diff --git a/README.md b/README.md
new file mode 100644
index 0000000..9264742
--- /dev/null
+++ b/README.md
@@ -0,0 +1,26 @@
+Changes of the current version compared to public TIEGCM v2\.0 \(2016\):
+
+- The job script is modified to support arbitrary combination of horizontal and vertical resolutions, change of magnetic grids is also supported\.
+- The job script, defs\.h and initialization of some altitude\-dependent variables \(xfac/ar\_glbm/aureff/bdriz\) are rewritten to support the extension of the upper boundary\.
+- The modeltime of input/output is set to 4 digits \(day/hour/minute/second\) instead of the old 3\-digit format \(day/hour/minute\) to allow a higher cadence\.
+- The calculation of N2 mixing ratio, mean molecular mass and scale height is unified in the model to avoid recalculation\. Some artificial caps of N2 mixing ratio are removed\.
+- Rewrite the Helium module and it is now included with in all resolutions \(default on\)\.
+- The old Fourier filter is replaced with the new ring filter\.
+- An additional input parameter NSTEP\_SUB is introduced to control the number of O\+ sub\-cyling\.
+- NetCDF4 parallel IO is turned on to reduce the memory usage on root task\.
+- ESMF calls are modified to ensure bit\-for\-bit reproducibility\.
+- IGRF is updated to the newest version\.
+- Magnetospheric coupling module is rewritten to support in-memory MPI data transfer\.
+- Simplify the code by removing unused parameters/argmuments/variables in some functions\.
+- Some MPI subroutines are rewritten to allow a speed boost\.
+- dipmin is set to sin\(dlat\*2\*dtr\) instead of manual setup in different resolutions\.
+- Some minor bug fixes\.
+
+Change of physics:
+- Modified the coefficients of solar heating \(Astrid Maute\)\.
+- Add a scaling factor in accounting for the height variation of equatorward electric field \(elam\) \(Astrid Maute\)\.
+- Include the field\-aligned ion drag in the momentum equation \(Jiuhou Lei\)\.
+- Change the parameterization scheme of electron heat flux \(fed\) near the equator in settei \(Tong Dang\)\.
+- Use a sixth\-order polynomial for thermal electron heating efficiency \(Yihui Cai\)\.
+- Electrojet turbulent heating, default off \(Jing Liu\)\.
+- Empirical SAPS, default off \(Cheng Sheng\)\.
\ No newline at end of file
diff --git a/benchmarks/archive_hpss b/benchmarks/archive_hpss
index f74612c..441e6c1 100755
--- a/benchmarks/archive_hpss
+++ b/benchmarks/archive_hpss
@@ -8,7 +8,7 @@ set mycwd = `pwd` # probably not necessary
 set model = tiegcm2.0
 set hpss_home  = /home/tgcm/$model
 set data_home  = /glade/p/hao/tgcm/data
-set bench_home = /glade/p/hao/tgcm/tiegcm_benchmarks
+set bench_home = /glade/p/hao/tgcm/tiegcm2.0/benchmarks
 #
 # Save model source that generated the benchmarks:
 #
diff --git a/benchmarks/postproc/runproc_climatology b/benchmarks/postproc/runproc_climatology
index cb9cf57..d5b6400 100755
--- a/benchmarks/postproc/runproc_climatology
+++ b/benchmarks/postproc/runproc_climatology
@@ -3,7 +3,7 @@
 # Make runs of post-processor to generate plots from one-year climatology benchmark runs:
 #
 set mycwd = `pwd`
-set home = /glade/p/hao/tgcm/tiegcm_benchmarks            # base working directory
+set home = /glade/p/hao/tgcm/tiegcm2.0/benchmarks         # base working directory
 set proc = $home/postproc/tgcmproc_f90/tgcmproc/tgcmproc  # python app to make multiple proc runs
 
 set singleut  = no   # generally do not make instantaneous plots for climatology
diff --git a/benchmarks/postproc/runproc_seasons b/benchmarks/postproc/runproc_seasons
index 12edb2b..8dbce62 100755
--- a/benchmarks/postproc/runproc_seasons
+++ b/benchmarks/postproc/runproc_seasons
@@ -4,7 +4,7 @@
 # (instantaneous and time-dependent)
 #
 set mycwd = `pwd`
-set home = /glade/p/hao/tgcm/tiegcm_benchmarks            # base working directory
+set home = /glade/p/hao/tgcm/tiegcm2.0/benchmarks         # base working directory
 set proc = $home/postproc/tgcmproc_f90/tgcmproc/tgcmproc  # python app to make multiple proc runs
 
 set singleut  = yes  # make instantaneous plots
@@ -30,14 +30,14 @@ foreach res ($resolutions)
   endif
 
   set runs = ( \
-    tiegcm_res${res}_decsol_smax \
-    tiegcm_res${res}_decsol_smin \
+#   tiegcm_res${res}_decsol_smax \
+#   tiegcm_res${res}_decsol_smin \
     tiegcm_res${res}_junsol_smax \
-    tiegcm_res${res}_junsol_smin \
-    tiegcm_res${res}_mareqx_smax \
-    tiegcm_res${res}_mareqx_smin \
-    tiegcm_res${res}_sepeqx_smax \
-    tiegcm_res${res}_sepeqx_smin \
+#   tiegcm_res${res}_junsol_smin \
+#   tiegcm_res${res}_mareqx_smax \
+#   tiegcm_res${res}_mareqx_smin \
+#   tiegcm_res${res}_sepeqx_smax \
+#   tiegcm_res${res}_sepeqx_smin \
   )
 
   set case   = tiegcm_res${res}_seasons
diff --git a/benchmarks/postproc/runproc_storms b/benchmarks/postproc/runproc_storms
index 1211ff3..22fef17 100755
--- a/benchmarks/postproc/runproc_storms
+++ b/benchmarks/postproc/runproc_storms
@@ -4,7 +4,7 @@
 # (instantaneous and time-dependent)
 #
 set mycwd = `pwd`
-set home = /glade/p/hao/tgcm/tiegcm_benchmarks            # base working directory
+set home = /glade/p/hao/tgcm/tiegcm2.0/benchmarks         # base working directory
 set proc = $home/postproc/tgcmproc_f90/tgcmproc/tgcmproc  # python app to make multiple proc runs
 
 set singleut  = yes  # make instantaneous plots
diff --git a/benchmarks/run_climatology b/benchmarks/run_climatology
index 6a424a3..3e16d9b 100755
--- a/benchmarks/run_climatology
+++ b/benchmarks/run_climatology
@@ -8,8 +8,9 @@
 # $modelroot: Model root directory (with src, scripts, etc)
 # $tgcmrun:   Path to tgcmrun executable (python)
 #
- set home      = /glade/p/hao/tgcm/tiegcm_benchmarks
- set modelroot = $home/tiegcm_trunk
+ set home      = /glade/p/hao/tgcm/tiegcm2.0/benchmarks
+ set modelroot = /glade/p/hao/tgcm/tiegcm2.0/tiegcm2.0
+ set tgcmdata  = /glade/p/hao/tgcm/data/tiegcm2.0
  set tgcmdata  = /glade/p/hao/tgcm/data/tiegcm2.0
  set tgcmrun   = $modelroot/tgcmrun/tgcmrun
  set queue     = regular # for LSF jobs
diff --git a/benchmarks/run_seasons b/benchmarks/run_seasons
index 1db818c..5df8db3 100755
--- a/benchmarks/run_seasons
+++ b/benchmarks/run_seasons
@@ -6,8 +6,8 @@
 # $modelroot: Model root directory (with src, scripts, etc)
 # $tgcmrun:   Path to tgcmrun executable (python)
 #
- set home      = /glade/p/hao/tgcm/tiegcm_benchmarks
- set modelroot = $home/tiegcm_trunk
+ set home      = /glade/p/hao/tgcm/tiegcm2.0/benchmarks
+ set modelroot = /glade/p/hao/tgcm/tiegcm2.0/tiegcm2.0
  set tgcmdata  = /glade/p/hao/tgcm/data/tiegcm2.0
  set tgcmrun   = $modelroot/tgcmrun/tgcmrun
  set queue     = regular # for LSF jobs
diff --git a/benchmarks/run_storms b/benchmarks/run_storms
index 048bb25..233108f 100755
--- a/benchmarks/run_storms
+++ b/benchmarks/run_storms
@@ -6,8 +6,9 @@
 # $modelroot: Model root directory (with src, scripts, etc)
 # $tgcmrun:   Path to tgcmrun executable (python)
 #
- set home      = /glade/p/hao/tgcm/tiegcm_benchmarks
- set modelroot = $home/tiegcm_trunk
+ set home      = /glade/p/hao/tgcm/tiegcm2.0/benchmarks
+ set modelroot = /glade/p/hao/tgcm/tiegcm2.0/tiegcm2.0
+ set tgcmdata  = /glade/p/hao/tgcm/data/tiegcm2.0
  set tgcmdata  = /glade/p/hao/tgcm/data/tiegcm2.0
  set tgcmrun   = $modelroot/tgcmrun/tgcmrun
  set queue     = regular # for LSF jobs
diff --git a/doc/description/addiag.tex b/doc/description/addiag.tex
index 024d538..9074304 100644
--- a/doc/description/addiag.tex
+++ b/doc/description/addiag.tex
@@ -1,152 +1,152 @@
-%
-\section{Calculation of geopotential height  \index{ADDIAG.F} }\label{cap:addiag}
-%
-The input to \src{subroutine addiag} is summarized in table
-\ref{tab:input_addiag}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-mass mixing ration of $O$ &       $\Psi_{O}$              & $-$   &  midpoints & $t_n$\\
-mass mixing ration of $O_2$ &       $\Psi_{O_2}$              & $-$   &  midpoints & $t_n$\\
-neutral meridional velocity &       $ v_n$              & $cm/s$   &
-midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine addiag}}
-\label{tab:input_addiag}
-\end{table}
-%
-The output of \src{subroutine addiag} is summarized in table
-\ref{tab:output_addiag}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-$\cos \lambda \cdot$ neutral meridional velocity  & $\cos \lambda v_n$ & cm/s$$ & midpoints  & $t_n$ \\
-mean molecular mass & $\overline{m}$ & $g/mole$ & interfaces  & $t_n+\Delta t$ \\
-conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbar} & $\#/cm^3 g/mole $ & midpoints  & $t_n+ \Delta t??$ \\
-conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbari} & $\#/cm^3 g/mole $ & interfaces  & $t_n+ \Delta t??$ \\
-conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbarm}
-& $\#/cm^3 g/mole $ & midpoints  & $t_n+ \Delta t??$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine addiag}}
-\label{tab:output_addiag}
-\end{table}
-%
-%
-The module data of \src{subroutine addiag} is summarized in table
-\ref{tab:module_addiag}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
- cosinus   &  {$\cos \lambda$}     & $-$   & - & $-$ \\
- height step   &  {$\Delta z$}     & $-$   & -  & $-$ \\
- \src{dzgrav}   &  {$g/R^*$}     & $$   & interfaces  & $t_n$ \\
- timestep size   &  {$\Delta t$}     & $s$   & -  & $-$ \\
-  \src{expz}  &  {$e^{-z-\frac{1}{2}\Delta z}$}     & $-$   & midpoints  & $-$ \\
-  \src{expzmid}  &  {$e^{-\frac{1}{2}\Delta z}$}     & $-$   & -  & $-$ \\
-  \src{expzmid\_inv}  &  {$e^{\frac{1}{2}\Delta z}$}     & $-$   & -  & $-$ \\
-   Boltzman constant &  {$k_B$}     & $1.38 \cdot 10^{16}$   & -  & $t_n$ \\
-   \src{freqsemidi} &  {$\frac{4 \Pi}{24 \cdot 60\cdot 60}$}     & $rad/s$   & -  & $-$ \\
-  \src{ci}  &  {$$}     & $(0,1)$   & interfaces  & $t_n$
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine addiag}}
-\label{tab:module_addiag}
-\end{table}
-%
-First the term $\cos \lambda v_n$ is calculated on the midpoint
-pressure level and stored in the variable \src{vc}. The mean
-molecular mass is determined by
-%
-\begin{align}
- \overline{m} = \left[ \frac{\Psi_{O_2}}{m_{O_2}}+ \frac{\Psi_{O}}{m_{O}}+
-        \frac{\Psi_{N_2}}{m_{N_2}}\right]^{-1}
-\end{align}
-%
-with the mass mixing ratio of $N_2$ determined by $\Psi_{N_2} = 1-
-\Psi_{O} - \Psi_{O_2}$. Before the mean molecular weight is returned
-from the subroutine it is transferred to the interface pressure
-level by averaging.
-%
-\begin{align}
- \overline{m}(z) = \frac{1}{2} \left( \overline{m}(z+\frac{1}{2}\Delta z)+
-           \overline{m}(z-\frac{1}{2}\Delta z) \right)
-\end{align}
-%
-with the lower boundary value extrapolated
-%
-\begin{align}
- \overline{m}(z_{bot}) = 1.5 \overline{m}(z_{bot}+\frac{1}{2}\Delta
- z)-0.5   \overline{m}(z_{bot}+\frac{3}{2}\Delta z)
-\end{align}
-%
-The conversion factor from mass mixing ratio to number density is
-first evaluated at the midpoint level
-%
-\begin{align}
- n \overline{m}(z+\frac{1}{2}\Delta z) = p_0 e^{-z-\frac{1}{2}\Delta z}
- \frac{\overline{m}(z+\frac{1}{2}\Delta z)}{k_B T_n(z+\frac{1}{2}\Delta z)}
-\end{align}
-%
-which is stored in the variable \src{xnmbarm}. I'm not sure why this
-is done, but again is the conversion factor from mass mixing ratio
-to number density calculated and stored in \src{xnmbar}. The only
-difference to the above factor is that now the mean molecular mass
-is already on the interface pressure level and converted back to the
-midpoint pressure level. Afterward the mean molecular mass on the
-interface pressure level is determined
-%
-\begin{align}
- n \overline{m}(z) = p_0 e^{\frac{1}{2}\Delta z} e^{-z-\frac{1}{2}\Delta z}
- \frac{\overline{m}(z)}{k_B T_n(z)}
-\end{align}
-%
-with $T_n(z_{top}) = T_n(z_{top}-\frac{1}{2} \Delta z)$, and the
-value $e^{-\frac{1}{2}\Delta z} e^{-z_{top}+\frac{1}{2}\Delta z}$ at
-the upper boundary. \\
-
-%
-The geopotential height is calculated by using the hydrostatic
-equation
-%
-\begin{align}
-   \frac{\partial Z}{\partial z} = \frac{R^* T_n}{\overline{m} g} = H
-\end{align}
-%
-with $\Delta Z = H \Delta z$. First the term $H \Delta z$  is set
-which is stored in the variable \src{w1}
-%
-\begin{align}
-   w1(z+\frac{1}{2} \Delta z) = \frac{\Delta z R^*}{g}\frac{T_n(z+\frac{1}{2} \Delta z) }
-   {\overline{m}(z+\frac{1}{2} \Delta z)} \label{eq:addiag_w1}
-\end{align}
-%
-The lower boundary values of the geopotential height are set from
-the Hough modes or GSWM with possible contribution from the
-semidiurnal migrating tide $Z_{SD}$, the migrating diurnal tide
-$Z_D$, the annual tide $Z_A$, and the nonmigrating semidiurnal and
-diurnal tides $Z_{nSD}$ and $Z_{nD}$, respectively.
-%
-\begin{align}
-   Z(z_{bot}) = Z_{SD} + Z_{D} + Z_A + Z_{nSD} + Z_{nD}
-\end{align}
-%
-All the tidal contributions are defined at the lower boundary
-pressure level $z= -7$. The geopotential height is evaluated then by
-%
-\begin{align}
-   Z(z+ \Delta z) = w1(z+\frac{1}{2} \Delta z) + Z(z)
-\end{align}
-%
-with $w1 = \frac{\Delta z R^*}{g}\frac{T_n }{\overline{m}}$ (see eq.
-(\ref{eq:addiag_w1}))
+%
+\section{Calculation of geopotential height  \index{ADDIAG.F} }\label{cap:addiag}
+%
+The input to \src{subroutine addiag} is summarized in table
+\ref{tab:input_addiag}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+mass mixing ration of $O$ &       $\Psi_{O}$              & $-$   &  midpoints & $t_n$\\
+mass mixing ration of $O_2$ &       $\Psi_{O_2}$              & $-$   &  midpoints & $t_n$\\
+neutral meridional velocity &       $ v_n$              & $cm/s$   &
+midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine addiag}}
+\label{tab:input_addiag}
+\end{table}
+%
+The output of \src{subroutine addiag} is summarized in table
+\ref{tab:output_addiag}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+$\cos \lambda \cdot$ neutral meridional velocity  & $\cos \lambda v_n$ & cm/s$$ & midpoints  & $t_n$ \\
+mean molecular mass & $\overline{m}$ & $g/mole$ & interfaces  & $t_n+\Delta t$ \\
+conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbar} & $\#/cm^3 g/mole $ & midpoints  & $t_n+ \Delta t??$ \\
+conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbari} & $\#/cm^3 g/mole $ & interfaces  & $t_n+ \Delta t??$ \\
+conversion factor $mmr$ to $\#/cm^3$ & $N\overline{m}$ \src{xnmbarm}
+& $\#/cm^3 g/mole $ & midpoints  & $t_n+ \Delta t??$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine addiag}}
+\label{tab:output_addiag}
+\end{table}
+%
+%
+The module data of \src{subroutine addiag} is summarized in table
+\ref{tab:module_addiag}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+ cosinus   &  {$\cos \lambda$}     & $-$   & - & $-$ \\
+ height step   &  {$\Delta z$}     & $-$   & -  & $-$ \\
+ \src{dzgrav}   &  {$g/R^*$}     & $$   & interfaces  & $t_n$ \\
+ timestep size   &  {$\Delta t$}     & $s$   & -  & $-$ \\
+  \src{expz}  &  {$e^{-z-\frac{1}{2}\Delta z}$}     & $-$   & midpoints  & $-$ \\
+  \src{expzmid}  &  {$e^{-\frac{1}{2}\Delta z}$}     & $-$   & -  & $-$ \\
+  \src{expzmid\_inv}  &  {$e^{\frac{1}{2}\Delta z}$}     & $-$   & -  & $-$ \\
+   Boltzman constant &  {$k_B$}     & $1.38 \cdot 10^{16}$   & -  & $t_n$ \\
+   \src{freqsemidi} &  {$\frac{4 \Pi}{24 \cdot 60\cdot 60}$}     & $rad/s$   & -  & $-$ \\
+  \src{ci}  &  {$$}     & $(0,1)$   & interfaces  & $t_n$
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine addiag}}
+\label{tab:module_addiag}
+\end{table}
+%
+First the term $\cos \lambda v_n$ is calculated on the midpoint
+pressure level and stored in the variable \src{vc}. The mean
+molecular mass is determined by
+%
+\begin{align}
+ \overline{m} = \left[ \frac{\Psi_{O_2}}{m_{O_2}}+ \frac{\Psi_{O}}{m_{O}}+
+        \frac{\Psi_{N_2}}{m_{N_2}}\right]^{-1}
+\end{align}
+%
+with the mass mixing ratio of $N_2$ determined by $\Psi_{N_2} = 1-
+\Psi_{O} - \Psi_{O_2}$. Before the mean molecular weight is returned
+from the subroutine it is transferred to the interface pressure
+level by averaging.
+%
+\begin{align}
+ \overline{m}(z) = \frac{1}{2} \left( \overline{m}(z+\frac{1}{2}\Delta z)+
+           \overline{m}(z-\frac{1}{2}\Delta z) \right)
+\end{align}
+%
+with the lower boundary value extrapolated
+%
+\begin{align}
+ \overline{m}(z_{bot}) = 1.5 \overline{m}(z_{bot}+\frac{1}{2}\Delta
+ z)-0.5   \overline{m}(z_{bot}+\frac{3}{2}\Delta z)
+\end{align}
+%
+The conversion factor from mass mixing ratio to number density is
+first evaluated at the midpoint level
+%
+\begin{align}
+ n \overline{m}(z+\frac{1}{2}\Delta z) = p_0 e^{-z-\frac{1}{2}\Delta z}
+ \frac{\overline{m}(z+\frac{1}{2}\Delta z)}{k_B T_n(z+\frac{1}{2}\Delta z)}
+\end{align}
+%
+which is stored in the variable \src{xnmbarm}. I'm not sure why this
+is done, but again is the conversion factor from mass mixing ratio
+to number density calculated and stored in \src{xnmbar}. The only
+difference to the above factor is that now the mean molecular mass
+is already on the interface pressure level and converted back to the
+midpoint pressure level. Afterward the mean molecular mass on the
+interface pressure level is determined
+%
+\begin{align}
+ n \overline{m}(z) = p_0 e^{\frac{1}{2}\Delta z} e^{-z-\frac{1}{2}\Delta z}
+ \frac{\overline{m}(z)}{k_B T_n(z)}
+\end{align}
+%
+with $T_n(z_{top}) = T_n(z_{top}-\frac{1}{2} \Delta z)$, and the
+value $e^{-\frac{1}{2}\Delta z} e^{-z_{top}+\frac{1}{2}\Delta z}$ at
+the upper boundary. \\
+
+%
+The geopotential height is calculated by using the hydrostatic
+equation
+%
+\begin{align}
+   \frac{\partial Z}{\partial z} = \frac{R^* T_n}{\overline{m} g} = H
+\end{align}
+%
+with $\Delta Z = H \Delta z$. First the term $H \Delta z$  is set
+which is stored in the variable \src{w1}
+%
+\begin{align}
+   w1(z+\frac{1}{2} \Delta z) = \frac{\Delta z R^*}{g}\frac{T_n(z+\frac{1}{2} \Delta z) }
+   {\overline{m}(z+\frac{1}{2} \Delta z)} \label{eq:addiag_w1}
+\end{align}
+%
+The lower boundary values of the geopotential height are set from
+the Hough modes or GSWM with possible contribution from the
+semidiurnal migrating tide $Z_{SD}$, the migrating diurnal tide
+$Z_D$, the annual tide $Z_A$, and the nonmigrating semidiurnal and
+diurnal tides $Z_{nSD}$ and $Z_{nD}$, respectively.
+%
+\begin{align}
+   Z(z_{bot}) = Z_{SD} + Z_{D} + Z_A + Z_{nSD} + Z_{nD}
+\end{align}
+%
+All the tidal contributions are defined at the lower boundary
+pressure level $z= -7$. The geopotential height is evaluated then by
+%
+\begin{align}
+   Z(z+ \Delta z) = w1(z+\frac{1}{2} \Delta z) + Z(z)
+\end{align}
+%
+with $w1 = \frac{\Delta z R^*}{g}\frac{T_n }{\overline{m}}$ (see eq.
+(\ref{eq:addiag_w1}))
diff --git a/doc/description/chemrates.tex b/doc/description/chemrates.tex
index 550dad0..a75edda 100644
--- a/doc/description/chemrates.tex
+++ b/doc/description/chemrates.tex
@@ -1,125 +1,125 @@
-%
-\section{Calculation of chemical reaction rates  \index{CHEMRATES.F}}\label{cap:chemrates}
-%
-The chemical reaction rates can be found in \cite{roble1995}, and
-\cite{roble1987}
-% Roble, 1995 Energetics of the Mesosphere and Thermosphere. Monograph 87, AGU
-% Roble, R.G., Ridley, E.C.: An auroral Model for the NCAR Thermospheric General Circulation Model,
-%   Annales Geophysicae, 5A, (6), 369-382, 1987
-%
-In this module the time independent reaction rates are set as module
-data. The time dependent rates are calculated in the \src{subroutine
-chemrates\_tdep}. First we describe the time independent rates for
-the ion chemistry:
-%
-\subsection{Module data}\label{cap:subsec_module_rates}
-
-\begin{align}
- O_2^+ + N(^4S) & \stackrel{k_4}{\longrightarrow}  NO^+ + O + 4.21 eV  & \;\;\; k_4 = 1\cdot 10^{-10} \\
- O_2^+ + NO     & \stackrel{k_5}{\longrightarrow}  NO^+ + O_2 + 2.813 eV  & \;\;\; k_5 = 4.4\cdot 10^{-10} \\
- N^+ + O_2      & \stackrel{k_6}{\longrightarrow}  O_2^+ + N(^4S) + 2.486 eV  & \;\;\; k_6 = 4.\cdot 10^{-10} \\
- N^+ + O_2      & \stackrel{k_7}{\longrightarrow}  NO^+ + O + 6.669 eV  & \;\;\; k_7 = 2.\cdot 10^{-10} \\
- N^+ + O        & \stackrel{k_8}{\longrightarrow}  O^+ + N + 0.98 eV  & \;\;\; k_8 = 1\cdot 10^{-12} \\
- N_2^+ + O_2 & \stackrel{k_9}{\longrightarrow}  O_2^+ + N_2 + 3.52 eV  & \;\;\; k_9 = 6.\cdot 10^{-11} \\
- O^+ + N(^2D) & \stackrel{k_{10}}{\longrightarrow}  N^+ + O + 1.45 eV  & \;\;\; k_{10} = 1.3\cdot 10^{-10} \\
- O^+(^2P) + N_2 & \stackrel{k_{16}}{\longrightarrow}  N_2^+ + O + 3.02 eV  & \;\;\; k_{16} = 4.8\cdot 10^{-10} \\
- O^+(^2P) + N_2 & \stackrel{k_{17}}{\longrightarrow}  N^+ + NO + 0.7 eV  & \;\;\; k_{17} = 1.0\cdot 10^{-10} \\
- O^+(^2P) + O & \stackrel{k_{18}}{\longrightarrow}  O^+ + O + 5.2 eV  &  \;\;\;k_{18} = 4.0\cdot 10^{-10} \\
- O^+(^2P)  & \stackrel{k_{21}}{\longrightarrow}  O^+ + h\nu(2470 {\AA}) & \;\;\; k_{21} = 0.047 \\
- O^+(^2P)  & \stackrel{k_{22}}{\longrightarrow}  O^+ + h\nu(7320 {\AA}) & \;\;\; k_{22} = 0.171 \\
- O^+(^2D) + N_2 & \stackrel{k_{23}}{\longrightarrow}  N_2^+ + O + 1.33 eV  & \;\;\; k_{23} = 8.0\cdot 10^{-10} \\
- O^+(^2D) + O & \stackrel{k_{24}}{\longrightarrow}  O^+(^4S) + e + 3.31 eV  & \;\;\; k_{24} = 5.0\cdot 10^{-12} \\
- O^+(^2D) + O_2 & \stackrel{k_{26}}{\longrightarrow}  O_2 + O + 4.865 eV  & \;\;\; k_{26} = 7.0\cdot 10^{-10} \\
-  & \stackrel{k_{27}}{\longrightarrow}     & k_{27} = 7.7\cdot 10^{-5}
-\end{align}
-%
-The time independent rates for the neutral chemistry are
-%
-\begin{align}
- N(^2D) + O_2 & \stackrel{\beta_2}{\longrightarrow}  NO + O(^1D) + 1.84 eV  & \;\;\; \beta_2 = 5.\cdot 10^{-12} \\
- N(^2D) + O   & \stackrel{\beta_4}{\longrightarrow}  N(^4S) + O + 2.38 eV   & \;\;\; \beta_4 = 7.\cdot 10^{-13} \\
- N(^2D) + NO  & \stackrel{\beta_6}{\longrightarrow}  N_2 + O + 5.63 eV      & \;\;\; \beta_6 = 7.\cdot 10^{-11} \\
- N(^2D)       & \stackrel{\beta_7}{\longrightarrow}  N(^4S) + h \nu  & \;\;\; \beta_2 = 1.06\cdot 10^{-5} \\
-\end{align}
-%
-The temperature dependent rates are calculated at every timestep and
-every latitude. For the ion chemistry these reaction rates are:
-%
-\begin{align}
- O^+ + O_2  \stackrel{k_1}{\longrightarrow}& \;\; O + O_2^+ + 1.555 eV   \\
- O^+ + N_2  \stackrel{k_2}{\longrightarrow}& \;\;  NO^+ + N(^4S) + 1.0888 eV   \\
- N_2^+ + O  \stackrel{k_3}{\longrightarrow}& \;\;  NO^+ + N(^2D) + 0.7 eV   \\
- NO^+ + e \stackrel{a_1}{\longrightarrow}& \;\;  0.2 [N(^4S) + O + 2.75 eV]   \\
-                     & \;\; 0.8 [N(^2D) + O + 0.38 eV]  ) \notag \\
- O_2^+ + e  \stackrel{a_2}{\longrightarrow}& \;\; 0.15 [O  + O + 6.95 eV]   \\
-                     & \;\; 0.85 [O + O + 4.98 eV] ) \notag  \\
- N_2^+ + e  \stackrel{a_3}{\longrightarrow}& \;\; 0.1 [N(^4S) + N(^4S) + 5.82 eV]   \\
-                    & \;\;  0.9 [N(^2D) + N(^2D) + 3.44 eV] ) \notag  \\
-\end{align}
-%
-The time dependent reactions for the neutral chemistry are
-%
-\begin{align}
-  N(^4S) + O_2& \stackrel{\beta_1}{\longrightarrow}  NO + O   + 1.4 eV   \\
-  N(^4S) + NO & \stackrel{\beta_3}{\longrightarrow}  N_2 + O   + 3.25 eV   \\
-  N(^2D) + e  & \stackrel{\beta_5}{\longrightarrow}  N(^4S) + e  + 2.38 eV   \\
-  NO + h \nu  & \stackrel{\beta_8}{\longrightarrow}  N(^4S) + O    \\
-  NO + h \nu |_{Ly-\alpha}& \stackrel{\beta_9}{\longrightarrow}  NO^+ + e    \\
-  & \stackrel{\beta_{9n}}{\longrightarrow}      \\
-  & \stackrel{\beta_{17}}{\longrightarrow}    \\
-  O^+(^2P) + e  & \stackrel{k_{19}}{\longrightarrow}  O^+(^4S) + e  + 5.0 eV   \\
-  O^+(^2P) + e  & \stackrel{k_{20}}{\longrightarrow}  O^+(^2O) + e  + 1.69 eV   \\
-  O^+(^2D) + e  & \stackrel{k_{25}}{\longrightarrow}  O^+(^4S) + e  + 3.31 eV   \\
-  O + O + N_2  & \stackrel{k_{m12}}{\longrightarrow}  O_2 + N_2  + 5.0 eV  
-\end{align}
-%
-\subsection{Calculation of time dependent reaction rates}\label{cap:subsec_tdep_rates}
-%
-The time dependent rates, mentioned in the previous section
-\ref{cap:subsec_module_rates} are calculated in the \src{subroutine
-chemrates\_tdep}. The temperatures are set by
-%
-\begin{align}
-  T_1 = & \frac{1}{300} (\frac{2}{3} T_i + \frac{1}{3} T_n) \notag \\
-  T_2 = & \frac{1}{300} (0.6363 T_i + 0.3637 T_n) \notag \\
-  T_3 = & \frac{1}{2} \frac{1}{300}(T_i + T_n)
-\end{align}
-%
-with $T_i$, $T_e$ and $T_n$ denoting the ion, electron and neutral
-temperature, respectively.
-%
-\begin{align}
-  k_1  = & 1.6 \cdot 10^{-11} T_1 ^{-0.52} + 5.5 \cdot 10^{-11}
-      e^{-22.85/T_1} \\
-  k_2^* = & (8.6 \cdot 10^{-11} T-2 - 5.92 \cdot 10^{-13}) T_2 + 1.533
-      \cdot ^{-12} \\
-  e^t = & e^{-3353/t_n} \notag \\
-  k_2 = & [(\{ [( 270. e^t + 220.) e^t + 85] e^t + 38\} e^t + \notag \\
-        & 1 ) k_2^* e^t + k_2^* ] (1-e^t) \\
-  k_3 = & 5.2\cdot 10^{-11} T_3^{0.2} \text{for} \frac{1}{2}(T_i + T_n) > 1500K \notag \\
-  k_3 = & 1.4\cdot 10^{-10} T_3^{-0.44} \text{for} \frac{1}{2}(T_i + T_n) \leq 1500K \\
-  k_{19} = & 4. 10^{-8} \sqrt{300/T_e} \\
-  k_{20} = & 1.5 10^{-7} \sqrt{300/T_e} \\
-  k_{25} = & 6.6 10^{-8} \sqrt{300/T_e} \\
-  k_{m,12} = & 9.59 10^{-34} e^{480/T_n} \\
-  a_1 = & 4.2 10^{-7} (300/T_e)^{0.85} \\
-  a_2 = & 1.6 10^{-7} (300/T_e)^{0.55} \; T_e \geq 1200 K \notag \\
-  a_2 = & 2.7 10^{-7} (300/T_e)^{0.7} \; T_e < 1200 K \\
-  a_3 = & 1.8 10^{-7} (300/T_e)^{0.39} \\
-  \beta_1 = &1.5 10^{-11} e^{-3600/T_n} \\
-  \beta_3 = &3.4 10^{-11} \sqrt{T_n/300} \\
-  \beta_5 = &3.6 10^{-10} \sqrt{T_e/300} \\
- \beta_8 = & 4.5^{-6}(1 + 0.11 \frac{F_{10.7} -65}{165}) e^{-1
- 10^{-8}fnO_2^{0.38}}fls
-\end{align}
-%
-with $FnO_2$ the $O_2$ line integral from \src{chapman.F}, $FNvO_2$
-the column number density of $O_2$ from \src{chapman.F}, and $fls$
-denotes the flux variation due to orbital excentricity (from
-\src{init\_module}. The $10.7$ cm flux is denoted by $F_{10.7}$.
-%
-\begin{align}
-  \beta_9 = &2.91 10^{11}(1 + 0.2  \frac{F_{10.7} -65}{100}) 2 10^{-18}e^{1-8.10^{-21}FnO_2}fls \\
-  \beta_{9n} = &5 10^{9}(1 + 0.2  \frac{F_{10.7} -65}{100}) 2 10^{-18}e^{1-8.10^{-21}FnvO_2}fls \\
-\end{align}
-%
+%
+\section{Calculation of chemical reaction rates  \index{CHEMRATES.F}}\label{cap:chemrates}
+%
+The chemical reaction rates can be found in \cite{roble1995}, and
+\cite{roble1987}
+% Roble, 1995 Energetics of the Mesosphere and Thermosphere. Monograph 87, AGU
+% Roble, R.G., Ridley, E.C.: An auroral Model for the NCAR Thermospheric General Circulation Model,
+%   Annales Geophysicae, 5A, (6), 369-382, 1987
+%
+In this module the time independent reaction rates are set as module
+data. The time dependent rates are calculated in the \src{subroutine
+chemrates\_tdep}. First we describe the time independent rates for
+the ion chemistry:
+%
+\subsection{Module data}\label{cap:subsec_module_rates}
+
+\begin{align}
+ O_2^+ + N(^4S) & \stackrel{k_4}{\longrightarrow}  NO^+ + O + 4.21 eV  & \;\;\; k_4 = 1\cdot 10^{-10} \\
+ O_2^+ + NO     & \stackrel{k_5}{\longrightarrow}  NO^+ + O_2 + 2.813 eV  & \;\;\; k_5 = 4.4\cdot 10^{-10} \\
+ N^+ + O_2      & \stackrel{k_6}{\longrightarrow}  O_2^+ + N(^4S) + 2.486 eV  & \;\;\; k_6 = 4.\cdot 10^{-10} \\
+ N^+ + O_2      & \stackrel{k_7}{\longrightarrow}  NO^+ + O + 6.669 eV  & \;\;\; k_7 = 2.\cdot 10^{-10} \\
+ N^+ + O        & \stackrel{k_8}{\longrightarrow}  O^+ + N + 0.98 eV  & \;\;\; k_8 = 1\cdot 10^{-12} \\
+ N_2^+ + O_2 & \stackrel{k_9}{\longrightarrow}  O_2^+ + N_2 + 3.52 eV  & \;\;\; k_9 = 6.\cdot 10^{-11} \\
+ O^+ + N(^2D) & \stackrel{k_{10}}{\longrightarrow}  N^+ + O + 1.45 eV  & \;\;\; k_{10} = 1.3\cdot 10^{-10} \\
+ O^+(^2P) + N_2 & \stackrel{k_{16}}{\longrightarrow}  N_2^+ + O + 3.02 eV  & \;\;\; k_{16} = 4.8\cdot 10^{-10} \\
+ O^+(^2P) + N_2 & \stackrel{k_{17}}{\longrightarrow}  N^+ + NO + 0.7 eV  & \;\;\; k_{17} = 1.0\cdot 10^{-10} \\
+ O^+(^2P) + O & \stackrel{k_{18}}{\longrightarrow}  O^+ + O + 5.2 eV  &  \;\;\;k_{18} = 4.0\cdot 10^{-10} \\
+ O^+(^2P)  & \stackrel{k_{21}}{\longrightarrow}  O^+ + h\nu(2470 {\AA}) & \;\;\; k_{21} = 0.047 \\
+ O^+(^2P)  & \stackrel{k_{22}}{\longrightarrow}  O^+ + h\nu(7320 {\AA}) & \;\;\; k_{22} = 0.171 \\
+ O^+(^2D) + N_2 & \stackrel{k_{23}}{\longrightarrow}  N_2^+ + O + 1.33 eV  & \;\;\; k_{23} = 8.0\cdot 10^{-10} \\
+ O^+(^2D) + O & \stackrel{k_{24}}{\longrightarrow}  O^+(^4S) + e + 3.31 eV  & \;\;\; k_{24} = 5.0\cdot 10^{-12} \\
+ O^+(^2D) + O_2 & \stackrel{k_{26}}{\longrightarrow}  O_2 + O + 4.865 eV  & \;\;\; k_{26} = 7.0\cdot 10^{-10} \\
+  & \stackrel{k_{27}}{\longrightarrow}     & k_{27} = 7.7\cdot 10^{-5}
+\end{align}
+%
+The time independent rates for the neutral chemistry are
+%
+\begin{align}
+ N(^2D) + O_2 & \stackrel{\beta_2}{\longrightarrow}  NO + O(^1D) + 1.84 eV  & \;\;\; \beta_2 = 5.\cdot 10^{-12} \\
+ N(^2D) + O   & \stackrel{\beta_4}{\longrightarrow}  N(^4S) + O + 2.38 eV   & \;\;\; \beta_4 = 7.\cdot 10^{-13} \\
+ N(^2D) + NO  & \stackrel{\beta_6}{\longrightarrow}  N_2 + O + 5.63 eV      & \;\;\; \beta_6 = 7.\cdot 10^{-11} \\
+ N(^2D)       & \stackrel{\beta_7}{\longrightarrow}  N(^4S) + h \nu  & \;\;\; \beta_2 = 1.06\cdot 10^{-5} \\
+\end{align}
+%
+The temperature dependent rates are calculated at every timestep and
+every latitude. For the ion chemistry these reaction rates are:
+%
+\begin{align}
+ O^+ + O_2  \stackrel{k_1}{\longrightarrow}& \;\; O + O_2^+ + 1.555 eV   \\
+ O^+ + N_2  \stackrel{k_2}{\longrightarrow}& \;\;  NO^+ + N(^4S) + 1.0888 eV   \\
+ N_2^+ + O  \stackrel{k_3}{\longrightarrow}& \;\;  NO^+ + N(^2D) + 0.7 eV   \\
+ NO^+ + e \stackrel{a_1}{\longrightarrow}& \;\;  0.2 [N(^4S) + O + 2.75 eV]   \\
+                     & \;\; 0.8 [N(^2D) + O + 0.38 eV]  ) \notag \\
+ O_2^+ + e  \stackrel{a_2}{\longrightarrow}& \;\; 0.15 [O  + O + 6.95 eV]   \\
+                     & \;\; 0.85 [O + O + 4.98 eV] ) \notag  \\
+ N_2^+ + e  \stackrel{a_3}{\longrightarrow}& \;\; 0.1 [N(^4S) + N(^4S) + 5.82 eV]   \\
+                    & \;\;  0.9 [N(^2D) + N(^2D) + 3.44 eV] ) \notag  \\
+\end{align}
+%
+The time dependent reactions for the neutral chemistry are
+%
+\begin{align}
+  N(^4S) + O_2& \stackrel{\beta_1}{\longrightarrow}  NO + O   + 1.4 eV   \\
+  N(^4S) + NO & \stackrel{\beta_3}{\longrightarrow}  N_2 + O   + 3.25 eV   \\
+  N(^2D) + e  & \stackrel{\beta_5}{\longrightarrow}  N(^4S) + e  + 2.38 eV   \\
+  NO + h \nu  & \stackrel{\beta_8}{\longrightarrow}  N(^4S) + O    \\
+  NO + h \nu |_{Ly-\alpha}& \stackrel{\beta_9}{\longrightarrow}  NO^+ + e    \\
+  & \stackrel{\beta_{9n}}{\longrightarrow}      \\
+  & \stackrel{\beta_{17}}{\longrightarrow}    \\
+  O^+(^2P) + e  & \stackrel{k_{19}}{\longrightarrow}  O^+(^4S) + e  + 5.0 eV   \\
+  O^+(^2P) + e  & \stackrel{k_{20}}{\longrightarrow}  O^+(^2O) + e  + 1.69 eV   \\
+  O^+(^2D) + e  & \stackrel{k_{25}}{\longrightarrow}  O^+(^4S) + e  + 3.31 eV   \\
+  O + O + N_2  & \stackrel{k_{m12}}{\longrightarrow}  O_2 + N_2  + 5.0 eV  
+\end{align}
+%
+\subsection{Calculation of time dependent reaction rates}\label{cap:subsec_tdep_rates}
+%
+The time dependent rates, mentioned in the previous section
+\ref{cap:subsec_module_rates} are calculated in the \src{subroutine
+chemrates\_tdep}. The temperatures are set by
+%
+\begin{align}
+  T_1 = & \frac{1}{300} (\frac{2}{3} T_i + \frac{1}{3} T_n) \notag \\
+  T_2 = & \frac{1}{300} (0.6363 T_i + 0.3637 T_n) \notag \\
+  T_3 = & \frac{1}{2} \frac{1}{300}(T_i + T_n)
+\end{align}
+%
+with $T_i$, $T_e$ and $T_n$ denoting the ion, electron and neutral
+temperature, respectively.
+%
+\begin{align}
+  k_1  = & 1.6 \cdot 10^{-11} T_1 ^{-0.52} + 5.5 \cdot 10^{-11}
+      e^{-22.85/T_1} \\
+  k_2^* = & (8.6 \cdot 10^{-11} T-2 - 5.92 \cdot 10^{-13}) T_2 + 1.533
+      \cdot ^{-12} \\
+  e^t = & e^{-3353/t_n} \notag \\
+  k_2 = & [(\{ [( 270. e^t + 220.) e^t + 85] e^t + 38\} e^t + \notag \\
+        & 1 ) k_2^* e^t + k_2^* ] (1-e^t) \\
+  k_3 = & 5.2\cdot 10^{-11} T_3^{0.2} \text{for} \frac{1}{2}(T_i + T_n) > 1500K \notag \\
+  k_3 = & 1.4\cdot 10^{-10} T_3^{-0.44} \text{for} \frac{1}{2}(T_i + T_n) \leq 1500K \\
+  k_{19} = & 4. 10^{-8} \sqrt{300/T_e} \\
+  k_{20} = & 1.5 10^{-7} \sqrt{300/T_e} \\
+  k_{25} = & 6.6 10^{-8} \sqrt{300/T_e} \\
+  k_{m,12} = & 9.59 10^{-34} e^{480/T_n} \\
+  a_1 = & 4.2 10^{-7} (300/T_e)^{0.85} \\
+  a_2 = & 1.6 10^{-7} (300/T_e)^{0.55} \; T_e \geq 1200 K \notag \\
+  a_2 = & 2.7 10^{-7} (300/T_e)^{0.7} \; T_e < 1200 K \\
+  a_3 = & 1.8 10^{-7} (300/T_e)^{0.39} \\
+  \beta_1 = &1.5 10^{-11} e^{-3600/T_n} \\
+  \beta_3 = &3.4 10^{-11} \sqrt{T_n/300} \\
+  \beta_5 = &3.6 10^{-10} \sqrt{T_e/300} \\
+ \beta_8 = & 4.5^{-6}(1 + 0.11 \frac{F_{10.7} -65}{165}) e^{-1
+ 10^{-8}fnO_2^{0.38}}fls
+\end{align}
+%
+with $FnO_2$ the $O_2$ line integral from \src{chapman.F}, $FNvO_2$
+the column number density of $O_2$ from \src{chapman.F}, and $fls$
+denotes the flux variation due to orbital excentricity (from
+\src{init\_module}. The $10.7$ cm flux is denoted by $F_{10.7}$.
+%
+\begin{align}
+  \beta_9 = &2.91 10^{11}(1 + 0.2  \frac{F_{10.7} -65}{100}) 2 10^{-18}e^{1-8.10^{-21}FnO_2}fls \\
+  \beta_{9n} = &5 10^{9}(1 + 0.2  \frac{F_{10.7} -65}{100}) 2 10^{-18}e^{1-8.10^{-21}FnvO_2}fls \\
+\end{align}
+%
diff --git a/doc/description/comp_n2d_n4s_no.tex b/doc/description/comp_n2d_n4s_no.tex
index 1188eaa..bae3951 100644
--- a/doc/description/comp_n2d_n4s_no.tex
+++ b/doc/description/comp_n2d_n4s_no.tex
@@ -1,283 +1,283 @@
-%
-\section{Calculation of Minor species $N(^2D)$,$N(^4S)$, and $NO$  \index{COMP\_N2D.F} \index{COMP\_N4S.F} \index{COMP\_NO.F}}\label{cap:comp_n}
-%
-\subsection{Calculation of $N(^2D)$}\label{subcap:comp_n2d}
-%
-The input to \src{subroutine comp\_n2d} is summarized in table
-\ref{tab:input_comp_n2d}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N(^2P)$&       $n(N(^2P))$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-conversion factor&       $N \overline{m}$              & $\#/cm^3
-g/mole$   &  midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_n2d}}
-\label{tab:input_comp_n2d}
-\end{table}
-%
-The output of \src{subroutine comp\_n2d} is summarized in table
-\ref{tab:output_comp_n2d}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline mass mixing ratio $N(^2D)$ &
-$\Psi(N(^2D))$ & $-$ & midpoints & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine comp\_n2d}}
-\label{tab:output_comp_n2d}
-\end{table}
-%
-$N(^2D)$ is assumed to be in photochemical equilibrium, such that
-the production $P(N(^2D))$ and loss rate $L(N(^2D))$ of $N(^2D)$ is
-balanced.
-%
-\begin{align}
-  n(N(^2D)) = \frac{P(N(^2D))}{L(N(^2D))}
-\end{align}
-%
-The production is due to solar EUV photodissociation of $N_2$, and
-ion and neutral chemistry
-%
-\begin{align}
- P(N(^2D))&(z+\frac{1}{2}\Delta z) = \frac{1}{2} \left[ Q_{tef}(z) +  Q_{tef}(z+\Delta z)\right]
-   br_{N^2D} + \notag \\
-   & k_3 n(N_2^+)N \overline{m}\frac{\Psi(O)}{m_o} +
-   ( \alpha_1 n(NO^+) 0.85 + \notag \\
-   & \alpha_3 n(N_2^+) 0.9 )
-   \sqrt{Ne(z) Ne(z+\Delta z}
-\end{align}
-%
-with the branching ratio of producing $N(^2D)$ which is set to 0.6.
-The chemical reaction rates are $\alpha$ and $k$ defined in the
-\src{chemrates\_module}. The total production rate due to solar
-radiation and auroral particle precipitation is denoted by $Q_{tef}$
-which is calculated in \src{subroutine qrj}. \\
-The loss term $L(N(^2D))$ is determined by
-%
-\begin{align}
-  L(N(^2D))(z+\frac{1}{2}\Delta z) = N\overline{m} \left[ \beta_2 \frac{\Psi(O_2)}{m_{O_2}} +
-     \beta_4 \frac{\Psi(O)}{m_{O}} +  \beta_6
-     \frac{\Psi(NO)}{m_{NO}}\right]+ \notag \\
-     \; \; \; \beta_7 + \beta_5\sqrt{Ne(z) Ne(z+\Delta z)} + k_{10}n(O^+)
-\end{align}
-%
-The chemical rates $\beta$ are defined in the module
-\src{chemrates\_module}. \\
-The number density $n(N(^2D))$ is converted to the mass mixing ratio
-by
-%
-\begin{align}
-  \Psi(N(^2D) = \frac{m_{N^2D}}{N \overline{m}}\frac{P(N(^2D))}{L(N(^2D))}
-\end{align}
-%
-\subsection{Calculation of $N(^4S)$}\label{subcap:comp_n4s}
-%
-The input to \src{subroutine comp\_n4s} is summarized in table
-\ref{tab:input_comp_n4s}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N^4$&       $n(N^4)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
-mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
-conversion factor&       $N \overline{m}$              & $\#/cm^3
-g/mole$   &  midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_n4s}}
-\label{tab:input_comp_n4s}
-\end{table}
-%
-The output of \src{subroutine comp\_n4s} are the factor which define
-the lower boundary calculated in \src{subroutine minor} by solving
-$A\frac{d X}{dZ} + B X + C = 0$. Also the upward flux at the upper
-boundary is defined, and the production $P$ and loss rate $L$ of
-$N(^4S)$. These values are stored in module data of the module
-\src{comp\_n4s}. After \src{subroutine comp\_n4s} the
-\src{subroutine minor\_n4s} is called to calculate the mass mixing
-ratio of $N(^4S)$. \src{Subroutine minor\_n4s} is not described here
-since it just calls \src{subroutine minor}. For information about
-\src{subroutine minor} please see chapter \ref{cap:minor}. The input
-to \src{subroutine minor} is described in table
-\ref{tab:input_minor} and the output in table
-\ref{tab:output_minor}, subsituting the species $X$ by $N(^4S)$. \\
-
-%
-%
-$N(^4S)$ has longer life time and is therefore influenced by the
-neutral winds. \\
-The lower boundary is given by photochemical equilibrium. The
-factors $A$, $B$, and $C$ for the equation solved in \src{subroutine
-minor} $A\frac{d \Psi(N(^4S))}{dZ} + B \Psi(N(^4S)) + C = 0$ are
-%
-\begin{align}
-  A =& 0 \notag \\
-  B =& 1. \notag \\
-  C =& (N(^4S))= \frac{P(N(^4S))}{L(N(^4S))}
-\end{align}
-%
-The conversion factor from number density to mass mixing ratio $N
-\overline{m}(z_{LB})$ at the lower boundary is
-%
-\begin{align}
- N \overline{m}(z_{LB})= p_0 e^{-z_{bot}-1/2\Delta z} e^{1/2\Delta
- z}\frac{\overline{m}(z_{bot})}{k_B T_n(z_{bot})}
-\end{align}
-%
-The mass mixing ratio ????? or number density at the lower boundary
-is then
-%
-\begin{align}
- C = & n(N(^4S))(z_{lbc})= \frac{m_{n(^4S)}}{N\overline{m}}[ Q_{tef}(1-br_{N^2D})
-  \frac{1}{N\overline{m}(z_{bot})} + \notag \\
-  & \frac{\Psi(N(^2D))}{m_{N^2D}}(
-  \beta_4 N \overline{m}(z_bot)\frac{\Psi(NO)}{m_o}+ \beta_5 Ne + \beta_7)
-  + \beta_8\frac{\Psi(NO)}{m_{NO}}]\notag \\
-   & \frac{1}{\beta_1
-  \frac{\Psi(O_2)}{m_{O_2}}+\beta_3\frac{\Psi(NO}{m_{NO}}+N\overline{m} \beta_{17}
-  \frac{\Psi(O)}{m(O)}\frac{\Psi(N_2)}{m_{N_2}}}
-\end{align}
-%
-At the upper boundary the upward diffusive flux  is set
-%
-\begin{align}
- n(N(^4S))(z_{ubc})= 0.
-\end{align}
-%
-The production rate $P$ of $N(^4S)$ is
-%
-\begin{align}
-P(N(^4S))=& \frac{1}{2} (Q_{tef}(z)+Q_{tef}(z+\Delta
-z))(1-br_{N^2D})
-+ \notag \\
-& N\overline{m} [\frac{\Psi(N^2D)}{m_{N^2D}}\left\{ \beta_5
- \frac{1}{2}(Ne(z) + Ne(z+\Delta z)+\beta_7\right\} + \notag \\
-&  \frac{1}{2}(\beta_8(z) + \beta_8(z+\Delta
- z))\frac{\Psi(NO)}{m_{NO}}]+  \notag \\
-& N\overline{m} [ k_2 n(O^+)\frac{\Psi(xN_2)}{m_{N_2}}+ k_6
- n(N^+)\frac{\Psi(O_2)}{m_{O_2}} k_8
- n(N^+)\frac{\Psi(O)}{m_{O}}+ \notag \\
-& \sqrt{Ne(z) \cdot Ne(z+\Delta z}
- (\alpha_1 n(NO^+)0.15 + \alpha_3 n(N_2^+)1.1)]
-\end{align}
-%
-and the loss rate $L$ of $N(^4S)$ is
-%
-\begin{align}
-  L(N(^4S)) = & -N\overline{m} \left[ \beta_1 \frac{\Psi(O_2)}{m_{O_2}} +
-   \beta_3 \frac{\Psi(NO)}{m_{NO}} + N \overline{m} \beta_{17} \frac{\Psi(O)}{m_{O}}
-    \frac{\Psi(xN_2)}{m_{N_2}} \right] - \notag \\
-    &  k_4 n(O_2^+)
-\end{align}
-%
-%
-%
-\subsection{Calculation of $NO$}\label{subcap:comp_no}
-%
-The input to \src{subroutine comp\_no} is summarized in table
-\ref{tab:input_comp_no}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $N(^4S)$ &       $\Psi(N(^4S))$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
-mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
-conversion factor&       $N \overline{m}$              & $\#/cm^3
-g/mole$   &  midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_no}}
-\label{tab:input_comp_no}
-\end{table}
-%
-The output of \src{subroutine comp\_no} are the factors $A$, $B$,
-and $C$ which define the lower boundary condition of  $NO$ , the
-upper boundary upward diffusive flux, and the production $P$ and
-loss rate $L$ of $NO$. These values are stored in module data of the
-module \src{comp\_no}. After \src{subroutine comp\_no} the
-\src{subroutine minor\_no} is called to calculate the mass mixing
-ratio of $NO$. \src{Subroutine minor\_no} is not described here
-since it just calls \src{subroutine minor}. For information about
-\src{subroutine minor} please see chapter \ref{cap:minor}. The input
-to \src{subroutine minor} is described in table
-\ref{tab:input_minor} and the output in table
-\ref{tab:output_minor}, subsituting the species $X$ by $NO$. \\
-
-
-%
-$NO$ has longer life time and is therefore influenced by the neutral
-winds. The lower boundary is given by photochemical equilibrium. The
-factors $A$, $B$, and $C$ for the equation solved in \src{subroutine
-minor} $A\frac{d \Psi(N(^4S))}{dZ} + B \Psi(N(^4S)) + C = 0$ are
-%
-\begin{align}
-  A =& 0 \notag \\
-  B =& 1. \notag \\
-  C =&??? \Psi(NO)= -\frac{n(NO)(z_{LB}) m_{NO} k_B T_n(z_{LBC})}
-  {p_0 e^{1/2 \Delta z} e^{-z -1/2 \Delta z}\overline{m}(z_{LBC}}
-\end{align}
-%
-with $n(NO)(z_{LB}) = 4 \cdot 10^6$. At the upward diffusive flux at
-the upper boundary is set to zero
-%
-\begin{align}
- n(N(^4S))(z_{ubc})= 0.
-\end{align}
-%
-The production rate $P$ of $NO$ is
-%
-\begin{align}
- P(NO) = & (N\overline{m})^2 \frac{\Psi(O_2)}{m_{O_2}} \left(
-    + \beta_2 \frac{\Psi(N(^2D))}{m_{N^2D}} \right) + \notag \\
-  & (N\overline{m})^3 \beta_{17}\frac{\Psi(N_2)}{m_{N_2}}
-   \frac{\Psi(N(^4S))}{m_{N^4S}}
-\end{align}
-%
-and the loss rate $L$ of $NO$ is
-%
-\begin{align}
- L(NO) = & -N\overline{m} \left[ \beta_3 \frac{\Psi(N(^4S))}{m_{N(^4S)}}
-   +  \beta_6 \frac{\Psi(N(^2D))}{m_{N(^2D)}}\right] -\frac{1}{2}
-   \left( \beta_8(z) + \beta_8(z+\Delta z)  \right) + \notag \\
-   & \frac{1}{2}
-   \left( \beta_9(z) + \beta_9(z+\Delta z)  \right) - k_9 n(O_2^+)
-   \frac{1}{2}
-   \left( \beta_{9n}(z) + \beta_{9n}(z+\Delta z)  \right)
-\end{align}
-%
+%
+\section{Calculation of Minor species $N(^2D)$,$N(^4S)$, and $NO$  \index{COMP\_N2D.F} \index{COMP\_N4S.F} \index{COMP\_NO.F}}\label{cap:comp_n}
+%
+\subsection{Calculation of $N(^2D)$}\label{subcap:comp_n2d}
+%
+The input to \src{subroutine comp\_n2d} is summarized in table
+\ref{tab:input_comp_n2d}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N(^2P)$&       $n(N(^2P))$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+conversion factor&       $N \overline{m}$              & $\#/cm^3
+g/mole$   &  midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_n2d}}
+\label{tab:input_comp_n2d}
+\end{table}
+%
+The output of \src{subroutine comp\_n2d} is summarized in table
+\ref{tab:output_comp_n2d}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline mass mixing ratio $N(^2D)$ &
+$\Psi(N(^2D))$ & $-$ & midpoints & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine comp\_n2d}}
+\label{tab:output_comp_n2d}
+\end{table}
+%
+$N(^2D)$ is assumed to be in photochemical equilibrium, such that
+the production $P(N(^2D))$ and loss rate $L(N(^2D))$ of $N(^2D)$ is
+balanced.
+%
+\begin{align}
+  n(N(^2D)) = \frac{P(N(^2D))}{L(N(^2D))}
+\end{align}
+%
+The production is due to solar EUV photodissociation of $N_2$, and
+ion and neutral chemistry
+%
+\begin{align}
+ P(N(^2D))&(z+\frac{1}{2}\Delta z) = \frac{1}{2} \left[ Q_{tef}(z) +  Q_{tef}(z+\Delta z)\right]
+   br_{N^2D} + \notag \\
+   & k_3 n(N_2^+)N \overline{m}\frac{\Psi(O)}{m_o} +
+   ( \alpha_1 n(NO^+) 0.85 + \notag \\
+   & \alpha_3 n(N_2^+) 0.9 )
+   \sqrt{Ne(z) Ne(z+\Delta z}
+\end{align}
+%
+with the branching ratio of producing $N(^2D)$ which is set to 0.6.
+The chemical reaction rates are $\alpha$ and $k$ defined in the
+\src{chemrates\_module}. The total production rate due to solar
+radiation and auroral particle precipitation is denoted by $Q_{tef}$
+which is calculated in \src{subroutine qrj}. \\
+The loss term $L(N(^2D))$ is determined by
+%
+\begin{align}
+  L(N(^2D))(z+\frac{1}{2}\Delta z) = N\overline{m} \left[ \beta_2 \frac{\Psi(O_2)}{m_{O_2}} +
+     \beta_4 \frac{\Psi(O)}{m_{O}} +  \beta_6
+     \frac{\Psi(NO)}{m_{NO}}\right]+ \notag \\
+     \; \; \; \beta_7 + \beta_5\sqrt{Ne(z) Ne(z+\Delta z)} + k_{10}n(O^+)
+\end{align}
+%
+The chemical rates $\beta$ are defined in the module
+\src{chemrates\_module}. \\
+The number density $n(N(^2D))$ is converted to the mass mixing ratio
+by
+%
+\begin{align}
+  \Psi(N(^2D) = \frac{m_{N^2D}}{N \overline{m}}\frac{P(N(^2D))}{L(N(^2D))}
+\end{align}
+%
+\subsection{Calculation of $N(^4S)$}\label{subcap:comp_n4s}
+%
+The input to \src{subroutine comp\_n4s} is summarized in table
+\ref{tab:input_comp_n4s}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N^4$&       $n(N^4)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
+mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
+conversion factor&       $N \overline{m}$              & $\#/cm^3
+g/mole$   &  midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_n4s}}
+\label{tab:input_comp_n4s}
+\end{table}
+%
+The output of \src{subroutine comp\_n4s} are the factor which define
+the lower boundary calculated in \src{subroutine minor} by solving
+$A\frac{d X}{dZ} + B X + C = 0$. Also the upward flux at the upper
+boundary is defined, and the production $P$ and loss rate $L$ of
+$N(^4S)$. These values are stored in module data of the module
+\src{comp\_n4s}. After \src{subroutine comp\_n4s} the
+\src{subroutine minor\_n4s} is called to calculate the mass mixing
+ratio of $N(^4S)$. \src{Subroutine minor\_n4s} is not described here
+since it just calls \src{subroutine minor}. For information about
+\src{subroutine minor} please see chapter \ref{cap:minor}. The input
+to \src{subroutine minor} is described in table
+\ref{tab:input_minor} and the output in table
+\ref{tab:output_minor}, subsituting the species $X$ by $N(^4S)$. \\
+
+%
+%
+$N(^4S)$ has longer life time and is therefore influenced by the
+neutral winds. \\
+The lower boundary is given by photochemical equilibrium. The
+factors $A$, $B$, and $C$ for the equation solved in \src{subroutine
+minor} $A\frac{d \Psi(N(^4S))}{dZ} + B \Psi(N(^4S)) + C = 0$ are
+%
+\begin{align}
+  A =& 0 \notag \\
+  B =& 1. \notag \\
+  C =& (N(^4S))= \frac{P(N(^4S))}{L(N(^4S))}
+\end{align}
+%
+The conversion factor from number density to mass mixing ratio $N
+\overline{m}(z_{LB})$ at the lower boundary is
+%
+\begin{align}
+ N \overline{m}(z_{LB})= p_0 e^{-z_{bot}-1/2\Delta z} e^{1/2\Delta
+ z}\frac{\overline{m}(z_{bot})}{k_B T_n(z_{bot})}
+\end{align}
+%
+The mass mixing ratio ????? or number density at the lower boundary
+is then
+%
+\begin{align}
+ C = & n(N(^4S))(z_{lbc})= \frac{m_{n(^4S)}}{N\overline{m}}[ Q_{tef}(1-br_{N^2D})
+  \frac{1}{N\overline{m}(z_{bot})} + \notag \\
+  & \frac{\Psi(N(^2D))}{m_{N^2D}}(
+  \beta_4 N \overline{m}(z_bot)\frac{\Psi(NO)}{m_o}+ \beta_5 Ne + \beta_7)
+  + \beta_8\frac{\Psi(NO)}{m_{NO}}]\notag \\
+   & \frac{1}{\beta_1
+  \frac{\Psi(O_2)}{m_{O_2}}+\beta_3\frac{\Psi(NO}{m_{NO}}+N\overline{m} \beta_{17}
+  \frac{\Psi(O)}{m(O)}\frac{\Psi(N_2)}{m_{N_2}}}
+\end{align}
+%
+At the upper boundary the upward diffusive flux  is set
+%
+\begin{align}
+ n(N(^4S))(z_{ubc})= 0.
+\end{align}
+%
+The production rate $P$ of $N(^4S)$ is
+%
+\begin{align}
+P(N(^4S))=& \frac{1}{2} (Q_{tef}(z)+Q_{tef}(z+\Delta
+z))(1-br_{N^2D})
++ \notag \\
+& N\overline{m} [\frac{\Psi(N^2D)}{m_{N^2D}}\left\{ \beta_5
+ \frac{1}{2}(Ne(z) + Ne(z+\Delta z)+\beta_7\right\} + \notag \\
+&  \frac{1}{2}(\beta_8(z) + \beta_8(z+\Delta
+ z))\frac{\Psi(NO)}{m_{NO}}]+  \notag \\
+& N\overline{m} [ k_2 n(O^+)\frac{\Psi(xN_2)}{m_{N_2}}+ k_6
+ n(N^+)\frac{\Psi(O_2)}{m_{O_2}} k_8
+ n(N^+)\frac{\Psi(O)}{m_{O}}+ \notag \\
+& \sqrt{Ne(z) \cdot Ne(z+\Delta z}
+ (\alpha_1 n(NO^+)0.15 + \alpha_3 n(N_2^+)1.1)]
+\end{align}
+%
+and the loss rate $L$ of $N(^4S)$ is
+%
+\begin{align}
+  L(N(^4S)) = & -N\overline{m} \left[ \beta_1 \frac{\Psi(O_2)}{m_{O_2}} +
+   \beta_3 \frac{\Psi(NO)}{m_{NO}} + N \overline{m} \beta_{17} \frac{\Psi(O)}{m_{O}}
+    \frac{\Psi(xN_2)}{m_{N_2}} \right] - \notag \\
+    &  k_4 n(O_2^+)
+\end{align}
+%
+%
+%
+\subsection{Calculation of $NO$}\label{subcap:comp_no}
+%
+The input to \src{subroutine comp\_no} is summarized in table
+\ref{tab:input_comp_no}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $N(^4S)$ &       $\Psi(N(^4S))$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
+mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
+conversion factor&       $N \overline{m}$              & $\#/cm^3
+g/mole$   &  midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_no}}
+\label{tab:input_comp_no}
+\end{table}
+%
+The output of \src{subroutine comp\_no} are the factors $A$, $B$,
+and $C$ which define the lower boundary condition of  $NO$ , the
+upper boundary upward diffusive flux, and the production $P$ and
+loss rate $L$ of $NO$. These values are stored in module data of the
+module \src{comp\_no}. After \src{subroutine comp\_no} the
+\src{subroutine minor\_no} is called to calculate the mass mixing
+ratio of $NO$. \src{Subroutine minor\_no} is not described here
+since it just calls \src{subroutine minor}. For information about
+\src{subroutine minor} please see chapter \ref{cap:minor}. The input
+to \src{subroutine minor} is described in table
+\ref{tab:input_minor} and the output in table
+\ref{tab:output_minor}, subsituting the species $X$ by $NO$. \\
+
+
+%
+$NO$ has longer life time and is therefore influenced by the neutral
+winds. The lower boundary is given by photochemical equilibrium. The
+factors $A$, $B$, and $C$ for the equation solved in \src{subroutine
+minor} $A\frac{d \Psi(N(^4S))}{dZ} + B \Psi(N(^4S)) + C = 0$ are
+%
+\begin{align}
+  A =& 0 \notag \\
+  B =& 1. \notag \\
+  C =&??? \Psi(NO)= -\frac{n(NO)(z_{LB}) m_{NO} k_B T_n(z_{LBC})}
+  {p_0 e^{1/2 \Delta z} e^{-z -1/2 \Delta z}\overline{m}(z_{LBC}}
+\end{align}
+%
+with $n(NO)(z_{LB}) = 4 \cdot 10^6$. At the upward diffusive flux at
+the upper boundary is set to zero
+%
+\begin{align}
+ n(N(^4S))(z_{ubc})= 0.
+\end{align}
+%
+The production rate $P$ of $NO$ is
+%
+\begin{align}
+ P(NO) = & (N\overline{m})^2 \frac{\Psi(O_2)}{m_{O_2}} \left(
+    + \beta_2 \frac{\Psi(N(^2D))}{m_{N^2D}} \right) + \notag \\
+  & (N\overline{m})^3 \beta_{17}\frac{\Psi(N_2)}{m_{N_2}}
+   \frac{\Psi(N(^4S))}{m_{N^4S}}
+\end{align}
+%
+and the loss rate $L$ of $NO$ is
+%
+\begin{align}
+ L(NO) = & -N\overline{m} \left[ \beta_3 \frac{\Psi(N(^4S))}{m_{N(^4S)}}
+   +  \beta_6 \frac{\Psi(N(^2D))}{m_{N(^2D)}}\right] -\frac{1}{2}
+   \left( \beta_8(z) + \beta_8(z+\Delta z)  \right) + \notag \\
+   & \frac{1}{2}
+   \left( \beta_9(z) + \beta_9(z+\Delta z)  \right) - k_9 n(O_2^+)
+   \frac{1}{2}
+   \left( \beta_{9n}(z) + \beta_{9n}(z+\Delta z)  \right)
+\end{align}
+%
diff --git a/doc/description/comp_o2o.tex b/doc/description/comp_o2o.tex
index 3b2436a..26fba88 100644
--- a/doc/description/comp_o2o.tex
+++ b/doc/description/comp_o2o.tex
@@ -1,793 +1,793 @@
-%
-\section{Calculation of Major species $O_2$, and $O$  \index{COMP\_O2O.F}, \index{comp.F}}\label{cap:comp_o2o}
-%
-\subsection{Calculation of source and sinks for $O_2$ and $O$}\label{subcap:comp_o2o}
-%
-The input to \src{subroutine comp\_O2O} is summarized in table
-\ref{tab:input_comp_o2o}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO$&       $n(NO)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N(^4S)$&       $n(N(^4S))$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N^+$&       $n(N^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_o2o}}
-\label{tab:input_comp_o2o}
-\end{table}
-%
-The output of \src{subroutine comp\_o2o} is summarized in table
-\ref{tab:output_comp_o2o}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline matrix coefficients for rhs? & $fs$
-& $-$ & midpoints? & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine comp\_o2o}}
-\label{tab:output_comp_o2o}
-\end{table}
-%
-The module data of \src{subroutine comp\_o2o} is summarized in table
-\ref{tab:module_comp_o2o}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&module&
-timestep
-\\ \hline \hline inverse of molecular mass $O_2$&
-$1/m_{O_2}$ & $mole/g$ & cons & $-$ \\
-inverse of molecular mass $O$& $1/m_{O}$ & $mole/g$ & cons & $-$ \\
-inverse of molecular mass $N_2$& $1/m_{N_2}$ & $mole/g$ & cons & $-$ \\
-reference pressure & $p_0$ & $???$ & cons & $-$ \\
-- & $e^z$ & $-$ & cons & $-$ \\
-Boltzman constant & $k_B$ & $-$ & cons & $-$ \\
- molecular mass $NO$& $m_{NO}$ & $g/mole$ & cons & $-$ \\
- molecular mass $N(^4S)$& $m_{N^4S}$ & $g/mole$ & cons & $-$ \\
- molecular mass $N(^2D)$& $m_{N^2D}$ & $g/mole$ & cons & $-$ \\
- molecular mass $O_2$& $m_{O_2}$ & $g/mole$ & cons & $-$ \\
- molecular mass $O$& $m_{O}$ & $g/mole$ & cons & $-$ \\
- total $O_2$ dissociation frequency& $rj$ & $1/s$ & qrj & $interface$ \\
- $O_2^+$ production rate& $Q(O_2^+)$ & $??$ & qrj & $interface$ \\
- $O^+$ production rate& $Q(O^+)$ & $??$ & qrj & $interface$ \\
- chemical reaction rates& $k_i$ & $???$ & chemrates & $-$ \\
- chemical reaction rates& $\beta_i$ & $???$ & chemrates & $-$ \\
- chemical reaction rates& $a_i$ & $???$ & chemrates & $-$ \\
- coefficient matrix & $fs$ & $???$ & chemrates & $-$
-\\ \hline \hline
-\end{tabular}
-\caption{Module data used in \src{subroutine comp\_o2o}}
-\label{tab:module_comp_o2o}
-\end{table}
-%
-The source and sink terms for the neutral composition are calculated
-in this subroutine, and stored in the coefficient matrix $fs$, which
-is module data of \src{chemrates\_module}. \\
-
-Firstly, the total dissociation frequency and the production rates
-are transferred from the interface level to the midpoint level.
-%
-\begin{align}
-  rj(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [rj(z)+ rj(z+\Delta z)] \notag \\
-  Q(O_2^+)(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [Q(O_2^+)(z)+ Q(O_2^+)(z+\Delta z)] \notag \\
-  Q(O^+)(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [Q(O^+)(z)+ Q(O^+)(z+\Delta z)]
-\end{align}
-%
-The conversion factor $N\overline{m}$ from number density to mass
-mixing ratio is evaluated at the midpoint level
-%
-\begin{align}
-  N\overline{m}(z+\frac{1}{2}\Delta z) = \frac{p_0 e^{-z-1/2\Delta z}}{k_B T_n(z+1/2\Delta
-  z)}\left( \frac{\Psi(O_2)}{m_{O_2}}+ \frac{\Psi(O)}{m_{O}}+\frac{\Psi(N_2)}{m_{N_2}}\right)
-\end{align}
-%
-with $\Psi(N_2) = 1- \Psi(O_2 )- \Psi(O)$, and
-$1/\overline{m}(z+\frac{1}{2}\Delta z) =\frac{\Psi(O_2)}{m_{O_2}}+
-\frac{\Psi(O)}{m_{O}}+\frac{\Psi(N_2)}{m_{N_2}} $. The $O_x$
-production is
-%
-\begin{align}
-  P(O_x) = & (N\overline{m})^2 \left[ \beta_3 \frac{n(N^4S)}{m_{N^4S}}\frac{n(NO)}{m_{NO}}
-     + \beta_6 \frac{n(N^2D)}{m_{N^2D}}\frac{n(NO)}{m_{NO}}\right] +
-     \notag \\
-  & \frac{1}{2}( \beta_8(z) + \beta_8(z+\Delta
-    z))\frac{n(NO)}{m_{NO}}N\overline{m}(z+\frac{1}{2}\Delta z) + \notag \\
-  & N\overline{m}(z+\frac{1}{2}\Delta z) \left[ k_4 n(O_2^+)\frac{n(N^4S)}{m_{N^4S}} +
-     k_4 n(O^+)\frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
-  & \sqrt{Ne(z)Ne(z+\Delta z)}(a_1 n(NO^+)= 2 a_2 n(O_2^+))
-\end{align}
-%
-???? what is mass mixing ratio and what number density ??? and
-%
-\begin{align}
- P(O_{x2}) = & (N\overline{m})(z+\frac{1}{2}\Delta z)\left[ \beta_1 \frac{n(N^4S)}{m_{N^4S}}
-    + \beta_2 \frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
-    & k_1 n(O^+) + k_7 n(N^+) + 2 rj(z+\frac{1}{2} \Delta z)
-\end{align}
-%
-The $O_x$ loss rates are
-%
-\begin{align}
-   L(O_{x1}) = & 2 k_{m12} N\overline{m} \frac{1}{\frac{1}{2}(\overline{m}(z) + \overline{m}(z+\Delta
-   z))} \\
-   L(O_{x2}) = & k_3 n(N_2^+) + k_8 n(N^+) \\
-   L(O_{x3}) = & Q(O^+) (z+\frac{1}{2} \Delta z)
-\end{align}
-%
-The $O_2$ production rates are
-%
-\begin{align}
-  P(O_2)_1 = & k_{m12}\frac{N\overline{m}(z+\frac{1}{2} \Delta z)}{\frac{1}{2}(\overline{m}(z) + \overline{m}(z+\Delta
-   z))} \\
-  P(O_2)_2 = & 0 \\
-  P(O_2)_3 = & k_5 \frac{n(NO}{m_{NO}}n(O_2^+)N\overline{m}(z+\frac{1}{2} \Delta z)
-\end{align}
-%
-The $O_2$ loss rates are
-%
-\begin{align}
-  L(O_2)_1 = & N\overline{m}(z+\frac{1}{2} \Delta z)\left[ \beta_1 \frac{n(N^4S)}{m_{N^4S}} +
-      \beta_2 \frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
-      & k_1 n(O^+) + (k_6 + k_7)n(N^+) + k_9 n(N_2^+) + rj \\
-  l(O_2)_2 = Q(O_2^+)(z+\frac{1}{2} \Delta z)
-\end{align}
-%
-The coefficients of the matrix $\mathbf(fs)$ are then
-%
-\begin{align}
-  fs_{11} = & - L(O_2) \\
-  fs_{12} = & N\overline{m}(z+\frac{1}{2} \Delta z) P(O_2)_1
-        \frac{\Psi(O)}{m_O}\frac{m_{O_2}}{m_O} \\
-  fs_{21} = & P(O_x)_2 \frac{m_O}{}m_{O_2} \\
-  fs_{22} = & -L(O_x)_2 - L(O_x)_1\frac{\Psi(O)}{m_O}N\overline{m}(z+\frac{1}{2} \Delta
-         z)\\
-  fs_{10} = & ( P(O_2)_3 - L(O_2)_2) \frac{m_{O_2}}{N\overline{m}} \\
-  fs_{20} = & ( P(O_x)_1 - L(O_x)_3) \frac{m_{O}}{N\overline{m}} \\
-\end{align}
-%
-%
-\subsection{Calculation of major species  $O_2$ and $O$}\label{subcap:comp}
-%
-The input to \src{subroutine comp} is summarized in table
-\ref{tab:input_comp}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n-\Delta t$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n- \Delta t$\\
-neutral temperature &        $T_n$              & $K$   &  midpoints & $t_n$\\
-neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity &       $v_n$              & $cm/s$   &  midpoints & $t_n$\\
-neutral "vertical" velocity &       $W$              & $1/s$   &  interfaces & $t_n$\\
-horizontal diffusion of $O_2$ &       $h_a(O_2)$              & $??$   &  midpoints ??? & $t_n$\\
-horizontal diffusion of $O$ &       $h_d(O)$              & $??$ &
-midpoints ??? & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp}}
-\label{tab:input_comp}
-\end{table}
-%
-The output of \src{subroutine comp} is summarized in table
-\ref{tab:output_comp}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-updated mass mixing ratio $O_2$ &       $\Psi(O_2)^{upd}$              & $-$   &  midpoints & $t_n$\\
-updated mass mixing ratio $O$ &         $\Psi(O  )^{upd}$              & $-$   &  midpoints & $t_n$\\
-updated mass mixing ratio $O_2$ &       $\Psi(O_2)^{upd}$              & $-$   &  midpoints & $t_n+\Delta t$\\
-updated mass mixing ratio $O$ &         $\Psi(O  )^{upd}$ & $-$   &
-midpoints & $t_n+ \Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine comp}}
-\label{tab:output_comp}
-\end{table}
-%
-The module data of \src{subroutine comp} is summarized in table
-\ref{tab:module_comp}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&module&
-timestep
-\\ \hline \hline inverse of molecular mass $O_2$&
-$1/m_{O_2}$ & $mole/g$ & cons & $-$ \\
-inverse of molecular mass $O$& $1/m_{O}$ & $mole/g$ & cons & $-$ \\
-inverse of molecular mass $N_2$& $1/m_{N_2}$ & $mole/g$ & cons & $-$ \\
-- & $e^{-z-\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
-- & $e^{-\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
-- & $e^{\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
- molecular mass $O_2$& $m_{O_2}$ & $g/mole$ & cons & $-$ \\
- molecular mass $O$& $m_{O}$ & $g/mole$ & cons & $-$ \\
- & $\Pi$ & $-$ & cons & $-$ \\
- & $\frac{1}{2\Delta t}$ & $$ & cons & $-$ \\
-smoothing factor & $f_{smo}=0.95$ & $$ & cons & $-$ \\
- & $\frac{1}{2}(1-0.95)$ & $$ & cons & $-$ \\
-background eddy diffusion & $d_k$ & $$ & cons & $-$ \\
-wave filtering & $k_{ut5}$ & $$ & cons & $-$ \\
-matrix coefficients with source and sinks & $\mathbf{fs}$ & $$ &
-chemrates & $-$
-\\ \hline \hline
-\end{tabular}
-\caption{Module data used in \src{subroutine comp}}
-\label{tab:module_comp}
-\end{table}
-%
-The calculation of the composition is explained in
-\cite{dickinson1984}
-% Dickinson, R.E., Ridley, E.C., Roble, R.G.:
-% Thermospheric General Circulation with Coupled Dynamics and Composition
-% Journal of the atmospheric sciences, Vol 41, No. 2,pp 205-219
-The major neutral constituents of the thermosphere are $O_2$, $O$,
-and $N_2$. The mass mixing ratio of these are
-%
-\begin{align}
- \Psi_i = n_i m_i \left( \sum_{j=1}^3 n_j m_j \right)^{-1}
-\end{align}
-%
-with $n_i$ the number density of the $i th$ species, with $i=1,2,
-\text{and} 3$ corresponding to $O_2$, $O$, and $N_2$. The molecular
-mass of the $i th$ species is $m_i$. The vector of mass mixing
-ratios is defined by
-%
-\begin{align}
- \mathbf{\Psi} = \left(
-                    \begin{array}{c}
-                      \Psi_{O_2} \\
-                      \Psi_O \\
-                    \end{array}
-                  \right)
-\end{align}
-%
-The $N_2$ mass mixing ratio is determined by
-%
-\begin{align}
- \Psi_{N_2} = 1 - \Psi_{O_2}-\Psi_O
-\end{align}
-%
-The coupled vector equation for the mass mixing ratio vector
-\cite{dickinson1984}
-%
-\begin{align}
- \frac{\partial}{\partial t}\mathbf{\Psi} & = -e^z \tau^{-1}\frac{\partial}{\partial z}
- \left[ \frac{\overline{m}}{m_{N_2}\left(\frac{T_{00}}{T_n}\right)^{0.25}}
- \mathbf{\alpha}^{-1} \mathbf{L} \mathbf{\Psi}\right] + \notag \\
- & e^z \frac{\partial}{\partial z} \left( K(z)e^{-z}\frac{\partial}{\partial z}\mathbf{\Psi}\right)
- - \notag \\
- & \left( \mathbf{v}_n \cdot \nabla \mathbf{\Psi} +
- W \frac{\partial}{\partial z} \mathbf{\Psi}\right)+ \mathbf{S} -
- \mathbf{R}
-\end{align}
-%
-with time $t$, the vertical coordinate $z= ln(p_0/p)$, the pressure
-$p$ and $p_0$ the reference pressure. The diffusion time scale is
-$\tau = (p_0 H_0/ p_{00}D_0) = 1.86 10^3 s$, with $H_0$ the
-characteristic molecular nitrogen scale height at $T_{00}=273 K$,
-$p_{00}= 10^5 Pa$, the characteristic diffusion coefficient at
-$p_{00}$ and temperature $T_{00}$ is $D_0 = 2 10^{-5} m^2/s$. The
-mean molecular mass is $\overline{m}$, the molecular mass of each
-species is $m_i$. The horizontal neutral velocity is $\mathbf{v}_n$,
-and the "vertical" velocity is $W=\frac{dz}{dt}$. $K(z)$ is the eddy
-diffusion coefficient, the effective mass source is $\mathbf{S}$,
-and the removal rate is $\mathbf{R}$. \\
-The matrix $\mathbf{\alpha}$ varies as the inverse of the diffusion
-coefficients according to
-%
-\begin{align}
-  \alpha_{11} = & -[\phi_{13}+(\phi_{12}-\phi_{13})\Phi_{2}] \notag \\
-  \alpha_{22} = & -[\phi_{23}+(\phi_{21}-\phi_{23})\Phi_{1}] \notag \\
-  \alpha_{12} = &  (\phi_{12}-\phi_{13})\Phi_{1} \notag \\
-  \alpha_{21} = &  (\phi_{12}-\phi_{13})\Phi_{2} \label{eq:comp_phi_ij}
-\end{align}
-%
-where $i=1, 2, \text{and} 3$ denotes $O_2$, $O$, and $N_2$
-respectively. The value $\phi_{ij}$ is determined by
-%
-\begin{align}
-  \phi_{ij} = \frac{D}{D_{ij}}\frac{m_3}{m_j}
-\end{align}
-%
-with $D_{ij}$ is the mutual diffusion coefficient for gases $i$ and
-$j$ with $D_{12}$, $D_{13}$, $D_{23}$, and $D_0$ being $0.26, \;
-0.18, \; 0.26$ \cite{colegrove1966}, and $0.2 \times 10^{-4} m^2/s$,
-respectively.
-% colegrove, F.D. 1966: Atmospheric composition in the lower thermosphere.
-% J. Geophys. Res. 71, 2227-2236.
-%
-$D$ is the characteristic diffusion coefficient, which has the same
-temperature and pressure dependence as $D_{ij}$
-%
-\begin{align}
-  D = D_0 \frac{P_{00}}{P}\left(\frac{P}{T_{00}} \right)^{1.75}
-\end{align}
-%
-The matrix operator $\mathbf{L}$ is diagonal with elements
-%
-\begin{align}
-  \mathbf{L}= \delta_{ij}\left( \frac{\delta}{\delta z} - \epsilon_{ii}\right)
-\end{align}
-%
-and
-%
-\begin{align}
-  \epsilon_{ii} = 1-\frac{m_i}{\overline{m}}-
-  \frac{1}{\overline{m}}\frac{\partial}{\partial z}
-\end{align}
-%
-The matrix $\mathbf{L}$ defines diffusive equilibrium through
-$\mathbf{L}\mathbf{\Phi} = 0$. at the upper boundary diffusive
-equilibrium is assumed, so that $\mathbf{L}\mathbf{\Phi} = 0$. At
-the lower boundary the atomic oxygen concentration $n(O) $ peaks,
-which was observed, and therefore it is assumed $\partial
-n(O)/\partial z = 0$. Together with the the conservation of total
-oxygen atoms, this assumption leads to the following condition at
-the lower boundary
-%
-\begin{align}
-   \frac{\partial}{\partial z}\Psi_2 & = \Psi_2 \notag \\
-   \Psi_1 + \Psi_2 & = constant
-\end{align}
-%
-
-In the source code in \src{comp.F} first the values $\phi_{ij}$ from
-equation (\ref{eq:comp_phi_ij}) are set
-%
-\begin{align}
-  \phi_{21} = & \frac{0.2}{0.26}\frac{28}{32} = & 0.673 \notag \\
-  \phi_{12} = & \frac{0.2}{0.26}\frac{28}{10} = & 1.35  \notag \\
-  \phi_{13} = & \frac{0.2}{0.18}\frac{28}{28} = & 1.11  \notag \\
-  \phi_{23} = & \frac{0.2}{0.26}\frac{28}{28} = & 0.769
-\end{align}
-%
-The diffusive time scale $\tau$ is set to $1.86 \times 10^3 s$, and
-the standard temperature $T_{00}= 273 K$. A $\mathbf{\delta}$ matrix
-is set up as the identity matrix
-%
-\begin{align}
- \mathbf{\delta} = \left(
-   \begin{array}{cc}
-    1 & 0 \\
-    0 & 1 \\
-  \end{array}
- \right)
-\end{align}
-%
-The horizontal advection term $\mathbf{v}_n \cdot \nabla
-\mathbf{\Psi}$ is determined in the \src{subroutine advecl} which is
-part of the file \src{comp.F}. The input to the \src{subroutine
-advecl} is the mass mixing ratios $\Psi(O_2)^{t_n}$ and
-$\Psi(O)^{t_n}$, as well as the horizontal neutral velocities $u_n$
-and $v_n$.
-%
-\begin{align}
- & \mathbf{v}_n \cdot \Psi_i  = \frac{1}{2} \frac{1}{R_e \cos \lambda}
-  [ \frac{2}{3 \Delta \phi} \left( \Psi_i(\phi + \Delta \phi, \lambda) -
-   \Psi_i(\phi - \Delta \phi, \lambda) \right) \notag \\
-   & \left( u_n(\phi + \Delta \phi, \lambda)
-   +  u_n(\phi - \Delta \phi, \lambda)\right) - \notag \\
-   & \frac{1}{12 \Delta \phi} \left( \Psi_i(\phi + 2\Delta \phi, \lambda) -
-   \Psi_i(\phi - 2\Delta \phi, \lambda) \right) \left( u_n(\phi + 2\Delta \phi, \lambda)
-   +  u_n(\phi - 2\Delta \phi, \lambda)\right)] + \notag \\
-   & \frac{1}{2}\frac{1}{R_e}
-  [ \frac{2}{3 \Delta \lambda} \left( \Psi_i(\phi, \lambda+ \Delta \lambda) -
-   \Psi_i(\phi , \lambda-\Delta \lambda) \right) \left( v_n(\phi , \lambda+\Delta \lambda)
-   +  v_n(\phi , \lambda-\Delta \lambda)\right) - \notag \\
-   & \frac{1}{12 \Delta \lambda} \left( \Psi_i(\phi , \lambda+2\Delta \lambda) -
-   \Psi_i(\phi , \lambda-2\Delta \lambda) \right) \left( v_n(\phi , \lambda\Delta \lambda)
-   +  v_n(\phi , \lambda-2 \Delta \lambda)\right)]
-\end{align}
-%
-for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
-mass mixing ratios at timestep $t_n - \Delta t$ are smoothed with a
-two part Shapiro smoother. The smoothing in latitude is
-%
-\begin{align}
-  \Psi_i^{t-\Delta t, \lambda_s}& = \Psi_i^{t-\Delta t} - 0.03 \{\Psi_i^{t-\Delta t}(\phi,\lambda +
-  2 \Delta \lambda) + \Psi_i^{t-\Delta t}(\phi,\lambda -
-  2 \Delta \lambda) - \notag \\
-  & 4 [\Psi_i^{t-\Delta t}(\phi,\lambda +
-   \Delta \lambda)+ \Psi_i^{t-\Delta t}(\phi,\lambda - \Delta \lambda)+
-   6\Psi_i^{t-\Delta t}(\phi,\lambda)]\}
-\end{align}
-%
-and afterwards a zonal smoothing is applied
-%
-\begin{align}
-  \Psi_i^{t-\Delta t, smo}& = \Psi_i^{t-\Delta t, \lambda_s} - 0.03
-  \{\Psi_i^{t-\Delta t, \lambda_s}(\phi+ 2\Delta \phi,\lambda +
-  ) + \Psi_i^{t-\Delta t, \lambda_s}(\phi- 2\Delta \phi,\lambda ) - \notag \\
-  & 4 [\Psi_i^{t-\Delta t, \lambda_s}(\phi+ \Delta \phi,\lambda )+
-  \Psi_i^{t-\Delta t, \lambda_s}(\phi-\Delta \phi,\lambda )+
-   6\Psi_i^{t-\Delta t, \lambda_s}(\phi,\lambda)]\}
-\end{align}
-%
-for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
-horizontal diffusion factor is set by
-%
-\begin{align}
-  |\lambda| & > 40^o    & \qquad d_{fac} = & 0.25 + 1.0 \notag \\
-  |\lambda| & \leq 40^o & \qquad d_{fac} = & 0.25 + \frac{1}{2}
-        \left( 1+\sin(\frac{\Pi (|\lambda| - 20^o)}{40^o})\right)
-\end{align}
-%
-If the input flag $DIFHOR$ is set to zero, in the input file then
-$d_{fac} = 0$. The mean molecular mass $\overline{m}$ is calculated
-at the midpoint level
-%
-\begin{align}
- \overline{m} (z+\frac{1}{2}\Delta z) = \left( \frac{\Psi(O_2)}{m_{O_2}} +
-    \frac{\Psi(O)}{m_{O}}+ \frac{\Psi(N_2)}{m_{N_2}} \right)^{-1}
-\end{align}
-%
-with $\Psi(N_2) = 1 - \Psi(O_2) - \Psi(O)$. Note that the mass
-mixing ratios are also on the midpoint levels. \\
-
-The lower boundary values for the mass mixing ratios are set by
-%
-\begin{align}
-  \Psi_i(z_{LB}) = b(i,1) \Psi(O_2)(z_{LB}+\frac{1}{2}\Delta z) +
-   b(i,2) \Psi(O)(z_{LB}+\frac{1}{2}\Delta z) + f_b(i)
-\end{align}
-%
-for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
-values $b(i,1)$, $b(i,2)$ and $f_b(i)$ are set in the
-\src{boundary\_module}. With the mass mixing ratios at the lower
-boundary the mean molecular mass can be determined at the lower
-boundary
-%
-\begin{align}
- \overline{m} (z_{LB}) = \left( \sum_{i=1}^3 \frac{\Psi_i}{m_i}(z_{LB})  \right)^{-1}
-\end{align}
-%
-for $i = 1, 2 \text{and} 3$ which corresponds to $O_2$, $O$ and
-$N_2$, respectively. The term $\frac{1}{\overline{m}}\frac{\partial
-\overline{m}}{\partial z}$ at the bottom is determined
-%
-\begin{align}
-   wk_4  = \frac{1}{\overline{m}(z_{LB}) +\overline{m}(z_{LB}+\frac{1}{2}\Delta z) }
-      \frac{\overline{m}(z_{LB}+\frac{1}{2}\Delta z) +\overline{m}(z_{LB})}{\Delta z}
-\end{align}
-%
-???? where is the factor of 1/2 and 1/2 in $wk_4$ which level. Is
-the LB below the LB level???????. The $epsilon $terms $1-
-\frac{1}{\overline{m}}[{m_i} + \frac{\partial \overline{m}}{\partial
-z}]$ are
-%
-\begin{align}
-   \epsilon_{i}(k_m) = 1- \frac{2}{\overline{m}(z_{LB}) +
-       \overline{m}(z_{LB}+\frac{1}{2}\Delta z)}[{m_i} +
-     \frac{\overline{m}(z_{LB}+\frac{1}{2}\Delta z) -
-      \overline{m}(z_{LB})}{\Delta z}]
-\end{align}
-%
-for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively, and
-$k_m = 2$. The value
-%
-\begin{align}
-  zz_{1}(k_m) = zz_{1}(k_m) = 0
-\end{align}
-%
-??? how does the algorithm goes????. Next the matrix
-$\mathbf{\alpha}$ at the height level $z+0.25\Delta z$ is determined
-%
-\begin{align}
-   \alpha^*_{1,1}(k_m) = & \alpha_{22} = -\Delta_{11}[\phi_{2,3}+\{\phi_{2,1}-\phi_{2,3}\} \notag \\
-                         & \frac{1}{2} \{ \Psi_1(z_{LB}) + \Psi_1(z_{LB}+\frac{1}{2}\Delta
-                         z)\}] \\
-   \alpha^*_{1,2}(k_m) = & -\alpha_{12} = [1-\Delta_{12}][\phi_{1,2}- \phi_{1,3}] \notag \\
-                         & \frac{1}{2} \{ \Psi_1(z_{LB}) + \Psi_1(z_{LB}+\frac{1}{2}\Delta
-                         z)\}] \\
-   \alpha^*_{2,2}(k_m) = & \alpha_{11} = -\Delta_{22}[\phi_{1,3}+\{\phi_{1,2}-\phi_{1,3}\} \notag \\
-                         & \frac{1}{2} \{ \Psi_2(z_{LB}) + \Psi_2(z_{LB}+\frac{1}{2}\Delta
-                         z)\}]\\
-   \alpha^*_{2,1}(k_m) = & -\alpha_{21} = [1-\Delta_{22}][\phi_{2,2}- \phi_{2,3}] \notag \\
-                         & \frac{1}{2} \{ \Psi_2(z_{LB}) + \Psi_2(z_{LB}+\frac{1}{2}\Delta z)\}]
-\end{align}
-%
-Note, that the indices in the source code already take into account
-the inverse of the matrix with $\mathbf{\alpha}^{-1} =
-\mathbf{\alpha}^*/det|\mathbf{\alpha}| $, and therefore the diagonal
-values are switches and the off-diagonal terms have an minus sign.
-The determinant $det|\mathbf{\alpha}|$ is the same as
-$det|\mathbf{\alpha}^*(k_m)|=
-\alpha^*_{1,1}(k_m)\alpha^*_{2,2}(k_m)-\alpha^*_{1,2}(k_m)\alpha^*_{2,1}(k_m)$.
-The matrix $\mathbf{\alpha}^{*}$ is multiplied by the factor
-$\frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
-\frac{T_{00}}{T_n}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*|}$
-%
-\begin{align}
-   wk_1 = \frac{1}{\tau}\frac{1}{2} [\overline{m}(z_{LB}+ \overline{m}(z_{LB}+\frac{1}{2}\Delta z)]
-   \frac{1}{m_{N_2}}\left(
-\frac{T_{00}}{T_n(z_{LB})}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*(k_m)|}
-\end{align}
-%
- which lead to the quantity defined as $A = \frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
-\frac{T_{00}}{T_n}\right)^{0.25}\mathbf{\alpha}^{-1}$. The value
-$\gamma$ at the bottom are set to
-%
-\begin{align}
-  \gamma_{ij}(k=1) = 0.
-\end{align}
-%
-for $i = 1, 2$ and $j+ 1, 2$, which corresponds to $O_2$ and $O$,
-respectively. \\
-
-After setting all the values at the bottom of the model, the height
-loops starts from the bottom to the top of the model ($k=1/ z=
--6.75$ to $k = nlev-1 / z= 6.75$). The $epsilon $terms $1-
-\frac{1}{\overline{m}}[{m_i} + \frac{\partial \overline{m}}{\partial
-z}]$ are set at $z$ by
-%
-\begin{align}
-   \epsilon_{i}(k_p) = 1- \frac{2}{\overline{m}(z- \frac{1}{2} \Delta z) +
-       \overline{m}(z+\frac{1}{2}\Delta z)}[{m_i} +
-     \frac{\overline{m}(z+\frac{1}{2}\Delta z) -
-      \overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z}]
-\end{align}
-%
-for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively, and
-$k_p = 1$. Note that before the value $\epsilon_{i}(k_m)$ was
-determined, with $k_m = 2$. The values of $k_m$ and $k_p$ are
-alternating between $1$ and $2$ to get the values at the previous
-height level $k_m= k-1$, and the height level $k_p = k+1$. The
-$\mathbf{\alpha}$ is determined at $k_p / z$ by
-%
-\begin{align}
-   \alpha^*_{1,1}(k_p) = & \alpha_{22} = -\Delta_{11}[\phi_{2,3}+\{\phi_{2,1}-\phi_{2,3}\} \notag \\
-                         & \frac{1}{2} \{ \Psi_1(z-\frac{1}{2}\Delta z) + \Psi_1(z+\frac{1}{2}\Delta
-                         z)\}] \\
-   \alpha^*_{1,2}(k_p) = & -\alpha_{12} = [1-\Delta_{12}][\phi_{1,2}- \phi_{1,3}] \notag \\
-                         & \frac{1}{2} \{ \Psi_1(z-\frac{1}{2}\Delta z) + \Psi_1(z+\frac{1}{2}\Delta
-                         z)\}] \\
-   \alpha^*_{2,2}(k_p) = & \alpha_{11} = -\Delta_{22}[\phi_{1,3}+\{\phi_{1,2}-\phi_{1,3}\} \notag \\
-                         & \frac{1}{2} \{ \Psi_2(z-\frac{1}{2}\Delta z) + \Psi_2(z+\frac{1}{2}\Delta
-                         z)\}] \\
-   \alpha^*_{2,1}(k_p) = & -\alpha_{21} = [1-\Delta_{22}][\phi_{2,2}- \phi_{2,3}] \notag \\
-                         & \frac{1}{2} \{ \Psi_2(z-\frac{1}{2}\Delta z) + \Psi_2(z+\frac{1}{2}\Delta z)\}]
-\end{align}
-%
-The matrix $\mathbf{\alpha}^{*}$ is multiplied by the factor
-$\frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
-\frac{T_{00}}{T_n}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*|}$
-%
-\begin{align}
-   wk_1 = \frac{1}{\tau}\frac{1}{2} [\overline{m}(z- \frac{1}{2}\Delta )\overline{m}(z+\frac{1}{2}\Delta z)]
-   \frac{1}{m_{N_2}}\left(
-\frac{T_{00}}{T_n(z)}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*(k_p)|}
-\end{align}
-%
- which lead to the quantity defined as $A = \frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
-\frac{T_{00}}{T_n}\right)^{0.25}\mathbf{\alpha}^{-1}$. The term
-$\frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial z}$ at
-is determined, but first the value  $wk_4$ which holds the value for
-$k_p / z$ is copied into $wk_3$ which holds the value for $k_m /
-z-\Delta z$.
-%
-\begin{align}
-   wk_4  = \frac{1}{\overline{m}(z-\frac{1}{2}\Delta z) +\overline{m}(z+\frac{1}{2}\Delta z) }
-      \frac{\overline{m}(z+\frac{1}{2}\Delta z) +\overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z}
-\end{align}
-%
-???? where is the factor of 1/2 and 1/2 in $wk_4$ which level.
-???????. \\
-
-The discretizied equation can be written as
-%
-\begin{align}
-  \mathbf{P}_k \mathbf{\Psi}_{k-1}^{t_n+ \Delta t} +
-  \mathbf{Q}_k \mathbf{\Psi}_{k}^{t_n+ \Delta t} +
-  \mathbf{R}_k \mathbf{\Psi}_{k+1}^{t_n+ \Delta t} = \mathbf{f}_k
-\end{align}
-%
-with
-%
-\begin{align}
-  P_k = & \frac{A(k_m)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_m)}{2} \right)
-  - \frac{e^{-z} K(k_m)}{\Delta^2 z} - \frac{e^{-z} W(k)}{2 \Delta
-  z} \\
-  R_k = & \frac{A(k_p)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)}{2} \right)
-  - \frac{e^{-z} K(k_p)}{\Delta^2 z} + \frac{e^{-z} W(k)}{2 \Delta
-  z} \\
-  Q_k =&  - [\frac{A(k_m)}{\Delta z} \left(\frac{1}{\Delta z} - \frac{\epsilon(k_m)}{2} \right)  \\
-    & \frac{A(k_p)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)}{2} \right)
-  - \frac{e^{-z} K(k_m)}{\Delta^2 z}- \frac{e^{-z} K(k_p)}{\Delta^2 z} + JSe^{-z} -
-   \frac{e^{-z}}{2 \Delta t} ] \notag \\
-   f_k = & e^{-z}[ \frac{\Psi^{t_n-\Delta t}(k)}{2 \Delta t} - \mathbf{v}_n \cdot \nabla \Psi^{t_n}(k)]
-\end{align}
-%
-In the source code the values are
-%
-\begin{align}
-  P_k(i,j) = & [{A(k_m)(i,j)}
-   \left(\frac{1}{\Delta z} + \frac{\epsilon(k_m)(j)}{2} \right)
-      \notag \\
-  & - e^{-(z+\frac{1}{2}\Delta z)}( e^{\frac{1}{2}\Delta z}K(k???z-\frac{1}{2}\Delta z)d_{fac}
-    (\frac{1}{\Delta z}-wk_3) + \notag \\
-  & 0.25 (W(z)+W(z+\Delta z))) \Delta(i,j)] \frac{1}{\Delta z}
-\end{align}
-%
-\begin{align}
-  R_k(i,j) = & [A(k_p)(i,j)
-   \left(\frac{1}{\Delta z} - \frac{\epsilon(k_p)(j)}{2} \right)
-      \notag \\
-  & - e^{-(z+\frac{1}{2}\Delta z)}( e^{-\frac{1}{2}\Delta z}K(k+1/z+\frac{1}{2}\Delta z)d_{fac}
-  (\frac{1}{\Delta z}+wk_4) -  \notag \\
-  &  0.25 (W(z)+W(z+\Delta z))) \Delta(i,j)] \frac{1}{\Delta z}
-\end{align}
-%
-\begin{align}
-  Q_k(i,j) = & - \frac{1}{\Delta z}[A(k_m)(i,j)
-   \left(\frac{1}{\Delta z} - \frac{\epsilon(k_m)(j)}{2} \right) +
-   A(k_p)(i,j)
-   \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)(j)}{2} \right)
-      \notag \\
-  & + e^{-(z+\frac{1}{2}\Delta z)}( \{e^{\frac{1}{2}\Delta z}K(k+1/z+\frac{1}{2}\Delta z)
-  (\frac{1}{\Delta z}-wk_4) -  \notag \\
-  & e^{-\frac{1}{2}\Delta z}K(k/z-\frac{1}{2}\Delta z)
-  (\frac{1}{\Delta z}+wk_3) \}\frac{d_{fac}}{\Delta z} + \frac{1}{2\Delta t}\notag \\
-  &) \Delta(i,j) - fs(i,j)]
-\end{align}
-%
-The right hand side is assembled in the following
-%
-\begin{align}
-  f_k(i) =e^{-(z+\frac{1}{2}\Delta z)}[ \frac{\Psi_i^{t_n-\Delta t,smo}}{2 \Delta t}
-     -\mathbf{v}_n\cdot \nabla \Psi_i + f_{s,0}(i) + h_{d,i}]
-\end{align}
-%
-for $i = 1,2$ corresponding to $O_2$ and $O$, respectively. \\
-
-At the lower boundary the coefficients are adjusted ??? what's the
-condition there???
-%
-%
-\begin{align}
- Q_k^*(i,j)(z_{bot}) = Q_k(i,j)(z_{bot}) +P_k(i,1)(z_{bot})b(1,j) +
-      P_k(i,2)(z_{bot})b(2,j)
-\end{align}
-%
-with $z_{bot} = -6.75$ or $z_{bot} = z_{LB}+ \frac{1}{2}\Delta z$,
-and $i = 1, 2$ and $j=1, 2$ corresponding to $O_2$ and $O$,
-respectively. The updated right hand side is
-%
-\begin{align}
- f_k^*(i)(z_{bot}) = f_k(i)(z_{bot}) -P_k(i,1)(z_{bot})fb(1) -
-      P_k(i,2)(z_{bot})fb(2)
-\end{align}
-%
-with $i = 1, 2$ corresponding to $O_2$ and $O$, respectively. \\
-
-At the upper boundary we set $\frac{\partial}{\partial z}
-\mathbf{\Psi} = \epsilon \mathbf{\Psi}$ which leads to
-%
-\begin{align}
- \frac{\Psi(k+1) - \Psi(k)}{\Delta z} = \frac{\epsilon(z+\frac{1}{2}\Delta z)}{2}
- (\Psi(k+1)+\Psi(k)))
-\end{align}
-%
-with $k= nlev1-1$ and $k+1=nlev$ corresponding to
-$z_{ub}-\frac{3}{2}\Delta z=6.25$ and $z_{ub}-\frac{1}{2}\Delta
-z=6.75$, respectively. The coefficient equation looks like
-%
-\begin{align}
-  P_k \Psi(k-1) + [Q_k + R_k \frac{1 + 0.5 \epsilon(k+1/2) \Delta z}
-  {1 - 0.5 \epsilon(k+1/2) \Delta z}]\Psi(k) = f_k
-\end{align}
-%
-??? make matrix out of the equation????
-%
-%
-\begin{align}
- Q_k^*(i,j)(z_{ub}-\frac{3}{2}\Delta z) & = Q_k(i,j)(z_{ub}-\frac{3}{2}\Delta z)
- + \notag \\
-   & \frac{1 + 0.5 \epsilon(k+1/2) \Delta z}{1 - 0.5 \epsilon(k+1/2) \Delta
-   z} R_k(i,j)(z_{ub}-\frac{3}{2}\Delta z) \\
-  R_k^*(i,j)(z_{ub}-\frac{3}{2}\Delta z) & = 0
-\end{align}
-%
-with $i = 1, 2$ and $j=1, 2$ corresponding to $O_2$ and $O$,
-respectively.
-%
-For solving the equation the following values are needed ??? is this
-Newton iteration??? How does it work????
-%
-\begin{align}
-  Q_k'(i,j) = & Q_k(i,j) - P_k(i,1)*\gamma(1,j)(k)-
-     P_k(i,2)*\gamma(2,j)(k) \\
-  wk_1    = & det|Q_k'| \\
-  wk_{m1}(1,j) = & \frac{1}{wk_1} [\Delta(1,j)Q_k(2,2) - (1-\Delta(1,j))Q_k(1,j)] \\
-  wk_{m1}(2,j) = & \frac{1}{wk_1} [\Delta(2,j)Q_k(1,1) - (1-\Delta(2,j))Q_k(2,j)] \\
-  wk_{v1}(i) = & f_k(i) - \sum_{j=1}^2 P_k(i,j)zz(k)(j) \\
-  \gamma(k+1)(1,j) = & \sum_{m=1}^2 wk_{m1}(1,m) R_k(m,j)\\
-  \gamma(k+1)(2,j) = & \sum_{m=1}^2 wk_{m1}(2,m) R_k(m,j) \\
-  zz(k+1)(i) = &  \sum_{m=1}^2 wk_{m1}(i,m) wk_{v1}(m)
-\end{align}
-%
-Hereby end the height loop from the bottom to the top of the model.
-The values at the top ($k=nlev+1$ or $z_{UB}+\frac{1}{2}\Delta z =
-7.25$) are set
-%
-\begin{align}
-   \Psi_i^{t_n+\Delta t}(z_{UB}+\frac{1}{2}\Delta z) = 0
-\end{align}
-%
-with $i = 1, 2$ corresponding to $O_2$ and $O$, respectively. The
-updated value is
-%
-%
-\begin{align}
-  upd_i(z_{UB}+\frac{1}{2}\Delta z)  = 0
-\end{align}
-%
-Then the downward sweep begins
-%
-\begin{align}
-   upd_i(k)  = & zz(k+1)(i) \\
-   upd_i(k)  = & upd_i(k) - \sum_{j=1}^2 \gamma(k+1)(i,j)upd_j(k+1) \\
-   \Psi_i^{t_n+\Delta t}(k) = & upd_i(k)
-\end{align}
-%
-with $k$ and $k+1$ corresponding to $z-\frac{1}{2}\Delta z$ and
-$z+\frac{1}{2}\Delta z$, respectively, and with $i = 1, 2$ and $j=1,
-2$ corresponding to $O_2$ and $O$, respectively. \\
-
-The upper boundary is set by
-%
-\begin{align}
-  \Psi_i^{t_n+\Delta t}(lev1) = \frac{1 + 0.5 \epsilon_i(k_p) \Delta z}
-      {1 - 0.5 \epsilon_i(k_p) \Delta z}\Psi_i^{t_n+\Delta t}(lev1-1)
-\end{align}
-%
-with $i = 1, 2$ and corresponding to $O_2$ and $O$, respectively. \\
-%
-The calculated values for the mass mixing ratio $\Psi_i^{upd, t +
-\Delta t}$ are smoothed by a Fast Fourier transformation. All the
-wave numbers larger than a predefined value at each latitude are
-removed. The wave numbers are defined in the module \src{cons.F}.
-The values of the mass mixing ratio at the timestep $t_n$ are also
-updated by using
-%
-\begin{align}
-  \Psi_i^{upd,t_n} = \frac{1}{2}({1-c_{smo}})(\Psi_i^{t_n-\Delta t}+
-     \Psi_{i,{smo}}^{upd,t_n+\Delta t}) + c_{smo}\Psi_i^{t_n}
-\end{align}
-%
-with $c_{smo} = 0.95$, and $i = 1, 2$ and corresponding to $O_2$ and
-$O$, respectively. Non negative values are assured by
-%
-\begin{align}
-  \Psi_i^{upd,t_n} < & 1 \times 10^{-6} &  \quad & \Psi_i^{upd,t_n} = 1 \times
-  10^{-6} \\
-  \Psi_i^{upd,t_n+\Delta t} < & 1 \times 10^{-6} & \quad &\Psi_i^{upd,t_n+\Delta t} = 1 \times
-  10^{-6} \\
-  1-\sum_{i=1}^2 \Psi_i^{upd,t_n+\Delta t} < & 1 \times 10^{-6} &  \quad &
-          \Psi_i^{upd,t_n+\Delta t} =
-          \Psi_i^{upd,t_n+\Delta t}\frac{1-10^{-6}}{\sum_{i=1}^2 \Psi_i^{upd,t_n+\Delta t}} \\
-  1-\sum_{i=1}^2 \Psi_i^{upd,t_n} < & 1 \times 10^{-6} &  \quad &
-          \Psi_i^{upd,t_n} =
-          \Psi_i^{upd,t_n}\frac{1-10^{-6}}{\sum_{i=1}^2 \Psi_i^{upd,t_n}}
-\end{align}
-%
+%
+\section{Calculation of Major species $O_2$, and $O$  \index{COMP\_O2O.F}, \index{comp.F}}\label{cap:comp_o2o}
+%
+\subsection{Calculation of source and sinks for $O_2$ and $O$}\label{subcap:comp_o2o}
+%
+The input to \src{subroutine comp\_O2O} is summarized in table
+\ref{tab:input_comp_o2o}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO$&       $n(NO)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N(^4S)$&       $n(N(^4S))$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N^+$&       $n(N^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_o2o}}
+\label{tab:input_comp_o2o}
+\end{table}
+%
+The output of \src{subroutine comp\_o2o} is summarized in table
+\ref{tab:output_comp_o2o}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline matrix coefficients for rhs? & $fs$
+& $-$ & midpoints? & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine comp\_o2o}}
+\label{tab:output_comp_o2o}
+\end{table}
+%
+The module data of \src{subroutine comp\_o2o} is summarized in table
+\ref{tab:module_comp_o2o}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&module&
+timestep
+\\ \hline \hline inverse of molecular mass $O_2$&
+$1/m_{O_2}$ & $mole/g$ & cons & $-$ \\
+inverse of molecular mass $O$& $1/m_{O}$ & $mole/g$ & cons & $-$ \\
+inverse of molecular mass $N_2$& $1/m_{N_2}$ & $mole/g$ & cons & $-$ \\
+reference pressure & $p_0$ & $???$ & cons & $-$ \\
+- & $e^z$ & $-$ & cons & $-$ \\
+Boltzman constant & $k_B$ & $-$ & cons & $-$ \\
+ molecular mass $NO$& $m_{NO}$ & $g/mole$ & cons & $-$ \\
+ molecular mass $N(^4S)$& $m_{N^4S}$ & $g/mole$ & cons & $-$ \\
+ molecular mass $N(^2D)$& $m_{N^2D}$ & $g/mole$ & cons & $-$ \\
+ molecular mass $O_2$& $m_{O_2}$ & $g/mole$ & cons & $-$ \\
+ molecular mass $O$& $m_{O}$ & $g/mole$ & cons & $-$ \\
+ total $O_2$ dissociation frequency& $rj$ & $1/s$ & qrj & $interface$ \\
+ $O_2^+$ production rate& $Q(O_2^+)$ & $??$ & qrj & $interface$ \\
+ $O^+$ production rate& $Q(O^+)$ & $??$ & qrj & $interface$ \\
+ chemical reaction rates& $k_i$ & $???$ & chemrates & $-$ \\
+ chemical reaction rates& $\beta_i$ & $???$ & chemrates & $-$ \\
+ chemical reaction rates& $a_i$ & $???$ & chemrates & $-$ \\
+ coefficient matrix & $fs$ & $???$ & chemrates & $-$
+\\ \hline \hline
+\end{tabular}
+\caption{Module data used in \src{subroutine comp\_o2o}}
+\label{tab:module_comp_o2o}
+\end{table}
+%
+The source and sink terms for the neutral composition are calculated
+in this subroutine, and stored in the coefficient matrix $fs$, which
+is module data of \src{chemrates\_module}. \\
+
+Firstly, the total dissociation frequency and the production rates
+are transferred from the interface level to the midpoint level.
+%
+\begin{align}
+  rj(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [rj(z)+ rj(z+\Delta z)] \notag \\
+  Q(O_2^+)(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [Q(O_2^+)(z)+ Q(O_2^+)(z+\Delta z)] \notag \\
+  Q(O^+)(z+\frac{1}{2}\Delta z ) = \frac{1}{2} [Q(O^+)(z)+ Q(O^+)(z+\Delta z)]
+\end{align}
+%
+The conversion factor $N\overline{m}$ from number density to mass
+mixing ratio is evaluated at the midpoint level
+%
+\begin{align}
+  N\overline{m}(z+\frac{1}{2}\Delta z) = \frac{p_0 e^{-z-1/2\Delta z}}{k_B T_n(z+1/2\Delta
+  z)}\left( \frac{\Psi(O_2)}{m_{O_2}}+ \frac{\Psi(O)}{m_{O}}+\frac{\Psi(N_2)}{m_{N_2}}\right)
+\end{align}
+%
+with $\Psi(N_2) = 1- \Psi(O_2 )- \Psi(O)$, and
+$1/\overline{m}(z+\frac{1}{2}\Delta z) =\frac{\Psi(O_2)}{m_{O_2}}+
+\frac{\Psi(O)}{m_{O}}+\frac{\Psi(N_2)}{m_{N_2}} $. The $O_x$
+production is
+%
+\begin{align}
+  P(O_x) = & (N\overline{m})^2 \left[ \beta_3 \frac{n(N^4S)}{m_{N^4S}}\frac{n(NO)}{m_{NO}}
+     + \beta_6 \frac{n(N^2D)}{m_{N^2D}}\frac{n(NO)}{m_{NO}}\right] +
+     \notag \\
+  & \frac{1}{2}( \beta_8(z) + \beta_8(z+\Delta
+    z))\frac{n(NO)}{m_{NO}}N\overline{m}(z+\frac{1}{2}\Delta z) + \notag \\
+  & N\overline{m}(z+\frac{1}{2}\Delta z) \left[ k_4 n(O_2^+)\frac{n(N^4S)}{m_{N^4S}} +
+     k_4 n(O^+)\frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
+  & \sqrt{Ne(z)Ne(z+\Delta z)}(a_1 n(NO^+)= 2 a_2 n(O_2^+))
+\end{align}
+%
+???? what is mass mixing ratio and what number density ??? and
+%
+\begin{align}
+ P(O_{x2}) = & (N\overline{m})(z+\frac{1}{2}\Delta z)\left[ \beta_1 \frac{n(N^4S)}{m_{N^4S}}
+    + \beta_2 \frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
+    & k_1 n(O^+) + k_7 n(N^+) + 2 rj(z+\frac{1}{2} \Delta z)
+\end{align}
+%
+The $O_x$ loss rates are
+%
+\begin{align}
+   L(O_{x1}) = & 2 k_{m12} N\overline{m} \frac{1}{\frac{1}{2}(\overline{m}(z) + \overline{m}(z+\Delta
+   z))} \\
+   L(O_{x2}) = & k_3 n(N_2^+) + k_8 n(N^+) \\
+   L(O_{x3}) = & Q(O^+) (z+\frac{1}{2} \Delta z)
+\end{align}
+%
+The $O_2$ production rates are
+%
+\begin{align}
+  P(O_2)_1 = & k_{m12}\frac{N\overline{m}(z+\frac{1}{2} \Delta z)}{\frac{1}{2}(\overline{m}(z) + \overline{m}(z+\Delta
+   z))} \\
+  P(O_2)_2 = & 0 \\
+  P(O_2)_3 = & k_5 \frac{n(NO}{m_{NO}}n(O_2^+)N\overline{m}(z+\frac{1}{2} \Delta z)
+\end{align}
+%
+The $O_2$ loss rates are
+%
+\begin{align}
+  L(O_2)_1 = & N\overline{m}(z+\frac{1}{2} \Delta z)\left[ \beta_1 \frac{n(N^4S)}{m_{N^4S}} +
+      \beta_2 \frac{n(N^2D)}{m_{N^2D}}\right] + \notag \\
+      & k_1 n(O^+) + (k_6 + k_7)n(N^+) + k_9 n(N_2^+) + rj \\
+  l(O_2)_2 = Q(O_2^+)(z+\frac{1}{2} \Delta z)
+\end{align}
+%
+The coefficients of the matrix $\mathbf(fs)$ are then
+%
+\begin{align}
+  fs_{11} = & - L(O_2) \\
+  fs_{12} = & N\overline{m}(z+\frac{1}{2} \Delta z) P(O_2)_1
+        \frac{\Psi(O)}{m_O}\frac{m_{O_2}}{m_O} \\
+  fs_{21} = & P(O_x)_2 \frac{m_O}{}m_{O_2} \\
+  fs_{22} = & -L(O_x)_2 - L(O_x)_1\frac{\Psi(O)}{m_O}N\overline{m}(z+\frac{1}{2} \Delta
+         z)\\
+  fs_{10} = & ( P(O_2)_3 - L(O_2)_2) \frac{m_{O_2}}{N\overline{m}} \\
+  fs_{20} = & ( P(O_x)_1 - L(O_x)_3) \frac{m_{O}}{N\overline{m}} \\
+\end{align}
+%
+%
+\subsection{Calculation of major species  $O_2$ and $O$}\label{subcap:comp}
+%
+The input to \src{subroutine comp} is summarized in table
+\ref{tab:input_comp}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n-\Delta t$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n- \Delta t$\\
+neutral temperature &        $T_n$              & $K$   &  midpoints & $t_n$\\
+neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity &       $v_n$              & $cm/s$   &  midpoints & $t_n$\\
+neutral "vertical" velocity &       $W$              & $1/s$   &  interfaces & $t_n$\\
+horizontal diffusion of $O_2$ &       $h_a(O_2)$              & $??$   &  midpoints ??? & $t_n$\\
+horizontal diffusion of $O$ &       $h_d(O)$              & $??$ &
+midpoints ??? & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp}}
+\label{tab:input_comp}
+\end{table}
+%
+The output of \src{subroutine comp} is summarized in table
+\ref{tab:output_comp}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+updated mass mixing ratio $O_2$ &       $\Psi(O_2)^{upd}$              & $-$   &  midpoints & $t_n$\\
+updated mass mixing ratio $O$ &         $\Psi(O  )^{upd}$              & $-$   &  midpoints & $t_n$\\
+updated mass mixing ratio $O_2$ &       $\Psi(O_2)^{upd}$              & $-$   &  midpoints & $t_n+\Delta t$\\
+updated mass mixing ratio $O$ &         $\Psi(O  )^{upd}$ & $-$   &
+midpoints & $t_n+ \Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine comp}}
+\label{tab:output_comp}
+\end{table}
+%
+The module data of \src{subroutine comp} is summarized in table
+\ref{tab:module_comp}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&module&
+timestep
+\\ \hline \hline inverse of molecular mass $O_2$&
+$1/m_{O_2}$ & $mole/g$ & cons & $-$ \\
+inverse of molecular mass $O$& $1/m_{O}$ & $mole/g$ & cons & $-$ \\
+inverse of molecular mass $N_2$& $1/m_{N_2}$ & $mole/g$ & cons & $-$ \\
+- & $e^{-z-\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
+- & $e^{-\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
+- & $e^{\frac{1}{2}\Delta z}$ & $-$ & cons & $-$ \\
+ molecular mass $O_2$& $m_{O_2}$ & $g/mole$ & cons & $-$ \\
+ molecular mass $O$& $m_{O}$ & $g/mole$ & cons & $-$ \\
+ & $\Pi$ & $-$ & cons & $-$ \\
+ & $\frac{1}{2\Delta t}$ & $$ & cons & $-$ \\
+smoothing factor & $f_{smo}=0.95$ & $$ & cons & $-$ \\
+ & $\frac{1}{2}(1-0.95)$ & $$ & cons & $-$ \\
+background eddy diffusion & $d_k$ & $$ & cons & $-$ \\
+wave filtering & $k_{ut5}$ & $$ & cons & $-$ \\
+matrix coefficients with source and sinks & $\mathbf{fs}$ & $$ &
+chemrates & $-$
+\\ \hline \hline
+\end{tabular}
+\caption{Module data used in \src{subroutine comp}}
+\label{tab:module_comp}
+\end{table}
+%
+The calculation of the composition is explained in
+\cite{dickinson1984}
+% Dickinson, R.E., Ridley, E.C., Roble, R.G.:
+% Thermospheric General Circulation with Coupled Dynamics and Composition
+% Journal of the atmospheric sciences, Vol 41, No. 2,pp 205-219
+The major neutral constituents of the thermosphere are $O_2$, $O$,
+and $N_2$. The mass mixing ratio of these are
+%
+\begin{align}
+ \Psi_i = n_i m_i \left( \sum_{j=1}^3 n_j m_j \right)^{-1}
+\end{align}
+%
+with $n_i$ the number density of the $i th$ species, with $i=1,2,
+\text{and} 3$ corresponding to $O_2$, $O$, and $N_2$. The molecular
+mass of the $i th$ species is $m_i$. The vector of mass mixing
+ratios is defined by
+%
+\begin{align}
+ \mathbf{\Psi} = \left(
+                    \begin{array}{c}
+                      \Psi_{O_2} \\
+                      \Psi_O \\
+                    \end{array}
+                  \right)
+\end{align}
+%
+The $N_2$ mass mixing ratio is determined by
+%
+\begin{align}
+ \Psi_{N_2} = 1 - \Psi_{O_2}-\Psi_O
+\end{align}
+%
+The coupled vector equation for the mass mixing ratio vector
+\cite{dickinson1984}
+%
+\begin{align}
+ \frac{\partial}{\partial t}\mathbf{\Psi} & = -e^z \tau^{-1}\frac{\partial}{\partial z}
+ \left[ \frac{\overline{m}}{m_{N_2}\left(\frac{T_{00}}{T_n}\right)^{0.25}}
+ \mathbf{\alpha}^{-1} \mathbf{L} \mathbf{\Psi}\right] + \notag \\
+ & e^z \frac{\partial}{\partial z} \left( K(z)e^{-z}\frac{\partial}{\partial z}\mathbf{\Psi}\right)
+ - \notag \\
+ & \left( \mathbf{v}_n \cdot \nabla \mathbf{\Psi} +
+ W \frac{\partial}{\partial z} \mathbf{\Psi}\right)+ \mathbf{S} -
+ \mathbf{R}
+\end{align}
+%
+with time $t$, the vertical coordinate $z= ln(p_0/p)$, the pressure
+$p$ and $p_0$ the reference pressure. The diffusion time scale is
+$\tau = (p_0 H_0/ p_{00}D_0) = 1.86 10^3 s$, with $H_0$ the
+characteristic molecular nitrogen scale height at $T_{00}=273 K$,
+$p_{00}= 10^5 Pa$, the characteristic diffusion coefficient at
+$p_{00}$ and temperature $T_{00}$ is $D_0 = 2 10^{-5} m^2/s$. The
+mean molecular mass is $\overline{m}$, the molecular mass of each
+species is $m_i$. The horizontal neutral velocity is $\mathbf{v}_n$,
+and the "vertical" velocity is $W=\frac{dz}{dt}$. $K(z)$ is the eddy
+diffusion coefficient, the effective mass source is $\mathbf{S}$,
+and the removal rate is $\mathbf{R}$. \\
+The matrix $\mathbf{\alpha}$ varies as the inverse of the diffusion
+coefficients according to
+%
+\begin{align}
+  \alpha_{11} = & -[\phi_{13}+(\phi_{12}-\phi_{13})\Phi_{2}] \notag \\
+  \alpha_{22} = & -[\phi_{23}+(\phi_{21}-\phi_{23})\Phi_{1}] \notag \\
+  \alpha_{12} = &  (\phi_{12}-\phi_{13})\Phi_{1} \notag \\
+  \alpha_{21} = &  (\phi_{12}-\phi_{13})\Phi_{2} \label{eq:comp_phi_ij}
+\end{align}
+%
+where $i=1, 2, \text{and} 3$ denotes $O_2$, $O$, and $N_2$
+respectively. The value $\phi_{ij}$ is determined by
+%
+\begin{align}
+  \phi_{ij} = \frac{D}{D_{ij}}\frac{m_3}{m_j}
+\end{align}
+%
+with $D_{ij}$ is the mutual diffusion coefficient for gases $i$ and
+$j$ with $D_{12}$, $D_{13}$, $D_{23}$, and $D_0$ being $0.26, \;
+0.18, \; 0.26$ \cite{colegrove1966}, and $0.2 \times 10^{-4} m^2/s$,
+respectively.
+% colegrove, F.D. 1966: Atmospheric composition in the lower thermosphere.
+% J. Geophys. Res. 71, 2227-2236.
+%
+$D$ is the characteristic diffusion coefficient, which has the same
+temperature and pressure dependence as $D_{ij}$
+%
+\begin{align}
+  D = D_0 \frac{P_{00}}{P}\left(\frac{P}{T_{00}} \right)^{1.75}
+\end{align}
+%
+The matrix operator $\mathbf{L}$ is diagonal with elements
+%
+\begin{align}
+  \mathbf{L}= \delta_{ij}\left( \frac{\delta}{\delta z} - \epsilon_{ii}\right)
+\end{align}
+%
+and
+%
+\begin{align}
+  \epsilon_{ii} = 1-\frac{m_i}{\overline{m}}-
+  \frac{1}{\overline{m}}\frac{\partial}{\partial z}
+\end{align}
+%
+The matrix $\mathbf{L}$ defines diffusive equilibrium through
+$\mathbf{L}\mathbf{\Phi} = 0$. at the upper boundary diffusive
+equilibrium is assumed, so that $\mathbf{L}\mathbf{\Phi} = 0$. At
+the lower boundary the atomic oxygen concentration $n(O) $ peaks,
+which was observed, and therefore it is assumed $\partial
+n(O)/\partial z = 0$. Together with the the conservation of total
+oxygen atoms, this assumption leads to the following condition at
+the lower boundary
+%
+\begin{align}
+   \frac{\partial}{\partial z}\Psi_2 & = \Psi_2 \notag \\
+   \Psi_1 + \Psi_2 & = constant
+\end{align}
+%
+
+In the source code in \src{comp.F} first the values $\phi_{ij}$ from
+equation (\ref{eq:comp_phi_ij}) are set
+%
+\begin{align}
+  \phi_{21} = & \frac{0.2}{0.26}\frac{28}{32} = & 0.673 \notag \\
+  \phi_{12} = & \frac{0.2}{0.26}\frac{28}{10} = & 1.35  \notag \\
+  \phi_{13} = & \frac{0.2}{0.18}\frac{28}{28} = & 1.11  \notag \\
+  \phi_{23} = & \frac{0.2}{0.26}\frac{28}{28} = & 0.769
+\end{align}
+%
+The diffusive time scale $\tau$ is set to $1.86 \times 10^3 s$, and
+the standard temperature $T_{00}= 273 K$. A $\mathbf{\delta}$ matrix
+is set up as the identity matrix
+%
+\begin{align}
+ \mathbf{\delta} = \left(
+   \begin{array}{cc}
+    1 & 0 \\
+    0 & 1 \\
+  \end{array}
+ \right)
+\end{align}
+%
+The horizontal advection term $\mathbf{v}_n \cdot \nabla
+\mathbf{\Psi}$ is determined in the \src{subroutine advecl} which is
+part of the file \src{comp.F}. The input to the \src{subroutine
+advecl} is the mass mixing ratios $\Psi(O_2)^{t_n}$ and
+$\Psi(O)^{t_n}$, as well as the horizontal neutral velocities $u_n$
+and $v_n$.
+%
+\begin{align}
+ & \mathbf{v}_n \cdot \Psi_i  = \frac{1}{2} \frac{1}{R_e \cos \lambda}
+  [ \frac{2}{3 \Delta \phi} \left( \Psi_i(\phi + \Delta \phi, \lambda) -
+   \Psi_i(\phi - \Delta \phi, \lambda) \right) \notag \\
+   & \left( u_n(\phi + \Delta \phi, \lambda)
+   +  u_n(\phi - \Delta \phi, \lambda)\right) - \notag \\
+   & \frac{1}{12 \Delta \phi} \left( \Psi_i(\phi + 2\Delta \phi, \lambda) -
+   \Psi_i(\phi - 2\Delta \phi, \lambda) \right) \left( u_n(\phi + 2\Delta \phi, \lambda)
+   +  u_n(\phi - 2\Delta \phi, \lambda)\right)] + \notag \\
+   & \frac{1}{2}\frac{1}{R_e}
+  [ \frac{2}{3 \Delta \lambda} \left( \Psi_i(\phi, \lambda+ \Delta \lambda) -
+   \Psi_i(\phi , \lambda-\Delta \lambda) \right) \left( v_n(\phi , \lambda+\Delta \lambda)
+   +  v_n(\phi , \lambda-\Delta \lambda)\right) - \notag \\
+   & \frac{1}{12 \Delta \lambda} \left( \Psi_i(\phi , \lambda+2\Delta \lambda) -
+   \Psi_i(\phi , \lambda-2\Delta \lambda) \right) \left( v_n(\phi , \lambda\Delta \lambda)
+   +  v_n(\phi , \lambda-2 \Delta \lambda)\right)]
+\end{align}
+%
+for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
+mass mixing ratios at timestep $t_n - \Delta t$ are smoothed with a
+two part Shapiro smoother. The smoothing in latitude is
+%
+\begin{align}
+  \Psi_i^{t-\Delta t, \lambda_s}& = \Psi_i^{t-\Delta t} - 0.03 \{\Psi_i^{t-\Delta t}(\phi,\lambda +
+  2 \Delta \lambda) + \Psi_i^{t-\Delta t}(\phi,\lambda -
+  2 \Delta \lambda) - \notag \\
+  & 4 [\Psi_i^{t-\Delta t}(\phi,\lambda +
+   \Delta \lambda)+ \Psi_i^{t-\Delta t}(\phi,\lambda - \Delta \lambda)+
+   6\Psi_i^{t-\Delta t}(\phi,\lambda)]\}
+\end{align}
+%
+and afterwards a zonal smoothing is applied
+%
+\begin{align}
+  \Psi_i^{t-\Delta t, smo}& = \Psi_i^{t-\Delta t, \lambda_s} - 0.03
+  \{\Psi_i^{t-\Delta t, \lambda_s}(\phi+ 2\Delta \phi,\lambda +
+  ) + \Psi_i^{t-\Delta t, \lambda_s}(\phi- 2\Delta \phi,\lambda ) - \notag \\
+  & 4 [\Psi_i^{t-\Delta t, \lambda_s}(\phi+ \Delta \phi,\lambda )+
+  \Psi_i^{t-\Delta t, \lambda_s}(\phi-\Delta \phi,\lambda )+
+   6\Psi_i^{t-\Delta t, \lambda_s}(\phi,\lambda)]\}
+\end{align}
+%
+for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
+horizontal diffusion factor is set by
+%
+\begin{align}
+  |\lambda| & > 40^o    & \qquad d_{fac} = & 0.25 + 1.0 \notag \\
+  |\lambda| & \leq 40^o & \qquad d_{fac} = & 0.25 + \frac{1}{2}
+        \left( 1+\sin(\frac{\Pi (|\lambda| - 20^o)}{40^o})\right)
+\end{align}
+%
+If the input flag $DIFHOR$ is set to zero, in the input file then
+$d_{fac} = 0$. The mean molecular mass $\overline{m}$ is calculated
+at the midpoint level
+%
+\begin{align}
+ \overline{m} (z+\frac{1}{2}\Delta z) = \left( \frac{\Psi(O_2)}{m_{O_2}} +
+    \frac{\Psi(O)}{m_{O}}+ \frac{\Psi(N_2)}{m_{N_2}} \right)^{-1}
+\end{align}
+%
+with $\Psi(N_2) = 1 - \Psi(O_2) - \Psi(O)$. Note that the mass
+mixing ratios are also on the midpoint levels. \\
+
+The lower boundary values for the mass mixing ratios are set by
+%
+\begin{align}
+  \Psi_i(z_{LB}) = b(i,1) \Psi(O_2)(z_{LB}+\frac{1}{2}\Delta z) +
+   b(i,2) \Psi(O)(z_{LB}+\frac{1}{2}\Delta z) + f_b(i)
+\end{align}
+%
+for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively. The
+values $b(i,1)$, $b(i,2)$ and $f_b(i)$ are set in the
+\src{boundary\_module}. With the mass mixing ratios at the lower
+boundary the mean molecular mass can be determined at the lower
+boundary
+%
+\begin{align}
+ \overline{m} (z_{LB}) = \left( \sum_{i=1}^3 \frac{\Psi_i}{m_i}(z_{LB})  \right)^{-1}
+\end{align}
+%
+for $i = 1, 2 \text{and} 3$ which corresponds to $O_2$, $O$ and
+$N_2$, respectively. The term $\frac{1}{\overline{m}}\frac{\partial
+\overline{m}}{\partial z}$ at the bottom is determined
+%
+\begin{align}
+   wk_4  = \frac{1}{\overline{m}(z_{LB}) +\overline{m}(z_{LB}+\frac{1}{2}\Delta z) }
+      \frac{\overline{m}(z_{LB}+\frac{1}{2}\Delta z) +\overline{m}(z_{LB})}{\Delta z}
+\end{align}
+%
+???? where is the factor of 1/2 and 1/2 in $wk_4$ which level. Is
+the LB below the LB level???????. The $epsilon $terms $1-
+\frac{1}{\overline{m}}[{m_i} + \frac{\partial \overline{m}}{\partial
+z}]$ are
+%
+\begin{align}
+   \epsilon_{i}(k_m) = 1- \frac{2}{\overline{m}(z_{LB}) +
+       \overline{m}(z_{LB}+\frac{1}{2}\Delta z)}[{m_i} +
+     \frac{\overline{m}(z_{LB}+\frac{1}{2}\Delta z) -
+      \overline{m}(z_{LB})}{\Delta z}]
+\end{align}
+%
+for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively, and
+$k_m = 2$. The value
+%
+\begin{align}
+  zz_{1}(k_m) = zz_{1}(k_m) = 0
+\end{align}
+%
+??? how does the algorithm goes????. Next the matrix
+$\mathbf{\alpha}$ at the height level $z+0.25\Delta z$ is determined
+%
+\begin{align}
+   \alpha^*_{1,1}(k_m) = & \alpha_{22} = -\Delta_{11}[\phi_{2,3}+\{\phi_{2,1}-\phi_{2,3}\} \notag \\
+                         & \frac{1}{2} \{ \Psi_1(z_{LB}) + \Psi_1(z_{LB}+\frac{1}{2}\Delta
+                         z)\}] \\
+   \alpha^*_{1,2}(k_m) = & -\alpha_{12} = [1-\Delta_{12}][\phi_{1,2}- \phi_{1,3}] \notag \\
+                         & \frac{1}{2} \{ \Psi_1(z_{LB}) + \Psi_1(z_{LB}+\frac{1}{2}\Delta
+                         z)\}] \\
+   \alpha^*_{2,2}(k_m) = & \alpha_{11} = -\Delta_{22}[\phi_{1,3}+\{\phi_{1,2}-\phi_{1,3}\} \notag \\
+                         & \frac{1}{2} \{ \Psi_2(z_{LB}) + \Psi_2(z_{LB}+\frac{1}{2}\Delta
+                         z)\}]\\
+   \alpha^*_{2,1}(k_m) = & -\alpha_{21} = [1-\Delta_{22}][\phi_{2,2}- \phi_{2,3}] \notag \\
+                         & \frac{1}{2} \{ \Psi_2(z_{LB}) + \Psi_2(z_{LB}+\frac{1}{2}\Delta z)\}]
+\end{align}
+%
+Note, that the indices in the source code already take into account
+the inverse of the matrix with $\mathbf{\alpha}^{-1} =
+\mathbf{\alpha}^*/det|\mathbf{\alpha}| $, and therefore the diagonal
+values are switches and the off-diagonal terms have an minus sign.
+The determinant $det|\mathbf{\alpha}|$ is the same as
+$det|\mathbf{\alpha}^*(k_m)|=
+\alpha^*_{1,1}(k_m)\alpha^*_{2,2}(k_m)-\alpha^*_{1,2}(k_m)\alpha^*_{2,1}(k_m)$.
+The matrix $\mathbf{\alpha}^{*}$ is multiplied by the factor
+$\frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
+\frac{T_{00}}{T_n}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*|}$
+%
+\begin{align}
+   wk_1 = \frac{1}{\tau}\frac{1}{2} [\overline{m}(z_{LB}+ \overline{m}(z_{LB}+\frac{1}{2}\Delta z)]
+   \frac{1}{m_{N_2}}\left(
+\frac{T_{00}}{T_n(z_{LB})}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*(k_m)|}
+\end{align}
+%
+ which lead to the quantity defined as $A = \frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
+\frac{T_{00}}{T_n}\right)^{0.25}\mathbf{\alpha}^{-1}$. The value
+$\gamma$ at the bottom are set to
+%
+\begin{align}
+  \gamma_{ij}(k=1) = 0.
+\end{align}
+%
+for $i = 1, 2$ and $j+ 1, 2$, which corresponds to $O_2$ and $O$,
+respectively. \\
+
+After setting all the values at the bottom of the model, the height
+loops starts from the bottom to the top of the model ($k=1/ z=
+-6.75$ to $k = nlev-1 / z= 6.75$). The $epsilon $terms $1-
+\frac{1}{\overline{m}}[{m_i} + \frac{\partial \overline{m}}{\partial
+z}]$ are set at $z$ by
+%
+\begin{align}
+   \epsilon_{i}(k_p) = 1- \frac{2}{\overline{m}(z- \frac{1}{2} \Delta z) +
+       \overline{m}(z+\frac{1}{2}\Delta z)}[{m_i} +
+     \frac{\overline{m}(z+\frac{1}{2}\Delta z) -
+      \overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z}]
+\end{align}
+%
+for $i = 1, 2$ which corresponds to $O_2$ and $O$, respectively, and
+$k_p = 1$. Note that before the value $\epsilon_{i}(k_m)$ was
+determined, with $k_m = 2$. The values of $k_m$ and $k_p$ are
+alternating between $1$ and $2$ to get the values at the previous
+height level $k_m= k-1$, and the height level $k_p = k+1$. The
+$\mathbf{\alpha}$ is determined at $k_p / z$ by
+%
+\begin{align}
+   \alpha^*_{1,1}(k_p) = & \alpha_{22} = -\Delta_{11}[\phi_{2,3}+\{\phi_{2,1}-\phi_{2,3}\} \notag \\
+                         & \frac{1}{2} \{ \Psi_1(z-\frac{1}{2}\Delta z) + \Psi_1(z+\frac{1}{2}\Delta
+                         z)\}] \\
+   \alpha^*_{1,2}(k_p) = & -\alpha_{12} = [1-\Delta_{12}][\phi_{1,2}- \phi_{1,3}] \notag \\
+                         & \frac{1}{2} \{ \Psi_1(z-\frac{1}{2}\Delta z) + \Psi_1(z+\frac{1}{2}\Delta
+                         z)\}] \\
+   \alpha^*_{2,2}(k_p) = & \alpha_{11} = -\Delta_{22}[\phi_{1,3}+\{\phi_{1,2}-\phi_{1,3}\} \notag \\
+                         & \frac{1}{2} \{ \Psi_2(z-\frac{1}{2}\Delta z) + \Psi_2(z+\frac{1}{2}\Delta
+                         z)\}] \\
+   \alpha^*_{2,1}(k_p) = & -\alpha_{21} = [1-\Delta_{22}][\phi_{2,2}- \phi_{2,3}] \notag \\
+                         & \frac{1}{2} \{ \Psi_2(z-\frac{1}{2}\Delta z) + \Psi_2(z+\frac{1}{2}\Delta z)\}]
+\end{align}
+%
+The matrix $\mathbf{\alpha}^{*}$ is multiplied by the factor
+$\frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
+\frac{T_{00}}{T_n}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*|}$
+%
+\begin{align}
+   wk_1 = \frac{1}{\tau}\frac{1}{2} [\overline{m}(z- \frac{1}{2}\Delta )\overline{m}(z+\frac{1}{2}\Delta z)]
+   \frac{1}{m_{N_2}}\left(
+\frac{T_{00}}{T_n(z)}\right)^{0.25}\frac{1}{det|\mathbf{\alpha}^*(k_p)|}
+\end{align}
+%
+ which lead to the quantity defined as $A = \frac{1}{\tau} \frac{\overline{m}}{m_{N_2}}\left(
+\frac{T_{00}}{T_n}\right)^{0.25}\mathbf{\alpha}^{-1}$. The term
+$\frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial z}$ at
+is determined, but first the value  $wk_4$ which holds the value for
+$k_p / z$ is copied into $wk_3$ which holds the value for $k_m /
+z-\Delta z$.
+%
+\begin{align}
+   wk_4  = \frac{1}{\overline{m}(z-\frac{1}{2}\Delta z) +\overline{m}(z+\frac{1}{2}\Delta z) }
+      \frac{\overline{m}(z+\frac{1}{2}\Delta z) +\overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z}
+\end{align}
+%
+???? where is the factor of 1/2 and 1/2 in $wk_4$ which level.
+???????. \\
+
+The discretizied equation can be written as
+%
+\begin{align}
+  \mathbf{P}_k \mathbf{\Psi}_{k-1}^{t_n+ \Delta t} +
+  \mathbf{Q}_k \mathbf{\Psi}_{k}^{t_n+ \Delta t} +
+  \mathbf{R}_k \mathbf{\Psi}_{k+1}^{t_n+ \Delta t} = \mathbf{f}_k
+\end{align}
+%
+with
+%
+\begin{align}
+  P_k = & \frac{A(k_m)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_m)}{2} \right)
+  - \frac{e^{-z} K(k_m)}{\Delta^2 z} - \frac{e^{-z} W(k)}{2 \Delta
+  z} \\
+  R_k = & \frac{A(k_p)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)}{2} \right)
+  - \frac{e^{-z} K(k_p)}{\Delta^2 z} + \frac{e^{-z} W(k)}{2 \Delta
+  z} \\
+  Q_k =&  - [\frac{A(k_m)}{\Delta z} \left(\frac{1}{\Delta z} - \frac{\epsilon(k_m)}{2} \right)  \\
+    & \frac{A(k_p)}{\Delta z} \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)}{2} \right)
+  - \frac{e^{-z} K(k_m)}{\Delta^2 z}- \frac{e^{-z} K(k_p)}{\Delta^2 z} + JSe^{-z} -
+   \frac{e^{-z}}{2 \Delta t} ] \notag \\
+   f_k = & e^{-z}[ \frac{\Psi^{t_n-\Delta t}(k)}{2 \Delta t} - \mathbf{v}_n \cdot \nabla \Psi^{t_n}(k)]
+\end{align}
+%
+In the source code the values are
+%
+\begin{align}
+  P_k(i,j) = & [{A(k_m)(i,j)}
+   \left(\frac{1}{\Delta z} + \frac{\epsilon(k_m)(j)}{2} \right)
+      \notag \\
+  & - e^{-(z+\frac{1}{2}\Delta z)}( e^{\frac{1}{2}\Delta z}K(k???z-\frac{1}{2}\Delta z)d_{fac}
+    (\frac{1}{\Delta z}-wk_3) + \notag \\
+  & 0.25 (W(z)+W(z+\Delta z))) \Delta(i,j)] \frac{1}{\Delta z}
+\end{align}
+%
+\begin{align}
+  R_k(i,j) = & [A(k_p)(i,j)
+   \left(\frac{1}{\Delta z} - \frac{\epsilon(k_p)(j)}{2} \right)
+      \notag \\
+  & - e^{-(z+\frac{1}{2}\Delta z)}( e^{-\frac{1}{2}\Delta z}K(k+1/z+\frac{1}{2}\Delta z)d_{fac}
+  (\frac{1}{\Delta z}+wk_4) -  \notag \\
+  &  0.25 (W(z)+W(z+\Delta z))) \Delta(i,j)] \frac{1}{\Delta z}
+\end{align}
+%
+\begin{align}
+  Q_k(i,j) = & - \frac{1}{\Delta z}[A(k_m)(i,j)
+   \left(\frac{1}{\Delta z} - \frac{\epsilon(k_m)(j)}{2} \right) +
+   A(k_p)(i,j)
+   \left(\frac{1}{\Delta z} + \frac{\epsilon(k_p)(j)}{2} \right)
+      \notag \\
+  & + e^{-(z+\frac{1}{2}\Delta z)}( \{e^{\frac{1}{2}\Delta z}K(k+1/z+\frac{1}{2}\Delta z)
+  (\frac{1}{\Delta z}-wk_4) -  \notag \\
+  & e^{-\frac{1}{2}\Delta z}K(k/z-\frac{1}{2}\Delta z)
+  (\frac{1}{\Delta z}+wk_3) \}\frac{d_{fac}}{\Delta z} + \frac{1}{2\Delta t}\notag \\
+  &) \Delta(i,j) - fs(i,j)]
+\end{align}
+%
+The right hand side is assembled in the following
+%
+\begin{align}
+  f_k(i) =e^{-(z+\frac{1}{2}\Delta z)}[ \frac{\Psi_i^{t_n-\Delta t,smo}}{2 \Delta t}
+     -\mathbf{v}_n\cdot \nabla \Psi_i + f_{s,0}(i) + h_{d,i}]
+\end{align}
+%
+for $i = 1,2$ corresponding to $O_2$ and $O$, respectively. \\
+
+At the lower boundary the coefficients are adjusted ??? what's the
+condition there???
+%
+%
+\begin{align}
+ Q_k^*(i,j)(z_{bot}) = Q_k(i,j)(z_{bot}) +P_k(i,1)(z_{bot})b(1,j) +
+      P_k(i,2)(z_{bot})b(2,j)
+\end{align}
+%
+with $z_{bot} = -6.75$ or $z_{bot} = z_{LB}+ \frac{1}{2}\Delta z$,
+and $i = 1, 2$ and $j=1, 2$ corresponding to $O_2$ and $O$,
+respectively. The updated right hand side is
+%
+\begin{align}
+ f_k^*(i)(z_{bot}) = f_k(i)(z_{bot}) -P_k(i,1)(z_{bot})fb(1) -
+      P_k(i,2)(z_{bot})fb(2)
+\end{align}
+%
+with $i = 1, 2$ corresponding to $O_2$ and $O$, respectively. \\
+
+At the upper boundary we set $\frac{\partial}{\partial z}
+\mathbf{\Psi} = \epsilon \mathbf{\Psi}$ which leads to
+%
+\begin{align}
+ \frac{\Psi(k+1) - \Psi(k)}{\Delta z} = \frac{\epsilon(z+\frac{1}{2}\Delta z)}{2}
+ (\Psi(k+1)+\Psi(k)))
+\end{align}
+%
+with $k= nlev1-1$ and $k+1=nlev$ corresponding to
+$z_{ub}-\frac{3}{2}\Delta z=6.25$ and $z_{ub}-\frac{1}{2}\Delta
+z=6.75$, respectively. The coefficient equation looks like
+%
+\begin{align}
+  P_k \Psi(k-1) + [Q_k + R_k \frac{1 + 0.5 \epsilon(k+1/2) \Delta z}
+  {1 - 0.5 \epsilon(k+1/2) \Delta z}]\Psi(k) = f_k
+\end{align}
+%
+??? make matrix out of the equation????
+%
+%
+\begin{align}
+ Q_k^*(i,j)(z_{ub}-\frac{3}{2}\Delta z) & = Q_k(i,j)(z_{ub}-\frac{3}{2}\Delta z)
+ + \notag \\
+   & \frac{1 + 0.5 \epsilon(k+1/2) \Delta z}{1 - 0.5 \epsilon(k+1/2) \Delta
+   z} R_k(i,j)(z_{ub}-\frac{3}{2}\Delta z) \\
+  R_k^*(i,j)(z_{ub}-\frac{3}{2}\Delta z) & = 0
+\end{align}
+%
+with $i = 1, 2$ and $j=1, 2$ corresponding to $O_2$ and $O$,
+respectively.
+%
+For solving the equation the following values are needed ??? is this
+Newton iteration??? How does it work????
+%
+\begin{align}
+  Q_k'(i,j) = & Q_k(i,j) - P_k(i,1)*\gamma(1,j)(k)-
+     P_k(i,2)*\gamma(2,j)(k) \\
+  wk_1    = & det|Q_k'| \\
+  wk_{m1}(1,j) = & \frac{1}{wk_1} [\Delta(1,j)Q_k(2,2) - (1-\Delta(1,j))Q_k(1,j)] \\
+  wk_{m1}(2,j) = & \frac{1}{wk_1} [\Delta(2,j)Q_k(1,1) - (1-\Delta(2,j))Q_k(2,j)] \\
+  wk_{v1}(i) = & f_k(i) - \sum_{j=1}^2 P_k(i,j)zz(k)(j) \\
+  \gamma(k+1)(1,j) = & \sum_{m=1}^2 wk_{m1}(1,m) R_k(m,j)\\
+  \gamma(k+1)(2,j) = & \sum_{m=1}^2 wk_{m1}(2,m) R_k(m,j) \\
+  zz(k+1)(i) = &  \sum_{m=1}^2 wk_{m1}(i,m) wk_{v1}(m)
+\end{align}
+%
+Hereby end the height loop from the bottom to the top of the model.
+The values at the top ($k=nlev+1$ or $z_{UB}+\frac{1}{2}\Delta z =
+7.25$) are set
+%
+\begin{align}
+   \Psi_i^{t_n+\Delta t}(z_{UB}+\frac{1}{2}\Delta z) = 0
+\end{align}
+%
+with $i = 1, 2$ corresponding to $O_2$ and $O$, respectively. The
+updated value is
+%
+%
+\begin{align}
+  upd_i(z_{UB}+\frac{1}{2}\Delta z)  = 0
+\end{align}
+%
+Then the downward sweep begins
+%
+\begin{align}
+   upd_i(k)  = & zz(k+1)(i) \\
+   upd_i(k)  = & upd_i(k) - \sum_{j=1}^2 \gamma(k+1)(i,j)upd_j(k+1) \\
+   \Psi_i^{t_n+\Delta t}(k) = & upd_i(k)
+\end{align}
+%
+with $k$ and $k+1$ corresponding to $z-\frac{1}{2}\Delta z$ and
+$z+\frac{1}{2}\Delta z$, respectively, and with $i = 1, 2$ and $j=1,
+2$ corresponding to $O_2$ and $O$, respectively. \\
+
+The upper boundary is set by
+%
+\begin{align}
+  \Psi_i^{t_n+\Delta t}(lev1) = \frac{1 + 0.5 \epsilon_i(k_p) \Delta z}
+      {1 - 0.5 \epsilon_i(k_p) \Delta z}\Psi_i^{t_n+\Delta t}(lev1-1)
+\end{align}
+%
+with $i = 1, 2$ and corresponding to $O_2$ and $O$, respectively. \\
+%
+The calculated values for the mass mixing ratio $\Psi_i^{upd, t +
+\Delta t}$ are smoothed by a Fast Fourier transformation. All the
+wave numbers larger than a predefined value at each latitude are
+removed. The wave numbers are defined in the module \src{cons.F}.
+The values of the mass mixing ratio at the timestep $t_n$ are also
+updated by using
+%
+\begin{align}
+  \Psi_i^{upd,t_n} = \frac{1}{2}({1-c_{smo}})(\Psi_i^{t_n-\Delta t}+
+     \Psi_{i,{smo}}^{upd,t_n+\Delta t}) + c_{smo}\Psi_i^{t_n}
+\end{align}
+%
+with $c_{smo} = 0.95$, and $i = 1, 2$ and corresponding to $O_2$ and
+$O$, respectively. Non negative values are assured by
+%
+\begin{align}
+  \Psi_i^{upd,t_n} < & 1 \times 10^{-6} &  \quad & \Psi_i^{upd,t_n} = 1 \times
+  10^{-6} \\
+  \Psi_i^{upd,t_n+\Delta t} < & 1 \times 10^{-6} & \quad &\Psi_i^{upd,t_n+\Delta t} = 1 \times
+  10^{-6} \\
+  1-\sum_{i=1}^2 \Psi_i^{upd,t_n+\Delta t} < & 1 \times 10^{-6} &  \quad &
+          \Psi_i^{upd,t_n+\Delta t} =
+          \Psi_i^{upd,t_n+\Delta t}\frac{1-10^{-6}}{\sum_{i=1}^2 \Psi_i^{upd,t_n+\Delta t}} \\
+  1-\sum_{i=1}^2 \Psi_i^{upd,t_n} < & 1 \times 10^{-6} &  \quad &
+          \Psi_i^{upd,t_n} =
+          \Psi_i^{upd,t_n}\frac{1-10^{-6}}{\sum_{i=1}^2 \Psi_i^{upd,t_n}}
+\end{align}
+%
diff --git a/doc/description/cpktkm.tex b/doc/description/cpktkm.tex
index 5d17966..550e189 100644
--- a/doc/description/cpktkm.tex
+++ b/doc/description/cpktkm.tex
@@ -1,120 +1,120 @@
-%
-\section{Calculation of $K_T$, $\mu$, $C_p$ 
-\index{CPKTKM.F}}\label{cap:cpktkm}
-%
-The input to \src{subroutine cpktkm} is summarized in table
-\ref{tab:input_cpktkm}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
-mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints &
-$t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine cpktkm}}
-\label{tab:input_cpktkm}
-\end{table}
-%
-The output of \src{subroutine cpktkm} is summarized in table
-\ref{tab:output_cpktkm}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-specific heat    & $C_p$   & $ergs/(K cm^3)$   & interfaces  & $t_n+$ \\
-molecular viscosity    & $\mu$   & $gms/(cm s)$   & interfaces  & $t_n+$ \\
-thermal conductivity    & $K_T$   & $ergs/(cm K s)$   & interfaces & $t_n$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine cpktkm}}
-\label{tab:output_cpktkm}
-\end{table}
-%
-%
-The mean mass at the midpoint level is determined by
-%
-\begin{align}
-  \overline{m} = \frac{1}{\frac{\Psi_{O_2}}{m_{O_2}} +
-       \frac{\Psi_{O}}{m_{O}} + \frac{\Psi_{N_2}}{m_{N_2}}}
-\end{align}
-%
-with $\Psi_{N_2} = 1 - \Psi_{O} - \Psi_{O_2}$. The following values
-are calculated
-%
-\begin{align}
-  P(O_2) = \overline{m} \frac{\Psi_{O_2}}{m_{O_2}} \\
-  P(O) = \overline{m} \frac{\Psi_{O}}{m_{O}} \\
-  P(N_2) = \overline{m} \frac{\Psi_{N_2}}{m_{N_2}}
-\end{align}
-%
-The molecular viscosity is
-%
-\begin{align}
- \mu = \left[ 4.03 \cdot P(O_2) + 3.42 \cdot P(N_2) + 3.9 \cdot
- P(O)\right] T_n^{0.69} \cdot 10^{-6}
-\end{align}
-%
-The thermal conductivity is
-%
-\begin{align}
-  K_T = \left[ 56 \cdot \left( P(O_2) + P(N_2)\right) + 75.9 \cdot
-  P(O)\right] T_n^{0.69}
-\end{align}
-%
-Note that the value $T_0$ is set to zero in the code. (This is a holdover from
-the original TGCM, which only calculated a temperature difference. $T_0$ was
-then added to this calcualtion to get the actual temperature for purposes like
-this.) The specific
-heat is
-%
-\begin{align}
-  C_p = \frac{1}{2} R^* \left[ \frac{7}{32} P(O_2) + \frac{7}{28} P(N_2)+ \frac{5}{16} P(O)\right]
-\end{align}
-%
-with $R^*$ the gas constant. At the upper boundary the values are
-set to
-%
-\begin{align}
-  K_T(z_{top} + \frac{1}{2} \Delta z) =& \left[ 56 \cdot \left( P(O_2) + P(N_2)\right) + 75.9 \cdot
-  P(O)\right] \notag \\
-    {} & T_n^{0.69}(z_{top} - \frac{1}{2} \Delta z) \\
- \mu(z_{top} + \frac{1}{2} \Delta z) = & \left[ 4.03 \cdot P(O_2) + 3.42 \cdot P(N_2) + 3.9 \cdot
- P(O)\right]\notag \\
-   {} & T_n^{0.69}(z_{top} - \frac{1}{2} \Delta z) \cdot 10^{-6}
-\end{align}
-%
-and all the other values at $z_{top} + \frac{1}{2} \Delta z$, and
-only $T_n$ at a level below $z_{top} - \frac{1}{2} \Delta z$. The
-values are then transferred to the interface level by averaging
-%
-\begin{align}
-  K_T(z) = & \frac{1}{2} (K_T(z+\frac{1}{2}\Delta z) +K_T(z-\frac{1}{2}\Delta
-  z))\\
-  \mu(z) = & \frac{1}{2} (\mu(z+\frac{1}{2}\Delta z) +\mu(z-\frac{1}{2}\Delta
-  z))\\
-  C_p(z) = & \frac{1}{2} (C_p(z+\frac{1}{2}\Delta z) +C_p(z-\frac{1}{2}\Delta
-  z))
-\end{align}
-%
-with $z$ having the height index $k$ on the interface level,
-$z+\frac{1}{2}\Delta z$ has the index $k$, and $z-\frac{1}{2}\Delta
-z$ has the index $k-1$ on the midpoint level. The lower boundary is
-extrapolated by
-%
-\begin{align}
-   C_p(z_{bot} = & 2 C_p(z_{bot} + \frac{1}{2} \Delta z) - C_p(z_{bot} +\Delta
-   z) \\
-   K_T(z_{bot} = & 2 K_T (z_{bot} + \frac{1}{2} \Delta z) - K_T(z_{bot} +\Delta
-   z) \\
-   \mu(z_{bot} = & 2 \mu(z_{bot} + \frac{1}{2} \Delta z) - \mu(z_{bot} +\Delta
-   z) \\
-\end{align}
-%
-%
+%
+\section{Calculation of $K_T$, $\mu$, $C_p$ 
+\index{CPKTKM.F}}\label{cap:cpktkm}
+%
+The input to \src{subroutine cpktkm} is summarized in table
+\ref{tab:input_cpktkm}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
+mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints &
+$t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine cpktkm}}
+\label{tab:input_cpktkm}
+\end{table}
+%
+The output of \src{subroutine cpktkm} is summarized in table
+\ref{tab:output_cpktkm}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+specific heat    & $C_p$   & $ergs/(K cm^3)$   & interfaces  & $t_n+$ \\
+molecular viscosity    & $\mu$   & $gms/(cm s)$   & interfaces  & $t_n+$ \\
+thermal conductivity    & $K_T$   & $ergs/(cm K s)$   & interfaces & $t_n$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine cpktkm}}
+\label{tab:output_cpktkm}
+\end{table}
+%
+%
+The mean mass at the midpoint level is determined by
+%
+\begin{align}
+  \overline{m} = \frac{1}{\frac{\Psi_{O_2}}{m_{O_2}} +
+       \frac{\Psi_{O}}{m_{O}} + \frac{\Psi_{N_2}}{m_{N_2}}}
+\end{align}
+%
+with $\Psi_{N_2} = 1 - \Psi_{O} - \Psi_{O_2}$. The following values
+are calculated
+%
+\begin{align}
+  P(O_2) = \overline{m} \frac{\Psi_{O_2}}{m_{O_2}} \\
+  P(O) = \overline{m} \frac{\Psi_{O}}{m_{O}} \\
+  P(N_2) = \overline{m} \frac{\Psi_{N_2}}{m_{N_2}}
+\end{align}
+%
+The molecular viscosity is
+%
+\begin{align}
+ \mu = \left[ 4.03 \cdot P(O_2) + 3.42 \cdot P(N_2) + 3.9 \cdot
+ P(O)\right] T_n^{0.69} \cdot 10^{-6}
+\end{align}
+%
+The thermal conductivity is
+%
+\begin{align}
+  K_T = \left[ 56 \cdot \left( P(O_2) + P(N_2)\right) + 75.9 \cdot
+  P(O)\right] T_n^{0.69}
+\end{align}
+%
+Note that the value $T_0$ is set to zero in the code. (This is a holdover from
+the original TGCM, which only calculated a temperature difference. $T_0$ was
+then added to this calcualtion to get the actual temperature for purposes like
+this.) The specific
+heat is
+%
+\begin{align}
+  C_p = \frac{1}{2} R^* \left[ \frac{7}{32} P(O_2) + \frac{7}{28} P(N_2)+ \frac{5}{16} P(O)\right]
+\end{align}
+%
+with $R^*$ the gas constant. At the upper boundary the values are
+set to
+%
+\begin{align}
+  K_T(z_{top} + \frac{1}{2} \Delta z) =& \left[ 56 \cdot \left( P(O_2) + P(N_2)\right) + 75.9 \cdot
+  P(O)\right] \notag \\
+    {} & T_n^{0.69}(z_{top} - \frac{1}{2} \Delta z) \\
+ \mu(z_{top} + \frac{1}{2} \Delta z) = & \left[ 4.03 \cdot P(O_2) + 3.42 \cdot P(N_2) + 3.9 \cdot
+ P(O)\right]\notag \\
+   {} & T_n^{0.69}(z_{top} - \frac{1}{2} \Delta z) \cdot 10^{-6}
+\end{align}
+%
+and all the other values at $z_{top} + \frac{1}{2} \Delta z$, and
+only $T_n$ at a level below $z_{top} - \frac{1}{2} \Delta z$. The
+values are then transferred to the interface level by averaging
+%
+\begin{align}
+  K_T(z) = & \frac{1}{2} (K_T(z+\frac{1}{2}\Delta z) +K_T(z-\frac{1}{2}\Delta
+  z))\\
+  \mu(z) = & \frac{1}{2} (\mu(z+\frac{1}{2}\Delta z) +\mu(z-\frac{1}{2}\Delta
+  z))\\
+  C_p(z) = & \frac{1}{2} (C_p(z+\frac{1}{2}\Delta z) +C_p(z-\frac{1}{2}\Delta
+  z))
+\end{align}
+%
+with $z$ having the height index $k$ on the interface level,
+$z+\frac{1}{2}\Delta z$ has the index $k$, and $z-\frac{1}{2}\Delta
+z$ has the index $k-1$ on the midpoint level. The lower boundary is
+extrapolated by
+%
+\begin{align}
+   C_p(z_{bot} = & 2 C_p(z_{bot} + \frac{1}{2} \Delta z) - C_p(z_{bot} +\Delta
+   z) \\
+   K_T(z_{bot} = & 2 K_T (z_{bot} + \frac{1}{2} \Delta z) - K_T(z_{bot} +\Delta
+   z) \\
+   \mu(z_{bot} = & 2 \mu(z_{bot} + \frac{1}{2} \Delta z) - \mu(z_{bot} +\Delta
+   z) \\
+\end{align}
+%
+%
diff --git a/doc/description/divrg.tex b/doc/description/divrg.tex
index b8074c8..3cdf8dc 100644
--- a/doc/description/divrg.tex
+++ b/doc/description/divrg.tex
@@ -1,91 +1,91 @@
-%
-\section{Calculation vertical velocity $W$\index{SWDOT.F} \index{DIVRG.F}}\label{cap:divrg}
-%
-The input to \src{subroutine swdot} is summarized in table
-\ref{tab:input_swdot}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity &       $\cos \lambda v_n$              & $cm/s$   &  midpoints & $t_n$\\
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine swdot}}
-\label{tab:input_swdot}
-\end{table}
-%
-The output of \src{subroutine swdot} is summarized in table
-\ref{tab:output_swdot}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline 'dimensionless' vertical velocity &
-$W$ & $1/s$ & interfaces  & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine swdot}}
-\label{tab:output_swdot}
-\end{table}
-%
-The vertical velocity is calculated by solving the continuity
-equation of the
-thermospheric neutral gas. The continuity equation takes the
-following form
-%
-\begin{align}
-  \frac{1}{R \cos \lambda} \frac{\partial}{\partial \lambda} ( v_n \cos \lambda
- ) + \frac{1}{R \cos \lambda } \frac{\partial u_n}{\partial
-  \phi} + e^z \frac{\partial}{\partial Z}(e^{-z}W) = 0 \label{eq:swdot1}
-\end{align}
-%
-with the 'dimensionless' vertical velocity is $W= \frac{dZ}{dt}$.
-The 'real' vertical velocity $w$ relative to a pressure level 
-(note that for the vertical velocity relative to the ground you have to add the
-vertical movement of the pressure level) is obtained by integrating the
-continuity equation over $Z$ to get $W$, and then multiply $W$ by
-the scale height $H$. \\
-
-The horizontal divergence $\nabla_H \cdot \mathbf{v}_n $ is
-calculated in \src{subroutine divrg}.
-%
-\begin{align}
-  \nabla_H \cdot \mathbf{v}_n = & \frac{1}{R_E \cos \lambda} [ \frac{2}{3 \Delta \phi}\left[ u_n(\phi+ \Delta \phi,\lambda)
-    -u_n(\phi- \Delta \phi,\lambda)\right] - \notag \\
-    {}&  \frac{1}{12 \Delta \phi}\left[ u_n(\phi+ 2\Delta \phi,\lambda)
-    -u_n(\phi- 2\Delta \phi,\lambda)\right] \notag \\
-  {} & \frac{2}{3 \Delta \phi}\left[ \cos (\lambda + \Delta \lambda) v_n(\phi,\lambda + \Delta \lambda)
-    -cos (\lambda - \Delta \lambda) v_n(\phi,\lambda - \Delta \lambda)\right]
-    - \notag \\
-   {} & \frac{1}{12 \Delta \lambda}\left[ v_n(\phi,\lambda+2\Delta \lambda)
-    -v_n(\phi,\lambda-2 \Delta \lambda)\right]]
-\end{align}
-%
-The integration is done by an integration from the top to the bottom of
-the model, with the condition at the upper boundary being
-%
-\begin{align}
-  \frac{\partial w}{\partial z} = 0
-\end{align}
-%
-and in descritized form
-%
-\begin{align}
-  W(z_{top}) = \nabla_H \cdot \mathbf{v}_n(z_{top}-\frac{1}{2} \Delta z)
-\end{align}
-%
-and then do the integration
-%
-\begin{align}
-  W(z - \Delta z) = e^{-\frac{1}{2}z}\left[e^{-\frac{1}{2}z}W(z - 2\Delta z)+ \Delta z
-  \nabla_H \cdot \mathbf{v}_n(z+\frac{1}{2} \Delta
-  z)\right]
-\end{align}
-%
-The vertical velocity $W$ is then filtered in longitude to remove
-the high wave numbers. The filter is in \src{subroutine filter\_w}
-and is part of the file \src{swdot.F}.
+%
+\section{Calculation vertical velocity $W$\index{SWDOT.F} \index{DIVRG.F}}\label{cap:divrg}
+%
+The input to \src{subroutine swdot} is summarized in table
+\ref{tab:input_swdot}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity &       $\cos \lambda v_n$              & $cm/s$   &  midpoints & $t_n$\\
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine swdot}}
+\label{tab:input_swdot}
+\end{table}
+%
+The output of \src{subroutine swdot} is summarized in table
+\ref{tab:output_swdot}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline 'dimensionless' vertical velocity &
+$W$ & $1/s$ & interfaces  & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine swdot}}
+\label{tab:output_swdot}
+\end{table}
+%
+The vertical velocity is calculated by solving the continuity
+equation of the
+thermospheric neutral gas. The continuity equation takes the
+following form
+%
+\begin{align}
+  \frac{1}{R \cos \lambda} \frac{\partial}{\partial \lambda} ( v_n \cos \lambda
+ ) + \frac{1}{R \cos \lambda } \frac{\partial u_n}{\partial
+  \phi} + e^z \frac{\partial}{\partial Z}(e^{-z}W) = 0 \label{eq:swdot1}
+\end{align}
+%
+with the 'dimensionless' vertical velocity is $W= \frac{dZ}{dt}$.
+The 'real' vertical velocity $w$ relative to a pressure level 
+(note that for the vertical velocity relative to the ground you have to add the
+vertical movement of the pressure level) is obtained by integrating the
+continuity equation over $Z$ to get $W$, and then multiply $W$ by
+the scale height $H$. \\
+
+The horizontal divergence $\nabla_H \cdot \mathbf{v}_n $ is
+calculated in \src{subroutine divrg}.
+%
+\begin{align}
+  \nabla_H \cdot \mathbf{v}_n = & \frac{1}{R_E \cos \lambda} [ \frac{2}{3 \Delta \phi}\left[ u_n(\phi+ \Delta \phi,\lambda)
+    u_n(\phi- \Delta \phi,\lambda)\right] - \notag \\
+    {}&  \frac{1}{12 \Delta \phi}\left[ u_n(\phi+ 2\Delta \phi,\lambda)
+    u_n(\phi- 2\Delta \phi,\lambda)\right] \notag \\
+  {} & \frac{2}{3 \Delta \phi}\left[ \cos (\lambda + \Delta \lambda) v_n(\phi,\lambda + \Delta \lambda)
+    cos (\lambda - \Delta \lambda) v_n(\phi,\lambda - \Delta \lambda)\right]
+    - \notag \\
+   {} & \frac{1}{12 \Delta \lambda}\left[ v_n(\phi,\lambda+2\Delta \lambda)
+    v_n(\phi,\lambda-2 \Delta \lambda)\right]]
+\end{align}
+%
+The integration is done by an integration from the top to the bottom of
+the model, with the condition at the upper boundary being
+%
+\begin{align}
+  \frac{\partial w}{\partial z} = 0
+\end{align}
+%
+and in descritized form
+%
+\begin{align}
+  W(z_{top}) = \nabla_H \cdot \mathbf{v}_n(z_{top}-\frac{1}{2} \Delta z)
+\end{align}
+%
+and then do the integration
+%
+\begin{align}
+  W(z - \Delta z) = e^{-\frac{1}{2}z}\left[e^{-\frac{1}{2}z}W(z - 2\Delta z)+ \Delta z
+  \nabla_H \cdot \mathbf{v}_n(z+\frac{1}{2} \Delta
+  z)\right]
+\end{align}
+%
+The vertical velocity $W$ is then filtered in longitude to remove
+the high wave numbers. The filter is in \src{subroutine filter\_w}
+and is part of the file \src{swdot.F}.
diff --git a/doc/description/dt.tex b/doc/description/dt.tex
index 9c567c9..30b0938 100644
--- a/doc/description/dt.tex
+++ b/doc/description/dt.tex
@@ -1,574 +1,574 @@
-%
-\section{Thermodynamic equation \index{DT.F}}\label{cap:dt}
-%
-The input to \src{subroutine dt} is summarized in table
-\ref{tab:input_dt}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t_n-\Delta t$\\
-neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
-mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
-mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
-mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
-specific heat&       {$C_p$}     & $\frac{erg}{K g}$   & interfaces   &  $t_n$\\
-molecular diffusion&       $k_t$     & $\frac{erg}{cm K s}$   & interfaces  & $t_n$ \\
-molecular viscosity&       $k_m$     & $\frac{g}{cm s}$   & interfaces  & $t_n$ \\
-horizontal diffusion&       {$h_{d,T}$}     & $\frac{cm}{s^2}$   & midpoints  & $t_n-\Delta t$\\
-Joule heating &       {$Q_{J,T}$}     & $\frac{erg}{K\; s}$   & midpoints  &  $t_n$\\
-implicit cooling &       {$L_{imp}$}     & $\frac{1}{s}$   & midpoints  & $t_n$\\
-explicit cooling &       {$L_{exp}$}     & $\frac{erg}{K \; s}$   & midpoints  & $t_n$\\
-dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   &
-interfaces& $t+\Delta t$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine dt}} \label{tab:input_dt}
-\end{table}
-%
-The output of \src{subroutine dt} is summarized in table
-\ref{tab:output_dt}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-neutral temperature    &       {$T_n^{upd,t+\Delta t}$}     & $K$   & midpoints  & $t_n+\Delta t$ \\
-neutral temperature     &       {$T_n^{upd,t}$}     & $K$   &
-midpoints & $t_n$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine dt}} \label{tab:output_dt}
-\end{table}
-%
-%
-The module data of \src{subroutine dt} is summarized in table
-\ref{tab:module_dt}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline heating from solar radiation    &
-{$Q_{qrj}$}     & $\frac{erg}{K \; s}$   & interfaces  & $t_n$
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine dt}} \label{tab:module_dt}
-\end{table}
-%
-The thermodynamic equation is solved to get the neutral temperature
-%
-\begin{align}
-  \frac{\partial T_n}{\partial t} = & \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
-  \left\{ \frac{K_T}{H} \frac{\partial T_n}{\partial Z} + K_E H^2 C_p \rho \left[
-   \frac{g}{C_p} + \frac{1}{H}\frac{\partial T}{\partial
-   Z}\right]\right\} - \mathbf{v}_n\cdot \nabla T_n - \notag  \\
-   {}&  W \left(
-   \frac{\partial T_n}{\partial Z} + \frac{R^* T_n}{C_p \overline{m}}
-   \right) + \frac{Q^{exp}-e^z \; L^{exp}}{C_p} - L^{imp}  T_n\label{eq:dt_1}
-\end{align}
-%
-with $T_n$ the neutral temperature, $t$ the time, $g$ the
-gravitational acceleration, $C_p$ the specific heat per unit mass,
-$p_0 $ the reference pressure, $K_T$ is the molecular thermal
-conductivity, $H$ is the pressure scale height, $K_E$ is the eddy
-diffusion coefficient, $\rho$ is the atmospheric mass density,
-$\mathbf{v}_n$ is the horizontal neutral velocity with the zonal and
-meridional components $u_n$ and $v_n$, $W$ is the dimensionless
-vertical velocity given by $W = \frac{dZ}{dt}$, $R^*$ is the
-universal gas constant, $\overline{m}$ is the mean atmospheric mass,
-and $Q$
-and $L$ are the other heating and cooling terms
-\cite{roble1995},\cite{roble1987b}. \\
-%
-The local time variation of the neutral temperature is determined by
-the heating and cooling terms on the right hand side of the
-thermodynamic equation. The first term is the heat transfer by
-vertical molecular heat conduction and adiabatic heating or cooling
-due to eddy diffusion. The second term is the heat transfer due to
-horizontal advection, and the third term is the adiabetic heating
-and cooling caused by the vertical winds. The last terms in equation 
-(\ref{eq:dt_1}) account
-for all the other heating and cooling terms. \\
-
-%
-To make it more easy to compare with the code we write the
-thermodynamic equation with implicit and explicit terms
-%
-\begin{align}
-  \frac{T_n^{t+\Delta t}- T_n^{t- \Delta t}}{2 \Delta t} =&
-   \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
-  \left\{ \left( \frac{K_T}{H} + \frac{K_E H^2 C_p \rho}{H} \right)
-  \frac{\partial T_n^{t+\Delta t}}{\partial Z}\right\} + \notag \\
-  {}& \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
-  \left\{K_E H^2 C_p
-   \frac{g} \rho {C_p}\right\} - \mathbf{v}_n^t\cdot \nabla T_n^t - \\
-   {}& W^{t+\Delta t}\frac{\partial T_n}{\partial Z}
-    - W^{t+\Delta t}\frac{R^* T_n^{t+\Delta t}}{C_p \overline{m}}
-    + \frac{Q^{exp}}{C_p}- \frac{e^z \; L^{exp}}{C_p}- L^{imp} T_n^{t + \Delta t}
-    \notag
-\end{align}
-%
-The terms are ordered now by left and right hand side, and the whole
-equation is multiplied by $\frac{C_p}{e^z}$.
-%
-\begin{align}
-  & \frac{C_p}{e^z} \left\{ -\frac{T_n^{t- \Delta t,smo}}{2 \Delta t} +
-  \mathbf{v}_n^t\cdot \nabla T_n^t + W^{t+\Delta t}\frac{\partial T_n}{\partial Z}
-  - \frac{Q^{exp}-e^z \; L^{exp}}{C_p} \right\} = \notag \\
-  & \frac{\partial}{\partial Z} \left\{
-  \frac{g}{H p_0} \left( \frac{K_T}{H} + K_E H^2 C_p \rho \right)
-  \frac{\partial T_n^{t+\Delta t}}{\partial Z}
-  \right\} + \\
-  & \frac{\partial}{\partial Z} \left\{ \frac{g^2}{p_0}\frac{K_E H^2 \rho}
-  {T_n^t} T_n^{t+\Delta t} \right\}
-  + \frac{C_p}{e^z}\left\{ - \frac{T_n^{t+ \Delta t}}{2 \Delta t} - w^{t+\Delta t}
-  \frac{R^* T_n^{t+\Delta t}}{C_p \overline{m}} - L^{imp} T_n^{t + \Delta t}
-\right\} \notag
-\end{align}
-%
-We first describe the known terms on the left hand side. The
-horizontal advection $\mathbf{v}_n^t\cdot \nabla T_n^t$ is
-calculated similar to the horizontal advection in the momentum
-equation in chapter \ref{cap:duv} equation
-(\ref{eq:duv_horiz_advec})
-and following. \\
-
- The advection term is calculated in the
-\src{subroutine advec} by taking the fourth order stencil for the
-derivative. The average velocity is denoted by
-$u_n^{avg}(\phi,\lambda) = \frac{1}{2} (u_n(\phi+\Delta
-\phi,\lambda) + u_n (\phi-\Delta \phi,\lambda))$ and $u_n^{2
-avg}(\phi,\lambda)  = \frac{1}{2} (u_n(\phi+2\Delta \phi,\lambda) +
-u_n (\phi-2\Delta \phi,\lambda))$. The same is done for the
-meridional velocity $v_n$ which leads to $v_n^{avg}(\phi,\lambda)  =
-\frac{1}{2} (v_n(\phi,\lambda + \Delta \lambda) + v_n (\phi,\lambda
-- \Delta \lambda))$ and $v_n^{2 avg}(\phi,\lambda)  = \frac{1}{2}
-(v_n(\phi,\lambda + 2 \Delta \lambda) + v_n (\phi,\lambda - 2 \Delta
-\lambda))$. The horizontal advection of the neutral temperature is
-%
-\begin{align}
- \mathbf{v}_n^t\cdot \nabla T_n^t = &
-  \frac{1}{R_E cos \lambda} ( \frac{2}
-   {3 \Delta \phi}u_n^{avg}(\phi,\lambda) \left[
-   T_n^t(\phi+\Delta \phi,\lambda) - T_n^t(\phi-\Delta \phi,\lambda)  \right]
-- \notag \\
-    {} & \frac{1}{12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
-   T_n^t(\phi+2\Delta \phi,\lambda) - T_n^t(\phi-2\Delta \phi,\lambda)  \right]
-   )+ \notag \\
-   {}&
-   \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}v_n^{avg}(\phi,\lambda) \left[
-   T_n^t(\phi,\lambda + \Delta \lambda) - T_n^t(\phi,\lambda - \Delta \lambda)  \right]
-- \notag \\
-    {}& \frac{1}{12 \Delta \lambda}v_n^{2avg}(i,j) \left[
-   T_n^t(\phi,\lambda + 2 \Delta \lambda) -
-T_n^t(\phi,\lambda - 2 \Delta \lambda)  \right] )
-\end{align}
-%
-in unit of $[\frac{K}{s}]$ the values are determined at midpoints. \\
-%
-
-The vertical advection term $W^{t+\Delta t}\frac{\partial
-T_n}{\partial Z}$ is calculated by
-%
-\begin{align}
-  \frac{1}{2 \Delta z}( W^{t+\Delta t}(z)\left[ T_n^t(z+\frac{1}{2}
-\Delta z) -
-  T_n^t(z-\frac{1}{2}\Delta z) \right]+ \notag \\
-       W^{t+\Delta t}(z+\Delta z)\left[ T_n^t(z+\frac{3}{2}\Delta z) -
-       T_n^t(z+\frac{1}{2}\Delta z) \right] )
-       = \notag \\
-  \frac{1}{2} \left[ W^{t+\Delta t}(z) \frac{\partial T_n^t(z)}{\partial Z}+
-                            W^{t+\Delta t}(z+\Delta z)\frac{\partial T_n^t(z+\Delta z)}{\partial Z}
-                            \right] = \notag \\
-          W^{avg, t+\Delta t}(z+\frac{1}{2}\Delta z)
-          \frac{\partial T_n^{avg,t}(z+\frac{1}{2}\Delta z)}{\partial Z}
-\end{align}
-%
-It takes the average between the values at the level $z$ and
-$z+\Delta z$. Note that $T_n$ is on the midpoints levels
-$z+\frac{1}{2}\Delta z$ etc. The vertical advection is determined at
-midpoints and has the units $[\frac{K}{s}]$. \\
-%
-The next term is from the time derivative of the neutral temperature
-$-\frac{T_n^{t- \Delta t,smo}}{2 \Delta t}$. The smoothed value is
-calculated similar as in the momentum equation in chapter
-\ref{cap:duv} in equation (\ref{eq:duv_shapiro}).
-%
-\begin{align}
-  f^{smooth}_{merid} = & f(\phi,\lambda) - c_{shapiro} (  f(\phi,\lambda+2\Delta \lambda) +
-  f(\phi,\lambda-2\Delta \lambda) - \notag \\
-{} & 4 \left[ f(\phi,\lambda+\Delta \lambda) + f(\phi,\lambda-\Delta
-\lambda) \right]+
-  6 f(\phi,\lambda) ) \\
-  f^{smooth}_{zonal} = & f^{smooth}_{merid} -c_{shapiro} (  f^{smooth}_{merid}(\phi+2 \Delta \phi,\lambda) +
-  f^{smooth}_{merid}(\phi-2\Delta \phi,\lambda) - \notag \\
-{} & 4 \left[ f^{smooth}_{merid}(\phi+\Delta \phi,\lambda)
-  + f^{smooth}_{merid}(\phi-\Delta \phi,\lambda)  \right]+
-  6 f^{smooth}_{merid}(\phi,\lambda) ) \label{eq:dt_shapiro}
-\end{align}
-%
-with $f = T_n^{t-\Delta t}$ which leads to $T_n^{t-\Delta t,smo}$.
-\\
-
-%
-The heating terms are added together. First the terms from the heating caused by
- solar radiation, which are calculated in \src{subroutine qrj}.
-%
-\begin{align}
-  Q_{solar} = Q_{EUV} + Q_{SchR} + Q_o \\
-\end{align}
-%
-with $Q_{Solar}(z+\frac{1}{2}\Delta z)=
-\frac{1}{2}[Q_{Solar}(z)+Q_{Solar}(z+\Delta z)]$ to calculate the
-value on the midpoint level $z+\frac{1}{2}\Delta z$. The solar
-radiation has contributions from the EUV and from the Schuman--Runge
-bands and continuum.
-%
-\begin{align}
-  Q = Q_{Solar} + 1.5 Q_{JH} + h_{d,T} + Q_{OR} + Q_{md}\\
-\end{align}
-%
-with the Joule heating term denoted by $Q_{JH}$ which is multiplied
-by 1.5 to take the heating due to the small scale electric field
-into account.  \\
-
-%
-The heating due to the recovery of $O_2$ dissociation energy when atomic oxygen
-recombines in the lower thermosphere is
-%
-\begin{align}
-  Q_{OR} = f_T r_{km} \frac{N_A}{\overline{m}}\left[
-   \frac{p_0 e^{-z}\overline{m}}{k_B T_n} \frac{\Psi_o}{m_o}
-   \right]^2
-\end{align}
-%
-with the Boltzman constant $k_B = 1.38 \cdot 10^{-16}\frac{cm^2
-g}{s^2 K}$, and $f_T = 5.11 eV = 5.11 \cdot 1.602 \cdot 10^{-12}
-ergs$, which is the surplus heating and set in \src{subroutine cons}.
-The loss of O to $O_2$ is captured by
-$r_{km}$ and set in the source code file \src{chemrates.F} according to Dickinson et al. 1984.\\
-
-% begin Alan_Burns_4/09 see get_documents/aburns_4209_qandltiegcm.doc
-The photoeletron heating is determined by
-%
-\begin{align}
-  Q_{photo} = q_{ionize} 0.05 \times 35. N_A  \frac{1.602\cdot 10^{-12}}{\bar{m}}  
-\end{align}
-%
-where  $q_{ionize}$ is the ionization rate.
-%
-\\
-The heating resulting from ion chemistry is of the type
-%
-\begin{align}
-  Q_{i}^{chem} = N_A 1.602\cdot 10^{-12}n_{neutral}r_k n_i q_{heat}  
-\end{align}
-%
-where $n_{neutral}$ is the number density of the neutral species, $n_i$ is the
-number density of the ion species, $r_k$ is the reaction rate, and $q_{heat}$ is
-the heat emitted by the reaction.
-%
-\\
-The heating resulting from neutral chemistry of the minor species is
-%
-\begin{align}
-  Q_{i}^{chem} = N_A 1.602\cdot 10^{-12}n_{neutral}\beta n_{neutral} q_{heat}  
-\end{align}
-%
-where $\beta$ is the reaction rate.
-%
-\\
-The heating from electron-neutral and electron-ion collisions are
-%
-\begin{align}
-  Q_{en}^{chem} = L_{en}(T_e-T_n) \frac{N_A}{\bar{m}} \\
-  Q_{ei}^{chem} = L_{ei}(T_e-T_i) \frac{N_A}{\bar{m}} 
-\end{align}
-%
-\\
-The loss term due to NO cooling is
-%
-\begin{align}
-  L_{NO} = 4.956 \cdot 10^{-12} N_A n_{NO}\frac{ANO}{ANO + 13.3} e^{\frac{-2700}{Tn}}
-\end{align}
-%
-where $ANO = \bar{m} N_A 5 \cdot 10^{-4} e^{-z}(6.5 \cdot 10^{-11}\frac{n_o}{m_o} +
-2.4 \cdot 10^{-14}\frac{n_{o2}}{m_{o2}})/(R T_n)$
-%
-\\
-The loss due to $CO_2$ cooling is
-%
-\begin{align}
-  L_{CO2_{cool}} = 2.65 \cdot 10^{-13} n_{CO2} e^{\frac{-960}{T_n}} N_A 
-     ((\frac{n_{O2}}{m_{O2}} + \frac{n_{N2}}{m_{N2}})ACO2 + \frac{n_{O}}{m_{O}} BCO2)
-\end{align}
-%
-where 
-%
-\begin{align}
-   ACO2 = & 2.5 \cdot 10^{-15} & \quad T_n < 200 K \notag \\
-   {}     &2.5 \cdot 10^{-15}(1+0.03(T_n-200))& \quad T_n > 200 K \notag \\
-   BCO2 = & 1.\cdot 10^{-12} & \quad  T_n < 300 K  \notag\\
-   {}     &1.\cdot 10^{-12}\frac{T_n}{300}& \quad T_n > 300 K \notag 
-\end{align}
-%
-\\
-The loss due to $O(^3P)$ cooling is
-%
-\begin{align}
-  L_{O(^3P)_{cool}} = \frac{ANO3P(1) \times XO(k) \frac{N_A}{m_o} n_o
-  e^{\frac{-BNO3P(1)}{T_n}}}{1+ANO3P(2) e^{\frac{-BNO3P(2)}{T_n}}+ANO3P(3)
-  e^{\frac{-BNO3P(3)}{T_n}}}
-\end{align}
-%
-with $XO$ is a pressure level dependent set of coefficients. $XO = (3 \times 0.01,
-0.05,0.1,0.2,0.4,0.55,0.7,0.75,15\times 0.0)$. $ANO3P$ is a 3 element array of
-constants $ANO3P = (1.67 \cdot 10^{-18},0.6,0.2)$. $BNO3P$ is a three element array
-of constants $BNO3P = (228,228,325)$.
-% end Alan_Burns_4/09 s. get_documents/aburns_4209_qandltiegcm.doc
-\\
-
-The heating due to molecular diffusion is determined by
-%
-\begin{align}
-  Q_{md} = \frac{g^2 \overline{m} K_m^{mid}}{p_0 R^* e^{-z} T_n^t}
-  \left\{ \left(\frac{\partial u_n}{\partial Z}\right)^2 +
-  \left(\frac{\partial v_n}{\partial Z}\right)^2 \right\} = \\
-  \frac{e^z g \overline{m} K_m^{mid}}{p_0 H}
-  \left\{ \left(\frac{\partial u_n}{\partial Z}\right)^2 +
-  \left(\frac{\partial v_n}{\partial Z}\right)^2 \right\}
-\end{align}
-%
-with the gas constant $R^*$ and
-$\frac{1}{H}= \frac{g \overline{m}}{R^* T_n}$. The vertical change
-in the neutral velocity is calculated by
-%
-\begin{align}
-  \frac{d u_n}{d Z}(z + \frac{1}{2}\Delta z) = \frac{u_n(z + \frac{3}{2}\Delta z ) -
-                                               u_n(z - \frac{1}{2}\Delta z )}{2 \Delta
-                                               z} \\
-  \frac{d v_n}{d Z}(z + \frac{1}{2}\Delta z) = \frac{v_n(z + \frac{3}{2}\Delta z ) -
-                                               v_n(z - \frac{1}{2}\Delta z )}{2 \Delta
-                                               z}
-\end{align}
-%
-At the lower boundary the derivative is determined by
-%
-\begin{align}
-  \frac{d u_n}{d Z}(z_{LB}) = \frac{1}{\Delta z}\left( u_n(z_{LB} + \frac{1}{2}\Delta z)
-        + \frac{1}{3} u_n(z_{LB} + \frac{3}{2}\Delta z) -
-        \frac{4}{3} u_n(z_{LB})\right) \\
-  \frac{d v_n}{d Z}(z_{LB}) = \frac{1}{\Delta z}\left( v_n(z_{LB} + \frac{1}{2}\Delta z)
-        + \frac{1}{3} v_n(z_{LB} + \frac{3}{2}\Delta z) -
-        \frac{4}{3} v_n(z_{LB})\right)
-\end{align}
-%
-At the top the derivatives are set to
-%
-\begin{align}
-  \frac{d u_n}{d Z}(z_{top}-\Delta z) = \frac{1}{3}\frac{d u_n}{d Z}(z_{top}-2 \Delta z) \\
-  \frac{d v_n}{d Z}(z_{top}-\Delta z) = \frac{1}{3}\frac{d v_n}{d Z}(z_{top}-2 \Delta z)
-\end{align}
-%
-\\
-
-All the terms of the right hand side are added together which leads
-to
-%
-\begin{align}
- RHS = \frac{C_p}{e^z} \left[ \mathbf{v}_n^t \cdot \nabla T_n^t + W^{t+\Delta t}
-      \frac{\partial T}{\partial Z} - \frac{1}{2 \Delta t} T_n^{t-\Delta t,smo}
-      \right] - e^{-z} Q^{exp} + L^{exp}
-\end{align}
-%
-
-Next we discuss the terms on the left hand side starting with the
-second derivative terms  $\frac{\partial}{\partial Z} \left\{
-  \frac{g}{H p_0} \left( \frac{K_T}{H} + K_E H^2 C_p \rho \right)
-  \frac{\partial T_n^{t+\Delta t}}{\partial Z}
-  \right\}$. In the source code and in this description we
-  substitute for simplicity $g_c = \frac{g}{H p_0} \left( \frac{K_T}{H} +
-  K_E H^2 C_p \rho \right)$. First the mass density $\rho$ and the
-  scale height $H$ are calculated.
-The neutral temperature at the interface level is
-%
-\begin{align}
-  T_n^t(z) = \frac{1}{2}\left[ T_n^t(z - \frac{1}{2}\Delta z) +  T_n^t(z + \frac{1}{2}\Delta z)\right]
-\end{align}
-%
-and the scale height $H$ is
-%
-\begin{align}
-  H(z)= \frac{R^* T_n^t(z)}{\overline{m}(z) g}
-\end{align}
-%
-and the mass density $\rho$
-%
-\begin{align}
-  \rho(z)= \frac{p_0 e^{-z} \overline{m}(z)}{e^{-0.5 \Delta z} R^*
-  T_n^t(z)} =\frac{p}{H(z) g}
-\end{align}
-%
-with the pressure $p = p_0 e^{-\int_o^z dz'/H}$. At the boundaries
-the values are set to
-%
-\begin{align}
-  T_n^{t}(z_{LB}) = & \; T_{n,LB}^{t} \\
-  T_n^{t}(z_{top}) = & \; T_{n}^{t}(z_{top}-\frac{1}{2}\Delta z) \\
-  g H(z_{LB}) = & \; \frac{R T_n^{t}(z_{LB})}{\overline{m}(z_{LB})} \\
-  g H(z_{top}) = & \; \frac{R^* T_n^{t}(z_{top})}{\overline{m}(z_{top})} \\
-  \rho_{LB} = &  \; \frac{p_0 e^{-z_{LB}} }{e^{-0.5 \Delta z}} \frac{1}{H(z_{LB})
-  g} \\
-  \rho_{top} = &  \; \frac{p_0 e^{-z_{top}} }{e^{-0.5 \Delta z}} \frac{1}{H(z_{top})
-  g}
-\end{align}
-%
-The second derivative $\frac{\partial}{\partial Z}\left\{ g_c
-\frac{\partial T_n^{t+\Delta t}}{\partial Z}\right\}$ is
-approximated at midpoint level by
-%
-\begin{align}
-  \frac{\partial}{\partial Z} \left\{ g_c \frac{\partial T_n^{t+\Delta t}}
-     {\partial Z}(z+\frac{1}{2}\Delta z)\right\} \approx &
-    \frac{1}{\Delta z^2} [
-     T_n^{t+\Delta t}(z-\frac{1}{2}\Delta z) g_c(z) + \notag \\
-   {} & T_n^{t+\Delta
-     t}(z+\frac{1}{2}\Delta z)\left\{ -g_c(z+\Delta z)- g_c(z)\right\}
-     + \notag \\
-  {} & T_n^{t+\Delta t}(z+\frac{3}{2}\Delta z)g_c(z+\Delta z)
-     ]
-\end{align}
-%
-Note that $g_c$ are calculated at the interface levels $z, z+\Delta
-z ...$ and the neutral temperature is on the midpoint level. For a
-derivation of the discrete second order derivative we refer to
-chapter \ref{cap:duv} equation (\ref{eq:duv_2ndderiv}). \\
-%
-The first order derivative $\frac{\partial}{\partial Z} \left\{
-\frac{g^2}{p_0}\frac{K_E H^2 \rho}{T_n^t} T_n^{t+\Delta t} \right\}$
-is expanded by $\frac{T_n^{t+\Delta t}}{T_n^t}$. The term
-$\frac{g^2}{p_0}\frac{K_E H^2 \rho}{T_n^t}$ is substituted by $f_c$
-with $f$ in the source code denotes $f= \frac{f_c}{2 \Delta z}$. The
-first order derivative is determined by
-%
-\begin{align}
-   \frac{\partial}{\partial Z} \left\{ f_c  T_n^{t+\Delta
-    t} \right\}(z+\frac{1}{2}\Delta z) \approx &
-    \frac{1}{2 \Delta z}
-   [ -T_n^{t+\Delta t}(z - \frac{1}{2} \Delta z)f_c(z)+ \notag \\
-  {} & T_n^{t+\Delta t}(z+ \frac{1}{2}\Delta z)\left\{ f_c(z+ \Delta z) -
-     f_c(z) \right\} + \notag \\
-   {} & T_n^{t+\Delta t}(z+\frac{3}{2}\Delta
-z)f_c(z+\Delta z) ]
-\end{align}
-%
-Note that $f_c$ is on the interface level, and the neutral
-temperature on the midpoint level. The first order derivative
-derived from
-%
-\begin{align}
- \frac{\partial f T_n^{t+\Delta t}}{\partial Z}(z+\frac{1}{2}\Delta z) =
- \frac{f(z+\Delta z)T_n^{t+\Delta t}(z+\Delta z) -
-       f(z)T_n^{t+\Delta t}(z) }{\Delta z}
-\end{align}
-%
-with the values at the interface level $T_n^{t+\Delta t}(z)=
-\frac{1}{2} (T_n^{t+\Delta t}(z-\frac{1}{2}\Delta z)+ T_n^{t+\Delta
-t}(z+\frac{1}{2}\Delta z))$ and $T_n^{t+\Delta t}(z+\Delta z)=
-\frac{1}{2} (T_n^{t+\Delta t}(z+\frac{3}{2}\Delta
-z)T_n^{t+\Delta t}(z+\frac{1}{2}\Delta z))$. \\
-%
-The tridiagonal solver need the equation in the following form:
-%
-\begin{align}
-P(k,i) T_n^{t+\Delta t}(k-1,i) + & Q(k,i) T_n^{t+\Delta t}(k,i)+ \notag \\
- {} & R(k,i) T_n^{t+\Delta t}(k+1,i) = RHS(k,i)
-\end{align}
-%
-with the height index $k$ for $z+\frac{1}{2}\Delta z$, $k+1$ for
-$z+\frac{3}{2}\Delta z$, and $k-1$ for $z-\frac{1}{2}\Delta z$. The
-longitude index is denoted by $i$. Note that the equation is solved
-at each latitude $\lambda$ with the index $j$. \\
-%
-The left hand side terms discussed above are sorted according to the
-height index which leads to
-%
-\begin{align}
-  P(k,i) = & \; g_c(k,i)-f_c(k,i) \\
-  Q^*(k,i) = & \; -g_c(k+1,i)-g_c(k,i)-f_c(k,i)+f(k+1,i) \\
-  R = & \; g_c(k+1,i) + f(k+1,i)
-\end{align}
-%
-At the upper boundary the values are set to
-%
-\begin{align}
-  R(z_{top}-\frac{1}{2} \Delta z)= & \; 0 \\
-  P(z_{top}-\frac{1}{2} \Delta z) = & \; g_c(z_{top}-\frac{1}{2} \Delta z)-f(z_{top}-\frac{1}{2} \Delta z) \\
-  Q(z_{top}-\frac{1}{2} \Delta z) = & \; -g_c(z_{top}-\frac{1}{2} \Delta z)-f(z_{top}-\frac{1}{2} \Delta z)
-\end{align}
-%
-The right hand side is
-%
-\begin{align}
-  RHS = & C_p^{mid} e^{-z} \left[ \mathbf{v}_n^t \nabla T_n^{t} + w^{t+\Delta t \frac{\partial T_n^t}{\partial Z}} -
-       \frac{1}{2 \Delta t} T_n^{t-\Delta t,smo} \right] - \notag \\
-   {} & e^{-z}
-       Q^{exp}+ L^{exp}
-\end{align}
-%
-At the height level $k$ the following terms are added to $Q$
-%
-\begin{align}
-  Q(k,i) = Q^*(k,i) + e^{-z} C_p^{mid}\left\{ \frac{1}{2 \Delta t} + L^{imp}
-  \right\} + w^{mid}\frac{R}{\overline{m}}
-\end{align}
-%
-with the values at the midpoint level $C_p^{mid}(z+\frac{1}{2}
-\Delta z) = C_p(z) + C_p(z + \Delta z)$ and $w^{mid}(z+\frac{1}{2} 
-\Delta z) = w(z) + w(z+\Delta z)$. At the lower boundary the
-following condition is used
-%
-\begin{align}
-  P(z_{bot}-\frac{1}{2}\Delta z) T_n(z_{bot}-\frac{1}{2}\Delta z) = & \;
-                   2 P(z_{bot}) T_n(z_{LB}) - P(z_{bot}+\frac{1}{2}\Delta z)
-  T_n(z_{bot}+\frac{1}{2}\Delta z) \\
-  P(z_{bot}+\frac{1}{2} \Delta z) = & \;  0
-\end{align}
-%
-with $z_{bot}+\frac{1}{2} \Delta z$ corresponding to the midpoint
-level and the height index $k=1$. $P(z_{bot})$ is set to
-$P(z_{bot}+\frac{1}{2} \Delta z)$, and $T_n(z_{bot})$ is equal to
-the lower boundary with the value $T_n(z_{LB})$. This which leads to
-%
-\begin{align}
-  Q^*(z_{bot}+\frac{1}{2} \Delta z) = & \; Q(z_{bot}+\frac{1}{2} \Delta z) - P(z_{bot}+\frac{1}{2} \Delta z) \\
-  RHS^*(z_{bot}+\frac{1}{2} \Delta z) = & \; RHS(z_{bot}+\frac{1}{2} \Delta z) - 2P(z_{bot}+\frac{1}{2} \Delta z) T_n^t(z_{LB}) \\
-  P^*(z_{bot}+\frac{1}{2} \Delta z) = & \; 0
-\end{align}
-%
-Solving for the neutral temperature at each latitude leads to the
-updated neutral temperature $T_n^{upd, t_n+\Delta t}$ at the
-midpoints. The lower boundary of the neutral temperature is stored
-at the top level with the height index $nlev + 1$ which is above the
-upper boundary of the model with pressure level $-7$ . Note that the
-lower boundary is at pressure level $-7$ which is $z_{bot}$ or
-$z_{LB}$, however all the other values of the neutral temperature
-are on the midpoints which means at the pressure levels $ -6.75,
--6.25, -5.75 ....5.75, 6.25, 6.75$. The calculated values for the
-neutral temperature $T_n^{upd, t + \Delta t}$ are smoothed by a Fast
-Fourier transformation. All the wave numbers larger than a
-predefined value at each latitude are removed. The wave numbers are
-defined in the module \src{cons.F}. The values of the neutral
-temperature at the timestep $t_n$ are also updated by using
-%
-\begin{align}
-  T_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(T_n^{t-\Delta t}+
-     T_{n,smo}^{upd,t+\Delta t}) + c_{smo}T_n^t
-\end{align}
-%
-with $c_{smo} = 0.95$
+%
+\section{Thermodynamic equation \index{DT.F}}\label{cap:dt}
+%
+The input to \src{subroutine dt} is summarized in table
+\ref{tab:input_dt}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t_n-\Delta t$\\
+neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
+mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
+mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
+mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
+specific heat&       {$C_p$}     & $\frac{erg}{K g}$   & interfaces   &  $t_n$\\
+molecular diffusion&       $k_t$     & $\frac{erg}{cm K s}$   & interfaces  & $t_n$ \\
+molecular viscosity&       $k_m$     & $\frac{g}{cm s}$   & interfaces  & $t_n$ \\
+horizontal diffusion&       {$h_{d,T}$}     & $\frac{cm}{s^2}$   & midpoints  & $t_n-\Delta t$\\
+Joule heating &       {$Q_{J,T}$}     & $\frac{erg}{K\; s}$   & midpoints  &  $t_n$\\
+implicit cooling &       {$L_{imp}$}     & $\frac{1}{s}$   & midpoints  & $t_n$\\
+explicit cooling &       {$L_{exp}$}     & $\frac{erg}{K \; s}$   & midpoints  & $t_n$\\
+dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   &
+interfaces& $t+\Delta t$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine dt}} \label{tab:input_dt}
+\end{table}
+%
+The output of \src{subroutine dt} is summarized in table
+\ref{tab:output_dt}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+neutral temperature    &       {$T_n^{upd,t+\Delta t}$}     & $K$   & midpoints  & $t_n+\Delta t$ \\
+neutral temperature     &       {$T_n^{upd,t}$}     & $K$   &
+midpoints & $t_n$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine dt}} \label{tab:output_dt}
+\end{table}
+%
+%
+The module data of \src{subroutine dt} is summarized in table
+\ref{tab:module_dt}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline heating from solar radiation    &
+{$Q_{qrj}$}     & $\frac{erg}{K \; s}$   & interfaces  & $t_n$
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine dt}} \label{tab:module_dt}
+\end{table}
+%
+The thermodynamic equation is solved to get the neutral temperature
+%
+\begin{align}
+  \frac{\partial T_n}{\partial t} = & \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
+  \left\{ \frac{K_T}{H} \frac{\partial T_n}{\partial Z} + K_E H^2 C_p \rho \left[
+   \frac{g}{C_p} + \frac{1}{H}\frac{\partial T}{\partial
+   Z}\right]\right\} - \mathbf{v}_n\cdot \nabla T_n - \notag  \\
+   {}&  W \left(
+   \frac{\partial T_n}{\partial Z} + \frac{R^* T_n}{C_p \overline{m}}
+   \right) + \frac{Q^{exp}-e^z \; L^{exp}}{C_p} - L^{imp} \label{eq:dt_1}
+\end{align}
+%
+with $T_n$ the neutral temperature, $t$ the time, $g$ the
+gravitational acceleration, $C_p$ the specific heat per unit mass,
+$p_0 $ the reference pressure, $K_T$ is the molecular thermal
+conductivity, $H$ is the pressure scale height, $K_E$ is the eddy
+diffusion coefficient, $\rho$ is the atmospheric mass density,
+$\mathbf{v}_n$ is the horizontal neutral velocity with the zonal and
+meridional components $u_n$ and $v_n$, $W$ is the dimensionless
+vertical velocity given by $W = \frac{dZ}{dt}$, $R^*$ is the
+universal gas constant, $\overline{m}$ is the mean atmospheric mass,
+and $Q$
+and $L$ are the other heating and cooling terms
+\cite{roble1995},\cite{roble1987b}. \\
+%
+The local time variation of the neutral temperature is determined by
+the heating and cooling terms on the right hand side of the
+thermodynamic equation. The first term is the heat transfer by
+vertical molecular heat conduction and adiabatic heating or cooling
+due to eddy diffusion. The second term is the heat transfer due to
+horizontal advection, and the third term is the adiabetic heating
+and cooling caused by the vertical winds. The last terms in equation 
+(\ref{eq:dt_1}) account
+for all the other heating and cooling terms. \\
+
+%
+To make it more easy to compare with the code we write the
+thermodynamic equation with implicit and explicit terms
+%
+\begin{align}
+  \frac{T_n^{t+\Delta t}- T_n^{t- \Delta t}}{2 \Delta t} =&
+   \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
+  \left\{ \left( \frac{K_T}{H} + \frac{K_E H^2 C_p \rho}{H} \right)
+  \frac{\partial T_n^{t+\Delta t}}{\partial Z}\right\} + \notag \\
+  {}& \frac{g e^z}{p_0 C_p}\frac{\partial}{\partial Z}
+  \left\{K_E H^2 C_p
+   \frac{g}{C_p}\right\} - \mathbf{v}_n^t\cdot \nabla T_n^t - \\
+   {}& W^{t+\Delta t}\frac{\partial T_n}{\partial Z}
+    - W^{t+\Delta t}\frac{R^* T_n^{t+\Delta t}}{C_p \overline{m}}
+    + \frac{Q^{exp}}{C_p}- \frac{e^z \; L^{exp}}{C_p}- L^{imp} T_n^{t + \Delta t}
+    \notag
+\end{align}
+%
+The terms are ordered now by left and right hand side, and the whole
+equation is multiplied by $\frac{C_p}{e^z}$.
+%
+\begin{align}
+  & \frac{C_p}{e^z} \left\{ -\frac{T_n^{t- \Delta t,smo}}{2 \Delta t} +
+  \mathbf{v}_n^t\cdot \nabla T_n^t + W^{t+\Delta t}\frac{\partial T_n}{\partial Z}
+  - \frac{Q^{exp}-e^z \; L^{exp}}{C_p} \right\} = \notag \\
+  & \frac{\partial}{\partial Z} \left\{
+  \frac{g}{H p_0} \left( \frac{K_T}{H} + K_E H^2 C_p \rho \right)
+  \frac{\partial T_n^{t+\Delta t}}{\partial Z}
+  \right\} + \\
+  & \frac{\partial}{\partial Z} \left\{ \frac{g^2}{p_0}\frac{K_E H^2 \rho}
+  {T_n^t} T_n^{t+\Delta t} \right\}
+  + \frac{C_p}{e^z}\left\{ - \frac{T_n^{t+ \Delta t}}{2 \Delta t} - w^{t+\Delta t}
+  \frac{R^* T_n^{t+\Delta t}}{C_p \overline{m}} - L^{imp} T_n^{t + \Delta t}
+\right\} \notag
+\end{align}
+%
+We first describe the known terms on the left hand side. The
+horizontal advection $\mathbf{v}_n^t\cdot \nabla T_n^t$ is
+calculated similar to the horizontal advection in the momentum
+equation in chapter \ref{cap:duv} equation
+(\ref{eq:duv_horiz_advec})
+and following. \\
+
+ The advection term is calculated in the
+\src{subroutine advec} by taking the fourth order stencil for the
+derivative. The average velocity is denoted by
+$u_n^{avg}(\phi,\lambda) = \frac{1}{2} (u_n(\phi+\Delta
+\phi,\lambda) + u_n (\phi-\Delta \phi,\lambda))$ and $u_n^{2
+avg}(\phi,\lambda)  = \frac{1}{2} (u_n(\phi+2\Delta \phi,\lambda) +
+u_n (\phi-2\Delta \phi,\lambda))$. The same is done for the
+meridional velocity $v_n$ which leads to $v_n^{avg}(\phi,\lambda)  =
+\frac{1}{2} (v_n(\phi,\lambda + \Delta \lambda) + v_n (\phi,\lambda
+- \Delta \lambda))$ and $v_n^{2 avg}(\phi,\lambda)  = \frac{1}{2}
+(v_n(\phi,\lambda + 2 \Delta \lambda) + v_n (\phi,\lambda - 2 \Delta
+\lambda))$. The horizontal advection of the neutral temperature is
+%
+\begin{align}
+ \mathbf{v}_n^t\cdot \nabla T_n^t = &
+  \frac{1}{R_E cos \lambda} ( \frac{2}
+   {3 \Delta \phi}u_n^{avg}(\phi,\lambda) \left[
+   T_n^t(\phi+\Delta \phi,\lambda) - T_n^t(\phi-\Delta \phi,\lambda)  \right]
+- \notag \\
+    {} & \frac{1}{12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
+   T_n^t(\phi+2\Delta \phi,\lambda) - T_n^t(\phi-2\Delta \phi,\lambda)  \right]
+   )+ \notag \\
+   {}&
+   \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}v_n^{avg}(\phi,\lambda) \left[
+   T_n^t(\phi,\lambda + \Delta \lambda) - T_n^t(\phi,\lambda - \Delta \lambda)  \right]
+- \notag \\
+    {}& \frac{1}{12 \Delta \lambda}v_n^{2avg}(i,j) \left[
+   T_n^t(\phi,\lambda + 2 \Delta \lambda) -
+T_n^t(\phi,\lambda - 2 \Delta \lambda)  \right] )
+\end{align}
+%
+in unit of $[\frac{K}{s}]$ the values are determined at midpoints. \\
+%
+
+The vertical advection term $W^{t+\Delta t}\frac{\partial
+T_n}{\partial Z}$ is calculated by
+%
+\begin{align}
+  \frac{1}{2 \Delta z}( W^{t+\Delta t}(z)\left[ T_n^t(z+\frac{1}{2}
+\Delta z) -
+  T_n^t(z-\frac{1}{2}\Delta z) \right]+ \notag \\
+       W^{t+\Delta t}(z+\Delta z)\left[ T_n^t(z+\frac{3}{2}\Delta z) -
+       T_n^t(z+\frac{1}{2}\Delta z) \right] )
+       = \notag \\
+  \frac{1}{2} \left[ W^{t+\Delta t}(z) \frac{\partial T_n^t(z)}{\partial Z}+
+                            W^{t+\Delta t}(z+\Delta z)\frac{\partial T_n^t(z+\Delta z)}{\partial Z}
+                            \right] = \notag \\
+          W^{avg, t+\Delta t}(z+\frac{1}{2}\Delta z)
+          \frac{\partial T_n^{avg,t}(z+\frac{1}{2}\Delta z)}{\partial Z}
+\end{align}
+%
+It takes the average between the values at the level $z$ and
+$z+\Delta z$. Note that $T_n$ is on the midpoints levels
+$z+\frac{1}{2}\Delta z$ etc. The vertical advection is determined at
+midpoints and has the units $[\frac{K}{s}]$. \\
+%
+The next term is from the time derivative of the neutral temperature
+$-\frac{T_n^{t- \Delta t,smo}}{2 \Delta t}$. The smoothed value is
+calculated similar as in the momentum equation in chapter
+\ref{cap:duv} in equation (\ref{eq:duv_shapiro}).
+%
+\begin{align}
+  f^{smooth}_{merid} = & f(\phi,\lambda) - c_{shapiro} (  f(\phi,\lambda+2\Delta \lambda) +
+  f(\phi,\lambda-2\Delta \lambda) - \notag \\
+{} & 4 \left[ f(\phi,\lambda+\Delta \lambda) + f(\phi,\lambda-\Delta
+\lambda) \right]+
+  6 f(\phi,\lambda) ) \\
+  f^{smooth}_{zonal} = & f^{smooth}_{merid} -c_{shapiro} (  f^{smooth}_{merid}(\phi+2 \Delta \phi,\lambda) +
+  f^{smooth}_{merid}(\phi-2\Delta \phi,\lambda) - \notag \\
+{} & 4 \left[ f^{smooth}_{merid}(\phi+\Delta \phi,\lambda)
+  + f^{smooth}_{merid}(\phi-\Delta \phi,\lambda)  \right]+
+  6 f^{smooth}_{merid}(\phi,\lambda) ) \label{eq:dt_shapiro}
+\end{align}
+%
+with $f = T_n^{t-\Delta t}$ which leads to $T_n^{t-\Delta t,smo}$.
+\\
+
+%
+The heating terms are added together. First the terms from the heating caused by
+ solar radiation, which are calculated in \src{subroutine qrj}.
+%
+\begin{align}
+  Q_{solar} = Q_{EUV} + Q_{SchR} + Q_o \\
+\end{align}
+%
+with $Q_{Solar}(z+\frac{1}{2}\Delta z)=
+\frac{1}{2}[Q_{Solar}(z)+Q_{Solar}(z+\Delta z)]$ to calculate the
+value on the midpoint level $z+\frac{1}{2}\Delta z$. The solar
+radiation has contributions from the EUV and from the Schuman--Runge
+bands and continuum.
+%
+\begin{align}
+  Q = Q_{Solar} + 1.5 Q_{JH} + h_{d,T} + Q_{OR} + Q_{md}\\
+\end{align}
+%
+with the Joule heating term denoted by $Q_{JH}$ which is multiplied
+by 1.5 to take the heating due to the small scale electric field
+into account.  \\
+
+%
+The heating due to the recovery of $O_2$ dissociation energy when atomic oxygen
+recombines in the lower thermosphere is
+%
+\begin{align}
+  Q_{OR} = f_T r_{km} \frac{N_A}{\overline{m}}\left[
+   \frac{p_0 e^{-z}\overline{m}}{k_B T_n} \frac{\Psi_o}{m_o}
+   \right]^2
+\end{align}
+%
+with the Boltzman constant $k_B = 1.38 \cdot 10^{-16}\frac{cm^2
+g}{s^2 K}$, and $f_T = 5.11 eV = 5.11 \cdot 1.602 \cdot 10^{-12}
+ergs$, which is the surplus heating and set in \src{subroutine cons}.
+The loss of O to $O_2$ is captured by
+$r_{km}$ and set in the source code file \src{chemrates.F} according to Dickinson et al. 1984.\\
+
+% begin Alan_Burns_4/09 see get_documents/aburns_4209_qandltiegcm.doc
+The photoeletron heating is determined by
+%
+\begin{align}
+  Q_{photo} = q_{ionize} 0.05 \times 35. N_A  \frac{1.602\cdot 10^{-12}}{\bar{m}}  
+\end{align}
+%
+where  $q_{ionize}$ is the ionization rate.
+%
+\\
+The heating resulting from ion chemistry is of the type
+%
+\begin{align}
+  Q_{i}^{chem} = N_A 1.602\cdot 10^{-12}n_{neutral}r_k n_i q_{heat}  
+\end{align}
+%
+where $n_{neutral}$ is the number density of the neutral species, $n_i$ is the
+number density of the ion species, $r_k$ is the reaction rate, and $q_{heat}$ is
+the heat emitted by the reaction.
+%
+\\
+The heating resulting from neutral chemistry of the minor species is
+%
+\begin{align}
+  Q_{i}^{chem} = N_A 1.602\cdot 10^{-12}n_{neutral}\beta n_{neutral} q_{heat}  
+\end{align}
+%
+where $\beta$ is the reaction rate.
+%
+\\
+The heating from electron-neutral and electron-ion collisions are
+%
+\begin{align}
+  Q_{en}^{chem} = L_{en}(T_e-T_n) \frac{N_A}{\bar{m}} \\
+  Q_{ei}^{chem} = L_{ei}(T_e-T_i) \frac{N_A}{\bar{m}} 
+\end{align}
+%
+\\
+The loss term due to NO cooling is
+%
+\begin{align}
+  L_{NO} = 4.956 \cdot 10^{-12} N_A n_{NO}\frac{ANO}{ANO + 13.3} e^{\frac{-2700}{Tn}}
+\end{align}
+%
+where $ANO = \bar{m} N_A 5 \cdot 10^{-4} e^{-z}(6.5 \cdot 10^{-11}\frac{n_o}{m_o} +
+2.4 \cdot 10^{-14}\frac{n_{o2}}{m_{o2}})/(R T_n)$
+%
+\\
+The loss due to $CO_2$ cooling is
+%
+\begin{align}
+  L_{CO2_{cool}} = 2.65 \cdot 10^{-13} n_{CO2} e^{\frac{-960}{T_n}} N_A 
+     ((\frac{n_{O2}}{m_{O2}} + \frac{n_{N2}}{m_{N2}})ACO2 + \frac{n_{O}}{m_{O}} BCO2)
+\end{align}
+%
+where 
+%
+\begin{align}
+   ACO2 = & 2.5 \cdot 10^{-15} & \quad T_n < 200 K \notag \\
+   {}     &2.5 \cdot 10^{-15}(1+0.03(T_n-200))& \quad T_n > 200 K \notag \\
+   BCO2 = & 1.\cdot 10^{-12} & \quad  T_n < 300 K  \notag\\
+   {}     &1.\cdot 10^{-12}\frac{T_n}{300}& \quad T_n > 300 K \notag 
+\end{align}
+%
+\\
+The loss due to $O(^3P)$ cooling is
+%
+\begin{align}
+  L_{O(^3P)_{cool}} = \frac{ANO3P(1) \times XO(k) \frac{N_A}{m_o} n_o
+  e^{\frac{-BNO3P(1)}{T_n}}}{1+ANO3P(2) e^{\frac{-BNO3P(2)}{T_n}}+ANO3P(3)
+  e^{\frac{-BNO3P(3)}{T_n}}}
+\end{align}
+%
+with $XO$ is a pressure level dependent set of coefficients. $XO = (3 \times 0.01,
+0.05,0.1,0.2,0.4,0.55,0.7,0.75,15\times 0.0)$. $ANO3P$ is a 3 element array of
+constants $ANO3P = (1.67 \cdot 10^{-18},0.6,0.2)$. $BNO3P$ is a three element array
+of constants $BNO3P = (228,228,325)$.
+% end Alan_Burns_4/09 s. get_documents/aburns_4209_qandltiegcm.doc
+\\
+
+The heating due to molecular diffusion is determined by
+%
+\begin{align}
+  Q_{md} = \frac{g^2 \overline{m} K_m^{mid}}{p_0 R^* e^{-z} T_n^t}
+  \left\{ \left(\frac{\partial u_n}{\partial Z}\right)^2 +
+  \left(\frac{\partial v_n}{\partial Z}\right)^2 \right\} = \\
+  \frac{e^z g \overline{m} K_m^{mid}}{p_0 H}
+  \left\{ \left(\frac{\partial u_n}{\partial Z}\right)^2 +
+  \left(\frac{\partial v_n}{\partial Z}\right)^2 \right\}
+\end{align}
+%
+with the gas constant $R^*$ and
+$\frac{1}{H}= \frac{g \overline{m}}{R^* T_n}$. The vertical change
+in the neutral velocity is calculated by
+%
+\begin{align}
+  \frac{d u_n}{d Z}(z + \frac{1}{2}\Delta z) = \frac{u_n(z + \frac{3}{2}\Delta z ) -
+                                               u_n(z - \frac{1}{2}\Delta z )}{2 \Delta
+                                               z} \\
+  \frac{d v_n}{d Z}(z + \frac{1}{2}\Delta z) = \frac{v_n(z + \frac{3}{2}\Delta z ) -
+                                               v_n(z - \frac{1}{2}\Delta z )}{2 \Delta
+                                               z}
+\end{align}
+%
+At the lower boundary the derivative is determined by
+%
+\begin{align}
+  \frac{d u_n}{d Z}(z_{LB}) = \frac{1}{\Delta z}\left( u_n(z_{LB} + \frac{1}{2}\Delta z)
+        + \frac{1}{3} u_n(z_{LB} + \frac{3}{2}\Delta z) -
+        \frac{4}{3} u_n(z_{LB})\right) \\
+  \frac{d v_n}{d Z}(z_{LB}) = \frac{1}{\Delta z}\left( v_n(z_{LB} + \frac{1}{2}\Delta z)
+        + \frac{1}{3} v_n(z_{LB} + \frac{3}{2}\Delta z) -
+        \frac{4}{3} v_n(z_{LB})\right)
+\end{align}
+%
+At the top the derivatives are set to
+%
+\begin{align}
+  \frac{d u_n}{d Z}(z_{top}-\Delta z) = \frac{1}{3}\frac{d u_n}{d Z}(z_{top}-2 \Delta z) \\
+  \frac{d v_n}{d Z}(z_{top}-\Delta z) = \frac{1}{3}\frac{d v_n}{d Z}(z_{top}-2 \Delta z)
+\end{align}
+%
+\\
+
+All the terms of the right hand side are added together which leads
+to
+%
+\begin{align}
+ RHS = \frac{C_p}{e^z} \left[ \mathbf{v}_n^t \cdot \nabla T_n^t + W^{t+\Delta t}
+      \frac{\partial T}{\partial Z} - \frac{1}{2 \Delta t} T_n^{t-\Delta t,smo}
+      \right] - e^{-z} Q^{exp} + L^{exp}
+\end{align}
+%
+
+Next we discuss the terms on the left hand side starting with the
+second derivative terms  $\frac{\partial}{\partial Z} \left\{
+  \frac{g}{H p_0} \left( \frac{K_T}{H} + K_E H^2 C_p \rho \right)
+  \frac{\partial T_n^{t+\Delta t}}{\partial Z}
+  \right\}$. In the source code and in this description we
+  substitute for simplicity $g_c = \frac{g}{H p_0} \left( \frac{K_T}{H} +
+  K_E H^2 C_p \rho \right)$. First the mass density $\rho$ and the
+  scale height $H$ are calculated.
+The neutral temperature at the interface level is
+%
+\begin{align}
+  T_n^t(z) = \frac{1}{2}\left[ T_n^t(z - \frac{1}{2}\Delta z) +  T_n^t(z + \frac{1}{2}\Delta z)\right]
+\end{align}
+%
+and the scale height $H$ is
+%
+\begin{align}
+  H(z)= \frac{R^* T_n^t(z)}{\overline{m}(z) g}
+\end{align}
+%
+and the mass density $\rho$
+%
+\begin{align}
+  \rho(z)= \frac{p_0 e^{-z} \overline{m}(z)}{e^{-0.5 \Delta z} R^*
+  T_n^t(z)} =\frac{p}{H(z) g}
+\end{align}
+%
+with the pressure $p = p_0 e^{-\int_o^z dz'/H}$. At the boundaries
+the values are set to
+%
+\begin{align}
+  T_n^{t}(z_{LB}) = & \; T_{n,LB}^{t} \\
+  T_n^{t}(z_{top}) = & \; T_{n}^{t}(z_{top}-\frac{1}{2}\Delta z) \\
+  g H(z_{LB}) = & \; \frac{R T_n^{t}(z_{LB})}{\overline{m}(z_{LB})} \\
+  g H(z_{top}) = & \; \frac{R^* T_n^{t}(z_{top})}{\overline{m}(z_{top})} \\
+  \rho_{LB} = &  \; \frac{p_0 e^{-z_{LB}} }{e^{-0.5 \Delta z}} \frac{1}{H(z_{LB})
+  g} \\
+  \rho_{top} = &  \; \frac{p_0 e^{-z_{top}} }{e^{-0.5 \Delta z}} \frac{1}{H(z_{top})
+  g}
+\end{align}
+%
+The second derivative $\frac{\partial}{\partial Z}\left\{ g_c
+\frac{\partial T_n^{t+\Delta t}}{\partial Z}\right\}$ is
+approximated at midpoint level by
+%
+\begin{align}
+  \frac{\partial}{\partial Z} \left\{ g_c \frac{\partial T_n^{t+\Delta t}}
+     {\partial Z}(z+\frac{1}{2}\Delta z)\right\} \approx &
+    \frac{1}{\Delta z^2} [
+     T_n^{t+\Delta t}(z-\frac{1}{2}\Delta z) g_c(z) + \notag \\
+   {} & T_n^{t+\Delta
+     t}(z+\frac{1}{2}\Delta z)\left\{ -g_c(z+\Delta z)- g_c(z)\right\}
+     + \notag \\
+  {} & T_n^{t+\Delta t}(z+\frac{3}{2}\Delta z)g_c(z+\Delta z)
+     ]
+\end{align}
+%
+Note that $g_c$ are calculated at the interface levels $z, z+\Delta
+z ...$ and the neutral temperature is on the midpoint level. For a
+derivation of the discrete second order derivative we refer to
+chapter \ref{cap:duv} equation (\ref{eq:duv_2ndderiv}). \\
+%
+The first order derivative $\frac{\partial}{\partial Z} \left\{
+\frac{g^2}{p_0}\frac{K_E H^2 \rho}{T_n^t} T_n^{t+\Delta t} \right\}$
+is expanded by $\frac{T_n^{t+\Delta t}}{T_n^t}$. The term
+$\frac{g^2}{p_0}\frac{K_E H^2 \rho}{T_n^t}$ is substituted by $f_c$
+with $f$ in the source code denotes $f= \frac{f_c}{2 \Delta z}$. The
+first order derivative is determined by
+%
+\begin{align}
+   \frac{\partial}{\partial Z} \left\{ f_c  T_n^{t+\Delta
+    t} \right\}(z+\frac{1}{2}\Delta z) \approx &
+    \frac{1}{2 \Delta z}
+   [ -T_n^{t+\Delta t}(z - \frac{1}{2} \Delta z)f_c(z)+ \notag \\
+  {} & T_n^{t+\Delta t}(z+ \frac{1}{2}\Delta z)\left\{ f_c(z+ \Delta z) -
+     f_c(z) \right\} + \notag \\
+   {} & T_n^{t+\Delta t}(z+\frac{3}{2}\Delta
+z)f_c(z+\Delta z) ]
+\end{align}
+%
+Note that $f_c$ is on the interface level, and the neutral
+temperature on the midpoint level. The first order derivative
+derived from
+%
+\begin{align}
+ \frac{\partial f T_n^{t+\Delta t}}{\partial Z}(z+\frac{1}{2}\Delta z) =
+ \frac{f(z+\Delta z)T_n^{t+\Delta t}(z+\Delta z) -
+       f(z)T_n^{t+\Delta t}(z) }{\Delta z}
+\end{align}
+%
+with the values at the interface level $T_n^{t+\Delta t}(z)=
+\frac{1}{2} (T_n^{t+\Delta t}(z-\frac{1}{2}\Delta z)+ T_n^{t+\Delta
+t}(z+\frac{1}{2}\Delta z))$ and $T_n^{t+\Delta t}(z+\Delta z)=
+\frac{1}{2} (T_n^{t+\Delta t}(z+\frac{3}{2}\Delta
+z)T_n^{t+\Delta t}(z+\frac{1}{2}\Delta z))$. \\
+%
+The tridiagonal solver need the equation in the following form:
+%
+\begin{align}
+P(k,i) T_n^{t+\Delta t}(k-1,i) + & Q(k,i) T_n^{t+\Delta t}(k,i)+ \notag \\
+ {} & R(k,i) T_n^{t+\Delta t}(k+1,i) = RHS(k,i)
+\end{align}
+%
+with the height index $k$ for $z+\frac{1}{2}\Delta z$, $k+1$ for
+$z+\frac{3}{2}\Delta z$, and $k-1$ for $z-\frac{1}{2}\Delta z$. The
+longitude index is denoted by $i$. Note that the equation is solved
+at each latitude $\lambda$ with the index $j$. \\
+%
+The left hand side terms discussed above are sorted according to the
+height index which leads to
+%
+\begin{align}
+  P(k,i) = & \; g_c(k,i)-f_c(k,i) \\
+  Q^*(k,i) = & \; -g_c(k+1,i)-g_c(k,i)-f_c(k,i)+f(k+1,i) \\
+  R = & \; g_c(k+1,i) + f(k+1,i)
+\end{align}
+%
+At the upper boundary the values are set to
+%
+\begin{align}
+  R(z_{top}-\frac{1}{2} \Delta z)= & \; 0 \\
+  P(z_{top}-\frac{1}{2} \Delta z) = & \; g_c(z_{top}-\frac{1}{2} \Delta z)-f(z_{top}-\frac{1}{2} \Delta z) \\
+  Q(z_{top}-\frac{1}{2} \Delta z) = & \; -g_c(z_{top}-\frac{1}{2} \Delta z)-f(z_{top}-\frac{1}{2} \Delta z)
+\end{align}
+%
+The right hand side is
+%
+\begin{align}
+  RHS = & C_p^{mid} e^{-z} \left[ \mathbf{v}_n^t \nabla T_n^{t} + w^{t+\Delta t \frac{\partial T_n^t}{\partial Z}} -
+       \frac{1}{2 \Delta t} T_n^{t-\Delta t,smo} \right] - \notag \\
+   {} & e^{-z}
+       Q^{exp}+ L^{exp}
+\end{align}
+%
+At the height level $k$ the following terms are added to $Q$
+%
+\begin{align}
+  Q(k,i) = Q^*(k,i) + C_p^{mid}\left\{ \frac{1}{2 \Delta t} + L^{imp}
+  \right\} + w^{mid}\frac{R}{\overline{m}}
+\end{align}
+%
+with the values at the midpoint level $C_p^{mid}(z+\frac{1}{2} +
+\Delta z) = C_p(z) + C_p(z + \Delta z)$ and $w^{mid}(z+\frac{1}{2} +
+\Delta z) = w(z) + w(z+\Delta z)$. At the lower boundary the
+following condition is used
+%
+\begin{align}
+  P(z_{bot}-\frac{1}{2}\Delta z) T_n(z_{bot}-\frac{1}{2}\Delta z) = & \;
+                   2 P(z_{bot}) T_n(z_{LB}) - P(z_{bot}+\frac{1}{2}\Delta z)
+  T_n(z_{bot}+\frac{1}{2}\Delta z) \\
+  P(z_{bot}+\frac{1}{2} \Delta z) = & \;  0
+\end{align}
+%
+with $z_{bot}+\frac{1}{2} \Delta z$ corresponding to the midpoint
+level and the height index $k=1$. $P(z_{bot})$ is set to
+$P(z_{bot}+\frac{1}{2} \Delta z)$, and $T_n(z_{bot})$ is equal to
+the lower boundary with the value $T_n(z_{LB})$. This which leads to
+%
+\begin{align}
+  Q^*(z_{bot}+\frac{1}{2} \Delta z) = & \; Q(z_{bot}+\frac{1}{2} \Delta z) - P(z_{bot}+\frac{1}{2} \Delta z) \\
+  RHS^*(z_{bot}+\frac{1}{2} \Delta z) = & \; RHS(z_{bot}+\frac{1}{2} \Delta z) - 2P(z_{bot}+\frac{1}{2} \Delta z) T_n^t(z_{LB}) \\
+  P^*(z_{bot}+\frac{1}{2} \Delta z) = & \; 0
+\end{align}
+%
+Solving for the neutral temperature at each latitude leads to the
+updated neutral temperature $T_n^{upd, t_n+\Delta t}$ at the
+midpoints. The lower boundary of the neutral temperature is stored
+at the top level with the height index $nlev + 1$ which is above the
+upper boundary of the model with pressure level $-7$ . Note that the
+lower boundary is at pressure level $-7$ which is $z_{bot}$ or
+$z_{LB}$, however all the other values of the neutral temperature
+are on the midpoints which means at the pressure levels $ -6.75,
+-6.25, -5.75 ....5.75, 6.25, 6.75$. The calculated values for the
+neutral temperature $T_n^{upd, t + \Delta t}$ are smoothed by a Fast
+Fourier transformation. All the wave numbers larger than a
+predefined value at each latitude are removed. The wave numbers are
+defined in the module \src{cons.F}. The values of the neutral
+temperature at the timestep $t_n$ are also updated by using
+%
+\begin{align}
+  T_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(T_n^{t-\Delta t}+
+     T_{n,smo}^{upd,t+\Delta t}) + c_{smo}T_n^t
+\end{align}
+%
+with $c_{smo} = 0.95$
diff --git a/doc/description/duv.tex b/doc/description/duv.tex
index 403532e..1408fed 100644
--- a/doc/description/duv.tex
+++ b/doc/description/duv.tex
@@ -1,615 +1,613 @@
-%
-\section{Momentum equation  \index{DUV.F}}\label{cap:duv}
-%
-The input to \src{subroutine duv} is summarized in table
-\ref{tab:input_duv}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t$\\
-neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t-\Delta t$\\
-neutral temperature &       $T_n^{t+\Delta t}$ & $K$   &  midpoints & $t+\Delta t$\\
-neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t$\\
-neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t$\\
-neutral zonal velocity&     {$u_n^{t-\Delta t}$} & $cm/s$& midpoints & $t-\Delta t$\\
-neutral meridional velocity&{$v_n^{t-\Delta t}$} & $cm/s$& midpoints & $t-\Delta t$\\
-dimenionsless vertical velocity& $W^{t-\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
-geopotential height&  $z$     & $cm$   & interfaces  & $t+\Delta t$\\
-zonal horizontal diffusion&       {$h_{d,u}$}     & $cm/s^2$   & midpoints  & $t-\Delta t$\\
-meridional horizontal diffusion& {$h_{d,v}$}     & $cm/s^2$   & midpoints  & $t-\Delta t$ \\
-zonal electrodynamic drift velocity&       {$v_{ExB,x}$}     & $cm/s$   & interfaces  & $t$ \\
-meridional electrodynamic drift velocity&  {$v_{ExB,y}$}     & $cm/s$   & interfaces  & $t$ \\
-ion drag coefficients (geographic direction)&       $\lambda_{xx},\lambda_{xy},\lambda_{yy},\lambda_{yx}$ & $1/s$   & interfaces  & $t + \Delta t$ \\
-molecular viscosity&       $k_m$     & $\frac{g}{cm s}$   & interfaces  & t \\
-mean molecular weight&       {$\overline{m}$}     & $g/mol$ &
-interfaces  &$t + \Delta t$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine duv}} \label{tab:input_duv}
-\end{table}
-%
-The output of \src{subroutine duv} is summarized in table
-\ref{tab:output_duv}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-neutral zonal velocity     &       {$u_n^{upd,t+\Delta t}$}     & $cm/s$   & midpoints  & $t+\Delta t$ \\
-neutral meridional velocity&       {$v_n^{upd,t+\Delta t}$}     & $cm/s$   & midpoints  & $t+\Delta t$\\
-neutral zonal velocity     &       {$u_n^{upd,t}$}     & $cm/s$   & midpoints  & $t$\\
-neutral meridional velocity&       {$v_n^{upd,t}$}     & $cm/s$
-&midpoints  & $t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine duv}}
-\label{tab:output_duv}
-\end{table}
-%
-The zonal and meridional momentum equation is solved to get the
-neutral horizontal velocities $u_n$ and $v_n$. For the vertical
-velocity the continuity \ref{eq:swdot1} equation is solved. In the code the
-\src{subroutine addiag} solves for the dimensionless vertical
-velocity $w$. \\
-
-The momentuum equation in the zonal direction can be written as
-%
-\begin{align}
-   \frac{\partial u_n}{\partial t}=& \frac{g e^z}{p_0} \frac{\partial}{\partial Z}\left[
-       \frac{\mu \partial u_n}{H \partial Z}\right] + f^{cor}v_n +
-       \lambda_{xx}(v_{ExB,x}- u_n) + \lambda_{xy}(v_{ExB,y}- v_n) - \notag \\
-       {} & \mathbf{v}_n\cdot
-       \nabla u_n + \frac{u_n v_n}{R_E} \tan \lambda - \frac{1}{R_E cos
-       \lambda} \frac{\partial \Phi}{\partial \phi} - W \frac{\partial u_n}{\partial Z} -hd_u
-\end{align}
-%
-with $\lambda_{xx}$ and $\lambda_{xy}$ the ion drag coefficients.
- The meridional momentum equation is defined as
-%
-\begin{align}
-   \frac{\partial v_n}{\partial t}=& \frac{g e^z}{p_0} \frac{\partial}{\partial Z}\left[
-       \frac{\mu \partial v_n}{H \partial Z}\right] - f^{cor}v_n +
-       \lambda_{yy}(v_{ExB,x}- u_n) + \lambda_{yx}(v_{ExB,y}- u_n) - \notag \\
-       {} & \mathbf{v}_n\cdot
-       \nabla v_n + \frac{u_n u_n}{R_E} \tan \lambda - \frac{1}{R_E}
-       \frac{\partial \Phi}{\partial \lambda} - W \frac{\partial
-       v_n}{\partial Z} -hd_v
-\end{align}
-%
-Horizontal diffusion $hd_u$ and $hd_v$ is also included in the momentum equations (needs
-documentation look at hdiff3; not consistent in equations)
-The time rate of change in the horizontal velocity on the left hand
-(1. term) side is equal to the forcing terms on the right hand
-side. The forcing terms are the following in this order: the
-vertical viscosity (2. term), the Coriolis force (3. term), the
-ion-drag force (4.+5. term), the nonlinear horizontal advection (6.
-term) and momentum force (7. term), the pressure gradient force (8.
-term),the vertical advection (9. term) and horizontal diffusion (10.term). Using a Leapfrog
-scheme leads to
-%
-\begin{align}
-   \frac{ u_n^{t+ \Delta t}- u_n^{t-\Delta t}}{2 \Delta t}=& \frac{g e^z}{p_0} \frac{d}{d z}\left[
-       \frac{\mu d u_n^{t+\Delta t}}{H d z}\right] + fv_n^{t+\Delta t} +
-       \lambda_{xx}(v_{ExB,x}^t- u_n^{t+\Delta t}) + \notag \\
-       {}& \lambda_{xy}(v_{ExB,y}^t- v_n^{t+\Delta t}) - \mathbf{v}_n^t\cdot
-       \nabla u_n^t +  \\
-       {}& \frac{u_n^{t+\Delta t} v_n^t}{R_E} \tan \lambda - \frac{1}{R_E cos
-       \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi} - W^{t+\Delta t}
-       \frac{d u_n^{t+\Delta t}}{d Z} \notag
-\end{align}
-%
-and
-%
-\begin{align}
-   \frac{ v_n^{t+ \Delta t}- v_n^{t-\Delta t}}{2 \Delta t}=& \frac{g e^z}{p_0} \frac{d}{d Z}\left[
-       \frac{\mu d v_n^{t+\Delta t}}{H d Z}\right] - fu_n^{t+\Delta t} +
-       \lambda_{yy}(v_{ExB,y}^t- v_n^{t+\Delta t}) + \notag \\
-       {} & \lambda_{yx}(v_{ExB,x}^t- u_n^{t+\Delta t}) - \mathbf{v}_n^t\cdot
-       \nabla v_n^t -  \\
-       {}& \frac{u_n^{t+\Delta t} u_n^t}{R_E} \tan \lambda - \frac{1}{R_E
-       } \frac{d \Phi^{t+\Delta t*}}{d \lambda} - W^{t+\Delta t} \frac{d v_n^{t+\Delta t}}{d
-       Z} \notag
-\end{align}
-%
-The terms of the discretized equation are added to the matrices
-$\mathbf{Q}$ at the height level $k$, $\mathbf{P}$ at $k-1$, and
-$\mathbf{R}$ at $k+1$. The first line in the matrices is the zonal
-equation and the second line the meridional one. In the
-following text we will describe the contribution to the matrices for each
-term. The right hand side goes into $\mathbf{rhs}$. Note that in the
-code the two equations are divided by $e^z$ \\
-
-%
-The time derivatives $\frac{ u_n^{t+ \Delta t}- u_n^{t-\Delta t}}{2
-\Delta t}$ i.e. $\frac{ v_n^{t+ \Delta t}- v_n^{t-\Delta t}}{2
-\Delta t}$ lead to
-%
-\begin{gather}
-  \mathbf{Q}^1= e^{-z}
-   \begin{pmatrix}
-       \frac{1}{2 \Delta t}&  0\\
-       0                   & \frac{1}{2 \Delta t}
-   \end{pmatrix}
-\end{gather}
-%
-in units of $1/s$, and the right hand side
-%
-\begin{gather}
-  \mathbf{RHS}^1=e^{-z}
-   \begin{pmatrix}
-       \frac{u_n^{t-\Delta t},smooth}{2 \Delta t} + hd_u\\
-       \frac{v_n^{t-\Delta t},smooth}{2 \Delta t} + hd_v
-   \end{pmatrix}
-\end{gather}
-%
-in units of $cm/s^2$ with $hd_u$ and $hd_v$ the horizontal diffusion terms calculated in
-\src{subroutine hdiff3} \index{hdiff3}. The velocities $u_n^{t-\Delta t}$ and
-$v_n^{t-\Delta t}$ at the previous timestep $t-\Delta t$ are
-smoothed with the Shapiro method. First in meridional direction and
-then a zonal smoothing is applied.
-%
-\begin{align}
-  f^{smooth}_{merid} = & f(\phi,\lambda) - c_{shapiro}\{  f(\phi,\lambda+2\Delta \lambda) +
-  f(\phi,\lambda-2\Delta \lambda) - \notag \\
-  {}& 4 \left[ f(\phi,\lambda+\Delta \lambda) + f(\phi,\lambda-\Delta \lambda)  \right]+
-  6 f(\phi,\lambda) \} \\
-  f^{smooth}_{zonal}
-  =& f^{smooth}_{merid} -c_{shapiro} \{  f^{smooth}_{merid}(\phi+2 \Delta \phi,\lambda) +
-  f^{smooth}_{merid}(\phi-2\Delta \phi,\lambda) - \notag \\
-  {}& 4 \left[ f^{smooth}_{merid}(\phi+\Delta \phi,\lambda)
-  + f^{smooth}_{merid}(\phi-\Delta \phi,\lambda)  \right]+
-  6 f^{smooth}_{merid}(\phi,\lambda) \} \label{eq:duv_shapiro}
-\end{align}
-%
-The Shapiro constant is set to $c_{shapiro}=
-0.03$. The smoothing is done in
-the \src{subroutine smooth}. \\
-
-The vertical viscosity term includes the eddy $\mu_{ed}$ and
-molecular $\mu_{mol}$ viscosity.
-%
-\begin{align}
-  \frac{g e^z}{p_0} \frac{d}{d z}\left[
-       \frac{\mu d u_n^{t+\Delta t}}{H d Z}\right] = e^z \frac{g^2 (\mu_{ed} + \mu_{mol})
-          \overline{m}}{p_0 k_B T_n^{int} \Delta z^2} 
-\end{align}
-%
-with $\frac{1}{H} = \frac{g \overline{m}}{k_B T_n}$.   The term is calculated at the interface level. We substitute
-in the following in $[1/s]$
-%
-\begin{align}
-  \frac{f_{vis}}{\Delta z^2} = \frac{g^2 \mu \overline{m}}{p_0 k_B  T_n^{int} \Delta z^2}
-\end{align}
-%
-The second derivative is discretized by
-%
-\begin{align}
-  {}& \frac{\partial}{\partial z} \left(  {f_{vis}}
-  \frac{\partial u_n^{t + \Delta t} }{\partial z}\right) (z+\frac{1}{2}\Delta z)  =
-    \frac{ \left[ f^{int}_{vis} \frac{\partial u_n^{t + \Delta t} }
-  {\partial z} \right](z+\Delta z)
-  - \left[ f^{int}_{vis} \frac{\partial u_n^{t + \Delta t} }
-  {\partial z} \right](z)}{\Delta
-  z}  =& \notag \\
-  {} & = \frac{1}{\Delta z} ( f_{vis}(z+\Delta z)
-  \frac{u_n(z+\frac{3}{2}\Delta z)- u_n(z+\frac{1}{2}\Delta z)}{\Delta z}
-   \notag \\
-   {} \; \; & -  f_{vis}(z) \frac{u_n(z+\frac{1}{2}\Delta z)- u_n(z-\frac{1}{2}\Delta z)}
-  {\Delta  z} ) =  \\
-   {} & {=} \frac{1}{\Delta z^2} ( f_{vis}(z) u_n(z+\frac{3}{2}\Delta z) \notag \\
-   {} \; \; & -
-   (f_{vis}(z+\Delta z) + f_{vis}(z)) u_n(z+\frac{1}{2}\Delta z)
-   + f_{vis}(z)u_n(z-\frac{1}{2}\Delta z)
-   ) \label{eq:duv_2ndderiv} \notag
-\end{align}
-%
-Note that $f_{vis}$ is at the interface level with $z$ denoting the
-index $k$, and the neutral velocity on the midpoints with
-$z+\frac{1}{2}\Delta z$ being the $k$ level. The same applies to the
-derivative of the meridional velocity. The terms from the above
-equation are added to the matrices $\mathbf{Q}$ for the height level
-k, $\mathbf{R}$ for the values at the level $k+1$, and $\mathbf{P}$
-for the $k-1$ height level
-%
-\begin{gather}
-  \mathbf{Q}^2= \mathbf{Q}^1 +
-   \begin{pmatrix}
-       \frac{1}{ \Delta z^2}(f_{vis}(z+\Delta z) + f_{vis}(z))&  0\\
-       0                   & \frac{1}{\Delta z^2}(f_{vis}(z+\Delta z) + f_{vis}(z))
-   \end{pmatrix}
-\end{gather}
-%
-%
-\begin{gather}
-  \mathbf{P}^2=
-   \begin{pmatrix}
-       -\frac{1}{\Delta z^2}f_{vis}(z)&  0\\
-       0                   & -\frac{1}{\Delta z^2}f_{vis}(z)
-   \end{pmatrix}
-\end{gather}
-%
-%
-\begin{gather}
-  \mathbf{R}^2=
-   \begin{pmatrix}
-       -\frac{1}{\Delta z^2}f_{vis}(z+\Delta z)&  0\\
-       0                   &- \frac{1}{\Delta z^2}f_{vis}(z+\Delta z)
-   \end{pmatrix}
-\end{gather}
-%
-The third terms in the momentuum equations $f^{cor}v_n^{t+\Delta t}$
-and $- f^{cor}u_n^{t+\Delta t}$ are the Coriolis forcing with the
-Coriolis parameter $f^{cor} = 2 \Omega \sin \lambda$. The terms are
-added to the matrix $\mathbf{G}$ in units of $[1/s]$
-%
-\begin{gather}
-  \mathbf{Q}^3= \mathbf{Q}^2 + e^{-z}
-   \begin{pmatrix}
-       0 & - f^{cor} \\
-       f^{cor} & 0
-   \end{pmatrix}
-\end{gather}
-%
-The fourth and fifth term in the momentuum equation
-$\lambda_{xx}(v_{ExB,x}- u_n^{t+\Delta t}) + \lambda_{xy}(v_{ExB,y}-
-v_n^{t+\Delta t})$ and $\lambda_{yy}(v_{ExB,y}- v_n^{t+\Delta t}) +
-\lambda_{yx}(v_{ExB,x}- u_n^{t+\Delta t})$ are the ion drag terms.
-The terms with the electrodynamic drift velocity are added to the
-right hand side. (Note that in the code $\lambda_{yx}(code) =-\lambda_{yx} $
-and this sign change is taken into account in the code)
-%
-\begin{gather}
-  \mathbf{RHS}^2= \mathbf{RHS}^1 + e^{-z}
-   \begin{pmatrix}
-     \lambda_{xx}^{t, mid} v_{ExB,x}^{t, mid} + \lambda_{xy}^{t, mid} v_{ExB,y}^{t, mid}  \\
-     \lambda_{yy}^{t, mid} v_{ExB,y}^{t, mid} + \lambda_{yx}^{t, mid} v_{ExB,x}^{t, mid}
-   \end{pmatrix}
-\end{gather}
-%
-The values $\lambda_{**}^{t, mid} $ and $v_{ExB,*}^{t, mid}$ are the
-ion drag coefficient and the electrodynamic drift velocity at the
-time step $t$ and at the midpoints. Therefore in the code the values
-from the interface height level $k$ and $k+1$ are averaged to get
-the midpoints values. Both the ion drag coefficients and the
-electrodynamic drift velocity
-are on the interface levels. \\
-%
-The terms with the neutral velocity are added to the left hand side
-in units of $[1/s]$.(Note that in the code $\lambda_{yx}(code) =-\lambda_{yx} $
-and this sign change is taken into account in the code)
-%
-\begin{gather}
-  \mathbf{Q}^3= \mathbf{Q}^2 + e^{-z}
-   \begin{pmatrix}
-       \lambda_{xx}^{t, mid} &  \lambda_{xy}^{t, mid}\\
-       \lambda_{yx}^{t, mid} & \lambda_{yy}^{t, mid}
-   \end{pmatrix}
-\end{gather}
-%
-The horizontal advection terms in zonal direction $-
-\mathbf{v}_n^t\cdot \nabla u_n^t$ and meridional direction $-
-\mathbf{v}_n^t\cdot \nabla v_n^t$ are added to the right hand side
-in units of $[cm/s^2]$.
-%
-\begin{gather}
-  \mathbf{RHS}^3= \mathbf{RHS}^2 + e^{-z}
-   \begin{pmatrix}
-     -\mathbf{v}_n^t\cdot \nabla u_n^t  \\
-     -\mathbf{v}_n^t\cdot \nabla v_n^t
-   \end{pmatrix} = \mathbf{RHS}^2 + e^{-z}
-   \begin{pmatrix}
-     - u_n^t \frac{\partial u_n^t}{\partial \phi} - v_n^t \frac{\partial u_n^t}{\partial \lambda } \\
-     - u_n^t \frac{\partial v_n^t}{\partial \phi} - v_n^t \frac{\partial v_n^t}{\partial \lambda }
-   \end{pmatrix}
-\end{gather} \label{eq:duv_horiz_advec}
-%
-The advection term is calculated in the \src{subroutine advec} by
-taking the fourth order stencil for the derivative. The average
-velocity is denoted by $u_n^{avg} = \frac{1}{2} (u_n(\phi+\Delta
-\phi,\lambda) + u_n (\phi-\Delta \phi,\lambda))$ and $u_n^{2 avg} =
-\frac{1}{2} (u_n(\phi+2\Delta \phi,\lambda) + u_n (\phi-2\Delta
-\phi,\lambda))$. The same is done for the meridional velocity $v_n$
-which leads to $v_n^{avg} = \frac{1}{2} (v_n(\phi,\lambda+\Delta
-\lambda) + v_n (\phi,\lambda-\Delta \lambda))$ and $v_n^{2 avg} =
-\frac{1}{2} (v_n(\phi,\lambda+2\Delta \lambda) + v_n
-(\phi,\lambda-2\Delta \lambda))$. The discrete advection of the
-zonal velocity for the point $(\phi,\lambda)$ is
-%
-\begin{align}
-  u_n \frac{\partial u_n}{\partial \phi}(\phi,\lambda) = &
-  \frac{1}{R_E cos \lambda} ( \frac{2}{3 \Delta \phi}
-  u_n^{avg}(\phi,\lambda) \left[
-   u_n(\phi+\Delta
-   \phi,\lambda) - u_n(\phi-\Delta
-   \phi,\lambda)  \right] - \notag \\
-   {} & \frac{1}
-   {12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
-   u_n(\phi+2\Delta
-   \phi,\lambda) - u_n(\phi-2\Delta \phi,\lambda)  \right] )
-\end{align}
-%
-and
-%
-\begin{align}
-  v_n \frac{\partial u_n}{\partial \lambda }(\phi,\lambda) = &
-  \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}v_n^{avg}(\phi,\lambda) \left[
-   u_n(\phi,\lambda+\Delta \lambda) - u_n(\phi,\lambda-\Delta \lambda)  \right] - \notag \\
-   {} & \frac{1}{12 \Delta \lambda}v_n^{2avg}(\phi,\lambda) \left[
-   u_n(\phi,\lambda+2\Delta \lambda) - u_n(\phi,\lambda-2\Delta \lambda)  \right] )
-\end{align}
-%
-%
-\begin{align}
-  u_n \frac{\partial v_n}{\partial \phi}(\phi,\lambda) = &
-  \frac{1}{R_E cos \lambda} (
-  \frac{2}{3 \Delta \phi}u_n^{avg}(\phi,\lambda) \left[
-   v_n(\phi+\Delta \phi,\lambda) - v_n(\phi-\Delta \phi,\lambda)  \right] - \notag \\
-   {} & \frac{1}{12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
-   v_n(\phi+2\Delta \phi,\lambda) - v_n(\phi-2\Delta \phi,\lambda)  \right] )
-\end{align}
-%
-and
-%
-\begin{align}
-  v_n \frac{\partial v_n}{\partial \lambda }(\phi,\lambda) & =
-  \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}
-  v_n^{avg}(\phi,\lambda) \left[
-   v_n(\phi,\lambda+\Delta \lambda) - v_n(\phi,\lambda-\Delta \lambda)  \right] - \notag \\
- {} &   \frac{1}{12 \Delta \lambda}v_n^{2avg}(\phi,\lambda) \left[
-   v_n(\phi,\lambda+2\Delta \lambda) - v_n(\phi,\lambda-2\Delta \lambda)  \right] )
-\end{align}
-%
-The advection term is calculated at midpoints and is in units of
-[$cm/s^2$]. \\
-%
-The 8. term is due to the horizontal momentum in the zonal direction
-$\frac{u_n^{t+\Delta t} v_n^t}{R_E} \tan \lambda$ and the meridional
-one $\frac{u_n^{t+\Delta t} u_n^t}{R_E} \tan \lambda$. These terms
-are added to the left hand side $\mathbf{G}$ matrix in $[1/s]$.
-%
-\begin{gather}
-  \mathbf{Q}^4= \mathbf{Q}^3 + e^{-z}
-   \begin{pmatrix}
-       0 & - \frac{v_n^t}{R_E}\tan \lambda \\
-       \frac{u_n^t}{R_E}\tan \lambda & 0
-   \end{pmatrix}
-\end{gather}
-%
-in the code it's $+\frac{u_n^t}{R_E}\tan \lambda$  due
-to northward/meridional direction.\\
-%
-The pressure gradient term in the zonal and meridional directions is $-
-\frac{1}{R_E \cos \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi}$ and
-$- \frac{1}{R_E } \frac{d \Phi^{t+\Delta t*}}{d \lambda} $ (9. term)
-which is added to the right hand side matrix $\mathbf{RHS}$ in units of $[cm/s^2]$\\
-%
-\begin{gather}
-  \mathbf{RHS}^3= \mathbf{RHS}^2 + e^{-z}
-   \begin{pmatrix}
-     - \frac{1}{R_E \cos \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi} \\
-     - \frac{1}{R_E } \frac{d \Phi^{t+\Delta t}}{d \lambda}
-   \end{pmatrix}
-\end{gather}
-%
-The geopotential is calculated in \src{subroutine glp}. The input to
-\src{subroutine glp} is summarized in table \ref{tab:input_glp}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t$\\
-neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t-\Delta t$\\
-neutral temperature &       $T_n^{t+\Delta t}$ & $K$   &  midpoints & $t+\Delta t$\\
-geopotential height&  $z$     & $cm$   & interfaces  & $t+\Delta t$\\
-mean molecular weight&       {$\overline{m}$}     & $g/mol$   &
-interfaces  &$t + \Delta t$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine glp}} \label{tab:input_glp}
-\end{table}
-%
-The output of \src{subroutine glp} is summarized in table
-\ref{tab:output_duv}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-zonal derivative of geopotential      & {$\frac{1}{R_E \cos \lambda} \frac{\partial \Phi^{t+\Delta t*}}{\partial \phi}$}     & $cm/s^2$   & midpoints  & $t+\Delta t*$ \\
-meridional derivative of geopotential & {$\frac{1}{R_E }
-\frac{\partial \Phi^{t+\Delta t}}{\partial \lambda}$}    & $cm/s^2$
-& midpoints  & $t+\Delta t$
-\\ \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine glp} i.e. \src{subroutine
-dldp}} \label{tab:output glp}
-\end{table}
-%
-The parameters are summarized in table \ref{tab:parameters glp}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|} \hline
- variable        & value \\ \hline \hline
-   $\Delta z$  & 0.5   $$  \\
-   $wgt$  &   $0.225$  \\
-  $\frac{g}{R}$   & $\frac{870 cm/s^2}{8.314 e^7 erg/K/mol}$
-\\ \hline
-\end{tabular}
-\caption{Parameters of \src{subroutine glp} i.e. \src{subroutine
-dldp}} \label{tab:parameters glp}
-\end{table}
-%
-Firstly, an average temperature $\overline{T}_n$ is calculated by
-using
-%
-\begin{align}
-  \overline{T}_n = T_n^t + wgt* \left[ -2 T_n^t + T_n^{t- \Delta t} + T_n^{t+ \Delta t}\right]
-\end{align}
-%
-The mean molecular weight is determined at the midpoints by
-%
-\begin{align}
-  \overline{m}(k+\frac{1}{2}) =
-  0.5*(\overline{m}(k)\overline{m}(k+1))=\overline{m}^{mid}(k)
-\end{align}
-%
-The geopotenial is defined by the hydrostatic equation
-%
-\begin{align}
-  \frac{\partial \Phi}{\partial z}= \frac{R^* \overline{T}_n}{\overline{m}}
-\end{align}
-%
-which is integrated from the bottom of the model to the top.
-%
-\begin{align}
- z^*(k) = z^{t+\Delta t*}(k) = \int_{k_{bot}}^{k(z)} \frac{R^*
-  \overline{T}_n}{g \overline{m}^{mid}} \Delta Z
-\end{align}
-%
-in units of $[cm]$ with $\Phi = Z g$, the gas constant $R^*$ in
-$[erg/K/mol]$, and the mean mass $\overline{m}$ in $[g/mole]$. The
-geopotential height uses already an mix of neutral temperature,
-which includes $T_n^{t+\Delta t}$ and there it's neither $z^t$ not
-$z^{t+ \Delta t}$. ??? check units???. Note that $z^* = z^{t+\Delta
-t*}$ is at the interfaces, since the value which
-is integrated is on the midlevels. \\
-%
-The derivatives are determined in \src{subroutine dldp} by taking
-the fourth order derivative. In the zonal direction the previous
-calculated geopotential height $z^{t+\Delta t*}$ is used while in the
-latitudinal direction the updated geopotential height  $z^{t+\Delta
-t}$ is applied.
-%
-\begin{align}
-  \frac{d z^*}{d \phi}(\phi,\lambda,z) = & \frac{2}{3 \Delta \phi}[
-   z^*(\phi+\Delta \phi,\lambda,z) -
-  z^*(\phi-\Delta \phi,\lambda,z)] - \notag \\
-  {} & \frac{1}{12 \Delta \phi}[z^*(\phi+2\Delta \phi,\lambda,z)-z^*(\phi-2\Delta \phi,\lambda,z)] \\
-  \frac{d z^*}{d \lambda}(\phi,\lambda,z) = & \frac{2}{3 \Delta \lambda}[ z^*(\phi,\lambda+\Delta \lambda,z) -
-  z^*(\phi,\lambda-\Delta \lambda,z)] -  \notag \\
-  {} & \frac{1}{12 \Delta \phi}[z^*(\phi,\lambda+2\Delta \lambda,z)-z^*(\phi,\lambda-2\Delta \lambda,z)]
-\end{align}
-%
-in units of $[cm]$. The derivatives are the transfered from the
-interface levels to the midpoint level by
-%
-\begin{align}
-  \frac{1}{R_E \cos \lambda}\frac{d \Phi}{d \phi}(\phi,\lambda,z) = &
-  \frac{1}{2} g \frac{1}{R_E \cos \lambda}\left[ \frac{d z^*}
-  {d \phi}(\phi,\lambda,z) + \frac{d z^*}{d \phi}(\phi,\lambda,z+\Delta z)\right]  \\
-  \frac{1}{R_E} \frac{d \Phi}{d \lambda}(\phi,\lambda,z) = & \frac{1}{2} g \frac{1}{R_E }
-        \left[ \frac{d z^*}{d \lambda}(\phi,\lambda,z) + \frac{d z^*}{d \lambda}(\phi,\lambda,z+\Delta z)\right]
-\end{align}
-%
-which is in $[cm/s^2]$. 
-% ??? check the gravity term g, is this to get from z to phi?  alan Burns 4/2/09
-The
-periodic points are set to zero. \\
-%
-The final term is the vertical advection term $- W^{t+\Delta t}
-\frac{d u_n^{t+\Delta t}}{d Z}$ and $- W^{t+\Delta t} \frac{d
-v_n^{t+\Delta t}}{d Z}$. The terms are added to the left hand side
-matrix $\mathbf{P}$ and $\mathbf{R}$ in $[1/s]$
-%
-\begin{gather}
-  \mathbf{P}^3= \mathbf{P}^2 + e^{-z}
-   \begin{pmatrix}
-       -\frac{W^{mid,t+\Delta t}}{2 \Delta z} & 0 \\
-       0 & -\frac{W^{mid,t+\Delta t}}{2 \Delta z}
-   \end{pmatrix}
-\end{gather}
-%
-%
-\begin{gather}
-  \mathbf{R}^3= \mathbf{R}^2 + e^{-z}
-   \begin{pmatrix}
-       \frac{W^{mid,t+\Delta t}}{2 \Delta z} & 0 \\
-       0 & i\frac{W^{mid,t+\Delta t}}{2 \Delta z}
-   \end{pmatrix}
-\end{gather}
-%
-The lower boundary is taken into account by extrapolating the values
-of the matrix $\mathbf{P}$
-%
-\begin{align}
-     \mathbf{P}(z_{bot}-\frac{1}{2}\Delta z)\mathbf{v}(z_{bot}-\frac{1}{2}\Delta z)=
-     2 \mathbf{P}(z_{bot})\mathbf{v}_{LB} -
-     \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)\mathbf{v}(z_{bot}+\frac{1}{2}\Delta z)
-\end{align}
-%
-with $z_{bot}+\frac{1}{2}\Delta z$ on the midpoint level having the
-height index $1$. The value $\mathbf{P}(z_{bot})$ is set to
-$\mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)$, and the neutral velocity
-at the lower boundary is $\mathbf{v}(z_{bot}) = \mathbf{v}_{LB}$.
-Therefore, substituting the lower boundary condition into the
-equation leads to
-%
-\begin{align}
-  \mathbf{Q}(z_{bot}+\frac{1}{2}\Delta z)^*= & \; \mathbf{Q}(z_{bot}+\frac{1}{2}\Delta z)-\mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)
-  \\
-  \mathbf{RHS}(z_{bot}+\frac{1}{2}\Delta z)^*= & \; \mathbf{RHS}(z_{bot}+\frac{1}{2}\Delta z)-2
-  \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)\mathbf{v}_{LB} \\
-  \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z) = & \; 0
-\end{align}
-%
-At the upper boundary it's assumed that
-%
-\begin{align}
-  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)\mathbf{v}(z_{top}+\frac{1}{2}\Delta z) =
-  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)\mathbf{v}(z_{top}-\frac{1}{2}\Delta z)
-\end{align}
-%
-with $z_{top}-\frac{1}{2}\Delta z$ on the midpoint level corresponds
-to the height index $nlev$. This which leads to
-%
-\begin{align}
-  \mathbf{Q}(z_{top}-\frac{1}{2}\Delta z)^*= & \;
-    \mathbf{Q}(z_{top}-\frac{1}{2}\Delta z)-\mathbf{R}(z_{top}-\frac{1}{2}\Delta z)
-  \\
-  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)^*= & \; 0
-\end{align}
-%
-A tridiagional solver
-is called in \src{subroutine trsolv}. It solve the generic equation
-%
-%
-\begin{align}
- p(k,i)*v(k-1,i) + q(k,i)*v(k,i)+r(k,i)*t(k+1,i) = rhs(k,i)
-\end{align}
-%
-with  $p(k,i)$ being the $(i,j)$ element of the matrix $\mathbf{P}$,
-$q(k,i)$ of the matrix $\mathbf{Q}$, $r(k,i)$ of the matrix
-$\mathbf{R}$, $rhs(k,i)$ of the matrix $\mathbf{RHS}$, and $v(k,i)$
-of the neutral velocity vector $\mathbf{v}_n $. The lower boundary
-at $z_{bot}=z_{LB}$ of the neutral velocity is stored at the top
-level $nlev+1$ since this height is above the upper boundary anyway.
-The upper boundary pressure level is $-7$ which corresponds to
-$z_{top}$. The neutral velocity is only calculated from
-$z_{bot}+\frac{1}{2}\Delta z$ to $z_{top}-\frac{1}{2}\Delta z$. Note
-that the lower boundary is at $p-lev=-7$, and all the other values
-of the neutral velocity are on the midpoints which means at $p-lev =
--6.75, -6.25, -5.75 ....5.75, 6.25, 6.75$.
-\\
-
-The calculated values for the neutral velocity $\mathbf{u}_n^{upd, t
-+ \Delta t}$ and $\mathbf{v}_n^{upd, t + \Delta t}$ are smoothed by
-a Fast Fourier transformation. All the wave numbers larger than a
-predefined value at each latitude are removed. The wave numbers are
-defined in the module \src{cons.F}. The values of the neutral
-velocity at the timestep $t$ are also updated by using
-%
-\begin{align}
-  u_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(u_n^{t-\Delta t}+
-     u_{n,smo}^{upd,t+\Delta t}) + c_{smo}u_n^t \\
-  v_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(v_n^{t-\Delta t}+
-     v_{n,smo}^{upd,t+\Delta t}) + c_{smo}v_n^t
-\end{align}
-%
-with $c_{smo} = 0.95$
+%
+\section{Momentum equation  \index{DUV.F}}\label{cap:duv}
+%
+The input to \src{subroutine duv} is summarized in table
+\ref{tab:input_duv}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t$\\
+neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t-\Delta t$\\
+neutral temperature &       $T_n^{t+\Delta t}$ & $K$   &  midpoints & $t+\Delta t$\\
+neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t$\\
+neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t$\\
+neutral zonal velocity&     {$u_n^{t-\Delta t}$} & $cm/s$& midpoints & $t-\Delta t$\\
+neutral meridional velocity&{$v_n^{t-\Delta t}$} & $cm/s$& midpoints & $t-\Delta t$\\
+dimenionsless vertical velocity& $W^{t-\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
+geopotential height&  $z$     & $cm$   & interfaces  & $t+\Delta t$\\
+zonal horizontal diffusion&       {$h_{d,u}$}     & $cm/s^2$   & midpoints  & $t-\Delta t$\\
+meridional horizontal diffusion& {$h_{d,v}$}     & $cm/s^2$   & midpoints  & $t-\Delta t$ \\
+zonal electrodynamic drift velocity&       {$v_{ExB,x}$}     & $cm/s$   & interfaces  & $t$ \\
+meridional electrodynamic drift velocity&  {$v_{ExB,y}$}     & $cm/s$   & interfaces  & $t$ \\
+ion drag coefficients (geographic direction)&       $\lambda_{xx},\lambda_{xy},\lambda_{yy},\lambda_{yx}$ & $1/s$   & interfaces  & $t + \Delta t$ \\
+molecular viscosity&       $k_m$     & $\frac{g}{cm s}$   & interfaces  & t \\
+mean molecular weight&       {$\overline{m}$}     & $g/mol$ &
+interfaces  &$t + \Delta t$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine duv}} \label{tab:input_duv}
+\end{table}
+%
+The output of \src{subroutine duv} is summarized in table
+\ref{tab:output_duv}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+neutral zonal velocity     &       {$u_n^{upd,t+\Delta t}$}     & $cm/s$   & midpoints  & $t+\Delta t$ \\
+neutral meridional velocity&       {$v_n^{upd,t+\Delta t}$}     & $cm/s$   & midpoints  & $t+\Delta t$\\
+neutral zonal velocity     &       {$u_n^{upd,t}$}     & $cm/s$   & midpoints  & $t$\\
+neutral meridional velocity&       {$v_n^{upd,t}$}     & $cm/s$
+&midpoints  & $t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine duv}}
+\label{tab:output_duv}
+\end{table}
+%
+The zonal and meridional momentum equation is solved to get the
+neutral horizontal velocities $u_n$ and $v_n$. For the vertical
+velocity the continuity \ref{eq:swdot1} equation is solved. In the code the
+\src{subroutine addiag} solves for the dimensionless vertical
+velocity $w$. \\
+
+The momentuum equation in the zonal direction can be written as
+%
+\begin{align}
+   \frac{\partial u_n}{\partial t}=& \frac{g e^z}{p_0} \frac{\partial}{\partial Z}\left[
+       \frac{\mu \partial u_n}{H \partial Z}\right] + f^{cor}v_n +
+       \lambda_{xx}(v_{ExB,x}- u_n) + \lambda_{xy}(v_{ExB,y}- v_n) - \notag \\
+       {} & \mathbf{v}_n\cdot
+       \nabla u_n + \frac{u_n v_n}{R_E} \tan \lambda - \frac{1}{R_E cos
+       \lambda} \frac{\partial \Phi}{\partial \phi} - W \frac{\partial u_n}{\partial Z} -hd_u
+\end{align}
+%
+with $\lambda_{xx}$ and $\lambda_{xy}$ the ion drag coefficients.
+ The meridional momentum equation is defined as
+%
+\begin{align}
+   \frac{\partial v_n}{\partial t}=& \frac{g e^z}{p_0} \frac{\partial}{\partial Z}\left[
+       \frac{\mu \partial v_n}{H \partial Z}\right] - f^{cor}v_n +
+       \lambda_{yy}(v_{ExB,x}- u_n) + \lambda_{yx}(v_{ExB,y}- u_n) - \notag \\
+       {} & \mathbf{v}_n\cdot
+       \nabla v_n + \frac{u_n u_n}{R_E} \tan \lambda - \frac{1}{R_E}
+       \frac{\partial \Phi}{\partial \lambda} - W \frac{\partial
+       v_n}{\partial Z} -hd_v
+\end{align}
+%
+Horizontal diffusion $hd_u$ and $hd_v$ is also included in the momentum equations (needs
+documentation look at hdiff3; not consistent in equations)
+The time rate of change in the horizontal velocity on the left hand
+(1. term) side is equal to the forcing terms on the right hand
+side. The forcing terms are the following in this order: the
+vertical viscosity (2. term), the Coriolis force (3. term), the
+ion-drag force (4.+5. term), the nonlinear horizontal advection (6.
+term) and momentum force (7. term), the pressure gradient force (8.
+term),the vertical advection (9. term) and horizontal diffusion (10.term). Using a Leapfrog
+scheme leads to
+%
+\begin{align}
+   \frac{ u_n^{t+ \Delta t}- u_n^{t-\Delta t}}{2 \Delta t}=& \frac{g e^z}{p_0} \frac{d}{d z}\left[
+       \frac{\mu d u_n^{t+\Delta t}}{H d z}\right] + fv_n^{t+\Delta t} +
+       \lambda_{xx}(v_{ExB,x}^t- u_n^{t+\Delta t}) + \notag \\
+       {}& \lambda_{xy}(v_{ExB,y}^t- v_n^{t+\Delta t}) - \mathbf{v}_n^t\cdot
+       \nabla u_n^t +  \\
+       {}& \frac{u_n^{t+\Delta t} v_n^t}{R_E} \tan \lambda - \frac{1}{R_E cos
+       \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi} - W^{t+\Delta t}
+       \frac{d u_n^{t+\Delta t}}{d Z} \notag
+\end{align}
+%
+and
+%
+\begin{align}
+   \frac{ v_n^{t+ \Delta t}- v_n^{t-\Delta t}}{2 \Delta t}=& \frac{g e^z}{p_0} \frac{d}{d Z}\left[
+       \frac{\mu d v_n^{t+\Delta t}}{H d Z}\right] - fu_n^{t+\Delta t} +
+       \lambda_{yy}(v_{ExB,y}^t- v_n^{t+\Delta t}) + \notag \\
+       {} & \lambda_{yx}(v_{ExB,x}^t- u_n^{t+\Delta t}) - \mathbf{v}_n^t\cdot
+       \nabla v_n^t -  \\
+       {}& \frac{u_n^{t+\Delta t} u_n^t}{R_E} \tan \lambda - \frac{1}{R_E
+       } \frac{d \Phi^{t+\Delta t*}}{d \lambda} - W^{t+\Delta t} \frac{d v_n^{t+\Delta t}}{d
+       Z} \notag
+\end{align}
+%
+The terms of the discretized equation are added to the matrices
+$\mathbf{Q}$ at the height level $k$, $\mathbf{P}$ at $k-1$, and
+$\mathbf{R}$ at $k+1$. The first line in the matrices is the zonal
+equation and the second line the meridional one. In the
+following text we will describe the contribution to the matrices for each
+term. The right hand side goes into $\mathbf{rhs}$. Note that in the
+code the two equations are divided by $e^z$ \\
+
+%
+The time derivatives $\frac{ u_n^{t+ \Delta t}- u_n^{t-\Delta t}}{2
+\Delta t}$ i.e. $\frac{ v_n^{t+ \Delta t}- v_n^{t-\Delta t}}{2
+\Delta t}$ lead to
+%
+\begin{gather}
+  \mathbf{Q}^1= e^{-z}
+   \begin{pmatrix}
+       \frac{1}{2 \Delta t}&  0\\
+       0                   & \frac{1}{2 \Delta t}
+   \end{pmatrix}
+\end{gather}
+%
+in units of $1/s$, and the right hand side
+%
+\begin{gather}
+  \mathbf{RHS}^1=e^{-z}
+   \begin{pmatrix}
+       \frac{u_n^{t-\Delta t},smooth}{2 \Delta t} + hd_u\\
+       \frac{v_n^{t-\Delta t},smooth}{2 \Delta t} + hd_v
+   \end{pmatrix}
+\end{gather}
+%
+in units of $cm/s^2$ with $hd_u$ and $hd_v$ the horizontal diffusion terms calculated in
+\src{subroutine hdiff3} \index{hdiff3}. The velocities $u_n^{t-\Delta t}$ and
+$v_n^{t-\Delta t}$ at the previous timestep $t-\Delta t$ are
+smoothed with the Shapiro method. First in meridional direction and
+then a zonal smoothing is applied.
+%
+\begin{align}
+  f^{smooth}_{merid} = & f(\phi,\lambda) - c_{shapiro}\{  f(\phi,\lambda+2\Delta \lambda) +
+  f(\phi,\lambda-2\Delta \lambda) - \notag \\
+  {}& 4 \left[ f(\phi,\lambda+\Delta \lambda) + f(\phi,\lambda-\Delta \lambda)  \right]+
+  6 f(\phi,\lambda) \} \\
+  f^{smooth}_{zonal}
+  =& f^{smooth}_{merid} -c_{shapiro} \{  f^{smooth}_{merid}(\phi+2 \Delta \phi,\lambda) +
+  f^{smooth}_{merid}(\phi-2\Delta \phi,\lambda) - \notag \\
+  {}& 4 \left[ f^{smooth}_{merid}(\phi+\Delta \phi,\lambda)
+  + f^{smooth}_{merid}(\phi-\Delta \phi,\lambda)  \right]+
+  6 f^{smooth}_{merid}(\phi,\lambda) \} \label{eq:duv_shapiro}
+\end{align}
+%
+The Shapiro constant is set to $c_{shapiro}=
+0.03$. The smoothing is done in
+the \src{subroutine smooth}. \\
+
+The vertical viscosity term includes the eddy $\mu_{ed}$ and
+molecular $\mu_{mol}$ viscosity.
+%
+\begin{align}
+  \frac{g e^z}{p_0} \frac{d}{d z}\left[
+       \frac{\mu d u_n^{t+\Delta t}}{H d Z}\right] = e^z \frac{g^2 (\mu_{ed} + \mu_{mol})
+          \overline{m}}{p_0 k_B T_n^{int} \Delta z^2} 
+\end{align}
+%
+with $\frac{1}{H} = \frac{g \overline{m}}{k_B T_n}$.   The term is calculated at the interface level. We substitute
+in the following in $[1/s]$
+%
+\begin{align}
+  \frac{f_{vis}}{\Delta z^2} = \frac{g^2 \mu \overline{m}}{p_0 k_B  T_n^{int} \Delta z^2}
+\end{align}
+%
+The second derivative is discretized by
+%
+\begin{align}
+  {}& \frac{\partial}{\partial z} \left(  {f_{vis}}
+  \frac{\partial u_n^{t + \Delta t} }{\partial z}\right) (z+\frac{1}{2}\Delta z)  =
+    \frac{ \left[ f^{int}_{vis} \frac{\partial u_n^{t + \Delta t} }
+  {\partial z} \right](z+\Delta z)
+  - \left[ f^{int}_{vis} \frac{\partial u_n^{t + \Delta t} }
+  {\partial z} \right](z)}{\Delta
+  z}  =& \notag \\
+  {} & = \frac{1}{\Delta z} ( f_{vis}(z+\Delta z)
+  \frac{u_n(z+\frac{3}{2}\Delta z)- u_n(z+\frac{1}{2}\Delta z)}{\Delta z}
+   \notag \\
+   {} \; \; & -  f_{vis}(z) \frac{u_n(z+\frac{1}{2}\Delta z)- u_n(z-\frac{1}{2}\Delta z)}
+  {\Delta  z} ) =  \\
+   {} & {=} \frac{1}{\Delta z^2} ( f_{vis}(z) u_n(z+\frac{3}{2}\Delta z) \notag \\
+   {} \; \; & -
+   (f_{vis}(z+\Delta z) + f_{vis}(z)) u_n(z+\frac{1}{2}\Delta z)
+   + f_{vis}(z)u_n(z-\frac{1}{2}\Delta z)
+   ) \label{eq:duv_2ndderiv} \notag
+\end{align}
+%
+Note that $f_{vis}$ is at the interface level with $z$ denoting the
+index $k$, and the neutral velocity on the midpoints with
+$z+\frac{1}{2}\Delta z$ being the $k$ level. The same applies to the
+derivative of the meridional velocity. The terms from the above
+equation are added to the matrices $\mathbf{Q}$ for the height level
+k, $\mathbf{R}$ for the values at the level $k+1$, and $\mathbf{P}$
+for the $k-1$ height level
+%
+\begin{gather}
+  \mathbf{Q}^2= \mathbf{Q}^1 +
+   \begin{pmatrix}
+       \frac{1}{ \Delta z^2}(f_{vis}(z+\Delta z) + f_{vis}(z))&  0\\
+       0                   & \frac{1}{\Delta z^2}(f_{vis}(z+\Delta z) + f_{vis}(z))
+   \end{pmatrix}
+\end{gather}
+%
+%
+\begin{gather}
+  \mathbf{P}^2=
+   \begin{pmatrix}
+       -\frac{1}{\Delta z^2}f_{vis}(z)&  0\\
+       0                   & -\frac{1}{\Delta z^2}f_{vis}(z)
+   \end{pmatrix}
+\end{gather}
+%
+%
+\begin{gather}
+  \mathbf{R}^2=
+   \begin{pmatrix}
+       -\frac{1}{\Delta z^2}f_{vis}(z+\Delta z)&  0\\
+       0                   &- \frac{1}{\Delta z^2}f_{vis}(z+\Delta z)
+   \end{pmatrix}
+\end{gather}
+%
+The third terms in the momentuum equations $f^{cor}v_n^{t+\Delta t}$
+and $- f^{cor}u_n^{t+\Delta t}$ are the Coriolis forcing with the
+Coriolis parameter $f^{cor} = 2 \Omega \sin \lambda$. The terms are
+added to the matrix $\mathbf{G}$ in units of $[1/s]$
+%
+\begin{gather}
+  \mathbf{Q}^3= \mathbf{Q}^2 + e^{-z}
+   \begin{pmatrix}
+       0 & - f^{cor} \\
+       f^{cor} & 0
+   \end{pmatrix}
+\end{gather}
+%
+The fourth and fifth term in the momentuum equation
+$\lambda_{xx}(v_{ExB,x}- u_n^{t+\Delta t}) + \lambda_{xy}(v_{ExB,y}-
+v_n^{t+\Delta t})$ and $\lambda_{yy}(v_{ExB,x}- u_n^{t+\Delta t}) +
+\lambda_{yx}(v_{ExB,y}- u_n^{t+\Delta t})$ are the ion drag terms.
+The terms with the electrodynamic drift velocity are added to the
+right hand side.
+%
+\begin{gather}
+  \mathbf{RHS}^2= \mathbf{RHS}^1 + e^{-z}
+   \begin{pmatrix}
+     \lambda_{xx}^{t, mid} v_{ExB,x}^{t, mid} + \lambda_{xy}^{t, mid} v_{ExB,y}^{t, mid}  \\
+     \lambda_{yy}^{t, mid} v_{ExB,y}^{t, mid} - \lambda_{yx}^{t, mid} v_{ExB,x}^{t, mid}
+   \end{pmatrix}
+\end{gather}
+%
+The values $\lambda_{**}^{t, mid} $ and $v_{ExB,*}^{t, mid}$ are the
+ion drag coefficient and the electrodynamic drift velocity at the
+time step $t$ and at the midpoints. Therefore in the code the values
+from the interface height level $k$ and $k+1$ are averaged to get
+the midpoints values. Both the ion drag coefficients and the
+electrodynamic drift velocity
+are on the interface levels. \\
+%
+The terms with the neutral velocity are added to the left hand side
+in units of $[1/s]$.
+%
+\begin{gather}
+  \mathbf{Q}^3= \mathbf{Q}^2 + e^{-z}
+   \begin{pmatrix}
+       \lambda_{xx}^{t, mid} &  \lambda_{xy}^{t, mid}\\
+      -\lambda_{yx}^{t, mid} & \lambda_{yy}^{t, mid}
+   \end{pmatrix}
+\end{gather}
+%
+The horizontal advection terms in zonal direction $-
+\mathbf{v}_n^t\cdot \nabla u_n^t$ and meridional direction $-
+\mathbf{v}_n^t\cdot \nabla v_n^t$ are added to the right hand side
+in units of $[cm/s^2]$.
+%
+\begin{gather}
+  \mathbf{RHS}^3= \mathbf{RHS}^2 + e^{-z}
+   \begin{pmatrix}
+     -\mathbf{v}_n^t\cdot \nabla u_n^t  \\
+     -\mathbf{v}_n^t\cdot \nabla v_n^t
+   \end{pmatrix} = \mathbf{RHS}^2 + e^{-z}
+   \begin{pmatrix}
+     - u_n^t \frac{\partial u_n^t}{\partial \phi} - v_n^t \frac{\partial u_n^t}{\partial \lambda } \\
+     - u_n^t \frac{\partial v_n^t}{\partial \phi} - v_n^t \frac{\partial v_n^t}{\partial \lambda }
+   \end{pmatrix}
+\end{gather} \label{eq:duv_horiz_advec}
+%
+The advection term is calculated in the \src{subroutine advec} by
+taking the fourth order stencil for the derivative. The average
+velocity is denoted by $u_n^{avg} = \frac{1}{2} (u_n(\phi+\Delta
+\phi,\lambda) + u_n (\phi-\Delta \phi,\lambda))$ and $u_n^{2 avg} =
+\frac{1}{2} (u_n(\phi+2\Delta \phi,\lambda) + u_n (\phi-2\Delta
+\phi,\lambda))$. The same is done for the meridional velocity $v_n$
+which leads to $v_n^{avg} = \frac{1}{2} (v_n(\phi,\lambda+\Delta
+\lambda) + v_n (\phi,\lambda-\Delta \lambda))$ and $v_n^{2 avg} =
+\frac{1}{2} (v_n(\phi,\lambda+2\Delta \lambda) + v_n
+(\phi,\lambda-2\Delta \lambda))$. The discrete advection of the
+zonal velocity for the point $(\phi,\lambda)$ is
+%
+\begin{align}
+  u_n \frac{\partial u_n}{\partial \phi}(\phi,\lambda) = &
+  \frac{1}{R_E cos \lambda} ( \frac{2}{3 \Delta \phi}
+  u_n^{avg}(\phi,\lambda) \left[
+   u_n(\phi+\Delta
+   \phi,\lambda) - u_n(\phi-\Delta
+   \phi,\lambda)  \right] - \notag \\
+   {} & \frac{1}
+   {12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
+   u_n(\phi+2\Delta
+   \phi,\lambda) - u_n(\phi-2\Delta \phi,\lambda)  \right] )
+\end{align}
+%
+and
+%
+\begin{align}
+  v_n \frac{\partial u_n}{\partial \lambda }(\phi,\lambda) = &
+  \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}v_n^{avg}(\phi,\lambda) \left[
+   u_n(\phi,\lambda+\Delta \lambda) - u_n(\phi,\lambda-\Delta \lambda)  \right] - \notag \\
+   {} & \frac{1}{12 \Delta \lambda}v_n^{2avg}(\phi,\lambda) \left[
+   u_n(\phi,\lambda+2\Delta \lambda) - u_n(\phi,\lambda-2\Delta \lambda)  \right] )
+\end{align}
+%
+%
+\begin{align}
+  u_n \frac{\partial v_n}{\partial \phi}(\phi,\lambda) = &
+  \frac{1}{R_E cos \lambda} (
+  \frac{2}{3 \Delta \phi}u_n^{avg}(\phi,\lambda) \left[
+   v_n(\phi+\Delta \phi,\lambda) - v_n(\phi-\Delta \phi,\lambda)  \right] - \notag \\
+   {} & \frac{1}{12 \Delta \phi}u_n^{2avg}(\phi,\lambda) \left[
+   v_n(\phi+2\Delta \phi,\lambda) - v_n(\phi-2\Delta \phi,\lambda)  \right] )
+\end{align}
+%
+and
+%
+\begin{align}
+  v_n \frac{\partial v_n}{\partial \lambda }(\phi,\lambda) & =
+  \frac{1}{R_E} ( \frac{2}{3 \Delta \lambda}
+  v_n^{avg}(\phi,\lambda) \left[
+   v_n(\phi,\lambda+\Delta \lambda) - v_n(\phi,\lambda-\Delta \lambda)  \right] - \notag \\
+ {} &   \frac{1}{12 \Delta \lambda}v_n^{2avg}(\phi,\lambda) \left[
+   v_n(\phi,\lambda+2\Delta \lambda) - v_n(\phi,\lambda-2\Delta \lambda)  \right] )
+\end{align}
+%
+The advection term is calculated at midpoints and is in units of
+[$cm/s^2$]. \\
+%
+The 8. term is due to the horizontal momentum in the zonal direction
+$\frac{u_n^{t+\Delta t} v_n^t}{R_E} \tan \lambda$ and the meridional
+one $\frac{u_n^{t+\Delta t} u_n^t}{R_E} \tan \lambda$. These terms
+are added to the left hand side $\mathbf{G}$ matrix in $[1/s]$.
+%
+\begin{gather}
+  \mathbf{Q}^4= \mathbf{Q}^3 + e^{-z}
+   \begin{pmatrix}
+       0 & - \frac{v_n^t}{R_E}\tan \lambda \\
+       \frac{u_n^t}{R_E}\tan \lambda & 0
+   \end{pmatrix}
+\end{gather}
+%
+in the code it's $+\frac{u_n^t}{R_E}\tan \lambda$  due
+to northward/meridional direction.\\
+%
+The pressure gradient term in the zonal and meridional directions is $-
+\frac{1}{R_E \cos \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi}$ and
+$- \frac{1}{R_E } \frac{d \Phi^{t+\Delta t*}}{d \lambda} $ (9. term)
+which is added to the right hand side matrix $\mathbf{RHS}$ in units of $[cm/s^2]$\\
+%
+\begin{gather}
+  \mathbf{RHS}^3= \mathbf{RHS}^2 + e^{-z}
+   \begin{pmatrix}
+     - \frac{1}{R_E \cos \lambda} \frac{d \Phi^{t+\Delta t*}}{d \phi} \\
+     - \frac{1}{R_E } \frac{d \Phi^{t+\Delta t}}{d \lambda}
+   \end{pmatrix}
+\end{gather}
+%
+The geopotential is calculated in \src{subroutine glp}. The input to
+\src{subroutine glp} is summarized in table \ref{tab:input_glp}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t$\\
+neutral temperature &       $T_n^{t-\Delta t}$ & $K$   &  midpoints & $t-\Delta t$\\
+neutral temperature &       $T_n^{t+\Delta t}$ & $K$   &  midpoints & $t+\Delta t$\\
+geopotential height&  $z$     & $cm$   & interfaces  & $t+\Delta t$\\
+mean molecular weight&       {$\overline{m}$}     & $g/mol$   &
+interfaces  &$t + \Delta t$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine glp}} \label{tab:input_glp}
+\end{table}
+%
+The output of \src{subroutine glp} is summarized in table
+\ref{tab:output_duv}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+zonal derivative of geopotential      & {$\frac{1}{R_E \cos \lambda} \frac{\partial \Phi^{t+\Delta t*}}{\partial \phi}$}     & $cm/s^2$   & midpoints  & $t+\Delta t*$ \\
+meridional derivative of geopotential & {$\frac{1}{R_E }
+\frac{\partial \Phi^{t+\Delta t}}{\partial \lambda}$}    & $cm/s^2$
+& midpoints  & $t+\Delta t$
+\\ \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine glp} i.e. \src{subroutine
+dldp}} \label{tab:output glp}
+\end{table}
+%
+The parameters are summarized in table \ref{tab:parameters glp}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|} \hline
+ variable        & value \\ \hline \hline
+   $\Delta z$  & 0.5   $$  \\
+   $wgt$  &   $0.225$  \\
+  $\frac{g}{R}$   & $\frac{870 cm/s^2}{8.314 e^7 erg/K/mol}$
+\\ \hline
+\end{tabular}
+\caption{Parameters of \src{subroutine glp} i.e. \src{subroutine
+dldp}} \label{tab:parameters glp}
+\end{table}
+%
+Firstly, an average temperature $\overline{T}_n$ is calculated by
+using
+%
+\begin{align}
+  \overline{T}_n = T_n^t + wgt* \left[ -2 T_n^t + T_n^{t- \Delta t} + T_n^{t+ \Delta t}\right]
+\end{align}
+%
+The mean molecular weight is determined at the midpoints by
+%
+\begin{align}
+  \overline{m}(k+\frac{1}{2}) =
+  0.5*(\overline{m}(k)\overline{m}(k+1))=\overline{m}^{mid}(k)
+\end{align}
+%
+The geopotenial is defined by the hydrostatic equation
+%
+\begin{align}
+  \frac{\partial \Phi}{\partial z}= \frac{R^* \overline{T}_n}{\overline{m}}
+\end{align}
+%
+which is integrated from the bottom of the model to the top.
+%
+\begin{align}
+ z^*(k) = z^{t+\Delta t*}(k) = \int_{k_{bot}}^{k(z)} \frac{R^*
+  \overline{T}_n}{g \overline{m}^{mid}} \Delta Z
+\end{align}
+%
+in units of $[cm]$ with $\Phi = Z g$, the gas constant $R^*$ in
+$[erg/K/mol]$, and the mean mass $\overline{m}$ in $[g/mole]$. The
+geopotential height uses already an mix of neutral temperature,
+which includes $T_n^{t+\Delta t}$ and there it's neither $z^t$ not
+$z^{t+ \Delta t}$. ??? check units???. Note that $z^* = z^{t+\Delta
+t*}$ is at the interfaces, since the value which
+is integrated is on the midlevels. \\
+%
+The derivatives are determined in \src{subroutine dldp} by taking
+the fourth order derivative. In the zonal direction the previous
+calculated geopotential height $z^{t+\Delta t*}$ is used while in the
+latitudinal direction the updated geopotential height  $z^{t+\Delta
+t}$ is applied.
+%
+\begin{align}
+  \frac{d z^*}{d \phi}(\phi,\lambda,z) = & \frac{2}{3 \Delta \phi}[
+   z^*(\phi+\Delta \phi,\lambda,z) -
+  z^*(\phi-\Delta \phi,\lambda,z)] - \notag \\
+  {} & \frac{1}{12 \Delta \phi}[z^*(\phi+2\Delta \phi,\lambda,z)-z^*(\phi-2\Delta \phi,\lambda,z)] \\
+  \frac{d z^*}{d \lambda}(\phi,\lambda,z) = & \frac{2}{3 \Delta \lambda}[ z^*(\phi,\lambda+\Delta \lambda,z) -
+  z^*(\phi,\lambda-\Delta \lambda,z)] -  \notag \\
+  {} & \frac{1}{12 \Delta \phi}[z^*(\phi,\lambda+2\Delta \lambda,z)-z^*(\phi,\lambda-2\Delta \lambda,z)]
+\end{align}
+%
+in units of $[cm]$. The derivatives are the transfered from the
+interface levels to the midpoint level by
+%
+\begin{align}
+  \frac{1}{R_E \cos \lambda}\frac{d \Phi}{d \phi}(\phi,\lambda,z) = &
+  \frac{1}{2} g \frac{1}{R_E \cos \lambda}\left[ \frac{d z^*}
+  {d \phi}(\phi,\lambda,z) + \frac{d z^*}{d \phi}(\phi,\lambda,z+\Delta z)\right]  \\
+  \frac{1}{R_E} \frac{d \Phi}{d \lambda}(\phi,\lambda,z) = & \frac{1}{2} g \frac{1}{R_E }
+        \left[ \frac{d z^*}{d \lambda}(\phi,\lambda,z) + \frac{d z^*}{d \lambda}(\phi,\lambda,z+\Delta z)\right]
+\end{align}
+%
+which is in $[cm/s^2]$. 
+% ??? check the gravity term g, is this to get from z to phi?  alan Burns 4/2/09
+The
+periodic points are set to zero. \\
+%
+The final term is the vertical advection term $- W^{t+\Delta t}
+\frac{d u_n^{t+\Delta t}}{d Z}$ and $- W^{t+\Delta t} \frac{d
+v_n^{t+\Delta t}}{d Z}$. The terms are added to the left hand side
+matrix $\mathbf{P}$ and $\mathbf{R}$ in $[1/s]$
+%
+\begin{gather}
+  \mathbf{P}^3= \mathbf{P}^2 + e^{-z}
+   \begin{pmatrix}
+       -\frac{W^{mid,t+\Delta t}}{2 \Delta z} & 0 \\
+       0 & -\frac{W^{mid,t+\Delta t}}{2 \Delta z}
+   \end{pmatrix}
+\end{gather}
+%
+%
+\begin{gather}
+  \mathbf{R}^3= \mathbf{R}^2 + e^{-z}
+   \begin{pmatrix}
+       \frac{W^{mid,t+\Delta t}}{2 \Delta z} & 0 \\
+       0 & i\frac{W^{mid,t+\Delta t}}{2 \Delta z}
+   \end{pmatrix}
+\end{gather}
+%
+The lower boundary is taken into account by extrapolating the values
+of the matrix $\mathbf{P}$
+%
+\begin{align}
+     \mathbf{P}(z_{bot}-\frac{1}{2}\Delta z)\mathbf{v}(z_{bot}-\frac{1}{2}\Delta z)=
+     2 \mathbf{P}(z_{bot})\mathbf{v}_{LB} -
+     \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)\mathbf{v}(z_{bot}+\frac{1}{2}\Delta z)
+\end{align}
+%
+with $z_{bot}+\frac{1}{2}\Delta z$ on the midpoint level having the
+height index $1$. The value $\mathbf{P}(z_{bot})$ is set to
+$\mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)$, and the neutral velocity
+at the lower boundary is $\mathbf{v}(z_{bot}) = \mathbf{v}_{LB}$.
+Therefore, substituting the lower boundary condition into the
+equation leads to
+%
+\begin{align}
+  \mathbf{Q}(z_{bot}+\frac{1}{2}\Delta z)^*= & \; \mathbf{Q}(z_{bot}+\frac{1}{2}\Delta z)-\mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)
+  \\
+  \mathbf{RHS}(z_{bot}+\frac{1}{2}\Delta z)^*= & \; \mathbf{RHS}(z_{bot}+\frac{1}{2}\Delta z)-2
+  \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z)\mathbf{v}_{LB} \\
+  \mathbf{P}(z_{bot}+\frac{1}{2}\Delta z) = & \; 0
+\end{align}
+%
+At the upper boundary it's assumed that
+%
+\begin{align}
+  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)\mathbf{v}(z_{top}+\frac{1}{2}\Delta z) =
+  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)\mathbf{v}(z_{top}-\frac{1}{2}\Delta z)
+\end{align}
+%
+with $z_{top}-\frac{1}{2}\Delta z$ on the midpoint level corresponds
+to the height index $nlev$. This which leads to
+%
+\begin{align}
+  \mathbf{Q}(z_{top}-\frac{1}{2}\Delta z)^*= & \;
+    \mathbf{Q}(z_{top}-\frac{1}{2}\Delta z)-\mathbf{R}(z_{top}-\frac{1}{2}\Delta z)
+  \\
+  \mathbf{R}(z_{top}-\frac{1}{2}\Delta z)^*= & \; 0
+\end{align}
+%
+A tridiagional solver
+is called in \src{subroutine trsolv}. It solve the generic equation
+%
+%
+\begin{align}
+ p(k,i)*v(k-1,i) + q(k,i)*v(k,i)+r(k,i)*t(k+1,i) = rhs(k,i)
+\end{align}
+%
+with  $p(k,i)$ being the $(i,j)$ element of the matrix $\mathbf{P}$,
+$q(k,i)$ of the matrix $\mathbf{Q}$, $r(k,i)$ of the matrix
+$\mathbf{R}$, $rhs(k,i)$ of the matrix $\mathbf{RHS}$, and $v(k,i)$
+of the neutral velocity vector $\mathbf{v}_n $. The lower boundary
+at $z_{bot}=z_{LB}$ of the neutral velocity is stored at the top
+level $nlev+1$ since this height is above the upper boundary anyway.
+The upper boundary pressure level is $-7$ which corresponds to
+$z_{top}$. The neutral velocity is only calculated from
+$z_{bot}+\frac{1}{2}\Delta z$ to $z_{top}-\frac{1}{2}\Delta z$. Note
+that the lower boundary is at $p-lev=-7$, and all the other values
+of the neutral velocity are on the midpoints which means at $p-lev =
+-6.75, -6.25, -5.75 ....5.75, 6.25, 6.75$.
+\\
+
+The calculated values for the neutral velocity $\mathbf{u}_n^{upd, t
++ \Delta t}$ and $\mathbf{v}_n^{upd, t + \Delta t}$ are smoothed by
+a Fast Fourier transformation. All the wave numbers larger than a
+predefined value at each latitude are removed. The wave numbers are
+defined in the module \src{cons.F}. The values of the neutral
+velocity at the timestep $t$ are also updated by using
+%
+\begin{align}
+  u_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(u_n^{t-\Delta t}+
+     u_{n,smo}^{upd,t+\Delta t}) + c_{smo}u_n^t \\
+  v_n^{upd,t} = \frac{1}{2}({1-c_{smo}})(v_n^{t-\Delta t}+
+     v_{n,smo}^{upd,t+\Delta t}) + c_{smo}v_n^t
+\end{align}
+%
+with $c_{smo} = 0.95$
diff --git a/doc/description/efield_allg.tex b/doc/description/efield_allg.tex
index d3bba7b..27c2540 100644
--- a/doc/description/efield_allg.tex
+++ b/doc/description/efield_allg.tex
@@ -1,87 +1,87 @@
-%
-\section{Electric field calculation / \index{EFIELD.F}}\label{cap:efield}
-%
-The input to \src{subroutine efield} is summarized in table
-\ref{tab:input_efield}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-electric potential on geomag. grid          & $\Phi$           &
-$V$   & interfaces  & $t_n$ \\
-apex factors & $\frac{\cos \lambda_0}{\cos \lambda_m^*}$& -&- &-  \\
-              & $\frac{ \partial \lambda_0}{\partial \lambda_m^*}$& -&-&-
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine efield}}
-\label{tab:input_efield}
-\end{table}
-%
-The output of \src{subroutine efield} is summarized in table
-\ref{tab:output_efield}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-electric field: east-,north-, upward&       {}     & $$   &   & \\
-geomagnetic direction on geographic grid & $R*E_{m \phi}, R*E_{m
-\lambda},\Delta z * E_{z}$  & $V$   & interface  & $t_{n}$
- \\ \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine efield}}
-\label{tab:output_efield}
-\end{table}
-%
-The electric field calculation was started in the \src{subroutine
-efield} and is finished in the \src{subroutine ionvel}. Note that
-the electric field is also calculated in the dynamo-module in
-\src{subroutine threed}, however it's not used. Later versions of
-TIE-GCM will use the electric field calculated in the dynamo-module,
-and therefore the \src{subroutine efield} will be shortened. \\
-
-Input to the \src{subroutine efield} is the three dimensional
-electric potential $\Phi$ on the geomagnetic grid. It's copied into
-a local array to set up the wrap around points. The three
-dimensional electric field in magnetic eastward, northward and
-upward direction $E_{m \phi}$, $E_{m \lambda}$ and $E_z$ is
-%
-\begin{align}
-   E_{m \phi}    = & - \frac{1}{R cos \lambda_m} \frac{\partial \Phi}{\partial \phi_m}\\
-   E_{m \lambda} = & \frac{1}{R } \frac{\partial \Phi}{\partial
-   \lambda_m} \\
-   E_{z}  = & \frac{\partial \Phi}{\partial z}
-\end{align}
-%
-with the geomagnetic coordinates $\phi_m$ and $\lambda_m$ for
-longitude and latitude. $R$ is the radius $R=R_E+z$. In the code the
-equally spaced grid points distribution $\lambda_0$ in $\lambda_m^*$
-is used to calculate the derivatives. Therefore the mapping factors
-from the irregular latitudinal spaced grid $\lambda_m^*$ to
-$\lambda_0$ have to be taken into account. This leads to the
-discrete derivatives
-%
-\begin{align}
-   R E_{m \phi}(\phi_m,\lambda_m,z)    = & - \frac{cos \lambda_0}{ cos \lambda_m^*}
-           \frac{\Phi(\phi_m+\Delta \phi,\lambda_m,z)-\Phi(\phi_m-\Delta \phi,\lambda_m,z)}{2 cos \lambda_0\Delta \phi_m}\\
-   R E_{m \lambda}(\phi_m,\lambda_m,z) = & \frac{\partial \lambda_0}{\lambda_m^* }
-   \frac{ \Phi(\phi_m,\lambda_m+\Delta \lambda,z)-\Phi(\phi_m,\lambda_m-\Delta \lambda,z)}{2 \Delta \lambda_0} \\
-   2\Delta z E_{z}(\phi_m,\lambda_m,z)  = & - \Phi(\phi_m,\lambda_m,z+\Delta z)+\Phi(\phi_m,\lambda_m,z-\Delta z)
-\end{align}
-%
-The factor $\frac{\cos \lambda_0}{ \cos \lambda_m^*}$ is denoted by
-\src{rcos0s} in the source code and $\frac{\partial
-\lambda_0}{\partial \lambda_m^* }$ by \src{dt0dts}, which are
-calculated in the apex-module. The polar values of $R E_{m \phi}$
-are set by taking the value of $R E_{m \lambda}$ which is shifted by
-180 degree. \\
-%
-The electric field  values $R E_{m \phi}$ , $R E_{m \lambda}$ and
-$\Delta z E_{z}$ are then mapped from the geomagnetic grid to the
-geographic grid. These values are then further used in the
-\src{subroutine ionvel} and rotated in the geographic direction.
+%
+\section{Electric field calculation / \index{EFIELD.F}}\label{cap:efield}
+%
+The input to \src{subroutine efield} is summarized in table
+\ref{tab:input_efield}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+electric potential on geomag. grid          & $\Phi$           &
+$V$   & interfaces  & $t_n$ \\
+apex factors & $\frac{\cos \lambda_0}{\cos \lambda_m^*}$& -&- &-  \\
+              & $\frac{ \partial \lambda_0}{\partial \lambda_m^*}$& -&-&-
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine efield}}
+\label{tab:input_efield}
+\end{table}
+%
+The output of \src{subroutine efield} is summarized in table
+\ref{tab:output_efield}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+electric field: east-,north-, upward&       {}     & $$   &   & \\
+geomagnetic direction on geographic grid & $R*E_{m \phi}, R*E_{m
+\lambda},\Delta z * E_{z}$  & $V$   & interface  & $t_{n}$
+ \\ \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine efield}}
+\label{tab:output_efield}
+\end{table}
+%
+The electric field calculation was started in the \src{subroutine
+efield} and is finished in the \src{subroutine ionvel}. Note that
+the electric field is also calculated in the dynamo-module in
+\src{subroutine threed}, however it's not used. Later versions of
+TIE-GCM will use the electric field calculated in the dynamo-module,
+and therefore the \src{subroutine efield} will be shortened. \\
+
+Input to the \src{subroutine efield} is the three dimensional
+electric potential $\Phi$ on the geomagnetic grid. It's copied into
+a local array to set up the wrap around points. The three
+dimensional electric field in magnetic eastward, northward and
+upward direction $E_{m \phi}$, $E_{m \lambda}$ and $E_z$ is
+%
+\begin{align}
+   E_{m \phi}    = & - \frac{1}{R cos \lambda_m} \frac{\partial \Phi}{\partial \phi_m}\\
+   E_{m \lambda} = & \frac{1}{R } \frac{\partial \Phi}{\partial
+   \lambda_m} \\
+   E_{z}  = & \frac{\partial \Phi}{\partial z}
+\end{align}
+%
+with the geomagnetic coordinates $\phi_m$ and $\lambda_m$ for
+longitude and latitude. $R$ is the radius $R=R_E+z$. In the code the
+equally spaced grid points distribution $\lambda_0$ in $\lambda_m^*$
+is used to calculate the derivatives. Therefore the mapping factors
+from the irregular latitudinal spaced grid $\lambda_m^*$ to
+$\lambda_0$ have to be taken into account. This leads to the
+discrete derivatives
+%
+\begin{align}
+   R E_{m \phi}(\phi_m,\lambda_m,z)    = & - \frac{cos \lambda_0}{ cos \lambda_m^*}
+           \frac{\Phi(\phi_m+\Delta \phi,\lambda_m,z)-\Phi(\phi_m-\Delta \phi,\lambda_m,z)}{2 cos \lambda_0\Delta \phi_m}\\
+   R E_{m \lambda}(\phi_m,\lambda_m,z) = & \frac{\partial \lambda_0}{\lambda_m^* }
+   \frac{ \Phi(\phi_m,\lambda_m+\Delta \lambda,z)-\Phi(\phi_m,\lambda_m-\Delta \lambda,z)}{2 \Delta \lambda_0} \\
+   2\Delta z E_{z}(\phi_m,\lambda_m,z)  = & - \Phi(\phi_m,\lambda_m,z+\Delta z)+\Phi(\phi_m,\lambda_m,z-\Delta z)
+\end{align}
+%
+The factor $\frac{\cos \lambda_0}{ \cos \lambda_m^*}$ is denoted by
+\src{rcos0s} in the source code and $\frac{\partial
+\lambda_0}{\partial \lambda_m^* }$ by \src{dt0dts}, which are
+calculated in the apex-module. The polar values of $R E_{m \phi}$
+are set by taking the value of $R E_{m \lambda}$ which is shifted by
+180 degree. \\
+%
+The electric field  values $R E_{m \phi}$ , $R E_{m \lambda}$ and
+$\Delta z E_{z}$ are then mapped from the geomagnetic grid to the
+geographic grid. These values are then further used in the
+\src{subroutine ionvel} and rotated in the geographic direction.
diff --git a/doc/description/elden.tex b/doc/description/elden.tex
index aaa1b0d..3034030 100644
--- a/doc/description/elden.tex
+++ b/doc/description/elden.tex
@@ -1,229 +1,229 @@
-%
-\section{Calculation of electron density $N_e$, $N^+$, $N_2^+$, $NO^+$  \index{ELDEN.F}}\label{cap:elden}
-%
-The input to \src{subroutine elden} is summarized in table
-\ref{tab:input_elden}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
-mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
-mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
-number density of $O^+$&   $n(O^+)$         & $\#/cm^3$   & midpoints  &$t_n $ \\
-number density of $O^{+,t_n+\Delta t}$&   $n(O^+)$         & $\#/cm^3$   & midpoints  &$t_n $ \\
-number density of $N(^2D)$&   $n(N(^2D))$  & $\#/cm^3$   & midpoints  &$t_n$ \\
-number density of $NO$&   $n(NO)$  & $\#/cm^3$   & midpoints  &$t_n$ \\
-number density of $N(^4S)$&   $n(N(^4S))$  & $\#/cm^3$   & midpoints  &$t_n$ \\
-number density of $XI O^+(^2P)$&   $n(XI O^+(^2P))$  & $\#/cm^3$   & midpoints  &$t_n+ \Delta t$ \\
-number density of $XI O^+(^2D)$&   $n(XI O^+(^2D))$  & $\#/cm^3$   &
-midpoints &$t_n+ \Delta t$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine elden}}
-\label{tab:input_elden}
-\end{table}
-%
-The output of \src{subroutine settei} is summarized in table
-\ref{tab:output_elden}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-number density of $N^+$    & $n(N^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
-number density of $N_2^+$    & $n(N_2^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
-number density of $NO^+$    & $n(NO^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
-number density of $O_2^+$    & $n(O_2^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
-electron density     & $N_e$   & $\#/cm^3$   & midpoints  &
-$t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine elden}}
-\label{tab:output_elden}
-\end{table}
-%
-%
-The module data of \src{subroutine elden} is summarized in table
-\ref{tab:module_elden}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline QRJ: production due to $N^+$ &
-{$Q(N^+)$}
-&$cm^{-3}s^{-1}$ & interfaces & $t_n$  \\
-QRJ: production due to $NO^+$ & {$Q(NO^+)$}
-&$cm^{-3}s^{-1}$ & interfaces & $t_n$  \\
-CHEMRATES: reaction rates & {$k_i$}
-&$cm^{3}s^{-1}$ & midpoints & $-$  \\
-CHEMRATES: N) production coefficient & {$\beta_9$} &$s^{-1}$ & interface & $-$ 
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine elden}}
-\label{tab:module_elden}
-\end{table}
-%
-
-The electron density is calculated by
-%
-\begin{align}
-  N_e = n(O^+) + n(N_2^+) + n(N^+) + n(O_2^+)+ n(NO^+)
-\end{align}
-%
-with
-%
-\begin{align}
-  n(O^+) = & F \\
-  n(N_2^+) = & \frac{D}{E' + \alpha_3 N_e} \\
-  n(N^+) = & G \\
-  n(O_2^+) = & \frac{B+\frac{HD}{E' + \alpha_3 N_e}}{C+ \alpha_2 N_e}
-  \\
-  n(NO^+) =&  \left[ A + \frac{E' D - HD}{E' + \alpha_3 N_e} + \frac{C}{C+ \alpha_2 N_e}
-     \frac{B+HD}{E' + \alpha_3 N_e} \right] \frac{1}{\alpha_1 N_e}
-\end{align}
-%
- This leads to an
-fourth order equation
-%
-\begin{align}
-  a_4 N_e^4 + a_3 N_e^3 + a_2 N_e + a_1 N_e + a_0 = 0
-\end{align}
-%
-with
-%
-\begin{align}
-   a_4 = & \alpha_1 \alpha_2 \alpha_3 \\
-   a_3 = & \alpha_1 (\alpha_2 E' + \alpha_3 C) - \alpha_1 \alpha_2
-       \alpha_3 (F + G) \\
-   a_2 = & \alpha_1 E' C - \alpha_1 (\alpha_2 E' + \alpha_3 C) (F+G)
-        - \alpha_1 \alpha_2 D - \alpha_2 \alpha_3 A - \alpha_1
-        \alpha_3 B \\
-   a_1 = & - \alpha_1 \left[ E' C (F+G) + D C + B E' + H D\right] -
-         \notag \\
-        {} & \alpha_2 \left[ E' (A + D) - H D \right] - \alpha_3 C (A +
-        B)\\
-   a_0 =  & - E' C (A + B + D)
-\end{align}
-%
-and
-%
-\begin{align}
-  A = & Q(NO^+) + k_2 n(O^+)n(N_2) + k_7 n(N^+)n(O_2) + \beta_9
-       n(NO)\\
-  B = & Q(O_2^+)+ k_1 n(O^+)+ n(O_2) + k_6 n(N^+)n(O_2) + \notag \\
-       {} & k_{26}n(O_2)n(xiO^+(^2D)) \\
-  C = & k_4 n(N(^4S)) + k_5 n(NO) \\
-  D = & Q(N_2^+) + n(N_2)\left[ k_{16}n(xiO^+(^2P) +
-       k_{23}n(xiO^+(^2D))\right] \\
-  E = & k_3 n(O) \\
-  F = & n(O^+)  \\
-  G = & n(N^+)  \\
-  H = & k_9 n(O_2) \\
-  E' = & E + H
-\end{align}
-%
-Then the electron density is
-%
-\begin{align}
-  N_e = F + \frac{D}{E' + \alpha_3 N_e} + G + \frac{B}{C+ \alpha_2
-  N_e} + \frac{HD}{(E' + \alpha_3 N_e)(C+ \alpha_2 N_e)}+ \notag \\ \frac{1}{\alpha_1 N_e}
-  \left[ A + \frac{E' D - HD}{E' + \alpha_3 N_e}+
-  \frac{CB}{C+ \alpha_2 N_e}+ \frac{CHD}{(E' + \alpha_3 N_e)(C+\alpha_2 N_e)}\right]
-\end{align}
-%
-The values $A, B, C, D, E, F, G$ and $H$ are evaluated at midpoint
-level
-%
-\begin{align}
-  A(z+\frac{1}{2} \Delta z) = & \frac{1}{2}( Q(NO^+)(z)+Q(NO^+)(z+ \Delta z))
-  + \notag \\
-       {} & N\overline{m} \left[ k_2 n(O^+)^{t+\Delta t}\frac{\Psi_{N_2}}{m_{N_2}} +
-       k_7 n(N^+)\frac{\Psi_{O_2}}{m_{O_2}}\right] + \notag \\
-       {} & \frac{1}{2}\left[\beta_9(z) + \beta_9(z+\Delta z)\right]
-       \frac{\Psi_{NO}}{m_{NO}}\\
-  B(z+\frac{1}{2} \Delta z) = & \frac{1}{2}(Q(O_2^+)(z)+Q(O_2^+)(z+ \Delta z)
-  )+ \notag \\
-   {} & N \overline{m} [ k_1 n(O^+)^{T+\Delta t} + k_6 n(N^+)+
-   \notag \\
-    {} & k_{26}n(xiO^+(^2D)) ]\frac{\Psi_{O_2}}{m_{O_2}} \\
-  C(z+\frac{1}{2} \Delta z) = & N\overline{m} \left[ k_4 \frac{\Psi_{N(^4S)}}{m_{N(^4S)}} +
-                               k_5 \frac{\Psi_{NO}}{m_{NO}}\right]
-                               \\
-  D(z+\frac{1}{2} \Delta z) = & frac{1}{2}\left[Q(N_2^+)(z) + Q(N_2^+)(z+ \Delta z)
-  \right]+ \notag \\
-          {} &          N\overline{m} \frac{\Psi_{N_2}}{m_{N_2}}\left[ k_{16}n(xiO^+(^2P) +
-       k_{23}n(xiO^+(^2D)))\right] \\
-  E'(z+\frac{1}{2} \Delta z) = & N\overline{m} \left[ k_3 \frac{\Psi_{O}}{m_{O}} +
-                               k_9 \frac{\Psi_{O_2}}{m_{O_2}}\right]\\
-  (F+G)(z+\frac{1}{2} \Delta z) = & n(O^+)+  n(N^+) \\
-  H(z+\frac{1}{2} \Delta z)= & N\overline{m} k_9 \frac{\Psi_{O_2}}{m_{O_2}}
-\end{align}
-%
-%
-First the conversion factor from mass mixing ratio to number density
-is calculated at the midpoint level
-%
-\begin{align}
-  N \overline{m}(z+ \frac{1}{2}\Delta z) =
-        \frac{p_o e^{-z - \frac{1}{2} \Delta z}\overline{m}(z + \Delta z)}
-                    {k_B T_n(z + \Delta z)}
-\end{align}
-%
-The mass mixing ratio of $N_2$ at the midpoint level is determined
-by
-%
-\begin{align}
-  \Psi(N_2)(z+ \frac{1}{2}\Delta z) = 1- \Psi(O_2)(z+ \frac{1}{2}\Delta z) - \Psi(O)(z+ \frac{1}{2}\Delta z)
-\end{align}
-%
-The number density of $N^+$ is
-%
-\begin{align}
-  n(N^+) = \frac{Q(N^+) + k_{10}n(O^+)n(N(^2D))}{(k_6 + k_7)n(O_2) + k_8 n(O)}
-\end{align}
-%
-which is calculated  at the midpoint level in the code by
-%
-\begin{align}
-  n(N^+)(z+ \frac{1}{2}\Delta z) =  \frac{ \frac{1}{2}\left[Q(N^+)(z) + Q(N^+)(z+ \Delta z) \right] +
-         k_{10}n(O^+)N \overline{m} \frac{\Psi(N(^2D))}{m_{N(^2D)}}}
-         {N \overline{m}(k_6 + k_7)\frac{\Psi(O_2)}{m_{O_2}} + k_8
-         \frac{\Psi(O)}{m_{O}}}
-\end{align}
-%
-The quadric solver solves for the electron density $N_e$, with $N_e
-\geq 3 \cdot 10^3$. Then, the number densities of $N_2^+$, $O_2^+$
-and $NO^+$ can be determined on the midpoint level
-%
-\begin{align}
-  n(N_2^+) = & \frac{D}{E' + \alpha_3 N_e} \\
-  n(O_2^+) = & \left[ B + \frac{HD}{E' + \alpha_3 N_e}
-               \right]\frac{1}{C+\alpha_2 N_e} \\
-  n(NO^+) = & \frac{A + \frac{D(E' - H)}{E'+ \alpha_3 N_e} + C \left( B+ \frac{HD}{E' + \alpha_3 N_e}\right)}
-  {C+\alpha_2 N_e} \frac{1}{\alpha_1 N_e}
-\end{align}
-%
-with $N_e$ still on the midpoint level. The electron density at the
-interface level is determined by
-%
-\begin{align}
-  N_e (z) = \sqrt{N_e(z-\frac{1}{2}\Delta z) N_e(z+\frac{1}{2}\Delta z)}
-\end{align}
-%
-with the midpoint level  $z-\frac{1}{2}\Delta z$ denoted by index
-$k$,  $z+\frac{1}{2}\Delta z$ then by the height index $k+1$, and on
-the interface level $z$ has the index $k+1$. The upper and lower
-boundary are set by
-%
-\begin{align}
-  N_e (z_{bot}) = \sqrt{\frac{N_e^3(z_{bot}+\frac{1}{2}\Delta z)}{N_e(z_{bot}+\frac{3}{2}\Delta
-  z)}} \\
-  N_e (z_{top}) = \sqrt{\frac{N_e^3(z_{top}-\frac{1}{2}\Delta z)}{N_e(z_{top}-\frac{3}{2}\Delta
-  z)}}
-\end{align}
-%
+%
+\section{Calculation of electron density $N_e$, $N^+$, $N_2^+$, $NO^+$  \index{ELDEN.F}}\label{cap:elden}
+%
+The input to \src{subroutine elden} is summarized in table
+\ref{tab:input_elden}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
+mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
+mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
+number density of $O^+$&   $n(O^+)$         & $\#/cm^3$   & midpoints  &$t_n $ \\
+number density of $O^{+,t_n+\Delta t}$&   $n(O^+)$         & $\#/cm^3$   & midpoints  &$t_n $ \\
+number density of $N(^2D)$&   $n(N(^2D))$  & $\#/cm^3$   & midpoints  &$t_n$ \\
+number density of $NO$&   $n(NO)$  & $\#/cm^3$   & midpoints  &$t_n$ \\
+number density of $N(^4S)$&   $n(N(^4S))$  & $\#/cm^3$   & midpoints  &$t_n$ \\
+number density of $XI O^+(^2P)$&   $n(XI O^+(^2P))$  & $\#/cm^3$   & midpoints  &$t_n+ \Delta t$ \\
+number density of $XI O^+(^2D)$&   $n(XI O^+(^2D))$  & $\#/cm^3$   &
+midpoints &$t_n+ \Delta t$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine elden}}
+\label{tab:input_elden}
+\end{table}
+%
+The output of \src{subroutine settei} is summarized in table
+\ref{tab:output_elden}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+number density of $N^+$    & $n(N^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
+number density of $N_2^+$    & $n(N_2^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
+number density of $NO^+$    & $n(NO^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
+number density of $O_2^+$    & $n(O_2^+)$   & $\#/cm^3$   & midpoints  & $t_n+\Delta t$ \\
+electron density     & $N_e$   & $\#/cm^3$   & midpoints  &
+$t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine elden}}
+\label{tab:output_elden}
+\end{table}
+%
+%
+The module data of \src{subroutine elden} is summarized in table
+\ref{tab:module_elden}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline QRJ: production due to $N^+$ &
+{$Q(N^+)$}
+&$cm^{-3}s^{-1}$ & interfaces & $t_n$  \\
+QRJ: production due to $NO^+$ & {$Q(NO^+)$}
+&$cm^{-3}s^{-1}$ & interfaces & $t_n$  \\
+CHEMRATES: reaction rates & {$k_i$}
+&$cm^{3}s^{-1}$ & midpoints & $-$  \\
+CHEMRATES: N) production coefficient & {$\beta_9$} &$s^{-1}$ & interface & $-$ 
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine elden}}
+\label{tab:module_elden}
+\end{table}
+%
+
+The electron density is calculated by
+%
+\begin{align}
+  N_e = n(O^+) + n(N_2^+) + n(N^+) + n(O_2^+)+ n(NO^+)
+\end{align}
+%
+with
+%
+\begin{align}
+  n(O^+) = & F \\
+  n(N_2^+) = & \frac{D}{E' + \alpha_3 N_e} \\
+  n(N^+) = & G \\
+  n(O_2^+) = & \frac{B+\frac{HD}{E' + \alpha_3 N_e}}{C+ \alpha_2 N_e}
+  \\
+  n(NO^+) =&  \left[ A + \frac{E' D - HD}{E' + \alpha_3 N-e} + \frac{C}{C+ \alpha_2 N-e}
+     \frac{B+HD}{E' + \alpha_3 N_e} \right] \frac{1}{\alpha_1 N_e}
+\end{align}
+%
+ This leads to an
+fourth order equation
+%
+\begin{align}
+  a_4 N_e^4 + a_3 N_e^3 + a_2 N_e + a_1 N_e + a_0 = 0
+\end{align}
+%
+with
+%
+\begin{align}
+   a_4 = & \alpha_1 \alpha_2 \alpha_3 \\
+   a_3 = & \alpha_1 (\alpha_2 E' + \alpha_3 C) - \alpha_1 \alpha_2
+       \alpha_3 (F + G) \\
+   a_2 = & \alpha_1 E' C - \alpha_1 (\alpha_2 E' + \alpha_3 C) (F+G)
+        - \alpha_1 \alpha_2 D - \alpha_2 \alpha_3 A - \alpha_1
+        \alpha_3 B \\
+   a_1 = & - \alpha_1 \left[ E' C (F+G) + D C + B E' + H D\right] -
+         \notag \\
+        {} & \alpha_2 \left[ E' (A + D) - H D \right] - \alpha_3 C (A +
+        B)\\
+   a_0 =  & - E' C (A + B + D)
+\end{align}
+%
+and
+%
+\begin{align}
+  A = & Q(NO^+) + k_2 n(O^+)n(N_2) + k_7 n(N^+)n(O_2) + \beta_9
+       n(NO)\\
+  B = & Q(O_2^+)+ k_1 n(O^+)+ n(O_2) + k_6 n(N^+)n(O_2) + \notag \\
+       {} & k_{26}n(O_2)n(xiO^+(^2D)) \\
+  C = & k_4 n(N(^4S)) + k_5 n(NO) \\
+  D = & Q(N_2^+) + n(N_2)\left[ k_{16}n(xiO^+(^2P) +
+       k_{23}n(xiO^+(^2D))\right] \\
+  E = & k_3 n(O) \\
+  F = & n(O^+)  \\
+  G = & n(N^+)  \\
+  H = & k_9 n(O_2) \\
+  E' = & E + H
+\end{align}
+%
+Then the electron density is
+%
+\begin{align}
+  N_e = F + \frac{D}{E' + \alpha_3 N_e} + G + \frac{B}{C+ \alpha_2
+  N_e} + \frac{HD}{(E' + \alpha_3 N_e)(C+ \alpha_2 N_e)}+ \notag \\ \frac{1}{\alpha_1 N_e}
+  \left[ A + \frac{E' D - HD}{E' + \alpha_3 N_e}+
+  \frac{CB}{C+ \alpha_2 N_e}+ \frac{CHD}{(E' + \alpha_3 N_e)(C+\alpha_2 N_e)}\right]
+\end{align}
+%
+The values $A, B, C, D, E, F, G$ and $H$ are evaluated at midpoint
+level
+%
+\begin{align}
+  A(z+\frac{1}{2} \Delta z) = & \frac{1}{2}( Q(NO^+)(z)+Q(NO^+)(z+ \Delta z))
+  + \notag \\
+       {} & N\overline{m} \left[ k_2 n(O^+)^{t+\Delta t}\frac{\Psi_{N_2}}{m_{N_2}} +
+       k_7 n(N^+)\frac{\Psi_{O_2}}{m_{O_2}}\right] + \notag \\
+       {} & \frac{1}{2}\left[\beta_9(z) + \beta_9(z+\Delta z)\right]
+       \frac{\Psi_{NO}}{m_{NO}}\\
+  B(z+\frac{1}{2} \Delta z) = & \frac{1}{2}(Q(O_2^+)(z)+Q(O_2^+)(z+ \Delta z)
+  )+ \notag \\
+   {} & N \overline{m} [ k_1 n(O^+)^{T+\Delta t} + k_6 n(N^+)+
+   \notag \\
+    {} & k_{26}n(xiO^+(^2D)) ]\frac{\Psi_{O_2}}{m_{O_2}} \\
+  C(z+\frac{1}{2} \Delta z) = & N\overline{m} \left[ k_4 \frac{\Psi_{N(^4S)}}{m_{N(^4S)}} +
+                               k_5 \frac{\Psi_{NO}}{m_{NO}}\right]
+                               \\
+  D(z+\frac{1}{2} \Delta z) = & frac{1}{2}\left[Q(N_2^+)(z) + Q(N_2^+)(z+ \Delta z)
+  \right]+ \notag \\
+          {} &          N\overline{m} \frac{\Psi_{N_2}}{m_{N_2}}\left[ k_{16}n(xiO^+(^2P) +
+       k_{23}n(xiO^+(^2D)))\right] \\
+  E'(z+\frac{1}{2} \Delta z) = & N\overline{m} \left[ k_3 \frac{\Psi_{O}}{m_{O}} +
+                               k_9 \frac{\Psi_{O_2}}{m_{O_2}}\right]\\
+  (F+G)(z+\frac{1}{2} \Delta z) = & n(O^+)+  n(N^+) \\
+  H(z+\frac{1}{2} \Delta z)= & N\overline{m} k_9 \frac{\Psi_{O_2}}{m_{O_2}}
+\end{align}
+%
+%
+First the conversion factor from mass mixing ratio to number density
+is calculated at the midpoint level
+%
+\begin{align}
+  N \overline{m}(z+ \frac{1}{2}\Delta z) =
+        \frac{p_o e^{-z - \frac{1}{2} \Delta z}\overline{m}(z + \Delta z)}
+                    {k_B T_n(z + \Delta z)}
+\end{align}
+%
+The mass mixing ratio of $N_2$ at the midpoint level is determined
+by
+%
+\begin{align}
+  \Psi(N_2)(z+ \frac{1}{2}\Delta z) = 1- \Psi(O_2)(z+ \frac{1}{2}\Delta z) - \Psi(O)(z+ \frac{1}{2}\Delta z)
+\end{align}
+%
+The number density of $N^+$ is
+%
+\begin{align}
+  n(N^+) = \frac{Q(N^+) + k_{10}n(O^+)n(N(^2D))}{(k_6 + k_7)n(O_2) + k_8 n(O)}
+\end{align}
+%
+which is calculated  at the midpoint level in the code by
+%
+\begin{align}
+  n(N^+)(z+ \frac{1}{2}\Delta z) =  \frac{ \frac{1}{2}\left[Q(N^+)(z) + Q(N^+)(z+ \Delta z) \right] +
+         k_{10}n(O^+)N \overline{m} \frac{\Psi(N(^2D))}{m_{N(^2D)}}}
+         {N \overline{m}(k_6 + k_7)\frac{\Psi(O_2)}{m_{O_2}} + k_8
+         \frac{\Psi(O)}{m_{O}}}
+\end{align}
+%
+The quadric solver solves for the electron density $N_e$, with $N_e
+\geq 3 \cdot 10^3$. Then, the number densities of $N_2^+$, $O_2^+$
+and $NO^+$ can be determined on the midpoint level
+%
+\begin{align}
+  n(N_2^+) = & \frac{D}{E' + \alpha_3 N_e} \\
+  n(O_2^+) = & \left[ B + \frac{HD}{E' + \alpha_3 N_e}
+               \right]\frac{1}{C+\alpha_2 N_e} \\
+  n(NO^+) = & \frac{A + \frac{D(E' - H)}{E'+ \alpha_3 N_e} + C \left( B+ \frac{HD}{E' + \alpha_3 N_e}\right)}
+  {C+\alpha_2 N_e} \frac{1}{\alpha_1 N_e}
+\end{align}
+%
+with $N_e$ still on the midpoint level. The electron density at the
+interface level is determined by
+%
+\begin{align}
+  N_e (z) = \sqrt{N_e(z-\frac{1}{2}\Delta z) N_e(z+\frac{1}{2}\Delta z)}
+\end{align}
+%
+with the midpoint level  $z-\frac{1}{2}\Delta z$ denoted by index
+$k$,  $z+\frac{1}{2}\Delta z$ then by the height index $k+1$, and on
+the interface level $z$ has the index $k+1$. The upper and lower
+boundary are set by
+%
+\begin{align}
+  N_e (z_{bot}) = \sqrt{\frac{N_e^3(z_{bot}+\frac{1}{2}\Delta z)}{N_e(z_{bot}+\frac{3}{2}\Delta
+  z)}} \\
+  N_e (z_{top}) = \sqrt{\frac{N_e^3(z_{top}-\frac{1}{2}\Delta z)}{N_e(z_{top}-\frac{3}{2}\Delta
+  z)}}
+\end{align}
+%
diff --git a/doc/description/fieldline.tex b/doc/description/fieldline.tex
index 792483e..323fa15 100644
--- a/doc/description/fieldline.tex
+++ b/doc/description/fieldline.tex
@@ -244,8 +244,8 @@ \section{Field line Integration}\label{cap:fieldlineintg}
 %
 \end{tabular}
 \caption{Field line integrated quantities in 
-\src{subroutine fieldline\_integrals}}
-\label{tab:fldline_quantities}
+\src{subroutine fieldline\_integrals}}
+\label{tab:fldline_quantities}
 \end{table} 
 % 
 The field line integration is
@@ -459,8 +459,8 @@ \section{Field line Integration}\label{cap:fieldlineintg}
 %
 \end{tabular}
 \caption{Quantities after the transformation at the end of  
-\src{subroutine transf}}
-\label{tab:transf_quantities}
+\src{subroutine transf}}
+\label{tab:transf_quantities}
 \end{table} 
 % 
 The polar values of the conductances are calculated by extrapolated weighting e.g. for a 
diff --git a/doc/description/finitediff.tex b/doc/description/finitediff.tex
index e15bd37..0dadb88 100644
--- a/doc/description/finitediff.tex
+++ b/doc/description/finitediff.tex
@@ -326,8 +326,8 @@ \section{Finite Differencing}\label{chap:finitediff}
 %
 \end{tabular}
 \caption{Contributions from conductance terms to nine point stencil using central differencing
-for all terms (see \src{subroutine cnm} and \src{subroutine cnmmod})}
-\label{tab:stencil}
+for all terms (see \src{subroutine cnm} and \src{subroutine cnmmod})}
+\label{tab:stencil}
 %\end{table}
 \end{sidewaystable} 
 %
@@ -407,8 +407,8 @@ \section{Finite Differencing}\label{chap:finitediff}
 %
 \end{tabular}
 \caption{Modification to stencil due to upwinding with positive flux $f_l >0$
-in \src{subroutine cnm} and \src{subroutine cnmmod}}
-\label{tab:stencil_upp}
+in \src{subroutine cnm} and \src{subroutine cnmmod}}
+\label{tab:stencil_upp}
 \end{table} 
 %
 \begin{table}[tb]
@@ -424,8 +424,8 @@ \section{Finite Differencing}\label{chap:finitediff}
 %
 \end{tabular}
 \caption{Modification to stencil due to upwinding with negative flux $f_l <0$
-in \src{subroutine cnm} and \src{subroutine cnmmod}}
-\label{tab:stencil_upm}
+in \src{subroutine cnm} and \src{subroutine cnmmod}}
+\label{tab:stencil_upm}
 \end{table} 
 %
 \paragraph{Equatorial boundary}\label{finite_equator}
@@ -523,8 +523,8 @@ \section{Finite Differencing}\label{chap:finitediff}
 %
 \end{tabular}
 \caption{Modification to stencil at the equator (see
- \src{subroutine cnm} or \src{subroutine cnmmod} )}
-\label{tab:stencil_eq}
+ \src{subroutine cnm} or \src{subroutine cnmmod} )}
+\label{tab:stencil_eq}
 \end{table} 
 \\
 
@@ -543,8 +543,8 @@ \section{Finite Differencing}\label{chap:finitediff}
 4 &c4 & 6 &  4& 9 \\ \hline
 %
 \end{tabular}
-\caption{Coefficient matrix name and dimensions at the different grid levels}
-\label{tab:c_level}
+\caption{Coefficient matrix name and dimensions at the different grid levels}
+\label{tab:c_level}
 \end{table} 
 %
 On the finest grid level the right hand side is stored in $c0(:,:,10)$.
diff --git a/doc/description/get_documents/divrg_hanli_23july08.tex b/doc/description/get_documents/divrg_hanli_23july08.tex
index 77f4ddf..fea2df5 100644
--- a/doc/description/get_documents/divrg_hanli_23july08.tex
+++ b/doc/description/get_documents/divrg_hanli_23july08.tex
@@ -1,89 +1,89 @@
-%
-\section{Calculation vertical velocity $W$ / \index{SWDOT.F},  \index{DIVRG.F}}\label{cap:divrg}
-%
-The input to \src{subroutine swdot} is summarized in table
-\ref{tab:input_swdot}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity &       $\cos \lambda v_n$              & $cm/s$   &  midpoints & $t_n$\\
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine swdot}}
-\label{tab:input_swdot}
-\end{table}
-%
-The output of \src{subroutine swdot} is summarized in table
-\ref{tab:output_swdot}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline 'dimensionless' vertical velocity &
-$W$ & $1/s$ & interfaces  & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine swdot}}
-\label{tab:output_swdot}
-\end{table}
-%
-The vertical velocity is calculated by solving the continuity
-equation assuming linearity and incompressibility of the
-thermospheric neutral gas. The continuity equation takes the
-following form
-%
-\begin{align}
-  \frac{1}{R \cos \lambda} \frac{\partial}{\partial \lambda} (\cos \lambda
-  v_n) + \frac{1}{R \cos \lambda } \frac{\partial u_n}{\partial
-  \phi} + e^z \frac{\partial}{\partial Z}(e^{-z}W) = 0
-\end{align}
-%
-with the 'dimensionless' vertical velocity is $W= \frac{dZ}{dt}$.
-The 'real' vertical velocity $w$ is obtained by integrating the
-continuity equation over $Z$ to get $W$, and then multiply $W$ by
-the scale height $H$. \\
-
-The horizontal divergence $\nabla_H \cdot \mathbf{v}_n $ is
-calculated in \src{subroutine divrg}.
-%
-\begin{align}
-  \nabla_H \cdot \mathbf{v}_n = & \frac{1}{R_E \cos \lambda} [ \frac{2}{3 \Delta \phi}\left[ u_n(\phi+ \Delta \phi,\lambda)
-    u_n(\phi- \Delta \phi,\lambda)\right] - \notag \\
-    {}&  \frac{1}{12 \Delta \phi}\left[ u_n(\phi+ 2\Delta \phi,\lambda)
-    u_n(\phi- 2\Delta \phi,\lambda)\right] \notag \\
-  {} & \frac{2}{3 \Delta \phi}\left[ \cos (\lambda + \Delta \lambda) v_n(\phi,\lambda + \Delta \lambda)
-    cos (\lambda - \Delta \lambda) v_n(\phi,\lambda - \Delta \lambda)\right]
-    - \notag \\
-   {} & \frac{1}{12 \Delta \lambda}\left[ v_n(\phi,\lambda+2\Delta \lambda)
-    v_n(\phi,\lambda-2 \Delta \lambda)\right]]
-\end{align}
-%
-The integration is done by an integration from the top to the bottom of
-the model, with the condition at the upper boundary being
-%
-\begin{align}
-  \frac{\partial w}{\partial z} = 0
-\end{align}
-%
-and in descritized form
-%
-\begin{align}
-  W(z_{top}) = \nabla_H \cdot \mathbf{v}_n(z_{top}-\frac{1}{2} \Delta z)
-\end{align}
-%
-and then do the integration ?????
-%
-\begin{align}
-  W(z - \Delta z) = e^{-\frac{1}{2}z}\left[e^{-\frac{1}{2}z}W(z - 2\Delta z)+ \Delta z
-  \nabla_H \cdot \mathbf{v}_n(z+\frac{1}{2} \Delta
-  z)\right]
-\end{align}
-%
-The vertical velocity $W$ is then filtered in longitude to remove
-the high wave numbers. The filter is in \src{subroutine filter\_w}
-and is part of the file \src{swdot.F}.
+%
+\section{Calculation vertical velocity $W$ / \index{SWDOT.F},  \index{DIVRG.F}}\label{cap:divrg}
+%
+The input to \src{subroutine swdot} is summarized in table
+\ref{tab:input_swdot}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral zonal velocity &       $u_n$              & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity &       $\cos \lambda v_n$              & $cm/s$   &  midpoints & $t_n$\\
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine swdot}}
+\label{tab:input_swdot}
+\end{table}
+%
+The output of \src{subroutine swdot} is summarized in table
+\ref{tab:output_swdot}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline 'dimensionless' vertical velocity &
+$W$ & $1/s$ & interfaces  & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine swdot}}
+\label{tab:output_swdot}
+\end{table}
+%
+The vertical velocity is calculated by solving the continuity
+equation assuming linearity and incompressibility of the
+thermospheric neutral gas. The continuity equation takes the
+following form
+%
+\begin{align}
+  \frac{1}{R \cos \lambda} \frac{\partial}{\partial \lambda} (\cos \lambda
+  v_n) + \frac{1}{R \cos \lambda } \frac{\partial u_n}{\partial
+  \phi} + e^z \frac{\partial}{\partial Z}(e^{-z}W) = 0
+\end{align}
+%
+with the 'dimensionless' vertical velocity is $W= \frac{dZ}{dt}$.
+The 'real' vertical velocity $w$ is obtained by integrating the
+continuity equation over $Z$ to get $W$, and then multiply $W$ by
+the scale height $H$. \\
+
+The horizontal divergence $\nabla_H \cdot \mathbf{v}_n $ is
+calculated in \src{subroutine divrg}.
+%
+\begin{align}
+  \nabla_H \cdot \mathbf{v}_n = & \frac{1}{R_E \cos \lambda} [ \frac{2}{3 \Delta \phi}\left[ u_n(\phi+ \Delta \phi,\lambda)
+    u_n(\phi- \Delta \phi,\lambda)\right] - \notag \\
+    {}&  \frac{1}{12 \Delta \phi}\left[ u_n(\phi+ 2\Delta \phi,\lambda)
+    u_n(\phi- 2\Delta \phi,\lambda)\right] \notag \\
+  {} & \frac{2}{3 \Delta \phi}\left[ \cos (\lambda + \Delta \lambda) v_n(\phi,\lambda + \Delta \lambda)
+    cos (\lambda - \Delta \lambda) v_n(\phi,\lambda - \Delta \lambda)\right]
+    - \notag \\
+   {} & \frac{1}{12 \Delta \lambda}\left[ v_n(\phi,\lambda+2\Delta \lambda)
+    v_n(\phi,\lambda-2 \Delta \lambda)\right]]
+\end{align}
+%
+The integration is done by an integration from the top to the bottom of
+the model, with the condition at the upper boundary being
+%
+\begin{align}
+  \frac{\partial w}{\partial z} = 0
+\end{align}
+%
+and in descritized form
+%
+\begin{align}
+  W(z_{top}) = \nabla_H \cdot \mathbf{v}_n(z_{top}-\frac{1}{2} \Delta z)
+\end{align}
+%
+and then do the integration ?????
+%
+\begin{align}
+  W(z - \Delta z) = e^{-\frac{1}{2}z}\left[e^{-\frac{1}{2}z}W(z - 2\Delta z)+ \Delta z
+  \nabla_H \cdot \mathbf{v}_n(z+\frac{1}{2} \Delta
+  z)\right]
+\end{align}
+%
+The vertical velocity $W$ is then filtered in longitude to remove
+the high wave numbers. The filter is in \src{subroutine filter\_w}
+and is part of the file \src{swdot.F}.
diff --git a/doc/description/ionvel.tex b/doc/description/ionvel.tex
index 98f3d18..20bd2db 100644
--- a/doc/description/ionvel.tex
+++ b/doc/description/ionvel.tex
@@ -1,120 +1,120 @@
-%
-\section{Electrodynamic drift velocity calculation  \index{IONVEL.F}}\label{cap:ionvel}
-%
-The input to \src{subroutine ionvel} is summarized in table
-\ref{tab:input_ionvel}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-electric field: east-,north-, upward&       {}     & $$   &   & \\
-geomagnetic direction on geographic grid & $R*E_{m \phi}, R*E_{m
-\lambda},2 \Delta z * E_{z}$  & $V$   & interface  & $t_{n}$ \\
-geomagnetic field (north-, east-, downward) &       {$B_x, B_y, B_z$} & $Gauss$   & -  & -\\
-geomagnetic field strength &       {B}     & $Gauss$   &  - & -\\
-Jacobian &       $\mathbf{J}_{mag} = \frac{\partial
-s_{mag}}{\partial s_{geo}}$     & -   &  - & -
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine ionvel}}
-\label{tab:input_ionvel}
-\end{table}
-%
-The output of \src{subroutine ionvel} is summarized in table
-\ref{tab:output_ionvel}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-electric field: geographic east-,north-, upward&       {}     & $$   &   & \\
-on geographic grid & $E_{x}, E_{y}, E_{z}$  & $V/cm$   & interface &
-        $t_{n}$ \\
-electromagnetic drift velocity (geographic east-,north-, upward) &
-        $v_{ExB,x}, v_{ExB,y}, v_{ExB,z}$ & cm/s   &  interface & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine ionvel}}
-\label{tab:output_ionvel}
-\end{table}
-%
-Firstly, the electric field input to this subroutine $R*E_{m \phi},
-R*E_{m \lambda},\Delta z * E_{z}$ which is the electric field on the
-geographic grid but in geomagnetic direction is rotated into the
-geographic direction by using the Jacobian matrix
-$\mathbf{J}_{mag}$.
-%
-\begin{gather}
-   \mathbf{J}_{mag} = \frac{\partial s_{mag}}{\partial s_{geo}} =
-   \begin{pmatrix}
-      \frac{\cos \lambda_m}{\cos \lambda_g} \frac{d \phi_m}{d \phi_g} & {\cos \lambda_m}\frac{d \phi_m}{d \lambda_g}\\
-      \frac{1}{\cos \lambda_g} \frac{d \lambda_m}{d \phi_g}&\frac{\lambda_m}{\lambda_g}
-   \end{pmatrix}
-\end{gather}
-%
-with the geographic coordinate system denoted by $s_{geo}$ and the
-geomagnetic coordinate system denoted by $s_{mag}$. The Jacobian
-matrix is calculated in the \src{subroutine apex} by using the
-eastward $\mathbf{f}_1$ and northward $\mathbf{f}_2$ base vector for
-quasi--dipole coordinates as defined in \cite{Richmond95}.
-%
-\begin{gather}
-   \mathbf{J}_{mag} =
-   \begin{pmatrix}
-      \mathbf{f}_{2}(2) & \mathbf{f}_2(1)\\
-      -\mathbf{f}_1(2)  & \mathbf{f}_1(1)
-   \end{pmatrix}
-\end{gather}
-%
-\emph{check the Jacobian stuff, how does this fit together the two
-matrices????????}. \\
-
-%
-The electric field [V/cm] in geographic direction is
-$\mathbf{E}_{geo} = \mathbf{J}_{mag} \mathbf{E}_{mag}$ ??????? with
-$\mathbf{E}_{geo} = (E_x,E_y,E_z)^T$.
-%
-\begin{align}
-     E_x  = & \frac{1}{R}\left[ j_{11} R* E_{m \phi} + j_{21} R* E_{m \lambda} \right]\\
-     E_y  = & \frac{1}{R}\left[ j_{12} R* E_{m \phi} + j_{22} R* E_{m \lambda} \right]\\
-     E_z  = & \frac{2 \Delta z * E_{z}}{2 \Delta z}
-\end{align}
-%
-with the radius $R = R_E + z$, and $2 \Delta z = z_{k+1}-z_{k-1}$.
-The electric field is extrapolated at the lower and upper boundary
-with the height index $k_{bot}$ and $k_{top}$.
-%
-\begin{align}
-     E_z(z_{bot})    = & 2 E_z(z_{bot}+\Delta z)-E_z(z_{bot}+2 \Delta z) \\
-     E_z(z_{top})    = & 2 E_z(z_{top}-\Delta z)-E_z(z_{top}-2 \Delta z)
-\end{align}
-%
-The height $z_{bot}$ corresponds to $k_{bot}$, and $z_{top}$ to
-$k_{top}$ with $z_{bot}+ \Delta z $ is $k_{bot}+ 1$, and $z_{top}-
-\Delta z $ is $k_{top}- 1$ etc. The electrodynamic drift velocity is
-determined by
-%
-\begin{align}
-     \mathbf{v}_{ExB} = - \frac{\mathbf{E}\times \mathbf{B}}{B^2}
-\end{align}
-%
-The components of $\mathbf{B}$ are $B_x, B_y, \text{and} B_z$ in
-northward, eastward and downward direction. To be consistent with
-the geographic direction the magnetic field vector reads $(B_y, B_x,
-- B_z)^T$.
-%
-\begin{align}
-     v_{ExB,x}  = & - \frac{E_y B_z + E_z B_x}{B^2}\\
-     v_{ExB,y}  = &   \frac{E_z B_y + E_x B_z}{B^2}\\
-     v_{ExB,z}  = &   \frac{E_x B_x - E_y B_y}{B^2}\\
-\end{align}
-%
-In the code a factor of $10^6$ is used to convert from $[\frac{V}{cm
-Gauss}]$ to $[\frac{V}{m T}] = [m/s]$. However, after the periodic
-points are set the electrodynamic drift velocity is converted back
-from m/s to $[cm/s]$
+%
+\section{Electrodynamic drift velocity calculation  \index{IONVEL.F}}\label{cap:ionvel}
+%
+The input to \src{subroutine ionvel} is summarized in table
+\ref{tab:input_ionvel}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+electric field: east-,north-, upward&       {}     & $$   &   & \\
+geomagnetic direction on geographic grid & $R*E_{m \phi}, R*E_{m
+\lambda},2 \Delta z * E_{z}$  & $V$   & interface  & $t_{n}$ \\
+geomagnetic field (north-, east-, downward) &       {$B_x, B_y, B_z$} & $Gauss$   & -  & -\\
+geomagnetic field strength &       {B}     & $Gauss$   &  - & -\\
+Jacobian &       $\mathbf{J}_{mag} = \frac{\partial
+s_{mag}}{\partial s_{geo}}$     & -   &  - & -
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine ionvel}}
+\label{tab:input_ionvel}
+\end{table}
+%
+The output of \src{subroutine ionvel} is summarized in table
+\ref{tab:output_ionvel}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+electric field: geographic east-,north-, upward&       {}     & $$   &   & \\
+on geographic grid & $E_{x}, E_{y}, E_{z}$  & $V/cm$   & interface &
+        $t_{n}$ \\
+electromagnetic drift velocity (geographic east-,north-, upward) &
+        $v_{ExB,x}, v_{ExB,y}, v_{ExB,z}$ & cm/s   &  interface & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine ionvel}}
+\label{tab:output_ionvel}
+\end{table}
+%
+Firstly, the electric field input to this subroutine $R*E_{m \phi},
+R*E_{m \lambda},\Delta z * E_{z}$ which is the electric field on the
+geographic grid but in geomagnetic direction is rotated into the
+geographic direction by using the Jacobian matrix
+$\mathbf{J}_{mag}$.
+%
+\begin{gather}
+   \mathbf{J}_{mag} = \frac{\partial s_{mag}}{\partial s_{geo}} =
+   \begin{pmatrix}
+      \frac{\cos \lambda_m}{\cos \lambda_g} \frac{d \phi_m}{d \phi_g} & {\cos \lambda_m}\frac{d \phi_m}{d \lambda_g}\\
+      \frac{1}{\cos \lambda_g} \frac{d \lambda_m}{d \phi_g}&\frac{\lambda_m}{\lambda_g}
+   \end{pmatrix}
+\end{gather}
+%
+with the geographic coordinate system denoted by $s_{geo}$ and the
+geomagnetic coordinate system denoted by $s_{mag}$. The Jacobian
+matrix is calculated in the \src{subroutine apex} by using the
+eastward $\mathbf{f}_1$ and northward $\mathbf{f}_2$ base vector for
+quasi--dipole coordinates as defined in \cite{Richmond95}.
+%
+\begin{gather}
+   \mathbf{J}_{mag} =
+   \begin{pmatrix}
+      \mathbf{f}_{2}(2) & \mathbf{f}_2(1)\\
+      -\mathbf{f}_1(2)  & \mathbf{f}_1(1)
+   \end{pmatrix}
+\end{gather}
+%
+\emph{check the Jacobian stuff, how does this fit together the two
+matrices????????}. \\
+
+%
+The electric field [V/cm] in geographic direction is
+$\mathbf{E}_{geo} = \mathbf{J}_{mag} \mathbf{E}_{mag}$ ??????? with
+$\mathbf{E}_{geo} = (E_x,E_y,E_z)^T$.
+%
+\begin{align}
+     E_x  = & \frac{1}{R}\left[ j_{11} R* E_{m \phi} + j_{21} R* E_{m \lambda} \right]\\
+     E_y  = & \frac{1}{R}\left[ j_{12} R* E_{m \phi} + j_{22} R* E_{m \lambda} \right]\\
+     E_z  = & \frac{2 \Delta z * E_{z}}{2 \Delta z}
+\end{align}
+%
+with the radius $R = R_E + z$, and $2 \Delta z = z_{k+1}-z_{k-1}$.
+The electric field is extrapolated at the lower and upper boundary
+with the height index $k_{bot}$ and $k_{top}$.
+%
+\begin{align}
+     E_z(z_{bot})    = & 2 E_z(z_{bot}+\Delta z)-E_z(z_{bot}+2 \Delta z) \\
+     E_z(z_{top})    = & 2 E_z(z_{top}-\Delta z)-E_z(z_{top}-2 \Delta z)
+\end{align}
+%
+The height $z_{bot}$ corresponds to $k_{bot}$, and $z_{top}$ to
+$k_{top}$ with $z_{bot}+ \Delta z $ is $k_{bot}+ 1$, and $z_{top}-
+\Delta z $ is $k_{top}- 1$ etc. The electrodynamic drift velocity is
+determined by
+%
+\begin{align}
+     \mathbf{v}_{ExB} = - \frac{\mathbf{E}\times \mathbf{B}}{B^2}
+\end{align}
+%
+The components of $\mathbf{B}$ are $B_x, B_y, \text{and} B_z$ in
+northward, eastward and downward direction. To be consistent with
+the geographic direction the magnetic field vector reads $(B_y, B_x,
+- B_z)^T$.
+%
+\begin{align}
+     v_{ExB,x}  = & - \frac{E_y B_z + E_z B_x}{B^2}\\
+     v_{ExB,y}  = &   \frac{E_z B_y + E_x B_z}{B^2}\\
+     v_{ExB,z}  = &   \frac{E_x B_x - E_y B_y}{B^2}\\
+\end{align}
+%
+In the code a factor of $10^6$ is used to convert from $[\frac{V}{cm
+Gauss}]$ to $[\frac{V}{m T}] = [m/s]$. However, after the periodic
+points are set the electrodynamic drift velocity is converted back
+from m/s to $[cm/s]$
diff --git a/doc/description/lamdas.tex b/doc/description/lamdas.tex
index 0f28179..ec2c32a 100644
--- a/doc/description/lamdas.tex
+++ b/doc/description/lamdas.tex
@@ -83,13 +83,13 @@ \section{Ion drag calculation  \index{LAMDAS.F}}\label{cap:lamdas}
 %
 \begin{align}
  \frac{1}{N_{O_2}} \nu_{O_2^+ - O_2} &= 2.59\times 10^{-11}\sqrt{\frac{T_i +
- T_n}{2}}\left[ 1-0.073 log_{10}{\frac{T_i +
- T_n}{2}}\right]^2  \\
+ T_e}{2}}\left[ 1-0.73 log_{10}\sqrt{\frac{T_i +
+ T_e}{2}}\right]^2  \\
 \frac{1}{N_{O_2}} \nu_{O^+ - O_2}  &=6.64\times 10^{-10}  \\
 \frac{1}{N_{O_2}} \nu_{NO^+ - O_2} &=4.27\times 10^{-10}  \\
 \frac{1}{N_{O}} \nu_{O^+ - O}      &=3.67\times
-10^{-11}\sqrt{\frac{T_i + T_n}{2}}[ 1- 
-  0.064 log_{10}{\frac{T_i +T_n}{2}}]^2  f_{cor}  \\
+10^{-11}\sqrt{\frac{T_i + T_e}{2}}[ 1- 
+  0.064 log_{10}\sqrt{\frac{T_i +T_e}{2}}]^2  f_{cor}  \\
 \frac{1}{N_{O}} \nu_{NO^+ - O}    &=2.44\times 10^{-10}  \\
 \frac{1}{N_{O}} \nu_{O_2^+ - O}   &=2.31\times 10^{-10}  \\
 \frac{1}{N_{N_2}} \nu_{O_2^+ - N_2}&=4.13\times 10^{-10} \\
@@ -249,7 +249,7 @@ \section{Ion drag calculation  \index{LAMDAS.F}}\label{cap:lamdas}
 with the x--direction in magnetic east, and y--direction magnetic
 north. The inclination of the geomagnetic
 field lines is $I$. Note that in the code lyxnorot
-[= $\lambda^{mag}_{yx}$] has a sign change, but is not used, being
+[= $\lambda^{mag}_{yx}$] has the wrong sign, but is not used, being
 replaced by -lxynorot [$= -\lambda^{mag}_{xy}$].  The
 ion drag tensor can be rotated in geographic direction by using the
 rotation matrix $\mathbf{R}$
@@ -265,8 +265,6 @@ \section{Ion drag calculation  \index{LAMDAS.F}}\label{cap:lamdas}
 with the declination $D$ of the geomagnetic field. Applying the
 rotation to the ion drag tensor
 $\mathbf{R}\underline{\lambda}^{mag}\mathbf{R}^{-1}$ leads to
- (Note that in the code $\lambda_{yx}(code) = -\lambda_{yx}$ but this
- sign change is taken into account in the momentum equation)
 %
 \begin{gather}
   \Lambda =
diff --git a/doc/description/mapping.tex b/doc/description/mapping.tex
index e6b807c..765cf26 100644
--- a/doc/description/mapping.tex
+++ b/doc/description/mapping.tex
@@ -81,8 +81,8 @@ \section{Apex Coordinates}\label{cap:apex_coord}
 $ D(h_0)$              & $|\mathbf{d}_1\times \mathbf{d}_2|$ &   -  \\ \hline
 \end{tabular}
 \caption{Apex quantities calculated in \src{subroutine apxparm} and used for the
-calculation of the electric potential}
-\label{tab:apxparm_dynamo}
+calculation of the electric potential}
+\label{tab:apxparm_dynamo}
 \end{table}  
 %
 %-------------------------------------------------------------------------------------------
@@ -148,8 +148,8 @@ \section{Mapping from and to the geomagnetic grid}
 ${u}_{e1}, {u}_{e2} $                     & neutral wind components & $\frac{m}{s}$ & 3D   \\ \hline
 %
 \end{tabular}
-\caption{Mapped fields in \src{subroutine transf}}
-\label{tab:map_transf}
+\caption{Mapped fields in \src{subroutine transf}}
+\label{tab:map_transf}
 \end{table}  
 %
 The lower boundary of the TIEGCM model (up to version 1.8) 
diff --git a/doc/description/minor.tex b/doc/description/minor.tex
index 6604285..fb82245 100644
--- a/doc/description/minor.tex
+++ b/doc/description/minor.tex
@@ -1,624 +1,624 @@
-%
-\section{Calculation minor species $N(^4S)$ and $NO$, (and $HOx$ in TIMEGCM) \index{MINOR.F}}\label{cap:minor}
-%
-The input to \src{subroutine minor} is summarized in table
-\ref{tab:input_minor}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-mass mixing ratio $O_2$ &   $\Psi(O_2)$        & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$   &   $\Psi(O)$          & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $X$   &   $\Psi(X)^{t_n}$    & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $X$   &   $\Psi(X)^{t_n+\Delta t}$ & $-$   &  midpoints & $t_n+ \Delta t$\\
-upward number flux at upper boundary &       $F_x^{upw,top}$              & $\#/cm^3$   &  $z_{top}$ & $t_n+\Delta t$\\
-diffusive vector &       $D_v$              & $???$   &  midpoints?? & $t_n??$\\
-molecular weight of species $X$ &       $m_X$              & $g/mole$   &  - & $-$\\
-thermal diffusion coefficient &       $D_T$              & $???$   &  midpoints??? & $t_n???$\\
-loss of $X$ &       $L_X$              & $???$   &  midpoints??? & $t_n????$\\
-production of $X$&       $P_X$              & $???$   &  midpoints??? & $t_n???$\\
-???coefficient of upward flux $A,B, C$ &
-        $A \frac{\partial \Psi_X}{\partial Z}+ B \Psi_X + C = 0$              & $???$   &  $z_{bot}$ & $t_n+\Delta t$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine minor}}
-\label{tab:input_minor}
-\end{table}
-%
-The output of \src{subroutine minor} is summarized in table
-\ref{tab:output_minor}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline mass mixing ratio of species $X$ &
-$\Psi(X)^{t_n,upd}$ & $-$ & interfaces??? & $t_n$ \\
-mass mixing ratio of species $X$ & $\Psi(X)^{t_n+\Delta t,upd}$ &
-$-$ & interfaces??? & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine minor}}
-\label{tab:output_minor}
-\end{table}
-%
-%
-The module data of \src{subroutine minor} is summarized in table
-\ref{tab:module_minor}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline background eddy diffusion    &
-{$K_E$} & $???$   & interfaces  & $-$
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine minor}}
-\label{tab:module_minor}
-\end{table}
-%
-Since the minor species $N(^4S)$ and $NO$ (and $HOx$ in TIMEGCM) 
-have longer life times,
-the neutral wind transport effects have to taken into account. The
-governing equation is (see \cite{roble1988}) Roble et al. 1988
-%
-\begin{align}
-  \frac{\partial {\Psi}}{\partial t} = &-e^{z}\frac{\partial}{\partial
-  Z}\left[ {A} \left(\frac{\partial}{\partial Z} -
-  {E}\right){\Psi}\right] \notag \\
-{}& + {S}{\Psi} - {R} - \left[ \mathbf{v}_n \cdot
-\nabla {\Psi} + W_n \frac{\partial {\Psi}}{\partial
-Z}\right] \notag \\
-{} & + e^z \left[ e^{-z} K_E \left( \frac{\partial}{\partial Z} +
-\frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial
-Z}\right){\Psi}\right] + H_{sub} \label{eq:minor_goveq}
-\end{align}
-%
-with
-%
-\begin{align}
-  \tilde{E} = \left( 1-\frac{{m}}{\overline{m}} -
-  \frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial
-  Z}\right) - \tilde{\alpha}\frac{1}{T_n}\frac{\partial T_n}{Z} +
-  \tilde{F}\tilde{\Psi} \label{eq:minor_tildeE}
-\end{align}
-%
-
-The vertical molecular diffusion coefficient is ${A}$, the
-production term is ${S}$, the loss term is ${R}$, the
-term ${E}$ includes the effects of gravity, thermal diffusion
-and friction with the major species on the vertical profile of the
-two species ($O_x, O_2$ ). The matrix operator for frictional interaction is
-$\tilde{F}$, the thermal diffusion coefficient is ${\alpha}$,
-and the mean molecular mass is $\overline{m}$, and $\Psi$ stands for the mass
-mixing ratio of either $NO$, $N(4S)$ or $HOx$. In TIEGCM $O_x$ is simply $O$,
-whereas in TIMEGCM, it is $O_3+O$. The horizontal diffusion caused by
-sub-grid processes which cannot be resolved by the model is added in by
-$H_{sub}$, and calculated in \src{subroutine hdif} \\
-
-The temporal change in the mass mixing ratio on the left hand side
-of eq.(\ref{eq:minor_goveq}) is equal to the vertical molecular
-diffusion which is denoted by the first term on the right hand side,
-the production and loss of the minor species (term two and three in
-eq.(\ref{eq:minor_goveq})), the horizontal and vertical nonlinear
-advection term (fourth term), and the vertical eddy diffusion (fifth
-term). The temporal term and all terms dependent with $Z$
-derivatives are treated implicit. The solver needs the equation in
-the following from
-%
-\begin{align}
-  P_k\Psi_{k-1}^{t+\Delta t}+ Q_k\Psi_{k}^{t+\Delta t}+
-   R_k\Psi_{k+1}^{t+\Delta t} = f_k \label{eq:minor_trisolver}
-\end{align}
-%
-where $P_k$, $Q_k$, $R_k$, and $f_k$ are deterimned at timestep $t$ at
-midpoints. $\Psi_{k-1,k+1}^{t+\Delta t}$ are also at midpoints but at the next
-timestep $t+\Delta t$, $k$ stands for the index of the vertical grid. 
-The equation \ref{eq:minor_goveq}) can be
-rearranged and multiplied by $e^{-z}$ which will lead to
-%
-\begin{align}
-  {}& e^{-z} \frac{\Psi_n^{t+\Delta t}}{2 \Delta t} + \frac{\partial}{\partial Z}
-   \left[A_n  \frac{\partial}{\partial Z} - E_n \Psi_n^{t+\Delta
-   t}\right] \notag \\
-   {}& -e^{-z} S \Psi_n^{t+\Delta
-   t}+ e^{-z} W_n \frac{\partial \Psi^{t+\Delta t}}{\partial
-   Z} - \frac{\partial}{\partial Z} \left\{e^{-z} K_E  \frac{\partial}{\partial Z}+
-   \frac{1}{\overline{m}}\frac{\partial\overline{m}}{\partial
-   Z} \Psi^{t+\Delta t}\right\} = \notag \\
-   {}& -e^{-z}R - e^{-z}\left\{ \mathbf{v}_n \cdot \nabla \Psi^{t}\right\}
-   + e^{-z}\frac{\Psi^{t-\Delta t}}{2 \Delta t} + e^{-z} H_{sub}
-\end{align}
-%
-The second term is discretized by
-%
-\begin{align}
-  \frac{\partial}{\partial Z}\left[
-   A_n \frac{\partial}{\partial Z} \Psi_n^{t+\Delta t} \right]= & \frac{1}{\Delta
-   z^2}\{ A_n(z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)
-    - \notag \\
-    {} & \left[ A_n(z+\frac{1}{2}\Delta z)+ A_n(z-\frac{1}{2}\Delta z)\right]
-   \Psi^{t+\Delta t}(z) + \notag \\
-   {} & A_n(z+\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z+\Delta z) \}
-\end{align}
-%
-The third term by
-%
-\begin{align}
-  {} &-\frac{\partial}{\partial Z}\left[
-   A_n E_n \Psi_n^{t+\Delta t} \right]=   \frac{1}{\Delta
-   z} \{- A_n(z-\frac{1}{2}\Delta z)E_n(z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)
-    - \notag \\
-    {} & \left[ -A_n(z+\frac{1}{2}\Delta z)E_n(z+\frac{1}{2}\Delta z)+ A_n(z-\frac{1}{2}\Delta z)E_n(z-\frac{1}{2}\Delta z)\right]
-   \Psi^{t+\Delta t}(z) + \notag \\
-   {} & A_n(z+\frac{1}{2}\Delta z)E_n(z+\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z+\Delta z)
-     \}
-\end{align}
-%
-The fifth term is discretized by
-%
-\begin{align}
-  e^{-z} W_n \frac{\partial \Psi^{t+\Delta t}}{\partial Z} = & \frac{1}{2 \Delta
-  z} e^{-z} W_n(z)\Psi^{t+\Delta t}(z+\Delta z) - \notag \\
-  {} & \frac{1}{2 \Delta
-  z} e^{-z} W_n(z)\Psi^{t+\Delta t}(z-\Delta z)
-\end{align}
-%
-the sixth term by
-%
-\begin{align}
-   - \frac{\partial}{\partial Z}&\left[ e^{-z} K_E \frac{\partial}{\partial Z}
-   \Psi^{t+\Delta t}\right] = -\frac{1}{\Delta z^2}[ e^{-z+\frac{1}{2}\Delta z}
-   K_E (z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)- \notag \\
-   {} &  \left\{
-   e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z) +
-   e^{-z+\frac{1}{2}\Delta z} K_E(z-\frac{1}{2}\Delta z)\right\}\Psi^{t+\Delta t}(z)
-   + \notag \\
-   {} & e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\Psi^{t+\Delta t}(z+\Delta z) ]
-\end{align}
-%
-and the seventh term is
-%
-\begin{align}
- - \frac{\partial}{\partial Z}  e^{-z} K_E &
-   \frac{1}{\overline{m}}\frac{\partial\overline{m}}{\partial
-   Z} \Psi^{t+\Delta t} = -\frac{1}{\Delta z^2}[ \notag \\
-   {} & e^{-z+\frac{1}{2}\Delta z}
-   K_E (z-\frac{1}{2}\Delta z) \frac{m(z-\Delta z)}{\overline{m}(z-\frac{1}{2}\Delta z)}\Psi^{t+\Delta t}(z-\Delta z)-
-   \notag \\
-   {}& \{
-   e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\frac{m(z)}{\overline{m}(z+\frac{1}{2}\Delta z)} +
-    \notag \\
-   {} & e^{-z+\frac{1}{2}\Delta z} K_E(z-\frac{1}{2}\Delta z)\frac{m(z)}{\overline{m}(z-\frac{1}{2}\Delta z)}\}\Psi^{t+\Delta t}(z)
-   + \notag \\
-   {} & e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\frac{m(z+\Delta z)}
-   {\overline{m}(z+\frac{1}{2}\Delta z)}\Psi^{t+\Delta t}(z+\Delta z)]
-\end{align}
-%
-and
-%
-\begin{align}
-  -e^{-z}S \Psi^{t+\Delta t}(z)
-\end{align}
-%
-%
-Rearranging according to eq. (\ref{eq:minor_trisolver}) leads to the
-coefficients
-%
-\begin{align}
- P =& \frac{1}{\Delta^2 z}\tilde{A}(z)+ \frac{1}{\Delta
- z}\tilde{A}(z)\tilde{E}(z) - \frac{1}{2 \Delta z} e^{-z} W(z+\frac{1}{2}\Delta
- z)- \notag \\
- {} & \frac{1}{\Delta^2 z} e^{-z+\Delta z}K_E(z) - \frac{1}{\Delta^2 z}e^{-z+\Delta
- z}K_E(z)\frac{m(z-\frac{1}{2}\Delta z)}{\overline{m}(z)} \\
-%
- R =& \frac{1}{\Delta^2 z}\tilde{A}(z+\Delta z)- \frac{1}{\Delta
- z}\tilde{A}(z+\Delta z)\tilde{E}(z+\Delta z) + \notag \\
- {} & \frac{1}{2 \Delta z} e^{-z} W(z+\frac{1}{2}\Delta
- z)- \frac{1}{\Delta^2 z} e^{-z}K_E(z+\Delta z) - \notag \\
- {} & \frac{1}{\Delta^2 z}e^{-z}K_E(z+\Delta z)
- \frac{m(z-\frac{3}{2}\Delta z)}{\overline{m}(z+\Delta z)} \\
-%
- Q =& \frac{e^{-z}}{2 \Delta t} - \frac{1}{\Delta^2 z}[\tilde{A}(z+\Delta z)+\tilde{A}(z)]+
-   \notag \\
-  {} & \frac{1}{\Delta
- z}[\tilde{A}(z+\Delta z)\tilde{E}(z+\Delta z)+\tilde{A}(z)\tilde{E}(z)]-e^{-z}S
- + \notag \\
- {} &
- - \frac{1}{\Delta^2 z} [e^{-z}K_E(z+\Delta z)+ e^{-z+\Delta
- z}K_E(z)] \notag \\
- {} & - \frac{1}{\Delta^2 z}[e^{-z}K_E(z+\Delta z)
- \frac{m(z+\frac{1}{2}\Delta z)}{\overline{m}(z+\Delta z)} + \notag \\
- {} & e^{-z+\frac{1}{2}\Delta z}K_E(z)
- \frac{m(z+\frac{1}{2}\Delta z)}{\overline{m}(z)}]\\
-%
- f =& -e^{-z}R -e^{-z}\mathbf{v}_n\cdot \Psi^{t_n} + e^{-z}\frac{\Psi^{t_n-\Delta t}}{2 \Delta t}
-\end{align}
-%
-\\
-
-The lower boundary condition is ???? not used in the code?????
-%
-\begin{align}
-  \frac{1}{2}(\Psi(z_{bot}-\Delta z) + \Psi(z_{bot}+\Delta z)) = \Psi(z_{bot})
-\end{align}
-%
-which leads to
-%
-\begin{align}
-  \Psi(z_{bot}-\Delta z) = 2 \Psi(z_{bot}) - \Psi(z_{bot}+\Delta z)
-\end{align}
-%
-Inserting into the equation (\ref{eq:minor_trisolver})
-%
-\begin{align}
-  \left\{ -P(z_{bot}) + Q(z_{bot})\right\} \Psi(z_{bot}) +& R(z_{bot}) \Psi(z_{bot}+\Delta
-  z) = \notag \\
-  {} & f(z_{bot}) - 2 \Psi(z_{bot})P(z_{bot})
-\end{align}
-%
-\\
-
-The upper boundary is ???? not used in the code ?????
-%
-\begin{align}
- \frac{\partial}{\partial Z} \Psi = \epsilon \Psi
-\end{align}
-%
-which leads to
-%
-\begin{align}
-  \frac{\Psi(z_{top})-\Psi(z_{top}-\Delta z)}{\Delta z} = \frac{\epsilon(z_{top}-
-   \frac{1}{2}\Delta z)}{2}\left( \Psi(z_{top}) + \Psi(z_{top} - \Delta z)\right)
-\end{align}
-%
-and the value for $\Psi(z_{top})$
-%
-\begin{align}
- \Psi(z_{top}) = \frac{1+ \Delta z\frac{\epsilon(z_{top}-
-   \frac{1}{2}\Delta z)}{2}}{1- \Delta z \frac{\epsilon(z_{top}-
-   \frac{1}{2}\Delta z)}{2}} \Psi(z_{top} - \Delta z)
-\end{align}
-%
-Inserting into the equation (\ref{eq:minor_trisolver})
-%
-\begin{align}
-   & P(z_{top}-\Delta z) \Psi(z_{top}-2 \Delta z) + \{ Q(z_{top}-\Delta z)
-    + \notag \\
-    {} &  R(z_{top}-\Delta z)\}\frac{1+ \Delta z\frac{\epsilon(z_{top}-
-   \frac{1}{2}\Delta z)}{2}}{1- \Delta z \frac{\epsilon(z_{top}-
-   \frac{1}{2}\Delta z)}{2}} \Psi(z_{top} - \Delta z) = f(z_{top}-\Delta z)
-\end{align}
-%
-
-In the code first the thermal diffusion coefficient $\tilde{\alpha}$
-is set with the diffusion vector $\Phi_1 = (0,1.35,1.11)$ and
-$\Phi_2 = (0.673, 0,0.769)$ independent of the species, and the
-vector $\Phi_x$ depending on the species.
-%
-\begin{align}
-  \alpha_{12} = & \Phi_{12}-\Phi_{13} \notag \\
-  \alpha_{21} = & \Phi_{21}-\Phi_{23} \notag \\
-  \alpha_{x1} = & \Phi_{x1}-\Phi_{x3} \notag \\
-  \alpha_{x2} = & \Phi_{x2}-\Phi_{x13}
-\end{align}
-%
-The values $\Psi_x^{t_n-\Delta t}$ are smoothed with the Shapiro
-smoother, first in latitude,
-%
-\begin{align}
-  {}&\Psi_x^{t_n-\Delta t,lat} = \Psi_x^{t_n-\Delta t} - 0.003[
-   \Psi_x^{t_n-\Delta t}(\phi,\lambda-2 \Delta \lambda)+
-   \Psi_x^{t_n-\Delta t}(\phi,\lambda+2 \Delta \lambda)- \notag \\
-   {} & 4\left(
-   \Psi_x^{t_n-\Delta t}(\phi,\lambda+\Delta \lambda)+
-   \Psi_x^{t_n-\Delta t}(\phi,\lambda-\Delta \lambda)
-   \right)+6
-   \Psi_x^{t_n-\Delta t}(\phi,\lambda)]
-\end{align}
-%
- and then in longitude
-%
-\begin{align}
-  {} & \Psi_x^{t_n-\Delta t,smo} =\Psi_x^{t_n-\Delta t,lat} - 0.003[
-   \Psi_x^{t_n-\Delta t,lat}(\phi-2\Delta \phi,\lambda)+ \notag \\
-   {} & \Psi_x^{t_n-\Delta t,lat}(\phi+2\Delta \phi,\lambda)-
-   4 (
-   \Psi_x^{t_n-\Delta t,lat}(\phi-\Delta \phi,\lambda)+ \notag \\
-   {} & \Psi_x^{t_n-\Delta t,lat}(\phi+\Delta \phi,\lambda)
-   )+6
-   \Psi_x^{t_n-\Delta t,lat}(\phi,\lambda)]
-\end{align}
-%
-The horizontal advection $\mathbf{v}_n \cdot \nabla \Psi_x$ is
-calculated in \src{subroutine advec}, with
-%
-\begin{align}
-   u_n^{\phi}(\phi,\lambda)&= \frac{1}{2}[u_n(\phi+\Delta \phi,\lambda)+ u_n(\phi-\Delta
-   \phi,\lambda)] \notag \\
-   u_n^{2\phi}(\phi,\lambda) &= \frac{1}{2}[u_n(\phi+2\Delta \phi,\lambda)+ u_n(\phi-2\Delta
-   \phi,\lambda)] \notag \\
-   v_n^{\lambda}(\phi,\lambda) &= \frac{1}{2}[v_n(\phi,\lambda+\Delta \lambda)+ v_n(\phi,\lambda-\Delta
-   \lambda)] \notag \\
-   v_n^{2\lambda}(\phi,\lambda)&e = \frac{1}{2}[v_n(\phi,\lambda+2\Delta \lambda)+ v_n(\phi,\lambda-2\Delta
-   \lambda)]
-\end{align}
-%
-and the terms
-%
-\begin{align}
-  T_1(\phi,\lambda) & = \frac{1}{R_E \cos \lambda }
-   \{ \frac{2}{3 \Delta \phi} u_n^{\phi}(\phi,\lambda)
-     \left[\Psi_x(\phi+\Delta \phi,\lambda) -
-    \Psi_x(\phi-\Delta \phi,\lambda)\right]- \notag \\
-    {} & \frac{1}{12 \Delta \phi} u_n^{2\phi}(\phi,\lambda)
-     \left[\Psi_x(\phi+2\Delta \phi,\lambda) -
-    \Psi_x(\phi-2\Delta \phi,\lambda)\right] \} \\
-%
-  T_2(\phi,\lambda) &= \frac{1}{R_E } \{ \frac{2}{3 \Delta \lambda}
-  v_n^{\lambda}(\phi,\lambda)
-     \left[\Psi_x(\phi,\lambda+\Delta \lambda) -
-    \Psi_x(\phi,\lambda-\Delta \lambda)\right]- \notag \\
-    {} & \frac{1}{12 \Delta \lambda} v_n^{2\lambda}(\phi,\lambda)
-     \left[\Psi_x(\phi,\lambda+2\Delta \lambda) -
-    \Psi_x(\phi,\lambda-2\Delta \lambda)\right] \}
-\end{align}
-%
-The advection $\mathbf{v}_n \cdot \nabla \Psi_x$ is then
-%
-\begin{align}
-  \mathbf{v}_n \cdot \nabla \Psi_x = T_1 + T_2
-\end{align}
-%
-
-At the lower boundary the following values are set ??? which
-level$z_{bot}-\frac{1}{2}\Delta z$ such that it fits afterward????
-%
-\begin{align}
-  \Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)=&  b_{11}\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
-      + \notag \\
-      {} & b_{12}\Psi(O)(z_{bot}-\frac{1}{2}\Delta z) + F_b(1) \\
-  \Psi(O)(z_{bot}-\frac{1}{2}\Delta z)= & b_{21}\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
-      + \notag \\
-      {} & b_{22}\Psi(O)(z_{bot}-\frac{1}{2}\Delta z) + F_b(2)
-\end{align}
-%
-with $b_{11}, b_{12}, b_{22}, b_{21}$ and $\mathbf{F}_b$ from the
-file \src{bndry.F} and \src{subroutine bndcmp}. The mean molecular
-mass is
-%
-\begin{align}
-  \overline{m}(z_{bot}-\frac{1}{2}\Delta z) =&  [ \frac{\Psi(O_2)}{m_{O_2}}(z_{bot}-\frac{1}{2}\Delta z)
-     +  \frac{\Psi(O)}{m_{O}} (z_{bot}-\frac{1}{2}\Delta z)+ \notag \\
-     {} &
-     \frac{1-\Psi(O_2)-\Psi(O)}{m_{N_2}}(z_{bot}-\frac{1}{2}\Delta z) ]^{-1}
-\end{align}
-%
-The $N_2$ number density is
-%
-\begin{align}
-  \Psi(N_2)(z+\frac{1}{2} \Delta z) =1- \Psi(O_2)(z+\frac{1}{2} \Delta z)-
-     \Psi(O)(z+\frac{1}{2} \Delta z)
-\end{align}
-%
-and the mean molecular mass is
-%
-\begin{align}
-  \overline{m}(z+\frac{1}{2}\Delta z) & = [ \frac{\Psi(O_2)}{m_{O_2}}(z+\frac{1}{2}\Delta z)
-     +  \frac{\Psi(O)}{m_{O}} (z+\frac{1}{2}\Delta z)+ \notag \\
-    {} &  \frac{\Psi(N_2)}{m_{N_2}}(z+\frac{1}{2}\Delta z) ]^{-1}
-\end{align}
-%
-At the lower boundary the following quantities are calculated
-%
-\begin{align}
-  \overline{m}(z_{bot}) = & \frac{1}{2}[\overline{m}(z_{bot}-\frac{1}{2}\Delta z)+
-  \overline{m}(z_{bot}-\frac{1}{2}\Delta z)] \\
-  \frac{d \overline{m}}{dz}(z_{bot}) = & \frac{\overline{m}(z_{bot}+\frac{1}{2}\Delta z)
-     - \overline{m}(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z} \\
-  \Psi(O)(z_{bot})= &\frac{1}{2}[\Psi(O)(z_{bot}-\frac{1}{2}\Delta z)+
-    \Psi(O)(z_{bot}+\frac{1}{2}\Delta z)] \\
-  \Psi(O_2)(z_{bot})= &\frac{1}{2}[\Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)+
-    \Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)] \\
-  \frac{d \Psi(O)}{dz}(z_{bot}) = & \frac{\Psi(O)(z_{bot}+\frac{1}{2}\Delta z)
-     - \Psi(O)(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z} \\
-  \frac{d \Psi(O_2)}{dz}(z_{bot}) = & \frac{\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
-     - \Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z}
-\end{align}
-%
-At all other levels these quantities are
-%
-\begin{align}
-  \overline{m}(z) = & \frac{1}{2}[\overline{m}(z+\frac{1}{2}\Delta z)+
-  \overline{m}(z-\frac{1}{2}\Delta z)] \\
-  \frac{d \overline{m}}{dz}(z) = & \frac{\overline{m}(z+\frac{1}{2}\Delta z)
-     - \overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z} \\
-  \Psi(O)(z)= &\frac{1}{2}[\Psi(O)(z+\frac{1}{2}\Delta z)+
-    \Psi(O)(z-\frac{1}{2}\Delta z)] \\
-  \Psi(O_2)(z_{bot})= &\frac{1}{2}[\Psi(O_2)(z+\frac{1}{2}\Delta z)+
-    \Psi(O_2)(z-\frac{1}{2}\Delta z)] \\
-  \frac{d \Psi(O)}{dz}(z) = & \frac{\Psi(O)(z+\frac{1}{2}\Delta z)
-     - \Psi(O)(z-\frac{1}{2}\Delta z)}{\Delta z} \\
-  \frac{d \Psi(O_2)}{dz}(z) = & \frac{\Psi(O_2)(z+\frac{1}{2}\Delta z)
-     - \Psi(O_2)(z-\frac{1}{2}\Delta z)}{\Delta z}
-\end{align}
-%
-The neutral temperature at the interfaces is set by
-%
-\begin{align}
-  T_n(z_{bot}) = & T_n(z_{LB}) \notag \\
-  T_n(z_{top}) = & T_n(z_{top}-\frac{1}{2} \Delta z) \notag \\
-  T_n(z) = & \frac{1}{2} [ T_n(z + \frac{1}{2}\Delta z) + T_n(z - \frac{1}{2}\Delta
-  z)]
-\end{align}
-%
-The production is calculated by
-%
-\begin{align}
-  P_0 = P_x \frac{m_x k_B T_n(z+\frac{1}{2}\Delta z}
-       {p_0 e^{-z-\frac{1}{2}\Delta z}\overline{m}(z+\frac{1}{2}\Delta z)}
-\end{align}
-%
-and stored in \src{s0prod}. The production $P_x$ for the specie $x$
-is input to the subroutine, and is multiplied by $\frac{m_x}{N
-\overline{m}}$. ???? does this make sense?????
-%
-The final thermal diffusion coefficients are determined ?????
-%
-\begin{align}
-  \alpha_{11,f} = & -[\phi_{13}+\alpha_{12}\Psi(O)(z)] \notag \\
-  \alpha_{12,f} = & -\alpha_{12}\Psi(O_2)(z) \notag \\
-  \alpha_{21,f} = & -[\alpha_{21}\Psi(O)(z) \notag \\
-  \alpha_{22,f} = & -[\phi_{23}+\alpha_{21}\Psi(O_2)(z)] \notag \\
-\end{align}
-%
-The quantity $1
--\frac{\tilde{m}}{\overline{m}}-\frac{1}{\overline{m}}\frac{\overline{m}}{\partial
-Z} +\tilde{F} \tilde{\Psi}$ is calculated and stored in the variable
-\src{ex} ?????
-%
-\begin{align}
-  T_{ex} =&  \{ (\alpha_{x1} \alpha_{22,f}-\alpha_{x2}\alpha_{21,f})\left[
-     \frac{d \Psi(O_2)}{dZ}- \left(1 - \frac{m_{O_2}+\frac{d \overline{m}}{d Z}}
-     {\overline{m}}\right)\Psi(O_2)\right] + \notag \\
-     {} & (\alpha_{x2} \alpha_{11,f}-\alpha_{x1}\alpha_{12,f})\left[
-     \frac{d \Psi(O)}{dZ}- \left(1 - \frac{m_{O}+\frac{d \overline{m}}{d Z}}
-     {\overline{m}}\right)\Psi(O)\right] \} \notag \\
-     {} & \frac{1}{\alpha_{11,f}\alpha_{22,f}
-     - \alpha_{12,f}\alpha_{21,f}} + 1 - \frac{m_{X}+\frac{d \overline{m}}{d Z}}
-     {\overline{m}} \label{eq:minor_Tex}
-\end{align}
-%
-The vertical molecular diffusion coefficient $\tilde{A}$ is
-determined by
-%
-\begin{align}
-  \tilde{A} = - \frac{\overline{m}(z)}{\tau m_{N_2}}\left( \frac{T_0}{T_n(z)}
-  \right)^{0.25}\left\{ \phi_{x3} + \alpha_{x1}\Psi(O_2)(z) +
-  \alpha_{x2}\Psi(O)\right\}^{-1}
-\end{align}
-%
-with $\tau = 1.86 \cdot 10^{3}$, and $T_0 = 273 K$. The value is
-stored in the variable \src{ax} in the source code. The effects of
-gravity, thermal diffusion and the frictional interaction with the
-major species is expressed by the variable $\tilde{E}$ given by eq.
-(\ref{eq:minor_tildeE})
-%
-\begin{align}
-  T_{thdiff}(z) = T_{ex} -\alpha_X \frac{T_n(z+\Delta z)- T_n(z-\Delta z}{2 \delta z T_n(z)}
-\end{align}
-%
-and $T_{ex}$ given by the expression in eq. (\ref{eq:minor_Tex}).
-The quantity $T_{thdiff}$ is stored in the variable \src{thdiff} in
-the source code. At the lower boundary the value is
-%
-\begin{align}
-  T_{thdiff}(z_{bot}) = T_{ex}(z_{bot}) -\alpha_X \frac{T_n(z_{bot}+\Delta z)-
-  T_n(z_{bot}}{ \Delta z T_n(z_{bot})} \notag \\
-  T_{thdiff}(z_{top}) = T_{ex}(z_{top}) -\alpha_X \frac{T_n(z_{top})-
-  T_n(z_{top}-\Delta z}{ \Delta z T_n(z_{top})}
-\end{align}
-%
-If the INPUT flag \verb"difhor" is set (>0) then the horizontal
-variation of the eddy diffusion and thermal conductivity ???? is set
-by
-%
-\begin{align}
-  |\lambda_r| \geq 40^o \;\;\; & d_{fac} = hor(\lambda)+ 1.0 \notag \\
-  |\lambda_r| < 40^o \;\;\; & d_{fac} = hor(\lambda)+
-  \frac{1}{2}\left( 1 + \sin{\Pi \frac{|\lambda_r| - \frac{\Pi}{9}}{\Pi/4.5}}\right)
-\end{align}
-%
-with $\lambda_r$ going from the south pole to the north pole????
-check $ |\lambda_r|$ ?????
-\\
-
-The coefficients for the equation (\ref{eq:minor_trisolver}) which
-is solved for the mass mixing ratio are ???? check the pressure
-levels and with the equation at the beginning??????
-%
-\begin{align}
-  P = & \frac{\tilde{A}(k)}{\Delta z}\left( \frac{1}{\Delta z} + \frac{1}{2} T_{thdiff(k)}
-  \right) - \notag \\
-  {} & e^{-z -\frac{1}{2}\Delta z} [e^{\frac{1}{2}\Delta z} K_E(k)
-  d_{fac} \left\{ \frac{1}{\Delta z} - \frac{1}{2}
-  \frac{d\overline{m}}{dz}(k)\right\} + \notag \\
-  {} & \frac{1}{4} \left\{ W(z)+W(z+\Delta z)\right\}
-  ]\frac{1}{\Delta z}
-\end{align}
-%
-\begin{align}
-  R = & \frac{\tilde{A}(k+1)}{\Delta z}\left( \frac{1}{\Delta z} - \frac{1}{2} T_{thdiff(k+1)}
-  \right) - \notag \\
-  {} & e^{-z -\frac{1}{2}\Delta z} [e^{-\frac{1}{2}\Delta z} K_E(k+1)
-  d_{fac} \left\{ \frac{1}{\Delta z} + \frac{1}{2}
-  \frac{d\overline{m}}{dz}(k+1)\right\} - \notag \\
-  {} &  \frac{1}{4} \left\{ W(z)+W(z+\Delta z)\right\}
-  ]\frac{1}{\Delta z}
-\end{align}
-%
-\begin{align}
-  Q =& - \{ \frac{\tilde{A}(k)}{\Delta z}\left( \frac{1}{\Delta z} -
-   \frac{1}{2} T_{thdiff(k)} + \frac{\tilde{A}(k+1)}{\Delta z}\left( \frac{1}{\Delta z}
-   + \frac{1}{2} T_{thdiff(k+1)}
-  \right) \right\}+ \notag \\
-  {} & e^{-z -\frac{1}{2}\Delta z}( e^{\frac{1}{2}\Delta z} K_E(k)
-  d_{fac} \left\{ \frac{1}{\Delta z} + \frac{1}{2}
-  \frac{d\overline{m}}{dz}(k)\right\} + \notag \\
-  {} & e^{-\frac{1}{2}\Delta z} K_E(k+1)
-  d_{fac} \left\{ \frac{1}{\Delta z} - \frac{1}{2}
-  \frac{d\overline{m}}{dz}(k)\right\})\frac{1}{\Delta z}-
-  L(l)+\frac{1}{2 \Delta t} \}
-\end{align}
-%
-\begin{align}
-  f = e^{-z -\frac{1}{2}\Delta z}\left\{ \frac{\Psi_X^{t-\Delta t,smo}}{2 \Delta t} -
-       \mathbf{v}_n\cdot \nabla \Psi(k) + R(k) \right\}
-\end{align}
-%
-At the lower boundary
-%
-\begin{align}
-  Q^*(k_{bot}) =&  Q(k_{bot}) + P(k_{bot})\frac{F(1) + 0.5 F(2)\Delta z}
-        {F(1) - 0.5 F(2)\Delta z} \notag \\
-  f^*(k_{bot}) =& f(k_{bot}) -P(k_{bot}) \frac{F(3)\Delta z}
-        {F(1) - 0.5 F(2)\Delta z}  \notag \\
-  P^*(k_{bot}) =& 0
-\end{align}
-%
-with $F$ the coefficient $A, B, C$ of the upward flux which are
-input to the \src{subroutine minor}. The upper boundary is set by
-%
-\begin{align}
-  P^*(k_{top}) =& 1+\frac{1}{2}\Delta z T_{thdiff}(k_{top}) \notag \\
-  Q^*(k_{top}) =& P^*(k_{bot}) - 2. \notag \\
-  R^*(k_{top}) =& 0. \notag \\
-  f^*(k_{top}) =& -\frac{g m_x F_x^{upw,top} \Delta z}{p_0 \tilde{A} N_A}
-\end{align}
-%
-with $F_x^{upw,top}$ the upward number flux at the upper boundary
-which is input to \src{subroutine minor}. \\
-
-%
-Solving for the mass mixing ratio $\Psi$ at each latitude leads to
-the updated mass mixing ratio $\Psi^{upd, t_n+\Delta t}$ at the
-midpoints. The calculated values for the mass mixing ration
-$\Psi^{upd, t + \Delta t}$ are smoothed by a Fast Fourier
-transformation, which is part of the \src{minor module}. All the
-wave numbers larger than a predefined value at each latitude are
-removed. The wave numbers are defined in the
- \src{subroutine minor}. The values of the mass mixing ration at the
-time step $t_n$ are also updated by using
-%
-\begin{align}
-  \Psi^{upd,t_n} =  \frac{1}{2}({1-c_{smo}})(\Psi^{t_n-\Delta t}+
-     \Psi_{smo}^{upd,t_n+\Delta t}) + c_{smo}\Psi^{t_n}
-\end{align}
-%
-with $c_{smo} = 0.95$. All the values of $\Psi^{upd,t_n}$ and
-$\Psi^{upd,t_n+\Delta t}$ have to be at least as larger as
-$10^{-12}$
-%
+%
+\section{Calculation minor species $N(^4S)$ and $NO$, (and $HOx$ in TIMEGCM) \index{MINOR.F}}\label{cap:minor}
+%
+The input to \src{subroutine minor} is summarized in table
+\ref{tab:input_minor}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+mass mixing ratio $O_2$ &   $\Psi(O_2)$        & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$   &   $\Psi(O)$          & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $X$   &   $\Psi(X)^{t_n}$    & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $X$   &   $\Psi(X)^{t_n+\Delta t}$ & $-$   &  midpoints & $t_n+ \Delta t$\\
+upward number flux at upper boundary &       $F_x^{upw,top}$              & $\#/cm^3$   &  $z_{top}$ & $t_n+\Delta t$\\
+diffusive vector &       $D_v$              & $???$   &  midpoints?? & $t_n??$\\
+molecular weight of species $X$ &       $m_X$              & $g/mole$   &  - & $-$\\
+thermal diffusion coefficient &       $D_T$              & $???$   &  midpoints??? & $t_n???$\\
+loss of $X$ &       $L_X$              & $???$   &  midpoints??? & $t_n????$\\
+production of $X$&       $P_X$              & $???$   &  midpoints??? & $t_n???$\\
+???coefficient of upward flux $A,B, C$ &
+        $A \frac{\partial \Psi_X}{\partial Z}+ B \Psi_X + C = 0$              & $???$   &  $z_{bot}$ & $t_n+\Delta t$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine minor}}
+\label{tab:input_minor}
+\end{table}
+%
+The output of \src{subroutine minor} is summarized in table
+\ref{tab:output_minor}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline mass mixing ratio of species $X$ &
+$\Psi(X)^{t_n,upd}$ & $-$ & interfaces??? & $t_n$ \\
+mass mixing ratio of species $X$ & $\Psi(X)^{t_n+\Delta t,upd}$ &
+$-$ & interfaces??? & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine minor}}
+\label{tab:output_minor}
+\end{table}
+%
+%
+The module data of \src{subroutine minor} is summarized in table
+\ref{tab:module_minor}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline background eddy diffusion    &
+{$K_E$} & $???$   & interfaces  & $-$
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine minor}}
+\label{tab:module_minor}
+\end{table}
+%
+Since the minor species $N(^4S)$ and $NO$ (and $HOx$ in TIMEGCM) 
+have longer life times,
+the neutral wind transport effects have to taken into account. The
+governing equation is (see \cite{roble1988}) Roble et al. 1988
+%
+\begin{align}
+  \frac{\partial {\Psi}}{\partial t} = &-e^{z}\frac{\partial}{\partial
+  Z}\left[ {A} \left(\frac{\partial}{\partial Z} -
+  {E}\right){\Psi}\right] \notag \\
+{}& + {S}{\Psi} - {R} - \left[ \mathbf{v}_n \cdot
+\nabla {\Psi} + W_n \frac{\partial {\Psi}}{\partial
+Z}\right] \notag \\
+{} & + e^z \left[ e^{-z} K_E \left( \frac{\partial}{\partial Z} +
+\frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial
+Z}\right){\Psi}\right] + H_{sub} \label{eq:minor_goveq}
+\end{align}
+%
+with
+%
+\begin{align}
+  \tilde{E} = \left( 1-\frac{{m}}{\overline{m}} -
+  \frac{1}{\overline{m}}\frac{\partial \overline{m}}{\partial
+  Z}\right) - \tilde{\alpha}\frac{1}{T_n}\frac{\partial T_n}{Z} +
+  \tilde{F}\tilde{\Psi} \label{eq:minor_tildeE}
+\end{align}
+%
+
+The vertical molecular diffusion coefficient is ${A}$, the
+production term is ${S}$, the loss term is ${R}$, the
+term ${E}$ includes the effects of gravity, thermal diffusion
+and friction with the major species on the vertical profile of the
+two species ($O_x, O_2$ ). The matrix operator for frictional interaction is
+$\tilde{F}$, the thermal diffusion coefficient is ${\alpha}$,
+and the mean molecular mass is $\overline{m}$, and $\Psi$ stands for the mass
+mixing ratio of either $NO$, $N(4S)$ or $HOx$. In TIEGCM $O_x$ is simply $O$,
+whereas in TIMEGCM, it is $O_3+O$. The horizontal diffusion caused by
+sub-grid processes which cannot be resolved by the model is added in by
+$H_{sub}$, and calculated in \src{subroutine hdif} \\
+
+The temporal change in the mass mixing ratio on the left hand side
+of eq.(\ref{eq:minor_goveq}) is equal to the vertical molecular
+diffusion which is denoted by the first term on the right hand side,
+the production and loss of the minor species (term two and three in
+eq.(\ref{eq:minor_goveq})), the horizontal and vertical nonlinear
+advection term (fourth term), and the vertical eddy diffusion (fifth
+term). The temporal term and all terms dependent with $Z$
+derivatives are treated implicit. The solver needs the equation in
+the following from
+%
+\begin{align}
+  P_k\Psi_{k-1}^{t+\Delta t}+ Q_k\Psi_{k}^{t+\Delta t}+
+   R_k\Psi_{k+1}^{t+\Delta t} = f_k \label{eq:minor_trisolver}
+\end{align}
+%
+where $P_k$, $Q_k$, $R_k$, and $f_k$ are deterimned at timestep $t$ at
+midpoints. $\Psi_{k-1,k+1}^{t+\Delta t}$ are also at midpoints but at the next
+timestep $t+\Delta t$, $k$ stands for the index of the vertical grid. 
+The equation \ref{eq:minor_goveq}) can be
+rearranged and multiplied by $e^{-z}$ which will lead to
+%
+\begin{align}
+  {}& e^{-z} \frac{\Psi_n^{t+\Delta t}}{2 \Delta t} + \frac{\partial}{\partial Z}
+   \left[A_n  \frac{\partial}{\partial Z} - E_n \Psi_n^{t+\Delta
+   t}\right] \notag \\
+   {}& -e^{-z} S \Psi_n^{t+\Delta
+   t}+ e^{-z} W_n \frac{\partial \Psi^{t+\Delta t}}{\partial
+   Z} - \frac{\partial}{\partial Z} \left\{e^{-z} K_E  \frac{\partial}{\partial Z}+
+   \frac{1}{\overline{m}}\frac{\partial\overline{m}}{\partial
+   Z} \Psi^{t+\Delta t}\right\} = \notag \\
+   {}& -e^{-z}R - e^{-z}\left\{ \mathbf{v}_n \cdot \nabla \Psi^{t}\right\}
+   + e^{-z}\frac{\Psi^{t-\Delta t}}{2 \Delta t} + e^{-z} H_{sub}
+\end{align}
+%
+The second term is discretized by
+%
+\begin{align}
+  \frac{\partial}{\partial Z}\left[
+   A_n \frac{\partial}{\partial Z} \Psi_n^{t+\Delta t} \right]= & \frac{1}{\Delta
+   z^2}\{ A_n(z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)
+    - \notag \\
+    {} & \left[ A_n(z+\frac{1}{2}\Delta z)+ A_n(z-\frac{1}{2}\Delta z)\right]
+   \Psi^{t+\Delta t}(z) + \notag \\
+   {} & A_n(z+\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z+\Delta z) \}
+\end{align}
+%
+The third term by
+%
+\begin{align}
+  {} &-\frac{\partial}{\partial Z}\left[
+   A_n E_n \Psi_n^{t+\Delta t} \right]=   \frac{1}{\Delta
+   z} \{- A_n(z-\frac{1}{2}\Delta z)E_n(z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)
+    - \notag \\
+    {} & \left[ -A_n(z+\frac{1}{2}\Delta z)E_n(z+\frac{1}{2}\Delta z)+ A_n(z-\frac{1}{2}\Delta z)E_n(z-\frac{1}{2}\Delta z)\right]
+   \Psi^{t+\Delta t}(z) + \notag \\
+   {} & A_n(z+\frac{1}{2}\Delta z)E_n(z+\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z+\Delta z)
+     \}
+\end{align}
+%
+The fifth term is discretized by
+%
+\begin{align}
+  e^{-z} W_n \frac{\partial \Psi^{t+\Delta t}}{\partial Z} = & \frac{1}{2 \Delta
+  z} e^{-z} W_n(z)\Psi^{t+\Delta t}(z+\Delta z) - \notag \\
+  {} & \frac{1}{2 \Delta
+  z} e^{-z} W_n(z)\Psi^{t+\Delta t}(z-\Delta z)
+\end{align}
+%
+the sixth term by
+%
+\begin{align}
+   - \frac{\partial}{\partial Z}&\left[ e^{-z} K_E \frac{\partial}{\partial Z}
+   \Psi^{t+\Delta t}\right] = -\frac{1}{\Delta z^2}[ e^{-z+\frac{1}{2}\Delta z}
+   K_E (z-\frac{1}{2}\Delta z) \Psi^{t+\Delta t}(z-\Delta z)- \notag \\
+   {} &  \left\{
+   e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z) +
+   e^{-z+\frac{1}{2}\Delta z} K_E(z-\frac{1}{2}\Delta z)\right\}\Psi^{t+\Delta t}(z)
+   + \notag \\
+   {} & e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\Psi^{t+\Delta t}(z+\Delta z) ]
+\end{align}
+%
+and the seventh term is
+%
+\begin{align}
+ - \frac{\partial}{\partial Z}  e^{-z} K_E &
+   \frac{1}{\overline{m}}\frac{\partial\overline{m}}{\partial
+   Z} \Psi^{t+\Delta t} = -\frac{1}{\Delta z^2}[ \notag \\
+   {} & e^{-z+\frac{1}{2}\Delta z}
+   K_E (z-\frac{1}{2}\Delta z) \frac{m(z-\Delta z)}{\overline{m}(z-\frac{1}{2}\Delta z)}\Psi^{t+\Delta t}(z-\Delta z)-
+   \notag \\
+   {}& \{
+   e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\frac{m(z)}{\overline{m}(z+\frac{1}{2}\Delta z)} +
+    \notag \\
+   {} & e^{-z+\frac{1}{2}\Delta z} K_E(z-\frac{1}{2}\Delta z)\frac{m(z)}{\overline{m}(z-\frac{1}{2}\Delta z)}\}\Psi^{t+\Delta t}(z)
+   + \notag \\
+   {} & e^{-z-\frac{1}{2}\Delta z} K_E(z+\frac{1}{2}\Delta z)\frac{m(z+\Delta z)}
+   {\overline{m}(z+\frac{1}{2}\Delta z)}\Psi^{t+\Delta t}(z+\Delta z)]
+\end{align}
+%
+and
+%
+\begin{align}
+  -e^{-z}S \Psi^{t+\Delta t}(z)
+\end{align}
+%
+%
+Rearranging according to eq. (\ref{eq:minor_trisolver}) leads to the
+coefficients
+%
+\begin{align}
+ P =& \frac{1}{\Delta^2 z}\tilde{A}(z)+ \frac{1}{\Delta
+ z}\tilde{A}(z)\tilde{E}(z) - \frac{1}{2 \Delta z} e^{-z} W(z+\frac{1}{2}\Delta
+ z)- \notag \\
+ {} & \frac{1}{\Delta^2 z} e^{-z+\Delta z}K_E(z) - \frac{1}{\Delta^2 z}e^{-z+\Delta
+ z}K_E(z)\frac{m(z-\frac{1}{2}\Delta z)}{\overline{m}(z)} \\
+%
+ R =& \frac{1}{\Delta^2 z}\tilde{A}(z+\Delta z)- \frac{1}{\Delta
+ z}\tilde{A}(z+\Delta z)\tilde{E}(z+\Delta z) + \notag \\
+ {} & \frac{1}{2 \Delta z} e^{-z} W(z+\frac{1}{2}\Delta
+ z)- \frac{1}{\Delta^2 z} e^{-z}K_E(z+\Delta z) - \notag \\
+ {} & \frac{1}{\Delta^2 z}e^{-z}K_E(z+\Delta z)
+ \frac{m(z-\frac{3}{2}\Delta z)}{\overline{m}(z+\Delta z)} \\
+%
+ Q =& \frac{e^{-z}}{2 \Delta t} - \frac{1}{\Delta^2 z}[\tilde{A}(z+\Delta z)+\tilde{A}(z)]+
+   \notag \\
+  {} & \frac{1}{\Delta
+ z}[\tilde{A}(z+\Delta z)\tilde{E}(z+\Delta z)+\tilde{A}(z)\tilde{E}(z)]-e^{-z}S
+ + \notag \\
+ {} &
+ - \frac{1}{\Delta^2 z} [e^{-z}K_E(z+\Delta z)+ e^{-z+\Delta
+ z}K_E(z)] \notag \\
+ {} & - \frac{1}{\Delta^2 z}[e^{-z}K_E(z+\Delta z)
+ \frac{m(z+\frac{1}{2}\Delta z)}{\overline{m}(z+\Delta z)} + \notag \\
+ {} & e^{-z+\frac{1}{2}\Delta z}K_E(z)
+ \frac{m(z+\frac{1}{2}\Delta z)}{\overline{m}(z)}]\\
+%
+ f =& -e^{-z}R -e^{-z}\mathbf{v}_n\cdot \Psi^{t_n} + e^{-z}\frac{\Psi^{t_n-\Delta t}}{2 \Delta t}
+\end{align}
+%
+\\
+
+The lower boundary condition is ???? not used in the code?????
+%
+\begin{align}
+  \frac{1}{2}(\Psi(z_{bot}-\Delta z) + \Psi(z_{bot}+\Delta z)) = \Psi(z_{bot})
+\end{align}
+%
+which leads to
+%
+\begin{align}
+  \Psi(z_{bot}-\Delta z) = 2 \Psi(z_{bot}) - \Psi(z_{bot}+\Delta z)
+\end{align}
+%
+Inserting into the equation (\ref{eq:minor_trisolver})
+%
+\begin{align}
+  \left\{ -P(z_{bot}) + Q(z_{bot})\right\} \Psi(z_{bot}) +& R(z_{bot}) \Psi(z_{bot}+\Delta
+  z) = \notag \\
+  {} & f(z_{bot}) - 2 \Psi(z_{bot})P(z_{bot})
+\end{align}
+%
+\\
+
+The upper boundary is ???? not used in the code ?????
+%
+\begin{align}
+ \frac{\partial}{\partial Z} \Psi = \epsilon \Psi
+\end{align}
+%
+which leads to
+%
+\begin{align}
+  \frac{\Psi(z_{top})-\Psi(z_{top}-\Delta z)}{\Delta z} = \frac{\epsilon(z_{top}-
+   \frac{1}{2}\Delta z)}{2}\left( \Psi(z_{top}) + \Psi(z_{top} - \Delta z)\right)
+\end{align}
+%
+and the value for $\Psi(z_{top})$
+%
+\begin{align}
+ \Psi(z_{top}) = \frac{1+ \Delta z\frac{\epsilon(z_{top}-
+   \frac{1}{2}\Delta z)}{2}}{1- \Delta z \frac{\epsilon(z_{top}-
+   \frac{1}{2}\Delta z)}{2}} \Psi(z_{top} - \Delta z)
+\end{align}
+%
+Inserting into the equation (\ref{eq:minor_trisolver})
+%
+\begin{align}
+   & P(z_{top}-\Delta z) \Psi(z_{top}-2 \Delta z) + \{ Q(z_{top}-\Delta z)
+    + \notag \\
+    {} &  R(z_{top}-\Delta z)\}\frac{1+ \Delta z\frac{\epsilon(z_{top}-
+   \frac{1}{2}\Delta z)}{2}}{1- \Delta z \frac{\epsilon(z_{top}-
+   \frac{1}{2}\Delta z)}{2}} \Psi(z_{top} - \Delta z) = f(z_{top}-\Delta z)
+\end{align}
+%
+
+In the code first the thermal diffusion coefficient $\tilde{\alpha}$
+is set with the diffusion vector $\Phi_1 = (0,1.35,1.11)$ and
+$\Phi_2 = (0.673, 0,0.769)$ independent of the species, and the
+vector $\Phi_x$ depending on the species.
+%
+\begin{align}
+  \alpha_{12} = & \Phi_{12}-\Phi_{13} \notag \\
+  \alpha_{21} = & \Phi_{21}-\Phi_{23} \notag \\
+  \alpha_{x1} = & \Phi_{x1}-\Phi_{x3} \notag \\
+  \alpha_{x2} = & \Phi_{x2}-\Phi_{x13}
+\end{align}
+%
+The values $\Psi_x^{t_n-\Delta t}$ are smoothed with the Shapiro
+smoother, first in latitude,
+%
+\begin{align}
+  {}&\Psi_x^{t_n-\Delta t,lat} = \Psi_x^{t_n-\Delta t} - 0.003[
+   \Psi_x^{t_n-\Delta t}(\phi,\lambda-2 \Delta \lambda)+
+   \Psi_x^{t_n-\Delta t}(\phi,\lambda+2 \Delta \lambda)- \notag \\
+   {} & 4\left(
+   \Psi_x^{t_n-\Delta t}(\phi,\lambda+\Delta \lambda)+
+   \Psi_x^{t_n-\Delta t}(\phi,\lambda-\Delta \lambda)
+   \right)+6
+   \Psi_x^{t_n-\Delta t}(\phi,\lambda)]
+\end{align}
+%
+ and then in longitude
+%
+\begin{align}
+  {} & \Psi_x^{t_n-\Delta t,smo} =\Psi_x^{t_n-\Delta t,lat} - 0.003[
+   \Psi_x^{t_n-\Delta t,lat}(\phi-2\Delta \phi,\lambda)+ \notag \\
+   {} & \Psi_x^{t_n-\Delta t,lat}(\phi+2\Delta \phi,\lambda)-
+   4 (
+   \Psi_x^{t_n-\Delta t,lat}(\phi-\Delta \phi,\lambda)+ \notag \\
+   {} & \Psi_x^{t_n-\Delta t,lat}(\phi+\Delta \phi,\lambda)
+   )+6
+   \Psi_x^{t_n-\Delta t,lat}(\phi,\lambda)]
+\end{align}
+%
+The horizontal advection $\mathbf{v}_n \cdot \nabla \Psi_x$ is
+calculated in \src{subroutine advec}, with
+%
+\begin{align}
+   u_n^{\phi}(\phi,\lambda)&= \frac{1}{2}[u_n(\phi+\Delta \phi,\lambda)+ u_n(\phi-\Delta
+   \phi,\lambda)] \notag \\
+   u_n^{2\phi}(\phi,\lambda) &= \frac{1}{2}[u_n(\phi+2\Delta \phi,\lambda)+ u_n(\phi-2\Delta
+   \phi,\lambda)] \notag \\
+   v_n^{\lambda}(\phi,\lambda) &= \frac{1}{2}[v_n(\phi,\lambda+\Delta \lambda)+ v_n(\phi,\lambda-\Delta
+   \lambda)] \notag \\
+   v_n^{2\lambda}(\phi,\lambda)&e = \frac{1}{2}[v_n(\phi,\lambda+2\Delta \lambda)+ v_n(\phi,\lambda-2\Delta
+   \lambda)]
+\end{align}
+%
+and the terms
+%
+\begin{align}
+  T_1(\phi,\lambda) & = \frac{1}{R_E \cos \lambda }
+   \{ \frac{2}{3 \Delta \phi} u_n^{\phi}(\phi,\lambda)
+     \left[\Psi_x(\phi+\Delta \phi,\lambda) -
+    \Psi_x(\phi-\Delta \phi,\lambda)\right]- \notag \\
+    {} & \frac{1}{12 \Delta \phi} u_n^{2\phi}(\phi,\lambda)
+     \left[\Psi_x(\phi+2\Delta \phi,\lambda) -
+    \Psi_x(\phi-2\Delta \phi,\lambda)\right] \} \\
+%
+  T_2(\phi,\lambda) &= \frac{1}{R_E } \{ \frac{2}{3 \Delta \lambda}
+  v_n^{\lambda}(\phi,\lambda)
+     \left[\Psi_x(\phi,\lambda+\Delta \lambda) -
+    \Psi_x(\phi,\lambda-\Delta \lambda)\right]- \notag \\
+    {} & \frac{1}{12 \Delta \lambda} v_n^{2\lambda}(\phi,\lambda)
+     \left[\Psi_x(\phi,\lambda+2\Delta \lambda) -
+    \Psi_x(\phi,\lambda-2\Delta \lambda)\right] \}
+\end{align}
+%
+The advection $\mathbf{v}_n \cdot \nabla \Psi_x$ is then
+%
+\begin{align}
+  \mathbf{v}_n \cdot \nabla \Psi_x = T_1 + T_2
+\end{align}
+%
+
+At the lower boundary the following values are set ??? which
+level$z_{bot}-\frac{1}{2}\Delta z$ such that it fits afterward????
+%
+\begin{align}
+  \Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)=&  b_{11}\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
+      + \notag \\
+      {} & b_{12}\Psi(O)(z_{bot}-\frac{1}{2}\Delta z) + F_b(1) \\
+  \Psi(O)(z_{bot}-\frac{1}{2}\Delta z)= & b_{21}\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
+      + \notag \\
+      {} & b_{22}\Psi(O)(z_{bot}-\frac{1}{2}\Delta z) + F_b(2)
+\end{align}
+%
+with $b_{11}, b_{12}, b_{22}, b_{21}$ and $\mathbf{F}_b$ from the
+file \src{bndry.F} and \src{subroutine bndcmp}. The mean molecular
+mass is
+%
+\begin{align}
+  \overline{m}(z_{bot}-\frac{1}{2}\Delta z) =&  [ \frac{\Psi(O_2)}{m_{O_2}}(z_{bot}-\frac{1}{2}\Delta z)
+     +  \frac{\Psi(O)}{m_{O}} (z_{bot}-\frac{1}{2}\Delta z)+ \notag \\
+     {} &
+     \frac{1-\Psi(O_2)-\Psi(O)}{m_{N_2}}(z_{bot}-\frac{1}{2}\Delta z) ]^{-1}
+\end{align}
+%
+The $N_2$ number density is
+%
+\begin{align}
+  \Psi(N_2)(z+\frac{1}{2} \Delta z) =1- \Psi(O_2)(z+\frac{1}{2} \Delta z)-
+     \Psi(O)(z+\frac{1}{2} \Delta z)
+\end{align}
+%
+and the mean molecular mass is
+%
+\begin{align}
+  \overline{m}(z+\frac{1}{2}\Delta z) & = [ \frac{\Psi(O_2)}{m_{O_2}}(z+\frac{1}{2}\Delta z)
+     +  \frac{\Psi(O)}{m_{O}} (z+\frac{1}{2}\Delta z)+ \notag \\
+    {} &  \frac{\Psi(N_2)}{m_{N_2}}(z+\frac{1}{2}\Delta z) ]^{-1}
+\end{align}
+%
+At the lower boundary the following quantities are calculated
+%
+\begin{align}
+  \overline{m}(z_{bot}) = & \frac{1}{2}[\overline{m}(z_{bot}-\frac{1}{2}\Delta z)+
+  \overline{m}(z_{bot}-\frac{1}{2}\Delta z)] \\
+  \frac{d \overline{m}}{dz}(z_{bot}) = & \frac{\overline{m}(z_{bot}+\frac{1}{2}\Delta z)
+     - \overline{m}(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z} \\
+  \Psi(O)(z_{bot})= &\frac{1}{2}[\Psi(O)(z_{bot}-\frac{1}{2}\Delta z)+
+    \Psi(O)(z_{bot}+\frac{1}{2}\Delta z)] \\
+  \Psi(O_2)(z_{bot})= &\frac{1}{2}[\Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)+
+    \Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)] \\
+  \frac{d \Psi(O)}{dz}(z_{bot}) = & \frac{\Psi(O)(z_{bot}+\frac{1}{2}\Delta z)
+     - \Psi(O)(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z} \\
+  \frac{d \Psi(O_2)}{dz}(z_{bot}) = & \frac{\Psi(O_2)(z_{bot}+\frac{1}{2}\Delta z)
+     - \Psi(O_2)(z_{bot}-\frac{1}{2}\Delta z)}{\Delta z}
+\end{align}
+%
+At all other levels these quantities are
+%
+\begin{align}
+  \overline{m}(z) = & \frac{1}{2}[\overline{m}(z+\frac{1}{2}\Delta z)+
+  \overline{m}(z-\frac{1}{2}\Delta z)] \\
+  \frac{d \overline{m}}{dz}(z) = & \frac{\overline{m}(z+\frac{1}{2}\Delta z)
+     - \overline{m}(z-\frac{1}{2}\Delta z)}{\Delta z} \\
+  \Psi(O)(z)= &\frac{1}{2}[\Psi(O)(z+\frac{1}{2}\Delta z)+
+    \Psi(O)(z-\frac{1}{2}\Delta z)] \\
+  \Psi(O_2)(z_{bot})= &\frac{1}{2}[\Psi(O_2)(z+\frac{1}{2}\Delta z)+
+    \Psi(O_2)(z-\frac{1}{2}\Delta z)] \\
+  \frac{d \Psi(O)}{dz}(z) = & \frac{\Psi(O)(z+\frac{1}{2}\Delta z)
+     - \Psi(O)(z-\frac{1}{2}\Delta z)}{\Delta z} \\
+  \frac{d \Psi(O_2)}{dz}(z) = & \frac{\Psi(O_2)(z+\frac{1}{2}\Delta z)
+     - \Psi(O_2)(z-\frac{1}{2}\Delta z)}{\Delta z}
+\end{align}
+%
+The neutral temperature at the interfaces is set by
+%
+\begin{align}
+  T_n(z_{bot}) = & T_n(z_{LB}) \notag \\
+  T_n(z_{top}) = & T_n(z_{top}-\frac{1}{2} \Delta z) \notag \\
+  T_n(z) = & \frac{1}{2} [ T_n(z + \frac{1}{2}\Delta z) + T_n(z - \frac{1}{2}\Delta
+  z)]
+\end{align}
+%
+The production is calculated by
+%
+\begin{align}
+  P_0 = P_x \frac{m_x k_B T_n(z+\frac{1}{2}\Delta z}
+       {p_0 e^{-z-\frac{1}{2}\Delta z}\overline{m}(z+\frac{1}{2}\Delta z)}
+\end{align}
+%
+and stored in \src{s0prod}. The production $P_x$ for the specie $x$
+is input to the subroutine, and is multiplied by $\frac{m_x}{N
+\overline{m}}$. ???? does this make sense?????
+%
+The final thermal diffusion coefficients are determined ?????
+%
+\begin{align}
+  \alpha_{11,f} = & -[\phi_{13}+\alpha_{12}\Psi(O)(z)] \notag \\
+  \alpha_{12,f} = & -\alpha_{12}\Psi(O_2)(z) \notag \\
+  \alpha_{21,f} = & -[\alpha_{21}\Psi(O)(z) \notag \\
+  \alpha_{22,f} = & -[\phi_{23}+\alpha_{21}\Psi(O_2)(z)] \notag \\
+\end{align}
+%
+The quantity $1
+-\frac{\tilde{m}}{\overline{m}}-\frac{1}{\overline{m}}\frac{\overline{m}}{\partial
+Z} +\tilde{F} \tilde{\Psi}$ is calculated and stored in the variable
+\src{ex} ?????
+%
+\begin{align}
+  T_{ex} =&  \{ (\alpha_{x1} \alpha_{22,f}-\alpha_{x2}\alpha_{21,f})\left[
+     \frac{d \Psi(O_2)}{dZ}- \left(1 - \frac{m_{O_2}+\frac{d \overline{m}}{d Z}}
+     {\overline{m}}\right)\Psi(O_2)\right] + \notag \\
+     {} & (\alpha_{x2} \alpha_{11,f}-\alpha_{x1}\alpha_{12,f})\left[
+     \frac{d \Psi(O)}{dZ}- \left(1 - \frac{m_{O}+\frac{d \overline{m}}{d Z}}
+     {\overline{m}}\right)\Psi(O)\right] \} \notag \\
+     {} & \frac{1}{\alpha_{11,f}\alpha_{22,f}
+     - \alpha_{12,f}\alpha_{21,f}} + 1 - \frac{m_{X}+\frac{d \overline{m}}{d Z}}
+     {\overline{m}} \label{eq:minor_Tex}
+\end{align}
+%
+The vertical molecular diffusion coefficient $\tilde{A}$ is
+determined by
+%
+\begin{align}
+  \tilde{A} = - \frac{\overline{m}(z)}{\tau m_{N_2}}\left( \frac{T_0}{T_n(z)}
+  \right)^{0.25}\left\{ \phi_{x3} + \alpha_{x1}\Psi(O_2)(z) +
+  \alpha_{x2}\Psi(O)\right\}^{-1}
+\end{align}
+%
+with $\tau = 1.86 \cdot 10^{3}$, and $T_0 = 273 K$. The value is
+stored in the variable \src{ax} in the source code. The effects of
+gravity, thermal diffusion and the frictional interaction with the
+major species is expressed by the variable $\tilde{E}$ given by eq.
+(\ref{eq:minor_tildeE})
+%
+\begin{align}
+  T_{thdiff}(z) = T_{ex} -\alpha_X \frac{T_n(z+\Delta z)- T_n(z-\Delta z}{2 \delta z T_n(z)}
+\end{align}
+%
+and $T_{ex}$ given by the expression in eq. (\ref{eq:minor_Tex}).
+The quantity $T_{thdiff}$ is stored in the variable \src{thdiff} in
+the source code. At the lower boundary the value is
+%
+\begin{align}
+  T_{thdiff}(z_{bot}) = T_{ex}(z_{bot}) -\alpha_X \frac{T_n(z_{bot}+\Delta z)-
+  T_n(z_{bot}}{ \Delta z T_n(z_{bot})} \notag \\
+  T_{thdiff}(z_{top}) = T_{ex}(z_{top}) -\alpha_X \frac{T_n(z_{top})-
+  T_n(z_{top}-\Delta z}{ \Delta z T_n(z_{top})}
+\end{align}
+%
+If the INPUT flag \verb"difhor" is set (>0) then the horizontal
+variation of the eddy diffusion and thermal conductivity ???? is set
+by
+%
+\begin{align}
+  |\lambda_r| \geq 40^o \;\;\; & d_{fac} = hor(\lambda)+ 1.0 \notag \\
+  |\lambda_r| < 40^o \;\;\; & d_{fac} = hor(\lambda)+
+  \frac{1}{2}\left( 1 + \sin{\Pi \frac{|\lambda_r| - \frac{\Pi}{9}}{\Pi/4.5}}\right)
+\end{align}
+%
+with $\lambda_r$ going from the south pole to the north pole????
+check $ |\lambda_r|$ ?????
+\\
+
+The coefficients for the equation (\ref{eq:minor_trisolver}) which
+is solved for the mass mixing ratio are ???? check the pressure
+levels and with the equation at the beginning??????
+%
+\begin{align}
+  P = & \frac{\tilde{A}(k)}{\Delta z}\left( \frac{1}{\Delta z} + \frac{1}{2} T_{thdiff(k)}
+  \right) - \notag \\
+  {} & e^{-z -\frac{1}{2}\Delta z} [e^{\frac{1}{2}\Delta z} K_E(k)
+  d_{fac} \left\{ \frac{1}{\Delta z} - \frac{1}{2}
+  \frac{d\overline{m}}{dz}(k)\right\} + \notag \\
+  {} & \frac{1}{4} \left\{ W(z)+W(z+\Delta z)\right\}
+  ]\frac{1}{\Delta z}
+\end{align}
+%
+\begin{align}
+  R = & \frac{\tilde{A}(k+1)}{\Delta z}\left( \frac{1}{\Delta z} - \frac{1}{2} T_{thdiff(k+1)}
+  \right) - \notag \\
+  {} & e^{-z -\frac{1}{2}\Delta z} [e^{-\frac{1}{2}\Delta z} K_E(k+1)
+  d_{fac} \left\{ \frac{1}{\Delta z} + \frac{1}{2}
+  \frac{d\overline{m}}{dz}(k+1)\right\} - \notag \\
+  {} &  \frac{1}{4} \left\{ W(z)+W(z+\Delta z)\right\}
+  ]\frac{1}{\Delta z}
+\end{align}
+%
+\begin{align}
+  Q =& - \{ \frac{\tilde{A}(k)}{\Delta z}\left( \frac{1}{\Delta z} -
+   \frac{1}{2} T_{thdiff(k)} + \frac{\tilde{A}(k+1)}{\Delta z}\left( \frac{1}{\Delta z}
+   + \frac{1}{2} T_{thdiff(k+1)}
+  \right) \right\}+ \notag \\
+  {} & e^{-z -\frac{1}{2}\Delta z}( e^{\frac{1}{2}\Delta z} K_E(k)
+  d_{fac} \left\{ \frac{1}{\Delta z} + \frac{1}{2}
+  \frac{d\overline{m}}{dz}(k)\right\} + \notag \\
+  {} & e^{-\frac{1}{2}\Delta z} K_E(k+1)
+  d_{fac} \left\{ \frac{1}{\Delta z} - \frac{1}{2}
+  \frac{d\overline{m}}{dz}(k)\right\})\frac{1}{\Delta z}-
+  L(l)+\frac{1}{2 \Delta t} \}
+\end{align}
+%
+\begin{align}
+  f = e^{-z -\frac{1}{2}\Delta z}\left\{ \frac{\Psi_X^{t-\Delta t,smo}}{2 \Delta t} -
+       \mathbf{v}_n\cdot \nabla \Psi(k) + R(k) \right\}
+\end{align}
+%
+At the lower boundary
+%
+\begin{align}
+  Q^*(k_{bot}) =&  Q(k_{bot}) + P(k_{bot})\frac{F(1) + 0.5 F(2)\Delta z}
+        {F(1) - 0.5 F(2)\Delta z} \notag \\
+  f^*(k_{bot}) =& f(k_{bot}) -P(k_{bot}) \frac{F(3)\Delta z}
+        {F(1) - 0.5 F(2)\Delta z}  \notag \\
+  P^*(k_{bot}) =& 0
+\end{align}
+%
+with $F$ the coefficient $A, B, C$ of the upward flux which are
+input to the \src{subroutine minor}. The upper boundary is set by
+%
+\begin{align}
+  P^*(k_{top}) =& 1+\frac{1}{2}\Delta z T_{thdiff}(k_{top}) \notag \\
+  Q^*(k_{top}) =& P^*(k_{bot}) - 2. \notag \\
+  R^*(k_{top}) =& 0. \notag \\
+  f^*(k_{top}) =& -\frac{g m_x F_x^{upw,top} \Delta z}{p_0 \tilde{A} N_A}
+\end{align}
+%
+with $F_x^{upw,top}$ the upward number flux at the upper boundary
+which is input to \src{subroutine minor}. \\
+
+%
+Solving for the mass mixing ratio $\Psi$ at each latitude leads to
+the updated mass mixing ratio $\Psi^{upd, t_n+\Delta t}$ at the
+midpoints. The calculated values for the mass mixing ration
+$\Psi^{upd, t + \Delta t}$ are smoothed by a Fast Fourier
+transformation, which is part of the \src{minor module}. All the
+wave numbers larger than a predefined value at each latitude are
+removed. The wave numbers are defined in the
+ \src{subroutine minor}. The values of the mass mixing ration at the
+time step $t_n$ are also updated by using
+%
+\begin{align}
+  \Psi^{upd,t_n} =  \frac{1}{2}({1-c_{smo}})(\Psi^{t_n-\Delta t}+
+     \Psi_{smo}^{upd,t_n+\Delta t}) + c_{smo}\Psi^{t_n}
+\end{align}
+%
+with $c_{smo} = 0.95$. All the values of $\Psi^{upd,t_n}$ and
+$\Psi^{upd,t_n+\Delta t}$ have to be at least as larger as
+$10^{-12}$
+%
diff --git a/doc/description/notation.tex b/doc/description/notation.tex
index d8e51a5..adc464c 100644
--- a/doc/description/notation.tex
+++ b/doc/description/notation.tex
@@ -1,227 +1,227 @@
-%===============================================================================
-%
-\textbf{\Large{Notation}}
-%
-\begin{tabbing}
-\hspace{5mm} \= \hspace{23mm} \=  \kill
-%
-\textbf{\Large{Variables}}                              \\
-
-\>$\mathbf{B} $     \>  geomagnetic field  \\
-\>$B$               \>  geomagnetic field strength   \\
-\>$\mathbf{B}_0 $       \>  Earth main magnetic field  \\

-\>$B_x, B_y, B_z$       \>  geomagnetic main field components (north, east, downward)  \\

-\>$\mathbf{b}_0 $       \>  unit vector along $\mathbf{B}_0 $  \\

-\>$B_{e3}$        	\>  geomagnetic field strength in $\mathbf{e}_3$ direction [nT]   \\

-\>$c$        		\>  coefficient of the finite difference stencil   \\

-\>$\mathbf E$        	\>  electric field   \\

-\>$E_{d1}, E_{d2}$      \>  electric field component in $\mathbf{d}_1$,
-                            $\mathbf{d}_2$ direction  \\

-\>$H$        		\>  scale height    \\

-\>$h$        		\>  height   \\

-\>$h_0$        		\>  reference height   \\

-\>$h_A$        		\>  apex height   \\

-\>$I_m$        		\>  inclination angle of dipolar geomagnetic field line at $h_0$ on a spherical Earth  \\

-\>$\mathbf J$        	\>  current density   \\

-\>$\mathbf J_{||}$      \>  field aligned current density   \\

-\>$\mathbf J_{M}$       \>  magnetospheric current density   \\

-\>$\mathbf J$        	\>  current density   \\

-\>$J_{mr}$        	\>  radial component of current density   \\

-\>$J_{Mr}$        	\>  radial component of current density for both hemispheres added together  \\

-\>$\mathbf K^{M}$       \>  magnetospheric height integrated current density   \\

-\>$K_{m\phi}^{M}$       \>  magnetospheric eastward height-integrated current density   \\

-\>$K_{m\lambda}^{M}$    \>  magnetospheric down--/equatorward height-integrated current density   \\

-\>$K_{m\phi}$        	\>  eastward height-integrated current density   \\

-\>$K_{m\lambda}$        \>  down--/equatorward height-integrated current density   \\

-\>$K_{m\phi}^D$        	\>  wind driven eastward height-integrated current density   \\

-\>$K_{m\lambda}^D$      \>  wind driven down--/equatorward height-integrated current density   \\

-\>$\overline{m}$        \>  mean molecular mass  \\

-\>$m_i$        		\>  atomic weight of specie i   \\

-\>$N_i$        		\>  density of specie i   \\

-\>$n_i$        		\>  number density of specie i   \\

-\>$N_e$        		\>  electron density   \\

-\>$p$        		\>  atmospheric pressure   \\

-\>$p_p$        		\>  plasma pressure   \\

-\>$ln(p_0/p)$        	\>  log pressure levels    \\

-\>$R$        		\>  radius from Earth center to height h   \\

-\>$R_0$        		\>  radius from Earth center to height $h_0$   \\

-\>$T_e$        		\>  electron temperature   \\

-\>$T_i$        		\>  ion temperature   \\

-\>$T_n$        		\>  neutral temperature    \\

-\>$u_n,v_n, w_n$             \>  neutral zonal, meridional and vertical wind   \\

-\>$W$        		\>  dimensionless vertical wind   \\

-\>$z$        		\>  geopotential height   \\

-%
-\>$$        		\>     \\

-\>$\Phi$        	\>  electric potential   \\

-\>$\Phi_R$        	\>  reference electric potential   \\

-\>$\rho_{ion}$        	\>  ion density   \\

-\>$\Sigma_{\phi \phi}$        	        \>  magnetic eastward conductance   \\

-\>$\Sigma_{\lambda \lambda}$        	\>  magnetic equator-/downward conductance   \\

-\>$\Sigma_{\phi \lambda}, \Sigma_{\lambda \phi }$   \>  mixed term conductances   \\

-\>$\Sigma_{\phi \phi}^M , \Sigma_{H}^M$        	    \>  equivalent magnetospheric conductances   \\

-\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\

-\>$\nabla$        	\>  gradient    \\

-\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\

-\>$\mathbf{u}$          \>  neutral wind  \\

-\>$\Phi$                \>  electric potential  \\

-\>$$        		\>     \\

-\>$\mathbf{d}_1, \mathbf{d}_2, \mathbf{d}_3$  \>  magnetic eastward, magnetic 
-                            down--/equatorward vectors, along the field line   \\

-\>$\mathbf{e}_1, \mathbf{e}_2, \mathbf{e}_3$  \>  magnetic eastward, magnetic 
-                            down--/equatorward vectors, along the field line   \\

-\>$D = |\mathbf{d}_1 \times \mathbf{d}_2|$   \>  quantity of  Earth geomagnetic coordinate system   \\

-\>$F$                   \>  quantity of dipole field \\

-\>$i$        		\>  longitudinal index   \\

-\>$j$        		\>  latitudinal index   \\

-\>$k$        		\>  height index   \\

-\>$(\cdot)_i, (\cdot)_j, (\cdot)_k$        \>  quantity at $\phi(i)$, $\lambda(j)$, $h(k)$,   \\

-\>$nlon$                \>  number of discrete geographic longitude grid points  \\

-\>$nmlon$               \>  number of discrete geomagnetic longitude grid points  \\

-\>$nlat$                \>  number of discrete geographic latitude grid points  \\

-\>$nmlat$               \>  number of discrete geomagnetic latitude grid points  \\

-\>$s_L, s_U$        	\>  lower and upper boundary for field line integration    \\

-\>$wgt$        		\>  weight for linear interpolation   \\

-\>$\phi, \lambda$       \>  longitude, latitude   \\

-\>$\phi_g,\lambda_g$    \>  geographic longitude, latitude   \\

-\>$\lambda_A$        	\>  apex latitude   \\

-\>$\lambda_m$        	\>  modified apex latitude   \\

-\>$\lambda_m^*$        	\>  irregular modified apex latitude grid distribution  \\

-\>$\lambda_0$        	\>  equally spaced latitudinal grid distribution in $\lambda_m^*$   \\

-\>$\lambda_{m}^{crb}$   \>  modified apex latitude of convection reversal boundary   \\

-\>$\phi_m$        	\>  modified apex longitude  \\

-\>$$        		\>     \\

-\>$(\cdot)_0$        	\>  refers to reference height    \\

-\>$(\cdot)(0)$        	\>  refers to equally spaced latitudinal grid $\lambda_0$    \\

-\>$(\cdot)_A$        	\>  quantity at apex of field-line   \\

-\>$(\cdot)_g$        	\>  refers to geographic direction   \\

-\>$(\cdot)'$        	\>  half pressure level $(\cdot) +\frac{1}{2}$   \\

-\>$(\cdot)_{d1} ,(\cdot)_{d2},(\cdot)_{d3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\

-\>$(\cdot)_{e1} ,(\cdot)_{e2},(\cdot)_{e3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\

-\>$(\cdot)_{eq}$        \>  value at the geomagnetic equator   \\

-\>$(\cdot)_{fl}$        \>  value on the geomagnetic  field line   \\

-\>$(\cdot)_{m \phi} ,(\cdot)_{m \lambda}$         \>  modified apex eastward and down--/equatorward direction of quantity $(\cdot)$  \\

-\>$(\cdot)_{pole}$      \>  values at the geomagnetic poles   \\

-\>$(\cdot)^D$        	\>  dynamo part   \\

-\>$(\cdot)^{p,g}$       \>  refers to plasma pressure and gravity contribution   \\

-\>$(\cdot)^T$        	\>  both hemispheres added together   \\

-\>$\frac{d (\cdot)}{dt}$\>  total time rate of change   \\

-\>$\frac{\partial (\cdot)}{\partial}$\>  partial derivative   \\

-\>$lhs, rhs$        		\>  left and right hand side of electrodynamo equation   \\

-\>$T_n$             \> neutral temperature    \\
-\>$T_i$             \> ion temperature    \\
-\>$T_e$             \> electron temperature    \\
-\>$\mathbf{\lambda}^{mag}$         \> ion drag tensor in geomagnetic direction    \\
-\>$\mathbf{\lambda}^{geo}$         \> ion drag tensor in geographic direction    \\
-\>$\lambda_1, \lambda_2$ \> ion drag coefficient component in geomagnetic direction    \\
-\>$\sigma_H$        \> Hall conductivity    \\
-\>$\sigma_P$        \> Pedersen conductivity    \\
-\>$\Psi_{O_2}, \Psi_O, \Psi_{N_2}$     \> mass mixing ratio of $O_2, O, N_2$    \\
-\>$N_{i}$           \> number density of i    \\
-\>$\overline{m}$    \> mean molecular mass    \\
-\>$\overline{m}_n$    \> mean molecular mass of neutrals   \\
-\>$\overline{m}_{ion}$    \> mean molecular mass of ions   \\
-\>$\Omega$          \> gyro frequency    \\
-\>$D$               \> declination of geomagnetic field    \\
-\>$I$               \> inclination of geomagnetic field    \\
-\>$nlev$            \> number of discrete height levels    \\
-\>$nlev0$            \> height level index of bottom   \\
-\>$nlev1$            \> height level index of top    \\
-\>$\rho$            \> mass density    \\
-\>$\nu$             \> collision frequency    \\
-\>$e$               \> electron charge    \\
-\>$Q_J$             \> energy rate per unit mass of Joule heating    \\
-\>$Q_J^{T_n}$             \> Joule heating of neutral temperature   \\
-\>$\textbf{J}$      \> current    \\
-\>$\textbf{J}_{\bot}$\> current perpendicular to  $\textbf{B}$   \\
-\>$\textbf{E}$      \> electric field   \\
-\>$\textbf{E}'$     \> electric field in the frame of neutral wind    \\
-\>$\textbf{v}_{ExB}$\> $\textbf{E} \times \textbf{B}$ drift velocity     \\
-\>$\textbf{v}_n$    \> neutral wind vector    \\
-\>$\textbf{v}_{n\bot}$    \> neutral wind vector $\bot$ to $mathbf{B}$     \\
-\>$u_n, v_n$    \> zonal and meridional neutral wind components    \\
-\>$E_{m \phi},E_{m \lambda}, E_z$     \> geomagnetic east-, north- and upward electric field   \\
-\>$E_{x}, E_{y}, E_{z}$          \> electric field in geographic east-,north-, upward direction on geographic grid   \\
-\>$\mathbf{E}_{geo}$             \> electric field in geographic direction    \\
-\>$\mathbf{E}_{mag}$             \> electric field in geomagnetic direction    \\
-\>$v_{ExB,x}, $                  \>  electromagnetic drift velocity   \\
-\>$v_{ExB,y}, v_{ExB,z}$         \>  (geographic east-,north-, upward)  \\
-\>$\phi_m, \lambda_m$            \> geomagnetic coordinates    \\
-\>$\phi_g, \lambda_g$            \> geographic coordinates    \\
-\>$\lambda_0$                    \> equally spaced latitudinal grid points in $\lambda_m^*$    \\
-\>$\lambda_m^*$                  \> irregular spaced latitudinal grid points    \\
-\>$\mathbf{J_{mag}}$               \> Jacobian $\frac{\partial s_{mag}}{\partial s_{geo}}$    \\
-\>$j_{11},j_{12}, j_{21}, j_{22}$\> Components of the Jacobian matrix $\mathbf{J_mag}$    \\
-\>$s_{mag}, s_{geo}$             \> generic magnetic and geographic coordinate systems     \\
-\>$k_{bot},k_{top}$              \> height index for bottom and top of model    \\
-\>$\mathbf{f}_1, \mathbf{f}_2$   \> apex base vectors    \\
-\>$t_n$             \> time at time step $n$    \\
-\>$t_{n+1}$         \> time at time step $n+1$    \\
-\>$\Psi_i$          \> mass mixing ratio of specie i e.g. $O_2, O, N$     \\
-\>$H$               \> scale height    \\
-\>$W$               \> dimensionless vertical velocity     \\
-\>$w$               \> vertical velocity    \\
-\>$N_{i}$  \> number density of species $i$ with $i$ = ${O_2}, {O^+},{NO^+},{N^+}$    \\
-\>$N$               \> total number density    \\
-\>$\nu$             \> collision frequency    \\
-\>$\nu_{in}$        \> collision frequency ion-neutral     \\
-\>$\nu_{en}$        \> collision frequency electron-neutral    \\
-\>$\sigma_p, \sigma_h$  \> Pederson and Hall conductivities     \\
-\>$\sigma_1, \sigma_2$  \> conductivity in geomagnetic direction    \\
-\>$Z$               \> geopotential height     \\
-\>$z$               \> dimensionless variable $Z= -\ln \frac{p}{p_0}$ / log
-pressure coordinate    \\
-\>$p$               \> pressure     \\
-\>$p_0$             \> reference pressure     \\
-\>$\Phi $           \>   electric potential  \\
-\>$\mu$             \> viscosity    \\
-\>$\mu_{ed}$        \> eddy viscosity    \\
-\>$\mu_{mol}$       \> molecular viscosity    \\
-\>$K_T$             \> molecular thermal conductivity    \\
-\>$K_E$             \> eddy diffusion coefficient    \\
-\>$k_m$             \> molecular viscosity    \\
-\>$h_d$             \> horizontal diffusion    \\
-\>$Q_{J,T}$         \> Joule heating of neutral temperature    \\
-\>$Q$               \> heating    \\
-\>$L$               \> loss    \\
-\>$C_p$             \> specific heat per unit mass    \\
-\>$\rho$            \> atmospheric mass density    \\
-\>$R$               \> Radius with $R = R_E + z$    \\
-\>$$                \>     \\
-\>$$                \>     \\
-\>$$                \>     \\
-\>$$                \>     \\
-\>$$                \>     \\
-\>$$                \>     \\
-\>$$                \>     \\
-%
-\end{tabbing}
-%
-\textbf{\Large{Constants}}
-%
-\begin{tabbing}
-\hspace{5mm} \= \hspace{15mm} \= \hspace{40mm} \=  \kill
-%
-\>$\mathbf{g}(h_0)$ \>  $870 \frac{cm}{s^2} \;  (TIEGCM)$          \>  gravitational acceleration at height $h_0$   \\
-\>                  \>  $945 \frac{cm}{s^2} \; (TIMEGCM)$          \>  gravitational acceleration at height $h_0$   \\
-\>$M_i$         \>  $1.6605 \cdot 10^{-24} \; g$     \>  mass of unit atomic weight\\
-\>$h_0$         \>  $90 km(T*GCM)$                   \>  height of lower boundary for
-                                                             electrodynamo \\
-\>$h_R$         \>  $90 km$                          \>  reference height\\
-\>$R_E$         \>  $6.37122 \cdot 10^{8} \; cm$     \>  mean Earth radius   \\
-\>$p_0$         \>  $5.0\cdot 10^{-4}$               \>  standard pressure\\
-\>$k_B$         \>  $1.38 \cdot 10^{-16} \; \frac{cm^2g}{s^2 K}$ \> Boltzman constant\\
-\>$R^*$         \>  $8.314e7 \frac{erg}{mole K}$ \> gas constant\\
-\>$R_{eq}$      \>  $6.37814 \cdot 10^{8}$  \> Earth radius at the equator \\
-\>$N_a$         \> $6.023 \times 10^{23}$  \> Avogadro number\\
-\>$e$           \> $1.602 \cdot 10^{-19}$  \> electron charge\\
-\>$$            \>   \> \\
-\>$$            \>   \> \\
-
-%
-\end{tabbing}
-%
-The model code defines these constants to the stated accuracy.
-We do not mean to imply that these constants are known to this accuracy
-nor that the low-order digits are significant to the physical approximations
-employed.
+%===============================================================================
+%
+\textbf{\Large{Notation}}
+%
+\begin{tabbing}
+\hspace{5mm} \= \hspace{23mm} \=  \kill
+%
+\textbf{\Large{Variables}}                              \\
+
+\>$\mathbf{B} $     \>  geomagnetic field  \\
+\>$B$               \>  geomagnetic field strength   \\
+\>$\mathbf{B}_0 $       \>  Earth main magnetic field  \\
+\>$B_x, B_y, B_z$       \>  geomagnetic main field components (north, east, downward)  \\
+\>$\mathbf{b}_0 $       \>  unit vector along $\mathbf{B}_0 $  \\
+\>$B_{e3}$        	\>  geomagnetic field strength in $\mathbf{e}_3$ direction [nT]   \\
+\>$c$        		\>  coefficient of the finite difference stencil   \\
+\>$\mathbf E$        	\>  electric field   \\
+\>$E_{d1}, E_{d2}$      \>  electric field component in $\mathbf{d}_1$,
+                            $\mathbf{d}_2$ direction  \\
+\>$H$        		\>  scale height    \\
+\>$h$        		\>  height   \\
+\>$h_0$        		\>  reference height   \\
+\>$h_A$        		\>  apex height   \\
+\>$I_m$        		\>  inclination angle of dipolar geomagnetic field line at $h_0$ on a spherical Earth  \\
+\>$\mathbf J$        	\>  current density   \\
+\>$\mathbf J_{||}$      \>  field aligned current density   \\
+\>$\mathbf J_{M}$       \>  magnetospheric current density   \\
+\>$\mathbf J$        	\>  current density   \\
+\>$J_{mr}$        	\>  radial component of current density   \\
+\>$J_{Mr}$        	\>  radial component of current density for both hemispheres added together  \\
+\>$\mathbf K^{M}$       \>  magnetospheric height integrated current density   \\
+\>$K_{m\phi}^{M}$       \>  magnetospheric eastward height-integrated current density   \\
+\>$K_{m\lambda}^{M}$    \>  magnetospheric down--/equatorward height-integrated current density   \\
+\>$K_{m\phi}$        	\>  eastward height-integrated current density   \\
+\>$K_{m\lambda}$        \>  down--/equatorward height-integrated current density   \\
+\>$K_{m\phi}^D$        	\>  wind driven eastward height-integrated current density   \\
+\>$K_{m\lambda}^D$      \>  wind driven down--/equatorward height-integrated current density   \\
+\>$\overline{m}$        \>  mean molecular mass  \\
+\>$m_i$        		\>  atomic weight of specie i   \\
+\>$N_i$        		\>  density of specie i   \\
+\>$n_i$        		\>  number density of specie i   \\
+\>$N_e$        		\>  electron density   \\
+\>$p$        		\>  atmospheric pressure   \\
+\>$p_p$        		\>  plasma pressure   \\
+\>$ln(p_0/p)$        	\>  log pressure levels    \\
+\>$R$        		\>  radius from Earth center to height h   \\
+\>$R_0$        		\>  radius from Earth center to height $h_0$   \\
+\>$T_e$        		\>  electron temperature   \\
+\>$T_i$        		\>  ion temperature   \\
+\>$T_n$        		\>  neutral temperature    \\
+\>$u_n,v_n, w_n$             \>  neutral zonal, meridional and vertical wind   \\
+\>$W$        		\>  dimensionless vertical wind   \\
+\>$z$        		\>  geopotential height   \\
+%
+\>$$        		\>     \\
+\>$\Phi$        	\>  electric potential   \\
+\>$\Phi_R$        	\>  reference electric potential   \\
+\>$\rho_{ion}$        	\>  ion density   \\
+\>$\Sigma_{\phi \phi}$        	        \>  magnetic eastward conductance   \\
+\>$\Sigma_{\lambda \lambda}$        	\>  magnetic equator-/downward conductance   \\
+\>$\Sigma_{\phi \lambda}, \Sigma_{\lambda \phi }$   \>  mixed term conductances   \\
+\>$\Sigma_{\phi \phi}^M , \Sigma_{H}^M$        	    \>  equivalent magnetospheric conductances   \\
+\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
+\>$\nabla$        	\>  gradient    \\
+\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
+\>$\mathbf{u}$          \>  neutral wind  \\
+\>$\Phi$                \>  electric potential  \\
+\>$$        		\>     \\
+\>$\mathbf{d}_1, \mathbf{d}_2, \mathbf{d}_3$  \>  magnetic eastward, magnetic 
+                            down--/equatorward vectors, along the field line   \\
+\>$\mathbf{e}_1, \mathbf{e}_2, \mathbf{e}_3$  \>  magnetic eastward, magnetic 
+                            down--/equatorward vectors, along the field line   \\
+\>$D = |\mathbf{d}_1 \times \mathbf{d}_2|$   \>  quantity of  Earth geomagnetic coordinate system   \\
+\>$F$                   \>  quantity of dipole field \\
+\>$i$        		\>  longitudinal index   \\
+\>$j$        		\>  latitudinal index   \\
+\>$k$        		\>  height index   \\
+\>$(\cdot)_i, (\cdot)_j, (\cdot)_k$        \>  quantity at $\phi(i)$, $\lambda(j)$, $h(k)$,   \\
+\>$nlon$                \>  number of discrete geographic longitude grid points  \\
+\>$nmlon$               \>  number of discrete geomagnetic longitude grid points  \\
+\>$nlat$                \>  number of discrete geographic latitude grid points  \\
+\>$nmlat$               \>  number of discrete geomagnetic latitude grid points  \\
+\>$s_L, s_U$        	\>  lower and upper boundary for field line integration    \\
+\>$wgt$        		\>  weight for linear interpolation   \\
+\>$\phi, \lambda$       \>  longitude, latitude   \\
+\>$\phi_g,\lambda_g$    \>  geographic longitude, latitude   \\
+\>$\lambda_A$        	\>  apex latitude   \\
+\>$\lambda_m$        	\>  modified apex latitude   \\
+\>$\lambda_m^*$        	\>  irregular modified apex latitude grid distribution  \\
+\>$\lambda_0$        	\>  equally spaced latitudinal grid distribution in $\lambda_m^*$   \\
+\>$\lambda_{m}^{crb}$   \>  modified apex latitude of convection reversal boundary   \\
+\>$\phi_m$        	\>  modified apex longitude  \\
+\>$$        		\>     \\
+\>$(\cdot)_0$        	\>  refers to reference height    \\
+\>$(\cdot)(0)$        	\>  refers to equally spaced latitudinal grid $\lambda_0$    \\
+\>$(\cdot)_A$        	\>  quantity at apex of field-line   \\
+\>$(\cdot)_g$        	\>  refers to geographic direction   \\
+\>$(\cdot)'$        	\>  half pressure level $(\cdot) +\frac{1}{2}$   \\
+\>$(\cdot)_{d1} ,(\cdot)_{d2},(\cdot)_{d3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{e1} ,(\cdot)_{e2},(\cdot)_{e3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{eq}$        \>  value at the geomagnetic equator   \\
+\>$(\cdot)_{fl}$        \>  value on the geomagnetic  field line   \\
+\>$(\cdot)_{m \phi} ,(\cdot)_{m \lambda}$         \>  modified apex eastward and down--/equatorward direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{pole}$      \>  values at the geomagnetic poles   \\
+\>$(\cdot)^D$        	\>  dynamo part   \\
+\>$(\cdot)^{p,g}$       \>  refers to plasma pressure and gravity contribution   \\
+\>$(\cdot)^T$        	\>  both hemispheres added together   \\
+\>$\frac{d (\cdot)}{dt}$\>  total time rate of change   \\
+\>$\frac{\partial (\cdot)}{\partial}$\>  partial derivative   \\
+\>$lhs, rhs$        		\>  left and right hand side of electrodynamo equation   \\
+\>$T_n$             \> neutral temperature    \\
+\>$T_i$             \> ion temperature    \\
+\>$T_e$             \> electron temperature    \\
+\>$\mathbf{\lambda}^{mag}$         \> ion drag tensor in geomagnetic direction    \\
+\>$\mathbf{\lambda}^{geo}$         \> ion drag tensor in geographic direction    \\
+\>$\lambda_1, \lambda_2$ \> ion drag coefficient component in geomagnetic direction    \\
+\>$\sigma_H$        \> Hall conductivity    \\
+\>$\sigma_P$        \> Pedersen conductivity    \\
+\>$\Psi_{O_2}, \Psi_O, \Psi_{N_2}$     \> mass mixing ratio of $O_2, O, N_2$    \\
+\>$N_{i}$           \> number density of i    \\
+\>$\overline{m}$    \> mean molecular mass    \\
+\>$\overline{m}_n$    \> mean molecular mass of neutrals   \\
+\>$\overline{m}_{ion}$    \> mean molecular mass of ions   \\
+\>$\Omega$          \> gyro frequency    \\
+\>$D$               \> declination of geomagnetic field    \\
+\>$I$               \> inclination of geomagnetic field    \\
+\>$nlev$            \> number of discrete height levels    \\
+\>$nlev0$            \> height level index of bottom   \\
+\>$nlev1$            \> height level index of top    \\
+\>$\rho$            \> mass density    \\
+\>$\nu$             \> collision frequency    \\
+\>$e$               \> electron charge    \\
+\>$Q_J$             \> energy rate per unit mass of Joule heating    \\
+\>$Q_J^{T_n}$             \> Joule heating of neutral temperature   \\
+\>$\textbf{J}$      \> current    \\
+\>$\textbf{J}_{\bot}$\> current perpendicular to  $\textbf{B}$   \\
+\>$\textbf{E}$      \> electric field   \\
+\>$\textbf{E}'$     \> electric field in the frame of neutral wind    \\
+\>$\textbf{v}_{ExB}$\> $\textbf{E} \times \textbf{B}$ drift velocity     \\
+\>$\textbf{v}_n$    \> neutral wind vector    \\
+\>$\textbf{v}_{n\bot}$    \> neutral wind vector $\bot$ to $mathbf{B}$     \\
+\>$u_n, v_n$    \> zonal and meridional neutral wind components    \\
+\>$E_{m \phi},E_{m \lambda}, E_z$     \> geomagnetic east-, north- and upward electric field   \\
+\>$E_{x}, E_{y}, E_{z}$          \> electric field in geographic east-,north-, upward direction on geographic grid   \\
+\>$\mathbf{E}_{geo}$             \> electric field in geographic direction    \\
+\>$\mathbf{E}_{mag}$             \> electric field in geomagnetic direction    \\
+\>$v_{ExB,x}, $                  \>  electromagnetic drift velocity   \\
+\>$v_{ExB,y}, v_{ExB,z}$         \>  (geographic east-,north-, upward)  \\
+\>$\phi_m, \lambda_m$            \> geomagnetic coordinates    \\
+\>$\phi_g, \lambda_g$            \> geographic coordinates    \\
+\>$\lambda_0$                    \> equally spaced latitudinal grid points in $\lambda_m^*$    \\
+\>$\lambda_m^*$                  \> irregular spaced latitudinal grid points    \\
+\>$\mathbf{J_{mag}}$               \> Jacobian $\frac{\partial s_{mag}}{\partial s_{geo}}$    \\
+\>$j_{11},j_{12}, j_{21}, j_{22}$\> Components of the Jacobian matrix $\mathbf{J_mag}$    \\
+\>$s_{mag}, s_{geo}$             \> generic magnetic and geographic coordinate systems     \\
+\>$k_{bot},k_{top}$              \> height index for bottom and top of model    \\
+\>$\mathbf{f}_1, \mathbf{f}_2$   \> apex base vectors    \\
+\>$t_n$             \> time at time step $n$    \\
+\>$t_{n+1}$         \> time at time step $n+1$    \\
+\>$\Psi_i$          \> mass mixing ratio of specie i e.g. $O_2, O, N$     \\
+\>$H$               \> scale height    \\
+\>$W$               \> dimensionless vertical velocity     \\
+\>$w$               \> vertical velocity    \\
+\>$N_{i}$  \> number density of species $i$ with $i$ = ${O_2}, {O^+},{NO^+},{N^+}$    \\
+\>$N$               \> total number density    \\
+\>$\nu$             \> collision frequency    \\
+\>$\nu_{in}$        \> collision frequency ion-neutral     \\
+\>$\nu_{en}$        \> collision frequency electron-neutral    \\
+\>$\sigma_p, \sigma_h$  \> Pederson and Hall conductivities     \\
+\>$\sigma_1, \sigma_2$  \> conductivity in geomagnetic direction    \\
+\>$Z$               \> geopotential height     \\
+\>$z$               \> dimensionless variable $Z= -\ln \frac{p}{p_0}$ / log
+pressure coordinate    \\
+\>$p$               \> pressure     \\
+\>$p_0$             \> reference pressure     \\
+\>$\Phi $           \>   electric potential  \\
+\>$\mu$             \> viscosity    \\
+\>$\mu_{ed}$        \> eddy viscosity    \\
+\>$\mu_{mol}$       \> molecular viscosity    \\
+\>$K_T$             \> molecular thermal conductivity    \\
+\>$K_E$             \> eddy diffusion coefficient    \\
+\>$k_m$             \> molecular viscosity    \\
+\>$h_d$             \> horizontal diffusion    \\
+\>$Q_{J,T}$         \> Joule heating of neutral temperature    \\
+\>$Q$               \> heating    \\
+\>$L$               \> loss    \\
+\>$C_p$             \> specific heat per unit mass    \\
+\>$\rho$            \> atmospheric mass density    \\
+\>$R$               \> Radius with $R = R_E + z$    \\
+\>$$                \>     \\
+\>$$                \>     \\
+\>$$                \>     \\
+\>$$                \>     \\
+\>$$                \>     \\
+\>$$                \>     \\
+\>$$                \>     \\
+%
+\end{tabbing}
+%
+\textbf{\Large{Constants}}
+%
+\begin{tabbing}
+\hspace{5mm} \= \hspace{15mm} \= \hspace{40mm} \=  \kill
+%
+\>$\mathbf{g}(h_0)$ \>  $870 \frac{cm}{s^2} \;  (TIEGCM)$          \>  gravitational acceleration at height $h_0$   \\
+\>                  \>  $945 \frac{cm}{s^2} \; (TIMEGCM)$          \>  gravitational acceleration at height $h_0$   \\
+\>$M_i$         \>  $1.6605 \cdot 10^{-24} \; g$     \>  mass of unit atomic weight\\
+\>$h_0$         \>  $90 km(T*GCM)$                   \>  height of lower boundary for
+                                                             electrodynamo \\
+\>$h_R$         \>  $90 km$                          \>  reference height\\
+\>$R_E$         \>  $6.37122 \cdot 10^{8} \; cm$     \>  mean Earth radius   \\
+\>$p_0$         \>  $5.0\cdot 10^{-4}$               \>  standard pressure\\
+\>$k_B$         \>  $1.38 \cdot 10^{-16} \; \frac{cm^2g}{s^2 K}$ \> Boltzman constant\\
+\>$R^*$         \>  $8.314e7 \frac{erg}{mole K}$ \> gas constant\\
+\>$R_{eq}$      \>  $6.37814 \cdot 10^{8}$  \> Earth radius at the equator \\
+\>$N_a$         \> $6.023 \times 10^{23}$  \> Avogadro number\\
+\>$e$           \> $1.602 \cdot 10^{-19}$  \> electron charge\\
+\>$$            \>   \> \\
+\>$$            \>   \> \\
+
+%
+\end{tabbing}
+%
+The model code defines these constants to the stated accuracy.
+We do not mean to imply that these constants are known to this accuracy
+nor that the low-order digits are significant to the physical approximations
+employed.
diff --git a/doc/description/notation_dyn.tex b/doc/description/notation_dyn.tex
index e73fe48..8006b57 100644
--- a/doc/description/notation_dyn.tex
+++ b/doc/description/notation_dyn.tex
@@ -1,129 +1,129 @@
-%===============================================================================
+%===============================================================================
 %
 \textbf{\Large{Notation}} 
 %        						
-\begin{tabbing}
-\hspace{5mm} \= \hspace{23mm} \=  \kill
+\begin{tabbing}
+\hspace{5mm} \= \hspace{23mm} \=  \kill
 %
-\textbf{\Large{Variables}}         						\\
+\textbf{\Large{Variables}}         						\\
 
-\>$\mathbf{B} $         \>  geomagnetic field  \\
-\>$\mathbf{B}_0 $       \>  Earth main magnetic field  \\
-\>$B_x, B_y, B_z$       \>  geomagnetic main field components (north, east, downward)  \\
-\>$\mathbf{b}_0 $       \>  unit vector along $\mathbf{B}_0 $  \\
-\>$B_{e3}$        	\>  geomagnetic field strength in $\mathbf{e}_3$ direction [nT]   \\
-\>$c$        		\>  coefficient of the finite difference stencil   \\
-\>$\mathbf E$        	\>  electric field   \\
+\>$\mathbf{B} $         \>  geomagnetic field  \\
+\>$\mathbf{B}_0 $       \>  Earth main magnetic field  \\
+\>$B_x, B_y, B_z$       \>  geomagnetic main field components (north, east, downward)  \\
+\>$\mathbf{b}_0 $       \>  unit vector along $\mathbf{B}_0 $  \\
+\>$B_{e3}$        	\>  geomagnetic field strength in $\mathbf{e}_3$ direction [nT]   \\
+\>$c$        		\>  coefficient of the finite difference stencil   \\
+\>$\mathbf E$        	\>  electric field   \\
 \>$E_{d1}, E_{d2}$      \>  electric field component in $\mathbf{d}_1$,
-                            $\mathbf{d}_2$ direction  \\
-\>$H$        		\>  scale height    \\
-\>$h$        		\>  height   \\
-\>$h_0$        		\>  reference height   \\
-\>$h_A$        		\>  apex height   \\
-\>$I_m$        		\>  inclination angle of dipolar geomagnetic field line at $h_0$ on a spherical Earth  \\
-\>$\mathbf J$        	\>  current density   \\
-\>$\mathbf J_{||}$      \>  field aligned current density   \\
-\>$\mathbf J_{M}$       \>  magnetospheric current density   \\
-\>$\mathbf J$        	\>  current density   \\
-\>$J_{mr}$        	\>  radial component of current density   \\
-\>$J_{Mr}$        	\>  radial component of current density for both hemispheres added together  \\
-\>$\mathbf K^{M}$       \>  magnetospheric height integrated current density   \\
-\>$K_{m\phi}^{M}$       \>  magnetospheric eastward height-integrated current density   \\
-\>$K_{m\lambda}^{M}$    \>  magnetospheric down--/equatorward height-integrated current density   \\
-\>$K_{m\phi}$        	\>  eastward height-integrated current density   \\
-\>$K_{m\lambda}$        \>  down--/equatorward height-integrated current density   \\
-\>$K_{m\phi}^D$        	\>  wind driven eastward height-integrated current density   \\
-\>$K_{m\lambda}^D$      \>  wind driven down--/equatorward height-integrated current density   \\
-\>$\overline{m}$        \>  mean molecular mass  \\
-\>$m_i$        		\>  atomic weight of specie i   \\
-\>$N_i$        		\>  density of specie i   \\
-\>$n_i$        		\>  number density of specie i   \\
-\>$N_e$        		\>  electron density   \\
-\>$p$        		\>  atmospheric pressure   \\
-\>$p_p$        		\>  plasma pressure   \\
-\>$ln(p_0/p)$        	\>  log pressure levels    \\
-\>$R$        		\>  radius from Earth center to height h   \\
-\>$R_0$        		\>  radius from Earth center to height $h_0$   \\
-\>$T_e$        		\>  electron temperature   \\
-\>$T_i$        		\>  ion temperature   \\
-\>$T_n$        		\>  neutral temperature    \\
-\>$u_n,v_n, w_n$             \>  neutral zonal, meridional and vertical wind   \\
-\>$W$        		\>  dimensionless vertical wind   \\
-\>$z$        		\>  geopotential height   \\
+                            $\mathbf{d}_2$ direction  \\
+\>$H$        		\>  scale height    \\
+\>$h$        		\>  height   \\
+\>$h_0$        		\>  reference height   \\
+\>$h_A$        		\>  apex height   \\
+\>$I_m$        		\>  inclination angle of dipolar geomagnetic field line at $h_0$ on a spherical Earth  \\
+\>$\mathbf J$        	\>  current density   \\
+\>$\mathbf J_{||}$      \>  field aligned current density   \\
+\>$\mathbf J_{M}$       \>  magnetospheric current density   \\
+\>$\mathbf J$        	\>  current density   \\
+\>$J_{mr}$        	\>  radial component of current density   \\
+\>$J_{Mr}$        	\>  radial component of current density for both hemispheres added together  \\
+\>$\mathbf K^{M}$       \>  magnetospheric height integrated current density   \\
+\>$K_{m\phi}^{M}$       \>  magnetospheric eastward height-integrated current density   \\
+\>$K_{m\lambda}^{M}$    \>  magnetospheric down--/equatorward height-integrated current density   \\
+\>$K_{m\phi}$        	\>  eastward height-integrated current density   \\
+\>$K_{m\lambda}$        \>  down--/equatorward height-integrated current density   \\
+\>$K_{m\phi}^D$        	\>  wind driven eastward height-integrated current density   \\
+\>$K_{m\lambda}^D$      \>  wind driven down--/equatorward height-integrated current density   \\
+\>$\overline{m}$        \>  mean molecular mass  \\
+\>$m_i$        		\>  atomic weight of specie i   \\
+\>$N_i$        		\>  density of specie i   \\
+\>$n_i$        		\>  number density of specie i   \\
+\>$N_e$        		\>  electron density   \\
+\>$p$        		\>  atmospheric pressure   \\
+\>$p_p$        		\>  plasma pressure   \\
+\>$ln(p_0/p)$        	\>  log pressure levels    \\
+\>$R$        		\>  radius from Earth center to height h   \\
+\>$R_0$        		\>  radius from Earth center to height $h_0$   \\
+\>$T_e$        		\>  electron temperature   \\
+\>$T_i$        		\>  ion temperature   \\
+\>$T_n$        		\>  neutral temperature    \\
+\>$u_n,v_n, w_n$             \>  neutral zonal, meridional and vertical wind   \\
+\>$W$        		\>  dimensionless vertical wind   \\
+\>$z$        		\>  geopotential height   \\
 %
-\>$$        		\>     \\
-\>$\Phi$        	\>  electric potential   \\
-\>$\Phi_R$        	\>  reference electric potential   \\
-\>$\rho_{ion}$        	\>  ion density   \\
-\>$\Sigma_{\phi \phi}$        	        \>  magnetic eastward conductance   \\
-\>$\Sigma_{\lambda \lambda}$        	\>  magnetic equator-/downward conductance   \\
-\>$\Sigma_{\phi \lambda}, \Sigma_{\lambda \phi }$   \>  mixed term conductances   \\
-\>$\Sigma_{\phi \phi}^M , \Sigma_{H}^M$        	    \>  equivalent magnetospheric conductances   \\
-\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
-\>$\nabla$        	\>  gradient    \\
-\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
-\>$\mathbf{u}$          \>  neutral wind  \\
-\>$\Phi$                \>  electric potential  \\
-\>$$        		\>     \\
+\>$$        		\>     \\
+\>$\Phi$        	\>  electric potential   \\
+\>$\Phi_R$        	\>  reference electric potential   \\
+\>$\rho_{ion}$        	\>  ion density   \\
+\>$\Sigma_{\phi \phi}$        	        \>  magnetic eastward conductance   \\
+\>$\Sigma_{\lambda \lambda}$        	\>  magnetic equator-/downward conductance   \\
+\>$\Sigma_{\phi \lambda}, \Sigma_{\lambda \phi }$   \>  mixed term conductances   \\
+\>$\Sigma_{\phi \phi}^M , \Sigma_{H}^M$        	    \>  equivalent magnetospheric conductances   \\
+\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
+\>$\nabla$        	\>  gradient    \\
+\>$\sigma_P, \sigma_H$  \>  Pedersen and Hall conductivities  \\
+\>$\mathbf{u}$          \>  neutral wind  \\
+\>$\Phi$                \>  electric potential  \\
+\>$$        		\>     \\
 \>$\mathbf{d}_1, \mathbf{d}_2, \mathbf{d}_3$  \>  magnetic eastward, magnetic 
-                            down--/equatorward vectors, along the field line   \\
+                            down--/equatorward vectors, along the field line   \\
 \>$\mathbf{e}_1, \mathbf{e}_2, \mathbf{e}_3$  \>  magnetic eastward, magnetic 
-                            down--/equatorward vectors, along the field line   \\
-\>$D = |\mathbf{d}_1 \times \mathbf{d}_2|$   \>  quantity of  Earth geomagnetic coordinate system   \\
-\>$F$                   \>  quantity of dipole field \\
-\>$i$        		\>  longitudinal index   \\
-\>$j$        		\>  latitudinal index   \\
-\>$k$        		\>  height index   \\
-\>$(\cdot)_i, (\cdot)_j, (\cdot)_k$        \>  quantity at $\phi(i)$, $\lambda(j)$, $h(k)$,   \\
-\>$nlon$                \>  number of discrete geographic longitude grid points  \\
-\>$nmlon$               \>  number of discrete geomagnetic longitude grid points  \\
-\>$nlat$                \>  number of discrete geographic latitude grid points  \\
-\>$nmlat$               \>  number of discrete geomagnetic latitude grid points  \\
-\>$s_L, s_U$        	\>  lower and upper boundary for field line integration    \\
-\>$wgt$        		\>  weight for linear interpolation   \\
-\>$\phi, \lambda$       \>  longitude, latitude   \\
-\>$\phi_g,\lambda_g$    \>  geographic longitude, latitude   \\
-\>$\lambda_A$        	\>  apex latitude   \\
-\>$\lambda_m$        	\>  modified apex latitude   \\
-\>$\lambda_m^*$        	\>  irregular modified apex latitude grid distribution  \\
-\>$\lambda_0$        	\>  equally spaced latitudinal grid distribution in $\lambda_m^*$   \\
-\>$\lambda_{m}^{crb}$   \>  modified apex latitude of convection reversal boundary   \\
-\>$\phi_m$        	\>  modified apex longitude  \\
-\>$$        		\>     \\
-\>$(\cdot)_0$        	\>  refers to reference height    \\
-\>$(\cdot)(0)$        	\>  refers to equally spaced latitudinal grid $\lambda_0$    \\
-\>$(\cdot)_A$        	\>  quantity at apex of field-line   \\
-\>$(\cdot)_g$        	\>  refers to geographic direction   \\
-\>$(\cdot)'$        	\>  half pressure level $(\cdot) +\frac{1}{2}$   \\
-\>$(\cdot)_{d1} ,(\cdot)_{d2},(\cdot)_{d3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
-\>$(\cdot)_{e1} ,(\cdot)_{e2},(\cdot)_{e3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
-\>$(\cdot)_{eq}$        \>  value at the geomagnetic equator   \\
-\>$(\cdot)_{fl}$        \>  value on the geomagnetic  field line   \\
-\>$(\cdot)_{m \phi} ,(\cdot)_{m \lambda}$         \>  modified apex eastward and down--/equatorward direction of quantity $(\cdot)$  \\
-\>$(\cdot)_{pole}$      \>  values at the geomagnetic poles   \\
-\>$(\cdot)^D$        	\>  dynamo part   \\
-\>$(\cdot)^{p,g}$       \>  refers to plasma pressure and gravity contribution   \\
-\>$(\cdot)^T$        	\>  both hemispheres added together   \\
-\>$\frac{d (\cdot)}{dt}$\>  total time rate of change   \\
-\>$\frac{\partial (\cdot)}{\partial}$\>  partial derivative   \\
-\>$lhs, rhs$        		\>  left and right hand side of electrodynamo equation   \\
-\>$$        		\>     \\
+                            down--/equatorward vectors, along the field line   \\
+\>$D = |\mathbf{d}_1 \times \mathbf{d}_2|$   \>  quantity of  Earth geomagnetic coordinate system   \\
+\>$F$                   \>  quantity of dipole field \\
+\>$i$        		\>  longitudinal index   \\
+\>$j$        		\>  latitudinal index   \\
+\>$k$        		\>  height index   \\
+\>$(\cdot)_i, (\cdot)_j, (\cdot)_k$        \>  quantity at $\phi(i)$, $\lambda(j)$, $h(k)$,   \\
+\>$nlon$                \>  number of discrete geographic longitude grid points  \\
+\>$nmlon$               \>  number of discrete geomagnetic longitude grid points  \\
+\>$nlat$                \>  number of discrete geographic latitude grid points  \\
+\>$nmlat$               \>  number of discrete geomagnetic latitude grid points  \\
+\>$s_L, s_U$        	\>  lower and upper boundary for field line integration    \\
+\>$wgt$        		\>  weight for linear interpolation   \\
+\>$\phi, \lambda$       \>  longitude, latitude   \\
+\>$\phi_g,\lambda_g$    \>  geographic longitude, latitude   \\
+\>$\lambda_A$        	\>  apex latitude   \\
+\>$\lambda_m$        	\>  modified apex latitude   \\
+\>$\lambda_m^*$        	\>  irregular modified apex latitude grid distribution  \\
+\>$\lambda_0$        	\>  equally spaced latitudinal grid distribution in $\lambda_m^*$   \\
+\>$\lambda_{m}^{crb}$   \>  modified apex latitude of convection reversal boundary   \\
+\>$\phi_m$        	\>  modified apex longitude  \\
+\>$$        		\>     \\
+\>$(\cdot)_0$        	\>  refers to reference height    \\
+\>$(\cdot)(0)$        	\>  refers to equally spaced latitudinal grid $\lambda_0$    \\
+\>$(\cdot)_A$        	\>  quantity at apex of field-line   \\
+\>$(\cdot)_g$        	\>  refers to geographic direction   \\
+\>$(\cdot)'$        	\>  half pressure level $(\cdot) +\frac{1}{2}$   \\
+\>$(\cdot)_{d1} ,(\cdot)_{d2},(\cdot)_{d3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{e1} ,(\cdot)_{e2},(\cdot)_{e3}$       \>  magnetic eastward, down--/equatorward, field-line direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{eq}$        \>  value at the geomagnetic equator   \\
+\>$(\cdot)_{fl}$        \>  value on the geomagnetic  field line   \\
+\>$(\cdot)_{m \phi} ,(\cdot)_{m \lambda}$         \>  modified apex eastward and down--/equatorward direction of quantity $(\cdot)$  \\
+\>$(\cdot)_{pole}$      \>  values at the geomagnetic poles   \\
+\>$(\cdot)^D$        	\>  dynamo part   \\
+\>$(\cdot)^{p,g}$       \>  refers to plasma pressure and gravity contribution   \\
+\>$(\cdot)^T$        	\>  both hemispheres added together   \\
+\>$\frac{d (\cdot)}{dt}$\>  total time rate of change   \\
+\>$\frac{\partial (\cdot)}{\partial}$\>  partial derivative   \\
+\>$lhs, rhs$        		\>  left and right hand side of electrodynamo equation   \\
+\>$$        		\>     \\
 %
 \end{tabbing}
 %
 \textbf{\Large{Constants}} 
 %        						
-\begin{tabbing}
-\hspace{5mm} \= \hspace{15mm} \= \hspace{40mm} \=  \kill
+\begin{tabbing}
+\hspace{5mm} \= \hspace{15mm} \= \hspace{40mm} \=  \kill
 %
-\>$\mathbf{g}(h_0)$ \>  $870 \frac{cm}{s^2} \;  (TIEGCM)$          \>  gravitational acceleration at height $h_0$   \\
-\>                  \>  $945 \frac{cm}{s^2} \; (TIMEGCM)$          \>  gravitational acceleration at height $h_0$   \\
-\>$M_i$   	    \>  $1.6605 \cdot 10^{-24} \; g$     \>  mass of unit atomic weight\\
+\>$\mathbf{g}(h_0)$ \>  $870 \frac{cm}{s^2} \;  (TIEGCM)$          \>  gravitational acceleration at height $h_0$   \\
+\>                  \>  $945 \frac{cm}{s^2} \; (TIMEGCM)$          \>  gravitational acceleration at height $h_0$   \\
+\>$M_i$   	    \>  $1.6605 \cdot 10^{-24} \; g$     \>  mass of unit atomic weight\\
 \>$h_0$   	    \>  $90 km(T*GCM)$                   \>  height of lower boundary for 
-                                                             electrodynamo \\
-\>$h_R$   	    \>  $90 km$                          \>  reference height\\
-\>$R_E$             \>  $6.37122 \cdot 10^{8} \; cm$     \>  mean Earth radius   \\
-\>$p_0$   	    \>  $5.0\cdot 10^{-4}$               \>  standard pressure\\
+                                                             electrodynamo \\
+\>$h_R$   	    \>  $90 km$                          \>  reference height\\
+\>$R_E$             \>  $6.37122 \cdot 10^{8} \; cm$     \>  mean Earth radius   \\
+\>$p_0$   	    \>  $5.0\cdot 10^{-4}$               \>  standard pressure\\
 \>$k_B$   	    \>  $1.38 \cdot 10^{-16} \; \frac{cm^2g}{s^2 K}$ \> Boltzman constant\\
                  
 \>$R^*$             \>  $8.314e7 \frac{erg}{mole K}$ \> gas constant\\
                  
 \>$R_{eq}$          \>  $$  \> Earth radius at the equator \\
                  
diff --git a/doc/description/o.tex b/doc/description/o.tex
index 500e68d..5355828 100644
--- a/doc/description/o.tex
+++ b/doc/description/o.tex
@@ -1,96 +1,96 @@
-%
-\section{Calculation of $O^+$ number density / \index{OPLUS.F}}\label{cap:oplus}
-%
-The input to \src{subroutine oplus} is summarized in table
-\ref{tab:input_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
-dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
-mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
-mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
-mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
-electron temperature &       $T_e$              & $K$   &  midpoints & $t_n$\\
-ion temperature &       $T_i$              & $K$   &  midpoints & $t_n$\\
-electron density &       $N_e$              & $\#/cm^3$   &  interfaces & $t_n$\\
-number density of $N_2(D)??$ &       $n(N_2(D))??$              & $\#/cm^3$   &  midpoints & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,x}$              & $cm/s$   &  interface & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,y}$              & $cm/s$   &  interfaces & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,z}$              & $cm/s$   &  interfaces & $t_n$\\
-conversion factor $mmr$ to $\#/cm^3$ &       $N\overline{m}$              & $\frac{\# g}{cm^3 mole}$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{t_n- \Delta t}$ & $\#/cm^3$
-&  midpoints??? & $t_n- \Delta t$
-  \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine oplus}}
-\label{tab:input_oplus}
-\end{table}
-%
-The output of \src{subroutine oplus} is summarized in table
-\ref{tab:output_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-number density of $O^+$ &       $n(O^+)^{upd,t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{upd,t_n+ \Delta t}$ &
-$\#/cm^3$   &  midpoints??? & $t_n+ \Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine oplus}}
-\label{tab:output_oplus}
-\end{table}
-%
-%
-The module data of \src{subroutine oplus} is summarized in table
-\ref{tab:module_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline heating from solar radiation ???&
-{$Q(^2P)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-heating from solar radiation &
-{$Q(O^+(^2D))$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-heating from solar radiation ????&
-{$Q(O^+)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-chemical reaction rates &
-{$k_i$}     & $??$   & -  & $-???$ \\
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine oplus}}
-\label{tab:module_oplus}
-\end{table}
-%
-Most major species are in photochemical equilibrium below $1000 km$,
-and can be simply calculated by balancing the production and loss
-rates. However,  $O^+$ is determined by considering diffusion, along
-the magnetic field line and the $\mathbf{E} \times \mathbf{B}$
-transport. In the following for simplicity the variable $n$ is used
-for the $O^+$ number density $n(O^+)$.
-%
-\begin{align}
-  \frac{\partial n}{\partial t} -Q + L n = - \nabla \cdot (n
-  \mathbf{v}_i) \label{eq:oplus_simple}
-\end{align}
-%
-with $n$ the $O^+$ number density, $Q$ the production rate of $O^+$,
-$L$ the loss rate of $O^+$. The right hand side is the transport due
-$\mathbf{E} \times \mathbf{B}$ drift and the field aligned ambipolar
-diffusion. The ion velocity $\mathbf{v}_i$ is given by
-%
-\begin{align}
-  \mathbf{v}_i = \mathbf{v}_{i,\parallel} + \mathbf{v}_{i,\perp}
-\end{align}
-%
-with the parallel and perpendicular velocity with respect to the
-geomagnetic field
+%
+\section{Calculation of $O^+$ number density / \index{OPLUS.F}}\label{cap:oplus}
+%
+The input to \src{subroutine oplus} is summarized in table
+\ref{tab:input_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
+dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
+mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
+mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
+mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
+electron temperature &       $T_e$              & $K$   &  midpoints & $t_n$\\
+ion temperature &       $T_i$              & $K$   &  midpoints & $t_n$\\
+electron density &       $N_e$              & $\#/cm^3$   &  interfaces & $t_n$\\
+number density of $N_2(D)??$ &       $n(N_2(D))??$              & $\#/cm^3$   &  midpoints & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,x}$              & $cm/s$   &  interface & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,y}$              & $cm/s$   &  interfaces & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,z}$              & $cm/s$   &  interfaces & $t_n$\\
+conversion factor $mmr$ to $\#/cm^3$ &       $N\overline{m}$              & $\frac{\# g}{cm^3 mole}$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{t_n- \Delta t}$ & $\#/cm^3$
+&  midpoints??? & $t_n- \Delta t$
+  \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine oplus}}
+\label{tab:input_oplus}
+\end{table}
+%
+The output of \src{subroutine oplus} is summarized in table
+\ref{tab:output_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+number density of $O^+$ &       $n(O^+)^{upd,t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{upd,t_n+ \Delta t}$ &
+$\#/cm^3$   &  midpoints??? & $t_n+ \Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine oplus}}
+\label{tab:output_oplus}
+\end{table}
+%
+%
+The module data of \src{subroutine oplus} is summarized in table
+\ref{tab:module_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline heating from solar radiation ???&
+{$Q(^2P)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+heating from solar radiation &
+{$Q(O^+(^2D))$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+heating from solar radiation ????&
+{$Q(O^+)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+chemical reaction rates &
+{$k_i$}     & $??$   & -  & $-???$ \\
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine oplus}}
+\label{tab:module_oplus}
+\end{table}
+%
+Most major species are in photochemical equilibrium below $1000 km$,
+and can be simply calculated by balancing the production and loss
+rates. However,  $O^+$ is determined by considering diffusion, along
+the magnetic field line and the $\mathbf{E} \times \mathbf{B}$
+transport. In the following for simplicity the variable $n$ is used
+for the $O^+$ number density $n(O^+)$.
+%
+\begin{align}
+  \frac{\partial n}{\partial t} -Q + L n = - \nabla \cdot (n
+  \mathbf{v}_i) \label{eq:oplus_simple}
+\end{align}
+%
+with $n$ the $O^+$ number density, $Q$ the production rate of $O^+$,
+$L$ the loss rate of $O^+$. The right hand side is the transport due
+$\mathbf{E} \times \mathbf{B}$ drift and the field aligned ambipolar
+diffusion. The ion velocity $\mathbf{v}_i$ is given by
+%
+\begin{align}
+  \mathbf{v}_i = \mathbf{v}_{i,\parallel} + \mathbf{v}_{i,\perp}
+\end{align}
+%
+with the parallel and perpendicular velocity with respect to the
+geomagnetic field
diff --git a/doc/description/oplus.tex b/doc/description/oplus.tex
index 64d233f..21e651f 100644
--- a/doc/description/oplus.tex
+++ b/doc/description/oplus.tex
@@ -1,833 +1,833 @@
-%
-\section{Calculation of $O^+$ number density  
-  \index{OPLUS.F}}\label{cap:oplus}
-%
-The input to \src{subroutine oplus} is summarized in table
-\ref{tab:input_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
-neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
-neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
-dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
-mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
-mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
-mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
-electron temperature &       $T_e$              & $K$   &  midpoints & $t_n$\\
-ion temperature &       $T_i$              & $K$   &  midpoints & $t_n$\\
-electron density &       $N_e$              & $\#/cm^3$   &  interfaces & $t_n$\\
-number density of $N_2(D)??$ &       $n(N_2(D))??$              & $\#/cm^3$   &  midpoints & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,x}$              & $cm/s$   &  interface & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,y}$              & $cm/s$   &  interfaces & $t_n$\\
-electrodynamic drift velocity &       $v_{ExB,z}$              & $cm/s$   &  interfaces & $t_n$\\
-conversion factor $mmr$ to $\#/cm^3$ &       $N\overline{m}$              & $\frac{\# g}{cm^3 mole}$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{t_n- \Delta t}$ & $\#/cm^3$
-&  midpoints??? & $t_n- \Delta t$
-  \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine oplus}}
-\label{tab:input_oplus}
-\end{table}
-%
-The output of \src{subroutine oplus} is summarized in table
-\ref{tab:output_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline
-number density of $O^+$ &       $n(O^+)^{upd,t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
-number density of $O^+$ &       $n(O^+)^{upd,t_n+ \Delta t}$ &
-$\#/cm^3$   &  midpoints??? & $t_n+ \Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine oplus}}
-\label{tab:output_oplus}
-\end{table}
-%
-%
-The module data of \src{subroutine oplus} is summarized in table
-\ref{tab:module_oplus}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline heating from solar radiation ???&
-{$Q(^2P)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-heating from solar radiation &
-{$Q(O^+(^2D))$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-heating from solar radiation ????&
-{$Q(O^+)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
-chemical reaction rates &
-{$k_i$}     & $??$   & -  & $-???$ \\
-\\ \hline \hline
-\end{tabular}
-\caption{Module data of \src{subroutine oplus}}
-\label{tab:module_oplus}
-\end{table}
-%
-Most major species are in photochemical equilibrium below $1000 km$,
-and can be simply calculated by balancing the production and loss
-rates. However,  $O^+$ is determined by considering diffusion, along
-the magnetic field line and the $\mathbf{E} \times \mathbf{B}$
-transport. In the following for simplicity the variable $n$ is used
-for the $O^+$ number density $n(O^+)$.
-%
-\begin{align}
-  \frac{\partial n}{\partial t} -Q + L n = - \nabla \cdot (n
-  \mathbf{v}_i) \label{eq:oplus_simple}
-\end{align}
-%
-with $n$ the $O^+$ number density, $Q$ the production rate of $O^+$,
-$L$ the loss rate of $O^+$. The right hand side is the transport due
-$\mathbf{E} \times \mathbf{B}$ drift and the field aligned ambipolar
-diffusion. The ion velocity $\mathbf{v}_i$ is given by
-%
-\begin{align}
-  \mathbf{v}_i = \mathbf{v}_{i,\parallel} + \mathbf{v}_{i,\perp}
-\end{align}
-%
-with the parallel and perpendicular velocity with respect to the
-geomagnetic field
-%
-\begin{align}
-  \mathbf{v}_{i,\parallel} = & \left[ \mathbf{b} \cdot \frac{1}{\nu_{in}} \left( \mathbf{g}
-     - \frac{1}{\rho_i} \nabla (P_i + P_e)\right)+ \mathbf{b} \cdot
-     \mathbf{v}_n\right] \mathbf{b} \label{eq:oplus_v_parall}\\
- \mathbf{v}_{i,\perp} = & \frac{\mathbf{E} \times \mathbf{B}}{|B|} \label{eq:oplus_v_perp}
-\end{align}
-%
-The parallel velocity is caused by ambipolar diffusion and the
-perpendicular velocity by $\mathbf{E} \times \mathbf{B}$ drift
-velocity. The unit vector along the geomagnetic field line is
-$\mathbf{b}$, $\nu_{in}$ is the $O^+$ ion-neutral collision
-frequency, $\mathbf{g}$ the gravitational acceleration due to
-gravity, $\rho_i$ is the ion mass density, $P_i$ and $P_e$ are the
-ion and electron pressure, $\mathbf{v}_n$ is the neutral velocity,
-$|B|$ is the geomagnetic field strength, and $\mathbf{E}$ is the
-electric field. \\
-Inserting the parallel (\ref{eq:oplus_v_parall}) and perpendicular
-(\ref{eq:oplus_v_perp}) velocity into the $O^+$ transport equation
-(\ref{eq:oplus_simple}) leads to
-%
-\begin{align}
-  {}& \frac{\partial n}{\partial t} - Q + Ln + \left[ (\mathbf{b}_h \cdot \nabla_h)
-  K b_z\right] \left[ \left( \frac{1}{H}\frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B}n\right)
-  \right] \notag \\
-  {}& - (\mathbf{b}_h \cdot \nabla_h)(\mathbf{b}\cdot{v}_n n) +
-  \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
-  \mathbf{b} \right) K b_z \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B} n\right)
-   - \notag \\
-  {}& \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
-  \mathbf{b} \right)(\mathbf{b}\cdot{v}_n n) - \left[ B^2 \mathbf{v}_{ExB,h} \cdot
-  \nabla \left( \frac{n}{B^2}\right)\right]_H - \notag \\
-  {}& B^2 \mathbf{v}_{ExB,z} \frac{1}{H} \frac{\partial}{\partial Z}
-  \left( \frac{n}{B^2}\right) + \left( \mathbf{b}_H\cdot \nabla_H
-  \right) K \left( \mathbf{b}_H\cdot \nabla_H \right) (2 n T_p) + \notag \\
-  {}& K b_z \left( \mathbf{b}_H\cdot \nabla_H \right) \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) +
-   \frac{m g}{k_B}n \right)  + \notag \\
-   {}& \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot \mathbf{b}\right)
-   K \left( \mathbf{b}_H \cdot \nabla_H (2 n T_p)\right) = 0 \label{eq:oplus_optrans}
-\end{align}
-%
-where the ambipolar diffusion coefficient is $K = D_A + K_E$ with
-$K_E$ the eddy diffusion coefficient in the lower thermosphere, and
-$D_A$ the molecular diffusion coefficient. The geomagnetic unit
-vector, the horizontal vector and vertical component are
-$\mathbf{b}$, $\mathbf{b}_H$ and $b_z$ respectively. The scale
-height is denoted by $H$, $ \mathbf{v}_{ExB,h}$ is the horizontal
-drift vector, and $\mathbf{v}_{ExB,z}$ the vertical component. The
-horizontal derivative of $\nabla$ is $\nabla_H$. The plasma
-pressure is $T_p = \frac{1}{2}(T_e + T_i)$. \\
-%
-The fourth, eleventh, and sixth term are the contributions of the
-vertical component of ambipolar diffusion to the plasma transport
-due to respectively, the horizontal variation of the diffusion
-coefficient and $b_z$, the horizontal variation of the vertical
-ambipolar diffusion, and the vertical variation of the vertical
-ambipolar diffusion. The tenth term is the contribution of the
-horizontal component of the ambipolar diffusion due to variations in
-the vertical and horizontal direction. The fifth and seventh term
-are the neutral wind effects on the $O^+$ distribution, and the
-eight and ninth terms are the effects of the $\mathbf{E} \times
-\mathbf{B}$ transport. \\
-
-%
-The flux at the upper boundary is determined in the \src{subroutine
-oplus\_flux}. The transport from and to the plasmasphere is
-specified by the flux $\Phi$. The latitudinal variation of the flux
-is specified by the factor $A$
-%
-\begin{align}
-  A = & 1 & \;\;\; \text{for} & |\lambda_m| \geq \frac{\Pi}{24} \notag \\
-  A = & \frac{1}{2} \left( 1 + \sin{ \Pi \frac{|\lambda_m| -
- \frac{\Pi}{48}}{\Pi/24}} \right) \;\;\; & \text{for} & |\lambda_m| <
-\frac{\Pi}{24}
-\end{align}
-%
-with $A \geq 0.05$, and $\lambda_m$ the geomagnetic latitude. 
-The daytime flux is $\Phi_D^o$ and upward, and
-the nighttime flux $\Phi_N^o$ which is downward
-%
-\begin{align}
- \Phi_D^o = 2 \cdot 10^8 \notag \\
- \Phi_N^o = - 2 \cdot 10^8
-\end{align}
-%
-and the flux variation during the day-- and nighttime is given by
-%
-\begin{align}
- F_{eD} = & \Phi_D^o A \notag \\
- F_{eN} = & \Phi_N^o A
- \end{align}
-%
-The solar zenith angle $\psi$ determines which flux $F^{O^+}$ is
-used
-%
-\begin{align}
-  F^{O^+} = F_{eN} \;\;\; \text{for} \; \; \; \psi \geq 80^o \notag \\
-  F^{O^+} = F_{eD} \;\;\; \text{for} \; \; \; \psi < 100^o \label{eq:oplus_flux1}
-\end{align}
-%
-with
-%
-\begin{align}
-  F^{O^+} = \frac{1}{2} [F_{eD} + F_{eN}] + \frac{1}{2} [F_{eD} -
-  F_{eN}]\cos (\Pi \frac{\psi-80}{20})\;\;\; \text{for} \; \; \; 80^o < \psi < 100^o \label{eq:oplus_flux2}
-\end{align}
-%
-The divergence of the geomagnetic field vector $\mathbf{b}$ is
-determined in \src{subroutine divb}. Since variation in height of
-the geomagnetic field is neglected the divergence also varies only
-with latitude and longitude.
-%
-\begin{align}
- \nabla \cdot \mathbf{b} = &  \frac{b_x (\phi + \Delta \phi, \lambda) -
-     b_x(\phi - \Delta \phi, \lambda)}{2 \Delta \phi R_E \cos
-     \lambda} + \notag \\
-     {} & \frac{\cos{\lambda+\Delta \lambda}b_y (\phi, \lambda+ \Delta \lambda) -
-     \cos{\lambda-\Delta \lambda}b_y(\phi, \lambda- \Delta \lambda)}{2 \Delta \lambda R_E \cos
-     \lambda} + \notag \\
-     {} & \frac{2 b_z(\phi,\lambda)}{R_E}
-\end{align}
-%
-with $b_y$ the northward, $b_x$ the eastward, and $b_z$ the upward
-component of the unit geomagnetic field vector
-$\frac{\mathbf{B}}{|B|}$. The divergence is stored in the value \src{dvb}.\\
-
-%
-In the first latitudinal scan the plasma pressure is determined at
-$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
-\lambda$, e.g. at $\lambda$
-%
-\begin{align}
-  T_p(\phi,\lambda, z+\frac{1}{2}\Delta z) = \frac{1}{2} (T_i + T_e)
-\end{align}
-%
-The values in the code are stored in the variable \src{tpj}. \\
-
-%
-In \src{subroutine rrk} the diffusion coefficient are determined.
-The values are stored in the variable \src{dj} in the source code at
-$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
-\lambda$.
-%
-\begin{align}
-  D_A = \frac{1.42 \cdot 10^{17} k_B T_n}
-  {p \overline{m}\left[
-    \frac{\Psi_O}{m_O} \sqrt{T_p}(1-0.064 log_{10} T_p)^2 C_f + 18.6 \frac{\Psi_{N_2}}{m_{N_2}}
-    + 18.1 \frac{\Psi_{O_2}}{m_{O_2}}\right]}
-\end{align}
-%
-with the pressure $p(z + \frac{1}{2}\Delta ) = p_0 e^{-z -
-\frac{1}{2}\Delta z}$, the number density of $N_2$ is $\Psi_{N_2}= 1
-- \Psi_{O_2}-\Psi_O$, the factor is $C_f = 1.5$, and $N = \frac{p_0
-e^{-z - \frac{1}{2}\Delta z}}{k_B T_n}$. The value $D_A$ is
-determined at half pressure levels e.g. $z + \frac{1}{2} \Delta z$.
-%
-The variable \src{tpj} holds $2 T_p$ at the midpoint pressure level
-$z + \frac{1}{2} \Delta z$ and at the latitudes $\lambda - \Delta
-\lambda$, $\lambda$ and , $\lambda + \Delta \lambda$. The scale
-height is also determined at the midpoint pressure level, and the
-latitudes $\lambda - \Delta \lambda$, $\lambda$ and , $\lambda +
-\Delta \lambda$.
-%
-\begin{align}
-  H = \frac{R^* T_n}{\overline{m} g}
-\end{align}
-%
-The scale height is stored in the variable \src{hj}. The dot product
-$\mathbf{b} \cdot \mathbf{v}_n n$ is stored in \src{bvel} and
-calculated also on the midpoint pressure level, and the latitudes
-$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
-\lambda$.
-%
-\begin{align}
-   \mathbf{b} \cdot \mathbf{v}_n n = \left[  b_x u_n + b_y v_n + b_z
-      \frac{W(z) + W(z+\frac{1}{2} \Delta z)}{2} H(z+\frac{1}{2} \Delta
-      z)\right]n
-\end{align}
-%
-In \src{subroutine diffus} the term $ \left[2 \frac{\partial T_p
-n}{H
-\partial Z} + \frac{m_{O^+}  g}{R^*}n \right] $ at the midpoint
-pressure level is determined
-%
-\begin{align}
- F(z+\frac{1}{2}\Delta z) =  & \frac{1}{2 H(z+\frac{1}{2}\Delta z) \Delta z}[2 T_p(z+\frac{3}{2}\Delta
- z)n(z+\frac{3}{2}\Delta z) - \notag \\
- {} & 2 T_p(z-\frac{1}{2}\Delta z)n(z-\frac{1}{2}\Delta z)
- ] + \frac{m_{O^+}  g}{R^*}  n(z+\frac{1}{2}\Delta z)
- \label{eq:oplus_F}
-\end{align}
-%
-The term is stored in the variable \src{diffj}. The upper and lower
-boundary values are set by
-%
-\begin{align}
- F(z_{bot}+\frac{1}{2}\Delta z) = & \frac{1}{ H(z_{bot}+\frac{1}{2}\Delta z) \Delta z} [2 T_p(z_{bot}+\frac{3}{2}\Delta
- z)n(z_{bot}+\frac{3}{2}\Delta z) - \\
- {} & 2 T_p(z_{bot}+\frac{1}{2}\Delta z)n(z_{bot}+\frac{1}{2}\Delta z)
- ] + \frac{m_{O^+}  g}{R^*}  n(z_{bot}+\frac{1}{2}\Delta z) \notag \\
-%
- F(z_{top}-\frac{1}{2}\Delta z) = & \frac{1}{ H(z_{top}-\frac{1}{2}\Delta z) \Delta z} [2 T_p(z_{top}-\frac{1}{2}\Delta
- z)n(z_{top}-\frac{1}{2}\Delta z) -  \\
- {}& 2 T_p(z_{top}-\frac{3}{2}\Delta z)n(z_{top}-\frac{3}{2}\Delta z)
- ] + \frac{m_{O^+}  g}{R^*}  n(z_{top}-\frac{1}{2}\Delta z) \notag
-\end{align}
-%
-The value $2 n T_p$ is determined at midpoint level, and the
-latitudes $\lambda - \Delta \lambda$, $\lambda$ and , $\lambda +
-\Delta \lambda$. The value overwrites the variable \src{tpj}. The
-latitudinal smoothed value of $n(O^+)^{t_n- \Delta t}$ are
-determined by
-%
-\begin{align}
- n(O^+)^{smo\lambda,t_n- \Delta t} = & n(O^+)^{t_n- \Delta t} - f_{smo}[
- n(O^+)^{t_n- \Delta t} (\lambda+ 2 \Delta \lambda) + \notag \\
- {} & n(O^+)^{t_n- \Delta t}(\lambda- 2 \Delta \lambda) - 4 (
- n(O^+)^{t_n- \Delta t}(\lambda+  \Delta \lambda)+ \notag \\
- {} & n(O^+)^{t_n- \Delta t}(\lambda- \Delta \lambda)) + 6n(O^+)^{t_n- \Delta
- t}(\lambda)] \label{eq:oplus_smolat}
-\end{align}
-%
-and stored in \src{optm1\_smooth}, and $f_{smo} = 0.003$. \\
-
-%
-The second latitudinal scan starts with calculating the value of
-$\mathbf{b} \cdot \nabla_H$ in \src{subroutine bdotdh} at the
-midpoint level. The output variable is \src{bdotdh\_op}. The input
-is the term from eq. (\ref{eq:oplus_F}) $F = \left[2  \frac{\partial
-T_p n}{H
-\partial Z} + \frac{m_{O^+}  g}{R^*} n \right] $, which leads to
-$( \mathbf{b} \cdot \nabla_H ) \left[2  \frac{\partial T_p n}{H
-\partial Z} + \frac{m_{O^+}  g n}{R^*} \right] $
-%
-\begin{align}
-  T1 = & \frac{1}{R_E} [ \frac{b_x}{2 \Delta \phi  \cos \lambda }
-  \left\{
-   F(\phi+ \Delta \phi, \lambda) - F(\phi- \Delta \phi, \lambda)\right\}
-   + \notag \\
-   {} & b_y \frac{F(\phi, \lambda+ \Delta \lambda) -
-   F(\phi, \lambda- \Delta \lambda)}{2 \Delta \lambda}]
-   \label{eq:oplus_T1}
-\end{align}
-%
-The term is multiplied by the diffusion coefficient $D_A$ from
-\src{subroutine rrk}, which leads to
-%
-\begin{align}
-  D_A(z+\frac{1}{2} \Delta z) b_z ( \mathbf{b} \cdot \nabla_H ) \left[2 \frac{\partial T_p n}{H
-\partial Z} + \frac{m_{O^+}  g }{R^*} n \right] \label{eq:oplus_T1b}
-\end{align}
-%
-The same \src{subroutine bdotdh} is used to calculate $\mathbf{b}
-\cdot \nabla_H \left[ 2 T_p n \right]$. Using eq.
-(\ref{eq:oplus_T1}) with $F = 2 T_p n$. The values are determined at
-the midpoint pressure level, and at the latitudes $\lambda - \Delta
-\lambda$, $\lambda$ and , $\lambda + \Delta \lambda$. Afterwards the
-value is multiplied by
-%
-\begin{align}
-  D_A(z+\frac{1}{2} \Delta z) \mathbf{b} \cdot \nabla_H \left[ 2 T_p n \right]
-  \label{eq:oplus_T2}
-\end{align}
-%
-and stored in the variable \src{bdotdh\_opj}. \\
-
-%
-The third latitudinal scan starts with calling the \src{subroutine
-bdotdh} for the term in eq. (\ref{eq:oplus_T2}) $F= D_A \mathbf{b}
-\cdot \nabla_H \left[ 2 T_p n \right]$, which leads to (see eq.
-(\ref{eq:oplus_T1}))
-%
-\begin{align}
-  \mathbf{b}
-\cdot \nabla_H \left( D_A \mathbf{b} \cdot \nabla_H \left[ 2 T_p n
-\right] \right)
-\end{align}
-%
-evaluated at the midpoint pressure level, and stored in the variable
-\src{bdotdh\_diff}. \\
-
-%
-The \src{subroutine bdzdvb} calculates the term $\left(b_z
-\frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot \mathbf{b}
-\right) G$, with the input into the subroutine $\nabla \cdot
-\mathbf{B}$, and $G = D_A \mathbf{b}\cdot \nabla_H \left[ 2 T_p
-n\right]$.
-%
-\begin{align}
-  T3(z + \frac{1}{2} \Delta z)) = & \frac{b_z}{2 H(z + \frac{1}{2} \Delta z) \delta z} \left\{  G(z + \frac{3}{2} \Delta z) -
-  G(z - \frac{1}{2} \Delta z)\right\} + \notag \\
-  {}& \nabla \cdot \mathbf{b}
-  G(z + \frac{1}{2} \Delta z) \label{eq:oplus_T3}
-\end{align}
-%
-At the upper and lower boundary the values are set to
-%
-\begin{align}
-  T3(z_{top} - \frac{1}{2} \Delta z)) = & \frac{b_z}{2 H(z_{top} -\frac{1}{2} \Delta z) \delta z} \left\{  G(z_{top} - \frac{1}{2} \Delta z) -
-  G(z_{top} - \frac{3}{2} \Delta z)\right\} + \notag \\
-  {}& \nabla \cdot \mathbf{b}
-  G(z_{top} - \frac{1}{2} \Delta z) \label{eq:oplus_T3top} \\
-  %
-  T3(z_{bot} + \frac{1}{2} \Delta z)) =& \frac{b_z}{2 H(z_{bot} +\frac{1}{2} \Delta z) \delta z}
-  \left\{  G(z_{bot} + \frac{3}{2} \Delta z) -
-  G(z_{bot} + \frac{1}{2} \Delta z)\right\} + \notag \\
-  {} & \nabla \cdot \mathbf{b}
-  G(z_{bot} + \frac{1}{2} \Delta z) \label{eq:oplus_T3bot}
-\end{align}
-%
-All the explicit terms are added together from eq.
-(\ref{eq:oplus_T1b}), (\ref{eq:oplus_T2}), and (\ref{eq:oplus_T3})
-which leads to
-%
-\begin{align}
-  T_{1,explicit} = & - D_A(z+\frac{1}{2} \Delta z) b_z ( \mathbf{b} \cdot \nabla_H ) \left[2 \frac{\partial T_p n}{H
- \partial Z} + \frac{m_{O^+}  g }{R^*} n \right] \notag \\
- {} & - \mathbf{b} \cdot \nabla_H \left( D_A \mathbf{b} \cdot \nabla_H
- \left[ 2 T_p n \right] \right)  \notag \\
- {} & - \left(b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
- \mathbf{b} \right) (D_A \mathbf{b}\cdot \nabla_H \left[ 2 T_p
- n\right]) \label{eq:oplus_exp1}
-\end{align}
-%
-In addition the term $(\mathbf{b}_H \cdot \nabla_H )(\mathbf{b}
-\cdot \mathbf{v}_{n,H})$ and $\left[ b^2 v_{ExB,H}\cdot \nabla
-(\frac{n}{B^2})\right]_H$ are treated as explicit terms which leads
-to
-%
-\begin{align}
- T_{2,explicit} = & T_{1,explicit} + \frac{1}{2 R_E}[
-   \frac{b_x}{\Delta \phi \cos \lambda} \left( \mathbf{b} \cdot \mathbf{v}_n
-   (\phi+\Delta \phi,\lambda) -\mathbf{b} \cdot \mathbf{v}_n
-   (\phi-\Delta \phi,\lambda) \right) + \notag \\
-   {}& v_{ExB,x}(z+\frac{1}{2}\Delta z) B^2(\phi,\lambda) \left(
-   \frac{n(\phi+\Delta \phi,\lambda)}{B^2(\phi+\Delta \phi,\lambda)} -
-   \frac{n(\phi-\Delta \phi,\lambda)}{B^2(\phi-\Delta
-   \phi,\lambda)}\right) \notag \\
-   {}& +\frac{1}{\Delta \lambda}( b_y \left( \mathbf{b} \cdot \mathbf{v}_n
-   (\phi,\lambda+ \Delta \lambda) -\mathbf{b} \cdot \mathbf{v}_n
-   (\phi,\lambda- \Delta \lambda) \right) + \notag \\
-   {}& v_{ExB,y}(z+\frac{1}{2}\Delta z) B^2(\phi,\lambda) \left(
-   \frac{n(\phi,\lambda+ \Delta \lambda)}{B^2(\phi,\lambda+ \Delta \lambda)} -
-   \frac{n(\phi,\lambda- \Delta \lambda)}{B^2(\phi,\lambda- \Delta \lambda)}\right)
-   )
-   ]
-   \label{eq:oplus_exp2}
-\end{align}
-%
-Afterwards the following values are set
-%
-\begin{align}
- \frac{\nabla \cdot \mathbf{b}}{b_z} \\
- \frac{1}{\Delta z H} \\
- T_p = \frac{1}{2}(T_e + T_i)
-\end{align}
-%
-at the midpoint pressure level and stored in the variables
-\src{dvb}, src{hdz}, and \src{tp} respectively. \\
-
-%
-The term $2 T_p \frac{1}{H \Delta z} \pm \frac{g m}{2 R^*}$ are
-determined
-%
-\begin{align}
-  S_p(z + \frac{3}{2} \Delta z) = 2 T_p(z + \frac{3}{2} \Delta z)
-       \frac{1}{H(z + \Delta z) \Delta z} + \frac{g m}{2 R^*} \label{eq:oplus_S_p}\\
-  S_m(z + \frac{3}{2} \Delta z) = 2 T_p(z + \frac{1}{2} \Delta z)
-       \frac{1}{H(z +  \Delta z) \Delta z} - \frac{g m}{2 R^*}\label{eq:oplus_S_m}
-\end{align}
-%
-and stored in the variable \src{tphdz1} for $S_p$ and  \src{tphdz0}
-for $S_m$ respectively. The lower boundaries are set by
-%
-\begin{align}
-  S_p(z_{bot} + \frac{1}{2} \Delta z) = & 2 T_p(z_{bot} + \frac{1}{2} \Delta
-  z) \notag \\
-     {} &  \left[\frac{1.5}{H(z_{bot} + \frac{1}{2}\Delta z) \Delta z}
-       - \frac{0.5}{H(z_{bot} + \frac{3}{2}\Delta z) \Delta z}
-       \right] + \frac{g m}{2 R^*} \label{eq:oplus_S_p_bot}\\
-  S_m(z_{bot} + \frac{1}{2} \Delta z) = & 2 \cdot \left[ 2 T_p(z_{bot} + \frac{1}{2} \Delta
-  z) - T_p(z_{bot} + \frac{3}{2} \Delta z)\right] \notag \\
-    {} & \left[\frac{1.5}{H(z_{bot} + \frac{1}{2}\Delta z) \Delta z}
-       - \frac{0.5}{H(z_{bot} + \frac{3}{2}\Delta z) \Delta z}
-       \right]   - \frac{g m}{2 R^*}\label{eq:oplus_S_m_bot}
-\end{align}
-%
-and stored in \src{tphdz1(lev0)} and \src{tphdz0(lev0)},
-respectively, with $lev0$ corresponding to $z_{bot} + \frac{1}{2}
-\Delta z$ on the midpoint pressure level. The upper boundary values
-are
-%
-\begin{align}
-  S_p(z_{top} + \frac{1}{2} \Delta z) = & 2 \cdot \left[ 2 T_p(z_{top} - \frac{1}{2} \Delta
-  z) - T_p(z_{top} - \frac{3}{2} \Delta z)\right] \notag \\
-    {} & \left[\frac{1.5}{H(z_{top} - \frac{1}{2}\Delta z) \Delta z}
-       - \frac{0.5}{H(z_{top} - \frac{3}{2}\Delta z) \Delta z}
-       \right]   + \frac{g m}{2 R^*} \label{eq:oplus_S_p_top}\\
-  S_m(z_{top} + \frac{1}{2} \Delta z) = & 2 T_p(z_{top} - \frac{1}{2} \Delta
-  z) \notag \\
-      {} &  \left[\frac{1.5}{H(z_{top} - \frac{1}{2}\Delta z) \Delta z}
-       - \frac{0.5}{H(z_{top} - \frac{3}{2}\Delta z) \Delta z}
-       \right] - \frac{g m}{2 R^*}\label{eq:oplus_S_m_top}
-\end{align}
-%
-and stored in \src{tphdz1(lev1)} and \src{tphdz0(lev1)},
-respectively, with the index $lev1 = nlev + 1$ corresponding to
-$z_{top} + \frac{1}{2} \Delta z$. \\
-
-%
-The diffusion coefficient $D_A$ are calculated at the interface
-pressure level $z, z+ \Delta z, ...$ by averaging
-%
-\begin{align}
-  D_A (z) = \frac{1}{2} \left( D_A(z+\frac{1}{2}\Delta z) + D_A(z-\frac{1}{2}\Delta z)\right)
-  \label{eq:oplus_daint}
-\end{align}
-%
-and stored in the variable \src{djint}. The upper and lower boundary
-values are determined by extrapolation
-%
-\begin{align}
-  D_A (z_{bot}) = \frac{1}{2} \left( 3 D_A(z_{bot}+\frac{1}{2}\Delta z) - D_A(z_{bot}+\frac{3}{2}\Delta
-  z)\right) \\
-  D_A (z_{top}) = \frac{1}{2} \left( 3 D_A(z_{top}-\frac{1}{2}\Delta z) - D_A(z_{top}-\frac{3}{2}\Delta z)\right)
-\end{align}
-%
-The term $T_4 = \frac{\nabla \cdot \mathbf{b}}{b_z} +
-\frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}$ is
-determined at the midpoint pressure level, and stored in the
-variable \src{divbz}
-%
-\begin{align}
-  T_4(z+\frac{1}{2}\Delta z) = & \frac{\nabla \cdot \mathbf{b}}{b_z}(\phi,\lambda) +
-  \frac{1}{R_E D_A(\phi,\lambda,z+\frac{1}{2}\Delta z) b_z^2}[
-  \notag \\
-  {} & \frac{b_x(\phi,\lambda)}{\cos \lambda} (\frac{D_A(\phi+\Delta \phi,\lambda,z+\frac{1}{2}\Delta z)
-  b_z(\phi+\Delta \phi,\lambda)}{2 \Delta \phi} - \notag \\
-  {} & \frac{D_A(\phi-\Delta \phi,\lambda,z+\frac{1}{2}\Delta z)
-  b_z(\phi-\Delta \phi,\lambda)}{2 \Delta \phi})+ \notag \\
-  {} & b_y(\phi,\lambda) (\frac{D_A(\phi,\lambda+\Delta \lambda,z+\frac{1}{2}\Delta z)
-  b_z(\phi,\lambda+\Delta \lambda)}{2 \Delta \lambda} - \notag \\
-  {} & \frac{D_A(\phi,\lambda-\Delta \lambda,z+\frac{1}{2}\Delta z)
-  b_z(\phi,\lambda-\Delta \lambda)}{2 \Delta \lambda})] \label{eq:oplus_T4}
-\end{align}
-%
-The periodic points for $T_4$ are set to zero. \\
-
-%
-The term $T_5= b_z^2(\frac{1}{H \Delta z} \pm \frac{1}{2}T_4)$ are
-calculated, with $T_4 = \frac{\nabla \cdot \mathbf{b}}{b_z} +
-\frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2} $, see
-above in eq.(\ref{eq:oplus_T4})
-%
-\begin{align}
-  T_{5p}(z+\frac{1}{2}\Delta z) = b_z^2\left[ \frac{1}{H \Delta z} +
-    \frac{1}{2} \left( \frac{\nabla \cdot \mathbf{b}}{b_z} +
-     \frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}(z+\frac{1}{2}\Delta z)\right)
-     \right] \label{eq:oplus_T_5p}\\
-  T_{5m}(z+\frac{1}{2}\Delta z) = b_z^2\left[ \frac{1}{H \Delta z} -
-    \frac{1}{2} \left( \frac{\nabla \cdot \mathbf{b}}{b_z} +
-     \frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}(z+\frac{1}{2}\Delta z)\right)
-     \right]  \label{eq:oplus_T_5m}
-\end{align}
-%
-and stored in the variables $hdzpbz$ and $hdzmdz$ respectively. \\
-
-%
-The smoothing of $n(O^+)^{t_n- \Delta t}$ is finished with a
-longitudinal smoothing. See eq. (\ref{eq:oplus_smolat}) for the
-latitudinal smoothing
-%
-\begin{align}
- n(O^+&)^{smo,t_n- \Delta t} =  n(O^+)^{smo\lambda,t_n- \Delta t} - f_{smo}[
- n(O^+)^{smo\lambda,t_n- \Delta t} (\phi+2\Delta \phi,\lambda) +
- \notag \\
- {} & n(O^+)^{smo\lambda,t_n- \Delta t}(\phi-2\Delta \phi,\lambda) - 4 (
- n(O^+)^{smo\lambda,t_n- \Delta t}(\phi+\Delta \phi,\lambda)+ \notag
- \\
- {} & n(O^+)^{smo\lambda,t_n- \Delta t}(\phi-\Delta \phi,\lambda)) + 6n(O^+)^{t_n- \Delta
- t}(\phi+\Delta \phi,\lambda)] \label{eq:oplus_smolon}
-\end{align}
-%
-with $f_{smo} = 0.003$. The smoothed number density is added to the
-explicit term $ T_{2,explicit} $
-%
-\begin{align}
-T_{3,explicit} = T_{2,explicit} - \frac{n(O^+)^{smo,t_n- \Delta
-t}}{2 \Delta t}  \label{eq:oplus_exp3}
-\end{align}
-%
-%
-The tridiagonal solver need the equation in the following form:
-%
-\begin{align}
-P(k,i) n^{t+\Delta t}(k-1,i) + & Q(k,i) n^{t+\Delta t}(k,i)+ \notag \\
- {} & R(k,i) n^{t+\Delta t}(k+1,i) = T_{explicit}(k,i)
-\end{align}
-%
-with the height index $k$ for $z+\frac{1}{2}\Delta z$, $k+1$ for
-$z+\frac{3}{2}\Delta z$, and $k-1$ for $z-\frac{1}{2}\Delta z$. The
-longitude index is denoted by $i$. Note that the equation is solved
-at each latitude $\lambda$ with the index $j$. \\
-
-%
-The fourth and sixth term of the $O^+$ transport equation
-eq.(\ref{eq:oplus_optrans}) are treated implicit with the fourth
-term being
-%
-\begin{align}
-\left[ (\mathbf{b}_h \cdot \nabla_h)
-  K b_z\right] \left[ \left( \frac{1}{H}\frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B}n\right)
-  \right] \notag
-\end{align}
-%
-and the sixth term
-%
-\begin{align}
-  \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
-  \mathbf{b} \right) K b_z \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B} n\right)
- \notag
-\end{align}
-%
-\begin{align}
-  P_1((z+\frac{1}{2}\Delta z),\phi) = & \;  T_{5m}(z+\frac{1}{2}\Delta z,\phi)D_A (z,\phi) S_m(z+\frac{1}{2}\Delta z,\phi)\\
-  Q_1((z+\frac{1}{2}\Delta z),\phi) = & \; -( T_{5p}(z+\frac{1}{2}\Delta z,\phi)D_A
-          (z+\Delta z,\phi) S_m(z+\frac{3}{2}\Delta z,\phi)
-   + \notag \\
-   {} & T_{5m}(z+\frac{1}{2}\Delta z,\phi)D_A (z,\phi) S_p(z+\frac{1}{2}\Delta z,\phi)) \\
-  R_1((z+\frac{1}{2}\Delta z),\phi) = & \; T_{5p}(z+\frac{1}{2}\Delta z,\phi)D_A (z+\Delta z,\phi) S_p(z+\frac{3}{2}\Delta z,\phi)
-\end{align}
-%
-for the terms please see equations
-(\ref{eq:oplus_S_m}),(\ref{eq:oplus_S_p}),
-(\ref{eq:oplus_daint}),(\ref{eq:oplus_T_5m}),and
-(\ref{eq:oplus_T_5p}). \\
-%
-The term $\mathbf{b} \cdot \mathbf{v}_n$ is determined
-%
-\begin{align}
-  T_6(z+\frac{1}{2}\Delta z) = &b_x u_n(z+\frac{1}{2}\Delta z) + b_y v_n(z+\frac{1}{2}\Delta z) + \notag \\
-    {} & H(z+\frac{1}{2}\Delta z) b_z W(z+\frac{1}{2}\Delta z)
-\end{align}
-%
-Note that the dimensionless vertical velocity $W$ is on the
-interface level $z, z+\Delta z, ...$ \\
-
-%
-Part of the seventh term in eq. (\ref{eq:oplus_optrans}) which is
-%
-\begin{align}
-  (b_z \frac{1}{H}\frac{\partial}{\partial Z})(\mathbf{b}\cdot
-  \mathbf{v}_n) \notag
-\end{align}
-%
-and the ninth term
-%
-\begin{align}
-  B^2 \mathbf{v}_{ExB,z} \frac{1}{H}
-  \frac{\partial}{\partial Z}
-  \left( \frac{n}{B^2}\right) \notag
-\end{align}
-%
-are treated implicit leading to ??? who is this done???
-%
-\begin{align}
-  P_2((z+\frac{1}{2}\Delta z),\phi) = & \;  P_1 + b_z \mathbf{b} \cdot
-          \mathbf{v}_n((z+\frac{1}{2}\Delta z),\phi) + \notag \\
-       {} & \mathbf{v}_{ExB,z}((z+\frac{3}{2}\Delta z),\phi) \frac{1}{2H(z+\frac{3}{2}\Delta z),\phi)\Delta z} \\
-  Q_2((z+\frac{1}{2}\Delta z),\phi) = & \; Q_1 - \mathbf{v}_{ExB,z}((z+\frac{1}{2}\Delta z),\phi)
-   \frac{6}{R_E} \\
-  R_2((z+\frac{1}{2}\Delta z),\phi) = & \; R_1 -
-       b_z mathbf{b} \cdot \mathbf{v}_n((z+\frac{3}{2}\Delta z),\phi) + \notag \\
-       {} & \mathbf{v}_{ExB,z}((z+\frac{1}{2}\Delta z),\phi) \frac{1}{2H(z+\frac{1}{2}\Delta z),\phi)\Delta z}
-\end{align}
-%
-The coefficients at the upper and lower boundary are set to
-%
-\begin{align}
-  P_2^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = & \;  P_2((z_{bot}+\frac{1}{2}\Delta z),\phi) +
-    b_z
-    [ 2 \mathbf{b} \cdot \mathbf{v}_n((z_{bot}+\frac{1}{2}\Delta
-    z),\phi) \notag \\
-    {} &- \mathbf{b} \cdot \mathbf{v}_n((z_{bot}+\frac{3}{2}\Delta z),\phi)
-    ]  \\
-     {} &  +
-       \mathbf{v}_{ExB,z}((z_{bot}+\frac{1}{2}\Delta z),\phi)
-       \frac{1}{2H(z_{bot}+\frac{1}{2}\Delta z),\phi)\Delta z} \notag \\
-%
-  Q_2^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; Q_2((z_{top}-\frac{1}{2}\Delta z),\phi)
-  \notag \\
-  {} & -
-    \mathbf{v}_{ExB,z}((z_{top}-\frac{1}{2}\Delta z),\phi)
-   \frac{6}{R_E} \\
-%
-  R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; R_2(z_{top}-\frac{1}{2}\Delta z),\phi)
-  -+??
-    b_z [ 2 \mathbf{b} \cdot \mathbf{v}_n((z_{top}-\frac{1}{2}\Delta
-    z),\phi) \notag \\
-    {}&-
-    \mathbf{b} \cdot \mathbf{v}_n((z_{top}-\frac{3}{2}\Delta z),\phi)
-    ] \\
-     {} &  +
-       \mathbf{v}_{ExB,z}((z_{top}-\frac{1}{2}\Delta z),\phi)
-       \frac{1}{2H(z_{top}-\frac{1}{2}\Delta z),\phi)\Delta z}
-       \notag
-\end{align}
-%
-We add the other part of the seventh term in the transport equation
-(\ref{eq:oplus_optrans})?? check $b_z$ where does it come from???
-%
-\begin{align}
-\left(\nabla \cdot
-  \mathbf{b} \right)(\mathbf{b}\cdot{v}_n n) \notag
-\end{align}
-%
-and the time derivative of the number density of $n(O^+)$ to the
-Q--coefficient
-%
-\begin{align}
- Q_3((z+\frac{1}{2}\Delta z),\phi) = & \; Q_2 - (b_z \nabla \cdot
- \mathbf{b}(\phi))
- (\mathbf{b} \cdot \mathbf{v}_n((z+\frac{1}{2}\Delta z),\phi)) -
- \frac{1}{2 \Delta t}
-\end{align}
-%
-The upper boundary condition is defined by
-%
-\begin{align}
-  -b_z^2 D_a\left( T_p \frac{\partial}{H \partial Z} +
-  \frac{mg}{R^*}\right) n = F^{O^+}
-\end{align}
-%
-with $F^{O^+} $ the flux of $O^+$ from and to the plasmasphere,
-which was defined in eq. (\ref{eq:oplus_flux1}) and
-(\ref{eq:oplus_flux2}).
-%
-\begin{align}
-  B = & -b_z^2 D_a(z_{top}) S_m(z_{top}+\frac{1}{2}\Delta z) \\
-  A = & -b_z^2 D_a(z_{top}) S_p(z_{top}+\frac{1}{2}\Delta z)
-\end{align}
-%
-with $S_m= 2 T_p \frac{\partial}{H \partial Z} +
-  \frac{mg}{R^*}$ from eq. (\ref{eq:oplus_S_m_top}) leading to
-%
-\begin{align}
- Q_3^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; Q_3((z_{top}-\frac{1}{2}\Delta z),\phi)
- + \frac{B}{A} R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi)
-\end{align}
-%
-and for the right hand side
-%
-\begin{align}
-  T_{3,explicit}^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & T_{3,explicit}((z_{top}-\frac{1}{2}\Delta
-  z),\phi) - \notag \\
-  {} &  F^{O^+}  R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi)
-  \frac{1}{A}
-\end{align}
-%
-The source and sink terms are calculated
-%
-\begin{align}
-  n(XI & O^+(^2P)) =  \frac{1}{2}\left( Q(O^+(^2P))(z) + Q(O^+(^2P))(z+\frac{1}{2} \Delta
-  z)\right) \notag \\
-  {} & \frac{1}{(k_{16} + k_{17})n(N_2) + k_{18} n(O) + (k_{19}+k_{20})N_e(z??) +
-  k_{21}+k_{22}} \\
-  n(XI & O^+(^2D)) =  \frac{1}{2}\left( Q(O^+(^2D))(z) + Q(O^+(^2D))(z+\frac{1}{2} \Delta
-  z)\right) + \notag \\
-  {} & \frac{(k_{20} N_e(z??)+ k_{22})n(XI
-  O^+(^2P))}{k_{23}n(N_2)+k_{24}n(O)+k_{26}n(O_2)} \\
-  L^{O^+} = & k_1 n(O_2) + k_2 n(N_2) + k_{10 n(N(^2D))}
-\end{align}
-%
-The loss term $L^{O^+}$ is added to the left hand side
-%
-\begin{align}
-  Q_4((z+\frac{1}{2}\Delta z),\phi) = Q_3((z+\frac{1}{2}\Delta
-  z),\phi) -L^{O^+}
-\end{align}
-%
-The right hand side is updated by
-%
-\begin{align}
- T_{4,explicit}((z+\frac{1}{2}\Delta z),\phi)= &
-  T_{3,explicit}((z+\frac{1}{2}\Delta z),\phi) - Q(O^+)- \notag \\
-  {} & (k_{19} N_e(z) + k_{21})n(XI O^+(^2P)) - \notag \\
-  {} & (k_{25} N_e(z) + k_{27})n(XI O^+(^2D)) - \notag \\
-  {} &  (k_{18}n(XI O^+(^2P)) + k_{24}n(XI O^+(^2D)))n(O)
-\end{align}
-%
-The lower boundary condition is specified by photochemical
-equilibrium $n = \frac{Q}{L}$ leading to
-%
-\begin{align}
-  {} & Q_4^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = Q_4((z_{bot}+\frac{1}{2}\Delta
-    z),\phi) - P_2((z_{bot}+\frac{1}{2}\Delta z),\phi) \\
-  {} & T_{4,explicit}^*((z_{bot}+\frac{1}{2}\Delta z),\phi)= T_{4,explicit}((z_{bot}+\frac{1}{2}\Delta
-    z),\phi) - \notag \\
-    {} & \; \; \; \; 2 P_2((z_{bot}+\frac{1}{2}\Delta
-    z),\phi)\frac{Q(O^+)}{1.5 L^{O^+}(z_{bot}+\frac{1}{2}\Delta z)-
-     0.5 L^{O^+}(z_{bot}+\frac{3}{2}\Delta
-    z)} \\
-  {} & P_2^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = 0
-\end{align}
-%
-%
-Solving for the number density of $O^+$ at each latitude leads to
-the updated number densities $n(O^+)^{upd, t_n+\Delta t}$ at the
-midpoints. The calculated values for the number density of
-$n(O^+)^{upd, t + \Delta t}$ are smoothed by a Fast Fourier
-transformation leading to $n(O^+)_{smo}^{upd,t+\Delta t}$. All the
-wave numbers larger than a predefined value at each latitude are
-removed. The wave numbers are defined in the module \src{cons.F}???.
-The values of the number densities at the timestep $t_n$ are also
-updated by using
-%
-\begin{align}
-  n(O^+)^{upd,t} = \frac{1}{2}({1-c_{smo}})(n(O^+)^{t-\Delta t}+
-     n(O^+)_{smo}^{upd,t+\Delta t}) + c_{smo}n(O^+)^{t_n}
-\end{align}
-%
-with $c_{smo} = 0.95$ The upper boundary values are set to zero
-%
-\begin{align}
- n(O^+)^{upd,t_n}(z_{top}-\frac{1}{2}\Delta z) = 0 \\
- n(O^+)_{smo}^{upd,t_n}(z_{top}-\frac{1}{2}\Delta z) = 0
-\end{align}
-%
-and the number density is set such that it has a minimum value of
-$1\cdot 10^{-5}$.
-%
-\begin{align}
- n(O^+)^{upd,t_n}(z+\frac{1}{2}\Delta z) \geq  1\cdot 10^{-5}\\
- n(O^+)_{smo}^{upd,t_n}(z+\frac{1}{2}\Delta z) \geq 1\cdot 10^{-5}
-\end{align}
-%
+%
+\section{Calculation of $O^+$ number density  
+  \index{OPLUS.F}}\label{cap:oplus}
+%
+The input to \src{subroutine oplus} is summarized in table
+\ref{tab:input_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+neutral temperature &       $T_n$              & $K$   &  midpoints & $t_n$\\
+neutral zonal velocity&     $u_n$     & $cm/s$   &  midpoints & $t_n$\\
+neutral meridional velocity & $v_n$   & $cm/s$   &  midpoints & $t_n$\\
+dimenionsless vertical velocity& $W^{t+\Delta t}$& $1/s$   & interfaces& $t+\Delta t$ \\
+mass mixing ratio $O_2$&       {$\Psi_{O_2}$}     & $-$   & midpoints  & $t_n$\\
+mass mixing ratio $O$&       {$\Psi_{O}$}     & $-$   &  midpoints & $t_n$\\
+mean molecular mass&       {$\overline{m}$}     & $g/mol$   & interfaces  &$t_n + \Delta t$ \\
+electron temperature &       $T_e$              & $K$   &  midpoints & $t_n$\\
+ion temperature &       $T_i$              & $K$   &  midpoints & $t_n$\\
+electron density &       $N_e$              & $\#/cm^3$   &  interfaces & $t_n$\\
+number density of $N_2(D)??$ &       $n(N_2(D))??$              & $\#/cm^3$   &  midpoints & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,x}$              & $cm/s$   &  interface & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,y}$              & $cm/s$   &  interfaces & $t_n$\\
+electrodynamic drift velocity &       $v_{ExB,z}$              & $cm/s$   &  interfaces & $t_n$\\
+conversion factor $mmr$ to $\#/cm^3$ &       $N\overline{m}$              & $\frac{\# g}{cm^3 mole}$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{t_n- \Delta t}$ & $\#/cm^3$
+&  midpoints??? & $t_n- \Delta t$
+  \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine oplus}}
+\label{tab:input_oplus}
+\end{table}
+%
+The output of \src{subroutine oplus} is summarized in table
+\ref{tab:output_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline
+number density of $O^+$ &       $n(O^+)^{upd,t_n}$              & $\#/cm^3$   &  midpoints??? & $t_n$\\
+number density of $O^+$ &       $n(O^+)^{upd,t_n+ \Delta t}$ &
+$\#/cm^3$   &  midpoints??? & $t_n+ \Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine oplus}}
+\label{tab:output_oplus}
+\end{table}
+%
+%
+The module data of \src{subroutine oplus} is summarized in table
+\ref{tab:module_oplus}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline heating from solar radiation ???&
+{$Q(^2P)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+heating from solar radiation &
+{$Q(O^+(^2D))$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+heating from solar radiation ????&
+{$Q(O^+)$}     & $\frac{erg}{K \; s}???$   & interfaces  & $t_n$ \\
+chemical reaction rates &
+{$k_i$}     & $??$   & -  & $-???$ \\
+\\ \hline \hline
+\end{tabular}
+\caption{Module data of \src{subroutine oplus}}
+\label{tab:module_oplus}
+\end{table}
+%
+Most major species are in photochemical equilibrium below $1000 km$,
+and can be simply calculated by balancing the production and loss
+rates. However,  $O^+$ is determined by considering diffusion, along
+the magnetic field line and the $\mathbf{E} \times \mathbf{B}$
+transport. In the following for simplicity the variable $n$ is used
+for the $O^+$ number density $n(O^+)$.
+%
+\begin{align}
+  \frac{\partial n}{\partial t} -Q + L n = - \nabla \cdot (n
+  \mathbf{v}_i) \label{eq:oplus_simple}
+\end{align}
+%
+with $n$ the $O^+$ number density, $Q$ the production rate of $O^+$,
+$L$ the loss rate of $O^+$. The right hand side is the transport due
+$\mathbf{E} \times \mathbf{B}$ drift and the field aligned ambipolar
+diffusion. The ion velocity $\mathbf{v}_i$ is given by
+%
+\begin{align}
+  \mathbf{v}_i = \mathbf{v}_{i,\parallel} + \mathbf{v}_{i,\perp}
+\end{align}
+%
+with the parallel and perpendicular velocity with respect to the
+geomagnetic field
+%
+\begin{align}
+  \mathbf{v}_{i,\parallel} = & \left[ \mathbf{b} \cdot \frac{1}{\nu_{in}} \left( \mathbf{g}
+     - \frac{1}{\rho_i} \nabla (P_i + P_e)\right)+ \mathbf{b} \cdot
+     \mathbf{v}_n\right] \mathbf{b} \label{eq:oplus_v_parall}\\
+ \mathbf{v}_{i,\perp} = & \frac{\mathbf{E} \times \mathbf{B}}{|B|} \label{eq:oplus_v_perp}
+\end{align}
+%
+The parallel velocity is caused by ambipolar diffusion and the
+perpendicular velocity by $\mathbf{E} \times \mathbf{B}$ drift
+velocity. The unit vector along the geomagnetic field line is
+$\mathbf{b}$, $\nu_{in}$ is the $O^+$ ion-neutral collision
+frequency, $\mathbf{g}$ the gravitational acceleration due to
+gravity, $\rho_i$ is the ion mass density, $P_i$ and $P_e$ are the
+ion and electron pressure, $\mathbf{v}_n$ is the neutral velocity,
+$|B|$ is the geomagnetic field strength, and $\mathbf{E}$ is the
+electric field. \\
+Inserting the parallel (\ref{eq:oplus_v_parall}) and perpendicular
+(\ref{eq:oplus_v_perp}) velocity into the $O^+$ transport equation
+(\ref{eq:oplus_simple}) leads to
+%
+\begin{align}
+  {}& \frac{\partial n}{\partial t} - Q + Ln + \left[ (\mathbf{b}_h \cdot \nabla_h)
+  K b_z\right] \left[ \left( \frac{1}{H}\frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B}n\right)
+  \right] \notag \\
+  {}& - (\mathbf{b}_h \cdot \nabla_h)(\mathbf{b}\cdot{v}_n n) +
+  \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
+  \mathbf{b} \right) K b_z \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B} n\right)
+   - \notag \\
+  {}& \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
+  \mathbf{b} \right)(\mathbf{b}\cdot{v}_n n) - \left[ B^2 \mathbf{v}_{ExB,h} \cdot
+  \nabla \left( \frac{n}{B^2}\right)\right]_H - \notag \\
+  {}& B^2 \mathbf{v}_{ExB,z} \frac{1}{H} \frac{\partial}{\partial Z}
+  \left( \frac{n}{B^2}\right) + \left( \mathbf{b}_H\cdot \nabla_H
+  \right) K \left( \mathbf{b}_H\cdot \nabla_H \right) (2 n T_p) + \notag \\
+  {}& K b_z \left( \mathbf{b}_H\cdot \nabla_H \right) \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) +
+   \frac{m g}{k_B}n \right)  + \notag \\
+   {}& \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot \mathbf{b}\right)
+   K \left( \mathbf{b}_H \cdot \nabla_H (2 n T_p)\right) = 0 \label{eq:oplus_optrans}
+\end{align}
+%
+where the ambipolar diffusion coefficient is $K = D_A + K_E$ with
+$K_E$ the eddy diffusion coefficient in the lower thermosphere, and
+$D_A$ the molecular diffusion coefficient. The geomagnetic unit
+vector, the horizontal vector and vertical component are
+$\mathbf{b}$, $\mathbf{b}_H$ and $b_z$ respectively. The scale
+height is denoted by $H$, $ \mathbf{v}_{ExB,h}$ is the horizontal
+drift vector, and $\mathbf{v}_{ExB,z}$ the vertical component. The
+horizontal derivative of $\nabla$ is $\nabla_H$. The plasma
+pressure is $T_p = \frac{1}{2}(T_e + T_i)$. \\
+%
+The fourth, eleventh, and sixth term are the contributions of the
+vertical component of ambipolar diffusion to the plasma transport
+due to respectively, the horizontal variation of the diffusion
+coefficient and $b_z$, the horizontal variation of the vertical
+ambipolar diffusion, and the vertical variation of the vertical
+ambipolar diffusion. The tenth term is the contribution of the
+horizontal component of the ambipolar diffusion due to variations in
+the vertical and horizontal direction. The fifth and seventh term
+are the neutral wind effects on the $O^+$ distribution, and the
+eight and ninth terms are the effects of the $\mathbf{E} \times
+\mathbf{B}$ transport. \\
+
+%
+The flux at the upper boundary is determined in the \src{subroutine
+oplus\_flux}. The transport from and to the plasmasphere is
+specified by the flux $\Phi$. The latitudinal variation of the flux
+is specified by the factor $A$
+%
+\begin{align}
+  A = & 1 & \;\;\; \text{for} & |\lambda_m| \geq \frac{\Pi}{24} \notag \\
+  A = & \frac{1}{2} \left( 1 + \sin{ \Pi \frac{|\lambda_m| -
+ \frac{\Pi}{48}}{\Pi/24}} \right) \;\;\; & \text{for} & |\lambda_m| <
+\frac{\Pi}{24}
+\end{align}
+%
+with $A \geq 0.05$, and $\lambda_m$ the geomagnetic latitude. 
+The daytime flux is $\Phi_D^o$ and upward, and
+the nighttime flux $\Phi_N^o$ which is downward
+%
+\begin{align}
+ \Phi_D^o = 2 \cdot 10^8 \notag \\
+ \Phi_N^o = - 2 \cdot 10^8
+\end{align}
+%
+and the flux variation during the day-- and nighttime is given by
+%
+\begin{align}
+ F_{eD} = & \Phi_D^o A \notag \\
+ F_{eN} = & \Phi_N^o A
+ \end{align}
+%
+The solar zenith angle $\psi$ determines which flux $F^{O^+}$ is
+used
+%
+\begin{align}
+  F^{O^+} = F_{eN} \;\;\; \text{for} \; \; \; \psi \geq 80^o \notag \\
+  F^{O^+} = F_{eD} \;\;\; \text{for} \; \; \; \psi < 100^o \label{eq:oplus_flux1}
+\end{align}
+%
+with
+%
+\begin{align}
+  F^{O^+} = \frac{1}{2} [F_{eD} + F_{eN}] + \frac{1}{2} [F_{eD} -
+  F_{eN}]\cos (\Pi \frac{\psi-80}{20})\;\;\; \text{for} \; \; \; 80^o < \psi < 100^o \label{eq:oplus_flux2}
+\end{align}
+%
+The divergence of the geomagnetic field vector $\mathbf{b}$ is
+determined in \src{subroutine divb}. Since variation in height of
+the geomagnetic field is neglected the divergence also varies only
+with latitude and longitude.
+%
+\begin{align}
+ \nabla \cdot \mathbf{b} = &  \frac{b_x (\phi + \Delta \phi, \lambda) -
+     b_x(\phi - \Delta \phi, \lambda)}{2 \Delta \phi R_E \cos
+     \lambda} + \notag \\
+     {} & \frac{\cos{\lambda+\Delta \lambda}b_y (\phi, \lambda+ \Delta \lambda) -
+     \cos{\lambda-\Delta \lambda}b_y(\phi, \lambda- \Delta \lambda)}{2 \Delta \lambda R_E \cos
+     \lambda} + \notag \\
+     {} & \frac{2 b_z(\phi,\lambda)}{R_E}
+\end{align}
+%
+with $b_y$ the northward, $b_x$ the eastward, and $b_z$ the upward
+component of the unit geomagnetic field vector
+$\frac{\mathbf{B}}{|B|}$. The divergence is stored in the value \src{dvb}.\\
+
+%
+In the first latitudinal scan the plasma pressure is determined at
+$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
+\lambda$, e.g. at $\lambda$
+%
+\begin{align}
+  T_p(\phi,\lambda, z+\frac{1}{2}\Delta z) = \frac{1}{2} (T_i + T_e)
+\end{align}
+%
+The values in the code are stored in the variable \src{tpj}. \\
+
+%
+In \src{subroutine rrk} the diffusion coefficient are determined.
+The values are stored in the variable \src{dj} in the source code at
+$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
+\lambda$.
+%
+\begin{align}
+  D_A = \frac{1.42 \cdot 10^{17} k_B T_n}
+  {p \overline{m}\left[
+    \frac{\Psi_O}{m_O} \sqrt{T_p}(1-0.064 log_{10} T_p)^2 C_f + 18.6 \frac{\Psi_{N_2}}{m_{N_2}}
+    + 18.1 \frac{\Psi_{O_2}}{m_{O_2}}\right]}
+\end{align}
+%
+with the pressure $p(z + \frac{1}{2}\Delta ) = p_0 e^{-z -
+\frac{1}{2}\Delta z}$, the number density of $N_2$ is $\Psi_{N_2}= 1
+- \Psi_{O_2}-\Psi_O$, the factor is $C_f = 1.5$, and $N = \frac{p_0
+e^{-z - \frac{1}{2}\Delta z}}{k_B T_n}$. The value $D_A$ is
+determined at half pressure levels e.g. $z + \frac{1}{2} \Delta z$.
+%
+The variable \src{tpj} holds $2 T_p$ at the midpoint pressure level
+$z + \frac{1}{2} \Delta z$ and at the latitudes $\lambda - \Delta
+\lambda$, $\lambda$ and , $\lambda + \Delta \lambda$. The scale
+height is also determined at the midpoint pressure level, and the
+latitudes $\lambda - \Delta \lambda$, $\lambda$ and , $\lambda +
+\Delta \lambda$.
+%
+\begin{align}
+  H = \frac{R^* T_n}{\overline{m} g}
+\end{align}
+%
+The scale height is stored in the variable \src{hj}. The dot product
+$\mathbf{b} \cdot \mathbf{v}_n n$ is stored in \src{bvel} and
+calculated also on the midpoint pressure level, and the latitudes
+$\lambda - \Delta \lambda$, $\lambda$ and , $\lambda + \Delta
+\lambda$.
+%
+\begin{align}
+   \mathbf{b} \cdot \mathbf{v}_n n = \left[  b_x u_n + b_y v_n + b_z
+      \frac{W(z) + W(z+\frac{1}{2} \Delta z)}{2} H(z+\frac{1}{2} \Delta
+      z)\right]n
+\end{align}
+%
+In \src{subroutine diffus} the term $ \left[2 \frac{\partial T_p
+n}{H
+\partial Z} + \frac{m_{O^+}  g}{R^*}n \right] $ at the midpoint
+pressure level is determined
+%
+\begin{align}
+ F(z+\frac{1}{2}\Delta z) =  & \frac{1}{2 H(z+\frac{1}{2}\Delta z) \Delta z}[2 T_p(z+\frac{3}{2}\Delta
+ z)n(z+\frac{3}{2}\Delta z) - \notag \\
+ {} & 2 T_p(z-\frac{1}{2}\Delta z)n(z-\frac{1}{2}\Delta z)
+ ] + \frac{m_{O^+}  g}{R^*}  n(z+\frac{1}{2}\Delta z)
+ \label{eq:oplus_F}
+\end{align}
+%
+The term is stored in the variable \src{diffj}. The upper and lower
+boundary values are set by
+%
+\begin{align}
+ F(z_{bot}+\frac{1}{2}\Delta z) = & \frac{1}{ H(z_{bot}+\frac{1}{2}\Delta z) \Delta z} [2 T_p(z_{bot}+\frac{3}{2}\Delta
+ z)n(z_{bot}+\frac{3}{2}\Delta z) - \\
+ {} & 2 T_p(z_{bot}+\frac{1}{2}\Delta z)n(z_{bot}+\frac{1}{2}\Delta z)
+ ] + \frac{m_{O^+}  g}{R^*}  n(z_{bot}+\frac{1}{2}\Delta z) \notag \\
+%
+ F(z_{top}-\frac{1}{2}\Delta z) = & \frac{1}{ H(z_{top}-\frac{1}{2}\Delta z) \Delta z} [2 T_p(z_{top}-\frac{1}{2}\Delta
+ z)n(z_{top}-\frac{1}{2}\Delta z) -  \\
+ {}& 2 T_p(z_{top}-\frac{3}{2}\Delta z)n(z_{top}-\frac{3}{2}\Delta z)
+ ] + \frac{m_{O^+}  g}{R^*}  n(z_{top}-\frac{1}{2}\Delta z) \notag
+\end{align}
+%
+The value $2 n T_p$ is determined at midpoint level, and the
+latitudes $\lambda - \Delta \lambda$, $\lambda$ and , $\lambda +
+\Delta \lambda$. The value overwrites the variable \src{tpj}. The
+latitudinal smoothed value of $n(O^+)^{t_n- \Delta t}$ are
+determined by
+%
+\begin{align}
+ n(O^+)^{smo\lambda,t_n- \Delta t} = & n(O^+)^{t_n- \Delta t} - f_{smo}[
+ n(O^+)^{t_n- \Delta t} (\lambda+ 2 \Delta \lambda) + \notag \\
+ {} & n(O^+)^{t_n- \Delta t}(\lambda- 2 \Delta \lambda) - 4 (
+ n(O^+)^{t_n- \Delta t}(\lambda+  \Delta \lambda)+ \notag \\
+ {} & n(O^+)^{t_n- \Delta t}(\lambda- \Delta \lambda)) + 6n(O^+)^{t_n- \Delta
+ t}(\lambda)] \label{eq:oplus_smolat}
+\end{align}
+%
+and stored in \src{optm1\_smooth}, and $f_{smo} = 0.003$. \\
+
+%
+The second latitudinal scan starts with calculating the value of
+$\mathbf{b} \cdot \nabla_H$ in \src{subroutine bdotdh} at the
+midpoint level. The output variable is \src{bdotdh\_op}. The input
+is the term from eq. (\ref{eq:oplus_F}) $F = \left[2  \frac{\partial
+T_p n}{H
+\partial Z} + \frac{m_{O^+}  g}{R^*} n \right] $, which leads to
+$( \mathbf{b} \cdot \nabla_H ) \left[2  \frac{\partial T_p n}{H
+\partial Z} + \frac{m_{O^+}  g n}{R^*} \right] $
+%
+\begin{align}
+  T1 = & \frac{1}{R_E} [ \frac{b_x}{2 \Delta \phi  \cos \lambda }
+  \left\{
+   F(\phi+ \Delta \phi, \lambda) - F(\phi- \Delta \phi, \lambda)\right\}
+   + \notag \\
+   {} & b_y \frac{F(\phi, \lambda+ \Delta \lambda) -
+   F(\phi, \lambda- \Delta \lambda)}{2 \Delta \lambda}]
+   \label{eq:oplus_T1}
+\end{align}
+%
+The term is multiplied by the diffusion coefficient $D_A$ from
+\src{subroutine rrk}, which leads to
+%
+\begin{align}
+  D_A(z+\frac{1}{2} \Delta z) b_z ( \mathbf{b} \cdot \nabla_H ) \left[2 \frac{\partial T_p n}{H
+\partial Z} + \frac{m_{O^+}  g }{R^*} n \right] \label{eq:oplus_T1b}
+\end{align}
+%
+The same \src{subroutine bdotdh} is used to calculate $\mathbf{b}
+\cdot \nabla_H \left[ 2 T_p n \right]$. Using eq.
+(\ref{eq:oplus_T1}) with $F = 2 T_p n$. The values are determined at
+the midpoint pressure level, and at the latitudes $\lambda - \Delta
+\lambda$, $\lambda$ and , $\lambda + \Delta \lambda$. Afterwards the
+value is multiplied by
+%
+\begin{align}
+  D_A(z+\frac{1}{2} \Delta z) \mathbf{b} \cdot \nabla_H \left[ 2 T_p n \right]
+  \label{eq:oplus_T2}
+\end{align}
+%
+and stored in the variable \src{bdotdh\_opj}. \\
+
+%
+The third latitudinal scan starts with calling the \src{subroutine
+bdotdh} for the term in eq. (\ref{eq:oplus_T2}) $F= D_A \mathbf{b}
+\cdot \nabla_H \left[ 2 T_p n \right]$, which leads to (see eq.
+(\ref{eq:oplus_T1}))
+%
+\begin{align}
+  \mathbf{b}
+\cdot \nabla_H \left( D_A \mathbf{b} \cdot \nabla_H \left[ 2 T_p n
+\right] \right)
+\end{align}
+%
+evaluated at the midpoint pressure level, and stored in the variable
+\src{bdotdh\_diff}. \\
+
+%
+The \src{subroutine bdzdvb} calculates the term $\left(b_z
+\frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot \mathbf{b}
+\right) G$, with the input into the subroutine $\nabla \cdot
+\mathbf{B}$, and $G = D_A \mathbf{b}\cdot \nabla_H \left[ 2 T_p
+n\right]$.
+%
+\begin{align}
+  T3(z + \frac{1}{2} \Delta z)) = & \frac{b_z}{2 H(z + \frac{1}{2} \Delta z) \delta z} \left\{  G(z + \frac{3}{2} \Delta z) -
+  G(z - \frac{1}{2} \Delta z)\right\} + \notag \\
+  {}& \nabla \cdot \mathbf{b}
+  G(z + \frac{1}{2} \Delta z) \label{eq:oplus_T3}
+\end{align}
+%
+At the upper and lower boundary the values are set to
+%
+\begin{align}
+  T3(z_{top} - \frac{1}{2} \Delta z)) = & \frac{b_z}{2 H(z_{top} -\frac{1}{2} \Delta z) \delta z} \left\{  G(z_{top} - \frac{1}{2} \Delta z) -
+  G(z_{top} - \frac{3}{2} \Delta z)\right\} + \notag \\
+  {}& \nabla \cdot \mathbf{b}
+  G(z_{top} - \frac{1}{2} \Delta z) \label{eq:oplus_T3top} \\
+  %
+  T3(z_{bot} + \frac{1}{2} \Delta z)) =& \frac{b_z}{2 H(z_{bot} +\frac{1}{2} \Delta z) \delta z}
+  \left\{  G(z_{bot} + \frac{3}{2} \Delta z) -
+  G(z_{bot} + \frac{1}{2} \Delta z)\right\} + \notag \\
+  {} & \nabla \cdot \mathbf{b}
+  G(z_{bot} + \frac{1}{2} \Delta z) \label{eq:oplus_T3bot}
+\end{align}
+%
+All the explicit terms are added together from eq.
+(\ref{eq:oplus_T1b}), (\ref{eq:oplus_T2}), and (\ref{eq:oplus_T3})
+which leads to
+%
+\begin{align}
+  T_{1,explicit} = & - D_A(z+\frac{1}{2} \Delta z) b_z ( \mathbf{b} \cdot \nabla_H ) \left[2 \frac{\partial T_p n}{H
+ \partial Z} + \frac{m_{O^+}  g }{R^*} n \right] \notag \\
+ {} & - \mathbf{b} \cdot \nabla_H \left( D_A \mathbf{b} \cdot \nabla_H
+ \left[ 2 T_p n \right] \right)  \notag \\
+ {} & - \left(b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
+ \mathbf{b} \right) (D_A \mathbf{b}\cdot \nabla_H \left[ 2 T_p
+ n\right]) \label{eq:oplus_exp1}
+\end{align}
+%
+In addition the term $(\mathbf{b}_H \cdot \nabla_H )(\mathbf{b}
+\cdot \mathbf{v}_{n,H})$ and $\left[ b^2 v_{ExB,H}\cdot \nabla
+(\frac{n}{B^2})\right]_H$ are treated as explicit terms which leads
+to
+%
+\begin{align}
+ T_{2,explicit} = & T_{1,explicit} + \frac{1}{2 R_E}[
+   \frac{b_x}{\Delta \phi \cos \lambda} \left( \mathbf{b} \cdot \mathbf{v}_n
+   (\phi+\Delta \phi,\lambda) -\mathbf{b} \cdot \mathbf{v}_n
+   (\phi-\Delta \phi,\lambda) \right) + \notag \\
+   {}& v_{ExB,x}(z+\frac{1}{2}\Delta z) B^2(\phi,\lambda) \left(
+   \frac{n(\phi+\Delta \phi,\lambda)}{B^2(\phi+\Delta \phi,\lambda)} -
+   \frac{n(\phi-\Delta \phi,\lambda)}{B^2(\phi-\Delta
+   \phi,\lambda)}\right) \notag \\
+   {}& +\frac{1}{\Delta \lambda}( b_y \left( \mathbf{b} \cdot \mathbf{v}_n
+   (\phi,\lambda+ \Delta \lambda) -\mathbf{b} \cdot \mathbf{v}_n
+   (\phi,\lambda- \Delta \lambda) \right) + \notag \\
+   {}& v_{ExB,y}(z+\frac{1}{2}\Delta z) B^2(\phi,\lambda) \left(
+   \frac{n(\phi,\lambda+ \Delta \lambda)}{B^2(\phi,\lambda+ \Delta \lambda)} -
+   \frac{n(\phi,\lambda- \Delta \lambda)}{B^2(\phi,\lambda- \Delta \lambda)}\right)
+   )
+   ]
+   \label{eq:oplus_exp2}
+\end{align}
+%
+Afterwards the following values are set
+%
+\begin{align}
+ \frac{\nabla \cdot \mathbf{b}}{b_z} \\
+ \frac{1}{\Delta z H} \\
+ T_p = \frac{1}{2}(T_e + T_i)
+\end{align}
+%
+at the midpoint pressure level and stored in the variables
+\src{dvb}, src{hdz}, and \src{tp} respectively. \\
+
+%
+The term $2 T_p \frac{1}{H \Delta z} \pm \frac{g m}{2 R^*}$ are
+determined
+%
+\begin{align}
+  S_p(z + \frac{3}{2} \Delta z) = 2 T_p(z + \frac{3}{2} \Delta z)
+       \frac{1}{H(z + \Delta z) \Delta z} + \frac{g m}{2 R^*} \label{eq:oplus_S_p}\\
+  S_m(z + \frac{3}{2} \Delta z) = 2 T_p(z + \frac{1}{2} \Delta z)
+       \frac{1}{H(z +  \Delta z) \Delta z} - \frac{g m}{2 R^*}\label{eq:oplus_S_m}
+\end{align}
+%
+and stored in the variable \src{tphdz1} for $S_p$ and  \src{tphdz0}
+for $S_m$ respectively. The lower boundaries are set by
+%
+\begin{align}
+  S_p(z_{bot} + \frac{1}{2} \Delta z) = & 2 T_p(z_{bot} + \frac{1}{2} \Delta
+  z) \notag \\
+     {} &  \left[\frac{1.5}{H(z_{bot} + \frac{1}{2}\Delta z) \Delta z}
+       - \frac{0.5}{H(z_{bot} + \frac{3}{2}\Delta z) \Delta z}
+       \right] + \frac{g m}{2 R^*} \label{eq:oplus_S_p_bot}\\
+  S_m(z_{bot} + \frac{1}{2} \Delta z) = & 2 \cdot \left[ 2 T_p(z_{bot} + \frac{1}{2} \Delta
+  z) - T_p(z_{bot} + \frac{3}{2} \Delta z)\right] \notag \\
+    {} & \left[\frac{1.5}{H(z_{bot} + \frac{1}{2}\Delta z) \Delta z}
+       - \frac{0.5}{H(z_{bot} + \frac{3}{2}\Delta z) \Delta z}
+       \right]   - \frac{g m}{2 R^*}\label{eq:oplus_S_m_bot}
+\end{align}
+%
+and stored in \src{tphdz1(lev0)} and \src{tphdz0(lev0)},
+respectively, with $lev0$ corresponding to $z_{bot} + \frac{1}{2}
+\Delta z$ on the midpoint pressure level. The upper boundary values
+are
+%
+\begin{align}
+  S_p(z_{top} + \frac{1}{2} \Delta z) = & 2 \cdot \left[ 2 T_p(z_{top} - \frac{1}{2} \Delta
+  z) - T_p(z_{top} - \frac{3}{2} \Delta z)\right] \notag \\
+    {} & \left[\frac{1.5}{H(z_{top} - \frac{1}{2}\Delta z) \Delta z}
+       - \frac{0.5}{H(z_{top} - \frac{3}{2}\Delta z) \Delta z}
+       \right]   + \frac{g m}{2 R^*} \label{eq:oplus_S_p_top}\\
+  S_m(z_{top} + \frac{1}{2} \Delta z) = & 2 T_p(z_{top} - \frac{1}{2} \Delta
+  z) \notag \\
+      {} &  \left[\frac{1.5}{H(z_{top} - \frac{1}{2}\Delta z) \Delta z}
+       - \frac{0.5}{H(z_{top} - \frac{3}{2}\Delta z) \Delta z}
+       \right] - \frac{g m}{2 R^*}\label{eq:oplus_S_m_top}
+\end{align}
+%
+and stored in \src{tphdz1(lev1)} and \src{tphdz0(lev1)},
+respectively, with the index $lev1 = nlev + 1$ corresponding to
+$z_{top} + \frac{1}{2} \Delta z$. \\
+
+%
+The diffusion coefficient $D_A$ are calculated at the interface
+pressure level $z, z+ \Delta z, ...$ by averaging
+%
+\begin{align}
+  D_A (z) = \frac{1}{2} \left( D_A(z+\frac{1}{2}\Delta z) + D_A(z-\frac{1}{2}\Delta z)\right)
+  \label{eq:oplus_daint}
+\end{align}
+%
+and stored in the variable \src{djint}. The upper and lower boundary
+values are determined by extrapolation
+%
+\begin{align}
+  D_A (z_{bot}) = \frac{1}{2} \left( 3 D_A(z_{bot}+\frac{1}{2}\Delta z) - D_A(z_{bot}+\frac{3}{2}\Delta
+  z)\right) \\
+  D_A (z_{top}) = \frac{1}{2} \left( 3 D_A(z_{top}-\frac{1}{2}\Delta z) - D_A(z_{top}-\frac{3}{2}\Delta z)\right)
+\end{align}
+%
+The term $T_4 = \frac{\nabla \cdot \mathbf{b}}{b_z} +
+\frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}$ is
+determined at the midpoint pressure level, and stored in the
+variable \src{divbz}
+%
+\begin{align}
+  T_4(z+\frac{1}{2}\Delta z) = & \frac{\nabla \cdot \mathbf{b}}{b_z}(\phi,\lambda) +
+  \frac{1}{R_E D_A(\phi,\lambda,z+\frac{1}{2}\Delta z) b_z^2}[
+  \notag \\
+  {} & \frac{b_x(\phi,\lambda)}{\cos \lambda} (\frac{D_A(\phi+\Delta \phi,\lambda,z+\frac{1}{2}\Delta z)
+  b_z(\phi+\Delta \phi,\lambda)}{2 \Delta \phi} - \notag \\
+  {} & \frac{D_A(\phi-\Delta \phi,\lambda,z+\frac{1}{2}\Delta z)
+  b_z(\phi-\Delta \phi,\lambda)}{2 \Delta \phi})+ \notag \\
+  {} & b_y(\phi,\lambda) (\frac{D_A(\phi,\lambda+\Delta \lambda,z+\frac{1}{2}\Delta z)
+  b_z(\phi,\lambda+\Delta \lambda)}{2 \Delta \lambda} - \notag \\
+  {} & \frac{D_A(\phi,\lambda-\Delta \lambda,z+\frac{1}{2}\Delta z)
+  b_z(\phi,\lambda-\Delta \lambda)}{2 \Delta \lambda})] \label{eq:oplus_T4}
+\end{align}
+%
+The periodic points for $T_4$ are set to zero. \\
+
+%
+The term $T_5= b_z^2(\frac{1}{H \Delta z} \pm \frac{1}{2}T_4)$ are
+calculated, with $T_4 = \frac{\nabla \cdot \mathbf{b}}{b_z} +
+\frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2} $, see
+above in eq.(\ref{eq:oplus_T4})
+%
+\begin{align}
+  T_{5p}(z+\frac{1}{2}\Delta z) = b_z^2\left[ \frac{1}{H \Delta z} +
+    \frac{1}{2} \left( \frac{\nabla \cdot \mathbf{b}}{b_z} +
+     \frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}(z+\frac{1}{2}\Delta z)\right)
+     \right] \label{eq:oplus_T_5p}\\
+  T_{5m}(z+\frac{1}{2}\Delta z) = b_z^2\left[ \frac{1}{H \Delta z} -
+    \frac{1}{2} \left( \frac{\nabla \cdot \mathbf{b}}{b_z} +
+     \frac{\mathbf{b}_H \cdot \nabla_H (D_A b_z)}{R_E D_A b_z^2}(z+\frac{1}{2}\Delta z)\right)
+     \right]  \label{eq:oplus_T_5m}
+\end{align}
+%
+and stored in the variables $hdzpbz$ and $hdzmdz$ respectively. \\
+
+%
+The smoothing of $n(O^+)^{t_n- \Delta t}$ is finished with a
+longitudinal smoothing. See eq. (\ref{eq:oplus_smolat}) for the
+latitudinal smoothing
+%
+\begin{align}
+ n(O^+&)^{smo,t_n- \Delta t} =  n(O^+)^{smo\lambda,t_n- \Delta t} - f_{smo}[
+ n(O^+)^{smo\lambda,t_n- \Delta t} (\phi+2\Delta \phi,\lambda) +
+ \notag \\
+ {} & n(O^+)^{smo\lambda,t_n- \Delta t}(\phi-2\Delta \phi,\lambda) - 4 (
+ n(O^+)^{smo\lambda,t_n- \Delta t}(\phi+\Delta \phi,\lambda)+ \notag
+ \\
+ {} & n(O^+)^{smo\lambda,t_n- \Delta t}(\phi-\Delta \phi,\lambda)) + 6n(O^+)^{t_n- \Delta
+ t}(\phi+\Delta \phi,\lambda)] \label{eq:oplus_smolon}
+\end{align}
+%
+with $f_{smo} = 0.003$. The smoothed number density is added to the
+explicit term $ T_{2,explicit} $
+%
+\begin{align}
+T_{3,explicit} = T_{2,explicit} - \frac{n(O^+)^{smo,t_n- \Delta
+t}}{2 \Delta t}  \label{eq:oplus_exp3}
+\end{align}
+%
+%
+The tridiagonal solver need the equation in the following form:
+%
+\begin{align}
+P(k,i) n^{t+\Delta t}(k-1,i) + & Q(k,i) n^{t+\Delta t}(k,i)+ \notag \\
+ {} & R(k,i) n^{t+\Delta t}(k+1,i) = T_{explicit}(k,i)
+\end{align}
+%
+with the height index $k$ for $z+\frac{1}{2}\Delta z$, $k+1$ for
+$z+\frac{3}{2}\Delta z$, and $k-1$ for $z-\frac{1}{2}\Delta z$. The
+longitude index is denoted by $i$. Note that the equation is solved
+at each latitude $\lambda$ with the index $j$. \\
+
+%
+The fourth and sixth term of the $O^+$ transport equation
+eq.(\ref{eq:oplus_optrans}) are treated implicit with the fourth
+term being
+%
+\begin{align}
+\left[ (\mathbf{b}_h \cdot \nabla_h)
+  K b_z\right] \left[ \left( \frac{1}{H}\frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B}n\right)
+  \right] \notag
+\end{align}
+%
+and the sixth term
+%
+\begin{align}
+  \left( b_z \frac{1}{H} \frac{\partial}{\partial Z} + \nabla \cdot
+  \mathbf{b} \right) K b_z \left( \frac{1}{H} \frac{\partial}{\partial Z} (2 T_p n) + \frac{m g}{k_B} n\right)
+ \notag
+\end{align}
+%
+\begin{align}
+  P_1((z+\frac{1}{2}\Delta z),\phi) = & \;  T_{5m}(z+\frac{1}{2}\Delta z,\phi)D_A (z,\phi) S_m(z+\frac{1}{2}\Delta z,\phi)\\
+  Q_1((z+\frac{1}{2}\Delta z),\phi) = & \; -( T_{5p}(z+\frac{1}{2}\Delta z,\phi)D_A
+          (z+\Delta z,\phi) S_m(z+\frac{3}{2}\Delta z,\phi)
+   + \notag \\
+   {} & T_{5m}(z+\frac{1}{2}\Delta z,\phi)D_A (z,\phi) S_p(z+\frac{1}{2}\Delta z,\phi)) \\
+  R_1((z+\frac{1}{2}\Delta z),\phi) = & \; T_{5p}(z+\frac{1}{2}\Delta z,\phi)D_A (z+\Delta z,\phi) S_p(z+\frac{3}{2}\Delta z,\phi)
+\end{align}
+%
+for the terms please see equations
+(\ref{eq:oplus_S_m}),(\ref{eq:oplus_S_p}),
+(\ref{eq:oplus_daint}),(\ref{eq:oplus_T_5m}),and
+(\ref{eq:oplus_T_5p}). \\
+%
+The term $\mathbf{b} \cdot \mathbf{v}_n$ is determined
+%
+\begin{align}
+  T_6(z+\frac{1}{2}\Delta z) = &b_x u_n(z+\frac{1}{2}\Delta z) + b_y v_n(z+\frac{1}{2}\Delta z) + \notag \\
+    {} & H(z+\frac{1}{2}\Delta z) b_z W(z+\frac{1}{2}\Delta z)
+\end{align}
+%
+Note that the dimensionless vertical velocity $W$ is on the
+interface level $z, z+\Delta z, ...$ \\
+
+%
+Part of the seventh term in eq. (\ref{eq:oplus_optrans}) which is
+%
+\begin{align}
+  (b_z \frac{1}{H}\frac{\partial}{\partial Z})(\mathbf{b}\cdot
+  \mathbf{v}_n) \notag
+\end{align}
+%
+and the ninth term
+%
+\begin{align}
+  B^2 \mathbf{v}_{ExB,z} \frac{1}{H}
+  \frac{\partial}{\partial Z}
+  \left( \frac{n}{B^2}\right) \notag
+\end{align}
+%
+are treated implicit leading to ??? who is this done???
+%
+\begin{align}
+  P_2((z+\frac{1}{2}\Delta z),\phi) = & \;  P_1 + b_z \mathbf{b} \cdot
+          \mathbf{v}_n((z+\frac{1}{2}\Delta z),\phi) + \notag \\
+       {} & \mathbf{v}_{ExB,z}((z+\frac{3}{2}\Delta z),\phi) \frac{1}{2H(z+\frac{3}{2}\Delta z),\phi)\Delta z} \\
+  Q_2((z+\frac{1}{2}\Delta z),\phi) = & \; Q_1 - \mathbf{v}_{ExB,z}((z+\frac{1}{2}\Delta z),\phi)
+   \frac{6}{R_E} \\
+  R_2((z+\frac{1}{2}\Delta z),\phi) = & \; R_1 -
+       b_z mathbf{b} \cdot \mathbf{v}_n((z+\frac{3}{2}\Delta z),\phi) + \notag \\
+       {} & \mathbf{v}_{ExB,z}((z+\frac{1}{2}\Delta z),\phi) \frac{1}{2H(z+\frac{1}{2}\Delta z),\phi)\Delta z}
+\end{align}
+%
+The coefficients at the upper and lower boundary are set to
+%
+\begin{align}
+  P_2^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = & \;  P_2((z_{bot}+\frac{1}{2}\Delta z),\phi) +
+    b_z
+    [ 2 \mathbf{b} \cdot \mathbf{v}_n((z_{bot}+\frac{1}{2}\Delta
+    z),\phi) \notag \\
+    {} &- \mathbf{b} \cdot \mathbf{v}_n((z_{bot}+\frac{3}{2}\Delta z),\phi)
+    ]  \\
+     {} &  +
+       \mathbf{v}_{ExB,z}((z_{bot}+\frac{1}{2}\Delta z),\phi)
+       \frac{1}{2H(z_{bot}+\frac{1}{2}\Delta z),\phi)\Delta z} \notag \\
+%
+  Q_2^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; Q_2((z_{top}-\frac{1}{2}\Delta z),\phi)
+  \notag \\
+  {} & -
+    \mathbf{v}_{ExB,z}((z_{top}-\frac{1}{2}\Delta z),\phi)
+   \frac{6}{R_E} \\
+%
+  R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; R_2(z_{top}-\frac{1}{2}\Delta z),\phi)
+  -+??
+    b_z [ 2 \mathbf{b} \cdot \mathbf{v}_n((z_{top}-\frac{1}{2}\Delta
+    z),\phi) \notag \\
+    {}&-
+    \mathbf{b} \cdot \mathbf{v}_n((z_{top}-\frac{3}{2}\Delta z),\phi)
+    ] \\
+     {} &  +
+       \mathbf{v}_{ExB,z}((z_{top}-\frac{1}{2}\Delta z),\phi)
+       \frac{1}{2H(z_{top}-\frac{1}{2}\Delta z),\phi)\Delta z}
+       \notag
+\end{align}
+%
+We add the other part of the seventh term in the transport equation
+(\ref{eq:oplus_optrans})?? check $b_z$ where does it come from???
+%
+\begin{align}
+\left(\nabla \cdot
+  \mathbf{b} \right)(\mathbf{b}\cdot{v}_n n) \notag
+\end{align}
+%
+and the time derivative of the number density of $n(O^+)$ to the
+Q--coefficient
+%
+\begin{align}
+ Q_3((z+\frac{1}{2}\Delta z),\phi) = & \; Q_2 - (b_z \nabla \cdot
+ \mathbf{b}(\phi))
+ (\mathbf{b} \cdot \mathbf{v}_n((z+\frac{1}{2}\Delta z),\phi)) -
+ \frac{1}{2 \Delta t}
+\end{align}
+%
+The upper boundary condition is defined by
+%
+\begin{align}
+  -b_z^2 D_a\left( T_p \frac{\partial}{H \partial Z} +
+  \frac{mg}{R^*}\right) n = F^{O^+}
+\end{align}
+%
+with $F^{O^+} $ the flux of $O^+$ from and to the plasmasphere,
+which was defined in eq. (\ref{eq:oplus_flux1}) and
+(\ref{eq:oplus_flux2}).
+%
+\begin{align}
+  B = & -b_z^2 D_a(z_{top}) S_m(z_{top}+\frac{1}{2}\Delta z) \\
+  A = & -b_z^2 D_a(z_{top}) S_p(z_{top}+\frac{1}{2}\Delta z)
+\end{align}
+%
+with $S_m= 2 T_p \frac{\partial}{H \partial Z} +
+  \frac{mg}{R^*}$ from eq. (\ref{eq:oplus_S_m_top}) leading to
+%
+\begin{align}
+ Q_3^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & \; Q_3((z_{top}-\frac{1}{2}\Delta z),\phi)
+ + \frac{B}{A} R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi)
+\end{align}
+%
+and for the right hand side
+%
+\begin{align}
+  T_{3,explicit}^*((z_{top}-\frac{1}{2}\Delta z),\phi) = & T_{3,explicit}((z_{top}-\frac{1}{2}\Delta
+  z),\phi) - \notag \\
+  {} &  F^{O^+}  R_2^*((z_{top}-\frac{1}{2}\Delta z),\phi)
+  \frac{1}{A}
+\end{align}
+%
+The source and sink terms are calculated
+%
+\begin{align}
+  n(XI & O^+(^2P)) =  \frac{1}{2}\left( Q(O^+(^2P))(z) + Q(O^+(^2P))(z+\frac{1}{2} \Delta
+  z)\right) \notag \\
+  {} & \frac{1}{(k_{16} + k_{17})n(N_2) + k_{18} n(O) + (k_{19}+k_{20})N_e(z??) +
+  k_{21}+k_{22}} \\
+  n(XI & O^+(^2D)) =  \frac{1}{2}\left( Q(O^+(^2D))(z) + Q(O^+(^2D))(z+\frac{1}{2} \Delta
+  z)\right) + \notag \\
+  {} & \frac{(k_{20} N_e(z??)+ k_{22})n(XI
+  O^+(^2P))}{k_{23}n(N_2)+k_{24}n(O)+k_{26}n(O_2)} \\
+  L^{O^+} = & k_1 n(O_2) + k_2 n(N_2) + k_{10 n(N(^2D))}
+\end{align}
+%
+The loss term $L^{O^+}$ is added to the left hand side
+%
+\begin{align}
+  Q_4((z+\frac{1}{2}\Delta z),\phi) = Q_3((z+\frac{1}{2}\Delta
+  z),\phi) -L^{O^+}
+\end{align}
+%
+The right hand side is updated by
+%
+\begin{align}
+ T_{4,explicit}((z+\frac{1}{2}\Delta z),\phi)= &
+  T_{3,explicit}((z+\frac{1}{2}\Delta z),\phi) - Q(O^+)- \notag \\
+  {} & (k_{19} N_e(z) + k_{21})n(XI O^+(^2P)) - \notag \\
+  {} & (k_{25} N_e(z) + k_{27})n(XI O^+(^2D)) - \notag \\
+  {} &  (k_{18}n(XI O^+(^2P)) + k_{24}n(XI O^+(^2D)))n(O)
+\end{align}
+%
+The lower boundary condition is specified by photochemical
+equilibrium $n = \frac{Q}{L}$ leading to
+%
+\begin{align}
+  {} & Q_4^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = Q_4((z_{bot}+\frac{1}{2}\Delta
+    z),\phi) - P_2((z_{bot}+\frac{1}{2}\Delta z),\phi) \\
+  {} & T_{4,explicit}^*((z_{bot}+\frac{1}{2}\Delta z),\phi)= T_{4,explicit}((z_{bot}+\frac{1}{2}\Delta
+    z),\phi) - \notag \\
+    {} & \; \; \; \; 2 P_2((z_{bot}+\frac{1}{2}\Delta
+    z),\phi)\frac{Q(O^+)}{1.5 L^{O^+}(z_{bot}+\frac{1}{2}\Delta z)-
+     0.5 L^{O^+}(z_{bot}+\frac{3}{2}\Delta
+    z)} \\
+  {} & P_2^*((z_{bot}+\frac{1}{2}\Delta z),\phi) = 0
+\end{align}
+%
+%
+Solving for the number density of $O^+$ at each latitude leads to
+the updated number densities $n(O^+)^{upd, t_n+\Delta t}$ at the
+midpoints. The calculated values for the number density of
+$n(O^+)^{upd, t + \Delta t}$ are smoothed by a Fast Fourier
+transformation leading to $n(O^+)_{smo}^{upd,t+\Delta t}$. All the
+wave numbers larger than a predefined value at each latitude are
+removed. The wave numbers are defined in the module \src{cons.F}???.
+The values of the number densities at the timestep $t_n$ are also
+updated by using
+%
+\begin{align}
+  n(O^+)^{upd,t} = \frac{1}{2}({1-c_{smo}})(n(O^+)^{t-\Delta t}+
+     n(O^+)_{smo}^{upd,t+\Delta t}) + c_{smo}n(O^+)^{t_n}
+\end{align}
+%
+with $c_{smo} = 0.95$ The upper boundary values are set to zero
+%
+\begin{align}
+ n(O^+)^{upd,t_n}(z_{top}-\frac{1}{2}\Delta z) = 0 \\
+ n(O^+)_{smo}^{upd,t_n}(z_{top}-\frac{1}{2}\Delta z) = 0
+\end{align}
+%
+and the number density is set such that it has a minimum value of
+$1\cdot 10^{-5}$.
+%
+\begin{align}
+ n(O^+)^{upd,t_n}(z+\frac{1}{2}\Delta z) \geq  1\cdot 10^{-5}\\
+ n(O^+)_{smo}^{upd,t_n}(z+\frac{1}{2}\Delta z) \geq 1\cdot 10^{-5}
+\end{align}
+%
diff --git a/doc/description/testc.tex b/doc/description/testc.tex
index 196fead..43112b4 100644
--- a/doc/description/testc.tex
+++ b/doc/description/testc.tex
@@ -1,125 +1,125 @@
-%
-\section{Calculation of Minor species $N(^2D)$,$N(^4S)$, and $NO$ / \index{COMP\_N2D.F}, \index{COMP\_N4S.F}, \index{COMP\_NO.F}}\label{cap:comp_n}
-%
-\subsection{calculation of $N(^2D)$}\label{subcap:comp_n2d}
-%
-The input to \src{subroutine comp\_n2d} is summarized in table
-\ref{tab:input_comp_n2d}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N(^2P)$&       $n(N(^2P))$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-conversion factor&       $N \overline{m}$              & $\#/cm^3
-g/mole$   &  midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_n2d}}
-\label{tab:input_comp_n2d}
-\end{table}
-%
-The output of \src{subroutine comp\_n2d} is summarized in table
-\ref{tab:output_comp_n2d}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep \\ \hline \hline mass mixing ratio $N(^2D)$ &
-$\Psi(N(^2D))$ & $-$ & midpoints & $t_n+\Delta t$
-\\ \hline \hline
-\end{tabular}
-\caption{Output fields of \src{subroutine comp\_n2d}}
-\label{tab:output_comp_n2d}
-\end{table}
-%
-$N(^2D)$ is assumed to be in photochemical equilibrium, such that
-the production $P(N(^2D))$ and loss rate $L(N(^2D))$ of $N(^2D)$ is
-balanced.
-%
-\begin{align}
-  n(N(^2D)) = \frac{P(N(^2D))}{L(N(^2D))}
-\end{align}
-%
-The production is due to solar EUV photodissociation of $N_2$, and
-ion and neutral chemistry
-%
-\begin{align}
- P(N(^2D))(z+\frac{1}{2}\Delta z) = \frac{1}{2} \left[ Q_{tef}(z) +  Q_{tef}(z+\Delta z)\right]
-   br_{N^2D} + k_3 n(N_2^+)N \overline{m}\frac{\Psi(O)}{m_o} +
-   \left( \alpha_1 n(NO^+) 0.85 + \alpha_3 n(N_2^+) 0.9\right)
-   \sqrt{Ne(z) Ne(z+\Delta z}
-\end{align}
-%
-with the branching ratio of producing $N(^2D)$ which is set to 0.6.
-The chemical reaction rates are $\alpha$ and $k$ defined in the
-\src{chemrates\_module}. The total production rate due to solar
-radiation and auroral particle precipitation is denoted by $Q_{tef}$
-which is calculated in \src{subroutine qrj}. \\
-The loss term $L(N(^2D))$ is determined by
-%
-\begin{align}
-  L(N(^2D))(z+\frac{1}{2}\Delta z) = N\overline{m} \left[ \beta_2 \frac{\Psi(O_2)}{m_{O_2}} +
-     \beta_4 \frac{\Psi(O)}{m_{O}} +  \beta_6
-     \frac{\Psi(NO)}{m_{NO}}\right]+
-     \beta_7 + \beta_5\sqrt{Ne(z) Ne(z+\Delta z)} + k_{10}n(O^+)
-\end{align}
-%
-The chemical rates $\beta$ are defined in the module
-\src{chemrates\_module}. \\
-The number density $n(N(^2D))$ is converted to the mass mixing ratio
-by
-%
-\begin{align}
-  \Psi(N(^2D) = \frac{m_{N^2D}}{N \overline{m}}\frac{P(N(^2D))}{L(N(^2D))}
-\end{align}
-%
-
-\subsection{calculation of $N(^4S)$}\label{subcap:comp_n4s}
-%
-The input to \src{subroutine comp\_n4s} is summarized in table
-\ref{tab:input_comp_n4s}.
-%
-\begin{table}[tb]
-\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
-physical field               & variable        & unit&pressure
-level& timestep
-\\ \hline \hline
-%
-mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
-mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
-electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
-number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $N^4$&       $n(N^4)$              & $1/cm^3$   &  midpoints & $t_n$\\
-number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
-neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
-mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
-conversion factor&       $N \overline{m}$              & $\#/cm^3
-g/mole$   &  midpoints & $t_n$
- \\ \hline
-\end{tabular}
-\caption{Input fields to \src{subroutine comp\_n4s}}
-\label{tab:input_comp_n2d}
-\end{table}
-%
-The output of \src{subroutine comp\_n4s} are the factor which define
-the lower boundary calculated in \src{subroutine minor} by solving
-$A\frac{d X}{dZ} + B X + C = 0$. Also the upward flux at the upper
-boundary is defined, and the production $P$ and loss rate $L$ of
-$N(^4S)$. These values are stored in module data of the module
-\src{comp\_n4s}. After \src{subroutine comp\_n4s} the
-\src{subroutine minor\_n4s} is called to calculate the mass mixing
-ratio of $N(^4S)$. \src{Subroutine minor\_n4s} is not described here
-since it just calls \src{subroutine minor}.
+%
+\section{Calculation of Minor species $N(^2D)$,$N(^4S)$, and $NO$ / \index{COMP\_N2D.F}, \index{COMP\_N4S.F}, \index{COMP\_NO.F}}\label{cap:comp_n}
+%
+\subsection{calculation of $N(^2D)$}\label{subcap:comp_n2d}
+%
+The input to \src{subroutine comp\_n2d} is summarized in table
+\ref{tab:input_comp_n2d}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N(^2P)$&       $n(N(^2P))$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+conversion factor&       $N \overline{m}$              & $\#/cm^3
+g/mole$   &  midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_n2d}}
+\label{tab:input_comp_n2d}
+\end{table}
+%
+The output of \src{subroutine comp\_n2d} is summarized in table
+\ref{tab:output_comp_n2d}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep \\ \hline \hline mass mixing ratio $N(^2D)$ &
+$\Psi(N(^2D))$ & $-$ & midpoints & $t_n+\Delta t$
+\\ \hline \hline
+\end{tabular}
+\caption{Output fields of \src{subroutine comp\_n2d}}
+\label{tab:output_comp_n2d}
+\end{table}
+%
+$N(^2D)$ is assumed to be in photochemical equilibrium, such that
+the production $P(N(^2D))$ and loss rate $L(N(^2D))$ of $N(^2D)$ is
+balanced.
+%
+\begin{align}
+  n(N(^2D)) = \frac{P(N(^2D))}{L(N(^2D))}
+\end{align}
+%
+The production is due to solar EUV photodissociation of $N_2$, and
+ion and neutral chemistry
+%
+\begin{align}
+ P(N(^2D))(z+\frac{1}{2}\Delta z) = \frac{1}{2} \left[ Q_{tef}(z) +  Q_{tef}(z+\Delta z)\right]
+   br_{N^2D} + k_3 n(N_2^+)N \overline{m}\frac{\Psi(O)}{m_o} +
+   \left( \alpha_1 n(NO^+) 0.85 + \alpha_3 n(N_2^+) 0.9\right)
+   \sqrt{Ne(z) Ne(z+\Delta z}
+\end{align}
+%
+with the branching ratio of producing $N(^2D)$ which is set to 0.6.
+The chemical reaction rates are $\alpha$ and $k$ defined in the
+\src{chemrates\_module}. The total production rate due to solar
+radiation and auroral particle precipitation is denoted by $Q_{tef}$
+which is calculated in \src{subroutine qrj}. \\
+The loss term $L(N(^2D))$ is determined by
+%
+\begin{align}
+  L(N(^2D))(z+\frac{1}{2}\Delta z) = N\overline{m} \left[ \beta_2 \frac{\Psi(O_2)}{m_{O_2}} +
+     \beta_4 \frac{\Psi(O)}{m_{O}} +  \beta_6
+     \frac{\Psi(NO)}{m_{NO}}\right]+
+     \beta_7 + \beta_5\sqrt{Ne(z) Ne(z+\Delta z)} + k_{10}n(O^+)
+\end{align}
+%
+The chemical rates $\beta$ are defined in the module
+\src{chemrates\_module}. \\
+The number density $n(N(^2D))$ is converted to the mass mixing ratio
+by
+%
+\begin{align}
+  \Psi(N(^2D) = \frac{m_{N^2D}}{N \overline{m}}\frac{P(N(^2D))}{L(N(^2D))}
+\end{align}
+%
+
+\subsection{calculation of $N(^4S)$}\label{subcap:comp_n4s}
+%
+The input to \src{subroutine comp\_n4s} is summarized in table
+\ref{tab:input_comp_n4s}.
+%
+\begin{table}[tb]
+\begin{tabular}{|p{3.5cm} ||c|c|c|c|c|c|} \hline
+physical field               & variable        & unit&pressure
+level& timestep
+\\ \hline \hline
+%
+mass mixing ratio $O_2$ &       $\Psi(O_2)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $O$ &         $\Psi(O  )$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $NO$ &       $\Psi(NO)$              & $-$   &  midpoints & $t_n$\\
+mass mixing ratio $N(^2D)$ &       $\Psi(N(^2(D))$              & $-$   &  midpoints & $t_n$\\
+electron density&       $Ne$              & $1/cm^3$   &  interfaces & $t_n$\\
+number density $O_2^+$&       $n(O_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $O^+$&       $n(O^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N_2^+$&       $n(N_2^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $N^4$&       $n(N^4)$              & $1/cm^3$   &  midpoints & $t_n$\\
+number density $NO^+$&       $n(NO^+)$              & $1/cm^3$   &  midpoints & $t_n$\\
+neutral temperature&       $Tn$              & $K$   &  midpoints & $t_n$\\
+mean molecular mass&       $\overline{m}$              & $g/mole????$   &  midpoints & $t_n$\\
+conversion factor&       $N \overline{m}$              & $\#/cm^3
+g/mole$   &  midpoints & $t_n$
+ \\ \hline
+\end{tabular}
+\caption{Input fields to \src{subroutine comp\_n4s}}
+\label{tab:input_comp_n2d}
+\end{table}
+%
+The output of \src{subroutine comp\_n4s} are the factor which define
+the lower boundary calculated in \src{subroutine minor} by solving
+$A\frac{d X}{dZ} + B X + C = 0$. Also the upward flux at the upper
+boundary is defined, and the production $P$ and loss rate $L$ of
+$N(^4S)$. These values are stored in module data of the module
+\src{comp\_n4s}. After \src{subroutine comp\_n4s} the
+\src{subroutine minor\_n4s} is called to calculate the mass mixing
+ratio of $N(^4S)$. \src{Subroutine minor\_n4s} is not described here
+since it just calls \src{subroutine minor}.
diff --git a/doc/description/xTocinc.sty b/doc/description/xTocinc.sty
index 46796f2..2f19484 100644
--- a/doc/description/xTocinc.sty
+++ b/doc/description/xTocinc.sty
@@ -1,39 +1,39 @@
-% -------------------------------------------------------------------
-% Include Table of Contents in the Table of Contents
-% Change spacing
-% Modified by Alex, October 1994
-% Bug Fix: TOC Page number when TOC spans over one page (November, 1999)
-% Also makes the title of LOF and LOT of size \large -- Modified by JFL
-\newlength{\tclineskip}
-\setlength{\tclineskip}{\baselineskip}
-\def\@addcontentsline#1#2#3{\if@filesw \begingroup
-\let\label\@gobble \let\index\@gobble \let\glossary\@gobble
-\def\protect##1{\string\string\string##1\string\space
-   \space}\@temptokena{\thepage}%
-\edef\@tempa{\immediate\write
-\@auxout{\string\@writefile{#1}{\protect
-     \contentsline{#2}{#3}{\the\@temptokena}}}}\@tempa
-   \if@nobreak \ifvmode\nobreak\fi\fi\endgroup\fi}
-\def\tableofcontents{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
- \fi\chapter*{\large Table of Contents\@mkboth{CONTENTS}{CONTENTS}}
-  \newlength{\@defbaselineskip}
-  \setlength{\@defbaselineskip}{\baselineskip}
-  \setlength{\baselineskip}{\tclineskip}
-  \addcontentsline{toc}{chapter}{Table of Contents}
-  \@starttoc{toc}
-  \setlength{\baselineskip}{\@defbaselineskip}
-  \if@restonecol\twocolumn\fi
-  \relax}
-  \def\lot{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
- \fi\chapter*{\large List of Tables\@mkboth{CONTENTS}{CONTENTS}}
-  \@starttoc{lot}
-  \relax}
-\def\lof{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
- \fi\chapter*{\large List of Figures\@mkboth{CONTENTS}{CONTENTS}}
-  \@starttoc{lof}
-\relax}
-\def\bib{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
- \fi\chapter*{\large Ref\@mkboth{CONTENTS}{CONTENTS}}
-  \@starttoc{bibliography}
-\relax}
-% -------------------------------------------------------------------
+% -------------------------------------------------------------------
+% Include Table of Contents in the Table of Contents
+% Change spacing
+% Modified by Alex, October 1994
+% Bug Fix: TOC Page number when TOC spans over one page (November, 1999)
+% Also makes the title of LOF and LOT of size \large -- Modified by JFL
+\newlength{\tclineskip}
+\setlength{\tclineskip}{\baselineskip}
+\def\@addcontentsline#1#2#3{\if@filesw \begingroup
+\let\label\@gobble \let\index\@gobble \let\glossary\@gobble
+\def\protect##1{\string\string\string##1\string\space
+   \space}\@temptokena{\thepage}%
+\edef\@tempa{\immediate\write
+\@auxout{\string\@writefile{#1}{\protect
+     \contentsline{#2}{#3}{\the\@temptokena}}}}\@tempa
+   \if@nobreak \ifvmode\nobreak\fi\fi\endgroup\fi}
+\def\tableofcontents{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
+ \fi\chapter*{\large Table of Contents\@mkboth{CONTENTS}{CONTENTS}}
+  \newlength{\@defbaselineskip}
+  \setlength{\@defbaselineskip}{\baselineskip}
+  \setlength{\baselineskip}{\tclineskip}
+  \addcontentsline{toc}{chapter}{Table of Contents}
+  \@starttoc{toc}
+  \setlength{\baselineskip}{\@defbaselineskip}
+  \if@restonecol\twocolumn\fi
+  \relax}
+  \def\lot{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
+ \fi\chapter*{\large List of Tables\@mkboth{CONTENTS}{CONTENTS}}
+  \@starttoc{lot}
+  \relax}
+\def\lof{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
+ \fi\chapter*{\large List of Figures\@mkboth{CONTENTS}{CONTENTS}}
+  \@starttoc{lof}
+\relax}
+\def\bib{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
+ \fi\chapter*{\large Ref\@mkboth{CONTENTS}{CONTENTS}}
+  \@starttoc{bibliography}
+\relax}
+% -------------------------------------------------------------------
diff --git a/doc/postproc/Makefile b/doc/postproc/Makefile
deleted file mode 100644
index 62847f3..0000000
--- a/doc/postproc/Makefile
+++ /dev/null
@@ -1,130 +0,0 @@
-# Makefile for Sphinx documentation
-#
-
-# You can set these variables from the command line.
-SPHINXOPTS    =
-SPHINXBUILD   = sphinx-build
-PAPER         =
-BUILDDIR      = _build
-
-# Internal variables.
-PAPEROPT_a4     = -D latex_paper_size=a4
-PAPEROPT_letter = -D latex_paper_size=letter
-ALLSPHINXOPTS   = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) .
-
-.PHONY: help clean html dirhtml singlehtml pickle json htmlhelp qthelp devhelp epub latex latexpdf text man changes linkcheck doctest
-
-help:
-	@echo "Please use \`make <target>' where <target> is one of"
-	@echo "  html       to make standalone HTML files"
-	@echo "  dirhtml    to make HTML files named index.html in directories"
-	@echo "  singlehtml to make a single large HTML file"
-	@echo "  pickle     to make pickle files"
-	@echo "  json       to make JSON files"
-	@echo "  htmlhelp   to make HTML files and a HTML help project"
-	@echo "  qthelp     to make HTML files and a qthelp project"
-	@echo "  devhelp    to make HTML files and a Devhelp project"
-	@echo "  epub       to make an epub"
-	@echo "  latex      to make LaTeX files, you can set PAPER=a4 or PAPER=letter"
-	@echo "  latexpdf   to make LaTeX files and run them through pdflatex"
-	@echo "  text       to make text files"
-	@echo "  man        to make manual pages"
-	@echo "  changes    to make an overview of all changed/added/deprecated items"
-	@echo "  linkcheck  to check all external links for integrity"
-	@echo "  doctest    to run all doctests embedded in the documentation (if enabled)"
-
-clean:
-	-rm -rf $(BUILDDIR)/*
-
-html:
-	$(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html
-	@echo
-	@echo "Build finished. The HTML pages are in $(BUILDDIR)/html."
-
-dirhtml:
-	$(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml
-	@echo
-	@echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml."
-
-singlehtml:
-	$(SPHINXBUILD) -b singlehtml $(ALLSPHINXOPTS) $(BUILDDIR)/singlehtml
-	@echo
-	@echo "Build finished. The HTML page is in $(BUILDDIR)/singlehtml."
-
-pickle:
-	$(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle
-	@echo
-	@echo "Build finished; now you can process the pickle files."
-
-json:
-	$(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json
-	@echo
-	@echo "Build finished; now you can process the JSON files."
-
-htmlhelp:
-	$(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp
-	@echo
-	@echo "Build finished; now you can run HTML Help Workshop with the" \
-	      ".hhp project file in $(BUILDDIR)/htmlhelp."
-
-qthelp:
-	$(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp
-	@echo
-	@echo "Build finished; now you can run "qcollectiongenerator" with the" \
-	      ".qhcp project file in $(BUILDDIR)/qthelp, like this:"
-	@echo "# qcollectiongenerator $(BUILDDIR)/qthelp/tiegcm194.qhcp"
-	@echo "To view the help file:"
-	@echo "# assistant -collectionFile $(BUILDDIR)/qthelp/tiegcm194.qhc"
-
-devhelp:
-	$(SPHINXBUILD) -b devhelp $(ALLSPHINXOPTS) $(BUILDDIR)/devhelp
-	@echo
-	@echo "Build finished."
-	@echo "To view the help file:"
-	@echo "# mkdir -p $$HOME/.local/share/devhelp/tiegcm194"
-	@echo "# ln -s $(BUILDDIR)/devhelp $$HOME/.local/share/devhelp/tiegcm194"
-	@echo "# devhelp"
-
-epub:
-	$(SPHINXBUILD) -b epub $(ALLSPHINXOPTS) $(BUILDDIR)/epub
-	@echo
-	@echo "Build finished. The epub file is in $(BUILDDIR)/epub."
-
-latex:
-	$(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex
-	@echo
-	@echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex."
-	@echo "Run \`make' in that directory to run these through (pdf)latex" \
-	      "(use \`make latexpdf' here to do that automatically)."
-
-latexpdf:
-	$(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex
-	@echo "Running LaTeX files through pdflatex..."
-	make -C $(BUILDDIR)/latex all-pdf
-	@echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex."
-
-text:
-	$(SPHINXBUILD) -b text $(ALLSPHINXOPTS) $(BUILDDIR)/text
-	@echo
-	@echo "Build finished. The text files are in $(BUILDDIR)/text."
-
-man:
-	$(SPHINXBUILD) -b man $(ALLSPHINXOPTS) $(BUILDDIR)/man
-	@echo
-	@echo "Build finished. The manual pages are in $(BUILDDIR)/man."
-
-changes:
-	$(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes
-	@echo
-	@echo "The overview file is in $(BUILDDIR)/changes."
-
-linkcheck:
-	$(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck
-	@echo
-	@echo "Link check complete; look for any errors in the above output " \
-	      "or in $(BUILDDIR)/linkcheck/output.txt."
-
-doctest:
-	$(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest
-	@echo "Testing of doctests in the sources finished, look at the " \
-	      "results in $(BUILDDIR)/doctest/output.txt."
diff --git a/doc/postproc/benchmarks.rst b/doc/postproc/benchmarks.rst
deleted file mode 100644
index b99351e..0000000
--- a/doc/postproc/benchmarks.rst
+++ /dev/null
@@ -1,293 +0,0 @@
-
-|tgcm_version_uc| Benchmark Runs: Selected Results
-==================================================
-
-Benchmark runs are provided in three groups:
-
-* Full-year Climatology (solar min,max)
-* Seasonal (Equinox, Solstice, solar min,max)
-* Solar Storm Events (heelis_gpi, weimer_imf)
-
-.. note::
-
- Climatology and Seasonal runs were made with constant solar conditions as follows:
-
- * Solar Minimum Conditions:
-
-   | POWER   = 18.
-   | CTPOTEN = 30.
-   | F107    = 70.
-   | F107A   = 70.
-
- * Solar Maximum Conditions:
-
-   | POWER   = 40.
-   | CTPOTEN = 60.
-   | F107    = 200.
-   | F107A   = 200.
-
-.. note::
-
-  All links are to multi-frame pdf plot files, as follows:
-
-  .. describe:: utvert
-
-    UT time (daily or hourly) vs Zp pressure
-
-  .. describe:: utlat
-
-    UT time (daily or hourly) vs Latitude
-
-  .. describe:: singleut
-
-    Instantaneous global maps and latitude and longitude slices
-
-.. note::
-
-  These fields are plotted:
-     TN , UN , VN , WN , HE , NE , TE , TI , HMF2 , NMF2 , POTEN , Z 
-
-Full-year Climatologies (Solar min,max)
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-
-* 5.0-degree model resolution:
-
-  * tiegcm_res5.0_climatology_smax
-    (:benchmarks_url:`utvert <tiegcm_res5.0_climatology/tiegcm_res5.0_climatology_smax/pdf/tiegcm_res5.0_climatology_smax_days001-365_utvert_select.pdf>`, 
-    :benchmarks_url:`utlat  <tiegcm_res5.0_climatology/tiegcm_res5.0_climatology_smax/pdf/tiegcm_res5.0_climatology_smax_days001-365_utlat_select.pdf>`)
-
-  * tiegcm_res5.0_climatology_smin
-    (:benchmarks_url:`utvert <tiegcm_res5.0_climatology/tiegcm_res5.0_climatology_smin/pdf/tiegcm_res5.0_climatology_smin_days001-365_utvert_select.pdf>`, 
-    :benchmarks_url:`utlat  <tiegcm_res5.0_climatology/tiegcm_res5.0_climatology_smin/pdf/tiegcm_res5.0_climatology_smin_days001-365_utlat_select.pdf>`)
-
-* 2.5-degree model resolution:
-
-  * tiegcm_res2.5_climatology_smax
-    (:benchmarks_url:`utvert <tiegcm_res2.5_climatology/tiegcm_res2.5_climatology_smax/pdf/tiegcm_res2.5_climatology_smax_days001-365_utvert_select.pdf>`, 
-    :benchmarks_url:`utlat  <tiegcm_res2.5_climatology/tiegcm_res2.5_climatology_smax/pdf/tiegcm_res2.5_climatology_smax_days001-365_utlat_select.pdf>`)
-
-  * tiegcm_res2.5_climatology_smin
-    (:benchmarks_url:`utvert <tiegcm_res2.5_climatology/tiegcm_res2.5_climatology_smin/pdf/tiegcm_res2.5_climatology_smin_days001-365_utvert_select.pdf>`, 
-    :benchmarks_url:`utlat  <tiegcm_res2.5_climatology/tiegcm_res2.5_climatology_smin/pdf/tiegcm_res2.5_climatology_smin_days001-365_utlat_select.pdf>`)
-
-Seasonal (Equinox, Solstice, Solar min,max)
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-
-* 5.0-degree model resolution:
-
-  * tiegcm_res5.0_decsol_smax
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smax/pdf/tiegcm_res5.0_decsol_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smax/pdf/tiegcm_res5.0_decsol_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smax/pdf/tiegcm_res5.0_decsol_smax_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_decsol_smin
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smin/pdf/tiegcm_res5.0_decsol_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smin/pdf/tiegcm_res5.0_decsol_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_decsol_smin/pdf/tiegcm_res5.0_decsol_smin_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_junsol_smax
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smax/pdf/tiegcm_res5.0_junsol_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smax/pdf/tiegcm_res5.0_junsol_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smax/pdf/tiegcm_res5.0_junsol_smax_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_junsol_smin
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smin/pdf/tiegcm_res5.0_junsol_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smin/pdf/tiegcm_res5.0_junsol_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_junsol_smin/pdf/tiegcm_res5.0_junsol_smin_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_mareqx_smax
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smax/pdf/tiegcm_res5.0_mareqx_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smax/pdf/tiegcm_res5.0_mareqx_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smax/pdf/tiegcm_res5.0_mareqx_smax_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_mareqx_smin
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smin/pdf/tiegcm_res5.0_mareqx_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smin/pdf/tiegcm_res5.0_mareqx_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_mareqx_smin/pdf/tiegcm_res5.0_mareqx_smin_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_sepeqx_smax
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smax/pdf/tiegcm_res5.0_sepeqx_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smax/pdf/tiegcm_res5.0_sepeqx_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smax/pdf/tiegcm_res5.0_sepeqx_smax_singleut_select.pdf>`)
-
-  * tiegcm_res5.0_sepeqx_smin
-    (:benchmarks_url:`utvert <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smin/pdf/tiegcm_res5.0_sepeqx_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smin/pdf/tiegcm_res5.0_sepeqx_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res5.0_seasons/tiegcm_res5.0_sepeqx_smin/pdf/tiegcm_res5.0_sepeqx_smin_singleut_select.pdf>`)
-
-* 2.5-degree model resolution:
-
-  * tiegcm_res2.5_decsol_smax
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smax/pdf/tiegcm_res2.5_decsol_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smax/pdf/tiegcm_res2.5_decsol_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smax/pdf/tiegcm_res2.5_decsol_smax_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_decsol_smin
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smin/pdf/tiegcm_res2.5_decsol_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smin/pdf/tiegcm_res2.5_decsol_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_decsol_smin/pdf/tiegcm_res2.5_decsol_smin_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_junsol_smax
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smax/pdf/tiegcm_res2.5_junsol_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smax/pdf/tiegcm_res2.5_junsol_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smax/pdf/tiegcm_res2.5_junsol_smax_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_junsol_smin
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smin/pdf/tiegcm_res2.5_junsol_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smin/pdf/tiegcm_res2.5_junsol_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_junsol_smin/pdf/tiegcm_res2.5_junsol_smin_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_mareqx_smax
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smax/pdf/tiegcm_res2.5_mareqx_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smax/pdf/tiegcm_res2.5_mareqx_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smax/pdf/tiegcm_res2.5_mareqx_smax_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_mareqx_smin
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smin/pdf/tiegcm_res2.5_mareqx_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smin/pdf/tiegcm_res2.5_mareqx_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_mareqx_smin/pdf/tiegcm_res2.5_mareqx_smin_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_sepeqx_smax
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smax/pdf/tiegcm_res2.5_sepeqx_smax_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smax/pdf/tiegcm_res2.5_sepeqx_smax_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smax/pdf/tiegcm_res2.5_sepeqx_smax_singleut_select.pdf>`)
-
-  * tiegcm_res2.5_sepeqx_smin
-    (:benchmarks_url:`utvert <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smin/pdf/tiegcm_res2.5_sepeqx_smin_utvert_select.pdf>`,
-    :benchmarks_url:`utlat <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smin/pdf/tiegcm_res2.5_sepeqx_smin_utlat_select.pdf>`,
-    :benchmarks_url:`singleut <tiegcm_res2.5_seasons/tiegcm_res2.5_sepeqx_smin/pdf/tiegcm_res2.5_sepeqx_smin_singleut_select.pdf>`)
-
-Geomagnetic Storm Events (heelis_gpi, weimer_imf)
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-
-* 5.0-degree model resolution:
-
-  * tiegcm_res5.0_dec2006_heelis_gpi
-
-    * :benchmarks_url:`days 330-360 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_heelis_gpi/pdf/tiegcm_res5.0_dec2006_heelis_gpi_days330-360_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 330-360 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_heelis_gpi/pdf/tiegcm_res5.0_dec2006_heelis_gpi_days330-360_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_heelis_gpi/pdf/tiegcm_res5.0_dec2006_heelis_gpi_days347-352_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_heelis_gpi/pdf/tiegcm_res5.0_dec2006_heelis_gpi_days347-352_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 349,12,0 <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_heelis_gpi/pdf/tiegcm_res5.0_dec2006_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res5.0_dec2006_weimer_imf
-
-    * :benchmarks_url:`days 330-360 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_weimer_imf/pdf/tiegcm_res5.0_dec2006_weimer_imf_days330-360_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 330-360 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_weimer_imf/pdf/tiegcm_res5.0_dec2006_weimer_imf_days330-360_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_weimer_imf/pdf/tiegcm_res5.0_dec2006_weimer_imf_days347-352_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_weimer_imf/pdf/tiegcm_res5.0_dec2006_weimer_imf_days347-352_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 349,12,0 <tiegcm_res5.0_storms/tiegcm_res5.0_dec2006_weimer_imf/pdf/tiegcm_res5.0_dec2006_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res5.0_jul2000_heelis_gpi
-
-    * :benchmarks_url:`days 192-202 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_heelis_gpi/pdf/tiegcm_res5.0_jul2000_heelis_gpi_days192-202_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 192-202 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_heelis_gpi/pdf/tiegcm_res5.0_jul2000_heelis_gpi_days192-202_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_heelis_gpi/pdf/tiegcm_res5.0_jul2000_heelis_gpi_days195-200_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_heelis_gpi/pdf/tiegcm_res5.0_jul2000_heelis_gpi_days195-200_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 198,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_heelis_gpi/pdf/tiegcm_res5.0_jul2000_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res5.0_jul2000_weimer_imf
-
-    * :benchmarks_url:`days 192-202 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_weimer_imf/pdf/tiegcm_res5.0_jul2000_weimer_imf_days192-202_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 192-202 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_weimer_imf/pdf/tiegcm_res5.0_jul2000_weimer_imf_days192-202_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_weimer_imf/pdf/tiegcm_res5.0_jul2000_weimer_imf_days195-200_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_weimer_imf/pdf/tiegcm_res5.0_jul2000_weimer_imf_days195-200_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 198,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_jul2000_weimer_imf/pdf/tiegcm_res5.0_jul2000_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res5.0_nov2003_heelis_gpi
-
-    * :benchmarks_url:`days 323-328 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_heelis_gpi/pdf/tiegcm_res5.0_nov2003_heelis_gpi_days323-328_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_heelis_gpi/pdf/tiegcm_res5.0_nov2003_heelis_gpi_days323-328_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_heelis_gpi/pdf/tiegcm_res5.0_nov2003_heelis_gpi_days323-328_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_heelis_gpi/pdf/tiegcm_res5.0_nov2003_heelis_gpi_days323-328_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 325,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_heelis_gpi/pdf/tiegcm_res5.0_nov2003_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res5.0_nov2003_weimer_imf
-
-    * :benchmarks_url:`days 323-328 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_weimer_imf/pdf/tiegcm_res5.0_nov2003_weimer_imf_days323-328_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_weimer_imf/pdf/tiegcm_res5.0_nov2003_weimer_imf_days323-328_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_weimer_imf/pdf/tiegcm_res5.0_nov2003_weimer_imf_days323-328_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_weimer_imf/pdf/tiegcm_res5.0_nov2003_weimer_imf_days323-328_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 325,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_nov2003_weimer_imf/pdf/tiegcm_res5.0_nov2003_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res5.0_whi2008_heelis_gpi
-
-    * :benchmarks_url:`days 081-106 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_heelis_gpi/pdf/tiegcm_res5.0_whi2008_heelis_gpi_days081-106_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 081-106 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_heelis_gpi/pdf/tiegcm_res5.0_whi2008_heelis_gpi_days081-106_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_heelis_gpi/pdf/tiegcm_res5.0_whi2008_heelis_gpi_days085-090_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_heelis_gpi/pdf/tiegcm_res5.0_whi2008_heelis_gpi_days085-090_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 88,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_heelis_gpi/pdf/tiegcm_res5.0_whi2008_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res5.0_whi2008_weimer_imf
-
-    * :benchmarks_url:`days 081-106 daily utvert <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_weimer_imf/pdf/tiegcm_res5.0_whi2008_weimer_imf_days081-106_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 081-106 daily utlat <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_weimer_imf/pdf/tiegcm_res5.0_whi2008_weimer_imf_days081-106_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utvert <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_weimer_imf/pdf/tiegcm_res5.0_whi2008_weimer_imf_days085-090_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utlat <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_weimer_imf/pdf/tiegcm_res5.0_whi2008_weimer_imf_days085-090_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 88,0,0 <tiegcm_res5.0_storms/tiegcm_res5.0_whi2008_weimer_imf/pdf/tiegcm_res5.0_whi2008_weimer_imf_singleut_select.pdf>`
-
-* 2.5-degree model resolution:
-
-  * tiegcm_res2.5_dec2006_heelis_gpi
-
-    * :benchmarks_url:`days 330-360 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_heelis_gpi/pdf/tiegcm_res2.5_dec2006_heelis_gpi_days330-360_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 330-360 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_heelis_gpi/pdf/tiegcm_res2.5_dec2006_heelis_gpi_days330-360_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_heelis_gpi/pdf/tiegcm_res2.5_dec2006_heelis_gpi_days347-352_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_heelis_gpi/pdf/tiegcm_res2.5_dec2006_heelis_gpi_days347-352_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 349,12,0 <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_heelis_gpi/pdf/tiegcm_res2.5_dec2006_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res2.5_dec2006_weimer_imf
-
-    * :benchmarks_url:`days 330-360 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_weimer_imf/pdf/tiegcm_res2.5_dec2006_weimer_imf_days330-360_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 330-360 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_weimer_imf/pdf/tiegcm_res2.5_dec2006_weimer_imf_days330-360_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_weimer_imf/pdf/tiegcm_res2.5_dec2006_weimer_imf_days347-352_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 347-352 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_weimer_imf/pdf/tiegcm_res2.5_dec2006_weimer_imf_days347-352_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 349,12,0 <tiegcm_res2.5_storms/tiegcm_res2.5_dec2006_weimer_imf/pdf/tiegcm_res2.5_dec2006_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res2.5_jul2000_heelis_gpi
-
-    * :benchmarks_url:`days 192-202 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_heelis_gpi/pdf/tiegcm_res2.5_jul2000_heelis_gpi_days192-202_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 192-202 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_heelis_gpi/pdf/tiegcm_res2.5_jul2000_heelis_gpi_days192-202_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_heelis_gpi/pdf/tiegcm_res2.5_jul2000_heelis_gpi_days195-200_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_heelis_gpi/pdf/tiegcm_res2.5_jul2000_heelis_gpi_days195-200_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 198,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_heelis_gpi/pdf/tiegcm_res2.5_jul2000_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res2.5_jul2000_weimer_imf
-
-    * :benchmarks_url:`days 192-202 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_weimer_imf/pdf/tiegcm_res2.5_jul2000_weimer_imf_days192-202_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 192-202 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_weimer_imf/pdf/tiegcm_res2.5_jul2000_weimer_imf_days192-202_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_weimer_imf/pdf/tiegcm_res2.5_jul2000_weimer_imf_days195-200_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 195-200 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_weimer_imf/pdf/tiegcm_res2.5_jul2000_weimer_imf_days195-200_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 198,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_jul2000_weimer_imf/pdf/tiegcm_res2.5_jul2000_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res2.5_nov2003_heelis_gpi
-
-    * :benchmarks_url:`days 323-328 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_heelis_gpi/pdf/tiegcm_res2.5_nov2003_heelis_gpi_days323-328_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_heelis_gpi/pdf/tiegcm_res2.5_nov2003_heelis_gpi_days323-328_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_heelis_gpi/pdf/tiegcm_res2.5_nov2003_heelis_gpi_days323-328_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_heelis_gpi/pdf/tiegcm_res2.5_nov2003_heelis_gpi_days323-328_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 325,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_heelis_gpi/pdf/tiegcm_res2.5_nov2003_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res2.5_nov2003_weimer_imf
-
-    * :benchmarks_url:`days 323-328 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_weimer_imf/pdf/tiegcm_res2.5_nov2003_weimer_imf_days323-328_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_weimer_imf/pdf/tiegcm_res2.5_nov2003_weimer_imf_days323-328_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_weimer_imf/pdf/tiegcm_res2.5_nov2003_weimer_imf_days323-328_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 323-328 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_weimer_imf/pdf/tiegcm_res2.5_nov2003_weimer_imf_days323-328_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 325,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_nov2003_weimer_imf/pdf/tiegcm_res2.5_nov2003_weimer_imf_singleut_select.pdf>`
-
-  * tiegcm_res2.5_whi2008_heelis_gpi
-
-    * :benchmarks_url:`days 081-106 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_heelis_gpi/pdf/tiegcm_res2.5_whi2008_heelis_gpi_days081-106_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 081-106 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_heelis_gpi/pdf/tiegcm_res2.5_whi2008_heelis_gpi_days081-106_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_heelis_gpi/pdf/tiegcm_res2.5_whi2008_heelis_gpi_days085-090_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_heelis_gpi/pdf/tiegcm_res2.5_whi2008_heelis_gpi_days085-090_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 88,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_heelis_gpi/pdf/tiegcm_res2.5_whi2008_heelis_gpi_singleut_select.pdf>`
-
-  * tiegcm_res2.5_whi2008_weimer_imf
-
-    * :benchmarks_url:`days 081-106 daily utvert <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_weimer_imf/pdf/tiegcm_res2.5_whi2008_weimer_imf_days081-106_daily_utvert_select.pdf>`
-    * :benchmarks_url:`days 081-106 daily utlat <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_weimer_imf/pdf/tiegcm_res2.5_whi2008_weimer_imf_days081-106_daily_utlat_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utvert <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_weimer_imf/pdf/tiegcm_res2.5_whi2008_weimer_imf_days085-090_hourly_utvert_select.pdf>`
-    * :benchmarks_url:`days 085-090 hourly utlat <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_weimer_imf/pdf/tiegcm_res2.5_whi2008_weimer_imf_days085-090_hourly_utlat_select.pdf>`
-    * :benchmarks_url:`singleut 88,0,0 <tiegcm_res2.5_storms/tiegcm_res2.5_whi2008_weimer_imf/pdf/tiegcm_res2.5_whi2008_weimer_imf_singleut_select.pdf>`
diff --git a/doc/postproc/conf.py b/doc/postproc/conf.py
deleted file mode 100644
index 17027b0..0000000
--- a/doc/postproc/conf.py
+++ /dev/null
@@ -1,233 +0,0 @@
-# -*- coding: utf-8 -*-
-#
-# tiegcm2.0 documentation build configuration file
-#
-# This file is execfile()d with the current directory set to its containing dir.
-#
-# Note that not all possible configuration values are present in this
-# autogenerated file.
-#
-# All configuration values have a default; values that are commented out
-# serve to show the default.
-
-import sys, os
-
-# If extensions (or modules to document with autodoc) are in another directory,
-# add these directories to sys.path here. If the directory is relative to the
-# documentation root, use os.path.abspath to make it absolute, like shown here.
-#sys.path.insert(0, os.path.abspath('.'))
-
-# -- General configuration -----------------------------------------------------
-
-# If your documentation needs a minimal Sphinx version, state it here.
-#needs_sphinx = '1.0'
-
-# Add any Sphinx extension module names here, as strings. They can be extensions
-# coming with Sphinx (named 'sphinx.ext.*') or your custom ones.
-extensions = ['sphinx.ext.extlinks']
-
-extlinks = {'base_url': ('http://download.hao.ucar.edu/pub/tgcm/tiegcm2.0/%s','base_url '),
-   'benchmarks_url':    ('http://download.hao.ucar.edu/pub/tgcm/tiegcm2.0/benchmarks/%s','benchmarks_url '),
-   'release_url':       ('http://download.hao.ucar.edu/pub/tgcm/tiegcm2.0/release/html/%s','release_url '),
-   'data_url':          ('http://download.hao.ucar.edu/pub/tgcm/data/tiegcm2.0/%s','data_url ')}
-
-# Add any paths that contain templates here, relative to this directory.
-templates_path = ['_templates']
-
-# The suffix of source filenames.
-source_suffix = '.rst'
-
-# The encoding of source files.
-#source_encoding = 'utf-8-sig'
-
-# The master toctree document.
-master_doc = 'index'
-
-# General information about the project.
-project = u'TIEGCM Release'
-copyright = u'2016, NCAR/HAO'
-
-# The version info for the project you're documenting, acts as replacement for
-# |version| and |release|, also used in various other places throughout the
-# built documents.
-#
-# The short X.Y version.
-version = '2.0'
-# The full version, including alpha/beta/rc tags.
-release = '2.0'
-
-rst_epilog = """
-.. |model| replace:: tiegcm
-.. |modeluc| replace:: TIEGCM
-.. |tgcm_version| replace:: tiegcm2.0
-.. |tgcm_version_uc| replace:: TIEGCM2.0
-.. |download_5.0data| replace:: tiegcm2.0_res5.0_data.tar.gz
-.. |download_2.5data| replace:: tiegcm2.0_res2.5_data.tar.gz
-.. |ncarsuper| replace:: yellowstone
-.. |ncarsuper_url| replace:: https://www2.cisl.ucar.edu/resources/yellowstone
-"""
-
-data_url = 'http://download.hao.ucar.edu/pub/tgcm/data/tiegcm2.0'
-
-# The language for content autogenerated by Sphinx. Refer to documentation
-# for a list of supported languages.
-#language = None
-
-# There are two options for replacing |today|: either, you set today to some
-# non-false value, then it is used:
-#today = ''
-# Else, today_fmt is used as the format for a strftime call.
-#today_fmt = '%B %d, %Y'
-
-# List of patterns, relative to source directory, that match files and
-# directories to ignore when looking for source files.
-exclude_patterns = ['_build','v1.95','save']
-
-# The reST default role (used for this markup: `text`) to use for all documents.
-#default_role = None
-
-# If true, '()' will be appended to :func: etc. cross-reference text.
-#add_function_parentheses = True
-
-# If true, the current module name will be prepended to all description
-# unit titles (such as .. function::).
-#add_module_names = True
-
-# If true, sectionauthor and moduleauthor directives will be shown in the
-# output. They are ignored by default.
-#show_authors = False
-
-# The name of the Pygments (syntax highlighting) style to use.
-pygments_style = 'sphinx'
-
-# A list of ignored prefixes for module index sorting.
-#modindex_common_prefix = []
-
-
-# -- Options for HTML output ---------------------------------------------------
-
-# The theme to use for HTML and HTML Help pages.  See the documentation for
-# a list of builtin themes.
-html_theme = 'default'
-
-# Theme options are theme-specific and customize the look and feel of a theme
-# further.  For a list of options available for each theme, see the
-# documentation.
-#html_theme_options = {}
-
-# Add any paths that contain custom themes here, relative to this directory.
-#html_theme_path = []
-
-# The name for this set of Sphinx documents.  If None, it defaults to
-html_title = "TIEGCM v2.0 Benchmark Results"
-#html_title = None
-
-# A shorter title for the navigation bar.  Default is the same as html_title.
-#html_short_title = None
-
-# The name of an image file (relative to this directory) to place at the top
-# of the sidebar.
-#html_logo = None
-
-# The name of an image file (within the static path) to use as favicon of the
-# docs.  This file should be a Windows icon file (.ico) being 16x16 or 32x32
-# pixels large.
-#html_favicon = None
-
-# Add any paths that contain custom static files (such as style sheets) here,
-# relative to this directory. They are copied after the builtin static files,
-# so a file named "default.css" will overwrite the builtin "default.css".
-html_static_path = ['_static']
-
-# If not '', a 'Last updated on:' timestamp is inserted at every page bottom,
-# using the given strftime format.
-#html_last_updated_fmt = '%b %d, %Y'
-
-# If true, SmartyPants will be used to convert quotes and dashes to
-# typographically correct entities.
-#html_use_smartypants = True
-
-# Custom sidebar templates, maps document names to template names.
-#html_sidebars = {}
-
-# Additional templates that should be rendered to pages, maps page names to
-# template names.
-#html_additional_pages = {}
-
-# If false, no module index is generated.
-#html_domain_indices = True
-
-# If false, no index is generated.
-#html_use_index = True
-
-# If true, the index is split into individual pages for each letter.
-#html_split_index = False
-
-# If true, links to the reST sources are added to the pages.
-#html_show_sourcelink = True
-
-# If true, "Created using Sphinx" is shown in the HTML footer. Default is True.
-#html_show_sphinx = True
-
-# If true, "(C) Copyright ..." is shown in the HTML footer. Default is True.
-#html_show_copyright = True
-
-# If true, an OpenSearch description file will be output, and all pages will
-# contain a <link> tag referring to it.  The value of this option must be the
-# base URL from which the finished HTML is served.
-#html_use_opensearch = ''
-
-# This is the file name suffix for HTML files (e.g. ".xhtml").
-#html_file_suffix = None
-
-# Output file base name for HTML help builder.
-htmlhelp_basename = 'tiegcm195doc'
-
-
-# -- Options for LaTeX output --------------------------------------------------
-
-# The paper size ('letter' or 'a4').
-#latex_paper_size = 'letter'
-
-# The font size ('10pt', '11pt' or '12pt').
-#latex_font_size = '10pt'
-
-# Grouping the document tree into LaTeX files. List of tuples
-# (source start file, target name, title, author, documentclass [howto/manual]).
-latex_documents = [
-  ('index', 'tiegcm20.tex', u'tiegcm2.0 Documentation',
-   u'NCAR/HAO', 'manual'),
-]
-
-# The name of an image file (relative to this directory) to place at the top of
-# the title page.
-#latex_logo = None
-
-# For "manual" documents, if this is true, then toplevel headings are parts,
-# not chapters.
-#latex_use_parts = False
-
-# If true, show page references after internal links.
-#latex_show_pagerefs = False
-
-# If true, show URL addresses after external links.
-#latex_show_urls = False
-
-# Additional stuff for the LaTeX preamble.
-#latex_preamble = ''
-
-# Documents to append as an appendix to all manuals.
-#latex_appendices = []
-
-# If false, no module index is generated.
-#latex_domain_indices = True
-
-
-# -- Options for manual page output --------------------------------------------
-
-# One entry per manual page. List of tuples
-# (source start file, name, description, authors, manual section).
-man_pages = [
-    ('index', 'tiegcm195', u'tiegcm2.0 Documentation',
-     [u'NCAR/HAO'], 1)
-]
diff --git a/doc/postproc/index.rst b/doc/postproc/index.rst
deleted file mode 100644
index 7455b14..0000000
--- a/doc/postproc/index.rst
+++ /dev/null
@@ -1,11 +0,0 @@
-
-|modeluc| Version |version| Benchmark Runs
-==========================================
-
-Contents:
-
-.. toctree::
-   :maxdepth: 2
-
-   benchmarks
-   links
diff --git a/doc/postproc/links.rst b/doc/postproc/links.rst
deleted file mode 100644
index b315f8e..0000000
--- a/doc/postproc/links.rst
+++ /dev/null
@@ -1,14 +0,0 @@
-
-
-Related TIEGCM Documents and Links
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-
-* `Main TGCM website <http://www.hao.ucar.edu/modeling/tgcm>`_
-
-* :base_url:`TIEGCM Release Documentation <release/html>` for version |version|.
-
-* :base_url:`TIEGCM User Guide <userguide/html>` for version |version|.
-
-* `Model Description <http://www.hao.ucar.edu/modeling/tgcm/doc/description/model_description.pdf>`_
-
-* `tgcmgroup email list <http://mailman.ucar.edu/mailman/listinfo/tgcmgroup>`_ 
diff --git a/doc/release/benchmarks.rst b/doc/release/benchmarks.rst
index 2626a4b..fb12bbd 100644
--- a/doc/release/benchmarks.rst
+++ b/doc/release/benchmarks.rst
@@ -4,11 +4,6 @@
 |modeluc| Version |version| Benchmark Runs
 ==========================================
 
-.. note::
-
-  Benchmark results (pdf plot files) for version |tgcm_version| are available here: 
-  :base_url:`Post-processing of TIEGCM benchmarks <postproc/html/benchmarks.html>`
-
 Benchmark runs are provided in three groups: full-year climatology, seasonal, and solar storm events.
 Here is a table of runs at 2.5-degree model resolution (there is also a set at the 5-degree resolution)::
  
@@ -71,11 +66,6 @@ Here is a table of runs at 2.5-degree model resolution (there is also a set at t
 Selected Results of |tgcm_version_uc| Benchmark Runs 
 ----------------------------------------------------
 
-.. note::
-
-  Benchmark results (pdf plot files) for version |tgcm_version| are available here: 
-  :base_url:`Post-processing of TIEGCM benchmarks <postproc/html/benchmarks.html>`
-
 Results of the benchmark runs are available in 2d plots of time series, grid slices, and maps.
 These are multi-page PDF files, arranged as follows:
 
diff --git a/doc/release/conf.py b/doc/release/conf.py
index 6a051f3..445b311 100644
--- a/doc/release/conf.py
+++ b/doc/release/conf.py
@@ -45,7 +45,7 @@
 
 # General information about the project.
 project = u'TIEGCM Release'
-copyright = u'2016, NCAR High Altitude Observatory'
+copyright = u'2016, NCAR/HAO'
 
 # The version info for the project you're documenting, acts as replacement for
 # |version| and |release|, also used in various other places throughout the
@@ -196,7 +196,7 @@
 # (source start file, target name, title, author, documentclass [howto/manual]).
 latex_documents = [
   ('index', 'tiegcm20.tex', u'tiegcm2.0 Documentation',
-   u'NCAR High Altitude Observatory', 'manual'),
+   u'NCAR/HAO', 'manual'),
 ]
 
 # The name of an image file (relative to this directory) to place at the top of
@@ -229,5 +229,5 @@
 # (source start file, name, description, authors, manual section).
 man_pages = [
     ('index', 'tiegcm195', u'tiegcm2.0 Documentation',
-     [u'NCAR High Altitude Observatory'], 1)
+     [u'NCAR/HAO'], 1)
 ]
diff --git a/doc/userguide/benchmarks.rst b/doc/userguide/benchmarks.rst
index b709a26..5923773 100644
--- a/doc/userguide/benchmarks.rst
+++ b/doc/userguide/benchmarks.rst
@@ -7,7 +7,7 @@ Benchmark Runs
 .. note::
 
   Benchmark results (pdf plot files) for version |tgcm_version| are available here: 
-  :base_url:`Post-processing of TIEGCM benchmarks <postproc/html/benchmarks.html>`
+  :base_url:`Release Benchmarks Results <release/html/benchmarks.html>`
 
 A series of benchmark runs are made for each major release of the |model|
 These runs (for |tgcm_version|) were made using the python scripts in the 
diff --git a/doc/userguide/conf.py b/doc/userguide/conf.py
index 6f3a018..1280dcb 100644
--- a/doc/userguide/conf.py
+++ b/doc/userguide/conf.py
@@ -50,7 +50,7 @@
 
 # General information about the project.
 project = u'TIEGCM'
-copyright = u'2016, NCAR High Altitude Observatory'
+copyright = u'2016, NCAR/HAO'
 
 # The version info for the project you're documenting, acts as replacement for
 # |version| and |release|, also used in various other places throughout the
@@ -199,7 +199,7 @@
 # (source start file, target name, title, author, documentclass [howto/manual]).
 latex_documents = [
   ('index', 'TIEGCM.tex', u'TIEGCM Documentation',
-   u'NCAR High Altitude Observatory', 'manual'),
+   u'Ben Foster', 'manual'),
 ]
 
 # The name of an image file (relative to this directory) to place at the top of
@@ -232,5 +232,5 @@
 # (source start file, name, description, authors, manual section).
 man_pages = [
     ('index', 'tiegcm', u'TIEGCM Documentation',
-     [u'NCAR High Altitude Observatory'], 1)
+     [u'Ben Foster'], 1)
 ]
diff --git a/doc/userguide/diags.rst b/doc/userguide/diags.rst
index 53cc1f1..5d3da9f 100644
--- a/doc/userguide/diags.rst
+++ b/doc/userguide/diags.rst
@@ -1462,6 +1462,9 @@ Details of Diagnostic Field Calculations
 
    Sample images: ALFA polar projection 
 
+   .. image:: _static/images/diags/alfa.png
+      :align: center
+
    :ref:`Back to diagnostics table <diag_fields>`
 
 --------------------------------------------------------------------------------------------
diff --git a/doc/userguide/grid.rst b/doc/userguide/grid.rst
index e89af4e..22549fd 100644
--- a/doc/userguide/grid.rst
+++ b/doc/userguide/grid.rst
@@ -141,14 +141,14 @@ as what is used in, e.g., tropospheric meteorology, because it is referenced to
 g that is different from the value of g at the surface (~980 cm/s2).
 
 We can correct the geopotential height z to obtain geometric height zg.  This is performed 
-inside the models by subroutine calczg (addiag.F), using an empirical formulation of the 
-variation of g over the globe (including centripetal force), and vertical integration, to 
-account for the variation with altitude.  It can also be done, using the same subroutine, 
-in the Fortran model processers, and is also available in various IDL processing routines.  
-Geometric height ZG is now forced onto secondary histories (i.e., it is output whether you 
+inside the models by subroutine zgcalc, using an empirical formulation of the variation of 
+g over the globe (including centripetal force), and vertical integration, to account for 
+the variation with altitude.  It can also be done, using the same subroutine, in the 
+Fortran model processers, and is also available in various IDL processing routines.  
+Geometric height zg is now forced onto secondary histories (i.e., it is output whether you 
 request it or not) but not on primary histories (because primary histories contain only 
 what is necessary to re-start the model).  However, some older secondary history files 
-may not include ZG which necessitates that it be calculated in the post-processing if 
+may not include zg which necessitates that it be calculated in the post-processing if 
 needed for data comparison.
 
 Now we come to the final complication, which is the distinction between model interfaces 
@@ -169,8 +169,8 @@ Specified at  I   I   M   M   M   M   M   M   M   M   M   M   M   I   M   M   I
 In order to register midpoint quantities in altitude, it is therefore necessary to 
 interpolate from the midpoints to the interfaces.  Alternatively, it may be simpler 
 to interpolate zg from the interfaces to the midpoints.  For TIE-GCM 2.0, a new output 
-variable has been added, ZGMID, which is geometric height that has been interpolated to 
-the mid points.  However, older history files do not include ZGMID.  As with ZG, it is 
+variable has been added, zm, which is geometric height that has been interpolated to 
+the mid points.  However, older history files do not include zm.  As with zg, it is 
 available on secondary histories but not on primary histories.
 
 In output histories, quantities specified at interfaces are defined by the ilev 
@@ -178,21 +178,3 @@ coordinate variable and quantities specified at midpoints are defined by the lev
 coordinate variable.  These quantities are generally numerically identical, but their 
 definitions in the files can serve as a reminder of what is defined where. 
 
-Height-related Variables on |modeluc| Secondary Histories:
-
-.. note::
-
- Variables Z, ZG, and ZMAG are forced onto secondary histories. To save ZGMID to
- secondary histories, add ZGMID to the fields list in the namelist input file:
- SECFLDS='ZGMID'
-
-============== ============================================
-Variable Name  Description
-============== ============================================
-Z              Geopotential Height (cm)
-ZG             Geometric Height (cm)
-ZGMID          Geometric Height at Midpoints (cm)
-ZMAG           Geopotential Height on Geomagnetic Grid (km)
-============== ============================================
-
-
diff --git a/doc/userguide/intro.rst b/doc/userguide/intro.rst
index 297a1ca..24474d2 100644
--- a/doc/userguide/intro.rst
+++ b/doc/userguide/intro.rst
@@ -12,17 +12,12 @@ part of their research.  We also welcome development efforts on the model
 itself, subject to the Academic Research License Agreement
 :download:`tiegcmlicense.txt <_static/tiegcmlicense.txt>`.
 
-.. _tiegcm_links:
-
-Related TIEGCM Documents and Links
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+For more information about the TIEGCM and other related models, please see:
 
 * `Main TGCM website <http://www.hao.ucar.edu/modeling/tgcm>`_
 
 * :base_url:`TIEGCM Release Documentation <release/html>` for version |version|.
 
-* :base_url:`TIEGCM Benchmark Results <postproc/html/benchmarks.html>` for version |version|.
-
 * `Model Description <http://www.hao.ucar.edu/modeling/tgcm/doc/description/model_description.pdf>`_
 
 * `tgcmgroup email list <http://mailman.ucar.edu/mailman/listinfo/tgcmgroup>`_ 
diff --git a/scripts/Make.gfort_hao64 b/scripts/Make.gfort_hao64
deleted file mode 100644
index 53ab0e3..0000000
--- a/scripts/Make.gfort_hao64
+++ /dev/null
@@ -1,54 +0,0 @@
-#
-# Included makefile for building tiegcm with gfortran compiler on Linux desktop. 
-# Using GNU Fortran (GCC) 4.4.7 20120313 (Red Hat 4.4.7-16)
-#
-F90    = /usr/bin/gfortran
-MPIF90 = /usr/lib64/openmpi/bin/mpif90
-MPIRUN = /usr/lib64/openmpi/bin/mpirun
-FFLAGS = -fdefault-real-8
-FFLAGS += -fno-range-check # required for sub check_nans in util.F
-OPTIM   = -O3
-#
-# btf 12/16/15: Model crashes with FPE in qrj.F if built with 
-#               these debug flags:
-#
-DBGFLAGS   = -ffpe-trap=invalid,zero,overflow,underflow
-DBGFLAGS   += -fbounds-check -fdump-core -fbacktrace
-#
-# Library and Include file paths:
-#
-# These "generic" settings for netcdf do not work with gfort:
-#/opt/local/netcdf/linux86-64/lib/libnetcdf.a(fort-vario.o):(.data+0x0): undefined reference to `__pgdbg_stub'
-#
-#LIB_NETCDF = /opt/local/netcdf/linux86-64/lib
-#INC_NETCDF = /opt/local/netcdf/linux86-64/include
-#
-# These settings (netcdf 4.1.1) for netcdf work with gfortran:
-#
-LIB_NETCDF = /home/tgcm/intel/netcdf-4.1.1/lib
-INC_NETCDF = /home/tgcm/intel/netcdf-4.1.1/include
-#
-# Makefile will include $(LIB_ESMF)/esmf.mk
-# This ESMF lib was built with gfortran/openmpi with /usr/lib64/openmpi/bin/mpif90
-#
-LIB_ESMF = /home/tgcm/esmf/gfort/esmf_6_3_0rp1/lib/libO/Linux.gfortran.64.openmpi.default
-LIBS     = -lcurl
-#
-HOST     = $(shell hostname)
-#
-# Make machines.ini file for MPI execution: 
-#
-prereq: machines.ini mpirun.command
-machines.ini: export HN=$(HOST)
-machines.ini: export NP=$(NPROC)
-machines.ini: FORCE
-	@echo "Making machines.ini.."
-	@echo `hostname` > machines.ini
-	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
-
-mpirun.command: FORCE
-	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
-	@echo $(MPIRUN) > mpirun.command
-
-FORCE:
-
diff --git a/scripts/Make.gfort_palmetto b/scripts/Make.gfort_palmetto
new file mode 100644
index 0000000..0dbdd00
--- /dev/null
+++ b/scripts/Make.gfort_palmetto
@@ -0,0 +1,51 @@
+#
+# Included makefile for GNU gfortran compiler on Clemson palmetto:
+# palmetto is using gfortran 9.5.0
+#
+MPIF90 = mpifort
+MPIRUN = mpirun
+FFLAGS = -fdefault-real-8 -fno-range-check
+#
+# See https://docs.rcd.clemson.edu/palmetto/
+#FFLAGS += -mcmodel=medium
+#
+# DBGFLAGS are used by the Makefile only if the job script
+# has "set debug = true"
+#
+DBGFLAGS = -Og -fcheck=all -fbacktrace
+DBGFLAGS += -Wall -Wextra
+DBGFLAGS += -Wpedantic -Wcharacter-truncation -Wconversion-extra
+DBGFLAGS += -Wfrontend-loop-interchange -Wimplicit-interface -Wimplicit-procedure
+DBGFLAGS += -Wuse-without-only -Walign-commons -Wrealloc-lhs -Wrealloc-lhs-all
+#
+# -ffpe-trap=invalid,zero,overflow traps all floating point exceptions.
+# The model is not guaranteed not to crash if this option is set.
+#
+#DBGFLAGS += -ffpe-trap=invalid,zero,overflow
+#
+# Makefile will use OPTIM = -g if set debug=TRUE in job script.
+OPTIM    = -O2
+LIBS     = -lcurl
+HOST     = $(shell hostname)
+#
+# Library and Include file paths:
+#
+# ESMF lib on palmetto:
+# (Makefile does "include $(ESMFMKFILE)")
+ESMFMKFILE = /zfs/luatmos/software/lib/libO/Linux.gfortran.64.openmpi.default/esmf.mk
+#
+# Make machines.ini file for MPI execution:
+#
+prereq: machines.ini mpirun.command
+machines.ini: export HN=$(HOST)
+machines.ini: export NP=$(NPROC)
+machines.ini: FORCE
+	@echo "Making machines.ini.."
+	@echo `hostname` > machines.ini
+	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
+
+mpirun.command: FORCE
+	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
+	@echo $(MPIRUN) > mpirun.command
+
+FORCE:
diff --git a/scripts/Make.intel_ch b/scripts/Make.intel_ch
index 79c82ff..87f774e 100644
--- a/scripts/Make.intel_ch
+++ b/scripts/Make.intel_ch
@@ -1,44 +1,37 @@
 #
-# Included makefile for Intel ifort compiler on NCAR yellowstone:
-# As of December 2015, yellowstone is using intel 12.1.5.
+# Included makefile for Intel ifort compiler on NCAR cheyenne:
+# cheyenne is using intel 19.1.1
 #
-F90      = ifort
-MPIF90   = mpif90
-MPIRUN   = mpiexec_mpt
-FFLAGS   = -r8 -heap-arrays
+MPIF90 = mpif90
+MPIRUN = mpiexec_mpt
+FFLAGS = -r8
 #
-# See https://www2.cisl.ucar.edu/resources/computational-systems/cheyenne/code-development-support
-#FFLAGS += 
+# See https://arc.ucar.edu/knowledge_base/72581227
+#FFLAGS += -mcmodel=medium
 #
 # DBGFLAGS are used by the Makefile only if the job script
 # has "set debug = true"
 #
-DBGFLAGS = -debug full -debug extended -traceback 
-DBGFLAGS += -check bounds -check format -check output_conversion -check pointers -check uninit
+DBGFLAGS = -debug full,extended -traceback
+DBGFLAGS += -check all,noarg_temp_created -fp-stack-check
+DBGFLAGS += -warn all -nogen-interfaces
 #
-# -fpe-all=0 traps all floating point exceptions. The model is not
-#   guaranteed not to crash if this option is set.
-# -nowarn is used to eliminate warnings that result in huge stderr files.
+# -fpe-all=0 traps all floating point exceptions.
+# The model is not guaranteed not to crash if this option is set.
 #
-DBGFLAGS += -fpe-all=0 -nowarn 
+#DBGFLAGS += -fpe-all=0
 #
 # Makefile will use OPTIM = -g if set debug=TRUE in job script.
-OPTIM    = -O3
+OPTIM    = -O2
 LIBS     = -lcurl
 HOST     = $(shell hostname)
 #
 # Library and Include file paths:
 #
-# ESMF lib on yellowstone:
-# (tiegcm-ch.job does "module load esmf_libs/7.0.0")
+# ESMF lib on cheyenne:
+# (tiegcm-ch.job does "module load esmf_libs/8.3.0")
 #
-#ESMF_LIBDIR = /glade/u/apps/ch/opt/esmf/7.0.0-ncdfio-mpi/intel/16.0.3/lib/libO/Linux.intel.64.mpi.default
-export ESMF_LIBDIR
-LIB_ESMF = $(ESMF_LIBDIR)
-include $(LIB_ESMF)/esmf.mk
-LIBS = -L$(LIB_ESMF) -Wl,-rpath=$(LIB_ESMF) -lesmf
-#
-# Make machines.ini file for MPI execution: 
+# Make machines.ini file for MPI execution:
 #
 prereq: machines.ini mpirun.command
 machines.ini: export HN=$(HOST)
diff --git a/scripts/Make.intel_ch_debug b/scripts/Make.intel_ch_debug
new file mode 100644
index 0000000..5146727
--- /dev/null
+++ b/scripts/Make.intel_ch_debug
@@ -0,0 +1,57 @@
+#
+# Included makefile for Intel ifort compiler on NCAR yellowstone:
+# As of 2022, cheyenne is using intel 19.1.1
+#
+F90      = ifort
+MPIF90   = mpif90
+MPIRUN   = mpiexec_mpt
+FFLAGS   = -r8 -heap-arrays -mcmodel=medium
+#
+# See https://www2.cisl.ucar.edu/resources/computational-systems/cheyenne/code-development-support
+#FFLAGS += 
+#
+# DBGFLAGS are used by the Makefile only if the job script
+# has "set debug = true"
+#
+#DBGFLAGS = -g -Og -warn all -check all,noarg_temp_created -debug full,extended -nogen-interfaces -traceback
+DBGFLAGS =  -zmuldefs -Wl,--wrap=dlopen,--wrap=dlclose,--allow-multiple-definition,--undefined=malloc /glade/u/apps/opt/arm-forge/22.1.0/lib/64/libdmallocth.a -L/glade/u/apps/opt/arm-forge/22.1.0/lib/64/ -ldmallocth  -debug-parameters -g -traceback -check bounds -check uninit -debug all -gen-interfaces -warn interfaces -fp-stack-check
+#DBGFLAGS += -Wl,--wrap=dlopen,--wrap=dlclose,--allow-multiple-definition,--undefined=malloc /glade/u/apps/opt/arm-forge/22.1.0/lib/64/libdmallocth.a
+#DBGFLAGS +=  -L/glade/u/apps/opt/arm-forge/22.1.0/lib/64/libdmallocth.so
+#
+# -fpe-all=0 traps all floating point exceptions. The model is not
+#   guaranteed not to crash if this option is set.
+# -nowarn is used to eliminate warnings that result in huge stderr files.
+#
+#DBGFLAGS += -fpe-all=0 -nowarn 
+#
+# Makefile will use OPTIM = -g if set debug=TRUE in job script.
+OPTIM    = -O2 -march=corei7 -axCORE-AVX2
+LIBS     = -lcurl
+HOST     = $(shell hostname)
+#
+# Library and Include file paths:
+#
+# ESMF lib on cheyenne:
+# (tiegcm-ch.job does "module load esmf_libs/7.0.0")
+#
+#ESMF_LIBDIR = /glade/u/apps/ch/opt/esmf/7.0.0-ncdfio-mpi/intel/16.0.3/lib/libO/Linux.intel.64.mpi.default
+export ESMF_LIBDIR
+LIB_ESMF = $(ESMF_LIBDIR)
+include $(LIB_ESMF)/esmf.mk
+LIBS = -zmuldefs -L$(LIB_ESMF) -Wl,-rpath=$(LIB_ESMF) -lesmf -Wl,--wrap=dlopen,--wrap=dlclose,--allow-multiple-definition,--undefined=malloc /glade/u/apps/opt/arm-forge/22.1.0/lib/64/libdmallocth.a -L/glade/u/apps/opt/arm-forge/22.1.0/lib/64/ -ldmallocth  -debug-parameters $(DBGFLAGS) -ldl
+#
+# Make machines.ini file for MPI execution: 
+#
+prereq: machines.ini mpirun.command
+machines.ini: export HN=$(HOST)
+machines.ini: export NP=$(NPROC)
+machines.ini: FORCE
+	@echo "Making machines.ini.."
+	@echo `hostname` > machines.ini
+	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
+
+mpirun.command: FORCE
+	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
+	@echo $(MPIRUN) > mpirun.command
+
+FORCE:
diff --git a/scripts/Make.intel_de b/scripts/Make.intel_de
new file mode 100644
index 0000000..a59d470
--- /dev/null
+++ b/scripts/Make.intel_de
@@ -0,0 +1,48 @@
+#
+# Included makefile for Intel ifort compiler on NCAR derecho:
+# derecho is using intel 2021.8.0
+#
+MPIF90 = mpif90
+MPIRUN = mpirun
+FFLAGS = -r8
+#
+# See https://arc.ucar.edu/knowledge_base/72581227
+#FFLAGS += -mcmodel=medium
+#
+# DBGFLAGS are used by the Makefile only if the job script
+# has "set debug = true"
+#
+DBGFLAGS = -debug full,extended -traceback
+DBGFLAGS += -check all,noarg_temp_created -fp-stack-check
+DBGFLAGS += -warn all -nogen-interfaces
+#
+# -fpe-all=0 traps all floating point exceptions.
+# The model is not guaranteed not to crash if this option is set.
+#
+#DBGFLAGS += -fpe-all=0
+#
+# Makefile will use OPTIM = -g if set debug=TRUE in job script.
+OPTIM    = -O2
+LIBS     = -lcurl
+HOST     = $(shell hostname)
+#
+# Library and Include file paths:
+#
+# ESMF lib on derecho:
+# (tiegcm-de.job does "module load esmf/8.5.0")
+#
+# Make machines.ini file for MPI execution:
+#
+prereq: machines.ini mpirun.command
+machines.ini: export HN=$(HOST)
+machines.ini: export NP=$(NPROC)
+machines.ini: FORCE
+	@echo "Making machines.ini.."
+	@echo `hostname` > machines.ini
+	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
+
+mpirun.command: FORCE
+	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
+	@echo $(MPIRUN) > mpirun.command
+
+FORCE:
diff --git a/scripts/Make.intel_hao64 b/scripts/Make.intel_hao64
deleted file mode 100644
index d990078..0000000
--- a/scripts/Make.intel_hao64
+++ /dev/null
@@ -1,41 +0,0 @@
-#
-# Included makefile for Intel ifort compiler with openmpi on 64-bit HAO machines.
-# Intel ifort (IFORT) 12.0.0 20101006
-#
-F90      = /opt/local/intel2011/composerxe-2011.0.084/bin/intel64/ifort
-MPIF90   = /opt/local/intel2011/impi/4.0.1.007/intel64/bin/mpif90 -fc=ifort
-MPIRUN   = /opt/local/intel2011/impi/4.0.1.007/intel64/bin/mpirun -l -s all
-FFLAGS   = -r8 -heap-arrays
-DBGFLAGS = -debug full -traceback 
-DBGFLAGS += -check bounds -check format -check output_conversion -check pointers -check uninit
-DBGFLAGS += -fpe-all=0 # this traps all floating point exceptions
-#
-# Makefile will use OPTIM = -g if set debug=TRUE in job script.
-OPTIM    = -O3
-LIBS     = -lcurl
-HOST     = $(shell hostname)
-#
-# Library and Include file paths:
-#
-LIB_NETCDF = /home/tgcm/intel/netcdf-4.1.1/lib
-INC_NETCDF = /home/tgcm/intel/netcdf-4.1.1/include
-#
-# This public release of ESMF was built at hao with intel on Dec 22, 2015:
-#
-LIB_ESMF = /home/tgcm/esmf/intel/esmf_6_3_0rp1/lib/libO/Linux.intel.64.intelmpi.default
-#
-# Make machines.ini file for MPI execution: 
-#
-prereq: machines.ini mpirun.command
-machines.ini: export HN=$(HOST)
-machines.ini: export NP=$(NPROC)
-machines.ini: FORCE
-	@echo "Making machines.ini.."
-	@echo `hostname` > machines.ini
-	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
-
-mpirun.command: FORCE
-	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
-	@echo $(MPIRUN) > mpirun.command
-
-FORCE:
diff --git a/scripts/Make.intel_linux b/scripts/Make.intel_linux
new file mode 100644
index 0000000..562b166
--- /dev/null
+++ b/scripts/Make.intel_linux
@@ -0,0 +1,47 @@
+#
+# Included makefile for Intel ifort compiler with openmpi on 64-bit Linux machines.
+#
+MPIF90 = mpif90
+MPIRUN = mpirun
+FFLAGS = -r8
+#
+#FFLAGS += -mcmodel=medium
+#
+# DBGFLAGS are used by the Makefile only if the job script
+# has "set debug = true"
+#
+DBGFLAGS = -debug full,extended -traceback
+DBGFLAGS += -check all,noarg_temp_created -fp-stack-check
+DBGFLAGS += -warn all -nogen-interfaces
+#
+# -fpe-all=0 traps all floating point exceptions.
+# The model is not guaranteed not to crash if this option is set.
+#
+#DBGFLAGS += -fpe-all=0
+#
+# Makefile will use OPTIM = -g if set debug=TRUE in job script.
+OPTIM    = -O2
+LIBS     = -lcurl
+HOST     = $(shell hostname)
+#
+# Library and Include file paths:
+#
+# ESMF lib:
+# (Makefile does "include $(ESMFMKFILE)")
+ESMFMKFILE = /usr/local/esmf/lib/libO/Linux.intel.64.intelmpi.default/esmf.mk
+#
+# Make machines.ini file for MPI execution:
+#
+prereq: machines.ini mpirun.command
+machines.ini: export HN=$(HOST)
+machines.ini: export NP=$(NPROC)
+machines.ini: FORCE
+	@echo "Making machines.ini.."
+	@echo `hostname` > machines.ini
+	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
+
+mpirun.command: FORCE
+	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
+	@echo $(MPIRUN) > mpirun.command
+
+FORCE:
diff --git a/scripts/Make.intel_ys b/scripts/Make.intel_ys
deleted file mode 100644
index a4fe19e..0000000
--- a/scripts/Make.intel_ys
+++ /dev/null
@@ -1,52 +0,0 @@
-#
-# Included makefile for Intel ifort compiler on NCAR yellowstone:
-# As of December 2015, yellowstone is using intel 12.1.5.
-#
-F90      = ifort
-MPIF90   = mpif90
-MPIRUN   = mpirun.lsf
-FFLAGS   = -r8 -heap-arrays
-#
-# See http://www2.cisl.ucar.edu/resources/yellowstone/code_dev/compiling#where
-#FFLAGS += -march=corei7 -axAVX
-#
-# DBGFLAGS are used by the Makefile only if the job script
-# has "set debug = true"
-#
-DBGFLAGS = -debug full -debug extended -traceback 
-DBGFLAGS += -check bounds -check format -check output_conversion -check pointers -check uninit
-#
-# -fpe-all=0 traps all floating point exceptions. The model is not
-#   guaranteed not to crash if this option is set.
-# -nowarn is used to eliminate warnings that result in huge stderr files.
-#
-DBGFLAGS += -fpe-all=0 -nowarn 
-#
-# Makefile will use OPTIM = -g if set debug=TRUE in job script.
-OPTIM    = -O3
-LIBS     = -lcurl
-HOST     = $(shell hostname)
-#
-# ESMF lib on yellowstone:
-# (tiegcm-ys.job does "module load esmf")
-#
-export ESMF_LIBDIR
-LIB_ESMF = $(ESMF_LIBDIR)
-include $(LIB_ESMF)/esmf.mk
-LIBS = -L$(LIB_ESMF) -Wl,-rpath=$(LIB_ESMF) -lesmf
-#
-# Make machines.ini file for MPI execution: 
-#
-prereq: machines.ini mpirun.command
-machines.ini: export HN=$(HOST)
-machines.ini: export NP=$(NPROC)
-machines.ini: FORCE
-	@echo "Making machines.ini.."
-	@echo `hostname` > machines.ini
-	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
-
-mpirun.command: FORCE
-	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
-	@echo $(MPIRUN) > mpirun.command
-
-FORCE:
diff --git a/scripts/Make.pgi_hao64 b/scripts/Make.pgi_hao64
deleted file mode 100644
index 67af3db..0000000
--- a/scripts/Make.pgi_hao64
+++ /dev/null
@@ -1,42 +0,0 @@
-#
-# Included makefile for PGI compiler on 64-bit HAO Linux desktops.
-# Using pgf90 9.0-4 64-bit target on x86-64 Linux -tp nehalem-64
-#
-F90      = pgf90
-MPIF90   = /opt/local/pgi-9.04/linux86-64/9.0/mpi/mpich/bin/mpif90
-MPIRUN   = /opt/local/pgi-9.04/linux86-64/9.0/mpi/mpich/bin/mpirun
-
-#MPIF90   = /opt/local/pgi-15.5/linux86-64/2015/mpi/mpich/bin/mpif90
-#MPIRUN   = /opt/local/pgi-15.5/linux86-64/2015/mpi/mpich/bin/mpirun
-
-FFLAGS   = -r8
-DBGFLAGS = -C -Mchkstk -Mpgicoff -traceback
-#
-# Makefile will use OPTIM = -g if set debug=TRUE in job script.
-OPTIM    = -O3
-LIBS     = -lhdf5_hl -lhdf5 -lsz -L/usr/lib64 -lz
-HOST     = $(shell hostname)
-#
-# Library and Include file paths:
-#
-LIB_NETCDF = /opt/local/netcdf/linux86-64/lib
-INC_NETCDF = /opt/local/netcdf/linux86-64/include
-#
-LIB_ESMF = /home/tgcm/esmf/pgi-9.04/lib/libO/Linux.pgi.64.mpich.default
-include $(LIB_ESMF)/esmf.mk
-#
-# Make machines.ini file for MPI execution: 
-#
-prereq: machines.ini mpirun.command
-machines.ini: export HN=$(HOST)
-machines.ini: export NP=$(NPROC)
-machines.ini: FORCE
-	@echo "Making machines.ini.."
-	@echo `hostname` > machines.ini
-	@awk 'BEGIN{ for (i=2; i <= ENVIRON["NP"]; i++) print ENVIRON["HN"] }' >> machines.ini
-
-mpirun.command: FORCE
-	@echo "Making mpirun.command: MPIRUN=$(MPIRUN)"
-	@echo $(MPIRUN) > mpirun.command
-
-FORCE:
diff --git a/scripts/Makefile b/scripts/Makefile
index b5f172c..5335377 100644
--- a/scripts/Makefile
+++ b/scripts/Makefile
@@ -2,17 +2,13 @@
 # On Input:
 #   File Srcfiles contains list of source files
 #   File $(MAKE_MACHINE) (e.g. generic_hao64) contains compiler specific Make vars
-#     F90: f90 compiler (e.g., pgf90, ifort, etc)
 #     MPIF90: f90 compiler for MPI jobs (e.g., mpif90)
 #     FFLAGS: compiler flags (e.g., -r8)
-#     OPTIM: optimization flag (e.g., -O3)
+#     OPTIM: optimization flag (e.g., -O2)
 #     DBGFLAGS: Debug flags
-#     INC_NETCDF: Include directory for netcdf
-#     LIB_NETCDF: Library directory for netcdf
 #   File Make.env contains additional information from the job script
-#     MAKE_MACHINE: File containing machine-specific compiler flags, etc          
+#     MAKE_MACHINE: File containing machine-specific compiler flags, etc
 #     DIRS:     List of source-code directories (in Make.env)
-#     MPI:      TRUE or FALSE
 #     EXECNAME: Name of executable to make
 #     DEBUG:    TRUE or FALSE
 #
@@ -29,38 +25,27 @@ space    := $(null) $(null)
 
 OS        := $(shell uname -s)
 VPATH     := $(subst $(space),:,$(DIRS))
-INC_DIRS  := $(foreach dir,$(DIRS),-I$(dir)) -I$(INC_NETCDF)
+INC_DIRS  := $(foreach dir,$(DIRS),-I$(dir))
 SOURCES   := $(shell cat Srcfiles)
 OBJS      := $(addsuffix .o, $(basename $(SOURCES)))
 # LIBS may be specified in Make.machine file, so append here
-LIBS      += -L$(LIB_NETCDF) -lnetcdf 
-COUPLING  := NO
-FC        := $(F90)
+LIBS      += -lnetcdff
+FC        := $(MPIF90)
 
-# Add ESMF stuff (LIB_ESMF is set in MAKE_MACHINE)
+# Add ESMF stuff
 # See also targets below for source files that depend on esmf.
-ifeq ($(MPIRUN),mpiexec_mpt)
 LIBS += -lesmf
-else
-LIBS += -L $(LIB_ESMF) -lesmf
-endif
 
-include $(LIB_ESMF)/esmf.mk
+
+include $(ESMFMKFILE)
 INC_DIRS += $(ESMF_F90COMPILEPATHS)
 LDFLAGS  += $(ESMF_F90LINKOPTS) $(ESMF_F90LINKPATHS) $(ESMF_F90LINKRPATHS)
 LDFLAGS  += $(ESMF_F90ESMFLINKLIBS)
 #
 # With gfortran compiler, esmf compiler is mpifort instead of mpif90,
-# so force it to use $(MPIF90), which is set by Make.gfort_hao64.
+# so force it to use $(MPIF90), which is set by Make.machine.
 #
-ifeq ($(F90),/usr/bin/gfortran)
-  ESMF_F90COMPILER = $(MPIF90)
-  @echo "set ESMF_F90COMPILER = $(ESMF_F90COMPILER)"
-endif
-# On cheyenne set esmf compiler to mpif90
-ifeq ($(MPIRUN),mpiexec_mpt)
-  ESMF_F90COMPILER = $(MPIF90)
-endif
+ESMF_F90COMPILER = $(MPIF90)
 #
 Depends::
 	@echo "OS           =$(OS)" 
@@ -69,10 +54,8 @@ Depends::
 	@echo "INC_DIRS     =$(INC_DIRS)"
 	@echo "VPATH        =$(VPATH)"
 	@echo "FC           =$(FC)"
-	@echo "MPI          =$(MPI)"
-	@echo "LIB_NETCDF   =$(LIB_NETCDF)"
-	@echo "INC_NETCDF   =$(INC_NETCDF)"
 	@echo "EXECNAME     =$(EXECNAME)"
+	@echo "COUPLING     =$(COUPLING)"
 	@echo "DEBUG        =$(DEBUG)"
 	perl mkdepends $(DIRS)
 	$(MAKE) $(EXECNAME)
@@ -90,15 +73,8 @@ $(EXECNAME): $(OBJS)
 	$(FC) -o $@ $(OBJS) $(LIBS) $(LDFLAGS)
 
 CPPFLAGS := $(null)
-ifeq ($(MPI),TRUE)
-  CPPFLAGS += -DMPI
-  FC := $(MPIF90)
-endif
-ifeq ($(COUPLING), INTERCOMM)
-  CPPFLAGS += -DINTERCOMM
-endif
-ifeq ($(COUPLING), ADHOC)
-  CPPFLAGS += -DCISMAH
+ifeq ($(COUPLING),TRUE)
+  CPPFLAGS += -DGAMERA
 endif
 ifeq ($(DEBUG),TRUE)
   CPPFLAGS += -DDEBUG
@@ -138,4 +114,3 @@ veryclean:
 	rm -f Depends Srcfiles *.o *.mod $(EXECNAME) Makefile Make.env $(MAKE_MACHINE) machines.ini mkdepends defs.h cwd fort*
 
 include Depends
-
diff --git a/scripts/README b/scripts/README
index db9f278..90ce04e 100644
--- a/scripts/README
+++ b/scripts/README
@@ -1,23 +1,17 @@
-
 This file: $modeldir/scripts/README
 Information about utilities found in the scripts directory of the model root directory.
 
-Make.gfort_hao64 	  Make file for the GNU gfortran compiler on Linux desktop systems.
-Make.intel_hao64 	  Make file for the Intel compiler on Linux desktop systems.
-Make.pgi_hao64 		  Make file for the PGI compiler on Linux desktop systems.
-Make.intel_ys 		  Make file for the Intel compiler on the NCAR supercomputer.
-Makefile 		  Main Makefile for all supported platforms.
-abspath 		  Utility to obtain full linux paths
-change_nlcomment	  Utility to change comment character in namelist input files
-master.inp		  Master namelist file describing all available namelist parameters.
-minsperday                Calculates WC minutes per simulated day, given timestep and WC secs/step
-mkdepends		  Script to determine dependencies at build time.
-mklogs			  Utility to parse the stdout file into log files for each mpi task.
-rmbinchars		  Utility to remove binary characters from stdout files.
-run.lsf			  Example LSF run script (created by the job script)
-tgcm_contents		  Utility to determine histories on an output netCDF history file.
-tgcm_put		  Utility to store history files on the NCAR hpss.
-tiegcm-linux.job	  Default job script for Linux desktop platform.
-tiegcm-ys.job		  Default job script for NCAR supercomputer.
-tiegcm_res2.5_default.inp Default namelist input file for 2.5-degree resolution
-tiegcm_res5.0_default.inp Default namelist input file for 5.0-degree resolution
+Make.intel_ch         Make file for the Intel compiler on the NCAR supercomputer.
+Make.intel_de         Make file for the Intel compiler on the NCAR supercomputer.
+Makefile              Main Makefile for all supported platforms.
+abspath               Utility to obtain full linux paths
+change_nlcomment      Utility to change comment character in namelist input files
+minsperday            Calculates WC minutes per simulated day, given timestep and WC secs/step
+mkdepends             Script to determine dependencies at build time.
+mklogs                Utility to parse the stdout file into log files for each mpi task.
+rmbinchars            Utility to remove binary characters from stdout files.
+tgcm_contents         Utility to determine histories on an output netCDF history file.
+tgcm_put              Utility to store history files on the NCAR hpss.
+tiegcm-ch.job         Default job script for NCAR supercomputer.
+tiegcm-de.job         Default job script for NCAR supercomputer.
+tiegcm_default.inp    Default namelist input file
diff --git a/scripts/abspath b/scripts/abspath
index da06658..3852505 100755
--- a/scripts/abspath
+++ b/scripts/abspath
@@ -1,5 +1,4 @@
 #!/usr/bin/perl
-#!/opt/local/bin/perl
 use Cwd;
 
 $path = shift;
diff --git a/scripts/change_nlcomment b/scripts/change_nlcomment
index bdd55fd..815feab 100755
--- a/scripts/change_nlcomment
+++ b/scripts/change_nlcomment
@@ -1,40 +1,31 @@
-#!/usr/bin/env python
-import sys,os,shutil,argparse
+#!/usr/bin/env python3
+import sys, os, shutil, argparse
+
 #-----------------------------------------------------------------------
-def replace_string(file,oldstr,newstr):
-#
-# Replace all occurrences of "oldstr" in oldfile to "newstr" in newfile.
-# Note oldfile and newfile may be the same, i.e., overwrite oldfile. 
-#
-# Read contents first, then close input file.
-#
-  file_read = open(file,'r')
-  contents = file_read.read()
-  file_read.close()
-# print contents
-#
-# Open output file and change chars per line.
-#
-  fw = open(file,'w')
-  for line in contents:
-    newline = line.replace(oldstr,newstr)
-    fw.write(newline)
-  fw.close()
+def replace_string(file, oldstr, newstr):
+    '''Replace all occurrences of "oldstr" in file with "newstr".'''
+
+    with open(file, 'r') as file_read:
+        contents = file_read.read()
+
+    with open(file, 'w') as fw:
+        fw.write(contents.replace(oldstr, newstr))
+
 #-----------------------------------------------------------------------
-#
-description='''\
+
+description = '''\
 Change namelist comment character from ";" to "!" in input file(s).
 
 If the -overwrite option is NOT set, user is prompted for whether or 
-  not to overwrite the input files.
+not to overwrite the input files.
 If the -overwrite option IS set (yes or no), then the option will be
-  honored, and the user will NOT be prompted.
+honored, and the user will NOT be prompted.
 If input files are not overwritten, files with a '.new' suffix 
-  added to the original file name will be written with the comment 
-  character changed.
+added to the original file name will be written with the comment 
+character changed.
 '''
 
-epilog='''\
+epilog = '''\
 Example 1:
   change_nlcomment tiegcm.inp mynamelist.inp
   (User will be prompted whether or not to overwrite each input file)
@@ -45,12 +36,12 @@ Example 3:
   change_nlcomment -overwrite=yes *.inp 
   (Files WILL be overwritten without prompting the user)
 Example 4:
-  change_nlcomment -overwrite=yes `find . -name \*.inp`
+  change_nlcomment -overwrite=yes `find . -name \\*.inp`
   (Files found by the "find" command will be overwritten without prompting the user)
 '''
 
 parser = argparse.ArgumentParser(description=description, \
-  formatter_class=argparse.RawTextHelpFormatter,epilog=epilog)
+  formatter_class=argparse.RawTextHelpFormatter, epilog=epilog)
 
 help_overwrite = 'Overwrite input files (yes/no)? (If set, user will not be prompted for overwrite)'
 help_nlfiles = 'One or more input namelist files in which to change the comment character.'
@@ -61,52 +52,47 @@ parser.add_argument('-overwrite', help=help_overwrite)
 args = parser.parse_args()
 
 overwrite = ''
-if args.overwrite: overwrite = args.overwrite
-if overwrite != '':
-  if overwrite == 'yes' or overwrite == 'y':
-    print 'Will overwrite input files.'
-  else:
-    print 'Will NOT overwrite input files.'
+if args.overwrite: 
+    overwrite = args.overwrite
+
+if overwrite:
+    if overwrite in ['yes', 'y']:
+        print('Will overwrite input files.')
+    else:
+        print('Will NOT overwrite input files.')
 
 nlfiles = args.nlfiles
-print 'There are ',len(nlfiles),' input files.'
+print(f'There are {len(nlfiles)} input files.')
 
 oldstr = ';'
 newstr = '!'
 
 for file in nlfiles:
-  if os.path.isfile(file):
-#
-# Use command line argument, if provided:
-#
-    if overwrite != '':
-      if overwrite == 'yes' or overwrite == 'y':
-        replace_string(file,oldstr,newstr)
-        print 'Overwrote file ',file
-      else:
-        newfile = file+'.new'
-        shutil.copyfile(file,newfile)
-        replace_string(newfile,oldstr,newstr)
-        print 'Wrote file ',newfile
-      continue
-#
-# Prompt user for each file (command line arg not provided):
-#
-    answer = raw_input('Overwrite file '+file+' (y/n/q, default=n)? ')
-    if answer == 'q': sys.exit()
-    if answer == 'y':
-      replace_string(file,oldstr,newstr)
-      print 'Overwrote file ',file
-    elif answer == 'n' or answer == '':
-      newfile = file+'.new'
-      shutil.copyfile(file,newfile)
-      replace_string(newfile,oldstr,newstr)
-      print 'Wrote file ',newfile
+    if os.path.isfile(file):
+        if overwrite:
+            if overwrite in ['yes', 'y']:
+                replace_string(file, oldstr, newstr)
+                print(f'Overwrote file {file}')
+            else:
+                newfile = file + '.new'
+                shutil.copyfile(file, newfile)
+                replace_string(newfile, oldstr, newstr)
+                print(f'Wrote file {newfile}')
+            continue
+
+        answer = input(f'Overwrite file {file} (y/n/q, default=n)? ')
+        if answer == 'q':
+            sys.exit()
+        elif answer == 'y':
+            replace_string(file, oldstr, newstr)
+            print(f'Overwrote file {file}')
+        elif answer in ['n', '']:
+            newfile = file + '.new'
+            shutil.copyfile(file, newfile)
+            replace_string(newfile, oldstr, newstr)
+            print(f'Wrote file {newfile}')
+        else:
+            print(f'File {file} is unchanged.')
+
     else:
-      print 'File ',file,' is unchanged.'
-#
-# File not found:
-#
-  else:
-    print '>>> Cannot find file ',file
-    continue
+        print(f'>>> Cannot find file {file}')
diff --git a/scripts/defs.h b/scripts/defs.h
new file mode 100644
index 0000000..efccfa3
--- /dev/null
+++ b/scripts/defs.h
@@ -0,0 +1,7 @@
+#define DLAT 1.25
+#define DLON 1.25
+#define GLON1 -180
+#define DLEV 0.25
+#define ZIBOT -7
+#define ZITOP 7
+#define NRES_GRID 5
diff --git a/scripts/download/README b/scripts/download/README
deleted file mode 100644
index 355609c..0000000
--- a/scripts/download/README
+++ /dev/null
@@ -1,33 +0,0 @@
-
-Shell script to tar source and data files for download from the 
-download page on the tgcm website: 
-
-http://www.hao.ucar.edu/modeling/tgcm/download.php
-
-See $source_home and $data_home in make_downloads for locations
-of the source and data directories to be tarballed.
-
-You will need at least 5.5G disk to download all files and make
-a default 5-deg run. This is normally executed in a scratch or
-project directory on yellowstone (or whatever current NCAR Super).
-
-Execute make_downloads in this directory to create 3 tar files:
-(these will extract into directories of the same name)
-  tiegcm2.0.tar            # The svn tag (src, scripts, doc, etc)
-  tiegcm_res2.5_data.tar   # startup and data files for 2.5-deg resolution
-  tiegcm_res5.0_data.tar   # startup and data files for 5.0-deg resolution
-
-The following files are also included in the source file (tiegcm2.0.tar):
-  README.download     # Instructions to the user
-  tiegcm-linux.job    # Default Linux job script
-  tiegcm-ys.job       # Default yellowstone script
-  tiegcm_res2.5.inp   # Default 2.5-deg resolution namelist input
-  tiegcm_res5.0.inp   # Default 5.0-deg resolution namelist input
-
-The 3 tar files can be copied to webpub for the above download page.
-
-After download and extraction, the user should be able to execute the 
-job script appropriate for the system in use, to build the model and 
-execute a default 5-deg run. The job scripts can be modified to make 
-2.5-deg runs, which will access startup and data files in tiegcm_res2.5_data.
-
diff --git a/scripts/download/README.download b/scripts/download/README.download
deleted file mode 100644
index c51477e..0000000
--- a/scripts/download/README.download
+++ /dev/null
@@ -1,42 +0,0 @@
-
-Model:		TIEGCM
-Svn Tag:	tiegcm2.0
-Release Date:	March, 2016
-
-Source and data tar files to build and execute the model can
-be downloaded from the TGCM download website. You will be
-asked to provide an email address, but no password is necessary.
-
-http://www.hao.ucar.edu/modeling/tgcm/download.php
-
-These 3 tar files are available for download:
-  tiegcm2.0.tar             # source code of exported svn tag (30 MB)
-  tiegcm_res5.0_data.tar    # startup and data files for 5.0-deg model (1.5 GB)
-  tiegcm_res2.5_data.tar    # startup and data files for 2.5-deg model (4 GB)
-
-Download and extract these files into a large temporary disk space 
-(you can download only the data tarball for the resolution you want). 
-To download the source file, the 5-degree data file, and make a default
-run, you will need about 1.8G of disk. For the 2.5-deg data and default
-run, you will need about 5.3G.
-
-Extracting these 3 tar files will result in directories of the same name.
-In addition, the source file (tiegcm2.0.tar) also contains the following
-default job scripts and namelist input files:
-
-  tiegcm-linux.job          # job script for 64-bit Linux desktop
-  tiegcm-ys.job             # job script for NCAR supercomputer "yellowstone"
-  tiegcm_res5.0.inp         # default namelist input file for 5.0-deg resolution model
-  tiegcm_res2.5.inp         # default namelist input file for 2.5-deg resolution model
-
-At this point you should be able to execute the job script appropriate
-to the system you are running on by simply typing the name on the command line.
-The job script will build the model, and execute a default 5-deg run. The job 
-scripts can be easily modified to make a 2.5-degree run (read the comments at 
-the top of the job scripts).
-
-By default, output history files will be created in the execution directory (execdir)
-
-See the TIEGCM User's Guide for more information:
-
-http://www.hao.ucar.edu/modeling/tgcm/doc/userguide/html/
diff --git a/scripts/download/make_downloads b/scripts/download/make_downloads
deleted file mode 100755
index b8c443d..0000000
--- a/scripts/download/make_downloads
+++ /dev/null
@@ -1,66 +0,0 @@
-#!/bin/tcsh
-#
-# The tiegcm2.0 source directory should be in $source_home:
-#   (it should be svn exported (e.g., "svn export tiegcm2.0"))
-#   tiegcm2.0/
-#
-# The following scripts should be in $source_home:
-#   README.download
-#   tiegcm-linux.job
-#   tiegcm-ys.job
-#   tiegcm_res5.0.inp
-#   tiegcm_res2.5.inp
-#
-# Two data directories should be present in $data_home:
-#   tiegcm_res5.0_data/
-#   tiegcm_res2.5_data/
-#
-set mycwd = `pwd`
-set model = tiegcm2.0
-set source_home = /glade/p/hao/tgcm/$model/download
-set data_home   = /glade/p/hao/tgcm/data
-#
-# Make source download tar file:
-#
-cd $source_home
-if (! -d $model) then
-  echo ">>> Cannot find source directory $source_home/$model"
-  exit
-endif
-if (! -f tiegcm-linux.job || ! -f tiegcm-ys.job) \
-  echo ">>> WARNING: Cannot find tiegcm-linux.job and/or tiegcm-ys.job"
-if (! -f tiegcm_res5.0.inp || ! -f tiegcm_res2.5.inp) \
-  echo ">>> WARNING: Cannot find tiegcm_res5.0.inp and/or tiegcm_res2.5.inp"
-set tarfile = $model.tar
-tar -cf $tarfile $model README.download tiegcm-linux.job tiegcm-ys.job tiegcm_res5.0.inp tiegcm_res2.5.inp
-if ($source_home != $mycwd) mv $tarfile $mycwd
-echo Saved source tar file $tarfile
-#exit
-#
-# Save 5.0-deg data download files:
-#
-if (! -d $data_home/tiegcm_res5.0_data) then
-  echo ">>> Cannot find data directory tiegcm_res5.0_data"
-  exit
-endif
-cd $data_home
-set tarfile = tiegcm_res5.0_data.tar
-tar -cf $tarfile tiegcm_res5.0_data
-if ($data_home != $mycwd) mv $tarfile $mycwd
-echo Saved $tarfile
-#echo Compressing $tarfile...
-#gzip $tarfile
-#
-# Save 2.5-deg data download files:
-#
-cd $data_home
-if (! -d tiegcm_res2.5_data) then
-  echo ">>> Cannot find data directory ${model}_res2.5_data
-  exit
-endif
-set tarfile = tiegcm_res2.5_data.tar
-tar -cf $tarfile tiegcm_res2.5_data
-if ($data_home != $mycwd) mv $tarfile $mycwd
-echo Saved $tarfile
-#echo Compressing $tarfile...
-#gzip $tarfile
diff --git a/scripts/download/tiegcm-linux.job b/scripts/download/tiegcm-linux.job
deleted file mode 100755
index 558414a..0000000
--- a/scripts/download/tiegcm-linux.job
+++ /dev/null
@@ -1,248 +0,0 @@
-#! /bin/csh
-#
-# Job script to build and execute the model on a 64-bit Linux desktop machine.
-# 
-# User must set shell variables below:
-#
-#   modeldir:  Root directory to model source (may be an SVN working dir)
-#   execdir:   Directory in which to build and execute (will be created if necessary)
-#   tgcmdata:  Directory in which startup history and data files are accessed.
-#              (If tgcmdata is not set, the model will use env var TGCMDATA)
-#   input:     Namelist input file for the chosen model resolution
-#   output:    Stdout file from model execution (will be created)
-#   modelres:  Model resolution (5.0 or 2.5 degrees)
-#   make:      Build file with platform-specific compile parameters (in scripts dir)
-#   mpi:       TRUE/FALSE for MPI run (non-MPI runs are not supported in v2.0 and later)
-#   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
-#   exec:      If TRUE, execute the model (build only if exec is FALSE)
-#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
-#   runscript: LSF script with run commands (submitted with bsub from execdir)
-#
-# To switch to 2.5-deg resolution, set modelres below to 2.5, 
-# and change execdir, tgcmdata and namelist input if necessary.
-#
-set modeldir = tiegcm2.0
-set execdir  = tiegcm.exec
-set tgcmdata = tiegcm_res5.0_data
-set input    = tiegcm_res5.0.inp
-set output   = tiegcm_res5.0.out
-set modelres = 5.0
-set make     = Make.intel_hao64
-set mpi      = TRUE  # must be TRUE for tiegcm2.0 and later
-set nproc    = 4     # nproc=1 is permitted
-set debug    = FALSE
-set exec     = TRUE
-set utildir  = $modeldir/scripts
-# 
-#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-#                        Shell Script for TIEGCM Linux job
-#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-#
-set mycwd = `pwd`
-echo "" ; echo "${0}:"
-echo "  Begin execution at `date`"
-echo "  Current working directory: $mycwd"
-echo "  System: `uname -a`"  
-echo ""
-#
-# Verify directories and make_machine file (make execdir if necessary).
-# Get absolute path for dirs that are accessed from the execdir.
-#
-if (! -d $modeldir) then
-  echo ">>> Cannot find model directory $modeldir <<<"
-  exit 1
-endif
-set model = $modeldir:t
-
-if ($model == '') then
-  echo "Please remove trailing slash from modeldir $modeldir"
-  exit
-endif
-
-if (! -d $utildir) then
-  echo ">>> Cannot find model scripts directory $utildir <<<" 
-  exit 1
-endif
-
-set srcdir  = $modeldir/src
-if (! -d $srcdir) then
-  echo ">>> Cannot find model source directory $srcdir <<<"
-  exit 1
-endif
-set srcdir = `perl $utildir/abspath $srcdir`
-
-if (! -d $execdir) then
-  echo "Making exec directory $execdir" 
-  mkdir -p $execdir
-endif
-#
-# Set data directory:
-#   If tgcmdata is set above, get the absolute path and use
-#     it to set (override) env var TGCMDATA
-#   If tgcmdata not set above, use env var TGCMDATA
-#   If neither are set, print a warning and set both to cwd.
-#   Finally, print warning if the directory does not exist.
-#
-if ($?tgcmdata) then
-  set tgcmdata = `perl $utildir/abspath $tgcmdata`
-  setenv TGCMDATA $tgcmdata
-  echo Set env var TGCMDATA = $TGCMDATA
-else
-  if ($?TGCMDATA) then
-    set tgcmdata = $TGCMDATA
-    echo Set tgcmdata = $TGCMDATA
-  else
-    echo WARNING: TGCMDATA is not set - using cwd
-    set tgcmdata = .
-    setenv TGCMDATA $tgcmdata
-  endif
-endif
-if (! -d $tgcmdata) echo ">>> Cannot find data directory $tgcmdata"
-
-if ($modelres != 5.0 && $modelres != 2.5) then
-  echo ">>> Unknown model resolution $modelres <<<"
-  exit 1
-endif
-#
-# Copy make files to execdir if necessary:
-#
-if (-f $make) then # set by user above
-  cp $make $execdir
-  echo Copied $make to $execdir
-else
-  cp $utildir/$make $execdir
-  echo Copied $utildir/$make to $execdir
-endif
-if (! -f $execdir/Makefile)  cp $utildir/Makefile $execdir
-if (! -f $execdir/mkdepends) cp $utildir/mkdepends $execdir
-#
-# Namelist input file must exist:
-#
-if (! -f $input) then
-  echo ">>> Cannot find namelist input file $input <<<"
-  exit 1
-endif
-set input  = `perl $utildir/abspath $input`
-set output = `perl $utildir/abspath $output`
-set util   = `perl $utildir/abspath $utildir`
-set mklogs = $util/mklogs
-set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
-#
-# Report to stdout:
-#
-set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
-echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
-echo "  Exec directory:    $execdir"
-echo "  Source directory:  $srcdir"
-echo "  Data directory:    $tgcmdata"
-echo "  Make machine file: $make"
-echo "  Namelist input:    $input"
-echo "  Model resolution:  $modelres"
-echo "  Debug flag:        $debug"
-#
-# If debug flag has changed from last gmake, clean execdir
-# and reset debug file:
-#
-if (-f $execdir/debug) then
-  set lastdebug = `cat $execdir/debug` 
-  if ($lastdebug != $debug) then
-    echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $debug >! $execdir/debug
-  endif
-else
-  echo $debug >! $execdir/debug
-  echo "Created file debug with debug flag = $debug"
-endif
-#
-# Copy defs header file to execdir, if necessary, according to 
-# requested resolution. This should seamlessly switch between
-# resolutions according to $modelres.
-#
-set defs = $srcdir/defs5.0
-if ($modelres == 2.5) set defs = $srcdir/defs2.5
-if (-f $execdir/defs.h) then
-  cmp -s $execdir/defs.h $defs
-  if ($status == 1) then # files differ -> switch resolutions
-    echo "Switching defs.h for model resolution $modelres"
-    cp $defs $execdir/defs.h
-  else
-    echo "defs.h already set for model resolution $modelres"
-  endif 
-else # defs.h does not exist in execdir -> copy appropriate defs file
-  echo "Copying $defs to $execdir/defs.h for resolution $modelres"
-  cp $defs $execdir/defs.h
-endif
-#
-# cd to execdir and run make:
-#
-cd $execdir || echo ">>> Cannot cd to execdir $execdir" && exit 1
-echo ""
-echo "Begin building $model in `pwd`"
-#
-# Build Make.env file in exec dir, containing needed env vars for Makefile:
-#
-cat << EOF >! Make.env
-MAKE_MACHINE  = $make
-DIRS          = . $srcdir 
-MPI           = $mpi
-NPROC         = $nproc
-EXECNAME      = $model
-NAMELIST      = $input
-OUTPUT        = $output
-DEBUG         = $debug
-SVN_REVISION  = $svn_revision
-EOF
-#
-gmake machines.ini
-gmake mpirun.command
-set mpirun = `cat mpirun.command`
-#
-set compiler = 'unknown'
-if ($make == Make.intel_hao64) then
-  set compiler = intel
-else if ($make == Make.pgi_hao64) then
-  set compiler = pgi
-else if ($make == Make.gfort_hao64) then
-  set compiler = gfort
-endif
-echo Compiler: $compiler
-#
-# Build the model:
-gmake -j4 all || echo ">>> Error return from gmake all" && exit 1
-#
-# Execute Linux job (MPI or non-MPI run):
-#
-if ($exec == "TRUE") then
-  set model = ./$model
-  echo "$model output will go to $output"
-  if ($mpi == "TRUE") then
-    echo Executing $mpirun with executable $model at `date`
-#
-# Execute mpirun with the model executable ($model), and a single argument
-# providing the path to the namelist input file:
-#
-    $mpirun -machinefile machines.ini -np $nproc $model $input >&! $output
-
-    echo "Linux MPI run of $model completed at `date`"
-    $rmbinchars $output # remove any non-ascii chars in stdout file
-#
-# Do not call mklogs if built with PGI or gfortran:
-# (only intel has ability to prefix task ids to stdout lines)
-#
-    if ($compiler == 'intel') then
-      $mklogs $output     # break stdout into per-task log files
-    else
-      echo "Am not calling mklogs because model was not built with intel"
-    endif
-  else # MPI is FALSE
-    echo "Executing $model for Linux non-MPI run."
-    $model < $input >&! $output || \
-      echo ">>> ${0} Execution of $model FAILED at `date`" && \
-      echo "See output in $output"
-    echo "Linux non-MPI run of $model completed at `date`"
-  endif
-else
-  echo "I am NOT executing $model (exec was not set)"
-endif
-exit 0
diff --git a/scripts/download/tiegcm-ys.job b/scripts/download/tiegcm-ys.job
deleted file mode 100755
index 12a6cde..0000000
--- a/scripts/download/tiegcm-ys.job
+++ /dev/null
@@ -1,300 +0,0 @@
-#!/bin/tcsh
-#
-# Job script to build and execute TIEGCM on the NCAR supercomputer yellowstone.
-#
-# This script should be executed on the yellowstone command line. 
-# It will compile in execdir on the interactive login node, then create and submit 
-# an LSF script based on the #BSUB resources specified below.
-#
-# Set shell variables and #BSUB settings below:
-#
-#   modeldir:  Root directory to model source (may be an SVN working dir)
-#   execdir:   Directory in which to build and execute (will be created if necessary)
-#   tgcmdata:  Directory in which startup history and data files are accessed.
-#              (If tgcmdata is not set, the model will use env var TGCMDATA)
-#   input:     Namelist input file for the chosen model resolution
-#   output:    Stdout file from model execution (will be created)
-#   modelres:  Model resolution (5.0 or 2.5 degrees)
-#   make:      Build file with platform-specific compile parameters (in scripts dir)
-#   mpi:       TRUE/FALSE for MPI run (non-MPI runs are not supported in v2.0 and later)
-#   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
-#   exec:      If TRUE, execute the model (build only if exec is FALSE)
-#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
-#   runscript: LSF script with run commands (submitted with bsub from execdir)
-#
-# To switch to 2.5-deg resolution, set modelres below to 2.5, 
-# and change execdir, tgcmdata and namelist input as necessary.
-# Also reset number of processors accordingly below (#BSUB -n).
-#
-set modeldir = tiegcm2.0
-set execdir  = tiegcm.exec
-set tgcmdata = tiegcm_res5.0_data
-set input    = tiegcm_res5.0.inp
-set output   = tiegcm_res5.0.out
-set modelres = 5.0
-set make     = Make.intel_ys
-set mpi       = TRUE   # (must be TRUE for tiegcm2.0 or later)
-set debug     = FALSE
-set exec      = TRUE
-set utildir   = $modeldir/scripts
-set runscript = run.lsf
-
-set execdir   = `perl $utildir/abspath $execdir`
-set runscript = `perl $utildir/abspath $runscript`
-if (! -d $execdir) mkdir -p $execdir
-#
-# Set LSF resource usage (create the runscript in execdir):
-# (run commands are appended to this script below)
-#
-cat << EOF >! $runscript
-#!/bin/tcsh
-#
-#BSUB -J tiegcm2.0
-#BSUB -P P28100036
-##BSUB -P NHAO0004
-#BSUB -q premium
-#BSUB -o tiegcm.%J.out
-#BSUB -e tiegcm.%J.out
-#BSUB -N
-#BSUB -u $LOGNAME@ucar.edu
-#BSUB -W 0:30
-#
-# Recommended for single-res (5.0 deg) tiegcm:
-# -n16,ptile=16 (1 node, 16 procs/node)
-# Note: -n 1 is permitted.
-# For 5.0-deg res, STEP= 60, nproc=16, allow 2.0 mins per simulated day (0.08 secs/step)
-# For 5.0-deg res, STEP=120, nproc=16, allow 1.0 mins per simulated day (0.08 secs/step)
-#BSUB -n 16
-#BSUB -R "span[ptile=16]"
-#
-# Recommended for double-res (2.5 deg) tiegcm: 
-# -n64,ptile=16 (4 nodes, 16 procs/node)
-# Note: -n 1 is permitted.
-# For 2.5-deg res, STEP= 30, nproc=64, allow 8.5 mins per simulated day (0.17 secs/step)
-# For 2.5-deg res, STEP= 60, nproc=64, allow 4.5 mins per simulated day (0.17 secs/step)
-##BSUB -n 64
-##BSUB -R "span[ptile=16]"
-#
-EOF
-#
-#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-#                               End user settings
-#                        Shell Script for TIEGCM Linux job
-#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-#
-# Update ESMF module on ys as of 4/14/14:
-set lib_esmf = esmf-6.3.0r-ncdfio-mpi-O
-module load esmf $lib_esmf
-#
-set mycwd = `pwd`
-echo "" ; echo "${0}:"
-echo "  Begin execution at `date`"
-echo "  Current working directory: $mycwd"
-echo "  System: `uname -a`"  
-echo ""
-#
-# Verify directories and make_machine file (make execdir if necessary).
-# Get absolute path for dirs that are accessed from the execdir.
-#
-if (! -d $modeldir) then
-  echo ">>> Cannot find model directory $modeldir <<<"
-  exit 1
-endif
-#
-# Executable file name:
-set model = tiegcm.exe
-
-if (! -d $utildir) then
-  echo ">>> Cannot find model scripts directory $utildir <<<" 
-  exit 1
-endif
-set utildir = `perl $utildir/abspath $utildir`
-
-set srcdir  = $modeldir/src
-if (! -d $srcdir) then
-  echo ">>> Cannot find model source directory $srcdir <<<"
-  exit 1
-endif
-set srcdir = `perl $utildir/abspath $srcdir`
-#
-# Set data directory:
-#   If tgcmdata is set above, get the absolute path and use
-#     it to set (override) env var TGCMDATA
-#   If tgcmdata not set above, use env var TGCMDATA
-#   If neither are set, print a warning and set both to cwd.
-#   Finally, print warning if the directory does not exist.
-#
-if ($?tgcmdata) then
-  set tgcmdata = `perl $utildir/abspath $tgcmdata`
-  setenv TGCMDATA $tgcmdata
-  echo Set env var TGCMDATA = $TGCMDATA
-else
-  if ($?TGCMDATA) then
-    set tgcmdata = $TGCMDATA
-    echo Set tgcmdata = $TGCMDATA
-  else
-    echo WARNING: TGCMDATA is not set - using cwd
-    set tgcmdata = .
-    setenv TGCMDATA $tgcmdata
-  endif
-endif
-if (! -d $tgcmdata) echo ">>> Cannot find data directory $tgcmdata"
-
-if ($modelres != 5.0 && $modelres != 2.5) then
-  echo ">>> Unknown model resolution $modelres <<<"
-  exit 1
-endif
-#
-# Copy make files to execdir if necessary:
-#
-if (! -f $execdir/$make)     cp $utildir/$make $execdir
-if (! -f $execdir/Makefile)  cp $utildir/Makefile $execdir
-if (! -f $execdir/mkdepends) cp $utildir/mkdepends $execdir
-#
-# Make default namelist input file if not provided by user:
-#
-if (! -f $input) then
-  echo ">>> Cannot find namelist input file $input <<<"
-  exit 1
-endif
-
-set model  = $execdir/$model
-set input  = `perl $utildir/abspath $input`
-set output = `perl $utildir/abspath $output`
-set util   = `perl $utildir/abspath $utildir`
-set mklogs = $util/mklogs         # Nov, 2015: mklogs rewritten in python
-set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
-#
-# Report to stdout:
-#
-#set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
- set svn_revision = 'tiegcm2.0' # for svn tag instead of revision number
-
-echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
-echo "  Exec directory:    $execdir"
-echo "  Source directory:  $srcdir"
-echo "  Data directory:    $tgcmdata"
-echo "  Make machine file: $make"
-echo "  Namelist input:    $input"
-echo "  Stdout Output:     $output"
-echo "  Model resolution:  $modelres"
-echo "  Debug:             $debug"
-echo "  MPI job:           $mpi"
-#
-# If debug flag has changed from last gmake, clean execdir
-# and reset debug file:
-#
-if (-f $execdir/debug) then
-  set lastdebug = `cat $execdir/debug` 
-  if ($lastdebug != $debug) then
-    echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $debug >! $execdir/debug
-  endif
-else
-  echo $debug >! $execdir/debug
-  echo "Created file debug with debug flag = $debug"
-endif
-#
-# If mpi flag has changed from last gmake, clean execdir
-# and reset mpi file:
-#
-if (-f $execdir/mpi) then
-  set lastmpi = `cat $execdir/mpi` 
-  if ($lastmpi != $mpi) then
-    echo "Clean execdir $execdir because mpi flag switched from $lastmpi to $mpi"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $mpi >! $execdir/mpi
-  endif
-else
-  echo $mpi >! $execdir/mpi
-  echo "Created file mpi with mpi flag = $mpi"
-endif
-#
-# Copy defs header file to execdir, if necessary, according to 
-# requested resolution. This should seamlessly switch between
-# resolutions according to $modelres.
-#
-set defs = $srcdir/defs5.0
-if ($modelres == 2.5) set defs = $srcdir/defs2.5
-if (-f $execdir/defs.h) then
-  cmp -s $execdir/defs.h $defs
-  if ($status == 1) then # files differ -> switch resolutions
-    echo "Switching defs.h for model resolution $modelres"
-    cp $defs $execdir/defs.h
-  else
-    echo "defs.h already set for model resolution $modelres"
-  endif 
-else # defs.h does not exist in execdir -> copy appropriate defs file
-  echo "Copying $defs to $execdir/defs.h for resolution $modelres"
-  cp $defs $execdir/defs.h
-endif
-#
-# cd to execdir and run make:
-#
-cd $execdir || echo ">>> Cannot cd to execdir $execdir" && exit 1
-echo ""
-echo "Begin building $model in `pwd`"
-#
-# Build Make.env file in exec dir, containing needed env vars for Makefile:
-#
-cat << EOF >! Make.env
-MAKE_MACHINE  = $make
-DIRS          = . $srcdir 
-MPI           = $mpi
-EXECNAME      = $model
-NAMELIST      = $input
-OUTPUT        = $output
-DEBUG         = $debug
-SVN_REVISION  = $svn_revision
-EOF
-#
-# Build the model:
-gmake -j8 all || echo ">>> Error return from gmake all" && exit 1
-#
-if ($exec == "FALSE") then
-  echo "Am NOT executing the model because exec = $exec"
-  exit 0
-endif
-#
-# Set data directory in LSF script:
-#
-cat << EOF >> $runscript
-  setenv TGCMDATA $tgcmdata
-EOF
-#
-# MPI/LSF job: append mpirun.lsf command to LSF script 
-# (it has #BSUBs from above)
-#
-if ($mpi == "TRUE") then  # MPI LSF job
-  cat << EOF >> $runscript
-  setenv MP_LABELIO YES
-  setenv MP_SHARED_MEMORY yes
-#
-# Execute:
-  mpirun.lsf $model $input >&! $output
-#
-# Save stdout:
-  $rmbinchars $output # remove any non-ascii chars in stdout file
-  $mklogs $output     # break stdout into per-task log files
-  cd $output:h
-#
-# Make tar file of task log files:
-  tar -cf $output.tar *task*.out 
-  echo Saved stdout tar file $output.tar 
-  rm *task*.out
-EOF
-  echo " "
-  echo "Submitting LSF script $runscript for MPI run"
-  bsub < $runscript
-#
-# Non-mpi job: simple execution statement on the interactive node.
-# If you want to submit lsf job, you can use a here-doc like above
-# to put the execution statement in the runscript, then submit with
-# bsub as above.
-#
-else
-  echo "Executing serial non-MPI run in background on the interactive node.." 
-  $model < $input >&! $output &
-endif
-exit 0
diff --git a/scripts/download/tiegcm_res2.5.inp b/scripts/download/tiegcm_res2.5.inp
deleted file mode 100644
index bd6ccae..0000000
--- a/scripts/download/tiegcm_res2.5.inp
+++ /dev/null
@@ -1,37 +0,0 @@
-&tgcm_input
- LABEL = 'tiegcm res=2.5'
- START_YEAR = 2002
- START_DAY  = 80
- CALENDAR_ADVANCE = 1
- SOURCE = '$TGCMDATA/tiegcm_res2.5_mareqx_smin_prim.nc'
- SOURCE_START = 80 0 0
- START = 80 0 0
- STOP  = 81 0 0
- STEP  = 30
- HIST = 1 0 0
- OUTPUT = 'tiegcm2.0_res2.5_mareqx_smin_prim_001.nc'
- MXHIST_PRIM = 10
- SECSTART = 80 1 0
- SECSTOP  = 81 0 0
- SECHIST  =  0 1 0
- SECOUT   = 'tiegcm2.0_res2.5_mareqx_smin_sech_001.nc'
- MXHIST_SECH = 24
- SECFLDS = 'TN' 'UN' 'VN' 'WN' 'O2' 'O1' 'N2' 'NO' 'N4S' 'HE' 'NE' 
-           'TE' 'TI' 'TEC' 'O2P' 'OP' 'POTEN' 'UI_ExB' 'VI_ExB' 
-           'WI_ExB' 'DEN' 'QJOULE' 'HMF2' 'NMF2' 'Z' 'ZG'
- GSWM_MI_DI_NCFILE  = '$TGCMDATA/gswm_diurn_2.5d_99km.nc'
- GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_2.5d_99km.nc'
- GSWM_NM_DI_NCFILE  = '$TGCMDATA/gswm_nonmig_diurn_2.5d_99km.nc'
- GSWM_NM_SDI_NCFILE = '$TGCMDATA/gswm_nonmig_semi_2.5d_99km.nc'
- POTENTIAL_MODEL = 'HEELIS'
- POWER   = 18.
- CTPOTEN = 30.
- F107    = 70.
- F107A   = 70.
- AURORA = 1
- COLFAC = 1.5
- DYNAMO = 1
- CURRENT_PG = 1
- CURRENT_KQ = 0
- CALC_HELIUM = 1
-/
diff --git a/scripts/download/tiegcm_res5.0.inp b/scripts/download/tiegcm_res5.0.inp
deleted file mode 100644
index af5e4cf..0000000
--- a/scripts/download/tiegcm_res5.0.inp
+++ /dev/null
@@ -1,35 +0,0 @@
-&tgcm_input
- LABEL = 'tiegcm res=5.0'
- START_YEAR = 2002
- START_DAY  = 80
- CALENDAR_ADVANCE = 1
- SOURCE = '$TGCMDATA/tiegcm_res5.0_mareqx_smin_prim.nc'
- SOURCE_START = 80 0 0
- START = 80 0 0
- STOP  = 81 0 0
- STEP  = 60
- HIST = 1 0 0
- OUTPUT = 'tiegcm2.0_res5.0_mareqx_smin_prim_001.nc'
- MXHIST_PRIM = 10
- SECSTART = 80 1 0
- SECSTOP  = 81 0 0
- SECHIST  =  0 1 0
- SECOUT   = 'tiegcm2.0_res5.0_mareqx_smin_sech_001.nc'
- MXHIST_SECH = 24
- SECFLDS = 'TN' 'UN' 'VN' 'WN' 'O2' 'O1' 'N2' 'NO' 'N4S' 'HE' 'NE' 
-           'TE' 'TI' 'TEC' 'O2P' 'OP' 'POTEN' 'UI_ExB' 'VI_ExB' 
-           'WI_ExB' 'DEN' 'QJOULE' 'HMF2' 'NMF2' 'Z' 'ZG'
- GSWM_MI_DI_NCFILE  = '$TGCMDATA/gswm_diurn_5.0d_99km.nc'
- GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_5.0d_99km.nc'
- POTENTIAL_MODEL = 'HEELIS'
- POWER   = 18.
- CTPOTEN = 30.
- F107    = 70.
- F107A   = 70.
- AURORA = 1
- COLFAC = 1.5
- DYNAMO = 1
- CURRENT_PG = 1
- CURRENT_KQ = 0
- CALC_HELIUM = 1
-/
diff --git a/scripts/interpic.py b/scripts/interpic.py
new file mode 100755
index 0000000..ea8f000
--- /dev/null
+++ b/scripts/interpic.py
@@ -0,0 +1,244 @@
+#!/usr/bin/env python
+from numpy import ndarray, interp, log, exp, linspace, allclose, maximum
+from sys import exit
+from netCDF4 import Dataset
+import argparse
+from argparse import RawTextHelpFormatter
+
+# interpolate old or new TIEGCM primary history file into v3.0 format
+# support any combinations of horizontal/vertical resolutions and upper boundaries
+
+
+def interp2d(variable, inlat, inlon, outlat, outlon):
+    ninlat = len(inlat)
+    noutlon = len(outlon)
+
+    var0 = ndarray(shape=(ninlat, noutlon))
+    for i in range(ninlat):
+        var0[i, :] = interp(x=outlon, xp=inlon, fp=variable[i, :], period=360)
+
+    var1 = ndarray(shape=(len(outlat), noutlon))
+    for i in range(noutlon):
+        var1[:, i] = interp(x=outlat, xp=inlat, fp=var0[:, i])
+
+    return var1
+
+
+def interp3d(variable, inlev, inlat, inlon, outlev, outlat, outlon, extrap):
+    ninlev = len(inlev)
+    noutlev = len(outlev)
+    noutlat = len(outlat)
+    noutlon = len(outlon)
+
+    var0 = ndarray(shape=(ninlev, noutlat, noutlon))
+    for i in range(ninlev):
+        var0[i, :, :] = interp2d(variable=variable[i, :, :], inlat=inlat, inlon=inlon, outlat=outlat, outlon=outlon)
+
+    for lastidx in range(noutlev):
+        if outlev[lastidx] > inlev[-1]:
+            break
+
+    var1 = ndarray(shape=(noutlev, noutlat, noutlon))
+    if extrap == 'constant':
+        for i in range(noutlat):
+            for j in range(noutlon):
+                var1[:, i, j] = interp(x=outlev, xp=inlev, fp=var0[:, i, j])
+    elif extrap == 'linear':
+        for i in range(noutlat):
+            for j in range(noutlon):
+                var1[0: lastidx, i, j] = interp(x=outlev[0: lastidx], xp=inlev, fp=var0[:, i, j])
+                k = (var0[ninlev-1, i, j] - var0[ninlev-2, i, j]) / (inlev[ninlev-1] - inlev[ninlev-2])
+                var1[lastidx: noutlev, i, j] = k * (outlev[lastidx: noutlev] - inlev[ninlev-1]) + var0[ninlev-1, i, j]
+    elif extrap == 'exponential':
+        v1 = ndarray(shape=noutlev)
+        for i in range(noutlat):
+            for j in range(noutlon):
+                v0 = log(var0[:, i, j])
+                v1[0: lastidx] = interp(x=outlev[0: lastidx], xp=inlev, fp=v0)
+                k = (v0[ninlev-1] - v0[ninlev-2]) / (inlev[ninlev-1] - inlev[ninlev-2])
+                v1[lastidx: noutlev] = k * (outlev[lastidx: noutlev] - inlev[ninlev-1]) + v0[ninlev-1]
+                var1[:, i, j] = exp(v1)
+    else:
+        exit('Extrapolation method must be one of constant/linear/exponential')
+
+    return var1
+
+if __name__ == "__main__":
+
+    fnIn = None
+    hori = 2.5
+    vert = 0.25
+    zitop = 5
+    MainS = """ This script will scale a TIEGCM primary restart file to a new compatible TIEGCM v3.0 restart file.
+        """
+    
+    #Parse commandline input
+    parser = argparse.ArgumentParser(description=MainS, formatter_class=RawTextHelpFormatter)
+    parser.add_argument('-hres',type=float,metavar="HoriRes",default=hori,help="Horizontal Resolution (default: %(default)s)")
+    parser.add_argument('-vres',type=float,metavar="VertRes",default=vert,help="Vertical Resolution (default: %(default)s)")
+    parser.add_argument('-zitop',type=int,metavar="ZPMax",default=zitop,help="Top Pressure Level (default: %(default)s)")
+    parser.add_argument('-fin', type=str,default=None,help="Required: Input NetCDF primary file to be scaled")
+    parser.add_argument('-fout', type=str,default=None,help="Filename for Scaled NetCDF primary file (default: {fIn}_{hres}x{vres}_{zitop}.nc)")
+    
+    #Finalize parsing
+    args = parser.parse_args()
+    
+    #Check for required file
+    if (args.fin is None): raise Exception('Error: -fin file needs to be specified')
+    
+    fnIn  = args.fin
+    hori  = args.hres
+    vert  = args.vres
+    zitop = args.zitop
+    fnOut = args.fout
+
+    #Do Stuff
+    fill_top = ['TN', 'UN', 'VN', 'OP', 'N2D', 'TI', 'TE', 'O2P', 'TN_NM', 'UN_NM', 'VN_NM', 'OP_NM']
+    mixing_ratio = ['O2', 'O1', 'N4S', 'NO', 'HE', 'AR', 'N2D', 'O2_NM', 'O1_NM', 'N4S_NM', 'NO_NM', 'HE_NM', 'AR_NM']
+    extrap_method = {'TN': 'exponential', 'UN': 'linear', 'VN': 'linear', 'O2': 'exponential', 'O1': 'exponential', 'N4S': 'exponential',
+            'NO': 'exponential', 'HE': 'exponential', 'AR': 'exponential', 'OP': 'exponential', 'N2D': 'constant', 'TI': 'exponential',
+            'TE': 'exponential', 'NE': 'exponential', 'O2P': 'constant', 'OMEGA': 'linear', 'Z': 'exponential', 'POTEN': 'linear',
+            'TN_NM': 'exponential', 'UN_NM': 'linear', 'VN_NM': 'linear', 'O2_NM': 'exponential', 'O1_NM': 'exponential',
+            'N4S_NM': 'exponential', 'NO_NM': 'exponential', 'OP_NM': 'exponential', 'HE_NM': 'exponential', 'AR_NM': 'exponential'}
+
+    nlon = int(360 / hori)
+    lon = linspace(start=-180, stop=180-hori, num=nlon)
+    nlat = int(180 / hori)
+    lat = linspace(start=-90+hori/2, stop=90-hori/2, num=nlat)
+    nlev = int((zitop + 7) / vert) + 1
+    ilev = linspace(start=-7, stop=zitop, num=nlev)
+    lev = ilev + vert/2
+
+    src = Dataset(filename=fnIn)
+    
+    if (fnOut is None):
+        dst = Dataset(filename=fnIn+'_{:g}x{:g}_z{:g}.nc'.format(hori, vert, zitop), mode='w')
+    else:
+        if (fnOut[-2:-1] != 'nc'): fnOut = fnOut + '.nc'
+        dst = Dataset(filename=fnOut,mode='w')
+
+    print("Creating new primary file: ",fnOut)
+
+    for name in src.ncattrs():
+        setattr(dst, name, getattr(src, name))
+
+    for dimname, dimension in src.dimensions.items():
+        if dimname == 'time':
+            nt = dimension.size
+            dst.createDimension(dimname='time')
+        elif dimname == 'lon':
+            dst.createDimension(dimname='lon', size=nlon)
+        elif dimname == 'lat':
+            dst.createDimension(dimname='lat', size=nlat)
+        elif dimname == 'lev':
+            dst.createDimension(dimname='lev', size=nlev)
+        elif dimname == 'ilev':
+            dst.createDimension(dimname='ilev', size=nlev)
+        elif dimname == 'mtimedim':
+            dst.createDimension(dimname='mtimedim', size=4)
+        else:
+            dst.createDimension(dimname=dimname, size=dimension.size)
+
+    lon0 = src['lon'][:]
+    lat0 = src['lat'][:]
+    lev0 = src['lev'][:]
+    ilev0 = src['ilev'][:]
+
+    print("Copying and Scaling variables now. Grab some coffee while you wait.")
+
+    for varname, variable in src.variables.items():
+        if varname == 'coupled_cmit':
+            varout = dst.createVariable(varname='coupled_mage', datatype=variable.datatype, dimensions=variable.dimensions)
+        else:
+            varout = dst.createVariable(varname=varname, datatype=variable.datatype, dimensions=variable.dimensions)
+
+        for name in variable.ncattrs():
+            setattr(varout, name, getattr(variable, name))
+
+        if varname == 'time':
+            varout[:] = variable[:]
+        elif varname == 'lon':
+            varout[:] = lon
+        elif varname == 'lat':
+            varout[:] = lat
+        elif varname == 'lev':
+            varout[:] = lev
+        elif varname == 'ilev':
+            varout[:] = ilev
+
+        elif varname == 'mtime':
+            if src.dimensions['mtimedim'].size == 3:
+                varout[:, 0: 3] = variable[:]
+                varout[:, 3] = 0
+            else:
+                varout[:] = variable[:]
+
+        elif varname in ['HE', 'HE_NM'] and allclose(variable, 0):
+            varout[:] = 0
+
+        elif variable.dimensions == ('time', 'lat', 'lon'):
+            for i in range(nt):
+                varout[i, :, :] = interp2d(variable=variable[i, :, :], inlat=lat0, inlon=lon0, outlat=lat, outlon=lon)
+
+        elif len(variable.dimensions) == 4:
+            if variable.dimensions == ('time', 'lev', 'lat', 'lon'):
+                if varname in fill_top:
+                    levin = lev0[:-1]
+                    v = variable[:, :-1, :, :]
+                else:
+                    levin = lev0
+                    v = variable
+                levout = lev
+            elif variable.dimensions == ('time', 'ilev', 'lat', 'lon'):
+                if varname in fill_top:
+                    levin = ilev0[:-1]
+                    v = variable[:, :-1, :, :]
+                else:
+                    levin = ilev0
+                    v = variable
+                levout = ilev
+            else:
+                exit('Invalid 4d field: '+varname)
+
+            for i in range(nt):
+                varout[i, :, :, :] = interp3d(variable=v[i, :, :, :], inlev=levin, inlat=lat0, inlon=lon0, outlev=levout, outlat=lat, outlon=lon, extrap=extrap_method[varname])
+
+            if varname in mixing_ratio:
+                v = varout[:]
+                v[v > 1] = 1
+                varout[:] = v
+
+        else:
+            varout[:] = variable[:]
+
+    for ext in ['', '_NM']:
+        try:
+            N2 = maximum(1 - src['O2'+ext][:] - src['O1'+ext][:] - src['HE'+ext][:], 1e-6)
+        except:
+            N2 = maximum(1 - src['O2'+ext][:] - src['O1'+ext][:] , 1e-6)
+
+        N2n = ndarray(shape=(nt, nlev, nlat, nlon))
+        for i in range(nt):
+            N2n[i, :, :, :] = interp3d(variable=N2[i, :, :, :], inlev=lev0, inlat=lat0, inlon=lon0, outlev=lev, outlat=lat, outlon=lon, extrap='exponential')
+        O1n = dst['O1'+ext][:]
+        try:
+            HEn = dst['HE'+ext][:]
+        except:
+            HEn = 0.
+        scale = (1 - dst['O2'+ext][:] - N2n) / (O1n + HEn)
+        dst['O1'+ext][:] = O1n * scale
+        try:
+            dst['HE'+ext][:] = HEn * scale
+        except:
+            dst.createVariable(varname='HE'+ext, datatype='f8', dimensions=('time','lev','lat','lon'))
+            dst['HE'+ext][:] = 0.
+
+    for varname in ['gzigm1', 'gzigm2', 'gnsrhs']:
+        if not varname in src.variables.keys():
+            newvarout = dst.createVariable(varname=varname, datatype='f8', dimensions=('time', 'lat', 'lon'))
+            newvarout[:] = 0
+
+    src.close()
+    dst.close()
+    
+    print("We're done now, so closing out the files")
diff --git a/scripts/master.inp b/scripts/master.inp
deleted file mode 100644
index f5f37e1..0000000
--- a/scripts/master.inp
+++ /dev/null
@@ -1,152 +0,0 @@
-&tgcm_input
-!
-! Master namelist file describing all namelist parameters.
-! This file serves as a reference for tiegcm namelist input parameters.
-! If unchanged, using this file for namelist input should result 
-!   in a default run (march equinox, solar min). 
-!
- LABEL = 'tiegcm res=5.0'
- START_YEAR = 2002
- START_DAY  = 80
- CALENDAR_ADVANCE = 1
-!
-! SOURCE:       Start-up history file (for initial runs only)
-! SOURCE_START: Time of history on start-up file (initial runs only)
-!
- SOURCE = '$TGCMDATA/tiegcm_res5.0_mareqx_smin_prim.nc'
- SOURCE_START = 80,0,0 ! source time
-!
-! START: Start time (day,hour,minute)
-! STOP:  Stop time (day,hour,minute)
-! STEP:  Timestep (seconds)
-!
- START = 80,0,0
- STOP  = 85,0,0
-!
-! Default step for sres is 60 seconds, although 120 can often
-! be used during quiet solar conditions.
-!
- STEP  = 60
-!
-! Primary History parameters:
-!
- HIST = 1,0,0
- OUTPUT = 'tiegcm.pcntr_mareqx_smin_001.nc'
- MXHIST_PRIM = 10
-!
-! Secondary History parameters:
-!
- SECSTART = 80,1,0
- SECSTOP  = 81,0,0
- SECHIST  =  0,1,0
- SECOUT   = 'tiegcm.scntr_mareqx_smin_001.nc'
- MXHIST_SECH = 24
- SECFLDS = 'TN','UN','VN','O2','O1','N2','NO','N4S','HE','NE','TE','TI',
-           'TEC','O2P','OMEGA','POTEN','UI_ExB','VI_ExB','WI_ExB','DEN',
-           'QJOULE','HMF2','NMF2','Z','ZG'
-!
-! Diagnostic fields available with this release:
-!SECFLDS = 'CO2_COOL','NO_COOL','DEN','HEATING','QJOULE','QJOULE_INTEG',
-!          'SIGMA_PED','SIGMA_HAL','TEC','UI_ExB','VI_ExB','WI_ExB',
-!          'LAMDA_PED','LAMDA_HAL','HMF2','NMF2','SCHT','MU_M','O_N2','WN',
-!          'BX','BY','BZ','BMAG','EX','EY','EZ','ED1','ED2','PHIM2D','N2',
-!          'CUSP','DRIZZLE','ALFA','NFLUX','EFLUX'
-!
-! These diagnostic currents are available only if namelist CURRENT_KQ = 1
-!	   'KQPHI','KQLAM','JQR','JE13D','JE23D' 
-!
-! If HPSS_PATH is set, a csh script will be made in the execdir that,
-! when executed, will copy history disk files to the NCAR HPSS in the 
-! directory HPSS_PATH (must have an HPSS account at NCAR CISL)
-!
-!HPSS_PATH = '/home/foster/tiegcm'
-!
-! Hough-mode tidal amplitudes and phases:
- TIDE = 0.,0.,0.,0.,0.,0.,0.,0.,0.,0.
- TIDE2 = 0.,0.
-!
-! At 5 deg resolution, use gswm migrating tides only.
-! At 2.5 deg resolution, optionally use both migrating 
-!   and non-migrating tides.
-!
- GSWM_MI_DI_NCFILE  = '$TGCMDATA/gswm_diurn_5.0d_99km.nc'
- GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_5.0d_99km.nc'
-!GSWM_NM_DI_NCFILE  = '$TGCMDATA/gswm_nonmig_diurn_5.0d_99km.nc'
-!GSWM_NM_SDI_NCFILE = '$TGCMDATA/gswm_nonmig_semi_5.0d_99km.nc'
-!
-! SABER tidal data for T,Z:
-!SABER_NCFILE = $TGCMDATA/
-!
-! TIDI tidal data for U,V:
-!TIDI_NCFILE = $TGCMDATA/
-!
-! Background tidal data for T,U,V,Z (one or the other file, not both):
-! BGRDDATA_NCFILE = '$TGCMDATA/bgndlbc_hwm_msis.nc'
-! BGRDDATA_NCFILE = '$TGCMDATA/bgndlbc_saber_hrdi.nc'
-!
-! CTMT_NCFILE = '$TGCMDATA/ctmt_tides.nc'
-!
-! Potential model can be 'HEELIS' (optionally with GPI data),
-! or 'WEIMER' (optionally with IMF data). If WEIMER, both IMF 
-! and GPI may be specified, but only f10.7 will be used from GPI.
-!
- POTENTIAL_MODEL = 'HEELIS'
-!POTENTIAL_MODEL = 'WEIMER'
-!
-! If potential model is HEELIS, GPI data can be used to calculate 
-! POWER and CTPOTEN from Kp data, and to use data for f10.7 flux. 
-! If GPI_NCFILE is specified, one or more of POWER,CTPOTEN,F107,F107A 
-! must be commented out (data will be used for those that are commented
-! out, otherwise the user-provided values will be used).
-!
-!GPI_NCFILE = '$TGCMDATA/gpi_1960001-2015365.nc'
-!
-! If KP is specified, and POWER and/or CTPOTEN are commented,
-! then the given KP will be used to calculate POWER and/or CTPOTEN
-!
-!KP = 2.0
- POWER   = 18.
- CTPOTEN = 30.
- F107    = 70.
- F107A   = 70.
-!
-! If potential model is WEIMER, data file IMF_NCFILE can be specified 
-! to read one or more of BXIMF,BYIMF,BZIMF,SWVEL,SWDEN. If IMF_NCFILE 
-! is specified and POWER is not provided, it will be calculated from 
-! BZ,SWVEL. Also, if IMF_NCFILE is provided, user cannot provide CTPOTEN 
-! (it will be calculated from the Weimer potential).
-!
-!IMF_NCFILE = '$TGCMDATA/imf_OMNI_2002001-2002365.nc'
-!
-!BXIMF   = 0.
-!BYIMF   = 0.
-!BZIMF   = -5.
-!SWVEL   = 400.
-!SWDEN   = 4.0
-!SEE_NCFILE = '$TGCMDATA/see__L3_merged_2005007_007.nc'
- AURORA = 1
- COLFAC = 1.5
- DYNAMO = 1
-!
-! If CURRENT_PG=1, current due to plasma pressure gradient and gravity is calculated
-! and included as a forcing term in the dynamo equation (default=1) (ignored if DYNAMO=0)
-!
- CURRENT_PG = 1
-!
-! If CURRENT_KQ=1, then height-integrated current density of current sheet, and
-! upward current density at the top of the ionosphere is calculated (default=0)
-! (ignored if DYNAMO=0) (see current.F90 to save JQR, JE13D, JE23D, KQPHI, KQLAM)
-!
- CURRENT_KQ = 0
-!
-! If calc_helium=1, helium is calculated as a major composition species.
-! If calc_helium=0, helium is zeroed out.
-!
- CALC_HELIUM = 1
-!
-! AMIE data files:
-!
-!AMIENH = '$TGCMDATA/amie_apr01_10_2010_nh_ssusi.nc'
-!AMIESH = '$TGCMDATA/amie_apr01_10_2010_sh_ssusi.nc'
-!AMIE_IBKG = 0
-/
diff --git a/scripts/mklogs b/scripts/mklogs
index ee70a83..4e555ae 100755
--- a/scripts/mklogs
+++ b/scripts/mklogs
@@ -1,120 +1,103 @@
-#!/usr/bin/env python
-import os,sys
-#
-# Each file argument is an mpi stdout log file from yellowstone, with
-#   a list of mpi tasks that printed the line prepended to each line.
-# This code creates a new file "taskfile" for each mpi task, and
-#   writes each line that task printed to its taskfile.
-#
-#-----------------------------------------------------------------------
+#!/usr/bin/env python3
+import os, sys
 
-def make_taskfile(filename,proc):
-  dot = '.'
-  parts = file.split(dot)
-  parts.pop(len(parts)-1)
-  fileroot = dot.join(parts)
-  if proc < 10:
-    procnum = '000'+str(proc)
-  elif proc < 100:
-    procnum = '00'+str(proc)
-  elif proc < 1000:
-    procnum = '0'+str(proc)
-  else:
-    procnum = str(proc)
-  taskfile = fileroot+'_task'+procnum+'.out'
-  return taskfile
-  
-#-----------------------------------------------------------------------
+# This script processes MPI stdout log files. Each line in the log file may 
+# be associated with one or more MPI tasks. The script splits the lines from 
+# the original log file into separate files, each containing output from a 
+# specific MPI task.
 
+def make_taskfile(filename, proc):
+    """Generate a task-specific filename based on the given MPI task number."""
+    dot = '.'
+    parts = filename.split(dot)
+    parts.pop(len(parts)-1)
+    fileroot = dot.join(parts)
+    
+    # Format process number to have leading zeros
+    if proc < 10:
+        procnum = '000' + str(proc)
+    elif proc < 100:
+        procnum = '00' + str(proc)
+    elif proc < 1000:
+        procnum = '0' + str(proc)
+    else:
+        procnum = str(proc)
+
+    # Return the new task-specific filename
+    taskfile = fileroot + '_task' + procnum + '.out'
+    return taskfile
+
+# Check for command line arguments
 if len(sys.argv) == 1:
-  print 'mklogs: Need at least one file argument.'
-  sys.exit()
+    print('mklogs: Need at least one file argument.')
+    sys.exit()
 
+# Process each file passed as an argument
 for arg in sys.argv[1:]:
-  file = arg
-  if not os.path.isfile(file):
-    print '>>> mklogs: Could not open file ',file
-    continue
-#
-# Open, read, and close arg file:
-#
-  f = open(file,'r')
-  print 'mklogs: Extracting log files from ',file
-  lines = f.readlines()  
-  lines = [line.rstrip() for line in lines]
-  f.close()
-#
-# For each line:
-# There are 3 possible prefix types on each line (before the first ":")
-#   One or more procs: 20,27,49,56
-#   Range of procs:    36-40
-#   Combination:       17,32-33,37-40,47
-#
-  proclist = []                  # list of procs for each line (2d)
-  maxproc = -1
-  for line in lines:
-    line = line.split(':')
-    procs = line[0]             # procs definition (3 possible, as described above)
-    procs = procs.split(',')    # list of 1 or more procs and/or ranges
-    plist = []                  # will be list of procs for this line
-    for string in procs:
-      if '-' not in string:     # not a range, append the proc 
-        plist.append(string)
-      else:                     # append range of procs, e.g., "36-40"
-        list = string.split('-')
-#
-# Make sure we are dealing with integer strings:
-#
-        try: int(list[0])
-	except: continue
-        try: int(list[1])
-	except: continue
-#
-# Loop over procs within range, inclusive:
-#
-        proc0 = int(list[0])
-        proc1 = int(list[1])
-        proc = proc0
-        while proc <= proc1:      # loop over procs within range 
-          plist.append(str(proc)) # append each proc to plist
-          proc = proc+1
+    filename = arg
+    if not os.path.isfile(filename):
+        print(f'>>> mklogs: Could not open file {filename}')
+        continue
+
+    # Read the file and strip unnecessary whitespaces
+    with open(filename, 'r') as f:
+        print(f'mklogs: Extracting log files from {filename}')
+        lines = f.readlines()
+        lines = [line.rstrip() for line in lines]
+
+    # List to store the MPI tasks associated with each line
+    proclist = []
+    maxproc = -1  # Track the highest task number
+    for line in lines:
+        line_parts = line.split(':')
+        procs = line_parts[0]
+        procs = procs.split(',')
+        plist = []
+
+        # Process the MPI tasks string, which could be individual numbers or ranges
+        for string in procs:
+            if '-' not in string:  # Single MPI task
+                plist.append(string)
+            else:  # Range of MPI tasks
+                list_range = string.split('-')
+                try:
+                    start = int(list_range[0])
+                    end = int(list_range[1])
+                except ValueError:
+                    continue
+                # Add each task in the range to the list
+                for proc in range(start, end + 1):
+                    plist.append(str(proc))
+
+            # Update the highest task number found
+            for proc in plist:
+                try:
+                    val = int(proc)
+                except ValueError:
+                    continue
+                if val > maxproc:
+                    maxproc = val
+
+        # Store the list of MPI tasks for this line
+        proclist.append(plist)
+
+    # Create a new file for each MPI task
+    files = []
+    for nproc in range(maxproc + 1):
+        taskfile = make_taskfile(filename, nproc)
+        files.append(open(taskfile, 'w'))
 
-      for proc in plist:          # update maxproc
-        try: int(proc)
-        except: continue
-        if int(proc) > maxproc: maxproc = int(proc)
-#
-# append plist to proclist for current line in file:
-#
-    proclist.append(plist)        
-#
-# Now open all maxproc+1 task files for writing (0->maxproc):
-#
-  f = [] # file descriptors
-  nproc = 0
-  while nproc <= maxproc:
-    taskfile = make_taskfile(file,nproc)
-    f.append('f'+str(nproc))
-    f[nproc] = open(taskfile,'w')
-    nproc = nproc+1 
-#
-# Write text from each line to each procfile in proclist[nline]:
-#
-  nline = 0
-  for line in lines:
-    line = line.split(':')
-    for proc in proclist[nline]: 
-      try: int(proc)
-      except: continue
-      string = ''.join(line[1:])
-      f[int(proc)].write(string+'\n')
-    nline = nline+1
-#
-# Close task files:
-#
-  nproc = 0
-  while nproc <= maxproc:
-    f[nproc].close()
-    nproc = nproc+1
+    # Distribute lines from the original file to the task-specific files
+    for idx, line in enumerate(lines):
+        line_parts = line.split(':')
+        for proc in proclist[idx]:
+            try:
+                val = int(proc)
+            except ValueError:
+                continue
+            string = ''.join(line_parts[1:])
+            files[val].write(string + '\n')
 
-# End args loop
+    # Close all the task-specific files
+    for file in files:
+        file.close()
diff --git a/scripts/rmbinchars b/scripts/rmbinchars
index 579b4a5..d27cd85 100755
--- a/scripts/rmbinchars
+++ b/scripts/rmbinchars
@@ -1,39 +1,33 @@
-#!/usr/bin/env python
+#!/usr/bin/env python3
 import sys
-#
-# Remove non-ASCII characters in input file(s):
-#
+
 def strip_non_ascii(string):
-    ''' Returns the string without non ASCII characters'''
+    '''Returns the string without non-ASCII characters'''
     stripped = (c for c in string if 0 < ord(c) < 127)
     return ''.join(stripped)
 
 if len(sys.argv) == 1:
-  print '>>> Please provide input files from which to remove non-ASCII characters.'
-  sys.exit()
+    print('>>> Please provide input files from which to remove non-ASCII characters.')
+    sys.exit()
 
 for infile in sys.argv[1:]:
-# print 'Reading file ',infile
-  f = open(infile,'r')
-  lines = f.readlines()
-  lines = [line.rstrip() for line in lines]
-  f.close()
-#
-# Overwrite input file:
-#
-  f = open(infile,'w')
-  print 'Overwriting file ',infile,' with non-ASCII characters removed.'
-  for line in lines:
-    newline = strip_non_ascii(line)
-    f.write(newline+'\n')
-  f.close()
-#
-# Write to output file infile.txt:
-#
-# outfile = infile+'.txt'
-# print 'Writing file ',outfile
-# f = open(outfile,'w')
-# for line in lines:
-#   newline = strip_non_ascii(line)
-#   f.write(newline+'\n')
-# f.close()
+    # Using with statement to ensure proper file closure
+    with open(infile, 'r', encoding='utf-8', errors='ignore') as f:
+        lines = f.readlines()
+        lines = [line.rstrip() for line in lines]
+
+    # Overwrite input file:
+    with open(infile, 'w', encoding='utf-8') as f:
+        print(f'Overwriting file {infile} with non-ASCII characters removed.')
+        for line in lines:
+            newline = strip_non_ascii(line)
+            f.write(newline + '\n')
+
+    # If you want to write to an output file instead of overwriting the input file, uncomment below:
+    # outfile = infile + '.txt'
+    # with open(outfile, 'w', encoding='utf-8') as f:
+    #     print(f'Writing file {outfile}')
+    #     for line in lines:
+    #         newline = strip_non_ascii(line)
+    #         f.write(newline + '\n')
+
diff --git a/scripts/run.lsf b/scripts/run.lsf
deleted file mode 100644
index e1ec6dc..0000000
--- a/scripts/run.lsf
+++ /dev/null
@@ -1,47 +0,0 @@
-#!/bin/tcsh
-#
-# Example LSF script to run a pre-built tiegcm executable,
-#   using the mpirun.lsf command.
-# Submit to LSF with "bsub < run.lsf"
-# This is usually executed in the tiegcm execdir, with stdin
-#   and stdout files in the working directory, but this can
-#   be changed by setting shell variables below.
-# This script can be generated by tiegcm job script tiegcm-ys.job
-#
-#BSUB -J tiegcm
-#BSUB -P P28100036
-#BSUB -q regular
-#BSUB -o tiegcm.%J.out
-#BSUB -e tiegcm.%J.out
-#BSUB -N
-#BSUB -u $LOGNAME@ucar.edu
-#BSUB -W 0:30
-#
-# Recommended for single-res (5.0 deg):
-# -n16,ptile=16 (1 node, 16 procs/node)
-#BSUB -n 16
-#BSUB -R "span[ptile=16]"
-#
-# Recommended for double-res (2.5 deg): 
-# -n64,ptile=16 (4 nodes, 16 procs/node)
-##BSUB -n 64
-##BSUB -R "span[ptile=16]"
-#
-setenv MP_LABELIO YES
-setenv MP_SHARED_MEMORY yes
-
-set exec   = ./tiegcm_trunk
-set wrkdir = /glade/u/home/$user/tiegcm
-set input  = $wrkdir/tiegcm.inp
-set output = $wrkdir/tiegcm.out
-set modeldir = $wrkdir/tiegcm_trunk # only for mklogs
-#
-# Execute:
-mpirun.lsf $exec < $input >&! $output
-#
-# Execute and get memory usage 
-# (module job_memusage must be loaded):
-#mpirun.lsf job_memusage.exe $exec < $input >&! $output
-#
-# Sort stdout into one file per task:
-$modeldir/scripts/mklogs $output
diff --git a/scripts/run.pbs b/scripts/run.pbs
new file mode 100644
index 0000000..cc0d638
--- /dev/null
+++ b/scripts/run.pbs
@@ -0,0 +1,25 @@
+#!/bin/bash
+#PBS -N tiegcm
+#PBS -A P28100036
+#PBS -q main
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l job_priority=regular
+#PBS -l select=1:ncpus=64:mpiprocs=64:mem=200gb
+#PBS -l walltime=12:00:00
+
+export TGCMDATA=/glade/p/hao/tgcm/data
+
+# Execute:
+cd /glade/derecho/scratch/phamkh/tiegcm2.5/tiegcm.exec
+mpirun -np 64 /glade/derecho/scratch/phamkh/tiegcm2.5/tiegcm.exec/tiegcm.exe /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm2.5_default.inp >& /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm.out
+
+# Save stdout:
+/glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/rmbinchars /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm.out # remove any non-ascii chars in stdout file
+/glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/mklogs /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm.out     # break stdout into per-task log files
+cd /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts
+
+# Make tar file of task log files:
+tar -cf /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm.out.tar *task*.out
+echo "Saved stdout tar file /glade/u/home/phamkh/tiegcmrc/TIEGCM2.5/scripts/tiegcm.out.tar"
+rm *task*.out
diff --git a/scripts/tiegcm-ch-bash.job b/scripts/tiegcm-ch-bash.job
new file mode 100755
index 0000000..a690141
--- /dev/null
+++ b/scripts/tiegcm-ch-bash.job
@@ -0,0 +1,340 @@
+#!/bin/bash
+#
+# Job script to build and execute TIEGCM on the NCAR supercomputer cheyenne,
+# or similar system running PBS (Load Sharing Facility)
+#
+# This script should be executed on the cheyenne command line.
+# It will compile in execdir on the interactive login node, then create and
+# submit an PBS script based on the #PBS resources specified below.
+#
+# User should set shell variables and #PBS settings below:
+#
+#   modeldir:  Root directory to model source (may be an SVN working dir)
+#   execdir:   Directory in which to build and execute (will be created if necessary)
+#   tgcmdata:  Directory in which startup history and data files are accessed.
+#              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
+#   input:     Namelist input file for the chosen model resolution
+#   output:    Stdout file from model execution (will be created)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
+#   make:      Build file with platform-specific compile parameters (in scripts dir)
+#   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
+#   runscript: PBS script with run commands (submitted with qsub from execdir)
+#
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
+# and change execdir, tgcmdata and namelist input if necessary.
+# Also reset number of processors accordingly below (#PBS -l).
+#
+modeldir=$TGCMHOME
+execdir="/glade/scratch/$USER/tiegcm"
+tgcmdata="/glade/p/hao/tgcm/data"
+utildir="$modeldir/scripts"
+input="$utildir/tiegcm_default.inp"
+output="tiegcm.out"
+horires="2.5"
+vertres="0.25"
+zitop=7
+nres_grid=5
+coupling="FALSE"
+make="Make.intel_ch"
+debug="FALSE"
+execute="FALSE"
+runscript="run.pbs"
+
+project_code="P28100036"
+queue="regular"
+nnodes=1
+ncores_per_node=36
+walltime="12:00:00"
+nprocs=$(($nnodes*$ncores_per_node))
+
+execdir=`perl $utildir/abspath $execdir`
+runscript=`perl $utildir/abspath $runscript`
+if [ ! -d $execdir ]
+then
+  mkdir -p $execdir
+fi
+#
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#                               End user settings
+#                        Shell Script for TIEGCM Linux job
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#
+# Necessary modules on cheyenne
+#module load esmf_libs/8.3.0 esmf-8.3.0-ncdfio-mpt-O
+#
+mycwd=`pwd`
+echo "" ; echo "${0}:"
+echo "  Begin execution at `date`"
+echo "  Current working directory: $mycwd"
+echo "  System: `uname -a`"
+echo ""
+#
+# Verify directories and make_machine file (make execdir if necessary).
+# Get absolute path for dirs that are accessed from the execdir.
+#
+if [ ! -d $modeldir ]
+then
+  echo ">>> Cannot find model directory $modeldir <<<"
+  exit 1
+fi
+#
+# Executable file name:
+modelexe=tiegcm.exe
+
+if [ ! -d $utildir ]
+then
+  echo ">>> Cannot find model scripts directory $utildir <<<"
+  exit 1
+fi
+utildir=`perl $utildir/abspath $utildir`
+
+srcdir=$modeldir/src
+if [ ! -d $srcdir ]
+then
+  echo ">>> Cannot find model source directory $srcdir <<<"
+  exit 1
+fi
+srcdir=`perl $utildir/abspath $srcdir`
+#
+# Set data directory:
+#   If tgcmdata is set above, use it to set (override) env var TGCMDATA
+#   If tgcmdata not set above, use env var TGCMDATA
+#   If neither are set, print a warning and set both to cwd.
+#   Finally, print warning if the directory does not exist.
+#
+if [ -v tgcmdata ]
+then
+  tgcmdata=`perl $utildir/abspath $tgcmdata`
+  export TGCMDATA=$tgcmdata
+  echo "Set env var TGCMDATA = $TGCMDATA"
+else
+  if [ -v TGCMDATA ]
+  then
+    tgcmdata=$TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
+  else
+    echo "WARNING: TGCMDATA is not set - using cwd"
+    tgcmdata=.
+    export TGCMDATA=$tgcmdata
+  fi
+fi
+if [ ! -d $tgcmdata ]
+then
+  echo ">>> Cannot find data directory $tgcmdata"
+fi
+
+if [ $horires != "5" ] && [ $horires != "2.5" ] && [ $horires != "1.25" ] && [ $horires != "0.625" ]
+then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+fi
+if [ $vertres != "0.5" ] && [ $vertres != "0.25" ] && [ $vertres != "0.125" ] && [ $vertres != "0.0625" ]
+then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
+  exit 1
+fi
+#
+# Copy make files to execdir if necessary:
+#
+if [ ! -f $execdir/$make ]
+then
+  cp $utildir/$make $execdir
+fi
+if [ ! -f $execdir/Makefile ]
+then
+  cp $utildir/Makefile $execdir
+fi
+if [ ! -f $execdir/mkdepends ]
+then
+  cp $utildir/mkdepends $execdir
+fi
+#
+# Make default namelist input file if not provided by user:
+#
+if [ ! -f $input ]
+then
+  echo ">>> Cannot find namelist input file $input <<<"
+  exit 1
+fi
+
+model=$execdir/$modelexe
+input=`perl $utildir/abspath $input`
+output=`perl $utildir/abspath $output`
+util=`perl $utildir/abspath $utildir`
+mklogs=$util/mklogs         # Nov, 2015: mklogs rewritten in python
+rmbinchars=$util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
+#
+# Report to stdout:
+#
+if [ -x `command -v svnversion` ]
+then
+  svn_version=`svnversion $modeldir`
+else
+  svn_version="[none]"
+fi
+#svn_revision="tiegcm2.5" # for svn tag instead of revision number
+
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
+echo "  Exec directory:    $execdir"
+echo "  Source directory:  $srcdir"
+echo "  Data directory:    $tgcmdata"
+echo "  Make machine file: $make"
+echo "  Namelist input:    $input"
+echo "  Stdout Output:     $output"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
+echo "  Debug:             $debug"
+#
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if [ -f $execdir/coupling ]
+then
+  lastcoupling=`cat $execdir/coupling`
+  if [ $lastcoupling != $coupling ]
+  then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling > $execdir/coupling
+  fi
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+fi
+#
+# If debug flag has changed from last gmake, clean execdir
+# and reset debug file:
+#
+if [ -f $execdir/debug ]
+then
+  lastdebug=`cat $execdir/debug`
+  if [ $lastdebug != $debug ]
+  then
+    echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $debug > $execdir/debug
+  fi
+else
+  echo $debug > $execdir/debug
+  echo "Created file debug with debug flag = $debug"
+fi
+#
+# Copy defs header file to execdir, if necessary, according to
+# requested resolution. This should seamlessly switch between
+# resolutions according to $horires and $vertres.
+#
+defs=defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
+if [ -f $execdir/defs.h ]
+then
+  cmp -s $execdir/defs.h $defs
+  status=$?
+  if [ $status -ne 0 ]
+  then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    cp $defs $execdir/defs.h
+  else
+    echo "defs.h already set for model resolution $horires x $vertres"
+  fi
+else # defs.h does not exist in execdir -> copy appropriate defs file
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
+  cp $defs $execdir/defs.h
+fi
+#
+# cd to execdir and run make:
+#
+cd $execdir
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+fi
+echo ""
+echo "Begin building $model in `pwd`"
+#
+# Build Make.env file in exec dir, containing needed env vars for Makefile:
+#
+cat << EOF > Make.env
+MAKE_MACHINE  = $make
+DIRS          = . $srcdir
+EXECNAME      = $model
+NAMELIST      = $input
+OUTPUT        = $output
+COUPLING      = $coupling
+DEBUG         = $debug
+SVN_REVISION  = $svn_revision
+EOF
+#
+# Build the model:
+gmake -j8 all
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Error return from gmake all"
+  exit 1
+fi
+#
+# Set PBS resource usage (create the runscript in execdir):
+# (run commands are appended to this script below)
+#
+# Set data directory in PBS script:
+#
+# MPI/PBS job: append mpirun.command command to PBS script
+# (it has #PBSs from above)
+#
+cat << EOF > $runscript
+#!/bin/bash
+#PBS -N tiegcm
+#PBS -A $project_code
+#PBS -q $queue
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l select=${nnodes}:ncpus=${ncores_per_node}:mpiprocs=${ncores_per_node}
+#PBS -l walltime=$walltime
+
+export TGCMDATA=$tgcmdata
+
+# Execute:
+cd $execdir
+`cat mpirun.command` -np $nprocs $model $input >& $output
+
+# Save stdout:
+$rmbinchars $output # remove any non-ascii chars in stdout file
+$mklogs $output     # break stdout into per-task log files
+cd `dirname $output`
+
+# Make tar file of task log files:
+tar -cf $output.tar *task*.out
+echo "Saved stdout tar file $output.tar"
+rm *task*.out
+EOF
+#
+if [ $execute == "TRUE" ]
+then
+  echo " "
+  echo "Submitting PBS script $runscript for MPI run"
+  qsub < $runscript
+else
+  echo "Am NOT executing the model because execute = $execute"
+fi
+#
+exit 0
diff --git a/scripts/tiegcm-ch.job b/scripts/tiegcm-ch-tcsh.job
similarity index 53%
rename from scripts/tiegcm-ch.job
rename to scripts/tiegcm-ch-tcsh.job
index b71d0e2..a1ed42c 100755
--- a/scripts/tiegcm-ch.job
+++ b/scripts/tiegcm-ch-tcsh.job
@@ -1,89 +1,75 @@
 #!/bin/tcsh
-# Job script to build and execute TIEGCM on the NCAR supercomputer yellowstone,
+#
+# Job script to build and execute TIEGCM on the NCAR supercomputer cheyenne,
 # or similar system running PBS (Load Sharing Facility)
 #
-# This script should be executed on the yellowstone command line.
-# It will compile in execdir on the interactive login node, then create and 
-# submit an PBS script based on the #QSUB resources specified below.
+# This script should be executed on the cheyenne command line.
+# It will compile in execdir on the interactive login node, then create and
+# submit an PBS script based on the #PBS resources specified below.
 #
-# User should set shell variables and #QSUB settings below:
+# User should set shell variables and #PBS settings below:
 #
 #   modeldir:  Root directory to model source (may be an SVN working dir)
 #   execdir:   Directory in which to build and execute (will be created if necessary)
 #   tgcmdata:  Directory in which startup history and data files are accessed.
 #              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
 #   input:     Namelist input file for the chosen model resolution
 #   output:    Stdout file from model execution (will be created)
-#   modelres:  Model resolution (5.0 or 2.5 degrees)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
 #   make:      Build file with platform-specific compile parameters (in scripts dir)
-#   mpi:       TRUE/FALSE for MPI run (non-MPI runs are not supported in v2.0 and later)
 #   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
-#   exec:      If TRUE, execute the model (build only if exec is FALSE)
-#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
-#   runscript: PBS script with run commands (submitted with bsub from execdir)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
+#   runscript: PBS script with run commands (submitted with qsub from execdir)
 #
-# To switch to 2.5-deg resolution, set modelres below to 2.5,
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
 # and change execdir, tgcmdata and namelist input if necessary.
-# Also reset number of processors accordingly below (#BSUB -n).
-#
-set modeldir = ./tiegcm-master/
-set execdir  = /glade/scratch/$user/tiegcm-master/tiegcm.exec
-set tgcmdata = /glade/p/hao/tgcm/data/tiegcm2.0
-set input    = $modeldir/scripts/tiegcm_res2.5_default.inp
-set output   = tiegcm.out
-set modelres = 2.5
-set make     = Make.intel_ch
-set mpi       = TRUE   # must be TRUE for tiegcm2.0 and later
-set debug     = FALSE
-set exec      = TRUE
+# Also reset number of processors accordingly below (#PBS -l).
+#
+set modeldir  = $TGCMHOME
+set execdir   = /glade/scratch/$user/tiegcm
+set tgcmdata  = /glade/p/hao/tgcm/data
 set utildir   = $modeldir/scripts
+set input     = $utildir/tiegcm_default.inp
+set output    = tiegcm.out
+set horires   = 2.5
+set vertres   = 0.25
+set zitop     = 7
+set nres_grid = 5
+set coupling  = FALSE
+set make      = Make.intel_ch
+set debug     = FALSE
+set execute   = FALSE
 set runscript = run.pbs
 
+set project_code    = P28100036
+set queue           = regular
+set nnodes          = 1
+set ncores_per_node = 36
+set walltime        = "12:00:00"
+@ nprocs            = $nnodes * $ncores_per_node
+
 set execdir   = `perl $utildir/abspath $execdir`
 set runscript = `perl $utildir/abspath $runscript`
 if (! -d $execdir) mkdir -p $execdir
 #
-# Set PBS resource usage (create the runscript in execdir):
-# (run commands are appended to this script below)
-#
-cat << EOF >! $runscript
-#!/bin/tcsh
-#
-#PBS -N tiegcm
-#PBS -A P28100036
-##PBS -A NHAO0004
-#PBS -q regular
-#PBS -o tiegcm.out
-#PBS -j oe
-#PBS -m abe
-#PBS -M $user@ucar.edu
-#PBS -l walltime=00:30:00
-#
-# Recommended for double-res (2.5 deg) tiegcm: 
-# -n64,ptile=16 (4 nodes, 16 procs/node)
-# Note: -n 1 is permitted.
-# For 2.5-deg res, STEP= 30, nproc=64, allow 8.5 mins per simulated day (0.17 secs/step)
-# For 2.5-deg res, STEP= 60, nproc=64, allow 4.5 mins per simulated day (0.17 secs/step)
-#
-#  (2 nodes, 32 procs/node)
-#PBS -l select=2:ncpus=36:mpiprocs=36
-#
-EOF
-#
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #                               End user settings
 #                        Shell Script for TIEGCM Linux job
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #
-# Update ESMF module on ch as of 8/20
-set lib_esmf = esmf-8.0.0-ncdfio-mpi-O
-module load esmf_libs/8.0.0 $lib_esmf
+# Necessary modules on cheyenne
+#module load esmf_libs/8.3.0 esmf-8.3.0-ncdfio-mpt-O
 #
 set mycwd = `pwd`
 echo "" ; echo "${0}:"
 echo "  Begin execution at `date`"
 echo "  Current working directory: $mycwd"
-echo "  System: `uname -a`"  
+echo "  System: `uname -a`"
 echo ""
 #
 # Verify directories and make_machine file (make execdir if necessary).
@@ -95,15 +81,15 @@ if (! -d $modeldir) then
 endif
 #
 # Executable file name:
-set model = tiegcm.exe
+set modelexe = tiegcm.exe
 
 if (! -d $utildir) then
-  echo ">>> Cannot find model scripts directory $utildir <<<" 
+  echo ">>> Cannot find model scripts directory $utildir <<<"
   exit 1
 endif
 set utildir = `perl $utildir/abspath $utildir`
 
-set srcdir  = $modeldir/src
+set srcdir = $modeldir/src
 if (! -d $srcdir) then
   echo ">>> Cannot find model source directory $srcdir <<<"
   exit 1
@@ -119,21 +105,25 @@ set srcdir = `perl $utildir/abspath $srcdir`
 if ($?tgcmdata) then
   set tgcmdata = `perl $utildir/abspath $tgcmdata`
   setenv TGCMDATA $tgcmdata
-  echo Set env var TGCMDATA = $TGCMDATA
+  echo "Set env var TGCMDATA = $TGCMDATA"
 else
   if ($?TGCMDATA) then
     set tgcmdata = $TGCMDATA
-    echo Set tgcmdata = $TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
   else
-    echo WARNING: TGCMDATA is not set - using cwd
+    echo "WARNING: TGCMDATA is not set - using cwd"
     set tgcmdata = .
     setenv TGCMDATA $tgcmdata
   endif
 endif
 if (! -d $tgcmdata) echo ">>> Cannot find data directory $tgcmdata"
 
-if ($modelres != 5.0 && $modelres != 2.5) then
-  echo ">>> Unknown model resolution $modelres <<<"
+if ($horires != 5 && $horires != 2.5 && $horires != 1.25 && $horires != 0.625) then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+endif
+if ($vertres != 0.5 && $vertres != 0.25 && $vertres != 0.125 && $vertres != 0.0625) then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
   exit 1
 endif
 #
@@ -150,7 +140,7 @@ if (! -f $input) then
   exit 1
 endif
 
-set model  = $execdir/$model
+set model  = $execdir/$modelexe
 set input  = `perl $utildir/abspath $input`
 set output = `perl $utildir/abspath $output`
 set util   = `perl $utildir/abspath $utildir`
@@ -159,25 +149,45 @@ set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdou
 #
 # Report to stdout:
 #
- set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
-#set svn_revision = 'tiegcm2.0' # for svn tag instead of revision number
+if (`where svnversion` == "") then
+  set svn_revision = `svnversion $modeldir`
+else
+  set svn_revision = "[none]"
+endif
+#set svn_revision = "tiegcm2.5" # for svn tag instead of revision number
 
-echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
 echo "  Exec directory:    $execdir"
 echo "  Source directory:  $srcdir"
 echo "  Data directory:    $tgcmdata"
 echo "  Make machine file: $make"
 echo "  Namelist input:    $input"
 echo "  Stdout Output:     $output"
-echo "  Model resolution:  $modelres"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
 echo "  Debug:             $debug"
-echo "  MPI job:           $mpi"
+#
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if (-f $execdir/coupling) then
+  set lastcoupling = `cat $execdir/coupling`
+  if ($lastcoupling != $coupling) then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling >! $execdir/coupling
+  endif
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+endif
 #
 # If debug flag has changed from last gmake, clean execdir
 # and reset debug file:
 #
 if (-f $execdir/debug) then
-  set lastdebug = `cat $execdir/debug` 
+  set lastdebug = `cat $execdir/debug`
   if ($lastdebug != $debug) then
     echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
     set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
@@ -188,43 +198,43 @@ else
   echo "Created file debug with debug flag = $debug"
 endif
 #
-# If mpi flag has changed from last gmake, clean execdir
-# and reset mpi file:
-#
-if (-f $execdir/mpi) then
-  set lastmpi = `cat $execdir/mpi` 
-  if ($lastmpi != $mpi) then
-    echo "Clean execdir $execdir because mpi flag switched from $lastmpi to $mpi"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $mpi >! $execdir/mpi
-  endif
-else
-  echo $mpi >! $execdir/mpi
-  echo "Created file mpi with mpi flag = $mpi"
-endif
-#
-# Copy defs header file to execdir, if necessary, according to 
+# Copy defs header file to execdir, if necessary, according to
 # requested resolution. This should seamlessly switch between
-# resolutions according to $modelres.
+# resolutions according to $horires and $vertres.
 #
-set defs = $srcdir/defs5.0
-if ($modelres == 2.5) set defs = $srcdir/defs2.5
+set defs = defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
 if (-f $execdir/defs.h) then
   cmp -s $execdir/defs.h $defs
-  if ($status == 1) then # files differ -> switch resolutions
-    echo "Switching defs.h for model resolution $modelres"
+  if ($status != 0) then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
     cp $defs $execdir/defs.h
   else
-    echo "defs.h already set for model resolution $modelres"
-  endif 
+    echo "defs.h already set for model resolution $horires x $vertres"
+  endif
 else # defs.h does not exist in execdir -> copy appropriate defs file
-  echo "Copying $defs to $execdir/defs.h for resolution $modelres"
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
   cp $defs $execdir/defs.h
 endif
 #
 # cd to execdir and run make:
 #
-cd $execdir || echo ">>> Cannot cd to execdir $execdir" && exit 1
+cd $execdir
+if ($status != 0) then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+endif
 echo ""
 echo "Begin building $model in `pwd`"
 #
@@ -232,61 +242,63 @@ echo "Begin building $model in `pwd`"
 #
 cat << EOF >! Make.env
 MAKE_MACHINE  = $make
-DIRS          = . $srcdir 
-MPI           = $mpi
+DIRS          = . $srcdir
 EXECNAME      = $model
 NAMELIST      = $input
 OUTPUT        = $output
+COUPLING      = $coupling
 DEBUG         = $debug
 SVN_REVISION  = $svn_revision
 EOF
 #
 # Build the model:
-gmake -j8 all || echo ">>> Error return from gmake all" && exit 1
-#
-if ($exec == "FALSE") then
-  echo "Am NOT executing the model because exec = $exec"
-  exit 0
+gmake -j8 all
+if ($status != 0) then
+  echo ">>> Error return from gmake all"
+  exit 1
 endif
 #
-# Set data directory in LSF script:
-#
-cat << EOF >> $runscript
-  setenv TGCMDATA $tgcmdata
-EOF
+# Set PBS resource usage (create the runscript in execdir):
+# (run commands are appended to this script below)
 #
-# MPI/LSF job: append mpirun.lsf command to LSF script 
-# (it has #BSUBs from above)
+# Set data directory in PBS script:
 #
-if ($mpi == "TRUE") then  # MPI LSF job
-  cat << EOF >> $runscript
-  setenv MP_LABELIO YES
-  setenv MP_SHARED_MEMORY yes
+# MPI/PBS job: append mpirun.command command to PBS script
+# (it has #PBSs from above)
 #
+cat << EOF >! $runscript
+#!/bin/tcsh
+#PBS -N tiegcm
+#PBS -A $project_code
+#PBS -q $queue
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l select=${nnodes}:ncpus=${ncores_per_node}:mpiprocs=${ncores_per_node}
+#PBS -l walltime=$walltime
+
+export TGCMDATA=$tgcmdata
+
 # Execute:
-  mpiexec_mpt -p "%g:" $model $input >&! $output
-#
+cd $execdir
+`cat mpirun.command` -np $nprocs $model $input >&! $output
+
 # Save stdout:
-  $rmbinchars $output # remove any non-ascii chars in stdout file
-  $mklogs $output     # break stdout into per-task log files
-  cd $output:h
-#
+$rmbinchars $output # remove any non-ascii chars in stdout file
+$mklogs $output     # break stdout into per-task log files
+cd `dirname $output`
+
 # Make tar file of task log files:
-  tar -cf $output.tar *task*.out 
-  echo Saved stdout tar file $output.tar 
-  rm *task*.out
+tar -cf $output.tar *task*.out
+echo "Saved stdout tar file $output.tar"
+rm *task*.out
 EOF
+#
+if ($execute == "TRUE") then
   echo " "
   echo "Submitting PBS script $runscript for MPI run"
   qsub < $runscript
-#
-# Non-mpi job: simple execution statement on the interactive node.
-# If you want to submit lsf job, you can use a here-doc like above
-# to put the execution statement in the runscript, then submit with
-# bsub as above.
-#
 else
-  echo "Executing serial non-MPI run in background on the interactive node.." 
-  $model < $input >&! $output &
+  echo "Am NOT executing the model because execute = $execute"
 endif
+#
 exit 0
diff --git a/scripts/tiegcm-de-bash.job b/scripts/tiegcm-de-bash.job
new file mode 100755
index 0000000..73990f7
--- /dev/null
+++ b/scripts/tiegcm-de-bash.job
@@ -0,0 +1,344 @@
+#!/bin/bash
+#
+# Job script to build and execute TIEGCM on the NCAR supercomputer derecho,
+# or similar system running PBS (Load Sharing Facility)
+#
+# This script should be executed on the derecho command line.
+# It will compile in execdir on the interactive login node, then create and
+# submit an PBS script based on the #PBS resources specified below.
+#
+# User should set shell variables and #PBS settings below:
+#
+#   modeldir:  Root directory to model source (may be an SVN working dir)
+#   execdir:   Directory in which to build and execute (will be created if necessary)
+#   tgcmdata:  Directory in which startup history and data files are accessed.
+#              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
+#   input:     Namelist input file for the chosen model resolution
+#   output:    Stdout file from model execution (will be created)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
+#   make:      Build file with platform-specific compile parameters (in scripts dir)
+#   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
+#   runscript: PBS script with run commands (submitted with qsub from execdir)
+#
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
+# and change execdir, tgcmdata and namelist input if necessary.
+# Also reset number of processors accordingly below (#PBS -l).
+#
+modeldir=$TGCMHOME
+execdir="/glade/derecho/scratch/$USER/tiegcm"
+tgcmdata="/glade/p/hao/tgcm/data"
+utildir="$modeldir/scripts"
+input="$utildir/tiegcm_default.inp"
+output="tiegcm.out"
+horires="2.5"
+vertres="0.25"
+zitop=7
+nres_grid=5
+coupling="FALSE"
+make="Make.intel_de"
+debug="FALSE"
+execute="FALSE"
+runscript="run.pbs"
+
+project_code="P28100036"
+queue="main"
+job_priority="regular"
+nnodes=1
+ncores_per_node=128
+walltime="12:00:00"
+nprocs=$(($nnodes*$ncores_per_node))
+
+execdir=`perl $utildir/abspath $execdir`
+runscript=`perl $utildir/abspath $runscript`
+if [ ! -d $execdir ]
+then
+  mkdir -p $execdir
+fi
+#
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#                               End user settings
+#                        Shell Script for TIEGCM Linux job
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#
+# Necessary modules on derecho
+#module load mkl
+#module swap netcdf netcdf-mpi
+#module load esmf
+#
+mycwd=`pwd`
+echo "" ; echo "${0}:"
+echo "  Begin execution at `date`"
+echo "  Current working directory: $mycwd"
+echo "  System: `uname -a`"
+echo ""
+#
+# Verify directories and make_machine file (make execdir if necessary).
+# Get absolute path for dirs that are accessed from the execdir.
+#
+if [ ! -d $modeldir ]
+then
+  echo ">>> Cannot find model directory $modeldir <<<"
+  exit 1
+fi
+#
+# Executable file name:
+modelexe=tiegcm.exe
+
+if [ ! -d $utildir ]
+then
+  echo ">>> Cannot find model scripts directory $utildir <<<"
+  exit 1
+fi
+utildir=`perl $utildir/abspath $utildir`
+
+srcdir=$modeldir/src
+if [ ! -d $srcdir ]
+then
+  echo ">>> Cannot find model source directory $srcdir <<<"
+  exit 1
+fi
+srcdir=`perl $utildir/abspath $srcdir`
+#
+# Set data directory:
+#   If tgcmdata is set above, use it to set (override) env var TGCMDATA
+#   If tgcmdata not set above, use env var TGCMDATA
+#   If neither are set, print a warning and set both to cwd.
+#   Finally, print warning if the directory does not exist.
+#
+if [ -v tgcmdata ]
+then
+  tgcmdata=`perl $utildir/abspath $tgcmdata`
+  export TGCMDATA=$tgcmdata
+  echo "Set env var TGCMDATA = $TGCMDATA"
+else
+  if [ -v TGCMDATA ]
+  then
+    tgcmdata=$TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
+  else
+    echo "WARNING: TGCMDATA is not set - using cwd"
+    tgcmdata=.
+    export TGCMDATA=$tgcmdata
+  fi
+fi
+if [ ! -d $tgcmdata ]
+then
+  echo ">>> Cannot find data directory $tgcmdata"
+fi
+
+if [ $horires != "5" ] && [ $horires != "2.5" ] && [ $horires != "1.25" ] && [ $horires != "0.625" ]
+then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+fi
+if [ $vertres != "0.5" ] && [ $vertres != "0.25" ] && [ $vertres != "0.125" ] && [ $vertres != "0.0625" ]
+then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
+  exit 1
+fi
+#
+# Copy make files to execdir if necessary:
+#
+if [ ! -f $execdir/$make ]
+then
+  cp $utildir/$make $execdir
+fi
+if [ ! -f $execdir/Makefile ]
+then
+  cp $utildir/Makefile $execdir
+fi
+if [ ! -f $execdir/mkdepends ]
+then
+  cp $utildir/mkdepends $execdir
+fi
+#
+# Make default namelist input file if not provided by user:
+#
+if [ ! -f $input ]
+then
+  echo ">>> Cannot find namelist input file $input <<<"
+  exit 1
+fi
+
+model=$execdir/$modelexe
+input=`perl $utildir/abspath $input`
+output=`perl $utildir/abspath $output`
+util=`perl $utildir/abspath $utildir`
+mklogs=$util/mklogs         # Nov, 2015: mklogs rewritten in python
+rmbinchars=$util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
+#
+# Report to stdout:
+#
+if [ -x `command -v svnversion` ]
+then
+  svn_version=`svnversion $modeldir`
+else
+  svn_version="[none]"
+fi
+#svn_revision="tiegcm2.5" # for svn tag instead of revision number
+
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
+echo "  Exec directory:    $execdir"
+echo "  Source directory:  $srcdir"
+echo "  Data directory:    $tgcmdata"
+echo "  Make machine file: $make"
+echo "  Namelist input:    $input"
+echo "  Stdout Output:     $output"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
+echo "  Debug:             $debug"
+#
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if [ -f $execdir/coupling ]
+then
+  lastcoupling=`cat $execdir/coupling`
+  if [ $lastcoupling != $coupling ]
+  then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling > $execdir/coupling
+  fi
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+fi
+#
+# If debug flag has changed from last gmake, clean execdir
+# and reset debug file:
+#
+if [ -f $execdir/debug ]
+then
+  lastdebug=`cat $execdir/debug`
+  if [ $lastdebug != $debug ]
+  then
+    echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $debug > $execdir/debug
+  fi
+else
+  echo $debug > $execdir/debug
+  echo "Created file debug with debug flag = $debug"
+fi
+#
+# Copy defs header file to execdir, if necessary, according to
+# requested resolution. This should seamlessly switch between
+# resolutions according to $horires and $vertres.
+#
+defs=defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
+if [ -f $execdir/defs.h ]
+then
+  cmp -s $execdir/defs.h $defs
+  status=$?
+  if [ $status -ne 0 ]
+  then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    cp $defs $execdir/defs.h
+  else
+    echo "defs.h already set for model resolution $horires x $vertres"
+  fi
+else # defs.h does not exist in execdir -> copy appropriate defs file
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
+  cp $defs $execdir/defs.h
+fi
+#
+# cd to execdir and run make:
+#
+cd $execdir
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+fi
+echo ""
+echo "Begin building $model in `pwd`"
+#
+# Build Make.env file in exec dir, containing needed env vars for Makefile:
+#
+cat << EOF > Make.env
+MAKE_MACHINE  = $make
+DIRS          = . $srcdir
+EXECNAME      = $model
+NAMELIST      = $input
+OUTPUT        = $output
+COUPLING      = $coupling
+DEBUG         = $debug
+SVN_REVISION  = $svn_revision
+EOF
+#
+# Build the model:
+gmake -j8 all
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Error return from gmake all"
+  exit 1
+fi
+#
+# Set PBS resource usage (create the runscript in execdir):
+# (run commands are appended to this script below)
+#
+# Set data directory in PBS script:
+#
+# MPI/PBS job: append mpirun.command command to PBS script
+# (it has #PBSs from above)
+#
+cat << EOF > $runscript
+#!/bin/bash
+#PBS -N tiegcm
+#PBS -A $project_code
+#PBS -q $queue
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l job_priority=$job_priority
+#PBS -l select=${nnodes}:ncpus=${ncores_per_node}:mpiprocs=${ncores_per_node}
+#PBS -l walltime=$walltime
+
+export TGCMDATA=$tgcmdata
+
+# Execute:
+cd $execdir
+`cat mpirun.command` -np $nprocs $model $input >& $output
+
+# Save stdout:
+$rmbinchars $output # remove any non-ascii chars in stdout file
+$mklogs $output     # break stdout into per-task log files
+cd `dirname $output`
+
+# Make tar file of task log files:
+tar -cf $output.tar *task*.out
+echo "Saved stdout tar file $output.tar"
+rm *task*.out
+EOF
+#
+if [ $execute == "TRUE" ]
+then
+  echo " "
+  echo "Submitting PBS script $runscript for MPI run"
+  qsub < $runscript
+else
+  echo "Am NOT executing the model because execute = $execute"
+fi
+#
+exit 0
diff --git a/scripts/tiegcm-ys.job b/scripts/tiegcm-de-tcsh.job
similarity index 50%
rename from scripts/tiegcm-ys.job
rename to scripts/tiegcm-de-tcsh.job
index 5611a8b..844805f 100755
--- a/scripts/tiegcm-ys.job
+++ b/scripts/tiegcm-de-tcsh.job
@@ -1,97 +1,78 @@
 #!/bin/tcsh
 #
-# Job script to build and execute TIEGCM on the NCAR supercomputer yellowstone,
-# or similar system running LSF (Load Sharing Facility)
+# Job script to build and execute TIEGCM on the NCAR supercomputer derecho,
+# or similar system running PBS (Load Sharing Facility)
 #
-# This script should be executed on the yellowstone command line.
-# It will compile in execdir on the interactive login node, then create and 
-# submit an LSF script based on the #BSUB resources specified below.
+# This script should be executed on the derecho command line.
+# It will compile in execdir on the interactive login node, then create and
+# submit an PBS script based on the #PBS resources specified below.
 #
-# User should set shell variables and #BSUB settings below:
+# User should set shell variables and #PBS settings below:
 #
 #   modeldir:  Root directory to model source (may be an SVN working dir)
 #   execdir:   Directory in which to build and execute (will be created if necessary)
 #   tgcmdata:  Directory in which startup history and data files are accessed.
 #              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
 #   input:     Namelist input file for the chosen model resolution
 #   output:    Stdout file from model execution (will be created)
-#   modelres:  Model resolution (5.0 or 2.5 degrees)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
 #   make:      Build file with platform-specific compile parameters (in scripts dir)
-#   mpi:       TRUE/FALSE for MPI run (non-MPI runs are not supported in v2.0 and later)
 #   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
-#   exec:      If TRUE, execute the model (build only if exec is FALSE)
-#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
-#   runscript: LSF script with run commands (submitted with bsub from execdir)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
+#   runscript: PBS script with run commands (submitted with qsub from execdir)
 #
-# To switch to 2.5-deg resolution, set modelres below to 2.5,
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
 # and change execdir, tgcmdata and namelist input if necessary.
-# Also reset number of processors accordingly below (#BSUB -n).
-#
-set modeldir = tiegcm_trunk
-set execdir  = /glade/scratch/$user/tiegcm_trunk/tiegcm.exec
-set tgcmdata = /glade/p/hao/tgcm/data/tiegcm2.0
-set input    = $modeldir/scripts/tiegcm_res5.0_default.inp
-set output   = tiegcm.out
-set modelres = 5.0
-set make     = Make.intel_ys
-set mpi       = TRUE   # must be TRUE for tiegcm2.0 and later
-set debug     = FALSE
-set exec      = TRUE
+# Also reset number of processors accordingly below (#PBS -l).
+#
+set modeldir  = $TGCMHOME
+set execdir   = /glade/derecho/scratch/$user/tiegcm
+set tgcmdata  = /glade/p/hao/tgcm/data
 set utildir   = $modeldir/scripts
-set runscript = run.lsf
+set input     = $utildir/tiegcm_default.inp
+set output    = tiegcm.out
+set horires   = 2.5
+set vertres   = 0.25
+set zitop     = 7
+set nres_grid = 5
+set coupling  = FALSE
+set make      = Make.intel_de
+set debug     = FALSE
+set execute   = FALSE
+set runscript = run.pbs
+
+set project_code    = P28100036
+set queue           = main
+set job_priority    = regular
+set nnodes          = 1
+set ncores_per_node = 128
+set walltime        = "12:00:00"
+@ nprocs            = $nnodes * $ncores_per_node
 
 set execdir   = `perl $utildir/abspath $execdir`
 set runscript = `perl $utildir/abspath $runscript`
 if (! -d $execdir) mkdir -p $execdir
 #
-# Set LSF resource usage (create the runscript in execdir):
-# (run commands are appended to this script below)
-#
-cat << EOF >! $runscript
-#!/bin/tcsh
-#
-#BSUB -J tiegcm
-#BSUB -P P28100036
-##BSUB -P NHAO0004
-#BSUB -q premium
-#BSUB -o tiegcm.%J.out
-#BSUB -e tiegcm.%J.out
-#BSUB -N
-#BSUB -u $LOGNAME@ucar.edu
-#BSUB -W 0:30
-#
-# Recommended for single-res (5.0 deg) tiegcm:
-# -n16,ptile=16 (1 node, 16 procs/node)
-# Note: -n 1 is permitted.
-# For 5.0-deg res, STEP= 60, nproc=16, allow 2.0 mins per simulated day (0.08 secs/step)
-# For 5.0-deg res, STEP=120, nproc=16, allow 1.0 mins per simulated day (0.08 secs/step)
-#BSUB -n 16
-#BSUB -R "span[ptile=16]"
-#
-# Recommended for double-res (2.5 deg) tiegcm: 
-# -n64,ptile=16 (4 nodes, 16 procs/node)
-# Note: -n 1 is permitted.
-# For 2.5-deg res, STEP= 30, nproc=64, allow 8.5 mins per simulated day (0.17 secs/step)
-# For 2.5-deg res, STEP= 60, nproc=64, allow 4.5 mins per simulated day (0.17 secs/step)
-##BSUB -n 64
-##BSUB -R "span[ptile=16]"
-#
-EOF
-#
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #                               End user settings
 #                        Shell Script for TIEGCM Linux job
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #
-# Update ESMF module on ys as of 4/14/14:
-set lib_esmf = esmf-6.3.0r-ncdfio-mpi-O
-module load esmf $lib_esmf
+# Necessary modules on derecho
+#module load mkl
+#module swap netcdf netcdf-mpi
+#module load esmf
 #
 set mycwd = `pwd`
 echo "" ; echo "${0}:"
 echo "  Begin execution at `date`"
 echo "  Current working directory: $mycwd"
-echo "  System: `uname -a`"  
+echo "  System: `uname -a`"
 echo ""
 #
 # Verify directories and make_machine file (make execdir if necessary).
@@ -103,15 +84,15 @@ if (! -d $modeldir) then
 endif
 #
 # Executable file name:
-set model = tiegcm.exe
+set modelexe = tiegcm.exe
 
 if (! -d $utildir) then
-  echo ">>> Cannot find model scripts directory $utildir <<<" 
+  echo ">>> Cannot find model scripts directory $utildir <<<"
   exit 1
 endif
 set utildir = `perl $utildir/abspath $utildir`
 
-set srcdir  = $modeldir/src
+set srcdir = $modeldir/src
 if (! -d $srcdir) then
   echo ">>> Cannot find model source directory $srcdir <<<"
   exit 1
@@ -127,21 +108,25 @@ set srcdir = `perl $utildir/abspath $srcdir`
 if ($?tgcmdata) then
   set tgcmdata = `perl $utildir/abspath $tgcmdata`
   setenv TGCMDATA $tgcmdata
-  echo Set env var TGCMDATA = $TGCMDATA
+  echo "Set env var TGCMDATA = $TGCMDATA"
 else
   if ($?TGCMDATA) then
     set tgcmdata = $TGCMDATA
-    echo Set tgcmdata = $TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
   else
-    echo WARNING: TGCMDATA is not set - using cwd
+    echo "WARNING: TGCMDATA is not set - using cwd"
     set tgcmdata = .
     setenv TGCMDATA $tgcmdata
   endif
 endif
 if (! -d $tgcmdata) echo ">>> Cannot find data directory $tgcmdata"
 
-if ($modelres != 5.0 && $modelres != 2.5) then
-  echo ">>> Unknown model resolution $modelres <<<"
+if ($horires != 5 && $horires != 2.5 && $horires != 1.25 && $horires != 0.625) then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+endif
+if ($vertres != 0.5 && $vertres != 0.25 && $vertres != 0.125 && $vertres != 0.0625) then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
   exit 1
 endif
 #
@@ -158,7 +143,7 @@ if (! -f $input) then
   exit 1
 endif
 
-set model  = $execdir/$model
+set model  = $execdir/$modelexe
 set input  = `perl $utildir/abspath $input`
 set output = `perl $utildir/abspath $output`
 set util   = `perl $utildir/abspath $utildir`
@@ -167,25 +152,45 @@ set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdou
 #
 # Report to stdout:
 #
- set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
-#set svn_revision = 'tiegcm2.0' # for svn tag instead of revision number
+if (`where svnversion` == "") then
+  set svn_revision = `svnversion $modeldir`
+else
+  set svn_revision = "[none]"
+endif
+#set svn_revision = "tiegcm2.5" # for svn tag instead of revision number
 
-echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
 echo "  Exec directory:    $execdir"
 echo "  Source directory:  $srcdir"
 echo "  Data directory:    $tgcmdata"
 echo "  Make machine file: $make"
 echo "  Namelist input:    $input"
 echo "  Stdout Output:     $output"
-echo "  Model resolution:  $modelres"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
 echo "  Debug:             $debug"
-echo "  MPI job:           $mpi"
+#
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if (-f $execdir/coupling) then
+  set lastcoupling = `cat $execdir/coupling`
+  if ($lastcoupling != $coupling) then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling >! $execdir/coupling
+  endif
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+endif
 #
 # If debug flag has changed from last gmake, clean execdir
 # and reset debug file:
 #
 if (-f $execdir/debug) then
-  set lastdebug = `cat $execdir/debug` 
+  set lastdebug = `cat $execdir/debug`
   if ($lastdebug != $debug) then
     echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
     set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
@@ -196,43 +201,43 @@ else
   echo "Created file debug with debug flag = $debug"
 endif
 #
-# If mpi flag has changed from last gmake, clean execdir
-# and reset mpi file:
-#
-if (-f $execdir/mpi) then
-  set lastmpi = `cat $execdir/mpi` 
-  if ($lastmpi != $mpi) then
-    echo "Clean execdir $execdir because mpi flag switched from $lastmpi to $mpi"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $mpi >! $execdir/mpi
-  endif
-else
-  echo $mpi >! $execdir/mpi
-  echo "Created file mpi with mpi flag = $mpi"
-endif
-#
-# Copy defs header file to execdir, if necessary, according to 
+# Copy defs header file to execdir, if necessary, according to
 # requested resolution. This should seamlessly switch between
-# resolutions according to $modelres.
+# resolutions according to $horires and $vertres.
 #
-set defs = $srcdir/defs5.0
-if ($modelres == 2.5) set defs = $srcdir/defs2.5
+set defs = defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
 if (-f $execdir/defs.h) then
   cmp -s $execdir/defs.h $defs
-  if ($status == 1) then # files differ -> switch resolutions
-    echo "Switching defs.h for model resolution $modelres"
+  if ($status != 0) then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
     cp $defs $execdir/defs.h
   else
-    echo "defs.h already set for model resolution $modelres"
-  endif 
+    echo "defs.h already set for model resolution $horires x $vertres"
+  endif
 else # defs.h does not exist in execdir -> copy appropriate defs file
-  echo "Copying $defs to $execdir/defs.h for resolution $modelres"
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
   cp $defs $execdir/defs.h
 endif
 #
 # cd to execdir and run make:
 #
-cd $execdir || echo ">>> Cannot cd to execdir $execdir" && exit 1
+cd $execdir
+if ($status != 0) then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+endif
 echo ""
 echo "Begin building $model in `pwd`"
 #
@@ -240,61 +245,64 @@ echo "Begin building $model in `pwd`"
 #
 cat << EOF >! Make.env
 MAKE_MACHINE  = $make
-DIRS          = . $srcdir 
-MPI           = $mpi
+DIRS          = . $srcdir
 EXECNAME      = $model
 NAMELIST      = $input
 OUTPUT        = $output
+COUPLING      = $coupling
 DEBUG         = $debug
 SVN_REVISION  = $svn_revision
 EOF
 #
 # Build the model:
-gmake -j8 all || echo ">>> Error return from gmake all" && exit 1
-#
-if ($exec == "FALSE") then
-  echo "Am NOT executing the model because exec = $exec"
-  exit 0
+gmake -j8 all
+if ($status != 0) then
+  echo ">>> Error return from gmake all"
+  exit 1
 endif
 #
-# Set data directory in LSF script:
-#
-cat << EOF >> $runscript
-  setenv TGCMDATA $tgcmdata
-EOF
+# Set PBS resource usage (create the runscript in execdir):
+# (run commands are appended to this script below)
 #
-# MPI/LSF job: append mpirun.lsf command to LSF script 
-# (it has #BSUBs from above)
+# Set data directory in PBS script:
 #
-if ($mpi == "TRUE") then  # MPI LSF job
-  cat << EOF >> $runscript
-  setenv MP_LABELIO YES
-  setenv MP_SHARED_MEMORY yes
+# MPI/PBS job: append mpirun.command command to PBS script
+# (it has #PBSs from above)
 #
+cat << EOF >! $runscript
+#!/bin/tcsh
+#PBS -N tiegcm
+#PBS -A $project_code
+#PBS -q $queue
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l job_priority=$job_priority
+#PBS -l select=${nnodes}:ncpus=${ncores_per_node}:mpiprocs=${ncores_per_node}
+#PBS -l walltime=$walltime
+
+export TGCMDATA=$tgcmdata
+
 # Execute:
-  mpirun.lsf $model $input >&! $output
-#
+cd $execdir
+`cat mpirun.command` -np $nprocs $model $input >&! $output
+
 # Save stdout:
-  $rmbinchars $output # remove any non-ascii chars in stdout file
-  $mklogs $output     # break stdout into per-task log files
-  cd $output:h
-#
+$rmbinchars $output # remove any non-ascii chars in stdout file
+$mklogs $output     # break stdout into per-task log files
+cd `dirname $output`
+
 # Make tar file of task log files:
-  tar -cf $output.tar *task*.out 
-  echo Saved stdout tar file $output.tar 
-  rm *task*.out
+tar -cf $output.tar *task*.out
+echo "Saved stdout tar file $output.tar"
+rm *task*.out
 EOF
-  echo " "
-  echo "Submitting LSF script $runscript for MPI run"
-  bsub < $runscript
-#
-# Non-mpi job: simple execution statement on the interactive node.
-# If you want to submit lsf job, you can use a here-doc like above
-# to put the execution statement in the runscript, then submit with
-# bsub as above.
 #
+if ($execute == "TRUE") then
+  echo " "
+  echo "Submitting PBS script $runscript for MPI run"
+  qsub < $runscript
 else
-  echo "Executing serial non-MPI run in background on the interactive node.." 
-  $model < $input >&! $output &
+  echo "Am NOT executing the model because execute = $execute"
 endif
+#
 exit 0
diff --git a/scripts/tiegcm-linux.job b/scripts/tiegcm-linux.job
index 4be34c6..8c8fb2e 100755
--- a/scripts/tiegcm-linux.job
+++ b/scripts/tiegcm-linux.job
@@ -1,80 +1,90 @@
-#! /bin/csh
+#!/bin/bash
 #
 # Job script to build and execute the model on a 64-bit Linux desktop machine.
 #
-# User should set shell variables below (paths below are examples on the hao network)
+# User should set shell variables below:
 #
 #   modeldir:  Root directory to model source (may be an SVN working dir)
 #   execdir:   Directory in which to build and execute (will be created if necessary)
 #   tgcmdata:  Directory in which startup history and data files are accessed.
 #              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
 #   input:     Namelist input file for the chosen model resolution
 #   output:    Stdout file from model execution (will be created)
-#   modelres:  Model resolution (5.0 or 2.5 degrees)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
 #   make:      Build file with platform-specific compile parameters (in scripts dir)
-#   mpi:       TRUE/FALSE for MPI run (non-MPI runs are not supported in v2.0 and later)
 #   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
-#   exec:      If TRUE, execute the model (build only if exec is FALSE)
-#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
-#   runscript: LSF script with run commands (submitted with bsub from execdir)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
 #
-# To switch to 2.5-deg resolution, set modelres below to 2.5,
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
 # and change execdir, tgcmdata and namelist input if necessary.
 #
-set modeldir = tiegcm_trunk
-set execdir  = /hao/aim/$user/tiegcm_trunk/tiegcm.exec
-set tgcmdata = /hao/aim/tgcm/data/tiegcm2.0
-set input    = $modeldir/scripts/tiegcm_res5.0_default.inp
-set output   = tiegcm.out
-set make     = Make.intel_hao64
-set modelres = 5.0
-set mpi      = TRUE  # must be TRUE for tiegcm2.0 and later
-set nproc    = 4     # nproc=1 is permitted
-set debug    = FALSE
-set exec     = TRUE
-set utildir  = $modeldir/scripts
-# 
+modeldir=$TGCMHOME
+execdir="/scratch/$USER/tiegcm"
+tgcmdata="tiegcm_data"
+utildir="$modeldir/scripts"
+input="$utildir/tiegcm_default.inp"
+output="tiegcm.out"
+make="Make.intel_linux"
+horires="2.5"
+vertres="0.25"
+zitop=7
+nres_grid=5
+coupling="FALSE"
+nproc=4     # nproc=1 is permitted
+debug="FALSE"
+execute="FALSE"
+#
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #                        Shell Script for TIEGCM Linux job
 #- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 #
-set mycwd = `pwd`
+mycwd=`pwd`
 echo "" ; echo "${0}:"
 echo "  Begin execution at `date`"
 echo "  Current working directory: $mycwd"
-echo "  System: `uname -a`"  
+echo "  System: `uname -a`"
 echo ""
 #
 # Verify directories and make_machine file (make execdir if necessary).
 # Get absolute path for dirs that are accessed from the execdir.
 #
-if (! -d $modeldir) then
+if [ ! -d $modeldir ]
+then
   echo ">>> Cannot find model directory $modeldir <<<"
   exit 1
-endif
-set model = $modeldir:t
+fi
+model=`basename $modeldir`
 
-if ($model == '') then
+if [ $model == "" ]
+then
   echo "Please remove trailing slash from modeldir $modeldir"
   exit
-endif
+fi
 
-if (! -d $utildir) then
-  echo ">>> Cannot find model scripts directory $utildir <<<" 
+if [ ! -d $utildir ]
+then
+  echo ">>> Cannot find model scripts directory $utildir <<<"
   exit 1
-endif
+fi
 
-set srcdir  = $modeldir/src
-if (! -d $srcdir) then
+srcdir="$modeldir/src"
+if [ ! -d $srcdir ]
+then
   echo ">>> Cannot find model source directory $srcdir <<<"
   exit 1
-endif
-set srcdir = `perl $utildir/abspath $srcdir`
+fi
+srcdir=`perl $utildir/abspath $srcdir`
 
-if (! -d $execdir) then
-  echo "Making exec directory $execdir" 
+if [ ! -d $execdir ]
+then
+  echo "Making exec directory $execdir"
   mkdir -p $execdir
-endif
+fi
 #
 # Set data directory:
 #   If tgcmdata is set above, use it to set (override) env var TGCMDATA
@@ -82,166 +92,230 @@ endif
 #   If neither are set, print a warning and set both to cwd.
 #   Finally, print warning if the directory does not exist.
 #
-if ($?tgcmdata) then
-  set tgcmdata = `perl $utildir/abspath $tgcmdata`
-  setenv TGCMDATA $tgcmdata
-  echo Set env var TGCMDATA = $TGCMDATA
+if [ -v tgcmdata ]
+then
+  tgcmdata=`perl $utildir/abspath $tgcmdata`
+  export TGCMDATA=$tgcmdata
+  echo "Set env var TGCMDATA = $TGCMDATA"
 else
-  if ($?TGCMDATA) then
-    set tgcmdata = $TGCMDATA
-    echo Set tgcmdata = $TGCMDATA
+  if [ -v TGCMDATA ]
+  then
+    tgcmdata=$TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
   else
-    echo WARNING: TGCMDATA is not set - using cwd
-    set tgcmdata = .
-    setenv TGCMDATA $tgcmdata
-  endif
-endif
-if (! -d $tgcmdata) echo ">>> Cannot find data directory $tgcmdata"
+    echo "WARNING: TGCMDATA is not set - using cwd"
+    tgcmdata=.
+    export TGCMDATA=$tgcmdata
+  fi
+fi
+if [ ! -d $tgcmdata ]
+then
+  echo ">>> Cannot find data directory $tgcmdata"
+fi
 
-if ($modelres != 5.0 && $modelres != 2.5) then
-  echo ">>> Unknown model resolution $modelres <<<"
+if [ $horires != "5" ] && [ $horires != "2.5" ] && [ $horires != "1.25" ] && [ $horires != "0.625" ]
+then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+fi
+if [ $vertres != "0.5" ] && [ $vertres != "0.25" ] && [ $vertres != "0.125" ] && [ $vertres != "0.0625" ]
+then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
   exit 1
-endif
+fi
 #
 # Copy make files to execdir if necessary:
 #
-if (-f $make) then # set by user above
+if [ -f $make ]
+then # set by user above
   cp $make $execdir
-  echo Copied $make to $execdir
+  echo "Copied $make to $execdir"
 else
   cp $utildir/$make $execdir
-  echo Copied $utildir/$make to $execdir
-endif
-if (! -f $execdir/Makefile)  cp $utildir/Makefile $execdir
-if (! -f $execdir/mkdepends) cp $utildir/mkdepends $execdir
+  echo "Copied $utildir/$make to $execdir"
+fi
+if [ ! -f $execdir/Makefile ]
+then
+  cp $utildir/Makefile $execdir
+fi
+if [ ! -f $execdir/mkdepends ]
+then
+  cp $utildir/mkdepends $execdir
+fi
 #
 # Namelist input file must exist:
 #
-if (! -f $input) then
+if [ ! -f $input ]
+then
   echo ">>> Cannot find namelist input file $input <<<"
   exit 1
-endif
-set input  = `perl $utildir/abspath $input`
-set output = `perl $utildir/abspath $output`
-set util   = `perl $utildir/abspath $utildir`
-set mklogs = $util/mklogs
-set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
+fi
+input=`perl $utildir/abspath $input`
+output=`perl $utildir/abspath $output`
+util=`perl $utildir/abspath $utildir`
+mklogs=$util/mklogs
+rmbinchars=$util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
 #
 # Report to stdout:
 #
-set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
-echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
+svn_revision="tiegcm2.5" # for svn tag instead of revision number
+#if [ -x `command -v svnversion` ]
+#then
+#  svn_revision=`svnversion $modeldir`
+#else
+#  svn_revision="[none]"
+#fi
+
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
 echo "  Exec directory:    $execdir"
 echo "  Source directory:  $srcdir"
 echo "  Data directory:    $tgcmdata"
 echo "  Make machine file: $make"
 echo "  Namelist input:    $input"
-echo "  Model resolution:  $modelres"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
 echo "  Debug flag:        $debug"
 #
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if [ -f $execdir/coupling ]
+then
+  lastcoupling=`cat $execdir/coupling`
+  if [ $lastcoupling != $coupling ]
+  then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling > $execdir/coupling
+  fi
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+fi
+#
 # If debug flag has changed from last gmake, clean execdir
 # and reset debug file:
 #
-if (-f $execdir/debug) then
-  set lastdebug = `cat $execdir/debug` 
-  if ($lastdebug != $debug) then
+if [ -f $execdir/debug ]
+then
+  lastdebug=`cat $execdir/debug`
+  if [ $lastdebug != $debug ]
+  then
     echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
-    set mycwd = `pwd` ; cd $execdir ; gmake clean ; cd $mycwd
-    echo $debug >! $execdir/debug
-  endif
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $debug > $execdir/debug
+  fi
 else
-  echo $debug >! $execdir/debug
+  echo $debug > $execdir/debug
   echo "Created file debug with debug flag = $debug"
-endif
+fi
 #
-# Copy defs header file to execdir, if necessary, according to 
+# Copy defs header file to execdir, if necessary, according to
 # requested resolution. This should seamlessly switch between
-# resolutions according to $modelres.
+# resolutions according to $horires and $vertres.
 #
-set defs = $srcdir/defs5.0
-if ($modelres == 2.5) set defs = $srcdir/defs2.5
-if (-f $execdir/defs.h) then
+defs=defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
+if [ -f $execdir/defs.h ]
+then
   cmp -s $execdir/defs.h $defs
-  if ($status == 1) then # files differ -> switch resolutions
-    echo "Switching defs.h for model resolution $modelres"
+  status=$?
+  if [ $status -ne 0 ]
+  then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
     cp $defs $execdir/defs.h
   else
-    echo "defs.h already set for model resolution $modelres"
-  endif 
+    echo "defs.h already set for model resolution $horires x $vertres"
+  fi
 else # defs.h does not exist in execdir -> copy appropriate defs file
-  echo "Copying $defs to $execdir/defs.h for resolution $modelres"
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
   cp $defs $execdir/defs.h
-endif
+fi
 #
 # cd to execdir and run make:
 #
-cd $execdir || echo ">>> Cannot cd to execdir $execdir" && exit 1
+cd $execdir
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+fi
 echo ""
 echo "Begin building $model in `pwd`"
 #
 # Build Make.env file in exec dir, containing needed env vars for Makefile:
 #
-cat << EOF >! Make.env
+cat << EOF > Make.env
 MAKE_MACHINE  = $make
-DIRS          = . $srcdir 
-MPI           = $mpi
+DIRS          = . $srcdir
 NPROC         = $nproc
 EXECNAME      = $model
 NAMELIST      = $input
 OUTPUT        = $output
+COUPLING      = $coupling
 DEBUG         = $debug
 SVN_REVISION  = $svn_revision
 EOF
 #
 gmake machines.ini
 gmake mpirun.command
-set mpirun = `cat mpirun.command`
-#
-set compiler = 'unknown'
-if ($make == Make.intel_hao64) then
-  set compiler = intel
-else if ($make == Make.pgi_hao64) then
-  set compiler = pgi
-else if ($make == Make.gfort_hao64) then
-  set compiler = gfort
-endif
-echo Compiler: $compiler
+mpirun=`cat mpirun.command`
+#
+compiler="unknown"
+if [ $make == "Make.intel_linux" ]
+then
+  compiler="intel"
+fi
+echo "Compiler: $compiler"
 #
 # Build the model:
-gmake -j4 all || echo ">>> Error return from gmake all" && exit 1
+gmake -j4 all
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Error return from gmake all"
+  exit 1
+fi
 #
-# Execute Linux job (MPI or non-MPI run):
+# Execute Linux job (MPI run):
 #
-if ($exec == "TRUE") then
-  set model = ./$model
+if [ $execute == "TRUE" ]
+then
+  model=./$model
   echo "$model output will go to $output"
-  if ($mpi == "TRUE") then
-    echo Executing $mpirun with executable $model at `date`
+  echo "Executing $mpirun with executable $model at `date`"
 #
 # Execute mpirun with the model executable ($model), and a single argument
 # providing the path to the namelist input file:
 #
-    $mpirun -machinefile machines.ini -np $nproc $model $input >&! $output
+  $mpirun -machinefile machines.ini -np $nproc $model $input >& $output
 
-    echo "Linux MPI run of $model completed at `date`"
-    $rmbinchars $output # remove any non-ascii chars in stdout file
+  echo "Linux MPI run of $model completed at `date`"
+  $rmbinchars $output # remove any non-ascii chars in stdout file
 #
 # Do not call mklogs if built with PGI or gfortran:
 # (only intel has ability to prefix task ids to stdout lines)
 #
-    if ($compiler == 'intel') then
-      $mklogs $output     # break stdout into per-task log files
-    else
-      echo "Am not calling mklogs because model was not built with intel"
-    endif
-  else # MPI is FALSE
-    echo "Executing $model for Linux non-MPI run."
-    $model < $input >&! $output || \
-      echo ">>> ${0} Execution of $model FAILED at `date`" && \
-      echo "See output in $output"
-    echo "Linux non-MPI run of $model completed at `date`"
-  endif
+  if [ $compiler == "intel" ]
+  then
+    $mklogs $output     # break stdout into per-task log files
+  else
+    echo "Am not calling mklogs because model was not built with intel"
+  fi
 else
-  echo "I am NOT executing $model (exec was not set)"
-endif
+  echo "I am NOT executing $model (execute was not set)"
+fi
 exit 0
diff --git a/scripts/tiegcm-palmetto.job b/scripts/tiegcm-palmetto.job
new file mode 100755
index 0000000..dc3622d
--- /dev/null
+++ b/scripts/tiegcm-palmetto.job
@@ -0,0 +1,345 @@
+#!/bin/bash
+#
+# Job script to build and execute TIEGCM on the Clemson supercomputer Palmetto,
+# or similar system running PBS (Load Sharing Facility)
+#
+# This script should be executed on the palmetto command line.
+# It will compile in execdir on the interactive login node, then create and
+# submit an PBS script based on the #PBS resources specified below.
+#
+# User should set shell variables and #PBS settings below:
+#
+#   modeldir:  Root directory to model source (may be an SVN working dir)
+#   execdir:   Directory in which to build and execute (will be created if necessary)
+#   tgcmdata:  Directory in which startup history and data files are accessed.
+#              (If tgcmdata is not set, the model will use env var TGCMDATA)
+#   utildir:   Directory containing supporting scripts (default $modeldir/scripts)
+#   input:     Namelist input file for the chosen model resolution
+#   output:    Stdout file from model execution (will be created)
+#   horires:   Model resolution (5, 2.5, 1.25 or 0.625 degrees)
+#   vertres:   Model resolution (0.5, 0.25, 0.125 or 0.0625 degrees)
+#   zitop:     Pressure level at model upper boundary
+#   nres_grid: Number of levels for multigrid solver (magnetic grid)
+#   coupling:  Whether to couple with GAMERA via MPI
+#   make:      Build file with platform-specific compile parameters (in scripts dir)
+#   debug:     If TRUE, build and execute a "debug" run (debug compiler flags are set)
+#   execute:   If TRUE, execute the model (build only if execute is FALSE)
+#   runscript: PBS script with run commands (submitted with qsub from execdir)
+#
+# To switch to 2.5x0.25-deg resolution, set horires below to 2.5 and vertres to 0.25,
+# and change execdir, tgcmdata and namelist input if necessary.
+# Also reset number of processors accordingly below (#PBS -l).
+#
+modeldir=$TGCMHOME
+execdir="/scratch/$USER/tiegcm"
+tgcmdata="/zfs/luatmos/tiegcm/tiegcm_data"
+utildir="$modeldir/scripts"
+input="$utildir/tiegcm_default.inp"
+output="tiegcm.out"
+horires="2.5"
+vertres="0.25"
+zitop=7
+nres_grid=5
+coupling="FALSE"
+make="Make.gfort_palmetto"
+debug="FALSE"
+execute="FALSE"
+runscript="run.pbs"
+
+queue="luatmos"
+nnodes=1
+ncores_per_node=40
+memsize=372
+walltime="12:00:00"
+nprocs=$(($nnodes*$ncores_per_node))
+
+execdir=`perl $utildir/abspath $execdir`
+runscript=`perl $utildir/abspath $runscript`
+if [ ! -d $execdir ]
+then
+  mkdir -p $execdir
+fi
+#
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#                               End user settings
+#                        Shell Script for TIEGCM Linux job
+#- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+#
+# Necessary modules on palmetto
+module load netcdf-c/4.8.1-gcc/9.5.0-openmpi/4.1.3-mpi
+module delete openssl/1.1.1o-gcc/9.5.0
+#
+mycwd=`pwd`
+echo "" ; echo "${0}:"
+echo "  Begin execution at `date`"
+echo "  Current working directory: $mycwd"
+echo "  System: `uname -a`"
+echo ""
+#
+# Verify directories and make_machine file (make execdir if necessary).
+# Get absolute path for dirs that are accessed from the execdir.
+#
+if [ ! -d $modeldir ]
+then
+  echo ">>> Cannot find model directory $modeldir <<<"
+  exit 1
+fi
+#
+# Executable file name:
+modelexe=tiegcm.exe
+
+if [ ! -d $utildir ]
+then
+  echo ">>> Cannot find model scripts directory $utildir <<<"
+  exit 1
+fi
+utildir=`perl $utildir/abspath $utildir`
+
+srcdir=$modeldir/src
+if [ ! -d $srcdir ]
+then
+  echo ">>> Cannot find model source directory $srcdir <<<"
+  exit 1
+fi
+srcdir=`perl $utildir/abspath $srcdir`
+#
+# Set data directory:
+#   If tgcmdata is set above, use it to set (override) env var TGCMDATA
+#   If tgcmdata not set above, use env var TGCMDATA
+#   If neither are set, print a warning and set both to cwd.
+#   Finally, print warning if the directory does not exist.
+#
+if [ -v tgcmdata ]
+then
+  tgcmdata=`perl $utildir/abspath $tgcmdata`
+  export TGCMDATA=$tgcmdata
+  echo "Set env var TGCMDATA = $TGCMDATA"
+else
+  if [ -v TGCMDATA ]
+  then
+    tgcmdata=$TGCMDATA
+    echo "Set tgcmdata = $TGCMDATA"
+  else
+    echo "WARNING: TGCMDATA is not set - using cwd"
+    tgcmdata=.
+    export TGCMDATA=$tgcmdata
+  fi
+fi
+if [ ! -d $tgcmdata ]
+then
+  echo ">>> Cannot find data directory $tgcmdata"
+fi
+
+if [ $horires != "5" ] && [ $horires != "2.5" ] && [ $horires != "1.25" ] && [ $horires != "0.625" ]
+then
+  echo ">>> Unknown model horizontal resolution $horires <<<"
+  exit 1
+fi
+if [ $vertres != "0.5" ] && [ $vertres != "0.25" ] && [ $vertres != "0.125" ] && [ $vertres != "0.0625" ]
+then
+  echo ">>> Unknown model vertical resolution $vertres <<<"
+  exit 1
+fi
+#
+# Copy make files to execdir if necessary:
+#
+if [ ! -f $execdir/$make ]
+then
+  cp $utildir/$make $execdir
+fi
+if [ ! -f $execdir/Makefile ]
+then
+  cp $utildir/Makefile $execdir
+fi
+if [ ! -f $execdir/mkdepends ]
+then
+  cp $utildir/mkdepends $execdir
+fi
+#
+# Make default namelist input file if not provided by user:
+#
+if [ ! -f $input ]
+then
+  echo ">>> Cannot find namelist input file $input <<<"
+  exit 1
+fi
+
+model=$execdir/$modelexe
+input=`perl $utildir/abspath $input`
+output=`perl $utildir/abspath $output`
+util=`perl $utildir/abspath $utildir`
+mklogs=$util/mklogs         # Nov, 2015: mklogs rewritten in python
+rmbinchars=$util/rmbinchars # Nov, 2015: remove non-ascii chars from stdout files
+#
+# Report to stdout:
+#
+if [ -x `command -v svnversion` ]
+then
+  svn_version=`svnversion $modeldir`
+else
+  svn_version="[none]"
+fi
+#svn_revision="tiegcm2.5" # for svn tag instead of revision number
+
+echo -n "  Model directory:   $modeldir"
+echo " (SVN revision $svn_revision)"
+echo "  Exec directory:    $execdir"
+echo "  Source directory:  $srcdir"
+echo "  Data directory:    $tgcmdata"
+echo "  Make machine file: $make"
+echo "  Namelist input:    $input"
+echo "  Stdout Output:     $output"
+echo "  Model resolution:  $horires x $vertres"
+echo "  Coupling:          $coupling"
+echo "  Debug:             $debug"
+#
+# If coupling flag has changed from last gmake, clean execdir
+# and reset coupling file:
+#
+if [ -f $execdir/coupling ]
+then
+  lastcoupling=`cat $execdir/coupling`
+  if [ $lastcoupling != $coupling ]
+  then
+    echo "Clean execdir $execdir because coupling flag switched from $lastcoupling to $coupling"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $coupling > $execdir/coupling
+  fi
+else
+  echo $coupling > $execdir/coupling
+  echo "Created file coupling with coupling flag = $coupling"
+fi
+#
+# If debug flag has changed from last gmake, clean execdir
+# and reset debug file:
+#
+if [ -f $execdir/debug ]
+then
+  lastdebug=`cat $execdir/debug`
+  if [ $lastdebug != $debug ]
+  then
+    echo "Clean execdir $execdir because debug flag switched from $lastdebug to $debug"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    echo $debug > $execdir/debug
+  fi
+else
+  echo $debug > $execdir/debug
+  echo "Created file debug with debug flag = $debug"
+fi
+#
+# Copy defs header file to execdir, if necessary, according to
+# requested resolution. This should seamlessly switch between
+# resolutions according to $horires and $vertres.
+#
+defs=defs.h
+
+cat << EOF > $defs
+#define DLAT $horires
+#define DLON $horires
+#define GLON1 -180
+#define DLEV $vertres
+#define ZIBOT -7
+#define ZITOP $zitop
+#define NRES_GRID $nres_grid
+EOF
+
+if [ -f $execdir/defs.h ]
+then
+  cmp -s $execdir/defs.h $defs
+  status=$?
+  if [ $status -ne 0 ]
+  then # files differ -> switch resolutions
+    echo "Switching defs.h for model resolution $horires x $vertres"
+    mycwd=`pwd` ; cd $execdir ; gmake clean ; cd $mycwd
+    cp $defs $execdir/defs.h
+  else
+    echo "defs.h already set for model resolution $horires x $vertres"
+  fi
+else # defs.h does not exist in execdir -> copy appropriate defs file
+  echo "Copying $defs to $execdir/defs.h for resolution $horires x $vertres"
+  cp $defs $execdir/defs.h
+fi
+#
+# cd to execdir and run make:
+#
+cd $execdir
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Cannot cd to execdir $execdir"
+  exit 1
+fi
+echo ""
+echo "Begin building $model in `pwd`"
+#
+# Build Make.env file in exec dir, containing needed env vars for Makefile:
+#
+cat << EOF > Make.env
+MAKE_MACHINE  = $make
+DIRS          = . $srcdir
+EXECNAME      = $model
+NAMELIST      = $input
+OUTPUT        = $output
+COUPLING      = $coupling
+DEBUG         = $debug
+SVN_REVISION  = $svn_revision
+EOF
+#
+# Build the model:
+gmake -j8 all
+status=$?
+if [ $status -ne 0 ]
+then
+  echo ">>> Error return from gmake all"
+  exit 1
+fi
+#
+# Set PBS resource usage (create the runscript in execdir):
+# (run commands are appended to this script below)
+#
+# Set data directory in PBS script:
+#
+# MPI/PBS job: append mpirun.command command to PBS script
+# (it has #PBSs from above)
+#
+cat << EOF > $runscript
+#!/bin/bash
+#PBS -N tiegcm
+#PBS -q $queue
+#PBS -o tiegcm.out
+#PBS -j oe
+#PBS -l select=${nnodes}:ncpus=${ncores_per_node}:mpiprocs=${ncores_per_node}:mem=${memsize}gb
+#PBS -l walltime=$walltime
+
+module load netcdf-c/4.8.1-gcc/9.5.0-openmpi/4.1.3-mpi
+module delete openssl/1.1.1o-gcc/9.5.0
+
+export TGCMDATA=$tgcmdata
+
+# Execute:
+cd \$TMPDIR
+cp $model .
+`cat mpirun.command` -np $nprocs $modelexe $input >& $output
+mv *.nc $execdir
+
+# Save stdout:
+$rmbinchars $output # remove any non-ascii chars in stdout file
+$mklogs $output     # break stdout into per-task log files
+cd `dirname $output`
+
+# Make tar file of task log files:
+tar -cf $output.tar *task*.out
+echo "Saved stdout tar file $output.tar"
+rm *task*.out
+EOF
+#
+if [ $execute == "TRUE" ]
+then
+  echo " "
+  echo "Submitting PBS script $runscript for MPI run"
+  qsub < $runscript
+else
+  echo "Am NOT executing the model because execute = $execute"
+fi
+#
+exit 0
diff --git a/scripts/tiegcm_default.inp b/scripts/tiegcm_default.inp
new file mode 100644
index 0000000..717be25
--- /dev/null
+++ b/scripts/tiegcm_default.inp
@@ -0,0 +1,33 @@
+&tgcm_input
+ LABEL = 'tiegcm'
+ START_YEAR = 2002
+ START_DAY = 80
+ CALENDAR_ADVANCE = 1
+ SOURCE = '$TGCMDATA/tiegcm_2.5x0.25_z7_mareqx_smin_prim.nc'
+ SOURCE_START = 80 0 0 0
+ PRISTART = 80 0 0 0
+ PRISTOP = 81 0 0 0
+ STEP = 30
+ NSTEP_SUB = 10
+ PRIHIST = 1 0 0 0
+ OUTPUT = 'tiegcm_2.5x0.25_z7_mareqx_smin_prim_001.nc'
+ MXHIST_PRIM = 10
+ SECSTART = 80 1 0 0
+ SECSTOP = 81 0 0 0
+ SECHIST = 0 1 0 0
+ SECOUT = 'tiegcm_2.5x0.25_z7_mareqx_smin_sech_001.nc'
+ MXHIST_SECH = 24
+ SECFLDS = 'TN' 'UN' 'VN' 'WN' 'O2' 'O1' 'N2' 'NO' 'N4S' 'HE' 'NE' 
+           'TE' 'TI' 'TEC' 'O2P' 'OP' 'POTEN' 'UI_ExB' 'VI_ExB' 
+           'WI_ExB' 'DEN' 'QJOULE' 'HMF2' 'NMF2' 'Z' 'ZG'
+ GSWM_MI_DI_NCFILE = '$TGCMDATA/gswm_diurn_2.5d_99km.nc'
+ GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_2.5d_99km.nc'
+ GSWM_NM_DI_NCFILE = '$TGCMDATA/gswm_nonmig_diurn_2.5d_99km.nc'
+ GSWM_NM_SDI_NCFILE = '$TGCMDATA/gswm_nonmig_semi_2.5d_99km.nc'
+ POTENTIAL_MODEL = 'HEELIS'
+ POWER = 18.
+ CTPOTEN = 30.
+ F107 = 70.
+ F107A = 70.
+ CALC_HELIUM = 1
+/
diff --git a/scripts/tiegcm_res2.5_default.inp b/scripts/tiegcm_res2.5_default.inp
deleted file mode 100644
index 13ac56c..0000000
--- a/scripts/tiegcm_res2.5_default.inp
+++ /dev/null
@@ -1,32 +0,0 @@
-&tgcm_input
- LABEL = 'tiegcm res=2.5'
- START_YEAR = 2002
- START_DAY  = 80
- CALENDAR_ADVANCE = 1
- SOURCE = '$TGCMDATA/tiegcm_res2.5_mareqx_smin_prim.nc'
- SOURCE_START = 80 0 0
- START = 80 0 0
- STOP  = 81 0 0
- STEP  = 30
- HIST = 1 0 0
- OUTPUT = 'tiegcm_res2.5_mareqx_smin_prim_001.nc'
- MXHIST_PRIM = 10
- SECSTART = 80 1 0
- SECSTOP  = 81 0 0
- SECHIST  =  0 1 0
- SECOUT   = 'tiegcm_res2.5_mareqx_smin_sech_001.nc'
- MXHIST_SECH = 24
- SECFLDS = 'TN' 'UN' 'VN' 'WN' 'O2' 'O1' 'N2' 'NO' 'N4S' 'HE' 'NE' 
-           'TE' 'TI' 'TEC' 'O2P' 'OP' 'POTEN' 'UI_ExB' 'VI_ExB' 
-           'WI_ExB' 'DEN' 'QJOULE' 'HMF2' 'NMF2' 'Z' 'ZG'
- GSWM_MI_DI_NCFILE  = '$TGCMDATA/gswm_diurn_2.5d_99km.nc'
- GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_2.5d_99km.nc'
- GSWM_NM_DI_NCFILE  = '$TGCMDATA/gswm_nonmig_diurn_2.5d_99km.nc'
- GSWM_NM_SDI_NCFILE = '$TGCMDATA/gswm_nonmig_semi_2.5d_99km.nc'
- POTENTIAL_MODEL = 'HEELIS'
- POWER   = 18.
- CTPOTEN = 30.
- F107    = 70.
- F107A   = 70.
- CALC_HELIUM = 1
-/
diff --git a/scripts/tiegcm_res5.0_default.inp b/scripts/tiegcm_res5.0_default.inp
deleted file mode 100644
index d4e61d9..0000000
--- a/scripts/tiegcm_res5.0_default.inp
+++ /dev/null
@@ -1,30 +0,0 @@
-&tgcm_input
- LABEL = 'tiegcm res=5.0'
- START_YEAR = 2002
- START_DAY  = 80
- CALENDAR_ADVANCE = 1
- SOURCE = '$TGCMDATA/tiegcm_res5.0_mareqx_smin_prim.nc'
- SOURCE_START = 80 0 0
- START = 80 0 0
- STOP  = 81 0 0
- STEP  = 60
- HIST = 1 0 0
- OUTPUT = 'tiegcm_res5.0_mareqx_smin_prim_001.nc'
- MXHIST_PRIM = 10
- SECSTART = 80 1 0
- SECSTOP  = 81 0 0
- SECHIST  =  0 1 0
- SECOUT   = 'tiegcm_res5.0_mareqx_smin_sech_001.nc'
- MXHIST_SECH = 24
- SECFLDS = 'TN' 'UN' 'VN' 'WN' 'O2' 'O1' 'N2' 'NO' 'N4S' 'HE' 'NE' 
-           'TE' 'TI' 'TEC' 'O2P' 'OP' 'POTEN' 'UI_ExB' 'VI_ExB' 
-           'WI_ExB' 'DEN' 'QJOULE' 'HMF2' 'NMF2' 'Z' 'ZG'
- GSWM_MI_DI_NCFILE  = '$TGCMDATA/gswm_diurn_5.0d_99km.nc'
- GSWM_MI_SDI_NCFILE = '$TGCMDATA/gswm_semi_5.0d_99km.nc'
- POTENTIAL_MODEL = 'HEELIS'
- POWER   = 18.
- CTPOTEN = 30.
- F107    = 70.
- F107A   = 70.
- CALC_HELIUM = 1
-/
diff --git a/src/addfld.F b/src/addfld.F
index dad6230..1844450 100644
--- a/src/addfld.F
+++ b/src/addfld.F
@@ -11,7 +11,6 @@ module addfld_module
 ! 7/13/06 btf: Using fsechist%data associated status to determine 
 !              firstcall, rather than unames.
 !
-      use params_module
       implicit none
       contains
 !-----------------------------------------------------------------------
@@ -133,10 +132,12 @@ subroutine addfld(name,long_name,units,
 ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 !
 ! Use modules:
-      use fields_module,only: fsechist,f4d,nf4d,shortname_len
+      use params_module,only: nlevp1,nilevp1,nlonp4,nlat,
+     |  nmlevp1,nimlevp1,nmlonp1,nmlat,mxfsech,spval
+      use fields_module,only: fsechist,f4d,nf4d
       use hist_module,only: isechist,modeltime
       use init_module,only: istep
-      use mpi_module,only: lat0,lat1,lon0,lon1
+      use mpi_module,only: lat0,lat1,lon0,lon1,mlat0,mlat1,mlon0,mlon1
       implicit none
 !
 ! Args:
@@ -147,10 +148,8 @@ subroutine addfld(name,long_name,units,
 ! Local:
       integer :: ier,i,j,k,ii,ix,ixf4d,iseries_p,iseries_s
       integer :: idim1,idim2,idim3,ihdim1,ihdim2,ihdim3
-      logical :: time2write,wrprim,wrsech,newseries_prim,
-     |  newseries_sech,found
+      logical :: time2write,wrprim,wrsech,newseries_prim,newseries_sech
       logical :: mag,geo,firstcall
-      real :: fmin,fmax
       character(len=8) :: dname3
       integer :: istep1=-1
 !
@@ -269,7 +268,8 @@ subroutine addfld(name,long_name,units,
       fsechist(ix)%task0_only = .false.
       if ((index(dname1,'lon') > 0 .and. lb1==1.and.ub1==idim1) .or.
      |    (index(dname2,'lon') > 0 .and. lb2==1.and.ub2==idim2))
-     |  fsechist(ix)%task0_only = .true.
+!    |  fsechist(ix)%task0_only = .true.
+     |  call shutdown('task0_only calls to addfld are not supported')
 !
 ! Mag or geo:
       geo = .true. ; mag = .false.
@@ -382,7 +382,13 @@ subroutine addfld(name,long_name,units,
         ihdim2=fsechist(ix)%dimsizes(2)
         ihdim3=fsechist(ix)%dimsizes(3)
         if (idx > 0) then
-          allocate(fsechist(ix)%data(ihdim1,ihdim2,ihdim3),stat=ier)
+          if (geo) then
+            allocate(fsechist(ix)%data(lon0:lon1,lat0:lat1,nlevp1),
+     |        stat=ier)
+          else
+            allocate(fsechist(ix)%data(mlon0:mlon1,mlat0:mlat1,nmlevp1),
+     |        stat=ier)
+          endif
           if (ier /= 0) then
             write(6,"(/,'>>> Error allocating 3d (ihdim1=',i3,
      |        ',ihdim2=',i3,',ihdim3=',i3,') for field ',a)") 
@@ -399,7 +405,12 @@ subroutine addfld(name,long_name,units,
 !
 ! 2d (i,j):
         else ! idx==0 (no lev dimension)
-          allocate(fsechist(ix)%data(ihdim1,ihdim2,1),stat=ier)
+          if (geo) then
+            allocate(fsechist(ix)%data(lon0:lon1,lat0:lat1,1),stat=ier)
+          else
+            allocate(fsechist(ix)%data(mlon0:mlon1,mlat0:mlat1,1),
+     |        stat=ier)
+          endif
           if (ier /= 0) then
             write(6,"(/,'>>> Error allocating 2d (ihdim1=',i3,
      |        ' ihdim2=',i3,' for field ',a)") ihdim1,ihdim2,
@@ -509,20 +520,6 @@ subroutine addfld(name,long_name,units,
         write(6,"('  task0_only = ', l5)") fsechist(ix)%task0_only
       endif ! first call for this field
 !
-! Print non-spval min,max, i.e., portion contributed by current task:
-!     if (fsechist(ix)%ndims==3) then
-!       call fminmaxspv(fsechist(ix)%data(:,:,:),
-!    |    fsechist(ix)%dimsizes(1)*fsechist(ix)%dimsizes(2)*
-!    |    fsechist(ix)%dimsizes(3),fmin,fmax,spval)
-!       write(6,"('  3-d min,max (non-spval portion so far)= ',
-!    |    2e12.4)") fmin,fmax
-!     else
-!       call fminmaxspv(fsechist(ix)%data(:,:,1),
-!    |    fsechist(ix)%dimsizes(1)*fsechist(ix)%dimsizes(2),
-!    |    fmin,fmax,spval)
-!       write(6,"('  2-d min,max (non-spval portion so far)= ',
-!    |    2e12.4)") fmin,fmax
-!     endif
       end subroutine addfld
 !-----------------------------------------------------------------------
       end module addfld_module
diff --git a/src/addiag.F b/src/addiag.F
index 54ecae2..73163b5 100644
--- a/src/addiag.F
+++ b/src/addiag.F
@@ -1,5 +1,5 @@
-      subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
-     |  zg,n2,lon0,lon1,lev0,lev1,lat0,lat1)
+      subroutine addiag(tn,o2,o1,he,vn,vc,mbar,barm,xnmbar,xnmbari,
+     |  scht,schti,z,zg,n2,lon0,lon1,lev0,lev1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -8,12 +8,12 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 ! Calculate needed terms vc, barm, xnmbar[i,m], and Z:
 !
       use cons_module,only: cs,rmassinv,rmassinv_he,dz,dzgrav,
-     |  freq_semidi,dt,p0,boltz,expz,expzmid,expzmid_inv,zbound
-      use init_module,only: iter,igetgswm
+     |  gask,grav,p0,boltz,expz,expzmid,expzmid_inv
       use fields_module,only: tlbc
       use addfld_module,only: addfld
       use lbc,only: z_lbc
-      use diags_module,only: mkdiag_SCHT,mkdiag_ZGMID
+      use diags_module,only: mkdiag_SCHT,mkdiag_ZGMID,
+     |  mkdiag_O_N2,mkdiag_N2
       implicit none
 !
 ! Input args:
@@ -29,13 +29,15 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
      |  intent(out) ::
      |  vc  ,
+     |  mbar,
      |  barm,
+     |  scht,
+     |  schti,
      |  z   ,
      |  zg  ,
      |  n2  ,
      |  xnmbar , 
-     |  xnmbari,
-     |  xnmbarm
+     |  xnmbari
 !
 ! VT vampir tracing:
 !
@@ -50,8 +52,6 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
      |  tni  (lev0:lev1,lon0:lon1), ! tn at interfaces
      |  expzi(lev0:lev1,lon0:lon1), ! e(-z) at interfaces
      |  w1   (lev0:lev1,lon0:lon1)
-      complex :: expt
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 116 ; state = 'addiag' ; activity='ModelCode'
@@ -80,6 +80,12 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 !       write(6,"('addiag: j=',i4,' n2(:,lon0:lon1,j)=',2e12.4)")
 !    |    j,minval(n2(:,lon0:lon1,j)),maxval(n2(:,lon0:lon1,j))
 !
+! Provide diagnostics N2 and O/N2 (moved from comp.F):
+!
+        call mkdiag_N2('N2',n2(:,lon0:lon1,j),lev0,lev1,lon0,lon1,j)
+        call mkdiag_O_N2('O_N2',o1(:,lon0:lon1,j),n2(:,lon0:lon1,j),
+     |    lev0,lev1,lon0,lon1,j)
+!
 ! vc = cos(phi)*v
 !
         do i=lon0,lon1
@@ -90,31 +96,34 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 !       call addfld('diag_vc',' ',' ',vc(lev0:lev1-1,lon0:lon1,j),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,j)
 !
-! barm = mean molecular weight (k+1/2):
+! mbar = mean molecular weight
 !
         do i=lon0,lon1
           do k=lev0,lev1
-            barm(k,i,j) = 1./ 
+            mbar(k,i,j) = 1./ 
      |        (o2(k,i,j)*rmassinv(1)+o1(k,i,j)*rmassinv(2)+
      |         he(k,i,j)*rmassinv_he+n2(k,i,j)*rmassinv(3))
-            xnmbarm(k,i,j)=p0*expz(k)*barm(k,i,j)/
+            xnmbar(k,i,j)=p0*expz(k)*mbar(k,i,j)/
      |        (boltz*tn(k,i,j))
           enddo
+          xnmbar(lev1,i,j)=p0*expz(lev1-1)*mbar(lev1,i,j)/
+     |      (boltz*tn(lev1-1,i,j))
         enddo
 !
-! barm1 = barm(k=0) (linear extrapolation)
+! barm = mean molecular weight (k+1/2):
+! barm1 = mbar(k=0) (linear extrapolation)
 !
         do i=lon0,lon1
-          barm1(i) = 1.5*barm(1,i,j)-0.5*barm(2,i,j)
+          barm1(i) = 1.5*mbar(1,i,j)-0.5*mbar(2,i,j)
         enddo
-!       call addfld('barm',' ',' ',barm(:,lon0:lon1,j),
+!       call addfld('mbar',' ',' ',mbar(:,lon0:lon1,j),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,j)
 !
-! barm(k) = 0.5*(barm(k+1/2)+barm(k-1/2)), k = kmaxp1,2,1
+! barm(k) = 0.5*(mbar(k+1/2)+mbar(k-1/2)), k = kmaxp1,2,1
 !
         do i=lon0,lon1
           do k=lev1,lev0+1,-1
-            barm(k,i,j) = 0.5*(barm(k,i,j)+barm(k-1,i,j))
+            barm(k,i,j) = 0.5*(mbar(k,i,j)+mbar(k-1,i,j))
           enddo
         enddo
 !
@@ -124,15 +133,6 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
           barm(lev0,i,j) = barm1(i)
         enddo
 !
-! xnmbar = p0*e(-z)*barm/kT at midpoints (used in conversion from mmr to cm3).
-! (used by oplus)
-        do i=lon0,lon1
-          do k=lev0,lev1-1
-            xnmbar(k,i,j)=p0*expz(k)*.5*(barm(k,i,j)+barm(k+1,i,j))
-     |        /(boltz*tn(k,i,j))
-          enddo
-        enddo
-!
 ! xnmbari = p0*e(-z)*barm/kT at interfaces (used by qrj and qinite):
         do i=lon0,lon1
 !         tni(1,i) = tn(lev1,i,j) ! tn bottom boundary is stored in top slot
@@ -153,6 +153,14 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,j)
 !       call addfld('TNI','TNI from addiag','K',
 !    |    tni(:,:),'ilev',lev0,lev1,'lon',lon0,lon1,j)
+!
+! Calculate scale height
+        do i=lon0,lon1
+          do k=lev0,lev1
+            scht(k,i,j) = gask*tn(k,i,j)/(mbar(k,i,j)*grav)
+            schti(k,i,j) = gask*tni(k,i)/(barm(k,i,j)*grav)
+          enddo
+        enddo
       enddo ! j=lat0,lat1
 !
 ! Calculate geopotential Z:
@@ -162,10 +170,10 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 !
 ! Complete calculation of geopotential Z:
 !
-! w1 = barm
+! w1 = mbar
         do i=lon0,lon1
           do k=lev0,lev1-1
-            w1(k,i) = (barm(k,i,j)+barm(k+1,i,j))*0.5
+            w1(k,i) = mbar(k,i,j)
           enddo
         enddo
 !       call addfld('W1a',' ',' ',w1,'lev',lev0,lev1,'lon',lon0,lon1,j)
@@ -200,7 +208,7 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
       enddo ! j=lat0,lat1
 !
 ! Calculate diagnostic geopotential zg, with varying gravity:
-      call calczg(tn,o2,o1,n2,he,z,zg,lon0,lon1,lev0,lev1,lat0,lat1)
+      call calczg(scht,z,zg,lon0,lon1,lev0,lev1,lat0,lat1)
 !
 ! Interpolate Z from interfaces to midpoints for diagnostic:
       do j=lat0,lat1
@@ -218,8 +226,7 @@ subroutine addiag(tn,o2,o1,he,vn,vc,barm,xnmbar,xnmbari,xnmbarm,z,
 #endif
       end subroutine addiag
 !-----------------------------------------------------------------------
-      subroutine calczg(tn,o2,o1,n2,he,z,zg,lon0,lon1,lev0,lev1,
-     |  lat0,lat1)
+      subroutine calczg(scht,z,zg,lon0,lon1,lev0,lev1,lat0,lat1)
 !
 ! Given geopotential z (calculated with the model constant gravity),
 !   calculate geopotential zg with varying gravity. This is taken from
@@ -227,18 +234,13 @@ subroutine calczg(tn,o2,o1,n2,he,z,zg,lon0,lon1,lev0,lev1,
 ! ZG will be put on secondary histories, along with the regular Z.
 !
       use params_module,only: dz,glat
-      use init_module,only: istep
-      use cons_module,only: boltz,avo
+      use cons_module,only: grav
       use addfld_module,only: addfld
 !
 ! Args:
       integer,intent(in) :: lon0,lon1,lev0,lev1,lat0,lat1
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),intent(in)::
-     |  tn, ! neutral temperature (deg K)
-     |  o2, ! molecular oxygen (mmr)
-     |  o1, ! atomic oxygen (mmr)
-     |  he, ! helium (mmr)
-     |  n2, ! molecular nitrogen (mmr)
+     |  scht, ! scale height
      |  z   ! geopotential calculated with constant gravity (from addiag)
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
      |  intent(out) :: 
@@ -247,7 +249,7 @@ subroutine calczg(tn,o2,o1,n2,he,z,zg,lon0,lon1,lev0,lev1,
 ! Local:
       integer :: i,j,k
       real :: g0,r0,c2
-      real,dimension(lev0:lev1) :: xmas,g
+      real,dimension(lev0:lev1) :: g
       real,parameter :: dgtr=1.74533E-2
 !
 ! Latitude scan:
@@ -260,14 +262,11 @@ subroutine calczg(tn,o2,o1,n2,he,z,zg,lon0,lon1,lev0,lev1,
 ! Longitude scan:
         do i=lon0,lon1
           g(1)=g0*(r0/(r0+0.5*(z(1,i,j)+z(2,i,j))))**2
-          xmas(:) = 1./(o1(:,i,j)/16.+o2(:,i,j)/32.+he(:,i,j)/4.+
-     |                  n2(:,i,j)/28.)/avo
 !
 ! Interface levels:
           zg(lev0,i,j) = z(lev0,i,j)
           do k=lev0+1,lev1-1
-            zg(k,i,j) = zg(k-1,i,j) + boltz*dz*tn(k-1,i,j) / 
-     |        (xmas(k-1)*g(k-1))
+            zg(k,i,j) = zg(k-1,i,j) + dz*scht(k-1,i,j)*grav/g(k-1)
             g(k)=g0*(r0/(r0+0.5*(zg(k,i,j)+z(k+1,i,j))))**2
           enddo ! k=lev0+1,lev1-1
           zg(lev1,i,j) = 2.0*zg(lev1-1,i,j)-zg(lev1-2,i,j)
diff --git a/src/advance.F b/src/advance.F
index 085a88d..318ea9c 100644
--- a/src/advance.F
+++ b/src/advance.F
@@ -15,13 +15,12 @@ subroutine advance
 ! Advance the model nstep time steps.
 !
       use fields_module
-      use hist_module,only: nstep,modeltime,nsource
+      use hist_module,only: nstep,modeltime
       use heelis_module,only: heelis
-      use wei05sc,only: weimer05,       ! Weimer 2005 model
-     |  wei05sc_fac  ! field-aligned current diagnostic (nmlonp1,nmlat)
-      use input_module,only: start,step,idynamo=>dynamo,
+      use wei05sc,only: weimer05        ! Weimer 2005 model
+      use input_module,only: pristart,step,idynamo=>dynamo,
      |  calendar_advance,gpi_ncfile,potential_model,wei05sc_ncfile,
-     |  imf_ncfile,current_pg,current_kq,iamie,amie_ibkg,amiesh,amienh
+     |  imf_ncfile,current_pg,current_kq,iamie,amie_ibkg
       use input_module,only: 
      |  power  ,power_time  ,ntimes_power, rd_power,
      |  ctpoten,ctpoten_time,ntimes_ctpoten, rd_ctpoten,
@@ -35,8 +34,7 @@ subroutine advance
      |  f107   ,f107_time   ,ntimes_f107,
      |  f107a  ,f107a_time  ,ntimes_f107a
       use init_module,only: istep,uthr,iter,secs,iday,iyear
-      use cons_module,only: dt,re,cs,racs,ylatm,rtd
-      use filter_module,only: filter
+      use cons_module,only: dt
       use qrj_module,only: init_sflux
       use magfield_module,only: sunloc_apex
       use pdynamo_module,only: pefield
@@ -48,7 +46,7 @@ subroutine advance
       use gpi_module,only: rdgpi,getgpi
       use imf_module,only: getimf
       use gswm_module,only: getgswm
-      use params_module,only: nlonp4,nlat,nlev
+      use params_module,only: nlonp4,nlat
       use amie_module,only: getamie,tiepot
       use output,only: outhist
       use addfld_module,only: addfld
@@ -58,42 +56,30 @@ subroutine advance
       use pdynamo_module,only: dynamo_inputs,pdynamo,pefield,
      |  prepare_phig3d,nmlat0,phihm 
 
-#if defined(INTERCOMM) || defined(CISMAH)
-      use cism_coupling_module,only: import, export, geng,gflx
-#endif
+      use mage_coupling_module,only: import_mage, export_mage,
+     |  process_import
 
 !      
 ! current due to plasma pressure & gravity -> add to RHS of dynamo    
       use magpres_g, only: magpres_grav
 !
-#ifdef MPI
       use mpi_module,only: 
-     |  mytid,mp_gather2root,mp_bndlats,ntask,lat0,lat1,lon0,lon1,
-     |  mp_bndlons,mp_polelats,mp_periodic_f4d
+     |  mytid,mp_bndlats,ntask,lat0,lat1,lon0,lon1,
+     |  mp_bndlons,mp_polelats,mp_periodic_f4d,TIEGCM_WORLD
 !
       implicit none
-#include <mpif.h>
-#else
-      implicit none
-      integer :: lat0=1,lat1=nlat, lon0=1,lon1=nlonp4
-      integer :: mytid=0,ntask=1
-#endif
 #ifdef VT
 #include <VT.inc>
 #endif
 !
 ! Local:
-      integer :: i,j,k,lat,itmp,icount_step,nlatlocal,icount_mpi,ier,
-     |  iprint
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer :: cmodeltime(4) !CISM coupling time
-#endif
+      integer :: i,j,itmp,ier,iprint
+      integer :: cmodeltime(4) !MAGE coupling time
       real :: fmin,fmax
-      real :: polesigns(1)=1.  ! for n2 call to mp_polelats
       integer(kind=8) :: nsecs ! current model time in seconds,
                                ! including model day
-      logical :: time2write,wrprim,wrsech,newseries_sech,
-     |  newseries_prim,iseries_sech,iseries_prim
+      logical :: time2write,wrprim,wrsech,newseries_sech,newseries_prim
+      integer :: iseries_sech,iseries_prim
       real :: secs_per_step,dday,
      |  time0,          time1,
      |  time0_step,     time1_step,
@@ -102,8 +88,7 @@ subroutine advance
      |  time0_phist,    time1_phist,
      |  time0_shist,    time1_shist,
      |  time0_prep,     time1_prep,
-     |  time0_init,     time1_init,
-     |  time0_barrier,  time1_barrier
+     |  time0_init,     time1_init
       character(len=3) :: timing_type
 !
       logical :: debug=.false.
@@ -123,8 +108,7 @@ subroutine advance
 !
 ! Init timestep index, modeltime, and nsecs:
       istep = 0
-      modeltime(1:3) = start(:,1)
-      modeltime(4) = 0
+      modeltime = pristart(:,1)
       call modeltime_to_nsecs(modeltime,nsecs) ! sets nsecs, includes day
       timing_type = 'sys'
       if (timing%rtc) timing_type = 'rtc'
@@ -145,25 +129,14 @@ subroutine advance
      |  wrsech, newseries_sech, iseries_sech)
 
       if (time2write) then
-#ifdef MPI
 !
 ! If an initial run, echo source history to output before first time step. 
-!   Because only subdomains are read by rdhist, and only the root task 
-!   outputs histories, the subdomain data must be gathered to the root.
 !
-        call mp_gather2root(itc,'prim')
-        if (mytid==0) call outhist(istep,modeltime)
-#else
         do i=1,nf4d
           foutput(:,lon0:lon1,lat0:lat1,i) =
      |      f4d(i)%data(:,lon0:lon1,lat0:lat1,itc)
         enddo
-        tlbc_glb(lon0:lon1,lat0:lat1) = tlbc(lon0:lon1,lat0:lat1)
-        ulbc_glb(lon0:lon1,lat0:lat1) = ulbc(lon0:lon1,lat0:lat1)
-        vlbc_glb(lon0:lon1,lat0:lat1) = vlbc(lon0:lon1,lat0:lat1)
-
         call outhist(istep,modeltime)
-#endif
 !
 ! nstep may be zero if user only wants to copy source history:
         if (nstep==0) then
@@ -197,9 +170,7 @@ subroutine advance
       iter=iter+1
       istep = istep+1
       nsecs = nsecs+step
-#if defined(INTERCOMM) || defined(CISMAH)
-      cmodeltime=modeltime             !!! CISM ad hoc coupling
-#endif
+      cmodeltime=modeltime             !!! MAGE coupling
       call nsecs_to_modeltime(nsecs,modeltime) ! increments modeltime(4)
       secs = mod(iter*int(dt),86400)
       uthr = secs/3600.
@@ -218,28 +189,27 @@ subroutine advance
 ! is zero, interpolation is not done.
 !
       if (ntimes_ctpoten > 0) 
-     |  call set_index(ctpoten_time,ntimes_ctpoten,nsecs,ctpoten,
-     |    'ctpoten')
+     |  call set_index(ctpoten_time,ntimes_ctpoten,nsecs,ctpoten)
       if (ntimes_power > 0) 
-     |  call set_index(power_time,ntimes_power,nsecs,power,'power')
+     |  call set_index(power_time,ntimes_power,nsecs,power)
       if (ntimes_bximf > 0) 
-     |  call set_index(bximf_time,ntimes_bximf,nsecs,bximf,'bximf')
+     |  call set_index(bximf_time,ntimes_bximf,nsecs,bximf)
       if (ntimes_byimf > 0) 
-     |  call set_index(byimf_time,ntimes_byimf,nsecs,byimf,'byimf')
+     |  call set_index(byimf_time,ntimes_byimf,nsecs,byimf)
       if (ntimes_bzimf > 0) 
-     |  call set_index(bzimf_time,ntimes_bzimf,nsecs,bzimf,'bzimf')
+     |  call set_index(bzimf_time,ntimes_bzimf,nsecs,bzimf)
       if (ntimes_swden > 0) 
-     |  call set_index(swden_time,ntimes_swden,nsecs,swden,'swden')
+     |  call set_index(swden_time,ntimes_swden,nsecs,swden)
       if (ntimes_swvel > 0) 
-     |  call set_index(swvel_time,ntimes_swvel,nsecs,swvel,'swvel')
+     |  call set_index(swvel_time,ntimes_swvel,nsecs,swvel)
       if (ntimes_al > 0) 
-     |  call set_index(al_time,ntimes_al,nsecs,al,'al')
+     |  call set_index(al_time,ntimes_al,nsecs,al)
       if (ntimes_kp > 0) 
-     |  call set_index(kp_time,ntimes_kp,nsecs,kp,'kp')
+     |  call set_index(kp_time,ntimes_kp,nsecs,kp)
       if (ntimes_f107 > 0) 
-     |  call set_index(f107_time,ntimes_f107,nsecs,f107,'f107')
+     |  call set_index(f107_time,ntimes_f107,nsecs,f107)
       if (ntimes_f107a > 0) 
-     |  call set_index(f107a_time,ntimes_f107a,nsecs,f107a,'f107a')
+     |  call set_index(f107a_time,ntimes_f107a,nsecs,f107a)
 !
 ! Get gpi data if necessary:
       if (len_trim(gpi_ncfile) > 0) then
@@ -253,7 +223,7 @@ subroutine advance
       if (len_trim(imf_ncfile) > 0) then
         iprint = 0
         if (istep==1) iprint = 1
-        call getimf(iyear,iday,int(secs),istep,iprint)
+        call getimf(iyear,iday,int(secs),istep)
       endif
 !
 ! If the potential model is Weimer and power was not provided
@@ -291,18 +261,23 @@ subroutine advance
 !
 ! Get GSWM tidal boundary data:
 !
-      call getgswm(istep,iyear,iday,secs)
+      call getgswm(istep,iday,secs)
 !
 ! Update lower boundaries of t,u,v,z:
 !
-      call tuvz_lbc(istep,iyear,iday,secs,itp)
+      call tuvz_lbc(istep,iday,secs)
 !
-#if defined(INTERCOMM) || defined(CISMAH)
+! Receive aurora parameters from the M-I coupler for MAGE
 !
-! Receive aurora parameters from the M-I coupler for CISM
+      call import_mage
 !
-      call import
-#endif
+! Send conductance and neutral wind current to M-I coupler for MAGE
+!
+      call export_mage(cmodeltime)
+!
+! Process the imported data
+!
+      call process_import
 !
 ! Report to stdout:
       if (time2print(nstep,istep)) then
@@ -311,22 +286,22 @@ subroutine advance
      |      ' secs/step (',a,') =',f6.2)") istep,nstep,modeltime,
      |      timing_type,secs_per_step
         else
-          write(6,"('Step ',i8,' of ',i8,' mtime=',3i3)")
-     |      istep,nstep,modeltime(1:3)
+          write(6,"('Step ',i8,' of ',i8,' mtime=',4i3)")
+     |      istep,nstep,modeltime
         endif
 !
 ! GPI data run:
         if (len_trim(gpi_ncfile) > 0) then
-          write(6,"('GPI run: mtime=',3i3,' power=',f8.3,' ctpoten=',
-     |      f8.3,' f107=',f8.3,' f107a=',f8.3)")modeltime(1:3),
+          write(6,"('GPI run: mtime=',4i3,' power=',f8.3,' ctpoten=',
+     |      f8.3,' f107=',f8.3,' f107a=',f8.3)")modeltime,
      |      power,ctpoten,f107,f107a
         endif
 !
 ! Weimer/IMF/OMNI data run:
         if (len_trim(imf_ncfile) > 0) then
-          write(6,"('IMF run: mtime=',3i3,' bx=',f8.3,' by=',f8.3,
+          write(6,"('IMF run: mtime=',4i3,' bx=',f8.3,' by=',f8.3,
      |      ' bz=',f8.3,' swvel=',f8.3,' swden=',f8.3)")
-     |      modeltime(1:3),bximf,byimf,bzimf,swvel,swden
+     |      modeltime,bximf,byimf,bzimf,swvel,swden
         endif
       endif ! time2print
 !
@@ -341,7 +316,7 @@ subroutine advance
 ! Update aurora parameters:
       iprint = 0
       if (istep==1) iprint = 1
-      call aurora_cons(iprint,iyear,iday,secs)
+      call aurora_cons(iprint)
       if (debug) write(6,"('advance after aurora_cons')")
 !
 ! init_sflux calls ssflux and euvac (see qrj_module.F):
@@ -362,24 +337,24 @@ subroutine advance
 ! Calculate vc, barm, xnmbar, and z (tn,o2,o1,vn are input).
 !
       call addiag(
-     |  tn	 (levd0,lond0,latd0,itp),   ! in
-     |  o2	 (levd0,lond0,latd0,itp),   ! in
-     |  o1	 (levd0,lond0,latd0,itp),   ! in
-     |  he	 (levd0,lond0,latd0,itp),   ! in
-     |  vn	 (levd0,lond0,latd0,itp),   ! in
-     |  vc	 (levd0,lond0,latd0,itp),   ! out
-     |  barm   (levd0,lond0,latd0,itp),     ! out
-     |  xnmbar (levd0,lond0,latd0),	    ! out
-     |  xnmbari(levd0,lond0,latd0),	    ! out
-     |  xnmbarm(levd0,lond0,latd0),	    ! out
-     |  z      (levd0,lond0,latd0,itp),     ! out (note itp is output)
-     |  zg     (levd0,lond0,latd0),         ! out (z with varying grav)
-     |  n2     (levd0,lond0,latd0),         ! out (1.-o2-o1-he)
+     |  tn     (levd0,lond0,latd0,itp), ! in
+     |  o2     (levd0,lond0,latd0,itp), ! in
+     |  o1     (levd0,lond0,latd0,itp), ! in
+     |  he     (levd0,lond0,latd0,itp), ! in
+     |  vn     (levd0,lond0,latd0,itp), ! in
+     |  vc     (levd0,lond0,latd0,itp), ! out
+     |  mbar   (levd0,lond0,latd0,itp), ! out
+     |  barm   (levd0,lond0,latd0,itp), ! out
+     |  xnmbar (levd0,lond0,latd0,itp), ! out
+     |  xnmbari(levd0,lond0,latd0,itp), ! out
+     |  scht   (levd0,lond0,latd0,itp), ! out
+     |  schti  (levd0,lond0,latd0,itp), ! out
+     |  z      (levd0,lond0,latd0,itp), ! out (note itp is output)
+     |  zg     (levd0,lond0,latd0),     ! out (z with varying grav)
+     |  n2     (levd0,lond0,latd0),     ! out (1.-o2-o1-he)
      |  lon0,lon1,1,nlevp1,lat0,lat1)
 !   
       if (debug) write(6,"('advance after addiag')")
-
-#ifdef MPI
 !
 ! Define boundary latitudes -1,0 across the south pole, and
 !   nlat+1,nlat+2 across the north pole:
@@ -401,12 +376,6 @@ subroutine advance
         call mp_bndlats(f4d,nf4d,itp)
         call mp_bndlons(f4d,nf4d,itp)
       endif ! ntask==1
-#else
-      call mk_polelat( 0,1,itp)
-      call mk_polelat(-1,2,itp)
-      call mk_polelat(nlat+1,nlat  ,itp)
-      call mk_polelat(nlat+2,nlat-1,itp)
-#endif
 !
 ! For Z, itc==itp (itp was set by addiag):
       z(:,:,:,itc) = z(:,:,:,itp)
@@ -414,14 +383,16 @@ subroutine advance
 !
 ! Horizontal diffusion, first step:
 ! hdif1 saves nrh and kmh at lats -2->nlat in nrh and kmh using
-!   fields un_nm and vn_nm at j+1 and j+2, and tn_nm and barm at j+1.
-! hdif1 calls mp_bnd[lat,lons]_kmh
+!   fields un_nm and vn_nm at j+1 and j+2, and tn_nm and mbar at j+1.
+! hdif1 calls mp_bnd[lats,lons]_f3d
 !
       call hdif1(
      |  tn_nm(levd0,lond0,latd0,itp),
      |  un_nm(levd0,lond0,latd0,itp),
      |  vn_nm(levd0,lond0,latd0,itp),
-     |  barm (levd0,lond0,latd0,itp),
+     |  mbar (levd0,lond0,latd0,itp),
+     |  fnrh (levd0,lond0,latd0),
+     |  fkmh (levd0,lond0,latd0),
      |  1,nlevp1,lon0,lon1,lat0,lat1)
       if (debug) write(6,"('advance after hdif1')")
 !
@@ -439,12 +410,14 @@ subroutine advance
      |  o2_nm(levd0,lond0,latd0,itp),  ! 4d input
      |  o1_nm(levd0,lond0,latd0,itp),  ! 4d input
      |  he_nm(levd0,lond0,latd0,itp),  ! 4d input
-     |  kldt ,      ! 3d output
-     |  kldu ,      ! 3d output
-     |  kldv ,      ! 3d output
-     |  kldo2,      ! 3d output
-     |  kldo1,      ! 3d output
-     |  kldhe,      ! 3d output
+     |  fnrh (levd0,lond0,latd0),      ! 3d input
+     |  fkmh (levd0,lond0,latd0),      ! 3d input
+     |  kldt (levd0,lond0,latd0),      ! 3d output
+     |  kldu (levd0,lond0,latd0),      ! 3d output
+     |  kldv (levd0,lond0,latd0),      ! 3d output
+     |  kldo2(levd0,lond0,latd0),      ! 3d output
+     |  kldo1(levd0,lond0,latd0),      ! 3d output
+     |  kldhe(levd0,lond0,latd0),      ! 3d output
      |  1,nlevp1,lon0,lon1,lat0,lat1)
       if (debug) write(6,"('advance after hdif2')")
 !
@@ -467,9 +440,8 @@ subroutine advance
         if (debug) write(6,"('advance after weimer05: istep=',i4)")istep
 
 !       call addfld ('W05_EPOT','Weimer05 Electric Potential',
-!    |    'V',phihm,'mlon',1,nmlonp1,'mlat',1,nmlat,0)
-!       call addfld ('W05_FAC','Weimer05 Field-Aligned Current',
-!    |    ' ',wei05sc_fac,'mlon',1,nmlonp1,'mlat',1,nmlat,0)
+!    |    'V',phihm(mlon0:mlon1,mlat0:mlat1),
+!    |    'mlon',mlon0,mlon1,'mlat',mlat0,mlat1,0)
 
       elseif (potential_model == 'HEELIS') then
         call heelis
@@ -535,9 +507,8 @@ subroutine advance
 ! Prepare neutral inputs for parallel dynamo:
 ! Calculate vertical velocity wn:
         call calc_wn(
-     |    tn   (lev0:lev1,lon0:lon1,lat0:lat1,itp),
      |    w    (lev0:lev1,lon0:lon1,lat0:lat1,itp),
-     |    barm (lev0:lev1,lon0:lon1,lat0:lat1,itp),
+     |    scht (lev0:lev1,lon0:lon1,lat0:lat1,itp),
      |    wn   (lev0:lev1,lon0:lon1,lat0:lat1),     ! output
      |    1,nlevp1,lon0,lon1,lat0,lat1)
 
@@ -584,12 +555,6 @@ subroutine advance
      |      idynamo
       endif ! idynamo
 !
-#if defined(INTERCOMM) || defined(CISMAH)
-!
-! Send conductance and neutral wind current to M-I coupler for CISM
-!
-      call export(cmodeltime)
-#endif
 #ifdef VT
 !       code = 127 ; state = 'timestep' ; activity='ModelCode'
         call vtend(127,ier)
@@ -605,61 +570,28 @@ subroutine advance
       call timer(time0_step,time1,'STEP',1,0) ! suspend step timing for i/o
       time1_step = time1
 !
-! If its time to write a history, root task must gather subdomain
-! data from slave tasks before writing the history. This is done
-! by sub mp_gather2root. Only root task writes to the history.
+! If its time to write a history, all tasks write to the history.
 !
       if (time2write) then
         if (wrprim) call timer(time0_phist,time1,'PHIST',0,0) ! resume phist
         if (wrsech) call timer(time0_shist,time1_shist,'SHIST',0,0)
-#ifdef MPI
-        if (ntask > 1) then
-          if (debug) write(6,"('advance call mp_gather2root prim')")
-          call mp_gather2root(itc,'prim')
-          if (debug) write(6,"('advance after mp_gather2root prim')")
-          if (wrsech) call mp_gather2root(itc,'sech')
-          if (debug) write(6,"('advance after mp_gather2root sech')")
-        elseif (ntask==1) then
-          do i=1,nf4d
-            foutput(:,lon0:lon1,lat0:lat1,i) =
-     |        f4d(i)%data(:,lon0:lon1,lat0:lat1,itc)
-          enddo
-          tlbc_glb(lon0:lon1,lat0:lat1) = tlbc(lon0:lon1,lat0:lat1)
-          ulbc_glb(lon0:lon1,lat0:lat1) = ulbc(lon0:lon1,lat0:lat1)
-          vlbc_glb(lon0:lon1,lat0:lat1) = vlbc(lon0:lon1,lat0:lat1)
-          tlbc_nm_glb(lon0:lon1,lat0:lat1)=tlbc_nm(lon0:lon1,lat0:lat1)
-          ulbc_nm_glb(lon0:lon1,lat0:lat1)=ulbc_nm(lon0:lon1,lat0:lat1)
-          vlbc_nm_glb(lon0:lon1,lat0:lat1)=vlbc_nm(lon0:lon1,lat0:lat1)
-        endif
-!
-! Saving amieoutput here from master only - G. Lu, Aug. 27, 2003
-        if (iamie > 0) then
-          call prep_output(1,nlevp1,lon0,lon1,lat0,lat1)
-          if (mytid==0) call amieoutput
-        endif
-#else
-!
-! Update foutput if serial non-MPI run:
 !
         do i=1,nf4d
           foutput(:,lon0:lon1,lat0:lat1,i) =
      |      f4d(i)%data(:,lon0:lon1,lat0:lat1,itc)
         enddo
-        tlbc_glb(lon0:lon1,lat0:lat1) = tlbc(lon0:lon1,lat0:lat1)
-        ulbc_glb(lon0:lon1,lat0:lat1) = ulbc(lon0:lon1,lat0:lat1)
-        vlbc_glb(lon0:lon1,lat0:lat1) = vlbc(lon0:lon1,lat0:lat1)
-        tlbc_nm_glb(lon0:lon1,lat0:lat1) = tlbc_nm(lon0:lon1,lat0:lat1)
-        ulbc_nm_glb(lon0:lon1,lat0:lat1) = ulbc_nm(lon0:lon1,lat0:lat1)
-        vlbc_nm_glb(lon0:lon1,lat0:lat1) = vlbc_nm(lon0:lon1,lat0:lat1)
-#endif
 !
-! Write the history to output file:
-        if (mytid==0) then
-          if (debug) write(6,"('advance root call outhist')")
-          call outhist(istep,modeltime)
-          if (debug) write(6,"('advance after root call outhist')")
+! Saving amieoutput here - G. Lu, Aug. 27, 2003
+        if (iamie > 0) then
+          call prep_output
+          call amieoutput
         endif
 !
+! Write the history to output file:
+        if (debug) write(6,"('advance call outhist')")
+        call outhist(istep,modeltime)
+        if (debug) write(6,"('advance after call outhist')")
+!
 ! Update i/o timing:
         if (wrprim) then
           call timer(time0_phist,time1,'PHIST',1,0) ! end phist timing
@@ -668,15 +600,10 @@ subroutine advance
         if (wrsech) call timer(time0_shist,time1_shist,'SHIST',1,0)
       endif ! time2write
       call timer(time0_step,time1,'STEP',0,0) ! resume step timing (non-MPI)
-#ifdef MPI
 !
 ! Periodic points for all updated fields:
       call mp_periodic_f4d(itc)
       if (debug) write(6,"('advance after mp_periodic_f4d')")
-#else
-! Non-mpi serial run:
-      call set_periodic_f4d(itc)
-#endif
 !
 ! Swap field data time indices, so current updated data becomes previous
 ! step data for next step:
@@ -698,12 +625,11 @@ subroutine advance
 !
 ! Return for next time step:
       if (istep < nstep) then
-#ifdef MPI
         if (ntask > 1) then
-          call mpi_barrier(MPI_COMM_WORLD,ier) ! is this necessary??
+          call mpi_barrier(TIEGCM_WORLD,ier) ! is this necessary??
           if (debug) write(6,"('advance after end of step barrier')")
         endif
-#endif
+!
         if (debug) write(6,"('advance end iteration for step ',i4)")
      |    istep
         goto 100
@@ -720,8 +646,7 @@ subroutine advance_day
 !
 ! Advance calendar day if needed. Also update sfeps.
 !
-      use init_module,only: iter,iyear,iday,sfeps,sundec,sin_sundec,
-     |  cos_sundec
+      use init_module,only: iter,iyear,iday,sfeps,sin_sundec,cos_sundec
       use cons_module,only: dt,pi
       implicit none
 !
@@ -766,7 +691,7 @@ subroutine advance_day
       endif
       end subroutine advance_day
 !-----------------------------------------------------------------------
-      subroutine set_index(rindex,ntimes,msecs,outindex,name)
+      subroutine set_index(rindex,ntimes,msecs,outindex)
 !
 ! User has provided time-dependent ctpoten (ctpoten_time) and/or
 !   power (power_time) via namelist input. This routine interpolates
@@ -782,13 +707,12 @@ subroutine set_index(rindex,ntimes,msecs,outindex,name)
 !
 ! Args:
       real,intent(in) :: 
-     |  rindex(4,mxind_time) ! user input times and values (day,hour,min,value)
+     |  rindex(5,mxind_time) ! user input times and values (day,hour,min,sec,value)
       integer,intent(in) :: 
      |  ntimes  ! number of valid time/values in rindex(:,1:ntimes)
       integer(kind=8),intent(in) ::
      |  msecs   ! current model time in seconds
       real,intent(out) :: outindex ! output interpolated value
-      character(len=*),intent(in) :: name
 !
 ! Local:
       integer :: i
@@ -799,34 +723,34 @@ subroutine set_index(rindex,ntimes,msecs,outindex,name)
       real,external :: finterp_bigints
 !
 ! If model time is beyond last rindex time, use last rindex time:
-      nsec1 = mtime_to_nsec(int(rindex(1:3,ntimes)))
+      nsec1 = mtime_to_nsec(int(rindex(1:4,ntimes)))
       if (msecs > nsec1) then
-        outindex = rindex(4,ntimes)
+        outindex = rindex(5,ntimes)
         goto 100
       endif 
 !
 ! Bracket model time:
       do i=1,ntimes-1
-        nsec0 = mtime_to_nsec(int(rindex(1:3,i)))
-        nsec1 = mtime_to_nsec(int(rindex(1:3,i+1)))
+        nsec0 = mtime_to_nsec(int(rindex(1:4,i)))
+        nsec1 = mtime_to_nsec(int(rindex(1:4,i+1)))
 !
 ! If model time is at a provided time, interpolation is not necessary:
         if (nsec0 == msecs) then
-          outindex = rindex(4,i)
+          outindex = rindex(5,i)
           goto 100
         endif
         if (nsec1 == msecs) then
-          outindex = rindex(4,i+1)
+          outindex = rindex(5,i+1)
           goto 100
         endif
 !
 ! Interpolate to model time msecs:
         if (msecs >= nsec0 .and. msecs <= nsec1) then
           if (indices_interp > 0) then
-            outindex = finterp_bigints(rindex(4,i),rindex(4,i+1),nsec0,
+            outindex = finterp_bigints(rindex(5,i),rindex(5,i+1),nsec0,
      |        nsec1,msecs)
           else
-            outindex = rindex(4,i)
+            outindex = rindex(5,i)
           endif
           goto 100
         endif
@@ -838,43 +762,37 @@ subroutine set_index(rindex,ntimes,msecs,outindex,name)
      |  i10)") msecs
       write(6,"('ntimes=',i3)") ntimes
       do i=1,ntimes
-        write(6,"('  i=',i3,' ntimes=',i3,' day,hr,min=',3f7.2,
-     |    ' value=',e12.4)") i,ntimes,rindex(1:3,i),rindex(4,i)
+        write(6,"('  i=',i3,' ntimes=',i3,' day,hr,min,sec=',4f7.2,
+     |    ' value=',e12.4)") i,ntimes,rindex(1:4,i),rindex(5,i)
       enddo
       call shutdown('set_index')
 !
 ! Report to stdout:
  100  continue
-!     write(6,"('set_index: ',a,' = ',e12.4)") name,outindex
+!     write(6,"('set_index: ',e12.4)") outindex
       end subroutine set_index
 !-----------------------------------------------------------------------
-      subroutine calc_wn(tn,omega,barm,wn,lev0,lev1,lon0,lon1,lat0,lat1)
-      use cons_module,only: gask,grav
+      subroutine calc_wn(omega,scht,wn,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Calculate vertical velocity wn for dynamo inputs:
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
       real,dimension(lev0:lev1,lon0:lon1,lat0:lat1),intent(in) ::
-     |  tn,omega,barm
+     |  omega,scht
       real,dimension(lev0:lev1,lon0:lon1,lat0:lat1),intent(out) :: wn
 !
 ! Local:
       integer :: j,i,k
-      real,dimension(lev0:lev1,lon0:lon1,lat0:lat1) :: scheight
 
-!     write(6,"('calc_wn: tn=',2e12.4,' omega=',2e12.4,' barm=',
-!    |  2e12.4)") minval(tn),maxval(tn),minval(omega),maxval(omega),
-!    |  minval(barm),maxval(barm)
+!     write(6,"('calc_wn: omega=',2e12.4,' scht=',2e12.4)")
+!    |  minval(omega),maxval(omega),minval(scht),maxval(scht)
 !
       do j=lat0,lat1
         do i=lon0,lon1
           do k=lev0,lev1-1
-            scheight(k,i,j) = gask*tn(k,i,j)/(.5*(barm(k,i,j)+
-     |        barm(k+1,i,j))*grav)
-            wn(k,i,j)=0.5*(omega(k,i,j)+omega(k+1,i,j))*scheight(k,i,j)
+            wn(k,i,j)=0.5*(omega(k,i,j)+omega(k+1,i,j))*scht(k,i,j)
           enddo
-          scheight(lev1,i,j) = 0.
           wn(lev1,i,j) = 0.
         enddo
       enddo
diff --git a/src/allocdata.F b/src/allocdata.F
index cdcf710..4b78d31 100644
--- a/src/allocdata.F
+++ b/src/allocdata.F
@@ -9,10 +9,9 @@ subroutine allocdata
 ! init_fields in fields.F. This is not in field.F in order to 
 ! avoid circular module dependencies.
 !
-      use params_module,only: nlevp1,nlonp4,nlat
-      use fields_module,only: f4d,f3d,nf4d,nf3d,field_initval,foutput,
-     |  fzg
-      use mpi_module,only: lon0,lon1,lat0,lat1,mytid
+      use params_module,only: nlevp1
+      use fields_module,only: nf4d,foutput,fzg,fnrh,fkmh
+      use mpi_module,only: lon0,lon1,lat0,lat1
       use chemrates_module,only: alloc_tdep
       use qrj_module,only: alloc_q
       use n4s_module,only: alloc_n4s
@@ -23,10 +22,11 @@ subroutine allocdata
       use bgrd_data_module,only: alloc_bgrddata
       use ctmt_module,only: alloc_ctmt
       use pdynamo_module,only: alloc_pdyn
+      use dyndiag_module,only: alloc_dyndiag
       implicit none
 !
 ! Local:
-      integer :: i,istat,nlons,nlats,len 
+      integer :: istat
 !
 ! Allocate temperature-dependent chemical reaction rates:
       call alloc_tdep
@@ -55,55 +55,38 @@ subroutine allocdata
 ! Allocate needed fields for parallel dynamo (pdynamo.F):
       call alloc_pdyn
 !
-! We are not doing parallel i/o to netcdf output histories, so when
-! it comes time to write a history, the task subdomains are gathered
-! to the root task (see call mp_gather2root in advance), and only
-! the root task writes to the file. Here we allocate the full 3d grid
-! for all history fields on the root task. This is where the data
-! will be gathered and written by the root when a history is written. 
+      call alloc_dyndiag(lon0-2,lon1+2,lat0-2,lat1+2)
+!
+! We are doing parallel i/o to netcdf output histories,
+! so when it comes time to write a history,
+! the task subdomains are directly written to the file.
 !
 ! The pointer is declared in fields.F:
-!     real,pointer :: foutput(:,:,:,:) ! (nlevp1,nlonp4,nlat,nf4d)
+!     real,pointer :: foutput(:,:,:,:) ! (nlevp1,lon0:lon1,lat0:lat1,nf4d)
 ! 
-#ifdef MPI
-      if (mytid==0) then
-        allocate(foutput(nlevp1,nlonp4,nlat,nf4d),stat=istat)
-        if (istat /= 0) then
-          write(6,"('>>> allocdata: error allocating 3d data for ',
-     |      'all fields on root task: nlevp1=',i3,' nlonp4=',i3,
-     |      ' nlat=',i3,' nf4d=',i3,' istat=',i3)")
-     |      nlevp1,nlonp4,nlat,nf4d,istat
-        else
-          write(6,"('Allocated 3d data for all fields on root task:')")
-          len = nlevp1*nlonp4*nlat*nf4d
-          write(6,"('  nlevp1*nlonp4*nlat*nf4d = ',i3,'*',i3,'*',
-     |      i3,'*',i3,' = ',i10,' words *8 = ',i12,' bytes.')")
-     |      nlevp1,nlonp4,nlat,nf4d,len,len*8
-        endif
+      allocate(foutput(nlevp1,lon0:lon1,lat0:lat1,nf4d),stat=istat)
+      if (istat /= 0) then
+        write(6,"('>>> allocdata: error allocating 3d data for ',
+     |    'all fields on the current task: istat=',i3)") istat
+        call shutdown('allocdata')
       endif
-      allocate(fzg(nlevp1,nlonp4,nlat),stat=istat)
+!
+      allocate(fzg(nlevp1,lon0:lon1,lat0:lat1),stat=istat)
       if (istat /= 0) then
         write(6,"('>>> allocdata: error allocating fzg')")
-      else
-        write(6,"('allocdata: all tasks allocate fzg: nlevp1=',i4,
-     |    ' nlonp4=',i4,' nlat=',i4)") nlevp1,nlonp4,nlat
+        call shutdown('allocdata')
+      endif
+!
+      allocate(fnrh(nlevp1,lon0-2:lon1+2,lat0-2:lat1+2),stat=istat)
+      if (istat /= 0) then
+        write(6,"('>>> allocdata: error allocating fnrh')")
+        call shutdown('allocdata')
       endif
-#else
-      allocate(foutput(nlevp1,nlonp4,nlat,nf4d),stat=istat)
+!
+      allocate(fkmh(nlevp1,lon0-2:lon1+2,lat0-2:lat1+2),stat=istat)
       if (istat /= 0) then
-        write(6,"('>>> allocdata: error allocating 3d data for ',
-     |    'all fields on root task: nlevp1=',i3,' nlonp4=',i3,
-     |    ' nlat=',i3,' nf4d=',i3,' istat=',i3)")
-     |    nlevp1,nlonp4,nlat,nf4d,istat
-      else
-        write(6,"('Allocated 3d data for all fields on root task:')")
-        len = nlevp1*nlonp4*nlat*nf4d
-        write(6,"('  nlevp1*nlonp4*nlat*nf4d = ',i3,'*',i3,'*',
-     |    i3,'*',i3,' = ',i10,' words *8 = ',i12,' bytes.')")
-     |    nlevp1,nlonp4,nlat,nf4d,len,len*8
+        write(6,"('>>> allocdata: error allocating fkmh')")
+        call shutdown('allocdata')
       endif
-      allocate(fzg(nlevp1,nlonp4,nlat),stat=istat)
-      if (istat /= 0) 
-     |  write(6,"('>>> allocdata: error allocating fzg')")
-#endif
+!
       end subroutine allocdata
diff --git a/src/amie.F b/src/amie.F
index 812f727..d17f298 100644
--- a/src/amie.F
+++ b/src/amie.F
@@ -1,4 +1,3 @@
-#include "defs.h"
 !      
       module amie_module
 !      
@@ -10,11 +9,7 @@ module amie_module
       use addfld_module,only: addfld
       implicit none
 !
-#ifdef SUN
-#include "netcdf3.inc"
-#else
-#include "netcdf.inc"
-#endif 
+#include <netcdf.inc>
 !
 ! Define parameters for AMIE input data file:
       integer,parameter :: 
@@ -31,10 +26,6 @@ module amie_module
      |  tiepot(nmlonp1,nmlat),tieekv(nmlonp1,nmlat),
      |  tieefx(nmlonp1,nmlat),potg(nlonp1,0:nlatp1),
      |  efxg(nlonp1,0:nlatp1),ekvg(nlonp1,0:nlatp1)
-! defined output AMIE fields in TGCM geographic grid
-      real,dimension(nlonp4,nlat) :: 
-     |  potg_sech, ekvg_sech, efxg_sech
-      real,dimension(nmlonp1,-2:nlevp1) :: tiepot_sech
 !
 ! Define fields for AMIE input data file:
 ! electric potential in Volt
@@ -61,6 +52,9 @@ module amie_module
      |  cusplat_nh_amie, cuspmlt_nh_amie, cusplat_sh_amie,
      |  cuspmlt_sh_amie, hpi_sh_amie, hpi_nh_amie, pcp_sh_amie,
      |  pcp_nh_amie, crad(2), phida(2)
+!
+! Auroral boundaries from AMIE energy flux, 1 for SH, 2 for NH
+      real,dimension(2,nlon) :: aurbound
 !
       contains 
 !-----------------------------------------------------------------------
@@ -93,10 +87,10 @@ subroutine rdamie_nh
 ! Local:
       character(len=80) :: dskfile
       integer :: istat,ntimes,ncid,ndims,nvars,ngatts,idunlim,ier
-      integer :: id_lon,id_lat,id_time,lon,lat,mlt,
-     |    idv_year,idv_mon,idv_day,idv_jday,
-     |    idv_iter,idv_ut,idv_lon,idv_lat,idv_pot,idv_ekv,
-     |    idv_efx,idv_cusplat,idv_cuspmlt,idv_hpi,idv_pcp
+      integer :: id_lon,id_lat,id_time,
+     |    idv_year,idv_mon,idv_day,idv_jday,idv_ut,
+     |    idv_pot,idv_ekv,idv_efx,
+     |    idv_cusplat,idv_cuspmlt,idv_hpi,idv_pcp
 !
 ! Acquire mss file:
       dskfile = ' '
@@ -282,10 +276,10 @@ subroutine rdamie_sh
 ! Local:
       character(len=80) :: dskfile
       integer :: istat,ntimes,ncid,ndims,nvars,ngatts,idunlim,ier
-      integer :: id_lon,id_lat,id_time,lon,lat,mlt,
-     |    idv_year,idv_mon,idv_day,idv_jday,
-     |    idv_iter,idv_ut,idv_lon,idv_lat,idv_pot,idv_ekv,
-     |    idv_efx,idv_cusplat,idv_cuspmlt,idv_hpi,idv_pcp
+      integer :: id_lon,id_lat,id_time,
+     |    idv_year,idv_mon,idv_day,idv_jday,idv_ut,
+     |    idv_pot,idv_ekv,idv_efx,
+     |    idv_cusplat,idv_cuspmlt,idv_hpi,idv_pcp
 !
 ! Acquire mss file:
       dskfile = ' '
@@ -468,24 +462,30 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
       use hist_module,only: modeltime
       use input_module,only: iamie,amiesh,amienh
       use cons_module,only: pi,ylonm,ylatm,rtd
-      use magfield_module,only: im,jm,dim,djm,
+      use magfield_module,only: im,jm,dim,djm,rlatm,
      |  sunlons  ! geomag. dipole longitude of subsol. point from subroutine sunloc_apex
+      use mpi_module,only: lon0,lon1,lat0,lat1,mlon0,mlon1,mlat0,mlat1
 !
 ! Args:
       integer,intent(in) :: iyear,iday,iutsec,amie_ibkg,iprint
 !
 ! Local:
+      real,parameter :: ab_efx = 0.02
       real :: 
      |   potm(lonp1,jmxm),efxm(lonp1,jmxm),ekvm(lonp1,jmxm),
      |   alat(jmxm),alon(lonp1),alatm(jmxm),alonm(lonp1)
-      integer :: ier,lw,liw,isign,intpol(2)
+      integer :: ier,lw,liw,intpol(2)
       integer,allocatable :: iw(:)
       real,allocatable :: w(:)
       integer :: i,j,ndmon_nl(13),ndmon_lp(13),nonleap
       integer :: nn, iset, iset1, m, mp1, n, amie_debug,amieday
       integer :: iboxcar,inpt
-      real    :: model_ut, denoma, f1, f2, fmin, fmax, maxefx
+      real    :: model_ut, denoma, f1, f2, maxefx
       real    :: del,xmlt,dmlat,dlatm,dlonm,dmltm,rot,dtr
+!
+! defined output AMIE fields in TGCM geographic grid
+      real,dimension(nlonp4,lat0:lat1) :: 
+     |  potg_sech, ekvg_sech, efxg_sech
 !   
 ! Data: GSWM data given at the middle of each month 
 !       -> day of year for this data assuming non-leap year
@@ -579,11 +579,11 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
 !       call shutdown('getamie')
 !     endif
       if (modeltime(3).lt.0.or.modeltime(3).gt.59) then
-        write(6,"('>>> getamie: bad imin=',3i4)") modeltime(3)
+        write(6,"('>>> getamie: bad imin=',i4)") modeltime(3)
         call shutdown('getamie')
       endif
       if (modeltime(4).lt.0.or.modeltime(4).gt.59) then
-        write(6,"('>>> getamie: bad isec=',3i4)") modeltime(4)
+        write(6,"('>>> getamie: bad isec=',i4)") modeltime(4)
         call shutdown('getamie')
       endif
 !     model_ut = (modeltime(1)-amieday)*24. + float(iutsec)/3600.
@@ -1070,9 +1070,9 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
 !     enddo
 
 ! mlongitude starts from 180 degree
-!      rot = 250./15. - iutsec/3600.
+!     rot = 250./15. - iutsec/3600.
       rot = sunlons(1)*rtd
-      if(rot.lt.0) rot = rot + 360.    ! 0 to 360 degrees
+      if (rot < 0.) rot = rot+360.     ! 0 to 360 degrees
       rot = rot/15.                    ! convert from degree to hrs
       dmltm = 24./float(lonmx)
       do i=1,lonp1
@@ -1171,11 +1171,11 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
 !    |    DIM(1,0),DJM(1,0),IMAXGP,IMAXMP,IMAXG,JMAXG+2,IMAXM,JMAXM)
 
        call mag2geo(tiepot(1,1),potg(1,0),im(1,0),jm(1,0),
-     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2,nmlon,nmlat)
+     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2)
        call mag2geo(tieekv(1,1),ekvg(1,0),im(1,0),jm(1,0),
-     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2,nmlon,nmlat)
+     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2)
        call mag2geo(tieefx(1,1),efxg(1,0),im(1,0),jm(1,0),
-     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2,nmlon,nmlat)
+     |    dim(1,0),djm(1,0),nlonp1,nmlonp1,nlon,nlat+2)
 C     ****
 C     ****     INSERT PERIODIC POINTS
 C     ****
@@ -1188,29 +1188,22 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
 ! temp - save the AMIE output in geographic grid
       amie_debug = 1
       if (amie_debug > 0) then
-!     do j=1,nmlat
-!       do i=1,nmlonp1
-!         tiepot_sech(i,:) = tiepot(i,j)
-!       enddo
-!       call addfld('TIEPOT',' ',' ',tiepot_sech(:,1:nlevp1),
-!    |    'mlon',1,nmlonp1,'mlev',1,nlevp1,j)
-!     enddo
 ! tiepot(nmlonp1,nmlat)
 !       call addfsech_ij('TIEPOT',' ',' ',tiepot,1,nmlonp1,1,nmlat)
 !       call addfsech_ij('TIEEKV',' ',' ',tieekv,1,nmlonp1,1,nmlat)
 !       call addfsech_ij('TIEEFX',' ',' ',tieefx,1,nmlonp1,1,nmlat)
 
-        call addfld('TIEPOT','AMIE Potential','V',tiepot,'mlon',1,
-     |    nmlonp1,'mlat',1,nmlat,0)
-        call addfld('TIEEKV','AMIE Mean Energy','keV',tieekv,'mlon',1,
-     |    nmlonp1,'mlat',1,nmlat,0)
-        call addfld('TIEEFX','AMIE Energy Flux','mW/m2',tieefx,'mlon',
-     |    1,nmlonp1,'mlat',1,nmlat,0)
+        call addfld('TIEPOT',' ',' ',tiepot(mlon0:mlon1,mlat0:mlat1),
+     |    'mlon',mlon0,mlon1,'mlat',mlat0,mlat1,0)
+        call addfld('TIEEKV',' ',' ',tieekv(mlon0:mlon1,mlat0:mlat1),
+     |    'mlon',mlon0,mlon1,'mlat',mlat0,mlat1,0)
+        call addfld('TIEEFX',' ',' ',tieefx(mlon0:mlon1,mlat0:mlat1),
+     |    'mlon',mlon0,mlon1,'mlat',mlat0,mlat1,0)
 
         do i=1,nlon
-          potg_sech(i+2,:) = potg(i,1:nlat)
-          ekvg_sech(i+2,:) = ekvg(i,1:nlat)
-          efxg_sech(i+2,:) = efxg(i,1:nlat)
+          potg_sech(i+2,:) = potg(i,lat0:lat1)
+          ekvg_sech(i+2,:) = ekvg(i,lat0:lat1)
+          efxg_sech(i+2,:) = efxg(i,lat0:lat1)
         enddo
         do i=1,2
           potg_sech(i,:) = potg_sech(nlon+i,:)
@@ -1224,18 +1217,33 @@ subroutine getamie(iyear,iday,iutsec,amie_ibkg,iprint)
 !       call addfsech_ij('EKVG',' ',' ',ekvg_sech,1,nlonp4,1,nlat)
 !       call addfsech_ij('EFXG',' ',' ',efxg_sech,1,nlonp4,1,nlat)
 
-        call addfld('POTG','AMIE Potential','V',potg_sech,'lon',1,
-     |    nlonp4,'lat',1,nlat,0)
-        call addfld('EKVG','AMIE mean Eneregy','keV',ekvg_sech,
-     |    'lon',1,nlonp4,'lat',1,nlat,0)
-        call addfld('EFXG','AMIE Energy Flux','mW/m2',efxg_sech,
-     |    'lon',1,nlonp4,'lat',1,nlat,0)
+        call addfld('POTG',' ',' ',potg_sech(lon0:lon1,:),
+     |    'lon',lon0,lon1,'lat',lat0,lat1,0)
+        call addfld('EKVG',' ',' ',ekvg_sech(lon0:lon1,:),
+     |    'lon',lon0,lon1,'lat',lat0,lat1,0)
+        call addfld('EFXG',' ',' ',efxg_sech(lon0:lon1,:),
+     |    'lon',lon0,lon1,'lat',lat0,lat1,0)
       endif
 !      
       if (iprint > 0) then
         write(6,"('getamie: AMIE data interpolated to date and time')")
         write(6,"(72('-'),/)")
       endif
+
+! Sheng, 2017/07, Find auroral boundaries from AMIE energy flux
+! Similar to find auroral boundaries in import_mage
+      aurbound = 15.
+      do i=1,nlon
+        do j=nlat/2,1,-1
+          if (efxg(i,j) >= ab_efx) exit
+        enddo
+        if (j >= 1) aurbound(1,i) = max(rlatm(i+2,j),15.)
+        do j=nlat/2,nlat
+          if (efxg(i,j) >= ab_efx) exit
+        enddo
+        if (j <= nlat) aurbound(2,i) = max(rlatm(i+2,j),15.)
+      enddo
+
       end subroutine getamie    
 !-------------------------------------------------------------------
       subroutine boxcar_ave(x,y,lon,lat,mtime,itime,ibox)
@@ -1267,11 +1275,10 @@ subroutine boxcar_ave(x,y,lon,lat,mtime,itime,ibox)
 !
       end subroutine boxcar_ave
 !-----------------------------------------------------------------------
-      subroutine mag2geo(am,ag,im,jm,dim,djm,lg,lm,nlong,nlatg,nlonm,
-     |  nlatm)
+      subroutine mag2geo(am,ag,im,jm,dim,djm,lg,lm,nlong,nlatg)
 !
 ! Args:
-      integer,intent(in) :: lg,lm,nlong,nlatg,nlonm,nlatm
+      integer,intent(in) :: lg,lm,nlong,nlatg
       integer,intent(in) :: im(lg,*),jm(lg,*)
       real,intent(in) :: am(lm,*),dim(lg,*),djm(lg,*)
       real,intent(out) :: ag(lg,*)
diff --git a/src/amieoutput.F b/src/amieoutput.F
index c400274..e154d59 100644
--- a/src/amieoutput.F
+++ b/src/amieoutput.F
@@ -1,182 +1,125 @@
-#include "defs.h"
       subroutine amieoutput
-      use params_module,only: nlonp1,nlonp4,nlevp1,nlatp1,nlat,nlev,nlon
-      use fields_module,only: ped,hall
+      use params_module,only: nlevp1,nlat
       use dyndiag_module,only: 
      |  qwind_sec,qamie_sec,work_sec,wtot_sec,fwindu_sec,
-     |  fwindv_sec,famieu_sec,famiev_sec,famie_sec,fwind_sec,
-     |  ftot_sec,tec_sec,ped_sec,hall_sec,qjoule_sec
-      use cons_module,only: pi, dlamda, dphi, sn
+     |  fwindv_sec,famieu_sec,famiev_sec,
+     |  tec_sec,ped_sec,hall_sec,qjoule_sec
+      use cons_module,only: dlamda, dphi, sn
       use magfield_module,only: dipmag
       use addfld_module,only: addfld
+      use mpi_module,only: lon0,lon1,lat0,lat1
 
       implicit none
-
-      real, dimension(nlonp4,nlat) ::
-     |  sigp,    ! height integrated pedersen conductivity
-     |  sigh,    ! height integrated hall conductivity
-     |  qwind,   ! joule heating associated with neutral winds
-     |  qamie,   ! joule heating from amie
-     |  wtot,    ! total electromagnetic power
-     |  work,    ! mechanical work
-     |  fwindu,fwindv, ! horizontal current
-     |  famieu,famiev, ! horizontal current from amie
-     |  tec      ! total electron content
 !
 ! Local:
-      integer :: j1,i,j,k,lonm,lonp
+      integer :: i,j,k,lonm,lonp
       real :: re
-      real, dimension(nlonp4,nlat,nlevp1) :: qjh_tot_sec
+      real, dimension(lon0:lon1,lat0:lat1,nlevp1) ::
+     |  qjh_tot_sec,famie_sec,fwind_sec,ftot_sec
 !
 !CCCCCCCCCCCCCCC calculate the field-aligned currents CCCCCCCCCCCCCCCCCC
-        re = 6.481e+6
+      re = 6.481e+6
 
-       fwind_sec(:,:,:) = 0.
-       famie_sec(:,:,:) = 0.
-!      write(6,"('DIPMAG(23,:) = ',/,(6f12.2))")dipmag(23,:) 
-       do j = 2, nlat-1
-         j1 = nlat+1-j
-          do i=3, nlon+2
-!          if (abs(sin(dipmag(i,j))) .gt. 0.25) then
-           if (abs(dipmag(i,j)) .gt. 0.55) then
-             lonm = i -1
-             if (lonm .eq. 2) lonm = nlon+2
-             lonp = i + 1
-             if (lonp .eq. nlon+3) lonp = 3
-C *** calculate height-profiles of field-aligned currents ***
-              do k=1,nlevp1
+      fwind_sec = 0.
+      famie_sec = 0.
+!     write(6,"('DIPMAG(23,:) = ',/,(6f12.2))")dipmag(23,:) 
+      do j = lat0,lat1
+        if (j/=1 .and. j/=nlat) then
+          do i = lon0,lon1
+!           if (abs(sin(dipmag(i,j))) > 0.25) then
+            if (abs(dipmag(i,j)) > 0.55) then
+              lonm = i-1
+              lonp = i+1
+! *** calculate height-profiles of field-aligned currents ***
+              do k = 1,nlevp1
                 fwind_sec(i,j,k) =
-     |          ((fwindu_sec(lonp,j,k)-fwindu_sec(lonm,j,k))/
-     |          dlamda + (sn(j+1)*fwindv_sec(i,j+1,k)-sn(j-1)*
-     |          fwindv_sec(i,j-1,k))/dphi) / (2.*re*sn(j)) /
-     |          (-sin(dipmag(i,j)))
+     |            ((fwindu_sec(lonp,j,k)-fwindu_sec(lonm,j,k))/dlamda+
+     |            (sn(j+1)*fwindv_sec(i,j+1,k)-
+     |            sn(j-1)*fwindv_sec(i,j-1,k))/dphi)/
+     |            (2.*re*sn(j))/(-sin(dipmag(i,j)))
                 famie_sec(i,j,k) =
-     |          ((famieu_sec(lonp,j,k)-famieu_sec(lonm,j,k))/
-     |          dlamda + (sn(j+1)*famiev_sec(i,j+1,k)-sn(j-1)*
-     |          famiev_sec(i,j-1,k))/dphi) / (2.*re*sn(j)) /
-     |          (-sin(dipmag(i,j)))
+     |            ((famieu_sec(lonp,j,k)-famieu_sec(lonm,j,k))/dlamda+
+     |            (sn(j+1)*famiev_sec(i,j+1,k)-
+     |            sn(j-1)*famiev_sec(i,j-1,k))/dphi)/
+     |            (2.*re*sn(j))/(-sin(dipmag(i,j)))
 !  Total field-aligned currents
                 ftot_sec(i,j,k) = famie_sec(i,j,k)+fwind_sec(i,j,k)
               enddo
-C *** end of calculate height-profiles of field-aligned currents ***
+! *** end of calculate height-profiles of field-aligned currents ***
             endif
-
           enddo
+        endif
+      enddo
 
-       enddo
+      if (lat0 == 1) then
+        do i = lon0,lon1
+          do k = 1,nlevp1
+            fwind_sec(i,1,k) =
+     |        (fwind_sec(i,2,k)-fwind_sec(i,1,k))/re/dphi
+            famie_sec(i,1,k) =
+     |        (famie_sec(i,2,k)-famie_sec(i,1,k))/re/dphi
+            ftot_sec(i,1,k) = fwind_sec(i,1,k)+famie_sec(i,1,k)
+          enddo
+        enddo
+      endif
 
-          do k=1,nlevp1
-           fwind_sec(:,1,k)=(fwind_sec(:,2,k)-fwind_sec(:,1,k))/re/dphi
-           fwind_sec(:,nlat,k) = (fwind_sec(:,nlat,k)-
-     +           fwind_sec(:,nlat-1,k))/re/dphi
-           famie_sec(:,1,k)=(famie_sec(:,2,k)-famie_sec(:,1,k))/re/dphi
-           famie_sec(:,nlat,k) = (famie_sec(:,nlat,k)-
-     +           famie_sec(:,nlat-1,k))/re/dphi
-           ftot_sec(:,1,k) = fwind_sec(:,1,k)+famie_sec(:,1,k)
-           ftot_sec(:,nlat,k)=fwind_sec(:,nlat,k)+famie_sec(:,nlat,k)
+      if (lat1 == nlat) then
+        do i = lon0,lon1
+          do k = 1,nlevp1
+            fwind_sec(i,nlat,k) =
+     |        (fwind_sec(i,nlat,k)-fwind_sec(i,nlat-1,k))/re/dphi
+            famie_sec(i,nlat,k) =
+     |        (famie_sec(i,nlat,k)-famie_sec(i,nlat-1,k))/re/dphi
+            ftot_sec(i,nlat,k) = fwind_sec(i,nlat,k)+famie_sec(i,nlat,k)
           enddo
-CCCCCCCCCCCCCCCCCCC end of FAC calculation CCCCCCCCCCCCCCCCCCCCC
-C
-CCCCCCCCCCCCCCCCCCC save secondary histories CCCCCCCCCCCCCCCCCCCCC
+        enddo
+      endif
+!CCCCCCCCCCCCCCCCCC end of FAC calculation CCCCCCCCCCCCCCCCCCCCC
+!
+!CCCCCCCCCCCCCCCCCC save secondary histories CCCCCCCCCCCCCCCCCCCCC
 !
 ! Add sigmas to secondary histories:
 ! ZIMXP = 76, ZIMXP1 = 72+1 = 73, ZKMX = 28, ZKMXP = ZKMX+1 = 29
 ! From dynamo.h: SIGMA1(ZIMXP1,ZJMX,ZKMX),SIGMA2(ZIMXP1,ZJMX,ZKMX)
 !
-      do j = 1, nlat
-        ped_sec(1,j,:) = ped_sec(nlon+1,j,:) ! 73 <- 1
-        ped_sec(2,j,:) = ped_sec(nlon+2,j,:) ! 74 <- 2
-        ped_sec(nlonp1+2,j,:) = ped_sec(3,j,:) ! 75 <- 3
-        ped_sec(nlonp1+3,j,:) = ped_sec(4,j,:) ! 76 <- 4
-        call addfld('PEDERSEN',' ',' ',ped_sec(:,j,:),
-     |    'lon',1,nlonp4,'lev',1,nlevp1,j)
-        hall_sec(1,j,:) = hall_sec(nlon+1,j,:) ! 73 <- 1
-        hall_sec(2,j,:) = hall_sec(nlon+2,j,:) ! 74 <- 2
-        hall_sec(nlonp1+2,j,:) = hall_sec(3,j,:) ! 75 <- 3
-        hall_sec(nlonp1+3,j,:) = hall_sec(4,j,:) ! 76 <- 4
-        call addfld('HALL',' ',' ',hall_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        qwind_sec(1,j,:) = qwind_sec(nlon+1,j,:) ! 73 <- 1
-        qwind_sec(2,j,:) = qwind_sec(nlon+2,j,:) ! 74 <- 2
-        qwind_sec(nlonp1+2,j,:) = qwind_sec(3,j,:) ! 75 <- 3
-        qwind_sec(nlonp1+3,j,:) = qwind_sec(4,j,:) ! 76 <- 4
-        call addfld('QWIND',' ',' ',qwind_sec(:,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        qamie_sec(1,j,:) = qamie_sec(nlon+1,j,:) ! 73 <- 1
-        qamie_sec(2,j,:) = qamie_sec(nlon+2,j,:) ! 74 <- 2
-        qamie_sec(nlonp1+2,j,:) = qamie_sec(3,j,:) ! 75 <- 3
-        qamie_sec(nlonp1+3,j,:) = qamie_sec(4,j,:) ! 76 <- 4
-        call addfld('QAMIE',' ',' ',qamie_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        fwind_sec(1,j,:) = fwind_sec(nlon+1,j,:) ! 73 <- 1
-        fwind_sec(2,j,:) = fwind_sec(nlon+2,j,:) ! 74 <- 2
-        fwind_sec(nlonp1+2,j,:) = fwind_sec(3,j,:) ! 75 <- 3
-        fwind_sec(nlonp1+3,j,:) = fwind_sec(4,j,:) ! 76 <- 4
-        call addfld('FWIND',' ',' ',fwind_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        famie_sec(1,j,:) = famie_sec(nlon+1,j,:) ! 73 <- 1
-        famie_sec(2,j,:) = famie_sec(nlon+2,j,:) ! 74 <- 2
-        famie_sec(nlonp1+2,j,:) = famie_sec(3,j,:) ! 75 <- 3
-        famie_sec(nlonp1+3,j,:) = famie_sec(4,j,:) ! 76 <- 4
-        call addfld('FAMIE',' ',' ',famie_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        work_sec(1,j,:) = work_sec(nlon+1,j,:) ! 73 <- 1
-        work_sec(2,j,:) = work_sec(nlon+2,j,:) ! 74 <- 2
-        work_sec(nlonp1+2,j,:) = work_sec(3,j,:) ! 75 <- 3
-        work_sec(nlonp1+3,j,:) = work_sec(4,j,:) ! 76 <- 4
-        call addfld('WORK',' ',' ',work_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        wtot_sec(1,j,:) = wtot_sec(nlon+1,j,:) ! 73 <- 1
-        wtot_sec(2,j,:) = wtot_sec(nlon+2,j,:) ! 74 <- 2
-        wtot_sec(nlonp1+2,j,:) = wtot_sec(3,j,:) ! 75 <- 3
-        wtot_sec(nlonp1+3,j,:) = wtot_sec(4,j,:) ! 76 <- 4
-        call addfld('WTOT',' ',' ',wtot_sec(:,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-        tec_sec(1,j,:) = tec_sec(nlon+1,j,:) ! 73 <- 1
-        tec_sec(2,j,:) = tec_sec(nlon+2,j,:) ! 74 <- 2
-        tec_sec(nlonp1+2,j,:) = tec_sec(3,j,:) ! 75 <- 3
-        tec_sec(nlonp1+3,j,:) = tec_sec(4,j,:) ! 76 <- 4
-        call addfld('DEN_TEC',' ',' ',tec_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-
-        qjoule_sec(1,j,:) = qjoule_sec(nlon+1,j,:) ! 73 <- 1
-        qjoule_sec(2,j,:) = qjoule_sec(nlon+2,j,:) ! 74 <- 2
-        qjoule_sec(nlonp1+2,j,:) = qjoule_sec(3,j,:) ! 75 <- 3
-        qjoule_sec(nlonp1+3,j,:) = qjoule_sec(4,j,:) ! 76 <- 4
-        call addfld('QJOULE_AMIE',' ',' ',qjoule_sec(1:nlonp4,j,:),
-     |             'lon',1,nlonp4,'lev',1,nlevp1,j)
-
-        qjh_tot_sec(:,:,:) = qamie_sec(:,:,:) + qwind_sec(:,:,:)
-        call addfld('QJH_TOT',' ',' ',
-     |     qjh_tot_sec(1:nlonp4,j,:),'lon',1,nlonp4,'lev',1,nlevp1-1,j)
+      qjh_tot_sec = qamie_sec(lon0:lon1,lat0:lat1,:)
+     |  + qwind_sec(lon0:lon1,lat0:lat1,:)
+      do j = lat0,lat1
+        call addfld('PEDERSEN',' ',' ',ped_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('HALL',' ',' ',hall_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('QWIND',' ',' ',qwind_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('QAMIE',' ',' ',qamie_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('FWIND',' ',' ',fwind_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('FAMIE',' ',' ',famie_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('WORK',' ',' ',work_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('WTOT',' ',' ',wtot_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('DEN_TEC',' ',' ',tec_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('QJOULE',' ',' ',qjoule_sec(lon0:lon1,j,:),
+     |     'lon',lon0,lon1,'lev',1,nlevp1,j)
+        call addfld('QJH_TOT',' ',' ',qjh_tot_sec(lon0:lon1,j,:),
+     |    'lon',lon0,lon1,'lev',1,nlevp1,j)
       enddo
 
 !CCCCCCCCCCCCCCCCCC end of save secondary histories CCCCCCCCCCCCCCCCCCCCC
       end subroutine amieoutput
 !----------------------------------------------------
-      subroutine prep_output(lev0,lev1,lon0,lon1,lat0,lat1)
-!
-! Prepare geographic-grid fields for input to the dynamo, and gather them
-! to the root task. This is executed by all tasks, and is called from
-! advance before the dynamo itself (which is executed by master task only).
-!
-      use cons_module,only: gask,grav
-#ifdef MPI
-      use dyndiag_module,only: mp_dyndiag_gather
-#endif
+      subroutine prep_output
 !
-! Args:  
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
+! Prepare geographic-grid fields for input to the dynamo.
+! This is executed by all tasks,
+! and is called from advance before the dynamo itself.
 !
-! Local:
-      real :: fmin,fmax
-!
-#ifdef MPI
+      use dyndiag_module,only: dyndiag_bndlatlon
 !
-! Gather dynamo input fields to the root task, defining module data
-! above at the global domain on the root task:
+      call dyndiag_bndlatlon
 !
-      call mp_dyndiag_gather
-#endif
       end subroutine prep_output
-
diff --git a/src/apex.F90 b/src/apex.F90
index 964da3d..e78429a 100644
--- a/src/apex.F90
+++ b/src/apex.F90
@@ -209,7 +209,7 @@ subroutine apex_mka(date,gplat,gplon,gpalt,nlat,nlon,nalt,ier)
   integer :: i,j,k,kpol,istat
   real :: reqore,rqorm1,cp,ct,st,sp,stmcpm,stmspm,ctm
   real :: aht,alat,phia,bmag,xmag,ymag,zdown,vmp ! apex_sub output
-  real :: vnor,rp,reqam1,a,slp,clp,phiar
+  real :: vnor,rp,reqam1,slp,clp,phiar
 !
 ! Some parts of the legacy apex code use constants to set dtr,rtd,
 ! other parts use rtd=45./atan(1.), dtr=1./rtd. Differences are
@@ -441,20 +441,16 @@ subroutine apex_mall(glat,glon,alt,hr, b,bhat,bmag,si,alon,xlatm,vmp,w,&
 
 end subroutine apex_mall
 !-----------------------------------------------------------------------
-subroutine apex_q2g(qdlat_in,qdlon,alt,gdlat,gdlon,ier)
+subroutine apex_q2g(qdlat,qdlon,alt,gdlat,gdlon,ier)
 !
 ! Convert from quasi-dipole to geodetic coordinates. This subroutine
 ! (input magnetic, output geodetic) is the functional inverse of 
 ! subroutine apex_mall (input geodetic, output magnetic). Sub apex_mka
 ! must be called before this routine.
 !
-! 20160811 ADR If qdlat_inis +/-90, move it a little off the pole so that
-!  when gdlat,gdlon are used in apex_mall the directions of the base vectors
-!  are varying appropriately with longitude
-!
 ! Args:
   real,intent(in) ::  & ! inputs
-    qdlat_in,            & ! quasi-dipole latitude (deg)
+    qdlat,            & ! quasi-dipole latitude (deg)
     qdlon,            & ! quasi-dipole longitude (deg)
     alt                 ! altitude (km)
 
@@ -466,7 +462,7 @@ subroutine apex_q2g(qdlat_in,qdlon,alt,gdlat,gdlon,ier)
 ! Local:
   real :: x0,y0,z0,xnorm,xdif,ydif,zdif,dist2,hgrd2e,hgrd2n,hgrd2,&
     angdist,distlon,glatx,cal,sal,coslm,slm,cad,sad,slp,clm2,slm2,&
-    sad2,cal2,clp2,clp,dylon,qdlat
+    sad2,cal2,clp2,clp,dylon
   real :: ylat,ylon ! first guess output by gm2gc, input to intrp
   integer :: iter
   integer,parameter :: niter=20
@@ -481,10 +477,7 @@ subroutine apex_q2g(qdlat_in,qdlon,alt,gdlat,gdlon,ier)
     dmxdh,dmydh,dmzdh,dmvdh
   real :: cth,sth  ! output of adpl
   character(len=5) :: edge
-  
-  qdlat = amax1(qdlat_in,-90.+sqrt(precise)*rtd)
-  qdlat = amin1(qdlat   ,-90.-sqrt(precise)*rtd)
-!
+
   ier = 0 ; gdlat = 0. ; gdlon = 0.
 !
 ! Determine quasi-cartesian coordinates on a unit sphere of the
@@ -964,7 +957,7 @@ subroutine linapx(gdlat,glon,alt,aht,alat,alon,xmag,ymag,zmag,fmag)
 ! coordinates of the starting point
 !
   iflag = 2 ! gclat,r are returned
-  call convrt(iflag,gdlat,alt,gclat,r,'linapx')
+  call convrt(iflag,gdlat,alt,gclat,r)
 
   singml = ctp*sin(gclat*dtr) + stp*cos(gclat*dtr)*cos((glon-elon)*dtr)
   cgml2 = max(0.25,1.-singml*singml)
@@ -998,7 +991,7 @@ subroutine linapx(gdlat,glon,alt,aht,alat,alon,xmag,ymag,zmag,fmag)
   if (nstp >= maxs) then
     rho = sqrt(y(1)*y(1) + y(2)*y(2))
     iflag = 3 ! xlat and ht are returned
-    call convrt(iflag,xlat,ht,rho,y(3),'linapx')
+    call convrt(iflag,xlat,ht,rho,y(3))
     xlon = rtd*atan2(y(2),y(1))
     iflag = 1
     call feldg(iflag,xlat,xlon,ht,bnrth,beast,bdown,babs)
@@ -1018,7 +1011,7 @@ subroutine linapx(gdlat,glon,alt,aht,alat,alon,xmag,ymag,zmag,fmag)
 
 end subroutine linapx
 !-----------------------------------------------------------------------
-subroutine convrt(iflag,gdlat,alt,x1,x2,caller)
+subroutine convrt(iflag,gdlat,alt,x1,x2)
 !
 ! Convert space point from geodetic to geocentric or vice versa.
 !
@@ -1050,7 +1043,6 @@ subroutine convrt(iflag,gdlat,alt,x1,x2,caller)
   integer,intent(in) :: iflag
   real,intent(inout) :: gdlat,alt
   real,intent(inout) :: x1,x2
-  character(len=*),intent(in) :: caller
 !
 ! Local:
   real :: sinlat,coslat,d,z,rho,rkm,scl,gclat,ri,a2,a4,a6,a8,&
@@ -1143,7 +1135,7 @@ subroutine gd2cart(gdlat,glon,alt,x,y,z)
   integer :: iflag
 
   iflag = 1 ! Convert from geodetic to cylindrical (rho,z are output)
-  call convrt(iflag,gdlat,alt,rho,z,'gd2cart')
+  call convrt(iflag,gdlat,alt,rho,z)
 
   ang = glon*dtr
   x = rho*cos(ang)
@@ -1506,7 +1498,7 @@ subroutine fndapx(alt,zmag,a,alat,alon)
   iflag_convrt = 3
   do i=1,3
     rho = sqrt(yapx(1,i)**2+yapx(2,i)**2)
-    call convrt(iflag_convrt,gdlt,ht(i),rho,yapx(3,i),'fndapx')
+    call convrt(iflag_convrt,gdlt,ht(i),rho,yapx(3,i))
     gdln = rtd*atan2(yapx(2,i),yapx(1,i))
     call feldg(iflag_feldg,gdlt,gdln,ht(i),x,ydum,z(i),f)
   enddo 
@@ -1584,7 +1576,7 @@ subroutine gm2gc(gmlat,gmlon,gclat,gclon)
   real,intent(out) :: gclat,gclon
 !
 ! Local:
-  real :: ylat,ylon,stm,ctm,ctc
+  real :: stm,ctm,ctc
 
   stm = cos(gmlat*dtr)
   ctm = sin(gmlat*dtr)
@@ -1683,22 +1675,22 @@ subroutine intrp(glat,glon,alt, gplat,gplon,gpalt, nlat,nlon,nalt, &
     return 
   endif
 
-  call trilin(xarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,fx,dfxdn,dfxde,dfxdd)
+  call trilin(xarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,fx,dfxdn,dfxde,dfxdd)
   dfxdth = -dfxdn*rtd/dlat
   dfxdln =  dfxde*rtd/dlon
   dfxdh  = -hti*hti*dfxdd/(re*diht)
 
-  call trilin(yarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,fy,dfydn,dfyde,dfydd)
+  call trilin(yarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,fy,dfydn,dfyde,dfydd)
   dfydth = -dfydn*rtd/dlat
   dfydln =  dfyde*rtd/dlon
   dfydh  = -hti*hti*dfydd/(re*diht)
 
-  call trilin(zarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,fz,dfzdn,dfzde,dfzdd)
+  call trilin(zarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,fz,dfzdn,dfzde,dfzdd)
   dfzdth = -dfzdn*rtd/dlat
   dfzdln =  dfzde*rtd/dlon
   dfzdh  = -hti*hti*dfzdd/(re*diht)
 
-  call trilin(varray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,fv,dfvdn,dfvde,dfvdd)
+  call trilin(varray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,fv,dfvdn,dfvde,dfvdd)
   dfvdth = -dfvdn*rtd/dlat
   dfvdln =  dfvde*rtd/dlon
   dfvdh  = -hti*hti*dfvdd/(re*diht)
@@ -1712,11 +1704,11 @@ subroutine intrp(glat,glon,alt, gplat,gplon,gpalt, nlat,nlon,nalt, &
     omfac = 1. - fac
     xi = xi - 1.
     i0 = i0 + 1
-    call trilin (xarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (xarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfxdln = dfxdln*omfac + fac*dmdfde*rtd/dlon
-    call trilin (yarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (yarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfydln = dfydln*omfac + fac*dmdfde*rtd/dlon
-    call trilin (varray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (varray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfvdln = dfvdln*omfac + fac*dmdfde*rtd/dlon
   endif
 
@@ -1725,22 +1717,19 @@ subroutine intrp(glat,glon,alt, gplat,gplon,gpalt, nlat,nlon,nalt, &
     omfac = 1. - fac
     xi = xi + 1.
     i0 = i0 - 1
-    call trilin (xarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (xarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfxdln = dfxdln*omfac + fac*dmdfde*rtd/dlon
-    call trilin (yarray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (yarray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfydln = dfydln*omfac + fac*dmdfde*rtd/dlon
-    call trilin (varray(i0:i0+1,j0:j0+1,k0:k0+1),nlat,nlon,xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
+    call trilin (varray(i0:i0+1,j0:j0+1,k0:k0+1),xi,yj,zk,dmf,dmdfdn,dmdfde,dmdfdd)
     dfvdln = dfvdln*omfac + fac*dmdfde*rtd/dlon
   endif
 
 end subroutine intrp
 !-----------------------------------------------------------------------
-subroutine trilin(u,nlat,nlon,xi,yj,zk,fu,dfudx,dfudy,dfudz)
+subroutine trilin(u,xi,yj,zk,fu,dfudx,dfudy,dfudz)
 !
 ! Args:
-  integer,intent(in) :: &
-    nlat,               & ! first dimension of u from calling routine
-    nlon                  ! second dimension of u from calling routine
   real,intent(in)    :: &
     u(1:2,1:2,1:2),     & ! u(1,1,1) is address of lower corner of interpolation box
     xi,  & ! fractional distance across box in x direction
diff --git a/src/aurora.F b/src/aurora.F
index d3c7f54..cf3c79a 100644
--- a/src/aurora.F
+++ b/src/aurora.F
@@ -56,7 +56,6 @@ module aurora_module
 ! 1/24/08 btf:Changed alfad,ed, alfac,ec as per Wenbin.
 !
       use cons_module,only: ! see cons.F
-     |  dphi, ! delta latitude geographic (radians)
      |  dtr,  ! degrees to radians (pi/180)
      |  pi,    ! 4.*atan(1.)
      |  crit  ! may be changed from default if amie run
@@ -183,7 +182,8 @@ module aurora_module
      |  colat(nlon),    ! auroral magnetic co-latitude from offset center (radians)
      |  sinlat(nlon), coslat(nlon),     ! sin,cos of dlat_aur (rlatm) magnetic latitude
      |  coslon(nlon), sinlon(nlon),     ! sin,cos of dlon_aur+offset
-     |  alon(nlon)                      ! auroral magnetic longitude where 0=noon shifted by -offset (radians)
+     |  alon(nlon),                     ! auroral magnetic longitude where 0=noon shifted by -offset (radians)
+     |  aurbound(nlon)                  ! equatorward auroral boundary for SAPS calculation
 !
 ! Local-time dependent energy and particle fluxes:
 ! (see subs aurora_heat and aurora_cusp)
@@ -193,27 +193,19 @@ module aurora_module
      |  drizl(nlonp4),cusp(nlonp4),                 ! polar drizzle and cusp
      |  qteaur(nlonp4,nlat),                        ! for electron temperature
      |  eflux(nlonp4),eflux2(nlonp4),eflux3(nlonp4) ! energy flux
-
-! 11/08 EMERY added energy flux eflux and eflux2d
-      real :: cusp2d(nlonp4,nlat),drzl2d(nlonp4,nlat),
-     |        alfa2d(nlonp4,nlat),nflx2d(nlonp4,nlat),
-     |        eflux2d(nlonp4,nlat)
 !
 ! aureff = vertical profile for auroral heating efficiency (used by qjion)
 ! 
-      real :: aureff(nlevp1)
-      real :: bdriz(nlevp1)   ! vertical profile for background drizzle
+!     real :: aureff(nlevp1)
+!     real :: bdriz(nlevp1)   ! vertical profile for background drizzle
 !
 ! Subroutines internal to aurora module.
       contains
 !-----------------------------------------------------------------------
-#include <defs.h>
-      subroutine aurora_cons(iprint,iyear,iday,secs)
+      subroutine aurora_cons(iprint)
 !
 ! Set auroral constants (called from sub advance once per time-step).
 !
-      use params_module,only: dz,nlev
-      use hist_module,only:   modeltime
       use input_module,only:  ! from user input
      |  byimf,   ! BY component of IMF (nT)      (e.g., 0.)
      |  ctpoten, ! cross-cap potential (kV)      (e.g., 45.)
@@ -222,8 +214,7 @@ subroutine aurora_cons(iprint,iyear,iday,secs)
      |  potential_model  ! electric potential model used
 !
 ! Args:
-      integer,intent(in) :: iprint,iday,iyear
-      real,intent(in) :: secs
+      integer,intent(in) :: iprint
 !
 ! Local:
       real,parameter :: convert=3.1211e+8
@@ -235,50 +226,20 @@ subroutine aurora_cons(iprint,iyear,iday,secs)
       real,parameter :: e=1.e-10
 !
 ! Auroral heating efficiency (nlevp1) according to vertical resolution 
-! (NLEV==28, dz==.5, or NLEV==56, dz==.25)
+! The dimension length (29) is hard-coded
+! in case the model's upper bounday is extended above 7
+! extrapolation is allowed, see xfac/ar_glbm for details
 !
-#if (NLEV==28)
-      aureff =
+      real,dimension(29),parameter ::
+     |  aureff_5 =
      |(/0.55,0.55,0.55,0.55,0.55,0.55,0.55,0.55,0.55,0.55,0.55,0.55,
      |  0.55,0.50,0.45,0.37,0.30,0.20,0.16,0.13,0.10,0.08,0.07,0.06,
-     |  0.05,0.05,0.05,0.05,0.05/)
-      bdriz =
+     |  0.05,0.05,0.05,0.05,0.05/),
+     |  bdriz_5 =
      |(/2.17E-4,4.48E-3,3.78E-2,1.55E-1,3.26E-1,3.85E-1,3.50E-1,2.81E-1,
      |  2.04E-1,1.38E-1,8.74E-2,5.23E-2,3.01E-2,1.68E-2,9.27E-3,5.08E-3,
      |  2.79E-3,1.55E-3,8.62E-4,4.85E-4,2.76E-4,1.58E-4,9.11E-5,5.28E-5,
      |  3.08E-5,1.79E-5,1.04E-5,6.01E-6,3.49E-6/)
-#elif (NLEV==56)
-        aureff =
-     |  (/0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00,
-     |    0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00,
-     |    0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00,
-     |    0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00,
-     |    0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00, 0.5500E+00,
-     |    0.5250E+00, 0.5000E+00, 0.4750E+00, 0.4500E+00, 0.4100E+00,
-     |    0.3700E+00, 0.3350E+00, 0.3000E+00, 0.2500E+00, 0.2000E+00,
-     |    0.1800E+00, 0.1600E+00, 0.1450E+00, 0.1300E+00, 0.1150E+00,
-     |    0.1000E+00, 0.9000E-01, 0.8000E-01, 0.7500E-01, 0.7000E-01,
-     |    0.6500E-01, 0.6000E-01, 0.5500E-01, 0.5000E-01, 0.5000E-01,
-     |    0.5000E-01, 0.5000E-01, 0.5000E-01, 0.5000E-01, 0.5000E-01,
-     |    0.5000E-01, 0.5000E-01/)
-        bdriz =
-     |  (/0.2170E-03, 0.2349E-02, 0.4480E-02, 0.2114E-01, 0.3780E-01,
-     |    0.9640E-01, 0.1550E+00, 0.2405E+00, 0.3260E+00, 0.3555E+00,
-     |    0.3850E+00, 0.3675E+00, 0.3500E+00, 0.3155E+00, 0.2810E+00,
-     |    0.2425E+00, 0.2040E+00, 0.1710E+00, 0.1380E+00, 0.1127E+00,
-     |    0.8740E-01, 0.6985E-01, 0.5230E-01, 0.4120E-01, 0.3010E-01,
-     |    0.2345E-01, 0.1680E-01, 0.1303E-01, 0.9270E-02, 0.7175E-02,
-     |    0.5080E-02, 0.3935E-02, 0.2790E-02, 0.2170E-02, 0.1550E-02,
-     |    0.1206E-02, 0.8620E-03, 0.6735E-03, 0.4850E-03, 0.3805E-03,
-     |    0.2760E-03, 0.2170E-03, 0.1580E-03, 0.1246E-03, 0.9110E-04,
-     |    0.7195E-04, 0.5280E-04, 0.4180E-04, 0.3080E-04, 0.2435E-04,
-     |    0.1790E-04, 0.1415E-04, 0.1040E-04, 0.8205E-05, 0.6010E-05,
-     |    0.4750E-05, 0.3490E-05/)
-#else
-        write(6,"('>>> aurora: unsupported NLEV=',i4,' dz=',f10.4)")
-     |    nlev,dz
-        call shutdown('aurora dz')
-#endif
 !
 ! Add limits to byimf if use the Heelis convection pattern,this is to have 
 ! asymmetric dawn and dusk convection cells and By effect. --Wenbin Wang 12/02/2008
@@ -320,11 +281,11 @@ subroutine aurora_cons(iprint,iyear,iday,secs)
       rh = (h2 - h1) / (h1 + h2)
 !
       theta0(isouth) = (-3.80+8.48*(ctpoten**0.1875))*dtr
-#if defined(INTERCOMM) || defined(CISMAH)
-! Set theta0 = 10 deg so crit(1,2)=15,30 (old values in cons.F) in colath.F for CISM
+!
+! Set theta0 = 10 deg so crit(1,2)=15,30 (old values in cons.F) in colath.F for MAGE
 ! This is commented as per coupled tiegcm1.94.2:
 !     theta0(isouth) = 10.*dtr
-#endif
+!
       theta0(inorth) = theta0(isouth)
       offa(isouth) = 1.0*dtr
       offa(inorth) = 1.0*dtr
@@ -437,7 +398,7 @@ subroutine aurora_cons(iprint,iyear,iday,secs)
         rroth = roth * dtr
         rrote = rote * dtr
 ! For Sep 10 (Day 253) 2005 storm interval
-        h2 = 4.5 + 0.11*hp_amie
+!       h2 = 4.5 + 0.11*hp_amie
 ! For October 2003 storm
 !       h2 = 4.5 + 0.15*hp_amie
 !       rradp(isouth) = crad(isouth)-1.5*dtr
@@ -487,22 +448,24 @@ subroutine aurora_cons(iprint,iyear,iday,secs)
       endif
       end subroutine aurora_cons
 !-----------------------------------------------------------------------
-      subroutine aurora(tn,o2,o1,n2,barm,lev0,lev1,lon0,lon1,lat)
+      subroutine aurora(tn,o2,o1,n2,barm,xnmbar,scht,
+     |  lev0,lev1,lon0,lon1,lat)
 !
 ! Auroral parameterization driver.
 ! (called by sub dynamics, from inside parallel latitude scan)
 !
       use magfield_module,only: 
      |  rlatm,rlonm, ! magnetic latitude,longitude grid (radians)
-     |  sunlons      ! sun's mag longitudes (see sub sunloc, magfield.F) 
-      use params_module,only: nlat,zibot,dz
-      use mpi_module,only: lat0,lat1
+     |  sunlons,     ! sun's mag longitudes (see sub sunloc, magfield.F) 
+     |  csdec,sndec
+      use params_module,only: nlonp2,spval
 !
-      use qrj_module,only:       ! for diag only
-     |  qo2p,  ! o2+ ionization
-     |  qop,   ! o+  ionization
-     |  qn2p,  ! n2+ ionization
-     |  qnp    ! n+  ionization
+! Add SAPS ion drifts to regular ion drifts from dynamo and convection pattern
+      use input_module,only: saps,kp
+      use gpi_module,only: fkp
+      use amie_module,only: amie_aurbound=>aurbound
+      use subaur_module,only: subaur_drift
+      use fields_module,only: ui,vi
 !
 ! Args:
       integer,intent(in) :: 
@@ -514,14 +477,20 @@ subroutine aurora(tn,o2,o1,n2,barm,lev0,lev1,lon0,lon1,lat)
      |  o2,    ! O2 mass mixing ratio
      |  o1,    ! O mass mixing ratio
      |  n2,    ! N2 mass mixing ratio (1-o2-o-he)
-     |  barm   ! mean molecular weight (see sub addiag)
+     |  barm,  ! mean molecular weight (see sub addiag)
+     |  xnmbar,! p0*e(-z)*mbar/kT
+     |  scht   ! scale height
 !
 ! Local:
       integer :: i,ier
       integer,parameter :: nlond2 = max(1,nlon/2)
       real :: aurlat  ! boundary lat below which auroral is not calculated
                       ! (32.5 degrees at 5 degree resolution)
-      real :: ofda,cosofa,sinofa,aslona
+      real :: ofda,cosofa,sinofa,aslona,skp,vns,ves,vvs
+      real,dimension(nlonp4) ::
+     |  smlt,  ! magnetic local time for SAPS calculation
+     |  smlat  ! latitude of the equatorward boundary of aurora
+      real, dimension(lon0:lon1) :: sui,svi,swi ! SAPS ion drifts
 !
 #ifdef VT
 !     code = 130 ; state = 'aurora' ; activity='ModelCode'
@@ -531,26 +500,9 @@ subroutine aurora(tn,o2,o1,n2,barm,lev0,lev1,lon0,lon1,lat)
 !     write(6,"('Enter aurora: lat=',i4,' glat=',f8.2,' lon0,1=',2i4)")
 !    |  lat,glat(lat),lon0,lon1
 !
-! Save ionization rates on entry to secondary history:
-!     call addfld('QO2P_PRE',' ',' ',qo2p(lev0:lev1,lon0:lon1,lat),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('QOP_PRE' ,' ',' ',qop(lev0:lev1,lon0:lon1,lat),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('QN2P_PRE',' ',' ',qn2p(lev0:lev1,lon0:lon1,lat),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!
-! Initialize diagnostics to insure they have values before the
-! below return when lat < 32.5.
-!
-      cusp2d(:,lat) = 0.
-      drzl2d(:,lat) = 0.
-      alfa2d(:,lat) = 0.
-      nflx2d(:,lat) = 0.
-      eflux2d(:,lat) = 0.
-!
 ! Check latitude, and return if below aurlat (32.5 deg at 5 deg res):
 !
-      aurlat = (float(lat-nlat)-0.5)*dphi+pi/2.
+      aurlat = glat(lat)*dtr
       do_aurora = .true.
       if (abs(aurlat) < pi/6.) do_aurora = .false.
       if (.not.do_aurora) then
@@ -592,34 +544,64 @@ subroutine aurora(tn,o2,o1,n2,barm,lev0,lev1,lon0,lon1,lat)
 !     write(6,"('aurora: lat=',i2,' alon =',/,(6e12.4))") lat,alon
 !
 ! Make cusp:
-      call aurora_cusp(lat)
+      call aurora_cusp
 !
 ! Make alfa, flux, and drizzle:
       call aurora_heat(lat)
 
-! Save aurora oval on exit to full arrays so can save later to secondary history
-      do i=lon0,lon1
-        cusp2d(i,lat)=cusp(i)
-        drzl2d(i,lat)=drizl(i)
-        alfa2d(i,lat)=alfa(i)
-        nflx2d(i,lat)=flux(i)
-        eflux2d(i,lat)=eflux(i)
+! Sheng, 2017/07, Calculate SAPS ion drifts
+      if (iamie == 0) then
+        smlt(3:nlonp2) = modulo(12.+alon/(dtr*h2deg),24.)
+        smlat(3:nlonp2) = (colat-aurbound)/dtr
+      else
+        smlt(3:nlonp2) = modulo(12.+dlon_aur/(dtr*h2deg),24.)
+        smlat(3:nlonp2) =
+     |    (abs(amie_aurbound(ihem,:))-abs(rlatm(3:nlonp2,lat)))/dtr
+      endif
+      do i=1,2 
+        smlt(i) = smlt(nlon+i)
+        smlt(nlonp2+i) = smlt(i+2)
+        smlat(i) = smlat(nlon+i)
+        smlat(nlonp2+i) = smlat(i+2)
       enddo
+      if (kp == spval) then
+        skp = fkp
+      else
+        skp = kp
+      endif
+      sui(lon0:lon1) = 0.
+      svi(lon0:lon1) = 0.
+      swi(lon0:lon1) = 0.
+      if (saps .and. skp>=1. .and. skp<=9) then
+        do i=lon0,lon1
+! TODO: Need some explanation of these numbers
+          if (smlat(i)>0. .and. smlat(i)<10.) then
+            call subaur_drift(smlat(i),smlt(i),skp,vns,ves,vvs)
+            if (ihem == 1) then ! southern hemisphere, ihem=1
+              sui(i) = -ves*csdec(i,lat) - vns*sndec(i,lat)
+              svi(i) = ves*sndec(i,lat) - vns*csdec(i,lat)
+            endif
+            if (ihem == 2) then ! northern hemisphere, ihem=2
+              sui(i) = -ves*csdec(i,lat) + vns*sndec(i,lat)
+              svi(i) = ves*sndec(i,lat) + vns*csdec(i,lat)
+            endif
+            swi(i) = vvs
+          endif
+! Add SAPS drift to ion velocities (m/s to cm/s)
+          ui(lev0:lev1,i,lat) = ui(lev0:lev1,i,lat)+sui(i)*100.
+          vi(lev0:lev1,i,lat) = vi(lev0:lev1,i,lat)+svi(i)*100.
+!         wi(lev0:lev1,i,lat) = wi(lev0:lev1,i,lat)+swi(i)*100.
+        enddo
+      endif
 !
 ! Auroral additions to ionization rates:
 ! Sub aurora_ions is a standalone subroutine, i.e., not in aurora_module.
 ! Pass module data to aurora_ions through argument list.
 !
-!     subroutine aurora_ions(drizl,cusp,alfa1,alfa2,flux1,flux2,
-!    |  tn,o2,o1,barm,zpbot,dzp,lev0,lev1,lon0,lon1,lat)
-!
-! 11/08 EMERY added eflux=flux*fac_p2e*alfa - (better for falfa1 if alfa quite variable)
-      call aurora_ions(fac_p2e,
-     |  drizl(lon0:lon1), cusp (lon0:lon1),
+      call aurora_ions(drizl(lon0:lon1), cusp (lon0:lon1),
      |  alfa (lon0:lon1), alfa2(lon0:lon1), alfa3(lon0:lon1),
-     |  eflux(lon0:lon1), eflux2(lon0:lon1), eflux3(lon0:lon1),
      |  flux (lon0:lon1), flux2(lon0:lon1), flux3(lon0:lon1),
-     |  tn,o2,o1,n2,barm,zibot,dz,lev0,lev1,lon0,lon1,lat)
+     |  tn,o2,o1,n2,barm,xnmbar,scht,lev0,lev1,lon0,lon1,lat)
 !
 #ifdef VT
 !     code = 130 ; state = 'aurora' ; activity='ModelCode'
@@ -628,15 +610,12 @@ subroutine aurora(tn,o2,o1,n2,barm,lev0,lev1,lon0,lon1,lat)
 
       end subroutine aurora
 !-----------------------------------------------------------------------
-      subroutine aurora_cusp(lat)
+      subroutine aurora_cusp
       use params_module,only: nlonp2
       use cons_module,only: check_exp
 !
 ! Calculate horizontal variation of polar cusp heating (was polht.F)
 !
-! Args:
-      integer,intent(in) :: lat
-!
 ! Local:
       integer :: i
       real,parameter :: 
@@ -656,9 +635,9 @@ subroutine aurora_cusp(lat)
      |                 exp(-(atan2(sin(alon(i)-phid(ihem)),
      |                             cos(alon(i)-phid(ihem)))/s20)**2)
 
-!         write(6,"('cusp: lat=',i3,' i=',i3,' ihem=',i2,' theta0=',
+!         write(6,"('cusp: i=',i3,' ihem=',i2,' theta0=',
 !    |      e12.4,' colat=',e12.4,' alon=',e12.4,' phid=',e12.4,
-!    |      ' cusp=',e12.4)") lat,i,ihem,theta0(ihem),colat(i),
+!    |      ' cusp=',e12.4)") i,ihem,theta0(ihem),colat(i),
 !    |      alon(i),phid(ihem),cusp(i+2)
 
         else
@@ -674,8 +653,7 @@ subroutine aurora_cusp(lat)
         cusp(i) = cusp(nlon+i)     ! 1:2 <- 73:74 at 5 deg res
         cusp(nlonp2+i) = cusp(i+2) ! 75:76 <- 3:4
       enddo
-!     write(6,"('aurora_cusp: lat=',i2,' cusp=',/,(6e12.4))") 
-!    |  lat,cusp
+!     write(6,"('aurora_cusp: cusp=',/,(6e12.4))") cusp
       end subroutine aurora_cusp 
 !-----------------------------------------------------------------------
       subroutine aurora_heat(lat)
@@ -683,9 +661,7 @@ subroutine aurora_heat(lat)
 ! Calculate alfa, flux, and drizzle.
 !
       use params_module,only: nlon,nlonp2
-#if defined(INTERCOMM) || defined(CISMAH)
-      use cism_coupling_module,only: geng,gflx     !CISM
-#endif
+      use mage_coupling_module,only: geng,gflx     !MAGE
 !
 ! Args:
       integer,intent(in) :: lat
@@ -741,6 +717,9 @@ subroutine aurora_heat(lat)
 !     write(6,"('aurora_heat: lat=',i3,' alfa=',/,(6e12.4))")
 !    |  lat,alfa
 !
+! Calculate equatorward boundary of aurora for SAPS calculation 
+      aurbound = rrad(ihem)+halfwidth
+!
 ! Flux, drizzle, alfa2, flux2:
       do i=1,nlon
 !
@@ -787,7 +766,6 @@ subroutine aurora_heat(lat)
           flux2(i+2) = e20*(1.-re2*coslamda(i))*
      |      exp(-((clat-rrad(ihem))/
      |      halfwidth(i))**2) / (2.*alfa2(i+2)*1.602E-9)
-          eflux(i+2) = flux(i+2)*fac_p2e*alfa(i+2)
         endif
 
       enddo ! i=1,nlon
@@ -823,24 +801,23 @@ subroutine aurora_heat(lat)
 ! will not change simulations.
 !                                                        Wenbin  wang
 !
-#if defined(INTERCOMM) || defined(CISMAH)
-     do i=1,nlonp4
-      alfa(i)=geng(i,lat)+0.01
-      flux(i)=gflx(i,lat)+0.01
-      if(alfa(i)<=0.)alfa(i)=0.01
-      if(flux(i)<=0.)flux(i)=0.01
-      eflux(i) = flux(i)*fac_p2e*alfa(i)
-!     write(6,*)alfa(i),flux(i),i,lat
-     enddo
+#ifdef GAMERA
+      do i=1,nlonp4
+        alfa(i)=geng(i,lat)+0.01
+        flux(i)=gflx(i,lat)+0.01
+        if(alfa(i)<=0.)alfa(i)=0.01
+        if(flux(i)<=0.)flux(i)=0.01
+        eflux(i) = flux(i)*fac_p2e*alfa(i)
+!       write(6,*)alfa(i),flux(i),i,lat
+      enddo
 #endif
 
       end subroutine aurora_heat
       end module aurora_module
 !-----------------------------------------------------------------------
-! 11/08 EMERY added eflux=flux*fac_p2e*alfa (better when alfa quite variable)
-      subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
-     |  eflux1,eflux2,eflux3,flux1,flux2,flux3,
-     |  tn,o2,o1,n2,barm,zpbot,dzp,lev0,lev1,lon0,lon1,lat)
+      subroutine aurora_ions (drizl,cusp,alfa1,alfa2,alfa3,
+     |  flux1,flux2,flux3,tn,o2,o1,n2,barm,xnmbar,scht,
+     |  lev0,lev1,lon0,lon1,lat)
 !
 ! Calculate aroral additions to ionization rates.
 ! Note this routine is standalone, not in aurora_module.
@@ -850,8 +827,7 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
      |  expz,  ! exp(-zp) where zp is log pressure (ln(p0/p))
      |  grav,  ! gravity
      |  gask,  ! gas constant (8.314e7)
-     |  boltz, ! boltzman's constant (1.38e-16)
-     |  rmass_o2, rmass_o1, rmass_n2,        ! molelcular weights of o2,o,n2
+     |  rmass_o2, rmass_n2,        ! molelcular weights of o2,n2
      |  rmassinv_o2,rmassinv_o1,rmassinv_n2, ! 1./rmass
      |  avo    ! avogadro number (6.023e23)
 !
@@ -864,25 +840,21 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
      |  qtef   ! n  production rate (cm^-3s-1)
 !
 ! Auroral parameters:
-      use aurora_module,only: alfac, alfad, alfa_sp, ec,ed, fc,fd,
+      use aurora_module,only: alfac, alfad, alfa_sp, fc,fd,
      |  flx_sp, e30, add_sproton, add_helectron
       use addfld_module,only: addfld
-      use init_module,only: istep
       implicit none
 !
 ! Args:
-      real,intent(in) :: fac_p2e                ! convert from particle to energy flux
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,intent(in),dimension(lon0:lon1) :: drizl,cusp,
-     |  alfa1,alfa2,alfa3,eflux1,eflux2,eflux3,flux1,flux2,flux3
-! 11/08 EMERY added eflux=flux*fac_p2e*alfa as eflux1
-      real,intent(in) :: zpbot,dzp
+     |  alfa1,alfa2,alfa3,flux1,flux2,flux3
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  tn,o2,o1,n2,barm
+     |  tn,o2,o1,n2,barm,xnmbar,scht
 !
 ! Local:
-      integer :: i,k,nlevs
-      real :: zlev,klev,xn2
+      integer :: i,k
+      real :: xn2
       real,dimension(lev0:lev1,lon0:lon1) :: 
      |  p0ez, xalfa1, xalfa2, xcusp, xdrizl,       ! input to sub aion
      |  xalfa_sp, xalfa3,
@@ -890,7 +862,8 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
      |  alfa1_ion, alfa2_ion, alfa3_ion,           ! output from sub aion
      |  alfasp_bion,                               ! output from sub bion
      |  barm_t, qsum, denom, p0ez_mbar, tk_mbar,
-     |  qo2p_aur, qop_aur, qn2p_aur ! auroral ionization for O2+, O+, N2+
+     |  qo2p_aur, qop_aur, qn2p_aur,! auroral ionization for O2+, O+, N2+
+     |  qo2p_a, qop_a, qn2p_a
       real,dimension(lon0:lon1) ::
      |  falfa1, falfa2, fcusp, fdrizl, falfa_sp, falfa3
       real :: qia(5) ! low energy proton source (not in use, 1/02)
@@ -921,10 +894,8 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
           xcusp (k,i) = p0ez(k,i)/alfac
           xdrizl(k,i) = p0ez(k,i)/alfad
 !
-          p0ez_mbar(k,i) = p0*expz(k)/(boltz*tn(k,i)*
-     |      (o2(k,i)*rmassinv_o2+
-     |       o1(k,i)*rmassinv_o1+
-     |       n2(k,i)*rmassinv_n2))/avo
+          p0ez_mbar(k,i) = xnmbar(k,i)/avo
+! TODO: Need to check whether this should be gask*tn/(grav*mbar)
           tk_mbar(k,i) = gask*tn(k,i)/(grav*barm(k,i))*p0ez_mbar(k,i)
           xalfa_sp(k,i) = ((tk_mbar(k,i)/0.00271)**0.58140)/alfa_sp
         enddo ! k=lev0,lev1
@@ -939,21 +910,17 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
       drizl_ion = 1.e-20
 !
 ! Sub aion calculates auroral electrons: 
-!
-!     zlev = -7.5 ! time-gcm only
-!     klev = int((zlev-zpbot)/dzp)+1
-!     write(6,"('zlev=',f8.2,' klev=',i3)") zlev,klev
 !
       if (.not.use_cion) then
-        call aion(xalfa1,alfa1_ion,lev0,lev1,lon0,lon1,lat)
-        call aion(xalfa2,alfa2_ion,lev0,lev1,lon0,lon1,lat)
-        call aion(xcusp,cusp_ion,lev0,lev1,lon0,lon1,lat)
-        call aion(xdrizl,drizl_ion,lev0,lev1,lon0,lon1,lat)
+        call aion(xalfa1,alfa1_ion,lev0,lev1,lon0,lon1)
+        call aion(xalfa2,alfa2_ion,lev0,lev1,lon0,lon1)
+        call aion(xcusp,cusp_ion,lev0,lev1,lon0,lon1)
+        call aion(xdrizl,drizl_ion,lev0,lev1,lon0,lon1)
       else
-        call cion(xalfa1,alfa1_ion,alfa1,lev0,lev1,lon0,lon1,lat)
-        call cion(xalfa2,alfa2_ion,alfa1,lev0,lev1,lon0,lon1,lat)
-        call cion(xcusp,cusp_ion,alfa1,lev0,lev1,lon0,lon1,lat)
-        call cion(xdrizl,drizl_ion,alfa1,lev0,lev1,lon0,lon1,lat)
+        call cion(xalfa1,alfa1_ion,alfa1,lev0,lev1,lon0,lon1)
+        call cion(xalfa2,alfa2_ion,alfa1,lev0,lev1,lon0,lon1)
+        call cion(xcusp,cusp_ion,alfa1,lev0,lev1,lon0,lon1)
+        call cion(xdrizl,drizl_ion,alfa1,lev0,lev1,lon0,lon1)
       endif
 
 !     call addfld('ALFA1',' ',' ',alfa1_ion,'lev',lev0,lev1,
@@ -967,31 +934,26 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
 !
 ! Solar protons:
       if (flx_sp > 1.e-19)
-     |  call bion(xalfa_sp,alfasp_bion,lev0,lev1,lon0,lon1,lat)
+     |  call bion(xalfa_sp,alfasp_bion,lev0,lev1,lon0,lon1)
 !
 ! High energy electrons:
       if (e30 > 1.e-19)
-     |  call aion(xalfa3, alfa3_ion,lev0,lev1,lon0,lon1,lat)
+     |  call aion(xalfa3, alfa3_ion,lev0,lev1,lon0,lon1)
 !
       qaurora = 0.
       do i=lon0,lon1
-! 11/08 EMERY added eflux=flux*fac_p2e*alfa;  eflux1 better than flux1 if alfa quite variable
-!       falfa1(i) = eflux1(i)/fac_p2e  ! s7  This should be equivalent to alfa1*flux1
         falfa1(i) = alfa1(i)*flux1(i)  ! s7
-!       falfa2(i) = eflux2(i)/fac_p2e  ! s8  This should be equivalent to alfa2*flux2
         falfa2(i) = alfa2(i)*flux2(i)  ! s8
 
         fcusp (i) = cusp(i)*alfac*fc   ! s9
         fdrizl(i) = drizl(i)*alfad*fd  ! s10
-!	falfa3(i) = eflux3(i)/fac_p2e  ! s13 This should be equivalent to alfa3*flux3
         falfa3(i) = alfa3(i)*flux3(i)  ! s13 (high energy electrons)
 !
 ! Pressure column, bottom to top:
         do k=lev0,lev1-1
           falfa_sp(i) = drizl(i)*p0ez_mbar(k,i)*flx_sp*1.e6/
      |      (tk_mbar(k,i)*35.)
-          barm_t(k,i) = grav*0.5*(barm(k,i)+barm(k+1,i))/(35.e-3*gask* ! s11
-     |      tn(k,i))
+          barm_t(k,i) = 1./(35.e-3*scht(k,i)) ! s11
           qsum(k,i) = 
      |      falfa1(i)*alfa1_ion(k,i)+  ! s7*s3
      |      falfa2(i)*alfa2_ion(k,i)+  ! s8*s4
@@ -1025,7 +987,6 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
 !
 ! Production of N2+ (equation (13) in Roble,1987)
           xn2 = n2(k,i)
-          if (xn2 <= 1.e-8) xn2 = 1.e-8
           qn2p_aur(k,i) = qsum(k,i)*0.7*xn2/(rmass_n2*denom(k,i))+qia(1)
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
@@ -1063,69 +1024,40 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
       call addfld('QAURORA',' ','cm-3 s-1',qaurora,
      |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !
-! Add auroral to total ionization rates for o2+, o+, and n2+
-! (see qrj_module)
       do i=lon0,lon1
         do k=lev0+1,lev1-1
-          qo2p(k,i,lat) = qo2p(k,i,lat)+sqrt(qo2p_aur(k,i)*
-     |      qo2p_aur(k-1,i))
-          qop (k,i,lat) = qop (k,i,lat)+sqrt(qop_aur (k,i)*
-     |      qop_aur(k-1,i))
-          qn2p(k,i,lat) = qn2p(k,i,lat)+sqrt(qn2p_aur(k,i)*
-     |      qn2p_aur(k-1,i))
-          qnp (k,i,lat) = qnp (k,i,lat)+
-     |      .22/.7 * sqrt(qn2p_aur(k,i)*qn2p_aur(k-1,i))
-          qtef(k,i,lat) = qtef(k,i,lat)+1.57*sqrt(qn2p_aur(k,i)*
-     |      qn2p_aur(k-1,i))
-        enddo ! k=lev0+2,lev1-1
+          qo2p_a(k,i) = sqrt(qo2p_aur(k,i)*qo2p_aur(k-1,i))
+          qop_a (k,i) = sqrt(qop_aur (k,i)*qop_aur (k-1,i))
+          qn2p_a(k,i) = sqrt(qn2p_aur(k,i)*qn2p_aur(k-1,i))
+        enddo
 !
 ! Extrapolate lower boundary:
-! TIEGCM-1.9x bug fix from Wenbin's old LTR/CMIT-2.5 code
-#if defined(INTERCOMM) || defined(CISMAH)
-        if(1.5*qo2p_aur(lev0,i) > 0.5*qo2p_aur(lev0+1,i))then
-         qo2p(lev0,i,lat) = qo2p(lev0,i,lat)+1.5*qo2p_aur(lev0,i)-
-     |     0.5*qo2p_aur(lev0+1,i)
-        endif                         !!! CISM fix
-        if(1.5*qop_aur (lev0,i) > 0.5*qop_aur (lev0+1,i))then
-         qop (lev0,i,lat) = qop (lev0,i,lat)+1.5*qop_aur (lev0,i)-
-     |     0.5*qop_aur (lev0+1,i)
-        endif
-        if(1.5*qn2p_aur(lev0,i) > 0.5*qn2p_aur(lev0+1,i))then
-         qn2p(lev0,i,lat) = qn2p(lev0,i,lat)+1.5*qn2p_aur(lev0,i)-
-     |     0.5*qn2p_aur(lev0+1,i)
-        endif
-        if(1.5*qn2p_aur(lev0,i) > 0.5*qn2p_aur(lev0+1,i))then
-         qnp (lev0,i,lat) = qnp (lev0,i,lat)+ .22/.7 *
-     |     (1.5*qn2p_aur(lev0,i)-0.5*qn2p_aur(lev0+1,i))
-        endif
-        if(1.5*qn2p_aur(lev0,i) > 0.5*qn2p_aur(lev0+1,i))then
-         qtef(lev0,i,lat) = qtef(lev0,i,lat)+1.57*(1.5*qn2p_aur(lev0,i)-
-     |     0.5*qn2p_aur(lev0+1,i))
-        endif
-#else
-        qo2p(lev0,i,lat) = qo2p(lev0,i,lat)+1.5*qo2p_aur(lev0,i)-
-     |    0.5*qo2p_aur(lev0+1,i)        
-        qop (lev0,i,lat) = qop (lev0,i,lat)+1.5*qop_aur (lev0,i)-
-     |    0.5*qop_aur (lev0+1,i)        
-        qn2p(lev0,i,lat) = qn2p(lev0,i,lat)+1.5*qn2p_aur(lev0,i)-
-     |    0.5*qn2p_aur(lev0+1,i)        
-        qnp (lev0,i,lat) = qnp (lev0,i,lat)+ .22/.7 * 
-     |    (1.5*qn2p_aur(lev0,i)-0.5*qn2p_aur(lev0+1,i))
-        qtef(lev0,i,lat) = qtef(lev0,i,lat)+1.57*(1.5*qn2p_aur(lev0,i)-
-     |    0.5*qn2p_aur(lev0+1,i))        
-#endif
+        qo2p_a(lev0,i) =
+     |    max(1.5*qo2p_aur(lev0,i)-0.5*qo2p_aur(lev0+1,i),0.)
+        qop_a (lev0,i) =
+     |    max(1.5*qop_aur (lev0,i)-0.5*qop_aur (lev0+1,i),0.)
+        qn2p_a(lev0,i) =
+     |    max(1.5*qn2p_aur(lev0,i)-0.5*qn2p_aur(lev0+1,i),0.)
 !
 ! Extrapolate upper boundary:
-        qo2p(lev1,i,lat)= qo2p(lev1,i,lat)+1.5*qo2p_aur(lev1-1,i)-
-     |    0.5*qo2p_aur(lev1-2,i)
-        qop (lev1,i,lat)= qop (lev1,i,lat)+1.5*qop_aur (lev1-1,i)-
-     |    0.5*qop_aur (lev1-2,i)
-        qn2p(lev1,i,lat)= qn2p(lev1,i,lat)+1.5*qn2p_aur(lev1-1,i)-
-     |    0.5*qn2p_aur(lev1-2,i)
-        qnp (lev1,i,lat)= qnp (lev1,i,lat)+ .22/.7 * 
-     |    (1.5*qn2p_aur(lev1-1,i)-0.5*qn2p_aur(lev1-2,i))
-        qtef(lev1,i,lat) = qtef(lev1,i,lat)+1.57*
-     |    (1.5*qn2p_aur(lev1-1,i)-0.5*qn2p_aur(lev1-2,i))
+        qo2p_a(lev1,i) =
+     |    max(1.5*qo2p_aur(lev1-1,i)-0.5*qo2p_aur(lev1-2,i),0.)
+        qop_a (lev1,i) =
+     |    max(1.5*qop_aur (lev1-1,i)-0.5*qop_aur (lev1-2,i),0.)
+        qn2p_a(lev1,i) =
+     |    max(1.5*qn2p_aur(lev1-1,i)-0.5*qn2p_aur(lev1-2,i),0.)
+      enddo
+!
+! Add auroral to total ionization rates for o2+, o+, and n2+
+! (see qrj_module)
+      do i=lon0,lon1
+        do k=lev0,lev1
+          qo2p(k,i,lat) = qo2p(k,i,lat)+qo2p_a(k,i)
+          qop (k,i,lat) = qop (k,i,lat)+qop_a (k,i)
+          qn2p(k,i,lat) = qn2p(k,i,lat)+qn2p_a(k,i)
+          qnp (k,i,lat) = qnp (k,i,lat)+.22/.7*qn2p_a(k,i)
+          qtef(k,i,lat) = qtef(k,i,lat)+1.57*qn2p_a(k,i)
+        enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 
 !     call addfld('QO2P',' ',' ',qo2p(lev0:lev1,lon0:lon1,lat),
@@ -1139,14 +1071,14 @@ subroutine aurora_ions (fac_p2e,drizl,cusp,alfa1,alfa2,alfa3,
 
       end subroutine aurora_ions
 !-----------------------------------------------------------------------
-      subroutine aion(si,so,lev0,lev1,lon0,lon1,lat)
+      subroutine aion(si,so,lev0,lev1,lon0,lon1)
       implicit none
 !
 ! Calculates integrated f(x) needed for total auroral ionization.
 ! See equations (10-12) in Roble,1987.
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,intent(in)  :: si(lev0:lev1,lon0:lon1)
       real,intent(out) :: so(lev0:lev1,lon0:lon1)
 !
@@ -1173,14 +1105,14 @@ subroutine aion(si,so,lev0,lev1,lon0,lon1,lat)
       enddo ! k=lev0,lev1
       end subroutine aion
 !-----------------------------------------------------------------------
-      subroutine bion(si,so,lev0,lev1,lon0,lon1,lat)
+      subroutine bion(si,so,lev0,lev1,lon0,lon1)
       implicit none
 !
 ! Calculates integrated f(x) needed for total auroral ionization.
 ! See equations (10-12) in Roble,1987.
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,intent(in)  :: si(lev0:lev1,lon0:lon1)
       real,intent(out) :: so(lev0:lev1,lon0:lon1)
 !
@@ -1203,7 +1135,7 @@ subroutine bion(si,so,lev0,lev1,lon0,lon1,lat)
       enddo ! k=lev0,lev1
       end subroutine bion
 !-----------------------------------------------------------------------
-      subroutine cion(si,so,alpha,lev0,lev1,lon0,lon1,lat)
+      subroutine cion(si,so,alpha,lev0,lev1,lon0,lon1)
 !
 ! Calculate a normalized energy deposition function, which is produced by
 ! electron precipitation with a characteristic energy from 100 eV to 1 MeV.
@@ -1219,7 +1151,7 @@ subroutine cion(si,so,alpha,lev0,lev1,lon0,lon1,lat)
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,intent(in)  :: si(lev0:lev1,lon0:lon1),alpha(lon0:lon1)
       real,intent(out) :: so(lev0:lev1,lon0:lon1)
 !
diff --git a/src/bgrd_data.F b/src/bgrd_data.F
index 257f8ad..9ed733d 100644
--- a/src/bgrd_data.F
+++ b/src/bgrd_data.F
@@ -26,16 +26,12 @@ module bgrd_data_module
 !
       use params_module,only: nlon,nlat,nlonp4,nlonp2
       use mpi_module,only: lon0,lon1,lat0,lat1
-      use nchist_module,only:nc_open,nc_close,handle_ncerr
+      use nchist_module,only:handle_ncerr
       use addfld_module,only: addfld
 !
       implicit none
 !
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif 
 ! 
 ! Bachground based on data at lower boundary at model grid, 
 ! output by this module, to be used by dt, duv, addiag, etc.
@@ -58,7 +54,7 @@ module bgrd_data_module
 !
       contains
 !-----------------------------------------------------------------------
-      subroutine get_bgrddata(istep,iyear,iday,secs) 
+      subroutine get_bgrddata(istep,iday,secs) 
 !
 ! Module driver to read nc files, and do time interpolations.
 !
@@ -68,22 +64,16 @@ subroutine get_bgrddata(istep,iyear,iday,secs)
 ! Integer flags set according to user-requested files:
       use init_module,only:  ibgrddata   ! 0/1 flag to get background data
 !
-! Driver for obtaining GSWM data, called once per timestep from advance.
+! Driver for obtaining BGRD data, called once per timestep from advance.
 !
 ! Args:
-      integer,intent(in) :: istep,iyear,iday
+      integer,intent(in) :: istep,iday
       real,intent(in) :: secs
 !
-! Local:
-      integer :: iprint
-!
-      iprint = 0
-      if (istep==1) iprint = 1
-!
-! Get gswm migrating diurnal tide data:
+! Get bgrd migrating diurnal tide data:
       if (ibgrddata > 0) then
         if (istep==1) call rd_bgrddata(bgrddata_ncfile)
-        call mk_bgrddata(iyear,iday,int(secs),iprint)
+        call mk_bgrddata(iday,int(secs))
       endif
 !
       end subroutine get_bgrddata 
@@ -97,14 +87,14 @@ subroutine rd_bgrddata(ncfile)
       character(len=*),intent(in) :: ncfile
 !
 ! Local:
-      integer :: ncid,istat
+      integer :: ncid,istat,lonbeg,lonend
       character(len=mxlen_filename) :: dskfile
       integer :: nlon_rd, nlat_rd, nmonth_rd, nhour_rd
       integer :: id_nmonth, id_nhour, id_nlon, id_nlat
       integer :: idv_z, idv_t, idv_u, idv_v
       character(len=240) :: char240
-      real,dimension(nlonp4,nlat,nmonth,nhour) :: t,u,v,z
-      real,dimension(nlon,nlat,nmonth,nhour) :: tmp
+      integer,dimension(4) :: start,count
+      real,dimension(lon0:lon1,lat0:lat1,nmonth,nhour) :: t,u,v,z
 !
       dskfile = ' '
       call getfile(ncfile,dskfile)
@@ -112,8 +102,8 @@ subroutine rd_bgrddata(ncfile)
       write(6,"('Reading BGRDDATA data file ',a)") trim(ncfile)
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOERR) then
         write(6,"(/,'>>> rd:_bgrddata error opening netcdf backgrund',
      |    ' data file ',a,' dskfile ',a)") trim(ncfile),trim(dskfile)
         call shutdown('rd_bgrddata')
@@ -178,6 +168,13 @@ subroutine rd_bgrddata(ncfile)
         write(6,"('background data file: ',a)") trim(ncfile)
         call shutdown('rd_bgrddata')
       endif
+!
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+      start = (/lonbeg-2,lat0,1,1/)
+      count = (/lonend-lonbeg+1,lat1-lat0+1,nmonth,nhour/)
 !
 ! Get Z geopotential height perturbation [m]:
 !
@@ -185,12 +182,12 @@ subroutine rd_bgrddata(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting Z var id')
       z = 0. ! init
-      istat = nf_get_var_double(ncid,idv_z,tmp)
-      z(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_z,start,count,
+     |  z(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting variable Z')
       z = z*100. 	! convert from m to cm
-!     write(6,"('rdgswm ',a,': z min,max=',2e12.4)") 
+!     write(6,"('rdbgrd ',a,': z min,max=',2e12.4)") 
 !    |  type,minval(z),maxval(z)
 !
 ! Get TN perturbation [deg K]:
@@ -199,11 +196,11 @@ subroutine rd_bgrddata(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting TN var id')
       t = 0.
-      istat = nf_get_var_double(ncid,idv_t,tmp)
-      t(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_t,start,count,
+     |  t(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting variable TN')
-!     write(6,"('rdgswm ',a,': tn min,max=',2e12.4)") 
+!     write(6,"('rdbgrd ',a,': tn min,max=',2e12.4)") 
 !    |  type,minval(t),maxval(t)
 !
 ! Get UN perturbation [m/s]:
@@ -212,12 +209,12 @@ subroutine rd_bgrddata(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting UN var id')
       u = 0.
-      istat = nf_get_var_double(ncid,idv_u,tmp)
-      u(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_u,start,count,
+     |  u(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting variable UN')
       u = u*100. 	! convert to cm/s
-!     write(6,"('rdgswm ',a,': un min,max=',2e12.4)") 
+!     write(6,"('rdbgrd ',a,': un min,max=',2e12.4)") 
 !    |  type,minval(u),maxval(u)
 !
 ! Get VN perturbation [m/s]:
@@ -226,12 +223,12 @@ subroutine rd_bgrddata(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting VN var id')
       v = 0.
-      istat = nf_get_var_double(ncid,idv_v,tmp)
-      v(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_v,start,count,
+     |  v(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_bgrddata: Error getting variable VN')
       v = v*100. 	! convert to cm/s
-!     write(6,"('rdgswm ',a,': vn min,max=',2e12.4)") 
+!     write(6,"('rdbgrd ',a,': vn min,max=',2e12.4)") 
 !    |  type,minval(v),maxval(v)
 !
 ! Transfer to private module data (whole-array assignments):
@@ -241,13 +238,13 @@ subroutine rd_bgrddata(ncfile)
       v_bgrd(lon0:lon1,lat0:lat1,:,:) = v(lon0:lon1,lat0:lat1,:,:)
 !
 ! Close the file:
-      call nc_close(ncid)
+      istat = nf_close(ncid)
       write(6,"('Completed read from Background data file ',a)") 
      |   trim(ncfile)
       write(6,"(/,72('-'))")
       end subroutine rd_bgrddata
 !-----------------------------------------------------------------------
-      subroutine mk_bgrddata(iyear,iday,isecs,iprint)
+      subroutine mk_bgrddata(iday,isecs)
 !
 ! Use data read from background data file to return  U,V, Z
 ! and T at current model date and time. It is assumed that the background file
@@ -258,19 +255,16 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
 ! interpolated to the modelday
 !
       use hist_module,only: modeltime
-#ifdef MPI
       use mpi_module,only: mp_periodic_f2d
-#endif
       implicit none
 !
 ! Args:
-      integer,intent(in) :: iyear,iday,isecs,iprint
+      integer,intent(in) :: iday,isecs
 !
 ! Local:
-      real :: difsec,difday,sec,secint,dayint
-      integer :: i,j,ndmon_nl(13),ndmon_lp(13),nonleap,
-     |   mon_cur,mon_nxt,ihr_cur,ihr_nxt,nointp=0,
-     |   lonbeg,lonend,i0,i1,j0,j1
+      real :: difsec,difday,secint,dayint
+      integer :: i,ndmon_nl(13),mon_cur,mon_nxt,ihr_cur,ihr_nxt,
+     |   nointp=0,i0,i1,j0,j1
       real,dimension(lon0:lon1,lat0:lat1) :: t,u,v,z,
      |  z_curmo, t_curmo, u_curmo, v_curmo,
      |  z_nxtmo, t_nxtmo, u_nxtmo, v_nxtmo,
@@ -278,7 +272,7 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
      |  z_nxtmo_nxthr, t_nxtmo_nxthr, u_nxtmo_nxthr, v_nxtmo_nxthr
       real :: fbgrd(lon0:lon1,lat0:lat1,4) ! for mp calls
 !   
-! Data: GSWM data given at the middle of each month 
+! Data: BGRD data given at the middle of each month 
 !       -> day of year for this data assuming non-leap year
 !         J  F  M  A   M   J   J   A   S   O   N   D   J
       data ndmon_nl                                ! non_leap
@@ -329,10 +323,10 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
         u_curmo_nxthr = bgrddat(mon_cur,ihr_nxt+1,'u')
         v_curmo_nxthr = bgrddat(mon_cur,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo, 1)
-        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo, 1)
-        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo, 1)
-        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo, 1)
+        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo)
+        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo)
+        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo)
+        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo)
 !
 ! Interpolate to next month:
         z = z_nxtmo ; t = t_nxtmo ; u = u_nxtmo ; v = v_nxtmo
@@ -343,10 +337,10 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
         u_nxtmo_nxthr = bgrddat(mon_nxt,ihr_nxt+1,'u')
         v_nxtmo_nxthr = bgrddat(mon_nxt,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo,1)
-        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo,1)
-        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo,1)
-        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo,1)
+        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo)
+        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo)
+        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo)
+        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo)
 
       endif ! interpolate to month or not
 !
@@ -378,10 +372,10 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
 ! Interpolate to ut if necessary to local z,t,u,v:
       select case (nointp)
         case (0)                  ! interpolate
-          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z,1)
-          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t,1)
-          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u,1)
-          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v,1)
+          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z)
+          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t)
+          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u)
+          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v)
         case (1)                  ! no interp (same day as current month)
           z = z_curmo
           t = t_curmo
@@ -403,10 +397,9 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
        bgrddata_u(lon0:lon1,lat0:lat1) = u
        bgrddata_v(lon0:lon1,lat0:lat1) = v
 !
-! Do mpi periodic points exchange for gswm with f2d(:)
+! Do mpi periodic points exchange for bgrd with f2d(:)
 ! lons 1,2 <- nlonp4-3,nlonp4-2 and nlonp4-1,nlonp4 <- 3,4
 !
-#ifdef MPI
        fbgrd(:,:,1) = bgrddata_z(lon0:lon1,lat0:lat1)
        fbgrd(:,:,2) = bgrddata_t(lon0:lon1,lat0:lat1)
        fbgrd(:,:,3) = bgrddata_u(lon0:lon1,lat0:lat1)
@@ -416,12 +409,6 @@ subroutine mk_bgrddata(iyear,iday,isecs,iprint)
        bgrddata_t(lon0:lon1,lat0:lat1) = fbgrd(:,:,2)
        bgrddata_u(lon0:lon1,lat0:lat1) = fbgrd(:,:,3)
        bgrddata_v(lon0:lon1,lat0:lat1) = fbgrd(:,:,4)
-#else
-       call set_periodic_f2d(bgrddata_z)
-       call set_periodic_f2d(bgrddata_t)
-       call set_periodic_f2d(bgrddata_u)
-       call set_periodic_f2d(bgrddata_v)
-#endif
 
        call addfld('bgrddata_z','bgrd Z','cm',
      |	 bgrddata_z(i0:i1,j0:j1),'lon',i0,i1,'lat',j0,j1,0)
@@ -462,8 +449,7 @@ function bgrddat(mon,ihr,fname)
       
       end function bgrddat
 !-----------------------------------------------------------------------
-      subroutine timeinterp(d1,d2,difd1d2,difint,fout,
-     |  iprnt)
+      subroutine timeinterp(d1,d2,difd1d2,difint,fout)
 !
 ! Interpolate from fields d1,d2  linearly to time difint
 !   (d1 must be at 0 unit time), returning fout
@@ -475,7 +461,6 @@ subroutine timeinterp(d1,d2,difd1d2,difint,fout,
 !   fout is defined at difint
 !
 ! Args:
-      integer,intent(in) :: iprnt
       real,intent(in)  :: difd1d2,difint,d1(lon0:lon1,lat0:lat1),
      |   d2(lon0:lon1,lat0:lat1)
       real,intent(out) :: fout(lon0:lon1,lat0:lat1)
diff --git a/src/chapman.F b/src/chapman.F
index b544869..92d7505 100644
--- a/src/chapman.F
+++ b/src/chapman.F
@@ -5,24 +5,19 @@ module chapman_module
 ! Open Source Academic Research License Agreement contained in the file 
 ! tiegcmlicense.txt.
 !
-      use params_module,only: nlonp4,nlat,dz
+      use params_module,only: nlonp4,nlat
       use addfld_module,only: addfld
       implicit none
       real,dimension(nlonp4,nlat) :: 
-     |  chi,         ! solar zenith angle
-     |  sin_chi,     ! sin(chi)
-     |  cos_chi,     ! cos(chi)
-     |  rt_sinchi,   ! sqrt(sin(chi))
-     |  slt          ! local time
+     |  chi         ! solar zenith angle
 !
       contains
 !-----------------------------------------------------------------------
       subroutine chapman(z,tn,o2,o1,n2,barm,vo2,vo1,vn2,sco2,sco1,scn2,
      |  lev0,lev1,lon0,lon1,lat)
-      use params_module,only: dz
-      use init_module,only: secs,sin_sundec,cos_sundec,idn,uthr
-      use cons_module,only: pi,dphi,dlamda,re,rmass_o2,rmass_o1,rmass_n2
-      use hist_module,only: modeltime ! for diag
+      use params_module,only: nlon,nlonp2,glat,glon
+      use init_module,only: secs,sin_sundec,cos_sundec,idn
+      use cons_module,only: pi,dtr,re,rmass_o2,rmass_o1,rmass_n2
       use fields_module,only: tlbc
 !
 ! Calculate line integrals for o2,o n2:
@@ -46,39 +41,48 @@ subroutine chapman(z,tn,o2,o1,n2,barm,vo2,vo1,vn2,sco2,sco1,scn2,
      |  scn2  ! n2 slant column integration
 !
 ! Local:
-      real :: rlat,coslat,sinlat,factor,rtpi,fmin,fmax
+      real :: rlat,coslat,sinlat,rtpi
       integer :: k,i
       real :: rp(lev0:lev1,lon0:lon1), ! z+re
      |        ti(lev0:lev1,lon0:lon1)  ! tn at interfaces
+      real,dimension(nlonp4) :: glon0
       real,dimension(lev0:lev1,lon0:lon1) :: ! for diagnostic plotting
      |  chi_plt, slt_plt, idn_plt
+      real,dimension(lon0:lon1) ::
+     |  sin_chi,     ! sin(chi)
+     |  cos_chi,     ! cos(chi)
+     |  rt_sinchi,   ! sqrt(sin(chi))
+     |  slt          ! local time
 !
 ! Set up sun related geometry according to current model date and time.
 ! Also set day/night index idn (init_module).
+!
+      glon0(3:nlonp2) = glon
+      glon0(1:2) = glon(nlon-1:nlon)
+      glon0(nlonp2+1:nlonp4) = glon(1:2)
 !
       rtpi = sqrt(pi)
-      rlat = -.5*pi+(float(lat-1)+.5)*dphi
+      rlat = glat(lat)*dtr
       coslat=cos(rlat)
       sinlat=sin(rlat)
       idn(lon0:lon1) = 1
       do i=lon0,lon1
-        slt(i,lat)=amod(secs/3600.+(float(i-3)*dlamda+pi)*12./pi,24.)
+        slt(i)=amod(secs/3600.+glon0(i)/15.,24.)
         chi(i,lat)=acos(sin_sundec*sinlat+cos_sundec*coslat*
-     |    cos(pi*(slt(i,lat)-12.)/12.))
-        sin_chi(i,lat) = sin(chi(i,lat))
-        cos_chi(i,lat) = cos(chi(i,lat))
-        rt_sinchi(i,lat) = sqrt(sin_chi(i,lat))
+     |    cos(pi*(slt(i)-12.)/12.))
+        sin_chi(i) = sin(chi(i,lat))
+        cos_chi(i) = cos(chi(i,lat))
+        rt_sinchi(i) = sqrt(sin_chi(i))
         if (chi(i,lat) > 1.8326) idn(i) = 0
 
         chi_plt(:,i) = chi(i,lat)
-        slt_plt(:,i) = slt(i,lat)
+        slt_plt(:,i) = slt(i)
         idn_plt(:,i) = idn(i)
       enddo                
 
-!     write(6,"('chapman: lat=',i3,' modeltime=',4i4,
-!    |  ' uthr=',f5.2,/,'slt=',(6e12.4))") lat,modeltime,uthr
+!     write(6,"('chapman: lat=',i3) lat
 !     write(6,"('chi=',(12f5.2))") chi(:,lat)
-!     write(6,"('slt=',(12f5.2))") slt(:,lat)
+!     write(6,"('slt=',(12f5.2))") slt(:)
 !     write(6,"('idn=',(12i2))") idn(:)
 
 !     call addfld('CHI',' ',' ',chi_plt,
@@ -113,17 +117,17 @@ subroutine chapman(z,tn,o2,o1,n2,barm,vo2,vo1,vn2,sco2,sco1,scn2,
 ! Calculate line integrals (vo[x] and sco[x] are output):
 !
       call line_integ(o2,rmass_o2,vo2,sco2,ti,barm,
-     |  cos_chi(lon0:lon1,lat),sin_chi(lon0:lon1,lat),
-     |  rt_sinchi(lon0:lon1,lat),rp,idn(lon0:lon1),
-     |  lon0,lon1,lev0,lev1,lat,1)
+     |  cos_chi(lon0:lon1),sin_chi(lon0:lon1),
+     |  rt_sinchi(lon0:lon1),rp,idn(lon0:lon1),
+     |  lon0,lon1,lev0,lev1)
       call line_integ(o1,rmass_o1,vo1,sco1,ti,barm,
-     |  cos_chi(lon0:lon1,lat),sin_chi(lon0:lon1,lat),
-     |  rt_sinchi(lon0:lon1,lat),rp,idn(lon0:lon1),
-     |  lon0,lon1,lev0,lev1,lat,2)
+     |  cos_chi(lon0:lon1),sin_chi(lon0:lon1),
+     |  rt_sinchi(lon0:lon1),rp,idn(lon0:lon1),
+     |  lon0,lon1,lev0,lev1)
       call line_integ(n2,rmass_n2,vn2,scn2,ti,barm,
-     |  cos_chi(lon0:lon1,lat),sin_chi(lon0:lon1,lat),
-     |  rt_sinchi(lon0:lon1,lat),rp,idn(lon0:lon1),
-     |  lon0,lon1,lev0,lev1,lat,3)
+     |  cos_chi(lon0:lon1),sin_chi(lon0:lon1),
+     |  rt_sinchi(lon0:lon1),rp,idn(lon0:lon1),
+     |  lon0,lon1,lev0,lev1)
 !
 ! Save column number densities:
 !     call addfld('VO2',' ',' ',vo2(:,lon0:lon1),
@@ -144,13 +148,13 @@ subroutine chapman(z,tn,o2,o1,n2,barm,vo2,vo1,vn2,sco2,sco1,scn2,
       end subroutine chapman
 !-----------------------------------------------------------------------
       subroutine line_integ(f,fmass,v,s,ti,barm,cos_chi,sin_chi,
-     |  rt_sinchi,rp,idn,lon0,lon1,lev0,lev1,lat,if)
+     |  rt_sinchi,rp,idn,lon0,lon1,lev0,lev1)
       use params_module,only: dz
       use cons_module,only: expz,grav,p0,avo,gask,pi,re
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lon0,lon1,lev0,lev1,lat,if
+      integer,intent(in) :: lon0,lon1,lev0,lev1
       real,intent(in) :: fmass
       real,dimension(lev0:lev1,lon0:lon1),intent(in) :: 
      |  ti,        ! tn at interfaces
diff --git a/src/cism_adhoc.F b/src/cism_adhoc.F
deleted file mode 100644
index 288db28..0000000
--- a/src/cism_adhoc.F
+++ /dev/null
@@ -1,225 +0,0 @@
-#ifdef CISMAH
-!-----------------------------------------------------------------------
-!
-! Functions for using ad hoc coupling in CISM_LTR
-!
-!-------------------------------------------------------------------
-       subroutine ca_init
-!              
-! This subroutine initialize ad hoc interface for data exchange 
-!
-! Open Fortran I/O units for M-I coupling outputs, will be replaced with 
-! netcdf calls later
-!
-!
-! Local:
-!
-      character(len=128) :: filename       
-      integer :: npath
-      logical isFileOK
-
-      call get_file_path(npath,filename)
-!
-! Initialize ting status
-!     
-      filename(npath+1:npath+11)='ting_status'
-      open(59,file=filename(1:npath+11))
-      write(59,"(a1)")'0'
-      close(59)     
-!
-!     End initialize ad hoc coupling 
-!
-      write(6,*) 'Ad hoc coupling Init Complete'
-
-      end subroutine ca_init
-!-------------------------------------------------------------------
-      subroutine ca_close
-!              
-! This subroutine close cism ad hoc coupling interface for data exchange, and
-! close Fortran I/O units 
-! 
-      write(6,*)'finished closing Fortran Units for coupling'
-
-      end subroutine ca_close
-!-------------------------------------------------------------------
-      subroutine ca_receive
-!              
-! This subroutine receive auroral data via file exchanges from the
-! M-I coupler 
-!
-      use params_module,only: nlat,nlonp1 
-      use cism_coupling_module,only: gpot,geng,gflx,gpotm,
-     |     ting_pot_interp,
-     |     ting_eng_interp,
-     |     ting_flux_interp
-
-!     
-! Local:
-!
-      character(len=128) :: filename
-      integer :: npath
-      integer ii,jj
-      logical isFileOK
-
-      call get_file_path(npath,filename)
-!
-! Check if data is available from M-I couplier
-!
-      close(57)
-      filename(npath+1:npath+10)='mhd_status'
-c     
-c     check to make sure file exists before proceeding
-c
-      isFileOK = .FALSE.
-      do while (isFileOK .NEQV. .TRUE.)
-         inquire(file=filename(1:npath+10),exist=isFileOK)
-#ifdef AIX
-         call sleep_(5)
-#else
-         call sleep(5)
-#endif
-      enddo 
-
-!
-!     Lock file exists... Wait until mhd status is "new"
-!
-      mhd_data = 0
-
-      do while(mhd_data.ne.1)
-#ifdef AIX
-       call sleep_(5)
-#else
-       call sleep(5)
-#endif
-       close(57)
-       open(57,file=filename(1:npath+10))
-       read(57,331)mhd_data
-       close(57)
-      enddo
-!
-! open data file 'ting-inputs.txt' and read data
-!
-      close(58)
-       filename(npath+1:npath+15)='ting-inputs.txt'
-      open(58,file=filename(1:npath+15))
-      read(58,581)nday,nhour,nmin,nsec
-581   format(i3,2x,i2,2x,i2,2x,i2)
-      write(6,581)nday,nhour,nmin,nsec
-      do j=1,nlat
-       do i=1,nlonp1
-         read(58,582)a,b,
-     | ting_pot_interp(j,i),ting_eng_interp(j,i),ting_flux_interp(j,i)
-       enddo
-      enddo
-582   format(5e12.4)
-      close(58)  
-!
-! Change mhd status to old
-!
-      filename(npath+1:npath+10)='mhd_status'
-      open(57,file=filename(1:npath+10))
-      mhd_data=0
-      write(57,331)mhd_data
-      close(57)
-331   format(1I2) 
-
-!
-      end subroutine ca_receive
-!-------------------------------------------------------------------
-      subroutine ca_send(cmodeltime)
-!              
-! This subroutine send TIEGCM data via ad hoc coupling to M-I coupler 
-!
-      use params_module,only: nlat,nlonp1,dlon,glon,glat
-      use cism_coupling_module,only:
-     |     ting_ped,
-     |     ting_hall,
-     |     ting_gnsrhs
-!
-! Args:
-!
-      integer,intent(in) :: cmodeltime(4)
-
-!     
-! Local:
-!
-      character(len=128) :: filename       
-      integer :: npath
-      real :: tie_send(nlat,nlonp1),gglon(nlonp1)
-      integer :: jj,ii
-      integer ting_data
-      logical isFileOK
-
-      call get_file_path(npath, filename)
-!
-! Don't bother checking lock files.  MIX reads & processes TIEGCM data
-! before sending to TIEGCM.  So once TIEGCM receives data, the 
-! TIEGCM export/send is already old.
-!
-!     Open ting-outputs.txt for writing.
-!     
-      close(56)
-      filename(npath+1:npath+16)='ting-outputs.txt'
-      open(56,file=filename(1:npath+16))
-
-      write(56,333)cmodeltime(1),cmodeltime(2),
-     1             cmodeltime(3),cmodeltime(4)
-
-      do ii=1,nlonp1-1
-         gglon(ii)=glon(ii)
-      enddo
-      gglon(nlonp1)=gglon(nlonp1-1)+dlon
-
-!  FIXME:  Reading data into temporary arrays:
-!          ting_ped,ting_hall,ting_gnsrhs
-!          ... and then copying to real arrays
-!          gzigm1, gzigm2, gnsrhs in cism_coupling.F
-!          Could re-code to prevent temporary array slowness.
-      do jj=1,nlat
-         do ii=1,nlonp1
-            write(56,561)glat(jj),gglon(ii),
-!     |           gzigm1(ii,jj),gzigm2(ii,jj),gnsrhs(ii,jj) 
-     |           ting_ped(jj,ii),ting_hall(jj,ii),ting_gnsrhs(jj,ii)
-         enddo
-      enddo
- 561  format(5e12.4)
-
- 333  format(i3,2x,i2,2x,i2,2x,i2)
-
-      close(56)
-      filename(npath+1:npath+11)='ting_status'
-      open(56,file=filename(1:npath+11))     
-      write(56,"(A1)")'1'
-      close(56)     
-
-      end subroutine ca_send
-!-------------------------------------------------------------------
-      subroutine get_file_path(npath,filename)
-! ... Local variables ..................................................
-      logical isFileOK
-      character(len=60) :: ans
-! ... Return variable ..................................................
-      integer :: npath
-      character(len=128) :: filename
-! ... Begin ............................................................      
-      inquire(file='path', exist=isFileOK)
-      if (isFileOK .NEQV. .TRUE.) then
-         write(*,*) "'path' file not found.  Couple in  $PWD"
-         ans = "./"
-      else      
-         open(59,file='path')
-         read(59,"(a)")ans
-         close(59)
-      endif
-      npath=len_trim(ans)
-      filename(1:npath)=ans(1:npath)
-      end subroutine get_file_path
-!-----------------------------------------------------------------------
-#else
-!-----------------------------------------------------------------------
-      ! Intel Fortran compiler chokes on empty source files.  
-      ! This subroutine is empty so this file will have SOMETHING in it
-      subroutine adhoc_null
-      end subroutine adhoc_null
-!-----------------------------------------------------------------------
-#endif
diff --git a/src/cism_coupling.F b/src/cism_coupling.F
deleted file mode 100644
index a3a2ed7..0000000
--- a/src/cism_coupling.F
+++ /dev/null
@@ -1,542 +0,0 @@
-#if defined(INTERCOMM) || defined(CISMAH)
-!-----------------------------------------------------------------------
-      module cism_coupling_module
-!-----------------------------------------------------------------------
-!DESCRIPTION:
-!
-! Module for coupling TIEGCM with LFM and MIX (CMIT).  Coupling can use
-! either InterComm or disk I/O file exchanges (i.e. "adhoc" mode).
-! For implementation details, see the source code for the corresponding
-! coupling infrastructure;
-!
-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-!!  Preprocessor flag  !!  Source Code        !!  Notes               !!
-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-!!    CISMAH           !!  cism_adhoc.F       !! slow adhoc/file exchg!!
-!!    INTERCOMM        !!  cism_intercomm.F   !! High-performance     !!
-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-!-----------------------------------------------------------------------
-      use addfld_module,only: addfld
-      use mpi_module,only: lon0,lon1,lat0,lat1
-      use params_module,only: 
-     |     nlat,   ! number of geographic latitudes (at 5 deg, nlat==36)
-     |     nlatp1, ! nlat+1
-     |     nlon,   ! number of geographic longitudes (at 5 deg, nlon=72)
-     |     nlonp1, ! nlon+1
-     |     nlonp4, ! nlon+4
-     |     nmlonp1,
-     |     nmlath,
-     |     nmlat,
-     |     nmlon   !
-      implicit none
-
-
-      real*8,allocatable,dimension(:,:),save ::
-     |  gzigm2,   ! sigma2    ! CISM height integrated Hall conductivity geographic
-     |  gzigm1,   ! sigma1    ! CISM height integrated Pedersen conductivity geographic
-     |  gnsrhs    ! nsrsh     ! CISM height integrated neutral wind currents geographic
-
-      real*8, dimension(nlat,nlonp1) ::
-     |     ting_pot_interp,  ! potential in geo coord from MIX
-     |     ting_eng_interp,  ! energy in geo coord from MIX
-     |     ting_flux_interp  ! flux in geo coord from MIX
-      real*8, dimension(nlat,nlonp1) ::
-     |     ting_ped,     ! Temp array --> gzigm1
-     |     ting_hall,    ! Temp array --> gzigm2
-     |     ting_gnsrhs  ! Temp array --> gnsrhs
-      real*8, dimension(nlonp4,nlat) ::
-     |     gpot, ! potential in geographic coordinates, periodic bound.
-     |     geng, ! energy in geographic coordinates, periodic boundary
-     |     gflx  ! flux in geographic coordinates, periodic boundary
-
-!     Note: gpotm latitude dimension is defined to match mag2geo
-!     specifications.
-      real*8, dimension(nlonp4,0:nlatp1) ::
-     |     gpotm ! Potential in geographic coord from M-I coupler
-
-#if defined(INTERCOMM)
-      integer :: xjd
-#endif
-      contains 
-!-----------------------------------------------------------------------
-      subroutine initialize
-      use mpi_module,only: mytid,ntask
-      integer istat
-#ifndef MPI
-      mytid = 0
-      ntask = 1
-#endif
-
-#if defined(INTERCOMM)
-      call ci_init
-#elif defined(CISMAH)
-      call ca_init
-#endif
-      allocate(gzigm1(lon0:lon1,lat0:lat1),stat=istat)
-      if (istat /= 0) call shutdown('alloc_pdyn: gzigm1')
-      gzigm1 = 0.
-      allocate(gzigm2(lon0:lon1,lat0:lat1),stat=istat)
-      if (istat /= 0) call shutdown('alloc_pdyn: gzigm2')
-      gzigm2 = 0.
-      allocate(gnsrhs(lon0:lon1,lat0:lat1),stat=istat)
-      if (istat /= 0) call shutdown('alloc_pdyn: gnsrhs')
-      ting_ped = 0.
-      ting_hall = 0.
-      ting_gnsrhs = 0.
-      end subroutine initialize
-!-----------------------------------------------------------------------
-      subroutine import
-! 1.  Receive arrays
-!       - ting_pot_interp
-!       - ting_eng_interp
-!       - ting_flx_interp
-!     from MIX on process zero.
-! 2.  Broadcast to all MPI tasks
-! 3.  Set to gpot, gpotm, geng, gflx with periodic boundary
-! 4.  Clean up pole values for Dynamo solver.
-!
-      use input_module,only: ctpoten
-      use mpi_module,only: mytid
-#ifdef MPI
-      use mpi_module,only: mytid, handle_mpi_err
-#include <mpif.h>
-      integer iErr
-#endif
-      integer ii,jj,js,jn
-      real cpmaxsh,cpminsh,cpmaxnh,cpminnh
-      real polev1, polev2
-
-      write(6,"(A,I1,A)") "TIEGCM (",mytid,"): inside receive"
-
-#if defined(INTERCOMM)
-      call ci_receive
-#elif defined(CISMAH)
-      call ca_receive
-#endif
-
-#ifdef MPI
-!     FIXME: could optimize this by packing all three arrays
-!     (ting_pot_interp, ting_eng_interp, ting_flux_interp) into one 3d
-!     array and calling MPI_Bcast with count=3*nlat*nlonp1.
-      call MPI_Bcast(ting_pot_interp, nlat*nlonp1, MPI_REAL8, 0, 
-     $     MPI_COMM_WORLD, iErr)
-      if (iErr .ne. 0) then
-         call handle_mpi_err(iErr, 'cism_coupling.F: call mpi_bcast')
-      endif
-
-      call MPI_Bcast(ting_eng_interp, nlat*nlonp1, MPI_REAL8, 0, 
-     $     MPI_COMM_WORLD, iErr)
-      if (iErr .ne. 0) then
-         call handle_mpi_err(iErr, 'cism_coupling.F: call mpi_bcast')
-      endif
-
-      call MPI_Bcast(ting_flux_interp, nlat*nlonp1, MPI_REAL8, 0, 
-     $     MPI_COMM_WORLD, iErr)
-      if (iErr .ne. 0) then
-         call handle_mpi_err(iErr, 'cism_coupling.F: call mpi_bcast')
-      endif
-#endif
-
-!
-! Process the imported data.
-!
-
-      do jj=1,nlat
-         do ii=1,nlon
-            ! Note ii+2 skips over period points.
-            gpot(ii+2,jj)=ting_pot_interp(jj,ii) !/1.2
-            geng(ii+2,jj)=ting_eng_interp(jj,ii)
-            gflx(ii+2,jj)=ting_flux_interp(jj,ii)
-         enddo
-         do ii=1,nlonp1
-            gpotm(ii+2,jj)=ting_pot_interp(jj,ii)
-         enddo
-      enddo	
-
-!     
-! Dynamo solver requires pole values for gpotm.
-! Linearly interpolate to add pole values
-!
-! Southern Hemisphere:  jj=latitudie=0
-!
-      polev1=0.
-      polev2=0.
-      do ii=1,nlonp1
-         polev1=polev1+gpotm(ii+2,1)
-         polev2=polev2+gpotm(ii+2,2)
-      enddo
-
-      do ii=1,nlonp1
-         gpotm(ii+2,0)=(9.*polev1-polev2)/(8.*float(nlonp1))
-      enddo
-
-!
-! Northern Hemisphere: jj=nLat+1
-!
-      polev1=0.
-      polev2=0.
-      do ii=1,nlonp1
-         polev1=polev1+gpotm(ii+2,nlat)
-         polev2=polev2+gpotm(ii+2,nlat-1)
-      enddo
-      do ii=1,nlonp1
-         gpotm(ii+2,nlatp1)=(9.*polev1-polev2)/(8.*float(nlonp1))
-      enddo
-
-!
-! Set periodic points
-!     
-      do jj=1,nlat
-         do ii=1,2
-            gpot(ii,jj)=gpot(nlon+ii,jj)
-            geng(ii,jj)=geng(nlon+ii,jj)
-            gflx(ii,jj)=gflx(nlon+ii,jj)
-            gpotm(ii,jj)=gpotm(nlon+ii,jj)
-            
-            gpot(nlonp1+ii+1,jj)=gpot(ii+2,jj)
-            geng(nlonp1+ii+1,jj)=geng(ii+2,jj)
-            gflx(nlonp1+ii+1,jj)=gflx(ii+2,jj)
-            gpotm(nlonp1+ii+1,jj)=gpotm(ii+2,jj)
-         enddo
-      enddo
-
-!!!
-!!!  08/11:  FIXME: While merging TIEGCM 1.94.1 into LTR-2.1.4-beta, I found
-!!!          the following code segment.  Does CTPOTEN really need to be
-!!!          calculated here?  What does CTPOTEN do in the input namelist?
-!!!          Isn't CTPOTEN read from the GPI file?  Is CMIT ready for the 
-!!!          dynamic crit mods?  Commenting this code out for now.  Need
-!!!          to talk with Ben on this.  Compare to TIEGCM revisions r571
-!!!          and r575 (TIEGCM repository).
-!!!
-!!!!
-!!!! 01/11:  Find ctpoten (kV) or min/max average from both hemispheres (gpot in V)
-!!!!         ctpoten is NOT (yet) used to find theta0 in aurora_cons, where theta0
-!!!!         is used in colath for crit(1,2).  Set theta0=10 so crit1,2=15,30 deg (old).
-!!!!
-!!!      cpmaxsh = -1000000.
-!!!      cpmaxnh = -1000000.
-!!!      cpminsh =  1000000.
-!!!      cpminnh =  1000000.
-!!!
-!!!      do js=1,nlat/2
-!!!       jn=nlat/2+js
-!!!       do ii=1,nlonp1+1
-!!!	cpmaxsh = max(cpmaxsh,gpot(ii,js))
-!!!	cpminsh = min(cpminsh,gpot(ii,js))
-!!!	cpmaxnh = max(cpmaxnh,gpot(ii,jn))
-!!!	cpminnh = min(cpminnh,gpot(ii,jn))
-!!!       enddo
-!!!      enddo
-!!!      ctpoten = 0.5*(cpmaxsh-cpminsh+cpmaxnh-cpminnh)*0.001
-!!!!     write (6,"(1x,'cism CP (SH,NH,av) =',3f8.2)") 
-!!!!   |  (cpmaxsh-cpminsh)*0.001,(cpmaxnh-cpminnh)*0.001,ctpoten	
-
-      end subroutine import
-!-----------------------------------------------------------------------
-      subroutine export(modeltime)
-! ... Shared Module Variables ..........................................
-      use mpi_module,only: mp_gather_f2d,mytid,ntask,tasks
-! ... Local variables ..................................................
-      real*8, dimension(nlonp4,nlat) ::
-     | gzigm1_glb,
-     | gzigm2_glb,
-     | gnsrhs_glb
-
-      integer :: jj,ii
-! ... Parameter variables ..............................................
-      integer, intent(in) :: modeltime(4)      
-! ... Begin ............................................................
-!
-! Prepare data for export:
-!     
-      where(gzigm1 < 0.2) gzigm1 = 0.2
-      where(gzigm2 < 0.2) gzigm2 = 0.2
-            
-!           FIXME:  Copying data into temporary arrays:
-!                   ting_ped,ting_hall,ting_gnsrhs ... and then copying to 
-!                   the arrays gzigm1,gzigm2,gnsrhs in cism_coupling.F
-!                   This code should be refactored to prevent ting_* tmp arrays.
-      call mp_gather_f2d(gzigm1,gzigm1_glb,tasks(:)%lon0,
-     |   tasks(:)%lon1, tasks(:)%lat0,tasks(:)%lat1,ntask,nlonp4,nlat,1)
-      call mp_gather_f2d(gzigm2,gzigm2_glb,tasks(:)%lon0,
-     |   tasks(:)%lon1, tasks(:)%lat0,tasks(:)%lat1,ntask,nlonp4,nlat,1)
-      call mp_gather_f2d(gnsrhs,gnsrhs_glb,tasks(:)%lon0,
-     |   tasks(:)%lon1, tasks(:)%lat0,tasks(:)%lat1,ntask,nlonp4,nlat,1)
-      if (mytid == 0) then
-        do jj=1,nlat
-           do ii=1,nlonp1
-              ting_ped(jj,ii) = gzigm1_glb(ii+2,jj)
-              ting_hall(jj,ii) = gzigm2_glb(ii+2,jj)
-              ting_gnsrhs(jj,ii) = gnsrhs_glb(ii+2,jj)
-           enddo
-        enddo
-
-        write(6,*) "Sending at: ", 
-     1     modeltime(1),modeltime(2), modeltime(3),modeltime(4)
-      
-!
-! Export the data...
-!      
-#if defined(INTERCOMM)
-        call ci_send(modeltime)
-#elif defined(CISMAH)
-        call ca_send(modeltime)
-#endif
-!
-! Save exchange variables to secondary history files.
-!
-      endif !mytid == 0
-      call cism_save
-      end subroutine export
-!-----------------------------------------------------------------------
-      subroutine finalize
-#if defined(INTERCOMM)
-      call ci_close
-#elif defined(CISMAH)
-      call ca_close
-#endif
-      end subroutine finalize
-!-----------------------------------------------------------------------
-      subroutine cism_save
-! This subroutine saves physical parameters that are either important to 
-! the M-I coupling physics or crucial for code debugging.
-!
-! Add these variables to secondary history file:
-!    1. high latitude potential form M-I coupler (2D)
-!    2. high latitude precipitation characteristic energy from M-I
-!       coupler (2D)
-!    3. high latitude precipitation particle number flux from M-I 
-!       coupler (2D)
-!    4. global height-integrated Pedersen conductance from dynamo.F 
-!       (2D,73,0:37)
-!    5. global height-integrated Hall conductanbce from dynamo.F
-!       (2D,73,0:37)
-!-----------------------------------------------------------------------
-      use params_module,only: nlonp1,nlon
-!      use fields_module,only: ped,hall,levd0,levd1
-!-----------------------------------------------------------------------
- 
-      call addfld('gpot','Potential from M-I Coupler (geographic)',' ', 
-     |     gpot, 'lon',1,nlonp4,  'lat',1,nlat,  0)
-      
-      call addfld("geng",'Energy from M-I Coupler', ' ',
-     |     geng, 'lon',1,nlonp4,  'lat',1,nlat,  0)
-      
-      call addfld("gflx",'Number Flux from M-I Coupler ', ' ', 
-     |     gflx, 'lon',1,nlonp4,  'lat',1,nlat,  0)
-
-      call addfld('gpotm','Potential from M-I Coupler (geographic)',' ', 
-     |     gpotm(:, 1:nlat), 'lon',1,nlonp4,  'lat',1,nlat,  0)
-
-      call addfld("gzigm1",'Pedersen Conductance (geographic)', ' ', 
-     |     gzigm1(lon0:lon1, lat0:lat1), 'lon',lon0,lon1, 'lat',
-     |     lat0,lat1,  0)
-      
-      call addfld("gzigm2",'Hall Conductance (geographic) ', ' ', 
-     |     gzigm2(lon0:lon1, lat0:lat1), 'lon',lon0,lon1, 'lat',
-     |     lat0,lat1,  0)
-
-      call addfld("gnsrhs",'Height-integrated neutral wind ', ' ', 
-     |     gnsrhs(lon0:lon1, lat0:lat1), 'lon',lon0,lon1, 'lat',
-     |     lat0,lat1,  0)
-      
-!
-! FIXME:  Something is wrong with these ped/hall addfld calls... 
-!         Maybe because lat/lon dims are wrong (off by +/- 4)?
-!         See r783 of this file for the original implementation.
-!
-!      call addfld("ped", 'Altitude profile of Pedersen Cond ', ' ', 
-!     |     ped, 'lev',levd0,levd1,  'lon',1,nlonp1,  nlat)      
-!      
-!      call addfld("hall", 'Altitue profile of Hall Cond. ', ' ', 
-!     |     hall, 'lev',levd0,levd1,  'lon',1,nlonp1,  nlat)
-      end subroutine cism_save
-!-----------------------------------------------------------------------
-      subroutine cism_ucurrent(rim1,rim2,mlon0,mlon1,mlat0,mlat1,nsrhs)
-!
-! 3/20/14 btf: This routine moved from old serial dynamo (where it was
-!   called after sub transf, and followed by 3 calls to mag2geo). 
-!   The call to this routine is now in pdynamo after sub complete_integrals, 
-!   however as of this date. 
-!
-! DESCRIPTION:
-!
-! This subroutine calculate height-integrated neutral wind generated
-! field-aligned current (dynamo) to be passed to the M-I coupler to
-! solve electric potential. This subroutine is based on the subroutine
-! 'nosocoef' in 'current.F' written by Astrid Maute.
-! The height-integrated neutral wind field-alined current is calculated in a
-! Quisi-Dipole Coordinate that is defined in detail in Richmond (1995). This
-! coordinate system removes the 1/|sinI_m| factor in the partial differential
-! equation for the electric potential in the Modified Apex Coordinate system.
-! 1/|sinI_m| is not defined at magnetic equator in the Modified Apex
-! Coordinate system, but is well defined in the Quisi-Dipole Coordinate system
-! (I still need to see how this works).
-! The neutral dynamo currents are already calculted in subroutine
-! 'fieldline-integrals' in the 'dynamo.F' as a global variable
-! 'rim(nmlonp1,nmlat,2)'. Subroutine 'rshpde' has the formula to calculate
-! height-integrated neutral wind current, but the current there is the sum
-! of two hemispheres. We want a global distribution of this current for the M-I
-! coupler. Thus the code here is an expanded version of that in "rhspde", but a
-! stripped version of "nosocoef". 'nosocoef' also calculates other
-! coefficients (lhs) for the potential equation to obtain total field-aligned currents
-! including both magnetosphere and thermosphere originated currents. We only need
-! thermospheric originated currents for the CISM M-I coupler.
-!
-! This subroutine is called by subroutine 'dynamo' after 'call transfer'
-! in 'dynamo.F'
-!                                                  ---------- Wenbin Wang 09/20/05
-! USES
-!
-      use cons_module,only: dlonm,dlatm,pi,r0
-      use mpi_module,only: mp_mag_periodic_f2d
-
-!
-! PARAMETERS:
-! RETURN VALUE: nsrhs(nmlonp1,nmlat)   ! defined as a global variable above
-!
-! !REVISION HISTORY:
-!
-! EOP
-!
-! Calculate height-integrated field-aligned neutral wind currents for both hemisphere
-!
-      real,intent(in) :: rim1(mlon0-1:mlon1+1,mlat0-1:mlat1+1),
-     |                      rim2(mlon0-1:mlon1+1,mlat0-1:mlat1+1)
-      integer,intent(in) :: mlon0,mlon1,mlat0,mlat1
-      real,intent(out) :: nsrhs(mlon0-1:mlon1+1,mlat0-1:mlat1+1)
-
-!
-! Local:
-!
-      real,parameter :: unitvm(nmlon)=1.
-      real :: cs(mlat0-1:mlat1+1)
-      real :: dfac
-      real :: fmsub(mlon0:mlon1,mlat0:mlat1)
-      real :: fpole_jpm2(nmlonp1,4) ! fields at S pole+1,2 and N pole-1,2
-      integer :: j,je,jj,i,n
-      integer mlon00,mlon11,mlat00,mlat11
-      integer latstart, latend
-!
-! Externals:
-!
-      real,external :: sddot ! in util.F
-!
-! Set halos indexes
-!
-      mlon00=mlon0-1 ; mlon11=mlon1+1
-      mlat00=mlat0-1 ; mlat11=mlat1+1
-!
-! Calculate coefficients for dynamo pde for both hemisphere
-!
-!
-! Clear arrays
-!
-      nsrhs(:,:)    = 0.0
-!
-! Calculate magnetic latitude cosin array
-!
-      do j = mlat00,mlat11     
-        cs(j) = cos(-pi/2.+(j-1)*dlatm)
-      enddo
-!
-! Calculate right hand side of pde from rim1 and rim2
-!
-      latstart=mlat0
-      latend=mlat1
-      if (latstart==1) then 
-        latstart=2
-      endif
-      if (latend==nmlat) then 
-        latend=nmlat-1
-      endif
-      do j = latstart,latend  
-        if (j == nmlath) cycle  ! skip equator
-        !
-        ! Differentiate rim(1) w.r.t lamda
-        !
-        do i = mlon0,mlon1
-          if (i /= 1 .and. i /= nmlonp1) then  ! Skip longitudinal boundaries
-            nsrhs(i,j)  = 1.0/(dlonm*cs(j))*
-     |                      0.5*(rim1(i+1,j)-rim1(i-1,j))
-          else ! Values at longitudinal boundaries
-            if (i==1) then
-              nsrhs(1,j)  = 1.0/(dlonm*cs(j))*
-     |                      0.5*(rim1(2,j)-rim1(0,j))
-            else
-              nsrhs(nmlonp1,j)  = 1.0/(dlonm*cs(j))*
-     |                      0.5*(rim1(mlon0,j)-rim1(nmlonp1-1,j))
-            endif
-          endif
-        enddo
-      enddo  ! j loop
-!
-! Differentiate rim(2) w.r.t theta0
-!
-      do j = mlat0,mlat1  ! south pole to north pole
-        if (j==1) then ! Calculate south pole value
-           nsrhs(mlon0,1)     = -2./float(nmlon)*
-     |               sddot(nmlon,unitvm,rim2(mlon0,2))/cs(2)
-           ! Extend over longitude
-           nsrhs(:,1) = nsrhs(mlon0,1)
-        elseif (j==nmlat) then ! Calculate calculate north pole value 
-           nsrhs(mlon0,nmlat) = -2./float(nmlon)*
-     |               sddot(nmlon,unitvm,rim2(mlon0,nmlat-1))/cs(mlat0-1)
-           ! Extend over longitude
-           nsrhs(:,nmlat) = nsrhs(mlon0,nmlat)
-         elseif (j==nmlath) then ! Calculate equator values
-           do i=mlon0,mlon1
-             if (i==1) then
-               nsrhs(i,j) = 0.5/dlonm*(rim1(i+1,j)-rim1(i-1,j))
-               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
-     |                 rim2(i,j)+ cs(j+1)*rim2(i,j+1))
-             elseif (i==nmlonp1) then
-               nsrhs(i,j) = 0.5/dlonm*(rim1(nmlonp1+1,j)-rim1(i-1,j))
-               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
-     |                 rim2(i,j)+ cs(j+1)*rim2(i,j+1))
-             else
-               nsrhs(i,j) = 0.5/dlonm*(rim1(i+1,j)-rim1(i-1,j))
-               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
-     |                    rim2(i,j)+ cs(j+1)*rim2(i,j+1))
-             endif
-
-           enddo
-
-         elseif (j<nmlath) then !calculate south pole to equator
-           do i = mlon0,mlon1
-             nsrhs(i,j)  = nsrhs(i,j) - 1.0/(dlatm*cs(j))*0.5*
-     |               (rim2(i,j+1)*cs(j+1)-rim2(i,j-1)*cs(j-1))
-           enddo
-         else !calculate north pole to equator
-           do i = mlon0,mlon1
-             nsrhs(i,j) = nsrhs(i,j) + 1.0/(dlatm*cs(j))*0.5*
-     |               (rim2(i,j+1)*cs(j+1)-rim2(i,j-1)*cs(j-1))
-           enddo
-         endif
-      enddo
-!
-! Periodic points
-!
-      fmsub(:,:)=nsrhs(mlon0:mlon1,mlat0:mlat1)
-      call mp_mag_periodic_f2d(fmsub,mlon0,mlon1,mlat0,mlat1,1)
-
-      nsrhs(mlon0:mlon1,mlat0:mlat1) = fmsub(:,:)
-!
-! Scale rhs by refernce radius (R_E + H0) in meters dfac = r0*1e-2
-!
-      dfac = r0*1.0e-2
-      nsrhs(:,:) = -1.*nsrhs(:,:)/dfac
-!
-      end subroutine cism_ucurrent
-!-----------------------------------------------------------------------
-      end module cism_coupling_module
-!-----------------------------------------------------------------------
-#else
-!-----------------------------------------------------------------------
-      ! Intel Fortran compiler chokes on empty source files.  
-      ! This subroutine is empty so this file will have SOMETHING in it
-      subroutine cism_coupling_null
-      end subroutine cism_coupling_null
-!-----------------------------------------------------------------------
-#endif
diff --git a/src/cism_intercomm.F b/src/cism_intercomm.F
deleted file mode 100644
index adaccf0..0000000
--- a/src/cism_intercomm.F
+++ /dev/null
@@ -1,157 +0,0 @@
-#ifdef INTERCOMM
-!-----------------------------------------------------------------------
-!
-! Functions for using InterComm coupling in CISM_LTR
-!
-!-----------------------------------------------------------------------
-      subroutine ci_init
-! ... Shared Module variables ..........................................
-      use cism_coupling_module,only: 
-     |     nlat,
-     |     nlonp1,
-     |     ting_pot_interp,
-     |     ting_eng_interp,
-     |     ting_flux_interp,
-     |     ting_ped, 
-     |     ting_hall, 
-     |     ting_gnsrhs, 
-     |     xjd      ! XJD handle
-      use mpi_module,only: mytid
-! ... Local variables ..................................................
-      integer status ! InterComm Status flag
-
-      ! IC_Create_bdecomp_desc variables:
-      integer iaBlocks2d(1,2,2), tasks(1), iDesc2d
-
-      ! IC_Create_block_region variables:
-      integer iaLower2d(2), iaUpper2d(2), iaStride2d(2), iRegion2d
-! ... Begin ............................................................
-      write(*,"(A,I1,A)") "TIEGCM (", mytid,"): IC_Initialize"
-      call IC_Initialize("tiegcm", mytid, "cmit.xjd", xjd, status)
-      call handle_IC_error("cism_intercomm.F::IC_Initialize", status)
-
-      ! Describe global block data decomposition.
-      ! For TIEGCM, all data should be communicated via process 0
-      tasks(1) = 0
-      iaBlocks2d(1,1,1) = 1
-      iaBlocks2d(1,2,1) = nlat
-      iaBlocks2d(1,1,2) = 1
-      iaBlocks2d(1,2,2) = nlonp1
-
-      call IC_Create_bdecomp_desc(2, iaBlocks2d, tasks, 1, iDesc2d, 1)
-      !  IC_ROW_MAJOR = 0                                          ^^^
-      !  IC_COLUMN_MAJOR  = 1                                      ^^^
-
-      iaLower2d(1) = 1
-      iaLower2d(2) = 1
-      iaUpper2d(1) = nlat
-      iaUpper2d(2) = nlonp1
-      iaStride2d(1) = 1
-      iaStride2d(2) = 1
-      call IC_Create_block_region(2, iaLower2d, iaUpper2d, 
-     |                            iaStride2d, iRegion2d)
-      
-
-      ! Register the "receive" arrays:
-      call IC_Register_region(xjd, iRegion2d, 1, "cpl-itm_potential", 
-     $     iDesc2d, ting_pot_interp, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...pot...)", status)
-      call IC_Register_region(xjd, iRegion2d, 1, "cpl-itm_energy", 
-     $     iDesc2d, ting_eng_interp, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...eng...)", status)
-      call IC_Register_region(xjd, iRegion2d, 1, "cpl-itm_flux", 
-     $     iDesc2d, ting_flux_interp, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...flux...)", status)
-
-      ! Register the "send" arrays:
-      call IC_Register_region(xjd, iRegion2d, 1, "itm-cpl_pedersen", 
-     $     iDesc2d, ting_ped, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...ped...)", status)
-      call IC_Register_region(xjd, iRegion2d, 1, "itm-cpl_hall", 
-     $     iDesc2d, ting_hall, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...hall...)", status)
-      call IC_Register_region(xjd, iRegion2d, 1, "itm-cpl_wfac", 
-     $     iDesc2d, ting_gnsrhs, status)
-      call handle_IC_error(
-     $     "cism_intercomm.F::IC_Register_region(...wfac...)", status)
-
-      ! Commit all the regions:
-      call IC_Commit_region(xjd, status)
-      call handle_IC_error("cism_intercomm.F::IC_Commit_region", status)
-
-      end subroutine ci_init
-!-----------------------------------------------------------------------
-      subroutine ci_close
-! ... Shared Module variables ..........................................
-      use cism_coupling_module,only: xjd
-! ... Local Variables ..................................................
-      integer status
-! ... Begin ............................................................
-      call IC_Finalize(xjd, status)
-      call handle_IC_error("cism_intercomm.F::IC_Finalize", status)
-      end subroutine ci_close
-!-----------------------------------------------------------------------
-      subroutine ci_receive
-! ... Shared Module variables ..........................................
-      use cism_coupling_module,only: 
-     |     xjd      ! XJD handle
-! ... Local Variables ..................................................
-      integer status
-! ... Begin ............................................................
-      call IC_Import(xjd, "cpl-itm_potential", status)
-      call handle_IC_error("cism_intercomm.F::IC_Import(...pot...)", 
-     |     status)
-      call IC_Import(xjd, "cpl-itm_energy", status)
-      call handle_IC_error("cism_intercomm.F::IC_Import(...eng...)", 
-     |     status)
-      call IC_Import(xjd, "cpl-itm_flux", status)
-      call handle_IC_error("cism_intercomm.F::IC_Import(...flux...)",
-     |     status)
-
-      end subroutine ci_receive
-!-----------------------------------------------------------------------
-      subroutine ci_send(modeltime)
-! ... Shared Module variables ..........................................
-      use cism_coupling_module,only: xjd
-! ... Local Variables ..................................................
-      integer status
-! ... Parameter variables ..............................................
-      integer, intent(in) :: modeltime(4)      
-! ... Begin ............................................................
-      call IC_Export(xjd, "itm-cpl_pedersen", status)
-      call handle_IC_error("cism_intercomm.F::IC_Export(...ped...)",
-     |     status)
-      call IC_Export(xjd, "itm-cpl_hall", status)
-      call handle_IC_error("cism_intercomm.F::IC_Export(...hall...)",
-     |     status)
-      call IC_Export(xjd, "itm-cpl_wfac", status)
-      call handle_IC_error("cism_intercomm.F::IC_Export(...wfac...)",
-     |     status)
-
-      end subroutine ci_send
-!-----------------------------------------------------------------------
-      subroutine handle_IC_error(message, status)
-
-      character message*(*)
-      integer status
-
-      if ( status .ne. 0 ) then
-         write(*,"(A, A)") "Error in ", message
-         write(*,"(A, I5)") "Status code: ", status
-      end if
-
-      end subroutine
-!-----------------------------------------------------------------------
-#else
-!-----------------------------------------------------------------------
-      ! Intel Fortran compiler chokes on empty source files.  
-      ! This subroutine is empty so this file will have SOMETHING in it
-      subroutine intercomm_null
-      end subroutine intercomm_null
-!-----------------------------------------------------------------------
-#endif
diff --git a/src/colath.F b/src/colath.F
index 0749c9d..e6d64e7 100644
--- a/src/colath.F
+++ b/src/colath.F
@@ -14,6 +14,7 @@ subroutine colath
      |  ylonm,ylatm  ! magnetic grid lons, lats
       use pdynamo_module,only: nmlat0,pfrac ! pfrac is output
       use params_module,only: nmlonp1
+      use mage_coupling_module,only: aurllbN,aurllbS ! colat in degrees
       
       implicit none
 !
@@ -22,12 +23,20 @@ subroutine colath
       real :: sinlat,coslat,aslonc,ofdc,cosofc,sinofc,crit1deg
       real,dimension(nmlonp1,nmlat0) :: colatc
 
+#ifdef GAMERA
+! Lin, 09/2021: Use dynamic auroral boundary defined by the lowest lat where numflux<1e6
+      crit(1) = (max(aurllbN,aurllbS)+5.)/rtd
+! Lin, 10/2021: using 5 deg wide merging zone tends to
+! produce artificial eastward wind and drift bands at mid latitudes
+      crit(2) = crit(1)+10./rtd
+#else
 ! 01/11 bae:  Revise crit in rad so crit(1)=theta0(=crad in rad)+5deg, crit(2)=crit(1)+15deg
         crit1deg = max(15.,0.5*(theta0(1)+theta0(2))*rtd + 5.)
         crit1deg = min(30.,crit1deg)
 ! To make the same as in cons.F, comment out next line
         crit(1) = crit1deg/rtd
         crit(2) = crit(1) + 15./rtd
+#endif
 !
 ! offc(2), dskofc(2) are for northern hemisphere aurora (see aurora.F)
 ! 01/11 bae:  Revised so that use average of both hemispheres instead of NH only
diff --git a/src/comp.F b/src/comp.F
index bc1750e..bbf29d4 100644
--- a/src/comp.F
+++ b/src/comp.F
@@ -1,7 +1,7 @@
 !
-      subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
-     |                hdo1,hdhe,o2_upd,o2nm_upd,o1_upd,o1nm_upd,he_upd,
-     |                henm_upd,lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,w,mbar,
+     |                hdo2,hdo1,hdhe,o2_upd,o2nm_upd,o1_upd,o1nm_upd,
+     |                he_upd,henm_upd,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -9,17 +9,16 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
 !
 ! Advance major species O2 and O.
 !
-      use params_module,only: dz,nlonp4,nlat,dlat,nlon,glat
+      use params_module,only: dz,nlonp4,dlat,nlon,glat
       use init_module,only: iday
       use cons_module,only: pi,hor,dtr,rmassinv_o2,rmassinv_o1,
      |  rmassinv_he,rmassinv_n2,rmass_o2,rmass_o1,rmass_he,expz,expzmid,
      |  expzmid_inv,difk,dtx2inv,dtsmooth,dtsmooth_div2,difhor,
-     |  gask,grav,re,p0,sqrtpi
+     |  gask,grav,re,p0
       use chemrates_module,only: fs ! from sub comp_o2o
       use lbc,only: b,fb
       use fields_module,only: tlbc
       use addfld_module,only: addfld
-      use diags_module,only: mkdiag_O_N2,mkdiag_N2
       use input_module,only: calc_helium
       implicit none
 !
@@ -33,16 +32,12 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
      |  o2_nm,! O2 (mmr) at time n-1
      |  o1_nm,! O  (mmr) at time n-1
      |  he_nm,! He (mmr) at time n-1
-     |  un,   ! zonal wind velocity at current timestep
-     |  vn,   ! meridional wind velocity at current timestep
      |  w,    ! vertical velocity at current timestep
+     |  mbar, ! mean molecular weight
      |  hdo2, ! O2 horizontal diffusion (hdif3)
      |  hdo1, ! O  horizontal diffusion (hdif3)
      |  hdhe  ! He horizontal diffusion (hdif3)
 !
-! N2 (mmr) is input, but is also updated from new o2,o,he.
-      real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
-     |  intent(inout) :: n2 
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
      |  intent(out)::
      |  o2_upd,  o1_upd,  he_upd,  ! output: O2,O,He updated for next timestep
@@ -54,20 +49,18 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
       integer,parameter :: io2=1,io1=2,ihe=3 ! indices to O2, O, He respectively
       real,dimension(lon0:lon1,lev0:lev1,3,3) :: gama
       real,dimension(lon0:lon1,lev0:lev1,3)   :: zz
-      real,dimension(1,lon0-2:lon1+2,lat0-2:lat1+2) :: flx_he_filt
-      real,dimension(lon0:lon1,lat0:lat1)     :: flx_he,flx_arg, ! Helium Mass Flux at upper boundary
-     |                                           flx_he_lat,flx_he_lon
+      real,dimension(lon0:lon1,lat0:lat1)     :: flx_he,flx_arg  ! Helium Mass Flux at upper boundary
       real,dimension(lon0:lon1,lev0:lev1)     :: embar
       real,dimension(lon0:lon1,3,3,2)         :: ak
-      real,dimension(lon0:lon1,3,3)           :: ep,pk,qk,rk,wkm1,wkm2
-      real,dimension(lon0:lon1,3)             :: fk,wkv1,wkv2,ps0
-      real,dimension(lon0:lon1)               :: wks1,wks2,wks3,wks4,
+      real,dimension(lon0:lon1,3,3)           :: ep,pk,qk,rk,wkm1
+      real,dimension(lon0:lon1,3)             :: fk,wkv1,ps0
+      real,dimension(lon0:lon1)               :: wks1,wks3,wks4,
      |                                           embar0,dfactor,detalpha
       real,dimension(lon0:lon1)               :: alpha23,alpha22,
      |                                           alpha33,alpha32,flx00
       real :: rlat
-      real :: alpha(3,3),phi(3,4),delta(3,3),tau,t00,small,small_he
-      real :: normalize,thdiffalpha
+      real :: alpha(3,3),phi(3,4),delta(3,3),tau,t00,small
+      real :: n2,n2nm,normalize,thdiffalpha
       real :: flxwks
       real,dimension(lev0:lev1,lon0:lon1,lat0:lat1) ::
      |  o2nm_smooth, o1nm_smooth, henm_smooth, ! smoothed at time n-1
@@ -95,7 +88,6 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
       delta(:,3)=(/0.,0.,1./)
       t00=273.
       small = 1.e-6
-      small_he = 1.e-9 ! he is small at lower boundary
       i0=lon0 ; i1=lon1 ; k0=lev0 ; k1=lev1
 !
       nk = lev1-lev0+1
@@ -110,12 +102,8 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
      |  sqrt(0.5*gask**3*rmassinv_he**5/pi)/(re*grav)**2 ! factor of 1/4 arise from averaging mbar and he
       do lat=lat0,lat1
         do i=lon0,lon1
-          embar(i,lev1) = 1./(o2(lev1,i,lat)*rmassinv_o2 +
-     |      o1(lev1,i,lat)*rmassinv_o1+he(lev1,i,lat)*rmassinv_he +
-     |      n2(lev1,i,lat)*rmassinv_n2)
-          embar(i,lev1-1) = 1./(o2(lev1-1,i,lat)*rmassinv_o2+
-     |      o1(lev1-1,i,lat)*rmassinv_o1+he(lev1-1,i,lat)*rmassinv_he+
-     |      n2(lev1-1,i,lat)*rmassinv_n2)
+          embar(i,lev1) = mbar(lev1,i,lat)
+          embar(i,lev1-1) = mbar(lev1-1,i,lat)
           flx_arg(i,lat) = flxwks*(1.+tn(lev1-1,i,lat)/3330.)*
      |      (embar(i,lev1)+embar(i,lev1-1))*(tn(lev1-1,i,lat)**1.5)*
      |      (he(lev1,i,lat)+he(lev1-1,i,lat))
@@ -134,15 +122,13 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
      |    lat0,lat1,0)
 
       else
-        he_upd = 0.   ! 3d whole array op
-        henm_upd = 0. ! 3d whole array op
         flx_he=0.     ! 2d whole array op
       endif
 !
 ! Calculate and save horizontal advection in o2_advec, o1_advec, he_advec:
 !
       do lat=lat0,lat1
-        call advecl(o2,o1,he,un,vn,o2_advec,o1_advec,he_advec,
+        call advecl(o2,o1,he,o2_advec,o1_advec,he_advec,
      |    lev0,lev1,lon0,lon1,lat0,lat1,lat)
       enddo ! lat=lat0,lat1
 !
@@ -216,10 +202,7 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
 ! Embar:
       do i=lon0,lon1
         do k=lev0,lev1
-          embar(i,k) = 1./(o2(k,i,lat)*rmassinv_o2 + 
-     |                     o1(k,i,lat)*rmassinv_o1 +
-     |                     he(k,i,lat)*rmassinv_he +
-     |                     n2(k,i,lat)*rmassinv_n2)
+          embar(i,k) = mbar(k,i,lat)
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 
@@ -848,7 +831,7 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
       do k=lev0,lev1
         o2_upd(k,lon0:lon1,lat) = upd(k,:,io2)
         o1_upd(k,lon0:lon1,lat) = upd(k,:,io1)
-        if (calc_helium==1) he_upd(k,lon0:lon1,lat) = upd(k,:,ihe)
+        he_upd(k,lon0:lon1,lat) = upd(k,:,ihe)
       enddo ! k=lev0,lev1
 !
 ! Upper boundary:
@@ -862,15 +845,11 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
      |    (1.-.5*ep(i,io1,kp)*dz)*o1_upd(lev1-1,i,lat)+
      |    (alpha23(i)-alpha22(i))*flx_he(i,lat)/
      |    (flx00(i)*(1./dz-0.5*ep(i,io1,kp)))
-!
-! Calculate updated helium only if namelist calc_helium == 1:
-        if (calc_helium == 1) then
-          he_upd(lev1,i,lat) = 
-     |      (1.+.5*ep(i,ihe,kp)*dz)/
-     |      (1.-.5*ep(i,ihe,kp)*dz)*he_upd(lev1-1,i,lat)+
-     |      (alpha33(i)-alpha32(i))*flx_he(i,lat)/
-     |      (flx00(i)*(1./dz-0.5*ep(i,ihe,kp)))
-        endif
+        he_upd(lev1,i,lat) = 
+     |    (1.+.5*ep(i,ihe,kp)*dz)/
+     |    (1.-.5*ep(i,ihe,kp)*dz)*he_upd(lev1-1,i,lat)+
+     |    (alpha33(i)-alpha32(i))*flx_he(i,lat)/
+     |    (flx00(i)*(1./dz-0.5*ep(i,ihe,kp)))
       enddo ! i=lon0,lon1
 !
 !       call addfld('O2_SOLV',' ',' ',o2_upd(:,lon0:lon1,lat),
@@ -882,14 +861,18 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
 !
 ! End latitude scan:
       enddo ! lat=lat0,lat1
+!
+      if (calc_helium == 0) then
+        he_upd = small   ! 3d whole array op
+        henm_upd = small ! 3d whole array op
+      endif
 !
 ! Filter the new composition species:
 !
 ! Fourier smoothing of O2 and O:
       call filter_o2o(o2_upd,lev0,lev1,lon0,lon1,lat0,lat1)
       call filter_o2o(o1_upd,lev0,lev1,lon0,lon1,lat0,lat1)
-      if (calc_helium == 1)
-     |  call filter_o2o(he_upd,lev0,lev1,lon0,lon1,lat0,lat1)
+      call filter_o2o(he_upd,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Resume latitude scan:
       do lat=lat0,lat1
@@ -905,12 +888,8 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
      |        o2_upd(k,i,lat)) + dtsmooth*o2(k,i,lat)
             o1nm_upd(k,i,lat) = dtsmooth_div2*(o1_nm(k,i,lat)+
      |        o1_upd(k,i,lat)) + dtsmooth*o1(k,i,lat)
-!
-! Zero out helium at time t-1 if requested:
-            if (calc_helium==1) then
-              henm_upd(k,i,lat) = dtsmooth_div2*(he_nm(k,i,lat)+
-     |          he_upd(k,i,lat)) + dtsmooth*he(k,i,lat)
-            endif
+            henm_upd(k,i,lat) = dtsmooth_div2*(he_nm(k,i,lat)+
+     |        he_upd(k,i,lat)) + dtsmooth*he(k,i,lat)
           enddo ! k=lev0,lev1-1
         enddo ! i=lon0,lon1 
 
@@ -920,75 +899,51 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
 !    |    'lev',k0,k1,'lon',i0,i1,lat)
 
       enddo ! lat=lat0,lat1
-#ifdef MPI
 !
 ! Periodic points:
 !     call mp_periodic_f3d(o2_upd(:,lon0:lon1,lat0-1:lat1+1),
 !    |  lev0,lev1,lon0,lon1,lat0-1,lat1+1)
 !     call mp_periodic_f3d(o1_upd(:,lon0:lon1,lat0-1:lat1+1),
 !    |  lev0,lev1,lon0,lon1,lat0-1,lat1+1)
-#endif
 !
 ! Insure non-negative O2,O:
       do lat=lat0,lat1
         do i=lon0,lon1
           do k=lev0,lev1
+            n2 = 1.-o2_upd(k,i,lat)-o1_upd(k,i,lat)-he_upd(k,i,lat)
+            n2nm =
+     |        1.-o2nm_upd(k,i,lat)-o1nm_upd(k,i,lat)-henm_upd(k,i,lat)
+!
             if (o2_upd(k,i,lat) < small) o2_upd(k,i,lat) = small
             if (o1_upd(k,i,lat) < small) o1_upd(k,i,lat) = small
-            if (calc_helium==1) then
-              if (he_upd(k,i,lat) < small_he) he_upd(k,i,lat) = small_he
-            endif
+            if (he_upd(k,i,lat) < small) he_upd(k,i,lat) = small
+            if (n2 < small) n2 = small
+!
             if (o2nm_upd(k,i,lat) < small) o2nm_upd(k,i,lat) = small
             if (o1nm_upd(k,i,lat) < small) o1nm_upd(k,i,lat) = small
-            if (calc_helium==1) then
-              if (henm_upd(k,i,lat) < small_he)
-     |          henm_upd(k,i,lat) = small_he
-            endif
-            if (1.-small-o2_upd(k,i,lat)-o1_upd(k,i,lat)-
-     |          he_upd(k,i,lat) < 0.) then
-              normalize = (o2_upd(k,i,lat)+o1_upd(k,i,lat)+
-     |                    he_upd(k,i,lat))                   
+            if (henm_upd(k,i,lat) < small) henm_upd(k,i,lat) = small
+            if (n2nm < small) n2nm = small
 !
 ! EKS comment: divisor should be the same when normalizing
 ! both o2 and o1 to insure non-negativity
 !
-              o2_upd(k,i,lat) = o2_upd(k,i,lat)*(1.-small)/  
-     |                          normalize
-              o1_upd(k,i,lat) = o1_upd(k,i,lat)*(1.-small)/
-     |                          normalize
-              if (calc_helium==1) then
-                he_upd(k,i,lat) = he_upd(k,i,lat)*(1.-small)/
-     |                          normalize
-              endif
-            endif
-            if (1.-small-o2nm_upd(k,i,lat)-o1nm_upd(k,i,lat)-
-     |          henm_upd(k,i,lat) < 0.) then
-              normalize = (o2nm_upd(k,i,lat)+o1nm_upd(k,i,lat)+ 
-     |                    henm_upd(k,i,lat))
-              o2nm_upd(k,i,lat) = o2nm_upd(k,i,lat)*(1.-small)/
-     |                            normalize
-              o1nm_upd(k,i,lat) = o1nm_upd(k,i,lat)*(1.-small)/
-     |                            normalize
-              if (calc_helium==1) then
-                henm_upd(k,i,lat) = henm_upd(k,i,lat)*(1.-small)/
-     |                            normalize
-              endif
+            normalize =
+     |        o2_upd(k,i,lat)+o1_upd(k,i,lat)+he_upd(k,i,lat)+n2
+            if (normalize > 1.) then
+              o2_upd(k,i,lat) = o2_upd(k,i,lat)/normalize
+              o1_upd(k,i,lat) = o1_upd(k,i,lat)/normalize
+              he_upd(k,i,lat) = he_upd(k,i,lat)/normalize
             endif
 !
-! Update N2. This is necessary only if n2 is to be saved on
-! secondary history (it will be updated in addiag for next timestep). 
-            n2(k,i,lat) = (1.-o2_upd(k,i,lat)-o1_upd(k,i,lat)-
-     |                     he_upd(k,i,lat))
+            normalize =
+     |        o2nm_upd(k,i,lat)+o1nm_upd(k,i,lat)+henm_upd(k,i,lat)+n2nm
+            if (normalize > 1.) then
+              o2nm_upd(k,i,lat) = o2nm_upd(k,i,lat)/normalize
+              o1nm_upd(k,i,lat) = o1nm_upd(k,i,lat)/normalize
+              henm_upd(k,i,lat) = henm_upd(k,i,lat)/normalize
+            endif
           enddo ! k=lev0,lev1
         enddo ! i=lon0,lon1
-!
-! Provide diagnostics N2 and O/N2:
-!
-        call mkdiag_O_N2('O_N2',o1_upd(:,lon0:lon1,lat),
-     |    o2_upd(:,lon0:lon1,lat),n2(:,lon0:lon1,lat),
-     |    lev0,lev1,lon0,lon1,lat)
-
-        call mkdiag_N2('N2',n2(:,lon0:lon1,lat),lev0,lev1,lon0,lon1,lat)
 
 !       call addfld('O2_OUT',' ',' ',o2_upd(:,i0:i1,lat),
 !    |    'lev',k0,k1,'lon',i0,i1,lat)
@@ -1002,83 +957,41 @@ subroutine comp(tn,o2,o2_nm,o1,o1_nm,he,he_nm,n2,un,vn,w,hdo2,
       enddo ! lat=lat0,lat1
       end subroutine comp
 !-----------------------------------------------------------------------
-      subroutine advecl(o2,o1,he,un,vn,o2_advec,o1_advec,he_advec,
+      subroutine advecl(o2,o1,he,o2_advec,o1_advec,he_advec,
      |  lev0,lev1,lon0,lon1,lat0,lat1,lat)
 !
-! Horizontal advection for O2,O. 
+! Horizontal advection for O2,O,He. 
 ! In previous versions, this was sub advecl (inline.F), called from 
 !   k-loop in comp.F. Here it is called from beginning of comp.F at 
 !   all latitudes and saved for later use (fk) inside comp.F k-loop.
 ! o2,o1,he,un,vn already have i-2,i-1,i+1,i+2, and j-1,j-2,j+1,j+2 for 
 !   finite differencing.
 !
-      use cons_module,only: dlamda_2div3 ,dlamda_1div12, dphi_2div3,
-     |  dphi_1div12,re_inv,racs
       implicit none
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),intent(in)::
-     |  o2,o1,he,un,vn
+     |  o2,o1,he
       real,dimension(lev0:lev1,lon0:lon1,lat0:lat1),intent(out) ::
      |  o2_advec, o1_advec, he_advec
 !
-! Local:
-      integer :: k,i
+      call advec(o2(:,:,lat-2:lat+2),o2_advec(:,:,lat),
+     |  lev0,lev1,lon0,lon1,lat)
+      call advec(o1(:,:,lat-2:lat+2),o1_advec(:,:,lat),
+     |  lev0,lev1,lon0,lon1,lat)
+      call advec(he(:,:,lat-2:lat+2),he_advec(:,:,lat),
+     |  lev0,lev1,lon0,lon1,lat)
 !
-      do k=lev0,lev1-1
-        do i=lon0,lon1
-          o2_advec(k,i,lat) = .5*racs(lat)*
-     |      (dlamda_2div3*(o2(k,i+1,lat)-o2(k,i-1,lat))*
-     |      (un(k,i+1,lat)+un(k,i-1,lat))-
-     |      dlamda_1div12*(o2(k,i+2,lat)-o2(k,i-2,lat))*
-     |      (un(k,i+2,lat)+un(k,i-2,lat)))+
-     |      .5*re_inv*
-     |      (dphi_2div3*(o2(k,i,lat+1)-o2(k,i,lat-1))*
-     |      (vn(k,i,lat+1)+vn(k,i,lat-1))-
-     |      dphi_1div12*(o2(k,i,lat+2)-o2(k,i,lat-2))*
-     |      (vn(k,i,lat+2)+vn(k,i,lat-2)))
-
-          o1_advec(k,i,lat) = .5*racs(lat)*
-     |      (dlamda_2div3*(o1(k,i+1,lat)-o1(k,i-1,lat))*
-     |      (un(k,i+1,lat)+un(k,i-1,lat))-
-     |      dlamda_1div12*(o1(k,i+2,lat)-o1(k,i-2,lat))*
-     |      (un(k,i+2,lat)+un(k,i-2,lat)))+
-     |      .5*re_inv*
-     |      (dphi_2div3*(o1(k,i,lat+1)-o1(k,i,lat-1))*
-     |      (vn(k,i,lat+1)+vn(k,i,lat-1))-
-     |      dphi_1div12*(o1(k,i,lat+2)-o1(k,i,lat-2))*
-     |      (vn(k,i,lat+2)+vn(k,i,lat-2)))
-
-          he_advec(k,i,lat) = .5*racs(lat)*
-     |      (dlamda_2div3*(he(k,i+1,lat)-he(k,i-1,lat))*
-     |      (un(k,i+1,lat)+un(k,i-1,lat))-
-     |      dlamda_1div12*(he(k,i+2,lat)-he(k,i-2,lat))*
-     |      (un(k,i+2,lat)+un(k,i-2,lat)))+
-     |      .5*re_inv*
-     |      (dphi_2div3*(he(k,i,lat+1)-he(k,i,lat-1))*
-     |      (vn(k,i,lat+1)+vn(k,i,lat-1))-
-     |      dphi_1div12*(he(k,i,lat+2)-he(k,i,lat-2))*
-     |      (vn(k,i,lat+2)+vn(k,i,lat-2)))
-        enddo ! i=lon0,lon1
-      enddo ! k=lev0,lev1-1
-
       end subroutine advecl
 !-----------------------------------------------------------------------
       subroutine filter_o2o(fout,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Filter updated W omega:
 !
-      use params_module,only: nlat,nlonp4,nlon
-      use filter_module,only: filter
-      use cons_module,only: kut ! kut(nlat)
-#ifdef MPI
+      use params_module,only: nlonp4
       use mpi_module,only: mp_gatherlons_f3d,mp_scatterlons_f3d,mytidi
       implicit none
-#else
-      implicit none
-      integer :: mytidi=0
-#endif
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
@@ -1091,9 +1004,8 @@ subroutine filter_o2o(fout,lev0,lev1,lon0,lon1,lat0,lat1)
 #endif
 !
 ! Local:
-      integer :: i,j,nlevs,nlons,nlats
+      integer :: i,j,nlevs,nlons,nlats,ier
       real :: fik(nlonp4,lev0:lev1),fkij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 131 ; state = 'filter_o2o' ; activity='Filtering'
@@ -1112,14 +1024,11 @@ subroutine filter_o2o(fout,lev0,lev1,lon0,lon1,lat0,lat1)
         enddo
       enddo ! j=lat0,lat1
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0 
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(fkij,lev0,lev1,lon0,lon1,lat0,lat1,1,'O2O')
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
       if (mytidi==0) then
@@ -1130,9 +1039,7 @@ subroutine filter_o2o(fout,lev0,lev1,lon0,lon1,lat0,lat1)
             fik(i,:) = fkij(:,i,j)
           enddo ! i=1,nlonp4
 !
-! Remove wave numbers > kut(lat):
-          call filter(fik,lev0,lev1,kut(j),j) ! tiegcm
-!         call filter2(fik,lev0,lev1,j)       ! timegcm
+          call ringfilter(fik,lev0,lev1,1,'O2O',j)
 !
 ! Return filtered array to fkij:
           do i=1,nlonp4
@@ -1140,14 +1047,12 @@ subroutine filter_o2o(fout,lev0,lev1,lon0,lon1,lat0,lat1)
           enddo ! i=1,nlonp4
         enddo latscan ! j=lat0,lat1
       endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
 !
       call mp_scatterlons_f3d(fkij,lev0,lev1,lon0,lon1,lat0,lat1,1,
      |  'O2O')
-#endif
 !
 ! Return filtered array to fout at current task longitudes and latitudes:
       do j=lat0,lat1
diff --git a/src/comp_ar.F b/src/comp_ar.F
index ec74d8a..1c45f66 100644
--- a/src/comp_ar.F
+++ b/src/comp_ar.F
@@ -1,4 +1,3 @@
-#include <defs.h>
       module ar_module
 !
 ! Advance argon by one time step.
@@ -22,51 +21,14 @@ module ar_module
      |  ar_prod,     ! production of argon (k,i,j)
      |  ar_loss      ! loss of argon       (k,i,j)
 !
-#if (NLEV==28)
-!
-! Initial condition for argon at 5.0-deg resolution. This is used 
-! to expediate equilibration of argon when it is not on the
-! source history (i.e., is zero on startup). These data were 
-! obtained from a run of the glbmean model (Aug, 2014).
-!
-      real,parameter :: ar_glbm(nlevp1) = (/
-     | 1.164e-02, 1.074e-02, 9.443e-03, 7.905e-03, 6.342e-03,
-     | 4.927e-03, 3.737e-03, 2.776e-03, 2.017e-03, 1.430e-03,
-     | 9.855e-04, 6.575e-04, 4.229e-04, 2.613e-04, 1.548e-04,
-     | 8.797e-05, 4.806e-05, 2.535e-05, 1.298e-05, 6.488e-06,
-     | 3.184e-06, 1.541e-06, 7.381e-07, 3.511e-07, 1.662e-07,
-     | 7.840e-08, 3.689e-08, 1.733e-08, 7.436e-09 /)
-
-#elif (NLEV==56)
-!
-! Initial condition for argon at 2.5-deg resolution. This is used 
-! to expediate equilibration of argon when it is not on the
-! source history (i.e., is zero on startup). These data were 
-! obtained from a run of the glbmean model (Aug, 2014).
-!
-      real,parameter :: ar_glbm(nlevp1) = (/
-     | 1.164e-02, 1.124e-02, 1.074e-02, 1.013e-02, 9.443e-03,
-     | 8.691e-03, 7.905e-03, 7.114e-03, 6.342e-03, 5.609e-03,
-     | 4.927e-03, 4.302e-03, 3.737e-03, 3.229e-03, 2.776e-03,
-     | 2.373e-03, 2.017e-03, 1.704e-03, 1.430e-03, 1.192e-03,
-     | 9.855e-04, 8.084e-04, 6.575e-04, 5.298e-04, 4.229e-04,
-     | 3.341e-04, 2.613e-04, 2.022e-04, 1.548e-04, 1.173e-04,
-     | 8.797e-05, 6.533e-05, 4.806e-05, 3.505e-05, 2.535e-05,
-     | 1.820e-05, 1.298e-05, 9.201e-06, 6.488e-06, 4.554e-06,
-     | 3.184e-06, 2.218e-06, 1.541e-06, 1.068e-06, 7.381e-07,
-     | 5.095e-07, 3.511e-07, 2.417e-07, 1.662e-07, 1.142e-07,
-     | 7.840e-08, 5.380e-08, 3.689e-08, 2.529e-08, 1.733e-08,
-     | 1.188e-08, 7.436e-09 /)
-#endif
+      real,dimension(nlevp1) :: ar_glbm
 !
       contains
 !-----------------------------------------------------------------------
-      subroutine comp_ar(ar,lev0,lev1,lon0,lon1,lat)
+      subroutine comp_ar(lon0,lon1,lat)
 !
 ! Input args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
-      real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  ar           ! argon from previous step
+      integer,intent(in) :: lon0,lon1,lat
 !
 ! Local:
       integer :: i
@@ -88,8 +50,8 @@ subroutine comp_ar(ar,lev0,lev1,lon0,lon1,lat)
 
       end subroutine comp_ar
 !-----------------------------------------------------------------------
-      subroutine minor_ar(tn,o2,o1,n2,he,ar,ar_nm,ar_out,arnm_out,
-     |  lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine minor_ar(tn,o2,o1,he,mbar,barm,xnmbar,w,ar,ar_nm,
+     |  ar_out,arnm_out,lev0,lev1,lon0,lon1,lat0,lat1)
       use cons_module,only: rmass_ar
       implicit none
 !
@@ -100,8 +62,11 @@ subroutine minor_ar(tn,o2,o1,n2,he,ar,ar_nm,ar_out,arnm_out,
      |  tn,     ! neutral temperature (deg K)
      |  o2,     ! molecular oxygen (mmr)
      |  o1,     ! oxygen family (mmr)
-     |  n2,     ! molecular nitrogen (mmr)
      |  he,     ! helium (mmr)
+     |  mbar,   ! mean molecular weight
+     |  barm,   ! mean molecular weight
+     |  xnmbar, ! p0*e(-z)*mbar/kT
+     |  w,      ! vertical wind
      |  ar,     ! argon (mmr)
      |  ar_nm   ! argon at time n-1
 !
@@ -114,11 +79,10 @@ subroutine minor_ar(tn,o2,o1,n2,he,ar,ar_nm,ar_out,arnm_out,
 ! Local:
       real,parameter :: phi_ar(3) = (/1.042,1.509,1.176/) ! from tgcm24
       real,parameter :: alfa_ar   = 0.17    ! thermal diffusion coefficient (from tgcm24)
-      real,parameter :: xyar      = 1.e-10  ! from tgcm24
 !
-      call minor(tn,o2,o1,n2,he,ar,ar_nm,ar_out,arnm_out,ar_loss,
-     |  ar_prod,ar_lbc,ar_ubc,rmass_ar,phi_ar,alfa_ar,lev0,lev1,
-     |  lon0,lon1,lat0,lat1,0,'AR')
+      call minor(tn,o2,o1,he,mbar,barm,xnmbar,w,ar,ar_nm,
+     |  ar_out,arnm_out,ar_loss,ar_prod,ar_lbc,ar_ubc,rmass_ar,
+     |  phi_ar,alfa_ar,lev0,lev1,lon0,lon1,lat0,lat1,0,'AR')
 !
       end subroutine minor_ar
 !-----------------------------------------------------------------------
@@ -128,11 +92,30 @@ subroutine alloc_ar(lon0,lon1,lat0,lat1)
 ! conditions and production and loss terms. This is called once per run
 ! from sub allocdata (allocdata.F).
 !
+      use params_module,only: zibot,zpint
+      use interp_module,only: interp1d
 ! Args:
       integer,intent(in) :: lon0,lon1,lat0,lat1
 !
 ! Local:
-      integer :: istat
+      integer :: istat,k
+!
+! Initial condition for argon at 5.0-deg resolution. This is used 
+! to expediate equilibration of argon when it is not on the
+! source history (i.e., is zero on startup). These data were 
+! obtained from a run of the glbmean model (Aug, 2014).
+!
+      real,dimension(29),parameter ::
+     | zpint_5 = (/(zibot+(k-1)*0.5,k=1,29)/),
+     | ar_glbm_5 = (/
+     | 1.164e-02, 1.074e-02, 9.443e-03, 7.905e-03, 6.342e-03,
+     | 4.927e-03, 3.737e-03, 2.776e-03, 2.017e-03, 1.430e-03,
+     | 9.855e-04, 6.575e-04, 4.229e-04, 2.613e-04, 1.548e-04,
+     | 8.797e-05, 4.806e-05, 2.535e-05, 1.298e-05, 6.488e-06,
+     | 3.184e-06, 1.541e-06, 7.381e-07, 3.511e-07, 1.662e-07,
+     | 7.840e-08, 3.689e-08, 1.733e-08, 7.436e-09 /)
+!
+      ar_glbm = exp(interp1d(zpint,zpint_5,log(ar_glbm_5)))
 !
 ! Allocate subdomains to boundary conditions:
       allocate(ar_ubc(lon0:lon1,lat0:lat1),stat=istat)
diff --git a/src/comp_n2d.F b/src/comp_n2d.F
index 28d116f..d7966f3 100644
--- a/src/comp_n2d.F
+++ b/src/comp_n2d.F
@@ -1,5 +1,5 @@
 !
-      subroutine comp_n2d(o2,o1,no,n4s,ne,op,n2p,nop,sco2,xnmbarm,
+      subroutine comp_n2d(o2,o1,no,ne,op,n2p,nop,xnmbar,
      |  n2d,lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -25,13 +25,11 @@ subroutine comp_n2d(o2,o1,no,n4s,ne,op,n2p,nop,sco2,xnmbarm,
      |  o2,     ! molecular oxygen (mmr)
      |  o1,     ! atomic oxygen (mmr)
      |  no,     ! nitric oxide (mmr)
-     |  n4s,    ! N4S (mmr)
      |  ne,     ! electron density (cm3)
      |  op,     ! O+ ion
      |  n2p,    ! N2+ ion
      |  nop,    ! NO+ ion
-     |  sco2,   ! O2 line integral (chapman)
-     |  xnmbarm ! p0*e(-z)*barm/kT
+     |  xnmbar  ! p0*e(-z)*mbar/kT
 !
 ! Output:
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) :: 
@@ -55,12 +53,12 @@ subroutine comp_n2d(o2,o1,no,n4s,ne,op,n2p,nop,sco2,xnmbarm,
 !
 ! Total production of N2D:
           n2d_prod(k,i) = (.5*(qtef(k,i,lat)+qtef(k+1,i,lat))*brn2d)+
-     |      rk3(k,i,lat)*n2p(k,i)*xnmbarm(k,i)*o1(k,i)*rmassinv_o1+
+     |      rk3(k,i,lat)*n2p(k,i)*xnmbar(k,i)*o1(k,i)*rmassinv_o1+
      |     (ra1(k,i,lat)*nop(k,i)*0.85+ra3(k,i,lat)*n2p(k,i)*0.9)*
      |      sqrt(ne(k,i)*ne(k+1,i))
 !
 ! Total loss of N2D:
-          n2d_loss(k,i) = xnmbarm(k,i)*
+          n2d_loss(k,i) = xnmbar(k,i)*
      |      (beta2*o2(k,i)*rmassinv_o2+
      |       beta4*o1(k,i)*rmassinv_o1+
      |       beta6*no(k,i)*rmassinv_no)+
@@ -68,7 +66,7 @@ subroutine comp_n2d(o2,o1,no,n4s,ne,op,n2p,nop,sco2,xnmbarm,
      |       rk10*op(k,i)
 !
 ! Update n2d:
-          n2d(k,i)=rmass_n2d*n2d_prod(k,i)/(n2d_loss(k,i)*xnmbarm(k,i))
+          n2d(k,i)=rmass_n2d*n2d_prod(k,i)/(n2d_loss(k,i)*xnmbar(k,i))
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
diff --git a/src/comp_n4s.F b/src/comp_n4s.F
index df23c87..eb871f8 100644
--- a/src/comp_n4s.F
+++ b/src/comp_n4s.F
@@ -66,29 +66,26 @@ subroutine alloc_n4s(lon0,lon1,lat0,lat1)
 !
       end subroutine alloc_n4s
 !-----------------------------------------------------------------------
-      subroutine comp_n4s(tn,o2,o1,n2,barm,xnmbarm,no,n2d,ne,o2p,op,n2p,
+      subroutine comp_n4s(o2,o1,n2,xnmbar,xnmbari,no,n2d,ne,o2p,op,n2p,
      |  nplus,nop,lev0,lev1,lon0,lon1,lat)
 !
 ! Advance n4s by one time step. This is called from dynamics at
 ! each subdomain latitude.
 !
       use qrj_module,only: qtef
-      use cons_module,only: brn2d,p0,expz,expzmid_inv,boltz,
-     |  rmass_n4s,rmassinv_n2d,rmassinv_o2,rmassinv_o1,
-     |  rmassinv_n2,rmassinv_no
+      use cons_module,only: brn2d,rmass_n4s,
+     |  rmassinv_n2d,rmassinv_o2,rmassinv_o1,rmassinv_n2,rmassinv_no
       use chemrates_module,only: beta1,beta3,beta4,beta5,beta7,
      |  beta8,beta17,ra1,ra3,rk2,rk4,rk6,rk8
-      use fields_module,only: tlbc ! lower boundary interface level of TN
 !
 ! Input args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  tn,      ! neutral temperature (deg K)
      |  o2,      ! molecular oxygen (mmr)
      |  o1,      ! atomic oxygen (mmr)
      |  n2,      ! molecular nitrogen (mmr)
-     |  barm,    ! mean molecular weight
-     |  xnmbarm, ! p0*e(-z)*barm/kT
+     |  xnmbar,  ! p0*e(-z)*mbar/kT
+     |  xnmbari, ! p0*e(-z)*barm/kT
      |  no,      ! nitric oxide (mmr)
      |  n2d,     ! N2D (mmr) (from sub comp_n2d)
      |  ne,      ! N2D (mmr)
@@ -112,13 +109,9 @@ subroutine comp_n4s(tn,o2,o1,n2,barm,xnmbarm,no,n2d,ne,o2p,op,n2p,
 ! Lower boundary:
 ! n4s_lbc(:,1)=A, n4s_lbc(:,2)=B, n4s_lbc(:,3)=C define lower boundary 
 !   condition where A*DPSX/DZ + B*PSX + C = 0.
-! Note tn(lev1,i) assumes tn bottom boundary is stored in top slot.
 !
       do i=lon0,lon1
-!       xnmbar_lbc = p0*expz(1)*expzmid_inv*barm(lev0,i)/
-!    |    (boltz*tn(lev1,i))
-        xnmbar_lbc = p0*expz(1)*expzmid_inv*barm(lev0,i)/
-     |    (boltz*tlbc(i,lat))
+        xnmbar_lbc = xnmbari(lev0,i)
 !
 ! Value at bottom given by photochemical equilibrium.
         n4s_lbc(i,1,lat) = 0.
@@ -144,25 +137,25 @@ subroutine comp_n4s(tn,o2,o1,n2,barm,xnmbarm,no,n2d,ne,o2p,op,n2p,
         do k=lev0,lev1-1
 !
           n4s_prod(k,i,lat) = (.5*(qtef(k,i,lat)+qtef(k+1,i,lat))*
-     |      (1.-brn2d))+xnmbarm(k,i)*(n2d(k,i)*rmassinv_n2d*
-     |      (xnmbarm(k,i)*beta4*o1(k,i)*rmassinv_o1+
+     |      (1.-brn2d))+xnmbar(k,i)*(n2d(k,i)*rmassinv_n2d*
+     |      (xnmbar(k,i)*beta4*o1(k,i)*rmassinv_o1+
      |      beta5(k,i,lat)*.5*(ne(k,i)+ne(k+1,i))+beta7)+
      |      .5*(beta8(k,i,lat)+beta8(k+1,i,lat))*no(k,i)*rmassinv_no)+
-     |      xnmbarm(k,i)*(rk2(k,i,lat)*op(k,i)*n2(k,i)*rmassinv_n2+
+     |      xnmbar(k,i)*(rk2(k,i,lat)*op(k,i)*n2(k,i)*rmassinv_n2+
      |      rk6*nplus(k,i)*o2(k,i)*rmassinv_o2+
      |      rk8*nplus(k,i)*o1(k,i)*rmassinv_o1)+
      |      sqrt(ne(k,i)*ne(k+1,i))*(ra1(k,i,lat)*nop(k,i)*0.15+
      |      ra3(k,i,lat)*n2p(k,i)*1.1)
 !
-          n4s_loss(k,i,lat) = -xnmbarm(k,i)*(beta1(k,i,lat)*o2(k,i)*
+          n4s_loss(k,i,lat) = -xnmbar(k,i)*(beta1(k,i,lat)*o2(k,i)*
      |      rmassinv_o2+beta3(k,i,lat)*no(k,i)*rmassinv_no+
-     |      xnmbarm(k,i)*beta17(k,i,lat)*o1(k,i)*rmassinv_o1*
+     |      xnmbar(k,i)*beta17(k,i,lat)*o1(k,i)*rmassinv_o1*
      |      n2(k,i)*rmassinv_n2)-rk4*o2p(k,i)
 
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
-!     call addfld('MBAR_N4S'  ,' ',' ',xnmbarm(lev0:lev1-1,i0:i1),
+!     call addfld('MBAR_N4S'  ,' ',' ',xnmbar(lev0:lev1-1,i0:i1),
 !    |  'lev',lev0,lev1-1,'lon',i0,i1,lat)
 !     call addfld('N4S_PROD',' ',' ',n4s_prod(lev0:lev1-1,i0:i1,lat),
 !    |  'lev',lev0,lev1-1,'lon',i0,i1,lat)
@@ -171,8 +164,8 @@ subroutine comp_n4s(tn,o2,o1,n2,barm,xnmbarm,no,n2d,ne,o2p,op,n2p,
  
       end subroutine comp_n4s
 !-----------------------------------------------------------------------
-      subroutine minor_n4s(tn,o2,o1,n2,he,n4s,n4s_nm1,n4s_out,
-     |  n4s_nm1_out,lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine minor_n4s(tn,o2,o1,he,mbar,barm,xnmbar,w,n4s,n4s_nm1,
+     |  n4s_out,n4s_nm1_out,lev0,lev1,lon0,lon1,lat0,lat1)
       use cons_module,only: rmass_n4s
 !
 ! Input args:
@@ -182,8 +175,11 @@ subroutine minor_n4s(tn,o2,o1,n2,he,n4s,n4s_nm1,n4s_out,
      |  tn,      ! neutral temperature (deg K)
      |  o2,      ! molecular oxygen (mmr)
      |  o1,      ! atomic oxygen (mmr)
-     |  n2,      ! molecular nitrogen (mmr)
      |  he,      ! helium (mmr)
+     |  mbar,    ! mean molecular weight
+     |  barm,    ! mean molecular weight
+     |  xnmbar,  ! p0*e(-z)*mbar/kT
+     |  w,       ! vertical wind
      |  n4s,     ! N4S (mmr)
      |  n4s_nm1  ! N4S at time n-1 
 !
@@ -193,27 +189,16 @@ subroutine minor_n4s(tn,o2,o1,n2,he,n4s,n4s_nm1,n4s_out,
      |  n4s_out,    ! N4S output 
      |  n4s_nm1_out ! N4S output at time n-1
 !
-! Local:
-      integer :: lat
-!
 !     write(6,"('enter minor_n4s')")
 !
 ! Minor returns n4s_out and n4s_nm1_out. Module data n4s_prod,
 ! n4s_loss, etc, were defined by comp_n4s.  
 !
-      call minor(tn,o2,o1,n2,he,n4s,n4s_nm1,n4s_out,n4s_nm1_out,
-     |  n4s_loss,n4s_prod,n4s_lbc,n4s_ubc,rmass_n4s,phi_n4s,
-     |  alfa_n4s,lev0,lev1,lon0,lon1,lat0,lat1,0,'N4S')
+      call minor(tn,o2,o1,he,mbar,barm,xnmbar,w,n4s,n4s_nm1,
+     |  n4s_out,n4s_nm1_out,n4s_loss,n4s_prod,n4s_lbc,n4s_ubc,
+     |  rmass_n4s,phi_n4s,alfa_n4s,lev0,lev1,lon0,lon1,lat0,lat1,
+     |  0,'N4S')
 
-!     do lat=lat0,lat1
-!       call addfld('N4S_OUT' ,' ',' ',
-!    |    n4s_out(lev0:lev1-1,lon0:lon1,lat),
-!    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-!       call addfld('N4S_TM1' ,' ',' ',
-!    |    n4s_nm1_out(lev0:lev1-1,lon0:lon1,lat),
-!    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-!     enddo ! lat=lat0,lat1
- 
       end subroutine minor_n4s
 !
       end module n4s_module
diff --git a/src/comp_no.F b/src/comp_no.F
index 6cfd61f..46e80f6 100644
--- a/src/comp_no.F
+++ b/src/comp_no.F
@@ -54,28 +54,24 @@ subroutine alloc_no(lon0,lon1,lat0,lat1)
 !
       end subroutine alloc_no
 !-----------------------------------------------------------------------
-      subroutine comp_no(tn,o2,o1,n2,barm,xnmbar,n4s,n2d,ne,o2p,
+      subroutine comp_no(o2,o1,n2,xnmbar,xnmbari,n4s,n2d,o2p,
      |  lev0,lev1,lon0,lon1,lat)
 !
 ! Advance NO by one time step:
 !
-      use cons_module,only: nob,rmass_no,p0,boltz,expz,
-     |  expzmid_inv,rmassinv_o2,rmassinv_n4s,rmassinv_n2d,
-     |  rmassinv_o1,rmassinv_n2
+      use cons_module,only: nob,rmass_no,
+     |  rmassinv_o2,rmassinv_n4s,rmassinv_n2d,rmassinv_o1,rmassinv_n2
       use chemrates_module,only: beta1,beta2,beta3,beta6,beta8,beta9,
      |  beta9n,beta17,rk5
-      use fields_module,only: tlbc ! lower boundary interface level of TN
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  tn,         ! neutral temperature (deg K)
      |  o2, o1, n2, ! o2, o, n2 mass mixing ratios
-     |  barm,       ! mean molecular weight
-     |  xnmbar,     ! p0*e(-z)*barm/kT
+     |  xnmbar,     ! p0*e(-z)*mbar/kT
+     |  xnmbari,    ! p0*e(-z)*barm/kT
      |  n4s,        ! N(4S)
      |  n2d,        ! N(2D)
-     |  ne,         ! electron density
      |  o2p         ! O2+
 !
 ! Local:
@@ -92,14 +88,10 @@ subroutine comp_no(tn,o2,o1,n2,barm,xnmbar,n4s,n2d,ne,o2p,
         no_ubc(i,lat) = 0.
 !
 ! Lower boundary:
-! (note tn(lev1,i) assumes bottom boundary of tn is in top slot):
 !
         no_lbc(i,1,lat) = 0.
         no_lbc(i,2,lat) = 1.
-!       no_lbc(i,3,lat) = -nob(lat)*rmass_no*boltz*tn(lev1,i)/
-!    |    (p0*expzmid_inv*expz(lev0)*barm(lev0,i))
-        no_lbc(i,3,lat) = -nob(lat)*rmass_no*boltz*tlbc(i,lat)/
-     |    (p0*expzmid_inv*expz(lev0)*barm(lev0,i))
+        no_lbc(i,3,lat) = -nob(lat)*rmass_no/xnmbari(lev0,i)
       enddo ! i=lon0,lon1
 !
 ! Sources:
@@ -133,8 +125,8 @@ subroutine comp_no(tn,o2,o1,n2,barm,xnmbar,n4s,n2d,ne,o2p,
 !
       end subroutine comp_no
 !-----------------------------------------------------------------------
-      subroutine minor_no(tn,o2,o1,n2,he,no,no_nm1,no_out,no_nm1_out,
-     |  lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine minor_no(tn,o2,o1,he,mbar,barm,xnmbar,w,no,no_nm1,
+     |  no_out,no_nm1_out,lev0,lev1,lon0,lon1,lat0,lat1)
       use cons_module,only: rmass_no
 !
 ! Input args at full task subdomains:
@@ -143,8 +135,11 @@ subroutine minor_no(tn,o2,o1,n2,he,no,no_nm1,no_out,no_nm1_out,
      |  tn,      ! neutral temperature (deg K)
      |  o2,      ! molecular oxygen (mmr)
      |  o1,      ! atomic oxygen (mmr)
-     |  n2,      ! molecular nitrogen (mmr)
      |  he,      ! helium (mmr)
+     |  mbar,    ! mean molecular weight
+     |  barm,    ! mean molecular weight
+     |  xnmbar,  ! p0*e(-z)*mbar/kT
+     |  w,       ! vertical wind
      |  no,      ! NO (mmr)
      |  no_nm1   ! NO at time n-1
 !
@@ -154,9 +149,6 @@ subroutine minor_no(tn,o2,o1,n2,he,no,no_nm1,no_out,no_nm1_out,
      |  no_out,    ! NO output
      |  no_nm1_out ! NO output at time n-1
 !
-! Local:
-      integer :: lat
-!
 ! Minor returns no_out and no_nm1_out. Module data no_prod,
 ! no_loss, etc, were defined by comp_no.
 !
@@ -164,18 +156,9 @@ subroutine minor_no(tn,o2,o1,n2,he,no,no_nm1,no_out,no_nm1_out,
 !    |  sloss,sprod,flbc,fubc,rmx,phix,alfax,lev0,lev1,lon0,lon1,lat0,
 !    |  lat1,idebug)
 
-      call minor(tn,o2,o1,n2,he,no,no_nm1,no_out,no_nm1_out,
-     |  no_loss,no_prod,no_lbc,no_ubc,rmass_no,phi_no,alfa_no,
-     |  lev0,lev1,lon0,lon1,lat0,lat1,0,'NO')
-
-!     do lat=lat0,lat1
-!       call addfld('NO_OUT' ,' ',' ',
-!    |    no_out(lev0:lev1-1,lon0:lon1,lat),
-!    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-!       call addfld('NO_TM1' ,' ',' ',
-!    |    no_nm1_out(lev0:lev1-1,lon0:lon1,lat),
-!    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-!     enddo ! lat=lat0,lat1
+      call minor(tn,o2,o1,he,mbar,barm,xnmbar,w,no,no_nm1,
+     |  no_out,no_nm1_out,no_loss,no_prod,no_lbc,no_ubc,
+     |  rmass_no,phi_no,alfa_no,lev0,lev1,lon0,lon1,lat0,lat1,0,'NO')
 
       end subroutine minor_no
 !-----------------------------------------------------------------------
diff --git a/src/comp_o2o.F b/src/comp_o2o.F
index 8a5ef1b..e574a4b 100644
--- a/src/comp_o2o.F
+++ b/src/comp_o2o.F
@@ -1,5 +1,5 @@
 !
-      subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
+      subroutine comp_o2o(o1,mbar,xnmbar,op,no,n4s,n2d,o2p,ne,
      |  n2p,nplus,nop,lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -8,9 +8,8 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
 !
 ! Calculates fs array which gives sources and sinks for comp (o2,o). 
 !
-      use cons_module,only: rmassinv_o2,rmassinv_o1,rmassinv_n2,
-     |  rmassinv_he,p0,expz,boltz,rmass_no,rmass_n4s,rmass_n2d,rmass_o2,
-     |  rmass_o1
+      use cons_module,only: rmassinv_o2,rmassinv_o1,
+     |  rmass_no,rmass_n4s,rmass_n2d,rmass_o2,rmass_o1
       use qrj_module,only: rj,qo2p,qop
       use chemrates_module,only: rk4,rk5,rk6,rk7,rk8,rk9,rk10,beta2,
      |  beta6,ra1,ra2,beta3,beta8,rk1,beta1,rkm12,rk3,fs
@@ -22,12 +21,9 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
 !
 ! All input arrays are at current time step (itp): 
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  tn,    ! neutral temperature (deg K) 
-     |  o2,    ! O2 (mmr)
      |  o1,    ! O1 (mmr)
-     |  n2,    ! N2 (mmr)
-     |  he,    ! He (mmr)
-     |  barm,  ! mean molecular weight
+     |  mbar,  ! mean molecular weight
+     |  xnmbar,! p0*e(-z)*mbar/kT
      |  op,    ! O+
      |  no,    ! nitric oxide
      |  n4s,   ! N(4s)
@@ -44,7 +40,6 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
      |  rji,            ! RJ at interfaces (qrj module)
      |  qo2pi,          ! O2+ ionization at interfaces (qrj module)
      |  qopi,           ! O+ ionization at interfaces
-     |  xnmbar,         ! p0*e(-z)*barm
      |  pox1,pox2,      ! OX production terms
      |  lox1,lox2,lox3, ! OX loss terms
      |  po21,po22,po23, ! O2 production terms
@@ -52,17 +47,9 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
 !
       nk = lev1-lev0+1
 
-!     call addfld('TN_O2O',' ',' ',tn(:,lon0:lon1),'lev',lev0,lev1,
-!    |  'lon',lon0,lon1,lat)
-!     call addfld('O2_O2O',' ',' ',o2(:,lon0:lon1),'lev',lev0,lev1,
-!    |  'lon',lon0,lon1,lat)
 !     call addfld('O1_O2O',' ',' ',o1(:,lon0:lon1),'lev',lev0,lev1,
 !    |  'lon',lon0,lon1,lat)
-!     call addfld('N2_O2O',' ',' ',n2(:,lon0:lon1),'lev',lev0,lev1,
-!    |  'lon',lon0,lon1,lat)
-!     call addfld('HE_O2O',' ',' ',he(:,lon0:lon1),'lev',lev0,lev1,
-!    |  'lon',lon0,lon1,lat)
-!     call addfld('BARM_O2O',' ',' ',barm(:,lon0:lon1),'lev',lev0,lev1,
+!     call addfld('MBAR_O2O',' ',' ',mbar(:,lon0:lon1),'lev',lev0,lev1,
 !    |  'lon',lon0,lon1,lat)
 !     call addfld('OP_O2O',' ',' ',op(:,lon0:lon1),'lev',lev0,lev1,
 !    |  'lon',lon0,lon1,lat)
@@ -94,10 +81,6 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
           qo2pi(k,i) = 0.5*(qo2p(k,i,lat)+qo2p(k+1,i,lat))
           qopi (k,i) = 0.5*(qop(k,i,lat)+qop(k+1,i,lat))
 !
-! n*mbar (k+1/2):
-          xnmbar(k,i) = expz(k)*p0/(boltz*tn(k,i)*(o2(k,i)*rmassinv_o2+
-     |     o1(k,i)*rmassinv_o1+he(k,i)*rmassinv_he+n2(k,i)*rmassinv_n2))
-!
 ! OX production:
 ! s1
           pox1(k,i) = xnmbar(k,i)**2*
@@ -115,14 +98,12 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
      |      nplus(k,i)+2.*rji(k,i)
 !
 ! OX loss:
-          lox1(k,i) = 2.*rkm12(k,i,lat)*xnmbar(k,i)/
-     |      (.5*(barm(k,i)+barm(k+1,i)))
+          lox1(k,i) = 2.*rkm12(k,i,lat)*xnmbar(k,i)/mbar(k,i)
           lox2(k,i) = rk3(k,i,lat)*n2p(k,i)+rk8*nplus(k,i)
           lox3(k,i) = qopi(k,i)
 !
 ! O2 production:
-          po21(k,i) = rkm12(k,i,lat)*xnmbar(k,i)/
-     |      (.5*(barm(k,i)+barm(k+1,i)))
+          po21(k,i) = rkm12(k,i,lat)*xnmbar(k,i)/mbar(k,i)
 !
           po22(k,i) = 0.
           po23(k,i) = rk5*no(k,i)/rmass_no*o2p(k,i)*xnmbar(k,i)
@@ -163,7 +144,7 @@ subroutine comp_o2o(tn,o2,o1,n2,he,barm,op,no,n4s,n2d,o2p,ne,
 !       write(6,"('fs(:,k,2,0,lat)=',/,(6e12.4))") fs(:,k,2,0,lat)
 !     enddo ! k=lev0,lev1-1
 
-!     call addfld('MBAR_O2O',' ',' ',xnmbar,'lev',lev0,lev1,
+!     call addfld('MBAR_O2O',' ',' ',xnmbar(:,lon0:lon1),'lev',lev0,lev1,
 !    |  'lon',lon0,lon1,lat)
 !     call addfld('POX1',' ',' ',pox1,'lev',lev0,lev1,
 !    |  'lon',lon0,lon1,lat)
diff --git a/src/cons.F b/src/cons.F
index e83d3cb..2767ad2 100644
--- a/src/cons.F
+++ b/src/cons.F
@@ -1,5 +1,4 @@
 !
-#include <defs.h>
       module cons_module
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -31,16 +30,6 @@ module cons_module
      |  p0   = 5.0e-4,       ! standard pressure                  C(81)
      |  gask = 8.314e7,      ! gas constant                       C(57)
      |  grav_par = 3.986004415e20, ! standard gravitational parameter (cm^3/sec^2)
-!
-! dipmin should be same as sin10 (see magfield.F):
-!
-#if (NLAT==36 && NLON==72)
-     |  dipmin = 0.17,       ! minimum mag dip angle (5.0 deg horizontal res)
-#elif (NLAT==72 && NLON==144)
-     |  dipmin = 0.24,       ! minimum mag dip angle (2.5 deg horizontal res)
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
      |  brn2d = 0.6,         !
      |  tbound = 181.0,      ! background tn at lower boundary (tiegcm)
      |  atm_amu = 28.9,      ! mean mass of surface atmosphere    C(24)
@@ -127,7 +116,8 @@ module cons_module
      |  difk(nlev+1,ndays),   ! background eddy diffusion
      |  dift(nlev+1,ndays),   ! background thermal conductivity
      |  xmue(nlev+1,ndays),   ! eddy viscosity (?)
-     |  zbound          ! background low bound of Z (formerly ZBA in annual tide)
+     |  zbound,         ! background low bound of Z (formerly ZBA in annual tide)
+     |  dipmin          ! minimum mag dip angle
 !
 ! Constants for dynamo and electric field calculations:
       real,parameter :: h0 =9.0e6, r0 =re+h0    ! use mean earth radius
@@ -155,31 +145,6 @@ module cons_module
 ! This is not a parameter because it may be changed by sub colath (colath.F).
       real :: crit(2) = (/0.261799387, 0.523598775/)
 !
-! Kut is used in filtering longitudinal waves (see filter.F):
-!
-#if (NLAT==36 && NLON==72)                 /* 5.0 deg horizontal resolution */
-      integer,parameter :: kut(nlat) =
-     |  (/1,2,3,5,6,7,9,10,11,13,14,15,17,17,17,17,17,17,17,17,17,17,17,
-     |    17,15,14,13,11,10,9,7,6,5,3,2,1/)
-#elif (NLAT==72 && NLON==144)              /* 2.5 deg horizontal resolution */
-       integer,parameter :: kut(nlat) =
-     |   (/1  ,1  ,2  ,2  ,4  ,4  ,8  ,8  ,10 ,10 ,12 ,12,
-     |     15 ,15 ,18 ,18 ,22 ,22 ,26 ,26 ,30 ,30 ,32 ,32,
-     |     34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34,
-     |     34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34 ,34,
-     |     32 ,32 ,30 ,30 ,26 ,26 ,22 ,22 ,18 ,18 ,15 ,15,
-     |     12 ,12 ,10 ,10 ,8  ,8  ,4  ,4  ,2  ,2  ,1  ,1/)
-!      integer,parameter :: kut(nlat) =
-!    |   (/0  ,0  ,1  ,2  ,3  ,4  ,5  ,6  , 7 , 8 , 9 ,10,
-!    |     15 ,15 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17,
-!    |     17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17,
-!    |     17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17,
-!    |     17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,17 ,15 ,15,
-!    |     10 , 9 , 8 , 7 ,6  ,5  ,4  ,3  ,2  ,1  ,0  ,0/)
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
-!
 ! If check_exp is set true, certain routines will use expo() (util.F)
 ! instead of exp(). expo checks for out of range arguments to the
 ! exponential, substituting large or small results if the argument
@@ -201,6 +166,10 @@ module cons_module
      |  pi_dyn=3.14159265358979312
 
       integer,parameter :: difhor=1
+!
+! smoothing factors for ring filter
+      integer :: nlat_filter
+      integer,dimension(:),allocatable :: chunk_array
 !
       contains
 !-----------------------------------------------------------------------
@@ -213,7 +182,7 @@ subroutine init_cons
 ! Local:
       real :: z,expdz,phi
       real :: omega = 7.292E-5
-      integer :: m,k,i,j,nfsech,js
+      integer :: m,k,i,j,js
       integer :: calday(ndays)         ! calenday day in a year
       real :: coeff(9)
       real :: theta(ndays)
@@ -313,6 +282,7 @@ subroutine init_cons
       dlamda2_4div3 = 4./(3.*dlamda**2)   ! C(10)
       dlamda2_1div12 = 1./(12.*dlamda**2) ! C(11)
       zbound = 136.291/sqrt(2.)*1.e5  ! background lower boundary of Z (cm)
+      dipmin = sin(dlat*2*dtr)
 !
 ! expz(kmax) is exp(-zp) at midpoints:
 ! expz (will replace EXPS) (expz(nlev+1) not used).
@@ -358,14 +328,36 @@ subroutine init_cons
       dzgrav = grav/gask   ! C(65)
 !
 ! Adjust smoothing constant as function of timestep:
-!
-#if (NLAT==36 && NLON==72)
-      default_step = 60.   ! default step at 5.0 deg for shapiro=dt/def*fac
-#elif (NLAT==72 && NLON==144)
-      default_step = 30.   ! default step at 2.5 deg for shapiro=dt/def*fac
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
+! default_step: default step for shapiro=dt/def*fac.
+!
+      if (nlat==36 .and. nlon==72) then
+        default_step = 60.
+        nlat_filter = 4
+        allocate(chunk_array(nlat_filter))
+        chunk_array = (/3,9,18,36/)
+      elseif (nlat==72 .and. nlon==144) then
+        default_step = 30.
+        nlat_filter = 8
+        allocate(chunk_array(nlat_filter))
+        chunk_array = (/3,9,18,18,36,36,72,72/)
+      elseif (nlat==144 .and. nlon==288) then
+        default_step = 10.
+        nlat_filter = 16
+        allocate(chunk_array(nlat_filter))
+        chunk_array =
+     |    (/3,3,9,9,18,18,18,36,36,36,72,72,72,144,144,144/)
+      elseif (nlat==288 .and. nlon==576) then
+        default_step = 5.
+        nlat_filter = 34
+        allocate(chunk_array(nlat_filter))
+        chunk_array =
+     |    (/9,9,9,9,18,18,18,18,
+     |    36,36,36,36,72,72,72,72,72,72
+     |    144,144,144,144,144,144,144,144,
+     |    288,288,288,288,288,288,288,288/)
+      else
+        call shutdown('Unknown combination of lat x lon')
+      endif
 !
 ! shapiro = dt/def*smooth_fac
       smooth_fac = 3.e-3
@@ -389,7 +381,6 @@ subroutine init_cons
      |  freq_3m3,freq_semidi
       write(6,"('  dipmin = ',f8.3)") dipmin
       write(6,"('  check_exp = ',l1)") check_exp
-      write(6,"('  kut (for filtering) = ',36i3)") kut
       write(6,"('  step=',i4,' smooth_fac=',es9.2,' shapiro=',es9.2)")
      |  step,smooth_fac,shapiro
 !
@@ -409,7 +400,6 @@ subroutine consdyn
      |  theta0(nmlat),
      |  hamh0(nmlat)
       real :: dtheta,table2(91,3:5),tanths2
-      real :: fac,rmin,rmax,rmag
 !
 ! Must define pi, rtd, dtr, because consdyn is called before init_cons:
       pi = 4.*atan(1.)                ! C(110)
diff --git a/src/cpktkm.F b/src/cpktkm.F
index dd122bf..b12795e 100644
--- a/src/cpktkm.F
+++ b/src/cpktkm.F
@@ -1,6 +1,6 @@
 !
-      subroutine cpktkm(tn,o2,o1,n2,he,fcp,fkt,fkm,lev0,lev1,lon0,lon1,
-     |  lat)
+      subroutine cpktkm(tn,o2,o1,n2,he,mbar,fcp,fkt,fkm,
+     |  lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -21,7 +21,8 @@ subroutine cpktkm(tn,o2,o1,n2,he,fcp,fkt,fkm,lev0,lev1,lon0,lon1,
      |  o2,  ! molecular oxygen (mmr)
      |  o1,  ! atomic oxygen (mmr)
      |  n2,  ! molecular nitrogen (mmr)
-     |  he   ! helium (mmr)
+     |  he,  ! helium (mmr)
+     |  mbar ! mean molecular weight
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) :: 
      |  fcp, ! specific heat at constant pressure (ergs/deg/gm)
      |  fkt, ! molecular diffusion (ergs/cm/deg/sec)
@@ -50,8 +51,7 @@ subroutine cpktkm(tn,o2,o1,n2,he,fcp,fkt,fkm,lev0,lev1,lon0,lon1,
 !  Banks and Kockarts, 1973.
       do i=lon0,lon1
         do k=lev0,lev1
-          fmbar(k,i) = 1./(o2(k,i)*rmassinv_o2 + o1(k,i)*rmassinv_o1 +
-     |                 he(k,i)*rmassinv_he + n2(k,i)*rmassinv_n2)
+          fmbar(k,i) = mbar(k,i)
           po2(k,i) = fmbar(k,i)*o2(k,i)*rmassinv_o2
           po1(k,i) = fmbar(k,i)*o1(k,i)*rmassinv_o1
           phe(k,i) = fmbar(k,i)*he(k,i)*rmassinv_he
diff --git a/src/ctmt.F b/src/ctmt.F
index 2c76d7b..531ed09 100644
--- a/src/ctmt.F
+++ b/src/ctmt.F
@@ -16,15 +16,11 @@ module ctmt_module
 !
       use params_module,only: nlon,nlat,nlonp4,nlonp2
       use mpi_module,only: lon0,lon1,lat0,lat1
-      use nchist_module,only:nc_open,nc_close,handle_ncerr
+      use nchist_module,only:handle_ncerr
       use addfld_module,only: addfld
       implicit none
 !
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif 
 ! 
 ! CTMT boundary data at model grid, output by this module,
 !   to be used by dt, duv, addiag, etc.
@@ -41,7 +37,7 @@ module ctmt_module
 !
       contains 
 !-----------------------------------------------------------------------
-      subroutine get_ctmt(istep,iyear,iday,secs) 
+      subroutine get_ctmt(istep,iday,secs) 
 !
 ! Module driver to read nc files, and do time interpolations.
 !
@@ -54,19 +50,13 @@ subroutine get_ctmt(istep,iyear,iday,secs)
 ! Driver for obtaining GSWM data, called once per timestep from advance.
 !
 ! Args:
-      integer,intent(in) :: istep,iyear,iday
+      integer,intent(in) :: istep,iday
       real,intent(in) :: secs
 !
-! Local:
-      integer :: iprint
-!
-      iprint = 0
-      if (istep==1) iprint = 1
-!
 ! Get CTMT tide data:
       if (ictmt > 0) then
         if (istep==1) call rd_ctmt(ctmt_ncfile)
-        call mk_ctmt(iyear,iday,int(secs),iprint)
+        call mk_ctmt(iday,int(secs))
       endif
       
       end subroutine get_ctmt
@@ -79,14 +69,14 @@ subroutine rd_ctmt(ncfile)
       character(len=*),intent(in) :: ncfile
 !
 ! Local:
-      integer :: ncid,istat
+      integer :: ncid,istat,lonbeg,lonend
       character(len=mxlen_filename) :: dskfile
       integer :: nlon_rd, nlat_rd, nmonth_rd, nhour_rd
       integer :: id_nmonth, id_nhour, id_nlon, id_nlat
       integer :: idv_z, idv_t, idv_u, idv_v
       character(len=240) :: char240
-      real,dimension(nlonp4,nlat,nmonth,nhour) :: t,u,v,z
-      real,dimension(nlon,nlat,nmonth,nhour) :: tmp
+      integer,dimension(4) :: start,count
+      real,dimension(lon0:lon1,lat0:lat1,nmonth,nhour) :: t,u,v,z
 !
       dskfile = ' '
       call getfile(ncfile,dskfile)
@@ -94,8 +84,8 @@ subroutine rd_ctmt(ncfile)
       write(6,"('Reading CTMT data file ',a)") trim(ncfile)
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOERR) then
         write(6,"(/,'>>> rd_read: error opening netcdf CTMT ',
      |    'file ',a,' dskfile ',a)") trim(ncfile),trim(dskfile)
         call shutdown('rd_ctmt')
@@ -160,6 +150,13 @@ subroutine rd_ctmt(ncfile)
         write(6,"('ctmt data file: ',a)") trim(ncfile)
         call shutdown('rd_ctmt')
       endif
+!
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+      start = (/lonbeg-2,lat0,1,1/)
+      count = (/lonend-lonbeg+1,lat1-lat0+1,nmonth,nhour/)
 !
 ! Get Z geopotential height perturbation [m]:
 !
@@ -167,8 +164,8 @@ subroutine rd_ctmt(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting Z var id')
       z = 0. ! init
-      istat = nf_get_var_double(ncid,idv_z,tmp)
-      z(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_z,start,count,
+     |  z(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting variable Z')
       z = z*100. 	! convert from m to cm
@@ -181,8 +178,8 @@ subroutine rd_ctmt(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting TN var id')
       t = 0.
-      istat = nf_get_var_double(ncid,idv_t,tmp)
-      t(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_t,start,count,
+     |  t(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_cmt: Error getting variable TN')
 !     write(6,"('rdgswm ',a,': tn min,max=',2e12.4)") 
@@ -194,8 +191,8 @@ subroutine rd_ctmt(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting UN var id')
       u = 0.
-      istat = nf_get_var_double(ncid,idv_u,tmp)
-      u(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_u,start,count,
+     |  u(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting variable UN')
       u = u*100. 	! convert to cm/s
@@ -208,8 +205,8 @@ subroutine rd_ctmt(ncfile)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting VN var id')
       v = 0.
-      istat = nf_get_var_double(ncid,idv_v,tmp)
-      v(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_v,start,count,
+     |  v(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rd_ctmt: Error getting variable VN')
       v = v*100. 	! convert to cm/s
@@ -223,12 +220,12 @@ subroutine rd_ctmt(ncfile)
       v_ctmt(lon0:lon1,lat0:lat1,:,:) = v(lon0:lon1,lat0:lat1,:,:)
 !
 ! Close the file:
-      call nc_close(ncid)
+      istat = nf_close(ncid)
       write(6,"('Completed read from CTMT data file ',a)") trim(ncfile)
       write(6,"(/,72('-'))")
       end subroutine rd_ctmt
 !-----------------------------------------------------------------------
-      subroutine mk_ctmt(iyear,iday,isecs,iprint)
+      subroutine mk_ctmt(iday,isecs)
 !
 ! Use data read from CTMT file to return perturbation in Z
 ! and T at current model date and time. It is assumed that the ctmt file
@@ -239,19 +236,16 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
 ! interpolated to the modelday
 !
       use hist_module,only: modeltime
-#ifdef MPI
       use mpi_module,only: mp_periodic_f2d
-#endif
       implicit none
 !
 ! Args:
-      integer,intent(in) :: iyear,iday,isecs,iprint
+      integer,intent(in) :: iday,isecs
 !
 ! Local:
-      real :: difsec,difday,sec,secint,dayint
-      integer :: i,j,ndmon_nl(13),ndmon_lp(13),nonleap,
-     |   mon_cur,mon_nxt,ihr_cur,ihr_nxt,nointp=0,
-     |   lonbeg,lonend,i0,i1,j0,j1
+      real :: difsec,difday,secint,dayint
+      integer :: i,ndmon_nl(13),mon_cur,mon_nxt,ihr_cur,ihr_nxt,
+     |   nointp=0,i0,i1,j0,j1
       real,dimension(lon0:lon1,lat0:lat1) :: t,u,v,z,
      |  z_curmo, t_curmo, u_curmo, v_curmo,
      |  z_nxtmo, t_nxtmo, u_nxtmo, v_nxtmo,
@@ -310,10 +304,10 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
         u_curmo_nxthr = ctmtdat(mon_cur,ihr_nxt+1,'u')
         v_curmo_nxthr = ctmtdat(mon_cur,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo, 1)
-        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo, 1)
-        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo, 1)
-        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo, 1)
+        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo)
+        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo)
+        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo)
+        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo)
 !
 ! Interpolate to next month:
         z = z_nxtmo ; t = t_nxtmo ; u = u_nxtmo ; v = v_nxtmo
@@ -324,10 +318,10 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
         u_nxtmo_nxthr = ctmtdat(mon_nxt,ihr_nxt+1,'u')
         v_nxtmo_nxthr = ctmtdat(mon_nxt,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo,1)
-        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo,1)
-        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo,1)
-        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo,1)
+        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo)
+        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo)
+        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo)
+        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo)
 
       endif ! interpolate to month or not
 !
@@ -359,10 +353,10 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
 ! Interpolate to ut if necessary to local z,t,u,v:
       select case (nointp)
         case (0)                  ! interpolate
-          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z,1)
-          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t,1)
-          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u,1)
-          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v,1)
+          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z)
+          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t)
+          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u)
+          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v)
         case (1)                  ! no interp (same day as current month)
           z = z_curmo
           t = t_curmo
@@ -387,7 +381,6 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
 ! Do mpi periodic points exchange for ctmt with f2d(:)
 ! lons 1,2 <- nlonp4-3,nlonp4-2 and nlonp4-1,nlonp4 <- 3,4
 !
-#ifdef MPI
        fctmt(:,:,1) = ctmt_z(lon0:lon1,lat0:lat1)
        fctmt(:,:,2) = ctmt_t(lon0:lon1,lat0:lat1)
        fctmt(:,:,3) = ctmt_u(lon0:lon1,lat0:lat1)
@@ -397,12 +390,6 @@ subroutine mk_ctmt(iyear,iday,isecs,iprint)
        ctmt_t(lon0:lon1,lat0:lat1) = fctmt(:,:,2)
        ctmt_u(lon0:lon1,lat0:lat1) = fctmt(:,:,3)
        ctmt_v(lon0:lon1,lat0:lat1) = fctmt(:,:,4)
-#else
-       call set_periodic_f2d(ctmt_z)
-       call set_periodic_f2d(ctmt_t)
-       call set_periodic_f2d(ctmt_u)
-       call set_periodic_f2d(ctmt_v)
-#endif
 
 !       call addfld('ctmt_z','CTMT Z','cm',
 !    |    ctmt_z(i0:i1,j0:j1),'lon',i0,i1,'lat',j0,j1,0)
@@ -443,8 +430,7 @@ function ctmtdat(mon,ihr,fname)
 !
       end function ctmtdat
 !-----------------------------------------------------------------------
-      subroutine timeinterp(d1,d2,difd1d2,difint,fout,
-     |  iprnt)
+      subroutine timeinterp(d1,d2,difd1d2,difint,fout)
 !
 ! Interpolate from fields d1,d2  linearly to time difint
 !   (d1 must be at 0 unit time), returning fout
@@ -456,7 +442,6 @@ subroutine timeinterp(d1,d2,difd1d2,difint,fout,
 !   fout is defined at difint
 !
 ! Args:
-      integer,intent(in) :: iprnt
       real,intent(in)  :: difd1d2,difint,d1(lon0:lon1,lat0:lat1),
      |   d2(lon0:lon1,lat0:lat1)
       real,intent(out) :: fout(lon0:lon1,lat0:lat1)
diff --git a/src/current.F90 b/src/current.F90
index 51b1925..68328ae 100644
--- a/src/current.F90
+++ b/src/current.F90
@@ -46,7 +46,7 @@ subroutine noso_coef
 ! Local:
 !
   integer :: i,j,jnpole,jspole,n,jn,js,je
-  real :: dfac,dfac1n,dfac1s,dfac2n,dfac2s
+  real :: dfac,dfac1n,dfac1s,dfac2n
   real,dimension(nmlonp1,nmlat) :: nszigmc,nszigm2,nszigm11,nszigm22,nsrhs
   real,dimension(0:nmlon0+1,nmlat) :: array
   real :: cs(nmlat)
@@ -468,16 +468,16 @@ subroutine nscnm(array,nmlon0,nmlat,nsc,ncoef,nmlath)
 end subroutine nscnm
 !-----------------------------------------------------------------------
 subroutine noso_crrt
-  use cons_module,only: dt0dts,rcos0s,pi,r0,re,ylatm
-  use mpi_module,only: mlon0,mlon1,mlat0,mlat1,mp_allgather_2d
+  use cons_module,only: dt0dts,rcos0s,pi,r0,ylatm
+  use mpi_module,only: mp_allgather_2d
   use pdynamo_module,only: phim=>phim_glb ! (nmlonp1,nmlat) on root task only
 !
 ! Calculate current for both hemisphere:
 ! [stencil*potential -RHS] = R**2 * J_mr / dt0dts / rcos0s
 !
 ! Local:
-  integer :: j,i,k,n,jmod,jmin,jmax,jn,js
-  real :: vtmp,r0sq,fac,facmax,lat,lmin,lmax,pol
+  integer :: j,i,jmin,jmax,jn,js
+  real :: r0sq,fac,facmax,lat,lmin,lmax,pol
   real,dimension(nmlonp1,nmlat,nmlevp1) :: tout
 !
 ! External:
@@ -675,9 +675,9 @@ subroutine noso_crdens
 !
 ! Local:
 !
-  integer :: k,i,j,len
+  integer :: k,i,j
   real :: fac,adotam,ed1h,ed2h,sinlamq,coslamq2,facsin,lamm,sinlamm,act
-  real :: sinim,facq,dh,actpk,r0m,difflm,epsn,epss,eps(2)
+  real :: sinim,facq,dh,actpk,r0m,difflm,epsn,epss
   real,dimension(nmlat) :: fsums,afsums,fsumn,afsumn
   real,dimension(mlon0:mlon1,mlat0:mlat1,mlev0:mlev1) :: &
     je13d,je23d,  & ! output current density
diff --git a/src/defs.h b/src/defs.h
deleted file mode 100644
index 8b7e00e..0000000
--- a/src/defs.h
+++ /dev/null
@@ -1,57 +0,0 @@
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-! Definitions of grid parameters for pre-processor.
-! See parameters.h.
-!
-!------------------------------------
-! 5.0 degree horizontal:
-!
-! Latitude dimension:
-#define NLAT  (36)
-#define GLAT1 (-87.5)
-#define DLAT  (5.)
-!
-! Longitude dimension:
-#define NLON  (72)
-#define GLON1 (-180.)
-#define DLON  (5.)
-!
-!------------------------------------
-! 2.5 degree horizontal:
-!
-! Latitude dimension:
-!#define NLAT  (72)
-!#define GLAT1 (-88.75)
-!#define DLAT  (2.5)
-!
-! Longitude dimension:
-!#define NLON  (144)
-!#define GLON1 (-180.)
-!#define DLON  (2.5)
-!
-!------------------------------------
-! Vertical column dimension:
-! There are 2 supported vertical resolutions:
-!
-! ZBOT  ZTOP  DZ   NLEV
-! -7     5   0.5    28  "normal resolution" 2 grid points per scale height
-! -7     5   0.25   56  "double resolution" 4 grid points per scale height
-!
-! Define interface and midpoint levels
-! Vertical column -7 to +7 by 0.50 ("normal")
-#define ZIBOT (-7.0)
-#define ZITOP (7.0)
-#define ZMBOT (-6.75)
-#define ZMTOP (7.25)
-#define NLEV (28)
-!
-! Vertical column -7 to +7 by 0.25 ("double")
-!#define ZIBOT (-7.0)
-!#define ZITOP (7.0)
-!#define ZMBOT (-6.875)
-!#define ZMTOP (7.125)
-!#define NLEV (56)
-!
diff --git a/src/defs2.5 b/src/defs2.5
deleted file mode 100644
index cfc594e..0000000
--- a/src/defs2.5
+++ /dev/null
@@ -1,28 +0,0 @@
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-!------------------------------------
-! 2.5 degree lat x lon horizontal resolution:
-!
-! Latitude dimension:
-#define NLAT  (72)
-#define GLAT1 (-88.75)
-#define DLAT  (2.5)
-!
-! Longitude dimension:
-#define NLON  (144)
-#define GLON1 (-180.)
-#define DLON  (2.5)
-!
-!------------------------------------
-! Vertical column interfaces and midpoints (dz=0.25):
-!
-#define ZIBOT (-7.0)
-#define ZITOP (7.0)
-#define ZMBOT (-6.875)
-#define ZMTOP (7.125)
-#define NLEV (56)
-!
-!------------------------------------
diff --git a/src/defs5.0 b/src/defs5.0
deleted file mode 100644
index b7d824f..0000000
--- a/src/defs5.0
+++ /dev/null
@@ -1,26 +0,0 @@
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-!------------------------------------
-! 5.0 degree lat x lon horizontal resolution:
-!
-#define NLAT  (36)
-#define GLAT1 (-87.5)
-#define DLAT  (5.)
-!
-#define NLON  (72)
-#define GLON1 (-180.)
-#define DLON  (5.)
-!
-!------------------------------------
-! Vertical column interfaces and midpoints (dz=0.50):
-!
-#define ZIBOT (-7.0)
-#define ZITOP (7.0)
-#define ZMBOT (-6.75)
-#define ZMTOP (7.25)
-#define NLEV (28)
-!
-!------------------------------------
diff --git a/src/diags.F b/src/diags.F
index 9e11021..8253bdc 100644
--- a/src/diags.F
+++ b/src/diags.F
@@ -462,19 +462,20 @@ subroutine mkdiag_QJOULE(name,qji_tn,lev0,lev1,lon0,lon1,lat)
       end subroutine mkdiag_QJOULE
 !-----------------------------------------------------------------------
       subroutine mkdiag_TEC(name,tec,z,electrons,lev0,lev1,lon0,lon1,
-     |  lat)
+     |  lat0,lat1)
 !
 ! Calculate 2d global height-integrated diagnostic TEC (Total Electron Content)
-! This is called from sub elden, elden.F at latitude lat.
+! This is called from sub dynacmis after elden.
 !
 ! Args:
       character(len=*),intent(in) :: name
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
-      real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) :: z,electrons
-      real,intent(out) :: tec(lon0:lon1)
+      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
+      real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),intent(in)
+     |  :: z,electrons
+      real,intent(out) :: tec(lon0:lon1,lat0:lat1)
 !
 ! Local:
-      integer :: i,k
+      integer :: i,lat,k
       integer,save :: ix=0,firstcall=0
 
       firstcall = firstcall+1
@@ -482,16 +483,19 @@ subroutine mkdiag_TEC(name,tec,z,electrons,lev0,lev1,lon0,lon1,
       if (ix==0) return
 !
 ! Integrate electron content in height at current latitude:
-      tec(:) = 0.
+      tec = 0.
       do i=lon0,lon1
-        do k=lev0,lev1-1
-          tec(i) = tec(i)+(z(k+1,i)-z(k,i))*electrons(k,i)
+        do lat=lat0,lat1
+          do k=lev0,lev1-1
+            tec(i,lat) = tec(i,lat)+
+     |        (z(k+1,i,lat)-z(k,i,lat))*electrons(k,i,lat)
+          enddo
         enddo
       enddo
 !
 ! Save on secondary histories:
       call addfld(diags(ix)%short_name,diags(ix)%long_name,
-     |  diags(ix)%units,tec(:),'lon',lon0,lon1,'lat',lat,lat,0)
+     |  diags(ix)%units,tec,'lon',lon0,lon1,'lat',lat0,lat1,0)
       end subroutine mkdiag_TEC
 !-----------------------------------------------------------------------
       subroutine mkdiag_UI(name,ui,lev0,lev1,lon0,lon1,lat0,lat1)
@@ -769,14 +773,14 @@ subroutine mkdiag_EXYZ(name,exyz,lev0,lev1,lon0,lon1,lat)
       endif
       end subroutine mkdiag_EXYZ
 !-----------------------------------------------------------------------
-      subroutine mkdiag_BXYZ(name,bxyz,lon0,lon1,lat)
+      subroutine mkdiag_BXYZ(name,bxyz,lon0,lon1,lat0,lat1)
 !
 ! Called by oplus.F
 !
 ! Args:
       character(len=*),intent(in) :: name
-      integer,intent(in) :: lon0,lon1,lat
-      real,dimension(lon0:lon1),intent(in) :: bxyz
+      integer,intent(in) :: lon0,lon1,lat0,lat1
+      real,dimension(lon0:lon1,lat0:lat1),intent(in) :: bxyz
 !
 ! Local:
       integer,save :: ibx=-1,iby=-1,ibz=-1
@@ -789,24 +793,24 @@ subroutine mkdiag_BXYZ(name,bxyz,lon0,lon1,lat)
 ! Save 2d field on secondary histories:
       if (trim(name)=='BX'.and.ibx > 0) then
         call addfld(diags(ibx)%short_name,diags(ibx)%long_name,
-     |    diags(ibx)%units,bxyz,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(ibx)%units,bxyz,'lon',lon0,lon1,'lat',lat0,lat1,0)
       elseif (trim(name)=='BY'.and.iby > 0) then
         call addfld(diags(iby)%short_name,diags(iby)%long_name,
-     |    diags(iby)%units,bxyz,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(iby)%units,bxyz,'lon',lon0,lon1,'lat',lat0,lat1,0)
       elseif (trim(name)=='BZ'.and.ibz > 0) then
         call addfld(diags(ibz)%short_name,diags(ibz)%long_name,
-     |    diags(ibz)%units,bxyz,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(ibz)%units,bxyz,'lon',lon0,lon1,'lat',lat0,lat1,0)
       endif
       end subroutine mkdiag_BXYZ
 !-----------------------------------------------------------------------
-      subroutine mkdiag_BMAG(name,bmag,lon0,lon1,lat)
+      subroutine mkdiag_BMAG(name,bmag,lon0,lon1,lat0,lat1)
 !
 ! Called by oplus.F
 !
 ! Args:
       character(len=*),intent(in) :: name
-      integer,intent(in) :: lon0,lon1,lat
-      real,dimension(lon0:lon1),intent(in) :: bmag
+      integer,intent(in) :: lon0,lon1,lat0,lat1
+      real,dimension(lon0:lon1,lat0:lat1),intent(in) :: bmag
 !
 ! Local:
       integer,save :: ix=0,firstcall=0
@@ -816,7 +820,7 @@ subroutine mkdiag_BMAG(name,bmag,lon0,lon1,lat)
       if (ix==0) return
 
       call addfld(diags(ix)%short_name,diags(ix)%long_name,
-     |  diags(ix)%units,bmag,'lon',lon0,lon1,'lat',lat,lat,0)
+     |  diags(ix)%units,bmag,'lon',lon0,lon1,'lat',lat0,lat1,0)
 
       end subroutine mkdiag_BMAG
 !-----------------------------------------------------------------------
@@ -850,15 +854,16 @@ subroutine mkdiag_ED12(name,ed12,mlon0,mlon1,mlev0,mlev1,lat)
       endif
       end subroutine mkdiag_ED12
 !-----------------------------------------------------------------------
-      subroutine mkdiag_HNMF2(name,ht,ne,lev0,lev1,lon0,lon1,lat)
+      subroutine mkdiag_HNMF2(name,ht,ne,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Args:
       character(len=*),intent(in) :: name
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
-      real,intent(in),dimension(lev0:lev1,lon0:lon1) :: ht,ne
+      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
+      real,intent(in),dimension(lev0:lev1,lon0:lon1,lat0:lat1) :: ht,ne
 !
 ! Local:
-      real,dimension(lon0:lon1) :: hmf2,nmf2,fof2
+      integer :: lat
+      real,dimension(lon0:lon1,lat0:lat1) :: hmf2,nmf2,fof2
       integer,save :: ixhmf2=-1,ixnmf2=-1,ixfof2=-1
 
       if (trim(name)=='HMF2'.and.ixhmf2==-1) ixhmf2 = checkf(name)
@@ -867,19 +872,22 @@ subroutine mkdiag_HNMF2(name,ht,ne,lev0,lev1,lon0,lon1,lat)
       if (ixhmf2<=0.and.ixnmf2<=0.and.ixfof2<=0) return
 !
 ! Calculate hmf2,nmf2,fof2 from ne at current latitude:
-      call hnmf2(ht,ne,hmf2,nmf2,fof2,lev0,lev1,lon0,lon1,lat) 
+      do lat = lat0,lat1
+        call hnmf2(ht(:,:,lat),ne(:,:,lat),hmf2(:,lat),
+     |    nmf2(:,lat),fof2(:,lat),lev0,lev1,lon0,lon1,lat)
+      enddo
 !
 ! Save 2d field on secondary histories:
       if (trim(name)=='HMF2'.and.ixhmf2 > 0) then
         hmf2 = hmf2*1.e-5 ! cm to km
         call addfld(diags(ixhmf2)%short_name,diags(ixhmf2)%long_name,
-     |    diags(ixhmf2)%units,hmf2,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(ixhmf2)%units,hmf2,'lon',lon0,lon1,'lat',lat0,lat1,0)
       elseif (trim(name)=='NMF2'.and.ixnmf2 > 0) then
         call addfld(diags(ixnmf2)%short_name,diags(ixnmf2)%long_name,
-     |    diags(ixnmf2)%units,nmf2,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(ixnmf2)%units,nmf2,'lon',lon0,lon1,'lat',lat0,lat1,0)
       elseif (trim(name)=='FOF2'.and.ixfof2 > 0) then
         call addfld(diags(ixfof2)%short_name,diags(ixfof2)%long_name,
-     |    diags(ixfof2)%units,fof2,'lon',lon0,lon1,'lat',lat,lat,0)
+     |    diags(ixfof2)%units,fof2,'lon',lon0,lon1,'lat',lat0,lat1,0)
       endif
       end subroutine mkdiag_HNMF2
 !-----------------------------------------------------------------------
@@ -1206,7 +1214,7 @@ subroutine mkdiag_WN(name,omega,zcm,lev0,lev1,lon0,lon1,lat)
 
       end subroutine mkdiag_WN
 !-----------------------------------------------------------------------
-      subroutine mkdiag_O_N2(name,o1,o2,n2,lev0,lev1,lon0,lon1,lat)
+      subroutine mkdiag_O_N2(name,o1,n2,lev0,lev1,lon0,lon1,lat)
 !
 ! Calculate O/N2 ratio from o2 and o (mmr). 
 ! N2 is passed in (3d array in fields.F), where n2=1-o2-o-he
@@ -1214,7 +1222,7 @@ subroutine mkdiag_O_N2(name,o1,o2,n2,lev0,lev1,lon0,lon1,lat)
 ! Args:
       character(len=*),intent(in) :: name
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
-      real,intent(in),dimension(lev0:lev1,lon0:lon1) :: o1,o2,n2
+      real,intent(in),dimension(lev0:lev1,lon0:lon1) :: o1,n2
 !
 ! Local:
       real,dimension(lev0:lev1,lon0:lon1) :: o_n2
@@ -1254,7 +1262,7 @@ subroutine mkdiag_N2(name,n2,lev0,lev1,lon0,lon1,lat)
       end subroutine mkdiag_N2
 !-----------------------------------------------------------------------
       subroutine mkdiag_QJOULE_INTEG(name,qji_tn,lev0,lev1,lon0,lon1,
-     |  lat)
+     |  lat0,lat1)
       use cons_module,only: p0,grav
       use params_module,only: zpint
 !
@@ -1263,13 +1271,13 @@ subroutine mkdiag_QJOULE_INTEG(name,qji_tn,lev0,lev1,lon0,lon1,
 !
 ! Args
       character(len=*),intent(in) :: name
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
-      real,intent(in),dimension(lev0:lev1,lon0:lon1) :: qji_tn
+      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
+      real,intent(in),dimension(lev0:lev1,lon0:lon1,lat0:lat1) :: qji_tn
 !
 ! Local:
-      integer :: k,i
-      real,dimension(lon0:lon1) :: qji_integ
-      real,dimension(lev0:lev1,lon0:lon1) :: qj
+      integer :: k,i,lat
+      real,dimension(lon0:lon1,lat0:lat1) :: qji_integ
+      real,dimension(lev0:lev1,lon0:lon1,lat0:lat1) :: qj
       real :: myp0,mygrav
       integer,save :: ix=0,firstcall=0
 
@@ -1286,9 +1294,11 @@ subroutine mkdiag_QJOULE_INTEG(name,qji_tn,lev0,lev1,lon0,lon1,
       
       qji_integ = 0.
       do i=lon0,lon1
-        do k=lev0,lev1-1
-          qji_integ(i) = qji_integ(i) + myp0/mygrav*exp(-zpint(k))*
-     |      qj(k,i)*dlev
+        do lat=lat0,lat1
+          do k=lev0,lev1-1
+            qji_integ(i,lat) = qji_integ(i,lat) +
+     |        myp0/mygrav*exp(-zpint(k))*qj(k,i,lat)*dlev
+          enddo
         enddo
       enddo
 !
@@ -1298,7 +1308,7 @@ subroutine mkdiag_QJOULE_INTEG(name,qji_tn,lev0,lev1,lon0,lon1,
 !
 ! Save 2d field on secondary history:
       call addfld(diags(ix)%short_name,diags(ix)%long_name,
-     |  diags(ix)%units,qji_integ,'lon',lon0,lon1,'lat',lat,lat,0)
+     |  diags(ix)%units,qji_integ,'lon',lon0,lon1,'lat',lat0,lat1,0)
 
       end subroutine mkdiag_QJOULE_INTEG
 !-----------------------------------------------------------------------
diff --git a/src/dispose.F b/src/dispose.F
index a2c8b48..afc1739 100644
--- a/src/dispose.F
+++ b/src/dispose.F
@@ -126,7 +126,7 @@ subroutine add_dispose(diskfile,annotation)
       character(len=*),intent(in) :: diskfile,annotation
 !
 ! Local:
-      integer :: i,iline,istat,iprint=1
+      integer :: iline
       character(len=1020) :: hpss_file,string
       character(len=8) :: opt
       character(len=lenrec) :: hsiput_cmd, annotate_cmd
diff --git a/src/divrg.F b/src/divrg.F
index 0d58636..0d1164e 100644
--- a/src/divrg.F
+++ b/src/divrg.F
@@ -11,9 +11,7 @@ subroutine divrg(un,vc,w,lon0,lon1,lev0,lev1,lat0,lat1,lat)
      |  dphi_2div3,dphi_1div12,racs
       use params_module,only: nlonp4
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_periodic_f2d
-#endif
       implicit none
 !
 ! Args:
@@ -72,13 +70,13 @@ subroutine divrg(un,vc,w,lon0,lon1,lev0,lev1,lat0,lat1,lat)
 !
 ! Set periodic points in fields that need them 
 ! subroutine mp_periodic_f2d(f,lon0,lon1,lat0,lat1)
-#ifdef MPI
+!
 ! Oct, 2010: Comment these calls to prevent divergence in T,U,V 
 !   between runs w/ different numbers of processors (see also minor.F):
 !     call mp_periodic_f2d(d2u,lon0,lon1,lat,lat,1)
 !     call mp_periodic_f2d(d4u,lon0,lon1,lat,lat,1)
 !     call mp_periodic_f2d(w  ,lon0,lon1,lat,lat,1)
-#endif
+!
 !     call addfld('DVG_D2U' ,' ',' ',d2u(lev0:lev1-1,:),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !     call addfld('DVG_D4U' ,' ',' ',d4u(lev0:lev1-1,:),
diff --git a/src/dt.F b/src/dt.F
index 58bf67e..396e5c6 100644
--- a/src/dt.F
+++ b/src/dt.F
@@ -1,6 +1,6 @@
 !
-      subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
-     |  cool_imp,cool_exp,w_upd,tn_upd,tn_nm_upd,
+      subroutine dt(tn,tn_nm,un,vn,o1,mbar,xnmbar,scht,schti,
+     |  cp,kt,km,hdt,qji_tn,cool_imp,cool_exp,w_upd,tn_upd,tn_nm_upd,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -10,21 +10,18 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 ! Advance neutral temperature at current latitude: 
 ! 4/4/05 btf: added gswm lbc option (eliminated dt_gswm.F)
 !
-      use params_module,only: nlonp4,dz,nlat,spval
+      use params_module,only: nlonp4,dz,spval
       use input_module,only: step
-      use init_module,only: iter,igetgswm,iday
-      use cons_module,only: freq_semidi,tbound,shapiro,dtx2inv,expz,
-     |  rmassinv_o2,rmassinv_o1,rmassinv_n2,tsurplus,p0,boltz,avo,grav,
-     |  gask,expzmid,expzmid_inv,dift,dtsmooth,dtsmooth_div2,kut
+      use init_module,only: iday
+      use cons_module,only: dtx2inv,expz,rmassinv_o1,tsurplus,p0,avo,
+     |  grav,gask,expzmid_inv,dift,dtsmooth,dtsmooth_div2
       use lbc,only: t_lbc
       use qrj_module,only: qtotal ! qtotal(nlevp1,lon0:lon1,lat0:lat1)
       use chemrates_module,only: rkm12
       use fields_module,only: tlbc,ulbc,vlbc,tlbc_nm
-      use addfld_module
+      use addfld_module,only: addfld
       use diags_module,only: mkdiag_DEN,mkdiag_HEAT
-#ifdef MPI
       use mpi_module,only: mp_bndlons_f3d, mp_periodic_f3d
-#endif
       implicit none
 !
 ! Args:
@@ -36,10 +33,11 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
      |  tn_nm, ! neutral temperature, time n-1 
      |  un,    ! neutral zonal velocity (cm/sec)
      |  vn,    ! neutral zonal velocity (cm/sec)
-     |  o2,    ! molecular oxygen (mmr)
      |  o1,    ! atomic oxygen (mmr)
-     |  n2,    ! molecular nitrogen (mmr)
-     |  barm,  ! mean molecular weight
+     |  mbar,  ! mean molecular weight
+     |  xnmbar,! p0*e(-z)*mbar/kT
+     |  scht,  ! scale height at midpoints
+     |  schti, ! scale height at interfaces
      |  cp,    ! specific heat (ergs/deg/gm)           (sub cpktkm)
      |  kt,    ! molecular diffusion (ergs/cm/deg/sec) (sub cpktkm)
      |  km,    ! molecular viscosity (gm/cm/sec)       (sub cpktkm)
@@ -56,14 +54,11 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 ! Local:
       integer :: k,i,lonbeg,lonend,lat
       integer :: nk,nkm1,nlevs
-      complex :: expt,expt2
-      real :: rstep
       real :: tnlbc(lon0:lon1,lat0:lat1) ! lower boundary condition
 !
 ! Local at 2d:
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  cptn,       ! cp*exp(-s)*(V.del(T(n))-1/(2*DT))*T(n-1) (k+1/2)
-     |  mbar,       ! mean molecular weight
      |  qm,         ! heating due to molecular diffusion
      |  total_heat, ! total heating
      |  dudz,       ! du/dz(k)
@@ -123,7 +118,7 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 ! Begin second latitude scan:
       do lat=lat0,lat1
 !
-! Set cptn and mbar (k+1/2):
+! Set cptn (k+1/2):
 ! (Earlier versions apparently assumed zero periodic points for
 !  tnsmooth, since they were not set in smoothing. See sub smooth,
 !  where the periodic points are set to zero to avoid NaNS fpe
@@ -133,11 +128,6 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
         do k=lev0,lev1-1
           cptn(k,i) = .5*(cp(k,i,lat)+cp(k+1,i,lat))*expz(k)*
      |      (advec_tn(k,i,lat)-dtx2inv*tnsmooth(k,i,lat))
-!
-! 2/28/05 btf: Use k rather than k+1 in mbar calculation
-!              (as in recent versions of time-gcm, e.g., timegcm1.2)
-          mbar(k,i) = 1./(o2(k,i,lat)*rmassinv_o2 +
-     |      o1(k,i,lat)*rmassinv_o1 + n2(k,i,lat)*rmassinv_n2)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
@@ -149,7 +139,7 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !     call addfld('CPTN0',' ',' ',cptn,
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('MBAR' ,' ',' ',mbar(lev0:lev1-1,:),
+!     call addfld('MBAR' ,' ',' ',mbar(lev0:lev1-1,lon0:lon1,lat),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Total heat sources are in total_heat (s5).
@@ -164,8 +154,8 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 !
 ! Add heating due to atomic oxygen recombination:
           total_heat(k,i) = total_heat(k,i)+tsurplus*rkm12(k,i,lat)*
-     |      (p0*expz(k)*mbar(k,i)/(boltz*tn(k,i,lat))*o1(k,i,lat)*
-     |      rmassinv_o1)**2*avo/mbar(k,i)
+     |      (xnmbar(k,i,lat)*o1(k,i,lat)*rmassinv_o1)**2*
+     |      avo/mbar(k,i,lat)
 !
 ! Add ion joule heating (from sub qjoule_tn, qjoule.F)
 ! (Note joulefac was applied in sub qji_tn)
@@ -197,8 +187,8 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
 ! qm = heating due to molecular diffusion:
 ! (km = molecular viscosity from sub cpktkm)
         do k=lev0,lev1-1
-          qm(k,i) = grav**2*mbar(k,i)*.5*(km(k,i,lat)+km(k+1,i,lat))/
-     |      (p0*gask*expz(k)*tn(k,i,lat))*(dudz(k,i)**2+dvdz(k,i)**2)
+          qm(k,i) = grav*.5*(km(k,i,lat)+km(k+1,i,lat))/
+     |      (p0*expz(k)*scht(k,i,lat))*(dudz(k,i)**2+dvdz(k,i)**2)
 !
 ! Add qm to total heating:
           total_heat(k,i) = total_heat(k,i)+qm(k,i)
@@ -227,20 +217,17 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
       do i=lon0,lon1
         do k=lev0+1,lev1-1
           tni(k,i) = .5*(tn(k-1,i,lat)+tn(k,i,lat))
-          h(k,i) = gask*tni(k,i)/barm(k,i,lat)
-          rho(k,i) = p0*expzmid_inv*expz(k)/h(k,i)
-          h(k,i) = h(k,i)/grav
+          h(k,i) = schti(k,i,lat)
+          rho(k,i) = p0*expzmid_inv*expz(k)/(h(k,i)*grav)
         enddo ! k=lev0+1,lev1-1
 !
 ! Boundaries:
         tni(lev0,i) = tlbc(i,lat)         ! Lower boundary is in tlbc = tn(itp)
         tni(lev1,i) = tn(lev1-1,i,lat)
-        h(lev0,i) = gask*tni(lev0,i)/barm(lev0,i,lat)
-        h(lev1,i) = gask*tni(lev1,i)/barm(lev1,i,lat)
-        rho(lev0,i) = p0*expzmid_inv*expz(lev0)/h(lev0,i)
-        rho(lev1,i) = p0*expzmid_inv*expz(lev1-1)/h(lev1,i)
-        h(lev0,i) = h(lev0,i)/grav
-        h(lev1,i) = h(lev1,i)/grav
+        h(lev0,i) = schti(lev0,i,lat)
+        h(lev1,i) = schti(lev1,i,lat)
+        rho(lev0,i) = p0*expzmid_inv*expz(lev0)/(h(lev0,i)*grav)
+        rho(lev1,i) = p0*expzmid_inv*expz(lev1-1)/(h(lev1,i)*grav)
 !
 ! G = g*(kT + H**2*rho*cp*kE)/(p0*H*Ds**2) (s2)
 ! F = g*(kE*H**3*rho*g/T)/(p0*2*H*Ds)      (s3)
@@ -299,7 +286,7 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
         do k=lev0,lev1-1
           qpart(k,i) = 
      |      .5*(cp(k,i,lat)+cp(k+1,i,lat))*(dtx2inv+cool_imp(k,i,lat))+
-     |      .5*(w_upd(k,i,lat)+w_upd(k+1,i,lat))*gask/mbar(k,i) 
+     |      .5*(w_upd(k,i,lat)+w_upd(k+1,i,lat))*gask/mbar(k,i,lat) 
           rhs(k,i) = rhs(k,i)+cool_exp(k,i,lat)
           q(k,i) = q(k,i)-expz(k)*qpart(k,i)
         enddo ! k=lev0,lev1-1
@@ -349,7 +336,7 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
       enddo ! lat=lat0,lat1
 !
 ! Filter updated tn:
-      call filter_tn(tn_upd,lev0,lev1,lon0,lon1,lat0,lat1,kut)
+      call filter_tn(tn_upd,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Third latitude scan:
       do lat=lat0,lat1
@@ -391,22 +378,16 @@ subroutine dt(tn,tn_nm,un,vn,o2,o1,n2,barm,cp,kt,km,hdt,qji_tn,
       enddo ! lat=lat0,lat1
       end subroutine dt
 !-----------------------------------------------------------------------
-      subroutine filter_tn(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut)
+      subroutine filter_tn(fout,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Filter updated TN
 !
-      use params_module,only: nlat,nlonp4,nlon
-      use filter_module,only: filter
-#ifdef MPI
+      use params_module,only: nlonp4
       use mpi_module,only: mp_gatherlons_f3d,mp_scatterlons_f3d,mytidi
       implicit none
-#else
-      implicit none
-      integer :: mytidi=0
-#endif
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1,kut(nlat)
+      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
       real,intent(inout) :: fout(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2)
 !
 ! VT vampir tracing:
@@ -416,9 +397,8 @@ subroutine filter_tn(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut)
 #endif
 !
 ! Local:
-      integer :: i,j,nlevs,nlons,nlats
+      integer :: i,j,nlevs,nlons,nlats,ier
       real :: fik(nlonp4,lev0:lev1),fkij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 131 ; state = 'filter_tn' ; activity='Filtering'
@@ -437,27 +417,22 @@ subroutine filter_tn(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut)
         enddo
       enddo ! j=lat0,lat1
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0 
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(fkij,lev0,lev1,lon0,lon1,lat0,lat1,1,'TN')
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
       if (mytidi==0) then
 !
 ! Define 2d array with all longitudes for filter at each latitude:
         latscan: do j=lat0,lat1
-          if (kut(j) >= nlon/2) cycle latscan
           do i=1,nlonp4
             fik(i,:) = fkij(:,i,j)
           enddo ! i=1,nlonp4
 !
-! Remove wave numbers > kut(lat):
-          call filter(fik,lev0,lev1,kut(j),j)
+          call ringfilter(fik,lev0,lev1,3,'TN',j)
 !
 ! Return filtered array to fkij:
           do i=1,nlonp4
@@ -465,13 +440,11 @@ subroutine filter_tn(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut)
           enddo ! i=1,nlonp4
         enddo latscan ! j=lat0,lat1
       endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
 !
       call mp_scatterlons_f3d(fkij,lev0,lev1,lon0,lon1,lat0,lat1,1,'TN')
-#endif
 !
 ! Return filtered array to fout at current task longitudes and latitudes:
       do j=lat0,lat1
diff --git a/src/duv.F b/src/duv.F
old mode 100644
new mode 100755
index 45b3f86..afcd412
--- a/src/duv.F
+++ b/src/duv.F
@@ -1,7 +1,7 @@
 !
-      subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
-     |  barm,z,hdu,hdv,ui,vi,lxx,lyy,lxy,lyx,km,un_upd,unm_upd,vn_upd,
-     |  vnm_upd,lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,mbar,
+     |  scht,schti,z,hdu,hdv,ui,vi,lxx,lyy,lxy,lyx,km,Fe,Fn,
+     |  un_upd,unm_upd,vn_upd,vnm_upd,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -9,18 +9,15 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !
 ! Advance neutral velocities for current time step:
 !
-      use params_module,only: nlonp4,dz,nlat,spval,nlonp2,nlon
-      use init_module,only: iter,igetgswm,iday
+      use params_module,only: nlonp4,dz,spval
+      use init_module,only: iday
       use lbc,only: u_lbc,v_lbc
-      use cons_module,only: dtx2inv,expz,p0,gask,grav,
-     |  xmue,cor,tanphi=>tn,re,dtsmooth_div2,dtsmooth,kut,
-     |  rmassinv_n2,rmassinv_o2,rmassinv_o1
-      use fields_module,only: tlbc,ulbc,vlbc,tlbc_nm,ulbc_nm,vlbc_nm
+      use cons_module,only: dtx2inv,expz,p0,grav,
+     |  xmue,cor,tanphi=>tn,re,dtsmooth_div2,dtsmooth
+      use fields_module,only: ulbc,vlbc,tlbc_nm,ulbc_nm,vlbc_nm
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_periodic_f3d,mp_periodic_f2d,
      |  mp_bndlons_f2d,mp_bndlats_f2d
-#endif
       implicit none
 !
 ! Args:
@@ -36,10 +33,9 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
      |  un_nm,   ! neutral zonal velocity at time n-1
      |  vn_nm,   ! neutral meridional velocity at time n-1
      |  w_upd,   ! updated vertical velocity (swdot.F)
-     |  o2,      ! o2 (for mbar only)
-     |  o1,      ! o1 (for mbar only)
-     |  n2,      ! n2 (for mbar only)
-     |  barm,    ! mean molecular weight
+     |  mbar,    ! mean molecular weight
+     |  scht,    ! scale height at midpoints
+     |  schti,   ! scale height at interfaces
      |  z,       ! geopotential height
      |  hdu,     ! horizontal diffusion of U (hdif3 in hdif.F)
      |  hdv,     ! horizontal diffusion of V (hdif3 in hdif.F)
@@ -49,7 +45,8 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
      |  lyy,     ! yy ion drag coefficient
      |  lxy,     ! xy ion drag coefficient
      |  lyx,     ! yx ion drag coefficient
-     |  km       ! molecular viscosity (cpktkm.F)
+     |  km,      ! molecular viscosity (cpktkm.F)
+     |  Fe,Fn    ! field-aligned ion drag
 !
 ! Outputs at full subdomain:
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
@@ -60,7 +57,7 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
      |  vnm_upd  ! updated meridional velocity at time n-1
 !
 ! Local:
-      integer :: k,kk,i,j,lat,lonbeg,lonend
+      integer :: k,kk,i,lat,lonbeg,lonend
       integer :: nk,nkm1,nlevs
       real :: 
      |  unlbc(lon0:lon1), ! un lower boundary (t1)
@@ -78,15 +75,13 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
       real :: flbc(lon0-2:lon1+2,lat0-2:lat1+2,4) ! ulbc,vlbc,ulbc_nm,vlbc_n
       real :: rtxmue(lev0:lev1) ! sqrt(xmue)
       real,dimension(lev0:lev1,lon0:lon1) ::
-     |  eddyvisc,    ! eddy viscosity (?)
-     |  mbar         ! mean molecular weight (slightly different than barm)
+     |  eddyvisc     ! eddy viscosity (?)
 !
 ! For diagnostic, debug:
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  unlbc_diag,   ! un lbc redundant in vertical, for diagnostic
      |  vnlbc_diag,   ! vn lbc redundant in vertical, for diagnostic
-     |  ss_un,ss_vn,  ! also for diagnostics
-     |  pp11,pp12,pp21,pp22, qq11,qq12,qq21,qq22, rr11,rr12,rr21,rr22
+     |  ss_un,ss_vn   ! also for diagnostics
 !
 ! pp, qq, rr, beta AND gamma are (2 x 2) matrices defined for 
 !   k = 3/2, K-1/2, 1 and i = 3, IMAX+2, 1
@@ -132,7 +127,7 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 ! Horizontal pressure forcing output of glp is in zl,zp. Pass full 
 ! subdomains for derivatives in lat and lon (see sub dldp, called by glp):
 !
-      call glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
+      call glp(tn,tn_upd,tn_nm,mbar,z,zl,zp,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Second latitude scan:
@@ -205,18 +200,17 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !    |    'ilev',lev0,lev1,'lon',lon0,lon1,lat)
 !       call addfld('ADVEC_V2','ADVEC_V2',' ',advec_vn(:,:,lat),
 !    |    'ilev',lev0,lev1,'lon',lon0,lon1,lat)
-!
-! Note: lyx(code) = -lyx; (see subroutine lamdas) this sign change is taken 
-! into account below by using -lyx(code)
-!
+
         do i=lon0,lon1
           do k=lev0,lev1-1
             ss(1,k,i) = expz(k)*(.25*((lxx(k,i,lat)+lxx(k+1,i,lat))*
      |        (ui(k,i,lat)+ui(k+1,i,lat))+(lxy(k,i,lat)+lxy(k+1,i,lat))*
-     |        (vi(k,i,lat)+vi(k+1,i,lat)))-advec_un(k,i,lat))
+     |        (vi(k,i,lat)+vi(k+1,i,lat)))-advec_un(k,i,lat)+
+     |        Fe(k,i,lat))
             ss(2,k,i) = expz(k)*(.25*((lyy(k,i,lat)+lyy(k+1,i,lat))*
      |        (vi(k,i,lat)+vi(k+1,i,lat))-(lyx(k,i,lat)+lyx(k+1,i,lat))*
-     |        (ui(k,i,lat)+ui(k+1,i,lat)))-advec_vn(k,i,lat))
+     |        (ui(k,i,lat)+ui(k+1,i,lat)))-advec_vn(k,i,lat)+
+     |        Fn(k,i,lat))
             ss_un(k,i) = ss(1,k,i)
             ss_vn(k,i) = ss(2,k,i)
           enddo ! k=lev0,lev1-1
@@ -245,18 +239,10 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
      |                      xmue(lev0+1,iday))
         rtxmue(lev1) = sqrt(xmue(lev1-1,iday)**3/
      |                      xmue(lev1-2,iday))
-!
-        do i=lon0,lon1
-          do k=lev0,lev1-1
-            mbar(k,i) = 1./(o2(k,i,lat)*rmassinv_o2 + 
-     |        o1(k,i,lat)*rmassinv_o1 + n2(k,i,lat)*rmassinv_n2)
-          enddo ! k=lev0,lev1-1
-        enddo ! i=lon0,lon1
 !
         do i=lon0,lon1
           do k=lev0,lev1-1          
-            eddyvisc(k,i) = p0*expz(k)*gask*tn(k,i,lat)*xmue(k,iday)/
-     |                      (mbar(k,i)*grav**2)
+            eddyvisc(k,i) = p0*expz(k)*scht(k,i,lat)*xmue(k,iday)/grav
           enddo ! k=lev0+1,lev1-1          
 !
 ! Upper boundary:
@@ -280,8 +266,8 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 
 ! G = g*KM/(P0*H*Ds**2) = g**2*(kM+XMUE)*MBAR*/(P0*R*T*DS**2)
           do k=lev0,lev1
-            g(k,i) = grav**2*(km(k,i,lat)+eddyvisc(k,i))*barm(k,i,lat)/
-     |        (p0*gask*tni(k,i)*dz**2)
+            g(k,i) = grav*(km(k,i,lat)+eddyvisc(k,i))/
+     |        (p0*schti(k,i,lat)*dz**2)
           enddo ! k=lev0,lev1
         enddo ! i=lon0,lon1
 
@@ -342,8 +328,6 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !     Q(1,2) = -exp(-s) * (f+u/r*tan(theta)-lamxy)
 !      and 
 !     Q(2,1) = exp(-s) * (f+u/r*tan(theta)-lamyx)
-! Note: l_yx(code) = -l_yx (see subroutine lamdas)
-! this sign change is taken into account below by using -lyx(code)
 !
             qq(1,2,k,i) = cor(lat)+un(k,i,lat)/re*tanphi(lat)
             qq(2,1,k,i) = qq(1,2,k,i)
@@ -388,35 +372,29 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
           rr(2,2,lev1-1,i) = 0.
         enddo ! i=lon0,lon1
 
-!       pp11(:,:) = pp(1,1,:,:) ; pp12(:,:) = pp(1,2,:,:)
-!       pp21(:,:) = pp(2,1,:,:) ; pp22(:,:) = pp(2,2,:,:)
-!       qq11(:,:) = qq(1,1,:,:) ; qq12(:,:) = qq(1,2,:,:)
-!       qq21(:,:) = qq(2,1,:,:) ; qq22(:,:) = qq(2,2,:,:)
-!       rr11(:,:) = rr(1,1,:,:) ; rr12(:,:) = rr(1,2,:,:)
-!       rr21(:,:) = rr(2,1,:,:) ; rr22(:,:) = rr(2,2,:,:)
-!       call addfld('PP11',' ',' ',pp11,
+!       call addfld('PP11',' ',' ',pp(1,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('PP12',' ',' ',pp12,
+!       call addfld('PP12',' ',' ',pp(1,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('PP21',' ',' ',pp21,
+!       call addfld('PP21',' ',' ',pp(2,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('PP22',' ',' ',pp22,
+!       call addfld('PP22',' ',' ',pp(2,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('QQ11',' ',' ',qq11,
+!       call addfld('QQ11',' ',' ',qq(1,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('QQ12',' ',' ',qq12,
+!       call addfld('QQ12',' ',' ',qq(1,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('QQ21',' ',' ',qq21,
+!       call addfld('QQ21',' ',' ',qq(2,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('QQ22',' ',' ',qq22,
+!       call addfld('QQ22',' ',' ',qq(2,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('RR11',' ',' ',rr11,
+!       call addfld('RR11',' ',' ',rr(1,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('RR12',' ',' ',rr12,
+!       call addfld('RR12',' ',' ',rr(1,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('RR21',' ',' ',rr21,
+!       call addfld('RR21',' ',' ',rr(2,1,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!       call addfld('RR22',' ',' ',rr22,
+!       call addfld('RR22',' ',' ',rr(2,2,:,:),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !       call addfld('SS_UN',' ',' ',ss_un,
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
@@ -427,8 +405,7 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 ! pp,qq,rr,ss are input, beta,gamma,yy,xx are output.
 ! (final solution is in xx)
 !
-        call blktri(pp,qq,rr,ss, beta,gamma,yy,xx,
-     |    lev0,lev1,lon0,lon1,lat)
+        call blktri(pp,qq,rr,ss, beta,gamma,yy,xx,lev0,lev1,lon0,lon1)
 !
 ! Save updated U and V:
         do i=lonbeg,lonend 
@@ -468,9 +445,9 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !
 ! Fourier smoothing of U and V:
       call filter_uv(un_upd(lev0:lev1-1,:,:),lev0,lev1-1,lon0,lon1,
-     |  lat0,lat1,kut,'UN')
+     |  lat0,lat1,'UN')
       call filter_uv(vn_upd(lev0:lev1-1,:,:),lev0,lev1-1,lon0,lon1,
-     |  lat0,lat1,kut,'VN')
+     |  lat0,lat1,'VN')
 !
 ! Fourth latitude scan:
       do lat=lat0,lat1
@@ -499,7 +476,6 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !
 ! End fourth latitude scan:
       enddo ! lat=lat0,lat1
-#ifdef MPI
 !
 ! Boundary (halo) latitudes:
       flbc(:,:,1) = ulbc(:,:)
@@ -534,20 +510,6 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
       vlbc(:,:)    = flbc(:,:,2)
       ulbc_nm(:,:) = flbc(:,:,3)
       vlbc_nm(:,:) = flbc(:,:,4)
-#else
-      do j=lat0,lat1
-        do i=1,2
-          ulbc(i,j)        = ulbc(nlon+i,j)
-          ulbc(nlonp2+i,j) = ulbc(i+2,j) 
-          vlbc(i,j)        = vlbc(nlon+i,j)
-          vlbc(nlonp2+i,j) = vlbc(i+2,j)  
-          ulbc_nm(i,j)        = ulbc_nm(nlon+i,j)
-          ulbc_nm(nlonp2+i,j) = ulbc_nm(i+2,j) 
-          vlbc_nm(i,j)        = vlbc_nm(nlon+i,j)
-          vlbc_nm(nlonp2+i,j) = vlbc_nm(i+2,j)  
-        enddo
-      enddo    
-#endif
 !
 !     do lat=lat0,lat1
 !       call addfld('UN_FINAL',' ',' ',un_upd(:,lon0:lon1,lat),
@@ -557,18 +519,15 @@ subroutine duv(tn,tn_upd,tn_nm,un,vn,un_nm,vn_nm,w_upd,o2,o1,n2,
 !     enddo ! lat=lat0,lat1
       end subroutine duv
 !-----------------------------------------------------------------------
-      subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
+      subroutine glp(tn,tn_upd,tn_nm,mbar,z,zl,zp,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Horizontal pressure forcing for un,vn: 
 !
-      use params_module,only: nlonp4,nlat
+      use params_module,only: nlonp4
       use cons_module,only: dz,dzgrav,grav,racs,re_inv
-      use init_module,only: iter
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_bndlons_f3d, mp_periodic_f3d
-#endif
       implicit none
 !
 ! Args:
@@ -579,7 +538,7 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
      |  tn,      ! neutral temperature (deg K)
      |  tn_upd,  ! updated neutral temperature (from dt.F)
      |  tn_nm,   ! neutral temperature from time n-1
-     |  barm,    ! mean molecular weight
+     |  mbar,    ! mean molecular weight
      |  z        ! geopotential
 !
 ! Outputs at subdomain:
@@ -588,7 +547,6 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
 !
 ! Local:
       integer :: k,i,nk,nkm1,nlevs,lat,lonbeg,lonend
-      complex :: expt1,expt2,expta
       real,parameter :: wt=0.225
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2) ::
      |  ztmp
@@ -619,7 +577,7 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
 
         do i=lon0,lon1
           do k=lev0,lev1-1
-            barmi(k,i) = .5*(barm(k,i,lat)+barm(k+1,i,lat))    ! s7
+            barmi(k,i) = mbar(k,i,lat)    ! s7
             dztbar(k,i) = (dz/dzgrav) * (tbar(k,i)/barmi(k,i)) ! s7
           enddo ! k=lev0,lev1-1
         enddo ! i=lon0,lon1
@@ -641,8 +599,6 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
         enddo ! i=lon0,lon1
       enddo
 !
-#ifdef MPI
-!
 ! Exchange boundary longitudes in ztmp for 4th order differencing in dldp. 
 ! Not necessary if ztmp has been defined at full subdomain, including lon 
 ! halos, but as of 4/02, this was not working (s.a. comments above)
@@ -650,12 +606,7 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
       call mp_periodic_f3d(ztmp(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
       call mp_bndlons_f3d(ztmp,nlevs,lon0,lon1,lat0,lat1,1,0)
-#else
 !
-! Set periodic points for serial run:
-      ztmp(:,1:2,:) = ztmp(:,lonend-2:lonend-1,:)
-      ztmp(:,lonend+1:lonend+2,:) = ztmp(:,3:4,:)
-#endif
 !     do lat=lat0,lat1
 !       call addfld('ZTMP',' ',' ',ztmp(:,lon0:lon1,lat),
 !    |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
@@ -699,7 +650,6 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
 ! (for 5 degree resolution), and so the values of periodic 
 ! points of zl and zp are now no longer NaNs.
 !                                                   Wenbin  04/24/08
-#ifdef MPI
       ftmp(:,:,:,1) = zl(:,lon0:lon1,lat0:lat1)
       ftmp(:,:,:,2) = zp(:,lon0:lon1,lat0:lat1)
 
@@ -707,14 +657,7 @@ subroutine glp(tn,tn_upd,tn_nm,barm,z,zl,zp,
 
       zl(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,1)
       zp(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,2)
-#else
 !
-! Set periodic points for serial run:
-      zl(:,1:2,:) = zl(:,lonend-2:lonend-1,:)
-      zl(:,lonend+1:lonend+2,:) = zp(:,3:4,:)
-      zp(:,1:2,:) = zl(:,lonend-2:lonend-1,:)
-      zp(:,lonend+1:lonend+2,:) = zp(:,3:4,:)
-#endif
       end subroutine glp
 !-----------------------------------------------------------------------
       subroutine dldp(zin,z,zl,zp,lev0,lev1,lon0,lon1,lat0,lat1)
@@ -812,7 +755,7 @@ subroutine dldp(zin,z,zl,zp,lev0,lev1,lon0,lon1,lat0,lat1)
       enddo ! lat=lat0,lat1
       end subroutine dldp
 !-----------------------------------------------------------------------
-      subroutine blktri(a,b,c,f,beta,gamma,y,x,lev0,lev1,lon0,lon1,lat)
+      subroutine blktri(a,b,c,f,beta,gamma,y,x,lev0,lev1,lon0,lon1)
 !
 ! This procedure solves (I2-I1+1) tridiagonal block matrix
 ! systems in which all blocks are 2 x 2 matrices.
@@ -821,7 +764,7 @@ subroutine blktri(a,b,c,f,beta,gamma,y,x,lev0,lev1,lon0,lon1,lat)
       implicit none
 !
 ! Input args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,dimension(2,2,lev0:lev1,lon0:lon1),intent(in) ::
      |  a,b,c
       real,dimension(2,lev0:lev1,lon0:lon1),intent(in) ::
@@ -921,23 +864,17 @@ subroutine blktri(a,b,c,f,beta,gamma,y,x,lev0,lev1,lon0,lon1,lat)
       enddo ! i=lon0,lon1
       end subroutine blktri
 !-----------------------------------------------------------------------
-      subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
+      subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 !
 ! Filter updated W omega:
 !
-      use params_module,only: nlat,nlonp4,nlon
-      use filter_module,only: filter
+      use params_module,only: nlonp4
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_gatherlons_f3d,mp_scatterlons_f3d,mytidi
       implicit none
-#else
-      implicit none
-      integer :: mytidi=0
-#endif
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1,kut(nlat)
+      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
       real,intent(inout) :: fout(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2)
       character(len=*),intent(in) :: name
 !
@@ -948,9 +885,8 @@ subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
 #endif
 !
 ! Local:
-      integer :: i,j,nlevs
+      integer :: i,j,nlevs,ier
       real :: fik(nlonp4,lev0:lev1),fkij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 131 ; state = 'filter_uv' ; activity='Filtering'
@@ -967,27 +903,22 @@ subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
         enddo
       enddo ! j=lat0,lat1
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0 
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(fkij,lev0,lev1,lon0,lon1,lat0,lat1,1,name)
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
       if (mytidi==0) then
 !
 ! Define 2d array with all longitudes for filter at each latitude:
         latscan: do j=lat0,lat1
-          if (kut(j) >= nlon/2) cycle latscan
           do i=1,nlonp4
             fik(i,:) = fkij(:,i,j)
           enddo ! i=1,nlonp4
 !
-! Remove wave numbers > kut(lat):
-          call filter(fik,lev0,lev1,kut(j),j)
+          call ringfilter(fik,lev0,lev1,3,name,j)
 !
 ! Return filtered array to fkij:
           do i=1,nlonp4
@@ -995,7 +926,6 @@ subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
           enddo ! i=1,nlonp4
         enddo latscan ! j=lat0,lat1
       endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
@@ -1006,7 +936,6 @@ subroutine filter_uv(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
 !    |  ,2i4,' fkij(:,lon0:lon1,:) min,max=',2e12.4)") lon0,lon1,
 !    |  lat0,lat1,minval(fkij(:,lon0:lon1,:)),
 !    |            maxval(fkij(:,lon0:lon1,:))
-#endif
 !
 ! Return filtered array to fout at current task longitudes and latitudes:
       do j=lat0,lat1
diff --git a/src/dynamics.F b/src/dynamics.F
index a3826d2..cecdeb1 100644
--- a/src/dynamics.F
+++ b/src/dynamics.F
@@ -19,29 +19,23 @@ subroutine dynamics(nstep,istep)
 !          change call to qjoule_tn to include vertical velocity
 !
       use fields_module
-      use params_module,only: dz
-      use mpi_module,only: lon0,lon1,lat0,lat1,mytidi
-#ifdef MPI
-      use mpi_module,only: distribute_1d,mp_close
-#endif
+      use mpi_module,only: lon0,lon1,lat0,lat1,distribute_1d,mp_close
       use chemrates_module,only: chemrates_tdep
       use qrj_module,only: qrj,qtotal,qop,qo2p,qn2p,qnp,qnop
       use chapman_module,only: chapman
       use oplus_module,only: oplus
-      use input_module,only: iaurora=>aurora,iamie
-      use aurora_module,only: aurora
-      use aurora_module,only: cusp2d,drzl2d,alfa2d,nflx2d,eflux2d
+      use input_module,only: iaurora=>aurora,iamie,nstep_sub
+      use aurora_module,only: aurora,cusp,drizl,alfa,flux,eflux
       use n4s_module,only: comp_n4s,minor_n4s
       use no_module,only: comp_no,minor_no
       use ar_module,only: comp_ar,minor_ar
-      use hdif_module,only: hdif3,hdif_bndlons,hdif_periodic
+      use hdif_module,only: hdif3,hdif_bndlatlons
       use timing_module,only: timer,timing
       use addfld_module,only: addfld
-      use init_module,only: iyear,secs
-      use hist_module,only: modeltime
       use qjoule,only: qjoule_tn,qjoule_ti
       use diags_module,only: mkdiag_CUSP,mkdiag_DRIZZLE,mkdiag_ALFA,
-     |  mkdiag_NFLUX,mkdiag_EFLUX
+     |  mkdiag_NFLUX,mkdiag_EFLUX,mkdiag_TEC,mkdiag_HNMF2,
+     |  mkdiag_QJOULE_INTEG
       use dyndiag_module,only: dyndiag
 
       implicit none
@@ -56,13 +50,9 @@ subroutine dynamics(nstep,istep)
 #endif
 !
 ! Local:
-      integer :: i,j,k,n,lat,ier
+      integer :: lat,ier,itp_sub,itc_sub,istep_sub,itmp
       integer :: i0,i1,nk,nkm1,nlats,k0,k1
       logical,parameter :: debug=.false.  ! add prints to stdout
-      real,parameter ::
-     |  zpm9  = -9.,        ! zp -9.0 level
-     |  zpm5  = -5.         ! zp -5.0 level
-      integer :: nzpm9m5    ! number of levels from zp -9 to zp -5
 !
 ! If diags is set true, the following fields will be written to
 ! secondary histories:
@@ -77,6 +67,12 @@ subroutine dynamics(nstep,istep)
 !
       logical,parameter :: diags=.true. ! put fields on sec hist
       real :: time0,time1,time1_qrj,time1_cmpminor,time1_cmpmajor
+      real,dimension(levd0:levd1,lond0:lond1,latd0:latd1,2) ::
+     |  op_i,op_nm_i
+      real,dimension(lon0:lon1,lat0:lat1) ::
+! 11/08 EMERY added energy flux eflux and eflux2d
+     |  cusp2d,drzl2d,alfa2d,nflx2d,eflux2d,
+     |  tec		! diagnostic total electron content
       logical,external :: time2print
 !
       if (debug) write(6,"(/,'Enter dynamics.')")
@@ -94,6 +90,7 @@ subroutine dynamics(nstep,istep)
      |    o1(levd0,lond0,lat,itp), ! 4d input
      |    n2(levd0,lond0,lat),     ! 3d input
      |    he(levd0,lond0,lat,itp), ! 4d input
+     |    mbar(levd0,lond0,lat,itp),!4d input
      |    cp(levd0,lond0,lat),     ! 3d output
      |    kt(levd0,lond0,lat),     ! 3d output
      |    km(levd0,lond0,lat),     ! 3d output
@@ -136,6 +133,7 @@ subroutine dynamics(nstep,istep)
      |  ui(levd0,lond0,latd0),     ! U ion velocity output
      |  vi(levd0,lond0,latd0),     ! V ion velocity output
      |  wi(levd0,lond0,latd0),     ! W ion velocity output
+     |  Etot(levd0,lond0,latd0),   ! total eletric field
      |  1,nlevp1,lon0,lon1,lat0,lat1)
       if (debug) write(6,"('dynamics after ionvel')")
 !
@@ -207,6 +205,16 @@ subroutine dynamics(nstep,istep)
       call vtbegin(122,ier)
 #endif
       time1_qrj = 0.
+!
+! Initialize diagnostics to insure they have values before the
+! below return when lat < 32.5.
+!
+      cusp2d = 0.
+      drzl2d = 0.
+      alfa2d = 0.
+      nflx2d = 0.
+      eflux2d = 0.
+!
       do lat=lat0,lat1
 !
 ! Calculate ionization and heating rates:
@@ -224,9 +232,9 @@ subroutine dynamics(nstep,istep)
      |      no  (levd0,lond0,lat,itp),
      |      o2  (levd0,lond0,lat,itp),
      |      o1  (levd0,lond0,lat,itp),
+     |      he  (levd0,lond0,lat,itp),
      |      n2  (levd0,lond0,lat),
-     |      n4s (levd0,lond0,lat,itp),
-     |      xnmbari(levd0,lond0,lat),
+     |      xnmbari(levd0,lond0,lat,itp),
      |      1,nlevp1,lon0,lon1,lat)
           call timer(time0,time1,'QRJ',1,0) ! end qrj timing for current lat
           time1_qrj = time1_qrj+time1
@@ -251,9 +259,10 @@ subroutine dynamics(nstep,istep)
         call qinite(
      |    o2     (levd0,lond0,lat,itp),
      |    o1     (levd0,lond0,lat,itp),
+     |    he     (levd0,lond0,lat,itp),
      |    n2     (levd0,lond0,lat),
      |    no     (levd0,lond0,lat,itp),
-     |    xnmbari(levd0,lond0,lat),
+     |    xnmbari(levd0,lond0,lat,itp),
      |    vo2    (levd0,lond0,lat),
      |    vo1    (levd0,lond0,lat),
      |    vn2    (levd0,lond0,lat),
@@ -268,9 +277,18 @@ subroutine dynamics(nstep,istep)
      |      o1  (levd0,lond0,lat,itp),
      |      n2  (levd0,lond0,lat),
      |      barm(levd0,lond0,lat,itp),
+     |      xnmbar(levd0,lond0,lat,itp),
+     |      scht(levd0,lond0,lat,itp),
      |      1,nlevp1,lon0,lon1,lat)
           if (debug) write(6,"('dynamics after aurora: lat=',i3)") lat
         endif
+!
+! Save aurora oval on exit to full arrays so can save later to secondary history
+        cusp2d(:,lat)=cusp(lon0:lon1)
+        drzl2d(:,lat)=drizl(lon0:lon1)
+        alfa2d(:,lat)=alfa(lon0:lon1)
+        nflx2d(:,lat)=flux(lon0:lon1)
+        eflux2d(:,lat)=eflux(lon0:lon1)
       enddo ! lat=lat0,lat1 for qrj, qinite, and aurora
       if (debug) write(6,"('dynamics after qrj,qinite,aurora')")
 !
@@ -305,31 +323,47 @@ subroutine dynamics(nstep,istep)
 ! Full task subdomains (including ghost cells) are passed.
 !
       call timer(time0,time1,'OPLUS',0,0) ! start oplus timing
-      call oplus(
-     |  tn    (levd0,lond0,latd0,itp),
-     |  te    (levd0,lond0,latd0,itp),
-     |  ti    (levd0,lond0,latd0,itp),
-     |  o2    (levd0,lond0,latd0,itp),
-     |  o1    (levd0,lond0,latd0,itp),
-     |  n2    (levd0,lond0,latd0),
-     |  he    (levd0,lond0,latd0,itp),
-     |  n2d   (levd0,lond0,latd0,itp),
-     |  ne    (levd0,lond0,latd0,itp),
-     |  un    (levd0,lond0,latd0,itp),
-     |  vn    (levd0,lond0,latd0,itp),
-     |  w     (levd0,lond0,latd0,itp),
-     |  barm  (levd0,lond0,latd0,itp),
-     |  ui    ,
-     |  vi    ,
-     |  wi    ,
-     |  xnmbar,
-     |  op    (levd0,lond0,latd0,itp),
-     |  op_nm (levd0,lond0,latd0,itp),
-     |  op    (levd0,lond0,latd0,itc), ! out
-     |  op_nm (levd0,lond0,latd0,itc), ! out
-     |  xiop2p,                        ! out
-     |  xiop2d,                        ! out
-     |  1,nlevp1,lon0,lon1,lat0,lat1)
+      itp_sub = itp
+      itc_sub = itc
+      op_i = op
+      op_nm_i = op_nm
+! O+ sub-cycling, Dang, 2017
+      do istep_sub=1,nstep_sub
+        call oplus(
+     |    tn    (levd0,lond0,latd0,itp),
+     |    te    (levd0,lond0,latd0,itp),
+     |    ti    (levd0,lond0,latd0,itp),
+     |    o2    (levd0,lond0,latd0,itp),
+     |    o1    (levd0,lond0,latd0,itp),
+     |    n2    (levd0,lond0,latd0),
+     |    he    (levd0,lond0,latd0,itp),
+     |    n2d   (levd0,lond0,latd0,itp),
+     |    ne    (levd0,lond0,latd0,itp),
+     |    un    (levd0,lond0,latd0,itp),
+     |    vn    (levd0,lond0,latd0,itp),
+     |    w     (levd0,lond0,latd0,itp),
+     |    ui    (levd0,lond0,latd0),
+     |    vi    (levd0,lond0,latd0),
+     |    wi    (levd0,lond0,latd0),
+     |    xnmbar(levd0,lond0,latd0,itp),
+     |    scht  (levd0,lond0,latd0,itp),
+     |    op_i   (levd0,lond0,latd0,itp_sub),
+     |    op_nm_i(levd0,lond0,latd0,itp_sub),
+     |    op_i   (levd0,lond0,latd0,itc_sub), ! out
+     |    op_nm_i(levd0,lond0,latd0,itc_sub), ! out
+     |    xiop2p(levd0,lond0,latd0),          ! out
+     |    xiop2d(levd0,lond0,latd0),          ! out
+     |    Fe    (levd0,lond0,latd0),          ! out
+     |    Fn    (levd0,lond0,latd0),          ! out
+     |    1,nlevp1,lon0,lon1,lat0,lat1)
+        if (istep_sub /= nstep_sub) then
+          itmp = itp_sub
+          itp_sub = itc_sub
+          itc_sub = itmp
+        endif
+      enddo
+      op(:,:,:,itc) = op_i(:,:,:,itc_sub)
+      op_nm(:,:,:,itc) = op_nm_i(:,:,:,itc_sub)
       if (debug) write(6,"('dynamics after oplus')")
       call timer(time0,time1,'OPLUS',1,0) ! end oplus timing
       if (timing%level >= 2.and.time2print(nstep,istep))
@@ -350,8 +384,7 @@ subroutine dynamics(nstep,istep)
 !
       do lat=lat0,lat1
         call elden(
-     |    tn    (levd0,lond0,lat,itp),
-     |    barm  (levd0,lond0,lat,itp),
+     |    xnmbar(levd0,lond0,lat,itp),
      |    op    (levd0,lond0,lat,itp), ! O+ at current time step
      |    op    (levd0,lond0,lat,itc), ! O+ updated by sub oplus
      |    o2    (levd0,lond0,lat,itp),
@@ -362,7 +395,6 @@ subroutine dynamics(nstep,istep)
      |    n4s   (levd0,lond0,lat,itp),
      |    xiop2p(levd0,lond0,lat),      ! from oplus
      |    xiop2d(levd0,lond0,lat),      ! from oplus
-     |    z     (levd0,lond0,lat,itc),  ! updated Z from addiag
      |    nplus (levd0,lond0,lat),      ! N+  output
      |    n2p   (levd0,lond0,lat),      ! N2+ output
      |    nop   (levd0,lond0,lat),      ! NO+ output
@@ -372,6 +404,18 @@ subroutine dynamics(nstep,istep)
       enddo ! lat=lat0,lat1
       if (debug) write(6,"('dynamics after oplus')")
 !
+! Save diagnostic tec (total electron content):
+      call mkdiag_TEC('TEC',tec,z(:,:,:,itc),ne(:,:,:,itc),
+     |  k0,k1,i0,i1,lat0,lat1)
+!
+! Save diagnostics hmf2, nmf2:
+      call mkdiag_HNMF2('HMF2',z(:,:,:,itc),ne(:,:,:,itc),
+     |  k0,k1,i0,i1,lat0,lat1)
+      call mkdiag_HNMF2('NMF2',z(:,:,:,itc),ne(:,:,:,itc),
+     |  k0,k1,i0,i1,lat0,lat1)
+      call mkdiag_HNMF2('FOF2',z(:,:,:,itc),ne(:,:,:,itc),
+     |  k0,k1,i0,i1,lat0,lat1)
+!
 ! Ions and electron density are at interface levels (ilev):
       do lat=lat0,lat1
         if (diags) then
@@ -394,7 +438,7 @@ subroutine dynamics(nstep,istep)
       do lat=lat0,lat1
         call lamdas(
      |    tn  (levd0,lond0,lat,itp),
-     |    barm(levd0,lond0,lat,itp),
+     |    xnmbar(levd0,lond0,lat,itp),
      |    o2  (levd0,lond0,lat,itp),
      |    o1  (levd0,lond0,lat,itp),
      |    n2  (levd0,lond0,lat),
@@ -403,6 +447,7 @@ subroutine dynamics(nstep,istep)
      |    o2p (levd0,lond0,lat,itp),
      |    op  (levd0,lond0,lat,itp),
      |    nop (levd0,lond0,lat),
+     |    Etot(levd0,lond0,lat),
      |    lxx (levd0,lond0,lat), ! LXX output
      |    lyy (levd0,lond0,lat), ! LYY output
      |    lxy (levd0,lond0,lat), ! LXY output
@@ -410,6 +455,8 @@ subroutine dynamics(nstep,istep)
      |    lam1(levd0,lond0,lat), ! LAM1 output
      |    ped (levd0,lond0,lat), ! pedersen conductivity output
      |    hall(levd0,lond0,lat), ! hall conductivity output
+     |    Qa  (levd0,lond0,lat), ! electrojet turbulent heating output
+     |    Q2  (levd0,lond0,lat), ! electrojet turbulent heating output
      |    1,nlevp1,lon0,lon1,lat)
         if (debug) write(6,"('dynamics after lamdas: lat=',i3)") lat
         if (diags) then
@@ -435,13 +482,11 @@ subroutine dynamics(nstep,istep)
      |    o2  (levd0,lond0,lat,itp),
      |    o1  (levd0,lond0,lat,itp),
      |    no  (levd0,lond0,lat,itp),
-     |    n4s (levd0,lond0,lat,itp),
      |    ne  (levd0,lond0,lat,itp),
      |    op  (levd0,lond0,lat,itp),
      |    n2p (levd0,lond0,lat),
      |    nop (levd0,lond0,lat),
-     |    sco2(levd0,lond0,lat),
-     |    xnmbarm(levd0,lond0,lat),
+     |    xnmbar(levd0,lond0,lat,itp),
      |    n2d (levd0,lond0,lat,itc), ! N2D output
      |    1,nlevp1,lon0,lon1,lat)
         if (debug) write(6,"('dynamics after comp_n2d: lat=',i3)") lat
@@ -460,12 +505,11 @@ subroutine dynamics(nstep,istep)
       call timer(time0,time1,'CMPMINOR',0,0) ! resume comp minor timing
       do lat=lat0,lat1
         call comp_n4s(
-     |    tn     (levd0,lond0,lat,itp),  ! TN (deg K)
      |    o2     (levd0,lond0,lat,itp),  ! O2 (mmr)
      |    o1     (levd0,lond0,lat,itp),  ! O (mmr)
      |    n2     (levd0,lond0,lat),      ! N2 (mmr)
-     |    barm   (levd0,lond0,lat,itp),  ! mean mol weight
-     |    xnmbarm(levd0,lond0,lat),      ! p0*e(-z)*barm
+     |    xnmbar (levd0,lond0,lat,itp),  ! p0*e(-z)*mbar/kT
+     |    xnmbari(levd0,lond0,lat,itp),  ! p0*e(-z)*barm/kT
      |    no     (levd0,lond0,lat,itp),  ! NO
      |    n2d    (levd0,lond0,lat,itc),  ! N(2D) from comp_n2d
      |    ne     (levd0,lond0,lat,itp),  ! Ne
@@ -485,8 +529,11 @@ subroutine dynamics(nstep,istep)
      |    tn     (levd0,lond0,latd0,itp),  ! TN (deg K)
      |    o2     (levd0,lond0,latd0,itp),  ! O2 (mmr)
      |    o1     (levd0,lond0,latd0,itp),  ! O (mmr)
-     |    n2     (levd0,lond0,latd0),      ! N2 (mmr)
      |    he     (levd0,lond0,latd0,itp),  ! HE (mmr)
+     |    mbar   (levd0,lond0,latd0,itp),  ! mean molecular weight
+     |    barm   (levd0,lond0,latd0,itp),  ! mean molecular weight
+     |    xnmbar (levd0,lond0,latd0,itp),  ! p0*e(-z)*mbar/kT
+     |    w      (levd0,lond0,latd0,itc),  ! vertical wind
      |    n4s    (levd0,lond0,latd0,itp),  ! n4s from previous step
      |    n4s_nm (levd0,lond0,latd0,itp),  ! n4s at time n-1
      |    n4s    (levd0,lond0,latd0,itc),  ! output n4s
@@ -507,15 +554,13 @@ subroutine dynamics(nstep,istep)
       call timer(time0,time1,'CMPMINOR',0,0) ! resume comp minor timing
       do lat=lat0,lat1
         call comp_no(
-     |    tn     (levd0,lond0,lat,itp),
      |    o2     (levd0,lond0,lat,itp),
      |    o1     (levd0,lond0,lat,itp),
      |    n2     (levd0,lond0,lat),
-     |    barm   (levd0,lond0,lat,itp),
-     |    xnmbarm(levd0,lond0,lat),
+     |    xnmbar (levd0,lond0,lat,itp),
+     |    xnmbari(levd0,lond0,lat,itp),
      |    n4s    (levd0,lond0,lat,itp),
      |    n2d    (levd0,lond0,lat,itc),
-     |    ne     (levd0,lond0,lat,itp),
      |    o2p    (levd0,lond0,lat,itp),
      |    1,nlevp1,lon0,lon1,lat)
       enddo ! lat=lat0,lat1 
@@ -526,8 +571,11 @@ subroutine dynamics(nstep,istep)
      |    tn   (levd0,lond0,latd0,itp),  ! TN (deg K)
      |    o2   (levd0,lond0,latd0,itp),  ! O2 (mmr)
      |    o1   (levd0,lond0,latd0,itp),  ! O (mmr)
-     |    n2   (levd0,lond0,latd0),      ! N2 (mmr)
      |    he   (levd0,lond0,latd0,itp),  ! HE (mmr)
+     |    mbar (levd0,lond0,latd0,itp),  ! mean molecular weight
+     |    barm (levd0,lond0,latd0,itp),  ! mean molecular weight
+     |    xnmbar(levd0,lond0,latd0,itp), ! p0*e(-z)*mbar/kT
+     |    w    (levd0,lond0,latd0,itc),  ! vertical wind
      |    no   (levd0,lond0,latd0,itp),  ! current no
      |    no_nm(levd0,lond0,latd0,itp),  ! no at time n-1
      |    no   (levd0,lond0,latd0,itc),  ! output no
@@ -550,9 +598,7 @@ subroutine dynamics(nstep,istep)
 !
       call timer(time0,time1,'CMPMINOR',0,0) ! resume comp minor timing
       do lat=lat0,lat1
-        call comp_ar(
-     |    ar    (levd0,lond0,lat,itp),    ! argon from previous step
-     |    1,nlevp1,lon0,lon1,lat)
+        call comp_ar(lon0,lon1,lat)
         if (debug) write(6,"('dynamics after comp_ar: lat=',i3,
      |    ' istep=',i5)") lat,istep
       enddo ! lat=lat0,lat1
@@ -561,8 +607,11 @@ subroutine dynamics(nstep,istep)
      |  tn     (levd0,lond0,latd0,itp),   ! tn (deg K)
      |  o2     (levd0,lond0,latd0,itp),   ! o2 (mmr)
      |  o1     (levd0,lond0,latd0,itp),   ! o1 (mmr)
-     |  n2     (levd0,lond0,latd0),       ! n2 (mmr)
      |  he     (levd0,lond0,latd0,itp),   ! he (mmr)
+     |  mbar   (levd0,lond0,latd0,itp),   ! mean molecular weight
+     |  barm   (levd0,lond0,latd0,itp),   ! mean molecular weight
+     |  xnmbar (levd0,lond0,latd0,itp),   ! p0*e(-z)*mbar/kT
+     |  w      (levd0,lond0,latd0,itc),   ! vertical wind
      |  ar     (levd0,lond0,latd0,itp),   ! ar from previous step
      |  ar_nm  (levd0,lond0,latd0,itp),   ! ar at time n-1
      |  ar     (levd0,lond0,latd0,itc),   ! ar output
@@ -588,14 +637,13 @@ subroutine dynamics(nstep,istep)
 !
       do lat=lat0,lat1
         call qjnno(
-     |    tn   (levd0,lond0,lat,itp),
      |    o2   (levd0,lond0,lat,itp),
      |    o1   (levd0,lond0,lat,itp),
      |    ne   (levd0,lond0,lat,itp),
      |    no   (levd0,lond0,lat,itp),
      |    n4s  (levd0,lond0,lat,itp),
      |    n2d  (levd0,lond0,lat,itc), ! from comp_n2d
-     |    xnmbarm(levd0,lond0,lat),
+     |    xnmbar(levd0,lond0,lat,itp),
      |    1,nlevp1,lon0,lon1,lat)
       enddo
       if (debug) write(6,"('dynamics after qjnno')")
@@ -606,7 +654,6 @@ subroutine dynamics(nstep,istep)
 !
       do lat=lat0,lat1
         call qjion(
-     |    tn    (levd0,lond0,lat,itp),
      |    o2    (levd0,lond0,lat,itp),
      |    o1    (levd0,lond0,lat,itp),
      |    n2    (levd0,lond0,lat),
@@ -616,7 +663,8 @@ subroutine dynamics(nstep,istep)
      |    n2d   (levd0,lond0,lat,itp),
      |    no    (levd0,lond0,lat,itp),
      |    ne    (levd0,lond0,lat,itp),
-     |    barm  (levd0,lond0,lat,itp),
+     |    xnmbar(levd0,lond0,lat,itp),
+     |    xnmbari(levd0,lond0,lat,itp),
      |    n2p   (levd0,lond0,lat),     ! from elden
      |    nplus (levd0,lond0,lat),     ! from elden
      |    nop   (levd0,lond0,lat),     ! from elden
@@ -644,10 +692,10 @@ subroutine dynamics(nstep,istep)
      |    n2p(levd0,lond0,lat),     ! N2+ 1/cm^3
      |    nop(levd0,lond0,lat),     ! NO+  1/cm^3
      |    o2p(levd0,lond0,lat,itp), ! O2+  1/cm^3
-     |    barm(levd0,lond0,lat,itp),! mean molecular weight
-     |    tn  (levd0,lond0,lat,itp),! neutral temperature
+     |    mbar(levd0,lond0,lat,itp),! mean molecular weight
+     |    scht(levd0,lond0,lat,itp),! scale height
      |    qji_ti(levd0,lond0,lat),  ! ion joule heating output
-     |    1,nlevp1,lon0,lon1,lat)
+     |    1,nlevp1,lon0,lon1)
         if (debug) write(6,"('dynamics after qjoule_ti: lat=',i3)")lat
         if (diags) then
           call addfld('QJI_TI','Joule Heating for TI',' ',
@@ -665,8 +713,13 @@ subroutine dynamics(nstep,istep)
      |    op  (levd0,lond0,lat,itp),
      |    o2p (levd0,lond0,lat,itp),
      |    nop (levd0,lond0,lat),
-     |    barm(levd0,lond0,lat,itp),
+     |    xnmbar(levd0,lond0,lat,itp),
+     |    xnmbari(levd0,lond0,lat,itp),
+     |    scht(levd0,lond0,lat,itp),
+     |    schti(levd0,lond0,lat,itp),
      |    qji_ti(levd0,lond0,lat),
+     |    Qa  (levd0,lond0,lat),
+     |    Q2  (levd0,lond0,lat),
      |    te  (levd0,lond0,lat,itc), ! output
      |    ti  (levd0,lond0,lat,itc), ! output
      |    1,nlevp1,lon0,lon1,lat)
@@ -688,6 +741,7 @@ subroutine dynamics(nstep,istep)
      |    n2  (levd0,lond0,lat),
      |    no  (levd0,lond0,lat,itp), 
      |    barm(levd0,lond0,lat,itp), 
+     |    xnmbar(levd0,lond0,lat,itp),
      |    cp  (levd0,lond0,lat),
      |    cool_implicit(levd0,lond0,lat), ! output implicit cooling
      |    cool_explicit(levd0,lond0,lat), ! output explicit cooling
@@ -701,7 +755,7 @@ subroutine dynamics(nstep,istep)
      |    cp  (levd0,lond0,lat),
      |    cool_implicit(levd0,lond0,lat), ! output implicit cooling
      |    cool_explicit(levd0,lond0,lat), ! output explicit cooling
-     |    1,nlevp1,lon0,lon1,lat)
+     |    1,nlevp1,lon0,lon1)
         if (debug) write(6,"('dynamics after newto3p: lat=',i3)") lat
       enddo ! lat=lat0,lat1
       if (debug) write(6,"('dynamics after newton,newto3p')")
@@ -714,24 +768,25 @@ subroutine dynamics(nstep,istep)
         enddo
       endif
 !
-! Calculate horizontal diffusion terms for t,u,v,o2,o1, using
+! Calculate horizontal diffusion terms for t,u,v,o2,o1,he, using
 ! coefficients from hdif2 (hdif2 was called from advance).
 !
-! Make boundary longitudes available for inputs to hdif3:
-      call hdif_bndlons(kldt,kldu,kldv,kldo2,kldo1,kldhe,
+! Make boundary latitudes/longitudes available for inputs to hdif3:
+      call hdif_bndlatlons(kldt,kldu,kldv,kldo2,kldo1,kldhe,
      |    1,nlevp1,lon0,lon1,lat0,lat1)
-      if (debug) write(6,"('dynamics after hdif_bndlons')")
+      if (debug) write(6,"('dynamics after hdif_bndlatlons')")
 !
 ! Make hdt,u,v,o2,o1:
       do lat=lat0,lat1
         call hdif3(
      |    cp(levd0,lond0,lat),     ! specific heat input
-     |    kldt ,                   ! 3d input from hdif2 for tn
-     |    kldu ,                   ! 3d input from hdif2 for un
-     |    kldv ,                   ! 3d input from hdif2 for vn
-     |    kldo2,                   ! 3d input from hdif2 for o2
-     |    kldo1,                   ! 3d input from hdif2 for o1
-     |    kldhe,                   ! 3d input from hdif2 for he
+     |    fnrh (levd0,lond0,latd0),! 3d input
+     |    kldt (levd0,lond0,latd0),! 3d input from hdif2 for tn
+     |    kldu (levd0,lond0,latd0),! 3d input from hdif2 for un
+     |    kldv (levd0,lond0,latd0),! 3d input from hdif2 for vn
+     |    kldo2(levd0,lond0,latd0),! 3d input from hdif2 for o2
+     |    kldo1(levd0,lond0,latd0),! 3d input from hdif2 for o1
+     |    kldhe(levd0,lond0,latd0),! 3d input from hdif2 for he
      |    hdt (levd0,lond0,lat),   ! 2d tn output at current lat
      |    hdu (levd0,lond0,lat),   ! 2d un output at current lat
      |    hdv (levd0,lond0,lat),   ! 2d vn output at current lat
@@ -742,11 +797,6 @@ subroutine dynamics(nstep,istep)
       enddo ! lat=lat0,lat1
       if (debug) write(6,"('dynamics after hdif3')")
 !
-! Periodic points for horizontal diffusion terms output from hdif3:
-! This may not be necessary.
-!     call hdif_periodic(hdt,hdu,hdv,hdo2,hdo1,
-!    |    1,nlevp1,lon0,lon1,lat0,lat1)
-!
 ! Calculate joule heating for tn (3d field qji_tn):
       do lat=lat0,lat1
         call qjoule_tn(
@@ -757,8 +807,7 @@ subroutine dynamics(nstep,istep)
      |    vi (levd0,lond0,lat),     ! meridional ion velocity input
      |    wi (levd0,lond0,lat),     ! vertical ion velocity input
      |    lam1(levd0,lond0,lat),    ! lambda_1 ion drag coefficient
-     |    barm(levd0,lond0,lat,itp),! mean molecular weight
-     |    tn  (levd0,lond0,lat,itp),! neutral temperature
+     |    scht(levd0,lond0,lat,itp),! scale height
      |    qji_tn(levd0,lond0,lat),  ! ion joule heating output
      |    1,nlevp1,lon0,lon1,lat)
         if (diags) then
@@ -768,6 +817,10 @@ subroutine dynamics(nstep,istep)
       enddo ! lat=lat0,lat1
       if (debug) write(6,"('dynamics after qjoule_tn')")
 !
+! Save diagnostic Height-integrated Joule Heating:
+      call mkdiag_QJOULE_INTEG('QJOULE_INTEG',
+     |  qji_tn(:,i0:i1,lat0:lat1),k0,k1,i0,i1,lat0,lat1)
+!
 ! Calculate 2d (lon,lat) diagnostics for amie run:
 !
       if (iamie > 0) then
@@ -793,10 +846,11 @@ subroutine dynamics(nstep,istep)
      |  tn_nm   (levd0,lond0,latd0,itp),
      |  un	(levd0,lond0,latd0,itp),
      |  vn	(levd0,lond0,latd0,itp),
-     |  o2	(levd0,lond0,latd0,itp),
      |  o1	(levd0,lond0,latd0,itp),
-     |  n2	(levd0,lond0,latd0),
-     |  barm    (levd0,lond0,latd0,itp),  ! mean molecular weight
+     |  mbar  (levd0,lond0,latd0,itp),
+     |  xnmbar(levd0,lond0,latd0,itp),
+     |  scht  (levd0,lond0,latd0,itp),
+     |  schti (levd0,lond0,latd0,itp),
      |  cp	(levd0,lond0,latd0),	  ! specific heat	 (cpktkm.F)
      |  kt	(levd0,lond0,latd0),	  ! molecular diffusion  (cpktkm.F)
      |  km	(levd0,lond0,latd0),	  ! molecular viscosity  (cpktkm.F)
@@ -832,10 +886,9 @@ subroutine dynamics(nstep,istep)
      |  un_nm (levd0,lond0,latd0,itp), ! zonal velocity at time n-1
      |  vn_nm (levd0,lond0,latd0,itp), ! meridional velocity at time n-1
      |  w     (levd0,lond0,latd0,itc), ! updated vertical velocity (swdot.F)
-     |  o2    (levd0,lond0,latd0,itp), ! molecular oxygen at time n-1
-     |  o1    (levd0,lond0,latd0,itp), ! atomic oxygen at time n-1
-     |  n2    (levd0,lond0,latd0),     ! molecular nitrogen
-     |  barm  (levd0,lond0,latd0,itp), ! mean molecular weight
+     |  mbar  (levd0,lond0,latd0,itp), ! mean molecular weight
+     |  scht  (levd0,lond0,latd0,itp), ! scale height
+     |  schti (levd0,lond0,latd0,itp), ! scale height
      |  z     (levd0,lond0,latd0,itp), ! geopotential height
      |  hdu   (levd0,lond0,latd0),     ! horizontal diffusion of U (hdif3.F)
      |  hdv   (levd0,lond0,latd0),     ! horizontal diffusion of V (hdif3.F)
@@ -846,6 +899,8 @@ subroutine dynamics(nstep,istep)
      |  lxy   (levd0,lond0,latd0),     ! xy ion drag coefficient
      |  lyx   (levd0,lond0,latd0),     ! yx ion drag coefficient
      |  km    (levd0,lond0,latd0),     ! molecular viscosity  (cpktkm.F)
+     |  Fe    (levd0,lond0,latd0),     ! eastward field-aligned ion drag
+     |  Fn    (levd0,lond0,latd0),     ! northward field-aligned ion drag
      |  un    (levd0,lond0,latd0,itc), ! output updated un
      |  un_nm (levd0,lond0,latd0,itc), ! output updated un at time n-1
      |  vn    (levd0,lond0,latd0,itc), ! output updated vn
@@ -869,12 +924,9 @@ subroutine dynamics(nstep,istep)
 !
       do lat=lat0,lat1
         call comp_o2o(
-     |    tn   (levd0,lond0,lat,itp), ! neutral temperature
-     |    o2   (levd0,lond0,lat,itp), ! molecular oxygen (mmr)
      |    o1   (levd0,lond0,lat,itp), ! atomic oxygen (mmr)
-     |    n2   (levd0,lond0,lat),     ! molecular nitrogen (mmr)
-     |    he   (levd0,lond0,lat,itp), ! helium (mmr)
-     |    barm (levd0,lond0,lat,itp), ! mean molecular weight
+     |    mbar (levd0,lond0,lat,itp), ! mean molecular weight
+     |    xnmbar(levd0,lond0,lat,itp),! p0*e(-z)*mbar/kT
      |    op   (levd0,lond0,lat,itp), ! O+
      |    no   (levd0,lond0,lat,itp), ! NO
      |    n4s  (levd0,lond0,lat,itp), ! N(4S)
@@ -900,10 +952,8 @@ subroutine dynamics(nstep,istep)
      |  o1_nm (levd0,lond0,latd0,itp), ! O1 (mmr) at time n-1
      |  he    (levd0,lond0,latd0,itp), ! He (mmr)
      |  he_nm (levd0,lond0,latd0,itp), ! He (mmr) at time n-1
-     |  n2    (levd0,lond0,latd0),     ! N2 (mmr) input
-     |  un    (levd0,lond0,latd0,itp), ! zonal velocity
-     |  vn    (levd0,lond0,latd0,itp), ! meridional velocity
      |  w     (levd0,lond0,latd0,itp), ! vertical velocity
+     |  mbar  (levd0,lond0,latd0,itp), ! mean molecular weight
      |  hdo2  (levd0,lond0,latd0),     ! O2 horizontal diffusion (hdif3)
      |  hdo1  (levd0,lond0,latd0),     ! O  horizontal diffusion (hdif3)
      |  hdhe  (levd0,lond0,latd0),     ! He horizontal diffusion (hdif3)
diff --git a/src/dyndiag.F b/src/dyndiag.F
index 9749560..b48b711 100644
--- a/src/dyndiag.F
+++ b/src/dyndiag.F
@@ -1,10 +1,9 @@
-#include "defs.h"
       module dyndiag_module
       use params_module,only: nlonp1,nlonp4,nlat,nlevp1,nlatp1
       use addfld_module,only: addfld
       implicit none
 !
-      real, dimension(nlonp4,nlat) ::
+      real, dimension(:,:),allocatable ::
      |  sigp,    ! height integrated pedersen conductivity
      |  sigh,    ! height integrated hall conductivity
      |  qwind,   ! joule heating associated with neutral winds
@@ -14,12 +13,42 @@ module dyndiag_module
      |  fwindu,fwindv, ! horizontal current
      |  famieu,famiev, ! horizontal current from amie
      |  tec      ! total electron content
-      real, dimension(nlonp4,nlat,nlevp1) ::
+      real, dimension(:,:,:),allocatable ::
      |  qwind_sec,qamie_sec,work_sec,wtot_sec,fwindu_sec,
-     |  fwindv_sec,famieu_sec,famiev_sec,famie_sec,fwind_sec,
-     |  ftot_sec,tec_sec,ped_sec,hall_sec,qjoule_sec
+     |  fwindv_sec,famieu_sec,famiev_sec,
+     |  tec_sec,ped_sec,hall_sec,qjoule_sec
 !
       contains
+!-----------------------------------------------------------------------
+      subroutine alloc_dyndiag(lond0,lond1,latd0,latd1)
+
+      integer,intent(in) :: lond0,lond1,latd0,latd1
+
+      allocate(sigp(lond0:lond1,latd0:latd1))
+      allocate(sigh(lond0:lond1,latd0:latd1))
+      allocate(qwind(lond0:lond1,latd0:latd1))
+      allocate(qamie(lond0:lond1,latd0:latd1))
+      allocate(wtot(lond0:lond1,latd0:latd1))
+      allocate(work(lond0:lond1,latd0:latd1))
+      allocate(fwindu(lond0:lond1,latd0:latd1))
+      allocate(fwindv(lond0:lond1,latd0:latd1))
+      allocate(famieu(lond0:lond1,latd0:latd1))
+      allocate(famiev(lond0:lond1,latd0:latd1))
+      allocate(tec(lond0:lond1,latd0:latd1))
+      allocate(qwind_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(qamie_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(work_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(wtot_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(fwindu_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(fwindv_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(famieu_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(famiev_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(tec_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(ped_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(hall_sec(lond0:lond1,latd0:latd1,nlevp1))
+      allocate(qjoule_sec(lond0:lond1,latd0:latd1,nlevp1))
+
+      end subroutine alloc_dyndiag
 !-----------------------------------------------------------------------
       subroutine dyndiag(sigma1,sigma2,qji_tn,z,un,vn,ui,vi,
      |  lev0,lev1,lon0,lon1,lat)
@@ -241,156 +270,72 @@ subroutine dyndiag_sech(lon0,lon1,lev0,lev1,lat)
 !    |  'lon',lon0,lon1,'lev',lev0,lev1,lat)
       end subroutine dyndiag_sech
 !-----------------------------------------------------------------------
-#ifdef MPI
-      subroutine mp_dyndiag_gather
-      use mpi_module,only: mytid,lon0,lon1,lat0,lat1,mxlat,mxlon,
-     |  ntask,tasks,handle_mpi_err,mpi_real8,mpi_comm_world
-!
-! Local:
-      integer,parameter :: nfld=12
-      integer :: k,i,j,n,nn,ier,len,nlons,nlats,ifld,msgtag,ireqrecv,
-     |  ireqsend,ilon0,ilon1,ilat0,ilat1
-      integer :: idest = 0
-      real :: fmin,fmax
-      real,allocatable :: 
-     |  rcvbuf(:,:,:,:,:), ! Receive buffer for root task (i,j,k,ifld,ntask)
-     |  sndbuf(:,:,:,:)    ! Send buffer for slave tasks (i,j,k,ifld)
-      character(len=8) :: fnames(nfld) =
-     |  (/'PEDERSEN','HALL    ','QAMIE   ','QWIND   ','WTOT    ',
-     |    'WORK    ','DEN_TEC ','FAMIEU  ','FAMIEV  ','FWINDU  ',
-     |    'FWINDV  ','QJOULE  '/)
-!
-! Allocate send buffer for each task, and a receive buffer for the 
-! root task. (mxlon,mxlat are max number of lons,lats held by all tasks)
-!
-      allocate(rcvbuf(mxlon,mxlat,nlevp1,nfld,ntask),stat=ier)
-      if (ier /= 0)
-     |  write(6,"('>>> mp_dynamo_gather: error allocating rcvbuf:',
-     |    ' mxlon=',i3,' mxlat=',i3,' nlevp1=',i3,' nfld=',i3,
-     |    ' ntask=',i3,' ier=',i4)") mxlon,mxlat,nlevp1,nfld,ntask,ier
-!
-      allocate(sndbuf(mxlon,mxlat,nlevp1,nfld),stat=ier)
-      if (ier /= 0)
-     |  write(6,"('>>> mp_dynamo_gather: error allocating sndbuf:',
-     |    ' mxlon=',i3,' mxlat=',i3,' nlevp1=',i3,' nfld=',i3,
-     |    ' ier=',i4)") mxlon,mxlat,nlevp1,nfld,ier
-      len = mxlon*mxlat*nlevp1*nfld ! buffer length
-!
-! Non-root tasks send to master:
-      if (mytid /= 0) then  ! mytid /= 0
-        sndbuf(:,:,:,:) = 0.
-        nlons = lon1-lon0+1
-        nlats = lat1-lat0+1
-        do ifld=1,nfld
-          select case (ifld)
-          case(1)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        ped_sec(lon0:lon1,lat0:lat1,:)
-          case(2)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        hall_sec(lon0:lon1,lat0:lat1,:)
-          case(3)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        qamie_sec(lon0:lon1,lat0:lat1,:)
-          case(4)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        qwind_sec(lon0:lon1,lat0:lat1,:)
-          case(5)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        wtot_sec(lon0:lon1,lat0:lat1,:)
-          case(6)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        work_sec(lon0:lon1,lat0:lat1,:)
-          case(7)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        tec_sec(lon0:lon1,lat0:lat1,:)
-          case(8)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        famieu_sec(lon0:lon1,lat0:lat1,:)
-          case(9)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        famiev_sec(lon0:lon1,lat0:lat1,:)
-          case(10)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        fwindu_sec(lon0:lon1,lat0:lat1,:)
-          case(11)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        fwindv_sec(lon0:lon1,lat0:lat1,:)
-          case(12)
-            sndbuf(1:nlons,1:nlats,:,ifld) = 
-     |        qjoule_sec(lon0:lon1,lat0:lat1,:)
-          end select
-        enddo
-      endif
-!
-! Gather to root:
-      call mpi_gather(sndbuf,len,MPI_REAL8,rcvbuf,len,MPI_REAL8,0,
-     |  MPI_COMM_WORLD,ier)
-      if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_dynamo_gather: mpi_gather to root')
-!
-! Root sorts data from each task's subdomain into its global arrays:
-! (root task already defined its subdomain in prep_dynamo, so skip
-!  that part of the receive buffer (it sent zeroes to task 0 anyway,
-!  because task0 did not load the send buffer above).
-!
-      if (mytid==0) then
-        do n=1,ntask-1
-          nn = n+1
-          ilon0 = tasks(n)%lon0
-          ilon1 = tasks(n)%lon1
-          ilat0 = tasks(n)%lat0
-          ilat1 = tasks(n)%lat1
-          nlons = ilon1-ilon0+1
-          nlats = ilat1-ilat0+1
-          do ifld=1,nfld
-            select case (ifld)
-            case(1)
-              ped_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(2)
-              hall_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(3)
-              qamie_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(4)
-              qwind_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(5)
-              wtot_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(6)
-              work_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(7)
-              tec_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(8)
-              famieu_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(9)
-              famiev_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(10)
-              fwindu_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(11)
-              fwindv_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            case(12)
-              qjoule_sec(ilon0:ilon1,ilat0:ilat1,:) =
-     |          rcvbuf(1:nlons,1:nlats,:,ifld,nn)
-            end select
-          enddo ! ifld=1,nfld
-        enddo ! n=1,ntask-1 (receive from slaves only)
-      endif ! (mytid==0) then
-!
-! Release local buffer space:
-      deallocate(rcvbuf)
-      deallocate(sndbuf)
-!
-      end subroutine mp_dyndiag_gather
-#endif
-!-----------------------------------------------------------
+      subroutine dyndiag_bndlatlon
+
+      use mpi_module,only: lon0,lon1,lat0,lat1,
+     |  mp_bndlats_f2d,mp_bndlons_f2d,
+     |  mp_bndlats_f3d,mp_bndlons_f3d
+
+      integer,parameter :: nf2d = 11, nf3d = 12
+      real,dimension(lon0-2:lon1+2,lat0-2:lat1+2,nf2d) :: f2d
+      real,dimension(nlevp1,lon0-2:lon1+2,lat0-2:lat1+2,nf3d) :: f3d
+
+      f2d(:,:,1) = sigp
+      f2d(:,:,2) = sigh
+      f2d(:,:,3) = qwind
+      f2d(:,:,4) = qamie
+      f2d(:,:,5) = wtot
+      f2d(:,:,6) = work
+      f2d(:,:,7) = fwindu
+      f2d(:,:,8) = fwindv
+      f2d(:,:,9) = famieu
+      f2d(:,:,10) = famiev
+      f2d(:,:,11) = tec
+
+      call mp_bndlats_f2d(f2d,lon0,lon1,lat0,lat1,nf2d)
+      call mp_bndlons_f2d(f2d,lon0,lon1,lat0,lat1,nf2d)
+
+      sigp = f2d(:,:,1)
+      sigh = f2d(:,:,2)
+      qwind = f2d(:,:,3)
+      qamie = f2d(:,:,4)
+      wtot = f2d(:,:,5)
+      work = f2d(:,:,6)
+      fwindu = f2d(:,:,7)
+      fwindv = f2d(:,:,8)
+      famieu = f2d(:,:,9)
+      famiev = f2d(:,:,10)
+      tec = f2d(:,:,11)
+
+      f3d(:,:,:,1) = qwind_sec
+      f3d(:,:,:,2) = qamie_sec
+      f3d(:,:,:,3) = work_sec
+      f3d(:,:,:,4) = wtot_sec
+      f3d(:,:,:,5) = fwindu_sec
+      f3d(:,:,:,6) = fwindv_sec
+      f3d(:,:,:,7) = famieu_sec
+      f3d(:,:,:,8) = famiev_sec
+      f3d(:,:,:,9) = tec_sec
+      f3d(:,:,:,10) = ped_sec
+      f3d(:,:,:,11) = hall_sec
+      f3d(:,:,:,12) = qjoule_sec
+
+      call mp_bndlats_f3d(f3d,nlevp1,lon0,lon1,lat0,lat1,nf3d)
+      call mp_bndlons_f3d(f3d,nlevp1,lon0,lon1,lat0,lat1,nf3d,0)
+
+      qwind_sec = f3d(:,:,:,1)
+      qamie_sec = f3d(:,:,:,2)
+      work_sec = f3d(:,:,:,3)
+      wtot_sec = f3d(:,:,:,4)
+      fwindu_sec = f3d(:,:,:,5)
+      fwindv_sec = f3d(:,:,:,6)
+      famieu_sec = f3d(:,:,:,7)
+      famiev_sec = f3d(:,:,:,8)
+      tec_sec = f3d(:,:,:,9)
+      ped_sec = f3d(:,:,:,10)
+      hall_sec = f3d(:,:,:,11)
+      qjoule_sec = f3d(:,:,:,12)
+
+      end subroutine dyndiag_bndlatlon
+!-----------------------------------------------------------------------
       end module dyndiag_module
diff --git a/src/elden.F b/src/elden.F
index 5bcac06..dbdb078 100644
--- a/src/elden.F
+++ b/src/elden.F
@@ -1,6 +1,6 @@
 !
-      subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
-     |  xiop2d,z,nplus,n2p,nop,o2p,electrons,lev0,lev1,lon0,lon1,lat)
+      subroutine elden(xnmbar,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
+     |  xiop2d,nplus,n2p,nop,o2p,electrons,lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -9,13 +9,12 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 ! Solve for electron density.
 ! Also calculate ions N+ (nplus), N2+ (n2p), NO+ (nop), and O2+ (o2p).
 !
-      use cons_module,only: p0,expz,boltz,rmassinv_o2,rmassinv_n2d,
+      use cons_module,only: rmassinv_o2,rmassinv_n2d,
      |  rmassinv_o1,rmassinv_n2,rmassinv_no,rmassinv_n4s
       use chemrates_module,only: rk1,rk2,rk3,rk4,rk5,rk6,rk7,rk8,
      |  rk9,rk10,rk16,rk23,rk26,beta9,ra1,ra2,ra3
       use qrj_module,only: qnp,qnop,qo2p,qn2p
       use addfld_module,only: addfld
-      use diags_module,only: mkdiag_TEC,mkdiag_HNMF2
       implicit none
 !
 ! Args:
@@ -23,8 +22,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 !
 ! Input args: press vs longitude input fields (2d (k,i)):
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) :: 
-     |  tn,    ! neutral temperature (deg K)
-     |  barm,  ! mean molecular weight
+     |  xnmbar,! for conversion from mmr to cm3
      |  op,    ! O+ ion (current time-step)
      |  op_upd,! O+ ion (updated, from sub oplus)
      |  o2,    ! molecular oxygen (mmr)
@@ -34,8 +32,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
      |  no,    ! nitric oxide
      |  n4s,   ! n4s
      |  xiop2p,! from oplus
-     |  xiop2d,! from oplus
-     |  z      ! geopotential
+     |  xiop2d ! from oplus
 !
 ! Output args (particles/cm3):
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) :: 
@@ -48,20 +45,13 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 ! Local:
       integer :: k,i,i0,i1
       real,dimension(lev0:lev1,lon0:lon1) :: 
-     |  xnmbarm,        ! for conversion from mmr to cm3
      |  a0,a1,a2,a3,a4, ! coefficients for quartic solver
      |  a,b,c,d,e,fg,h, ! terms for quartic coefficients
      |  root            ! output from quartic solver
-      real,dimension(lon0:lon1) ::
-     |  tec		! diagnostic total electron content
 
 !     write(6,"('enter elden: lat=',i2)") lat
       i0 = lon0 ; i1 = lon1
 !
-!     call addfld('TN_ELD' ,' ',' ',tn    (:,i0:i1),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('BAR_ELD',' ',' ',barm  (:,i0:i1),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('OP_ELD' ,' ',' ',op    (:,i0:i1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('OP1_ELD',' ',' ',op_upd(:,i0:i1),
@@ -83,20 +73,18 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          xnmbarm(k,i) = p0*expz(k)*.5*(barm(k,i)+barm(k+1,i))/
-     |      (boltz*tn(k,i))
 !
 ! N+ ion (output):
           nplus(k,i) = (0.5*(qnp(k,i,lat)+qnp(k+1,i,lat))+
-     |      rk10*op(k,i)*n2d(k,i)*xnmbarm(k,i)*rmassinv_n2d) /
-     |      (xnmbarm(k,i)*((rk6+rk7)*o2(k,i)*rmassinv_o2+
+     |      rk10*op(k,i)*n2d(k,i)*xnmbar(k,i)*rmassinv_n2d) /
+     |      (xnmbar(k,i)*((rk6+rk7)*o2(k,i)*rmassinv_o2+
      |      rk8*o1(k,i)*rmassinv_o1))
 !
 ! Set up terms for quartic coefficients:
 !
 ! A = QI(NO+)+K2*N(O+)*N(N2)+K7*N(N+)*N(02)+B9*N(NO) (s10)
 !
-          a(k,i) = .5*(qnop(k,i,lat)+qnop(k+1,i,lat))+xnmbarm(k,i)*
+          a(k,i) = .5*(qnop(k,i,lat)+qnop(k+1,i,lat))+xnmbar(k,i)*
      |      (rk2(k,i,lat)*op_upd(k,i)*n2(k,i)*rmassinv_n2+
      |       rk7*nplus(k,i)*o2(k,i)*rmassinv_o2+
      |       .5*(beta9(k,i,lat)+beta9(k+1,i,lat))*no(k,i)*rmassinv_no)
@@ -104,13 +92,13 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 ! B = QI(O2+)+K1*N(O+)*N(O2)+K6*N(N+)*N(02) (s9)
 ! (very small "diamond diffs" with tgcm15 due to op_upd)
 !
-          b(k,i) = .5*(qo2p(k,i,lat)+qo2p(k+1,i,lat))+xnmbarm(k,i)*
+          b(k,i) = .5*(qo2p(k,i,lat)+qo2p(k+1,i,lat))+xnmbar(k,i)*
      |      (rk1(k,i,lat)*op_upd(k,i)+rk6*nplus(k,i))*o2(k,i)*
      |       rmassinv_o2+rk26*xiop2d(k,i)*o2(k,i)*rmassinv_o2
 !
 ! C = K4*N(N4S)+K5*N(NO) (s8)
 !
-          c(k,i) = xnmbarm(k,i)*(rk4*n4s(k,i)*rmassinv_n4s+
+          c(k,i) = xnmbar(k,i)*(rk4*n4s(k,i)*rmassinv_n4s+
      |       rk5*no(k,i)*rmassinv_no)
 !
 ! D = QI(N2+) (s7)
@@ -120,7 +108,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 !
 ! E =K3*N(O)+K9*N(O2) (s6)
 !
-          e(k,i) = xnmbarm(k,i)*(rk3(k,i,lat)*o1(k,i)*rmassinv_o1+
+          e(k,i) = xnmbar(k,i)*(rk3(k,i,lat)*o1(k,i)*rmassinv_o1+
      |       rk9*o2(k,i)*rmassinv_o2)
 !
 ! F+G = N(O+)+N(N+) (s5)
@@ -130,7 +118,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 !
 ! H = K9*N(02)
 !
-          h(k,i) = xnmbarm(k,i)*rk9*o2(k,i)*rmassinv_o2
+          h(k,i) = xnmbar(k,i)*rk9*o2(k,i)*rmassinv_o2
 !
 ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 ! Coefficients for quartic solver: a0,a1,a2,a3,a4
@@ -164,7 +152,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !
-!     call addfld('XNMBARM' ,' ',' ',xnmbarm,
+!     call addfld('XNMBAR' ,' ',' ',xnmbar(:,i0:i1),
 !    |  'lev',lev0,lev1,'lon',i0,i1,lat)
 !     call addfld('NPLUS'   ,' ',' ',nplus(:,i0:i1),
 !    |  'lev',lev0,lev1,'lon',i0,i1,lat)
@@ -188,7 +176,7 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
 !
 ! Solve quartic. Vquart returns electron density Ne in root:
 !
-      call vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1,lat)
+      call vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1)
 
 !     call addfld('ROOT',' ',' ',root,'lev',lev0,lev1,'lon',i0,i1,lat)
 !
@@ -242,19 +230,11 @@ subroutine elden(tn,barm,op,op_upd,o2,o1,n2,n2d,no,n4s,xiop2p,
         electrons(lev1,i) = sqrt(root(lev1-1,i)**3/root(lev1-2,i))
       enddo ! i=lon0,lon1
 !     call addfld('NE_ELDEN',' ',' ',electrons(:,i0:i1),
-!    |  'ilev',lev0,lev1,'lon',i0,i1,lat)
-!
-! Save diagnostic tec (total electron content):
-      call mkdiag_TEC('TEC',tec,z,electrons,lev0,lev1,lon0,lon1,lat)
-!
-! Save diagnostics hmf2, nmf2:
-      call mkdiag_HNMF2('HMF2',z,electrons,lev0,lev1,lon0,lon1,lat)
-      call mkdiag_HNMF2('NMF2',z,electrons,lev0,lev1,lon0,lon1,lat)
-      call mkdiag_HNMF2('FOF2',z,electrons,lev0,lev1,lon0,lon1,lat)
+!    |  'lev',lev0,lev1,'lon',i0,i1,lat)
 
       end subroutine elden
 !-----------------------------------------------------------------------
-      subroutine vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1,lat)
+      subroutine vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1)
       use addfld_module,only: addfld
       implicit none
 !
@@ -267,7 +247,7 @@ subroutine vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1,lat)
 ! This is called by elden for electron density.
 ! 
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,dimension(lev0:lev1,lon0:lon1),intent(in)  :: a0,a1,a2,a3,a4
       real,dimension(lev0:lev1,lon0:lon1),intent(out) :: root
 !
@@ -327,9 +307,4 @@ subroutine vquart(a0,a1,a2,a3,a4,root,lev0,lev1,lon0,lon1,lat)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
-!     call addfld('W1'    ,' ',' ',w1,'lev',lev0,lev1,'lon',i0,i1,lat)
-!     call addfld('W2'    ,' ',' ',w2,'lev',lev0,lev1,'lon',i0,i1,lat)
-!     call addfld('W3'    ,' ',' ',w3,'lev',lev0,lev1,'lon',i0,i1,lat)
-!     call addfld('VQROOT',' ',' ',root,'lev',lev0,lev1,'lon',i0,i1,lat)
-
       end subroutine vquart
diff --git a/src/esmf.F b/src/esmf.F
index 7fb6912..7d339e7 100644
--- a/src/esmf.F
+++ b/src/esmf.F
@@ -12,7 +12,8 @@ module my_esmf
       use params_module,only: gmlon,gmlat,glat,glon,nlev,nlevp1,nlon,
      |  nlat,nmlon,nmlat,mlev0,mlev1
       use mpi_module,only: tasks,lon0,lon1,lat0,lat1,ntask,
-     |  ntaski,ntaskj,nmagtaski,nmagtaskj,mlon0,mlon1,mlat0,mlat1,mytid
+     |  ntaski,ntaskj,nmagtaski,nmagtaskj,mlon0,mlon1,mlat0,mlat1,mytid,
+     |  TIEGCM_WORLD
       use getapex_module,only: gdlatdeg,gdlondeg ! (nmlonp1,nmlat)
       implicit none
 !
@@ -37,10 +38,8 @@ module my_esmf
 ! 2d (i,j) ESMF fields on magnetic subdomains:
       type(ESMF_Field),save :: mag_sini, mag_adota1, mag_adota2,
      |  mag_a1dta2, mag_be3
-#if defined(INTERCOMM) || defined(CISMAH)
       type(ESMF_Field),save :: mag_zigm1, mag_zigm2, mag_nsrhs
       type(ESMF_Field),save :: geo_zigm1, geo_zigm2, geo_nsrhs
-#endif
 !
 ! 3d electric potential for mag to geo regridding:
       type(ESMF_Field),save :: mag_phi3d,mag_ephi3d,mag_elam3d,mag_emz3d
@@ -53,38 +52,26 @@ module my_esmf
       contains
 !-----------------------------------------------------------------------
       subroutine esmf_init
-      use cons_module,only: rtd
 !
 ! Called once per run at model initialization.
 ! Create ESMF grids for geographic and magnetic, and create ESMF fields
 !   as necessary on both grids. Define the 2d coordinates for each grid,
 !   and save an ESMF routehandles for geo2mag and mag2geo regridding.
 !
-      integer :: rc,istat
+      integer :: rc
       integer(ESMF_KIND_I4),pointer :: factorIndexList(:,:) ! esmf (2,nw)
       real(ESMF_KIND_R8),pointer :: factorList(:)           ! esmf weights (nw)
-!
-! Global geo indices for geo2mag with all 4 corners. nlat+2 includes poles
-! (Used for diagnostics only)
-      integer(ESMF_KIND_I4) :: geoIndex_g2m(nlon,nlat+2) 
-      integer(ESMF_KIND_I4),pointer :: geoIndexSeq_g2m(:)  ! reshaped geoIndex
-      integer(ESMF_KIND_I4),pointer :: magIndex_g2m(:,:)   ! nmlatlons,nmaglats
-      integer(ESMF_KIND_I4),pointer :: magIndexSeq_g2m(:)  ! reshaped magIndex
-!
-! Global mag indices for mag2geo for diagnostic/debug:
-      integer(ESMF_KIND_I4) :: magIndex_m2g(nmlon,nmlat) 
-      integer(ESMF_KIND_I4),pointer :: magIndexSeq_m2g(:)  ! reshaped magIndex
-      integer(ESMF_KIND_I4),pointer :: geoIndex_m2g(:,:)   ! nlonp4,nlat+2
-      integer(ESMF_KIND_I4),pointer :: geoIndexSeq_m2g(:)  ! reshaped geoIndex
-
       real(ESMF_KIND_R8),pointer :: fptr(:,:,:)  ! for info only
       integer :: lbnd_destgeo(3),ubnd_destgeo(3) ! 3d bounds of destination geo grid
       integer :: lbnd_destmag(3),ubnd_destmag(3) ! 3d bounds of destination mag grid
-      integer :: lbnd_srcgeo(3),ubnd_srcgeo(3)   ! 3d bounds of source geo grid
       integer :: lbnd_srcmag(3),ubnd_srcmag(3)   ! 3d bounds of source mag grid
+      integer :: srcTermProcessing
+!
+      srcTermProcessing = 0
 !
 ! Open esmf:
-      call ESMF_Initialize(logkindflag=ESMF_LOGKIND_MULTI,rc=rc)
+      call ESMF_Initialize(mpiCommunicator=TIEGCM_WORLD,
+     |  logkindflag=ESMF_LOGKIND_MULTI,rc=rc)
 !
 ! Make magnetic and geographic grids for geo2mag regridding:
       call create_geo_grid(geo_src_grid,'src')  ! geo source grid
@@ -99,43 +86,29 @@ subroutine esmf_init
 !   assign any values.
 !
 ! 3d fields on source geo grid (these exclude periodic points):
-      call esmf_create_geofield(geo_ped,geo_src_grid,'PED     ' ,
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_hal ,geo_src_grid,'HAL     ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_zpot,geo_src_grid,'ZPOT    ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_adotv1,geo_src_grid,'ADOTV1  ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_adotv2,geo_src_grid,'ADOTV2  ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_je1pg,geo_src_grid,'JE1PG   ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_je2pg,geo_src_grid,'JE2PG   ',
-     |  mlev0,mlev1)
+      call esmf_create_geofield(geo_ped,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_hal ,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_zpot,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_adotv1,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_adotv2,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_je1pg,geo_src_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_je2pg,geo_src_grid,mlev0,mlev1)
 !
 ! 2d fields on source geo grid (these exclude periodic points:
-      call esmf_create_geofield(geo_sini  ,geo_src_grid,'SINI    ',0,0)
-      call esmf_create_geofield(geo_adota1,geo_src_grid,'ADOTA1  ',0,0)
-      call esmf_create_geofield(geo_adota2,geo_src_grid,'ADOTA2  ',0,0)
-      call esmf_create_geofield(geo_a1dta2,geo_src_grid,'A1DTA2  ',0,0)
-      call esmf_create_geofield(geo_be3   ,geo_src_grid,'BE3     ',0,0)
+      call esmf_create_geofield(geo_sini  ,geo_src_grid,0,0)
+      call esmf_create_geofield(geo_adota1,geo_src_grid,0,0)
+      call esmf_create_geofield(geo_adota2,geo_src_grid,0,0)
+      call esmf_create_geofield(geo_a1dta2,geo_src_grid,0,0)
+      call esmf_create_geofield(geo_be3   ,geo_src_grid,0,0)
 !
 ! 3d fields on destination mag grid (will include periodic point):
-      call esmf_create_magfield(mag_ped ,mag_des_grid,'PED     ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_hal ,mag_des_grid,'HAL     ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_zpot,mag_des_grid,'ZPOT    ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_adotv1,mag_des_grid,'ADOTV1  ' ,
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_adotv2,mag_des_grid,'ADOTV2  ' ,
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_je1pg,mag_des_grid,'JE1PG   ' ,
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_je2pg,mag_des_grid,'JE2PG   ' ,
-     |  mlev0,mlev1)
+      call esmf_create_magfield(mag_ped ,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_hal ,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_zpot,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_adotv1,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_adotv2,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_je1pg,mag_des_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_je2pg,mag_des_grid,mlev0,mlev1)
 !
 ! Get 3d bounds of destination mag field:
       call ESMF_FieldGet(mag_ped,localDe=0,farrayPtr=fptr,
@@ -145,45 +118,33 @@ subroutine esmf_init
 !    |  lbnd_destmag,ubnd_destmag
 !
 ! 2d fields on destination mag grid (will include periodic point):
-      call esmf_create_magfield(mag_sini  ,mag_des_grid,'SINI    ',0,0)
-      call esmf_create_magfield(mag_adota1,mag_des_grid,'ADOTA1  ',0,0)
-      call esmf_create_magfield(mag_adota2,mag_des_grid,'ADOTA2  ',0,0)
-      call esmf_create_magfield(mag_a1dta2,mag_des_grid,'A1DTA2  ',0,0)
-      call esmf_create_magfield(mag_be3   ,mag_des_grid,'BE3     ',0,0)
-!
-! 2d source mag grid for CISM
-#if defined(INTERCOMM) || defined(CISMAH)
-      call esmf_create_magfield(mag_zigm1 ,mag_src_grid,'ZIGM1 ',0,0)
-      call esmf_create_magfield(mag_zigm2 ,mag_src_grid,'ZIGM2 ',0,0)
-      call esmf_create_magfield(mag_nsrhs ,mag_src_grid,'NSRHS ',0,0)
-#endif
+      call esmf_create_magfield(mag_sini  ,mag_des_grid,0,0)
+      call esmf_create_magfield(mag_adota1,mag_des_grid,0,0)
+      call esmf_create_magfield(mag_adota2,mag_des_grid,0,0)
+      call esmf_create_magfield(mag_a1dta2,mag_des_grid,0,0)
+      call esmf_create_magfield(mag_be3   ,mag_des_grid,0,0)
+!
+! 2d source mag grid for MAGE
+      call esmf_create_magfield(mag_zigm1 ,mag_src_grid,0,0)
+      call esmf_create_magfield(mag_zigm2 ,mag_src_grid,0,0)
+      call esmf_create_magfield(mag_nsrhs ,mag_src_grid,0,0)
 !
 ! 3d fields on source mag grid for mag2geo:
-      call esmf_create_magfield(mag_phi3d ,mag_src_grid,'PHIM3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_ephi3d,mag_src_grid,'EPHI3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_elam3d,mag_src_grid,'ELAM3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_magfield(mag_emz3d ,mag_src_grid,'EMZ3D   ',
-     |  mlev0,mlev1)
+      call esmf_create_magfield(mag_phi3d ,mag_src_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_ephi3d,mag_src_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_elam3d,mag_src_grid,mlev0,mlev1)
+      call esmf_create_magfield(mag_emz3d ,mag_src_grid,mlev0,mlev1)
 !
 ! 2d fields on destination geo grid for mag2geo:
-#if defined(INTERCOMM) || defined(CISMAH)
-      call esmf_create_geofield(geo_zigm1 ,geo_des_grid,'ZIGM1 ',0,0)
-      call esmf_create_geofield(geo_zigm2 ,geo_des_grid,'ZIGM2 ',0,0)
-      call esmf_create_geofield(geo_nsrhs ,geo_des_grid,'NSRHS ',0,0)
-#endif
+      call esmf_create_geofield(geo_zigm1 ,geo_des_grid,0,0)
+      call esmf_create_geofield(geo_zigm2 ,geo_des_grid,0,0)
+      call esmf_create_geofield(geo_nsrhs ,geo_des_grid,0,0)
 !
 ! 3d fields on destination geo grid for mag2geo:
-      call esmf_create_geofield(geo_phi3d ,geo_des_grid,'PHIG3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_ephi3d,geo_des_grid,'EPHI3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_elam3d,geo_des_grid,'ELAM3D  ',
-     |  mlev0,mlev1)
-      call esmf_create_geofield(geo_emz3d ,geo_des_grid,'EMZ3D   ',
-     |  mlev0,mlev1)
+      call esmf_create_geofield(geo_phi3d ,geo_des_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_ephi3d,geo_des_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_elam3d,geo_des_grid,mlev0,mlev1)
+      call esmf_create_geofield(geo_emz3d ,geo_des_grid,mlev0,mlev1)
 !
 ! Get 3d bounds of source mag field:
       call ESMF_FieldGet(mag_phi3d,localDe=0,farrayPtr=fptr,
@@ -241,7 +202,8 @@ subroutine esmf_init
 !
 ! Use esmf index list and weights for 3d fields:
       call ESMF_FieldSMMStore(geo_ped,mag_ped,routehandle_geo2mag,
-     |  factorList,factorIndexList,rc=rc) 
+     |  factorList,factorIndexList,rc=rc,
+     |  srcTermProcessing=srcTermProcessing) 
 
       if (rc /= ESMF_SUCCESS) then
         write(6,"('>>> esmf_init: error return from ',
@@ -253,7 +215,8 @@ subroutine esmf_init
 !
 ! Use esmf index list and weights for 2d fields:
       call ESMF_FieldSMMStore(geo_sini,mag_sini,routehandle_geo2mag_2d,
-     |  factorList,factorIndexList,rc=rc) 
+     |  factorList,factorIndexList,rc=rc,
+     |  srcTermProcessing=srcTermProcessing) 
  
       if (rc /= ESMF_SUCCESS) then
         write(6,"('>>> esmf_init: error return from ',
@@ -286,7 +249,8 @@ subroutine esmf_init
 !
 ! Use esmf index list and weights for 3d fields:
       call ESMF_FieldSMMStore(mag_phi3d,geo_phi3d,routehandle_mag2geo,
-     |  factorList,factorIndexList,rc=rc) 
+     |  factorList,factorIndexList,rc=rc,
+     |  srcTermProcessing=srcTermProcessing) 
 
       if (rc /= ESMF_SUCCESS) then
         write(6,"('>>> esmf_init: error return from ',
@@ -297,7 +261,6 @@ subroutine esmf_init
 ! mag2geo 2d fields:
 !
 ! Use esmf index list and weights for 3d fields:
-#if defined(INTERCOMM) || defined(CISMAH)
       call ESMF_FieldRegridStore(srcField=mag_zigm1,dstField=geo_zigm1, 
      |  regridMethod=ESMF_REGRIDMETHOD_BILINEAR,
      |  polemethod=ESMF_POLEMETHOD_ALLAVG,
@@ -312,14 +275,14 @@ subroutine esmf_init
       endif
 
       call ESMF_FieldSMMStore(mag_zigm1,geo_zigm1,
-     |  routehandle_mag2geo_2d, factorList,factorIndexList,rc=rc) 
+     |  routehandle_mag2geo_2d, factorList,factorIndexList,rc=rc,
+     |  srcTermProcessing=srcTermProcessing) 
 
       if (rc /= ESMF_SUCCESS) then
         write(6,"('>>> esmf_init: error return from ',
      |    'ESMF_FieldSMMStore for 2d mag2geo: rc=',i4)") rc
         call shutdown('ESMF_FieldSMMStore')
       endif
-#endif
 
       end subroutine esmf_init
 !-----------------------------------------------------------------------
@@ -333,12 +296,11 @@ subroutine create_mag_grid(grid_out,srcdes)
       character(len=*),intent(in) :: srcdes
 !
 ! Local:
-      integer :: i,j,k,n,rc,istat
+      integer :: i,j,n,rc,istat
       integer :: lbnd(2),ubnd(2)
       real(ESMF_KIND_R8),pointer :: coordX(:,:),coordY(:,:)
       integer,allocatable :: nmlons_task(:) ! dim nmagtaski
       integer,allocatable :: nmlats_task(:) ! dim nmagtaskj
-      type(ESMF_VM) :: vm
 !
 ! We are creating either a source grid or a destination grid:
       if (srcdes /= 'src' .and. srcdes /= 'des') then
@@ -469,7 +431,7 @@ subroutine create_geo_grid(grid_out,srcdes)
       character(len=*),intent(in) :: srcdes
 !
 ! Local:
-      integer :: i,j,k,n,rc,istat,lbnd_lat,ubnd_lat,lbnd_lon,ubnd_lon,
+      integer :: i,j,n,rc,istat,lbnd_lat,ubnd_lat,lbnd_lon,ubnd_lon,
      |  lbnd(1),ubnd(1)
       real(ESMF_KIND_R8),pointer :: coordX(:),coordY(:)
       integer,allocatable :: nlons_task(:) ! dim ntaski
@@ -637,7 +599,7 @@ subroutine create_geo_grid(grid_out,srcdes)
 
       end subroutine create_geo_grid
 !-----------------------------------------------------------------------
-      subroutine esmf_create_geofield(field,grid,name,mlev0,mlev1)
+      subroutine esmf_create_geofield(field,grid,mlev0,mlev1)
 !
 ! Create ESMF field (2d or 3d) on geo grid (will exclude periodic points)
 ! If mlev1 == 0, field is 2d (i,j), otherwise field is 3d,
@@ -647,7 +609,6 @@ subroutine esmf_create_geofield(field,grid,name,mlev0,mlev1)
 ! Args:
       integer,intent(in) :: mlev0,mlev1 ! if mlev0,1==0, field is 2d (i,j)
       type(ESMF_Grid),intent(in) :: grid
-      character(len=*),intent(in) :: name
       type(ESMF_Field),intent(out) :: field
 !
 ! Local:
@@ -664,8 +625,7 @@ subroutine esmf_create_geofield(field,grid,name,mlev0,mlev1)
      |    staggerloc=ESMF_STAGGERLOC_CENTER, rc=rc)
 
         if (rc /= ESMF_SUCCESS) call shutdown('ESMF_FieldCreate 3d')
-!       write(6,"('Created 3d (i,j,k) esmf geo field ',a)") 
-!    |    name
+!       write(6,"('Created 3d (i,j,k) esmf geo field ')")
 !
 ! Create 2d field (i,j):
       else                ! create 2d field
@@ -674,11 +634,11 @@ subroutine esmf_create_geofield(field,grid,name,mlev0,mlev1)
         field = ESMF_FieldCreate(grid, arrayspec, 
      |    staggerloc=ESMF_STAGGERLOC_CENTER, rc=rc)
         if (rc /= ESMF_SUCCESS) call shutdown('ESMF_FieldCreate 2d')
-!       write(6,"('Created 2d (i,j) esmf geo field ',a)") name
+!       write(6,"('Created 2d (i,j) esmf geo field ')")
       endif
       end subroutine esmf_create_geofield
 !-----------------------------------------------------------------------
-      subroutine esmf_create_magfield(field,grid,name,mlev0,mlev1)
+      subroutine esmf_create_magfield(field,grid,mlev0,mlev1)
 !
 ! Create ESMF field (2d or 3d) on mag grid. This will include the
 !   mag periodic point, which will be zero after regridding.
@@ -688,7 +648,6 @@ subroutine esmf_create_magfield(field,grid,name,mlev0,mlev1)
 ! Args:
       integer,intent(in) :: mlev0,mlev1
       type(ESMF_Grid),intent(in) :: grid
-      character(len=*),intent(in) :: name
       type(ESMF_Field),intent(out) :: field
 !
 ! Local:
@@ -739,7 +698,7 @@ subroutine esmf_create_magfield(field,grid,name,mlev0,mlev1)
       endif
       end subroutine esmf_create_magfield
 !-----------------------------------------------------------------------
-      subroutine esmf_set3d_geo(fields,fnames,f,nf,ilev0,ilev1,
+      subroutine esmf_set3d_geo(fields,f,nf,ilev0,ilev1,
      |  ilon0,ilon1,ilat0,ilat1)
 !
 ! Set values of a 3d ESMF field on geographic source grid, prior to
@@ -750,7 +709,6 @@ subroutine esmf_set3d_geo(fields,fnames,f,nf,ilev0,ilev1,
 ! Args:
       integer,intent(in) :: nf
       type(ESMF_Field) ,intent(in) :: fields(nf) ! esmf fields on geo grid
-      character(len=*) ,intent(in) :: fnames(nf) ! field names
 !
 ! f is input data on model subdomains (including periodic points)
 ! (note esmf source field excludes periodic points)
@@ -760,7 +718,6 @@ subroutine esmf_set3d_geo(fields,fnames,f,nf,ilev0,ilev1,
 ! Local:
       integer,parameter :: mxf=8 ! for call by dynamo_inputs
       integer :: i,j,k,rc,n,istat
-      integer,save :: ncalls=0
       integer,save :: lbnd(3),ubnd(3) ! lower,upper bounds of 3d field
 !
 ! fptr is esmf pointer (i,j,k) to 3d field, set by this subroutine
@@ -835,8 +792,7 @@ subroutine esmf_set3d_geo(fields,fnames,f,nf,ilev0,ilev1,
       deallocate(ftmp)
       end subroutine esmf_set3d_geo
 !-----------------------------------------------------------------------
-      subroutine esmf_set2d_geo(field,grid,fname,f,ilon0,ilon1,
-     |  ilat0,ilat1)
+      subroutine esmf_set2d_geo(field,f,ilon0,ilon1,ilat0,ilat1)
 !
 ! Set values of a 2d ESMF field on geographic source grid, prior to
 !   geographic to magnetic grid transformation. (Essentially the same
@@ -845,8 +801,6 @@ subroutine esmf_set2d_geo(field,grid,fname,f,ilon0,ilon1,
 !
 ! Args:
       type(ESMF_Field) ,intent(in) :: field
-      type(ESMF_Grid)  ,intent(in) :: grid
-      character(len=*) ,intent(in) :: fname  ! field name
       integer      ,intent(in) :: ilon0,ilon1,ilat0,ilat1
       real         ,intent(in) :: f(ilon0:ilon1,ilat0:ilat1)
 !
@@ -875,14 +829,14 @@ subroutine esmf_set2d_geo(field,grid,fname,f,ilon0,ilon1,
         endif       ! interior latitudes only
       enddo
 !
-!     write(6,"('esmf_set2d_geo field ',a,': lon bnds=',2i4,
+!     write(6,"('esmf_set2d_geo field: lon bnds=',2i4,
 !    |  ' lat bnds=',2i4,' 2d mnmx=',2e12.4)") 
-!    |  fname,lbnd(1),ubnd(1),lbnd(2),ubnd(2),
+!    |  lbnd(1),ubnd(1),lbnd(2),ubnd(2),
 !    |  minval(fptr(:,:)),maxval(fptr(:,:))
 
       end subroutine esmf_set2d_geo
 !-----------------------------------------------------------------------
-      subroutine esmf_set3d_mag(fields,fnames,f,nf,ilev0,ilev1,
+      subroutine esmf_set3d_mag(fields,f,nf,ilev0,ilev1,
      |  ilon0,ilon1,ilat0,ilat1)
 !
 ! Set values of a 3d ESMF field on magnetic grid, prior to magnetic to 
@@ -891,7 +845,6 @@ subroutine esmf_set3d_mag(fields,fnames,f,nf,ilev0,ilev1,
 ! Args:
       integer,intent(in) :: nf
       type(ESMF_Field) ,intent(in) :: fields(nf) ! esmf fields on mag grid
-      character(len=*) ,intent(in) :: fnames(nf) ! field names
 !
 ! f is input data on model subdomains:
 ! (note esmf source field excludes periodic points)
@@ -899,8 +852,8 @@ subroutine esmf_set3d_mag(fields,fnames,f,nf,ilev0,ilev1,
       real,intent(in) :: f(ilon0:ilon1,ilat0:ilat1,ilev0:ilev1,nf)
 !
 ! Local:
-      integer :: i,j,k,rc,n,istat
-      integer,save :: ncalls=0,lbnd(3),ubnd(3) ! lower,upper bounds of 3d field
+      integer :: i,j,k,rc,n
+      integer,save :: lbnd(3),ubnd(3) ! lower,upper bounds of 3d field
 !
 ! fptr is esmf pointer (i,j,k) to 3d field, set by this subroutine
       real(ESMF_KIND_R8),pointer :: fptr(:,:,:)
@@ -924,9 +877,7 @@ subroutine esmf_set3d_mag(fields,fnames,f,nf,ilev0,ilev1,
       enddo       ! n=1,nf
       end subroutine esmf_set3d_mag
 !-----------------------------------------------------------------------
-#if defined(INTERCOMM) || defined(CISMAH)
-      subroutine esmf_set2d_mag(fields,fnames,f,nf,
-     |  ilon0,ilon1,ilat0,ilat1)
+      subroutine esmf_set2d_mag(fields,f,nf,ilon0,ilon1,ilat0,ilat1)
 !
 ! Set values of a 2d ESMF field on magnetic grid, prior to magnetic to 
 ! geographic grid transformation.
@@ -934,7 +885,6 @@ subroutine esmf_set2d_mag(fields,fnames,f,nf,
 ! Args:
       integer,intent(in) :: nf
       type(ESMF_Field) ,intent(in) :: fields(nf) ! esmf fields on mag grid
-      character(len=*) ,intent(in) :: fnames(nf) ! field names
 !
 ! f is input data on model subdomains:
 ! (note esmf source field excludes periodic points)
@@ -942,8 +892,8 @@ subroutine esmf_set2d_mag(fields,fnames,f,nf,
       real,intent(in) :: f(ilon0:ilon1,ilat0:ilat1,nf)
 !
 ! Local:
-      integer :: i,j,rc,n,istat
-      integer,save :: ncalls=0,lbnd(2),ubnd(2) ! lower,upper bounds of 2d field
+      integer :: i,j,rc,n
+      integer,save :: lbnd(2),ubnd(2) ! lower,upper bounds of 2d field
 !
 ! fptr is esmf pointer (i,j) to 2d field, set by this subroutine
       real(ESMF_KIND_R8),pointer :: fptr(:,:)
@@ -963,7 +913,6 @@ subroutine esmf_set2d_mag(fields,fnames,f,nf,
         enddo     ! mlat
       enddo       ! n=1,nf
       end subroutine esmf_set2d_mag
-#endif
 !-----------------------------------------------------------------------
       subroutine esmf_get_3dfield(field, fptr, name)
 !
@@ -976,7 +925,7 @@ subroutine esmf_get_3dfield(field, fptr, name)
       character(len=*),intent(in) :: name
 !
 ! Local:
-      integer :: rc,k,lbnd(3),ubnd(3)
+      integer :: rc,lbnd(3),ubnd(3)
       character(len=80) :: errmsg
 
       call ESMF_FieldGet(field,localDe=0,farrayPtr=fptr,
@@ -1049,7 +998,8 @@ subroutine esmf_regrid(srcfield,dstfield,direction,ndim)
 ! may be made from apex or esmf indices and weights (see call 
 ! ESMF_FieldSMMStore in sub esmf_init)
 !
-            call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc)
+            call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc,
+     |        termorderflag=ESMF_TERMORDER_SRCSEQ)
 
             if (rc /= ESMF_SUCCESS) then
               write(6,"(/,'>>> esmf_regrid: error return from ',
@@ -1064,7 +1014,8 @@ subroutine esmf_regrid(srcfield,dstfield,direction,ndim)
 ! ESMF_FieldSMMStore in sub esmf_init)
 !
             routehandle = routehandle_geo2mag
-            call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc)
+            call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc,
+     |        termorderflag=ESMF_TERMORDER_SRCSEQ)
             if (rc /= ESMF_SUCCESS) then
               write(6,"(/,'>>> esmf_regrid: error return from ',
      |          'ESMF_FieldSMM for 3d ',a,': rc=',i4)") trim(direction),
@@ -1082,7 +1033,8 @@ subroutine esmf_regrid(srcfield,dstfield,direction,ndim)
           if (ndim==2) then
             routehandle = routehandle_mag2geo_2d
           endif
-          call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc)
+          call ESMF_FieldSMM(srcfield,dstfield,routehandle,rc=rc,
+     |      termorderflag=ESMF_TERMORDER_SRCSEQ)
           if (rc /= ESMF_SUCCESS) then
             write(6,"(/,'>>> esmf_regrid: error return from ',
      |        'ESMF_FieldSMM for 3d ',a,': rc=',i4)") trim(direction),
diff --git a/src/fft9.F b/src/fft9.F
index f134f86..e6e5a1a 100644
--- a/src/fft9.F
+++ b/src/fft9.F
@@ -323,7 +323,7 @@ SUBROUTINE FFT99(A,na,WORK,nw,TRIGS,ntrigs,IFAX,INC,JUMP,N,LOT,
       LA=1
       DO 80 K=1,NFAX
       IF (IGO.EQ.60) GO TO 60
-   50 CONTINUE
+      CONTINUE
       CALL VPASSM(A(IA),A(IA+INC),WORK(1),WORK(2),TRIGS,
      *   ntrigs,INK,2,JUMP,NX,LOT,NH,IFAX(K+1),LA)
       IGO=60
@@ -627,7 +627,7 @@ SUBROUTINE FFT999(A,na,WORK,nw,TRIGS,ntrigs,IFAX,INC,JUMP,N,LOT,
       LA=1
       DO 80 K=1,NFAX
       IF (IGO.EQ.60) GO TO 60
-   50 CONTINUE
+      CONTINUE
       CALL VPASSM(A(IA),A(IA+INC),WORK(1),WORK(2),TRIGS,
      *   ntrigs,INK,2,JUMP,NX,LOT,NH,IFAX(K+1),LA)
       IGO=60
diff --git a/src/fields.F b/src/fields.F
index cb0cbd0..40fcd5e 100644
--- a/src/fields.F
+++ b/src/fields.F
@@ -17,9 +17,9 @@ module fields_module
      |  mxfsech,spval,nmlat,nmlonp1,mlev0,mlev1
       implicit none
       integer,parameter :: 
-     |  nf4d          = 30, ! number of 4-d fields
+     |  nf4d          = 35, ! number of 4-d fields
      |  nf4d_hist     = 28, ! number of 4-d fields on primary histories
-     |  nf3d          = 46  ! number of 3-d fields
+     |  nf3d          = 48  ! number of 3-d fields
       real,parameter ::
      |  field_initval = 0.  ! initialization value for fields data
       integer,parameter :: 
@@ -48,11 +48,12 @@ module fields_module
 ! Indices, to f4d fields, e.g. f4d(i_tn)%data is neutral temperature.
       integer ::
      |  i_tn    ,i_un     ,i_vn     ,i_o2     ,i_o1     ,
-     |  i_n4s   ,i_no     ,i_op     ,i_n2d    ,i_ti     ,
-     |  i_te    ,i_ne     ,i_o2p    ,i_w      ,i_z      ,
-     |  i_poten ,i_tn_nm  ,i_un_nm  ,i_vn_nm  ,i_o2_nm  ,
-     |  i_o1_nm ,i_n4s_nm ,i_no_nm  ,i_op_nm  ,i_barm   ,
-     |  i_vc    ,i_he     ,i_he_nm  ,i_ar     ,i_ar_nm
+     |  i_he    ,i_op     ,i_n4s    ,i_no     ,i_ar     ,
+     |  i_ti    ,i_te     ,i_ne     ,i_w      ,i_n2d    ,
+     |  i_o2p   ,i_z      ,i_poten  ,i_tn_nm  ,i_un_nm  ,
+     |  i_vn_nm ,i_o2_nm  ,i_o1_nm  ,i_he_nm  ,i_op_nm  ,
+     |  i_n4s_nm,i_no_nm  ,i_ar_nm  ,i_mbar   ,i_barm   ,
+     |  i_xnmbar,i_xnmbari,i_scht   ,i_schti  ,i_vc
 !
 ! Allocatable target arrays for 4-d fields:
 ! Allocation will be:   tn(levd0:levd1,lond0 :lond1 ,latd0 :latd1 ,2)
@@ -60,11 +61,12 @@ module fields_module
 !
       real,dimension(:,:,:,:),target,allocatable :: ! (k,i,j,2)
      |  tn      ,un       ,vn       ,o2       ,o1       ,
-     |  n4s     ,no       ,op       ,n2d      ,ti       ,
-     |  te      ,ne       ,o2p      ,w        ,z        ,
-     |  poten   ,tn_nm    ,un_nm    ,vn_nm    ,o2_nm    ,
-     |  o1_nm   ,n4s_nm   ,no_nm    ,op_nm    ,barm     ,
-     |  vc      ,he       ,he_nm    ,ar       ,ar_nm
+     |  he      ,op       ,n4s      ,no       ,ar       ,
+     |  ti      ,te       ,ne       ,w        ,n2d      ,
+     |  o2p     ,z        ,poten    ,tn_nm    ,un_nm    ,
+     |  vn_nm   ,o2_nm    ,o1_nm    ,he_nm    ,op_nm    ,
+     |  n4s_nm  ,no_nm    ,ar_nm    ,mbar     ,barm     ,
+     |  xnmbar  ,xnmbari  ,scht     ,schti    ,vc
 !
 ! 3-d fields structure type:
 ! Data pointers will point to allocatable target arrays.
@@ -88,14 +90,14 @@ module fields_module
 ! 3-d fields and indices, e.g., reference f3d(kldt)%data
       integer :: 
      |  i_kldt   ,i_kldu    ,i_kldv    ,i_kldo2 ,i_kldo1 ,i_kldhe,
-     |  i_xnmbar ,i_xnmbari ,i_xnmbarm ,i_cp    ,i_kt    ,
-     |  i_km     ,i_ui      ,i_vi      ,i_wi    ,i_vo2   ,
-     |  i_vo1    ,i_vn2     ,i_sco2    ,i_sco1  ,i_scn2  ,
+     |  i_cp     ,i_kt      ,i_km      ,i_ui    ,i_vi    ,i_wi,
+     |  i_vo2    ,i_vo1     ,i_vn2     ,i_sco2  ,i_sco1  ,i_scn2,
      |  i_xiop2p ,i_xiop2d  ,i_nplus   ,i_n2p   ,i_nop   ,
-     |  i_lxx    ,i_lyy     ,i_lxy     ,i_lyx   ,i_qji_ti,
-     |  i_qji_tn ,i_cool_implicit      ,i_cool_explicit  ,
+     |  i_lxx    ,i_lyy     ,i_lxy     ,i_lyx   ,i_qji_ti,i_qji_tn,
+     |  i_cool_implicit     ,i_cool_explicit    ,
      |  i_hdt    ,i_hdu     ,i_hdv     ,i_hdo2  ,i_hdo1  ,i_hdhe,
-     |  i_ped    ,i_hall    ,i_lam1    ,i_zg    ,i_n2    ,i_wn
+     |  i_ped    ,i_hall    ,i_lam1    ,i_zg    ,i_n2    ,i_wn,
+     |  i_Fe     ,i_Fn      ,i_Etot    ,i_Qa    ,i_Q2
 !
 ! Allocatable target arrays 3-d:
 ! Allocation will be:   tn(levd0:levd1,lond0 :lond1 ,latd0 :latd1 )
@@ -103,15 +105,14 @@ module fields_module
 !
       real,dimension(:,:,:),target,allocatable :: ! (k,i,j)
      |  kldt     ,kldu     ,kldv     ,kldo2    ,kldo1   ,kldhe,
-     |  xnmbar   ,xnmbari  ,xnmbarm  ,cp       ,kt      ,
-     |  km       ,ui       ,vi       ,wi       ,vo2     ,
-     |  vo1      ,vn2      ,sco2     ,sco1     ,scn2    ,
+     |  cp       ,kt       ,km       ,ui       ,vi      ,wi,
+     |  vo2      ,vo1      ,vn2      ,sco2     ,sco1    ,scn2,
      |  xiop2p   ,xiop2d   ,nplus    ,n2p      ,nop     ,
-     |  lxx      ,lyy      ,lxy      ,lyx      ,qji_ti  ,
-     |  qji_tn   ,cool_implicit      ,cool_explicit     ,
+     |  lxx      ,lyy      ,lxy      ,lyx      ,qji_ti  ,qji_tn,
+     |  cool_implicit      ,cool_explicit      ,
      |  hdt      ,hdu      ,hdv      ,hdo2     ,hdo1    ,hdhe,
-     |  ped      ,hall     ,lam1     ,zg       ,n2      ,wn
-
+     |  ped      ,hall     ,lam1     ,zg       ,n2      ,wn,
+     |  Fe       ,Fn       ,Etot     ,Qa       ,Q2
 !
 ! 2-d field type (used for 2d secondary history fields):
       type fields_2d
@@ -162,7 +163,7 @@ module fields_module
 !
       logical,parameter :: fakeflds = .false.
 !
-      real,dimension(nlevp1,nlonp4+1,-2:nlat) ::
+      real,dimension(:,:,:),allocatable ::
      |  fnrh,  ! eddy viscosity
      |  fkmh   ! M/T
 !
@@ -171,14 +172,13 @@ module fields_module
       real,allocatable,dimension(:,:) ::
      |  tlbc,     ulbc,     vlbc,     ! subdomains (lond0:lond1,latd0:latd1)
      |  tlbc_nm,  ulbc_nm,  vlbc_nm,  ! subdomains (lond0:lond1,latd0:latd1)
-     |  tlbc_glb, ulbc_glb, vlbc_glb, ! global (nlonp4,nlat)
-     |  tlbc_nm_glb, ulbc_nm_glb, vlbc_nm_glb  ! global (nlonp4,nlat)
+     |  gzigm1,   gzigm2,   gnsrhs
 !
 ! Full 3d grid with all primary history fields for writing to netcdf
 ! history files. This will be allocated only on the root task 
 ! (see allocdata):
-      real,allocatable :: foutput(:,:,:,:) ! (nlevp1,nlonp4,nlat,nf4d_hist)
-      real,allocatable :: fzg(:,:,:)       ! (nlevp1,nlonp4,nlat)
+      real,allocatable :: foutput(:,:,:,:) ! (nlevp1,lon0:lon1,lat0:lat1,nf4d_hist)
+      real,allocatable :: fzg(:,:,:)       ! (nlevp1,lon0:lon1,lat0:lat1)
 !
 ! Magnetic field diagnostics (see getapex.F, apex.F90, diags.F)
 !     real,dimension(nlonp4,nlat) ::
@@ -190,7 +190,7 @@ module fields_module
       contains
 !-----------------------------------------------------------------------
 !
-      subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
+      subroutine init_4d(lon0,lon1,lat0,lat1,iprint)
 !
 ! Set names, units, indices and pointers for f4d and f3d field structures,
 ! and allocate 3d and 4d field arrays. Also make other data allocations.
@@ -198,7 +198,7 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lon0,lon1,lat0,lat1,mytid,iprint
+      integer,intent(in) :: lon0,lon1,lat0,lat1,iprint
 !
 ! Local:
       integer :: n,istat,i
@@ -256,6 +256,22 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => o1
       i_o1 = n ; n = n+1
+!
+      allocate(he(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('HELIUM')")
+      f4d(n)%short_name = ("HE")
+      f4d(n)%units = "mmr"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => he
+      i_he = n ; n = n+1
+!
+      allocate(op(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('O+ ION')")
+      f4d(n)%short_name = ("OP")
+      f4d(n)%units = "cm-3"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => op
+      i_op = n ; n = n+1
 !
       allocate(n4s(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('N4S')")
@@ -272,14 +288,6 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => no
       i_no = n ; n = n+1
-!
-      allocate(he(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('HELIUM')")
-      f4d(n)%short_name = ("HE")
-      f4d(n)%units = "mmr"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => he
-      i_he = n ; n = n+1
 !
       allocate(ar(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('ARGON (AR)')")
@@ -288,22 +296,6 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => ar
       i_ar = n ; n = n+1
-!
-      allocate(op(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('O+ ION')")
-      f4d(n)%short_name = ("OP")
-      f4d(n)%units = "cm-3"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => op
-      i_op = n ; n = n+1
-!
-      allocate(n2d(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('N2D')")
-      f4d(n)%short_name = ("N2D")
-      f4d(n)%units = "mmr"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => n2d
-      i_n2d = n ; n = n+1
 !
       allocate(ti(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('ION TEMPERATURE')")
@@ -328,14 +320,6 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "interfaces"
       f4d(n)%data => ne
       i_ne = n ; n = n+1
-!
-      allocate(o2p(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('O2+ ION')")
-      f4d(n)%short_name = ("O2P")
-      f4d(n)%units = "cm-3"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => o2p
-      i_o2p = n ; n = n+1
 !
 ! 10/27/05 btf: "W" is replaced by "OMEGA":
 !
@@ -354,6 +338,22 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "interfaces"
       f4d(n)%data => w
       i_w = n ; n = n+1
+!
+      allocate(n2d(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('N2D')")
+      f4d(n)%short_name = ("N2D")
+      f4d(n)%units = "mmr"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => n2d
+      i_n2d = n ; n = n+1
+!
+      allocate(o2p(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('O2+ ION')")
+      f4d(n)%short_name = ("O2P")
+      f4d(n)%units = "cm-3"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => o2p
+      i_o2p = n ; n = n+1
 !
       allocate(z(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('GEOPOTENTIAL HEIGHT')")
@@ -410,6 +410,22 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => o1_nm
       i_o1_nm = n ; n = n+1
+!
+      allocate(he_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('HELIUM (TIME N-1)')")
+      f4d(n)%short_name = ("HE_NM")
+      f4d(n)%units = "mmr"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => he_nm
+      i_he_nm = n ; n = n+1
+!
+      allocate(op_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('OP (TIME N-1)')")
+      f4d(n)%short_name = ("OP_NM")
+      f4d(n)%units = "cm-3"
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => op_nm
+      i_op_nm = n ; n = n+1
 !
       allocate(n4s_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('N4S (TIME N-1)')")
@@ -426,22 +442,6 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => no_nm
       i_no_nm = n ; n = n+1
-!
-      allocate(op_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('OP (TIME N-1)')")
-      f4d(n)%short_name = ("OP_NM")
-      f4d(n)%units = "cm-3"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => op_nm
-      i_op_nm = n ; n = n+1
-!
-      allocate(he_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
-      write(f4d(n)%long_name,"('HELIUM (TIME N-1)')")
-      f4d(n)%short_name = ("HE_NM")
-      f4d(n)%units = "mmr"
-      f4d(n)%vcoord = "midpoints"
-      f4d(n)%data => he_nm
-      i_he_nm = n ; n = n+1
 !
       allocate(ar_nm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('ARGON (TIME N-1)')")
@@ -450,14 +450,55 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       f4d(n)%vcoord = "midpoints"
       f4d(n)%data => ar_nm
       i_ar_nm = n ; n = n+1
+!
+      allocate(mbar(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('MEAN MOLECULAR WEIGHT')")
+      f4d(n)%short_name = ("MBAR")
+      f4d(n)%units = ' '
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => mbar
+      i_mbar = n ; n = n+1
 !
       allocate(barm(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('MEAN MOLECULAR WEIGHT')")
       f4d(n)%short_name = ("BARM")
       f4d(n)%units = ' '
-      f4d(n)%vcoord = "midpoints"
+      f4d(n)%vcoord = "interfaces"
       f4d(n)%data => barm
       i_barm = n ; n = n+1
+!
+      allocate(xnmbar(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('p0*e(-z)/kT*mbar')")
+      f4d(n)%short_name = ("XNMBAR")
+      f4d(n)%units = ' '
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => xnmbar
+      i_xnmbar = n ; n = n+1
+!
+      allocate(xnmbari(levd0:levd1,lond0:lond1,latd0:latd1,2),
+     |  stat=istat)
+      write(f4d(n)%long_name,"('p0*e(-z)/kT*barm')")
+      f4d(n)%short_name = ("XNMBARI")
+      f4d(n)%units = ' '
+      f4d(n)%vcoord = "interfaces"
+      f4d(n)%data => xnmbari
+      i_xnmbari = n ; n = n+1
+!
+      allocate(scht(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('SCALE HEIGHT AT MIDPOINTS')")
+      f4d(n)%short_name = ("SCHT")
+      f4d(n)%units = 'cm'
+      f4d(n)%vcoord = "midpoints"
+      f4d(n)%data => scht
+      i_scht = n ; n = n+1
+!
+      allocate(schti(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
+      write(f4d(n)%long_name,"('SCALE HEIGHT AT INTERFACES')")
+      f4d(n)%short_name = ("SCHTI")
+      f4d(n)%units = 'cm'
+      f4d(n)%vcoord = "interfaces"
+      f4d(n)%data => schti
+      i_schti = n ; n = n+1
 !
       allocate(vc(levd0:levd1,lond0:lond1,latd0:latd1,2),stat=istat)
       write(f4d(n)%long_name,"('COS(PHI)*VN')")
@@ -523,7 +564,7 @@ subroutine init_4d(lon0,lon1,lat0,lat1,mytid,iprint)
       endif
       end subroutine init_4d
 !-----------------------------------------------------------------------
-      subroutine init_3d(lon0,lon1,lat0,lat1,mytid,iprint)
+      subroutine init_3d(iprint)
 !
 ! Set names, units, indices and pointers for f4d and f3d field structures,
 ! and allocate 3d and 4d field arrays. Also make other data allocations.
@@ -531,7 +572,7 @@ subroutine init_3d(lon0,lon1,lat0,lat1,mytid,iprint)
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lon0,lon1,lat0,lat1,mytid,iprint
+      integer,intent(in) :: iprint
 !
 ! Local:
       integer :: n,istat
@@ -581,27 +622,6 @@ subroutine init_3d(lon0,lon1,lat0,lat1,mytid,iprint)
       f3d(n)%units = " "
       f3d(n)%data => kldhe
       i_kldhe = n ; n = n+1
-
-      allocate(xnmbar(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
-      write(f3d(n)%long_name,"('p0*e(-z)/kT*barm')")
-      f3d(n)%short_name = ("XNMBAR")
-      f3d(n)%units = ' '
-      f3d(n)%data => xnmbar
-      i_xnmbar = n ; n = n+1
-!
-      allocate(xnmbari(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
-      write(f3d(n)%long_name,"('p0*e(-z)/kT*barm at interfaces')")
-      f3d(n)%short_name = ("XNMBARI")
-      f3d(n)%units = ' '
-      f3d(n)%data => xnmbari
-      i_xnmbari = n ; n = n+1
-!
-      allocate(xnmbarm(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
-      write(f3d(n)%long_name,"('p0*e(-z)/kT*barm at midpoints')")
-      f3d(n)%short_name = ("XNMBARM")
-      f3d(n)%units = ' '
-      f3d(n)%data => xnmbarm
-      i_xnmbarm = n ; n = n+1
 !
       allocate(cp(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
       write(f3d(n)%long_name,"('SPECIFIC HEAT')")
@@ -863,6 +883,42 @@ subroutine init_3d(lon0,lon1,lat0,lat1,mytid,iprint)
       f3d(n)%units = "cm"
       f3d(n)%data => wn
       i_wn = n ; n = n+1
+!
+      allocate(Fe(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
+      write(f3d(n)%long_name,"('Eastward Field-Aligned Ion Drag')")
+      f3d(n)%short_name = "Fe"
+      f3d(n)%units = "m/s"
+      f3d(n)%data => Fe
+      i_Fe = n ; n = n+1
+!
+      allocate(Fn(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
+      write(f3d(n)%long_name,"('Northward Field-Aligned Ion Drag')")
+      f3d(n)%short_name = "Fn"
+      f3d(n)%units = "m/s"
+      f3d(n)%data => Fn
+      i_Fn = n ; n = n+1
+!
+      allocate(Etot(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
+      write(f3d(n)%long_name,"('Total Electric Field')")
+      f3d(n)%short_name = "Etot"
+      f3d(n)%units = "m/s"
+      f3d(n)%data => Etot
+      i_Etot = n ; n = n+1
+!
+      allocate(Qa(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
+      write(f3d(n)%long_name,"('Electrojet Turbulent Heating')")
+      f3d(n)%short_name = "Qa"
+      f3d(n)%units = "m/s"
+      f3d(n)%data => Qa
+      i_Qa = n ; n = n+1
+!
+      allocate(Q2(levd0:levd1,lond0:lond1,latd0:latd1),stat=istat)
+      write(f3d(n)%long_name,
+     |  "('Parameter for Electrojet Turbulent Heating')")
+      f3d(n)%short_name = "Q2"
+      f3d(n)%units = "m/s"
+      f3d(n)%data => Q2
+      i_Q2 = n ; n = n+1
 !
 ! Check number of fields allocated:
       if (n-1 /= nf3d) then
@@ -906,7 +962,7 @@ subroutine init_fsech
       implicit none
 !
 ! Local:
-      integer :: i,iprog,ier
+      integer :: i,iprog
 !
 ! External:
       integer,external :: strloc
@@ -946,12 +1002,9 @@ subroutine init_fsech
       enddo ! i=1,nfsech
       end subroutine init_fsech
 !-----------------------------------------------------------------------
-      subroutine init_lbc(lon0,lon1,lat0,lat1)
+      subroutine init_lbc
       implicit none
 !
-! Arg:
-      integer,intent(in) :: lon0,lon1,lat0,lat1
-!
 ! Local:
       integer :: istat
 !
@@ -975,26 +1028,17 @@ subroutine init_lbc(lon0,lon1,lat0,lat1)
       if (istat /= 0) call shutdown('bad allocate of vlbc_nm')
       write(6,"('init_lbc_nm: allocated subdomains tlbc_nm, ulbc_nm,',
      |  ' vlbc_nm')")
-!
-! Global domain (subdomains will be gathered into these arrays
-! for writing to the history, see sub mp_gather2root_lbc in mpi.F):
-      allocate(tlbc_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of tlbc_glb')
-      allocate(ulbc_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of ulbc_glb')
-      allocate(vlbc_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of vlbc_glb')
-      write(6,"('init_lbc: allocated globals tlbc_glb, ulbc_glb,',
-     |  ' vlbc_glb: nlonp4=',i3,' nlat=',i3)") nlonp4,nlat
-     
-      allocate(tlbc_nm_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of tlbc_nm_glb')
-      allocate(ulbc_nm_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of ulbc_nm_glb')
-      allocate(vlbc_nm_glb(nlonp4,nlat),stat=istat)
-      if (istat /= 0) call shutdown('bad allocate of vlbc_nm_glb')
-      write(6,"('init_lbc: allocated globals tlbc_nm_glb, ulbc_nm_glb,',
-     |  ' vlbc_nm_glb: nlonp4=',i3,' nlat=',i3)") nlonp4,nlat
+
+      allocate(gzigm1(lond0:lond1,latd0:latd1),stat=istat)
+      if (istat /= 0) call shutdown('bad allocate of gzigm1')
+      allocate(gzigm2(lond0:lond1,latd0:latd1),stat=istat)
+      if (istat /= 0) call shutdown('bad allocate of gzigm2')
+      allocate(gnsrhs(lond0:lond1,latd0:latd1),stat=istat)
+      if (istat /= 0) call shutdown('bad allocate of gnsrhs')
+!
+      gzigm1 = 0.
+      gzigm2 = 0.
+      gnsrhs = 0.
 !
       end subroutine init_lbc
 !-----------------------------------------------------------------------
diff --git a/src/filter.F b/src/filter.F
deleted file mode 100644
index 2afc90c..0000000
--- a/src/filter.F
+++ /dev/null
@@ -1,179 +0,0 @@
-!
-      module filter_module
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-      use params_module,only: nlon,nlonp1,nlonp2,nlonp4,nlat
-      implicit none
-!
-! Coefficients and factors for fft.
-! Setfft is called once per run from init (see init_module.F)
-!   Setfft calls set99, which returns trigs and ifax. 
-!   Trigs and ifax are used by fftrans (see util.F) calls by filter.f 
-!     and filter2.f.
-!
-      integer,parameter :: ntrigs = 3*nlon/2+1
-      real :: trigs(ntrigs) ! e.g., if nlon==72, ntrigs==109
-      integer :: ifax(13)
-!
-      contains
-!-----------------------------------------------------------------------
-      subroutine filter(f,lev0,lev1,kutj,lat)
-!
-! Remove longitudinal waves of prognostic variables with global fft.
-! Remove wave numbers greater than kutj (see kut(nlat) in cons_module.F)
-! This is called after mp_gatherlons, and only by tasks with mytidi==0.
-! On entry, task must have global longitude data defined (mp_gatherlons).
-!
-! Args:
-      integer,intent(in) :: kutj,lev0,lev1,lat
-      real,intent(inout) :: f(nlonp4,lev0:lev1)
-!
-! Local:
-      integer :: n1,n2,k,kk,i,ii,nlevs,nx,nw
-      real :: fx(nlonp4,2*(lev1-lev0+1)),
-     |        wfft((nlonp4+1)*2*(lev1-lev0+1))
-!
-      nlevs = lev1-lev0+1
-      n1 = 2*kutj+3 ! nyquist freq (?)
-      n2 = nlon+2
-      if (n1 > n2) then
-!       write(6,"('filter: lat=',i2,' kutj=',i2,' n1,2=',
-!    |    2i3,' n1 > n2')") lat,kutj,n1,n2
-        return
-      endif
-!
-! Load fx from f for the fft:
-      fx(:,:) = 0.
-      do k=lev0,lev1
-        do i=1,nlon
-          fx(i,k) = f(i+2,k)
-        enddo
-      enddo
-!
-! Forward transform gridpoint to fourier:
-! (fftrans is in util.F)
-      nx = nlonp4*(2*(lev1-lev0+1))
-      nw = (nlonp4+1)*2*(lev1-lev0+1)
-      call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlevs,
-     |  -1)
-!
-! Remove wave numbers greater than kutj
-      do k = 1,nlevs
-        do i=n1,n2
-          fx(i,k) = 0.0
-        enddo
-      enddo
-!
-! Inverse transform fourier back to gridpoint:
-      call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlevs,
-     |  1)
-!
-! Redefine f from fx:
-      do k=lev0,lev1
-        do i=1,nlon
-          f(i+2,k) = fx(i,k)
-        enddo
-      enddo
-      end subroutine filter
-!-----------------------------------------------------------------------
-#include <defs.h>
-      subroutine filter2(f,lev0,lev1,kutj,lat)
-      use cons_module,only: dlamda
-      use params_module,only: nlon,dlon
-!
-! Args:
-      integer,intent(in) :: kutj,lev0,lev1,lat
-      real,intent(inout) :: f(nlonp4,lev0:lev1)
-!
-! Local:
-      integer :: nn(nlat),nlevs,k,i,j,nx,nw,n1,kut2(nlat)
-      real :: fx(nlonp4,2*(lev1-lev0+1)),
-     |        wfft((nlonp4+1)*2*(lev1-lev0+1))
-      real :: smoothfunc ! smoothing function
-      real :: coslon
-!
-! 1/8/08 btf: Define nn for 5.0 or 2.5 degree resolution:
-!
-#if (NLAT==36 && NLON==72)
-      nn=(/43,18, 9, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-     |      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 9,18,43/) ! 5.0 deg
-#elif (NLAT==72 && NLON==144)
-      nn=(/200,90,40,40,22,22,14,14,10,10, 8, 8, 6, 6, 4, 4, 2, 2,
-     |      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-     |      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-     |      2, 2, 4, 4, 6, 6, 8, 8,10,10,14,14,22,22,40,40,90,200/) ! 2.5 deg
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
-
-#if (NLAT==36 && NLON==72)
-      kut2=(/ 0, 0,  0,  0,  0,  0, 0,  0,  0,  0,  0,  0,  0,  0,  0, 
-     |        0, 0,  0,  0,  0,  0, 0,  0,  0,  0,  0,  0,  0,  0,  0, 
-     |        0, 0,  0,  0,  0,  0/) ! 5.0 deg
-#elif (NLAT==72 && NLON==144)
-      kut2=(/0, 0, 1, 2, 4, 4, 6, 6, 8, 8,10,10,12,12,15,15,18,18,
-     |      20,20,20,20,18,18,15,12, 8, 8, 4, 4, 4, 4, 2, 2, 1, 1,
-     |       1, 1, 2, 2, 4, 4, 4, 4, 8, 8,12,15,18,18,20,20,20,20,
-     |      18,18,15,15,12,12,10,10, 8, 8, 6, 6, 4, 4, 2, 1, 0, 0/) ! 2.5 deg
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
-!
-! Load field data into fx (1-nlon <- 3-nlonp2)
-      nlevs = lev1-lev0+1
-      do k=lev0,lev1
-        do i=1,nlon
-          fx(i,k) = f(i+2,k)
-        enddo
-        do i=nlonp1,nlonp2
-          fx(i,k)=0.
-        enddo
-      enddo
-!
-! Forward transform gridpoint to fourier:
-! (fftrans is in util.F)
-! subroutine fftrans(a,na,work,nw,trigs,ntrigs,ifax,inc,jump,n,lot,isign)
-!
-      nx = nlonp4*(2*(lev1-lev0+1))
-      nw = (nlonp4+1)*2*(lev1-lev0+1)
-      call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlevs,
-     |  -1)
-!
-! Change filters so that it does not over filtering at high latitudes, it will be the
-! same as filter for low wavenumer, but wrapping up smoothly for large wavenumers, not a
-! sharp transition, so there is still filtering effect in the lower latitudes
-!                                                       Wenbin Wang  06/11/13 
-      n1=2*(kut2(lat)-1)+3
-!
-! Multiply by smoothing function:
-! Test coslon to avoid underflow in smoothfunc at the poles
-!
-      do k=lev0,lev1
-        do i=n1,nlon
-          coslon = cos(((i+1-n1)/2.)*dlamda/2.)
-	  ! to avoid underflows and crash in debug mode
-          if ((coslon<0.1) .or. (coslon<0.9 .and. nn(lat)>50)) then
-             fx(i,k) = 0.
-          else
-             smoothfunc = coslon**(2*nn(lat))
-             fx(i,k) = fx(i,k)*smoothfunc
-          endif
-        enddo ! i=1,nlon
-      enddo ! k=lev0,lev1
-!
-! Inverse transform back to gridpoint:
-      call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlevs,
-     |  +1)
-!
-! Save smoothed field:
-      do k=lev0,lev1
-        do i=1,nlon
-          f(i+2,k) = fx(i,k)
-        enddo ! i=1,nlon
-      enddo ! k=lev0,lev1
-      end subroutine filter2
-!-----------------------------------------------------------------------
-      end module filter_module
diff --git a/src/getapex.F b/src/getapex.F
index 77bcb9d..76248a3 100644
--- a/src/getapex.F
+++ b/src/getapex.F
@@ -1,4 +1,3 @@
-#include <defs.h>
 !
       module getapex_module
 !
@@ -74,22 +73,10 @@ subroutine apxparm(date)
       real,intent(in) :: date
 !
 ! Local:
-!
-! msgun = Fortran unit number for diagnostics
-! ngrf  = Number of epochs in the current DGRF/IGRF; see COFRM in
-!         file magfld.f
-!
-      integer,parameter :: 
-     |  msgun=6, 
-     |  ngrf=8
-!
-! Local:
-      integer :: j,i,ii,ist,jjm,jjg
-      integer :: iplot=0
+      integer :: j,i,ist,jjm,jjg
       real :: rekm,h0km,alt,hr,ror03,glat,glon,dellat,bmag,alon,xlatm,
      |  vmp,w,d,be3,sim,xlatqd,f,xlonmi,qdlon,qdlat,gdlat,xlongi,frki,
-     |  frkj,dellon,si,gdlon,date1(1),re
-      character(len=80) :: title
+     |  frkj,dellon,si,gdlon,re
 !
 ! Non-scalar arguments returned by APXMALL:
       real :: 
@@ -265,23 +252,21 @@ subroutine apxparm(date)
 ! Contour some results:
 ! subroutine mkcon(f,i0,i1,cint,log,xlab,ylab,title)
 !
-!     if (iplot > 0) then
-!
 ! av(nlonp1,0:nlatp1,3,2): the two magnetic vectors a1,a2
 ! AV(:,:,1:3,1:2)
 !     do i=1,2
-!       do ii=1,3
-!         write(title,"('AV(:,:,',i1,',',i1,')')") ii,i
-!         call mkcon(av(:,:,ii,i),imaxgp,jmaxgp,0.,0,'Geog Longitude',
+!       do j=1,3
+!         write(title,"('AV(:,:,',i1,',',i1,')')") j,i
+!         call mkcon(av(:,:,j,i),imaxgp,jmaxgp,0.,0,'Geog Longitude',
 !    |      'Geog Latitude',trim(title))
 !       enddo
 !     enddo
 !
 ! RJAC(:,:,1:2,1:2) 
 !     do i=1,2 
-!       do ii=1,2
-!         write(title,"('RJAC(:,:,',i1,',',i1,')')") ii,i
-!         call mkcon(rjac(:,:,ii,i),imaxgp,jmaxgp,0.,0,'Geog Longitude',
+!       do j=1,2
+!         write(title,"('RJAC(:,:,',i1,',',i1,')')") j,i
+!         call mkcon(rjac(:,:,j,i),imaxgp,jmaxgp,0.,0,'Geog Longitude',
 !    |      'Geog Latitude',trim(title))
 !       enddo
 !     enddo
@@ -327,9 +312,9 @@ subroutine apxparm(date)
 !
 ! dvec:
 !     do i=1,2
-!       do ii=1,3
-!         write(title,"('DVEC(:,:,',i1,',',i1,')')") ii,i
-!         call mkcon(dvec(:,:,ii,i),imaxgp,jmaxg,0.,0,'Geog Longitude',
+!       do j=1,3
+!         write(title,"('DVEC(:,:,',i1,',',i1,')')") j,i
+!         call mkcon(dvec(:,:,j,i),imaxgp,jmaxg,0.,0,'Geog Longitude',
 !    |      'Geog Latitude',trim(title))
 !       enddo
 !     enddo
@@ -363,8 +348,6 @@ subroutine apxparm(date)
 !     write(title,"('JG')")
 !     call mkcon(float(jg),imaxmp,jmaxm,0.,0,'Geomag Longitude',
 !    |  'Geomag Latitude',trim(title))
-!
-!     endif ! iplot
 !
       end subroutine apxparm
       end module getapex_module
diff --git a/src/getfile.F b/src/getfile.F
index e57329e..2a0d20c 100644
--- a/src/getfile.F
+++ b/src/getfile.F
@@ -14,9 +14,7 @@ subroutine getfile(remote,local)
      |  local     ! local disk file name returned
 !
 ! Local:
-      integer :: istat
       logical :: exists
-      character(len=1024) :: cmd
 !
 ! External (util.F):
       integer,external :: isystem
diff --git a/src/gpi.F b/src/gpi.F
index ddb5b7b..f5db5ac 100644
--- a/src/gpi.F
+++ b/src/gpi.F
@@ -1,4 +1,3 @@
-#include <defs.h>
 !
       module gpi_module
 !
@@ -35,11 +34,7 @@ module gpi_module
 !
       implicit none
 !
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif
 ! 
 ! Global gpi data read from gpi data file:
       integer,parameter :: 
@@ -65,11 +60,11 @@ subroutine rdgpi
 ! below.  If mpi job, only the master task executes this routine.
 !
       use input_module,only: gpi_ncfile,mxlen_filename
-      use nchist_module,only: nc_open,nc_close,handle_ncerr
+      use nchist_module,only: handle_ncerr
 !
 ! Local:
       character(len=mxlen_filename) :: dskfile
-      integer :: istat,ncid,nkp,i,ier
+      integer :: istat,ncid,nkp,i
       integer :: id_ndays,id_nkp,idv_iyd,idv_f107d,idv_f107a,idv_kp
 !
 ! Acquire mss file:
@@ -80,8 +75,8 @@ subroutine rdgpi
       write(6,"('RDGPI: read GPI data file:')")
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOERR) then
         write(6,"(/,'>>> rdgpi: error opening netcdf gpi file ',
      |    a)") trim(dskfile)
         call shutdown('rdgpi')
@@ -164,7 +159,7 @@ subroutine rdgpi
       write(6,"('First and last year-days = ',2i8)") iyd_beg,iyd_end
 !
 ! Close the file:
-      call nc_close(ncid)
+      istat = nf_close(ncid)
       write(6,"('Completed read from GPI data file ',a)") trim(dskfile)
       write(6,"(72('-'),/)")
       end subroutine rdgpi
@@ -184,7 +179,7 @@ subroutine getgpi(iyear,iday,iutsec,iprint)
       integer,intent(in) :: iyear,iday,iutsec,iprint
 !
 ! Local:
-      integer :: i,iyd_cur,iyd_prv,iyd_nxt,loc,ier,
+      integer :: i,iyd_cur,loc,ier,
      |  if107,if107a,ipower,ictpoten,isecmin,isecmax,isec0,isec1
       real :: f107_cur, f107a_cur, fkp_cur(8),  ! at current day
      |        f107_prv, f107a_prv, fkp_prv(8),  ! at previous day
@@ -448,7 +443,7 @@ subroutine timeterp(d1,d2,d3,d4,ipos,isec_dat,isec_req,fout,
       real,intent(out) :: fout
 !
 ! Local:
-      integer :: itim_dat(3),itim_req(3),ncalls,i
+      integer :: itim_dat(3),itim_req(3),ncalls
       real :: frac0,frac1
 !
       data ncalls/0/ ! for print only
diff --git a/src/gswm.F b/src/gswm.F
index a370d67..0bedc5a 100644
--- a/src/gswm.F
+++ b/src/gswm.F
@@ -16,15 +16,11 @@ module gswm_module
 !
       use params_module,only: nlon,nlat,nlonp4,nlonp2
       use mpi_module,only: lon0,lon1,lat0,lat1
-      use nchist_module,only:nc_open,nc_close,handle_ncerr
+      use nchist_module,only:handle_ncerr
       use addfld_module,only: addfld
       implicit none
 !
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif 
 ! 
 ! GSWM boundary data at model grid, output by this module,
 !   to be used by dt, duv, addiag, etc.
@@ -47,7 +43,7 @@ module gswm_module
 !
       contains 
 !-----------------------------------------------------------------------
-      subroutine getgswm(istep,iyear,iday,secs) 
+      subroutine getgswm(istep,iday,secs) 
 !
 ! Module driver to read nc files, and do time interpolations.
 !
@@ -66,37 +62,31 @@ subroutine getgswm(istep,iyear,iday,secs)
 ! Driver for obtaining GSWM data, called once per timestep from advance.
 !
 ! Args:
-      integer,intent(in) :: istep,iyear,iday
+      integer,intent(in) :: istep,iday
       real,intent(in) :: secs
 !
-! Local:
-      integer :: iprint
-!
-      iprint = 0
-      if (istep==1) iprint = 1
-!
 ! Get gswm migrating diurnal tide data:
       if (igswm_mi_di > 0) then
         if (istep==1) call rdgswm(gswm_mi_di_ncfile,'mi_di')
-        call mkgswm(iyear,iday,int(secs),iprint,'mi_di')
+        call mkgswm(iday,int(secs),'mi_di')
       endif
 !
 ! Get gswm migrating semi-diurnal tide data:
       if (igswm_mi_sdi > 0) then
         if (istep==1) call rdgswm(gswm_mi_sdi_ncfile,'mi_sdi')
-        call mkgswm(iyear,iday,int(secs),iprint,'mi_sdi')
+        call mkgswm(iday,int(secs),'mi_sdi')
       endif
 !
 ! Get gswm non-migrating diurnal tide data:
       if (igswm_nm_di > 0) then
         if (istep==1) call rdgswm(gswm_nm_di_ncfile,'nm_di')
-        call mkgswm(iyear,iday,int(secs),iprint,'nm_di')
+        call mkgswm(iday,int(secs),'nm_di')
       endif
 !
 ! Get gswm non-migrating semi-diurnal tide data:
       if (igswm_nm_sdi > 0) then
         if (istep==1) call rdgswm(gswm_nm_sdi_ncfile,'nm_sdi')
-        call mkgswm(iyear,iday,int(secs),iprint,'nm_sdi')
+        call mkgswm(iday,int(secs),'nm_sdi')
       endif
       end subroutine getgswm
 !-----------------------------------------------------------------------
@@ -108,14 +98,14 @@ subroutine rdgswm(ncfile,type)
       character(len=*),intent(in) :: ncfile,type
 !
 ! Local:
-      integer :: ncid,istat
+      integer :: ncid,istat,lonbeg,lonend
       character(len=mxlen_filename) :: dskfile
       integer :: nlon_rd, nlat_rd, nmonth_rd, nhour_rd
       integer :: id_nmonth, id_nhour, id_nlon, id_nlat
       integer :: idv_z, idv_t, idv_u, idv_v
       character(len=240) :: char240
-      real,dimension(nlonp4,nlat,nmonth,nhour) :: t,u,v,z
-      real,dimension(nlon,nlat,nmonth,nhour) :: tmp
+      integer,dimension(4) :: start,count
+      real,dimension(lon0:lon1,lat0:lat1,nmonth,nhour) :: t,u,v,z
 !
       dskfile = ' '
       call getfile(ncfile,dskfile)
@@ -123,8 +113,8 @@ subroutine rdgswm(ncfile,type)
       write(6,"('Reading GSWM data file ',a)") trim(ncfile)
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOWRITE) then
         write(6,"(/,'>>> rdgswm: error opening netcdf gswm ',
      |    'file ',a,' dskfile ',a)") trim(ncfile),trim(dskfile)
         call shutdown('rdgswm')
@@ -189,6 +179,13 @@ subroutine rdgswm(ncfile,type)
         write(6,"('gswm data file: ',a)") trim(ncfile)
         call shutdown('rdgswm')
       endif
+!
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+      start = (/lonbeg-2,lat0,1,1/)
+      count = (/lonend-lonbeg+1,lat1-lat0+1,nmonth,nhour/)
 !
 ! Get Z geopotential height perturbation [m]:
 !
@@ -196,8 +193,8 @@ subroutine rdgswm(ncfile,type)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting Z var id')
       z = 0. ! init
-      istat = nf_get_var_double(ncid,idv_z,tmp)
-      z(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_z,start,count,
+     |  z(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting variable Z')
       z = z*100. 	! convert from m to cm
@@ -210,8 +207,8 @@ subroutine rdgswm(ncfile,type)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting TN var id')
       t = 0.
-      istat = nf_get_var_double(ncid,idv_t,tmp)
-      t(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_t,start,count,
+     |  t(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting variable TN')
 !     write(6,"('rdgswm ',a,': tn min,max=',2e12.4)") 
@@ -223,8 +220,8 @@ subroutine rdgswm(ncfile,type)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting UN var id')
       u = 0.
-      istat = nf_get_var_double(ncid,idv_u,tmp)
-      u(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_u,start,count,
+     |  u(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting variable UN')
       u = u*100. 	! convert to cm/s
@@ -237,8 +234,8 @@ subroutine rdgswm(ncfile,type)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting VN var id')
       v = 0.
-      istat = nf_get_var_double(ncid,idv_v,tmp)
-      v(3:nlon+2,:,:,:) = tmp(:,:,:,:)
+      istat = nf_get_vara_double(ncid,idv_v,start,count,
+     |  v(lonbeg:lonend,:,:,:))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'rdgswm: Error getting variable VN')
       v = v*100. 	! convert to cm/s
@@ -273,12 +270,12 @@ subroutine rdgswm(ncfile,type)
       end select
 !
 ! Close the file:
-      call nc_close(ncid)
+      istat = nf_close(ncid)
       write(6,"('Completed read from GSWM data file ',a)") trim(ncfile)
       write(6,"(/,72('-'))")
       end subroutine rdgswm
 !-----------------------------------------------------------------------
-      subroutine mkgswm(iyear,iday,isecs,iprint,type)
+      subroutine mkgswm(iday,isecs,type)
 !
 ! Use data read from gswm file to return perturbation in Z
 ! and T at current model date and time. It is assumed that the gswm file
@@ -289,20 +286,17 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
 ! interpolated to the modelday
 !
       use hist_module,only: modeltime
-#ifdef MPI
       use mpi_module,only: mp_periodic_f2d
-#endif
       implicit none
 !
 ! Args:
-      integer,intent(in) :: iyear,iday,isecs,iprint
+      integer,intent(in) :: iday,isecs
       character(len=*),intent(in) :: type
 !
 ! Local:
-      real :: difsec,difday,sec,secint,dayint
-      integer :: i,j,ndmon_nl(13),ndmon_lp(13),nonleap,
-     |   mon_cur,mon_nxt,ihr_cur,ihr_nxt,nointp=0,
-     |   lonbeg,lonend,i0,i1,j0,j1
+      real :: difsec,difday,secint,dayint
+      integer :: i,ndmon_nl(13),mon_cur,mon_nxt,ihr_cur,ihr_nxt,
+     |   nointp=0,i0,i1,j0,j1
       real,dimension(lon0:lon1,lat0:lat1) :: t,u,v,z,
      |  z_curmo, t_curmo, u_curmo, v_curmo,
      |  z_nxtmo, t_nxtmo, u_nxtmo, v_nxtmo,
@@ -361,10 +355,10 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
         u_curmo_nxthr = gswmdat(type,mon_cur,ihr_nxt+1,'u')
         v_curmo_nxthr = gswmdat(type,mon_cur,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo, 1)
-        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo, 1)
-        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo, 1)
-        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo, 1)
+        call timeinterp(z, z_curmo_nxthr, difsec, secint, z_curmo)
+        call timeinterp(t, t_curmo_nxthr, difsec, secint, t_curmo)
+        call timeinterp(u, u_curmo_nxthr, difsec, secint, u_curmo)
+        call timeinterp(v, v_curmo_nxthr, difsec, secint, v_curmo)
 !
 ! Interpolate to next month:
         z = z_nxtmo ; t = t_nxtmo ; u = u_nxtmo ; v = v_nxtmo
@@ -375,10 +369,10 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
         u_nxtmo_nxthr = gswmdat(type,mon_nxt,ihr_nxt+1,'u')
         v_nxtmo_nxthr = gswmdat(type,mon_nxt,ihr_nxt+1,'v')
 
-        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo,1)
-        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo,1)
-        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo,1)
-        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo,1)
+        call timeinterp(z, z_nxtmo_nxthr, difsec, secint, z_nxtmo)
+        call timeinterp(t, t_nxtmo_nxthr, difsec, secint, t_nxtmo)
+        call timeinterp(u, u_nxtmo_nxthr, difsec, secint, u_nxtmo)
+        call timeinterp(v, v_nxtmo_nxthr, difsec, secint, v_nxtmo)
 
       endif ! interpolate to month or not
 !
@@ -410,10 +404,10 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
 ! Interpolate to ut if necessary to local z,t,u,v:
       select case (nointp)
         case (0)                  ! interpolate
-          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z,1)
-          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t,1)
-          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u,1)
-          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v,1)
+          call timeinterp(z_curmo,z_nxtmo,difday,dayint,z)
+          call timeinterp(t_curmo,t_nxtmo,difday,dayint,t)
+          call timeinterp(u_curmo,u_nxtmo,difday,dayint,u)
+          call timeinterp(v_curmo,v_nxtmo,difday,dayint,v)
         case (1)                  ! no interp (same day as current month)
           z = z_curmo
           t = t_curmo
@@ -459,7 +453,6 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
 ! Do mpi periodic points exchange for gswm with f2d(:)
 ! lons 1,2 <- nlonp4-3,nlonp4-2 and nlonp4-1,nlonp4 <- 3,4
 !
-#ifdef MPI
       select case (type)
         case ('mi_di')
            fgswm(:,:,1) = gswm_mi_di_z(lon0:lon1,lat0:lat1)
@@ -503,31 +496,7 @@ subroutine mkgswm(iyear,iday,isecs,iprint,type)
            gswm_nm_sdi_v(lon0:lon1,lat0:lat1) = fgswm(:,:,4)
         case default
       end select
-#else
-      select case (type)
-        case ('mi_di') 
-          call set_periodic_f2d(gswm_mi_di_z)
-          call set_periodic_f2d(gswm_mi_di_t)
-          call set_periodic_f2d(gswm_mi_di_u)
-          call set_periodic_f2d(gswm_mi_di_v)
-        case ('mi_sdi') 
-          call set_periodic_f2d(gswm_mi_sdi_z)
-          call set_periodic_f2d(gswm_mi_sdi_t)
-          call set_periodic_f2d(gswm_mi_sdi_u)
-          call set_periodic_f2d(gswm_mi_sdi_v)
-        case ('nm_di') 
-          call set_periodic_f2d(gswm_nm_di_z)
-          call set_periodic_f2d(gswm_nm_di_t)
-          call set_periodic_f2d(gswm_nm_di_u)
-          call set_periodic_f2d(gswm_nm_di_v)
-        case ('nm_sdi') 
-          call set_periodic_f2d(gswm_nm_sdi_z)
-          call set_periodic_f2d(gswm_nm_sdi_t)
-          call set_periodic_f2d(gswm_nm_sdi_u)
-          call set_periodic_f2d(gswm_nm_sdi_v)
-        case default
-      end select
-#endif
+
       select case (type)
         case ('mi_di') 
 
@@ -626,8 +595,7 @@ function gswmdat(type,mon,ihr,fname)
       end select
       end function gswmdat
 !-----------------------------------------------------------------------
-      subroutine timeinterp(d1,d2,difd1d2,difint,fout,
-     |  iprnt)
+      subroutine timeinterp(d1,d2,difd1d2,difint,fout)
 !
 ! Interpolate from fields d1,d2  linearly to time difint
 !   (d1 must be at 0 unit time), returning fout
@@ -639,7 +607,6 @@ subroutine timeinterp(d1,d2,difd1d2,difint,fout,
 !   fout is defined at difint
 !
 ! Args:
-      integer,intent(in) :: iprnt
       real,intent(in)  :: difd1d2,difint,d1(lon0:lon1,lat0:lat1),
      |   d2(lon0:lon1,lat0:lat1)
       real,intent(out) :: fout(lon0:lon1,lat0:lat1)
diff --git a/src/hdif.F b/src/hdif.F
index 6d8a37d..69cd3c2 100644
--- a/src/hdif.F
+++ b/src/hdif.F
@@ -10,12 +10,6 @@ module hdif_module
       use mpi_module,only: mpi_timing
       implicit none
 !
-! An extra latitude is needed in fnrh and fkmh: 
-! 10/17/02 bf: changed lon dim from nlonp4+1 to 0:nlonp4+1 
-      real,dimension(nlevp1,0:nlonp4+1,-2:nlat) ::
-     |  fnrh,  ! eddy viscosity
-     |  fkmh   ! M/T
-!
 ! VT vampir tracing:
 !
 #ifdef VT
@@ -25,13 +19,14 @@ module hdif_module
       contains
 !-----------------------------------------------------------------------
 !
-      subroutine hdif1(tn_nm,un_nm,vn_nm,barm,
+      subroutine hdif1(tn_nm,un_nm,vn_nm,mbar,fnrh,fkmh,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Save global kmh (eddy viscosity) and nrh (M/T) for use in hdif2
 !   and hdif3. This routine is called from advance.
 !
       use cons_module,only: t0,cs,dlamda,dphi,re_inv
+      use mpi_module,only: mp_bndlats_f3d,mp_bndlons_f3d
       implicit none
 !
 ! Args:
@@ -40,11 +35,12 @@ subroutine hdif1(tn_nm,un_nm,vn_nm,barm,
      |  tn_nm, ! neutral temperature at time n-1
      |  un_nm, ! zonal velocity at time n-1
      |  vn_nm, ! meridional velocity at time n-1
-     |  barm   ! mean molecular weight
+     |  mbar   ! mean molecular weight
+      real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),intent(out)
+     |  :: fnrh,fkmh  ! eddy viscosity, M/T
 !
 ! Local:
-      integer :: k,ii,i,j,ip1,ip1k,lat,ier
-      real :: fmin,fmax
+      integer :: k,i,lat,nlevs,ier
       real :: abcsj,abcsjp,con1,con2,con3,delt,dels
       real :: cp2 = 0.2
 !
@@ -53,81 +49,64 @@ subroutine hdif1(tn_nm,un_nm,vn_nm,barm,
       call vtbegin(119,ier)
 #endif
 !
-! Latitude loop starts at lat0-3. Inputs are referenced only through
-! lat+2, but kmh and nrh are defined from lat0-3 to lat1.
+! Latitude loop starts at lat0-2.
+! kmh and nrh are defined from lat0-2 to lat1+2
+! in which lat1+2 is from mp_bndlats
 !
-      do lat=lat0-3,lat1
+      do lat=lat0-2,lat1+1
 !
 ! KMH = eddy viscosity = 2*K0*K0*SQRT(DS*DS+DT*DT)
 ! cs(lat) = cos(lat)
 !
-        abcsj = abs(cs(lat+1))
-        abcsjp = abs(cs(lat+2))
+        abcsj = abs(cs(lat))
+        abcsjp = abs(cs(lat+1))
         con1 = re_inv*.5/dlamda
         con2 = re_inv/(dphi*(abcsj+abcsjp))
         con3 = 2.*cp2*cp2
 !
-!  ii = 1 -> nlev*nlonp4
-!   i = 1 -> 75,76
-! ip1 = 2 -> 76, 1
-!
-        do i=lon0,lon1
+        do i=lon0-2,lon1+1
           do k=lev0,lev1-1
-            ip1 = i+1
-
-!           if (i==nlonp4) ip1 = 1
-!           if (ip1==1) then
 
-! 10/17/02 bf: if i==nlonp4, then current task does not have i==1, so try
-!   using ip1==nlonp4-3 instead (it should be same as i==1 because of
-!   periodic points). 
-!
-            if (i==nlonp4) ip1 = 9999
-            if (ip1==9999) then
-              ip1k = k+1
-              ip1 = nlonp4-3
-            else
-              ip1k = k
-            endif
-
-!           write(6,"('lat=',i2,' i=',i2,' k=',i2,' ip1k=',i2,' ip1=',
-!    |        i2,' lat0,1=',2i3,' lon0,1=',2i3,' lev0,1=',2i3)")
-!    |        lat,i,k,ip1k,ip1,lat0,lat1,lon0,lon1,lev0,lev1
+!           write(6,"('lat=',i2,' i=',i2,' k=',i2,
+!    |        ' lat0,1=',2i3,' lon0,1=',2i3,' lev0,1=',2i3)")
+!    |        lat,i,k,lat0,lat1,lon0,lon1,lev0,lev1
 
             delt = 
-     |        con1*((un_nm(ip1k,ip1,lat+2)-un_nm(k,i,lat+2))/cs(lat+2)+
-     |              (un_nm(ip1k,ip1,lat+1)-un_nm(k,i,lat+1))/cs(lat+1))-
-     |        con2*((vn_nm(ip1k,ip1,lat+2)+vn_nm(k,i,lat+2))*abcsjp -
-     |              (vn_nm(ip1k,ip1,lat+1)+vn_nm(k,i,lat+1))*abcsj)
+     |        con1*((un_nm(k,i+1,lat+1)-un_nm(k,i,lat+1))/cs(lat+1)+
+     |              (un_nm(k,i+1,lat)-un_nm(k,i,lat))/cs(lat))-
+     |        con2*((vn_nm(k,i+1,lat+1)+vn_nm(k,i,lat+1))*abcsjp -
+     |              (vn_nm(k,i+1,lat)+vn_nm(k,i,lat))*abcsj)
             dels = 
-     |        con1*((vn_nm(ip1k,ip1,lat+2)-vn_nm(k,i,lat+2))/cs(lat+2)+
-     |              (vn_nm(ip1k,ip1,lat+1)-vn_nm(k,i,lat+1))/cs(lat+1))+
-     |        con2*((un_nm(ip1k,ip1,lat+2)+un_nm(k,i,lat+2))*abcsjp -
-     |              (un_nm(ip1k,ip1,lat+1)+un_nm(k,i,lat+1))*abcsj)
+     |        con1*((vn_nm(k,i+1,lat+1)-vn_nm(k,i,lat+1))/cs(lat+1)+
+     |              (vn_nm(k,i+1,lat)-vn_nm(k,i,lat))/cs(lat))+
+     |        con2*((un_nm(k,i+1,lat+1)+un_nm(k,i,lat+1))*abcsjp -
+     |              (un_nm(k,i+1,lat)+un_nm(k,i,lat))*abcsj)
             fkmh(k,i,lat) = con3*sqrt(dels*dels+delt*delt)
-          enddo ! i=lon0,lon1
-        enddo ! k=lev0,lev1-1
+          enddo ! k=lev0,lev1-1
+        enddo ! i=lon0-2,lon1+1
+      enddo ! lat=lat0-2,lat1+1
 !
-! NRH = ((barm(k)+barm(k+1))*0.5) / (tnm(k)+(t0(k)+t0(k+1))*0.5)
-        do i=lon0,lon1
+! NRH = mbar(k) / (tnm(k)+(t0(k)+t0(k+1))*0.5)
+      do lat=lat0-2,lat1+2
+        do i=lon0-2,lon1+2
           do k=lev0,lev1-1
-            fnrh(k,i,lat) = ((barm(k,i,lat+1)+barm(k+1,i,lat+1))*0.5) /
-     |                      (tn_nm(k,i,lat+1)+((t0(k)+t0(k+1))*.5))
+            fnrh(k,i,lat) = mbar(k,i,lat) /
+     |                      (tn_nm(k,i,lat)+((t0(k)+t0(k+1))*.5))
           enddo
         enddo
-      enddo ! lat=lat0-3,lat1
-#ifdef MPI
+      enddo
 !
 ! Exchange boundary lats and lons in fkmh:
-      call mp_bndlats_kmh(lev0,lev1,lon0,lon1,lat0,lat1)
-      call mp_bndlons_kmh(lev0,lev1,lon0,lon1,lat0,lat1)
-#endif
-!     do j=lat0,lat1
-!         call addfld('FNRH',' ',' ',fnrh(lev0:lev1-1,lon0:lon1,j),
-!    |      'lev',lev0,lev1-1,'lon',lon0,lon1,j)
-!         call addfld('FKMH',' ',' ',fkmh(lev0:lev1-1,lon0:lon1,j),
-!    |      'lev',lev0,lev1-1,'lon',lon0,lon1,j)
-!     enddo ! j=lat0,lat1
+      nlevs = lev1-lev0+1
+      call mp_bndlats_f3d(fkmh,nlevs,lon0,lon1,lat0,lat1,1)
+      call mp_bndlons_f3d(fkmh,nlevs,lon0,lon1,lat0,lat1,1,0)
+!
+!     do lat=lat0,lat1
+!         call addfld('FNRH',' ',' ',fnrh(lev0:lev1-1,lon0:lon1,lat),
+!    |      'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
+!         call addfld('FKMH',' ',' ',fkmh(lev0:lev1-1,lon0:lon1,lat),
+!    |      'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
+!     enddo ! lat=lat0,lat1
 !
 #ifdef VT
 !     code = 119 ; state = 'hdif1' ; activity='ModelCode'
@@ -136,7 +115,7 @@ subroutine hdif1(tn_nm,un_nm,vn_nm,barm,
       end subroutine hdif1
 !-----------------------------------------------------------------------
 !
-      subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
+      subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,fnrh,fkmh,
      |  fkldt,fkldu,fkldv,fkldo2,fkldo1,fkldhe,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
@@ -153,7 +132,9 @@ subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
      |  vn_nm,  ! meridional velocity at time n-1 (cm/s)
      |  o2_nm,  ! molecular oxygen at time n-1 (mmr)
      |  o1_nm,  ! atomic oxygen at time n-1 (mmr)
-     |  he_nm   ! helium at time n-1 (mmr)
+     |  he_nm,  ! helium at time n-1 (mmr)
+     |  fnrh,   ! eddy viscosity
+     |  fkmh    ! M/T
 !
 ! Ouput args:
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
@@ -166,11 +147,10 @@ subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
      |  fkldhe  ! He horizontal diffusion term
 !
 ! Local:
-      integer :: k,i,ip1,ip1k,lonbeg,lonend,lat,ier
+      integer :: k,i,lat,ier
       real :: 
      |  avkmh (lev0:lev1,lon0:lon1), ! average kmh
      |  rhokmh(lev0:lev1,lon0:lon1)  ! nrh*avkmh
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 120 ; state = 'hdif2' ; activity='ModelCode'
@@ -178,17 +158,17 @@ subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
 #endif
 !
 ! Latitude scan:
-      do lat=lat0-2,lat1
+      do lat=lat0-1,lat1+1
 !       write(6,"('hdif2: lat=',i3)") lat
 !
 ! avkmh = average fkmh:
-! Allocation of fkmh in sub init_kmh_nrh (fields_module.F):
-!     allocate(fkmh%data3d(nlevp1,nlonp4+1,-2:nlat),stat=ier)
+! Allocation of fkmh in sub allocdata (fields_module.F):
+!     allocate(fkmh(nlevp1,lon0-2:lon1+2,lat0-2:lat1+2),stat=ier)
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          avkmh(k,i) = ((fkmh(k,i-1,lat-1)+fkmh(k,i,lat-1)+
-     |                   fkmh(k,i-1,lat)) +fkmh(k,i,lat))*0.25
+          avkmh(k,i) = (fkmh(k,i-1,lat  )+fkmh(k,i,lat  )+
+     |                  fkmh(k,i-1,lat+1)+fkmh(k,i,lat+1))*0.25
         enddo
       enddo
 !     if (lat > 0)
@@ -207,108 +187,103 @@ subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
 !    |  call addfld('RHOKMH',' ',' ',rhokmh(lev0:lev1-1,lon0:lon1),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
-! CALC RHO*KMH*(L*L(D*D)(PSI)) AT J+1 AND N-1
+! CALC RHO*KMH*(L*L(D*D)(PSI)) AT J AND N-1
 !
-! Define fkldx at i=2,nlonp4-1 and lat+1.
-! (note pronostic inputs at time n-1 have lon0-2->lon1+2 from bndlons 
+! Define fkldx at i=1,nlonp4 and lat.
+! (note prognostic inputs at time n-1 have lon0-2->lon1+2 from bndlons 
 !  call in advance)
-!
-      lonbeg = lon0
-      if (lon0==1) lonbeg = 2
-      lonend = lon1
-      if (lon1==nlonp4) lonend = nlonp4-1
 !
 ! FOR PSI = U
-      call lsqdsq(un_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            un_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            un_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(un_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            un_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            un_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldu(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldu(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDU',' ',' ',fkldu(lev0:lev1-1,lon0:lon1,lat+1),
+!    |  call addfld('FKLDU',' ',' ',fkldu(lev0:lev1-1,lon0:lon1,lat),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! FOR PSI = V
-      call lsqdsq(vn_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            vn_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            vn_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(vn_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            vn_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            vn_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldv(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldv(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDV',' ',' ',fkldv(lev0:lev1-1,lon0:lon1,lat+1),
+!    |  call addfld('FKLDV',' ',' ',fkldv(lev0:lev1-1,lon0:lon1,lat),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! FOR PSI = T
-      call lsqdsq(tn_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            tn_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            tn_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(tn_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            tn_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            tn_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldt(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldt(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDT',' ',' ',fkldt(lev0:lev1-1,lon0:lon1,lat+1),
+!    |  call addfld('FKLDT',' ',' ',fkldt(lev0:lev1-1,lon0:lon1,lat),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! FOR PSI = O2
-      call lsqdsq(o2_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            o2_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            o2_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(o2_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            o2_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            o2_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldo2(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldo2(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDO2',' ',' ',fkldo2(lev0:lev1-1,lon0:lon1,lat+1)
+!    |  call addfld('FKLDO2',' ',' ',fkldo2(lev0:lev1-1,lon0:lon1,lat)
 !    |    ,'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! FOR PSI = O
-      call lsqdsq(o1_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            o1_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            o1_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(o1_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            o1_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            o1_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldo1(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldo1(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDO1',' ',' ',fkldo1(lev0:lev1-1,lon0:lon1,lat+1)
+!    |  call addfld('FKLDO1',' ',' ',fkldo1(lev0:lev1-1,lon0:lon1,lat)
 !    |    ,'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! FOR PSI = He
-      call lsqdsq(he_nm(lev0:lev1,lonbeg-1:lonend+1,lat+2),
-     |            he_nm(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            he_nm(lev0:lev1,lonbeg-1:lonend+1,lat),
-     |            avkmh(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
-     |            lev0,lev1,lat+1)
-      do i=lonbeg,lonend
+      call lsqdsq(he_nm(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            he_nm(lev0:lev1,lon0-1:lon1+1,lat),
+     |            he_nm(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            avkmh(lev0:lev1,lon0:lon1),lon0,lon1,
+     |            lev0,lev1,lat)
+      do i=lon0,lon1
         do k=lev0,lev1
-          fkldhe(k,i,lat+1) = avkmh(k,i)*rhokmh(k,i)
+          fkldhe(k,i,lat) = avkmh(k,i)*rhokmh(k,i)
         enddo
       enddo
 !     if (lat > 0)
-!    |  call addfld('FKLDHE',' ',' ',fkldhe(lev0:lev1-1,lon0:lon1,lat+1)
+!    |  call addfld('FKLDHE',' ',' ',fkldhe(lev0:lev1-1,lon0:lon1,lat)
 !    |    ,'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
-      enddo ! lat=lat0-2,lat1
+      enddo ! lat=lat0-1,lat1+1
 !
 #ifdef VT
 !     code = 120 ; state = 'hdif2' ; activity='ModelCode'
@@ -316,17 +291,14 @@ subroutine hdif2(tn_nm,un_nm,vn_nm,o2_nm,o1_nm,he_nm,
 #endif
       end subroutine hdif2
 !-----------------------------------------------------------------------
-      subroutine hdif_bndlons(kldt,kldu,kldv,kldo2,kldo1,kldhe,
+      subroutine hdif_bndlatlons(kldt,kldu,kldv,kldo2,kldo1,kldhe,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
-! Exchange boundary longitudes of horizontal diffusion coeffs
+! Exchange boundary latitudes/longitudes of horizontal diffusion coeffs
 ! calculated by hdif2. This is called from dynamics, in preparation 
 ! for hdif3.
 !
-      use fields_module,only: f3d
-#ifdef MPI
-      use mpi_module,only: mp_bndlons_f3d
-#endif
+      use mpi_module,only: mp_bndlats_f3d,mp_bndlons_f3d
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
@@ -334,22 +306,31 @@ subroutine hdif_bndlons(kldt,kldu,kldv,kldo2,kldo1,kldhe,
      |  intent(inout) :: kldt,kldu,kldv,kldo2,kldo1,kldhe
 !
 ! Local:
-      integer :: i,nlevs
-      real :: f(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2,16)
-!
-#ifdef MPI
+      integer :: nlevs
+      real :: f(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2,6)
+
       nlevs = lev1-lev0+1
-      do i=1,16
-        f(:,:,:,i) = f3d(i)%data(:,:,:)
-      enddo
-      call mp_bndlons_f3d(f,nlevs,lon0,lon1,lat0,lat1,16,0)
-      do i=1,16
-        f3d(i)%data(:,:,:) = f(:,:,:,i)
-      enddo
-#endif
-      end subroutine hdif_bndlons
+
+      f(:,:,:,1) = kldt
+      f(:,:,:,2) = kldu
+      f(:,:,:,3) = kldv
+      f(:,:,:,4) = kldo2
+      f(:,:,:,5) = kldo1
+      f(:,:,:,6) = kldhe
+
+      call mp_bndlats_f3d(f,nlevs,lon0,lon1,lat0,lat1,6)
+      call mp_bndlons_f3d(f,nlevs,lon0,lon1,lat0,lat1,6,0)
+
+      kldt = f(:,:,:,1)
+      kldu = f(:,:,:,2)
+      kldv = f(:,:,:,3)
+      kldo2 = f(:,:,:,4)
+      kldo1 = f(:,:,:,5)
+      kldhe = f(:,:,:,6)
+
+      end subroutine hdif_bndlatlons
 !-----------------------------------------------------------------------
-      subroutine hdif3(cp,
+      subroutine hdif3(cp,fnrh,
      |  kldt,kldu,kldv,kldo2,kldo1,kldhe, ! input
      |  hdt ,hdu ,hdv ,hdo2 ,hdo1,hdhe,   ! output
      |  lev0,lev1,lon0,lon1,lat)
@@ -370,6 +351,7 @@ subroutine hdif3(cp,
 !
 ! 3d input at full task subdomain:
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),intent(in)::
+     |  fnrh, ! eddy viscosity
      |  kldt,kldu,kldv,kldo2,kldo1,kldhe ! input from hdif2
 !
 ! 2d output for current latitude:
@@ -377,321 +359,112 @@ subroutine hdif3(cp,
      |  hdt ,hdu ,hdv ,hdo2 ,hdo1, hdhe  ! output
 !
 ! Local:
-      integer :: k,i,lonbeg,lonend
+      integer :: k,i
       real,dimension(lev0:lev1,lon0:lon1) :: 
      |  fnrh_inv, hdout, cpi 
 !
 ! fnrh is eddy viscosity (hdif module data), output by hdif1:
       do i=lon0,lon1
         do k=lev0,lev1-1
-          fnrh_inv(k,i) = -1. / fnrh(k,i,lat-1)
+          fnrh_inv(k,i) = -1. / fnrh(k,i,lat)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !
-! At 5 deg res (nlonp4=76), lonbeg,end will be 3,74
-      lonbeg = lon0
-      if (lon0==1) lonbeg = 3
-      lonend = lon1
-      if (lon1==nlonp4) lonend = nlonp4-2
-!
 ! Make hdu from kldu (hdu was nflh):
-      call lsqdsq(kldu(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldu(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldu(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldu(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldu(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldu(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdu(k,i) = hdout(k,i)*fnrh_inv(k,i)
         enddo ! k=lev0,lev1-1
         hdu(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDU',' ',' ',hdu(lev0:lev1-1,lon0:lon1),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Make hdv from kldv (hdv was nfph):
-      call lsqdsq(kldv(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldv(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldv(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldv(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldv(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldv(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdv(k,i) = hdout(k,i)*fnrh_inv(k,i)
         enddo ! k=lev0,lev1-1
         hdv(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDV',' ',' ',hdv(lev0:lev1-1,lon0:lon1),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Make hdt from kldt (was nqdh):
-      call lsqdsq(kldt(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldt(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldt(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldt(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldt(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldt(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
       do i=lon0,lon1
         do k=lev0,lev1-1
           cpi(k,i) = .5*(cp(k,i)+cp(k+1,i))
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdt(k,i) = hdout(k,i)*fnrh_inv(k,i)*cpi(k,i)
         enddo ! k=lev0,lev1-1
         hdt(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDT',' ',' ',hdt(lev0:lev1-1,lon0:lon1),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Make hdo2 from kldo2 (was npsdh):
-      call lsqdsq(kldo2(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldo2(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldo2(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldo2(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldo2(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldo2(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdo2(k,i) = hdout(k,i)*fnrh_inv(k,i)
         enddo ! k=lev0,lev1-1
         hdo2(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDO2',' ',' ',hdo2(lev0:lev1-1,lon0:lon1),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Make hdo1 from kldo1 (was npsdh2):
-      call lsqdsq(kldo1(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldo1(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldo1(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldo1(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldo1(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldo1(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdo1(k,i) = hdout(k,i)*fnrh_inv(k,i)
         enddo ! k=lev0,lev1-1
         hdo1(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDO1',' ',' ',hdo1(lev0:lev1-1,lon0:lon1),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Make hdhe from kldhe:
-      call lsqdsq(kldhe(lev0:lev1,lonbeg-1:lonend+1,lat+1),
-     |            kldhe(lev0:lev1,lonbeg-1:lonend+1,lat  ),
-     |            kldhe(lev0:lev1,lonbeg-1:lonend+1,lat-1),
-     |            hdout(lev0:lev1,lonbeg:lonend),lonbeg,lonend,
+      call lsqdsq(kldhe(lev0:lev1,lon0-1:lon1+1,lat+1),
+     |            kldhe(lev0:lev1,lon0-1:lon1+1,lat  ),
+     |            kldhe(lev0:lev1,lon0-1:lon1+1,lat-1),
+     |            hdout(lev0:lev1,lon0:lon1),lon0,lon1,
      |            lev0,lev1,lat)
-      do i=lonbeg,lonend
+      do i=lon0,lon1
         do k=lev0,lev1-1
           hdhe(k,i) = hdout(k,i)*fnrh_inv(k,i)
         enddo ! k=lev0,lev1-1
         hdhe(lev1,i) = 0.
-      enddo ! i=lonbeg,lonend
+      enddo ! i=lon0,lon1
 !     call addfld('HDHE',' ',' ',hdhe(lev0:lev1-1,lon0:lon1),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
       end subroutine hdif3
 !-----------------------------------------------------------------------
-      subroutine hdif_periodic(hdt,hdu,hdv,hdo2,hdo1,
-     |  lev0,lev1,lon0,lon1,lat0,lat1)
-#ifdef MPI
-      use mpi_module,only: mp_periodic_f3d
-#endif
-!
-! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
-      real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
-     |  intent(inout) :: hdt,hdu,hdv,hdo2,hdo1
-!
-! Local:
-      real :: ftmp(lev0:lev1,lon0:lon1,lat0:lat1,5)
-#ifdef MPI
-      ftmp(:,:,:,1) = hdt (:,lon0:lon1,lat0:lat1)
-      ftmp(:,:,:,2) = hdu (:,lon0:lon1,lat0:lat1)
-      ftmp(:,:,:,3) = hdv (:,lon0:lon1,lat0:lat1)
-      ftmp(:,:,:,4) = hdo2(:,lon0:lon1,lat0:lat1)
-      ftmp(:,:,:,5) = hdo1(:,lon0:lon1,lat0:lat1)
-
-      call mp_periodic_f3d(ftmp,lev0,lev1,lon0,lon1,lat0,lat1,5)
-
-      hdt (:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,1)
-      hdu (:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,2)
-      hdv (:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,3)
-      hdo2(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,4)
-      hdo1(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,5)
-#endif
-      end subroutine hdif_periodic
-!-----------------------------------------------------------------------
-#ifdef MPI
-      subroutine mp_bndlats_kmh(lev0,lev1,lon0,lon1,lat0,lat1)
-      use mpi_module,only: mytidi,mytidj,itask_table,handle_mpi_err,
-     |  time_bndlats_kmh
-      implicit none
-!
-! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
-#include <mpif.h>
-!
-! Local:
-      integer ::
-     |  irstat(MPI_STATUS_SIZE)      ! mpi receive status
-      real,allocatable :: sndbuf(:,:,:),rcvbuf(:,:,:)
-      integer :: ier,nlons,len,jprev,jnext,ireqrecv,ireqsend
-      real :: starttime,endtime
-#ifdef VT
-!     call vtsymdef(111, 'mp_bndlats_kmh','Communication',ier)
-      call vtbegin(111,ier)
-#endif
-      if (mpi_timing) starttime = mpi_wtime()
-!
-      nlons = lon1-lon0+1
-      allocate(sndbuf(nlevp1,nlons,3),stat=ier)
-      if (ier /= 0) write(6,"('>>> mp_bndlats_kmh: error allocating',
-     |  ' sndbuf: nlons=',i3,' nlevp1=',i3)") nlons,nlevp1
-      allocate(rcvbuf(nlevp1,nlons,3),stat=ier)
-      if (ier /= 0) write(6,"('>>> mp_bndlats_kmh: error allocating',
-     |  ' rcvbuf: nlons=',i3,' nlevp1=',i3)") nlons,nlevp1
-      len = nlons*nlevp1*3
-!
-      jprev = itask_table(mytidi,mytidj-1) ! task to south
-      jnext = itask_table(mytidi,mytidj+1) ! task to north
-!
-! Send lat1-1,lat1 to jnext:
-      sndbuf(:,:,:) = fkmh(:,lon0:lon1,lat1-2:lat1)
-      call mpi_isend(sndbuf,len,MPI_REAL8,jnext,1,MPI_COMM_WORLD,
-     |  ireqsend,ier)      
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlats_kmh send to jnext')
-!
-! Receive lat0-2,lat0-1 from jprev:
-      call mpi_irecv(rcvbuf,len,MPI_REAL8,jprev,1,MPI_COMM_WORLD,
-     |  ireqrecv,ier)
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlats_kmh recv from jprev')
-!
-! Wait for completions:
-      call mpi_wait(ireqsend,irstat,ier)
-      if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_bndlats_kmh wait for send')
-      call mpi_wait(ireqrecv,irstat,ier)
-      if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_bndlats_kmh wait for recv')
-!
-! Define array from receive buffer:
-      if (lat0 > 1) ! i.e., mytaskj > 0
-     |  fkmh(:,lon0:lon1,lat0-3:lat0-1) = rcvbuf(:,:,:)
-!
-! Release local buffer space:
-      deallocate(sndbuf)
-      deallocate(rcvbuf)
-!
-      if (mpi_timing) then
-        endtime = mpi_wtime()
-        time_bndlats_kmh=time_bndlats_kmh+(endtime-starttime)
-      endif
-#ifdef VT
-!     call vtsymdef(111, 'mp_bndlats_kmh','Communication',ier)
-      call vtend(111,ier)
-#endif
-      end subroutine mp_bndlats_kmh
-!-----------------------------------------------------------------------
-      subroutine mp_bndlons_kmh(lev0,lev1,lon0,lon1,lat0,lat1)
-      use mpi_module,only: mytidi,mytidj,itask_table,ntaski,
-     |  handle_mpi_err,time_bndlons_kmh
-      implicit none
-!
-! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
-#include <mpif.h>
-!
-! Each task receives fkmh(:,lon0-1,lat0-3:lat1) from task iprev, 
-!   and sends fkmh%data(:,lon1,lat0-3:lat1) to task inext.
-! lon1==nlonp4 is sent to task mytidi==0, and lon0-1==0 is received 
-!   from task ntaski-1
-!
-! Local:
-      integer ::
-     |  irstat(MPI_STATUS_SIZE)      ! mpi receive status
-      integer :: j,jj,ier,len,iprev,inext,isend,irecv,nlats
-      real,allocatable :: rcvbuf(:,:),sndbuf(:,:)
-      real :: fmin,fmax
-      real :: starttime,endtime
-#ifdef VT
-!     call vtsymdef(112, 'mp_bndlons_kmh','Communication',ier)
-      call vtbegin(112,ier)
-#endif
-      if (mpi_timing) starttime = mpi_wtime()
-!
-! Allocate send and receive buffers:
-      nlats = lat1-lat0+1+3
-      allocate(rcvbuf(nlevp1,nlats),stat=ier)
-      if (ier /= 0) write(6,"('>>> mp_bndlons_kmh: error allocating',
-     |  ' rcvbuf: nlevp1=',i3,' nlats=',i3)") nlevp1,nlats
-      allocate(sndbuf(nlevp1,nlats),stat=ier)
-      if (ier /= 0) write(6,"('>>> mp_bndlons_kmh: error allocating',
-     |  ' sndbuf: nlevp1=',i3,' nlats=',i3)") nlevp1,nlats
-      len = nlevp1*nlats
-!
-! Receive lon0-1 from iprev:
-! (if lon0==1, receive lon0-1 from task with mytidi==ntask-1)
-      iprev = itask_table(mytidi-1,mytidj)
-      if (lon0==1) iprev = itask_table(ntaski-1,mytidj) 
-      call mpi_irecv(rcvbuf,len,MPI_REAL8,iprev,1,MPI_COMM_WORLD,
-     |  irecv,ier)
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlons_kmh recv from iprev')
-!
-! Send lon1 to inext:
-! (if lon1==nlonp4, send lon1 to task with mytidi==0)
-      jj = 0
-      do j=lat0-3,lat1
-        jj = jj+1
-        sndbuf(:,jj) = fkmh(:,lon1,j)
-      enddo
-      inext = itask_table(mytidi+1,mytidj)
-      if (lon1==nlonp4) inext = itask_table(0,mytidj)
-
-!     call fminmax(sndbuf(:,:),nlevp1*nlats,fmin,fmax)
-!     write(6,"('Send lon1=',i2,' to inext=',i2,' sndbuf min,max=',
-!    |  2e12.4)") lon1,inext,fmin,fmax
-
-      call mpi_isend(sndbuf,len,MPI_REAL8,inext,1,MPI_COMM_WORLD,
-     |  isend,ier)
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlons_kmh send to inext')
-!
-! Wait for completions:
-      call mpi_wait(isend,irstat,ier)
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlons_kmh wait for send')
-      call mpi_wait(irecv,irstat,ier)
-      if (ier /= 0) 
-     |  call handle_mpi_err(ier,'mp_bndlons_kmh wait for recv')
-!
-! Copy lon0-1 from rcvbuf:
-      call fminmax(rcvbuf(:,:),nlevp1*nlats,fmin,fmax)
-!     write(6,"('Recv lon0-1=',i2,' from iprev=',i2,' rcvbuf min,max=',
-!    |  2e12.4)") lon0-1,iprev,fmin,fmax
-
-      jj = 0
-      do j=lat0-3,lat1
-        jj = jj+1
-        fkmh(:,lon0-1,j) = rcvbuf(:,jj)
-      enddo
-!
-! Release local buffer space:
-      deallocate(sndbuf)
-      deallocate(rcvbuf)
-!
-      if (mpi_timing) then
-        endtime = mpi_wtime()
-        time_bndlons_kmh=time_bndlons_kmh+(endtime-starttime)
-      endif
-#ifdef VT
-!     call vtsymdef(112, 'mp_bndlons_kmh','Communication',ier)
-      call vtend(112,ier)
-#endif
-      end subroutine mp_bndlons_kmh
-!
-! #endif MPI:
-#endif
       end module hdif_module
diff --git a/src/he_coef0_dres.F b/src/he_coef0_dres.F
deleted file mode 100644
index bdd6cbd..0000000
--- a/src/he_coef0_dres.F
+++ /dev/null
@@ -1,64822 +0,0 @@
-#include <defs.h>
-      module he_coef0_dres
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-! Associated Legendre functions, normalized by: 
-! (-1)^M * sqrt((N+1/2)*(N-M)!/(N+M)!) for Helium at 2.5-deg resolution, 
-! obtained from Eric Sutton (eric.sutton.5@us.af.mil) on MMM DD, YYYY.
-!
-      integer :: lat
-!
-#if (NLAT==72 && NLON==144)
-! Data statements are used only if 2.5-deg resolution.
-!
-      real,dimension(72,0:70,0:71) :: pmn
-!
-!     Pmn Basis Set pmn(lat,m,n)
-      data (pmn(lat, 0, 0), lat = 1,72)/
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01/
-      data (pmn(lat, 0, 1), lat = 1,72)/
-     |   1.2244534152782d+00, 1.2221225986088d+00, 1.2174654021121d+00,
-     |   1.2104906910262d+00, 1.2012117421102d+00, 1.1896462183707d+00,
-     |   1.1758161354394d+00, 1.1597478196653d+00, 1.1414718580007d+00,
-     |   1.1210230397774d+00, 1.0984402904831d+00, 1.0737665976646d+00,
-     |   1.0470489290985d+00, 1.0183381433855d+00, 9.8768889313802d-01,
-     |   9.5515952094589d-01, 9.2081194831792d-01, 8.8471155781079d-01,
-     |   8.4692706856966d-01, 8.0753040551732d-01, 7.6659656244104d-01,
-     |   7.2420345923766d-01, 6.8043179358859d-01, 6.3536488734720d-01,
-     |   5.8908852793097d-01, 5.4169080502022d-01, 4.9326194287443d-01,
-     |   4.4389412858519d-01, 3.9368133659290d-01, 3.4271914980102d-01,
-     |   2.9110457762861d-01, 2.3893587134739d-01, 1.8631233705482d-01,
-     |   1.3333414663937d-01, 8.0102147097579d-02, 2.6717668566076d-02,
-     |  -2.6717668566076d-02,-8.0102147097579d-02,-1.3333414663937d-01,
-     |  -1.8631233705482d-01,-2.3893587134739d-01,-2.9110457762861d-01,
-     |  -3.4271914980102d-01,-3.9368133659290d-01,-4.4389412858519d-01,
-     |  -4.9326194287443d-01,-5.4169080502022d-01,-5.8908852793097d-01,
-     |  -6.3536488734720d-01,-6.8043179358859d-01,-7.2420345923766d-01,
-     |  -7.6659656244104d-01,-8.0753040551732d-01,-8.4692706856966d-01,
-     |  -8.8471155781079d-01,-9.2081194831792d-01,-9.5515952094589d-01,
-     |  -9.8768889313802d-01,-1.0183381433855d+00,-1.0470489290985d+00,
-     |  -1.0737665976646d+00,-1.0984402904831d+00,-1.1210230397774d+00,
-     |  -1.1414718580007d+00,-1.1597478196653d+00,-1.1758161354394d+00,
-     |  -1.1896462183707d+00,-1.2012117421102d+00,-1.2104906910262d+00,
-     |  -1.2174654021121d+00,-1.2221225986088d+00,-1.2244534152782d+00/
-      data (pmn(lat, 1, 1), lat = 1,72)/
-     |   1.8892244620565d-02, 5.6640771400301d-02, 9.4281479252422d-02,
-     |   1.3174271695018d-01, 1.6895317489845d-01, 2.0584202087564d-01,
-     |   2.4233903486679d-01, 2.7837474273142d-01, 3.1388054845148d-01,
-     |   3.4878886470776d-01, 3.8303324153620d-01, 4.1654849281919d-01,
-     |   4.4927082037103d-01, 4.8113793538142d-01, 5.1208917698571d-01,
-     |   5.4206562773636d-01, 5.7101022575562d-01, 5.9886787335605d-01,
-     |   6.2558554192213d-01, 6.5111237285320d-01, 6.7539977437573d-01,
-     |   6.9840151404053d-01, 7.2007380672880d-01, 7.4037539799965d-01,
-     |   7.5926764262022d-01, 7.7671457812910d-01, 7.9268299329295d-01,
-     |   8.0714249132591d-01, 8.2006554775165d-01, 8.3142756279777d-01,
-     |   8.4120690822284d-01, 8.4938496848704d-01, 8.5594617618784d-01,
-     |   8.6087804169346d-01, 8.6417117691762d-01, 8.6581931319023d-01,
-     |   8.6581931319023d-01, 8.6417117691762d-01, 8.6087804169346d-01,
-     |   8.5594617618784d-01, 8.4938496848704d-01, 8.4120690822284d-01,
-     |   8.3142756279777d-01, 8.2006554775165d-01, 8.0714249132591d-01,
-     |   7.9268299329295d-01, 7.7671457812910d-01, 7.5926764262022d-01,
-     |   7.4037539799965d-01, 7.2007380672880d-01, 6.9840151404053d-01,
-     |   6.7539977437573d-01, 6.5111237285320d-01, 6.2558554192213d-01,
-     |   5.9886787335605d-01, 5.7101022575562d-01, 5.4206562773636d-01,
-     |   5.1208917698571d-01, 4.8113793538142d-01, 4.4927082037103d-01,
-     |   4.1654849281919d-01, 3.8303324153620d-01, 3.4878886470776d-01,
-     |   3.1388054845148d-01, 2.7837474273142d-01, 2.4233903486679d-01,
-     |   2.0584202087564d-01, 1.6895317489845d-01, 1.3174271695018d-01,
-     |   9.4281479252422d-02, 5.6640771400301d-02, 1.8892244620565d-02/
-      data (pmn(lat, 0, 2), lat = 1,72)/
-     |   1.5800101597233d+00, 1.5709936836752d+00, 1.5530293524062d+00,
-     |   1.5262538853242d+00, 1.4908710599013d+00, 1.4471501608036d+00,
-     |   1.3954239304727d+00, 1.3360860367546d+00, 1.2695880768497d+00,
-     |   1.1964361403854d+00, 1.1171869577685d+00, 1.0324436631307d+00,
-     |   9.4285120411363d-01, 8.4909143342780d-01, 7.5187791954184d-01,
-     |   6.5195051599552d-01, 5.5006973066766d-01, 4.4701093785191d-01,
-     |   3.4355847719019d-01, 2.4049968437443d-01, 1.3861889904657d-01,
-     |   3.8691495500260d-02,-5.8522018385708d-02,-1.5228178907153d-01,
-     |  -2.4187424808860d-01,-3.2661754272637d-01,-4.0586672534327d-01,
-     |  -4.7901866180761d-01,-5.4551662171255d-01,-6.0485451543065d-01,
-     |  -6.5658074576151d-01,-7.0030164485917d-01,-7.3568447028209d-01,
-     |  -7.6245993736406d-01,-7.8042426863313d-01,-7.8944074468117d-01,
-     |  -7.8944074468117d-01,-7.8042426863313d-01,-7.6245993736406d-01,
-     |  -7.3568447028209d-01,-7.0030164485917d-01,-6.5658074576151d-01,
-     |  -6.0485451543065d-01,-5.4551662171255d-01,-4.7901866180761d-01,
-     |  -4.0586672534327d-01,-3.2661754272637d-01,-2.4187424808860d-01,
-     |  -1.5228178907153d-01,-5.8522018385708d-02, 3.8691495500260d-02,
-     |   1.3861889904657d-01, 2.4049968437443d-01, 3.4355847719018d-01,
-     |   4.4701093785191d-01, 5.5006973066766d-01, 6.5195051599552d-01,
-     |   7.5187791954184d-01, 8.4909143342780d-01, 9.4285120411363d-01,
-     |   1.0324436631307d+00, 1.1171869577685d+00, 1.1964361403854d+00,
-     |   1.2695880768497d+00, 1.3360860367546d+00, 1.3954239304727d+00,
-     |   1.4471501608036d+00, 1.4908710599013d+00, 1.5262538853242d+00,
-     |   1.5530293524062d+00, 1.5709936836752d+00, 1.5800101597233d+00/
-      data (pmn(lat, 1, 2), lat = 1,72)/
-     |   4.2234290209426d-02, 1.2638144217803d-01, 2.0956675506046d-01,
-     |   2.9115713839701d-01, 3.7053164010487d-01, 4.4708617229841d-01,
-     |   5.2023810876275d-01, 5.8943071909105d-01, 6.5413740573907d-01,
-     |   7.1386571175044d-01, 7.6816106865150d-01, 8.1661025599178d-01,
-     |   8.5884454620120d-01, 8.9454251082953d-01, 9.2343246681090d-01,
-     |   9.4529454413607d-01, 9.5996235919592d-01, 9.6732428106117d-01,
-     |   9.6732428106117d-01, 9.5996235919592d-01, 9.4529454413607d-01,
-     |   9.2343246681090d-01, 8.9454251082953d-01, 8.5884454620120d-01,
-     |   8.1661025599178d-01, 7.6816106865149d-01, 7.1386571175044d-01,
-     |   6.5413740573907d-01, 5.8943071909105d-01, 5.2023810876275d-01,
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-      data (pmn(lat, 2, 2), lat = 1,72)/
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-      data (pmn(lat, 0, 3), lat = 1,72)/
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-     |  -1.8046059557036d+00,-1.8468594424738d+00,-1.8681582485243d+00/
-      data (pmn(lat, 1, 3), lat = 1,72)/
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-     |   7.1580084147048d-01, 6.0208946529768d-01, 4.7867699361874d-01,
-     |   3.4754272221515d-01, 2.1079717719319d-01, 7.0646256884359d-02/
-      data (pmn(lat, 2, 3), lat = 1,72)/
-     |   1.2188132102727d-03, 1.0934548595603d-02, 3.0181246288381d-02,
-     |   5.8592556932246d-02, 9.5626893725880d-02, 1.4057680469726d-01,
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-      data (pmn(lat, 3, 3), lat = 1,72)/
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-      data (pmn(lat, 0, 4), lat = 1,72)/
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-     |   1.9969146067607d+00, 2.0761196854644d+00, 2.1162748780797d+00/
-      data (pmn(lat, 1, 4), lat = 1,72)/
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-     |  -5.0268460907983d-01,-3.0725268346525d-01,-1.0336630481978d-01/
-      data (pmn(lat, 2, 4), lat = 1,72)/
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-     |  -4.7828219345497d-01,-5.9171238885721d-01,-6.8643081490944d-01,
-     |  -7.5984439510721d-01,-8.0993808529849d-01,-8.3533445900794d-01,
-     |  -8.3533445900794d-01,-8.0993808529849d-01,-7.5984439510721d-01,
-     |  -6.8643081490944d-01,-5.9171238885721d-01,-4.7828219345497d-01,
-     |  -3.4923471646469d-01,-2.0807451163206d-01,-5.8612884323585d-02,
-     |   9.5144276894290d-02, 2.4911414222679d-01, 3.9925651269395d-01,
-     |   5.4169172322522d-01, 6.7281333133892d-01, 7.8939220693998d-01,
-     |   8.8866890230318d-01, 9.6843153935351d-01, 1.0270768930154d+00,
-     |   1.0636528612476d+00, 1.0778810788466d+00, 1.0701590359742d+00,
-     |   1.0415416852850d+00, 9.9370314457565d-01, 9.2887970611639d-01,
-     |   8.4979593089927d-01, 7.5957611873057d-01, 6.6164388782997d-01,
-     |   5.5961295694296d-01, 4.5717248801834d-01, 3.5797051021510d-01,
-     |   2.6549900145699d-01, 1.8298415028628d-01, 1.1328516002813d-01,
-     |   5.8804694173456d-02, 2.1413704442020d-02, 2.3929420885512d-03/
-      data (pmn(lat, 3, 4), lat = 1,72)/
-     |   3.2563847396020d-05, 8.7588082005063d-04, 4.0241907183740d-03,
-     |   1.0916516216065d-02, 2.2848695176637d-02, 4.0922551355776d-02,
-     |   6.6001271251069d-02, 9.8672427769573d-02, 1.3921985602557d-01,
-     |   1.8760531397743d-01, 2.4346055907420d-01, 3.0609015080377d-01,
-     |   3.7448495781353d-01, 4.4734601721581d-01, 5.2311807289745d-01,
-     |   6.0003181891987d-01, 6.7615360261180d-01, 7.4944110802272d-01,
-     |   8.1780335118508d-01, 8.7916317993336d-01, 9.3152038712152d-01,
-     |   9.7301351957569d-01, 1.0019784968814d+00, 1.0170022432294d+00,
-     |   1.0169696793820d+00, 1.0011026160614d+00, 9.6898932885732d-01,
-     |   9.2060387090546d-01, 8.5631448475672d-01, 7.7688079982931d-01,
-     |   6.8343983677165d-01, 5.7748117484223d-01, 4.6081196289430d-01,
-     |   3.3551275892002d-01, 2.0388545814161d-01, 6.8394807009758d-02,
-     |  -6.8394807009758d-02,-2.0388545814161d-01,-3.3551275892002d-01,
-     |  -4.6081196289430d-01,-5.7748117484223d-01,-6.8343983677165d-01,
-     |  -7.7688079982931d-01,-8.5631448475672d-01,-9.2060387090546d-01,
-     |  -9.6898932885732d-01,-1.0011026160614d+00,-1.0169696793820d+00,
-     |  -1.0170022432294d+00,-1.0019784968814d+00,-9.7301351957569d-01,
-     |  -9.3152038712152d-01,-8.7916317993336d-01,-8.1780335118509d-01,
-     |  -7.4944110802272d-01,-6.7615360261180d-01,-6.0003181891987d-01,
-     |  -5.2311807289745d-01,-4.4734601721581d-01,-3.7448495781353d-01,
-     |  -3.0609015080377d-01,-2.4346055907420d-01,-1.8760531397743d-01,
-     |  -1.3921985602557d-01,-9.8672427769573d-02,-6.6001271251069d-02,
-     |  -4.0922551355776d-02,-2.2848695176637d-02,-1.0916516216065d-02,
-     |  -4.0241907183740d-03,-8.7588082005063d-04,-3.2563847396020d-05/
-      data (pmn(lat, 4, 4), lat = 1,72)/
-     |   2.5121583357771d-07, 2.0296885663873d-05, 1.5581824874200d-04,
-     |   5.9404484338321d-04, 1.6068605796336d-03, 3.5403721460977d-03,
-     |   6.8015244445460d-03, 1.1842191564959d-02, 1.9141253662258d-02,
-     |   2.9185236232220d-02, 4.2448136660845d-02, 5.9371092033142d-02,
-     |   8.0342551115715d-02, 1.0567960187014d-01, 1.3561107413353d-01,
-     |   1.7026298615675d-01, 2.0964683504494d-01, 2.5365114686518d-01,
-     |   3.0203660481704d-01, 3.5443496634957d-01, 4.1035186570945d-01,
-     |   4.6917348059128d-01, 5.3017692390932d-01, 5.9254410779710d-01,
-     |   6.5537872023464d-01, 7.1772585845259d-01, 7.7859378040755d-01,
-     |   8.3697716869474d-01, 8.9188125231837d-01, 9.4234610228444d-01,
-     |   9.8747040793785d-01, 1.0264340526377d+00, 1.0585188394286d+00,
-     |   1.0831267688818d+00, 1.0997953407166d+00, 1.1082094360987d+00,
-     |   1.1082094360987d+00, 1.0997953407166d+00, 1.0831267688818d+00,
-     |   1.0585188394286d+00, 1.0264340526377d+00, 9.8747040793785d-01,
-     |   9.4234610228444d-01, 8.9188125231837d-01, 8.3697716869474d-01,
-     |   7.7859378040755d-01, 7.1772585845259d-01, 6.5537872023464d-01,
-     |   5.9254410779710d-01, 5.3017692390932d-01, 4.6917348059128d-01,
-     |   4.1035186570945d-01, 3.5443496634957d-01, 3.0203660481704d-01,
-     |   2.5365114686518d-01, 2.0964683504494d-01, 1.7026298615675d-01,
-     |   1.3561107413353d-01, 1.0567960187014d-01, 8.0342551115715d-02,
-     |   5.9371092033142d-02, 4.2448136660845d-02, 2.9185236232221d-02,
-     |   1.9141253662259d-02, 1.1842191564959d-02, 6.8015244445460d-03,
-     |   3.5403721460977d-03, 1.6068605796336d-03, 5.9404484338321d-04,
-     |   1.5581824874200d-04, 2.0296885663873d-05, 2.5121583357771d-07/
-      data (pmn(lat, 0, 5), lat = 1,72)/
-     |   2.3368434108042d+00, 2.2704516427149d+00, 2.1404362834766d+00,
-     |   1.9522082197570d+00, 1.7135759643839d+00, 1.4343923824290d+00,
-     |   1.1261096897010d+00, 8.0126344757181d-01, 4.7290956310670d-01,
-     |   1.5404045805453d-01,-1.4299250651873d-01,-4.0702361397230d-01,
-     |  -6.2855925549977d-01,-8.0018393130592d-01,-9.1686728134614d-01,
-     |  -9.7615833592889d-01,-9.7825851694319d-01,-9.2597064981803d-01,
-     |  -8.2452709325736d-01,-6.8130578166657d-01,-5.0544823507888d-01,
-     |  -3.0739817486805d-01,-9.8383074400660d-02, 1.1013640168740d-01,
-     |   3.0702268074938d-01, 4.8199671984350d-01, 6.2612711343169d-01,
-     |   7.3224968002612d-01, 7.9529772963408d-01, 8.1252754367261d-01,
-     |   7.8362865888034d-01, 7.1071409518840d-01, 5.9819143999473d-01,
-     |   4.5252142276726d-01, 2.8187601188791d-01, 9.5712883134118d-02,
-     |  -9.5712883134117d-02,-2.8187601188791d-01,-4.5252142276726d-01,
-     |  -5.9819143999473d-01,-7.1071409518840d-01,-7.8362865888034d-01,
-     |  -8.1252754367261d-01,-7.9529772963408d-01,-7.3224968002612d-01,
-     |  -6.2612711343169d-01,-4.8199671984351d-01,-3.0702268074938d-01,
-     |  -1.1013640168740d-01, 9.8383074400660d-02, 3.0739817486805d-01,
-     |   5.0544823507888d-01, 6.8130578166657d-01, 8.2452709325736d-01,
-     |   9.2597064981803d-01, 9.7825851694319d-01, 9.7615833592889d-01,
-     |   9.1686728134614d-01, 8.0018393130592d-01, 6.2855925549977d-01,
-     |   4.0702361397230d-01, 1.4299250651873d-01,-1.5404045805453d-01,
-     |  -4.7290956310670d-01,-8.0126344757181d-01,-1.1261096897010d+00,
-     |  -1.4343923824290d+00,-1.7135759643839d+00,-1.9522082197570d+00,
-     |  -2.1404362834766d+00,-2.2704516427149d+00,-2.3368434108042d+00/
-      data (pmn(lat, 1, 5), lat = 1,72)/
-     |   1.3987535260753d-01, 4.1379046586357d-01, 6.7046335854522d-01,
-     |   8.9926873003438d-01, 1.0908429480985d+00, 1.2375055793596d+00,
-     |   1.3336025031511d+00, 1.3757546960626d+00, 1.3630012168129d+00,
-     |   1.2968299016869d+00, 1.1810945640993d+00, 1.0218228281284d+00,
-     |   8.2692386286400d-01, 6.0580997942358d-01, 3.6895008379448d-01,
-     |   1.2737615602705d-01,-1.0783389997660d-01,-3.2607262391199d-01,
-     |  -5.1769425919885d-01,-6.7445781934034d-01,-7.8990120318354d-01,
-     |  -8.5962891068213d-01,-8.8150004195892d-01,-8.5570801947262d-01,
-     |  -7.8474862988463d-01,-6.7327829391965d-01,-5.2786968700955d-01,
-     |  -3.5667670341596d-01,-1.6902505091104d-01, 2.5051721569637d-02,
-     |   2.1530839108171d-01, 3.9179254766996d-01, 5.4533316140440d-01,
-     |   6.6798977949970d-01, 7.5344081005910d-01, 7.9729228105642d-01,
-     |   7.9729228105642d-01, 7.5344081005910d-01, 6.6798977949970d-01,
-     |   5.4533316140440d-01, 3.9179254766996d-01, 2.1530839108171d-01,
-     |   2.5051721569638d-02,-1.6902505091104d-01,-3.5667670341596d-01,
-     |  -5.2786968700955d-01,-6.7327829391965d-01,-7.8474862988463d-01,
-     |  -8.5570801947262d-01,-8.8150004195892d-01,-8.5962891068213d-01,
-     |  -7.8990120318354d-01,-6.7445781934034d-01,-5.1769425919885d-01,
-     |  -3.2607262391199d-01,-1.0783389997660d-01, 1.2737615602705d-01,
-     |   3.6895008379448d-01, 6.0580997942358d-01, 8.2692386286400d-01,
-     |   1.0218228281284d+00, 1.1810945640993d+00, 1.2968299016869d+00,
-     |   1.3630012168129d+00, 1.3757546960626d+00, 1.3336025031511d+00,
-     |   1.2375055793596d+00, 1.0908429480985d+00, 8.9926873003438d-01,
-     |   6.7046335854522d-01, 4.1379046586357d-01, 1.3987535260753d-01/
-      data (pmn(lat, 2, 5), lat = 1,72)/
-     |   4.0394605446650d-03, 3.6033100766175d-02, 9.8320294695865d-02,
-     |   1.8758390455503d-01, 2.9905183488525d-01, 4.2673041987701d-01,
-     |   5.6369792163052d-01, 7.0244407049468d-01, 8.3523936219961d-01,
-     |   9.5451638533039d-01, 1.0532448556265d+00, 1.1252823093930d+00,
-     |   1.1656835442845d+00, 1.1709538383205d+00, 1.1392336353429d+00,
-     |   1.0704056313800d+00, 9.6611887769336d-01, 8.2972845807731d-01,
-     |   6.6615331325420d-01, 4.8165868338233d-01, 2.8357323565882d-01,
-     |   7.9954066896327d-02,-1.2078472772393d-01,-3.1026246787145d-01,
-     |  -4.8052289547327d-01,-6.2440732229547d-01,-7.3589227095574d-01,
-     |  -8.1037560579510d-01,-8.4489755189917d-01,-8.3828604793318d-01,
-     |  -7.9121942754599d-01,-7.0620330730451d-01,-5.8746259296396d-01,
-     |  -4.4075350969891d-01,-2.7310432689332d-01,-9.2496806180698d-02,
-     |   9.2496806180697d-02, 2.7310432689332d-01, 4.4075350969891d-01,
-     |   5.8746259296396d-01, 7.0620330730451d-01, 7.9121942754599d-01,
-     |   8.3828604793318d-01, 8.4489755189917d-01, 8.1037560579510d-01,
-     |   7.3589227095574d-01, 6.2440732229547d-01, 4.8052289547327d-01,
-     |   3.1026246787145d-01, 1.2078472772393d-01,-7.9954066896327d-02,
-     |  -2.8357323565881d-01,-4.8165868338233d-01,-6.6615331325420d-01,
-     |  -8.2972845807731d-01,-9.6611887769336d-01,-1.0704056313800d+00,
-     |  -1.1392336353429d+00,-1.1709538383205d+00,-1.1656835442845d+00,
-     |  -1.1252823093930d+00,-1.0532448556265d+00,-9.5451638533039d-01,
-     |  -8.3523936219961d-01,-7.0244407049468d-01,-5.6369792163052d-01,
-     |  -4.2673041987701d-01,-2.9905183488525d-01,-1.8758390455503d-01,
-     |  -9.8320294695865d-02,-3.6033100766175d-02,-4.0394605446650d-03/
-      data (pmn(lat, 3, 5), lat = 1,72)/
-     |   7.1979957213484d-05, 1.9314611156835d-03, 8.8316738941395d-03,
-     |   2.3785759523407d-02, 4.9304570342153d-02, 8.7232277215453d-02,
-     |   1.3861635520210d-01, 2.0361882144079d-01, 2.8147358411367d-01,
-     |   3.7049250478428d-01, 4.6812038658119d-01, 5.7103669228099d-01,
-     |   6.7529948503413d-01, 7.7652498149040d-01, 8.7009431384824d-01,
-     |   9.5137770068140d-01, 1.0159652943276d+00, 1.0598935511690d+00,
-     |   1.0798560820705d+00, 1.0733885800374d+00, 1.0390185621276d+00,
-     |   9.7637225027145d-01, 8.8623287703409d-01, 7.7054694571619d-01,
-     |   6.3237739419624d-01, 4.7580509464966d-01, 3.0578254962639d-01,
-     |   1.2794590416226d-01,-5.1606623343744d-02,-2.2656017596608d-01,
-     |  -3.9064167757917d-01,-5.3787969268272d-01,-6.6285405513318d-01,
-     |  -7.6092400881791d-01,-8.2842454171970d-01,-8.6282201389692d-01,
-     |  -8.6282201389692d-01,-8.2842454171970d-01,-7.6092400881791d-01,
-     |  -6.6285405513318d-01,-5.3787969268273d-01,-3.9064167757917d-01,
-     |  -2.2656017596608d-01,-5.1606623343746d-02, 1.2794590416226d-01,
-     |   3.0578254962639d-01, 4.7580509464966d-01, 6.3237739419624d-01,
-     |   7.7054694571619d-01, 8.8623287703409d-01, 9.7637225027145d-01,
-     |   1.0390185621276d+00, 1.0733885800374d+00, 1.0798560820705d+00,
-     |   1.0598935511690d+00, 1.0159652943276d+00, 9.5137770068140d-01,
-     |   8.7009431384824d-01, 7.7652498149040d-01, 6.7529948503413d-01,
-     |   5.7103669228099d-01, 4.6812038658119d-01, 3.7049250478428d-01,
-     |   2.8147358411367d-01, 2.0361882144079d-01, 1.3861635520210d-01,
-     |   8.7232277215454d-02, 4.9304570342153d-02, 2.3785759523407d-02,
-     |   8.8316738941395d-03, 1.9314611156835d-03, 7.1979957213484d-05/
-      data (pmn(lat, 4, 5), lat = 1,72)/
-     |   8.3299038503490d-07, 6.7173022965394d-05, 5.1371903763555d-04,
-     |   1.9472934244449d-03, 5.2269515973664d-03, 1.1405582145228d-02,
-     |   2.1656905022042d-02, 3.7191728250942d-02, 5.9167919754880d-02,
-     |   8.8598927451881d-02, 1.2626581846623d-01, 1.7263769949991d-01,
-     |   2.2780502924412d-01, 2.9142975604552d-01, 3.6271543668466d-01,
-     |   4.4039955158124d-01, 5.2276917248171d-01, 6.0770001104643d-01,
-     |   6.9271773454369d-01, 7.7507933280252d-01, 8.5187131171385d-01,
-     |   9.2012062172473d-01, 9.7691354721795d-01, 1.0195173181168d+00,
-     |   1.0454989820137d+00, 1.0528361057719d+00, 1.0400141601401d+00,
-     |   1.0061059677034d+00, 9.5082934030428d-01, 8.7457996330945d-01,
-     |   7.7843765840746d-01, 6.6414532474003d-01, 5.3406106634294d-01,
-     |   3.9108520630227d-01, 2.3856500953995d-01, 8.0180934739171d-02,
-     |  -8.0180934739171d-02,-2.3856500953995d-01,-3.9108520630227d-01,
-     |  -5.3406106634294d-01,-6.6414532474003d-01,-7.7843765840746d-01,
-     |  -8.7457996330945d-01,-9.5082934030428d-01,-1.0061059677034d+00,
-     |  -1.0400141601401d+00,-1.0528361057719d+00,-1.0454989820137d+00,
-     |  -1.0195173181168d+00,-9.7691354721795d-01,-9.2012062172473d-01,
-     |  -8.5187131171385d-01,-7.7507933280252d-01,-6.9271773454369d-01,
-     |  -6.0770001104643d-01,-5.2276917248171d-01,-4.4039955158124d-01,
-     |  -3.6271543668466d-01,-2.9142975604552d-01,-2.2780502924412d-01,
-     |  -1.7263769949991d-01,-1.2626581846623d-01,-8.8598927451881d-02,
-     |  -5.9167919754880d-02,-3.7191728250942d-02,-2.1656905022042d-02,
-     |  -1.1405582145228d-02,-5.2269515973664d-03,-1.9472934244449d-03,
-     |  -5.1371903763555d-04,-6.7173022965394d-05,-8.3299038503490d-07/
-      data (pmn(lat, 5, 5), lat = 1,72)/
-     |   5.7477289514788d-09, 1.3922725978101d-06, 1.7791412035232d-05,
-     |   9.4778876637011d-05, 3.2878368952449d-04, 8.8256898823663d-04,
-     |   1.9961599969338d-03, 3.9923409346033d-03, 7.2761307112520d-03,
-     |   1.2327969044462d-02, 1.9690684225814d-02, 2.9950654371259d-02,
-     |   4.3713898669276d-02, 6.1578127656658d-02, 8.4102027142514d-02,
-     |   1.1177323649791d-01, 1.4497659886711d-01, 1.8396430195567d-01,
-     |   2.2882949053653d-01, 2.7948481657254d-01, 3.3564720449937d-01,
-     |   3.9682985589147d-01, 4.6234221074519d-01, 5.3129823588975d-01,
-     |   6.0263304049054d-01, 6.7512744139086d-01, 7.4743973472720d-01,
-     |   8.1814359203201d-01, 8.8577070487928d-01, 9.4885656604015d-01,
-     |   1.0059876084752d+00, 1.0558478344999d+00, 1.0972630607605d+00,
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-     |   1.0972630607605d+00, 1.0558478344999d+00, 1.0059876084752d+00,
-     |   9.4885656604015d-01, 8.8577070487928d-01, 8.1814359203201d-01,
-     |   7.4743973472720d-01, 6.7512744139086d-01, 6.0263304049054d-01,
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-     |   1.7791412035232d-05, 1.3922725978101d-06, 5.7477289514788d-09/
-      data (pmn(lat, 0, 6), lat = 1,72)/
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-     |   7.5362923926541d-01, 8.3100584486190d-01, 8.4331709305514d-01,
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-     |   2.2406330820477d+00, 2.4360990805492d+00, 2.5367839097333d+00/
-      data (pmn(lat, 1, 6), lat = 1,72)/
-     |   1.7979195750294d-01, 5.2882399741487d-01, 8.4687753492434d-01,
-     |   1.1155123679439d+00, 1.3194522185732d+00, 1.4475524441784d+00,
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-     |  -3.8148028615006d-01,-1.6149046819944d-01, 7.5880936339278d-02,
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-     |  -8.4687753492434d-01,-5.2882399741487d-01,-1.7979195750294d-01/
-      data (pmn(lat, 2, 6), lat = 1,72)/
-     |   6.2073598283019d-03, 5.5160189257366d-02, 1.4935518614070d-01,
-     |   2.8163073785347d-01, 4.4187583177005d-01, 6.1773892418088d-01,
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-     |   1.2022961960921d+00, 1.0906808095221d+00, 9.2808374041614d-01,
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-     |  -6.6861812246929d-01,-7.9691266432526d-01,-8.6764789081001d-01,
-     |  -8.7730734257774d-01,-8.2634376066342d-01,-7.1915965084925d-01,
-     |  -5.6382175064202d-01,-3.7152809197428d-01,-1.5586316392038d-01,
-     |   6.8108901600518d-02, 2.8485215409661d-01, 4.7939977526321d-01,
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-     |   8.0902455626005d-01, 7.5080494686110d-01, 6.3835795645816d-01,
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-     |  -7.1915965084925d-01,-8.2634376066341d-01,-8.7730734257774d-01,
-     |  -8.6764789081001d-01,-7.9691266432526d-01,-6.6861812246929d-01,
-     |  -4.9000262944796d-01,-2.7152987282107d-01,-2.6177310516319d-02,
-     |   2.3144152549149d-01, 4.8606086776613d-01, 7.2278561791262d-01,
-     |   9.2808374041614d-01, 1.0906808095221d+00, 1.2022961960921d+00,
-     |   1.2581713178026d+00, 1.2573546759434d+00, 1.2027250868988d+00,
-     |   1.1007524456560d+00, 9.6101330775785d-01, 7.9549531975910d-01,
-     |   6.1773892418088d-01, 4.4187583177005d-01, 2.8163073785347d-01,
-     |   1.4935518614070d-01, 5.5160189257366d-02, 6.2073598283019d-03/
-      data (pmn(lat, 3, 6), lat = 1,72)/
-     |   1.3548539527162d-04, 3.6251346940883d-03, 1.6481009824372d-02,
-     |   4.4002909857941d-02, 9.0148454964500d-02, 1.5713949331132d-01,
-     |   2.4519952647000d-01, 3.5244302987015d-01, 4.7492673010502d-01,
-     |   6.0686132681992d-01, 7.4097061844061d-01, 8.6897431168538d-01,
-     |   9.8216171152089d-01, 1.0720166396761d+00, 1.1308498024392d+00,
-     |   1.1523937226147d+00, 1.1323173595144d+00, 1.0686225440131d+00,
-     |   9.6189202608434d-01, 8.1536875850715d-01, 6.3485736138693d-01,
-     |   4.2845076144071d-01, 2.0609695833653d-01,-2.0968078818743d-02,
-     |  -2.4088599658299d-01,-4.4189766390619d-01,-6.1307407540643d-01,
-     |  -7.4500867212133d-01,-8.3042525247665d-01,-8.6466078179837d-01,
-     |  -8.4599029702831d-01,-7.7577122637509d-01,-6.5839613114060d-01,
-     |  -5.0105535140344d-01,-3.1332346631313d-01,-1.0659503253347d-01,
-     |   1.0659503253347d-01, 3.1332346631313d-01, 5.0105535140344d-01,
-     |   6.5839613114060d-01, 7.7577122637509d-01, 8.4599029702831d-01,
-     |   8.6466078179837d-01, 8.3042525247665d-01, 7.4500867212133d-01,
-     |   6.1307407540643d-01, 4.4189766390619d-01, 2.4088599658299d-01,
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-     |  -4.7492673010502d-01,-3.5244302987015d-01,-2.4519952647000d-01,
-     |  -1.5713949331132d-01,-9.0148454964500d-02,-4.4002909857941d-02,
-     |  -1.6481009824372d-02,-3.6251346940883d-03,-1.3548539527162d-04/
-      data (pmn(lat, 4, 6), lat = 1,72)/
-     |   2.0243065655318d-06, 1.6286875012861d-04, 1.2398689462997d-03,
-     |   4.6674266816575d-03, 1.2412549972809d-02, 2.6769590974897d-02,
-     |   5.0112391217597d-02, 8.4623548943205d-02, 1.3202262326012d-01,
-     |   1.9331560048000d-01, 2.6858682118796d-01, 3.5685186923322d-01,
-     |   4.5598583371168d-01, 5.6273614886011d-01, 6.7282325144165d-01,
-     |   7.8112598327282d-01, 8.8194244807061d-01, 9.6931134399118d-01,
-     |   1.0373740402525d+00, 1.0807541911569d+00, 1.0949297416802d+00,
-     |   1.0765719303166d+00, 1.0238273772945d+00, 9.3652248188917d-01,
-     |   8.1627395023985d-01, 6.6649504271522d-01, 4.9229369354510d-01,
-     |   3.0026558437525d-01, 9.8192088814099d-02,-1.0534070903019d-01,
-     |  -3.0138040491526d-01,-4.8107857446688d-01,-6.3616510677938d-01,
-     |  -7.5939809223888d-01,-8.4496200631714d-01,-8.8878990688976d-01,
-     |  -8.8878990688976d-01,-8.4496200631714d-01,-7.5939809223888d-01,
-     |  -6.3616510677938d-01,-4.8107857446688d-01,-3.0138040491526d-01,
-     |  -1.0534070903019d-01, 9.8192088814098d-02, 3.0026558437525d-01,
-     |   4.9229369354510d-01, 6.6649504271522d-01, 8.1627395023985d-01,
-     |   9.3652248188917d-01, 1.0238273772945d+00, 1.0765719303166d+00,
-     |   1.0949297416802d+00, 1.0807541911569d+00, 1.0373740402525d+00,
-     |   9.6931134399118d-01, 8.8194244807061d-01, 7.8112598327282d-01,
-     |   6.7282325144165d-01, 5.6273614886011d-01, 4.5598583371168d-01,
-     |   3.5685186923322d-01, 2.6858682118796d-01, 1.9331560048000d-01,
-     |   1.3202262326013d-01, 8.4623548943206d-02, 5.0112391217597d-02,
-     |   2.6769590974898d-02, 1.2412549972809d-02, 4.6674266816575d-03,
-     |   1.2398689462997d-03, 1.6286875012861d-04, 2.0243065655318d-06/
-      data (pmn(lat, 5, 6), lat = 1,72)/
-     |   2.0718799765137d-08, 5.0091622276669d-06, 6.3766575241544d-05,
-     |   3.3775287735921d-04, 1.1626684299616d-03, 3.0909539734097d-03,
-     |   6.9097257488951d-03, 1.3630670924290d-02, 2.4450725371886d-02,
-     |   4.0684793902771d-02, 6.3674172334671d-02, 9.4676512526666d-02,
-     |   1.3474497085119d-01, 1.8460545814629d-01, 2.4454156122021d-01,
-     |   3.1429667183459d-01, 3.9300212591578d-01, 4.7913875979341d-01,
-     |   5.7053731486248d-01, 6.6442069227713d-01, 7.5748833369374d-01,
-     |   8.4604016419738d-01, 9.2613477156300d-01, 9.9377400175120d-01,
-     |   1.0451040984958d+00, 1.0766220521127d+00, 1.0853750587391d+00,
-     |   1.0691409902082d+00, 1.0265785507023d+00, 9.5733731171798d-01,
-     |   8.6211998487342d-01, 7.4269198184667d-01, 6.0183635585453d-01,
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-     |  -9.1398575787873d-02,-2.7142357552357d-01,-4.4325542843439d-01,
-     |  -6.0183635585453d-01,-7.4269198184667d-01,-8.6211998487342d-01,
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-     |  -1.0853750587391d+00,-1.0766220521127d+00,-1.0451040984958d+00,
-     |  -9.9377400175120d-01,-9.2613477156300d-01,-8.4604016419738d-01,
-     |  -7.5748833369374d-01,-6.6442069227713d-01,-5.7053731486248d-01,
-     |  -4.7913875979341d-01,-3.9300212591578d-01,-3.1429667183459d-01,
-     |  -2.4454156122021d-01,-1.8460545814629d-01,-1.3474497085119d-01,
-     |  -9.4676512526666d-02,-6.3674172334671d-02,-4.0684793902771d-02,
-     |  -2.4450725371886d-02,-1.3630670924290d-02,-6.9097257488951d-03,
-     |  -3.0909539734098d-03,-1.1626684299616d-03,-3.3775287735921d-04,
-     |  -6.3766575241544d-05,-5.0091622276669d-06,-2.0718799765137d-08/
-      data (pmn(lat, 6, 6), lat = 1,72)/
-     |   1.3050593468086d-10, 9.4777196133585d-08, 2.0159846779526d-06,
-     |   1.5006817259265d-05, 6.6761647196096d-05, 2.1833990725930d-04,
-     |   5.8139212303459d-04, 1.3356967579114d-03, 2.7448291452982d-03,
-     |   5.1677865586144d-03, 9.0645801803142d-03, 1.4994165643827d-02,
-     |   2.3603596141254d-02, 3.5607911453184d-02, 5.1760979060182d-02,
-     |   7.2818229881862d-02, 9.9492928506529d-02, 1.3240823425620d-01,
-     |   1.7204779785456d-01, 2.1870795952281d-01, 2.7245473949279d-01,
-     |   3.3308872559398d-01, 4.0012066334000d-01, 4.7276005492724d-01,
-     |   5.4991840172647d-01, 6.3022791938388d-01, 7.1207566448991d-01,
-     |   7.9365209246224d-01, 8.7301217633396d-01, 9.4814641316273d-01,
-     |   1.0170583816803d+00, 1.0778450362157d+00, 1.1287756611846d+00,
-     |   1.1683653872967d+00, 1.1954393898495d+00, 1.2091843404148d+00,
-     |   1.2091843404148d+00, 1.1954393898495d+00, 1.1683653872967d+00,
-     |   1.1287756611846d+00, 1.0778450362157d+00, 1.0170583816803d+00,
-     |   9.4814641316273d-01, 8.7301217633396d-01, 7.9365209246224d-01,
-     |   7.1207566448991d-01, 6.3022791938388d-01, 5.4991840172647d-01,
-     |   4.7276005492724d-01, 4.0012066334000d-01, 3.3308872559398d-01,
-     |   2.7245473949280d-01, 2.1870795952281d-01, 1.7204779785456d-01,
-     |   1.3240823425620d-01, 9.9492928506530d-02, 7.2818229881862d-02,
-     |   5.1760979060182d-02, 3.5607911453184d-02, 2.3603596141254d-02,
-     |   1.4994165643827d-02, 9.0645801803142d-03, 5.1677865586144d-03,
-     |   2.7448291452982d-03, 1.3356967579114d-03, 5.8139212303459d-04,
-     |   2.1833990725930d-04, 6.6761647196096d-05, 1.5006817259265d-05,
-     |   2.0159846779526d-06, 9.4777196133585d-08, 1.3050593468086d-10/
-      data (pmn(lat, 0, 7), lat = 1,72)/
-     |   2.7203940411978d+00, 2.5767912484618d+00, 2.3008317213975d+00,
-     |   1.9140401982521d+00, 1.4463717405909d+00, 9.3364734563180d-01,
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-     |   4.8218165452934d-01, 7.0150769785040d-01, 8.3982376758388d-01,
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-     |  -7.8675659573641d-01,-8.0112279504940d-01,-7.3104709520078d-01,
-     |  -5.8442326947136d-01,-3.7686910361092d-01,-1.3012762334452d-01,
-     |   1.3012762334452d-01, 3.7686910361092d-01, 5.8442326947136d-01,
-     |   7.3104709520078d-01, 8.0112279504940d-01, 7.8675659573641d-01,
-     |   6.8862408321292d-01, 5.1597635598579d-01, 2.8580126367582d-01,
-     |   2.1214864510581d-02,-2.5076771449885d-01,-5.0187257722572d-01,
-     |  -7.0536833843008d-01,-8.3876087792434d-01,-8.8612187576471d-01,
-     |  -8.3982376758388d-01,-7.0150769785040d-01,-4.8218165452934d-01,
-     |  -2.0142672992095d-01, 1.1422711255832d-01, 4.3361603689410d-01,
-     |   7.2374242403983d-01, 9.5280703126724d-01, 1.0931959462983d+00,
-     |   1.1241462740251d+00, 1.0338411990502d+00, 8.2073493524586d-01,
-     |   4.9397662680749d-01, 7.2883287353156d-02,-4.1450203195786d-01,
-     |  -9.3364734563179d-01,-1.4463717405909d+00,-1.9140401982521d+00,
-     |  -2.3008317213975d+00,-2.5767912484618d+00,-2.7203940411978d+00/
-      data (pmn(lat, 1, 7), lat = 1,72)/
-     |   2.2281862505971d-01, 6.5098346403658d-01, 1.0282348704475d+00,
-     |   1.3255088786214d+00, 1.5206010077556d+00, 1.6000369101690d+00,
-     |   1.5601658587903d+00, 1.4073822254011d+00, 1.1574591256739d+00,
-     |   8.3405868869891d-01, 4.6655760473362d-01, 8.7387941355584d-02,
-     |  -2.7086388758782d-01,-5.7833654282677d-01,-8.1049168167387d-01,
-     |  -9.5019780066474d-01,-9.8911588099122d-01,-9.2826781089387d-01,
-     |  -7.7774423555171d-01,-5.5558774148778d-01,-2.8596280383979d-01,
-     |   3.2112391331341d-03, 2.8293971289019d-01, 5.2589297507696d-01,
-     |   7.0895222934223d-01, 8.1532535840106d-01, 8.3603908488020d-01,
-     |   7.7067331227607d-01, 6.2727525346930d-01, 4.2146820256343d-01,
-     |   1.7484533443365d-01,-8.7194311815557d-02,-3.3795870201069d-01,
-     |  -5.5208352496344d-01,-7.0801043484744d-01,-7.9008672153626d-01,
-     |  -7.9008672153626d-01,-7.0801043484744d-01,-5.5208352496344d-01,
-     |  -3.3795870201069d-01,-8.7194311815557d-02, 1.7484533443365d-01,
-     |   4.2146820256343d-01, 6.2727525346930d-01, 7.7067331227607d-01,
-     |   8.3603908488020d-01, 8.1532535840106d-01, 7.0895222934223d-01,
-     |   5.2589297507696d-01, 2.8293971289019d-01, 3.2112391331341d-03,
-     |  -2.8596280383979d-01,-5.5558774148778d-01,-7.7774423555171d-01,
-     |  -9.2826781089387d-01,-9.8911588099122d-01,-9.5019780066474d-01,
-     |  -8.1049168167387d-01,-5.7833654282677d-01,-2.7086388758783d-01,
-     |   8.7387941355584d-02, 4.6655760473362d-01, 8.3405868869891d-01,
-     |   1.1574591256739d+00, 1.4073822254011d+00, 1.5601658587903d+00,
-     |   1.6000369101690d+00, 1.5206010077556d+00, 1.3255088786214d+00,
-     |   1.0282348704475d+00, 6.5098346403658d-01, 2.2281862505971d-01/
-      data (pmn(lat, 2, 7), lat = 1,72)/
-     |   8.9407891287086d-03, 7.9096296384942d-02, 2.1224054979710d-01,
-     |   3.9471807739000d-01, 6.0767757786592d-01, 8.2885906515356d-01,
-     |   1.0347085530458d+00, 1.2026228849318d+00, 1.3131149763586d+00,
-     |   1.3516968881424d+00, 1.3103041304103d+00, 1.1881270120076d+00,
-     |   9.9176976930466d-01, 7.3472054657102d-01, 4.3617927970628d-01,
-     |   1.1935022416551d-01,-1.9064427102649d-01,-4.6903673788661d-01,
-     |  -6.9366465437019d-01,-8.4698968866793d-01,-9.1769921416115d-01,
-     |  -9.0174151408450d-01,-8.0269821400961d-01,-6.3145857746500d-01,
-     |  -4.0522472849555d-01,-1.4593866652597d-01, 1.2172460472841d-01,
-     |   3.7261335039714d-01, 5.8339714937505d-01, 7.3469509962643d-01,
-     |   8.1283813441042d-01, 8.1110307581533d-01, 7.3030473724678d-01,
-     |   5.7869158803766d-01, 3.7115474458338d-01, 1.2782341870776d-01,
-     |  -1.2782341870776d-01,-3.7115474458338d-01,-5.7869158803766d-01,
-     |  -7.3030473724678d-01,-8.1110307581533d-01,-8.1283813441042d-01,
-     |  -7.3469509962643d-01,-5.8339714937505d-01,-3.7261335039714d-01,
-     |  -1.2172460472841d-01, 1.4593866652597d-01, 4.0522472849554d-01,
-     |   6.3145857746500d-01, 8.0269821400961d-01, 9.0174151408450d-01,
-     |   9.1769921416116d-01, 8.4698968866793d-01, 6.9366465437019d-01,
-     |   4.6903673788661d-01, 1.9064427102650d-01,-1.1935022416551d-01,
-     |  -4.3617927970628d-01,-7.3472054657102d-01,-9.9176976930466d-01,
-     |  -1.1881270120076d+00,-1.3103041304103d+00,-1.3516968881424d+00,
-     |  -1.3131149763586d+00,-1.2026228849318d+00,-1.0347085530458d+00,
-     |  -8.2885906515356d-01,-6.0767757786592d-01,-3.9471807739000d-01,
-     |  -2.1224054979710d-01,-7.9096296384942d-02,-8.9407891287086d-03/
-      data (pmn(lat, 3, 7), lat = 1,72)/
-     |   2.3001466190586d-04, 6.1338933098151d-03, 2.7699663587210d-02,
-     |   7.3204913264228d-02, 1.4791489156627d-01, 2.5332067803050d-01,
-     |   3.8676847219353d-01, 5.4152303827382d-01, 7.0726594692059d-01,
-     |   8.7098653105369d-01, 1.0181844833338d+00, 1.1342714986557d+00,
-     |   1.2060383463839d+00, 1.2230453072262d+00, 1.1787989187925d+00,
-     |   1.0715960714749d+00, 9.0494608106695d-01, 6.8751974942348d-01,
-     |   4.3261808283811d-01, 1.5719822891086d-01,-1.1946386439964d-01,
-     |  -3.7735950175034d-01,-5.9744257631803d-01,-7.6328248762472d-01,
-     |  -8.6252450116379d-01,-8.8802277362974d-01,-8.3853913085000d-01,
-     |  -7.1893858564680d-01,-5.3985712081027d-01,-3.1686441209635d-01,
-     |  -6.9189642706510d-02, 1.8188178694921d-01, 4.1480265780293d-01,
-     |   6.0959349490116d-01, 7.4954732490816d-01, 8.2265996924086d-01,
-     |   8.2265996924086d-01, 7.4954732490816d-01, 6.0959349490116d-01,
-     |   4.1480265780293d-01, 1.8188178694921d-01,-6.9189642706510d-02,
-     |  -3.1686441209635d-01,-5.3985712081026d-01,-7.1893858564680d-01,
-     |  -8.3853913085000d-01,-8.8802277362974d-01,-8.6252450116379d-01,
-     |  -7.6328248762473d-01,-5.9744257631803d-01,-3.7735950175034d-01,
-     |  -1.1946386439964d-01, 1.5719822891085d-01, 4.3261808283811d-01,
-     |   6.8751974942348d-01, 9.0494608106695d-01, 1.0715960714749d+00,
-     |   1.1787989187925d+00, 1.2230453072262d+00, 1.2060383463839d+00,
-     |   1.1342714986557d+00, 1.0181844833338d+00, 8.7098653105369d-01,
-     |   7.0726594692059d-01, 5.4152303827382d-01, 3.8676847219353d-01,
-     |   2.5332067803050d-01, 1.4791489156627d-01, 7.3204913264228d-02,
-     |   2.7699663587210d-02, 6.1338933098151d-03, 2.3001466190586d-04/
-      data (pmn(lat, 4, 7), lat = 1,72)/
-     |   4.1623752527938d-06, 3.3399742262589d-04, 2.5290193128437d-03,
-     |   9.4435554204429d-03, 2.4841654489652d-02, 5.2839612249092d-02,
-     |   9.7261641213282d-02, 1.6098061541619d-01, 2.4531915005083d-01,
-     |   3.4958196836395d-01, 4.7077890259041d-01, 6.0358002118822d-01,
-     |   7.4052193428690d-01, 8.7245942592432d-01, 9.8923157918575d-01,
-     |   1.0804889192661d+00, 1.1366100276987d+00, 1.1496244014284d+00,
-     |   1.1140542850583d+00, 1.0275923319721d+00, 8.9154402754429d-01,
-     |   7.1098286463094d-01, 4.9459066216812d-01, 2.5418300632342d-01,
-     |   3.9480894443422d-03,-2.4054635474963d-01,-4.6350121246470d-01,
-     |  -6.5009672387475d-01,-7.8766546229377d-01,-8.6672815834571d-01,
-     |  -8.8180266466118d-01,-8.3191406616117d-01,-7.2075818194415d-01,
-     |  -5.5649939637992d-01,-3.5121440494401d-01,-1.2002338003826d-01,
-     |   1.2002338003825d-01, 3.5121440494401d-01, 5.5649939637992d-01,
-     |   7.2075818194415d-01, 8.3191406616117d-01, 8.8180266466118d-01,
-     |   8.6672815834571d-01, 7.8766546229377d-01, 6.5009672387475d-01,
-     |   4.6350121246470d-01, 2.4054635474963d-01,-3.9480894443408d-03,
-     |  -2.5418300632342d-01,-4.9459066216812d-01,-7.1098286463094d-01,
-     |  -8.9154402754429d-01,-1.0275923319721d+00,-1.1140542850583d+00,
-     |  -1.1496244014284d+00,-1.1366100276987d+00,-1.0804889192661d+00,
-     |  -9.8923157918575d-01,-8.7245942592432d-01,-7.4052193428690d-01,
-     |  -6.0358002118822d-01,-4.7077890259041d-01,-3.4958196836395d-01,
-     |  -2.4531915005083d-01,-1.6098061541619d-01,-9.7261641213282d-02,
-     |  -5.2839612249093d-02,-2.4841654489652d-02,-9.4435554204429d-03,
-     |  -2.5290193128437d-03,-3.3399742262589d-04,-4.1623752527938d-06/
-      data (pmn(lat, 5, 7), lat = 1,72)/
-     |   5.4499632984216d-08, 1.3147050091593d-05, 1.6661702283458d-04,
-     |   8.7660966129779d-04, 2.9905088102876d-03, 7.8603495266184d-03,
-     |   1.7330797661708d-02, 3.3635223023372d-02, 5.9204272785838d-02,
-     |   9.6402104297291d-02, 1.4721493666261d-01, 2.1292381204102d-01,
-     |   2.9379761298685d-01, 3.8884294414881d-01, 4.9564428252742d-01,
-     |   6.1032102389202d-01, 7.2761825086899d-01, 8.4113607426249d-01,
-     |   9.4368933724755d-01, 1.0277765372533d+00, 1.0861252462136d+00,
-     |   1.1122722326734d+00, 1.1011308397769d+00, 1.0494965863362d+00,
-     |   9.5644470900351d-01, 8.2358033568248d-01, 6.5511267026592d-01,
-     |   4.5773812588348d-01, 2.4033264239612d-01, 1.3469161227276d-02,
-     |  -2.1120895762499d-01,-4.2171520964537d-01,-6.0649531869220d-01,
-     |  -7.5519309386895d-01,-8.5934882416582d-01,-9.1297670863096d-01,
-     |  -9.1297670863096d-01,-8.5934882416582d-01,-7.5519309386895d-01,
-     |  -6.0649531869220d-01,-4.2171520964537d-01,-2.1120895762499d-01,
-     |   1.3469161227275d-02, 2.4033264239612d-01, 4.5773812588348d-01,
-     |   6.5511267026592d-01, 8.2358033568248d-01, 9.5644470900351d-01,
-     |   1.0494965863362d+00, 1.1011308397769d+00, 1.1122722326734d+00,
-     |   1.0861252462136d+00, 1.0277765372533d+00, 9.4368933724755d-01,
-     |   8.4113607426249d-01, 7.2761825086899d-01, 6.1032102389202d-01,
-     |   4.9564428252742d-01, 3.8884294414881d-01, 2.9379761298685d-01,
-     |   2.1292381204102d-01, 1.4721493666261d-01, 9.6402104297291d-02,
-     |   5.9204272785838d-02, 3.3635223023372d-02, 1.7330797661708d-02,
-     |   7.8603495266185d-03, 2.9905088102876d-03, 8.7660966129779d-04,
-     |   1.6661702283458d-04, 1.3147050091593d-05, 5.4499632984216d-08/
-      data (pmn(lat, 6, 7), lat = 1,72)/
-     |   5.0532702882750d-10, 3.6628457610350d-07, 7.7614677152186d-06,
-     |   5.7444710890140d-05, 2.5359846020068d-04, 8.2139291012352d-04,
-     |   2.1617653879421d-03, 4.8985938908329d-03, 9.9078751491138d-03,
-     |   1.8319731596719d-02, 3.1486482707661d-02, 5.0913411023286d-02,
-     |   7.8152909764594d-02, 1.1466701642240d-01, 1.6166747392122d-01,
-     |   2.1994597895740d-01, 2.8970978259093d-01, 3.7043899298059d-01,
-     |   4.6078160348217d-01, 5.5850037922956d-01, 6.6048237745456d-01,
-     |   7.6281728940709d-01, 8.6094533708274d-01, 9.4986959185964d-01,
-     |   1.0244218141741d+00, 1.0795657614047d+00, 1.1107178542987d+00,
-     |   1.1140625265796d+00, 1.0868387832292d+00, 1.0275755879979d+00,
-     |   9.3625665561235d-01, 8.1439984271317d-01, 6.6504227030689d-01,
-     |   4.9262910667337d-01, 3.0281104995337d-01, 1.0216239658339d-01,
-     |  -1.0216239658339d-01,-3.0281104995337d-01,-4.9262910667337d-01,
-     |  -6.6504227030689d-01,-8.1439984271317d-01,-9.3625665561235d-01,
-     |  -1.0275755879979d+00,-1.0868387832292d+00,-1.1140625265796d+00,
-     |  -1.1107178542987d+00,-1.0795657614047d+00,-1.0244218141741d+00,
-     |  -9.4986959185965d-01,-8.6094533708274d-01,-7.6281728940709d-01,
-     |  -6.6048237745456d-01,-5.5850037922956d-01,-4.6078160348217d-01,
-     |  -3.7043899298059d-01,-2.8970978259093d-01,-2.1994597895741d-01,
-     |  -1.6166747392122d-01,-1.1466701642240d-01,-7.8152909764594d-02,
-     |  -5.0913411023286d-02,-3.1486482707661d-02,-1.8319731596719d-02,
-     |  -9.9078751491139d-03,-4.8985938908329d-03,-2.1617653879421d-03,
-     |  -8.2139291012352d-04,-2.5359846020068d-04,-5.7444710890140d-05,
-     |  -7.7614677152186d-06,-3.6628457610350d-07,-5.0532702882750d-10/
-      data (pmn(lat, 7, 7), lat = 1,72)/
-     |   2.9468959484535d-12, 6.4162901655554d-09, 2.2717712279738d-07,
-     |   2.3630134293620d-06, 1.3481691365079d-05, 5.3717790168887d-05,
-     |   1.6840054682548d-04, 4.4441497090653d-04, 1.0297473886745d-03,
-     |   2.1543594168087d-03, 4.1498761976399d-03, 7.4651553820386d-03,
-     |   1.2674690633921d-02, 2.0477035422382d-02, 3.1681012987685d-02,
-     |   4.7178373819386d-02, 6.7902705717813d-02, 9.4775697594070d-02,
-     |   1.2864319011776d-01, 1.7020468765156d-01, 2.1994103189480d-01,
-     |   2.7804563728035d-01, 3.4436497509703d-01, 4.1835381484050d-01,
-     |   4.9905007442749d-01, 5.8507302489071d-01, 6.7464711026916d-01,
-     |   7.6565188587972d-01, 8.5569668189473d-01, 9.4221671463974d-01,
-     |   1.0225856496092d+00, 1.0942382127571d+00, 1.1547954728605d+00,
-     |   1.2021849672502d+00, 1.2347479641635d+00, 1.2513268495393d+00,
-     |   1.2513268495393d+00, 1.2347479641635d+00, 1.2021849672502d+00,
-     |   1.1547954728605d+00, 1.0942382127571d+00, 1.0225856496092d+00,
-     |   9.4221671463974d-01, 8.5569668189473d-01, 7.6565188587972d-01,
-     |   6.7464711026916d-01, 5.8507302489071d-01, 4.9905007442749d-01,
-     |   4.1835381484050d-01, 3.4436497509703d-01, 2.7804563728035d-01,
-     |   2.1994103189480d-01, 1.7020468765156d-01, 1.2864319011776d-01,
-     |   9.4775697594070d-02, 6.7902705717813d-02, 4.7178373819386d-02,
-     |   3.1681012987685d-02, 2.0477035422382d-02, 1.2674690633921d-02,
-     |   7.4651553820386d-03, 4.1498761976399d-03, 2.1543594168087d-03,
-     |   1.0297473886745d-03, 4.4441497090653d-04, 1.6840054682548d-04,
-     |   5.3717790168888d-05, 1.3481691365079d-05, 2.3630134293620d-06,
-     |   2.2717712279738d-07, 6.4162901655554d-09, 2.9468959484535d-12/
-      data (pmn(lat, 0, 8), lat = 1,72)/
-     |   2.8905509549660d+00, 2.6949317709927d+00, 2.3233905532828d+00,
-     |   1.8131372372949d+00, 1.2147779599473d+00, 5.8674086022237d-01,
-     |  -1.1114521585875d-02,-5.2397177917262d-01,-9.0787830380507d-01,
-     |  -1.1342551961052d+00,-1.1925968647663d+00,-1.0910755614485d+00,
-     |  -8.5501274849893d-01,-5.2342834840633d-01,-1.4410108105517d-01,
-     |   2.3225789033057d-01, 5.5801959572477d-01, 7.9412930225736d-01,
-     |   9.1443718436897d-01, 9.0837621795315d-01, 7.8170032932847d-01,
-     |   5.5523235823666d-01, 2.6181136091691d-01,-5.8156706473090d-02,
-     |  -3.6197746800810d-01,-6.1011532229722d-01,-7.7113702985772d-01,
-     |  -8.2554944280159d-01,-7.6807202350928d-01,-6.0808261891248d-01,
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-      data (pmn(lat, 1, 8), lat = 1,72)/
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-      data (pmn(lat, 2, 8), lat = 1,72)/
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-      data (pmn(lat, 3, 8), lat = 1,72)/
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-      data (pmn(lat, 4, 8), lat = 1,72)/
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-      data (pmn(lat, 5, 8), lat = 1,72)/
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-      data (pmn(lat, 6, 8), lat = 1,72)/
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-      data (pmn(lat, 7, 8), lat = 1,72)/
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-      data (pmn(lat, 8, 8), lat = 1,72)/
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-      data (pmn(lat, 0, 9), lat = 1,72)/
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-      data (pmn(lat, 1, 9), lat = 1,72)/
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-     |   1.3920225795427d+00, 9.1183580393358d-01, 3.1727080820232d-01/
-      data (pmn(lat, 2, 9), lat = 1,72)/
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-     |  -3.7352542036139d-01,-1.4231599485723d-01,-1.6262699103655d-02/
-      data (pmn(lat, 3, 9), lat = 1,72)/
-     |   5.4246733154013d-04, 1.4349125566770d-02, 6.3743167042262d-02,
-     |   1.6429217882574d-01, 3.2078167499992d-01, 5.2557049364933d-01,
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-     |   6.3743167042262d-02, 1.4349125566770d-02, 5.4246733154013d-04/
-      data (pmn(lat, 4, 9), lat = 1,72)/
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-     |   2.8514268089249d-02, 7.3021148026398d-02, 1.5008809190803d-01,
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-      data (pmn(lat, 5, 9), lat = 1,72)/
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-     |   3.7162240111120d-03, 1.2400468849722d-02, 3.1692960725160d-02,
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-     |   7.1802686546275d-04, 5.7274939731464d-05, 2.3871347121914d-07/
-      data (pmn(lat, 6, 9), lat = 1,72)/
-     |   3.3626888597507d-09, 2.4261750758799d-06, 5.0934658203056d-05,
-     |   3.7173772295891d-04, 1.6105041156306d-03, 5.0939199158602d-03,
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-     |  -5.0934658203056d-05,-2.4261750758799d-06,-3.3626888597507d-09/
-      data (pmn(lat, 7, 9), lat = 1,72)/
-     |   3.6313402782340d-11, 7.8745810661109d-08, 2.7655575617568d-06,
-     |   2.8416863155151d-05, 1.5949194847378d-04, 6.2252386742140d-04,
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-     |  -5.3976541301978d-01,-2.9761779726947d-01,-3.1196785406300d-02,
-     |   2.4044024301464d-01, 4.9880252590188d-01, 7.2752258848102d-01,
-     |   9.1362855915892d-01, 1.0484154976169d+00, 1.1278493362291d+00,
-     |   1.1524927651375d+00, 1.1269964783727d+00, 1.0592449943845d+00,
-     |   9.5927848050010d-01, 8.3812737761376d-01, 7.0669424680958d-01,
-     |   5.7479864451496d-01, 4.5046955156128d-01, 3.3953098426164d-01,
-     |   2.4548564708137d-01, 1.6966444138042d-01, 1.1158098429904d-01,
-     |   6.9413134354437d-02, 4.0529088199394d-02, 2.1983179298616d-02,
-     |   1.0923638599075d-02, 4.8776127265212d-03, 1.9034466283848d-03,
-     |   6.2252386742140d-04, 1.5949194847378d-04, 2.8416863155151d-05,
-     |   2.7655575617568d-06, 7.8745810661109d-08, 3.6313402782340d-11/
-      data (pmn(lat, 8, 9), lat = 1,72)/
-     |   2.8877237017728d-13, 1.8814511155684d-09, 1.1046192814289d-07,
-     |   1.5963174756220d-06, 1.1590317030823d-05, 5.5723067054956d-05,
-     |   2.0326906784044d-04, 6.0778094841013d-04, 1.5628788697467d-03,
-     |   3.5682914377777d-03, 7.3962753276002d-03, 1.4144230256677d-02,
-     |   2.5256755842737d-02, 4.2500466950820d-02, 6.7878124687207d-02,
-     |   1.0347507610908d-01, 1.5124008762199d-01, 2.1271333415173d-01,
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-     |   1.1620531085429d+00, 1.1702489225611d+00, 1.1373093312279d+00,
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-     |  -1.4144230256677d-02,-7.3962753276002d-03,-3.5682914377777d-03,
-     |  -1.5628788697468d-03,-6.0778094841013d-04,-2.0326906784044d-04,
-     |  -5.5723067054957d-05,-1.1590317030823d-05,-1.5963174756220d-06,
-     |  -1.1046192814289d-07,-1.8814511155684d-09,-2.8877237017728d-13/
-      data (pmn(lat, 9, 9), lat = 1,72)/
-     |   1.4851683178191d-15, 2.9066053509160d-11, 2.8514195607584d-09,
-     |   5.7911281464213d-08, 5.4340152025627d-07, 3.2138822883805d-06,
-     |   1.3964776814451d-05, 4.8628636410388d-05, 1.4325284598155d-04,
-     |   3.7007277441150d-04, 8.5970969885522d-04, 1.8290001471831d-03,
-     |   3.6124142505124d-03, 6.6934501911391d-03, 1.1730972255163d-02,
-     |   1.9574490213805d-02, 3.1262132923046d-02, 4.7995749173188d-02,
-     |   7.1089254729412d-02, 1.0188896887306d-01, 1.4166802343455d-01,
-     |   1.9150061955960d-01, 2.5212548937958d-01, 3.2381088652959d-01,
-     |   4.0623530367639d-01, 4.9839851776381d-01, 5.9857627561533d-01,
-     |   7.0432893842789d-01, 8.1256990911427d-01, 9.1969408572488d-01,
-     |   1.0217604987087d+00, 1.1147173814974d+00, 1.1946528920773d+00,
-     |   1.2580511754289d+00, 1.3020319060616d+00, 1.3245521297797d+00,
-     |   1.3245521297797d+00, 1.3020319060616d+00, 1.2580511754289d+00,
-     |   1.1946528920773d+00, 1.1147173814974d+00, 1.0217604987087d+00,
-     |   9.1969408572488d-01, 8.1256990911427d-01, 7.0432893842789d-01,
-     |   5.9857627561533d-01, 4.9839851776381d-01, 4.0623530367640d-01,
-     |   3.2381088652959d-01, 2.5212548937958d-01, 1.9150061955960d-01,
-     |   1.4166802343455d-01, 1.0188896887306d-01, 7.1089254729412d-02,
-     |   4.7995749173188d-02, 3.1262132923046d-02, 1.9574490213805d-02,
-     |   1.1730972255163d-02, 6.6934501911391d-03, 3.6124142505124d-03,
-     |   1.8290001471831d-03, 8.5970969885522d-04, 3.7007277441150d-04,
-     |   1.4325284598155d-04, 4.8628636410388d-05, 1.3964776814451d-05,
-     |   3.2138822883805d-06, 5.4340152025627d-07, 5.7911281464213d-08,
-     |   2.8514195607584d-09, 2.9066053509160d-11, 1.4851683178191d-15/
-      data (pmn(lat, 0,10), lat = 1,72)/
-     |   3.1980947933547d+00, 2.8696808011820d+00, 2.2632186080462d+00,
-     |   1.4709043823003d+00, 6.1120415271627d-01,-1.9098455946287d-01,
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-     |   2.3022142066896d-01, 6.6328348123763d-01, 9.3666029453034d-01,
-     |   1.0069236695376d+00, 8.7162028860457d-01, 5.6778229824740d-01,
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-     |  -8.2808788252793d-01,-8.7074868556412d-01,-7.3549498244289d-01,
-     |  -4.5433931891197d-01,-8.7410197087276d-02, 2.8950661998782d-01,
-     |   6.0021928440425d-01, 7.8317728331930d-01, 8.0340188903954d-01,
-     |   6.5902573546342d-01, 3.8123602206861d-01, 2.7705532387479d-02,
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-     |  -7.7664886538974d-01,-6.1669164650213d-01,-3.2914191734348d-01,
-     |   2.7705532387478d-02, 3.8123602206861d-01, 6.5902573546342d-01,
-     |   8.0340188903954d-01, 7.8317728331930d-01, 6.0021928440425d-01,
-     |   2.8950661998782d-01,-8.7410197087274d-02,-4.5433931891196d-01,
-     |  -7.3549498244289d-01,-8.7074868556412d-01,-8.2808788252793d-01,
-     |  -6.1078101896810d-01,-2.5773236392844d-01, 1.6319847129165d-01,
-     |   5.6778229824740d-01, 8.7162028860457d-01, 1.0069236695376d+00,
-     |   9.3666029453034d-01, 6.6328348123763d-01, 2.3022142066896d-01,
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-     |  -1.3175093939739d+00,-1.2120429270927d+00,-8.2496137889155d-01,
-     |  -1.9098455946287d-01, 6.1120415271627d-01, 1.4709043823003d+00,
-     |   2.2632186080462d+00, 2.8696808011820d+00, 3.1980947933547d+00/
-      data (pmn(lat, 1,10), lat = 1,72)/
-     |   3.6831571518573d-01, 1.0483065938646d+00, 1.5679868941160d+00,
-     |   1.8508179899820d+00, 1.8601156555213d+00, 1.6047482049455d+00,
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-     |  -1.0689674870765d+00,-7.9471477218204d-01,-3.8398878852891d-01,
-     |   7.7749755381387d-02, 4.9975879601172d-01, 8.0290117013021d-01,
-     |   9.3390591780311d-01, 8.7442719026345d-01, 6.4333435074973d-01,
-     |   2.9195469900411d-01,-1.0668823633093d-01,-4.7248991282939d-01,
-     |  -7.3389315868353d-01,-8.4154333030437d-01,-7.7740286637576d-01,
-     |  -5.5765724638053d-01,-2.2894960307452d-01, 1.4123854148487d-01,
-     |   4.7813112811482d-01, 7.1446316382328d-01, 8.0366682643719d-01,
-     |   7.2889185996653d-01, 5.0613547434173d-01, 1.8090544129868d-01,
-     |  -1.8090544129868d-01,-5.0613547434172d-01,-7.2889185996653d-01,
-     |  -8.0366682643719d-01,-7.1446316382328d-01,-4.7813112811481d-01,
-     |  -1.4123854148487d-01, 2.2894960307452d-01, 5.5765724638053d-01,
-     |   7.7740286637576d-01, 8.4154333030437d-01, 7.3389315868353d-01,
-     |   4.7248991282939d-01, 1.0668823633093d-01,-2.9195469900411d-01,
-     |  -6.4333435074973d-01,-8.7442719026345d-01,-9.3390591780311d-01,
-     |  -8.0290117013022d-01,-4.9975879601173d-01,-7.7749755381389d-02,
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-     |   1.1429604590436d+00, 9.8739874663265d-01, 6.1425131975931d-01,
-     |   7.6090678204115d-02,-5.4203449437175d-01,-1.1368508706426d+00,
-     |  -1.6047482049455d+00,-1.8601156555213d+00,-1.8508179899820d+00,
-     |  -1.5679868941160d+00,-1.0483065938646d+00,-3.6831571518573d-01/
-      data (pmn(lat, 2,10), lat = 1,72)/
-     |   2.0923110543922d-02, 1.8192976885970d-01, 4.7126554818125d-01,
-     |   8.2974277183828d-01, 1.1828466099319d+00, 1.4548449490456d+00,
-     |   1.5831892407043d+00, 1.5305149299196d+00, 1.2919964907112d+00,
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-     |  -5.7136415029052d-01,-8.9829209150245d-01,-1.0460783690407d+00,
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-     |   7.3516741918937d-03, 4.0768857625201d-01, 7.1577828878910d-01,
-     |   8.7691798906842d-01, 8.6505503758604d-01, 6.8709576220078d-01,
-     |   3.8104115380635d-01, 8.3484264801091d-03,-3.5800546632486d-01,
-     |  -6.4748630346303d-01,-8.0535247998069d-01,-8.0288402442001d-01,
-     |  -6.4258356920583d-01,-3.5739964026012d-01,-4.1555521053970d-03,
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-     |   7.8456674262804d-01, 6.2875987520790d-01, 3.4753819184239d-01,
-     |  -4.1555521053961d-03,-3.5739964026012d-01,-6.4258356920583d-01,
-     |  -8.0288402442001d-01,-8.0535247998069d-01,-6.4748630346303d-01,
-     |  -3.5800546632486d-01, 8.3484264801072d-03, 3.8104115380634d-01,
-     |   6.8709576220078d-01, 8.6505503758604d-01, 8.7691798906842d-01,
-     |   7.1577828878910d-01, 4.0768857625201d-01, 7.3516741918956d-03,
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-     |  -1.0460783690407d+00,-8.9829209150245d-01,-5.7136415029053d-01,
-     |  -1.1394774525555d-01, 4.0251385700174d-01, 8.9667697990650d-01,
-     |   1.2919964907112d+00, 1.5305149299196d+00, 1.5831892407043d+00,
-     |   1.4548449490456d+00, 1.1828466099319d+00, 8.2974277183828d-01,
-     |   4.7126554818125d-01, 1.8192976885970d-01, 2.0923110543922d-02/
-      data (pmn(lat, 3,10), lat = 1,72)/
-     |   7.7673085310441d-04, 2.0447642243088d-02, 8.9956727154650d-02,
-     |   2.2842005578958d-01, 4.3688761625357d-01, 6.9668391823852d-01,
-     |   9.7197157466189d-01, 1.2161179841563d+00, 1.3806783189435d+00,
-     |   1.4252642828151d+00, 1.3263548194913d+00, 1.0832667176419d+00,
-     |   7.2001294184430d-01, 2.8254075976668d-01,-1.6828284022171d-01,
-     |  -5.6675006258374d-01,-8.5365781045212d-01,-9.8684264337948d-01,
-     |  -9.4893578863205d-01,-7.5084835069836d-01,-4.3026266440736d-01,
-     |  -4.5317608990794d-02, 3.3543525899532d-01, 6.4502783013112d-01,
-     |   8.2986805093277d-01, 8.5918898320772d-01, 7.3042502132212d-01,
-     |   4.6951864770713d-01, 1.2608235260687d-01,-2.3571898294752d-01,
-     |  -5.4891349411832d-01,-7.5595747504966d-01,-8.1922701362317d-01,
-     |  -7.2784776556922d-01,-4.9961269326909d-01,-1.7763682414287d-01,
-     |   1.7763682414287d-01, 4.9961269326909d-01, 7.2784776556922d-01,
-     |   8.1922701362317d-01, 7.5595747504966d-01, 5.4891349411832d-01,
-     |   2.3571898294752d-01,-1.2608235260687d-01,-4.6951864770713d-01,
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-     |  -6.4502783013112d-01,-3.3543525899532d-01, 4.5317608990794d-02,
-     |   4.3026266440736d-01, 7.5084835069836d-01, 9.4893578863205d-01,
-     |   9.8684264337948d-01, 8.5365781045213d-01, 5.6675006258374d-01,
-     |   1.6828284022171d-01,-2.8254075976668d-01,-7.2001294184429d-01,
-     |  -1.0832667176419d+00,-1.3263548194913d+00,-1.4252642828151d+00,
-     |  -1.3806783189435d+00,-1.2161179841563d+00,-9.7197157466189d-01,
-     |  -6.9668391823852d-01,-4.3688761625357d-01,-2.2842005578958d-01,
-     |  -8.9956727154650d-02,-2.0447642243088d-02,-7.7673085310441d-04/
-      data (pmn(lat, 4,10), lat = 1,72)/
-     |   2.0983728380796d-05, 1.6665016451180d-03, 1.2359178053540d-02,
-     |   4.4715859597207d-02, 1.1269042681043d-01, 2.2689112200351d-01,
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-     |   1.0395085926270d+00, 1.2154798919642d+00, 1.3141327505916d+00,
-     |   1.3077497003772d+00, 1.1816694343890d+00, 9.3852212489562d-01,
-     |   5.9964963642552d-01, 2.0322823602460d-01,-2.0078480304826d-01,
-     |  -5.5815201300971d-01,-8.1908037213133d-01,-9.4666129575799d-01,
-     |  -9.2350300785783d-01,-7.5529923850150d-01,-4.7058506045012d-01,
-     |  -1.1659032565738d-01, 2.4820388713421d-01, 5.6359662404031d-01,
-     |   7.7767659253222d-01, 8.5558013061041d-01, 7.8545499108806d-01,
-     |   5.8055311800456d-01, 2.7704036935551d-01,-7.2141872463346d-02,
-     |  -4.0633202367848d-01,-6.6756898855087d-01,-8.1057656050958d-01,
-     |  -8.1057656050958d-01,-6.6756898855087d-01,-4.0633202367848d-01,
-     |  -7.2141872463347d-02, 2.7704036935551d-01, 5.8055311800456d-01,
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-     |   5.6359662404031d-01, 2.4820388713422d-01,-1.1659032565737d-01,
-     |  -4.7058506045012d-01,-7.5529923850150d-01,-9.2350300785783d-01,
-     |  -9.4666129575800d-01,-8.1908037213133d-01,-5.5815201300971d-01,
-     |  -2.0078480304826d-01, 2.0322823602460d-01, 5.9964963642552d-01,
-     |   9.3852212489562d-01, 1.1816694343890d+00, 1.3077497003772d+00,
-     |   1.3141327505916d+00, 1.2154798919642d+00, 1.0395085926270d+00,
-     |   8.2091256774650d-01, 5.9469269741049d-01, 3.9018907304193d-01,
-     |   2.2689112200351d-01, 1.1269042681043d-01, 4.4715859597207d-02,
-     |   1.2359178053540d-02, 1.6665016451180d-03, 2.0983728380796d-05/
-      data (pmn(lat, 5,10), lat = 1,72)/
-     |   4.3450832324798d-07, 1.0392119857914d-04, 1.2944919374711d-03,
-     |   6.6350543940206d-03, 2.1851077189193d-02, 5.4918322788914d-02,
-     |   1.1462169012780d-01, 2.0832154685660d-01, 3.3939327346302d-01,
-     |   5.0494272912558d-01, 6.9441007112408d-01, 8.8954746629289d-01,
-     |   1.0660115983472d+00, 1.1964936542265d+00, 1.2549790350501d+00,
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-     |  -5.2372608829412d-01,-7.7560532522633d-01,-9.1388917181178d-01,
-     |  -9.1990485446034d-01,-7.9334506162552d-01,-5.5307511083123d-01,
-     |  -2.3491742538692d-01, 1.1334561745300d-01, 4.3903090780434d-01,
-     |   6.9258623216660d-01, 8.3531050442840d-01, 8.4549861058643d-01,
-     |   7.2198177532490d-01, 4.8444776790178d-01, 1.7044888391404d-01,
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-     |  -1.2944919374711d-03,-1.0392119857914d-04,-4.3450832324798d-07/
-      data (pmn(lat, 6,10), lat = 1,72)/
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-     |   7.6859408378258d-04, 3.2928980280563d-03, 1.0268966892354d-02,
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-     |   1.0268966892354d-02, 3.2928980280563d-03, 7.6859408378258d-04,
-     |   1.0618606937373d-04, 5.0857368571366d-06, 7.0680864179184d-09/
-      data (pmn(lat, 7,10), lat = 1,72)/
-     |   9.0851984063335d-11, 1.9654407009315d-07, 6.8697080258260d-06,
-     |   7.0080756222186d-05, 3.8953885554254d-04, 1.5019304025979d-03,
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-     |  -6.8697080258260d-06,-1.9654407009315d-07,-9.0851984063335d-11/
-      data (pmn(lat, 8,10), lat = 1,72)/
-     |   9.1053131957393d-13, 5.9198748162311d-09, 3.4608934988167d-07,
-     |   4.9695520552599d-06, 3.5774014194528d-05, 1.7014305095138d-04,
-     |   6.1258243386504d-04, 1.8035575017075d-03, 4.5554876082349d-03,
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-     |   6.6707791365515d-02, 1.0868918356432d-01, 1.6749013773013d-01,
-     |   2.4541082060636d-01, 3.4330656217032d-01, 4.5995102060036d-01,
-     |   5.9153281429097d-01, 7.3140241614237d-01, 8.7016788681847d-01,
-     |   9.9619931314875d-01, 1.0965465915042d+00, 1.1582108857800d+00,
-     |   1.1696465580942d+00, 1.1223183600802d+00, 1.0121079833519d+00,
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-     |  -7.2895636821363d-01,-8.9116151690770d-01,-9.7599043412257d-01,
-     |  -9.7599043412258d-01,-8.9116151690770d-01,-7.2895636821363d-01,
-     |  -5.0346923409313d-01,-2.3391707821398d-01, 5.7394935203150d-02,
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-     |   1.0121079833519d+00, 1.1223183600802d+00, 1.1696465580942d+00,
-     |   1.1582108857800d+00, 1.0965465915042d+00, 9.9619931314875d-01,
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-     |   1.6749013773013d-01, 1.0868918356432d-01, 6.6707791365516d-02,
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-     |   1.7014305095138d-04, 3.5774014194528d-05, 4.9695520552599d-06,
-     |   3.4608934988167d-07, 5.9198748162311d-09, 9.1053131957393d-13/
-      data (pmn(lat, 9,10), lat = 1,72)/
-     |   6.8042766171551d-15, 1.3291220452219d-10, 1.2989181062275d-08,
-     |   2.6229417560217d-07, 2.4423305157965d-06, 1.4305788910137d-05,
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-     |  -1.2989181062275d-08,-1.3291220452219d-10,-6.8042766171551d-15/
-      data (pmn(lat,10,10), lat = 1,72)/
-     |   3.3198866367850d-17, 1.9479564625159d-12, 3.1809110899400d-10,
-     |   9.0272154692195d-09, 1.0863036135508d-07, 7.8275891222859d-07,
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-     |   1.3569390544675d+00, 1.3313290897494d+00, 1.2814567591584d+00,
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-     |   3.1809110899400d-10, 1.9479564625159d-12, 3.3198866367850d-17/
-      data (pmn(lat, 0,11), lat = 1,72)/
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-      data (pmn(lat, 1,11), lat = 1,72)/
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-     |   1.7359546436378d+00, 1.1874161678659d+00, 4.2169196396729d-01/
-      data (pmn(lat, 2,11), lat = 1,72)/
-     |   2.6293689109829d-02, 2.2701815949622d-01, 5.7956239690572d-01,
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-      data (pmn(lat, 3,11), lat = 1,72)/
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-      data (pmn(lat, 4,11), lat = 1,72)/
-     |   3.2129654221973d-05, 2.5409825032993d-03, 1.8684835151637d-02,
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-     |  -1.8684835151637d-02,-2.5409825032993d-03,-3.2129654221973d-05/
-      data (pmn(lat, 5,11), lat = 1,72)/
-     |   7.4224485003494d-07, 1.7690189997033d-04, 2.1880762752196d-03,
-     |   1.1095546234304d-02, 3.6011926858617d-02, 8.8833179125141d-02,
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-     |   2.5414931762737d-01, 6.5915003380412d-01, 9.9081623637036d-01,
-     |   1.2109464659018d+00, 1.3028029324732d+00, 1.2715058280470d+00,
-     |   1.1403006533942d+00, 9.4387751354528d-01, 7.2042581930254d-01,
-     |   5.0420657183187d-01, 3.2012275046271d-01, 1.8116183031209d-01,
-     |   8.8833179125142d-02, 3.6011926858617d-02, 1.1095546234304d-02,
-     |   2.1880762752196d-03, 1.7690189997033d-04, 7.4224485003494d-07/
-      data (pmn(lat, 6,11), lat = 1,72)/
-     |   1.3634308865486d-08, 9.7809901193518d-06, 2.0299114611119d-04,
-     |   1.4559284198847d-03, 6.1611301601413d-03, 1.8914154949088d-02,
-     |   4.6627365289233d-02, 9.7742432309963d-02, 1.8046009724290d-01,
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-     |  -2.0299114611119d-04,-9.7809901193518d-06,-1.3634308865486d-08/
-      data (pmn(lat, 7,11), lat = 1,72)/
-     |   2.0162891196558d-10, 4.3505028630968d-07, 1.5126221882878d-05,
-     |   1.5308607564046d-04, 8.4184917246311d-04, 3.2021356911371d-03,
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-     |   9.1187630059209d-01, 1.0667009449844d+00, 1.1756662499286d+00,
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-     |   7.8822511024374d-01, 4.7714528337700d-01, 1.2126243723836d-01,
-     |  -2.3955875861979d-01,-5.6108448716404d-01,-8.0124991027619d-01,
-     |  -9.2692919097626d-01,-9.1975643695975d-01,-7.7990359971804d-01,
-     |  -5.2702216203045d-01,-1.9802320456704d-01, 1.5807717172886d-01,
-     |   4.8748558456348d-01, 7.3995686212336d-01, 8.7673083981555d-01,
-     |   8.7673083981555d-01, 7.3995686212336d-01, 4.8748558456348d-01,
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-     |  -7.7990359971804d-01,-9.1975643695975d-01,-9.2692919097626d-01,
-     |  -8.0124991027619d-01,-5.6108448716405d-01,-2.3955875861979d-01,
-     |   1.2126243723836d-01, 4.7714528337700d-01, 7.8822511024374d-01,
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-     |   5.0216092282672d-02, 2.3421699028240d-02, 9.4878995587832d-03,
-     |   3.2021356911371d-03, 8.4184917246311d-04, 1.5308607564046d-04,
-     |   1.5126221882878d-05, 4.3505028630968d-07, 2.0162891196558d-10/
-      data (pmn(lat, 8,11), lat = 1,72)/
-     |   2.3973916800202d-12, 1.5550512709213d-08, 9.0487820543989d-07,
-     |   1.2902009211279d-05, 9.2001384512128d-05, 4.3236259924122d-04,
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-     |   1.4392588344105d-01, 2.2590687802176d-01, 3.3383632111855d-01,
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-     |   1.1938441607509d+00, 1.1484297740329d+00, 1.0201181198009d+00,
-     |   8.1089589895160d-01, 5.3318971397905d-01, 2.0951769129381d-01,
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-     |  -8.8779645674732d-01,-9.5539424418386d-01,-9.0506610049715d-01,
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-     |   9.0506610049715d-01, 9.5539424418386d-01, 8.8779645674732d-01,
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-     |  -4.3236259924123d-04,-9.2001384512128d-05,-1.2902009211279d-05,
-     |  -9.0487820543989d-07,-1.5550512709213d-08,-2.3973916800202d-12/
-      data (pmn(lat, 9,11), lat = 1,72)/
-     |   2.2512438013511d-14, 4.3882865834156d-10, 4.2705765626469d-08,
-     |   8.5692738305992d-07, 7.9117513026693d-06, 4.5849659222490d-05,
-     |   1.9437336243149d-04, 6.5747989040246d-04, 1.8728802585329d-03,
-     |   4.6565494436834d-03, 1.0360105273701d-02, 2.1000070273895d-02,
-     |   3.9303728130044d-02, 6.8612312351084d-02, 1.1259336757756d-01,
-     |   1.7474202295219d-01, 2.5769325281622d-01, 3.6241734534706d-01,
-     |   4.8741873136897d-01, 6.2809247223986d-01, 7.7640243743491d-01,
-     |   9.2102343962626d-01, 1.0480349391694d+00, 1.1421717739963d+00,
-     |   1.1885396351312d+00, 1.1746064263449d+00, 1.0922038475008d+00,
-     |   9.3923344975679d-01, 7.2077968105641d-01, 4.4939267184474d-01,
-     |   1.4440987950081d-01,-1.6967661650077d-01,-4.6565301908738d-01,
-     |  -7.1653046643820d-01,-8.9862513952809d-01,-9.9435382250005d-01,
-     |  -9.9435382250006d-01,-8.9862513952809d-01,-7.1653046643821d-01,
-     |  -4.6565301908738d-01,-1.6967661650077d-01, 1.4440987950081d-01,
-     |   4.4939267184474d-01, 7.2077968105641d-01, 9.3923344975679d-01,
-     |   1.0922038475008d+00, 1.1746064263449d+00, 1.1885396351312d+00,
-     |   1.1421717739963d+00, 1.0480349391694d+00, 9.2102343962626d-01,
-     |   7.7640243743492d-01, 6.2809247223986d-01, 4.8741873136897d-01,
-     |   3.6241734534706d-01, 2.5769325281622d-01, 1.7474202295220d-01,
-     |   1.1259336757756d-01, 6.8612312351084d-02, 3.9303728130045d-02,
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-     |   1.8728802585329d-03, 6.5747989040246d-04, 1.9437336243149d-04,
-     |   4.5849659222490d-05, 7.9117513026693d-06, 8.5692738305992d-07,
-     |   4.2705765626469d-08, 4.3882865834156d-10, 2.2512438013511d-14/
-      data (pmn(lat,10,11), lat = 1,72)/
-     |   1.5917828072831d-16, 9.3220689178340d-12, 1.5164442441907d-09,
-     |   4.2789139335152d-08, 5.1096256296596d-07, 3.6463985734855d-06,
-     |   1.8436526206811d-05, 7.2739077928369d-05, 2.3780182140287d-04,
-     |   6.7041942959596d-04, 1.6758959551216d-03, 3.7902818350735d-03,
-     |   7.8732681439327d-03, 1.5194763811499d-02, 2.7490464691033d-02,
-     |   4.6957021901677d-02, 7.6158037342801d-02, 1.1781966890781d-01,
-     |   1.7450946384647d-01, 2.4821287515331d-01, 3.3984580985368d-01,
-     |   4.4876425464198d-01, 5.7234866213734d-01, 7.0574683875482d-01,
-     |   8.4185137691846d-01, 9.7156524007024d-01, 1.0843736503066d+00,
-     |   1.1691963484375d+00, 1.2154481454612d+00, 1.2141951381686d+00,
-     |   1.1592664853985d+00, 1.0481730893281d+00, 8.8269794354017d-01,
-     |   6.6905778796338d-01, 4.1758786268318d-01, 1.4196366043075d-01,
-     |  -1.4196366043075d-01,-4.1758786268318d-01,-6.6905778796338d-01,
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-      data (pmn(lat,11,11), lat = 1,72)/
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-      data (pmn(lat, 0,12), lat = 1,72)/
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-      data (pmn(lat, 1,12), lat = 1,72)/
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-      data (pmn(lat, 2,12), lat = 1,72)/
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-     |   1.1697946903395d+00, 1.5533699649895d+00, 1.7261727300576d+00,
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-      data (pmn(lat, 3,12), lat = 1,72)/
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-      data (pmn(lat, 4,12), lat = 1,72)/
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-     |   2.7153232585584d-02, 3.7271693893656d-03, 4.7345526275095d-05/
-      data (pmn(lat, 5,12), lat = 1,72)/
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-      data (pmn(lat, 6,12), lat = 1,72)/
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-     |   2.5763350972291d-03, 1.0755607033077d-02, 3.2451773101433d-02,
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-     |  -8.7511205317002d-01,-9.6432363612385d-01,-8.6569696252482d-01,
-     |  -5.9773686612746d-01,-2.0935050768651d-01, 2.3182336436561d-01,
-     |   6.5397493316433d-01, 9.9520458189235d-01, 1.2141482998440d+00,
-     |   1.2952210273642d+00, 1.2479586865196d+00, 1.1013351528749d+00,
-     |   8.9497659066282d-01, 6.6966812001459d-01, 4.5938555582754d-01,
-     |   2.8639410086057d-01, 1.5996987012128d-01, 7.8308516672642d-02,
-     |   3.2451773101434d-02, 1.0755607033077d-02, 2.5763350972291d-03,
-     |   3.6281296977684d-04, 1.7597495756125d-05, 2.4610623295895d-08/
-      data (pmn(lat, 7,12), lat = 1,72)/
-     |   4.0963365144416d-10, 8.8133170410848d-07, 3.0467152663917d-05,
-     |   3.0567280505314d-04, 1.6613175621867d-03, 6.2255194310218d-03,
-     |   1.8112013842475d-02, 4.3743970923660d-02, 9.1402244551603d-02,
-     |   1.6974193119788d-01, 2.8532454294514d-01, 4.3959082725227d-01,
-     |   6.2603449384938d-01, 8.2850800304033d-01, 1.0215096337067d+00,
-     |   1.1729429464972d+00, 1.2492625219022d+00, 1.2222536774014d+00,
-     |   1.0761127966397d+00, 8.1317211599709d-01, 4.5667199666686d-01,
-     |   4.9459841533817d-02,-3.5168409478545d-01,-6.8539748281284d-01,
-     |  -8.9712683830097d-01,-9.5027684361689d-01,-8.3467006394817d-01,
-     |  -5.7026168249050d-01,-2.0495368676262d-01, 1.9341858308656d-01,
-     |   5.4956584567008d-01, 7.9527667748791d-01, 8.8302818353344d-01,
-     |   7.9578375211968d-01, 5.5081420430235d-01, 1.9660718775188d-01,
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-     |  -8.8302818353344d-01,-7.9527667748791d-01,-5.4956584567007d-01,
-     |  -1.9341858308656d-01, 2.0495368676262d-01, 5.7026168249050d-01,
-     |   8.3467006394816d-01, 9.5027684361689d-01, 8.9712683830097d-01,
-     |   6.8539748281284d-01, 3.5168409478545d-01,-4.9459841533817d-02,
-     |  -4.5667199666685d-01,-8.1317211599709d-01,-1.0761127966397d+00,
-     |  -1.2222536774014d+00,-1.2492625219022d+00,-1.1729429464972d+00,
-     |  -1.0215096337067d+00,-8.2850800304033d-01,-6.2603449384938d-01,
-     |  -4.3959082725227d-01,-2.8532454294514d-01,-1.6974193119788d-01,
-     |  -9.1402244551603d-02,-4.3743970923660d-02,-1.8112013842475d-02,
-     |  -6.2255194310218d-03,-1.6613175621867d-03,-3.0567280505314d-04,
-     |  -3.0467152663917d-05,-8.8133170410848d-07,-4.0963365144416d-10/
-      data (pmn(lat, 8,12), lat = 1,72)/
-     |   5.5871747369848d-12, 3.6148786932841d-08, 2.0927722170372d-06,
-     |   2.9610201923298d-05, 2.0896455105436d-04, 9.6922515886398d-04,
-     |   3.3846901459684d-03, 9.6107338825833d-03, 2.3271452137538d-02,
-     |   4.9585484087746d-02, 9.5003420551163d-02, 1.6620207184411d-01,
-     |   2.6843792218772d-01, 4.0347453734330d-01, 5.6751106776073d-01,
-     |   7.4968363063125d-01, 9.3172752638770d-01, 1.0892418340980d+00,
-     |   1.1946958313430d+00, 1.2219111037952d+00, 1.1513335667671d+00,
-     |   9.7508305987734d-01, 7.0063297311349d-01, 3.5209082364491d-01,
-     |  -3.1571192104190d-02,-4.0140685689267d-01,-7.0591124717334d-01,
-     |  -8.9975492366333d-01,-9.5222661023497d-01,-8.5368429162123d-01,
-     |  -6.1858538541323d-01,-2.8426337655354d-01, 9.4569873490356d-02,
-     |   4.5475562847341d-01, 7.3548684327083d-01, 8.8897776607342d-01,
-     |   8.8897776607342d-01, 7.3548684327083d-01, 4.5475562847341d-01,
-     |   9.4569873490357d-02,-2.8426337655354d-01,-6.1858538541323d-01,
-     |  -8.5368429162123d-01,-9.5222661023497d-01,-8.9975492366333d-01,
-     |  -7.0591124717334d-01,-4.0140685689267d-01,-3.1571192104193d-02,
-     |   3.5209082364491d-01, 7.0063297311349d-01, 9.7508305987734d-01,
-     |   1.1513335667671d+00, 1.2219111037952d+00, 1.1946958313430d+00,
-     |   1.0892418340980d+00, 9.3172752638770d-01, 7.4968363063125d-01,
-     |   5.6751106776072d-01, 4.0347453734330d-01, 2.6843792218772d-01,
-     |   1.6620207184411d-01, 9.5003420551163d-02, 4.9585484087747d-02,
-     |   2.3271452137539d-02, 9.6107338825833d-03, 3.3846901459684d-03,
-     |   9.6922515886400d-04, 2.0896455105436d-04, 2.9610201923298d-05,
-     |   2.0927722170372d-06, 3.6148786932841d-08, 5.5871747369848d-12/
-      data (pmn(lat, 9,12), lat = 1,72)/
-     |   6.2080269744967d-14, 1.2073483223158d-09, 1.1695831219521d-07,
-     |   2.3306855077559d-06, 2.1319475188088d-05, 1.2210889623112d-04,
-     |   5.1034560347572d-04, 1.6974335474137d-03, 4.7415030000807d-03,
-     |   1.1526928636684d-02, 2.4999111404754d-02, 4.9233633393145d-02,
-     |   8.9208252273734d-02, 1.5017723045363d-01, 2.3662485673245d-01,
-     |   3.5088931024491d-01, 4.9167553788644d-01, 6.5278278536743d-01,
-     |   8.2242299930959d-01, 9.8347260213472d-01, 1.1148715037169d+00,
-     |   1.1941722288125d+00, 1.2009849319534d+00, 1.1208148886368d+00,
-     |   9.4860840017402d-01, 6.9126377507250d-01, 3.6845725441029d-01,
-     |   1.1378749939357d-02,-3.4066662420517d-01,-6.4542374204414d-01,
-     |  -8.6387318800357d-01,-9.6642842186571d-01,-9.3805223049724d-01,
-     |  -7.8132654399821d-01,-5.1683165596470d-01,-1.8065286489211d-01,
-     |   1.8065286489211d-01, 5.1683165596470d-01, 7.8132654399821d-01,
-     |   9.3805223049723d-01, 9.6642842186571d-01, 8.6387318800357d-01,
-     |   6.4542374204414d-01, 3.4066662420517d-01,-1.1378749939356d-02,
-     |  -3.6845725441029d-01,-6.9126377507250d-01,-9.4860840017402d-01,
-     |  -1.1208148886368d+00,-1.2009849319534d+00,-1.1941722288125d+00,
-     |  -1.1148715037169d+00,-9.8347260213472d-01,-8.2242299930959d-01,
-     |  -6.5278278536743d-01,-4.9167553788644d-01,-3.5088931024491d-01,
-     |  -2.3662485673245d-01,-1.5017723045363d-01,-8.9208252273734d-02,
-     |  -4.9233633393145d-02,-2.4999111404754d-02,-1.1526928636684d-02,
-     |  -4.7415030000807d-03,-1.6974335474137d-03,-5.1034560347572d-04,
-     |  -1.2210889623113d-04,-2.1319475188088d-05,-2.3306855077559d-06,
-     |  -1.1695831219521d-07,-1.2073483223158d-09,-6.2080269744967d-14/
-      data (pmn(lat,10,12), lat = 1,72)/
-     |   5.5026701062449d-16, 3.2158743406328d-11, 5.2095839119814d-09,
-     |   1.4607769298885d-07, 1.7297513776295d-06, 1.2213921836309d-05,
-     |   6.0967019090017d-05, 2.3692313870029d-04, 7.6109972182420d-04,
-     |   2.1031925701459d-03, 5.1398778331848d-03, 1.1333279026063d-02,
-     |   2.2884862579755d-02, 4.2799494448545d-02, 7.4784933796407d-02,
-     |   1.2292142560481d-01, 1.9106866269605d-01, 2.8203189890619d-01,
-     |   3.9657730628615d-01, 5.3245459542654d-01, 6.8363478009972d-01,
-     |   8.3998564341511d-01, 9.8757500899658d-01, 1.1097095947994d+00,
-     |   1.1886937610310d+00, 1.2081477662902d+00, 1.1555871943023d+00,
-     |   1.0248645862726d+00, 8.1803746528458d-01, 5.4626972174378d-01,
-     |   2.2949633858244d-01,-1.0523156735999d-01,-4.2658440149961d-01,
-     |  -7.0262460806103d-01,-9.0479595902835d-01,-1.0116359463862d+00,
-     |  -1.0116359463862d+00,-9.0479595902835d-01,-7.0262460806103d-01,
-     |  -4.2658440149961d-01,-1.0523156736000d-01, 2.2949633858244d-01,
-     |   5.4626972174378d-01, 8.1803746528458d-01, 1.0248645862726d+00,
-     |   1.1555871943023d+00, 1.2081477662902d+00, 1.1886937610310d+00,
-     |   1.1097095947994d+00, 9.8757500899658d-01, 8.3998564341511d-01,
-     |   6.8363478009973d-01, 5.3245459542654d-01, 3.9657730628615d-01,
-     |   2.8203189890619d-01, 1.9106866269605d-01, 1.2292142560481d-01,
-     |   7.4784933796407d-02, 4.2799494448545d-02, 2.2884862579755d-02,
-     |   1.1333279026063d-02, 5.1398778331848d-03, 2.1031925701459d-03,
-     |   7.6109972182421d-04, 2.3692313870029d-04, 6.0967019090017d-05,
-     |   1.2213921836309d-05, 1.7297513776295d-06, 1.4607769298885d-07,
-     |   5.2095839119814d-09, 3.2158743406328d-11, 5.5026701062449d-16/
-      data (pmn(lat,11,12), lat = 1,72)/
-     |   3.7016504206631d-18, 6.4993436546482d-13, 1.7598711308964d-10,
-     |   6.9388611811041d-09, 1.0626334215516d-07, 9.2390263794912d-07,
-     |   5.4995923760100d-06, 2.4924453943098d-05, 9.1877170450229d-05,
-     |   2.8783078080153d-04, 7.9015365043243d-04, 1.9434130011730d-03,
-     |   4.3540287008088d-03, 8.9989447670522d-03, 1.7328290115606d-02,
-     |   3.1331446610638d-02, 5.3528818957086d-02, 8.6851404491235d-02,
-     |   1.3437971618725d-01, 1.9893366582507d-01, 2.8253409433260d-01,
-     |   3.8579043977731d-01, 5.0730099907724d-01, 6.4317470032136d-01,
-     |   7.8678912943680d-01, 9.2888394660398d-01, 1.0580508217226d+00,
-     |   1.1616243135784d+00, 1.2269109272090d+00, 1.2426274399593d+00,
-     |   1.2003672649207d+00, 1.0958865801765d+00, 9.3000782599812d-01,
-     |   7.0897887182930d-01, 4.4419705667012d-01, 1.5129775716223d-01,
-     |  -1.5129775716222d-01,-4.4419705667012d-01,-7.0897887182930d-01,
-     |  -9.3000782599812d-01,-1.0958865801765d+00,-1.2003672649207d+00,
-     |  -1.2426274399593d+00,-1.2269109272090d+00,-1.1616243135784d+00,
-     |  -1.0580508217226d+00,-9.2888394660398d-01,-7.8678912943680d-01,
-     |  -6.4317470032136d-01,-5.0730099907724d-01,-3.8579043977731d-01,
-     |  -2.8253409433261d-01,-1.9893366582507d-01,-1.3437971618725d-01,
-     |  -8.6851404491235d-02,-5.3528818957086d-02,-3.1331446610638d-02,
-     |  -1.7328290115606d-02,-8.9989447670522d-03,-4.3540287008088d-03,
-     |  -1.9434130011730d-03,-7.9015365043243d-04,-2.8783078080153d-04,
-     |  -9.1877170450230d-05,-2.4924453943098d-05,-5.4995923760100d-06,
-     |  -9.2390263794914d-07,-1.0626334215516d-07,-6.9388611811041d-09,
-     |  -1.7598711308964d-10,-6.4993436546482d-13,-3.7016504206631d-18/
-      data (pmn(lat,12,12), lat = 1,72)/
-     |   1.6487168347386d-20, 8.6954740350917d-15, 3.9342323369211d-12,
-     |   2.1800313438933d-10, 4.3145910318737d-09, 4.6147884037365d-08,
-     |   3.2720794216184d-07, 1.7270356133876d-06, 7.2931674109257d-06,
-     |   2.5852032048844d-05, 7.9539148861662d-05, 2.1763571081677d-04,
-     |   5.3931425563555d-04, 1.2273786152556d-03, 2.5935254527483d-03,
-     |   5.1329352377861d-03, 9.5823047341742d-03, 1.6971316693129d-02,
-     |   2.8653902976979d-02, 4.6303596741719d-02, 7.1857860741335d-02,
-     |   1.0740028046258d-01, 1.5497709285410d-01, 2.1635508082491d-01,
-     |   2.9273999075309d-01, 3.8448626229003d-01, 4.9083761508688d-01,
-     |   6.0974167694895d-01, 7.3777876621972d-01, 8.7023463197312d-01,
-     |   1.0013302033434d+00, 1.1246003171975d+00, 1.2333911352578d+00,
-     |   1.3214262043349d+00, 1.3833773897928d+00, 1.4153719290576d+00,
-     |   1.4153719290576d+00, 1.3833773897928d+00, 1.3214262043349d+00,
-     |   1.2333911352578d+00, 1.1246003171975d+00, 1.0013302033434d+00,
-     |   8.7023463197312d-01, 7.3777876621972d-01, 6.0974167694895d-01,
-     |   4.9083761508688d-01, 3.8448626229003d-01, 2.9273999075309d-01,
-     |   2.1635508082491d-01, 1.5497709285410d-01, 1.0740028046258d-01,
-     |   7.1857860741336d-02, 4.6303596741720d-02, 2.8653902976979d-02,
-     |   1.6971316693129d-02, 9.5823047341743d-03, 5.1329352377861d-03,
-     |   2.5935254527483d-03, 1.2273786152556d-03, 5.3931425563556d-04,
-     |   2.1763571081677d-04, 7.9539148861662d-05, 2.5852032048844d-05,
-     |   7.2931674109258d-06, 1.7270356133877d-06, 3.2720794216184d-07,
-     |   4.6147884037366d-08, 4.3145910318737d-09, 2.1800313438933d-10,
-     |   3.9342323369211d-12, 8.6954740350917d-15, 1.6487168347386d-20/
-      data (pmn(lat, 0,13), lat = 1,72)/
-     |   3.5950921407301d+00, 2.9921273041363d+00, 1.9377384550225d+00,
-     |   6.9280924002589d-01,-4.4453105314936d-01,-1.2199812559606d+00,
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-     |   1.0634875551096d+00, 6.8964137925730d-01, 1.1451928493533d-01,
-     |  -4.6478948003985d-01,-8.6101346812037d-01,-9.5505199130947d-01,
-     |  -7.3043016924450d-01,-2.7405697778467d-01, 2.5572610497262d-01,
-     |   6.8263022074560d-01, 8.6983097525455d-01, 7.6295165395053d-01,
-     |   4.0531100088442d-01,-7.8731858549013d-02,-5.2623546907234d-01,
-     |  -7.8971193951567d-01,-7.8507462897205d-01,-5.1809622181378d-01,
-     |  -8.1141625489730d-02, 3.7834707544616d-01, 7.0701673179122d-01,
-     |   7.9621634261111d-01, 6.1752892049899d-01, 2.3171578523824d-01,
-     |  -2.3171578523824d-01,-6.1752892049899d-01,-7.9621634261111d-01,
-     |  -7.0701673179122d-01,-3.7834707544616d-01, 8.1141625489731d-02,
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-     |   5.2623546907234d-01, 7.8731858549015d-02,-4.0531100088442d-01,
-     |  -7.6295165395053d-01,-8.6983097525455d-01,-6.8263022074560d-01,
-     |  -2.5572610497262d-01, 2.7405697778467d-01, 7.3043016924450d-01,
-     |   9.5505199130947d-01, 8.6101346812037d-01, 4.6478948003985d-01,
-     |  -1.1451928493533d-01,-6.8964137925730d-01,-1.0634875551096d+00,
-     |  -1.0936279380216d+00,-7.4254819212234d-01,-9.7112515461854d-02,
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-     |   1.2199812559606d+00, 4.4453105314936d-01,-6.9280924002589d-01,
-     |  -1.9377384550225d+00,-2.9921273041363d+00,-3.5950921407301d+00/
-      data (pmn(lat, 1,13), lat = 1,72)/
-     |   5.3489192971486d-01, 1.4696095945827d+00, 2.0368244796435d+00,
-     |   2.1061866186511d+00, 1.6841109079089d+00, 9.0890185915336d-01,
-     |   8.2462008789208d-03,-7.6790875270036d-01,-1.2189792478680d+00,
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-     |   3.7075573337732d-01, 8.5761686700042d-01, 1.0387234591627d+00,
-     |   8.7480590604320d-01, 4.3668029142410d-01,-1.2185323347787d-01,
-     |  -6.1577043991595d-01,-8.8839793878604d-01,-8.5999473261501d-01,
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-     |   7.5854699965072d-01, 8.3831458468064d-01, 6.3895749446931d-01,
-     |   2.3164756049511d-01,-2.4567009195449d-01,-6.3433596184170d-01,
-     |  -8.0706934813108d-01,-7.0918269321313d-01,-3.7569908521445d-01,
-     |   8.0942250842675d-02, 5.0836134353963d-01, 7.6454481446959d-01,
-     |   7.6454481446959d-01, 5.0836134353963d-01, 8.0942250842677d-02,
-     |  -3.7569908521445d-01,-7.0918269321313d-01,-8.0706934813108d-01,
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-      data (pmn(lat, 2,13), lat = 1,72)/
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-      data (pmn(lat, 3,13), lat = 1,72)/
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-      data (pmn(lat, 4,13), lat = 1,72)/
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-      data (pmn(lat, 5,13), lat = 1,72)/
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-      data (pmn(lat, 6,13), lat = 1,72)/
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-      data (pmn(lat, 7,13), lat = 1,72)/
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-     |   5.7247628456555d-05, 1.6663860883222d-06, 7.7692461942549d-10/
-      data (pmn(lat, 8,13), lat = 1,72)/
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-      data (pmn(lat, 9,13), lat = 1,72)/
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-     |   5.6328017888596d-01, 8.8715949796580d-01, 1.1113156512832d+00,
-     |   1.2209047426893d+00, 1.2201177591782d+00, 1.1282559371291d+00,
-     |   9.7373332818600d-01, 7.8756034656573d-01, 5.9770509229426d-01,
-     |   4.2528154843482d-01, 2.8292893694719d-01, 1.7518955983478d-01,
-     |   1.0029481750879d-01, 5.2598793268440d-02, 2.4952012497978d-02,
-     |   1.0522059226839d-02, 3.8489134979090d-03, 1.1787750804300d-03,
-     |   2.8646369024357d-04, 5.0657960394461d-05, 5.5942629539075d-06,
-     |   2.8284745645193d-07, 2.9343700334988d-09, 1.5125593910615d-13/
-      data (pmn(lat,10,13), lat = 1,72)/
-     |   1.5829474013225d-15, 9.2302551929024d-11, 1.4885216066637d-08,
-     |   4.1455062387416d-07, 4.8641283837707d-06, 3.3952012581890d-05,
-     |   1.6711813748386d-04, 6.3876774287770d-04, 2.0129007293466d-03,
-     |   5.4410411315706d-03, 1.2968201225268d-02, 2.7798202903806d-02,
-     |   5.4380328522065d-02, 9.8157799515364d-02, 1.6484734390388d-01,
-     |   2.5920947067194d-01, 3.8341347353560d-01, 5.3527028303715d-01,
-     |   7.0675312548402d-01, 8.8329729132938d-01, 1.0443225301447d+00,
-     |   1.1652366821058d+00, 1.2208757754801d+00, 1.1899709041688d+00,
-     |   1.0598913232816d+00, 8.3069091972834d-01, 5.1745992052449d-01,
-     |   1.5019366359458d-01,-2.2918210246341d-01,-5.7242016246436d-01,
-     |  -8.3239406489889d-01,-9.7109708699289d-01,-9.6668430744473d-01,
-     |  -8.1812009883774d-01,-5.4638697715640d-01,-1.9185257622772d-01,
-     |   1.9185257622772d-01, 5.4638697715640d-01, 8.1812009883774d-01,
-     |   9.6668430744472d-01, 9.7109708699289d-01, 8.3239406489889d-01,
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-     |  -1.1899709041688d+00,-1.2208757754801d+00,-1.1652366821058d+00,
-     |  -1.0443225301447d+00,-8.8329729132938d-01,-7.0675312548402d-01,
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-     |  -2.0129007293466d-03,-6.3876774287770d-04,-1.6711813748386d-04,
-     |  -3.3952012581891d-05,-4.8641283837707d-06,-4.1455062387416d-07,
-     |  -1.4885216066637d-08,-9.2302551929024d-11,-1.5829474013225d-15/
-      data (pmn(lat,11,13), lat = 1,72)/
-     |   1.3322506001952d-17, 2.3343361862704d-12, 6.2947323825713d-10,
-     |   2.4664801940304d-08, 3.7457893225542d-07, 3.2226714861704d-06,
-     |   1.8940294038526d-05, 8.4558238026583d-05, 3.0632644860588d-04,
-     |   9.4078624962819d-04, 2.5253507991569d-03, 6.0569078115593d-03,
-     |   1.3194722152894d-02, 2.6435368360180d-02, 4.9180557770982d-02,
-     |   8.5604738255052d-02, 1.4023954752471d-01, 2.1723388827347d-01,
-     |   3.1932091794881d-01, 4.4661574508146d-01, 5.9545956490102d-01,
-     |   7.5759095495263d-01, 9.1993735236371d-01, 1.0652619920580d+00,
-     |   1.1737715908383d+00, 1.2256043898102d+00, 1.2039111129628d+00,
-     |   1.0980588358372d+00, 9.0637694338878d-01, 6.3786200765875d-01,
-     |   3.1238009828585d-01,-4.0861146767888d-02,-3.8649170974808d-01,
-     |  -6.8741088032960d-01,-9.0980730327842d-01,-1.0279522400115d+00,
-     |  -1.0279522400115d+00,-9.0980730327842d-01,-6.8741088032960d-01,
-     |  -3.8649170974808d-01,-4.0861146767889d-02, 3.1238009828585d-01,
-     |   6.3786200765875d-01, 9.0637694338877d-01, 1.0980588358372d+00,
-     |   1.2039111129628d+00, 1.2256043898102d+00, 1.1737715908383d+00,
-     |   1.0652619920580d+00, 9.1993735236371d-01, 7.5759095495263d-01,
-     |   5.9545956490102d-01, 4.4661574508146d-01, 3.1932091794881d-01,
-     |   2.1723388827347d-01, 1.4023954752472d-01, 8.5604738255052d-02,
-     |   4.9180557770981d-02, 2.6435368360180d-02, 1.3194722152894d-02,
-     |   6.0569078115593d-03, 2.5253507991569d-03, 9.4078624962820d-04,
-     |   3.0632644860589d-04, 8.4558238026584d-05, 1.8940294038526d-05,
-     |   3.2226714861705d-06, 3.7457893225542d-07, 2.4664801940304d-08,
-     |   6.2947323825713d-10, 2.3343361862704d-12, 1.3322506001952d-17/
-      data (pmn(lat,12,13), lat = 1,72)/
-     |   8.5649452649914d-20, 4.5086268184571d-14, 2.0321365378654d-11,
-     |   1.1195936956651d-09, 2.1988492605855d-08, 2.3291951311259d-07,
-     |   1.6322982112781d-06, 8.4976944376761d-06, 3.5319751882269d-05,
-     |   1.2295479688310d-04, 3.7067529871700d-04, 9.9146251861095d-04,
-     |   2.3957700399783d-03, 5.3028191507077d-03, 1.0867932617412d-02,
-     |   2.0800699808916d-02, 3.7434943037224d-02, 6.3702062103621d-02,
-     |   1.0295941163504d-01, 1.5863896337272d-01, 2.3371005834326d-01,
-     |   3.2999112738071d-01, 4.4739215092342d-01, 5.8321214792188d-01,
-     |   7.3164241161662d-01, 8.8362611622653d-01, 1.0271921671321d+00,
-     |   1.1483163118468d+00, 1.2322738454347d+00, 1.2653509249201d+00,
-     |   1.2366949957201d+00, 1.1400287644940d+00, 9.7494179532679d-01,
-     |   7.4751610360568d-01, 4.7013337497360d-01, 1.6043731627704d-01,
-     |  -1.6043731627703d-01,-4.7013337497360d-01,-7.4751610360568d-01,
-     |  -9.7494179532679d-01,-1.1400287644940d+00,-1.2366949957201d+00,
-     |  -1.2653509249201d+00,-1.2322738454347d+00,-1.1483163118468d+00,
-     |  -1.0271921671321d+00,-8.8362611622653d-01,-7.3164241161662d-01,
-     |  -5.8321214792188d-01,-4.4739215092342d-01,-3.2999112738071d-01,
-     |  -2.3371005834326d-01,-1.5863896337272d-01,-1.0295941163504d-01,
-     |  -6.3702062103621d-02,-3.7434943037224d-02,-2.0800699808916d-02,
-     |  -1.0867932617412d-02,-5.3028191507077d-03,-2.3957700399784d-03,
-     |  -9.9146251861095d-04,-3.7067529871700d-04,-1.2295479688310d-04,
-     |  -3.5319751882270d-05,-8.4976944376761d-06,-1.6322982112781d-06,
-     |  -2.3291951311259d-07,-2.1988492605855d-08,-1.1195936956651d-09,
-     |  -2.0321365378654d-11,-4.5086268184571d-14,-8.5649452649914d-20/
-      data (pmn(lat,13,13), lat = 1,72)/
-     |   3.6651707257319d-22, 5.7954478000244d-16, 4.3646655219753d-13,
-     |   3.3795115101887d-11, 8.5776944129773d-10, 1.1177647409346d-08,
-     |   9.3306475913103d-08, 5.6571240013872d-07, 2.6936747907562d-06,
-     |   1.0610158542835d-05, 3.5849407443487d-05, 1.0667442289565d-04,
-     |   2.8511146986742d-04, 6.9488466710253d-04, 1.5627902317874d-03,
-     |   3.2740268058007d-03, 6.4384071976198d-03, 1.1959447861268d-02,
-     |   2.1092840348132d-02, 3.5476049462963d-02, 5.7108370896534d-02,
-     |   8.8262284484486d-02, 1.3131341612998d-01, 1.8848797732345d-01,
-     |   2.6154204990263d-01, 3.5140412883097d-01, 4.5782758302138d-01,
-     |   5.7910947179456d-01, 7.1193328022376d-01, 8.5138374998743d-01,
-     |   9.9116218192834d-01, 1.1240026861285d+00, 1.2422581515763d+00,
-     |   1.3385947631670d+00, 1.4067114634941d+00, 1.4419905806501d+00,
-     |   1.4419905806501d+00, 1.4067114634941d+00, 1.3385947631670d+00,
-     |   1.2422581515763d+00, 1.1240026861285d+00, 9.9116218192834d-01,
-     |   8.5138374998743d-01, 7.1193328022376d-01, 5.7910947179456d-01,
-     |   4.5782758302138d-01, 3.5140412883098d-01, 2.6154204990263d-01,
-     |   1.8848797732345d-01, 1.3131341612998d-01, 8.8262284484486d-02,
-     |   5.7108370896535d-02, 3.5476049462963d-02, 2.1092840348132d-02,
-     |   1.1959447861268d-02, 6.4384071976199d-03, 3.2740268058007d-03,
-     |   1.5627902317874d-03, 6.9488466710253d-04, 2.8511146986742d-04,
-     |   1.0667442289565d-04, 3.5849407443487d-05, 1.0610158542835d-05,
-     |   2.6936747907563d-06, 5.6571240013873d-07, 9.3306475913103d-08,
-     |   1.1177647409346d-08, 8.5776944129773d-10, 3.3795115101887d-11,
-     |   4.3646655219753d-13, 5.7954478000244d-16, 3.6651707257319d-22/
-      data (pmn(lat, 0,14), lat = 1,72)/
-     |   3.7133254202773d+00, 2.9983380302646d+00, 1.7748391453846d+00,
-     |   3.8967778071715d-01,-7.7996768514377d-01,-1.4438719244433d+00,
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-     |  -4.6211675217536d-01,-7.8695519959782d-01,-8.0372000377285d-01,
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-     |   7.6291500156830d-01, 7.7113208193673d-01, 4.8230111391689d-01,
-     |   9.4800097201711d-03,-4.6474399535172d-01,-7.5811241614997d-01,
-     |  -7.5811241614997d-01,-4.6474399535172d-01, 9.4800097201696d-03,
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-     |   1.7748391453846d+00, 2.9983380302646d+00, 3.7133254202773d+00/
-      data (pmn(lat, 1,14), lat = 1,72)/
-     |   5.9447118155637d-01, 1.6107986054484d+00, 2.1646904059583d+00,
-     |   2.1139485319876d+00, 1.5068003754670d+00, 5.6145953778409d-01,
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-     |   8.5820010177126d-01, 1.0716081092904d+00, 8.7599767012263d-01,
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-     |   2.3714539371028d-01, 6.8674922487657d-01, 8.6333547819686d-01,
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-     |  -2.4803806060814d-01,-6.4904553537448d-01,-8.0096230500573d-01,
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-     |   2.3398057971092d-01,-2.8703096124399d-01,-7.0779996163995d-01,
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-     |  -5.6145953778408d-01,-1.5068003754670d+00,-2.1139485319876d+00,
-     |  -2.1646904059583d+00,-1.6107986054484d+00,-5.9447118155637d-01/
-      data (pmn(lat, 2,14), lat = 1,72)/
-     |   4.6959492955202d-02, 3.9536458649433d-01, 9.5765045518880d-01,
-     |   1.5130918343779d+00, 1.8341993791600d+00, 1.7689863199309d+00,
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-     |   9.9033417665871d-01, 9.2323845133973d-01, 5.2577274570553d-01,
-     |  -4.5036381663600d-02,-5.7589852131138d-01,-8.7528283609793d-01,
-     |  -8.4167334242796d-01,-4.9778494446839d-01, 2.0890045355902d-02,
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-     |  -7.7553229957684d-01,-7.6826420015365d-01,-4.7085784344291d-01,
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-     |   7.6249900623376d-01, 4.7287232866490d-01, 2.6390475720368d-03,
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-     |   2.0890045355904d-02,-4.9778494446839d-01,-8.4167334242796d-01,
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-     |   9.5765045518880d-01, 3.9536458649433d-01, 4.6959492955202d-02/
-      data (pmn(lat, 3,14), lat = 1,72)/
-     |   2.4439835307482d-03, 6.2811233833066d-02, 2.6306827574711d-01,
-     |   6.1857811746657d-01, 1.0609353569961d+00, 1.4576577515182d+00,
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-     |  -6.3508988002144d-01,-1.7791402299372d-01, 3.3401953498001d-01,
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-     |   2.1342157246808d-01,-2.8316855274593d-01,-6.7109294979474d-01,
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-     |   2.4579848893495d-01, 6.4669786755382d-01, 8.0869581389508d-01,
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-      data (pmn(lat, 4,14), lat = 1,72)/
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-      data (pmn(lat, 5,14), lat = 1,72)/
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-      data (pmn(lat, 6,14), lat = 1,72)/
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-      data (pmn(lat, 7,14), lat = 1,72)/
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-      data (pmn(lat, 8,14), lat = 1,72)/
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-      data (pmn(lat, 9,14), lat = 1,72)/
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-      data (pmn(lat,10,14), lat = 1,72)/
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-      data (pmn(lat,11,14), lat = 1,72)/
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-     |  -8.4331061117289d-04,-2.3724092253590d-04,-5.4014501594559d-05,
-     |  -9.3183029253074d-06,-1.0954866671148d-06,-7.2788185661398d-08,
-     |  -1.8701663846458d-09,-6.9663214500164d-12,-3.9846650805076d-17/
-      data (pmn(lat,12,14), lat = 1,72)/
-     |   3.1996470133273d-19, 1.6808558287326d-13, 7.5448790863976d-11,
-     |   4.1311329953484d-09, 8.0463105203086d-08, 8.4346204220599d-07,
-     |   5.8366099846975d-06, 2.9934969136813d-05, 1.2229046788014d-04,
-     |   4.1740447356847d-04, 1.2306426146084d-03, 3.2104988973878d-03,
-     |   7.5450238290080d-03, 1.6192714906627d-02, 3.2072720762955d-02,
-     |   5.9115582637876d-02, 1.0205890205266d-01, 1.6588791347729d-01,
-     |   2.5487919062022d-01, 3.7130539890611d-01, 5.1398376406430d-01,
-     |   6.7697005878658d-01, 8.4877453147100d-01, 1.0124698608681d+00,
-     |   1.1469523032698d+00, 1.2294092872185d+00, 1.2387730620635d+00,
-     |   1.1596596278366d+00, 9.8607732908812d-01, 7.2410722059702d-01,
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-     |  -6.7103729993819d-01,-9.1377358863572d-01,-1.0434015827254d+00,
-     |  -1.0434015827254d+00,-9.1377358863572d-01,-6.7103729993819d-01,
-     |  -3.4557035604122d-01, 2.3201626266080d-02, 3.9284975041502d-01,
-     |   7.2410722059702d-01, 9.8607732908812d-01, 1.1596596278366d+00,
-     |   1.2387730620635d+00, 1.2294092872185d+00, 1.1469523032698d+00,
-     |   1.0124698608681d+00, 8.4877453147100d-01, 6.7697005878658d-01,
-     |   5.1398376406430d-01, 3.7130539890611d-01, 2.5487919062022d-01,
-     |   1.6588791347729d-01, 1.0205890205266d-01, 5.9115582637876d-02,
-     |   3.2072720762955d-02, 1.6192714906627d-02, 7.5450238290081d-03,
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-     |   1.2229046788014d-04, 2.9934969136814d-05, 5.8366099846975d-06,
-     |   8.4346204220601d-07, 8.0463105203086d-08, 4.1311329953484d-09,
-     |   7.5448790863976d-11, 1.6808558287326d-13, 3.1996470133273d-19/
-      data (pmn(lat,13,14), lat = 1,72)/
-     |   1.9732851402322d-21, 3.1142619724271d-15, 2.3364740703416d-12,
-     |   1.7987414943441d-10, 4.5304726023999d-09, 5.8468453095387d-08,
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-     |  -5.8468453095389d-08,-4.5304726023999d-09,-1.7987414943441d-10,
-     |  -2.3364740703416d-12,-3.1142619724271d-15,-1.9732851402322d-21/
-      data (pmn(lat,14,14), lat = 1,72)/
-     |   8.1370525548698d-24, 3.8574962229643d-17, 4.8357819226684d-14,
-     |   5.2320260449822d-12, 1.7030456092440d-10, 2.7037952113296d-09,
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-     |   2.0855636658253d-03, 4.3202778404716d-03, 8.4164994054865d-03,
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-     |   2.3335965122401d-01, 3.2074335527266d-01, 4.2647231790475d-01,
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-     |   9.7979880449224d-01, 1.1219184026107d+00, 1.2495328062531d+00,
-     |   1.3541915629563d+00, 1.4285457556339d+00, 1.4671652906314d+00,
-     |   1.4671652906314d+00, 1.4285457556339d+00, 1.3541915629563d+00,
-     |   1.2495328062531d+00, 1.1219184026107d+00, 9.7979880449224d-01,
-     |   8.3183870901841d-01, 6.8608387702390d-01, 5.4928815107846d-01,
-     |   4.2647231790475d-01, 3.2074335527266d-01, 2.3335965122401d-01,
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-     |   4.5326275506807d-02, 2.7144419066104d-02, 1.5506404905473d-02,
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-     |   9.4044983956977d-04, 3.9289063836711d-04, 1.5052625376755d-04,
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-     |   9.9357102119816d-07, 1.8506098893095d-07, 2.6572016437454d-08,
-     |   2.7037952113297d-09, 1.7030456092440d-10, 5.2320260449822d-12,
-     |   4.8357819226684d-14, 3.8574962229643d-17, 8.1370525548698d-24/
-      data (pmn(lat, 0,15), lat = 1,72)/
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-     |   7.6990725803985d-02,-1.0845437960659d+00,-1.5833466661907d+00,
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-     |  -1.5887214033109d+00,-2.9881378794694d+00,-3.8253693961263d+00/
-      data (pmn(lat, 1,15), lat = 1,72)/
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-     |   2.0800162722150d+00, 1.2769461032608d+00, 1.8388661725290d-01,
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-     |   2.2745279323678d+00, 1.7508317152550d+00, 6.5588845578685d-01/
-      data (pmn(lat, 2,15), lat = 1,72)/
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-     |   1.6746622084007d+00, 1.9213382839112d+00, 1.6874082266055d+00,
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-      data (pmn(lat, 3,15), lat = 1,72)/
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-     |   3.2551215063882d-01, 7.8892227615660d-02, 3.0919870020657d-03/
-      data (pmn(lat, 4,15), lat = 1,72)/
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-      data (pmn(lat, 6,15), lat = 1,72)/
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-      data (pmn(lat, 7,15), lat = 1,72)/
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-      data (pmn(lat, 8,15), lat = 1,72)/
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-      data (pmn(lat, 9,15), lat = 1,72)/
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-      data (pmn(lat,10,15), lat = 1,72)/
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-      data (pmn(lat,11,15), lat = 1,72)/
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-      data (pmn(lat,12,15), lat = 1,72)/
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-      data (pmn(lat,13,15), lat = 1,72)/
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-      data (pmn(lat,14,15), lat = 1,72)/
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-      data (pmn(lat,15,15), lat = 1,72)/
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-      data (pmn(lat, 0,16), lat = 1,72)/
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-      data (pmn(lat, 1,16), lat = 1,72)/
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-      data (pmn(lat, 2,16), lat = 1,72)/
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-      data (pmn(lat, 3,16), lat = 1,72)/
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-      data (pmn(lat, 4,16), lat = 1,72)/
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-      data (pmn(lat, 5,16), lat = 1,72)/
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-      data (pmn(lat, 6,16), lat = 1,72)/
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-      data (pmn(lat, 7,16), lat = 1,72)/
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-      data (pmn(lat, 8,16), lat = 1,72)/
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-     |   2.8502684775368d-05, 5.0467082302468d-07, 7.8967588077676d-11/
-      data (pmn(lat, 9,16), lat = 1,72)/
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-      data (pmn(lat,10,16), lat = 1,72)/
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-     |   1.8309858230375d-07, 1.1533181953097d-09, 1.9933812123710d-14/
-      data (pmn(lat,11,16), lat = 1,72)/
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-      data (pmn(lat,12,16), lat = 1,72)/
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-     |   6.6604435995729d-06, 6.5035957562785d-07, 3.4013022322701d-08,
-     |   6.2979532951265d-10, 1.4159177846519d-12, 2.7075957478050d-18/
-      data (pmn(lat,13,16), lat = 1,72)/
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-     |   2.1749888797931d-09, 5.3852610516073d-08, 6.8019150132243d-07,
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-     |  -2.8614414127182d-11,-3.8463947279259d-14,-2.4474922520910d-20/
-      data (pmn(lat,14,16), lat = 1,72)/
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-     |   1.1362164324927d-10, 3.6400185818102d-09, 5.6643895442198d-08,
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-     |   1.0627170211991d-12, 8.5444518140702d-16, 1.8094896471353d-22/
-      data (pmn(lat,15,16), lat = 1,72)/
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-     |   4.5936605020799d-12, 1.9028875881020d-10, 3.6452438688402d-09,
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-     |  -3.0559810148080d-14,-1.4701118289422d-17,-1.0363199921862d-24/
-      data (pmn(lat,16,16), lat = 1,72)/
-     |   3.9973776366812d-27, 1.7033534141906d-19, 5.9164393941622d-16,
-     |   1.2498677597794d-13, 6.6911371287443d-12, 1.5768224892403d-10,
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-      data (pmn(lat, 0,17), lat = 1,72)/
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-      data (pmn(lat, 1,17), lat = 1,72)/
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-      data (pmn(lat, 2,17), lat = 1,72)/
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-      data (pmn(lat, 3,17), lat = 1,72)/
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-      data (pmn(lat, 4,17), lat = 1,72)/
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-      data (pmn(lat, 5,17), lat = 1,72)/
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-      data (pmn(lat, 6,17), lat = 1,72)/
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-     |  -3.4347729699797d-03,-1.7364869813246d-04,-2.4788134198135d-07/
-      data (pmn(lat, 7,17), lat = 1,72)/
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-     |   4.2024492991549d-03, 2.1191328573391d-02, 7.2114685229068d-02,
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-     |   7.2114685229068d-02, 2.1191328573391d-02, 4.2024492991549d-03,
-     |   4.4255577519492d-04, 1.3273011111579d-05, 6.2806556565607d-09/
-      data (pmn(lat, 8,17), lat = 1,72)/
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-     |   6.5192506336257d-04, 4.3074304050435d-03, 1.8366113885795d-02,
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-      data (pmn(lat, 9,17), lat = 1,72)/
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-     |   8.6516286847986d-05, 7.4617711913033d-04, 3.9657630670485d-03,
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-     |   4.5348284383477d-06, 4.8179153760521d-08, 2.5130157160452d-12/
-      data (pmn(lat,10,17), lat = 1,72)/
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-     |   9.8905149210870d-06, 1.1105221150467d-04, 7.3305937891871d-04,
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-     |  -3.6692590491819d-07,-2.3249761108582d-09,-4.0303290842448d-14/
-      data (pmn(lat,11,17), lat = 1,72)/
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-     |   9.7640016099882d-07, 1.4244583860797d-05, 1.1648233160802d-04,
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-     |   8.8755610603203d-03, 2.6694574971886d-03, 6.4352269256908d-04,
-     |   1.1648233160803d-04, 1.4244583860797d-05, 9.7640016099882d-07,
-     |   2.5673996727247d-08, 9.7111159478195d-11, 5.5971933486357d-16/
-      data (pmn(lat,12,17), lat = 1,72)/
-     |   6.7133562696917d-18, 3.5019581511669d-12, 1.5498803287443d-09,
-     |   8.3073347817979d-08, 1.5723663583423d-06, 1.5897064535724d-05,
-     |   1.0527411731245d-04, 5.1252875188739d-04, 1.9705910979863d-03,
-     |   6.2731296091251d-03, 1.7082808029149d-02, 4.0731100491619d-02,
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-     |   4.5938714544015d-01, 6.7240770203030d-01, 9.0490396236689d-01,
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-     |  -9.9879352298421d-01,-8.1143301230453d-01,-4.0941221747327d-01,
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-     |  -1.5897064535725d-05,-1.5723663583423d-06,-8.3073347817979d-08,
-     |  -1.5498803287443d-09,-3.5019581511669d-12,-6.7133562696917d-18/
-      data (pmn(lat,13,17), lat = 1,72)/
-     |   6.9008643599671d-20, 1.0820085024633d-13, 8.0120671450644d-11,
-     |   6.0474862585524d-09, 1.4833306635189d-07, 1.8514136022904d-06,
-     |   1.4668516193705d-05, 8.3617542127232d-05, 3.7069819832548d-04,
-     |   1.3456214319897d-03, 4.1450121965131d-03, 1.1116807471626d-02,
-     |   2.6454509213500d-02, 5.6654407601584d-02, 1.1036073767824d-01,
-     |   1.9710981749151d-01, 3.2466238667508d-01, 4.9507935581510d-01,
-     |   7.0037621782358d-01, 9.1925794930830d-01, 1.1167590261787d+00,
-     |   1.2482858690241d+00, 1.2684609849048d+00, 1.1434885407318d+00,
-     |   8.6401205471621d-01, 4.5431498338909d-01,-2.6148693917066d-02,
-     |  -4.9124769168628d-01,-8.4615086546247d-01,-1.0109595008119d+00,
-     |  -9.4362638450966d-01,-6.5505536769560d-01,-2.1086033665982d-01,
-     |   2.8210352015358d-01, 7.0169751214252d-01, 9.4210484312630d-01,
-     |   9.4210484312630d-01, 7.0169751214252d-01, 2.8210352015358d-01,
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-     |  -1.0109595008119d+00,-8.4615086546248d-01,-4.9124769168628d-01,
-     |  -2.6148693917067d-02, 4.5431498338909d-01, 8.6401205471620d-01,
-     |   1.1434885407318d+00, 1.2684609849048d+00, 1.2482858690241d+00,
-     |   1.1167590261787d+00, 9.1925794930831d-01, 7.0037621782358d-01,
-     |   4.9507935581510d-01, 3.2466238667509d-01, 1.9710981749151d-01,
-     |   1.1036073767824d-01, 5.6654407601584d-02, 2.6454509213500d-02,
-     |   1.1116807471626d-02, 4.1450121965131d-03, 1.3456214319897d-03,
-     |   3.7069819832549d-04, 8.3617542127233d-05, 1.4668516193705d-05,
-     |   1.8514136022905d-06, 1.4833306635189d-07, 6.0474862585524d-09,
-     |   8.0120671450644d-11, 1.0820085024633d-13, 6.9008643599671d-20/
-      data (pmn(lat,14,17), lat = 1,72)/
-     |   5.9887505869854d-22, 2.8217998500201d-15, 3.4944462359526d-12,
-     |   3.7118224044500d-10, 1.1787622652075d-08, 1.8141868159905d-07,
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-     |   2.4087383554018d-04, 8.3658078474303d-04, 2.5138283125062d-03,
-     |   6.6724069538924d-03, 1.5891866241082d-02, 3.4376305927921d-02,
-     |   6.8170701471950d-02, 1.2483378030171d-01, 2.1225465639940d-01,
-     |   3.3645771655005d-01, 4.9857140539687d-01, 6.9158299406292d-01,
-     |   8.9791958056492d-01, 1.0890894313126d+00, 1.2284098269325d+00,
-     |   1.2771664361135d+00, 1.2034970366034d+00, 9.9215462541805d-01,
-     |   6.5248290978877d-01, 2.2181405803479d-01,-2.3771733886578d-01,
-     |  -6.4934339254992d-01,-9.3718462255438d-01,-1.0436577263538d+00,
-     |  -9.4429842483688d-01,-6.5578455167638d-01,-2.3450517769051d-01,
-     |   2.3450517769051d-01, 6.5578455167638d-01, 9.4429842483688d-01,
-     |   1.0436577263538d+00, 9.3718462255438d-01, 6.4934339254992d-01,
-     |   2.3771733886579d-01,-2.2181405803479d-01,-6.5248290978877d-01,
-     |  -9.9215462541805d-01,-1.2034970366034d+00,-1.2771664361135d+00,
-     |  -1.2284098269325d+00,-1.0890894313126d+00,-8.9791958056492d-01,
-     |  -6.9158299406292d-01,-4.9857140539687d-01,-3.3645771655005d-01,
-     |  -2.1225465639940d-01,-1.2483378030171d-01,-6.8170701471950d-02,
-     |  -3.4376305927921d-02,-1.5891866241082d-02,-6.6724069538924d-03,
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-     |  -5.8349839753569d-05,-1.1440240631726d-05,-1.7171188457011d-06,
-     |  -1.8141868159906d-07,-1.1787622652075d-08,-3.7118224044500d-10,
-     |  -3.4944462359526d-12,-2.8217998500201d-15,-5.9887505869854d-22/
-      data (pmn(lat,15,17), lat = 1,72)/
-     |   4.2679674209232d-24, 6.0422439248235d-17, 1.2509382801641d-13,
-     |   1.8689175143611d-11, 7.6786841555808d-10, 1.4558694473174d-08,
-     |   1.6442373861410d-07, 1.2784904851990d-06, 7.4890858762825d-06,
-     |   3.5085064443883d-05, 1.3704915911226d-04, 4.6003273148338d-04,
-     |   1.3571265780882d-03, 3.5794452197847d-03, 8.5537276280277d-03,
-     |   1.8714929120379d-02, 3.7802845367851d-02, 7.0964228508273d-02,
-     |   1.2445550487042d-01, 2.0475361852570d-01, 3.1698548292936d-01,
-     |   4.6278713646682d-01, 6.3796883429081d-01, 8.3061556192746d-01,
-     |   1.0203899596714d+00, 1.1797289755589d+00, 1.2772881684767d+00,
-     |   1.2834235335787d+00, 1.1768387323820d+00, 9.5096301085831d-01,
-     |   6.1837019782018d-01, 2.1174764413179d-01,-2.1940474844802d-01,
-     |  -6.1615503676435d-01,-9.2032225898551d-01,-1.0853392392831d+00,
-     |  -1.0853392392831d+00,-9.2032225898551d-01,-6.1615503676436d-01,
-     |  -2.1940474844803d-01, 2.1174764413178d-01, 6.1837019782018d-01,
-     |   9.5096301085831d-01, 1.1768387323820d+00, 1.2834235335787d+00,
-     |   1.2772881684767d+00, 1.1797289755589d+00, 1.0203899596714d+00,
-     |   8.3061556192746d-01, 6.3796883429081d-01, 4.6278713646682d-01,
-     |   3.1698548292936d-01, 2.0475361852570d-01, 1.2445550487042d-01,
-     |   7.0964228508273d-02, 3.7802845367851d-02, 1.8714929120379d-02,
-     |   8.5537276280277d-03, 3.5794452197847d-03, 1.3571265780882d-03,
-     |   4.6003273148338d-04, 1.3704915911226d-04, 3.5085064443883d-05,
-     |   7.4890858762826d-06, 1.2784904851990d-06, 1.6442373861410d-07,
-     |   1.4558694473174d-08, 7.6786841555808d-10, 1.8689175143611d-11,
-     |   1.2509382801641d-13, 6.0422439248235d-17, 4.2679674209232d-24/
-      data (pmn(lat,16,17), lat = 1,72)/
-     |   2.3643177246597d-26, 1.0055598692602d-18, 3.4794086680451d-15,
-     |   7.3082586996937d-13, 3.8824680632650d-11, 9.0612690633542d-10,
-     |   1.2199443093674d-08, 1.1057766889840d-07, 7.4288614756205d-07,
-     |   3.9431466313427d-06, 1.7289662453903d-05, 6.4682318033875d-05,
-     |   2.1150711670440d-04, 6.1578941878849d-04, 1.6194827651737d-03,
-     |   3.8916379511339d-03, 8.6238208229701d-03, 1.7755158720676d-02,
-     |   3.4171171603680d-02, 6.1784659984394d-02, 1.0538239239696d-01,
-     |   1.7012571237180d-01, 2.6064141164552d-01, 3.7973574778623d-01,
-     |   5.2689666066058d-01, 6.9688541327588d-01, 8.7881379739150d-01,
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-     |   1.3419024034320d+00, 1.2858227294498d+00, 1.1339959887149d+00,
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-     |  -1.9537161655937d-01,-5.6815547496653d-01,-8.8968051657797d-01,
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-     |  -7.4288614756206d-07,-1.1057766889840d-07,-1.2199443093674d-08,
-     |  -9.0612690633544d-10,-3.8824680632650d-11,-7.3082586996937d-13,
-     |  -3.4794086680451d-15,-1.0055598692602d-18,-2.3643177246597d-26/
-      data (pmn(lat,17,17), lat = 1,72)/
-     |   8.8475427693204d-29, 1.1303107466487d-20, 6.5350774650166d-17,
-     |   1.9290994326172d-14, 1.3244336905311d-12, 3.8026011420919d-11,
-     |   6.0981696636918d-10, 6.4373812920541d-09, 4.9544676098335d-08,
-     |   2.9755451149841d-07, 1.4622514660608d-06, 6.0857876168237d-06,
-     |   2.2011100658580d-05, 7.0564350814649d-05, 2.0364666248204d-04,
-     |   5.3565347889962d-04, 1.2970245714936d-03, 2.9149386124678d-03,
-     |   6.1217571655738d-03, 1.2082401544364d-02, 2.2518405570914d-02,
-     |   3.9791478237075d-02, 6.6897728825853d-02, 1.0732126694465d-01,
-     |   1.6470823461081d-01, 2.4235216646961d-01, 3.4252662669432d-01,
-     |   4.6575307683894d-01, 6.1013759110220d-01, 7.7093408666872d-01,
-     |   9.4048151901204d-01, 1.1086127109624d+00, 1.2635484525635d+00,
-     |   1.3931884455771d+00, 1.4866144679051d+00, 1.5355562155712d+00,
-     |   1.5355562155712d+00, 1.4866144679051d+00, 1.3931884455771d+00,
-     |   1.2635484525635d+00, 1.1086127109624d+00, 9.4048151901204d-01,
-     |   7.7093408666872d-01, 6.1013759110220d-01, 4.6575307683894d-01,
-     |   3.4252662669432d-01, 2.4235216646961d-01, 1.6470823461081d-01,
-     |   1.0732126694465d-01, 6.6897728825853d-02, 3.9791478237075d-02,
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-     |   2.9149386124678d-03, 1.2970245714936d-03, 5.3565347889962d-04,
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-     |   4.9544676098335d-08, 6.4373812920542d-09, 6.0981696636918d-10,
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-     |   6.5350774650166d-17, 1.1303107466487d-20, 8.8475427693204d-29/
-      data (pmn(lat, 0,18), lat = 1,72)/
-     |   4.1278962044601d+00, 2.8640972866516d+00, 9.1859757904668d-01,
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-     |   1.2903453799692d+00, 7.1833163750274d-01,-4.0673395082487d-01,
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-     |   9.1859757904668d-01, 2.8640972866516d+00, 4.1278962044601d+00/
-      data (pmn(lat, 1,18), lat = 1,72)/
-     |   8.5017151979844d-01, 2.1553313160921d+00, 2.4779904126217d+00,
-     |   1.7307751815620d+00, 3.5580415989908d-01,-9.2426408868302d-01,
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-      data (pmn(lat, 2,18), lat = 1,72)/
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-      data (pmn(lat, 3,18), lat = 1,72)/
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-      data (pmn(lat, 4,18), lat = 1,72)/
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-      data (pmn(lat, 5,18), lat = 1,72)/
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-      data (pmn(lat, 6,18), lat = 1,72)/
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-      data (pmn(lat, 7,18), lat = 1,72)/
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-      data (pmn(lat, 8,18), lat = 1,72)/
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-      data (pmn(lat, 9,18), lat = 1,72)/
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-     |  -7.9891288304504d-06,-8.5468763440989d-08,-4.4733880576074d-12/
-      data (pmn(lat,10,18), lat = 1,72)/
-     |   7.7494735590147d-14, 4.4564970045474d-09, 6.9891286631746d-07,
-     |   1.8660510790439d-05, 2.0683593848062d-04, 1.3430305016187d-03,
-     |   6.0506268718972d-03, 2.0804086560049d-02, 5.7875415034672d-02,
-     |   1.3527604476010d-01, 2.7237801799037d-01, 4.8020911838415d-01,
-     |   7.4853290057425d-01, 1.0354981076428d+00, 1.2675484617343d+00,
-     |   1.3552428571194d+00, 1.2241827811571d+00, 8.5156998463628d-01,
-     |   2.9236377986100d-01,-3.2095887195485d-01,-8.1246942090491d-01,
-     |  -1.0233719961540d+00,-8.7724050794410d-01,-4.2131049321803d-01,
-     |   1.7867666253816d-01, 6.9446892795218d-01, 9.2355582559594d-01,
-     |   7.7393601391689d-01, 3.0745903641667d-01,-2.8070372920529d-01,
-     |  -7.4146458515364d-01,-8.7788269585395d-01,-6.3168356323825d-01,
-     |  -1.1078494290729d-01, 4.5622833201922d-01, 8.1987675859002d-01,
-     |   8.1987675859002d-01, 4.5622833201923d-01,-1.1078494290729d-01,
-     |  -6.3168356323825d-01,-8.7788269585395d-01,-7.4146458515364d-01,
-     |  -2.8070372920530d-01, 3.0745903641666d-01, 7.7393601391689d-01,
-     |   9.2355582559594d-01, 6.9446892795218d-01, 1.7867666253817d-01,
-     |  -4.2131049321803d-01,-8.7724050794410d-01,-1.0233719961540d+00,
-     |  -8.1246942090492d-01,-3.2095887195485d-01, 2.9236377986100d-01,
-     |   8.5156998463628d-01, 1.2241827811571d+00, 1.3552428571194d+00,
-     |   1.2675484617343d+00, 1.0354981076428d+00, 7.4853290057425d-01,
-     |   4.8020911838415d-01, 2.7237801799037d-01, 1.3527604476011d-01,
-     |   5.7875415034673d-02, 2.0804086560049d-02, 6.0506268718972d-03,
-     |   1.3430305016187d-03, 2.0683593848062d-04, 1.8660510790439d-05,
-     |   6.9891286631746d-07, 4.4564970045474d-09, 7.7494735590147d-14/
-      data (pmn(lat,11,18), lat = 1,72)/
-     |   1.1709330463538d-15, 2.0257597766496d-10, 5.3249227252680d-08,
-     |   2.0075477244771d-06, 2.8945519459326d-05, 2.3318543247626d-04,
-     |   1.2648864643417d-03, 5.1332020833636d-03, 1.6631534267934d-02,
-     |   4.4888913276456d-02, 1.0387998519495d-01, 2.1025413613098d-01,
-     |   3.7727077615039d-01, 6.0531333372254d-01, 8.7202115820659d-01,
-     |   1.1272916404869d+00, 1.2986268320522d+00, 1.3094147613545d+00,
-     |   1.1070884261386d+00, 6.9182757089721d-01, 1.3281173834885d-01,
-     |  -4.3917694330776d-01,-8.6609279483159d-01,-1.0155846839917d+00,
-     |  -8.3386906076924d-01,-3.7605549373065d-01, 2.0254943933506d-01,
-     |   6.9605403494856d-01, 9.2278135643156d-01, 7.9669057331987d-01,
-     |   3.6534164692591d-01,-2.0393798955780d-01,-6.8715350079203d-01,
-     |  -8.9219923033625d-01,-7.3694370074932d-01,-2.8391129733614d-01,
-     |   2.8391129733614d-01, 7.3694370074932d-01, 8.9219923033625d-01,
-     |   6.8715350079203d-01, 2.0393798955780d-01,-3.6534164692591d-01,
-     |  -7.9669057331987d-01,-9.2278135643156d-01,-6.9605403494856d-01,
-     |  -2.0254943933506d-01, 3.7605549373065d-01, 8.3386906076924d-01,
-     |   1.0155846839917d+00, 8.6609279483159d-01, 4.3917694330776d-01,
-     |  -1.3281173834884d-01,-6.9182757089721d-01,-1.1070884261386d+00,
-     |  -1.3094147613545d+00,-1.2986268320522d+00,-1.1272916404869d+00,
-     |  -8.7202115820659d-01,-6.0531333372254d-01,-3.7727077615039d-01,
-     |  -2.1025413613098d-01,-1.0387998519495d-01,-4.4888913276456d-02,
-     |  -1.6631534267934d-02,-5.1332020833637d-03,-1.2648864643417d-03,
-     |  -2.3318543247626d-04,-2.8945519459326d-05,-2.0075477244771d-06,
-     |  -5.3249227252680d-08,-2.0257597766496d-10,-1.1709330463538d-15/
-      data (pmn(lat,12,18), lat = 1,72)/
-     |   1.5429377519858d-17, 8.0273599688340d-12, 3.5339146969592d-09,
-     |   1.8790496700062d-07, 3.5183553526061d-06, 3.5088000614388d-05,
-     |   2.2851052925296d-04, 1.0905768301101d-03, 4.0963788085943d-03,
-     |   1.2692280589471d-02, 3.3503553270194d-02, 7.7081127876391d-02,
-     |   1.5709980594985d-01, 2.8692249952428d-01, 4.7321843103757d-01,
-     |   7.0788538592069d-01, 9.6135831604560d-01, 1.1815017872749d+00,
-     |   1.3016425760730d+00, 1.2584354905974d+00, 1.0157906286651d+00,
-     |   5.8677274962189d-01, 4.3489715257414d-02,-4.9276007392976d-01,
-     |  -8.8231775196333d-01,-1.0114799202392d+00,-8.3542495301683d-01,
-     |  -4.0253378502264d-01, 1.5238364642449d-01, 6.4757564130877d-01,
-     |   9.1505590082069d-01, 8.6113719395378d-01, 5.0338422950582d-01,
-     |  -3.1897009584494d-02,-5.5286006206351d-01,-8.7115808397640d-01,
-     |  -8.7115808397640d-01,-5.5286006206351d-01,-3.1897009584496d-02,
-     |   5.0338422950582d-01, 8.6113719395378d-01, 9.1505590082069d-01,
-     |   6.4757564130878d-01, 1.5238364642449d-01,-4.0253378502264d-01,
-     |  -8.3542495301683d-01,-1.0114799202392d+00,-8.8231775196333d-01,
-     |  -4.9276007392976d-01, 4.3489715257414d-02, 5.8677274962189d-01,
-     |   1.0157906286651d+00, 1.2584354905974d+00, 1.3016425760730d+00,
-     |   1.1815017872749d+00, 9.6135831604560d-01, 7.0788538592070d-01,
-     |   4.7321843103757d-01, 2.8692249952428d-01, 1.5709980594985d-01,
-     |   7.7081127876391d-02, 3.3503553270194d-02, 1.2692280589471d-02,
-     |   4.0963788085944d-03, 1.0905768301101d-03, 2.2851052925296d-04,
-     |   3.5088000614389d-05, 3.5183553526061d-06, 1.8790496700062d-07,
-     |   3.5339146969592d-09, 8.0273599688340d-12, 1.5429377519858d-17/
-      data (pmn(lat,13,18), lat = 1,72)/
-     |   1.7661731223114d-19, 2.7624584923130d-13, 2.0355063397987d-10,
-     |   1.5250256063595d-08, 3.7034085545315d-07, 4.5643770662391d-06,
-     |   3.5611222905202d-05, 1.9932954084075d-04, 8.6506152103406d-04,
-     |   3.0640074850382d-03, 9.1771504289700d-03, 2.3840153177325d-02,
-     |   5.4717431479415d-02, 1.1247930662987d-01, 2.0915816092074d-01,
-     |   3.5431101511196d-01, 5.4922034249510d-01, 7.8059425065658d-01,
-     |   1.0164115261165d+00, 1.2070014700812d+00, 1.2935427581263d+00,
-     |   1.2237722628193d+00, 9.7141179449849d-01, 5.5292419215813d-01,
-     |   3.4210165176951d-02,-4.7820149462000d-01,-8.6210311218141d-01,
-     |  -1.0150667759139d+00,-8.8948203607321d-01,-5.1437334721506d-01,
-     |   5.8367501366881d-03, 5.1812789313525d-01, 8.6648487045303d-01,
-     |   9.4186721429055d-01, 7.1927888307721d-01, 2.6822167097841d-01,
-     |  -2.6822167097841d-01,-7.1927888307721d-01,-9.4186721429055d-01,
-     |  -8.6648487045303d-01,-5.1812789313525d-01,-5.8367501366869d-03,
-     |   5.1437334721505d-01, 8.8948203607321d-01, 1.0150667759139d+00,
-     |   8.6210311218141d-01, 4.7820149462000d-01,-3.4210165176948d-02,
-     |  -5.5292419215812d-01,-9.7141179449849d-01,-1.2237722628193d+00,
-     |  -1.2935427581263d+00,-1.2070014700812d+00,-1.0164115261165d+00,
-     |  -7.8059425065658d-01,-5.4922034249510d-01,-3.5431101511196d-01,
-     |  -2.0915816092074d-01,-1.1247930662987d-01,-5.4717431479415d-02,
-     |  -2.3840153177325d-02,-9.1771504289700d-03,-3.0640074850382d-03,
-     |  -8.6506152103407d-04,-1.9932954084075d-04,-3.5611222905202d-05,
-     |  -4.5643770662392d-06,-3.7034085545315d-07,-1.5250256063595d-08,
-     |  -2.0355063397987d-10,-2.7624584923130d-13,-1.7661731223114d-19/
-      data (pmn(lat,14,18), lat = 1,72)/
-     |   1.7411012148560d-21, 8.1850345870618d-15, 1.0089730181888d-11,
-     |   1.0643466805920d-09, 3.3487717119221d-08, 5.0938593416386d-07,
-     |   4.7531187558735d-06, 3.1138017324350d-05, 1.5573377845524d-04,
-     |   6.2858377252603d-04, 2.1280054953025d-03, 6.2122914255542d-03,
-     |   1.5961932239578d-02, 3.6655973076740d-02, 7.6116833706765d-02,
-     |   1.4418027475990d-01, 2.5074732902947d-01, 4.0219176607268d-01,
-     |   5.9656553216488d-01, 8.1891425421788d-01, 1.0387359714543d+00,
-     |   1.2117426832111d+00, 1.2872739970656d+00, 1.2209506584838d+00,
-     |   9.8988671958813d-01, 6.0584117556930d-01, 1.2103472702507d-01,
-     |  -3.7736692570209d-01,-7.8492759199814d-01,-1.0063817718261d+00,
-     |  -9.8367107825045d-01,-7.1663001321794d-01,-2.6861662264817d-01,
-     |   2.4641648272241d-01, 6.9299344241154d-01, 9.5130643075199d-01,
-     |   9.5130643075199d-01, 6.9299344241154d-01, 2.4641648272242d-01,
-     |  -2.6861662264817d-01,-7.1663001321794d-01,-9.8367107825045d-01,
-     |  -1.0063817718261d+00,-7.8492759199814d-01,-3.7736692570209d-01,
-     |   1.2103472702507d-01, 6.0584117556929d-01, 9.8988671958813d-01,
-     |   1.2209506584838d+00, 1.2872739970656d+00, 1.2117426832111d+00,
-     |   1.0387359714543d+00, 8.1891425421788d-01, 5.9656553216489d-01,
-     |   4.0219176607268d-01, 2.5074732902947d-01, 1.4418027475990d-01,
-     |   7.6116833706764d-02, 3.6655973076740d-02, 1.5961932239579d-02,
-     |   6.2122914255542d-03, 2.1280054953025d-03, 6.2858377252603d-04,
-     |   1.5573377845524d-04, 3.1138017324350d-05, 4.7531187558735d-06,
-     |   5.0938593416388d-07, 3.3487717119221d-08, 1.0643466805920d-09,
-     |   1.0089730181888d-11, 8.1850345870618d-15, 1.7411012148560d-21/
-      data (pmn(lat,15,18), lat = 1,72)/
-     |   1.4550167457952d-23, 2.0554832569176d-16, 4.2372516501472d-13,
-     |   6.2896310001692d-11, 2.5618122833027d-09, 4.8042592140258d-08,
-     |   5.3543056153851d-07, 4.0985307965379d-06, 2.3575861238366d-05,
-     |   1.0817694653758d-04, 4.1273119749386d-04, 1.3492412149983d-03,
-     |   3.8643291443684d-03, 9.8618422168458d-03, 2.2719103975783d-02,
-     |   4.7726692121544d-02, 9.2146437089895d-02, 1.6449963839882d-01,
-     |   2.7275717551215d-01, 4.2137442759362d-01, 6.0759191949464d-01,
-     |   8.1799013161940d-01, 1.0267201410461d+00, 1.1968665750647d+00,
-     |   1.2858458835414d+00, 1.2546057054845d+00, 1.0789351547043d+00,
-     |   7.5990926473574d-01, 3.2993288857055d-01,-1.4857298509082d-01,
-     |  -5.9303971419755d-01,-9.1783846083111d-01,-1.0547275059701d+00,
-     |  -9.7119201741984d-01,-6.8120458747117d-01,-2.4471430819941d-01,
-     |   2.4471430819941d-01, 6.8120458747117d-01, 9.7119201741984d-01,
-     |   1.0547275059701d+00, 9.1783846083111d-01, 5.9303971419755d-01,
-     |   1.4857298509082d-01,-3.2993288857055d-01,-7.5990926473574d-01,
-     |  -1.0789351547043d+00,-1.2546057054845d+00,-1.2858458835414d+00,
-     |  -1.1968665750647d+00,-1.0267201410461d+00,-8.1799013161940d-01,
-     |  -6.0759191949464d-01,-4.2137442759363d-01,-2.7275717551215d-01,
-     |  -1.6449963839882d-01,-9.2146437089895d-02,-4.7726692121544d-02,
-     |  -2.2719103975783d-02,-9.8618422168458d-03,-3.8643291443684d-03,
-     |  -1.3492412149983d-03,-4.1273119749386d-04,-1.0817694653758d-04,
-     |  -2.3575861238366d-05,-4.0985307965380d-06,-5.3543056153851d-07,
-     |  -4.8042592140259d-08,-2.5618122833027d-09,-6.2896310001692d-11,
-     |  -4.2372516501472d-13,-2.0554832569176d-16,-1.4550167457952d-23/
-      data (pmn(lat,16,18), lat = 1,72)/
-     |   1.0020460820498d-25, 4.2531774393184d-18, 1.4657317912400d-14,
-     |   3.0599782105309d-12, 1.6123801571913d-10, 3.7246632721774d-09,
-     |   4.9526604058642d-08, 4.4238694411484d-07, 2.9221140177395d-06,
-     |   1.5213285881215d-05, 6.5266615339003d-05, 2.3827553730970d-04,
-     |   7.5824318135310d-04, 2.1420484945168d-03, 5.4490399754580d-03,
-     |   1.2622553018460d-02, 2.6864557324985d-02, 5.2906091292327d-02,
-     |   9.6958179055225d-02, 1.6609281271133d-01, 2.6686005022213d-01,
-     |   4.0312786542028d-01, 5.7342629738726d-01, 7.6841775462153d-01,
-     |   9.6937857498677d-01, 1.1486213285654d+00, 1.2725080923678d+00,
-     |   1.3070930216118d+00, 1.2256091017267d+00, 1.0162175325563d+00,
-     |   6.8795881208882d-01, 2.7292123663302d-01,-1.7663961488661d-01,
-     |  -5.9626631356598d-01,-9.2097026244034d-01,-1.0980606870045d+00,
-     |  -1.0980606870045d+00,-9.2097026244034d-01,-5.9626631356598d-01,
-     |  -1.7663961488661d-01, 2.7292123663302d-01, 6.8795881208882d-01,
-     |   1.0162175325563d+00, 1.2256091017267d+00, 1.3070930216118d+00,
-     |   1.2725080923678d+00, 1.1486213285654d+00, 9.6937857498677d-01,
-     |   7.6841775462153d-01, 5.7342629738726d-01, 4.0312786542028d-01,
-     |   2.6686005022213d-01, 1.6609281271133d-01, 9.6958179055226d-02,
-     |   5.2906091292327d-02, 2.6864557324985d-02, 1.2622553018460d-02,
-     |   5.4490399754580d-03, 2.1420484945168d-03, 7.5824318135311d-04,
-     |   2.3827553730970d-04, 6.5266615339003d-05, 1.5213285881215d-05,
-     |   2.9221140177396d-06, 4.4238694411484d-07, 4.9526604058642d-08,
-     |   3.7246632721775d-09, 1.6123801571913d-10, 3.0599782105309d-12,
-     |   1.4657317912400d-14, 4.2531774393184d-18, 1.0020460820498d-25/
-      data (pmn(lat,17,18), lat = 1,72)/
-     |   5.3804694534415d-28, 6.8606910727553d-20, 3.9515055909727d-16,
-     |   1.1597684756553d-13, 7.9014177023507d-12, 2.2467452656343d-10,
-     |   3.5611818500887d-09, 3.7079001521900d-08, 2.8087781294508d-07,
-     |   1.6566711541379d-06, 7.9772600955272d-06, 3.2455022507605d-05,
-     |   1.1446269559219d-04, 3.5688853304953d-04, 9.9897058265131d-04,
-     |   2.5410608870273d-03, 5.9316344955094d-03, 1.2808148272545d-02,
-     |   2.5750006576744d-02, 4.8458211484222d-02, 8.5735312814398d-02,
-     |   1.4312183663594d-01, 2.2607430496654d-01, 3.3866025719113d-01,
-     |   4.8189354627342d-01, 6.5200901803906d-01, 8.3912600284687d-01,
-     |   1.0268106529182d+00, 1.1929653841539d+00, 1.3122326900633d+00,
-     |   1.3597358032836d+00, 1.3155775124765d+00, 1.1691998373564d+00,
-     |   9.2258519736575d-01, 5.9142236672784d-01, 2.0376027161634d-01,
-     |  -2.0376027161634d-01,-5.9142236672784d-01,-9.2258519736575d-01,
-     |  -1.1691998373564d+00,-1.3155775124765d+00,-1.3597358032836d+00,
-     |  -1.3122326900633d+00,-1.1929653841539d+00,-1.0268106529182d+00,
-     |  -8.3912600284687d-01,-6.5200901803906d-01,-4.8189354627342d-01,
-     |  -3.3866025719113d-01,-2.2607430496654d-01,-1.4312183663594d-01,
-     |  -8.5735312814399d-02,-4.8458211484222d-02,-2.5750006576744d-02,
-     |  -1.2808148272545d-02,-5.9316344955094d-03,-2.5410608870273d-03,
-     |  -9.9897058265131d-04,-3.5688853304953d-04,-1.1446269559219d-04,
-     |  -3.2455022507605d-05,-7.9772600955272d-06,-1.6566711541380d-06,
-     |  -2.8087781294509d-07,-3.7079001521900d-08,-3.5611818500887d-09,
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-     |  -3.9515055909727d-16,-6.8606910727553d-20,-5.3804694534415d-28/
-      data (pmn(lat,18,18), lat = 1,72)/
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-      data (pmn(lat, 0,19), lat = 1,72)/
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-      data (pmn(lat, 1,19), lat = 1,72)/
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-      data (pmn(lat, 2,19), lat = 1,72)/
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-      data (pmn(lat, 3,19), lat = 1,72)/
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-      data (pmn(lat, 4,19), lat = 1,72)/
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-      data (pmn(lat, 5,19), lat = 1,72)/
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-      data (pmn(lat, 6,19), lat = 1,72)/
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-     |  -6.8865845518621d-03,-3.5541431111147d-04,-5.1251757071303d-07/
-      data (pmn(lat, 7,19), lat = 1,72)/
-     |   1.4695849803053d-08, 3.0783231907908d-05, 1.0081383785836d-03,
-     |   9.3131407762037d-03, 4.5213143858690d-02, 1.4640366405259d-01,
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-     |  -8.3759028978877d-01,-3.7614834461457d-01, 2.8989554352702d-01,
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-     |  -8.2499569805348d-01,-3.3773637019805d-01, 3.5682620683080d-01,
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-     |   1.0772762077372d+00, 6.8239504765220d-01, 3.5455434923477d-01,
-     |   1.4640366405259d-01, 4.5213143858690d-02, 9.3131407762037d-03,
-     |   1.0081383785836d-03, 3.0783231907908d-05, 1.4695849803053d-08/
-      data (pmn(lat, 8,19), lat = 1,72)/
-     |   3.6093150576980d-10, 2.2803576362287d-06, 1.2584027753734d-04,
-     |   1.6553751678732d-03, 1.0580460199150d-02, 4.3216269694194d-02,
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-     |  -1.5555086478614d-01,-7.4255493054639d-01,-9.5368686196986d-01,
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-     |  -5.7974140271397d-01,-3.0195813732325d-01,-1.2888468127054d-01,
-     |  -4.3216269694195d-02,-1.0580460199150d-02,-1.6553751678732d-03,
-     |  -1.2584027753734d-04,-2.2803576362287d-06,-3.6093150576980d-10/
-      data (pmn(lat, 9,19), lat = 1,72)/
-     |   7.6815805092106d-12, 1.4623277788429d-07, 1.3569236510262d-05,
-     |   2.5332231880791d-04, 2.1212882106911d-03, 1.0854694957488d-02,
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-     |   4.8827785558685d-01, 8.0127134227907d-01, 1.1321598920186d+00,
-     |   1.3726577742513d+00, 1.3990171387128d+00, 1.1282328434537d+00,
-     |   5.7495388336699d-01,-1.2400383836598d-01,-7.4187698158403d-01,
-     |  -1.0487355934745d+00,-9.1856656843434d-01,-4.0328393437912d-01,
-     |   2.7153856599937d-01, 7.9873852005996d-01, 9.3220730893555d-01,
-     |   6.1060481819163d-01,-4.6334515783277d-03,-6.0357732702173d-01,
-     |  -8.8229611206201d-01,-6.9989271663236d-01,-1.5455753940071d-01,
-     |   4.6500197919858d-01, 8.3046338762763d-01, 7.4838550069350d-01,
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-     |  -7.8730457235419d-01,-3.5972681976480d-01, 2.6451026191585d-01,
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-     |  -1.5455753940071d-01,-6.9989271663236d-01,-8.8229611206201d-01,
-     |  -6.0357732702173d-01,-4.6334515783306d-03, 6.1060481819163d-01,
-     |   9.3220730893555d-01, 7.9873852005996d-01, 2.7153856599937d-01,
-     |  -4.0328393437911d-01,-9.1856656843434d-01,-1.0487355934745d+00,
-     |  -7.4187698158403d-01,-1.2400383836598d-01, 5.7495388336699d-01,
-     |   1.1282328434537d+00, 1.3990171387128d+00, 1.3726577742513d+00,
-     |   1.1321598920186d+00, 8.0127134227907d-01, 4.8827785558685d-01,
-     |   2.5423857956037d-01, 1.1108472141058d-01, 3.9484756481807d-02,
-     |   1.0854694957489d-02, 2.1212882106911d-03, 2.5332231880791d-04,
-     |   1.3569236510262d-05, 1.4623277788429d-07, 7.6815805092106d-12/
-      data (pmn(lat,10,19), lat = 1,72)/
-     |   1.4275877492233d-13, 8.1826093285991d-09, 1.2747814803320d-06,
-     |   3.3694185812720d-05, 3.6839407421154d-04, 2.3505327549605d-03,
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-     |   2.1069172749949d-01, 4.0573417781869d-01, 6.7800742544873d-01,
-     |   9.8990029973214d-01, 1.2612192013952d+00, 1.3847475547939d+00,
-     |   1.2648674349142d+00, 8.6740864260421d-01, 2.5720584953704d-01,
-     |  -4.0150208498906d-01,-8.9348200536444d-01,-1.0374698184155d+00,
-     |  -7.7239018279207d-01,-2.0113383852370d-01, 4.3761321220217d-01,
-     |   8.6603226426234d-01, 8.9253299036948d-01, 5.0604021827679d-01,
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-     |  -6.6829012250013d-01,-1.2202250788436d-01, 4.8029816840421d-01,
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-     |  -3.0770975225640d-01,-7.6679186078850d-01,-8.3624848587039d-01,
-     |  -4.8029816840421d-01, 1.2202250788436d-01, 6.6829012250014d-01,
-     |   8.8511317832257d-01, 6.6367233262689d-01, 1.1098999955858d-01,
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-     |  -2.5720584953704d-01,-8.6740864260421d-01,-1.2648674349142d+00,
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-     |  -6.7800742544873d-01,-4.0573417781869d-01,-2.1069172749950d-01,
-     |  -9.3573617389098d-02,-3.4708641021219d-02,-1.0362801406095d-02,
-     |  -2.3505327549606d-03,-3.6839407421154d-04,-3.3694185812720d-05,
-     |  -1.2747814803320d-06,-8.1826093285991d-09,-1.4275877492233d-13/
-      data (pmn(lat,11,19), lat = 1,72)/
-     |   2.3271021836561d-15, 4.0138298619061d-10, 1.0486823181427d-07,
-     |   3.9173826833224d-06, 5.5782805429088d-05, 4.4231008008225d-04,
-     |   2.3528971770307d-03, 9.3272614851988d-03, 2.9391775789210d-02,
-     |   7.6778241346507d-02, 1.7099844637462d-01, 3.3087911706292d-01,
-     |   5.6297264719606d-01, 8.4754315345291d-01, 1.1294060058801d+00,
-     |   1.3223684815950d+00, 1.3323965336534d+00, 1.0958908679562d+00,
-     |   6.1906226479263d-01,-1.7422920393963d-03,-5.9552493859874d-01,
-     |  -9.7074289432150d-01,-9.9137135066662d-01,-6.4289933972866d-01,
-     |  -5.4516284666627d-02, 5.4053376422584d-01, 8.9654952759295d-01,
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-     |  -1.6265932008672d-01, 4.3398437028257d-01, 8.2411545640597d-01,
-     |   8.2411545640597d-01, 4.3398437028257d-01,-1.6265932008672d-01,
-     |  -6.8562976609747d-01,-8.9021454436305d-01,-6.8095846844321d-01,
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-     |   8.9654952759295d-01, 5.4053376422585d-01,-5.4516284666623d-02,
-     |  -6.4289933972866d-01,-9.9137135066662d-01,-9.7074289432150d-01,
-     |  -5.9552493859875d-01,-1.7422920393983d-03, 6.1906226479263d-01,
-     |   1.0958908679562d+00, 1.3323965336534d+00, 1.3223684815950d+00,
-     |   1.1294060058800d+00, 8.4754315345291d-01, 5.6297264719606d-01,
-     |   3.3087911706292d-01, 1.7099844637462d-01, 7.6778241346508d-02,
-     |   2.9391775789210d-02, 9.3272614851988d-03, 2.3528971770307d-03,
-     |   4.4231008008226d-04, 5.5782805429088d-05, 3.9173826833224d-06,
-     |   1.0486823181427d-07, 4.0138298619061d-10, 2.3271021836561d-15/
-      data (pmn(lat,12,19), lat = 1,72)/
-     |   3.3324265528534d-17, 1.7289163586616d-11, 7.5687366618614d-09,
-     |   3.9904701743152d-07, 7.3868278194233d-06, 7.2605461139064d-05,
-     |   4.6451163891150d-04, 2.1702930738532d-03, 7.9506360866633d-03,
-     |   2.3926940427960d-02, 6.1062879902670d-02, 1.3510825703115d-01,
-     |   2.6319397697070d-01, 4.5603771322451d-01, 7.0695988800071d-01,
-     |   9.8197265150887d-01, 1.2174090547290d+00, 1.3308909989655d+00,
-     |   1.2468277304133d+00, 9.3013575969438d-01, 4.1479919080378d-01,
-     |  -1.8843347075308d-01,-7.1552654378297d-01,-1.0016105395032d+00,
-     |  -9.4541134025572d-01,-5.5889295066496d-01, 2.3096107377756d-02,
-     |   5.8402344902888d-01, 9.0642359254590d-01, 8.6089946596614d-01,
-     |   4.6452066544050d-01,-1.2005376692489d-01,-6.4857260182550d-01,
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-     |  -2.3096107377757d-02, 5.5889295066496d-01, 9.4541134025571d-01,
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-     |  -1.3510825703115d-01,-6.1062879902670d-02,-2.3926940427960d-02,
-     |  -7.9506360866634d-03,-2.1702930738532d-03,-4.6451163891150d-04,
-     |  -7.2605461139066d-05,-7.3868278194233d-06,-3.9904701743152d-07,
-     |  -7.5687366618614d-09,-1.7289163586616d-11,-3.3324265528534d-17/
-      data (pmn(lat,13,19), lat = 1,72)/
-     |   4.1862367490321d-19, 6.5307370372204d-13, 4.7871972907916d-10,
-     |   3.5585719940702d-08, 8.5508168879386d-07, 1.0398507186670d-05,
-     |   7.9814353589166d-05, 4.3814759273653d-04, 1.8587013613571d-03,
-     |   6.4122421109773d-03, 1.8632938373753d-02, 4.6756448843140d-02,
-     |   1.0315107304555d-01, 2.0265652552300d-01, 3.5774357352700d-01,
-     |   5.7057748977373d-01, 8.2409561199528d-01, 1.0762809557464d+00,
-     |   1.2626000405577d+00, 1.3098747201660d+00, 1.1604625600797d+00,
-     |   7.9986686771582d-01, 2.7646454369281d-01,-2.9817159272540d-01,
-     |  -7.7436050585588d-01,-1.0107223031107d+00,-9.2706078576373d-01,
-     |  -5.4265847411126d-01, 1.8705406873952d-02, 5.6424552273810d-01,
-     |   8.9878380772431d-01, 8.9839788748917d-01, 5.6134959584929d-01,
-     |   1.3544108452868d-02,-5.3655665005716d-01,-8.7749651313091d-01,
-     |  -8.7749651313091d-01,-5.3655665005716d-01, 1.3544108452867d-02,
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-     |  -9.2706078576373d-01,-1.0107223031107d+00,-7.7436050585588d-01,
-     |  -2.9817159272540d-01, 2.7646454369281d-01, 7.9986686771582d-01,
-     |   1.1604625600797d+00, 1.3098747201660d+00, 1.2626000405577d+00,
-     |   1.0762809557464d+00, 8.2409561199528d-01, 5.7057748977374d-01,
-     |   3.5774357352700d-01, 2.0265652552300d-01, 1.0315107304555d-01,
-     |   4.6756448843140d-02, 1.8632938373753d-02, 6.4122421109773d-03,
-     |   1.8587013613572d-03, 4.3814759273653d-04, 7.9814353589166d-05,
-     |   1.0398507186670d-05, 8.5508168879386d-07, 3.5585719940702d-08,
-     |   4.7871972907916d-10, 6.5307370372204d-13, 4.1862367490321d-19/
-      data (pmn(lat,14,19), lat = 1,72)/
-     |   4.5908858350113d-21, 2.1530004856824d-14, 2.6411799016772d-11,
-     |   2.7658264042113d-09, 8.6169974428751d-08, 1.2945502804855d-06,
-     |   1.1898239495552d-05, 7.6560263215712d-05, 3.7498333169690d-04,
-     |   1.4775160448357d-03, 4.8662986044873d-03, 1.3769520604031d-02,
-     |   3.4151460116972d-02, 7.5357392847303d-02, 1.4956817063956d-01,
-     |   2.6914631643963d-01, 4.4144731069119d-01, 6.6183109927182d-01,
-     |   9.0715360222458d-01, 1.1332303465975d+00, 1.2797348579062d+00,
-     |   1.2840984565225d+00, 1.1023856422965d+00, 7.3102438068901d-01,
-     |   2.2059697254191d-01,-3.2651805910309d-01,-7.7828922247826d-01,
-     |  -1.0111114634076d+00,-9.5236871867276d-01,-6.1179626378990d-01,
-     |  -8.7703863759773d-02, 4.5788861813137d-01, 8.4948723851758d-01,
-     |   9.5728508529298d-01, 7.4374401128124d-01, 2.7939992395798d-01,
-     |  -2.7939992395798d-01,-7.4374401128124d-01,-9.5728508529298d-01,
-     |  -8.4948723851758d-01,-4.5788861813138d-01, 8.7703863759775d-02,
-     |   6.1179626378990d-01, 9.5236871867275d-01, 1.0111114634076d+00,
-     |   7.7828922247826d-01, 3.2651805910309d-01,-2.2059697254191d-01,
-     |  -7.3102438068900d-01,-1.1023856422965d+00,-1.2840984565225d+00,
-     |  -1.2797348579062d+00,-1.1332303465975d+00,-9.0715360222459d-01,
-     |  -6.6183109927182d-01,-4.4144731069120d-01,-2.6914631643963d-01,
-     |  -1.4956817063956d-01,-7.5357392847303d-02,-3.4151460116972d-02,
-     |  -1.3769520604031d-02,-4.8662986044873d-03,-1.4775160448357d-03,
-     |  -3.7498333169691d-04,-7.6560263215712d-05,-1.1898239495552d-05,
-     |  -1.2945502804856d-06,-8.6169974428751d-08,-2.7658264042113d-09,
-     |  -2.6411799016772d-11,-2.1530004856824d-14,-4.5908858350113d-21/
-      data (pmn(lat,15,19), lat = 1,72)/
-     |   4.3539771673115d-23, 6.1368993376899d-16, 1.2593520834249d-12,
-     |   1.8565849093563d-10, 7.4927989832283d-09, 1.3889456645923d-07,
-     |   1.5263205892588d-06, 1.1490380262031d-05, 6.4828373998897d-05,
-     |   2.9092927451799d-04, 1.0823320802850d-03, 3.4388453878309d-03,
-     |   9.5388930414069d-03, 2.3485890802795d-02, 5.1976343486311d-02,
-     |   1.0438739647078d-01, 1.9162037273064d-01, 3.2315322254886d-01,
-     |   5.0229617623728d-01, 7.2058557739692d-01, 9.5330120903725d-01,
-     |   1.1587302388094d+00, 1.2834648347794d+00, 1.2744156973318d+00,
-     |   1.0956002965500d+00, 7.4499440330471d-01, 2.6507451629834d-01,
-     |  -2.5875184071930d-01,-7.1444366337520d-01,-9.9189005400203d-01,
-     |  -1.0160688651622d+00,-7.7397098219842d-01,-3.2503427198050d-01,
-     |   2.1052659709885d-01, 6.8374567706420d-01, 9.6010005748116d-01,
-     |   9.6010005748116d-01, 6.8374567706420d-01, 2.1052659709885d-01,
-     |  -3.2503427198050d-01,-7.7397098219842d-01,-1.0160688651622d+00,
-     |  -9.9189005400203d-01,-7.1444366337520d-01,-2.5875184071930d-01,
-     |   2.6507451629834d-01, 7.4499440330471d-01, 1.0956002965500d+00,
-     |   1.2744156973318d+00, 1.2834648347794d+00, 1.1587302388094d+00,
-     |   9.5330120903725d-01, 7.2058557739692d-01, 5.0229617623728d-01,
-     |   3.2315322254886d-01, 1.9162037273064d-01, 1.0438739647078d-01,
-     |   5.1976343486311d-02, 2.3485890802795d-02, 9.5388930414070d-03,
-     |   3.4388453878309d-03, 1.0823320802850d-03, 2.9092927451800d-04,
-     |   6.4828373998898d-05, 1.1490380262032d-05, 1.5263205892588d-06,
-     |   1.3889456645923d-07, 7.4927989832283d-09, 1.8565849093563d-10,
-     |   1.2593520834249d-12, 6.1368993376899d-16, 4.3539771673115d-23/
-      data (pmn(lat,16,19), lat = 1,72)/
-     |   3.5129907352088d-25, 1.4879135815981d-17, 5.1057990123313d-14,
-     |   1.0590902124752d-11, 5.5326484631698d-10, 1.2642383871741d-08,
-     |   1.6590363423996d-07, 1.4590199910135d-06, 9.4650633257488d-06,
-     |   4.8271817739937d-05, 2.0231295966399d-04, 7.1948315774247d-04,
-     |   2.2234077138046d-03, 6.0794812393741d-03, 1.4914715012223d-02,
-     |   3.3187634337242d-02, 6.7550306199695d-02, 1.2659447416120d-01,
-     |   2.1952742817483d-01, 3.5349267415633d-01, 5.2969638561507d-01,
-     |   7.3916256264809d-01, 9.5960194152568d-01, 1.1552110161269d+00,
-     |   1.2808967329156d+00, 1.2913105185295d+00, 1.1533581190454d+00,
-     |   8.5906447432306d-01, 4.3455639070241d-01,-5.8859942187159d-02,
-     |  -5.3374834670629d-01,-8.9490926086646d-01,-1.0629323587045d+00,
-     |  -9.9641811189154d-01,-7.0593906943823d-01,-2.5476715068937d-01,
-     |   2.5476715068937d-01, 7.0593906943823d-01, 9.9641811189154d-01,
-     |   1.0629323587045d+00, 8.9490926086646d-01, 5.3374834670629d-01,
-     |   5.8859942187161d-02,-4.3455639070241d-01,-8.5906447432306d-01,
-     |  -1.1533581190454d+00,-1.2913105185295d+00,-1.2808967329156d+00,
-     |  -1.1552110161269d+00,-9.5960194152568d-01,-7.3916256264809d-01,
-     |  -5.2969638561508d-01,-3.5349267415633d-01,-2.1952742817483d-01,
-     |  -1.2659447416120d-01,-6.7550306199695d-02,-3.3187634337242d-02,
-     |  -1.4914715012223d-02,-6.0794812393741d-03,-2.2234077138046d-03,
-     |  -7.1948315774247d-04,-2.0231295966399d-04,-4.8271817739938d-05,
-     |  -9.4650633257489d-06,-1.4590199910135d-06,-1.6590363423996d-07,
-     |  -1.2642383871741d-08,-5.5326484631698d-10,-1.0590902124752d-11,
-     |  -5.1057990123313d-14,-1.4879135815981d-17,-3.5129907352088d-25/
-      data (pmn(lat,17,19), lat = 1,72)/
-     |   2.3430349010626d-27, 2.9816239976911d-19, 1.7103956178791d-15,
-     |   4.9896368376024d-13, 3.3718564458648d-11, 9.4900998631572d-10,
-     |   1.4856945298607d-08, 1.5244786129634d-07, 1.1354722032567d-06,
-     |   6.5694794609674d-06, 3.0953410539636d-05, 1.2290445665689d-04,
-     |   4.2187906575975d-04, 1.2765181241293d-03, 3.4566883826989d-03,
-     |   8.4775804482717d-03, 1.9010291706504d-02, 3.9274590849465d-02,
-     |   7.5210352177087d-02, 1.3414431642353d-01, 2.2366832547271d-01,
-     |   3.4958214119688d-01, 5.1305037141057d-01, 7.0753180550375d-01,
-     |   9.1643297392761d-01, 1.1126339673189d+00, 1.2608624559965d+00,
-     |   1.3232766147019d+00, 1.2676491099294d+00, 1.0764893910888d+00,
-     |   7.5467883159956d-01, 3.3308063832459d-01,-1.3369244358836d-01,
-     |  -5.7571456718692d-01,-9.2095239822264d-01,-1.1102394030370d+00,
-     |  -1.1102394030370d+00,-9.2095239822264d-01,-5.7571456718692d-01,
-     |  -1.3369244358836d-01, 3.3308063832459d-01, 7.5467883159956d-01,
-     |   1.0764893910888d+00, 1.2676491099294d+00, 1.3232766147019d+00,
-     |   1.2608624559965d+00, 1.1126339673189d+00, 9.1643297392762d-01,
-     |   7.0753180550375d-01, 5.1305037141057d-01, 3.4958214119688d-01,
-     |   2.2366832547271d-01, 1.3414431642353d-01, 7.5210352177087d-02,
-     |   3.9274590849465d-02, 1.9010291706504d-02, 8.4775804482718d-03,
-     |   3.4566883826989d-03, 1.2765181241293d-03, 4.2187906575975d-04,
-     |   1.2290445665689d-04, 3.0953410539636d-05, 6.5694794609675d-06,
-     |   1.1354722032567d-06, 1.5244786129634d-07, 1.4856945298607d-08,
-     |   9.4900998631575d-10, 3.3718564458648d-11, 4.9896368376024d-13,
-     |   1.7103956178791d-15, 2.9816239976911d-19, 2.3430349010626d-27/
-      data (pmn(lat,18,19), lat = 1,72)/
-     |   1.2216706824050d-29, 4.6703286729712d-21, 4.4775393377825d-17,
-     |   1.8363198842155d-14, 1.6044337897547d-12, 5.5582527765221d-11,
-     |   1.0372129886961d-09, 1.2405328836055d-08, 1.0595763570424d-07,
-     |   6.9446336955593d-07, 3.6723210288614d-06, 1.6247924917465d-05,
-     |   6.1804856630100d-05, 2.0637287567983d-04, 6.1482103543987d-04,
-     |   1.6554549336935d-03, 4.0706961771777d-03, 9.2186597009884d-03,
-     |   1.9360406370182d-02, 3.7920473411794d-02, 6.9593883116115d-02,
-     |   1.2013277091423d-01, 1.9564945351095d-01, 3.0134683493392d-01,
-     |   4.3974045723293d-01, 6.0864699265036d-01, 7.9942392450682d-01,
-     |   9.9607261022115d-01, 1.1757820625296d+00, 1.3112505755330d+00,
-     |   1.3746995330256d+00, 1.3429858406172d+00, 1.2027784099050d+00,
-     |   9.5454967495164d-01, 6.1425392934610d-01, 2.1202994533727d-01,
-     |  -2.1202994533727d-01,-6.1425392934610d-01,-9.5454967495164d-01,
-     |  -1.2027784099050d+00,-1.3429858406172d+00,-1.3746995330256d+00,
-     |  -1.3112505755330d+00,-1.1757820625296d+00,-9.9607261022115d-01,
-     |  -7.9942392450681d-01,-6.0864699265036d-01,-4.3974045723293d-01,
-     |  -3.0134683493392d-01,-1.9564945351095d-01,-1.2013277091423d-01,
-     |  -6.9593883116116d-02,-3.7920473411795d-02,-1.9360406370183d-02,
-     |  -9.2186597009884d-03,-4.0706961771777d-03,-1.6554549336935d-03,
-     |  -6.1482103543987d-04,-2.0637287567983d-04,-6.1804856630101d-05,
-     |  -1.6247924917465d-05,-3.6723210288614d-06,-6.9446336955594d-07,
-     |  -1.0595763570424d-07,-1.2405328836055d-08,-1.0372129886961d-09,
-     |  -5.5582527765223d-11,-1.6044337897547d-12,-1.8363198842155d-14,
-     |  -4.4775393377825d-17,-4.6703286729712d-21,-1.2216706824050d-29/
-      data (pmn(lat,19,19), lat = 1,72)/
-     |   4.3243281690587d-32, 4.9657520335980d-23, 7.9548568568462d-19,
-     |   4.5849721095876d-16, 5.1771623915966d-14, 2.2063667379144d-12,
-     |   4.9042782737946d-11, 6.8312116998813d-10, 6.6842802873008d-09,
-     |   4.9570193659294d-08, 2.9378109864609d-07, 1.4460282598034d-06,
-     |   6.0839696441007d-06, 2.2369352043654d-05, 7.3130298247214d-05,
-     |   2.1553436413704d-04, 5.7911501947469d-04, 1.4315954123398d-03,
-     |   3.2807894358751d-03, 7.0144563125674d-03, 1.4066573269594d-02,
-     |   2.6578426803011d-02, 4.7500070476417d-02, 8.0559841416440d-02,
-     |   1.3002712200149d-01, 2.0021595031166d-01, 2.9472859401019d-01,
-     |   4.1551337510684d-01, 5.6189319221470d-01, 7.2978500792133d-01,
-     |   9.1134912397657d-01, 1.0952615691692d+00, 1.2676917556466d+00,
-     |   1.4139106911525d+00, 1.5202911331458d+00, 1.5763371538136d+00,
-     |   1.5763371538136d+00, 1.5202911331458d+00, 1.4139106911525d+00,
-     |   1.2676917556466d+00, 1.0952615691692d+00, 9.1134912397657d-01,
-     |   7.2978500792133d-01, 5.6189319221470d-01, 4.1551337510684d-01,
-     |   2.9472859401019d-01, 2.0021595031166d-01, 1.3002712200149d-01,
-     |   8.0559841416440d-02, 4.7500070476417d-02, 2.6578426803011d-02,
-     |   1.4066573269594d-02, 7.0144563125674d-03, 3.2807894358751d-03,
-     |   1.4315954123398d-03, 5.7911501947469d-04, 2.1553436413704d-04,
-     |   7.3130298247213d-05, 2.2369352043653d-05, 6.0839696441008d-06,
-     |   1.4460282598034d-06, 2.9378109864609d-07, 4.9570193659295d-08,
-     |   6.6842802873009d-09, 6.8312116998814d-10, 4.9042782737946d-11,
-     |   2.2063667379144d-12, 5.1771623915966d-14, 4.5849721095876d-16,
-     |   7.9548568568462d-19, 4.9657520335980d-23, 4.3243281690587d-32/
-      data (pmn(lat, 0,20), lat = 1,72)/
-     |   4.3042223297031d+00, 2.7087535299135d+00, 4.0884311078778d-01,
-     |  -1.3664131790450d+00,-1.7957332810195d+00,-9.2524618392833d-01,
-     |   4.3877977988316d-01, 1.3062790910369d+00, 1.1495529472358d+00,
-     |   1.9461964288617d-01,-8.0870674037752d-01,-1.1472830105664d+00,
-     |  -6.3422431729849d-01, 3.0127140150287d-01, 9.5925635887795d-01,
-     |   8.8223082277797d-01, 1.6672417688556d-01,-6.3571800180829d-01,
-     |  -9.3739634132453d-01,-5.3983160427515d-01, 2.3903669748425d-01,
-     |   8.1534954189029d-01, 7.7320196804900d-01, 1.6220723017679d-01,
-     |  -5.5255952329360d-01,-8.4198175287429d-01,-5.0214375547606d-01,
-     |   2.0325610834051d-01, 7.4602750636093d-01, 7.2690107772885d-01,
-     |   1.6774471974717d-01,-5.1027334649717d-01,-8.0240669687312d-01,
-     |  -4.9441321465870d-01, 1.8103743552264d-01, 7.1934062520833d-01,
-     |   7.1934062520833d-01, 1.8103743552265d-01,-4.9441321465870d-01,
-     |  -8.0240669687312d-01,-5.1027334649717d-01, 1.6774471974717d-01,
-     |   7.2690107772884d-01, 7.4602750636093d-01, 2.0325610834051d-01,
-     |  -5.0214375547606d-01,-8.4198175287429d-01,-5.5255952329360d-01,
-     |   1.6220723017679d-01, 7.7320196804900d-01, 8.1534954189029d-01,
-     |   2.3903669748426d-01,-5.3983160427515d-01,-9.3739634132453d-01,
-     |  -6.3571800180830d-01, 1.6672417688556d-01, 8.8223082277797d-01,
-     |   9.5925635887795d-01, 3.0127140150286d-01,-6.3422431729848d-01,
-     |  -1.1472830105664d+00,-8.0870674037752d-01, 1.9461964288617d-01,
-     |   1.1495529472358d+00, 1.3062790910369d+00, 4.3877977988316d-01,
-     |  -9.2524618392832d-01,-1.7957332810195d+00,-1.3664131790450d+00,
-     |   4.0884311078778d-01, 2.7087535299135d+00, 4.3042223297031d+00/
-      data (pmn(lat, 1,20), lat = 1,72)/
-     |   9.8713919417183d-01, 2.4038239911516d+00, 2.4957297990193d+00,
-     |   1.3123280948762d+00,-3.4121453855227d-01,-1.4434950116365d+00,
-     |  -1.4094337081174d+00,-4.2653648384965d-01, 7.3007548943613d-01,
-     |   1.2543146219637d+00, 8.4669275462898d-01,-1.2603807993005d-01,
-     |  -9.3422185475231d-01,-1.0169648442184d+00,-3.6297871574261d-01,
-     |   5.1513525053766d-01, 9.7360716348964d-01, 7.0274639464111d-01,
-     |  -6.7613135804744d-02,-7.5705813059160d-01,-8.6707830192754d-01,
-     |  -3.3819954515363d-01, 4.2214244539574d-01, 8.5037281187582d-01,
-     |   6.4153613013860d-01,-3.5173025727266d-02,-6.7149929703718d-01,
-     |  -7.9953214143567d-01,-3.3392015224527d-01, 3.7215251073633d-01,
-     |   7.9335554233072d-01, 6.2121100426451d-01,-1.1017261731606d-02,
-     |  -6.3081456877179d-01,-7.7800516168769d-01,-3.4497645771993d-01,
-     |   3.4497645771993d-01, 7.7800516168769d-01, 6.3081456877179d-01,
-     |   1.1017261731608d-02,-6.2121100426451d-01,-7.9335554233072d-01,
-     |  -3.7215251073633d-01, 3.3392015224526d-01, 7.9953214143567d-01,
-     |   6.7149929703718d-01, 3.5173025727270d-02,-6.4153613013860d-01,
-     |  -8.5037281187582d-01,-4.2214244539574d-01, 3.3819954515363d-01,
-     |   8.6707830192753d-01, 7.5705813059160d-01, 6.7613135804749d-02,
-     |  -7.0274639464111d-01,-9.7360716348964d-01,-5.1513525053767d-01,
-     |   3.6297871574262d-01, 1.0169648442184d+00, 9.3422185475231d-01,
-     |   1.2603807993005d-01,-8.4669275462898d-01,-1.2543146219637d+00,
-     |  -7.3007548943614d-01, 4.2653648384964d-01, 1.4094337081174d+00,
-     |   1.4434950116365d+00, 3.4121453855227d-01,-1.3123280948762d+00,
-     |  -2.4957297990193d+00,-2.4038239911516d+00,-9.8713919417183d-01/
-      data (pmn(lat, 2,20), lat = 1,72)/
-     |   1.1100922560071d-01, 8.7246581112122d-01, 1.8194088485688d+00,
-     |   2.2037513223597d+00, 1.6322181243502d+00, 3.5039045375619d-01,
-     |  -9.1285700617272d-01,-1.4323187971793d+00,-9.6864788981551d-01,
-     |   8.3774702965497d-02, 9.7859404070233d-01, 1.1275508153593d+00,
-     |   4.8513608891435d-01,-4.5087774770562d-01,-1.0099749371538d+00,
-     |  -8.2155155244122d-01,-5.8520598943023d-02, 7.0904890221186d-01,
-     |   9.3330458515450d-01, 4.7617453749994d-01,-3.0768341894098d-01,
-     |  -8.4155582835227d-01,-7.4745687291638d-01,-1.1211620486340d-01,
-     |   5.8830959119511d-01, 8.4229687544169d-01, 4.7444011932733d-01,
-     |  -2.3415707756018d-01,-7.5889845126294d-01,-7.1802686719062d-01,
-     |  -1.4915484629538d-01, 5.2358031457135d-01, 8.0415815875221d-01,
-     |   4.8883645214318d-01,-1.8645833582667d-01,-7.2179583781717d-01,
-     |  -7.2179583781717d-01,-1.8645833582667d-01, 4.8883645214318d-01,
-     |   8.0415815875220d-01, 5.2358031457135d-01,-1.4915484629538d-01,
-     |  -7.1802686719062d-01,-7.5889845126295d-01,-2.3415707756019d-01,
-     |   4.7444011932733d-01, 8.4229687544169d-01, 5.8830959119512d-01,
-     |  -1.1211620486340d-01,-7.4745687291638d-01,-8.4155582835227d-01,
-     |  -3.0768341894099d-01, 4.7617453749994d-01, 9.3330458515450d-01,
-     |   7.0904890221187d-01,-5.8520598943018d-02,-8.2155155244122d-01,
-     |  -1.0099749371538d+00,-4.5087774770561d-01, 4.8513608891434d-01,
-     |   1.1275508153593d+00, 9.7859404070233d-01, 8.3774702965503d-02,
-     |  -9.6864788981551d-01,-1.4323187971793d+00,-9.1285700617272d-01,
-     |   3.5039045375617d-01, 1.6322181243502d+00, 2.2037513223597d+00,
-     |   1.8194088485688d+00, 8.7246581112122d-01, 1.1100922560071d-01/
-      data (pmn(lat, 3,20), lat = 1,72)/
-     |   8.2476391419572d-03, 2.0144140788692d-01, 7.5816119114715d-01,
-     |   1.4961130755973d+00, 1.9560144456606d+00, 1.7319532623260d+00,
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-      data (pmn(lat, 4,20), lat = 1,72)/
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-      data (pmn(lat, 5,20), lat = 1,72)/
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-      data (pmn(lat, 6,20), lat = 1,72)/
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-      data (pmn(lat, 7,20), lat = 1,72)/
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-      data (pmn(lat, 8,20), lat = 1,72)/
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-      data (pmn(lat, 9,20), lat = 1,72)/
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-      data (pmn(lat,10,20), lat = 1,72)/
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-      data (pmn(lat,11,20), lat = 1,72)/
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-     |  -1.9757263247502d-07,-7.6106896308274d-10,-4.4265193398617d-15/
-      data (pmn(lat,12,20), lat = 1,72)/
-     |   6.8311081847040d-17, 3.5336990891091d-11, 1.5378525878566d-08,
-     |   8.0358633570773d-07, 1.4696676812784d-05, 1.4225042625769d-04,
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-     |   1.2279018492879d+00, 1.3558045268615d+00, 1.2576393434441d+00,
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-     |  -8.2104653213912d-01,-1.0356515297549d+00,-8.4715310062785d-01,
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-     |   1.2576393434441d+00, 1.3558045268615d+00, 1.2279018492879d+00,
-     |   9.6623433840317d-01, 6.6958015806441d-01, 4.1008655791511d-01,
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-     |   1.4549252002181d-02, 4.0792271919405d-03, 8.9307131839889d-04,
-     |   1.4225042625769d-04, 1.4696676812784d-05, 8.0358633570773d-07,
-     |   1.5378525878566d-08, 3.5336990891091d-11, 6.8311081847040d-17/
-      data (pmn(lat,13,20), lat = 1,72)/
-     |   9.3163046674986d-19, 1.4494344873896d-12, 1.0566703513892d-09,
-     |   7.7900130956634d-08, 1.8510626654955d-06, 2.2193841099070d-05,
-     |   1.6742505488902d-04, 9.0028596020459d-04, 3.7275179545056d-03,
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-     |   8.3071484004368d-01, 1.1030389460291d+00, 1.2963656448768d+00,
-     |   1.3216733421631d+00, 1.1139170828150d+00, 6.6963013321216d-01,
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-     |  -1.0127644864009d+00,-7.1720143645771d-01,-1.5497158881757d-01,
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-     |   3.0777603102740d-01, 7.8262002665846d-01, 9.0003097460273d-01,
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-     |   1.5497158881757d-01, 7.1720143645771d-01, 1.0127644864009d+00,
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-     |  -3.7275179545056d-03,-9.0028596020459d-04,-1.6742505488902d-04,
-     |  -2.2193841099071d-05,-1.8510626654955d-06,-7.7900130956634d-08,
-     |  -1.0566703513892d-09,-1.4494344873896d-12,-9.3163046674986d-19/
-      data (pmn(lat,14,20), lat = 1,72)/
-     |   1.1201653185758d-20, 5.2399298617625d-14, 6.3953141125228d-11,
-     |   6.6456903833216d-09, 2.0491001599680d-07, 3.0382250818529d-06,
-     |   2.7480693492734d-05, 1.7349062925137d-04, 8.3101956444271d-04,
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-     |   6.6629611817852d-02, 1.4071826872523d-01, 2.6563289962430d-01,
-     |   4.5116513168194d-01, 6.9182331045210d-01, 9.5772171839813d-01,
-     |   1.1914904316963d+00, 1.3166223687028d+00, 1.2592086312163d+00,
-     |   9.7862863928120d-01, 4.9599645993777d-01,-9.4147827757902d-02,
-     |  -6.4007816565432d-01,-9.7787438058025d-01,-9.9215580747294d-01,
-     |  -6.6872936878479d-01,-1.1396392729403d-01, 4.7345244473591d-01,
-     |   8.7289122004924d-01, 9.2853718123273d-01, 6.1609714827353d-01,
-     |   5.8488256156599d-02,-5.1987972734433d-01,-8.8354906902122d-01,
-     |  -8.8354906902122d-01,-5.1987972734433d-01, 5.8488256156597d-02,
-     |   6.1609714827353d-01, 9.2853718123273d-01, 8.7289122004924d-01,
-     |   4.7345244473591d-01,-1.1396392729402d-01,-6.6872936878479d-01,
-     |  -9.9215580747294d-01,-9.7787438058025d-01,-6.4007816565432d-01,
-     |  -9.4147827757904d-02, 4.9599645993777d-01, 9.7862863928120d-01,
-     |   1.2592086312163d+00, 1.3166223687028d+00, 1.1914904316963d+00,
-     |   9.5772171839814d-01, 6.9182331045210d-01, 4.5116513168194d-01,
-     |   2.6563289962430d-01, 1.4071826872523d-01, 6.6629611817853d-02,
-     |   2.7916843681111d-02, 1.0204477492326d-02, 3.1911706134372d-03,
-     |   8.3101956444272d-04, 1.7349062925137d-04, 2.7480693492734d-05,
-     |   3.0382250818530d-06, 2.0491001599680d-07, 6.6456903833216d-09,
-     |   6.3953141125228d-11, 5.2399298617625d-14, 1.1201653185758d-20/
-      data (pmn(lat,15,20), lat = 1,72)/
-     |   1.1807707346904d-22, 1.6603261744964d-15, 3.3908955933457d-12,
-     |   4.9630459065749d-10, 1.9836492647525d-08, 3.6323163943406d-07,
-     |   3.9325263734550d-06, 2.9086140842142d-05, 1.6075941122053d-04,
-     |   7.0454964222788d-04, 2.5512374488090d-03, 7.8613582069918d-03,
-     |   2.1064388024414d-02, 4.9876422806077d-02, 1.0561957002032d-01,
-     |   2.0179439003145d-01, 3.4997338354538d-01, 5.5296480686408d-01,
-     |   7.9682749211676d-01, 1.0451343354099d+00, 1.2398310661605d+00,
-     |   1.3120233749747d+00, 1.2026192737540d+00, 8.8777721431155d-01,
-     |   3.9966665988691d-01,-1.6824591313287d-01,-6.7853227767589d-01,
-     |  -9.8866527726095d-01,-1.0003536255279d+00,-7.0112540830116d-01,
-     |  -1.7968231070779d-01, 3.9532038985946d-01, 8.2931067339208d-01,
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-     |  -2.9040182753355d-01,-7.6732403202659d-01,-9.7053275342794d-01,
-     |  -8.2931067339208d-01,-3.9532038985946d-01, 1.7968231070779d-01,
-     |   7.0112540830116d-01, 1.0003536255279d+00, 9.8866527726095d-01,
-     |   6.7853227767589d-01, 1.6824591313287d-01,-3.9966665988690d-01,
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-     |  -1.0561957002032d-01,-4.9876422806077d-02,-2.1064388024414d-02,
-     |  -7.8613582069918d-03,-2.5512374488090d-03,-7.0454964222789d-04,
-     |  -1.6075941122053d-04,-2.9086140842142d-05,-3.9325263734550d-06,
-     |  -3.6323163943407d-07,-1.9836492647525d-08,-4.9630459065749d-10,
-     |  -3.3908955933457d-12,-1.6603261744964d-15,-1.1807707346904d-22/
-      data (pmn(lat,16,20), lat = 1,72)/
-     |   1.0802798505023d-24, 4.5652339449332d-17, 1.5595359802134d-13,
-     |   3.2130657262924d-11, 1.6632801799194d-09, 3.7572757435982d-08,
-     |   4.8623450547753d-07, 4.2062052858306d-06, 2.6769208002430d-05,
-     |   1.3355812597594d-04, 5.4597366338492d-04, 1.8877941341592d-03,
-     |   5.6525045481610d-03, 1.4918956596032d-02, 3.5182376380145d-02,
-     |   7.4901872631385d-02, 1.4508895296705d-01, 2.5717248523100d-01,
-     |   4.1870779924738d-01, 6.2737177432041d-01, 8.6494256955563d-01,
-     |   1.0940919546984d+00, 1.2610874574393d+00, 1.3062978530330d+00,
-     |   1.1816540720214d+00, 8.7069915447432d-01, 4.0404728446949d-01,
-     |  -1.3739279333902d-01,-6.3621610468633d-01,-9.6834864356300d-01,
-     |  -1.0411456717707d+00,-8.2710355775827d-01,-3.8004228182226d-01,
-     |   1.7449852211075d-01, 6.7399301716630d-01, 9.6851111536214d-01,
-     |   9.6851111536214d-01, 6.7399301716630d-01, 1.7449852211075d-01,
-     |  -3.8004228182226d-01,-8.2710355775827d-01,-1.0411456717707d+00,
-     |  -9.6834864356300d-01,-6.3621610468633d-01,-1.3739279333902d-01,
-     |   4.0404728446949d-01, 8.7069915447432d-01, 1.1816540720214d+00,
-     |   1.3062978530330d+00, 1.2610874574393d+00, 1.0940919546984d+00,
-     |   8.6494256955564d-01, 6.2737177432041d-01, 4.1870779924739d-01,
-     |   2.5717248523101d-01, 1.4508895296705d-01, 7.4901872631386d-02,
-     |   3.5182376380145d-02, 1.4918956596032d-02, 5.6525045481611d-03,
-     |   1.8877941341592d-03, 5.4597366338492d-04, 1.3355812597594d-04,
-     |   2.6769208002431d-05, 4.2062052858306d-06, 4.8623450547753d-07,
-     |   3.7572757435983d-08, 1.6632801799194d-09, 3.2130657262924d-11,
-     |   1.5595359802134d-13, 4.5652339449332d-17, 1.0802798505023d-24/
-      data (pmn(lat,17,20), lat = 1,72)/
-     |   8.4345859255715d-27, 1.0710708627064d-18, 6.1181180423776d-15,
-     |   1.7734228276960d-12, 1.1881906797119d-10, 3.3082119737456d-09,
-     |   5.1116799470229d-08, 5.1646514764779d-07, 3.7784727315924d-06,
-     |   2.1417934593004d-05, 9.8603225096059d-05, 3.8145747607902d-04,
-     |   1.2718590655300d-03, 3.7258608919264d-03, 9.7333566067362d-03,
-     |   2.2939390484354d-02, 4.9218271532357d-02, 9.6820060050954d-02,
-     |   1.7556611436575d-01, 2.9461452856110d-01, 4.5867271896772d-01,
-     |   6.6322204851610d-01, 8.9016985707980d-01, 1.1059950649346d+00,
-     |   1.2644577974932d+00, 1.3149829117801d+00, 1.2159432196982d+00,
-     |   9.4978262068264d-01, 5.3513775159731d-01, 3.0796200304432d-02,
-     |  -4.7197667232947d-01,-8.6872170258186d-01,-1.0684439375863d+00,
-     |  -1.0200563414604d+00,-7.3002236843700d-01,-2.6467363636252d-01,
-     |   2.6467363636252d-01, 7.3002236843700d-01, 1.0200563414604d+00,
-     |   1.0684439375863d+00, 8.6872170258186d-01, 4.7197667232947d-01,
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-     |  -1.1059950649346d+00,-8.9016985707980d-01,-6.6322204851610d-01,
-     |  -4.5867271896773d-01,-2.9461452856110d-01,-1.7556611436575d-01,
-     |  -9.6820060050954d-02,-4.9218271532358d-02,-2.2939390484354d-02,
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-     |  -3.3082119737457d-09,-1.1881906797119d-10,-1.7734228276960d-12,
-     |  -6.1181180423776d-15,-1.0710708627064d-18,-8.4345859255715d-27/
-      data (pmn(lat,18,20), lat = 1,72)/
-     |   5.4586063119505d-29, 2.0825906551584d-20, 1.9886105254229d-16,
-     |   8.1064322399457d-14, 7.0255403976922d-12, 2.4091400748043d-10,
-     |   4.4404411344975d-09, 5.2341204064747d-08, 4.3959877723983d-07,
-     |   2.8264174087684d-06, 1.4625797623169d-05, 6.3160422097506d-05,
-     |   2.3385760128175d-04, 7.5788389308494d-04, 2.1845972068571d-03,
-     |   5.6722998616035d-03, 1.3401410568864d-02, 2.9044137497632d-02,
-     |   5.8116225395457d-02, 1.0792027321744d-01, 1.8672972465517d-01,
-     |   3.0193754344706d-01, 4.5716189642830d-01, 6.4875110128557d-01,
-     |   8.6264592661961d-01, 1.0729277079568d+00, 1.2433643602960d+00,
-     |   1.3327020755032d+00, 1.3033683427440d+00, 1.1319260489641d+00,
-     |   8.1851579793139d-01, 3.9214533089726d-01,-9.0648452197807d-02,
-     |  -5.5456684933454d-01,-9.2031895839783d-01,-1.1219176949447d+00,
-     |  -1.1219176949447d+00,-9.2031895839784d-01,-5.5456684933454d-01,
-     |  -9.0648452197808d-02, 3.9214533089726d-01, 8.1851579793139d-01,
-     |   1.1319260489641d+00, 1.3033683427440d+00, 1.3327020755032d+00,
-     |   1.2433643602960d+00, 1.0729277079568d+00, 8.6264592661961d-01,
-     |   6.4875110128557d-01, 4.5716189642830d-01, 3.0193754344706d-01,
-     |   1.8672972465517d-01, 1.0792027321744d-01, 5.8116225395457d-02,
-     |   2.9044137497632d-02, 1.3401410568864d-02, 5.6722998616035d-03,
-     |   2.1845972068571d-03, 7.5788389308494d-04, 2.3385760128176d-04,
-     |   6.3160422097506d-05, 1.4625797623169d-05, 2.8264174087685d-06,
-     |   4.3959877723984d-07, 5.2341204064748d-08, 4.4404411344975d-09,
-     |   2.4091400748044d-10, 7.0255403976922d-12, 8.1064322399457d-14,
-     |   1.9886105254229d-16, 2.0825906551584d-20, 5.4586063119505d-29/
-      data (pmn(lat,19,20), lat = 1,72)/
-     |   2.7682621227633d-31, 3.1728248826140d-22, 5.0633190765037d-18,
-     |   2.9016461567448d-15, 3.2513045767297d-13, 1.3722771405747d-11,
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-      data (pmn(lat,20,20), lat = 1,72)/
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-      data (pmn(lat, 0,21), lat = 1,72)/
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-      data (pmn(lat, 1,21), lat = 1,72)/
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-      data (pmn(lat, 2,21), lat = 1,72)/
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-      data (pmn(lat, 3,21), lat = 1,72)/
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-      data (pmn(lat, 4,21), lat = 1,72)/
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-      data (pmn(lat, 5,21), lat = 1,72)/
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-      data (pmn(lat, 6,21), lat = 1,72)/
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-      data (pmn(lat, 7,21), lat = 1,72)/
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-      data (pmn(lat, 8,21), lat = 1,72)/
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-      data (pmn(lat, 9,21), lat = 1,72)/
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-     |   3.5687895288028d-05, 3.9074262658181d-07, 2.0687177348323d-11/
-      data (pmn(lat,10,21), lat = 1,72)/
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-     |   9.8421876246150d-05, 1.0445347659954d-03, 6.4144356308860d-03,
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-     |  -3.8059795925215d-06,-2.4783396438521d-08,-4.3547627907796d-13/
-      data (pmn(lat,11,21), lat = 1,72)/
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-     |   1.3115237846209d-05, 1.8177299869333d-04, 1.3922804415915d-03,
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-     |   3.5816838392161d-07, 1.3890214867875d-09, 8.1058531025737d-15/
-      data (pmn(lat,12,21), lat = 1,72)/
-     |   1.3390666006336d-16, 6.9056008518871d-11, 2.9867002417305d-08,
-     |   1.5460520461438d-06, 2.7917762223806d-05, 2.6586579930511d-04,
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-     |  -2.9867002417305d-08,-6.9056008518871d-11,-1.3390666006336d-16/
-      data (pmn(lat,13,21), lat = 1,72)/
-     |   1.9661895413048d-18, 3.0502632400363d-12, 2.2109511296442d-09,
-     |   1.6158296172329d-07, 3.7946429942763d-06, 4.4821843247696d-05,
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-     |   2.2109511296442d-09, 3.0502632400363d-12, 1.9661895413048d-18/
-      data (pmn(lat,14,21), lat = 1,72)/
-     |   2.5642756050805d-20, 1.1963226299243d-13, 1.4522947672392d-10,
-     |   1.4969642226892d-08, 4.5654969260071d-07, 6.6761625420323d-06,
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-     |   6.4197322773589d-03, 1.9888098035067d-02, 5.2462609253146d-02,
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-     |   6.8598009457400d-01, 9.7231404616643d-01, 1.2216972701307d+00,
-     |   1.3410224854796d+00, 1.2429159268639d+00, 8.8809851306268d-01,
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-     |  -1.0372340197559d+00,-8.4734413195346d-01,-3.2618311991541d-01,
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-     |  -1.7183667695082d-03,-3.6733763849808d-04,-5.9372198043672d-05,
-     |  -6.6761625420325d-06,-4.5654969260071d-07,-1.4969642226892d-08,
-     |  -1.4522947672392d-10,-1.1963226299243d-13,-2.5642756050805d-20/
-      data (pmn(lat,15,21), lat = 1,72)/
-     |   2.9610642494255d-22, 4.1532559833027d-15, 8.4397063936885d-12,
-     |   1.2259317142403d-09, 4.8500793431453d-08, 8.7671332430615d-07,
-     |   9.3435268961275d-06, 6.7827093691231d-05, 3.6677915711319d-04,
-     |   1.5674148674977d-03, 5.5140871883684d-03, 1.6440523856612d-02,
-     |   4.2432569433281d-02, 9.6281536461348d-02, 1.9421795340590d-01,
-     |   3.5095254781185d-01, 5.7061885685816d-01, 8.3575298239037d-01,
-     |   1.0994767944432d+00, 1.2876721543015d+00, 1.3160897083993d+00,
-     |   1.1212821030444d+00, 6.9577812431017d-01, 1.1127714331297d-01,
-     |  -4.8628869288319d-01,-9.1671398501677d-01,-1.0312629596153d+00,
-     |  -7.7916715098526d-01,-2.4340805736218d-01, 3.7695486424567d-01,
-     |   8.3830921358850d-01, 9.5184281742972d-01, 6.6762444561309d-01,
-     |   1.0288360822440d-01,-5.0285625907466d-01,-8.8932576800902d-01,
-     |  -8.8932576800902d-01,-5.0285625907467d-01, 1.0288360822440d-01,
-     |   6.6762444561309d-01, 9.5184281742972d-01, 8.3830921358850d-01,
-     |   3.7695486424567d-01,-2.4340805736217d-01,-7.7916715098526d-01,
-     |  -1.0312629596153d+00,-9.1671398501677d-01,-4.8628869288319d-01,
-     |   1.1127714331297d-01, 6.9577812431017d-01, 1.1212821030444d+00,
-     |   1.3160897083993d+00, 1.2876721543015d+00, 1.0994767944432d+00,
-     |   8.3575298239037d-01, 5.7061885685816d-01, 3.5095254781186d-01,
-     |   1.9421795340590d-01, 9.6281536461348d-02, 4.2432569433282d-02,
-     |   1.6440523856612d-02, 5.5140871883684d-03, 1.5674148674977d-03,
-     |   3.6677915711320d-04, 6.7827093691231d-05, 9.3435268961275d-06,
-     |   8.7671332430618d-07, 4.8500793431453d-08, 1.2259317142403d-09,
-     |   8.4397063936885d-12, 4.1532559833027d-15, 2.9610642494255d-22/
-      data (pmn(lat,16,21), lat = 1,72)/
-     |   3.0086158848736d-24, 1.2684422643856d-16, 4.3127135626120d-13,
-     |   8.8222391184420d-11, 4.5233864340056d-09, 1.0095223106353d-07,
-     |   1.2873599781056d-06, 1.0943938457034d-05, 6.8250150208284d-05,
-     |   3.3266166961796d-04, 1.3241984398945d-03, 4.4427466007586d-03,
-     |   1.2857964702338d-02, 3.2661490105460d-02, 7.3770118364334d-02,
-     |   1.4958309705134d-01, 2.7416564383527d-01, 4.5620663217204d-01,
-     |   6.9045378438924d-01, 9.4948893335455d-01, 1.1805690764366d+00,
-     |   1.3123843868683d+00, 1.2738676681039d+00, 1.0218078911517d+00,
-     |   5.6792998720691d-01,-7.4517230249892d-03,-5.6612015723816d-01,
-     |  -9.4955776067600d-01,-1.0338840400341d+00,-7.8197006606725d-01,
-     |  -2.6946981064747d-01, 3.3091936144397d-01, 8.0622650477342d-01,
-     |   9.8172367204198d-01, 7.9006006002618d-01, 3.0123817272186d-01,
-     |  -3.0123817272186d-01,-7.9006006002618d-01,-9.8172367204198d-01,
-     |  -8.0622650477342d-01,-3.3091936144398d-01, 2.6946981064747d-01,
-     |   7.8197006606725d-01, 1.0338840400341d+00, 9.4955776067600d-01,
-     |   5.6612015723816d-01, 7.4517230249918d-03,-5.6792998720691d-01,
-     |  -1.0218078911517d+00,-1.2738676681039d+00,-1.3123843868683d+00,
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-     |  -4.5620663217204d-01,-2.7416564383527d-01,-1.4958309705135d-01,
-     |  -7.3770118364334d-02,-3.2661490105460d-02,-1.2857964702338d-02,
-     |  -4.4427466007586d-03,-1.3241984398945d-03,-3.3266166961796d-04,
-     |  -6.8250150208285d-05,-1.0943938457034d-05,-1.2873599781056d-06,
-     |  -1.0095223106354d-07,-4.5233864340056d-09,-8.8222391184420d-11,
-     |  -4.3127135626120d-13,-1.2684422643856d-16,-3.0086158848736d-24/
-      data (pmn(lat,17,21), lat = 1,72)/
-     |   2.6616274955921d-26, 3.3723753867963d-18, 1.9177781024870d-14,
-     |   5.5217005509609d-12, 3.6662883524943d-10, 1.0092289502859d-08,
-     |   1.5380158521354d-07, 1.5287789274563d-06, 1.0974473953950d-05,
-     |   6.0870460792452d-05, 2.7340537543196d-04, 1.0286933012271d-03,
-     |   3.3245381547673d-03, 9.4051752538151d-03, 2.3630906079963d-02,
-     |   5.3320940820012d-02, 1.0896671573376d-01, 2.0294982669847d-01,
-     |   3.4598450739756d-01, 5.4119507484780d-01, 7.7705212818821d-01,
-     |   1.0219228501440d+00, 1.2239231711989d+00, 1.3191735039640d+00,
-     |   1.2489802221889d+00, 9.8237737943747d-01, 5.3643958869022d-01,
-     |  -1.5023241127944d-02,-5.5164521407842d-01,-9.3659365739083d-01,
-     |  -1.0592366010368d+00,-8.7606858245061d-01,-4.3358059932669d-01,
-     |   1.3839098370327d-01, 6.6377117409208d-01, 9.7656305781973d-01,
-     |   9.7656305781973d-01, 6.6377117409208d-01, 1.3839098370327d-01,
-     |  -4.3358059932669d-01,-8.7606858245061d-01,-1.0592366010368d+00,
-     |  -9.3659365739083d-01,-5.5164521407842d-01,-1.5023241127947d-02,
-     |   5.3643958869022d-01, 9.8237737943747d-01, 1.2489802221889d+00,
-     |   1.3191735039640d+00, 1.2239231711989d+00, 1.0219228501440d+00,
-     |   7.7705212818822d-01, 5.4119507484780d-01, 3.4598450739757d-01,
-     |   2.0294982669847d-01, 1.0896671573376d-01, 5.3320940820012d-02,
-     |   2.3630906079963d-02, 9.4051752538151d-03, 3.3245381547673d-03,
-     |   1.0286933012271d-03, 2.7340537543196d-04, 6.0870460792452d-05,
-     |   1.0974473953950d-05, 1.5287789274563d-06, 1.5380158521354d-07,
-     |   1.0092289502860d-08, 3.6662883524943d-10, 5.5217005509609d-12,
-     |   1.9177781024870d-14, 3.3723753867963d-18, 2.6616274955921d-26/
-      data (pmn(lat,18,21), lat = 1,72)/
-     |   2.0150299374630d-28, 7.6716506708806d-20, 7.2945814406399d-16,
-     |   2.9547271997881d-13, 2.5389922531378d-11, 8.6134124974590d-10,
-     |   1.5670514138029d-08, 1.8189705897689d-07, 1.5007404869785d-06,
-     |   9.4547084459439d-06, 4.7811614868329d-05, 2.0120215629202d-04,
-     |   7.2377481462329d-04, 2.2714955653153d-03, 6.3184751847433d-03,
-     |   1.5771087500886d-02, 3.5666950304361d-02, 7.3640280109525d-02,
-     |   1.3961791335029d-01, 2.4412497008349d-01, 3.9480295877717d-01,
-     |   5.9138481896563d-01, 8.2034636000335d-01, 1.0514135264290d+00,
-     |   1.2385033469302d+00, 1.3269965740682d+00, 1.2673147509530d+00,
-     |   1.0320351603645d+00, 6.3125122102864d-01, 1.1985433837852d-01,
-     |  -4.0818232462310d-01,-8.3957419909487d-01,-1.0714203838444d+00,
-     |  -1.0421791582897d+00,-7.5348519757878d-01,-2.7444256035255d-01,
-     |   2.7444256035255d-01, 7.5348519757877d-01, 1.0421791582897d+00,
-     |   1.0714203838444d+00, 8.3957419909487d-01, 4.0818232462310d-01,
-     |  -1.1985433837852d-01,-6.3125122102864d-01,-1.0320351603645d+00,
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-     |  -1.0514135264290d+00,-8.2034636000335d-01,-5.9138481896563d-01,
-     |  -3.9480295877717d-01,-2.4412497008349d-01,-1.3961791335029d-01,
-     |  -7.3640280109526d-02,-3.5666950304361d-02,-1.5771087500886d-02,
-     |  -6.3184751847433d-03,-2.2714955653153d-03,-7.2377481462329d-04,
-     |  -2.0120215629202d-04,-4.7811614868329d-05,-9.4547084459440d-06,
-     |  -1.5007404869786d-06,-1.8189705897689d-07,-1.5670514138029d-08,
-     |  -8.6134124974593d-10,-2.5389922531378d-11,-2.9547271997881d-13,
-     |  -7.2945814406399d-16,-7.6716506708806d-20,-2.0150299374630d-28/
-      data (pmn(lat,19,21), lat = 1,72)/
-     |   1.2675233708757d-30, 1.4498594387773d-21, 2.3044821469986d-17,
-     |   1.3126842920589d-14, 1.4590127784445d-12, 6.0956599011522d-11,
-     |   1.3227827266952d-09, 1.7911417201373d-08, 1.6962818000853d-07,
-     |   1.2119939990040d-06, 6.8878905653074d-06, 3.2350000633632d-05,
-     |   1.2919999555452d-04, 4.4845692116233d-04, 1.3760013504859d-03,
-     |   3.7824717747984d-03, 9.4152770357976d-03, 2.1405045324526d-02,
-     |   4.4752365927975d-02, 8.6520298387477d-02, 1.5534192213354d-01,
-     |   2.5985365051998d-01, 4.0587787690896d-01, 5.9263674357654d-01,
-     |   8.0889724429789d-01, 1.0305028321176d+00, 1.2209299773152d+00,
-     |   1.3360555356950d+00, 1.3331712624804d+00, 1.1826870733048d+00,
-     |   8.7947117720447d-01, 4.5004830684728d-01,-4.7582972948498d-02,
-     |  -5.3288305011169d-01,-9.1911463333882d-01,-1.1331329520403d+00,
-     |  -1.1331329520403d+00,-9.1911463333883d-01,-5.3288305011169d-01,
-     |  -4.7582972948499d-02, 4.5004830684728d-01, 8.7947117720447d-01,
-     |   1.1826870733048d+00, 1.3331712624804d+00, 1.3360555356950d+00,
-     |   1.2209299773152d+00, 1.0305028321176d+00, 8.0889724429789d-01,
-     |   5.9263674357655d-01, 4.0587787690896d-01, 2.5985365051998d-01,
-     |   1.5534192213354d-01, 8.6520298387477d-02, 4.4752365927975d-02,
-     |   2.1405045324526d-02, 9.4152770357976d-03, 3.7824717747984d-03,
-     |   1.3760013504858d-03, 4.4845692116233d-04, 1.2919999555452d-04,
-     |   3.2350000633632d-05, 6.8878905653074d-06, 1.2119939990040d-06,
-     |   1.6962818000853d-07, 1.7911417201373d-08, 1.3227827266952d-09,
-     |   6.0956599011524d-11, 1.4590127784445d-12, 1.3126842920589d-14,
-     |   2.3044821469986d-17, 1.4498594387773d-21, 1.2675233708757d-30/
-      data (pmn(lat,20,21), lat = 1,72)/
-     |   6.2612979579267d-33, 2.1515372161298d-23, 5.7152506879874d-19,
-     |   4.5766180292985d-16, 6.5765422281657d-14, 3.3818120424096d-12,
-     |   8.7469731488582d-11, 1.3804193456951d-09, 1.4990087345220d-08,
-     |   1.2131588332157d-07, 7.7367162674747d-07, 4.0482948603822d-06,
-     |   1.7913569262711d-05, 6.8601705870446d-05, 2.3151706652192d-04,
-     |   6.9849644569283d-04, 1.9058975843440d-03, 4.7475868020279d-03,
-     |   1.0880052067600d-02, 2.3084939765050d-02, 4.5586472817124d-02,
-     |   8.4142408190372d-02, 1.4567189328012d-01, 2.3719945749659d-01,
-     |   3.6402340420409d-01, 5.2726809414318d-01, 7.2130562910894d-01,
-     |   9.3182534517471d-01, 1.1354475118390d+00, 1.3016002584593d+00,
-     |   1.3968717844327d+00, 1.3913092570208d+00, 1.2653819490752d+00,
-     |   1.0158390271231d+00, 6.5870444802401d-01, 2.2824161849691d-01,
-     |  -2.2824161849691d-01,-6.5870444802401d-01,-1.0158390271231d+00,
-     |  -1.2653819490752d+00,-1.3913092570208d+00,-1.3968717844327d+00,
-     |  -1.3016002584593d+00,-1.1354475118390d+00,-9.3182534517471d-01,
-     |  -7.2130562910894d-01,-5.2726809414318d-01,-3.6402340420409d-01,
-     |  -2.3719945749659d-01,-1.4567189328012d-01,-8.4142408190372d-02,
-     |  -4.5586472817124d-02,-2.3084939765050d-02,-1.0880052067600d-02,
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-     |  -2.3151706652192d-04,-6.8601705870446d-05,-1.7913569262711d-05,
-     |  -4.0482948603822d-06,-7.7367162674747d-07,-1.2131588332157d-07,
-     |  -1.4990087345220d-08,-1.3804193456951d-09,-8.7469731488582d-11,
-     |  -3.3818120424097d-12,-6.5765422281657d-14,-4.5766180292985d-16,
-     |  -5.7152506879874d-19,-2.1515372161298d-23,-6.2612979579267d-33/
-      data (pmn(lat,21,21), lat = 1,72)/
-     |   2.1081233429216d-35, 2.1759734895064d-25, 9.6581822618407d-21,
-     |   1.0869265106532d-17, 2.0185278884837d-15, 1.2768974729604d-13,
-     |   3.9339796072256d-12, 7.2304887314612d-11, 8.9948455407368d-10,
-     |   8.2367539005299d-09, 5.8871762000051d-08, 3.4270320593994d-07,
-     |   1.6773114649452d-06, 7.0729869501979d-06, 2.6193817101481d-05,
-     |   8.6502869401522d-05, 2.5790683505592d-04, 7.0128182143373d-04,
-     |   1.7537271112757d-03, 4.0617778124448d-03, 8.7643636108853d-03,
-     |   1.7707198973579d-02, 3.3640197176071d-02, 6.0316038915991d-02,
-     |   1.0238444636333d-01, 1.6498020453962d-01, 2.5294820715412d-01,
-     |   3.6973935718962d-01, 5.1613243966808d-01, 6.8905521634527d-01,
-     |   8.8084743393218d-01, 1.0792877387147d+00, 1.2685769910727d+00,
-     |   1.4312499720200d+00, 1.5507313559485d+00, 1.6140385448993d+00,
-     |   1.6140385448993d+00, 1.5507313559485d+00, 1.4312499720200d+00,
-     |   1.2685769910727d+00, 1.0792877387147d+00, 8.8084743393218d-01,
-     |   6.8905521634527d-01, 5.1613243966808d-01, 3.6973935718962d-01,
-     |   2.5294820715412d-01, 1.6498020453962d-01, 1.0238444636333d-01,
-     |   6.0316038915991d-02, 3.3640197176071d-02, 1.7707198973579d-02,
-     |   8.7643636108854d-03, 4.0617778124448d-03, 1.7537271112757d-03,
-     |   7.0128182143374d-04, 2.5790683505592d-04, 8.6502869401522d-05,
-     |   2.6193817101481d-05, 7.0729869501979d-06, 1.6773114649452d-06,
-     |   3.4270320593994d-07, 5.8871762000051d-08, 8.2367539005300d-09,
-     |   8.9948455407370d-10, 7.2304887314613d-11, 3.9339796072256d-12,
-     |   1.2768974729604d-13, 2.0185278884837d-15, 1.0869265106532d-17,
-     |   9.6581822618407d-21, 2.1759734895064d-25, 2.1081233429216d-35/
-      data (pmn(lat, 0,22), lat = 1,72)/
-     |   4.4620823216104d+00, 2.5005884430730d+00,-1.2132115296879d-01,
-     |  -1.7610609493730d+00,-1.6108740423561d+00,-1.9632276719731d-01,
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-      data (pmn(lat, 1,22), lat = 1,72)/
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-      data (pmn(lat, 2,22), lat = 1,72)/
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-      data (pmn(lat, 3,22), lat = 1,72)/
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-      data (pmn(lat, 4,22), lat = 1,72)/
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-      data (pmn(lat, 5,22), lat = 1,72)/
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-      data (pmn(lat, 6,22), lat = 1,72)/
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-      data (pmn(lat, 7,22), lat = 1,72)/
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-      data (pmn(lat, 8,22), lat = 1,72)/
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-      data (pmn(lat, 9,22), lat = 1,72)/
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-      data (pmn(lat,10,22), lat = 1,72)/
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-     |   6.2820530865906d-06, 4.1223986413034d-08, 7.2713341979722d-13/
-      data (pmn(lat,11,22), lat = 1,72)/
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-     |  -6.2768547740900d-07,-2.4514951874283d-09,-1.4356277292018d-14/
-      data (pmn(lat,12,22), lat = 1,72)/
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-     |   5.5769767610106d-08, 1.2978805721421d-10, 2.5248681740741d-16/
-      data (pmn(lat,13,22), lat = 1,72)/
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-     |   3.1998186732453d-07, 7.4221880499451d-06, 8.6300299161380d-05,
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-      data (pmn(lat,14,22), lat = 1,72)/
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-     |   3.1240899107869d-10, 2.5879731488449d-13, 5.5627733933937d-20/
-      data (pmn(lat,15,22), lat = 1,72)/
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-     |  -1.9687127967697d-11,-9.7393840621060d-15,-6.9619285878222d-22/
-      data (pmn(lat,16,22), lat = 1,72)/
-     |   7.7432124089243d-24, 3.2565177235944d-16, 1.1017471470947d-12,
-     |   2.2369826376902d-10, 1.1354775740921d-08, 2.5021041408531d-07,
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-     |   9.9580544935382d-01, 1.2317467202538d+00, 1.3364667887327d+00,
-     |   1.2282402413701d+00, 8.7166663698470d-01, 3.1150820469133d-01,
-     |  -3.1932598729923d-01,-8.3127797144059d-01,-1.0455209983734d+00,
-     |  -8.7294397444664d-01,-3.6775771054687d-01, 2.7636372580433d-01,
-     |   7.9593725292394d-01, 9.6861045028575d-01, 7.1593924584305d-01,
-     |   1.4668279744934d-01,-4.8551248071037d-01,-8.9483729813257d-01,
-     |  -8.9483729813257d-01,-4.8551248071037d-01, 1.4668279744934d-01,
-     |   7.1593924584305d-01, 9.6861045028575d-01, 7.9593725292394d-01,
-     |   2.7636372580433d-01,-3.6775771054686d-01,-8.7294397444664d-01,
-     |  -1.0455209983734d+00,-8.3127797144059d-01,-3.1932598729924d-01,
-     |   3.1150820469133d-01, 8.7166663698470d-01, 1.2282402413701d+00,
-     |   1.3364667887327d+00, 1.2317467202538d+00, 9.9580544935383d-01,
-     |   7.1735008070965d-01, 4.6357771328598d-01, 2.6916419031272d-01,
-     |   1.4011026176539d-01, 6.5035400640284d-02, 2.6689086863461d-02,
-     |   9.5656975972655d-03, 2.9446135692333d-03, 7.6100466320386d-04,
-     |   1.6004685625091d-04, 2.6220720953954d-05, 3.1416752064457d-06,
-     |   2.5021041408532d-07, 1.1354775740921d-08, 2.2369826376902d-10,
-     |   1.1017471470947d-12, 3.2565177235944d-16, 7.7432124089243d-24/
-      data (pmn(lat,17,22), lat = 1,72)/
-     |   7.6022170619367d-26, 9.6098577352855d-18, 5.4393738721512d-14,
-     |   1.5551094533253d-11, 1.0228212095181d-09, 2.7820619022990d-08,
-     |   4.1785312376743d-07, 4.0825150194695d-06, 2.8725166455130d-05,
-     |   1.5569816715421d-04, 6.8123024424494d-04, 2.4881843041826d-03,
-     |   7.7767421789376d-03, 2.1187846520172d-02, 5.1028467930380d-02,
-     |   1.0977614069073d-01, 2.1254837418604d-01, 3.7226106388547d-01,
-     |   5.9127815485468d-01, 8.5155794649043d-01, 1.1078764340087d+00,
-     |   1.2900667603193d+00, 1.3186207332062d+00, 1.1327798147607d+00,
-     |   7.2284146174184d-01, 1.5240214945510d-01,-4.4411315081847d-01,
-     |  -8.9565479782269d-01,-1.0535522489479d+00,-8.5408013345574d-01,
-     |  -3.5652929865529d-01, 2.6513514312111d-01, 7.8048554537613d-01,
-     |   9.9096222029322d-01, 8.1198907839042d-01, 3.1191852065805d-01,
-     |  -3.1191852065805d-01,-8.1198907839042d-01,-9.9096222029322d-01,
-     |  -7.8048554537614d-01,-2.6513514312111d-01, 3.5652929865529d-01,
-     |   8.5408013345574d-01, 1.0535522489479d+00, 8.9565479782270d-01,
-     |   4.4411315081847d-01,-1.5240214945510d-01,-7.2284146174184d-01,
-     |  -1.1327798147607d+00,-1.3186207332062d+00,-1.2900667603193d+00,
-     |  -1.1078764340087d+00,-8.5155794649043d-01,-5.9127815485468d-01,
-     |  -3.7226106388547d-01,-2.1254837418604d-01,-1.0977614069073d-01,
-     |  -5.1028467930380d-02,-2.1187846520172d-02,-7.7767421789376d-03,
-     |  -2.4881843041826d-03,-6.8123024424494d-04,-1.5569816715421d-04,
-     |  -2.8725166455130d-05,-4.0825150194695d-06,-4.1785312376743d-07,
-     |  -2.7820619022991d-08,-1.0228212095181d-09,-1.5551094533253d-11,
-     |  -5.4393738721512d-14,-9.6098577352855d-18,-7.6022170619367d-26/
-      data (pmn(lat,18,22), lat = 1,72)/
-     |   6.5167917706735d-28, 2.4756123564781d-19, 2.3435364218545d-15,
-     |   9.4295551546713d-13, 8.0305580694915d-11, 2.6937353972664d-09,
-     |   4.8340691134190d-08, 5.5210509298578d-07, 4.4703101611716d-06,
-     |   2.7563105629531d-05, 1.3602015191630d-04, 5.5686365320939d-04,
-     |   1.9423097612100d-03, 5.8891160583928d-03, 1.5763021556861d-02,
-     |   3.7691596267709d-02, 8.1248942441781d-02, 1.5897168710356d-01,
-     |   2.8368978231899d-01, 4.6308222953680d-01, 6.9208740695022d-01,
-     |   9.4559155373481d-01, 1.1753944279298d+00, 1.3156443899665d+00,
-     |   1.2988093596749d+00, 1.0798529004685d+00, 6.6109563755993d-01,
-     |   1.0686063644536d-01,-4.6201677549697d-01,-8.9742941032482d-01,
-     |  -1.0706821616911d+00,-9.2092005775906d-01,-4.8559888179215d-01,
-     |   1.0225733715869d-01, 6.5311298578168d-01, 9.8427746980127d-01,
-     |   9.8427746980127d-01, 6.5311298578168d-01, 1.0225733715870d-01,
-     |  -4.8559888179215d-01,-9.2092005775906d-01,-1.0706821616911d+00,
-     |  -8.9742941032483d-01,-4.6201677549698d-01, 1.0686063644536d-01,
-     |   6.6109563755993d-01, 1.0798529004685d+00, 1.2988093596748d+00,
-     |   1.3156443899665d+00, 1.1753944279298d+00, 9.4559155373481d-01,
-     |   6.9208740695022d-01, 4.6308222953680d-01, 2.8368978231899d-01,
-     |   1.5897168710356d-01, 8.1248942441781d-02, 3.7691596267709d-02,
-     |   1.5763021556860d-02, 5.8891160583927d-03, 1.9423097612100d-03,
-     |   5.5686365320939d-04, 1.3602015191630d-04, 2.7563105629531d-05,
-     |   4.4703101611717d-06, 5.5210509298579d-07, 4.8340691134190d-08,
-     |   2.6937353972665d-09, 8.0305580694915d-11, 9.4295551546713d-13,
-     |   2.3435364218545d-15, 2.4756123564781d-19, 6.5167917706735d-28/
-      data (pmn(lat,19,22), lat = 1,72)/
-     |   4.7923177322138d-30, 5.4702234924333d-21, 8.6581891801581d-17,
-     |   4.9007710796169d-14, 5.4010163761243d-12, 2.2325034161657d-10,
-     |   4.7822573809543d-09, 6.3772660899103d-08, 5.9335148141229d-07,
-     |   4.1545826851160d-06, 2.3076740483157d-05, 1.0563458761445d-04,
-     |   4.0995961126254d-04, 1.3783319956228d-03, 4.0822449343759d-03,
-     |   1.0790836468347d-02, 2.5721187476489d-02, 5.5733513076249d-02,
-     |   1.1047138751131d-01, 2.0124486892067d-01, 3.3802096711160d-01,
-     |   5.2441679465186d-01, 7.5161206632995d-01, 9.9332512248495d-01,
-     |   1.2048276107233d+00, 1.3286944133522d+00, 1.3081671788851d+00,
-     |   1.1059040035762d+00, 7.2257465358050d-01, 2.0784787986641d-01,
-     |  -3.4277857460904d-01,-8.0774187473901d-01,-1.0720080790079d+00,
-     |  -1.0628528840046d+00,-7.7635518083071d-01,-2.8408176221937d-01,
-     |   2.8408176221937d-01, 7.7635518083071d-01, 1.0628528840046d+00,
-     |   1.0720080790079d+00, 8.0774187473901d-01, 3.4277857460904d-01,
-     |  -2.0784787986640d-01,-7.2257465358049d-01,-1.1059040035762d+00,
-     |  -1.3081671788851d+00,-1.3286944133522d+00,-1.2048276107233d+00,
-     |  -9.9332512248495d-01,-7.5161206632995d-01,-5.2441679465186d-01,
-     |  -3.3802096711161d-01,-2.0124486892067d-01,-1.1047138751131d-01,
-     |  -5.5733513076249d-02,-2.5721187476489d-02,-1.0790836468347d-02,
-     |  -4.0822449343759d-03,-1.3783319956228d-03,-4.0995961126254d-04,
-     |  -1.0563458761445d-04,-2.3076740483157d-05,-4.1545826851161d-06,
-     |  -5.9335148141230d-07,-6.3772660899103d-08,-4.7822573809543d-09,
-     |  -2.2325034161658d-10,-5.4010163761243d-12,-4.9007710796169d-14,
-     |  -8.6581891801581d-17,-5.4702234924333d-21,-4.7923177322138d-30/
-      data (pmn(lat,20,22), lat = 1,72)/
-     |   2.9345246488376d-32, 1.0063643892232d-22, 2.6625876818829d-18,
-     |   2.1193229389291d-15, 3.0209525830542d-13, 1.5377429607616d-11,
-     |   3.9287453868301d-10, 6.1110734216986d-09, 6.5258766597205d-08,
-     |   5.1815731670498d-07, 3.2340532709969d-06, 1.6519412778772d-05,
-     |   7.1164072848870d-05, 2.6455847747953d-04, 8.6406038586344d-04,
-     |   2.5145709670221d-03, 6.5944746989081d-03, 1.5726416899134d-02,
-     |   3.4354236170478d-02, 6.9145865143188d-02, 1.2881956179142d-01,
-     |   2.2291503919912d-01, 3.5916612156276d-01, 5.3956314874570d-01,
-     |   7.5588472284226d-01, 9.8621529199602d-01, 1.1943836949953d+00,
-     |   1.3339804045108d+00, 1.3574538147727d+00, 1.2289406911291d+00,
-     |   9.3755967265709d-01, 5.0673416018685d-01,-4.5628077458030d-03,
-     |  -5.1071691065729d-01,-9.1737933014007d-01,-1.1439183754751d+00,
-     |  -1.1439183754751d+00,-9.1737933014007d-01,-5.1071691065729d-01,
-     |  -4.5628077458041d-03, 5.0673416018685d-01, 9.3755967265709d-01,
-     |   1.2289406911291d+00, 1.3574538147727d+00, 1.3339804045108d+00,
-     |   1.1943836949953d+00, 9.8621529199603d-01, 7.5588472284226d-01,
-     |   5.3956314874570d-01, 3.5916612156276d-01, 2.2291503919912d-01,
-     |   1.2881956179143d-01, 6.9145865143188d-02, 3.4354236170479d-02,
-     |   1.5726416899134d-02, 6.5944746989081d-03, 2.5145709670221d-03,
-     |   8.6406038586344d-04, 2.6455847747953d-04, 7.1164072848871d-05,
-     |   1.6519412778772d-05, 3.2340532709969d-06, 5.1815731670499d-07,
-     |   6.5258766597207d-08, 6.1110734216987d-09, 3.9287453868301d-10,
-     |   1.5377429607617d-11, 3.0209525830542d-13, 2.1193229389291d-15,
-     |   2.6625876818829d-18, 1.0063643892232d-22, 2.9345246488376d-32/
-      data (pmn(lat,21,22), lat = 1,72)/
-     |   1.4138355952468d-34, 1.4565620891783d-24, 6.4403971992551d-20,
-     |   7.2064646869849d-17, 1.3280516028778d-14, 8.3202137421922d-13,
-     |   2.5335655626828d-11, 4.5929513545811d-10, 5.6236663495738d-09,
-     |   5.0574460202234d-08, 3.5419637807400d-07, 2.0155272979463d-06,
-     |   9.6192523882981d-06, 3.9450771017331d-05, 1.4170317726841d-04,
-     |   4.5255050115709d-04, 1.3007517694035d-03, 3.3982467448358d-03,
-     |   8.1352079135969d-03, 1.7965349641313d-02, 3.6800005353210d-02,
-     |   7.0237830673722d-02, 1.2537292496469d-01, 2.0990203568926d-01,
-     |   3.3035066000893d-01, 4.8949011822627d-01, 6.8339192387344d-01,
-     |   8.9895035824842d-01, 1.1129268235711d+00, 1.2934600629969d+00,
-     |   1.4044631722566d+00, 1.4124699781892d+00, 1.2945507211751d+00,
-     |   1.0452435692049d+00, 6.8036404278554d-01, 2.3619629849780d-01,
-     |  -2.3619629849780d-01,-6.8036404278554d-01,-1.0452435692049d+00,
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-     |  -1.2934600629969d+00,-1.1129268235711d+00,-8.9895035824842d-01,
-     |  -6.8339192387344d-01,-4.8949011822627d-01,-3.3035066000893d-01,
-     |  -2.0990203568927d-01,-1.2537292496469d-01,-7.0237830673722d-02,
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-     |  -3.3982467448358d-03,-1.3007517694035d-03,-4.5255050115709d-04,
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-     |  -2.0155272979463d-06,-3.5419637807400d-07,-5.0574460202235d-08,
-     |  -5.6236663495739d-09,-4.5929513545812d-10,-2.5335655626828d-11,
-     |  -8.3202137421925d-13,-1.3280516028778d-14,-7.2064646869849d-17,
-     |  -6.4403971992551d-20,-1.4565620891783d-24,-1.4138355952468d-34/
-      data (pmn(lat,22,22), lat = 1,72)/
-     |   4.6508128569367d-37, 1.4392361084643d-26, 1.0633373568279d-21,
-     |   1.6721532766538d-18, 3.9824506091095d-16, 3.0693000847845d-14,
-     |   1.1132809180709d-12, 2.3504270103128d-11, 3.2969123380282d-10,
-     |   3.3548104609036d-09, 2.6332542087966d-08, 1.6669901036555d-07,
-     |   8.7997678507426d-07, 3.9739440107727d-06, 1.5663675405796d-05,
-     |   5.4755994392440d-05, 1.7197131995157d-04, 4.9042531980638d-04,
-     |   1.2811441738079d-03, 3.0883136291234d-03, 6.9124274345610d-03,
-     |   1.4441234711201d-02, 2.8286865992501d-02, 5.2147570366721d-02,
-     |   9.0777488949923d-02, 1.4963823642416d-01, 2.3414259815900d-01,
-     |   3.4849389928402d-01, 4.9426403444629d-01, 6.6900248280896d-01,
-     |   8.6527232026707d-01, 1.0705109187271d+00, 1.2679804955560d+00,
-     |   1.4388198098486d+00, 1.5648965475085d+00, 1.6318884097844d+00,
-     |   1.6318884097844d+00, 1.5648965475085d+00, 1.4388198098486d+00,
-     |   1.2679804955560d+00, 1.0705109187271d+00, 8.6527232026707d-01,
-     |   6.6900248280896d-01, 4.9426403444629d-01, 3.4849389928402d-01,
-     |   2.3414259815900d-01, 1.4963823642416d-01, 9.0777488949923d-02,
-     |   5.2147570366721d-02, 2.8286865992501d-02, 1.4441234711201d-02,
-     |   6.9124274345611d-03, 3.0883136291234d-03, 1.2811441738079d-03,
-     |   4.9042531980638d-04, 1.7197131995157d-04, 5.4755994392441d-05,
-     |   1.5663675405796d-05, 3.9739440107727d-06, 8.7997678507427d-07,
-     |   1.6669901036555d-07, 2.6332542087966d-08, 3.3548104609036d-09,
-     |   3.2969123380283d-10, 2.3504270103128d-11, 1.1132809180709d-12,
-     |   3.0693000847846d-14, 3.9824506091095d-16, 1.6721532766538d-18,
-     |   1.0633373568279d-21, 1.4392361084643d-26, 4.6508128569367d-37/
-      data (pmn(lat, 0,23), lat = 1,72)/
-     |   4.5344534398994d+00, 2.3782638711523d+00,-3.8580940302071d-01,
-     |  -1.8976951592125d+00,-1.4219130519409d+00, 1.9620040967009d-01,
-     |   1.3742912735295d+00, 1.1552880720493d+00,-8.3073104390950d-02,
-     |  -1.1137893803507d+00,-1.0249782906889d+00, 1.4398596931240d-03,
-     |   9.4790098759339d-01, 9.4769169476168d-01, 6.4037919514692d-02,
-     |  -8.2836159857275d-01,-8.9723390346275d-01,-1.2010649619069d-01,
-     |   7.3538883185423d-01, 8.6253899912738d-01, 1.7033798571327d-01,
-     |  -6.5914358632462d-01,-8.3809911817168d-01,-2.1689896990551d-01,
-     |   5.9407631024764d-01, 8.2088341642783d-01, 2.6126067026208d-01,
-     |  -5.3675604211000d-01,-8.0912410680407d-01,-3.0453297498927d-01,
-     |   4.8489865376243d-01, 8.0177170708413d-01, 3.4764569176502d-01,
-     |  -4.3687942613137d-01,-7.9823087074662d-01,-3.9146410662887d-01,
-     |   3.9146410662887d-01, 7.9823087074662d-01, 4.3687942613137d-01,
-     |  -3.4764569176502d-01,-8.0177170708413d-01,-4.8489865376243d-01,
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-     |  -2.6126067026208d-01,-8.2088341642783d-01,-5.9407631024764d-01,
-     |   2.1689896990551d-01, 8.3809911817168d-01, 6.5914358632462d-01,
-     |  -1.7033798571326d-01,-8.6253899912738d-01,-7.3538883185424d-01,
-     |   1.2010649619069d-01, 8.9723390346275d-01, 8.2836159857275d-01,
-     |  -6.4037919514698d-02,-9.4769169476168d-01,-9.4790098759340d-01,
-     |  -1.4398596931240d-03, 1.0249782906889d+00, 1.1137893803507d+00,
-     |   8.3073104390961d-02,-1.1552880720493d+00,-1.3742912735295d+00,
-     |  -1.9620040967011d-01, 1.4219130519409d+00, 1.8976951592125d+00,
-     |   3.8580940302071d-01,-2.3782638711523d+00,-4.5344534398994d+00/
-      data (pmn(lat, 1,23), lat = 1,72)/
-     |   1.2020879259874d+00, 2.7298561961746d+00, 2.3337130255839d+00,
-     |   4.8803713967646d-01,-1.2629604492878d+00,-1.6112808920493d+00,
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-     |   5.2858369582600d-01,-6.6720054654862d-01,-1.1512238061315d+00,
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-     |   5.5325686653416d-01,-4.2205304328405d-01,-9.5504565554127d-01,
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-      data (pmn(lat, 2,23), lat = 1,72)/
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-      data (pmn(lat, 3,23), lat = 1,72)/
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-      data (pmn(lat, 4,23), lat = 1,72)/
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-      data (pmn(lat, 5,23), lat = 1,72)/
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-     |   1.0228757620851d-01, 9.4915071229800d-03, 4.2595892463996d-05/
-      data (pmn(lat, 6,23), lat = 1,72)/
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-      data (pmn(lat, 7,23), lat = 1,72)/
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-     |   4.0235078633959d-03, 1.2812761783384d-04, 6.2442265545722d-08/
-      data (pmn(lat, 8,23), lat = 1,72)/
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-      data (pmn(lat, 9,23), lat = 1,72)/
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-      data (pmn(lat,10,23), lat = 1,72)/
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-      data (pmn(lat,11,23), lat = 1,72)/
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-      data (pmn(lat,12,23), lat = 1,72)/
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-      data (pmn(lat,13,23), lat = 1,72)/
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-      data (pmn(lat,14,23), lat = 1,72)/
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-      data (pmn(lat,15,23), lat = 1,72)/
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-      data (pmn(lat,16,23), lat = 1,72)/
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-      data (pmn(lat,17,23), lat = 1,72)/
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-     |   7.4664030783299d-01, 9.7914110739970d-01, 7.6105845920720d-01,
-     |   1.8984280021008d-01,-4.6787358485605d-01,-9.0009454280632d-01,
-     |  -9.0009454280632d-01,-4.6787358485605d-01, 1.8984280021008d-01,
-     |   7.6105845920720d-01, 9.7914110739970d-01, 7.4664030783299d-01,
-     |   1.7314653455405d-01,-4.8546139248658d-01,-9.4950274305430d-01,
-     |  -1.0365066688121d+00,-7.2567376372055d-01,-1.4490113194277d-01,
-     |   5.0134306492115d-01, 1.0213438812694d+00, 1.3014825174825d+00,
-     |   1.3262744196734d+00, 1.1567633843936d+00, 8.8773592272689d-01,
-     |   6.0702032629376d-01, 3.7169874888393d-01, 2.0390002177653d-01,
-     |   9.9892830852852d-02, 4.3434465447091d-02, 1.6603450063293d-02,
-     |   5.5064231810873d-03, 1.5560850410002d-03, 3.6569686103084d-04,
-     |   6.9133080071659d-05, 1.0035433798784d-05, 1.0459376186301d-06,
-     |   7.0710310034254d-08, 2.6324860207843d-09, 4.0423922007384d-11,
-     |   1.4243995669837d-13, 2.5288543078257d-17, 2.0054194571735d-25/
-      data (pmn(lat,18,23), lat = 1,72)/
-     |   1.9065943988612d-27, 7.2261151988624d-19, 6.8089962692096d-15,
-     |   2.7206342116896d-12, 2.2953595518456d-10, 7.6088141998912d-09,
-     |   1.3459441398705d-07, 1.5112545260033d-06, 1.1996317662040d-05,
-     |   7.2302852595984d-05, 3.4768300460519d-04, 1.3823274362624d-03,
-     |   4.6650714624349d-03, 1.3630025106622d-02, 3.4995281805724d-02,
-     |   7.9850983045655d-02, 1.6326702320357d-01, 3.0083734101744d-01,
-     |   5.0116343574622d-01, 7.5524936503792d-01, 1.0267754131870d+00,
-     |   1.2497401784743d+00, 1.3397985603704d+00, 1.2211551081596d+00,
-     |   8.6267166307135d-01, 3.0842931645631d-01,-3.1531574172695d-01,
-     |  -8.2881535229372d-01,-1.0600606768188d+00,-9.1732528362522d-01,
-     |  -4.4040508629758d-01, 1.9837558425632d-01, 7.5232043241454d-01,
-     |   9.9834495121517d-01, 8.3314457472819d-01, 3.2245139928702d-01,
-     |  -3.2245139928701d-01,-8.3314457472819d-01,-9.9834495121517d-01,
-     |  -7.5232043241454d-01,-1.9837558425632d-01, 4.4040508629758d-01,
-     |   9.1732528362522d-01, 1.0600606768188d+00, 8.2881535229372d-01,
-     |   3.1531574172695d-01,-3.0842931645630d-01,-8.6267166307135d-01,
-     |  -1.2211551081596d+00,-1.3397985603704d+00,-1.2497401784743d+00,
-     |  -1.0267754131870d+00,-7.5524936503793d-01,-5.0116343574623d-01,
-     |  -3.0083734101744d-01,-1.6326702320357d-01,-7.9850983045656d-02,
-     |  -3.4995281805723d-02,-1.3630025106622d-02,-4.6650714624349d-03,
-     |  -1.3823274362624d-03,-3.4768300460519d-04,-7.2302852595985d-05,
-     |  -1.1996317662040d-05,-1.5112545260033d-06,-1.3459441398705d-07,
-     |  -7.6088141998915d-09,-2.2953595518456d-10,-2.7206342116896d-12,
-     |  -6.8089962692096d-15,-7.2261151988624d-19,-1.9065943988612d-27/
-      data (pmn(lat,19,23), lat = 1,72)/
-     |   1.5865875953335d-29, 1.8070557694378d-20, 2.8476348585085d-16,
-     |   1.6011953233934d-13, 1.7490147091068d-11, 7.1489275955603d-10,
-     |   1.5106915217041d-08, 1.9824292649043d-07, 1.8104060943705d-06,
-     |   1.2408428561601d-05, 6.7273786796067d-05, 2.9966333725225d-04,
-     |   1.1279711948640d-03, 3.6651380951980d-03, 1.0449917188188d-02,
-     |   2.6476061640614d-02, 6.0192062647737d-02, 1.2369939285142d-01,
-     |   2.3101686164482d-01, 3.9340418470235d-01, 6.1173460868245d-01,
-     |   8.6779547349067d-01, 1.1185230653490d+00, 1.2982400210109d+00,
-     |   1.3325641522321d+00, 1.1632688034883d+00, 7.7716915214696d-01,
-     |   2.2698027926575d-01,-3.6850546928550d-01,-8.5162584885885d-01,
-     |  -1.0758251421317d+00,-9.6172307042730d-01,-5.3605539524441d-01,
-     |   6.6146094972873d-02, 6.4204865399465d-01, 9.9167418314496d-01,
-     |   9.9167418314496d-01, 6.4204865399465d-01, 6.6146094972875d-02,
-     |  -5.3605539524441d-01,-9.6172307042730d-01,-1.0758251421317d+00,
-     |  -8.5162584885885d-01,-3.6850546928550d-01, 2.2698027926575d-01,
-     |   7.7716915214696d-01, 1.1632688034883d+00, 1.3325641522321d+00,
-     |   1.2982400210109d+00, 1.1185230653490d+00, 8.6779547349067d-01,
-     |   6.1173460868246d-01, 3.9340418470235d-01, 2.3101686164482d-01,
-     |   1.2369939285142d-01, 6.0192062647737d-02, 2.6476061640614d-02,
-     |   1.0449917188188d-02, 3.6651380951980d-03, 1.1279711948640d-03,
-     |   2.9966333725225d-04, 6.7273786796067d-05, 1.2408428561601d-05,
-     |   1.8104060943705d-06, 1.9824292649043d-07, 1.5106915217041d-08,
-     |   7.1489275955605d-10, 1.7490147091068d-11, 1.6011953233934d-13,
-     |   2.8476348585085d-16, 1.8070557694378d-20, 1.5865875953335d-29/
-      data (pmn(lat,20,23), lat = 1,72)/
-     |   1.1351175152138d-31, 3.8846492968674d-22, 1.0234885787453d-17,
-     |   8.0954083842016d-15, 1.1442326101166d-12, 5.7627578751167d-11,
-     |   1.4534491397660d-09, 2.2266683496182d-08, 2.3362781235147d-07,
-     |   1.8180488827226d-06, 1.1091898734186d-05, 5.5228085617888d-05,
-     |   2.3123159043264d-04, 8.3281827656423d-04, 2.6261748229527d-03,
-     |   7.3513390190825d-03, 1.8467576046766d-02, 4.1993490988282d-02,
-     |   8.7013559332458d-02, 1.6512796133035d-01, 2.8802633728939d-01,
-     |   4.6273517899418d-01, 6.8507364264647d-01, 9.3328010616720d-01,
-     |   1.1650394846202d+00, 1.3213650970172d+00, 1.3392377503027d+00,
-     |   1.1715589849694d+00, 8.0887453734237d-01, 2.9437614483675d-01,
-     |  -2.7613892099949d-01,-7.7347904778658d-01,-1.0703430767940d+00,
-     |  -1.0821385580934d+00,-7.9865730945266d-01,-2.9359827044921d-01,
-     |   2.9359827044920d-01, 7.9865730945266d-01, 1.0821385580934d+00,
-     |   1.0703430767940d+00, 7.7347904778658d-01, 2.7613892099949d-01,
-     |  -2.9437614483675d-01,-8.0887453734237d-01,-1.1715589849694d+00,
-     |  -1.3392377503027d+00,-1.3213650970172d+00,-1.1650394846202d+00,
-     |  -9.3328010616720d-01,-6.8507364264647d-01,-4.6273517899418d-01,
-     |  -2.8802633728940d-01,-1.6512796133035d-01,-8.7013559332458d-02,
-     |  -4.1993490988282d-02,-1.8467576046766d-02,-7.3513390190825d-03,
-     |  -2.6261748229526d-03,-8.3281827656423d-04,-2.3123159043264d-04,
-     |  -5.5228085617888d-05,-1.1091898734186d-05,-1.8180488827226d-06,
-     |  -2.3362781235147d-07,-2.2266683496182d-08,-1.4534491397660d-09,
-     |  -5.7627578751169d-11,-1.1442326101166d-12,-8.0954083842016d-15,
-     |  -1.0234885787453d-17,-3.8846492968674d-22,-1.1351175152138d-31/
-      data (pmn(lat,21,23), lat = 1,72)/
-     |   6.7755547950254d-34, 6.9664216243786d-24, 3.0680275940977d-19,
-     |   3.4123864694837d-16, 6.2380980366679d-14, 3.8687376784175d-12,
-     |   1.1636987937304d-10, 2.0793373346349d-09, 2.5037900544456d-08,
-     |   2.2092200376749d-07, 1.5143348110553d-06, 8.4125169629398d-06,
-     |   3.9090109867341d-05, 1.5564194384475d-04, 5.4108924533308d-04,
-     |   1.6670416343266d-03, 4.6059103247824d-03, 1.1521903317851d-02,
-     |   2.6297627381812d-02, 5.5103055264936d-02, 1.0651801570375d-01,
-     |   1.9066968474250d-01, 3.1688839365614d-01, 4.8975639446712d-01,
-     |   7.0415168384958d-01, 9.4079214391951d-01, 1.1644638144673d+00,
-     |   1.3270772187327d+00, 1.3766008970613d+00, 1.2708609915849d+00,
-     |   9.9280699013594d-01, 5.6215749399136d-01, 3.8352646046421d-02,
-     |  -4.8811686116888d-01,-9.1514884856091d-01,-1.1543035808175d+00,
-     |  -1.1543035808175d+00,-9.1514884856091d-01,-4.8811686116888d-01,
-     |   3.8352646046420d-02, 5.6215749399135d-01, 9.9280699013594d-01,
-     |   1.2708609915849d+00, 1.3766008970613d+00, 1.3270772187327d+00,
-     |   1.1644638144673d+00, 9.4079214391951d-01, 7.0415168384959d-01,
-     |   4.8975639446712d-01, 3.1688839365614d-01, 1.9066968474250d-01,
-     |   1.0651801570376d-01, 5.5103055264936d-02, 2.6297627381813d-02,
-     |   1.1521903317851d-02, 4.6059103247825d-03, 1.6670416343266d-03,
-     |   5.4108924533308d-04, 1.5564194384475d-04, 3.9090109867342d-05,
-     |   8.4125169629398d-06, 1.5143348110553d-06, 2.2092200376749d-07,
-     |   2.5037900544456d-08, 2.0793373346349d-09, 1.1636987937304d-10,
-     |   3.8687376784176d-12, 6.2380980366679d-14, 3.4123864694837d-16,
-     |   3.0680275940977d-19, 6.9664216243786d-24, 6.7755547950254d-34/
-      data (pmn(lat,22,23), lat = 1,72)/
-     |   3.1876778942447d-36, 9.8457798456666d-26, 7.2465450987849d-21,
-     |   1.1330285089490d-17, 2.6777699688166d-15, 2.0439039324084d-13,
-     |   7.3273591717175d-12, 1.5258562938157d-10, 2.1065700630587d-09,
-     |   2.1051634758978d-08, 1.6190957796957d-07, 1.0019503723041d-06,
-     |   5.1575267769954d-06, 2.2652547756786d-05, 8.6599850891460d-05,
-     |   2.9275942050565d-04, 8.8640106688081d-04, 2.4287224334763d-03,
-     |   6.0736158376996d-03, 1.3959940943804d-02, 2.9662021960377d-02,
-     |   5.8542089718212d-02, 1.0773894797831d-01, 1.8546441271818d-01,
-     |   2.9933812224057d-01, 4.5372984233628d-01, 6.4648930079169d-01,
-     |   8.6592021782115d-01, 1.0891987537208d+00, 1.2834217671169d+00,
-     |   1.4099546535180d+00, 1.4317782334993d+00, 1.3223836962245d+00,
-     |   1.0738684763545d+00, 7.0167029166815d-01, 2.4405758834321d-01,
-     |  -2.4405758834321d-01,-7.0167029166815d-01,-1.0738684763545d+00,
-     |  -1.3223836962245d+00,-1.4317782334993d+00,-1.4099546535180d+00,
-     |  -1.2834217671169d+00,-1.0891987537208d+00,-8.6592021782115d-01,
-     |  -6.4648930079169d-01,-4.5372984233628d-01,-2.9933812224057d-01,
-     |  -1.8546441271818d-01,-1.0773894797831d-01,-5.8542089718212d-02,
-     |  -2.9662021960377d-02,-1.3959940943804d-02,-6.0736158376997d-03,
-     |  -2.4287224334763d-03,-8.8640106688082d-04,-2.9275942050565d-04,
-     |  -8.6599850891459d-05,-2.2652547756786d-05,-5.1575267769955d-06,
-     |  -1.0019503723041d-06,-1.6190957796957d-07,-2.1051634758978d-08,
-     |  -2.1065700630588d-09,-1.5258562938157d-10,-7.3273591717175d-12,
-     |  -2.0439039324085d-13,-2.6777699688166d-15,-1.1330285089490d-17,
-     |  -7.2465450987849d-21,-9.8457798456666d-26,-3.1876778942447d-36/
-      data (pmn(lat,23,23), lat = 1,72)/
-     |   1.0255381153657d-38, 9.5148202285509d-28, 1.1701373472795d-22,
-     |   2.5712368366270d-19, 7.8533714095406d-17, 7.3741636224483d-15,
-     |   3.1489627305510d-13, 7.6368802260863d-12, 1.2078449393055d-10,
-     |   1.3657461387879d-09, 1.1772498242493d-08, 8.1047191581837d-08,
-     |   4.6144379353540d-07, 2.2316738559153d-06, 9.3622159268797d-06,
-     |   3.4643592492047d-05, 1.1461442813314d-04, 3.4280194794127d-04,
-     |   9.3545756274312d-04, 2.3470196606385d-03, 5.4491765353393d-03,
-     |   1.1771962777010d-02, 2.3773943587091d-02, 4.5063553934428d-02,
-     |   8.0447478961229d-02, 1.3565737810507d-01, 2.1663037688835d-01,
-     |   3.2831049973154d-01, 4.7309347488465d-01, 6.4921945947664d-01,
-     |   8.4956189120423d-01, 1.0612923987990d+00, 1.2667718696180d+00,
-     |   1.4457307571552d+00, 1.5784280527100d+00, 1.6491384156783d+00,
-     |   1.6491384156783d+00, 1.5784280527100d+00, 1.4457307571552d+00,
-     |   1.2667718696180d+00, 1.0612923987990d+00, 8.4956189120423d-01,
-     |   6.4921945947665d-01, 4.7309347488465d-01, 3.2831049973155d-01,
-     |   2.1663037688835d-01, 1.3565737810507d-01, 8.0447478961229d-02,
-     |   4.5063553934428d-02, 2.3773943587091d-02, 1.1771962777010d-02,
-     |   5.4491765353394d-03, 2.3470196606385d-03, 9.3545756274313d-04,
-     |   3.4280194794127d-04, 1.1461442813314d-04, 3.4643592492047d-05,
-     |   9.3622159268797d-06, 2.2316738559153d-06, 4.6144379353541d-07,
-     |   8.1047191581837d-08, 1.1772498242493d-08, 1.3657461387879d-09,
-     |   1.2078449393055d-10, 7.6368802260864d-12, 3.1489627305510d-13,
-     |   7.3741636224486d-15, 7.8533714095406d-17, 2.5712368366270d-19,
-     |   1.1701373472795d-22, 9.5148202285509d-28, 1.0255381153657d-38/
-      data (pmn(lat, 0,24), lat = 1,72)/
-     |   4.6026125067013d+00, 2.2446768377404d+00,-6.4554259680534d-01,
-     |  -1.9893086331108d+00,-1.1776723096031d+00, 5.7739925330746d-01,
-     |   1.4921975815044d+00, 8.3586706784900d-01,-5.5711741876169d-01,
-     |  -1.2537199121402d+00,-6.4366594967391d-01, 5.5476916354703d-01,
-     |   1.1073457132763d+00, 5.1161354662858d-01,-5.6080700951446d-01,
-     |  -1.0057713282897d+00,-4.1062379634561d-01, 5.7154638868409d-01,
-     |   9.2980370456701d-01, 3.2792066255433d-01,-5.8536073035450d-01,
-     |  -8.7001378565455d-01,-2.5681497140234d-01, 6.0150106450225d-01,
-     |   8.2117098733177d-01, 1.9335030477623d-01,-6.1965704157649d-01,
-     |  -7.8011915010310d-01,-1.3494800672176d-01, 6.3977499975326d-01,
-     |   7.4483433968508d-01, 7.9772966715055d-02,-6.6198175416565d-01,
-     |  -7.1396015814542d-01,-2.6397994083433d-02, 6.8656053262916d-01,
-     |   6.8656053262917d-01,-2.6397994083430d-02,-7.1396015814542d-01,
-     |  -6.6198175416565d-01, 7.9772966715052d-02, 7.4483433968508d-01,
-     |   6.3977499975326d-01,-1.3494800672175d-01,-7.8011915010310d-01,
-     |  -6.1965704157649d-01, 1.9335030477622d-01, 8.2117098733177d-01,
-     |   6.0150106450225d-01,-2.5681497140234d-01,-8.7001378565455d-01,
-     |  -5.8536073035451d-01, 3.2792066255433d-01, 9.2980370456701d-01,
-     |   5.7154638868410d-01,-4.1062379634560d-01,-1.0057713282897d+00,
-     |  -5.6080700951445d-01, 5.1161354662858d-01, 1.1073457132763d+00,
-     |   5.5476916354703d-01,-6.4366594967391d-01,-1.2537199121402d+00,
-     |  -5.5711741876170d-01, 8.3586706784899d-01, 1.4921975815044d+00,
-     |   5.7739925330748d-01,-1.1776723096031d+00,-1.9893086331108d+00,
-     |  -6.4554259680534d-01, 2.2446768377404d+00, 4.6026125067013d+00/
-      data (pmn(lat, 1,24), lat = 1,72)/
-     |   1.2759591313760d+00, 2.8234039149305d+00, 2.2299444139575d+00,
-     |   1.8359536255965d-01,-1.4906477385107d+00,-1.4861495801995d+00,
-     |  -1.0279148866546d-01, 1.1830021292129d+00, 1.1743762850620d+00,
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-     |   3.9994639318719d-02, 9.5631187402827d-01, 8.5773578850689d-01,
-     |  -9.6140139312733d-02,-9.0260645012614d-01,-7.5874279855769d-01,
-     |   1.4635413944854d-01, 8.6595738610129d-01, 6.7881703632515d-01,
-     |  -1.9266099364781d-01,-8.4027078394609d-01,-6.1144240770455d-01,
-     |   2.3648773928505d-01, 8.2223904717347d-01, 5.5270191831637d-01,
-     |  -2.7891626311893d-01,-8.0995113419008d-01,-5.0005012647968d-01,
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-      data (pmn(lat, 4,24), lat = 1,72)/
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-      data (pmn(lat, 5,24), lat = 1,72)/
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-      data (pmn(lat, 6,24), lat = 1,72)/
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-      data (pmn(lat, 7,24), lat = 1,72)/
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-      data (pmn(lat, 8,24), lat = 1,72)/
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-      data (pmn(lat, 9,24), lat = 1,72)/
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-      data (pmn(lat,10,24), lat = 1,72)/
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-     |   1.5862869133172d-05, 1.0583057542811d-07, 1.8820224984883d-12/
-      data (pmn(lat,11,24), lat = 1,72)/
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-     |  -1.7669493165886d-06,-7.0061245157296d-09,-4.1337084197798d-14/
-      data (pmn(lat,12,24), lat = 1,72)/
-     |   8.1330793340946d-16, 4.1519467252331d-10, 1.7594175152494d-07,
-     |   8.8291102699978d-06, 1.5284557419392d-04, 1.3789576795730d-03,
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-     |   1.3789576795730d-03, 1.5284557419392d-04, 8.8291102699978d-06,
-     |   1.7594175152494d-07, 4.1519467252331d-10, 8.1330793340946d-16/
-      data (pmn(lat,13,24), lat = 1,72)/
-     |   1.4386269916799d-17, 2.2109249865874d-11, 1.5724975304054d-08,
-     |   1.1166840255511d-06, 2.5223465698545d-05, 2.8349612561363d-04,
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-     |   8.4896600023734d-01, 1.2067923414352d+00, 1.4215066838766d+00,
-     |   1.3231951979214d+00, 8.3276161790099d-01, 5.8372498811167d-02,
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-     |  -1.5724975304054d-08,-2.2109249865874d-11,-1.4386269916799d-17/
-      data (pmn(lat,14,24), lat = 1,72)/
-     |   2.2926123906203d-19, 1.0602346355536d-12, 1.2645647969670d-09,
-     |   1.2690752291422d-07, 3.7331269778295d-06, 5.2136720612859d-05,
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-     |  -7.9718822731489d-01,-2.2204405827957d-01, 5.1505818549703d-01,
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-     |   5.2136720612860d-05, 3.7331269778295d-06, 1.2690752291422d-07,
-     |   1.2645647969670d-09, 1.0602346355536d-12, 2.2926123906203d-19/
-      data (pmn(lat,15,24), lat = 1,72)/
-     |   3.2936354904262d-21, 4.5818781159981d-14, 9.1580247794144d-11,
-     |   1.2974245164101d-08, 4.9626926249388d-07, 8.5947835269903d-06,
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-     |  -9.1487077896792d-01,-5.5136170485368d-01, 1.6924068309370d-01,
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-     |  -9.1580247794144d-11,-4.5818781159981d-14,-3.2936354904262d-21/
-      data (pmn(lat,16,24), lat = 1,72)/
-     |   4.2618233550813d-23, 1.7829435320530d-15, 5.9685056891554d-12,
-     |   1.1925984658140d-09, 5.9243750533203d-08, 1.2702712781967d-06,
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-     |   3.2467777233384d-03, 1.1804075641488d-02, 3.5699070162362d-02,
-     |   9.1755182223346d-02, 2.0343857242733d-01, 3.9287389213929d-01,
-     |   6.6399206249801d-01, 9.8153163332570d-01, 1.2589707373970d+00,
-     |   1.3720927150920d+00, 1.2066473740857d+00, 7.2758384643178d-01,
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-     |  -9.4402676472650d-01,-4.0458389357133d-01, 3.2578602193679d-01,
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-     |  -2.6721497847941d-01,-8.2377037570524d-01,-8.8068637524903d-01,
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-     |   3.2578602193679d-01,-4.0458389357133d-01,-9.4402676472649d-01,
-     |  -1.0329324887763d+00,-6.4515539728874d-01, 3.3832973203248d-02,
-     |   7.2758384643177d-01, 1.2066473740857d+00, 1.3720927150920d+00,
-     |   1.2589707373970d+00, 9.8153163332571d-01, 6.6399206249801d-01,
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-     |   7.2078535219829d-04, 1.2372590923332d-04, 1.5426053120011d-05,
-     |   1.2702712781967d-06, 5.9243750533203d-08, 1.1925984658140d-09,
-     |   5.9685056891554d-12, 1.7829435320530d-15, 4.2618233550813d-23/
-      data (pmn(lat,17,24), lat = 1,72)/
-     |   4.9540389266423d-25, 6.2312289206947d-17, 3.4919193919363d-13,
-     |   9.8338114295793d-11, 6.3378354384979d-09, 1.6801584018258d-07,
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-     |   7.9961870631032d-04, 3.3033392676570d-03, 1.1301075938169d-02,
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-     |   1.1747426712613d+00, 1.3479589647455d+00, 1.2944076603937d+00,
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-     |   3.5326639399728d-01, 8.6151321400180d-01, 8.8706743739637d-01,
-     |   4.1680918050883d-01,-2.8810994963268d-01,-8.4292746630996d-01,
-     |  -9.5224531375454d-01,-5.6330069344181d-01, 1.2017865529708d-01,
-     |   7.5873497425070d-01, 1.0546149618654d+00, 8.8719220433346d-01,
-     |   3.4419351645161d-01,-3.4909687120351d-01,-9.4898419916648d-01,
-     |  -1.2944076603937d+00,-1.3479589647455d+00,-1.1747426712613d+00,
-     |  -8.8689961843899d-01,-5.8880873251104d-01,-3.4570473653432d-01,
-     |  -1.7950632660855d-01,-8.2084413345025d-02,-3.2788366935482d-02,
-     |  -1.1301075938169d-02,-3.3033392676570d-03,-7.9961870631033d-04,
-     |  -1.5510981014833d-04,-2.3023384658160d-05,-2.4457666218484d-06,
-     |  -1.6801584018258d-07,-6.3378354384979d-09,-9.8338114295793d-11,
-     |  -3.4919193919363d-13,-6.2312289206947d-17,-4.9540389266423d-25/
-      data (pmn(lat,18,24), lat = 1,72)/
-     |   5.1490353304053d-27, 1.9468230551419d-18, 1.8255988642078d-14,
-     |   7.2414345955495d-12, 6.0498647779033d-10, 1.9807446352790d-08,
-     |   3.4513488644203d-07, 3.8065315305740d-06, 2.9592482773466d-05,
-     |   1.7412337359305d-04, 8.1465462558687d-04, 3.1396129157421d-03,
-     |   1.0228596257899d-02, 2.8717523496484d-02, 7.0480353278503d-02,
-     |   1.5278541955529d-01, 2.9461338152841d-01, 5.0733381007697d-01,
-     |   7.8067417141115d-01, 1.0695550166840d+00, 1.2914959994573d+00,
-     |   1.3440277266000d+00, 1.1439740924047d+00, 6.7687003253281d-01,
-     |   3.1972916007487d-02,-6.0393595938990d-01,-1.0061094055223d+00,
-     |  -1.0086836891909d+00,-5.9525674007472d-01, 6.8632417496678d-02,
-     |   6.9124672903326d-01, 9.8373896484796d-01, 8.0300714118335d-01,
-     |   2.3232472858275d-01,-4.4996356295748d-01,-9.0510828387870d-01,
-     |  -9.0510828387870d-01,-4.4996356295748d-01, 2.3232472858275d-01,
-     |   8.0300714118335d-01, 9.8373896484796d-01, 6.9124672903326d-01,
-     |   6.8632417496681d-02,-5.9525674007472d-01,-1.0086836891909d+00,
-     |  -1.0061094055223d+00,-6.0393595938990d-01, 3.1972916007483d-02,
-     |   6.7687003253281d-01, 1.1439740924047d+00, 1.3440277266000d+00,
-     |   1.2914959994573d+00, 1.0695550166840d+00, 7.8067417141115d-01,
-     |   5.0733381007698d-01, 2.9461338152841d-01, 1.5278541955529d-01,
-     |   7.0480353278502d-02, 2.8717523496484d-02, 1.0228596257900d-02,
-     |   3.1396129157421d-03, 8.1465462558687d-04, 1.7412337359305d-04,
-     |   2.9592482773467d-05, 3.8065315305741d-06, 3.4513488644203d-07,
-     |   1.9807446352791d-08, 6.0498647779033d-10, 7.2414345955495d-12,
-     |   1.8255988642078d-14, 1.9468230551419d-18, 5.1490353304053d-27/
-      data (pmn(lat,19,24), lat = 1,72)/
-     |   4.7493956461196d-29, 5.3969993317542d-20, 8.4658765601231d-16,
-     |   4.7274451185016d-13, 5.1160950445282d-11, 2.0667634643184d-09,
-     |   4.3056370250973d-08, 5.5556394681334d-07, 4.9750249192314d-06,
-     |   3.3339529606895d-05, 1.7618513340392d-04, 7.6241665668154d-04,
-     |   2.7779197809202d-03, 8.7024908964768d-03, 2.3815793944719d-02,
-     |   5.7625295534365d-02, 1.2438703912640d-01, 2.4104030588905d-01,
-     |   4.2094294635628d-01, 6.6331416464631d-01, 9.4137967089328d-01,
-     |   1.1956921043923d+00, 1.3405163826304d+00, 1.2879875175334d+00,
-     |   9.8638264881435d-01, 4.5827973422626d-01,-1.8226190291566d-01,
-     |  -7.5085817507818d-01,-1.0541927321087d+00,-9.7167695795886d-01,
-     |  -5.2071387702620d-01, 1.3101085355144d-01, 7.2194756715701d-01,
-     |   1.0039616032620d+00, 8.5355705112423d-01, 3.3284446033091d-01,
-     |  -3.3284446033091d-01,-8.5355705112423d-01,-1.0039616032620d+00,
-     |  -7.2194756715701d-01,-1.3101085355144d-01, 5.2071387702620d-01,
-     |   9.7167695795886d-01, 1.0541927321087d+00, 7.5085817507818d-01,
-     |   1.8226190291566d-01,-4.5827973422626d-01,-9.8638264881434d-01,
-     |  -1.2879875175334d+00,-1.3405163826304d+00,-1.1956921043923d+00,
-     |  -9.4137967089328d-01,-6.6331416464631d-01,-4.2094294635628d-01,
-     |  -2.4104030588905d-01,-1.2438703912640d-01,-5.7625295534366d-02,
-     |  -2.3815793944719d-02,-8.7024908964768d-03,-2.7779197809202d-03,
-     |  -7.6241665668154d-04,-1.7618513340392d-04,-3.3339529606895d-05,
-     |  -4.9750249192315d-06,-5.5556394681335d-07,-4.3056370250973d-08,
-     |  -2.0667634643184d-09,-5.1160950445282d-11,-4.7274451185016d-13,
-     |  -8.4658765601231d-16,-5.3969993317542d-20,-4.7493956461196d-29/
-      data (pmn(lat,20,24), lat = 1,72)/
-     |   3.8429801907166d-31, 1.3122999220906d-21, 3.4424449576352d-17,
-     |   2.7049776857999d-14, 3.7896771690877d-12, 1.8874746263427d-10,
-     |   4.6966107276428d-09, 7.0812383067607d-08, 7.2935260099701d-07,
-     |   5.5566598141462d-06, 3.3096285506773d-05, 1.6039400120485d-04,
-     |   6.5151174539209d-04, 2.2685339250486d-03, 6.8891352933380d-03,
-     |   1.8492541940327d-02, 4.4334391095015d-02, 9.5681360789048d-02,
-     |   1.8696869430502d-01, 3.3207155830058d-01, 5.3706160758883d-01,
-     |   7.9063361055101d-01, 1.0559198810082d+00, 1.2693509951357d+00,
-     |   1.3517750996747d+00, 1.2330166880619d+00, 8.8407949552219d-01,
-     |   3.4425546104522d-01,-2.7217914125535d-01,-7.9991683722493d-01,
-     |  -1.0750080255429d+00,-9.9855200254517d-01,-5.8491604277790d-01,
-     |   3.0101409377664d-02, 6.3060598071667d-01, 9.9877141049560d-01,
-     |   9.9877141049560d-01, 6.3060598071667d-01, 3.0101409377666d-02,
-     |  -5.8491604277790d-01,-9.9855200254517d-01,-1.0750080255429d+00,
-     |  -7.9991683722493d-01,-2.7217914125535d-01, 3.4425546104522d-01,
-     |   8.8407949552218d-01, 1.2330166880619d+00, 1.3517750996747d+00,
-     |   1.2693509951357d+00, 1.0559198810082d+00, 7.9063361055101d-01,
-     |   5.3706160758884d-01, 3.3207155830058d-01, 1.8696869430502d-01,
-     |   9.5681360789049d-02, 4.4334391095015d-02, 1.8492541940327d-02,
-     |   6.8891352933380d-03, 2.2685339250486d-03, 6.5151174539209d-04,
-     |   1.6039400120485d-04, 3.3096285506773d-05, 5.5566598141463d-06,
-     |   7.2935260099703d-07, 7.0812383067608d-08, 4.6966107276428d-09,
-     |   1.8874746263427d-10, 3.7896771690877d-12, 2.7049776857999d-14,
-     |   3.4424449576352d-17, 1.3122999220906d-21, 3.8429801907166d-31/
-      data (pmn(lat,21,24), lat = 1,72)/
-     |   2.6787170424544d-33, 2.7484561976587d-23, 1.2053914291406d-18,
-     |   1.3322956840835d-15, 2.4151182892915d-13, 1.4820094678382d-11,
-     |   4.4009405800320d-10, 7.7455265126631d-09, 9.1644465151572d-08,
-     |   7.9258653478733d-07, 5.3112039725612d-06, 2.8764766212916d-05,
-     |   1.2992420694668d-04, 5.0126965638159d-04, 1.6829013282925d-03,
-     |   4.9885133569759d-03, 1.3206919766284d-02, 3.1513400444844d-02,
-     |   6.8256019801040d-02, 1.3492572944520d-01, 2.4437118172575d-01,
-     |   4.0649345402979d-01, 6.2152651142429d-01, 8.7255110756471d-01,
-     |   1.1205644412898d+00, 1.3062270341355d+00, 1.3612848243810d+00,
-     |   1.2292389866956d+00, 8.8999309376824d-01, 3.7909689278094d-01,
-     |  -2.0860104332706d-01,-7.3702132481509d-01,-1.0665522871184d+00,
-     |  -1.1000926310228d+00,-8.2041431262562d-01,-3.0299841947575d-01,
-     |   3.0299841947575d-01, 8.2041431262562d-01, 1.1000926310228d+00,
-     |   1.0665522871184d+00, 7.3702132481509d-01, 2.0860104332706d-01,
-     |  -3.7909689278094d-01,-8.8999309376824d-01,-1.2292389866956d+00,
-     |  -1.3612848243810d+00,-1.3062270341355d+00,-1.1205644412898d+00,
-     |  -8.7255110756471d-01,-6.2152651142429d-01,-4.0649345402979d-01,
-     |  -2.4437118172575d-01,-1.3492572944520d-01,-6.8256019801040d-02,
-     |  -3.1513400444844d-02,-1.3206919766284d-02,-4.9885133569759d-03,
-     |  -1.6829013282925d-03,-5.0126965638159d-04,-1.2992420694668d-04,
-     |  -2.8764766212916d-05,-5.3112039725612d-06,-7.9258653478734d-07,
-     |  -9.1644465151573d-08,-7.7455265126631d-09,-4.4009405800320d-10,
-     |  -1.4820094678383d-11,-2.4151182892915d-13,-1.3322956840835d-15,
-     |  -1.2053914291406d-18,-2.7484561976587d-23,-2.6787170424544d-33/
-      data (pmn(lat,22,24), lat = 1,72)/
-     |   1.5605568776592d-35, 4.8105167840538d-25, 3.5264828282393d-20,
-     |   5.4808254892546d-17, 1.2849508711826d-14, 9.7091235150555d-13,
-     |   3.4383609151087d-11, 7.0575722482251d-10, 9.5824906782408d-09,
-     |   9.3958485141671d-08, 7.0731729834536d-07, 4.2733900178453d-06,
-     |   2.1418320113137d-05, 9.1335737535035d-05, 3.3798621340101d-04,
-     |   1.1023759716785d-03, 3.2088257291872d-03, 8.4199142558136d-03,
-     |   2.0078634783406d-02, 4.3798295188179d-02, 8.7846608323679d-02,
-     |   1.6265613596423d-01, 2.7883411546469d-01, 4.4332620700611d-01,
-     |   6.5411126370126d-01, 8.9484601291938d-01, 1.1318285168804d+00,
-     |   1.3159041867581d+00, 1.3909845064425d+00, 1.3086256485744d+00,
-     |   1.0452479689265d+00, 6.1628158286568d-01, 8.1110453971395d-02,
-     |  -4.6512671862427d-01,-9.1245544229761d-01,-1.1643150978472d+00,
-     |  -1.1643150978472d+00,-9.1245544229761d-01,-4.6512671862427d-01,
-     |   8.1110453971393d-02, 6.1628158286568d-01, 1.0452479689265d+00,
-     |   1.3086256485744d+00, 1.3909845064425d+00, 1.3159041867581d+00,
-     |   1.1318285168804d+00, 8.9484601291938d-01, 6.5411126370126d-01,
-     |   4.4332620700611d-01, 2.7883411546469d-01, 1.6265613596423d-01,
-     |   8.7846608323680d-02, 4.3798295188179d-02, 2.0078634783406d-02,
-     |   8.4199142558136d-03, 3.2088257291872d-03, 1.1023759716785d-03,
-     |   3.3798621340101d-04, 9.1335737535035d-05, 2.1418320113137d-05,
-     |   4.2733900178453d-06, 7.0731729834536d-07, 9.3958485141672d-08,
-     |   9.5824906782410d-09, 7.0575722482251d-10, 3.4383609151087d-11,
-     |   9.7091235150559d-13, 1.2849508711826d-14, 5.4808254892546d-17,
-     |   3.5264828282393d-20, 4.8105167840538d-25, 1.5605568776592d-35/
-      data (pmn(lat,23,24), lat = 1,72)/
-     |   7.1770584554600d-38, 6.6461137876495d-27, 8.1422771265768d-22,
-     |   1.7789180665333d-18, 5.3917297560119d-16, 5.0139847493194d-14,
-     |   2.1162128476525d-12, 5.0621143869985d-11, 7.8800469181427d-10,
-     |   8.7505818287693d-09, 7.3909029414036d-08, 4.9739368934324d-07,
-     |   2.7614564371924d-06, 1.2988982970345d-05, 5.2850759627535d-05,
-     |   1.8912600156198d-04, 6.0320182707352d-04, 1.7333944132166d-03,
-     |   4.5281678243699d-03, 1.0832483138397d-02, 2.3875372482804d-02,
-     |   4.8726126191560d-02, 9.2456667649324d-02, 1.6364436689199d-01,
-     |   2.7086033707761d-01, 4.1999806856445d-01, 6.1073017050242d-01,
-     |   8.3294549429450d-01, 1.0644963952374d+00, 1.2716930886456d+00,
-     |   1.4135021333803d+00, 1.4493351308447d+00, 1.3489393843549d+00,
-     |   1.1017453258620d+00, 7.2263893738315d-01, 2.5183035460871d-01,
-     |  -2.5183035460871d-01,-7.2263893738315d-01,-1.1017453258620d+00,
-     |  -1.3489393843549d+00,-1.4493351308447d+00,-1.4135021333803d+00,
-     |  -1.2716930886456d+00,-1.0644963952374d+00,-8.3294549429450d-01,
-     |  -6.1073017050242d-01,-4.1999806856445d-01,-2.7086033707761d-01,
-     |  -1.6364436689199d-01,-9.2456667649324d-02,-4.8726126191560d-02,
-     |  -2.3875372482805d-02,-1.0832483138397d-02,-4.5281678243699d-03,
-     |  -1.7333944132166d-03,-6.0320182707353d-04,-1.8912600156198d-04,
-     |  -5.2850759627534d-05,-1.2988982970345d-05,-2.7614564371924d-06,
-     |  -4.9739368934324d-07,-7.3909029414036d-08,-8.7505818287695d-09,
-     |  -7.8800469181428d-10,-5.0621143869986d-11,-2.1162128476525d-12,
-     |  -5.0139847493196d-14,-5.3917297560119d-16,-1.7789180665333d-18,
-     |  -8.1422771265768d-22,-6.6461137876495d-27,-7.1770584554600d-38/
-      data (pmn(lat,24,24), lat = 1,72)/
-     |   2.2603836433736d-40, 6.2874788372703d-29, 1.2870932670168d-23,
-     |   3.9519868124290d-20, 1.5479940388484d-17, 1.7708981993644d-15,
-     |   8.9030268711209d-14, 2.4802336629087d-12, 4.4230553732580d-11,
-     |   5.5574988609797d-10, 5.2608011899350d-09, 3.9386766417416d-08,
-     |   2.4186543695623d-07, 1.2527001100597d-06, 5.5933376902180d-06,
-     |   2.1908950829784d-05, 7.6353678897013d-05, 2.3950858580355d-04,
-     |   6.8274351405611d-04, 1.7828691304334d-03, 4.2937680362520d-03,
-     |   9.5918160644745d-03, 1.9972159736331d-02, 3.8924604459394d-02,
-     |   7.1261362323237d-02, 1.2292824040581d-01, 2.0033908485504d-01,
-     |   3.0915891379540d-01, 4.5262893622218d-01, 6.2974211173247d-01,
-     |   8.3376688715117d-01, 1.0516867791610d+00, 1.2650032942188d+00,
-     |   1.4520308402084d+00, 1.5913706993219d+00, 1.6658318721546d+00,
-     |   1.6658318721546d+00, 1.5913706993219d+00, 1.4520308402084d+00,
-     |   1.2650032942188d+00, 1.0516867791610d+00, 8.3376688715117d-01,
-     |   6.2974211173248d-01, 4.5262893622218d-01, 3.0915891379540d-01,
-     |   2.0033908485504d-01, 1.2292824040581d-01, 7.1261362323237d-02,
-     |   3.8924604459395d-02, 1.9972159736331d-02, 9.5918160644745d-03,
-     |   4.2937680362521d-03, 1.7828691304334d-03, 6.8274351405611d-04,
-     |   2.3950858580355d-04, 7.6353678897014d-05, 2.1908950829785d-05,
-     |   5.5933376902180d-06, 1.2527001100597d-06, 2.4186543695624d-07,
-     |   3.9386766417416d-08, 5.2608011899350d-09, 5.5574988609798d-10,
-     |   4.4230553732581d-11, 2.4802336629087d-12, 8.9030268711209d-14,
-     |   1.7708981993645d-15, 1.5479940388484d-17, 3.9519868124290d-20,
-     |   1.2870932670168d-23, 6.2874788372703d-29, 2.2603836433736d-40/
-      data (pmn(lat, 0,25), lat = 1,72)/
-     |   4.6666630067160d+00, 2.1005412348200d+00,-8.9733874200297d-01,
-     |  -2.0337981695880d+00,-8.8768801460650d-01, 9.2527625909659d-01,
-     |   1.4902803852111d+00, 4.2739105048718d-01,-9.5519340251061d-01,
-     |  -1.1808210524569d+00,-1.2934621517710d-01, 9.7112748179845d-01,
-     |   9.4507015742351d-01,-9.7095764484823d-02,-9.6837766122044d-01,
-     |  -7.4008142115838d-01, 2.7992604509549d-01, 9.4567240587734d-01,
-     |   5.5028423875679d-01,-4.3021394133410d-01,-9.0297635563903d-01,
-     |  -3.6953448603900d-01, 5.5281295376703d-01, 8.4086316625814d-01,
-     |   1.9570361702825d-01,-6.4989829276932d-01,-7.6029492598601d-01,
-     |  -2.8611421222711d-02, 7.2240000154485d-01, 6.6252175504493d-01,
-     |  -1.3090449968859d-01,-7.7066571241289d-01,-5.4901713597604d-01,
-     |   2.8146473369558d-01, 7.9479212537616d-01, 4.2141925647330d-01,
-     |  -4.2141925647330d-01,-7.9479212537616d-01,-2.8146473369558d-01,
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-      data (pmn(lat, 4,25), lat = 1,72)/
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-      data (pmn(lat, 5,25), lat = 1,72)/
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-      data (pmn(lat, 6,25), lat = 1,72)/
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-      data (pmn(lat, 7,25), lat = 1,72)/
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-      data (pmn(lat, 8,25), lat = 1,72)/
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-      data (pmn(lat, 9,25), lat = 1,72)/
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-      data (pmn(lat,10,25), lat = 1,72)/
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-      data (pmn(lat,11,25), lat = 1,72)/
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-     |   9.9820863842253d-05, 1.2990808009479d-03, 9.1736817676151d-03,
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-     |   2.8546575006649d-06, 1.1410545203277d-08, 6.7592529951748d-14/
-      data (pmn(lat,12,25), lat = 1,72)/
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-     |   1.4852769121097d-05, 2.5319053849847d-04, 2.2393157537842d-03,
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-     |  -2.9934255012795d-07,-7.1166083223362d-10,-1.3991761993335d-15/
-      data (pmn(lat,13,25), lat = 1,72)/
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-     |   2.8244012877056d-08, 3.9984929248512d-11, 2.6106689662991d-17/
-      data (pmn(lat,14,25), lat = 1,72)/
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-     |  -2.4050681036575d-09,-2.0294146357716d-12,-4.4023172755482d-19/
-      data (pmn(lat,15,25), lat = 1,72)/
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-     |   1.8512155965305d-10, 9.3175984948965d-14, 6.7178615210439d-21/
-      data (pmn(lat,16,25), lat = 1,72)/
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-     |  -9.5369758484639d-01,-5.2013050365956d-01, 2.4057126416560d-01,
-     |   8.8379753858086d-01, 1.0596707455734d+00, 6.9255019110054d-01,
-     |  -2.0674051270180d-02,-7.5761881944500d-01,-1.2498290495297d+00,
-     |  -1.3903830551687d+00,-1.2334737971786d+00,-9.1945787189522d-01,
-     |  -5.8780362259281d-01,-3.2446603857298d-01,-1.5444763931393d-01,
-     |  -6.2923683747908d-02,-2.1647330238342d-02,-6.1613557795801d-03,
-     |  -1.4087208612377d-03,-2.4799683883381d-04,-3.1589971293855d-05,
-     |  -2.6483329098892d-06,-1.2533508722819d-07,-2.5522678147433d-09,
-     |  -1.2882596222329d-11,-3.8701231959223d-15,-9.2768629989895d-23/
-      data (pmn(lat,17,25), lat = 1,72)/
-     |   1.1576640321271d-24, 1.4522665329924d-16, 8.0951622895802d-13,
-     |   2.2614668203620d-10, 1.4417899990214d-08, 3.7700238188391d-07,
-     |   5.3966094905538d-06, 4.9795192541289d-05, 3.2769363021880d-04,
-     |   1.6439523508195d-03, 6.5816420424753d-03, 2.1719523976050d-02,
-     |   6.0461226332322d-02, 1.4431584851235d-01, 2.9862101503062d-01,
-     |   5.3897180564251d-01, 8.4944603795716d-01, 1.1628049970766d+00,
-     |   1.3607669466762d+00, 1.3101786104465d+00, 9.3270712810404d-01,
-     |   2.7735344582194d-01,-4.5435484356402d-01,-9.6962182583824d-01,
-     |  -1.0242656601551d+00,-5.7344389538486d-01, 1.6451726863388d-01,
-     |   7.9533245814536d-01, 9.6117358071711d-01, 5.6000535790261d-01,
-     |  -1.7242244617467d-01,-7.8936719299999d-01,-9.0561941638547d-01,
-     |  -4.4613835101695d-01, 2.9677436386360d-01, 8.4553702817762d-01,
-     |   8.4553702817762d-01, 2.9677436386360d-01,-4.4613835101694d-01,
-     |  -9.0561941638547d-01,-7.8936719299999d-01,-1.7242244617467d-01,
-     |   5.6000535790260d-01, 9.6117358071711d-01, 7.9533245814536d-01,
-     |   1.6451726863389d-01,-5.7344389538486d-01,-1.0242656601551d+00,
-     |  -9.6962182583824d-01,-4.5435484356402d-01, 2.7735344582194d-01,
-     |   9.3270712810404d-01, 1.3101786104465d+00, 1.3607669466762d+00,
-     |   1.1628049970766d+00, 8.4944603795717d-01, 5.3897180564251d-01,
-     |   2.9862101503062d-01, 1.4431584851235d-01, 6.0461226332322d-02,
-     |   2.1719523976050d-02, 6.5816420424753d-03, 1.6439523508195d-03,
-     |   3.2769363021881d-04, 4.9795192541290d-05, 5.3966094905538d-06,
-     |   3.7700238188392d-07, 1.4417899990214d-08, 2.2614668203620d-10,
-     |   8.0951622895802d-13, 1.4522665329924d-16, 1.1576640321271d-24/
-      data (pmn(lat,18,25), lat = 1,72)/
-     |   1.3015537652955d-26, 4.9087737251232d-18, 4.5799836132418d-14,
-     |   1.8029328438361d-11, 1.4909201993749d-09, 4.8184901671921d-08,
-     |   8.2644802092669d-07, 8.9455488971377d-06, 6.8035492285207d-05,
-     |   3.9031117549787d-04, 1.7738648015333d-03, 6.6136836722645d-03,
-     |   2.0749898399480d-02, 5.5809544793445d-02, 1.3041793808672d-01,
-     |   2.6722170077055d-01, 4.8261559185566d-01, 7.6922778524576d-01,
-     |   1.0778251622077d+00, 1.3121126335801d+00, 1.3505869001343d+00,
-     |   1.0987668561652d+00, 5.5427593722373d-01,-1.5215014889944d-01,
-     |  -7.7792865340165d-01,-1.0636298409002d+00,-8.6701663540766d-01,
-     |  -2.6341801334294d-01, 4.5905850055612d-01, 9.2967014993494d-01,
-     |   8.9317315993502d-01, 3.6390953577716d-01,-3.6508309536229d-01,
-     |  -8.7867770852067d-01,-8.7889307041100d-01,-3.6423112115456d-01,
-     |   3.6423112115456d-01, 8.7889307041100d-01, 8.7867770852067d-01,
-     |   3.6508309536229d-01,-3.6390953577715d-01,-8.9317315993502d-01,
-     |  -9.2967014993494d-01,-4.5905850055612d-01, 2.6341801334293d-01,
-     |   8.6701663540766d-01, 1.0636298409002d+00, 7.7792865340166d-01,
-     |   1.5215014889944d-01,-5.5427593722373d-01,-1.0987668561652d+00,
-     |  -1.3505869001343d+00,-1.3121126335801d+00,-1.0778251622077d+00,
-     |  -7.6922778524576d-01,-4.8261559185566d-01,-2.6722170077055d-01,
-     |  -1.3041793808672d-01,-5.5809544793445d-02,-2.0749898399480d-02,
-     |  -6.6136836722645d-03,-1.7738648015333d-03,-3.9031117549787d-04,
-     |  -6.8035492285208d-05,-8.9455488971378d-06,-8.2644802092669d-07,
-     |  -4.8184901671923d-08,-1.4909201993749d-09,-1.8029328438361d-11,
-     |  -4.5799836132418d-14,-4.9087737251232d-18,-1.3015537652955d-26/
-      data (pmn(lat,19,25), lat = 1,72)/
-     |   1.3117373942849d-28, 1.4870510822116d-19, 2.3214975999283d-15,
-     |   1.2870305174632d-12, 1.3793924325688d-10, 5.5044853191665d-09,
-     |   1.1297677326238d-07, 1.4322168920883d-06, 1.2563913899278d-05,
-     |   8.2223272255278d-05, 4.2292118440528d-04, 1.7748429066749d-03,
-     |   6.2463603902587d-03, 1.8816923356735d-02, 4.9267421827692d-02,
-     |   1.1337996908135d-01, 2.3114378778213d-01, 4.1942221142339d-01,
-     |   6.7841218553129d-01, 9.7577120131418d-01, 1.2378079284274d+00,
-     |   1.3595058479923d+00, 1.2398807715056d+00, 8.3533299865532d-01,
-     |   2.0700893584492d-01,-4.6992048538689d-01,-9.5642627313338d-01,
-     |  -1.0506581360877d+00,-6.9614283208205d-01,-3.5982090899458d-02,
-     |   6.3054677073048d-01, 9.8270941635438d-01, 8.4181755200416d-01,
-     |   2.7409357813234d-01,-4.3180514215893d-01,-9.0988902002316d-01,
-     |  -9.0988902002316d-01,-4.3180514215893d-01, 2.7409357813234d-01,
-     |   8.4181755200415d-01, 9.8270941635438d-01, 6.3054677073048d-01,
-     |  -3.5982090899456d-02,-6.9614283208204d-01,-1.0506581360877d+00,
-     |  -9.5642627313338d-01,-4.6992048538690d-01, 2.0700893584492d-01,
-     |   8.3533299865531d-01, 1.2398807715056d+00, 1.3595058479923d+00,
-     |   1.2378079284274d+00, 9.7577120131418d-01, 6.7841218553130d-01,
-     |   4.1942221142339d-01, 2.3114378778213d-01, 1.1337996908135d-01,
-     |   4.9267421827692d-02, 1.8816923356735d-02, 6.2463603902588d-03,
-     |   1.7748429066749d-03, 4.2292118440528d-04, 8.2223272255279d-05,
-     |   1.2563913899278d-05, 1.4322168920883d-06, 1.1297677326238d-07,
-     |   5.5044853191667d-09, 1.3793924325688d-10, 1.2870305174632d-12,
-     |   2.3214975999283d-15, 1.4870510822116d-19, 1.3117373942849d-28/
-      data (pmn(lat,20,25), lat = 1,72)/
-     |   1.1758539759646d-30, 4.0062013361142d-21, 1.0461392165061d-16,
-     |   8.1640400082725d-14, 1.1332871896709d-11, 5.5791329076290d-10,
-     |   1.3687865335312d-08, 2.0295558630938d-07, 2.0501799409447d-06,
-     |   1.5275221592602d-05, 8.8705093506090d-05, 4.1776362950295d-04,
-     |   1.6432119787299d-03, 5.5188567076291d-03, 1.6095820005634d-02,
-     |   4.1291081538017d-02, 9.4071458900616d-02, 1.9165452271521d-01,
-     |   3.5071915204002d-01, 5.7755487854483d-01, 8.5494866127109d-01,
-     |   1.1317344899152d+00, 1.3239091333965d+00, 1.3347475067736d+00,
-     |   1.0935106882496d+00, 6.0009339720603d-01,-4.7210630943519d-02,
-     |  -6.6353663998952d-01,-1.0367884507478d+00,-1.0171927352240d+00,
-     |  -5.9713689623139d-01, 6.3376959594057d-02, 6.8956874155998d-01,
-     |   1.0078959302046d+00, 8.7325443798526d-01, 3.4310460608701d-01,
-     |  -3.4310460608700d-01,-8.7325443798526d-01,-1.0078959302046d+00,
-     |  -6.8956874155998d-01,-6.3376959594060d-02, 5.9713689623139d-01,
-     |   1.0171927352240d+00, 1.0367884507478d+00, 6.6353663998953d-01,
-     |   4.7210630943521d-02,-6.0009339720602d-01,-1.0935106882496d+00,
-     |  -1.3347475067736d+00,-1.3239091333965d+00,-1.1317344899152d+00,
-     |  -8.5494866127109d-01,-5.7755487854483d-01,-3.5071915204002d-01,
-     |  -1.9165452271521d-01,-9.4071458900616d-02,-4.1291081538017d-02,
-     |  -1.6095820005634d-02,-5.5188567076291d-03,-1.6432119787300d-03,
-     |  -4.1776362950295d-04,-8.8705093506090d-05,-1.5275221592602d-05,
-     |  -2.0501799409447d-06,-2.0295558630938d-07,-1.3687865335312d-08,
-     |  -5.5791329076292d-10,-1.1332871896709d-11,-8.1640400082725d-14,
-     |  -1.0461392165061d-16,-4.0062013361142d-21,-1.1758539759646d-30/
-      data (pmn(lat,21,25), lat = 1,72)/
-     |   9.2649983761144d-33, 9.4856409618161d-23, 4.1420903137929d-18,
-     |   4.5483051647887d-15, 8.1728395798809d-13, 4.9599525095640d-11,
-     |   1.4532564182241d-09, 2.5174495353988d-08, 2.9243440165113d-07,
-     |   2.4764381676850d-06, 1.6203697531882d-05, 8.5433085509343d-05,
-     |   3.7446261092466d-04, 1.3971288777566d-03, 4.5187868942341d-03,
-     |   1.2850128937610d-02, 3.2483562393765d-02, 7.3612369817657d-02,
-     |   1.5048197888275d-01, 2.7868876894338d-01, 4.6865427926452d-01,
-     |   7.1568641103898d-01, 9.8979550402153d-01, 1.2311863186444d+00,
-     |   1.3580149454496d+00, 1.2896766014202d+00, 9.8147203194806d-01,
-     |   4.5778566509415d-01,-1.7400366483882d-01,-7.4299912969290d-01,
-     |  -1.0685708589308d+00,-1.0314889857360d+00,-6.3215351000279d-01,
-     |  -5.8364931447685d-03, 6.1881059268554d-01, 1.0055858830073d+00,
-     |   1.0055858830073d+00, 6.1881059268554d-01,-5.8364931447664d-03,
-     |  -6.3215351000279d-01,-1.0314889857360d+00,-1.0685708589308d+00,
-     |  -7.4299912969290d-01,-1.7400366483882d-01, 4.5778566509415d-01,
-     |   9.8147203194806d-01, 1.2896766014202d+00, 1.3580149454496d+00,
-     |   1.2311863186444d+00, 9.8979550402153d-01, 7.1568641103898d-01,
-     |   4.6865427926452d-01, 2.7868876894338d-01, 1.5048197888275d-01,
-     |   7.3612369817657d-02, 3.2483562393765d-02, 1.2850128937610d-02,
-     |   4.5187868942341d-03, 1.3971288777566d-03, 3.7446261092467d-04,
-     |   8.5433085509343d-05, 1.6203697531882d-05, 2.4764381676851d-06,
-     |   2.9243440165114d-07, 2.5174495353988d-08, 1.4532564182241d-09,
-     |   4.9599525095642d-11, 8.1728395798809d-13, 4.5483051647887d-15,
-     |   4.1420903137929d-18, 9.4856409618161d-23, 9.2649983761144d-33/
-      data (pmn(lat,22,25), lat = 1,72)/
-     |   6.3000297265919d-35, 1.9380059069300d-24, 1.4148210923072d-19,
-     |   2.1851908264221d-16, 5.0802773465771d-14, 3.7983413988805d-12,
-     |   1.3280378811040d-10, 2.6851086102346d-09, 3.5826048265674d-08,
-     |   3.4434470249521d-07, 2.5344240880809d-06, 1.4929780905445d-05,
-     |   7.2747131427698d-05, 3.0065264879788d-04, 1.0746170771359d-03,
-     |   3.3730370706287d-03, 9.4106733530957d-03, 2.3562127062518d-02,
-     |   5.3342626801929d-02, 1.0982854970340d-01, 2.0652471608238d-01,
-     |   3.5565109587053d-01, 5.6151113383074d-01, 8.1216490554918d-01,
-     |   1.0726513843472d+00, 1.2844181169401d+00, 1.3750708736144d+00,
-     |   1.2792361184649d+00, 9.6583712029918d-01, 4.6171978601579d-01,
-     |  -1.4047023775666d-01,-6.9858738624299d-01,-1.0607544655584d+00,
-     |  -1.1167675363866d+00,-8.4164696152740d-01,-3.1228794543278d-01,
-     |   3.1228794543278d-01, 8.4164696152740d-01, 1.1167675363866d+00,
-     |   1.0607544655584d+00, 6.9858738624299d-01, 1.4047023775665d-01,
-     |  -4.6171978601579d-01,-9.6583712029918d-01,-1.2792361184649d+00,
-     |  -1.3750708736144d+00,-1.2844181169401d+00,-1.0726513843472d+00,
-     |  -8.1216490554918d-01,-5.6151113383074d-01,-3.5565109587053d-01,
-     |  -2.0652471608238d-01,-1.0982854970340d-01,-5.3342626801929d-02,
-     |  -2.3562127062518d-02,-9.4106733530958d-03,-3.3730370706287d-03,
-     |  -1.0746170771359d-03,-3.0065264879788d-04,-7.2747131427699d-05,
-     |  -1.4929780905445d-05,-2.5344240880809d-06,-3.4434470249521d-07,
-     |  -3.5826048265675d-08,-2.6851086102347d-09,-1.3280378811040d-10,
-     |  -3.7983413988807d-12,-5.0802773465771d-14,-2.1851908264221d-16,
-     |  -1.4148210923072d-19,-1.9380059069300d-24,-6.3000297265919d-35/
-      data (pmn(lat,23,25), lat = 1,72)/
-     |   3.5861750268275d-37, 3.3142916000164d-26, 4.0442781133782d-21,
-     |   8.7831448703969d-18, 2.6408065621357d-15, 2.4311165512642d-13,
-     |   1.0136229818644d-11, 2.3900045861997d-10, 3.6590691976529d-09,
-     |   3.9869723847637d-08, 3.2962112939869d-07, 2.1658351400683d-06,
-     |   1.1708674894191d-05, 5.3475615064856d-05, 2.1063311787997d-04,
-     |   7.2728839457474d-04, 2.2303125621194d-03, 6.1386728337029d-03,
-     |   1.5294260740617d-02, 3.4730204385415d-02, 7.2274587346548d-02,
-     |   1.3842216021515d-01, 2.4474638002475d-01, 4.0029243926009d-01,
-     |   6.0606766880041d-01, 8.4888848383669d-01, 1.0970618969159d+00,
-     |   1.3009782379769d+00, 1.4009624250208d+00, 1.3424140649710d+00,
-     |   1.0949250096507d+00, 6.6907724205038d-01, 1.2366335167731d-01,
-     |  -4.4178627121477d-01,-9.0932828761716d-01,-1.1739767872589d+00,
-     |  -1.1739767872589d+00,-9.0932828761716d-01,-4.4178627121477d-01,
-     |   1.2366335167731d-01, 6.6907724205038d-01, 1.0949250096507d+00,
-     |   1.3424140649710d+00, 1.4009624250208d+00, 1.3009782379769d+00,
-     |   1.0970618969159d+00, 8.4888848383669d-01, 6.0606766880042d-01,
-     |   4.0029243926009d-01, 2.4474638002475d-01, 1.3842216021515d-01,
-     |   7.2274587346549d-02, 3.4730204385415d-02, 1.5294260740617d-02,
-     |   6.1386728337029d-03, 2.2303125621194d-03, 7.2728839457475d-04,
-     |   2.1063311787997d-04, 5.3475615064856d-05, 1.1708674894191d-05,
-     |   2.1658351400683d-06, 3.2962112939869d-07, 3.9869723847638d-08,
-     |   3.6590691976530d-09, 2.3900045861997d-10, 1.0136229818644d-11,
-     |   2.4311165512643d-13, 2.6408065621357d-15, 8.7831448703969d-18,
-     |   4.0442781133782d-21, 3.3142916000164d-26, 3.5861750268275d-37/
-      data (pmn(lat,24,25), lat = 1,72)/
-     |   1.6138526563749d-39, 4.4805442382615d-28, 9.1370521837385d-23,
-     |   2.7894359848675d-19, 1.0842472050928d-16, 1.2284313274321d-14,
-     |   6.1040285787873d-13, 1.6772415821557d-11, 2.9439270480031d-10,
-     |   3.6327321659931d-09, 3.3695181697529d-08, 2.4660374972712d-07,
-     |   1.4766591021175d-06, 7.4383838399424d-06, 3.2212962617785d-05,
-     |   1.2202166543598d-04, 4.0995894962035d-04, 1.2355554646660d-03,
-     |   3.3716544218951d-03, 8.3949440789077d-03, 1.9193090215729d-02,
-     |   4.0504278029417d-02, 7.9240843065480d-02, 1.4420717760923d-01,
-     |   2.4477899333378d-01, 3.8827782427365d-01, 5.7621260342857d-01,
-     |   8.0020384144580d-01, 1.0390264412065d+00, 1.2584633333710d+00,
-     |   1.4152499119639d+00, 1.4652348108560d+00, 1.3742720963681d+00,
-     |   1.1289031499144d+00, 7.4328432352919d-01, 2.5951901474901d-01,
-     |  -2.5951901474901d-01,-7.4328432352918d-01,-1.1289031499144d+00,
-     |  -1.3742720963681d+00,-1.4652348108560d+00,-1.4152499119639d+00,
-     |  -1.2584633333710d+00,-1.0390264412065d+00,-8.0020384144580d-01,
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-      data (pmn(lat,25,25), lat = 1,72)/
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-      data (pmn(lat, 0,26), lat = 1,72)/
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-      data (pmn(lat, 1,26), lat = 1,72)/
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-      data (pmn(lat, 2,26), lat = 1,72)/
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-      data (pmn(lat, 3,26), lat = 1,72)/
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-      data (pmn(lat, 4,26), lat = 1,72)/
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-      data (pmn(lat, 5,26), lat = 1,72)/
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-      data (pmn(lat, 6,26), lat = 1,72)/
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-      data (pmn(lat, 7,26), lat = 1,72)/
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-      data (pmn(lat, 8,26), lat = 1,72)/
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-      data (pmn(lat, 9,26), lat = 1,72)/
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-      data (pmn(lat,10,26), lat = 1,72)/
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-      data (pmn(lat,11,26), lat = 1,72)/
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-      data (pmn(lat,12,26), lat = 1,72)/
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-      data (pmn(lat,13,26), lat = 1,72)/
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-      data (pmn(lat,14,26), lat = 1,72)/
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-      data (pmn(lat,15,26), lat = 1,72)/
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-      data (pmn(lat,16,26), lat = 1,72)/
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-      data (pmn(lat,17,26), lat = 1,72)/
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-      data (pmn(lat,18,26), lat = 1,72)/
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-      data (pmn(lat,19,26), lat = 1,72)/
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-      data (pmn(lat,20,26), lat = 1,72)/
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-      data (pmn(lat,21,26), lat = 1,72)/
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-      data (pmn(lat,22,26), lat = 1,72)/
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-     |   2.9503970205353d-03, 8.5655609073061d-04, 2.1426193304147d-04,
-     |   4.5303628135664d-05, 7.8982982514807d-06, 1.0988510556397d-06,
-     |   1.1674225849562d-07, 8.9110789451122d-09, 4.4773967118401d-10,
-     |   1.2977943060589d-11, 1.7550146717454d-13, 7.6151148671690d-16,
-     |   4.9626764686979d-19, 6.8272529660540d-24, 2.2241763577609d-34/
-      data (pmn(lat,23,26), lat = 1,72)/
-     |   1.4770995401058d-36, 1.3622987847119d-25, 1.6554845094887d-20,
-     |   3.5729507198071d-17, 1.0653287164564d-14, 9.7046976922164d-13,
-     |   3.9950083148675d-11, 9.2792253854756d-10, 1.3961322580105d-08,
-     |   1.4913185069869d-07, 1.2055641533985d-06, 7.7243902847679d-06,
-     |   4.0602441676679d-05, 1.7974632993193d-04, 6.8397371746256d-04,
-     |   2.2732584835010d-03, 6.6834721683871d-03, 1.7558090063893d-02,
-     |   4.1545922175967d-02, 8.9089734832361d-02, 1.7392008294705d-01,
-     |   3.1002973936533d-01, 5.0536243468493d-01, 7.5293358373812d-01,
-     |   1.0223827481282d+00, 1.2569898892346d+00, 1.3813492988109d+00,
-     |   1.3218824694329d+00, 1.0363683120085d+00, 5.4200063998643d-01,
-     |  -7.2022427384544d-02,-6.5838052312370d-01,-1.0530610482133d+00,
-     |  -1.1322121676515d+00,-8.6237432114722d-01,-3.2147206523963d-01,
-     |   3.2147206523963d-01, 8.6237432114722d-01, 1.1322121676515d+00,
-     |   1.0530610482133d+00, 6.5838052312370d-01, 7.2022427384543d-02,
-     |  -5.4200063998643d-01,-1.0363683120085d+00,-1.3218824694329d+00,
-     |  -1.3813492988109d+00,-1.2569898892346d+00,-1.0223827481282d+00,
-     |  -7.5293358373812d-01,-5.0536243468493d-01,-3.1002973936533d-01,
-     |  -1.7392008294705d-01,-8.9089734832362d-02,-4.1545922175967d-02,
-     |  -1.7558090063893d-02,-6.6834721683872d-03,-2.2732584835010d-03,
-     |  -6.8397371746256d-04,-1.7974632993193d-04,-4.0602441676679d-05,
-     |  -7.7243902847679d-06,-1.2055641533985d-06,-1.4913185069869d-07,
-     |  -1.3961322580105d-08,-9.2792253854757d-10,-3.9950083148675d-11,
-     |  -9.7046976922168d-13,-1.0653287164564d-14,-3.5729507198071d-17,
-     |  -1.6554845094887d-20,-1.3622987847119d-25,-1.4770995401058d-36/
-      data (pmn(lat,24,26), lat = 1,72)/
-     |   8.2239267676188d-39, 2.2786910697844d-27, 4.6284519848680d-22,
-     |   1.4045889887750d-18, 5.4160329603469d-16, 6.0747097719799d-14,
-     |   2.9819107649527d-12, 8.0767080384568d-11, 1.3942926742309d-09,
-     |   1.6882634037387d-08, 1.5328652618958d-07, 1.0953794417493d-06,
-     |   6.3872549885262d-06, 3.1242981753817d-05, 1.3098845100070d-04,
-     |   4.7880510995119d-04, 1.5468792669381d-03, 4.4658846973768d-03,
-     |   1.1624737015614d-02, 2.7479619390433d-02, 5.9332246748718d-02,
-     |   1.1753698705082d-01, 2.1434175265849d-01, 3.6060682244220d-01,
-     |   5.6023464966997d-01, 8.0334237877245d-01, 1.0606799192079d+00,
-     |   1.2827764328223d+00, 1.4068773314914d+00, 1.3724058606190d+00,
-     |   1.1418867455699d+00, 7.2052186527515d-01, 1.6596907319116d-01,
-     |  -4.1813177079380d-01,-9.0579387680633d-01,-1.1833101899214d+00,
-     |  -1.1833101899214d+00,-9.0579387680633d-01,-4.1813177079380d-01,
-     |   1.6596907319116d-01, 7.2052186527515d-01, 1.1418867455699d+00,
-     |   1.3724058606190d+00, 1.4068773314914d+00, 1.2827764328223d+00,
-     |   1.0606799192079d+00, 8.0334237877245d-01, 5.6023464966997d-01,
-     |   3.6060682244220d-01, 2.1434175265849d-01, 1.1753698705082d-01,
-     |   5.9332246748719d-02, 2.7479619390434d-02, 1.1624737015614d-02,
-     |   4.4658846973768d-03, 1.5468792669381d-03, 4.7880510995120d-04,
-     |   1.3098845100070d-04, 3.1242981753816d-05, 6.3872549885263d-06,
-     |   1.0953794417493d-06, 1.5328652618958d-07, 1.6882634037388d-08,
-     |   1.3942926742310d-09, 8.0767080384569d-11, 2.9819107649527d-12,
-     |   6.0747097719801d-14, 5.4160329603469d-16, 1.4045889887750d-18,
-     |   4.6284519848680d-22, 2.2786910697844d-27, 8.2239267676188d-39/
-      data (pmn(lat,25,26), lat = 1,72)/
-     |   3.6246805936301d-41, 3.0170480719774d-29, 1.0241293064730d-23,
-     |   4.3688317108641d-20, 2.1777948653888d-17, 3.0061262861738d-15,
-     |   1.7585804190268d-13, 5.5506999354846d-12, 1.0985346183656d-10,
-     |   1.5063236393107d-09, 1.5343575313165d-08, 1.2212021052616d-07,
-     |   7.8869803760833d-07, 4.2547151187978d-06, 1.9610947030613d-05,
-     |   7.8634135913408d-05, 2.7829573997812d-04, 8.7966145505927d-04,
-     |   2.5075641902019d-03, 6.4982446308491d-03, 1.5410904062292d-02,
-     |   3.3630116253621d-02, 6.7834152246671d-02, 1.2692908725673d-01,
-     |   2.2094864242134d-01, 3.5853069650114d-01, 5.4300595815475d-01,
-     |   7.6784426311714d-01, 1.0129720617293d+00, 1.2439052052304d+00,
-     |   1.4153318112278d+00, 1.4795651728465d+00, 1.3984324261279d+00,
-     |   1.1553687486895d+00, 7.6361957224098d-01, 2.6712759477581d-01,
-     |  -2.6712759477581d-01,-7.6361957224098d-01,-1.1553687486895d+00,
-     |  -1.3984324261279d+00,-1.4795651728465d+00,-1.4153318112278d+00,
-     |  -1.2439052052304d+00,-1.0129720617293d+00,-7.6784426311714d-01,
-     |  -5.4300595815475d-01,-3.5853069650114d-01,-2.2094864242134d-01,
-     |  -1.2692908725673d-01,-6.7834152246671d-02,-3.3630116253621d-02,
-     |  -1.5410904062293d-02,-6.4982446308492d-03,-2.5075641902019d-03,
-     |  -8.7966145505927d-04,-2.7829573997812d-04,-7.8634135913409d-05,
-     |  -1.9610947030613d-05,-4.2547151187978d-06,-7.8869803760835d-07,
-     |  -1.2212021052616d-07,-1.5343575313165d-08,-1.5063236393108d-09,
-     |  -1.0985346183656d-10,-5.5506999354847d-12,-1.7585804190268d-13,
-     |  -3.0061262861740d-15,-2.1777948653888d-17,-4.3688317108641d-20,
-     |  -1.0241293064730d-23,-3.0170480719774d-29,-3.6246805936301d-41/
-      data (pmn(lat,26,26), lat = 1,72)/
-     |   1.0967922221315d-43, 2.7422682831212d-31, 1.5553849045062d-25,
-     |   9.3248918509480d-22, 6.0072690588210d-19, 1.0200859260862d-16,
-     |   7.1081980145312d-15, 2.6129273844961d-13, 5.9241530164018d-12,
-     |   9.1913581806258d-11, 1.0493005655121d-09, 9.2908735173697d-09,
-     |   6.6369007309879d-08, 3.9424064943399d-07, 1.9940558581876d-06,
-     |   8.7518608787866d-06, 3.3844867964130d-05, 1.1677723911993d-04,
-     |   3.6325037785140d-04, 1.0275582424272d-03, 2.6627812279155d-03,
-     |   6.3604269908097d-03, 1.4078427319666d-02, 2.9007029176281d-02,
-     |   5.5849461545243d-02, 1.0082068959985d-01, 1.7113539926500d-01,
-     |   2.7381502801142d-01, 4.1382291335314d-01, 5.9181593848824d-01,
-     |   8.0209422570481d-01, 1.0315033480793d+00, 1.2599684030213d+00,
-     |   1.4629658449171d+00, 1.6156452084228d+00, 1.6976993827110d+00,
-     |   1.6976993827110d+00, 1.6156452084228d+00, 1.4629658449171d+00,
-     |   1.2599684030213d+00, 1.0315033480793d+00, 8.0209422570481d-01,
-     |   5.9181593848824d-01, 4.1382291335314d-01, 2.7381502801142d-01,
-     |   1.7113539926500d-01, 1.0082068959985d-01, 5.5849461545243d-02,
-     |   2.9007029176281d-02, 1.4078427319666d-02, 6.3604269908097d-03,
-     |   2.6627812279156d-03, 1.0275582424272d-03, 3.6325037785140d-04,
-     |   1.1677723911993d-04, 3.3844867964131d-05, 8.7518608787867d-06,
-     |   1.9940558581875d-06, 3.9424064943399d-07, 6.6369007309880d-08,
-     |   9.2908735173697d-09, 1.0493005655121d-09, 9.1913581806260d-11,
-     |   5.9241530164020d-12, 2.6129273844961d-13, 7.1081980145312d-15,
-     |   1.0200859260863d-16, 6.0072690588210d-19, 9.3248918509480d-22,
-     |   1.5553849045062d-25, 2.7422682831212d-31, 1.0967922221315d-43/
-      data (pmn(lat, 0,27), lat = 1,72)/
-     |   4.7827986109913d+00, 1.7836320291412d+00,-1.3649884189173d+00,
-     |  -1.9785770803436d+00,-2.1696634331936d-01, 1.4439505184685d+00,
-     |   1.1373616759130d+00,-4.7778461832019d-01,-1.3241694469002d+00,
-     |  -4.8016768415532d-01, 8.6771419234391d-01, 1.0410133591189d+00,
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-     |   5.0872989264262d-01, 9.7012214924578d-01, 2.0185566174528d-01,
-     |  -7.8384608859853d-01,-7.4999177208187d-01, 2.2108723956200d-01,
-     |   8.8163117799065d-01, 4.1477044568858d-01,-5.5999326829315d-01,
-     |  -8.0449101447512d-01,-2.9448854350634d-02, 7.6623829789559d-01,
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-     |  -2.5268263399100d-01, 6.2227002109164d-01, 6.9959657053616d-01,
-     |  -1.1270068727074d-01,-7.7775606402736d-01,-4.5057280783607d-01,
-     |   4.5057280783607d-01, 7.7775606402736d-01, 1.1270068727074d-01,
-     |  -6.9959657053615d-01,-6.2227002109164d-01, 2.5268263399100d-01,
-     |   8.1309068825157d-01, 3.3721136113589d-01,-5.7898469778134d-01,
-     |  -7.6623829789559d-01, 2.9448854350630d-02, 8.0449101447512d-01,
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-     |  -2.2108723956201d-01, 7.4999177208187d-01, 7.8384608859853d-01,
-     |  -2.0185566174528d-01,-9.7012214924578d-01,-5.0872989264262d-01,
-     |   6.4548230824095d-01, 1.0219618302086d+00, 7.6227412608508d-02,
-     |  -1.0410133591189d+00,-8.6771419234391d-01, 4.8016768415531d-01,
-     |   1.3241694469002d+00, 4.7778461832020d-01,-1.1373616759130d+00,
-     |  -1.4439505184685d+00, 2.1696634331936d-01, 1.9785770803436d+00,
-     |   1.3649884189173d+00,-1.7836320291412d+00,-4.7827986109913d+00/
-      data (pmn(lat, 1,27), lat = 1,72)/
-     |   1.5032084146931d+00, 3.0505516221072d+00, 1.7811984329134d+00,
-     |  -7.2668660086879d-01,-1.8169913605579d+00,-6.6098262962329d-01,
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-     |   1.1033852865470d+00, 2.9003713842660d-01,-8.2858946900271d-01,
-     |  -8.5954171054529d-01, 1.7520075579330d-01, 9.4215647859835d-01,
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-     |  -9.7574137397743d-02, 7.7569845216275d-01, 6.5051041606915d-01,
-     |  -2.8879061534196d-01,-8.4248385864019d-01,-3.2302612866261d-01,
-     |   5.9397147217600d-01, 7.4548439231992d-01,-4.7634809615841d-02,
-     |  -7.7043650896675d-01,-5.0954768724970d-01, 3.9524547663501d-01,
-     |   7.9226235383777d-01, 1.8072487590862d-01,-6.5891769138712d-01,
-     |  -6.5891769138712d-01, 1.8072487590862d-01, 7.9226235383777d-01,
-     |   3.9524547663501d-01,-5.0954768724970d-01,-7.7043650896675d-01,
-     |  -4.7634809615845d-02, 7.4548439231992d-01, 5.9397147217600d-01,
-     |  -3.2302612866261d-01,-8.4248385864019d-01,-2.8879061534197d-01,
-     |   6.5051041606915d-01, 7.7569845216275d-01,-9.7574137397743d-02,
-     |  -8.7305648234000d-01,-5.4512748490922d-01, 5.0295229631349d-01,
-     |   9.4215647859835d-01, 1.7520075579331d-01,-8.5954171054529d-01,
-     |  -8.2858946900271d-01, 2.9003713842660d-01, 1.1033852865470d+00,
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-     |  -3.1880255127400d-02, 1.2993323846361d+00, 1.0611864218145d+00,
-     |  -6.6098262962327d-01,-1.8169913605579d+00,-7.2668660086879d-01,
-     |   1.7811984329134d+00, 3.0505516221072d+00, 1.5032084146931d+00/
-      data (pmn(lat, 2,27), lat = 1,72)/
-     |   2.2859167574192d-01, 1.6039541827357d+00, 2.5513979351349d+00,
-     |   1.6373159680210d+00,-4.4807347750881d-01,-1.6426090587402d+00,
-     |  -8.7369138272775d-01, 7.5721180168597d-01, 1.3199534101044d+00,
-     |   2.8507353847707d-01,-9.8653094562828d-01,-9.7286866566889d-01,
-     |   2.0876725541224d-01, 1.0549322049559d+00, 5.6402958017521d-01,
-     |  -5.8740877301816d-01,-9.5685694741017d-01,-1.3043906255253d-01,
-     |   8.1995334174301d-01, 7.1616567128953d-01,-2.7241638129690d-01,
-     |  -8.8801065650023d-01,-3.7756905537037d-01, 5.8948659598526d-01,
-     |   7.9401747760921d-01,-7.7295061453470d-04,-7.7760635145457d-01,
-     |  -5.6292827328979d-01, 3.5608994169245d-01, 8.1315707234099d-01,
-     |   2.3928621189066d-01,-6.3047705366043d-01,-6.9609290867076d-01,
-     |   1.1916978251970d-01, 7.7964965088151d-01, 4.5012278357727d-01,
-     |  -4.5012278357727d-01,-7.7964965088151d-01,-1.1916978251971d-01,
-     |   6.9609290867076d-01, 6.3047705366043d-01,-2.3928621189066d-01,
-     |  -8.1315707234100d-01,-3.5608994169246d-01, 5.6292827328979d-01,
-     |   7.7760635145457d-01, 7.7295061453846d-04,-7.9401747760921d-01,
-     |  -5.8948659598526d-01, 3.7756905537037d-01, 8.8801065650023d-01,
-     |   2.7241638129692d-01,-7.1616567128953d-01,-8.1995334174301d-01,
-     |   1.3043906255253d-01, 9.5685694741017d-01, 5.8740877301817d-01,
-     |  -5.6402958017521d-01,-1.0549322049559d+00,-2.0876725541225d-01,
-     |   9.7286866566889d-01, 9.8653094562828d-01,-2.8507353847706d-01,
-     |  -1.3199534101044d+00,-7.5721180168598d-01, 8.7369138272775d-01,
-     |   1.6426090587402d+00, 4.4807347750881d-01,-1.6373159680210d+00,
-     |  -2.5513979351349d+00,-1.6039541827357d+00,-2.2859167574192d-01/
-      data (pmn(lat, 3,27), lat = 1,72)/
-     |   2.2936503810505d-02, 5.1563208196944d-01, 1.6167512894474d+00,
-     |   2.2823738430514d+00, 1.4928143843892d+00,-3.1772270733397d-01,
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-     |   1.2802129842369d+00, 5.0661248825699d-01,-7.8407982497097d-01,
-     |  -1.0560737991754d+00,-6.0208469465626d-02, 9.4315069170462d-01,
-     |   7.5493049696054d-01,-3.3503068138975d-01,-9.6456737131095d-01,
-     |  -3.8964468788386d-01, 6.3831332352246d-01, 8.4344752107640d-01,
-     |   2.7323587696461d-03,-8.1461260561632d-01,-5.9999602401325d-01,
-     |   3.5318503676168d-01, 8.4467182025340d-01, 2.7391145214995d-01,
-     |  -6.2752726350663d-01,-7.2981460119092d-01, 8.2379729492760d-02,
-     |   7.8104048199143d-01, 4.9258741750978d-01,-4.1194670764124d-01,
-     |  -7.9246599221506d-01,-1.7374239833534d-01, 6.6210702180004d-01,
-     |   6.6210702180004d-01,-1.7374239833534d-01,-7.9246599221506d-01,
-     |  -4.1194670764125d-01, 4.9258741750978d-01, 7.8104048199143d-01,
-     |   8.2379729492763d-02,-7.2981460119092d-01,-6.2752726350663d-01,
-     |   2.7391145214995d-01, 8.4467182025340d-01, 3.5318503676169d-01,
-     |  -5.9999602401324d-01,-8.1461260561632d-01, 2.7323587696461d-03,
-     |   8.4344752107639d-01, 6.3831332352246d-01,-3.8964468788385d-01,
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-      data (pmn(lat, 8,27), lat = 1,72)/
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-      data (pmn(lat, 9,27), lat = 1,72)/
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-      data (pmn(lat,11,27), lat = 1,72)/
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-     |   6.9867868469161d-06, 2.8409428374740d-08, 1.6971697610938d-13/
-      data (pmn(lat,12,27), lat = 1,72)/
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-     |  -8.0580475127302d-07,-1.9461518953702d-09,-3.8562179459282d-15/
-      data (pmn(lat,13,27), lat = 1,72)/
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-     |   8.3941415408597d-08, 1.2058299595762d-10, 7.9301838265079d-17/
-      data (pmn(lat,14,27), lat = 1,72)/
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-     |   7.7184136119937d-07, 2.1786865685461d-05, 2.8861625801174d-04,
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-     |  -2.8861625801175d-04,-2.1786865685461d-05,-7.7184136119937d-07,
-     |  -7.9283047702817d-09,-6.7815753588207d-12,-1.4810574986317d-18/
-      data (pmn(lat,15,27), lat = 1,72)/
-     |   2.5177607342101d-20, 3.4700916483811d-13, 6.8071331067069d-10,
-     |   9.3736547283460d-08, 3.4501578543525d-06, 5.6890404593544d-05,
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-     |   6.8071331067069d-10, 3.4700916483811d-13, 2.5177607342101d-20/
-      data (pmn(lat,16,27), lat = 1,72)/
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-     |   1.0351564735151d-08, 4.9602556438171d-07, 1.0158809616486d-05,
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-     |  -5.3205639728899d-11,-1.6176228603834d-14,-3.9006558073009d-22/
-      data (pmn(lat,17,27), lat = 1,72)/
-     |   5.5082510080662d-24, 6.8712821286820d-16, 3.7871501600383d-12,
-     |   1.0400559055854d-09, 6.4796552354679d-08, 1.6453878212067d-06,
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-     |   1.6453878212068d-06, 6.4796552354679d-08, 1.0400559055854d-09,
-     |   3.7871501600383d-12, 6.8712821286820d-16, 5.5082510080662d-24/
-      data (pmn(lat,18,27), lat = 1,72)/
-     |   7.0833117817315d-26, 2.6572750505100d-17, 2.4529293076907d-13,
-     |   9.5013203587890d-11, 7.6877897631523d-09, 2.4169473117383d-07,
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-     |  -2.4529293076907d-13,-2.6572750505100d-17,-7.0833117817315d-26/
-      data (pmn(lat,19,27), lat = 1,72)/
-     |   8.2767603541617d-28, 9.3356513869915d-19, 1.4427129597667d-14,
-     |   7.8767202509527d-12, 8.2696261320297d-10, 3.2149606973362d-08,
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-     |   7.7509595422969d-03, 1.9749176838334d-03, 4.0715893332166d-04,
-     |   6.5479842247086d-05, 7.8020694767171d-06, 6.3918467605667d-07,
-     |   3.2149606973363d-08, 8.2696261320297d-10, 7.8767202509527d-12,
-     |   1.4427129597667d-14, 9.3356513869915d-19, 8.2767603541617d-28/
-      data (pmn(lat,20,27), lat = 1,72)/
-     |   8.7557219828151d-30, 2.9688037948863d-20, 7.6779215676040d-16,
-     |   5.9051360980718d-13, 8.0381107509742d-11, 3.8603269485368d-09,
-     |   9.1897962135107d-08, 1.3147555772987d-06, 1.2738976158066d-05,
-     |   9.0465414004696d-05, 4.9732063112186d-04, 2.2008124951345d-03,
-     |   8.0675348665394d-03, 2.5019688493365d-02, 6.6672189048085d-02,
-     |   1.5435567869037d-01, 3.1268994604411d-01, 5.5609952040524d-01,
-     |   8.6727625220374d-01, 1.1775546807348d+00, 1.3673351721151d+00,
-     |   1.3028803294167d+00, 9.0754037755190d-01, 2.3599275546687d-01,
-     |  -5.0086376385385d-01,-1.0015880063791d+00,-1.0216536367224d+00,
-     |  -5.2955708512086d-01, 2.3281112414158d-01, 8.5121061179029d-01,
-     |   9.6791405106593d-01, 5.0669604802912d-01,-2.5853432191718d-01,
-     |  -8.5655351788024d-01,-9.1108758479835d-01,-3.8572580884142d-01,
-     |   3.8572580884142d-01, 9.1108758479835d-01, 8.5655351788024d-01,
-     |   2.5853432191718d-01,-5.0669604802912d-01,-9.6791405106593d-01,
-     |  -8.5121061179030d-01,-2.3281112414159d-01, 5.2955708512086d-01,
-     |   1.0216536367224d+00, 1.0015880063791d+00, 5.0086376385385d-01,
-     |  -2.3599275546687d-01,-9.0754037755190d-01,-1.3028803294167d+00,
-     |  -1.3673351721151d+00,-1.1775546807348d+00,-8.6727625220375d-01,
-     |  -5.5609952040524d-01,-3.1268994604411d-01,-1.5435567869038d-01,
-     |  -6.6672189048084d-02,-2.5019688493365d-02,-8.0675348665395d-03,
-     |  -2.2008124951345d-03,-4.9732063112186d-04,-9.0465414004697d-05,
-     |  -1.2738976158066d-05,-1.3147555772987d-06,-9.1897962135107d-08,
-     |  -3.8603269485369d-09,-8.0381107509742d-11,-5.9051360980718d-13,
-     |  -7.6779215676040d-16,-2.9688037948863d-20,-8.7557219828151d-30/
-      data (pmn(lat,21,27), lat = 1,72)/
-     |   8.3387605235144d-32, 8.4982265241844d-22, 3.6768804165311d-17,
-     |   3.9817603949915d-14, 7.0225046626998d-12, 4.1625918982343d-10,
-     |   1.1852192236596d-08, 1.9847251006555d-07, 2.2164208093823d-06,
-     |   1.7938987708032d-05, 1.1148667079217d-04, 5.5456676165009d-04,
-     |   2.2765287013683d-03, 7.8908968982521d-03, 2.3496631806890d-02,
-     |   6.0884931958837d-02, 1.3857604474798d-01, 2.7875111653951d-01,
-     |   4.9706816132470d-01, 7.8535662121124d-01, 1.0936485850051d+00,
-     |   1.3249140907837d+00, 1.3569062212148d+00, 1.0949120907584d+00,
-     |   5.3797834543959d-01,-1.7916256208531d-01,-8.0812229578973d-01,
-     |  -1.0849790142805d+00,-8.6833328882896d-01,-2.4135102168573d-01,
-     |   4.9619310986520d-01, 9.6498602041375d-01, 9.1018352309675d-01,
-     |   3.5536983296073d-01,-3.9482769518053d-01,-9.1879146384895d-01,
-     |  -9.1879146384895d-01,-3.9482769518053d-01, 3.5536983296073d-01,
-     |   9.1018352309675d-01, 9.6498602041375d-01, 4.9619310986520d-01,
-     |  -2.4135102168573d-01,-8.6833328882895d-01,-1.0849790142805d+00,
-     |  -8.0812229578973d-01,-1.7916256208532d-01, 5.3797834543958d-01,
-     |   1.0949120907584d+00, 1.3569062212148d+00, 1.3249140907837d+00,
-     |   1.0936485850051d+00, 7.8535662121124d-01, 4.9706816132470d-01,
-     |   2.7875111653951d-01, 1.3857604474798d-01, 6.0884931958838d-02,
-     |   2.3496631806890d-02, 7.8908968982521d-03, 2.2765287013684d-03,
-     |   5.5456676165009d-04, 1.1148667079217d-04, 1.7938987708033d-05,
-     |   2.2164208093824d-06, 1.9847251006555d-07, 1.1852192236596d-08,
-     |   4.1625918982344d-10, 7.0225046626998d-12, 3.9817603949915d-14,
-     |   3.6768804165311d-17, 8.4982265241844d-22, 8.3387605235144d-32/
-      data (pmn(lat,22,27), lat = 1,72)/
-     |   7.0909483801622d-34, 2.1717472234480d-23, 1.5715559508504d-18,
-     |   2.3952548308304d-15, 5.4702894887286d-13, 3.9990611414274d-11,
-     |   1.3606195238649d-09, 2.6637672251519d-08, 3.4236923304309d-07,
-     |   3.1527560620557d-06, 2.2104407500135d-05, 1.2327891880557d-04,
-     |   5.6495598496768d-04, 2.1802283476664d-03, 7.2192181805756d-03,
-     |   2.0807709635119d-02, 5.2778209310637d-02, 1.1876470300503d-01,
-     |   2.3840603973618d-01, 4.2820087629564d-01, 6.8828651811149d-01,
-     |   9.8676129277873d-01, 1.2506424879542d+00, 1.3751760816226d+00,
-     |   1.2584006027568d+00, 8.5432236561414d-01, 2.2119843249413d-01,
-     |  -4.6738126740102d-01,-9.7089576841280d-01,-1.0822976743198d+00,
-     |  -7.3733227992149d-01,-7.1507051117635d-02, 6.1953540907184d-01,
-     |   1.0110267187334d+00, 9.1060478506822d-01, 3.6325061692639d-01,
-     |  -3.6325061692638d-01,-9.1060478506822d-01,-1.0110267187334d+00,
-     |  -6.1953540907184d-01, 7.1507051117633d-02, 7.3733227992149d-01,
-     |   1.0822976743198d+00, 9.7089576841280d-01, 4.6738126740103d-01,
-     |  -2.2119843249413d-01,-8.5432236561414d-01,-1.2584006027568d+00,
-     |  -1.3751760816226d+00,-1.2506424879542d+00,-9.8676129277873d-01,
-     |  -6.8828651811149d-01,-4.2820087629565d-01,-2.3840603973618d-01,
-     |  -1.1876470300503d-01,-5.2778209310638d-02,-2.0807709635119d-02,
-     |  -7.2192181805755d-03,-2.1802283476664d-03,-5.6495598496769d-04,
-     |  -1.2327891880557d-04,-2.2104407500135d-05,-3.1527560620558d-06,
-     |  -3.4236923304310d-07,-2.6637672251519d-08,-1.3606195238649d-09,
-     |  -3.9990611414275d-11,-5.4702894887286d-13,-2.3952548308304d-15,
-     |  -1.5715559508504d-18,-2.1717472234480d-23,-7.0909483801622d-34/
-      data (pmn(lat,23,27), lat = 1,72)/
-     |   5.3185334241010d-36, 4.8946685408066d-25, 5.9225493228272d-20,
-     |   1.2699807000476d-16, 3.7538670317746d-14, 3.3823623876096d-12,
-     |   1.3740081698246d-10, 3.1417636094709d-09, 4.6418739190670d-08,
-     |   4.8563072232377d-07, 3.8344004051727d-06, 2.3926039251811d-05,
-     |   1.2209456865905d-04, 5.2296258527220d-04, 1.9182772054792d-03,
-     |   6.1208487783267d-03, 1.7198008559635d-02, 4.2956126476499d-02,
-     |   9.6064829412469d-02, 1.9333602987876d-01, 3.5125313540459d-01,
-     |   5.7664016195456d-01, 8.5398061126002d-01, 1.1348257781395d+00,
-     |   1.3377958875379d+00, 1.3667000608587d+00, 1.1472057180215d+00,
-     |   6.7080199688443d-01, 2.4509387078844d-02,-6.1613667520984d-01,
-     |  -1.0401742025547d+00,-1.0860465384807d+00,-7.2167914318236d-01,
-     |  -7.7248386743090d-02, 5.9425453009320d-01, 1.0184268738287d+00,
-     |   1.0184268738287d+00, 5.9425453009320d-01,-7.7248386743088d-02,
-     |  -7.2167914318236d-01,-1.0860465384807d+00,-1.0401742025547d+00,
-     |  -6.1613667520984d-01, 2.4509387078840d-02, 6.7080199688443d-01,
-     |   1.1472057180215d+00, 1.3667000608587d+00, 1.3377958875379d+00,
-     |   1.1348257781395d+00, 8.5398061126002d-01, 5.7664016195456d-01,
-     |   3.5125313540459d-01, 1.9333602987876d-01, 9.6064829412469d-02,
-     |   4.2956126476499d-02, 1.7198008559636d-02, 6.1208487783267d-03,
-     |   1.9182772054792d-03, 5.2296258527220d-04, 1.2209456865905d-04,
-     |   2.3926039251811d-05, 3.8344004051727d-06, 4.8563072232378d-07,
-     |   4.6418739190671d-08, 3.1417636094709d-09, 1.3740081698246d-10,
-     |   3.3823623876097d-12, 3.7538670317746d-14, 1.2699807000476d-16,
-     |   5.9225493228272d-20, 4.8946685408066d-25, 5.3185334241010d-36/
-      data (pmn(lat,24,27), lat = 1,72)/
-     |   3.4533092444635d-38, 9.5487786311075d-27, 1.9315509680202d-21,
-     |   5.8253366850951d-18, 2.2275870522154d-15, 2.4724238806734d-13,
-     |   1.1983271959524d-11, 3.1974898981429d-10, 5.4249822671235d-09,
-     |   6.4400224475606d-08, 5.7178987176575d-07, 3.9847798506905d-06,
-     |   2.2594930731783d-05, 1.0714443823033d-04, 4.3404048397559d-04,
-     |   1.5274620052322d-03, 4.7322095452484d-03, 1.3043798032685d-02,
-     |   3.2257178048358d-02, 7.2037581586256d-02, 1.4598725712583d-01,
-     |   2.6935765241664d-01, 4.5325243665859d-01, 6.9548408193709d-01,
-     |   9.7068657713110d-01, 1.2249050852794d+00, 1.3808543593880d+00,
-     |   1.3575390323925d+00, 1.1015948475470d+00, 6.1973634169761d-01,
-     |  -3.5068184408493d-03,-6.1658997125850d-01,-1.0435768623118d+00,
-     |  -1.1464722788155d+00,-8.8261396059925d-01,-3.3055554247802d-01,
-     |   3.3055554247802d-01, 8.8261396059925d-01, 1.1464722788155d+00,
-     |   1.0435768623118d+00, 6.1658997125850d-01, 3.5068184408478d-03,
-     |  -6.1973634169760d-01,-1.1015948475470d+00,-1.3575390323925d+00,
-     |  -1.3808543593880d+00,-1.2249050852794d+00,-9.7068657713110d-01,
-     |  -6.9548408193709d-01,-4.5325243665859d-01,-2.6935765241664d-01,
-     |  -1.4598725712583d-01,-7.2037581586256d-02,-3.2257178048358d-02,
-     |  -1.3043798032685d-02,-4.7322095452484d-03,-1.5274620052323d-03,
-     |  -4.3404048397559d-04,-1.0714443823033d-04,-2.2594930731784d-05,
-     |  -3.9847798506905d-06,-5.7178987176575d-07,-6.4400224475607d-08,
-     |  -5.4249822671236d-09,-3.1974898981429d-10,-1.1983271959524d-11,
-     |  -2.4724238806735d-13,-2.2275870522154d-15,-5.8253366850951d-18,
-     |  -1.9315509680202d-21,-9.5487786311075d-27,-3.4533092444635d-38/
-      data (pmn(lat,25,27), lat = 1,72)/
-     |   1.8823157991071d-40, 1.5636717095581d-28, 5.2868342186627d-23,
-     |   2.2418849768938d-19, 1.1086396782596d-16, 1.5149877854285d-14,
-     |   8.7553997499084d-13, 2.7241582242954d-11, 5.3027182599463d-10,
-     |   7.1350542201342d-09, 7.1146184661667d-08, 5.5291813463044d-07,
-     |   3.4775702284141d-06, 1.8218057897805d-05, 8.1299833842845d-05,
-     |   3.1459956967520d-04, 1.0707564636942d-03, 3.2424986666234d-03,
-     |   8.8180365220400d-03, 2.1699110879870d-02, 4.8608941081360d-02,
-     |   9.9598815545708d-02, 1.8732510144386d-01, 3.2417069672870d-01,
-     |   5.1675145922342d-01, 7.5855292449739d-01, 1.0231361976064d+00,
-     |   1.2617376223552d+00, 1.4090562510362d+00, 1.3987796423001d+00,
-     |   1.1861869147668d+00, 7.7059860140972d-01, 2.0798977833604d-01,
-     |  -3.9419635020510d-01,-9.0187635028935d-01,-1.1923348211400d+00,
-     |  -1.1923348211400d+00,-9.0187635028935d-01,-3.9419635020510d-01,
-     |   2.0798977833604d-01, 7.7059860140972d-01, 1.1861869147668d+00,
-     |   1.3987796423001d+00, 1.4090562510362d+00, 1.2617376223552d+00,
-     |   1.0231361976064d+00, 7.5855292449739d-01, 5.1675145922342d-01,
-     |   3.2417069672870d-01, 1.8732510144386d-01, 9.9598815545708d-02,
-     |   4.8608941081361d-02, 2.1699110879870d-02, 8.8180365220401d-03,
-     |   3.2424986666234d-03, 1.0707564636942d-03, 3.1459956967520d-04,
-     |   8.1299833842844d-05, 1.8218057897805d-05, 3.4775702284141d-06,
-     |   5.5291813463044d-07, 7.1146184661667d-08, 7.1350542201344d-09,
-     |   5.3027182599465d-10, 2.7241582242954d-11, 8.7553997499084d-13,
-     |   1.5149877854286d-14, 1.1086396782596d-16, 2.2418849768938d-19,
-     |   5.2868342186627d-23, 1.5636717095581d-28, 1.8823157991071d-40/
-      data (pmn(lat,26,27), lat = 1,72)/
-     |   8.1320931398396d-43, 2.0293662373566d-30, 1.1466482780423d-24,
-     |   6.8350386197639d-21, 4.3695062817034d-18, 7.3483578831641d-16,
-     |   5.0609803181094d-14, 1.8349600795840d-12, 4.0947481136745d-11,
-     |   6.2392148974103d-10, 6.9793033733666d-09, 6.0409070441011d-08,
-     |   4.2079252275944d-07, 2.4310233373613d-06, 1.1925956062702d-05,
-     |   5.0618821491716d-05, 1.8871198609663d-04, 6.2559838577299d-04,
-     |   1.8628925396420d-03, 5.0245948170370d-03, 1.2360557785892d-02,
-     |   2.7892187886518d-02, 5.8006205444477d-02, 1.1159948164597d-01,
-     |   1.9922107114729d-01, 3.3070201606964d-01, 5.1115566324659d-01,
-     |   7.3599081763731d-01, 9.8649542520251d-01, 1.2281763893420d+00,
-     |   1.4138721496455d+00, 1.4924084944357d+00, 1.4214676584153d+00,
-     |   1.1811669537382d+00, 7.8365673326058d-01, 2.7465977760493d-01,
-     |  -2.7465977760493d-01,-7.8365673326057d-01,-1.1811669537382d+00,
-     |  -1.4214676584153d+00,-1.4924084944357d+00,-1.4138721496455d+00,
-     |  -1.2281763893420d+00,-9.8649542520251d-01,-7.3599081763731d-01,
-     |  -5.1115566324659d-01,-3.3070201606964d-01,-1.9922107114729d-01,
-     |  -1.1159948164597d-01,-5.8006205444477d-02,-2.7892187886518d-02,
-     |  -1.2360557785892d-02,-5.0245948170371d-03,-1.8628925396420d-03,
-     |  -6.2559838577299d-04,-1.8871198609664d-04,-5.0618821491717d-05,
-     |  -1.1925956062702d-05,-2.4310233373613d-06,-4.2079252275945d-07,
-     |  -6.0409070441011d-08,-6.9793033733666d-09,-6.2392148974104d-10,
-     |  -4.0947481136746d-11,-1.8349600795840d-12,-5.0609803181094d-14,
-     |  -7.3483578831645d-16,-4.3695062817034d-18,-6.8350386197639d-21,
-     |  -1.1466482780423d-24,-2.0293662373566d-30,-8.1320931398396d-43/
-      data (pmn(lat,27,27), lat = 1,72)/
-     |   2.4146920675300d-45, 1.8100598421714d-32, 1.7089057091929d-26,
-     |   1.4316084478323d-22, 1.1827617586270d-19, 2.4469473551894d-17,
-     |   2.0074129644393d-15, 8.4763914021176d-14, 2.1669281100886d-12,
-     |   3.7359076755287d-11, 4.6837122515020d-10, 4.5099938363674d-09,
-     |   3.4747804356742d-08, 2.2104710679627d-07, 1.1899720203446d-06,
-     |   5.5284846511963d-06, 2.2521148956153d-05, 8.1497268350531d-05,
-     |   2.6481745708833d-04, 7.7967970289221d-04, 2.0958019058713d-03,
-     |   5.1766079765244d-03, 1.1813674200832d-02, 2.5027015583239d-02,
-     |   4.9416014485123d-02, 9.1256740633214d-02, 1.5808593282103d-01,
-     |   2.5754986365186d-01, 3.9547308694634d-01, 5.7340953198976d-01,
-     |   7.8628873483402d-01, 1.0210077676471d+00, 1.2567819753297d+00,
-     |   1.4676741685658d+00, 1.6270451591589d+00, 1.7129389822851d+00,
-     |   1.7129389822851d+00, 1.6270451591589d+00, 1.4676741685658d+00,
-     |   1.2567819753297d+00, 1.0210077676471d+00, 7.8628873483402d-01,
-     |   5.7340953198976d-01, 3.9547308694634d-01, 2.5754986365186d-01,
-     |   1.5808593282103d-01, 9.1256740633214d-02, 4.9416014485123d-02,
-     |   2.5027015583239d-02, 1.1813674200832d-02, 5.1766079765244d-03,
-     |   2.0958019058713d-03, 7.7967970289221d-04, 2.6481745708833d-04,
-     |   8.1497268350531d-05, 2.2521148956153d-05, 5.5284846511964d-06,
-     |   1.1899720203446d-06, 2.2104710679627d-07, 3.4747804356742d-08,
-     |   4.5099938363674d-09, 4.6837122515020d-10, 3.7359076755287d-11,
-     |   2.1669281100886d-12, 8.4763914021177d-14, 2.0074129644393d-15,
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-      data (pmn(lat, 0,28), lat = 1,72)/
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-      data (pmn(lat, 1,28), lat = 1,72)/
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-      data (pmn(lat, 2,28), lat = 1,72)/
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-      data (pmn(lat, 3,28), lat = 1,72)/
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-      data (pmn(lat, 4,28), lat = 1,72)/
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-      data (pmn(lat, 5,28), lat = 1,72)/
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-      data (pmn(lat, 6,28), lat = 1,72)/
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-      data (pmn(lat, 7,28), lat = 1,72)/
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-      data (pmn(lat, 8,28), lat = 1,72)/
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-      data (pmn(lat, 9,28), lat = 1,72)/
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-      data (pmn(lat,10,28), lat = 1,72)/
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-      data (pmn(lat,11,28), lat = 1,72)/
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-      data (pmn(lat,12,28), lat = 1,72)/
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-      data (pmn(lat,13,28), lat = 1,72)/
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-      data (pmn(lat,14,28), lat = 1,72)/
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-      data (pmn(lat,15,28), lat = 1,72)/
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-      data (pmn(lat,16,28), lat = 1,72)/
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-      data (pmn(lat,17,28), lat = 1,72)/
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-      data (pmn(lat,18,28), lat = 1,72)/
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-      data (pmn(lat,19,28), lat = 1,72)/
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-      data (pmn(lat,20,28), lat = 1,72)/
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-      data (pmn(lat,21,28), lat = 1,72)/
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-      data (pmn(lat,22,28), lat = 1,72)/
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-      data (pmn(lat,23,28), lat = 1,72)/
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-      data (pmn(lat,24,28), lat = 1,72)/
-     |   1.2672067014873d-37, 3.4964937269085d-26, 7.0425854517174d-21,
-     |   2.1103101045062d-17, 8.0002302368692d-15, 8.7832648452088d-13,
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-     |   2.1383005430007d-07, 1.8545844639417d-06, 1.2588730715105d-05,
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-     |   1.8389178025135d-08, 1.1036402747120d-09, 4.2011653804593d-11,
-     |   8.7832648452092d-13, 8.0002302368692d-15, 2.1103101045062d-17,
-     |   7.0425854517174d-21, 3.4964937269085d-26, 1.2672067014873d-37/
-      data (pmn(lat,25,28), lat = 1,72)/
-     |   8.0522001677102d-40, 6.6753854059337d-28, 2.2477067158530d-22,
-     |   9.4725406143183d-19, 4.6455361320152d-16, 6.2822070040908d-14,
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-     |  -2.2477067158530d-22,-6.6753854059337d-28,-8.0522001677102d-40/
-      data (pmn(lat,26,28), lat = 1,72)/
-     |   4.3006402728120d-42, 1.0711073259521d-29, 6.0281314438849d-24,
-     |   3.5719403363188d-20, 2.2653011512159d-17, 3.7715392643821d-15,
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-     |   8.4238874992717d-02, 1.6340048241181d-01, 2.9084934605473d-01,
-     |   4.7569655896383d-01, 7.1479784265348d-01, 9.8482752966717d-01,
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-     |   1.2278833992338d+00, 8.1929564606941d-01, 2.4969156185703d-01,
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-     |  -1.2010684198448d+00,-8.9759777844907d-01,-3.7001037890368d-01,
-     |   2.4969156185703d-01, 8.1929564606941d-01, 1.2278833992338d+00,
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-     |   9.8482752966717d-01, 7.1479784265348d-01, 4.7569655896384d-01,
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-     |   2.3499369113967d-03, 7.3983166699210d-04, 2.0633296498953d-04,
-     |   5.0368635360708d-05, 1.0603955025650d-05, 1.8899736224976d-06,
-     |   2.7859733509962d-07, 3.2962532903978d-08, 3.0100722480825d-09,
-     |   2.0131066835611d-10, 9.1718047509156d-12, 2.5661533027262d-13,
-     |   3.7715392643823d-15, 2.2653011512159d-17, 3.5719403363188d-20,
-     |   6.0281314438849d-24, 1.0711073259521d-29, 4.3006402728120d-42/
-      data (pmn(lat,27,28), lat = 1,72)/
-     |   1.8226186950667d-44, 1.3636392916130d-31, 1.2825270312095d-25,
-     |   1.0682613228364d-21, 8.7580746283591d-19, 1.7944619442748d-16,
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-     |  -1.2825270312095d-25,-1.3636392916130d-31,-1.8226186950667d-44/
-      data (pmn(lat,28,28), lat = 1,72)/
-     |   5.3144472209711d-47, 1.1943589693590d-33, 1.8769697404573d-27,
-     |   2.1971699507359d-23, 2.3279648267270d-20, 5.8677478829291d-18,
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-     |   1.8769697404573d-27, 1.1943589693590d-33, 5.3144472209711d-47/
-      data (pmn(lat, 0,29), lat = 1,72)/
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-      data (pmn(lat, 1,29), lat = 1,72)/
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-      data (pmn(lat, 2,29), lat = 1,72)/
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-     |  -2.6251746240252d+00,-1.8297202256114d+00,-2.7126779554674d-01/
-      data (pmn(lat, 3,29), lat = 1,72)/
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-      data (pmn(lat, 4,29), lat = 1,72)/
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-     |  -8.7477555230025d-01,-1.6093110083733d-01,-2.3486104210750d-03/
-      data (pmn(lat, 5,29), lat = 1,72)/
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-     |   1.0478720154402d+00, 1.8841678379670d+00, 1.8752403565313d+00,
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-     |   3.0676852933958d-01, 3.1727459314129d-02, 1.4990979076821d-04/
-      data (pmn(lat, 6,29), lat = 1,72)/
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-     |   4.4705198858618d-01, 1.1803685238109d+00, 1.8604724726138d+00,
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-     |   4.7523606009656d-01, 7.6624950012522d-01,-7.5541477955703d-03,
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-     |  -8.6498463254584d-02,-5.1329605427066d-03,-7.9189346540159d-06/
-      data (pmn(lat, 7,29), lat = 1,72)/
-     |   3.5576501043368d-07, 7.0258930169028d-04, 2.0390808529661d-02,
-     |   1.5584035739758d-01, 5.7692419877003d-01, 1.2819414896638d+00,
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-     |   1.2819414896638d+00, 5.7692419877003d-01, 1.5584035739758d-01,
-     |   2.0390808529661d-02, 7.0258930169028d-04, 3.5576501043368d-07/
-      data (pmn(lat, 8,29), lat = 1,72)/
-     |   1.3860715601134d-08, 8.3113819026501d-05, 4.1228476827566d-03,
-     |   4.5958893562272d-02, 2.3274666590237d-01, 6.9430506708103d-01,
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-     |  -4.1228476827566d-03,-8.3113819026501d-05,-1.3860715601134d-08/
-      data (pmn(lat, 9,29), lat = 1,72)/
-     |   4.7513770575321d-10, 8.6302533452777d-06, 7.2794055802946d-04,
-     |   1.1730138440386d-02, 8.0056280432343d-02, 3.1235137295519d-01,
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-     |  -6.7520585716588d-01, 3.9047936648192d-01, 9.4119922379444d-01,
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-     |   9.2226344799581d-02, 8.4020126548234d-01, 4.9566227516998d-01,
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-     |   3.1235137295519d-01, 8.0056280432343d-02, 1.1730138440386d-02,
-     |   7.2794055802946d-04, 8.6302533452777d-06, 4.7513770575321d-10/
-      data (pmn(lat,10,29), lat = 1,72)/
-     |   1.4489407750377d-11, 7.9583776088789d-07, 1.1372312020929d-04,
-     |   2.6326851576111d-03, 2.3976455507428d-02, 1.2042168327199d-01,
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-     |  -3.0241803190614d-01, 6.1775131537821d-01, 7.3621726035080d-01,
-     |  -9.4150782536885d-02,-7.9875575604041d-01,-4.6829094847869d-01,
-     |   4.6829094847869d-01, 7.9875575604041d-01, 9.4150782536887d-02,
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-     |  -7.7326371482326d-01, 7.7327879804609d-02, 8.4949873030600d-01,
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-     |  -1.2042168327199d-01,-2.3976455507428d-02,-2.6326851576111d-03,
-     |  -1.1372312020929d-04,-7.9583776088789d-07,-1.4489407750377d-11/
-      data (pmn(lat,11,29), lat = 1,72)/
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-     |   1.5876851168269d-05, 6.5760735303878d-08, 3.9644259380961d-13/
-      data (pmn(lat,12,29), lat = 1,72)/
-     |   9.7969368380874d-15, 4.9029991647075d-09, 1.9958945986856d-06,
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-     |  -1.9958945986856d-06,-4.9029991647075d-09,-9.7969368380874d-15/
-      data (pmn(lat,13,29), lat = 1,72)/
-     |   2.1979503995976d-16, 3.3161926755254d-10, 2.2724627412287d-07,
-     |   1.5247798653703d-05, 3.1876386901936d-04, 3.2423111483285d-03,
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-     |   1.4791001650256d+00, 1.0721101213490d+00, 5.9570487453337d-01,
-     |   2.5586660394551d-01, 8.3552406403677d-02, 1.9937977601425d-02,
-     |   3.2423111483286d-03, 3.1876386901936d-04, 1.5247798653703d-05,
-     |   2.2724627412287d-07, 3.3161926755254d-10, 2.1979503995976d-16/
-      data (pmn(lat,14,29), lat = 1,72)/
-     |   4.4944123315248d-18, 2.0430447781056d-11, 2.3537639426300d-08,
-     |   2.2408625528018d-06, 6.1356821083194d-05, 7.8155639652153d-04,
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-     |  -2.6466931286347d-01, 6.5537322839346d-01, 8.5433591972034d-01,
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-     |   4.5652911789289d-01, 8.4443842093550d-01, 2.6032490857175d-01,
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-     |  -8.5433591972034d-01,-6.5537322839346d-01, 2.6466931286347d-01,
-     |   9.2612138504094d-01, 6.2952764795237d-01,-3.2894103252845d-01,
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-     |  -1.0755387849528d-01,-2.9472826065710d-02,-5.8594543919449d-03,
-     |  -7.8155639652154d-04,-6.1356821083194d-05,-2.2408625528018d-06,
-     |  -2.3537639426300d-08,-2.0430447781056d-11,-4.4944123315248d-18/
-      data (pmn(lat,15,29), lat = 1,72)/
-     |   8.4007037608518d-20, 1.1499712714062d-12, 2.2251192789195d-09,
-     |   3.0008365869806d-07, 1.0736514565153d-05, 1.7071634340033d-04,
-     |   1.5535847500982d-03, 9.3231869052216d-03, 4.0200261178336d-02,
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-     |   1.1311843934815d+00, 1.4597649551331d+00, 1.3947489607255d+00,
-     |   7.7996110338525d-01,-1.9347954190422d-01,-9.8520370506107d-01,
-     |  -1.0486314286539d+00,-3.1365898772075d-01, 6.4155174935165d-01,
-     |   1.0040442758081d+00, 4.4915616146005d-01,-5.0563611219094d-01,
-     |  -9.4344768644753d-01,-4.3676863873763d-01, 4.9804369091085d-01,
-     |   8.9964751739716d-01, 3.5362655072101d-01,-5.5723401668943d-01,
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-     |  -5.5723401668943d-01, 3.5362655072100d-01, 8.9964751739716d-01,
-     |   4.9804369091085d-01,-4.3676863873763d-01,-9.4344768644753d-01,
-     |  -5.0563611219094d-01, 4.4915616146005d-01, 1.0040442758081d+00,
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-     |   4.0200261178336d-02, 9.3231869052216d-03, 1.5535847500982d-03,
-     |   1.7071634340033d-04, 1.0736514565153d-05, 3.0008365869806d-07,
-     |   2.2251192789195d-09, 1.1499712714062d-12, 8.4007037608518d-20/
-      data (pmn(lat,16,29), lat = 1,72)/
-     |   1.4381558346095d-21, 5.9260508883659d-14, 1.9241855670540d-10,
-     |   3.6711198750672d-08, 1.7130748001733d-06, 3.3914850748864d-05,
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-     |   1.3668003166591d+00, 7.7186857819824d-01,-1.6461449506656d-01,
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-     |   5.4324030835925d-01, 1.0030499793691d+00, 5.8118642226048d-01,
-     |  -3.4774443272024d-01,-9.2823672073138d-01,-6.1251295330269d-01,
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-     |  -4.4820606117307d-01,-8.7049839769556d-01,-3.7172293321514d-01,
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-     |  -3.3914850748864d-05,-1.7130748001733d-06,-3.6711198750672d-08,
-     |  -1.9241855670540d-10,-5.9260508883659d-14,-1.4381558346095d-21/
-      data (pmn(lat,17,29), lat = 1,72)/
-     |   2.2575075950367d-23, 2.7991644016658d-15, 1.5241283243659d-11,
-     |   4.1092422055025d-09, 2.4970510428422d-07, 6.1424439906851d-06,
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-     |   1.8023261887776d-02, 6.2364902645138d-02, 1.7352369271592d-01,
-     |   3.9515010592120d-01, 7.4232929741731d-01, 1.1468766256920d+00,
-     |   1.4279467350013d+00, 1.3503297470782d+00, 7.8619910924813d-01,
-     |  -1.1193245293994d-01,-8.9794449984881d-01,-1.0802448157552d+00,
-     |  -5.0932538342562d-01, 4.1601308591835d-01, 9.8048787256297d-01,
-     |   7.1871224282588d-01,-1.5070624632511d-01,-8.6387310642151d-01,
-     |  -7.7558752860463d-01, 3.1467018080279d-02, 7.9426317687569d-01,
-     |   7.8141889721600d-01, 7.2904503437813d-03,-7.6595247868709d-01,
-     |  -7.7218811536027d-01,-6.4155465059323d-03, 7.6317703920172d-01,
-     |   7.6317703920173d-01,-6.4155465059298d-03,-7.7218811536027d-01,
-     |  -7.6595247868709d-01, 7.2904503437783d-03, 7.8141889721600d-01,
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-     |  -8.6387310642150d-01,-1.5070624632511d-01, 7.1871224282587d-01,
-     |   9.8048787256298d-01, 4.1601308591835d-01,-5.0932538342562d-01,
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-     |   7.8619910924813d-01, 1.3503297470782d+00, 1.4279467350013d+00,
-     |   1.1468766256920d+00, 7.4232929741731d-01, 3.9515010592120d-01,
-     |   1.7352369271592d-01, 6.2364902645138d-02, 1.8023261887776d-02,
-     |   4.0701584821018d-03, 6.8793124996065d-04, 8.1574278777014d-05,
-     |   6.1424439906853d-06, 2.4970510428422d-07, 4.1092422055025d-09,
-     |   1.5241283243659d-11, 2.7991644016658d-15, 2.2575075950367d-23/
-      data (pmn(lat,18,29), lat = 1,72)/
-     |   3.2501424034775d-25, 1.2123179512708d-16, 1.1062833218615d-12,
-     |   4.2111352460916d-10, 3.3281091876908d-08, 1.0154761357695d-06,
-     |   1.6232804103843d-05, 1.6152069216331d-04, 1.1125694486027d-03,
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-     |   1.8919864488248d-01, 4.1245003070010d-01, 7.5162896246065d-01,
-     |   1.1397892184306d+00, 1.4096106922042d+00, 1.3452878189750d+00,
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-     |  -1.0940317867626d+00,-6.3488178048734d-01, 2.5335226097650d-01,
-     |   9.2257418999972d-01, 8.4940509175501d-01, 8.6512766672632d-02,
-     |  -7.3090576206063d-01,-8.9903631416699d-01,-2.6873936472490d-01,
-     |   5.9396937051916d-01, 9.0151769566632d-01, 3.6985807918647d-01,
-     |  -5.0383637379018d-01,-8.9695488374716d-01,-4.3767732196117d-01,
-     |   4.3767732196117d-01, 8.9695488374716d-01, 5.0383637379018d-01,
-     |  -3.6985807918647d-01,-9.0151769566632d-01,-5.9396937051916d-01,
-     |   2.6873936472490d-01, 8.9903631416698d-01, 7.3090576206063d-01,
-     |  -8.6512766672630d-02,-8.4940509175501d-01,-9.2257418999972d-01,
-     |  -2.5335226097651d-01, 6.3488178048734d-01, 1.0940317867626d+00,
-     |   8.2772899359939d-01, 3.2827951029767d-02,-8.2333071056599d-01,
-     |  -1.3452878189750d+00,-1.4096106922042d+00,-1.1397892184306d+00,
-     |  -7.5162896246065d-01,-4.1245003070010d-01,-1.8919864488248d-01,
-     |  -7.2183203381668d-02,-2.2605564022051d-02,-5.6865479029536d-03,
-     |  -1.1125694486027d-03,-1.6152069216331d-04,-1.6232804103843d-05,
-     |  -1.0154761357695d-06,-3.3281091876908d-08,-4.2111352460916d-10,
-     |  -1.1062833218615d-12,-1.2123179512708d-16,-3.2501424034775d-25/
-      data (pmn(lat,19,29), lat = 1,72)/
-     |   4.2890263743193d-27, 4.8115149433878d-18, 7.3548260351144d-14,
-     |   3.9496947307020d-11, 4.0553501916385d-09, 1.5326413018581d-07,
-     |   2.9435844097683d-06, 3.4477131406269d-05, 2.7564870167237d-04,
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-     |   7.5670421368871d-02, 8.8294728978433d-01, 1.3505068721684d+00,
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-     |   2.7564870167237d-04, 3.4477131406270d-05, 2.9435844097683d-06,
-     |   1.5326413018582d-07, 4.0553501916385d-09, 3.9496947307020d-11,
-     |   7.3548260351144d-14, 4.8115149433878d-18, 4.2890263743193d-27/
-      data (pmn(lat,20,29), lat = 1,72)/
-     |   5.1797458615688d-29, 1.7472287840621d-19, 4.4719449394679d-15,
-     |   3.3857973863512d-12, 4.5122872599946d-10, 2.1097335380184d-08,
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-     |  -9.1043766886545d-01,-1.9429946241291d-01, 6.2964909457293d-01,
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-     |  -8.6017071541927d-01,-8.4246155103652d-01,-1.5120126381182d-01,
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-     |  -6.2964909457293d-01, 1.9429946241291d-01, 9.1043766886544d-01,
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-     |  -8.9069601635365d-03,-2.1577537665462d-03,-4.1708797557456d-04,
-     |  -6.1918296113139d-05,-6.6886017301415d-06,-4.8607922770141d-07,
-     |  -2.1097335380185d-08,-4.5122872599946d-10,-3.3857973863512d-12,
-     |  -4.4719449394679d-15,-1.7472287840621d-19,-5.1797458615688d-29/
-      data (pmn(lat,21,29), lat = 1,72)/
-     |   5.7090962859621d-31, 5.7895998462186d-21, 2.4802315718760d-16,
-     |   2.6459723653309d-13, 4.5735504524244d-11, 2.6427689502198d-09,
-     |   7.2948562349291d-08, 1.1773599143649d-06, 1.2594102242917d-05,
-     |   9.6993250910185d-05, 5.6947410098155d-04, 2.6551015434708d-03,
-     |   1.0126190138814d-02, 3.2284245676716d-02, 8.7398504033398d-02,
-     |   2.0305439622739d-01, 4.0734656332546d-01, 7.0649355553863d-01,
-     |   1.0541404452892d+00, 1.3331099229491d+00, 1.3791409787451d+00,
-     |   1.0612469564722d+00, 3.9066313834481d-01,-4.1558758275142d-01,
-     |  -9.9417808830449d-01,-1.0280158982228d+00,-4.7149303523972d-01,
-     |   3.5897575087598d-01, 9.3974616346761d-01, 8.7848459211683d-01,
-     |   2.0824528445578d-01,-6.0128757053119d-01,-9.6301738656438d-01,
-     |  -6.0694983063945d-01, 2.0307704309599d-01, 8.5614302425871d-01,
-     |   8.5614302425871d-01, 2.0307704309599d-01,-6.0694983063945d-01,
-     |  -9.6301738656438d-01,-6.0128757053119d-01, 2.0824528445578d-01,
-     |   8.7848459211683d-01, 9.3974616346762d-01, 3.5897575087598d-01,
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-     |  -4.1558758275142d-01, 3.9066313834481d-01, 1.0612469564722d+00,
-     |   1.3791409787451d+00, 1.3331099229491d+00, 1.0541404452892d+00,
-     |   7.0649355553863d-01, 4.0734656332546d-01, 2.0305439622739d-01,
-     |   8.7398504033397d-02, 3.2284245676716d-02, 1.0126190138814d-02,
-     |   2.6551015434708d-03, 5.6947410098155d-04, 9.6993250910187d-05,
-     |   1.2594102242917d-05, 1.1773599143649d-06, 7.2948562349291d-08,
-     |   2.6427689502199d-09, 4.5735504524244d-11, 2.6459723653309d-13,
-     |   2.4802315718760d-16, 5.7895998462186d-21, 5.7090962859621d-31/
-      data (pmn(lat,22,29), lat = 1,72)/
-     |   5.7192391205623d-33, 1.7433765710014d-22, 1.2496656369141d-17,
-     |   1.8776017086211d-14, 4.2064130649101d-12, 3.0013127794863d-10,
-     |   9.9143467401256d-09, 1.8742157684242d-07, 2.3126458414743d-06,
-     |   2.0320452287825d-05, 1.3504912085127d-04, 7.0887169016885d-04,
-     |   3.0335166899904d-03, 1.0836259578623d-02, 3.2884708304455d-02,
-     |   8.5872814124373d-02, 1.9466430578011d-01, 3.8501306298359d-01,
-     |   6.6505689361327d-01, 9.9914866403749d-01, 1.2896833754692d+00,
-     |   1.3907890723220d+00, 1.1692007678333d+00, 5.9694520346732d-01,
-     |  -1.7795630328985d-01,-8.5007444826434d-01,-1.0926413869943d+00,
-     |  -7.5633354814297d-01,-4.2911193153263d-03, 7.3530073192763d-01,
-     |   1.0093159501596d+00, 6.3606879316086d-01,-1.4940752301570d-01,
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-     |  -7.3530073192763d-01, 4.2911193153197d-03, 7.5633354814297d-01,
-     |   1.0926413869943d+00, 8.5007444826435d-01, 1.7795630328986d-01,
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-     |  -1.2896833754692d+00,-9.9914866403750d-01,-6.6505689361328d-01,
-     |  -3.8501306298359d-01,-1.9466430578011d-01,-8.5872814124374d-02,
-     |  -3.2884708304455d-02,-1.0836259578623d-02,-3.0335166899904d-03,
-     |  -7.0887169016885d-04,-1.3504912085127d-04,-2.0320452287825d-05,
-     |  -2.3126458414744d-06,-1.8742157684243d-07,-9.9143467401256d-09,
-     |  -3.0013127794864d-10,-4.2064130649101d-12,-1.8776017086211d-14,
-     |  -1.2496656369141d-17,-1.7433765710014d-22,-5.7192391205623d-33/
-      data (pmn(lat,23,29), lat = 1,72)/
-     |   5.1762731842311d-35, 4.7422272658621d-24, 5.6862155525371d-19,
-     |   1.2027205969713d-15, 3.4902745008744d-13, 3.0727166731875d-11,
-     |   1.2135421260832d-09, 2.6838531870911d-08, 3.8146019587807d-07,
-     |   3.8172748363951d-06, 2.8654770397525d-05, 1.6888321842364d-04,
-     |   8.0825591495367d-04, 3.2216402256463d-03, 1.0901974215451d-02,
-     |   3.1778536612298d-02, 8.0653728957305d-02, 1.7956516317767d-01,
-     |   3.5223206621206d-01, 6.0940012652541d-01, 9.2701152805376d-01,
-     |   1.2282589253673d+00, 1.3881036829698d+00, 1.2753857001257d+00,
-     |   8.2739473696888d-01, 1.2158264051266d-01,-6.0959603320650d-01,
-     |  -1.0583653588239d+00,-9.9828343951000d-01,-4.3579358700049d-01,
-     |   3.4911476898817d-01, 9.2838093486542d-01, 9.6652768421697d-01,
-     |   4.3345909702106d-01,-3.5709833836917d-01,-9.2687722546470d-01,
-     |  -9.2687722546470d-01,-3.5709833836917d-01, 4.3345909702105d-01,
-     |   9.6652768421697d-01, 9.2838093486542d-01, 3.4911476898817d-01,
-     |  -4.3579358700049d-01,-9.9828343951000d-01,-1.0583653588239d+00,
-     |  -6.0959603320650d-01, 1.2158264051266d-01, 8.2739473696887d-01,
-     |   1.2753857001257d+00, 1.3881036829698d+00, 1.2282589253673d+00,
-     |   9.2701152805377d-01, 6.0940012652541d-01, 3.5223206621206d-01,
-     |   1.7956516317767d-01, 8.0653728957306d-02, 3.1778536612298d-02,
-     |   1.0901974215451d-02, 3.2216402256463d-03, 8.0825591495368d-04,
-     |   1.6888321842364d-04, 2.8654770397525d-05, 3.8172748363951d-06,
-     |   3.8146019587808d-07, 2.6838531870911d-08, 1.2135421260832d-09,
-     |   3.0727166731876d-11, 3.4902745008744d-13, 1.2027205969713d-15,
-     |   5.6862155525371d-19, 4.7422272658621d-24, 5.1762731842311d-35/
-      data (pmn(lat,24,29), lat = 1,72)/
-     |   4.1963245151897d-37, 1.1552981748928d-25, 2.3166872204231d-20,
-     |   6.8957029757926d-17, 2.5908225822501d-14, 2.8123961276919d-12,
-     |   1.3268671116884d-10, 3.4295377826196d-09, 5.6077199164988d-08,
-     |   6.3813970557162d-07, 5.4007292543467d-06, 3.5661139030024d-05,
-     |   1.9035738047089d-04, 8.4382239591265d-04, 3.1709939851845d-03,
-     |   1.0263923849688d-02, 2.8967668566331d-02, 7.1942855187963d-02,
-     |   1.5826168841448d-01, 3.0961456093883d-01, 5.3938757133732d-01,
-     |   8.3515146883848d-01, 1.1416271045610d+00, 1.3577118908979d+00,
-     |   1.3613140799881d+00, 1.0641465453969d+00, 4.7709093106058d-01,
-     |  -2.5249110530308d-01,-8.6954578804609d-01,-1.1143477634612d+00,
-     |  -8.5948652882447d-01,-2.0416382021892d-01, 5.4359034504832d-01,
-     |   1.0083111908000d+00, 9.4537916376371d-01, 3.8293317214047d-01,
-     |  -3.8293317214047d-01,-9.4537916376371d-01,-1.0083111908000d+00,
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-     |   1.1143477634612d+00, 8.6954578804609d-01, 2.5249110530308d-01,
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-     |  -1.3577118908979d+00,-1.1416271045610d+00,-8.3515146883848d-01,
-     |  -5.3938757133732d-01,-3.0961456093883d-01,-1.5826168841448d-01,
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-     |  -3.1709939851845d-03,-8.4382239591264d-04,-1.9035738047090d-04,
-     |  -3.5661139030024d-05,-5.4007292543467d-06,-6.3813970557163d-07,
-     |  -5.6077199164989d-08,-3.4295377826196d-09,-1.3268671116884d-10,
-     |  -2.8123961276920d-12,-2.5908225822501d-14,-6.8957029757926d-17,
-     |  -2.3166872204231d-20,-1.1552981748928d-25,-4.1963245151897d-37/
-      data (pmn(lat,25,29), lat = 1,72)/
-     |   3.0092254927201d-39, 2.4893919689928d-27, 8.3465181076968d-22,
-     |   3.4949683502612d-18, 1.6993045484364d-15, 2.2731783419322d-13,
-     |   1.2802289593800d-11, 3.8637922565578d-10, 7.2603443863207d-09,
-     |   9.3831746517225d-08, 8.9393382989182d-07, 6.6007331067133d-06,
-     |   3.9210639524279d-05, 1.9277759951217d-04, 8.0180959309068d-04,
-     |   2.8700387746321d-03, 8.9607507568848d-03, 2.4660527512295d-02,
-     |   6.0305935663856d-02, 1.3182001019461d-01, 2.5855076044208d-01,
-     |   4.5583957925011d-01, 7.2186704494058d-01, 1.0225886067073d+00,
-     |   1.2837324878157d+00, 1.4010294502107d+00, 1.2747972383373d+00,
-     |   8.6176925088496d-01, 2.2114205951263d-01,-4.7586253031598d-01,
-     |  -9.9324792993401d-01,-1.1261612524644d+00,-8.0452306371475d-01,
-     |  -1.4783258741345d-01, 5.6854939957288d-01, 1.0303062332061d+00,
-     |   1.0303062332061d+00, 5.6854939957288d-01,-1.4783258741345d-01,
-     |  -8.0452306371475d-01,-1.1261612524644d+00,-9.9324792993401d-01,
-     |  -4.7586253031598d-01, 2.2114205951262d-01, 8.6176925088496d-01,
-     |   1.2747972383373d+00, 1.4010294502107d+00, 1.2837324878157d+00,
-     |   1.0225886067073d+00, 7.2186704494058d-01, 4.5583957925011d-01,
-     |   2.5855076044208d-01, 1.3182001019461d-01, 6.0305935663856d-02,
-     |   2.4660527512295d-02, 8.9607507568848d-03, 2.8700387746321d-03,
-     |   8.0180959309067d-04, 1.9277759951217d-04, 3.9210639524280d-05,
-     |   6.6007331067133d-06, 8.9393382989182d-07, 9.3831746517226d-08,
-     |   7.2603443863209d-09, 3.8637922565578d-10, 1.2802289593800d-11,
-     |   2.2731783419323d-13, 1.6993045484364d-15, 3.4949683502612d-18,
-     |   8.3465181076968d-22, 2.4893919689928d-27, 3.0092254927201d-39/
-      data (pmn(lat,26,29), lat = 1,72)/
-     |   1.8729724608494d-41, 4.6552426083966d-29, 2.6092157793795d-23,
-     |   1.5365543703028d-19, 9.6643316653941d-17, 1.5923365391359d-14,
-     |   1.0698301593391d-12, 3.7672168959369d-11, 8.1273596751886d-10,
-     |   1.1915668618498d-08, 1.2761842198595d-07, 1.0520941024576d-06,
-     |   6.9419505587672d-06, 3.7767765724528d-05, 1.7338850772456d-04,
-     |   6.8405877963517d-04, 2.3530607806799d-03, 7.1394001111346d-03,
-     |   1.9283047068633d-02, 4.6699528138616d-02, 1.0196625581146d-01,
-     |   2.0150697499929d-01, 3.6123355037375d-01, 5.8767420435229d-01,
-     |   8.6603096785488d-01, 1.1501749355051d+00, 1.3623426185587d+00,
-     |   1.4094174344440d+00, 1.2163560626145d+00, 7.6693863305997d-01,
-     |   1.3285065690543d-01,-5.2895133266651d-01,-1.0196260249748d+00,
-     |  -1.1716082457387d+00,-9.2169391123860d-01,-3.4843768015284d-01,
-     |   3.4843768015284d-01, 9.2169391123860d-01, 1.1716082457387d+00,
-     |   1.0196260249748d+00, 5.2895133266651d-01,-1.3285065690544d-01,
-     |  -7.6693863305997d-01,-1.2163560626145d+00,-1.4094174344440d+00,
-     |  -1.3623426185587d+00,-1.1501749355051d+00,-8.6603096785488d-01,
-     |  -5.8767420435230d-01,-3.6123355037375d-01,-2.0150697499929d-01,
-     |  -1.0196625581146d-01,-4.6699528138616d-02,-1.9283047068633d-02,
-     |  -7.1394001111347d-03,-2.3530607806799d-03,-6.8405877963517d-04,
-     |  -1.7338850772456d-04,-3.7767765724528d-05,-6.9419505587673d-06,
-     |  -1.0520941024576d-06,-1.2761842198595d-07,-1.1915668618498d-08,
-     |  -8.1273596751888d-10,-3.7672168959370d-11,-1.0698301593391d-12,
-     |  -1.5923365391360d-14,-9.6643316653941d-17,-1.5365543703028d-19,
-     |  -2.6092157793795d-23,-4.6552426083966d-29,-1.8729724608494d-41/
-      data (pmn(lat,27,29), lat = 1,72)/
-     |   9.8097143035139d-44, 7.3249207095439d-31, 6.8620217775873d-25,
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-     |   7.5087899638836d-14, 3.0828851181052d-12, 7.6298200487836d-11,
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-      data (pmn(lat,28,29), lat = 1,72)/
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-      data (pmn(lat,29,29), lat = 1,72)/
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-     |   2.0609385196245d-28, 7.8785339743715d-35, 1.1692921550478d-48/
-      data (pmn(lat, 0,30), lat = 1,72)/
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-     |  -1.9356437286780d+00, 1.2486790382463d+00, 4.9282203499807d+00/
-      data (pmn(lat, 1,30), lat = 1,72)/
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-      data (pmn(lat, 2,30), lat = 1,72)/
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-      data (pmn(lat, 3,30), lat = 1,72)/
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-      data (pmn(lat, 4,30), lat = 1,72)/
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-     |   9.7781334018983d-01, 1.8465531401528d-01, 2.7269698628276d-03/
-      data (pmn(lat, 5,30), lat = 1,72)/
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-      data (pmn(lat, 6,30), lat = 1,72)/
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-      data (pmn(lat, 7,30), lat = 1,72)/
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-      data (pmn(lat, 8,30), lat = 1,72)/
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-     |   8.2748925808714d-01, 2.8953844540625d-01, 5.8929541295422d-02,
-     |   5.3980818551631d-03, 1.1027039086303d-04, 1.8508026225681d-08/
-      data (pmn(lat, 9,30), lat = 1,72)/
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-     |   1.5667582258027d-02, 1.0415893534460d-01, 3.9201179078746d-01,
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-     |  -9.9040877085077d-04,-1.1881477226260d-05,-6.5791639269555d-10/
-      data (pmn(lat,10,30), lat = 1,72)/
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-     |   3.6624457470177d-03, 3.2588583232865d-02, 1.5864070080056d-01,
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-     |   1.6084698048795d-04, 1.1376888200455d-06, 2.0822000251432d-11/
-      data (pmn(lat,11,30), lat = 1,72)/
-     |   5.9180113362802d-13, 9.7697026159050d-08, 2.3358743910106d-05,
-     |   7.6185362338840d-04, 9.0050253219240d-03, 5.6036445025570d-02,
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-     |  -2.3358743910106d-05,-9.7697026159050d-08,-5.9180113362802d-13/
-      data (pmn(lat,12,30), lat = 1,72)/
-     |   1.5208240409972d-14, 7.5775997885850d-09, 3.0571507828667d-06,
-     |   1.4230818021385d-04, 2.2221762395410d-03, 1.7532253102043d-02,
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-     |   1.2189838413879d+00, 1.5924088314599d+00, 1.3888856997886d+00,
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-     |  -1.9372942887342d-01, 7.6490262801022d-01, 7.7114484330016d-01,
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-     |   1.7532253102043d-02, 2.2221762395410d-03, 1.4230818021385d-04,
-     |   3.0571507828667d-06, 7.5775997885850d-09, 1.5208240409972d-14/
-      data (pmn(lat,13,30), lat = 1,72)/
-     |   3.5525891626228d-16, 5.3380977446755d-10, 3.6277795606968d-07,
-     |   2.4034636635373d-05, 4.9377421153506d-04, 4.9097746298003d-03,
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-     |  -3.6277795606968d-07,-5.3380977446755d-10,-3.5525891626228d-16/
-      data (pmn(lat,14,30), lat = 1,72)/
-     |   7.5748036114215d-18, 3.4301711023609d-11, 3.9214429126313d-08,
-     |   3.6895899215666d-06, 9.9408859406334d-05, 1.2401332291863d-03,
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-     |   4.5952615973072d-01, 1.0296973983482d+00, 5.5609307146435d-01,
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-     |   1.3137588660768d-01, 8.7442662755533d-01, 5.9968525309166d-01,
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-     |   1.5468042924998d-01, 4.4108797955720d-02, 9.0574041658812d-03,
-     |   1.2401332291863d-03, 9.9408859406334d-05, 3.6895899215666d-06,
-     |   3.9214429126313d-08, 3.4301711023609d-11, 7.5748036114215d-18/
-      data (pmn(lat,15,30), lat = 1,72)/
-     |   1.4788405472479d-19, 2.0171431593718d-12, 3.8749277617857d-09,
-     |   5.1685937200886d-07, 1.8217126396811d-05, 2.8412438446569d-04,
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-     |   1.3354002928696d+00, 1.5132130992204d+00, 1.1417196324391d+00,
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-     |  -6.2567735027097d-02, 7.6302571520847d-01, 6.8030713017098d-01,
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-     |   4.6826891001435d-01, 8.4418697249945d-01, 2.0878853835669d-01,
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-     |   8.2431119096713d-01, 6.2578379206359d-01,-3.0831348030152d-01,
-     |  -9.0399714776233d-01,-4.7758192041831d-01, 4.9970455400480d-01,
-     |   9.5005499919970d-01, 3.7979178156129d-01,-6.1525231827628d-01,
-     |  -1.0148644742215d+00,-4.2085569680611d-01, 6.0399404364928d-01,
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-     |  -6.1189072875795d-02,-1.4708082874081d-02,-2.5241783284176d-03,
-     |  -2.8412438446570d-04,-1.8217126396811d-05,-5.1685937200886d-07,
-     |  -3.8749277617857d-09,-2.0171431593718d-12,-1.4788405472479d-19/
-      data (pmn(lat,16,30), lat = 1,72)/
-     |   2.6495816614804d-21, 1.0881104156247d-13, 3.5091694055034d-10,
-     |   6.6263180857836d-08, 3.0490032256467d-06, 5.9287273894010d-05,
-     |   6.3828017832036d-04, 4.4272826292340d-03, 2.1696169181171d-02,
-     |   7.9648433929939d-02, 2.2733842607049d-01, 5.1555912138705d-01,
-     |   9.3624438009246d-01, 1.3492455453440d+00, 1.4830063693563d+00,
-     |   1.0889186136290d+00, 1.9723482881131d-01,-7.5186448978854d-01,
-     |  -1.1297588065064d+00,-6.3032428077122d-01, 3.6218808548428d-01,
-     |   9.9450740970608d-01, 6.8818405905102d-01,-2.6560747836863d-01,
-     |  -9.2568147303754d-01,-6.2425389624219d-01, 3.2008187374112d-01,
-     |   9.0231030560679d-01, 4.9687518682304d-01,-4.4652653995884d-01,
-     |  -8.7994488421210d-01,-3.2109415051024d-01, 5.9509319775765d-01,
-     |   8.2669681342119d-01, 1.1120761280433d-01,-7.2957740946108d-01,
-     |  -7.2957740946108d-01, 1.1120761280433d-01, 8.2669681342119d-01,
-     |   5.9509319775765d-01,-3.2109415051024d-01,-8.7994488421210d-01,
-     |  -4.4652653995884d-01, 4.9687518682304d-01, 9.0231030560679d-01,
-     |   3.2008187374112d-01,-6.2425389624218d-01,-9.2568147303754d-01,
-     |  -2.6560747836863d-01, 6.8818405905102d-01, 9.9450740970608d-01,
-     |   3.6218808548429d-01,-6.3032428077122d-01,-1.1297588065064d+00,
-     |  -7.5186448978854d-01, 1.9723482881130d-01, 1.0889186136290d+00,
-     |   1.4830063693563d+00, 1.3492455453440d+00, 9.3624438009246d-01,
-     |   5.1555912138705d-01, 2.2733842607049d-01, 7.9648433929939d-02,
-     |   2.1696169181171d-02, 4.4272826292341d-03, 6.3828017832036d-04,
-     |   5.9287273894011d-05, 3.0490032256467d-06, 6.6263180857836d-08,
-     |   3.5091694055034d-10, 1.0881104156247d-13, 2.6495816614804d-21/
-      data (pmn(lat,17,30), lat = 1,72)/
-     |   4.3628781016681d-23, 5.3925022237550d-15, 2.9174320270605d-11,
-     |   7.7896604444383d-09, 4.6715437045543d-07, 1.1299524879131d-05,
-     |   1.4697545101311d-04, 1.2087241024946d-03, 6.9401742620975d-03,
-     |   2.9657322216844d-02, 9.8372815825943d-02, 2.6021202165925d-01,
-     |   5.5724435743326d-01, 9.6947041639554d-01, 1.3539777297251d+00,
-     |   1.4561182581511d+00, 1.0548563149577d+00, 1.8919543346022d-01,
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-     |   2.7963810394598d-01, 9.6255034094665d-01, 7.7181874773175d-01,
-     |  -1.2182187332030d-01,-8.7309420324727d-01,-7.5002217390591d-01,
-     |   1.2200936823067d-01, 8.5122940610996d-01, 6.8175570871435d-01,
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-     |   3.2675046576214d-01, 8.7356350193043d-01, 4.5966088299543d-01,
-     |  -4.5966088299543d-01,-8.7356350193043d-01,-3.2675046576214d-01,
-     |   5.8239108231753d-01, 8.6103595435508d-01, 2.0453986924397d-01,
-     |  -6.8175570871435d-01,-8.5122940610997d-01,-1.2200936823068d-01,
-     |   7.5002217390590d-01, 8.7309420324728d-01, 1.2182187332031d-01,
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-     |  -1.8919543346022d-01,-1.0548563149577d+00,-1.4561182581511d+00,
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-     |  -2.6021202165925d-01,-9.8372815825943d-02,-2.9657322216845d-02,
-     |  -6.9401742620976d-03,-1.2087241024946d-03,-1.4697545101311d-04,
-     |  -1.1299524879131d-05,-4.6715437045543d-07,-7.7896604444383d-09,
-     |  -2.9174320270605d-11,-5.3925022237550d-15,-4.3628781016681d-23/
-      data (pmn(lat,18,30), lat = 1,72)/
-     |   6.6070571811240d-25, 2.4570468026859d-16, 2.2285885176391d-12,
-     |   8.4056680775870d-10, 6.5610274478710d-08, 1.9704430882399d-06,
-     |   3.0890592896013d-05, 3.0025027147022d-04, 2.0114439545884d-03,
-     |   9.9497497874386d-03, 3.8060756712381d-02, 1.1615142912131d-01,
-     |   2.8848955655854d-01, 5.8930859132360d-01, 9.9050453911045d-01,
-     |   1.3512137235918d+00, 1.4346263197096d+00, 1.0410767285854d+00,
-     |   2.0810263013036d-01,-6.9027376164212d-01,-1.1110576483972d+00,
-     |  -7.4216543581594d-01, 1.6870817404590d-01, 9.1021530062543d-01,
-     |   8.5959915725114d-01, 5.5001356635347d-02,-7.7786989979840d-01,
-     |  -8.6198704940449d-01,-1.1694086838179d-01, 7.2899723166790d-01,
-     |   8.3547647332647d-01, 9.6611168969382d-02,-7.3309673574173d-01,
-     |  -8.0021371815632d-01,-3.6266082576483d-02, 7.6284160307954d-01,
-     |   7.6284160307954d-01,-3.6266082576480d-02,-8.0021371815632d-01,
-     |  -7.3309673574173d-01, 9.6611168969379d-02, 8.3547647332647d-01,
-     |   7.2899723166790d-01,-1.1694086838178d-01,-8.6198704940449d-01,
-     |  -7.7786989979840d-01, 5.5001356635343d-02, 8.5959915725113d-01,
-     |   9.1021530062543d-01, 1.6870817404590d-01,-7.4216543581594d-01,
-     |  -1.1110576483972d+00,-6.9027376164213d-01, 2.0810263013036d-01,
-     |   1.0410767285854d+00, 1.4346263197096d+00, 1.3512137235918d+00,
-     |   9.9050453911044d-01, 5.8930859132360d-01, 2.8848955655854d-01,
-     |   1.1615142912131d-01, 3.8060756712381d-02, 9.9497497874387d-03,
-     |   2.0114439545884d-03, 3.0025027147023d-04, 3.0890592896013d-05,
-     |   1.9704430882399d-06, 6.5610274478710d-08, 8.4056680775870d-10,
-     |   2.2285885176391d-12, 2.4570468026859d-16, 6.6070571811240d-25/
-      data (pmn(lat,19,30), lat = 1,72)/
-     |   9.2011955356771d-27, 1.0292583001879d-17, 1.5642839407488d-13,
-     |   8.3276722646768d-11, 8.4504296662505d-09, 3.1462556725438d-07,
-     |   5.9328529801416d-06, 6.7978770528242d-05, 5.2957891570252d-04,
-     |   3.0191823941774d-03, 1.3242465277903d-02, 4.6257523446669d-02,
-     |   1.3176036822710d-01, 3.1066770851593d-01, 6.1072300228996d-01,
-     |   9.9943308001495d-01, 1.3419805197426d+00, 1.4196517472756d+00,
-     |   1.0484572701833d+00, 2.5563044698940d-01,-6.2683237113274d-01,
-     |  -1.0959664163879d+00,-8.2422197337670d-01, 2.4905784532729d-02,
-     |   8.2562863017684d-01, 9.3969275098648d-01, 2.6450039779669d-01,
-     |  -6.2334432350177d-01,-9.3583375182591d-01,-3.8685984799425d-01,
-     |   5.1422265968447d-01, 9.1553273054086d-01, 4.3243893565416d-01,
-     |  -4.6671262098566d-01,-9.0343693627885d-01,-4.4881130266843d-01,
-     |   4.4881130266843d-01, 9.0343693627885d-01, 4.6671262098566d-01,
-     |  -4.3243893565416d-01,-9.1553273054086d-01,-5.1422265968447d-01,
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-     |  -2.6450039779669d-01,-9.3969275098648d-01,-8.2562863017685d-01,
-     |  -2.4905784532732d-02, 8.2422197337670d-01, 1.0959664163879d+00,
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-     |  -6.1072300228996d-01,-3.1066770851593d-01,-1.3176036822710d-01,
-     |  -4.6257523446669d-02,-1.3242465277903d-02,-3.0191823941774d-03,
-     |  -5.2957891570253d-04,-6.7978770528242d-05,-5.9328529801416d-06,
-     |  -3.1462556725439d-07,-8.4504296662505d-09,-8.3276722646768d-11,
-     |  -1.5642839407488d-13,-1.0292583001879d-17,-9.2011955356771d-27/
-      data (pmn(lat,20,30), lat = 1,72)/
-     |   1.1772933410513d-28, 3.9604312303230d-19, 1.0081165227152d-14,
-     |   7.5697013786079d-12, 9.9761686590195d-10, 4.5987396261135d-08,
-     |   1.0413318266234d-06, 1.4035423549325d-05, 1.2680553050698d-04,
-     |   8.3031955794838d-04, 4.1570770652382d-03, 1.6522975444904d-02,
-     |   5.3539218178232d-02, 1.4403905409355d-01, 3.2545269965227d-01,
-     |   6.2062665667613d-01, 9.9612106411302d-01, 1.3264819121497d+00,
-     |   1.4111158411098d+00, 1.0769689554337d+00, 3.3363532223155d-01,
-     |  -5.3471106019213d-01,-1.0667967480081d+00,-9.1664566689542d-01,
-     |  -1.5486334908951d-01, 6.9399753590409d-01, 9.9287126444420d-01,
-     |   4.9849192088451d-01,-3.9382006697053d-01,-9.3646705641358d-01,
-     |  -6.5997166109990d-01, 1.9518582732329d-01, 8.6584573453940d-01,
-     |   7.4457554388573d-01,-5.8448587190259d-02,-8.0462221155074d-01,
-     |  -8.0462221155074d-01,-5.8448587190262d-02, 7.4457554388572d-01,
-     |   8.6584573453940d-01, 1.9518582732329d-01,-6.5997166109990d-01,
-     |  -9.3646705641359d-01,-3.9382006697053d-01, 4.9849192088450d-01,
-     |   9.9287126444420d-01, 6.9399753590409d-01,-1.5486334908951d-01,
-     |  -9.1664566689542d-01,-1.0667967480081d+00,-5.3471106019213d-01,
-     |   3.3363532223154d-01, 1.0769689554337d+00, 1.4111158411098d+00,
-     |   1.3264819121497d+00, 9.9612106411303d-01, 6.2062665667614d-01,
-     |   3.2545269965226d-01, 1.4403905409355d-01, 5.3539218178232d-02,
-     |   1.6522975444904d-02, 4.1570770652382d-03, 8.3031955794839d-04,
-     |   1.2680553050698d-04, 1.4035423549325d-05, 1.0413318266234d-06,
-     |   4.5987396261137d-08, 9.9761686590195d-10, 7.5697013786079d-12,
-     |   1.0081165227152d-14, 3.9604312303230d-19, 1.1772933410513d-28/
-      data (pmn(lat,21,30), lat = 1,72)/
-     |   1.3814308480244d-30, 1.3972715744826d-20, 5.9546439148660d-16,
-     |   6.3026205761142d-13, 1.0778837808575d-10, 6.1450814598867d-09,
-     |   1.6685738468761d-07, 2.6407927052498d-06, 2.7607661098341d-05,
-     |   2.0704286452161d-04, 1.1789923641505d-03, 5.3075434452100d-03,
-     |   1.9445512397032d-02, 5.9202626934943d-02, 1.5195978372606d-01,
-     |   3.3177826603541d-01, 6.1825228080912d-01, 9.8005059866929d-01,
-     |   1.3038677329984d+00, 1.4074188052633d+00, 1.1252334196084d+00,
-     |   4.4369464908832d-01,-4.0661737733565d-01,-1.0110827021420d+00,
-     |  -1.0078804589327d+00,-3.6965919669226d-01, 4.9912671840218d-01,
-     |   9.9068584893157d-01, 7.3505552540088d-01,-8.1721998644430d-02,
-     |  -8.2005068375874d-01,-8.8199053939506d-01,-2.1303181817047d-01,
-     |   6.2910328816801d-01, 9.3141168327968d-01, 4.3498220594937d-01,
-     |  -4.3498220594937d-01,-9.3141168327968d-01,-6.2910328816801d-01,
-     |   2.1303181817047d-01, 8.8199053939506d-01, 8.2005068375874d-01,
-     |   8.1721998644433d-02,-7.3505552540087d-01,-9.9068584893157d-01,
-     |  -4.9912671840219d-01, 3.6965919669226d-01, 1.0078804589327d+00,
-     |   1.0110827021420d+00, 4.0661737733565d-01,-4.4369464908832d-01,
-     |  -1.1252334196084d+00,-1.4074188052633d+00,-1.3038677329984d+00,
-     |  -9.8005059866930d-01,-6.1825228080913d-01,-3.3177826603542d-01,
-     |  -1.5195978372606d-01,-5.9202626934943d-02,-1.9445512397032d-02,
-     |  -5.3075434452100d-03,-1.1789923641505d-03,-2.0704286452162d-04,
-     |  -2.7607661098341d-05,-2.6407927052498d-06,-1.6685738468761d-07,
-     |  -6.1450814598870d-09,-1.0778837808575d-10,-6.3026205761142d-13,
-     |  -5.9546439148660d-16,-1.3972715744826d-20,-1.3814308480244d-30/
-      data (pmn(lat,22,30), lat = 1,72)/
-     |   1.4821733939808d-32, 4.5068360552684d-22, 3.2144423658265d-17,
-     |   4.7933710561138d-14, 1.0630251522978d-11, 7.4880500448588d-10,
-     |   2.4351799740393d-08, 4.5187432225096d-07, 5.4560869577226d-06,
-     |   4.6754470196258d-05, 3.0193730280601d-04, 1.5338567743225d-03,
-     |   6.3241902307610d-03, 2.1654842288108d-02, 6.2617194011806d-02,
-     |   1.5469373408892d-01, 3.2882844150476d-01, 6.0288227125876d-01,
-     |   9.5020854228231d-01, 1.2720241435477d+00, 1.4050304545415d+00,
-     |   1.1898019541427d+00, 5.8615884524572d-01,-2.3426413871644d-01,
-     |  -9.1184686041661d-01,-1.0783876660177d+00,-6.1008273719896d-01,
-     |   2.2757717344722d-01, 8.9553822315022d-01, 9.3134035874205d-01,
-     |   2.9936814870657d-01,-5.4436184606943d-01,-9.6752086316550d-01,
-     |  -6.4350615237527d-01, 1.7953651740795d-01, 8.5837841847823d-01,
-     |   8.5837841847823d-01, 1.7953651740795d-01,-6.4350615237527d-01,
-     |  -9.6752086316550d-01,-5.4436184606943d-01, 2.9936814870657d-01,
-     |   9.3134035874205d-01, 8.9553822315023d-01, 2.2757717344722d-01,
-     |  -6.1008273719896d-01,-1.0783876660177d+00,-9.1184686041662d-01,
-     |  -2.3426413871645d-01, 5.8615884524572d-01, 1.1898019541427d+00,
-     |   1.4050304545415d+00, 1.2720241435477d+00, 9.5020854228231d-01,
-     |   6.0288227125877d-01, 3.2882844150476d-01, 1.5469373408892d-01,
-     |   6.2617194011806d-02, 2.1654842288108d-02, 6.3241902307610d-03,
-     |   1.5338567743225d-03, 3.0193730280601d-04, 4.6754470196258d-05,
-     |   5.4560869577227d-06, 4.5187432225096d-07, 2.4351799740393d-08,
-     |   7.4880500448591d-10, 1.0630251522978d-11, 4.7933710561138d-14,
-     |   3.2144423658265d-17, 4.5068360552684d-22, 1.4821733939808d-32/
-      data (pmn(lat,23,30), lat = 1,72)/
-     |   1.4478241070389d-34, 1.3232623206249d-23, 1.5791000573715d-18,
-     |   3.3160189003357d-15, 9.5301210738576d-13, 8.2877652564258d-11,
-     |   3.2247381703387d-09, 7.0067948416896d-08, 9.7557723023331d-07,
-     |   9.5338086489752d-06, 6.9655759648131d-05, 3.9811818338725d-04,
-     |   1.8403311473738d-03, 7.0533261697603d-03, 2.2833310509633d-02,
-     |   6.3293464947074d-02, 1.5167916140904d-01, 3.1608271705939d-01,
-     |   5.7386516577194d-01, 9.0506486932875d-01, 1.2274309537256d+00,
-     |   1.3980187605178d+00, 1.2641026577555d+00, 7.5848900484824d-01,
-     |  -1.0076602912477d-02,-7.4800348495949d-01,-1.0980020662629d+00,
-     |  -8.5171159619404d-01,-1.2267023387892d-01, 6.6592326812394d-01,
-     |   1.0180836395127d+00, 6.9524833035820d-01,-9.4394810085028d-02,
-     |  -8.1153371461728d-01,-9.5340196008565d-01,-4.1697248655583d-01,
-     |   4.1697248655583d-01, 9.5340196008564d-01, 8.1153371461728d-01,
-     |   9.4394810085030d-02,-6.9524833035820d-01,-1.0180836395127d+00,
-     |  -6.6592326812394d-01, 1.2267023387891d-01, 8.5171159619404d-01,
-     |   1.0980020662629d+00, 7.4800348495949d-01, 1.0076602912481d-02,
-     |  -7.5848900484824d-01,-1.2641026577555d+00,-1.3980187605178d+00,
-     |  -1.2274309537256d+00,-9.0506486932876d-01,-5.7386516577195d-01,
-     |  -3.1608271705939d-01,-1.5167916140904d-01,-6.3293464947074d-02,
-     |  -2.2833310509632d-02,-7.0533261697603d-03,-1.8403311473739d-03,
-     |  -3.9811818338725d-04,-6.9655759648131d-05,-9.5338086489754d-06,
-     |  -9.7557723023333d-07,-7.0067948416897d-08,-3.2247381703387d-09,
-     |  -8.2877652564262d-11,-9.5301210738576d-13,-3.3160189003357d-15,
-     |  -1.5791000573715d-18,-1.3232623206249d-23,-1.4478241070389d-34/
-      data (pmn(lat,24,30), lat = 1,72)/
-     |   1.2796912228199d-36, 3.5150921959878d-25, 7.0164401643424d-20,
-     |   2.0740652256750d-16, 7.7204786631163d-14, 8.2829917752222d-12,
-     |   3.8525555590261d-10, 9.7910686463043d-09, 1.5698601018011d-07,
-     |   1.7466644887225d-06, 1.4408546752171d-05, 9.2424757063563d-05,
-     |   4.7754103542703d-04, 2.0408028002544d-03, 7.3605551068689d-03,
-     |   2.2750182996165d-02, 6.0951211900157d-02, 1.4269833232501d-01,
-     |   2.9340279297216d-01, 5.3072980893493d-01, 8.4270494715597d-01,
-     |   1.1651799571846d+00, 1.3776195207547d+00, 1.3370830433902d+00,
-     |   9.5265747510333d-01, 2.6936911923346d-01,-4.9694532003199d-01,
-     |  -1.0246707853149d+00,-1.0469864750356d+00,-5.2714760736887d-01,
-     |   2.7236149553987d-01, 9.0373399573962d-01, 9.9032668630400d-01,
-     |   4.7125490035355d-01,-3.3799579904746d-01,-9.3063531831659d-01,
-     |  -9.3063531831659d-01,-3.3799579904746d-01, 4.7125490035355d-01,
-     |   9.9032668630400d-01, 9.0373399573962d-01, 2.7236149553987d-01,
-     |  -5.2714760736887d-01,-1.0469864750356d+00,-1.0246707853149d+00,
-     |  -4.9694532003199d-01, 2.6936911923346d-01, 9.5265747510333d-01,
-     |   1.3370830433902d+00, 1.3776195207547d+00, 1.1651799571846d+00,
-     |   8.4270494715598d-01, 5.3072980893493d-01, 2.9340279297216d-01,
-     |   1.4269833232501d-01, 6.0951211900157d-02, 2.2750182996165d-02,
-     |   7.3605551068688d-03, 2.0408028002544d-03, 4.7754103542704d-04,
-     |   9.2424757063563d-05, 1.4408546752171d-05, 1.7466644887226d-06,
-     |   1.5698601018012d-07, 9.7910686463045d-09, 3.8525555590261d-10,
-     |   8.2829917752226d-12, 7.7204786631163d-14, 2.0740652256750d-16,
-     |   7.0164401643424d-20, 3.5150921959878d-25, 1.2796912228199d-36/
-      data (pmn(lat,25,30), lat = 1,72)/
-     |   1.0145436044225d-38, 8.3744078348823d-27, 2.7954416274093d-21,
-     |   1.1627894106593d-17, 5.6034235485052d-15, 7.4118865354992d-13,
-     |   4.1176986220602d-11, 1.2228500940750d-09, 2.2551915050956d-08,
-     |   2.8527245047968d-07, 2.6524468635357d-06, 1.9055811048859d-05,
-     |   1.0977214768124d-04, 5.2147001211846d-04, 2.0873816493694d-03,
-     |   7.1589697046809d-03, 2.1308813599109d-02, 5.5584990755552d-02,
-     |   1.2796751738562d-01, 2.6117779333648d-01, 4.7343872783767d-01,
-     |   7.6120539882173d-01, 1.0793210334304d+00, 1.3320923863434d+00,
-     |   1.3917783551498d+00, 1.1515575111102d+00, 5.9737543461825d-01,
-     |  -1.4133745712117d-01,-8.0779973535728d-01,-1.1187005574344d+00,
-     |  -9.1351254054502d-01,-2.6910344033988d-01, 5.0378373021135d-01,
-     |   1.0049232486708d+00, 9.6185086818254d-01, 3.9261237718284d-01,
-     |  -3.9261237718284d-01,-9.6185086818254d-01,-1.0049232486708d+00,
-     |  -5.0378373021135d-01, 2.6910344033987d-01, 9.1351254054502d-01,
-     |   1.1187005574344d+00, 8.0779973535728d-01, 1.4133745712117d-01,
-     |  -5.9737543461824d-01,-1.1515575111102d+00,-1.3917783551498d+00,
-     |  -1.3320923863434d+00,-1.0793210334304d+00,-7.6120539882173d-01,
-     |  -4.7343872783767d-01,-2.6117779333648d-01,-1.2796751738562d-01,
-     |  -5.5584990755552d-02,-2.1308813599109d-02,-7.1589697046810d-03,
-     |  -2.0873816493694d-03,-5.2147001211846d-04,-1.0977214768124d-04,
-     |  -1.9055811048859d-05,-2.6524468635357d-06,-2.8527245047968d-07,
-     |  -2.2551915050956d-08,-1.2228500940750d-09,-4.1176986220602d-11,
-     |  -7.4118865354996d-13,-5.6034235485052d-15,-1.1627894106593d-17,
-     |  -2.7954416274093d-21,-8.3744078348823d-27,-1.0145436044225d-38/
-      data (pmn(lat,26,30), lat = 1,72)/
-     |   7.1239271695519d-41, 1.7668948893340d-28, 9.8613031213457d-23,
-     |   5.7702446145336d-19, 3.5982520637411d-16, 5.8648864706379d-14,
-     |   3.8891104821266d-12, 1.3484664032143d-10, 2.8575030458118d-09,
-     |   4.1044862734103d-08, 4.2952082679440d-07, 3.4499531311445d-06,
-     |   2.2110613272538d-05, 1.1645873311040d-04, 5.1576172539844d-04,
-     |   1.9552130268167d-03, 6.4344237182912d-03, 1.8585685628221d-02,
-     |   4.7521450653455d-02, 1.0823710046333d-01, 2.2053413877120d-01,
-     |   4.0281591408744d-01, 6.5936349119717d-01, 9.6379383231448d-01,
-     |   1.2473349096322d+00, 1.4044493683278d+00, 1.3249129543823d+00,
-     |   9.4816963511733d-01, 3.1726750646056d-01,-4.0204275299310d-01,
-     |  -9.6362002403520d-01,-1.1410574682146d+00,-8.4342448495657d-01,
-     |  -1.8274571172112d-01, 5.5531220208624d-01, 1.0359148987496d+00,
-     |   1.0359148987496d+00, 5.5531220208624d-01,-1.8274571172112d-01,
-     |  -8.4342448495657d-01,-1.1410574682146d+00,-9.6362002403520d-01,
-     |  -4.0204275299311d-01, 3.1726750646056d-01, 9.4816963511733d-01,
-     |   1.3249129543823d+00, 1.4044493683278d+00, 1.2473349096322d+00,
-     |   9.6379383231449d-01, 6.5936349119717d-01, 4.0281591408744d-01,
-     |   2.2053413877121d-01, 1.0823710046333d-01, 4.7521450653456d-02,
-     |   1.8585685628221d-02, 6.4344237182913d-03, 1.9552130268167d-03,
-     |   5.1576172539844d-04, 1.1645873311040d-04, 2.2110613272538d-05,
-     |   3.4499531311445d-06, 4.2952082679440d-07, 4.1044862734104d-08,
-     |   2.8575030458118d-09, 1.3484664032143d-10, 3.8891104821266d-12,
-     |   5.8648864706382d-14, 3.5982520637411d-16, 5.7702446145336d-19,
-     |   9.8613031213457d-23, 1.7668948893340d-28, 7.1239271695519d-41/
-      data (pmn(lat,27,30), lat = 1,72)/
-     |   4.3467165814473d-43, 3.2390760345718d-30, 3.0219876678357d-24,
-     |   2.4868005180585d-20, 2.0059417262261d-17, 4.0268608675512d-15,
-     |   3.1853541171803d-13, 1.2885353456452d-11, 3.1346657565974d-10,
-     |   5.1073497948365d-09, 6.0076991122642d-08, 5.3867869683364d-07,
-     |   3.8340651938215d-06, 2.2342469615491d-05, 1.0919157707400d-04,
-     |   4.5610677787006d-04, 1.6531594372819d-03, 5.2622312168591d-03,
-     |   1.4852793872692d-02, 3.7455911801300d-02, 8.4883814996810d-02,
-     |   1.7359013248069d-01, 3.2115140558231d-01, 5.3787554373757d-01,
-     |   8.1427511793042d-01, 1.1090204729581d+00, 1.3456408323708d+00,
-     |   1.4264302397647d+00, 1.2660781537763d+00, 8.3616617793268d-01,
-     |   2.0030769730020d-01,-4.8342127449665d-01,-1.0053410718739d+00,
-     |  -1.1825627259802d+00,-9.4056334459527d-01,-3.5724405763081d-01,
-     |   3.5724405763080d-01, 9.4056334459527d-01, 1.1825627259802d+00,
-     |   1.0053410718739d+00, 4.8342127449665d-01,-2.0030769730020d-01,
-     |  -8.3616617793268d-01,-1.2660781537763d+00,-1.4264302397647d+00,
-     |  -1.3456408323708d+00,-1.1090204729581d+00,-8.1427511793042d-01,
-     |  -5.3787554373757d-01,-3.2115140558231d-01,-1.7359013248069d-01,
-     |  -8.4883814996811d-02,-3.7455911801300d-02,-1.4852793872692d-02,
-     |  -5.2622312168591d-03,-1.6531594372819d-03,-4.5610677787006d-04,
-     |  -1.0919157707400d-04,-2.2342469615491d-05,-3.8340651938216d-06,
-     |  -5.3867869683364d-07,-6.0076991122642d-08,-5.1073497948366d-09,
-     |  -3.1346657565974d-10,-1.2885353456452d-11,-3.1853541171803d-13,
-     |  -4.0268608675514d-15,-2.0059417262261d-17,-2.4868005180585d-20,
-     |  -3.0219876678357d-24,-3.2390760345718d-30,-4.3467165814473d-43/
-      data (pmn(lat,28,30), lat = 1,72)/
-     |   2.2341468944462d-45, 5.0015534449499d-32, 7.7992594116297d-26,
-     |   9.0236407125749d-22, 9.4122150988900d-19, 2.3261149709626d-16,
-     |   2.1937531693098d-14, 1.0346410967228d-12, 2.8872934430156d-11,
-     |   5.3311527229077d-10, 7.0410950525051d-09, 7.0386141728003d-08,
-     |   5.5550629060017d-07, 3.5749331509388d-06, 1.9238167098841d-05,
-     |   8.8317144713022d-05, 3.5145071892569d-04, 1.2281352975839d-03,
-     |   3.8085712176224d-03, 1.0571304853479d-02, 2.6445233610867d-02,
-     |   5.9951670443755d-02, 1.2368377844128d-01, 2.3289836700193d-01,
-     |   4.0095000133414d-01, 6.3121758234977d-01, 9.0724962672138d-01,
-     |   1.1854534626189d+00, 1.3962080633732d+00, 1.4579441415884d+00,
-     |   1.3037127507350d+00, 9.1252508221784d-01, 3.3201993547997d-01,
-     |  -3.2099623050761d-01,-8.8803683786609d-01,-1.2177258351807d+00,
-     |  -1.2177258351807d+00,-8.8803683786609d-01,-3.2099623050761d-01,
-     |   3.3201993547997d-01, 9.1252508221784d-01, 1.3037127507350d+00,
-     |   1.4579441415884d+00, 1.3962080633732d+00, 1.1854534626189d+00,
-     |   9.0724962672138d-01, 6.3121758234977d-01, 4.0095000133414d-01,
-     |   2.3289836700193d-01, 1.2368377844128d-01, 5.9951670443755d-02,
-     |   2.6445233610867d-02, 1.0571304853479d-02, 3.8085712176225d-03,
-     |   1.2281352975839d-03, 3.5145071892570d-04, 8.8317144713023d-05,
-     |   1.9238167098841d-05, 3.5749331509387d-06, 5.5550629060018d-07,
-     |   7.0386141728003d-08, 7.0410950525051d-09, 5.3311527229078d-10,
-     |   2.8872934430156d-11, 1.0346410967228d-12, 2.1937531693098d-14,
-     |   2.3261149709627d-16, 9.4122150988900d-19, 9.0236407125749d-22,
-     |   7.7992594116297d-26, 5.0015534449499d-32, 2.2341468944462d-45/
-      data (pmn(lat,29,30), lat = 1,72)/
-     |   9.1302903959538d-48, 6.1401569863975d-34, 1.6000772583595d-27,
-     |   2.6022701845041d-23, 3.5088354796070d-20, 1.0671463323594d-17,
-     |   1.1993234795327d-15, 6.5909447686342d-14, 2.1083949424396d-12,
-     |   4.4080787474106d-11, 6.5305993367531d-10, 7.2699332126492d-09,
-     |   6.3536636093889d-08, 4.5084732232520d-07, 2.6666226411814d-06,
-     |   1.3424533546042d-05, 5.8500921686910d-05, 2.2372794443675d-04,
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-      data (pmn(lat,30,30), lat = 1,72)/
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-     |   2.2622994239214d-29, 5.1955703800246d-36, 2.5719661994874d-50/
-      data (pmn(lat, 0,31), lat = 1,72)/
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-      data (pmn(lat, 1,31), lat = 1,72)/
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-     |   9.2316978201170d-01, 3.2115690894894d+00, 1.8167560511811d+00/
-      data (pmn(lat, 2,31), lat = 1,72)/
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-     |  -2.6195123724163d+00,-2.0556763267139d+00,-3.1810847555442d-01/
-      data (pmn(lat, 3,31), lat = 1,72)/
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-      data (pmn(lat, 4,31), lat = 1,72)/
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-      data (pmn(lat, 5,31), lat = 1,72)/
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-     |   4.1359035866963d-01, 4.4639469785351d-02, 2.1515395351131d-04/
-      data (pmn(lat, 6,31), lat = 1,72)/
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-      data (pmn(lat, 7,31), lat = 1,72)/
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-      data (pmn(lat, 8,31), lat = 1,72)/
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-      data (pmn(lat, 9,31), lat = 1,72)/
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-      data (pmn(lat,10,31), lat = 1,72)/
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-      data (pmn(lat,11,31), lat = 1,72)/
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-      data (pmn(lat,12,31), lat = 1,72)/
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-      data (pmn(lat,13,31), lat = 1,72)/
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-      data (pmn(lat,14,31), lat = 1,72)/
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-     |  -6.4037224583336d-08,-5.6464150807874d-11,-1.2518285060130d-17/
-      data (pmn(lat,15,31), lat = 1,72)/
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-     |   6.5998221326446d-09, 3.4614051056389d-12, 2.5470959453259d-19/
-      data (pmn(lat,16,31), lat = 1,72)/
-     |   4.7642816946459d-21, 1.9497555498618d-13, 6.2439650710098d-10,
-     |   1.1665053722623d-07, 5.2900035162555d-06, 1.0095898335411d-04,
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-     |  -6.2439650710098d-10,-1.9497555498618d-13,-4.7642816946459d-21/
-      data (pmn(lat,17,31), lat = 1,72)/
-     |   8.2064812997111d-23, 1.0109878491589d-14, 5.4334885852305d-11,
-     |   1.4362373249127d-08, 8.4964187079483d-07, 2.0194883512294d-05,
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-     |   1.1457790358843d-02, 2.0592945586666d-03, 2.5705692320059d-04,
-     |   2.0194883512295d-05, 8.4964187079483d-07, 1.4362373249127d-08,
-     |   5.4334885852305d-11, 1.0109878491589d-14, 8.2064812997111d-23/
-      data (pmn(lat,18,31), lat = 1,72)/
-     |   1.3030800941215d-24, 4.8308528145293d-16, 4.3542896577950d-12,
-     |   1.6267848261086d-09, 1.2535342187589d-07, 3.7032949206734d-06,
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-     |  -4.3542896577950d-12,-4.8308528145293d-16,-1.3030800941215d-24/
-      data (pmn(lat,19,31), lat = 1,72)/
-     |   1.9080236735914d-26, 2.1280372012705d-17, 3.2150387576064d-13,
-     |   1.6962110398139d-10, 1.7003662086498d-08, 6.2333058337105d-07,
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-     |   9.5590194093703d-01, 2.5654762993835d-01,-6.6326305751351d-01,
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-     |   6.2333058337107d-07, 1.7003662086498d-08, 1.6962110398139d-10,
-     |   3.2150387576064d-13, 2.1280372012705d-17, 1.9080236735914d-26/
-      data (pmn(lat,20,31), lat = 1,72)/
-     |   2.5752902695425d-28, 8.6389467463983d-19, 2.1866034261051d-14,
-     |   1.6278605372054d-11, 2.1206988312519d-09, 9.6332106890632d-08,
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-     |   1.5822632627271d-03, 7.6532777364709d-03, 2.9225431504994d-02,
-     |   9.0383664956012d-02, 2.3020156749621d-01, 4.8725660071011d-01,
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-     |   1.2226532548969d+00, 5.2853931218966d-01,-3.9334940744912d-01,
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-     |  -2.1866034261051d-14,-8.6389467463983d-19,-2.5752902695425d-28/
-      data (pmn(lat,21,31), lat = 1,72)/
-     |   3.2002987003015d-30, 3.2283072745914d-20, 1.3683725157532d-15,
-     |   1.4365603687967d-12, 2.4299313694138d-10, 1.3661104583418d-08,
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-     |   5.0628126434317d-01, 8.6817398778182d-01, 1.2386951802733d+00,
-     |   1.4277314687394d+00, 1.2284859902024d+00, 5.7575603275493d-01,
-     |  -3.1706897810735d-01,-9.9339984609368d-01,-1.0224583699724d+00,
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-     |   6.2761104567321d-01,-2.7002375196605d-01,-9.1503825494969d-01,
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-     |  -1.0224583699724d+00,-9.9339984609368d-01,-3.1706897810735d-01,
-     |   5.7575603275492d-01, 1.2284859902024d+00, 1.4277314687394d+00,
-     |   1.2386951802733d+00, 8.6817398778182d-01, 5.0628126434317d-01,
-     |   2.4829741631904d-01, 1.0247702575028d-01, 3.5362381938275d-02,
-     |   1.0072337315350d-02, 2.3217163446804d-03, 4.2101918697796d-04,
-     |   5.7722299811905d-05, 5.6550406502443d-06, 3.6466294609849d-07,
-     |   1.3661104583418d-08, 2.4299313694138d-10, 1.4365603687967d-12,
-     |   1.3683725157532d-15, 3.2283072745914d-20, 3.2002987003015d-30/
-      data (pmn(lat,22,31), lat = 1,72)/
-     |   3.6541108900350d-32, 1.1082509487759d-21, 7.8637545663239d-17,
-     |   1.1635327201595d-13, 2.5534075818974d-11, 1.7748801191636d-09,
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-     |   1.2232843249995d+00, 1.4164017355468d+00, 1.2516635335344d+00,
-     |   6.5481774642012d-01,-2.0395334585440d-01,-9.2101057736251d-01,
-     |  -1.0731657674110d+00,-5.3347676702642d-01, 3.5698596943725d-01,
-     |   9.6398929826403d-01, 8.2121108853797d-01, 3.0164257810548d-02,
-     |  -7.7203069783907d-01,-9.1525162493377d-01,-2.7358553186194d-01,
-     |   6.0017070358817d-01, 9.4049527805224d-01, 4.4560304013988d-01,
-     |  -4.4560304013988d-01,-9.4049527805223d-01,-6.0017070358817d-01,
-     |   2.7358553186194d-01, 9.1525162493376d-01, 7.7203069783907d-01,
-     |  -3.0164257810545d-02,-8.2121108853797d-01,-9.6398929826403d-01,
-     |  -3.5698596943725d-01, 5.3347676702641d-01, 1.0731657674110d+00,
-     |   9.2101057736251d-01, 2.0395334585440d-01,-6.5481774642012d-01,
-     |  -1.2516635335344d+00,-1.4164017355468d+00,-1.2232843249995d+00,
-     |  -8.6458985677077d-01,-5.1387807784717d-01,-2.5956756528239d-01,
-     |  -1.1159825761277d-01,-4.0649552253589d-02,-1.2418876745497d-02,
-     |  -3.1329574321925d-03,-6.3831736117615d-04,-1.0186028944095d-04,
-     |  -1.2201947104170d-05,-1.0336757137483d-06,-5.6791713574606d-08,
-     |  -1.7748801191636d-09,-2.5534075818974d-11,-1.1635327201595d-13,
-     |  -7.8637545663239d-17,-1.1082509487759d-21,-3.6541108900350d-32/
-      data (pmn(lat,23,31), lat = 1,72)/
-     |   3.8215498313348d-34, 3.4841753748396d-23, 4.1372934246777d-18,
-     |   8.6234719315562d-15, 2.4535933799460d-12, 2.1068128237927d-10,
-     |   8.0717214879301d-09, 1.7219221512117d-07, 2.3466148420322d-06,
-     |   2.2371806226486d-05, 1.5888917283840d-04, 8.7932070538956d-04,
-     |   3.9185735813476d-03, 1.4406686661670d-02, 4.4480929922357d-02,
-     |   1.1679381545987d-01, 2.6289476066923d-01, 5.0905108416330d-01,
-     |   8.4629473585676d-01, 1.1962932280337d+00, 1.4037396624549d+00,
-     |   1.2893975404560d+00, 7.6540122664945d-01,-4.7723767081311d-02,
-     |  -8.0677851937159d-01,-1.1031690259563d+00,-7.3519420732042d-01,
-     |   9.2799637848384d-02, 8.3836109235207d-01, 9.7311033693652d-01,
-     |   3.8742269932432d-01,-4.8448124122198d-01,-9.6838696923123d-01,
-     |  -6.7859452836921d-01, 1.5598076954436d-01, 8.6045804420426d-01,
-     |   8.6045804420426d-01, 1.5598076954436d-01,-6.7859452836921d-01,
-     |  -9.6838696923123d-01,-4.8448124122198d-01, 3.8742269932432d-01,
-     |   9.7311033693652d-01, 8.3836109235207d-01, 9.2799637848387d-02,
-     |  -7.3519420732041d-01,-1.1031690259563d+00,-8.0677851937160d-01,
-     |  -4.7723767081314d-02, 7.6540122664945d-01, 1.2893975404560d+00,
-     |   1.4037396624549d+00, 1.1962932280337d+00, 8.4629473585676d-01,
-     |   5.0905108416330d-01, 2.6289476066924d-01, 1.1679381545987d-01,
-     |   4.4480929922357d-02, 1.4406686661670d-02, 3.9185735813476d-03,
-     |   8.7932070538956d-04, 1.5888917283840d-04, 2.2371806226487d-05,
-     |   2.3466148420323d-06, 1.7219221512117d-07, 8.0717214879301d-09,
-     |   2.1068128237928d-10, 2.4535933799460d-12, 8.6234719315562d-15,
-     |   4.1372934246777d-18, 3.4841753748396d-23, 3.8215498313348d-34/
-      data (pmn(lat,24,31), lat = 1,72)/
-     |   3.6443048215479d-36, 9.9866424599417d-25, 1.9839885743574d-19,
-     |   5.8228605105203d-16, 2.1467429275612d-13, 2.2753322285471d-11,
-     |   1.0427699524762d-09, 2.6041220839497d-08, 4.0910048146895d-07,
-     |   4.4461422423550d-06, 3.5708153410896d-05, 2.2220522770921d-04,
-     |   1.1093933757102d-03, 4.5611762975356d-03, 1.5747877821901d-02,
-     |   4.6326020009794d-02, 1.1732134247378d-01, 2.5747314832596d-01,
-     |   4.9099235849776d-01, 8.1208375099280d-01, 1.1551721672037d+00,
-     |   1.3850876597288d+00, 1.3358856175204d+00, 9.0445065493736d-01,
-     |   1.5723263837638d-01,-6.3235231714876d-01,-1.0845917334448d+00,
-     |  -9.3398802204149d-01,-2.3898597255793d-01, 5.9030124257436d-01,
-     |   1.0192806420715d+00, 7.5057084729890d-01,-3.9327942655284d-02,
-     |  -7.9374065672520d-01,-9.6601587393765d-01,-4.2714354864170d-01,
-     |   4.2714354864170d-01, 9.6601587393765d-01, 7.9374065672520d-01,
-     |   3.9327942655286d-02,-7.5057084729890d-01,-1.0192806420715d+00,
-     |  -5.9030124257437d-01, 2.3898597255793d-01, 9.3398802204149d-01,
-     |   1.0845917334448d+00, 6.3235231714876d-01,-1.5723263837637d-01,
-     |  -9.0445065493736d-01,-1.3358856175204d+00,-1.3850876597288d+00,
-     |  -1.1551721672037d+00,-8.1208375099280d-01,-4.9099235849776d-01,
-     |  -2.5747314832596d-01,-1.1732134247378d-01,-4.6326020009795d-02,
-     |  -1.5747877821901d-02,-4.5611762975356d-03,-1.1093933757103d-03,
-     |  -2.2220522770921d-04,-3.5708153410896d-05,-4.4461422423550d-06,
-     |  -4.0910048146896d-07,-2.6041220839498d-08,-1.0427699524762d-09,
-     |  -2.2753322285472d-11,-2.1467429275612d-13,-5.8228605105203d-16,
-     |  -1.9839885743574d-19,-9.9866424599417d-25,-3.6443048215479d-36/
-      data (pmn(lat,25,31), lat = 1,72)/
-     |   3.1489895323533d-38, 2.5933880399612d-26, 8.6175443934309d-21,
-     |   3.5599863616180d-17, 1.6997708680692d-14, 2.2223104518772d-12,
-     |   1.2172641527392d-10, 3.5549206568347d-09, 6.4296142104093d-08,
-     |   7.9534988529776d-07, 7.2096231302373d-06, 5.0330463604330d-05,
-     |   2.8072365352151d-04, 1.2861445154514d-03, 4.9434400624743d-03,
-     |   1.6198879038798d-02, 4.5804450319247d-02, 1.1273971300842d-01,
-     |   2.4289484174047d-01, 4.5915987207596d-01, 7.6048552399817d-01,
-     |   1.0960966745242d+00, 1.3531043626575d+00, 1.3811361396633d+00,
-     |   1.0638748003370d+00, 4.1274173202294d-01,-3.7807796789327d-01,
-     |  -9.7886657215641d-01,-1.0848836969578d+00,-6.1383903249016d-01,
-     |   1.9421897115553d-01, 8.7523959152237d-01, 1.0112892322447d+00,
-     |   5.0819458310781d-01,-3.1875613300752d-01,-9.3421406757782d-01,
-     |  -9.3421406757782d-01,-3.1875613300752d-01, 5.0819458310781d-01,
-     |   1.0112892322447d+00, 8.7523959152237d-01, 1.9421897115553d-01,
-     |  -6.1383903249016d-01,-1.0848836969578d+00,-9.7886657215641d-01,
-     |  -3.7807796789328d-01, 4.1274173202294d-01, 1.0638748003370d+00,
-     |   1.3811361396633d+00, 1.3531043626575d+00, 1.0960966745242d+00,
-     |   7.6048552399817d-01, 4.5915987207596d-01, 2.4289484174047d-01,
-     |   1.1273971300842d-01, 4.5804450319247d-02, 1.6198879038798d-02,
-     |   4.9434400624743d-03, 1.2861445154514d-03, 2.8072365352151d-04,
-     |   5.0330463604330d-05, 7.2096231302373d-06, 7.9534988529777d-07,
-     |   6.4296142104094d-08, 3.5549206568348d-09, 1.2172641527392d-10,
-     |   2.2223104518773d-12, 1.6997708680692d-14, 3.5599863616180d-17,
-     |   8.6175443934309d-21, 2.5933880399612d-26, 3.1489895323533d-38/
-      data (pmn(lat,26,31), lat = 1,72)/
-     |   2.4437601233100d-40, 6.0478273709670d-28, 3.3605998254589d-22,
-     |   1.9534577435604d-18, 1.2073847286529d-15, 1.9460426392830d-13,
-     |   1.2730533530588d-11, 4.3437813635840d-10, 9.0350013710048d-09,
-     |   1.2703994498398d-07, 1.2976689440252d-06, 1.0143002393153d-05,
-     |   6.3052490036423d-05, 3.2097570261107d-04, 1.3685001197491d-03,
-     |   4.9726731427107d-03, 1.5608631430836d-02, 4.2759607804924d-02,
-     |   1.0300565888216d-01, 2.1927913256099d-01, 4.1347352886227d-01,
-     |   6.9004829478795d-01, 1.0142399952401d+00, 1.2976356335906d+00,
-     |   1.4097061876262d+00, 1.2273143874164d+00, 7.1138994299422d-01,
-     |  -2.9253938887589d-02,-7.3982369927790d-01,-1.1157187262087d+00,
-     |  -9.6275564378628d-01,-3.3286460227670d-01, 4.6294038324005d-01,
-     |   1.0002616711619d+00, 9.7773659476313d-01, 4.0218906002933d-01,
-     |  -4.0218906002933d-01,-9.7773659476313d-01,-1.0002616711619d+00,
-     |  -4.6294038324005d-01, 3.3286460227670d-01, 9.6275564378628d-01,
-     |   1.1157187262087d+00, 7.3982369927790d-01, 2.9253938887591d-02,
-     |  -7.1138994299421d-01,-1.2273143874164d+00,-1.4097061876262d+00,
-     |  -1.2976356335906d+00,-1.0142399952401d+00,-6.9004829478795d-01,
-     |  -4.1347352886228d-01,-2.1927913256099d-01,-1.0300565888216d-01,
-     |  -4.2759607804924d-02,-1.5608631430836d-02,-4.9726731427107d-03,
-     |  -1.3685001197491d-03,-3.2097570261107d-04,-6.3052490036424d-05,
-     |  -1.0143002393153d-05,-1.2976689440252d-06,-1.2703994498398d-07,
-     |  -9.0350013710050d-09,-4.3437813635841d-10,-1.2730533530588d-11,
-     |  -1.9460426392831d-13,-1.2073847286529d-15,-1.9534577435604d-18,
-     |  -3.3605998254589d-22,-6.0478273709670d-28,-2.4437601233100d-40/
-      data (pmn(lat,27,31), lat = 1,72)/
-     |   1.6816524410168d-42, 1.2504884099312d-29, 1.1617529399022d-23,
-     |   9.4993556158122d-20, 7.5972911042413d-17, 1.5087934850755d-14,
-     |   1.1780225702374d-12, 4.6924868179209d-11, 1.1213670587547d-09,
-     |   1.7901669100925d-08, 2.0576987539530d-07, 1.7978135453539d-06,
-     |   1.2430776761169d-05, 7.0141734660042d-05, 3.3075161706207d-04,
-     |   1.3278793576287d-03, 4.6058812625066d-03, 1.3962640138693d-02,
-     |   3.7325078032609d-02, 8.8575272927871d-02, 1.8745431074870d-01,
-     |   3.5466720002384d-01, 5.9994971414444d-01, 9.0457728061498d-01,
-     |   1.2062591635940d+00, 1.3999200867260d+00, 1.3663956126111d+00,
-     |   1.0282726479344d+00, 4.1128486496253d-01,-3.2641508180420d-01,
-     |  -9.3028298686737d-01,-1.1526536091737d+00,-8.8064493417780d-01,
-     |  -2.1737418647973d-01, 5.4184071596235d-01, 1.0413169257685d+00,
-     |   1.0413169257685d+00, 5.4184071596235d-01,-2.1737418647973d-01,
-     |  -8.8064493417780d-01,-1.1526536091737d+00,-9.3028298686737d-01,
-     |  -3.2641508180420d-01, 4.1128486496252d-01, 1.0282726479344d+00,
-     |   1.3663956126111d+00, 1.3999200867260d+00, 1.2062591635940d+00,
-     |   9.0457728061498d-01, 5.9994971414444d-01, 3.5466720002384d-01,
-     |   1.8745431074870d-01, 8.8575272927871d-02, 3.7325078032609d-02,
-     |   1.3962640138693d-02, 4.6058812625067d-03, 1.3278793576287d-03,
-     |   3.3075161706206d-04, 7.0141734660042d-05, 1.2430776761170d-05,
-     |   1.7978135453539d-06, 2.0576987539530d-07, 1.7901669100925d-08,
-     |   1.1213670587547d-09, 4.6924868179210d-11, 1.1780225702374d-12,
-     |   1.5087934850756d-14, 7.5972911042413d-17, 9.4993556158122d-20,
-     |   1.1617529399022d-23, 1.2504884099312d-29, 1.6816524410168d-42/
-      data (pmn(lat,28,31), lat = 1,72)/
-     |   1.0066348627534d-44, 2.2489533692307d-31, 3.4926527211267d-25,
-     |   4.0161811668450d-21, 4.1547335755925d-18, 1.0161914866028d-15,
-     |   9.4640332940317d-14, 4.3979053142430d-12, 1.2064369821509d-10,
-     |   2.1844486575085d-09, 2.8220777612919d-08, 2.7521203777513d-07,
-     |   2.1129813402299d-06, 1.3188465938072d-05, 6.8612828295579d-05,
-     |   3.0344501843999d-04, 1.1588530814170d-03, 3.8699033395502d-03,
-     |   1.1414328517830d-02, 2.9972489849594d-02, 7.0496709123346d-02,
-     |   1.4918018549561d-01, 2.8480703719355d-01, 4.9102399519699d-01,
-     |   7.6352517857738d-01, 1.0661987007601d+00, 1.3247895075343d+00,
-     |   1.4380236342915d+00, 1.3108599827187d+00, 9.0236368596867d-01,
-     |   2.6705929308206d-01,-4.3694531009926d-01,-9.8962960716028d-01,
-     |  -1.1924903984662d+00,-9.5900354007849d-01,-3.6596530048097d-01,
-     |   3.6596530048097d-01, 9.5900354007849d-01, 1.1924903984662d+00,
-     |   9.8962960716028d-01, 4.3694531009926d-01,-2.6705929308206d-01,
-     |  -9.0236368596867d-01,-1.3108599827187d+00,-1.4380236342915d+00,
-     |  -1.3247895075343d+00,-1.0661987007601d+00,-7.6352517857738d-01,
-     |  -4.9102399519699d-01,-2.8480703719355d-01,-1.4918018549561d-01,
-     |  -7.0496709123347d-02,-2.9972489849594d-02,-1.1414328517831d-02,
-     |  -3.8699033395502d-03,-1.1588530814170d-03,-3.0344501844000d-04,
-     |  -6.8612828295579d-05,-1.3188465938072d-05,-2.1129813402299d-06,
-     |  -2.7521203777513d-07,-2.8220777612919d-08,-2.1844486575085d-09,
-     |  -1.2064369821509d-10,-4.3979053142431d-12,-9.4640332940317d-14,
-     |  -1.0161914866029d-15,-4.1547335755925d-18,-4.0161811668450d-21,
-     |  -3.4926527211267d-25,-2.2489533692307d-31,-1.0066348627534d-44/
-      data (pmn(lat,29,31), lat = 1,72)/
-     |   5.0809364913855d-47, 3.4102287283111d-33, 8.8517901761419d-27,
-     |   1.4310759687246d-22, 1.9143284159720d-19, 5.7640605803760d-17,
-     |   6.4000111924276d-15, 3.4673424247269d-13, 1.0910421595562d-11,
-     |   2.2386210406775d-10, 3.2470276496141d-09, 3.5300153913077d-08,
-     |   3.0049554724089d-07, 2.0710861908052d-06, 1.1862960265642d-05,
-     |   5.7651127072524d-05, 2.4168582575401d-04, 8.8584539591660d-04,
-     |   2.8699520635871d-03, 8.2921043149900d-03, 2.1520613104240d-02,
-     |   5.0458483391623d-02, 1.0735424870828d-01, 2.0791093621424d-01,
-     |   3.6720808973015d-01, 5.9168715933477d-01, 8.6853553883491d-01,
-     |   1.1567565036085d+00, 1.3863945120513d+00, 1.4715805804716d+00,
-     |   1.3379752778362d+00, 9.5705397512479d-01, 3.7259485525646d-01,
-     |  -2.9621751229271d-01,-8.8279025672923d-01,-1.2256780078039d+00,
-     |  -1.2256780078039d+00,-8.8279025672923d-01,-2.9621751229271d-01,
-     |   3.7259485525646d-01, 9.5705397512479d-01, 1.3379752778362d+00,
-     |   1.4715805804716d+00, 1.3863945120513d+00, 1.1567565036085d+00,
-     |   8.6853553883491d-01, 5.9168715933477d-01, 3.6720808973015d-01,
-     |   2.0791093621424d-01, 1.0735424870828d-01, 5.0458483391623d-02,
-     |   2.1520613104240d-02, 8.2921043149900d-03, 2.8699520635872d-03,
-     |   8.8584539591661d-04, 2.4168582575401d-04, 5.7651127072524d-05,
-     |   1.1862960265642d-05, 2.0710861908052d-06, 3.0049554724089d-07,
-     |   3.5300153913077d-08, 3.2470276496141d-09, 2.2386210406776d-10,
-     |   1.0910421595562d-11, 3.4673424247270d-13, 6.4000111924276d-15,
-     |   5.7640605803763d-17, 1.9143284159720d-19, 1.4310759687246d-22,
-     |   8.8517901761419d-27, 3.4102287283111d-33, 5.0809364913855d-47/
-      data (pmn(lat,30,31), lat = 1,72)/
-     |   2.0409490770719d-49, 4.1150266508475d-35, 1.7849717964770d-28,
-     |   4.0564209719933d-24, 7.0144460748927d-21, 2.5990942646730d-18,
-     |   3.4389331047786d-16, 2.1709084987272d-14, 7.8303357899778d-13,
-     |   1.8191812598111d-11, 2.9597397387939d-10, 3.5831088889187d-09,
-     |   3.3775084798794d-08, 2.5666290931170d-07, 1.6157388855513d-06,
-     |   8.6102367265971d-06, 3.9524884732533d-05, 1.5853138944227d-04,
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-     |   1.3073710218359d-02, 3.0724023860584d-02, 6.6064123525569d-02,
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-      data (pmn(lat,31,31), lat = 1,72)/
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-      data (pmn(lat, 0,32), lat = 1,72)/
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-      data (pmn(lat, 1,32), lat = 1,72)/
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-      data (pmn(lat, 2,32), lat = 1,72)/
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-      data (pmn(lat, 3,32), lat = 1,72)/
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-      data (pmn(lat, 4,32), lat = 1,72)/
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-      data (pmn(lat, 5,32), lat = 1,72)/
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-      data (pmn(lat, 6,32), lat = 1,72)/
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-      data (pmn(lat, 7,32), lat = 1,72)/
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-      data (pmn(lat, 8,32), lat = 1,72)/
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-      data (pmn(lat, 9,32), lat = 1,72)/
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-      data (pmn(lat,10,32), lat = 1,72)/
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-      data (pmn(lat,11,32), lat = 1,72)/
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-      data (pmn(lat,12,32), lat = 1,72)/
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-      data (pmn(lat,13,32), lat = 1,72)/
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-      data (pmn(lat,14,32), lat = 1,72)/
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-     |   1.0265552041610d-07, 9.1265975970307d-11, 2.0316706624360d-17/
-      data (pmn(lat,15,32), lat = 1,72)/
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-     |  -1.1013380805885d-08,-5.8209774828771d-12,-4.2998111505581d-19/
-      data (pmn(lat,16,32), lat = 1,72)/
-     |   8.3781830000390d-21, 3.4164137469114d-13, 1.0861719448488d-09,
-     |   2.0068933897950d-07, 8.9650062695664d-06, 1.6780901859480d-04,
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-     |   1.6780901859481d-04, 8.9650062695664d-06, 2.0068933897950d-07,
-     |   1.0861719448488d-09, 3.4164137469114d-13, 8.3781830000390d-21/
-      data (pmn(lat,17,32), lat = 1,72)/
-     |   1.5059550103070d-22, 1.8489545996541d-14, 9.8693009096576d-11,
-     |   2.5817540240777d-08, 1.5058512357146d-06, 3.5148658102157d-05,
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-     |  -3.5148658102158d-05,-1.5058512357146d-06,-2.5817540240777d-08,
-     |  -9.8693009096576d-11,-1.8489545996541d-14,-1.5059550103070d-22/
-      data (pmn(lat,18,32), lat = 1,72)/
-     |   2.5003705664237d-24, 9.2397557858435d-16, 8.2744911018948d-12,
-     |   3.0611516114758d-09, 2.3275607361192d-07, 6.7600508376790d-06,
-     |   1.0168737988100d-04, 9.4025383697552d-04, 5.9347329060559d-03,
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-     |   5.8411224772283d-01, 1.0250060110913d+00, 1.4109527438190d+00,
-     |   1.4391674915553d+00, 8.8615066485128d-01,-1.0746677627010d-01,
-     |  -9.6686652373536d-01,-1.0515851867699d+00,-2.6055785801024d-01,
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-     |  -7.1966006566755d-01,-8.8310428614894d-01,-6.6398864108948d-02,
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-     |   5.9347329060560d-03, 9.4025383697553d-04, 1.0168737988100d-04,
-     |   6.7600508376793d-06, 2.3275607361192d-07, 3.0611516114758d-09,
-     |   8.2744911018948d-12, 9.2397557858435d-16, 2.5003705664237d-24/
-      data (pmn(lat,19,32), lat = 1,72)/
-     |   3.8372329485307d-26, 4.2666525895051d-17, 6.4065623528649d-13,
-     |   3.3486715700858d-10, 3.3148073597974d-08, 1.1957760836896d-06,
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-     |   2.3494503572369d-01, 8.7647391739645d-01, 4.8206555525870d-01,
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-     |  -1.1957760836896d-06,-3.3148073597974d-08,-3.3486715700858d-10,
-     |  -6.4065623528649d-13,-4.2666525895051d-17,-3.8372329485307d-26/
-      data (pmn(lat,20,32), lat = 1,72)/
-     |   5.4433481315561d-28, 1.8206978453042d-18, 4.5814961948439d-14,
-     |   3.3807173443245d-11, 4.3518488027542d-09, 1.9469434474748d-07,
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-     |   2.8973794413703d-03, 1.3514984341978d-02, 4.9466479932496d-02,
-     |   1.4554303544101d-01, 3.4934977536771d-01, 6.8807966658839d-01,
-     |   1.1065529875857d+00, 1.4206617466296d+00, 1.3665700389834d+00,
-     |   7.8474110922904d-01,-1.6136506593415d-01,-9.5726922618439d-01,
-     |  -1.0498716738729d+00,-3.3542081891371d-01, 6.2739030896923d-01,
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-     |   9.0691281831312d-01, 2.6950814015924d-01,-6.5563722771654d-01,
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-     |   7.6184547088857d-01,-9.5081183573951d-02,-8.4829451278043d-01,
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-     |  -9.5726922618440d-01,-1.6136506593415d-01, 7.8474110922904d-01,
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-     |   4.9466479932496d-02, 1.3514984341978d-02, 2.8973794413704d-03,
-     |   4.7019392021465d-04, 5.4816185785505d-05, 4.2497930978933d-06,
-     |   1.9469434474749d-07, 4.3518488027542d-09, 3.3807173443245d-11,
-     |   4.5814961948439d-14, 1.8206978453042d-18, 5.4433481315561d-28/
-      data (pmn(lat,21,32), lat = 1,72)/
-     |   7.1329330251774d-30, 7.1754201543430d-20, 3.0245057989222d-15,
-     |   3.1485428971442d-12, 5.2654423889027d-10, 2.9177417254421d-08,
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-     |   1.3454756092891d+00, 7.7463393298973d-01,-1.4187990744633d-01,
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-     |   3.3831920418622d-01, 9.1982017199078d-01, 5.4910469310239d-01,
-     |  -3.8957490495376d-01,-9.1350025473237d-01,-4.7062707953519d-01,
-     |   4.7062707953518d-01, 9.1350025473237d-01, 3.8957490495376d-01,
-     |  -5.4910469310239d-01,-9.1982017199078d-01,-3.3831920418622d-01,
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-     |  -1.1566445190747d-04,-1.1617586138672d-05,-7.6518177485594d-07,
-     |  -2.9177417254422d-08,-5.2654423889027d-10,-3.1485428971442d-12,
-     |  -3.0245057989222d-15,-7.1754201543430d-20,-7.1329330251774d-30/
-      data (pmn(lat,22,32), lat = 1,72)/
-     |   8.6222613348224d-32, 2.6081048366579d-21, 1.8407780698728d-16,
-     |   2.7017830114502d-13, 5.8650972953664d-11, 4.0210905535286d-09,
-     |   1.2651856953229d-07, 2.2570552601592d-06, 2.6023493982659d-05,
-     |   2.1138568434285d-04, 1.2835782790492d-03, 6.0758299341913d-03,
-     |   2.3101434941337d-02, 7.2065643768191d-02, 1.8708445677959d-01,
-     |   4.0737486084249d-01, 7.4491187713785d-01, 1.1349659293048d+00,
-     |   1.4075969577898d+00, 1.3376587282232d+00, 7.9430296614720d-01,
-     |  -8.8060919534420d-02,-8.8071441637321d-01,-1.0884673474159d+00,
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-     |   1.8407780698728d-16, 2.6081048366579d-21, 8.6222613348224d-32/
-      data (pmn(lat,23,32), lat = 1,72)/
-     |   9.5928618811688d-34, 8.7237731737089d-23, 1.0306306898463d-17,
-     |   2.1316684106341d-14, 6.0024810312749d-12, 5.0868065400656d-10,
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-     |  -1.0306306898463d-17,-8.7237731737089d-23,-9.5928618811688d-34/
-      data (pmn(lat,24,32), lat = 1,72)/
-     |   9.7907915735631d-36, 2.6764716363499d-24, 5.2912046753287d-19,
-     |   1.5414887049435d-15, 5.6268370520311d-13, 5.8893470845110d-11,
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-     |   1.3796137863064d+00, 1.1109581712421d+00, 7.4574187225625d-01,
-     |   4.2575695708823d-01, 2.0835346249996d-01, 8.7459842105207d-02,
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-     |   1.0025306880367d-06, 6.5183929172519d-08, 2.6580409180773d-09,
-     |   5.8893470845113d-11, 5.6268370520311d-13, 1.5414887049435d-15,
-     |   5.2912046753287d-19, 2.6764716363499d-24, 9.7907915735631d-36/
-      data (pmn(lat,25,32), lat = 1,72)/
-     |   9.1247044257875d-38, 7.4971471957608d-26, 2.4795172748306d-20,
-     |   1.0170617122409d-16, 4.8099847617092d-14, 6.2132943627448d-12,
-     |   3.3537976084571d-10, 9.6258380773272d-09, 1.7061233291879d-07,
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-     |   6.6486451489501d-04, 2.9319413523841d-03, 1.0794251562889d-02,
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-     |   1.3552990395992d+00, 1.3858898258060d+00, 1.0335253571645d+00,
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-     |   4.3719989985029d-01, 9.7792279117179d-01, 7.7469434887359d-01,
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-     |  -1.2331193484144d-04,-1.8202360091393d-05,-2.0619791518346d-06,
-     |  -1.7061233291879d-07,-9.6258380773273d-09,-3.3537976084571d-10,
-     |  -6.2132943627451d-12,-4.8099847617092d-14,-1.0170617122409d-16,
-     |  -2.4795172748306d-20,-7.4971471957608d-26,-9.1247044257875d-38/
-      data (pmn(lat,26,32), lat = 1,72)/
-     |   7.7154425082487d-40, 1.9051117861082d-27, 1.0538275292511d-21,
-     |   6.0839996611991d-18, 3.7260224145645d-15, 5.9364034175160d-13,
-     |   3.8292369922128d-11, 1.2850183920376d-09, 2.6216463428137d-08,
-     |   3.6054116677680d-07, 3.5911375733935d-06, 2.7281962892941d-05,
-     |   1.6425521476370d-04, 8.0670285985312d-04, 3.3039840338940d-03,
-     |   1.1476747319859d-02, 3.4244881412768d-02, 8.8594244752965d-02,
-     |   1.9994940403474d-01, 3.9484987569595d-01, 6.8176614891000d-01,
-     |   1.0233923789753d+00, 1.3169783483007d+00, 1.4088880821987d+00,
-     |   1.1607334304359d+00, 5.5009241256667d-01,-2.5486320075264d-01,
-     |  -9.2211989765773d-01,-1.1121453018487d+00,-6.9541335739621d-01,
-     |   1.1520534649221d-01, 8.4317657285131d-01, 1.0294779632245d+00,
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-     |  -9.3762080548785d-01,-2.9939424310531d-01, 5.4426328925405d-01,
-     |   1.0294779632245d+00, 8.4317657285131d-01, 1.1520534649220d-01,
-     |  -6.9541335739621d-01,-1.1121453018487d+00,-9.2211989765774d-01,
-     |  -2.5486320075264d-01, 5.5009241256667d-01, 1.1607334304359d+00,
-     |   1.4088880821987d+00, 1.3169783483007d+00, 1.0233923789753d+00,
-     |   6.8176614891001d-01, 3.9484987569595d-01, 1.9994940403474d-01,
-     |   8.8594244752965d-02, 3.4244881412768d-02, 1.1476747319859d-02,
-     |   3.3039840338939d-03, 8.0670285985312d-04, 1.6425521476370d-04,
-     |   2.7281962892941d-05, 3.5911375733935d-06, 3.6054116677681d-07,
-     |   2.6216463428137d-08, 1.2850183920376d-09, 3.8292369922128d-11,
-     |   5.9364034175163d-13, 3.7260224145645d-15, 6.0839996611991d-18,
-     |   1.0538275292511d-21, 1.9051117861082d-27, 7.7154425082487d-40/
-      data (pmn(lat,27,32), lat = 1,72)/
-     |   5.8660467040537d-42, 4.3525413584512d-29, 4.0260550412004d-23,
-     |   3.2704002443527d-19, 2.5925568327392d-16, 5.0916875121938d-14,
-     |   3.9221007769802d-12, 1.5375732835402d-10, 3.6069303231604d-09,
-     |   5.6373558410205d-08, 6.3259220676411d-07, 5.3794025315384d-06,
-     |   3.6084748408380d-05, 1.9683659584644d-04, 8.9382790148054d-04,
-     |   3.4408451890980d-03, 1.1388559377181d-02, 3.2761310520135d-02,
-     |   8.2568323157671d-02, 1.8330315177448d-01, 3.5944702632802d-01,
-     |   6.2245190088745d-01, 9.4786041716333d-01, 1.2560066138714d+00,
-     |   1.4162693148542d+00, 1.2916504214742d+00, 8.1849404924215d-01,
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-     |  -1.0071914875777d+00,-3.9528160601534d-01, 4.2118957758543d-01,
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-     |  -5.0916875121941d-14,-2.5925568327392d-16,-3.2704002443527d-19,
-     |  -4.0260550412004d-23,-4.3525413584512d-29,-5.8660467040537d-42/
-      data (pmn(lat,28,32), lat = 1,72)/
-     |   3.9590404789008d-44, 8.8264304176566d-31, 1.3649879248608d-24,
-     |   1.5596538757881d-20, 1.5997724352861d-17, 3.8710590938519d-15,
-     |   3.5586371826305d-13, 1.6285048804750d-11, 4.3886153849313d-10,
-     |   7.7864876011367d-09, 9.8307455957625d-08, 9.3427728922430d-07,
-     |   6.9692600144094d-06, 4.2127088906779d-05, 2.1150610814457d-04,
-     |   8.9924136917590d-04, 3.2873867171285d-03, 1.0458495169917d-02,
-     |   2.9227838063638d-02, 7.2260097677349d-02, 1.5882503631661d-01,
-     |   3.1122762486787d-01, 5.4395429145316d-01, 8.4574650508199d-01,
-     |   1.1615419252023d+00, 1.3883272808294d+00, 1.3996764103135d+00,
-     |   1.1019964074311d+00, 5.0278980773893d-01,-2.4942240441570d-01,
-     |  -8.9352562869324d-01,-1.1610570580363d+00,-9.1618786807370d-01,
-     |  -2.5169652270025d-01, 5.2815015298235d-01, 1.0465218917450d+00,
-     |   1.0465218917450d+00, 5.2815015298235d-01,-2.5169652270024d-01,
-     |  -9.1618786807370d-01,-1.1610570580363d+00,-8.9352562869324d-01,
-     |  -2.4942240441570d-01, 5.0278980773892d-01, 1.1019964074311d+00,
-     |   1.3996764103135d+00, 1.3883272808294d+00, 1.1615419252023d+00,
-     |   8.4574650508200d-01, 5.4395429145316d-01, 3.1122762486787d-01,
-     |   1.5882503631662d-01, 7.2260097677350d-02, 2.9227838063638d-02,
-     |   1.0458495169917d-02, 3.2873867171285d-03, 8.9924136917591d-04,
-     |   2.1150610814457d-04, 4.2127088906779d-05, 6.9692600144095d-06,
-     |   9.3427728922430d-07, 9.8307455957625d-08, 7.7864876011369d-09,
-     |   4.3886153849314d-10, 1.6285048804750d-11, 3.5586371826305d-13,
-     |   3.8710590938521d-15, 1.5997724352861d-17, 1.5596538757881d-20,
-     |   1.3649879248608d-24, 8.8264304176566d-31, 3.9590404789008d-44/
-      data (pmn(lat,29,32), lat = 1,72)/
-     |   2.3266132928111d-46, 1.5584079269237d-32, 4.0286459392485d-26,
-     |   6.4733038364724d-22, 8.5883066780377d-19, 2.5593099333534d-16,
-     |   2.8062854511886d-14, 1.4980655431776d-12, 4.6339514482928d-11,
-     |   9.3243633202884d-10, 1.3229948158465d-08, 1.4032342909366d-07,
-     |   1.1621258943232d-06, 7.7691637482878d-06, 4.3026213073970d-05,
-     |   2.0146465458476d-04, 8.1066217772405d-04, 2.8400055753242d-03,
-     |   8.7532733826041d-03, 2.3932586536464d-02, 5.8419815982116d-02,
-     |   1.2791542683467d-01, 2.5199320484190d-01, 4.4718004848783d-01,
-     |   7.1413493603638d-01, 1.0222595317392d+00, 1.3003501958504d+00,
-     |   1.4445925600497d+00, 1.3508493001000d+00, 9.6547474118537d-01,
-     |   3.3295899695216d-01,-3.8965744090874d-01,-9.7257110328978d-01,
-     |  -1.2014255365604d+00,-9.7702677159977d-01,-3.7460458596609d-01,
-     |   3.7460458596609d-01, 9.7702677159977d-01, 1.2014255365604d+00,
-     |   9.7257110328978d-01, 3.8965744090875d-01,-3.3295899695216d-01,
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-     |  -4.4718004848783d-01,-2.5199320484190d-01,-1.2791542683467d-01,
-     |  -5.8419815982117d-02,-2.3932586536464d-02,-8.7532733826041d-03,
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-     |  -4.3026213073969d-05,-7.7691637482877d-06,-1.1621258943232d-06,
-     |  -1.4032342909366d-07,-1.3229948158465d-08,-9.3243633202886d-10,
-     |  -4.6339514482929d-11,-1.4980655431776d-12,-2.8062854511886d-14,
-     |  -2.5593099333535d-16,-8.5883066780377d-19,-6.4733038364724d-22,
-     |  -4.0286459392485d-26,-1.5584079269237d-32,-2.3266132928111d-46/
-      data (pmn(lat,30,32), lat = 1,72)/
-     |   1.1539652257556d-48, 2.3220895017228d-34, 1.0032879208032d-27,
-     |   2.2665229551124d-23, 3.8882782085249d-20, 1.4264017136830d-17,
-     |   1.8646153519017d-15, 1.1604296099171d-13, 4.1172441128107d-12,
-     |   9.3875837952689d-11, 1.4953565149301d-09, 1.7679829629514d-08,
-     |   1.6232971902327d-07, 1.1982241573073d-06, 7.3051746690000d-06,
-     |   3.7581746865035d-05, 1.6597482507731d-04, 6.3807461890192d-04,
-     |   2.1596633689639d-03, 6.4952548892568d-03, 1.7488509132354d-02,
-     |   4.2408470816487d-02, 9.3047445836483d-02, 1.8533534584296d-01,
-     |   3.3580942486297d-01, 5.5379421469556d-01, 8.3017568124170d-01,
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-      data (pmn(lat,31,32), lat = 1,72)/
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-      data (pmn(lat,32,32), lat = 1,72)/
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-      data (pmn(lat, 0,33), lat = 1,72)/
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-      data (pmn(lat, 1,33), lat = 1,72)/
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-      data (pmn(lat, 2,33), lat = 1,72)/
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-      data (pmn(lat, 3,33), lat = 1,72)/
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-      data (pmn(lat, 4,33), lat = 1,72)/
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-      data (pmn(lat, 5,33), lat = 1,72)/
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-      data (pmn(lat, 6,33), lat = 1,72)/
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-      data (pmn(lat, 7,33), lat = 1,72)/
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-      data (pmn(lat, 8,33), lat = 1,72)/
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-      data (pmn(lat, 9,33), lat = 1,72)/
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-      data (pmn(lat,10,33), lat = 1,72)/
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-      data (pmn(lat,11,33), lat = 1,72)/
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-      data (pmn(lat,12,33), lat = 1,72)/
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-      data (pmn(lat,13,33), lat = 1,72)/
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-      data (pmn(lat,14,33), lat = 1,72)/
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-      data (pmn(lat,15,33), lat = 1,72)/
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-     |   1.8034169549370d-08, 9.6080393273844d-12, 7.1252680600649d-19/
-      data (pmn(lat,16,33), lat = 1,72)/
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-     |   3.3802796043092d-07, 1.4866442046429d-05, 2.7272960964760d-04,
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-     |  -1.8504922829929d-09,-5.8642531999888d-13,-1.4434556240644d-20/
-      data (pmn(lat,17,33), lat = 1,72)/
-     |   2.7016443869000d-22, 3.3053792716233d-14, 1.7519166965755d-10,
-     |   4.5339165938534d-08, 2.6060692757032d-06, 5.9695974005700d-05,
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-     |   1.7519166965755d-10, 3.3053792716233d-14, 2.7016443869000d-22/
-      data (pmn(lat,18,33), lat = 1,72)/
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-     |   5.6140035102439d-09, 4.2101827539691d-07, 1.2013786087485d-05,
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-     |  -1.5329879204158d-11,-1.7232988165914d-15,-4.6789132580586d-24/
-      data (pmn(lat,19,33), lat = 1,72)/
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-     |   1.2412247289263d-12, 8.3189216866128d-17, 7.5052637748358d-26/
-      data (pmn(lat,20,33), lat = 1,72)/
-     |   1.1154513623738d-27, 3.7198024854184d-18, 9.3039779402122d-14,
-     |   6.8029815823647d-11, 8.6495307731417d-09, 3.8091449348616d-07,
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-     |  -9.3039779402122d-14,-3.7198024854184d-18,-1.1154513623738d-27/
-      data (pmn(lat,21,33), lat = 1,72)/
-     |   1.5356776375061d-29, 1.5404096764438d-19, 6.4557085071903d-15,
-     |   6.6621719059027d-12, 1.1011106495748d-09, 6.0109766853633d-08,
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-      data (pmn(lat,22,33), lat = 1,72)/
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-     |  -4.1432502270784d-16,-5.9027411477948d-21,-1.9567646151860d-31/
-      data (pmn(lat,23,33), lat = 1,72)/
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-     |   5.0392749970353d-14, 1.4038504360417d-11, 1.1736306955967d-09,
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-     |   2.4558892587068d-17, 2.0897676402430d-22, 2.3039910619558d-33/
-      data (pmn(lat,24,33), lat = 1,72)/
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-     |   3.8779093618269d-15, 1.4010699225134d-12, 1.4474898437999d-10,
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-     |  -1.3413022318152d-18,-6.8191441431117d-24,-2.5007959151386d-35/
-      data (pmn(lat,25,33), lat = 1,72)/
-     |   2.4936605311632d-37, 2.0439183738045d-25, 6.7270556619257d-20,
-     |   2.7391858822423d-16, 1.2827332020523d-13, 1.6364474870853d-11,
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-     |   1.6364474870854d-11, 1.2827332020523d-13, 2.7391858822423d-16,
-     |   6.7270556619257d-20, 2.0439183738045d-25, 2.4936605311632d-37/
-      data (pmn(lat,26,33), lat = 1,72)/
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-     |   1.7677276514027d-17, 1.0723981624460d-14, 1.6882502448884d-12,
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-     |  -3.0836025276524d-21,-5.6006686496824d-27,-2.2734856066148d-39/
-      data (pmn(lat,27,33), lat = 1,72)/
-     |   1.8828009716189d-41, 1.3938823159129d-28, 1.2835289589245d-22,
-     |   1.0355623146388d-18, 8.1346974275858d-16, 1.5793414473221d-13,
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-     |   9.5692603164976d-05, 5.0376033354009d-04, 2.1983322423303d-03,
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-     |   1.2835289589245d-22, 1.3938823159129d-28, 1.8828009716189d-41/
-      data (pmn(lat,28,33), lat = 1,72)/
-     |   1.4035663804044d-43, 3.1223829554647d-30, 4.8077383734250d-24,
-     |   5.4574990655959d-20, 5.5488576929387d-17, 1.3278827376297d-14,
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-     |  -4.8077383734250d-24,-3.1223829554647d-30,-1.4035663804044d-43/
-      data (pmn(lat,29,33), lat = 1,72)/
-     |   9.2973049403745d-46, 6.2144622918889d-32, 1.5997644361114d-25,
-     |   2.5543079413999d-21, 3.3602135679184d-18, 9.9068783583752d-16,
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-      data (pmn(lat,30,33), lat = 1,72)/
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-      data (pmn(lat,31,33), lat = 1,72)/
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-      data (pmn(lat,32,33), lat = 1,72)/
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-      data (pmn(lat,33,33), lat = 1,72)/
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-      data (pmn(lat, 0,34), lat = 1,72)/
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-      data (pmn(lat, 1,34), lat = 1,72)/
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-      data (pmn(lat, 2,34), lat = 1,72)/
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-      data (pmn(lat, 3,34), lat = 1,72)/
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-      data (pmn(lat, 4,34), lat = 1,72)/
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-      data (pmn(lat, 5,34), lat = 1,72)/
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-      data (pmn(lat, 6,34), lat = 1,72)/
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-      data (pmn(lat, 7,34), lat = 1,72)/
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-      data (pmn(lat, 8,34), lat = 1,72)/
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-      data (pmn(lat, 9,34), lat = 1,72)/
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-      data (pmn(lat,10,34), lat = 1,72)/
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-      data (pmn(lat,11,34), lat = 1,72)/
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-      data (pmn(lat,14,34), lat = 1,72)/
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-      data (pmn(lat,15,34), lat = 1,72)/
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-      data (pmn(lat,16,34), lat = 1,72)/
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-      data (pmn(lat,17,34), lat = 1,72)/
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-      data (pmn(lat,18,34), lat = 1,72)/
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-      data (pmn(lat,19,34), lat = 1,72)/
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-      data (pmn(lat,20,34), lat = 1,72)/
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-     |   1.8364426958936d-13, 7.3880576801732d-18, 2.2223029588441d-27/
-      data (pmn(lat,21,34), lat = 1,72)/
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-     |   1.3655035189654d-11, 2.2296234433559d-09, 1.1984705954244d-07,
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-     |  -1.3351299013552d-14,-3.2047370499290d-19,-3.2043290366529d-29/
-      data (pmn(lat,22,34), lat = 1,72)/
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-     |   1.2992752752499d-12, 2.7569016373747d-10, 1.8361584750907d-08,
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-     |   1.8361584750907d-08, 2.7569016373747d-10, 1.2992752752499d-12,
-     |   9.0030857631379d-16, 1.2899311955285d-20, 4.2882125468479d-31/
-      data (pmn(lat,23,34), lat = 1,72)/
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-     |   1.1448595205360d-13, 3.1542546000271d-11, 2.6002016107616d-09,
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-     |  -5.6254671220492d-17,-4.8128923474316d-22,-5.3206240354138d-33/
-      data (pmn(lat,24,34), lat = 1,72)/
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-     |   9.3271873357438d-15, 3.3343266697840d-12, 3.3988358075856d-10,
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-     |   3.2516073770557d-18, 1.6617433037687d-23, 6.1099661647105d-35/
-      data (pmn(lat,25,34), lat = 1,72)/
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-     |   7.0087060924349d-16, 3.2488868604087d-13, 4.0917603427141d-11,
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-      data (pmn(lat,26,34), lat = 1,72)/
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-     |   4.8407134657360d-17, 2.9080626469510d-14, 4.5218667501511d-12,
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-     |   8.5057069898397d-21, 1.5523325227440d-26, 6.3165482171686d-39/
-      data (pmn(lat,27,34), lat = 1,72)/
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-     |  -3.8173379120766d-22,-4.1648395028157d-28,-5.6387382700072d-41/
-      data (pmn(lat,28,34), lat = 1,72)/
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-     |   1.7560120734594d-19, 1.7692807592512d-16, 4.1858328304393d-14,
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-     |   4.1858328304395d-14, 1.7692807592512d-16, 1.7560120734594d-19,
-     |   1.5574335075656d-23, 1.0160188370779d-29, 4.5774028070571d-43/
-      data (pmn(lat,29,34), lat = 1,72)/
-     |   3.3482073386458d-45, 2.2331643862889d-31, 5.7238972974495d-25,
-     |   9.0797569330619d-21, 1.1840330179467d-17, 3.4525417887507d-15,
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-     |  -5.7238972974495d-25,-2.2331643862889d-31,-3.3482073386458d-45/
-      data (pmn(lat,30,34), lat = 1,72)/
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-     |   4.1734829762046d-22, 7.0413247441413d-19, 2.5294185208587d-16,
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-     |   1.4621290200984d-09, 2.2270370066768d-08, 2.5040929715945d-07,
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-     |   4.0916928998570d-04, 1.6613891973670d-03, 5.8204883506756d-03,
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-     |   2.3748935220168d-01, 4.4288807873068d-01, 7.3173421701877d-01,
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-     |   7.3173421701877d-01, 4.4288807873068d-01, 2.3748935220168d-01,
-     |   1.1302479298295d-01, 4.7686502065105d-02, 1.7774770216353d-02,
-     |   5.8204883506756d-03, 1.6613891973670d-03, 4.0916928998570d-04,
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-     |   2.5040929715945d-07, 2.2270370066768d-08, 1.4621290200985d-09,
-     |   6.6718873395944d-11, 1.9468584431732d-12, 3.2234940141054d-14,
-     |   2.5294185208588d-16, 7.0413247441413d-19, 4.1734829762046d-22,
-     |   1.8705303937379d-26, 4.3652011485979d-33, 2.1782455049788d-47/
-      data (pmn(lat,31,34), lat = 1,72)/
-     |   1.2361421644734d-49, 7.4425497710178d-35, 5.3309500419618d-28,
-     |   1.6725836990889d-23, 3.6498121144558d-20, 1.6145403561333d-17,
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-     |   8.8304211529938d-05, 3.9444667808249d-04, 1.5207546946519d-03,
-     |   5.1178076985258d-03, 1.5169149925316d-02, 3.9878307700114d-02,
-     |   9.3472541763127d-02, 1.9603295317066d-01, 3.6847399552382d-01,
-     |   6.2046966486164d-01, 9.3288752562120d-01, 1.2427533391216d+00,
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-     |  -5.3309500419618d-28,-7.4425497710178d-35,-1.2361421644734d-49/
-      data (pmn(lat,32,34), lat = 1,72)/
-     |   5.9303987066264d-52, 1.0726621238561d-36, 1.2841249970148d-29,
-     |   5.6643132396488d-25, 1.5981984360057d-21, 8.7028042948164d-19,
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-     |  -1.2481754476142d+00,-8.6537350436673d-01,-2.2105414233551d-01,
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-     |   1.4965002111184d+00, 1.3438384279746d+00, 1.0647424338700d+00,
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-     |   1.4668648907788d-01, 6.9625403724126d-02, 2.9840088227990d-02,
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-     |   8.7028042948169d-19, 1.5981984360057d-21, 5.6643132396488d-25,
-     |   1.2841249970148d-29, 1.0726621238561d-36, 5.9303987066264d-52/
-      data (pmn(lat,33,34), lat = 1,72)/
-     |   2.2696128423323d-54, 1.2331873498685d-38, 2.4670585266083d-31,
-     |   1.5296490347248d-26, 5.5790645094669d-23, 3.7384628748704d-20,
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-     |  -2.4670585266083d-31,-1.2331873498685d-38,-2.2696128423323d-54/
-      data (pmn(lat,34,34), lat = 1,72)/
-     |   6.0055614491439d-57, 9.8017582557349d-41, 3.2764968407540d-33,
-     |   2.8550748619718d-28, 1.3457634003442d-24, 1.1093531534416d-21,
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-     |   6.7926830772869d-14, 1.6404099866055d-12, 2.8414620364047d-11,
-     |   3.7169934291509d-10, 3.8201373197712d-09, 3.1817266638184d-08,
-     |   2.2012842859682d-07, 1.2906386928436d-06, 6.5187916389863d-06,
-     |   2.8751497541177d-05, 1.1199916979370d-04, 3.8903040670508d-04,
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-     |   2.0813201954014d-02, 4.5061130835402d-02, 9.0011282290612d-02,
-     |   1.6642544957930d-01, 2.8560370680318d-01, 4.5597682505000d-01,
-     |   6.7859210925116d-01, 9.4290509212317d-01, 1.2248758556584d+00,
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-     |   4.5597682505000d-01, 2.8560370680318d-01, 1.6642544957930d-01,
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-     |   3.2764968407540d-33, 9.8017582557349d-41, 6.0055614491439d-57/
-      data (pmn(lat, 0,35), lat = 1,72)/
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-      data (pmn(lat, 9,35), lat = 1,72)/
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-      data (pmn(lat,10,35), lat = 1,72)/
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-      data (pmn(lat,11,35), lat = 1,72)/
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-      data (pmn(lat,12,35), lat = 1,72)/
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-      data (pmn(lat,13,35), lat = 1,72)/
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-      data (pmn(lat,14,35), lat = 1,72)/
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-      data (pmn(lat,15,35), lat = 1,72)/
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-      data (pmn(lat,16,35), lat = 1,72)/
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-     |  -5.0761394957379d-09,-1.6340725173339d-12,-4.0535223247468d-20/
-      data (pmn(lat,17,35), lat = 1,72)/
-     |   8.1799313633941d-22, 9.9348447563192d-14, 5.1883635364601d-10,
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-     |   1.6110105691111d-04, 7.3174500042565d-06, 1.3128109102752d-07,
-     |   5.1883635364601d-10, 9.9348447563192d-14, 8.1799313633941d-22/
-      data (pmn(lat,18,35), lat = 1,72)/
-     |   1.5318507529156d-23, 5.6029801803283d-15, 4.9149746981550d-11,
-     |   1.7620257957881d-08, 1.2837003203818d-06, 3.5292852466483d-05,
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-     |  -4.9149746981550d-11,-5.6029801803283d-15,-1.5318507529156d-23/
-      data (pmn(lat,19,35), lat = 1,72)/
-     |   2.6658164657306d-25, 2.9354185788135d-16, 4.3220367869176d-12,
-     |   2.1928097274063d-09, 2.0846655300226d-07, 7.1412318702723d-06,
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-     |   8.0386043752043d-01, 1.2934726092986d+00, 1.5252469453615d+00,
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-     |   9.0386722978814d-01,-9.6837152759015d-02,-9.3992514987373d-01,
-     |  -5.6243386767021d-01, 5.3692897301280d-01, 8.8772301926304d-01,
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-     |  -9.1646062625578d-01, 1.0876814153398d-01, 1.1304605960931d+00,
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-     |   3.8251329034653d-01, 1.4059243925861d-01, 3.9498420065107d-02,
-     |   8.2602145588457d-03, 1.2296609847571d-03, 1.2150742476095d-04,
-     |   7.1412318702726d-06, 2.0846655300226d-07, 2.1928097274063d-09,
-     |   4.3220367869176d-12, 2.9354185788135d-16, 2.6658164657306d-25/
-      data (pmn(lat,20,35), lat = 1,72)/
-     |   4.3149056402225d-27, 1.4299352164866d-17, 3.5316739548070d-13,
-     |   2.5333291449047d-10, 3.1384271363385d-08, 1.3370600449193d-06,
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-     |  -1.3370600449193d-06,-3.1384271363385d-08,-2.5333291449047d-10,
-     |  -3.5316739548070d-13,-1.4299352164866d-17,-4.3149056402225d-27/
-      data (pmn(lat,21,35), lat = 1,72)/
-     |   6.4984122767402d-29, 6.4795342002193d-19, 2.6830025390101d-14,
-     |   2.7187418638173d-11, 4.3839221267061d-09, 2.3190910451313d-07,
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-     |  -3.3928894563235d-02, 9.0037809291493d-01, 8.5094845070096d-01,
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-     |   2.3190910451314d-07, 4.3839221267061d-09, 2.7187418638173d-11,
-     |   2.6830025390101d-14, 6.4795342002193d-19, 6.4984122767402d-29/
-      data (pmn(lat,22,35), lat = 1,72)/
-     |   9.1051974753069d-31, 2.7309797938684d-20, 1.8949903978162d-15,
-     |   2.7106685496014d-12, 5.6833810399031d-10, 3.7281401412980d-08,
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-     |  -1.8949903978162d-15,-2.7309797938684d-20,-9.1051974753069d-31/
-      data (pmn(lat,23,35), lat = 1,72)/
-     |   1.1861505598739d-32, 1.0699785582899d-21, 1.2436514260959d-16,
-     |   2.5096774406648d-13, 6.8360229381788d-11, 5.5541189191050d-09,
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-     |   4.8529331406015d-05, 3.9143706952895d-06, 1.9889070442056d-07,
-     |   5.5541189191052d-09, 6.8360229381788d-11, 2.5096774406648d-13,
-     |   1.2436514260959d-16, 1.0699785582899d-21, 1.1861505598739d-32/
-      data (pmn(lat,24,35), lat = 1,72)/
-     |   1.4349222634161d-34, 3.8921873758135d-23, 7.5752632108625d-18,
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-      data (pmn(lat,25,35), lat = 1,72)/
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-      data (pmn(lat,26,35), lat = 1,72)/
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-      data (pmn(lat,27,35), lat = 1,72)/
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-     |   1.0699772881319d-21, 1.1729770175803d-27, 1.5918722251533d-40/
-      data (pmn(lat,28,35), lat = 1,72)/
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-      data (pmn(lat,29,35), lat = 1,72)/
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-     |   2.9672176496438d-20, 3.8345856229452d-17, 1.1054739059443d-14,
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-     |   1.8831597260252d-24, 7.3799476193830d-31, 1.1089468713867d-44/
-      data (pmn(lat,30,35), lat = 1,72)/
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-     |   1.5063493970812d-21, 2.5193725703438d-18, 8.9512397550449d-16,
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-      data (pmn(lat,31,35), lat = 1,72)/
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-     |   2.1823172184104d-27, 3.0594969060209d-34, 5.0921591195833d-49/
-      data (pmn(lat,32,35), lat = 1,72)/
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-      data (pmn(lat,33,35), lat = 1,72)/
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-      data (pmn(lat,34,35), lat = 1,72)/
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-      data (pmn(lat, 0,36), lat = 1,72)/
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-      data (pmn(lat, 1,36), lat = 1,72)/
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-      data (pmn(lat, 2,36), lat = 1,72)/
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-      data (pmn(lat, 3,36), lat = 1,72)/
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-      data (pmn(lat, 8,36), lat = 1,72)/
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-      data (pmn(lat, 9,36), lat = 1,72)/
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-      data (pmn(lat,10,36), lat = 1,72)/
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-      data (pmn(lat,11,36), lat = 1,72)/
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-      data (pmn(lat,12,36), lat = 1,72)/
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-      data (pmn(lat,13,36), lat = 1,72)/
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-      data (pmn(lat,14,36), lat = 1,72)/
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-      data (pmn(lat,15,36), lat = 1,72)/
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-      data (pmn(lat,16,36), lat = 1,72)/
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-      data (pmn(lat,17,36), lat = 1,72)/
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-      data (pmn(lat,18,36), lat = 1,72)/
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-      data (pmn(lat,19,36), lat = 1,72)/
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-      data (pmn(lat,20,36), lat = 1,72)/
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-      data (pmn(lat,24,36), lat = 1,72)/
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-      data (pmn(lat,25,36), lat = 1,72)/
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-      data (pmn(lat,26,36), lat = 1,72)/
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-      data (pmn(lat,27,36), lat = 1,72)/
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-      data (pmn(lat,28,36), lat = 1,72)/
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-     |   1.3395683470753d-22, 8.8211401433910d-29, 3.9927230755598d-42/
-      data (pmn(lat,29,36), lat = 1,72)/
-     |   3.4255208287996d-44, 2.2744461393444d-30, 5.7771853656200d-24,
-     |   9.0400933223711d-20, 1.1574559093179d-16, 3.2979063976027d-14,
-     |   3.4246414423012d-12, 1.7142767700418d-10, 4.9213200304645d-09,
-     |   9.0910641247486d-08, 1.1706489103903d-06, 1.1131157702109d-05,
-     |   8.1556482316799d-05, 4.7546251079257d-04, 2.2600349667483d-03,
-     |   8.9231336322709d-03, 2.9672378946545d-02, 8.3929188125093d-02,
-     |   2.0317546535504d-01, 4.2188162907806d-01, 7.4943127199174d-01,
-     |   1.1278377428159d+00, 1.4054685685174d+00, 1.3745277186519d+00,
-     |   8.9547168724712d-01, 5.3692872233653d-02,-7.8546614060434d-01,
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-     |   9.2388925803304d-01, 9.6663360074506d-01, 2.3140261455126d-01,
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-     |  -8.3929188125093d-02,-2.9672378946545d-02,-8.9231336322709d-03,
-     |  -2.2600349667483d-03,-4.7546251079257d-04,-8.1556482316800d-05,
-     |  -1.1131157702109d-05,-1.1706489103903d-06,-9.0910641247487d-08,
-     |  -4.9213200304646d-09,-1.7142767700418d-10,-3.4246414423012d-12,
-     |  -3.2979063976029d-14,-1.1574559093179d-16,-9.0400933223711d-20,
-     |  -5.7771853656200d-24,-2.2744461393444d-30,-3.4255208287996d-44/
-      data (pmn(lat,30,36), lat = 1,72)/
-     |   2.6777805802060d-46, 5.3428934618518d-32, 2.2695233224379d-25,
-     |   4.9973332297157d-21, 8.2832969811366d-18, 2.9098673849617d-15,
-     |   3.6092674809243d-13, 2.1111973851161d-11, 6.9713551924761d-10,
-     |   1.4641616003259d-08, 2.1251579817991d-07, 2.2632681483120d-06,
-     |   1.8489327151180d-05, 1.1982816379287d-04, 6.3221719845429d-04,
-     |   2.7701719459055d-03, 1.0236344450367d-02, 3.2270362280491d-02,
-     |   8.7512513364467d-02, 2.0519196379521d-01, 4.1670064312758d-01,
-     |   7.3113193430942d-01, 1.0988720547611d+00, 1.3874657510660d+00,
-     |   1.4084744722923d+00, 1.0172700674246d+00, 2.4932282265317d-01,
-     |  -6.0926826661769d-01,-1.1211424623156d+00,-9.6409562402106d-01,
-     |  -2.0044861479688d-01, 6.8456879270203d-01, 1.0758187823386d+00,
-     |   6.7959934922653d-01,-2.2099325533599d-01,-9.4966018993674d-01,
-     |  -9.4966018993674d-01,-2.2099325533599d-01, 6.7959934922653d-01,
-     |   1.0758187823386d+00, 6.8456879270203d-01,-2.0044861479688d-01,
-     |  -9.6409562402107d-01,-1.1211424623156d+00,-6.0926826661769d-01,
-     |   2.4932282265316d-01, 1.0172700674246d+00, 1.4084744722923d+00,
-     |   1.3874657510660d+00, 1.0988720547611d+00, 7.3113193430942d-01,
-     |   4.1670064312758d-01, 2.0519196379521d-01, 8.7512513364468d-02,
-     |   3.2270362280491d-02, 1.0236344450367d-02, 2.7701719459056d-03,
-     |   6.3221719845429d-04, 1.1982816379287d-04, 1.8489327151180d-05,
-     |   2.2632681483120d-06, 2.1251579817991d-07, 1.4641616003259d-08,
-     |   6.9713551924763d-10, 2.1111973851161d-11, 3.6092674809243d-13,
-     |   2.9098673849618d-15, 8.2832969811366d-18, 4.9973332297157d-21,
-     |   2.2695233224379d-25, 5.3428934618518d-32, 2.6777805802060d-46/
-      data (pmn(lat,31,36), lat = 1,72)/
-     |   1.8896019757974d-48, 1.1328885099159d-33, 8.0461413882342d-27,
-     |   2.4924338074406d-22, 5.3464444332508d-19, 2.3145602849775d-16,
-     |   3.4271273835774d-14, 2.3408510285653d-12, 8.8833012679231d-11,
-     |   2.1190116043193d-09, 3.4624544229676d-08, 4.1239126999921d-07,
-     |   3.7495352706894d-06, 2.6955292617049d-05, 1.5743278422542d-04,
-     |   7.6300861822506d-04, 3.1199706181716d-03, 1.0903480036449d-02,
-     |   3.2888346184311d-02, 8.6230166648011d-02, 1.9739925875733d-01,
-     |   3.9517995473232d-01, 6.9053422591489d-01, 1.0459753083756d+00,
-     |   1.3523981711867d+00, 1.4436773221625d+00, 1.1703395391141d+00,
-     |   5.1325288556778d-01,-3.3426170558210d-01,-1.0038853289976d+00,
-     |  -1.1372212274592d+00,-6.2877251581346d-01, 2.4744466970388d-01,
-     |   9.5972729282323d-01, 1.0489338895410d+00, 4.4865741105366d-01,
-     |  -4.4865741105365d-01,-1.0489338895410d+00,-9.5972729282323d-01,
-     |  -2.4744466970388d-01, 6.2877251581345d-01, 1.1372212274592d+00,
-     |   1.0038853289976d+00, 3.3426170558211d-01,-5.1325288556777d-01,
-     |  -1.1703395391141d+00,-1.4436773221625d+00,-1.3523981711867d+00,
-     |  -1.0459753083756d+00,-6.9053422591489d-01,-3.9517995473232d-01,
-     |  -1.9739925875734d-01,-8.6230166648012d-02,-3.2888346184312d-02,
-     |  -1.0903480036449d-02,-3.1199706181716d-03,-7.6300861822507d-04,
-     |  -1.5743278422542d-04,-2.6955292617049d-05,-3.7495352706895d-06,
-     |  -4.1239126999921d-07,-3.4624544229676d-08,-2.1190116043193d-09,
-     |  -8.8833012679234d-11,-2.3408510285654d-12,-3.4271273835774d-14,
-     |  -2.3145602849776d-16,-5.3464444332508d-19,-2.4924338074406d-22,
-     |  -8.0461413882342d-27,-1.1328885099159d-33,-1.8896019757974d-48/
-      data (pmn(lat,32,36), lat = 1,72)/
-     |   1.1879539924872d-50, 2.1399222165697d-35, 2.5408123219715d-28,
-     |   1.1069724042881d-23, 3.0719394295317d-20, 1.6381983057986d-17,
-     |   2.8941160322814d-15, 2.3068252615543d-13, 1.0052910810612d-11,
-     |   2.7210479763153d-10, 4.9998436043385d-09, 6.6510679975986d-08,
-     |   6.7198561525714d-07, 5.3485535774432d-06, 3.4501736119563d-05,
-     |   1.8444215877893d-04, 8.3170595173298d-04, 3.2082130776254d-03,
-     |   1.0703976829570d-02, 3.1154856252330d-02, 7.9603536225920d-02,
-     |   1.7928445608106d-01, 3.5655218044440d-01, 6.2549884864806d-01,
-     |   9.6323302269746d-01, 1.2877131023450d+00, 1.4604148737500d+00,
-     |   1.3336106254120d+00, 8.3756360485275d-01, 6.4455028064401d-02,
-     |  -7.1772234503297d-01,-1.1649133399924d+00,-1.0417437765079d+00,
-     |  -3.8555463204364d-01, 4.7146841766190d-01, 1.0655402522636d+00,
-     |   1.0655402522636d+00, 4.7146841766190d-01,-3.8555463204363d-01,
-     |  -1.0417437765079d+00,-1.1649133399924d+00,-7.1772234503297d-01,
-     |   6.4455028064398d-02, 8.3756360485274d-01, 1.3336106254120d+00,
-     |   1.4604148737500d+00, 1.2877131023450d+00, 9.6323302269746d-01,
-     |   6.2549884864806d-01, 3.5655218044440d-01, 1.7928445608106d-01,
-     |   7.9603536225921d-02, 3.1154856252330d-02, 1.0703976829570d-02,
-     |   3.2082130776254d-03, 8.3170595173298d-04, 1.8444215877893d-04,
-     |   3.4501736119562d-05, 5.3485535774432d-06, 6.7198561525715d-07,
-     |   6.6510679975986d-08, 4.9998436043385d-09, 2.7210479763153d-10,
-     |   1.0052910810612d-11, 2.3068252615544d-13, 2.8941160322814d-15,
-     |   1.6381983057987d-17, 3.0719394295317d-20, 1.1069724042881d-23,
-     |   2.5408123219715d-28, 2.1399222165697d-35, 1.1879539924872d-50/
-      data (pmn(lat,33,36), lat = 1,72)/
-     |   6.5249350599015d-53, 3.5312242198128d-37, 7.0082864082981d-30,
-     |   4.2934812739795d-25, 1.5409578924165d-21, 1.0118798799399d-18,
-     |   2.1318653929684d-16, 1.9818128443079d-14, 9.9109372259583d-13,
-     |   3.0414824882429d-11, 6.2784003662724d-10, 9.3172757643485d-09,
-     |   1.0446236186534d-07, 9.1903965719583d-07, 6.5349332482461d-06,
-     |   3.8443231766964d-05, 1.9062090923203d-04, 8.0873534907526d-04,
-     |   2.9714775506538d-03, 9.5470273912143d-03, 2.7027070903438d-02,
-     |   6.7805947712573d-02, 1.5135952156880d-01, 3.0127387397005d-01,
-     |   5.3473377859857d-01, 8.4401404334899d-01, 1.1765473332810d+00,
-     |   1.4282158769826d+00, 1.4662762999197d+00, 1.1865888309667d+00,
-     |   5.8563436224018d-01,-1.9477290793890d-01,-8.9232373395512d-01,
-     |  -1.2278696854612d+00,-1.0451706065193d+00,-4.0839834941871d-01,
-     |   4.0839834941871d-01, 1.0451706065193d+00, 1.2278696854612d+00,
-     |   8.9232373395512d-01, 1.9477290793890d-01,-5.8563436224019d-01,
-     |  -1.1865888309667d+00,-1.4662762999197d+00,-1.4282158769826d+00,
-     |  -1.1765473332810d+00,-8.4401404334899d-01,-5.3473377859858d-01,
-     |  -3.0127387397005d-01,-1.5135952156880d-01,-6.7805947712573d-02,
-     |  -2.7027070903439d-02,-9.5470273912144d-03,-2.9714775506539d-03,
-     |  -8.0873534907526d-04,-1.9062090923203d-04,-3.8443231766965d-05,
-     |  -6.5349332482460d-06,-9.1903965719582d-07,-1.0446236186534d-07,
-     |  -9.3172757643485d-09,-6.2784003662724d-10,-3.0414824882429d-11,
-     |  -9.9109372259586d-13,-1.9818128443080d-14,-2.1318653929684d-16,
-     |  -1.0118798799400d-18,-1.5409578924165d-21,-4.2934812739795d-25,
-     |  -7.0082864082981d-30,-3.5312242198128d-37,-6.5249350599015d-53/
-      data (pmn(lat,34,36), lat = 1,72)/
-     |   3.0341663537789d-55, 4.9329995545182d-39, 1.6362617669644d-31,
-     |   1.4092810116810d-26, 6.5398305851106d-23, 5.2861322217683d-20,
-     |   1.3275867062830d-17, 1.4386083228939d-15, 8.2508295437673d-14,
-     |   2.8686117067125d-12, 6.6465773509283d-11, 1.0992448682341d-09,
-     |   1.3659643680527d-08, 1.3264423276011d-07, 1.0379082837909d-06,
-     |   6.7052851366502d-06, 3.6471429061719d-05, 1.6968817103728d-04,
-     |   6.8412147953868d-04, 2.4154270867890d-03, 7.5332318260945d-03,
-     |   2.0898625479101d-02, 5.1853833039910d-02, 1.1554361105983d-01,
-     |   2.3183863222557d-01, 4.1938962917814d-01, 6.8354569741619d-01,
-     |   1.0006626686836d+00, 1.3066926053230d+00, 1.5012992837143d+00,
-     |   1.4754809978264d+00, 1.1590322531882d+00, 5.6876523896143d-01,
-     |  -1.7044226329993d-01,-8.5249955788475d-01,-1.2621457033563d+00,
-     |  -1.2621457033563d+00,-8.5249955788475d-01,-1.7044226329994d-01,
-     |   5.6876523896143d-01, 1.1590322531882d+00, 1.4754809978264d+00,
-     |   1.5012992837143d+00, 1.3066926053230d+00, 1.0006626686836d+00,
-     |   6.8354569741619d-01, 4.1938962917814d-01, 2.3183863222557d-01,
-     |   1.1554361105983d-01, 5.1853833039910d-02, 2.0898625479101d-02,
-     |   7.5332318260947d-03, 2.4154270867890d-03, 6.8412147953869d-04,
-     |   1.6968817103728d-04, 3.6471429061719d-05, 6.7052851366503d-06,
-     |   1.0379082837909d-06, 1.3264423276011d-07, 1.3659643680527d-08,
-     |   1.0992448682341d-09, 6.6465773509283d-11, 2.8686117067125d-12,
-     |   8.2508295437676d-14, 1.4386083228940d-15, 1.3275867062830d-17,
-     |   5.2861322217686d-20, 6.5398305851106d-23, 1.4092810116810d-26,
-     |   1.6362617669644d-31, 4.9329995545182d-39, 3.0341663537789d-55/
-      data (pmn(lat,35,36), lat = 1,72)/
-     |   1.1270541056820d-57, 5.5044412988112d-41, 3.0511115989550d-33,
-     |   3.6937788740211d-28, 2.2157459404885d-24, 2.2038752656079d-21,
-     |   6.5953127208552d-19, 8.3269404212539d-17, 5.4739042379485d-15,
-     |   2.1546851844575d-13, 5.5992601754564d-12, 1.0310569133032d-10,
-     |   1.4185096874116d-09, 1.5184689267343d-08, 1.3055513488712d-07,
-     |   9.2463267202551d-07, 5.5053487529217d-06, 2.8019807006562d-05,
-     |   1.2358293635823d-04, 4.7774368858682d-04, 1.6340925465367d-03,
-     |   4.9844760152945d-03, 1.3647652498151d-02, 3.3722546968851d-02,
-     |   7.5523077513341d-02, 1.5380849751458d-01, 2.8552189786994d-01,
-     |   4.8374297771172d-01, 7.4803609838642d-01, 1.0540734707843d+00,
-     |   1.3481120600556d+00, 1.5524557508427d+00, 1.5846941946051d+00,
-     |   1.3866802846404d+00, 9.5216944583875d-01, 3.3949303168410d-01,
-     |  -3.3949303168409d-01,-9.5216944583875d-01,-1.3866802846404d+00,
-     |  -1.5846941946051d+00,-1.5524557508427d+00,-1.3481120600556d+00,
-     |  -1.0540734707843d+00,-7.4803609838642d-01,-4.8374297771172d-01,
-     |  -2.8552189786994d-01,-1.5380849751458d-01,-7.5523077513341d-02,
-     |  -3.3722546968852d-02,-1.3647652498151d-02,-4.9844760152945d-03,
-     |  -1.6340925465367d-03,-4.7774368858683d-04,-1.2358293635824d-04,
-     |  -2.8019807006562d-05,-5.5053487529217d-06,-9.2463267202552d-07,
-     |  -1.3055513488711d-07,-1.5184689267343d-08,-1.4185096874116d-09,
-     |  -1.0310569133032d-10,-5.5992601754564d-12,-2.1546851844575d-13,
-     |  -5.4739042379487d-15,-8.3269404212540d-17,-6.5953127208552d-19,
-     |  -2.2038752656080d-21,-2.2157459404885d-24,-3.6937788740211d-28,
-     |  -3.0511115989550d-33,-5.5044412988112d-41,-1.1270541056820d-57/
-      data (pmn(lat,36,36), lat = 1,72)/
-     |   2.8982430853743d-60, 4.2518347674672d-43, 3.9380080728188d-35,
-     |   6.7001543022215d-30, 5.1941621155019d-26, 6.3555328666236d-23,
-     |   2.2655210442680d-20, 3.3311981826294d-18, 2.5086792581809d-16,
-     |   1.1173279118313d-14, 3.2541637959924d-13, 6.6663339466475d-12,
-     |   1.0144304837094d-10, 1.1957275833757d-09, 1.1281533426177d-08,
-     |   8.7456873048582d-08, 5.6899247814420d-07, 3.1611361702619d-06,
-     |   1.5214158944556d-05, 6.4200849191169d-05, 2.3994927521493d-04,
-     |   8.0114815603634d-04, 2.4071276454780d-03, 6.5493452740912d-03,
-     |   1.6223432842479d-02, 3.6756916538777d-02, 7.6473347790064d-02,
-     |   1.4660008886808d-01, 2.5970185178629d-01, 4.2619237808996d-01,
-     |   6.4927478824242d-01, 9.1979532107026d-01, 1.2133862217081d+00,
-     |   1.4921941577913d+00, 1.7120585411880d+00, 1.8336157263538d+00,
-     |   1.8336157263538d+00, 1.7120585411880d+00, 1.4921941577913d+00,
-     |   1.2133862217081d+00, 9.1979532107026d-01, 6.4927478824242d-01,
-     |   4.2619237808996d-01, 2.5970185178629d-01, 1.4660008886808d-01,
-     |   7.6473347790064d-02, 3.6756916538777d-02, 1.6223432842479d-02,
-     |   6.5493452740912d-03, 2.4071276454780d-03, 8.0114815603634d-04,
-     |   2.3994927521494d-04, 6.4200849191169d-05, 1.5214158944556d-05,
-     |   3.1611361702619d-06, 5.6899247814421d-07, 8.7456873048583d-08,
-     |   1.1281533426177d-08, 1.1957275833757d-09, 1.0144304837094d-10,
-     |   6.6663339466475d-12, 3.2541637959924d-13, 1.1173279118313d-14,
-     |   2.5086792581810d-16, 3.3311981826294d-18, 2.2655210442680d-20,
-     |   6.3555328666240d-23, 5.1941621155019d-26, 6.7001543022215d-30,
-     |   3.9380080728188d-35, 4.2518347674672d-43, 2.8982430853743d-60/
-      data (pmn(lat, 0,37), lat = 1,72)/
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-      data (pmn(lat, 1,37), lat = 1,72)/
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-      data (pmn(lat, 2,37), lat = 1,72)/
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-      data (pmn(lat, 3,37), lat = 1,72)/
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-      data (pmn(lat, 4,37), lat = 1,72)/
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-      data (pmn(lat, 5,37), lat = 1,72)/
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-      data (pmn(lat, 6,37), lat = 1,72)/
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-      data (pmn(lat, 7,37), lat = 1,72)/
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-      data (pmn(lat, 8,37), lat = 1,72)/
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-      data (pmn(lat, 9,37), lat = 1,72)/
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-     |   6.3791543191372d-03, 8.4127945800575d-05, 4.8771643989261d-09/
-      data (pmn(lat,10,37), lat = 1,72)/
-     |   1.9329998019374d-10, 1.0131105700149d-05, 1.3150819246748d-03,
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-     |  -1.3150819246748d-03,-1.0131105700149d-05,-1.9329998019374d-10/
-      data (pmn(lat,11,37), lat = 1,72)/
-     |   6.9098338774241d-12, 1.0980725706617d-06, 2.4288300116021d-04,
-     |   7.0172218126186d-03, 6.9889229917061d-02, 3.4457687911495d-01,
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-     |   2.4288300116021d-04, 1.0980725706617d-06, 6.9098338774241d-12/
-      data (pmn(lat,12,37), lat = 1,72)/
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-     |   1.6899184843085d-03, 2.2602807546694d-02, 1.4495414062219d-01,
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-     |  -4.0554728416756d-05,-1.0797297350211d-07,-2.2444612488631d-13/
-      data (pmn(lat,13,37), lat = 1,72)/
-     |   6.6649683357550d-15, 9.6937960964929d-09, 6.1661359039978d-06,
-     |   3.6891695403902d-04, 6.5789740539093d-03, 5.4250892227360d-02,
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-     |   6.1661359039978d-06, 9.6937960964929d-09, 6.6649683357550d-15/
-      data (pmn(lat,14,37), lat = 1,72)/
-     |   1.8183678203682d-16, 7.9879362424262d-10, 8.5866589042342d-07,
-     |   7.3502847034729d-05, 1.7382300134907d-03, 1.8276882808037d-02,
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-     |  -8.5866589042342d-07,-7.9879362424262d-10,-1.8183678203682d-16/
-      data (pmn(lat,15,37), lat = 1,72)/
-     |   4.5765025181637d-18, 6.0672316979645d-11, 1.1002941098948d-07,
-     |   1.3438204568889d-05, 4.1964670232515d-04, 5.5909951733691d-03,
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-     |  -6.0990009727427d-01, 5.2383858722873d-01, 6.8710344672585d-01,
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-     |   2.5950420424223d-01, 1.1012958460580d+00, 3.3091480507382d-01,
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-     |   1.1002941098948d-07, 6.0672316979645d-11, 4.5765025181637d-18/
-      data (pmn(lat,16,37), lat = 1,72)/
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-      data (pmn(lat,17,37), lat = 1,72)/
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-      data (pmn(lat,18,37), lat = 1,72)/
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-      data (pmn(lat,19,37), lat = 1,72)/
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-     |   1.3787676906270d-11, 9.4968676373778d-16, 8.6849830474874d-25/
-      data (pmn(lat,20,37), lat = 1,72)/
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-      data (pmn(lat,21,37), lat = 1,72)/
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-     |   9.9718305612950d-11, 1.5663008396518d-08, 8.0125427715002d-07,
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-     |   1.0033074239001d-13, 2.4541252388390d-18, 2.4769171334956d-28/
-      data (pmn(lat,22,37), lat = 1,72)/
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-     |   1.0832547218362d-11, 2.2151425691200d-09, 1.4074811793270d-07,
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-     |  -7.7141033363360d-15,-1.1253593299451d-19,-3.7747923044469d-30/
-      data (pmn(lat,23,37), lat = 1,72)/
-     |   5.3727022204026d-32, 4.8184491044304d-21, 5.5355559644645d-16,
-     |   1.0974992220177d-12, 2.9188807452541d-10, 2.3005337584903d-08,
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-     |   5.5355559644645d-16, 4.8184491044304d-21, 5.3727022204026d-32/
-      data (pmn(lat,24,37), lat = 1,72)/
-     |   7.1384877199666d-34, 1.9255382963632d-22, 3.7058919551965d-17,
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-      data (pmn(lat,25,37), lat = 1,72)/
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-      data (pmn(lat,26,37), lat = 1,72)/
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-     |  -1.3432304141115d-19,-2.4893035107059d-25,-1.0206711848466d-37/
-      data (pmn(lat,27,37), lat = 1,72)/
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-     |   5.6780693489578d-17, 4.2880247616743d-14, 7.9207001288568d-12,
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-     |   7.9207001288572d-12, 4.2880247616743d-14, 5.6780693489578d-17,
-     |   7.2468858419653d-21, 8.0241923891835d-27, 1.0944077675582d-39/
-      data (pmn(lat,28,37), lat = 1,72)/
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-     |   3.9961527422449d-18, 3.9116607072095d-15, 8.9225810289827d-13,
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-     |  -3.6212647305711d-22,-2.3962985802806d-28,-1.0872813257457d-41/
-      data (pmn(lat,29,37), lat = 1,72)/
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-     |   2.5940590166221d-19, 3.2897017672736d-16, 9.2606656777420d-14,
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-     |   1.6696081075858d-23, 6.6042447053729d-30, 9.9700032588582d-44/
-      data (pmn(lat,30,37), lat = 1,72)/
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-     |   1.5453003287470d-20, 2.5378325571890d-17, 8.8118277551624d-15,
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-     |  -7.0664017219447d-25,-1.6711775253153d-31,-8.3947776247607d-46/
-      data (pmn(lat,31,37), lat = 1,72)/
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-     |   8.3903817455355d-22, 1.7837706106178d-18, 7.6356203849033d-16,
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-     |   7.6356203849038d-16, 1.7837706106178d-18, 8.3903817455355d-22,
-     |   2.7267117416978d-26, 3.8561909097793d-33, 6.4461268792642d-48/
-      data (pmn(lat,32,37), lat = 1,72)/
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-     |   1.0408006700115d-14, 8.1673504370797d-13, 3.4953657070932d-11,
-     |   9.2670249606430d-10, 1.6633052924135d-08, 2.1550272944611d-07,
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-     |   3.4960347788356d-01, 6.3178719890661d-01, 9.8833033814536d-01,
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-     |  -9.5033416284585d-28,-8.0382732844300d-35,-4.4719039959066d-50/
-      data (pmn(lat,33,37), lat = 1,72)/
-     |   2.7659984626809d-52, 1.4938271106450d-36, 2.9524402336997d-29,
-     |   1.7974597247241d-24, 6.3972494767535d-21, 4.1566030755211d-18,
-     |   8.6458321766167d-16, 7.9167641084757d-14, 3.8904699296829d-12,
-     |   1.1702944933657d-10, 2.3618306728032d-09, 3.4172974162535d-08,
-     |   3.7245704603181d-07, 3.1754894162492d-06, 2.1807479147410d-05,
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-     |   9.1216555065074d-01, 1.2526863164527d+00, 1.4600225000861d+00,
-     |   1.3762389642401d+00, 9.1234230100089d-01, 1.4272553132528d-01,
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-     |   1.4272553132528d-01, 9.1234230100089d-01, 1.3762389642401d+00,
-     |   1.4600225000861d+00, 1.2526863164527d+00, 9.1216555065074d-01,
-     |   5.7600614281383d-01, 3.1871692829600d-01, 1.5521441471185d-01,
-     |   6.6574087609860d-02, 2.5097182284854d-02, 8.2790669919414d-03,
-     |   2.3741375234318d-03, 5.8658387081484d-04, 1.2344301611469d-04,
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-     |   3.8904699296830d-12, 7.9167641084758d-14, 8.6458321766167d-16,
-     |   4.1566030755214d-18, 6.3972494767535d-21, 1.7974597247241d-24,
-     |   2.9524402336997d-29, 1.4938271106450d-36, 2.7659984626809d-52/
-      data (pmn(lat,34,37), lat = 1,72)/
-     |   1.4957804966236d-54, 2.4269713957311d-38, 8.0177525895689d-31,
-     |   6.8636799161215d-26, 3.1592695192488d-22, 2.5275730339068d-19,
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-     |   1.2875457532255d-11, 2.9189582143221d-10, 4.7111759107929d-09,
-     |   5.6974531480006d-08, 5.3685988013104d-07, 4.0634597595183d-06,
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-     |   4.9506970196732d-01, 8.0049787454262d-01, 1.1412042706131d+00,
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-     |   4.1666842944375d-01, 1.0612690854256d+00, 1.2323015063521d+00,
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-     |  -2.5275730339069d-19,-3.1592695192488d-22,-6.8636799161215d-26,
-     |  -8.0177525895689d-31,-2.4269713957311d-38,-1.4957804966236d-54/
-      data (pmn(lat,35,37), lat = 1,72)/
-     |   6.8526568194902d-57, 3.3402342786865d-40, 1.8442389522226d-32,
-     |   2.2195465235804d-27, 1.3209173068250d-23, 1.3008233958561d-20,
-     |   3.8462444300824d-18, 4.7877144530366d-16, 3.0961649376875d-14,
-     |   1.1961999722307d-12, 3.0437749414640d-11, 5.4745453618658d-10,
-     |   7.3374866838489d-09, 7.6308225557613d-08, 6.3552682869173d-07,
-     |   4.3462739834512d-06, 2.4903857032776d-05, 1.2152861129820d-04,
-     |   5.1185491437674d-04, 1.8811095854292d-03, 6.0862771713710d-03,
-     |   1.7461760550727d-02, 4.4677865628053d-02, 1.0238127016313d-01,
-     |   2.1072562687407d-01, 3.9009225085550d-01, 6.4917686810094d-01,
-     |   9.6834593438001d-01, 1.2860619484968d+00, 1.5005809761662d+00,
-     |   1.4967046535938d+00, 1.1953640569520d+00, 6.0654836402684d-01,
-     |  -1.4503477871700d-01,-8.4571948550813d-01,-1.2688498731121d+00,
-     |  -1.2688498731121d+00,-8.4571948550814d-01,-1.4503477871700d-01,
-     |   6.0654836402684d-01, 1.1953640569520d+00, 1.4967046535938d+00,
-     |   1.5005809761662d+00, 1.2860619484968d+00, 9.6834593438002d-01,
-     |   6.4917686810093d-01, 3.9009225085551d-01, 2.1072562687407d-01,
-     |   1.0238127016313d-01, 4.4677865628053d-02, 1.7461760550727d-02,
-     |   6.0862771713711d-03, 1.8811095854292d-03, 5.1185491437674d-04,
-     |   1.2152861129820d-04, 2.4903857032777d-05, 4.3462739834512d-06,
-     |   6.3552682869172d-07, 7.6308225557613d-08, 7.3374866838490d-09,
-     |   5.4745453618658d-10, 3.0437749414640d-11, 1.1961999722307d-12,
-     |   3.0961649376876d-14, 4.7877144530367d-16, 3.8462444300824d-18,
-     |   1.3008233958562d-20, 1.3209173068250d-23, 2.2195465235804d-27,
-     |   1.8442389522226d-32, 3.3402342786865d-40, 6.8526568194902d-57/
-      data (pmn(lat,36,37), lat = 1,72)/
-     |   2.5093548376371d-59, 3.6743130550614d-42, 3.3901446779013d-34,
-     |   5.7349714548550d-29, 4.4118432247922d-25, 5.3463181528411d-22,
-     |   1.8836166403028d-19, 2.7318008623072d-17, 2.0248616263858d-15,
-     |   8.8568683364019d-14, 2.5275564599672d-12, 5.0615316605901d-11,
-     |   7.5105937311933d-10, 8.6101211277197d-09, 7.8790400255407d-08,
-     |   5.9068352324619d-07, 3.7047804258009d-06, 1.9775610841629d-05,
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-     |   4.1025929986827d-03, 1.1581604255448d-02, 2.9424297241841d-02,
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-     |  -5.0615316605901d-11,-2.5275564599672d-12,-8.8568683364022d-14,
-     |  -2.0248616263859d-15,-2.7318008623073d-17,-1.8836166403028d-19,
-     |  -5.3463181528414d-22,-4.4118432247922d-25,-5.7349714548550d-29,
-     |  -3.3901446779013d-34,-3.6743130550614d-42,-2.5093548376371d-59/
-      data (pmn(lat,37,37), lat = 1,72)/
-     |   6.3650601016599d-62, 2.7995593472689d-44, 4.3160565880460d-36,
-     |   1.0261138754447d-30, 1.0201546129783d-26, 1.5207931441740d-23,
-     |   6.3822764926333d-21, 1.0779892741671d-18, 9.1536369179562d-17,
-     |   4.5303045604076d-15, 1.4489720727536d-13, 3.2280241352232d-12,
-     |   5.2980328164480d-11, 6.6878417507430d-10, 6.7158018187026d-09,
-     |   5.5109942157810d-08, 3.7768918671691d-07, 2.2006874152115d-06,
-     |   1.1064168783159d-05, 4.8593799883625d-05, 1.8839288368074d-04,
-     |   6.5043237470944d-04, 2.0149314437135d-03, 5.6368179107570d-03,
-     |   1.4319299988236d-02, 3.3188274142717d-02, 7.0468298223511d-02,
-     |   1.3755253060579d-01, 2.4757555047725d-01, 4.1192128778937d-01,
-     |   6.3491488667252d-01, 9.0819667421199d-01, 1.2073401835770d+00,
-     |   1.4933138942181d+00, 1.7198973516599d+00, 1.8455241572053d+00,
-     |   1.8455241572053d+00, 1.7198973516599d+00, 1.4933138942181d+00,
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-     |   5.6368179107571d-03, 2.0149314437135d-03, 6.5043237470944d-04,
-     |   1.8839288368075d-04, 4.8593799883626d-05, 1.1064168783159d-05,
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-     |   9.1536369179565d-17, 1.0779892741671d-18, 6.3822764926333d-21,
-     |   1.5207931441741d-23, 1.0201546129783d-26, 1.0261138754447d-30,
-     |   4.3160565880460d-36, 2.7995593472689d-44, 6.3650601016599d-62/
-      data (pmn(lat, 0,38), lat = 1,72)/
-     |   5.1579288062825d+00,-3.6138475467102d-01,-2.3389517808536d+00,
-     |   7.2128571098507d-01, 1.6049680001668d+00,-9.0546839360998d-01,
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-     |   7.9577184671269d-01,-2.3336346190114d-01,-7.3820787302503d-01,
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-     |  -5.5590660644681d-01, 7.8274836564361d-01, 4.0333766451194d-01,
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-     |  -2.3389517808536d+00,-3.6138475467102d-01, 5.1579288062825d+00/
-      data (pmn(lat, 1,38), lat = 1,72)/
-     |   2.3826288103651d+00, 3.0550243399353d+00,-8.5973559729898d-01,
-     |  -1.8569002630838d+00, 9.3097943468452d-01, 1.3160321692674d+00,
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-     |   1.0880926573870d+00, 8.9433627045241d-02,-1.0376776669693d+00,
-     |   1.3289905598418d-01, 9.5468803867585d-01,-3.2758472723261d-01,
-     |  -8.4282533547800d-01, 4.9268703170448d-01, 7.0651358703718d-01,
-     |  -6.2600693616290d-01,-5.5079375562357d-01, 7.2559250019511d-01,
-     |   3.8120012599448d-01,-7.9004956278498d-01,-2.0361728937567d-01,
-     |   8.1873561254864d-01, 2.4121977748299d-02,-8.1187537892728d-01,
-     |   1.5118441514470d-01, 7.7061769850677d-01,-3.1634639197488d-01,
-     |  -6.9704462070400d-01, 4.6572175826804d-01, 5.9413982359310d-01,
-     |  -5.9413982359310d-01,-4.6572175826804d-01, 6.9704462070400d-01,
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-     |   8.1187537892728d-01,-2.4121977748288d-02,-8.1873561254864d-01,
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-     |  -7.2559250019511d-01, 5.5079375562357d-01, 6.2600693616290d-01,
-     |  -7.0651358703717d-01,-4.9268703170448d-01, 8.4282533547800d-01,
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-     |   8.5973559729898d-01,-3.0550243399353d+00,-2.3826288103651d+00/
-      data (pmn(lat, 2,38), lat = 1,72)/
-     |   5.1533031677953d-01, 2.7848019010525d+00, 1.9324196908146d+00,
-     |  -1.3489750772517d+00,-1.3627322783585d+00, 1.1856782323703d+00,
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-      data (pmn(lat, 3,38), lat = 1,72)/
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-      data (pmn(lat, 4,38), lat = 1,72)/
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-      data (pmn(lat, 5,38), lat = 1,72)/
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-      data (pmn(lat, 6,38), lat = 1,72)/
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-      data (pmn(lat, 7,38), lat = 1,72)/
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-      data (pmn(lat, 8,38), lat = 1,72)/
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-     |   3.3481850566390d-02, 7.7388842125757d-04, 1.3783004743802d-07/
-      data (pmn(lat, 9,38), lat = 1,72)/
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-      data (pmn(lat,10,38), lat = 1,72)/
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-      data (pmn(lat,11,38), lat = 1,72)/
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-      data (pmn(lat,12,38), lat = 1,72)/
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-      data (pmn(lat,13,38), lat = 1,72)/
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-      data (pmn(lat,14,38), lat = 1,72)/
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-      data (pmn(lat,15,38), lat = 1,72)/
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-      data (pmn(lat,16,38), lat = 1,72)/
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-      data (pmn(lat,17,38), lat = 1,72)/
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-      data (pmn(lat,18,38), lat = 1,72)/
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-      data (pmn(lat,19,38), lat = 1,72)/
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-     |  -2.3922702886058d-11,-1.6599017302689d-15,-1.5235190402169d-24/
-      data (pmn(lat,20,38), lat = 1,72)/
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-     |   1.5238163910851d-09, 1.8100894421682d-07, 7.3069097345550d-06,
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-     |   2.1910557457373d-12, 9.0537058281696d-17, 2.7597246223226d-26/
-      data (pmn(lat,21,38), lat = 1,72)/
-     |   4.6735745807302d-28, 4.6153205716715d-18, 1.8743587983815d-13,
-     |   1.8442042517093d-10, 2.8573020005295d-08, 1.4362404127186d-06,
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-     |  -1.8743587983815d-13,-4.6153205716715d-18,-4.6735745807302d-28/
-      data (pmn(lat,22,38), lat = 1,72)/
-     |   7.4037648889015d-30, 2.2002949487959d-19, 1.4987076372814d-14,
-     |   2.0843821491472d-11, 4.2070416409309d-09, 2.6288881475256d-07,
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-     |   2.6288881475257d-07, 4.2070416409309d-09, 2.0843821491472d-11,
-     |   1.4987076372814d-14, 2.2002949487959d-19, 7.4037648889015d-30/
-      data (pmn(lat,23,38), lat = 1,72)/
-     |   1.0973953202457d-31, 9.8121718710419d-21, 1.1204129558944d-15,
-     |   2.2009921053658d-12, 5.7811502539229d-10, 4.4845807459847d-08,
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-     |  -1.1204129558944d-15,-9.8121718710419d-21,-1.0973953202457d-31/
-      data (pmn(lat,24,38), lat = 1,72)/
-     |   1.5215829732553d-33, 4.0924360448701d-22, 7.8304926517098d-17,
-     |   2.1713294687622d-13, 7.4151619173405d-11, 7.1319927938300d-09,
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-     |   8.5814691111529d-02, 2.4971293293440d-01, 5.7448640150512d-01,
-     |   1.0389067927332d+00, 1.4368256411677d+00, 1.4012214695158d+00,
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-     |   7.1319927938303d-09, 7.4151619173405d-11, 2.1713294687622d-13,
-     |   7.8304926517098d-17, 4.0924360448701d-22, 1.5215829732553d-33/
-      data (pmn(lat,25,38), lat = 1,72)/
-     |   1.9723428082004d-35, 1.5954151923795d-23, 5.1134478000852d-18,
-     |   2.0003089716374d-14, 8.8744815478090d-12, 1.0571928789157d-09,
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-     |   3.5669566773123d-02, 1.1887144486536d-01, 3.1613401588523d-01,
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-     |  -1.1430878843745d+00,-6.7990345851135d-01, 4.2792093877354d-01,
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-     |  -5.1134478000852d-18,-1.5954151923795d-23,-1.9723428082004d-35/
-      data (pmn(lat,26,38), lat = 1,72)/
-     |   2.3875609068639d-37, 5.8073837153521d-25, 3.1168109806955d-19,
-     |   1.7191723248634d-15, 9.9016904919749d-13, 1.4596087830692d-10,
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-     |   1.4596087830693d-10, 9.9016904919749d-13, 1.7191723248634d-15,
-     |   3.1168109806955d-19, 5.8073837153521d-25, 2.3875609068639d-37/
-      data (pmn(lat,27,38), lat = 1,72)/
-     |   2.6947218386690d-39, 1.9706613224649d-26, 1.7705339445238d-20,
-     |   1.3763929138262d-16, 1.0284999599365d-13, 1.8745184803558d-11,
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-     |  -5.8916755619083d-01, 4.7764847592445d-01, 1.0387063710702d+00,
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-     |  -2.3470431669798d-01, 7.6970960964685d-01, 8.2232026721548d-01,
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-     |  -9.5962715484006d-07,-4.6397140445152d-08,-1.3184163841292d-09,
-     |  -1.8745184803559d-11,-1.0284999599365d-13,-1.3763929138262d-16,
-     |  -1.7705339445238d-20,-1.9706613224649d-26,-2.6947218386690d-39/
-      data (pmn(lat,28,38), lat = 1,72)/
-     |   2.8293923555240d-41, 6.2202376830780d-28, 9.3529244432795d-22,
-     |   1.0243286292889d-17, 9.9250037563321d-15, 2.2348951799012d-12,
-     |   1.8824755843598d-10, 7.7664604262957d-09, 1.8550351467469d-07,
-     |   2.8648382775128d-06, 3.0878097321722d-05, 2.4530216901470d-04,
-     |   1.4946009326485d-03, 7.1912600054755d-03, 2.7909208160634d-02,
-     |   8.8659113528380d-02, 2.3255915869127d-01, 5.0498414309649d-01,
-     |   9.0282001888460d-01, 1.3048133360142d+00, 1.4559532564526d+00,
-     |   1.0965589735776d+00, 2.2117114793601d-01,-7.4555164932066d-01,
-     |  -1.1374945463595d+00,-6.0341942480590d-01, 4.3965002709107d-01,
-     |   1.0380446611545d+00, 5.9087719026393d-01,-4.5861086583505d-01,
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-     |   9.3540078139871d-01, 1.5211989415211d-01,-8.0725897918584d-01,
-     |  -8.0725897918584d-01, 1.5211989415211d-01, 9.3540078139871d-01,
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-     |   4.3965002709107d-01,-6.0341942480590d-01,-1.1374945463595d+00,
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-     |   1.4559532564526d+00, 1.3048133360142d+00, 9.0282001888460d-01,
-     |   5.0498414309649d-01, 2.3255915869127d-01, 8.8659113528381d-02,
-     |   2.7909208160633d-02, 7.1912600054754d-03, 1.4946009326486d-03,
-     |   2.4530216901470d-04, 3.0878097321722d-05, 2.8648382775128d-06,
-     |   1.8550351467469d-07, 7.7664604262958d-09, 1.8824755843598d-10,
-     |   2.2348951799013d-12, 9.9250037563321d-15, 1.0243286292889d-17,
-     |   9.3529244432795d-22, 6.2202376830780d-28, 2.8293923555240d-41/
-      data (pmn(lat,29,38), lat = 1,72)/
-     |   2.7554671807097d-43, 1.8208501680710d-29, 4.5809996883507d-23,
-     |   7.0655896665488d-19, 8.8726305327247d-16, 2.4668171365846d-13,
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-     |   5.8301804365459d-07, 7.1116266856931d-06, 6.3589274004851d-05,
-     |   4.3460995614453d-04, 2.3422162302213d-03, 1.0186150246620d-02,
-     |   3.6354747276473d-02, 1.0771242495205d-01, 2.6662494905013d-01,
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-     |  -5.1652681453559d-01,-9.8224398366797d-01,-3.7148411341081d-01,
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-     |  -6.3589274004851d-05,-7.1116266856931d-06,-5.8301804365460d-07,
-     |  -3.3094821383871d-08,-1.2013333952117d-09,-2.4863390269117d-11,
-     |  -2.4668171365847d-13,-8.8726305327247d-16,-7.0655896665488d-19,
-     |  -4.5809996883507d-23,-1.8208501680710d-29,-2.7554671807097d-43/
-      data (pmn(lat,30,38), lat = 1,72)/
-     |   2.4791721245924d-45, 4.9238536457900d-31, 2.0722601065778d-24,
-     |   4.4997344252584d-20, 7.3199580248808d-17, 2.5112951982733d-14,
-     |   3.0265844968686d-12, 1.7110774501198d-10, 5.4306035822420d-09,
-     |   1.0898091574920d-07, 1.5019222226208d-06, 1.5084558613401d-05,
-     |   1.1535343915482d-04, 6.9407874494987d-04, 3.3685412820641d-03,
-     |   1.3434297803505d-02, 4.4628953215772d-02, 1.2462178755885d-01,
-     |   2.9388414540029d-01, 5.8505357786986d-01, 9.7602330134980d-01,
-     |   1.3385266245440d+00, 1.4422402970454d+00, 1.0736675871613d+00,
-     |   2.4244721136952d-01,-6.8784174223385d-01,-1.1436794454538d+00,
-     |  -7.6682524654761d-01, 1.9664751130009d-01, 9.7264169042932d-01,
-     |   8.7822030463330d-01,-1.8748772974874d-02,-8.8529504029102d-01,
-     |  -8.8333776788238d-01,-8.2261961670347d-03, 8.7106987401792d-01,
-     |   8.7106987401792d-01,-8.2261961670315d-03,-8.8333776788238d-01,
-     |  -8.8529504029102d-01,-1.8748772974877d-02, 8.7822030463331d-01,
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-     |  -1.1436794454538d+00,-6.8784174223386d-01, 2.4244721136951d-01,
-     |   1.0736675871613d+00, 1.4422402970454d+00, 1.3385266245440d+00,
-     |   9.7602330134981d-01, 5.8505357786986d-01, 2.9388414540029d-01,
-     |   1.2462178755885d-01, 4.4628953215772d-02, 1.3434297803505d-02,
-     |   3.3685412820641d-03, 6.9407874494987d-04, 1.1535343915482d-04,
-     |   1.5084558613401d-05, 1.5019222226208d-06, 1.0898091574920d-07,
-     |   5.4306035822421d-09, 1.7110774501198d-10, 3.0265844968686d-12,
-     |   2.5112951982735d-14, 7.3199580248808d-17, 4.4997344252584d-20,
-     |   2.0722601065778d-24, 4.9238536457900d-31, 2.4791721245924d-45/
-      data (pmn(lat,31,38), lat = 1,72)/
-     |   2.0500589845613d-47, 1.2236097267933d-32, 8.6129391442290d-26,
-     |   2.6322085431299d-21, 5.5447750737316d-18, 2.3461173552589d-15,
-     |   3.3787027830588d-13, 2.2331985583236d-11, 8.1574940033710d-10,
-     |   1.8625852074514d-08, 2.8959283758495d-07, 3.2611389606369d-06,
-     |   2.7841984931479d-05, 1.8653182032146d-04, 1.0068320674478d-03,
-     |   4.4674160163096d-03, 1.6544844842805d-02, 5.1712135738543d-02,
-     |   1.3741211404631d-01, 3.1151077900428d-01, 6.0185352586869d-01,
-     |   9.8377123533837d-01, 1.3360675255261d+00, 1.4465381169947d+00,
-     |   1.1155105806925d+00, 3.3515801954328d-01,-5.8732799050774d-01,
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-     |   8.4556869509547d-01, 1.0243057424913d+00, 3.3512784430075d-01,
-     |  -6.3820756133100d-01,-1.0356269723141d+00,-4.9533591560011d-01,
-     |   4.9533591560011d-01, 1.0356269723141d+00, 6.3820756133100d-01,
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-     |  -8.1574940033712d-10,-2.2331985583237d-11,-3.3787027830588d-13,
-     |  -2.3461173552590d-15,-5.5447750737316d-18,-2.6322085431299d-21,
-     |  -8.6129391442290d-26,-1.2236097267933d-32,-2.0500589845613d-47/
-      data (pmn(lat,32,38), lat = 1,72)/
-     |   1.5472538393269d-49, 2.7750999872981d-34, 3.2664827258043d-27,
-     |   1.4046216088781d-22, 3.8300618380661d-19, 1.9977555181514d-16,
-     |   3.4358168484516d-14, 2.6530852029315d-12, 1.1144154064594d-10,
-     |   2.8920068393535d-09, 5.0662441962943d-08, 6.3868726239312d-07,
-     |   6.0762010099560d-06, 4.5222686874777d-05, 2.7070143611920d-04,
-     |   1.3315510227612d-03, 5.4723378492061d-03, 1.9029749247268d-02,
-     |   5.6513599910553d-02, 1.4419921850644d-01, 3.1699723997179d-01,
-     |   5.9967001306595d-01, 9.6966255730089d-01, 1.3189831998747d+00,
-     |   1.4567783800368d+00, 1.1929956181851d+00, 4.9004876446141d-01,
-     |  -4.1721680311755d-01,-1.0716927833516d+00,-1.0611751900162d+00,
-     |  -3.5259964934902d-01, 5.9056960117514d-01, 1.0841079579050d+00,
-     |   7.4179094269407d-01,-1.8138824587848d-01,-9.5481002075809d-01,
-     |  -9.5481002075809d-01,-1.8138824587848d-01, 7.4179094269406d-01,
-     |   1.0841079579050d+00, 5.9056960117514d-01,-3.5259964934902d-01,
-     |  -1.0611751900162d+00,-1.0716927833516d+00,-4.1721680311755d-01,
-     |   4.9004876446140d-01, 1.1929956181851d+00, 1.4567783800368d+00,
-     |   1.3189831998747d+00, 9.6966255730089d-01, 5.9967001306595d-01,
-     |   3.1699723997179d-01, 1.4419921850644d-01, 5.6513599910553d-02,
-     |   1.9029749247268d-02, 5.4723378492061d-03, 1.3315510227612d-03,
-     |   2.7070143611920d-04, 4.5222686874777d-05, 6.0762010099562d-06,
-     |   6.3868726239312d-07, 5.0662441962943d-08, 2.8920068393536d-09,
-     |   1.1144154064595d-10, 2.6530852029316d-12, 3.4358168484516d-14,
-     |   1.9977555181515d-16, 3.8300618380661d-19, 1.4046216088781d-22,
-     |   3.2664827258043d-27, 2.7750999872981d-34, 1.5472538393269d-49/
-      data (pmn(lat,33,38), lat = 1,72)/
-     |   1.0558331932514d-51, 5.6900830167525d-36, 1.1198099710183d-28,
-     |   6.7737260004648d-24, 2.3900794728549d-20, 1.5361481298615d-17,
-     |   3.1533720849627d-15, 2.8428579501966d-13, 1.3720592202141d-11,
-     |   4.0430015561950d-10, 7.9709484908421d-09, 1.1234107159717d-07,
-     |   1.1889974305046d-06, 9.8109779730846d-06, 6.4971338427124d-05,
-     |   3.5322757826450d-04, 1.6048917169118d-03, 6.1794370933352d-03,
-     |   2.0380721491231d-02, 5.8034155723712d-02, 1.4341750663446d-01,
-     |   3.0832978703066d-01, 5.7612006767766d-01, 9.3042461290719d-01,
-     |   1.2818431184611d+00, 1.4648160321972d+00, 1.2985205793177d+00,
-     |   7.0912682244492d-01,-1.5458960824771d-01,-9.2121799452410d-01,
-     |  -1.1744036598343d+00,-7.3430051826258d-01, 1.5798046534215d-01,
-     |   9.3637891905516d-01, 1.0738345892524d+00, 4.6664043516480d-01,
-     |  -4.6664043516480d-01,-1.0738345892524d+00,-9.3637891905516d-01,
-     |  -1.5798046534215d-01, 7.3430051826258d-01, 1.1744036598343d+00,
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-     |  -1.2985205793177d+00,-1.4648160321972d+00,-1.2818431184611d+00,
-     |  -9.3042461290719d-01,-5.7612006767766d-01,-3.0832978703066d-01,
-     |  -1.4341750663446d-01,-5.8034155723713d-02,-2.0380721491231d-02,
-     |  -6.1794370933352d-03,-1.6048917169118d-03,-3.5322757826450d-04,
-     |  -6.4971338427124d-05,-9.8109779730845d-06,-1.1889974305047d-06,
-     |  -1.1234107159717d-07,-7.9709484908421d-09,-4.0430015561951d-10,
-     |  -1.3720592202141d-11,-2.8428579501966d-13,-3.1533720849627d-15,
-     |  -1.5361481298616d-17,-2.3900794728549d-20,-6.7737260004648d-24,
-     |  -1.1198099710183d-28,-5.6900830167525d-36,-1.0558331932514d-51/
-      data (pmn(lat,34,38), lat = 1,72)/
-     |   6.4284552501040d-54, 1.0408899381147d-37, 3.4244533575767d-30,
-     |   2.9132809886283d-25, 1.3297613283961d-21, 1.0527107216819d-18,
-     |   2.5780680781292d-16, 2.7119106364828d-14, 1.5028114620594d-12,
-     |   5.0239279551543d-11, 1.1135940959958d-09, 1.7524914713466d-08,
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-     |   8.2457321175859d-05, 4.1289253668766d-04, 1.7534090909195d-03,
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-     |   3.4244533575767d-30, 1.0408899381147d-37, 6.4284552501040d-54/
-      data (pmn(lat,35,38), lat = 1,72)/
-     |   3.4242495714736d-56, 1.6657498244086d-39, 9.1600739630943d-32,
-     |   1.0957453484029d-26, 6.4682569344396d-23, 6.3049627326277d-20,
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-     |  -6.3049627326281d-20,-6.4682569344396d-23,-1.0957453484029d-26,
-     |  -9.1600739630943d-32,-1.6657498244086d-39,-3.4242495714736d-56/
-      data (pmn(lat,36,38), lat = 1,72)/
-     |   1.5462208083286d-58, 2.2596214104241d-41, 2.0767031743411d-33,
-     |   3.4923971431272d-28, 2.6654916971592d-24, 3.1980926285160d-21,
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-     |   3.9377193969330d-09, 4.3857419969480d-08, 3.8877351837064d-07,
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-     |  -1.2753774649684d+00,-8.3872478280239d-01,-1.1957900705192d-01,
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-     |   4.9124723234210d-03, 1.4635742229453d-03, 3.8259832752985d-04,
-     |   8.6954034899370d-05, 1.6988933152841d-05, 2.8145165572943d-06,
-     |   3.8877351837064d-07, 4.3857419969480d-08, 3.9377193969331d-09,
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-     |   3.1980926285162d-21, 2.6654916971592d-24, 3.4923971431272d-28,
-     |   2.0767031743411d-33, 2.2596214104241d-41, 1.5462208083286d-58/
-      data (pmn(lat,37,38), lat = 1,72)/
-     |   5.5839884172355d-61, 2.4513435809073d-43, 3.7648137108124d-35,
-     |   8.8993184428621d-30, 8.7798136796801d-26, 1.2962468305371d-22,
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-     |   3.9744895004110d-10, 4.8795270789110d-09, 4.7524523903586d-08,
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-     |  -1.2962468305371d-22,-8.7798136796801d-26,-8.8993184428621d-30,
-     |  -3.7648137108124d-35,-2.4513435809073d-43,-5.5839884172355d-61/
-      data (pmn(lat,38,38), lat = 1,72)/
-     |   1.3976357594365d-63, 1.8430060999769d-45, 4.7295677686476d-37,
-     |   1.5711950810255d-31, 2.0032737014532d-27, 3.6384140304861d-24,
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-     |   1.8365296556957d-15, 6.4506639187464d-14, 1.5628247318349d-12,
-     |   2.7665007440346d-11, 3.7399304268209d-10, 3.9971588116475d-09,
-     |   3.4720802910908d-08, 2.5066077124725d-07, 1.5317832293820d-06,
-     |   8.0447662577000d-06, 3.6774327867966d-05, 1.4788813759948d-04,
-     |   5.2797730721806d-04, 1.6863403136490d-03, 4.8505827688568d-03,
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-     |   1.8571840199232d+00, 1.7274689083163d+00, 1.4941722664020d+00,
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-     |   4.7295677686476d-37, 1.8430060999769d-45, 1.3976357594365d-63/
-      data (pmn(lat, 0,39), lat = 1,72)/
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-     |   1.0045209285327d+00, 1.4128463373851d+00,-1.2036188467644d+00,
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-     |   2.2614705839987d+00, 5.6503912065514d-01,-5.1712740742457d+00/
-      data (pmn(lat, 1,39), lat = 1,72)/
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-     |  -1.0984103710964d+00, 2.9859953095976d+00, 2.4642438061772d+00/
-      data (pmn(lat, 2,39), lat = 1,72)/
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-     |  -1.7547316148506d+00,-2.8737747898708d+00,-5.4774772400330d-01/
-      data (pmn(lat, 3,39), lat = 1,72)/
-     |   7.9761694232732d-02, 1.4591173289592d+00, 2.7255980675467d+00,
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-      data (pmn(lat, 4,39), lat = 1,72)/
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-      data (pmn(lat, 5,39), lat = 1,72)/
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-      data (pmn(lat, 6,39), lat = 1,72)/
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-      data (pmn(lat, 7,39), lat = 1,72)/
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-      data (pmn(lat, 8,39), lat = 1,72)/
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-      data (pmn(lat, 9,39), lat = 1,72)/
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-      data (pmn(lat,10,39), lat = 1,72)/
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-      data (pmn(lat,11,39), lat = 1,72)/
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-      data (pmn(lat,14,39), lat = 1,72)/
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-      data (pmn(lat,15,39), lat = 1,72)/
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-      data (pmn(lat,16,39), lat = 1,72)/
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-      data (pmn(lat,17,39), lat = 1,72)/
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-      data (pmn(lat,18,39), lat = 1,72)/
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-      data (pmn(lat,19,39), lat = 1,72)/
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-      data (pmn(lat,20,39), lat = 1,72)/
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-      data (pmn(lat,21,39), lat = 1,72)/
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-     |   3.4295901038982d-13, 8.5026760231928d-18, 8.6391985401098d-28/
-      data (pmn(lat,22,39), lat = 1,72)/
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-     |  -2.8465031307317d-14,-4.2063759009140d-19,-1.4199921853156d-29/
-      data (pmn(lat,23,39), lat = 1,72)/
-     |   2.1872536229591d-31, 1.9496379929796d-20, 2.2123560708195d-15,
-     |   4.3050937764421d-12, 1.1163687590435d-09, 8.5193126959443d-08,
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-     |   2.2123560708195d-15, 1.9496379929796d-20, 2.1872536229591d-31/
-      data (pmn(lat,24,39), lat = 1,72)/
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-      data (pmn(lat,25,39), lat = 1,72)/
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-     |   1.0975148219389d-17, 3.4440526769695d-23, 4.2699371922684d-35/
-      data (pmn(lat,26,39), lat = 1,72)/
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-     |  -6.9986163906123d-19,-1.3112564119849d-24,-5.4057794667354d-37/
-      data (pmn(lat,27,39), lat = 1,72)/
-     |   6.3991086617356d-39, 4.6672784092240d-26, 4.1709773587660d-20,
-     |   3.2164153795654d-16, 2.3774482255456d-13, 4.2737372823355d-11,
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-     |   2.9396813191014d-01, 1.0266747277833d+00, 6.0348721060216d-01,
-     |  -5.0555703874613d-01,-9.7537905177404d-01,-2.1818232364835d-01,
-     |   8.0371007514209d-01, 7.5590318850412d-01,-2.9937613871755d-01,
-     |  -9.3897125330602d-01,-2.9058860450596d-01, 7.5506774087964d-01,
-     |   7.5506774087965d-01,-2.9058860450596d-01,-9.3897125330602d-01,
-     |  -2.9937613871755d-01, 7.5590318850411d-01, 8.0371007514209d-01,
-     |  -2.1818232364835d-01,-9.7537905177404d-01,-5.0555703874613d-01,
-     |   6.0348721060215d-01, 1.0266747277833d+00, 2.9396813191014d-01,
-     |  -7.8490649360334d-01,-1.1274894056153d+00,-4.6163533697536d-01,
-     |   6.1255950977217d-01, 1.3463452740662d+00, 1.4473635989606d+00,
-     |   1.1031354493999d+00, 6.5082191922554d-01, 3.0681807427454d-01,
-     |   1.1679817538206d-01, 3.5861532770248d-02, 8.7960214278435d-03,
-     |   1.6937254413287d-03, 2.4945303137687d-04, 2.7085483549853d-05,
-     |   2.0593710573814d-06, 1.0194490523405d-07, 2.9556549024235d-09,
-     |   4.2737372823357d-11, 2.3774482255456d-13, 3.2164153795654d-16,
-     |   4.1709773587660d-20, 4.6672784092240d-26, 6.3991086617356d-39/
-      data (pmn(lat,28,39), lat = 1,72)/
-     |   7.0707160966022d-41, 1.5504698696826d-27, 2.3193523394842d-21,
-     |   2.5204577276076d-17, 2.4166849393814d-14, 5.3701092934857d-12,
-     |   4.4506628166579d-10, 1.8011499743661d-08, 4.2061202986903d-07,
-     |   6.3283138902859d-06, 6.6191692683328d-05, 5.0808069896110d-04,
-     |   2.9764084539677d-03, 1.3690508590867d-02, 5.0447118953902d-02,
-     |   1.5087114035758d-01, 3.6849868128391d-01, 7.3382853952644d-01,
-     |   1.1756934523993d+00, 1.4619119042605d+00, 1.2776760652466d+00,
-     |   4.9465664077380d-01,-5.5073646540314d-01,-1.1372433237027d+00,
-     |  -7.4383419973933d-01, 3.2113254077865d-01, 1.0284661875814d+00,
-     |   6.2527859667045d-01,-4.6159228995718d-01,-9.8942557933274d-01,
-     |  -3.2614424298108d-01, 7.2532851051315d-01, 8.5592747700496d-01,
-     |  -1.0206691505445d-01,-9.2171559310708d-01,-5.4274777792527d-01,
-     |   5.4274777792526d-01, 9.2171559310708d-01, 1.0206691505445d-01,
-     |  -8.5592747700496d-01,-7.2532851051315d-01, 3.2614424298108d-01,
-     |   9.8942557933274d-01, 4.6159228995719d-01,-6.2527859667045d-01,
-     |  -1.0284661875814d+00,-3.2113254077866d-01, 7.4383419973932d-01,
-     |   1.1372433237027d+00, 5.5073646540314d-01,-4.9465664077380d-01,
-     |  -1.2776760652466d+00,-1.4619119042605d+00,-1.1756934523993d+00,
-     |  -7.3382853952645d-01,-3.6849868128391d-01,-1.5087114035758d-01,
-     |  -5.0447118953901d-02,-1.3690508590866d-02,-2.9764084539677d-03,
-     |  -5.0808069896110d-04,-6.6191692683328d-05,-6.3283138902860d-06,
-     |  -4.2061202986904d-07,-1.8011499743662d-08,-4.4506628166579d-10,
-     |  -5.3701092934859d-12,-2.4166849393814d-14,-2.5204577276076d-17,
-     |  -2.3193523394842d-21,-1.5504698696826d-27,-7.0707160966022d-41/
-      data (pmn(lat,29,39), lat = 1,72)/
-     |   7.2758460293938d-43, 4.7960739470424d-29, 1.2006334809524d-22,
-     |   1.8379572233994d-18, 2.2848011307579d-15, 6.2715943474575d-13,
-     |   6.2234959939126d-11, 2.9518691883027d-09, 7.9579504980759d-08,
-     |   1.3673508406572d-06, 1.6208667498670d-05, 1.4028324933036d-04,
-     |   9.2389065091580d-04, 4.7733995849357d-03, 1.9783358984934d-02,
-     |   6.6808047459241d-02, 1.8562537269201d-01, 4.2591060827777d-01,
-     |   8.0392910712822d-01, 1.2292694323223d+00, 1.4645841358763d+00,
-     |   1.2212493441758d+00, 4.1544987517398d-01,-5.9925750920165d-01,
-     |  -1.1403460152814d+00,-7.4015045111578d-01, 3.0092582891372d-01,
-     |   1.0220204457135d+00, 6.9040011435417d-01,-3.6429702508852d-01,
-     |  -9.9666234422937d-01,-4.8827254191034d-01, 5.8012607719645d-01,
-     |   9.5059762395790d-01, 1.7757169559284d-01,-8.0707108867025d-01,
-     |  -8.0707108867025d-01, 1.7757169559284d-01, 9.5059762395790d-01,
-     |   5.8012607719645d-01,-4.8827254191034d-01,-9.9666234422937d-01,
-     |  -3.6429702508852d-01, 6.9040011435417d-01, 1.0220204457135d+00,
-     |   3.0092582891372d-01,-7.4015045111578d-01,-1.1403460152814d+00,
-     |  -5.9925750920165d-01, 4.1544987517398d-01, 1.2212493441758d+00,
-     |   1.4645841358763d+00, 1.2292694323223d+00, 8.0392910712822d-01,
-     |   4.2591060827778d-01, 1.8562537269201d-01, 6.6808047459242d-02,
-     |   1.9783358984933d-02, 4.7733995849357d-03, 9.2389065091581d-04,
-     |   1.4028324933036d-04, 1.6208667498670d-05, 1.3673508406572d-06,
-     |   7.9579504980761d-08, 2.9518691883027d-09, 6.2234959939126d-11,
-     |   6.2715943474578d-13, 2.2848011307579d-15, 1.8379572233994d-18,
-     |   1.2006334809524d-22, 4.7960739470424d-29, 7.2758460293938d-43/
-      data (pmn(lat,30,39), lat = 1,72)/
-     |   6.9510131200335d-45, 1.3772247661651d-30, 5.7683697445597d-24,
-     |   1.2434854429691d-19, 2.0031807191313d-16, 6.7880910443655d-14,
-     |   8.0589689539836d-12, 4.4756654177659d-10, 1.3912776296588d-08,
-     |   2.7259961630493d-07, 3.6555771200187d-06, 3.5593036786762d-05,
-     |   2.6278830513578d-04, 1.5195862911204d-03, 7.0502792734926d-03,
-     |   2.6714034626652d-02, 8.3687566813934d-02, 2.1832729189131d-01,
-     |   4.7517248345175d-01, 8.5822214793500d-01, 1.2651343836052d+00,
-     |   1.4621620223750d+00, 1.1863517172758d+00, 3.8115454714255d-01,
-     |  -6.0690632437251d-01,-1.1402892366980d+00,-7.7845409469092d-01,
-     |   2.2653259403756d-01, 9.9807160536351d-01, 7.9571695335921d-01,
-     |  -1.9892107240465d-01,-9.6964903130072d-01,-6.9402128311789d-01,
-     |   3.3614153168026d-01, 9.8537123440638d-01, 5.2621464598312d-01,
-     |  -5.2621464598312d-01,-9.8537123440638d-01,-3.3614153168026d-01,
-     |   6.9402128311789d-01, 9.6964903130072d-01, 1.9892107240465d-01,
-     |  -7.9571695335921d-01,-9.9807160536351d-01,-2.2653259403757d-01,
-     |   7.7845409469091d-01, 1.1402892366980d+00, 6.0690632437251d-01,
-     |  -3.8115454714254d-01,-1.1863517172758d+00,-1.4621620223750d+00,
-     |  -1.2651343836052d+00,-8.5822214793500d-01,-4.7517248345175d-01,
-     |  -2.1832729189132d-01,-8.3687566813934d-02,-2.6714034626652d-02,
-     |  -7.0502792734925d-03,-1.5195862911203d-03,-2.6278830513579d-04,
-     |  -3.5593036786762d-05,-3.6555771200187d-06,-2.7259961630494d-07,
-     |  -1.3912776296588d-08,-4.4756654177659d-10,-8.0589689539836d-12,
-     |  -6.7880910443659d-14,-2.0031807191313d-16,-1.2434854429691d-19,
-     |  -5.7683697445597d-24,-1.3772247661651d-30,-6.9510131200335d-45/
-      data (pmn(lat,31,39), lat = 1,72)/
-     |   6.1406251376344d-47, 3.6566220812920d-32, 2.5619095211269d-25,
-     |   7.7746147051793d-21, 1.6223292119778d-17, 6.7830196734353d-15,
-     |   9.6277796606397d-13, 6.2552316820579d-11, 2.2397033677012d-09,
-     |   4.9977171134450d-08, 7.5696863411262d-07, 8.2754778383815d-06,
-     |   6.8330479063540d-05, 4.4089380189931d-04, 2.2811230022225d-03,
-     |   9.6493195006532d-03, 3.3851392075289d-02, 9.9455109662502d-02,
-     |   2.4602711647362d-01, 5.1268020623233d-01, 8.9447656233655d-01,
-     |   1.2847311995107d+00, 1.4601198360483d+00, 1.1800341631040d+00,
-     |   3.9748628707962d-01,-5.6962776638724d-01,-1.1337283135436d+00,
-     |  -8.5899719138599d-01, 8.7357348313974d-02, 9.3566959663777d-01,
-     |   9.2668613639058d-01, 4.9935031898410d-02,-8.6247182228256d-01,
-     |  -9.0683379934528d-01,-3.1448388350131d-02, 8.7207647605560d-01,
-     |   8.7207647605560d-01,-3.1448388350128d-02,-9.0683379934527d-01,
-     |  -8.6247182228256d-01, 4.9935031898407d-02, 9.2668613639058d-01,
-     |   9.3566959663777d-01, 8.7357348313982d-02,-8.5899719138599d-01,
-     |  -1.1337283135436d+00,-5.6962776638724d-01, 3.9748628707962d-01,
-     |   1.1800341631040d+00, 1.4601198360483d+00, 1.2847311995107d+00,
-     |   8.9447656233656d-01, 5.1268020623233d-01, 2.4602711647363d-01,
-     |   9.9455109662502d-02, 3.3851392075289d-02, 9.6493195006533d-03,
-     |   2.2811230022225d-03, 4.4089380189931d-04, 6.8330479063541d-05,
-     |   8.2754778383815d-06, 7.5696863411262d-07, 4.9977171134451d-08,
-     |   2.2397033677013d-09, 6.2552316820580d-11, 9.6277796606397d-13,
-     |   6.7830196734357d-15, 1.6223292119778d-17, 7.7746147051793d-21,
-     |   2.5619095211269d-25, 3.6566220812920d-32, 6.1406251376344d-47/
-      data (pmn(lat,32,39), lat = 1,72)/
-     |   4.9898529242855d-49, 8.9294851001596d-34, 1.0463222048255d-26,
-     |   4.4687433134112d-22, 1.2074193174286d-18, 6.2255950391518d-16,
-     |   1.0557998276085d-13, 8.0186428432898d-12, 3.3039078091084d-10,
-     |   8.3864906826348d-09, 1.4327075609866d-07, 1.7556736020702d-06,
-     |   1.6178780759161d-05, 1.1618581245073d-04, 6.6820095416967d-04,
-     |   3.1426013293316d-03, 1.2279986540693d-02, 4.0337038064566d-02,
-     |   1.1226099922121d-01, 2.6579057294683d-01, 5.3517809349978d-01,
-     |   9.1069075649707d-01, 1.2886176476521d+00, 1.4613906942997d+00,
-     |   1.2064688594165d+00, 4.7013685425385d-01,-4.7790563998448d-01,
-     |  -1.1075833938839d+00,-9.7399002761278d-01,-1.2854254315542d-01,
-     |   7.9940063305358d-01, 1.0470392229359d+00, 3.8558181140221d-01,
-     |  -6.1237503999145d-01,-1.0431199816292d+00,-5.0468780828127d-01,
-     |   5.0468780828126d-01, 1.0431199816292d+00, 6.1237503999146d-01,
-     |  -3.8558181140220d-01,-1.0470392229359d+00,-7.9940063305358d-01,
-     |   1.2854254315541d-01, 9.7399002761278d-01, 1.1075833938839d+00,
-     |   4.7790563998448d-01,-4.7013685425384d-01,-1.2064688594165d+00,
-     |  -1.4613906942997d+00,-1.2886176476521d+00,-9.1069075649707d-01,
-     |  -5.3517809349979d-01,-2.6579057294683d-01,-1.1226099922121d-01,
-     |  -4.0337038064566d-02,-1.2279986540693d-02,-3.1426013293317d-03,
-     |  -6.6820095416967d-04,-1.1618581245073d-04,-1.6178780759161d-05,
-     |  -1.7556736020702d-06,-1.4327075609866d-07,-8.3864906826350d-09,
-     |  -3.3039078091085d-10,-8.0186428432899d-12,-1.0557998276085d-13,
-     |  -6.2255950391522d-16,-1.2074193174286d-18,-4.4687433134112d-22,
-     |  -1.0463222048255d-26,-8.9294851001596d-34,-4.9898529242855d-49/
-      data (pmn(lat,33,39), lat = 1,72)/
-     |   3.7036978544429d-51, 1.9916329925073d-35, 3.9023899941459d-28,
-     |   2.3450062131940d-23, 8.2011862641234d-20, 5.2124354858045d-17,
-     |   1.0555820232427d-14, 9.3650479559879d-13, 4.4365866318070d-11,
-     |   1.2797600114216d-09, 2.4628745989124d-08, 3.3779622352337d-07,
-     |   3.4678166088125d-06, 2.7656496299764d-05, 1.7632452273962d-04,
-     |   9.1887006623351d-04, 3.9820694485762d-03, 1.4541454209887d-02,
-     |   4.5182956616155d-02, 1.2023697614008d-01, 2.7491455107689d-01,
-     |   5.3973726294166d-01, 9.0454755975085d-01, 1.2753409469456d+00,
-     |   1.4649418646860d+00, 1.2656570450960d+00, 6.0408698587864d-01,
-     |  -3.1597112811773d-01,-1.0352796243514d+00,-1.1001119103251d+00,
-     |  -4.2611712646973d-01, 5.4071982999636d-01, 1.0847806727621d+00,
-     |   7.7149952579710d-01,-1.6152195654612d-01,-9.5718589620954d-01,
-     |  -9.5718589620954d-01,-1.6152195654612d-01, 7.7149952579710d-01,
-     |   1.0847806727621d+00, 5.4071982999636d-01,-4.2611712646974d-01,
-     |  -1.1001119103251d+00,-1.0352796243514d+00,-3.1597112811774d-01,
-     |   6.0408698587864d-01, 1.2656570450960d+00, 1.4649418646860d+00,
-     |   1.2753409469456d+00, 9.0454755975085d-01, 5.3973726294166d-01,
-     |   2.7491455107690d-01, 1.2023697614008d-01, 4.5182956616155d-02,
-     |   1.4541454209887d-02, 3.9820694485762d-03, 9.1887006623352d-04,
-     |   1.7632452273962d-04, 2.7656496299763d-05, 3.4678166088125d-06,
-     |   3.3779622352337d-07, 2.4628745989124d-08, 1.2797600114216d-09,
-     |   4.4365866318071d-11, 9.3650479559880d-13, 1.0555820232427d-14,
-     |   5.2124354858048d-17, 8.2011862641234d-20, 2.3450062131940d-23,
-     |   3.9023899941459d-28, 1.9916329925073d-35, 3.7036978544429d-51/
-      data (pmn(lat,34,39), lat = 1,72)/
-     |   2.4873451732853d-53, 4.0189436934298d-37, 1.3165851391291d-29,
-     |   1.1128942339300d-24, 5.0362526805650d-21, 3.9439680946057d-18,
-     |   9.5325986804659d-16, 9.8731130099554d-14, 5.3737061810348d-12,
-     |   1.7598812130601d-10, 3.8111673925041d-09, 5.8428852717085d-08,
-     |   6.6718159901338d-07, 5.8978336681466d-06, 4.1587504173003d-05,
-     |   2.3945432953354d-04, 1.1467578162578d-03, 4.6343147894183d-03,
-     |   1.5981246992778d-02, 4.7418051985970d-02, 1.2173239933319d-01,
-     |   2.7114563409078d-01, 5.2373507475631d-01, 8.7292604387888d-01,
-     |   1.2403540311453d+00, 1.4640143601957d+00, 1.3508913258371d+00,
-     |   8.0060740706439d-01,-6.3471650422763d-02,-8.7332557243949d-01,
-     |  -1.1863436272427d+00,-7.8397042124869d-01, 1.1292355730236d-01,
-     |   9.2335170567582d-01, 1.0855683655147d+00, 4.7551280477394d-01,
-     |  -4.7551280477394d-01,-1.0855683655147d+00,-9.2335170567582d-01,
-     |  -1.1292355730236d-01, 7.8397042124868d-01, 1.1863436272427d+00,
-     |   8.7332557243949d-01, 6.3471650422770d-02,-8.0060740706439d-01,
-     |  -1.3508913258371d+00,-1.4640143601957d+00,-1.2403540311453d+00,
-     |  -8.7292604387888d-01,-5.2373507475631d-01,-2.7114563409078d-01,
-     |  -1.2173239933319d-01,-4.7418051985970d-02,-1.5981246992778d-02,
-     |  -4.6343147894183d-03,-1.1467578162578d-03,-2.3945432953354d-04,
-     |  -4.1587504173002d-05,-5.8978336681466d-06,-6.6718159901339d-07,
-     |  -5.8428852717085d-08,-3.8111673925041d-09,-1.7598812130601d-10,
-     |  -5.3737061810350d-12,-9.8731130099555d-14,-9.5325986804659d-16,
-     |  -3.9439680946060d-18,-5.0362526805650d-21,-1.1128942339300d-24,
-     |  -1.3165851391291d-29,-4.0189436934298d-37,-2.4873451732853d-53/
-      data (pmn(lat,35,39), lat = 1,72)/
-     |   1.4914458118207d-55, 7.2402775467176d-39, 3.9650334675866d-31,
-     |   4.7135739937880d-26, 2.7592934206559d-22, 2.6614729961632d-19,
-     |   7.6740202045533d-17, 9.2734671733919d-15, 5.7948710369908d-13,
-     |   2.1529096670516d-11, 5.2412645504455d-10, 8.9713193512874d-09,
-     |   1.1378509015878d-07, 1.1130622037977d-06, 8.6631314315126d-06,
-     |   5.4978894298314d-05, 2.9009425386382d-04, 1.2925429269551d-03,
-     |   4.9233976868623d-03, 1.6187540955722d-02, 4.6274309113997d-02,
-     |   1.1558728568939d-01, 2.5295705408082d-01, 4.8499157297908d-01,
-     |   8.1172185919011d-01, 1.1752224615971d+00, 1.4440591232568d+00,
-     |   1.4444136314804d+00, 1.0502357639432d+00, 2.9706480476975d-01,
-     |  -5.6261871457241d-01,-1.1395896048398d+00,-1.1188181554911d+00,
-     |  -4.8191882753113d-01, 4.2727163422125d-01, 1.0781155212942d+00,
-     |   1.0781155212942d+00, 4.2727163422126d-01,-4.8191882753112d-01,
-     |  -1.1188181554911d+00,-1.1395896048398d+00,-5.6261871457241d-01,
-     |   2.9706480476974d-01, 1.0502357639432d+00, 1.4444136314804d+00,
-     |   1.4440591232568d+00, 1.1752224615971d+00, 8.1172185919011d-01,
-     |   4.8499157297908d-01, 2.5295705408082d-01, 1.1558728568939d-01,
-     |   4.6274309113997d-02, 1.6187540955722d-02, 4.9233976868624d-03,
-     |   1.2925429269551d-03, 2.9009425386383d-04, 5.4978894298314d-05,
-     |   8.6631314315125d-06, 1.1130622037977d-06, 1.1378509015878d-07,
-     |   8.9713193512874d-09, 5.2412645504455d-10, 2.1529096670516d-11,
-     |   5.7948710369910d-13, 9.2734671733921d-15, 7.6740202045533d-17,
-     |   2.6614729961633d-19, 2.7592934206559d-22, 4.7135739937880d-26,
-     |   3.9650334675866d-31, 7.2402775467176d-39, 1.4914458118207d-55/
-      data (pmn(lat,36,39), lat = 1,72)/
-     |   7.8289000708896d-58, 1.1418066905994d-40, 1.0451600082702d-32,
-     |   1.7470261076165d-27, 1.3225879107896d-23, 1.5707152627035d-20,
-     |   5.4005189608935d-18, 7.6103590758925d-16, 5.4565421733582d-14,
-     |   2.2979974937220d-12, 6.2836686114097d-11, 1.1995888023024d-09,
-     |   1.6878689135443d-08, 1.8244129076058d-07, 1.5646087162019d-06,
-     |   1.0921376295766d-05, 6.3330122297545d-05, 3.1013709788079d-04,
-     |   1.2998194206532d-03, 4.7124499506520d-03, 1.4905146610110d-02,
-     |   4.1399299214455d-02, 1.0145139346731d-01, 2.1996699212622d-01,
-     |   4.2228115417991d-01, 7.1637691925800d-01, 1.0677037846447d+00,
-     |   1.3809716682479d+00, 1.5112946837473d+00, 1.3198115962189d+00,
-     |   7.6110588617866d-01,-4.5467516347981d-02,-8.2135632710597d-01,
-     |  -1.2387357961399d+00,-1.0924035242108d+00,-4.3300992604117d-01,
-     |   4.3300992604117d-01, 1.0924035242108d+00, 1.2387357961399d+00,
-     |   8.2135632710597d-01, 4.5467516347983d-02,-7.6110588617867d-01,
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-     |  -2.1996699212622d-01,-1.0145139346731d-01,-4.1399299214455d-02,
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-     |  -1.1995888023024d-09,-6.2836686114097d-11,-2.2979974937221d-12,
-     |  -5.4565421733584d-14,-7.6103590758927d-16,-5.4005189608935d-18,
-     |  -1.5707152627036d-20,-1.3225879107896d-23,-1.7470261076165d-27,
-     |  -1.0451600082702d-32,-1.1418066905994d-40,-7.8289000708896d-58/
-      data (pmn(lat,37,39), lat = 1,72)/
-     |   3.4857674229453d-60, 1.5272451813792d-42, 2.3363931635824d-34,
-     |   5.4903136988650d-29, 5.3739431123073d-25, 7.8555679542798d-22,
-     |   3.2194581375188d-19, 5.2880638279213d-17, 4.3478359958096d-15,
-     |   2.0742580716128d-13, 6.3655375063996d-12, 1.3540892433028d-10,
-     |   2.1113167219843d-09, 2.5184034488979d-08, 2.3761243449011d-07,
-     |   1.8209552889696d-06, 1.1579058924711d-05, 6.2159469374170d-05,
-     |   2.8572224228588d-04, 1.1376752669466d-03, 3.9614038728027d-03,
-     |   1.2155596019560d-02, 3.3071346611389d-02, 8.0147808231397d-02,
-     |   1.7357360373280d-01, 3.3646869888877d-01, 5.8371000224112d-01,
-     |   9.0387537273772d-01, 1.2415168265776d+00, 1.4935669638060d+00,
-     |   1.5334259858535d+00, 1.2640740285444d+00, 6.8056744999872d-01,
-     |  -9.4088333372108d-02,-8.3152520773872d-01,-1.2817358508484d+00,
-     |  -1.2817358508484d+00,-8.3152520773873d-01,-9.4088333372110d-02,
-     |   6.8056744999872d-01, 1.2640740285444d+00, 1.5334259858535d+00,
-     |   1.4935669638060d+00, 1.2415168265776d+00, 9.0387537273773d-01,
-     |   5.8371000224112d-01, 3.3646869888878d-01, 1.7357360373280d-01,
-     |   8.0147808231398d-02, 3.3071346611389d-02, 1.2155596019560d-02,
-     |   3.9614038728028d-03, 1.1376752669466d-03, 2.8572224228588d-04,
-     |   6.2159469374170d-05, 1.1579058924711d-05, 1.8209552889696d-06,
-     |   2.3761243449011d-07, 2.5184034488979d-08, 2.1113167219844d-09,
-     |   1.3540892433028d-10, 6.3655375063996d-12, 2.0742580716129d-13,
-     |   4.3478359958097d-15, 5.2880638279214d-17, 3.2194581375188d-19,
-     |   7.8555679542803d-22, 5.3739431123073d-25, 5.4903136988650d-29,
-     |   2.3363931635824d-34, 1.5272451813792d-42, 3.4857674229453d-60/
-      data (pmn(lat,38,39), lat = 1,72)/
-     |   1.2419502145775d-62, 1.6345923557897d-44, 4.1787462238342d-36,
-     |   1.3802554824772d-30, 1.7463358706347d-26, 3.1412164438895d-23,
-     |   1.5339607777812d-20, 2.9355108097372d-18, 2.7662991574208d-16,
-     |   1.4941025267608d-14, 5.1421978929382d-13, 1.2178339627983d-11,
-     |   2.1021595951339d-10, 2.7639071573588d-09, 2.8650980544722d-08,
-     |   2.4067644322240d-07, 1.6750401976766d-06, 9.8348315867792d-06,
-     |   4.9445566816045d-05, 2.1551204277376d-04, 8.2275044025368d-04,
-     |   2.7748771950894d-03, 8.3271758609544d-03, 2.2365831371095d-02,
-     |   5.4022303175761d-02, 1.1778051252749d-01, 2.3240570480058d-01,
-     |   4.1569427859812d-01, 6.7418175863960d-01, 9.9004030886371d-01,
-     |   1.3114242986472d+00, 1.5546824075394d+00, 1.6240282365103d+00,
-     |   1.4458058343688d+00, 1.0042048462051d+00, 3.6009858295785d-01,
-     |  -3.6009858295784d-01,-1.0042048462051d+00,-1.4458058343688d+00,
-     |  -1.6240282365103d+00,-1.5546824075394d+00,-1.3114242986472d+00,
-     |  -9.9004030886371d-01,-6.7418175863961d-01,-4.1569427859812d-01,
-     |  -2.3240570480058d-01,-1.1778051252749d-01,-5.4022303175761d-02,
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-     |  -8.2275044025370d-04,-2.1551204277376d-04,-4.9445566816046d-05,
-     |  -9.8348315867792d-06,-1.6750401976766d-06,-2.4067644322241d-07,
-     |  -2.8650980544722d-08,-2.7639071573588d-09,-2.1021595951340d-10,
-     |  -1.2178339627983d-11,-5.1421978929382d-13,-1.4941025267608d-14,
-     |  -2.7662991574209d-16,-2.9355108097372d-18,-1.5339607777812d-20,
-     |  -3.1412164438897d-23,-1.7463358706347d-26,-1.3802554824772d-30,
-     |  -4.1787462238342d-36,-1.6345923557897d-44,-1.2419502145775d-62/
-      data (pmn(lat,39,39), lat = 1,72)/
-     |   3.0684084969108d-65, 1.2130858716776d-46, 5.1818334864428d-38,
-     |   2.4054278732426d-32, 3.9331658490930d-28, 8.7032561829859d-25,
-     |   5.0625101854319d-22, 1.1282819602871d-19, 1.2180525769954d-17,
-     |   7.4438252570145d-16, 2.8712862689914d-14, 7.5650439487151d-13,
-     |   1.4443572194322d-11, 2.0910707928931d-10, 2.3786613357176d-09,
-     |   2.1871433161302d-08, 1.6632819322925d-07, 1.0660165290917d-06,
-     |   5.8483821885061d-06, 2.7825072497565d-05, 1.1607264034343d-04,
-     |   4.2850514568035d-04, 1.4111001836279d-03, 4.1733183158235d-03,
-     |   1.1149493001073d-02, 2.7042767176794d-02, 5.9804850946754d-02,
-     |   1.2103544018444d-01, 2.2487875824651d-01, 3.8459764399639d-01,
-     |   6.0682675205564d-01, 8.8497824878111d-01, 1.1947199477353d+00,
-     |   1.4947821883283d+00, 1.7347848833376d+00, 1.8686063476571d+00,
-     |   1.8686063476571d+00, 1.7347848833376d+00, 1.4947821883283d+00,
-     |   1.1947199477353d+00, 8.8497824878111d-01, 6.0682675205564d-01,
-     |   3.8459764399639d-01, 2.2487875824651d-01, 1.2103544018445d-01,
-     |   5.9804850946754d-02, 2.7042767176794d-02, 1.1149493001073d-02,
-     |   4.1733183158235d-03, 1.4111001836279d-03, 4.2850514568035d-04,
-     |   1.1607264034343d-04, 2.7825072497565d-05, 5.8483821885062d-06,
-     |   1.0660165290917d-06, 1.6632819322925d-07, 2.1871433161302d-08,
-     |   2.3786613357175d-09, 2.0910707928931d-10, 1.4443572194322d-11,
-     |   7.5650439487151d-13, 2.8712862689914d-14, 7.4438252570147d-16,
-     |   1.2180525769955d-17, 1.1282819602872d-19, 5.0625101854319d-22,
-     |   8.7032561829866d-25, 3.9331658490930d-28, 2.4054278732426d-32,
-     |   5.1818334864428d-38, 1.2130858716776d-46, 3.0684084969108d-65/
-      data (pmn(lat, 0,40), lat = 1,72)/
-     |   5.1813293118676d+00,-7.6618433394810d-01,-2.1567457938417d+00,
-     |   1.2642158704471d+00, 1.1662067446254d+00,-1.4325964923570d+00,
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-     |  -8.5261952718318d-01,-5.0889964764115d-01, 9.9154398985233d-01,
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-     |   7.8258350169464d-01, 2.5571561969974d-01,-8.5857773493982d-01,
-     |   8.2084244795349d-02, 8.0656400234413d-01,-3.9211878424036d-01,
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-     |  -7.7450048701502d-01,-7.9457624193464d-02, 7.9871010885192d-01,
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-     |   5.0617202699153d-01,-7.0447505904121d-01,-2.3203733805128d-01,
-     |   7.9871010885192d-01,-7.9457624193459d-02,-7.7450048701502d-01,
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-     |  -2.1567457938417d+00,-7.6618433394810d-01, 5.1813293118676d+00/
-      data (pmn(lat, 1,40), lat = 1,72)/
-     |   2.5458704091530d+00, 2.9056144064308d+00,-1.3245505392233d+00,
-     |  -1.5086071421045d+00, 1.4521523957610d+00, 7.1801416012927d-01,
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-     |   6.8992129351025d-01,-9.5130984000783d-01,-2.8874165973147d-01,
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-     |   4.4995241808640d-01, 7.0669738182463d-01,-7.0278031742453d-01,
-     |  -4.1357649963731d-01, 8.3903343458807d-01, 7.9770025566703d-02,
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-     |   2.3327826508638d-01,-8.0202225516375d-01, 7.9812772636501d-02,
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-     |   6.1681476895717d-01, 3.7699410481194d-01,-7.6565980405174d-01,
-     |  -7.9812772636504d-02, 8.0202225516375d-01,-2.3327826508639d-01,
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-     |  -7.3399735820103d-01,-2.4828066309022d-01, 8.4772173793353d-01,
-     |  -7.9770025566697d-02,-8.3903343458807d-01, 4.1357649963731d-01,
-     |   7.0278031742455d-01,-7.0669738182463d-01,-4.4995241808641d-01,
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-     |   2.8874165973148d-01, 9.5130984000783d-01,-6.8992129351024d-01,
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-     |   1.3245505392233d+00,-2.9056144064308d+00,-2.5458704091530d+00/
-      data (pmn(lat, 2,40), lat = 1,72)/
-     |   5.8122182416525d-01, 2.9573455732743d+00, 1.5603984635593d+00,
-     |  -1.7493483053218d+00,-8.0615427901599d-01, 1.5784731128032d+00,
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-     |   1.1622508323403d+00,-6.6417041729344d-01,-8.2668981153333d-01,
-     |   9.0932437272285d-01, 4.3885402437950d-01,-1.0116091091020d+00,
-     |  -4.0878699515462d-02, 9.7271770532074d-01,-3.2297876977906d-01,
-     |  -8.0838976535569d-01, 6.1277807414343d-01, 5.4733927497960d-01,
-     |  -7.9804655764308d-01,-2.2816753207545d-01, 8.6149378042937d-01,
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-     |   6.2974427991079d-01,-6.4232845805837d-01,-3.7437020927471d-01,
-     |   7.7779401628911d-01, 7.1622578735745d-02,-7.9859052151256d-01,
-     |   2.3632270478912d-01, 7.0368395033774d-01,-5.0714604669444d-01,
-     |  -5.0714604669444d-01, 7.0368395033774d-01, 2.3632270478912d-01,
-     |  -7.9859052151256d-01, 7.1622578735740d-02, 7.7779401628911d-01,
-     |  -3.7437020927471d-01,-6.4232845805837d-01, 6.2974427991079d-01,
-     |   4.0831801645411d-01,-8.0100576429587d-01,-1.0511682999063d-01,
-     |   8.6149378042937d-01,-2.2816753207545d-01,-7.9804655764308d-01,
-     |   5.4733927497959d-01, 6.1277807414343d-01,-8.0838976535569d-01,
-     |  -3.2297876977907d-01, 9.7271770532073d-01,-4.0878699515455d-02,
-     |  -1.0116091091019d+00, 4.3885402437950d-01, 9.0932437272286d-01,
-     |  -8.2668981153333d-01,-6.6417041729344d-01, 1.1622508323403d+00,
-     |   2.8680625621562d-01,-1.4141125650570d+00, 2.0580347185477d-01,
-     |   1.5784731128032d+00,-8.0615427901599d-01,-1.7493483053218d+00,
-     |   1.5603984635593d+00, 2.9573455732743d+00, 5.8122182416525d-01/
-      data (pmn(lat, 3,40), lat = 1,72)/
-     |   8.6858669989498d-02, 1.5556791202299d+00, 2.7360591347657d+00,
-     |   3.8576962808826d-01,-1.8549711775819d+00,-8.0570267252267d-02,
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-     |  -5.4248045893473d-01, 1.0174657559455d+00, 1.5257171965121d-01,
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-     |  -5.2707994858482d-01,-6.5438468614399d-01, 7.4710917671304d-01,
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-      data (pmn(lat, 4,40), lat = 1,72)/
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-      data (pmn(lat, 5,40), lat = 1,72)/
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-      data (pmn(lat, 6,40), lat = 1,72)/
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-     |   4.8677551912845d-01, 3.6398628105546d-02, 6.2534130111186d-05/
-      data (pmn(lat, 7,40), lat = 1,72)/
-     |   3.9093291207527d-06, 7.0308022360650d-03, 1.6747881187406d-01,
-     |   9.2155613549233d-01, 2.0129374405596d+00, 1.7007208469286d+00,
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-      data (pmn(lat, 8,40), lat = 1,72)/
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-     |   4.9007805586971d-02, 1.1742738661470d-03, 2.1273830165734d-07/
-      data (pmn(lat, 9,40), lat = 1,72)/
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-      data (pmn(lat,10,40), lat = 1,72)/
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-     |  -5.3113953488134d-01, 6.8189294821483d-01, 3.4003304347933d-01,
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-     |   2.8123030007541d-03, 2.2605679132625d-05, 4.4025866331675d-10/
-      data (pmn(lat,11,40), lat = 1,72)/
-     |   1.7103258894382d-11, 2.6673971558442d-06, 5.6763893935781d-04,
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-     |   8.0909755982423d-01, 1.4281052819473d-01,-8.3047595058062d-01,
-     |   6.3751944155447d-02, 8.0481216744882d-01,-2.6672869342740d-01,
-     |  -7.3077681549624d-01, 4.5328401626870d-01, 6.1131204585217d-01,
-     |  -6.1131204585217d-01,-4.5328401626871d-01, 7.3077681549624d-01,
-     |   2.6672869342740d-01,-8.0481216744882d-01,-6.3751944155443d-02,
-     |   8.3047595058062d-01,-1.4281052819472d-01,-8.0909755982424d-01,
-     |   3.4084154563325d-01, 7.4621892274892d-01,-5.2036104556590d-01,
-     |  -6.5120792617583d-01, 6.7478966420057d-01, 5.3673159195094d-01,
-     |  -8.0195417470287d-01,-4.1845265070775d-01, 9.0472306054071d-01,
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-     |   1.0714784778836d+00, 2.7654188948945d-01,-1.1497694954521d+00,
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-     |  -6.1251827580241d-01,-1.4070921045423d-01,-1.5429396520024d-02,
-     |  -5.6763893935781d-04,-2.6673971558442d-06,-1.7103258894382d-11/
-      data (pmn(lat,12,40), lat = 1,72)/
-     |   6.0452893267187d-13, 2.8582850855447d-07, 1.0361803188795d-04,
-     |   4.0846551511005d-03, 5.0480359844442d-02, 2.9031676026574d-01,
-     |   9.2169615395832d-01, 1.6971823031008d+00, 1.6309538152422d+00,
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-     |  -8.7473648876785d-01, 6.0166752539631d-01, 8.1233376420001d-01,
-     |  -6.0990458552208d-01,-7.2328912187621d-01, 6.5814457895101d-01,
-     |   6.1132150721653d-01,-7.2130416080853d-01,-4.7678882146631d-01,
-     |   7.8115809189737d-01, 3.2140315465441d-01,-8.2387580617549d-01,
-     |  -1.4948889140632d-01, 8.3918389718806d-01,-3.2064777116454d-02,
-     |  -8.2025102180241d-01, 2.1444309205542d-01, 7.6377904633787d-01,
-     |  -3.8784545492685d-01,-6.7001749788484d-01, 5.4255672428918d-01,
-     |   5.4255672428919d-01,-6.7001749788484d-01,-3.8784545492686d-01,
-     |   7.6377904633786d-01, 2.1444309205543d-01,-8.2025102180241d-01,
-     |  -3.2064777116459d-02, 8.3918389718806d-01,-1.4948889140632d-01,
-     |  -8.2387580617549d-01, 3.2140315465441d-01, 7.8115809189737d-01,
-     |  -4.7678882146630d-01,-7.2130416080853d-01, 6.1132150721653d-01,
-     |   6.5814457895102d-01,-7.2328912187620d-01,-6.0990458552209d-01,
-     |   8.1233376420001d-01, 6.0166752539632d-01,-8.7473648876785d-01,
-     |  -6.7072625540808d-01, 8.8813394579402d-01, 8.7386930974479d-01,
-     |  -7.6131061905348d-01,-1.2696750891098d+00, 1.7309208472404d-01,
-     |   1.6309538152422d+00, 1.6971823031008d+00, 9.2169615395832d-01,
-     |   2.9031676026575d-01, 5.0480359844442d-02, 4.0846551511005d-03,
-     |   1.0361803188795d-04, 2.8582850855447d-07, 6.0452893267187d-13/
-      data (pmn(lat,13,40), lat = 1,72)/
-     |   1.9562827961746d-14, 2.8000073820957d-08, 1.7236548979874d-05,
-     |   9.8001790355393d-04, 1.6265943901989d-02, 1.2170305765814d-01,
-     |   5.0041616293524d-01, 1.2300101869848d+00, 1.7892966095377d+00,
-     |   1.2198849166805d+00,-4.1975028499925d-01,-1.3303662382965d+00,
-     |  -2.6183928430743d-01, 1.1068641308364d+00, 5.1020729652488d-01,
-     |  -9.3547574780708d-01,-5.7151715745015d-01, 8.4687826525478d-01,
-     |   5.4826163195915d-01,-8.1700207053356d-01,-4.7932912904117d-01,
-     |   8.2031154011553d-01, 3.7995888247023d-01,-8.3670318464136d-01,
-     |  -2.5755646462118d-01, 8.5097481924478d-01, 1.1773713392812d-01,
-     |  -8.5183129825224d-01, 3.3512466458643d-02, 8.3134179496456d-01,
-     |  -1.8931210317936d-01,-7.8471929508283d-01, 3.4211584236022d-01,
-     |   7.1019944195264d-01,-4.8429428946368d-01,-6.0885987141907d-01,
-     |   6.0885987141907d-01, 4.8429428946368d-01,-7.1019944195264d-01,
-     |  -3.4211584236022d-01, 7.8471929508283d-01, 1.8931210317936d-01,
-     |  -8.3134179496456d-01,-3.3512466458654d-02, 8.5183129825224d-01,
-     |  -1.1773713392812d-01,-8.5097481924478d-01, 2.5755646462117d-01,
-     |   8.3670318464137d-01,-3.7995888247023d-01,-8.2031154011553d-01,
-     |   4.7932912904115d-01, 8.1700207053357d-01,-5.4826163195914d-01,
-     |  -8.4687826525478d-01, 5.7151715745014d-01, 9.3547574780709d-01,
-     |  -5.1020729652489d-01,-1.1068641308364d+00, 2.6183928430742d-01,
-     |   1.3303662382965d+00, 4.1975028499925d-01,-1.2198849166805d+00,
-     |  -1.7892966095377d+00,-1.2300101869848d+00,-5.0041616293524d-01,
-     |  -1.2170305765814d-01,-1.6265943901989d-02,-9.8001790355393d-04,
-     |  -1.7236548979874d-05,-2.8000073820957d-08,-1.9562827961746d-14/
-      data (pmn(lat,14,40), lat = 1,72)/
-     |   5.8258735504684d-16, 2.5212585520709d-09, 2.6289299875046d-06,
-     |   2.1467797413231d-04, 4.7531764853684d-03, 4.5766872548534d-02,
-     |   2.3915552427942d-01, 7.5505235778297d-01, 1.4875852003836d+00,
-     |   1.7131470263186d+00, 7.0136965384491d-01,-8.8311396900090d-01,
-     |  -1.1754410356975d+00, 2.3194894631925d-01, 1.1504865360752d+00,
-     |   8.8838410102327d-02,-1.0507559841496d+00,-2.1716379571875d-01,
-     |   9.7269578901901d-01, 2.4183794363912d-01,-9.2593745950676d-01,
-     |  -2.0719165300590d-01, 9.0057877183655d-01, 1.3530304089290d-01,
-     |  -8.8430625004451d-01,-3.8506182843926d-02, 8.6646462148093d-01,
-     |  -7.4744255057005d-02,-8.3888718405835d-01, 1.9734531538940d-01,
-     |   7.9598924218662d-01,-3.2263137544528d-01,-7.3470420301914d-01,
-     |   4.4424975549598d-01, 6.5435128329157d-01,-5.5641920157848d-01,
-     |  -5.5641920157848d-01, 6.5435128329157d-01, 4.4424975549598d-01,
-     |  -7.3470420301914d-01,-3.2263137544529d-01, 7.9598924218663d-01,
-     |   1.9734531538940d-01,-8.3888718405835d-01,-7.4744255057009d-02,
-     |   8.6646462148093d-01,-3.8506182843921d-02,-8.8430625004451d-01,
-     |   1.3530304089289d-01, 9.0057877183655d-01,-2.0719165300590d-01,
-     |  -9.2593745950677d-01, 2.4183794363912d-01, 9.7269578901901d-01,
-     |  -2.1716379571875d-01,-1.0507559841496d+00, 8.8838410102321d-02,
-     |   1.1504865360752d+00, 2.3194894631924d-01,-1.1754410356975d+00,
-     |  -8.8311396900090d-01, 7.0136965384491d-01, 1.7131470263186d+00,
-     |   1.4875852003836d+00, 7.5505235778297d-01, 2.3915552427942d-01,
-     |   4.5766872548535d-02, 4.7531764853684d-03, 2.1467797413231d-04,
-     |   2.6289299875046d-06, 2.5212585520709d-09, 5.8258735504684d-16/
-      data (pmn(lat,15,40), lat = 1,72)/
-     |   1.6034888375372d-17, 2.0962247784905d-10, 3.6948279998419d-07,
-     |   4.3189111155613d-05, 1.2690165495581d-03, 1.5598550024063d-02,
-     |   1.0224364703228d-01, 4.0497662686183d-01, 1.0256908363921d+00,
-     |   1.6510769493649d+00, 1.4769212854620d+00, 1.5143789420432d-01,
-     |  -1.1698919430039d+00,-8.6061447145786d-01, 6.4662122932502d-01,
-     |   1.0265494537117d+00,-3.1007876916878d-01,-1.0230997299200d+00,
-     |   1.3586042151337d-01, 9.8199906200143d-01,-6.6254148686388d-02,
-     |  -9.4079072255639d-01, 6.1897334295123d-02, 9.0564800585151d-01,
-     |  -9.9156604423216d-02,-8.7332598274284d-01, 1.6341125856594d-01,
-     |   8.3860850693137d-01,-2.4468956652356d-01,-7.9685055030460d-01,
-     |   3.3537749520274d-01, 7.4484659153834d-01,-4.2917930071032d-01,
-     |  -6.8109390473093d-01, 5.2076898072148d-01, 6.0580207392872d-01,
-     |  -6.0580207392871d-01,-5.2076898072148d-01, 6.8109390473093d-01,
-     |   4.2917930071032d-01,-7.4484659153834d-01,-3.3537749520274d-01,
-     |   7.9685055030461d-01, 2.4468956652358d-01,-8.3860850693137d-01,
-     |  -1.6341125856594d-01, 8.7332598274284d-01, 9.9156604423224d-02,
-     |  -9.0564800585151d-01,-6.1897334295123d-02, 9.4079072255639d-01,
-     |   6.6254148686408d-02,-9.8199906200143d-01,-1.3586042151338d-01,
-     |   1.0230997299201d+00, 3.1007876916879d-01,-1.0265494537117d+00,
-     |  -6.4662122932501d-01, 8.6061447145787d-01, 1.1698919430039d+00,
-     |  -1.5143789420432d-01,-1.4769212854620d+00,-1.6510769493649d+00,
-     |  -1.0256908363921d+00,-4.0497662686183d-01,-1.0224364703228d-01,
-     |  -1.5598550024063d-02,-1.2690165495581d-03,-4.3189111155613d-05,
-     |  -3.6948279998419d-07,-2.0962247784905d-10,-1.6034888375372d-17/
-      data (pmn(lat,16,40), lat = 1,72)/
-     |   4.0935158203690d-19, 1.6152681205447d-11, 4.8048693214908d-08,
-     |   8.0179461102670d-06, 3.1136794688272d-04, 4.8558826673805d-03,
-     |   3.9547025301785d-02, 1.9344683845915d-01, 6.1131323945020d-01,
-     |   1.2771745387319d+00, 1.6924176627876d+00, 1.1138459868311d+00,
-     |  -3.5780839598372d-01,-1.2671188426797d+00,-4.5567074206102d-01,
-     |   9.3573956531231d-01, 7.7846206903061d-01,-6.3742326493591d-01,
-     |  -8.7878385355645d-01, 4.4607284790491d-01, 8.9317112326171d-01,
-     |  -3.4368368443328d-01,-8.7701613185580d-01, 3.0388379385771d-01,
-     |   8.5011436513140d-01,-3.0639301791767d-01,-8.1804856916193d-01,
-     |   3.3701615501923d-01, 7.8123072945065d-01,-3.8567141534931d-01,
-     |  -7.3867302861310d-01, 4.4486145205512d-01, 6.8957087163317d-01,
-     |  -5.0879092758879d-01,-6.3395774279853d-01, 5.7294773328951d-01,
-     |   5.7294773328952d-01,-6.3395774279853d-01,-5.0879092758879d-01,
-     |   6.8957087163317d-01, 4.4486145205512d-01,-7.3867302861310d-01,
-     |  -3.8567141534931d-01, 7.8123072945064d-01, 3.3701615501923d-01,
-     |  -8.1804856916193d-01,-3.0639301791767d-01, 8.5011436513140d-01,
-     |   3.0388379385772d-01,-8.7701613185580d-01,-3.4368368443328d-01,
-     |   8.9317112326170d-01, 4.4607284790491d-01,-8.7878385355644d-01,
-     |  -6.3742326493591d-01, 7.7846206903060d-01, 9.3573956531232d-01,
-     |  -4.5567074206103d-01,-1.2671188426797d+00,-3.5780839598374d-01,
-     |   1.1138459868311d+00, 1.6924176627876d+00, 1.2771745387320d+00,
-     |   6.1131323945021d-01, 1.9344683845915d-01, 3.9547025301785d-02,
-     |   4.8558826673807d-03, 3.1136794688272d-04, 8.0179461102670d-06,
-     |   4.8048693214908d-08, 1.6152681205447d-11, 4.0935158203690d-19/
-      data (pmn(lat,17,40), lat = 1,72)/
-     |   9.7217044421536d-21, 1.1571367254117d-12, 5.8011210179029d-09,
-     |   1.3789163512110d-06, 7.0539945431983d-05, 1.3890221802725d-03,
-     |   1.3954917623899d-02, 8.3360030377682d-02, 3.2243733805700d-01,
-     |   8.4099789789162d-01, 1.4751047540483d+00, 1.6033547095414d+00,
-     |   6.7334188058941d-01,-7.7008754401472d-01,-1.1918126160425d+00,
-     |  -2.9765704455470d-02, 1.0816760191271d+00, 4.5890638508856d-01,
-     |  -8.6527587540924d-01,-6.5496325633958d-01, 6.8722571379039d-01,
-     |   7.3370552981987d-01,-5.6961608981421d-01,-7.5663874089975d-01,
-     |   5.0382023802678d-01, 7.5275562930435d-01,-4.7673331007219d-01,
-     |  -7.3497085728204d-01, 4.7697403128505d-01, 7.0885901303304d-01,
-     |  -4.9566066617800d-01,-6.7694937625522d-01, 5.2599599533795d-01,
-     |   6.4080454303293d-01,-5.6277444941500d-01,-6.0203023323918d-01,
-     |   6.0203023323918d-01, 5.6277444941501d-01,-6.4080454303293d-01,
-     |  -5.2599599533795d-01, 6.7694937625522d-01, 4.9566066617800d-01,
-     |  -7.0885901303304d-01,-4.7697403128506d-01, 7.3497085728204d-01,
-     |   4.7673331007219d-01,-7.5275562930435d-01,-5.0382023802679d-01,
-     |   7.5663874089975d-01, 5.6961608981421d-01,-7.3370552981987d-01,
-     |  -6.8722571379040d-01, 6.5496325633958d-01, 8.6527587540924d-01,
-     |  -4.5890638508856d-01,-1.0816760191271d+00, 2.9765704455464d-02,
-     |   1.1918126160425d+00, 7.7008754401472d-01,-6.7334188058940d-01,
-     |  -1.6033547095414d+00,-1.4751047540483d+00,-8.4099789789162d-01,
-     |  -3.2243733805700d-01,-8.3360030377682d-02,-1.3954917623899d-02,
-     |  -1.3890221802725d-03,-7.0539945431983d-05,-1.3789163512110d-06,
-     |  -5.8011210179029d-09,-1.1571367254117d-12,-9.7217044421536d-21/
-      data (pmn(lat,18,40), lat = 1,72)/
-     |   2.1531309045343d-22, 7.7262668230263d-14, 6.5206898589373d-10,
-     |   2.2037913099295d-07, 1.4810961239528d-05, 3.6682183427027d-04,
-     |   4.5208070315951d-03, 3.2704183470225d-02, 1.5279405769825d-01,
-     |   4.8588509851048d-01, 1.0706609685852d+00, 1.5926190968812d+00,
-     |   1.3952920913105d+00, 2.1029144482719d-01,-1.0516621165553d+00,
-     |  -9.8211365898487d-01, 3.5986068064028d-01, 1.0917478718856d+00,
-     |   1.1883144877223d-01,-9.8641636411902d-01,-3.9103978338147d-01,
-     |   8.4883463517144d-01, 5.3381835686404d-01,-7.3514312284726d-01,
-     |  -6.0357529962340d-01, 6.5583822789276d-01, 6.3313606513896d-01,
-     |  -6.0734744925927d-01,-6.4040168159952d-01, 5.8289101011479d-01,
-     |   6.3512126791643d-01,-5.7584338507089d-01,-6.2293927488275d-01,
-     |   5.8056377636981d-01, 6.0764864252713d-01,-5.9243179417512d-01,
-     |  -5.9243179417512d-01, 6.0764864252713d-01, 5.8056377636981d-01,
-     |  -6.2293927488275d-01,-5.7584338507089d-01, 6.3512126791644d-01,
-     |   5.8289101011480d-01,-6.4040168159951d-01,-6.0734744925927d-01,
-     |   6.3313606513895d-01, 6.5583822789276d-01,-6.0357529962339d-01,
-     |  -7.3514312284727d-01, 5.3381835686404d-01, 8.4883463517144d-01,
-     |  -3.9103978338146d-01,-9.8641636411902d-01, 1.1883144877222d-01,
-     |   1.0917478718856d+00, 3.5986068064029d-01,-9.8211365898487d-01,
-     |  -1.0516621165553d+00, 2.1029144482720d-01, 1.3952920913105d+00,
-     |   1.5926190968812d+00, 1.0706609685852d+00, 4.8588509851049d-01,
-     |   1.5279405769825d-01, 3.2704183470225d-02, 4.5208070315951d-03,
-     |   3.6682183427028d-04, 1.4810961239528d-05, 2.2037913099295d-07,
-     |   6.5206898589373d-10, 7.7262668230263d-14, 2.1531309045343d-22/
-      data (pmn(lat,19,40), lat = 1,72)/
-     |   4.4560696836120d-24, 4.8184464505761d-15, 6.8392781265590d-11,
-     |   3.2815000808536d-08, 2.8908761735764d-06, 8.9769057932755d-05,
-     |   1.3511186129110d-03, 1.1761046097667d-02, 6.5728294030923d-02,
-     |   2.5082615586840d-01, 6.7399153883591d-01, 1.2752867875904d+00,
-     |   1.6149824687662d+00, 1.0951745135627d+00,-2.2495369888060d-01,
-     |  -1.1925694885019d+00,-6.8654735417204d-01, 6.7434900201946d-01,
-     |   9.9086170447169d-01,-2.0041338487822d-01,-1.0102913539253d+00,
-     |  -1.2189897613543d-01, 9.3387233034767d-01, 3.2130767207018d-01,
-     |  -8.4163671578681d-01,-4.3994871027689d-01, 7.6167101485574d-01,
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-     |   6.5778063140637d-01, 5.7181866840978d-01,-6.2904598088054d-01,
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-     |  -6.8392781265590d-11,-4.8184464505761d-15,-4.4560696836120d-24/
-      data (pmn(lat,20,40), lat = 1,72)/
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-     |   6.7057784108889d-12, 2.8113985524996d-16, 8.6314503223846d-26/
-      data (pmn(lat,21,40), lat = 1,72)/
-     |   1.5667602845976d-27, 1.5366544761101d-17, 6.1548938197986d-13,
-     |   5.9298275056061d-10, 8.9282148128152d-08, 4.3259801031919d-06,
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-     |  -4.3259801031921d-06,-8.9282148128152d-08,-5.9298275056061d-10,
-     |  -6.1548938197986d-13,-1.5366544761101d-17,-1.5667602845976d-27/
-      data (pmn(lat,22,40), lat = 1,72)/
-     |   2.6674402965718d-29, 7.8754317969503d-19, 5.2938445021842d-14,
-     |   7.2163041225638d-11, 1.4173642947930d-08, 8.5531643804229d-07,
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-     |  -1.0571084315903d+00, 5.5362737854936d-03, 1.1602061776932d+00,
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-     |   3.1262166019048d-03, 3.3955008797189d-04, 2.2998775407458d-05,
-     |   8.5531643804232d-07, 1.4173642947930d-08, 7.2163041225638d-11,
-     |   5.2938445021842d-14, 7.8754317969503d-19, 2.6674402965718d-29/
-      data (pmn(lat,23,40), lat = 1,72)/
-     |   4.2618839160290d-31, 3.7868184238750d-20, 4.2696527133325d-15,
-     |   8.2280479370395d-12, 2.1056966336716d-09, 1.5800607488572d-07,
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-     |  -1.5800607488572d-07,-2.1056966336716d-09,-8.2280479370395d-12,
-     |  -4.2696527133325d-15,-3.7868184238750d-20,-4.2618839160290d-31/
-      data (pmn(lat,24,40), lat = 1,72)/
-     |   6.3917642099344d-33, 1.7087858102844d-21, 3.2301604014202d-16,
-     |   8.7937240746598d-13, 2.9292671713584d-10, 2.7294257815752d-08,
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-     |   6.9355490329383d-01, 9.8083632414050d-01,-3.8208482165012d-02,
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-     |   2.7793515829356d-04, 2.2093318248918d-05, 1.0683445314600d-06,
-     |   2.7294257815753d-08, 2.9292671713584d-10, 8.7937240746598d-13,
-     |   3.2301604014202d-16, 1.7087858102844d-21, 6.3917642099344d-33/
-      data (pmn(lat,25,40), lat = 1,72)/
-     |   8.9970980857758d-35, 7.2356189170543d-23, 2.2921947993590d-17,
-     |   8.8098125655067d-14, 3.8163672956730d-11, 4.4103812821802d-09,
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-     |   1.1407967957642d+00, 1.4966879636658d+00, 1.2894535143396d+00,
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-     |  -3.0863854545718d-01, 8.2388801473212d-01, 9.0192582653934d-01,
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-     |   7.6174436735950d-01, 7.2836778687160d-01,-4.1534743352494d-01,
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-     |  -8.9872491002971d-01,-4.5961140770753d-02, 8.9215508200292d-01,
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-     |  -4.4103812821804d-09,-3.8163672956730d-11,-8.8098125655067d-14,
-     |  -2.2921947993590d-17,-7.2356189170543d-23,-8.9970980857758d-35/
-      data (pmn(lat,26,40), lat = 1,72)/
-     |   1.1880701575558d-36, 2.8737155999715d-24, 1.5251067263097d-18,
-     |   8.2705773596903d-15, 4.6555744835148d-12, 6.6658689711411d-10,
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-     |   2.0539335786606d-04, 1.6047893216683d-03, 9.2275039398118d-03,
-     |   4.0359214436279d-02, 1.3720462975393d-01, 3.6669188090254d-01,
-     |   7.7059024648567d-01, 1.2531050618769d+00, 1.5013705991596d+00,
-     |   1.1329329929966d+00, 1.1621881590988d-01,-9.2092060092255d-01,
-     |  -1.0704724969351d+00,-1.3049096758778d-01, 9.0888147130535d-01,
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-     |  -3.1136302365703d-01, 7.8562901272645d-01, 7.2150509305424d-01,
-     |  -4.0729986174609d-01,-9.0566175501750d-01,-1.6806716668054d-02,
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-     |  -7.0992363276932d-01, 4.0618169677690d-01, 8.8902462705855d-01,
-     |  -1.6806716668051d-02,-9.0566175501750d-01,-4.0729986174608d-01,
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-     |  -9.8706263461450d-01,-2.9313158733276d-01, 8.2436302590618d-01,
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-     |   3.6669188090253d-01, 1.3720462975393d-01, 4.0359214436280d-02,
-     |   9.2275039398118d-03, 1.6047893216683d-03, 2.0539335786606d-04,
-     |   1.8441877016832d-05, 1.0843553123941d-06, 3.7741660924492d-08,
-     |   6.6658689711414d-10, 4.6555744835148d-12, 8.2705773596903d-15,
-     |   1.5251067263097d-18, 2.8737155999715d-24, 1.1880701575558d-36/
-      data (pmn(lat,27,40), lat = 1,72)/
-     |   1.4705049654124d-38, 1.0696142184761d-25, 9.5065462011380d-20,
-     |   7.2704312881012d-16, 5.3143166257060d-13, 9.4186004756234d-11,
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-     |   1.5784144395587d-02, 6.1144505151947d-02, 1.8750350148712d-01,
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-     |   1.4745428961940d+00, 9.7134324126206d-01,-8.8008850064911d-02,
-     |  -1.0155772298240d+00,-9.9445557008880d-01, 9.8199270877870d-03,
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-     |  -9.8815511084117d-01,-2.9549073632003d-01, 7.8376422242326d-01,
-     |   7.4733245537879d-01,-3.5308290223112d-01,-9.2769228551316d-01,
-     |  -1.3628032898809d-01, 8.5108633855574d-01, 5.6575360148981d-01,
-     |  -5.6575360148981d-01,-8.5108633855574d-01, 1.3628032898809d-01,
-     |   9.2769228551316d-01, 3.5308290223112d-01,-7.4733245537879d-01,
-     |  -7.8376422242326d-01, 2.9549073632002d-01, 9.8815511084117d-01,
-     |   3.5709239995104d-01,-7.6364197929917d-01,-9.5947153514872d-01,
-     |  -9.8199270877911d-03, 9.9445557008880d-01, 1.0155772298240d+00,
-     |   8.8008850064926d-02,-9.7134324126206d-01,-1.4745428961940d+00,
-     |  -1.3381295251953d+00,-8.8844520665384d-01,-4.5818439639754d-01,
-     |  -1.8750350148712d-01,-6.1144505151947d-02,-1.5784144395587d-02,
-     |  -3.1757688662516d-03,-4.8581623449949d-04,-5.4510679702683d-05,
-     |  -4.2638282332712d-06,-2.1627820731847d-07,-6.4017605269952d-09,
-     |  -9.4186004756239d-11,-5.3143166257060d-13,-7.2704312881012d-16,
-     |  -9.5065462011380d-20,-1.0696142184761d-25,-1.4705049654124d-38/
-      data (pmn(lat,28,40), lat = 1,72)/
-     |   1.7037803807503d-40, 3.7262413973589d-27, 5.5447136357969d-21,
-     |   5.9775486790705d-17, 5.6700831817281d-14, 1.2428750454986d-11,
-     |   1.0130549863604d-09, 4.0191363461910d-08, 9.1695578452925d-07,
-     |   1.3428183370907d-05, 1.3614582476214d-04, 1.0083021033982d-03,
-     |   5.6688186751569d-03, 2.4867402356931d-02, 8.6721711899518d-02,
-     |   2.4307494553249d-01, 5.4915695283703d-01, 9.9221170106204d-01,
-     |   1.3966894213433d+00, 1.4274194005344d+00, 8.2034367988264d-01,
-     |  -2.4976603520272d-01,-1.0724111375583d+00,-9.2540735105141d-01,
-     |   1.0685919257401d-01, 9.8591471800733d-01, 7.3139165522625d-01,
-     |  -3.7719006101549d-01,-9.9144547507345d-01,-3.2830717891559d-01,
-     |   7.5168912238121d-01, 8.0535583543756d-01,-2.4201695076050d-01,
-     |  -9.4288287784077d-01,-3.1708954314124d-01, 7.5370623677466d-01,
-     |   7.5370623677466d-01,-3.1708954314124d-01,-9.4288287784077d-01,
-     |  -2.4201695076050d-01, 8.0535583543755d-01, 7.5168912238121d-01,
-     |  -3.2830717891559d-01,-9.9144547507345d-01,-3.7719006101550d-01,
-     |   7.3139165522625d-01, 9.8591471800733d-01, 1.0685919257402d-01,
-     |  -9.2540735105141d-01,-1.0724111375583d+00,-2.4976603520272d-01,
-     |   8.2034367988263d-01, 1.4274194005344d+00, 1.3966894213433d+00,
-     |   9.9221170106204d-01, 5.4915695283703d-01, 2.4307494553249d-01,
-     |   8.6721711899517d-02, 2.4867402356931d-02, 5.6688186751570d-03,
-     |   1.0083021033982d-03, 1.3614582476214d-04, 1.3428183370907d-05,
-     |   9.1695578452927d-07, 4.0191363461911d-08, 1.0130549863604d-09,
-     |   1.2428750454987d-11, 5.6700831817281d-14, 5.9775486790705d-17,
-     |   5.5447136357969d-21, 3.7262413973589d-27, 1.7037803807503d-40/
-      data (pmn(lat,29,40), lat = 1,72)/
-     |   1.8446026889954d-42, 1.2128326879942d-28, 3.0207014715065d-22,
-     |   4.5886329291356d-18, 5.6452941273481d-15, 1.5293477362033d-12,
-     |   1.4934814213856d-10, 6.9498957101692d-09, 1.8322698323485d-07,
-     |   3.0679974439686d-06, 3.5305818807169d-05, 2.9538005618267d-04,
-     |   1.8714653639153d-03, 9.2503331278962d-03, 3.6435656973169d-02,
-     |   1.1599116174540d-01, 3.0065903448713d-01, 6.3448536208884d-01,
-     |   1.0784673346835d+00, 1.4325436980308d+00, 1.3722623502888d+00,
-     |   6.9295122350271d-01,-3.6699211752050d-01,-1.1030002948599d+00,
-     |  -8.7729457309635d-01, 1.5716615345302d-01, 9.9527551175615d-01,
-     |   7.3556298260742d-01,-3.4965262823647d-01,-9.9606582603656d-01,
-     |  -4.1422467301062d-01, 6.7658905123672d-01, 8.8605684816915d-01,
-     |  -6.0149208111341d-02,-9.1984299709588d-01,-5.5256638983284d-01,
-     |   5.5256638983284d-01, 9.1984299709588d-01, 6.0149208111344d-02,
-     |  -8.8605684816915d-01,-6.7658905123672d-01, 4.1422467301063d-01,
-     |   9.9606582603657d-01, 3.4965262823648d-01,-7.3556298260742d-01,
-     |  -9.9527551175615d-01,-1.5716615345302d-01, 8.7729457309634d-01,
-     |   1.1030002948599d+00, 3.6699211752050d-01,-6.9295122350271d-01,
-     |  -1.3722623502888d+00,-1.4325436980308d+00,-1.0784673346835d+00,
-     |  -6.3448536208884d-01,-3.0065903448713d-01,-1.1599116174540d-01,
-     |  -3.6435656973169d-02,-9.2503331278961d-03,-1.8714653639153d-03,
-     |  -2.9538005618267d-04,-3.5305818807169d-05,-3.0679974439687d-06,
-     |  -1.8322698323486d-07,-6.9498957101693d-09,-1.4934814213856d-10,
-     |  -1.5293477362033d-12,-5.6452941273481d-15,-4.5886329291356d-18,
-     |  -3.0207014715065d-22,-1.2128326879942d-28,-1.8446026889954d-42/
-      data (pmn(lat,30,40), lat = 1,72)/
-     |   1.8616271783075d-44, 3.6794327825338d-30, 1.5335006520851d-23,
-     |   3.2812049630496d-19, 5.2330652251248d-16, 1.7509483971335d-13,
-     |   2.0468903721262d-11, 1.1160972205640d-09, 3.3958739963144d-08,
-     |   6.4911950210905d-07, 8.4618291753976d-06, 7.9776543570319d-05,
-     |   5.6782172641327d-04, 3.1496296363992d-03, 1.3936338988900d-02,
-     |   5.0012719161167d-02, 1.4712302051631d-01, 3.5644899975002d-01,
-     |   7.0957595808224d-01, 1.1456981834430d+00, 1.4513498558019d+00,
-     |   1.3210049873497d+00, 5.9952248584013d-01,-4.3936197711993d-01,
-     |  -1.1168124788111d+00,-8.6037187631281d-01, 1.5691635103140d-01,
-     |   9.8902169686039d-01, 7.8002266380682d-01,-2.6638608304659d-01,
-     |  -9.9134596140621d-01,-5.5383701570488d-01, 5.3601859239916d-01,
-     |   9.6398055481956d-01, 2.0279907085459d-01,-8.0677858517995d-01,
-     |  -8.0677858517995d-01, 2.0279907085459d-01, 9.6398055481955d-01,
-     |   5.3601859239917d-01,-5.5383701570487d-01,-9.9134596140621d-01,
-     |  -2.6638608304660d-01, 7.8002266380682d-01, 9.8902169686039d-01,
-     |   1.5691635103140d-01,-8.6037187631280d-01,-1.1168124788111d+00,
-     |  -4.3936197711993d-01, 5.9952248584013d-01, 1.3210049873497d+00,
-     |   1.4513498558019d+00, 1.1456981834430d+00, 7.0957595808224d-01,
-     |   3.5644899975003d-01, 1.4712302051631d-01, 5.0012719161168d-02,
-     |   1.3936338988899d-02, 3.1496296363992d-03, 5.6782172641328d-04,
-     |   7.9776543570319d-05, 8.4618291753976d-06, 6.4911950210906d-07,
-     |   3.3958739963144d-08, 1.1160972205640d-09, 2.0468903721262d-11,
-     |   1.7509483971336d-13, 5.2330652251248d-16, 3.2812049630496d-19,
-     |   1.5335006520851d-23, 3.6794327825338d-30, 1.8616271783075d-44/
-      data (pmn(lat,31,40), lat = 1,72)/
-     |   1.7459035895912d-46, 1.0371766017558d-31, 7.2320117229284d-25,
-     |   2.1789134019088d-20, 4.5028375988740d-17, 1.8597119273197d-14,
-     |   2.6005904966602d-12, 1.6599988503022d-10, 5.8224075189799d-09,
-     |   1.2687553061758d-07, 1.8703423840606d-06, 1.9828334137194d-05,
-     |   1.5812677429107d-04, 9.8097561680072d-04, 4.8547056806573d-03,
-     |   1.9524607583312d-02, 6.4653637464435d-02, 1.7769517981101d-01,
-     |   4.0644334379218d-01, 7.7061025230192d-01, 1.1938511736939d+00,
-     |   1.4594196090020d+00, 1.2842126228100d+00, 5.4831600750474d-01,
-     |  -4.6605131925148d-01,-1.1190680297476d+00,-8.8100419637573d-01,
-     |   1.0003540000178d-01, 9.6035260328800d-01, 8.6246295761902d-01,
-     |  -1.1486154353987d-01,-9.5266278930855d-01,-7.3696387473508d-01,
-     |   3.0036432287269d-01, 9.8785217962210d-01, 5.3580088675795d-01,
-     |  -5.3580088675795d-01,-9.8785217962210d-01,-3.0036432287270d-01,
-     |   7.3696387473508d-01, 9.5266278930855d-01, 1.1486154353987d-01,
-     |  -8.6246295761902d-01,-9.6035260328800d-01,-1.0003540000178d-01,
-     |   8.8100419637573d-01, 1.1190680297476d+00, 4.6605131925148d-01,
-     |  -5.4831600750474d-01,-1.2842126228100d+00,-1.4594196090020d+00,
-     |  -1.1938511736939d+00,-7.7061025230193d-01,-4.0644334379218d-01,
-     |  -1.7769517981101d-01,-6.4653637464435d-02,-1.9524607583312d-02,
-     |  -4.8547056806572d-03,-9.8097561680072d-04,-1.5812677429107d-04,
-     |  -1.9828334137194d-05,-1.8703423840606d-06,-1.2687553061758d-07,
-     |  -5.8224075189801d-09,-1.6599988503022d-10,-2.6005904966602d-12,
-     |  -1.8597119273198d-14,-4.5028375988740d-17,-2.1789134019088d-20,
-     |  -7.2320117229284d-25,-1.0371766017558d-31,-1.7459035895912d-46/
-      data (pmn(lat,32,40), lat = 1,72)/
-     |   1.5153490069036d-48, 2.7055014732225d-33, 3.1555363662402d-26,
-     |   1.3383088612961d-21, 3.5821919192380d-18, 1.8252403268031d-15,
-     |   3.0511346772172d-13, 2.2780697123464d-11, 9.2017020462822d-10,
-     |   2.2830239616928d-08, 3.8001833204184d-07, 4.5219307382836d-06,
-     |   4.0312267876477d-05, 2.7890697534613d-04, 1.5381812082211d-03,
-     |   6.9003232707936d-03, 2.5559279792506d-02, 7.8989180462223d-02,
-     |   2.0490478152401d-01, 4.4673292864549d-01, 8.1450574249596d-01,
-     |   1.2235444711184d+00, 1.4623911827356d+00, 1.2702856836373d+00,
-     |   5.4627732780113d-01,-4.4352113053900d-01,-1.1084109103236d+00,
-     |  -9.4050692165744d-01,-2.2494210219958d-02, 8.9110966419872d-01,
-     |   9.6923251632168d-01, 1.1819159574960d-01,-8.3734376041205d-01,
-     |  -9.2892430310510d-01,-5.4581530372746d-02, 8.7296797112631d-01,
-     |   8.7296797112631d-01,-5.4581530372743d-02,-9.2892430310510d-01,
-     |  -8.3734376041205d-01, 1.1819159574960d-01, 9.6923251632168d-01,
-     |   8.9110966419872d-01,-2.2494210219949d-02,-9.4050692165744d-01,
-     |  -1.1084109103236d+00,-4.4352113053900d-01, 5.4627732780112d-01,
-     |   1.2702856836373d+00, 1.4623911827356d+00, 1.2235444711184d+00,
-     |   8.1450574249597d-01, 4.4673292864549d-01, 2.0490478152401d-01,
-     |   7.8989180462224d-02, 2.5559279792506d-02, 6.9003232707936d-03,
-     |   1.5381812082210d-03, 2.7890697534613d-04, 4.0312267876478d-05,
-     |   4.5219307382836d-06, 3.8001833204184d-07, 2.2830239616928d-08,
-     |   9.2017020462825d-10, 2.2780697123464d-11, 3.0511346772172d-13,
-     |   1.8252403268032d-15, 3.5821919192380d-18, 1.3383088612961d-21,
-     |   3.1555363662402d-26, 2.7055014732225d-33, 1.5153490069036d-48/
-      data (pmn(lat,33,40), lat = 1,72)/
-     |   1.2107523351056d-50, 6.4961362293718d-35, 1.2671346061624d-27,
-     |   7.5629420384136d-23, 2.6210086425417d-19, 1.6468075605564d-16,
-     |   3.2887996132632d-14, 2.8700569735919d-12, 1.3338450225253d-10,
-     |   3.7639068495418d-09, 7.0649254847482d-08, 9.4206639136254d-07,
-     |   9.3698813228718d-06, 7.2122540689858d-05, 4.4192064421461d-04,
-     |   2.2027809806677d-03, 9.0810108823167d-03, 3.1344015549402d-02,
-     |   9.1345987585769d-02, 2.2581302862622d-01, 4.7367810879205d-01,
-     |   8.3862120127748d-01, 1.2350425061702d+00, 1.4638346525487d+00,
-     |   1.2846264967976d+00, 5.9954727805084d-01,-3.6360421052194d-01,
-     |  -1.0739860835370d+00,-1.0318290013961d+00,-2.2062717609467d-01,
-     |   7.4909743831738d-01, 1.0657685491634d+00, 4.3497920715273d-01,
-     |  -5.8582032441649d-01,-1.0500485041854d+00,-5.1395058961960d-01,
-     |   5.1395058961959d-01, 1.0500485041854d+00, 5.8582032441650d-01,
-     |  -4.3497920715273d-01,-1.0657685491634d+00,-7.4909743831737d-01,
-     |   2.2062717609467d-01, 1.0318290013961d+00, 1.0739860835370d+00,
-     |   3.6360421052194d-01,-5.9954727805083d-01,-1.2846264967976d+00,
-     |  -1.4638346525487d+00,-1.2350425061702d+00,-8.3862120127748d-01,
-     |  -4.7367810879206d-01,-2.2581302862622d-01,-9.1345987585770d-02,
-     |  -3.1344015549402d-02,-9.0810108823168d-03,-2.2027809806677d-03,
-     |  -4.4192064421460d-04,-7.2122540689857d-05,-9.3698813228720d-06,
-     |  -9.4206639136254d-07,-7.0649254847482d-08,-3.7639068495419d-09,
-     |  -1.3338450225253d-10,-2.8700569735920d-12,-3.2887996132632d-14,
-     |  -1.6468075605565d-16,-2.6210086425417d-19,-7.5629420384136d-23,
-     |  -1.2671346061624d-27,-6.4961362293718d-35,-1.2107523351056d-50/
-      data (pmn(lat,34,40), lat = 1,72)/
-     |   8.8427454372384d-53, 1.4256632219557d-36, 4.6500395778541d-29,
-     |   3.9048321636437d-24, 1.7515341884578d-20, 1.3564589658292d-17,
-     |   3.2345754978384d-15, 3.2970604104448d-13, 1.7615809380369d-11,
-     |   5.6480947551550d-10, 1.1940807001654d-08, 1.7817458803557d-07,
-     |   1.9737478975830d-06, 1.6866852879655d-05, 1.1452814835059d-04,
-     |   6.3227330051288d-04, 2.8891547155765d-03, 1.1078292987374d-02,
-     |   3.6011435273724d-02, 9.9930076604753d-02, 2.3759599869070d-01,
-     |   4.8398349283846d-01, 8.4029703001581d-01, 1.2271043162374d+00,
-     |   1.4637088304815d+00, 1.3283176568235d+00, 7.1295767329241d-01,
-     |  -2.1250563565918d-01,-9.9182178217043d-01,-1.1326597193325d+00,
-     |  -4.9757284760801d-01, 4.8926187099556d-01, 1.0832348661982d+00,
-     |   8.0027976222330d-01,-1.4162584680846d-01,-9.5943534163652d-01,
-     |  -9.5943534163652d-01,-1.4162584680846d-01, 8.0027976222330d-01,
-     |   1.0832348661982d+00, 4.8926187099556d-01,-4.9757284760801d-01,
-     |  -1.1326597193325d+00,-9.9182178217044d-01,-2.1250563565918d-01,
-     |   7.1295767329240d-01, 1.3283176568235d+00, 1.4637088304815d+00,
-     |   1.2271043162374d+00, 8.4029703001581d-01, 4.8398349283846d-01,
-     |   2.3759599869071d-01, 9.9930076604753d-02, 3.6011435273724d-02,
-     |   1.1078292987374d-02, 2.8891547155766d-03, 6.3227330051289d-04,
-     |   1.1452814835059d-04, 1.6866852879655d-05, 1.9737478975830d-06,
-     |   1.7817458803557d-07, 1.1940807001654d-08, 5.6480947551552d-10,
-     |   1.7615809380370d-11, 3.2970604104449d-13, 3.2345754978384d-15,
-     |   1.3564589658293d-17, 1.7515341884578d-20, 3.9048321636437d-24,
-     |   4.6500395778541d-29, 1.4256632219557d-36, 8.8427454372384d-53/
-      data (pmn(lat,35,40), lat = 1,72)/
-     |   5.8474594895603d-55, 2.8326653588637d-38, 1.5446952666303d-30,
-     |   1.8246022900891d-25, 1.0589833021000d-21, 1.0104574488315d-18,
-     |   2.8756044104313d-16, 3.4216188612744d-14, 2.1001472618731d-12,
-     |   7.6442175781787d-11, 1.8183224560069d-09, 3.0323172166829d-08,
-     |   3.7355805491537d-07, 3.5376479964982d-06, 2.6560421741543d-05,
-     |   1.6196038202818d-04, 8.1752258893427d-04, 3.4674047151566d-03,
-     |   1.2501422320869d-02, 3.8648235729360d-02, 1.0306099941357d-01,
-     |   2.3780281510745d-01, 4.7474064030686d-01, 8.1638784448693d-01,
-     |   1.1958416728479d+00, 1.4565547669034d+00, 1.3957201452117d+00,
-     |   8.8737475988547d-01, 2.7808926505304d-02,-8.2157061001994d-01,
-     |  -1.1939982859670d+00,-8.3149647995817d-01, 6.7759464398643d-02,
-     |   9.0947586208909d-01, 1.0968394252888d+00, 4.8430874134721d-01,
-     |  -4.8430874134721d-01,-1.0968394252888d+00,-9.0947586208909d-01,
-     |  -6.7759464398646d-02, 8.3149647995816d-01, 1.1939982859670d+00,
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-     |  -1.3957201452117d+00,-1.4565547669035d+00,-1.1958416728479d+00,
-     |  -8.1638784448694d-01,-4.7474064030686d-01,-2.3780281510745d-01,
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-     |  -3.0323172166829d-08,-1.8183224560069d-09,-7.6442175781789d-11,
-     |  -2.1001472618732d-12,-3.4216188612744d-14,-2.8756044104313d-16,
-     |  -1.0104574488315d-18,-1.0589833021000d-21,-1.8246022900891d-25,
-     |  -1.5446952666303d-30,-2.8326653588637d-38,-5.8474594895603d-55/
-      data (pmn(lat,36,40), lat = 1,72)/
-     |   3.4545761343966d-57, 5.0279603112610d-40, 4.5834051720482d-32,
-     |   7.6138342492598d-27, 5.7161854936026d-23, 6.7176624294175d-20,
-     |   2.2805162226713d-17, 3.1658391543184d-15, 2.2308014840321d-13,
-     |   9.2105089409059d-12, 2.4627354096654d-10, 4.5848571520656d-09,
-     |   6.2728719823101d-08, 6.5726866399417d-07, 5.4459038904954d-06,
-     |   3.6594062770689d-05, 2.0346088195223d-04, 9.5112258699120d-04,
-     |   3.7862542141649d-03, 1.2963978805110d-02, 3.8468623769224d-02,
-     |   9.9450973537102d-02, 2.2465935000679d-01, 4.4357804019439d-01,
-     |   7.6303709769552d-01, 1.1338425235604d+00, 1.4294491190989d+00,
-     |   1.4704120276682d+00, 1.1132125377284d+00, 3.7267234401015d-01,
-     |  -5.0769269029114d-01,-1.1263424751106d+00,-1.1413413612598d+00,
-     |  -5.1320622011127d-01, 4.1227317422398d-01, 1.0820189768198d+00,
-     |   1.0820189768198d+00, 4.1227317422399d-01,-5.1320622011127d-01,
-     |  -1.1413413612598d+00,-1.1263424751106d+00,-5.0769269029114d-01,
-     |   3.7267234401015d-01, 1.1132125377283d+00, 1.4704120276682d+00,
-     |   1.4294491190989d+00, 1.1338425235604d+00, 7.6303709769552d-01,
-     |   4.4357804019439d-01, 2.2465935000679d-01, 9.9450973537102d-02,
-     |   3.8468623769225d-02, 1.2963978805110d-02, 3.7862542141649d-03,
-     |   9.5112258699120d-04, 2.0346088195223d-04, 3.6594062770689d-05,
-     |   5.4459038904953d-06, 6.5726866399417d-07, 6.2728719823103d-08,
-     |   4.5848571520656d-09, 2.4627354096654d-10, 9.2105089409061d-12,
-     |   2.2308014840322d-13, 3.1658391543185d-15, 2.2805162226713d-17,
-     |   6.7176624294180d-20, 5.7161854936026d-23, 7.6138342492598d-27,
-     |   4.5834051720482d-32, 5.0279603112610d-40, 3.4545761343966d-57/
-      data (pmn(lat,37,40), lat = 1,72)/
-     |   1.7877356540975d-59, 7.8170430700734d-42, 1.1910596236745d-33,
-     |   2.7819913065600d-28, 2.7010214820791d-24, 3.9082117079866d-21,
-     |   1.5820388254300d-18, 2.5609870624614d-16, 2.0704806896373d-14,
-     |   9.6899455880500d-13, 2.9099283483988d-11, 6.0416824565012d-10,
-     |   9.1693565062705d-09, 1.0615052075400d-07, 9.6900203166173d-07,
-     |   7.1606814923902d-06, 4.3746230522044d-05, 2.2472131307416d-04,
-     |   9.8405000845338d-04, 3.7141288733333d-03, 1.2189415055074d-02,
-     |   3.5022571103186d-02, 8.8530665528811d-02, 1.9748764171869d-01,
-     |   3.8912644152766d-01, 6.7608632116790d-01, 1.0301145794614d+00,
-     |   1.3602529774512d+00, 1.5194138749818d+00, 1.3581988734341d+00,
-     |   8.1656374097223d-01, 4.4286280270342d-03,-7.9596107712163d-01,
-     |  -1.2407870512923d+00,-1.1074555594561d+00,-4.4108522384470d-01,
-     |   4.4108522384469d-01, 1.1074555594561d+00, 1.2407870512923d+00,
-     |   7.9596107712163d-01,-4.4286280270312d-03,-8.1656374097223d-01,
-     |  -1.3581988734341d+00,-1.5194138749818d+00,-1.3602529774512d+00,
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-     |  -1.9748764171869d-01,-8.8530665528811d-02,-3.5022571103186d-02,
-     |  -1.2189415055074d-02,-3.7141288733333d-03,-9.8405000845339d-04,
-     |  -2.2472131307416d-04,-4.3746230522044d-05,-7.1606814923903d-06,
-     |  -9.6900203166172d-07,-1.0615052075400d-07,-9.1693565062707d-09,
-     |  -6.0416824565012d-10,-2.9099283483988d-11,-9.6899455880503d-13,
-     |  -2.0704806896374d-14,-2.5609870624615d-16,-1.5820388254300d-18,
-     |  -3.9082117079869d-21,-2.7010214820791d-24,-2.7819913065600d-28,
-     |  -1.1910596236745d-33,-7.8170430700734d-42,-1.7877356540975d-59/
-      data (pmn(lat,38,40), lat = 1,72)/
-     |   7.8516230366698d-62, 1.0313734709190d-43, 2.6263431927105d-35,
-     |   8.6239186469570d-30, 1.0825366936198d-25, 1.9279590746342d-22,
-     |   9.3024216731284d-20, 1.7551766393574d-17, 1.6271858617442d-15,
-     |   8.6264328022347d-14, 2.9072655173200d-12, 6.7256541847686d-11,
-     |   1.1310797219205d-09, 1.4449010548243d-08, 1.4510136352089d-07,
-     |   1.1771281183002d-06, 7.8851213198090d-06, 4.4396794057503d-05,
-     |   2.1319172517985d-04, 8.8357914540774d-04, 3.1916818078147d-03,
-     |   1.0128336428004d-02, 2.8414781257489d-02, 7.0816343892526d-02,
-     |   1.5731304910416d-01, 3.1204700868162d-01, 5.5269470344423d-01,
-     |   8.7195908427065d-01, 1.2179002259858d+00, 1.4875188739292d+00,
-     |   1.5490592083893d+00, 1.2964856883325d+00, 7.1678552832762d-01,
-     |  -6.8575295148083d-02,-8.2412993050614d-01,-1.2879319214528d+00,
-     |  -1.2879319214528d+00,-8.2412993050614d-01,-6.8575295148085d-02,
-     |   7.1678552832762d-01, 1.2964856883325d+00, 1.5490592083893d+00,
-     |   1.4875188739292d+00, 1.2179002259858d+00, 8.7195908427065d-01,
-     |   5.5269470344423d-01, 3.1204700868162d-01, 1.5731304910416d-01,
-     |   7.0816343892527d-02, 2.8414781257489d-02, 1.0128336428004d-02,
-     |   3.1916818078147d-03, 8.8357914540774d-04, 2.1319172517985d-04,
-     |   4.4396794057503d-05, 7.8851213198091d-06, 1.1771281183003d-06,
-     |   1.4510136352089d-07, 1.4449010548243d-08, 1.1310797219205d-09,
-     |   6.7256541847686d-11, 2.9072655173200d-12, 8.6264328022349d-14,
-     |   1.6271858617443d-15, 1.7551766393574d-17, 9.3024216731284d-20,
-     |   1.9279590746344d-22, 1.0825366936198d-25, 8.6239186469570d-30,
-     |   2.6263431927105d-35, 1.0313734709190d-43, 7.8516230366698d-62/
-      data (pmn(lat,39,40), lat = 1,72)/
-     |   2.7609104689027d-64, 1.0894397055374d-45, 4.6359309787300d-37,
-     |   2.1396890935074d-31, 3.4718320531576d-27, 7.6084549874070d-24,
-     |   4.3742359497160d-21, 9.6156376448552d-19, 1.0217111282639d-16,
-     |   6.1320768356742d-15, 2.3176605490159d-13, 5.9692287941475d-12,
-     |   1.1113183191463d-10, 1.5647956393176d-09, 1.7264327396122d-08,
-     |   1.5351472210952d-07, 1.1254694109822d-06, 6.9304673121826d-06,
-     |   3.6398093747008d-05, 1.6511710595513d-04, 6.5387331062398d-04,
-     |   2.2804130431281d-03, 7.0556873204896d-03, 1.9485053460366d-02,
-     |   4.8265028213952d-02, 1.0764639067070d-01, 2.1677585180670d-01,
-     |   3.9481062752929d-01, 6.5056417027916d-01, 9.6859421566336d-01,
-     |   1.2981074224476d+00, 1.5538562237878d+00, 1.6357035959832d+00,
-     |   1.4645903888492d+00, 1.0211432392028d+00, 3.6687089384091d-01,
-     |  -3.6687089384091d-01,-1.0211432392028d+00,-1.4645903888492d+00,
-     |  -1.6357035959832d+00,-1.5538562237878d+00,-1.2981074224476d+00,
-     |  -9.6859421566337d-01,-6.5056417027916d-01,-3.9481062752929d-01,
-     |  -2.1677585180670d-01,-1.0764639067070d-01,-4.8265028213952d-02,
-     |  -1.9485053460367d-02,-7.0556873204896d-03,-2.2804130431281d-03,
-     |  -6.5387331062400d-04,-1.6511710595513d-04,-3.6398093747009d-05,
-     |  -6.9304673121827d-06,-1.1254694109822d-06,-1.5351472210953d-07,
-     |  -1.7264327396122d-08,-1.5647956393176d-09,-1.1113183191463d-10,
-     |  -5.9692287941475d-12,-2.3176605490159d-13,-6.1320768356744d-15,
-     |  -1.0217111282640d-16,-9.6156376448554d-19,-4.3742359497160d-21,
-     |  -7.6084549874075d-24,-3.4718320531576d-27,-2.1396890935074d-31,
-     |  -4.6359309787300d-37,-1.0894397055374d-45,-2.7609104689027d-64/
-      data (pmn(lat,40,40), lat = 1,72)/
-     |   6.7354035460291d-67, 7.9833944616002d-48, 5.6764488044852d-39,
-     |   3.6820174218292d-33, 7.7210346441516d-29, 2.0815300669866d-25,
-     |   1.4254637193160d-22, 3.6493402515906d-20, 4.4421919623797d-18,
-     |   3.0166551409490d-16, 1.2778499025311d-14, 3.6613724304167d-13,
-     |   7.5396244366336d-12, 1.1689749925116d-10, 1.4152888809028d-09,
-     |   1.3775139185553d-08, 1.1035109321155d-07, 7.4175731626655d-07,
-     |   4.2509826564479d-06, 2.1050341072082d-05, 9.1087264367306d-05,
-     |   3.4771874055350d-04, 1.1805971922215d-03, 3.5900489875259d-03,
-     |   9.8359632091658d-03, 2.4405036969449d-02, 5.5081129483167d-02,
-     |   1.1350883052774d-01, 2.1427124133615d-01, 3.7153345095961d-01,
-     |   5.9310888953493d-01, 8.7338162765387d-01, 1.1881723874345d+00,
-     |   1.4951557277878d+00, 1.7418561665398d+00, 1.8798014191335d+00,
-     |   1.8798014191335d+00, 1.7418561665398d+00, 1.4951557277878d+00,
-     |   1.1881723874345d+00, 8.7338162765387d-01, 5.9310888953493d-01,
-     |   3.7153345095962d-01, 2.1427124133615d-01, 1.1350883052774d-01,
-     |   5.5081129483167d-02, 2.4405036969449d-02, 9.8359632091658d-03,
-     |   3.5900489875259d-03, 1.1805971922215d-03, 3.4771874055350d-04,
-     |   9.1087264367308d-05, 2.1050341072082d-05, 4.2509826564480d-06,
-     |   7.4175731626656d-07, 1.1035109321155d-07, 1.3775139185554d-08,
-     |   1.4152888809028d-09, 1.1689749925116d-10, 7.5396244366337d-12,
-     |   3.6613724304167d-13, 1.2778499025311d-14, 3.0166551409491d-16,
-     |   4.4421919623798d-18, 3.6493402515907d-20, 1.4254637193160d-22,
-     |   2.0815300669867d-25, 7.7210346441516d-29, 3.6820174218292d-33,
-     |   5.6764488044852d-39, 7.9833944616002d-48, 6.7354035460291d-67/
-      data (pmn(lat, 0,41), lat = 1,72)/
-     |   5.1881286293450d+00,-9.6393279292105d-01,-2.0260556951895d+00,
-     |   1.4942940697675d+00, 8.7457504803675d-01,-1.5792521465997d+00,
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-     |   2.5543648308465d-01,-9.1955543090662d-01, 1.8377055782676d-01,
-     |   8.0190360963779d-01,-5.5371454629946d-01,-5.1905856559944d-01,
-     |   7.8307447833110d-01, 1.3846877490937d-01,-8.3159738962738d-01,
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-     |  -4.1290554546861d-01, 7.7080156157100d-01, 4.4121375070099d-02,
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-     |  -4.4121375070095d-02,-7.7080156157100d-01, 4.1290554546861d-01,
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-     |   8.3159738962738d-01,-1.3846877490937d-01,-7.8307447833110d-01,
-     |   5.1905856559944d-01, 5.5371454629946d-01,-8.0190360963779d-01,
-     |  -1.8377055782678d-01, 9.1955543090662d-01,-2.5543648308465d-01,
-     |  -8.3457797336289d-01, 6.7410940531253d-01, 5.4789513311908d-01,
-     |  -9.8014704282341d-01,-1.0011322871281d-01, 1.0957174533872d+00,
-     |  -4.3442218293774d-01,-9.7074559772083d-01, 9.5959938783360d-01,
-     |   5.8979308775903d-01,-1.3728444181436d+00, 3.1963723963142d-02,
-     |   1.5792521465998d+00,-8.7457504803675d-01,-1.4942940697675d+00,
-     |   2.0260556951895d+00, 9.6393279292105d-01,-5.1881286293450d+00/
-      data (pmn(lat, 1,41), lat = 1,72)/
-     |   2.6274493187452d+00, 2.8141191917384d+00,-1.5355454978445d+00,
-     |  -1.2806248340551d+00, 1.6345294034968d+00, 3.4842274433117d-01,
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-     |  -8.3856162061064d-01,-6.8123638254622d-01, 1.0750409289013d+00,
-     |   1.4028895495678d-01,-1.0641653803689d+00, 3.5636495310200d-01,
-     |   8.3858387385629d-01,-7.2423606369400d-01,-4.6284746773311d-01,
-     |   9.0642521069469d-01, 2.2825904331411d-02,-8.8294435135140d-01,
-     |   3.8961646690670d-01, 6.7314092888063d-01,-6.9323538607423d-01,
-     |  -3.3082460170288d-01, 8.3197181299598d-01,-6.6932968506541d-02,
-     |  -7.8465657531394d-01, 4.3516909301806d-01, 5.6802580530357d-01,
-     |  -6.9764082132952d-01,-2.3251190304033d-01, 8.0152451509514d-01,
-     |  -1.4834779409789d-01,-7.2742765986654d-01, 4.9283335280205d-01,
-     |   4.9283335280206d-01,-7.2742765986653d-01,-1.4834779409790d-01,
-     |   8.0152451509514d-01,-2.3251190304033d-01,-6.9764082132952d-01,
-     |   5.6802580530356d-01, 4.3516909301807d-01,-7.8465657531394d-01,
-     |  -6.6932968506545d-02, 8.3197181299598d-01,-3.3082460170287d-01,
-     |  -6.9323538607423d-01, 6.7314092888063d-01, 3.8961646690670d-01,
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-     |  -4.6284746773311d-01,-7.2423606369401d-01, 8.3858387385629d-01,
-     |   3.5636495310199d-01,-1.0641653803689d+00, 1.4028895495676d-01,
-     |   1.0750409289013d+00,-6.8123638254622d-01,-8.3856162061065d-01,
-     |   1.1689372540320d+00, 3.5622077095877d-01,-1.5101014081433d+00,
-     |   3.4842274433114d-01, 1.6345294034968d+00,-1.2806248340551d+00,
-     |  -1.5355454978445d+00, 2.8141191917384d+00, 2.6274493187452d+00/
-      data (pmn(lat, 2,41), lat = 1,72)/
-     |   6.1574895980339d-01, 3.0350104237922d+00, 1.3510822780984d+00,
-     |  -1.8964056513902d+00,-4.7880832961874d-01, 1.6488359411996d+00,
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-     |   1.1075032389775d+00,-1.7697514706324d-01,-9.5727874185822d-01,
-     |   5.9860091129125d-01, 6.3467601404538d-01,-8.5837933695321d-01,
-     |  -2.1374009512320d-01, 9.2105524394596d-01,-2.1805091752209d-01,
-     |  -7.8859305115668d-01, 5.7572661979783d-01, 4.9907396152754d-01,
-     |  -7.9228216477327d-01,-1.1876364890007d-01, 8.3066047250374d-01,
-     |  -2.7104268630069d-01,-6.8998851664466d-01, 5.8985466278029d-01,
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-      data (pmn(lat, 3,41), lat = 1,72)/
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-      data (pmn(lat, 4,41), lat = 1,72)/
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-      data (pmn(lat, 5,41), lat = 1,72)/
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-      data (pmn(lat, 6,41), lat = 1,72)/
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-      data (pmn(lat, 7,41), lat = 1,72)/
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-      data (pmn(lat, 8,41), lat = 1,72)/
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-      data (pmn(lat, 9,41), lat = 1,72)/
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-     |   1.5393721305582d-02, 2.1640266237161d-04, 1.2935321073569d-08/
-      data (pmn(lat,10,41), lat = 1,72)/
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-      data (pmn(lat,11,41), lat = 1,72)/
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-      data (pmn(lat,12,41), lat = 1,72)/
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-      data (pmn(lat,13,41), lat = 1,72)/
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-      data (pmn(lat,14,41), lat = 1,72)/
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-      data (pmn(lat,15,41), lat = 1,72)/
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-      data (pmn(lat,16,41), lat = 1,72)/
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-      data (pmn(lat,17,41), lat = 1,72)/
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-      data (pmn(lat,18,41), lat = 1,72)/
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-      data (pmn(lat,19,41), lat = 1,72)/
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-      data (pmn(lat,20,41), lat = 1,72)/
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-      data (pmn(lat,21,41), lat = 1,72)/
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-     |   1.0847717704227d-12, 2.7278118333449d-17, 2.7911761997951d-27/
-      data (pmn(lat,22,41), lat = 1,72)/
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-     |   1.3023494039947d-10, 2.5219161639543d-08, 1.4943986804686d-06,
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-      data (pmn(lat,23,41), lat = 1,72)/
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-     |   1.5390945037452d-11, 3.8858122754979d-09, 2.8656981781867d-07,
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-      data (pmn(lat,24,41), lat = 1,72)/
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-     |   1.7071912057009d-12, 5.6136008810928d-10, 5.1447926852690d-08,
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-      data (pmn(lat,25,41), lat = 1,72)/
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-     |   4.6683106486339d-17, 1.4825660495994d-22, 1.8490469797444d-34/
-      data (pmn(lat,26,41), lat = 1,72)/
-     |   2.5408171619977d-36, 6.1279704006913d-24, 3.2332715332027d-18,
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-     |  -3.2332715332027d-18,-6.1279704006913d-24,-2.5408171619977d-36/
-      data (pmn(lat,27,41), lat = 1,72)/
-     |   3.2794581887158d-38, 2.3787537498261d-25, 2.1023551879614d-19,
-     |   1.5942387176356d-15, 1.1520186860714d-12, 2.0121958671143d-10,
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-     |   2.0121958671144d-10, 1.1520186860714d-12, 1.5942387176356d-15,
-     |   2.1023551879614d-19, 2.3787537498261d-25, 3.2794581887158d-38/
-      data (pmn(lat,28,41), lat = 1,72)/
-     |   3.9720697740527d-40, 8.6636917142303d-27, 1.2822053430810d-20,
-     |   1.3710180615002d-16, 1.2862075777089d-13, 2.7801052230187d-11,
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-     |  -1.2822053430810d-20,-8.6636917142303d-27,-3.9720697740527d-40/
-      data (pmn(lat,29,41), lat = 1,72)/
-     |   4.5083382714692d-42, 2.9565315008852d-28, 7.3251328515505d-22,
-     |   1.1039645729934d-17, 1.3437837319516d-14, 3.5915610598118d-12,
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-     |   3.6261421430648d-03, 1.7108463848889d-02, 6.3851631995825d-02,
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-     |  -8.2699433119519d-02, 9.1780770770483d-01, 8.4080933713167d-01,
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-     |   8.8166240204344d-01, 4.5864073362439d-01, 1.9082260914962d-01,
-     |   6.3851631995825d-02, 1.7108463848889d-02, 3.6261421430649d-03,
-     |   5.9595206999298d-04, 7.3789028009084d-05, 6.6122331990768d-06,
-     |   4.0557862742113d-07, 1.5742119893713d-08, 3.4499761340521d-10,
-     |   3.5915610598120d-12, 1.3437837319516d-14, 1.1039645729934d-17,
-     |   7.3251328515505d-22, 2.9565315008852d-28, 4.5083382714692d-42/
-      data (pmn(lat,30,41), lat = 1,72)/
-     |   4.7861396024837d-44, 9.4357874889689d-30, 3.9127464266730d-23,
-     |   8.3082484745181d-19, 1.3114774416694d-15, 4.3312982888492d-13,
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-     |   1.4786800029568d-06, 1.8719099476458d-05, 1.7066923897380d-04,
-     |   1.1692516518818d-03, 6.2089492900239d-03, 2.6133017722610d-02,
-     |   8.8513892044150d-02, 2.4332525278701d-01, 5.4359265015438d-01,
-     |   9.7853919069167d-01, 1.3835406361612d+00, 1.4376388378767d+00,
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-     |  -9.8711502613138d-01,-9.9404948816581d-03, 9.4082859713531d-01,
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-     |  -4.3312982888494d-13,-1.3114774416694d-15,-8.3082484745181d-19,
-     |  -3.9127464266730d-23,-9.4357874889689d-30,-4.7861396024837d-44/
-      data (pmn(lat,31,41), lat = 1,72)/
-     |   4.7407887078161d-46, 2.8094547447328d-31, 1.9493891814023d-24,
-     |   5.8299467149648d-20, 1.1928516183107d-16, 4.8649379562016d-14,
-     |   6.6995512679109d-12, 4.1992921219003d-10, 1.4419302510828d-08,
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-     |   3.4710571420042d-04, 2.0666731570096d-03, 9.7606330980022d-03,
-     |   3.7211798592394d-02, 1.1584879791345d-01, 2.9619901457707d-01,
-     |   6.2127623030504d-01, 1.0575552805178d+00, 1.4196936404308d+00,
-     |   1.3964300083899d+00, 7.7024222385810d-01,-2.7026538878181d-01,
-     |  -1.0688133501823d+00,-9.6238986662862d-01, 1.0519780469479d-02,
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-     |   1.4419302510828d-08, 4.1992921219003d-10, 6.6995512679109d-12,
-     |   4.8649379562019d-14, 1.1928516183107d-16, 5.8299467149648d-20,
-     |   1.9493891814023d-24, 2.8094547447328d-31, 4.7407887078161d-46/
-      data (pmn(lat,32,41), lat = 1,72)/
-     |   4.3673797136490d-48, 7.7790634681881d-33, 9.0300087329842d-26,
-     |   3.8023893935650d-21, 1.0080034591890d-17, 5.0739151589179d-15,
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-     |   1.4198582069067d-02, 4.9685750050120d-02, 1.4381197104418d-01,
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-     |   1.4403470086848d+00, 1.3622315787667d+00, 7.0547858820371d-01,
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-     |  -5.0739151589182d-15,-1.0080034591890d-17,-3.8023893935650d-21,
-     |  -9.0300087329842d-26,-7.7790634681881d-33,-4.3673797136490d-48/
-      data (pmn(lat,33,41), lat = 1,72)/
-     |   3.7264737706039d-50, 1.9948006165842d-34, 3.8731471086924d-27,
-     |   2.2956793441097d-22, 7.8818945509068d-19, 4.8942014664442d-16,
-     |   9.6350178890264d-14, 8.2667651315720d-12, 3.7668430176634d-10,
-     |   1.0391180830970d-08, 1.9007607882640d-07, 2.4616570434048d-06,
-     |   2.3692141227734d-05, 1.7574951077929d-04, 1.0330760406094d-03,
-     |   4.9142073304806d-03, 1.9215935116452d-02, 6.2453338235361d-02,
-     |   1.6984022956117d-01, 3.8724286427909d-01, 7.3733556991073d-01,
-     |   1.1571030572329d+00, 1.4508828930930d+00, 1.3446071174913d+00,
-     |   6.8717993216652d-01,-3.1167483148875d-01,-1.0687674449105d+00,
-     |  -1.0108559902108d+00,-1.3180635495058d-01, 8.3958747306483d-01,
-     |   1.0058079971165d+00, 1.8575031451429d-01,-8.1004986234849d-01,
-     |  -9.4962322944543d-01,-7.7616937319467d-02, 8.7374800978513d-01,
-     |   8.7374800978513d-01,-7.7616937319464d-02,-9.4962322944543d-01,
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-     |   1.3446071174913d+00, 1.4508828930930d+00, 1.1571030572329d+00,
-     |   7.3733556991074d-01, 3.8724286427909d-01, 1.6984022956117d-01,
-     |   6.2453338235362d-02, 1.9215935116452d-02, 4.9142073304806d-03,
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-     |   3.7668430176635d-10, 8.2667651315721d-12, 9.6350178890264d-14,
-     |   4.8942014664445d-16, 7.8818945509068d-19, 2.2956793441097d-22,
-     |   3.8731471086924d-27, 1.9948006165842d-34, 3.7264737706039d-50/
-      data (pmn(lat,34,41), lat = 1,72)/
-     |   2.9291673466238d-52, 4.7119887080841d-36, 1.5300255276864d-28,
-     |   1.2761802185997d-23, 5.6727143155773d-20, 4.3432229562612d-17,
-     |   1.0213967689467d-14, 1.0241746039163d-12, 5.3686822583802d-11,
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-     |   5.4094037048516d-06, 4.4626547562534d-05, 2.9131182974525d-04,
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-     |   7.4049072715530d-02, 1.9108512236459d-01, 4.1743697764424d-01,
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-     |   1.3501832000215d+00, 7.2236119111093d-01,-2.4584180300414d-01,
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-     |  -1.5300255276864d-28,-4.7119887080841d-36,-2.9291673466238d-52/
-      data (pmn(lat,35,41), lat = 1,72)/
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-     |   6.4862802647754d-25, 3.7315827856134d-21, 3.5212916445337d-18,
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-     |   6.9770383188047d-12, 1.1578823970065d-13, 9.8870798293304d-16,
-     |   3.5212916445339d-18, 3.7315827856134d-21, 6.4862802647754d-25,
-     |   5.5273807855462d-30, 1.0180345331453d-37, 2.1060913617828d-54/
-      data (pmn(lat,36,41), lat = 1,72)/
-     |   1.3719463404865d-56, 1.9925856790233d-39, 1.8087325205526d-31,
-     |   2.9855139719852d-26, 2.2223158766644d-22, 2.5836627391494d-19,
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-     |  -2.5836627391496d-19,-2.2223158766644d-22,-2.9855139719852d-26,
-     |  -1.8087325205526d-31,-1.9925856790233d-39,-1.3719463404865d-56/
-      data (pmn(lat,37,41), lat = 1,72)/
-     |   7.9892427854387d-59, 3.4861962517445d-41, 5.2899627155351d-33,
-     |   1.2279448737913d-27, 1.1823233919651d-23, 1.6929135167983d-20,
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-     |   3.4526406416401d-08, 3.8749483772710d-07, 3.4178999152722d-06,
-     |   2.4317187629975d-05, 1.4246341123816d-04, 6.9871418562939d-04,
-     |   2.9067990253247d-03, 1.0364352815797d-02, 3.1922879504269d-02,
-     |   8.5410958422575d-02, 1.9914835905332d-01, 4.0488998339791d-01,
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-     |   1.4913441619488d+00, 1.1721647310694d+00, 4.4696856842199d-01,
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-     |   1.0857872878542d+00, 3.9715663318127d-01,-5.4405975821706d-01,
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-     |   4.4696856842199d-01, 1.1721647310694d+00, 1.4913441619488d+00,
-     |   1.4110317974331d+00, 1.0913172349362d+00, 7.1573340902638d-01,
-     |   4.0488998339791d-01, 1.9914835905332d-01, 8.5410958422575d-02,
-     |   3.1922879504269d-02, 1.0364352815797d-02, 2.9067990253247d-03,
-     |   6.9871418562940d-04, 1.4246341123817d-04, 2.4317187629975d-05,
-     |   3.4178999152721d-06, 3.8749483772710d-07, 3.4526406416402d-08,
-     |   2.3393914610225d-09, 1.1553409717042d-10, 3.9341857964480d-12,
-     |   8.5742028152558d-14, 1.0790787393751d-15, 6.7664763366915d-18,
-     |   1.6929135167984d-20, 1.1823233919651d-23, 1.2279448737913d-27,
-     |   5.2899627155351d-33, 3.4861962517445d-41, 7.9892427854387d-59/
-      data (pmn(lat,38,41), lat = 1,72)/
-     |   4.0775587863733d-61, 5.3454800460262d-43, 1.3557459785457d-34,
-     |   4.4249255386894d-29, 5.5096622172697d-25, 9.7129613356124d-22,
-     |   4.6290421960695d-19, 8.6079800665606d-17, 7.8472161551702d-15,
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-     |   4.9753592781686d-09, 6.1688557520761d-08, 5.9941116158799d-07,
-     |   4.6893194754218d-06, 3.0181873516515d-05, 1.6263206693862d-04,
-     |   7.4407720551777d-04, 2.9236684930545d-03, 9.9559633066641d-03,
-     |   2.9590197272968d-02, 7.7154740245182d-02, 1.7706800693943d-01,
-     |   3.5807701639971d-01, 6.3713160605774d-01, 9.9229487221985d-01,
-     |   1.3375152779553d+00, 1.5244102740949d+00, 1.3936683578779d+00,
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-     |   4.4909929440754d-01, 1.1221742221815d+00, 1.2420920060900d+00,
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-     |  -9.7129613356131d-22,-5.5096622172697d-25,-4.4249255386894d-29,
-     |  -1.3557459785457d-34,-5.3454800460262d-43,-4.0775587863733d-61/
-      data (pmn(lat,39,41), lat = 1,72)/
-     |   1.7671479393444d-63, 6.9594601952125d-45, 2.9499141378516d-36,
-     |   1.3535191563940d-30, 2.1789353018287d-26, 4.7279190305153d-23,
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-     |   3.5846826391346d-14, 1.3267373661431d-12, 3.3378898301006d-11,
-     |   6.0545624937569d-10, 8.2832362718160d-09, 8.8536486021554d-08,
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-     |   1.5894281870073d-04, 6.8567018508294d-04, 2.5693943799963d-03,
-     |   8.4321492761292d-03, 2.4393383769567d-02, 6.2518248720334d-02,
-     |   1.4245321819135d-01, 2.8914462862235d-01, 5.2285822676989d-01,
-     |   8.4038967874789d-01, 1.1935681652825d+00, 1.4799331882187d+00,
-     |   1.5629630924811d+00, 1.3276257859118d+00, 7.5246595285745d-01,
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-     |  -1.2939721281975d+00,-8.1654758254752d-01,-4.3051648346526d-02,
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-     |   3.1684110994388d-05, 5.3652531013658d-06, 7.6031900261286d-07,
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-     |   3.3378898301006d-11, 1.3267373661431d-12, 3.5846826391347d-14,
-     |   6.0848867133438d-16, 5.8209861125003d-18, 2.6857221183793d-20,
-     |   4.7279190305156d-23, 2.1789353018287d-26, 1.3535191563940d-30,
-     |   2.9499141378516d-36, 6.9594601952125d-45, 1.7671479393444d-63/
-      data (pmn(lat,40,41), lat = 1,72)/
-     |   6.1347844034222d-66, 7.2576459787454d-47, 5.1407533865969d-38,
-     |   3.3154364644280d-32, 6.8990371995207d-28, 1.8420182706422d-24,
-     |   1.2467776271532d-21, 3.1482654165709d-19, 3.7718633243567d-17,
-     |   2.5155538599857d-15, 1.0441183181648d-13, 2.9244702899265d-12,
-     |   5.8723253196435d-11, 8.8550424692543d-10, 1.0398212328776d-08,
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-     |  -1.8420182706423d-24,-6.8990371995207d-28,-3.3154364644280d-32,
-     |  -5.1407533865969d-38,-7.2576459787454d-47,-6.1347844034222d-66/
-      data (pmn(lat,41,41), lat = 1,72)/
-     |   1.4782526622092d-68, 5.2531310604411d-49, 6.2173397676060d-40,
-     |   5.6352598020914d-34, 1.5154560530147d-29, 4.9775795987656d-26,
-     |   4.0131096900483d-23, 1.1801729991432d-20, 1.6198067822882d-18,
-     |   1.2223336418433d-16, 5.6861432725804d-15, 1.7717847639943d-13,
-     |   3.9351329905974d-12, 6.5339575573711d-11, 8.4196139711831d-10,
-     |   8.6745979176317d-09, 7.3201842757136d-08, 5.1605304223778d-07,
-     |   3.0894240601252d-06, 1.5922694896653d-05, 7.1469387238816d-05,
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-     |   3.0878332693828d-03, 9.8759810448196d-04, 2.8212057376328d-04,
-     |   7.1469387238818d-05, 1.5922694896653d-05, 3.0894240601253d-06,
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-     |   6.2173397676060d-40, 5.2531310604411d-49, 1.4782526622092d-68/
-      data (pmn(lat, 0,42), lat = 1,72)/
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-     |   1.6569323883711d-01,-8.7092755404154d-01, 3.2007149661263d-01,
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-      data (pmn(lat, 3,42), lat = 1,72)/
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-      data (pmn(lat, 4,42), lat = 1,72)/
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-      data (pmn(lat, 5,42), lat = 1,72)/
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-      data (pmn(lat, 6,42), lat = 1,72)/
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-      data (pmn(lat, 7,42), lat = 1,72)/
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-      data (pmn(lat, 8,42), lat = 1,72)/
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-      data (pmn(lat, 9,42), lat = 1,72)/
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-      data (pmn(lat,10,42), lat = 1,72)/
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-      data (pmn(lat,11,42), lat = 1,72)/
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-      data (pmn(lat,12,42), lat = 1,72)/
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-      data (pmn(lat,13,42), lat = 1,72)/
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-      data (pmn(lat,14,42), lat = 1,72)/
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-      data (pmn(lat,15,42), lat = 1,72)/
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-      data (pmn(lat,16,42), lat = 1,72)/
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-     |   1.0777568634780d-07, 3.6926528899631d-11, 9.4461152127374d-19/
-      data (pmn(lat,17,42), lat = 1,72)/
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-      data (pmn(lat,18,42), lat = 1,72)/
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-     |   1.6476271327329d-09, 1.9855765133032d-13, 5.5797887366157d-22/
-      data (pmn(lat,19,42), lat = 1,72)/
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-      data (pmn(lat,20,42), lat = 1,72)/
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-     |   1.9192735803403d-11, 8.1703193934523d-16, 2.5274457339187d-25/
-      data (pmn(lat,21,42), lat = 1,72)/
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-      data (pmn(lat,22,42), lat = 1,72)/
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-      data (pmn(lat,23,42), lat = 1,72)/
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-      data (pmn(lat,24,42), lat = 1,72)/
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-     |   3.2430738228412d-12, 1.0523008305809d-09, 9.4815566302857d-08,
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-      data (pmn(lat,25,42), lat = 1,72)/
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-      data (pmn(lat,26,42), lat = 1,72)/
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-      data (pmn(lat,27,42), lat = 1,72)/
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-      data (pmn(lat,28,42), lat = 1,72)/
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-      data (pmn(lat,29,42), lat = 1,72)/
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-      data (pmn(lat,30,42), lat = 1,72)/
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-      data (pmn(lat,31,42), lat = 1,72)/
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-      data (pmn(lat,32,42), lat = 1,72)/
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-     |   1.3730050179432d+00, 9.6772514069112d-01, 5.3996895773765d-01,
-     |   2.4451937771435d-01, 9.0671868834963d-02, 2.7530248573022d-02,
-     |   6.7991345585122d-03, 1.3490237219328d-03, 2.1111376352673d-04,
-     |   2.5404704643988d-05, 2.2716521221963d-06, 1.4413661528052d-07,
-     |   6.0940736656147d-09, 1.5726973549594d-10, 2.1827883545130d-12,
-     |   1.3455877288439d-14, 2.7068246681219d-17, 1.0312144329923d-20,
-     |   2.4670241596192d-25, 2.1356402700456d-32, 1.2019202912843d-47/
-      data (pmn(lat,33,42), lat = 1,72)/
-     |   1.0883038645835d-49, 5.8120424409355d-34, 1.1231576117703d-26,
-     |   6.6098489425226d-22, 2.2477551859172d-18, 1.3789318229503d-15,
-     |   2.6749838421709d-13, 2.2554171296841d-11, 1.0070323314649d-09,
-     |   2.7138065796560d-08, 4.8335390924039d-07, 6.0735476272386d-06,
-     |   5.6493080724143d-05, 4.0323905650158d-04, 2.2694606662427d-03,
-     |   1.0277026503511d-02, 3.7995315648635d-02, 1.1578084297362d-01,
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-     |   1.4074632915464d+00, 1.4211263714342d+00, 8.5079372988605d-01,
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-     |  -1.5413224845085d-01, 8.5291039213819d-01, 9.7120627455891d-01,
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-     |   2.2777655177722d-01, 9.9094971537799d-01, 5.5467917621106d-01,
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-     |   1.0427688969468d+00, 1.0208346936951d+00, 1.6383547836222d-01,
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-     |  -1.0376269818798d+00,-6.0882165537040d-01,-2.9206481838891d-01,
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-     |  -1.0070323314649d-09,-2.2554171296841d-11,-2.6749838421709d-13,
-     |  -1.3789318229504d-15,-2.2477551859172d-18,-6.6098489425226d-22,
-     |  -1.1231576117703d-26,-5.8120424409355d-34,-1.0883038645835d-49/
-      data (pmn(lat,34,42), lat = 1,72)/
-     |   9.1338181754613d-52, 1.4659492021611d-35, 4.7382733165943d-28,
-     |   3.9248923631110d-23, 1.7284985894897d-19, 1.3079579551760d-16,
-     |   3.0323945288422d-14, 2.9897594246578d-12, 1.5367627205935d-10,
-     |   4.7132952646158d-09, 9.4741019868177d-08, 1.3353575281446d-06,
-     |   1.3874326192508d-05, 1.1034120456587d-04, 6.9123659420687d-04,
-     |   3.4862446348340d-03, 1.4389029956928d-02, 4.9171948223090d-02,
-     |   1.4014865092061d-01, 3.3405319970408d-01, 6.6386921921960d-01,
-     |   1.0872862968180d+00, 1.4274363713268d+00, 1.4034704895334d+00,
-     |   8.1888420385975d-01,-1.7611486068982d-01,-1.0159450787427d+00,
-     |  -1.0697187246247d+00,-2.3956265433511d-01, 7.8174216623380d-01,
-     |   1.0364000004467d+00, 2.5235981108144d-01,-7.8072655984541d-01,
-     |  -9.6894551639304d-01,-1.0054639540312d-01, 8.7442008375061d-01,
-     |   8.7442008375061d-01,-1.0054639540311d-01,-9.6894551639304d-01,
-     |  -7.8072655984541d-01, 2.5235981108143d-01, 1.0364000004467d+00,
-     |   7.8174216623381d-01,-2.3956265433510d-01,-1.0697187246247d+00,
-     |  -1.0159450787427d+00,-1.7611486068983d-01, 8.1888420385975d-01,
-     |   1.4034704895334d+00, 1.4274363713268d+00, 1.0872862968180d+00,
-     |   6.6386921921961d-01, 3.3405319970408d-01, 1.4014865092061d-01,
-     |   4.9171948223090d-02, 1.4389029956928d-02, 3.4862446348341d-03,
-     |   6.9123659420686d-04, 1.1034120456587d-04, 1.3874326192508d-05,
-     |   1.3353575281446d-06, 9.4741019868177d-08, 4.7132952646159d-09,
-     |   1.5367627205935d-10, 2.9897594246579d-12, 3.0323945288422d-14,
-     |   1.3079579551761d-16, 1.7284985894897d-19, 3.9248923631110d-23,
-     |   4.7382733165943d-28, 1.4659492021611d-35, 9.1338181754613d-52/
-      data (pmn(lat,35,42), lat = 1,72)/
-     |   7.0668092907137d-54, 3.4083396155877d-37, 1.8423089441829d-29,
-     |   2.1474279027308d-24, 1.2243209622014d-20, 1.1422439770758d-17,
-     |   3.1631769794357d-15, 3.6443716127282d-13, 2.1547009452697d-11,
-     |   7.5136575674312d-10, 1.7024146621451d-08, 2.6876302085865d-07,
-     |   3.1136432241316d-06, 2.7529548837574d-05, 1.9143894407849d-04,
-     |   1.0716355093383d-03, 4.9157839351724d-03, 1.8727517755990d-02,
-     |   5.9816551788921d-02, 1.6109648213016d-01, 3.6639588959709d-01,
-     |   7.0113796570356d-01, 1.1156591501302d+00, 1.4368161503262d+00,
-     |   1.4035103710229d+00, 8.3775270873533d-01,-1.2594444078575d-01,
-     |  -9.7731406462362d-01,-1.1215564703951d+00,-3.9912652267802d-01,
-     |   6.3767161106581d-01, 1.0914774303346d+00, 5.3029691205744d-01,
-     |  -5.3075818501443d-01,-1.0622692249615d+00,-5.3221821415454d-01,
-     |   5.3221821415453d-01, 1.0622692249615d+00, 5.3075818501443d-01,
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-     |   3.9912652267802d-01, 1.1215564703951d+00, 9.7731406462363d-01,
-     |   1.2594444078575d-01,-8.3775270873533d-01,-1.4035103710229d+00,
-     |  -1.4368161503262d+00,-1.1156591501302d+00,-7.0113796570356d-01,
-     |  -3.6639588959709d-01,-1.6109648213016d-01,-5.9816551788922d-02,
-     |  -1.8727517755990d-02,-4.9157839351725d-03,-1.0716355093383d-03,
-     |  -1.9143894407849d-04,-2.7529548837574d-05,-3.1136432241317d-06,
-     |  -2.6876302085865d-07,-1.7024146621451d-08,-7.5136575674313d-10,
-     |  -2.1547009452698d-11,-3.6443716127283d-13,-3.1631769794357d-15,
-     |  -1.1422439770759d-17,-1.2243209622014d-20,-2.1474279027308d-24,
-     |  -1.8423089441829d-29,-3.4083396155877d-37,-7.0668092907137d-54/
-      data (pmn(lat,36,42), lat = 1,72)/
-     |   5.0045137168680d-56, 7.2527403997354d-39, 6.5550362748002d-31,
-     |   1.0749304917106d-25, 7.9315237882768d-22, 9.1197624519954d-19,
-     |   3.0150976208763d-16, 4.0567681497270d-14, 2.7568459737328d-12,
-     |   1.0920218086274d-10, 2.7859598438431d-09, 4.9199134598064d-08,
-     |   6.3453898455983d-07, 6.2253283158682d-06, 4.7941983630442d-05,
-     |   2.9699583794836d-04, 1.5085640510282d-03, 6.3764298308805d-03,
-     |   2.2679095932044d-02, 6.8407997115051d-02, 1.7579181828776d-01,
-     |   3.8520542640744d-01, 7.1701073333700d-01, 1.1211914205288d+00,
-     |   1.4368893162261d+00, 1.4246988837022d+00, 9.1309274595510d-01,
-     |  -2.3214825578700d-03,-8.8606693783793d-01,-1.1788498892972d+00,
-     |  -6.3338854781728d-01, 3.8234758071678d-01, 1.0737767867079d+00,
-     |   8.5505102827923d-01,-1.0177929049713d-01,-9.6357225275198d-01,
-     |  -9.6357225275198d-01,-1.0177929049713d-01, 8.5505102827923d-01,
-     |   1.0737767867079d+00, 3.8234758071678d-01,-6.3338854781728d-01,
-     |  -1.1788498892972d+00,-8.8606693783793d-01,-2.3214825578734d-03,
-     |   9.1309274595509d-01, 1.4246988837022d+00, 1.4368893162261d+00,
-     |   1.1211914205288d+00, 7.1701073333700d-01, 3.8520542640744d-01,
-     |   1.7579181828776d-01, 6.8407997115051d-02, 2.2679095932044d-02,
-     |   6.3764298308805d-03, 1.5085640510282d-03, 2.9699583794837d-04,
-     |   4.7941983630441d-05, 6.2253283158681d-06, 6.3453898455985d-07,
-     |   4.9199134598064d-08, 2.7859598438431d-09, 1.0920218086274d-10,
-     |   2.7568459737329d-12, 4.0567681497270d-14, 3.0150976208763d-16,
-     |   9.1197624519960d-19, 7.9315237882768d-22, 1.0749304917106d-25,
-     |   6.5550362748002d-31, 7.2527403997354d-39, 5.0045137168680d-56/
-      data (pmn(lat,37,42), lat = 1,72)/
-     |   3.2128491386591d-58, 1.3990128832625d-40, 2.1139182713801d-32,
-     |   4.8758608794279d-27, 4.6548146885646d-23, 6.5937393647650d-20,
-     |   2.6013710559202d-17, 4.0852222699888d-15, 3.1887482387228d-13,
-     |   1.4336366173973d-11, 4.1142334067277d-10, 8.1179126510311d-09,
-     |   1.1639682701441d-07, 1.2649974566408d-06, 1.0766664413865d-05,
-     |   7.3628879163451d-05, 4.1283897057905d-04, 1.9284797632522d-03,
-     |   7.5991316132117d-03, 2.5499098608794d-02, 7.3347280104481d-02,
-     |   1.8155579523491d-01, 3.8698966697900d-01, 7.0789831908304d-01,
-     |   1.1006385066100d+00, 1.4243622294098d+00, 1.4638545433827d+00,
-     |   1.0459318826766d+00, 2.0903010147593d-01,-7.0795165309997d-01,
-     |  -1.1969509436730d+00,-9.1993026997813d-01,-2.2589794508696d-02,
-     |   8.7932938601742d-01, 1.1180355095596d+00, 5.0167955426216d-01,
-     |  -5.0167955426216d-01,-1.1180355095596d+00,-8.7932938601743d-01,
-     |   2.2589794508693d-02, 9.1993026997812d-01, 1.1969509436730d+00,
-     |   7.0795165309997d-01,-2.0903010147593d-01,-1.0459318826766d+00,
-     |  -1.4638545433827d+00,-1.4243622294098d+00,-1.1006385066100d+00,
-     |  -7.0789831908304d-01,-3.8698966697900d-01,-1.8155579523491d-01,
-     |  -7.3347280104482d-02,-2.5499098608794d-02,-7.5991316132118d-03,
-     |  -1.9284797632522d-03,-4.1283897057906d-04,-7.3628879163452d-05,
-     |  -1.0766664413864d-05,-1.2649974566408d-06,-1.1639682701442d-07,
-     |  -8.1179126510311d-09,-4.1142334067277d-10,-1.4336366173973d-11,
-     |  -3.1887482387229d-13,-4.0852222699889d-15,-2.6013710559202d-17,
-     |  -6.5937393647655d-20,-4.6548146885646d-23,-4.8758608794279d-27,
-     |  -2.1139182713801d-32,-1.3990128832625d-40,-3.2128491386591d-58/
-      data (pmn(lat,38,42), lat = 1,72)/
-     |   1.8449063677506d-60, 2.4136233612855d-42, 6.0964116395505d-34,
-     |   1.9774753424259d-28, 2.4418683486234d-24, 4.2599685116125d-21,
-     |   2.0046833328389d-18, 3.6725673500305d-16, 3.2906157021981d-14,
-     |   1.6779329592396d-12, 5.4118859288498d-11, 1.1918541944701d-09,
-     |   1.8974749476861d-08, 2.2809963731816d-07, 2.1418033851002d-06,
-     |   1.6133969845433d-05, 9.9596497723426d-05, 5.1247490294042d-04,
-     |   2.2280245729549d-03, 8.2724285464044d-03, 2.6446499448209d-02,
-     |   7.3226414302466d-02, 1.7621801475164d-01, 3.6888075460962d-01,
-     |   6.7000982230607d-01, 1.0480510462226d+00, 1.3892404243202d+00,
-     |   1.5074675699587d+00, 1.2270899210765d+00, 5.1977730809476d-01,
-     |  -3.9420828169739d-01,-1.0932611815370d+00,-1.1817533070036d+00,
-     |  -5.7447067701390d-01, 3.8193029982460d-01, 1.0894253843297d+00,
-     |   1.0894253843297d+00, 3.8193029982460d-01,-5.7447067701390d-01,
-     |  -1.1817533070036d+00,-1.0932611815370d+00,-3.9420828169739d-01,
-     |   5.1977730809476d-01, 1.2270899210765d+00, 1.5074675699587d+00,
-     |   1.3892404243202d+00, 1.0480510462226d+00, 6.7000982230607d-01,
-     |   3.6888075460962d-01, 1.7621801475164d-01, 7.3226414302466d-02,
-     |   2.6446499448209d-02, 8.2724285464044d-03, 2.2280245729550d-03,
-     |   5.1247490294042d-04, 9.9596497723427d-05, 1.6133969845433d-05,
-     |   2.1418033851002d-06, 2.2809963731816d-07, 1.8974749476862d-08,
-     |   1.1918541944701d-09, 5.4118859288498d-11, 1.6779329592397d-12,
-     |   3.2906157021982d-14, 3.6725673500305d-16, 2.0046833328389d-18,
-     |   4.2599685116128d-21, 2.4418683486234d-24, 1.9774753424259d-28,
-     |   6.0964116395505d-34, 2.4136233612855d-42, 1.8449063677506d-60/
-      data (pmn(lat,39,42), lat = 1,72)/
-     |   9.2900205637572d-63, 3.6513238308383d-44, 1.5414960241190d-35,
-     |   7.0303212315065d-30, 1.1226401339940d-25, 2.4112566774311d-22,
-     |   1.3529532517479d-19, 2.8900948539958d-17, 2.9708191813518d-15,
-     |   1.7169577409720d-13, 6.2188702590367d-12, 1.5271999078904d-10,
-     |   2.6966295742953d-09, 3.5809359681963d-08, 3.7036701034886d-07,
-     |   3.0673978595368d-06, 2.0799533444726d-05, 1.1756183760215d-04,
-     |   5.6196953629376d-04, 2.2987298597252d-03, 8.1220525284840d-03,
-     |   2.4970169575137d-02, 6.7157514111834d-02, 1.5855840109814d-01,
-     |   3.2907266800854d-01, 5.9959530379972d-01, 9.5445671095015d-01,
-     |   1.3130133440007d+00, 1.5264725749460d+00, 1.4262849743020d+00,
-     |   9.2266084764830d-01, 1.0396691644404d-01,-7.4287697978386d-01,
-     |  -1.2426727971376d+00,-1.1365666431359d+00,-4.5705381972625d-01,
-     |   4.5705381972625d-01, 1.1365666431359d+00, 1.2426727971376d+00,
-     |   7.4287697978387d-01,-1.0396691644403d-01,-9.2266084764830d-01,
-     |  -1.4262849743020d+00,-1.5264725749460d+00,-1.3130133440007d+00,
-     |  -9.5445671095015d-01,-5.9959530379972d-01,-3.2907266800854d-01,
-     |  -1.5855840109814d-01,-6.7157514111834d-02,-2.4970169575137d-02,
-     |  -8.1220525284842d-03,-2.2987298597252d-03,-5.6196953629377d-04,
-     |  -1.1756183760215d-04,-2.0799533444726d-05,-3.0673978595368d-06,
-     |  -3.7036701034886d-07,-3.5809359681963d-08,-2.6966295742954d-09,
-     |  -1.5271999078904d-10,-6.2188702590367d-12,-1.7169577409721d-13,
-     |  -2.9708191813519d-15,-2.8900948539959d-17,-1.3529532517479d-19,
-     |  -2.4112566774313d-22,-1.1226401339940d-25,-7.0303212315065d-30,
-     |  -1.5414960241190d-35,-3.6513238308383d-44,-9.2900205637572d-63/
-      data (pmn(lat,40,42), lat = 1,72)/
-     |   3.9742553317697d-65, 4.6925025482032d-46, 3.3108277386501d-37,
-     |   2.1227233328131d-31, 4.3824318113405d-27, 1.1585405387592d-23,
-     |   7.7480951259909d-21, 1.9290385394790d-18, 2.2737158768819d-16,
-     |   1.4884637219893d-14, 6.0499663281228d-13, 1.6553003244057d-11,
-     |   3.2384648717379d-10, 4.7449137845570d-09, 5.3980732427818d-08,
-     |   4.9071905334645d-07, 3.6478430337188d-06, 2.2594071703767d-05,
-     |   1.1840588966026d-04, 5.3167399316682d-04, 2.0668096814853d-03,
-     |   7.0144683769459d-03, 2.0924413770549d-02, 5.5148039101619d-02,
-     |   1.2889175148439d-01, 2.6770063058052d-01, 4.9421189441798d-01,
-     |   8.0925157150157d-01, 1.1686433999942d+00, 1.4709208992333d+00,
-     |   1.5752031205060d+00, 1.3575133604607d+00, 7.8760251012459d-01,
-     |  -1.7528426898358d-02,-8.0878630044035d-01,-1.2998625206362d+00,
-     |  -1.2998625206362d+00,-8.0878630044035d-01,-1.7528426898361d-02,
-     |   7.8760251012458d-01, 1.3575133604607d+00, 1.5752031205060d+00,
-     |   1.4709208992333d+00, 1.1686433999942d+00, 8.0925157150157d-01,
-     |   4.9421189441798d-01, 2.6770063058052d-01, 1.2889175148439d-01,
-     |   5.5148039101619d-02, 2.0924413770549d-02, 7.0144683769459d-03,
-     |   2.0668096814854d-03, 5.3167399316682d-04, 1.1840588966026d-04,
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-     |   5.3980732427817d-08, 4.7449137845570d-09, 3.2384648717380d-10,
-     |   1.6553003244057d-11, 6.0499663281228d-13, 1.4884637219893d-14,
-     |   2.2737158768820d-16, 1.9290385394790d-18, 7.7480951259909d-21,
-     |   1.1585405387592d-23, 4.3824318113405d-27, 2.1227233328131d-31,
-     |   3.3108277386501d-37, 4.6925025482032d-46, 3.9742553317697d-65/
-      data (pmn(lat,41,42), lat = 1,72)/
-     |   1.3625572849176d-67, 4.8327779845328d-48, 5.6980343516695d-39,
-     |   5.1349856040310d-33, 1.3703349956854d-28, 4.4575874856328d-25,
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-     |  -5.6980343516695d-39,-4.8327779845328d-48,-1.3625572849176d-67/
-      data (pmn(lat,42,42), lat = 1,72)/
-     |   3.2439295824671d-70, 3.4561022578655d-50, 6.8087937290122d-41,
-     |   8.6234241341680d-35, 2.9740542899816d-30, 1.1901218778472d-26,
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-     |   7.6515136317010d-03, 1.9867492570516d-02, 4.6702765174987d-02,
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-     |   6.8087937290122d-41, 3.4561022578655d-50, 3.2439295824671d-70/
-      data (pmn(lat, 0,43), lat = 1,72)/
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-     |   1.6934216373516d+00, 1.3457807544985d+00,-5.1920925136810d+00/
-      data (pmn(lat, 1,43), lat = 1,72)/
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-     |  -1.9025146323810d+00, 2.5989910410870d+00, 2.7902297197170d+00/
-      data (pmn(lat, 2,43), lat = 1,72)/
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-     |  -8.9514155879413d-01,-3.1707011975362d+00,-6.8794317803390d-01/
-      data (pmn(lat, 3,43), lat = 1,72)/
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-     |   2.6573596779084d+00, 1.8539454971127d+00, 1.1073815294924d-01/
-      data (pmn(lat, 4,43), lat = 1,72)/
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-     |  -2.4611003793637d+00,-7.3841520227681d-01,-1.3244781402917d-02/
-      data (pmn(lat, 5,43), lat = 1,72)/
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-      data (pmn(lat, 6,43), lat = 1,72)/
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-      data (pmn(lat, 8,43), lat = 1,72)/
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-      data (pmn(lat, 9,43), lat = 1,72)/
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-      data (pmn(lat,10,43), lat = 1,72)/
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-      data (pmn(lat,11,43), lat = 1,72)/
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-      data (pmn(lat,12,43), lat = 1,72)/
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-      data (pmn(lat,13,43), lat = 1,72)/
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-      data (pmn(lat,14,43), lat = 1,72)/
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-      data (pmn(lat,15,43), lat = 1,72)/
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-      data (pmn(lat,16,43), lat = 1,72)/
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-      data (pmn(lat,17,43), lat = 1,72)/
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-      data (pmn(lat,18,43), lat = 1,72)/
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-      data (pmn(lat,19,43), lat = 1,72)/
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-      data (pmn(lat,20,43), lat = 1,72)/
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-      data (pmn(lat,21,43), lat = 1,72)/
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-      data (pmn(lat,22,43), lat = 1,72)/
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-      data (pmn(lat,24,43), lat = 1,72)/
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-      data (pmn(lat,25,43), lat = 1,72)/
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-      data (pmn(lat,26,43), lat = 1,72)/
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-      data (pmn(lat,27,43), lat = 1,72)/
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-      data (pmn(lat,28,43), lat = 1,72)/
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-      data (pmn(lat,29,43), lat = 1,72)/
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-      data (pmn(lat,30,43), lat = 1,72)/
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-      data (pmn(lat,31,43), lat = 1,72)/
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-      data (pmn(lat,32,43), lat = 1,72)/
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-      data (pmn(lat,33,43), lat = 1,72)/
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-      data (pmn(lat,34,43), lat = 1,72)/
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-      data (pmn(lat,35,43), lat = 1,72)/
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-      data (pmn(lat,36,43), lat = 1,72)/
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-      data (pmn(lat,37,43), lat = 1,72)/
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-     |   2.3566965186412d-19, 1.6821373322506d-22, 1.7774950118459d-26,
-     |   7.7566762609309d-32, 5.1556995520642d-40, 1.1865687283122d-57/
-      data (pmn(lat,38,43), lat = 1,72)/
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-     |   7.9488838458667d-28, 9.7324096818412d-24, 1.6797609403873d-20,
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-     |  -2.4661847989632d-33,-9.8050680640801d-42,-7.5104858770632d-60/
-      data (pmn(lat,39,43), lat = 1,72)/
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-     |   3.1800347990214d-29, 5.0361203038679d-25, 1.0704465598067d-21,
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-     |   7.0159269924016d-35, 1.6686936516278d-43, 4.2543444806852d-62/
-      data (pmn(lat,40,43), lat = 1,72)/
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-     |   1.1158009338902d-30, 2.2850629988269d-26, 5.9796647344016d-23,
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-     |  -1.7508505638812d-36,-2.4914761543332d-45,-2.1143454323239d-64/
-      data (pmn(lat,41,43), lat = 1,72)/
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-     |   3.3266519564099d-32, 8.8078697761744d-28, 2.8368553803649d-24,
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-     |   5.8307474723071d-03, 1.7935147900829d-02, 4.8609423180992d-02,
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-     |   3.7132043820247d-38, 3.1616849135084d-47, 8.9314866712052d-67/
-      data (pmn(lat,42,43), lat = 1,72)/
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-     |   7.9497816000630d-34, 2.7207112835178d-29, 1.0782594276198d-25,
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-      data (pmn(lat,43,43), lat = 1,72)/
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-     |   1.3194293231435d-35, 5.8357276895090d-31, 2.8451505036975d-27,
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-     |   7.4554924438106d-42, 2.2735028982836d-51, 7.1176191735003d-72/
-      data (pmn(lat, 0,44), lat = 1,72)/
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-      data (pmn(lat, 1,44), lat = 1,72)/
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-      data (pmn(lat, 2,44), lat = 1,72)/
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-      data (pmn(lat, 3,44), lat = 1,72)/
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-      data (pmn(lat, 4,44), lat = 1,72)/
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-      data (pmn(lat, 5,44), lat = 1,72)/
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-      data (pmn(lat, 6,44), lat = 1,72)/
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-      data (pmn(lat, 7,44), lat = 1,72)/
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-      data (pmn(lat, 8,44), lat = 1,72)/
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-      data (pmn(lat, 9,44), lat = 1,72)/
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-      data (pmn(lat,10,44), lat = 1,72)/
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-      data (pmn(lat,11,44), lat = 1,72)/
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-      data (pmn(lat,12,44), lat = 1,72)/
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-      data (pmn(lat,13,44), lat = 1,72)/
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-      data (pmn(lat,14,44), lat = 1,72)/
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-      data (pmn(lat,15,44), lat = 1,72)/
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-      data (pmn(lat,16,44), lat = 1,72)/
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-      data (pmn(lat,17,44), lat = 1,72)/
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-     |  -3.1320101414276d-08,-6.4809813445452d-12,-5.5444001117910d-20/
-      data (pmn(lat,18,44), lat = 1,72)/
-     |   1.3757320687862d-21, 4.8528327461778d-13, 3.9559182000278d-09,
-     |   1.2676523116236d-06, 7.9165746775127d-05, 1.7810983379527d-03,
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-     |  -9.3353587551278d-01,-8.8715490596694d-02, 9.1860033051082d-01,
-     |  -1.6616448122361d-01,-8.4000638460138d-01, 4.2922968291355d-01,
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-     |   9.1860033051082d-01,-8.8715490596694d-02,-9.3353587551278d-01,
-     |   3.0071227371520d-01, 9.2621016155535d-01,-4.4354304633372d-01,
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-     |   1.2601043136368d+00, 1.6897365690541d+00, 1.1229203888474d+00,
-     |   4.6012529914243d-01, 1.2022495206388d-01, 1.9416770205915d-02,
-     |   1.7810983379528d-03, 7.9165746775127d-05, 1.2676523116236d-06,
-     |   3.9559182000278d-09, 4.8528327461778d-13, 1.3757320687862d-21/
-      data (pmn(lat,19,44), lat = 1,72)/
-     |   3.1987574655379d-23, 3.4030971078872d-14, 4.6739779199375d-10,
-     |   2.1324352491174d-07, 1.7530491547931d-05, 4.9749559207317d-04,
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-     |   2.4796130996966d-01, 1.1198634801136d+00,-3.2184744791812d-02,
-     |  -1.0448727834407d+00, 2.0805713592171d-02, 9.8552984118614d-01,
-     |  -1.2367449870031d-01,-9.2267663494115d-01, 2.9095810110375d-01,
-     |   8.2561296418262d-01,-4.8437341625424d-01,-6.7146676562627d-01,
-     |   6.6596630896604d-01, 4.5267090462404d-01,-7.9800738769812d-01,
-     |  -1.7975907601829d-01, 8.4849760173967d-01,-1.2007752243335d-01,
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-     |  -6.4567125852263d-01,-4.0867213274931d-01, 7.9816883115142d-01,
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-     |   7.9800738769813d-01,-4.5267090462403d-01,-6.6596630896605d-01,
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-     |  -2.9095810110375d-01, 9.2267663494115d-01, 1.2367449870031d-01,
-     |  -9.8552984118614d-01,-2.0805713592176d-02, 1.0448727834407d+00,
-     |   3.2184744791816d-02,-1.1198634801136d+00,-2.4796130996967d-01,
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-     |  -4.9749559207318d-04,-1.7530491547931d-05,-2.1324352491174d-07,
-     |  -4.6739779199375d-10,-3.4030971078872d-14,-3.1987574655379d-23/
-      data (pmn(lat,20,44), lat = 1,72)/
-     |   6.9828019767498d-25, 2.2394728875261d-15, 5.1770765216699d-11,
-     |   3.3574807427101d-08, 3.6248223209888d-06, 1.2931707535379d-04,
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-     |   8.5840876312478d-01,-4.9592437120869d-01,-7.6171487437597d-01,
-     |   5.9842554914033d-01, 6.2299971847615d-01,-7.1497670110866d-01,
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-     |   5.4611241944991d-01,-7.2501066867107d-01,-3.1250636294787d-01,
-     |   8.3030455490646d-01, 5.1733039473176d-02,-8.5608996865113d-01,
-     |   2.0641061074176d-01, 8.1071537545978d-01,-4.3656966893254d-01,
-     |  -7.1497670110867d-01, 6.2299971847615d-01, 5.9842554914034d-01,
-     |  -7.6171487437597d-01,-4.9592437120869d-01, 8.5840876312478d-01,
-     |   4.4716047783088d-01,-9.1981055128534d-01,-5.0145647022346d-01,
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-     |   1.0943584368154d-01, 1.9432814486377d-02, 2.1287675297098d-03,
-     |   1.2931707535379d-04, 3.6248223209888d-06, 3.3574807427101d-08,
-     |   5.1770765216699d-11, 2.2394728875261d-15, 6.9828019767498d-25/
-      data (pmn(lat,21,44), lat = 1,72)/
-     |   1.4334051774087d-26, 1.3852504332309d-16, 5.3854347443053d-12,
-     |   4.9578672530339d-09, 7.0154568361574d-07, 3.1374337345643d-05,
-     |   6.3059930244384d-04, 6.9246376656140d-03, 4.6629228019147d-02,
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-     |   7.6267968175800d-01, 5.9884348641215d-01,-7.6277304506912d-01,
-     |  -5.0364082240492d-01, 8.0168739748483d-01, 3.6141577920215d-01,
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-     |  -3.0103481797076d-02,-8.4888549036857d-01, 2.5103136938612d-01,
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-     |  -2.5103136938612d-01, 8.4888549036857d-01, 3.0103481797073d-02,
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-     |  -3.6141577920215d-01,-8.0168739748483d-01, 5.0364082240491d-01,
-     |   7.6277304506913d-01,-5.9884348641215d-01,-7.6267968175800d-01,
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-     |  -3.1374337345644d-05,-7.0154568361574d-07,-4.9578672530339d-09,
-     |  -5.3854347443053d-12,-1.3852504332309d-16,-1.4334051774087d-26/
-      data (pmn(lat,22,44), lat = 1,72)/
-     |   2.7705062074910d-28, 8.0650217585103d-18, 5.2690101540523d-13,
-     |   6.8775944170016d-10, 1.2733433593279d-07, 7.1216627638156d-06,
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-     |   9.6123351005606d-02, 3.4547603005206d-01, 8.6326462778448d-01,
-     |   1.4681799492218d+00, 1.5315628934085d+00, 5.3568781416318d-01,
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-     |   1.0986495668725d+00, 1.4022993797709d-01,-1.0023696647222d+00,
-     |  -2.6737136413602d-01, 9.3407776596544d-01, 2.7322140284056d-01,
-     |  -9.0450275413013d-01,-2.0537908984591d-01, 8.9622891868230d-01,
-     |   8.7757889952571d-02,-8.8762273182218d-01, 6.3829483141493d-02,
-     |   8.5991155892917d-01,-2.3446600668973d-01,-8.0006198195617d-01,
-     |   4.0813929160139d-01, 7.0232918360401d-01,-5.6871272376983d-01,
-     |  -5.6871272376983d-01, 7.0232918360401d-01, 4.0813929160139d-01,
-     |  -8.0006198195617d-01,-2.3446600668973d-01, 8.5991155892917d-01,
-     |   6.3829483141499d-02,-8.8762273182218d-01, 8.7757889952567d-02,
-     |   8.9622891868230d-01,-2.0537908984590d-01,-9.0450275413013d-01,
-     |   2.7322140284056d-01, 9.3407776596544d-01,-2.6737136413602d-01,
-     |  -1.0023696647222d+00, 1.4022993797708d-01, 1.0986495668725d+00,
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-     |   5.3568781416318d-01, 1.5315628934085d+00, 1.4681799492218d+00,
-     |   8.6326462778448d-01, 3.4547603005206d-01, 9.6123351005608d-02,
-     |   1.8318553102335d-02, 2.2903872168284d-03, 1.7419555847243d-04,
-     |   7.1216627638159d-06, 1.2733433593279d-07, 6.8775944170016d-10,
-     |   5.2690101540523d-13, 8.0650217585103d-18, 2.7705062074910d-28/
-      data (pmn(lat,23,44), lat = 1,72)/
-     |   5.0470791461804d-30, 4.4242243621374d-19, 4.8541190487719d-14,
-     |   8.9744427819696d-11, 2.1708376593297d-08, 1.5153091451666d-06,
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-     |   1.1090204447685d+00, 1.5804615991894d+00, 1.2761041393935d+00,
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-     |  -9.9865658407794d-01, 1.0756999717776d-01, 9.6408331386733d-01,
-     |  -5.7599095682478d-02,-9.2963895308673d-01, 8.5175009049784d-02,
-     |   8.9803696932057d-01,-1.6291974292587d-01,-8.6065763062598d-01,
-     |   2.7170040624560d-01, 8.0801251542590d-01,-3.9587678130024d-01,
-     |  -7.3391168480116d-01, 5.2160457000444d-01, 6.3711601800402d-01,
-     |  -6.3711601800402d-01,-5.2160457000445d-01, 7.3391168480116d-01,
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-     |  -6.6659011796346d-03,-7.0547704535983d-04,-4.4981458991749d-05,
-     |  -1.5153091451666d-06,-2.1708376593297d-08,-8.9744427819696d-11,
-     |  -4.8541190487719d-14,-4.4242243621374d-19,-5.0470791461804d-30/
-      data (pmn(lat,24,44), lat = 1,72)/
-     |   8.6723782850569d-32, 2.2885788108922d-20, 4.2144636933136d-15,
-     |   1.1026593454193d-11, 3.4803221125921d-09, 3.0267422253559d-07,
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-     |   1.6309754919943d-02, 8.1216570214246d-02, 2.8766286128937d-01,
-     |   7.3308896981796d-01, 1.3232524780267d+00, 1.5743059725744d+00,
-     |   9.0855662444240d-01,-4.5818526694382d-01,-1.2096083814885d+00,
-     |  -3.8808874251818d-01, 9.1583349770048d-01, 7.4683370169300d-01,
-     |  -6.1971058218191d-01,-8.6150935193160d-01, 4.3455145400570d-01,
-     |   8.8048933697308d-01,-3.4940197225765d-01,-8.6492812528916d-01,
-     |   3.3595064285039d-01, 8.3448514898199d-01,-3.7021710733051d-01,
-     |  -7.9272083934723d-01, 4.3385967208544d-01, 7.3867503476032d-01,
-     |  -5.1250217679051d-01,-6.7193514945862d-01, 5.9472271697141d-01,
-     |   5.9472271697141d-01,-6.7193514945862d-01,-5.1250217679051d-01,
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-     |  -8.6492812528916d-01,-3.4940197225765d-01, 8.8048933697308d-01,
-     |   4.3455145400570d-01,-8.6150935193160d-01,-6.1971058218191d-01,
-     |   7.4683370169299d-01, 9.1583349770049d-01,-3.8808874251817d-01,
-     |  -1.2096083814885d+00,-4.5818526694383d-01, 9.0855662444240d-01,
-     |   1.5743059725744d+00, 1.3232524780267d+00, 7.3308896981796d-01,
-     |   2.8766286128937d-01, 8.1216570214246d-02, 1.6309754919943d-02,
-     |   2.2547004971927d-03, 2.0286857455859d-04, 1.0878409719973d-05,
-     |   3.0267422253560d-07, 3.4803221125921d-09, 1.1026593454193d-11,
-     |   4.2144636933136d-15, 2.2885788108922d-20, 8.6723782850569d-32/
-      data (pmn(lat,25,44), lat = 1,72)/
-     |   1.4062736922242d-33, 1.1169200865316d-21, 3.4505173079099d-16,
-     |   1.2765702695675d-12, 5.2516793504915d-10, 5.6817363570576d-08,
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-     |   4.3285438214479d-01, 9.5117826958795d-01, 1.4761732186206d+00,
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-     |  -1.1156441953924d+00, 2.9334330325829d-02, 1.0572356270239d+00,
-     |   4.2875045053836d-01,-8.5322154043080d-01,-6.3998548181487d-01,
-     |   6.8275302902518d-01, 7.2302897528601d-01,-5.7839412269965d-01,
-     |  -7.4471415236333d-01, 5.3174617311709d-01, 7.3606735788764d-01,
-     |  -5.2702685365162d-01,-7.1043506235711d-01, 5.4960730545369d-01,
-     |   6.7404219742491d-01,-5.8750446437798d-01,-6.3133392433646d-01,
-     |   6.3133392433645d-01, 5.8750446437798d-01,-6.7404219742491d-01,
-     |  -5.4960730545369d-01, 7.1043506235710d-01, 5.2702685365162d-01,
-     |  -7.3606735788764d-01,-5.3174617311710d-01, 7.4471415236333d-01,
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-     |   6.3998548181487d-01, 8.5322154043080d-01,-4.2875045053836d-01,
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-     |  -1.4761732186206d+00,-9.5117826958794d-01,-4.3285438214480d-01,
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-     |  -5.6817363570578d-08,-5.2516793504915d-10,-1.2765702695675d-12,
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-      data (pmn(lat,26,44), lat = 1,72)/
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-      data (pmn(lat,27,44), lat = 1,72)/
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-      data (pmn(lat,28,44), lat = 1,72)/
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-      data (pmn(lat,29,44), lat = 1,72)/
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-      data (pmn(lat,30,44), lat = 1,72)/
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-      data (pmn(lat,31,44), lat = 1,72)/
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-      data (pmn(lat,32,44), lat = 1,72)/
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-      data (pmn(lat,33,44), lat = 1,72)/
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-      data (pmn(lat,34,44), lat = 1,72)/
-     |   7.6304889097589d-51, 1.2188793361388d-34, 3.9023956684927d-27,
-     |   3.1864502360211d-22, 1.3764835466756d-18, 1.0165092358902d-15,
-     |   2.2878683043520d-13, 2.1778026777053d-11, 1.0744983063499d-09,
-     |   3.1438229153947d-08, 5.9885518212592d-07, 7.9413418951138d-06,
-     |   7.7012606672639d-05, 5.6659076841418d-04, 3.2503342918060d-03,
-     |   1.4835095103475d-02, 5.4632262056444d-02, 1.6368720695808d-01,
-     |   3.9987292884694d-01, 7.9182255293821d-01, 1.2471595675987d+00,
-     |   1.4910223261412d+00, 1.1822856667751d+00, 2.5288922808972d-01,
-     |  -8.0215272212639d-01,-1.1500433139797d+00,-4.1702778320360d-01,
-     |   7.1373716479185d-01, 1.0262132773848d+00, 1.3897420241990d-01,
-     |  -8.9614994671225d-01,-7.8148376437429d-01, 3.4495076180715d-01,
-     |   1.0000998931884d+00, 3.0131277901480d-01,-8.0461994473503d-01,
-     |  -8.0461994473503d-01, 3.0131277901480d-01, 1.0000998931884d+00,
-     |   3.4495076180716d-01,-7.8148376437429d-01,-8.9614994671225d-01,
-     |   1.3897420241990d-01, 1.0262132773848d+00, 7.1373716479186d-01,
-     |  -4.1702778320360d-01,-1.1500433139797d+00,-8.0215272212639d-01,
-     |   2.5288922808972d-01, 1.1822856667751d+00, 1.4910223261412d+00,
-     |   1.2471595675987d+00, 7.9182255293822d-01, 3.9987292884694d-01,
-     |   1.6368720695808d-01, 5.4632262056444d-02, 1.4835095103475d-02,
-     |   3.2503342918060d-03, 5.6659076841418d-04, 7.7012606672640d-05,
-     |   7.9413418951138d-06, 5.9885518212592d-07, 3.1438229153947d-08,
-     |   1.0744983063499d-09, 2.1778026777054d-11, 2.2878683043520d-13,
-     |   1.0165092358903d-15, 1.3764835466756d-18, 3.1864502360211d-22,
-     |   3.9023956684927d-27, 1.2188793361388d-34, 7.6304889097589d-51/
-      data (pmn(lat,35,44), lat = 1,72)/
-     |   6.6858049776061d-53, 3.2097584670982d-36, 1.7190061659368d-28,
-     |   1.9759653764988d-23, 1.1056611016094d-19, 1.0074339747977d-16,
-     |   2.7108458924640d-14, 3.0187589392054d-12, 1.7155497113302d-10,
-     |   5.7163930907006d-09, 1.2298674055788d-07, 1.8311932996604d-06,
-     |   1.9860117198741d-05, 1.6303917153652d-04, 1.0430185282277d-03,
-     |   5.3148000233719d-03, 2.1920001364069d-02, 7.3974509880250d-02,
-     |   2.0547018327950d-01, 4.6976941710533d-01, 8.7723578770537d-01,
-     |   1.3098942117611d+00, 1.4860188162092d+00, 1.1008645238418d+00,
-     |   1.4724225557483d-01,-8.5959532109113d-01,-1.1434473125079d+00,
-     |  -3.9904882767826d-01, 7.0935096138934d-01, 1.0458464922471d+00,
-     |   2.2096562649402d-01,-8.4171013018588d-01,-8.8461247025537d-01,
-     |   1.5422967351340d-01, 9.9167878244185d-01, 5.7318140799733d-01,
-     |  -5.7318140799733d-01,-9.9167878244185d-01,-1.5422967351341d-01,
-     |   8.8461247025537d-01, 8.4171013018588d-01,-2.2096562649403d-01,
-     |  -1.0458464922471d+00,-7.0935096138934d-01, 3.9904882767826d-01,
-     |   1.1434473125079d+00, 8.5959532109114d-01,-1.4724225557483d-01,
-     |  -1.1008645238418d+00,-1.4860188162092d+00,-1.3098942117611d+00,
-     |  -8.7723578770538d-01,-4.6976941710533d-01,-2.0547018327950d-01,
-     |  -7.3974509880250d-02,-2.1920001364069d-02,-5.3148000233720d-03,
-     |  -1.0430185282277d-03,-1.6303917153652d-04,-1.9860117198742d-05,
-     |  -1.8311932996604d-06,-1.2298674055788d-07,-5.7163930907007d-09,
-     |  -1.7155497113302d-10,-3.0187589392055d-12,-2.7108458924640d-14,
-     |  -1.0074339747977d-16,-1.1056611016094d-19,-1.9759653764988d-23,
-     |  -1.7190061659368d-28,-3.2097584670982d-36,-6.6858049776061d-53/
-      data (pmn(lat,36,44), lat = 1,72)/
-     |   5.4371197397332d-55, 7.8444510341995d-38, 7.0263650715717d-30,
-     |   1.1367092082530d-24, 8.2360888625560d-21, 9.2549805367503d-18,
-     |   2.9756936204386d-15, 3.8738879761884d-13, 2.5336266791384d-11,
-     |   9.6046685128981d-10, 2.3310444639317d-08, 3.8910992232247d-07,
-     |   4.7107842301391d-06, 4.3053382963770d-05, 3.0626298862460d-04,
-     |   1.7358649028090d-03, 7.9791231297605d-03, 3.0130583600847d-02,
-     |   9.4266655792815d-02, 2.4532135134278d-01, 5.3032426842514d-01,
-     |   9.4375928901650d-01, 1.3518667465080d+00, 1.4777997141070d+00,
-     |   1.0509761018052d+00, 9.8789923261916d-02,-8.7570555592354d-01,
-     |  -1.1524574668030d+00,-4.4677604481815d-01, 6.4966765086299d-01,
-     |   1.0797572642883d+00, 3.8181819960753d-01,-7.1652381932404d-01,
-     |  -1.0035243361708d+00,-1.4605681096154d-01, 8.7545355107938d-01,
-     |   8.7545355107938d-01,-1.4605681096153d-01,-1.0035243361708d+00,
-     |  -7.1652381932404d-01, 3.8181819960752d-01, 1.0797572642883d+00,
-     |   6.4966765086300d-01,-4.4677604481815d-01,-1.1524574668031d+00,
-     |  -8.7570555592354d-01, 9.8789923261911d-02, 1.0509761018052d+00,
-     |   1.4777997141070d+00, 1.3518667465080d+00, 9.4375928901650d-01,
-     |   5.3032426842514d-01, 2.4532135134278d-01, 9.4266655792816d-02,
-     |   3.0130583600847d-02, 7.9791231297606d-03, 1.7358649028090d-03,
-     |   3.0626298862459d-04, 4.3053382963770d-05, 4.7107842301392d-06,
-     |   3.8910992232247d-07, 2.3310444639317d-08, 9.6046685128983d-10,
-     |   2.5336266791385d-11, 3.8738879761885d-13, 2.9756936204386d-15,
-     |   9.2549805367509d-18, 8.2360888625560d-21, 1.1367092082530d-24,
-     |   7.0263650715717d-30, 7.8444510341995d-38, 5.4371197397332d-55/
-      data (pmn(lat,37,44), lat = 1,72)/
-     |   4.0813334358890d-57, 1.7694498217502d-39, 2.6503532224057d-31,
-     |   6.0330753261388d-26, 5.6585063748504d-22, 7.8385958608795d-19,
-     |   3.0099034660014d-16, 4.5779691034577d-14, 3.4431548759892d-12,
-     |   1.4835960454802d-10, 4.0572476504304d-09, 7.5825275310460d-08,
-     |   1.0230518948989d-06, 1.0388329980872d-05, 8.1967698618985d-05,
-     |   5.1515223797356d-04, 2.6285816962029d-03, 1.1048249682752d-02,
-     |   3.8654628495539d-02, 1.1333033990604d-01, 2.7917636016839d-01,
-     |   5.7650186964747d-01, 9.8848427370203d-01, 1.3759814170788d+00,
-     |   1.4756223497096d+00, 1.0438877704592d+00, 1.1545070069196d-01,
-     |  -8.4697103370260d-01,-1.1766809120459d+00,-5.6682562989404d-01,
-     |   5.1439442967726d-01, 1.1020547874812d+00, 6.2053439431135d-01,
-     |  -4.7342720904104d-01,-1.0723979484003d+00,-5.5015632534212d-01,
-     |   5.5015632534211d-01, 1.0723979484003d+00, 4.7342720904104d-01,
-     |  -6.2053439431135d-01,-1.1020547874812d+00,-5.1439442967726d-01,
-     |   5.6682562989404d-01, 1.1766809120459d+00, 8.4697103370261d-01,
-     |  -1.1545070069196d-01,-1.0438877704592d+00,-1.4756223497096d+00,
-     |  -1.3759814170788d+00,-9.8848427370203d-01,-5.7650186964747d-01,
-     |  -2.7917636016840d-01,-1.1333033990604d-01,-3.8654628495540d-02,
-     |  -1.1048249682752d-02,-2.6285816962029d-03,-5.1515223797356d-04,
-     |  -8.1967698618984d-05,-1.0388329980872d-05,-1.0230518948989d-06,
-     |  -7.5825275310460d-08,-4.0572476504304d-09,-1.4835960454803d-10,
-     |  -3.4431548759893d-12,-4.5779691034578d-14,-3.0099034660014d-16,
-     |  -7.8385958608800d-19,-5.6585063748504d-22,-6.0330753261388d-26,
-     |  -2.6503532224057d-31,-1.7694498217502d-39,-4.0813334358890d-57/
-      data (pmn(lat,38,44), lat = 1,72)/
-     |   2.8074891974320d-59, 3.6573522943769d-41, 9.1594425191667d-33,
-     |   2.9331063474405d-27, 3.5600473161318d-23, 6.0773022919943d-20,
-     |   2.7856247309495d-17, 4.9471421487257d-15, 4.2758629377617d-13,
-     |   2.0923708211293d-11, 6.4411912710790d-10, 1.3461274853102d-08,
-     |   2.0211680382464d-07, 2.2762531123234d-06, 1.9878913781500d-05,
-     |   1.3816533558448d-04, 7.7996299293324d-04, 3.6332224217636d-03,
-     |   1.4134589594543d-02, 4.6324366166247d-02, 1.2858965639401d-01,
-     |   3.0287008460013d-01, 6.0367030093557d-01, 1.0087881571887d+00,
-     |   1.3838013035170d+00, 1.4850624161448d+00, 1.0873472685621d+00,
-     |   2.0717123678710d-01,-7.5901514369906d-01,-1.2005744429410d+00,
-     |  -7.5846961652733d-01, 2.7139690188697d-01, 1.0563109946929d+00,
-     |   9.0610590145587d-01,-6.1914356217685d-02,-9.6725316538052d-01,
-     |  -9.6725316538053d-01,-6.1914356217688d-02, 9.0610590145587d-01,
-     |   1.0563109946929d+00, 2.7139690188697d-01,-7.5846961652734d-01,
-     |  -1.2005744429410d+00,-7.5901514369907d-01, 2.0717123678710d-01,
-     |   1.0873472685621d+00, 1.4850624161449d+00, 1.3838013035170d+00,
-     |   1.0087881571887d+00, 6.0367030093557d-01, 3.0287008460013d-01,
-     |   1.2858965639402d-01, 4.6324366166247d-02, 1.4134589594543d-02,
-     |   3.6332224217636d-03, 7.7996299293325d-04, 1.3816533558448d-04,
-     |   1.9878913781500d-05, 2.2762531123234d-06, 2.0211680382465d-07,
-     |   1.3461274853102d-08, 6.4411912710790d-10, 2.0923708211294d-11,
-     |   4.2758629377618d-13, 4.9471421487257d-15, 2.7856247309495d-17,
-     |   6.0773022919948d-20, 3.5600473161318d-23, 2.9331063474405d-27,
-     |   9.1594425191667d-33, 3.6573522943769d-41, 2.8074891974320d-59/
-      data (pmn(lat,39,44), lat = 1,72)/
-     |   1.7527031687870d-61, 6.8602804377835d-43, 2.8722671612777d-34,
-     |   1.2936652947437d-28, 2.0314125264980d-24, 4.2719034610896d-21,
-     |   2.3363787388137d-18, 4.8423663255572d-16, 4.8065861927651d-14,
-     |   2.6691747871910d-12, 9.2410660446119d-11, 2.1572943037132d-09,
-     |   3.5999456133324d-08, 4.4896086365041d-07, 4.3314944064503d-06,
-     |   3.3216793417692d-05, 2.0686298599012d-04, 1.0641101187138d-03,
-     |   4.5819900675630d-03, 1.6684364379209d-02, 5.1753301385260d-02,
-     |   1.3737217144241d-01, 3.1246444895597d-01, 6.0750603360929d-01,
-     |   1.0012691180563d+00, 1.3734126811004d+00, 1.5054620359476d+00,
-     |   1.1836792884972d+00, 3.8581439611366d-01,-5.8321269295675d-01,
-     |  -1.1843268645181d+00,-9.9931184519417d-01,-1.1250848633953d-01,
-     |   8.4622794125243d-01, 1.1375028120991d+00, 5.1876826217704d-01,
-     |  -5.1876826217704d-01,-1.1375028120991d+00,-8.4622794125244d-01,
-     |   1.1250848633952d-01, 9.9931184519417d-01, 1.1843268645181d+00,
-     |   5.8321269295676d-01,-3.8581439611365d-01,-1.1836792884972d+00,
-     |  -1.5054620359476d+00,-1.3734126811004d+00,-1.0012691180563d+00,
-     |  -6.0750603360929d-01,-3.1246444895597d-01,-1.3737217144241d-01,
-     |  -5.1753301385261d-02,-1.6684364379209d-02,-4.5819900675631d-03,
-     |  -1.0641101187138d-03,-2.0686298599012d-04,-3.3216793417692d-05,
-     |  -4.3314944064502d-06,-4.4896086365041d-07,-3.5999456133325d-08,
-     |  -2.1572943037132d-09,-9.2410660446119d-11,-2.6691747871911d-12,
-     |  -4.8065861927653d-14,-4.8423663255573d-16,-2.3363787388137d-18,
-     |  -4.2719034610899d-21,-2.0314125264980d-24,-1.2936652947437d-28,
-     |  -2.8722671612777d-34,-6.8602804377835d-43,-1.7527031687870d-61/
-      data (pmn(lat,40,44), lat = 1,72)/
-     |   9.7973819327629d-64, 1.1521330488396d-44, 8.0633299664554d-36,
-     |   5.1070579238410d-30, 1.0372594767729d-25, 2.6862116117346d-22,
-     |   1.7522639754126d-19, 4.2362969240261d-17, 4.8263920617317d-15,
-     |   3.0393943311079d-13, 1.1824747149910d-11, 3.0805059906965d-10,
-     |   5.7065631832434d-09, 7.8701004277867d-08, 8.3742424489993d-07,
-     |   7.0714266508771d-06, 4.8463752173011d-05, 2.7446550380702d-04,
-     |   1.3030811924621d-03, 5.2459238086379d-03, 1.8066094576719d-02,
-     |   5.3565298283958d-02, 1.3728704447563d-01, 3.0458719982183d-01,
-     |   5.8387044750398d-01, 9.6068899174922d-01, 1.3371561256269d+00,
-     |   1.5263460292845d+00, 1.3249546866656d+00, 6.6032413019186d-01,
-     |  -2.7709154739823d-01,-1.0520670064667d+00,-1.2161299993030d+00,
-     |  -6.3393358618605d-01, 3.5117927778892d-01, 1.0963292670082d+00,
-     |   1.0963292670082d+00, 3.5117927778893d-01,-6.3393358618605d-01,
-     |  -1.2161299993030d+00,-1.0520670064667d+00,-2.7709154739823d-01,
-     |   6.6032413019186d-01, 1.3249546866656d+00, 1.5263460292845d+00,
-     |   1.3371561256269d+00, 9.6068899174922d-01, 5.8387044750398d-01,
-     |   3.0458719982183d-01, 1.3728704447563d-01, 5.3565298283958d-02,
-     |   1.8066094576719d-02, 5.2459238086380d-03, 1.3030811924621d-03,
-     |   2.7446550380702d-04, 4.8463752173011d-05, 7.0714266508772d-06,
-     |   8.3742424489992d-07, 7.8701004277867d-08, 5.7065631832435d-09,
-     |   3.0805059906965d-10, 1.1824747149910d-11, 3.0393943311080d-13,
-     |   4.8263920617319d-15, 4.2362969240262d-17, 1.7522639754126d-19,
-     |   2.6862116117348d-22, 1.0372594767729d-25, 5.1070579238410d-30,
-     |   8.0633299664554d-36, 1.1521330488396d-44, 9.7973819327629d-64/
-      data (pmn(lat,41,44), lat = 1,72)/
-     |   4.8072829082319d-66, 1.6983512634140d-46, 1.9866438011924d-37,
-     |   1.7691404187588d-31, 4.6464313358963d-27, 1.4814042000996d-23,
-     |   1.1521556300203d-20, 3.2477082743493d-18, 4.2446166560895d-16,
-     |   3.0293647359306d-14, 1.3233972877743d-12, 3.8439573490038d-11,
-     |   7.8966466243377d-10, 1.2028272767480d-08, 1.4094975331511d-07,
-     |   1.3082808322469d-06, 9.8462443046742d-06, 6.1232117822277d-05,
-     |   3.1950905844322d-04, 1.4163615109793d-03, 5.3874052460043d-03,
-     |   1.7721286586548d-02, 5.0705649597841d-02, 1.2669146421911d-01,
-     |   2.7690484208836d-01, 5.2899394138195d-01, 8.7944862613071d-01,
-     |   1.2596540958567d+00, 1.5225306836832d+00, 1.4832434622605d+00,
-     |   1.0221312239408d+00, 2.0273601697680d-01,-6.8705601384939d-01,
-     |  -1.2417464732980d+00,-1.1643997297305d+00,-4.7279052380950d-01,
-     |   4.7279052380949d-01, 1.1643997297305d+00, 1.2417464732980d+00,
-     |   6.8705601384939d-01,-2.0273601697679d-01,-1.0221312239408d+00,
-     |  -1.4832434622605d+00,-1.5225306836832d+00,-1.2596540958567d+00,
-     |  -8.7944862613071d-01,-5.2899394138195d-01,-2.7690484208836d-01,
-     |  -1.2669146421911d-01,-5.0705649597841d-02,-1.7721286586548d-02,
-     |  -5.3874052460044d-03,-1.4163615109793d-03,-3.1950905844323d-04,
-     |  -6.1232117822277d-05,-9.8462443046743d-06,-1.3082808322470d-06,
-     |  -1.4094975331511d-07,-1.2028272767479d-08,-7.8966466243379d-10,
-     |  -3.8439573490038d-11,-1.3233972877743d-12,-3.0293647359306d-14,
-     |  -4.2446166560896d-16,-3.2477082743494d-18,-1.1521556300203d-20,
-     |  -1.4814042000997d-23,-4.6464313358963d-27,-1.7691404187588d-31,
-     |  -1.9866438011924d-37,-1.6983512634140d-46,-4.8072829082319d-66/
-      data (pmn(lat,42,44), lat = 1,72)/
-     |   2.0058179787419d-68, 2.1287879864944d-48, 4.1616047662908d-39,
-     |   5.2097991286379d-33, 1.7689931430653d-28, 6.9416479716757d-25,
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-      data (pmn(lat,43,44), lat = 1,72)/
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-      data (pmn(lat,44,44), lat = 1,72)/
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-      data (pmn(lat, 0,45), lat = 1,72)/
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-      data (pmn(lat, 1,45), lat = 1,72)/
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-      data (pmn(lat, 2,45), lat = 1,72)/
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-      data (pmn(lat, 3,45), lat = 1,72)/
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-      data (pmn(lat, 4,45), lat = 1,72)/
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-      data (pmn(lat, 5,45), lat = 1,72)/
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-      data (pmn(lat, 6,45), lat = 1,72)/
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-      data (pmn(lat, 7,45), lat = 1,72)/
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-      data (pmn(lat, 8,45), lat = 1,72)/
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-      data (pmn(lat, 9,45), lat = 1,72)/
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-      data (pmn(lat,10,45), lat = 1,72)/
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-      data (pmn(lat,11,45), lat = 1,72)/
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-      data (pmn(lat,12,45), lat = 1,72)/
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-      data (pmn(lat,13,45), lat = 1,72)/
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-      data (pmn(lat,14,45), lat = 1,72)/
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-      data (pmn(lat,15,45), lat = 1,72)/
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-      data (pmn(lat,16,45), lat = 1,72)/
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-     |  -3.3388852176488d-07,-1.1791968148216d-10,-3.0617380231221d-18/
-      data (pmn(lat,17,45), lat = 1,72)/
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-     |   1.0271950026516d-05, 4.7586638816955d-04, 8.2208243298311d-03,
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-     |   4.6418816002261d-08, 9.6993718366815d-12, 8.3375514291327d-20/
-      data (pmn(lat,18,45), lat = 1,72)/
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-      data (pmn(lat,19,45), lat = 1,72)/
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-     |   3.2930061190526d-07, 2.6575844181719d-05, 7.3616145058982d-04,
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-     |   7.3151199986783d-10, 5.3727936290320d-14, 5.0719813183840d-23/
-      data (pmn(lat,20,45), lat = 1,72)/
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-     |   5.3358311861967d-08, 5.6609980491506d-06, 1.9741673482938d-04,
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-     |  -8.3328016439969d-11,-3.6345955981962d-15,-1.1379430067824d-24/
-      data (pmn(lat,21,45), lat = 1,72)/
-     |   2.4024231731753d-26, 2.3126507495888d-16, 8.9200649017585d-12,
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-      data (pmn(lat,22,45), lat = 1,72)/
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-     |   1.1596433117388d-09, 2.1134713196722d-07, 1.1582396146895d-05,
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-     |  -8.9871306050879d-13,-1.3860476336921d-17,-4.7792088254713d-28/
-      data (pmn(lat,23,45), lat = 1,72)/
-     |   8.9684019272487d-30, 7.8335037068487d-19, 8.5327552073777d-14,
-     |   1.5602848494283d-10, 3.7179588481376d-08, 2.5455569077903d-06,
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-     |   2.5455569077904d-06, 3.7179588481376d-08, 1.5602848494283d-10,
-     |   8.5327552073777d-14, 7.8335037068487d-19, 8.9684019272487d-30/
-      data (pmn(lat,24,45), lat = 1,72)/
-     |   1.5888858731446d-31, 4.1785637757847d-20, 7.6417407167608d-15,
-     |   1.9783871835554d-11, 6.1554331182974d-09, 5.2554875271168d-07,
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-     |  -7.6417407167608d-15,-4.1785637757847d-20,-1.5888858731446d-31/
-      data (pmn(lat,25,45), lat = 1,72)/
-     |   2.6591977187175d-33, 2.1050740910966d-21, 6.4600653362117d-16,
-     |   2.3659358508384d-12, 9.6003859292929d-10, 1.0205318363597d-07,
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-     |   1.1784548046778d-03, 9.3394555551951d-05, 4.3364270096554d-06,
-     |   1.0205318363597d-07, 9.6003859292929d-10, 2.3659358508384d-12,
-     |   6.4600653362117d-16, 2.1050740910966d-21, 2.6591977187175d-33/
-      data (pmn(lat,26,45), lat = 1,72)/
-     |   4.2057990454402d-35, 1.0019572434118d-22, 5.1572845158792d-17,
-     |   2.6700451361896d-13, 1.4115496647836d-10, 1.8655774512252d-08,
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-     |  -5.1572845158792d-17,-1.0019572434118d-22,-4.2057990454402d-35/
-      data (pmn(lat,27,45), lat = 1,72)/
-     |   6.2870074136771d-37, 4.5065134054582d-24, 3.8889750041092d-18,
-     |   2.8443558123773d-14, 1.9573057758452d-11, 3.2123621386985d-09,
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-     |   1.6917705982377d-01, 4.8149768658741d-01, 1.0082165362536d+00,
-     |   1.4958975057166d+00, 1.3869855017355d+00, 3.6476892674959d-01,
-     |  -8.9782420289863d-01,-1.0693311153804d+00, 1.2270243951841d-01,
-     |   1.0681367132444d+00, 3.5076703616514d-01,-8.9155240405694d-01,
-     |  -5.8124240265641d-01, 7.3133295528687d-01, 6.7855255969274d-01,
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-     |   3.2123621386987d-09, 1.9573057758452d-11, 2.8443558123773d-14,
-     |   3.8889750041092d-18, 4.5065134054582d-24, 6.2870074136771d-37/
-      data (pmn(lat,28,45), lat = 1,72)/
-     |   8.8815758015957d-39, 1.9151553086618d-25, 2.7698754292160d-19,
-     |   2.8602917127939d-15, 2.5599512478067d-12, 5.2116776937675d-10,
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-     |   4.7724579808285d-01, 1.0474748642888d+00, 2.4559481452909d-02,
-     |  -9.8984656821533d-01,-3.2647263652712d-01, 8.7275142891398d-01,
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-     |   7.0204765043506d-01, 6.1031034248040d-01,-6.6204369343175d-01,
-     |  -6.2642062282723d-01, 6.4245694557465d-01, 6.3372899493645d-01,
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-     |  -5.2116776937678d-10,-2.5599512478067d-12,-2.8602917127939d-15,
-     |  -2.7698754292160d-19,-1.9151553086618d-25,-8.8815758015957d-39/
-      data (pmn(lat,29,45), lat = 1,72)/
-     |   1.1853045805690d-40, 7.6875929904136d-27, 1.8627901278157d-20,
-     |   2.7145097880798d-16, 3.1575224852615d-13, 7.9662896775114d-11,
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-     |   3.4635724003614d-02, 1.3211603563620d-01, 3.8289787820785d-01,
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-     |   8.2655018831757d-01,-4.3536663372079d-01,-1.1803000909435d+00,
-     |  -5.3915456679712d-01, 7.4656577588958d-01, 9.3471018882856d-01,
-     |  -2.6336691670918d-01,-1.0016298712718d+00,-8.7171806976438d-02,
-     |   9.4366839577363d-01, 3.1172041070123d-01,-8.5709370825591d-01,
-     |  -4.5103612891574d-01, 7.7698020531912d-01, 5.3993560035580d-01,
-     |  -7.1102511456521d-01,-6.0264240324552d-01, 6.5571663895985d-01,
-     |   6.5571663895986d-01,-6.0264240324551d-01,-7.1102511456522d-01,
-     |   5.3993560035580d-01, 7.7698020531912d-01,-4.5103612891575d-01,
-     |  -8.5709370825591d-01, 3.1172041070122d-01, 9.4366839577363d-01,
-     |  -8.7171806976435d-02,-1.0016298712718d+00,-2.6336691670919d-01,
-     |   9.3471018882856d-01, 7.4656577588958d-01,-5.3915456679712d-01,
-     |  -1.1803000909435d+00,-4.3536663372079d-01, 8.2655018831757d-01,
-     |   1.5036887578699d+00, 1.3612594628429d+00, 8.4038836796163d-01,
-     |   3.8289787820785d-01, 1.3211603563620d-01, 3.4635724003614d-02,
-     |   6.8245629367428d-03, 9.8767881590739d-04, 1.0125772407659d-04,
-     |   6.9747457681109d-06, 2.9902175224271d-07, 7.1305950595595d-09,
-     |   7.9662896775118d-11, 3.1575224852615d-13, 2.7145097880798d-16,
-     |   1.8627901278157d-20, 7.6875929904136d-27, 1.1853045805690d-40/
-      data (pmn(lat,30,45), lat = 1,72)/
-     |   1.4934442178233d-42, 2.9129426341783d-28, 1.1822043585196d-21,
-     |   2.4299425714911d-17, 3.6711670979587d-14, 1.1468485290961d-11,
-     |   1.2328241607207d-09, 6.0822767908472d-08, 1.6456297569765d-06,
-     |   2.7447328190952d-05, 3.0571972278703d-04, 2.4050569373499d-03,
-     |   1.3897994251555d-02, 6.0579533307490d-02, 2.0232250003818d-01,
-     |   5.2008046942304d-01, 1.0185882157884d+00, 1.4650619611737d+00,
-     |   1.3864739483569d+00, 4.9080589240434d-01,-7.3370863447920d-01,
-     |  -1.1505411678661d+00,-2.3727562154822d-01, 9.2451932576244d-01,
-     |   7.7156698994682d-01,-4.9275762901775d-01,-9.5781496038898d-01,
-     |   1.1321494643392d-01, 9.6679885295410d-01, 1.6724351442254d-01,
-     |  -9.0360421771888d-01,-3.6611833968402d-01, 8.1699669337263d-01,
-     |   5.1100166231068d-01,-7.2393403440597d-01,-6.2490764101741d-01,
-     |   6.2490764101740d-01, 7.2393403440597d-01,-5.1100166231067d-01,
-     |  -8.1699669337263d-01, 3.6611833968401d-01, 9.0360421771888d-01,
-     |  -1.6724351442254d-01,-9.6679885295410d-01,-1.1321494643393d-01,
-     |   9.5781496038898d-01, 4.9275762901775d-01,-7.7156698994682d-01,
-     |  -9.2451932576245d-01, 2.3727562154822d-01, 1.1505411678661d+00,
-     |   7.3370863447922d-01,-4.9080589240434d-01,-1.3864739483569d+00,
-     |  -1.4650619611737d+00,-1.0185882157884d+00,-5.2008046942305d-01,
-     |  -2.0232250003817d-01,-6.0579533307489d-02,-1.3897994251555d-02,
-     |  -2.4050569373499d-03,-3.0571972278703d-04,-2.7447328190952d-05,
-     |  -1.6456297569765d-06,-6.0822767908473d-08,-1.2328241607207d-09,
-     |  -1.1468485290961d-11,-3.6711670979587d-14,-2.4299425714911d-17,
-     |  -1.1822043585196d-21,-2.9129426341783d-28,-1.4934442178233d-42/
-      data (pmn(lat,31,45), lat = 1,72)/
-     |   1.7748523024742d-44, 1.0409496738462d-29, 7.0739113920158d-23,
-     |   2.0500156388190d-18, 4.0203683633713d-15, 1.5539137881024d-12,
-     |   2.0041017504442d-10, 1.1617988311121d-08, 3.6404320198949d-07,
-     |   6.9618007625411d-06, 8.8322133464114d-05, 7.8843413406545d-04,
-     |   5.1645259905158d-03, 2.5565392375158d-02, 9.7501004615034d-02,
-     |   2.8931809132210d-01, 6.6737650690425d-01, 1.1768821530409d+00,
-     |   1.5105804238478d+00, 1.2115624215650d+00, 1.6452455662599d-01,
-     |  -9.4597639492147d-01,-1.0476977432012d+00, 3.7952242194833d-02,
-     |   1.0224257460180d+00, 5.9582615211041d-01,-6.5949755186110d-01,
-     |  -8.8994551821020d-01, 2.6337985786517d-01, 9.6598535200913d-01,
-     |   6.9829554042202d-02,-9.2657911927320d-01,-3.3050250056908d-01,
-     |   8.2894662896048d-01, 5.3397871913251d-01,-6.9698205510069d-01,
-     |  -6.9698205510069d-01, 5.3397871913250d-01, 8.2894662896048d-01,
-     |  -3.3050250056907d-01,-9.2657911927320d-01, 6.9829554042205d-02,
-     |   9.6598535200914d-01, 2.6337985786518d-01,-8.8994551821020d-01,
-     |  -6.5949755186110d-01, 5.9582615211041d-01, 1.0224257460180d+00,
-     |   3.7952242194838d-02,-1.0476977432012d+00,-9.4597639492147d-01,
-     |   1.6452455662597d-01, 1.2115624215650d+00, 1.5105804238478d+00,
-     |   1.1768821530409d+00, 6.6737650690425d-01, 2.8931809132210d-01,
-     |   9.7501004615033d-02, 2.5565392375158d-02, 5.1645259905159d-03,
-     |   7.8843413406545d-04, 8.8322133464114d-05, 6.9618007625412d-06,
-     |   3.6404320198950d-07, 1.1617988311121d-08, 2.0041017504442d-10,
-     |   1.5539137881025d-12, 4.0203683633713d-15, 2.0500156388190d-18,
-     |   7.0739113920158d-23, 1.0409496738462d-29, 1.7748523024742d-44/
-      data (pmn(lat,32,45), lat = 1,72)/
-     |   1.9869986012674d-46, 3.5037816699370d-31, 3.9859259840096d-24,
-     |   1.6280064435757d-19, 4.1422575444487d-16, 1.9795087863299d-13,
-     |   3.0603061026427d-11, 2.0822817664855d-09, 7.5459286008113d-08,
-     |   1.6516683107920d-06, 2.3814137050587d-05, 2.4054286724289d-04,
-     |   1.7794335620938d-03, 9.9534576332096d-03, 4.3043118658752d-02,
-     |   1.4589021322058d-01, 3.8955794486035d-01, 8.1490848866038d-01,
-     |   1.3048905345953d+00, 1.5016705004239d+00, 1.0038598236271d+00,
-     |  -1.2662939962679d-01,-1.0779338832412d+00,-9.0724537465332d-01,
-     |   2.6577182091464d-01, 1.0615813971385d+00, 4.3700150892705d-01,
-     |  -7.6994671336116d-01,-8.2538374844616d-01, 3.5969611775483d-01,
-     |   9.6149244386530d-01, 2.8461657015235d-02,-9.3622141189401d-01,
-     |  -3.5405840316095d-01, 8.1055113488653d-01, 6.1390847228021d-01,
-     |  -6.1390847228021d-01,-8.1055113488653d-01, 3.5405840316095d-01,
-     |   9.3622141189401d-01,-2.8461657015231d-02,-9.6149244386530d-01,
-     |  -3.5969611775484d-01, 8.2538374844615d-01, 7.6994671336116d-01,
-     |  -4.3700150892705d-01,-1.0615813971385d+00,-2.6577182091464d-01,
-     |   9.0724537465332d-01, 1.0779338832412d+00, 1.2662939962679d-01,
-     |  -1.0038598236271d+00,-1.5016705004239d+00,-1.3048905345953d+00,
-     |  -8.1490848866039d-01,-3.8955794486035d-01,-1.4589021322059d-01,
-     |  -4.3043118658752d-02,-9.9534576332095d-03,-1.7794335620938d-03,
-     |  -2.4054286724289d-04,-2.3814137050587d-05,-1.6516683107921d-06,
-     |  -7.5459286008115d-08,-2.0822817664856d-09,-3.0603061026427d-11,
-     |  -1.9795087863300d-13,-4.1422575444487d-16,-1.6280064435757d-19,
-     |  -3.9859259840096d-24,-3.5037816699370d-31,-1.9869986012674d-46/
-      data (pmn(lat,33,45), lat = 1,72)/
-     |   2.0920524933074d-48, 1.1090114912527d-32, 2.1115101677217d-25,
-     |   1.2150653143438d-20, 4.0090914547513d-17, 2.3673066403824d-14,
-     |   4.3836078218524d-12, 3.4973391883023d-10, 1.4639439786337d-08,
-     |   3.6619034749532d-07, 5.9888785804100d-06, 6.8281875673921d-05,
-     |   5.6866441937361d-04, 3.5795051905428d-03, 1.7453440034009d-02,
-     |   6.7030384414638d-02, 2.0466591866124d-01, 4.9744936862969d-01,
-     |   9.5308854978625d-01, 1.3976028328412d+00, 1.4496542559319d+00,
-     |   7.8876248557825d-01,-3.6733512792017d-01,-1.1456076069845d+00,
-     |  -7.6114873776002d-01, 4.3783655778872d-01, 1.0664538508994d+00,
-     |   3.1582350576955d-01,-8.3468087312693d-01,-7.8528856024260d-01,
-     |   4.0086645738621d-01, 9.6675133303636d-01, 5.1158864618152d-02,
-     |  -9.3263930117013d-01,-4.4379699380275d-01, 7.4556385693770d-01,
-     |   7.4556385693770d-01,-4.4379699380274d-01,-9.3263930117013d-01,
-     |   5.1158864618148d-02, 9.6675133303636d-01, 4.0086645738620d-01,
-     |  -7.8528856024260d-01,-8.3468087312694d-01, 3.1582350576955d-01,
-     |   1.0664538508994d+00, 4.3783655778872d-01,-7.6114873776001d-01,
-     |  -1.1456076069845d+00,-3.6733512792017d-01, 7.8876248557825d-01,
-     |   1.4496542559319d+00, 1.3976028328412d+00, 9.5308854978626d-01,
-     |   4.9744936862969d-01, 2.0466591866124d-01, 6.7030384414638d-02,
-     |   1.7453440034009d-02, 3.5795051905428d-03, 5.6866441937362d-04,
-     |   6.8281875673921d-05, 5.9888785804100d-06, 3.6619034749533d-07,
-     |   1.4639439786338d-08, 3.4973391883024d-10, 4.3836078218524d-12,
-     |   2.3673066403825d-14, 4.0090914547513d-17, 1.2150653143438d-20,
-     |   2.1115101677217d-25, 1.1090114912527d-32, 2.0920524933074d-48/
-      data (pmn(lat,34,45), lat = 1,72)/
-     |   2.0671041388060d-50, 3.2938664039792d-34, 1.0493953466915d-26,
-     |   8.5052794031904d-22, 3.6375756116473d-18, 2.6525462259416d-15,
-     |   5.8789302473647d-13, 5.4947426036332d-11, 2.6537929813027d-09,
-     |   7.5757958371062d-08, 1.4030003910561d-06, 1.8017744341769d-05,
-     |   1.6847963376977d-04, 1.1892821969390d-03, 6.5084440668248d-03,
-     |   2.8144589641821d-02, 9.7371460821870d-02, 2.7109691539451d-01,
-     |   6.0621825928093d-01, 1.0742465785594d+00, 1.4557762044950d+00,
-     |   1.3706913052007d+00, 5.8869347936295d-01,-5.5186115974248d-01,
-     |  -1.1699850675011d+00,-6.3507781378107d-01, 5.5391940768616d-01,
-     |   1.0595659339325d+00, 2.4627863672349d-01,-8.6265222299280d-01,
-     |  -7.8413221940366d-01, 3.8277217863735d-01, 9.8514186409903d-01,
-     |   1.4722924833789d-01,-9.0064426492753d-01,-6.0004683894947d-01,
-     |   6.0004683894947d-01, 9.0064426492753d-01,-1.4722924833788d-01,
-     |  -9.8514186409903d-01,-3.8277217863735d-01, 7.8413221940367d-01,
-     |   8.6265222299280d-01,-2.4627863672348d-01,-1.0595659339325d+00,
-     |  -5.5391940768617d-01, 6.3507781378107d-01, 1.1699850675011d+00,
-     |   5.5186115974248d-01,-5.8869347936295d-01,-1.3706913052007d+00,
-     |  -1.4557762044950d+00,-1.0742465785594d+00,-6.0621825928094d-01,
-     |  -2.7109691539452d-01,-9.7371460821871d-02,-2.8144589641822d-02,
-     |  -6.5084440668247d-03,-1.1892821969390d-03,-1.6847963376977d-04,
-     |  -1.8017744341769d-05,-1.4030003910561d-06,-7.5757958371064d-08,
-     |  -2.6537929813028d-09,-5.4947426036333d-11,-5.8789302473647d-13,
-     |  -2.6525462259417d-15,-3.6375756116473d-18,-8.5052794031904d-22,
-     |  -1.0493953466915d-26,-3.2938664039792d-34,-2.0671041388060d-50/
-      data (pmn(lat,35,45), lat = 1,72)/
-     |   1.9115918879281d-52, 9.1554308532977d-36, 4.8798509031722d-28,
-     |   5.5689607461293d-23, 3.0860497859137d-19, 2.7776180639409d-16,
-     |   7.3634866224572d-14, 8.0560995056737d-12, 4.4848303356161d-10,
-     |   1.4593407081481d-08, 3.0558110137516d-07, 4.4121167231984d-06,
-     |   4.6215134549457d-05, 3.6476653660590d-04, 2.2319539915225d-03,
-     |   1.0812347723355d-02, 4.2087456119093d-02, 1.3284275056622d-01,
-     |   3.4104610533672d-01, 7.0893481995857d-01, 1.1736410522267d+00,
-     |   1.4851449232651d+00, 1.2829372279643d+00, 4.2141317303010d-01,
-     |  -6.8134913986896d-01,-1.1723474370456d+00,-5.4819296525555d-01,
-     |   6.1671820632499d-01, 1.0579652114795d+00, 2.3869352678816d-01,
-     |  -8.5589958427125d-01,-8.2887826765344d-01, 2.9447470257428d-01,
-     |   1.0049638787468d+00, 3.2530832291394d-01,-8.0384674423323d-01,
-     |  -8.0384674423323d-01, 3.2530832291393d-01, 1.0049638787468d+00,
-     |   2.9447470257428d-01,-8.2887826765343d-01,-8.5589958427125d-01,
-     |   2.3869352678815d-01, 1.0579652114795d+00, 6.1671820632499d-01,
-     |  -5.4819296525555d-01,-1.1723474370456d+00,-6.8134913986896d-01,
-     |   4.2141317303010d-01, 1.2829372279643d+00, 1.4851449232651d+00,
-     |   1.1736410522267d+00, 7.0893481995857d-01, 3.4104610533672d-01,
-     |   1.3284275056622d-01, 4.2087456119093d-02, 1.0812347723355d-02,
-     |   2.2319539915225d-03, 3.6476653660590d-04, 4.6215134549457d-05,
-     |   4.4121167231984d-06, 3.0558110137516d-07, 1.4593407081482d-08,
-     |   4.4848303356163d-10, 8.0560995056738d-12, 7.3634866224572d-14,
-     |   2.7776180639410d-16, 3.0860497859137d-19, 5.5689607461293d-23,
-     |   4.8798509031722d-28, 9.1554308532977d-36, 1.9115918879281d-52/
-      data (pmn(lat,36,45), lat = 1,72)/
-     |   1.6488840867819d-54, 2.3734321231917d-37, 2.1160428868807d-29,
-     |   3.3993490753516d-24, 2.4399036502591d-20, 2.7092977981272d-17,
-     |   8.5859086359029d-15, 1.0987579052732d-12, 7.0442635671964d-11,
-     |   2.6098842852417d-09, 6.1709554613730d-08, 1.0000950645095d-06,
-     |   1.1710943847051d-05, 1.0309052336672d-04, 7.0302452621891d-04,
-     |   3.7992999218583d-03, 1.6545876009300d-02, 5.8741774079804d-02,
-     |   1.7112502793372d-01, 4.0944598983326d-01, 7.9938710816843d-01,
-     |   1.2496427677284d+00, 1.4947986958896d+00, 1.2041683817684d+00,
-     |   3.0011070012418d-01,-7.6000747205254d-01,-1.1706278445298d+00,
-     |  -5.1453080832782d-01, 6.2660007464998d-01, 1.0702727946130d+00,
-     |   3.0219111851702d-01,-8.0448510581965d-01,-9.1535116944171d-01,
-     |   1.1724235155580d-01, 9.9119678033351d-01, 5.8229709837435d-01,
-     |  -5.8229709837435d-01,-9.9119678033351d-01,-1.1724235155581d-01,
-     |   9.1535116944171d-01, 8.0448510581965d-01,-3.0219111851703d-01,
-     |  -1.0702727946130d+00,-6.2660007464999d-01, 5.1453080832782d-01,
-     |   1.1706278445298d+00, 7.6000747205255d-01,-3.0011070012417d-01,
-     |  -1.2041683817684d+00,-1.4947986958896d+00,-1.2496427677284d+00,
-     |  -7.9938710816844d-01,-4.0944598983326d-01,-1.7112502793372d-01,
-     |  -5.8741774079804d-02,-1.6545876009300d-02,-3.7992999218583d-03,
-     |  -7.0302452621891d-04,-1.0309052336672d-04,-1.1710943847051d-05,
-     |  -1.0000950645095d-06,-6.1709554613730d-08,-2.6098842852417d-09,
-     |  -7.0442635671966d-11,-1.0987579052732d-12,-8.5859086359029d-15,
-     |  -2.7092977981273d-17,-2.4399036502591d-20,-3.3993490753516d-24,
-     |  -2.1160428868807d-29,-2.3734321231917d-37,-1.6488840867819d-54/
-      data (pmn(lat,37,45), lat = 1,72)/
-     |   1.3208919511997d-56, 5.7137743465275d-39, 8.5196520145992d-31,
-     |   1.9261568823385d-25, 1.7900802237678d-21, 2.4512302182236d-18,
-     |   9.2810584783518d-16, 1.3883489022857d-13, 1.0242176949255d-11,
-     |   4.3164392400520d-10, 1.1510662251331d-08, 2.0908748095312d-07,
-     |   2.7322585508984d-06, 2.6766581318090d-05, 2.0287735845339d-04,
-     |   1.2188298000211d-03, 5.9114292046428d-03, 2.3460294095474d-02,
-     |   7.6876949640118d-02, 2.0896313551947d-01, 4.7084545833451d-01,
-     |   8.7255282061825d-01, 1.3030931287645d+00, 1.4951433745355d+00,
-     |   1.1501839146766d+00, 2.3486613674797d-01,-7.9085656685447d-01,
-     |  -1.1764121100029d+00,-5.4463610885665d-01, 5.7672865485285d-01,
-     |   1.0926617657160d+00, 4.4425507462621d-01,-6.8190327679094d-01,
-     |  -1.0188149161719d+00,-1.6862346988169d-01, 8.7582119509399d-01,
-     |   8.7582119509399d-01,-1.6862346988168d-01,-1.0188149161719d+00,
-     |  -6.8190327679095d-01, 4.4425507462621d-01, 1.0926617657160d+00,
-     |   5.7672865485285d-01,-5.4463610885664d-01,-1.1764121100029d+00,
-     |  -7.9085656685447d-01, 2.3486613674796d-01, 1.1501839146766d+00,
-     |   1.4951433745355d+00, 1.3030931287645d+00, 8.7255282061825d-01,
-     |   4.7084545833452d-01, 2.0896313551947d-01, 7.6876949640119d-02,
-     |   2.3460294095475d-02, 5.9114292046429d-03, 1.2188298000211d-03,
-     |   2.0287735845338d-04, 2.6766581318089d-05, 2.7322585508984d-06,
-     |   2.0908748095312d-07, 1.1510662251331d-08, 4.3164392400521d-10,
-     |   1.0242176949255d-11, 1.3883489022858d-13, 9.2810584783518d-16,
-     |   2.4512302182238d-18, 1.7900802237678d-21, 1.9261568823385d-25,
-     |   8.5196520145992d-31, 5.7137743465275d-39, 1.3208919511997d-56/
-      data (pmn(lat,38,45), lat = 1,72)/
-     |   9.7726994741193d-59, 1.2703052092184d-40, 3.1673390726570d-32,
-     |   1.0075484840271d-26, 1.2120431155156d-22, 2.0459058343430d-19,
-     |   9.2505621074845d-17, 1.6165563388754d-14, 1.3712745003340d-12,
-     |   6.5677873476316d-11, 1.9732030966654d-09, 4.0121444617092d-08,
-     |   5.8416046221711d-07, 6.3564511828181d-06, 5.3421354058559d-05,
-     |   3.5572071684095d-04, 1.9141211308582d-03, 8.4493924456798d-03,
-     |   3.0934348735628d-02, 9.4607013959064d-02, 2.4246319857998d-01,
-     |   5.1986147035062d-01, 9.2454242307285d-01, 1.3359779926679d+00,
-     |   1.4957224470167d+00, 1.1338548252599d+00, 2.3480694944364d-01,
-     |  -7.7133133555334d-01,-1.1915216235272d+00,-6.4559105025822d-01,
-     |   4.4924383926624d-01, 1.1019003863980d+00, 6.6360503731647d-01,
-     |  -4.4402888846844d-01,-1.0767096194600d+00,-5.5900679509209d-01,
-     |   5.5900679509209d-01, 1.0767096194600d+00, 4.4402888846844d-01,
-     |  -6.6360503731646d-01,-1.1019003863980d+00,-4.4924383926624d-01,
-     |   6.4559105025821d-01, 1.1915216235272d+00, 7.7133133555334d-01,
-     |  -2.3480694944364d-01,-1.1338548252599d+00,-1.4957224470167d+00,
-     |  -1.3359779926679d+00,-9.2454242307285d-01,-5.1986147035062d-01,
-     |  -2.4246319857998d-01,-9.4607013959064d-02,-3.0934348735628d-02,
-     |  -8.4493924456799d-03,-1.9141211308583d-03,-3.5572071684096d-04,
-     |  -5.3421354058558d-05,-6.3564511828181d-06,-5.8416046221713d-07,
-     |  -4.0121444617092d-08,-1.9732030966654d-09,-6.5677873476318d-11,
-     |  -1.3712745003341d-12,-1.6165563388754d-14,-9.2505621074845d-17,
-     |  -2.0459058343432d-19,-1.2120431155156d-22,-1.0075484840271d-26,
-     |  -3.1673390726570d-32,-1.2703052092184d-40,-9.7726994741193d-59/
-      data (pmn(lat,39,45), lat = 1,72)/
-     |   6.6295155860708d-61, 2.5893101700884d-42, 1.0794428536085d-33,
-     |   4.8304008650208d-28, 7.5194187494841d-24, 1.5640474546864d-20,
-     |   8.4412020603724d-18, 1.7222938299989d-15, 1.6787606051823d-13,
-     |   9.1304890513003d-12, 3.0874823446439d-10, 7.0191148691110d-09,
-     |   1.1370861663422d-07, 1.3719970007981d-06, 1.2758976703528d-05,
-     |   9.3925978333759d-05, 5.5893792668758d-04, 2.7330585291562d-03,
-     |   1.1119045461742d-02, 3.7980332728087d-02, 1.0955449493517d-01,
-     |   2.6745462066969d-01, 5.5142562246093d-01, 9.5202554857519d-01,
-     |   1.3495984322985d+00, 1.5029139874159d+00, 1.1642301371181d+00,
-     |   3.1001601363839d-01,-6.8891116761270d-01,-1.2026361916264d+00,
-     |  -8.1659183877677d-01, 2.1486297361097d-01, 1.0447545175079d+00,
-     |   9.3024384502071d-01,-4.1993744112894d-02,-9.6893185946324d-01,
-     |  -9.6893185946324d-01,-4.1993744112897d-02, 9.3024384502070d-01,
-     |   1.0447545175079d+00, 2.1486297361097d-01,-8.1659183877677d-01,
-     |  -1.2026361916265d+00,-6.8891116761270d-01, 3.1001601363839d-01,
-     |   1.1642301371181d+00, 1.5029139874159d+00, 1.3495984322985d+00,
-     |   9.5202554857519d-01, 5.5142562246093d-01, 2.6745462066969d-01,
-     |   1.0955449493517d-01, 3.7980332728087d-02, 1.1119045461743d-02,
-     |   2.7330585291563d-03, 5.5893792668758d-04, 9.3925978333761d-05,
-     |   1.2758976703528d-05, 1.3719970007981d-06, 1.1370861663423d-07,
-     |   7.0191148691110d-09, 3.0874823446439d-10, 9.1304890513006d-12,
-     |   1.6787606051824d-13, 1.7222938299989d-15, 8.4412020603724d-18,
-     |   1.5640474546866d-20, 7.5194187494841d-24, 4.8304008650208d-28,
-     |   1.0794428536085d-33, 2.5893101700884d-42, 6.6295155860708d-61/
-      data (pmn(lat,40,45), lat = 1,72)/
-     |   4.0836333561934d-63, 4.7921554686052d-44, 3.3398064466987d-35,
-     |   2.1020069876942d-29, 4.2332238507387d-25, 1.0846493178496d-21,
-     |   6.9844808956829d-19, 1.6630135253994d-16, 1.8614794638972d-14,
-     |   1.1488269032942d-12, 4.3685947938493d-11, 1.1092731804356d-09,
-     |   1.9969272022508d-08, 2.6677654050157d-07, 2.7402163225219d-06,
-     |   2.2251952025280d-05, 1.4604057407609d-04, 7.8830159004242d-04,
-     |   3.5480920284656d-03, 1.3457571061176d-02, 4.3345029474489d-02,
-     |   1.1912781854602d-01, 2.7986323775908d-01, 5.6082056531498d-01,
-     |   9.5128466526483d-01, 1.3423966249784d+00, 1.5172163230009d+00,
-     |   1.2446150129778d+00, 4.7169022852007d-01,-5.1751325163226d-01,
-     |  -1.1725296122199d+00,-1.0355508115925d+00,-1.5714904748099d-01,
-     |   8.2865361537039d-01, 1.1466114515808d+00, 5.2721120227805d-01,
-     |  -5.2721120227805d-01,-1.1466114515808d+00,-8.2865361537040d-01,
-     |   1.5714904748099d-01, 1.0355508115925d+00, 1.1725296122199d+00,
-     |   5.1751325163226d-01,-4.7169022852006d-01,-1.2446150129778d+00,
-     |  -1.5172163230009d+00,-1.3423966249784d+00,-9.5128466526483d-01,
-     |  -5.6082056531499d-01,-2.7986323775908d-01,-1.1912781854602d-01,
-     |  -4.3345029474490d-02,-1.3457571061176d-02,-3.5480920284656d-03,
-     |  -7.8830159004242d-04,-1.4604057407609d-04,-2.2251952025280d-05,
-     |  -2.7402163225219d-06,-2.6677654050157d-07,-1.9969272022509d-08,
-     |  -1.1092731804356d-09,-4.3685947938493d-11,-1.1488269032942d-12,
-     |  -1.8614794638972d-14,-1.6630135253995d-16,-6.9844808956829d-19,
-     |  -1.0846493178497d-21,-4.2332238507387d-25,-2.1020069876942d-29,
-     |  -3.3398064466987d-35,-4.7921554686052d-44,-4.0836333561934d-63/
-      data (pmn(lat,41,45), lat = 1,72)/
-     |   2.2533769953131d-65, 7.9446531682587d-46, 9.2552850491349d-37,
-     |   8.1913455378194d-31, 2.1336524271347d-26, 6.7322405495038d-23,
-     |   5.1704389669373d-20, 1.4359652032690d-17, 1.8447706396653d-15,
-     |   1.2910343196625d-13, 5.5163903073518d-12, 1.5630018457867d-10,
-     |   3.1232569851629d-09, 4.6135687334042d-08, 5.2257851455624d-07,
-     |   4.6720346622064d-06, 3.3737376420495d-05, 2.0044399510186d-04,
-     |   9.9444910448171d-04, 4.1685634265087d-03, 1.4899195372911d-02,
-     |   4.5710577406974d-02, 1.2089572459894d-01, 2.7610224090185d-01,
-     |   5.4364136797865d-01, 9.1718553078376d-01, 1.3076146508665d+00,
-     |   1.5296355233684d+00, 1.3679871432723d+00, 7.2780282105956d-01,
-     |  -2.1759054234210d-01,-1.0286720769986d+00,-1.2311120600140d+00,
-     |  -6.6297187276871d-01, 3.3566912225716d-01, 1.0996035888855d+00,
-     |   1.0996035888855d+00, 3.3566912225716d-01,-6.6297187276871d-01,
-     |  -1.2311120600140d+00,-1.0286720769986d+00,-2.1759054234209d-01,
-     |   7.2780282105956d-01, 1.3679871432723d+00, 1.5296355233684d+00,
-     |   1.3076146508665d+00, 9.1718553078376d-01, 5.4364136797865d-01,
-     |   2.7610224090185d-01, 1.2089572459894d-01, 4.5710577406974d-02,
-     |   1.4899195372912d-02, 4.1685634265087d-03, 9.9444910448173d-04,
-     |   2.0044399510186d-04, 3.3737376420495d-05, 4.6720346622064d-06,
-     |   5.2257851455623d-07, 4.6135687334042d-08, 3.1232569851629d-09,
-     |   1.5630018457867d-10, 5.5163903073518d-12, 1.2910343196626d-13,
-     |   1.8447706396654d-15, 1.4359652032690d-17, 5.1704389669373d-20,
-     |   6.7322405495044d-23, 2.1336524271347d-26, 8.1913455378194d-31,
-     |   9.2552850491349d-37, 7.9446531682587d-46, 2.2533769953131d-65/
-      data (pmn(lat,42,45), lat = 1,72)/
-     |   1.0919632944072d-67, 1.1565991130697d-47, 2.2520361086661d-38,
-     |   2.8023482198481d-32, 9.4389742157773d-28, 3.6665184919250d-24,
-     |   3.3572979418195d-21, 1.0871092761015d-18, 1.6020731629257d-16,
-     |   1.2706007907641d-14, 6.0959277991878d-13, 1.9256550276788d-11,
-     |   4.2668769095334d-10, 6.9608314434684d-09, 8.6822487202255d-08,
-     |   8.5313003056929d-07, 6.7643220923318d-06, 4.4124168131689d-05,
-     |   2.4054918357245d-04, 1.1100595138328d-03, 4.3808424406873d-03,
-     |   1.4905382482075d-02, 4.3988107870070d-02, 1.1305959293485d-01,
-     |   2.5357576065330d-01, 4.9598878235095d-01, 8.4258388021709d-01,
-     |   1.2312256686588d+00, 1.5168830466916d+00, 1.5077369295877d+00,
-     |   1.0693292260107d+00, 2.5168697458412d-01,-6.5823217898330d-01,
-     |  -1.2402798106596d+00,-1.1778531692451d+00,-4.8057564732052d-01,
-     |   4.8057564732052d-01, 1.1778531692451d+00, 1.2402798106596d+00,
-     |   6.5823217898330d-01,-2.5168697458412d-01,-1.0693292260107d+00,
-     |  -1.5077369295877d+00,-1.5168830466916d+00,-1.2312256686588d+00,
-     |  -8.4258388021709d-01,-4.9598878235095d-01,-2.5357576065330d-01,
-     |  -1.1305959293485d-01,-4.3988107870070d-02,-1.4905382482075d-02,
-     |  -4.3808424406874d-03,-1.1100595138328d-03,-2.4054918357246d-04,
-     |  -4.4124168131689d-05,-6.7643220923319d-06,-8.5313003056931d-07,
-     |  -8.6822487202254d-08,-6.9608314434684d-09,-4.2668769095335d-10,
-     |  -1.9256550276788d-11,-6.0959277991878d-13,-1.2706007907641d-14,
-     |  -1.6020731629257d-16,-1.0871092761016d-18,-3.3572979418195d-21,
-     |  -3.6665184919253d-24,-9.4389742157773d-28,-2.8023482198481d-32,
-     |  -2.2520361086661d-38,-1.1565991130697d-47,-1.0919632944072d-67/
-      data (pmn(lat,43,45), lat = 1,72)/
-     |   4.5016601685676d-70, 1.4323845747680d-49, 4.6610758380787d-40,
-     |   8.1535715461983d-34, 3.5505417369309d-29, 1.6974659520018d-25,
-     |   1.8525155577271d-22, 6.9909813875202d-20, 1.1812727842587d-17,
-     |   1.0611145041271d-15, 5.7123724388379d-14, 2.0102434949696d-12,
-     |   4.9347307943803d-11, 8.8810699226602d-10, 1.2182517175446d-08,
-     |   1.3136782295679d-07, 1.1416005050261d-06, 8.1580840084201d-06,
-     |   4.8741476769764d-05, 2.4680626711133d-04, 1.0710761713036d-03,
-     |   4.0203428097508d-03, 1.3148650154127d-02, 3.7684710896978d-02,
-     |   9.5043960998500d-02, 2.1147562095691d-01, 4.1539750392977d-01,
-     |   7.1910094326485d-01, 1.0914013659224d+00, 1.4363604227848d+00,
-     |   1.6025778176203d+00, 1.4398612097711d+00, 8.8970046020223d-01,
-     |   5.8938085222015d-02,-7.8450359157372d-01,-1.3166899590895d+00,
-     |  -1.3166899590895d+00,-7.8450359157373d-01, 5.8938085222012d-02,
-     |   8.8970046020223d-01, 1.4398612097711d+00, 1.6025778176203d+00,
-     |   1.4363604227848d+00, 1.0914013659225d+00, 7.1910094326485d-01,
-     |   4.1539750392977d-01, 2.1147562095691d-01, 9.5043960998500d-02,
-     |   3.7684710896978d-02, 1.3148650154127d-02, 4.0203428097508d-03,
-     |   1.0710761713037d-03, 2.4680626711133d-04, 4.8741476769764d-05,
-     |   8.1580840084202d-06, 1.1416005050262d-06, 1.3136782295679d-07,
-     |   1.2182517175446d-08, 8.8810699226601d-10, 4.9347307943804d-11,
-     |   2.0102434949696d-12, 5.7123724388379d-14, 1.0611145041272d-15,
-     |   1.1812727842588d-17, 6.9909813875203d-20, 1.8525155577271d-22,
-     |   1.6974659520019d-25, 3.5505417369309d-29, 8.1535715461983d-34,
-     |   4.6610758380787d-40, 1.4323845747680d-49, 4.5016601685676d-70/
-      data (pmn(lat,44,45), lat = 1,72)/
-     |   1.4892193715661d-72, 1.4234346998471d-51, 7.7402939271843d-42,
-     |   1.9031468633754d-35, 1.0712209230014d-30, 6.3016635521660d-27,
-     |   8.1942201396286d-24, 3.6025978405438d-21, 6.9765175255921d-19,
-     |   7.0942942343552d-17, 4.2827301365435d-15, 1.6777784593813d-13,
-     |   4.5589842118823d-12, 9.0426179101165d-11, 1.3625931481780d-09,
-     |   1.6102671412424d-08, 1.5312343975207d-07, 1.1964819464285d-06,
-     |   7.8162907616196d-06, 4.3307225449404d-05, 2.0596181912612d-04,
-     |   8.4923508712315d-04, 3.0613497218916d-03, 9.7151620523349d-03,
-     |   2.7295784264651d-02, 6.8201716814742d-02, 1.5205375749697d-01,
-     |   3.0312966623079d-01, 5.4078112790721d-01, 8.6248690902984d-01,
-     |   1.2255000632267d+00, 1.5396508241124d+00, 1.6843232400475d+00,
-     |   1.5520756450794d+00, 1.1029964210381d+00, 4.0007199799616d-01,
-     |  -4.0007199799616d-01,-1.1029964210381d+00,-1.5520756450794d+00,
-     |  -1.6843232400475d+00,-1.5396508241124d+00,-1.2255000632267d+00,
-     |  -8.6248690902984d-01,-5.4078112790721d-01,-3.0312966623079d-01,
-     |  -1.5205375749697d-01,-6.8201716814742d-02,-2.7295784264651d-02,
-     |  -9.7151620523349d-03,-3.0613497218916d-03,-8.4923508712315d-04,
-     |  -2.0596181912612d-04,-4.3307225449404d-05,-7.8162907616197d-06,
-     |  -1.1964819464285d-06,-1.5312343975207d-07,-1.6102671412424d-08,
-     |  -1.3625931481780d-09,-9.0426179101164d-11,-4.5589842118825d-12,
-     |  -1.6777784593813d-13,-4.2827301365435d-15,-7.0942942343555d-17,
-     |  -6.9765175255924d-19,-3.6025978405438d-21,-8.1942201396286d-24,
-     |  -6.3016635521665d-27,-1.0712209230014d-30,-1.9031468633754d-35,
-     |  -7.7402939271843d-42,-1.4234346998471d-51,-1.4892193715661d-72/
-      data (pmn(lat,45,45), lat = 1,72)/
-     |   3.4252613438808d-75, 9.8343503581297d-54, 8.9355431304871d-44,
-     |   3.0876723477082d-37, 2.2460508182098d-32, 1.6254183710590d-28,
-     |   2.5175918769169d-25, 1.2890678927916d-22, 2.8597734287907d-20,
-     |   3.2904175490136d-18, 2.2262527253330d-16, 9.7025085664059d-15,
-     |   2.9161043917587d-13, 6.3689158761648d-12, 1.0531382119615d-10,
-     |   1.3622839332803d-09, 1.4154950642749d-08, 1.2073389395878d-07,
-     |   8.6066697572713d-07, 5.2053647709530d-06, 2.7050450724459d-05,
-     |   1.2208610816314d-04, 4.8294658973468d-04, 1.6876118296590d-03,
-     |   5.2444946534201d-03, 1.4578036828072d-02, 3.6426113067699d-02,
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-      data (pmn(lat, 0,46), lat = 1,72)/
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-      data (pmn(lat, 1,46), lat = 1,72)/
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-     |   2.2851586204253d+00,-2.2017533292587d+00,-3.0325928861417d+00/
-      data (pmn(lat, 2,46), lat = 1,72)/
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-      data (pmn(lat, 3,46), lat = 1,72)/
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-     |  -2.4060028907026d+00,-2.1578721066958d+00,-1.3876016969485d-01/
-      data (pmn(lat, 4,46), lat = 1,72)/
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-     |   2.6916345298851d+00, 9.3702256603346d-01, 1.7777491171503d-02/
-      data (pmn(lat, 5,46), lat = 1,72)/
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-      data (pmn(lat, 6,46), lat = 1,72)/
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-      data (pmn(lat, 7,46), lat = 1,72)/
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-      data (pmn(lat,12,46), lat = 1,72)/
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-      data (pmn(lat,15,46), lat = 1,72)/
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-      data (pmn(lat,17,46), lat = 1,72)/
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-      data (pmn(lat,18,46), lat = 1,72)/
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-      data (pmn(lat,19,46), lat = 1,72)/
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-      data (pmn(lat,20,46), lat = 1,72)/
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-      data (pmn(lat,21,46), lat = 1,72)/
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-      data (pmn(lat,22,46), lat = 1,72)/
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-      data (pmn(lat,23,46), lat = 1,72)/
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-      data (pmn(lat,24,46), lat = 1,72)/
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-      data (pmn(lat,25,46), lat = 1,72)/
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-      data (pmn(lat,26,46), lat = 1,72)/
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-      data (pmn(lat,27,46), lat = 1,72)/
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-      data (pmn(lat,28,46), lat = 1,72)/
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-      data (pmn(lat,29,46), lat = 1,72)/
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-      data (pmn(lat,30,46), lat = 1,72)/
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-      data (pmn(lat,31,46), lat = 1,72)/
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-      data (pmn(lat,32,46), lat = 1,72)/
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-      data (pmn(lat,33,46), lat = 1,72)/
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-      data (pmn(lat,34,46), lat = 1,72)/
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-      data (pmn(lat,35,46), lat = 1,72)/
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-      data (pmn(lat,36,46), lat = 1,72)/
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-      data (pmn(lat,37,46), lat = 1,72)/
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-      data (pmn(lat,38,46), lat = 1,72)/
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-      data (pmn(lat,39,46), lat = 1,72)/
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-      data (pmn(lat,40,46), lat = 1,72)/
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-     |   4.0175616502499d-21, 1.5852158796030d-24, 7.9399142943779d-29,
-     |   1.2697222949988d-34, 1.8297030871738d-43, 1.5625184344957d-62/
-      data (pmn(lat,41,46), lat = 1,72)/
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-     |   3.4101685985157d-30, 8.8079086312340d-26, 2.7496943801768d-22,
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-     |  -3.8774657729134d-36,-3.3423399794744d-45,-9.4998347163265d-65/
-      data (pmn(lat,42,46), lat = 1,72)/
-     |   5.1764209093608d-67, 5.4716590092210d-47, 1.0610520004814d-37,
-     |   1.3122325280970d-31, 4.3835954245018d-27, 1.6851898532040d-23,
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-     |   1.7072586934726d-09, 2.7011535478946d-08, 3.2569389227910d-07,
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-     |   1.1027648045717d+00, 3.2007829392277d-01,-6.9154003433214d-01,
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-     |   1.2762012299122d+00, 8.7413173160337d-01, 5.0537625834362d-01,
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-     |   1.4619587456897d-04, 2.3455701711518d-05, 3.0828538441401d-06,
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-     |   7.9205978335333d-11, 2.5702850262795d-12, 5.4771358982339d-14,
-     |   7.0425297164633d-16, 4.8614885550844d-18, 1.5237868179334d-20,
-     |   1.6851898532041d-23, 4.3835954245018d-27, 1.3122325280970d-31,
-     |   1.0610520004814d-37, 5.4716590092210d-47, 5.1764209093608d-67/
-      data (pmn(lat,43,46), lat = 1,72)/
-     |   2.4781055416718d-69, 7.8693983213705d-49, 2.5505503631699d-39,
-     |   4.4349110469663d-33, 1.9157235293039d-28, 9.0664362140359d-25,
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-     |   4.8830712667258d-01, 1.1910059535992d+00, 1.2381699728094d+00,
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-     |  -2.5505503631699d-39,-7.8693983213705d-49,-2.4781055416718d-69/
-      data (pmn(lat,44,46), lat = 1,72)/
-     |   1.0096713933008d-71, 9.6319229188238d-51, 5.2172014336784d-41,
-     |   1.2752661530690d-34, 7.1217881867990d-30, 4.1482546850852d-26,
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-     |   2.6323035012995d-11, 5.0735019606381d-10, 7.4073980322808d-09,
-     |   8.4554312583421d-08, 7.7404614437248d-07, 5.8015557460620d-06,
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-     |   3.3350345345389d-03, 1.1246927643498d-02, 3.3147296293170d-02,
-     |   8.5747537732156d-02, 1.9521730197070d-01, 3.9146100891077d-01,
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-     |  -1.3220346548466d+00,-7.7609933945237d-01, 8.4361932533498d-02,
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-     |   4.1482546850855d-26, 7.1217881867990d-30, 1.2752661530690d-34,
-     |   5.2172014336784d-41, 9.6319229188238d-51, 1.0096713933008d-71/
-      data (pmn(lat,45,46), lat = 1,72)/
-     |   3.3024163438269d-74, 9.4635982649757d-53, 8.5659084501798d-43,
-     |   2.9429881072751d-36, 2.1243936363984d-31, 1.5225754997849d-27,
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-     |  -8.5659084501798d-43,-9.4635982649757d-53,-3.3024163438269d-74/
-      data (pmn(lat,46,46), lat = 1,72)/
-     |   7.5126680965200d-77, 6.4668347706086d-55, 9.7805723989931d-45,
-     |   4.7225302996127d-38, 4.4055776918785d-33, 3.8843300967199d-29,
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-     |   1.3323875104413d-18, 9.8998327794083d-17, 4.6920921322638d-15,
-     |   1.5209964781125d-13, 3.5575584296757d-12, 6.2610604512645d-11,
-     |   8.5730712504008d-10, 9.3835932460952d-09, 8.3941582514126d-08,
-     |   6.2508455923088d-07, 3.9348125291614d-06, 2.1210570310756d-05,
-     |   9.8989322232002d-05, 4.0373188177790d-04, 1.4505792776119d-03,
-     |   4.6229103137713d-03, 1.3145509653564d-02, 3.3521952079016d-02,
-     |   7.6994576521693d-02, 1.5987645375401d-01, 3.0107427401279d-01,
-     |   5.1556168732943d-01, 8.0456418804743d-01, 1.1462712813553d+00,
-     |   1.4930193327280d+00, 1.7796728374442d+00, 1.9426958265049d+00,
-     |   1.9426958265049d+00, 1.7796728374442d+00, 1.4930193327280d+00,
-     |   1.1462712813553d+00, 8.0456418804743d-01, 5.1556168732943d-01,
-     |   3.0107427401279d-01, 1.5987645375401d-01, 7.6994576521694d-02,
-     |   3.3521952079016d-02, 1.3145509653564d-02, 4.6229103137713d-03,
-     |   1.4505792776119d-03, 4.0373188177790d-04, 9.8989322232002d-05,
-     |   2.1210570310756d-05, 3.9348125291614d-06, 6.2508455923089d-07,
-     |   8.3941582514127d-08, 9.3835932460953d-09, 8.5730712504010d-10,
-     |   6.2610604512644d-11, 3.5575584296756d-12, 1.5209964781125d-13,
-     |   4.6920921322638d-15, 9.8998327794083d-17, 1.3323875104413d-18,
-     |   1.0421085482324d-20, 4.1660314964102d-23, 7.0831368307139d-26,
-     |   3.8843300967202d-29, 4.4055776918785d-33, 4.7225302996127d-38,
-     |   9.7805723989931d-45, 6.4668347706086d-55, 7.5126680965200d-77/
-      data (pmn(lat, 0,47), lat = 1,72)/
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-     |   2.0143815091091d+00,-1.1267197816616d+00,-6.2569249057752d-01,
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-     |   9.2896643766149d-01,-3.2213357371586d-01,-5.8968899420020d-01,
-     |   8.6908453896026d-01,-2.5252191492226d-01,-6.0445769572952d-01,
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-     |   7.4429378045780d-01,-7.8546863977837d-02,-6.6257259633691d-01,
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-      data (pmn(lat, 4,47), lat = 1,72)/
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-      data (pmn(lat, 5,47), lat = 1,72)/
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-      data (pmn(lat, 6,47), lat = 1,72)/
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-      data (pmn(lat, 7,47), lat = 1,72)/
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-      data (pmn(lat, 8,47), lat = 1,72)/
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-      data (pmn(lat, 9,47), lat = 1,72)/
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-      data (pmn(lat,10,47), lat = 1,72)/
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-      data (pmn(lat,11,47), lat = 1,72)/
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-      data (pmn(lat,12,47), lat = 1,72)/
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-      data (pmn(lat,13,47), lat = 1,72)/
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-      data (pmn(lat,14,47), lat = 1,72)/
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-      data (pmn(lat,15,47), lat = 1,72)/
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-     |   4.3028700139598d-06, 2.6324602986800d-09, 2.0894829213278d-16/
-      data (pmn(lat,16,47), lat = 1,72)/
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-      data (pmn(lat,17,47), lat = 1,72)/
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-      data (pmn(lat,18,47), lat = 1,72)/
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-      data (pmn(lat,19,47), lat = 1,72)/
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-      data (pmn(lat,20,47), lat = 1,72)/
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-      data (pmn(lat,21,47), lat = 1,72)/
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-      data (pmn(lat,22,47), lat = 1,72)/
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-      data (pmn(lat,23,47), lat = 1,72)/
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-      data (pmn(lat,24,47), lat = 1,72)/
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-      data (pmn(lat,25,47), lat = 1,72)/
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-      data (pmn(lat,26,47), lat = 1,72)/
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-      data (pmn(lat,27,47), lat = 1,72)/
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-     |   1.4686504428697d-17, 1.7237323943430d-23, 2.4200658850098d-36/
-      data (pmn(lat,28,47), lat = 1,72)/
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-     |   1.1335267388853d-14, 9.8916658562120d-12, 1.9498574823956d-09,
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-     |  -1.1183919743670d-18,-7.8286793560554d-25,-3.6528600910588d-38/
-      data (pmn(lat,29,47), lat = 1,72)/
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-     |   8.0634885766924d-20, 3.3675832152922d-26, 5.2230875771931d-40/
-      data (pmn(lat,30,47), lat = 1,72)/
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-      data (pmn(lat,31,47), lat = 1,72)/
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-     |   3.5533586602030d-22, 5.2874886503920d-29, 9.0654617883589d-44/
-      data (pmn(lat,32,47), lat = 1,72)/
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-      data (pmn(lat,33,47), lat = 1,72)/
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-      data (pmn(lat,34,47), lat = 1,72)/
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-      data (pmn(lat,35,47), lat = 1,72)/
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-      data (pmn(lat,36,47), lat = 1,72)/
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-      data (pmn(lat,37,47), lat = 1,72)/
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-      data (pmn(lat,38,47), lat = 1,72)/
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-      data (pmn(lat,39,47), lat = 1,72)/
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-      data (pmn(lat,40,47), lat = 1,72)/
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-     |  -4.4933378388390d-34,-6.5034548098119d-43,-5.5659280928012d-62/
-      data (pmn(lat,41,47), lat = 1,72)/
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-     |   1.4908524297624d-35, 1.2906090815011d-44, 3.6760923864032d-64/
-      data (pmn(lat,42,47), lat = 1,72)/
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-     |  -4.4950605542851d-37,-2.3277251577767d-46,-2.2067184801097d-66/
-      data (pmn(lat,43,47), lat = 1,72)/
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-     |   2.0997193669165d-32, 8.9956310445126d-28, 4.2133908958128d-24,
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-     |   1.2150071260619d-38, 3.7640782785508d-48, 1.1877388836076d-68/
-      data (pmn(lat,44,47), lat = 1,72)/
-     |   5.6189153732259d-71, 5.3495971251429d-50, 2.8861122263760d-40,
-     |   7.0124262201969d-34, 3.8847332349675d-29, 2.2399553578668d-25,
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-     |  -2.8861122263760d-40,-5.3495971251429d-50,-5.6189153732259d-71/
-      data (pmn(lat,45,47), lat = 1,72)/
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-     |   1.9933875052517d-35, 1.4276487178629d-30, 1.0131354966962d-26,
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-     |   2.7648176754352d-03, 9.6142100025425d-03, 2.9137718102368d-02,
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-     |  -1.3272548156024d+00,-7.6755066205405d-01, 1.0973930515134d-01,
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-     |   1.0131354966963d-26, 1.4276487178629d-30, 1.9933875052517d-35,
-     |   5.8361580995125d-42, 6.4729820933551d-52, 2.2632131559567d-73/
-      data (pmn(lat,46,47), lat = 1,72)/
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-     |   4.5493817395550d-37, 4.2115174682639d-32, 3.6774784071396d-28,
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-     |  -9.4762623060242d-44,-6.2895954557391d-54,-7.3207005485940d-76/
-      data (pmn(lat,47,47), lat = 1,72)/
-     |   1.6475742924158d-78, 4.2519501906201d-56, 1.0704290931098d-45,
-     |   7.2221850661926d-39, 8.6404520772091d-34, 9.2814837995001d-30,
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-     |   7.9323828181412d-14, 1.9869589102404d-12, 3.7218660449802d-11,
-     |   5.3945540266135d-10, 6.2198556236421d-09, 5.8354642446744d-08,
-     |   4.5393400565827d-07, 2.9740429620518d-06, 1.6629550157564d-05,
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-     |   1.9525372158979d+00, 1.7852835082022d+00, 1.4920188360682d+00,
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-     |   1.6629550157564d-05, 2.9740429620519d-06, 4.5393400565827d-07,
-     |   5.8354642446744d-08, 6.2198556236422d-09, 5.3945540266136d-10,
-     |   3.7218660449801d-11, 1.9869589102404d-12, 7.9323828181415d-14,
-     |   2.2688163475603d-15, 4.4018127991181d-17, 5.3946144153513d-19,
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-     |   9.2814837995009d-30, 8.6404520772091d-34, 7.2221850661926d-39,
-     |   1.0704290931098d-45, 4.2519501906201d-56, 1.6475742924158d-78/
-      data (pmn(lat, 0,48), lat = 1,72)/
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-     |   1.9386752542355d+00,-1.3805644209207d+00,-2.4817406155937d-01,
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-     |   7.3989242228472d-01,-8.6043612258068d-01, 1.6474259107989d-01,
-     |   6.6266471713726d-01,-8.3686913262737d-01, 2.1292421126731d-01,
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-     |   4.8619371638303d-01,-8.0172019003546d-01, 3.4679777636914d-01,
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-      data (pmn(lat, 5,48), lat = 1,72)/
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-      data (pmn(lat, 9,48), lat = 1,72)/
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-      data (pmn(lat,10,48), lat = 1,72)/
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-     |   1.5745704849672d-02, 1.4433795276928d-04, 2.9930816524791d-09/
-      data (pmn(lat,11,48), lat = 1,72)/
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-      data (pmn(lat,12,48), lat = 1,72)/
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-      data (pmn(lat,13,48), lat = 1,72)/
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-      data (pmn(lat,14,48), lat = 1,72)/
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-      data (pmn(lat,15,48), lat = 1,72)/
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-     |  -5.8985574282571d-06,-3.6516044035621d-09,-2.9151830408360d-16/
-      data (pmn(lat,16,48), lat = 1,72)/
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-      data (pmn(lat,25,48), lat = 1,72)/
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-      data (pmn(lat,26,48), lat = 1,72)/
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-      data (pmn(lat,27,48), lat = 1,72)/
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-      data (pmn(lat,28,48), lat = 1,72)/
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-      data (pmn(lat,29,48), lat = 1,72)/
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-      data (pmn(lat,30,48), lat = 1,72)/
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-      data (pmn(lat,31,48), lat = 1,72)/
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-      data (pmn(lat,32,48), lat = 1,72)/
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-      data (pmn(lat,33,48), lat = 1,72)/
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-      data (pmn(lat,34,48), lat = 1,72)/
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-      data (pmn(lat,35,48), lat = 1,72)/
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-      data (pmn(lat,36,48), lat = 1,72)/
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-      data (pmn(lat,37,48), lat = 1,72)/
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-      data (pmn(lat,38,48), lat = 1,72)/
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-      data (pmn(lat,39,48), lat = 1,72)/
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-      data (pmn(lat,40,48), lat = 1,72)/
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-     |   4.4834049080108d-20, 1.8094700408946d-23, 9.2270616223396d-28,
-     |   1.4953923899659d-33, 2.1740740354035d-42, 1.8648202789379d-61/
-      data (pmn(lat,41,48), lat = 1,72)/
-     |   1.3241534984689d-63, 4.6387459590909d-44, 5.3351077494547d-35,
-     |   4.6314123057112d-29, 1.1754889987821d-24, 3.5897252813346d-21,
-     |   2.6498757058856d-18, 7.0230814662553d-16, 8.5462827673883d-14,
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-     |  -3.5897252813348d-21,-1.1754889987821d-24,-4.6314123057112d-29,
-     |  -5.3351077494547d-35,-4.6387459590909d-44,-1.3241534984689d-63/
-      data (pmn(lat,42,48), lat = 1,72)/
-     |   8.6337852308764d-66, 9.0878684639384d-46, 1.7474836067312d-36,
-     |   2.1338506569529d-30, 7.0076947747777d-26, 2.6366989752766d-22,
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-     |   7.5019147055321d-13, 3.3620183949293d-11, 9.8381742568164d-10,
-     |   2.0015471376244d-08, 2.9695994252847d-07, 3.3340255842556d-06,
-     |   2.9157631404549d-05, 2.0320979383018d-04, 1.1489859273082d-03,
-     |   5.3440019387474d-03, 2.0656649455167d-02, 6.6818724826537d-02,
-     |   1.8149656408759d-01, 4.1367529335237d-01, 7.8608872191607d-01,
-     |   1.2256936066382d+00, 1.5135731910501d+00, 1.3532343163865d+00,
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-     |  -9.7188964403442d-01, 4.3020267671640d-02, 9.9964013876631d-01,
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-     |  -9.7336095705037d-01, 1.7639425790390d-02, 9.9713750438568d-01,
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-     |   1.3532343163865d+00, 1.5135731910501d+00, 1.2256936066382d+00,
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-     |   6.6818724826538d-02, 2.0656649455167d-02, 5.3440019387474d-03,
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-     |   9.8381742568164d-10, 3.3620183949293d-11, 7.5019147055323d-13,
-     |   1.0046664560599d-14, 7.1866407398542d-17, 2.3228851514222d-19,
-     |   2.6366989752768d-22, 7.0076947747777d-26, 2.1338506569529d-30,
-     |   1.7474836067312d-36, 9.0878684639384d-46, 8.6337852308764d-66/
-      data (pmn(lat,43,48), lat = 1,72)/
-     |   5.1187977594521d-68, 1.6188355183468d-47, 5.2037047362111d-38,
-     |   8.9365223702296d-32, 3.7964919766790d-27, 1.7594527113277d-23,
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-     |   9.0765736429685d-14, 4.5731607330276d-12, 1.4942356165017d-10,
-     |   3.3769748056778d-09, 5.5449844917172d-08, 6.8726440140870d-07,
-     |   6.6260090212132d-06, 5.0891336504444d-05, 3.1735189196301d-04,
-     |   1.6310417989326d-03, 6.9900525320594d-03, 2.5197031381800d-02,
-     |   7.6838882344594d-02, 1.9877168139398d-01, 4.3576282291822d-01,
-     |   8.0467611064804d-01, 1.2335201629166d+00, 1.5208581843861d+00,
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-     |   7.7221408928799d-01, 1.1715409119813d+00, 5.5215333290487d-01,
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-     |  -1.4942356165017d-10,-4.5731607330276d-12,-9.0765736429687d-14,
-     |  -1.0714536506121d-15,-6.6753532797131d-18,-1.8491922692643d-20,
-     |  -1.7594527113279d-23,-3.7964919766790d-27,-8.9365223702296d-32,
-     |  -5.2037047362111d-38,-1.6188355183468d-47,-5.1187977594521d-68/
-      data (pmn(lat,44,48), lat = 1,72)/
-     |   2.7222638652924d-70, 2.5865209712132d-49, 1.3897557552700d-39,
-     |   3.3560532993100d-33, 1.8439513391671d-28, 1.0522784937000d-24,
-     |   1.3189210515557d-21, 5.5528763499703d-19, 1.0228119559157d-16,
-     |   9.8237038312044d-15, 5.5605687368584d-13, 2.0269097060191d-11,
-     |   5.0834106235822d-10, 9.2265294149338d-09, 1.2606099022643d-07,
-     |   1.3374891835977d-06, 1.1296726540257d-05, 7.7487686066813d-05,
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-     |   2.8176852562651d-02, 8.1868625620637d-02, 2.0386884337576d-01,
-     |   4.3479213060416d-01, 7.9016218346508d-01, 1.2089975219083d+00,
-     |   1.5180835617371d+00, 1.4743485521341d+00, 9.1784181300429d-01,
-     |  -3.7119405879638d-02,-9.4842303841540d-01,-1.2675211473137d+00,
-     |  -7.4724561747138d-01, 2.8867993272216d-01, 1.1087625936899d+00,
-     |   1.1087625936899d+00, 2.8867993272217d-01,-7.4724561747138d-01,
-     |  -1.2675211473137d+00,-9.4842303841540d-01,-3.7119405879635d-02,
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-     |   1.2089975219083d+00, 7.9016218346509d-01, 4.3479213060416d-01,
-     |   2.0386884337576d-01, 8.1868625620637d-02, 2.8176852562651d-02,
-     |   8.2912596483616d-03, 2.0754312746813d-03, 4.3862880446702d-04,
-     |   7.7487686066813d-05, 1.1296726540258d-05, 1.3374891835978d-06,
-     |   1.2606099022642d-07, 9.2265294149337d-09, 5.0834106235824d-10,
-     |   2.0269097060191d-11, 5.5605687368584d-13, 9.8237038312047d-15,
-     |   1.0228119559157d-16, 5.5528763499704d-19, 1.3189210515557d-21,
-     |   1.0522784937001d-24, 1.8439513391671d-28, 3.3560532993100d-33,
-     |   1.3897557552700d-39, 2.5865209712132d-49, 2.7222638652924d-70/
-      data (pmn(lat,45,48), lat = 1,72)/
-     |   1.2729827323960d-72, 3.6336065497337d-51, 3.2630947905858d-41,
-     |   1.1078697215145d-34, 7.8709352129529d-30, 5.5294074363680d-26,
-     |   8.2624245865133d-23, 4.0554616907618d-20, 8.5681894021233d-18,
-     |   9.3250855902014d-16, 5.9259066149402d-14, 2.4079027515720d-12,
-     |   6.6952449152021d-11, 1.3417793575255d-09, 2.0182424793757d-08,
-     |   2.3527984984044d-07, 2.1812195794457d-06, 1.6419776182965d-05,
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-     |   8.8182581749079d-03, 2.8551150874814d-02, 7.9869439264306d-02,
-     |   1.9353208446686d-01, 4.0619721443103d-01, 7.3596248453148d-01,
-     |   1.1412007557183d+00, 1.4872621224152d+00, 1.5662418564679d+00,
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-     |   5.0361428234022d-01, 1.2164323759222d+00, 1.2320944469841d+00,
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-     |  -7.9869439264307d-02,-2.8551150874814d-02,-8.8182581749079d-03,
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-     |  -8.5681894021237d-18,-4.0554616907619d-20,-8.2624245865133d-23,
-     |  -5.5294074363685d-26,-7.8709352129529d-30,-1.1078697215145d-34,
-     |  -3.2630947905858d-41,-3.6336065497337d-51,-1.2729827323960d-72/
-      data (pmn(lat,46,48), lat = 1,72)/
-     |   5.0701414253057d-75, 4.3475541811073d-53, 6.5247766137670d-43,
-     |   3.1140941160015d-36, 2.8602414698542d-31, 2.4729685490766d-27,
-     |   4.4040811121576d-24, 2.5191876136393d-21, 6.1022171744070d-19,
-     |   7.5215568088053d-17, 5.3628946073242d-15, 2.4273758747166d-13,
-     |   7.4765476481011d-12, 1.6527682472439d-10, 2.7336362522928d-09,
-     |   3.4965964102647d-08, 3.5521122656809d-07, 2.9286628221911d-06,
-     |   1.9948178699779d-05, 1.1390324515138d-04, 5.5181965178984d-04,
-     |   2.2907268519611d-03, 8.2135733662663d-03, 2.5597614368462d-02,
-     |   6.9661376580595d-02, 1.6603433218315d-01, 3.4696375079568d-01,
-     |   6.3486807060608d-01, 1.0123928200423d+00, 1.3924919626150d+00,
-     |   1.6172208105152d+00, 1.5116778847063d+00, 9.8676197126935d-01,
-     |   1.3506253493160d-01,-7.5886343032714d-01,-1.3323546755838d+00,
-     |  -1.3323546755838d+00,-7.5886343032714d-01, 1.3506253493160d-01,
-     |   9.8676197126935d-01, 1.5116778847063d+00, 1.6172208105152d+00,
-     |   1.3924919626150d+00, 1.0123928200423d+00, 6.3486807060608d-01,
-     |   3.4696375079568d-01, 1.6603433218315d-01, 6.9661376580595d-02,
-     |   2.5597614368463d-02, 8.2135733662663d-03, 2.2907268519611d-03,
-     |   5.5181965178986d-04, 1.1390324515138d-04, 1.9948178699779d-05,
-     |   2.9286628221911d-06, 3.5521122656809d-07, 3.4965964102647d-08,
-     |   2.7336362522928d-09, 1.6527682472439d-10, 7.4765476481013d-12,
-     |   2.4273758747166d-13, 5.3628946073242d-15, 7.5215568088055d-17,
-     |   6.1022171744072d-19, 2.5191876136393d-21, 4.4040811121576d-24,
-     |   2.4729685490768d-27, 2.8602414698542d-31, 3.1140941160015d-36,
-     |   6.5247766137670d-43, 4.3475541811073d-53, 5.0701414253057d-75/
-      data (pmn(lat,47,48), lat = 1,72)/
-     |   1.6222863402784d-77, 4.1787191251350d-55, 1.0479842847324d-44,
-     |   7.0302424788894d-38, 8.3463438424874d-33, 8.8792335011757d-29,
-     |   1.8840650910714d-25, 1.2555193897107d-22, 3.4853793333127d-20,
-     |   4.8631222230936d-18, 3.8881969996303d-16, 1.9590678174581d-14,
-     |   6.6789913300737d-13, 1.6271258133341d-11, 2.9561137795656d-10,
-     |   4.1435415063674d-09, 4.6056558986567d-08, 4.1516176620279d-07,
-     |   3.0915691825647d-06, 1.9312849629945d-05, 1.0251504494638d-04,
-     |   4.6737082600885d-04, 1.8465545387167d-03, 6.3697757083417d-03,
-     |   1.9301826484670d-02, 5.1629489439369d-02, 1.2235280565107d-01,
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-     |   1.1785282126058d+00, 1.5242426365956d+00, 1.7064083326636d+00,
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-     |  -1.0251504494639d-04,-1.9312849629945d-05,-3.0915691825647d-06,
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-     |  -2.9561137795656d-10,-1.6271258133341d-11,-6.6789913300739d-13,
-     |  -1.9590678174581d-14,-3.8881969996303d-16,-4.8631222230937d-18,
-     |  -3.4853793333128d-20,-1.2555193897107d-22,-1.8840650910714d-25,
-     |  -8.8792335011765d-29,-8.3463438424874d-33,-7.0302424788894d-38,
-     |  -1.0479842847324d-44,-4.1787191251350d-55,-1.6222863402784d-77/
-      data (pmn(lat,48,48), lat = 1,72)/
-     |   3.6128354869130d-80, 2.7953548529909d-57, 1.1713964702289d-46,
-     |   1.1043706279126d-39, 1.6944253569189d-34, 2.2175379803143d-30,
-     |   5.6047886752260d-27, 4.3497978015473d-24, 1.3833390190330d-21,
-     |   2.1839497363479d-19, 1.9569857064370d-17, 1.0969441820483d-15,
-     |   4.1364854082220d-14, 1.1096297839990d-12, 2.2122079782179d-11,
-     |   3.3941187701242d-10, 4.1223400012857d-09, 4.0562624487078d-08,
-     |   3.2960898384540d-07, 2.2476195707991d-06, 1.3036500676228d-05,
-     |   6.5055730544222d-05, 2.8205508635643d-04, 1.0713522605337d-03,
-     |   3.5908074319003d-03, 1.0685311922475d-02, 2.8380186514665d-02,
-     |   6.7584548942301d-02, 1.4486667870982d-01, 2.8042023338906d-01,
-     |   4.9155618003810d-01, 7.8208994598936d-01, 1.1315329031659d+00,
-     |   1.4908555119668d+00, 1.7907154847122d+00, 1.9622132698534d+00,
-     |   1.9622132698534d+00, 1.7907154847122d+00, 1.4908555119668d+00,
-     |   1.1315329031659d+00, 7.8208994598936d-01, 4.9155618003810d-01,
-     |   2.8042023338906d-01, 1.4486667870982d-01, 6.7584548942301d-02,
-     |   2.8380186514665d-02, 1.0685311922475d-02, 3.5908074319003d-03,
-     |   1.0713522605337d-03, 2.8205508635643d-04, 6.5055730544222d-05,
-     |   1.3036500676229d-05, 2.2476195707991d-06, 3.2960898384540d-07,
-     |   4.0562624487078d-08, 4.1223400012858d-09, 3.3941187701243d-10,
-     |   2.2122079782178d-11, 1.1096297839990d-12, 4.1364854082221d-14,
-     |   1.0969441820483d-15, 1.9569857064370d-17, 2.1839497363480d-19,
-     |   1.3833390190331d-21, 4.3497978015474d-24, 5.6047886752260d-27,
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-     |   1.1713964702289d-46, 2.7953548529909d-57, 3.6128354869130d-80/
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-      data (pmn(lat, 1,49), lat = 1,72)/
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-      data (pmn(lat, 2,49), lat = 1,72)/
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-      data (pmn(lat, 3,49), lat = 1,72)/
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-      data (pmn(lat, 4,49), lat = 1,72)/
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-      data (pmn(lat, 5,49), lat = 1,72)/
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-      data (pmn(lat, 6,49), lat = 1,72)/
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-      data (pmn(lat, 7,49), lat = 1,72)/
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-      data (pmn(lat, 8,49), lat = 1,72)/
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-      data (pmn(lat, 9,49), lat = 1,72)/
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-      data (pmn(lat,10,49), lat = 1,72)/
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-      data (pmn(lat,11,49), lat = 1,72)/
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-      data (pmn(lat,12,49), lat = 1,72)/
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-      data (pmn(lat,13,49), lat = 1,72)/
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-      data (pmn(lat,14,49), lat = 1,72)/
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-      data (pmn(lat,15,49), lat = 1,72)/
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-      data (pmn(lat,16,49), lat = 1,72)/
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-      data (pmn(lat,17,49), lat = 1,72)/
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-     |   2.0330953021349d-07, 4.4271871425993d-11, 3.8834443532059d-19/
-      data (pmn(lat,18,49), lat = 1,72)/
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-     |  -2.9187176686460d-08,-3.7572385017513d-12,-1.0906922254377d-20/
-      data (pmn(lat,19,49), lat = 1,72)/
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-     |   3.9272490580175d-09, 2.9930330293413d-13, 2.8773458295742d-22/
-      data (pmn(lat,20,49), lat = 1,72)/
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-     |  -4.9650443107923d-10,-2.2430394115065d-14,-7.1453513421785d-24/
-      data (pmn(lat,21,49), lat = 1,72)/
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-     |   5.9103549485861d-11, 1.5844739367226d-15, 1.6734055538529d-25/
-      data (pmn(lat,22,49), lat = 1,72)/
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-      data (pmn(lat,23,49), lat = 1,72)/
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-     |   1.2285862057174d-09, 2.7465973199369d-07, 1.7315233716372d-05,
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-     |   7.0397583441353d-13, 6.6635265703266d-18, 7.7452630876149d-29/
-      data (pmn(lat,24,49), lat = 1,72)/
-     |   1.5344714152416d-30, 3.9772714538130d-19, 7.0634603687357d-14,
-     |   1.7487726084948d-10, 5.1192993164554d-08, 4.0405159205629d-06,
-     |   1.2865888789663d-04, 2.0680103689895d-03, 1.9174381721321d-02,
-     |   1.1110814077802d-01, 4.1992409561179d-01, 1.0428653934236d+00,
-     |   1.6242077669344d+00, 1.2767584178625d+00,-2.2348461294473d-01,
-     |  -1.2598572935317d+00,-2.8678735059176d-01, 1.0821670039706d+00,
-     |   3.2701217599202d-01,-1.0201376431484d+00,-1.4780657875280d-01,
-     |   9.9370196181972d-01,-1.5899458797887d-01,-8.8930766416251d-01,
-     |   5.1198362417528d-01, 6.2748486161255d-01,-7.9553888148621d-01,
-     |  -2.0380663766185d-01, 8.8353594861213d-01,-2.9141509774748d-01,
-     |  -6.9941284436769d-01, 6.9800730439276d-01, 2.7128738087873d-01,
-     |  -8.5643441250993d-01, 2.5932794545663d-01, 6.9135078679933d-01,
-     |  -6.9135078679933d-01,-2.5932794545663d-01, 8.5643441250993d-01,
-     |  -2.7128738087873d-01,-6.9800730439276d-01, 6.9941284436769d-01,
-     |   2.9141509774749d-01,-8.8353594861212d-01, 2.0380663766185d-01,
-     |   7.9553888148621d-01,-6.2748486161254d-01,-5.1198362417529d-01,
-     |   8.8930766416251d-01, 1.5899458797887d-01,-9.9370196181972d-01,
-     |   1.4780657875278d-01, 1.0201376431484d+00,-3.2701217599201d-01,
-     |  -1.0821670039706d+00, 2.8678735059175d-01, 1.2598572935318d+00,
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-     |  -1.0428653934236d+00,-4.1992409561179d-01,-1.1110814077802d-01,
-     |  -1.9174381721321d-02,-2.0680103689895d-03,-1.2865888789663d-04,
-     |  -4.0405159205631d-06,-5.1192993164554d-08,-1.7487726084948d-10,
-     |  -7.0634603687357d-14,-3.9772714538130d-19,-1.5344714152416d-30/
-      data (pmn(lat,25,49), lat = 1,72)/
-     |   2.8812050765305d-32, 2.2491971496123d-20, 6.7106865854985d-15,
-     |   2.3546209432944d-11, 9.0129428387192d-09, 8.8884425292072d-07,
-     |   3.4401923655008d-05, 6.6101127242239d-04, 7.2626880361297d-03,
-     |   4.9790825729394d-02, 2.2415825483083d-01, 6.7670974507575d-01,
-     |   1.3487232956889d+00, 1.6176763120890d+00, 7.1491308565289d-01,
-     |  -8.3402999976094d-01,-1.0953418719273d+00, 3.7398542521199d-01,
-     |   1.0690439064756d+00,-2.9009483820647d-01,-9.7921361207954d-01,
-     |   4.1431692030273d-01, 8.3439337994458d-01,-6.2907518124463d-01,
-     |  -5.8714455672876d-01, 8.2723363560402d-01, 2.2120087358011d-01,
-     |  -9.0141895357903d-01, 2.1546284366167d-01, 7.7245281776581d-01,
-     |  -6.1358837777184d-01,-4.2997787064302d-01, 8.4213926900088d-01,
-     |  -4.7121188700743d-02,-8.0913354697014d-01, 5.1201282968260d-01,
-     |   5.1201282968261d-01,-8.0913354697013d-01,-4.7121188700748d-02,
-     |   8.4213926900088d-01,-4.2997787064302d-01,-6.1358837777184d-01,
-     |   7.7245281776581d-01, 2.1546284366168d-01,-9.0141895357904d-01,
-     |   2.2120087358010d-01, 8.2723363560403d-01,-5.8714455672875d-01,
-     |  -6.2907518124463d-01, 8.3439337994458d-01, 4.1431692030273d-01,
-     |  -9.7921361207953d-01,-2.9009483820648d-01, 1.0690439064757d+00,
-     |   3.7398542521200d-01,-1.0953418719273d+00,-8.3402999976095d-01,
-     |   7.1491308565290d-01, 1.6176763120890d+00, 1.3487232956889d+00,
-     |   6.7670974507575d-01, 2.2415825483083d-01, 4.9790825729394d-02,
-     |   7.2626880361298d-03, 6.6101127242239d-04, 3.4401923655008d-05,
-     |   8.8884425292076d-07, 9.0129428387192d-09, 2.3546209432944d-11,
-     |   6.7106865854985d-15, 2.2491971496123d-20, 2.8812050765305d-32/
-      data (pmn(lat,26,49), lat = 1,72)/
-     |   5.1308833772121d-34, 1.2060230320963d-21, 6.0417348304008d-16,
-     |   3.0017521949383d-12, 1.5005343461364d-09, 1.8458248532233d-07,
-     |   8.6633460439286d-06, 1.9835126627010d-04, 2.5709748090593d-03,
-     |   2.0717548187669d-02, 1.0997350021660d-01, 3.9641850350262d-01,
-     |   9.7277958770859d-01, 1.5588340712269d+00, 1.3756375352834d+00,
-     |   5.2550267251043d-02,-1.1812150658077d+00,-6.3668481979294d-01,
-     |   8.7455013055107d-01, 7.3438841886938d-01,-7.7634901642930d-01,
-     |  -6.4938920739569d-01, 8.1823585763167d-01, 4.5169885496382d-01,
-     |  -8.9866613411028d-01,-1.5537069249880d-01, 9.2121769621367d-01,
-     |  -2.0650058958927d-01,-8.0952716981943d-01, 5.6077599449186d-01,
-     |   5.3211383050470d-01,-8.0843106201394d-01,-1.2227360986459d-01,
-     |   8.6216602242625d-01,-3.2540553004155d-01,-6.8772059374698d-01,
-     |   6.8772059374698d-01, 3.2540553004155d-01,-8.6216602242624d-01,
-     |   1.2227360986459d-01, 8.0843106201394d-01,-5.3211383050471d-01,
-     |  -5.6077599449187d-01, 8.0952716981943d-01, 2.0650058958927d-01,
-     |  -9.2121769621367d-01, 1.5537069249880d-01, 8.9866613411028d-01,
-     |  -4.5169885496381d-01,-8.1823585763167d-01, 6.4938920739569d-01,
-     |   7.7634901642932d-01,-7.3438841886938d-01,-8.7455013055108d-01,
-     |   6.3668481979294d-01, 1.1812150658077d+00,-5.2550267251039d-02,
-     |  -1.3756375352834d+00,-1.5588340712269d+00,-9.7277958770859d-01,
-     |  -3.9641850350262d-01,-1.0997350021660d-01,-2.0717548187669d-02,
-     |  -2.5709748090593d-03,-1.9835126627010d-04,-8.6633460439286d-06,
-     |  -1.8458248532234d-07,-1.5005343461364d-09,-3.0017521949383d-12,
-     |  -6.0417348304008d-16,-1.2060230320963d-21,-5.1308833772121d-34/
-      data (pmn(lat,27,49), lat = 1,72)/
-     |   8.6704425355300d-36, 6.1349442131508d-23, 5.1578558138448d-17,
-     |   3.6258122880137d-13, 2.3644116800473d-10, 3.6224243672106d-08,
-     |   2.0575636985460d-06, 5.5980988542941d-05, 8.5281171296450d-04,
-     |   8.0349293360722d-03, 4.9893192499695d-02, 2.1200088148027d-01,
-     |   6.2520510147931d-01, 1.2600544404878d+00, 1.6079688873410d+00,
-     |   9.2778059836999d-01,-5.6371227599012d-01,-1.2067117262247d+00,
-     |  -4.3562574507348d-02, 1.0954037110600d+00, 2.1870950090104d-01,
-     |  -1.0126476178658d+00,-1.6672143682684d-01, 9.7927208053015d-01,
-     |  -1.7385515864051d-02,-9.3474430765442d-01, 2.7968097639649d-01,
-     |   8.1485092369645d-01,-5.6042313954213d-01,-5.8056585663695d-01,
-     |   7.8459340727393d-01, 2.3632313956136d-01,-8.7798055837401d-01,
-     |   1.6525484322971d-01, 7.9455358790263d-01,-5.3823660712109d-01,
-     |  -5.3823660712109d-01, 7.9455358790263d-01, 1.6525484322972d-01,
-     |  -8.7798055837401d-01, 2.3632313956135d-01, 7.8459340727393d-01,
-     |  -5.8056585663695d-01,-5.6042313954214d-01, 8.1485092369645d-01,
-     |   2.7968097639649d-01,-9.3474430765442d-01,-1.7385515864061d-02,
-     |   9.7927208053015d-01,-1.6672143682684d-01,-1.0126476178658d+00,
-     |   2.1870950090101d-01, 1.0954037110600d+00,-4.3562574507340d-02,
-     |  -1.2067117262247d+00,-5.6371227599013d-01, 9.2778059836999d-01,
-     |   1.6079688873410d+00, 1.2600544404878d+00, 6.2520510147932d-01,
-     |   2.1200088148027d-01, 4.9893192499695d-02, 8.0349293360723d-03,
-     |   8.5281171296452d-04, 5.5980988542941d-05, 2.0575636985460d-06,
-     |   3.6224243672108d-08, 2.3644116800473d-10, 3.6258122880137d-13,
-     |   5.1578558138448d-17, 6.1349442131508d-23, 8.6704425355300d-36/
-      data (pmn(lat,28,49), lat = 1,72)/
-     |   1.3908187759978d-37, 2.9617775549240d-24, 4.1770733416786d-18,
-     |   4.1517535984241d-14, 3.5283483001948d-11, 6.7236271755508d-09,
-     |   4.6137001470521d-07, 1.4881749448126d-05, 2.6560844592559d-04,
-     |   2.9131360722747d-03, 2.1027892927716d-02, 1.0430813798200d-01,
-     |   3.6360894958589d-01, 8.9070936286868d-01, 1.4798366892308d+00,
-     |   1.4632897322792d+00, 3.5654669862936d-01,-1.0070975265600d+00,
-     |  -9.4309344398500d-01, 5.1437159968936d-01, 1.0189267834370d+00,
-     |  -3.1451404303467d-01,-9.7733258356454d-01, 3.2080275069775d-01,
-     |   9.0036328012243d-01,-4.4696275073766d-01,-7.7432614282294d-01,
-     |   6.2551337611817d-01, 5.7273455048150d-01,-7.9166151762381d-01,
-     |  -2.8863729606065d-01, 8.8288966744494d-01,-5.3090104980054d-02,
-     |  -8.5205473738971d-01, 3.9887792592533d-01, 6.8318719249422d-01,
-     |  -6.8318719249422d-01,-3.9887792592533d-01, 8.5205473738970d-01,
-     |   5.3090104980058d-02,-8.8288966744494d-01, 2.8863729606066d-01,
-     |   7.9166151762382d-01,-5.7273455048149d-01,-6.2551337611818d-01,
-     |   7.7432614282294d-01, 4.4696275073766d-01,-9.0036328012243d-01,
-     |  -3.2080275069776d-01, 9.7733258356454d-01, 3.1451404303467d-01,
-     |  -1.0189267834370d+00,-5.1437159968937d-01, 9.4309344398500d-01,
-     |   1.0070975265600d+00,-3.5654669862935d-01,-1.4632897322793d+00,
-     |  -1.4798366892308d+00,-8.9070936286867d-01,-3.6360894958589d-01,
-     |  -1.0430813798200d-01,-2.1027892927716d-02,-2.9131360722747d-03,
-     |  -2.6560844592559d-04,-1.4881749448126d-05,-4.6137001470521d-07,
-     |  -6.7236271755511d-09,-3.5283483001948d-11,-4.1517535984241d-14,
-     |  -4.1770733416786d-18,-2.9617775549240d-24,-1.3908187759978d-37/
-      data (pmn(lat,29,49), lat = 1,72)/
-     |   2.1181158014944d-39, 1.3572510000429d-25, 3.2097340018347d-19,
-     |   4.5079977623582d-15, 4.9884692884744d-12, 1.1809880250110d-09,
-     |   9.7748322961507d-08, 3.7303089575599d-06, 7.7791484234753d-05,
-     |   9.8957820388793d-04, 8.2610747046198d-03, 4.7480031714658d-02,
-     |   1.9330220789866d-01, 5.6306955535873d-01, 1.1573478772176d+00,
-     |   1.5792212889170d+00, 1.1358153698208d+00,-2.2848853468340d-01,
-     |  -1.2048936775449d+00,-4.8981110531112d-01, 9.0911053818573d-01,
-     |   7.1072357111096d-01,-7.3403139647109d-01,-7.2651587533580d-01,
-     |   7.0115031947385d-01, 6.4560430523495d-01,-7.5585259795475d-01,
-     |  -4.9208792695081d-01, 8.3893084003316d-01, 2.7112823425458d-01,
-     |  -8.9561958491073d-01, 2.6671956290952d-03, 8.8155623229519d-01,
-     |  -2.9717294384405d-01,-7.7184722975705d-01, 5.6798648459725d-01,
-     |   5.6798648459725d-01,-7.7184722975705d-01,-2.9717294384405d-01,
-     |   8.8155623229519d-01, 2.6671956290997d-03,-8.9561958491073d-01,
-     |   2.7112823425457d-01, 8.3893084003317d-01,-4.9208792695081d-01,
-     |  -7.5585259795475d-01, 6.4560430523495d-01, 7.0115031947386d-01,
-     |  -7.2651587533579d-01,-7.3403139647109d-01, 7.1072357111096d-01,
-     |   9.0911053818575d-01,-4.8981110531111d-01,-1.2048936775449d+00,
-     |  -2.2848853468340d-01, 1.1358153698208d+00, 1.5792212889170d+00,
-     |   1.1573478772176d+00, 5.6306955535872d-01, 1.9330220789866d-01,
-     |   4.7480031714658d-02, 8.2610747046198d-03, 9.8957820388794d-04,
-     |   7.7791484234755d-05, 3.7303089575600d-06, 9.7748322961507d-08,
-     |   1.1809880250111d-09, 4.9884692884744d-12, 4.5079977623582d-15,
-     |   3.2097340018347d-19, 1.3572510000429d-25, 2.1181158014944d-39/
-      data (pmn(lat,30,49), lat = 1,72)/
-     |   3.0624414615788d-41, 5.9037921068543d-27, 2.3403145791400d-20,
-     |   4.6419774729121d-16, 6.6833104826230d-13, 1.9636398295574d-10,
-     |   1.9577097515597d-08, 8.8234572973808d-07, 2.1449121970698d-05,
-     |   3.1548334477738d-04, 3.0329953591091d-03, 2.0076112801833d-02,
-     |   9.4592252707024d-02, 3.2270382689258d-01, 7.9640036888140d-01,
-     |   1.3812153824043d+00, 1.5267829043130d+00, 6.7714283993807d-01,
-     |  -7.2278506451727d-01,-1.1505087874221d+00, 2.7190540267148d-02,
-     |   1.0806320911082d+00, 2.7944941288116d-01,-9.6991893591820d-01,
-     |  -3.5545780744904d-01, 9.1965155986777d-01, 3.0312228128908d-01,
-     |  -9.1611716490833d-01,-1.6761773128782d-01, 9.2137269796702d-01,
-     |  -2.5894842121137d-02,-8.9817442278993d-01, 2.5203954966244d-01,
-     |   8.2006372066376d-01,-4.7995076504509d-01,-6.7752972285165d-01,
-     |   6.7752972285165d-01, 4.7995076504509d-01,-8.2006372066375d-01,
-     |  -2.5203954966245d-01, 8.9817442278993d-01, 2.5894842121133d-02,
-     |  -9.2137269796703d-01, 1.6761773128780d-01, 9.1611716490833d-01,
-     |  -3.0312228128907d-01,-9.1965155986777d-01, 3.5545780744903d-01,
-     |   9.6991893591821d-01,-2.7944941288116d-01,-1.0806320911082d+00,
-     |  -2.7190540267168d-02, 1.1505087874221d+00, 7.2278506451728d-01,
-     |  -6.7714283993807d-01,-1.5267829043130d+00,-1.3812153824043d+00,
-     |  -7.9640036888139d-01,-3.2270382689258d-01,-9.4592252707025d-02,
-     |  -2.0076112801833d-02,-3.0329953591091d-03,-3.1548334477739d-04,
-     |  -2.1449121970698d-05,-8.8234572973809d-07,-1.9577097515597d-08,
-     |  -1.9636398295575d-10,-6.6833104826230d-13,-4.6419774729121d-16,
-     |  -2.3403145791400d-20,-5.9037921068543d-27,-3.0624414615788d-41/
-      data (pmn(lat,31,49), lat = 1,72)/
-     |   4.2027173926535d-43, 2.4371238209439d-28, 1.6188812292644d-21,
-     |   4.5325274622405d-17, 8.4845638013410d-14, 3.0909042369783d-11,
-     |   3.7073660078825d-09, 1.9702769406987d-07, 5.5718113603951d-06,
-     |   9.4504683509478d-05, 1.0425772874511d-03, 7.9087889013395d-03,
-     |   4.2818736764675d-02, 1.6918517073321d-01, 4.9158508698444d-01,
-     |   1.0384110875154d+00, 1.5212685341200d+00, 1.3215472730019d+00,
-     |   1.6360779202585d-01,-1.0533858571491d+00,-8.9329540053316d-01,
-     |   4.9478910728737d-01, 1.0357379357449d+00,-1.6506043950550d-01,
-     |  -1.0149702157480d+00, 3.9732397780352d-02, 9.7588922439553d-01,
-     |  -4.6564044135545d-02,-9.4289345841052d-01, 1.3687076776788d-01,
-     |   9.0337365010853d-01,-2.7766818996673d-01,-8.3908642686224d-01,
-     |   4.4119854508365d-01, 7.3852133975535d-01,-6.0183996057131d-01,
-     |  -6.0183996057131d-01, 7.3852133975535d-01, 4.4119854508366d-01,
-     |  -8.3908642686224d-01,-2.7766818996673d-01, 9.0337365010853d-01,
-     |   1.3687076776788d-01,-9.4289345841052d-01,-4.6564044135551d-02,
-     |   9.7588922439553d-01, 3.9732397780359d-02,-1.0149702157480d+00,
-     |  -1.6506043950551d-01, 1.0357379357449d+00, 4.9478910728737d-01,
-     |  -8.9329540053315d-01,-1.0533858571491d+00, 1.6360779202584d-01,
-     |   1.3215472730019d+00, 1.5212685341200d+00, 1.0384110875154d+00,
-     |   4.9158508698444d-01, 1.6918517073321d-01, 4.2818736764676d-02,
-     |   7.9087889013395d-03, 1.0425772874511d-03, 9.4504683509480d-05,
-     |   5.5718113603952d-06, 1.9702769406987d-07, 3.7073660078825d-09,
-     |   3.0909042369784d-11, 8.4845638013410d-14, 4.5325274622405d-17,
-     |   1.6188812292644d-21, 2.4371238209439d-28, 4.2027173926535d-43/
-      data (pmn(lat,32,49), lat = 1,72)/
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-      data (pmn(lat,33,49), lat = 1,72)/
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-      data (pmn(lat,34,49), lat = 1,72)/
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-      data (pmn(lat,35,49), lat = 1,72)/
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-      data (pmn(lat,36,49), lat = 1,72)/
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-      data (pmn(lat,37,49), lat = 1,72)/
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-      data (pmn(lat,38,49), lat = 1,72)/
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-      data (pmn(lat,39,49), lat = 1,72)/
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-      data (pmn(lat,40,49), lat = 1,72)/
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-     |  -4.7169643332177d-33,-6.8891687615183d-42,-5.9226889519170d-61/
-      data (pmn(lat,41,49), lat = 1,72)/
-     |   4.4856535616898d-63, 1.5679137614986d-43, 1.7952605629919d-34,
-     |   1.5480233607594d-28, 3.8936944502228d-24, 1.1755984611548d-20,
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-     |   1.7149212221622d-11, 6.6639200621800d-10, 1.6968485339422d-08,
-     |   3.0085787316697d-07, 3.8891787752153d-06, 3.7972009391766d-05,
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-     |   6.1071577878643d-01, 1.0680354360335d+00, 1.4580253185053d+00,
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-     |   2.6646015469085d-13, 2.2316492500182d-15, 8.5589707106217d-18,
-     |   1.1755984611549d-20, 3.8936944502228d-24, 1.5480233607594d-28,
-     |   1.7952605629919d-34, 1.5679137614986d-43, 4.4856535616898d-63/
-      data (pmn(lat,42,49), lat = 1,72)/
-     |   3.1440312793837d-65, 3.3022075432073d-45, 6.3221337515711d-36,
-     |   7.6694431026731d-30, 2.4966009045777d-25, 9.2899081838740d-22,
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-     |  -9.2899081838748d-22,-2.4966009045777d-25,-7.6694431026731d-30,
-     |  -6.3221337515711d-36,-3.3022075432073d-45,-3.1440312793837d-65/
-      data (pmn(lat,43,49), lat = 1,72)/
-     |   2.0244305302095d-67, 6.3887493261832d-47, 2.0449252158250d-37,
-     |   3.4893841154418d-31, 1.4696949237372d-26, 6.7377607400068d-23,
-     |   6.9890147282984d-20, 2.4841273002662d-17, 3.9162296499293d-15,
-     |   3.2500668316796d-13, 1.5998658810773d-11, 5.0925185193442d-10,
-     |   1.1177664186472d-08, 1.7766084204436d-07, 2.1238001432365d-06,
-     |   1.9670357873255d-05, 1.4449360054071d-04, 8.5745773179873d-04,
-     |   4.1696459238368d-03, 1.6793348283956d-02, 5.6427439355781d-02,
-     |   1.5878454487962d-01, 3.7408358388650d-01, 7.3355270786274d-01,
-     |   1.1795588831125d+00, 1.5046876929253d+00, 1.4025438622401d+00,
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-     |  -1.0170184441391d+00,-1.4498954795746d-02, 9.8135259299318d-01,
-     |   1.0176096184876d+00, 3.7453591382908d-02,-9.7464520165268d-01,
-     |  -9.7464520165268d-01, 3.7453591382905d-02, 1.0176096184876d+00,
-     |   9.8135259299318d-01,-1.4498954795743d-02,-1.0170184441391d+00,
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-     |   1.4025438622401d+00, 1.5046876929253d+00, 1.1795588831125d+00,
-     |   7.3355270786274d-01, 3.7408358388650d-01, 1.5878454487962d-01,
-     |   5.6427439355782d-02, 1.6793348283956d-02, 4.1696459238369d-03,
-     |   8.5745773179874d-04, 1.4449360054071d-04, 1.9670357873255d-05,
-     |   2.1238001432365d-06, 1.7766084204436d-07, 1.1177664186472d-08,
-     |   5.0925185193442d-10, 1.5998658810773d-11, 3.2500668316797d-13,
-     |   3.9162296499295d-15, 2.4841273002663d-17, 6.9890147282984d-20,
-     |   6.7377607400074d-23, 1.4696949237372d-26, 3.4893841154418d-31,
-     |   2.0449252158250d-37, 6.3887493261832d-47, 2.0244305302095d-67/
-      data (pmn(lat,44,49), lat = 1,72)/
-     |   1.1857847696031d-69, 1.1243212298561d-48, 6.0159748918021d-39,
-     |   1.4436935183135d-32, 7.8658595524786d-28, 4.4415180668137d-24,
-     |   5.4960802571217d-21, 2.2792157827022d-18, 4.1253375005336d-16,
-     |   3.8837747146071d-14, 2.1492094637951d-12, 7.6379480060715d-11,
-     |   1.8621126237450d-09, 3.2751526612869d-08, 4.3215489561726d-07,
-     |   4.4116662668649d-06, 3.5705948767138d-05, 2.3362050908431d-04,
-     |   1.2549250131721d-03, 5.6012317126886d-03, 2.0960977737325d-02,
-     |   6.6167249235111d-02, 1.7672212558076d-01, 3.9910534379207d-01,
-     |   7.5786304418427d-01, 1.1934973540524d+00, 1.5128152808221d+00,
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-     |   3.3230332423676d-01, 1.1572990853784d+00, 1.0922611923999d+00,
-     |   2.3966984714319d-01,-7.9227407339832d-01,-1.4361964913496d+00,
-     |  -1.5128152808221d+00,-1.1934973540525d+00,-7.5786304418427d-01,
-     |  -3.9910534379207d-01,-1.7672212558076d-01,-6.6167249235111d-02,
-     |  -2.0960977737326d-02,-5.6012317126887d-03,-1.2549250131722d-03,
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-     |  -7.6379480060715d-11,-2.1492094637951d-12,-3.8837747146072d-14,
-     |  -4.1253375005338d-16,-2.2792157827022d-18,-5.4960802571217d-21,
-     |  -4.4415180668140d-24,-7.8658595524786d-28,-1.4436935183135d-32,
-     |  -6.0159748918021d-39,-1.1243212298561d-48,-1.1857847696031d-69/
-      data (pmn(lat,45,49), lat = 1,72)/
-     |   6.2327264802261d-72, 1.7754639480367d-50, 1.5879485003792d-40,
-     |   5.3583908116018d-34, 3.7757633055046d-29, 2.6252250174981d-25,
-     |   3.8740024368537d-22, 1.8736342368686d-19, 3.8915281477260d-17,
-     |   4.1536035527977d-15, 2.5821105184138d-13, 1.0236620731300d-11,
-     |   2.7692616109894d-10, 5.3834427387905d-09, 7.8295911484089d-08,
-     |   8.7948125693865d-07, 7.8264739243046d-06, 5.6316468906621d-05,
-     |   3.3310334757051d-04, 1.6410071483531d-03, 6.8032274701521d-03,
-     |   2.3920365097542d-02, 7.1708363298723d-02, 1.8377331705126d-01,
-     |   4.0244906076923d-01, 7.4956558983252d-01, 1.1737680703141d+00,
-     |   1.5079515397352d+00, 1.5025308603848d+00, 9.7680153812662d-01,
-     |   2.3241685470468d-02,-9.1861977816065d-01,-1.2768945874382d+00,
-     |  -7.7437425010619d-01, 2.7288431479173d-01, 1.1116060374617d+00,
-     |   1.1116060374617d+00, 2.7288431479173d-01,-7.7437425010619d-01,
-     |  -1.2768945874382d+00,-9.1861977816065d-01, 2.3241685470471d-02,
-     |   9.7680153812662d-01, 1.5025308603848d+00, 1.5079515397352d+00,
-     |   1.1737680703141d+00, 7.4956558983252d-01, 4.0244906076923d-01,
-     |   1.8377331705127d-01, 7.1708363298723d-02, 2.3920365097542d-02,
-     |   6.8032274701522d-03, 1.6410071483531d-03, 3.3310334757052d-04,
-     |   5.6316468906622d-05, 7.8264739243047d-06, 8.7948125693866d-07,
-     |   7.8295911484088d-08, 5.3834427387904d-09, 2.7692616109895d-10,
-     |   1.0236620731300d-11, 2.5821105184138d-13, 4.1536035527978d-15,
-     |   3.8915281477262d-17, 1.8736342368686d-19, 3.8740024368537d-22,
-     |   2.6252250174983d-25, 3.7757633055046d-29, 5.3583908116018d-34,
-     |   1.5879485003792d-40, 1.7754639480367d-50, 6.2327264802261d-72/
-      data (pmn(lat,46,49), lat = 1,72)/
-     |   2.8816764473665d-74, 2.4660810974917d-52, 3.6863680534545d-42,
-     |   1.7488858055621d-35, 1.5934690500065d-30, 1.3638597307223d-26,
-     |   2.3993607609852d-23, 1.3528323573875d-20, 3.2228363374155d-18,
-     |   3.8977424819761d-16, 2.7202206083829d-14, 1.2020847584011d-12,
-     |   3.6051718112384d-11, 7.7379549807026d-10, 1.2388616081968d-08,
-     |   1.5288814554819d-07, 1.4932066216109d-06, 1.1790216729101d-05,
-     |   7.6579618143571d-05, 4.1497788227668d-04, 1.8976438778914d-03,
-     |   7.3896388491785d-03, 2.4675564268405d-02, 7.1001657048957d-02,
-     |   1.7652578821412d-01, 3.7928520234954d-01, 7.0203975911409d-01,
-     |   1.1101561538822d+00, 1.4736923411437d+00, 1.5810311057833d+00,
-     |   1.2409981119769d+00, 4.4344893612040d-01,-5.3780729918355d-01,
-     |  -1.2281641302111d+00,-1.2287168834970d+00,-5.1119237442070d-01,
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-     |  -7.0203975911409d-01,-3.7928520234954d-01,-1.7652578821412d-01,
-     |  -7.1001657048957d-02,-2.4675564268405d-02,-7.3896388491785d-03,
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-     |  -1.1790216729101d-05,-1.4932066216109d-06,-1.5288814554819d-07,
-     |  -1.2388616081968d-08,-7.7379549807025d-10,-3.6051718112385d-11,
-     |  -1.2020847584011d-12,-2.7202206083829d-14,-3.8977424819762d-16,
-     |  -3.2228363374156d-18,-1.3528323573876d-20,-2.3993607609852d-23,
-     |  -1.3638597307224d-26,-1.5934690500065d-30,-1.7488858055621d-35,
-     |  -3.6863680534545d-42,-2.4660810974917d-52,-2.8816764473665d-74/
-      data (pmn(lat,47,49), lat = 1,72)/
-     |   1.1352051266271d-76, 2.9184028453967d-54, 7.2906097832063d-44,
-     |   4.8621829321054d-37, 5.7272155732659d-32, 6.0329407639422d-28,
-     |   1.2649039001242d-24, 8.3113603025903d-22, 2.2700598419926d-19,
-     |   3.1092789665216d-17, 2.4346125714195d-15, 1.1984014486106d-13,
-     |   3.9812143678439d-12, 9.4253047525794d-11, 1.6592393136708d-09,
-     |   2.2466243679046d-08, 2.4042291837685d-07, 2.0790269559348d-06,
-     |   1.4793361530918d-05, 8.7920388614416d-05, 4.4185589071352d-04,
-     |   1.8968445983727d-03, 7.0129479444022d-03, 2.2474561490911d-02,
-     |   6.2731980108622d-02, 1.5298319229574d-01, 3.2634731782034d-01,
-     |   6.0825889296207d-01, 9.8602425129443d-01, 1.3761982366163d+00,
-     |   1.6195458398771d+00, 1.5333777937300d+00, 1.0179876638914d+00,
-     |   1.6032438960912d-01,-7.5004322735396d-01,-1.3373382418838d+00,
-     |  -1.3373382418838d+00,-7.5004322735396d-01, 1.6032438960911d-01,
-     |   1.0179876638914d+00, 1.5333777937300d+00, 1.6195458398771d+00,
-     |   1.3761982366163d+00, 9.8602425129443d-01, 6.0825889296207d-01,
-     |   3.2634731782034d-01, 1.5298319229574d-01, 6.2731980108622d-02,
-     |   2.2474561490911d-02, 7.0129479444022d-03, 1.8968445983727d-03,
-     |   4.4185589071353d-04, 8.7920388614416d-05, 1.4793361530918d-05,
-     |   2.0790269559348d-06, 2.4042291837685d-07, 2.2466243679047d-08,
-     |   1.6592393136708d-09, 9.4253047525793d-11, 3.9812143678440d-12,
-     |   1.1984014486106d-13, 2.4346125714195d-15, 3.1092789665217d-17,
-     |   2.2700598419927d-19, 8.3113603025905d-22, 1.2649039001242d-24,
-     |   6.0329407639427d-28, 5.7272155732659d-32, 4.8621829321054d-37,
-     |   7.2906097832063d-44, 2.9184028453967d-54, 1.1352051266271d-76/
-      data (pmn(lat,48,49), lat = 1,72)/
-     |   3.5938704743869d-79, 2.7753878922017d-56, 1.1585972867120d-45,
-     |   1.0860461221934d-38, 1.6535372337004d-33, 2.1431909317088d-29,
-     |   5.3539045693787d-26, 4.0983080765318d-23, 1.2828202402436d-20,
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-     |   3.5186043994199d-13, 9.1799873824950d-12, 1.7750806591204d-10,
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-      data (pmn(lat,49,49), lat = 1,72)/
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-      data (pmn(lat, 0,50), lat = 1,72)/
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-      data (pmn(lat, 1,50), lat = 1,72)/
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-      data (pmn(lat, 2,50), lat = 1,72)/
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-     |  -1.3178930926630d+00, 1.8133695418389d+00,-7.7486063291922d-01,
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-      data (pmn(lat, 3,50), lat = 1,72)/
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-      data (pmn(lat, 4,50), lat = 1,72)/
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-     |   2.8213023685191d+00, 1.2408003885941d+00, 2.5551556672845d-02/
-      data (pmn(lat, 5,50), lat = 1,72)/
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-      data (pmn(lat, 6,50), lat = 1,72)/
-     |   2.6044703915929d-04, 1.3316029956960d-01, 1.3251410989716d+00,
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-      data (pmn(lat, 7,50), lat = 1,72)/
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-      data (pmn(lat, 8,50), lat = 1,72)/
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-      data (pmn(lat, 9,50), lat = 1,72)/
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-     |   7.1871136404812d-01, 2.0228364184322d+00, 1.5944648452015d+00,
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-     |  -7.8252201534566d-02,-1.3058633676731d-03,-8.4616673871589d-08/
-      data (pmn(lat,10,50), lat = 1,72)/
-     |   4.5909280953999d-09, 2.1754671859497d-04, 2.2867010494037d-02,
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-     |   2.1395425107893d+00, 1.3886723521154d+00, 3.2249609806213d-01,
-     |   2.2867010494037d-02, 2.1754671859497d-04, 4.5909280953999d-09/
-      data (pmn(lat,11,50), lat = 1,72)/
-     |   2.2541287622207d-10, 3.2668681645573d-05, 5.9672552537548d-03,
-     |   1.2670755372030d-01, 7.9554701108627d-01, 1.9391893305076d+00,
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-     |  -5.9672552537548d-03,-3.2668681645573d-05,-2.2541287622207d-10/
-      data (pmn(lat,12,50), lat = 1,72)/
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-     |   4.4352976973645d-02, 3.9438816892945d-01, 1.3962956781240d+00,
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-     |   1.4064301319683d-03, 4.4616944234991d-06, 1.0095949655594d-11/
-      data (pmn(lat,13,50), lat = 1,72)/
-     |   4.1520846074150d-13, 5.5821917037993d-07, 3.0206732589737d-04,
-     |   1.4007593334189d-02, 1.7302371192565d-01, 8.5006605256129d-01,
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-      data (pmn(lat,14,50), lat = 1,72)/
-     |   1.5766393537388d-14, 6.4365192761323d-08, 5.9544076375524d-05,
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-      data (pmn(lat,15,50), lat = 1,72)/
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-     |  -1.0836000088295d-05,-6.8741872087337d-09,-5.5535880461556d-16/
-      data (pmn(lat,16,50), lat = 1,72)/
-     |   1.8218788458895d-17, 6.8290809136324d-10, 1.8294146735725d-06,
-     |   2.5947544679711d-04, 8.0200572232559d-03, 9.1965294847963d-02,
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-     |   1.8532501035896d+00, 1.3795931582258d+00, 4.9643157677458d-01,
-     |   9.1965294847965d-02, 8.0200572232559d-03, 2.5947544679711d-04,
-     |   1.8294146735725d-06, 6.8290809136324d-10, 1.8218788458895d-17/
-      data (pmn(lat,17,50), lat = 1,72)/
-     |   5.5853870183080d-19, 6.3335588097700d-11, 2.8770507969201d-07,
-     |   5.8718149441137d-05, 2.4284146645148d-03, 3.6015420468610d-02,
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-     |  -3.6015420468611d-02,-2.4284146645148d-03,-5.8718149441137d-05,
-     |  -2.8770507969201d-07,-6.3335588097700d-11,-5.5853870183080d-19/
-      data (pmn(lat,18,50), lat = 1,72)/
-     |   1.6049170278982d-20, 5.5008111356546d-12, 4.2294405748543d-08,
-     |   1.2382768198896d-05, 6.8192368279857d-04, 1.2979737363449d-02,
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-     |   1.2979737363450d-02, 6.8192368279857d-04, 1.2382768198896d-05,
-     |   4.2294405748543d-08, 5.5008111356546d-12, 1.6049170278982d-20/
-      data (pmn(lat,19,50), lat = 1,72)/
-     |   4.3333153036929d-22, 4.4859925213885d-13, 5.8291207430565d-09,
-     |   2.4419715918044d-06, 1.7836578793203d-04, 4.3306622211360d-03,
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-     |   7.6208536088154d-01,-7.8896799135084d-01,-1.3641254875232d-01,
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-     |  -5.8291207430565d-09,-4.4859925213885d-13,-4.3333153036929d-22/
-      data (pmn(lat,20,50), lat = 1,72)/
-     |   1.1018154003188d-23, 3.4430344527607d-14, 7.5510261223800d-10,
-     |   4.5166270032736d-07, 4.3613227984354d-05, 1.3441043435009d-03,
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-     |   6.7942926128125d-01,-9.7981922721096d-01,-2.6627080522831d-01,
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-     |   7.7088529599471d-01, 2.4756152270732d-01,-9.1140397918032d-01,
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-     |   7.5510261223800d-10, 3.4430344527607d-14, 1.1018154003188d-23/
-      data (pmn(lat,21,50), lat = 1,72)/
-     |   2.6432573254859d-25, 2.4919175349907d-15, 9.2136339225054d-11,
-     |   7.8544781953634d-08, 9.9991603197116d-06, 3.8957605841514d-04,
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-     |  -9.2136339225054d-11,-2.4919175349907d-15,-2.6432573254859d-25/
-      data (pmn(lat,22,50), lat = 1,72)/
-     |   5.9926272437554d-27, 1.7036142751764d-16, 1.0609132765461d-11,
-     |   1.2869579946149d-08, 2.1549781611246d-06, 1.0578417176139d-04,
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-      data (pmn(lat,23,50), lat = 1,72)/
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-      data (pmn(lat,24,50), lat = 1,72)/
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-      data (pmn(lat,25,50), lat = 1,72)/
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-      data (pmn(lat,26,50), lat = 1,72)/
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-      data (pmn(lat,27,50), lat = 1,72)/
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-      data (pmn(lat,28,50), lat = 1,72)/
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-      data (pmn(lat,29,50), lat = 1,72)/
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-      data (pmn(lat,30,50), lat = 1,72)/
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-     |   4.6822215114822d-20, 1.1885029255077d-26, 6.1840662919428d-41/
-      data (pmn(lat,31,50), lat = 1,72)/
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-     |  -3.3447326991240d-21,-5.0655866041469d-28,-8.7614796159177d-43/
-      data (pmn(lat,32,50), lat = 1,72)/
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-     |   8.8839251756132d-18, 2.1352686089596d-14, 9.4919379200143d-12,
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-     |   2.2688372475247d-22, 2.0508040889864d-29, 1.1792629407977d-44/
-      data (pmn(lat,33,50), lat = 1,72)/
-     |   1.5071764895569d-46, 7.8827851778052d-31, 1.4607832507211d-23,
-     |   8.0690979839720d-19, 2.5194850102709d-15, 1.3871410226377d-12,
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-     |  -1.4607832507211d-23,-7.8827851778052d-31,-1.5071764895569d-46/
-      data (pmn(lat,34,50), lat = 1,72)/
-     |   1.8278252934360d-48, 2.8747377959122d-32, 8.9211569580027d-25,
-     |   6.9490911526272d-20, 2.8171989875311d-16, 1.9196430305319d-13,
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-     |   1.9196430305320d-13, 2.8171989875311d-16, 6.9490911526272d-20,
-     |   8.9211569580027d-25, 2.8747377959122d-32, 1.8278252934360d-48/
-      data (pmn(lat,35,50), lat = 1,72)/
-     |   2.1014319046268d-50, 9.9375036322409d-34, 5.1631690295857d-26,
-     |   5.6693780241825d-21, 2.9827177341845d-17, 2.5137698855055d-14,
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-     |  -5.1631690295857d-26,-9.9375036322409d-34,-2.1014319046268d-50/
-      data (pmn(lat,36,50), lat = 1,72)/
-     |   2.2876061110121d-52, 3.2523414327659d-35, 2.8285171487686d-27,
-     |   4.3767100273479d-22, 2.9868591861888d-18, 3.1115729991346d-15,
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-     |   2.8285171487686d-27, 3.2523414327659d-35, 2.2876061110121d-52/
-      data (pmn(lat,37,50), lat = 1,72)/
-     |   2.3543527330480d-54, 1.0062303432603d-36, 1.4645313718417d-28,
-     |   3.1924694738067d-23, 2.8249020583715d-19, 3.6356681044841d-16,
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-     |  -6.1331672618684d-01, 6.9767233040382d-01, 9.8784546949394d-01,
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-     |   9.5353024091139d-01, 3.9956705186556d-01,-8.5271572979651d-01,
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-     |  -1.4645313718417d-28,-1.0062303432603d-36,-2.3543527330480d-54/
-      data (pmn(lat,38,50), lat = 1,72)/
-     |   2.2864646880037d-56, 2.9373973634934d-38, 7.1535914007701d-30,
-     |   2.1961950593816d-24, 2.5187860576824d-20, 4.0028666682523d-17,
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-     |   8.8067823524150d-09, 2.3169879258728d-07, 4.0530547977181d-06,
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-     |   1.4133579423452d+00, 5.6919719075721d-01,-6.6571367805951d-01,
-     |  -1.1825305104224d+00,-3.5149926752278d-01, 8.7660505808022d-01,
-     |   8.7120170183389d-01,-3.8667605287757d-01,-1.0196692964672d+00,
-     |  -2.8578044801439d-02, 9.8678436772926d-01, 3.3518193822651d-01,
-     |  -8.7855592856606d-01,-5.6040875275627d-01, 7.3539030983624d-01,
-     |   7.3539030983624d-01,-5.6040875275627d-01,-8.7855592856606d-01,
-     |   3.3518193822650d-01, 9.8678436772926d-01,-2.8578044801442d-02,
-     |  -1.0196692964672d+00,-3.8667605287758d-01, 8.7120170183389d-01,
-     |   8.7660505808022d-01,-3.5149926752278d-01,-1.1825305104224d+00,
-     |  -6.6571367805951d-01, 5.6919719075721d-01, 1.4133579423452d+00,
-     |   1.4524186461314d+00, 1.0022905938642d+00, 5.1549969942612d-01,
-     |   2.0525803098054d-01, 6.4163729818579d-02, 1.5771065125664d-02,
-     |   3.0268612556834d-03, 4.4722433236172d-04, 4.9787557997211d-05,
-     |   4.0530547977181d-06, 2.3169879258728d-07, 8.8067823524152d-09,
-     |   2.0657544314360d-10, 2.6946217538965d-12, 1.6819557004847d-14,
-     |   4.0028666682526d-17, 2.5187860576824d-20, 2.1961950593816d-24,
-     |   7.1535914007701d-30, 2.9373973634934d-38, 2.2864646880037d-56/
-      data (pmn(lat,39,50), lat = 1,72)/
-     |   2.0904732873372d-58, 8.0719671499760d-40, 3.2887321783821d-31,
-     |   1.4216178515733d-25, 2.1124872771487d-21, 4.1435627314217d-18,
-     |   2.0824260528587d-15, 3.9049586469657d-13, 3.4503572372606d-11,
-     |   1.6765256919727d-09, 4.9866243342545d-08, 9.8057919120116d-07,
-     |   1.3490813064517d-05, 1.3547123406817d-04, 1.0249039272595d-03,
-     |   5.9804453815001d-03, 2.7364546800046d-02, 9.9191666522278d-02,
-     |   2.8582351276781d-01, 6.5138489000078d-01, 1.1522218286884d+00,
-     |   1.5086048000470d+00, 1.2752290636788d+00, 2.8376994408872d-01,
-     |  -8.7396429526029d-01,-1.1251828604285d+00,-1.2538424209969d-01,
-     |   9.8407144573658d-01, 7.6048047024772d-01,-5.1574515927606d-01,
-     |  -1.0031370040478d+00, 4.2930207156017d-02, 1.0025088764109d+00,
-     |   3.4516204000562d-01,-8.6693831334822d-01,-6.4506098424526d-01,
-     |   6.4506098424525d-01, 8.6693831334822d-01,-3.4516204000562d-01,
-     |  -1.0025088764109d+00,-4.2930207156021d-02, 1.0031370040478d+00,
-     |   5.1574515927607d-01,-7.6048047024771d-01,-9.8407144573659d-01,
-     |   1.2538424209969d-01, 1.1251828604285d+00, 8.7396429526029d-01,
-     |  -2.8376994408872d-01,-1.2752290636788d+00,-1.5086048000470d+00,
-     |  -1.1522218286884d+00,-6.5138489000078d-01,-2.8582351276781d-01,
-     |  -9.9191666522279d-02,-2.7364546800046d-02,-5.9804453815002d-03,
-     |  -1.0249039272595d-03,-1.3547123406817d-04,-1.3490813064518d-05,
-     |  -9.8057919120116d-07,-4.9866243342545d-08,-1.6765256919728d-09,
-     |  -3.4503572372607d-11,-3.9049586469658d-13,-2.0824260528587d-15,
-     |  -4.1435627314220d-18,-2.1124872771487d-21,-1.4216178515733d-25,
-     |  -3.2887321783821d-31,-8.0719671499760d-40,-2.0904732873372d-58/
-      data (pmn(lat,40,50), lat = 1,72)/
-     |   1.7941436408655d-60, 2.0820703487895d-41, 1.4189435316783d-32,
-     |   8.6342432370448d-27, 1.6618247851318d-22, 4.0214405716751d-19,
-     |   2.4160098822235d-16, 5.2993635196076d-14, 5.3924807863362d-12,
-     |   2.9834321139711d-10, 1.0020340859418d-08, 2.2117617814036d-07,
-     |   3.4019101320144d-06, 3.8102167068992d-05, 3.2129085495452d-04,
-     |   2.0916688796488d-03, 1.0709555188649d-02, 4.3676076808034d-02,
-     |   1.4287373473510d-01, 3.7510211182886d-01, 7.8392164761056d-01,
-     |   1.2741806004026d+00, 1.5211156441808d+00, 1.1183155379596d+00,
-     |   3.9616480973300d-02,-1.0104623057431d+00,-1.0472508753010d+00,
-     |   4.3804656747608d-02, 1.0415704022046d+00, 6.8641801961451d-01,
-     |  -5.7882853692115d-01,-1.0037516902418d+00, 3.4376527290114d-02,
-     |   1.0062193537191d+00, 4.4120470948923d-01,-7.9870370058636d-01,
-     |  -7.9870370058636d-01, 4.4120470948923d-01, 1.0062193537191d+00,
-     |   3.4376527290117d-02,-1.0037516902418d+00,-5.7882853692115d-01,
-     |   6.8641801961451d-01, 1.0415704022046d+00, 4.3804656747612d-02,
-     |  -1.0472508753010d+00,-1.0104623057431d+00, 3.9616480973293d-02,
-     |   1.1183155379596d+00, 1.5211156441808d+00, 1.2741806004026d+00,
-     |   7.8392164761057d-01, 3.7510211182886d-01, 1.4287373473510d-01,
-     |   4.3676076808034d-02, 1.0709555188649d-02, 2.0916688796488d-03,
-     |   3.2129085495451d-04, 3.8102167068991d-05, 3.4019101320145d-06,
-     |   2.2117617814036d-07, 1.0020340859418d-08, 2.9834321139711d-10,
-     |   5.3924807863364d-12, 5.2993635196077d-14, 2.4160098822235d-16,
-     |   4.0214405716754d-19, 1.6618247851318d-22, 8.6342432370448d-27,
-     |   1.4189435316783d-32, 2.0820703487895d-41, 1.7941436408655d-60/
-      data (pmn(lat,41,50), lat = 1,72)/
-     |   1.4402742732128d-62, 5.0229176443398d-43, 5.7251136223067d-34,
-     |   4.9028977515621d-28, 1.2218922377212d-23, 3.6465033287454d-20,
-     |   2.6175948480095d-17, 6.7118704584643d-15, 7.8597046233624d-13,
-     |   4.9468355476903d-11, 1.8741030420896d-09, 4.6372123278263d-08,
-     |   7.9610368539943d-07, 9.9253765283661d-06, 9.3050669794913d-05,
-     |   6.7369796936843d-04, 3.8436126589397d-03, 1.7535419416927d-02,
-     |   6.4592836862480d-02, 1.9296794325820d-01, 4.6672351013129d-01,
-     |   9.0413383418577d-01, 1.3653030223480d+00, 1.5036769603383d+00,
-     |   9.6921011489876d-01,-1.4789187965433d-01,-1.0912538929109d+00,
-     |  -9.8124069640131d-01, 1.4444246968920d-01, 1.0685251871985d+00,
-     |   6.7068074286971d-01,-5.7426702193833d-01,-1.0316153394830d+00,
-     |  -6.7769698828381d-02, 9.8093289292884d-01, 6.2660010129882d-01,
-     |  -6.2660010129881d-01,-9.8093289292884d-01, 6.7769698828377d-02,
-     |   1.0316153394830d+00, 5.7426702193833d-01,-6.7068074286972d-01,
-     |  -1.0685251871985d+00,-1.4444246968921d-01, 9.8124069640132d-01,
-     |   1.0912538929109d+00, 1.4789187965433d-01,-9.6921011489875d-01,
-     |  -1.5036769603383d+00,-1.3653030223480d+00,-9.0413383418577d-01,
-     |  -4.6672351013130d-01,-1.9296794325820d-01,-6.4592836862481d-02,
-     |  -1.7535419416927d-02,-3.8436126589398d-03,-6.7369796936844d-04,
-     |  -9.3050669794912d-05,-9.9253765283661d-06,-7.9610368539945d-07,
-     |  -4.6372123278263d-08,-1.8741030420896d-09,-4.9468355476905d-11,
-     |  -7.8597046233626d-13,-6.7118704584645d-15,-2.6175948480095d-17,
-     |  -3.6465033287456d-20,-1.2218922377212d-23,-4.9028977515621d-28,
-     |  -5.7251136223067d-34,-5.0229176443398d-43,-1.4402742732128d-62/
-      data (pmn(lat,42,50), lat = 1,72)/
-     |   1.0766106555589d-64, 1.1282714160744d-44, 2.1505132228285d-35,
-     |   2.5913851385855d-29, 8.3600727284152d-25, 3.0757026929486d-21,
-     |   2.6368330844302d-18, 7.8994843844427d-16, 1.0638151762207d-13,
-     |   7.6107454487340d-12, 3.2491213502124d-10, 9.0016290248004d-09,
-     |   1.7224039315426d-07, 2.3861339138147d-06, 2.4816415036513d-05,
-     |   1.9926775656288d-04, 1.2623104514603d-03, 6.4122694022831d-03,
-     |   2.6427289723370d-02, 8.9011903739526d-02, 2.4563157344882d-01,
-     |   5.5338857827889d-01, 1.0050238187060d+00, 1.4278322080504d+00,
-     |   1.4737286186213d+00, 8.5148159340674d-01,-2.7043613619071d-01,
-     |  -1.1333202747716d+00,-9.5220315494143d-01, 1.6792364425217d-01,
-     |   1.0744905113452d+00, 7.2676371014292d-01,-4.8851570008163d-01,
-     |  -1.0760186049742d+00,-2.7931846176705d-01, 8.7628191280664d-01,
-     |   8.7628191280664d-01,-2.7931846176705d-01,-1.0760186049742d+00,
-     |  -4.8851570008163d-01, 7.2676371014291d-01, 1.0744905113452d+00,
-     |   1.6792364425218d-01,-9.5220315494142d-01,-1.1333202747716d+00,
-     |  -2.7043613619072d-01, 8.5148159340674d-01, 1.4737286186213d+00,
-     |   1.4278322080504d+00, 1.0050238187060d+00, 5.5338857827889d-01,
-     |   2.4563157344882d-01, 8.9011903739527d-02, 2.6427289723371d-02,
-     |   6.4122694022831d-03, 1.2623104514604d-03, 1.9926775656288d-04,
-     |   2.4816415036513d-05, 2.3861339138147d-06, 1.7224039315427d-07,
-     |   9.0016290248004d-09, 3.2491213502124d-10, 7.6107454487342d-12,
-     |   1.0638151762207d-13, 7.8994843844429d-16, 2.6368330844302d-18,
-     |   3.0757026929489d-21, 8.3600727284152d-25, 2.5913851385855d-29,
-     |   2.1505132228285d-35, 1.1282714160744d-44, 1.0766106555589d-64/
-      data (pmn(lat,43,50), lat = 1,72)/
-     |   7.4511097545268d-67, 2.3463526130670d-46, 7.4777065082473d-37,
-     |   1.2676434420925d-30, 5.2924983604926d-26, 2.3996080248029d-22,
-     |   2.4558930253366d-19, 8.5916780762021d-17, 1.3297830469185d-14,
-     |   1.0805813303649d-12, 5.1937367030540d-11, 1.6093830237395d-09,
-     |   3.4277637192414d-08, 5.2682780016100d-07, 6.0666015930947d-06,
-     |   5.3895618735930d-05, 3.7793822883695d-04, 2.1292938597893d-03,
-     |   9.7676665909679d-03, 3.6826847200067d-02, 1.1474444501974d-01,
-     |   2.9576917068876d-01, 6.2773756155743d-01, 1.0819557961548d+00,
-     |   1.4674341385932d+00, 1.4491500910011d+00, 7.8475490988837d-01,
-     |  -3.2209712836029d-01,-1.1477923581410d+00,-9.7650104054436d-01,
-     |   1.0217512943904d-01, 1.0510110631263d+00, 8.5674106202734d-01,
-     |  -2.9141555950689d-01,-1.0912071688192d+00,-6.0214353236023d-01,
-     |   6.0214353236023d-01, 1.0912071688192d+00, 2.9141555950690d-01,
-     |  -8.5674106202734d-01,-1.0510110631263d+00,-1.0217512943904d-01,
-     |   9.7650104054436d-01, 1.1477923581410d+00, 3.2209712836030d-01,
-     |  -7.8475490988837d-01,-1.4491500910011d+00,-1.4674341385932d+00,
-     |  -1.0819557961548d+00,-6.2773756155743d-01,-2.9576917068876d-01,
-     |  -1.1474444501975d-01,-3.6826847200068d-02,-9.7676665909680d-03,
-     |  -2.1292938597893d-03,-3.7793822883695d-04,-5.3895618735931d-05,
-     |  -6.0666015930946d-06,-5.2682780016100d-07,-3.4277637192414d-08,
-     |  -1.6093830237395d-09,-5.1937367030540d-11,-1.0805813303650d-12,
-     |  -1.3297830469185d-14,-8.5916780762023d-17,-2.4558930253366d-19,
-     |  -2.3996080248031d-22,-5.2924983604926d-26,-1.2676434420925d-30,
-     |  -7.4777065082473d-37,-2.3463526130670d-46,-7.4511097545268d-67/
-      data (pmn(lat,44,50), lat = 1,72)/
-     |   4.7393895716114d-69, 4.4842236479600d-48, 2.3892344076353d-38,
-     |   5.6970449865107d-32, 3.0774718854562d-27, 1.7190318531769d-23,
-     |   2.0994982378461d-20, 8.5729582751106d-18, 1.5241246098983d-15,
-     |   1.4057727142535d-13, 7.6009109862084d-12, 2.6317490431480d-10,
-     |   6.2319549868486d-09, 1.0611254660972d-07, 1.3506142781367d-06,
-     |   1.3247542978554d-05, 1.0256602604039d-04, 6.3877316399931d-04,
-     |   3.2474971138978d-03, 1.3627224410898d-02, 4.7560128063130d-02,
-     |   1.3863229869316d-01, 3.3754411160331d-01, 6.8288230485715d-01,
-     |   1.1319945076638d+00, 1.4905113648710d+00, 1.4452307040108d+00,
-     |   7.8516925371540d-01,-2.9374250828319d-01,-1.1327995101604d+00,
-     |  -1.0587295934945d+00,-7.1901752442806d-02, 9.6155455972900d-01,
-     |   1.0371774242690d+00, 5.7226382722012d-02,-9.7583813310896d-01,
-     |  -9.7583813310896d-01, 5.7226382722008d-02, 1.0371774242690d+00,
-     |   9.6155455972900d-01,-7.1901752442803d-02,-1.0587295934945d+00,
-     |  -1.1327995101604d+00,-2.9374250828319d-01, 7.8516925371540d-01,
-     |   1.4452307040108d+00, 1.4905113648710d+00, 1.1319945076638d+00,
-     |   6.8288230485715d-01, 3.3754411160331d-01, 1.3863229869316d-01,
-     |   4.7560128063131d-02, 1.3627224410898d-02, 3.2474971138978d-03,
-     |   6.3877316399931d-04, 1.0256602604039d-04, 1.3247542978554d-05,
-     |   1.3506142781367d-06, 1.0611254660972d-07, 6.2319549868488d-09,
-     |   2.6317490431480d-10, 7.6009109862084d-12, 1.4057727142535d-13,
-     |   1.5241246098983d-15, 8.5729582751108d-18, 2.0994982378461d-20,
-     |   1.7190318531770d-23, 3.0774718854562d-27, 5.6970449865107d-32,
-     |   2.3892344076353d-38, 4.4842236479600d-48, 4.7393895716114d-69/
-      data (pmn(lat,45,50), lat = 1,72)/
-     |   2.7433777092820d-71, 7.7986558687294d-50, 6.9460942952804d-40,
-     |   2.3292826795339d-33, 1.6276081544669d-28, 1.1197582098501d-24,
-     |   1.6314051691598d-21, 7.7720023855046d-19, 1.5862809226362d-16,
-     |   1.6596577513580d-14, 1.0087207282117d-12, 3.8990723245923d-11,
-     |   1.0254336635569d-09, 1.9318888828462d-08, 2.7137479291423d-07,
-     |   2.9333364967910d-06, 2.5017206054237d-05, 1.7174087655164d-04,
-     |   9.6416764935238d-04, 4.4818281922245d-03, 1.7411045596906d-02,
-     |   5.6889649883735d-02, 1.5686424560893d-01, 3.6490204777315d-01,
-     |   7.1243034723559d-01, 1.1522893356249d+00, 1.5007754691716d+00,
-     |   1.4715097101038d+00, 8.6568470810674d-01,-1.6784298996592d-01,
-     |  -1.0646873026786d+00,-1.1819475300068d+00,-3.7499701976077d-01,
-     |   7.3178455109211d-01, 1.1862438642233d+00, 5.6847351849221d-01,
-     |  -5.6847351849221d-01,-1.1862438642233d+00,-7.3178455109211d-01,
-     |   3.7499701976077d-01, 1.1819475300068d+00, 1.0646873026786d+00,
-     |   1.6784298996592d-01,-8.6568470810673d-01,-1.4715097101038d+00,
-     |  -1.5007754691716d+00,-1.1522893356249d+00,-7.1243034723559d-01,
-     |  -3.6490204777315d-01,-1.5686424560893d-01,-5.6889649883735d-02,
-     |  -1.7411045596906d-02,-4.4818281922246d-03,-9.6416764935239d-04,
-     |  -1.7174087655164d-04,-2.5017206054237d-05,-2.9333364967910d-06,
-     |  -2.7137479291422d-07,-1.9318888828462d-08,-1.0254336635570d-09,
-     |  -3.8990723245923d-11,-1.0087207282117d-12,-1.6596577513581d-14,
-     |  -1.5862809226363d-16,-7.7720023855048d-19,-1.6314051691598d-21,
-     |  -1.1197582098502d-24,-1.6276081544669d-28,-2.3292826795339d-33,
-     |  -6.9460942952804d-40,-7.7986558687294d-50,-2.7433777092820d-71/
-      data (pmn(lat,46,50), lat = 1,72)/
-     |   1.4255549598440d-73, 1.2174907119189d-51, 1.8125587151028d-41,
-     |   8.5466780656657d-35, 7.7235517951454d-30, 6.5427273410961d-26,
-     |   1.1367284957759d-22, 6.3154829693904d-20, 1.4791033287395d-17,
-     |   1.7543959416616d-15, 1.1977932277141d-13, 5.1645039905935d-12,
-     |   1.5070257331808d-10, 3.1378159931595d-09, 4.8578091648066d-08,
-     |   5.7770049963442d-07, 5.4164625394360d-06, 4.0885532929179d-05,
-     |   2.5268927664498d-04, 1.2960796127440d-03, 5.5759633276099d-03,
-     |   2.0283479617591d-02, 6.2734553632124d-02, 1.6545458212594d-01,
-     |   3.7202877517579d-01, 7.1006242422300d-01, 1.1377895845162d+00,
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-     |   8.3498629009520d-02,-8.8743503623930d-01,-1.2849288674229d+00,
-     |  -8.0101510937334d-01, 2.5703189122830d-01, 1.1143501413014d+00,
-     |   1.1143501413014d+00, 2.5703189122830d-01,-8.0101510937334d-01,
-     |  -1.2849288674229d+00,-8.8743503623930d-01, 8.3498629009523d-02,
-     |   1.0334729686734d+00, 1.5272530908284d+00, 1.4950925083004d+00,
-     |   1.1377895845162d+00, 7.1006242422301d-01, 3.7202877517579d-01,
-     |   1.6545458212594d-01, 6.2734553632124d-02, 2.0283479617591d-02,
-     |   5.5759633276100d-03, 1.2960796127440d-03, 2.5268927664498d-04,
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-     |   5.1645039905935d-12, 1.1977932277141d-13, 1.7543959416616d-15,
-     |   1.4791033287396d-17, 6.3154829693905d-20, 1.1367284957759d-22,
-     |   6.5427273410967d-26, 7.7235517951454d-30, 8.5466780656657d-35,
-     |   1.8125587151028d-41, 1.2174907119189d-51, 1.4255549598440d-73/
-      data (pmn(lat,47,50), lat = 1,72)/
-     |   6.5183098753537d-76, 1.6724141847552d-53, 4.1613537336800d-43,
-     |   2.7586779420555d-36, 3.2234988320651d-31, 3.3614538600622d-27,
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-     |  -4.1613537336800d-43,-1.6724141847552d-53,-6.5183098753537d-76/
-      data (pmn(lat,48,50), lat = 1,72)/
-     |   2.5403764485711d-78, 1.9580100923941d-55, 8.1420071463277d-45,
-     |   7.5875266190532d-38, 1.1461822321782d-32, 1.4709867453898d-28,
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-     |   1.5698282417136d-03, 5.9845215883434d-03, 1.9721561010914d-02,
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-     |  -1.3422093108456d+00,-7.4109536801145d-01, 1.8551804495273d-01,
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-     |   1.3591968847108d+00, 9.5974587665063d-01, 5.8241691662124d-01,
-     |   3.0677742732710d-01, 1.4087753652546d-01, 5.6460099893730d-02,
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-     |   8.4402599448336d-20, 2.7406445895125d-22, 3.6310220471207d-25,
-     |   1.4709867453899d-28, 1.1461822321782d-32, 7.5875266190532d-38,
-     |   8.1420071463277d-45, 1.9580100923941d-55, 2.5403764485711d-78/
-      data (pmn(lat,49,50), lat = 1,72)/
-     |   7.9590823531593d-81, 1.8427646228095d-57, 1.2804891777875d-46,
-     |   1.6772272211566d-39, 3.2748947970973d-34, 5.1714450849663d-30,
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-     |  -1.2804891777875d-46,-1.8427646228095d-57,-7.9590823531593d-81/
-      data (pmn(lat,50,50), lat = 1,72)/
-     |   1.7366779474700d-83, 1.2078117453235d-59, 1.4023637263536d-48,
-     |   2.5814995989827d-41, 6.5141707700995d-36, 1.2654445615357d-31,
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-     |   3.5782595953792d-20, 3.8669144878980d-18, 2.5634192827292d-16,
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-     |   1.3431816737680d-10, 1.8102375237412d-09, 1.9592599517214d-08,
-     |   1.7373064396065d-07, 1.2833309973833d-06, 8.0091575507721d-06,
-     |   4.2736591880484d-05, 1.9696630852592d-04, 7.9093397532242d-04,
-     |   2.7879557895683d-03, 8.6818864298116d-03, 2.4016975199837d-02,
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-     |   1.2654445615358d-31, 6.5141707700995d-36, 2.5814995989827d-41,
-     |   1.4023637263536d-48, 1.2078117453235d-59, 1.7366779474700d-83/
-      data (pmn(lat, 0,51), lat = 1,72)/
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-     |  -2.3655341579677d-01, 2.5762913945867d+00,-5.0842224489663d+00/
-      data (pmn(lat, 1,51), lat = 1,72)/
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-     |  -2.3904279414250d+00, 1.3747965882356d+00, 3.4279764320399d+00/
-      data (pmn(lat, 2,51), lat = 1,72)/
-     |   1.0174949030061d+00, 3.3921855459696d+00,-1.0846467758067d+00,
-     |  -1.0656532875151d+00, 1.8168396626265d+00,-1.0942880196689d+00,
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-      data (pmn(lat, 3,51), lat = 1,72)/
-     |   1.9554388459073d-01, 2.6486957575313d+00, 1.6220959218849d+00,
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-      data (pmn(lat,10,51), lat = 1,72)/
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-      data (pmn(lat,11,51), lat = 1,72)/
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-      data (pmn(lat,15,51), lat = 1,72)/
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-      data (pmn(lat,16,51), lat = 1,72)/
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-      data (pmn(lat,17,51), lat = 1,72)/
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-      data (pmn(lat,18,51), lat = 1,72)/
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-      data (pmn(lat,19,51), lat = 1,72)/
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-      data (pmn(lat,20,51), lat = 1,72)/
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-     |  -1.1371932593517d-09,-5.2345038358678d-14,-1.6829217678281d-23/
-      data (pmn(lat,21,51), lat = 1,72)/
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-     |   1.4213981529196d-10, 3.8790872647197d-15, 4.1329795653389d-25/
-      data (pmn(lat,22,51), lat = 1,72)/
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-     |  -1.6772334585724d-11,-2.7165592328461d-16,-9.5963995798358d-27/
-      data (pmn(lat,23,51), lat = 1,72)/
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-     |   3.1856322477442d-09, 6.8822347714673d-07, 4.1499151311710d-05,
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-     |   1.8714162775273d-12, 1.8004881280141d-17, 2.1096889422750d-28/
-      data (pmn(lat,24,51), lat = 1,72)/
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-      data (pmn(lat,25,51), lat = 1,72)/
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-     |   6.7909705445613d-11, 2.5194838441371d-08, 2.3864361945738d-06,
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-     |   1.9802034717642d-14, 6.7372529706083d-20, 8.6946936399105d-32/
-      data (pmn(lat,26,51), lat = 1,72)/
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-     |  -1.8818439439973d-15,-3.8110268933241d-21,-1.6329877553566d-33/
-      data (pmn(lat,27,51), lat = 1,72)/
-     |   2.9146906244390d-35, 2.0481848786744d-22, 1.6982157379588d-16,
-     |   1.1688230451416d-12, 7.4058591090304d-10, 1.0934684875148d-07,
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-     |   1.6982157379588d-16, 2.0481848786744d-22, 2.9146906244390d-35/
-      data (pmn(lat,28,51), lat = 1,72)/
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-      data (pmn(lat,29,51), lat = 1,72)/
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-     |   1.6342655449137d-14, 1.7608652895155d-11, 4.0289512894651d-09,
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-     |   1.1867097945228d-18, 5.0834536349450d-25, 7.9843617510016d-39/
-      data (pmn(lat,30,51), lat = 1,72)/
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-     |   1.7895458642123d-15, 2.5110596124895d-12, 7.1393595469881d-10,
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-     |  -9.1952204708135d-20,-2.3488587998069d-26,-1.2260123425738d-40/
-      data (pmn(lat,31,51), lat = 1,72)/
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-     |   1.8621429775489d-16, 3.4002038972899d-13, 1.2000428706087d-10,
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-     |   6.7743316022747d-21, 1.0322708507626d-27, 1.7908637479986d-42/
-      data (pmn(lat,32,51), lat = 1,72)/
-     |   2.4881184637054d-44, 4.3142336903247d-29, 4.7446706448200d-22,
-     |   1.8412140479666d-17, 4.3719347971790d-14, 1.9136126282839d-11,
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-     |  -4.7446706448200d-22,-4.3142336903247d-29,-2.4881184637054d-44/
-      data (pmn(lat,33,51), lat = 1,72)/
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-     |   1.7294366586613d-18, 5.3367846562948d-15, 2.8945905917101d-12,
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-     |   3.1582709463457d-23, 1.7141266264236d-30, 3.2867779179941d-46/
-      data (pmn(lat,34,51), lat = 1,72)/
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-     |   1.5424612063323d-19, 6.1822700485815d-16, 4.1519828131310d-13,
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-     |  -1.9970050262495d-24,-6.4711756029434d-32,-4.1259786534265d-48/
-      data (pmn(lat,35,51), lat = 1,72)/
-     |   4.9183115301197d-50, 2.3195533191627d-33, 1.1986294331366d-25,
-     |   1.3053828608869d-20, 6.7921197579147d-17, 5.6443783377326d-14,
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-      data (pmn(lat,37,51), lat = 1,72)/
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-      data (pmn(lat,38,51), lat = 1,72)/
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-      data (pmn(lat,39,51), lat = 1,72)/
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-      data (pmn(lat,40,51), lat = 1,72)/
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-      data (pmn(lat,41,51), lat = 1,72)/
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-      data (pmn(lat,42,51), lat = 1,72)/
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-      data (pmn(lat,43,51), lat = 1,72)/
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-     |  -1.5552705393756d-01, 9.5590602917390d-01, 1.5057657015171d+00,
-     |   1.3914812093070d+00, 9.4212311875364d-01, 4.9979422501595d-01,
-     |   2.1357872362787d-01, 7.4375075647034d-02, 2.1165283630909d-02,
-     |   4.9071115718119d-03, 9.1972810946614d-04, 1.3766637144395d-04,
-     |   1.6181043770124d-05, 1.4606349315317d-06, 9.8385999926776d-08,
-     |   4.7647045351584d-09, 1.5806984767403d-10, 3.3702771478158d-12,
-     |   4.2380154951300d-14, 2.7902292190752d-16, 8.1061928228105d-19,
-     |   8.0298394689249d-22, 1.7911773653347d-25, 4.3288170699616d-30,
-     |   2.5706406153202d-36, 8.1019732218374d-46, 2.5785645510326d-66/
-      data (pmn(lat,44,51), lat = 1,72)/
-     |   1.7626901128844d-68, 1.6641891601601d-47, 8.8286199149513d-38,
-     |   2.0914563508938d-31, 1.1199252229955d-26, 6.1870504336565d-23,
-     |   7.4559154671937d-20, 2.9967293222339d-17, 5.2308310156016d-15,
-     |   4.7244105665773d-13, 2.4943926748146d-11, 8.4084571755707d-10,
-     |   1.9323221543902d-08, 3.1819946904795d-07, 3.9020398429876d-06,
-     |   3.6719241138479d-05, 2.7145767113711d-04, 1.6055824635097d-03,
-     |   7.7033203454868d-03, 3.0276140476310d-02, 9.8052559292033d-02,
-     |   2.6207148551995d-01, 5.7571176050430d-01, 1.0262719112160d+00,
-     |   1.4416117330145d+00, 1.4862939664271d+00, 8.8110072678260d-01,
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-     |   6.1055878502039d-01, 1.0927702052630d+00, 2.6004145941412d-01,
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-     |  -8.4084571755707d-10,-2.4943926748146d-11,-4.7244105665774d-13,
-     |  -5.2308310156018d-15,-2.9967293222340d-17,-7.4559154671937d-20,
-     |  -6.1870504336570d-23,-1.1199252229955d-26,-2.0914563508938d-31,
-     |  -8.8286199149513d-38,-1.6641891601601d-47,-1.7626901128844d-68/
-      data (pmn(lat,45,51), lat = 1,72)/
-     |   1.1078703043603d-70, 3.1427178360128d-49, 2.7873162573423d-39,
-     |   9.2874360004561d-33, 6.4343571481081d-28, 4.3792017870252d-24,
-     |   6.2973224657259d-21, 2.9541068389193d-18, 5.9225500824702d-16,
-     |   6.0711458982989d-14, 3.6055926551662d-12, 1.3579405910225d-10,
-     |   3.4690986467297d-09, 6.3278252542178d-08, 8.5753945015341d-07,
-     |   8.9074679215636d-06, 7.2684705621865d-05, 4.7506306248532d-04,
-     |   2.5249426036759d-03, 1.1038451611514d-02, 4.0012587332030d-02,
-     |   1.2080390970267d-01, 3.0394474818158d-01, 6.3426907704388d-01,
-     |   1.0835061240495d+00, 1.4715867148118d+00, 1.4814904440735d+00,
-     |   8.6978121758893d-01,-2.0917560104605d-01,-1.1043814302235d+00,
-     |  -1.0969862310984d+00,-1.2905768687107d-01, 9.4031330294098d-01,
-     |   1.0558468422609d+00, 7.6952450901816d-02,-9.7694240462190d-01,
-     |  -9.7694240462191d-01, 7.6952450901813d-02, 1.0558468422609d+00,
-     |   9.4031330294099d-01,-1.2905768687107d-01,-1.0969862310984d+00,
-     |  -1.1043814302235d+00,-2.0917560104606d-01, 8.6978121758893d-01,
-     |   1.4814904440735d+00, 1.4715867148118d+00, 1.0835061240495d+00,
-     |   6.3426907704389d-01, 3.0394474818158d-01, 1.2080390970267d-01,
-     |   4.0012587332031d-02, 1.1038451611514d-02, 2.5249426036759d-03,
-     |   4.7506306248532d-04, 7.2684705621866d-05, 8.9074679215637d-06,
-     |   8.5753945015340d-07, 6.3278252542178d-08, 3.4690986467298d-09,
-     |   1.3579405910225d-10, 3.6055926551662d-12, 6.0711458982991d-14,
-     |   5.9225500824704d-16, 2.9541068389194d-18, 6.2973224657259d-21,
-     |   4.3792017870256d-24, 6.4343571481081d-28, 9.2874360004561d-33,
-     |   2.7873162573423d-39, 3.1427178360128d-49, 1.1078703043603d-70/
-      data (pmn(lat,46,51), lat = 1,72)/
-     |   6.3391436613188d-73, 5.4027414205284d-51, 8.0101393303263d-41,
-     |   3.7534756232870d-34, 3.3636982109563d-29, 2.8195490757539d-25,
-     |   4.8365094884431d-22, 2.6469178671346d-19, 6.0919891136711d-17,
-     |   7.0833626649557d-15, 4.7284330782417d-13, 1.9879123610227d-11,
-     |   5.6397168136415d-10, 1.1380910052292d-08, 1.7019204143647d-07,
-     |   1.9478491213380d-06, 1.7505100519096d-05, 1.2608281038107d-04,
-     |   7.3977020667290d-04, 3.5811605891946d-03, 1.4441720729752d-02,
-     |   4.8840815253877d-02, 1.3902322815383d-01, 3.3308404037719d-01,
-     |   6.6852777338376d-01, 1.1102499280756d+00, 1.4851052968290d+00,
-     |   1.5020526151512d+00, 9.3609688988357d-01,-9.5578872569411d-02,
-     |  -1.0344171685883d+00,-1.2043025245968d+00,-4.1716586427910d-01,
-     |   7.1081195735935d-01, 1.1930430438603d+00, 5.7654520433597d-01,
-     |  -5.7654520433596d-01,-1.1930430438603d+00,-7.1081195735935d-01,
-     |   4.1716586427909d-01, 1.2043025245968d+00, 1.0344171685883d+00,
-     |   9.5578872569415d-02,-9.3609688988356d-01,-1.5020526151512d+00,
-     |  -1.4851052968290d+00,-1.1102499280756d+00,-6.6852777338377d-01,
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-     |  -1.4441720729752d-02,-3.5811605891946d-03,-7.3977020667291d-04,
-     |  -1.2608281038107d-04,-1.7505100519096d-05,-1.9478491213380d-06,
-     |  -1.7019204143647d-07,-1.1380910052292d-08,-5.6397168136416d-10,
-     |  -1.9879123610227d-11,-4.7284330782417d-13,-7.0833626649559d-15,
-     |  -6.0919891136713d-17,-2.6469178671347d-19,-4.8365094884431d-22,
-     |  -2.8195490757542d-25,-3.3636982109563d-29,-3.7534756232870d-34,
-     |  -8.0101393303263d-41,-5.4027414205284d-51,-6.3391436613188d-73/
-      data (pmn(lat,47,51), lat = 1,72)/
-     |   3.2573629015628d-75, 8.3405682956661d-53, 2.0669203828738d-42,
-     |   1.3618711024945d-35, 1.5783549038837d-30, 1.6290180427480d-26,
-     |   3.3321746201562d-23, 2.1266778022605d-20, 5.6162871491829d-18,
-     |   7.4028942054731d-16, 5.5508430383775d-14, 2.6029700572241d-12,
-     |   8.1930219538427d-11, 1.8270882066899d-09, 3.0109531790682d-08,
-     |   3.7908634170874d-07, 3.7447347358881d-06, 2.9652094101847d-05,
-     |   1.9148770652855d-04, 1.0225692759442d-03, 4.5651664340152d-03,
-     |   1.7180609315155d-02, 5.4821592977115d-02, 1.4878682631400d-01,
-     |   3.4348298790592d-01, 6.7174895730183d-01, 1.1012868691076d+00,
-     |   1.4797431471372d+00, 1.5486308247509d+00, 1.0878164627260d+00,
-     |   1.4353906577078d-01,-8.5495277332187d-01,-1.2916497908397d+00,
-     |  -8.2716504040490d-01, 2.4112795878534d-01, 1.1169979282294d+00,
-     |   1.1169979282294d+00, 2.4112795878534d-01,-8.2716504040489d-01,
-     |  -1.2916497908397d+00,-8.5495277332187d-01, 1.4353906577078d-01,
-     |   1.0878164627260d+00, 1.5486308247509d+00, 1.4797431471373d+00,
-     |   1.1012868691076d+00, 6.7174895730183d-01, 3.4348298790592d-01,
-     |   1.4878682631400d-01, 5.4821592977115d-02, 1.7180609315155d-02,
-     |   4.5651664340153d-03, 1.0225692759442d-03, 1.9148770652855d-04,
-     |   2.9652094101847d-05, 3.7447347358882d-06, 3.7908634170875d-07,
-     |   3.0109531790681d-08, 1.8270882066899d-09, 8.1930219538430d-11,
-     |   2.6029700572241d-12, 5.5508430383775d-14, 7.4028942054734d-16,
-     |   5.6162871491831d-18, 2.1266778022606d-20, 3.3321746201562d-23,
-     |   1.6290180427481d-26, 1.5783549038837d-30, 1.3618711024945d-35,
-     |   2.0669203828738d-42, 8.3405682956661d-53, 3.2573629015628d-75/
-      data (pmn(lat,48,51), lat = 1,72)/
-     |   1.4733481789744d-77, 1.1333417504350d-54, 4.6940859931358d-44,
-     |   4.3483138238117d-37, 6.5161570434990d-32, 8.2787449370521d-28,
-     |   2.0187534167047d-24, 1.5019720399806d-21, 4.5493128261524d-19,
-     |   6.7942472506404d-17, 5.7188470045457d-15, 2.9890343266778d-13,
-     |   1.0429078067829d-11, 2.5675229671611d-10, 4.6571060270435d-09,
-     |   6.4408359578169d-08, 6.9814604217568d-07, 6.0647141698439d-06,
-     |   4.2995057004920d-05, 2.5246221557218d-04, 1.2426602180795d-03,
-     |   5.1765878717392d-03, 1.8385543091572d-02, 5.5968563136315d-02,
-     |   1.4648333613815d-01, 3.2980030505942d-01, 6.3699839211653d-01,
-     |   1.0473533252391d+00, 1.4418980514307d+00, 1.6040538938380d+00,
-     |   1.3165711960587d+00, 5.3632178941196d-01,-4.7504158434153d-01,
-     |  -1.2186027275746d+00,-1.2524541846164d+00,-5.2620322061070d-01,
-     |   5.2620322061070d-01, 1.2524541846164d+00, 1.2186027275746d+00,
-     |   4.7504158434153d-01,-5.3632178941195d-01,-1.3165711960587d+00,
-     |  -1.6040538938380d+00,-1.4418980514308d+00,-1.0473533252391d+00,
-     |  -6.3699839211653d-01,-3.2980030505943d-01,-1.4648333613815d-01,
-     |  -5.5968563136315d-02,-1.8385543091572d-02,-5.1765878717392d-03,
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-     |  -4.6571060270434d-09,-2.5675229671611d-10,-1.0429078067830d-11,
-     |  -2.9890343266778d-13,-5.7188470045457d-15,-6.7942472506406d-17,
-     |  -4.5493128261526d-19,-1.5019720399806d-21,-2.0187534167047d-24,
-     |  -8.2787449370528d-28,-6.5161570434990d-32,-4.3483138238117d-37,
-     |  -4.6940859931358d-44,-1.1333417504350d-54,-1.4733481789744d-77/
-      data (pmn(lat,49,51), lat = 1,72)/
-     |   5.6819904003670d-80, 1.3129956329002d-56, 9.0881972767666d-46,
-     |   1.1834441275617d-38, 2.2926742470788d-33, 3.5848164352173d-29,
-     |   1.0417862270480d-25, 9.0325752467084d-23, 3.1365518011396d-20,
-     |   5.3049214913720d-18, 5.0096323386292d-16, 2.9163996526806d-14,
-     |   1.1270879766459d-12, 3.0603754333404d-11, 6.1031914342433d-10,
-     |   9.2599892521328d-09, 1.0996712060770d-07, 1.0460404824853d-06,
-     |   8.1226718641290d-06, 5.2299663214311d-05, 2.8284393211784d-04,
-     |   1.2985065344670d-03, 5.1042082136170d-03, 1.7296553380600d-02,
-     |   5.0787875991424d-02, 1.2965888002209d-01, 2.8822041803906d-01,
-     |   5.5735390020360d-01, 9.3361264723585d-01, 1.3415586125904d+00,
-     |   1.6206943268110d+00, 1.5735522763004d+00, 1.0787432156203d+00,
-     |   2.1063705920235d-01,-7.3202491692137d-01,-1.3469714829783d+00,
-     |  -1.3469714829783d+00,-7.3202491692137d-01, 2.1063705920235d-01,
-     |   1.0787432156203d+00, 1.5735522763004d+00, 1.6206943268110d+00,
-     |   1.3415586125904d+00, 9.3361264723586d-01, 5.5735390020360d-01,
-     |   2.8822041803906d-01, 1.2965888002209d-01, 5.0787875991424d-02,
-     |   1.7296553380601d-02, 5.1042082136170d-03, 1.2985065344670d-03,
-     |   2.8284393211784d-04, 5.2299663214312d-05, 8.1226718641291d-06,
-     |   1.0460404824853d-06, 1.0996712060770d-07, 9.2599892521329d-09,
-     |   6.1031914342432d-10, 3.0603754333403d-11, 1.1270879766460d-12,
-     |   2.9163996526806d-14, 5.0096323386292d-16, 5.3049214913721d-18,
-     |   3.1365518011398d-20, 9.0325752467086d-23, 1.0417862270480d-25,
-     |   3.5848164352176d-29, 2.2926742470788d-33, 1.1834441275617d-38,
-     |   9.0881972767666d-46, 1.3129956329002d-56, 5.6819904003670d-80/
-      data (pmn(lat,50,51), lat = 1,72)/
-     |   1.7621161814884d-82, 1.2231705221516d-58, 1.4147844599442d-47,
-     |   2.5894438534050d-40, 6.4841296680532d-35, 1.2474809861796d-30,
-     |   4.3193895350007d-27, 4.3628397090341d-24, 1.7361994214507d-21,
-     |   3.3239873771149d-19, 3.5197677313464d-17, 2.2808804336478d-15,
-     |   9.7564509281836d-14, 2.9193507881932d-12, 6.3946132654758d-11,
-     |   1.0631233320276d-09, 1.3812729018632d-08, 1.4363713864945d-07,
-     |   1.2192574721018d-06, 8.5875751514186d-06, 5.0877608273126d-05,
-     |   2.5646816426877d-04, 1.1105791774362d-03, 4.1642464550764d-03,
-     |   1.3609414159746d-02, 3.8970730523966d-02, 9.8167764589056d-02,
-     |   2.1812437907247d-01, 4.2804302977291d-01, 7.4143574463110d-01,
-     |   1.1300686377043d+00, 1.5046107690280d+00, 1.7237674619005d+00,
-     |   1.6441338382779d+00, 1.1954936292950d+00, 4.3860771891039d-01,
-     |  -4.3860771891038d-01,-1.1954936292950d+00,-1.6441338382779d+00,
-     |  -1.7237674619005d+00,-1.5046107690280d+00,-1.1300686377043d+00,
-     |  -7.4143574463110d-01,-4.2804302977291d-01,-2.1812437907247d-01,
-     |  -9.8167764589056d-02,-3.8970730523966d-02,-1.3609414159746d-02,
-     |  -4.1642464550764d-03,-1.1105791774362d-03,-2.5646816426877d-04,
-     |  -5.0877608273127d-05,-8.5875751514187d-06,-1.2192574721019d-06,
-     |  -1.4363713864945d-07,-1.3812729018632d-08,-1.0631233320277d-09,
-     |  -6.3946132654757d-11,-2.9193507881932d-12,-9.7564509281839d-14,
-     |  -2.2808804336478d-15,-3.5197677313464d-17,-3.3239873771150d-19,
-     |  -1.7361994214508d-21,-4.3628397090342d-24,-4.3193895350007d-27,
-     |  -1.2474809861797d-30,-6.4841296680532d-35,-2.5894438534050d-40,
-     |  -1.4147844599442d-47,-1.2231705221516d-58,-1.7621161814884d-82/
-      data (pmn(lat,51,51), lat = 1,72)/
-     |   3.8070689696158d-85, 7.9380951962127d-61, 1.5341751798942d-49,
-     |   3.9462679688689d-42, 1.2770661438761d-36, 3.0224912719878d-32,
-     |   1.2465831206328d-28, 1.4663931836346d-25, 6.6851893570849d-23,
-     |   1.4481793507784d-20, 1.7186558826393d-18, 1.2390051429108d-16,
-     |   5.8620296683021d-15, 1.9314291593187d-13, 4.6425289789200d-12,
-     |   8.4484010548181d-11, 1.1994091109383d-09, 1.3614790779292d-08,
-     |   1.2611043603218d-07, 9.6957749667392d-07, 6.2767617304569d-06,
-     |   3.4633226442473d-05, 1.6457234359419d-04, 6.7948536215657d-04,
-     |   2.4562279528343d-03, 7.8246235368838d-03, 2.2090510131736d-02,
-     |   5.5537960888940d-02, 1.2485504104060d-01, 2.5186886058567d-01,
-     |   4.5727086378339d-01, 7.4896632910001d-01, 1.1089154470159d+00,
-     |   1.4864569107755d+00, 1.8060002155021d+00, 1.9903061883193d+00,
-     |   1.9903061883193d+00, 1.8060002155021d+00, 1.4864569107755d+00,
-     |   1.1089154470159d+00, 7.4896632910001d-01, 4.5727086378339d-01,
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-     |   2.2090510131736d-02, 7.8246235368838d-03, 2.4562279528343d-03,
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-      data (pmn(lat, 0,52), lat = 1,72)/
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-      data (pmn(lat, 1,52), lat = 1,72)/
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-      data (pmn(lat, 2,52), lat = 1,72)/
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-      data (pmn(lat, 3,52), lat = 1,72)/
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-      data (pmn(lat, 4,52), lat = 1,72)/
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-      data (pmn(lat, 5,52), lat = 1,72)/
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-      data (pmn(lat, 6,52), lat = 1,72)/
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-      data (pmn(lat, 7,52), lat = 1,72)/
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-      data (pmn(lat, 8,52), lat = 1,72)/
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-      data (pmn(lat, 9,52), lat = 1,72)/
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-      data (pmn(lat,10,52), lat = 1,72)/
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-      data (pmn(lat,11,52), lat = 1,72)/
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-      data (pmn(lat,12,52), lat = 1,72)/
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-      data (pmn(lat,13,52), lat = 1,72)/
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-      data (pmn(lat,14,52), lat = 1,72)/
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-      data (pmn(lat,15,52), lat = 1,72)/
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-      data (pmn(lat,16,52), lat = 1,72)/
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-     |   3.4181185801143d-06, 1.3068189356724d-09, 3.5272253596098d-17/
-      data (pmn(lat,17,52), lat = 1,72)/
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-     |  -5.6254608751510d-07,-1.2665468519333d-10,-1.1292778528228d-18/
-      data (pmn(lat,18,52), lat = 1,72)/
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-     |   8.6575814403939d-08, 1.1501607730941d-11, 3.3908060346126d-20/
-      data (pmn(lat,19,52), lat = 1,72)/
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-     |  -1.2497671732053d-08,-9.8133420951210d-13,-9.5734358333387d-22/
-      data (pmn(lat,20,52), lat = 1,72)/
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-     |   1.6966569639563d-09, 7.8854340923132d-14, 2.5472708702289d-23/
-      data (pmn(lat,21,52), lat = 1,72)/
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-      data (pmn(lat,22,52), lat = 1,72)/
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-     |   2.6236191263682d-11, 4.2868366611347d-16, 1.5209179784770d-26/
-      data (pmn(lat,23,52), lat = 1,72)/
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-      data (pmn(lat,24,52), lat = 1,72)/
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-      data (pmn(lat,25,52), lat = 1,72)/
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-      data (pmn(lat,26,52), lat = 1,72)/
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-     |   3.2530779869352d-15, 6.6371383044020d-21, 2.8544369996548d-33/
-      data (pmn(lat,27,52), lat = 1,72)/
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-     |   2.0520644182144d-12, 1.2810498005238d-09, 1.8556345083724d-07,
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-     |  -3.0141843289013d-16,-3.6614709742559d-22,-5.2290167051091d-35/
-      data (pmn(lat,28,52), lat = 1,72)/
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-     |   2.5590702479028d-13, 2.0854451783354d-10, 3.7658220261454d-08,
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-     |   2.6554073195676d-17, 1.9214658546270d-23, 9.1143793411468d-37/
-      data (pmn(lat,29,52), lat = 1,72)/
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-     |  -2.2252828058936d-18,-9.5961414652240d-25,-1.5122222747322d-38/
-      data (pmn(lat,30,52), lat = 1,72)/
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-     |   1.7744667389129d-19, 4.5620931075873d-26, 2.3888729157017d-40/
-      data (pmn(lat,31,52), lat = 1,72)/
-     |   3.5933538447271d-42, 2.0648279485913d-27, 1.3466184116258d-20,
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-      data (pmn(lat,32,52), lat = 1,72)/
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-      data (pmn(lat,33,52), lat = 1,72)/
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-      data (pmn(lat,34,52), lat = 1,72)/
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-      data (pmn(lat,35,52), lat = 1,72)/
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-      data (pmn(lat,36,52), lat = 1,72)/
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-      data (pmn(lat,37,52), lat = 1,72)/
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-      data (pmn(lat,38,52), lat = 1,72)/
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-      data (pmn(lat,39,52), lat = 1,72)/
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-     |  -2.3925586250228d-30,-5.9305421307520d-39,-1.5434481965030d-57/
-      data (pmn(lat,40,52), lat = 1,72)/
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-     |   6.8072335186800d-26, 1.2848732351510d-21, 3.0335426299027d-18,
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-     |   1.1350411899530d-31, 1.6815783193744d-40, 1.4559924818978d-59/
-      data (pmn(lat,41,52), lat = 1,72)/
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-     |   4.2837203043245d-27, 1.0474689014520d-22, 3.0517739797203d-19,
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-     |  -5.0733932006348d-33,-4.4930892772386d-42,-1.2943886968307d-61/
-      data (pmn(lat,42,52), lat = 1,72)/
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-     |   2.5318678149412d-28, 8.0178858704672d-24, 2.8815203669110d-20,
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-     |   9.0063705762707d-13, 6.9549296820141d-15, 2.4010670967888d-17,
-     |   2.8815203669113d-20, 8.0178858704672d-24, 2.5318678149412d-28,
-     |   2.1303490180080d-34, 1.1279788467649d-43, 1.0812576191943d-63/
-      data (pmn(lat,43,52), lat = 1,72)/
-     |   8.4561451982041d-66, 2.6509823073123d-45, 8.3732616480457d-36,
-     |   1.4004365640719d-29, 5.7419430688553d-25, 2.5445615700441d-21,
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-     |  -8.3732616480457d-36,-2.6509823073123d-45,-8.4561451982041d-66/
-      data (pmn(lat,44,52), lat = 1,72)/
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-     |   7.2165397777574d-31, 3.8298991196440d-26, 2.0921200857234d-22,
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-     |   1.4893644496033d-12, 7.6739898875422d-11, 2.5166945602439d-09,
-     |   5.6078962112688d-08, 8.9216106304195d-07, 1.0527181214127d-05,
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-     |   2.0921200857236d-22, 3.8298991196440d-26, 7.2165397777574d-31,
-     |   3.0666541761033d-37, 5.8062177065485d-47, 6.1634401453645d-68/
-      data (pmn(lat,45,52), lat = 1,72)/
-     |   4.1627943592607d-70, 1.1783266409210d-48, 1.0405670022083d-38,
-     |   3.4447058461759d-32, 2.3657418704993d-27, 1.5924836069631d-23,
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-     |  -1.0405670022083d-38,-1.1783266409210d-48,-4.1627943592607d-70/
-      data (pmn(lat,46,52), lat = 1,72)/
-     |   2.5860069177597d-72, 2.1993660039534d-50, 3.2470367975842d-40,
-     |   1.5118708965679d-33, 1.3433458780688d-28, 1.1139770001532d-24,
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-     |   5.9799795301994d-06, 5.1427872287654d-05, 3.5274342286690d-04,
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-     |   3.2470367975842d-40, 2.1993660039534d-50, 2.5860069177597d-72/
-      data (pmn(lat,47,52), lat = 1,72)/
-     |   1.4630622329645d-74, 3.7384851953937d-52, 9.2262708629380d-42,
-     |   6.0413117192873d-35, 6.9433613092597d-30, 7.0912006617721d-26,
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-     |  -7.0912006617728d-26,-6.9433613092597d-30,-6.0413117192873d-35,
-     |  -9.2262708629380d-42,-3.7384851953937d-52,-1.4630622329645d-74/
-      data (pmn(lat,48,52), lat = 1,72)/
-     |   7.4360403826019d-77, 5.7084598697805d-54, 2.3547703238183d-43,
-     |   2.1680411909199d-36, 3.2224393602688d-31, 4.0521449615495d-27,
-     |   9.7586595217529d-24, 7.1546354696761d-21, 2.1305410727672d-18,
-     |   3.1207879614336d-16, 2.5699437676184d-14, 1.3106776232958d-12,
-     |   4.4499184777254d-11, 1.0628551323516d-09, 1.8644371449318d-08,
-     |   2.4851405886813d-07, 2.5864286622282d-06, 2.1483806134215d-05,
-     |   1.4496403776951d-04, 8.0595927509735d-04, 3.7337487392359d-03,
-     |   1.4537066727687d-02, 4.7854847316462d-02, 1.3364798416988d-01,
-     |   3.1675381340354d-01, 6.3470061228691d-01, 1.0644640387243d+00,
-     |   1.4621314174628d+00, 1.5667846256450d+00, 1.1398027444192d+00,
-     |   2.0325782964582d-01,-8.2125477577983d-01,-1.2970833690342d+00,
-     |  -8.5282132961927d-01, 2.2517757846582d-01, 1.1195522758298d+00,
-     |   1.1195522758298d+00, 2.2517757846582d-01,-8.5282132961926d-01,
-     |  -1.2970833690342d+00,-8.2125477577983d-01, 2.0325782964582d-01,
-     |   1.1398027444192d+00, 1.5667846256450d+00, 1.4621314174628d+00,
-     |   1.0644640387243d+00, 6.3470061228691d-01, 3.1675381340355d-01,
-     |   1.3364798416988d-01, 4.7854847316462d-02, 1.4537066727687d-02,
-     |   3.7337487392360d-03, 8.0595927509736d-04, 1.4496403776951d-04,
-     |   2.1483806134215d-05, 2.5864286622282d-06, 2.4851405886814d-07,
-     |   1.8644371449318d-08, 1.0628551323516d-09, 4.4499184777256d-11,
-     |   1.3106776232958d-12, 2.5699437676184d-14, 3.1207879614337d-16,
-     |   2.1305410727673d-18, 7.1546354696763d-21, 9.7586595217529d-24,
-     |   4.0521449615499d-27, 3.2224393602688d-31, 2.1680411909199d-36,
-     |   2.3547703238183d-43, 5.7084598697805d-54, 7.4360403826019d-77/
-      data (pmn(lat,49,52), lat = 1,72)/
-     |   3.3278910077886d-79, 7.6748731517870d-56, 5.2912786898564d-45,
-     |   6.8491048719773d-38, 1.3162805061786d-32, 2.0374854032736d-28,
-     |   5.8493729605168d-25, 4.9992221935060d-22, 1.7073816768450d-19,
-     |   2.8335818291397d-17, 2.6193293197310d-15, 1.4888716245396d-13,
-     |   5.6031617728749d-12, 1.4773530543505d-10, 2.8522465210663d-09,
-     |   4.1758876780531d-08, 4.7684755391049d-07, 4.3448220936339d-06,
-     |   3.2179946762717d-05, 1.9669452145869d-04, 1.0044457643852d-03,
-     |   4.3276576239064d-03, 1.5851575093915d-02, 4.9632141505795d-02,
-     |   1.3327401004171d-01, 3.0714363884195d-01, 6.0596302133952d-01,
-     |   1.0158331192197d+00, 1.4239480896572d+00, 1.6124594192372d+00,
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-     |  -1.2130038531764d+00,-1.2639167125975d+00,-5.3363808034126d-01,
-     |   5.3363808034125d-01, 1.2639167125975d+00, 1.2130038531764d+00,
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-     |  -1.6124594192372d+00,-1.4239480896572d+00,-1.0158331192197d+00,
-     |  -6.0596302133952d-01,-3.0714363884195d-01,-1.3327401004172d-01,
-     |  -4.9632141505795d-02,-1.5851575093915d-02,-4.3276576239064d-03,
-     |  -1.0044457643852d-03,-1.9669452145869d-04,-3.2179946762718d-05,
-     |  -4.3448220936339d-06,-4.7684755391050d-07,-4.1758876780532d-08,
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-     |  -1.4888716245396d-13,-2.6193293197310d-15,-2.8335818291398d-17,
-     |  -1.7073816768451d-19,-4.9992221935061d-22,-5.8493729605168d-25,
-     |  -2.0374854032738d-28,-1.3162805061786d-32,-6.8491048719773d-38,
-     |  -5.2912786898564d-45,-7.6748731517870d-56,-3.3278910077886d-79/
-      data (pmn(lat,50,52), lat = 1,72)/
-     |   1.2702531329590d-81, 8.8003305525186d-58, 1.0139378449802d-46,
-     |   1.8449413757996d-39, 4.5837218815904d-34, 8.7319700842902d-30,
-     |   2.9875515269566d-26, 2.9754826261444d-23, 1.1650268717497d-20,
-     |   2.1895974030828d-18, 2.2707496562372d-16, 1.4376212729347d-14,
-     |   5.9924397878592d-13, 1.7425637419464d-11, 3.6987484381381d-10,
-     |   5.9405100515938d-09, 7.4315415866269d-08, 7.4142024116906d-07,
-     |   6.0143088852819d-06, 4.0306323468982d-05, 2.2612481255989d-04,
-     |   1.0735365963669d-03, 4.3511758387997d-03, 1.5161961174837d-02,
-     |   4.5661867701972d-02, 1.1927101663978d-01, 2.7064125785457d-01,
-     |   5.3307705276877d-01, 9.0767413378853d-01, 1.3233503296756d+00,
-     |   1.6196235314214d+00, 1.5920716045768d+00, 1.1082736135464d+00,
-     |   2.3567534955854d-01,-7.2283670486879d-01,-1.3516281765598d+00,
-     |  -1.3516281765598d+00,-7.2283670486880d-01, 2.3567534955854d-01,
-     |   1.1082736135464d+00, 1.5920716045768d+00, 1.6196235314214d+00,
-     |   1.3233503296756d+00, 9.0767413378854d-01, 5.3307705276878d-01,
-     |   2.7064125785457d-01, 1.1927101663978d-01, 4.5661867701972d-02,
-     |   1.5161961174837d-02, 4.3511758387997d-03, 1.0735365963669d-03,
-     |   2.2612481255990d-04, 4.0306323468982d-05, 6.0143088852820d-06,
-     |   7.4142024116907d-07, 7.4315415866270d-08, 5.9405100515939d-09,
-     |   3.6987484381380d-10, 1.7425637419464d-11, 5.9924397878594d-13,
-     |   1.4376212729347d-14, 2.2707496562372d-16, 2.1895974030828d-18,
-     |   1.1650268717498d-20, 2.9754826261445d-23, 2.9875515269566d-26,
-     |   8.7319700842910d-30, 4.5837218815904d-34, 1.8449413757996d-39,
-     |   1.0139378449802d-46, 8.8003305525186d-58, 1.2702531329590d-81/
-      data (pmn(lat,51,52), lat = 1,72)/
-     |   3.9001564768782d-84, 8.1167112746759d-60, 1.5627179501170d-48,
-     |   3.9966585499246d-41, 1.2834589429127d-35, 3.0083745349612d-31,
-     |   1.2263365652055d-27, 1.4228627763850d-24, 6.3845154449305d-22,
-     |   1.3582693764807d-19, 1.5794809898485d-17, 1.1130944544016d-15,
-     |   5.1352785890536d-14, 1.6455830866336d-12, 3.8363993906607d-11,
-     |   6.7514872395605d-10, 9.2403263413212d-09, 1.0077706194067d-07,
-     |   8.9360596852057d-07, 6.5507410294134d-06, 4.0257938341263d-05,
-     |   2.0984690458646d-04, 9.3689403058410d-04, 3.6120382093355d-03,
-     |   1.2105932686834d-02, 3.5462057965925d-02, 9.1165889617849d-02,
-     |   2.0626158510315d-01, 4.1124433479381d-01, 7.2220729228815d-01,
-     |   1.1137086296626d+00, 1.4972443016824d+00, 1.7285783398775d+00,
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-     |  -7.2220729228815d-01,-4.1124433479382d-01,-2.0626158510315d-01,
-     |  -9.1165889617849d-02,-3.5462057965925d-02,-1.2105932686834d-02,
-     |  -3.6120382093356d-03,-9.3689403058410d-04,-2.0984690458646d-04,
-     |  -4.0257938341264d-05,-6.5507410294135d-06,-8.9360596852058d-07,
-     |  -1.0077706194067d-07,-9.2403263413213d-09,-6.7514872395606d-10,
-     |  -3.8363993906606d-11,-1.6455830866335d-12,-5.1352785890537d-14,
-     |  -1.1130944544016d-15,-1.5794809898485d-17,-1.3582693764807d-19,
-     |  -6.3845154449308d-22,-1.4228627763851d-24,-1.2263365652055d-27,
-     |  -3.0083745349614d-31,-1.2834589429127d-35,-3.9966585499246d-41,
-     |  -1.5627179501170d-48,-8.1167112746759d-60,-3.9001564768782d-84/
-      data (pmn(lat,52,52), lat = 1,72)/
-     |   8.3449099221080d-87, 5.2166633427816d-62, 1.6782192117397d-50,
-     |   6.0319889367279d-43, 2.5033818373199d-37, 7.2184913530187d-33,
-     |   3.5050318131853d-29, 4.7361735715514d-26, 2.4345879272494d-23,
-     |   5.8604681532026d-21, 7.6378784545812d-19, 5.9880583644245d-17,
-     |   3.0556497540911d-15, 1.0781910742631d-13, 2.7583385469992d-12,
-     |   5.3134150303606d-11, 7.9461832712235d-10, 9.4599607774920d-09,
-     |   9.1534555844951d-08, 7.3246322289855d-07, 4.9186271455760d-06,
-     |   2.8063735134052d-05, 1.3749319858859d-04, 5.8368620965683d-04,
-     |   2.1637690766873d-03, 7.0513497491934d-03, 2.0316675025992d-02,
-     |   5.2010076129848d-02, 1.1879604899831d-01, 2.4296641376990d-01,
-     |   4.4629673412969d-01, 7.3809831352307d-01, 1.1012660159017d+00,
-     |   1.4847088699621d+00, 1.8107768058025d+00, 1.9993761654840d+00,
-     |   1.9993761654840d+00, 1.8107768058025d+00, 1.4847088699621d+00,
-     |   1.1012660159017d+00, 7.3809831352307d-01, 4.4629673412969d-01,
-     |   2.4296641376991d-01, 1.1879604899831d-01, 5.2010076129848d-02,
-     |   2.0316675025992d-02, 7.0513497491934d-03, 2.1637690766873d-03,
-     |   5.8368620965683d-04, 1.3749319858859d-04, 2.8063735134052d-05,
-     |   4.9186271455762d-06, 7.3246322289856d-07, 9.1534555844953d-08,
-     |   9.4599607774921d-09, 7.9461832712236d-10, 5.3134150303607d-11,
-     |   2.7583385469991d-12, 1.0781910742631d-13, 3.0556497540912d-15,
-     |   5.9880583644245d-17, 7.6378784545812d-19, 5.8604681532028d-21,
-     |   2.4345879272495d-23, 4.7361735715516d-26, 3.5050318131853d-29,
-     |   7.2184913530194d-33, 2.5033818373199d-37, 6.0319889367279d-43,
-     |   1.6782192117397d-50, 5.2166633427816d-62, 8.3449099221080d-87/
-      data (pmn(lat, 0,53), lat = 1,72)/
-     |   5.0276137028103d+00,-2.7830097272561d+00, 7.5275372766860d-01,
-     |   9.5125738554797d-01,-1.7336813049838d+00, 1.4179168558776d+00,
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-     |   8.4340144260164d-01,-4.8994031584277d-01,-1.5460778369457d-01,
-     |   6.9255003214399d-01,-7.9835156454077d-01, 4.1433953536744d-01,
-     |   2.1848996762362d-01,-7.1069105971907d-01, 7.6263832593167d-01,
-     |  -3.4590631052019d-01,-2.8146452013408d-01, 7.3386198151761d-01,
-     |  -7.3386198151761d-01, 2.8146452013408d-01, 3.4590631052019d-01,
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-     |   6.8415096548749d-01,-9.8212184849099d-01, 6.7533162740200d-01,
-     |   7.5852647949871d-02,-8.2504051078131d-01, 1.1002219618325d+00,
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-     |  -1.2983618231510d+00, 7.5119208491807d-01, 3.6266917087781d-01,
-     |  -1.4179168558776d+00, 1.7336813049838d+00,-9.5125738554797d-01,
-     |  -7.5275372766860d-01, 2.7830097272561d+00,-5.0276137028103d+00/
-      data (pmn(lat, 1,53), lat = 1,72)/
-     |   3.5818689085235d+00, 1.0008502639423d+00,-2.2379744647557d+00,
-     |   1.8699206900924d+00,-5.8571984811666d-01,-7.6259415369571d-01,
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-     |  -7.5691311311281d-01, 4.0002236988856d-02, 6.6607291924173d-01,
-     |  -9.3888563551639d-01, 6.3322359002857d-01, 4.4183413809517d-02,
-     |  -6.7143909736871d-01, 8.7127891993910d-01,-5.3568977818753d-01,
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-     |   7.8007861162214d-01,-3.8080272404096d-01,-2.4886572665777d-01,
-     |   7.2133724048344d-01,-7.4772394951705d-01, 3.1352999076650d-01,
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-     |   6.6607291924173d-01, 4.0002236988872d-02,-7.5691311311282d-01,
-     |   1.0339727633969d+00,-6.7052132142482d-01,-1.4532814054071d-01,
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-     |   2.9617508603324d-01,-1.2109258330652d+00, 1.4528987967190d+00,
-     |  -7.6259415369567d-01,-5.8571984811666d-01, 1.8699206900924d+00,
-     |  -2.2379744647557d+00, 1.0008502639423d+00, 3.5818689085235d+00/
-      data (pmn(lat, 2,53), lat = 1,72)/
-     |   1.1096674536967d+00, 3.3550491643901d+00,-1.5172350335982d+00,
-     |  -4.9724048509366d-01, 1.6241651166862d+00,-1.5349617302358d+00,
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-     |  -2.1269880291245d-02,-6.5234189376350d-01, 9.0366497585008d-01,
-     |  -5.9593938948260d-01,-6.5381510807510d-02, 6.6765843103380d-01,
-     |  -8.4610091008160d-01, 5.0271132039519d-01, 1.4116480450826d-01,
-     |  -6.8619589097645d-01, 8.0097034583949d-01,-4.2211403081036d-01,
-     |  -2.1142769169892d-01, 7.0810675599321d-01,-7.6433742816582d-01,
-     |   3.4898164106028d-01, 2.7973010622877d-01,-7.3386268357592d-01,
-     |   7.3386268357592d-01,-2.7973010622877d-01,-3.4898164106028d-01,
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-     |  -1.4116480450825d-01,-5.0271132039519d-01, 8.4610091008160d-01,
-     |  -6.6765843103380d-01, 6.5381510807510d-02, 5.9593938948260d-01,
-     |  -9.0366497585009d-01, 6.5234189376350d-01, 2.1269880291256d-02,
-     |  -7.1041116489789d-01, 9.8075932798314d-01,-6.4029799298783d-01,
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-      data (pmn(lat, 6,53), lat = 1,72)/
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-      data (pmn(lat, 7,53), lat = 1,72)/
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-      data (pmn(lat, 8,53), lat = 1,72)/
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-      data (pmn(lat,10,53), lat = 1,72)/
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-      data (pmn(lat,11,53), lat = 1,72)/
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-      data (pmn(lat,12,53), lat = 1,72)/
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-      data (pmn(lat,13,53), lat = 1,72)/
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-      data (pmn(lat,14,53), lat = 1,72)/
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-      data (pmn(lat,15,53), lat = 1,72)/
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-      data (pmn(lat,16,53), lat = 1,72)/
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-      data (pmn(lat,17,53), lat = 1,72)/
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-      data (pmn(lat,18,53), lat = 1,72)/
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-      data (pmn(lat,19,53), lat = 1,72)/
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-      data (pmn(lat,20,53), lat = 1,72)/
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-      data (pmn(lat,21,53), lat = 1,72)/
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-      data (pmn(lat,22,53), lat = 1,72)/
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-      data (pmn(lat,23,53), lat = 1,72)/
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-      data (pmn(lat,24,53), lat = 1,72)/
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-      data (pmn(lat,25,53), lat = 1,72)/
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-      data (pmn(lat,26,53), lat = 1,72)/
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-      data (pmn(lat,27,53), lat = 1,72)/
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-      data (pmn(lat,28,53), lat = 1,72)/
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-     |  -4.7723998214632d-17,-3.4777395097116d-23,-1.6554188243612d-36/
-      data (pmn(lat,29,53), lat = 1,72)/
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-     |   5.5432790842659d-14, 5.8088041081986d-11, 1.2825087563049d-08,
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-     |   1.2825087563050d-08, 5.8088041081986d-11, 5.5432790842659d-14,
-     |   4.1084823499504d-18, 1.7838036091514d-24, 2.8205351967691d-38/
-      data (pmn(lat,30,53), lat = 1,72)/
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-     |   6.4265586474794d-15, 8.7788050231662d-12, 2.4116878919173d-09,
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-     |  -3.3681306760725d-19,-8.7164944271238d-26,-4.5791899414627d-40/
-      data (pmn(lat,31,53), lat = 1,72)/
-     |   7.0852356357140d-42, 4.0584937109007d-27, 2.6300266862358d-20,
-     |   7.0924617831712d-16, 1.2619083603687d-12, 4.3085907465057d-10,
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-     |   4.3085907465059d-10, 1.2619083603687d-12, 7.0924617831712d-16,
-     |   2.6300266862358d-20, 4.0584937109007d-27, 7.0852356357140d-42/
-      data (pmn(lat,32,53), lat = 1,72)/
-     |   1.0448160897032d-43, 1.8006730010776d-28, 1.9562714466763d-21,
-     |   7.4521366803117d-17, 1.7256720860896d-13, 7.3155636437833d-11,
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-     |  -7.3155636437838d-11,-1.7256720860896d-13,-7.4521366803117d-17,
-     |  -1.9562714466763d-21,-1.8006730010776d-28,-1.0448160897032d-43/
-      data (pmn(lat,33,53), lat = 1,72)/
-     |   1.4682204470916d-45, 7.6120951334098d-30, 1.3859950150222d-22,
-     |   7.4544768457658d-18, 2.2451493254463d-14, 1.1806495544335d-11,
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-     |   1.0939279642624d+00, 1.9373980580260d-01,-1.0233913926732d+00,
-     |  -9.2548859231859d-02, 9.8849252056955d-01,-1.5033101846960d-01,
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-     |  -7.4889035131752d-01,-3.4091968554453d-01, 8.9981947217881d-01,
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-     |   4.3754137786504d-06, 1.2769697550009d-07, 1.8969085605993d-09,
-     |   1.1806495544336d-11, 2.2451493254463d-14, 7.4544768457658d-18,
-     |   1.3859950150222d-22, 7.6120951334098d-30, 1.4682204470916d-45/
-      data (pmn(lat,34,53), lat = 1,72)/
-     |   1.9655582524929d-47, 3.0651804248235d-31, 9.3508862188706d-24,
-     |   7.0977367036737d-19, 2.7786239904949d-15, 1.8110649230584d-12,
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-     |   2.2638835074238d-02, 1.0658375122819d-01, 3.6147141777287d-01,
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-     |   3.7274207500357d-01,-9.9318634680387d-01,-9.4325736397866d-01,
-     |   5.2163719710616d-01, 1.0100554852277d+00,-3.5978323506735d-01,
-     |  -9.5907792942706d-01, 4.1108202598991d-01, 8.5468011493223d-01,
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-     |   8.9213494310301d-01,-3.8653861978781d-01,-7.1209750055150d-01,
-     |   7.1209750055150d-01, 3.8653861978781d-01,-8.9213494310301d-01,
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-     |  -1.1055991339548d-06,-2.7758384406446d-08,-3.4990428098599d-10,
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-     |  -9.3508862188706d-24,-3.0651804248235d-31,-1.9655582524929d-47/
-      data (pmn(lat,35,53), lat = 1,72)/
-     |   2.5056940736119d-49, 1.1751672766100d-32, 6.0051280004227d-25,
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-      data (pmn(lat,36,53), lat = 1,72)/
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-      data (pmn(lat,37,53), lat = 1,72)/
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-      data (pmn(lat,38,53), lat = 1,72)/
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-      data (pmn(lat,39,53), lat = 1,72)/
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-     |   6.1425923899455d-30, 1.5303373252142d-38, 3.9928429205129d-57/
-      data (pmn(lat,40,53), lat = 1,72)/
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-     |  -3.0410622990024d-31,-4.5277244629656d-40,-3.9299999458319d-59/
-      data (pmn(lat,41,53), lat = 1,72)/
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-     |   1.1924875806420d-26, 2.8874713566809d-22, 8.3090030379477d-19,
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-     |   1.4226442641074d-32, 1.2660189632976d-41, 3.6559884256304d-61/
-      data (pmn(lat,42,53), lat = 1,72)/
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-      data (pmn(lat,43,53), lat = 1,72)/
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-     |   2.7877304482945d-11, 1.2425834389716d-09, 3.5361306476594d-08,
-     |   6.8440068675378d-07, 9.4482554693007d-06, 9.6469070768307d-05,
-     |   7.4883864937984d-04, 4.5112632216577d-03, 2.1402778549113d-02,
-     |   8.0688079530282d-02, 2.4243003724719d-01, 5.7769861896852d-01,
-     |   1.0733404177462d+00, 1.4910153345220d+00, 1.3817700689002d+00,
-     |   4.8120206985714d-01,-7.4099656609486d-01,-1.1912357558442d+00,
-     |  -3.1519524311698d-01, 9.0740838669982d-01, 8.9312812163868d-01,
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-     |  -7.9467600718751d-01, 5.0731398966638d-01, 9.8993657339648d-01,
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-     |   1.3817700689002d+00, 1.4910153345220d+00, 1.0733404177462d+00,
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-     |   2.1402778549113d-02, 4.5112632216577d-03, 7.4883864937985d-04,
-     |   9.6469070768305d-05, 9.4482554693006d-06, 6.8440068675380d-07,
-     |   3.5361306476594d-08, 1.2425834389716d-09, 2.7877304482946d-11,
-     |   3.6659465579318d-13, 2.5095613991985d-15, 7.5394536069893d-18,
-     |   7.6830636333462d-21, 1.7542756444074d-24, 4.3187311688659d-29,
-     |   2.6001884430776d-35, 8.2702358948522d-45, 2.6441176539956d-65/
-      data (pmn(lat,44,53), lat = 1,72)/
-     |   2.0420355139743d-67, 1.9193685822015d-46, 1.0091922904201d-36,
-     |   2.3587906567037d-30, 1.2404748668092d-25, 6.6987126786163d-22,
-     |   7.8524415233647d-19, 3.0546038145408d-16, 5.1332263636497d-14,
-     |   4.4388133914386d-12, 2.2306011476937d-10, 7.1115961629890d-09,
-     |   1.5351649722009d-07, 2.3569573155690d-06, 2.6725268073370d-05,
-     |   2.3038596135689d-04, 1.5437159329433d-03, 8.1732145725270d-03,
-     |   3.4581927665036d-02, 1.1766481713333d-01, 3.2208756751935d-01,
-     |   7.0401825137269d-01, 1.2035378190338d+00, 1.5313057734896d+00,
-     |   1.2584857489456d+00, 2.4940517442358d-01,-8.9945511253377d-01,
-     |  -1.1502052550946d+00,-1.6478463517799d-01, 9.7794779582103d-01,
-     |   8.5050640245927d-01,-4.0989461980220d-01,-1.0718704979460d+00,
-     |  -1.7721648066983d-01, 9.6899532255872d-01, 6.5222371618379d-01,
-     |  -6.5222371618378d-01,-9.6899532255872d-01, 1.7721648066983d-01,
-     |   1.0718704979460d+00, 4.0989461980220d-01,-8.5050640245928d-01,
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-     |   8.9945511253377d-01,-2.4940517442357d-01,-1.2584857489456d+00,
-     |  -1.5313057734896d+00,-1.2035378190338d+00,-7.0401825137269d-01,
-     |  -3.2208756751935d-01,-1.1766481713333d-01,-3.4581927665036d-02,
-     |  -8.1732145725270d-03,-1.5437159329434d-03,-2.3038596135689d-04,
-     |  -2.6725268073369d-05,-2.3569573155690d-06,-1.5351649722010d-07,
-     |  -7.1115961629890d-09,-2.2306011476937d-10,-4.4388133914388d-12,
-     |  -5.1332263636499d-14,-3.0546038145408d-16,-7.8524415233647d-19,
-     |  -6.6987126786169d-22,-1.2404748668092d-25,-2.3587906567037d-30,
-     |  -1.0091922904201d-36,-1.9193685822015d-46,-2.0420355139743d-67/
-      data (pmn(lat,45,53), lat = 1,72)/
-     |   1.4703852747494d-69, 4.1529634104786d-48, 3.6513165648855d-38,
-     |   1.2007385577098d-31, 8.1732276774620d-27, 5.4402781003802d-23,
-     |   7.6148938868345d-20, 3.4600884640774d-17, 6.6850435077374d-15,
-     |   6.5685900727418d-13, 3.7181070255460d-11, 1.3266145341861d-09,
-     |   3.1898907593660d-08, 5.4380265800174d-07, 6.8343731439031d-06,
-     |   6.5268958121499d-05, 4.8491777162368d-04, 2.8535182063998d-03,
-     |   1.3476226146705d-02, 5.1525039803779d-02, 1.6013974522969d-01,
-     |   4.0396896309051d-01, 8.1924308253530d-01, 1.3043191120835d+00,
-     |   1.5411827357626d+00, 1.1415260058845d+00, 7.6538964473129d-02,
-     |  -9.9482690433098d-01,-1.1173471062742d+00,-9.2000919332054d-02,
-     |   1.0038532097584d+00, 8.6793848081493d-01,-3.6036164495428d-01,
-     |  -1.0956564065336d+00,-3.4382929967238d-01, 8.7554708944091d-01,
-     |   8.7554708944092d-01,-3.4382929967238d-01,-1.0956564065336d+00,
-     |  -3.6036164495429d-01, 8.6793848081492d-01, 1.0038532097584d+00,
-     |  -9.2000919332050d-02,-1.1173471062742d+00,-9.9482690433098d-01,
-     |   7.6538964473126d-02, 1.1415260058845d+00, 1.5411827357626d+00,
-     |   1.3043191120835d+00, 8.1924308253530d-01, 4.0396896309051d-01,
-     |   1.6013974522969d-01, 5.1525039803779d-02, 1.3476226146705d-02,
-     |   2.8535182063998d-03, 4.8491777162368d-04, 6.5268958121500d-05,
-     |   6.8343731439030d-06, 5.4380265800173d-07, 3.1898907593661d-08,
-     |   1.3266145341861d-09, 3.7181070255460d-11, 6.5685900727420d-13,
-     |   6.6850435077377d-15, 3.4600884640775d-17, 7.6148938868345d-20,
-     |   5.4402781003807d-23, 8.1732276774620d-27, 1.2007385577098d-31,
-     |   3.6513165648855d-38, 4.1529634104786d-48, 1.4703852747494d-69/
-      data (pmn(lat,46,53), lat = 1,72)/
-     |   9.8147431204454d-72, 8.3293926899633d-50, 1.2244221798695d-39,
-     |   5.6641961459043d-33, 4.9891548784518d-28, 4.0920944012676d-24,
-     |   6.8367821517438d-21, 3.6269788171393d-18, 8.0518895160800d-16,
-     |   8.9838394224031d-14, 5.7233822021401d-12, 2.2831233114759d-10,
-     |   6.1079230124168d-09, 1.1545444963946d-07, 1.6054664291765d-06,
-     |   1.6949289946971d-05, 1.3924930290848d-04, 9.0759799877943d-04,
-     |   4.7625610051840d-03, 2.0335633685792d-02, 7.1130982893788d-02,
-     |   2.0431492033788d-01, 4.8051233575732d-01, 9.1519117828289d-01,
-     |   1.3759207536564d+00, 1.5370881102983d+00, 1.0568881685195d+00,
-     |  -2.3405137353900d-02,-1.0390723182282d+00,-1.1177755306577d+00,
-     |  -1.1196707805181d-01, 9.8467397401760d-01, 9.5375635800173d-01,
-     |  -1.9672702820303d-01,-1.0946404010455d+00,-6.2718855998786d-01,
-     |   6.2718855998785d-01, 1.0946404010455d+00, 1.9672702820303d-01,
-     |  -9.5375635800173d-01,-9.8467397401760d-01, 1.1196707805181d-01,
-     |   1.1177755306577d+00, 1.0390723182282d+00, 2.3405137353904d-02,
-     |  -1.0568881685195d+00,-1.5370881102983d+00,-1.3759207536564d+00,
-     |  -9.1519117828290d-01,-4.8051233575732d-01,-2.0431492033788d-01,
-     |  -7.1130982893790d-02,-2.0335633685792d-02,-4.7625610051841d-03,
-     |  -9.0759799877944d-04,-1.3924930290849d-04,-1.6949289946971d-05,
-     |  -1.6054664291765d-06,-1.1545444963946d-07,-6.1079230124170d-09,
-     |  -2.2831233114759d-10,-5.7233822021401d-12,-8.9838394224034d-14,
-     |  -8.0518895160804d-16,-3.6269788171393d-18,-6.8367821517438d-21,
-     |  -4.0920944012680d-24,-4.9891548784518d-28,-5.6641961459043d-33,
-     |  -1.2244221798695d-39,-8.3293926899633d-50,-9.8147431204454d-72/
-      data (pmn(lat,47,53), lat = 1,72)/
-     |   6.0279588835187d-74, 1.5370543473644d-51, 3.7773505170069d-41,
-     |   2.4577174654843d-34, 2.8007084432189d-29, 2.8297858270595d-25,
-     |   5.6411580918888d-22, 3.4925492478153d-19, 8.9043714204697d-17,
-     |   1.1274336637816d-14, 8.0778813872067d-13, 3.5994802313892d-11,
-     |   1.0702200964924d-09, 2.2401869816832d-08, 3.4413834021582d-07,
-     |   4.0086700208716d-06, 3.6332851016748d-05, 2.6151699521061d-04,
-     |   1.5189684861916d-03, 7.2067650615500d-03, 2.8174372578095d-02,
-     |   9.1233678557526d-02, 2.4502375401220d-01, 5.4372296069632d-01,
-     |   9.8550543193709d-01, 1.4215751784863d+00, 1.5356643482787d+00,
-     |   1.0265344553134d+00,-3.7988351984179d-02,-1.0350419288767d+00,
-     |  -1.1630558388686d+00,-2.4214224028885d-01, 8.9376551617553d-01,
-     |   1.0905164776798d+00, 1.1624426375790d-01,-9.7889499191179d-01,
-     |  -9.7889499191179d-01, 1.1624426375789d-01, 1.0905164776798d+00,
-     |   8.9376551617553d-01,-2.4214224028884d-01,-1.1630558388686d+00,
-     |  -1.0350419288767d+00,-3.7988351984189d-02, 1.0265344553134d+00,
-     |   1.5356643482787d+00, 1.4215751784863d+00, 9.8550543193710d-01,
-     |   5.4372296069632d-01, 2.4502375401220d-01, 9.1233678557526d-02,
-     |   2.8174372578095d-02, 7.2067650615500d-03, 1.5189684861916d-03,
-     |   2.6151699521062d-04, 3.6332851016749d-05, 4.0086700208717d-06,
-     |   3.4413834021581d-07, 2.2401869816832d-08, 1.0702200964925d-09,
-     |   3.5994802313892d-11, 8.0778813872067d-13, 1.1274336637817d-14,
-     |   8.9043714204700d-17, 3.4925492478154d-19, 5.6411580918888d-22,
-     |   2.8297858270597d-25, 2.8007084432189d-29, 2.4577174654843d-34,
-     |   3.7773505170069d-41, 1.5370543473644d-51, 6.0279588835187d-74/
-      data (pmn(lat,48,53), lat = 1,72)/
-     |   3.3728953064036d-76, 2.5839544493445d-53, 1.0614993510261d-42,
-     |   9.7126073420364d-36, 1.4316235011667d-30, 1.7814162021357d-26,
-     |   4.2358859951626d-23, 3.0593103508590d-20, 8.9532472881963d-18,
-     |   1.2856991653067d-15, 1.0352886309020d-13, 5.1488845057323d-12,
-     |   1.6997766105087d-10, 3.9354211229988d-09, 6.6694602721275d-08,
-     |   8.5573459312003d-07, 8.5387636215914d-06, 6.7698172373020d-05,
-     |   4.3382514183137d-04, 2.2774873182530d-03, 9.8959636772518d-03,
-     |   3.5848851667111d-02, 1.0872475351205d-01, 2.7625554995995d-01,
-     |   5.8574147509184d-01, 1.0249206712556d+00, 1.4442811025540d+00,
-     |   1.5494859138254d+00, 1.0675158935768d+00, 4.9354497222197d-02,
-     |  -9.6639607471151d-01,-1.2422090078725d+00,-4.9977668868280d-01,
-     |   6.6748080571373d-01, 1.2055722685780d+00, 5.9251779742843d-01,
-     |  -5.9251779742843d-01,-1.2055722685780d+00,-6.6748080571373d-01,
-     |   4.9977668868280d-01, 1.2422090078725d+00, 9.6639607471151d-01,
-     |  -4.9354497222193d-02,-1.0675158935767d+00,-1.5494859138254d+00,
-     |  -1.4442811025540d+00,-1.0249206712556d+00,-5.8574147509185d-01,
-     |  -2.7625554995995d-01,-1.0872475351205d-01,-3.5848851667111d-02,
-     |  -9.8959636772521d-03,-2.2774873182530d-03,-4.3382514183137d-04,
-     |  -6.7698172373021d-05,-8.5387636215915d-06,-8.5573459312005d-07,
-     |  -6.6694602721274d-08,-3.9354211229988d-09,-1.6997766105087d-10,
-     |  -5.1488845057323d-12,-1.0352886309020d-13,-1.2856991653068d-15,
-     |  -8.9532472881966d-18,-3.0593103508591d-20,-4.2358859951626d-23,
-     |  -1.7814162021359d-26,-1.4316235011667d-30,-9.7126073420364d-36,
-     |  -1.0614993510261d-42,-2.5839544493445d-53,-3.3728953064036d-76/
-      data (pmn(lat,49,53), lat = 1,72)/
-     |   1.6960039436738d-78, 3.9034776897872d-55, 2.6802952009411d-44,
-     |   3.4483239833152d-37, 6.5731493297642d-32, 1.0070528303178d-27,
-     |   2.8553557141700d-24, 2.4048073094595d-21, 8.0748908807385d-19,
-     |   1.3144139541217d-16, 1.1887549487379d-14, 6.5936411111917d-13,
-     |   2.4146885825465d-11, 6.1771468157442d-10, 1.1534229781694d-08,
-     |   1.6276398163657d-07, 1.7847252637267d-06, 1.5550872824903d-05,
-     |   1.0963842792561d-04, 6.3461595244965d-04, 3.0507319445709d-03,
-     |   1.2287866394849d-02, 4.1730142840975d-02, 1.1992065422989d-01,
-     |   2.9177597015000d-01, 5.9897422878371d-01, 1.0275055056629d+00,
-     |   1.4424760433829d+00, 1.5818389110771d+00, 1.1894121013682d+00,
-     |   2.6255668460903d-01,-7.8642064720183d-01,-1.3012557738555d+00,
-     |  -8.7798167780650d-01, 2.0918558946311d-01, 1.1220159256796d+00,
-     |   1.1220159256796d+00, 2.0918558946311d-01,-8.7798167780650d-01,
-     |  -1.3012557738555d+00,-7.8642064720183d-01, 2.6255668460903d-01,
-     |   1.1894121013682d+00, 1.5818389110771d+00, 1.4424760433829d+00,
-     |   1.0275055056629d+00, 5.9897422878371d-01, 2.9177597015001d-01,
-     |   1.1992065422989d-01, 4.1730142840975d-02, 1.2287866394849d-02,
-     |   3.0507319445709d-03, 6.3461595244965d-04, 1.0963842792561d-04,
-     |   1.5550872824903d-05, 1.7847252637267d-06, 1.6276398163657d-07,
-     |   1.1534229781693d-08, 6.1771468157442d-10, 2.4146885825465d-11,
-     |   6.5936411111917d-13, 1.1887549487379d-14, 1.3144139541217d-16,
-     |   8.0748908807389d-19, 2.4048073094595d-21, 2.8553557141700d-24,
-     |   1.0070528303178d-27, 6.5731493297642d-32, 3.4483239833152d-37,
-     |   2.6802952009411d-44, 3.9034776897872d-55, 1.6960039436738d-78/
-      data (pmn(lat,50,53), lat = 1,72)/
-     |   7.5116973550989d-81, 5.1938185029867d-57, 5.9603998512543d-46,
-     |   1.0780819972245d-38, 2.6571142738337d-33, 5.0110550391046d-29,
-     |   1.6937127294760d-25, 1.6628271718574d-22, 6.4035253455838d-20,
-     |   1.1809552006578d-17, 1.1988765232239d-15, 7.4111518402632d-14,
-     |   3.0083044735790d-12, 8.4948319173903d-11, 1.7456514649795d-09,
-     |   2.7055387074513d-08, 3.2546914369726d-07, 3.1104912462200d-06,
-     |   2.4068301318552d-05, 1.5313661127506d-04, 8.1131309134197d-04,
-     |   3.6153166380228d-03, 1.3656761681241d-02, 4.3979973415300d-02,
-     |   1.2116226573407d-01, 2.8581494384530d-01, 5.7595641052152d-01,
-     |   9.8437401563651d-01, 1.4048021055453d+00, 1.6189086038930d+00,
-     |   1.3853987253605d+00, 6.2681758578868d-01,-4.1093799961156d-01,
-     |  -1.2068802137850d+00,-1.2751147048356d+00,-5.4102722666878d-01,
-     |   5.4102722666877d-01, 1.2751147048356d+00, 1.2068802137850d+00,
-     |   4.1093799961156d-01,-6.2681758578868d-01,-1.3853987253605d+00,
-     |  -1.6189086038930d+00,-1.4048021055453d+00,-9.8437401563651d-01,
-     |  -5.7595641052152d-01,-2.8581494384530d-01,-1.2116226573407d-01,
-     |  -4.3979973415300d-02,-1.3656761681241d-02,-3.6153166380228d-03,
-     |  -8.1131309134199d-04,-1.5313661127506d-04,-2.4068301318552d-05,
-     |  -3.1104912462200d-06,-3.2546914369726d-07,-2.7055387074514d-08,
-     |  -1.7456514649795d-09,-8.4948319173902d-11,-3.0083044735791d-12,
-     |  -7.4111518402632d-14,-1.1988765232239d-15,-1.1809552006578d-17,
-     |  -6.4035253455841d-20,-1.6628271718574d-22,-1.6937127294760d-25,
-     |  -5.0110550391050d-29,-2.6571142738337d-33,-1.0780819972245d-38,
-     |  -5.9603998512543d-46,-5.1938185029867d-57,-7.5116973550989d-81/
-      data (pmn(lat,51,53), lat = 1,72)/
-     |   2.8384130300908d-83, 5.8956299202591d-59, 1.1306818510531d-47,
-     |   2.8748344763309d-40, 9.1598755859791d-35, 2.1259492824429d-30,
-     |   8.5634242071525d-27, 9.7971196244179d-24, 4.3252823597802d-21,
-     |   9.0332593912269d-19, 1.0287915788193d-16, 7.0833139733968d-15,
-     |   3.1845191727998d-13, 9.9173743585123d-12, 2.2405072930681d-10,
-     |   3.8091703680101d-09, 5.0198179032489d-08, 5.2525824891623d-07,
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-      data (pmn(lat,52,53), lat = 1,72)/
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-      data (pmn(lat,53,53), lat = 1,72)/
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-      data (pmn(lat, 0,54), lat = 1,72)/
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-      data (pmn(lat, 1,54), lat = 1,72)/
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-      data (pmn(lat, 2,54), lat = 1,72)/
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-      data (pmn(lat, 3,54), lat = 1,72)/
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-      data (pmn(lat, 4,54), lat = 1,72)/
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-      data (pmn(lat, 5,54), lat = 1,72)/
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-      data (pmn(lat, 6,54), lat = 1,72)/
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-      data (pmn(lat, 7,54), lat = 1,72)/
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-      data (pmn(lat, 8,54), lat = 1,72)/
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-      data (pmn(lat, 9,54), lat = 1,72)/
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-      data (pmn(lat,10,54), lat = 1,72)/
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-      data (pmn(lat,11,54), lat = 1,72)/
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-      data (pmn(lat,12,54), lat = 1,72)/
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-     |   3.3521287806649d-03, 1.1355049717403d-05, 2.6511678918233d-11/
-      data (pmn(lat,13,54), lat = 1,72)/
-     |   1.1824317065882d-12, 1.5442475716768d-06, 7.8669596152085d-04,
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-      data (pmn(lat,14,54), lat = 1,72)/
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-      data (pmn(lat,15,54), lat = 1,72)/
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-      data (pmn(lat,16,54), lat = 1,72)/
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-     |   6.2109831857337d-06, 2.4344575482523d-09, 6.6509163193105d-17/
-      data (pmn(lat,17,54), lat = 1,72)/
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-      data (pmn(lat,18,54), lat = 1,72)/
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-      data (pmn(lat,19,54), lat = 1,72)/
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-      data (pmn(lat,20,54), lat = 1,72)/
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-     |   3.6778041220890d-09, 1.7436333535601d-13, 5.6878430487424d-23/
-      data (pmn(lat,21,54), lat = 1,72)/
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-      data (pmn(lat,22,54), lat = 1,72)/
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-     |   6.2301761019037d-11, 1.0365417690812d-15, 3.7104354592006d-26/
-      data (pmn(lat,23,54), lat = 1,72)/
-     |   8.7411847448522d-28, 7.3660635420024d-17, 7.4620793879861d-12,
-     |   1.2211729091951d-08, 2.4988751486390d-06, 1.4035849940660d-04,
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-     |   6.1997485561637d-01, 3.6983677469146d-01,-9.2191835657335d-01,
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-     |  -7.4620793879861d-12,-7.3660635420024d-17,-8.7411847448522d-28/
-      data (pmn(lat,24,54), lat = 1,72)/
-     |   1.9548697480714d-29, 4.9671262904812d-18, 8.4735032516618d-13,
-     |   1.9726677778703d-09, 5.3072777747019d-07, 3.7536817551161d-05,
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-     |  -1.0250858290185d+00, 6.2986093806133d-01, 8.7513515396585d-01,
-     |  -9.2986160318477d-01,-9.7093459209037d-01, 8.3213943652578d-01,
-     |   1.7313289848224d+00, 1.2062695255993d+00, 4.6152128906007d-01,
-     |   1.0500442095802d-01, 1.4066115440166d-02, 1.0405391399379d-03,
-     |   3.7536817551162d-05, 5.3072777747019d-07, 1.9726677778703d-09,
-     |   8.4735032516618d-13, 4.9671262904812d-18, 1.9548697480714d-29/
-      data (pmn(lat,25,54), lat = 1,72)/
-     |   4.1549222603619d-31, 3.1820908370641d-19, 9.1342181752131d-14,
-     |   3.0213663446806d-10, 1.0668159499149d-07, 9.4765504973296d-06,
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-     |  -7.1321838598715d-01,-5.8424341593708d-02, 7.6202068627771d-01,
-     |  -7.1624469007548d-01,-2.3434834681595d-02, 7.3705521079602d-01,
-     |  -7.3705521079602d-01, 2.3434834681590d-02, 7.1624469007548d-01,
-     |  -7.6202068627770d-01, 5.8424341593703d-02, 7.1321838598714d-01,
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-     |  -7.2477914383537d-01,-2.5037155173363d-01, 9.7060850063000d-01,
-     |  -4.8606252210033d-01,-6.9038337899889d-01, 9.6608472466393d-01,
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-     |  -9.4765504973300d-06,-1.0668159499149d-07,-3.0213663446806d-10,
-     |  -9.1342181752131d-14,-3.1820908370641d-19,-4.1549222603619d-31/
-      data (pmn(lat,26,54), lat = 1,72)/
-     |   8.4009218172774d-33, 1.9386389117106d-20, 9.3575576074284d-15,
-     |   4.3930541266239d-11, 2.0325326877595d-08, 2.2626089417491d-06,
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-     |  -2.5730209419705d-01,-7.8355392377703d-01, 8.0526896803295d-01,
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-     |   3.1393684834867d-01,-8.7598345466031d-01, 4.9846344721386d-01,
-     |   3.9040606558720d-01,-8.6127580234884d-01, 4.4599597372763d-01,
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-     |   4.2718013028171d-01,-8.5221914793469d-01, 4.1699825247244d-01,
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-     |   1.9739202933950d-02, 1.8394472672547d-03, 9.3716926437927d-05,
-     |   2.2626089417492d-06, 2.0325326877595d-08, 4.3930541266239d-11,
-     |   9.3575576074284d-15, 1.9386389117106d-20, 8.4009218172774d-33/
-      data (pmn(lat,27,54), lat = 1,72)/
-     |   1.6171952693231d-34, 1.1241548056596d-21, 9.1187800472929d-16,
-     |   6.0701234102974d-12, 3.6749590382336d-09, 5.1167782072595d-07,
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-     |   5.8650973285334d-02, 2.7842217268187d-01, 8.3945800894227d-01,
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-     |  -1.2701817823672d+00,-2.5707384759622d-01, 1.1320589900139d+00,
-     |   4.2836223665755d-02,-1.0483540140940d+00, 3.9643679705520d-01,
-     |   7.7567313358910d-01,-8.2489273314045d-01,-1.9948603213576d-01,
-     |   9.2457016100202d-01,-4.9923425456754d-01,-4.9714911207098d-01,
-     |   8.8893992796488d-01,-2.6949008761760d-01,-6.3181976379362d-01,
-     |   8.2565914837627d-01,-1.2797180589794d-01,-6.9575319440527d-01,
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-     |   7.3527912444747d-01, 3.7288575949157d-02,-7.7427464828651d-01,
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-     |  -9.1187800472929d-16,-1.1241548056596d-21,-1.6171952693231d-34/
-      data (pmn(lat,28,54), lat = 1,72)/
-     |   2.9659032420199d-36, 6.2087030302855d-23, 8.4590706158892d-17,
-     |   7.9775691517032d-13, 6.3121620200486d-10, 1.0973845983808d-07,
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-     |   2.5459627831279d-02, 1.4340655905098d-01, 5.2207533950122d-01,
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-     |   9.1313682170455d-01, 1.6050166656698d-01,-9.5395300811360d-01,
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-     |   7.8984533729210d-02, 7.8161639903452d-01,-7.1585314878940d-01,
-     |  -1.6327249434427d-01, 8.4250256211985d-01,-5.7429891084142d-01,
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-     |  -4.5077079079026d-01, 8.5974460099732d-01,-3.2473684952052d-01,
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-     |  -9.5395300811360d-01, 1.6050166656698d-01, 9.1313682170455d-01,
-     |  -6.6048521496655d-01,-6.8507101033860d-01, 9.5169866869269d-01,
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-     |   2.8446550163337d-03, 1.8857355013573d-04, 6.7186445351907d-06,
-     |   1.0973845983809d-07, 6.3121620200486d-10, 7.9775691517032d-13,
-     |   8.4590706158892d-17, 6.2087030302855d-23, 2.9659032420199d-36/
-      data (pmn(lat,29,54), lat = 1,72)/
-     |   5.1848455612774d-38, 3.2678189463539d-24, 7.4744805389415d-18,
-     |   9.9789687882683d-14, 1.0307974108320d-10, 2.2343019210739d-08,
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-     |   1.0344041903118d-02, 6.8543561610618d-02, 2.9688195694710d-01,
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-     |   7.8754168599495d-02,-1.2237898737319d+00,-4.5348977568460d-01,
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-      data (pmn(lat,30,54), lat = 1,72)/
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-     |   6.2937218008236d-19, 1.6397298657853d-25, 8.6429887388214d-40/
-      data (pmn(lat,31,54), lat = 1,72)/
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-     |  -5.0516639691205d-20,-7.8461739724987d-27,-1.3741898663652d-41/
-      data (pmn(lat,32,54), lat = 1,72)/
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-     |   1.4586096644527d-16, 3.3342779463677d-13, 1.3903375908212d-10,
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-     |   3.8657251820628d-21, 3.5807022625440d-28, 2.0841545730385d-43/
-      data (pmn(lat,33,54), lat = 1,72)/
-     |   3.0150770429045d-45, 1.5584568290759d-29, 2.8203480753890d-22,
-     |   1.5029412271260d-17, 4.4702718001036d-14, 2.3135419021466d-11,
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-     |  -2.8203480753890d-22,-1.5584568290759d-29,-3.0150770429045d-45/
-      data (pmn(lat,34,54), lat = 1,72)/
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-     |   1.4755718882642d-18, 5.7069147007960d-15, 3.6626535546176d-12,
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-     |   1.9615069263402d-23, 6.4679326902194d-31, 4.1598159757437d-47/
-      data (pmn(lat,35,54), lat = 1,72)/
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-     |   1.3800132926616d-19, 6.9361468788654d-16, 5.5160052048459d-13,
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-     |  -1.3000620990494d-24,-2.5588282902456d-32,-5.4715773412454d-49/
-      data (pmn(lat,36,54), lat = 1,72)/
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-     |   1.2289233178130d-20, 8.0227054564339d-17, 7.9000644389842d-14,
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-     |   8.2077511864507d-26, 9.6451887293596d-34, 6.8580077981375d-51/
-      data (pmn(lat,37,54), lat = 1,72)/
-     |   8.1853453617343d-53, 3.4616651364063d-35, 4.9327553985188d-27,
-     |   1.0414012198715d-21, 8.8259578400055d-18, 1.0754579489322d-14,
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-      data (pmn(lat,38,54), lat = 1,72)/
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-     |   2.8196304091708d-28, 1.1819204364189d-36, 9.2950128190631d-55/
-      data (pmn(lat,39,54), lat = 1,72)/
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-     |   6.4215022416800d-24, 9.1601721489337d-20, 1.7061870530540d-16,
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-     |  -1.5313177600584d-29,-3.8348346071472d-38,-1.0031361405732d-56/
-      data (pmn(lat,40,54), lat = 1,72)/
-     |   1.0274901464426d-58, 1.1807944687436d-39, 7.8909507750418d-31,
-     |   4.6616145195689d-25, 8.6220072435913d-21, 1.9839971065263d-17,
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-     |  -6.6917557259779d-01, 7.2935610787446d-01, 6.1462342113714d-01,
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-     |   3.5269981412707d-01, 1.1587428221057d-01, 2.9018463564078d-02,
-     |   5.5253500159092d-03, 7.9037336128868d-04, 8.3195703924118d-05,
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-     |   1.9839971065264d-17, 8.6220072435913d-21, 4.6616145195689d-25,
-     |   7.8909507750418d-31, 1.1807944687436d-39, 1.0274901464426d-58/
-      data (pmn(lat,41,54), lat = 1,72)/
-     |   9.9720258094988d-61, 3.4447210898912d-41, 3.8518796656584d-32,
-     |   3.2048210320423d-26, 7.6829312449491d-22, 2.1830735254251d-18,
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-     |  -3.8518796656584d-32,-3.4447210898912d-41,-9.9720258094988d-61/
-      data (pmn(lat,42,54), lat = 1,72)/
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-     |   2.0824689020864d-27, 6.4685988921646d-23, 2.2686874706655d-19,
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-     |   2.2686874706657d-19, 6.4685988921646d-23, 2.0824689020864d-27,
-     |   1.7775713891948d-33, 9.5019417064503d-43, 9.1516839329607d-63/
-      data (pmn(lat,43,54), lat = 1,72)/
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-     |   1.2758777621941d-28, 5.1335392522191d-24, 2.2214281964348d-20,
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-     |   1.3558655827040d+00, 1.5197333642430d+00, 8.8862565116870d-01,
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-     |  -7.7363049164650d-35,-2.4722122948429d-44,-7.9225465368887d-65/
-      data (pmn(lat,44,54), lat = 1,72)/
-     |   6.4502069267026d-67, 6.0488837416236d-46, 3.1659023065716d-36,
-     |   7.3486442169359d-30, 3.8288467865356d-25, 2.0434995537481d-21,
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-     |   3.9883267432203d-07, 5.9027390947990d-06, 6.4227962341581d-05,
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-     |  -4.2938620247000d-01, 8.4573199288276d-01, 9.4922729385234d-01,
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-     |   2.0434995537483d-21, 3.8288467865356d-25, 7.3486442169359d-30,
-     |   3.1659023065716d-36, 6.0488837416236d-46, 6.4502069267026d-67/
-      data (pmn(lat,45,54), lat = 1,72)/
-     |   4.9207069703109d-69, 1.3867003678838d-47, 1.2137368999849d-37,
-     |   3.9644660146540d-31, 2.6741368454947d-26, 1.7596760685574d-22,
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-     |   1.9781758766363d-12, 1.0921848214269d-10, 3.7888809453137d-09,
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-      data (pmn(lat,46,54), lat = 1,72)/
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-     |   4.3394047811686d-39, 2.9649669143926d-49, 3.5013581982236d-71/
-      data (pmn(lat,47,54), lat = 1,72)/
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-     |  -1.4384852607478d-40,-5.8786113186856d-51,-2.3103991802784d-73/
-      data (pmn(lat,48,54), lat = 1,72)/
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-     |   3.9899892036465d-35, 5.8313556031276d-30, 7.1787903019195d-26,
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-     |   7.1787903019201d-26, 5.8313556031276d-30, 3.9899892036465d-35,
-     |   4.3884441136027d-42, 1.0727650177079d-52, 1.4032490897315d-75/
-      data (pmn(lat,49,54), lat = 1,72)/
-     |   7.7673020540944d-78, 1.7840259724359d-54, 1.2199446072662d-43,
-     |   1.5597925099184d-36, 2.9485852930068d-31, 4.4702939812804d-27,
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-     |  -1.2199446072662d-43,-1.7840259724359d-54,-7.7673020540944d-78/
-      data (pmn(lat,50,54), lat = 1,72)/
-     |   3.8648858523398d-80, 2.6669143414054d-56, 3.0481838584420d-45,
-     |   5.4799021922210d-38, 1.3396338786338d-32, 2.5005928593868d-28,
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-     |   3.0481838584420d-45, 2.6669143414054d-56, 3.8648858523398d-80/
-      data (pmn(lat,51,54), lat = 1,72)/
-     |   1.6944300117183d-82, 3.5125204380721d-58, 6.7097541286075d-47,
-     |   1.6958448178969d-39, 5.3602888830022d-34, 1.2316287545814d-29,
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-     |   1.6140735097169d-12, 4.8813211456516d-11, 1.0676752486088d-09,
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-     |  -6.7097541286075d-47,-3.5125204380721d-58,-1.6944300117183d-82/
-      data (pmn(lat,52,54), lat = 1,72)/
-     |   6.3396336354589d-85, 3.9478867279267d-60, 1.2602964865459d-48,
-     |   4.4776103569611d-41, 1.8296331571950d-35, 5.1736450345811d-31,
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-     |   3.7250091742772d-19, 4.6589499356750d-17, 3.4884364379377d-15,
-     |   1.6915551690383d-13, 5.6416560592845d-12, 1.3565615655541d-10,
-     |   2.4413964229833d-09, 3.3892052021320d-08, 3.7194755542458d-07,
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-     |   7.3272023391920d-04, 3.1574403202723d-03, 1.1633598530738d-02,
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-     |   1.3565615655540d-10, 5.6416560592844d-12, 1.6915551690383d-13,
-     |   3.4884364379377d-15, 4.6589499356750d-17, 3.7250091742773d-19,
-     |   1.6050766266946d-21, 3.2243509050471d-24, 2.4534798904888d-27,
-     |   5.1736450345816d-31, 1.8296331571950d-35, 4.4776103569611d-41,
-     |   1.2602964865459d-48, 3.9478867279267d-60, 6.3396336354589d-85/
-      data (pmn(lat,53,54), lat = 1,72)/
-     |   1.9090769069271d-87, 3.5711877951767d-62, 1.9050555705458d-50,
-     |   9.5131544982478d-43, 5.0244550709885d-37, 1.7481321092341d-32,
-     |   9.8771283582572d-29, 1.5121572200027d-25, 8.6264283532645d-23,
-     |   2.2661330466775d-20, 3.1780564500361d-18, 2.6487283871323d-16,
-     |   1.4215256691541d-14, 5.2243623099081d-13, 1.3797146626486d-11,
-     |   2.7206799905668d-10, 4.1318957274131d-09, 4.9567611971366d-08,
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-      data (pmn(lat,54,54), lat = 1,72)/
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-      data (pmn(lat, 0,55), lat = 1,72)/
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-      data (pmn(lat, 1,55), lat = 1,72)/
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-      data (pmn(lat, 2,55), lat = 1,72)/
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-      data (pmn(lat, 3,55), lat = 1,72)/
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-      data (pmn(lat, 4,55), lat = 1,72)/
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-      data (pmn(lat, 5,55), lat = 1,72)/
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-      data (pmn(lat, 6,55), lat = 1,72)/
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-      data (pmn(lat, 9,55), lat = 1,72)/
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-      data (pmn(lat,10,55), lat = 1,72)/
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-      data (pmn(lat,11,55), lat = 1,72)/
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-      data (pmn(lat,12,55), lat = 1,72)/
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-      data (pmn(lat,13,55), lat = 1,72)/
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-      data (pmn(lat,14,55), lat = 1,72)/
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-      data (pmn(lat,15,55), lat = 1,72)/
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-      data (pmn(lat,16,55), lat = 1,72)/
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-      data (pmn(lat,17,55), lat = 1,72)/
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-      data (pmn(lat,18,55), lat = 1,72)/
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-      data (pmn(lat,19,55), lat = 1,72)/
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-      data (pmn(lat,20,55), lat = 1,72)/
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-      data (pmn(lat,21,55), lat = 1,72)/
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-      data (pmn(lat,22,55), lat = 1,72)/
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-      data (pmn(lat,23,55), lat = 1,72)/
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-      data (pmn(lat,24,55), lat = 1,72)/
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-      data (pmn(lat,25,55), lat = 1,72)/
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-      data (pmn(lat,26,55), lat = 1,72)/
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-      data (pmn(lat,27,55), lat = 1,72)/
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-      data (pmn(lat,28,55), lat = 1,72)/
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-      data (pmn(lat,29,55), lat = 1,72)/
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-      data (pmn(lat,30,55), lat = 1,72)/
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-      data (pmn(lat,31,55), lat = 1,72)/
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-      data (pmn(lat,32,55), lat = 1,72)/
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-      data (pmn(lat,33,55), lat = 1,72)/
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-      data (pmn(lat,34,55), lat = 1,72)/
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-      data (pmn(lat,35,55), lat = 1,72)/
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-      data (pmn(lat,36,55), lat = 1,72)/
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-      data (pmn(lat,37,55), lat = 1,72)/
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-      data (pmn(lat,38,55), lat = 1,72)/
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-      data (pmn(lat,39,55), lat = 1,72)/
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-     |   3.7149101692895d-29, 9.3522841392818d-38, 2.4528439251561d-56/
-      data (pmn(lat,40,55), lat = 1,72)/
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-     |  -1.9879824662632d-30,-2.9901224142864d-39,-2.6085754889860d-58/
-      data (pmn(lat,41,55), lat = 1,72)/
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-     |   8.3394639303406d-26, 1.9789551644995d-21, 5.5510766861896d-18,
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-     |   1.0099388515670d-31, 9.0772440491756d-41, 2.6343159772927d-60/
-      data (pmn(lat,42,55), lat = 1,72)/
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-     |   5.6547567957596d-27, 1.7391159527512d-22, 6.0232906548754d-19,
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-     |  -4.8626363086458d-33,-2.6120613303362d-42,-2.5219195382739d-62/
-      data (pmn(lat,43,55), lat = 1,72)/
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-     |   3.6257992803466d-28, 1.4447658169306d-23, 6.1757185738339d-20,
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-     |   2.2144334822365d-34, 7.1103693562789d-44, 2.2840533428700d-64/
-      data (pmn(lat,44,55), lat = 1,72)/
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-     |   2.1930317605172d-29, 1.1318519885100d-24, 5.9689514401257d-21,
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-     |  -9.5147653582494d-36,-1.8264442942374d-45,-1.9521662629129d-66/
-      data (pmn(lat,45,55), lat = 1,72)/
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-     |   3.8456818022470d-37, 4.4138481715308d-47, 1.5698282923310d-68/
-      data (pmn(lat,46,55), lat = 1,72)/
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-      data (pmn(lat,47,55), lat = 1,72)/
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-      data (pmn(lat,48,55), lat = 1,72)/
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-      data (pmn(lat,49,55), lat = 1,72)/
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-      data (pmn(lat,50,55), lat = 1,72)/
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-      data (pmn(lat,51,55), lat = 1,72)/
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-      data (pmn(lat,52,55), lat = 1,72)/
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-      data (pmn(lat,53,55), lat = 1,72)/
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-      data (pmn(lat,54,55), lat = 1,72)/
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-      data (pmn(lat,55,55), lat = 1,72)/
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-      data (pmn(lat, 0,56), lat = 1,72)/
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-      data (pmn(lat, 1,56), lat = 1,72)/
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-      data (pmn(lat, 2,56), lat = 1,72)/
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-      data (pmn(lat, 3,56), lat = 1,72)/
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-      data (pmn(lat, 4,56), lat = 1,72)/
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-      data (pmn(lat, 5,56), lat = 1,72)/
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-      data (pmn(lat, 6,56), lat = 1,72)/
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-      data (pmn(lat, 7,56), lat = 1,72)/
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-      data (pmn(lat, 8,56), lat = 1,72)/
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-      data (pmn(lat, 9,56), lat = 1,72)/
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-      data (pmn(lat,10,56), lat = 1,72)/
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-      data (pmn(lat,11,56), lat = 1,72)/
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-      data (pmn(lat,12,56), lat = 1,72)/
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-      data (pmn(lat,13,56), lat = 1,72)/
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-      data (pmn(lat,14,56), lat = 1,72)/
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-      data (pmn(lat,15,56), lat = 1,72)/
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-      data (pmn(lat,16,56), lat = 1,72)/
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-      data (pmn(lat,17,56), lat = 1,72)/
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-      data (pmn(lat,18,56), lat = 1,72)/
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-      data (pmn(lat,19,56), lat = 1,72)/
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-      data (pmn(lat,20,56), lat = 1,72)/
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-      data (pmn(lat,21,56), lat = 1,72)/
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-      data (pmn(lat,22,56), lat = 1,72)/
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-     |   1.4254442116196d-10, 2.4165407757987d-15, 8.7306781415986d-26/
-      data (pmn(lat,23,56), lat = 1,72)/
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-      data (pmn(lat,24,56), lat = 1,72)/
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-     |   2.1201357031706d-12, 1.2643985611192d-17, 5.0186552695458d-29/
-      data (pmn(lat,25,56), lat = 1,72)/
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-     |   7.7163774620360d-10, 2.6314380548792d-07, 2.2339415531298d-05,
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-     |  -2.3926256447501d-13,-8.4741437385968d-19,-1.1155613132901d-30/
-      data (pmn(lat,26,56), lat = 1,72)/
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-     |   1.1767469777796d-10, 5.2660768670326d-08, 5.6140995140005d-06,
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-     |   2.5682289004765d-14, 5.4059621569694d-20, 2.3611176755670d-32/
-      data (pmn(lat,27,56), lat = 1,72)/
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-      data (pmn(lat,28,56), lat = 1,72)/
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-     |   2.5561085562164d-16, 1.9040214112785d-22, 9.1623102234705d-36/
-      data (pmn(lat,29,56), lat = 1,72)/
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-     |  -2.3737779502732d-17,-1.0527170001645d-23,-1.6821309393781d-37/
-      data (pmn(lat,30,56), lat = 1,72)/
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-     |   2.1033193127301d-18, 5.5559656407688d-25, 2.9486398527515d-39/
-      data (pmn(lat,31,56), lat = 1,72)/
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-      data (pmn(lat,32,56), lat = 1,72)/
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-     |   1.4365911013517d-20, 1.3479958732388d-27, 7.8965897201457d-43/
-      data (pmn(lat,33,56), lat = 1,72)/
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-     |   5.7925444092025d-17, 1.6790409700112d-13, 8.4081762378783d-11,
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-     |  -1.1078887142276d-21,-6.1992274353495d-29,-1.2068351591335d-44/
-      data (pmn(lat,34,56), lat = 1,72)/
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-     |   6.0258044927715d-18, 2.2730139229691d-14, 1.4130451126192d-11,
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-     |   1.4130451126193d-11, 2.2730139229691d-14, 6.0258044927715d-18,
-     |   8.1595039288921d-23, 2.7235158968215d-30, 1.7622499091616d-46/
-      data (pmn(lat,35,56), lat = 1,72)/
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-     |  -5.7384204106139d-24,-1.1429050392337d-31,-2.4583123817973d-48/
-      data (pmn(lat,36,56), lat = 1,72)/
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-      data (pmn(lat,37,56), lat = 1,72)/
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-      data (pmn(lat,38,56), lat = 1,72)/
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-      data (pmn(lat,39,56), lat = 1,72)/
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-      data (pmn(lat,40,56), lat = 1,72)/
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-      data (pmn(lat,41,56), lat = 1,72)/
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-      data (pmn(lat,42,56), lat = 1,72)/
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-      data (pmn(lat,43,56), lat = 1,72)/
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-      data (pmn(lat,44,56), lat = 1,72)/
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-      data (pmn(lat,45,56), lat = 1,72)/
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-      data (pmn(lat,46,56), lat = 1,72)/
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-     |   1.4355396224331d-22, 1.8112645556230d-26, 2.1129689275548d-31,
-     |   4.6609464857282d-38, 3.2135571525642d-48, 3.8120440491104d-70/
-      data (pmn(lat,47,56), lat = 1,72)/
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-     |  -1.7449815690889d-39,-7.1944865352864d-50,-2.8400527669337d-72/
-      data (pmn(lat,48,56), lat = 1,72)/
-     |   1.9750034323335d-74, 1.5033584567569d-51, 6.0968857157768d-41,
-     |   5.4714550344422d-34, 7.8577252653331d-29, 9.4622430293103d-25,
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-     |   9.4622430293112d-25, 7.8577252653331d-29, 5.4714550344422d-34,
-     |   6.0968857157768d-41, 1.5033584567569d-51, 1.9750034323335d-74/
-      data (pmn(lat,49,56), lat = 1,72)/
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-     |   2.4950393572006d-35, 4.6363737267605d-30, 6.8789120699959d-26,
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-     |  -1.9765201762786d-42,-2.9150554244841d-53,-1.2745397063186d-76/
-      data (pmn(lat,50,56), lat = 1,72)/
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-     |   1.0476309955227d-36, 2.5184147596383d-31, 4.6025423287275d-27,
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-     |   8.9323883940915d-16, 8.4801174354582d-14, 4.8626649532664d-12,
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-     |   1.1975506181074d-06, 1.2704028890617d-05, 1.0565679838987d-04,
-     |   7.0091533375814d-04, 3.7586099829910d-03, 1.6451518218399d-02,
-     |   5.9142177357640d-02, 1.7503621537047d-01, 4.2543724987384d-01,
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-     |   5.1393772517834d-18, 1.4057196868918d-20, 1.4975522231630d-23,
-     |   4.6025423287280d-27, 2.5184147596383d-31, 1.0476309955227d-36,
-     |   5.9008713535454d-44, 5.2058976188243d-55, 7.5757324562824d-79/
-      data (pmn(lat,51,56), lat = 1,72)/
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-     |   4.0103324461760d-38, 1.2469049813912d-32, 2.8062429800615d-28,
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-     |  -1.6063257336890d-45,-8.4778816151851d-57,-4.1063767131631d-81/
-      data (pmn(lat,52,56), lat = 1,72)/
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-     |   1.3804842284648d-39, 5.5505957612251d-34, 1.5379828715076d-29,
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-     |   4.3738425294099d-20, 9.0855086939416d-23, 7.1164717436466d-26,
-     |   1.5379828715078d-29, 5.5505957612251d-34, 1.3804842284648d-39,
-     |   3.9326749439052d-47, 1.2418069183666d-58, 2.0021047609303d-83/
-      data (pmn(lat,53,56), lat = 1,72)/
-     |   8.6057045035961d-86, 1.6035209019637d-60, 8.4871211588137d-49,
-     |   4.1883772528339d-41, 2.1773825709468d-35, 7.4262775459609d-31,
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-     |  -7.4262775459617d-31,-2.1773825709468d-35,-4.1883772528339d-41,
-     |  -8.4871211588137d-49,-1.6035209019637d-60,-8.6057045035961d-86/
-      data (pmn(lat,54,56), lat = 1,72)/
-     |   3.1584921304995d-88, 1.7679585927237d-62, 1.5637802909335d-50,
-     |   1.0848045719214d-42, 7.2903953516897d-37, 3.0600045682390d-32,
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-     |   6.3260105683610d-20, 9.5421389459212d-18, 8.4499738195293d-16,
-     |   4.7665712214520d-14, 1.8233122352956d-12, 4.9666053168811d-11,
-     |   1.0015832067715d-09, 1.5429415987417d-08, 1.8626441282674d-07,
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-     |  -1.3692628200476d+00,-6.8499548723820d-01, 3.3491101224400d-01,
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-      data (pmn(lat,55,56), lat = 1,72)/
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-      data (pmn(lat, 0,57), lat = 1,72)/
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-      data (pmn(lat, 1,57), lat = 1,72)/
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-      data (pmn(lat, 3,57), lat = 1,72)/
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-      data (pmn(lat, 4,57), lat = 1,72)/
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-      data (pmn(lat, 5,57), lat = 1,72)/
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-      data (pmn(lat, 8,57), lat = 1,72)/
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-      data (pmn(lat, 9,57), lat = 1,72)/
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-      data (pmn(lat,10,57), lat = 1,72)/
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-      data (pmn(lat,11,57), lat = 1,72)/
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-      data (pmn(lat,12,57), lat = 1,72)/
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-      data (pmn(lat,13,57), lat = 1,72)/
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-      data (pmn(lat,17,57), lat = 1,72)/
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-      data (pmn(lat,18,57), lat = 1,72)/
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-      data (pmn(lat,19,57), lat = 1,72)/
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-      data (pmn(lat,20,57), lat = 1,72)/
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-      data (pmn(lat,21,57), lat = 1,72)/
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-      data (pmn(lat,22,57), lat = 1,72)/
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-      data (pmn(lat,23,57), lat = 1,72)/
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-      data (pmn(lat,24,57), lat = 1,72)/
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-      data (pmn(lat,25,57), lat = 1,72)/
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-      data (pmn(lat,26,57), lat = 1,72)/
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-      data (pmn(lat,27,57), lat = 1,72)/
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-      data (pmn(lat,28,57), lat = 1,72)/
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-      data (pmn(lat,29,57), lat = 1,72)/
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-      data (pmn(lat,35,57), lat = 1,72)/
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-      data (pmn(lat,38,57), lat = 1,72)/
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-      data (pmn(lat,39,57), lat = 1,72)/
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-      data (pmn(lat,40,57), lat = 1,72)/
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-      data (pmn(lat,41,57), lat = 1,72)/
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-      data (pmn(lat,42,57), lat = 1,72)/
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-      data (pmn(lat,43,57), lat = 1,72)/
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-      data (pmn(lat,44,57), lat = 1,72)/
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-      data (pmn(lat,45,57), lat = 1,72)/
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-      data (pmn(lat,46,57), lat = 1,72)/
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-      data (pmn(lat,48,57), lat = 1,72)/
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-      data (pmn(lat,49,57), lat = 1,72)/
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-      data (pmn(lat,50,57), lat = 1,72)/
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-      data (pmn(lat,51,57), lat = 1,72)/
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-      data (pmn(lat,52,57), lat = 1,72)/
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-      data (pmn(lat,53,57), lat = 1,72)/
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-      data (pmn(lat,54,57), lat = 1,72)/
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-      data (pmn(lat,55,57), lat = 1,72)/
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-      data (pmn(lat,56,57), lat = 1,72)/
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-      data (pmn(lat,57,57), lat = 1,72)/
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-      data (pmn(lat, 0,58), lat = 1,72)/
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-      data (pmn(lat, 1,58), lat = 1,72)/
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-      data (pmn(lat, 2,58), lat = 1,72)/
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-      data (pmn(lat, 3,58), lat = 1,72)/
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-      data (pmn(lat, 4,58), lat = 1,72)/
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-      data (pmn(lat, 5,58), lat = 1,72)/
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-      data (pmn(lat, 6,58), lat = 1,72)/
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-      data (pmn(lat, 7,58), lat = 1,72)/
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-      data (pmn(lat, 8,58), lat = 1,72)/
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-      data (pmn(lat, 9,58), lat = 1,72)/
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-      data (pmn(lat,10,58), lat = 1,72)/
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-      data (pmn(lat,11,58), lat = 1,72)/
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-      data (pmn(lat,12,58), lat = 1,72)/
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-      data (pmn(lat,13,58), lat = 1,72)/
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-     |  -1.8819749928895d-03,-3.9445591123352d-06,-3.1163775164161d-12/
-      data (pmn(lat,14,58), lat = 1,72)/
-     |   1.3848842236160d-13, 5.3449274195605d-07, 4.4004919815112d-04,
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-     |   4.4004919815112d-04, 5.3449274195605d-07, 1.3848842236160d-13/
-      data (pmn(lat,15,58), lat = 1,72)/
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-     |   7.8460028775504d-03, 1.3985784273329d-01, 8.4938787461313d-01,
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-     |  -9.4959810984801d-05,-6.7150013570857d-08,-5.7177232917496d-15/
-      data (pmn(lat,16,58), lat = 1,72)/
-     |   2.2023144757579d-16, 7.8572791919659d-09, 1.9014320652555d-05,
-     |   2.2970728883834d-03, 5.6299155031738d-02, 4.6470286690764d-01,
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-     |   1.9014320652555d-05, 7.8572791919659d-09, 2.2023144757579d-16/
-      data (pmn(lat,17,58), lat = 1,72)/
-     |   7.9421715997144d-18, 8.5960915110841d-10, 3.5489430774910d-06,
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-     |  -3.5489430774910d-06,-8.5960915110841d-10,-7.9421715997144d-18/
-      data (pmn(lat,18,58), lat = 1,72)/
-     |   2.6900355572746d-19, 8.8223589076583d-11, 6.1982982588609d-07,
-     |   1.5763976222465d-04, 7.1106216372024d-03, 1.0299351519812d-01,
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-     |   1.6371276064310d+00, 1.6659038760371d+00, 6.1972241820046d-01,
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-     |   6.1982982588609d-07, 8.8223589076583d-11, 2.6900355572746d-19/
-      data (pmn(lat,19,58), lat = 1,72)/
-     |   8.5806550774956d-21, 8.5189332589514d-12, 1.0163417430096d-07,
-     |   3.7284598534326d-05, 2.2592428440883d-03, 4.2606978666282d-02,
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-     |   7.6685929058610d-01,-3.7896199895411d-01,-2.0276353905195d-01,
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-     |  -1.0163417430096d-07,-8.5189332589514d-12,-8.5806550774956d-21/
-      data (pmn(lat,20,58), lat = 1,72)/
-     |   2.5838439158665d-22, 7.7589747158208d-13, 1.5690726670000d-08,
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-     |   1.5690726670000d-08, 7.7589747158208d-13, 2.5838439158665d-22/
-      data (pmn(lat,21,58), lat = 1,72)/
-     |   7.3605483751059d-24, 6.6804744503076d-14, 2.2864437471174d-09,
-     |   1.7300673542113d-06, 1.8656277317734d-04, 5.8300961175199d-03,
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-     |  -2.2864437471174d-09,-6.6804744503076d-14,-7.3605483751059d-24/
-      data (pmn(lat,22,58), lat = 1,72)/
-     |   1.9872743671306d-25, 5.4480543374967d-15, 3.1516026167577d-10,
-     |   3.4128750131231d-07, 4.8828426248212d-05, 1.9474486527787d-03,
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-     |  -7.1346028058597d-01, 9.1478558661820d-01,-4.7982662331065d-01,
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-     |   1.9474486527788d-03, 4.8828426248212d-05, 3.4128750131231d-07,
-     |   3.1516026167577d-10, 5.4480543374967d-15, 1.9872743671306d-25/
-      data (pmn(lat,23,58), lat = 1,72)/
-     |   5.0935321698268d-27, 4.2155190386093d-16, 4.1169531824439d-11,
-     |   6.3683364134261d-08, 1.2053316620476d-05, 6.1084022208166d-04,
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-     |   7.6738083177386d-01,-3.0796462476793d-01,-3.3858551813146d-01,
-     |   7.8559829000570d-01,-7.5932505388650d-01, 2.6599477404601d-01,
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-     |  -5.5519186560921d-01,-1.1317269130339d-01,-1.2066394756682d-02,
-     |  -6.1084022208168d-04,-1.2053316620476d-05,-6.3683364134261d-08,
-     |  -4.1169531824439d-11,-4.2155190386093d-16,-5.0935321698268d-27/
-      data (pmn(lat,24,58), lat = 1,72)/
-     |   1.2411331616295d-28, 3.0994858257144d-17, 5.1051717156890d-12,
-     |   1.1261737969870d-08, 2.8127601232870d-06, 1.8045638922912d-04,
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-     |   2.1707989177068d-01,-1.0865369654605d+00, 6.5948175477819d-01,
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-     |   2.0751341281836d-01,-8.5650573753698d-01, 8.1243782570863d-01,
-     |  -1.6799579764734d-01,-5.6998388997306d-01, 8.8195208904714d-01,
-     |  -5.8155965873944d-01,-9.9206869193192d-02, 6.9773447398054d-01,
-     |  -8.3124645034109d-01, 4.2986013365660d-01, 2.3859008919491d-01,
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-     |  -3.3064020616583d-01, 7.8587302392470d-01,-7.4924339428044d-01,
-     |   2.3859008919491d-01, 4.2986013365661d-01,-8.3124645034109d-01,
-     |   6.9773447398054d-01,-9.9206869193176d-02,-5.8155965873945d-01,
-     |   8.8195208904714d-01,-5.6998388997305d-01,-1.6799579764735d-01,
-     |   8.1243782570863d-01,-8.5650573753698d-01, 2.0751341281836d-01,
-     |   6.5917807736264d-01,-9.9332922927635d-01, 4.0043711162902d-01,
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-     |   1.8045638922913d-04, 2.8127601232870d-06, 1.1261737969870d-08,
-     |   5.1051717156890d-12, 3.0994858257144d-17, 1.2411331616295d-28/
-      data (pmn(lat,25,58), lat = 1,72)/
-     |   2.8787488823233d-30, 2.1683511665046d-18, 6.0181065070548d-13,
-     |   1.8904891139623d-09, 6.2174658179312d-07, 5.0338855617177d-05,
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-     |   9.5702493233201d-01,-6.3238837555140d-01,-1.9088995069412d-01,
-     |   8.2418615887310d-01,-8.0408052869096d-01, 1.9161474445997d-01,
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-     |  -7.6736068023415d-01, 2.6403075765328d-01, 4.1559595722992d-01,
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-     |   4.3291926362700d-01, 5.4661660781314d-01,-1.0434571334636d+00,
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-     |  -5.0338855617179d-05,-6.2174658179312d-07,-1.8904891139623d-09,
-     |  -6.0181065070548d-13,-2.1683511665046d-18,-2.8787488823233d-30/
-      data (pmn(lat,26,58), lat = 1,72)/
-     |   6.3628805104025d-32, 1.4450078286951d-19, 6.7525574757986d-14,
-     |   3.0168356750813d-10, 1.3040333556142d-07, 1.3287834501972d-05,
-     |   4.9213303417603d-04, 8.3981423352849d-03, 7.5610285014739d-02,
-     |   3.8546308015132d-01, 1.1276181339037d+00, 1.7474361851760d+00,
-     |   8.6244479176487d-01,-1.0317680284008d+00,-7.9930226994467d-01,
-     |   1.0532319415541d+00, 2.5658775324256d-01,-1.0871531212733d+00,
-     |   5.4458766931134d-01, 5.4700387157744d-01,-9.9506404835833d-01,
-     |   4.5702662948647d-01, 4.6291367017483d-01,-9.2973732749357d-01,
-     |   5.9891140066842d-01, 1.9852953159071d-01,-8.0980147315388d-01,
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-     |  -9.2973732749357d-01, 4.6291367017483d-01, 4.5702662948647d-01,
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-     |  -1.0871531212733d+00, 2.5658775324255d-01, 1.0532319415541d+00,
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-     |   1.7474361851760d+00, 1.1276181339037d+00, 3.8546308015133d-01,
-     |   7.5610285014741d-02, 8.3981423352850d-03, 4.9213303417603d-04,
-     |   1.3287834501972d-05, 1.3040333556142d-07, 3.0168356750813d-10,
-     |   6.7525574757986d-14, 1.4450078286951d-19, 6.3628805104025d-32/
-      data (pmn(lat,27,58), lat = 1,72)/
-     |   1.3414767632468d-33, 9.1821411927018d-21, 7.2194829071067d-15,
-     |   4.5821784429451d-11, 2.5989201834770d-08, 3.3251897932581d-06,
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-     |   1.4991938408866d+00,-1.9150022847318d-01,-1.3049177004684d+00,
-     |   2.2299420881996d-01, 1.0745248493314d+00,-7.0313091973614d-01,
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-     |  -6.3201092530635d-01, 9.4680259772239d-01,-3.6981066863723d-01,
-     |  -5.0442088488311d-01, 9.0934575769539d-01,-5.4870931158283d-01,
-     |  -2.3850068184529d-01, 8.1468674504348d-01,-7.5147437669594d-01,
-     |   1.2415472798631d-01, 5.8323417848127d-01,-8.5171322887623d-01,
-     |   4.9737821749428d-01, 2.1365040268203d-01,-7.6705714715826d-01,
-     |   7.6705714715826d-01,-2.1365040268202d-01,-4.9737821749428d-01,
-     |   8.5171322887623d-01,-5.8323417848126d-01,-1.2415472798631d-01,
-     |   7.5147437669595d-01,-8.1468674504348d-01, 2.3850068184528d-01,
-     |   5.4870931158283d-01,-9.0934575769539d-01, 5.0442088488310d-01,
-     |   3.6981066863723d-01,-9.4680259772239d-01, 6.3201092530635d-01,
-     |   3.5923310391220d-01,-1.0301134121076d+00, 5.3359043963454d-01,
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-     |   1.3049177004684d+00, 1.9150022847317d-01,-1.4991938408865d+00,
-     |  -1.5567462798840d+00,-7.5257964052006d-01,-2.0732396364813d-01,
-     |  -3.3600029648482d-02,-3.1045131116178d-03,-1.5071817288637d-04,
-     |  -3.3251897932582d-06,-2.5989201834770d-08,-4.5821784429451d-11,
-     |  -7.2194829071067d-15,-9.1821411927018d-21,-1.3414767632468d-33/
-      data (pmn(lat,28,58), lat = 1,72)/
-     |   2.6999003735951d-35, 5.5682917771635d-22, 7.3616779047100d-16,
-     |   6.6312105938348d-12, 4.9279666164947d-09, 7.9006168144383d-07,
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-      data (pmn(lat,29,58), lat = 1,72)/
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-      data (pmn(lat,30,58), lat = 1,72)/
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-      data (pmn(lat,31,58), lat = 1,72)/
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-      data (pmn(lat,32,58), lat = 1,72)/
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-     |   5.0253949497782d-20, 4.7791543157024d-27, 2.8183347474043d-42/
-      data (pmn(lat,33,58), lat = 1,72)/
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-      data (pmn(lat,34,58), lat = 1,72)/
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-     |   3.1703948357729d-22, 1.0716790226526d-29, 6.9779297048326d-46/
-      data (pmn(lat,35,58), lat = 1,72)/
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-     |  -2.3555812528720d-23,-4.7494748211781d-31,-1.0278285140251d-47/
-      data (pmn(lat,36,58), lat = 1,72)/
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-     |   2.4188859493247d-19, 1.5051045819166d-15, 1.3942555375886d-12,
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-      data (pmn(lat,37,58), lat = 1,72)/
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-      data (pmn(lat,38,58), lat = 1,72)/
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-      data (pmn(lat,39,58), lat = 1,72)/
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-      data (pmn(lat,40,58), lat = 1,72)/
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-      data (pmn(lat,41,58), lat = 1,72)/
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-      data (pmn(lat,42,58), lat = 1,72)/
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-      data (pmn(lat,43,58), lat = 1,72)/
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-      data (pmn(lat,44,58), lat = 1,72)/
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-      data (pmn(lat,45,58), lat = 1,72)/
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-      data (pmn(lat,46,58), lat = 1,72)/
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-      data (pmn(lat,47,58), lat = 1,72)/
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-      data (pmn(lat,48,58), lat = 1,72)/
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-     |   6.0231612067443d-33, 8.4943289960989d-28, 9.9970838873372d-24,
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-      data (pmn(lat,49,58), lat = 1,72)/
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-      data (pmn(lat,50,58), lat = 1,72)/
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-     |   1.4913838248477d-35, 3.5232286970137d-30, 6.2990292440942d-26,
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-      data (pmn(lat,51,58), lat = 1,72)/
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-      data (pmn(lat,52,58), lat = 1,72)/
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-     |   2.9368599258924d-28, 1.0825001233251d-32, 2.7377329115507d-38,
-     |   7.8971457326896d-46, 2.5144128762411d-57, 4.0706633743303d-82/
-      data (pmn(lat,53,58), lat = 1,72)/
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-     |   1.0270852793350d-39, 5.2524706093072d-34, 1.7547793953670d-29,
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-     |  -2.1068865852705d-47,-4.0131788309605d-59,-2.1625335066974d-84/
-      data (pmn(lat,54,58), lat = 1,72)/
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-     |   3.4669597371298d-41, 2.2927181319442d-35, 9.4300971074999d-31,
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-     |   1.1218677402305d-12, 4.0445314204893d-11, 1.0319898694234d-09,
-     |   1.9366173712410d-08, 2.7563488742706d-07, 3.0502287710549d-06,
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-     |   5.2299223788702d-03, 2.0746148992050d-02, 6.8740761536756d-02,
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-     |   1.1330611807697d+00, 1.2875690348073d-01,-9.9628982650781d-01,
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-     |   6.8740761536756d-02, 2.0746148992050d-02, 5.2299223788702d-03,
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-     |   3.0502287710549d-06, 2.7563488742706d-07, 1.9366173712410d-08,
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-     |   2.0981091148131d-14, 2.4860453402673d-16, 1.7205196394500d-18,
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-     |   9.4300971075008d-31, 2.2927181319442d-35, 3.4669597371298d-41,
-     |   5.0581822352211d-49, 5.7644669324194d-61, 1.0339445820021d-86/
-      data (pmn(lat,55,58), lat = 1,72)/
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-     |   1.0320275884237d-42, 8.8240222055604d-37, 4.4673210070444d-32,
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-     |   1.3294334262787d-13, 5.2892956228588d-12, 1.4848667374781d-10,
-     |   3.0594310619366d-09, 4.7753493818889d-08, 5.7934362025627d-07,
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-     |   5.7731901180001d-01, 1.3272880382559d+00, 1.1688994112878d+00,
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-     |  -4.4673210070449d-32,-8.8240222055604d-37,-1.0320275884237d-42,
-     |  -1.0710269950268d-50,-7.3032617401178d-63,-4.3604953263369d-89/
-      data (pmn(lat,56,58), lat = 1,72)/
-     |   1.5710531279372d-91, 7.9045088366881d-65, 1.9371982085206d-52,
-     |   2.6239279570273d-44, 2.9002348311901d-38, 1.8069341841775d-33,
-     |   1.6462385855586d-29, 3.7669262061989d-26, 3.0310231592234d-23,
-     |   1.0725706019965d-20, 1.9511754227396d-18, 2.0434884719926d-16,
-     |   1.3409654134452d-14, 5.8830999844751d-13, 1.8153884443865d-11,
-     |   4.1022715919800d-10, 7.0127510994897d-09, 9.3124467755608d-08,
-     |   9.8174579097177d-07, 8.3656130755845d-06, 5.8481523707032d-05,
-     |   3.3954333226707d-04, 1.6538378598448d-03, 6.8126320660031d-03,
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-     |   4.0387587098946d-01, 7.5831727890100d-01, 1.2054341052920d+00,
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-     |   1.2736741762714d+00, 1.6826462405773d+00, 1.5932712620154d+00,
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-     |   1.8366306818905d-01, 7.1551509757606d-02, 2.3881331988774d-02,
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-     |   1.8153884443864d-11, 5.8830999844751d-13, 1.3409654134452d-14,
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-     |   3.0310231592236d-23, 3.7669262061990d-26, 1.6462385855586d-29,
-     |   1.8069341841777d-33, 2.9002348311901d-38, 2.6239279570273d-44,
-     |   1.9371982085206d-52, 7.9045088366881d-65, 1.5710531279372d-91/
-      data (pmn(lat,57,58), lat = 1,72)/
-     |   4.5604536212642d-94, 6.8925464976658d-67, 2.8226925574869d-54,
-     |   5.3737986626013d-46, 7.6772339338907d-40, 5.8851938950160d-35,
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-     |  -2.8226925574869d-54,-6.8925464976658d-67,-4.5604536212642d-94/
-      data (pmn(lat,58,58), lat = 1,72)/
-     |   9.2392206712369d-97, 4.1944989731192d-69, 2.8702474578028d-56,
-     |   7.6794931242417d-48, 1.4178737619083d-41, 1.3370972252358d-36,
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-     |   6.1187847214708d-17, 3.2570592501170d-15, 1.2112491255300d-13,
-     |   3.2824436782954d-12, 6.7070912834044d-11, 1.0626439041879d-09,
-     |   1.3360343439625d-08, 1.3590450022468d-07, 1.1368985036102d-06,
-     |   7.9302856550100d-06, 4.6671915012596d-05, 2.3410119605650d-04,
-     |   1.0094680730953d-03, 3.7701039128770d-03, 1.2273324113885d-02,
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-     |   2.8702474578028d-56, 4.1944989731192d-69, 9.2392206712369d-97/
-      data (pmn(lat, 0,59), lat = 1,72)/
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-     |  -1.9969035850411d+00, 3.1017882103291d+00,-4.7909323278286d+00/
-      data (pmn(lat, 1,59), lat = 1,72)/
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-     |   1.8110195594088d+00,-1.8049210247277d+00, 1.3352299216712d+00,
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-      data (pmn(lat, 4,59), lat = 1,72)/
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-      data (pmn(lat, 5,59), lat = 1,72)/
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-      data (pmn(lat, 6,59), lat = 1,72)/
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-      data (pmn(lat, 7,59), lat = 1,72)/
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-      data (pmn(lat, 8,59), lat = 1,72)/
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-      data (pmn(lat, 9,59), lat = 1,72)/
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-      data (pmn(lat,13,59), lat = 1,72)/
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-      data (pmn(lat,14,59), lat = 1,72)/
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-      data (pmn(lat,15,59), lat = 1,72)/
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-      data (pmn(lat,16,59), lat = 1,72)/
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-      data (pmn(lat,17,59), lat = 1,72)/
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-      data (pmn(lat,20,59), lat = 1,72)/
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-      data (pmn(lat,21,59), lat = 1,72)/
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-      data (pmn(lat,22,59), lat = 1,72)/
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-      data (pmn(lat,23,59), lat = 1,72)/
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-      data (pmn(lat,24,59), lat = 1,72)/
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-      data (pmn(lat,25,59), lat = 1,72)/
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-      data (pmn(lat,28,59), lat = 1,72)/
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-      data (pmn(lat,29,59), lat = 1,72)/
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-      data (pmn(lat,30,59), lat = 1,72)/
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-      data (pmn(lat,31,59), lat = 1,72)/
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-      data (pmn(lat,32,59), lat = 1,72)/
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-      data (pmn(lat,33,59), lat = 1,72)/
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-      data (pmn(lat,36,59), lat = 1,72)/
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-      data (pmn(lat,37,59), lat = 1,72)/
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-      data (pmn(lat,38,59), lat = 1,72)/
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-      data (pmn(lat,39,59), lat = 1,72)/
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-      data (pmn(lat,40,59), lat = 1,72)/
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-      data (pmn(lat,41,59), lat = 1,72)/
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-      data (pmn(lat,46,59), lat = 1,72)/
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-      data (pmn(lat,48,59), lat = 1,72)/
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-      data (pmn(lat,49,59), lat = 1,72)/
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-      data (pmn(lat,50,59), lat = 1,72)/
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-      data (pmn(lat,51,59), lat = 1,72)/
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-     |   1.0031139605508d-43, 5.3623832646213d-55, 2.6139603810793d-79/
-      data (pmn(lat,52,59), lat = 1,72)/
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-     |   1.0852167655678d-37, 4.2542135493911d-32, 1.1417464128141d-27,
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-     |  -3.1504968400043d-45,-1.0073795156132d-56,-1.6343427528700d-81/
-      data (pmn(lat,53,59), lat = 1,72)/
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-     |   4.4183413161882d-39, 2.2405469471870d-33, 7.4062833117374d-29,
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-     |   9.1206283304351d-47, 1.7445571297178d-58, 9.4202807338664d-84/
-      data (pmn(lat,54,59), lat = 1,72)/
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-     |   1.6414394362059d-40, 1.0765479708735d-34, 4.3820255800654d-30,
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-     |  -2.4096319763099d-48,-2.7573710381327d-60,-4.9558841921031d-86/
-      data (pmn(lat,55,59), lat = 1,72)/
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-     |   5.4882555600461d-42, 4.6546032705454d-36, 2.3325151870632d-31,
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-     |   5.7302664513957d-50, 3.9231870021368d-62, 2.3470908688333d-88/
-      data (pmn(lat,56,59), lat = 1,72)/
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-     |   1.6186613688471d-43, 1.7749015729172d-37, 1.0947795550715d-32,
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-     |  -1.2021606135981d-51,-4.9247041226793d-64,-9.8073737027357d-91/
-      data (pmn(lat,57,59), lat = 1,72)/
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-     |   4.0785243586571d-45, 5.7812946280437d-39, 4.3883705066299d-34,
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-      data (pmn(lat,58,59), lat = 1,72)/
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-      data (pmn(lat,59,59), lat = 1,72)/
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-      data (pmn(lat, 0,60), lat = 1,72)/
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-      data (pmn(lat, 1,60), lat = 1,72)/
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-      data (pmn(lat, 2,60), lat = 1,72)/
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-      data (pmn(lat, 3,60), lat = 1,72)/
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-      data (pmn(lat, 4,60), lat = 1,72)/
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-      data (pmn(lat, 5,60), lat = 1,72)/
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-      data (pmn(lat, 6,60), lat = 1,72)/
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-      data (pmn(lat, 7,60), lat = 1,72)/
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-      data (pmn(lat, 8,60), lat = 1,72)/
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-      data (pmn(lat, 9,60), lat = 1,72)/
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-      data (pmn(lat,10,60), lat = 1,72)/
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-      data (pmn(lat,11,60), lat = 1,72)/
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-      data (pmn(lat,12,60), lat = 1,72)/
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-      data (pmn(lat,13,60), lat = 1,72)/
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-      data (pmn(lat,14,60), lat = 1,72)/
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-      data (pmn(lat,15,60), lat = 1,72)/
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-      data (pmn(lat,16,60), lat = 1,72)/
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-      data (pmn(lat,17,60), lat = 1,72)/
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-      data (pmn(lat,18,60), lat = 1,72)/
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-      data (pmn(lat,19,60), lat = 1,72)/
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-      data (pmn(lat,20,60), lat = 1,72)/
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-      data (pmn(lat,21,60), lat = 1,72)/
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-      data (pmn(lat,22,60), lat = 1,72)/
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-      data (pmn(lat,23,60), lat = 1,72)/
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-      data (pmn(lat,24,60), lat = 1,72)/
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-     |   1.1866156224406d-11, 7.3388908121557d-17, 2.9656458094535d-28/
-      data (pmn(lat,25,60), lat = 1,72)/
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-      data (pmn(lat,26,60), lat = 1,72)/
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-      data (pmn(lat,27,60), lat = 1,72)/
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-      data (pmn(lat,28,60), lat = 1,72)/
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-     |   2.0290717457320d-15, 1.5593167599871d-21, 7.6202342082290d-35/
-      data (pmn(lat,29,60), lat = 1,72)/
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-      data (pmn(lat,30,60), lat = 1,72)/
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-     |   2.0084691093255d-17, 5.4621600944274d-24, 2.9409757180632d-38/
-      data (pmn(lat,31,60), lat = 1,72)/
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-     |   4.6849297426618d-14, 7.5473926548801d-11, 2.2684255566574d-08,
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-     |  -1.8688853110010d-18,-3.0258198450342d-25,-5.4097408116523d-40/
-      data (pmn(lat,32,60), lat = 1,72)/
-     |   9.5295679825763d-42, 1.6048701280146d-26, 1.6642774839414d-19,
-     |   5.9070954967029d-15, 1.2426538415988d-11, 4.6580802066826d-09,
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-     |   5.9593869631065d-04, 2.5303993673511d-05, 5.3380035630364d-07,
-     |   4.6580802066829d-09, 1.2426538415988d-11, 5.9070954967029d-15,
-     |   1.6642774839414d-19, 1.6048701280146d-26, 9.5295679825763d-42/
-      data (pmn(lat,33,60), lat = 1,72)/
-     |   1.6081369673491d-43, 8.1527580364231d-28, 1.4189317141153d-20,
-     |   7.1262723644078d-16, 1.9558194343395d-12, 9.1322705062526d-10,
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-     |   1.0714462113488d+00, 2.0231282402654d-01,-1.0629873639116d+00,
-     |   4.4729529945210d-01, 6.6759822419533d-01,-9.4448204553139d-01,
-     |   1.8957472387709d-01, 7.1747372945774d-01,-8.8219302666612d-01,
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-     |  -9.1322705062532d-10,-1.9558194343395d-12,-7.1262723644078d-16,
-     |  -1.4189317141153d-20,-8.1527580364231d-28,-1.6081369673491d-43/
-      data (pmn(lat,34,60), lat = 1,72)/
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-     |   8.2283656083074d-17, 2.9438444169484d-13, 1.7103121344150d-10,
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-     |   1.7103121344151d-10, 2.9438444169484d-13, 8.2283656083074d-17,
-     |   1.1585380166475d-21, 3.9677292939833d-29, 2.6003006065274d-45/
-      data (pmn(lat,35,60), lat = 1,72)/
-     |   4.0292923640555d-47, 1.8501752676720d-30, 9.0603771174222d-23,
-     |   9.0954367372792d-18, 4.2387409077275d-14, 3.0610573824956d-11,
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-     |  -9.0603771174222d-23,-1.8501752676720d-30,-4.0292923640555d-47/
-      data (pmn(lat,36,60), lat = 1,72)/
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-     |   9.6258601901784d-19, 5.8394302307609d-15, 5.2370062912386d-12,
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-     |   8.6903818155974d-01,-7.8539777151339d-01,-4.9718131187994d-01,
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-     |  -4.6602500860135d-01, 1.1674950705953d+00, 1.6067217496600d+00,
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-     |   5.2370062912389d-12, 5.8394302307609d-15, 9.6258601901784d-19,
-     |   6.7873031027242d-24, 8.2667109126892d-32, 5.9834073482544d-49/
-      data (pmn(lat,37,60), lat = 1,72)/
-     |   8.5142720725544d-51, 3.5389259340879d-33, 4.8701663950138d-25,
-     |   9.7534757139596d-20, 7.6973045676966d-16, 8.5658149355883d-13,
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-     |   1.3731226876504d+00, 1.5632998817917d+00, 4.2638709930926d-01,
-     |  -1.0959087632586d+00,-7.1888016233331d-01, 9.3404411785860d-01,
-     |   5.3282607246967d-01,-1.0089801027056d+00,-7.3781289673791d-02,
-     |   9.8059438775914d-01,-5.3061678824362d-01,-5.6494415674327d-01,
-     |   9.2920740702660d-01,-2.0264667834988d-01,-7.2535450253241d-01,
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-     |   7.7566802241883d-01, 8.6855470828637d-03,-7.8940735757903d-01,
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-      data (pmn(lat,38,60), lat = 1,72)/
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-      data (pmn(lat,40,60), lat = 1,72)/
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-      data (pmn(lat,41,60), lat = 1,72)/
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-      data (pmn(lat,42,60), lat = 1,72)/
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-      data (pmn(lat,43,60), lat = 1,72)/
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-      data (pmn(lat,44,60), lat = 1,72)/
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-      data (pmn(lat,45,60), lat = 1,72)/
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-     |  -6.9338839580125d-35,-8.1526521375134d-45,-2.9346349396994d-66/
-      data (pmn(lat,46,60), lat = 1,72)/
-     |   2.7756003360479d-68, 2.3177283983289d-46, 3.2982000299866d-36,
-     |   1.4528240913059d-29, 1.1981739571748d-24, 9.0437387706558d-21,
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-     |   4.3119045527715d-06, 6.2713739524500d-05, 6.4911831126075d-04,
-     |   4.9093568746853d-03, 2.7615236340049d-02, 1.1659500008415d-01,
-     |   3.6923324755842d-01, 8.6382273310167d-01, 1.4301452103339d+00,
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-     |  -1.0764328898940d+00, 2.9565587720984d-01, 1.1079985489424d+00,
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-     |   1.0186775046898d+00,-2.0635196834669d-01,-9.5529507653201d-01,
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-     |   1.1079985489424d+00, 2.9565587720985d-01,-1.0764328898940d+00,
-     |  -8.8491955276634d-01, 5.0956529661117d-01, 1.4836414252578d+00,
-     |   1.4301452103340d+00, 8.6382273310167d-01, 3.6923324755842d-01,
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-     |   6.4911831126074d-04, 6.2713739524500d-05, 4.3119045527716d-06,
-     |   2.0341606155562d-07, 6.2679447712004d-09, 1.1805660518885d-10,
-     |   1.2417047034243d-12, 6.4288420534980d-15, 1.3658269648985d-17,
-     |   9.0437387706566d-21, 1.1981739571748d-24, 1.4528240913059d-29,
-     |   3.2982000299866d-36, 2.3177283983289d-46, 2.7756003360479d-68/
-      data (pmn(lat,47,60), lat = 1,72)/
-     |   2.4938679277159d-70, 6.2590803143721d-48, 1.4900552054823d-37,
-     |   9.2412397501480d-31, 9.8743019823110d-26, 9.1982809955006d-22,
-     |   1.6613906739832d-18, 9.1522892286302d-16, 2.0371842096905d-13,
-     |   2.2072296687572d-11, 1.3246387091097d-09, 4.8315309691336d-08,
-     |   1.1467718516270d-06, 1.8639868105933d-05, 2.1558129734586d-04,
-     |   1.8251271992676d-03, 1.1539632506600d-02, 5.5167156351700d-02,
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-     |   1.5504828955530d+00, 1.2425985627830d+00,-1.2910094341577d-02,
-     |  -1.1559996758308d+00,-7.4826723342698d-01, 7.2235987987349d-01,
-     |   9.5207706852612d-01,-4.7862577517671d-01,-9.7019868968363d-01,
-     |   4.2352525400161d-01, 9.3005384866023d-01,-4.8764590330650d-01,
-     |  -8.5391248363468d-01, 6.1014090674801d-01, 7.4296430639728d-01,
-     |  -7.4296430639727d-01,-6.1014090674802d-01, 8.5391248363468d-01,
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-     |  -2.0371842096906d-13,-9.1522892286303d-16,-1.6613906739832d-18,
-     |  -9.1982809955014d-22,-9.8743019823110d-26,-9.2412397501480d-31,
-     |  -1.4900552054823d-37,-6.2590803143721d-48,-2.4938679277159d-70/
-      data (pmn(lat,48,60), lat = 1,72)/
-     |   2.1240797212380d-72, 1.6021819439745d-49, 6.3800683099505d-39,
-     |   5.5700576691149d-32, 7.7088210394701d-27, 8.8594767859155d-23,
-     |   1.9129289720642d-19, 1.2326523570247d-16, 3.1598455334705d-14,
-     |   3.8982908818588d-12, 2.6418431758690d-10, 1.0816622326834d-08,
-     |   2.8703633368588d-07, 5.2042000258539d-06, 6.7093857121924d-05,
-     |   6.3384047546550d-04, 4.4855119780786d-03, 2.4135921612594d-02,
-     |   9.9533833931627d-02, 3.1450823292100d-01, 7.5253514982237d-01,
-     |   1.3195114406699d+00, 1.5565496544120d+00, 8.9440998054586d-01,
-     |  -4.7912561933024d-01,-1.2311051588730d+00,-3.4711678156130d-01,
-     |   9.9227384869398d-01, 6.8821783773970d-01,-7.7557989666635d-01,
-     |  -7.9223718972649d-01, 6.7725064707376d-01, 7.9846549108817d-01,
-     |  -6.6963614917673d-01,-7.6192692854920d-01, 7.0988827478820d-01,
-     |   7.0988827478820d-01,-7.6192692854919d-01,-6.6963614917673d-01,
-     |   7.9846549108817d-01, 6.7725064707376d-01,-7.9223718972650d-01,
-     |  -7.7557989666636d-01, 6.8821783773968d-01, 9.9227384869399d-01,
-     |  -3.4711678156130d-01,-1.2311051588730d+00,-4.7912561933025d-01,
-     |   8.9440998054586d-01, 1.5565496544120d+00, 1.3195114406699d+00,
-     |   7.5253514982238d-01, 3.1450823292100d-01, 9.9533833931628d-02,
-     |   2.4135921612594d-02, 4.4855119780787d-03, 6.3384047546551d-04,
-     |   6.7093857121923d-05, 5.2042000258539d-06, 2.8703633368589d-07,
-     |   1.0816622326834d-08, 2.6418431758690d-10, 3.8982908818589d-12,
-     |   3.1598455334706d-14, 1.2326523570247d-16, 1.9129289720642d-19,
-     |   8.8594767859163d-23, 7.7088210394701d-27, 5.5700576691149d-32,
-     |   6.3800683099505d-39, 1.6021819439745d-49, 2.1240797212380d-72/
-      data (pmn(lat,49,60), lat = 1,72)/
-     |   1.7105289648366d-74, 3.8774797490779d-51, 2.5824525651221d-40,
-     |   3.1731682660270d-33, 5.6867432149146d-28, 8.0604834368864d-24,
-     |   2.0796896699051d-20, 1.5667632550907d-17, 4.6225748868932d-15,
-     |   6.4886802774874d-13, 4.9610639080723d-11, 2.2775753264648d-09,
-     |   6.7480293588583d-08, 1.3624125625325d-06, 1.9537562207752d-05,
-     |   2.0539564022990d-04, 1.6210053571404d-03, 9.7689809937796d-03,
-     |   4.5442331630086d-02, 1.6383142828616d-01, 4.5581262283692d-01,
-     |   9.6177932732304d-01, 1.4733324181556d+00, 1.4540312690040d+00,
-     |   4.9994056126897d-01,-8.3628633732797d-01,-1.1538199879484d+00,
-     |   3.7869705864098d-02, 1.1159973544953d+00, 4.0511447169665d-01,
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-     |   6.9002751898932d-01,-7.6469424124225d-01,-7.2863007358006d-01,
-     |   7.2863007358006d-01, 7.6469424124226d-01,-6.9002751898932d-01,
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-     |  -4.6225748868934d-15,-1.5667632550907d-17,-2.0796896699051d-20,
-     |  -8.0604834368871d-24,-5.6867432149146d-28,-3.1731682660270d-33,
-     |  -2.5824525651221d-40,-3.8774797490779d-51,-1.7105289648366d-74/
-      data (pmn(lat,50,60), lat = 1,72)/
-     |   1.2983802852543d-76, 8.8445301964881d-53, 9.8509400314757d-42,
-     |   1.7032937075096d-34, 3.9518385241452d-29, 6.9062216488320d-25,
-     |   2.1284196046542d-21, 1.8737830687089d-18, 6.3592341056483d-16,
-     |   1.0149351662280d-13, 8.7473452331534d-12, 4.4982534739484d-10,
-     |   1.4861637880739d-08, 3.3361716498211d-07, 5.3114801600673d-06,
-     |   6.1988612995030d-05, 5.4388693495000d-04, 3.6557333708412d-03,
-     |   1.9070977120782d-02, 7.7782957379426d-02, 2.4823233065364d-01,
-     |   6.1487162066950d-01, 1.1551343658289d+00, 1.5558591096768d+00,
-     |   1.2708710206019d+00, 1.1810361019227d-01,-1.0694243781566d+00,
-     |  -9.9018496093441d-01, 3.5173337511337d-01, 1.1390435470550d+00,
-     |   1.6644949181755d-01,-1.0437402141576d+00,-4.6963841287966d-01,
-     |   9.0913010453839d-01, 6.5097599213326d-01,-7.8286780094291d-01,
-     |  -7.8286780094291d-01, 6.5097599213326d-01, 9.0913010453839d-01,
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-     |  -1.0694243781566d+00, 1.1810361019227d-01, 1.2708710206019d+00,
-     |   1.5558591096768d+00, 1.1551343658289d+00, 6.1487162066950d-01,
-     |   2.4823233065364d-01, 7.7782957379426d-02, 1.9070977120782d-02,
-     |   3.6557333708413d-03, 5.4388693495001d-04, 6.1988612995031d-05,
-     |   5.3114801600672d-06, 3.3361716498211d-07, 1.4861637880740d-08,
-     |   4.4982534739484d-10, 8.7473452331534d-12, 1.0149351662281d-13,
-     |   6.3592341056485d-16, 1.8737830687090d-18, 2.1284196046542d-21,
-     |   6.9062216488326d-25, 3.9518385241452d-29, 1.7032937075096d-34,
-     |   9.8509400314757d-42, 8.8445301964881d-53, 1.2983802852543d-76/
-      data (pmn(lat,51,60), lat = 1,72)/
-     |   9.2542061717535d-79, 1.8942742341194d-54, 3.5279262120124d-43,
-     |   8.5824573734142d-36, 2.5772914241406d-30, 5.5516670616444d-26,
-     |   2.0429732389921d-22, 2.1008237294705d-19, 8.1968458617267d-17,
-     |   1.4864835502772d-14, 1.4430428285865d-12, 8.3044110085708d-11,
-     |   3.0560219072756d-09, 7.6170362174501d-08, 1.3440520690825d-06,
-     |   1.7376368812835d-05, 1.6903432088306d-04, 1.2626821797885d-03,
-     |   7.3517243788516d-03, 3.3691764945297d-02, 1.2207957532987d-01,
-     |   3.4903575440678d-01, 7.7839917511753d-01, 1.3156567481474d+00,
-     |   1.5707429332093d+00, 1.0479588446470d+00,-2.0770711800363d-01,
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-     |   1.1176430676583d+00, 9.5539494777426d-03,-1.0850451270005d+00,
-     |  -4.2159237086409d-01, 9.2646292979283d-01, 7.0947121517149d-01,
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-     |  -5.5516670616450d-26,-2.5772914241406d-30,-8.5824573734142d-36,
-     |  -3.5279262120124d-43,-1.8942742341194d-54,-9.2542061717535d-79/
-      data (pmn(lat,52,60), lat = 1,72)/
-     |   6.1646630779202d-81, 3.7915974919346d-56, 1.1806710054669d-44,
-     |   4.0404955662096d-37, 1.5701369574584d-31, 4.1677172551276d-27,
-     |   1.8306823353197d-23, 2.1979853555408d-20, 9.8545292632201d-18,
-     |   2.0293992158102d-15, 2.2174521656033d-13, 1.4268222873268d-11,
-     |   5.8423817015065d-10, 1.6148022304428d-08, 3.1531347798077d-07,
-     |   4.5071633087273d-06, 4.8494925250206d-05, 4.0135721143253d-04,
-     |   2.5975194461074d-03, 1.3301631758694d-02, 5.4288531480497d-02,
-     |   1.7697359017835d-01, 4.5878485734681d-01, 9.3220838546269d-01,
-     |   1.4348856004819d+00, 1.5363747211089d+00, 8.2860938842030d-01,
-     |  -4.5427442101459d-01,-1.2489809897408d+00,-6.5822089744050d-01,
-     |   7.0395824418416d-01, 1.1013815802407d+00,-4.3707375239353d-02,
-     |  -1.1023558112754d+00,-4.8803218085655d-01, 8.7125773188894d-01,
-     |   8.7125773188894d-01,-4.8803218085654d-01,-1.1023558112754d+00,
-     |  -4.3707375239357d-02, 1.1013815802407d+00, 7.0395824418416d-01,
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-     |   8.2860938842030d-01, 1.5363747211089d+00, 1.4348856004819d+00,
-     |   9.3220838546269d-01, 4.5878485734681d-01, 1.7697359017835d-01,
-     |   5.4288531480498d-02, 1.3301631758694d-02, 2.5975194461074d-03,
-     |   4.0135721143253d-04, 4.8494925250206d-05, 4.5071633087273d-06,
-     |   3.1531347798076d-07, 1.6148022304428d-08, 5.8423817015066d-10,
-     |   1.4268222873268d-11, 2.2174521656033d-13, 2.0293992158103d-15,
-     |   9.8545292632206d-18, 2.1979853555408d-20, 1.8306823353197d-23,
-     |   4.1677172551280d-27, 1.5701369574584d-31, 4.0404955662096d-37,
-     |   1.1806710054669d-44, 3.7915974919346d-56, 6.1646630779202d-81/
-      data (pmn(lat,53,60), lat = 1,72)/
-     |   3.8155610000271d-83, 7.0511517844839d-58, 3.6707559511225d-46,
-     |   1.7668996747305d-38, 8.8834137493649d-33, 2.9048963685879d-28,
-     |   1.5225891577802d-24, 2.1335885247370d-21, 1.0986823138334d-18,
-     |   2.5679004873240d-16, 3.1560328882514d-14, 2.2687968861387d-12,
-     |   1.0326949626940d-10, 3.1615550957583d-09, 6.8219745252013d-08,
-     |   1.0763287752978d-06, 1.2781779236817d-05, 1.1688912563901d-04,
-     |   8.3796373308949d-04, 4.7728152941054d-03, 2.1801391265777d-02,
-     |   8.0280079798329d-02, 2.3839806103487d-01, 5.6739712936699d-01,
-     |   1.0642974632035d+00, 1.5141249900298d+00, 1.4804660453254d+00,
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-     |  -5.8434585155837d-01, 7.4770118154263d-01, 1.1224911781746d+00,
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-     |  -3.6707559511225d-46,-7.0511517844839d-58,-3.8155610000271d-83/
-      data (pmn(lat,54,60), lat = 1,72)/
-     |   2.1777317982504d-85, 1.2091370621567d-59, 1.0522544674514d-47,
-     |   7.1230890686276d-40, 4.6325531146821d-34, 1.8657644883915d-29,
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-     |   1.1275172257600d-19, 1.9072252104093d-22, 1.1665848258227d-25,
-     |   1.8657644883917d-29, 4.6325531146821d-34, 7.1230890686276d-40,
-     |   1.0522544674514d-47, 1.2091370621567d-59, 2.1777317982504d-85/
-      data (pmn(lat,55,60), lat = 1,72)/
-     |   1.1347554539077d-87, 1.8928867541185d-61, 2.7534855500336d-49,
-     |   2.6209904563381d-41, 2.2045753294392d-35, 1.0933231795221d-30,
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-     |  -2.7534855500336d-49,-1.8928867541185d-61,-1.1347554539077d-87/
-      data (pmn(lat,56,60), lat = 1,72)/
-     |   5.3242951617969d-90, 2.6682000489819d-63, 6.4871593752446d-51,
-     |   8.6819861027886d-43, 9.4430800384717d-37, 5.7654271308964d-32,
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-     |   3.2693893529750d-13, 1.3520210534261d-11, 3.9086061766071d-10,
-     |   8.2204631937613d-09, 1.2986181854175d-07, 1.5811980983652d-06,
-     |   1.5153079306928d-05, 1.1624805483706d-04, 7.2367301083876d-04,
-     |   3.6947990149919d-03, 1.5594107675738d-02, 5.4687713305345d-02,
-     |   1.5969870734339d-01, 3.8768267777655d-01, 7.7683406656122d-01,
-     |   1.2639763512517d+00, 1.6112672869019d+00, 1.4701426102862d+00,
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-     |  -1.0401008523714d+00, 9.6442064822697d-02, 1.1369273787018d+00,
-     |   1.1369273787018d+00, 9.6442064822701d-02,-1.0401008523714d+00,
-     |  -1.2973633495342d+00,-5.1699944685942d-01, 6.5897577006046d-01,
-     |   1.4701426102862d+00, 1.6112672869019d+00, 1.2639763512517d+00,
-     |   7.7683406656121d-01, 3.8768267777656d-01, 1.5969870734339d-01,
-     |   5.4687713305346d-02, 1.5594107675738d-02, 3.6947990149919d-03,
-     |   7.2367301083878d-04, 1.1624805483707d-04, 1.5153079306928d-05,
-     |   1.5811980983652d-06, 1.2986181854176d-07, 8.2204631937615d-09,
-     |   3.9086061766070d-10, 1.3520210534261d-11, 3.2693893529751d-13,
-     |   5.2554529583431d-15, 5.2648220054112d-17, 3.0209569713775d-19,
-     |   8.8679598287013d-22, 1.1394851290502d-24, 5.1256107146469d-28,
-     |   5.7654271308970d-32, 9.4430800384717d-37, 8.6819861027886d-43,
-     |   6.4871593752446d-51, 2.6682000489819d-63, 5.3242951617969d-90/
-      data (pmn(lat,57,60), lat = 1,72)/
-     |   2.2046620432399d-92, 3.3190652937745d-65, 1.3486426629617d-52,
-     |   2.5374233700466d-44, 3.5682402103830d-38, 2.6815023348713d-33,
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-     |   3.8025160916606d-14, 1.7352304124137d-12, 5.5186940441550d-11,
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-     |   3.0960302601647d-06, 2.6083636884190d-05, 1.7874492636641d-04,
-     |   1.0081465682743d-03, 4.7237394203371d-03, 1.8516695346630d-02,
-     |   6.1008421966122d-02, 1.6931108491631d-01, 3.9536062671604d-01,
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-     |   5.9154602462490d-01, 1.3464515151115d+00, 1.1505261044155d+00,
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-     |  -6.5708620722619d-23,-7.3629594198091d-26,-2.8415345117750d-29,
-     |  -2.6815023348716d-33,-3.5682402103830d-38,-2.5374233700466d-44,
-     |  -1.3486426629617d-52,-3.3190652937745d-65,-2.2046620432399d-92/
-      data (pmn(lat,58,60), lat = 1,72)/
-     |   7.8027115706923d-95, 3.5287530184891d-67, 2.3961603816320d-54,
-     |   6.3371749639891d-46, 1.1520159431614d-39, 1.0653827094209d-34,
-     |   1.3453584274793d-30, 4.0620864778553d-27, 4.1555174915577d-24,
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-     |   3.7667708853046d-15, 1.8953560597592d-13, 6.6254901475829d-12,
-     |   1.6776420263325d-10, 3.1824653099940d-09, 4.6487117852360d-08,
-     |   5.3481331501942d-07, 4.9370438636421d-06, 3.7139085351734d-05,
-     |   2.3058824718067d-04, 1.1940689412126d-03, 5.2007443947687d-03,
-     |   1.9176862013971d-02, 6.0142261088039d-02, 1.6084461213228d-01,
-     |   3.6689467703140d-01, 7.1161804767616d-01, 1.1640498676399d+00,
-     |   1.5779835657051d+00, 1.7055441188619d+00, 1.3243729696100d+00,
-     |   4.3244840511579d-01,-6.4560500424021d-01,-1.3854435002243d+00,
-     |  -1.3854435002243d+00,-6.4560500424021d-01, 4.3244840511579d-01,
-     |   1.3243729696100d+00, 1.7055441188619d+00, 1.5779835657051d+00,
-     |   1.1640498676399d+00, 7.1161804767616d-01, 3.6689467703140d-01,
-     |   1.6084461213228d-01, 6.0142261088039d-02, 1.9176862013971d-02,
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-     |   3.7139085351735d-05, 4.9370438636422d-06, 5.3481331501943d-07,
-     |   4.6487117852360d-08, 3.1824653099940d-09, 1.6776420263325d-10,
-     |   6.6254901475828d-12, 1.8953560597591d-13, 3.7667708853047d-15,
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-     |   4.1555174915580d-24, 4.0620864778554d-27, 1.3453584274793d-30,
-     |   1.0653827094210d-34, 1.1520159431614d-39, 6.3371749639891d-46,
-     |   2.3961603816320d-54, 3.5287530184891d-67, 7.8027115706923d-95/
-      data (pmn(lat,59,60), lat = 1,72)/
-     |   2.2259226472792d-97, 3.0239383141772d-69, 3.4312412800789d-56,
-     |   1.2754678807716d-47, 2.9969009747366d-41, 3.4100736107710d-36,
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-     |   2.9977075662619d-16, 1.6620197163827d-14, 6.3804035004479d-13,
-     |   1.7700028378225d-11, 3.6728056668316d-10, 5.8636680026852d-09,
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-     |   4.1773753463507d-05, 2.3815852582198d-04, 1.1469057315042d-03,
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-     |  -2.1154497744589d-25,-1.8045179303591d-28,-5.1304590275726d-32,
-     |  -3.4100736107714d-36,-2.9969009747366d-41,-1.2754678807716d-47,
-     |  -3.4312412800789d-56,-3.0239383141772d-69,-2.2259226472792d-97/
-      data (pmn(lat,60,60), lat = 1,72)/
-     |  4.4337962969573d-100, 1.8093045989710d-71, 3.4304049669152d-58,
-     |   1.7920868914358d-49, 5.4418122781226d-43, 7.6173574779619d-38,
-     |   1.3651002832751d-33, 5.5918027134560d-30, 7.5097639700776d-27,
-     |   4.2026072197567d-24, 1.1586441434264d-21, 1.7770357505224d-19,
-     |   1.6605611555313d-17, 1.0137669656568d-15, 4.2706890012244d-14,
-     |   1.2968038704875d-12, 2.9403245117647d-11, 5.1241644892828d-10,
-     |   7.0301453480429d-09, 7.7467405305346d-08, 6.9729538856509d-07,
-     |   5.2008275235564d-06, 3.2537405780456d-05, 1.7253645339845d-04,
-     |   7.8244829389313d-04, 3.0580846956105d-03, 1.0368944749148d-02,
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-     |   6.9729538856512d-07, 7.7467405305347d-08, 7.0301453480431d-09,
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-     |   4.2706890012243d-14, 1.0137669656568d-15, 1.6605611555314d-17,
-     |   1.7770357505224d-19, 1.1586441434264d-21, 4.2026072197569d-24,
-     |   7.5097639700780d-27, 5.5918027134561d-30, 1.3651002832751d-33,
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-     |   3.4304049669152d-58, 1.8093045989710d-71,4.4337962969573d-100/
-      data (pmn(lat, 0,61), lat = 1,72)/
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-      data (pmn(lat, 5,61), lat = 1,72)/
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-      data (pmn(lat, 6,61), lat = 1,72)/
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-      data (pmn(lat,17,61), lat = 1,72)/
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-      data (pmn(lat,18,61), lat = 1,72)/
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-      data (pmn(lat,19,61), lat = 1,72)/
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-      data (pmn(lat,20,61), lat = 1,72)/
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-      data (pmn(lat,21,61), lat = 1,72)/
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-      data (pmn(lat,22,61), lat = 1,72)/
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-      data (pmn(lat,23,61), lat = 1,72)/
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-      data (pmn(lat,24,61), lat = 1,72)/
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-      data (pmn(lat,25,61), lat = 1,72)/
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-      data (pmn(lat,26,61), lat = 1,72)/
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-      data (pmn(lat,27,61), lat = 1,72)/
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-      data (pmn(lat,28,61), lat = 1,72)/
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-      data (pmn(lat,29,61), lat = 1,72)/
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-      data (pmn(lat,30,61), lat = 1,72)/
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-      data (pmn(lat,31,61), lat = 1,72)/
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-      data (pmn(lat,32,61), lat = 1,72)/
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-      data (pmn(lat,34,61), lat = 1,72)/
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-      data (pmn(lat,35,61), lat = 1,72)/
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-      data (pmn(lat,36,61), lat = 1,72)/
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-      data (pmn(lat,37,61), lat = 1,72)/
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-      data (pmn(lat,38,61), lat = 1,72)/
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-      data (pmn(lat,39,61), lat = 1,72)/
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-      data (pmn(lat,40,61), lat = 1,72)/
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-      data (pmn(lat,41,61), lat = 1,72)/
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-      data (pmn(lat,42,61), lat = 1,72)/
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-      data (pmn(lat,43,61), lat = 1,72)/
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-      data (pmn(lat,44,61), lat = 1,72)/
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-      data (pmn(lat,45,61), lat = 1,72)/
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-      data (pmn(lat,46,61), lat = 1,72)/
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-      data (pmn(lat,47,61), lat = 1,72)/
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-      data (pmn(lat,48,61), lat = 1,72)/
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-      data (pmn(lat,49,61), lat = 1,72)/
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-      data (pmn(lat,50,61), lat = 1,72)/
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-      data (pmn(lat,51,61), lat = 1,72)/
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-      data (pmn(lat,52,61), lat = 1,72)/
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-      data (pmn(lat,53,61), lat = 1,72)/
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-      data (pmn(lat,54,61), lat = 1,72)/
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-      data (pmn(lat,55,61), lat = 1,72)/
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-      data (pmn(lat,56,61), lat = 1,72)/
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-      data (pmn(lat,57,61), lat = 1,72)/
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-      data (pmn(lat,58,61), lat = 1,72)/
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-      data (pmn(lat,59,61), lat = 1,72)/
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-      data (pmn(lat,60,61), lat = 1,72)/
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-      data (pmn(lat,61,61), lat = 1,72)/
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-      data (pmn(lat, 0,62), lat = 1,72)/
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-      data (pmn(lat, 1,62), lat = 1,72)/
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-      data (pmn(lat, 2,62), lat = 1,72)/
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-      data (pmn(lat, 3,62), lat = 1,72)/
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-      data (pmn(lat, 5,62), lat = 1,72)/
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-      data (pmn(lat, 6,62), lat = 1,72)/
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-      data (pmn(lat, 7,62), lat = 1,72)/
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-      data (pmn(lat, 8,62), lat = 1,72)/
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-      data (pmn(lat, 9,62), lat = 1,72)/
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-      data (pmn(lat,10,62), lat = 1,72)/
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-      data (pmn(lat,11,62), lat = 1,72)/
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-     |   7.0816791101978d-01, 2.2228390989116d+00, 8.9583119741354d-01,
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-     |  -4.9877076151490d-02,-3.4557882119208d-04,-2.6625409266820d-09/
-      data (pmn(lat,12,62), lat = 1,72)/
-     |   1.4913849448112d-10, 5.9551063462055d-05, 1.5150078601308d-02,
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-     |   1.9441304700322d+00, 1.6642151112537d+00, 3.3412246371995d-01,
-     |   1.5150078601308d-02, 5.9551063462055d-05, 1.4913849448112d-10/
-      data (pmn(lat,13,62), lat = 1,72)/
-     |   7.6833317022537d-12, 9.4037854081185d-06, 4.1793550258496d-03,
-     |   1.4035711069839d-01, 1.0490732499048d+00, 2.2151002197344d+00,
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-     |  -7.8428059217818d-01, 6.1184280719209d-01,-3.0395422012687d-01,
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-     |  -2.2151002197344d+00,-1.0490732499048d+00,-1.4035711069839d-01,
-     |  -4.1793550258496d-03,-9.4037854081185d-06,-7.6833317022537d-12/
-      data (pmn(lat,14,62), lat = 1,72)/
-     |   3.6615511390823d-13, 1.3696457357659d-06, 1.0560960449258d-03,
-     |   5.3241588842647d-02, 5.7703441363709d-01, 1.9059263062055d+00,
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-     |   1.9359842927292d-01,-5.3699080765257d-01, 7.5854140160127d-01,
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-     |   1.9059263062056d+00, 5.7703441363709d-01, 5.3241588842647d-02,
-     |   1.0560960449258d-03, 1.3696457357659d-06, 3.6615511390823d-13/
-      data (pmn(lat,15,62), lat = 1,72)/
-     |   1.6220256672291d-14, 1.8500052276758d-07, 2.4615007983585d-04,
-     |   1.8429522058827d-02, 2.8303899508754d-01, 1.3638188896961d+00,
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-     |  -8.8399465858946d-01, 5.2707572301163d-01,-3.6917867040832d-02,
-     |  -4.3776048007136d-01, 7.6952282109344d-01,-8.8077968865259d-01,
-     |   7.5664178707302d-01,-4.4184842453099d-01, 2.4629610140596d-02,
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-     |  -2.4615007983585d-04,-1.8500052276758d-07,-1.6220256672291d-14/
-      data (pmn(lat,16,62), lat = 1,72)/
-     |   6.7073725371515d-16, 2.3281297146975d-08, 5.3219852883521d-05,
-     |   5.8689036258997d-03, 1.2564248048405d-01, 8.4782598733212d-01,
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-     |   8.4782598733213d-01, 1.2564248048405d-01, 5.8689036258997d-03,
-     |   5.3219852883521d-05, 2.3281297146975d-08, 6.7073725371515d-16/
-      data (pmn(lat,17,62), lat = 1,72)/
-     |   2.5985531704243d-17, 2.7405390029716d-09, 1.0725003069251d-05,
-     |   1.7306236223614d-03, 5.1016534801428d-02, 4.6940682892652d-01,
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-     |   9.7079153634757d-01,-8.3144481015265d-01, 4.2111962680661d-01,
-     |   1.0187946052667d-01,-5.6639737340526d-01, 8.3839753407313d-01,
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-     |  -8.3839753407313d-01, 5.6639737340526d-01,-1.0187946052667d-01,
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-     |  -1.0725003069251d-05,-2.7405390029716d-09,-2.5985531704243d-17/
-      data (pmn(lat,18,62), lat = 1,72)/
-     |   9.4618548540060d-19, 3.0279738077602d-10, 2.0226939872215d-06,
-     |   4.7507116270152d-04, 1.9102818190870d-02, 2.3522064586113d-01,
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-     |  -1.2123929732670d+00, 8.2002574127408d-01,-5.1677436924129d-03,
-     |  -7.1686951524642d-01, 1.0267047189372d+00,-8.6250683146999d-01,
-     |   3.6268879644340d-01, 2.3870877323227d-01,-7.1414295371491d-01,
-     |   9.1431420888628d-01,-7.9941475721888d-01, 4.3255563831590d-01,
-     |   5.4008252759072d-02,-5.0567868199216d-01, 7.9129484967123d-01,
-     |  -8.3675622419693d-01, 6.3995990935265d-01,-2.6571283686229d-01,
-     |  -1.7600151250859d-01, 5.6160202818224d-01,-7.8692541302531d-01,
-     |   7.9360788470044d-01,-5.8281788015843d-01, 2.1355853533079d-01,
-     |   2.1355853533079d-01,-5.8281788015843d-01, 7.9360788470044d-01,
-     |  -7.8692541302530d-01, 5.6160202818223d-01,-1.7600151250860d-01,
-     |  -2.6571283686230d-01, 6.3995990935266d-01,-8.3675622419693d-01,
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-     |   4.3255563831591d-01,-7.9941475721888d-01, 9.1431420888628d-01,
-     |  -7.1414295371489d-01, 2.3870877323226d-01, 3.6268879644341d-01,
-     |  -8.6250683147000d-01, 1.0267047189372d+00,-7.1686951524642d-01,
-     |  -5.1677436923986d-03, 8.2002574127408d-01,-1.2123929732670d+00,
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-     |   2.3522064586113d-01, 1.9102818190870d-02, 4.7507116270152d-04,
-     |   2.0226939872215d-06, 3.0279738077602d-10, 9.4618548540060d-19/
-      data (pmn(lat,19,62), lat = 1,72)/
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-      data (pmn(lat,20,62), lat = 1,72)/
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-      data (pmn(lat,21,62), lat = 1,72)/
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-      data (pmn(lat,22,62), lat = 1,72)/
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-      data (pmn(lat,23,62), lat = 1,72)/
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-      data (pmn(lat,24,62), lat = 1,72)/
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-      data (pmn(lat,25,62), lat = 1,72)/
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-      data (pmn(lat,26,62), lat = 1,72)/
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-      data (pmn(lat,27,62), lat = 1,72)/
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-      data (pmn(lat,28,62), lat = 1,72)/
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-      data (pmn(lat,29,62), lat = 1,72)/
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-      data (pmn(lat,30,62), lat = 1,72)/
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-     |   2.7583299049502d-07, 1.1946253069883d-09, 1.0008127483504d-12,
-     |   5.7906172247191d-17, 1.5991190114842d-23, 8.6756551078508d-38/
-      data (pmn(lat,31,62), lat = 1,72)/
-     |   1.6662312265604d-39, 9.2514805992056d-25, 5.6300003089262d-18,
-     |   1.3797696366195d-13, 2.1552136562300d-10, 6.2245618392755d-08,
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-     |  -5.6300003089262d-18,-9.2514805992056d-25,-1.6662312265604d-39/
-      data (pmn(lat,32,62), lat = 1,72)/
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-     |   5.2434075100440d-19, 5.1294341083023d-26, 3.0675802843945d-41/
-      data (pmn(lat,33,62), lat = 1,72)/
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-     |   2.3010921228255d-15, 6.1357261830295d-12, 2.7606353883823d-09,
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-     |  -4.6799667679563d-20,-2.7267107540122d-27,-5.4157554303526d-43/
-      data (pmn(lat,34,62), lat = 1,72)/
-     |   9.1718948343606d-45, 1.3901524516851d-28, 4.0045591533278d-21,
-     |   2.7862888651225d-16, 9.6936559976532d-13, 5.4334773777233d-10,
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-     |   4.0045591533278d-21, 1.3901524516851d-28, 9.1718948343606d-45/
-      data (pmn(lat,35,62), lat = 1,72)/
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-      data (pmn(lat,36,62), lat = 1,72)/
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-      data (pmn(lat,37,62), lat = 1,72)/
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-      data (pmn(lat,38,62), lat = 1,72)/
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-     |   1.4136019673706d-25, 6.2047067180229d-34, 4.9926083869611d-52/
-      data (pmn(lat,39,62), lat = 1,72)/
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-     |   3.8462388599465d-21, 5.0060122811067d-17, 8.2990216206740d-14,
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-      data (pmn(lat,40,62), lat = 1,72)/
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-     |   3.6139839666585d-22, 6.1133831032605d-18, 1.2560002891986d-14,
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-      data (pmn(lat,41,62), lat = 1,72)/
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-     |   3.2537178158765d-23, 7.1500198388601d-19, 1.8193364621323d-15,
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-      data (pmn(lat,42,62), lat = 1,72)/
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-      data (pmn(lat,43,62), lat = 1,72)/
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-      data (pmn(lat,44,62), lat = 1,72)/
-     |   1.8088917862165d-63, 1.6630344452809d-42, 8.3643206263088d-33,
-     |   1.8282314706860d-26, 8.7852731643762d-22, 4.2325638874179d-18,
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-     |   4.2325638874182d-18, 8.7852731643762d-22, 1.8282314706860d-26,
-     |   8.3643206263088d-33, 1.6630344452809d-42, 1.8088917862165d-63/
-      data (pmn(lat,45,62), lat = 1,72)/
-     |   1.9248654030581d-65, 5.3202313179961d-44, 4.4787874451490d-34,
-     |   1.3794163405780d-27, 8.5972760116837d-23, 5.1191448134412d-19,
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-     |  -5.1191448134416d-19,-8.5972760116837d-23,-1.3794163405780d-27,
-     |  -4.4787874451490d-34,-5.3202313179961d-44,-1.9248654030581d-65/
-      data (pmn(lat,46,62), lat = 1,72)/
-     |   1.9563514376179d-67, 1.6254930461949d-45, 2.2900648693542d-35,
-     |   9.9360303775955d-29, 8.0292683822084d-24, 5.9062604518970d-20,
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-     |   9.7121640197305d-01,-3.7800069337137d-01,-8.1968815842873d-01,
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-     |   1.5289385532920d+00, 1.3802292514822d+00, 7.6589188001633d-01,
-     |   2.9441297563712d-01, 8.1712634601051d-02, 1.6586758739394d-02,
-     |   2.4563666894832d-03, 2.6180610480250d-04, 1.9612133346970d-05,
-     |   9.9744793304948d-07, 3.2831074450486d-08, 6.5517262952403d-10,
-     |   7.2473635593402d-12, 3.9196353108509d-14, 8.6441412167878d-17,
-     |   5.9062604518975d-20, 8.0292683822084d-24, 9.9360303775955d-29,
-     |   2.2900648693542d-35, 1.6254930461949d-45, 1.9563514376179d-67/
-      data (pmn(lat,47,62), lat = 1,72)/
-     |   1.8966463700236d-69, 4.7369783303988d-47, 1.1166917692887d-36,
-     |   6.8238766501169d-30, 7.1475535061682d-25, 6.4926002533817d-21,
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-     |  -6.4926002533823d-21,-7.1475535061682d-25,-6.8238766501169d-30,
-     |  -1.1166917692887d-36,-4.7369783303988d-47,-1.8966463700236d-69/
-      data (pmn(lat,48,62), lat = 1,72)/
-     |   1.7512475991742d-71, 1.3146495605050d-48, 5.1850341448407d-38,
-     |   4.4616023060398d-31, 6.0555634906683d-26, 6.7901070356815d-22,
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-     |   2.5594534056543d-11, 1.6424738653086d-09, 6.3209872345458d-08,
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-     |   2.6313751702851d-03, 1.6556272704817d-02, 7.7710733668403d-02,
-     |   2.7253738203207d-01, 7.0605689939010d-01, 1.3049625288008d+00,
-     |   1.5656781540032d+00, 8.3121248169542d-01,-6.2534673727104d-01,
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-     |   3.0858386984066d-04, 2.6188922868134d-05, 1.5637601525373d-06,
-     |   6.3209872345458d-08, 1.6424738653086d-09, 2.5594534056543d-11,
-     |   2.1760761830648d-13, 8.8481383952150d-16, 1.4228252727093d-18,
-     |   6.7901070356821d-22, 6.0555634906683d-26, 4.4616023060398d-31,
-     |   5.1850341448407d-38, 1.3146495605050d-48, 1.7512475991742d-71/
-      data (pmn(lat,49,62), lat = 1,72)/
-     |   1.5372128261495d-73, 3.4682967756062d-50, 2.2882930816937d-39,
-     |   2.7720850729189d-32, 4.8740492357148d-27, 6.7440310673163d-23,
-     |   1.6897819144218d-19, 1.2295646480552d-16, 3.4838980334326d-14,
-     |   4.6680297476147d-12, 3.3846712274689d-10, 1.4632049190865d-08,
-     |   4.0506081674532d-07, 7.5751422011600d-06, 9.9634036951151d-05,
-     |   9.4976391640109d-04, 6.7047455833973d-03, 3.5542156894621d-02,
-     |   1.4232950418268d-01, 4.2892315467223d-01, 9.5446745734376d-01,
-     |   1.4919423110327d+00, 1.4176643171329d+00, 3.1141142516365d-01,
-     |  -1.0221856702453d+00,-9.6472603792856d-01, 4.9899831615567d-01,
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-     |   2.6902505971919d-01, 9.8855630083646d-01,-3.9404131998217d-01,
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-     |  -3.4838980334328d-14,-1.2295646480552d-16,-1.6897819144218d-19,
-     |  -6.7440310673169d-23,-4.8740492357148d-27,-2.7720850729189d-32,
-     |  -2.2882930816937d-39,-3.4682967756062d-50,-1.5372128261495d-73/
-      data (pmn(lat,50,62), lat = 1,72)/
-     |   1.2799661056912d-75, 8.6790971195128d-52, 9.5779181406867d-41,
-     |   1.6332067428539d-33, 3.7190637806625d-28, 6.3478600668790d-24,
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-     |   8.0496408869544d-13, 6.5884998544917d-11, 3.1958226391342d-09,
-     |   9.8859310548160d-08, 2.0608671468084d-06, 3.0189964792476d-05,
-     |   3.2078660894342d-04, 2.5310178829767d-03, 1.5071890665230d-02,
-     |   6.8372825249660d-02, 2.3664787887565d-01, 6.1925734898121d-01,
-     |   1.1920457195252d+00, 1.5740973998258d+00, 1.1313782828923d+00,
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-     |  -8.9836411929481d-01, 5.7487479707550d-01, 8.6767470795161d-01,
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-     |   7.0407260604502d-01,-7.9707396049053d-01,-6.1567190851241d-01,
-     |   8.6767470795161d-01, 5.7487479707550d-01,-8.9836411929482d-01,
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-     |  -5.9410490438019d-01,-1.2157587156608d+00,-1.9987215631942d-01,
-     |   1.1313782828923d+00, 1.5740973998258d+00, 1.1920457195252d+00,
-     |   6.1925734898122d-01, 2.3664787887565d-01, 6.8372825249661d-02,
-     |   1.5071890665230d-02, 2.5310178829767d-03, 3.2078660894342d-04,
-     |   3.0189964792475d-05, 2.0608671468084d-06, 9.8859310548163d-08,
-     |   3.1958226391342d-09, 6.5884998544917d-11, 8.0496408869547d-13,
-     |   5.2777078570745d-15, 1.6177525958791d-17, 1.9010521566228d-20,
-     |   6.3478600668796d-24, 3.7190637806625d-28, 1.6332067428539d-33,
-     |   9.5779181406867d-41, 8.6790971195128d-52, 1.2799661056912d-75/
-      data (pmn(lat,51,62), lat = 1,72)/
-     |   1.0083443725176d-77, 2.0547278556515d-53, 3.7922986436633d-42,
-     |   9.1006401317718d-35, 2.6833024681074d-29, 5.6479750818142d-25,
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-     |   1.3092969002247d-13, 1.2086545150744d-11, 6.5713110287127d-10,
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-      data (pmn(lat,52,62), lat = 1,72)/
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-     |   4.7812829767432d-36, 1.8249443429673d-30, 4.7356074726674d-26,
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-     |   1.4159471531843d-43, 4.5876879122854d-55, 7.4920759402687d-80/
-      data (pmn(lat,53,62), lat = 1,72)/
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-     |   2.3594386089574d-37, 1.1655455896986d-31, 3.7276855928231d-27,
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-     |  -4.9665018452429d-45,-9.6235772691144d-57,-5.2302250304394d-82/
-      data (pmn(lat,54,62), lat = 1,72)/
-     |   3.4144397364025d-84, 1.8877282547113d-58, 1.6288188355847d-46,
-     |   1.0884988673923d-38, 6.9578829763085d-33, 2.7419465201276d-28,
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-     |   3.8534230423456d-12, 5.0607450842513d-14, 3.8384983313864d-16,
-     |   1.5088590145429d-18, 2.6461419545976d-21, 1.6697787531997d-24,
-     |   2.7419465201278d-28, 6.9578829763085d-33, 1.0884988673923d-38,
-     |   1.6288188355847d-46, 1.8877282547113d-58, 3.4144397364025d-84/
-      data (pmn(lat,55,62), lat = 1,72)/
-     |   2.0722151584150d-86, 3.4422248302060d-60, 4.9653788957120d-48,
-     |   4.6670734031409d-40, 3.8595823180279d-34, 1.8736493126087d-29,
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-     |  -4.9653788957120d-48,-3.4422248302060d-60,-2.0722151584150d-86/
-      data (pmn(lat,56,62), lat = 1,72)/
-     |   1.1603117813394d-88, 5.7908855481068d-62, 1.3963706160733d-49,
-     |   1.8457510654444d-41, 1.9744121070794d-35, 1.1804623273793d-30,
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-     |   2.3927701856882d-02, 8.5817626984568d-02, 2.4946892990521d-01,
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-     |   1.1804623273794d-30, 1.9744121070794d-35, 1.8457510654444d-41,
-     |   1.3963706160733d-49, 5.7908855481068d-62, 1.1603117813394d-88/
-      data (pmn(lat,57,62), lat = 1,72)/
-     |   5.9345067713425d-91, 8.8982231040315d-64, 3.5864618931153d-51,
-     |   6.6659950580050d-43, 9.2220035732728d-37, 6.7890902990742d-32,
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-     |   2.0056803356612d-08, 3.2032648073334d-07, 3.9092879283090d-06,
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-     |  -3.5864618931153d-51,-8.8982231040315d-64,-5.9345067713425d-91/
-      data (pmn(lat,58,62), lat = 1,72)/
-     |   2.7344240709616d-93, 1.2317321906202d-65, 8.2976076869047d-53,
-     |   2.1683378353720d-44, 3.8789425797423d-38, 3.5154613920304d-33,
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-     |   9.5018740583924d-14, 4.5072503424465d-12, 1.4763043193131d-10,
-     |   3.4797636837989d-09, 6.1012949916994d-08, 8.1738016152860d-07,
-     |   8.5506316790722d-06, 7.1088893516747d-05, 4.7642067219780d-04,
-     |   2.6025905689181d-03, 1.1686230423950d-02, 4.3372839536002d-02,
-     |   1.3339531489894d-01, 3.3956625045320d-01, 7.1079890553304d-01,
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-     |   4.3372839536003d-02, 1.1686230423950d-02, 2.6025905689181d-03,
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-     |   1.3128461659519d-15, 1.1119450420357d-17, 5.2900198666168d-20,
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-     |   3.5154613920308d-33, 3.8789425797423d-38, 2.1683378353720d-44,
-     |   8.2976076869047d-53, 1.2317321906202d-65, 2.7344240709616d-93/
-      data (pmn(lat,59,62), lat = 1,72)/
-     |   1.1124184361985d-95, 1.5053399153982d-67, 1.6947787720783d-54,
-     |   6.2260685130745d-46, 1.4399933271696d-39, 1.6063033277645d-34,
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-     |   4.3616115800528d-21, 1.0288423932175d-18, 1.3534256550058d-16,
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-      data (pmn(lat,60,62), lat = 1,72)/
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-      data (pmn(lat,61,62), lat = 1,72)/
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-      data (pmn(lat,62,62), lat = 1,72)/
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-      data (pmn(lat, 0,63), lat = 1,72)/
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-      data (pmn(lat, 1,63), lat = 1,72)/
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-      data (pmn(lat, 2,63), lat = 1,72)/
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-      data (pmn(lat, 3,63), lat = 1,72)/
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-      data (pmn(lat, 4,63), lat = 1,72)/
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-      data (pmn(lat,12,63), lat = 1,72)/
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-      data (pmn(lat,15,63), lat = 1,72)/
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-      data (pmn(lat,16,63), lat = 1,72)/
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-      data (pmn(lat,17,63), lat = 1,72)/
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-      data (pmn(lat,18,63), lat = 1,72)/
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-      data (pmn(lat,19,63), lat = 1,72)/
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-      data (pmn(lat,20,63), lat = 1,72)/
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-      data (pmn(lat,21,63), lat = 1,72)/
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-      data (pmn(lat,22,63), lat = 1,72)/
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-      data (pmn(lat,23,63), lat = 1,72)/
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-      data (pmn(lat,24,63), lat = 1,72)/
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-      data (pmn(lat,25,63), lat = 1,72)/
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-      data (pmn(lat,26,63), lat = 1,72)/
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-      data (pmn(lat,27,63), lat = 1,72)/
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-      data (pmn(lat,28,63), lat = 1,72)/
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-      data (pmn(lat,29,63), lat = 1,72)/
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-      data (pmn(lat,30,63), lat = 1,72)/
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-     |   1.6529525607090d-12, 1.9408746149399d-09, 4.3868174849135d-07,
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-      data (pmn(lat,31,63), lat = 1,72)/
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-     |   2.3284280693647d-13, 3.5797863055319d-10, 1.0128970037363d-07,
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-     |   9.6117813199239d-18, 1.5915082606533d-24, 2.8771830829780d-39/
-      data (pmn(lat,32,63), lat = 1,72)/
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-     |   3.1406987359066d-14, 6.3152489242105d-11, 2.2334518049203d-08,
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-     |  -9.1466118008150d-19,-9.0139523368787d-26,-5.4103624292492d-41/
-      data (pmn(lat,33,63), lat = 1,72)/
-     |   9.7608875203719d-43, 4.8970179731391d-27, 8.3451268346058d-20,
-     |   4.0588235097668d-15, 1.0663383034904d-11, 4.7070864523793d-09,
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-     |   8.3451268346058d-20, 4.8970179731391d-27, 9.7608875203719d-43/
-      data (pmn(lat,34,63), lat = 1,72)/
-     |   1.6900777630239d-44, 2.5527993460673d-28, 7.3029357020983d-21,
-     |   5.0279133844801d-16, 1.7243116997749d-12, 9.4885194081631d-10,
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-     |  -7.3029357020983d-21,-2.5527993460673d-28,-1.6900777630239d-44/
-      data (pmn(lat,35,63), lat = 1,72)/
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-     |   5.9723902252398d-17, 2.6714579031035d-13, 1.8304761240776d-10,
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-     |   1.0822547733216d+00, 1.2486634435318d-01,-1.0425026117723d+00,
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-     |   1.8304761240778d-10, 2.6714579031035d-13, 5.9723902252398d-17,
-     |   6.1318060029327d-22, 1.2772904349272d-29, 2.8092522922521d-46/
-      data (pmn(lat,36,63), lat = 1,72)/
-     |   4.4834875895456d-48, 6.1352400020203d-31, 4.9408317362524d-23,
-     |   6.8045173570003d-18, 3.9668043987854d-14, 3.3809858280166d-11,
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-      data (pmn(lat,37,63), lat = 1,72)/
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-      data (pmn(lat,38,63), lat = 1,72)/
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-      data (pmn(lat,39,63), lat = 1,72)/
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-      data (pmn(lat,40,63), lat = 1,72)/
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-      data (pmn(lat,41,63), lat = 1,72)/
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-      data (pmn(lat,42,63), lat = 1,72)/
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-      data (pmn(lat,43,63), lat = 1,72)/
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-      data (pmn(lat,44,63), lat = 1,72)/
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-     |  -1.9840735675454d-32,-3.9660544680567d-42,-4.3254351506589d-63/
-      data (pmn(lat,45,63), lat = 1,72)/
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-     |   3.3513453782432d-27, 2.0665433583351d-22, 1.2139480093539d-18,
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-     |   6.4094836120575d-01,-9.5769413682604d-01,-9.4760081363235d-01,
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-     |   8.6615542029498d-11, 5.5353023797758d-13, 1.4593843189424d-15,
-     |   1.2139480093540d-18, 2.0665433583351d-22, 3.3513453782432d-27,
-     |   1.0968013750462d-33, 1.3097154588414d-43, 4.7509588580196d-65/
-      data (pmn(lat,46,63), lat = 1,72)/
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-     |   2.4963297551084d-28, 1.9963157592128d-23, 1.4491770131044d-19,
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-     |  -1.4491770131045d-19,-1.9963157592128d-23,-2.4963297551084d-28,
-     |  -5.7983566585895d-35,-4.1368709232580d-45,-4.9916480119576d-67/
-      data (pmn(lat,47,63), lat = 1,72)/
-     |   5.0111095197129d-69, 1.2484234764413d-46, 2.9282707446309d-36,
-     |   1.7758787197353d-29, 1.8412105224176d-24, 1.6510126751269d-20,
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-     |   3.1153729413268d-10, 1.7170487378714d-08, 5.6836879075316d-07,
-     |   1.2080997324022d-05, 1.7320108389703d-04, 1.7357530998719d-03,
-     |   1.2463822680593d-02, 6.5073701183443d-02, 2.4797545467835d-01,
-     |   6.8231358664663d-01, 1.3066267394725d+00, 1.5691319723800d+00,
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-     |   3.0943219848952d-01, 1.0915209084304d+00,-2.7605023477599d-01,
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-     |  -7.6814395258418d-01,-4.4632313535146d-01, 9.6444345918785d-01,
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-     |   5.8046293755803d-01,-9.1652029322562d-01,-6.3361501617439d-02,
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-     |   1.5691319723800d+00, 1.3066267394725d+00, 6.8231358664663d-01,
-     |   2.4797545467835d-01, 6.5073701183443d-02, 1.2463822680593d-02,
-     |   1.7357530998719d-03, 1.7320108389703d-04, 1.2080997324022d-05,
-     |   5.6836879075316d-07, 1.7170487378714d-08, 3.1153729413269d-10,
-     |   3.0973009806583d-12, 1.4840832807153d-14, 2.8467765621223d-17,
-     |   1.6510126751270d-20, 1.8412105224176d-24, 1.7758787197353d-29,
-     |   2.9282707446309d-36, 1.2484234764413d-46, 5.0111095197129d-69/
-      data (pmn(lat,48,63), lat = 1,72)/
-     |   4.8003992787316d-71, 3.5948028565205d-48, 1.4108447299680d-37,
-     |   1.2050135086139d-30, 1.6192533737292d-25, 1.7928614618308d-21,
-     |   3.6994394192976d-18, 2.2588913636804d-15, 5.4380845676734d-13,
-     |   6.2405295846567d-11, 3.8933923164263d-09, 1.4510052460552d-07,
-     |   3.4610500192783d-06, 5.5608986225743d-05, 6.2498474515281d-04,
-     |   5.0480869781738d-03, 2.9826247341945d-02, 1.2998800390354d-01,
-     |   4.1664140114641d-01, 9.6245565013498d-01, 1.5147952877634d+00,
-     |   1.3668839673181d+00, 1.1838360399258d-01,-1.1487826078216d+00,
-     |  -7.1080418242090d-01, 8.3538658617934d-01, 7.9306778064675d-01,
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-     |   9.7533301480278d-01,-4.0536556687608d-01,-7.7689740427201d-01,
-     |   7.7689740427201d-01, 4.0536556687609d-01,-9.7533301480278d-01,
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-     |  -1.4510052460552d-07,-3.8933923164263d-09,-6.2405295846569d-11,
-     |  -5.4380845676737d-13,-2.2588913636804d-15,-3.6994394192976d-18,
-     |  -1.7928614618309d-21,-1.6192533737292d-25,-1.2050135086139d-30,
-     |  -1.4108447299680d-37,-3.5948028565205d-48,-4.8003992787316d-71/
-      data (pmn(lat,49,63), lat = 1,72)/
-     |   4.3812254431789d-73, 9.8613073940829d-50, 6.4749394492309d-39,
-     |   7.7870045736918d-32, 1.3558266579819d-26, 1.8529439152434d-22,
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-     |   1.1866427547079d-11, 8.3714044002676d-10, 3.5080014478295d-08,
-     |   9.3745049109453d-07, 1.6844703968898d-05, 2.1173379081112d-04,
-     |   1.9167013365302d-03, 1.2750487667649d-02, 6.3073420941345d-02,
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-     |   1.5813893653832d+00, 9.7419984141823d-01,-4.7889286227607d-01,
-     |  -1.2315003229375d+00,-1.5738111926577d-01, 1.1011437601682d+00,
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-     |   1.0298774487693d+00, 2.1824244199204d-03,-1.0038610950621d+00,
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-     |   3.5080014478295d-08, 8.3714044002676d-10, 1.1866427547080d-11,
-     |   9.0713458188947d-14, 3.2689032748919d-16, 4.5733781624533d-19,
-     |   1.8529439152436d-22, 1.3558266579819d-26, 7.7870045736918d-32,
-     |   6.4749394492309d-39, 9.8613073940829d-50, 4.3812254431789d-73/
-      data (pmn(lat,50,63), lat = 1,72)/
-     |   3.8026396992686d-75, 2.5723995868900d-51, 2.8254159419507d-40,
-     |   4.7836113785612d-33, 1.0789121668461d-27, 1.8193726920376d-23,
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-     |   2.1385084633296d-12, 1.7042598471615d-10, 8.0203852588289d-09,
-     |   2.3976453803162d-07, 4.8090817209373d-06, 6.7444369217654d-05,
-     |   6.8209064626665d-04, 5.0867897597910d-03, 2.8386075636379d-02,
-     |   1.1933791341583d-01, 3.7695482013654d-01, 8.7949544530548d-01,
-     |   1.4483613116648d+00, 1.4818537389084d+00, 4.6782248653349d-01,
-     |  -9.3218011955041d-01,-1.0521001831036d+00, 3.7653272065285d-01,
-     |   1.1045738919774d+00,-1.6610264490413d-01,-1.0648675349923d+00,
-     |   1.8922746000071d-01, 1.0112964865714d+00,-3.4569114758366d-01,
-     |  -9.2000029036790d-01, 5.5986422708378d-01, 7.6637809558610d-01,
-     |  -7.6637809558610d-01,-5.5986422708378d-01, 9.2000029036790d-01,
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-     |  -1.8193726920378d-23,-1.0789121668461d-27,-4.7836113785612d-33,
-     |  -2.8254159419507d-40,-2.5723995868900d-51,-3.8026396992686d-75/
-      data (pmn(lat,51,63), lat = 1,72)/
-     |   3.1317876045104d-77, 6.3669969663593d-53, 1.1696884276947d-41,
-     |   2.7874312213087d-34, 8.1418547559255d-29, 1.6935457020389d-24,
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-     |   3.6453502023224d-13, 3.2788290932755d-11, 1.7310015050762d-09,
-     |   5.7809454939909d-08, 1.2921235483850d-06, 2.0175066539592d-05,
-     |   2.2732195770746d-04, 1.8935277906628d-03, 1.1859259045404d-02,
-     |   5.6408125404241d-02, 2.0423786802446d-01, 5.5848053932245d-01,
-     |   1.1247569221831d+00, 1.5654858579820d+00, 1.2322032474143d+00,
-     |  -5.6082937254581d-02,-1.1851416484494d+00,-7.0731825062820d-01,
-     |   7.8423862832235d-01, 9.2134484204581d-01,-5.6236248961544d-01,
-     |  -9.4377709003341d-01, 5.2028110597023d-01, 8.9896517889558d-01,
-     |  -5.8751964188191d-01,-8.1400171289084d-01, 7.0108450701520d-01,
-     |   7.0108450701520d-01,-8.1400171289084d-01,-5.8751964188191d-01,
-     |   8.9896517889558d-01, 5.2028110597023d-01,-9.4377709003341d-01,
-     |  -5.6236248961544d-01, 9.2134484204581d-01, 7.8423862832236d-01,
-     |  -7.0731825062820d-01,-1.1851416484494d+00,-5.6082937254589d-02,
-     |   1.2322032474143d+00, 1.5654858579820d+00, 1.1247569221831d+00,
-     |   5.5848053932246d-01, 2.0423786802446d-01, 5.6408125404242d-02,
-     |   1.1859259045404d-02, 1.8935277906629d-03, 2.2732195770746d-04,
-     |   2.0175066539592d-05, 1.2921235483850d-06, 5.7809454939911d-08,
-     |   1.7310015050762d-09, 3.2788290932755d-11, 3.6453502023225d-13,
-     |   2.1496241215976d-15, 5.8410153348556d-18, 5.9730045917540d-21,
-     |   1.6935457020390d-24, 8.1418547559255d-29, 2.7874312213087d-34,
-     |   1.1696884276947d-41, 6.3669969663593d-53, 3.1317876045104d-77/
-      data (pmn(lat,52,63), lat = 1,72)/
-     |   2.4410615576314d-79, 1.4913731795921d-54, 4.5821071747911d-43,
-     |   1.5366887469893d-35, 5.8115633990527d-30, 1.4906425598871d-25,
-     |   6.2809865661045d-22, 7.1792304439733d-19, 3.0400124948939d-16,
-     |   5.8634924268564d-14, 5.9474179487015d-12, 3.5187342683436d-10,
-     |   1.3111784404603d-08, 3.2608505775036d-07, 5.6576750184122d-06,
-     |   7.0849127844290d-05, 6.5706503685349d-04, 4.5988394574433d-03,
-     |   2.4598107584386d-02, 1.0115838650022d-01, 3.1930189920286d-01,
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-      data (pmn(lat,53,63), lat = 1,72)/
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-     |   1.6931784693648d-44, 3.2955353582465d-56, 1.7950461911004d-81/
-      data (pmn(lat,54,63), lat = 1,72)/
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-     |  -5.8792645842093d-46,-6.8437069347769d-58,-1.2405651609118d-83/
-      data (pmn(lat,55,63), lat = 1,72)/
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-     |   1.7830313045547d-39, 1.4617712982082d-33, 7.0189080303451d-29,
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-     |   5.8921614186160d-19, 9.1628615618000d-22, 5.0327948422844d-25,
-     |   7.0189080303458d-29, 1.4617712982082d-33, 1.7830313045547d-39,
-     |   1.9093271755928d-47, 1.3293354675877d-59, 8.0197609620145d-86/
-      data (pmn(lat,56,63), lat = 1,72)/
-     |   4.8209404917878d-88, 2.4009726682962d-61, 5.7651235805099d-49,
-     |   7.5721263909819d-41, 8.0311196719398d-35, 4.7503005013520d-30,
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-     |  -5.7651235805099d-49,-2.4009726682962d-61,-4.8209404917878d-88/
-      data (pmn(lat,57,63), lat = 1,72)/
-     |   2.6744482940447d-90, 4.0017858998365d-63, 1.6062546292344d-50,
-     |   2.9668705822890d-42, 4.0702280489331d-36, 2.9649742075001d-31,
-     |   3.0257020949221d-27, 7.4993814302642d-24, 6.3571589068324d-21,
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-     |   2.9649742075004d-31, 4.0702280489331d-36, 2.9668705822890d-42,
-     |   1.6062546292344d-50, 4.0017858998365d-63, 2.6744482940447d-90/
-      data (pmn(lat,58,63), lat = 1,72)/
-     |   1.3555328082089d-92, 6.0936389420441d-65, 4.0882906759417d-52,
-     |   1.0618133919095d-43, 1.8839021947680d-37, 1.6897610585140d-32,
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-     |   2.3850999912122d-19, 4.9040023912723d-17, 5.6486358378409d-15,
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-     |   1.3157716522430d-08, 2.2140644089620d-07, 2.8345628814785d-06,
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-     |   7.1246134725731d-03, 2.9592566274092d-02, 1.0048320274792d-01,
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-     |  -4.0882906759417d-52,-6.0936389420441d-65,-1.3555328082089d-92/
-      data (pmn(lat,59,63), lat = 1,72)/
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-     |   3.4234903396911d-45, 7.8541847009441d-39, 8.6725193727797d-34,
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-     |   2.2115592280546d-20, 5.1052503002344d-18, 6.5553883656469d-16,
-     |   5.1175484683988d-14, 2.5998936129546d-12, 9.0642271247176d-11,
-     |   2.2617893446353d-09, 4.1779699337857d-08, 5.8710100527896d-07,
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-     |   2.1820322122098d-03, 1.0105771100611d-02, 3.8583974548715d-02,
-     |   1.2177755384924d-01, 3.1741653120431d-01, 6.7904153426938d-01,
-     |   1.1745979072799d+00, 1.5902799131223d+00, 1.5558681828031d+00,
-     |   8.1528186498307d-01,-3.9155305658513d-01,-1.2794104784298d+00,
-     |  -1.1020535329784d+00, 4.7906399044672d-02, 1.1421854548018d+00,
-     |   1.1421854548018d+00, 4.7906399044676d-02,-1.1020535329784d+00,
-     |  -1.2794104784298d+00,-3.9155305658513d-01, 8.1528186498307d-01,
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-     |   3.8583974548715d-02, 1.0105771100611d-02, 2.1820322122098d-03,
-     |   3.8616241575841d-04, 5.5535539445081d-05, 6.4167158746650d-06,
-     |   5.8710100527896d-07, 4.1779699337858d-08, 2.2617893446353d-09,
-     |   9.0642271247174d-11, 2.5998936129546d-12, 5.1175484683990d-14,
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-     |   4.7307931772819d-23, 4.2400752842437d-26, 1.2582190696637d-29,
-     |   8.6725193727806d-34, 7.8541847009441d-39, 3.4234903396911d-45,
-     |   9.3754153596122d-54, 8.3609157635172d-67, 6.1909374968505d-95/
-      data (pmn(lat,60,63), lat = 1,72)/
-     |   2.4970041845426d-97, 1.0130524913689d-68, 1.8984929391080d-55,
-     |   9.7456806791742d-47, 2.8906887578053d-40, 3.9286172271314d-35,
-     |   6.7935439211813d-31, 2.6682838658345d-27, 3.4137028552522d-24,
-     |   1.8076388743328d-21, 4.6826997525931d-19, 6.6991760945072d-17,
-     |   5.7946512997455d-15, 3.2481919040179d-13, 1.2456627226204d-11,
-     |   3.4118485367077d-10, 6.9093610430071d-09, 1.0640238720296d-07,
-     |   1.2750036785257d-06, 1.2114482802731d-05, 9.2690506665539d-05,
-     |   5.7828712170709d-04, 2.9713554488548d-03, 1.2669403597889d-02,
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-      data (pmn(lat, 6,65), lat = 1,72)/
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-      data (pmn(lat, 7,65), lat = 1,72)/
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-      data (pmn(lat, 8,65), lat = 1,72)/
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-      data (pmn(lat, 9,65), lat = 1,72)/
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-      data (pmn(lat,10,65), lat = 1,72)/
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-      data (pmn(lat,11,65), lat = 1,72)/
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-      data (pmn(lat,14,65), lat = 1,72)/
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-      data (pmn(lat,15,65), lat = 1,72)/
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-      data (pmn(lat,16,65), lat = 1,72)/
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-      data (pmn(lat,17,65), lat = 1,72)/
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-      data (pmn(lat,18,65), lat = 1,72)/
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-      data (pmn(lat,19,65), lat = 1,72)/
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-      data (pmn(lat,22,65), lat = 1,72)/
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-      data (pmn(lat,23,65), lat = 1,72)/
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-      data (pmn(lat,24,65), lat = 1,72)/
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-      data (pmn(lat,25,65), lat = 1,72)/
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-      data (pmn(lat,26,65), lat = 1,72)/
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-      data (pmn(lat,27,65), lat = 1,72)/
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-      data (pmn(lat,28,65), lat = 1,72)/
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-      data (pmn(lat,29,65), lat = 1,72)/
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-      data (pmn(lat,30,65), lat = 1,72)/
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-      data (pmn(lat,31,65), lat = 1,72)/
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-      data (pmn(lat,32,65), lat = 1,72)/
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-      data (pmn(lat,33,65), lat = 1,72)/
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-      data (pmn(lat,34,65), lat = 1,72)/
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-      data (pmn(lat,35,65), lat = 1,72)/
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-      data (pmn(lat,36,65), lat = 1,72)/
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-      data (pmn(lat,37,65), lat = 1,72)/
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-      data (pmn(lat,38,65), lat = 1,72)/
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-      data (pmn(lat,39,65), lat = 1,72)/
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-      data (pmn(lat,40,65), lat = 1,72)/
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-      data (pmn(lat,41,65), lat = 1,72)/
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-      data (pmn(lat,42,65), lat = 1,72)/
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-      data (pmn(lat,43,65), lat = 1,72)/
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-      data (pmn(lat,44,65), lat = 1,72)/
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-      data (pmn(lat,45,65), lat = 1,72)/
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-      data (pmn(lat,46,65), lat = 1,72)/
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-      data (pmn(lat,47,65), lat = 1,72)/
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-      data (pmn(lat,48,65), lat = 1,72)/
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-      data (pmn(lat,49,65), lat = 1,72)/
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-      data (pmn(lat,50,65), lat = 1,72)/
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-      data (pmn(lat,51,65), lat = 1,72)/
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-      data (pmn(lat,52,65), lat = 1,72)/
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-      data (pmn(lat,53,65), lat = 1,72)/
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-      data (pmn(lat,54,65), lat = 1,72)/
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-      data (pmn(lat,55,65), lat = 1,72)/
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-      data (pmn(lat,56,65), lat = 1,72)/
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-      data (pmn(lat,57,65), lat = 1,72)/
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-      data (pmn(lat,58,65), lat = 1,72)/
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-      data (pmn(lat,59,65), lat = 1,72)/
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-      data (pmn(lat,11,66), lat = 1,72)/
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-      data (pmn(lat,12,66), lat = 1,72)/
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-      data (pmn(lat,13,66), lat = 1,72)/
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-      data (pmn(lat,14,66), lat = 1,72)/
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-      data (pmn(lat,15,66), lat = 1,72)/
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-      data (pmn(lat,16,66), lat = 1,72)/
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-      data (pmn(lat,17,66), lat = 1,72)/
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-      data (pmn(lat,21,66), lat = 1,72)/
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-      data (pmn(lat,22,66), lat = 1,72)/
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-      data (pmn(lat,23,66), lat = 1,72)/
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-      data (pmn(lat,24,66), lat = 1,72)/
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-      data (pmn(lat,25,66), lat = 1,72)/
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-      data (pmn(lat,26,66), lat = 1,72)/
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-      data (pmn(lat,28,66), lat = 1,72)/
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-      data (pmn(lat,29,66), lat = 1,72)/
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-      data (pmn(lat,30,66), lat = 1,72)/
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-      data (pmn(lat,31,66), lat = 1,72)/
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-      data (pmn(lat,32,66), lat = 1,72)/
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-      data (pmn(lat,33,66), lat = 1,72)/
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-      data (pmn(lat,39,66), lat = 1,72)/
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-      data (pmn(lat,44,66), lat = 1,72)/
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-      data (pmn(lat,45,66), lat = 1,72)/
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-      data (pmn(lat,46,66), lat = 1,72)/
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-      data (pmn(lat,47,66), lat = 1,72)/
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-      data (pmn(lat,48,66), lat = 1,72)/
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-      data (pmn(lat,49,66), lat = 1,72)/
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-      data (pmn(lat,50,66), lat = 1,72)/
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-      data (pmn(lat,52,66), lat = 1,72)/
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-      data (pmn(lat,53,66), lat = 1,72)/
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-      data (pmn(lat,54,66), lat = 1,72)/
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-      data (pmn(lat,55,66), lat = 1,72)/
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-      data (pmn(lat,56,66), lat = 1,72)/
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-      data (pmn(lat,57,66), lat = 1,72)/
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-      data (pmn(lat,58,66), lat = 1,72)/
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-      data (pmn(lat,59,66), lat = 1,72)/
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-      data (pmn(lat,60,66), lat = 1,72)/
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-      data (pmn(lat,61,66), lat = 1,72)/
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-      data (pmn(lat,62,66), lat = 1,72)/
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-      data (pmn(lat,63,66), lat = 1,72)/
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-      data (pmn(lat,64,66), lat = 1,72)/
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-      data (pmn(lat,65,66), lat = 1,72)/
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-      data (pmn(lat,66,66), lat = 1,72)/
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-      data (pmn(lat, 3,67), lat = 1,72)/
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-      data (pmn(lat, 4,67), lat = 1,72)/
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-      data (pmn(lat, 5,67), lat = 1,72)/
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-      data (pmn(lat, 6,67), lat = 1,72)/
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-      data (pmn(lat, 7,67), lat = 1,72)/
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-      data (pmn(lat, 8,67), lat = 1,72)/
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-      data (pmn(lat, 9,67), lat = 1,72)/
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-      data (pmn(lat,10,67), lat = 1,72)/
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-      data (pmn(lat,11,67), lat = 1,72)/
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-      data (pmn(lat,12,67), lat = 1,72)/
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-      data (pmn(lat,13,67), lat = 1,72)/
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-      data (pmn(lat,14,67), lat = 1,72)/
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-     |  -2.8615917544675d-03,-4.0566134491340d-06,-1.1311467920297d-12/
-      data (pmn(lat,15,67), lat = 1,72)/
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-      data (pmn(lat,16,67), lat = 1,72)/
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-      data (pmn(lat,17,67), lat = 1,72)/
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-      data (pmn(lat,18,67), lat = 1,72)/
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-      data (pmn(lat,19,67), lat = 1,72)/
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-      data (pmn(lat,20,67), lat = 1,72)/
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-      data (pmn(lat,21,67), lat = 1,72)/
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-      data (pmn(lat,22,67), lat = 1,72)/
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-      data (pmn(lat,23,67), lat = 1,72)/
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-      data (pmn(lat,24,67), lat = 1,72)/
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-      data (pmn(lat,25,67), lat = 1,72)/
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-      data (pmn(lat,26,67), lat = 1,72)/
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-      data (pmn(lat,27,67), lat = 1,72)/
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-      data (pmn(lat,28,67), lat = 1,72)/
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-      data (pmn(lat,29,67), lat = 1,72)/
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-      data (pmn(lat,30,67), lat = 1,72)/
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-      data (pmn(lat,31,67), lat = 1,72)/
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-     |   1.7050119946723d-12, 2.4531062201598d-09, 6.3684981814322d-07,
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-      data (pmn(lat,32,67), lat = 1,72)/
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-      data (pmn(lat,33,67), lat = 1,72)/
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-      data (pmn(lat,34,67), lat = 1,72)/
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-      data (pmn(lat,35,67), lat = 1,72)/
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-      data (pmn(lat,36,67), lat = 1,72)/
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-      data (pmn(lat,37,67), lat = 1,72)/
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-      data (pmn(lat,38,67), lat = 1,72)/
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-      data (pmn(lat,39,67), lat = 1,72)/
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-      data (pmn(lat,40,67), lat = 1,72)/
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-      data (pmn(lat,41,67), lat = 1,72)/
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-      data (pmn(lat,42,67), lat = 1,72)/
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-      data (pmn(lat,43,67), lat = 1,72)/
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-      data (pmn(lat,44,67), lat = 1,72)/
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-      data (pmn(lat,45,67), lat = 1,72)/
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-      data (pmn(lat,46,67), lat = 1,72)/
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-      data (pmn(lat,47,67), lat = 1,72)/
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-      data (pmn(lat,48,67), lat = 1,72)/
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-      data (pmn(lat,50,67), lat = 1,72)/
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-      data (pmn(lat,51,67), lat = 1,72)/
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-      data (pmn(lat,52,67), lat = 1,72)/
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-      data (pmn(lat,53,67), lat = 1,72)/
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-      data (pmn(lat,54,67), lat = 1,72)/
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-      data (pmn(lat,55,67), lat = 1,72)/
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-      data (pmn(lat,56,67), lat = 1,72)/
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-      data (pmn(lat,57,67), lat = 1,72)/
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-      data (pmn(lat,58,67), lat = 1,72)/
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-      data (pmn(lat,59,67), lat = 1,72)/
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-      data (pmn(lat,60,67), lat = 1,72)/
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-      data (pmn(lat,61,67), lat = 1,72)/
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-      data (pmn(lat,62,67), lat = 1,72)/
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-      data (pmn(lat,63,67), lat = 1,72)/
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-      data (pmn(lat,64,67), lat = 1,72)/
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-      data (pmn(lat,65,67), lat = 1,72)/
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-      data (pmn(lat,66,67), lat = 1,72)/
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-      data (pmn(lat,67,67), lat = 1,72)/
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-      data (pmn(lat, 0,68), lat = 1,72)/
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-      data (pmn(lat, 1,68), lat = 1,72)/
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-      data (pmn(lat, 2,68), lat = 1,72)/
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-      data (pmn(lat, 3,68), lat = 1,72)/
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-      data (pmn(lat, 6,68), lat = 1,72)/
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-      data (pmn(lat, 7,68), lat = 1,72)/
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-      data (pmn(lat, 8,68), lat = 1,72)/
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-      data (pmn(lat, 9,68), lat = 1,72)/
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-      data (pmn(lat,10,68), lat = 1,72)/
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-      data (pmn(lat,11,68), lat = 1,72)/
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-      data (pmn(lat,14,68), lat = 1,72)/
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-      data (pmn(lat,15,68), lat = 1,72)/
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-      data (pmn(lat,16,68), lat = 1,72)/
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-      data (pmn(lat,17,68), lat = 1,72)/
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-      data (pmn(lat,18,68), lat = 1,72)/
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-      data (pmn(lat,19,68), lat = 1,72)/
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-      data (pmn(lat,23,68), lat = 1,72)/
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-      data (pmn(lat,24,68), lat = 1,72)/
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-      data (pmn(lat,25,68), lat = 1,72)/
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-      data (pmn(lat,26,68), lat = 1,72)/
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-      data (pmn(lat,27,68), lat = 1,72)/
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-      data (pmn(lat,28,68), lat = 1,72)/
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-      data (pmn(lat,29,68), lat = 1,72)/
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-     |  -9.5997240020223d-15,-4.6897282000037d-21,-7.8607573168360d-35/
-      data (pmn(lat,30,68), lat = 1,72)/
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-     |   1.7583300785974d-11, 1.8930692704670d-08, 3.8214748596421d-06,
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-     |   1.0967270858351d-15, 3.1810440055640d-22, 1.7681700218676d-36/
-      data (pmn(lat,31,68), lat = 1,72)/
-     |   3.8184837892179d-38, 2.0709349618902d-23, 1.2018141852760d-16,
-     |   2.7390982186761d-12, 3.8732830311033d-09, 9.8312079067412d-07,
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-     |  -1.2018141852760d-16,-2.0709349618902d-23,-3.8184837892179d-38/
-      data (pmn(lat,32,68), lat = 1,72)/
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-     |   4.0919771606654d-13, 7.5897031877577d-10, 2.4175915998230d-07,
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-     |   1.2641371577523d-17, 1.2948851281500d-24, 7.9222077117276d-40/
-      data (pmn(lat,33,68), lat = 1,72)/
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-      data (pmn(lat,34,68), lat = 1,72)/
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-     |   1.2400503062308d-19, 4.4952455188936d-27, 3.0301824314733d-43/
-      data (pmn(lat,35,68), lat = 1,72)/
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-      data (pmn(lat,36,68), lat = 1,72)/
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-      data (pmn(lat,37,68), lat = 1,72)/
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-      data (pmn(lat,38,68), lat = 1,72)/
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-      data (pmn(lat,39,68), lat = 1,72)/
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-      data (pmn(lat,40,68), lat = 1,72)/
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-      data (pmn(lat,41,68), lat = 1,72)/
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-      data (pmn(lat,42,68), lat = 1,72)/
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-      data (pmn(lat,43,68), lat = 1,72)/
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-      data (pmn(lat,45,68), lat = 1,72)/
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-      data (pmn(lat,46,68), lat = 1,72)/
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-      data (pmn(lat,47,68), lat = 1,72)/
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-      data (pmn(lat,48,68), lat = 1,72)/
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-      data (pmn(lat,49,68), lat = 1,72)/
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-      data (pmn(lat,50,68), lat = 1,72)/
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-      data (pmn(lat,51,68), lat = 1,72)/
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-      data (pmn(lat,52,68), lat = 1,72)/
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-      data (pmn(lat,53,68), lat = 1,72)/
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-      data (pmn(lat,54,68), lat = 1,72)/
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-      data (pmn(lat,55,68), lat = 1,72)/
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-      data (pmn(lat,56,68), lat = 1,72)/
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-      data (pmn(lat,57,68), lat = 1,72)/
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-      data (pmn(lat,58,68), lat = 1,72)/
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-     |   4.0429766629691d-49, 6.1563028148981d-62, 1.3841495270853d-89/
-      data (pmn(lat,59,68), lat = 1,72)/
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-      data (pmn(lat,60,68), lat = 1,72)/
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-      data (pmn(lat,61,68), lat = 1,72)/
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-      data (pmn(lat,62,68), lat = 1,72)/
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-      data (pmn(lat,63,68), lat = 1,72)/
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-      data (pmn(lat,64,68), lat = 1,72)/
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-      data (pmn(lat,65,68), lat = 1,72)/
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-      data (pmn(lat,66,68), lat = 1,72)/
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-      data (pmn(lat,67,68), lat = 1,72)/
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-      data (pmn(lat,68,68), lat = 1,72)/
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-      data (pmn(lat, 0,69), lat = 1,72)/
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-      data (pmn(lat, 1,69), lat = 1,72)/
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-      data (pmn(lat, 2,69), lat = 1,72)/
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-      data (pmn(lat, 3,69), lat = 1,72)/
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-      data (pmn(lat, 4,69), lat = 1,72)/
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-      data (pmn(lat, 5,69), lat = 1,72)/
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-      data (pmn(lat, 6,69), lat = 1,72)/
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-      data (pmn(lat, 7,69), lat = 1,72)/
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-      data (pmn(lat, 8,69), lat = 1,72)/
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-      data (pmn(lat, 9,69), lat = 1,72)/
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-      data (pmn(lat,10,69), lat = 1,72)/
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-      data (pmn(lat,11,69), lat = 1,72)/
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-      data (pmn(lat,12,69), lat = 1,72)/
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-      data (pmn(lat,13,69), lat = 1,72)/
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-      data (pmn(lat,14,69), lat = 1,72)/
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-      data (pmn(lat,15,69), lat = 1,72)/
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-      data (pmn(lat,16,69), lat = 1,72)/
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-      data (pmn(lat,17,69), lat = 1,72)/
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-      data (pmn(lat,18,69), lat = 1,72)/
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-      data (pmn(lat,19,69), lat = 1,72)/
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-      data (pmn(lat,20,69), lat = 1,72)/
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-      data (pmn(lat,21,69), lat = 1,72)/
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-      data (pmn(lat,22,69), lat = 1,72)/
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-      data (pmn(lat,30,69), lat = 1,72)/
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-      data (pmn(lat,31,69), lat = 1,72)/
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-      data (pmn(lat,32,69), lat = 1,72)/
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-      data (pmn(lat,33,69), lat = 1,72)/
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-      data (pmn(lat,34,69), lat = 1,72)/
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-      data (pmn(lat,35,69), lat = 1,72)/
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-      data (pmn(lat,36,69), lat = 1,72)/
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-      data (pmn(lat,37,69), lat = 1,72)/
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-      data (pmn(lat,38,69), lat = 1,72)/
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-     |  -1.3826683125888d-23,-6.3518816911425d-32,-5.2279648195424d-50/
-      data (pmn(lat,39,69), lat = 1,72)/
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-     |   1.1304605777779d-24, 3.0953571324741d-33, 8.4643861128934d-52/
-      data (pmn(lat,40,69), lat = 1,72)/
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-     |   4.6091985954397d-20, 7.1334481688054d-16, 1.3083203450654d-12,
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-      data (pmn(lat,41,69), lat = 1,72)/
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-     |   6.7517050596116d-27, 6.5733849022378d-36, 1.9850312118355d-55/
-      data (pmn(lat,42,69), lat = 1,72)/
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-     |  -4.9323710166985d-28,-2.8645913061872d-37,-2.8752223217334d-57/
-      data (pmn(lat,43,69), lat = 1,72)/
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-     |   3.4703134519505d-29, 1.2025704162053d-38, 4.0123652330088d-59/
-      data (pmn(lat,44,69), lat = 1,72)/
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-      data (pmn(lat,45,69), lat = 1,72)/
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-     |   4.4558691504464d-25, 2.5672456592249d-20, 1.3834658834524d-16,
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-     |   1.5335352449410d-31, 1.8931649535329d-41, 6.9819952857299d-63/
-      data (pmn(lat,46,69), lat = 1,72)/
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-      data (pmn(lat,47,69), lat = 1,72)/
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-      data (pmn(lat,48,69), lat = 1,72)/
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-      data (pmn(lat,49,69), lat = 1,72)/
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-      data (pmn(lat,50,69), lat = 1,72)/
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-      data (pmn(lat,51,69), lat = 1,72)/
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-      data (pmn(lat,52,69), lat = 1,72)/
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-      data (pmn(lat,53,69), lat = 1,72)/
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-      data (pmn(lat,54,69), lat = 1,72)/
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-      data (pmn(lat,55,69), lat = 1,72)/
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-      data (pmn(lat,56,69), lat = 1,72)/
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-      data (pmn(lat,57,69), lat = 1,72)/
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-     |   3.7236322599209d-47, 9.5241812302828d-60, 6.4491532879803d-87/
-      data (pmn(lat,58,69), lat = 1,72)/
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-     |   3.4325315795416d-40, 5.7800026515439d-34, 4.8538741099130d-29,
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-      data (pmn(lat,59,69), lat = 1,72)/
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-     |   1.6836588690660d-41, 3.6692930815429d-35, 3.7977473197974d-30,
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-      data (pmn(lat,60,69), lat = 1,72)/
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-      data (pmn(lat,61,69), lat = 1,72)/
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-      data (pmn(lat,62,69), lat = 1,72)/
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-      data (pmn(lat,63,69), lat = 1,72)/
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-      data (pmn(lat,64,69), lat = 1,72)/
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-      data (pmn(lat,65,69), lat = 1,72)/
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-      data (pmn(lat,66,69), lat = 1,72)/
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-      data (pmn(lat,67,69), lat = 1,72)/
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-      data (pmn(lat,68,69), lat = 1,72)/
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-      data (pmn(lat,69,69), lat = 1,72)/
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-      data (pmn(lat, 0,70), lat = 1,72)/
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-      data (pmn(lat, 4,70), lat = 1,72)/
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-      data (pmn(lat, 5,70), lat = 1,72)/
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-      data (pmn(lat, 6,70), lat = 1,72)/
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-      data (pmn(lat, 7,70), lat = 1,72)/
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-      data (pmn(lat, 8,70), lat = 1,72)/
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-      data (pmn(lat,13,70), lat = 1,72)/
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-     |   3.3220973583216d-04, 1.6495544267661d-07, 5.0493827041331d-15/
-      data (pmn(lat,17,70), lat = 1,72)/
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-      data (pmn(lat,18,70), lat = 1,72)/
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-     |   1.6706080931353d-05, 2.7970428007047d-09, 9.2256341118630d-18/
-      data (pmn(lat,19,70), lat = 1,72)/
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-     |  -3.4029851774395d-06,-3.3256787916740d-10,-3.6090363668191d-19/
-      data (pmn(lat,20,70), lat = 1,72)/
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-     |   6.5310864844772d-07, 3.7358831744061d-11, 1.3355339397766d-20/
-      data (pmn(lat,21,70), lat = 1,72)/
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-      data (pmn(lat,22,70), lat = 1,72)/
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-     |   2.0344752511154d-08, 4.0136373626457d-13, 1.5617990305258d-23/
-      data (pmn(lat,23,70), lat = 1,72)/
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-     |  -3.3176822810140d-09,-3.8543479372366d-14,-4.9545018444660d-25/
-      data (pmn(lat,24,70), lat = 1,72)/
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-     |   5.1461447589849d-10, 3.5260396538305d-15, 1.4983210041467d-26/
-      data (pmn(lat,25,70), lat = 1,72)/
-     |   4.3258934865180d-28, 3.0776483269708d-16, 7.6058317941759d-11,
-     |   1.9971870970542d-07, 5.1170470128677d-05, 2.9719287206379d-03,
-     |   5.8002683156024d-02, 4.5831089196648d-01, 1.5232704956392d+00,
-     |   1.6759694294238d+00,-7.2882960656663d-01,-8.7397576132483d-01,
-     |   1.2920358705250d+00,-7.5306748482738d-01,-6.6866821191752d-02,
-     |   7.1437434240962d-01,-1.0233232061713d+00, 1.0089917841337d+00,
-     |  -7.6491712961461d-01, 3.9931014107955d-01,-4.7575477566028d-03,
-     |  -3.5186895011735d-01, 6.2932424813842d-01,-8.0773148779677d-01,
-     |   8.8327565796258d-01,-8.6326002867193d-01, 7.6203093960615d-01,
-     |  -5.9784364912873d-01, 3.9056195404818d-01,-1.6002942475461d-01,
-     |  -7.5048397339476d-02, 2.9784841847695d-01,-4.9391038369175d-01,
-     |   6.5143620073335d-01,-7.6146893879261d-01, 8.1799443845589d-01,
-     |  -8.1799443845589d-01, 7.6146893879261d-01,-6.5143620073335d-01,
-     |   4.9391038369174d-01,-2.9784841847694d-01, 7.5048397339482d-02,
-     |   1.6002942475462d-01,-3.9056195404820d-01, 5.9784364912874d-01,
-     |  -7.6203093960615d-01, 8.6326002867193d-01,-8.8327565796258d-01,
-     |   8.0773148779677d-01,-6.2932424813842d-01, 3.5186895011735d-01,
-     |   4.7575477566399d-03,-3.9931014107956d-01, 7.6491712961463d-01,
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-     |   8.7397576132483d-01, 7.2882960656663d-01,-1.6759694294238d+00,
-     |  -1.5232704956392d+00,-4.5831089196648d-01,-5.8002683156024d-02,
-     |  -2.9719287206380d-03,-5.1170470128677d-05,-1.9971870970542d-07,
-     |  -7.6058317941759d-11,-3.0776483269708d-16,-4.3258934865180d-28/
-      data (pmn(lat,26,70), lat = 1,72)/
-     |   1.1939475562886d-29, 2.5665472084618d-17, 1.0727530156387d-11,
-     |   4.0358613477120d-08, 1.3742874752374d-05, 1.0214647279943d-03,
-     |   2.5118370512685d-02, 2.5129837828382d-01, 1.1003330714731d+00,
-     |   1.9039857262439d+00, 2.8805938234845d-01,-1.4248030204203d+00,
-     |   7.6328621606838d-01, 3.4962749448504d-01,-1.0299671642589d+00,
-     |   1.1006038576564d+00,-7.3916127225633d-01, 1.9760280628205d-01,
-     |   3.2439603453481d-01,-7.0982319166995d-01, 9.1313570957372d-01,
-     |  -9.3774580854173d-01, 8.1500007108683d-01,-5.8849020445416d-01,
-     |   3.0376285936918d-01,-2.2839189136602d-03,-2.8162627125279d-01,
-     |   5.2194525143311d-01,-7.0095564064974d-01, 8.0862217588606d-01,
-     |  -8.4166454258481d-01, 8.0252069159037d-01,-6.9830860946671d-01,
-     |   5.3983928614187d-01,-3.4069956643912d-01, 1.1640321538017d-01,
-     |   1.1640321538017d-01,-3.4069956643913d-01, 5.3983928614188d-01,
-     |  -6.9830860946671d-01, 8.0252069159037d-01,-8.4166454258481d-01,
-     |   8.0862217588606d-01,-7.0095564064973d-01, 5.2194525143311d-01,
-     |  -2.8162627125279d-01,-2.2839189136711d-03, 3.0376285936919d-01,
-     |  -5.8849020445417d-01, 8.1500007108683d-01,-9.3774580854173d-01,
-     |   9.1313570957371d-01,-7.0982319166995d-01, 3.2439603453480d-01,
-     |   1.9760280628206d-01,-7.3916127225634d-01, 1.1006038576564d+00,
-     |  -1.0299671642589d+00, 3.4962749448505d-01, 7.6328621606840d-01,
-     |  -1.4248030204203d+00, 2.8805938234845d-01, 1.9039857262439d+00,
-     |   1.1003330714731d+00, 2.5129837828382d-01, 2.5118370512685d-02,
-     |   1.0214647279943d-03, 1.3742874752374d-05, 4.0358613477120d-08,
-     |   1.0727530156387d-11, 2.5665472084618d-17, 1.1939475562886d-29/
-      data (pmn(lat,27,70), lat = 1,72)/
-     |   3.1539035165089d-31, 2.0474784142209d-18, 1.4459056540015d-12,
-     |   7.7802202546094d-09, 3.5116912588474d-06, 3.3266169183940d-04,
-     |   1.0238650717204d-02, 1.2815556214968d-01, 7.1964777565872d-01,
-     |   1.7580786442587d+00, 1.1981974130893d+00,-1.1878819308203d+00,
-     |  -2.9867950523790d-01, 1.1741307366621d+00,-1.0508101946145d+00,
-     |   3.7280574972366d-01, 3.5866202989417d-01,-8.5081890137626d-01,
-     |   1.0167414477535d+00,-8.9721888539618d-01, 5.8812062122309d-01,
-     |  -1.9328297702637d-01,-1.9969402816783d-01, 5.2839624032195d-01,
-     |  -7.5599343623597d-01, 8.6760646203267d-01,-8.6529322613508d-01,
-     |   7.6303326897163d-01,-5.8232656322518d-01, 3.4860260402726d-01,
-     |  -8.8426912278205d-02,-1.7259728066127d-01, 4.1136036051638d-01,
-     |  -6.0833388594327d-01, 7.4831936322295d-01,-8.2094076852265d-01,
-     |   8.2094076852265d-01,-7.4831936322295d-01, 6.0833388594327d-01,
-     |  -4.1136036051638d-01, 1.7259728066127d-01, 8.8426912278200d-02,
-     |  -3.4860260402727d-01, 5.8232656322519d-01,-7.6303326897164d-01,
-     |   8.6529322613508d-01,-8.6760646203267d-01, 7.5599343623596d-01,
-     |  -5.2839624032194d-01, 1.9969402816783d-01, 1.9328297702637d-01,
-     |  -5.8812062122313d-01, 8.9721888539619d-01,-1.0167414477535d+00,
-     |   8.5081890137626d-01,-3.5866202989415d-01,-3.7280574972367d-01,
-     |   1.0508101946145d+00,-1.1741307366621d+00, 2.9867950523787d-01,
-     |   1.1878819308203d+00,-1.1981974130893d+00,-1.7580786442587d+00,
-     |  -7.1964777565873d-01,-1.2815556214968d-01,-1.0238650717204d-02,
-     |  -3.3266169183941d-04,-3.5116912588474d-06,-7.7802202546094d-09,
-     |  -1.4459056540015d-12,-2.0474784142209d-18,-3.1539035165089d-31/
-      data (pmn(lat,28,70), lat = 1,72)/
-     |   7.9823151391722d-33, 1.5642827083294d-19, 1.8646721624519d-13,
-     |   1.4328707199924d-09, 8.5526782464376d-07, 1.0289541470157d-04,
-     |   3.9418794805819d-03, 6.1149440957073d-02, 4.3204216345816d-01,
-     |   1.4075531349948d+00, 1.7312569614922d+00,-3.6724375634228d-01,
-     |  -1.1776062919959d+00, 1.1098802829373d+00,-1.5560309543629d-01,
-     |  -7.2123230719203d-01, 1.0840897198829d+00,-9.3819653109295d-01,
-     |   4.8318959145787d-01, 5.9821758321485d-02,-5.2631931630961d-01,
-     |   8.2584405493796d-01,-9.3120051837948d-01, 8.5897300000540d-01,
-     |  -6.5071572690832d-01, 3.5821185855754d-01,-3.3293122250368d-02,
-     |  -2.7844528759953d-01, 5.4099748118870d-01,-7.2926347031494d-01,
-     |   8.2904052983035d-01,-8.3620519500623d-01, 7.5543685459124d-01,
-     |  -5.9870800151871d-01, 3.8367580600284d-01,-1.3204763392357d-01,
-     |  -1.3204763392357d-01, 3.8367580600285d-01,-5.9870800151871d-01,
-     |   7.5543685459124d-01,-8.3620519500623d-01, 8.2904052983035d-01,
-     |  -7.2926347031494d-01, 5.4099748118869d-01,-2.7844528759952d-01,
-     |  -3.3293122250373d-02, 3.5821185855755d-01,-6.5071572690833d-01,
-     |   8.5897300000540d-01,-9.3120051837948d-01, 8.2584405493796d-01,
-     |  -5.2631931630958d-01, 5.9821758321477d-02, 4.8318959145788d-01,
-     |  -9.3819653109296d-01, 1.0840897198829d+00,-7.2123230719203d-01,
-     |  -1.5560309543628d-01, 1.1098802829373d+00,-1.1776062919959d+00,
-     |  -3.6724375634228d-01, 1.7312569614922d+00, 1.4075531349949d+00,
-     |   4.3204216345816d-01, 6.1149440957073d-02, 3.9418794805819d-03,
-     |   1.0289541470158d-04, 8.5526782464376d-07, 1.4328707199924d-09,
-     |   1.8646721624519d-13, 1.5642827083294d-19, 7.9823151391722d-33/
-      data (pmn(lat,29,70), lat = 1,72)/
-     |   1.9375067215641d-34, 1.1457053991641d-20, 2.3033794605690d-14,
-     |   2.5242532052871d-10, 1.9884169619243d-07, 3.0288694600163d-05,
-     |   1.4375556388569d-03, 2.7427640084996d-02, 2.4036770638985d-01,
-     |   1.0082197205165d+00, 1.8425845760933d+00, 6.1451528733966d-01,
-     |  -1.3846642164381d+00, 2.6053398344195d-01, 8.7356343102000d-01,
-     |  -1.1557307192372d+00, 7.1248278504900d-01, 5.4003426821257d-03,
-     |  -6.2185989454594d-01, 9.4880151934821d-01,-9.5891569632190d-01,
-     |   7.2045728897724d-01,-3.3932372201674d-01,-7.9272753695029d-02,
-     |   4.5103438868383d-01,-7.2001688754875d-01, 8.5837839436002d-01,
-     |  -8.6219158958975d-01, 7.4572073754243d-01,-5.3554118403609d-01,
-     |   2.6519882549170d-01, 2.9304704802669d-02,-3.1314381594514d-01,
-     |   5.5547301979694d-01,-7.3150235359776d-01, 8.2394823841468d-01,
-     |  -8.2394823841468d-01, 7.3150235359775d-01,-5.5547301979693d-01,
-     |   3.1314381594513d-01,-2.9304704802662d-02,-2.6519882549169d-01,
-     |   5.3554118403610d-01,-7.4572073754245d-01, 8.6219158958975d-01,
-     |  -8.5837839436002d-01, 7.2001688754874d-01,-4.5103438868381d-01,
-     |   7.9272753695021d-02, 3.3932372201674d-01,-7.2045728897724d-01,
-     |   9.5891569632191d-01,-9.4880151934821d-01, 6.2185989454593d-01,
-     |  -5.4003426821178d-03,-7.1248278504902d-01, 1.1557307192372d+00,
-     |  -8.7356343102001d-01,-2.6053398344194d-01, 1.3846642164381d+00,
-     |  -6.1451528733966d-01,-1.8425845760933d+00,-1.0082197205165d+00,
-     |  -2.4036770638985d-01,-2.7427640084996d-02,-1.4375556388569d-03,
-     |  -3.0288694600164d-05,-1.9884169619243d-07,-2.5242532052871d-10,
-     |  -2.3033794605690d-14,-1.1457053991641d-20,-1.9375067215641d-34/
-      data (pmn(lat,30,70), lat = 1,72)/
-     |   4.5140349151382d-36, 8.0516112588057d-22, 2.7280714400688d-15,
-     |   4.2585228763114d-11, 4.4189960684732d-08, 8.4999448258036d-06,
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-     |   6.5805198455416d-01, 1.6409935650428d+00, 1.3844397422181d+00,
-     |  -8.8101656186661d-01,-7.6451352654919d-01, 1.2358703888364d+00,
-     |  -5.7805709816016d-01,-3.5582447354613d-01, 9.4991915890675d-01,
-     |  -1.0258238818688d+00, 6.9345808882995d-01,-1.6709086410023d-01,
-     |  -3.5316180609773d-01, 7.3239115175241d-01,-9.0860020394400d-01,
-     |   8.7944065325475d-01,-6.8236458557782d-01, 3.7564735018717d-01,
-     |  -2.3298604395079d-02,-3.1551615824487d-01, 5.9301056517748d-01,
-     |  -7.7610262523889d-01, 8.4737906176917d-01,-8.0441904457510d-01,
-     |   6.5803197841126d-01,-4.2980921478102d-01, 1.4926351899271d-01,
-     |   1.4926351899272d-01,-4.2980921478103d-01, 6.5803197841126d-01,
-     |  -8.0441904457510d-01, 8.4737906176917d-01,-7.7610262523889d-01,
-     |   5.9301056517748d-01,-3.1551615824485d-01,-2.3298604395087d-02,
-     |   3.7564735018718d-01,-6.8236458557783d-01, 8.7944065325476d-01,
-     |  -9.0860020394400d-01, 7.3239115175241d-01,-3.5316180609773d-01,
-     |  -1.6709086410027d-01, 6.9345808882995d-01,-1.0258238818688d+00,
-     |   9.4991915890675d-01,-3.5582447354612d-01,-5.7805709816018d-01,
-     |   1.2358703888364d+00,-7.6451352654921d-01,-8.8101656186663d-01,
-     |   1.3844397422181d+00, 1.6409935650428d+00, 6.5805198455417d-01,
-     |   1.2479657788967d-01, 1.1608124752050d-02, 4.9780815103637d-04,
-     |   8.4999448258041d-06, 4.4189960684732d-08, 4.2585228763114d-11,
-     |   2.7280714400688d-15, 8.0516112588057d-22, 4.5140349151382d-36/
-      data (pmn(lat,31,70), lat = 1,72)/
-     |   1.0102471520680d-37, 5.4336687121851d-23, 3.1006539565120d-16,
-     |   6.8868268207612d-12, 9.3987709544735d-09, 2.2775241835405d-06,
-     |   1.6402622707799d-04, 4.6500231960268d-03, 6.0788683903148d-02,
-     |   3.9607078001668d-01, 1.2849604929535d+00, 1.7630600258471d+00,
-     |   2.4378921002927d-02,-1.3425346237969d+00, 7.1105747732514d-01,
-     |   4.8438859557551d-01,-1.1007625291143d+00, 9.3126484114973d-01,
-     |  -3.0053498121881d-01,-3.8174599042059d-01, 8.3941870558845d-01,
-     |  -9.7022887909425d-01, 8.0378551908846d-01,-4.4060348179408d-01,
-     |   1.0756217028786d-03, 4.0769150417312d-01,-7.0870048675546d-01,
-     |   8.6001767782193d-01,-8.5234071746455d-01, 7.0266642089886d-01,
-     |  -4.4643223132737d-01, 1.2958944311346d-01, 1.9858518165959d-01,
-     |  -4.9155389332107d-01, 7.1032138374401d-01,-8.2696964418330d-01,
-     |   8.2696964418330d-01,-7.1032138374400d-01, 4.9155389332107d-01,
-     |  -1.9858518165958d-01,-1.2958944311346d-01, 4.4643223132736d-01,
-     |  -7.0266642089887d-01, 8.5234071746455d-01,-8.6001767782193d-01,
-     |   7.0870048675546d-01,-4.0769150417311d-01,-1.0756217028928d-03,
-     |   4.4060348179409d-01,-8.0378551908846d-01, 9.7022887909425d-01,
-     |  -8.3941870558844d-01, 3.8174599042059d-01, 3.0053498121883d-01,
-     |  -9.3126484114974d-01, 1.1007625291143d+00,-4.8438859557551d-01,
-     |  -7.1105747732513d-01, 1.3425346237969d+00,-2.4378921002904d-02,
-     |  -1.7630600258471d+00,-1.2849604929535d+00,-3.9607078001668d-01,
-     |  -6.0788683903150d-02,-4.6500231960269d-03,-1.6402622707799d-04,
-     |  -2.2775241835407d-06,-9.3987709544735d-09,-6.8868268207612d-12,
-     |  -3.1006539565120d-16,-5.4336687121851d-23,-1.0102471520680d-37/
-      data (pmn(lat,32,70), lat = 1,72)/
-     |   2.1733419420173d-39, 3.5238192524988d-24, 3.3845069975349d-17,
-     |   1.0685561625558d-12, 1.9151715500140d-09, 5.8344028636131d-07,
-     |   5.1516630319480d-05, 1.7675954384713d-03, 2.7897143783482d-02,
-     |   2.2168846746903d-01, 9.0764814936442d-01, 1.7638575784798d+00,
-     |   9.2734842173536d-01,-1.2046659462593d+00,-2.9217731031745d-01,
-     |   1.1758278739026d+00,-8.7527084162207d-01,-1.0062521234678d-03,
-     |   7.5097454942905d-01,-1.0279365490731d+00, 8.3064851966123d-01,
-     |  -3.4341343072170d-01,-2.1012739390328d-01, 6.5283036816230d-01,
-     |  -8.8568743205746d-01, 8.8529755956994d-01,-6.8510195160438d-01,
-     |   3.5224090234102d-01, 3.3549573613975d-02,-3.9628442741183d-01,
-     |   6.7474170081525d-01,-8.2861796500613d-01, 8.4070950778816d-01,
-     |  -7.1605953835829d-01, 4.7891177282594d-01,-1.6816023228160d-01,
-     |  -1.6816023228161d-01, 4.7891177282595d-01,-7.1605953835830d-01,
-     |   8.4070950778816d-01,-8.2861796500613d-01, 6.7474170081525d-01,
-     |  -3.9628442741182d-01, 3.3549573613956d-02, 3.5224090234102d-01,
-     |  -6.8510195160438d-01, 8.8529755956995d-01,-8.8568743205745d-01,
-     |   6.5283036816229d-01,-2.1012739390328d-01,-3.4341343072170d-01,
-     |   8.3064851966126d-01,-1.0279365490731d+00, 7.5097454942904d-01,
-     |  -1.0062521234602d-03,-8.7527084162208d-01, 1.1758278739026d+00,
-     |  -2.9217731031746d-01,-1.2046659462593d+00, 9.2734842173534d-01,
-     |   1.7638575784798d+00, 9.0764814936442d-01, 2.2168846746903d-01,
-     |   2.7897143783483d-02, 1.7675954384713d-03, 5.1516630319480d-05,
-     |   5.8344028636135d-07, 1.9151715500140d-09, 1.0685561625558d-12,
-     |   3.3845069975349d-17, 3.5238192524988d-24, 2.1733419420173d-39/
-      data (pmn(lat,33,70), lat = 1,72)/
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-      data (pmn(lat,34,70), lat = 1,72)/
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-     |   2.2788666043191d-14, 7.0178755076610d-11, 3.3609543079422d-08,
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-     |   3.5815169595965d-19, 1.3183916807734d-26, 8.9548315535285d-43/
-      data (pmn(lat,35,70), lat = 1,72)/
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-     |  -3.4760278574320d-20,-7.6137971707562d-28,-1.7167768847643d-44/
-      data (pmn(lat,36,70), lat = 1,72)/
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-     |   3.2472932896651d-21, 4.2341323691565d-29, 3.1700481557030d-46/
-      data (pmn(lat,37,70), lat = 1,72)/
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-     |  -2.9210790812904d-22,-2.2681949853812d-30,-5.6396593271461d-48/
-      data (pmn(lat,38,70), lat = 1,72)/
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-     |   2.5309270460011d-23, 1.1707570428495d-31, 9.6691017560360d-50/
-      data (pmn(lat,39,70), lat = 1,72)/
-     |   1.5978981587449d-51, 5.8238850412695d-33, 2.1126698035769d-24,
-     |   7.6595494476341d-19, 8.9731428066658d-15, 1.3002595974632d-11,
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-      data (pmn(lat,40,70), lat = 1,72)/
-     |   2.5456435348487d-53, 2.7924114889217d-34, 1.6993040014081d-25,
-     |   8.7113443738228d-20, 1.3300787723731d-15, 2.3975113135036d-12,
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-     |   1.6993040014081d-25, 2.7924114889217d-34, 2.5456435348487d-53/
-      data (pmn(lat,41,70), lat = 1,72)/
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-      data (pmn(lat,42,70), lat = 1,72)/
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-     |   9.8390395469004d-28, 5.7501191677189d-37, 5.7894230546026d-57/
-      data (pmn(lat,43,70), lat = 1,72)/
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-      data (pmn(lat,44,70), lat = 1,72)/
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-     |   4.9125442340557d-30, 1.0220537246408d-39, 1.1370550570173d-60/
-      data (pmn(lat,45,70), lat = 1,72)/
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-     |   9.4540319792523d-25, 5.3822008812434d-20, 2.8566193637720d-16,
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-     |  -3.2826135210377d-31,-4.0761583530290d-41,-1.5076596374961d-62/
-      data (pmn(lat,46,70), lat = 1,72)/
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-     |   8.5839315445723d-26, 6.3491747651346d-21, 4.1742863451747d-17,
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-     |   2.1125962762838d-32, 1.5660246848229d-42, 1.9259185906057d-64/
-      data (pmn(lat,47,70), lat = 1,72)/
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-     |   7.5017612508136d-27, 7.2062206547432d-22, 5.8656140820780d-18,
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-     |  -1.3090212689697d-33,-5.7937644887664d-44,-2.3693385223171d-66/
-      data (pmn(lat,48,70), lat = 1,72)/
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-     |   1.5872705936498d-10, 7.7488936294628d-13, 1.4564460937318d-15,
-     |   7.9230516843367d-19, 7.8661351866970d-23, 6.3076458424283d-28,
-     |   7.8058753595303d-35, 2.0632125535383d-45, 2.8059158747998d-68/
-      data (pmn(lat,49,70), lat = 1,72)/
-     |   3.1970016660863d-70, 7.0682614916950d-47, 4.4772411333641d-36,
-     |   5.1000565332610d-29, 8.2540258433487d-24, 1.0283016028297d-19,
-     |   2.2669836641622d-16, 1.4165293058982d-13, 3.3583644706925d-11,
-     |   3.6610817555073d-09, 2.0944176379565d-07, 6.9033086950628d-06,
-     |   1.4014760542177d-04, 1.8369853433698d-03, 1.6038675074813d-02,
-     |   9.4822609563580d-02, 3.7943812899980d-01, 1.0010957077505d+00,
-     |   1.6019163873785d+00, 1.1294132665018d+00,-5.6237692805834d-01,
-     |  -1.1687187053048d+00, 4.7353569356433d-01, 9.4137993118059d-01,
-     |  -8.2101336167445d-01,-3.9076389933395d-01, 1.0332987508691d+00,
-     |  -4.6968253679901d-01,-5.5229906723227d-01, 9.7895900589446d-01,
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-     |  -6.5440583143097d-01,-1.6338386988412d-01, 8.4125528474980d-01,
-     |  -8.4125528474979d-01, 1.6338386988411d-01, 6.5440583143098d-01,
-     |  -9.4236951772183d-01, 4.3280609341290d-01, 4.7527165216757d-01,
-     |  -9.7895900589446d-01, 5.5229906723226d-01, 4.6968253679901d-01,
-     |  -1.0332987508691d+00, 3.9076389933394d-01, 8.2101336167445d-01,
-     |  -9.4137993118059d-01,-4.7353569356433d-01, 1.1687187053048d+00,
-     |   5.6237692805836d-01,-1.1294132665018d+00,-1.6019163873785d+00,
-     |  -1.0010957077505d+00,-3.7943812899980d-01,-9.4822609563582d-02,
-     |  -1.6038675074813d-02,-1.8369853433698d-03,-1.4014760542177d-04,
-     |  -6.9033086950628d-06,-2.0944176379565d-07,-3.6610817555074d-09,
-     |  -3.3583644706927d-11,-1.4165293058983d-13,-2.2669836641622d-16,
-     |  -1.0283016028298d-19,-8.2540258433487d-24,-5.1000565332610d-29,
-     |  -4.4772411333641d-36,-7.0682614916950d-47,-3.1970016660863d-70/
-      data (pmn(lat,50,70), lat = 1,72)/
-     |   3.5022608574102d-72, 2.3280138031048d-48, 2.4685185700312d-37,
-     |   3.9629272163877d-30, 8.3207056053518d-25, 1.2815923874067d-20,
-     |   3.3865923345074d-17, 2.4835260077406d-14, 6.8089795271305d-12,
-     |   8.4949359090870d-10, 5.5224201887877d-08, 2.0593781135797d-06,
-     |   4.7211272008591d-05, 6.9921990696485d-04, 6.9228116506740d-03,
-     |   4.6768533678013d-02, 2.1690936780492d-01, 6.8153558529215d-01,
-     |   1.3809178980920d+00, 1.5465047088321d+00, 3.1664134376680d-01,
-     |  -1.1765401074636d+00,-5.1550062320387d-01, 1.0863085132835d+00,
-     |   1.6388687826259d-01,-1.0674682637081d+00, 4.7922693133414d-01,
-     |   6.5703653630337d-01,-9.7644014290286d-01, 2.3445331662400d-01,
-     |   7.1217921548645d-01,-9.3395319058313d-01, 2.7751790129358d-01,
-     |   6.1518758042240d-01,-9.4655136825567d-01, 4.4427228056288d-01,
-     |   4.4427228056288d-01,-9.4655136825567d-01, 6.1518758042239d-01,
-     |   2.7751790129359d-01,-9.3395319058313d-01, 7.1217921548646d-01,
-     |   2.3445331662401d-01,-9.7644014290287d-01, 6.5703653630337d-01,
-     |   4.7922693133415d-01,-1.0674682637081d+00, 1.6388687826258d-01,
-     |   1.0863085132835d+00,-5.1550062320387d-01,-1.1765401074636d+00,
-     |   3.1664134376678d-01, 1.5465047088321d+00, 1.3809178980920d+00,
-     |   6.8153558529215d-01, 2.1690936780493d-01, 4.6768533678014d-02,
-     |   6.9228116506739d-03, 6.9921990696484d-04, 4.7211272008592d-05,
-     |   2.0593781135797d-06, 5.5224201887877d-08, 8.4949359090873d-10,
-     |   6.8089795271308d-12, 2.4835260077406d-14, 3.3865923345074d-17,
-     |   1.2815923874069d-20, 8.3207056053518d-25, 3.9629272163877d-30,
-     |   2.4685185700312d-37, 2.3280138031048d-48, 3.5022608574102d-72/
-      data (pmn(lat,51,70), lat = 1,72)/
-     |   3.6860182624501d-74, 7.3659823205552d-50, 1.3072876640494d-38,
-     |   2.9571176476597d-31, 8.0525077841522d-26, 1.5327783473953d-21,
-     |   4.8523540861815d-18, 4.1735398767710d-15, 1.3221381347489d-12,
-     |   1.8858710629159d-10, 1.3913775592767d-08, 5.8608798005991d-07,
-     |   1.5140678120982d-05, 2.5267002716955d-04, 2.8259280423579d-03,
-     |   2.1693544903285d-02, 1.1558703153920d-01, 4.2565648449399d-01,
-     |   1.0525490229111d+00, 1.6044545347697d+00, 1.0904744981916d+00,
-     |  -5.6101474797275d-01,-1.1834075416845d+00, 3.7935749638833d-01,
-     |   1.0205756914011d+00,-6.7133910217154d-01,-6.2578793508703d-01,
-     |   9.9868141549193d-01,-1.1018699348343d-01,-8.6006616613734d-01,
-     |   8.3924432886810d-01, 6.4016785299383d-02,-8.7481413678119d-01,
-     |   8.0474687495184d-01, 4.0610648083514d-02,-8.3875467972644d-01,
-     |   8.3875467972644d-01,-4.0610648083509d-02,-8.0474687495184d-01,
-     |   8.7481413678119d-01,-6.4016785299377d-02,-8.3924432886810d-01,
-     |   8.6006616613734d-01, 1.1018699348345d-01,-9.9868141549193d-01,
-     |   6.2578793508703d-01, 6.7133910217155d-01,-1.0205756914011d+00,
-     |  -3.7935749638833d-01, 1.1834075416845d+00, 5.6101474797275d-01,
-     |  -1.0904744981916d+00,-1.6044545347697d+00,-1.0525490229111d+00,
-     |  -4.2565648449400d-01,-1.1558703153920d-01,-2.1693544903285d-02,
-     |  -2.8259280423579d-03,-2.5267002716955d-04,-1.5140678120983d-05,
-     |  -5.8608798005991d-07,-1.3913775592767d-08,-1.8858710629159d-10,
-     |  -1.3221381347490d-12,-4.1735398767711d-15,-4.8523540861815d-18,
-     |  -1.5327783473954d-21,-8.0525077841522d-26,-2.9571176476597d-31,
-     |  -1.3072876640494d-38,-7.3659823205552d-50,-3.6860182624501d-74/
-      data (pmn(lat,52,70), lat = 1,72)/
-     |   3.7237342850126d-76, 2.2369619041758d-51, 6.6439909281415d-40,
-     |   2.1171540219719d-32, 7.4749245843418d-27, 1.7577120320323d-22,
-     |   6.6630092678583d-19, 6.7174656926636d-16, 2.4570252830607d-13,
-     |   4.0030950636284d-11, 3.3480049103433d-09, 1.5906576708247d-07,
-     |   4.6218368586323d-06, 8.6694615450835d-05, 1.0916635451864d-03,
-     |   9.4777321227147d-03, 5.7601268990136d-02, 2.4564713644896d-01,
-     |   7.2369342857593d-01, 1.4008140746082d+00, 1.5306386120115d+00,
-     |   3.3066587746207d-01,-1.1484938872594d+00,-6.2225681397776d-01,
-     |   1.0187500546446d+00, 3.8931021750504d-01,-1.0730133019559d+00,
-     |   1.5144483357417d-01, 9.1845030531196d-01,-7.7065368533735d-01,
-     |  -2.9260575731782d-01, 9.8125789978528d-01,-5.6881707714146d-01,
-     |  -4.4185848881313d-01, 9.7279207498094d-01,-4.9271528238233d-01,
-     |  -4.9271528238234d-01, 9.7279207498094d-01,-4.4185848881313d-01,
-     |  -5.6881707714146d-01, 9.8125789978528d-01,-2.9260575731783d-01,
-     |  -7.7065368533736d-01, 9.1845030531195d-01, 1.5144483357418d-01,
-     |  -1.0730133019559d+00, 3.8931021750504d-01, 1.0187500546446d+00,
-     |  -6.2225681397775d-01,-1.1484938872594d+00, 3.3066587746207d-01,
-     |   1.5306386120115d+00, 1.4008140746082d+00, 7.2369342857594d-01,
-     |   2.4564713644897d-01, 5.7601268990136d-02, 9.4777321227148d-03,
-     |   1.0916635451864d-03, 8.6694615450834d-05, 4.6218368586324d-06,
-     |   1.5906576708247d-07, 3.3480049103433d-09, 4.0030950636285d-11,
-     |   2.4570252830608d-13, 6.7174656926638d-16, 6.6630092678583d-19,
-     |   1.7577120320325d-22, 7.4749245843418d-27, 2.1171540219719d-32,
-     |   6.6439909281415d-40, 2.2369619041758d-51, 3.7237342850126d-76/
-      data (pmn(lat,53,70), lat = 1,72)/
-     |   3.6070818495719d-78, 6.5135063939459d-53, 3.2371208187168d-41,
-     |   1.4528534474778d-33, 6.6488834922646d-28, 1.9307525199244d-23,
-     |   8.7599474225395d-20, 1.0346022800514d-16, 4.3662147715517d-14,
-     |   8.1183252834055d-12, 7.6886050081606d-10, 4.1146022250125d-08,
-     |   1.3423991963766d-06, 2.8240473138638d-05, 3.9919634443646d-04,
-     |   3.9038392847156d-03, 2.6903274305066d-02, 1.3162915506884d-01,
-     |   4.5425427907391d-01, 1.0735638871469d+00, 1.5994471129488d+00,
-     |   1.1099284155804d+00,-4.8527288845303d-01,-1.2227498958347d+00,
-     |   1.9105882698452d-01, 1.1112671749373d+00,-4.0323157659849d-01,
-     |  -8.9169749615883d-01, 8.0184398636555d-01, 3.8355351751265d-01,
-     |  -1.0169848060966d+00, 3.6590619323868d-01, 7.0161774361803d-01,
-     |  -9.3038879488482d-01, 9.9373391667394d-02, 8.3446560580942d-01,
-     |  -8.3446560580942d-01,-9.9373391667399d-02, 9.3038879488482d-01,
-     |  -7.0161774361803d-01,-3.6590619323868d-01, 1.0169848060966d+00,
-     |  -3.8355351751265d-01,-8.0184398636556d-01, 8.9169749615883d-01,
-     |   4.0323157659849d-01,-1.1112671749373d+00,-1.9105882698453d-01,
-     |   1.2227498958347d+00, 4.8527288845303d-01,-1.1099284155804d+00,
-     |  -1.5994471129488d+00,-1.0735638871469d+00,-4.5425427907392d-01,
-     |  -1.3162915506884d-01,-2.6903274305066d-02,-3.9038392847157d-03,
-     |  -3.9919634443645d-04,-2.8240473138637d-05,-1.3423991963767d-06,
-     |  -4.1146022250125d-08,-7.6886050081606d-10,-8.1183252834058d-12,
-     |  -4.3662147715519d-14,-1.0346022800514d-16,-8.7599474225395d-20,
-     |  -1.9307525199246d-23,-6.6488834922646d-28,-1.4528534474778d-33,
-     |  -3.2371208187168d-41,-6.5135063939459d-53,-3.6070818495719d-78/
-      data (pmn(lat,54,70), lat = 1,72)/
-     |   3.3462520526512d-80, 1.8162272480029d-54, 1.5102006681433d-42,
-     |   9.5445483831668d-35, 5.6603389623130d-29, 2.0291342217727d-24,
-     |   1.1014190523311d-20, 1.5231093549052d-17, 7.4115039233883d-15,
-     |   1.5714249642109d-12, 1.6835856093086d-10, 1.0136093351743d-08,
-     |   3.7073926913415d-07, 8.7299722716504d-06, 1.3817234412750d-04,
-     |   1.5166857111941d-03, 1.1793456425905d-02, 6.5704675541071d-02,
-     |   2.6228860504938d-01, 7.3803205029953d-01, 1.3950302324269d+00,
-     |   1.5400322914499d+00, 4.2841664223044d-01,-1.0753179646849d+00,
-     |  -8.0205355761835d-01, 8.6623587106276d-01, 6.9003384829924d-01,
-     |  -9.5578131789806d-01,-3.1285106368884d-01, 1.0478965097742d+00,
-     |  -2.7466234442512d-01,-8.3759049932403d-01, 8.3225970476130d-01,
-     |   2.1758691232661d-01,-9.8191304037614d-01, 5.4698869672608d-01,
-     |   5.4698869672608d-01,-9.8191304037614d-01, 2.1758691232660d-01,
-     |   8.3225970476130d-01,-8.3759049932402d-01,-2.7466234442512d-01,
-     |   1.0478965097742d+00,-3.1285106368882d-01,-9.5578131789807d-01,
-     |   6.9003384829923d-01, 8.6623587106277d-01,-8.0205355761834d-01,
-     |  -1.0753179646849d+00, 4.2841664223044d-01, 1.5400322914499d+00,
-     |   1.3950302324269d+00, 7.3803205029953d-01, 2.6228860504938d-01,
-     |   6.5704675541071d-02, 1.1793456425905d-02, 1.5166857111942d-03,
-     |   1.3817234412750d-04, 8.7299722716503d-06, 3.7073926913417d-07,
-     |   1.0136093351743d-08, 1.6835856093086d-10, 1.5714249642109d-12,
-     |   7.4115039233887d-15, 1.5231093549052d-17, 1.1014190523311d-20,
-     |   2.0291342217729d-24, 5.6603389623130d-29, 9.5445483831668d-35,
-     |   1.5102006681433d-42, 1.8162272480029d-54, 3.3462520526512d-80/
-      data (pmn(lat,55,70), lat = 1,72)/
-     |   2.9687182263502d-82, 4.8429319215495d-56, 6.7366333762687d-44,
-     |   5.9943805755254d-36, 4.6055915704549d-30, 2.0375400625270d-25,
-     |   1.3226371188773d-21, 2.1404734231030d-18, 1.2002270819027d-15,
-     |   2.8996917470659d-13, 3.5111985773149d-11, 2.3754957223996d-09,
-     |   9.7271054768167d-08, 2.5592144559883d-06, 4.5248851095176d-05,
-     |   5.5580402335691d-04, 4.8558420675093d-03, 3.0616324703513d-02,
-     |   1.4000482765117d-01, 4.6087754898571d-01, 1.0617901964751d+00,
-     |   1.5874590388152d+00, 1.1895047788397d+00,-3.2047279644218d-01,
-     |  -1.2587813791811d+00,-1.0925649021226d-01, 1.1472090627823d+00,
-     |   1.7859599833406d-02,-1.0796738710578d+00, 3.4383552183961d-01,
-     |   8.8177470179259d-01,-7.7800417883182d-01,-4.1096402669020d-01,
-     |   1.0127265007741d+00,-2.5744272349714d-01,-8.2787667973939d-01,
-     |   8.2787667973938d-01, 2.5744272349714d-01,-1.0127265007741d+00,
-     |   4.1096402669019d-01, 7.7800417883183d-01,-8.8177470179259d-01,
-     |  -3.4383552183962d-01, 1.0796738710578d+00,-1.7859599833400d-02,
-     |  -1.1472090627823d+00, 1.0925649021226d-01, 1.2587813791811d+00,
-     |   3.2047279644219d-01,-1.1895047788397d+00,-1.5874590388152d+00,
-     |  -1.0617901964752d+00,-4.6087754898572d-01,-1.4000482765117d-01,
-     |  -3.0616324703513d-02,-4.8558420675094d-03,-5.5580402335692d-04,
-     |  -4.5248851095175d-05,-2.5592144559883d-06,-9.7271054768170d-08,
-     |  -2.3754957223996d-09,-3.5111985773149d-11,-2.8996917470660d-13,
-     |  -1.2002270819028d-15,-2.1404734231031d-18,-1.3226371188773d-21,
-     |  -2.0375400625272d-25,-4.6055915704549d-30,-5.9943805755254d-36,
-     |  -6.7366333762687d-44,-4.8429319215495d-56,-2.9687182263502d-82/
-      data (pmn(lat,56,70), lat = 1,72)/
-     |   2.5145886233911d-84, 1.2328511710787d-57, 2.8685843907232d-45,
-     |   3.5931613805818d-37, 3.5757871112459d-31, 1.9517067529178d-26,
-     |   1.5145300173920d-22, 2.8670475058687d-19, 1.8514777626408d-16,
-     |   5.0933689906640d-14, 6.9646770276652d-12, 5.2894417954643d-10,
-     |   2.4216400192519d-08, 7.1073607013307d-07, 1.4008928923200d-05,
-     |   1.9203773831071d-04, 1.8782096033348d-03, 1.3333053031192d-02,
-     |   6.9303242265602d-02, 2.6346397644596d-01, 7.2115971563670d-01,
-     |   1.3609175291686d+00, 1.5703318284363d+00, 6.1411781767267d-01,
-     |  -9.2229785087284d-01,-1.0274149896768d+00, 5.6739480690337d-01,
-     |   1.0007748002995d+00,-6.0550638412471d-01,-8.2438166565483d-01,
-     |   8.2848930872320d-01, 4.7005366016739d-01,-1.0161827445857d+00,
-     |   5.6803721402609d-02, 9.6738865761081d-01,-6.0838836122566d-01,
-     |  -6.0838836122566d-01, 9.6738865761081d-01, 5.6803721402615d-02,
-     |  -1.0161827445857d+00, 4.7005366016738d-01, 8.2848930872320d-01,
-     |  -8.2438166565483d-01,-6.0550638412472d-01, 1.0007748002995d+00,
-     |   5.6739480690337d-01,-1.0274149896768d+00,-9.2229785087285d-01,
-     |   6.1411781767266d-01, 1.5703318284363d+00, 1.3609175291686d+00,
-     |   7.2115971563671d-01, 2.6346397644597d-01, 6.9303242265603d-02,
-     |   1.3333053031192d-02, 1.8782096033349d-03, 1.9203773831071d-04,
-     |   1.4008928923200d-05, 7.1073607013306d-07, 2.4216400192520d-08,
-     |   5.2894417954643d-10, 6.9646770276652d-12, 5.0933689906642d-14,
-     |   1.8514777626409d-16, 2.8670475058687d-19, 1.5145300173920d-22,
-     |   1.9517067529180d-26, 3.5757871112459d-31, 3.5931613805818d-37,
-     |   2.8685843907232d-45, 1.2328511710787d-57, 2.5145886233911d-84/
-      data (pmn(lat,57,70), lat = 1,72)/
-     |   2.0295992117270d-86, 2.9904462736250d-59, 1.1637783141389d-46,
-     |   2.0517192738676d-38, 2.6440635396896d-32, 1.7799753380521d-27,
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-     |   8.5013618033272d-15, 1.3116947603430d-12, 1.1172033639038d-10,
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-      data (pmn(lat,58,70), lat = 1,72)/
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-     |   1.1134857395825d-39, 1.8578380823946d-33, 1.5421721651971d-28,
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-     |   4.4881142077517d-48, 6.8959673616414d-61, 1.5574303539266d-88/
-      data (pmn(lat,59,70), lat = 1,72)/
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-     |   5.7281021702921d-41, 1.2371379471757d-34, 1.2659482715591d-29,
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-     |  -1.6408884677953d-49,-1.5077057086175d-62,-1.1331548973209d-90/
-      data (pmn(lat,60,70), lat = 1,72)/
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-     |   2.7842036318296d-42, 7.7823690073205d-36, 9.8147262109025d-31,
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-     |   9.8147262109035d-31, 7.7823690073205d-36, 2.7842036318296d-42,
-     |   5.6691426981087d-51, 3.1152992300919d-64, 7.7920341529115d-93/
-      data (pmn(lat,61,70), lat = 1,72)/
-     |   5.0442801045388d-95, 6.0597059258688d-66, 1.8436885250271d-52,
-     |   1.2736994916194d-43, 4.6068555571534d-37, 7.1588057975396d-32,
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-     |  -1.8436885250271d-52,-6.0597059258688d-66,-5.0442801045388d-95/
-      data (pmn(lat,62,70), lat = 1,72)/
-     |   3.0595397709744d-97, 1.1043190697874d-67, 5.6171234997721d-54,
-     |   5.4580290631233d-45, 2.5540382692469d-38, 4.8892144192598d-33,
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-     |   4.8892144192604d-33, 2.5540382692469d-38, 5.4580290631233d-45,
-     |   5.6171234997721d-54, 1.1043190697874d-67, 3.0595397709744d-97/
-      data (pmn(lat,63,70), lat = 1,72)/
-     |   1.7283221243908d-99, 1.8742726517717d-69, 1.5936840836936d-55,
-     |   2.1777887169584d-46, 1.3182322190552d-39, 3.1080647239090d-34,
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-     |  -1.5936840836936d-55,-1.8742726517717d-69,-1.7283221243908d-99/
-      data (pmn(lat,64,70), lat = 1,72)/
-     |  9.0236552736657d-102, 2.9399804590297d-71, 4.1786134689438d-57,
-     |   8.0295078467733d-48, 6.2861354002862d-41, 1.8250863729837d-35,
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-     |   4.0479761508266d-14, 2.7257178058830d-12, 1.2133375594942d-10,
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-     |   6.7227257484812d-03, 3.1058587877673d-02, 1.1412658431521d-01,
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-     |   1.8250863729839d-35, 6.2861354002862d-41, 8.0295078467733d-48,
-     |   4.1786134689438d-57, 2.9399804590297d-71,9.0236552736657d-102/
-      data (pmn(lat,65,70), lat = 1,72)/
-     |  4.3106835104460d-104, 4.2193634055470d-73, 1.0023575298232d-58,
-     |   2.7081731673116d-49, 2.7417444445163d-42, 9.8004814256769d-37,
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-      data (pmn(lat,66,70), lat = 1,72)/
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-     |   8.2405491040496d-51, 1.0787044122982d-43, 4.7464252317497d-38,
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-     |   2.1694487546746d-60, 5.4640498300244d-75,1.8581867580398d-106/
-      data (pmn(lat,67,70), lat = 1,72)/
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-     |  -4.1518151150844d-62,-6.2570828162811d-77,-7.0833031709534d-109/
-      data (pmn(lat,68,70), lat = 1,72)/
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-     |   5.1068079988413d-54, 1.1171672861713d-46, 7.4447994621443d-41,
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-     |   7.4447994621452d-41, 1.1171672861713d-46, 5.1068079988413d-54,
-     |   6.8039513049945d-64, 6.1360683021256d-79,2.3123653158884d-111/
-      data (pmn(lat,69,70), lat = 1,72)/
-     |  6.0961767142528d-114, 4.8593300645752d-81, 9.0038243431715d-66,
-     |   9.4983367010531d-56, 2.6856402834822d-48, 2.2019933358203d-42,
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-     |  -9.0038243431715d-66,-4.8593300645752d-81,-6.0961767142528d-114/
-      data (pmn(lat,70,70), lat = 1,72)/
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-     |   1.2355596082825d-57, 4.5148737534244d-50, 4.5538968458064d-44,
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-     |   8.3338897969341d-68, 2.6917936460585d-83,1.1242161530962d-116/
-      data (pmn(lat, 0,71), lat = 1,72)/
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-      data (pmn(lat, 2,71), lat = 1,72)/
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-      data (pmn(lat, 4,71), lat = 1,72)/
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-      data (pmn(lat,12,71), lat = 1,72)/
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-      data (pmn(lat,14,71), lat = 1,72)/
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-      data (pmn(lat,18,71), lat = 1,72)/
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-      data (pmn(lat,20,71), lat = 1,72)/
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-      data (pmn(lat,24,71), lat = 1,72)/
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-      data (pmn(lat,26,71), lat = 1,72)/
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-      data (pmn(lat,28,71), lat = 1,72)/
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-      data (pmn(lat,30,71), lat = 1,72)/
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-      data (pmn(lat,32,71), lat = 1,72)/
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-      data (pmn(lat,34,71), lat = 1,72)/
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-      data (pmn(lat,36,71), lat = 1,72)/
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-      data (pmn(lat,38,71), lat = 1,72)/
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-      data (pmn(lat,40,71), lat = 1,72)/
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-      data (pmn(lat,42,71), lat = 1,72)/
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-      data (pmn(lat,44,71), lat = 1,72)/
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-      data (pmn(lat,46,71), lat = 1,72)/
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-      data (pmn(lat,48,71), lat = 1,72)/
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-      data (pmn(lat,50,71), lat = 1,72)/
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-      data (pmn(lat,52,71), lat = 1,72)/
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-      data (pmn(lat,60,71), lat = 1,72)/
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-      data (pmn(lat,62,71), lat = 1,72)/
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-      data (pmn(lat,64,71), lat = 1,72)/
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-      data (pmn(lat,66,71), lat = 1,72)/
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-      data (pmn(lat,68,71), lat = 1,72)/
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-     |   3.7654756323627d-17, 3.6527844381675d-15, 2.3073118871166d-13,
-     |   9.9650924361701d-12, 3.0607333962733d-10, 6.9028076742857d-09,
-     |   1.1734327794435d-07, 1.5363118712562d-06, 1.5768248764282d-05,
-     |   1.2872373946078d-04, 8.4559577395823d-04, 4.5105275057072d-03,
-     |   1.9664681282875d-02, 7.0342281538143d-02, 2.0659832351718d-01,
-     |   4.9648148237717d-01, 9.6647556098137d-01, 1.4906191578279d+00,
-     |   1.7317621943797d+00, 1.3078576986789d+00, 1.9122519320636d-01,
-     |  -1.0221564082680d+00,-1.4359365368423d+00,-6.6713410842638d-01,
-     |   6.6713410842638d-01, 1.4359365368423d+00, 1.0221564082680d+00,
-     |  -1.9122519320636d-01,-1.3078576986789d+00,-1.7317621943797d+00,
-     |  -1.4906191578279d+00,-9.6647556098138d-01,-4.9648148237717d-01,
-     |  -2.0659832351718d-01,-7.0342281538143d-02,-1.9664681282875d-02,
-     |  -4.5105275057072d-03,-8.4559577395823d-04,-1.2872373946078d-04,
-     |  -1.5768248764282d-05,-1.5363118712562d-06,-1.1734327794435d-07,
-     |  -6.9028076742857d-09,-3.0607333962734d-10,-9.9650924361704d-12,
-     |  -2.3073118871165d-13,-3.6527844381675d-15,-3.7654756323629d-17,
-     |  -2.3767757257139d-19,-8.4909805019126d-22,-1.5492458757820d-24,
-     |  -1.2583336877442d-27,-3.7642694007271d-31,-3.1612275597697d-35,
-     |  -4.9528278747917d-40,-7.5066852637078d-46,-3.4587679992198d-53,
-     |  -4.6355569922599d-63,-4.1969860412473d-78,-1.5847301565341d-110/
-      data (pmn(lat,70,71), lat = 1,72)/
-     |  1.3440470660950d-115, 3.2120250801723d-82, 9.9066488833997d-67,
-     |   1.4603183601177d-56, 5.2952634132791d-49, 5.2896069977209d-43,
-     |   4.7929023749996d-38, 7.7459477508990d-34, 3.4009198377314d-30,
-     |   5.3656251096441d-27, 3.6978735375037d-24, 1.2826926330197d-21,
-     |   2.4898022120803d-19, 2.9335062667445d-17, 2.2358103325389d-15,
-     |   1.1596575896529d-13, 4.2644785964807d-12, 1.1497298095852d-10,
-     |   2.3363517011887d-09, 3.6618305736762d-08, 4.5128785288741d-07,
-     |   4.4447326102513d-06, 3.5464882618351d-05, 2.3189145166963d-04,
-     |   1.2544287695247d-03, 5.6581754378648d-03, 2.1412552831154d-02,
-     |   6.8299442677616d-02, 1.8414820906389d-01, 4.2002061601004d-01,
-     |   8.0885405339460d-01, 1.3068457177039d+00, 1.7462906695532d+00,
-     |   1.8684372175399d+00, 1.4663969159242d+00, 5.5889520576062d-01,
-     |  -5.5889520576062d-01,-1.4663969159242d+00,-1.8684372175399d+00,
-     |  -1.7462906695532d+00,-1.3068457177039d+00,-8.0885405339460d-01,
-     |  -4.2002061601005d-01,-1.8414820906389d-01,-6.8299442677617d-02,
-     |  -2.1412552831154d-02,-5.6581754378648d-03,-1.2544287695247d-03,
-     |  -2.3189145166964d-04,-3.5464882618351d-05,-4.4447326102513d-06,
-     |  -4.5128785288742d-07,-3.6618305736763d-08,-2.3363517011888d-09,
-     |  -1.1497298095852d-10,-4.2644785964808d-12,-1.1596575896529d-13,
-     |  -2.2358103325388d-15,-2.9335062667445d-17,-2.4898022120804d-19,
-     |  -1.2826926330197d-21,-3.6978735375037d-24,-5.3656251096444d-27,
-     |  -3.4009198377316d-30,-7.7459477508992d-34,-4.7929023749996d-38,
-     |  -5.2896069977216d-43,-5.2952634132791d-49,-1.4603183601177d-56,
-     |  -9.9066488833997d-67,-3.2120250801723d-82,-1.3440470660950d-115/
-
-#endif
-      end module he_coef0_dres
diff --git a/src/he_coef1_dres.F b/src/he_coef1_dres.F
deleted file mode 100644
index a70671b..0000000
--- a/src/he_coef1_dres.F
+++ /dev/null
@@ -1,64823 +0,0 @@
-#include <defs.h>
-      module he_coef1_dres
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-! Laplacian coefficients for Helium at 2.5-deg resolution, obtained
-! from Eric Sutton (eric.sutton.5@us.af.mil) on May 2, 2014.
-!
-      integer :: lat
-!
-#if (NLAT==72 && NLON==144)
-! Data statements are used only if 2.5-deg resolution.
-!
-      real,dimension(72,0:70,0:71) :: zmn
-!
-!     Zmn Basis Set zmn(lat,m,n)
-      data (zmn(lat, 0, 0), lat = 1,72)/
-     |   5.8736449859770d-04, 2.0661366742186d-03, 3.3269761225209d-03,
-     |   4.7170634359873d-03, 6.0006695825447d-03, 7.3485954189742d-03,
-     |   8.6208456204929d-03, 9.9285286324009d-03, 1.1172767499814d-02,
-     |   1.2434638609643d-02, 1.3638449401782d-02, 1.4846990230262d-02,
-     |   1.5999676188934d-02, 1.7146855523577d-02, 1.8238734244064d-02,
-     |   1.9316546292644d-02, 2.0338719801663d-02, 2.1339446143120d-02,
-     |   2.2283731030328d-02, 2.3200096214635d-02, 2.4059016060684d-02,
-     |   2.4884294421418d-02, 2.5651098116590d-02, 2.6379194359399d-02,
-     |   2.7047884760929d-02, 2.7673398129349d-02, 2.8238763647320d-02,
-     |   2.8757040240580d-02, 2.9214685486326d-02, 2.9621860967133d-02,
-     |   2.9968234288311d-02, 3.0261268103843d-02, 3.0493684706262d-02,
-     |   3.0670386389186d-02, 3.0787046238519d-02, 3.0846094069873d-02,
-     |   3.0846094069873d-02, 3.0787046238520d-02, 3.0670386389186d-02,
-     |   3.0493684706262d-02, 3.0261268103843d-02, 2.9968234288311d-02,
-     |   2.9621860967133d-02, 2.9214685486326d-02, 2.8757040240580d-02,
-     |   2.8238763647320d-02, 2.7673398129349d-02, 2.7047884760929d-02,
-     |   2.6379194359399d-02, 2.5651098116590d-02, 2.4884294421418d-02,
-     |   2.4059016060684d-02, 2.3200096214635d-02, 2.2283731030328d-02,
-     |   2.1339446143120d-02, 2.0338719801663d-02, 1.9316546292644d-02,
-     |   1.8238734244064d-02, 1.7146855523577d-02, 1.5999676188934d-02,
-     |   1.4846990230262d-02, 1.3638449401782d-02, 1.2434638609643d-02,
-     |   1.1172767499814d-02, 9.9285286324009d-03, 8.6208456204929d-03,
-     |   7.3485954189742d-03, 6.0006695825447d-03, 4.7170634359873d-03,
-     |   3.3269761225209d-03, 2.0661366742186d-03, 5.8736449859772d-04/
-      data (zmn(lat, 0, 1), lat = 1,72)/
-     |   1.0169598627880d-03, 3.5714208225374d-03, 5.7275267868316d-03,
-     |   8.0761033446027d-03, 1.0192476534958d-02, 1.2364938611047d-02,
-     |   1.4333380557026d-02, 1.6286198439462d-02, 1.8033651782164d-02,
-     |   1.9716096696665d-02, 2.1183461807650d-02, 2.2548835706992d-02,
-     |   2.3688128076124d-02, 2.4697649768656d-02, 2.5472037922410d-02,
-     |   2.6096890515320d-02, 2.6481256340979d-02, 2.6703836982845d-02,
-     |   2.6685279699522d-02, 2.6499919356296d-02, 2.6078012202675d-02,
-     |   2.5491249122909d-02, 2.4677975091845d-02, 2.3708416138134d-02,
-     |   2.2527756514490d-02, 2.1205549763606d-02, 1.9692724612556d-02,
-     |   1.8058668732607d-02, 1.6259045556733d-02, 1.4363368067781d-02,
-     |   1.2331068022661d-02, 1.0231912422796d-02, 8.0281542388244d-03,
-     |   5.7898236835437d-03, 3.4810542488688d-03, 1.1720662486037d-03,
-     |  -1.1720662486037d-03,-3.4810542488688d-03,-5.7898236835437d-03,
-     |  -8.0281542388244d-03,-1.0231912422796d-02,-1.2331068022661d-02,
-     |  -1.4363368067781d-02,-1.6259045556733d-02,-1.8058668732607d-02,
-     |  -1.9692724612556d-02,-2.1205549763606d-02,-2.2527756514490d-02,
-     |  -2.3708416138134d-02,-2.4677975091845d-02,-2.5491249122909d-02,
-     |  -2.6078012202675d-02,-2.6499919356296d-02,-2.6685279699522d-02,
-     |  -2.6703836982845d-02,-2.6481256340979d-02,-2.6096890515320d-02,
-     |  -2.5472037922410d-02,-2.4697649768656d-02,-2.3688128076124d-02,
-     |  -2.2548835706992d-02,-2.1183461807650d-02,-1.9716096696665d-02,
-     |  -1.8033651782164d-02,-1.6286198439462d-02,-1.4333380557026d-02,
-     |  -1.2364938611047d-02,-1.0192476534958d-02,-8.0761033446027d-03,
-     |  -5.7275267868316d-03,-3.5714208225375d-03,-1.0169598627880d-03/
-      data (zmn(lat, 1, 1), lat = 1,72)/
-     |   2.0333284471686d-05, 1.6087054235747d-04, 4.4821331439217d-04,
-     |   8.7425975244230d-04, 1.4383274115704d-03, 2.1347013989260d-03,
-     |   2.9589848368477d-03, 3.9042813607934d-03, 4.9638516949608d-03,
-     |   6.1292856920626d-03, 7.3919853619808d-03, 8.7421223978041d-03,
-     |   1.0169600429371d-02, 1.1663406492720d-02, 1.3212297446713d-02,
-     |   1.4804378246717d-02, 1.6427624222628d-02, 1.8069601801974d-02,
-     |   1.9717883967849d-02, 2.1359865522745d-02, 2.2983103403007d-02,
-     |   2.4575196721430d-02, 2.6124070243856d-02, 2.7617899381187d-02,
-     |   2.9045347644934d-02, 3.0395522650420d-02, 3.1658173963500d-02,
-     |   3.2823669941719d-02, 3.3883159717356d-02, 3.4828563294390d-02,
-     |   3.5652699782643d-02, 3.6349285089359d-02, 3.6913027534309d-02,
-     |   3.7339629005817d-02, 3.7625848513219d-02, 3.7769503980698d-02,
-     |   3.7769503980698d-02, 3.7625848513219d-02, 3.7339629005817d-02,
-     |   3.6913027534309d-02, 3.6349285089359d-02, 3.5652699782643d-02,
-     |   3.4828563294390d-02, 3.3883159717356d-02, 3.2823669941719d-02,
-     |   3.1658173963500d-02, 3.0395522650420d-02, 2.9045347644934d-02,
-     |   2.7617899381187d-02, 2.6124070243856d-02, 2.4575196721430d-02,
-     |   2.2983103403008d-02, 2.1359865522745d-02, 1.9717883967849d-02,
-     |   1.8069601801974d-02, 1.6427624222628d-02, 1.4804378246717d-02,
-     |   1.3212297446713d-02, 1.1663406492720d-02, 1.0169600429371d-02,
-     |   8.7421223978041d-03, 7.3919853619807d-03, 6.1292856920626d-03,
-     |   4.9638516949608d-03, 3.9042813607934d-03, 2.9589848368477d-03,
-     |   2.1347013989260d-03, 1.4383274115704d-03, 8.7425975244229d-04,
-     |   4.4821331439216d-04, 1.6087054235747d-04, 2.0333284471683d-05/
-      data (zmn(lat, 0, 2), lat = 1,72)/
-     |   1.3121721847170d-03, 4.5912079127997d-03, 7.3057125624311d-03,
-     |   1.0183451720034d-02, 1.2649440057506d-02, 1.5042418516718d-02,
-     |   1.7009198578658d-02, 1.8763932966903d-02, 2.0056060387042d-02,
-     |   2.1044295914624d-02, 2.1542902535380d-02, 2.1683388683894d-02,
-     |   2.1328218224441d-02, 2.0595757859476d-02, 1.9387475729544d-02,
-     |   1.7816007607565d-02, 1.5815515947297d-02, 1.3496484273931d-02,
-     |   1.0820536846583d-02, 7.8970694593453d-03, 4.7102459442510d-03,
-     |   1.3676810793183d-03,-2.1288240849352d-03,-5.6753587931170d-03,
-     |  -9.2574094334665d-03,-1.2777493031658d-02,-1.6213234203978d-02,
-     |  -1.9476722894478d-02,-2.2542327023798d-02,-2.5334931322733d-02,
-     |  -2.7829800587574d-02,-2.9967604065848d-02,-3.1727996743370d-02,
-     |  -3.3069924979727d-02,-3.3980079483784d-02,-3.4437468421413d-02,
-     |  -3.4437468421413d-02,-3.3980079483784d-02,-3.3069924979727d-02,
-     |  -3.1727996743370d-02,-2.9967604065848d-02,-2.7829800587574d-02,
-     |  -2.5334931322733d-02,-2.2542327023799d-02,-1.9476722894478d-02,
-     |  -1.6213234203978d-02,-1.2777493031658d-02,-9.2574094334665d-03,
-     |  -5.6753587931171d-03,-2.1288240849353d-03, 1.3676810793183d-03,
-     |   4.7102459442509d-03, 7.8970694593453d-03, 1.0820536846583d-02,
-     |   1.3496484273931d-02, 1.5815515947297d-02, 1.7816007607565d-02,
-     |   1.9387475729544d-02, 2.0595757859476d-02, 2.1328218224441d-02,
-     |   2.1683388683894d-02, 2.1542902535380d-02, 2.1044295914624d-02,
-     |   2.0056060387042d-02, 1.8763932966903d-02, 1.7009198578658d-02,
-     |   1.5042418516718d-02, 1.2649440057506d-02, 1.0183451720034d-02,
-     |   7.3057125624311d-03, 4.5912079127997d-03, 1.3121721847170d-03/
-      data (zmn(lat, 1, 2), lat = 1,72)/
-     |   4.5756610704172d-05, 3.5864646133587d-04, 9.9657931516868d-04,
-     |   1.9318512797199d-03, 3.1547003502471d-03, 4.6362426443182d-03,
-     |   6.3524622753478d-03, 8.2666250737261d-03, 1.0345131321812d-02,
-     |   1.2544500159450d-02, 1.4824694008347d-02, 1.7137936217181d-02,
-     |   1.9440926544375d-02, 2.1684567820656d-02, 2.3825573787973d-02,
-     |   2.5816680127658d-02, 2.7617846348701d-02, 2.9186712455003d-02,
-     |   3.0489477211923d-02, 3.1491447381173d-02, 3.2167623169380d-02,
-     |   3.2493234877797d-02, 3.2454045385772d-02, 3.2036801333869d-02,
-     |   3.1239257213646d-02, 3.0060493473722d-02, 2.8510670140088d-02,
-     |   2.6601185943282d-02, 2.4354177477191d-02, 2.1792512777255d-02,
-     |   1.8949062326451d-02, 1.5856537618274d-02, 1.2556571026096d-02,
-     |   9.0894244410446d-03, 5.5029247548767d-03, 1.8420791826332d-03,
-     |  -1.8420791826332d-03,-5.5029247548768d-03,-9.0894244410447d-03,
-     |  -1.2556571026096d-02,-1.5856537618274d-02,-1.8949062326451d-02,
-     |  -2.1792512777255d-02,-2.4354177477191d-02,-2.6601185943282d-02,
-     |  -2.8510670140088d-02,-3.0060493473722d-02,-3.1239257213646d-02,
-     |  -3.2036801333869d-02,-3.2454045385772d-02,-3.2493234877797d-02,
-     |  -3.2167623169380d-02,-3.1491447381173d-02,-3.0489477211923d-02,
-     |  -2.9186712455003d-02,-2.7617846348701d-02,-2.5816680127658d-02,
-     |  -2.3825573787972d-02,-2.1684567820656d-02,-1.9440926544375d-02,
-     |  -1.7137936217181d-02,-1.4824694008347d-02,-1.2544500159450d-02,
-     |  -1.0345131321811d-02,-8.2666250737261d-03,-6.3524622753478d-03,
-     |  -4.6362426443182d-03,-3.1547003502471d-03,-1.9318512797199d-03,
-     |  -9.9657931516868d-04,-3.5864646133588d-04,-4.5756610704171d-05/
-      data (zmn(lat, 2, 2), lat = 1,72)/
-     |   4.9592439450594d-07, 1.1763324032408d-05, 5.4555120076752d-05,
-     |   1.4869332606313d-04, 3.1372453868961d-04, 5.6727748436007d-04,
-     |   9.2574310995856d-04, 1.4031216018864d-03, 2.0114422825647d-03,
-     |   2.7599222703829d-03, 3.6552908462158d-03, 4.7011794052924d-03,
-     |   5.8984306403270d-03, 7.2446829973030d-03, 8.7347064533634d-03,
-     |   1.0360158913944d-02, 1.2109968695291d-02, 1.3970243396651d-02,
-     |   1.5924704581629d-02, 1.7954728281957d-02, 2.0039826491955d-02,
-     |   2.2157795507819d-02, 2.4285230565431d-02, 2.6397755190819d-02,
-     |   2.8470549269272d-02, 3.0478630350365d-02, 3.2397371556154d-02,
-     |   3.4202804870258d-02, 3.5872103556009d-02, 3.7383878146493d-02,
-     |   3.8718598394340d-02, 3.9858855061158d-02, 4.0789698722107d-02,
-     |   4.1498844460002d-02, 4.1976908865401d-02, 4.2217540165938d-02,
-     |   4.2217540165938d-02, 4.1976908865401d-02, 4.1498844460002d-02,
-     |   4.0789698722107d-02, 3.9858855061158d-02, 3.8718598394340d-02,
-     |   3.7383878146493d-02, 3.5872103556009d-02, 3.4202804870258d-02,
-     |   3.2397371556154d-02, 3.0478630350365d-02, 2.8470549269272d-02,
-     |   2.6397755190819d-02, 2.4285230565431d-02, 2.2157795507819d-02,
-     |   2.0039826491955d-02, 1.7954728281957d-02, 1.5924704581629d-02,
-     |   1.3970243396651d-02, 1.2109968695291d-02, 1.0360158913944d-02,
-     |   8.7347064533634d-03, 7.2446829973030d-03, 5.8984306403270d-03,
-     |   4.7011794052925d-03, 3.6552908462158d-03, 2.7599222703830d-03,
-     |   2.0114422825647d-03, 1.4031216018864d-03, 9.2574310995857d-04,
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-      data (zmn(lat, 0, 3), lat = 1,72)/
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-      data (zmn(lat, 2, 3), lat = 1,72)/
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-      data (zmn(lat, 3, 3), lat = 1,72)/
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-      data (zmn(lat, 0, 4), lat = 1,72)/
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-      data (zmn(lat, 1, 4), lat = 1,72)/
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-      data (zmn(lat, 2, 4), lat = 1,72)/
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-      data (zmn(lat, 3, 4), lat = 1,72)/
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-      data (zmn(lat, 4, 4), lat = 1,72)/
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-      data (zmn(lat, 0, 5), lat = 1,72)/
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-      data (zmn(lat, 1, 5), lat = 1,72)/
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-      data (zmn(lat, 2, 5), lat = 1,72)/
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-      data (zmn(lat, 3, 5), lat = 1,72)/
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-      data (zmn(lat, 4, 5), lat = 1,72)/
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-      data (zmn(lat, 5, 5), lat = 1,72)/
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-      data (zmn(lat, 0, 6), lat = 1,72)/
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-      data (zmn(lat, 1, 7), lat = 1,72)/
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-      data (zmn(lat, 2, 7), lat = 1,72)/
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-      data (zmn(lat, 3, 7), lat = 1,72)/
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-      data (zmn(lat, 4, 7), lat = 1,72)/
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-      data (zmn(lat, 5, 7), lat = 1,72)/
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-      data (zmn(lat, 6, 7), lat = 1,72)/
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-      data (zmn(lat, 7, 7), lat = 1,72)/
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-      data (zmn(lat, 0, 8), lat = 1,72)/
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-      data (zmn(lat, 1, 8), lat = 1,72)/
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-      data (zmn(lat, 2, 8), lat = 1,72)/
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-      data (zmn(lat, 3, 8), lat = 1,72)/
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-      data (zmn(lat, 4, 8), lat = 1,72)/
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-      data (zmn(lat, 5, 8), lat = 1,72)/
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-      data (zmn(lat, 6, 8), lat = 1,72)/
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-      data (zmn(lat, 7, 8), lat = 1,72)/
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-      data (zmn(lat, 8, 8), lat = 1,72)/
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-      data (zmn(lat, 0, 9), lat = 1,72)/
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-      data (zmn(lat, 1, 9), lat = 1,72)/
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-      data (zmn(lat, 2, 9), lat = 1,72)/
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-      data (zmn(lat, 3, 9), lat = 1,72)/
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-      data (zmn(lat, 4, 9), lat = 1,72)/
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-      data (zmn(lat, 5, 9), lat = 1,72)/
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-      data (zmn(lat, 6, 9), lat = 1,72)/
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-      data (zmn(lat, 7, 9), lat = 1,72)/
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-      data (zmn(lat, 8, 9), lat = 1,72)/
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-      data (zmn(lat, 9, 9), lat = 1,72)/
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-      data (zmn(lat, 3,10), lat = 1,72)/
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-      data (zmn(lat, 7,10), lat = 1,72)/
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-      data (zmn(lat, 8,10), lat = 1,72)/
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-      data (zmn(lat,10,10), lat = 1,72)/
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-      data (zmn(lat, 0,11), lat = 1,72)/
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-      data (zmn(lat, 1,11), lat = 1,72)/
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-      data (zmn(lat, 2,11), lat = 1,72)/
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-      data (zmn(lat, 3,11), lat = 1,72)/
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-      data (zmn(lat, 4,11), lat = 1,72)/
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-      data (zmn(lat, 5,11), lat = 1,72)/
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-      data (zmn(lat, 6,11), lat = 1,72)/
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-      data (zmn(lat, 7,11), lat = 1,72)/
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-      data (zmn(lat, 8,11), lat = 1,72)/
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-      data (zmn(lat, 9,11), lat = 1,72)/
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-      data (zmn(lat,10,11), lat = 1,72)/
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-      data (zmn(lat,11,11), lat = 1,72)/
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-      data (zmn(lat, 0,12), lat = 1,72)/
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-      data (zmn(lat, 3,12), lat = 1,72)/
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-      data (zmn(lat, 4,12), lat = 1,72)/
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-      data (zmn(lat, 5,12), lat = 1,72)/
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-      data (zmn(lat, 6,12), lat = 1,72)/
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-      data (zmn(lat, 7,12), lat = 1,72)/
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-      data (zmn(lat, 8,12), lat = 1,72)/
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-      data (zmn(lat, 9,12), lat = 1,72)/
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-      data (zmn(lat,10,12), lat = 1,72)/
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-      data (zmn(lat,11,12), lat = 1,72)/
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-      data (zmn(lat,12,12), lat = 1,72)/
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-      data (zmn(lat, 0,13), lat = 1,72)/
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-      data (zmn(lat, 1,13), lat = 1,72)/
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-      data (zmn(lat, 2,13), lat = 1,72)/
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-      data (zmn(lat, 3,13), lat = 1,72)/
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-      data (zmn(lat,10,13), lat = 1,72)/
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-      data (zmn(lat,11,13), lat = 1,72)/
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-      data (zmn(lat,12,13), lat = 1,72)/
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-      data (zmn(lat,13,13), lat = 1,72)/
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-      data (zmn(lat, 0,14), lat = 1,72)/
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-      data (zmn(lat, 1,14), lat = 1,72)/
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-      data (zmn(lat, 2,14), lat = 1,72)/
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-      data (zmn(lat, 3,14), lat = 1,72)/
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-      data (zmn(lat, 4,14), lat = 1,72)/
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-      data (zmn(lat, 5,14), lat = 1,72)/
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-      data (zmn(lat, 6,14), lat = 1,72)/
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-      data (zmn(lat, 7,14), lat = 1,72)/
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-      data (zmn(lat, 8,14), lat = 1,72)/
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-     |   4.1264572160017d-08, 4.3762931706526d-10,-1.9608255630589d-12/
-      data (zmn(lat, 9,14), lat = 1,72)/
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-     |   8.1188521765831d-08, 9.3260550632516d-07, 6.3368570283548d-06,
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-      data (zmn(lat,10,14), lat = 1,72)/
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-     |   1.7817051078402d-10, 6.4200361523301d-13, 1.0101603172649d-14/
-      data (zmn(lat,11,14), lat = 1,72)/
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-     |   4.8314475599896d-10, 9.3252409781978d-09, 9.6640154786959d-08,
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-      data (zmn(lat,12,14), lat = 1,72)/
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-     |   2.7421021691087d-11, 6.8493566879580d-10, 8.7475479260147d-09,
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-     |   1.7490291848804d-02, 1.2180747953946d-02, 8.0335560292433d-03,
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-     |   8.7475479358604d-09, 6.8493565087337d-10, 2.7421050315399d-11,
-     |   3.5820096046145d-13, 4.8189767807351d-16,-1.4342694612592d-16/
-      data (zmn(lat,13,14), lat = 1,72)/
-     |  -3.1913844074790d-18,-6.5537862633287d-17, 1.1008988914476d-14,
-     |   1.1937884704763d-12, 3.8565134523108d-11, 6.0637634262381d-10,
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-     |   9.1904999543154d-07, 3.3414503756266d-06, 1.0570021565823d-05,
-     |   2.9711870436037d-05, 7.5424849865953d-05, 1.7510823441019d-04,
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-      data (zmn(lat,14,14), lat = 1,72)/
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-      data (zmn(lat, 0,15), lat = 1,72)/
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-      data (zmn(lat, 1,15), lat = 1,72)/
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-      data (zmn(lat, 2,15), lat = 1,72)/
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-      data (zmn(lat, 3,15), lat = 1,72)/
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-      data (zmn(lat, 4,15), lat = 1,72)/
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-      data (zmn(lat, 5,15), lat = 1,72)/
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-      data (zmn(lat, 6,15), lat = 1,72)/
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-      data (zmn(lat, 9,15), lat = 1,72)/
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-      data (zmn(lat,10,15), lat = 1,72)/
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-      data (zmn(lat,11,15), lat = 1,72)/
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-      data (zmn(lat,12,15), lat = 1,72)/
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-      data (zmn(lat,13,15), lat = 1,72)/
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-      data (zmn(lat,14,15), lat = 1,72)/
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-      data (zmn(lat,15,15), lat = 1,72)/
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-      data (zmn(lat, 1,16), lat = 1,72)/
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-      data (zmn(lat, 2,16), lat = 1,72)/
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-      data (zmn(lat, 3,16), lat = 1,72)/
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-      data (zmn(lat, 4,16), lat = 1,72)/
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-      data (zmn(lat, 5,16), lat = 1,72)/
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-      data (zmn(lat, 6,16), lat = 1,72)/
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-      data (zmn(lat, 9,16), lat = 1,72)/
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-      data (zmn(lat,10,16), lat = 1,72)/
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-      data (zmn(lat,11,16), lat = 1,72)/
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-      data (zmn(lat,12,16), lat = 1,72)/
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-      data (zmn(lat,13,16), lat = 1,72)/
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-      data (zmn(lat,14,16), lat = 1,72)/
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-      data (zmn(lat, 5,17), lat = 1,72)/
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-      data (zmn(lat, 8,17), lat = 1,72)/
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-      data (zmn(lat, 9,17), lat = 1,72)/
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-      data (zmn(lat,10,17), lat = 1,72)/
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-      data (zmn(lat,11,17), lat = 1,72)/
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-      data (zmn(lat,12,17), lat = 1,72)/
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-      data (zmn(lat,13,17), lat = 1,72)/
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-      data (zmn(lat, 6,18), lat = 1,72)/
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-      data (zmn(lat, 7,18), lat = 1,72)/
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-      data (zmn(lat, 8,18), lat = 1,72)/
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-      data (zmn(lat, 9,18), lat = 1,72)/
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-      data (zmn(lat,10,18), lat = 1,72)/
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-      data (zmn(lat,11,18), lat = 1,72)/
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-      data (zmn(lat,12,18), lat = 1,72)/
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-      data (zmn(lat,13,18), lat = 1,72)/
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-      data (zmn(lat,14,18), lat = 1,72)/
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-      data (zmn(lat,15,18), lat = 1,72)/
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-      data (zmn(lat,16,18), lat = 1,72)/
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-      data (zmn(lat,17,18), lat = 1,72)/
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-      data (zmn(lat,18,18), lat = 1,72)/
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-      data (zmn(lat, 0,19), lat = 1,72)/
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-      data (zmn(lat, 9,19), lat = 1,72)/
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-      data (zmn(lat,10,19), lat = 1,72)/
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-      data (zmn(lat,11,19), lat = 1,72)/
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-      data (zmn(lat,12,19), lat = 1,72)/
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-     |  -3.5937910167386d-11,-6.0397630376974d-14, 4.4369912768546d-15/
-      data (zmn(lat,13,19), lat = 1,72)/
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-     |   2.2766069454308d-12,-1.3689617464138d-15, 3.5358635447191d-15/
-      data (zmn(lat,14,19), lat = 1,72)/
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-      data (zmn(lat,15,19), lat = 1,72)/
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-     |   4.7538977437778d-02, 4.6563726754706d-02, 4.0773149297850d-02,
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-     |   5.8800618970781d-15,-1.2098842154480d-16,-8.2024845216703d-17/
-      data (zmn(lat,16,19), lat = 1,72)/
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-     |   7.0245206581581d-14, 4.7095529360238d-12, 1.3111413146243d-10,
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-     |   5.0328509085305d-05, 1.4737467739775d-04, 3.8481084314886d-04,
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-      data (zmn(lat, 5,20), lat = 1,72)/
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-      data (zmn(lat, 6,20), lat = 1,72)/
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-      data (zmn(lat, 7,20), lat = 1,72)/
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-      data (zmn(lat, 8,20), lat = 1,72)/
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-      data (zmn(lat, 9,20), lat = 1,72)/
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-      data (zmn(lat,10,20), lat = 1,72)/
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-      data (zmn(lat,11,20), lat = 1,72)/
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-      data (zmn(lat,12,20), lat = 1,72)/
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-      data (zmn(lat,13,20), lat = 1,72)/
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-      data (zmn(lat,14,20), lat = 1,72)/
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-      data (zmn(lat,15,20), lat = 1,72)/
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-      data (zmn(lat,16,20), lat = 1,72)/
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-      data (zmn(lat,17,20), lat = 1,72)/
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-      data (zmn(lat,18,20), lat = 1,72)/
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-      data (zmn(lat,19,20), lat = 1,72)/
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-      data (zmn(lat,20,20), lat = 1,72)/
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-      data (zmn(lat,10,21), lat = 1,72)/
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-      data (zmn(lat,11,21), lat = 1,72)/
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-      data (zmn(lat,12,21), lat = 1,72)/
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-      data (zmn(lat,13,21), lat = 1,72)/
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-      data (zmn(lat,14,21), lat = 1,72)/
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-      data (zmn(lat,15,21), lat = 1,72)/
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-      data (zmn(lat,16,21), lat = 1,72)/
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-      data (zmn(lat,17,21), lat = 1,72)/
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-      data (zmn(lat,18,21), lat = 1,72)/
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-      data (zmn(lat,19,21), lat = 1,72)/
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-      data (zmn(lat,20,21), lat = 1,72)/
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-      data (zmn(lat,21,21), lat = 1,72)/
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-      data (zmn(lat, 0,22), lat = 1,72)/
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-      data (zmn(lat, 1,22), lat = 1,72)/
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-      data (zmn(lat,10,22), lat = 1,72)/
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-      data (zmn(lat,12,22), lat = 1,72)/
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-      data (zmn(lat,13,22), lat = 1,72)/
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-      data (zmn(lat,14,22), lat = 1,72)/
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-      data (zmn(lat,15,22), lat = 1,72)/
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-      data (zmn(lat,16,22), lat = 1,72)/
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-      data (zmn(lat,17,22), lat = 1,72)/
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-      data (zmn(lat,18,22), lat = 1,72)/
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-      data (zmn(lat,19,22), lat = 1,72)/
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-      data (zmn(lat,20,22), lat = 1,72)/
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-      data (zmn(lat,21,22), lat = 1,72)/
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-      data (zmn(lat,22,22), lat = 1,72)/
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-      data (zmn(lat, 0,23), lat = 1,72)/
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-      data (zmn(lat, 1,23), lat = 1,72)/
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-      data (zmn(lat, 2,23), lat = 1,72)/
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-      data (zmn(lat, 0,24), lat = 1,72)/
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-      data (zmn(lat,14,24), lat = 1,72)/
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-      data (zmn(lat,15,24), lat = 1,72)/
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-      data (zmn(lat,16,24), lat = 1,72)/
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-      data (zmn(lat,17,24), lat = 1,72)/
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-      data (zmn(lat,18,24), lat = 1,72)/
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-      data (zmn(lat, 2,25), lat = 1,72)/
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-      data (zmn(lat, 4,25), lat = 1,72)/
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-      data (zmn(lat, 5,25), lat = 1,72)/
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-      data (zmn(lat, 6,25), lat = 1,72)/
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-      data (zmn(lat, 7,25), lat = 1,72)/
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-      data (zmn(lat, 8,25), lat = 1,72)/
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-      data (zmn(lat, 9,25), lat = 1,72)/
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-      data (zmn(lat,13,25), lat = 1,72)/
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-      data (zmn(lat,14,25), lat = 1,72)/
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-      data (zmn(lat,15,25), lat = 1,72)/
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-      data (zmn(lat,17,25), lat = 1,72)/
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-      data (zmn(lat,20,25), lat = 1,72)/
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-      data (zmn(lat,21,25), lat = 1,72)/
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-      data (zmn(lat,22,25), lat = 1,72)/
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-      data (zmn(lat,23,25), lat = 1,72)/
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-      data (zmn(lat,24,25), lat = 1,72)/
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-      data (zmn(lat,25,25), lat = 1,72)/
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-      data (zmn(lat, 1,26), lat = 1,72)/
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-      data (zmn(lat, 2,26), lat = 1,72)/
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-      data (zmn(lat, 3,26), lat = 1,72)/
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-      data (zmn(lat, 4,26), lat = 1,72)/
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-      data (zmn(lat, 5,26), lat = 1,72)/
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-      data (zmn(lat, 6,26), lat = 1,72)/
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-      data (zmn(lat, 7,26), lat = 1,72)/
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-      data (zmn(lat, 8,26), lat = 1,72)/
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-      data (zmn(lat, 9,26), lat = 1,72)/
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-      data (zmn(lat,10,26), lat = 1,72)/
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-      data (zmn(lat,11,26), lat = 1,72)/
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-      data (zmn(lat,12,26), lat = 1,72)/
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-      data (zmn(lat,13,26), lat = 1,72)/
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-      data (zmn(lat,14,26), lat = 1,72)/
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-      data (zmn(lat,15,26), lat = 1,72)/
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-      data (zmn(lat,16,26), lat = 1,72)/
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-      data (zmn(lat,17,26), lat = 1,72)/
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-      data (zmn(lat,18,26), lat = 1,72)/
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-      data (zmn(lat,19,26), lat = 1,72)/
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-     |   1.2285650283159d-16, 9.5422172555956d-17, 9.3983644924352d-17/
-      data (zmn(lat,20,26), lat = 1,72)/
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-      data (zmn(lat,21,26), lat = 1,72)/
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-      data (zmn(lat,22,26), lat = 1,72)/
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-      data (zmn(lat,23,26), lat = 1,72)/
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-      data (zmn(lat,24,26), lat = 1,72)/
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-      data (zmn(lat,25,26), lat = 1,72)/
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-      data (zmn(lat,26,26), lat = 1,72)/
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-      data (zmn(lat, 0,27), lat = 1,72)/
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-      data (zmn(lat, 1,27), lat = 1,72)/
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-      data (zmn(lat, 2,27), lat = 1,72)/
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-      data (zmn(lat, 3,27), lat = 1,72)/
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-      data (zmn(lat, 4,27), lat = 1,72)/
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-      data (zmn(lat, 5,27), lat = 1,72)/
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-      data (zmn(lat,10,27), lat = 1,72)/
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-      data (zmn(lat,13,27), lat = 1,72)/
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-      data (zmn(lat,17,27), lat = 1,72)/
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-      data (zmn(lat,18,27), lat = 1,72)/
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-      data (zmn(lat,19,27), lat = 1,72)/
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-      data (zmn(lat,20,27), lat = 1,72)/
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-      data (zmn(lat,21,27), lat = 1,72)/
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-      data (zmn(lat,22,27), lat = 1,72)/
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-      data (zmn(lat,23,27), lat = 1,72)/
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-      data (zmn(lat,24,27), lat = 1,72)/
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-      data (zmn(lat,25,27), lat = 1,72)/
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-      data (zmn(lat,26,27), lat = 1,72)/
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-      data (zmn(lat,27,27), lat = 1,72)/
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-      data (zmn(lat, 0,28), lat = 1,72)/
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-      data (zmn(lat, 1,28), lat = 1,72)/
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-      data (zmn(lat,10,28), lat = 1,72)/
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-      data (zmn(lat,11,28), lat = 1,72)/
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-      data (zmn(lat,12,28), lat = 1,72)/
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-      data (zmn(lat,13,28), lat = 1,72)/
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-      data (zmn(lat,14,28), lat = 1,72)/
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-      data (zmn(lat,15,28), lat = 1,72)/
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-      data (zmn(lat,16,28), lat = 1,72)/
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-      data (zmn(lat,17,28), lat = 1,72)/
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-      data (zmn(lat,21,28), lat = 1,72)/
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-      data (zmn(lat,22,28), lat = 1,72)/
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-      data (zmn(lat,23,28), lat = 1,72)/
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-      data (zmn(lat,24,28), lat = 1,72)/
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-      data (zmn(lat,25,28), lat = 1,72)/
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-      data (zmn(lat,10,29), lat = 1,72)/
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-      data (zmn(lat,12,29), lat = 1,72)/
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-      data (zmn(lat,20,29), lat = 1,72)/
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-      data (zmn(lat,28,29), lat = 1,72)/
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-      data (zmn(lat, 1,30), lat = 1,72)/
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-      data (zmn(lat, 2,30), lat = 1,72)/
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-      data (zmn(lat, 3,30), lat = 1,72)/
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-      data (zmn(lat, 4,30), lat = 1,72)/
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-      data (zmn(lat, 5,30), lat = 1,72)/
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-      data (zmn(lat, 6,30), lat = 1,72)/
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-      data (zmn(lat, 7,30), lat = 1,72)/
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-      data (zmn(lat, 8,30), lat = 1,72)/
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-      data (zmn(lat, 9,30), lat = 1,72)/
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-      data (zmn(lat,10,30), lat = 1,72)/
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-      data (zmn(lat,11,30), lat = 1,72)/
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-      data (zmn(lat,12,30), lat = 1,72)/
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-      data (zmn(lat,13,30), lat = 1,72)/
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-      data (zmn(lat,14,30), lat = 1,72)/
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-      data (zmn(lat,27,30), lat = 1,72)/
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-      data (zmn(lat,28,30), lat = 1,72)/
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-      data (zmn(lat,30,30), lat = 1,72)/
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-      data (zmn(lat, 0,31), lat = 1,72)/
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-      data (zmn(lat, 2,31), lat = 1,72)/
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-      data (zmn(lat, 3,31), lat = 1,72)/
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-      data (zmn(lat, 4,31), lat = 1,72)/
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-      data (zmn(lat, 5,31), lat = 1,72)/
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-      data (zmn(lat, 6,31), lat = 1,72)/
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-      data (zmn(lat, 7,31), lat = 1,72)/
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-      data (zmn(lat,16,31), lat = 1,72)/
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-      data (zmn(lat,17,31), lat = 1,72)/
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-      data (zmn(lat,18,31), lat = 1,72)/
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-      data (zmn(lat,19,31), lat = 1,72)/
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-      data (zmn(lat,20,31), lat = 1,72)/
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-      data (zmn(lat,21,31), lat = 1,72)/
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-      data (zmn(lat,22,31), lat = 1,72)/
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-      data (zmn(lat,23,31), lat = 1,72)/
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-      data (zmn(lat,24,31), lat = 1,72)/
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-      data (zmn(lat,25,31), lat = 1,72)/
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-      data (zmn(lat,26,31), lat = 1,72)/
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-      data (zmn(lat,27,31), lat = 1,72)/
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-      data (zmn(lat,28,31), lat = 1,72)/
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-      data (zmn(lat,29,31), lat = 1,72)/
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-      data (zmn(lat,30,31), lat = 1,72)/
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-      data (zmn(lat,31,31), lat = 1,72)/
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-      data (zmn(lat, 7,32), lat = 1,72)/
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-      data (zmn(lat, 8,32), lat = 1,72)/
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-      data (zmn(lat, 9,32), lat = 1,72)/
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-      data (zmn(lat,10,32), lat = 1,72)/
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-      data (zmn(lat,11,32), lat = 1,72)/
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-      data (zmn(lat,12,32), lat = 1,72)/
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-      data (zmn(lat,13,32), lat = 1,72)/
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-      data (zmn(lat,14,32), lat = 1,72)/
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-      data (zmn(lat,15,32), lat = 1,72)/
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-      data (zmn(lat,23,32), lat = 1,72)/
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-      data (zmn(lat,31,33), lat = 1,72)/
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-      data (zmn(lat,32,33), lat = 1,72)/
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-      data (zmn(lat,33,33), lat = 1,72)/
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-      data (zmn(lat, 0,34), lat = 1,72)/
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-      data (zmn(lat, 1,34), lat = 1,72)/
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-      data (zmn(lat, 2,34), lat = 1,72)/
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-      data (zmn(lat, 3,34), lat = 1,72)/
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-      data (zmn(lat, 4,34), lat = 1,72)/
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-      data (zmn(lat,14,34), lat = 1,72)/
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-      data (zmn(lat,15,34), lat = 1,72)/
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-      data (zmn(lat,16,34), lat = 1,72)/
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-      data (zmn(lat,17,34), lat = 1,72)/
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-      data (zmn(lat,18,34), lat = 1,72)/
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-      data (zmn(lat,19,34), lat = 1,72)/
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-      data (zmn(lat,20,34), lat = 1,72)/
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-      data (zmn(lat,30,34), lat = 1,72)/
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-      data (zmn(lat,31,34), lat = 1,72)/
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-      data (zmn(lat,32,34), lat = 1,72)/
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-      data (zmn(lat,33,34), lat = 1,72)/
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-      data (zmn(lat,34,34), lat = 1,72)/
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-      data (zmn(lat, 0,35), lat = 1,72)/
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-      data (zmn(lat, 1,35), lat = 1,72)/
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-      data (zmn(lat, 9,35), lat = 1,72)/
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-      data (zmn(lat,18,35), lat = 1,72)/
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-      data (zmn(lat,21,35), lat = 1,72)/
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-      data (zmn(lat,22,35), lat = 1,72)/
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-      data (zmn(lat,23,35), lat = 1,72)/
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-      data (zmn(lat,24,35), lat = 1,72)/
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-      data (zmn(lat,25,35), lat = 1,72)/
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-      data (zmn(lat, 2,36), lat = 1,72)/
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-      data (zmn(lat,30,37), lat = 1,72)/
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-      data (zmn(lat,32,37), lat = 1,72)/
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-      data (zmn(lat, 5,38), lat = 1,72)/
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-      data (zmn(lat, 6,38), lat = 1,72)/
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-      data (zmn(lat, 7,38), lat = 1,72)/
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-      data (zmn(lat, 8,38), lat = 1,72)/
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-      data (zmn(lat, 9,38), lat = 1,72)/
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-      data (zmn(lat,10,38), lat = 1,72)/
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-      data (zmn(lat,11,38), lat = 1,72)/
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-      data (zmn(lat,13,38), lat = 1,72)/
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-      data (zmn(lat,14,38), lat = 1,72)/
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-      data (zmn(lat,15,38), lat = 1,72)/
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-      data (zmn(lat,16,38), lat = 1,72)/
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-      data (zmn(lat,17,38), lat = 1,72)/
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-      data (zmn(lat,18,38), lat = 1,72)/
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-      data (zmn(lat,19,38), lat = 1,72)/
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-      data (zmn(lat,20,38), lat = 1,72)/
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-      data (zmn(lat,21,38), lat = 1,72)/
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-      data (zmn(lat,22,38), lat = 1,72)/
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-     |   1.3797506445491d-13, 3.5812505003816d-11, 2.7264205273584d-09,
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-     |   1.5106322734897d-16,-1.9080737439538d-16, 1.6810526668830d-16/
-      data (zmn(lat,23,38), lat = 1,72)/
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-     |   1.0397405115376d-16,-3.3468191196380d-16, 2.5384264052248d-16/
-      data (zmn(lat,24,38), lat = 1,72)/
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-     |  -1.8062968382426d-16, 1.7024642553023d-16, 3.1847307331357d-17/
-      data (zmn(lat,25,38), lat = 1,72)/
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-     |  -6.3847558704795d-17, 7.5414284863608d-14, 1.0964163063122d-11,
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-     |   1.8442562334434d-16,-9.0544993376895d-17,-3.5231201857567d-17/
-      data (zmn(lat,26,38), lat = 1,72)/
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-     |   4.0433567867298d-17,-1.1034906649415d-16,-8.3150986054123d-17/
-      data (zmn(lat,27,38), lat = 1,72)/
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-      data (zmn(lat,30,38), lat = 1,72)/
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-      data (zmn(lat,31,38), lat = 1,72)/
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-      data (zmn(lat,32,38), lat = 1,72)/
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-      data (zmn(lat,33,38), lat = 1,72)/
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-      data (zmn(lat,34,38), lat = 1,72)/
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-      data (zmn(lat,35,38), lat = 1,72)/
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-      data (zmn(lat,36,38), lat = 1,72)/
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-      data (zmn(lat,38,38), lat = 1,72)/
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-      data (zmn(lat, 0,39), lat = 1,72)/
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-      data (zmn(lat, 1,39), lat = 1,72)/
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-      data (zmn(lat, 2,39), lat = 1,72)/
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-      data (zmn(lat, 3,39), lat = 1,72)/
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-      data (zmn(lat, 4,39), lat = 1,72)/
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-      data (zmn(lat,12,39), lat = 1,72)/
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-      data (zmn(lat,22,39), lat = 1,72)/
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-      data (zmn(lat,24,39), lat = 1,72)/
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-      data (zmn(lat,25,39), lat = 1,72)/
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-      data (zmn(lat,26,39), lat = 1,72)/
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-      data (zmn(lat,27,39), lat = 1,72)/
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-      data (zmn(lat,28,39), lat = 1,72)/
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-      data (zmn(lat,37,39), lat = 1,72)/
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-      data (zmn(lat,38,39), lat = 1,72)/
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-      data (zmn(lat,39,39), lat = 1,72)/
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-      data (zmn(lat, 0,40), lat = 1,72)/
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-      data (zmn(lat, 1,40), lat = 1,72)/
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-      data (zmn(lat, 2,40), lat = 1,72)/
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-      data (zmn(lat, 3,40), lat = 1,72)/
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-      data (zmn(lat, 4,40), lat = 1,72)/
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-      data (zmn(lat,12,40), lat = 1,72)/
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-      data (zmn(lat,16,40), lat = 1,72)/
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-      data (zmn(lat,17,40), lat = 1,72)/
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-      data (zmn(lat,18,40), lat = 1,72)/
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-      data (zmn(lat,20,40), lat = 1,72)/
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-      data (zmn(lat,23,40), lat = 1,72)/
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-      data (zmn(lat,24,40), lat = 1,72)/
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-      data (zmn(lat,25,40), lat = 1,72)/
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-      data (zmn(lat,26,40), lat = 1,72)/
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-      data (zmn(lat,27,40), lat = 1,72)/
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-      data (zmn(lat,28,40), lat = 1,72)/
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-      data (zmn(lat,36,40), lat = 1,72)/
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-      data (zmn(lat,37,40), lat = 1,72)/
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-      data (zmn(lat,38,40), lat = 1,72)/
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-      data (zmn(lat,39,40), lat = 1,72)/
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-      data (zmn(lat,40,40), lat = 1,72)/
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-      data (zmn(lat, 0,41), lat = 1,72)/
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-      data (zmn(lat, 1,41), lat = 1,72)/
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-      data (zmn(lat, 2,41), lat = 1,72)/
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-      data (zmn(lat, 3,41), lat = 1,72)/
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-      data (zmn(lat,14,41), lat = 1,72)/
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-      data (zmn(lat,15,41), lat = 1,72)/
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-      data (zmn(lat,16,41), lat = 1,72)/
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-      data (zmn(lat,17,41), lat = 1,72)/
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-      data (zmn(lat,18,41), lat = 1,72)/
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-      data (zmn(lat,19,41), lat = 1,72)/
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-      data (zmn(lat,22,41), lat = 1,72)/
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-      data (zmn(lat,23,41), lat = 1,72)/
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-      data (zmn(lat,24,41), lat = 1,72)/
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-      data (zmn(lat,25,41), lat = 1,72)/
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-      data (zmn(lat,26,41), lat = 1,72)/
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-      data (zmn(lat,27,41), lat = 1,72)/
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-      data (zmn(lat,35,41), lat = 1,72)/
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-      data (zmn(lat, 1,42), lat = 1,72)/
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-      data (zmn(lat, 9,42), lat = 1,72)/
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-      data (zmn(lat,25,42), lat = 1,72)/
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-      data (zmn(lat,42,42), lat = 1,72)/
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-      data (zmn(lat, 2,43), lat = 1,72)/
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-      data (zmn(lat, 3,43), lat = 1,72)/
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-      data (zmn(lat, 4,43), lat = 1,72)/
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-      data (zmn(lat, 6,43), lat = 1,72)/
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-      data (zmn(lat,27,43), lat = 1,72)/
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-      data (zmn(lat,30,43), lat = 1,72)/
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-      data (zmn(lat,23,44), lat = 1,72)/
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-      data (zmn(lat,24,44), lat = 1,72)/
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-      data (zmn(lat,25,44), lat = 1,72)/
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-      data (zmn(lat,26,44), lat = 1,72)/
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-      data (zmn(lat,10,45), lat = 1,72)/
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-      data (zmn(lat,14,45), lat = 1,72)/
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-      data (zmn(lat,15,45), lat = 1,72)/
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-     |   1.0248217325950d-08, 4.0826096905333d-10,-4.2772954201139d-10/
-      data (zmn(lat,16,45), lat = 1,72)/
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-     |  -1.5382621367041d-09,-3.1975204663690d-11, 1.1154641426351d-11/
-      data (zmn(lat,17,45), lat = 1,72)/
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-     |   2.6086225742210d-10,-4.3716116804801d-11, 4.5723758977681d-11/
-      data (zmn(lat,18,45), lat = 1,72)/
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-     |  -3.3238262726113d-11, 3.0028980815834d-12,-1.0466604871059d-12/
-      data (zmn(lat,19,45), lat = 1,72)/
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-     |  -7.2948581971090d-13, 4.4937027194467d-12,-4.6581647738426d-12/
-      data (zmn(lat,20,45), lat = 1,72)/
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-     |   3.1631730599402d-14,-2.7378154252439d-13, 9.4480793470534d-14/
-      data (zmn(lat,21,45), lat = 1,72)/
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-     |   3.6660635010273d-03,-3.3817938073377d-02,-3.8546603189058d-03,
-     |   3.2984666018821d-02, 9.8509442604530d-03,-2.9591822348693d-02,
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-     |   5.1260221818257d-07, 9.6124614984211d-09, 5.3470912555533d-11,
-     |   4.5445960036356d-13,-4.3585973128697d-13, 4.4913881987915d-13/
-      data (zmn(lat,22,45), lat = 1,72)/
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-      data (zmn(lat,23,45), lat = 1,72)/
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-      data (zmn(lat,24,45), lat = 1,72)/
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-      data (zmn(lat,25,45), lat = 1,72)/
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-      data (zmn(lat,26,45), lat = 1,72)/
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-      data (zmn(lat,27,45), lat = 1,72)/
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-      data (zmn(lat,28,45), lat = 1,72)/
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-      data (zmn(lat,29,45), lat = 1,72)/
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-      data (zmn(lat,30,45), lat = 1,72)/
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-      data (zmn(lat,13,46), lat = 1,72)/
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-      data (zmn(lat,14,46), lat = 1,72)/
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-      data (zmn(lat,16,46), lat = 1,72)/
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-      data (zmn(lat,24,46), lat = 1,72)/
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-      data (zmn(lat,40,46), lat = 1,72)/
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-      data (zmn(lat, 1,47), lat = 1,72)/
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-      data (zmn(lat,18,47), lat = 1,72)/
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-      data (zmn(lat,19,47), lat = 1,72)/
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-      data (zmn(lat,20,47), lat = 1,72)/
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-      data (zmn(lat,21,47), lat = 1,72)/
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-      data (zmn(lat,22,47), lat = 1,72)/
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-      data (zmn(lat,23,47), lat = 1,72)/
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-      data (zmn(lat,24,47), lat = 1,72)/
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-      data (zmn(lat,25,47), lat = 1,72)/
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-      data (zmn(lat,17,48), lat = 1,72)/
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-      data (zmn(lat,29,48), lat = 1,72)/
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-      data (zmn(lat,33,48), lat = 1,72)/
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-      data (zmn(lat, 6,49), lat = 1,72)/
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-      data (zmn(lat, 8,49), lat = 1,72)/
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-      data (zmn(lat,16,49), lat = 1,72)/
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-      data (zmn(lat,22,49), lat = 1,72)/
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-      data (zmn(lat,24,49), lat = 1,72)/
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-      data (zmn(lat,28,49), lat = 1,72)/
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-      data (zmn(lat,29,49), lat = 1,72)/
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-      data (zmn(lat,30,49), lat = 1,72)/
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-      data (zmn(lat,32,49), lat = 1,72)/
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-      data (zmn(lat,48,49), lat = 1,72)/
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-      data (zmn(lat,17,50), lat = 1,72)/
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-      data (zmn(lat,19,50), lat = 1,72)/
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-      data (zmn(lat,20,50), lat = 1,72)/
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-      data (zmn(lat,21,50), lat = 1,72)/
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-      data (zmn(lat,22,50), lat = 1,72)/
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-      data (zmn(lat,23,50), lat = 1,72)/
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-      data (zmn(lat,25,50), lat = 1,72)/
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-      data (zmn(lat,26,50), lat = 1,72)/
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-      data (zmn(lat,27,50), lat = 1,72)/
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-      data (zmn(lat,28,50), lat = 1,72)/
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-      data (zmn(lat,29,50), lat = 1,72)/
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-      data (zmn(lat,30,50), lat = 1,72)/
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-      data (zmn(lat,44,50), lat = 1,72)/
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-      data (zmn(lat,48,50), lat = 1,72)/
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-      data (zmn(lat, 1,51), lat = 1,72)/
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-      data (zmn(lat, 2,51), lat = 1,72)/
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-      data (zmn(lat,21,52), lat = 1,72)/
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-      data (zmn(lat,37,52), lat = 1,72)/
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-      data (zmn(lat,39,52), lat = 1,72)/
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-      data (zmn(lat,49,52), lat = 1,72)/
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-      data (zmn(lat,50,52), lat = 1,72)/
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-      data (zmn(lat,51,52), lat = 1,72)/
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-      data (zmn(lat,52,52), lat = 1,72)/
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-      data (zmn(lat, 0,53), lat = 1,72)/
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-      data (zmn(lat, 1,53), lat = 1,72)/
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-      data (zmn(lat, 2,53), lat = 1,72)/
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-      data (zmn(lat, 3,53), lat = 1,72)/
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-      data (zmn(lat, 6,53), lat = 1,72)/
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-      data (zmn(lat, 7,53), lat = 1,72)/
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-      data (zmn(lat, 8,53), lat = 1,72)/
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-      data (zmn(lat, 9,53), lat = 1,72)/
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-      data (zmn(lat,10,53), lat = 1,72)/
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-      data (zmn(lat,11,53), lat = 1,72)/
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-      data (zmn(lat,22,53), lat = 1,72)/
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-      data (zmn(lat,25,53), lat = 1,72)/
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-      data (zmn(lat,26,53), lat = 1,72)/
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-      data (zmn(lat,27,53), lat = 1,72)/
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-      data (zmn(lat,28,53), lat = 1,72)/
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-      data (zmn(lat,29,53), lat = 1,72)/
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-      data (zmn(lat,30,53), lat = 1,72)/
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-      data (zmn(lat,31,53), lat = 1,72)/
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-      data (zmn(lat,32,53), lat = 1,72)/
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-      data (zmn(lat,33,53), lat = 1,72)/
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-      data (zmn(lat,34,53), lat = 1,72)/
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-      data (zmn(lat,35,53), lat = 1,72)/
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-      data (zmn(lat,38,53), lat = 1,72)/
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-      data (zmn(lat,39,53), lat = 1,72)/
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-      data (zmn(lat,40,53), lat = 1,72)/
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-      data (zmn(lat,41,53), lat = 1,72)/
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-      data (zmn(lat,42,53), lat = 1,72)/
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-      data (zmn(lat,43,53), lat = 1,72)/
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-      data (zmn(lat,52,53), lat = 1,72)/
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-      data (zmn(lat,53,53), lat = 1,72)/
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-      data (zmn(lat, 0,54), lat = 1,72)/
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-      data (zmn(lat, 1,54), lat = 1,72)/
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-      data (zmn(lat, 2,54), lat = 1,72)/
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-      data (zmn(lat, 3,54), lat = 1,72)/
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-      data (zmn(lat, 4,54), lat = 1,72)/
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-      data (zmn(lat, 5,54), lat = 1,72)/
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-      data (zmn(lat,13,54), lat = 1,72)/
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-      data (zmn(lat,21,54), lat = 1,72)/
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-      data (zmn(lat,22,54), lat = 1,72)/
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-      data (zmn(lat,24,54), lat = 1,72)/
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-      data (zmn(lat,25,54), lat = 1,72)/
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-      data (zmn(lat,26,54), lat = 1,72)/
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-      data (zmn(lat,27,54), lat = 1,72)/
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-      data (zmn(lat,28,54), lat = 1,72)/
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-      data (zmn(lat,29,54), lat = 1,72)/
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-      data (zmn(lat,18,55), lat = 1,72)/
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-      data (zmn(lat,19,55), lat = 1,72)/
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-      data (zmn(lat,20,55), lat = 1,72)/
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-      data (zmn(lat,21,55), lat = 1,72)/
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-      data (zmn(lat,22,55), lat = 1,72)/
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-      data (zmn(lat,34,55), lat = 1,72)/
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-      data (zmn(lat,36,55), lat = 1,72)/
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-      data (zmn(lat,37,55), lat = 1,72)/
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-      data (zmn(lat,38,55), lat = 1,72)/
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-      data (zmn(lat,22,56), lat = 1,72)/
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-      data (zmn(lat,36,56), lat = 1,72)/
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-      data (zmn(lat,38,56), lat = 1,72)/
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-      data (zmn(lat,19,59), lat = 1,72)/
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-      data (zmn(lat,20,59), lat = 1,72)/
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-      data (zmn(lat,21,59), lat = 1,72)/
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-      data (zmn(lat,22,59), lat = 1,72)/
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-      data (zmn(lat,23,59), lat = 1,72)/
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-      data (zmn(lat,24,59), lat = 1,72)/
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-      data (zmn(lat,25,59), lat = 1,72)/
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-      data (zmn(lat,26,59), lat = 1,72)/
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-      data (zmn(lat,27,59), lat = 1,72)/
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-      data (zmn(lat,28,59), lat = 1,72)/
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-      data (zmn(lat,29,59), lat = 1,72)/
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-      data (zmn(lat,30,59), lat = 1,72)/
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-      data (zmn(lat,31,59), lat = 1,72)/
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-      data (zmn(lat,32,59), lat = 1,72)/
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-      data (zmn(lat,33,59), lat = 1,72)/
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-      data (zmn(lat,53,59), lat = 1,72)/
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-      data (zmn(lat,54,59), lat = 1,72)/
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-      data (zmn(lat,55,59), lat = 1,72)/
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-      data (zmn(lat,56,59), lat = 1,72)/
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-      data (zmn(lat,57,59), lat = 1,72)/
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-      data (zmn(lat, 5,60), lat = 1,72)/
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-      data (zmn(lat,29,60), lat = 1,72)/
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-      data (zmn(lat,37,60), lat = 1,72)/
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-      data (zmn(lat,41,60), lat = 1,72)/
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-      data (zmn(lat,45,60), lat = 1,72)/
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-      data (zmn(lat,29,62), lat = 1,72)/
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-      data (zmn(lat,30,62), lat = 1,72)/
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-      data (zmn(lat,31,62), lat = 1,72)/
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-      data (zmn(lat,32,62), lat = 1,72)/
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-      data (zmn(lat,33,62), lat = 1,72)/
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-      data (zmn(lat,34,62), lat = 1,72)/
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-      data (zmn(lat,42,62), lat = 1,72)/
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-      data (zmn(lat,50,62), lat = 1,72)/
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-      data (zmn(lat,42,68), lat = 1,72)/
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-      data (zmn(lat,59,70), lat = 1,72)/
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-      data (zmn(lat,60,70), lat = 1,72)/
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-      data (zmn(lat,61,70), lat = 1,72)/
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-      data (zmn(lat,62,70), lat = 1,72)/
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-      data (zmn(lat,63,70), lat = 1,72)/
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-     |   1.1418483020225d-16, 9.1547445007862d-17,-2.1902886083193d-16,
-     |  -5.2395958702498d-17,-1.1007922862680d-17,-1.5266062337672d-16,
-     |  -7.1705199674179d-17, 1.6881126363313d-17,-1.0622627401644d-16,
-     |   5.5325402595132d-17,-8.5773850857478d-17,-4.3344357854421d-17/
-      data (zmn(lat,66,71), lat = 1,72)/
-     |  -5.0479661545848d-17,-2.0145717602096d-17, 6.3262923970649d-17,
-     |   1.3450851879913d-16, 1.3795329444918d-16, 1.9880557804752d-17,
-     |  -6.8309635961324d-17,-7.3324507711022d-17, 4.8313090246372d-18,
-     |   1.1684940976802d-16, 1.0058979078407d-16,-6.4132648377769d-17,
-     |  -1.8961449347209d-16, 5.4479516310823d-15, 3.1638057447301d-13,
-     |   1.2006214973623d-11, 3.2310133497925d-10, 6.3611098111370d-09,
-     |   9.3929506481367d-08, 1.0613852210273d-06, 9.3261379993205d-06,
-     |   6.4516773087006d-05, 3.5455720338784d-04, 1.5564023122211d-03,
-     |   5.4653193547084d-03, 1.5293844553316d-02, 3.3701563117460d-02,
-     |   5.6919542723034d-02, 6.9141143959558d-02, 4.9424825660104d-02,
-     |  -3.4015347722319d-03,-5.2111354290735d-02,-4.7716049207310d-02,
-     |   9.6196462543872d-03, 5.4938396887765d-02, 3.1724325190504d-02,
-     |  -3.1724325190504d-02,-5.4938396887765d-02,-9.6196462543874d-03,
-     |   4.7716049207310d-02, 5.2111354290735d-02, 3.4015347722319d-03,
-     |  -4.9424825660104d-02,-6.9141143959558d-02,-5.6919542723034d-02,
-     |  -3.3701563117460d-02,-1.5293844553316d-02,-5.4653193547084d-03,
-     |  -1.5564023122210d-03,-3.5455720338777d-04,-6.4516773087003d-05,
-     |  -9.3261379993416d-06,-1.0613852209945d-06,-9.3929506504802d-08,
-     |  -6.3611098007380d-09,-3.2310148834299d-10,-1.2006299832031d-11,
-     |  -3.1640007318465d-13,-5.4265920963449d-15, 3.0779620787637d-16,
-     |  -2.3961924145028d-17,-1.4009293107383d-16,-1.8710577640081d-16,
-     |   7.3769599506775d-17, 2.7685474177408d-16, 1.6572320903132d-16,
-     |  -1.1627025066078d-17,-1.6678614113043d-17, 2.5582007252444d-18,
-     |  -9.7156982375726d-17, 1.2153155317259d-16, 6.0582391398788d-17/
-      data (zmn(lat,68,71), lat = 1,72)/
-     |   1.2921413498988d-16, 1.1534907311265d-16, 1.0683791089230d-16,
-     |   9.1565610285885d-17, 5.4539671502995d-17, 2.4887731377202d-17,
-     |  -5.3179996587645d-17,-1.3254024113016d-16,-1.3857155557126d-16,
-     |  -6.9477505050077d-17,-7.7792626050910d-18,-5.3627299752609d-18,
-     |  -7.4932293256850d-17,-1.1718465566630d-16, 5.7072450622121d-15,
-     |   2.7200488001552d-13, 8.8055088069743d-12, 2.0827808055583d-10,
-     |   3.6985515347891d-09, 5.0399018572865d-08, 5.3657584567801d-07,
-     |   4.5295031332683d-06, 3.0677966000120d-05, 1.6825425626455d-04,
-     |   7.5226100289042d-04, 2.7527365638849d-03, 8.2511233239671d-03,
-     |   2.0190171617399d-02, 3.9932471287217d-02, 6.2442151829472d-02,
-     |   7.3396918961939d-02, 5.5969549180907d-02, 8.2466641698179d-03,
-     |  -4.4334899748654d-02,-6.2520402840720d-02,-2.9102289655655d-02,
-     |   2.9102289655655d-02, 6.2520402840720d-02, 4.4334899748654d-02,
-     |  -8.2466641698178d-03,-5.5969549180907d-02,-7.3396918961939d-02,
-     |  -6.2442151829472d-02,-3.9932471287217d-02,-2.0190171617399d-02,
-     |  -8.2511233239671d-03,-2.7527365638848d-03,-7.5226100289040d-04,
-     |  -1.6825425626460d-04,-3.0677966000149d-05,-4.5295031332642d-06,
-     |  -5.3657584565312d-07,-5.0399018613961d-08,-3.6985515021210d-09,
-     |  -2.0827809236477d-10,-8.8054391630345d-12,-2.7199712538042d-13,
-     |  -5.7125230629699d-15, 5.6830121337575d-17,-2.1190377301504d-17,
-     |  -4.2365615636835d-17, 8.6224980945133d-17, 1.2346475631039d-16,
-     |   7.3778586603739d-17, 2.9787312802431d-17, 1.1834574259261d-16,
-     |   4.4116025094313d-17,-1.4406182621239d-16,-8.4460284317868d-17,
-     |  -6.2287402907492d-17,-1.2307716386178d-16,-1.4690977544417d-16/
-      data (zmn(lat,70,71), lat = 1,72)/
-     |  -6.7748672227140d-17,-7.1885661618087d-17,-4.4913689079448d-17,
-     |  -1.6874572197304d-17, 2.1109676806360d-17, 6.1334853556834d-17,
-     |   9.8069718840855d-17, 1.1431541531352d-16, 1.2045311038691d-16,
-     |   1.0572862246455d-16, 8.1151641015087d-17, 2.5355758294919d-17,
-     |  -5.3492401250770d-17,-9.8740397355392d-17,-9.2900674268877d-17,
-     |   3.0026806145156d-15, 1.2255973354639d-13, 3.4690083457289d-12,
-     |   7.3639625996661d-11, 1.2012708786711d-09, 1.5356820249919d-08,
-     |   1.5640029083020d-07, 1.2866555115895d-06, 8.6501465039818d-06,
-     |   4.7987446663452d-05, 2.2142395828086d-04, 8.5517448100740d-04,
-     |   2.7775003056130d-03, 7.6085659771567d-03, 1.7594696095698d-02,
-     |   3.4281494076792d-02, 5.5926241626109d-02, 7.5309494806735d-02,
-     |   8.1041390589772d-02, 6.3846641934178d-02, 2.4380600481616d-02,
-     |  -2.4380600481616d-02,-6.3846641934178d-02,-8.1041390589772d-02,
-     |  -7.5309494806735d-02,-5.5926241626109d-02,-3.4281494076792d-02,
-     |  -1.7594696095699d-02,-7.6085659771568d-03,-2.7775003056130d-03,
-     |  -8.5517448100743d-04,-2.2142395828087d-04,-4.7987446663458d-05,
-     |  -8.6501465039645d-06,-1.2866555115687d-06,-1.5640029079197d-07,
-     |  -1.5356820237422d-08,-1.2012708638120d-09,-7.3639621822218d-11,
-     |  -3.4690029247167d-12,-1.2254238016909d-13,-2.9721898510771d-15,
-     |   4.6912123590160d-17, 8.6606682920375d-17, 1.1076155087962d-16,
-     |   2.4021531494898d-17,-1.0656151633475d-16,-5.1523971756587d-17,
-     |  -1.1345328521608d-16,-8.5223377403937d-17,-1.2039433180260d-16,
-     |  -2.6659058228669d-17,-7.6182533553943d-17,-1.0634368497747d-18,
-     |   6.7663933855045d-17,-8.4044761590851d-18, 9.5128682266402d-17/
-
-#endif
-      end module he_coef1_dres
diff --git a/src/he_coefs.F90 b/src/he_coefs.F90
new file mode 100644
index 0000000..528cac9
--- /dev/null
+++ b/src/he_coefs.F90
@@ -0,0 +1,91 @@
+module he_coefs_module
+  implicit none
+
+  integer :: nlat_he,nlon_he,ntrigs
+  integer,dimension(13) :: ifax
+  real,dimension(:),allocatable :: trigs
+  real,dimension(:),allocatable :: glat_he,glon_he
+  real,dimension(:,:,:),allocatable :: pmn,zmn
+
+  contains
+!-----------------------------------------------------------------------
+  subroutine init_he_coefs
+
+    use input_module,only: he_coefs_ncfile
+    use netcdf,only: nf90_open,nf90_inq_dimid,nf90_inquire_dimension, &
+      nf90_inq_varid,nf90_get_var,nf90_close,nf90_strerror,nf90_nowrite,nf90_noerr
+
+    integer :: stat,ncid,dimid,varid,length,i
+    real :: res
+    external :: shutdown
+
+    stat = nf90_open(trim(he_coefs_ncfile),nf90_nowrite,ncid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at opening '//trim(he_coefs_ncfile))
+
+    stat = nf90_inq_dimid(ncid,'lat1',dimid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat1 ID')
+
+    stat = nf90_inquire_dimension(ncid,dimid,len=nlat_he)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat1 length')
+
+    stat = nf90_inq_dimid(ncid,'lat2',dimid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat2 ID')
+
+    stat = nf90_inquire_dimension(ncid,dimid,len=length)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat2 length')
+
+    if (length /= nlat_he-1) call shutdown('Invalid Helium coefficient file')
+
+    stat = nf90_inq_dimid(ncid,'lat3',dimid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat3 ID')
+
+    stat = nf90_inquire_dimension(ncid,dimid,len=length)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring dimension lat3 length')
+
+    if (length /= nlat_he) call shutdown('Invalid Helium coefficient file')
+
+    allocate(pmn(nlat_he,0:nlat_he-2,0:nlat_he-1))
+    allocate(zmn(nlat_he,0:nlat_he-2,0:nlat_he-1))
+
+    stat = nf90_inq_varid(ncid,'pmn',varid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring variable pmn ID')
+
+    stat = nf90_get_var(ncid,varid,pmn)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at getting variable pmn')
+
+    stat = nf90_inq_varid(ncid,'zmn',varid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at inquiring variable zmn ID')
+
+    stat = nf90_get_var(ncid,varid,zmn)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at getting variable zmn')
+
+    stat = nf90_close(ncid)
+    if (stat /= nf90_noerr) &
+      call shutdown(trim(nf90_strerror(stat))//' at closing '//trim(he_coefs_ncfile))
+
+    nlon_he = nlat_he*2
+    res = 180./nlat_he
+
+    allocate(glat_he(nlat_he))
+    allocate(glon_he(nlon_he))
+
+    glat_he = (/(-90.-res/2.+i*res,i=1,nlat_he)/)
+    glon_he = (/(-180.+(i-1)*res,i=1,nlon_he)/)
+
+    ntrigs = 3*nlon_he/2+1
+    allocate(trigs(ntrigs))
+
+  end subroutine init_he_coefs
+!-----------------------------------------------------------------------
+end module he_coefs_module
diff --git a/src/he_coefs_sres.F b/src/he_coefs_sres.F
deleted file mode 100644
index 0c2d9d9..0000000
--- a/src/he_coefs_sres.F
+++ /dev/null
@@ -1,16873 +0,0 @@
-#include <defs.h>
-      module he_coefs_sres
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!
-! Associated Legendre functions, normalized by: 
-! (-1)^M * sqrt((N+1/2)*(N-M)!/(N+M)!) for Helium at 5.0-deg resolution, 
-! obtained from Eric Sutton (eric.sutton.5@us.af.mil) on MMM DD, YYYY.
-!
-      integer :: lat
-!
-#if (NLAT==36 && NLON==72)
-! Data statements are used only if 5.0-deg resolution.
-!
-      real,dimension(36,0:34,0:35) :: pmn,zmn
-!
-!     Pmn Basis Set pmn(lat,m,n)
-      data (pmn(lat, 0, 0), lat = 1,36)/
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01,
-     |   7.0710678118655d-01, 7.0710678118655d-01, 7.0710678118655d-01/
-      data (pmn(lat, 0, 1), lat = 1,36)/
-     |   1.2235791856553d+00, 1.2142670092351d+00, 1.1957135276802d+00,
-     |   1.1680599441881d+00, 1.1315167192269d+00, 1.0863619688038d+00,
-     |   1.0329393478349d+00, 9.7165543472308d-01, 9.0297663705145d-01,
-     |   8.2742564193966d-01, 7.4557743807945d-01, 6.5805493972348d-01,
-     |   5.6552424593179d-01, 4.6868957115567d-01, 3.6828788574057d-01,
-     |   2.6508330713667d-01, 1.5986128450378d-01, 5.3422620968938d-02,
-     |  -5.3422620968938d-02,-1.5986128450378d-01,-2.6508330713667d-01,
-     |  -3.6828788574057d-01,-4.6868957115567d-01,-5.6552424593179d-01,
-     |  -6.5805493972348d-01,-7.4557743807945d-01,-8.2742564193966d-01,
-     |  -9.0297663705145d-01,-9.7165543472308d-01,-1.0329393478349d+00,
-     |  -1.0863619688038d+00,-1.1315167192269d+00,-1.1680599441881d+00,
-     |  -1.1957135276802d+00,-1.2142670092351d+00,-1.2235791856553d+00/
-      data (pmn(lat, 1, 1), lat = 1,36)/
-     |   3.7775497555894d-02, 1.1303899832182d-01, 1.8744220405569d-01,
-     |   2.6041886143601d-01, 3.3141357403559d-01, 3.9988602922377d-01,
-     |   4.6531511027178d-01, 5.2720286236567d-01, 5.8507828234316d-01,
-     |   6.3850090331210d-01, 6.8706414686945d-01, 7.3039841740845d-01,
-     |   7.6817391496434d-01, 8.0010314519127d-01, 8.2594310736780d-01,
-     |   8.4549714377918d-01, 8.5861643640126d-01, 8.6520113949555d-01,
-     |   8.6520113949555d-01, 8.5861643640126d-01, 8.4549714377918d-01,
-     |   8.2594310736780d-01, 8.0010314519127d-01, 7.6817391496434d-01,
-     |   7.3039841740845d-01, 6.8706414686945d-01, 6.3850090331210d-01,
-     |   5.8507828234317d-01, 5.2720286236567d-01, 4.6531511027178d-01,
-     |   3.9988602922377d-01, 3.3141357403559d-01, 2.6041886143601d-01,
-     |   1.8744220405569d-01, 1.1303899832182d-01, 3.7775497555894d-02/
-      data (pmn(lat, 0, 2), lat = 1,36)/
-     |   1.5766262971287d+00, 1.5407318307161d+00, 1.4700335330895d+00,
-     |   1.3666795362472d+00, 1.2338101990835d+00, 1.0754626891730d+00,
-     |   8.9644831547672d-01, 7.0220633915373d-01, 4.9863870436341d-01,
-     |   2.9193071067868d-01, 8.8363075888367d-02,-1.0587890043463d-01,
-     |  -2.8489327413092d-01,-4.4324078404137d-01,-5.7611012120508d-01,
-     |  -6.7946411804744d-01,-7.5016241567405d-01,-7.8605688208659d-01,
-     |  -7.8605688208659d-01,-7.5016241567405d-01,-6.7946411804744d-01,
-     |  -5.7611012120508d-01,-4.4324078404137d-01,-2.8489327413092d-01,
-     |  -1.0587890043463d-01, 8.8363075888367d-02, 2.9193071067868d-01,
-     |   4.9863870436341d-01, 7.0220633915373d-01, 8.9644831547672d-01,
-     |   1.0754626891730d+00, 1.2338101990835d+00, 1.3666795362472d+00,
-     |   1.4700335330895d+00, 1.5407318307161d+00, 1.5766262971287d+00/
-      data (pmn(lat, 1, 2), lat = 1,36)/
-     |   8.4388185047002d-02, 2.5060046284084d-01, 4.0919837238121d-01,
-     |   5.5536299644115d-01, 6.8465319688146d-01, 7.9314055638576d-01,
-     |   8.7752874143276d-01, 9.3525365972230d-01, 9.6456136882236d-01,
-     |   9.6456136882236d-01, 9.3525365972230d-01, 8.7752874143276d-01,
-     |   7.9314055638576d-01, 6.8465319688146d-01, 5.5536299644115d-01,
-     |   4.0919837238121d-01, 2.5060046284084d-01, 8.4388185047004d-02,
-     |  -8.4388185047004d-02,-2.5060046284084d-01,-4.0919837238121d-01,
-     |  -5.5536299644115d-01,-6.8465319688146d-01,-7.9314055638576d-01,
-     |  -8.7752874143276d-01,-9.3525365972230d-01,-9.6456136882236d-01,
-     |  -9.6456136882236d-01,-9.3525365972230d-01,-8.7752874143276d-01,
-     |  -7.9314055638576d-01,-6.8465319688146d-01,-5.5536299644115d-01,
-     |  -4.0919837238121d-01,-2.5060046284084d-01,-8.4388185047002d-02/
-      data (pmn(lat, 2, 2), lat = 1,36)/
-     |   1.8422338647450d-03, 1.6496088414777d-02, 4.5358547559547d-02,
-     |   8.7552640083049d-02, 1.4179631983520d-01, 2.0644142005535d-01,
-     |   2.7952373208532d-01, 3.5882268685551d-01, 4.4192882575242d-01,
-     |   5.2631701079943d-01, 6.0942314969635d-01, 6.8872210446653d-01,
-     |   7.6180441649650d-01, 8.2644951671666d-01, 8.8069319646881d-01,
-     |   9.2288728899231d-01, 9.5174974813708d-01, 9.6640360268711d-01,
-     |   9.6640360268711d-01, 9.5174974813708d-01, 9.2288728899231d-01,
-     |   8.8069319646881d-01, 8.2644951671666d-01, 7.6180441649650d-01,
-     |   6.8872210446653d-01, 6.0942314969635d-01, 5.2631701079943d-01,
-     |   4.4192882575242d-01, 3.5882268685551d-01, 2.7952373208532d-01,
-     |   2.0644142005535d-01, 1.4179631983520d-01, 8.7552640083049d-02,
-     |   4.5358547559547d-02, 1.6496088414777d-02, 1.8422338647450d-03/
-      data (pmn(lat, 0, 3), lat = 1,36)/
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-      data (pmn(lat, 1, 3), lat = 1,36)/
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-      data (pmn(lat, 2, 3), lat = 1,36)/
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-      data (pmn(lat, 3, 3), lat = 1,36)/
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-      data (pmn(lat, 0, 4), lat = 1,36)/
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-      data (pmn(lat, 1, 4), lat = 1,36)/
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-      data (pmn(lat, 2, 4), lat = 1,36)/
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-      data (pmn(lat, 3, 4), lat = 1,36)/
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-      data (pmn(lat, 4, 4), lat = 1,36)/
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-      data (pmn(lat, 0, 5), lat = 1,36)/
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-      data (pmn(lat, 1, 5), lat = 1,36)/
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-      data (pmn(lat, 2, 5), lat = 1,36)/
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-      data (pmn(lat, 3, 5), lat = 1,36)/
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-      data (pmn(lat, 4, 5), lat = 1,36)/
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-      data (pmn(lat, 5, 5), lat = 1,36)/
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-      data (pmn(lat, 0, 6), lat = 1,36)/
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-      data (pmn(lat, 1, 6), lat = 1,36)/
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-      data (pmn(lat, 2, 6), lat = 1,36)/
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-      data (pmn(lat, 3, 6), lat = 1,36)/
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-      data (pmn(lat, 4, 6), lat = 1,36)/
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-      data (pmn(lat, 5, 6), lat = 1,36)/
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-      data (pmn(lat, 6, 6), lat = 1,36)/
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-      data (pmn(lat, 0, 7), lat = 1,36)/
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-      data (pmn(lat, 1, 7), lat = 1,36)/
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-      data (pmn(lat, 2, 7), lat = 1,36)/
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-      data (pmn(lat, 3, 7), lat = 1,36)/
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-      data (pmn(lat, 4, 7), lat = 1,36)/
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-      data (pmn(lat, 5, 7), lat = 1,36)/
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-      data (pmn(lat, 6, 7), lat = 1,36)/
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-      data (pmn(lat, 7, 7), lat = 1,36)/
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-      data (pmn(lat, 0, 8), lat = 1,36)/
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-      data (pmn(lat, 1, 8), lat = 1,36)/
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-      data (pmn(lat, 2, 8), lat = 1,36)/
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-      data (pmn(lat, 3, 8), lat = 1,36)/
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-      data (pmn(lat, 4, 8), lat = 1,36)/
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-      data (pmn(lat, 5, 8), lat = 1,36)/
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-     |  -1.0678291599519d-02,-8.9918879308453d-04,-3.8493988469786d-06/
-      data (pmn(lat, 6, 8), lat = 1,36)/
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-     |   1.2898594209845d-03, 6.4131487589660d-05, 9.0798213511372d-08/
-      data (pmn(lat, 7, 8), lat = 1,36)/
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-     |   1.0957989822133d-03, 5.7386763531776d-03, 2.0515725751181d-02,
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-     |  -1.1226839907650d-04,-3.3072803426958d-06,-1.5511798146873d-09/
-      data (pmn(lat, 8, 8), lat = 1,36)/
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-     |   8.6376022986666d-05, 5.9425939388898d-04, 2.6699527110552d-03,
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-     |   6.2223262146820d-06, 1.0885292933440d-07, 1.6931493332474d-11/
-      data (pmn(lat, 0, 9), lat = 1,36)/
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-      data (pmn(lat, 1, 9), lat = 1,36)/
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-      data (pmn(lat, 2, 9), lat = 1,36)/
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-      data (pmn(lat, 3, 9), lat = 1,36)/
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-      data (pmn(lat, 4, 9), lat = 1,36)/
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-      data (pmn(lat, 5, 9), lat = 1,36)/
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-      data (pmn(lat, 6, 9), lat = 1,36)/
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-      data (pmn(lat, 7, 9), lat = 1,36)/
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-     |   5.1126982829383d-01, 2.9026591128235d-01, 1.3849421556572d-01,
-     |   5.3492703378520d-02, 1.5683471169703d-02, 3.1055669299327d-03,
-     |   3.2673846520471d-04, 9.7941374423152d-06, 4.6333401349062d-09/
-      data (pmn(lat, 8, 9), lat = 1,36)/
-     |   7.3732424612505d-11, 4.7041968575253d-07, 2.6479579826112d-05,
-     |   3.5907858572194d-04, 2.3931405303106d-03, 1.0323080020814d-02,
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-      data (pmn(lat, 9, 9), lat = 1,36)/
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-     |   2.6685512995299d-05, 2.3364487766520d-04, 1.2666298457373d-03,
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-     |   1.3836621928176d-06, 1.4597495076975d-08, 7.5877912340921d-13/
-      data (pmn(lat, 0,10), lat = 1,36)/
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-     |   1.9543841512119d-01, 1.8832849384169d+00, 3.0729116272129d+00/
-      data (pmn(lat, 1,10), lat = 1,36)/
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-      data (pmn(lat, 2,10), lat = 1,36)/
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-     |   1.5805905493195d+00, 1.1108936776275d+00, 1.4192430580174d-01,
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-     |   1.3333608037285d+00, 6.4631658414883d-01, 8.2620881285756d-02/
-      data (pmn(lat, 3,10), lat = 1,36)/
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-     |   1.1010388033107d+00, 1.4199211410033d+00, 1.2219013478713d+00,
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-     |  -5.6226548426070d-01,-1.5004013524142d-01,-6.1552481958767d-03/
-      data (pmn(lat, 4,10), lat = 1,36)/
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-     |   4.8824405665859d-01, 9.3328197411313d-01, 1.2764443411038d+00,
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-     |   1.6360720457466d-01, 2.4935221293294d-02, 3.3326928627493d-04/
-      data (pmn(lat, 5,10), lat = 1,36)/
-     |   1.3821728523595d-05, 3.1509902696115d-03, 3.5599968683532d-02,
-     |   1.5688801982031d-01, 4.1833073880219d-01, 7.9267843460865d-01,
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-     |  -3.5599968683532d-02,-3.1509902696115d-03,-1.3821728523595d-05/
-      data (pmn(lat, 6,10), lat = 1,36)/
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-     |   3.8456172438425d-02, 1.3925194047582d-01, 3.4858027703058d-01,
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-     |   1.1982494557143d+00, 9.9593079706317d-01, 6.6202208725283d-01,
-     |   3.4858027703058d-01, 1.3925194047582d-01, 3.8456172438425d-02,
-     |   6.0034613261251d-03, 3.1139407233950d-04, 4.5014724541222d-07/
-      data (pmn(lat, 7,10), lat = 1,36)/
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-     |   7.3196828168445d-03, 3.5476074324496d-02, 1.1465463335188d-01,
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-     |  -7.9340300285865d-04,-2.4248700955252d-05,-1.1581739806560d-08/
-      data (pmn(lat, 8,10), lat = 1,36)/
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-     |   1.0741325287560d-03, 6.9068205840062d-03, 2.8444892576104d-02,
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-     |   8.1312863011387d-05, 1.4695682730374d-06, 2.3230206586841d-10/
-      data (pmn(lat, 9,10), lat = 1,36)/
-     |   3.4738532802953d-12, 6.6321837624520d-08, 6.1904359564184d-06,
-     |   1.1662850399436d-04, 9.8919350800039d-04, 5.1485897585245d-03,
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-     |  -6.1904359564185d-06,-6.6321837624520d-08,-3.4738532802953d-12/
-      data (pmn(lat,10,10), lat = 1,36)/
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-     |   8.2226538790885d-06, 9.1620060514287d-05, 5.9930785022305d-04,
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-     |   1.0700623893840d+00, 1.2481869287369d+00, 1.3472819113196d+00,
-     |   1.3472819113196d+00, 1.2481869287369d+00, 1.0700623893840d+00,
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-     |   2.4767711866174d-01, 1.3435706695850d-01, 6.4550975779779d-02,
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-     |   3.0687497535416d-07, 1.9524083470880d-09, 3.3914825325012d-14/
-      data (pmn(lat, 0,11), lat = 1,36)/
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-      data (pmn(lat, 1,11), lat = 1,36)/
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-     |   4.5642884391476d-01,-8.0453579253107d-01,-1.1776660649025d+00,
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-      data (pmn(lat, 2,11), lat = 1,36)/
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-     |   1.5693429646878d+00, 7.5475524909693d-01,-3.9835820764367d-01,
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-     |  -1.5172452239071d+00,-7.8664602736683d-01,-1.0355507314347d-01/
-      data (pmn(lat, 3,11), lat = 1,36)/
-     |   8.4992136996255d-03, 2.0275790614451d-01, 7.2530412123584d-01,
-     |   1.3100424872603d+00, 1.4665230872753d+00, 9.2352149525425d-01,
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-     |  -3.0431703865933d-01, 5.3735378440600d-01, 8.9005240983510d-01,
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-     |  -6.1907278878733d-01, 9.4518934382429d-02, 7.1838388705384d-01,
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-     |  -8.0675414088792d-01,-2.9518558917809d-01, 4.9354032362559d-01,
-     |   8.9005240983510d-01, 5.3735378440600d-01,-3.0431703865933d-01,
-     |  -9.5988688166801d-01,-8.7947567017208d-01,-7.0738270071354d-02,
-     |   9.2352149525425d-01, 1.4665230872753d+00, 1.3100424872603d+00,
-     |   7.2530412123584d-01, 2.0275790614451d-01, 8.4992136996255d-03/
-      data (pmn(lat, 4,11), lat = 1,36)/
-     |   5.0948918950789d-04, 3.7474761086878d-02, 2.3723483450241d-01,
-     |   6.6764755915069d-01, 1.1658176869874d+00, 1.3798929130316d+00,
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-     |  -9.8685152735888d-01,-6.0909017588182d-01, 1.8879472401415d-01,
-     |   7.9812684435713d-01, 7.6106645220039d-01, 1.2556145367560d-01,
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-     |   3.7392360063278d-01, 8.1717138183267d-01, 5.9219643776071d-01,
-     |  -1.2556145367560d-01,-7.6106645220039d-01,-7.9812684435713d-01,
-     |  -1.8879472401416d-01, 6.0909017588182d-01, 9.8685152735888d-01,
-     |   6.4353190717011d-01,-2.0916230210534d-01,-1.0351104579577d+00,
-     |  -1.3798929130316d+00,-1.1658176869874d+00,-6.6764755915069d-01,
-     |  -2.3723483450241d-01,-3.7474761086878d-02,-5.0948918950789d-04/
-      data (pmn(lat, 5,11), lat = 1,36)/
-     |   2.3579907124501d-05, 5.3001000888196d-03, 5.8156346291750d-02,
-     |   2.4466243153890d-01, 6.0959125508126d-01, 1.0478428029436d+00,
-     |   1.3014528726657d+00, 1.1163991651784d+00, 4.6269458568788d-01,
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-     |  -1.9679051640150d-01, 5.4384821276896d-01, 8.6499662519370d-01,
-     |   5.4155773099865d-01,-1.7916123376038d-01,-7.5593915612278d-01,
-     |  -7.5593915612278d-01,-1.7916123376038d-01, 5.4155773099865d-01,
-     |   8.6499662519370d-01, 5.4384821276896d-01,-1.9679051640150d-01,
-     |  -8.3037203603426d-01,-9.0951352663805d-01,-3.6857549675161d-01,
-     |   4.6269458568788d-01, 1.1163991651784d+00, 1.3014528726657d+00,
-     |   1.0478428029436d+00, 6.0959125508126d-01, 2.4466243153890d-01,
-     |   5.8156346291751d-02, 5.3001000888196d-03, 2.3579907124501d-05/
-      data (pmn(lat, 6,11), lat = 1,36)/
-     |   8.6735735386305d-07, 5.9279909281060d-04, 1.1149631653094d-02,
-     |   6.8714590116113d-02, 2.3555412611754d-01, 5.4710196805618d-01,
-     |   9.3807950865748d-01, 1.2214095164066d+00, 1.1743077475985d+00,
-     |   6.9968604955847d-01,-5.2768747268501d-02,-7.2162634648387d-01,
-     |  -9.3776944753370d-01,-5.7445164235882d-01, 1.3847276365420d-01,
-     |   7.3942461900692d-01, 8.3293773623357d-01, 3.5914485761508d-01,
-     |  -3.5914485761508d-01,-8.3293773623357d-01,-7.3942461900693d-01,
-     |  -1.3847276365420d-01, 5.7445164235881d-01, 9.3776944753370d-01,
-     |   7.2162634648388d-01, 5.2768747268501d-02,-6.9968604955847d-01,
-     |  -1.1743077475985d+00,-1.2214095164066d+00,-9.3807950865748d-01,
-     |  -5.4710196805618d-01,-2.3555412611754d-01,-6.8714590116113d-02,
-     |  -1.1149631653094d-02,-5.9279909281060d-04,-8.6735735386305d-07/
-      data (pmn(lat, 7,11), lat = 1,36)/
-     |   2.5678253800732d-08, 5.3198654073607d-05, 1.7036826922442d-03,
-     |   1.5205138220836d-02, 7.0367603355846d-02, 2.1387365714289d-01,
-     |   4.7706635016307d-01, 8.2495218405432d-01, 1.1284480398042d+00,
-     |   1.2033688949608d+00, 9.1703372082696d-01, 3.0248516732425d-01,
-     |  -4.0799450359630d-01,-8.7995073403783d-01,-8.6563283749286d-01,
-     |  -3.6917979775745d-01, 3.2943973729353d-01, 8.2459325403211d-01,
-     |   8.2459325403211d-01, 3.2943973729353d-01,-3.6917979775744d-01,
-     |  -8.6563283749286d-01,-8.7995073403783d-01,-4.0799450359629d-01,
-     |   3.0248516732425d-01, 9.1703372082696d-01, 1.2033688949608d+00,
-     |   1.1284480398042d+00, 8.2495218405432d-01, 4.7706635016307d-01,
-     |   2.1387365714289d-01, 7.0367603355846d-02, 1.5205138220837d-02,
-     |   1.7036826922443d-03, 5.3198654073607d-05, 2.5678253800732d-08/
-      data (pmn(lat, 8,11), lat = 1,36)/
-     |   6.1110798719883d-10, 3.8299295920752d-06, 2.0793448537069d-04,
-     |   2.6680686397770d-03, 1.6482518032935d-02, 6.4419895051471d-02,
-     |   1.8174483601953d-01, 3.9735637472733d-01, 6.9975557517865d-01,
-     |   1.0094036906071d+00, 1.1874460209211d+00, 1.0947499596996d+00,
-     |   6.7941735566635d-01, 3.9792318577172d-02,-5.8899389977837d-01,
-     |  -9.3608852120136d-01,-8.3676398354549d-01,-3.3300978662112d-01,
-     |   3.3300978662112d-01, 8.3676398354549d-01, 9.3608852120136d-01,
-     |   5.8899389977837d-01,-3.9792318577172d-02,-6.7941735566636d-01,
-     |  -1.0947499596996d+00,-1.1874460209211d+00,-1.0094036906071d+00,
-     |  -6.9975557517865d-01,-3.9735637472733d-01,-1.8174483601953d-01,
-     |  -6.4419895051471d-02,-1.6482518032935d-02,-2.6680686397771d-03,
-     |  -2.0793448537069d-04,-3.8299295920752d-06,-6.1110798719883d-10/
-      data (pmn(lat, 9,11), lat = 1,36)/
-     |   1.1484465760641d-11, 2.1742168481378d-07, 1.9952092913852d-05,
-     |   3.6628097466946d-04, 2.9985351477074d-03, 1.4908940418523d-02,
-     |   5.2356014646280d-02, 1.4120279495353d-01, 3.0736065403618d-01,
-     |   5.5621750817675d-01, 8.4999531828289d-01, 1.1001748475487d+00,
-     |   1.1897456586462d+00, 1.0243980194529d+00, 5.9063862410459d-01,
-     |  -1.3165355054197d-02,-5.9832198135265d-01,-9.5808179442291d-01,
-     |  -9.5808179442291d-01,-5.9832198135265d-01,-1.3165355054200d-02,
-     |   5.9063862410459d-01, 1.0243980194529d+00, 1.1897456586463d+00,
-     |   1.1001748475487d+00, 8.4999531828289d-01, 5.5621750817675d-01,
-     |   3.0736065403618d-01, 1.4120279495353d-01, 5.2356014646281d-02,
-     |   1.4908940418523d-02, 2.9985351477074d-03, 3.6628097466946d-04,
-     |   1.9952092913852d-05, 2.1742168481378d-07, 1.1484465760641d-11/
-      data (pmn(lat,10,11), lat = 1,36)/
-     |   1.6249498184302d-13, 9.2833161284185d-09, 1.4368350239868d-06,
-     |   3.7609315500250d-05, 4.0594746919235d-04, 2.5494283354967d-03,
-     |   1.1031950849855d-02, 3.6173940455983d-02, 9.5262556265577d-02,
-     |   2.0914624692045d-01, 3.9225777483513d-01, 6.3821400287941d-01,
-     |   9.0813983437322d-01, 1.1309697948797d+00, 1.2212222443769d+00,
-     |   1.1107332387322d+00, 7.8134208478399d-01, 2.8183956416592d-01,
-     |  -2.8183956416592d-01,-7.8134208478399d-01,-1.1107332387322d+00,
-     |  -1.2212222443769d+00,-1.1309697948797d+00,-9.0813983437321d-01,
-     |  -6.3821400287941d-01,-3.9225777483513d-01,-2.0914624692045d-01,
-     |  -9.5262556265577d-02,-3.6173940455983d-02,-1.1031950849855d-02,
-     |  -2.5494283354967d-03,-4.0594746919235d-04,-3.7609315500251d-05,
-     |  -1.4368350239868d-06,-9.2833161284185d-09,-1.6249498184302d-13/
-      data (pmn(lat,11,11), lat = 1,36)/
-     |   1.5125917378025d-15, 2.6056789350496d-10, 6.7912669628310d-08,
-     |   2.5281706857140d-06, 3.5849476029570d-05, 2.8294898728818d-04,
-     |   1.4984018826930d-03, 5.9178636169482d-03, 1.8610727596997d-02,
-     |   4.8661587568862d-02, 1.0898826693321d-01, 2.1358347889227d-01,
-     |   3.7193299697747d-01, 5.8212379397590d-01, 8.2577373118456d-01,
-     |   1.0681769211516d+00, 1.2653211693470d+00, 1.3762505565544d+00,
-     |   1.3762505565544d+00, 1.2653211693470d+00, 1.0681769211516d+00,
-     |   8.2577373118456d-01, 5.8212379397590d-01, 3.7193299697747d-01,
-     |   2.1358347889227d-01, 1.0898826693321d-01, 4.8661587568863d-02,
-     |   1.8610727596997d-02, 5.9178636169482d-03, 1.4984018826930d-03,
-     |   2.8294898728818d-04, 3.5849476029570d-05, 2.5281706857140d-06,
-     |   6.7912669628312d-08, 2.6056789350496d-10, 1.5125917378025d-15/
-      data (pmn(lat, 0,12), lat = 1,36)/
-     |   3.2778313966561d+00, 1.5381500234437d+00,-5.4880145577473d-01,
-     |  -1.4349979645414d+00,-7.3981161307230d-01, 5.4420273763147d-01,
-     |   1.0870204775794d+00, 4.6361378653962d-01,-5.6499994916929d-01,
-     |  -9.1899901408518d-01,-2.9422247193351d-01, 5.9647063004334d-01,
-     |   8.1414130111229d-01, 1.6522531319723d-01,-6.3529037422454d-01,
-     |  -7.3953303338013d-01,-5.3436006147602d-02, 6.8199331220689d-01,
-     |   6.8199331220689d-01,-5.3436006147601d-02,-7.3953303338013d-01,
-     |  -6.3529037422454d-01, 1.6522531319723d-01, 8.1414130111229d-01,
-     |   5.9647063004335d-01,-2.9422247193351d-01,-9.1899901408518d-01,
-     |  -5.6499994916929d-01, 4.6361378653961d-01, 1.0870204775794d+00,
-     |   5.4420273763147d-01,-7.3981161307230d-01,-1.4349979645414d+00,
-     |  -5.4880145577474d-01, 1.5381500234437d+00, 3.2778313966561d+00/
-      data (pmn(lat, 1,12), lat = 1,36)/
-     |   9.2821651205645d-01, 2.0291559409280d+00, 1.5401909708776d+00,
-     |   2.4267138504691d-02,-1.1295609005351d+00,-1.0011001267598d+00,
-     |   7.4815695967059d-02, 9.3702831058979d-01, 7.6572580750727d-01,
-     |  -1.6680718763633d-01,-8.5625549450587d-01,-6.1707414074851d-01,
-     |   2.5008365359980d-01, 8.1724429684019d-01, 5.0601920346114d-01,
-     |  -3.3053664572612d-01,-8.0078041000858d-01,-4.1372254757215d-01,
-     |   4.1372254757215d-01, 8.0078041000858d-01, 3.3053664572612d-01,
-     |  -5.0601920346114d-01,-8.1724429684019d-01,-2.5008365359980d-01,
-     |   6.1707414074850d-01, 8.5625549450587d-01, 1.6680718763633d-01,
-     |  -7.6572580750727d-01,-9.3702831058979d-01,-7.4815695967064d-02,
-     |   1.0011001267598d+00, 1.1295609005351d+00,-2.4267138504684d-02,
-     |  -1.5401909708776d+00,-2.0291559409280d+00,-9.2821651205645d-01/
-      data (pmn(lat, 2,12), lat = 1,36)/
-     |   1.2725602326766d-01, 9.3591917590815d-01, 1.6720208441234d+00,
-     |   1.4566901925800d+00, 3.0510404241642d-01,-8.5766001747594d-01,
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-     |  -7.9842961664259d-01,-1.1173832583456d-01, 6.6511569524926d-01,
-     |   7.3250985202361d-01, 3.6791138421476d-02,-6.8931875377148d-01,
-     |  -6.8931875377149d-01, 3.6791138421474d-02, 7.3250985202361d-01,
-     |   6.6511569524926d-01,-1.1173832583456d-01,-7.9842961664259d-01,
-     |  -6.6368827931889d-01, 1.9023720243446d-01, 9.0031318095387d-01,
-     |   7.0333302218437d-01,-2.6980695017383d-01,-1.0751295768289d+00,
-     |  -8.5766001747594d-01, 3.0510404241642d-01, 1.4566901925799d+00,
-     |   1.6720208441234d+00, 9.3591917590815d-01, 1.2725602326766d-01/
-      data (pmn(lat, 3,12), lat = 1,36)/
-     |   1.1406824557200d-02, 2.6576022407770d-01, 9.0261470096185d-01,
-     |   1.4843072487366d+00, 1.3850907077638d+00, 4.7627287428974d-01,
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-     |   3.8795230832124d-01, 8.1296916312416d-01, 4.0937314255865d-01,
-     |  -4.0937314255864d-01,-8.1296916312416d-01,-3.8795230832124d-01,
-     |   4.4423068084940d-01, 8.4318533386391d-01, 3.8914236255510d-01,
-     |  -4.8715651566580d-01,-9.1527207538741d-01,-4.3845563448804d-01,
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-     |  -4.7627287428974d-01,-1.3850907077638d+00,-1.4843072487366d+00,
-     |  -9.0261470096185d-01,-2.6576022407770d-01,-1.1406824557200d-02/
-      data (pmn(lat, 4,12), lat = 1,36)/
-     |   7.4948277946502d-04, 5.4106148576341d-02, 3.2921677549623d-01,
-     |   8.6708237546089d-01, 1.3605568765749d+00, 1.3328014293703d+00,
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-     |  -7.0461125903402d-01, 1.5964911981448d-02, 7.1246981573249d-01,
-     |   7.1246981573249d-01, 1.5964911981449d-02,-7.0461125903402d-01,
-     |  -7.4886356169284d-01,-6.0586949187122d-02, 7.1360646916512d-01,
-     |   8.3255047782674d-01, 1.5699645070289d-01,-7.1799300936376d-01,
-     |  -1.0044064802520d+00,-4.1812660694027d-01, 6.0521914792771d-01,
-     |   1.3328014293703d+00, 1.3605568765749d+00, 8.6708237546089d-01,
-     |   3.2921677549624d-01, 5.4106148576341d-02, 7.4948277946502d-04/
-      data (pmn(lat, 5,12), lat = 1,36)/
-     |   3.8238029508593d-05, 8.4628819982664d-03, 8.9919354301084d-02,
-     |   3.5916817121437d-01, 8.2802178713110d-01, 1.2662621448269d+00,
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-     |   3.9990219120454d-01, 8.3509653044902d-01, 5.0635781680885d-01,
-     |  -2.9513551474646d-01,-8.5041488051764d-01,-6.5525737544499d-01,
-     |   1.3743321987021d-01, 8.5916709451647d-01, 9.0249609508985d-01,
-     |   2.1151788349216d-01,-7.2132585212911d-01,-1.2968538465173d+00,
-     |  -1.2662621448269d+00,-8.2802178713110d-01,-3.5916817121437d-01,
-     |  -8.9919354301085d-02,-8.4628819982664d-03,-3.8238029508593d-05/
-      data (pmn(lat, 6,12), lat = 1,36)/
-     |   1.5637065808778d-06, 1.0547026880168d-03, 1.9305669182306d-02,
-     |   1.1398939715322d-01, 3.6735332884663d-01, 7.8233311559469d-01,
-     |   1.1847263512396d+00, 1.2718654072321d+00, 8.3786213099518d-01,
-     |   9.2037941650838d-03,-7.5042488936009d-01,-9.4295732707067d-01,
-     |  -4.3750273266484d-01, 3.7675754411429d-01, 8.6091380660825d-01,
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-     |  -7.5575737653138d-01,-1.1453094838709d-01, 6.3203189788968d-01,
-     |   8.6091380660825d-01, 3.7675754411429d-01,-4.3750273266485d-01,
-     |  -9.4295732707067d-01,-7.5042488936009d-01, 9.2037941650826d-03,
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-     |   7.8233311559469d-01, 3.6735332884663d-01, 1.1398939715322d-01,
-     |   1.9305669182306d-02, 1.0547026880168d-03, 1.5637065808778d-06/
-      data (pmn(lat, 7,12), lat = 1,36)/
-     |   5.2112597373629d-08, 1.0672700049049d-04, 3.3384325045667d-03,
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-     |  -3.3384325045668d-03,-1.0672700049049d-04,-5.2112597373629d-08/
-      data (pmn(lat, 8,12), lat = 1,36)/
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-     |   5.8326407710964d-03, 3.4464072663691d-02, 1.2699529421604d-01,
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-     |   1.0152447628721d+00, 6.5730469138314d-01, 3.3194141092875d-01,
-     |   1.2699529421604d-01, 3.4464072663691d-02, 5.8326407710965d-03,
-     |   4.6936018542039d-04, 8.8265608218851d-06, 1.4228445867055d-09/
-      data (pmn(lat, 9,12), lat = 1,36)/
-     |   3.1642409765692d-11, 5.9357074297309d-07, 5.3466288551421d-05,
-     |   9.5395549544706d-04, 7.5092750530432d-03, 3.5475887468308d-02,
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-     |  -5.3466288551422d-05,-5.9357074297309d-07,-3.1642409765692d-11/
-      data (pmn(lat,10,12), lat = 1,36)/
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-     |   1.2346686694400d-04, 1.2867298483019d-03, 7.7230957498796d-03,
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-     |   4.6213124764672d-01, 7.6195404784299d-01, 1.0529316628986d+00,
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-     |   1.0529316628986d+00, 7.6195404784299d-01, 4.6213124764672d-01,
-     |   2.3359064573723d-01, 9.6579158884758d-02, 3.1578914739051d-02,
-     |   7.7230957498796d-03, 1.2867298483019d-03, 1.2346686694400d-04,
-     |   4.8397122186584d-06, 3.1800346164513d-08, 5.6129503523889d-13/
-      data (pmn(lat,11,12), lat = 1,36)/
-     |   7.5557604281550d-15, 1.2916934952724d-09, 3.3151434095487d-07,
-     |   1.2055796186751d-05, 1.6560298577487d-04, 1.2548940848071d-03,
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-     |  -6.8606338394064d-02,-2.3474784339469d-02,-6.3186966512661d-03,
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-     |  -3.3151434095488d-07,-1.2916934952724d-09,-7.5557604281550d-15/
-      data (pmn(lat,12,12), lat = 1,36)/
-     |   6.7338845907807d-17, 3.4712265130123d-11, 1.5002095884627d-08,
-     |   7.7591219719407d-07, 1.4001896288712d-05, 1.3334542722776d-04,
-     |   8.2169230049758d-04, 3.6768546620231d-03, 1.2832494357425d-02,
-     |   3.6616897247097d-02, 8.8249201572254d-02, 1.8384898282941d-01,
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-     |   1.0643613288140d+00, 1.2803647933540d+00, 1.4032929460387d+00,
-     |   1.4032929460387d+00, 1.2803647933540d+00, 1.0643613288140d+00,
-     |   8.0379434863287d-01, 5.4890233795292d-01, 3.3671155238296d-01,
-     |   1.8384898282941d-01, 8.8249201572254d-02, 3.6616897247097d-02,
-     |   1.2832494357425d-02, 3.6768546620232d-03, 8.2169230049759d-04,
-     |   1.3334542722776d-04, 1.4001896288712d-05, 7.7591219719408d-07,
-     |   1.5002095884627d-08, 3.4712265130123d-11, 6.7338845907807d-17/
-      data (pmn(lat, 0,13), lat = 1,36)/
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-     |  -1.4295580475482d+00,-2.7871200993498d-01, 9.6319570035643d-01,
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-     |  -8.5268992197142d-01,-4.9212933913393d-01, 5.2242982912856d-01,
-     |   9.4942394552849d-01, 1.8730954487536d-01,-9.1261309108181d-01,
-     |  -9.6319570035643d-01, 2.7871200993498d-01, 1.4295580475482d+00,
-     |   8.8965716106069d-01,-1.3203668595139d+00,-3.3627542533373d+00/
-      data (pmn(lat, 1,13), lat = 1,36)/
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-     |   1.3278016481493d+00, 2.1366860463088d+00, 1.0354057673700d+00/
-      data (pmn(lat, 2,13), lat = 1,36)/
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-     |   1.2436987633704d+00,-1.8313304325518d-01,-1.1411300147148d+00,
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-     |  -1.7874220799927d+00,-1.0917050976831d+00,-1.5379278760893d-01/
-      data (pmn(lat, 3,13), lat = 1,36)/
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-     |   1.0881417359914d+00, 3.3939944599698d-01, 1.4948157650211d-02/
-      data (pmn(lat, 4,13), lat = 1,36)/
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-     |   1.0753006743041d+00, 1.4848736129598d+00, 1.1156510740540d+00,
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-      data (pmn(lat, 5,13), lat = 1,36)/
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-     |   1.3278582550487d-01, 1.2945638285411d-02, 5.9484150385762d-05/
-      data (pmn(lat, 6,13), lat = 1,36)/
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-     |   1.7782272024748d-01, 5.3460185556664d-01, 1.0291546019211d+00,
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-      data (pmn(lat, 7,13), lat = 1,36)/
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-     |   5.0313127430344d-02, 2.0878493266292d-01, 5.4656634460955d-01,
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-     |   1.0979577879823d+00, 1.2830653785814d+00, 9.9362137027597d-01,
-     |   5.4656634460955d-01, 2.0878493266292d-01, 5.0313127430344d-02,
-     |   6.0877087979908d-03, 1.9967485242259d-04, 9.8723714072794d-08/
-      data (pmn(lat, 8,13), lat = 1,36)/
-     |   3.0261911851957d-09, 1.8565868450879d-05, 9.6518605035957d-04,
-     |   1.1580710042007d-02, 6.5142733083098d-02, 2.2468626242847d-01,
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-     |  -9.6518605035958d-04,-1.8565868450879d-05,-3.0261911851957d-09/
-      data (pmn(lat, 9,13), lat = 1,36)/
-     |   7.7023810200873d-11, 1.4305453981884d-06, 1.2627706414615d-04,
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-      data (pmn(lat,10,13), lat = 1,36)/
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-      data (pmn(lat,11,13), lat = 1,36)/
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-      data (pmn(lat,12,13), lat = 1,36)/
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-      data (pmn(lat,13,13), lat = 1,36)/
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-      data (pmn(lat, 0,14), lat = 1,36)/
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-      data (pmn(lat, 1,14), lat = 1,36)/
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-      data (pmn(lat, 2,14), lat = 1,36)/
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-      data (pmn(lat, 3,14), lat = 1,36)/
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-      data (pmn(lat, 4,14), lat = 1,36)/
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-      data (pmn(lat, 5,14), lat = 1,36)/
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-      data (pmn(lat, 6,14), lat = 1,36)/
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-      data (pmn(lat, 7,14), lat = 1,36)/
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-      data (pmn(lat, 8,14), lat = 1,36)/
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-      data (pmn(lat, 9,14), lat = 1,36)/
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-      data (pmn(lat,10,14), lat = 1,36)/
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-     |   3.3320162713667d-05, 2.2743753493170d-07, 4.0905698155677d-12/
-      data (pmn(lat,11,14), lat = 1,36)/
-     |   8.1203842062315d-14, 1.3645317934812d-08, 3.3823457110625d-06,
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-      data (pmn(lat,12,14), lat = 1,36)/
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-      data (pmn(lat,13,14), lat = 1,36)/
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-      data (pmn(lat,14,14), lat = 1,36)/
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-      data (pmn(lat, 0,15), lat = 1,36)/
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-      data (pmn(lat, 1,15), lat = 1,36)/
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-     |   7.4166716993176d-01, 2.2661142075101d+00, 1.2562670574075d+00/
-      data (pmn(lat, 2,15), lat = 1,36)/
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-      data (pmn(lat, 3,15), lat = 1,36)/
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-      data (pmn(lat, 4,15), lat = 1,36)/
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-      data (pmn(lat, 5,15), lat = 1,36)/
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-      data (pmn(lat, 6,15), lat = 1,36)/
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-      data (pmn(lat, 7,15), lat = 1,36)/
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-     |   1.7136859851326d-02, 5.9552737334987d-04, 3.0279370993418d-07/
-      data (pmn(lat, 8,15), lat = 1,36)/
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-      data (pmn(lat, 9,15), lat = 1,36)/
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-      data (pmn(lat,10,15), lat = 1,36)/
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-      data (pmn(lat,11,15), lat = 1,36)/
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-     |   8.6506790440006d-06, 3.5583395998147d-08, 2.1379524409007d-13/
-      data (pmn(lat,12,15), lat = 1,36)/
-     |   4.0429955568261d-15, 2.0332604812684d-09, 8.3598862319075d-07,
-     |   4.0071387248952d-05, 6.5181260830129d-04, 5.4292805718943d-03,
-     |   2.8297040323746d-02, 1.0306122303097d-01, 2.7971835575102d-01,
-     |   5.8655109576664d-01, 9.6404840661840d-01, 1.2291843872043d+00,
-     |   1.1463573371247d+00, 6.0671508505647d-01,-2.1146549091368d-01,
-     |  -8.7590567874824d-01,-9.7006268960496d-01,-4.1752986786204d-01,
-     |   4.1752986786204d-01, 9.7006268960496d-01, 8.7590567874825d-01,
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-     |  -5.4292805718943d-03,-6.5181260830129d-04,-4.0071387248953d-05,
-     |  -8.3598862319078d-07,-2.0332604812684d-09,-4.0429955568261d-15/
-      data (pmn(lat,13,15), lat = 1,36)/
-     |   6.2234132064538d-17, 9.4490666156186d-11, 6.5588665973603d-08,
-     |   4.4894047644054d-06, 9.6500132792959d-05, 1.0184928391975d-03,
-     |   6.5702675261305d-03, 2.9279734724618d-02, 9.7045051602651d-02,
-     |   2.5046238695011d-01, 5.1741136659467d-01, 8.6668217640074d-01,
-     |   1.1737133984113d+00, 1.2484417756716d+00, 9.4292340743381d-01,
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-     |  -1.0043089842319d+00,-4.8693391737649d-01, 2.8247936514888d-01,
-     |   9.4292340743380d-01, 1.2484417756716d+00, 1.1737133984113d+00,
-     |   8.6668217640075d-01, 5.1741136659467d-01, 2.5046238695011d-01,
-     |   9.7045051602651d-02, 2.9279734724618d-02, 6.5702675261306d-03,
-     |   1.0184928391975d-03, 9.6500132792959d-05, 4.4894047644054d-06,
-     |   6.5588665973605d-08, 9.4490666156186d-11, 6.2234132064538d-17/
-      data (pmn(lat,14,15), lat = 1,36)/
-     |   7.3910694221188d-19, 3.3856565199740d-12, 3.9618952559322d-09,
-     |   3.8637741007837d-07, 1.0938998478045d-05, 1.4561774084888d-04,
-     |   1.1552274387601d-03, 6.2421386658494d-03, 2.4934731534501d-02,
-     |   7.7646644834524d-02, 1.9524829952570d-01, 4.0572538155775d-01,
-     |   7.0634602103360d-01, 1.0352886940747d+00, 1.2694681053627d+00,
-     |   1.2678997091107d+00, 9.4855946751141d-01, 3.5277422313138d-01,
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-     |  -4.0572538155775d-01,-1.9524829952570d-01,-7.7646644834524d-02,
-     |  -2.4934731534501d-02,-6.2421386658495d-03,-1.1552274387601d-03,
-     |  -1.4561774084888d-04,-1.0938998478045d-05,-3.8637741007838d-07,
-     |  -3.9618952559323d-09,-3.3856565199740d-12,-7.3910694221188d-19/
-      data (pmn(lat,15,15), lat = 1,36)/
-     |   5.8916883310749d-21, 8.1378816833451d-14, 1.6036057309585d-10,
-     |   2.2241977763854d-08, 8.2725852099713d-07, 1.3839816677807d-05,
-     |   1.3436748872552d-04, 8.7448679908862d-04, 4.1715411402611d-03,
-     |   1.5470687198532d-02, 4.6456464949153d-02, 1.1627442963141d-01,
-     |   2.4773091107352d-01, 4.5632738180281d-01, 7.3508720602516d-01,
-     |   1.0441647730790d+00, 1.3154514777212d+00, 1.4751735139291d+00,
-     |   1.4751735139291d+00, 1.3154514777212d+00, 1.0441647730790d+00,
-     |   7.3508720602516d-01, 4.5632738180281d-01, 2.4773091107352d-01,
-     |   1.1627442963141d-01, 4.6456464949153d-02, 1.5470687198532d-02,
-     |   4.1715411402611d-03, 8.7448679908862d-04, 1.3436748872552d-04,
-     |   1.3839816677807d-05, 8.2725852099713d-07, 2.2241977763854d-08,
-     |   1.6036057309586d-10, 8.1378816833451d-14, 5.8916883310749d-21/
-      data (pmn(lat, 0,16), lat = 1,36)/
-     |   3.5528780032208d+00, 5.3944260128967d-01,-1.5978213192888d+00,
-     |  -6.7249203416978d-01, 1.0577020703318d+00, 7.8602205076812d-01,
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-     |   8.8159390554846d-01,-1.6960456768584d-01,-8.6693600747253d-01,
-     |  -5.8716041581084d-02, 8.1342451126490d-01, 2.6439758210885d-01,
-     |  -7.2346264118495d-01,-4.4574837662795d-01, 5.9985561802033d-01,
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-     |   2.6439758210885d-01, 8.1342451126490d-01,-5.8716041581089d-02,
-     |  -8.6693600747253d-01,-1.6960456768584d-01, 8.8159390554846d-01,
-     |   4.2195079452984d-01,-8.5529718162560d-01,-7.0743179660524d-01,
-     |   7.8602205076812d-01, 1.0577020703318d+00,-6.7249203416978d-01,
-     |  -1.5978213192888d+00, 5.3944260128967d-01, 3.5528780032208d+00/
-      data (pmn(lat, 1,16), lat = 1,36)/
-     |   1.3691792274292d+00, 2.2840861559039d+00, 3.9259711463053d-01,
-     |  -1.3572117972755d+00,-6.6031752852877d-01, 9.1844761736903d-01,
-     |   7.9427074500842d-01,-5.9407277420623d-01,-8.6103086401509d-01,
-     |   3.1730637088492d-01, 8.7636012287672d-01,-6.9413729255253d-02,
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-     |   3.5375990668270d-01,-6.6806810231376d-01,-5.2609998832088d-01,
-     |   5.2609998832088d-01, 6.6806810231376d-01,-3.5375990668270d-01,
-     |  -7.7610317569558d-01, 1.5440899762570d-01, 8.4670112662587d-01,
-     |   6.9413729255260d-02,-8.7636012287672d-01,-3.1730637088492d-01,
-     |   8.6103086401509d-01, 5.9407277420624d-01,-7.9427074500842d-01,
-     |  -9.1844761736903d-01, 6.6031752852877d-01, 1.3572117972755d+00,
-     |  -3.9259711463051d-01,-2.2840861559039d+00,-1.3691792274292d+00/
-      data (pmn(lat, 2,16), lat = 1,36)/
-     |   2.5092721684812d-01, 1.5702596125963d+00, 1.8192742632501d+00,
-     |   1.5104794444893d-01,-1.2556457162864d+00,-5.7418150322008d-01,
-     |   8.6179730673189d-01, 7.6422517733679d-01,-5.3788128440199d-01,
-     |  -8.4946314126469d-01, 2.5208016228961d-01, 8.6475849728034d-01,
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-     |   7.3568298060579d-01, 4.3669097248594d-01,-6.0486902841540d-01,
-     |  -6.0486902841540d-01, 4.3669097248593d-01, 7.3568298060579d-01,
-     |  -2.3559055565892d-01,-8.2421639264917d-01, 5.2849353421172d-03,
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-     |  -5.3788128440200d-01, 7.6422517733679d-01, 8.6179730673189d-01,
-     |  -5.7418150322008d-01,-1.2556457162864d+00, 1.5104794444892d-01,
-     |   1.8192742632500d+00, 1.5702596125963d+00, 2.5092721684812d-01/
-      data (pmn(lat, 3,16), lat = 1,36)/
-     |   3.0093009609014d-02, 6.2404453249276d-01, 1.6170835580350d+00,
-     |   1.4848712378870d+00,-7.8203685187539d-02,-1.1958426848930d+00,
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-     |  -5.1058773451419d-01,-8.3548540512399d-01, 2.0504799819008d-01,
-     |   8.5371828435511d-01, 7.1834932883202d-02,-8.0013470742647d-01,
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-     |   8.0013470742647d-01,-7.1834932883201d-02,-8.5371828435511d-01,
-     |  -2.0504799819009d-01, 8.3548540512399d-01, 5.1058773451419d-01,
-     |  -7.2351687559462d-01,-8.4278714395145d-01, 4.6845052827161d-01,
-     |   1.1958426848930d+00, 7.8203685187539d-02,-1.4848712378870d+00,
-     |  -1.6170835580350d+00,-6.2404453249276d-01,-3.0093009609014d-02/
-      data (pmn(lat, 4,16), lat = 1,36)/
-     |   2.6642886526914d-03, 1.7553232510771d-01, 8.7405355194593d-01,
-     |   1.5996103564002d+00, 1.1997978794210d+00,-2.7402607092890d-01,
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-     |   1.6002409308557d-01, 8.4474430127586d-01, 1.4441839556537d-01,
-     |  -7.7022493489330d-01,-4.0803745950190d-01, 6.2031451824331d-01,
-     |   6.2031451824331d-01,-4.0803745950190d-01,-7.7022493489330d-01,
-     |   1.4441839556537d-01, 8.4474430127585d-01, 1.6002409308556d-01,
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-     |   8.3785828923446d-01,-3.6429534306317d-01,-1.1453000833782d+00,
-     |  -2.7402607092890d-01, 1.1997978794210d+00, 1.5996103564002d+00,
-     |   8.7405355194593d-01, 1.7553232510771d-01, 2.6642886526914d-03/
-      data (pmn(lat, 5,16), lat = 1,36)/
-     |   1.8537528732869d-04, 3.8047624100363d-02, 3.4433303196088d-01,
-     |   1.0484544145651d+00, 1.5391685361327d+00, 9.4939575792031d-01,
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-     |  -8.3568348465539d-01,-1.0336905533992d-01, 8.2518259178986d-01,
-     |   4.7349025909265d-01,-6.5779922909355d-01,-8.3500573693888d-01,
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-     |  -3.4433303196088d-01,-3.8047624100363d-02,-1.8537528732869d-04/
-      data (pmn(lat, 6,16), lat = 1,36)/
-     |   1.0519821653567d-05, 6.6541767243378d-03, 1.0649602601150d-01,
-     |   5.0524055725649d-01, 1.1643229690634d+00, 1.4519956817763d+00,
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-     |  -4.3943037807043d-01,-8.3449730099726d-01, 2.2005738327884d-02,
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-     |  -6.4754406146225d-01, 3.5502066337763d-01, 8.1951608660179d-01,
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-     |  -1.0472922769016d+00,-5.4584976257273d-01, 7.3468030208608d-01,
-     |   1.4519956817763d+00, 1.1643229690634d+00, 5.0524055725649d-01,
-     |   1.0649602601150d-01, 6.6541767243378d-03, 1.0519821653567d-05/
-      data (pmn(lat, 7,16), lat = 1,36)/
-     |   4.9846823094084d-07, 9.6531695327252d-04, 2.6896490859671d-02,
-     |   1.9246636364418d-01, 6.4535205032785d-01, 1.2331707971174d+00,
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-     |  -9.7644088066141d-02, 7.8072385150247d-01, 5.0913533737100d-01,
-     |  -5.0913533737100d-01,-7.8072385150247d-01, 9.7644088066136d-02,
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-     |  -2.6896490859672d-02,-9.6531695327252d-04,-4.9846823094084d-07/
-      data (pmn(lat, 8,16), lat = 1,36)/
-     |   2.0017661701382d-08, 1.1817131091885d-04, 5.6759453496988d-03,
-     |   6.0121503031124d-02, 2.8267215813847d-01, 7.5825193683194d-01,
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-     |   6.8937503954479d-01,-2.6843519300763d-01,-8.6627818984118d-01,
-     |  -2.7851834809467d-01, 7.1136216251799d-01, 7.8342352897372d-01,
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-     |   4.3288261490675d-01, 1.2592717982527d+00, 1.2660457755158d+00,
-     |   7.5825193683194d-01, 2.8267215813847d-01, 6.0121503031124d-02,
-     |   5.6759453496989d-03, 1.1817131091885d-04, 2.0017661701382d-08/
-      data (pmn(lat, 9,16), lat = 1,36)/
-     |   6.8733425289681d-10, 1.2331919723665d-05, 1.0143085032713d-03,
-     |   1.5714065317284d-02, 1.0141296885535d-01, 3.6639299186183d-01,
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-     |   4.9505609886941d-01, 8.5133485741735d-01, 1.1580421143125d-01,
-     |  -7.8577694710403d-01,-7.2779165264851d-01, 2.3013765303642d-01,
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-     |  -3.6639299186183d-01,-1.0141296885535d-01,-1.5714065317284d-02,
-     |  -1.0143085032713d-03,-1.2331919723665d-05,-6.8733425289681d-10/
-      data (pmn(lat,10,16), lat = 1,36)/
-     |   2.0256848033840d-11, 1.1021957354583d-06, 1.5451422879352d-04,
-     |   3.4726946491258d-03, 3.0346611312707d-02, 1.4422615975588d-01,
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-     |  -7.5150067567358d-01, 1.3185345965254d-01, 8.7385188784622d-01,
-     |   6.2253272429361d-01,-3.4348596896498d-01,-9.8109678305198d-01,
-     |  -6.4117722994988d-01, 3.3929871081671d-01, 1.1334528876935d+00,
-     |   1.2674181479897d+00, 8.9529583189925d-01, 4.3528516602234d-01,
-     |   1.4422615975588d-01, 3.0346611312707d-02, 3.4726946491258d-03,
-     |   1.5451422879352d-04, 1.1021957354583d-06, 2.0256848033840d-11/
-      data (pmn(lat,11,16), lat = 1,36)/
-     |   5.1194046155133d-13, 8.4339231866008d-08, 2.0082075306136d-05,
-     |   6.5095266142640d-04, 7.6311171030115d-03, 4.6999486762674d-02,
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-     |  -4.7316815093353d-01,-9.2963421903313d-01,-4.2715929500870d-01,
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-     |  -2.0082075306136d-05,-8.4339231866008d-08,-5.1194046155133d-13/
-      data (pmn(lat,12,16), lat = 1,36)/
-     |   1.1023494958238d-14, 5.4918177183732d-09, 2.2152736530573d-06,
-     |   1.0311649894721d-04, 1.6108570218441d-03, 1.2725868648910d-02,
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-     |   2.2152736530574d-06, 5.4918177183732d-09, 1.1023494958238d-14/
-      data (pmn(lat,13,16), lat = 1,36)/
-     |   1.9942079351500d-16, 3.0014674411866d-10, 2.0468913683702d-07,
-     |   1.3636935506510d-05, 2.8246801519483d-04, 2.8413765951739d-03,
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-     |  -2.0468913683702d-07,-3.0014674411866d-10,-1.9942079351500d-16/
-      data (pmn(lat,14,16), lat = 1,36)/
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-     |   1.4676126148259d-06, 4.0153532562544d-05, 5.1147470095937d-04,
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-     |   1.5431003650549d-08, 1.3405475722780d-11, 2.9504474780822d-18/
-      data (pmn(lat,15,16), lat = 1,36)/
-     |   3.3812959606791d-20, 4.6348630633411d-13, 8.9936520774837d-10,
-     |   1.2185682932766d-07, 4.3904957902197d-06, 7.0520637786732d-05,
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-     |  -8.9936520774840d-10,-4.6348630633411d-13,-3.3812959606791d-20/
-      data (pmn(lat,16,16), lat = 1,36)/
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-     |   6.7919923351555d-09, 3.2148661104609d-07, 6.4895998370404d-06,
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-     |   1.4966199774351d+00, 1.3244189318012d+00, 1.0352197079401d+00,
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-     |   3.5246527050343d-11, 1.0786760120595d-14, 2.6097644270972d-22/
-      data (pmn(lat, 0,17), lat = 1,36)/
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-     |  -2.5275898967813d-01, 1.2588327908676d+00, 2.9431311872774d-01,
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-     |   1.6914201687850d+00,-2.5292886922303d-01,-3.5958053283433d+00/
-      data (pmn(lat, 1,17), lat = 1,36)/
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-     |  -1.4591974583132d+00,-1.8723151171573d-01, 1.1542638571779d+00,
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-     |   2.6036944077440d-02, 2.2692509399373d+00, 1.4832560322403d+00/
-      data (pmn(lat, 2,17), lat = 1,36)/
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-     |  -1.7104468026714d+00,-1.7234223883778d+00,-2.8925843477840d-01/
-      data (pmn(lat, 3,17), lat = 1,36)/
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-     |   1.7555684848551d+00, 7.3883679526750d-01, 3.6891347630286d-02/
-      data (pmn(lat, 4,17), lat = 1,36)/
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-      data (pmn(lat, 5,17), lat = 1,36)/
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-     |   4.4604044724506d-01, 5.1744588876423d-02, 2.5779500937925d-04/
-      data (pmn(lat, 6,17), lat = 1,36)/
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-     |   6.6073683597337d-01, 1.3593897889734d+00, 1.3588312341577d+00,
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-     |  -1.4911530440782d-01,-9.7007112737039d-03,-1.5629555025213d-05/
-      data (pmn(lat, 7,17), lat = 1,36)/
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-     |   4.0694515502284d-02, 1.5118673708857d-03, 7.9367016386314d-07/
-      data (pmn(lat, 8,17), lat = 1,36)/
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-     |  -9.2982625906242d-03,-1.9953449149803d-04,-3.4297079293663d-08/
-      data (pmn(lat, 9,17), lat = 1,36)/
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-     |   1.8063111802889d-03, 2.2560996904138d-05, 1.2740401380960d-09/
-      data (pmn(lat,10,17), lat = 1,36)/
-     |   4.0911205368479d-11, 2.1997324910571d-06, 3.0096815456676d-04,
-     |   6.5121488440894d-03, 5.3922443244955d-02, 2.3805950585674d-01,
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-      data (pmn(lat,11,17), lat = 1,36)/
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-     |   1.3520258461745d-03, 1.5105438183318d-02, 8.7223229554193d-02,
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-     |   4.3167716597326d-05, 1.8535423535358d-07, 1.1374014504337d-12/
-      data (pmn(lat,12,17), lat = 1,36)/
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-     |  -5.3233292505047d-06,-1.3468326339247d-08,-2.7306710879062d-14/
-      data (pmn(lat,13,17), lat = 1,36)/
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-     |   3.6287631640374d-05, 7.2231981358355d-04, 6.8976560559078d-03,
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-     |   4.0472847792971d-01, 1.4903717306142d-01, 3.9198522394042d-02,
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-     |   5.6063809898356d-07, 8.3772523662724d-10, 5.6179238923370d-16/
-      data (pmn(lat,14,17), lat = 1,36)/
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-     |   4.6028909370512d-06, 1.2139793515282d-04, 1.4745510361148d-03,
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-     |  -4.9710174110849d-08,-4.3948662646925d-11,-9.7570023917591d-18/
-      data (pmn(lat,15,17), lat = 1,36)/
-     |   1.3914923020682d-19, 1.8919394087879d-12, 3.6114956617495d-09,
-     |   4.7726008105529d-07, 1.6620005138539d-05, 2.5549872746220d-04,
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-     |   5.2252188302962d-02, 1.2785427646055d-02, 2.2330743233595d-03,
-     |   2.5549872746220d-04, 1.6620005138539d-05, 4.7726008105530d-07,
-     |   3.6114956617496d-09, 1.8919394087879d-12, 1.3914923020682d-19/
-      data (pmn(lat,16,17), lat = 1,36)/
-     |   1.5424879511945d-21, 6.3269384450245d-14, 2.0357847949986d-10,
-     |   3.8322224511965d-08, 1.7571638447073d-06, 3.4054998399645d-05,
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-     |  -2.0357847949986d-10,-6.3269384450245d-14,-1.5424879511945d-21/
-      data (pmn(lat,17,17), lat = 1,36)/
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-     |   2.0722089966910d-09, 1.2482371813646d-07, 3.0403114951299d-06,
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-     |   1.0254361130647d+00, 1.3322585311760d+00, 1.5170243534235d+00,
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-     |   6.8889718738320d-01, 4.0131349640491d-01, 2.0082352793137d-01,
-     |   8.5215607789713d-02, 3.0127008725427d-02, 8.6645880278578d-03,
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-     |   7.7401191345761d-12, 1.4285098957951d-15, 1.1549825755501d-23/
-      data (pmn(lat, 0,18), lat = 1,36)/
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-     |   1.9058845538042d-01, 1.2673706118693d+00,-2.6414243130473d-01,
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-     |  -1.7034830585740d+00,-3.8131300663288d-02, 3.6289492556681d+00/
-      data (pmn(lat, 1,18), lat = 1,36)/
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-     |  -1.4295314504758d+00, 3.1386445304156d-01, 1.1317467022234d+00,
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-     |   3.4164334298494d-01,-2.2211307156062d+00,-1.5981408876471d+00/
-      data (pmn(lat, 2,18), lat = 1,36)/
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-     |   1.5413352322932d+00, 1.8681778186971d+00, 3.3059396877948d-01/
-      data (pmn(lat, 3,18), lat = 1,36)/
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-     |   9.6536864766137d-01,-9.4207140711801d-01,-9.2856157649197d-01,
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-     |  -1.8608338413873d+00,-8.6224711247529d-01,-4.4686936985290d-02/
-      data (pmn(lat, 4,18), lat = 1,36)/
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-     |   1.7003639205896d+00, 4.4846735330122d-01,-1.0944135316253d+00,
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-      data (pmn(lat, 5,18), lat = 1,36)/
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-     |   1.4269738699420d+00, 1.4363926572329d+00, 2.7511735910820d-03,
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-      data (pmn(lat, 6,18), lat = 1,36)/
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-     |   2.0301227846242d-01, 1.3790466429694d-02, 2.2670575341291d-05/
-      data (pmn(lat, 7,18), lat = 1,36)/
-     |   1.2275762153069d-06, 2.2978613800572d-03, 5.9609664363797d-02,
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-      data (pmn(lat, 8,18), lat = 1,36)/
-     |   5.6752171975192d-08, 3.2510209060741d-04, 1.4668667133895d-02,
-     |   1.4049318589025d-01, 5.6811061759458d-01, 1.2132270587213d+00,
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-      data (pmn(lat, 9,18), lat = 1,36)/
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-     |  -3.0773736100460d-03,-3.9555707935262d-05,-2.2649857091908d-09/
-      data (pmn(lat,10,18), lat = 1,36)/
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-     |   5.5621499282270d-04, 4.1718021864161d-06, 7.8571659237187d-11/
-      data (pmn(lat,11,18), lat = 1,36)/
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-     |   2.6297552855158d-03, 2.7897217841756d-02, 1.5013707123208d-01,
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-     |  -8.7100965382139d-05,-3.8290764699835d-07,-2.3768946427340d-12/
-      data (pmn(lat,12,18), lat = 1,36)/
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-     |   5.1629884463675d-04, 7.3693229098877d-03, 5.1639755307945d-02,
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-     |   1.1834698051780d-05, 3.0597063189854d-08, 6.2697235992605d-14/
-      data (pmn(lat,13,18), lat = 1,36)/
-     |   1.4365034578505d-15, 2.1210652909767d-09, 1.3913915713073d-06,
-     |   8.7328575359628d-05, 1.6657476882720d-03, 1.5037507892797d-02,
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-     |  -6.6189153307167d-01,-2.7532445668083d-01,-7.9484027361999d-02,
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-     |  -1.3913915713074d-06,-2.1210652909767d-09,-1.4365034578505d-15/
-      data (pmn(lat,14,18), lat = 1,36)/
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-     |   1.2638421772033d-05, 3.2050256020522d-04, 3.6986011865864d-03,
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-     |   3.2072674805669d-01, 1.0592168041750d-01, 2.4511140880010d-02,
-     |   3.6986011865864d-03, 3.2050256020522d-04, 1.2638421772033d-05,
-     |   1.4044024907630d-07, 1.2649453844813d-10, 2.8342091025250d-17/
-      data (pmn(lat,15,18), lat = 1,36)/
-     |   4.7400038295094d-19, 6.3895165907658d-12, 1.1986534043004d-08,
-     |   1.5424905025146d-06, 5.1796699040017d-05, 7.5962341429293d-04,
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-     |  -1.1986534043005d-08,-6.3895165907658d-12,-4.7400038295094d-19/
-      data (pmn(lat,16,18), lat = 1,36)/
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-     |   1.5448624244445d-07, 6.8473384318947d-06, 1.2703569418353d-04,
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-     |   3.8053006037403d-02, 8.3859887666534d-03, 1.2922931476108d-03,
-     |   1.2703569418353d-04, 6.8473384318947d-06, 1.5448624244445d-07,
-     |   8.4134948592513d-10, 2.6578595436823d-13, 6.5324362726635d-21/
-      data (pmn(lat,17,18), lat = 1,36)/
-     |   7.0187980289568d-23, 8.6149484180039d-15, 4.5965291694182d-11,
-     |   1.2021368732439d-08, 7.0147681715357d-07, 1.6403928495055d-05,
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-     |  -4.5965291694184d-11,-8.6149484180039d-15,-7.0187980289568d-23/
-      data (pmn(lat,18,18), lat = 1,36)/
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-     |   6.3172050033427d-10, 4.8426868559220d-08, 1.4232241123554d-06,
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-     |   1.6983766392378d-12, 1.8902991263613d-16, 5.1074556671442d-25/
-      data (pmn(lat, 0,19), lat = 1,36)/
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-     |   1.6335683818444d+00, 3.2852285694315d-01,-3.6525318135704d+00/
-      data (pmn(lat, 1,19), lat = 1,36)/
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-     |  -1.2705518908771d+00, 7.6775890520589d-01, 8.5570704493696d-01,
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-     |  -6.9381843142684d-01, 2.1398618749325d+00, 1.7134847402859d+00/
-      data (pmn(lat, 2,19), lat = 1,36)/
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-      data (pmn(lat, 3,19), lat = 1,36)/
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-     |   1.9252591394821d+00, 9.9307426066656d-01, 5.3552858322217d-02/
-      data (pmn(lat, 4,19), lat = 1,36)/
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-      data (pmn(lat, 5,19), lat = 1,36)/
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-      data (pmn(lat, 6,19), lat = 1,36)/
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-      data (pmn(lat, 7,19), lat = 1,36)/
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-      data (pmn(lat, 8,19), lat = 1,36)/
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-     |  -2.2383042658994d-02,-5.1339404865939d-04,-9.1101415092176d-08/
-      data (pmn(lat, 9,19), lat = 1,36)/
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-     |   5.0442003889542d-03, 6.6842992567581d-05, 3.8840900518218d-09/
-      data (pmn(lat,10,19), lat = 1,36)/
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-     |  -9.8251996915943d-04,-7.5741927803465d-06,-1.4456400741457d-10/
-      data (pmn(lat,11,19), lat = 1,36)/
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-     |   4.8372400241015d-03, 4.8533337611299d-02, 2.4186759134070d-01,
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-     |   1.6660419464418d-04, 7.5092598011232d-07, 4.7184763962510d-12/
-      data (pmn(lat,12,19), lat = 1,36)/
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-     |   1.0388979661935d-03, 1.4103872470421d-02, 9.2363868353749d-02,
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-     |  -2.4677049006112d-05,-6.5277621966970d-08,-1.3527169815278d-13/
-      data (pmn(lat,13,19), lat = 1,36)/
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-     |   3.1922961704899d-06, 4.9705387539490d-09, 3.4015434743918d-15/
-      data (pmn(lat,14,19), lat = 1,36)/
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-     |  -3.5925768717935d-07,-3.3001758584232d-10,-7.4664012857994d-17/
-      data (pmn(lat,15,19), lat = 1,36)/
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-     |   4.3620427868186d-06, 1.4090820189949d-04, 1.9646700925160d-03,
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-     |   3.4866145834874d-08, 1.8930863301028d-11, 1.4171911028559d-18/
-      data (pmn(lat,16,19), lat = 1,36)/
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-      data (pmn(lat,17,19), lat = 1,36)/
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-     |   4.9801240306393d-08, 2.8094519251166d-06, 6.2901784555796d-05,
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-     |   1.9520273924115d-10, 3.7186028521691d-14, 3.0541748254861d-22/
-      data (pmn(lat,18,19), lat = 1,36)/
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-     |   3.7625023144731d-09, 2.7940491176797d-07, 7.8837804327422d-06,
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-     |  -1.0354945661160d-11,-1.1703921582532d-15,-3.1865692445812d-24/
-      data (pmn(lat,19,19), lat = 1,36)/
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-     |   1.9244528714917d-10, 1.8774421022373d-08, 6.6576260534960d-07,
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-     |   3.7240136433589d-13, 2.4995895914279d-17, 2.2569642109480d-26/
-      data (pmn(lat, 0,20), lat = 1,36)/
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-     |   9.8435651706100d-01, 7.3142527450739d-01,-1.0885729475348d+00,
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-      data (pmn(lat, 1,20), lat = 1,36)/
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-      data (pmn(lat, 2,20), lat = 1,36)/
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-      data (pmn(lat, 3,20), lat = 1,36)/
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-      data (pmn(lat, 4,20), lat = 1,36)/
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-      data (pmn(lat, 5,20), lat = 1,36)/
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-      data (pmn(lat, 6,20), lat = 1,36)/
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-      data (pmn(lat, 7,20), lat = 1,36)/
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-      data (pmn(lat, 8,20), lat = 1,36)/
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-      data (pmn(lat, 9,20), lat = 1,36)/
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-      data (pmn(lat,10,20), lat = 1,36)/
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-      data (pmn(lat,11,20), lat = 1,36)/
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-      data (pmn(lat,12,20), lat = 1,36)/
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-      data (pmn(lat,13,20), lat = 1,36)/
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-      data (pmn(lat,14,20), lat = 1,36)/
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-      data (pmn(lat,15,20), lat = 1,36)/
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-      data (pmn(lat,16,20), lat = 1,36)/
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-     |   8.5876202811070d-09, 2.8109055444246d-12, 7.0309179798957d-20/
-      data (pmn(lat,17,20), lat = 1,36)/
-     |   1.0985863665419d-21, 1.3262629398041d-13, 6.8434989241706d-10,
-     |   1.7007778878788d-07, 9.2567241215711d-06, 1.9785789188901d-04,
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-     |  -6.8434989241708d-10,-1.3262629398041d-13,-1.0985863665419d-21/
-      data (pmn(lat,18,20), lat = 1,36)/
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-     |   1.5995397553632d-08, 1.1484722213304d-06, 3.1030707818518d-05,
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-     |   3.1030707818518d-05, 1.1484722213304d-06, 1.5995397553633d-08,
-     |   4.5123594764082d-11, 5.1836809255748d-15, 1.4227364219152d-23/
-      data (pmn(lat,19,20), lat = 1,36)/
-     |   1.4437867499982d-25, 1.5868256139801d-16, 2.3280092676928d-12,
-     |   1.1752187449816d-09, 1.1106413207675d-07, 3.7812922998632d-06,
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-     |  -2.3280092676929d-12,-1.5868256139801d-16,-1.4437867499982d-25/
-      data (pmn(lat,20,20), lat = 1,36)/
-     |   9.9670392100200d-28, 3.3031500988595d-18, 8.1603718062398d-14,
-     |   5.8588316204472d-11, 7.2739137329482d-09, 3.1123392556696d-07,
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-     |   1.5729102967051d+00, 1.3500388241640d+00, 9.9221364906062d-01,
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-     |   3.1123392556696d-07, 7.2739137329482d-09, 5.8588316204473d-11,
-     |   8.1603718062402d-14, 3.3031500988595d-18, 9.9670392100200d-28/
-      data (pmn(lat, 0,21), lat = 1,36)/
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-     |   1.2608668319850d+00, 2.6898117148348d-01,-1.1678254863253d+00,
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-     |   1.2654639050702d+00, 8.8680966041573d-01,-3.6718210562406d+00/
-      data (pmn(lat, 1,21), lat = 1,36)/
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-     |  -6.3171527504174d-01, 1.2779177727058d+00,-1.6701451410345d-01,
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-     |  -1.2886552789608d+00, 1.8814614377479d+00, 1.9441878222093d+00/
-      data (pmn(lat, 2,21), lat = 1,36)/
-     |   4.7257674958849d-01, 2.2213890838821d+00, 7.2617035359135d-01,
-     |  -1.4504363976151d+00, 1.8127972994104d-02, 1.1404437552374d+00,
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-     |  -7.2617035359133d-01,-2.2213890838821d+00,-4.7257674958849d-01/
-      data (pmn(lat, 3,21), lat = 1,36)/
-     |   7.4784737149878d-02, 1.2709305009659d+00, 1.9078603154260d+00,
-     |  -2.2721585541735d-01,-1.2753125395613d+00, 5.7811464205803d-01,
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-     |  -3.1083531296845d-01,-8.6404062515938d-01, 8.2081939601796d-01,
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-     |   1.9078603154260d+00, 1.2709305009659d+00, 7.4784737149878d-02/
-      data (pmn(lat, 4,21), lat = 1,36)/
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-     |   1.2562471367623d+00,-8.8908629973397d-01,-8.3391115909127d-01,
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-     |  -1.7030928507349d+00,-4.9432247969512d-01,-8.7509011715863d-03/
-      data (pmn(lat, 5,21), lat = 1,36)/
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-     |   1.7453761065612d+00, 4.7003456001058d-01,-1.1928907090891d+00,
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-     |   9.9817436372106d-01, 1.4638216569772d-01, 8.0883904602403d-04/
-      data (pmn(lat, 6,21), lat = 1,36)/
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-     |   1.3926253476382d+00, 1.4452812716463d+00,-2.5900121630402d-01,
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-     |  -4.4356181372043d-01,-3.4943854620416d-02,-6.1460733333015d-05/
-      data (pmn(lat, 7,21), lat = 1,36)/
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-     |  -5.1836491646674d-01, 7.3100536876141d-01, 2.2974247755301d-01,
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-     |   1.5920209151825d-01, 6.9583114480581d-03, 3.9417992661346d-06/
-      data (pmn(lat, 8,21), lat = 1,36)/
-     |   2.1729784331802d-07, 1.1819088504337d-03, 4.7807134003085d-02,
-     |   3.8197574285229d-01, 1.1574726330017d+00, 1.4893431538604d+00,
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-     |  -4.7807134003086d-02,-1.1819088504337d-03,-2.1729784331802d-07/
-      data (pmn(lat, 9,21), lat = 1,36)/
-     |   1.0429559392146d-08, 1.7387385323740d-04, 1.2278020447682d-02,
-     |   1.4884802588164d-01, 6.6580546111047d-01, 1.3808234874846d+00,
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-     |  -5.5781943573122d-02, 9.7105772360873d-01, 1.3902077685943d-02,
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-     |   1.2278020447682d-02, 1.7387385323740d-04, 1.0429559392146d-08/
-      data (pmn(lat,10,21), lat = 1,36)/
-     |   4.3980904097065d-10, 2.2389084969799d-05, 2.7360506059172d-03,
-     |   4.9469063772283d-02, 3.1496813293293d-01, 9.5054767820501d-01,
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-     |   6.2647337246074d-01, 5.1645619828565d-01,-7.2618889824739d-01,
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-     |  -9.5054767820501d-01,-3.1496813293293d-01,-4.9469063772283d-02,
-     |  -2.7360506059173d-03,-2.2389084969799d-05,-4.3980904097065d-10/
-      data (pmn(lat,11,21), lat = 1,36)/
-     |   1.6395480028895d-11, 2.5414724969111d-06, 5.3410255810886d-04,
-     |   1.4233266745492d-02, 1.2613040093842d-01, 5.2699715589455d-01,
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-     |  -9.2702613441976d-01,-6.7977881275498d-01, 6.5730710819037d-01,
-     |   7.2471659403816d-01,-5.6137246154208d-01,-6.9705090060305d-01,
-     |   5.5755872938833d-01, 6.4818106223408d-01,-5.9591414395434d-01,
-     |  -5.9591414395434d-01, 6.4818106223408d-01, 5.5755872938834d-01,
-     |  -6.9705090060304d-01,-5.6137246154208d-01, 7.2471659403816d-01,
-     |   6.5730710819038d-01,-6.7977881275498d-01,-9.2702613441976d-01,
-     |   3.4117435424664d-01, 1.3501169306150d+00, 1.1791494195521d+00,
-     |   5.2699715589455d-01, 1.2613040093842d-01, 1.4233266745493d-02,
-     |   5.3410255810887d-04, 2.5414724969111d-06, 1.6395480028895d-11/
-      data (pmn(lat,12,21), lat = 1,36)/
-     |   5.4233726428550d-13, 2.5544207846552d-07, 9.1882108416232d-05,
-     |   3.5784350517605d-03, 4.3477057015305d-02, 2.4429787807598d-01,
-     |   7.5099878510347d-01, 1.3167345273604d+00, 1.1435880784823d+00,
-     |  -6.3705338463708d-02,-1.0338317504765d+00,-4.0528246107019d-01,
-     |   8.1845085866479d-01, 5.5559069133014d-01,-6.9309616949038d-01,
-     |  -6.0030819608440d-01, 6.3673906825905d-01, 6.1550934411783d-01,
-     |  -6.1550934411782d-01,-6.3673906825905d-01, 6.0030819608439d-01,
-     |   6.9309616949038d-01,-5.5559069133014d-01,-8.1845085866479d-01,
-     |   4.0528246107018d-01, 1.0338317504765d+00, 6.3705338463710d-02,
-     |  -1.1435880784823d+00,-1.3167345273604d+00,-7.5099878510347d-01,
-     |  -2.4429787807598d-01,-4.3477057015305d-02,-3.5784350517606d-03,
-     |  -9.1882108416234d-05,-2.5544207846552d-07,-5.4233726428550d-13/
-      data (pmn(lat,13,21), lat = 1,36)/
-     |   1.5942948337828d-14, 2.2778705180901d-08, 1.3972961060895d-05,
-     |   7.9027540704443d-04, 1.3024580005047d-02, 9.6589479450238d-02,
-     |   3.9282632017948d-01, 9.5227174856757d-01, 1.3579508059852d+00,
-     |   8.8260383559874d-01,-3.8244714401456d-01,-1.0368357572061d+00,
-     |  -1.6805292286030d-01, 8.9871169480698d-01, 4.2404632967725d-01,
-     |  -7.6160236495058d-01,-5.5810869214669d-01, 6.5571267839743d-01,
-     |   6.5571267839744d-01,-5.5810869214669d-01,-7.6160236495058d-01,
-     |   4.2404632967725d-01, 8.9871169480698d-01,-1.6805292286030d-01,
-     |  -1.0368357572061d+00,-3.8244714401456d-01, 8.8260383559874d-01,
-     |   1.3579508059852d+00, 9.5227174856757d-01, 3.9282632017948d-01,
-     |   9.6589479450238d-02, 1.3024580005047d-02, 7.9027540704445d-04,
-     |   1.3972961060895d-05, 2.2778705180901d-08, 1.5942948337828d-14/
-      data (pmn(lat,14,21), lat = 1,36)/
-     |   4.1622798845989d-16, 1.8015751475285d-09, 1.8792787830978d-06,
-     |   1.5360001018416d-04, 3.4069499101942d-03, 3.2913352671534d-02,
-     |   1.7300011818778d-01, 5.5178895633331d-01, 1.1071344941052d+00,
-     |   1.3232424294449d+00, 6.2478527057527d-01,-6.0265938134420d-01,
-     |  -9.9153750648152d-01,-2.3991163002331d-03, 9.3230609938406d-01,
-     |   3.6521297677828d-01,-7.7981322761540d-01,-5.9896857337877d-01,
-     |   5.9896857337876d-01, 7.7981322761540d-01,-3.6521297677828d-01,
-     |  -9.3230609938406d-01, 2.3991163002315d-03, 9.9153750648153d-01,
-     |   6.0265938134421d-01,-6.2478527057527d-01,-1.3232424294449d+00,
-     |  -1.1071344941052d+00,-5.5178895633331d-01,-1.7300011818778d-01,
-     |  -3.2913352671534d-02,-3.4069499101942d-03,-1.5360001018416d-04,
-     |  -1.8792787830979d-06,-1.8015751475285d-09,-4.1622798845989d-16/
-      data (pmn(lat,15,21), lat = 1,36)/
-     |   9.6204405688466d-18, 1.2601145243652d-10, 2.2301457438750d-07,
-     |   2.6240748586977d-05, 7.7860819863786d-04, 9.7058639349251d-03,
-     |   6.4904093369738d-02, 2.6460008843045d-01, 6.9970325587229d-01,
-     |   1.2083527426457d+00, 1.2487425572210d+00, 4.1572074921799d-01,
-     |  -7.3328042590558d-01,-9.4907810922657d-01, 7.1503777803564d-02,
-     |   9.4560957219812d-01, 4.0721530797256d-01,-7.3730881938918d-01,
-     |  -7.3730881938918d-01, 4.0721530797256d-01, 9.4560957219813d-01,
-     |   7.1503777803565d-02,-9.4907810922656d-01,-7.3328042590557d-01,
-     |   4.1572074921799d-01, 1.2487425572210d+00, 1.2083527426457d+00,
-     |   6.9970325587229d-01, 2.6460008843045d-01, 6.4904093369739d-02,
-     |   9.7058639349251d-03, 7.7860819863786d-04, 2.6240748586978d-05,
-     |   2.2301457438751d-07, 1.2601145243652d-10, 9.6204405688466d-18/
-      data (pmn(lat,16,21), lat = 1,36)/
-     |   1.9564070331652d-19, 7.7479188944196d-12, 2.3221079253840d-08,
-     |   3.9213020670913d-06, 1.5491228339593d-04, 2.4739119907290d-03,
-     |   2.0811129152486d-02, 1.0642040610783d-01, 3.5789719503615d-01,
-     |   8.1959673148104d-01, 1.2636296177729d+00, 1.1753433079644d+00,
-     |   2.8782668976205d-01,-7.8898058448175d-01,-9.4791053467562d-01,
-     |   3.2988768484531d-02, 9.3877809505771d-01, 5.7334065638264d-01,
-     |  -5.7334065638264d-01,-9.3877809505771d-01,-3.2988768484537d-02,
-     |   9.4791053467562d-01, 7.8898058448175d-01,-2.8782668976206d-01,
-     |  -1.1753433079644d+00,-1.2636296177729d+00,-8.1959673148104d-01,
-     |  -3.5789719503616d-01,-1.0642040610783d-01,-2.0811129152486d-02,
-     |  -2.4739119907290d-03,-1.5491228339593d-04,-3.9213020670913d-06,
-     |  -2.3221079253841d-08,-7.7479188944196d-12,-1.9564070331652d-19/
-      data (pmn(lat,17,21), lat = 1,36)/
-     |   3.4638235035386d-21, 4.1445172113312d-13, 2.1002761263666d-09,
-     |   5.0773557485578d-07, 2.6604799898575d-05, 5.4126240513785d-04,
-     |   5.6799367961720d-03, 3.5956070234890d-02, 1.5039821562156d-01,
-     |   4.3736458429546d-01, 9.0117951840688d-01, 1.2889348571783d+00,
-     |   1.1404697900742d+00, 2.6720296294797d-01,-7.7113654189580d-01,
-     |  -1.0051644235968d+00,-1.5325047721337d-01, 8.5509687293821d-01,
-     |   8.5509687293821d-01,-1.5325047721337d-01,-1.0051644235968d+00,
-     |  -7.7113654189580d-01, 2.6720296294797d-01, 1.1404697900742d+00,
-     |   1.2889348571783d+00, 9.0117951840688d-01, 4.3736458429546d-01,
-     |   1.5039821562156d-01, 3.5956070234890d-02, 5.6799367961720d-03,
-     |   5.4126240513785d-04, 2.6604799898575d-05, 5.0773557485579d-07,
-     |   2.1002761263666d-09, 4.1445172113312d-13, 3.4638235035386d-21/
-      data (pmn(lat,18,21), lat = 1,36)/
-     |   5.2478486202546d-23, 1.8959385825246d-14, 1.6224556994274d-10,
-     |   5.6033042932629d-08, 3.8823287472313d-06, 1.0017299644885d-04,
-     |   1.3028576381071d-03, 1.0111874920455d-02, 5.1815593709471d-02,
-     |   1.8645690509798d-01, 4.8783411717429d-01, 9.3817810485121d-01,
-     |   1.2984853402391d+00, 1.1720128608624d+00, 3.8425463237435d-01,
-     |  -6.4301580080417d-01,-1.0909643612327d+00,-5.3111211127005d-01,
-     |   5.3111211127005d-01, 1.0909643612327d+00, 6.4301580080417d-01,
-     |  -3.8425463237435d-01,-1.1720128608624d+00,-1.2984853402391d+00,
-     |  -9.3817810485121d-01,-4.8783411717429d-01,-1.8645690509798d-01,
-     |  -5.1815593709471d-02,-1.0111874920455d-02,-1.3028576381071d-03,
-     |  -1.0017299644885d-04,-3.8823287472313d-06,-5.6033042932630d-08,
-     |  -1.6224556994275d-10,-1.8959385825246d-14,-5.2478486202546d-23/
-      data (pmn(lat,19,21), lat = 1,36)/
-     |   6.6058103714170d-25, 7.2022275881007d-16, 1.0396557595899d-11,
-     |   5.1205286305333d-09, 4.6792864805603d-07, 1.5257178339952d-05,
-     |   2.4468396323009d-04, 2.3112702808007d-03, 1.4351391166807d-02,
-     |   6.2818663815732d-02, 2.0266552909061d-01, 4.9458270773814d-01,
-     |   9.2105842313388d-01, 1.2907380086433d+00, 1.2773869596056d+00,
-     |   6.7758624945579d-01,-2.9727794611886d-01,-1.0511667962678d+00,
-     |  -1.0511667962678d+00,-2.9727794611886d-01, 6.7758624945578d-01,
-     |   1.2773869596055d+00, 1.2907380086433d+00, 9.2105842313388d-01,
-     |   4.9458270773814d-01, 2.0266552909061d-01, 6.2818663815732d-02,
-     |   1.4351391166807d-02, 2.3112702808007d-03, 2.4468396323009d-04,
-     |   1.5257178339952d-05, 4.6792864805603d-07, 5.1205286305334d-09,
-     |   1.0396557595899d-11, 7.2022275881007d-16, 6.6058103714170d-25/
-      data (pmn(lat,20,21), lat = 1,36)/
-     |   6.5296040320177d-27, 2.1474897664404d-17, 5.2242708857334d-13,
-     |   3.6640783030380d-10, 4.4067429645187d-08, 1.8102980442922d-06,
-     |   3.5650763406809d-05, 4.0749133052774d-04, 3.0409338102351d-03,
-     |   1.5995955770533d-02, 6.2443808363365d-02, 1.8728781488636d-01,
-     |   4.4125865940584d-01, 8.2576361171163d-01, 1.2252959493545d+00,
-     |   1.4082383767822d+00, 1.1555218300279d+00, 4.4990181464170d-01,
-     |  -4.4990181464170d-01,-1.1555218300279d+00,-1.4082383767822d+00,
-     |  -1.2252959493545d+00,-8.2576361171163d-01,-4.4125865940584d-01,
-     |  -1.8728781488636d-01,-6.2443808363365d-02,-1.5995955770533d-02,
-     |  -3.0409338102352d-03,-4.0749133052774d-04,-3.5650763406810d-05,
-     |  -1.8102980442922d-06,-4.4067429645187d-08,-3.6640783030381d-10,
-     |  -5.2242708857337d-13,-2.1474897664404d-17,-6.5296040320177d-27/
-      data (pmn(lat,21,21), lat = 1,36)/
-     |   4.3990136640885d-29, 4.3625012086151d-19, 1.7871305541549d-14,
-     |   1.7826348947883d-11, 2.8165495068246d-09, 1.4541262448108d-07,
-     |   3.5045440326199d-06, 4.8247431865034d-05, 4.2996666247218d-04,
-     |   2.6935999027703d-03, 1.2556952858176d-02, 4.5362558923116d-02,
-     |   1.3079523430063d-01, 3.0761448474526d-01, 5.9964476981531d-01,
-     |   9.8015845980312d-01, 1.3543297134129d+00, 1.5900104882917d+00,
-     |   1.5900104882917d+00, 1.3543297134129d+00, 9.8015845980312d-01,
-     |   5.9964476981531d-01, 3.0761448474526d-01, 1.3079523430063d-01,
-     |   4.5362558923116d-02, 1.2556952858176d-02, 2.6935999027703d-03,
-     |   4.2996666247218d-04, 4.8247431865034d-05, 3.5045440326199d-06,
-     |   1.4541262448108d-07, 2.8165495068246d-09, 1.7826348947883d-11,
-     |   1.7871305541550d-14, 4.3625012086151d-19, 4.3990136640885d-29/
-      data (pmn(lat, 0,22), lat = 1,36)/
-     |   3.6679072066954d+00,-1.1448877055994d+00,-9.8510402333488d-01,
-     |   1.4200176100173d+00,-2.3455968294700d-01,-9.8261221188894d-01,
-     |   8.9939151732300d-01, 2.0667183606562d-01,-9.5294914268870d-01,
-     |   5.1220609917296d-01, 5.0074213600892d-01,-8.5136563234338d-01,
-     |   1.6285071589728d-01, 6.9116434466577d-01,-6.7843646193270d-01,
-     |  -1.5849159538469d-01, 7.8593790300057d-01,-4.4327641914363d-01,
-     |  -4.4327641914363d-01, 7.8593790300057d-01,-1.5849159538468d-01,
-     |  -6.7843646193270d-01, 6.9116434466577d-01, 1.6285071589727d-01,
-     |  -8.5136563234338d-01, 5.0074213600892d-01, 5.1220609917296d-01,
-     |  -9.5294914268871d-01, 2.0667183606562d-01, 8.9939151732301d-01,
-     |  -9.8261221188894d-01,-2.3455968294700d-01, 1.4200176100173d+00,
-     |  -9.8510402333486d-01,-1.1448877055994d+00, 3.6679072066954d+00/
-      data (pmn(lat, 1,22), lat = 1,36)/
-     |   2.0588826700205d+00, 1.7075883291498d+00,-1.5038393165244d+00,
-     |  -2.0958156249029d-01, 1.2570669294511d+00,-6.8432513098337d-01,
-     |  -5.8166776993858d-01, 1.0080671875985d+00,-2.0680366572515d-01,
-     |  -7.6518571974438d-01, 7.5156108803496d-01, 1.6053185230997d-01,
-     |  -8.2982775661259d-01, 4.6613327467185d-01, 4.5051925900646d-01,
-     |  -7.9288069594751d-01, 1.5811226405588d-01, 6.6365616720366d-01,
-     |  -6.6365616720366d-01,-1.5811226405588d-01, 7.9288069594751d-01,
-     |  -4.5051925900646d-01,-4.6613327467185d-01, 8.2982775661259d-01,
-     |  -1.6053185230996d-01,-7.5156108803496d-01, 7.6518571974438d-01,
-     |   2.0680366572516d-01,-1.0080671875985d+00, 5.8166776993857d-01,
-     |   6.8432513098337d-01,-1.2570669294511d+00, 2.0958156249028d-01,
-     |   1.5038393165244d+00,-1.7075883291498d+00,-2.0588826700205d+00/
-      data (pmn(lat, 2,22), lat = 1,36)/
-     |   5.2582756514223d-01, 2.3026540071959d+00, 3.8274506787115d-01,
-     |  -1.4820491925413d+00, 5.0538858777439d-01, 8.6744814005783d-01,
-     |  -9.8251392548972d-01,-9.0044344482012d-02, 9.3473228254815d-01,
-     |  -5.7568598673551d-01,-4.5035878305901d-01, 8.6216411925913d-01,
-     |  -2.0165743756682d-01,-6.7533352483516d-01, 6.9243589062108d-01,
-     |   1.4314625443401d-01,-7.8564133415251d-01, 4.4673643928306d-01,
-     |   4.4673643928306d-01,-7.8564133415251d-01, 1.4314625443400d-01,
-     |   6.9243589062108d-01,-6.7533352483516d-01,-2.0165743756681d-01,
-     |   8.6216411925913d-01,-4.5035878305901d-01,-5.7568598673552d-01,
-     |   9.3473228254815d-01,-9.0044344482008d-02,-9.8251392548973d-01,
-     |   8.6744814005783d-01, 5.0538858777439d-01,-1.4820491925413d+00,
-     |   3.8274506787113d-01, 2.3026540071959d+00, 5.2582756514223d-01/
-      data (pmn(lat, 3,22), lat = 1,36)/
-     |   8.7292685134103d-02, 1.4143716554062d+00, 1.8186797119720d+00,
-     |  -6.3042554148395d-01,-1.0438241984085d+00, 9.8514315315791d-01,
-     |   3.0810589682090d-01,-1.0330832856219d+00, 3.9010692041942d-01,
-     |   6.7387489514958d-01,-8.1637922271113d-01,-6.2918242152932d-02,
-     |   8.1436173877210d-01,-5.1803412952508d-01,-4.1326272646006d-01,
-     |   8.0172278748524d-01,-1.7724586818211d-01,-6.6281635505835d-01,
-     |   6.6281635505835d-01, 1.7724586818211d-01,-8.0172278748524d-01,
-     |   4.1326272646006d-01, 5.1803412952508d-01,-8.1436173877210d-01,
-     |   6.2918242152923d-02, 8.1637922271113d-01,-6.7387489514958d-01,
-     |  -3.9010692041943d-01, 1.0330832856219d+00,-3.0810589682089d-01,
-     |  -9.8514315315791d-01, 1.0438241984085d+00, 6.3042554148396d-01,
-     |  -1.8186797119720d+00,-1.4143716554062d+00,-8.7292685134103d-02/
-      data (pmn(lat, 4,22), lat = 1,36)/
-     |   1.0713766698539d-02, 5.8356620089845d-01, 1.8295042607501d+00,
-     |   9.5126409650646d-01,-1.1887333715149d+00,-3.6183009370386d-01,
-     |   1.1190196887577d+00,-2.7285877455061d-01,-8.2546548260530d-01,
-     |   7.4586532993151d-01, 2.8397904324480d-01,-8.7820473996000d-01,
-     |   3.1731942619143d-01, 6.2149677283716d-01,-7.3180345429774d-01,
-     |  -9.6032166894278d-02, 7.8409872528890d-01,-4.5725343896706d-01,
-     |  -4.5725343896706d-01, 7.8409872528890d-01,-9.6032166894271d-02,
-     |  -7.3180345429774d-01, 6.2149677283715d-01, 3.1731942619143d-01,
-     |  -8.7820473996000d-01, 2.8397904324480d-01, 7.4586532993151d-01,
-     |  -8.2546548260530d-01,-2.7285877455061d-01, 1.1190196887577d+00,
-     |  -3.6183009370386d-01,-1.1887333715149d+00, 9.5126409650645d-01,
-     |   1.8295042607501d+00, 5.8356620089845d-01, 1.0713766698539d-02/
-      data (pmn(lat, 5,22), lat = 1,36)/
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-      data (pmn(lat, 6,22), lat = 1,36)/
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-      data (pmn(lat, 7,22), lat = 1,36)/
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-      data (pmn(lat, 8,22), lat = 1,36)/
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-      data (pmn(lat, 9,22), lat = 1,36)/
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-      data (pmn(lat,10,22), lat = 1,36)/
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-      data (pmn(lat,11,22), lat = 1,36)/
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-      data (pmn(lat,12,22), lat = 1,36)/
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-      data (pmn(lat,13,22), lat = 1,36)/
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-      data (pmn(lat,14,22), lat = 1,36)/
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-      data (pmn(lat,15,22), lat = 1,36)/
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-      data (pmn(lat,16,22), lat = 1,36)/
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-      data (pmn(lat,17,22), lat = 1,36)/
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-      data (pmn(lat,18,22), lat = 1,36)/
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-      data (pmn(lat,19,22), lat = 1,36)/
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-      data (pmn(lat,20,22), lat = 1,36)/
-     |   3.0579843685227d-26, 9.9770485553346d-17, 2.3882531924306d-12,
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-     |   2.3882531924308d-12, 9.9770485553346d-17, 3.0579843685227d-26/
-      data (pmn(lat,21,22), lat = 1,36)/
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-     |  -1.1704262404677d-13,-2.9014185500219d-18,-2.9481394273639d-28/
-      data (pmn(lat,22,22), lat = 1,36)/
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-     |   5.4210589043120d-12, 1.0900262795420d-09, 6.7902791926857d-08,
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-     |   3.9117667347161d-15, 5.7585500742737d-20, 1.9405051122872d-30/
-      data (pmn(lat, 0,23), lat = 1,36)/
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-      data (pmn(lat, 1,23), lat = 1,36)/
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-      data (pmn(lat, 2,23), lat = 1,36)/
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-     |  -2.4080241990841d-02,-2.3615358096345d+00,-5.8198012597891d-01/
-      data (pmn(lat, 3,23), lat = 1,36)/
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-     |   1.6745256695130d+00, 1.5581050785442d+00, 1.0115436695902d-01/
-      data (pmn(lat, 4,23), lat = 1,36)/
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-      data (pmn(lat, 5,23), lat = 1,36)/
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-      data (pmn(lat, 6,23), lat = 1,36)/
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-      data (pmn(lat, 7,23), lat = 1,36)/
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-      data (pmn(lat, 8,23), lat = 1,36)/
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-      data (pmn(lat, 9,23), lat = 1,36)/
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-      data (pmn(lat,10,23), lat = 1,36)/
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-      data (pmn(lat,11,23), lat = 1,36)/
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-      data (pmn(lat,12,23), lat = 1,36)/
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-      data (pmn(lat,13,23), lat = 1,36)/
-     |   6.2175194751880d-14, 8.6663500782946d-08, 5.0530603825732d-05,
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-      data (pmn(lat,14,23), lat = 1,36)/
-     |   1.8663388801125d-15, 7.8940759430221d-09, 7.8555570486439d-06,
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-     |  -7.8555570486442d-06,-7.8940759430221d-09,-1.8663388801125d-15/
-      data (pmn(lat,15,23), lat = 1,36)/
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-     |   1.1993501287315d-04, 3.2346164374303d-03, 3.5475950023091d-02,
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-     |   1.0912100746393d-06, 6.4429768430198d-10, 5.0262569994897d-17/
-      data (pmn(lat,16,23), lat = 1,36)/
-     |   1.2119321681741d-18, 4.7031771028210d-11, 1.3526177336100d-07,
-     |   2.1433228785752d-05, 7.7504066008169d-04, 1.1007857516375d-02,
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-     |  -1.3526177336100d-07,-4.7031771028210d-11,-1.2119321681741d-18/
-      data (pmn(lat,17,23), lat = 1,36)/
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-     |   2.9903727703038d-03, 1.6380128776520d-04, 3.3947981425742d-06,
-     |   1.4906468938541d-08, 3.0580183306401d-12, 2.6051815373636d-20/
-      data (pmn(lat,18,23), lat = 1,36)/
-     |   4.9570498785129d-22, 1.7587073351565d-13, 1.4507836890174d-09,
-     |   4.7364972179970d-07, 3.0376264412675d-05, 7.0864756054141d-04,
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-     |  -1.4507836890175d-09,-1.7587073351565d-13,-4.9570498785129d-22/
-      data (pmn(lat,19,23), lat = 1,36)/
-     |   8.2553626500563d-24, 8.8471320466960d-15, 1.2334327631583d-10,
-     |   5.7604707168262d-08, 4.8946081780301d-06, 1.4523192259952d-04,
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-     |   8.7351761178033d-02, 1.6869523596028d-02, 2.0686702205048d-03,
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-     |   1.2334327631584d-10, 8.8471320466960d-15, 8.2553626500563d-24/
-      data (pmn(lat,20,23), lat = 1,36)/
-     |   1.1819485111968d-25, 3.8240906864926d-16, 9.0003488392580d-12,
-     |   6.0021492804328d-09, 6.7389325615509d-07, 2.5334775668126d-05,
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-     |  -2.5334775668126d-05,-6.7389325615509d-07,-6.0021492804329d-09,
-     |  -9.0003488392585d-12,-3.8240906864926d-16,-1.1819485111968d-25/
-      data (pmn(lat,21,23), lat = 1,36)/
-     |   1.4117885861775d-27, 1.3783574312149d-17, 5.4713461575005d-13,
-     |   5.2021075130551d-10, 7.7003693974164d-08, 3.6562610708002d-06,
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-     |   7.3720619174009d-03, 9.6342295010624d-04, 7.9419221735758d-05,
-     |   3.6562610708002d-06, 7.7003693974164d-08, 5.2021075130553d-10,
-     |   5.4713461575008d-13, 1.3783574312149d-17, 1.4117885861775d-27/
-      data (pmn(lat,22,23), lat = 1,36)/
-     |   1.3290770879927d-29, 3.9140885153274d-19, 2.6182034528435d-14,
-     |   3.5444802176001d-11, 6.9040073236682d-09, 4.1291958696641d-07,
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-     |  -2.6182034528436d-14,-3.9140885153274d-19,-1.3290770879927d-29/
-      data (pmn(lat,23,23), lat = 1,36)/
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-     |   1.6477675409415d-12, 4.2164469663105d-10, 3.1692992236732d-08,
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-     |   8.5581464283352d-16, 7.5976770535065d-21, 8.5558737195385d-32/
-      data (pmn(lat, 0,24), lat = 1,36)/
-     |   3.6338762572450d+00,-1.5964754870155d+00,-2.9854463625158d-01,
-     |   1.3395178598293d+00,-1.0628250665150d+00,-3.7054255358707d-02,
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-     |  -2.9854463625156d-01,-1.5964754870155d+00, 3.6338762572450d+00/
-      data (pmn(lat, 1,24), lat = 1,36)/
-     |   2.2853461605448d+00, 1.2827255952344d+00,-1.7199283358161d+00,
-     |   6.5167015076562d-01, 6.7808067741959d-01,-1.1758635637497d+00,
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-      data (pmn(lat, 2,24), lat = 1,36)/
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-      data (pmn(lat, 3,24), lat = 1,36)/
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-     |  -1.4773658560209d+00,-1.6998971568330d+00,-1.1643695544653d-01/
-      data (pmn(lat, 4,24), lat = 1,36)/
-     |   1.5627252903869d-02, 7.8669145510980d-01, 1.9860720931937d+00,
-     |   1.8651095753507d-01,-1.3273378186663d+00, 6.8704216656005d-01,
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-     |   4.7904975582013d-01,-8.3497145675586d-01, 3.7480354160098d-01,
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-     |   3.9642549830508d-01,-8.0654198678906d-01, 4.3263330613890d-01,
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-     |   4.3951433691133d-01,-1.0407909944206d+00, 5.5017523275510d-01,
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-     |   1.9860720931937d+00, 7.8669145510980d-01, 1.5627252903869d-02/
-      data (pmn(lat, 5,24), lat = 1,36)/
-     |   1.6583092538338d-03, 2.7337755792285d-01, 1.4883626859696d+00,
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-      data (pmn(lat, 6,24), lat = 1,36)/
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-      data (pmn(lat, 7,24), lat = 1,36)/
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-      data (pmn(lat, 8,24), lat = 1,36)/
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-      data (pmn(lat, 9,24), lat = 1,36)/
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-     |  -3.8130707194443d-02,-6.0510825465644d-04,-3.8300321900335d-08/
-      data (pmn(lat,10,24), lat = 1,36)/
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-     |   1.0125647152483d-02, 9.1752322181674d-05, 1.8922352860304d-09/
-      data (pmn(lat,11,24), lat = 1,36)/
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-      data (pmn(lat,12,24), lat = 1,36)/
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-     |   1.6696362341114d-02, 1.6664756238145d-01, 7.0451527464948d-01,
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-     |   4.9037902431315d-04, 1.4835965882977d-06, 3.2815116442323d-12/
-      data (pmn(lat,13,24), lat = 1,36)/
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-     |   4.5385326016344d-03, 6.2696065950311d-02, 3.6302741896934d-01,
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-      data (pmn(lat,14,24), lat = 1,36)/
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-     |   1.0975695046717d-03, 2.0734701752718d-02, 1.6074996383389d-01,
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-      data (pmn(lat,15,24), lat = 1,36)/
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-      data (pmn(lat,16,24), lat = 1,36)/
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-     |   2.9842083354999d-07, 1.0608061751585d-10, 2.7633018728828d-18/
-      data (pmn(lat,17,24), lat = 1,36)/
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-      data (pmn(lat,18,24), lat = 1,36)/
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-      data (pmn(lat,19,24), lat = 1,36)/
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-     |   1.6285542894954d-07, 1.3304885321987d-05, 3.7505168788864d-04,
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-     |  -3.5879570736039d-10,-2.6218931820844d-14,-2.4690969043772d-23/
-      data (pmn(lat,20,24), lat = 1,36)/
-     |   3.9982626353955d-25, 1.2823416439622d-15, 2.9652090259223d-11,
-     |   1.9246940187318d-08, 2.0823372778821d-06, 7.4608316840179d-05,
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-      data (pmn(lat,21,24), lat = 1,36)/
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-      data (pmn(lat,22,24), lat = 1,36)/
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-     |   1.2503559500207d-13, 1.8995405500702d-18, 6.5017707663498d-29/
-      data (pmn(lat,23,24), lat = 1,36)/
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-      data (pmn(lat,24,24), lat = 1,36)/
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-      data (pmn(lat, 0,25), lat = 1,36)/
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-      data (pmn(lat, 1,25), lat = 1,36)/
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-     |  -1.7105210721911d+00, 1.0380824024542d+00, 2.3964890353187d+00/
-      data (pmn(lat, 2,25), lat = 1,36)/
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-      data (pmn(lat, 3,25), lat = 1,36)/
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-      data (pmn(lat, 4,25), lat = 1,36)/
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-      data (pmn(lat, 5,25), lat = 1,36)/
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-      data (pmn(lat, 6,25), lat = 1,36)/
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-      data (pmn(lat, 7,25), lat = 1,36)/
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-      data (pmn(lat, 8,25), lat = 1,36)/
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-      data (pmn(lat, 9,25), lat = 1,36)/
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-      data (pmn(lat,10,25), lat = 1,36)/
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-      data (pmn(lat,11,25), lat = 1,36)/
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-     |   3.6739236861211d-03, 1.9834676119050d-05, 1.3595352926833d-10/
-      data (pmn(lat,12,25), lat = 1,36)/
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-     |  -8.0475682530721d-04,-2.5111750948480d-06,-5.6375959408196d-12/
-      data (pmn(lat,13,25), lat = 1,36)/
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-     |   7.5358230302388d-03, 9.7407864483636d-02, 5.1209511323786d-01,
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-     |   1.5762903266514d-04, 2.8582984722440d-07, 2.1067366700130d-13/
-      data (pmn(lat,14,25), lat = 1,36)/
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-     |   1.9415265591573d-03, 3.4540852970529d-02, 2.4606319945210d-01,
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-     |  -2.7728987931543d-05,-2.9342177555215d-08,-7.1138136690143d-15/
-      data (pmn(lat,15,25), lat = 1,36)/
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-     |   4.4773731691660d-04, 1.0852195790911d-02, 1.0282203009062d-01,
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-     |   1.3413233829054d+00, 1.1506929433826d+00, 4.7452913619205d-01,
-     |   1.0282203009062d-01, 1.0852195790911d-02, 4.4773731691660d-04,
-     |   4.3920933736478d-06, 2.7212786344809d-09, 2.1734749273218d-16/
-      data (pmn(lat,16,25), lat = 1,36)/
-     |   6.0086592284519d-18, 2.2807627086792d-10, 6.2698259833121d-07,
-     |   9.2621168889948d-05, 3.0348240479295d-03, 3.7736863413351d-02,
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-     |  -3.7736863413351d-02,-3.0348240479295d-03,-9.2621168889949d-05,
-     |  -6.2698259833123d-07,-2.2807627086792d-10,-6.0086592284519d-18/
-      data (pmn(lat,17,25), lat = 1,36)/
-     |   1.5009647880589d-19, 1.7254613846842d-11, 8.0609663351293d-08,
-     |   1.7190858157404d-05, 7.5683792961372d-04, 1.2228615441150d-02,
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-     |   1.2228615441150d-02, 7.5683792961372d-04, 1.7190858157405d-05,
-     |   8.0609663351296d-08, 1.7254613846842d-11, 1.5009647880589d-19/
-      data (pmn(lat,18,25), lat = 1,36)/
-     |   3.3777447969771d-21, 1.1749365270744d-12, 9.3109646462500d-09,
-     |   2.8576493994508d-06, 1.6821924711840d-04, 3.5047742245330d-03,
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-     |  -9.3109646462503d-09,-1.1749365270744d-12,-3.3777447969771d-21/
-      data (pmn(lat,19,25), lat = 1,36)/
-     |   6.8133206437096d-23, 7.1660135405647d-14, 9.6178035438503d-10,
-     |   4.2371083856866d-07, 3.3217588834651d-05, 8.8700545394512d-04,
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-     |   3.1587362089860d-01, 7.5911466772984d-02, 1.1042577635247d-02,
-     |   8.8700545394512d-04, 3.3217588834651d-05, 4.2371083856867d-07,
-     |   9.6178035438507d-10, 7.1660135405647d-14, 6.8133206437096d-23/
-      data (pmn(lat,20,25), lat = 1,36)/
-     |   1.2223264441743d-24, 3.8847421723186d-15, 8.8186065174196d-11,
-     |   5.5645089504972d-08, 5.7906218656724d-06, 1.9720955670079d-04,
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-     |  -8.8186065174200d-11,-3.8847421723186d-15,-1.2223264441743d-24/
-      data (pmn(lat,21,25), lat = 1,36)/
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-     |   6.4004441621040d-09, 8.8167295413030d-07, 3.8142158551675d-05,
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-     |   3.8142158551675d-05, 8.8167295413030d-07, 6.4004441621042d-09,
-     |   7.0950327724510d-12, 1.8500067981590d-16, 1.9274325433043d-26/
-      data (pmn(lat,22,25), lat = 1,36)/
-     |   2.6227533844798d-28, 7.5991490279806d-18, 4.9188151229186d-13,
-     |   6.3336641765599d-10, 1.1522145838210d-07, 6.3105567275807d-06,
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-     |  -4.9188151229189d-13,-7.5991490279806d-18,-2.6227533844798d-28/
-      data (pmn(lat,23,25), lat = 1,36)/
-     |   2.9875193647644d-30, 2.6118715962101d-19, 2.8509429985277d-14,
-     |   5.2326929417168d-11, 1.2546220170261d-08, 8.6746705403807d-07,
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-     |   9.0174235228740d-01,-1.6384214270452d-01,-1.0721844078348d+00,
-     |  -1.0721844078348d+00,-1.6384214270452d-01, 9.0174235228740d-01,
-     |   1.3941987289026d+00, 1.2081921145343d+00, 7.2436996059280d-01,
-     |   3.1604148242683d-01, 1.0104324026916d-01, 2.3307234162361d-02,
-     |   3.7483449352858d-03, 3.9754125320295d-04, 2.5519716957498d-05,
-     |   8.6746705403807d-07, 1.2546220170261d-08, 5.2326929417170d-11,
-     |   2.8509429985279d-14, 2.6118715962101d-19, 2.9875193647644d-30/
-      data (pmn(lat,24,25), lat = 1,36)/
-     |   2.6902515359283d-32, 7.0943003929006d-21, 1.3048496879100d-15,
-     |   3.4097281778120d-12, 1.0756330999629d-09, 9.3661320700442d-08,
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-     |  -7.2098818413384d-04,-6.3693436411121d-05,-3.3816038244260d-06,
-     |  -9.3661320700442d-08,-1.0756330999629d-09,-3.4097281778121d-12,
-     |  -1.3048496879100d-15,-7.0943003929006d-21,-2.6902515359283d-32/
-      data (pmn(lat,25,25), lat = 1,36)/
-     |   1.6611199587508d-34, 1.3208505281103d-22, 4.0910116980568d-17,
-     |   1.5203971924391d-13, 6.3009128182084d-11, 6.8952807079568d-09,
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-     |   8.3020255182500d-04, 5.1889360842667d-03, 2.3940970505054d-02,
-     |   8.4456884138491d-02, 2.3377367494262d-01, 5.1748706094331d-01,
-     |   9.2885898011802d-01, 1.3649794419929d+00, 1.6522403813728d+00,
-     |   1.6522403813728d+00, 1.3649794419929d+00, 9.2885898011802d-01,
-     |   5.1748706094331d-01, 2.3377367494262d-01, 8.4456884138491d-02,
-     |   2.3940970505054d-02, 5.1889360842667d-03, 8.3020255182500d-04,
-     |   9.3431991715797d-05, 6.9117839081339d-06, 3.0466674732771d-07,
-     |   6.8952807079568d-09, 6.3009128182084d-11, 1.5203971924392d-13,
-     |   4.0910116980570d-17, 1.3208505281103d-22, 1.6611199587508d-34/
-      data (pmn(lat, 0,26), lat = 1,36)/
-     |   3.5661206768497d+00,-1.9366690847744d+00, 4.4448207161471d-01,
-     |   7.7246087240028d-01,-1.2670208897490d+00, 9.4021982189853d-01,
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-     |  -3.2131940782412d-01, 7.5856510199437d-01,-7.0830726386753d-01,
-     |   1.9535301731751d-01, 4.5978488344046d-01,-8.3690673127200d-01,
-     |   6.7911696253802d-01,-6.1809791170952d-02,-6.3956910796421d-01,
-     |   9.7040630180058d-01,-6.7880538127430d-01,-1.1047467112627d-01,
-     |   9.4021982189853d-01,-1.2670208897490d+00, 7.7246087240027d-01,
-     |   4.4448207161473d-01,-1.9366690847744d+00, 3.5661206768497d+00/
-      data (pmn(lat, 1,26), lat = 1,36)/
-     |   2.5058331958626d+00, 7.7687874647617d-01,-1.6219544655078d+00,
-     |   1.2800401808726d+00,-2.9504925348198d-01,-6.6921759474287d-01,
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-      data (pmn(lat, 2,26), lat = 1,36)/
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-      data (pmn(lat, 3,26), lat = 1,36)/
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-      data (pmn(lat, 4,26), lat = 1,36)/
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-      data (pmn(lat, 5,26), lat = 1,36)/
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-      data (pmn(lat, 6,26), lat = 1,36)/
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-      data (pmn(lat, 7,26), lat = 1,36)/
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-      data (pmn(lat, 8,26), lat = 1,36)/
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-      data (pmn(lat, 9,26), lat = 1,36)/
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-      data (pmn(lat,10,26), lat = 1,36)/
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-      data (pmn(lat,11,26), lat = 1,36)/
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-      data (pmn(lat,12,26), lat = 1,36)/
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-      data (pmn(lat,13,26), lat = 1,36)/
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-      data (pmn(lat,14,26), lat = 1,36)/
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-      data (pmn(lat,15,26), lat = 1,36)/
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-      data (pmn(lat,16,26), lat = 1,36)/
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-      data (pmn(lat,17,26), lat = 1,36)/
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-     |   3.5706893438934d-05, 1.4961878742720d-03, 2.2614342454677d-02,
-     |   1.6091182293574d-01, 6.1030088294962d-01, 1.2609685919803d+00,
-     |   1.2092596142551d+00,-1.0853395992173d-01,-1.0753726876697d+00,
-     |  -4.6552543519827d-02, 9.7758512742059d-01,-1.3232565800852d-01,
-     |  -8.8835876803784d-01, 4.2684559616950d-01, 7.0674599263058d-01,
-     |  -7.0674599263058d-01,-4.2684559616950d-01, 8.8835876803783d-01,
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-     |   1.0753726876697d+00, 1.0853395992173d-01,-1.2092596142551d+00,
-     |  -1.2609685919803d+00,-6.1030088294962d-01,-1.6091182293574d-01,
-     |  -2.2614342454677d-02,-1.4961878742720d-03,-3.5706893438934d-05,
-     |  -1.7342467256008d-07,-3.7971438980621d-11,-3.3399401318560d-19/
-      data (pmn(lat,18,26), lat = 1,36)/
-     |   8.0648239682373d-21, 2.7760291378807d-12, 2.1534030606255d-08,
-     |   6.3942256180247d-06, 3.5943507630522d-04, 7.0417379070504d-03,
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-     |  -9.5967597561691d-01, 3.8348094078358d-01, 8.8976074664667d-01,
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-     |   6.1555644800709d-01,-7.7465583818472d-01,-4.5219390323076d-01,
-     |   8.8976074664667d-01, 3.8348094078358d-01,-9.5967597561692d-01,
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-     |   8.8749870838224d-01, 3.1573234568976d-01, 6.4225850580519d-02,
-     |   7.0417379070504d-03, 3.5943507630522d-04, 6.3942256180248d-06,
-     |   2.1534030606256d-08, 2.7760291378807d-12, 8.0648239682373d-21/
-      data (pmn(lat,19,26), lat = 1,36)/
-     |   1.7588594216097d-22, 1.8315678136533d-13, 2.4089730217199d-09,
-     |   1.0286852689810d-06, 7.7230543126733d-05, 1.9476554030544d-03,
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-     |   1.1249109757208d+00, 1.3346945053111d+00, 4.0844884406176d-01,
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-     |   7.4150948013951d-01,-6.4118308352717d-01,-6.9024825287678d-01,
-     |   6.9024825287678d-01, 6.4118308352717d-01,-7.4150948013951d-01,
-     |  -6.7107246758865d-01, 7.2391651676123d-01, 8.9905351088944d-01,
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-     |  -5.1515072170008d-01,-1.4062123361654d-01,-2.2516114853846d-02,
-     |  -1.9476554030544d-03,-7.7230543126733d-05,-1.0286852689810d-06,
-     |  -2.4089730217200d-09,-1.8315678136533d-13,-1.7588594216097d-22/
-      data (pmn(lat,20,26), lat = 1,36)/
-     |   3.4461264394598d-24, 1.0848964198260d-14, 2.4158846772386d-10,
-     |   1.4800570565900d-07, 1.4786701061329d-05, 4.7736693992462d-04,
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-     |   7.2741176353140d-01, 1.2821295549380d+00, 1.1803432583880d+00,
-     |   2.3623094929271d-02,-1.0404701189147d+00,-4.9272680550611d-01,
-     |   8.2625113005634d-01, 6.4033237399695d-01,-7.1468502300218d-01,
-     |  -7.1468502300218d-01, 6.4033237399695d-01, 8.2625113005634d-01,
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-     |   1.1803432583880d+00, 1.2821295549380d+00, 7.2741176353140d-01,
-     |   2.5211565703485d-01, 5.4241226173510d-02, 6.9349123558771d-03,
-     |   4.7736693992462d-04, 1.4786701061329d-05, 1.4800570565900d-07,
-     |   2.4158846772387d-10, 1.0848964198260d-14, 3.4461264394598d-24/
-      data (pmn(lat,21,26), lat = 1,36)/
-     |   6.0173757703531d-26, 5.7236487268900d-16, 2.1552668120130d-11,
-     |   1.8904937017854d-08, 2.5056858691004d-06, 1.0308596365410d-04,
-     |   1.8691306066391d-03, 1.8113885688412d-02, 1.0488919973517d-01,
-     |   3.8565193371330d-01, 9.1719169811835d-01, 1.3546898481111d+00,
-     |   9.8999449689486d-01,-2.5301568799068d-01,-1.0871415744257d+00,
-     |  -3.5603791364896d-01, 8.8595255422234d-01, 6.6325284011734d-01,
-     |  -6.6325284011734d-01,-8.8595255422234d-01, 3.5603791364895d-01,
-     |   1.0871415744257d+00, 2.5301568799068d-01,-9.8999449689486d-01,
-     |  -1.3546898481111d+00,-9.1719169811835d-01,-3.8565193371330d-01,
-     |  -1.0488919973517d-01,-1.8113885688413d-02,-1.8691306066391d-03,
-     |  -1.0308596365410d-04,-2.5056858691004d-06,-1.8904937017855d-08,
-     |  -2.1552668120131d-11,-5.7236487268900d-16,-6.0173757703531d-26/
-      data (pmn(lat,22,26), lat = 1,36)/
-     |   9.2519521175835d-28, 2.6575743703694d-17, 1.6903947283930d-12,
-     |   2.1192417966839d-09, 3.7167845537244d-07, 1.9413344165184d-05,
-     |   4.3692461010962d-04, 5.2031522513090d-03, 3.7041866951630d-02,
-     |   1.6956209121075d-01, 5.1823054646882d-01, 1.0602960580238d+00,
-     |   1.3715756382826d+00, 8.4371381710708d-01,-3.9518860912161d-01,
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-     |   8.5320846298607d-01,-3.7788819310104d-01,-1.1096257081325d+00,
-     |  -3.9518860912161d-01, 8.4371381710708d-01, 1.3715756382826d+00,
-     |   1.0602960580238d+00, 5.1823054646882d-01, 1.6956209121075d-01,
-     |   3.7041866951630d-02, 5.2031522513090d-03, 4.3692461010963d-04,
-     |   1.9413344165184d-05, 3.7167845537244d-07, 2.1192417966840d-09,
-     |   1.6903947283931d-12, 2.6575743703694d-17, 9.2519521175835d-28/
-      data (pmn(lat,23,26), lat = 1,36)/
-     |   1.2295691028290d-29, 1.0660971480116d-18, 1.1443769696729d-13,
-     |   2.0475220262810d-10, 4.7412343991194d-08, 3.1340966761570d-06,
-     |   8.7161467184143d-05, 1.2671150722720d-03, 1.0980292436099d-02,
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-     |   1.1484959233179d+00, 1.3783372313708d+00, 8.1138680701072d-01,
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-     |  -6.2389220782615d-01,-2.3483055863274d-01,-6.1571946995332d-02,
-     |  -1.0980292436099d-02,-1.2671150722720d-03,-8.7161467184145d-05,
-     |  -3.1340966761570d-06,-4.7412343991194d-08,-2.0475220262811d-10,
-     |  -1.1443769696730d-13,-1.0660971480116d-18,-1.2295691028290d-29/
-      data (pmn(lat,24,26), lat = 1,36)/
-     |   1.3698898004045d-31, 3.5838548984252d-20, 6.4869080449035d-15,
-     |   1.6542371071122d-11, 5.0478858946153d-09, 4.2116460059456d-07,
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-     |   1.8082481842063d-02, 8.4392785360412d-02, 2.8080632624454d-01,
-     |   6.7768573562093d-01, 1.1798866634917d+00, 1.4126033674211d+00,
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-     |  -1.0764539394473d+00,-1.3011473304986d-01, 9.5269900241923d-01,
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-     |   2.8080632624455d-01, 8.4392785360412d-02, 1.8082481842063d-02,
-     |   2.6639540615692d-03, 2.5453040296270d-04, 1.4418999979540d-05,
-     |   4.2116460059456d-07, 5.0478858946153d-09, 1.6542371071123d-11,
-     |   6.4869080449039d-15, 3.5838548984252d-20, 1.3698898004045d-31/
-      data (pmn(lat,25,26), lat = 1,36)/
-     |   1.2081625853284d-33, 9.5336713179701d-22, 2.9077038351311d-16,
-     |   1.0556367363495d-12, 4.2379590047805d-10, 4.4526525735925d-08,
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-     |   1.4636069719019d+00, 1.2970649209663d+00, 5.2467543189960d-01,
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-     |  -9.3647504829797d-02,-2.2996586901559d-02,-4.0832441148103d-03,
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-     |  -4.4526525735925d-08,-4.2379590047805d-10,-1.0556367363495d-12,
-     |  -2.9077038351313d-16,-9.5336713179701d-22,-1.2081625853284d-33/
-      data (pmn(lat,26,26), lat = 1,36)/
-     |   7.3150419495050d-36, 1.7405544177521d-23, 8.9393045826539d-18,
-     |   4.6156739848932d-14, 2.4343296800506d-11, 3.2143548105115d-09,
-     |   1.6526384127771d-07, 4.2478927438513d-06, 6.3725788221191d-05,
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-     |   7.5631069522410d-02, 2.1804554255917d-01, 4.9825912370130d-01,
-     |   9.1551941850107d-01, 1.3662524056925d+00, 1.6664640388041d+00,
-     |   1.6664640388041d+00, 1.3662524056925d+00, 9.1551941850107d-01,
-     |   4.9825912370130d-01, 2.1804554255917d-01, 7.5631069522409d-02,
-     |   2.0384835276744d-02, 4.1560545460558d-03, 6.1794697592535d-04,
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-     |   3.2143548105115d-09, 2.4343296800506d-11, 4.6156739848934d-14,
-     |   8.9393045826544d-18, 1.7405544177521d-23, 7.3150419495050d-36/
-      data (pmn(lat, 0,27), lat = 1,36)/
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-     |   3.6569949112502d-01,-1.0795854587822d+00, 1.1584773319855d+00,
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-     |  -7.9299043140854d-01, 2.0573610371856d+00,-3.5200605917745d+00/
-      data (pmn(lat, 1,27), lat = 1,36)/
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-     |   1.4307406649615d+00,-7.5261572912123d-01,-1.4841166966900d-01,
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-     |  -1.4581943133675d+00, 5.0321772436526d-01, 2.6130826204015d+00/
-      data (pmn(lat, 2,27), lat = 1,36)/
-     |   8.3444948055375d-01, 2.3384890556715d+00,-1.2731175243434d+00,
-     |  -3.5675448086857d-02, 9.4867566078803d-01,-1.1807779364553d+00,
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-     |  -7.4404899881991d-01, 3.4838548251432d-01, 2.3797403658444d-01,
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-     |   1.2731175243434d+00,-2.3384890556715d+00,-8.3444948055375d-01/
-      data (pmn(lat, 3,27), lat = 1,36)/
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-     |  -1.4510772326267d+00, 1.0891405865325d+00,-1.8249269350530d-01,
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-     |   6.2330818297260d-01, 2.0898341599752d+00, 1.7144984801446d-01/
-      data (pmn(lat, 4,27), lat = 1,36)/
-     |   2.5983762692247d-02, 1.1438855586831d+00, 1.8967018331100d+00,
-     |  -9.7653639837969d-01,-3.7409844410253d-01, 1.1084155137620d+00,
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-     |  -1.8967018331100d+00,-1.1438855586831d+00,-2.5983762692247d-02/
-      data (pmn(lat, 5,27), lat = 1,36)/
-     |   3.1139634934178d-03, 4.6098875848455d-01, 1.8961836243208d+00,
-     |   5.4563431089752d-01,-1.3613692793109d+00, 8.1136232714703d-01,
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-     |  -7.8978540051286d-01, 3.1421673075273d-01, 3.2292267850063d-01,
-     |  -7.5522176294113d-01, 7.4482059130552d-01,-3.0653529568132d-01,
-     |  -3.0653529568132d-01, 7.4482059130552d-01,-7.5522176294113d-01,
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-     |   8.1030842557396d-01,-3.2962312818282d-01,-4.0029502089594d-01,
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-      data (pmn(lat, 6,27), lat = 1,36)/
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-      data (pmn(lat, 7,27), lat = 1,36)/
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-      data (pmn(lat, 8,27), lat = 1,36)/
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-      data (pmn(lat, 9,27), lat = 1,36)/
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-      data (pmn(lat,10,27), lat = 1,36)/
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-      data (pmn(lat,11,27), lat = 1,36)/
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-      data (pmn(lat,12,27), lat = 1,36)/
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-      data (pmn(lat,13,27), lat = 1,36)/
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-      data (pmn(lat,14,27), lat = 1,36)/
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-      data (pmn(lat,15,27), lat = 1,36)/
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-      data (pmn(lat,16,27), lat = 1,36)/
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-      data (pmn(lat,17,27), lat = 1,36)/
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-      data (pmn(lat,18,27), lat = 1,36)/
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-      data (pmn(lat,19,27), lat = 1,36)/
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-      data (pmn(lat,20,27), lat = 1,36)/
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-      data (pmn(lat,21,27), lat = 1,36)/
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-      data (pmn(lat,22,27), lat = 1,36)/
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-      data (pmn(lat,23,27), lat = 1,36)/
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-      data (pmn(lat,24,27), lat = 1,36)/
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-      data (pmn(lat,25,27), lat = 1,36)/
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-      data (pmn(lat,26,27), lat = 1,36)/
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-      data (pmn(lat,27,27), lat = 1,36)/
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-      data (pmn(lat, 0,28), lat = 1,36)/
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-      data (pmn(lat, 1,28), lat = 1,36)/
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-      data (pmn(lat, 2,28), lat = 1,36)/
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-      data (pmn(lat, 3,28), lat = 1,36)/
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-      data (pmn(lat, 4,28), lat = 1,36)/
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-      data (pmn(lat, 5,28), lat = 1,36)/
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-      data (pmn(lat, 6,28), lat = 1,36)/
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-      data (pmn(lat, 7,28), lat = 1,36)/
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-      data (pmn(lat, 8,28), lat = 1,36)/
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-      data (pmn(lat, 9,28), lat = 1,36)/
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-      data (pmn(lat,10,28), lat = 1,36)/
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-      data (pmn(lat,11,28), lat = 1,36)/
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-      data (pmn(lat,12,28), lat = 1,36)/
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-     |   3.0588621045767d-03, 1.0561999035270d-05, 2.4885720286554d-11/
-      data (pmn(lat,13,28), lat = 1,36)/
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-      data (pmn(lat,14,28), lat = 1,36)/
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-     |   1.4412156872872d-04, 1.6623731773984d-07, 4.2018414992886d-14/
-      data (pmn(lat,15,28), lat = 1,36)/
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-     |  -2.6940396096105d-05,-1.8087668898553d-08,-1.5021171271995d-15/
-      data (pmn(lat,16,28), lat = 1,36)/
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-     |   6.0102592504869d-04, 1.6638050149196d-02, 1.6374197639054d-01,
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-     |   1.6374197639054d-01, 1.6638050149196d-02, 6.0102592504870d-04,
-     |   4.5778532782001d-06, 1.7953092429226d-09, 4.9063255658004d-17/
-      data (pmn(lat,17,28), lat = 1,36)/
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-     |   1.3528138186870d-04, 5.0956126194237d-03, 6.6556031562592d-02,
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-     |  -7.0828313237462d-07,-1.6271522974339d-10,-1.4652443079843d-18/
-      data (pmn(lat,18,28), lat = 1,36)/
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-     |   2.7623814781200d-05, 1.4061763296994d-03, 2.4093972739166d-02,
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-     |   9.9824668522846d-08, 1.3465946362644d-11, 4.0000055437232d-20/
-      data (pmn(lat,19,28), lat = 1,36)/
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-     |  -1.2806773635695d-08,-1.0164469454779d-12,-9.9690666283786d-22/
-      data (pmn(lat,20,28), lat = 1,36)/
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-     |   8.5866280870821d-07, 7.8610331279932d-05, 2.2607312712243d-03,
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-     |   1.4925669365091d-09, 6.9817045691693d-14, 2.2626781210010d-23/
-      data (pmn(lat,21,28), lat = 1,36)/
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-     |   1.3011351475804d-07, 1.5879666594706d-05, 5.8619459009020d-04,
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-     |  -1.5746174502490d-10,-4.3472644513884d-15,-4.6587188430576d-25/
-      data (pmn(lat,22,28), lat = 1,36)/
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-     |   1.7712595826882d-08, 2.8727867239670d-06, 1.3548628714699d-04,
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-     |   1.4954426127823d-11, 2.4398794442825d-16, 8.6509971362759d-27/
-      data (pmn(lat,23,28), lat = 1,36)/
-     |   1.4366787704629d-28, 1.2240213554056d-17, 1.2681180169341d-12,
-     |   2.1491524591421d-09, 4.6199148917038d-07, 2.7727879590138d-05,
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-     |  -1.2681180169342d-12,-1.2240213554056d-17,-1.4366787704629d-28/
-      data (pmn(lat,24,28), lat = 1,36)/
-     |   2.1075183577147d-30, 5.4216275641125d-19, 9.4854021649942d-14,
-     |   2.2966226625963d-10, 6.5284311506704d-08, 4.9698822174481d-06,
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-     |   9.4854021649947d-14, 5.4216275641125d-19, 2.1075183577147d-30/
-      data (pmn(lat,25,28), lat = 1,36)/
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-      data (pmn(lat,26,28), lat = 1,36)/
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-      data (pmn(lat,27,28), lat = 1,36)/
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-      data (pmn(lat,28,28), lat = 1,36)/
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-      data (pmn(lat, 0,29), lat = 1,36)/
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-      data (pmn(lat, 1,29), lat = 1,36)/
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-      data (pmn(lat, 2,29), lat = 1,36)/
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-      data (pmn(lat, 3,29), lat = 1,36)/
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-      data (pmn(lat, 4,29), lat = 1,36)/
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-      data (pmn(lat, 5,29), lat = 1,36)/
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-      data (pmn(lat, 6,29), lat = 1,36)/
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-      data (pmn(lat, 7,29), lat = 1,36)/
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-      data (pmn(lat, 8,29), lat = 1,36)/
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-      data (pmn(lat, 9,29), lat = 1,36)/
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-      data (pmn(lat,10,29), lat = 1,36)/
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-      data (pmn(lat,11,29), lat = 1,36)/
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-      data (pmn(lat,12,29), lat = 1,36)/
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-      data (pmn(lat,13,29), lat = 1,36)/
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-      data (pmn(lat,14,29), lat = 1,36)/
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-      data (pmn(lat,15,29), lat = 1,36)/
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-      data (pmn(lat,16,29), lat = 1,36)/
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-      data (pmn(lat,17,29), lat = 1,36)/
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-      data (pmn(lat,18,29), lat = 1,36)/
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-      data (pmn(lat,19,29), lat = 1,36)/
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-      data (pmn(lat,20,29), lat = 1,36)/
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-      data (pmn(lat,21,29), lat = 1,36)/
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-      data (pmn(lat,22,29), lat = 1,36)/
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-      data (pmn(lat,23,29), lat = 1,36)/
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-      data (pmn(lat,24,29), lat = 1,36)/
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-      data (pmn(lat,25,29), lat = 1,36)/
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-     |   2.2353466711855d-14, 7.7039869632174d-20, 1.0007097656906d-31/
-      data (pmn(lat,26,29), lat = 1,36)/
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-      data (pmn(lat,27,29), lat = 1,36)/
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-     |   7.5580832505983d-17, 9.1575111346270d-23, 1.3063031891795d-35/
-      data (pmn(lat,28,29), lat = 1,36)/
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-      data (pmn(lat,29,29), lat = 1,36)/
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-      data (pmn(lat, 0,30), lat = 1,36)/
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-     |   1.5547410877552d+00,-2.1991056100516d+00, 3.3354948416607d+00/
-      data (pmn(lat, 1,30), lat = 1,36)/
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-     |   6.0603003943760d-01, 3.4818511379454d-01,-2.9194112637227d+00/
-      data (pmn(lat, 2,30), lat = 1,36)/
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-     |  -1.7358868176720d+00, 2.0278391272351d+00, 1.0508486830970d+00/
-      data (pmn(lat, 3,30), lat = 1,36)/
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-     |   4.2302243032243d-01,-2.3758196477683d+00,-2.4144433278264d-01/
-      data (pmn(lat, 4,30), lat = 1,36)/
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-     |   1.3636841919902d+00, 1.5392133452812d+00, 4.0822855466066d-02/
-      data (pmn(lat, 5,30), lat = 1,36)/
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-     |  -6.4811996251669d-01,-5.0166380811202d-01, 1.0618509053991d+00,
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-     |  -2.0561553511474d+00,-7.1431196226923d-01,-5.4555150109847d-03/
-      data (pmn(lat, 6,30), lat = 1,36)/
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-     |   1.7203331888787d+00, 2.6083843343127d-01, 6.0158965152357d-04/
-      data (pmn(lat, 7,30), lat = 1,36)/
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-      data (pmn(lat, 8,30), lat = 1,36)/
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-      data (pmn(lat, 9,30), lat = 1,36)/
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-      data (pmn(lat,10,30), lat = 1,36)/
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-      data (pmn(lat,11,30), lat = 1,36)/
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-      data (pmn(lat,12,30), lat = 1,36)/
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-     |   1.6209592035900d-01, 9.4657439759519d-01, 1.5831097534304d+00,
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-     |   6.6945769722168d-03, 2.4911699740407d-05, 6.0806951188226d-11/
-      data (pmn(lat,13,30), lat = 1,36)/
-     |   2.8464026349778d-12, 3.5739934025424d-06, 1.6766301362513d-03,
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-     |  -2.2964426448235d-01,-3.8081953670106d-01, 7.8347870244569d-01,
-     |  -7.8347870244569d-01, 3.8081953670106d-01, 2.2964426448236d-01,
-     |  -7.3857744978484d-01, 8.5910609962817d-01,-4.7628821432424d-01,
-     |  -2.4885963306842d-01, 8.8479989318305d-01,-9.0450300242347d-01,
-     |   6.5443045570029d-02, 1.0679463827295d+00,-8.9669588668321d-01,
-     |  -1.4732353513322d+00,-5.3282974502085d-01,-6.1621934074901d-02,
-     |  -1.6766301362514d-03,-3.5739934025424d-06,-2.8464026349778d-12/
-      data (pmn(lat,14,30), lat = 1,36)/
-     |   1.2158874733994d-13, 4.6661593336840d-07, 3.7966481986989d-04,
-     |   2.0906631657743d-02, 2.6000300346662d-01, 1.0800184581290d+00,
-     |   1.4606896616781d+00,-2.6001417150218d-01,-9.8905205685361d-01,
-     |   8.6179725350102d-01, 4.5470579680011d-02,-7.8856505848222d-01,
-     |   8.7603306562358d-01,-3.7117790121425d-01,-3.3079247364307d-01,
-     |   7.9725105493202d-01,-7.8263650852873d-01, 3.2061661797290d-01,
-     |   3.2061661797290d-01,-7.8263650852873d-01, 7.9725105493201d-01,
-     |  -3.3079247364307d-01,-3.7117790121425d-01, 8.7603306562358d-01,
-     |  -7.8856505848221d-01, 4.5470579680011d-02, 8.6179725350102d-01,
-     |  -9.8905205685361d-01,-2.6001417150219d-01, 1.4606896616780d+00,
-     |   1.0800184581290d+00, 2.6000300346662d-01, 2.0906631657743d-02,
-     |   3.7966481986990d-04, 4.6661593336840d-07, 1.2158874733994d-13/
-      data (pmn(lat,15,30), lat = 1,36)/
-     |   4.7547493501196d-15, 5.5646326200407d-08, 7.8130477938266d-05,
-     |   6.3829175668142d-03, 1.1191532931847d-01, 6.6333371993233d-01,
-     |   1.4785922801196d+00, 7.3491714931199d-01,-1.0596079667146d+00,
-     |  -9.7880811046393d-02, 9.3824874224576d-01,-7.7787611029347d-01,
-     |  -9.5903528230232d-03, 7.1521695131250d-01,-8.6163698719616d-01,
-     |   4.1850146432168d-01, 2.8063578305423d-01,-7.8396037826954d-01,
-     |   7.8396037826954d-01,-2.8063578305423d-01,-4.1850146432169d-01,
-     |   8.6163698719616d-01,-7.1521695131249d-01, 9.5903528230319d-03,
-     |   7.7787611029348d-01,-9.3824874224576d-01, 9.7880811046389d-02,
-     |   1.0596079667146d+00,-7.3491714931199d-01,-1.4785922801196d+00,
-     |  -6.6333371993233d-01,-1.1191532931847d-01,-6.3829175668143d-03,
-     |  -7.8130477938269d-05,-5.5646326200407d-08,-4.7547493501196d-15/
-      data (pmn(lat,16,30), lat = 1,36)/
-     |   1.7060697027449d-16, 6.0779610651897d-09, 1.4665767105792d-05,
-     |   1.7640213669733d-03, 4.2980771130993d-02, 3.5205127014396d-01,
-     |   1.1585771778966d+00, 1.3594485719170d+00,-3.1033082396692d-01,
-     |  -9.8276726112620d-01, 7.7578495852035d-01, 2.3955400059307d-01,
-     |  -9.0057638928630d-01, 7.1750540278469d-01, 2.7634561069542d-02,
-     |  -7.0843649780409d-01, 8.4166509121419d-01,-3.6660403177929d-01,
-     |  -3.6660403177930d-01, 8.4166509121419d-01,-7.0843649780408d-01,
-     |   2.7634561069540d-02, 7.1750540278469d-01,-9.0057638928630d-01,
-     |   2.3955400059306d-01, 7.7578495852035d-01,-9.8276726112620d-01,
-     |  -3.1033082396692d-01, 1.3594485719170d+00, 1.1585771778966d+00,
-     |   3.5205127014396d-01, 4.2980771130993d-02, 1.7640213669734d-03,
-     |   1.4665767105793d-05, 6.0779610651897d-09, 1.7060697027449d-16/
-      data (pmn(lat,17,30), lat = 1,36)/
-     |   5.6253108004070d-18, 6.0912275501695d-10, 2.5174444794865d-06,
-     |   4.4312493116372d-04, 1.4841119503722d-02, 1.6438575541767d-01,
-     |   7.5456836783395d-01, 1.4575624081468d+00, 6.6258440514035d-01,
-     |  -1.0231822470343d+00,-2.1818577330908d-01, 9.8694932574858d-01,
-     |  -5.7501543900191d-01,-3.6164721344683d-01, 8.9320948554853d-01,
-     |  -6.2448349467027d-01,-1.4914774567370d-01, 7.8282927778438d-01,
-     |  -7.8282927778438d-01, 1.4914774567370d-01, 6.2448349467028d-01,
-     |  -8.9320948554853d-01, 3.6164721344683d-01, 5.7501543900190d-01,
-     |  -9.8694932574858d-01, 2.1818577330908d-01, 1.0231822470343d+00,
-     |  -6.6258440514035d-01,-1.4575624081468d+00,-7.5456836783395d-01,
-     |  -1.6438575541767d-01,-1.4841119503722d-02,-4.4312493116373d-04,
-     |  -2.5174444794866d-06,-6.0912275501695d-10,-5.6253108004070d-18/
-      data (pmn(lat,18,30), lat = 1,36)/
-     |   1.7056332928335d-19, 5.6065017043899d-11, 3.9577666891943d-07,
-     |   1.0144998604871d-04, 4.6311375125701d-03, 6.8292432619512d-02,
-     |   4.2239957514527d-01, 1.1894394956437d+00, 1.3028551109565d+00,
-     |  -2.6693539207527d-01,-1.0245131563503d+00, 6.0979940218633d-01,
-     |   5.1736548878123d-01,-9.4068363379507d-01, 3.5494324058413d-01,
-     |   5.3904532994502d-01,-8.9101685737051d-01, 4.2297993641437d-01,
-     |   4.2297993641438d-01,-8.9101685737051d-01, 5.3904532994502d-01,
-     |   3.5494324058413d-01,-9.4068363379507d-01, 5.1736548878123d-01,
-     |   6.0979940218634d-01,-1.0245131563503d+00,-2.6693539207528d-01,
-     |   1.3028551109565d+00, 1.1894394956437d+00, 4.2239957514527d-01,
-     |   6.8292432619512d-02, 4.6311375125701d-03, 1.0144998604871d-04,
-     |   3.9577666891944d-07, 5.6065017043899d-11, 1.7056332928335d-19/
-      data (pmn(lat,19,30), lat = 1,36)/
-     |   4.7553630902025d-21, 4.7399415001471d-12, 5.7019597384650d-08,
-     |   2.1198640420551d-05, 1.3101287294987d-03, 2.5421255048510d-02,
-     |   2.0702671170626d-01, 7.9979429653742d-01, 1.4282843044503d+00,
-     |   6.9090023647264d-01,-9.4234445038973d-01,-4.3996251222549d-01,
-     |   9.9219806425005d-01,-2.0591760631404d-01,-7.5399848294356d-01,
-     |   8.2073300549669d-01,-2.0506488319518d-02,-7.7902002915799d-01,
-     |   7.7902002915799d-01, 2.0506488319520d-02,-8.2073300549669d-01,
-     |   7.5399848294356d-01, 2.0591760631404d-01,-9.9219806425005d-01,
-     |   4.3996251222548d-01, 9.4234445038973d-01,-6.9090023647264d-01,
-     |  -1.4282843044503d+00,-7.9979429653743d-01,-2.0702671170626d-01,
-     |  -2.5421255048510d-02,-1.3101287294987d-03,-2.1198640420551d-05,
-     |  -5.7019597384653d-08,-4.7399415001471d-12,-4.7553630902025d-21/
-      data (pmn(lat,20,30), lat = 1,36)/
-     |   1.2180066609921d-22, 3.6781101059503d-13, 7.5251137259405d-09,
-     |   4.0440547967029d-06, 3.3652642484559d-04, 8.5143849841893d-03,
-     |   8.9804179639197d-02, 4.5904201149438d-01, 1.1784881547811d+00,
-     |   1.3018201782577d+00,-1.1232082058909d-01,-1.0846695982731d+00,
-     |   3.0196756707955d-01, 8.3443344846449d-01,-7.5220789784156d-01,
-     |  -2.6253424363828d-01, 9.1690894320985d-01,-4.9245966329573d-01,
-     |  -4.9245966329573d-01, 9.1690894320985d-01,-2.6253424363827d-01,
-     |  -7.5220789784156d-01, 8.3443344846449d-01, 3.0196756707955d-01,
-     |  -1.0846695982731d+00,-1.1232082058909d-01, 1.3018201782577d+00,
-     |   1.1784881547811d+00, 4.5904201149438d-01, 8.9804179639198d-02,
-     |   8.5143849841893d-03, 3.3652642484559d-04, 4.0440547967030d-06,
-     |   7.5251137259409d-09, 3.6781101059503d-13, 1.2180066609921d-22/
-      data (pmn(lat,21,30), lat = 1,36)/
-     |   2.8608057200144d-24, 2.6152131967454d-14, 9.0844993515548d-10,
-     |   7.0370699190978d-07, 7.8493117003080d-05, 2.5708504992454d-03,
-     |   3.4688041270016d-02, 2.2904520504239d-01, 7.9472996921364d-01,
-     |   1.3954142104129d+00, 8.2594500749224d-01,-7.6704851001000d-01,
-     |  -7.5194604443257d-01, 8.2603700299765d-01, 3.6292596620088d-01,
-     |  -9.5540101708535d-01, 2.3510656939191d-01, 7.7090955759768d-01,
-     |  -7.7090955759768d-01,-2.3510656939191d-01, 9.5540101708536d-01,
-     |  -3.6292596620088d-01,-8.2603700299765d-01, 7.5194604443257d-01,
-     |   7.6704851001001d-01,-8.2594500749224d-01,-1.3954142104129d+00,
-     |  -7.9472996921364d-01,-2.2904520504239d-01,-3.4688041270017d-02,
-     |  -2.5708504992454d-03,-7.8493117003080d-05,-7.0370699190980d-07,
-     |  -9.0844993515552d-10,-2.6152131967454d-14,-2.8608057200144d-24/
-      data (pmn(lat,22,30), lat = 1,36)/
-     |   6.1436327669978d-26, 1.6989903801335d-15, 1.0005982413443d-10,
-     |   1.1145168927533d-07, 1.6600675206353d-05, 6.9973326538263d-04,
-     |   1.1963378304099d-02, 1.0032066334648d-01, 4.5357855233585d-01,
-     |   1.1234780308235d+00, 1.3476855834114d+00, 1.8357844423420d-01,
-     |  -1.0751845357363d+00,-2.0679314699456d-01, 1.0073961563446d+00,
-     |  -1.3715188340617d-01,-8.9707594507306d-01, 5.7942909228525d-01,
-     |   5.7942909228525d-01,-8.9707594507306d-01,-1.3715188340618d-01,
-     |   1.0073961563446d+00,-2.0679314699455d-01,-1.0751845357363d+00,
-     |   1.8357844423419d-01, 1.3476855834114d+00, 1.1234780308235d+00,
-     |   4.5357855233585d-01, 1.0032066334648d-01, 1.1963378304099d-02,
-     |   6.9973326538263d-04, 1.6600675206353d-05, 1.1145168927533d-07,
-     |   1.0005982413443d-10, 1.6989903801335d-15, 6.1436327669978d-26/
-      data (pmn(lat,23,30), lat = 1,36)/
-     |   1.2011168125128d-27, 1.0042429206587d-16, 1.0014629756622d-11,
-     |   1.6006425666903d-08, 3.1735581198816d-06, 1.7132047363198d-04,
-     |   3.6834848817699d-03, 3.8733603155447d-02, 2.2276945341072d-01,
-     |   7.3378726540884d-01, 1.3419849016793d+00, 1.0557731905294d+00,
-     |  -4.0599594395718d-01,-1.0508730145758d+00, 2.9743034213853d-01,
-     |   9.3877824313256d-01,-4.9936882486026d-01,-7.5586403726946d-01,
-     |   7.5586403726946d-01, 4.9936882486027d-01,-9.3877824313256d-01,
-     |  -2.9743034213853d-01, 1.0508730145758d+00, 4.0599594395718d-01,
-     |  -1.0557731905294d+00,-1.3419849016793d+00,-7.3378726540884d-01,
-     |  -2.2276945341072d-01,-3.8733603155448d-02,-3.6834848817699d-03,
-     |  -1.7132047363198d-04,-3.1735581198816d-06,-1.6006425666903d-08,
-     |  -1.0014629756622d-11,-1.0042429206587d-16,-1.2011168125128d-27/
-      data (pmn(lat,24,30), lat = 1,36)/
-     |   2.1246964474457d-29, 5.3679780802122d-18, 9.0543124069695d-13,
-     |   2.0728337403228d-09, 5.4556214826675d-07, 3.7566401680421d-05,
-     |   1.0095021878101d-03, 1.3182000038326d-02, 9.4809897893584d-02,
-     |   4.0099378260575d-01, 1.0090180007971d+00, 1.3969373780641d+00,
-     |   6.3868170294118d-01,-8.1086502031903d-01,-8.4505272884363d-01,
-     |   6.3767134540574d-01, 7.9454597131806d-01,-6.9175504069966d-01,
-     |  -6.9175504069966d-01, 7.9454597131806d-01, 6.3767134540575d-01,
-     |  -8.4505272884363d-01,-8.1086502031903d-01, 6.3868170294119d-01,
-     |   1.3969373780641d+00, 1.0090180007971d+00, 4.0099378260575d-01,
-     |   9.4809897893584d-02, 1.3182000038326d-02, 1.0095021878101d-03,
-     |   3.7566401680421d-05, 5.4556214826675d-07, 2.0728337403229d-09,
-     |   9.0543124069700d-13, 5.3679780802122d-18, 2.1246964474457d-29/
-      data (pmn(lat,25,30), lat = 1,36)/
-     |   3.3710574029358d-31, 2.5724049912524d-19, 7.3318193176214d-14,
-     |   2.4004178917651d-10, 8.3670383610034d-08, 7.3236021534055d-06,
-     |   2.4472872191534d-04, 3.9376132448862d-03, 3.4970764959854d-02,
-     |   1.8555720296300d-01, 6.0953070752278d-01, 1.2215683792943d+00,
-     |   1.3130282418667d+00, 2.3722932434304d-01,-1.0223562549012d+00,
-     |  -6.3119656817830d-01, 8.1085044138197d-01, 7.2916543771327d-01,
-     |  -7.2916543771327d-01,-8.1085044138197d-01, 6.3119656817829d-01,
-     |   1.0223562549012d+00,-2.3722932434304d-01,-1.3130282418667d+00,
-     |  -1.2215683792943d+00,-6.0953070752278d-01,-1.8555720296300d-01,
-     |  -3.4970764959854d-02,-3.9376132448862d-03,-2.4472872191535d-04,
-     |  -7.3236021534055d-06,-8.3670383610034d-08,-2.4004178917652d-10,
-     |  -7.3318193176218d-14,-2.5724049912524d-19,-3.3710574029358d-31/
-      data (pmn(lat,26,30), lat = 1,36)/
-     |   4.7369866907481d-33, 1.0913306579666d-20, 5.2515101609438d-15,
-     |   2.4554160880044d-11, 1.1311652864974d-08, 1.2548625081674d-06,
-     |   5.1923080401717d-05, 1.0229335341242d-03, 1.1108892680849d-02,
-     |   7.2740338724143d-02, 3.0213860405920d-01, 8.0884804975929d-01,
-     |   1.3490385543519d+00, 1.1739101994339d+00,-4.5791555833490d-02,
-     |  -1.1103984994627d+00,-5.4359714645623d-01, 8.4611170857131d-01,
-     |   8.4611170857131d-01,-5.4359714645623d-01,-1.1103984994627d+00,
-     |  -4.5791555833492d-02, 1.1739101994339d+00, 1.3490385543519d+00,
-     |   8.0884804975929d-01, 3.0213860405920d-01, 7.2740338724143d-02,
-     |   1.1108892680849d-02, 1.0229335341242d-03, 5.1923080401717d-05,
-     |   1.2548625081674d-06, 1.1311652864974d-08, 2.4554160880045d-11,
-     |   5.2515101609441d-15, 1.0913306579666d-20, 4.7369866907481d-33/
-      data (pmn(lat,27,30), lat = 1,36)/
-     |   5.7838441355305d-35, 4.0215431510543d-22, 3.2647147161717d-16,
-     |   2.1773163022052d-12, 1.3233053147328d-09, 1.8558393458455d-07,
-     |   9.4741523112954d-06, 2.2735602239538d-04, 2.9957667712619d-03,
-     |   2.3911424485014d-02, 1.2293209325205d-01, 4.2083633611613d-01,
-     |   9.6337319445416d-01, 1.4116448286825d+00, 1.0832366734889d+00,
-     |  -1.4827286266640d-01,-1.1450284856517d+00,-6.8082855043546d-01,
-     |   6.8082855043546d-01, 1.1450284856517d+00, 1.4827286266640d-01,
-     |  -1.0832366734889d+00,-1.4116448286825d+00,-9.6337319445416d-01,
-     |  -4.2083633611613d-01,-1.2293209325205d-01,-2.3911424485014d-02,
-     |  -2.9957667712619d-03,-2.2735602239538d-04,-9.4741523112955d-06,
-     |  -1.8558393458455d-07,-1.3233053147328d-09,-2.1773163022053d-12,
-     |  -3.2647147161719d-16,-4.0215431510543d-22,-5.7838441355305d-35/
-      data (pmn(lat,28,30), lat = 1,36)/
-     |   5.9487589038120d-37, 1.2479065662599d-23, 1.7079056921090d-17,
-     |   1.6229476212996d-13, 1.2992555758937d-10, 2.2983743848121d-08,
-     |   1.4431497072565d-06, 4.2001190882219d-05, 6.6727101553007d-04,
-     |   6.4307402558218d-03, 4.0298916601818d-02, 1.7164759321154d-01,
-     |   5.0875831026868d-01, 1.0499169766270d+00, 1.4506032259331d+00,
-     |   1.1365102125045d+00, 5.1444892153780d-03,-1.0902351939923d+00,
-     |  -1.0902351939923d+00, 5.1444892153767d-03, 1.1365102125045d+00,
-     |   1.4506032259331d+00, 1.0499169766270d+00, 5.0875831026868d-01,
-     |   1.7164759321154d-01, 4.0298916601818d-02, 6.4307402558218d-03,
-     |   6.6727101553008d-04, 4.2001190882220d-05, 1.4431497072566d-06,
-     |   2.2983743848121d-08, 1.2992555758937d-10, 1.6229476212997d-13,
-     |   1.7079056921091d-17, 1.2479065662599d-23, 5.9487589038120d-37/
-      data (pmn(lat,29,30), lat = 1,36)/
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-     |   9.6003009102012d-15, 1.0109240475846d-11, 2.2513568753099d-09,
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-      data (pmn(lat, 4,31), lat = 1,36)/
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-      data (pmn(lat, 8,31), lat = 1,36)/
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-      data (pmn(lat,10,31), lat = 1,36)/
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-      data (pmn(lat,13,31), lat = 1,36)/
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-     |   2.5196856466850d-03, 5.5699692488569d-06, 4.5130949001510d-12/
-      data (pmn(lat,14,31), lat = 1,36)/
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-     |  -5.9619853177845d-04,-7.5775768735607d-07,-2.0064327951259d-13/
-      data (pmn(lat,15,31), lat = 1,36)/
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-     |   9.9677395212023d-03, 1.6198308711491d-01, 8.5392029430862d-01,
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-     |   1.2831617882924d-04, 9.4286270388707d-08, 8.1780482159894d-15/
-      data (pmn(lat,16,31), lat = 1,36)/
-     |   3.0637302038263d-16, 1.0762086540552d-08, 2.5222021901706d-05,
-     |   2.8956142218811d-03, 6.5856793706678d-02, 4.8722698817375d-01,
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-     |   7.9661793044926d-01,-3.4280744957705d-01,-3.2275247113477d-01,
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-     |  -2.5222021901706d-05,-1.0762086540552d-08,-3.0637302038263d-16/
-      data (pmn(lat,17,31), lat = 1,36)/
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-     |   7.6538233984410d-04, 2.4065878376170d-02, 2.4350066140831d-01,
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-     |  -3.4957214776288d-01, 8.2846904768586d-01,-7.6971374119371d-01,
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-     |   4.9421813241533d-01, 5.4603107952090d-01,-1.1080330479848d+00,
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-     |   2.4350066140831d-01, 2.4065878376170d-02, 7.6538233984411d-04,
-     |   4.5410229001051d-06, 1.1292443620491d-09, 1.0568068611894d-17/
-      data (pmn(lat,18,31), lat = 1,36)/
-     |   3.3600221443257d-19, 1.0906703100431d-10, 7.5031588221417d-07,
-     |   1.8467474203071d-04, 7.9522654275504d-03, 1.0805685987754d-01,
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-     |  -7.9630762112308d-01, 2.0961331538418d-01, 5.5216806914769d-01,
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-     |  -9.5306114751046d-01,-1.3864433675141d+00,-5.9427582912441d-01,
-     |  -1.0805685987754d-01,-7.9522654275504d-03,-1.8467474203071d-04,
-     |  -7.5031588221420d-07,-1.0906703100431d-10,-3.3600221443257d-19/
-      data (pmn(lat,19,31), lat = 1,36)/
-     |   9.8501310759092d-21, 9.7018657605835d-12, 1.1389488275350d-07,
-     |   4.0756654036207d-05, 2.3855924596582d-03, 4.2950937243967d-02,
-     |   3.1525696387643d-01, 1.0443682271277d+00, 1.4097907891471d+00,
-     |   3.4390287883282d-02,-1.1033224769521d+00, 3.9971873878290d-01,
-     |   6.8977852082070d-01,-9.1356625539064d-01, 2.2768086003737d-01,
-     |   6.1789047870279d-01,-8.9006882430410d-01, 4.0821518456530d-01,
-     |   4.0821518456530d-01,-8.9006882430410d-01, 6.1789047870279d-01,
-     |   2.2768086003737d-01,-9.1356625539064d-01, 6.8977852082071d-01,
-     |   3.9971873878291d-01,-1.1033224769521d+00, 3.4390287883281d-02,
-     |   1.4097907891471d+00, 1.0443682271277d+00, 3.1525696387643d-01,
-     |   4.2950937243967d-02, 2.3855924596582d-03, 4.0756654036208d-05,
-     |   1.1389488275351d-07, 9.7018657605835d-12, 9.8501310759092d-21/
-      data (pmn(lat,20,31), lat = 1,36)/
-     |   2.6615397783441d-22, 7.9466392004024d-13, 1.5885872847415d-08,
-     |   8.2347285435763d-06, 6.5123824839793d-04, 1.5376077921264d-02,
-     |   1.4767765848772d-01, 6.6181034000034d-01, 1.3810482408728d+00,
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-     |   9.5139830716210d-01,-4.0719756909739d-02,-8.3035146589306d-01,
-     |   7.7946639234048d-01, 3.6027864507547d-02,-7.9328003377446d-01,
-     |   7.9328003377446d-01,-3.6027864507545d-02,-7.7946639234049d-01,
-     |   8.3035146589306d-01, 4.0719756909740d-02,-9.5139830716210d-01,
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-     |  -1.3810482408728d+00,-6.6181034000034d-01,-1.4767765848773d-01,
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-     |  -1.5885872847416d-08,-7.9466392004024d-13,-2.6615397783441d-22/
-      data (pmn(lat,21,31), lat = 1,36)/
-     |   6.6208295071031d-24, 5.9873496960270d-14, 2.0344881175563d-09,
-     |   1.5230037821310d-06, 1.6193117054600d-04, 4.9731031746514d-03,
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-     |  -4.8017434813383d-01, 9.2859712089274d-01,-3.5011883737790d-01,
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-     |   1.0624324878786d+00, 3.6222985077341d-01, 6.1600641081192d-02,
-     |   4.9731031746514d-03, 1.6193117054600d-04, 1.5230037821310d-06,
-     |   2.0344881175564d-09, 5.9873496960270d-14, 6.6208295071031d-24/
-      data (pmn(lat,22,31), lat = 1,36)/
-     |   1.5131768391460d-25, 4.1415844712234d-15, 2.3883786282729d-10,
-     |   2.5752517645915d-07, 3.6659993034444d-05, 1.4548811433148d-03,
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-     |  -2.3883786282730d-10,-4.1415844712234d-15,-1.5131768391460d-25/
-      data (pmn(lat,23,31), lat = 1,36)/
-     |   3.1674382639103d-27, 2.6221819615294d-16, 2.5628795491546d-11,
-     |   3.9713593310890d-08, 7.5429224884927d-06, 3.8474211179093d-04,
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-     |  -5.5333202473605d-02,-9.2095190407243d-01, 5.6992162915500d-01,
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-     |   3.7777395246210d-01, 1.3960262230458d+00, 1.0278666142927d+00,
-     |   3.7276434903079d-01, 7.3507187785443d-02, 7.6868587194909d-03,
-     |   3.8474211179093d-04, 7.5429224884927d-06, 3.9713593310891d-08,
-     |   2.5628795491548d-11, 2.6221819615294d-16, 3.1674382639103d-27/
-      data (pmn(lat,24,31), lat = 1,36)/
-     |   6.0453527414019d-29, 1.5129029275913d-17, 2.5031791305728d-12,
-     |   5.5635542112785d-09, 1.4056848095768d-06, 9.1740129619134d-05,
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-     |   7.7135530245854d-01, 4.6095232113457d-01,-9.7296167559083d-01,
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-     |  -9.1740129619134d-05,-1.4056848095768d-06,-5.5635542112787d-09,
-     |  -2.5031791305729d-12,-1.5129029275913d-17,-6.0453527414019d-29/
-      data (pmn(lat,25,31), lat = 1,36)/
-     |   1.0454342409141d-30, 7.9050795452552d-19, 2.2118285734638d-13,
-     |   7.0392179939103d-10, 2.3598390684430d-07, 1.9631130065668d-05,
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-     |  -6.8545546145644d-01, 8.2858494554722d-01, 5.8155990894627d-01,
-     |  -9.1396678984121d-01,-7.2429623729818d-01, 7.7224802708126d-01,
-     |   1.4049188541318d+00, 9.2966125162755d-01, 3.3945763283257d-01,
-     |   7.3087151447643d-02, 9.1212125984966d-03, 6.1494105325515d-04,
-     |   1.9631130065668d-05, 2.3598390684430d-07, 7.0392179939105d-10,
-     |   2.2118285734639d-13, 7.9050795452552d-19, 1.0454342409141d-30/
-      data (pmn(lat,26,31), lat = 1,36)/
-     |   1.6236225052805d-32, 3.7078675043582d-20, 1.7528106623940d-14,
-     |   7.9757920325403d-11, 3.5398774871013d-08, 3.7413992683882d-06,
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-     |  -6.9307598769642d-01, 7.8843148261348d-01, 7.4490315040219d-01,
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-     |  -3.7413992683882d-06,-3.5398774871013d-08,-7.9757920325405d-11,
-     |  -1.7528106623941d-14,-3.7078675043582d-20,-1.6236225052805d-32/
-      data (pmn(lat,27,31), lat = 1,36)/
-     |   2.2358776461601d-34, 1.5415121941107d-21, 1.2301811533403d-15,
-     |   7.9928715140819d-12, 4.6873693993122d-09, 6.2768787015028d-07,
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-     |   1.3242605972220d+00, 1.2368186549051d+00, 4.2935293518447d-02,
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-     |   8.4368857868752d-01,-5.8285572179786d-01,-1.1007321458627d+00,
-     |   4.2935293518446d-02, 1.2368186549051d+00, 1.3242605972220d+00,
-     |   7.4761246489448d-01, 2.6146395674450d-01, 5.8341321935322d-02,
-     |   8.1505318583628d-03, 6.7550811280388d-04, 3.0238944080639d-05,
-     |   6.2768787015028d-07, 4.6873693993122d-09, 7.9928715140822d-12,
-     |   1.2301811533404d-15, 1.5415121941107d-21, 2.2358776461601d-34/
-      data (pmn(lat,28,31), lat = 1,36)/
-     |   2.6782739974655d-36, 5.5726485269683d-23, 7.5020309737785d-17,
-     |   6.9518571106003d-13, 5.3776923381882d-10, 9.1017282355053d-08,
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-     |   6.9625593665919d-01, 1.1437201648453d+00, 8.9489844582508d-02,
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-     |  -3.7876611464537d-01,-1.0389284413512d-01,-1.8759145324621d-02,
-     |  -2.1520555100111d-03,-1.4709516660731d-04,-5.4081276755375d-06,
-     |  -9.1017282355053d-08,-5.3776923381882d-10,-6.9518571106005d-13,
-     |  -7.5020309737790d-17,-5.5726485269683d-23,-2.6782739974655d-36/
-      data (pmn(lat,29,31), lat = 1,36)/
-     |   2.7051129280101d-38, 1.6980992127456d-24, 3.8538242809235d-18,
-     |   5.0880357885477d-14, 5.1838949624838d-11, 1.1065557955698d-08,
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-     |   4.7152199015758d-01, 1.0149941924433d+00, 1.4523591622075d+00,
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-      data (pmn(lat,14,32), lat = 1,36)/
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-      data (pmn(lat,15,32), lat = 1,36)/
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-      data (pmn(lat,16,32), lat = 1,36)/
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-      data (pmn(lat,17,32), lat = 1,36)/
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-      data (pmn(lat,18,32), lat = 1,36)/
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-     |   1.3820257370239d-06, 2.0633282143687d-10, 6.4395043991656d-19/
-      data (pmn(lat,19,32), lat = 1,36)/
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-      data (pmn(lat,20,32), lat = 1,36)/
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-     |   3.2365435080416d-08, 1.6583020570992d-12, 5.6195283255764d-22/
-      data (pmn(lat,21,32), lat = 1,36)/
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-      data (pmn(lat,22,32), lat = 1,36)/
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-     |   5.4504144720311d-10, 9.6591295366920d-15, 3.5669527000106d-25/
-      data (pmn(lat,23,32), lat = 1,36)/
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-      data (pmn(lat,24,32), lat = 1,36)/
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-     |   6.5221467505768d-12, 4.0212171316855d-17, 1.6226601575767d-28/
-      data (pmn(lat,25,32), lat = 1,36)/
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-      data (pmn(lat,26,32), lat = 1,36)/
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-      data (pmn(lat,27,32), lat = 1,36)/
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-      data (pmn(lat,28,32), lat = 1,36)/
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-      data (pmn(lat,29,32), lat = 1,36)/
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-      data (pmn(lat,30,32), lat = 1,36)/
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-      data (pmn(lat,31,32), lat = 1,36)/
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-      data (pmn(lat,32,32), lat = 1,36)/
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-      data (pmn(lat, 1,33), lat = 1,36)/
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-      data (pmn(lat, 2,33), lat = 1,36)/
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-      data (pmn(lat, 4,33), lat = 1,36)/
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-      data (pmn(lat, 5,33), lat = 1,36)/
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-      data (pmn(lat, 6,33), lat = 1,36)/
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-      data (pmn(lat, 7,33), lat = 1,36)/
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-      data (pmn(lat, 8,33), lat = 1,36)/
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-      data (pmn(lat, 9,33), lat = 1,36)/
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-      data (pmn(lat,10,33), lat = 1,36)/
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-      data (pmn(lat,11,33), lat = 1,36)/
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-      data (pmn(lat,12,33), lat = 1,36)/
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-      data (pmn(lat,13,33), lat = 1,36)/
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-      data (pmn(lat,14,33), lat = 1,36)/
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-      data (pmn(lat,15,33), lat = 1,36)/
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-      data (pmn(lat,16,33), lat = 1,36)/
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-      data (pmn(lat,17,33), lat = 1,36)/
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-      data (pmn(lat,18,33), lat = 1,36)/
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-      data (pmn(lat,19,33), lat = 1,36)/
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-      data (pmn(lat,20,33), lat = 1,36)/
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-      data (pmn(lat,21,33), lat = 1,36)/
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-      data (pmn(lat,22,33), lat = 1,36)/
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-      data (pmn(lat,23,33), lat = 1,36)/
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-      data (pmn(lat,24,33), lat = 1,36)/
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-      data (pmn(lat,25,33), lat = 1,36)/
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-      data (pmn(lat,26,33), lat = 1,36)/
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-      data (pmn(lat,27,33), lat = 1,36)/
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-      data (pmn(lat,28,33), lat = 1,36)/
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-      data (pmn(lat,29,33), lat = 1,36)/
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-      data (pmn(lat,30,33), lat = 1,36)/
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-      data (pmn(lat,32,33), lat = 1,36)/
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-      data (pmn(lat,33,33), lat = 1,36)/
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-      data (pmn(lat, 0,34), lat = 1,36)/
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-      data (pmn(lat, 1,34), lat = 1,36)/
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-      data (pmn(lat, 2,34), lat = 1,36)/
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-      data (pmn(lat, 4,34), lat = 1,36)/
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-      data (pmn(lat, 5,34), lat = 1,36)/
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-      data (pmn(lat, 6,34), lat = 1,36)/
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-      data (pmn(lat, 7,34), lat = 1,36)/
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-      data (pmn(lat, 8,34), lat = 1,36)/
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-      data (pmn(lat, 9,34), lat = 1,36)/
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-      data (pmn(lat,11,34), lat = 1,36)/
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-      data (pmn(lat,12,34), lat = 1,36)/
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-      data (pmn(lat,13,34), lat = 1,36)/
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-      data (pmn(lat,14,34), lat = 1,36)/
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-      data (pmn(lat,15,34), lat = 1,36)/
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-      data (pmn(lat,16,34), lat = 1,36)/
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-      data (pmn(lat,17,34), lat = 1,36)/
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-      data (pmn(lat,18,34), lat = 1,36)/
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-      data (pmn(lat,19,34), lat = 1,36)/
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-      data (pmn(lat,20,34), lat = 1,36)/
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-      data (pmn(lat,21,34), lat = 1,36)/
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-      data (pmn(lat,22,34), lat = 1,36)/
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-      data (pmn(lat,23,34), lat = 1,36)/
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-      data (pmn(lat,24,34), lat = 1,36)/
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-      data (pmn(lat,25,34), lat = 1,36)/
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-      data (pmn(lat,26,34), lat = 1,36)/
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-     |   4.1505803782766d-13, 9.2942453104264d-19, 4.1857051267944d-31/
-      data (pmn(lat,27,34), lat = 1,36)/
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-      data (pmn(lat,28,34), lat = 1,36)/
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-      data (pmn(lat,29,34), lat = 1,36)/
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-      data (pmn(lat,30,34), lat = 1,36)/
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-     |   1.5570810944111d-17, 4.2778720449804d-24, 2.3152876701640d-38/
-      data (pmn(lat,31,34), lat = 1,36)/
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-      data (pmn(lat,32,34), lat = 1,36)/
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-      data (pmn(lat,33,34), lat = 1,36)/
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-      data (pmn(lat,34,34), lat = 1,36)/
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-      data (pmn(lat, 0,35), lat = 1,36)/
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-      data (pmn(lat, 2,35), lat = 1,36)/
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-      data (pmn(lat, 4,35), lat = 1,36)/
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-      data (pmn(lat, 6,35), lat = 1,36)/
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-      data (pmn(lat, 8,35), lat = 1,36)/
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-      data (pmn(lat,10,35), lat = 1,36)/
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-     |  -4.1534123973044d-01, 7.6090162161902d-01,-1.1063475048267d+00,
-     |   1.2825079356061d+00,-7.6886579172509d-01,-1.5722280961230d+00,
-     |  -2.6586779427913d-01,-4.0437588002634d-03,-1.0562539320448d-07/
-      data (pmn(lat,12,35), lat = 1,36)/
-     |   4.3759643795004d-10, 1.6230777930422d-04, 3.5202422467508d-02,
-     |   5.8598085507639d-01, 1.7168820455613d+00,-2.9074043626643d-03,
-     |  -9.2762998432707d-01, 1.1168364176754d+00,-9.5050575563922d-01,
-     |   6.5486425681959d-01,-3.3679626663384d-01, 4.2168910419249d-02,
-     |   2.1156571226100d-01,-4.1953714238486d-01, 5.8204841422574d-01,
-     |  -7.0115410549173d-01, 7.7909706171776d-01,-8.1760848500901d-01,
-     |   8.1760848500901d-01,-7.7909706171776d-01, 7.0115410549173d-01,
-     |  -5.8204841422574d-01, 4.1953714238486d-01,-2.1156571226101d-01,
-     |  -4.2168910419263d-02, 3.3679626663384d-01,-6.5486425681960d-01,
-     |   9.5050575563922d-01,-1.1168364176754d+00, 9.2762998432706d-01,
-     |   2.9074043626643d-03,-1.7168820455613d+00,-5.8598085507640d-01,
-     |  -3.5202422467509d-02,-1.6230777930422d-04,-4.3759643795004d-10/
-      data (pmn(lat,14,35), lat = 1,36)/
-     |   1.2565834123276d-12, 4.4269673905742d-06, 3.0069335253402d-03,
-     |   1.2260000735789d-01, 9.3964676831728d-01, 1.5827728493548d+00,
-     |  -6.0010703293976d-01,-4.7117405262860d-01, 9.6343632807134d-01,
-     |  -1.0048016678170d+00, 7.9788737878072d-01,-4.8535148483945d-01,
-     |   1.5140870548782d-01, 1.5794530433883d-01,-4.1891711527891d-01,
-     |   6.1987443047695d-01,-7.5553081399456d-01, 8.2372137109029d-01,
-     |  -8.2372137109029d-01, 7.5553081399456d-01,-6.1987443047694d-01,
-     |   4.1891711527891d-01,-1.5794530433882d-01,-1.5140870548781d-01,
-     |   4.8535148483947d-01,-7.9788737878072d-01, 1.0048016678170d+00,
-     |  -9.6343632807134d-01, 4.7117405262859d-01, 6.0010703293977d-01,
-     |  -1.5827728493548d+00,-9.3964676831728d-01,-1.2260000735789d-01,
-     |  -3.0069335253403d-03,-4.4269673905742d-06,-1.2565834123276d-12/
-      data (pmn(lat,16,35), lat = 1,36)/
-     |   2.5920099514878d-15, 8.5660120847561d-08, 1.7676070713865d-04,
-     |   1.6508580504062d-02, 2.7428448999770d-01, 1.2360855175944d+00,
-     |   1.2582772361764d+00,-9.6360504988478d-01,-4.8020441982203d-02,
-     |   7.4581953755741d-01,-9.7755563845194d-01, 8.6460737218000d-01,
-     |  -5.5962654253681d-01, 1.8219910083202d-01, 1.8677462218731d-01,
-     |  -4.9640259386594d-01, 7.1638230790214d-01,-8.3003970603311d-01,
-     |   8.3003970603311d-01,-7.1638230790214d-01, 4.9640259386593d-01,
-     |  -1.8677462218731d-01,-1.8219910083202d-01, 5.5962654253681d-01,
-     |  -8.6460737218001d-01, 9.7755563845194d-01,-7.4581953755741d-01,
-     |   4.8020441982197d-02, 9.6360504988479d-01,-1.2582772361764d+00,
-     |  -1.2360855175944d+00,-2.7428448999770d-01,-1.6508580504063d-02,
-     |  -1.7676070713865d-04,-8.5660120847561d-08,-2.5920099514878d-15/
-      data (pmn(lat,18,35), lat = 1,36)/
-     |   3.9300423106413d-18, 1.2081444705920d-09, 7.4276326794429d-06,
-     |   1.5287793718458d-03, 5.0648613143263d-02, 4.6990116733130d-01,
-     |   1.4206253038594d+00, 8.6315566626943d-01,-1.1219630850649d+00,
-     |   2.6864804365584d-01, 5.4985704262252d-01,-9.2977434519617d-01,
-     |   8.8299510913950d-01,-5.5814313290157d-01, 1.1443076072776d-01,
-     |   3.2003503502049d-01,-6.5537318838436d-01, 8.3613218456573d-01,
-     |  -8.3613218456573d-01, 6.5537318838435d-01,-3.2003503502048d-01,
-     |  -1.1443076072777d-01, 5.5814313290157d-01,-8.8299510913950d-01,
-     |   9.2977434519617d-01,-5.4985704262252d-01,-2.6864804365585d-01,
-     |   1.1219630850649d+00,-8.6315566626942d-01,-1.4206253038594d+00,
-     |  -4.6990116733130d-01,-5.0648613143263d-02,-1.5287793718458d-03,
-     |  -7.4276326794432d-06,-1.2081444705920d-09,-3.9300423106413d-18/
-      data (pmn(lat,20,35), lat = 1,36)/
-     |   4.4391216139500d-21, 1.2618966881652d-11, 2.2808269335263d-07,
-     |   1.0092892619083d-04, 6.3636498318205d-03, 1.0959263710430d-01,
-     |   6.7226773607405d-01, 1.4890258586915d+00, 5.0112803865097d-01,
-     |  -1.1501363560535d+00, 4.5901298987392d-01, 4.3447779909300d-01,
-     |  -9.0954428404327d-01, 8.6647384205290d-01,-4.6079103088543d-01,
-     |  -8.3306875941936d-02, 5.6469904847993d-01,-8.4140286004534d-01,
-     |   8.4140286004534d-01,-5.6469904847992d-01, 8.3306875941926d-02,
-     |   4.6079103088543d-01,-8.6647384205290d-01, 9.0954428404328d-01,
-     |  -4.3447779909299d-01,-4.5901298987392d-01, 1.1501363560535d+00,
-     |  -5.0112803865097d-01,-1.4890258586915d+00,-6.7226773607405d-01,
-     |  -1.0959263710430d-01,-6.3636498318205d-03,-1.0092892619083d-04,
-     |  -2.2808269335264d-07,-1.2618966881652d-11,-4.4391216139500d-21/
-      data (pmn(lat,22,35), lat = 1,36)/
-     |   3.7548188928949d-24, 9.8273022175265d-14, 5.1724191271972d-09,
-     |   4.8382377271027d-06, 5.6373012308591d-04, 1.7054423155783d-02,
-     |   1.8678994345913d-01, 8.4536197477193d-01, 1.4765135218454d+00,
-     |   2.3875371835020d-01,-1.1288370656304d+00, 5.2806612959959d-01,
-     |   4.3654244614152d-01,-9.3605691064828d-01, 7.8732726306576d-01,
-     |  -2.1227959151391d-01,-4.3493439453252d-01, 8.4501163600842d-01,
-     |  -8.4501163600842d-01, 4.3493439453251d-01, 2.1227959151392d-01,
-     |  -7.8732726306576d-01, 9.3605691064827d-01,-4.3654244614153d-01,
-     |  -5.2806612959960d-01, 1.1288370656304d+00,-2.3875371835019d-01,
-     |  -1.4765135218454d+00,-8.4536197477193d-01,-1.8678994345913d-01,
-     |  -1.7054423155783d-02,-5.6373012308591d-04,-4.8382377271029d-06,
-     |  -5.1724191271974d-09,-9.8273022175265d-14,-3.7548188928949d-24/
-      data (pmn(lat,24,35), lat = 1,36)/
-     |   2.3712206180608d-27, 5.6952305810998d-16, 8.6672764287274d-11,
-     |   1.6929839258026d-07, 3.5730343230382d-05, 1.8354585450379d-03,
-     |   3.3660943067629d-02, 2.6622115042171d-01, 9.6627192511243d-01,
-     |   1.4349083026698d+00, 1.1072287137998d-01,-1.1161561077024d+00,
-     |   4.7128445422140d-01, 5.7740045241479d-01,-9.7196547011856d-01,
-     |   5.4633892179401d-01, 2.5518362037209d-01,-8.4573803364704d-01,
-     |   8.4573803364704d-01,-2.5518362037209d-01,-5.4633892179402d-01,
-     |   9.7196547011856d-01,-5.7740045241478d-01,-4.7128445422139d-01,
-     |   1.1161561077024d+00,-1.1072287137998d-01,-1.4349083026698d+00,
-     |  -9.6627192511244d-01,-2.6622115042171d-01,-3.3660943067629d-02,
-     |  -1.8354585450379d-03,-3.5730343230382d-05,-1.6929839258027d-07,
-     |  -8.6672764287279d-11,-5.6952305810998d-16,-2.3712206180608d-27/
-      data (pmn(lat,26,35), lat = 1,36)/
-     |   1.1040294851608d-30, 2.4272337207738d-18, 1.0622875504749d-12,
-     |   4.2937641420999d-09, 1.6180237182981d-06, 1.3794945783677d-04,
-     |   4.0763665803823d-03, 5.2346929919397d-02, 3.2770508005562d-01,
-     |   1.0255313023600d+00, 1.4100180074775d+00, 1.4032800453506d-01,
-     |  -1.1251391166917d+00, 2.4541457583659d-01, 8.3893662096612d-01,
-     |  -8.6365612378628d-01,-1.3827936344899d-02, 8.4172965959919d-01,
-     |  -8.4172965959919d-01, 1.3827936344896d-02, 8.6365612378628d-01,
-     |  -8.3893662096612d-01,-2.4541457583659d-01, 1.1251391166917d+00,
-     |  -1.4032800453505d-01,-1.4100180074775d+00,-1.0255313023600d+00,
-     |  -3.2770508005562d-01,-5.2346929919398d-02,-4.0763665803823d-03,
-     |  -1.3794945783677d-04,-1.6180237182981d-06,-4.2937641421000d-09,
-     |  -1.0622875504750d-12,-2.4272337207738d-18,-1.1040294851608d-30/
-      data (pmn(lat,28,35), lat = 1,36)/
-     |   3.6929186769921d-34, 7.4168809287131d-21, 9.2954527997643d-15,
-     |   7.7207114119761d-11, 5.1393862106874d-08, 7.1549581124630d-06,
-     |   3.3211253324032d-04, 6.6355670600602d-03, 6.6006499170768d-02,
-     |   3.5225710291423d-01, 1.0175729020014d+00, 1.4218773203803d+00,
-     |   3.5818375150930d-01,-1.0862632970994d+00,-2.2735549588717d-01,
-     |   1.0509181239336d+00,-2.9928810738348d-01,-8.2998805822463d-01,
-     |   8.2998805822463d-01, 2.9928810738349d-01,-1.0509181239336d+00,
-     |   2.2735549588717d-01, 1.0862632970994d+00,-3.5818375150930d-01,
-     |  -1.4218773203803d+00,-1.0175729020014d+00,-3.5225710291423d-01,
-     |  -6.6006499170769d-02,-6.6355670600602d-03,-3.3211253324032d-04,
-     |  -7.1549581124630d-06,-5.1393862106874d-08,-7.7207114119764d-11,
-     |  -9.2954527997649d-15,-7.4168809287131d-21,-3.6929186769921d-34/
-      data (pmn(lat,30,35), lat = 1,36)/
-     |   8.4589078687406d-38, 1.5494812770565d-23, 5.5422532650785d-17,
-     |   9.4075550568763d-13, 1.0971280264679d-09, 2.4640975278558d-07,
-     |   1.7646439687924d-05, 5.3354252195191d-04, 8.0523137994897d-03,
-     |   6.7097760736634d-02, 3.2569678242778d-01, 9.2756640096042d-01,
-     |   1.4396714128517d+00, 7.8840352154137d-01,-7.8071718069923d-01,
-     |  -9.0912749187261d-01, 6.8690603833356d-01, 8.0515376734499d-01,
-     |  -8.0515376734499d-01,-6.8690603833356d-01, 9.0912749187261d-01,
-     |   7.8071718069923d-01,-7.8840352154137d-01,-1.4396714128517d+00,
-     |  -9.2756640096043d-01,-3.2569678242778d-01,-6.7097760736635d-02,
-     |  -8.0523137994898d-03,-5.3354252195192d-04,-1.7646439687925d-05,
-     |  -2.4640975278558d-07,-1.0971280264679d-09,-9.4075550568766d-13,
-     |  -5.5422532650789d-17,-1.5494812770565d-23,-8.4589078687406d-38/
-      data (pmn(lat,32,35), lat = 1,36)/
-     |   1.2087851921289d-41, 2.0168344427336d-26, 2.0531973191900d-19,
-     |   7.0910532005818d-15, 1.4394493167775d-11, 5.1673117346694d-09,
-     |   5.6339247790910d-07, 2.5281801049587d-05, 5.6200615005117d-04,
-     |   6.9654512930407d-03, 5.1911482713254d-02, 2.4315323585958d-01,
-     |   7.2624872194803d-01, 1.3440674748636d+00, 1.3315222409268d+00,
-     |   1.4537306244630d-01,-1.1265724205233d+00,-7.5591196315154d-01,
-     |   7.5591196315154d-01, 1.1265724205233d+00,-1.4537306244630d-01,
-     |  -1.3315222409268d+00,-1.3440674748636d+00,-7.2624872194803d-01,
-     |  -2.4315323585958d-01,-5.1911482713254d-02,-6.9654512930407d-03,
-     |  -5.6200615005117d-04,-2.5281801049587d-05,-5.6339247790911d-07,
-     |  -5.1673117346694d-09,-1.4394493167775d-11,-7.0910532005820d-15,
-     |  -2.0531973191902d-19,-2.0168344427336d-26,-1.2087851921289d-41/
-      data (pmn(lat,34,35), lat = 1,36)/
-     |   8.6153864684276d-46, 1.3078939193132d-29, 3.7810659437998d-22,
-     |   2.6474274000818d-17, 9.3056566320749d-14, 5.3003254266894d-11,
-     |   8.7091190171250d-09, 5.7181062206340d-07, 1.8342049761139d-05,
-     |   3.2788128662227d-04, 3.5718778803650d-03, 2.5222740037400d-02,
-     |   1.2038495983240d-01, 3.9842321873705d-01, 9.2254609599813d-01,
-     |   1.4712667312756d+00, 1.4976562271587d+00, 6.4893636999092d-01,
-     |  -6.4893636999091d-01,-1.4976562271587d+00,-1.4712667312756d+00,
-     |  -9.2254609599813d-01,-3.9842321873705d-01,-1.2038495983240d-01,
-     |  -2.5222740037401d-02,-3.5718778803650d-03,-3.2788128662228d-04,
-     |  -1.8342049761139d-05,-5.7181062206341d-07,-8.7091190171252d-09,
-     |  -5.3003254266894d-11,-9.3056566320749d-14,-2.6474274000819d-17,
-     |  -3.7810659438001d-22,-1.3078939193132d-29,-8.6153864684276d-46/
-!
-!     Zmn Basis Set zmn(lat,m,n)
-      data (zmn(lat, 0, 0), lat = 1,36)/
-     |   2.3490641842922d-03, 8.2463537327360d-03, 1.3229643528858d-02,
-     |   1.8647469951069d-02, 2.3543023080653d-02, 2.8550067424809d-02,
-     |   3.3108104619451d-02, 3.7603718778872d-02, 4.1655669807542d-02,
-     |   4.5522521895799d-02, 4.8932114002537d-02, 5.2062110725661d-02,
-     |   5.4718818423095d-02, 5.7022061778323d-02, 5.8841216534333d-02,
-     |   6.0250704841040d-02, 6.1174823017764d-02, 6.1649294721211d-02,
-     |   6.1649294721211d-02, 6.1174823017764d-02, 6.0250704841040d-02,
-     |   5.8841216534333d-02, 5.7022061778323d-02, 5.4718818423095d-02,
-     |   5.2062110725661d-02, 4.8932114002537d-02, 4.5522521895799d-02,
-     |   4.1655669807542d-02, 3.7603718778872d-02, 3.3108104619452d-02,
-     |   2.8550067424809d-02, 2.3543023080653d-02, 1.8647469951069d-02,
-     |   1.3229643528858d-02, 8.2463537327360d-03, 2.3490641842922d-03/
-      data (zmn(lat, 0, 1), lat = 1,36)/
-     |   4.0625341846829d-03, 1.4167767768315d-02, 2.2359879545600d-02,
-     |   3.0819298121973d-02, 3.7653586820473d-02, 4.3887095152989d-02,
-     |   4.8335983842576d-02, 5.1704319236041d-02, 5.3158868995833d-02,
-     |   5.3307215583740d-02, 5.1552617057075d-02, 4.8494886740161d-02,
-     |   4.3715977059168d-02, 3.7844312713774d-02, 3.0596615396335d-02,
-     |   2.2638345997272d-02, 1.3778189312883d-02, 4.7101571769983d-03,
-     |  -4.7101571769983d-03,-1.3778189312883d-02,-2.2638345997272d-02,
-     |  -3.0596615396335d-02,-3.7844312713774d-02,-4.3715977059168d-02,
-     |  -4.8494886740161d-02,-5.1552617057075d-02,-5.3307215583740d-02,
-     |  -5.3158868995833d-02,-5.1704319236041d-02,-4.8335983842576d-02,
-     |  -4.3887095152989d-02,-3.7653586820473d-02,-3.0819298121973d-02,
-     |  -2.2359879545600d-02,-1.4167767768315d-02,-4.0625341846829d-03/
-      data (zmn(lat, 1, 1), lat = 1,36)/
-     |   1.6261034096553d-04, 1.2814380088883d-03, 3.5432295318094d-03,
-     |   6.8322042789634d-03, 1.1068693859339d-02, 1.6112800649451d-02,
-     |   2.1818285921101d-02, 2.8007009220559d-02, 3.4494361054024d-02,
-     |   4.1080673841791d-02, 4.7567771534204d-02, 5.3757040656615d-02,
-     |   5.9461598444892d-02, 6.4507198606809d-02, 6.8741240084215d-02,
-     |   7.2034541550065d-02, 7.4287418765375d-02, 7.5431173260324d-02,
-     |   7.5431173260324d-02, 7.4287418765375d-02, 7.2034541550065d-02,
-     |   6.8741240084215d-02, 6.4507198606809d-02, 5.9461598444892d-02,
-     |   5.3757040656615d-02, 4.7567771534204d-02, 4.1080673841791d-02,
-     |   3.4494361054024d-02, 2.8007009220559d-02, 2.1818285921101d-02,
-     |   1.6112800649451d-02, 1.1068693859339d-02, 6.8322042789634d-03,
-     |   3.5432295318094d-03, 1.2814380088883d-03, 1.6261034096552d-04/
-      data (zmn(lat, 0, 2), lat = 1,36)/
-     |   5.2332423191757d-03, 1.7981343786370d-02, 2.7482153159682d-02,
-     |   3.6070575770820d-02, 4.1043568190153d-02, 4.3464438879477d-02,
-     |   4.1927334010966d-02, 3.7392254538339d-02, 2.9324133034143d-02,
-     |   1.8844760685127d-02, 6.0656256897331d-03,-7.7494329926194d-03,
-     |  -2.2087881117916d-02,-3.5707572659808d-02,-4.7969634057914d-02,
-     |  -5.7873846437252d-02,-6.4912916517691d-02,-6.8528146590482d-02,
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-      data (zmn(lat, 6, 9), lat = 1,36)/
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-      data (zmn(lat, 0,10), lat = 1,36)/
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-      data (zmn(lat, 1,10), lat = 1,36)/
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-      data (zmn(lat, 2,10), lat = 1,36)/
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-      data (zmn(lat, 4,10), lat = 1,36)/
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-      data (zmn(lat, 7,10), lat = 1,36)/
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-      data (zmn(lat, 8,10), lat = 1,36)/
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-      data (zmn(lat, 9,10), lat = 1,36)/
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-      data (zmn(lat,10,10), lat = 1,36)/
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-      data (zmn(lat, 0,11), lat = 1,36)/
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-      data (zmn(lat, 5,12), lat = 1,36)/
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-      data (zmn(lat, 6,12), lat = 1,36)/
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-      data (zmn(lat, 7,12), lat = 1,36)/
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-      data (zmn(lat, 8,12), lat = 1,36)/
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-      data (zmn(lat, 9,12), lat = 1,36)/
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-      data (zmn(lat,10,12), lat = 1,36)/
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-      data (zmn(lat,11,12), lat = 1,36)/
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-      data (zmn(lat,12,12), lat = 1,36)/
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-      data (zmn(lat, 0,13), lat = 1,36)/
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-      data (zmn(lat, 1,13), lat = 1,36)/
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-      data (zmn(lat, 2,13), lat = 1,36)/
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-      data (zmn(lat, 3,13), lat = 1,36)/
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-      data (zmn(lat, 4,13), lat = 1,36)/
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-      data (zmn(lat, 5,13), lat = 1,36)/
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-      data (zmn(lat, 6,13), lat = 1,36)/
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-      data (zmn(lat, 7,13), lat = 1,36)/
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-      data (zmn(lat, 8,14), lat = 1,36)/
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-      data (zmn(lat, 9,14), lat = 1,36)/
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-      data (zmn(lat,10,14), lat = 1,36)/
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-      data (zmn(lat,11,14), lat = 1,36)/
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-      data (zmn(lat,12,14), lat = 1,36)/
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-      data (zmn(lat,13,14), lat = 1,36)/
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-      data (zmn(lat,14,14), lat = 1,36)/
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-      data (zmn(lat, 0,15), lat = 1,36)/
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-      data (zmn(lat, 1,15), lat = 1,36)/
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-      data (zmn(lat, 2,15), lat = 1,36)/
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-      data (zmn(lat, 3,15), lat = 1,36)/
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-      data (zmn(lat, 4,15), lat = 1,36)/
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-      data (zmn(lat, 5,15), lat = 1,36)/
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-      data (zmn(lat, 6,15), lat = 1,36)/
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-      data (zmn(lat, 7,15), lat = 1,36)/
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-      data (zmn(lat, 8,15), lat = 1,36)/
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-      data (zmn(lat, 9,15), lat = 1,36)/
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-      data (zmn(lat, 9,16), lat = 1,36)/
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-      data (zmn(lat,14,16), lat = 1,36)/
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-      data (zmn(lat, 0,17), lat = 1,36)/
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-      data (zmn(lat, 1,17), lat = 1,36)/
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-      data (zmn(lat, 2,17), lat = 1,36)/
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-      data (zmn(lat, 7,17), lat = 1,36)/
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-      data (zmn(lat, 8,17), lat = 1,36)/
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-      data (zmn(lat,12,17), lat = 1,36)/
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-      data (zmn(lat,13,17), lat = 1,36)/
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-      data (zmn(lat,14,17), lat = 1,36)/
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-      data (zmn(lat,16,17), lat = 1,36)/
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-      data (zmn(lat,17,17), lat = 1,36)/
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-      data (zmn(lat, 0,18), lat = 1,36)/
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-      data (zmn(lat, 1,18), lat = 1,36)/
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-      data (zmn(lat, 4,18), lat = 1,36)/
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-      data (zmn(lat, 5,18), lat = 1,36)/
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-      data (zmn(lat,18,19), lat = 1,36)/
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-      data (zmn(lat, 1,20), lat = 1,36)/
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-      data (zmn(lat, 2,20), lat = 1,36)/
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-      data (zmn(lat, 4,20), lat = 1,36)/
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-      data (zmn(lat, 5,20), lat = 1,36)/
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-      data (zmn(lat, 6,20), lat = 1,36)/
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-      data (zmn(lat, 7,20), lat = 1,36)/
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-      data (zmn(lat, 8,20), lat = 1,36)/
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-      data (zmn(lat, 9,20), lat = 1,36)/
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-      data (zmn(lat,10,20), lat = 1,36)/
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-      data (zmn(lat,11,20), lat = 1,36)/
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-      data (zmn(lat,12,20), lat = 1,36)/
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-      data (zmn(lat,13,20), lat = 1,36)/
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-      data (zmn(lat,14,20), lat = 1,36)/
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-      data (zmn(lat,17,20), lat = 1,36)/
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-      data (zmn(lat,18,20), lat = 1,36)/
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-      data (zmn(lat,20,20), lat = 1,36)/
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-      data (zmn(lat, 0,21), lat = 1,36)/
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-      data (zmn(lat, 3,21), lat = 1,36)/
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-      data (zmn(lat, 7,21), lat = 1,36)/
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-      data (zmn(lat, 8,21), lat = 1,36)/
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-      data (zmn(lat,10,21), lat = 1,36)/
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-      data (zmn(lat,12,21), lat = 1,36)/
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-      data (zmn(lat,13,21), lat = 1,36)/
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-      data (zmn(lat,14,21), lat = 1,36)/
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-      data (zmn(lat,15,21), lat = 1,36)/
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-      data (zmn(lat,16,21), lat = 1,36)/
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-      data (zmn(lat,17,21), lat = 1,36)/
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-      data (zmn(lat,18,21), lat = 1,36)/
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-      data (zmn(lat,19,21), lat = 1,36)/
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-      data (zmn(lat,20,21), lat = 1,36)/
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-      data (zmn(lat,21,21), lat = 1,36)/
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-      data (zmn(lat, 0,22), lat = 1,36)/
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-      data (zmn(lat, 1,22), lat = 1,36)/
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-      data (zmn(lat, 2,22), lat = 1,36)/
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-      data (zmn(lat,20,22), lat = 1,36)/
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-      data (zmn(lat,22,22), lat = 1,36)/
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-      data (zmn(lat, 0,23), lat = 1,36)/
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-      data (zmn(lat, 5,23), lat = 1,36)/
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-      data (zmn(lat, 8,23), lat = 1,36)/
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-      data (zmn(lat, 9,23), lat = 1,36)/
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-      data (zmn(lat,10,23), lat = 1,36)/
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-      data (zmn(lat,17,24), lat = 1,36)/
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-      data (zmn(lat,18,24), lat = 1,36)/
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-      data (zmn(lat, 8,25), lat = 1,36)/
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-      data (zmn(lat,23,25), lat = 1,36)/
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-      data (zmn(lat,24,25), lat = 1,36)/
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-      data (zmn(lat, 2,27), lat = 1,36)/
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-      data (zmn(lat, 3,27), lat = 1,36)/
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-      data (zmn(lat,19,27), lat = 1,36)/
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-      data (zmn(lat,20,27), lat = 1,36)/
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-     |   2.4955550126688d-11,-2.3123297936966d-11, 7.9206770288231d-12/
-      data (zmn(lat,21,27), lat = 1,36)/
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-     |   3.0365746559447d-11,-3.0809901093518d-11, 3.1671921132128d-11/
-      data (zmn(lat,22,27), lat = 1,36)/
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-     |  -2.4889144249969d-12, 1.4966579773054d-12,-5.1018229117223d-13/
-      data (zmn(lat,23,27), lat = 1,36)/
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-     |  -1.6862079610138d-12, 1.7749139642101d-12,-1.8185775886123d-12/
-      data (zmn(lat,24,27), lat = 1,36)/
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-     |   1.0790221821974d-13,-6.7109302336050d-14, 2.2779429897268d-14/
-      data (zmn(lat,25,27), lat = 1,36)/
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-     |   6.1711756085600d-14,-6.4588541374862d-14, 6.6039117173490d-14/
-      data (zmn(lat,26,27), lat = 1,36)/
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-     |  -2.6354934049556d-15, 1.6134456170273d-15,-7.8979708253377d-16/
-      data (zmn(lat,27,27), lat = 1,36)/
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-     |  -1.0499471988802d-15, 9.0092073393779d-16,-1.0992414696690d-15/
-      data (zmn(lat, 0,28), lat = 1,36)/
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-      data (zmn(lat, 1,28), lat = 1,36)/
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-      data (zmn(lat, 2,28), lat = 1,36)/
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-      data (zmn(lat, 3,28), lat = 1,36)/
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-      data (zmn(lat, 4,28), lat = 1,36)/
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-      data (zmn(lat, 5,28), lat = 1,36)/
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-      data (zmn(lat, 6,28), lat = 1,36)/
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-      data (zmn(lat,22,28), lat = 1,36)/
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-      data (zmn(lat,22,30), lat = 1,36)/
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-      data (zmn(lat,25,30), lat = 1,36)/
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-      data (zmn(lat,26,30), lat = 1,36)/
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-      data (zmn(lat, 9,31), lat = 1,36)/
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-      data (zmn(lat,10,31), lat = 1,36)/
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-      data (zmn(lat, 8,33), lat = 1,36)/
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-     |   1.6611141190535d-02,-9.3713518575587d-03, 6.1199823321737d-04,
-     |   1.1050896291554d-02,-2.9481250793749d-02, 1.5772289929725d-03/
-      data (zmn(lat, 6,35), lat = 1,36)/
-     |   8.9234610199213d-04, 3.9759897013677d-03, 4.3466210646839d-02,
-     |  -3.1839471992466d-02, 1.7172508926701d-02,-4.1650249783253d-03,
-     |  -7.0291732267421d-03, 1.6712875982222d-02,-2.5148477122404d-02,
-     |   3.2515915675792d-02,-3.8931496301598d-02, 4.4468523888237d-02,
-     |  -4.9172262830177d-02, 5.3069952563158d-02,-5.6177407179005d-02,
-     |   5.8503361853799d-02,-6.0052324778605d-02, 6.0826405907872d-02,
-     |  -6.0826405907872d-02, 6.0052324778605d-02,-5.8503361853799d-02,
-     |   5.6177407179005d-02,-5.3069952563157d-02, 4.9172262830178d-02,
-     |  -4.4468523888236d-02, 3.8931496301598d-02,-3.2515915675791d-02,
-     |   2.5148477122404d-02,-1.6712875982221d-02, 7.0291732267414d-03,
-     |   4.1650249783253d-03,-1.7172508926701d-02, 3.1839471992467d-02,
-     |  -4.3466210646839d-02,-3.9759897013676d-03,-8.9234610199182d-04/
-      data (zmn(lat, 8,35), lat = 1,36)/
-     |  -4.2307149533545d-04, 1.9514318412178d-03, 1.9752459176166d-02,
-     |   4.3235349555479d-02,-4.8645971234913d-02, 3.7878976299458d-02,
-     |  -2.3332993355261d-02, 8.6912796183292d-03, 4.9119983485503d-03,
-     |  -1.7144124216564d-02, 2.7933856110038d-02,-3.7292128147364d-02,
-     |   4.5250412424508d-02,-5.1840016986081d-02, 5.7086105165876d-02,
-     |  -6.1006936374135d-02, 6.3614751636695d-02,-6.4916935465284d-02,
-     |   6.4916935465284d-02,-6.3614751636695d-02, 6.1006936374135d-02,
-     |  -5.7086105165876d-02, 5.1840016986081d-02,-4.5250412424508d-02,
-     |   3.7292128147364d-02,-2.7933856110038d-02, 1.7144124216564d-02,
-     |  -4.9119983485498d-03,-8.6912796183298d-03, 2.3332993355262d-02,
-     |  -3.7878976299458d-02, 4.8645971234913d-02,-4.3235349555479d-02,
-     |  -1.9752459176166d-02,-1.9514318412178d-03, 4.2307149533519d-04/
-      data (zmn(lat,10,35), lat = 1,36)/
-     |   1.9423795586754d-04,-5.2426653093634d-04, 5.9382823387113d-03,
-     |   4.0031217874082d-02, 2.7176168489359d-02,-5.3417131771994d-02,
-     |   5.3820449839478d-02,-4.2547889929781d-02, 2.6767249704450d-02,
-     |  -9.9025422921286d-03,-6.3914683112681d-03, 2.1295248292513d-02,
-     |  -3.4392662344281d-02, 4.5467538650252d-02,-5.4405287936294d-02,
-     |   6.1144190549856d-02,-6.5650877132883d-02, 6.7907952500644d-02,
-     |  -6.7907952500644d-02, 6.5650877132883d-02,-6.1144190549856d-02,
-     |   5.4405287936294d-02,-4.5467538650252d-02, 3.4392662344282d-02,
-     |  -2.1295248292512d-02, 6.3914683112684d-03, 9.9025422921288d-03,
-     |  -2.6767249704450d-02, 4.2547889929782d-02,-5.3820449839478d-02,
-     |   5.3417131771994d-02,-2.7176168489359d-02,-4.0031217874081d-02,
-     |  -5.9382823387114d-03, 5.2426653093633d-04,-1.9423795586732d-04/
-      data (zmn(lat,12,35), lat = 1,36)/
-     |  -8.3081722139837d-05, 2.4755813592483d-04, 2.6579629940961d-04,
-     |   1.5917137839742d-02, 5.6668494261389d-02, 6.6418687126686d-04,
-     |  -4.4377096515418d-02, 6.0302167789129d-02,-5.7086671167628d-02,
-     |   4.3249155957333d-02,-2.4490604855387d-02, 4.3257038864719d-03,
-     |   1.5113607993967d-02,-3.2528476423266d-02, 4.7120177746570d-02,
-     |  -5.8395310356376d-02, 6.6053120242204d-02,-6.9921301651239d-02,
-     |   6.9921301651240d-02,-6.6053120242204d-02, 5.8395310356376d-02,
-     |  -4.7120177746570d-02, 3.2528476423265d-02,-1.5113607993968d-02,
-     |  -4.3257038864725d-03, 2.4490604855387d-02,-4.3249155957333d-02,
-     |   5.7086671167628d-02,-6.0302167789129d-02, 4.4377096515418d-02,
-     |  -6.6418687126646d-04,-5.6668494261389d-02,-1.5917137839742d-02,
-     |  -2.6579629940968d-04,-2.4755813592485d-04, 8.3081722139662d-05/
-      data (zmn(lat,14,35), lat = 1,36)/
-     |   3.2422592313708d-05,-9.6206170082595d-05, 2.1411987241732d-04,
-     |   3.0027677216282d-03, 3.1646880912223d-02, 6.3463430053284d-02,
-     |  -2.7780427625165d-02,-2.5426581994636d-02, 5.7230147214752d-02,
-     |  -6.5107477341269d-02, 5.5724756629477d-02,-3.6228102630081d-02,
-     |   1.2244637005304d-02, 1.2194502882224d-02,-3.4313990977936d-02,
-     |   5.2251817316555d-02,-6.4802477227581d-02, 7.1245995337081d-02,
-     |  -7.1245995337080d-02, 6.4802477227581d-02,-5.2251817316554d-02,
-     |   3.4313990977935d-02,-1.2194502882224d-02,-1.2244637005303d-02,
-     |   3.6228102630082d-02,-5.5724756629476d-02, 6.5107477341269d-02,
-     |  -5.7230147214752d-02, 2.5426581994635d-02, 2.7780427625166d-02,
-     |  -6.3463430053284d-02,-3.1646880912223d-02,-3.0027677216280d-03,
-     |  -2.1411987241740d-04, 9.6206170082576d-05,-3.2422592313475d-05/
-      data (zmn(lat,16,35), lat = 1,36)/
-     |  -1.1358424856612d-05, 3.3797690270056d-05,-5.2113373194029d-05,
-     |   5.0915347286371d-04, 9.0648252634961d-03, 4.9920831476083d-02,
-     |   5.8869905624277d-02,-5.1048159203388d-02,-2.9867258202891d-03,
-     |   4.8152606471942d-02,-6.7855958084380d-02, 6.3820072582903d-02,
-     |  -4.3510888293933d-02, 1.4887679878829d-02, 1.5342051777845d-02,
-     |  -4.2086292662984d-02, 6.1772878400678d-02,-7.2156118984803d-02,
-     |   7.2156118984803d-02,-6.1772878400678d-02, 4.2086292662983d-02,
-     |  -1.5342051777845d-02,-1.4887679878830d-02, 4.3510888293932d-02,
-     |  -6.3820072582903d-02, 6.7855958084380d-02,-4.8152606471942d-02,
-     |   2.9867258202890d-03, 5.1048159203388d-02,-5.8869905624277d-02,
-     |  -4.9920831476083d-02,-9.0648252634962d-03,-5.0915347286387d-04,
-     |   5.2113373194128d-05,-3.3797690270074d-05, 1.1358424856191d-05/
-      data (zmn(lat,18,35), lat = 1,36)/
-     |   3.5207768460461d-06,-1.0490753102790d-05, 1.7396448691216d-05,
-     |   1.6408499244635d-05, 1.7212037462349d-03, 1.8899352639186d-02,
-     |   6.6651163224262d-02, 4.5809451406243d-02,-6.6097446697308d-02,
-     |   1.7231556425222d-02, 3.8124742737087d-02,-6.8490427754309d-02,
-     |   6.8411002209545d-02,-4.5063150870202d-02, 9.5889327826270d-03,
-     |   2.7200005975564d-02,-5.6635737439637d-02, 7.2829390771885d-02,
-     |  -7.2829390771885d-02, 5.6635737439637d-02,-2.7200005975564d-02,
-     |  -9.5889327826274d-03, 4.5063150870203d-02,-6.8411002209544d-02,
-     |   6.8490427754309d-02,-3.8124742737087d-02,-1.7231556425222d-02,
-     |   6.6097446697308d-02,-4.5809451406242d-02,-6.6651163224263d-02,
-     |  -1.8899352639186d-02,-1.7212037462350d-03,-1.6408499244660d-05,
-     |  -1.7396448691290d-05, 1.0490753102777d-05,-3.5207768456418d-06/
-      data (zmn(lat,20,35), lat = 1,36)/
-     |  -9.5155041849801d-07, 2.8379784913205d-06,-4.6719013650808d-06,
-     |   9.0879778760277d-06, 2.0440984606789d-04, 4.4257178398482d-03,
-     |   3.1510346972419d-02, 7.9116103017178d-02, 2.9531090414391d-02,
-     |  -7.3984640133197d-02, 3.1763323218335d-02, 3.1993868446747d-02,
-     |  -7.0421535966233d-02, 6.9875973176106d-02,-3.8368585199995d-02,
-     |  -7.0791374289096d-03, 4.8839040932306d-02,-7.3337598189858d-02,
-     |   7.3337598189858d-02,-4.8839040932305d-02, 7.0791374289091d-03,
-     |   3.8368585199995d-02,-6.9875973176106d-02, 7.0421535966233d-02,
-     |  -3.1993868446747d-02,-3.1763323218335d-02, 7.3984640133197d-02,
-     |  -2.9531090414391d-02,-7.9116103017178d-02,-3.1510346972419d-02,
-     |  -4.4257178398482d-03,-2.0440984606787d-04,-9.0879778758182d-06,
-     |   4.6719013648649d-06,-2.8379784913090d-06, 9.5155041831214d-07/
-      data (zmn(lat,22,35), lat = 1,36)/
-     |   2.2055158361058d-07,-6.5822319906541d-07, 1.0859982159492d-06,
-     |  -1.3708608393990d-06, 2.0715323982407d-05, 6.8495401354048d-04,
-     |   8.7608488739907d-03, 4.4906484570138d-02, 8.7053068776179d-02,
-     |   1.5357865797582d-02,-7.8149259673489d-02, 3.8861684949049d-02,
-     |   3.3795171645965d-02,-7.5472545646064d-02, 6.5531568803426d-02,
-     |  -1.8090142771079d-02,-3.7626051994185d-02, 7.3666541607350d-02,
-     |  -7.3666541607350d-02, 3.7626051994185d-02, 1.8090142771080d-02,
-     |  -6.5531568803426d-02, 7.5472545646064d-02,-3.3795171645966d-02,
-     |  -3.8861684949050d-02, 7.8149259673489d-02,-1.5357865797582d-02,
-     |  -8.7053068776179d-02,-4.4906484570139d-02,-8.7608488739907d-03,
-     |  -6.8495401354045d-04,-2.0715323982544d-05, 1.3708608391918d-06,
-     |  -1.0859982158078d-06, 6.5822319918974d-07,-2.2055158357886d-07/
-      data (zmn(lat,24,35), lat = 1,36)/
-     |  -4.2961919485184d-08, 1.2827862701536d-07,-2.1181606653381d-07,
-     |   2.9697073287784d-07, 8.2370469199880d-07, 7.4402219391972d-05,
-     |   1.5777924953762d-03, 1.4143426006937d-02, 5.6967253933287d-02,
-     |   9.2322084864831d-02, 7.6649667274491d-03,-8.2148088145413d-02,
-     |   3.6479586158859d-02, 4.6552986744433d-02,-8.0895109673011d-02,
-     |   4.6547794028832d-02, 2.2077580837449d-02,-7.3733438446795d-02,
-     |   7.3733438446794d-02,-2.2077580837449d-02,-4.6547794028833d-02,
-     |   8.0895109673011d-02,-4.6552986744432d-02,-3.6479586158858d-02,
-     |   8.2148088145413d-02,-7.6649667274493d-03,-9.2322084864831d-02,
-     |  -5.6967253933287d-02,-1.4143426006937d-02,-1.5777924953763d-03,
-     |  -7.4402219392026d-05,-8.2370469177449d-07,-2.9697073263570d-07,
-     |   2.1181606650455d-07,-1.2827862700361d-07, 4.2961919648664d-08/
-      data (zmn(lat,26,35), lat = 1,36)/
-     |   6.8489582397742d-09,-2.0457417185244d-08, 3.3802957575324d-08,
-     |  -4.6614422511571d-08, 1.1312766350964d-07, 5.4879080484100d-06,
-     |   1.9121536461781d-04, 2.7808103613668d-03, 1.9320402241011d-02,
-     |   6.5982149117312d-02, 9.7620090392615d-02, 1.0327988058320d-02,
-     |  -8.7092724528000d-02, 1.9786097296961d-02, 6.9822738698391d-02,
-     |  -7.3581827169281d-02,-1.1962496626928d-03, 7.3384714461842d-02,
-     |  -7.3384714461842d-02, 1.1962496626926d-03, 7.3581827169281d-02,
-     |  -6.9822738698391d-02,-1.9786097296962d-02, 8.7092724527999d-02,
-     |  -1.0327988058320d-02,-9.7620090392615d-02,-6.5982149117312d-02,
-     |  -1.9320402241011d-02,-2.7808103613667d-03,-1.9121536461764d-04,
-     |  -5.4879080483439d-06,-1.1312766368635d-07, 4.6614422235903d-08,
-     |  -3.3802957522940d-08, 2.0457417041071d-08,-6.8489585291552d-09/
-      data (zmn(lat,28,35), lat = 1,36)/
-     |  -8.6078729437704d-10, 2.5718280915202d-09,-4.2518163782696d-09,
-     |   5.8838012900802d-09,-5.7286627513618d-09, 2.9723758644426d-07,
-     |   1.5561853424975d-05, 3.5252249997769d-04, 3.8914906403427d-03,
-     |   2.2664089720219d-02, 7.0449751966422d-02, 1.0464988507690d-01,
-     |   2.7725661738282d-02,-8.7578547783006d-02,-1.8922248019535d-02,
-     |   8.9536033966035d-02,-2.5894390939699d-02,-7.2361166262026d-02,
-     |   7.2361166262026d-02, 2.5894390939700d-02,-8.9536033966035d-02,
-     |   1.8922248019534d-02, 8.7578547783006d-02,-2.7725661738283d-02,
-     |  -1.0464988507690d-01,-7.0449751966422d-02,-2.2664089720219d-02,
-     |  -3.8914906403427d-03,-3.5252249997763d-04,-1.5561853425114d-05,
-     |  -2.9723758638113d-07, 5.7286628657211d-09,-5.8838012917911d-09,
-     |   4.2518162773871d-09,-2.5718281551903d-09, 8.6078740713807d-10/
-      data (zmn(lat,30,35), lat = 1,36)/
-     |   8.0520100610338d-11,-2.4062704509100d-10, 3.9797695285877d-10,
-     |  -5.5084173524356d-10, 7.3440915280043d-10, 9.0917456411602d-09,
-     |   8.2837902975144d-07, 2.8343065924243d-05, 4.7473637486861d-04,
-     |   4.3170407853289d-03, 2.2549012199690d-02, 6.8268689050325d-02,
-     |   1.1143963551523d-01, 6.3564006351231d-02,-6.4977141112171d-02,
-     |  -7.7455753903429d-02, 5.9431033774061d-02, 7.0196044678383d-02,
-     |  -7.0196044678383d-02,-5.9431033774061d-02, 7.7455753903429d-02,
-     |   6.4977141112172d-02,-6.3564006351231d-02,-1.1143963551523d-01,
-     |  -6.8268689050325d-02,-2.2549012199690d-02,-4.3170407853290d-03,
-     |  -4.7473637486862d-04,-2.8343065924236d-05,-8.2837902985296d-07,
-     |  -9.0917456374216d-09,-7.3440917190065d-10, 5.5084189329453d-10,
-     |  -3.9797677947596d-10, 2.4062701449668d-10,-8.0520111869082d-11/
-      data (zmn(lat,32,35), lat = 1,36)/
-     |  -5.0658327700379d-12, 1.5141782363561d-11,-2.5051707006613d-11,
-     |   3.4691928625316d-11,-4.3488631569844d-11, 2.6101890119899d-10,
-     |   2.6355361153231d-08, 1.3431508039511d-06, 3.3133765174576d-05,
-     |   4.4815432896516d-04, 3.5939948412046d-03, 1.7896026719452d-02,
-     |   5.6216224676940d-02, 1.0836369118769d-01, 1.1081927334494d-01,
-     |   1.2385479596959d-02,-9.7470917406423d-02,-6.5902978162656d-02,
-     |   6.5902978162656d-02, 9.7470917406423d-02,-1.2385479596958d-02,
-     |  -1.1081927334494d-01,-1.0836369118769d-01,-5.6216224676940d-02,
-     |  -1.7896026719452d-02,-3.5939948412046d-03,-4.4815432896518d-04,
-     |  -3.3133765174612d-05,-1.3431508039849d-06,-2.6355361079018d-08,
-     |  -2.6101891125651d-10, 4.3488633087596d-11,-3.4691998980893d-11,
-     |   2.5051712937633d-11,-1.5141628269825d-11, 5.0658176169613d-12/
-      data (zmn(lat,34,35), lat = 1,36)/
-     |   1.7038162620220d-13,-5.0866213211956d-13, 8.4199183903458d-13,
-     |  -1.1665941728569d-12, 1.4820282914418d-12, 3.5842748330607d-13,
-     |   4.1041351946107d-10, 3.0374807928641d-08, 1.0813831904369d-06,
-     |   2.1095743173502d-05, 2.4729232290116d-04, 1.8563883179663d-03,
-     |   9.3185540425829d-03, 3.2122353527374d-02, 7.6781209464090d-02,
-     |   1.2534883435729d-01, 1.2957704591695d-01, 5.6576481882842d-02,
-     |  -5.6576481882842d-02,-1.2957704591695d-01,-1.2534883435729d-01,
-     |  -7.6781209464090d-02,-3.2122353527374d-02,-9.3185540425828d-03,
-     |  -1.8563883179663d-03,-2.4729232290119d-04,-2.1095743173520d-05,
-     |  -1.0813831904606d-06,-3.0374807887747d-08,-4.1041342736601d-10,
-     |  -3.5837938297086d-13,-1.4820186866100d-12, 1.1666229248957d-12,
-     |  -8.4208403367241d-13, 5.0867372089355d-13,-1.7038409910298d-13/
-
-#endif
-!
-      end module he_coefs_sres
diff --git a/src/heelis.F b/src/heelis.F
index 0ca1beb..af68d44 100644
--- a/src/heelis.F
+++ b/src/heelis.F
@@ -44,7 +44,7 @@ subroutine potm
 ! Calculate heelis potential in geomagnetic coordinates.
 !
 ! Local:
-      integer :: i,j
+      integer :: j
       real,dimension(nmlon) :: dlat,dlon,ratio
       integer,dimension(nmlon) :: iflag
 !
@@ -57,7 +57,7 @@ subroutine potm
 ! flwv32 returns single-level Heelis potential in geomag coords:
 !
         if (abs(ylatm(j)) > pi_dyn/6.) then
-          call flwv32(dlat,dlon,ratio,iflag,nmlon,phihm(:,j),j)
+          call flwv32(dlat,dlon,ratio,iflag,nmlon,phihm(:,j))
         else
           phihm(1:nmlon,j) = 0.
         endif
@@ -69,18 +69,17 @@ subroutine potm
       enddo ! j=1,nmlat
       end subroutine potm
 !-----------------------------------------------------------------------
-      subroutine flwv32(dlat,dlon,ratio,iflag,nmlon,poten,mlat)
+      subroutine flwv32(dlat,dlon,ratio,iflag,nmlon,poten)
 !
 ! Calculate heelis potential at current magnetic latitude mlat.
 !
       use aurora_module,only: offa,offc,dskofa,dskofc,phin,phid,theta0,
      |  psie,psim,pcen,phidm0,phidp0,phinm0,phinp0,rr1
-      use params_module,only: nlon
       use cons_module,only: pi_dyn
       implicit none
 !
 ! Args:
-      integer,intent(in) :: mlat,nmlon
+      integer,intent(in) :: nmlon
       integer,intent(inout) :: iflag(nmlon)
       real,dimension(nmlon),intent(in)  :: dlat,dlon,ratio
       real,dimension(nmlon+1),intent(out) :: poten
@@ -119,21 +118,22 @@ subroutine flwv32(dlat,dlon,ratio,iflag,nmlon,poten,mlat)
         phdmmx(n) = phnpmx(n)
       enddo ! n=1,2
 
-!     write(6,"('flwv32: mlat=',i3,' cosofa=',2e12.4)") mlat,cosofa
-!     write(6,"('flwv32: mlat=',i3,' sinofa=',2e12.4)") mlat,sinofa
-!     write(6,"('flwv32: mlat=',i3,' aslona=',2e12.4)") mlat,aslona
-!     write(6,"('flwv32: mlat=',i3,' cosofc=',2e12.4)") mlat,cosofc
-!     write(6,"('flwv32: mlat=',i3,' sinofc=',2e12.4)") mlat,sinofc
-!     write(6,"('flwv32: mlat=',i3,' aslonc=',2e12.4)") mlat,aslonc
-!     write(6,"('flwv32: mlat=',i3,' phdpmx=',2e12.4,' phnpmx=',
-!    |  2e12.4)") mlat,phdpmx,phnpmx
-!     write(6,"('flwv32: mlat=',i3,' phnmmx=',2e12.4,' phdmmx=',
-!    |  2e12.4)") mlat,phnmmx,phdmmx
+!     write(6,"('flwv32: cosofa=',2e12.4)") cosofa
+!     write(6,"('flwv32: sinofa=',2e12.4)") sinofa
+!     write(6,"('flwv32: aslona=',2e12.4)") aslona
+!     write(6,"('flwv32: cosofc=',2e12.4)") cosofc
+!     write(6,"('flwv32: sinofc=',2e12.4)") sinofc
+!     write(6,"('flwv32: aslonc=',2e12.4)") aslonc
+!     write(6,"('flwv32: phdpmx=',2e12.4,' phnpmx=',2e12.4)")
+!    |  phdpmx,phnpmx
+!     write(6,"('flwv32: phnmmx=',2e12.4,' phdmmx=',2e12.4)")
+!    |  phnmmx,phdmmx
 
 !
 ! Set ihem=1,2 for South,North hemisphere:
 !
-      ihem = int(dlat(max0(1,nlon/2))*2./3.1416+2.) 
+! Change nlon to nmlon, Dang, 2017
+      ihem = int(dlat(max0(1,nmlon/2))*2./3.1416+2.) 
       sinth0 = sin(theta0(ihem))
 !
 ! Average amie results show r1=-2.6 for 11.3 degrees
@@ -225,7 +225,7 @@ subroutine flwv32(dlat,dlon,ratio,iflag,nmlon,poten,mlat)
         endif
       enddo
 
-!     write(6,"(/'flwv32: j=',i2,' ihem=',i2)") mlat,ihem
+!     write(6,"(/'flwv32: ihem=',i2)") ihem
 !     write(6,"('  theta0(ihem)=',e12.4,' pcen(ihem)=',e12.4,
 !    |  ' rr1(ihem)=',e12.4)") theta0(ihem),pcen(ihem),rr1(ihem)
 !     write(6,"('  sinth0=',e12.4,' sinthr1=',e12.4)") sinth0,sinthr1
@@ -234,8 +234,7 @@ subroutine flwv32(dlat,dlon,ratio,iflag,nmlon,poten,mlat)
 !     write(6,"('  phifun=',/,(6e12.4))") phifun
 !     write(6,"('  phifn2=',/,(6e12.4))") phifn2
 !     write(6,"('  poten =',/,(6e12.4))") poten
-!     write(6,"(/'flwv32: j=',i2,' ihem=',i2,' poten=',/,(6e12.4))") 
-!    |  mlat,ihem,poten   
+!     write(6,"(/'flwv32: ihem=',i2,' poten=',/,(6e12.4))") ihem,poten
 
       end subroutine flwv32
 !-----------------------------------------------------------------------
diff --git a/src/hist.F b/src/hist.F
index 02fb6fd..fb8bbdf 100644
--- a/src/hist.F
+++ b/src/hist.F
@@ -110,33 +110,29 @@ module hist_module
      |    saber_ncfile,      ! SABER U,Z lbc data file
      |    tidi_ncfile,       ! TIDI U,V lbc data file
      |    ctmt_ncfile,       ! CTMT lbc data file
-     |    hme_ncfile,        ! HME lbc data file
-     |    tgcmlb_ncfile,     ! TGCM lbc data file
-     |    bgrddata_ncfile,   ! Background data file
-     |    amienh_ncfile,     ! AMIE NH data file
-     |    amiesh_ncfile      ! AMIE SH data file
+     |    bgrddata_ncfile    ! Background data file
         integer ::
      |    nlat,              ! number of latitude grid points
      |    nlon,              ! number of longitude grid points
      |    nlev,              ! number of vertical levels
      |    ihist,             ! ihist = nth history on current file
-     |    delhmins,          ! delta minutes between histories
+     |    delhsecs,          ! delta seconds between histories
      |    modeltime(4),      ! model time (day,hour,minute,seconds)
-     |    iter,              ! iteration (# steps from 0,0,0)
+     |    iter,              ! iteration (# steps from 0,0,0,0)
      |    year,              ! 4-digit year
      |    day,               ! calendar day (1-367)
      |    calendar_advance,  ! 0/1
      |    step,              ! time step (seconds)
      |    initial_day,       ! initial starting day
      |    initial_year,      ! initial starting year
-     |    initial_mtime(3),  ! initial starting model time
-     |    source_mtime(3),   ! start time of source history
+     |    initial_mtime(4),  ! initial starting model time
+     |    source_mtime(4),   ! start time of source history
      |    tuv_lbc_intop,     ! 1 (old histories), or 0 (new histories)
      |    ntask_mpi,         ! number of mpi tasks this run
-     |    coupled_cmit       ! 1 if coupled with CISM/CMIT, 0 otherwise
+     |    coupled_mage       ! 1 if coupled with MAGE, 0 otherwise
         real :: 
      |    ut,                ! ut (decimal hours, from modeltime)
-     |    time,              ! model time ("minutes since yyyy-m-d")
+     |    time,              ! model time ("seconds since yyyy-m-d")
      |    missing_value,     ! missing value (usually spval)
      |    zmtop,             ! top midpoint level
      |    zmbot,             ! bottom midpoint level
@@ -188,7 +184,7 @@ module hist_module
 !-------------------------------------------------------------------
       subroutine hist_initype(h,istep)
       use params_module,only: zibot
-      use input_module,only: start_year,start_day,start,
+      use input_module,only: start_year,start_day,pristart,
      |  calendar_advance,source_start,source
 !
 ! Initialize a history structure:
@@ -216,13 +212,13 @@ subroutine hist_initype(h,istep)
       if (nsource > 0) then
         h%initial_year  = start_year
         h%initial_day   = start_day 
-        h%initial_mtime = start(:,1)
+        h%initial_mtime = pristart(:,1)
         h%initial_file = source
         h%source_mtime  = source_start
       endif
 
       h%ihist = -1
-      h%delhmins = 0
+      h%delhsecs = 0
       h%modeltime = (/-1,-1,-1,-1/)
       h%nlat = 0
       h%nlon = 0
@@ -250,15 +246,8 @@ subroutine hist_initype(h,istep)
 
       h%saber_ncfile = '[none]'
       h%tidi_ncfile = '[none]'
-      
-      h%ctmt_ncfile = '[none]'
-      h%hme_ncfile  = '[none]'
-      h%tgcmlb_ncfile  = '[none]'
-      
       h%bgrddata_ncfile = '[none]'
-      
-      h%amienh_ncfile = '[none]'
-      h%amiesh_ncfile = '[none]'
+      h%ctmt_ncfile = '[none]'
 
       h%nflds  = 0
       h%dynamo = .false.
@@ -266,10 +255,10 @@ subroutine hist_initype(h,istep)
       h%tuv_lbc_intop = 0 ! this version writes "new" histories
       h%lbc = zibot
       h%ntask_mpi = 0
-#if defined(INTERCOMM) || defined(CISMAH)
-      h%coupled_cmit = 1
+#ifdef GAMERA
+      h%coupled_mage = 1
 #else
-      h%coupled_cmit = 0
+      h%coupled_mage = 0
 #endif
 !
 ! If istep==0, h%f107, etc were defined from source history: 
@@ -358,15 +347,15 @@ subroutine hist_print(h,rdwr,diskfile)
       write(6,"(2x,'run_type   = ',a)") trim(h%run_type)
       write(6,"(2x,'source_file  = ',a)") trim(h%source_file)
       write(6,"(2x,'output_file  = ',a)") trim(h%output_file)
-      write(6,"(2x,'source_mtime = ',3i4)") h%source_mtime
+      write(6,"(2x,'source_mtime = ',4i4)") h%source_mtime
       write(6,"(2x,'initial_year = ',i4)") h%initial_year
       write(6,"(2x,'initial_day  = ',i4)") h%initial_day
-      write(6,"(2x,'initial_mtime= ',3i4)") h%initial_mtime
+      write(6,"(2x,'initial_mtime= ',4i4)") h%initial_mtime
       write(6,"(2x,'type       = ',a)") trim(h%hist_type)
       write(6,"(2x,'ihist      = ',i3,
      |  ' (nth history on history file)')") h%ihist
-      write(6,"(2x,'delhmins= ',i4,
-     |  ' (delta minutes between histories)')") h%delhmins
+      write(6,"(2x,'delhsecs= ',i4,
+     |  ' (delta seconds between histories)')") h%delhsecs
       write(6,"(2x,'calendar year,day = ',i4,',',i3)") h%year,h%day
       if (h%calendar_advance<=0) then
         write(6,"(4x,'(model is NOT being advanced in calendar time)')")
@@ -375,8 +364,8 @@ subroutine hist_print(h,rdwr,diskfile)
       endif
       write(6,"(2x,'modeltime = ',i3,',',i2,',',i2,',',i2,
      |  ' (model time day,hour,minute,seconds)')") h%modeltime
-      if (h%time <= 1440.) then
-        write(6,"(2x,'time    = ',f10.2,' (minutes in current day)')") 
+      if (h%time <= 86400.) then
+        write(6,"(2x,'time    = ',f10.2,' (seconds in current day)')") 
      |    h%time
       else
         write(6,"(2x,'time    = ')")
@@ -384,7 +373,7 @@ subroutine hist_print(h,rdwr,diskfile)
       write(6,"(2x,'ut      = ',f5.2,' (ut hours)')") h%ut
       write(6,"(2x,'step    = ',i4,' (time step in seconds)')")
      |  h%step
-      write(6,"(2x,'iter    = ',i8,' (number of steps from 0,0,0)')")
+      write(6,"(2x,'iter    = ',i8,' (number of steps from 0,0,0,0)')")
      |  h%iter
       write(6,"(2x,'nlat    = ',i4,' (number of latitudes)')") h%nlat
       write(6,"(2x,'nlon    = ',i4,' (number of longitudes)')") h%nlon
@@ -462,12 +451,7 @@ subroutine hist_print(h,rdwr,diskfile)
       write(6,"(2x,'saber_ncfile = ',a)") trim(h%saber_ncfile)
       write(6,"(2x,'tidi_ncfile  = ',a)") trim(h%tidi_ncfile)
       write(6,"(2x,'ctmt_ncfile  = ',a)") trim(h%ctmt_ncfile)
-      write(6,"(2x,'hme_ncfile  = ',a)") trim(h%hme_ncfile)
-      write(6,"(2x,'tgcmlb_ncfile  = ',a)")    trim(h%tgcmlb_ncfile)
       write(6,"(2x,'bgrddata_ncfile = ',a)") trim(h%bgrddata_ncfile)
-      
-      write(6,"(2x,'amienh_ncfile  = ',a)") trim(h%amienh_ncfile)
-      write(6,"(2x,'amiesh_ncfile  = ',a)") trim(h%amiesh_ncfile)
 
       write(6,"(2x,'tuv_lbc_intop=',i3,' (if 1, then lbc of t,u,v',
      |  ' are stored in top k slot (old histories))')") h%tuv_lbc_intop
@@ -475,8 +459,8 @@ subroutine hist_print(h,rdwr,diskfile)
      |  'level)')") h%lbc
       write(6,"(2x,'ntask_mpi    =',i4,' (number of MPI tasks)')")
      |  h%ntask_mpi
-      write(6,"(2x,'coupled_cmit =',i4,' (1 if coupled with CISM/CMIT,', 
-     |  ' 0 otherwise)')") h%coupled_cmit
+      write(6,"(2x,'coupled_mage =',i4,' (1 if coupled with MAGE,', 
+     |  ' 0 otherwise)')") h%coupled_mage
 !
       if (associated(h%fnames)) then
         write(6,"('  There are ',i3,' fields on this history,',
@@ -496,27 +480,25 @@ subroutine hist_init
 ! user inputs from the input module:
 ! (this routine is called from init module after input validation)
 !
-      use params_module,only: mxseries,mxhvols
-      use input_module,only: start,stop,step,source,output,mkhvols,
-     |  hist,secsource,secstart,secstop,sechist,secout,
-     |  secflds
+      use params_module,only: mxseries
+      use input_module,only: pristart,pristop,step,source,
+     |  secsource,secstart,secstop,sechist,secflds
 !
 ! Local:
-      integer :: nh,nsteps,i,secs_hist,nsteps_hist,n
+      integer :: i,n
       integer(kind=8) :: secs_start(mxseries),secs_stop(mxseries)
-      character(len=80) :: hvols(mxhvols)
 !
 ! External:
       integer(kind=8),external :: mtime_to_nsec
       integer,external :: numfiles
 !
 ! Number of primary history time series:
-      nseries_prim = (size(start)-count(start==ispval))/3
+      nseries_prim = (size(pristart)-count(pristart==ispval))/4
 !
       secs_start(:) = 0
       do i=1,nseries_prim
-        secs_start(i) = mtime_to_nsec(start(:,i))
-        secs_stop(i)  = mtime_to_nsec(stop(:,i))
+        secs_start(i) = mtime_to_nsec(pristart(:,i))
+        secs_stop(i)  = mtime_to_nsec(pristop(:,i))
       enddo
 !
 ! Total number of timesteps this run:
@@ -555,7 +537,7 @@ subroutine hist_init
      |    size(secflds) -count(len_trim(secflds)==0)
 !
 ! Number of secondary history time series:
-      nseries_sech = (size(secstart)-count(secstart==ispval))/3
+      nseries_sech = (size(secstart)-count(secstart==ispval))/4
 !
 ! isechist: secondary histories flag:
 ! If no secondary history inputs were read, return.
@@ -599,7 +581,7 @@ subroutine copyhist(hsrc,hdest)
       endif
       hdest%fnames = hsrc%fnames
       write(6,"('Copied history structure at modeltime ',
-     |  3i4)") hdest%modeltime(1:3)
+     |  4i4)") hdest%modeltime
       end subroutine copyhist
 !-------------------------------------------------------------------
       end module hist_module
diff --git a/src/imf.F b/src/imf.F
index 34685cc..e60c521 100644
--- a/src/imf.F
+++ b/src/imf.F
@@ -9,32 +9,29 @@ module imf_module
       implicit none
 #include <netcdf.inc>
 !
-! All are allocated ndata except for f107d and f107a, which
-! are allocated ndays.
+! All are allocated ndata.
 ! 
       integer :: ndata,ndays
       real :: missing
       integer,dimension(:),target,allocatable :: days
       real,dimension(:),target,allocatable :: date,
-     |  uttime,yfrac,bx,by,bz,swvel,swden,kp,f107d,f107a
+     |  uttime,yfrac,bx,by,bz,swvel,swden
 
       contains
 !-----------------------------------------------------------------------
-      subroutine getimf(iyear,iday,iutsec,istep,iprint)
+      subroutine getimf(iyear,iday,iutsec,istep)
       use input_module,only: bximf,byimf,bzimf,swvel_inp=>swvel,
-     |  swden_inp=>swden,f107_inp=>f107,f107a_inp=>f107a,
-     |  rd_f107,rd_f107a,rd_bximf,rd_byimf,rd_bzimf,rd_swvel,rd_swden
+     |  swden_inp=>swden,rd_bximf,rd_byimf,rd_bzimf,rd_swvel,rd_swden
       use params_module,only: spval
       implicit none
 !
 ! Args:
-      integer,intent(in) :: iyear,iday,iutsec,istep,iprint
+      integer,intent(in) :: iyear,iday,iutsec,istep
 !
 ! Local:
       real :: model_uttime,model_yfrac,model_dfrac,ut
       integer :: index,index1,index2,i,iyyyy4
-      real :: model_bx,model_by,model_bz,model_swvel,model_swden,
-     |  model_kp,model_f107d,model_f107a
+      real :: model_bx,model_by,model_bz,model_swvel,model_swden
       integer(kind=8) :: iyearday,iyyyy,iddd
 !
 ! External:
@@ -138,9 +135,6 @@ subroutine getimf(iyear,iday,iutsec,istep,iprint)
 ! swden
         call finterpb(swden(index1),swden(index2),model_swden,1,
      |    yfrac(index1),yfrac(index2),model_yfrac)
-! kp
-        call finterpb(kp(index1),kp(index2),model_kp,1,
-     |    yfrac(index1),yfrac(index2),model_yfrac)
       endif
 !
 ! Get index to requested day for solar flux:
@@ -152,19 +146,6 @@ subroutine getimf(iyear,iday,iutsec,istep,iprint)
 !    |     model_dfrac,ndays,days(1),days(ndays)
 !        call shutdown('getimf: IMF data not available')
 !     endif
-!     index1=index
-!     index2=index+1
-!     if (index2 <= ndays) then
-!
-! Interpolate solar flux:
-!
-! f107d
-!       call finterpb(f107d(index1),f107d(index2),model_f107d,1,
-!    |    real(days(index1)),real(days(index2)),model_dfrac)
-! f107a
-!       call finterpb(f107a(index1),f107a(index2),model_f107a,1,
-!    |    real(days(index1)),real(days(index2)),model_dfrac)
-!     endif
 !
 ! Transfer new interpolated data to model variables:
 ! (input has already determined that at least one of these
@@ -175,14 +156,11 @@ subroutine getimf(iyear,iday,iutsec,istep,iprint)
       if (rd_bzimf == spval) bzimf = model_bz
       if (rd_swvel == spval) swvel_inp = model_swvel
       if (rd_swden == spval) swden_inp = model_swden
-!     if (rd_f107  == spval) f107_inp  = model_f107d
-!     if (rd_f107a == spval) f107a_inp = model_f107a
 
-!     write(6,"('getimf: data interpolated to modeltime ',3i4,':')")
-!    |  modeltime(1:3)
+!     write(6,"('getimf: data interpolated to modeltime ',4i4,':')")
+!    |  modeltime
 !     write(6,"('  bximf,byimf,bzimf = ',3f8.2,' swvel=',f8.2,
-!    |  ' swden=',f8.2,' f107d,f107a=',2f8.2)") bximf,byimf,bzimf,
-!    |  swvel_inp,swden_inp,f107_inp,f107a_inp
+!    |  ' swden=',f8.2)") bximf,byimf,bzimf,swvel_inp,swden_inp
 
       end subroutine getimf
 !-----------------------------------------------------------------------
@@ -194,9 +172,8 @@ subroutine rdimf(istep)
       integer :: istat,ncid,istep
       character(len=240) :: char240
       character(len=mxlen_filename) :: dskfile
-      integer :: id_ndata,id_ndays,idv_date,idv_uttime,idv_yfrac,
-     |  idv_bx,idv_by,idv_bz,idv_swvel,idv_swden,idv_kp,
-     |  idv_f107d,idv_f107a,idv_missing,idv_days
+      integer :: id_ndata,idv_date,
+     |  idv_bx,idv_by,idv_bz,idv_swvel,idv_swden
       real :: fmin,fmax
 !
       dskfile = ' '
@@ -283,31 +260,13 @@ subroutine rdimf(istep)
       call fminmaxspv(swden,ndata,fmin,fmax,missing)
       write(6,"('rdimf: swden min,max=',2f8.2)") fmin,fmax
 
-! kp:
-!     istat = nf_inq_varid(ncid,'kp',idv_kp)
-!     istat = nf_get_var_double(ncid,idv_kp,kp)
-!     call fminmaxspv(kp,ndata,fmin,fmax,missing)
-!     write(6,"('rdimf: kp min,max=',2f8.2)") fmin,fmax
-
-! f107d:
-!     istat = nf_inq_varid(ncid,'f107d',idv_f107d)
-!     istat = nf_get_var_double(ncid,idv_f107d,f107d)
-!     call fminmaxspv(f107d,ndays,fmin,fmax,missing)
-!     write(6,"('rdimf: f107d min,max=',2f8.2)") fmin,fmax
-
-! f107a:
-!     istat = nf_inq_varid(ncid,'f107a',idv_f107a)
-!     istat = nf_get_var_double(ncid,idv_f107a,f107a)
-!     call fminmaxspv(f107a,ndays,fmin,fmax,missing)
-!     write(6,"('rdimf: f107a min,max=',2f8.2)") fmin,fmax
-
       write(6,"(72('-'),/)")
       end subroutine rdimf
 !-----------------------------------------------------------------------
       subroutine alloc_imf
 
 ! real,dimension(:),target,allocatable ::
-!   uttime,yfrac,bx,by,bz,swvel,swden,kp,f107d,f107a
+!   uttime,yfrac,bx,by,bz,swvel,swden
 
       integer :: istat
       allocate(date(ndata),stat=istat)
@@ -318,11 +277,8 @@ subroutine alloc_imf
       allocate(bz(ndata),stat=istat)
       allocate(swvel(ndata),stat=istat)
       allocate(swden(ndata),stat=istat)
-      allocate(kp(ndata),stat=istat)
 
 !     allocate(days(ndays),stat=istat)
-!     allocate(f107d(ndays),stat=istat)
-!     allocate(f107a(ndays),stat=istat)
 
       end subroutine alloc_imf
 !-----------------------------------------------------------------------
@@ -332,7 +288,7 @@ subroutine printmissing(i0,i1,name)
 !
       write(6,"(/,'>>> getimf: Encountered missing ',a,' in imf',
      |  ' data file (missing=',e12.4,'):')") trim(name),missing
-      write(6,"('mtime=',3i4)") modeltime(1:3)
+      write(6,"('mtime=',4i4)") modeltime
       write(6,"('imf data file = ',a)") trim(imf_ncfile)
       write(6,"('index1=',i8,' date(index1)=',f12.4,' uttime(index1)=',
      |  f8.3)") i0,date(i0),uttime(i0)
diff --git a/src/init.F b/src/init.F
index 36e0c37..9b85bf4 100644
--- a/src/init.F
+++ b/src/init.F
@@ -13,7 +13,7 @@ module init_module
       integer :: istep     ! time step index
 !
 ! iter (iteration number): the number of timesteps (at the current 
-! step length) from model time 0,0,0 to current model time (day,hour,min).
+! step length) from model time 0,0,0,0 to current model time (day,hour,min,sec).
 !
       integer :: iter
 !
@@ -25,8 +25,8 @@ module init_module
       integer :: iday      ! Current model calendar day
       real :: uthr         ! Current ut (decimal hours)
       integer :: 
-     |  start_mtime(3),    ! starting model time (day,hr,min)
-     |  stop_mtime(3)      ! stop model time (day,hr,min)
+     |  start_mtime(4),    ! starting model time (day,hr,min,sec)
+     |  stop_mtime(4)      ! stop model time (day,hr,min,sec)
 !
       integer :: igswm_mi_di  ! 0/1 flag for GSWM data diurnal tide
       integer :: igswm_mi_sdi ! 0/1 flag for GSWM data semidiurnal tide
@@ -64,21 +64,22 @@ subroutine init
 ! Initialize (this is called by tgcm.F after input):
 ! Some init also takes place in inp_model (input_mod.f)
 !
-      use input_module,only: start,stop,step,secflds,
-     |  start_year,start_day,calendar_advance,gpi_ncfile,
+      use input_module,only: pristart,pristop,step,
+     |  start_year,start_day,calendar_advance,
      |  gswm_mi_di_ncfile,ctmt_ncfile,
      |  gswm_mi_sdi_ncfile,gswm_nm_di_ncfile,gswm_nm_sdi_ncfile,
-     |  mxhist_prim,mxhist_sech,output,secout,mkhvols,source_start,
-     |  see_ncfile,bgrddata_ncfile
+     |  mxhist_prim,mxhist_sech,mkhvols,
+     |  see_ncfile,bgrddata_ncfile,calc_helium,saps
       use hist_module,only: hist_init,isechist,nstep,nhist_total,
      |  nsech_total,nsource,nseries_prim,nseries_sech,nfiles_prim,
      |  nfiles_sech,nfsech
       use fields_module,only: init_4d,init_3d,init_lbc,init_fsech,
      |  fsechist
       use cons_module,only: pi,init_cons
-      use filter_module,only: trigs,ntrigs,ifax
-      use mpi_module,only: lon0,lon1,lat0,lat1,mytid
+      use mpi_module,only: lon0,lon1,lat0,lat1
       use soldata_module,only: rd_soldata
+      use he_coefs_module,only: init_he_coefs,nlon_he,trigs,ntrigs,ifax
+      use subaur_module,only: init_saps
 !
 ! External:
       integer,external :: mtime_to_nstep
@@ -87,13 +88,6 @@ subroutine init
       real :: theta0
       integer :: i,iprintf
 !
-#if (MPI == 0)
-      lon0 = 1
-      lon1 = nlonp4
-      lat0 = 1
-      lat1 = nlat
-#endif
-!
 ! Initialize derived constants (init_cons is in cons_module):
       call init_cons
 !
@@ -115,11 +109,11 @@ subroutine init
 ! Get run date (current date and time):
       call datetime(rundate,runtime)
 !
-! Iter is the number of time steps from 0,0,0 to the current model
+! Iter is the number of time steps from 0,0,0,0 to the current model
 ! time, using the current step length. Iter is incremented once per 
 ! timestep in advnce.
 !
-      iter = mtime_to_nstep(start(:,1),step)
+      iter = mtime_to_nstep(pristart(:,1),step)
 !
 ! iyear and iday are current calendar year and day.
 ! If calendar_advance > 0, the model is advanced in calendar time, 
@@ -208,25 +202,33 @@ subroutine init
 ! Initialize non-input history variables for beginning of run:
       call hist_init
 !
+! Read Helium coefficients
+      if (calc_helium == 1) then
+        call init_he_coefs
+!
 ! setfft calls set99 for fft init. This call returns trigs and ifax,
-! in filter_module.F.
+! in he_coefs_module.F.
+!
+        call setfft(trigs,ifax,ntrigs,nlon_he)
+      endif
 !
-      call setfft(trigs,ifax,ntrigs,nlon)
+! Initialize SAPS, read in data
+      if (saps) call init_saps
 !
 ! Init starting model time:
-      start_mtime = start(:,1)
-      stop_mtime = stop(:,1)
+      start_mtime = pristart(:,1)
+      stop_mtime = pristop(:,1)
 !
 ! Initialize field structures:
       iprintf = 0
-      call init_4d(lon0,lon1,lat0,lat1,mytid,iprintf)
-      call init_3d(lon0,lon1,lat0,lat1,mytid,iprintf)
+      call init_4d(lon0,lon1,lat0,lat1,iprintf)
+      call init_3d(iprintf)
 !
 ! Initialize secondary history fields:
       if (isechist > 0) call init_fsech ! fields.F
 !
 ! Allocate lbc for t,u,v:
-      call init_lbc(lon0,lon1,lat0,lat1)
+      call init_lbc
 !
 ! Initialize sun's declination:
       sundec=atan(tan(23.5*pi/180.)*sin(2.*pi*float(iday-80)/365.))
@@ -267,7 +269,7 @@ subroutine init
      |    '(Starting year of initial run)')") start_year
         write(6,"('  start_day  = ',i6,5x,
      |    '(Starting day of initial run)')") start_day
-        write(6,"('  start_mtime= ',i4,2i3,1x,
+        write(6,"('  start_mtime= ',i4,3i3,1x,
      |    '(Starting mtime of initial run)')") start_mtime
       endif
 !
diff --git a/src/input.F b/src/input.F
index a2e75e3..4ebe4a1 100644
--- a/src/input.F
+++ b/src/input.F
@@ -1,4 +1,3 @@
-#include <defs.h>
 !
       module input_module
 !
@@ -47,6 +46,7 @@ module input_module
      |  calendar_advance,! if > 0, advance calendar day from start_day
      |  mxday,           ! calendar day (0-mxday)
      |  step,            ! model time step (integer seconds)
+     |  nstep_sub,       ! number of O+ sub-cyling per model time step
      |  eddy_dif,	 ! 0/1 flag for DOY dependent eddy diffusion (difk, dift, xmue)
      |  dynamo,          ! 0/1 flag for dynamo
      |  current_pg,      ! 0/1 flag to add current due to plasma pressure and gravity to rhs (default 1)
@@ -81,14 +81,16 @@ module input_module
      |  swden,           ! Solar wind density in #/cm3
      |  al,              ! AL lower magnetic auroral activity index in nT
      |  kp               ! Kp index
-      real,dimension(4,mxind_time) :: power_time,ctpoten_time,
+      real,dimension(5,mxind_time) :: power_time,ctpoten_time,
      |  bximf_time,byimf_time,bzimf_time,swvel_time,swden_time,al_time,
      |  kp_time,f107_time,f107a_time
       integer :: 
      |  ntimes_ctpoten,ntimes_power,ntimes_bximf,ntimes_byimf,
      |  ntimes_bzimf,ntimes_swden,ntimes_swvel,ntimes_al,ntimes_kp,
      |  ntimes_f107,ntimes_f107a
-      logical :: aluse   ! logical to use AL in Weimer 2001 model or not
+      logical :: aluse,  ! logical to use AL in Weimer 2001 model or not
+     |  et,              ! logical to calculate electron turbulent heating
+     |  saps             ! logical to include empirical SAPS
 !
 ! Parameters as read from namelist:
       real :: rd_power,rd_ctpoten,rd_f107,rd_f107a,rd_bximf,rd_byimf,
@@ -126,8 +128,10 @@ module input_module
      |  tidi_ncfile,        ! TIDI data (U,V)
      |  ctmt_ncfile,        ! CTMT tidal data (T,U,V,Z)
      |  bgrddata_ncfile,    ! background data (T,U,V,Z; V=0)
-     |  amienh_ncfile,      ! AMIE NH    
-     |  amiesh_ncfile       ! AMIE SH    
+     |  he_coefs_ncfile,    ! coefficients of Helium flux at upper boundary
+     |  vedata,             ! SAPS ve data file
+     |  vndata,             ! SAPS vn data file
+     |  vvdata              ! SAPS vv data file
 
 !     integer,parameter :: ngpivars = 4
 !     real :: gpi_vars(ngpivars) ! f107,f107a,power,ctpoten
@@ -139,10 +143,10 @@ module input_module
      |  source,            ! file containing source history (optional)
      |  output(mxhvols)    ! output file(s) (required)
       integer ::
-     |  source_start(3),   ! source history model time
-     |  start(3,mxseries), ! primary history model start time(s)
-     |  stop(3,mxseries),  ! primary history model stop time(s)
-     |  hist(3,mxseries),  ! primary history disk write frequency
+     |  source_start(4),   ! source history model time
+     |  pristart(4,mxseries), ! primary history model start time(s)
+     |  pristop(4,mxseries),  ! primary history model stop time(s)
+     |  prihist(4,mxseries),  ! primary history disk write frequency
      |  mxhist_prim,       ! max number of histories per primary file
      |  noutput            ! number of output files given
 !
@@ -153,16 +157,16 @@ module input_module
       character(len=16) ::
      |  secflds(mxfsech)      ! secondary history output fields
       integer ::
-     |  secstart(3,mxseries), ! secondary history model start time(s)
-     |  secstop(3,mxseries),  ! secondary history model stop time(s)
-     |  sechist(3,mxseries),  ! secondary history disk write frequency
+     |  secstart(4,mxseries), ! secondary history model start time(s)
+     |  secstop(4,mxseries),  ! secondary history model stop time(s)
+     |  sechist(4,mxseries),  ! secondary history disk write frequency
      |  mxhist_sech,          ! max number of histories per secondary file
      |  sech_nbyte            ! 4 or 8: write real or double values to secondary file
 !
 ! Namelist for read:
       namelist/tgcm_input/ 
-     |  label,step,
-     |  source,source_start,output,start,stop,hist,
+     |  label,step,nstep_sub,
+     |  source,source_start,output,pristart,pristop,prihist,
      |  secout,secstart,secstop,sechist,secflds,
      |  potential_model,eddy_dif,dynamo,tide,tide2,tide3m3,
      |  f107,f107a,power,ctpoten,bximf,byimf,bzimf,swvel,swden,al,
@@ -175,7 +179,8 @@ module input_module
      |  imf_ncfile,saber_ncfile,tidi_ncfile,sech_nbyte,f107_time,
      |  f107a_time,hpss_path,current_pg,current_kq,calc_helium,
      |  enforce_opfloor,bgrddata_ncfile,ctmt_ncfile,opdiffcap,
-     |  amienh,amiesh,amie_ibkg
+     |  amienh,amiesh,amie_ibkg,he_coefs_ncfile,et,saps,
+     |  vedata,vndata,vvdata
 !
 ! List of fields that are always written to secondary histories:
       character(len=16) :: secflds_mandatory(6) =
@@ -192,12 +197,12 @@ module input_module
 !
       contains
 !-------------------------------------------------------------------
-      subroutine input(mytid,ntask)
+      subroutine input(ntask)
 !
 ! Read and validate user namelist input (called from main tgcm.F).
 !      
 ! Args:
-      integer,intent(in) :: mytid,ntask
+      integer,intent(in) :: ntask
 !
 ! Initialize:
       call inp_init
@@ -254,15 +259,17 @@ subroutine inp_init
       tidi_ncfile = ' '       ! TIDI data file
       bgrddata_ncfile = ' '   ! Background data file
       ctmt_ncfile = ' '       ! CTMT data file for lbc tides 
-      
-      amienh_ncfile = ' '       ! AMIE NH data file
-      amiesh_ncfile = ' '       ! AMIE NH data file
+      he_coefs_ncfile = ' '   ! Helium coefficients
+      vedata = ' '
+      vndata = ' '
+      vvdata = ' '
 !
       start_day  = ispval
       start_year = ispval
       calendar_advance = ispval
 !
       step    = ispval
+      nstep_sub = ispval
       eddy_dif = ispval  ! new as of 4/10
       dynamo  = ispval
       current_pg = 1     ! on by default
@@ -280,6 +287,8 @@ subroutine inp_init
       calc_helium = ispval
       enforce_opfloor = ispval
       opdiffcap = spval
+      et = .false.
+      saps = .false.
 
       f107    = spval
       f107a   = spval
@@ -309,9 +318,9 @@ subroutine inp_init
       source = ' '
       output = ' '
       source_start(:) = ispval
-      start(:,:) = ispval
-      stop(:,:)  = ispval
-      hist(:,:)  = ispval
+      pristart(:,:) = ispval
+      pristop(:,:)  = ispval
+      prihist(:,:)  = ispval
       mxhist_prim = 10 ! default max number of histories per primary file
       if (dlat == 2.5) mxhist_prim = 4 ! 2.5 degree horizontal resolution 
 !
@@ -334,7 +343,6 @@ subroutine inp_model(ntask)
 ! Local:
       integer :: i,n,ier
       character(len=16) :: logname
-      real :: rday,rhour,rmin,rval
 !
 ! Get login name:
       logname = ' '
@@ -470,7 +478,6 @@ subroutine inp_model(ntask)
       endif
 !
 ! Number of tasks in lat,lon dimensions (ntask_lat*ntask_lon must == ntask):
-#ifdef MPI
       if (ntask_lat==ispval.or.ntask_lon==ispval) then
 !
 ! Choose number of tasks in lon,lat dimensions:
@@ -506,7 +513,6 @@ subroutine inp_model(ntask)
      |    ' ntask_maglat=',i3,' (ntask=',i3,')')")
      |    ntask_maglon,ntask_maglat,ntask
       endif
-#endif
 !
 ! ncep data file:
       if (len_trim(ncep_ncfile) > 0) call expand_path(ncep_ncfile)
@@ -585,6 +591,24 @@ subroutine inp_model(ntask)
       endif
       if (calc_helium > 0) calc_helium=1
 !
+! Set default ncfile for Helium coefficients
+      if (len_trim(he_coefs_ncfile) == 0) then
+        if (nlat == 36) then
+          he_coefs_ncfile = '$TGCMDATA/he_coefs_sres.nc'
+        else
+          he_coefs_ncfile = '$TGCMDATA/he_coefs_dres.nc'
+        endif
+      endif
+      call expand_path(he_coefs_ncfile)
+!
+! SAPS data files:
+      if (len_trim(vedata) == 0) vedata = '$TGCMDATA/ve.dat'
+      call expand_path(vedata)
+      if (len_trim(vndata) == 0) vndata = '$TGCMDATA/vn.dat'
+      call expand_path(vndata)
+      if (len_trim(vvdata) == 0) vvdata = '$TGCMDATA/vv.dat'
+      call expand_path(vvdata)
+!
 ! If enforce_opfloor > 0, then enforce O+ floor (see oplus.F)
 !
       if (enforce_opfloor==ispval.or.enforce_opfloor > 0) then
@@ -622,8 +646,6 @@ subroutine inp_model(ntask)
         write(6,"('Will read AMIE data inputs')")
         iamie = 1
         potential_model = 'AMIE'
-	amienh_ncfile = trim(amienh)
-	amiesh_ncfile = trim(amiesh)
       endif
 !
 ! Save certain params as originally read by namelist read:
@@ -720,9 +742,8 @@ subroutine inp_primhist
 ! Validate primary history inputs:
 !
 ! Local:
-      integer :: n,i,ii,nhists,nsteps,nsteps_hist(mxseries),
-     |  nstarts,nstops,nstep_total,nsrc,
-     |  nout,nhists_total,modeltime(4),nfiles_prim
+      integer :: n,i,nhists,nsteps,nsteps_hist(mxseries),
+     |  nstarts,nstops,nstep_total,nsrc,nout,nhists_total,nfiles_prim
       integer(kind=8) :: step8,
      |  nsec_start(mxseries),nsec_stop(mxseries),
      |  nsec_hist (mxseries)
@@ -737,38 +758,38 @@ subroutine inp_primhist
       step8 = step
 !
 ! Model start time(s):
-      n = size(start)-count(start==ispval)
-      if (mod(n,3) /= 0) then
-        write(6,"(/,'>>> INPUT: START must be given as series of ',
-     |    '3-integer triplet times',/,11x,'(day,hr,min).',/)")
-        call shutdown('START')
+      n = size(pristart)-count(pristart==ispval)
+      if (mod(n,4) /= 0) then
+        write(6,"(/,'>>> INPUT: PRISTART must be given as series of ',
+     |    '4-integer triplet times',/,11x,'(day,hr,min,sec).',/)")
+        call shutdown('PRISTART')
       endif 
-      nstarts = n/3 ! number of start times given
+      nstarts = n/4 ! number of start times given
       if (nstarts < 1 .or. nstarts > mxseries) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i3,
-     |    ' 3-integer START times are allowed.',/)") mxseries
-        call shutdown('START')
+     |    ' 4-integer PRISTART times are allowed.',/)") mxseries
+        call shutdown('PRISTART')
       endif
       do i=1,nstarts
-        call validate_mtime(start(:,i),mxday,'START')
+        call validate_mtime(pristart(:,i),mxday,'PRISTART')
       enddo
 !
 ! Start time(s) must be multiple of step, and must increase: 
       nsec_start(:) = 0
       do i=1,nstarts
-        nsec_start(i) = mtime_to_nsec(start(:,i))
+        nsec_start(i) = mtime_to_nsec(pristart(:,i))
         if (mod(nsec_start(i),step8) /= 0) then
-          write(6,"(/,'>>> INPUT: START time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'START=',3i4,' STEP=',i4,/)")
-     |      i,start(:,i),step
-          call shutdown('START')
+          write(6,"(/,'>>> INPUT: PRISTART time ',i1,' must be a ',
+     |      'multiple of step:',/,11x,'PRISTART=',4i4,' STEP=',i4,/)")
+     |      i,pristart(:,i),step
+          call shutdown('PRISTART')
         endif
         if (i > 1) then
           if (nsec_start(i-1) > nsec_start(i)) then
-            write(6,"(/,'>>> INPUT: START times must increase.',/,
-     |        11x,'START ',i2,' = ',3i4,' START ',i2,' = ',3i4,
-     |        /)") i-1,start(:,i-1),i,start(:,i)
-            call shutdown('START')
+            write(6,"(/,'>>> INPUT: PRISTART times must increase.',/,
+     |        11x,'PRISTART ',i2,' = ',4i4,' PRISTART ',i2,' = ',4i4,
+     |        /)") i-1,pristart(:,i-1),i,pristart(:,i)
+            call shutdown('PRISTART')
           endif
         endif
       enddo 
@@ -777,51 +798,51 @@ subroutine inp_primhist
 !   day must be the same as the starting calendar day.
 !
       if (calendar_advance > 0) then
-        if (start(1,1) /= start_day) then
+        if (pristart(1,1) /= start_day) then
           write(6,"(/,'>>> INPUT: Starting calendar day START_DAY =',
      |      i4)") start_day
-          write(6,"(11x,'Starting model day START(1)=',i4)")
-     |      start(1,1)
+          write(6,"(11x,'Starting model day PRISTART(1)=',i4)")
+     |      pristart(1,1)
           write(6,"(11x,'CALENDAR_ADVANCE = ',i2)") calendar_advance
           write(6,"('If the model is to be advanced in calendar time,',
      |      ' the starting model day',/,'  must be equal to the ',
      |      'starting calendar day.',/)")
-          call shutdown('START')
+          call shutdown('PRISTART')
         endif
       endif
 !
 ! Stop time(s):
-      n = size(stop)-count(stop==ispval)
-      if (mod(n,3) /= 0) then
-        write(6,"(/,'>>> INPUT: STOP must be given as series of ',
-     |    '3-integer triplet times (day,hr,min).',/)")
-        call shutdown('STOP')
+      n = size(pristop)-count(pristop==ispval)
+      if (mod(n,4) /= 0) then
+        write(6,"(/,'>>> INPUT: PRISTOP must be given as series of ',
+     |    '4-integer triplet times (day,hr,min,sec).',/)")
+        call shutdown('PRISTOP')
       endif 
-      nstops = n/3 ! number of stop times given
+      nstops = n/4 ! number of stop times given
       if (nstops < 1 .or. nstops > mxseries) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i2,
-     |    ' 3-integer STOP times are allowed.',/)") mxseries
-        call shutdown('STOP')
+     |    ' 4-integer PRISTOP times are allowed.',/)") mxseries
+        call shutdown('PRISTOP')
       endif
       do i=1,nstops
-        call validate_mtime(stop(:,i),mxday,'STOP')
+        call validate_mtime(pristop(:,i),mxday,'PRISTOP')
       enddo
 !
 ! Stop time(s) must be multiple of step, and must increase: 
       nsec_stop(:) = 0
       do i=1,nstops
-        nsec_stop(i) = mtime_to_nsec(stop(:,i))
+        nsec_stop(i) = mtime_to_nsec(pristop(:,i))
         if (mod(nsec_stop(i),step8) /= 0) then
-          write(6,"(/,'>>> INPUT: STOP time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'STOP=',3i4,' STEP=',i4,/)")
-     |      i,stop(:,i),step
-          call shutdown('STOP')
+          write(6,"(/,'>>> INPUT: PRISTOP time ',i1,' must be a ',
+     |      'multiple of step:',/,11x,'PRISTOP=',4i4,' STEP=',i4,/)")
+     |      i,pristop(:,i),step
+          call shutdown('PRISTOP')
         endif
         if (i > 1) then
           if (nsec_stop(i-1) > nsec_stop(i)) then
-            write(6,"(/,'>>> INPUT: STOP times must increase.',/,
-     |        11x,'STOP 1 =',3i4,' STOP 2 =',3i4,/)") stop
-            call shutdown('STOP')
+            write(6,"(/,'>>> INPUT: PRISTOP times must increase.',/,
+     |        11x,'PRISTOP 1 =',4i4,' PRISTOP 2 =',4i4,/)") pristop
+            call shutdown('PRISTOP')
           endif
         endif
       enddo 
@@ -830,53 +851,53 @@ subroutine inp_primhist
 ! Note: this module does not cross year boundaries in a single run.
 !       To cross a year boundary, make a run up to day 365 or 366,
 !       then use that file as the source (source_start=365 or 366), 
-!       for a new run with START=1,0,0. (note mxday==366)
+!       for a new run with PRISTART=1,0,0,0. (note mxday==366)
 !
       if (nsec_start(1)==nsec_stop(1)) then
-        write(6,"(/,'NOTE input: start(1)==stop(1): no time steps',
-     |    ' will be taken this run.')")
+        write(6,"(/,'NOTE input: pristart(1)==pristop(1): ',
+     |    'no time steps will be taken this run.')")
       else
         do i=1,nstops
           if (nsec_start(i) >= nsec_stop(i)) then
-            write(6,"(/,'>>> INPUT: STOP time ',i1,' must be > ',
-     |        'START time',/,11x,'STOP time ',i1,' = ',3i4,
-     |        ' START =',3i4,/)") i,i,stop(:,i),start(:,i)
-            call shutdown('START/STOP')
+            write(6,"(/,'>>> INPUT: PRISTOP time ',i1,' must be > ',
+     |        'PRISTART time',/,11x,'PRISTOP time ',i1,' = ',4i4,
+     |        ' PRISTART =',4i4,/)") i,i,pristop(:,i),pristart(:,i)
+            call shutdown('PRISTART/PRISTOP')
           endif
         enddo
       endif
 !
 ! History write frequencies:
-      n = size(hist)-count(hist==ispval)
-      if (mod(n,3) /= 0) then
-        write(6,"(/,'>>> INPUT: HIST must be given as series of ',
-     |    '3-integer triplet times (day,hr,min).',/)")
-        call shutdown('HIST')
+      n = size(prihist)-count(prihist==ispval)
+      if (mod(n,4) /= 0) then
+        write(6,"(/,'>>> INPUT: PRIHIST must be given as series of ',
+     |    '4-integer triplet times (day,hr,min,sec).',/)")
+        call shutdown('PRIHIST')
       endif 
-      nhists = n/3 ! number of hist times given
+      nhists = n/4 ! number of hist times given
       if (nhists < 1 .or. nhists > mxseries) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i2,
-     |    ' 3-integer HIST times are allowed.',/)") mxseries
-        call shutdown('HIST')
+     |    ' 4-integer PRIHIST times are allowed.',/)") mxseries
+        call shutdown('PRIHIST')
       endif
       do i=1,nhists
-        call validate_mtime(hist(:,i),mxday,'HIST')
+        call validate_mtime(prihist(:,i),mxday,'PRIHIST')
       enddo
 !
 ! History write frequencies must be multiple of step: 
       nsec_hist(:) = 0
       do i=1,nhists
-        nsec_hist(i) = mtime_to_nsec(hist(:,i))
+        nsec_hist(i) = mtime_to_nsec(prihist(:,i))
         if (nsec_hist(i)==0) then
-          write(6,"(/,'>>> INPUT: HIST write frequency ',i1,
+          write(6,"(/,'>>> INPUT: PRIHIST write frequency ',i1,
      |      ' must be > 0',/)") i
-          call shutdown('HIST')
+          call shutdown('PRIHIST')
         endif
         if (mod(nsec_hist(i),step8) /= 0) then
-          write(6,"(/,'>>> INPUT: HIST time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'HIST=',3i4,' STEP=',i4,/)")
-     |      i,hist(:,i),step
-          call shutdown('HIST')
+          write(6,"(/,'>>> INPUT: PRIHIST time ',i1,' must be a ',
+     |      'multiple of step:',/,11x,'PRIHIST=',4i4,' STEP=',i4,/)")
+     |      i,prihist(:,i),step
+          call shutdown('PRIHIST')
         endif
       enddo 
 !
@@ -884,13 +905,13 @@ subroutine inp_primhist
       if (nstarts /= nstops .or. nstarts /= nhists .or. 
      |    nstops  /= nhists) then
         write(6,"(/,'>>> INPUT: must provide same number of times ',
-     |    'for',/,11x,'START, STOP, and HIST.')")
+     |    'for',/,11x,'PRISTART, PRISTOP, and PRIHIST.')")
         write(6,"(11x,'nstarts=',i3,' nstops=',i3,' nhists=',i3)")
      |    nstarts,nstops,nhists
         call shutdown('ntimes')
       endif
 !
-! Number of steps in each time series must be a multiple of HIST:
+! Number of steps in each time series must be a multiple of PRIHIST:
       do i=1,nstarts
         if (i==1) then
           nsteps = (nsec_stop(i)-nsec_start(i))/step
@@ -901,13 +922,13 @@ subroutine inp_primhist
         if (mod(nsteps,nsteps_hist(i)) /= 0) then
           write(6,"(/,'>>> INPUT: number of steps in time series ',
      |      i1,' must be multiple of the ',/,11x,'number of steps',
-     |      ' in HIST ',i1,'.')") i,i
+     |      ' in PRIHIST ',i1,'.')") i,i
           write(6,"(11x,'nsteps ',i1,' = ',i6,' nsteps_hist ',i1,
      |      ' = ',i3)") i,nsteps,i,nsteps_hist(i)
-          write(6,"(11x,'START',i1,' = ',3i4,' STOP',i1,' = ',3i4,
-     |      ' HIST',i1,' = ',3i4,/)") i,start(:,i),i,stop(:,i),
-     |      i,hist(:,i)
-          call shutdown('HIST')
+          write(6,"(11x,'PRISTART',i1,' = ',4i4,
+     |      ' PRISTOP',i1,' = ',4i4,' PRIHIST',i1,' = ',4i4,/)")
+     |      i,pristart(:,i),i,pristop(:,i),i,prihist(:,i)
+          call shutdown('PRIHIST')
         endif
       enddo ! i=1,nstarts
 !
@@ -917,11 +938,11 @@ subroutine inp_primhist
           if (nsec_start(i) < nsec_stop(i-1)) then
             write(6,"(/,'>>> INPUT: primary history time series',
      |        ' cannot overlap.')")
-            write(6,"(11x,'For series ',i2,': START=',3i4,
-     |        ' STOP=',3i4)") i-1,start(:,i-1),start(:,i-1)
-            write(6,"(11x,'For series ',i2,': START=',3i4,
-     |        ' STOP=',3i4,/)") i,start(:,i),stop(:,i)
-            call shutdown('START/STOP')
+            write(6,"(11x,'For series ',i2,': PRISTART=',4i4,
+     |        ' PRISTOP=',4i4)") i-1,pristart(:,i-1),pristart(:,i-1)
+            write(6,"(11x,'For series ',i2,': PRISTART=',4i4,
+     |        ' PRISTOP=',4i4,/)") i,pristart(:,i),pristop(:,i)
+            call shutdown('PRISTART/PRISTOP')
           endif
         enddo
       endif
@@ -944,25 +965,26 @@ subroutine inp_primhist
         call shutdown('SOURCE_START')
       endif
       if (nsrc > 0) then
-        if (n /= 3) then
-          write(6,"(/,'>>> INPUT: need 3 values for SOURCE_START ',
-     |      'time (day,hour,minute),',/,11x,
-     |      'e.g.: SOURCE_START=1,0,0',/)")
-          call shutdown('START')
+        if (n /= 4) then
+          write(6,"(/,'>>> INPUT: need 4 values for SOURCE_START ',
+     |      'time (day,hour,minute,secend),',/,11x,
+     |      'e.g.: SOURCE_START=1,0,0,0',/)")
+          call shutdown('PRISTART')
         endif
         call validate_mtime(source_start,mxday,'SOURCE_START')
 !
-! Model start time hr,min must be same as source_start hr,min:
+! Model start time hr,min must be same as source_start hr,min,sec:
 ! (days can be different)
-        if (start(2,1) /= source_start(2) .or.
-     |      start(3,1) /= source_start(3)) then
-          write(6,"(/,'>>> INPUT: START time (hr,min) ',
+        if (pristart(2,1) /= source_start(2) .or.
+     |      pristart(3,1) /= source_start(3) .or.
+     |      pristart(4,1) /= source_start(4)) then
+          write(6,"(/,'>>> INPUT: PRISTART time (hr,min,sec) ',
      |      'must be the same as SOURCE_START time.')")
-          write(6,"('  START        = ',3i4)") start(:,1)
-          write(6,"('  SOURCE_START = ',3i4)") source_start(:)
-          write(6,"('  (START and SOURCE_START days can be ',
+          write(6,"('  PRISTART    = ',4i4)") pristart(:,1)
+          write(6,"('  SOURCE_START = ',4i4)") source_start(:)
+          write(6,"('  (PRISTART and SOURCE_START days can be ',
      |      'different)',/)")
-          call shutdown('START')
+          call shutdown('PRISTART')
         endif
       endif
 !
@@ -1034,17 +1056,14 @@ subroutine inp_sechist
 ! Validate secondary history inputs:
 !
 ! Local:
-      integer :: n,i,ii,nstarts,nstops,nhists,nout,nsteps,
-     |  nsteps_hist(mxseries_sech),nsechs_total,nseriesp,nflds_sech,
-     |  nhists_total,nfiles_sech,nonblank,nsrc,mtime(4)
+      integer :: n,i,nstarts,nstops,nhists,nout,nsteps,
+     |  nsteps_hist(mxseries_sech),nseriesp,nflds_sech,
+     |  nhists_total,nfiles_sech,nonblank
       integer(kind=8) :: step8,
      |  nsec_start(mxseries_sech),nsec_stop(mxseries_sech),
      |  nsec_hist (mxseries_sech)
       character(len=1024) :: ch1024
       character(len=1024) :: hvols(mxhvols)
-      character(len=16) ::
-     |  secflds_tmp(mxfsech)
-      logical :: found
 !
 ! External:
       integer,external :: numfiles
@@ -1087,17 +1106,17 @@ subroutine inp_sechist
 !
 ! Secondary history start time(s):
       n = size(secstart)-count(secstart==ispval)
-      if (mod(n,3) /= 0) then
+      if (mod(n,4) /= 0) then
         write(6,"(/,'>>> INPUT: SECSTART must be given as series of ',
-     |    '3-integer triplet times',/,11x,'(day,hr,min).',/,11x,
+     |    '4-integer triplet times',/,11x,'(day,hr,min,sec).',/,11x,
      |    'A maximum of ',i3,' secstart times are allowed.',/)")
      |    mxseries_sech
         call shutdown('SECSTART')
       endif 
-      nstarts = n/3 ! number of start times given
+      nstarts = n/4 ! number of start times given
       if (nstarts < 1 .or. nstarts > mxseries_sech) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i3,
-     |    ' 3-integer SECSTART times are allowed.',/)") mxseries_sech
+     |    ' 4-integer SECSTART times are allowed.',/)") mxseries_sech
         call shutdown('SECSTART')
       endif
       do i=1,nstarts
@@ -1110,14 +1129,14 @@ subroutine inp_sechist
         nsec_start(i) = mtime_to_nsec(secstart(:,i))
         if (mod(nsec_start(i),step8) /= 0) then
           write(6,"(/,'>>> INPUT: SECSTART time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'SECSTART=',3i4,' STEP=',i4,/)")
+     |      'multiple of step:',/,11x,'SECSTART=',4i4,' STEP=',i4,/)")
      |      i,secstart(:,i),step
           call shutdown('SECSTART')
         endif
         if (i > 1) then
           if (nsec_start(i-1) > nsec_start(i)) then
             write(6,"(/,'>>> INPUT: SECSTART times must increase.',/,
-     |        11x,'SECSTART ',i2,' = ',3i4,' SECSTART ',i2,' = ',3i4,
+     |        11x,'SECSTART ',i2,' = ',4i4,' SECSTART ',i2,' = ',4i4,
      |        /)") i-1,secstart(:,i-1),i,secstart(:,i)
             call shutdown('SECSTART')
           endif
@@ -1126,37 +1145,37 @@ subroutine inp_sechist
 !
 ! Secondary start times must be >= first primary start times and
 ! <= last primary stop time:
-      nseriesp = (size(start)-count(start==ispval))/3
+      nseriesp = (size(pristart)-count(pristart==ispval))/4
       do i=1,nstarts
-        if (nsec_start(i) < mtime_to_nsec(start(:,1))) then
+        if (nsec_start(i) < mtime_to_nsec(pristart(:,1))) then
           write(6,"(/,'>>> INPUT: all secondary start times SECSTART',
-     |      ' must be >= first model START time.')")
-          write(6,"(11x,'First model START = ',3i4,' SECSTART ',i2,
-     |      ' = ',3i4,/)") start(:,1),i,secstart(:,i)
+     |      ' must be >= first model PRISTART time.')")
+          write(6,"(11x,'First model PRISTART = ',4i4,' SECSTART ',i2,
+     |      ' = ',4i4,/)") pristart(:,1),i,secstart(:,i)
           call shutdown('SECSTART')
         endif
-        if (nsec_start(i) > mtime_to_nsec(stop(:,nseriesp))) then
+        if (nsec_start(i) > mtime_to_nsec(pristop(:,nseriesp))) then
           write(6,"(/,'>>> INPUT: all secondary start times SECSTART',
-     |      ' must be <= last model STOP time.')")
-          write(6,"(11x,' SECSTART ',i2,' = ',3i4,' last STOP=',
-     |      3i4)") secstart(:,1),i,stop(:,nseriesp)
+     |      ' must be <= last model PRISTOP time.')")
+          write(6,"(11x,' SECSTART ',i2,' = ',4i4,' last PRISTOP=',
+     |      4i4)") secstart(:,1),i,pristop(:,nseriesp)
           call shutdown('SECSTART')
         endif
       enddo
 !
 ! Secondary history stop time(s):
       n = size(secstop)-count(secstop==ispval)
-      if (mod(n,3) /= 0) then
+      if (mod(n,4) /= 0) then
         write(6,"(/,'>>> INPUT: SECSTOP must be given as series of ',
-     |    '3-integer triplet times',/,11x,'(day,hr,min).',/,11x,
+     |    '4-integer triplet times',/,11x,'(day,hr,min,sec).',/,11x,
      |    'A maximum of ',i3,' secstop times are allowed.',/)")
      |    mxseries_sech
         call shutdown('SECSTOP')
       endif 
-      nstops = n/3 ! number of stop times given
+      nstops = n/4 ! number of stop times given
       if (nstops < 1 .or. nstops > mxseries_sech) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i3,
-     |    ' 3-integer SECSTOP times are allowed.',/)") mxseries_sech
+     |    ' 4-integer SECSTOP times are allowed.',/)") mxseries_sech
         call shutdown('SECSTOP')
       endif
       do i=1,nstops
@@ -1169,14 +1188,14 @@ subroutine inp_sechist
         nsec_stop(i) = mtime_to_nsec(secstop(:,i))
         if (mod(nsec_stop(i),step8) /= 0) then
           write(6,"(/,'>>> INPUT: SECSTOP time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'SECSTOP=',3i4,' STEP=',i4,/)")
+     |      'multiple of step:',/,11x,'SECSTOP=',4i4,' STEP=',i4,/)")
      |      i,secstop(:,i),step
           call shutdown('SECSTOP')
         endif
         if (i > 1) then
           if (nsec_stop(i-1) > nsec_stop(i)) then
             write(6,"(/,'>>> INPUT: SECSTOP times must increase.',/,
-     |        11x,'SECSTOP ',i2,' = ',3i4,' SECSTOP ',i2,' = ',3i4,
+     |        11x,'SECSTOP ',i2,' = ',4i4,' SECSTOP ',i2,' = ',4i4,
      |        /)") i-1,secstop(:,i-1),i,secstop(:,i)
             call shutdown('SECSTOP')
           endif
@@ -1188,36 +1207,37 @@ subroutine inp_sechist
         if (nsec_stop(i) < nsec_start(i)) then
           write(6,"(/,'>>> INPUT: SECSTART must be <= SECSTOP for ',
      |      'all time series.')")
-          write(6,"('For time series ',i2,': SECSTART=',3i4,' SECSTOP=',
-     |      3i4,/)") i,secstart(:,i),secstop(:,i)
+          write(6,"('For time series ',i2,': SECSTART=',4i4,' SECSTOP=',
+     |      4i4,/)") i,secstart(:,i),secstop(:,i)
           call shutdown('SECSTART/SECSTOP')
         endif
       enddo
 !
 ! Secondary stop times must be <= last primary stop time:
-      nstarts = n/3 ! number of start times given
+      nstarts = n/4 ! number of start times given
       do i=1,nstarts
-        if (nsec_stop(i) > mtime_to_nsec(stop(:,nseriesp))) then
+        if (nsec_stop(i) > mtime_to_nsec(pristop(:,nseriesp))) then
           write(6,"(/,'>>> INPUT: all secondary stop times must be',
      |      ' <= final model stop time.')")
-          write(6,"('For sech time series ',i2,': SECSTOP=',3i4,
-     |      ' Model STOP = ',3i4,/)") i,secstop(:,i),stop(:,nseriesp)
+          write(6,"('For sech time series ',i2,': SECSTOP=',4i4,
+     |      ' Model PRISTOP = ',4i4,/)")
+     |      i,secstop(:,i),pristop(:,nseriesp)
           call shutdown('SECSTOP')
         endif
       enddo
 !
 ! Secondary history write frequencies:
       n = size(sechist)-count(sechist==ispval)
-      if (mod(n,3) /= 0) then
+      if (mod(n,4) /= 0) then
         write(6,"(/,'>>> INPUT: SECHIST must be given as series of ',
-     |    '3-integer triplet times (day,hr,min).',/,11x,'A maximum',
+     |    '4-integer triplet times (day,hr,min,sec).',/,11x,'A maximum',
      |    ' of ',i3,' SECHIST times are allowed.',/)") mxseries_sech
         call shutdown('SECHIST')
       endif 
-      nhists = n/3 ! number of hist times given
+      nhists = n/4 ! number of hist times given
       if (nhists < 1 .or. nhists > mxseries_sech) then
         write(6,"(/,'>>> INPUT: At least one and a maximum of ',i3,
-     |    ' 3-integer SECHIST times are allowed.',/)")
+     |    ' 4-integer SECHIST times are allowed.',/)")
         call shutdown('SECHIST')
       endif
       do i=1,nhists
@@ -1235,7 +1255,7 @@ subroutine inp_sechist
         endif
         if (mod(nsec_hist(i),step8) /= 0) then
           write(6,"(/,'>>> INPUT: SECHIST time ',i1,' must be a ',
-     |      'multiple of step:',/,11x,'SECHIST=',3i4,' STEP=',i4,/)")
+     |      'multiple of step:',/,11x,'SECHIST=',4i4,' STEP=',i4,/)")
      |      i,sechist(:,i),step
           call shutdown('SECHIST')
         endif
@@ -1244,20 +1264,20 @@ subroutine inp_sechist
 ! Secondary start time cannot be same as start time if initial run,
 ! since sech fields would be zero (this is new as of 12/14/11):
 !
-! 1/5/12: Go back to allowing SECSTART==START for initial runs,
+! 1/5/12: Go back to allowing SECSTART==PRISTART for initial runs,
 !   so secondary histories can have non-zero "prognostic" fields 
 !   in first history copied from SOURCE (any fields saved by sub 
 !   addfld fields will be zero in this copied history, as before).
-!   Tag 1.94.2 will have this, i.e., allowing SECSTART==START for
+!   Tag 1.94.2 will have this, i.e., allowing SECSTART==PRISTART for
 !   initial runs.
 !
 !     nsrc = len_trim(source)
-!     if (nsrc > 0.and.nsec_start(1)==mtime_to_nsec(start(:,1))) then      
+!     if (nsrc > 0.and.nsec_start(1)==mtime_to_nsec(pristart(:,1))) then      
 !       write(6,"(/,'>>> INPUT: If an initial run, secondary start ',
-!    |    ' time SECSTART must not be same as START time.')")
+!    |    ' time SECSTART must not be same as PRISTART time.')")
 !       call nsecs_to_modeltime(nsec_start(1)+nsec_hist(1),mtime)
 !       write(6,"('Please set SECSTART to first SECHIST interval ',
-!    |    'after START time (',3i4,')')") mtime(1:3)
+!    |    'after PRISTART time (',4i4,')')") mtime
 !       call shutdown('SECSTART')
 !     endif
 !
@@ -1282,8 +1302,8 @@ subroutine inp_sechist
      |      ' in SECHIST ',i1,'.')") i,i
           write(6,"(11x,'nsteps ',i1,' = ',i6,' nsteps_hist ',i1,
      |      ' = ',i3)") i,nsteps,i,nsteps_hist(i)
-          write(6,"(11x,'Time series ',i2,': SECSTART = ',3i4,
-     |      ' SECSTOP = ',3i4,' SECHIST = ',3i4,/)") i,secstart(:,i),
+          write(6,"(11x,'Time series ',i2,': SECSTART = ',4i4,
+     |      ' SECSTOP = ',4i4,' SECHIST = ',4i4,/)") i,secstart(:,i),
      |      secstop(:,i),sechist(:,i)
           call shutdown('SECHIST')
         endif
@@ -1295,10 +1315,10 @@ subroutine inp_sechist
           if (nsec_start(i) < nsec_stop(i-1)) then
             write(6,"(/,'>>> INPUT: secondary history time series',
      |        ' cannot overlap.')")
-            write(6,"(11x,'For series ',i2,': SECSTART=',3i4,
-     |        ' SECSTOP=',3i4)") i-1,secstart(:,i-1),secstop(:,i-1)
-            write(6,"(11x,'For series ',i2,': SECSTART=',3i4,
-     |        ' SECSTOP=',3i4,/)") i,secstart(:,i),secstop(:,i)
+            write(6,"(11x,'For series ',i2,': SECSTART=',4i4,
+     |        ' SECSTOP=',4i4)") i-1,secstart(:,i-1),secstop(:,i-1)
+            write(6,"(11x,'For series ',i2,': SECSTART=',4i4,
+     |        ' SECSTOP=',4i4,/)") i,secstart(:,i),secstop(:,i)
             call shutdown('SECSTART/SECSTOP')
           endif
         enddo
@@ -1490,20 +1510,18 @@ subroutine inp_print(ntask)
 
       write(6,"('  step    =',i4,' (model timestep (seconds))',
      |  i4)") step
-#ifdef MPI      
       write(6,"('  ntask_lon = ',i2,' (number of mpi tasks in ',
      |  'longitude dimension)')") ntask_lon
       write(6,"('  ntask_lat = ',i2,' (number of mpi tasks in ',
      |  'latitude  dimension)')") ntask_lat
       write(6,"('  total tasks = ntask_lon*ntask_lat = ',i4)")
      |  ntask
-#endif
 !
 ! Primary histories:
       if (len_trim(source) > 0) then
         write(6,"('  source  = ',a,/,4x,'(file or mss path',
      |    ' containing source history)')") trim(source)      
-        write(6,"('  source_start = ',(i3,',',i2,',',i2),
+        write(6,"('  source_start = ',(i3,',',i2,',',i2,',',i2),
      |    ' (model time of source history)')")
      |    source_start
       endif
@@ -1511,15 +1529,15 @@ subroutine inp_print(ntask)
       write(6,"('  output (primary history output files) = ',
      |  /,(4x,a,', ',a))") 
      |  (trim(output(i)),i=1,n)
-      n = (size(start)-count(start==ispval))/3
-      write(6,"('  start (model start times) =',
-     |  /,4(4x,i3,',',i2,',',i2))") (start(:,i),i=1,n)
-      n = (size(stop)-count(stop==ispval))/3
-      write(6,"('  stop (model stop times) =',
-     |  /,4(4x,i3,',',i2,',',i2))") (stop(:,i),i=1,n)
-      n = (size(hist)-count(hist==ispval))/3
-      write(6,"('  hist (primary history disk write frequencies) =',
-     |  /,4(4x,i3,',',i2,',',i2))") (hist(:,i),i=1,n)
+      n = (size(pristart)-count(pristart==ispval))/4
+      write(6,"('  pristart (model start times) =',
+     |  /,4(4x,i3,',',i2,',',i2,',',i2))") (pristart(:,i),i=1,n)
+      n = (size(pristop)-count(pristop==ispval))/4
+      write(6,"('  pristop (model stop times) =',
+     |  /,4(4x,i3,',',i2,',',i2,',',i2))") (pristop(:,i),i=1,n)
+      n = (size(prihist)-count(prihist==ispval))/4
+      write(6,"('  prihist (primary history disk write frequencies) =',
+     |  /,4(4x,i3,',',i2,',',i2,',',i2))") (prihist(:,i),i=1,n)
       write(6,"('  Maxmimum number of histories per primary file = ',
      |  i3)") mxhist_prim
 !
@@ -1527,7 +1545,7 @@ subroutine inp_print(ntask)
       if (len_trim(secsource) > 0) then
         write(6,"('  secsource  = ',a,/,4x,'(file or mss path',
      |    ' containing secsource history)')") trim(secsource)
-        write(6,"('  secsource_start = ',(i3,',',i2,',',i2),
+        write(6,"('  secsource_start = ',(i3,',',i2,',',i2,',',i2),
      |    ' (model time of secsource history)')")
      |    source_start
       endif
@@ -1536,18 +1554,18 @@ subroutine inp_print(ntask)
      |  write(6,"('  secout (secondary history output files)=',
      |    /,(4x,a,', ',a))") 
      |    (trim(secout(i)),i=1,n)
-      n = (size(secstart)-count(secstart==ispval))/3
+      n = (size(secstart)-count(secstart==ispval))/4
       if (n > 0)
      |  write(6,"('  secstart (secondary history start times) =',
-     |    /,4(4x,i3,',',i2,',',i2))") (secstart(:,i),i=1,n)
-      n = (size(secstop)-count(secstop==ispval))/3
+     |    /,4(4x,i3,',',i2,',',i2,',',i2))") (secstart(:,i),i=1,n)
+      n = (size(secstop)-count(secstop==ispval))/4
       if (n > 0)
      |  write(6,"('  secstop (secondary history stop times) =',
-     |    /,4(4x,i3,',',i2,',',i2))") (secstop(:,i),i=1,n)
-      n = (size(sechist)-count(sechist==ispval))/3
+     |    /,4(4x,i3,',',i2,',',i2,',',i2))") (secstop(:,i),i=1,n)
+      n = (size(sechist)-count(sechist==ispval))/4
       if (n > 0)
      |  write(6,"('  sechist (secondary history disk write',
-     |    ' frequencies) =',/,4(4x,i3,',',i2,',',i2))") 
+     |    ' frequencies) =',/,4(4x,i3,',',i2,',',i2,',',i2))") 
      |    (sechist(:,i),i=1,n)
       n = (size(secflds)-count(len_trim(secflds)==0))
       if (n > 0)
@@ -1673,14 +1691,14 @@ end subroutine inp_print
 !-----------------------------------------------------------------------
       subroutine validate_mtime(mtime,mxday,label)
 !
-! Validate a model time (day,hr,min) from input.
+! Validate a model time (day,hr,min,sec) from input.
 ! (may be start or stop time, or frequency,
 !  e.g., history write frequency)
 ! If there is a bad value, stop with error message.
 ! Label is used to print error msg (usually the keyword name
 !   from namelist)
 !
-      integer,intent(in) :: mtime(3),mxday
+      integer,intent(in) :: mtime(4),mxday
       character(len=*),intent(in) :: label
       integer :: ier
 !
@@ -1704,7 +1722,14 @@ subroutine validate_mtime(mtime,mxday,label)
 ! Minute:
       if (mtime(3) < 0 .or. mtime(3) > 59) then
         write(6,"(/,'>>> input ',a,': bad model minute: ',i5,
-     |    ' (must be >= 0 and <= 59)')") label,mtime(1)
+     |    ' (must be >= 0 and <= 59)')") label,mtime(3)
+        ier = 1
+      endif 
+!
+! Second:
+      if (mtime(4) < 0 .or. mtime(4) > 59) then
+        write(6,"(/,'>>> input ',a,': bad model second: ',i5,
+     |    ' (must be >= 0 and <= 59)')") label,mtime(4)
         ier = 1
       endif 
 !
@@ -1739,7 +1764,7 @@ subroutine validate_timedep(constant,timedep,mxtimes,ntimes,name)
 ! Validate times and values in user provided time series.
 !
 ! Args:
-      real,intent(in) :: constant,timedep(4,mxtimes)
+      real,intent(in) :: constant,timedep(5,mxtimes)
       integer,intent(in) :: mxtimes
       integer,intent(out) :: ntimes
       character(len=*),intent(in) :: name
@@ -1755,44 +1780,46 @@ subroutine validate_timedep(constant,timedep,mxtimes,ntimes,name)
       ntimes = 0
       if (any(timedep /= spval)) then
 !
-! Time series must be provided in groups of 4 (day,hr,min,value):
+! Time series must be provided in groups of 5 (day,hr,min,sec,value):
         n = 0
         do i=1,mxtimes
-          do ii=1,4
+          do ii=1,5
             if (timedep(ii,i) /= spval) n = n+1
           enddo
         enddo
-        if (mod(n,4) /= 0) then
+        if (mod(n,5) /= 0) then
           write(6,"('>>> INPUT: must provide ',a,' in groups',
-     |      ' of 4: n=',i5,' mod(n,4)=',i5)") name,n,mod(n,4)
+     |      ' of 5: n=',i5,' mod(n,5)=',i5)") name,n,mod(n,5)
           call shutdown('validate_timedep')
         endif
         do i=1,mxtimes
           if (any(timedep(:,i) /= spval)) then
-            call validate_mtime(int(timedep(1:3,i)),mxday,name)
+            call validate_mtime(int(timedep(1:4,i)),mxday,name)
             ntimes = ntimes+1
           endif
         enddo ! i=1,mxtimes
-        nsec_start = mtime_to_nsec(start(:,1)) ! model start time
-        nsec_stop = mtime_to_nsec(stop(:,1))   ! model stop time
+        nsec_start = mtime_to_nsec(pristart(:,1)) ! model start time
+        nsec_stop = mtime_to_nsec(pristop(:,1))   ! model stop time
 !
 ! First time must be model start time:
         if (ntimes > 0) then
-          nsec = mtime_to_nsec(int(timedep(1:3,1)))
+          nsec = mtime_to_nsec(int(timedep(1:4,1)))
           if (nsec /= nsec_start) then
             write(6,"(/,'>>> INPUT: Please provide first value of ',a,
-     |        ' at model START time.')") trim(name)
+     |        ' at model PRISTART time.')") trim(name)
             call shutdown('validate_timedep')
           endif
 !
-! All times must be between START and STOP times:
+! All times must be between PRISTART and PRISTOP times:
           do i=1,ntimes
-            nsec = mtime_to_nsec(int(timedep(1:3,i)))
+            nsec = mtime_to_nsec(int(timedep(1:4,i)))
             if (nsec < nsec_start .or. 
      |          nsec > nsec_stop) then
-              write(6,"(/,'>>> INPUT: ',a,' time ',3i4,' is outside ',
-     |          'model START/STOP times: START=',3i4,' STOP=',3i4)")
-     |          trim(name),int(timedep(1:3,i)),start(:,1),stop(:,1)
+              write(6,"(/,'>>> INPUT: ',a,' time ',4i4,' is outside ',
+     |          'model PRISTART/PRISTOP times: PRISTART=',4i4,
+     |          ' PRISTOP=',4i4)")
+     |          trim(name),int(timedep(1:4,i)),
+     |          pristart(:,1),pristop(:,1)
               call shutdown('validate_timedep')
             endif 
           enddo
@@ -1801,13 +1828,13 @@ subroutine validate_timedep(constant,timedep,mxtimes,ntimes,name)
 ! Times must be increasing (assume non-spvals are from 1 to ntimes, 
 ! i.e., not interspersed with spvals):
         if (ntimes > 1) then
-          nsec0 = mtime_to_nsec(int(timedep(1:3,1)))
+          nsec0 = mtime_to_nsec(int(timedep(1:4,1)))
           do i=2,ntimes
-            nsec1 = mtime_to_nsec(int(timedep(1:3,i)))
+            nsec1 = mtime_to_nsec(int(timedep(1:4,i)))
             if (nsec0 >= nsec1) then
               write(6,"(/,'>>> INPUT: ',a,' times must increase',
-     |          '. Check time at i=',i3,' day,hr,min=',3i4,' and the',
-     |          ' time previous to i.')") name,i,int(timedep(1:3,i)) 
+     |          '. Check time at i=',i3,' day,hr,min,sec=',4i4,' and ',
+     |          'the time previous to i.')") name,i,int(timedep(1:4,i)) 
               call shutdown('validate_timedep')
             endif
             nsec0 = nsec1
@@ -1820,7 +1847,7 @@ subroutine validate_timedep(constant,timedep,mxtimes,ntimes,name)
         write(6,"('>>> INPUT: Please provide either constant or ',
      |    'time-dependent values for ',a,' (not both)')") trim(name)
         write(6,"(a,'=',e12.4,' ',a,'_time=',/,(6e12.4))")
-     |    trim(name),constant,trim(name),timedep(4,:)
+     |    trim(name),constant,trim(name),timedep(5,:)
         call shutdown('validate_timedep')
       endif
       end subroutine validate_timedep
@@ -2161,6 +2188,16 @@ subroutine inp_solar
         endif
       endif
 !
+! KP/GPI_NCFILE and VEDATA/VNDATA/VVDATA must set if SAPS is turned on
+      if (saps) then
+        if (kp==spval .and. all(kp_time==spval) .and.
+     |    len_trim(gpi_ncfile)==0)
+     |    call shutdown('KP/GPI_NCFILE must set if SAPS is TRUE')
+        if (len_trim(vedata)==0 .or. len_trim(vndata)==0 .or.
+     |    len_trim(vvdata)==0)
+     |    call shutdown('VEDATA/VNDATA/VVDATA must set if SAPS is TRUE')
+      endif
+!
 ! Report to stdout for debug: 
 !     write(6,"(/,'inp_solar returning:')")
 !     write(6,"('potential_model=',a)") trim(potential_model)
diff --git a/src/input_read.F b/src/input_read.F
index 0a5b8ec..77a5889 100644
--- a/src/input_read.F
+++ b/src/input_read.F
@@ -13,6 +13,7 @@ subroutine inp_read
 !
       use input_module,only: tgcm_input
       use mpi
+      use mpi_module,only: TIEGCM_WORLD
       implicit none
       character(len=1024) :: inputfile,line
       integer :: ier,stat
@@ -21,7 +22,7 @@ subroutine inp_read
       call getarg(1,inputfile)
       write(6,"(/,'Reading namelist input data from ',a)") 
      |  trim(inputfile)
-      call mpi_bcast(inputfile,1024,MPI_CHARACTER,0,MPI_COMM_WORLD,ier)
+      call mpi_bcast(inputfile,1024,MPI_CHARACTER,0,TIEGCM_WORLD,ier)
       open(10,file=trim(inputfile)) 
 !
 ! Do the namelist read:
diff --git a/src/interp.F90 b/src/interp.F90
new file mode 100644
index 0000000..a532146
--- /dev/null
+++ b/src/interp.F90
@@ -0,0 +1,128 @@
+module interp_module
+
+  implicit none
+
+  contains
+!-----------------------------------------------------------------------
+  pure function interp3d(z,x,y,zp,xp,yp,fp,zlog) result(f)
+! 3d interpolation, linear extrapolation
+! 3d dimensions in the order of z,x,y in accordance with model fields
+! zp,xp,yp: input locations; fp: input values
+! z,x,y: output locations; f: output values
+! zp,xp,yp are required to be monotonically increasing
+
+    real,dimension(:),intent(in) :: z,x,y,zp,xp,yp
+    real,dimension(size(zp),size(xp),size(yp)),intent(in) :: fp
+    logical,intent(in),optional :: zlog
+    real,dimension(size(z),size(x),size(y)) :: f
+
+    integer :: k,nx,ny,i,j
+    real,dimension(size(zp),size(x),size(y)) :: aux
+
+    forall (k=1:size(zp)) aux(k,:,:) = interp2d(x,y,xp,yp,fp(k,:,:))
+
+    nx = size(x)
+    ny = size(y)
+
+! logarithmic interpolation in z direction if zlog is set to true
+    if (present(zlog)) then
+      if (zlog) then
+        forall (i=1:nx,j=1:ny) f(:,i,j) = exp(interp1d(z,zp,log(aux(:,i,j))))
+        return
+      endif
+    endif
+
+! otherwise (zlog not present or set to false), linear interpolation
+    forall (i=1:nx,j=1:ny) f(:,i,j) = interp1d(z,zp,aux(:,i,j))
+
+  end function interp3d
+!-----------------------------------------------------------------------
+  pure function interp2d(x,y,xp,yp,fp) result(f)
+! 2d interpolation, linear extrapolation
+! xp,yp: input locations; fp: input values
+! x,y: output locations; f: output values
+! xp,yp are required to be monotonically increasing
+
+    real,dimension(:),intent(in) :: x,y,xp,yp
+    real,dimension(size(xp),size(yp)),intent(in) :: fp
+    real,dimension(size(x),size(y)) :: f
+
+    integer :: i,j
+    real,dimension(size(xp),size(y)) :: aux
+
+    forall (i=1:size(xp)) aux(i,:) = interp1d(y,yp,fp(i,:))
+    forall (j=1:size(y)) f(:,j) = interp1d(x,xp,aux(:,j))
+
+  end function interp2d
+!-----------------------------------------------------------------------
+  pure function interp1d(x,xp,fp) result(f)
+! 1d interpolation, linear extrapolation
+! xp: input locations; fp: input values
+! x: output locations; f: output values
+! xp is required to be monotonically increasing
+
+    real,dimension(:),intent(in) :: x,xp
+    real,dimension(size(xp)),intent(in) :: fp
+    real,dimension(size(x)) :: f
+
+    integer :: nx,nxp,i
+    integer,dimension(size(x)) :: i0,i1
+    real,dimension(size(x)) :: x0,x1
+
+    nx = size(x)
+    nxp = size(xp)
+
+    forall (i=1:nx) i0(i) = find(xp,x(i))
+    i1 = i0+1
+
+    where (i0 <= 0)
+      i0 = 1
+      i1 = 2
+    endwhere
+    where (i1 >= nxp+1)
+      i0 = nxp-1
+      i1 = nxp
+    endwhere
+
+    x0 = xp(i0)
+    x1 = xp(i1)
+
+    f = ((x1-x)*fp(i0) + (x-x0)*fp(i1)) / (x1-x0)
+
+  end function interp1d
+!-----------------------------------------------------------------------
+  pure function find(x,x0) result(i)
+! 1d binary search
+! x: value array; x0: value to be found
+! i: the index satisfying x(i)<=x0<x(i+1)
+! x is required to be monotonically increasing
+
+    real,dimension(:),intent(in) :: x
+    real,intent(in) :: x0
+    integer :: i
+
+    integer :: nx,i0,i1
+
+    nx = size(x)
+
+    if (x0 < x(1)) then
+      i = 0
+    elseif (x0 >= x(nx)) then
+      i = nx
+    else
+      i0 = 1
+      i1 = nx
+      do while (i0+1 < i1)
+        i = (i0+i1)/2
+        if (x(i) <= x0) then
+          i0 = i
+        else
+          i1 = i
+        endif
+      enddo
+      i = (i0+i1)/2
+    endif
+
+  end function find
+!-----------------------------------------------------------------------
+end module interp_module
diff --git a/src/ionvel.F b/src/ionvel.F
index 2062dc1..958c654 100644
--- a/src/ionvel.F
+++ b/src/ionvel.F
@@ -1,5 +1,5 @@
 !
-      subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
+      subroutine ionvel(z,ui,vi,wi,Etot,lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -9,18 +9,14 @@ subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
 ! (electric field ex,ey,ez was calculated in efield module, efield.F)
 ! (this was old sub vdrift2)
 !
-      use params_module,only: nlon,nlonp2,nlonp4
+      use params_module,only: nlonp4
       use cons_module,only: re
       use pdynamo_module,only: ex,ey,ez ! (nlevp1,lon0-2:lon1+2,lat0:lat1)
 
       use magfield_module,only: rjac,xb,yb,zb,bmod
       use addfld_module,only: addfld
       use diags_module,only: mkdiag_UI,mkdiag_VI,mkdiag_WI
-#ifdef MPI
       use mpi_module,only: mp_periodic_f3d
-#else
-      use params_module,only: nlon,nlonp2
-#endif
       implicit none
 !
 ! Args:
@@ -28,10 +24,10 @@ subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
      |  intent(in) :: z
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
-     |  intent(out) :: ui,vi,wi
+     |  intent(out) :: ui,vi,wi,Etot
 !
 ! Local:
-      integer :: k,i,nlevs,lonbeg,lonend,lat,ier
+      integer :: k,i,lonbeg,lonend,lat,ier
       real,dimension(lev0:lev1,lon0:lon1) :: eex,eey,eez
       real :: ftmp(lev0:lev1,lon0:lon1,lat0:lat1,3)
 !
@@ -106,8 +102,8 @@ subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
             wi(k,i,lat) =  (eex(k,i)*xb(i-2,lat)-eey(k,i)*yb(i-2,lat))*
      |        1.e6/bmod(i-2,lat)**2
 
-#if defined(INTERCOMM) || defined(CISMAH)
-            ! CMIT modification
+#ifdef GAMERA
+            ! MAGE modification
             if (vi(k,i,lat) > 2000.0) vi(k,i,lat) = 2000.0
             if (ui(k,i,lat) > 2000.0) ui(k,i,lat) = 2000.0
             if (vi(k,i,lat) < -2000.0) vi(k,i,lat) = -2000.0
@@ -124,12 +120,13 @@ subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
           vi(:,i,lat) = vi(:,i,lat)*100.
           wi(:,i,lat) = wi(:,i,lat)*100.
         enddo 
+!
+        Etot(:,lon0:lon1,lat) = sqrt(eex**2+eey**2+eez**2)*1E2
 !
 ! End latitude scan:
       enddo ! lat=lat0,lat1
 !
 ! Periodic points for ion velocities:
-#ifdef MPI
       ftmp(:,:,:,1) = ui(:,lon0:lon1,lat0:lat1)
       ftmp(:,:,:,2) = vi(:,lon0:lon1,lat0:lat1)
       ftmp(:,:,:,3) = wi(:,lon0:lon1,lat0:lat1)
@@ -139,18 +136,6 @@ subroutine ionvel(z,ui,vi,wi,lev0,lev1,lon0,lon1,lat0,lat1)
       ui(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,1)
       vi(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,2)
       wi(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,3)
-#else
-      do lat=lat0,lat1
-        do i=1,2
-          ui(:,i,lat) = ui(:,nlon+i,lat)
-          ui(:,nlonp2+i,lat) = ui(:,i+2,lat)
-          vi(:,i,lat) = vi(:,nlon+i,lat)
-          vi(:,nlonp2+i,lat) = vi(:,i+2,lat)
-          wi(:,i,lat) = wi(:,nlon+i,lat)
-          wi(:,nlonp2+i,lat) = wi(:,i+2,lat)
-        enddo
-      enddo
-#endif
 
 ! real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
 !     write(6,"('end ionvel: ui=',2e12.4,' vi=',2e12.4,' wi=',2e12.4)")
diff --git a/src/lamdas.F b/src/lamdas.F
index 0adcb34..251d6e4 100644
--- a/src/lamdas.F
+++ b/src/lamdas.F
@@ -1,6 +1,7 @@
 !
-      subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
-     |  lyx,lamda1,ped_out,hall_out,lev0,lev1,lon0,lon1,lat)
+      subroutine lamdas(tn,xnmbar,o2,o1,n2,ti,te,o2p,op,nop,Etot,
+     |  lxx,lyy,lxy,lyx,lamda1,ped_out,hall_out,Qa,Q2,
+     |  lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -12,10 +13,10 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 ! Pedersen/ Hall conductivities [S/m] (half levels)
 !
       use params_module,only: nlonp4
-      use magfield_module,only: bmod2,sn2dec,sncsdc,csdec,sndec
+      use magfield_module,only: bmod2,sn2dec,csdec,sndec
       use cons_module,only: dipmin,rmassinv_o2,rmassinv_o1,rmassinv_n2,
-     |  p0,expz,rmass_o2,rmass_o1,boltz,avo
-      use magfield_module,only: dipmag
+     |  rmass_o2,rmass_o1,avo,rtd
+      use magfield_module,only: dipmag,rlatm
       use input_module,only: colfac
       use addfld_module,only: addfld
       use diags_module,only: mkdiag_SIGMAPED,mkdiag_SIGMAHAL,
@@ -26,7 +27,7 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
      |  tn,   ! neutral temperature (deg K)
-     |  barm, ! mean molecular mass
+     |  xnmbar,! for conversion to volume density
      |  o2,   ! molecular oxygen (mmr)
      |  o1,   ! atomic oxygen    (mmr)
      |  n2,   ! molecular nitrogen (mmr)
@@ -34,7 +35,8 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
      |  te,   ! electron temperature (deg K)
      |  o2p,  ! O2+ number density (1/cm3)
      |  op,   ! O+  number density (1/cm3)
-     |  nop   ! NO+ number density (1/cm3)
+     |  nop,  ! NO+ number density (1/cm3)
+     |  Etot  ! Total electric field
 !
 ! Output args:
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) ::
@@ -44,17 +46,20 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
      |  lyx,     ! lamda YX term [1/s] 
      |  lamda1,  ! lamda_1 (sigma_p * B^2) / rho [1/s] magnetic eastward direction
      |  ped_out, ! pedersen conductivity (siemens/m) (will be input to dynamo)
-     |  hall_out ! hall conductivity (siemens/m) (will be input to dynamo)
+     |  hall_out,! hall conductivity (siemens/m) (will be input to dynamo)
+     |  Qa,Q2    ! electrojet turbulent heating
 !
 ! Local:
-      integer :: k,i,l,lonbeg,lonend,i0,i1
+      integer :: k,i,lonbeg,lonend,i0,i1
       real :: sqrt_te         ! sqrt(te)
       real,parameter :: qe=1.602e-19,  ! electron charge (coulomb)
      |    qeomeo10 =  1.7588028E7,     ! qe/m_e/10 [C/g]
-     |    qeoNao10 =  9.6489E3         ! qe/N_a/10 [C/mol]
+     |    qeoNao10 =  9.6489E3,        ! qe/N_a/10 [C/mol]
+     |    Me       =  9.109E-31,       ! electron mass [kg]
+     |    Mp       =  1.6726E-27,      ! proton mass [kg]
+     |    Kb       =  1.38E-23         ! Boltzmann's constant [J/K]
       real,parameter :: rmass_nop = 30.! [g/mol]
       real,parameter :: rmassinv_nop=1./rmass_nop ! inverted rmass
-      real,dimension(lev0:lev1,lon0:lon1) :: ped_plt,hall_plt
 !
 ! Local (lon):
       real,dimension(lon0:lon1) :: 
@@ -65,7 +70,6 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 !
 ! Local (lev,lon):
       real,dimension(lev0:lev1,lon0:lon1) ::
-     |  xnmbar,     ! for conversion to volume density
      |  xn2,        ! N2 (1-o2-o-he mmr)
      |  tnti,       ! average of tn and ti
      |  o2_cm3, o1_cm3, n2_cm3, ! major species number densities (cm3)
@@ -98,12 +102,15 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
      |  rnu_op,     ! [[op ~o2]n(o2)+[op ~o]n(o)+[op ~n2]n(n2)]/w(op )
      |  rnu_nop,    ! [[nop~o2]n(o2)+[nop~o]n(o)+[nop~n2]n(n2)]/w(nop)
 ! 
-     |  rnu_ne      ! electron~neutral
+     |  rnu_ne,     ! electron~neutral
+     |  Ki,         ! ratio between ion gyro frequency and ion-neutral collision frequency
+     |  Mi,         ! mean ion molecular mass
+     |  E1,
+     |  Q1          ! regular electron ohmic heating
 !
 ! Save input args to secondary history:
 !     real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
 !    |  tn,   ! neutral temperature (deg K)
-!    |  barm, ! mean molecular mass
 !    |  o2,   ! molecular oxygen (mmr)
 !    |  o1,   ! atomic oxygen    (mmr)
 !    |  n2,   ! molecular nitrogen (mmr)
@@ -117,8 +124,6 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 
 !     call addfld('TN_lam',' ',' ',tn(:,i0:i1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('BARM_lam',' ',' ',barm(:,i0:i1),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('O2_lam',' ',' ',o2(:,i0:i1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('O1_lam',' ',' ',o1(:,i0:i1),
@@ -212,7 +217,6 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 ! Major species number densities [1/cm^3]:
 ! mass density [g/cm^3/mol]: xnmbar half levels
 ! pressure at half level: p0*expz(k) [dyn/cm^2]
-! mean molecular weight at full level: barm [g/mol]
 ! Boltzmann constant [erg/K]
 ! neutral temperature [K]
 ! mass mixing rations[-]: o2, o1, xn2
@@ -220,13 +224,10 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          xnmbar(k,i) = p0*expz(k)*.5*(barm(k,i)+barm(k+1,i))/
-     |      (boltz*tn(k,i))
           o2_cm3(k,i) = o2(k,i)*xnmbar(k,i)*rmassinv_o2
           o1_cm3(k,i) = o1(k,i)*xnmbar(k,i)*rmassinv_o1
           xn2(k,i) = n2(k,i)
           xn2(k,i) = xn2(k,i)*rmassinv_n2            ! this part varies from timegcm
-          if (xn2(k,i) < 1.e-20) xn2(k,i) = 1.e-20   ! done as in tiegcm
           n2_cm3(k,i) = xn2(k,i)*xnmbar(k,i)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
@@ -320,6 +321,7 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
      |       o2p(k,i)/(1.+rnu_o2p(k,i)**2)-
      |       nop(k,i)/(1.+rnu_nop(k,i)**2))
 
+          if (sigma_hall(k,i) < 1e-20) sigma_hall(k,i) = 1e-20
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
@@ -366,8 +368,6 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
         lamda2(lev1,i)= sqrt(lamda2tmp(lev1-1,i)**3/lamda2tmp(lev1-2,i))
 !
 ! Non-rotated lamdas:
-! l^mag_yx = lyxnorot in code
-! l^mag_yx(code) = -l^magyx = l^magxy ; note a sign change in the code but it is NOT used later
         do k=lev0,lev1
           lxxnorot(k,i) = lamda1(k,i)
           lyynorot(k,i) = lamda1(k,i)*sin2dip(i)
@@ -397,8 +397,7 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
 !
 ! Rotate lamdas for displacement of geomagnetic and geographic poles:
 ! (full levels)
-! Note: l_yx(code) = -l_yx (rotated; but this sign change is taken into 
-! account in the momentum equation in duv.F
+!
       do i=lon0,lon1
         do k=lev0,lev1
           lxx(k,i)= lxxnorot(k,i)*cos2dec(i)+lyynorot(k,i)*sn2dec(i,lat)
@@ -436,4 +435,51 @@ subroutine lamdas(tn,barm,o2,o1,n2,ti,te,o2p,op,nop, lxx,lyy,lxy,
       call mkdiag_SIGMAPED('SIGMA_PED',ped_out,lev0,lev1,lon0,lon1,lat)
       call mkdiag_SIGMAHAL('SIGMA_HAL',hall_out,lev0,lev1,lon0,lon1,lat)
 
+! ratio between ion gyro frequency and ion-neutral collision frequency
+      Ki = 1/ne*(op(:,lon0:lon1)/rnu_op+
+     |  o2p(:,lon0:lon1)/rnu_o2p+
+     |  nop(:,lon0:lon1)/rnu_nop)
+
+! mean ion molecular mass [g/mol]
+      Mi = 1/ne*(op(:,lon0:lon1)*rmass_o1+
+     |  o2p(:,lon0:lon1)*rmass_o2+
+     |  nop(:,lon0:lon1)*rmass_nop)
+
+! Calculate electrojet turbulent heating, added by Jing Liu
+! ne: 1/cm^3*1E6 -> 1/m^3
+! bmod2: G*1E-4 -> T
+! Qa,Q1,Q2: J*1E-7 -> erg
+      E1 = (1.0+rnu_ne/Ki)*sqrt(Kb*(1.0+Ki**2)/(1.0-Ki**2)*
+     |  (te(:,lon0:lon1)+ti(:,lon0:lon1))/(Mi*Mp))
+      do i = lon0,lon1
+        E1(:,i) = E1(:,i)*bmod2(i,lat)*1E-4
+      enddo
+
+      Q1 = Me*rnu_ne*ne*1E6*Etot(:,lon0:lon1)**2
+      Q2(:,lon0:lon1) = Mi*Mp*1E6*
+     |  Ki**2*(Etot(:,lon0:lon1)-E1)**2/(1.0+Ki**2)*
+     |  (Etot(:,lon0:lon1)/E1*(1.0+rnu_ne/Ki)-1.0)
+      do i = lon0,lon1
+        Q1(:,i) = Q1(:,i)/(omega_e_inv(i)*(bmod2(i,lat)*1E-4)**2)
+        Q2(:,i) = Q2(:,i)/(bmod2(i,lat)*1E-4)**2*
+     |    (op(:,i)*rnu_op(:,i)/omega_op_inv(i)+
+     |    o2p(:,i)*rnu_o2p(:,i)/omega_o2p_inv(i)+
+     |    nop(:,i)*rnu_nop(:,i)/omega_nop_inv(i))
+      enddo
+      Qa(:,lon0:lon1) = Q1+Q2(:,lon0:lon1)
+
+      do i = lon0,lon1
+        if (abs(rlatm(i,lat))*rtd < 50.0) then
+          Q1(:,i) = 0.0
+          Q2(:,i) = 0.0
+          Qa(:,i) = 0.0
+        else
+          where (Ki(:,i)>1.0 .or. Etot(:,i)<=E1(:,i))
+            Q1(:,i) = 0.0
+            Q2(:,i) = 0.0
+            Qa(:,i) = 0.0
+          endwhere
+        endif
+      enddo
+
       end subroutine lamdas
diff --git a/src/laplacian.F b/src/laplacian.F
index 6f81782..dd78743 100644
--- a/src/laplacian.F
+++ b/src/laplacian.F
@@ -1,4 +1,3 @@
-#include <defs.h>
       subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -11,25 +10,17 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 !  longitude, and F includes the constant factor 1/re^2 that is normally 
 !  present on the rhs.
 !
-      use params_module,only: nlon,nlonp2,nlonp4,nlat
+      use params_module,only: nlon,nlonp2,nlonp4,nlat,glon,glat
       use addfld_module,only: addfld
-      use filter_module,only: ntrigs,trigs,ifax
-#ifdef MPI
       use mpi_module,only: mp_gather_f2d,mp_scatter_f2d,tasks,ntask,
      |  mytid
-#endif
 !
 ! Select correct set of coefficients for He calculation, depending
 ! on grid resolution:
 !
-#if (NLAT==36 && NLON==72)
-      use he_coefs_sres,only: pmn,zmn  ! he_coefs_sres.F
-#elif (NLAT==72 && NLON==144)
-      use he_coef0_dres,only: pmn      ! he_coef0_dres.F
-      use he_coef1_dres,only: zmn      ! he_coef1_dres.F
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
+      use he_coefs_module,only: nlat_he,nlon_he,glat_he,glon_he,
+     |  trigs,ntrigs,ifax,pmn,zmn
+      use interp_module,only: interp2d
 !
       implicit none
 !
@@ -41,24 +32,23 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
      |  lap_out    ! Laplacian output
 !
 ! Local:
-#ifndef MPI
-      integer,save :: mytid=0
-#endif
-#if (NLAT==36 && NLON==72)
-      integer,parameter :: truncdeg=4 ! Degree of truncation to maintain numerical stability
-#elif (NLAT==72 && NLON==144)
-      integer,parameter :: truncdeg=8 ! Degree of truncation to maintain numerical stability
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
-      integer :: i,j,lat,m,n,nx,nw,lonbeg,lonend
+      integer :: j,lat,m,n,nx,nw,
+     |  truncdeg ! Degree of truncation to maintain numerical stability
       integer,parameter :: nmax=35
       real,dimension(0:nmax-1,0:nmax) :: amn ! a(m,n) spectral coefficient
       real,dimension(nmax-1,nmax)     :: bmn ! b(m,n) spectral coefficient
       real :: fx(nlonp4,nlat),               ! Used by FFT subroutine
-     |        wfft((nlonp4+1)*nlat)
+     |        wfft((nlon_he+5)*nlat_he)
       real :: fx_tmp(nlonp4,nlat)
-      real :: lap_tmp(lon0:lon1,lat0:lat1)
+      real,dimension(nlon_he+4,nlat_he) :: fx_he
+      real,dimension(nlon+1) :: glonp1
+      real,dimension(nlon_he+1) :: glonp1_he
+
+      if (nlat==36 .and. nlon==72) then
+        truncdeg = 4
+      else
+        truncdeg = 8
+      endif
 
 !     call addfld('LAP_ARG',' ',' ',lap_arg,'lon',lon0,lon1,
 !    |  'lat',lat0,lat1,0)
@@ -70,17 +60,24 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 ! Gather 2d subdomain arrays to the root task. 
 ! (fx_tmp is returned global array on root task)
 !
-#ifdef MPI
       call mp_gather_f2d(lap_arg,fx_tmp,tasks(:)%lon0,tasks(:)%lon1,
      |  tasks(:)%lat0,tasks(:)%lat1,ntask,nlonp4,nlat,1)
       fx(1:nlon,1:nlat) = fx_tmp(3:nlonp2,1:nlat)
-#else
-      fx(1:nlon,1:nlat) = lap_arg(3:nlonp2,1:nlat)
-#endif
 !
 ! Root task does the fft:
 !
       if (mytid==0) then
+!
+        if (nlat == nlat_he) then
+          fx_he = fx
+        else
+          glonp1(1:nlon) = glon
+          glonp1(nlon+1) = glon(1)+360
+          fx(nlon+1,:) = fx(1,:)
+          fx_he(1:nlon_he,:) =
+     |      interp2d(glon_he,glat_he,glonp1,glat,fx(1:nlon+1,:))
+          fx_he(nlon_he+1:nlon_he+4,:) = 0.
+        endif
 !
 ! Forward transform gridpoint to fourier:
 ! (fftrans is in util.F)
@@ -88,10 +85,10 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 !     A(0),B(0),A(1),B(1),A(2),B(2),...,A(N/2),B(N/2)
 !     WHERE B(0)=B(N/2)=0; (N+2) LOCATIONS REQUIRED
 !
-        nx = (nlonp4)*nlat
-        nw = (nlonp4+1)*nlat ! fft999 claims this should be (nlon+1)*nlat
-        call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlat,
-     |    -1)
+        nx = (nlon_he+4)*nlat_he
+        nw = (nlon_he+5)*nlat_he ! fft999 claims this should be (nlon+1)*nlat
+        call fftrans(fx_he,nx,wfft,nw,trigs,ntrigs,ifax,1,nlon_he+4,
+     |    nlon_he,nlat_he,-1)
 !
 ! Fit (now on global grid)
         amn(:,:) = 0.
@@ -99,27 +96,27 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
         ! n=0,nmax-1
         do n=0,truncdeg ! for no truncation, sum to nmax-1
           ! m=0
-          do lat=1,nlat
-            amn(0,n) = amn(0,n)+zmn(lat,0,n)*fx(1,lat)
+          do lat=1,nlat_he
+            amn(0,n) = amn(0,n)+zmn(lat,0,n)*fx_he(1,lat)
           enddo 
           ! m=1,n
           do m=1,n
-            do lat=1,nlat
-              amn(m,n) = amn(m,n)+zmn(lat,m,n)*fx(2*m+1,lat)
-              bmn(m,n) = bmn(m,n)+zmn(lat,m,n)*fx(2*m+2,lat)
+            do lat=1,nlat_he
+              amn(m,n) = amn(m,n)+zmn(lat,m,n)*fx_he(2*m+1,lat)
+              bmn(m,n) = bmn(m,n)+zmn(lat,m,n)*fx_he(2*m+2,lat)
             enddo
           enddo ! m=1,n
         enddo ! n=0,nmax-1
         ! for (no) truncation (un)comment the following loops
         ! n=nmax;m=0
-!        do lat=1,nlat
-!          amn(0,nmax) = amn(0,nmax)+zmn(lat,0,nmax)*fx(1,lat)
+!        do lat=1,nlat_he
+!          amn(0,nmax) = amn(0,nmax)+zmn(lat,0,nmax)*fx_he(1,lat)
 !        enddo
         ! n=nmax;m=2,nmax-1,2
 !        do m=2,nmax-1,2
-!          do lat=1,nlat
-!            amn(m,nmax) = amn(m,nmax)+zmn(lat,m,nmax)*fx(2*m+1,lat)
-!            bmn(m,nmax) = bmn(m,nmax)+zmn(lat,m,nmax)*fx(2*m+2,lat)
+!          do lat=1,nlat_he
+!            amn(m,nmax) = amn(m,nmax)+zmn(lat,m,nmax)*fx_he(2*m+1,lat)
+!            bmn(m,nmax) = bmn(m,nmax)+zmn(lat,m,nmax)*fx_he(2*m+2,lat)
 !          enddo
 !        enddo ! m=2,nmax-1,2
 !
@@ -128,19 +125,19 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 !     A(0),B(0),A(1),B(1),A(2),B(2),...,A(N/2),B(N/2)
 !     WHERE B(0)=B(N/2)=0; (N+2) LOCATIONS REQUIRED
 !
-        fx(:,:) = 0.
+        fx_he(:,:) = 0.
         ! n=0,nmax-1
         do n=0,truncdeg ! for no truncation, sum to nmax-1
           ! m=0
-          do lat=1,nlat
-            fx(1,lat) = fx(1,lat)-n*(n+1)*amn(0,n)*pmn(lat,0,n)         ! A(0)
+          do lat=1,nlat_he
+            fx_he(1,lat) = fx_he(1,lat)-n*(n+1)*amn(0,n)*pmn(lat,0,n)   ! A(0)
           enddo
           ! m=1,n
           do m=1,n
-            do lat=1,nlat
-              fx(2*m+1,lat) = fx(2*m+1,lat)-n*(n+1)*amn(m,n)*
+            do lat=1,nlat_he
+              fx_he(2*m+1,lat) = fx_he(2*m+1,lat)-n*(n+1)*amn(m,n)*
      |                        pmn(lat,m,n)                              ! A(1),A(2),...
-              fx(2*m+2,lat) = fx(2*m+2,lat)-n*(n+1)*bmn(m,n)*
+              fx_he(2*m+2,lat) = fx_he(2*m+2,lat)-n*(n+1)*bmn(m,n)*
      |                        pmn(lat,m,n)                              ! B(1),B(2),...
             enddo
           enddo ! m=1,n
@@ -148,22 +145,32 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
         ! for (no) truncation (un)comment the following loops
         ! n=nmax;m=0
 !        do lat=lat0,lat1
-!          fx(1,lat) = fx(1,lat)-nmax*(nmax+1)*amn(0,nmax)*
+!          fx_he(1,lat) = fx_he(1,lat)-nmax*(nmax+1)*amn(0,nmax)*
 !     |                pmn(lat,0,nmax)                                   ! A(0)
 !        enddo ! lat=lat0,lat1
         ! n=nmax;m=2,nmax-1,2
 !        do m=2,nmax-1,2
 !          do lat=lat0,lat1
-!            fx(2*m+1,lat) = fx(2*m+1,lat)-nmax*(nmax+1)*amn(m,nmax)*
+!            fx_he(2*m+1,lat) = fx_he(2*m+1,lat)-nmax*(nmax+1)*amn(m,nmax)*
 !     |                      pmn(lat,m,nmax)                             ! A(2),A(4),...
-!            fx(2*m+2,lat) = fx(2*m+2,lat)-nmax*(nmax+1)*bmn(m,nmax)*
+!            fx_he(2*m+2,lat) = fx_he(2*m+2,lat)-nmax*(nmax+1)*bmn(m,nmax)*
 !     |                      pmn(lat,m,nmax)                             ! B(2),B(4),...
 !          enddo ! lat=lat0,lat1
 !        enddo ! m=2,nmax-1,2
 !
 ! Inverse transform fourier back to gridpoint:
-        call fftrans(fx,nx,wfft,nw,trigs,ntrigs,ifax,1,nlonp4,nlon,nlat,
-     |    1)
+        call fftrans(fx_he,nx,wfft,nw,trigs,ntrigs,ifax,1,nlon_he+4,
+     |    nlon_he,nlat_he,1)
+
+        if (nlat == nlat_he) then
+          fx = fx_he
+        else
+          glonp1_he(1:nlon_he) = glon_he
+          glonp1_he(nlon_he+1) = glon_he(1)+360
+          fx_he(nlon_he+1,:) = fx_he(1,:)
+          fx(1:nlon,:) =
+     |      interp2d(glon,glat,glonp1_he,glat_he,fx_he(1:nlon_he+1,:))
+        endif
 
         fx_tmp = 0.
         do j=1,nlat
@@ -179,16 +186,12 @@ subroutine laplacian(lap_arg,lap_out,lon0,lon1,lat0,lat1)
 ! Return lap_out from fx:
 !
       lap_out(:,:) = 0. ! init
-#ifdef MPI
 !
 ! Scatter results to subdomains:
 !
       call mp_scatter_f2d(fx_tmp,lap_out,tasks(:)%lon0,tasks(:)%lon1,
      |  tasks(:)%lat0,tasks(:)%lat1,ntask,nlonp4,nlat,1)
 
-#else
-      lap_out(3:nlonp2,1:nlat) = fx(1:nlon,1:nlat)
-#endif
 !     do j=lat0,lat1
 !       write(6,"('laplacian: j=',i4,' lap_out(:,j)=',/,(6e12.4))")
 !    |    j,lap_out(:,j)
diff --git a/src/lbc.F b/src/lbc.F
index 9087737..7ba909a 100644
--- a/src/lbc.F
+++ b/src/lbc.F
@@ -17,7 +17,7 @@ module lbc
 ! Total lower boundary conditions returned by this module.
 ! (dimensioned at full global grid, but defined at subdomains only)
 !
-      real,dimension(nlonp4,nlat) :: t_lbc, u_lbc, v_lbc, z_lbc
+      real,dimension(:,:),allocatable :: t_lbc, u_lbc, v_lbc, z_lbc
 !
 ! Diurnal and semi-diurnal tidal perturbations using Hough functions: 
 !
@@ -41,7 +41,13 @@ subroutine init_lbc
 ! Called once per run from tgcm.
 !
       use cons_module,only: t0cons=>t0
+      use mpi_module,only: lon0,lon1,lat0,lat1
       implicit none
+!
+      allocate(t_lbc(lon0:lon1,lat0:lat1))
+      allocate(u_lbc(lon0:lon1,lat0:lat1))
+      allocate(v_lbc(lon0:lon1,lat0:lat1))
+      allocate(z_lbc(lon0:lon1,lat0:lat1))
 !
 ! t0 in cons is zeroed out:
       t0cons(:) = 0.
@@ -57,7 +63,7 @@ subroutine init_lbc
       call bndcmp
       end subroutine init_lbc
 !-----------------------------------------------------------------------
-      subroutine tuvz_lbc(istep,iyear,iday,secs,itp)
+      subroutine tuvz_lbc(istep,iday,secs)
 !
 ! Update lower boundary subdomains of T,U,V,Z
 ! This is called every timestep from advance.
@@ -86,7 +92,7 @@ subroutine tuvz_lbc(istep,iyear,iday,secs,itp)
       implicit none
 !
 ! Args:
-      integer,intent(in) :: istep,iyear,iday,itp
+      integer,intent(in) :: istep,iday
       real,intent(in) :: secs
 !
 ! Local:
@@ -103,7 +109,7 @@ subroutine tuvz_lbc(istep,iyear,iday,secs,itp)
 !
 ! Set background constants 
       if (ibgrddata > 0 ) then ! background based on data
-        call get_bgrddata(istep,iyear,iday,secs)
+        call get_bgrddata(istep,iday,secs)
         t_lbc(lon0:lon1,lat0:lat1) = bgrddata_t(lon0:lon1,lat0:lat1)
         u_lbc(lon0:lon1,lat0:lat1) = bgrddata_u(lon0:lon1,lat0:lat1)
         v_lbc(lon0:lon1,lat0:lat1) = bgrddata_v(lon0:lon1,lat0:lat1)
@@ -122,7 +128,7 @@ subroutine tuvz_lbc(istep,iyear,iday,secs,itp)
 ! Add gswm perturbations:
 ! 12/2/15 btf: moved from advance.F to lbc.F
 !
-      call getgswm(istep,iyear,iday,secs)
+      call getgswm(istep,iday,secs)
 !
 ! Add gswm or Hough mode perturbations:
 !
@@ -228,8 +234,7 @@ subroutine tuvz_lbc(istep,iyear,iday,secs,itp)
       endif
 !
 ! Add CTMT perturbations:
-      if (len_trim(ctmt_ncfile) > 0 )
-     |  call get_ctmt(istep,iyear,iday,secs)
+      if (len_trim(ctmt_ncfile) > 0 ) call get_ctmt(istep,iday,secs)
 !
       if (len_trim(ctmt_ncfile) > 0) then
         do j=lat0,lat1
@@ -268,7 +273,7 @@ subroutine bndry_semidiurnal
       complex :: dzb(nlat)
       real :: b(5,19),rl(5),bhour(5),rlamda,xdot(19),ydot(19),
      |  ptscal,theta,ptjm(2*nlat+1)
-      integer :: n,jm,l,lm1,m,mm1,j,ld,i,nm1
+      integer :: n,jm,l,m,mm1,j,ld,i,nm1
 !
       complex zee(5),cl(5),expdlm
       data b/
diff --git a/src/mage_coupling.F b/src/mage_coupling.F
new file mode 100644
index 0000000..5f6b8f1
--- /dev/null
+++ b/src/mage_coupling.F
@@ -0,0 +1,561 @@
+!-----------------------------------------------------------------------
+      module mage_coupling_module
+!-----------------------------------------------------------------------
+! DESCRIPTION:
+
+! Module for MPI coupling TIEGCM with GAMERA and REMIX (MAGE).
+
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+!!  Preprocessor flag  !!  Source Code        !!  Notes               !!
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+!!  GAMERA             !!  mage_coupling.F    !!  MPI                 !!
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+!-----------------------------------------------------------------------
+      use params_module,only: nlonp4,nlat,nlatp1
+      implicit none
+
+      real,dimension(nlonp4,nlat) ::
+     |  gpot,        ! potential in geographic coordinates, periodic boundary
+     |  geng,        ! energy in geographic coordinates, periodic boundary
+     |  gflx         ! flux in geographic coordinates, periodic boundary
+!    |  gBbeAvgEng,  ! BBE Precip Average Eng-geo, periodic boundary
+!    |  gBbeNumFlux, ! BBE Precip Num flux-geo, periodic boundary
+!    |  gCuspAvgEng, ! Cusp Precip Average Eng-geo, periodic boundary
+!    |  gCuspNumFlux ! Cusp Precip Num flux-geo, periodic boundary
+
+! Potential in geographic coordinates from M-I coupler
+! Note: gpotm latitude dimension is defined to match mag2geo specifications
+      real,dimension(nlonp4,0:nlatp1) :: gpotm
+
+      real :: aurllbN,aurllbS ! all are co-lats in radians
+
+! Change the following parameters if adding more variables
+      integer,parameter ::
+     |  nmixinvar = 3, ! Potential, Flux, Energy
+     |  nmixoutvar = 2 ! Pedersen, Hall
+
+      contains 
+!-----------------------------------------------------------------------
+      subroutine initialize_coupling
+
+! This subroutine initialize MPI interface for data exchange
+! Send REMIX the grid information
+
+      use params_module,only: nlatp2,nlonp1,glat,glon
+      use cons_module,only: dtr
+
+      integer :: ierr
+      real,dimension(nlatp2) :: glatp2
+      real,dimension(nlonp1) :: glonp1
+
+      gpot = 0
+      geng = 0.5
+      gflx = 0
+      gpotm = 0
+      aurllbN = 10*dtr
+      aurllbS = 10*dtr
+
+! Hard code the poles
+      glatp2(2:nlatp2-1) = glat
+      glatp2(1) = -90
+      glatp2(nlatp2) = 90
+
+! Periodic boundary
+      glonp1(1:nlonp1-1) = glon
+      glonp1(nlonp1) = glon(1)+360
+
+#ifdef GAMERA
+
+      call init_mpi_remix(glatp2,glonp1)
+
+#endif
+
+      end subroutine initialize_coupling
+!-----------------------------------------------------------------------
+      subroutine import_mage
+
+! 1. Receive arrays (pot, eng, flx) from REMIX on process zero
+! 2. Broadcast to all MPI tasks
+! 3. Set periodic boundaries for gpot, geng, gflx, gpotm
+! 4. Clean up pole values for the dynamo solver
+
+      use params_module,only: nlatp2,nlon,nlonp1,nlonp2
+      use mpi_module,only: mytid,TIEGCM_WORLD,handle_mpi_err
+      use mpi
+
+      integer :: ierr,i,j
+      real*8,dimension(nlatp2,nlonp1,nmixinvar) :: var2d
+
+!     write(6,"('TIEGCM (',i3,'): inside receive')") mytid
+
+      var2d = 0.
+
+#ifdef GAMERA
+      if (mytid == 0) then
+
+        call import_remix(var2d)
+! Unit conversion
+        var2d(:,:,1) = var2d(:,:,1)*1e3 ! potential: kV -> V
+        var2d(:,:,2) = var2d(:,:,2)*0.5 ! mean energy -> characteristic energy
+      endif
+
+      call mpi_bcast(var2d, nlatp2*nlonp1*nmixinvar, 
+     |  MPI_REAL8, 0, TIEGCM_WORLD, ierr)
+      if (ierr /= 0) call handle_mpi_err(ierr, 'import: TIEGCM bcast')
+
+! Process the imported data
+      do j = 1,nlat
+        do i = 1,nlon
+          gpot(i+2,j) = var2d(j+1,i,1)
+          geng(i+2,j) = var2d(j+1,i,2)
+          gflx(i+2,j) = var2d(j+1,i,3)
+          gpotm(i+2,j) = var2d(j+1,i,1)
+        enddo
+        gpotm(nlonp1+2,j) = var2d(j+1,nlonp1,1)
+      enddo
+
+#endif
+      end subroutine import_mage
+!-----------------------------------------------------------------------
+
+      subroutine process_import
+
+#ifdef GAMERA  
+      use params_module,only: nlatp2,nlon,nlonp1,nlonp2,glat
+      use input_module,only: ctpoten
+      use cons_module,only: pi
+      use mpi_module,only: mytid,handle_mpi_err,TIEGCM_WORLD
+      use mpi
+
+      integer :: v,ierr,i,j,js,jn
+      real :: polev1,polev2,
+     |   cpmaxsh,cpminsh,cpmaxnh,cpminnh
+      real*8 :: nfluxllb = 1.0e7
+      real*8,dimension(nlon) :: aurllbj
+  
+
+! Dynamo solver requires pole values for gpotm
+! Linearly interpolate to add pole values
+
+! Southern Hemisphere: j=0
+      polev1=0.
+      polev2=0.
+      do i=1,nlonp1
+        polev1=polev1+gpotm(i+2,1)
+        polev2=polev2+gpotm(i+2,2)
+      enddo
+
+      do i=1,nlonp1
+        gpotm(i+2,0)=(9.*polev1-polev2)/(8.*float(nlonp1))
+      enddo
+
+! Northern Hemisphere: j=nlatp1
+      polev1=0.
+      polev2=0.
+      do i=1,nlonp1
+        polev1=polev1+gpotm(i+2,nlat)
+        polev2=polev2+gpotm(i+2,nlat-1)
+      enddo
+      do i=1,nlonp1
+        gpotm(i+2,nlatp1)=(9.*polev1-polev2)/(8.*float(nlonp1))
+      enddo
+
+! Set periodic points
+      do j = 1,nlat
+        do i = 1,2
+          gpot(i,j) = gpot(nlon+i,j)
+          geng(i,j) = geng(nlon+i,j)
+          gflx(i,j) = gflx(nlon+i,j)
+          gpotm(i,j) = gpotm(nlon+i,j)
+
+          gpot(nlonp2+i,j) = gpot(i+2,j)
+          geng(nlonp2+i,j) = geng(i+2,j)
+          gflx(nlonp2+i,j) = gflx(i+2,j)
+          gpotm(nlonp2+i,j) = gpotm(i+2,j)
+        enddo
+      enddo
+
+!!!  08/11:  FIXME: While merging TIEGCM 1.94.1 into LTR-2.1.4-beta, I found
+!!!          the following code segment.  Does CTPOTEN really need to be
+!!!          calculated here?  What does CTPOTEN do in the input namelist?
+!!!          Isn't CTPOTEN read from the GPI file?  Is MAGE ready for the 
+!!!          dynamic crit mods?  Commenting this code out for now.  Need
+!!!          to talk with Ben on this.  Compare to TIEGCM revisions r571
+!!!          and r575 (TIEGCM repository).
+!!!
+!!!!
+!!!! 01/11:  Find ctpoten (kV) or min/max average from both hemispheres (gpot in V)
+!!!!         ctpoten is NOT (yet) used to find theta0 in aurora_cons, where theta0
+!!!!         is used in colath for crit(1,2).  Set theta0=10 so crit1,2=15,30 deg (old).
+!!!!
+!!!      cpmaxsh = -1000000.
+!!!      cpmaxnh = -1000000.
+!!!      cpminsh =  1000000.
+!!!      cpminnh =  1000000.
+!!!
+!!!      do js=1,nlat/2
+!!!       jn=nlat/2+js
+!!!       do ii=1,nlonp1+1
+!!!	cpmaxsh = max(cpmaxsh,gpot(ii,js))
+!!!	cpminsh = min(cpminsh,gpot(ii,js))
+!!!	cpmaxnh = max(cpmaxnh,gpot(ii,jn))
+!!!	cpminnh = min(cpminnh,gpot(ii,jn))
+!!!       enddo
+!!!      enddo
+
+      cpmaxsh = maxval(gpot(:,1:nlat/2))
+      cpmaxnh = maxval(gpot(:,nlat/2+1:nlat))
+      cpminsh = minval(gpot(:,1:nlat/2))
+      cpminnh = minval(gpot(:,nlat/2+1:nlat))
+
+      ctpoten = 0.5*(cpmaxsh-cpminsh+cpmaxnh-cpminnh)*0.001
+
+      ! Find the lowest lat of all MLT where mixFlux drops to below certain threshold.
+      ! Pass it into colath.F, replace crit(1) and 2.
+      ! Make NH/SH separately.
+      ! Note in cism_adhoc.F, allocate(mixPot(nmixlat,nmixlon)), allocate(mixlon(nmixlon,nmixlat))
+      aurllbN = 0.D0
+      aurllbS = 0.D0
+      aurllbj = 0.D0
+      do j=1,nlon   ! NORTH
+        do i=nlat/2+1,nlat
+          if(gflx(j+2,i)>=nfluxllb) exit ! Find the lowest lat where numflux is above 1e6/cm^2/s
+        enddo
+        aurllbj(i) = max(90.-glat(i),15.) ! aurllbj is co-lat.
+      enddo
+      aurllbN = maxval(aurllbj)
+
+      aurllbj = 0.D0
+      do j=1,nlon   ! SOUTH
+        do i=nlat/2,1,-1
+          if(gflx(j+2,i)>=nfluxllb) exit ! Find the lowest lat where numflux is above 1e6/cm^2/s
+        enddo
+        aurllbj(i) = max(90.-glat(i),15.) ! aurllbj is co-lat.
+      enddo
+      aurllbS = maxval(aurllbj)
+
+#endif
+
+      end subroutine process_import
+
+!-----------------------------------------------------------------------
+      subroutine export_mage(modeltime)
+
+! ... Shared Module Variables ..........................................
+      use params_module,only: nlatp2,nlon,nlonp1,nlonp2
+      use fields_module,only: gzigm1,gzigm2,gnsrhs
+      use mpi_module,only: lon0,lon1,lat0,lat1,mp_gather_f2d,mytid,
+     |  ntask,tasks,myAppId,voltId,mixCplComm,mixCplRank,handle_mpi_err
+      use addfld_module,only: addfld
+      use mpi
+
+! ... Parameter variables ..............................................
+      integer,dimension(4),intent(in) :: modeltime
+
+! ... Local variables ..................................................
+      integer :: i,j,v,ierr
+      real,dimension(nlatp2,nlonp1,nmixoutvar) :: var2d
+      real,dimension(nlonp4,nlat) :: gzigm1_glb,gzigm2_glb,gnsrhs_glb
+
+! ... Begin ............................................................
+
+! Prepare data for export
+#ifdef GAMERA
+      where(gzigm1 < 0.2) gzigm1 = 0.2
+      where(gzigm2 < 0.2) gzigm2 = 0.2
+
+      call mp_gather_f2d(gzigm1(lon0:lon1,lat0:lat1),gzigm1_glb,
+     |  tasks(:)%lon0,tasks(:)%lon1,tasks(:)%lat0,tasks(:)%lat1,
+     |  ntask,nlonp4,nlat,1)
+      call mp_gather_f2d(gzigm2(lon0:lon1,lat0:lat1),gzigm2_glb,
+     |  tasks(:)%lon0,tasks(:)%lon1,tasks(:)%lat0,tasks(:)%lat1,
+     |  ntask,nlonp4,nlat,1)
+      call mp_gather_f2d(gnsrhs(lon0:lon1,lat0:lat1),gnsrhs_glb,
+     |  tasks(:)%lon0,tasks(:)%lon1,tasks(:)%lat0,tasks(:)%lat1,
+     |  ntask,nlonp4,nlat,1)
+
+      if (mytid == 0) then
+        do j = 2,nlatp1
+          do i = 1,nlonp1
+            var2d(j,i,1) = gzigm1_glb(i+2,j-1)
+            var2d(j,i,2) = gzigm2_glb(i+2,j-1)
+          enddo
+        enddo
+        var2d(1,:,1) = sum(gzigm1_glb(3:nlonp2,1))/nlon
+        var2d(nlatp2,:,1) = sum(gzigm1_glb(3:nlonp2,nlat))/nlon
+        var2d(1,:,2) = sum(gzigm2_glb(3:nlonp2,1))/nlon
+        var2d(nlatp2,:,2) = sum(gzigm2_glb(3:nlonp2,nlat))/nlon
+
+        write(6,"('Sending at: ',4i4)") modeltime
+
+! Export the data
+        if (mixCplComm /= MPI_COMM_NULL) then
+          do v = 1,nmixoutvar
+            call mpi_send(var2d(:,:,v), nlatp2*nlonp1,
+     |        MPI_DOUBLE_PRECISION, mixCplRank,
+     |        (myAppId+voltId)*100+v, mixCplComm, ierr)
+            if (ierr /= 0)
+     |        call handle_mpi_err(ierr, 'export: TIEGCM send to REMIX')
+          enddo
+        endif
+      endif
+
+! Save exchange variables to secondary history files
+
+!     call addfld('gpot','Potential from M-I Coupler (geographic)',' ',
+!    |  gpot(lon0:lon1,lat0:lat1),'lon',lon0,lon1,'lat',lat0,lat1,0)
+!     call addfld('geng','Energy from M-I Coupler', ' ',
+!    |  geng(lon0:lon1,lat0:lat1),'lon',lon0,lon1,'lat',lat0,lat1,0)
+!     call addfld('gflx','Number Flux from M-I Coupler', ' ',
+!    |  gflx(lon0:lon1,lat0:lat1),'lon',lon0,lon1,'lat',lat0,lat1,0)
+!     call addfld('gpotm','Potential from M-I Coupler (geographic)',' ',
+!    |  gpotm(lon0:lon1,lat0:lat1),'lon',lon0,lon1,'lat',lat0,lat1,0)
+
+#endif
+      end subroutine export_mage
+!-----------------------------------------------------------------------
+      subroutine finalize_coupling
+      end subroutine finalize_coupling
+!-----------------------------------------------------------------------
+      subroutine mage_ucurrent(rim1,rim2,mlon0,mlon1,mlat0,mlat1,nsrhs)
+!
+! 3/20/14 btf: This routine moved from old serial dynamo (where it was
+!   called after sub transf, and followed by 3 calls to mag2geo). 
+!   The call to this routine is now in pdynamo after sub complete_integrals, 
+!   however as of this date. 
+!
+! DESCRIPTION:
+!
+! This subroutine calculate height-integrated neutral wind generated
+! field-aligned current (dynamo) to be passed to the M-I coupler to
+! solve electric potential. This subroutine is based on the subroutine
+! 'nosocoef' in 'current.F' written by Astrid Maute.
+! The height-integrated neutral wind field-alined current is calculated in a
+! Quisi-Dipole Coordinate that is defined in detail in Richmond (1995). This
+! coordinate system removes the 1/|sinI_m| factor in the partial differential
+! equation for the electric potential in the Modified Apex Coordinate system.
+! 1/|sinI_m| is not defined at magnetic equator in the Modified Apex
+! Coordinate system, but is well defined in the Quisi-Dipole Coordinate system
+! (I still need to see how this works).
+! The neutral dynamo currents are already calculted in subroutine
+! 'fieldline-integrals' in the 'dynamo.F' as a global variable
+! 'rim(nmlonp1,nmlat,2)'. Subroutine 'rshpde' has the formula to calculate
+! height-integrated neutral wind current, but the current there is the sum
+! of two hemispheres. We want a global distribution of this current for the M-I
+! coupler. Thus the code here is an expanded version of that in "rhspde", but a
+! stripped version of "nosocoef". 'nosocoef' also calculates other
+! coefficients (lhs) for the potential equation to obtain total field-aligned currents
+! including both magnetosphere and thermosphere originated currents. We only need
+! thermospheric originated currents for the MAGE M-I coupler.
+!
+! This subroutine is called by subroutine 'dynamo' after 'call transfer'
+! in 'dynamo.F'
+!                                                  ---------- Wenbin Wang 09/20/05
+! USES
+!
+      use params_module,only: nmlon,nmlonp1,nmlat,nmlath
+      use cons_module,only: dlonm,dlatm,pi,r0
+      use mpi_module,only: mp_mag_periodic_f2d
+
+!
+! PARAMETERS:
+! RETURN VALUE: nsrhs(nmlonp1,nmlat)   ! defined as a global variable above
+!
+! !REVISION HISTORY:
+!
+! EOP
+!
+! Calculate height-integrated field-aligned neutral wind currents for both hemisphere
+!
+      integer,intent(in) :: mlon0,mlon1,mlat0,mlat1
+      real,intent(in) :: rim1(mlon0-1:mlon1+1,mlat0-1:mlat1+1),
+     |                      rim2(mlon0-1:mlon1+1,mlat0-1:mlat1+1)
+      real,intent(out) :: nsrhs(mlon0-1:mlon1+1,mlat0-1:mlat1+1)
+
+!
+! Local:
+!
+      real,parameter :: unitvm(nmlon)=1.
+      real :: cs(mlat0-1:mlat1+1)
+      real :: dfac
+      real :: fmsub(mlon0:mlon1,mlat0:mlat1)
+      integer :: j,i
+      integer mlon00,mlon11,mlat00,mlat11
+      integer latstart, latend
+!
+! Externals:
+!
+      real,external :: sddot ! in util.F
+!
+! Set halos indexes
+!
+      mlon00=mlon0-1 ; mlon11=mlon1+1
+      mlat00=mlat0-1 ; mlat11=mlat1+1
+!
+! Calculate coefficients for dynamo pde for both hemisphere
+!
+!
+! Clear arrays
+!
+      nsrhs(:,:)    = 0.0
+!
+! Calculate magnetic latitude cosin array
+!
+      do j = mlat00,mlat11     
+        cs(j) = cos(-pi/2.+(j-1)*dlatm)
+      enddo
+!
+! Calculate right hand side of pde from rim1 and rim2
+!
+      latstart=mlat0
+      latend=mlat1
+      if (latstart==1) then 
+        latstart=2
+      endif
+      if (latend==nmlat) then 
+        latend=nmlat-1
+      endif
+      do j = latstart,latend  
+        if (j == nmlath) cycle  ! skip equator
+        !
+        ! Differentiate rim(1) w.r.t lamda
+        !
+        do i = mlon0,mlon1
+          if (i /= 1 .and. i /= nmlonp1) then  ! Skip longitudinal boundaries
+            nsrhs(i,j)  = 1.0/(dlonm*cs(j))*
+     |                      0.5*(rim1(i+1,j)-rim1(i-1,j))
+          else ! Values at longitudinal boundaries
+            if (i==1) then
+              nsrhs(1,j)  = 1.0/(dlonm*cs(j))*
+     |                      0.5*(rim1(2,j)-rim1(0,j))
+            else
+              nsrhs(nmlonp1,j)  = 1.0/(dlonm*cs(j))*
+     |                      0.5*(rim1(mlon0,j)-rim1(nmlonp1-1,j))
+            endif
+          endif
+        enddo
+      enddo  ! j loop
+!
+! Differentiate rim(2) w.r.t theta0
+!
+      do j = mlat0,mlat1  ! south pole to north pole
+        if (j==1) then ! Calculate south pole value
+           nsrhs(mlon0,1)     = -2./float(nmlon)*
+     |               sddot(nmlon,unitvm,rim2(mlon0,2))/cs(2)
+           ! Extend over longitude
+           nsrhs(:,1) = nsrhs(mlon0,1)
+        elseif (j==nmlat) then ! Calculate calculate north pole value 
+           nsrhs(mlon0,nmlat) = -2./float(nmlon)*
+     |               sddot(nmlon,unitvm,rim2(mlon0,nmlat-1))/cs(mlat0-1)
+           ! Extend over longitude
+           nsrhs(:,nmlat) = nsrhs(mlon0,nmlat)
+         elseif (j==nmlath) then ! Calculate equator values
+           do i=mlon0,mlon1
+             if (i==1) then
+               nsrhs(i,j) = 0.5/dlonm*(rim1(i+1,j)-rim1(i-1,j))
+               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
+     |                 rim2(i,j)+ cs(j+1)*rim2(i,j+1))
+             elseif (i==nmlonp1) then
+               nsrhs(i,j) = 0.5/dlonm*(rim1(nmlonp1+1,j)-rim1(i-1,j))
+               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
+     |                 rim2(i,j)+ cs(j+1)*rim2(i,j+1))
+             else
+               nsrhs(i,j) = 0.5/dlonm*(rim1(i+1,j)-rim1(i-1,j))
+               nsrhs(i,j) = nsrhs(i,j) + 1./dlatm*(cs(j)*
+     |                    rim2(i,j)+ cs(j+1)*rim2(i,j+1))
+             endif
+
+           enddo
+
+         elseif (j<nmlath) then !calculate south pole to equator
+           do i = mlon0,mlon1
+             nsrhs(i,j)  = nsrhs(i,j) - 1.0/(dlatm*cs(j))*0.5*
+     |               (rim2(i,j+1)*cs(j+1)-rim2(i,j-1)*cs(j-1))
+           enddo
+         else !calculate north pole to equator
+           do i = mlon0,mlon1
+             nsrhs(i,j) = nsrhs(i,j) + 1.0/(dlatm*cs(j))*0.5*
+     |               (rim2(i,j+1)*cs(j+1)-rim2(i,j-1)*cs(j-1))
+           enddo
+         endif
+      enddo
+!
+! Periodic points
+!
+      fmsub(:,:)=nsrhs(mlon0:mlon1,mlat0:mlat1)
+      call mp_mag_periodic_f2d(fmsub,mlon0,mlon1,mlat0,mlat1,1)
+
+      nsrhs(mlon0:mlon1,mlat0:mlat1) = fmsub(:,:)
+!
+! Scale rhs by refernce radius (R_E + H0) in meters dfac = r0*1e-2
+!
+      dfac = r0*1.0e-2
+      nsrhs(:,:) = -1.*nsrhs(:,:)/dfac
+!
+      end subroutine mage_ucurrent
+
+!-------------------------------------------------------------------
+
+      subroutine init_mpi_remix(glatp2,glonp1)
+
+      use params_module,only: nlatp2,nlonp1
+      use mpi_module,only: myAppId,voltId,mixCplComm,mixCplRank,
+     |  handle_mpi_err
+      use mpi
+
+      integer :: ierr
+      real,dimension(nlatp2) :: glatp2
+      real,dimension(nlonp1) :: glonp1
+
+      if (mixCplComm /= MPI_COMM_NULL) then
+        write(*,*) "TGCM: Start init_mpi_remix"
+        call mpi_send(nlatp2, 1, MPI_INTEGER,
+     |    mixCplRank, (myAppId+voltId)*100+1, mixCplComm, ierr)
+        if (ierr /= 0)
+     |    call handle_mpi_err(ierr, 'initialize: TIEGCM send to REMIX')
+
+        call mpi_send(nlonp1, 1, MPI_INTEGER,
+     |    mixCplRank, (myAppId+voltId)*100+2, mixCplComm, ierr)
+        if (ierr /= 0)
+     |    call handle_mpi_err(ierr, 'initialize: TIEGCM send to REMIX')
+
+        call mpi_send(glatp2, nlatp2, MPI_DOUBLE_PRECISION,
+     |    mixCplRank, (myAppId+voltId)*100+3, mixCplComm, ierr)
+        if (ierr /= 0)
+     |    call handle_mpi_err(ierr, 'initialize: TIEGCM send to REMIX')
+
+        call mpi_send(glonp1, nlonp1, MPI_DOUBLE_PRECISION,
+     |    mixCplRank, (myAppId+voltId)*100+4, mixCplComm, ierr)
+        if (ierr /= 0)
+     |    call handle_mpi_err(ierr, 'initialize: TIEGCM send to REMIX')
+
+        write(*,*) "TGCM: Done init_mpi_remix"
+      endif
+
+      end subroutine init_mpi_remix
+
+      subroutine import_remix(var2d)
+
+      use params_module,only: nlatp2,nlonp1
+      use mpi_module,only: myAppId,voltId,mixCplComm,mixCplRank,
+     |  handle_mpi_err
+      use mpi
+
+        integer :: v,ierr,i,j
+        real*8,dimension(nlatp2,nlonp1,nmixinvar) :: var2d
+
+        if (mixCplComm /= MPI_COMM_NULL) then
+          do v = 1,nmixinvar
+          write(*,*) "GCMCPL: ", mixCplRank,(myAppId+voltId)*100+v
+            call mpi_recv(var2d(:,:,v), nlatp2*nlonp1,
+     |        MPI_DOUBLE_PRECISION, mixCplRank,
+     |        (myAppId+voltId)*100+v, mixCplComm,
+     |        MPI_STATUS_IGNORE, ierr)
+            if (ierr /= 0) call handle_mpi_err(ierr,
+     |        'import: TIEGCM recv from REMIX')
+          enddo
+        endif
+
+      end subroutine import_remix
+
+      end module mage_coupling_module
diff --git a/src/magfield.F b/src/magfield.F
index f0a9f63..8599263 100644
--- a/src/magfield.F
+++ b/src/magfield.F
@@ -14,16 +14,8 @@ module magfield_module
 !
       use params_module,only: nmlonp1,nmlat,nlat,nlonp4,nlatp2,nlonp2,
      |  nlon,nlonp1,nlevp1,nmlon,nlatp1
-      use nchist_module,only: nc_open,nc_close,handle_ncerr
       use addfld_module,only: addfld
       implicit none
-!
-! Netcdf header file:
-#ifdef SUN
-#include <netcdf3.inc>
-#else
-#include <netcdf.inc>
-#endif
 !
       real,dimension(nlonp1,0:nlatp1) ::
      |  alatm,   ! geomagnetic latitude at each geographic grid point (radians)
@@ -111,23 +103,14 @@ module magfield_module
 !
       contains
 !-----------------------------------------------------------------------
-#include <defs.h>
       subroutine magdyn
 !
 ! Define magnetic field and related quantities:
+      use cons_module,only: dipmin
 !
 ! Local:
 !
-! sin10 should be the same as dipmin (see cons.F)
-!
-#if (NLAT==36 && NLON==72)
-      real,parameter :: sin10=0.17   ! 5.0 deg horizontal resolution
-#elif (NLAT==72 && NLON==144)
-      real,parameter :: sin10=0.24   ! 2.5 deg horizontal resolution
-#else
-      UNKNOWN NLAT,NLON      ! compilation will stop here if unknown res
-#endif
-      real :: cos10
+      real :: cosdipmin
 !
 ! Field are calculated in local arrays dimensioned -1:nlonp2, then transferred 
 !   to module data bx,by,bz,bmod2 at 1:nlonp4 for use in the model.
@@ -135,7 +118,7 @@ subroutine magdyn
       real,dimension(-1:nlonp2,-1:nlatp2) :: bxtmp,bytmp,bztmp,bmod2tmp
       integer :: i,j
 !
-      cos10 = sqrt(1.-sin10**2)
+      cosdipmin = sqrt(1.-dipmin**2)
       do j = 1,nlat
         do i = 1,nlon
           rlatm(i+2,j) = alatm(i,j)
@@ -152,10 +135,10 @@ subroutine magdyn
           bmod2tmp(i,j) = bmod(i,j)
 !
 ! Set minimum dip to 10 degrees
-          if (abs(bztmp(i,j))-sin10 < 0.) then
-            bxtmp(i,j)=bxtmp(i,j)*(cos10/sqrt(1.-bztmp(i,j)**2))
-            bytmp(i,j)=bytmp(i,j)*(cos10/sqrt(1.-bztmp(i,j)**2))
-            bztmp(i,j)=sign(sin10,bztmp(i,j))
+          if (abs(bztmp(i,j))-dipmin < 0.) then
+            bxtmp(i,j)=bxtmp(i,j)*(cosdipmin/sqrt(1.-bztmp(i,j)**2))
+            bytmp(i,j)=bytmp(i,j)*(cosdipmin/sqrt(1.-bztmp(i,j)**2))
+            bztmp(i,j)=sign(dipmin,bztmp(i,j))
           endif
         enddo
       enddo
diff --git a/src/magpres_g.F b/src/magpres_g.F
index 2a3649c..7dd6266 100644
--- a/src/magpres_g.F
+++ b/src/magpres_g.F
@@ -42,9 +42,8 @@ subroutine magpres_grav(z,te,ti,ne,op,nplus,
      |  grav,       ! 870.cm/s^2 accel due to gravity (dep on l.bndry)
      |  boltz,      ! boltzman's constant  cm^2*g/s^2/K    
      |  rmass_o2 , rmass_o1, rmass_n2,  ! 32,16,28
-     |  rmass_n4s, rmass_no, rmass_op,   ! 14,30,16
+     |  rmass_n4s, rmass_no,            ! 14,30
      |  ylatg,  	! geographic latitudes (radians)
-     |  ylong,    	! geographic longitudes (radians)
      |  dlatg,dlong,    ! pi/float(nlat) 2.*pi/float(nlon)
      |  re,             ! earth radius (cm)  6.37122e8  
      |  r0,             ! r_e+h0
@@ -59,11 +58,7 @@ subroutine magpres_grav(z,te,ti,ne,op,nplus,
      |  dvec,     ! d_1,d_2 referenced to h_0 (nlonp1,nlat,3,2)
      |  dddarr    ! D referenced to h_0 (nlonp1,nlat) 
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_periodic_f3d
-#else
-      use params_module,only: nlon,nlonp2
-#endif     
       implicit none
 !
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
@@ -298,7 +293,6 @@ subroutine magpres_grav(z,te,ti,ne,op,nplus,
       enddo  ! lat-loop
 !
 ! periodic point longitude
-#ifdef MPI
       ftmp(:,:,:,1) = je1oD_geo(:,lon0:lon1,lat0:lat1)
       ftmp(:,:,:,2) = je2oD_geo(:,lon0:lon1,lat0:lat1)
 
@@ -306,16 +300,6 @@ subroutine magpres_grav(z,te,ti,ne,op,nplus,
 
       je1oD_geo(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,1)
       je2oD_geo(:,lon0:lon1,lat0:lat1) = ftmp(:,:,:,2)
-#else	
-      do lat=lat0,lat1
-        do i=1,2
-          je1oD_geo(:,i,lat)	    = je1oD_geo(:,nlon+i,lat)
-          je1oD_geo(:,nlonp2+i,lat) = je1oD_geo(:,i+2,lat)
-          je2oD_geo(:,i,lat)	    = je2oD_geo(:,nlon+i,lat)
-          je2oD_geo(:,nlonp2+i,lat) = je2oD_geo(:,i+2,lat)
-        enddo
-      enddo
-#endif
 !      
 !     do lat=lat0,lat1
 !       call addfld('je1oD_pg_geo' ,'je1oD_pg_geo','A/cm^2',je1oD_geo
diff --git a/src/minor.F b/src/minor.F
index 2961eeb..a6f893d 100644
--- a/src/minor.F
+++ b/src/minor.F
@@ -1,7 +1,7 @@
 !
-      subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
-     |  fcomp_tm1_out,sloss,sprod,flbc,fubc,rmx,phix,alfax,lev0,lev1,
-     |  lon0,lon1,lat0,lat1,idebug,name)
+      subroutine minor(tn,o2,o1,he,mbar,barm,xnmbar,w,fcomp,fcomp_tm1,
+     |  fcomp_out,fcomp_tm1_out,sloss,sprod,flbc,fubc,rmx,phix,alfax,
+     |  lev0,lev1,lon0,lon1,lat0,lat1,idebug,name)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -10,19 +10,17 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 ! Advance minor species fcomp by one time step.
 ! This is called from comp_no and comp_n4s.
 !
-      use params_module,only: nlat,nlon,nlonp4,dlat,glat
+      use params_module,only: nlonp4,dlat,glat
       use lbc,only: b,fb ! b(nlonp4,2,2), fb(nlonp4,2)
       use cons_module,only: rmassinv_o2,rmassinv_o1,rmassinv_n2,dzp,
-     |  boltz,p0,expz,rmass_o2,rmass_o1,rmass_n2,hor,dtr,pi,shapiro,
+     |  p0,expz,rmass_o2,rmass_o1,rmass_n2,hor,dtr,pi,shapiro,
      |  difk,expzmid_inv,expzmid,dtx2inv,grav,avo,dtsmooth,
-     |  dtsmooth_div2,difhor,kut,rmassinv_he
+     |  dtsmooth_div2,difhor,rmassinv_he
       use init_module,only: iday
-      use fields_module,only: w,itc,itp,tlbc
+      use fields_module,only: tlbc
       use addfld_module,only: addfld
-#ifdef MPI
       use mpi_module,only: mp_bndlons_f3d, mp_periodic_f3d,
      |  mp_periodic_f2d
-#endif
 !
 ! VT means vampir tracing:
 !
@@ -40,8 +38,11 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
      |  tn,       ! neutral temperature (deg K)
      |  o2,       ! molecular oxygen (mmr)
      |  o1,       ! atomic oxygen (mmr)
-     |  n2,       ! molecular nitrogen (mmr)
      |  he,       ! helium (mmr)
+     |  mbar,     ! mean molecular weight
+     |  barm,     ! mean molecular weight
+     |  xnmbar,   ! p0*e(-z)*mbar/kT
+     |  w,        ! vertical wind
      |  fcomp,    ! input species (for finite diffs in advec)
      |  fcomp_tm1 ! input species at time n-1 
 !
@@ -78,7 +79,7 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 !
       integer :: nk,nkm1,nlevs
       real,parameter :: small=1.e-12, tau=1.86e+3, t00=273.
-      real :: salfa12,salfa21,salfax1,salfax2,rlat,dfac
+      real :: salfa12,salfa21,salfax1,salfax2,rlat
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  hadvec,   ! horizontal advection (output of sub advec) (s13)
      |  do2dz,    ! do2/dz(k)    (s6)
@@ -86,8 +87,8 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
      |  pso2,     ! o2           (s8)
      |  pso1,     ! o1           (s9)
      |  dmdz,     ! dm/dz(k)     (s10)
-     |  xmbar_k,  ! mbar (k)     (s11)
-     |  xmbar_kh, ! mbar (k+1/2) (s12)
+     |  xmbar_k,  ! barm (k)     (s11)
+     |  xmbar_kh, ! mbar (k)     (s12)
      |  tni,      ! tn (k)       (s5)
      |  s0prod,   ! sprod*mx/nmbar (s15)
      |  alfa11,alfa12,alfa21,alfa22, ! (s1,s2,s3,s4)
@@ -159,7 +160,6 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 
       enddo ! lat=lat0,lat1
 !------------------------- End first latitude scan ---------------------
-#ifdef MPI
 !
 ! Get subdomain boundary longitudes for ftm1_jdif, to complete shapiro
 ! time smoother. (mp_periodic_f3d call opened up 8/31/11)
@@ -167,7 +167,6 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
       call mp_periodic_f3d(ftm1_jdif(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
       call mp_bndlons_f3d(ftm1_jdif,nlevs,lon0,lon1,lat0,lat1,1,0)
-#endif
 !----------------------- Begin second latitude scan --------------------
       do lat=lat0,lat1
 !       write(6,"('Minor second latitude scan: lat=',i3)") lat
@@ -190,15 +189,13 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 ! Horizontal advection (pass k vs i slices at full task subdomain 
 ! longitudes, and the 5 latitudes centered over the current latitude).
 !
-      call advec(fcomp(:,:,lat-2:lat+2),hadvec,lev0,lev1,lon0,lon1,
-     |  lat,0)
+      call advec(fcomp(:,:,lat-2:lat+2),hadvec,lev0,lev1,lon0,lon1,lat)
 !
 ! Periodic points for advection:
-#ifdef MPI
+!
 ! Oct, 2010: Comment this call to prevent divergence in N4S and NO
 !   between runs w/ different numbers of processors (see also divrg.F):
 !     call mp_periodic_f2d(hadvec,lon0,lon1,lat,lat)
-#endif
 !
 ! Set periodic points to zero:
 !     if (lon0==1) hadvec(:,lon0:lon0+1) = 0.
@@ -227,14 +224,11 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
      |     bhe(i)*rmassinv_he)
       enddo ! i=lon0,lon1
 !
-! xmbar_kh = mbar(k+1/2):
+! xmbar_kh = mbar, xmbar_k = barm:
       do i=lon0,lon1
         do k=lev0,lev1
-          xmbar_kh(k,i) = 1./
-     |      (o2(k,i,lat)*rmassinv_o2+
-     |       o1(k,i,lat)*rmassinv_o1+
-     |       n2(k,i,lat)*rmassinv_n2+
-     |       he(k,i,lat)*rmassinv_he)
+          xmbar_kh(k,i) = mbar(k,i,lat)
+          xmbar_k(k,i) = barm(k,i,lat)
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 !
@@ -255,7 +249,6 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 ! Levels 2 -> lev1:
       do i=lon0,lon1
         do k=lev0+1,lev1
-          xmbar_k(k,i) = .5*(xmbar_kh(k,i)+xmbar_kh(k-1,i))
           dmdz(k,i) = (xmbar_kh(k,i)-xmbar_kh(k-1,i))/dzp
           pso1(k,i) = .5*(o1(k,i,lat)+o1(k-1,i,lat))
           pso2(k,i) = .5*(o2(k,i,lat)+o2(k-1,i,lat))
@@ -294,8 +287,7 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
  
       do i=lon0,lon1
         do k=lev0,lev1-1
-          s0prod(k,i) = sprod(k,i,lat)*rmx*boltz*tn(k,i,lat)/  ! s15
-     |      (p0*expz(k)*xmbar_kh(k,i))
+          s0prod(k,i) = sprod(k,i,lat)*rmx/xnmbar(k,i,lat)  ! s15
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
@@ -386,12 +378,12 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 ! s1
           p_coef(k,i) = ax(k,i)/dzp*(1./dzp+.5*thdiff(k,i))-expz(k)*
      |      (expzmid_inv*difk(k,iday)*dfactor(i)*(1./dzp-.5*dmdz(k,i))+
-     |      0.25*(w(k,i,lat,itc)+w(k+1,i,lat,itc)))/
+     |      0.25*(w(k,i,lat)+w(k+1,i,lat)))/
      |      dzp
 ! s3
           r_coef(k,i) = ax(k+1,i)/dzp*(1./dzp-.5*thdiff(k+1,i))-expz(k)*
      |      (expzmid*difk(k+1,iday)*dfactor(i)*(1./dzp+.5*dmdz(k+1,i))-
-     |      0.25*(w(k,i,lat,itc)+w(k+1,i,lat,itc)))/
+     |      0.25*(w(k,i,lat)+w(k+1,i,lat)))/
      |      dzp
 ! s2
           q_coef(k,i) = 
@@ -429,7 +421,7 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
         call addfld('FSMOOTH',' ',' ',
      |    ftm1_smooth(lev0:lev1-1,lon0:lon1,lat),
      |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-        call addfld('W_OMEGA',' ',' ',w(lev0:lev1,lon0:lon1,lat,itc),
+        call addfld('W_OMEGA',' ',' ',w(lev0:lev1,lon0:lon1,lat),
      |    'lev',lev0,lev1,'lon',lon0,lon1,lat)
         call addfld('P_COEF' ,' ',' ',p_coef(lev0:lev1-1,:),
      |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
@@ -461,7 +453,7 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 ! not including ghost cells.
 !
       call filter_minor(fcomp_out(:,lon0:lon1,lat0:lat1),
-     |  lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
+     |  lev0,lev1,lon0,lon1,lat0,lat1,name)
 !
 !----------------------- Begin third latitude scan --------------------
       do lat=lat0,lat1
@@ -488,12 +480,10 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 !----------------------- End third latitude scan ----------------------
 !
 ! Periodic points for fcomp_out and fcomp_tm1_out:
-#ifdef MPI
       call mp_periodic_f3d(fcomp_out(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
       call mp_periodic_f3d(fcomp_tm1_out(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
-#endif
 !
 !----------------------- Begin fourth latitude scan --------------------
       do lat=lat0,lat1
@@ -537,25 +527,17 @@ subroutine minor(tn,o2,o1,n2,he,fcomp,fcomp_tm1,fcomp_out,
 !
       end subroutine minor
 !-----------------------------------------------------------------------
-      subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,
-     |  name)
+      subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 !
 ! Filter minor species (called from minor after trsolv)
 !
-      use params_module,only: nlonp4,nlon,nlat
-      use filter_module,only: filter2
+      use params_module,only: nlonp4
 !
-#ifdef MPI
       use mpi_module,only: mp_gatherlons_f3d,mp_scatterlons_f3d,mytidi
       implicit none
-#else
-      implicit none
-      integer :: mytidi=0
-#endif
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
-      integer,intent(in) :: kut(nlat)
       real,intent(inout) :: fout(lev0:lev1,lon0:lon1,lat0:lat1)
       character(len=*),intent(in) :: name
 !
@@ -568,7 +550,6 @@ subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,
 ! Local:
       integer :: i,j,ier
       real :: f_ik(nlonp4,lev0:lev1),f_kij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 123 ; state = 'filter_minor' ; activity='Filtering'
@@ -584,14 +565,11 @@ subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,
         enddo
       enddo
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(f_kij,lev0,lev1,lon0,lon1,lat0,lat1,1,name)
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
       if (mytidi==0) then
@@ -599,13 +577,12 @@ subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,
 ! Loop through subdomain latitudes:
         latscan: do j=lat0,lat1
 !
-! Define 2d array with all longitudes for filter2:
+! Define 2d array with all longitudes for filter:
           do i=1,nlonp4
             f_ik(i,:) = f_kij(:,i,j)
           enddo ! i=1,nlonp4
 !
-! Do the filtering (requires fft):
-          call filter2(f_ik,lev0,lev1,kut(j),j)
+          call ringfilter(f_ik,lev0,lev1,3,name,j)
 !
 ! Return filtered array to f_kij:
           do i=1,nlonp4
@@ -613,14 +590,12 @@ subroutine filter_minor(fout,lev0,lev1,lon0,lon1,lat0,lat1,kut,
           enddo ! i=1,nlonp4
         enddo latscan ! j=lat0,lat1
       endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
 !
       call mp_scatterlons_f3d(f_kij,lev0,lev1,lon0,lon1,lat0,lat1,1,
      |  name)
-#endif
 !
 ! Return filtered array to fout at current task longitudes:
       do j=lat0,lat1
diff --git a/src/mk_polelat.F b/src/mk_polelat.F
index 243d0d5..7bd2193 100644
--- a/src/mk_polelat.F
+++ b/src/mk_polelat.F
@@ -7,7 +7,6 @@ subroutine mk_polelat(jnew,jold,ixt)
 !
       use params_module,only: nlon,nlevp1
       use fields_module,only: nf4d,f4d
-      use mpi_module,only: lon0,lon1
       implicit none
 !
 ! Make boundary latitude jnew, using jold, i.e., 
@@ -25,12 +24,11 @@ subroutine mk_polelat(jnew,jold,ixt)
 ! Locals:
       integer,parameter :: imaxh = nlon/2
       integer :: k,i,n,id,ilim
-      real :: sign
 !
 ! Fields loop:
       ilim = nlon/2+2
-!     write(6,"(/,'mklatbnd: jnew=',i2,' jold=',i2,' lon0,1=',2i3,
-!    |  ' ilim=',i3)") jnew,jold,lon0,lon1,ilim
+!     write(6,"(/,'mklatbnd: jnew=',i2,' jold=',i2,' ilim=',i3)")
+!    |  jnew,jold,ilim
       field_loop: do n=1,nf4d
         if (f4d(n)%polesign==0.) cycle field_loop
         do k=1,nlevp1
diff --git a/src/mkhvols.F b/src/mkhvols.F
index f97807a..dbcdfc3 100644
--- a/src/mkhvols.F
+++ b/src/mkhvols.F
@@ -92,7 +92,7 @@ subroutine encode_str(str,num,ndigits)
       character(len=*),intent(inout) :: str
       character(len=len(str)) :: newstr
       integer,intent(in) :: num,ndigits
-      integer :: i,ipos,ndollar
+      integer :: ipos,ndollar
       character(len=16) :: format,numstr
 !
       if (ndigits<=0) return
@@ -112,7 +112,7 @@ end subroutine encode_str
       subroutine replace_substr(s,subold,subnew,sout)
       character(len=*),intent(in) :: s,subold,subnew
       character(len=*),intent(out) :: sout
-      integer :: i,ii,ipos,lonsubnew,lensubold,lens
+      integer :: i,ii,ipos,lensubold,lens
 !
 ! Init sout to input s:
       sout = s
diff --git a/src/mpi.F b/src/mpi.F
index 4c57f85..5de80ac 100644
--- a/src/mpi.F
+++ b/src/mpi.F
@@ -8,22 +8,32 @@ module mpi_module
 ! Perform message-passing and related operations in distributed memory 
 !   system, e.g., AIX.
 !
-      use params_module
+      use params_module,only: nlevp1,nlon,nlonp4,nlat,
+     |  nmlevp1,nmlonp1,nmlat,nmlath,gmlat
       use fields_module,only: fields_4d,fields_3d,f4d,f3d,nf3d,
-     |  nf4d,nf4d_hist,fsechist,foutput,tlbc,ulbc,vlbc,tlbc_glb,
-     |  ulbc_glb,vlbc_glb,emphi3d,emlam3d,emz3d,fzg,tlbc_nm,ulbc_nm,
-     |  vlbc_nm,tlbc_nm_glb,ulbc_nm_glb,vlbc_nm_glb
-#ifdef MPI
+     |  nf4d,nf4d_hist,fsechist,foutput,tlbc,ulbc,vlbc,
+     |  emphi3d,emlam3d,emz3d,fzg,tlbc_nm,ulbc_nm,vlbc_nm,
+     |  gzigm1,gzigm2,gnsrhs
       use mpi
-#endif
       use hist_module,only: nfsech
       use input_module,only: ntask_lat,ntask_lon,
      |  ntask_maglat,ntask_maglon
       implicit none
-#ifdef MPI
+!
       integer ::
-     |  irstat(MPI_STATUS_SIZE)      ! mpi receive status
-#endif
+     |  irstat(MPI_STATUS_SIZE),      ! mpi receive status
+     |  TIEGCM_WORLD,                 ! tiegcm's communicator
+     |  mixCplComm, mixCplRank        ! mix coupling communicator
+!
+! Since model names are relatively unique, I'm going to try assigning AppId
+! via word value as calculated using a simple letter to number conversion
+! e.g. A = 1, B= 2, C = 3
+! Current model values are:
+! TIEGCM = 57, GAMERA = 45, HIDRA = 40, REMIX = 69, VOLTRON = 116, RCM = 34
+      integer, parameter :: ! For MPI-based coupling tag
+     |  myAppId = 57,       ! tiegcmID
+     |  voltId  = 116,      ! voltronID
+     |  gamId   = 45        ! gameraID
 !
 ! VT means vampir tracing:
 !
@@ -101,6 +111,7 @@ module mpi_module
      |  time_gather2root_sech = 0.,
      |  time_gather2root_lbc = 0.,
      |  time_bndlats = 0.,
+     |  time_bndlats_f3d = 0.,
      |  time_bndlats_f2d = 0.,
      |  time_bndlons = 0.,
      |  time_bndlons_f3d = 0.,
@@ -127,15 +138,12 @@ module mpi_module
      |  time_geo_halos_f3d = 0.,
      |  time_scatter_coeffs = 0.,
      |  time_scatter_phim = 0.,
-     |  time_bndlats_kmh = 0.,
-     |  time_bndlons_kmh = 0.,
      |  time_mag_jslot = 0.,
      |  time_gather_f2d = 0.,
      |  time_scatter_f2d = 0.
 !
 ! If not an mpi job, this module contains no subroutines.
 !
-#ifdef MPI
       contains
 !-----------------------------------------------------------------------
       subroutine mp_init
@@ -143,9 +151,8 @@ subroutine mp_init
 ! Initialize mpi and get ntask and mytid (called from tgcm.F before input):
 !
 ! Local:
-      integer :: ier,n,j,i
-      integer,dimension(11) :: 
-     |  valid_pecounts=(/1,4,8,12,16,24,32,48,64,72,80/)
+      logical :: is_prime
+      integer :: ier,i,fullrank,color,mixCplCommSize,tmpComm
 !
       ier = 0
 #ifdef VT
@@ -161,25 +168,108 @@ subroutine mp_init
       write(6,"('mp_init: starting vampir tracing..')")
       call vttraceon(ier) ! start vampir tracing
 #endif
-      call mpi_comm_size(MPI_COMM_WORLD,ntask,ier)
+      call mpi_comm_rank(MPI_COMM_WORLD,fullrank,ier)
       if (ier /= 0) then
-        write(6,"('>>> Error from mpi_comm_size: ier=',i4)") ier
-        call shutdown('mpi_comm_size error')
+        write(6,"('>>> Error from mpi_comm_rank: ier=',i4)") ier
+        call shutdown('mpi_comm_rank error')
       endif
-      if (.not.any(ntask == valid_pecounts)) then
+
+! MPI_COMM_WORLD includes processes for other components (GAMERA/REMIX)
+! Divide it into several sub communicators for each component
+      call mpi_comm_split(MPI_COMM_WORLD,
+     |  myAppId,fullrank,TIEGCM_WORLD,ier)
+      if (ier /= 0) then
+        write(6,"('>>> Error from mpi_comm_split: ier=',i4)") ier
+        call shutdown('mpi_comm_split error')
+      endif
+! TIEGCM_WORLD is now the communicator for TIEGCM
+! If not coupled to MAGE, TIEGCM_WORLD is essentially MPI_COMM_WORLD
+! But with a different name (tag)
+
+      call mpi_comm_size(TIEGCM_WORLD,ntask,ier)
+      if (ier /= 0) then
+        write(6,"('>>> Error from mpi_comm_split: ier=',i4)") ier
+        call shutdown('mpi_comm_split error')
+      endif
+
+      is_prime = .true.
+      do i = 2,int(sqrt(dble(ntask)))
+        if (mod(ntask,i) == 0) then
+          is_prime = .false.
+          exit
+        endif
+      enddo
+      if (ntask/=1 .and. ntask/=2 .and. is_prime) then
         write(6,"(/,'>>> This model may not run properly or will ',
-     |    'perform poorly with nask=',i4,/,' Please either change ',
-     |    'valid_pecounts in sub mp_init of source file mpi.F,',/,
-     |    ' or use one of these processor counts for which the model ',
-     |    'has been validated:',/,(12i6))") ntask,valid_pecounts
+     |    'perform poorly with nask=',i4,/,' Please use another ',
+     |    'processor count')") ntask
         call shutdown('invalid ntask')
       endif
 
-      call mpi_comm_rank(MPI_COMM_WORLD,mytid,ier)
+      call mpi_comm_rank(TIEGCM_WORLD,mytid,ier)
       if (ier /= 0) then
         write(6,"('>>> Error from mpi_comm_rank: ier=',i4)") ier
         call shutdown('mpi_comm_rank error')
       endif
+
+! Create a second communicator to transfer data between TIEGCM and REMIX
+! This communicator only includes the root processes
+! TIEGCM root sends/receives data from/to REMIX root
+      if (mytid == 0) then
+        color = myAppId+voltID ! Unique ID on both sides (TIEGCM/VOLTRON)
+      else
+        color = MPI_UNDEFINED  ! No message passing on other processes
+      endif
+      call mpi_comm_split(MPI_COMM_WORLD,color,mytid,mixCplComm,ier)
+      if (ier /= 0) then
+        write(6,"('>>> Error from mpi_comm_split: ier=',i4)") ier
+        call shutdown('mpi_comm_split error')
+      endif
+
+! This can only happen to the root (mytid == 0)
+      if (mixCplComm /= MPI_COMM_NULL) then
+        call mpi_comm_size(mixCplComm,mixCplCommSize,ier)
+        if (ier /= 0) then
+          write(6,"('>>> Error from mpi_comm_size: ier=',i4)") ier
+          call shutdown('mpi_comm_size error')
+        endif
+
+! At most two processes will register in mixCplComm (TIEGCM root, REMIX root)
+! Therefore mixCplCommSize is either 1 or 2
+        if (mixCplCommSize == 1) then
+
+! Only one process registered in mixCplComm (TIEGCM root)
+! No coupling will take place, free up the resources
+          call mpi_comm_free(mixCplComm,ier)
+          if (ier /= 0) then
+            write(6,"('>>> Error from mpi_comm_free: ier=',i4)") ier
+            call shutdown('mpi_comm_free error')
+          endif
+          mixCplComm = MPI_COMM_NULL
+        else
+
+! There is another process registered in mixCplComm (REMIX root)
+          call mpi_comm_rank(mixCplComm,mixCplRank,ier)
+          if (ier /= 0) then
+            write(6,"('>>> Error from mpi_comm_rank: ier=',i4)") ier
+            call shutdown('mpi_comm_rank error')
+          endif
+
+          write(6,"('TIEGCM: mixCplComm,mixCplCommSize,mixCplRank,tag=',
+     |      4i4)") mixCplComm,mixCplCommSize,mixCplRank,myAppId+voltID
+
+! mixCplRank is TIEGCM rank in mixCplComm
+! REMIX rank is the other (0/1)
+          mixCplRank = 1-mixCplRank
+        endif
+      endif
+!
+#ifdef GAMERA
+! gam2volt
+! WARNING THIS IS HARDCODED TO OCCUR ONCE. MAY CAUSE ISSUES WITH MULTIPLE COUPLINGS
+      call mpi_comm_split(MPI_COMM_WORLD, MPI_UNDEFINED, 
+     |  mytid, tmpComm, ier)
+#endif
 !
 ! Allocate array of tasks (user defined type(task)):
       allocate(tasks(0:ntask-1),stat=ier)
@@ -402,7 +492,7 @@ subroutine mp_distribute_mag
 !
 ! Create subgroup communicators for each task column:
 ! These communicators will be used by sub mp_mag_jslot (mpi.F).
-      call mpi_comm_split(MPI_COMM_WORLD,mod(mytid,nmagtaski),mytid,
+      call mpi_comm_split(TIEGCM_WORLD,mod(mytid,nmagtaski),mytid,
      |  cols_comm,ier)
       call MPI_Comm_rank(cols_comm,tidcol,ier)
 
@@ -423,7 +513,7 @@ subroutine mp_exchange_tasks(iprint)
 !   to all tasks (directly passing mpi derived data types is reportedly
 !   not stable, or not available until MPI 2.x).
 !
-      integer :: n,ier,i
+      integer :: n,ier
       integer,parameter :: len_task_type = 17 ! see type task above
       integer,allocatable,save ::
      |  itasks_send(:,:), ! send buffer
@@ -465,7 +555,7 @@ subroutine mp_exchange_tasks(iprint)
 ! Send itasks_send and receive itasks_recv:
       call mpi_alltoall(itasks_send,len_task_type,MPI_INTEGER,
      |                  itasks_recv,len_task_type,MPI_INTEGER,
-     |                  MPI_COMM_WORLD,ier)
+     |                  TIEGCM_WORLD,ier)
       if (ier /= 0)
      |  call handle_mpi_err(ier,'mpi_alltoall to send/recv itasks')
 !
@@ -598,15 +688,12 @@ subroutine mp_gather2root(ixt,type)
 !
       character(len=*),intent(in) :: type
 !
-! Local:
-      integer :: i
-!
 ! Gather for either primary and secondary histories.
 ! If primary, also gather f3d field subdomains zg to global fzg.
       if (trim(type)=='prim') then
          call mp_gather2root_prim(ixt)
       elseif(trim(type)=='sech') then
-         call mp_gather2root_sechist(ixt)
+         call mp_gather2root_sechist
       else
         write(6,"('mp_gather2root: unknown type ',a,' should be prim ',
      |    'or sech')")
@@ -615,7 +702,7 @@ subroutine mp_gather2root(ixt,type)
 !
 ! Gather lower boundary condition arrays tlbc,ulbc,vlbc and 
 ! tlbc_nm,ulbc_nm,vlbc_nm:
-      call mp_gather2root_lbc(ixt)
+      call mp_gather2root_lbc
 !
       end subroutine mp_gather2root
 !-----------------------------------------------------------------------      
@@ -629,10 +716,9 @@ subroutine mp_gather2root_prim(ixt)
       integer,intent(in) :: ixt
 !
 ! Local:
-      integer :: isrc,ireqrecv,ireqsend,ier,n,i,j,k,l,len,
+      integer :: ireqrecv,ireqsend,ier,n,i,len,
      |  ilon0,ilon1,ilat0,ilat1,nlons,nlats,msgtag
       integer :: idest = 0
-      real :: fmin,fmax
       real,allocatable,save :: rcvbuf(:,:,:,:),sndbuf(:,:,:,:)
       real :: starttime,endtime
 !
@@ -677,7 +763,7 @@ subroutine mp_gather2root_prim(ixt)
 ! Receive subdomains from slave tasks:
         do n=1,ntask-1   ! receive from slaves only
           msgtag = n
-          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,MPI_COMM_WORLD,
+          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,TIEGCM_WORLD,
      |      ireqrecv,ier)
           if (ier /= 0) 
      |      call handle_mpi_err(ier,'mp_gather2root irecv from n')
@@ -701,7 +787,7 @@ subroutine mp_gather2root_prim(ixt)
 !
 ! Root task stores data in full 3d grid array foutput. This is a pointer
 ! declared in fields module (fields.F), and allocated by the root task 
-! only in sub allocdata: foutput(nlevp1,nlonp4,nlat,nf4d).
+! only in sub allocdata: foutput(nlevp1,lon0:lon1,lat0:lat1,nf4d).
 !
             foutput(:,ilon0:ilon1,ilat0:ilat1,i) =
      |        rcvbuf(:,1:nlons,1:nlats,i)
@@ -736,7 +822,7 @@ subroutine mp_gather2root_prim(ixt)
 !
 ! Send to root:
         msgtag = mytid
-        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,MPI_COMM_WORLD,
+        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,TIEGCM_WORLD,
      |    ireqsend,ier)
         if (ier /= 0) 
      |    call handle_mpi_err(ier,'mp_gather2root_prim isend to root')
@@ -754,7 +840,7 @@ subroutine mp_gather2root_prim(ixt)
       endif
       end subroutine mp_gather2root_prim
 !-----------------------------------------------------------------------      
-      subroutine mp_gather2root_sechist(ixt)
+      subroutine mp_gather2root_sechist
 !
 ! Master task must collect all data (except its own) into its secondary 
 !   fields array fsechist(:)%data prior to writing a history. Slaves send 
@@ -765,14 +851,10 @@ subroutine mp_gather2root_sechist(ixt)
 !              instead of ilon0:ilon1,ilat0:ilat1. This was causing slave
 !              tasks to hang on deallocation of sndbuf.
 !
-! Args:
-      integer,intent(in) :: ixt
-!
 ! Local:
-      integer :: isrc,ireqrecv,ireqsend,ier,n,i,j,k,l,len,ilon0,ilon1,
+      integer :: ireqrecv,ireqsend,ier,n,i,len,ilon0,ilon1,
      |  ilat0,ilat1,msgtag,nlons,nlats,nlevs,maxlon,maxlat,maxlev
       integer :: idest = 0
-      real :: fmin,fmax
       real :: starttime,endtime
       real,allocatable,save :: rcvbuf(:,:,:,:),sndbuf(:,:,:,:)
 
@@ -810,7 +892,7 @@ subroutine mp_gather2root_sechist(ixt)
 !
         do n=1,ntask-1   ! receive from slaves only
           msgtag = n
-          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,MPI_COMM_WORLD,
+          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,TIEGCM_WORLD,
      |      ireqrecv,ier)
           if (ier /= 0) 
      |      call handle_mpi_err(ier,'mp_gather2root_sech irecv from n')
@@ -902,7 +984,7 @@ subroutine mp_gather2root_sechist(ixt)
 !
 ! Send to root:
         msgtag = mytid
-        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,MPI_COMM_WORLD,
+        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,TIEGCM_WORLD,
      |    ireqsend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_gather2root isend to root')
@@ -918,39 +1000,39 @@ subroutine mp_gather2root_sechist(ixt)
       endif
       end subroutine mp_gather2root_sechist
 !-----------------------------------------------------------------------
-      subroutine mp_gather2root_lbc(ixt)
+      subroutine mp_gather2root_lbc
 !
 ! Gather t,u,v lbc at t and t-1 to root task (tlbc,ulbc,vlbc subdomains are gathered
 ! to tlbc_glb,ulbc_glb,vlbc_glb and tlbc_nm_glb,ulbc_nm_glb,vlbc_nm_glb , see fields.F)
 !
-! Args:
-      integer,intent(in) :: ixt
-!
 ! Local:
       integer :: ier,len,msgtag,ireqrecv,nlats,nlons,ireqsend,
      |  ilat1,ilon0,n,ilat0,ilon1
       integer :: idest = 0
-      real :: fmin,fmax
       real :: starttime,endtime
       real,allocatable,save :: rcvbuf(:,:,:),sndbuf(:,:,:)
+      real,dimension(nlonp4,nlat) ::
+     |  tlbc_glb,ulbc_glb,vlbc_glb,
+     |  tlbc_nm_glb,ulbc_nm_glb,vlbc_nm_glb,
+     |  gzigm1_glb,gzigm2_glb,gnsrhs_glb
 
       if (mpi_timing) starttime = mpi_wtime()
 !
 ! Allocate send and receive buffers:
       if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(mxlon,mxlat,6),stat=ier)
+        allocate(rcvbuf(mxlon,mxlat,9),stat=ier)
         if (ier /= 0)
      |    write(6,"('>>> mp_gather2root_lbc: error allocating rcvbuf:',
      |      ' mxlon=',i3,' mxlat=',i3,' ier=',i4)") mxlon,mxlat,ier
       endif
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(mxlon,mxlat,6),stat=ier)
+        allocate(sndbuf(mxlon,mxlat,9),stat=ier)
         if (ier /= 0)
      |    write(6,"('>>> mp_gather2root_lbc: error allocating sndbuf:',
      |      ' mxlon=',i3,' mxlat=',i3,' ier=',i4)") mxlon,mxlat,ier
       endif
       rcvbuf = 0. ; sndbuf = 0.
-      len = mxlon*mxlat*6 ! buffer length
+      len = mxlon*mxlat*9 ! buffer length
 !
 ! Root receives from all other tasks:
       if (mytid==0) then ! root task
@@ -962,11 +1044,14 @@ subroutine mp_gather2root_lbc(ixt)
         tlbc_nm_glb(lon0:lon1,lat0:lat1) = tlbc_nm(lon0:lon1,lat0:lat1)
         ulbc_nm_glb(lon0:lon1,lat0:lat1) = ulbc_nm(lon0:lon1,lat0:lat1)
         vlbc_nm_glb(lon0:lon1,lat0:lat1) = vlbc_nm(lon0:lon1,lat0:lat1)
+        gzigm1_glb(lon0:lon1,lat0:lat1) = gzigm1(lon0:lon1,lat0:lat1)
+        gzigm2_glb(lon0:lon1,lat0:lat1) = gzigm2(lon0:lon1,lat0:lat1)
+        gnsrhs_glb(lon0:lon1,lat0:lat1) = gnsrhs(lon0:lon1,lat0:lat1)
 !
 ! Receive subdomains from slave tasks:
         do n=1,ntask-1   ! receive from slaves only
           msgtag = n
-          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,MPI_COMM_WORLD,
+          call mpi_irecv(rcvbuf,len,MPI_REAL8,n,msgtag,TIEGCM_WORLD,
      |      ireqrecv,ier)
           if (ier /= 0) 
      |      call handle_mpi_err(ier,'mp_gather2root_lbc irecv from n')
@@ -997,6 +1082,9 @@ subroutine mp_gather2root_lbc(ixt)
           tlbc_nm_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,4)
           ulbc_nm_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,5)
           vlbc_nm_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,6)
+          gzigm1_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,7)
+          gzigm2_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,8)
+          gnsrhs_glb(ilon0:ilon1,ilat0:ilat1)=rcvbuf(1:nlons,1:nlats,9)
         enddo ! n=1,ntask-1
 !
 ! Non-root tasks send to master:
@@ -1014,10 +1102,13 @@ subroutine mp_gather2root_lbc(ixt)
         sndbuf(1:nlons,1:nlats,4) = tlbc_nm(lon0:lon1,lat0:lat1)
         sndbuf(1:nlons,1:nlats,5) = ulbc_nm(lon0:lon1,lat0:lat1)
         sndbuf(1:nlons,1:nlats,6) = vlbc_nm(lon0:lon1,lat0:lat1)
+        sndbuf(1:nlons,1:nlats,7) = gzigm1(lon0:lon1,lat0:lat1)
+        sndbuf(1:nlons,1:nlats,8) = gzigm2(lon0:lon1,lat0:lat1)
+        sndbuf(1:nlons,1:nlats,9) = gnsrhs(lon0:lon1,lat0:lat1)
 !
 ! Send to root:
         msgtag = mytid
-        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,MPI_COMM_WORLD,
+        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,TIEGCM_WORLD,
      |    ireqsend,ier)
         if (ier /= 0) 
      |    call handle_mpi_err(ier,'mp_gather2root_lbc isend to root')
@@ -1101,7 +1192,7 @@ subroutine mp_gather_f2d(f2d_sub,f2d_glb,lb1,ub1,lb2,ub2,
 ! Do the gather:      
       len = mxsub1*mxsub2*nf ! max size of 2d subdomain
       call mpi_gather(sndbuf,len,MPI_REAL8,rcvbuf,len,MPI_REAL8,root,
-     |  MPI_COMM_WORLD,ier)
+     |  TIEGCM_WORLD,ier)
 !
 ! Define global output on the root task from receive buffer of each task:
       if (mytid==root) then
@@ -1193,7 +1284,7 @@ subroutine mp_scatter_f2d(f2d_glb,f2d_sub,lb1,ub1,lb2,ub2,
 ! Do the scatter:
       len = mxsub1*mxsub2*nf ! max size of 2d subdomain
       call mpi_scatter(sndbuf,len,MPI_REAL8,rcvbuf,len,MPI_REAL8,root,
-     |  MPI_COMM_WORLD,ier)
+     |  TIEGCM_WORLD,ier)
 !
 ! Define output subdomains:
       do n=1,nf
@@ -1229,7 +1320,6 @@ subroutine mp_bndlats(f,mxf,ixt)
      |  sndbuf1(:,:,:,:), ! send buffer for lat1-1,lat1   (k,i,2,nf)
      |  rcvbuf0(:,:,:,:), ! recv buffer for lat0-2,lat0-1 (k,i,2,nf)
      |  rcvbuf1(:,:,:,:)  ! recv buffer for lat1+1,lat1+2 (k,i,2,nf)
-      real :: fmin,fmax
       real :: starttime,endtime
 !
 #ifdef VT
@@ -1291,22 +1381,22 @@ subroutine mp_bndlats(f,mxf,ixt)
       enddo
 !
 ! Send lat0:lat0+1 (sndbuf0) to jprev:
-      call mpi_isend(sndbuf0,len,MPI_REAL8,jprev,1,MPI_COMM_WORLD,
+      call mpi_isend(sndbuf0,len,MPI_REAL8,jprev,1,TIEGCM_WORLD,
      |  jsend0,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlats send0 to jprev')
 !
 ! Send lat1-1:lat1 (sndbuf1) to jnext:
-      call mpi_isend(sndbuf1,len,MPI_REAL8,jnext,1,MPI_COMM_WORLD,
+      call mpi_isend(sndbuf1,len,MPI_REAL8,jnext,1,TIEGCM_WORLD,
      |  jsend1,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlats send1 to jnext')
 !
 ! Receive lat0-2:lat0-1 (rcvbuf0) from jprev:
-      call mpi_irecv(rcvbuf0,len,MPI_REAL8,jprev,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvbuf0,len,MPI_REAL8,jprev,1,TIEGCM_WORLD,
      |  jrecv0,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlats recv0 fm jprev')
 !
 ! Receive lat1+1:lat1+2 (rcvbuf1) from jnext:
-      call mpi_irecv(rcvbuf1,len,MPI_REAL8,jnext,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvbuf1,len,MPI_REAL8,jnext,1,TIEGCM_WORLD,
      |  jrecv1,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlats recv1 fm jnext')
 !
@@ -1344,6 +1434,132 @@ subroutine mp_bndlats(f,mxf,ixt)
       call vtend(100,ier)
 #endif
       end subroutine mp_bndlats
+!-----------------------------------------------------------------------
+      subroutine mp_bndlats_f3d(f,id1,i0,i1,j0,j1,nf)
+!
+! Exchange boundary latitude data between tasks. 
+! Each task sends its lat0,lat0+1 data to task jprev, and its lat1-1,lat1
+!   data to jnext.
+! Each task receives its lat0-2,lat0-1 data from task jprev, and its
+!   lat1+1,lat1+2 data from task jnext.
+!
+! Args:
+      integer,intent(in) :: id1,i0,i1,j0,j1,nf
+      real,intent(inout) :: f(id1,i0-2:i1+2,j0-2:j1+2,nf)
+!
+! Local:
+      integer :: n,nlons,ier,len,jnext,jprev,jsend0,jsend1,
+     |  jrecv0,jrecv1
+      real,allocatable,save :: 
+     |  sndbuf0(:,:,:,:), ! send buffer for j0  ,j0+1 (id1,i,2,nf)
+     |  sndbuf1(:,:,:,:), ! send buffer for j1-1,j1   (id1,i,2,nf)
+     |  rcvbuf0(:,:,:,:), ! recv buffer for j0-2,j0-1 (id1,i,2,nf)
+     |  rcvbuf1(:,:,:,:)  ! recv buffer for j1+1,j1+2 (id1,i,2,nf)
+      real :: starttime,endtime
+      integer :: ireq(4),istat(MPI_STATUS_SIZE,4),nfsave=0
+!
+#ifdef VT
+!     call vtsymdef(100, 'mp_bndlats_f2d','Communication',ier)
+      call vtbegin(100,ier)
+#endif
+      if (mpi_timing) starttime = mpi_wtime()
+!
+! Allocate send and receive buffers (only fields with %mpi==true):
+! This may be called w/ different nf -- when nf is greater than the
+! previous nf, deallocate the buffers so they will be reallocated w/
+! the new larger nf (note 1:nf in the isend/irecv calls):
+!
+      if (nf > nfsave) then
+        if (allocated(sndbuf0)) deallocate(sndbuf0)
+        if (allocated(sndbuf1)) deallocate(sndbuf1)
+        if (allocated(rcvbuf0)) deallocate(rcvbuf0)
+        if (allocated(rcvbuf1)) deallocate(rcvbuf1)
+        nfsave = nf
+      endif
+      if (.not.allocated(sndbuf0)) then
+        allocate(sndbuf0(id1,mxlon,2,nf),stat=ier)
+        if (ier /= 0)
+     |    write(6,"('>>> mp_bndlats_f3d: error allocating sndbuf0.')")
+      endif
+      if (.not.allocated(sndbuf1)) then
+        allocate(sndbuf1(id1,mxlon,2,nf),stat=ier)
+        if (ier /= 0)
+     |    write(6,"('>>> mp_bndlats_f3d: error allocating sndbuf1.')")
+      endif
+      if (.not.allocated(rcvbuf0)) then
+        allocate(rcvbuf0(id1,mxlon,2,nf),stat=ier)
+        if (ier /= 0)
+     |    write(6,"('>>> mp_bndlats_f3d: error allocating rcvbuf0.')")
+      endif
+      if (.not.allocated(rcvbuf1)) then
+        allocate(rcvbuf1(id1,mxlon,2,nf),stat=ier)
+        if (ier /= 0)
+     |    write(6,"('>>> mp_bndlats_f3d: error allocating rcvbuf1.')")
+      endif
+      rcvbuf0 = 0. ; sndbuf0 = 0.
+      rcvbuf1 = 0. ; sndbuf1 = 0.
+      len    = id1*mxlon*2*nf
+      nlons = i1-i0+1
+!
+! Locate adjacent tasks (includes null tasks top and bottom)
+      jprev = itask_table(mytidi,mytidj-1) ! task above (south)
+      jnext = itask_table(mytidi,mytidj+1) ! task below (north)
+!
+! Load sndbuf0 with j0,j0+1 and sndbuf1 with j1-1,j1:
+      do n=1,nf
+        sndbuf0(:,1:nlons,:,n) = f(:,i0:i1,j0  :j0+1,n)
+        sndbuf1(:,1:nlons,:,n) = f(:,i0:i1,j1-1:j1  ,n)
+      enddo
+!
+! Send j0:j0+1 (sndbuf0) to jprev:
+      call mpi_isend(sndbuf0(:,:,:,1:nf),len,MPI_REAL8,jprev,1,
+     |  TIEGCM_WORLD,jsend0,ier)
+      if (ier /= 0) 
+     |  call handle_mpi_err(ier,'mp_bndlats_f3d send0 to jprev')
+!
+! Send j1-1:j1 (sndbuf1) to jnext:
+      call mpi_isend(sndbuf1(:,:,:,1:nf),len,MPI_REAL8,jnext,1,
+     |  TIEGCM_WORLD,jsend1,ier)
+      if (ier /= 0) 
+     |  call handle_mpi_err(ier,'mp_bndlats_f3d send1 to jnext')
+!
+! Receive j0-2:j0-1 (rcvbuf0) from jprev:
+      call mpi_irecv(rcvbuf0(:,:,:,1:nf),len,MPI_REAL8,jprev,1,
+     |  TIEGCM_WORLD,jrecv0,ier)
+      if (ier /= 0) 
+     |  call handle_mpi_err(ier,'mp_bndlats_f3d recv0 fm jprev')
+!
+! Receive j1+1:j1+2 (rcvbuf1) from jnext:
+      call mpi_irecv(rcvbuf1(:,:,:,1:nf),len,MPI_REAL8,jnext,1,
+     |  TIEGCM_WORLD,jrecv1,ier)
+      if (ier /= 0) 
+     |  call handle_mpi_err(ier,'mp_bndlats_f3d recv1 fm jnext')
+!
+! Wait for completions:
+! integer :: ireq(4),istat(4)
+      ireq = (/jsend0,jsend1,jrecv0,jrecv1/)
+      istat = 0
+      call mpi_waitall(4,ireq,istat,ier)
+      if (ier /= 0) call handle_mpi_err(ier,'mp_bndlats_f3d waitall')
+!
+! Copy j0-2:j0-1 from rcvbuf0, and j1+1:j1+2 from rcvbuf1:
+      do n=1,nf
+        if (j0 /= 1) then
+          f(:,i0:i1,j0-2:j0-1,n) = rcvbuf0(:,1:nlons,:,n)
+        endif
+        if (j1 /= nlat) then
+          f(:,i0:i1,j1+1:j1+2,n) = rcvbuf1(:,1:nlons,:,n)
+        endif
+      enddo
+      if (mpi_timing) then
+        endtime = mpi_wtime()
+        time_bndlats_f3d=time_bndlats_f3d+(endtime-starttime)
+      endif
+#ifdef VT
+!     call vtsymdef(100, 'mp_bndlats_f3d','Communication',ier)
+      call vtend(100,ier)
+#endif
+      end subroutine mp_bndlats_f3d
 !-----------------------------------------------------------------------
       subroutine mp_bndlats_f2d(f,i0,i1,j0,j1,nf)
 !
@@ -1358,14 +1574,13 @@ subroutine mp_bndlats_f2d(f,i0,i1,j0,j1,nf)
       real,intent(inout) :: f(i0-2:i1+2,j0-2:j1+2,nf)
 !
 ! Local:
-      integer :: n,nlons,ier,len,jnext,jprev,nflds,jsend0,jsend1,
+      integer :: n,nlons,ier,len,jnext,jprev,jsend0,jsend1,
      |  jrecv0,jrecv1
       real,allocatable,save :: 
      |  sndbuf0(:,:,:), ! send buffer for j0  ,j0+1 (i,2,nf)
      |  sndbuf1(:,:,:), ! send buffer for j1-1,j1   (i,2,nf)
      |  rcvbuf0(:,:,:), ! recv buffer for j0-2,j0-1 (i,2,nf)
      |  rcvbuf1(:,:,:)  ! recv buffer for j1+1,j1+2 (i,2,nf)
-      real :: fmin,fmax
       real :: starttime,endtime
       integer :: ireq(4),istat(MPI_STATUS_SIZE,4),nfsave=0
 !
@@ -1424,25 +1639,25 @@ subroutine mp_bndlats_f2d(f,i0,i1,j0,j1,nf)
 !
 ! Send j0:j0+1 (sndbuf0) to jprev:
       call mpi_isend(sndbuf0(:,:,1:nf),len,MPI_REAL8,jprev,1,
-     |  MPI_COMM_WORLD,jsend0,ier)
+     |  TIEGCM_WORLD,jsend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlats_f2d send0 to jprev')
 !
 ! Send j1-1:j1 (sndbuf1) to jnext:
       call mpi_isend(sndbuf1(:,:,1:nf),len,MPI_REAL8,jnext,1,
-     |  MPI_COMM_WORLD,jsend1,ier)
+     |  TIEGCM_WORLD,jsend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlats_f2d send1 to jnext')
 !
 ! Receive j0-2:j0-1 (rcvbuf0) from jprev:
       call mpi_irecv(rcvbuf0(:,:,1:nf),len,MPI_REAL8,jprev,1,
-     |  MPI_COMM_WORLD,jrecv0,ier)
+     |  TIEGCM_WORLD,jrecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlats_f2d recv0 fm jprev')
 !
 ! Receive j1+1:j1+2 (rcvbuf1) from jnext:
       call mpi_irecv(rcvbuf1(:,:,1:nf),len,MPI_REAL8,jnext,1,
-     |  MPI_COMM_WORLD,jrecv1,ier)
+     |  TIEGCM_WORLD,jrecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlats_f2d recv1 fm jnext')
 !
@@ -1498,7 +1713,6 @@ subroutine mp_bndlons(f,mxf,ixt)
      |  sndbuf1(:,:,:,:), ! send buffer for lon1-1,lon1   (k,2,j,nf)
      |  rcvbuf0(:,:,:,:), ! recv buffer for lon0-2,lon0-1 (k,2,j,nf)
      |  rcvbuf1(:,:,:,:)  ! recv buffer for lon1+1,lon1+2 (k,2,j,nf)
-      real :: fmin,fmax
       real :: starttime,endtime
 #ifdef VT
 !     call vtsymdef(101, 'mp_bndlons','Communication',ier)
@@ -1559,22 +1773,22 @@ subroutine mp_bndlons(f,mxf,ixt)
       enddo
 !
 ! Send lon0:lon0+1 (sndbuf0) to iprev:
-      call mpi_isend(sndbuf0,len,MPI_REAL8,iprev,1,MPI_COMM_WORLD,
+      call mpi_isend(sndbuf0,len,MPI_REAL8,iprev,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlons send0 to iprev')
 !
 ! Send lon1-1:lon1 (sndbuf1) to inext:
-      call mpi_isend(sndbuf1,len,MPI_REAL8,inext,1,MPI_COMM_WORLD,
+      call mpi_isend(sndbuf1,len,MPI_REAL8,inext,1,TIEGCM_WORLD,
      |  isend1,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlons send1 to inext')
 !
 ! Receive lon0-2:lon0-1 (rcvbuf0) from iprev:
-      call mpi_irecv(rcvbuf0,len,MPI_REAL8,iprev,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvbuf0,len,MPI_REAL8,iprev,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlons recv0 fm iprev')
 !
 ! Receive lon1+1:lon1+2 (rcvbuf1) from inext:
-      call mpi_irecv(rcvbuf1,len,MPI_REAL8,inext,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvbuf1,len,MPI_REAL8,inext,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) call handle_mpi_err(ier,'mp_bndlons recv1 fm inext')
 !
@@ -1728,25 +1942,25 @@ subroutine mp_bndlons_f3d(f,id1,i0,i1,j0,j1,nf,iprint)
 !
 ! Send i0:i0+1 (sndbuf0) to task iprev:
       call mpi_isend(sndbuf0(:,:,:,1:nf),len,MPI_REAL8,iprev,1,
-     |  MPI_COMM_WORLD,isend0,ier)
+     |  TIEGCM_WORLD,isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f3d send0 to iprev')
 !
 ! Send i1-1:i1 (sndbuf1) to task inext:
       call mpi_isend(sndbuf1(:,:,:,1:nf),len,MPI_REAL8,inext,1,
-     |  MPI_COMM_WORLD,isend1,ier)
+     |  TIEGCM_WORLD,isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f3d send1 to inext')
 !
 ! Receive i0-2:i0-1 (rcvbuf0) from task iprev:
       call mpi_irecv(rcvbuf0(:,:,:,1:nf),len,MPI_REAL8,iprev,1,
-     |  MPI_COMM_WORLD,irecv0,ier)
+     |  TIEGCM_WORLD,irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f3d recv0 fm iprev')
 !
 ! Receive i1+1:i1+2 (rcvbuf1) from task inext:
       call mpi_irecv(rcvbuf1(:,:,:,1:nf),len,MPI_REAL8,inext,1,
-     |  MPI_COMM_WORLD,irecv1,ier)
+     |  TIEGCM_WORLD,irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f3d recv1 fm inext')
 !
@@ -1811,16 +2025,14 @@ subroutine mp_bndlons_f2d(f,i0,i1,j0,j1,nf)
       real,intent(inout) :: f(i0-2:i1+2,j0-2:j1+2,nf)
 !
 ! Local:
-      integer :: n,ier,len,inext,iprev,isend0,isend1,nlats,j,
+      integer :: n,ier,len,inext,iprev,isend0,isend1,j,
      |  irecv0,irecv1,jbeg,jend,nfsave=0
       real,allocatable,save :: 
      |  sndbuf0(:,:,:), ! send buffer for i0  ,i0+1 (2,mxlat+4,nf)
      |  sndbuf1(:,:,:), ! send buffer for i1-1,i1   (2,mxlat+4,nf)
      |  rcvbuf0(:,:,:), ! recv buffer for i0-2,i0-1 (2,mxlat+4,nf)
      |  rcvbuf1(:,:,:)  ! recv buffer for i1+1,i1+2 (2,mxlat+4,nf)
-      real :: fmin,fmax
       integer :: ireq(4),istat(MPI_STATUS_SIZE,4)
-      integer :: j0_iprev,j1_iprev,j0_inext,j1_inext
       real :: starttime,endtime
 #ifdef VT
 !     call vtsymdef(102, 'mp_bndlons_f2d','Communication',ier)
@@ -1880,25 +2092,25 @@ subroutine mp_bndlons_f2d(f,i0,i1,j0,j1,nf)
 !
 ! Send i0:i0+1 (sndbuf0) to task iprev:
       call mpi_isend(sndbuf0(:,:,1:nf),len,MPI_REAL8,iprev,1,
-     |  MPI_COMM_WORLD,isend0,ier)
+     |  TIEGCM_WORLD,isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f2d send0 to iprev')
 !
 ! Send i1-1:i1 (sndbuf1) to task inext:
       call mpi_isend(sndbuf1(:,:,1:nf),len,MPI_REAL8,inext,1,
-     |  MPI_COMM_WORLD,isend1,ier)
+     |  TIEGCM_WORLD,isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f2d send1 to inext')
 !
 ! Receive i0-2:i0-1 (rcvbuf0) from task iprev:
       call mpi_irecv(rcvbuf0(:,:,1:nf),len,MPI_REAL8,iprev,1,
-     |  MPI_COMM_WORLD,irecv0,ier)
+     |  TIEGCM_WORLD,irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f2d recv0 fm iprev')
 !
 ! Receive i1+1:i1+2 (rcvbuf1) from task inext:
       call mpi_irecv(rcvbuf1(:,:,1:nf),len,MPI_REAL8,inext,1,
-     |  MPI_COMM_WORLD,irecv1,ier)
+     |  TIEGCM_WORLD,irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_bndlons_f2d recv1 fm inext')
 !
@@ -1926,7 +2138,7 @@ subroutine mp_bndlons_f2d(f,i0,i1,j0,j1,nf)
         time_bndlons_f2d=time_bndlons_f2d+(endtime-starttime)
       endif
 #ifdef VT
-!     call vtsymdef(102, 'mp_bndlons_f3d','Communication',ier)
+!     call vtsymdef(102, 'mp_bndlons_f2d','Communication',ier)
       call vtend(102,ier)
 #endif
       end subroutine mp_bndlons_f2d
@@ -1958,7 +2170,6 @@ subroutine mp_polelats(ixt)
       real,allocatable,save ::
      |  rcvbuf(:,:,:,:,:), ! recv for new lats on this task (k,ineed,2,nf,nt)
      |  sndbuf(:,:,:,:,:)  ! send for new lats on remote task (k,ihave,2,nf,nt)
-      real :: fmin,fmax,signchange
       real :: starttime,endtime
 
       if (mpi_timing) starttime = mpi_wtime()
@@ -2121,7 +2332,7 @@ subroutine mp_polelats(ixt)
           iit = iit+1
           itsend = itsend+1
           call mpi_isend(sndbuf(1,1,1,1,iit),lensend,MPI_REAL8,it,1,
-     |      MPI_COMM_WORLD,isend(iit),ier)
+     |      TIEGCM_WORLD,isend(iit),ier)
           if (ier /= 0) call handle_mpi_err(ier,'mp_polelats send')
         endif
       enddo
@@ -2133,7 +2344,7 @@ subroutine mp_polelats(ixt)
         if (irecvfm(1,it)/=-1.and.irecvfm(2,it)/=-1) then 
           iit = iit+1
           call mpi_irecv(rcvbuf(1,1,1,1,iit),lenrecv,MPI_REAL8,it,1,
-     |      MPI_COMM_WORLD,irecv(iit),ier)
+     |      TIEGCM_WORLD,irecv(iit),ier)
           if (ier /= 0) call handle_mpi_err(ier,'mp_polelats recv')
         endif
       enddo
@@ -2227,7 +2438,6 @@ subroutine mp_polelats_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf,
       real,allocatable,save ::
      |  rcvbuf(:,:,:,:,:), ! recv for new lats on this task (k,ineed,2,nf,nt)
      |  sndbuf(:,:,:,:,:)  ! send for new lats on remote task (k,ihave,2,nf,nt)
-      real :: fmin,fmax,signchange
       real :: starttime,endtime
 
       if (mpi_timing) starttime = mpi_wtime()
@@ -2397,7 +2607,7 @@ subroutine mp_polelats_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf,
           iit = iit+1
           itsend = itsend+1
           call mpi_isend(sndbuf(1,1,1,1,iit),lensend,MPI_REAL8,it,1,
-     |      MPI_COMM_WORLD,isend(iit),ier)
+     |      TIEGCM_WORLD,isend(iit),ier)
           if (ier /= 0) call handle_mpi_err(ier,'mp_polelats send')
         endif
       enddo
@@ -2409,7 +2619,7 @@ subroutine mp_polelats_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf,
         if (irecvfm(1,it)/=-1.and.irecvfm(2,it)/=-1) then 
           iit = iit+1
           call mpi_irecv(rcvbuf(1,1,1,1,iit),lenrecv,MPI_REAL8,it,1,
-     |      MPI_COMM_WORLD,irecv(iit),ier)
+     |      TIEGCM_WORLD,irecv(iit),ier)
           if (ier /= 0) call handle_mpi_err(ier,'mp_polelats recv')
         endif
       enddo
@@ -2492,18 +2702,13 @@ subroutine mp_gatherlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
       character(len=*),intent(in) :: name
 !
 ! Local:
-      integer :: i,k,j,n,nlons,nlats,nlonrecv,nlevs,len,idest,isrc,ier,
+      integer :: k,j,n,nlons,nlats,nlonrecv,nlevs,len,idest,isrc,ier,
      |  isend,irecv,itask,lonrecv0,lonrecv1,mtag
-      real :: fmin,fmax
       real :: starttime,endtime
       real,allocatable,save ::
      |  sndbuf(:,:,:,:), ! send buffer (nlevs,mxlon,mxlat,nflds)
      |  rcvbuf(:,:,:,:)  ! recv buffer (nlevs,mxlon,mxlat,nflds)
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer,parameter :: mxnf=7        ! 7 2d fields for CISM
-#else
-      integer,parameter :: mxnf=6        ! 6 2d fields
-#endif
+      integer,parameter :: mxnf=7        ! 7 2d fields for MAGE
 
 #ifdef VT
 !     call vtsymdef(106, 'mp_gatherlons_f3d','Communication',ier)
@@ -2566,7 +2771,7 @@ subroutine mp_gatherlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
         do itask=1,ntaski-1
           isrc = itask_table(itask,mytidj)
           mtag = isrc+mytid
-          call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,mtag,MPI_COMM_WORLD,
+          call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,mtag,TIEGCM_WORLD,
      |      irecv,ier)
           if (ier /= 0) 
      |      call handle_mpi_err(ier,'mp_gatherlons_f3d recv fm isrc')
@@ -2598,7 +2803,7 @@ subroutine mp_gatherlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
           enddo ! j=j0,j1
         enddo ! n=1,nflds
         mtag = idest+mytid
-        call mpi_isend(sndbuf,len,MPI_REAL8,idest,mtag,MPI_COMM_WORLD,
+        call mpi_isend(sndbuf,len,MPI_REAL8,idest,mtag,TIEGCM_WORLD,
      |    isend,ier)
         if (ier /= 0) 
      |    call handle_mpi_err(ier,'mp_gatherlons_f3d send0 to idest')
@@ -2630,9 +2835,8 @@ subroutine mp_scatterlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
       character(len=*),intent(in) :: name
 !
 ! Local:
-      integer :: i,k,j,n,nlevs,nlons,nlats,nlonsend,len,idest,isrc,ier,
+      integer :: k,j,n,nlevs,nlons,nlats,nlonsend,len,idest,isrc,ier,
      |  isend,irecv,itask,lonsend0,lonsend1,mtag
-      real :: fmin,fmax
       real :: starttime,endtime
       real,allocatable,save ::
      |  sndbuf(:,:,:,:), ! send buffer (nlevs,mxlon,nlats,nflds)
@@ -2706,7 +2910,7 @@ subroutine mp_scatterlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
             enddo ! j=j0,j1
           enddo ! n=1,nflds
           mtag = idest+mytid
-          call mpi_isend(sndbuf,len,MPI_REAL8,idest,mtag,MPI_COMM_WORLD,
+          call mpi_isend(sndbuf,len,MPI_REAL8,idest,mtag,TIEGCM_WORLD,
      |      isend,ier)
           if (ier /= 0) 
      |      call handle_mpi_err(ier,'mp_scatterlons_f3d send to idest')
@@ -2719,7 +2923,7 @@ subroutine mp_scatterlons_f3d(f,k0,k1,i0,i1,j0,j1,nflds,name)
       else
         isrc = itask_table(0,mytidj)
         mtag = isrc+mytid
-        call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,mtag,MPI_COMM_WORLD,
+        call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,mtag,TIEGCM_WORLD,
      |    irecv,ier)
         if (ier /= 0) 
      |    call handle_mpi_err(ier,'mp_scatterlons_f3d recv fm isrc')
@@ -2756,7 +2960,7 @@ subroutine mp_periodic_f4d(ixt)
       integer,intent(in) :: ixt
 !
 ! Local:
-      integer :: idest,isrc,isend,irecv,ier,i,j,jj,n,len,k,nlats,mtag,
+      integer :: idest,isrc,ier,j,jj,n,len,nlats,mtag,
      |  status(MPI_STATUS_SIZE)
       real,allocatable,save :: sndbuf(:,:,:,:) ! (nlevp1,nlats,nf4d_hist,2)
       real,allocatable,save :: rcvbuf(:,:,:,:) ! (nlevp1,nlats,nf4d_hist,2)
@@ -2822,7 +3026,7 @@ subroutine mp_periodic_f4d(ixt)
         isrc  = idest
         mtag = idest+mytid
         call mpi_sendrecv(sndbuf, len, MPI_REAL8, idest, mtag, rcvbuf,
-     |       len, MPI_REAL8, isrc, isrc+mytid+1, MPI_COMM_WORLD, status,
+     |       len, MPI_REAL8, isrc, isrc+mytid+1, TIEGCM_WORLD, status,
      |       ier)
         if (ier /= 0) call handle_mpi_err(ier,
      |      'mp_periodic_f4d sendrecv from west end')
@@ -2843,7 +3047,7 @@ subroutine mp_periodic_f4d(ixt)
         isrc  = idest
         mtag = idest+mytid+1
         call mpi_sendrecv(sndbuf, len, MPI_REAL8, idest, mtag, rcvbuf,
-     |       len, MPI_REAL8, isrc, isrc+mytid, MPI_COMM_WORLD, status,
+     |       len, MPI_REAL8, isrc, isrc+mytid, TIEGCM_WORLD, status,
      |       ier)
         if (ier /= 0) call handle_mpi_err(ier,
      |      'mp_periodic_f4d sendrecv from east end')
@@ -2902,7 +3106,6 @@ subroutine mp_periodic_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf)
       call vtbegin(109,ier)
 #endif
       if (mpi_timing) starttime = mpi_wtime()
-#ifdef MPI
 !
 ! Serial run of an MPI job (1 task):
       if (ntask==1) then
@@ -2914,7 +3117,6 @@ subroutine mp_periodic_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf)
         enddo
         return
       endif
-#endif
 !
 ! The restriction that every task must carry at least 4 longitudes
 ! means that tasks with mytidi==0 will have lons 1->4 and tasks 
@@ -2965,12 +3167,12 @@ subroutine mp_periodic_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf)
         enddo
 
         call mpi_isend(sndbuf(:,:,:,1:nf),len,MPI_REAL8,idest,1,
-     |    MPI_COMM_WORLD,isend,ier)
+     |    TIEGCM_WORLD,isend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f3d send to idest')
         isrc  = idest
         call mpi_irecv(rcvbuf(:,:,:,1:nf),len,MPI_REAL8,isrc,1,
-     |    MPI_COMM_WORLD,irecv,ier)
+     |    TIEGCM_WORLD,irecv,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f3d recv fm isrc')
 !
@@ -2989,12 +3191,12 @@ subroutine mp_periodic_f3d(f,lev0,lev1,lon0,lon1,lat0,lat1,nf)
         enddo
 
         call mpi_isend(sndbuf(:,:,:,1:nf),len,MPI_REAL8,idest,1,
-     |    MPI_COMM_WORLD,isend,ier)
+     |    TIEGCM_WORLD,isend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f3d send to idest')
         isrc  = idest
         call mpi_irecv(rcvbuf(:,:,:,1:nf),len,MPI_REAL8,isrc,1,
-     |    MPI_COMM_WORLD,irecv,ier)
+     |    TIEGCM_WORLD,irecv,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f3d recv fm isrc')
       endif
@@ -3108,12 +3310,12 @@ subroutine mp_periodic_f2d(f,lon0,lon1,lat0,lat1,nf)
           enddo ! j=lat0,lat1
         enddo
         call mpi_isend(sndbuf(:,:,1:nf),len,MPI_REAL8,idest,1,
-     |    MPI_COMM_WORLD,isend,ier)
+     |    TIEGCM_WORLD,isend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f2d send to idest')
         isrc  = idest
         call mpi_irecv(rcvbuf(:,:,1:nf),len,MPI_REAL8,isrc,1,
-     |    MPI_COMM_WORLD,irecv,ier)
+     |    TIEGCM_WORLD,irecv,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f2d recv fm isrc')
 !
@@ -3127,12 +3329,12 @@ subroutine mp_periodic_f2d(f,lon0,lon1,lat0,lat1,nf)
           enddo ! j=lat0,lat1
         enddo
         call mpi_isend(sndbuf(:,:,1:nf),len,MPI_REAL8,idest,1,
-     |    MPI_COMM_WORLD,isend,ier)
+     |    TIEGCM_WORLD,isend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f2d send to idest')
         isrc  = idest
         call mpi_irecv(rcvbuf(:,:,1:nf),len,MPI_REAL8,isrc,1,
-     |    MPI_COMM_WORLD,irecv,ier)
+     |    TIEGCM_WORLD,irecv,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f2d recv fm isrc')
       endif
@@ -3185,7 +3387,7 @@ subroutine mp_geo_halos(fmsub,lon0,lon1,lat0,lat1,nf)
      |  fmsub(lon0-2:lon1+2,lat0-2:lat1+2,nf)
 !
 ! Local:
-      integer :: i,j,ifld,west,east,north,south,len,isend0,isend1,
+      integer :: i,ifld,west,east,north,south,len,isend0,isend1,
      |  irecv0,irecv1,ier,nlats,istat(MPI_STATUS_SIZE,4),ireq(4),
      |  nlons
       real,dimension(2,lat1-lat0+1,nf) ::
@@ -3222,26 +3424,26 @@ subroutine mp_geo_halos(fmsub,lon0,lon1,lat0,lat1,nf)
       enddo ! ifld=1,nf
 !
 ! Send lon0:lon0+1 to the west:
-      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_geo_halos send lon0:lon0+1 to west')
 !
 ! Send lon1-1:lon1 to the east:
-      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |    isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_geo_halos send lon1-1:lon1 to east')
 !
 ! Recv lon0-2:lon0-1 from west:
-      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos recv lon0-2:lon0-1 from west')
 !
 ! Recv lon1+1:lon1+2 from east:
-      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
@@ -3308,28 +3510,28 @@ subroutine mp_geo_halos(fmsub,lon0,lon1,lat0,lat1,nf)
       enddo
 !
 ! Send lat0:lat0+1 to south:
-      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos send lat0:lat0+1 to south')
 !
 ! Send lat1-1:lat1 to north:
-      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos send lat1-1:lat1 to north')
 !
 ! Recv lat0-2:lat0-1 from south:
-      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos recv lat0-2:lat0-1 from south')
 !
 ! Recv lat1+1:lat1+2 from north:
-      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
@@ -3392,7 +3594,7 @@ subroutine mp_geo_halos_f3d(fmsub,lev0,lev1,lon0,lon1,lat0,lat1,
      |  fmsub(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2,nf)
 !
 ! Local:
-      integer :: k,i,j,ifld,west,east,north,south,len,isend0,isend1,
+      integer :: k,i,ifld,west,east,north,south,len,isend0,isend1,
      |  irecv0,irecv1,ier,nlats,istat(MPI_STATUS_SIZE,4),ireq(4),
      |  nlons
       real,dimension(lev0:lev1,2,lat1-lat0+1,nf) ::
@@ -3431,26 +3633,26 @@ subroutine mp_geo_halos_f3d(fmsub,lev0,lev1,lon0,lon1,lat0,lat1,
       enddo ! ifld=1,nf
 !
 ! Send lon0:lon0+1 to the west:
-      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) call handle_mpi_err(ier,
      |  'mp_geo_halos_f3d send lon0:lon0+1 to west')
 !
 ! Send lon1-1:lon1 to the east:
-      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |    isend1,ier)
       if (ier /= 0) call handle_mpi_err(ier,
      |  'mp_geo_halos_f3d send lon1-1:lon1 to east')
 !
 ! Recv lon0-2:lon0-1 from west:
-      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos_f3d recv lon0-2:lon0-1 from west')
 !
 ! Recv lon1+1:lon1+2 from east:
-      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
@@ -3509,28 +3711,28 @@ subroutine mp_geo_halos_f3d(fmsub,lev0,lev1,lon0,lon1,lat0,lat1,
       enddo
 !
 ! Send lat0:lat0+1 to south:
-      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos_f3d send lat0:lat0+1 to south')
 !
 ! Send lat1-1:lat1 to north:
-      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos_f3d send lat1-1:lat1 to north')
 !
 ! Recv lat0-2:lat0-1 from south:
-      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
      |    'mp_geo_halos_f3d recv lat0-2:lat0-1 from south')
 !
 ! Recv lat1+1:lat1+2 from north:
-      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,
@@ -3639,7 +3841,7 @@ subroutine mp_mageq(fin,fout,nf,mlon0,mlon1,mlat0,mlat1,
           do itask=0,ntask-1
             if (itask /= mytid.and.tasks(itask)%mytidi==mytidi) then
               call mpi_isend(sndbuf,len,MPI_REAL8,itask,1,
-     |          MPI_COMM_WORLD,ireqsend,ier)
+     |          TIEGCM_WORLD,ireqsend,ier)
               if (ier /= 0) call handle_mpi_err(ier,'mp_mageq isend')
               call mpi_wait(ireqsend,irstat,ier)
             endif ! another task in mytidi
@@ -3654,7 +3856,7 @@ subroutine mp_mageq(fin,fout,nf,mlon0,mlon1,mlat0,mlat1,
           do j=tasks(itask)%mlat0,tasks(itask)%mlat1
             if (j == jlateq.and.tasks(itask)%mytidi==mytidi) then
               call mpi_irecv(rcvbuf,len,MPI_REAL8,itask,1,
-     |          MPI_COMM_WORLD,ireqrecv,ier)
+     |          TIEGCM_WORLD,ireqrecv,ier)
               if (ier /= 0) call handle_mpi_err(ier,'mp_mageq irecv')
               call mpi_wait(ireqrecv,irstat,ier)
               do n=1,nf
@@ -3710,60 +3912,39 @@ subroutine mp_mageq_jpm1(f,mlon0,mlon1,mlat0,mlat1,nmlonp1,
       real,intent(out) :: feq_jpm1(nmlonp1,2,nf) ! eq-1,eq+1
 !
 ! Local:
-      integer :: ifld,j,ier,len,jlateq,itask,i0,i1
-      real,allocatable,save :: sndbuf(:,:,:,:), rcvbuf(:,:,:,:)
+      integer :: j,ier,len,jlateq
+      real,allocatable,save :: sndbuf(:,:,:)
       real :: starttime,endtime
 
       if (mpi_timing) starttime = mpi_wtime()
 !
 ! Allocate buffers once per run:
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(nmlonp1,2,nf,0:ntask-1),stat=ier)
+        allocate(sndbuf(nmlonp1,2,nf),stat=ier)
         if (ier /= 0) 
      |    call shutdown('mp_mageq_jpm1 error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(nmlonp1,2,nf,0:ntask-1),stat=ier)
-        if (ier /= 0) 
-     |    call shutdown('mp_mageq_jpm1 error allocating rcvbuf')
       endif
       sndbuf = 0.
-      rcvbuf = 0.
+      feq_jpm1 = 0.
       len = nmlonp1*2*nf
 !
 ! Load send buffer w/ eq +/- 1 for current subdomain
-! (redundant to all tasks for alltoall)
 !
       jlateq = (nmlat+1)/2 
-      do itask=0,ntask-1
-        do j=mlat0,mlat1
-          if (j == jlateq+1) then     ! equator+1
-            sndbuf(mlon0:mlon1,1,:,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq-1) then ! equator-1
-            sndbuf(mlon0:mlon1,2,:,itask) = f(mlon0:mlon1,j,:)
-          endif ! j==jlateq
-        enddo ! j=mlat0,mlat1
-      enddo ! itask
+      do j=mlat0,mlat1
+        if (j == jlateq+1) then     ! equator+1
+          sndbuf(mlon0:mlon1,1,:) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq-1) then ! equator-1
+          sndbuf(mlon0:mlon1,2,:) = f(mlon0:mlon1,j,:)
+        endif ! j==jlateq
+      enddo ! j=mlat0,mlat1
 !
 ! Do the exchange:
-      call mpi_alltoall(sndbuf,len,MPI_REAL8,
-     |                  rcvbuf,len,MPI_REAL8,MPI_COMM_WORLD,ier)
+      call mpi_allreduce(sndbuf(:,:,1:nf),feq_jpm1(:,:,1:nf),len,
+     |  MPI_REAL8,MPI_SUM,TIEGCM_WORLD,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_mageq_jpm1 call mpi_alltoall')
-!
-! Unpack receive buffer to output feq_jpm1(nmlonp1,2,nf)   
-! rcvbuf(nmlonp1,2,nf,0:ntask-1)
-      do itask=0,ntask-1
-        i0 = tasks(itask)%mlon0 ; i1 = tasks(itask)%mlon1
-        do j=tasks(itask)%mlat0,tasks(itask)%mlat1
-          if (j == jlateq+1) then     ! equator+1
-            feq_jpm1(i0:i1,1,:) = rcvbuf(i0:i1,1,:,itask)
-          elseif (j == jlateq-1) then ! equator-1
-            feq_jpm1(i0:i1,2,:) = rcvbuf(i0:i1,2,:,itask)
-          endif
-        enddo ! j=mlat0,mlat1
-      enddo ! itask
-!
+     |  call handle_mpi_err(ier,'mp_mageq_jpm1 call mpi_allreduce')
+
 ! Periodic point:
       feq_jpm1(nmlonp1,:,:) = feq_jpm1(1,:,:)
 
@@ -3803,14 +3984,10 @@ subroutine mp_mageq_jpm3(f,mlon0,mlon1,mlat0,mlat1,nmlonp1,
       real,intent(out) :: feq_jpm3(nmlonp1,-3:3,nf)
 !
 ! Local:
-      integer :: ifld,j,ier,len,jlateq,itask,i0,i1
-      real,allocatable,save :: sndbuf(:,:,:,:), rcvbuf(:,:,:,:)
+      integer :: j,ier,len,jlateq
+      real,allocatable,save :: sndbuf(:,:,:)
       real :: starttime,endtime
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer,parameter :: mxnf=7        ! 7 2d fields for CISM
-#else
-      integer,parameter :: mxnf=6        ! 6 2d fields
-#endif
+      integer,parameter :: mxnf=7        ! 7 2d fields for MAGE
 
       if (mpi_timing) starttime = mpi_wtime()
 
@@ -3822,71 +3999,41 @@ subroutine mp_mageq_jpm3(f,mlon0,mlon1,mlat0,mlat1,nmlonp1,
 !
 ! Allocate buffers once per run (max number of fields):
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(nmlonp1,-3:3,mxnf,0:ntask-1),stat=ier)
+        allocate(sndbuf(nmlonp1,-3:3,mxnf),stat=ier)
         if (ier /= 0) 
      |    call shutdown('mp_mageq_jpm3 error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(nmlonp1,-3:3,mxnf,0:ntask-1),stat=ier) 
-        if (ier /= 0) 
-     |    call shutdown('mp_mageq_jpm3 error allocating rcvbuf')
       endif
       sndbuf = 0.
-      rcvbuf = 0.
+      feq_jpm3 = 0.
       len = nmlonp1*7*nf
 !
 ! Load send buffer w/ eq +/- 1 for current subdomain
-! (redundant to all tasks for alltoall)
 !
       jlateq = (nmlat+1)/2 
-      do itask=0,ntask-1
-        do j=mlat0,mlat1
-          if (j == jlateq-3) then       ! equator-3
-            sndbuf(mlon0:mlon1,-3,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq-2) then   ! equator-2
-            sndbuf(mlon0:mlon1,-2,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq-1) then   ! equator-1
-            sndbuf(mlon0:mlon1,-1,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq) then     ! equator
-            sndbuf(mlon0:mlon1,0,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq+1) then   ! equator
-            sndbuf(mlon0:mlon1,1,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq+2) then   ! equator
-            sndbuf(mlon0:mlon1,2,1:nf,itask) = f(mlon0:mlon1,j,:)
-          elseif (j == jlateq+3) then   ! equator
-            sndbuf(mlon0:mlon1,3,1:nf,itask) = f(mlon0:mlon1,j,:)
-          endif ! j==jlateq
-        enddo ! j=mlat0,mlat1
-      enddo ! itask
+      do j=mlat0,mlat1
+        if (j == jlateq-3) then       ! equator-3
+          sndbuf(mlon0:mlon1,-3,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq-2) then   ! equator-2
+          sndbuf(mlon0:mlon1,-2,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq-1) then   ! equator-1
+          sndbuf(mlon0:mlon1,-1,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq) then     ! equator
+          sndbuf(mlon0:mlon1,0,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq+1) then   ! equator
+          sndbuf(mlon0:mlon1,1,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq+2) then   ! equator
+          sndbuf(mlon0:mlon1,2,1:nf) = f(mlon0:mlon1,j,:)
+        elseif (j == jlateq+3) then   ! equator
+          sndbuf(mlon0:mlon1,3,1:nf) = f(mlon0:mlon1,j,:)
+        endif ! j==jlateq
+      enddo ! j=mlat0,mlat1
 !
 ! Do the exchange:
-      call mpi_alltoall(sndbuf(:,:,1:nf,:),len,MPI_REAL8,
-     |  rcvbuf(:,:,1:nf,:),len,MPI_REAL8,MPI_COMM_WORLD,ier)
+      call mpi_allreduce(sndbuf(:,:,1:nf),feq_jpm3(:,:,1:nf),len,
+     |  MPI_REAL8,MPI_SUM,TIEGCM_WORLD,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_mageq_jpm3 call mpi_alltoall')
-!
-! Unpack receive buffer to output feq_jpm3(nmlonp1,-3:3,nf)   
-! rcvbuf(nmlonp1,-3:3,nf,0:ntask-1)
-      do itask=0,ntask-1
-        i0 = tasks(itask)%mlon0 ; i1 = tasks(itask)%mlon1
-        do j=tasks(itask)%mlat0,tasks(itask)%mlat1
-          if (j == jlateq-3) then         ! equator-3
-            feq_jpm3(i0:i1,-3,:) = rcvbuf(i0:i1,-3,1:nf,itask)
-          elseif (j == jlateq-2) then     ! equator-2
-            feq_jpm3(i0:i1,-2,:) = rcvbuf(i0:i1,-2,1:nf,itask)
-          elseif (j == jlateq-1) then     ! equator-1
-            feq_jpm3(i0:i1,-1,:) = rcvbuf(i0:i1,-1,1:nf,itask)
-          elseif (j == jlateq) then       ! equator
-            feq_jpm3(i0:i1,0,:) = rcvbuf(i0:i1,0,1:nf,itask)
-          elseif (j == jlateq+1) then     ! equator+1
-            feq_jpm3(i0:i1,1,:) = rcvbuf(i0:i1,1,1:nf,itask)
-          elseif (j == jlateq+2) then     ! equator+2
-            feq_jpm3(i0:i1,2,:) = rcvbuf(i0:i1,2,1:nf,itask)
-          elseif (j == jlateq+3) then     ! equator+3
-            feq_jpm3(i0:i1,3,:) = rcvbuf(i0:i1,3,1:nf,itask)
-          endif
-        enddo ! j=mlat0,mlat1
-      enddo ! itask
+     |  call handle_mpi_err(ier,'mp_mageq_jpm3 call mpi_allreduce')
+
 !
 ! Periodic point:
       feq_jpm3(nmlonp1,:,:) = feq_jpm3(1,:,:)
@@ -3926,14 +4073,10 @@ subroutine mp_magpole_2d(f,ilon0,ilon1,ilat0,ilat1,
       real,intent(out) :: fpole_jpm2(nglblon,4,nf)
 !
 ! Local:
-      integer :: j,k,ier,len,itask,i0,i1,j0,j1
-      real,allocatable,save :: sndbuf(:,:,:,:),rcvbuf(:,:,:,:)
+      integer :: j,ier,len
+      real,allocatable,save :: sndbuf(:,:,:)
       real :: starttime,endtime
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer,parameter :: mxnf=7        ! 7 2d fields for CISM
-#else
-      integer,parameter :: mxnf=6        ! 6 2d fields
-#endif
+      integer,parameter :: mxnf=7        ! 7 2d fields for MAGE
 
       if (mpi_timing) starttime = mpi_wtime()
 
@@ -3945,60 +4088,34 @@ subroutine mp_magpole_2d(f,ilon0,ilon1,ilat0,ilat1,
 !
 ! Allocate the max number of fields, only once per run:
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(nglblon,4,mxnf,0:ntask-1),stat=ier)
+        allocate(sndbuf(nglblon,4,mxnf),stat=ier)
         if (ier /= 0)
      |    call shutdown('mp_magpole_2d: error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(nglblon,4,mxnf,0:ntask-1),stat=ier)
-        if (ier /= 0)
-     |    call shutdown('mp_magpole_2d: error allocating rcvbuf')
       endif
       sndbuf = 0.
-      rcvbuf = 0.
+      fpole_jpm2 = 0.
       len = nglblon*4*nf
 !
 ! Load send buffer with values at poles +/- 2 for current subdomain
-! (redundant to all tasks for alltoall)
 !
-      do itask=0,ntask-1
-        do j=ilat0,ilat1
-          if (j==jspole+1) then             ! south pole +1
-            sndbuf(ilon0:ilon1,1,1:nf,itask) = f(ilon0:ilon1,j,:)
-          elseif (j==jspole+2) then         ! south pole +2
-            sndbuf(ilon0:ilon1,2,1:nf,itask) = f(ilon0:ilon1,j,:)
-          elseif (j==jnpole-1) then         ! north pole -1
-            sndbuf(ilon0:ilon1,3,1:nf,itask) = f(ilon0:ilon1,j,:)
-          elseif (j==jnpole-2) then         ! north pole -2
-            sndbuf(ilon0:ilon1,4,1:nf,itask) = f(ilon0:ilon1,j,:)
-          endif
-        enddo
+      do j=ilat0,ilat1
+        if (j==jspole+1) then             ! south pole +1
+          sndbuf(ilon0:ilon1,1,1:nf) = f(ilon0:ilon1,j,:)
+        elseif (j==jspole+2) then         ! south pole +2
+          sndbuf(ilon0:ilon1,2,1:nf) = f(ilon0:ilon1,j,:)
+        elseif (j==jnpole-1) then         ! north pole -1
+          sndbuf(ilon0:ilon1,3,1:nf) = f(ilon0:ilon1,j,:)
+        elseif (j==jnpole-2) then         ! north pole -2
+          sndbuf(ilon0:ilon1,4,1:nf) = f(ilon0:ilon1,j,:)
+        endif
       enddo
 !
 ! Do the exchange:
-      call mpi_alltoall(sndbuf(:,:,1:nf,:),len,MPI_REAL8,
-     |  rcvbuf(:,:,1:nf,:),len,MPI_REAL8,MPI_COMM_WORLD,ier)
+      call mpi_allreduce(sndbuf(:,:,1:nf),fpole_jpm2(:,:,1:nf),len,
+     |  MPI_REAL8,MPI_SUM,TIEGCM_WORLD,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_magpole_2d call mpi_alltoall')
-!
-! Unpack rcvbuf into output fpole_jpm2(nglblon,4,nf)
-      do itask=0,ntask-1
-        i0 = tasks(itask)%mlon0
-        i1 = tasks(itask)%mlon1
-        j0 = tasks(itask)%mlat0
-        j1 = tasks(itask)%mlat1
-        do j=j0,j1
-          if (j==jspole+1) then             ! south pole +1
-            fpole_jpm2(i0:i1,1,:) = rcvbuf(i0:i1,1,1:nf,itask)
-          elseif (j==jspole+2) then         ! south pole +2
-            fpole_jpm2(i0:i1,2,:) = rcvbuf(i0:i1,2,1:nf,itask)  
-          elseif (j==jnpole-1) then         ! north pole -1
-            fpole_jpm2(i0:i1,3,:) = rcvbuf(i0:i1,3,1:nf,itask)  
-          elseif (j==jnpole-2) then         ! north pole -2
-            fpole_jpm2(i0:i1,4,:) = rcvbuf(i0:i1,4,1:nf,itask)  
-          endif
-        enddo
-      enddo
+     |  call handle_mpi_err(ier,'mp_magpole_2d call mpi_allreduce')
+
       if (mpi_timing) then
         endtime = mpi_wtime()
         time_magpole_2d=time_magpole_2d+(endtime-starttime)
@@ -4027,14 +4144,10 @@ subroutine mp_magpole_3d(f,ilon0,ilon1,ilat0,ilat1,nlev,
       real,intent(out) :: fpole_jpm2(nglblon,4,nlev,nf)
 !
 ! Local:
-      integer :: j,k,ier,len,itask,i0,i1,j0,j1
-      real,allocatable,save :: sndbuf(:,:,:,:,:),rcvbuf(:,:,:,:,:)
+      integer :: j,k,ier,len
+      real,allocatable,save :: sndbuf(:,:,:,:)
       real :: starttime,endtime
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer,parameter :: mxnf=7        ! 7 2d fields for CISM
-#else
-      integer,parameter :: mxnf=6        ! 6 2d fields
-#endif
+      integer,parameter :: mxnf=7        ! 7 2d fields for MAGE
 
       if (mpi_timing) starttime = mpi_wtime()
 
@@ -4046,62 +4159,36 @@ subroutine mp_magpole_3d(f,ilon0,ilon1,ilat0,ilat1,nlev,
 !
 ! Allocate the max number of fields, only once per run:
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(nglblon,4,nlev,mxnf,0:ntask-1),stat=ier)
+        allocate(sndbuf(nglblon,4,nlev,mxnf),stat=ier)
         if (ier /= 0)
      |    call shutdown('mp_magpole_3d: error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(nglblon,4,nlev,mxnf,0:ntask-1),stat=ier)
-        if (ier /= 0)
-     |    call shutdown('mp_magpole_3d: error allocating rcvbuf')
       endif
       sndbuf = 0.
-      rcvbuf = 0.
+      fpole_jpm2 = 0.
       len = nglblon*4*nlev*nf
 !
 ! Load send buffer with values at poles +/- 2 for current subdomain
-! (redundant to all tasks for alltoall)
 !
-      do itask=0,ntask-1
-        do j=ilat0,ilat1
-          do k=1,nlev
+      do j=ilat0,ilat1
+        do k=1,nlev
           if (j==jspole+1) then             ! south pole +1
-            sndbuf(ilon0:ilon1,1,k,1:nf,itask) = f(ilon0:ilon1,j,k,:)
+            sndbuf(ilon0:ilon1,1,k,1:nf) = f(ilon0:ilon1,j,k,:)
           elseif (j==jspole+2) then         ! south pole +2
-            sndbuf(ilon0:ilon1,2,k,1:nf,itask) = f(ilon0:ilon1,j,k,:)
+            sndbuf(ilon0:ilon1,2,k,1:nf) = f(ilon0:ilon1,j,k,:)
           elseif (j==jnpole-1) then         ! north pole -1
-            sndbuf(ilon0:ilon1,3,k,1:nf,itask) = f(ilon0:ilon1,j,k,:)
+            sndbuf(ilon0:ilon1,3,k,1:nf) = f(ilon0:ilon1,j,k,:)
           elseif (j==jnpole-2) then         ! north pole -2
-            sndbuf(ilon0:ilon1,4,k,1:nf,itask) = f(ilon0:ilon1,j,k,:)
+            sndbuf(ilon0:ilon1,4,k,1:nf) = f(ilon0:ilon1,j,k,:)
           endif
-          enddo
         enddo
       enddo
 !
 ! Do the exchange:
-      call mpi_alltoall(sndbuf(:,:,:,1:nf,:),len,MPI_REAL8,
-     |  rcvbuf(:,:,:,1:nf,:),len,MPI_REAL8,MPI_COMM_WORLD,ier)
+      call mpi_allreduce(sndbuf(:,:,:,1:nf),fpole_jpm2(:,:,:,1:nf),len,
+     |  MPI_REAL8,MPI_SUM,TIEGCM_WORLD,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_magpole_3d call mpi_alltoall')
-!
-! Unpack rcvbuf into output fpole_jpm2(nglblon,4,nf)
-      do itask=0,ntask-1
-        i0 = tasks(itask)%mlon0
-        i1 = tasks(itask)%mlon1
-        j0 = tasks(itask)%mlat0
-        j1 = tasks(itask)%mlat1
-        do j=j0,j1
-          if (j==jspole+1) then             ! south pole +1
-            fpole_jpm2(i0:i1,1,:,:) = rcvbuf(i0:i1,1,:,1:nf,itask)
-          elseif (j==jspole+2) then         ! south pole +2
-            fpole_jpm2(i0:i1,2,:,:) = rcvbuf(i0:i1,2,:,1:nf,itask)  
-          elseif (j==jnpole-1) then         ! north pole -1
-            fpole_jpm2(i0:i1,3,:,:) = rcvbuf(i0:i1,3,:,1:nf,itask)  
-          elseif (j==jnpole-2) then         ! north pole -2
-            fpole_jpm2(i0:i1,4,:,:) = rcvbuf(i0:i1,4,:,1:nf,itask)  
-          endif
-        enddo
-      enddo
+     |  call handle_mpi_err(ier,'mp_magpole_3d call mpi_allreduce')
+
       if (mpi_timing) then
         endtime = mpi_wtime()
         time_magpole_3d=time_magpole_3d+(endtime-starttime)
@@ -4127,8 +4214,8 @@ subroutine mp_magpoles(f,ilon0,ilon1,ilat0,ilat1,
       real,intent(out) :: fpoles(nglblon,2,nf)
 !
 ! Local:
-      integer :: j,k,ier,len,itask,i0,i1,j0,j1
-      real,allocatable,save :: sndbuf(:,:,:,:),rcvbuf(:,:,:,:)
+      integer :: j,ier,len
+      real,allocatable,save :: sndbuf(:,:,:)
       real :: starttime,endtime
       integer,parameter :: mxnf=nmlevp1
 
@@ -4142,52 +4229,30 @@ subroutine mp_magpoles(f,ilon0,ilon1,ilat0,ilat1,
 !
 ! Allocate the max number of fields, only once per run:
       if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(nglblon,2,mxnf,0:ntask-1),stat=ier)
+        allocate(sndbuf(nglblon,2,mxnf),stat=ier)
         if (ier /= 0)
      |    call shutdown('mp_magpoles: error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(nglblon,2,mxnf,0:ntask-1),stat=ier)
-        if (ier /= 0)
-     |    call shutdown('mp_magpoles: error allocating rcvbuf')
       endif
       sndbuf = 0.
-      rcvbuf = 0.
+      fpoles = 0.
       len = nglblon*2*nf
 !
 ! Load send buffer with values at poles +/- 2 for current subdomain
-! (redundant to all tasks for alltoall)
 !
-      do itask=0,ntask-1
-        do j=ilat0,ilat1
-          if (j==jspole) then             ! south pole
-            sndbuf(ilon0:ilon1,1,1:nf,itask) = f(ilon0:ilon1,j,:)
-          elseif (j==jnpole) then         ! npole pole
-            sndbuf(ilon0:ilon1,2,1:nf,itask) = f(ilon0:ilon1,j,:)
-          endif
-        enddo
+      do j=ilat0,ilat1
+        if (j==jspole) then             ! south pole
+          sndbuf(ilon0:ilon1,1,1:nf) = f(ilon0:ilon1,j,:)
+        elseif (j==jnpole) then         ! npole pole
+          sndbuf(ilon0:ilon1,2,1:nf) = f(ilon0:ilon1,j,:)
+        endif
       enddo
 !
 ! Do the exchange:
-      call mpi_alltoall(sndbuf(:,:,1:nf,:),len,MPI_REAL8,
-     |  rcvbuf(:,:,1:nf,:),len,MPI_REAL8,MPI_COMM_WORLD,ier)
+      call mpi_allreduce(sndbuf(:,:,1:nf),fpoles(:,:,1:nf),len,
+     |  MPI_REAL8,MPI_SUM,TIEGCM_WORLD,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_magpoles call mpi_alltoall')
-!
-! Unpack rcvbuf into output fpoles(nglblon,2,nf)
-      do itask=0,ntask-1
-        i0 = tasks(itask)%mlon0
-        i1 = tasks(itask)%mlon1
-        j0 = tasks(itask)%mlat0
-        j1 = tasks(itask)%mlat1
-        do j=j0,j1
-          if (j==jspole) then             ! south pole
-            fpoles(i0:i1,1,:) = rcvbuf(i0:i1,1,1:nf,itask)
-          elseif (j==jnpole) then         ! north pole
-            fpoles(i0:i1,2,:) = rcvbuf(i0:i1,2,1:nf,itask)  
-          endif
-        enddo
-      enddo
+     |  call handle_mpi_err(ier,'mp_magpoles call mpi_allreduce')
+
       if (mpi_timing) then
         endtime = mpi_wtime()
         time_magpoles=time_magpoles+(endtime-starttime)
@@ -4197,7 +4262,7 @@ end subroutine mp_magpoles
       subroutine conjugate_points
 !
 ! Local:
-      integer :: ier,i,j,js,jn,itask,ii,jj
+      integer :: ier,j,js,jn,itask,jj
       real :: starttime,endtime
 
       if (mpi_timing) starttime = mpi_wtime()
@@ -4299,7 +4364,7 @@ subroutine mp_mag_foldhem(f,mlon0,mlon1,mlat0,mlat1,nf)
       real,intent(inout) :: f(mlon0:mlon1,mlat0:mlat1,nf)
 !
 ! Local:
-      integer :: i,j,n,len,itask,ifld,ier,nmlons
+      integer :: j,n,len,itask,ifld,ier,nmlons
       real :: sndbuf(mxmaglon,mxmaglat,nf,0:ntask-1)
       real :: rcvbuf(mxmaglon,mxmaglat,nf,0:ntask-1)
       integer :: jsend(0:ntask-1),jrecv(0:ntask-1)
@@ -4326,7 +4391,7 @@ subroutine mp_mag_foldhem(f,mlon0,mlon1,mlat0,mlat1,nf)
             enddo
           enddo ! ifld=1,nf
           call mpi_isend(sndbuf(1,1,1,itask),len,MPI_REAL8,
-     |      itask,1,MPI_COMM_WORLD,jsend(itask),ier)
+     |      itask,1,TIEGCM_WORLD,jsend(itask),ier)
           call mpi_wait(jsend(itask),irstat,ier)
         endif ! nsend_south(itask) > 0
       enddo ! itask=0,ntask-1
@@ -4338,7 +4403,7 @@ subroutine mp_mag_foldhem(f,mlon0,mlon1,mlat0,mlat1,nf)
       do itask=0,ntask-1
         if (nrecv_north(itask) > 0 .and. itask /= mytid) then
           call mpi_irecv(rcvbuf(1,1,1,itask),len,MPI_REAL8,
-     |      itask,1,MPI_COMM_WORLD,jrecv(itask),ier)
+     |      itask,1,TIEGCM_WORLD,jrecv(itask),ier)
           call mpi_wait(jrecv(itask),irstat,ier)
           do ifld=1,nf
             do n=1,nrecv_north(itask)
@@ -4388,7 +4453,7 @@ subroutine mp_mag_periodic_f2d(f,mlon0,mlon1,mlat0,mlat1,nf)
       real,intent(inout) :: f(mlon0:mlon1,mlat0:mlat1,nf)
 !
 ! Local:
-      integer :: j,ier,idest,isrc,len,ireqsend,ireqrecv,ifld,msgtag
+      integer :: j,ier,idest,isrc,len,ireqsend,ireqrecv,msgtag
       real :: sndbuf(mxmaglat,nf),rcvbuf(mxmaglat,nf)
       real :: starttime,endtime
 
@@ -4402,7 +4467,7 @@ subroutine mp_mag_periodic_f2d(f,mlon0,mlon1,mlat0,mlat1,nf)
           sndbuf(j-mlat0+1,:) = f(1,j,:)
         enddo
         msgtag = mytid
-        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,MPI_COMM_WORLD,
+        call mpi_isend(sndbuf,len,MPI_REAL8,idest,msgtag,TIEGCM_WORLD,
      |    ireqsend,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_mag_periodic_f2d send to idest')
@@ -4415,7 +4480,7 @@ subroutine mp_mag_periodic_f2d(f,mlon0,mlon1,mlat0,mlat1,nf)
       elseif (mytidi==ntaski-1) then
         isrc = itask_table_mag(0,mytidj)
         msgtag = isrc
-        call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,msgtag,MPI_COMM_WORLD,
+        call mpi_irecv(rcvbuf,len,MPI_REAL8,isrc,msgtag,TIEGCM_WORLD,
      |    ireqrecv,ier)
         if (ier /= 0)
      |    call handle_mpi_err(ier,'mp_periodic_f2d recv fm isrc')
@@ -4445,7 +4510,7 @@ subroutine mp_gather_pdyn(fmsub,mlon0,mlon1,mlat0,mlat1,
       real,intent(out) :: fmglb(nmlonp1,nmlat,nf)
 !
 ! Local:
-      integer :: len,i,j,ifld,ier,itask,i0,i1,j0,j1,nlons,nlats
+      integer :: len,j,ifld,ier,itask,i0,i1,j0,j1,nlons,nlats
       real,dimension(mxmaglon,mxmaglat,nf) :: sndbuf
       real,dimension(mxmaglon,mxmaglat,nf,0:ntask-1) :: rcvbuf
       real :: starttime,endtime
@@ -4466,7 +4531,7 @@ subroutine mp_gather_pdyn(fmsub,mlon0,mlon1,mlat0,mlat1,
 !
 ! Gather to root:
       call mpi_gather(sndbuf,len,MPI_REAL8,rcvbuf,len,MPI_REAL8,0,
-     |  MPI_COMM_WORLD,ier)
+     |  TIEGCM_WORLD,ier)
       if (ier /= 0)
      |  call handle_mpi_err(ier,'mp_gather_pdyn: mpi_gather to root')
 !
@@ -4518,7 +4583,7 @@ subroutine mp_allgather_2d(fsub,fglb,nlon_glb,nlat_glb,
 
       len = nlon_glb*nlat_glb
       call mpi_allgather(sndbuf,len,MPI_REAL8,
-     |                   rcvbuf,len,MPI_REAL8,MPI_COMM_WORLD,ier) 
+     |                   rcvbuf,len,MPI_REAL8,TIEGCM_WORLD,ier) 
       if (ier /= 0) then
         call handle_mpi_err(ier,
      |    '>>> mp_allgather_2d: error return from mpi_allgather')
@@ -4565,7 +4630,7 @@ subroutine mp_mag_halos(fmsub,mlon0,mlon1,mlat0,mlat1,nf0,nf1)
      |                            nf0:nf1)
 !
 ! Local:
-      integer :: i,j,ifld,west,east,north,south,len,isend0,isend1,
+      integer :: ifld,west,east,north,south,len,isend0,isend1,
      |  irecv0,irecv1,ier,nmlats,istat(MPI_STATUS_SIZE,4),ireq(4),
      |  nmlons,nf
       real,dimension(mlat1-mlat0+1,nf0:nf1) ::
@@ -4617,25 +4682,25 @@ subroutine mp_mag_halos(fmsub,mlon0,mlon1,mlat0,mlat1,nf0,nf1)
       enddo ! ifld=nf0,nf1
 !
 ! Send mlon0 to the west:
-      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos send mlon0 to west')
 !
 ! Send mlon1 to the east:
-      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |    isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos send mlon1 to east')
 !
 ! Recv mlon0-1 from west:
-      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon0,len,MPI_REAL8,west,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos recv mlon0 from west')
 !
 ! Recv mlon1+1 from east:
-      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlon1,len,MPI_REAL8,east,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos recv mlon1 from east')
@@ -4694,25 +4759,25 @@ subroutine mp_mag_halos(fmsub,mlon0,mlon1,mlat0,mlat1,nf0,nf1)
       enddo
 !
 ! Send mlat0 to south:
-      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  isend0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos send mlat0 to south')
 !
 ! Send mlat1 to north:
-      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_isend(sndlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  isend1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos send mlat1 to north')
 !
 ! Recv mlat0-1 from south:
-      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat0,len,MPI_REAL8,south,1,TIEGCM_WORLD,
      |  irecv0,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos recv mlat0-1 from south')
 !
 ! Recv mlat1+1 from north:
-      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,MPI_COMM_WORLD,
+      call mpi_irecv(rcvlat1,len,MPI_REAL8,north,1,TIEGCM_WORLD,
      |  irecv1,ier)
       if (ier /= 0) 
      |  call handle_mpi_err(ier,'mp_mag_halos recv mlat1+1 from north')
@@ -4756,19 +4821,19 @@ subroutine mp_scatter_coeffs(rhs,cofum,coef_rhs,coef_cofum)
 ! Note: root task should not reference coef_rhs or coef_cofum
 !
 ! Args:
-      real,intent(in) :: rhs(nmlonp1,nmlat),cofum(nmlonp1,nmlat,9)
+      real,intent(inout) :: rhs(nmlonp1,nmlat),cofum(nmlonp1,nmlat,9)
       real,intent(out) :: coef_rhs(mlon0:mlon1,mlat0:mlat1)
       real,intent(out) :: coef_cofum(mlon0:mlon1,mlat0:mlat1,9)
 !
 ! Local:
-      integer :: ier,len,i,j,n
+      integer :: ier,len,i,j
       real :: starttime,endtime
 
       if (mpi_timing) starttime = mpi_wtime()
 !
 ! Broadcast rhs (from pdynamo c0(:,:,10))
       len = nmlat*nmlonp1
-      call mpi_bcast(rhs,len,MPI_REAL8,0,MPI_COMM_WORLD,ier)
+      call mpi_bcast(rhs,len,MPI_REAL8,0,TIEGCM_WORLD,ier)
       if (ier /= 0) call handle_mpi_err(ier,
      |    'mp_scatter_coeffs: bcast global rhs')
 !     write(6,"('mp_scatter_coeffs after bcast: rhs min,max=',2e12.4)")
@@ -4776,7 +4841,7 @@ subroutine mp_scatter_coeffs(rhs,cofum,coef_rhs,coef_cofum)
 !
 ! Broadcast cofum (from pdynamo cofum(:,:,1-9)):
       len = nmlat*nmlonp1*9
-      call mpi_bcast(cofum,len,MPI_REAL8,0,MPI_COMM_WORLD,ier)
+      call mpi_bcast(cofum,len,MPI_REAL8,0,TIEGCM_WORLD,ier)
       if (ier /= 0) call handle_mpi_err(ier,
      |    'mp_scatter_coeffs: bcast global cofum')
 !     write(6,"('mp_scatter_coeffs after bcast: cofum min,max=',
@@ -4800,7 +4865,7 @@ subroutine mp_scatter_coeffs(rhs,cofum,coef_rhs,coef_cofum)
       end subroutine mp_scatter_coeffs
 !-----------------------------------------------------------------------
       subroutine mp_scatter_phim(phim_glb,phim)
-      real,intent(in) :: phim_glb(nmlonp1,nmlat)
+      real,intent(inout) :: phim_glb(nmlonp1,nmlat)
       real,intent(out) :: phim(mlon0:mlon1,mlat0:mlat1)
 !
 ! Local:
@@ -4811,7 +4876,7 @@ subroutine mp_scatter_phim(phim_glb,phim)
 !
 ! Broadcast global phim (from pdynamo phim(nmlonp1,nmlat)):
       len = nmlat*nmlonp1
-      call mpi_bcast(phim_glb,len,MPI_REAL8,0,MPI_COMM_WORLD,ier)
+      call mpi_bcast(phim_glb,len,MPI_REAL8,0,TIEGCM_WORLD,ier)
       if (ier /= 0) call handle_mpi_err(ier,
      |    'mp_scatter_phim: bcast global phim')
 !     write(6,"('mp_scatter_phim after bcast: phim min,max=',2e12.4)")
@@ -4844,7 +4909,7 @@ subroutine mp_bcast_real(buff,len,root)
 !int MPI_Bcast( void *buffer, int count, MPI_Datatype datatype, int root, 
 !               MPI_Comm comm )
 
-      call mpi_bcast(buff,len,MPI_REAL8,root,MPI_COMM_WORLD,ier)
+      call mpi_bcast(buff,len,MPI_REAL8,root,TIEGCM_WORLD,ier)
       if (ier /= 0) then
         call handle_mpi_err(ier,
      |    '>>> mp_bcast_real: error return from mpi_bcast')
@@ -4872,147 +4937,141 @@ subroutine mp_mag_jslot(fin,mlon00,mlon11,mlat00,mlat11,
       real,intent(out) :: fout(mlon00:mlon11,mxneed,nf) ! returned data at needed lats
 !
 ! Local:
-      integer :: ier,njneed,i,j,n,nj,idest,ireq(2),
-     |  isend(ntask),irecv(ntask),icount,
-     |  len,istat,nlons,isrc,msgid,ifld
+      integer,parameter :: sndbuf_cntr_max = 50 ! Maximum number of ibsend from one mpi task
+      integer :: ier,njneed,i,j,n,nj,idest,
+     |     icount,len,nlons,isrc,msgid,ifld,sndbuf_cntr,buffer_size
       integer :: tij ! rank in cols_comm (0 to nmagtaskj-1)
       integer :: jhave(mxneed),njhave,wid
       integer :: peersneed(mxneed,0:nmagtaskj-1)
       integer :: jneedall (mxneed,0:nmagtaskj-1)
-      real,allocatable :: sndbuf(:,:,:)
-      real,allocatable :: rcvbuf(:,:,:)
+      real :: sndbuf(mxmaglon+2,mxneed,nf,sndbuf_cntr_max)
+      real :: rcvbuf(mxmaglon+2,mxneed,nf)
+      real :: buffer((mxmaglon+2)*mxneed*nf*sndbuf_cntr_max)
+      integer :: irstat(MPI_STATUS_SIZE)          ! mpi receive status
+      integer :: isstat(MPI_STATUS_SIZE,sndbuf_cntr_max) !mpi_ibsend wait status
+      integer :: ibsend_requests(sndbuf_cntr_max) !array of ibsend requests
       real :: starttime,endtime
       integer,external :: ixfind
 
       if (mpi_timing) starttime = mpi_wtime()
 !
-      if (.not.allocated(sndbuf)) then
-        allocate(sndbuf(mxmaglon+2,mxneed,nf),stat=ier) ! +2 for single halos
-        if (ier /= 0)
-     |    call shutdown('mp_mag_jslot: error allocating sndbuf')
-      endif
-      if (.not.allocated(rcvbuf)) then
-        allocate(rcvbuf(mxmaglon+2,mxneed,nf),stat=ier)
-        if (ier /= 0)
-     |    call shutdown('mp_mag_jslot: error allocating rcvbuf')
-      endif
+
       sndbuf = 0.
       rcvbuf = 0.
       njneed = 0
+      ibsend_requests = 0
+      sndbuf_cntr = 0
       do j=1,mxneed
-        if (jneed(j) /= -1) njneed=njneed+1
+         if (jneed(j) /= -1) njneed=njneed+1
       enddo
       if (any(jneed(1:njneed)==-1)) call shutdown('mp_mag_jslot jneed')
-!
+      !
       call MPI_Comm_rank(cols_comm,tij,ier)
-!     if (njneed >  0) then
-!       write(6,"('mp_mag_jslot: tij=',i3,' nmagtaskj=',i3,' njneed=',
-!    |    i3,' jneed=',/,(20i3))") tij,nmagtaskj,njneed,jneed(1:njneed)
-!     endif ! njneed > 0
-!
-! Send needed lat indices to all tasks in my column:
-! (redundant for alltoall)
+      buffer_size = (mxmaglon+2)*mxneed*nf*sndbuf_cntr_max
+      call MPI_buffer_attach(buffer,buffer_size,ier)
+      if (ier /= 0)
+     |     call handle_mpi_err(ier,
+     |     'mp_mag_jslot call mpi_buffer_attach')
+
+      !
+      ! Send needed lat indices to all tasks in my column:
+      ! (redundant for alltoall)
       do n=0,nmagtaskj-1
-        jneedall(:,n) = jneed(:)
+         jneedall(:,n) = jneed(:)
       enddo
 
       call mpi_alltoall(jneedall,mxneed,MPI_INTEGER,
-     |  peersneed,mxneed,MPI_INTEGER,cols_comm,ier)
+     |     peersneed,mxneed,MPI_INTEGER,cols_comm,ier)
       if (ier /= 0)
-     |  call handle_mpi_err(ier,'mp_mag_jslot call mpi_alltoall')
-!
-! Check if I have any needed lats, and who to send to:
+     |     call handle_mpi_err(ier,'mp_mag_jslot call mpi_alltoall')
+      !
+      ! Check if I have any needed lats, and who to send to:
       do n=0,nmagtaskj-1
-        if (n==tij) cycle
-        njhave = 0
-        do j=1,mxneed
-          if (peersneed(j,n) >= mlat00.and.peersneed(j,n) <= mlat11)then
-            njhave = njhave+1 
-            jhave(njhave) = peersneed(j,n)
-            idest = n
-            wid = itask_table(mytidi,idest)
-          endif
-        enddo
-        if (njhave > 0) then
-!         write(6,"('mp_mag_jslot: tij=',i3,' send to n=',i3,' njhave=',
-!    |      i3,' jhave=',/,(20i4))") tij,n,njhave,jhave(1:njhave)
-!
-! Load send buffer:
-          nlons = mlon11-mlon00+1
-          do ifld=1,nf
-            do j=1,njhave
-              do i=mlon00,mlon11
-                sndbuf(i-mlon00+1,j,ifld) = fin(i,jhave(j),ifld)
-              enddo
-!             write(6,"('mp_mag_jslot: tij=',i3,' Send jhave ',i4,
-!    |          ' to task ',i3,' (world_comm task',i3,') ifld=',i3,
-!    |          ' data=',/,(6e12.4))") tij,jhave(j),idest,wid,ifld,
-!    |          sndbuf(1:nlons,j,ifld)
-            enddo
-          enddo
-          len = nlons*njhave*nf
-          msgid = mytid+wid
+         if (n==tij) cycle
+         njhave = 0
+         do j=1,mxneed
+            if (peersneed(j,n) >= mlat00.and.
+     |          peersneed(j,n) <= mlat11)then
+               njhave = njhave+1
+               jhave(njhave) = peersneed(j,n)
+               idest = n
+               wid = itask_table(mytidi,idest)
+            endif
+         enddo
+         if (njhave > 0) then
 
-          call mpi_send(sndbuf(1:nlons,1:njhave,:),len,MPI_REAL8,
-     |      idest,1,cols_comm,ier)
+            sndbuf_cntr = sndbuf_cntr + 1
+            if (sndbuf_cntr > sndbuf_cntr_max) 
+     |         call shutdown('sndbuf_cntr exceeded sndbuf_cntr_max')
 
-!         call mpi_isend(sndbuf(1:nlons,1:njhave,:),len,MPI_REAL8,
-!    |      idest,1,cols_comm,msgid,ier)
-!         call mpi_wait(mytid+idest,irstat,ier)
-        endif
-      enddo ! n=0,nmagtaskj-1
-!
-! Determine which tasks to receive which lats from. Task to
-! receive from must be in same task column magtidi as I am.
-      if (njneed > 0) then
-        njhave = 0
-        jhave(:) = -1
-        do n=0,ntask-1
-          njhave = 0
-          do j=1,njneed
-            if (jneed(j) >= tasks(n)%mlat0-1 .and. 
-     |          jneed(j) <= tasks(n)%mlat1+1) then
-              njhave = njhave+1
-              jhave(njhave) = jneed(j)
-            endif
-          enddo
-          if (njhave > 0 .and. tasks(n)%magtidi==magtidi) then
-            isrc = tasks(n)%magtidj ! task id in cols_comm to recv from
+            !
+            ! Load send buffer:
             nlons = mlon11-mlon00+1
+            do ifld=1,nf
+               do j=1,njhave
+                  do i=mlon00,mlon11
+                     sndbuf(i-mlon00+1,j,ifld,sndbuf_cntr) = 
+     |                 fin(i,jhave(j),ifld)
+                  enddo
+               enddo
+            enddo
             len = nlons*njhave*nf
-            msgid = mytid+n
+            msgid = mytid+wid*10000
+            call mpi_ibsend(sndbuf(1:nlons,1:njhave,:,sndbuf_cntr),
+     |           len,MPI_REAL8,
+     |          idest,msgid,cols_comm,ibsend_requests(sndbuf_cntr),ier)
+            if (ier /= 0)
+     |          call handle_mpi_err(ier,'mp_mag_jslot call mpi_ibsend')
+         endif
+      enddo ! n=0,nmagtaskj-1
 
-            call mpi_recv(rcvbuf(1:nlons,1:njhave,:),len,MPI_REAL8,
-     |        isrc,1,cols_comm,irstat,ier)
+      call MPI_waitall(sndbuf_cntr,ibsend_requests,isstat,ier)
+      if (ier /= 0)
+     |   call handle_mpi_err(ier,'mp_mag_jslot call mpi_waitall')
+      call MPI_buffer_detach(buffer,buffer_size,ier)
+      if (ier /= 0)
+     |  call handle_mpi_err(ier,'mp_mag_jslot call mpi_buffer_detach')
 
-!           call mpi_irecv(rcvbuf(1:nlons,1:njhave,:),len,MPI_REAL8,
-!    |        isrc,1,cols_comm,msgid,ier)
-!           call mpi_wait(mytid+isrc,irstat,ier)
-!
-! Get data from receive buffer:
-! real,intent(out) :: fout(mlon00:mlon11,mxneed) ! returned data at needed lats
-            do ifld=1,nf
-              do j=1,njhave
-                nj = ixfind(jneed,mxneed,jhave(j),icount)
-                if (nj==0) call shutdown('jhave(j) not in jneed') 
-                do i=mlon00,mlon11
-                  fout(i,nj,ifld) = rcvbuf(i-mlon00+1,j,ifld)
-                enddo
-!               write(6,"('mp_mag_jslot: tij=',i3,' Receive j=',i4,
-!    |            ' jhave(j)=',i4,' from task ',i3,' (comm_world task ',
-!    |            i3,') nj=',i4,' ifld=',i3,' data=',/,(6e12.4))") 
-!    |            tij,j,jhave(j),isrc,n,nj,ifld,fout(:,nj,ifld)
-              enddo ! j=1,njhave
-            enddo ! ifld=1,nf
-          endif ! jhave > 0
-        enddo ! n=0,ntask-1
+      !
+      ! Determine which tasks to receive which lats from. Task to
+      ! receive from must be in same task column magtidi as I am.
+      if (njneed > 0) then
+         njhave = 0
+         jhave(:) = -1
+         do n=0,ntask-1
+            njhave = 0
+            do j=1,njneed
+               if (jneed(j) >= tasks(n)%mlat0-1 .and.
+     |              jneed(j) <= tasks(n)%mlat1+1) then
+                  njhave = njhave+1
+                  jhave(njhave) = jneed(j)
+               endif
+            enddo
+            if (njhave > 0 .and. tasks(n)%magtidi==magtidi) then
+               isrc = tasks(n)%magtidj ! task id in cols_comm to recv from
+               nlons = mlon11-mlon00+1
+               len = nlons*njhave*nf
+               msgid = mytid*10000+n
+               rcvbuf = 0.
+               call mpi_recv(rcvbuf(1:nlons,1:njhave,:),len,MPI_REAL8, 
+     |              isrc,msgid,cols_comm,irstat,ier)
+               if (ier /= 0)
+     |            call handle_mpi_err(ier,'mp_mag_jslot call mpi_recv')
+               !
+               ! Get data from receive buffer:
+               ! real,intent(out) :: fout(mlon00:mlon11,mxneed) ! returned data at needed lats
+               do ifld=1,nf
+                  do j=1,njhave
+                     nj = ixfind(jneed,mxneed,jhave(j),icount)
+                     if (nj==0) call shutdown('jhave(j) not in jneed')
+                     do i=mlon00,mlon11
+                        fout(i,nj,ifld) = rcvbuf(i-mlon00+1,j,ifld)
+                     enddo
+                  enddo ! j=1,njhave
+               enddo ! ifld=1,nf
+            endif ! jhave > 0
+         enddo ! n=0,ntask-1
       endif ! njneed > 0
-!
-! Wait for completions:
-!     ireq = (/isend,irecv/)
-!     istat = 0
-!     call mpi_waitall(2,ireq,istat,ier)
-!     if (ier /= 0) call handle_mpi_err(ier,'mp_mag_jslot waitall')
 
       if (mpi_timing) then
         endtime = mpi_wtime()
@@ -5049,6 +5108,7 @@ subroutine report_mpi_timing
      |  time_gather2root_f3d+
      |  time_gather2root_lbc+
      |  time_bndlats+
+     |  time_bndlats_f3d+
      |  time_bndlats_f2d+
      |  time_bndlons+
      |  time_bndlons_f3d+
@@ -5060,8 +5120,6 @@ subroutine report_mpi_timing
      |  time_periodic_f4d+
      |  time_periodic_f3d+
      |  time_periodic_f2d+
-     |  time_bndlats_kmh+
-     |  time_bndlons_kmh+
      |  time_mageq+
      |  time_mageq_jpm1+
      |  time_mageq_jpm3+
@@ -5111,6 +5169,11 @@ subroutine report_mpi_timing
      | time_bndlats/time_totalmpi*100.,
      | time_bndlats/time_totalrun*100.
 
+      write(6,"('mp_bndlats_f3d     ',e12.4,2f12.2)")
+     | time_bndlats_f3d/60.,
+     | time_bndlats_f3d/time_totalmpi*100.,
+     | time_bndlats_f3d/time_totalrun*100.
+
       write(6,"('mp_bndlats_f2d     ',e12.4,2f12.2)")
      | time_bndlats_f2d/60.,
      | time_bndlats_f2d/time_totalmpi*100.,
@@ -5161,16 +5224,6 @@ subroutine report_mpi_timing
      | time_periodic_f2d/time_totalmpi*100.,
      | time_periodic_f2d/time_totalrun*100.
 
-      write(6,"('mp_bndlats_kmh     ',e12.4,2f12.2)")
-     | time_bndlats_kmh/60.,
-     | time_bndlats_kmh/time_totalmpi*100.,
-     | time_bndlats_kmh/time_totalrun*100.
-
-      write(6,"('mp_bndlons_kmh     ',e12.4,2f12.2)")
-     | time_bndlons_kmh/60.,
-     | time_bndlons_kmh/time_totalmpi*100.,
-     | time_bndlons_kmh/time_totalrun*100.
-
       write(6,"('mp_mageq           ',e12.4,2f12.2)")
      | time_mageq/60.,
      | time_mageq/time_totalmpi*100.,
@@ -5258,5 +5311,4 @@ subroutine report_mpi_timing
       write(6,"(/,72('-'))")
       end subroutine report_mpi_timing
 !-----------------------------------------------------------------------
-#endif
       end module mpi_module
diff --git a/src/mud.F b/src/mud.F
index 2c10987..46f2e36 100644
--- a/src/mud.F
+++ b/src/mud.F
@@ -25,9 +25,9 @@
       subroutine mud(pe,jntl,isolve,ier)
 !
 ! !USES:
-      use pdynamo_module,only: nc,ncee,cee
-      use timing_module,only: timer,timing
-      use init_module,only: istep
+      use params_module,only: nres_grid
+      use pdynamo_module,only: cee
+      use timing_module,only: timer
 !
 ! !DESCRIPTION: multigrid solver with modified stencil
 !     input 
@@ -52,7 +52,7 @@ subroutine mud(pe,jntl,isolve,ier)
 c     set grid size params
 c
       integer iixp,jjyq,iiex,jjey,nnx,nny,llwork
-      parameter (iixp = 5 , jjyq = 3, iiex = 5, jjey = 5 )
+      parameter (iixp = 5, jjyq = 3, iiex = nres_grid, jjey = nres_grid)
       parameter (nnx=iixp*2**(iiex-1)+1, nny=jjyq*2**(jjey-1)+1)
 c
 c     estimate work space for point relaxation (see mud2cr.d)
@@ -63,7 +63,7 @@ subroutine mud(pe,jntl,isolve,ier)
 c     put integer and floating point argument names in contiguous
 c     storage for labelling in vectors iprm,fprm
 c
-      integer iprm(16),mgopt(4)
+      integer iprm(17),mgopt(4)
       real fprm(6)
       integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nx,ny,
      +              iguess,maxcy,method,nwork,lwrkqd,itero
@@ -417,8 +417,7 @@ subroutine mud2cr(iparm,fparm,work,rhs,phi,mgopt,
 	  itx = ktxbgn(k)
 	  ity = ktybgn(k)
 	  klevel = k
-	  call dismd2cr(nx,ny,work(ic),work(itx),work(ity),
-     +                  work,ierror,isolve)
+	  call dismd2cr(nx,ny,work(ic),work(itx),work(ity),work,isolve)
 	  end do
 	return
       end if   ! end of intl=0 initialization call block
@@ -726,8 +725,9 @@ subroutine kcymd2cr(wk)
       return
       end
 
-      subroutine dismd2cr(nx,ny,cf,tx,ty,wk,ier,isolve)
-      use pdynamo_module,only: nc,ncee,cee,ceee
+      subroutine dismd2cr(nx,ny,cf,tx,ty,wk,isolve)
+      use params_module,only: nres_grid
+      use pdynamo_module,only: nc,cee,ceee
 c
 c     discretize elliptic pde for mud2cr, set nonfatal errors
 c
@@ -736,7 +736,7 @@ subroutine dismd2cr(nx,ny,cf,tx,ty,wk,ier,isolve)
 !     integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess,
 !    +             maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur,
 !    +             kcycle,iprer,ipost,intpol,kps
-      integer nx,ny,i,j,l,im1,jm1,ier,nnx,nny
+      integer nx,ny,i,j,l,im1,jm1,nnx,nny
       real cf(nx,ny,10),tx(nx,ny,*),ty(ny,nx,*)
       real wk(*)
       integer        intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,
@@ -760,7 +760,7 @@ subroutine dismd2cr(nx,ny,cf,tx,ty,wk,ier,isolve)
 	call shutdown('dismd2cr')
       ENDIF
       if (isolve >= 0) then
-        CALL CEEE(CEE(NC(6-KLEVEL)),NX,NY,CF)
+        CALL CEEE(CEE(NC(nres_grid+1-KLEVEL)),NX,NY,CF)
       else
         write(6,"('>>> mud: invalid isolve=',i3)") isolve
         call shutdown('isolve')
@@ -1104,7 +1104,7 @@ subroutine slxmd2cr(nx,ny,phi,cof,tx,sum)
 c     line relaxation in the x direction (periodic or nonperiodic)
 c
       implicit none
-      integer nx,ny,i,ib,j,ii
+      integer nx,ny,i,ib,j
       integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess,
      +             maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur,
      +             kcycle,iprer,ipost,intpol,kps
diff --git a/src/mudmod.F b/src/mudmod.F
index b270d44..10c001b 100644
--- a/src/mudmod.F
+++ b/src/mudmod.F
@@ -14,11 +14,11 @@
 ! !IROUTINE: mudmod
 ! !INTERFACE:
 !
-      subroutine mudmod(pe,jntl,isolve,ier)
+      subroutine mudmod(pe,phi,jntl,isolve,ier)
 ! !USES:
-      use pdynamo_module,only: nc,ncee,cee
-      use timing_module,only: timer,timing
-      use init_module,only: istep
+      use params_module,only: nres_grid
+      use pdynamo_module,only: cee
+      use timing_module,only: timer
       implicit none
 !
 ! !DESCRIPTION: multigrid solver with modified stencil
@@ -56,7 +56,7 @@ subroutine mudmod(pe,jntl,isolve,ier)
 c     set grid size params
 c
       integer iixp,jjyq,iiex,jjey,nnx,nny,llwork
-      parameter (iixp = 5 , jjyq = 3, iiex = 5, jjey = 5 )
+      parameter (iixp = 5, jjyq = 3, iiex = nres_grid, jjey = nres_grid)
       parameter (nnx=iixp*2**(iiex-1)+1, nny=jjyq*2**(jjey-1)+1)
 c
 c     estimate work space for point relaxation (see mud2cr.d)
@@ -375,8 +375,7 @@ subroutine mud2cm(iparm,fparm,work,rhs,phi,mgopt,
 	  itx = ktxbgn(k)
 	  ity = ktybgn(k)
 	  klevel = k
-	  call dismd2cr(nx,ny,work(ic),work(itx),work(ity),
-     +                  work,ierror,isolve)
+	  call dismd2cr(nx,ny,work(ic),work(itx),work(ity),work,isolve)
 	  end do
 	return
       end if   ! end of intl=0 initialization call block
@@ -418,7 +417,6 @@ subroutine mud2c1m(nx,ny,rhsf,phif,wk)
       integer kpbgn,kcbgn,ktxbgn,ktybgn,nxk,nyk,isx,jsy
       integer k,kb,ip,ic,ir,ipc,irc,icc
       integer ncx,ncy,jj,ij,i,j,iter
-      integer iw,itx,ity,ierror
       common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,
      +               iguess, maxcy,method,nwork,lwork,itero,ngrid,
      +               klevel,kcur,kcycle,iprer,ipost,intpol,kps
@@ -788,9 +786,8 @@ subroutine bnd2cm(nx,ny,cf)
      +             maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur,
      +             kcycle,iprer,ipost,intpol,kps
       real xa,xb,yc,yd,tolmax,relmax
-      integer nx,ny,i,j,kbdy,l,im1,jm1,ier,jc,nnx,nny
+      integer nx,ny,i,j,l
       real cf(nx,ny,*)
-      real dlx,dlx2,dlxx,dly,dly2,dlyy,cmin,alfmax,cemax
       common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,
      +               iguess, maxcy,method,nwork,lwork,itero,ngrid,
      +               klevel,kcur,kcycle,iprer,ipost,intpol,kps
diff --git a/src/muh2cr.F b/src/muh2cr.F
index 76ba33f..28dde69 100644
--- a/src/muh2cr.F
+++ b/src/muh2cr.F
@@ -21,7 +21,8 @@
 !
       subroutine muh(pe,jntl)
 ! !USES:
-      use pdynamo_module,only: nc,ncee,cee
+      use params_module,only: nmlon,nmlat
+      use pdynamo_module,only: cee
       implicit none
 !      
 ! !DESCRIPTION: multigrid solver as direct solver
@@ -44,7 +45,7 @@ subroutine muh(pe,jntl)
 c     set grid size params
 c
       integer iixp,jjyq,iiex,jjey,nnx,nny,llwork,iiwork
-      parameter (iixp = 80 , jjyq = 48,iiex = 1, jjey = 1 )
+      parameter (iixp = nmlon , jjyq = (nmlat-1)/2,iiex = 1, jjey = 1 )
       parameter (nnx=iixp*2**(iiex-1)+1, nny=jjyq*2**(jjey-1)+1)
 !
 c
@@ -373,8 +374,7 @@ subroutine muh2cr(iparm,fparm,wk,iwk,rhs,phi,mgopt,
 	  itx = ktxbgn(k)
 	  ity = ktybgn(k)
 	  klevel = k
-	  call dismh2cr(nx,ny,wk(ic),wk(itx),wk(ity),
-     +                  wk,iwk,ierror)
+	  call dismh2cr(nx,ny,wk(ic),wk(itx),wk(ity),wk,iwk)
 	  end do
 	return
       end if   ! end of intl=0 initialization call block
@@ -723,8 +723,9 @@ subroutine kcymh2cr(wk,iwk)
       return
       end
 
-      subroutine dismh2cr(nx,ny,cf,tx,ty,wk,iwk,ier)
-      use pdynamo_module,only: nc,ncee,cee,ceee
+      subroutine dismh2cr(nx,ny,cf,tx,ty,wk,iwk)
+      use params_module,only: nres_grid
+      use pdynamo_module,only: nc,cee,ceee
 c
 c     discretize elliptic pde for muh2cr, set nonfatal errors
 c
@@ -733,7 +734,7 @@ subroutine dismh2cr(nx,ny,cf,tx,ty,wk,iwk,ier)
      +             maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur,
      +             kcycle,iprer,ipost,intpol,kps
       real xa,xb,yc,yd,tolmax,relmax
-      integer nx,ny,iwk(*),i,j,kbdy,l,im1,jm1,ier,jc
+      integer nx,ny,iwk(*),i,j,l,im1,jm1
       real cf(nx,ny,10),tx(nx,ny,*),ty(ny,nx,*)
       real wk(*)
       common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,
@@ -754,7 +755,7 @@ subroutine dismh2cr(nx,ny,cf,tx,ty,wk,iwk,ier)
      |    'klevel = ',8I6)
 c	call shutdown('dismh2cr')
       ENDIF
-      CALL CEEE(CEE(NC(6-KLEVEL-4)),NX,NY,CF)  ! sub ceee is in mud.F
+      CALL CEEE(CEE(NC(nres_grid+1-KLEVEL-4)),NX,NY,CF)  ! sub ceee is in mud.F
 c
 c     set coefficient for specified boundaries
 c
@@ -1454,17 +1455,8 @@ subroutine adjmh2cr(nx,ny,phi,cf)
      +             maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur,
      +             kcycle,iprer,ipost,intpol,kps
       real xa,xb,yc,yd,tolmax,relmax
-      integer nx,ny,i,j,kbdy
+      integer nx,ny,i,j
       real cf(nx,ny,10),phi(0:nx+1,0:ny+1)
-      real dlx,dlx2,dlxx,dly,dly2,dlyy,dlxy,dlxy2,dlxy4,dxoy,dyox
-      real x,y,cxx,cxy,cyy,cx,cy,ce,c1,c2,c3,c4,c5
-      real c6,c7,c8
-      real alfaa,alfab,alfac,alfad,betaa,betab,betac,betad,det
-      real gamaa,gamab,gamac,gamad
-      real alfim1,alfi,alfip1,betim1,beti,betip1,gamim1,gami,gamip1
-      real alfjm1,alfj,alfjp1,betjm1,betj,betjp1,gamjm1,gamj,gamjp1
-      real gbdim1,gbdi,gbdip1,gbdj,gbdjm1,gbdjp1
-      real gbdya,gbdyb,gbdyc,gbdyd
       common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,
      +               iguess, maxcy,method,nwork,lwork,itero,ngrid,
      +               klevel,kcur,kcycle,iprer,ipost,intpol,kps
diff --git a/src/nchist.F b/src/nchist.F
index bed6c79..3f215a0 100644
--- a/src/nchist.F
+++ b/src/nchist.F
@@ -13,13 +13,11 @@ module nchist_module
      |  zpint
       use fields_module,only: nf4d,nf4d_hist,f4d,fakeflds,shortname_len,
      |  fsechist,itc,itp,fields_4d,fields_3d,fields_2d,poten,foutput,
-     |  tlbc,ulbc,vlbc,tlbc_glb,ulbc_glb,vlbc_glb,
-     |  tlbc_nm,ulbc_nm,vlbc_nm,tlbc_nm_glb,ulbc_nm_glb,vlbc_nm_glb,
+     |  tlbc,ulbc,vlbc,tlbc_nm,ulbc_nm,vlbc_nm,gzigm1,gzigm2,gnsrhs,
      |  nf3d,fzg
       use input_module,only: mxlen_filename,
      |  gswm_mi_di_ncfile, gswm_mi_sdi_ncfile, 
-     |  gswm_nm_di_ncfile, gswm_nm_sdi_ncfile,ctmt_ncfile,
-     |  amienh_ncfile,amiesh_ncfile
+     |  gswm_nm_di_ncfile, gswm_nm_sdi_ncfile,ctmt_ncfile
       use init_module,only: istep,start_mtime
       implicit none
 !
@@ -28,15 +26,11 @@ module nchist_module
 !
 #include "svn_revision.inc"
 !
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif
 !
       integer,private ::
      |  id_time,                   ! dimension id for time (unlimited)
-     |  id_mtimedim,               ! dimension id for model time (3)
+     |  id_mtimedim,               ! dimension id for model time (4)
      |  id_lon,id_lat,             ! horizontal dimension ids
      |  id_lev,id_ilev,            ! vertical dimension ids (midpoints,interfaces)
      |  id_mlon,id_mlat,           ! horizontal dimension ids for magnetic grid
@@ -47,10 +41,10 @@ module nchist_module
      |  id_fake,                   ! fake dimension id (1)
      |  id_datelen,                ! length of date and time
      |  id_filelen,                ! max length of a file name
-     |  ids1(1),ids2(2),ids3(3),ids4(4),! vectors of dim id's
-     |  start_2d(2),count_2d(2),	! start loc and count for 2d vars
-     |  start_3d(3),count_3d(3),        ! start loc and count for 3d vars
-     |  start_4d(4),count_4d(4),	! start loc and count for 4d vars
+     |  ids1(1),ids2(2),ids3(3),   ! vectors of dim id's
+     |  start_2d(2),count_2d(2),   ! start loc and count for 2d vars
+     |  start_3d(3),count_3d(3),   ! start loc and count for 3d vars
+     |  start_4d(4),count_4d(4),   ! start loc and count for 4d vars
 !
 ! Variable id's (idv_xxxx). Note lon, lat, lev, and time are
 !   coordinate variables (lon(lon), lat(lat), lev(lev), time(time)).
@@ -61,9 +55,10 @@ module nchist_module
      |  idv_lon,idv_lat,idv_lev,idv_ilev,
      |  idv_lbc,idv_tlbc,idv_ulbc,idv_vlbc,
      |  idv_tlbc_nm,idv_ulbc_nm,idv_vlbc_nm,
+     |  idv_gzigm1,idv_gzigm2,idv_gnsrhs,
      |  idv_mlon,idv_mlat,idv_mlev,idv_imlev,idv_p0_model,
      |  idv_step,idv_iter,idv_ntask,idv_year,idv_day,idv_p0,idv_grav,
-     |  idv_zg,idv_hpower,idv_ctpoten,idv_bximf,idv_byimf,idv_bzimf,
+     |  idv_hpower,idv_ctpoten,idv_bximf,idv_byimf,idv_bzimf,
      |  idv_colfac,idv_swden,idv_swvel,idv_al,idv_kp,
      |  idv_gswm_mi_di_ncfile,idv_gswm_mi_sdi_ncfile,
      |  idv_gswm_nm_di_ncfile,idv_gswm_nm_sdi_ncfile,
@@ -71,9 +66,8 @@ module nchist_module
      |  idv_f107d,idv_f107a,idv_imf_ncfile,idv_mag,idv_dtide,
      |  idv_sdtide,idv_f4d(nf4d),idv_e1,idv_e2,idv_h1,idv_h2,idv_alfac,
      |  idv_ec,idv_alfad,idv_ed,idv_writedate,idv_saber_ncfile,
-     |  idv_tidi_ncfile,idv_crit1,idv_crit2,idv_coupled_cmit,
-     |  idv_joulefac,idv_bgrddata_ncfile,idv_ctmt_ncfile,
-     |  idv_amienh_ncfile,idv_amiesh_ncfile
+     |  idv_tidi_ncfile,idv_crit1,idv_crit2,idv_coupled_mage,
+     |  idv_joulefac,idv_bgrddata_ncfile,idv_ctmt_ncfile
       integer,allocatable :: idv_sech(:)
       integer :: idv_fsech(mxfsech)
 !
@@ -98,6 +92,9 @@ subroutine nc_open(ncid,flnm,status,rdwr)
 !   opened read-only (NF_NOWRITE), otherwise (rdwr=='WRITE' or 
 !   'APPEND') the dataset is opened read/write (NF_WRITE).
 ! If the open fails, print error msg and return ncid == 0.
+!
+      use mpi_module,only: TIEGCM_WORLD
+      use mpi
 !
 ! Args:
       integer,intent(out) :: ncid    ! netcdf file id
@@ -112,7 +109,8 @@ subroutine nc_open(ncid,flnm,status,rdwr)
 !
 ! Create new dataset (clobber old one if it pre-exists):
 !
-        istat = nf_create(flnm,NF_CLOBBER,ncid)
+        istat = nf_create_par(flnm,ior(NF_NETCDF4,NF_MPIIO),
+     |    TIEGCM_WORLD,MPI_INFO_NULL,ncid)
         if (istat /= NF_NOERR) then
           write(char120,"('Error return from nf_create for netcdf ',
      |      'file ',a,' status=',a)") trim(flnm),status
@@ -129,13 +127,14 @@ subroutine nc_open(ncid,flnm,status,rdwr)
 !
       elseif (status=='OLD') then
         if (rdwr=='WRITE'.or.rdwr=='APPEND') then
-          istat = nf_open(flnm,NF_WRITE,ncid)
+          istat = nf_open_par(flnm,ior(NF_WRITE,NF_MPIIO),
+     |      TIEGCM_WORLD,mpi_info_null,ncid)
         elseif (rdwr=='READ') then
           istat = nf_open(flnm,NF_NOWRITE,ncid)
         else
           write(6,"('>>> nc_open: unrecognized rdwr=',a)") trim(rdwr)
-          write(6,"('  Will open NF_WRITE (read/write).')")
-          istat = nf_open(flnm,NF_WRITE,ncid)
+          write(6,"('  Will open NF_NOWRITE (read/write).')")
+          istat = nf_open(flnm,NF_NOWRITE,ncid)
         endif
         if (istat /= NF_NOERR) then
           write(char120,"('Error return from nf_open for netcdf ',
@@ -182,31 +181,27 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
 !   Prognostic fields are transferred to global fg-array (wrf4d).
 ! If there is a problem (e.g., mtime not found), return ier > 0
 !
-      use hist_module,only: sh,hist_initype,hist_print,nsource,
-     |  nsecsource
-      use input_module,only: start_day
+      use hist_module,only: sh,hist_initype,hist_print,nsource
 !
 ! Args:
-      integer,intent(in) :: ncid,mtime(3)
+      integer,intent(in) :: ncid,mtime(4)
       character(len=*),intent(in) :: diskfile
       integer,intent(out) :: itime,ier
 !
 ! Local:
       integer,parameter :: mxdims=20 ! assume <= mxdims dimensions
       integer,parameter :: mxvars=100 ! max # 4d vars
-      integer :: istat,id_time,id_mtimedim,mtime_read(3),ntimes,
-     |  i,ix,istart2(2),icount2(2),j,i4dims(4)
+      integer :: istat,id_time,id_mtimedim,mtime_read(4),ntimes,
+     |  i,istart2(2),icount2(2),j
       integer :: ndims,nvars,ngatts,idunlim,itype,natts,len,
      |  iddims(mxdims),iscalar,id
       character(len=80) :: varname
       character(len=80) :: varnames(mxvars)=' '
-      character(len=mxlen_filename) :: filename
-      real :: scalar,var1(1),var22(2,2),var2(2),var10(10),varlbc
+      real :: scalar,var1(1),var2(2),var10(10),varlbc
+      real,dimension(nlon) :: glon_rd
+      real,dimension(nlat) :: glat_rd
       real,dimension(nlevp1) :: zpmid_rd,zpint_rd
 !
-      integer,parameter :: mxf4d=100
-      character(len=16) :: f4dnames(mxf4d) ! list of 4d fields read
-      logical :: found 
       integer :: filelen ! file name length dimension on the file
 !
 ! External:
@@ -231,19 +226,28 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
       istat = nf_inq_dimlen(ncid,id_time,ntimes) ! length of time var
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'Error getting length of time record variable')
+!
+      istat = nf_inq_dimid(ncid,'mtimedim',id_mtimedim)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error getting dimension id of mtimedim')
+      istat = nf_inq_dimlen(ncid,id_mtimedim,len)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error getting length of mtimedim')
 !
 ! Search for requested model time. When found, retain time index itime:
       istart2(1) = 1
-      icount2(1) = 3
+      icount2(1) = len
       icount2(2) = 1
       itime = 0
+! Zero out the last entry (sec) when reading the old format (3-digit mtime)
+      mtime_read(4) = 0
       do i=1,ntimes
         istart2(2) = i
         istat = nf_get_vara_int(ncid,idv_mtime,istart2,icount2,
-     |    mtime_read)
+     |    mtime_read(1:len))
         if (istat /= NF_NOERR) call handle_ncerr(istat,
      |    'Error getting mtime values')
-        write(6,"('nc_rdhist: seeking ',3i4,' found ',3i4,'  n=',i3)")
+        write(6,"('nc_rdhist: seeking ',4i4,' found ',4i4,'  n=',i3)")
      |    mtime,mtime_read,i
         if (all(mtime_read==mtime)) then
           itime = i
@@ -251,7 +255,7 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
         endif
       enddo
       if (itime==0) then
-        write(6,"(/,'>>> nc_rdhist: mtime ',3i4,' NOT found on ',
+        write(6,"(/,'>>> nc_rdhist: mtime ',4i4,' NOT found on ',
      |    'diskfile ',a)") mtime,trim(diskfile)
         ier = 1
         return
@@ -264,21 +268,32 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
 !
 ! Define vars already found above:
       sh%ihist = itime
-      sh%modeltime(1:3) = mtime
-      sh%modeltime(4) = 0
+      sh%modeltime = mtime
 !
 ! Read global attributes:
       istat = nf_get_att_text(ncid,NF_GLOBAL,"label",sh%label)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,'get att label')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"create_date",
      |  sh%create_date)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'get att create_date')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"logname",sh%logname)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,'get att logname')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"host",sh%host)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,'get att host')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"system",sh%system)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,'get att system')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"model_name",sh%model_name)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'get att model_name')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"model_version",
      |  sh%model_version)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'get att model_version')
       istat = nf_get_att_int(ncid,NF_GLOBAL,"source_mtime",
      |  sh%source_mtime)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'get att source_mtime')
       istat = nf_get_att_text(ncid,NF_GLOBAL,"initial_file",
      |  sh%initial_file)
       if (istat /= NF_NOERR) ! was not on "old" histories
@@ -286,6 +301,8 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
 !
 ! History_type is either "primary" or "secondary":
       istat=nf_get_att_text(ncid,NF_GLOBAL,"history_type",sh%hist_type)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'get att history_type')
 !
 ! Check for tuv_lbc_intop (lbc of t,u,v stored in top slot)
 !   tuv_lbc_intop == 0 --> new history (tuv lbc *not* stored in top slot)
@@ -304,6 +321,7 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
 !
 ! Get number of dims, vars, atts, and id of unlimited dimension:
       istat = nf_inq(ncid,ndims,nvars,ngatts,idunlim)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,'inq')
 !
 ! Get dimensions and check against current model parameters:
 ! (i.e., current model run at resolution A should not read a 
@@ -311,6 +329,8 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
 !
       do i=1,ndims
         istat = nf_inq_dim(ncid,i,varname,len)
+        if (istat /= NF_NOERR)
+     |    call handle_ncerr(istat,'inq dim '//trim(varname))
         if (trim(varname)=='lon') then
           if (len /= nlon) then
             write(6,"(/,'>>> nc_rdhist: length of lon read from',
@@ -377,14 +397,33 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
           call handle_ncerr(istat,'inquiring about a var')
         endif
         select case(trim(varname))
+! Incompatible glon/glat is a fatal error, abort the execution
           case('lon')
-            istat = nf_get_var_double(ncid,i,glon)
+            istat = nf_get_var_double(ncid,i,glon_rd)
             if (istat /= NF_NOERR) 
      |        call handle_ncerr(istat,'reading glon')
+            if (.not.arrayeq(glon,glon_rd,nlon)) then
+              write(6,"(/,'>>> nc_rdhist: glon_rd',
+     |          ' is not equal to model glon')")
+              write(6,"('nlon=',i3,' glon_rd=',/,(10f7.3))") 
+     |          nlon,glon_rd
+              write(6,"('nlon=',i3,' glon   =',/,(10f7.3))")
+     |          nlon,glon
+              call shutdown('glon')
+            endif
           case('lat') 
-            istat = nf_get_var_double(ncid,i,glat)
+            istat = nf_get_var_double(ncid,i,glat_rd)
             if (istat /= NF_NOERR) 
      |        call handle_ncerr(istat,'reading glat')
+            if (.not.arrayeq(glat,glat_rd,nlat)) then
+              write(6,"(/,'>>> nc_rdhist: glat_rd',
+     |          ' is not equal to model glat')")
+              write(6,"('nlat=',i3,' glat_rd=',/,(10f7.3))") 
+     |          nlat,glat_rd
+              write(6,"('nlat=',i3,' glat   =',/,(10f7.3))")
+     |          nlat,glat
+              call shutdown('glat')
+            endif
 !
 ! New hist: lev(lev) is midpoints
           case('lev')
@@ -457,15 +496,16 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
               endif
             endif
 !
-! Magnetic coordinates:
+! Starting from v2.5, magnetic grids can change from a previous run,
+! so magnetic coordinates are no longer read from the source file
           case('mlon')
-            istat = nf_get_var_double(ncid,i,gmlon)
-            if (istat /= NF_NOERR) 
-     |        call handle_ncerr(istat,'reading gmlon')
+!           istat = nf_get_var_double(ncid,i,gmlon)
+!           if (istat /= NF_NOERR) 
+!    |        call handle_ncerr(istat,'reading gmlon')
           case('mlat') 
-            istat = nf_get_var_double(ncid,i,gmlat)
-            if (istat /= NF_NOERR) 
-     |        call handle_ncerr(istat,'reading gmlat')
+!           istat = nf_get_var_double(ncid,i,gmlat)
+!           if (istat /= NF_NOERR) 
+!    |        call handle_ncerr(istat,'reading gmlat')
           case('mlev')  ! mag midpoints
 
           case('imlev') ! mag interfaces
@@ -483,10 +523,16 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
             if (nsource <= 0) then
               istat=nf_get_att_int(ncid,i,"initial_year",
      |          sh%initial_year)
+              if (istat /= NF_NOERR)
+     |          call handle_ncerr(istat,'getting att initial_year')
               istat=nf_get_att_int(ncid,i,"initial_day",
      |          sh%initial_day)
+              if (istat /= NF_NOERR)
+     |          call handle_ncerr(istat,'getting att initial_day')
               istat=nf_get_att_int(ncid,i,"initial_mtime",
      |          sh%initial_mtime)
+              if (istat /= NF_NOERR)
+     |          call handle_ncerr(istat,'getting att initial_mtime')
             endif
 !
           case('mtime') ! already got it from hist search above
@@ -510,11 +556,11 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
             if (istat /= NF_NOERR) 
      |        call handle_ncerr(istat,'reading ntask_mpi')
             sh%ntask_mpi = iscalar
-          case('coupled_cmit')
+          case('coupled_mage')
             istat = nf_get_var1_int(ncid,i,itime,iscalar)
             if (istat /= NF_NOERR) 
-     |        call handle_ncerr(istat,'reading coupled_cmit')
-            sh%coupled_cmit = iscalar
+     |        call handle_ncerr(istat,'reading coupled_mage')
+            sh%coupled_mage = iscalar
           case('ut')
             istat = nf_get_var1_double(ncid,i,itime,scalar)
             if (istat /= NF_NOERR) 
@@ -686,14 +732,6 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
           case('ctmt_ncfile')
             call rdfilename(ncid,itime,i,trim(varname),filelen,
      |        sh%ctmt_ncfile)
-     
-! AMIE data file:
-          case('amienh_ncfile')
-            call rdfilename(ncid,itime,i,trim(varname),filelen,
-     |        sh%amienh_ncfile)
-          case('amiesh_ncfile')
-            call rdfilename(ncid,itime,i,trim(varname),filelen,
-     |        sh%amiesh_ncfile)
 !
 ! NCEP data file: ncep_ncfile(time,filelen), where filelen=mxlen_filename
 ! (ncep files used only by timegcm -- will always be '[none]' for tiegcm)
@@ -771,6 +809,12 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
             call rdlbc(ncid,i,ulbc_nm,varname,itime)
           case('VLBC_NM')
             call rdlbc(ncid,i,vlbc_nm,varname,itime)
+          case('gzigm1')
+            call rdlbc(ncid,i,gzigm1,varname,itime)
+          case('gzigm2')
+            call rdlbc(ncid,i,gzigm2,varname,itime)
+          case('gnsrhs')
+            call rdlbc(ncid,i,gnsrhs,varname,itime)
 !
 ! Check for variable name in 4-d fields:
           case default
@@ -820,7 +864,7 @@ subroutine nc_rdhist(ncid,diskfile,mtime,itime,ier)
         call shutdown('sh%nflds')
       endif
       do i=1,sh%nflds
-        sh%fnames(i) = varnames(i)
+        sh%fnames(i) = trim(varnames(i))
       enddo
 !
 ! Report to stdout:
@@ -845,17 +889,25 @@ subroutine rdlbc(ncid,idv,flbc,vname,itime)
 !
 ! Local:
       integer :: istat,i,j,lonbeg,lonend
-      real,dimension(nlon,nlat) :: glbc ! lbc at global domain
+      real,dimension(lon0:lon1,lat0:lat1) :: glbc ! lbc at global domain
       character(len=80) :: char80
 !
-      start_3d(1:2) = 1
+      lonbeg = lon0
+      if (lon0==1) lonbeg = 3
+      lonend = lon1
+      if (lon1==nlonp4) lonend = nlonp2
+      glbc = 0.
+!
+      start_3d(1) = lonbeg-2
+      start_3d(2) = lat0
       start_3d(3) = itime
-      count_3d(1) = nlon
-      count_3d(2) = nlat
+      count_3d(1) = lonend-lonbeg+1
+      count_3d(2) = lat1-lat0+1
       count_3d(3) = 1
 !
 ! Read global domain into local glbc:
-      istat = nf_get_vara_double(ncid,idv,start_3d,count_3d,glbc)
+      istat = nf_get_vara_double(ncid,idv,start_3d,count_3d,
+     |  glbc(lonbeg:lonend,:))
       if (istat /= NF_NOERR) then
         write(char80,"('Error reading ',a,' ncid=',i3)") 
      |    trim(vname),ncid
@@ -866,28 +918,12 @@ subroutine rdlbc(ncid,idv,flbc,vname,itime)
 !
 ! Store subdomain in flbc (actual arg is tlbc, ulbc, or vlbc):
 ! (Zero-out periodic points)
-      lonbeg = lon0
-      if (lon0==1) then
-        lonbeg = 3
-        flbc(1:2,:) = 0.
-      endif
-      lonend = lon1
-      if (lon1==nlonp4) then
-        lonend = lon1-2
-        flbc(lon1-1:lon1,:) = 0.
-      endif
       do j=lat0,lat1
-        do i=lonbeg,lonend
-          flbc(i,j) = glbc(i-2,j)
+        do i=lon0,lon1
+          flbc(i,j) = glbc(i,j)
         enddo
       enddo
-      
-#ifndef MPI
-! Periodic points for non-MPI runs:
-      flbc(1:2,:)              = flbc(nlonp4-3:nlonp4-2,:)
-      flbc(nlonp4-1:nlonp4,:)  = flbc(3:4,:)
-#endif
- 
+!
 !     write(6,"('Read ',a,' subdomain from source history: min,max=',
 !    |  2e12.4)")  trim(vname), minval(flbc(lon0:lon1,lat0:lat1)),
 !    |                          maxval(flbc(lon0:lon1,lat0:lat1))
@@ -929,20 +965,29 @@ subroutine rdf4d(ncid,name,itime,ix)
       integer,intent(in) :: ncid,itime,ix
 !
 ! Local:
-      integer :: i,ii,j,k,istat,idvar,itype,ndims,iddims(4),natts,
-     |  iscalar,idimsizes(4),nx,nxk,lonbeg,lonend,nnans,nanfatal
+      integer :: i,j,k,istat,idvar,itype,ndims,iddims(4),natts,
+     |  idimsizes(4),lonbeg,lonend,nnans,nanfatal
       character(len=16) :: rdname,tmpname
       character(len=120) :: char120
-      real :: fakevar(1,1,1),fmin,fmax,fmin1,fmax1
-      real :: f3drd(nlon,nlat,nlevp1) ! (i,j,k) as on history 
-      real :: zmj2,zmj1,fac
+      real :: fakevar(1,1,1),fmin,fmax
+      real :: f3drd(lon0:lon1,lat0:lat1,nlevp1) ! (i,j,k) as on history 
 !
 ! External:
       integer,external :: strloc
 !
 ! Get info about the field:
       istat = nf_inq_varid(ncid,name,idvar)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error return from nf_inq_varid',
+     |    ' for field var ',a,' itime=',i2)") name,itime
+        call handle_ncerr(istat,'inq')
+      endif
       istat = nf_inq_var(ncid,idvar,rdname,itype,ndims,iddims,natts)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error return from nf_inq_var',
+     |    ' for field var ',a,' itime=',i2)") name,itime
+        call handle_ncerr(istat,'inq')
+      endif
       if (ndims /= 4) then
         write(6,"(/,'>>> WARNING rdf4d: bad ndims=',i3,
      |    ' (every prognostic should have 4 dimensions)')") ndims
@@ -951,6 +996,11 @@ subroutine rdf4d(ncid,name,itime,ix)
 ! Get info about the dimensions:
       do i=1,ndims
         istat = nf_inq_dim(ncid,iddims(i),tmpname,idimsizes(i))
+        if (istat /= NF_NOERR) then
+          write(char120,"('Error return from nf_inq_dim',
+     |      ' for field var ',a,' itime=',i2)") name,itime
+          call handle_ncerr(istat,'inq')
+        endif
       enddo 
 !
 ! Check dimension sizes against current model grid resolution:
@@ -976,7 +1026,7 @@ subroutine rdf4d(ncid,name,itime,ix)
         istat = nf_get_vara_double(ncid,idvar,start_4d,count_4d,fakevar)
         if (istat /= NF_NOERR) then
           write(char120,"('Error return from nf_get_vara_double',
-     +      ' for fake field var ',a,' itime=',i2)") name,itime
+     |      ' for fake field var ',a,' itime=',i2)") name,itime
           call handle_ncerr(istat,char120)
         endif
         return
@@ -1001,44 +1051,49 @@ subroutine rdf4d(ncid,name,itime,ix)
      |    ' helium at time t-1 (HE_NM) to zero.')") calc_helium
         return
       endif
+!
+      lonbeg = lon0
+      if (lon0==1) lonbeg = 3
+      lonend = lon1
+      if (lon1==nlonp4) lonend = nlonp2
+      f3drd = 0.
 !
 ! Read field into local f3drd:
-      start_4d(1:3) = 1
+      start_4d(1) = lonbeg-2
+      start_4d(2) = lat0
+      start_4d(3) = 1
       start_4d(4) = itime
-      count_4d(1) = nlon
-      count_4d(2) = nlat
+      count_4d(1) = lonend-lonbeg+1
+      count_4d(2) = lat1-lat0+1
       count_4d(3) = nlevp1
       count_4d(4) = 1
-      istat = nf_get_vara_double(ncid,idvar,start_4d,count_4d,f3drd)
+      istat = nf_get_vara_double(ncid,idvar,start_4d,count_4d,
+     |  f3drd(lonbeg:lonend,:,:))
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_get_vara_double',
-     +    ' for field var ',a,' itime=',i2)") name,itime
+     |    ' for field var ',a,' itime=',i2)") name,itime
         call handle_ncerr(istat,char120)
       endif
 !
 ! Check for NaNs in the source history:
 !     subroutine check_nans(f,id1,id2,id3,name,n_total,ispval,spval,
 !    |  iprint,ifatal)
-! real :: f3drd(nlon,nlat,nlevp1) ! (i,j,k) as on history 
+! real :: f3drd(lon0:lon1,lat0:lat1,nlevp1) ! (i,j,k) as on history 
 !
       nanfatal = 0 ! reading nans from source history is non-fatal
       if (check_nan)
-     |  call check_nans(f3drd,nlon,nlat,nlevp1,name(1:8),nnans,0,0.,1,
-     |    nanfatal)
+     |  call check_nans(f3drd,lon1-lon0+1,lat1-lat0+1,nlevp1,name(1:8),
+     |    nnans,0,0.,1,nanfatal)
 !
 ! Transform from f3drd(i,j,k) to f4d(k,i,j):
-      lonbeg = lon0
-      if (lon0==1) lonbeg = 3
-      lonend = lon1
-      if (lon1==nlonp4) lonend = lon1-2
       do j=lat0,lat1
-        do i=lonbeg,lonend
+        do i=lon0,lon1
           do k=1,nlevp1
 !
-! Local : real :: f3drd(nlon,nlat,nlevp1) ! (i,j,k) as on history 
+! Local : real :: f3drd(lon0:lon1,lat0:lat1,nlevp1) ! (i,j,k) as on history 
 ! Global: real,pointer :: f4d(ix)%data(levd0:levd1,lond0:lond1,latd0:latd1) 
 !
-            f4d(ix)%data(k,i,j,itp) = f3drd(i-2,j,k)
+            f4d(ix)%data(k,i,j,itp) = f3drd(i,j,k)
           enddo ! k=1,nlevp1
         enddo ! i=lonbeg,lonend  
       enddo ! j=lat0,lat1
@@ -1125,20 +1180,19 @@ subroutine nc_define(ncid)
 !   Values are given to the dimension variables, and the file
 !     is taken out of define mode (ready to receive histories)
 !
-      use hist_module,only: h,sh,nsource,nsecsource
-      use cons_module,only: pi
-      use input_module,only: potential_model,ncep_ncfile
+      use hist_module,only: h,sh,nsource
+      use input_module,only: potential_model
       use params_module,only: tgcm_name,tgcm_version
 !
 ! Args:
       integer,intent(in) :: ncid
 !
 ! Local:
-      integer :: i,ii,istat,idum,ivar1(1),imo,ida,startmtime(4),nbytes
+      integer :: i,istat,idum,ivar1(1),imo,ida,startmtime(4),nbytes
       character(len=120) :: char120
       character(len=80) :: char80
       character(len=24) :: create_date,create_time
-      real :: var1(1),rdays,rmins
+      real :: var1(1),rsecs
       real,external :: mtime_to_datestr
 !
 ! Define dimensions (field vars will be (time,lev,lat,lon) in
@@ -1146,7 +1200,7 @@ subroutine nc_define(ncid)
 !
       istat = nf_def_dim(ncid,"time",NF_UNLIMITED,id_time)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining time dimension')
+     |  'Error defining time dimension')
 !
 ! Geographic grid dimensions:
       istat = nf_def_dim(ncid,"lon",nlon,id_lon)
@@ -1184,33 +1238,33 @@ subroutine nc_define(ncid)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
      |  'Error defining magnetic interface levels dimension')
 
-      istat = nf_def_dim(ncid,"mtimedim",3,id_mtimedim)
+      istat = nf_def_dim(ncid,"mtimedim",4,id_mtimedim)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining mtime dimension')
+     |  'Error defining mtime dimension')
       istat = nf_def_dim(ncid,"latlon",2,id_latlon)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining latlon dimension')
+     |  'Error defining latlon dimension')
       istat = nf_def_dim(ncid,"dtidedim",2,id_dtide)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining dtide dimension')
+     |  'Error defining dtide dimension')
       istat = nf_def_dim(ncid,"sdtidedim",10,id_sdtide)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining sdtide dimension')
+     |  'Error defining sdtide dimension')
       if (fakeflds) then ! fake dimension for testing
         istat = nf_def_dim(ncid,"fakedim",1,id_fake)
         if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +    'Error defining fakedim dimension')
+     |    'Error defining fakedim dimension')
       endif
 !
 ! String length of date and time:
       istat = nf_def_dim(ncid,"datelen",len(h%write_date),id_datelen)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining datelen dimension')
+     |  'Error defining datelen dimension')
 !
 ! String length of file names (mxlen_filename is parameter in input.F):
       istat = nf_def_dim(ncid,"filelen",mxlen_filename,id_filelen)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining filelen dimension')
+     |  'Error defining filelen dimension')
 !
 ! Define dimension (coordinate) variables and attributes:
 !
@@ -1219,52 +1273,60 @@ subroutine nc_define(ncid)
 ! where yyyy is the year, m is month, and d is day of the source
 ! start time.
 !
-      ids1(1) = id_time	! for 1d time-unlimited vars
+      ids1(1) = id_time ! for 1d time-unlimited vars
       istat = nf_def_var(ncid,"time",NF_DOUBLE,1,ids1,idv_time)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining time dimension variable')
-      startmtime(1:3) = sh%initial_mtime(1:3) ; startmtime(4) = 0
-!     rdays = mtime_to_datestr(sh%initial_year,startmtime,imo,ida,
-!    |  char80)
-      rmins = mtime_to_datestr(sh%initial_year,startmtime,imo,ida,
+     |  'Error defining time dimension variable')
+      startmtime = sh%initial_mtime
+      rsecs = mtime_to_datestr(sh%initial_year,startmtime,imo,ida,
      |  char80)
       istat = nf_put_att_text(ncid,idv_time,"long_name",4,"time")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining long_name of time dimension variable')
       istat = nf_put_att_text(ncid,idv_time,"units",len_trim(char80),
      |  trim(char80))
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining units of time dimension variable')
       istat = nf_put_att_int(ncid,idv_time,"initial_year",NF_INT,1,
      |  h%initial_year)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining initial_year of time dimension variable')
       istat = nf_put_att_int(ncid,idv_time,"initial_day",NF_INT,1,
      |  h%initial_day)
-      istat = nf_put_att_int(ncid,idv_time,"initial_mtime",NF_INT,3,
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining initial_day of time dimension variable')
+      istat = nf_put_att_int(ncid,idv_time,"initial_mtime",NF_INT,4,
      |  h%initial_mtime)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining initial_mtime of time dimension variable')
 !
 ! Geographic longitude (deg) (coordinate variable lon(lon)):
       ids1(1) = id_lon
       istat = nf_def_var(ncid,"lon",NF_DOUBLE,1,ids1,idv_lon)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining longitude dimension variable')
+     |  'Error defining longitude dimension variable')
       write(char80,"('geographic longitude (-west, +east)')")
       istat = nf_put_att_text(ncid,idv_lon,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of longitude dimension variable')
+     |  'Error defining long_name of longitude dimension variable')
       istat = nf_put_att_text(ncid,idv_lon,"units",12,'degrees_east')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of longitude dimension variable')
+     |  'Error defining units of longitude dimension variable')
 !
 ! Geographic latitude (deg) (coordinate variable lat(lat)):
       ids1(1) = id_lat
       istat = nf_def_var(ncid,"lat",NF_DOUBLE,1,ids1,idv_lat)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining latitude dimension variable')
+     |  'Error defining latitude dimension variable')
       write(char80,"('geographic latitude (-south, +north)')")
       istat = nf_put_att_text(ncid,idv_lat,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of latitude dimension variable')
+     |  'Error defining long_name of latitude dimension variable')
       istat = nf_put_att_text(ncid,idv_lat,"units",13,'degrees_north')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of latitude dimension variable')
+     |  'Error defining units of latitude dimension variable')
 !
 ! Midpoint levels coordinate variable lev(lev):
       ids1(1) = id_lev
@@ -1356,41 +1418,41 @@ subroutine nc_define(ncid)
       ids1(1) = id_mlon
       istat = nf_def_var(ncid,"mlon",NF_DOUBLE,1,ids1,idv_mlon)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining magnetic longitude dimension variable')
+     |  'Error defining magnetic longitude dimension variable')
       write(char80,"('magnetic longitude (-west, +east)')")
       istat = nf_put_att_text(ncid,idv_mlon,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of mag longitude dimension variable')
+     |  'Error defining long_name of mag longitude dimension variable')
       istat = nf_put_att_text(ncid,idv_mlon,"units",12,'degrees_east')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of magnetic longitude dimension variable')
+     |  'Error defining units of magnetic longitude dimension variable')
 !
 ! Magnetic latitude (deg) (coordinate variable mlat(mlat)):
       ids1(1) = id_mlat
       istat = nf_def_var(ncid,"mlat",NF_DOUBLE,1,ids1,idv_mlat)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining magnetic latitude dimension variable')
+     |  'Error defining magnetic latitude dimension variable')
       write(char80,"('magnetic latitude (-south, +north)')")
       istat = nf_put_att_text(ncid,idv_mlat,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of mag latitude dimension variable')
+     |  'Error defining long_name of mag latitude dimension variable')
       istat = nf_put_att_text(ncid,idv_mlat,"units",13,'degrees_north')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of magnetic latitude dimension variable')
+     |  'Error defining units of magnetic latitude dimension variable')
 !
 ! Magnetic midpoint coordinate variable mlev(mlev)):
       ids1(1) = id_mlev
       istat = nf_def_var(ncid,"mlev",NF_DOUBLE,1,ids1,idv_mlev)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining magnetic levels coord variable mlev')
+     |  'Error defining magnetic levels coord variable mlev')
 ! long name of mlev:
       write(char80,"('magnetic midpoint levels')")
       istat = nf_put_att_text(ncid,idv_mlev,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of mlev coordinate variable')
+     |  'Error defining long_name of mlev coordinate variable')
 ! short name = ln(p0/p)
       istat = nf_put_att_text(ncid,idv_mlev,"short_name",
      |  8,"ln(p0/p)")
@@ -1399,17 +1461,17 @@ subroutine nc_define(ncid)
 ! units of mlev (unitless):
       istat = nf_put_att_text(ncid,idv_mlev,"units",0," ")
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of mlev coordinate variable')
+     |  'Error defining units of mlev coordinate variable')
 ! positive attribute of mlev:
       istat = nf_put_att_text(ncid,idv_mlev,"positive",2,'up')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining positive attribute for mlev coord var')
+     |  'Error defining positive attribute for mlev coord var')
 ! standard_name of mlev:
       write(char80,"('atmosphere_ln_pressure_coordinate')")
       istat = nf_put_att_text(ncid,idv_mlev,"standard_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining standard_name attribute for mlev coord var')
+     |  'Error defining standard_name attribute for mlev coord var')
 ! formula terms for mlev:
       write(char80,"('p0: p0 lev: mlev')")
       istat = nf_put_att_text(ncid,idv_mlev,"formula_terms",
@@ -1427,13 +1489,13 @@ subroutine nc_define(ncid)
       ids1(1) = id_imlev
       istat = nf_def_var(ncid,"imlev",NF_DOUBLE,1,ids1,idv_imlev)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining magnetic levels coord variable imlev')
+     |  'Error defining magnetic levels coord variable imlev')
 ! long name of imlev:
       write(char80,"('magnetic interface levels')")
       istat = nf_put_att_text(ncid,idv_imlev,"long_name",
-     +  len_trim(char80),trim(char80))
+     |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of imlev coordinate variable')
+     |  'Error defining long_name of imlev coordinate variable')
 ! short name = ln(p0/p)
       istat = nf_put_att_text(ncid,idv_imlev,"short_name",
      |  8,"ln(p0/p)")
@@ -1442,17 +1504,17 @@ subroutine nc_define(ncid)
 ! units of imlev (unitless):
       istat = nf_put_att_text(ncid,idv_imlev,"units",0," ")
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of imlev coordinate variable')
+     |  'Error defining units of imlev coordinate variable')
 ! positive attribute of imlev:
       istat = nf_put_att_text(ncid,idv_imlev,"positive",2,'up')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining positive attribute for imlev coord var')
+     |  'Error defining positive attribute for imlev coord var')
 ! standard_name of imlev:
       write(char80,"('atmosphere_ln_pressure_coordinate')")
       istat = nf_put_att_text(ncid,idv_imlev,"standard_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining standard_name attribute for imlev coord var')
+     |  'Error defining standard_name attribute for imlev coord var')
 ! formula terms for imlev:
       write(char80,"('p0: p0 lev: imlev')")
       istat = nf_put_att_text(ncid,idv_imlev,"formula_terms",
@@ -1467,56 +1529,62 @@ subroutine nc_define(ncid)
      | 'Error defining formula for imlev coord var')
 !
 ! ids1(1) is id of time dimension for the following defines:
-      ids1(1) = id_time	! for 1d time-unlimited vars
+      ids1(1) = id_time ! for 1d time-unlimited vars
 !
 ! Source date and time are attributes of time var 
 ! (they are also global file attributes):
       istat = nf_put_att_int(ncid,idv_time,"initial_year",NF_INT,1,
      |  sh%initial_year)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     | 'Error defining initial_year of time dimension variable')
       istat = nf_put_att_int(ncid,idv_time,"initial_day",NF_INT,1,
      |  sh%initial_day)
-      istat = nf_put_att_int(ncid,idv_time,"initial_mtime",NF_INT,3,
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     | 'Error defining initial_day of time dimension variable')
+      istat = nf_put_att_int(ncid,idv_time,"initial_mtime",NF_INT,4,
      |  sh%initial_mtime)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     | 'Error defining initial_mtime of time dimension variable')
 !
 ! Define "primary" (non-coordinate) time dependent variables:
 ! (these variables get a value for each history) 
 !
-! Model time variable mtime(3,time), where 3 is the mtime dimension 
-! (id_mtimedim) (day,hour,minute), and time is the unlimited dimension 
+! Model time variable mtime(4,time), where 4 is the mtime dimension 
+! (id_mtimedim) (day,hour,minute,second), and time is the unlimited dimension 
 ! (id_time):
 !
       ids2(1) = id_mtimedim
       ids2(2) = id_time
       istat = nf_def_var(ncid,"mtime",NF_INT,2,ids2,idv_mtime)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining mtime variable')
-      write(char80,"('model times (day, hour, minute)')")
+     |  'Error defining mtime variable')
+      write(char80,"('model times (day, hour, minute, second)')")
       istat = nf_put_att_text(ncid,idv_mtime,"long_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name attribute of mtime variable')
-      istat = nf_put_att_text(ncid,idv_mtime,"units",17,
-     |  'day, hour, minute')
+     |  'Error defining long_name attribute of mtime variable')
+      istat = nf_put_att_text(ncid,idv_mtime,"units",25,
+     |  'day, hour, minute, second')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of mtime variable')  
+     |  'Error defining units of mtime variable')  
 !
 ! Calendar year and day (this will be advanced if model is advancing
 ! in calendar time, otherwise will be constant from input)
       istat = nf_def_var(ncid,"year",NF_INT,1,ids1,idv_year)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining calendar year variable')
+     |  'Error defining calendar year variable')
       istat = nf_put_att_text(ncid,idv_year,"long_name",
      |  13,'calendar year')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of calendar year variable')
+     |  'Error defining long_name of calendar year variable')
 !
       istat = nf_def_var(ncid,"day",NF_INT,1,ids1,idv_day)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining calendar day variable')
+     |  'Error defining calendar day variable')
       istat = nf_put_att_text(ncid,idv_day,"long_name",
      |  12,'calendar day')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of calendar day variable')
+     |  'Error defining long_name of calendar day variable')
 !
 ! Calendar advance:
       istat = nf_def_var(ncid,"calendar_advance",NF_INT,1,ids1,
@@ -1535,57 +1603,57 @@ subroutine nc_define(ncid)
       ids2(2) = id_time
       istat= nf_def_var(ncid,"write_date",NF_CHAR,2,ids2,idv_writedate)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining history write_date variable')
+     |  'Error defining history write_date variable')
       write(char80,"('Date and time each history was written')")
       istat = nf_put_att_text(ncid,idv_writedate,"long_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of write_date')
+     |  'Error defining long_name of write_date')
 !
-! Number of time steps from model time 0,0,0 to current model time
+! Number of time steps from model time 0,0,0,0 to current model time
 ! (iter(time)):
       istat = nf_def_var(ncid,"iter",NF_INT,1,ids1,idv_iter)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining iter variable')
+     |  'Error defining iter variable')
       istat = nf_put_att_text(ncid,idv_iter,"long_name",
-     |  42,'number of time steps from model time 0,0,0')
+     |  44,'number of time steps from model time 0,0,0,0')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of iter variable')
+     |  'Error defining long_name of iter variable')
 !
 ! Number of MPI tasks:
       istat = nf_def_var(ncid,"ntask_mpi",NF_INT,1,ids1,idv_ntask)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining ntask_mpi variable')
+     |  'Error defining ntask_mpi variable')
       istat = nf_put_att_text(ncid,idv_ntask,"long_name",
      |  19,'Number of MPI tasks')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of ntask_mpi variable')
+     |  'Error defining long_name of ntask_mpi variable')
 !
-! If this run was coupled w/ CISM/CMIT:
-      istat = nf_def_var(ncid,"coupled_cmit",NF_INT,1,ids1,
-     |  idv_coupled_cmit)
+! If this run was coupled w/ MAGE:
+      istat = nf_def_var(ncid,"coupled_mage",NF_INT,1,ids1,
+     |  idv_coupled_mage)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     |  'Error defining coupled_cmit variable')
-      istat = nf_put_att_text(ncid,idv_coupled_cmit,"long_name",
-     |  40,'1 if coupled with CISM/CMIT, 0 otherwise')
+     |  'Error defining coupled_mage variable')
+      istat = nf_put_att_text(ncid,idv_coupled_mage,"long_name",
+     |  40,'1 if coupled with MAGE, 0 otherwise')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     |  'Error defining long_name of coupled_cmit variable')
+     |  'Error defining long_name of coupled_mage variable')
 !
 ! Decimal ut(time) (ids1==id_time is unlimited time dimension):
       call defvar_time_dbl(ncid,"ut",ids1,idv_ut,
-     |  "universal time (from model time hour and minute)",
+     |  "universal time (from model time hour, minute and second)",
      |  "hours")
 !
 ! Time step (seconds) (integer scalar) (time-independent):
       istat = nf_def_var(ncid,"timestep",NF_INT,0,idum,idv_step)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining timestep variable')
+     |  'Error defining timestep variable')
       istat = nf_put_att_text(ncid,idv_step,"long_name",8,'timestep')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name of timestep variable')
+     |  'Error defining long_name of timestep variable')
       istat = nf_put_att_text(ncid,idv_step,"units",7,'seconds')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of timestep variable')
+     |  'Error defining units of timestep variable')
 !
 ! f107 daily and f107 average solar fluxes:
       call defvar_time_dbl(ncid,"f107d",ids1,idv_f107d,
@@ -1605,6 +1673,8 @@ subroutine nc_define(ncid)
       call defvar_time_dbl(ncid,"Kp",ids1,idv_kp,"Kp index"," ")
       istat = nf_put_att_text(ncid,idv_kp,"data_source",
      |  len_trim(datasource_kp),datasource_kp)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining data_source of Kp variable')
 !
 ! BX,BY,BZ:
       call defvar_time_dbl(ncid,"bximf",ids1,idv_bximf,
@@ -1638,24 +1708,24 @@ subroutine nc_define(ncid)
       ids2(2) = id_time
       istat = nf_def_var(ncid,"dtide",NF_DOUBLE,2,ids2,idv_dtide)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable dtide')
+     |  'Error defining variable dtide')
       write(char80,"('amplitude and phase of diurnal tide mode (1,1)')")
       istat = nf_put_att_text(ncid,idv_dtide,"long_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name attribute of variable dtide')
+     |  'Error defining long_name attribute of variable dtide')
 !
 ! Semi-diurnal tide amp/phase:
       ids2(1) = id_sdtide
       ids2(2) = id_time
       istat = nf_def_var(ncid,"sdtide",NF_DOUBLE,2,ids2,idv_sdtide)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable sdtide')
+     |  'Error defining variable sdtide')
       write(char80,"('amplitudes and phases of semi-diurnal tide')")
       istat = nf_put_att_text(ncid,idv_sdtide,"long_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name attribute of variable sdtide')
+     |  'Error defining long_name attribute of variable sdtide')
 !
 ! Define ncep data file (used by timegcm only):
       call define_ncfile(ncid,"ncep_ncfile",idv_ncep_ncfile,
@@ -1687,14 +1757,6 @@ subroutine nc_define(ncid)
      |  "long_name","CTMT lbc data file",
      |  "data","U,V, T, Z")
 !
-! Define amie data file:
-      call define_ncfile(ncid,"amienh_ncfile",idv_amienh_ncfile,
-     |  "long_name","AMIE NH data file",
-     |  "data","potential,energy flux, mean energy")
-      call define_ncfile(ncid,"amiesh_ncfile",idv_amiesh_ncfile,
-     |  "long_name","AMIE SH data file",
-     |  "data","potential,energy flux, mean energy")
-!
 ! Define TIMED SEE data file:
       call define_ncfile(ncid,"see_ncfile",idv_see_ncfile,
      |  "long_name","TIMED SEE data file",
@@ -1791,28 +1853,32 @@ subroutine nc_define(ncid)
       ids2(2) = id_latlon
       istat = nf_def_var(ncid,"mag",NF_DOUBLE,2,ids2,idv_mag)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable mag')
+     |  'Error defining variable mag')
       write(char80,"('lat,lon coordinates of S,N magnetic poles')")
       istat = nf_put_att_text(ncid,idv_mag,"long_name",
      |  len_trim(char80),trim(char80))
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining long_name attribute of variable mag')
+     |  'Error defining long_name attribute of variable mag')
       istat = nf_put_att_text(ncid,idv_mag,"units",7,
      |  'degrees')
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining units of variable mag')  
+     |  'Error defining units of variable mag')  
 !
 ! Reference pressure used to convert ln(p0/p) to pressure (millibars (hPa)):
       istat = nf_def_var(ncid,"p0",NF_DOUBLE,0,idum,idv_p0)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable p0')
+     |  'Error defining variable p0')
       istat = nf_put_att_text(ncid,idv_p0,"long_name",
      |  18,"Reference pressure") ! for conversion of vertical coordinates
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining long_name attribute of variable p0')
 !
 ! 4/26/06 btf: p0 units can be either hPa or millibars. Using the latter
 !              now to be consistent w/ microbar units of p0_model
       istat = nf_put_att_text(ncid,idv_p0,"units",9,"millibars")
 !     istat = nf_put_att_text(ncid,idv_p0,"units",3,"hPA")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining units attribute of variable p0')
 !
 ! Reference pressure used by the model (dynes/cm2):
 ! p0_model units can be either dynes/cm2 or microbars. Using the latter 
@@ -1820,26 +1886,36 @@ subroutine nc_define(ncid)
 !
       istat = nf_def_var(ncid,"p0_model",NF_DOUBLE,0,idum,idv_p0_model)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable p0')
+     |  'Error defining variable p0_model')
       char80 = ' ' 
       write(char80,"('Reference pressure (as used by the model)')")
       istat = nf_put_att_text(ncid,idv_p0_model,"long_name",
      |  len_trim(char80),trim(char80))
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining long_name attribute of variable p0_model')
       istat = nf_put_att_text(ncid,idv_p0_model,"units",9,"microbars")
 !     istat = nf_put_att_text(ncid,idv_p0_model,"units",9,"dynes/cm2")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining units attribute of variable p0_model')
 !
 ! Gravity (constant used in the model, independent of height):
       istat = nf_def_var(ncid,"grav",NF_DOUBLE,0,idum,idv_grav)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error defining variable grav')
+     |  'Error defining variable grav')
       istat = nf_put_att_text(ncid,idv_grav,"long_name",
      |  26,"gravitational acceleration")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining long_name attribute of variable grav')
       istat = nf_put_att_text(ncid,idv_grav,"units",
      |  4,"cm/s")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining units attribute of variable grav')
       write(char80,"('constant used in the model, independent of ',
      |  'height')")
       istat = nf_put_att_text(ncid,idv_grav,"info",
      |  len_trim(char80),trim(char80))
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error defining info attribute of variable grav')
 !
 ! All prognostic fields are on primary history:
       if (h%hist_type(1:3)=='pri') then
@@ -1862,6 +1938,9 @@ subroutine nc_define(ncid)
       call deflbc(ncid,"TLBC_NM",idv_tlbc_nm,h%hist_type)
       call deflbc(ncid,"ULBC_NM",idv_ulbc_nm,h%hist_type)
       call deflbc(ncid,"VLBC_NM",idv_vlbc_nm,h%hist_type)
+      call deflbc(ncid,"gzigm1",idv_gzigm1,h%hist_type)
+      call deflbc(ncid,"gzigm2",idv_gzigm2,h%hist_type)
+      call deflbc(ncid,"gnsrhs",idv_gnsrhs,h%hist_type)
 !
 ! Define LBC: bottom interface level (scalar coord of TLBC,ULBC,VLBC):
       istat = nf_def_var(ncid,"LBC",NF_DOUBLE,0,idum,idv_lbc)
@@ -1900,65 +1979,55 @@ subroutine nc_define(ncid)
       call datetime(create_date,create_time)
       h%create_date = trim(create_date)//' '//trim(create_time)
       istat = nf_put_att_text(ncid,NF_GLOBAL,"create_date",
-     +  len_trim(h%create_date),trim(h%create_date))
+     |  len_trim(h%create_date),trim(h%create_date))
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for create_date global attribute')")
+     |    'for create_date global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
 ! User login name:
       istat = nf_put_att_text(ncid,NF_GLOBAL,"logname",
-     +  len_trim(h%logname),trim(h%logname))
+     |  len_trim(h%logname),trim(h%logname))
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for logname global attribute')")
+     |    'for logname global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
 ! Machine host name:
       istat = nf_put_att_text(ncid,NF_GLOBAL,"host",
-     +  len_trim(h%host),trim(h%host)) 
+     |  len_trim(h%host),trim(h%host)) 
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for host global attribute')")
+     |    'for host global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
 ! Machine operating system (from pre-proc macro)
       istat = nf_put_att_text(ncid,NF_GLOBAL,"system",
-     +  len_trim(h%system),trim(h%system)) 
+     |  len_trim(h%system),trim(h%system)) 
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for system global attribute')")
+     |    'for system global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
 ! Model name string:
       istat = nf_put_att_text(ncid,NF_GLOBAL,"model_name",
-     +  len_trim(tgcm_name),trim(tgcm_name)) 
+     |  len_trim(tgcm_name),trim(tgcm_name)) 
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for model name global attribute')")
+     |    'for model name global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
 ! Model version string:
       istat = nf_put_att_text(ncid,NF_GLOBAL,"model_version",
-     +  len_trim(tgcm_version),trim(tgcm_version)) 
+     |  len_trim(tgcm_version),trim(tgcm_version)) 
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
-     +    'for model version global attribute')")
-        call handle_ncerr(istat,char120)
-      endif
-!
-! SVN version (see included file revision.inc, created by the build):
-      write(6,"('nc_define: svn_revision = ',a)") trim(svn_revision)
-      istat = nf_put_att_text(ncid,NF_GLOBAL,"svn_revision",
-     +  len_trim(svn_revision),trim(svn_revision)) 
-      if (istat /= NF_NOERR) then
-        write(char120,"('Error return from nf_put_att_text ',
-     +    'for SVN version global attribute')")
+     |    'for model version global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
@@ -2006,7 +2075,7 @@ subroutine nc_define(ncid)
 !
 ! Source model time (will be same as start time for this run,
 ! whether initial or continuation)
-      istat = nf_put_att_int(ncid,NF_GLOBAL,"source_mtime",NF_INT,3,
+      istat = nf_put_att_int(ncid,NF_GLOBAL,"source_mtime",NF_INT,4,
      |  h%source_mtime)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
@@ -2024,7 +2093,7 @@ subroutine nc_define(ncid)
       endif
 !
 ! Initial mtime (this is also an attribute of the time coord var)
-      istat = nf_put_att_int(ncid,NF_GLOBAL,"initial_mtime",NF_INT,3,
+      istat = nf_put_att_int(ncid,NF_GLOBAL,"initial_mtime",NF_INT,4,
      |  h%initial_mtime)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
@@ -2065,13 +2134,13 @@ subroutine nc_define(ncid)
         call handle_ncerr(istat,char120)
       endif
 !
-! Delta minutes between histories on the file:
-      ivar1(1) = h%delhmins
-      istat = nf_put_att_int(ncid,NF_GLOBAL,"delhist_mins",NF_INT,
+! Delta seconds between histories on the file:
+      ivar1(1) = h%delhsecs
+      istat = nf_put_att_int(ncid,NF_GLOBAL,"delhist_secs",NF_INT,
      |  1,ivar1)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_int ',
-     |    'for delhist_mins global attribute')")
+     |    'for delhist_secs global attribute')")
         call handle_ncerr(istat,char120)
       endif
 !
@@ -2109,7 +2178,7 @@ subroutine nc_define(ncid)
 ! Exit define mode:
       istat = nf_enddef(ncid)
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     +  'Error return from nf_enddef')
+     |  'Error return from nf_enddef')
 !
 ! Give values to coordinate variables:
 !
@@ -2136,13 +2205,24 @@ subroutine nc_define(ncid)
 !
 ! Magnetic:
       istat = nf_put_var_double(ncid,idv_mlon,gmlon)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,
+     |  'Error giving values to gmlon coord var')
       istat = nf_put_var_double(ncid,idv_mlat,gmlat)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,
+     |  'Error giving values to gmlat coord var')
 !
       istat = nf_put_var_double(ncid,idv_mlev,zpmag) 
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error return from nf_put_var_double ',
+     |    ' to assign values to magnetic dimension vars')")
+        call handle_ncerr(istat,char120)
+      endif
       istat = nf_put_var_double(ncid,idv_imlev,zpimag)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_var_double ',
-     +    ' to assign values to magnetic dimension vars')")
+     |    ' to assign values to magnetic dimension vars')")
         call handle_ncerr(istat,char120)
       endif
 
@@ -2288,6 +2368,10 @@ subroutine deflbc(ncid,vname,idv,type)
         write(char80,"('Error defining 2-d var ',a)") trim(vname)
         call handle_ncerr(istat,trim(char80))
       endif
+
+      if (trim(vname)=='gzigm1' .or.
+     |  trim(vname)=='gzigm2' .or.
+     |  trim(vname)=='gnsrhs') return
 !
 ! Long name attribute:
 ! (Variable names ending in '_NM' are at previous time n-1)
@@ -2331,8 +2415,8 @@ subroutine def_fsech(ncid)
 ! Define secondary history fields (geo or mag, 2d+time or 3d+time):
 !
       use fields_module,only: fsechist
-      use hist_module,only: nsech,isecout
-      use input_module,only: secout,sech_nbyte
+      use hist_module,only: nsech
+      use input_module,only: sech_nbyte
       implicit none
 !
 ! Args:
@@ -2476,10 +2560,20 @@ subroutine def_fsech(ncid)
         if (len_trim(fsechist(ix)%long_name) > 0) then
           istat = nf_put_att_text(ncid,idv_fsech(ix),"long_name",
      |    len_trim(fsechist(ix)%long_name),trim(fsechist(ix)%long_name))
+          if (istat /= NF_NOERR) then
+            write(char80,"('def_fsech: Error return from ',
+     |        'nf_put_att_text for long_name var attribute')")
+            call handle_ncerr(istat,char80)
+          endif
         endif
         if (len_trim(fsechist(ix)%units) > 0) then
           istat = nf_put_att_text(ncid,idv_fsech(ix),"units",
      |    len_trim(fsechist(ix)%units),trim(fsechist(ix)%units))
+          if (istat /= NF_NOERR) then
+            write(char80,"('def_fsech: Error return from ',
+     |        'nf_put_att_text for units var attribute')")
+            call handle_ncerr(istat,char80)
+          endif
         endif
 !
 ! Missing value:
@@ -2494,7 +2588,11 @@ subroutine def_fsech(ncid)
 !
 ! End field loop:
       enddo floop ! i=1,mxfsech
-      if (nsech==2) istat = nf_enddef(ncid) ! take out of define mode
+      if (nsech==2) then
+        istat = nf_enddef(ncid) ! take out of define mode
+        if (istat /= NF_NOERR)
+     |    call handle_ncerr(istat,'error from nf_enddef')
+      endif
       end subroutine def_fsech
 !-----------------------------------------------------------------------
       subroutine defvar_f4d(ncid,f,idvar,nbytes)
@@ -2570,6 +2668,12 @@ subroutine defvar_f4d(ncid,f,idvar,nbytes)
 !               was previously known as W:
       if (f%short_name=='OMEGA') then
         istat = nf_put_att_text(ncid,idvar,"former_name",1,"W")
+        if (istat /= NF_NOERR) then
+          write(char80,"('Error defining units of 4-d',
+     |      ' variable ',a,': units = ',a)") trim(f%short_name),
+     |      trim(f%units)
+          call handle_ncerr(istat,trim(char80))
+        endif
       endif
 !
 ! Add missing_value attribute:
@@ -2588,7 +2692,7 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
 ! Write current history structure to open netcdf output file:
 !
       use hist_module,only: sh,h,hist_print
-      use input_module,only: start,secstart,start_year
+      use input_module,only: start_year
       use cons_module,only: crit,rtd
 !
 ! Args:
@@ -2596,14 +2700,10 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       character(len=*),intent(in) :: diskfile
 !
 ! Local:
-      integer :: mins,istat,ivar1(1),i,j,iprog,imo,ida,mtimeinit(4),
-     |  ivar2(2),ii,mfinal
+      integer :: istat,ivar1(1),i,mtimeinit(4),mfinal
       character(len=120) :: char120
       character(len=240) :: char240
-      character(len=80) :: char80
-      integer :: ndims,nvars,ngatts,unlimdimid
-      real :: var1(1),var22(2,2),var2(2),var10(10),rmins,rdays,
-     |  crit1,crit2
+      real :: var2(2),var10(10),rsecs,rdays,crit1,crit2
 !
 ! External:
       integer,external :: strloc
@@ -2613,52 +2713,66 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
 ! h%initial_mtime was set by sub hist_initype (if initial run),
 ! or was read from source history (if continuation run). 
 
-!>>> nc_wrhist: time from initial start must be >= 0: mtimeinit= 365   0   0  
-!    h%modeltime=   1   1   0 delta (mins)=-524100.00
+!>>> nc_wrhist: time from initial start must be >= 0: mtimeinit= 365   0   0   0
+!    h%modeltime=   1   0   0   0 delta (secs)=-31449600
 ! 
-      mtimeinit(1:3) = sh%initial_mtime(1:3) ; mtimeinit(4) = 0
-      rmins = mtime_delta(mtimeinit,h%modeltime)
+      mtimeinit = sh%initial_mtime
+      rsecs = mtime_delta(mtimeinit,h%modeltime)
 
-!     write(6,"('nc_wrhist calc rmins: h%year=',i5,' h%modeltime=',
-!    |  4i4,' sh%year=',i5,' mtimeinit=',4i4,' rmins=',f12.2)") 
-!    |  h%year,h%modeltime,sh%year,mtimeinit,rmins 
+!     write(6,"('nc_wrhist calc rsecs: h%year=',i5,' h%modeltime=',
+!    |  4i4,' sh%year=',i5,' mtimeinit=',4i4,' rsecs=',f12.2)") 
+!    |  h%year,h%modeltime,sh%year,mtimeinit,rsecs 
 
       if (mtimeinit(1) > h%modeltime(1)) then
         mtimeinit(:) = h%modeltime(:)
-        rmins = mtime_delta(mtimeinit,h%modeltime)
+        rsecs = mtime_delta(mtimeinit,h%modeltime)
         write(6,"('nc_wrhist: reset mtimeinit = h%modeltime = ',4i5)")
      |    mtimeinit
       endif
-      rdays = rmins/1440.
+      rdays = rsecs/86400.
       
-      if (rmins < 0.) then
+      if (rsecs < 0.) then
         write(6,"(/,'>>> nc_wrhist: time from initial start must be',
-     |    ' >= 0: mtimeinit=',3i4,'  h%modeltime=',3i4,' delta (mins)=',
-     |    f10.2)") mtimeinit(1:3),h%modeltime(1:3),rmins
+     |    ' >= 0: mtimeinit=',4i4,'  h%modeltime=',4i4,' delta (secs)=',
+     |    f10.2)") mtimeinit,h%modeltime,rsecs
         call shutdown('delta time from init run')
       else
-!       write(6,"('nc_wrhist: mtimeinit=',3i4,' h%modeltime=',3i4,
-!    |    ' delta (mins)=',f10.2,' delta (days)=',f8.2)")
-!    |    mtimeinit(1:3),h%modeltime(1:3),rmins,rdays
+!       write(6,"('nc_wrhist: mtimeinit=',4i4,' h%modeltime=',4i4,
+!    |    ' delta (secs)=',f10.2,' delta (days)=',f8.2)")
+!    |    mtimeinit,h%modeltime,rsecs,rdays
       endif
-      if (idv_time <= 0) istat = nf_inq_varid(ncid,"time",idv_time)
-! 1/29/08 btf: Use minutes rather than days 
-!              (see time units "minutes since.." above)
+      if (idv_time <= 0) then
+        istat = nf_inq_varid(ncid,"time",idv_time)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of time')
+      endif
+      istat = nf_var_par_access(ncid,idv_time,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting time nf_collective')
+! 1/29/08 btf: Use seconds rather than days 
+!              (see time units "seconds since.." above)
 !     istat = nf_put_var1_double(ncid,idv_time,h%ihist,rdays)
-      istat = nf_put_var1_double(ncid,idv_time,h%ihist,rmins)
+      istat = nf_put_var1_double(ncid,idv_time,h%ihist,rsecs)
       if (istat /= NF_NOERR) then
         write(char240,"('Error from nf_put_var1_double defining ',
-     |    'time at h%modeltime=',4i4,' mtimeinit=',3i4,
-     |    ' delta (days)=',f8.2)") h%modeltime,mtimeinit(1:3),rdays
+     |    'time at h%modeltime=',4i4,' mtimeinit=',4i4,
+     |    ' delta (days)=',f8.2)") h%modeltime,mtimeinit,rdays
         call handle_ncerr(istat,char240)
       endif
 !
-! Model time (day,hour,minute):
+! Model time (day,hour,minute,second):
       start_2d(1) = 1
       start_2d(2) = h%ihist
-      count_2d(1) = 3
+      count_2d(1) = 4
       count_2d(2) = 1
-      if (idv_mtime <= 0) istat = nf_inq_varid(ncid,"mtime",idv_mtime)
+      if (idv_mtime <= 0) then
+        istat = nf_inq_varid(ncid,"mtime",idv_mtime)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of mtime')
+      endif
+      istat = nf_var_par_access(ncid,idv_mtime,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting mtime nf_collective')
 !
 ! If model day is > 365, write actual day of year, i.e. day-365
 ! (e.g., if model day is 366, write model day 1 to the history)
@@ -2678,16 +2792,23 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       endif
 !
       istat = nf_put_vara_int(ncid,idv_mtime,start_2d,count_2d,
-     |  h%modeltime(1:3))
+     |  h%modeltime)
       if (istat /= NF_NOERR) then
         write(char120,"('Error defining mtime at h%ihist=',i2,
-     +    ' h%modeltime=',4i4,' istat=',i5)") h%ihist,h%modeltime,istat
+     |    ' h%modeltime=',4i4,' istat=',i5)") h%ihist,h%modeltime,istat
         call handle_ncerr(istat,char120)
       endif
 !
 ! Calendar year (initially from input, then updated if model is
 ! advancing calendar time):
-      if (idv_year <= 0) istat = nf_inq_varid(ncid,"year",idv_year)
+      if (idv_year <= 0) then
+        istat = nf_inq_varid(ncid,"year",idv_year)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of year')
+      endif
+      istat = nf_var_par_access(ncid,idv_year,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting year nf_collective')
       istat = nf_put_var1_int(ncid,idv_year,h%ihist,h%year)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
@@ -2698,7 +2819,14 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
 !
 ! Calendar day (initially from input, then updated if model is
 ! advancing calendar time):
-      if (idv_day <= 0) istat = nf_inq_varid(ncid,"day",idv_day)
+      if (idv_day <= 0) then
+        istat = nf_inq_varid(ncid,"day",idv_day)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of day')
+      endif
+      istat = nf_var_par_access(ncid,idv_day,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting day nf_collective')
       istat = nf_put_var1_int(ncid,idv_day,h%ihist,h%day)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
@@ -2708,8 +2836,15 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       endif
 !
 ! Calendar advance:
-      if (idv_calendar_adv <= 0) 
-     |  istat = nf_inq_varid(ncid,"calendar_advance",idv_calendar_adv)
+      if (idv_calendar_adv <= 0) then
+        istat = nf_inq_varid(ncid,"calendar_advance",idv_calendar_adv)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of calendar_advance')
+      endif
+      istat = nf_var_par_access(ncid,idv_calendar_adv,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access '//
+     |  'setting calendar_advance nf_collective')
       istat = nf_put_var1_int(ncid,idv_calendar_adv,h%ihist,
      |  h%calendar_advance)
       if (istat /= NF_NOERR) then
@@ -2720,8 +2855,14 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       endif
 !
 ! Date and time history was written:
-      if (idv_writedate <= 0) istat = nf_inq_varid(ncid,"write_date",
-     |  idv_writedate)
+      if (idv_writedate <= 0) then
+        istat = nf_inq_varid(ncid,"write_date",idv_writedate)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of write_date')
+      endif
+      istat = nf_var_par_access(ncid,idv_writedate,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting write_date nf_collective')
       start_2d(1) = 1
       start_2d(2) = h%ihist
       count_2d(1) = len(h%write_date) 
@@ -2734,18 +2875,31 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
         call handle_ncerr(istat,char120)
       endif
 !
-! Iteration number (number of steps from 0,0,0 to current mtime):
-      if (idv_iter <= 0) istat = nf_inq_varid(ncid,"iter",idv_iter)
+! Iteration number (number of steps from 0,0,0,0 to current mtime):
+      if (idv_iter <= 0) then
+        istat = nf_inq_varid(ncid,"iter",idv_iter)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of iter')
+      endif
+      istat = nf_var_par_access(ncid,idv_iter,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting iter nf_collective')
       istat = nf_put_var1_int(ncid,idv_iter,h%ihist,h%iter)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
-     +    'iter at h%ihist=',i3,': h%iter=',i8)") h%ihist,h%iter
+     |    'iter at h%ihist=',i3,': h%iter=',i8)") h%ihist,h%iter
         call handle_ncerr(istat,char120)
       endif
 !
 ! Number of mpi tasks:
-      if (idv_ntask <= 0) istat = nf_inq_varid(ncid,"ntask_mpi",
-     |  idv_ntask)
+      if (idv_ntask <= 0) then
+        istat = nf_inq_varid(ncid,"ntask_mpi",idv_ntask)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of ntask_mpi')
+      endif
+      istat = nf_var_par_access(ncid,idv_ntask,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting ntask_mpi nf_collective')
       istat = nf_put_var1_int(ncid,idv_ntask,h%ihist,h%ntask_mpi)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
@@ -2754,21 +2908,40 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
         call handle_ncerr(istat,char120)
       endif
 !
-! If coupled with CISM/CMIT:
-      if (idv_coupled_cmit <= 0) istat = nf_inq_varid(ncid,
-     |  "coupled_cmit",idv_coupled_cmit)
-      istat = nf_put_var1_int(ncid,idv_coupled_cmit,h%ihist,
-     |  h%coupled_cmit)
+! If coupled with MAGE:
+      if (idv_coupled_mage <= 0) then
+        istat = nf_inq_varid(ncid,"coupled_mage",idv_coupled_mage)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of coupled_mage')
+      endif
+      istat = nf_var_par_access(ncid,idv_coupled_mage,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access '//
+     |  'setting coupled_mage nf_collective')
+      istat = nf_put_var1_int(ncid,idv_coupled_mage,h%ihist,
+     |  h%coupled_mage)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
-     |    'coupled_cmit at h%ihist=',i3,': h%coupled_cmit=',i8)") 
-     |    h%ihist,h%coupled_cmit
+     |    'coupled_mage at h%ihist=',i3,': h%coupled_mage=',i8)") 
+     |    h%ihist,h%coupled_mage
         call handle_ncerr(istat,char120)
       endif
 !
 ! Universal time (decimal hours):
-      if (idv_ut <= 0) istat = nf_inq_varid(ncid,"ut",idv_ut)
+      if (idv_ut <= 0) then
+        istat = nf_inq_varid(ncid,"ut",idv_ut)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of ut')
+      endif
+      istat = nf_var_par_access(ncid,idv_ut,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting ut nf_collective')
       istat = nf_put_var1_double(ncid,idv_ut,h%ihist,h%ut)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'ut at h%ihist=',i3,': h%ut=',i8)") h%ihist,h%ut
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! 1/31/01: tides are now time dependent 2d vars:
 ! Diurnal tide (dtide(time,2):
@@ -2776,20 +2949,43 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       start_2d(2) = h%ihist
       count_2d(1) = 2
       count_2d(2) = 1
-      if (idv_dtide <= 0) istat = nf_inq_varid(ncid,"dtide",idv_dtide)
+      if (idv_dtide <= 0) then
+        istat = nf_inq_varid(ncid,"dtide",idv_dtide)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of dtide')
+      endif
+      istat = nf_var_par_access(ncid,idv_dtide,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting dtide nf_collective')
       var2(:) = h%dtide(:)
       istat = nf_put_vara_double(ncid,idv_dtide,start_2d,count_2d,var2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_vara_double defining ',
+     |    'dtide at h%ihist=',i3,': h%dtide=',i8)") h%ihist,h%dtide
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Semi-diurnal tide (sdtide(time,10):
       start_2d(1) = 1
       start_2d(2) = h%ihist
       count_2d(1) = 10
       count_2d(2) = 1
-      if (idv_sdtide <= 0) istat = nf_inq_varid(ncid,"sdtide",
-     |  idv_sdtide)
+      if (idv_sdtide <= 0) then
+        istat = nf_inq_varid(ncid,"sdtide",idv_sdtide)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of sdtide')
+      endif
+      istat = nf_var_par_access(ncid,idv_sdtide,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting sdtide nf_collective')
       var10(:) = h%sdtide(:)
       istat = nf_put_vara_double(ncid,idv_sdtide,start_2d,count_2d,
      |  var10)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_vara_double defining ',
+     |    'sdtide at h%ihist=',i3,': h%sdtide=',i8)") h%ihist,h%sdtide
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Update gpi_ncfile:
       call update_ncfile(ncid,"gpi_ncfile",h%gpi_ncfile,idv_gpi_ncfile,
@@ -2833,136 +3029,492 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
       call update_ncfile(ncid,"ctmt_ncfile",h%ctmt_ncfile,
      |  idv_ctmt_ncfile,h%ihist)
 !
-! Update amienh_ncfile:
-      call update_ncfile(ncid,"amienh_ncfile",h%amienh_ncfile,
-     |  idv_amienh_ncfile,h%ihist)
-! Update amiesh_ncfile:
-      call update_ncfile(ncid,"amiesh_ncfile",h%amiesh_ncfile,
-     |  idv_amiesh_ncfile,h%ihist)
-     
-!
 ! f107d and f107a (daily and average solar fluxes):
-      if (idv_f107d <= 0) istat = nf_inq_varid(ncid,"f107d",
-     |  idv_f107d)
+      if (idv_f107d <= 0) then
+        istat = nf_inq_varid(ncid,"f107d",idv_f107d)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of f107d')
+      endif
+      istat = nf_var_par_access(ncid,idv_f107d,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting f107d nf_collective')
       istat = nf_put_var1_double(ncid,idv_f107d,h%ihist,h%f107d)
-      if (idv_f107a <= 0) istat = nf_inq_varid(ncid,"f107a",
-     |  idv_f107a)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'f107d at h%ihist=',i3,': h%f107d=',i8)") h%ihist,h%f107d
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_f107a <= 0) then
+        istat = nf_inq_varid(ncid,"f107a",idv_f107a)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of f107a')
+      endif
+      istat = nf_var_par_access(ncid,idv_f107a,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting f107a nf_collective')
       istat = nf_put_var1_double(ncid,idv_f107a,h%ihist,h%f107a)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'f107a at h%ihist=',i3,': h%f107a=',i8)") h%ihist,h%f107a
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Hemispheric power:
-      if (idv_hpower <= 0) istat = nf_inq_varid(ncid,"hpower",
-     |  idv_hpower)
+      if (idv_hpower <= 0) then
+        istat = nf_inq_varid(ncid,"hpower",idv_hpower)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of hpower')
+      endif
+      istat = nf_var_par_access(ncid,idv_hpower,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting hpower nf_collective')
       istat = nf_put_var1_double(ncid,idv_hpower,h%ihist,h%hpower)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'hpower at h%ihist=',i3,': h%hpower=',i8)") h%ihist,h%hpower
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Cross-tail potential:
-      if (idv_ctpoten <= 0) istat = nf_inq_varid(ncid,"ctpoten",
-     |  idv_ctpoten)
+      if (idv_ctpoten <= 0) then
+        istat = nf_inq_varid(ncid,"ctpoten",idv_ctpoten)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of ctpoten')
+      endif
+      istat = nf_var_par_access(ncid,idv_ctpoten,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting ctpoten nf_collective')
       istat = nf_put_var1_double(ncid,idv_ctpoten,h%ihist,h%ctpoten)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'ctpoten at h%ihist=',i3,': h%ctpoten=',i8)")
+     |    h%ihist,h%ctpoten
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Kp index:
-      if (idv_kp <= 0) istat = nf_inq_varid(ncid,"Kp",idv_kp)
+      if (idv_kp <= 0) then
+        istat = nf_inq_varid(ncid,"Kp",idv_kp)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of Kp')
+      endif
+      istat = nf_var_par_access(ncid,idv_kp,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting Kp nf_collective')
       istat = nf_put_var1_double(ncid,idv_kp,h%ihist,h%kp)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'Kp at h%ihist=',i3,': h%kp=',i8)") h%ihist,h%kp
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! BX,BY,BZ imf:
-      if (idv_bximf <= 0) istat = nf_inq_varid(ncid,"bximf",idv_bximf)
+      if (idv_bximf <= 0) then
+        istat = nf_inq_varid(ncid,"bximf",idv_bximf)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of bximf')
+      endif
+      istat = nf_var_par_access(ncid,idv_bximf,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting bximf nf_collective')
       istat = nf_put_var1_double(ncid,idv_bximf,h%ihist,h%bximf)
-      if (idv_byimf <= 0) istat = nf_inq_varid(ncid,"byimf",idv_byimf)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'bximf at h%ihist=',i3,': h%bximf=',i8)") h%ihist,h%bximf
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_byimf <= 0) then
+        istat = nf_inq_varid(ncid,"byimf",idv_byimf)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of byimf')
+      endif
+      istat = nf_var_par_access(ncid,idv_byimf,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting byimf nf_collective')
       istat = nf_put_var1_double(ncid,idv_byimf,h%ihist,h%byimf)
-      if (idv_bzimf <= 0) istat = nf_inq_varid(ncid,"bzimf",idv_bzimf)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'byimf at h%ihist=',i3,': h%byimf=',i8)") h%ihist,h%byimf
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_bzimf <= 0) then
+        istat = nf_inq_varid(ncid,"bzimf",idv_bzimf)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of bzimf')
+      endif
+      istat = nf_var_par_access(ncid,idv_bzimf,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting bzimf nf_collective')
       istat = nf_put_var1_double(ncid,idv_bzimf,h%ihist,h%bzimf)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'bzimf at h%ihist=',i3,': h%bzimf=',i8)") h%ihist,h%bzimf
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! swvel,swden:
-      if (idv_swvel <= 0) istat = nf_inq_varid(ncid,"swvel",idv_swvel)
+      if (idv_swvel <= 0) then
+        istat = nf_inq_varid(ncid,"swvel",idv_swvel)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of swvel')
+      endif
+      istat = nf_var_par_access(ncid,idv_swvel,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting swvel nf_collective')
       istat = nf_put_var1_double(ncid,idv_swvel,h%ihist,h%swvel)
-      if (idv_swden <= 0) istat = nf_inq_varid(ncid,"swden",idv_swden)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'swvel at h%ihist=',i3,': h%swvel=',i8)") h%ihist,h%swvel
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_swden <= 0) then
+        istat = nf_inq_varid(ncid,"swden",idv_swden)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of swden')
+      endif
+      istat = nf_var_par_access(ncid,idv_swden,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting swden nf_collective')
       istat = nf_put_var1_double(ncid,idv_swden,h%ihist,h%swden)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'swden at h%ihist=',i3,': h%swden=',i8)") h%ihist,h%swden
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! al:
-      if (idv_al <= 0) istat = nf_inq_varid(ncid,"swden",idv_al)
+      if (idv_al <= 0) then
+        istat = nf_inq_varid(ncid,"al",idv_al)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of al')
+      endif
+      istat = nf_var_par_access(ncid,idv_al,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting al nf_collective')
       istat = nf_put_var1_double(ncid,idv_al,h%ihist,h%al)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'al at h%ihist=',i3,': h%al=',i8)") h%ihist,h%al
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Collision factor:
-      if (idv_colfac <= 0) istat = nf_inq_varid(ncid,"colfac",
-     |  idv_colfac)
+      if (idv_colfac <= 0) then
+        istat = nf_inq_varid(ncid,"colfac",idv_colfac)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of colfac')
+      endif
+      istat = nf_var_par_access(ncid,idv_colfac,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting colfac nf_collective')
       istat = nf_put_var1_double(ncid,idv_colfac,h%ihist,h%colfac)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'colfac at h%ihist=',i3,': h%colfac=',i8)") h%ihist,h%colfac
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Joule heating factor:
-      if (idv_joulefac <= 0) istat = nf_inq_varid(ncid,"joulefac",
-     |  idv_joulefac)
+      if (idv_joulefac <= 0) then
+        istat = nf_inq_varid(ncid,"joulefac",idv_joulefac)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of joulefac')
+      endif
+      istat = nf_var_par_access(ncid,idv_joulefac,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting joulefac nf_collective')
       istat = nf_put_var1_double(ncid,idv_joulefac,h%ihist,h%joulefac)
- 
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'joulefac at h%ihist=',i3,': h%joulefac=',i8)")
+     |    h%ihist,h%joulefac
+        call handle_ncerr(istat,char120)
+      endif
+!
 ! alfa30:
-!     if (idv_alfa30 <= 0) istat = nf_inq_varid(ncid,"alfa30",
-!    |  idv_alfa30)
+!     if (idv_alfa30 <= 0) then
+!       istat = nf_inq_varid(ncid,"alfa30",idv_alfa30)
+!       if (istat /= NF_NOERR) call handle_ncerr(istat,
+!    |    'Error from nf_inq_varid getting var id of alfa30')
+!     endif
+!     istat = nf_var_par_access(ncid,idv_alfa30,nf_collective)
+!     if (istat /= NF_NOERR) call handle_ncerr(istat,
+!     |  'Error from nf_var_par_access setting alfa30 nf_collective')
 !     istat = nf_put_var1_double(ncid,idv_alfa30,h%ihist,h%alfa30)
+!     if (istat /= NF_NOERR) then
+!       write(char120,"('Error from nf_put_var1_double defining ',
+!    |    'alfa30 at h%ihist=',i3,': h%alfa30=',i8)") h%ihist,h%alfa30
+!       call handle_ncerr(istat,char120)
+!     endif
 !
 ! e30:
-!     if (idv_e30 <= 0) istat = nf_inq_varid(ncid,"e30",idv_e30)
+!     if (idv_e30 <= 0) then
+!       istat = nf_inq_varid(ncid,"e30",idv_e30)
+!       if (istat /= NF_NOERR) call handle_ncerr(istat,
+!    |    'Error from nf_inq_varid getting var id of e30')
+!     endif
+!     istat = nf_var_par_access(ncid,idv_e30,nf_collective)
+!     if (istat /= NF_NOERR) call handle_ncerr(istat,
+!     |  'Error from nf_var_par_access setting e30 nf_collective')
 !     istat = nf_put_var1_double(ncid,idv_e30,h%ihist,h%e30)
+!     if (istat /= NF_NOERR) then
+!       write(char120,"('Error from nf_put_var1_double defining ',
+!    |    'e30 at h%ihist=',i3,': h%e30=',i8)") h%ihist,h%e30
+!       call handle_ncerr(istat,char120)
+!     endif
 !
 ! alfad2:
-!     if (idv_alfad2 <= 0) istat = nf_inq_varid(ncid,"alfad2",
-!    |  idv_alfad2)
+!     if (idv_alfad2 <= 0) then
+!       istat = nf_inq_varid(ncid,"alfad2",idv_alfad2)
+!       if (istat /= NF_NOERR) call handle_ncerr(istat,
+!    |    'Error from nf_inq_varid getting var id of alfad2')
+!     endif
+!     istat = nf_var_par_access(ncid,idv_alfad2,nf_collective)
+!     if (istat /= NF_NOERR) call handle_ncerr(istat,
+!     |  'Error from nf_var_par_access setting alfad2 nf_collective')
 !     istat = nf_put_var1_double(ncid,idv_alfad2,h%ihist,h%alfad2)
+!     if (istat /= NF_NOERR) then
+!       write(char120,"('Error from nf_put_var1_double defining ',
+!    |    'alfad2 at h%ihist=',i3,': h%alfad2=',i8)") h%ihist,h%alfad2
+!       call handle_ncerr(istat,char120)
+!     endif
 !
 ! ed2:
-!     if (idv_ed2 <= 0) istat = nf_inq_varid(ncid,"ed2",idv_ed2)
+!     if (idv_ed2 <= 0) then
+!       istat = nf_inq_varid(ncid,"ed2",idv_ed2)
+!       if (istat /= NF_NOERR) call handle_ncerr(istat,
+!    |    'Error from nf_inq_varid getting var id of ed2')
+!     endif
+!     istat = nf_var_par_access(ncid,idv_ed2,nf_collective)
+!     if (istat /= NF_NOERR) call handle_ncerr(istat,
+!     |  'Error from nf_var_par_access setting ed2 nf_collective')
 !     istat = nf_put_var1_double(ncid,idv_ed2,h%ihist,h%ed2)
+!     if (istat /= NF_NOERR) then
+!       write(char120,"('Error from nf_put_var1_double defining ',
+!    |    'ed2 at h%ihist=',i3,': h%ed2=',i8)") h%ihist,h%ed2
+!       call handle_ncerr(istat,char120)
+!     endif
 
 ! e1,e2:
-      if (idv_e1 <= 0) istat = nf_inq_varid(ncid,"e1",idv_e1)
+      if (idv_e1 <= 0) then
+        istat = nf_inq_varid(ncid,"e1",idv_e1)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of e1')
+      endif
+      istat = nf_var_par_access(ncid,idv_e1,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting e1 nf_collective')
       istat = nf_put_var1_double(ncid,idv_e1,h%ihist,h%e1)
-      if (idv_e2 <= 0) istat = nf_inq_varid(ncid,"e2",idv_e2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'e1 at h%ihist=',i3,': h%e1=',i8)") h%ihist,h%e1
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_e2 <= 0) then
+        istat = nf_inq_varid(ncid,"e2",idv_e2)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of e2')
+      endif
+      istat = nf_var_par_access(ncid,idv_e2,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting e2 nf_collective')
       istat = nf_put_var1_double(ncid,idv_e2,h%ihist,h%e2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'e2 at h%ihist=',i3,': h%e2=',i8)") h%ihist,h%e2
+        call handle_ncerr(istat,char120)
+      endif
+!
 ! h1,h2:
-      if (idv_h1 <= 0) istat = nf_inq_varid(ncid,"h1",idv_h1)
+      if (idv_h1 <= 0) then
+        istat = nf_inq_varid(ncid,"h1",idv_h1)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of h1')
+      endif
+      istat = nf_var_par_access(ncid,idv_h1,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting h1 nf_collective')
       istat = nf_put_var1_double(ncid,idv_h1,h%ihist,h%h1)
-      if (idv_h2 <= 0) istat = nf_inq_varid(ncid,"h2",idv_h2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'h1 at h%ihist=',i3,': h%h1=',i8)") h%ihist,h%h1
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_h2 <= 0) then
+        istat = nf_inq_varid(ncid,"h2",idv_h2)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of h2')
+      endif
+      istat = nf_var_par_access(ncid,idv_h2,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting h2 nf_collective')
       istat = nf_put_var1_double(ncid,idv_h2,h%ihist,h%h2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'h2 at h%ihist=',i3,': h%h2=',i8)") h%ihist,h%h2
+        call handle_ncerr(istat,char120)
+      endif
+!
 ! alfac,ec:
-      if (idv_alfac <= 0) istat = nf_inq_varid(ncid,"alfac",idv_alfac)
+      if (idv_alfac <= 0) then
+        istat = nf_inq_varid(ncid,"alfac",idv_alfac)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of alfac')
+      endif
+      istat = nf_var_par_access(ncid,idv_alfac,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting alfac nf_collective')
       istat = nf_put_var1_double(ncid,idv_alfac,h%ihist,h%alfac)
-      if (idv_ec <= 0) istat = nf_inq_varid(ncid,"ec",idv_ec)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'alfac at h%ihist=',i3,': h%alfac=',i8)") h%ihist,h%alfac
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_ec <= 0) then
+        istat = nf_inq_varid(ncid,"ec",idv_ec)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of ec')
+      endif
+      istat = nf_var_par_access(ncid,idv_ec,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting ec nf_collective')
       istat = nf_put_var1_double(ncid,idv_ec,h%ihist,h%ec)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'ec at h%ihist=',i3,': h%ec=',i8)") h%ihist,h%ec
+        call handle_ncerr(istat,char120)
+      endif
+!
 ! alfad,ed:
-      if (idv_alfad <= 0) istat = nf_inq_varid(ncid,"alfad",idv_alfad)
+      if (idv_alfad <= 0) then
+        istat = nf_inq_varid(ncid,"alfad",idv_alfad)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of alfad')
+      endif
+      istat = nf_var_par_access(ncid,idv_alfad,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting alfad nf_collective')
       istat = nf_put_var1_double(ncid,idv_alfad,h%ihist,h%alfad)
-      if (idv_ed <= 0) istat = nf_inq_varid(ncid,"ed",idv_ed)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'alfad at h%ihist=',i3,': h%alfad=',i8)") h%ihist,h%alfad
+        call handle_ncerr(istat,char120)
+      endif
+!
+      if (idv_ed <= 0) then
+        istat = nf_inq_varid(ncid,"ed",idv_ed)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of ec')
+      endif
+      istat = nf_var_par_access(ncid,idv_ed,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting ed nf_collective')
       istat = nf_put_var1_double(ncid,idv_ed,h%ihist,h%ed)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'ed at h%ihist=',i3,': h%ed=',i8)") h%ihist,h%ed
+        call handle_ncerr(istat,char120)
+      endif
+!
 ! crit1,2:
       crit1 = crit(1)*rtd
-      if (idv_crit1 <= 0) istat = nf_inq_varid(ncid,"crit1",idv_crit1)
+      if (idv_crit1 <= 0) then
+        istat = nf_inq_varid(ncid,"crit1",idv_crit1)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of crit1')
+      endif
+      istat = nf_var_par_access(ncid,idv_crit1,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting crit1 nf_collective')
       istat = nf_put_var1_double(ncid,idv_crit1,h%ihist,crit1)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'crit1 at h%ihist=',i3,': h%crit1=',i8)") h%ihist,crit1
+        call handle_ncerr(istat,char120)
+      endif
+!
       crit2 = crit(2)*rtd
-      if (idv_crit2 <= 0) istat = nf_inq_varid(ncid,"crit2",idv_crit2)
+      if (idv_crit2 <= 0) then
+        istat = nf_inq_varid(ncid,"crit2",idv_crit2)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of crit1')
+      endif
+      istat = nf_var_par_access(ncid,idv_crit2,nf_collective)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'Error from nf_var_par_access setting crit2 nf_collective')
       istat = nf_put_var1_double(ncid,idv_crit2,h%ihist,crit2)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'crit2 at h%ihist=',i3,': h%crit2=',i8)") h%ihist,crit2
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Reference pressure used to convert ln(p0/p) to pressure (hPa):
 ! (h%p0 was set in sub define_hist, output.F)
-      if (idv_p0 <= 0) istat = nf_inq_varid(ncid,"p0",idv_p0)
+      if (idv_p0 <= 0) then
+        istat = nf_inq_varid(ncid,"p0",idv_p0)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of p0')
+      endif
       istat = nf_put_var1_double(ncid,idv_p0,h%ihist,h%p0)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'p0 at h%ihist=',i3,': h%p0=',i8)") h%ihist,h%p0
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Reference pressure used by the model (microbars):
 ! (h%p0_model was set in sub define_hist, output.F)
-      if (idv_p0_model <= 0) istat = nf_inq_varid(ncid,"p0_model",
-     |  idv_p0_model)
+      if (idv_p0_model <= 0) then
+        istat = nf_inq_varid(ncid,"p0_model",idv_p0_model)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of p0_model')
+      endif
       istat = nf_put_var1_double(ncid,idv_p0_model,h%ihist,h%p0_model)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'p0_model at h%ihist=',i3,': h%p0_model=',i8)")
+     |    h%ihist,h%p0_model
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Gravitational constant used in the model:
-      if (idv_grav <= 0) istat = nf_inq_varid(ncid,"grav",idv_grav)
+      if (idv_grav <= 0) then
+        istat = nf_inq_varid(ncid,"grav",idv_grav)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of grav')
+      endif
       istat = nf_put_var1_double(ncid,idv_grav,h%ihist,h%grav)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_put_var1_double defining ',
+     |    'grav at h%ihist=',i3,': h%grav=',i8)") h%ihist,h%grav
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Timestep (seconds):
-      if (idv_step <= 0) istat = nf_inq_varid(ncid,"timestep",idv_step)
+      if (idv_step <= 0) then
+        istat = nf_inq_varid(ncid,"timestep",idv_step)
+        if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |    'Error from nf_inq_varid getting var id of timestep')
+      endif
       istat = nf_put_var1_int(ncid,idv_step,h%ihist,h%step)
       if (istat /= NF_NOERR) then
         write(char120,"('Error from nf_put_var1_int defining ',
-     +    'ut at h%ihist=',i3,': h%step=',i4)") h%ihist,h%step
+     |    'ut at h%ihist=',i3,': h%step=',i4)") h%ihist,h%step
         call handle_ncerr(istat,char120)
       endif
 !
 ! Update run_type (initial or continuation):
       istat = nf_redef(ncid) ! put dataset in define mode
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'Error from nf_redef')
 
       istat = nf_put_att_text(ncid,NF_GLOBAL,"run_type",
      |  len_trim(h%run_type),trim(h%run_type))
@@ -2986,24 +3538,26 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
      |    'for source_file global attribute')")
         call handle_ncerr(istat,char120)
       endif
-      istat = nf_put_att_int(ncid,NF_GLOBAL,"source_mtime",NF_INT,3,
+      istat = nf_put_att_int(ncid,NF_GLOBAL,"source_mtime",NF_INT,4,
      |  h%source_mtime)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_text ',
      |    'for source_mtime global attribute')")
         call handle_ncerr(istat,char120)
       endif
-
-      istat = nf_enddef(ncid) ! take out of define mode
 !
 ! Update number of histories on the file (global attribute):
       ivar1(1) = h%ihist
       istat = nf_put_att_int(ncid,NF_GLOBAL,"nhist",NF_INT,1,ivar1)
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_att_int ',
-     +    'for nhist global attribute')")
+     |    'for nhist global attribute')")
         call handle_ncerr(istat,char120)
       endif
+!
+      istat = nf_enddef(ncid) ! take out of define mode
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'Error from nf_enddef')
 !
 ! Add fields data to primary history:
 ! Currently (2/00), only prognostic fields are written to the
@@ -3011,6 +3565,7 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
 !
       idv_tlbc = 0 ; idv_ulbc = 0 ; idv_vlbc = 0          ! forces wrlbc to inquire
       idv_tlbc_nm = 0 ; idv_ulbc_nm = 0 ; idv_vlbc_nm = 0 ! forces wrlbc to inquire
+      idv_gzigm1 = 0 ; idv_gzigm2 = 0 ; idv_gnsrhs = 0
       if (h%hist_type(1:3)=='pri') then
         do i=1,nf4d_hist
           call wrf4d(ncid,f4d(i)%short_name,h%ihist,fakeflds,i)
@@ -3018,33 +3573,36 @@ subroutine nc_wrhist(ncid,diskfile,iprint)
 ! Write ZG after Z (zg was calculated by sub calczg in addiag.F,
 ! then gathered to fzg by mp_gather2root_f3d):
 ! 3/1/06 btf: do not write ZG to primary histories.
-!         if (trim(f4d(i)%short_name)=='Z')
-!    |      call wrf3d(ncid,fzg,h%ihist,'ZG',idv_zg)
         enddo ! i=1,nf4d_hist
 !
 ! Update t,u,v lbc to primary history: 
-! Global arrays t,u,vlbc_glb were gathered from subdomains for history 
-!   output by sub mp_gather2root_lbc (mpi.F).
 !
-        call wrlbc(ncid,"TLBC",tlbc_glb,h%ihist,idv_tlbc,'pri')
-        call wrlbc(ncid,"ULBC",ulbc_glb,h%ihist,idv_ulbc,'pri')
-        call wrlbc(ncid,"VLBC",vlbc_glb,h%ihist,idv_vlbc,'pri')
+        call wrlbc(ncid,"TLBC",tlbc,h%ihist,idv_tlbc,'pri')
+        call wrlbc(ncid,"ULBC",ulbc,h%ihist,idv_ulbc,'pri')
+        call wrlbc(ncid,"VLBC",vlbc,h%ihist,idv_vlbc,'pri')
 !
-        call wrlbc(ncid,"TLBC_NM",tlbc_nm_glb,h%ihist,idv_tlbc_nm,'pri')
-        call wrlbc(ncid,"ULBC_NM",ulbc_nm_glb,h%ihist,idv_ulbc_nm,'pri')
-        call wrlbc(ncid,"VLBC_NM",vlbc_nm_glb,h%ihist,idv_vlbc_nm,'pri')
+        call wrlbc(ncid,"TLBC_NM",tlbc_nm,h%ihist,idv_tlbc_nm,'pri')
+        call wrlbc(ncid,"ULBC_NM",ulbc_nm,h%ihist,idv_ulbc_nm,'pri')
+        call wrlbc(ncid,"VLBC_NM",vlbc_nm,h%ihist,idv_vlbc_nm,'pri')
+!
+        call wrlbc(ncid,"gzigm1",gzigm1,h%ihist,idv_gzigm1,'pri')
+        call wrlbc(ncid,"gzigm2",gzigm2,h%ihist,idv_gzigm2,'pri')
+        call wrlbc(ncid,"gnsrhs",gnsrhs,h%ihist,idv_gnsrhs,'pri')
 !
 ! Add fields data to secondary history:
       elseif (h%hist_type(1:3)=='sec') then
         call wrfsech(ncid,h%ihist) ! write secondary prog and diag fields
 !
 ! Update t,u,v lbc to secondary history:
-        call wrlbc(ncid,"TLBC",tlbc_glb,h%ihist,idv_tlbc,'sec')
-        call wrlbc(ncid,"ULBC",ulbc_glb,h%ihist,idv_ulbc,'sec')
-        call wrlbc(ncid,"VLBC",vlbc_glb,h%ihist,idv_vlbc,'sec')
-        call wrlbc(ncid,"TLBC_NM",tlbc_nm_glb,h%ihist,idv_tlbc_nm,'sec')
-        call wrlbc(ncid,"ULBC_NM",ulbc_nm_glb,h%ihist,idv_ulbc_nm,'sec')
-        call wrlbc(ncid,"VLBC_NM",vlbc_nm_glb,h%ihist,idv_vlbc_nm,'sec')
+        call wrlbc(ncid,"TLBC",tlbc,h%ihist,idv_tlbc,'sec')
+        call wrlbc(ncid,"ULBC",ulbc,h%ihist,idv_ulbc,'sec')
+        call wrlbc(ncid,"VLBC",vlbc,h%ihist,idv_vlbc,'sec')
+        call wrlbc(ncid,"TLBC_NM",tlbc_nm,h%ihist,idv_tlbc_nm,'sec')
+        call wrlbc(ncid,"ULBC_NM",ulbc_nm,h%ihist,idv_ulbc_nm,'sec')
+        call wrlbc(ncid,"VLBC_NM",vlbc_nm,h%ihist,idv_vlbc_nm,'sec')
+        call wrlbc(ncid,"gzigm1",gzigm1,h%ihist,idv_gzigm1,'sec')
+        call wrlbc(ncid,"gzigm2",gzigm2,h%ihist,idv_gzigm2,'sec')
+        call wrlbc(ncid,"gnsrhs",gnsrhs,h%ihist,idv_gnsrhs,'sec')
       else
         write(6,"(/,'>>> WARNING nc_wrhist: unknown h%hist_type=',a)") 
      |    h%hist_type
@@ -3059,24 +3617,29 @@ subroutine wrfsech(ncid,itime)
 !
 ! Write data values of secondary history fields to ncfile.
 ! (fields were defined on the file by def_fsech)
-! Data was gathered to root task by mp_gather2root_sechist (nchist.F)
 !
-      use fields_module,only: fsechist,shortname_len
-      use hist_module,only: nsech,h
+      use fields_module,only: fsechist
+      use hist_module,only: h
+      use mpi_module,only: lon0,lon1,lat0,lat1,mlon0,mlon1,mlat0,mlat1
       implicit none
 !
 ! Args:
       integer,intent(in) :: ncid,itime
 !
 ! Local:
-      integer :: ix,iprog,istat,idvar,iddims(4),itype,ndims,natts,i
+      integer :: lonbeg,lonend,ix,iprog,istat,idvar
       character(len=80) :: char80
       real,allocatable :: f2d(:,:),f3d(:,:,:)
 !
 ! External:
       integer,external :: strloc
 !
-!     write(6,"('Enter wrfsech: nsech=',i3,' itime=',i3)") nsech,itime
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+!
+!     write(6,"('Enter wrfsech: itime=',i3)") itime
       floop: do ix=1,mxfsech
         if (len_trim(fsechist(ix)%short_name)==0) cycle floop
 !
@@ -3114,31 +3677,38 @@ subroutine wrfsech(ncid,itime)
      |      trim(fsechist(ix)%short_name)
           call handle_ncerr(istat,char80)
         endif
+        istat = nf_var_par_access(ncid,idvar,nf_collective)
+        if (istat /= NF_NOERR) then
+          write(char80,"('wrfsech: Error setting ',a,' nf_collective')")
+     |      trim(fsechist(ix)%short_name)
+          call handle_ncerr(istat,char80)
+        endif
 !
 ! 3d+time field:
         if (fsechist(ix)%dimsizes(3) > 0) then
 !
-! Allocate and transfer to local 3d output array:
-          allocate(f3d(fsechist(ix)%dimsizes(1),
-     |                 fsechist(ix)%dimsizes(2),
-     |                 fsechist(ix)%dimsizes(3)),stat=istat)
-          if (istat /= 0) then
-            write(6,"(/,'>>> wrfsech: Error allocating f3d: ',
-     |        'dimsizes=',3i4)") fsechist(ix)%dimsizes
-            call shutdown('wrfsech')
-          endif
-          f3d = fsechist(ix)%data
-!
-! Write values for 3d+time var (lon,lat,lev,time)
-          start_4d(1:3) = 1
-          start_4d(4) = itime
-          count_4d(2:3) = fsechist(ix)%dimsizes(2:3)
-          count_4d(4) = 1
-!
 ! Write 3d+time geo field:
 ! (write only 3:nlonp2 to exclude periodic points):
           if (fsechist(ix)%geo) then    ! 3d geo
-            count_4d(1) = nlon
+!
+! Allocate and transfer to local 3d output array:
+            allocate(f3d(lon0:lon1,lat0:lat1,nlevp1),stat=istat)
+            if (istat /= 0) then
+              write(6,"(/,'>>> wrfsech: Error allocating f3d: ',
+     |          'dimsizes=',3i4)") fsechist(ix)%dimsizes
+              call shutdown('wrfsech')
+            endif
+            f3d = fsechist(ix)%data
+!
+! Write values for 3d+time var (lon,lat,lev,time)
+            start_4d(1) = lonbeg-2
+            start_4d(2) = lat0
+            start_4d(3) = 1
+            start_4d(4) = itime
+            count_4d(1) = lonend-lonbeg+1
+            count_4d(2) = lat1-lat0+1
+            count_4d(3) = nlevp1
+            count_4d(4) = 1
 
 !         write(6,"('wrfsech: writing 3d sech field ',a,'(',a,'=',i3,
 !    |      ',',a,'=',i3,',',a,'=',i3,'): min,max=',2e12.4)") 
@@ -3149,11 +3719,29 @@ subroutine wrfsech(ncid,itime)
 !    |      minval(f3d(3:nlonp2,:,:)),maxval(f3d(3:nlonp2,:,:))
 
             istat = nf_put_vara_double(ncid,idvar,start_4d,count_4d,
-     |        f3d(3:nlonp2,:,:))
+     |        f3d(lonbeg:lonend,:,:))
 !
 ! Write 3d+time mag field:
           else                          ! 3d mag
-            count_4d(1) = nmlonp1
+!
+! Allocate and transfer to local 3d output array:
+            allocate(f3d(mlon0:mlon1,mlat0:mlat1,nmlevp1),stat=istat)
+            if (istat /= 0) then
+              write(6,"(/,'>>> wrfsech: Error allocating f3d: ',
+     |          'dimsizes=',3i4)") fsechist(ix)%dimsizes
+              call shutdown('wrfsech')
+            endif
+            f3d = fsechist(ix)%data
+!
+! Write values for 3d+time var (lon,lat,lev,time)
+            start_4d(1) = mlon0
+            start_4d(2) = mlat0
+            start_4d(3) = 1
+            start_4d(4) = itime
+            count_4d(1) = mlon1-mlon0+1
+            count_4d(2) = mlat1-mlat0+1
+            count_4d(3) = nmlevp1
+            count_4d(4) = 1
 
 !         write(6,"('wrfsech: writing 3d sech mag field ',a,'(',a,'=',
 !    |      i3,' ',a,'=',i3,',',a,'=',i3,'): min,max=',2e12.4)") 
@@ -3175,26 +3763,26 @@ subroutine wrfsech(ncid,itime)
 ! Write 2d+time var (lon,lat,time):
         else
 !
-! Allocate and transfer to local 2d array:
-          allocate(f2d(fsechist(ix)%dimsizes(1),
-     |                 fsechist(ix)%dimsizes(2)),stat=istat)
-          if (istat /= 0) then
-            write(6,"(/,'>>> wrfsech: Error allocating f2d: ',
-     |        'dimsizes=',3i4)") fsechist(ix)%dimsizes(1:2)
-            call shutdown('wrfsech')
-          endif
-          f2d = fsechist(ix)%data(:,:,1)
-!
-! Write values for 2d+time var (lon,lat,time)
-          start_3d(1:2) = 1
-          start_3d(3) = itime
-          count_3d(2) = fsechist(ix)%dimsizes(2)
-          count_3d(3) = 1
-!
 ! Write 2d+time geo field:
 ! (write only 3:nlonp2 to exclude periodic points):
           if (fsechist(ix)%geo) then      ! 2d geo
-            count_3d(1) = nlon
+!
+! Allocate and transfer to local 2d array:
+            allocate(f2d(lon0:lon1,lat0:lat1),stat=istat)
+            if (istat /= 0) then
+              write(6,"(/,'>>> wrfsech: Error allocating f2d: ',
+     |          'dimsizes=',2i4)") fsechist(ix)%dimsizes(1:2)
+              call shutdown('wrfsech')
+            endif
+            f2d = fsechist(ix)%data(:,:,1)
+!
+! Write values for 2d+time var (lon,lat,time)
+            start_3d(1) = lonbeg-2
+            start_3d(2) = lat0
+            start_3d(3) = itime
+            count_3d(2) = lonend-lonbeg+1
+            count_3d(2) = lat1-lat0+1
+            count_3d(3) = 1
 
 !         write(6,"('wrfsech: writing 2d geo sech field ',a,'(',a,'=',
 !    |      i3,',',a,'=',i3,'): min,max=',2e12.4)") 
@@ -3204,11 +3792,27 @@ subroutine wrfsech(ncid,itime)
 !    |      minval(f2d(3:nlonp2,:)),maxval(f2d(3:nlonp2,:))
 
             istat = nf_put_vara_double(ncid,idvar,start_3d,count_3d,
-     |        f2d(3:nlonp2,:))
+     |        f2d(lonbeg:lonend,:))
 !
 ! Write 2d+time mag field:
           else                           ! 2d mag
-            count_3d(1) = nmlonp1
+
+! Allocate and transfer to local 2d array:
+            allocate(f2d(mlon0:mlon1,mlat0:mlat1),stat=istat)
+            if (istat /= 0) then
+              write(6,"(/,'>>> wrfsech: Error allocating f2d: ',
+     |          'dimsizes=',2i4)") fsechist(ix)%dimsizes(1:2)
+              call shutdown('wrfsech')
+            endif
+            f2d = fsechist(ix)%data(:,:,1)
+!
+! Write values for 2d+time var (lon,lat,time)
+            start_3d(1) = mlon0
+            start_3d(2) = mlat0
+            start_3d(3) = itime
+            count_3d(1) = mlon1-mlon0+1
+            count_3d(2) = mlat1-mlat0+1
+            count_3d(3) = 1
 
 !         write(6,"('wrfsech: writing 2d mag sech field ',a,'(',a,'=',
 !    |      i3,',',a,'=',i3,'): min,max=',2e12.4)") 
@@ -3248,8 +3852,20 @@ subroutine update_ncfile(ncid,vname,ncfile,idv,ihist)
       character(len=len(ncfile)) :: file
       character(len=120) :: char120
 !
-      if (idv <= 0) 
-     |  istat = nf_inq_varid(ncid,vname,idv)
+      if (idv <= 0) then
+        istat = nf_inq_varid(ncid,vname,idv)
+        if (istat /= NF_NOERR) then
+          write(char120,"('Error from nf_inq_varid to get id for var:',
+     |     a)") trim(vname)
+          call handle_ncerr(istat,char120)
+        endif
+      endif
+      istat = nf_var_par_access(ncid,idv,nf_collective)
+      if (istat /= NF_NOERR) then
+        write(char120,"('Error from nf_var_par_access setting ',
+     |    a,' nf_collective')") trim(vname)
+        call handle_ncerr(istat,char120)
+      endif
       start(1) = 1
       start(2) = ihist
       count(2) = 1
@@ -3269,29 +3885,33 @@ subroutine update_ncfile(ncid,vname,ncfile,idv,ihist)
       end subroutine update_ncfile
 !-----------------------------------------------------------------------
       subroutine wrlbc(ncid,vname,flbc,itime,idv,type)
+      use mpi_module,only: lon0,lon1,lat0,lat1
       implicit none
 !
 ! Update global lbc of t,u,v (TLBC,ULBC,VLBC (lon,lat,time)) to 
 !   current history (may be primary or secondary history).
-! This is executed by master task only (subdomains were gathered
-!   into flbc by mp_gather2root_lbc)
 !
 ! Args:
       integer,intent(in) :: ncid,itime
       integer,intent(inout) :: idv
       character(len=*),intent(in) :: vname,type
-      real,intent(in) :: flbc(nlonp4,nlat) ! data to save on file
+      real,intent(in) :: flbc(lon0-2:lon1+2,lat0-2:lat1+2) ! data to save on file
 !
 ! Local:
-      integer :: istat,j
+      integer :: lonbeg,lonend,istat
       character(len=80) :: char80
-      character(len=120) :: char120
-      real :: fglb(nlon,nlat) ! local for write to history
+      real :: fglb(lon0:lon1,lat0:lat1) ! local for write to history
 !
-      start_3d(1:2) = 1
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+!
+      start_3d(1) = lonbeg-2
+      start_3d(2) = lat0
       start_3d(3) = itime
-      count_3d(1) = nlon
-      count_3d(2) = nlat
+      count_3d(1) = lonend-lonbeg+1
+      count_3d(2) = lat1-lat0+1
       count_3d(3) = 1
 !
 ! idv may be 0 for primary continuation file: 
@@ -3309,9 +3929,16 @@ subroutine wrlbc(ncid,vname,flbc,itime,idv,type)
 !       write(6,"('wrlbc: vname=',a,' idv on input=',i3)") 
 !    |    trim(vname),idv
       endif
+      istat = nf_var_par_access(ncid,idv,nf_collective)
+      if (istat /= NF_NOERR) then
+        write(char80,"('Error setting ',a,' nf_collective')")
+     |    trim(vname)
+        call handle_ncerr(istat,char80)
+      endif
 !
-      fglb(:,:) = flbc(3:nlon+2,:)
-      istat = nf_put_vara_double(ncid,idv,start_3d,count_3d,fglb)
+      fglb(:,:) = flbc(lon0:lon1,lat0:lat1)
+      istat = nf_put_vara_double(ncid,idv,start_3d,count_3d,
+     |  fglb(lonbeg:lonend,:))
       if (istat /= NF_NOERR) then
         write(6,"('>>> wrlbc: error writing ',a,': itime=',i4,
      |    ' type=',a,' global (nlon,nlat) min,max=',2f8.2)") 
@@ -3326,13 +3953,6 @@ subroutine wrlbc(ncid,vname,flbc,itime,idv,type)
 !    |    itime,trim(type),minval(fglb),maxval(fglb)
       endif
 
-!     if (trim(vname)=='TLBC') then
-!       do j=1,nlat
-!         write(6,"('wrlbc: j=',i3,' tlbc(:,j)=',/,(6e12.4))") 
-!    |      j,fglb(:,j)
-!       enddo
-!     endif
-
       end subroutine wrlbc
 !-----------------------------------------------------------------------
       subroutine wrf4d(ncid,name,itime,fake,ix)
@@ -3340,7 +3960,7 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
 ! Write prognostic field type f%data to current netcdf output 
 ! history file attached to ncid:
 !
-      use input_module,only: dynamo
+      use mpi_module,only: lon0,lon1,lat0,lat1
 !
 ! Args:
       integer,intent(in) :: ncid,itime,ix
@@ -3348,10 +3968,10 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
       logical,intent(in) :: fake
 !
 ! Local:
-      integer :: nxk,k,i,j,idvar,istat,lonbeg,lonend,nnans,nanfatal
-      real :: f3d(nlon,nlat,nlevp1) ! note i,j,k for history
+      integer :: k,j,idvar,istat,lonbeg,lonend,nnans,nanfatal
+      real :: f3d(lon0:lon1,lat0:lat1,nlevp1) ! note i,j,k for history
       character(len=120) :: char120
-      real :: fakevar(1,1,1),fmin,fmax
+      real :: fakevar(1,1,1)
 !
 ! Fake means 3d fields are dimensioned (1,1,1):
 ! (see fakeflds in flds_mod.f)
@@ -3359,6 +3979,12 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
         istat = nf_inq_varid(ncid,name,idvar)
         if (istat /= NF_NOERR) then
           write(char120,"('wrf4d: Error getting id of field var ',a)")
+     |      trim(name)
+          call handle_ncerr(istat,char120)
+        endif
+        istat = nf_var_par_access(ncid,idvar,nf_collective)
+        if (istat /= NF_NOERR) then
+          write(char120,"('wrf4d: Error setting ',a,' nf_collective')")
      |      trim(name)
           call handle_ncerr(istat,char120)
         endif
@@ -3372,7 +3998,7 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
         istat = nf_put_vara_double(ncid,idvar,start_4d,count_4d,fakevar)
         if (istat /= NF_NOERR) then
           write(char120,"('wrf4d: Error return from nf_put_vara_double',
-     +      ' for fake field var ',a,' itime=',i2)") name,itime
+     |      ' for fake field var ',a,' itime=',i2)") name,itime
           call handle_ncerr(istat,char120)
         endif
         return
@@ -3381,9 +4007,9 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
 !  Electric potential in f4d(i_poten) has been updated by sub
 !  prepare_phig3d in pdynamo.F.
 !
-      do j=1,nlat
+      do j=lat0,lat1
         do k=1,nlevp1
-          f3d(:,j,k) = foutput(k,3:nlon+2,j,ix)
+          f3d(:,j,k) = foutput(k,:,j,ix)
         enddo
       enddo
 !
@@ -3394,90 +4020,115 @@ subroutine wrf4d(ncid,name,itime,fake,ix)
      |    trim(name)
         call handle_ncerr(istat,char120)
       endif
+      istat = nf_var_par_access(ncid,idvar,nf_collective)
+      if (istat /= NF_NOERR) then
+        write(char120,"('wrf4d: Error setting ',a,' nf_collective')")
+     |    trim(name)
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Put data onto netcdf file (this is where the majority of output
 !   i/o happens). 
 !
-      start_4d(1:3) = 1
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+!
+      start_4d(1) = lonbeg-2
+      start_4d(2) = lat0
+      start_4d(3) = 1
       start_4d(4) = itime
-      count_4d(1) = nlon
-      count_4d(2) = nlat
+      count_4d(1) = lonend-lonbeg+1
+      count_4d(2) = lat1-lat0+1
       count_4d(3) = nlevp1
       count_4d(4) = 1
-      istat = nf_put_vara_double(ncid,idvar,start_4d,count_4d,f3d)
+      istat = nf_put_vara_double(ncid,idvar,start_4d,count_4d,
+     |  f3d(lonbeg:lonend,:,:))
       if (istat /= NF_NOERR) then
         write(char120,"('Error return from nf_put_vara_double',
-     +    ' for field var ',a,' itime=',i2)") name,itime
+     |    ' for field var ',a,' itime=',i2)") name,itime
         call handle_ncerr(istat,char120)
       endif
 !
-! Write min,max of each field if not echoing source history:
 !     if (istep /= 0) then
-!       call fminmaxspv(f3d,nlon*nlev*nlat,fmin,fmax,spval)
-!       write(6,"('wrf4d: Wrote field ',a,' istep=',i3,
-!    |    ' 3d min,max=',2e12.4)") name(1:8),istep,fmin,fmax
+!       write(6,"('wrf4d: Wrote field ',a,' istep=',i3)")
+!    |    name(1:8),istep
 !     endif
 !
 ! Check for NaNs:
       nanfatal = 1 ! abort if nans are found (this is normal default)
 !     nanfatal = 0 ! temporary: allow NaNs for debug
       if (check_nan) 
-     |  call check_nans(f3d,nlon,nlat,nlevp1,name(1:8),nnans,
-     |    0,0.,1,nanfatal)
+     |  call check_nans(f3d,lon1-lon0+1,lat1-lat0+1,nlevp1,name(1:8),
+     |    nnans,0,0.,1,nanfatal)
       end subroutine wrf4d
 !-----------------------------------------------------------------------
       subroutine wrf3d(ncid,f,itime,name,idv)
 !
 ! Write global 3d field type f(k,i,j) to current netcdf output history 
 ! file attached to ncid:
+!
+      use mpi_module,only: lon0,lon1,lat0,lat1
 !
 ! Args:
       integer,intent(in) :: ncid,itime,idv
-      real :: f(nlevp1,nlonp4,nlat)
+      real :: f(nlevp1,lon0:lon1,lat0:lat1)
       character(len=*),intent(in) :: name
 !
 ! Local:
-      integer :: nxk,k,i,j,istat,lonbeg,lonend,nnans,nanfatal
-      real :: f3d(nlon,nlat,nlevp1) ! note i,j,k for history
+      integer :: lonbeg,lonend,k,j,istat,nnans,nanfatal
+      real :: f3d(lon0:lon1,lat0:lat1,nlevp1) ! note i,j,k for history
       character(len=120) :: char120
-      real :: fmin,fmax
 !
 ! Transform from (k,i,j) to (i,j,k) for the history.
-! f3d(nlon,nlat,nlevp1)            ! note i,j,k for history
+! f3d(lon0:lon1,lat0:lat1,nlevp1)            ! note i,j,k for history
 !
-      do j=1,nlat
+      do j=lat0,lat1
         do k=1,nlevp1
-          f3d(:,j,k) = f(k,3:nlon+2,j)
+          f3d(:,j,k) = f(k,:,j)
         enddo
       enddo
+!
+      istat = nf_var_par_access(ncid,idv,nf_collective)
+      if (istat /= NF_NOERR) then
+        write(char120,"('wrf3d: Error return from nf_var_par_access',
+     |    ' setting ',a,' nf_collective',i2)") name
+        call handle_ncerr(istat,char120)
+      endif
 !
 ! Put data onto netcdf file (this is where the majority of output
 !   i/o happens). 
 !
-      start_4d(1:3) = 1
+      lonbeg = lon0
+      if (lon0 == 1) lonbeg = 3
+      lonend = lon1
+      if (lon1 == nlonp4) lonend = nlonp2
+!
+      start_4d(1) = lonbeg-2
+      start_4d(2) = lat0
+      start_4d(3) = 1
       start_4d(4) = itime
-      count_4d(1) = nlon
-      count_4d(2) = nlat
+      count_4d(1) = lonend-lonbeg+1
+      count_4d(2) = lat1-lat0+1
       count_4d(3) = nlevp1
       count_4d(4) = 1
-      istat = nf_put_vara_double(ncid,idv,start_4d,count_4d,f3d)
+      istat = nf_put_vara_double(ncid,idv,start_4d,count_4d,
+     |  f3d(lonbeg:lonend,:,:))
       if (istat /= NF_NOERR) then
         write(char120,"('wrf3d: Error return from nf_put_vara_double',
-     +    ' for field var ',a,' itime=',i2)") name,itime
+     |    ' for field var ',a,' itime=',i2)") name,itime
         call handle_ncerr(istat,char120)
       endif
 !
-! Write min,max of each field if not echoing source history:
 !     if (istep /= 0) then
-!       call fminmaxspv(f3d,nlon*nlev*nlat,fmin,fmax,spval)
-!       write(6,"('wrf3d: Wrote field ',a,' istep=',i3,
-!    |    ' 3d min,max=',2e12.4)") name,istep,fmin,fmax
+!       write(6,"('wrf3d: Wrote field ',a,' istep=',i3)") name,istep
 !     endif
 !
 ! Check for NaNs:
       nanfatal = 1 ! abort if nans are found
       if (check_nan) 
-     |  call check_nans(f3d,nlon,nlat,nlevp1,name,nnans,
+     |  call check_nans(f3d,lon1-lon0+1,lat1-lat0+1,nlevp1,name,nnans,
      |    0,0.,1,nanfatal)
       end subroutine wrf3d
 !-----------------------------------------------------------------------
@@ -3491,7 +4142,7 @@ subroutine nc_fileinfo(ncid,fileinfo)
 ! if the file is disposed to the hpss, and is therefore accessible 
 ! via "hsi ls -lA". Example fileinfo string:
 !
-! 96080  80, 0, 0 to 96084  84, 0, 0 by  720 tgcm22 primary
+! 96080  80, 0, 0, 0 to 96084  84, 0, 0, 0 by  43200 tgcm22 primary
 !
 ! Args:
       integer,intent(in) :: ncid
@@ -3499,7 +4150,7 @@ subroutine nc_fileinfo(ncid,fileinfo)
 !
 ! Local:
       integer :: istat,idvmtime,idtime,ntimes,idvyear,idvday,
-     |  mtime_beg(3),mtime_end(3),istart2(2),icount2(2),
+     |  mtime_beg(4),mtime_end(4),istart2(2),icount2(2),
      |  iyear_beg,iyear_end,iday_beg,iday_end,idelhist,
      |  ibegiyd,iendiyd
       character(len=16) :: mversion,htype
@@ -3525,7 +4176,7 @@ subroutine nc_fileinfo(ncid,fileinfo)
 ! Get beginning and ending mtimes:
       istart2(1) = 1
       istart2(2) = 1
-      icount2(1) = 3
+      icount2(1) = 4
       icount2(2) = 1
       istat = nf_get_vara_int(ncid,idvmtime,istart2,icount2,
      |  mtime_beg)
@@ -3540,42 +4191,64 @@ subroutine nc_fileinfo(ncid,fileinfo)
 ! Get beginning and ending year:
       istat = nf_inq_varid(ncid,"year",idvyear) 
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     |    'nc_fileinfo: Error getting id of variable year')
+     |  'nc_fileinfo: Error getting id of variable year')
       istat = nf_get_var1_int(ncid,idvyear,1,iyear_beg)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting variable year')
       istat = nf_get_var1_int(ncid,idvyear,ntimes,iyear_end)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting variable year')
 !
 ! Get beginning and ending day:
       istat = nf_inq_varid(ncid,"day",idvday) 
       if (istat /= NF_NOERR) call handle_ncerr(istat,
-     |    'nc_fileinfo: Error getting id of variable day')
+     |  'nc_fileinfo: Error getting id of variable day')
       istat = nf_get_var1_int(ncid,idvday,1,iday_beg)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting variable day')
       istat = nf_get_var1_int(ncid,idvday,ntimes,iday_end)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting variable day')
 !
-! Get delta time between histories (minutes), model version,
+! Get delta time between histories (seconds), model version,
 ! and history type:
-      istat = nf_get_att_int (ncid,NF_GLOBAL,"delhist_mins",idelhist)
+      istat = nf_get_att_int (ncid,NF_GLOBAL,"delhist_secs",idelhist)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting attribute delhist_secs')
       mversion = ' '
       istat = nf_get_att_text(ncid,NF_GLOBAL,"model_version",mversion)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting attribute model_version')
       htype = ' '
       istat = nf_get_att_text(ncid,NF_GLOBAL,"history_type",htype)
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error getting attribute history_type')
 !
 ! Construct file info string:
       ibegiyd = (iyear_beg-iyear_beg/100*100)*1000+iday_beg
       iendiyd = (iyear_end-iyear_end/100*100)*1000+iday_end
-      write(fileinfo,"(i5.5,' ',i3,' ',i2,' ',i2,' to ',
-     |                 i5.5,' ',i3,' ',i2,' ',i2,' by ',i4,
+      write(fileinfo,"(i5.5,' ',i3,' ',i2,' ',i2,' ',i2,' to ',
+     |                 i5.5,' ',i3,' ',i2,' ',i2,' ',i2,' by ',i6,
      |  ' ',a,' ',a)") ibegiyd, mtime_beg,iendiyd, mtime_end, 
      |  idelhist,trim(mversion),trim(htype)
 !
 ! Add file info string and description of file info global attributes:
       istat = nf_redef(ncid)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'nc_fileinfo: Error from nf_redef')
       istat = nf_put_att_text(ncid,NF_GLOBAL,"contents",
      |  len_trim(fileinfo),trim(fileinfo))
-      write(contents_desc,"('yyddd day hour min',
-     |  ' to yyddd day hour min by delta_mins')")
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error putting attribute contents')
+      write(contents_desc,"('yyddd day hour min sec',
+     |  ' to yyddd day hour min sec by delta_secs')")
       istat = nf_put_att_text(ncid,NF_GLOBAL,"contents_desc",
      |  len_trim(contents_desc),trim(contents_desc))
+      if (istat /= NF_NOERR) call handle_ncerr(istat,
+     |  'nc_fileinfo: Error putting attribute contents_desc')
       istat = nf_enddef(ncid)
+      if (istat /= NF_NOERR)
+     |  call handle_ncerr(istat,'nc_fileinfo: Error from nf_enddef')
 !     write(6,"('nc_fileinfo: fileinfo=',a)") trim(fileinfo)
       end subroutine nc_fileinfo
 !-----------------------------------------------------------------------
@@ -3588,7 +4261,7 @@ subroutine rdfilename(ncid,itime,idv,vname,filelen,filename)
       character(len=*),intent(out) :: filename ! (mxlen_filename)
 !
 ! Local:
-      integer :: i,ii,istat,len,id
+      integer :: ii,istat,len
       integer :: index(2)
       character(len=filelen) :: nameonfile
 !
diff --git a/src/newton.F b/src/newton.F
index 5d976b7..c9c4068 100644
--- a/src/newton.F
+++ b/src/newton.F
@@ -1,5 +1,5 @@
 !
-      subroutine newton(tn,o2,o1,n2,no,barm,cp,cool_implicit,
+      subroutine newton(tn,o2,o1,n2,no,barm,xnmbar,cp,cool_implicit,
      |  cool_explicit,lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -10,11 +10,10 @@ subroutine newton(tn,o2,o1,n2,no,barm,cp,cool_implicit,
 !
       use params_module,only: dz
       use cons_module,only: rmass_co2,p0,expz,expzmid_inv,boltz,
-     |  avto,avo,rmassinv_o2,rmassinv_o1,rmassinv_n2,rmassinv_no,
-     |  gask
+     |  avo,rmassinv_o2,rmassinv_o1,rmassinv_n2,rmassinv_no
       use addfld_module,only: addfld
       use diags_module,only: mkdiag_CO2COOL,mkdiag_NOCOOL
-      use init_module,only: sfeps,iday,iyear,secs,istep
+      use init_module,only: iday,iyear,secs
       implicit none
 !
 ! Args:
@@ -26,7 +25,8 @@ subroutine newton(tn,o2,o1,n2,no,barm,cp,cool_implicit,
      |  n2,      ! molecular nitrogen (mmr)
      |  no,      ! nitric oxide (mmr)
      |  cp,      ! specific heat
-     |  barm     ! mean molecular weight
+     |  barm,    ! mean molecular weight
+     |  xnmbar   ! p0*e(-z)*mbar/kT
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) ::
      |  cool_implicit, cool_explicit ! output
 !
@@ -95,7 +95,7 @@ subroutine newton(tn,o2,o1,n2,no,barm,cp,cool_implicit,
 !
 ! a(no) (s11):
           ano(k,i) = 
-     |      .5*(barm(k,i)+barm(k+1,i))*avo*p0*expz(k)/(gask*tn(k,i))*
+     |      xnmbar(k,i)*
      |      (4.2e-11*o1(k,i)*rmassinv_o1+
      |       2.4e-14*o2(k,i)*rmassinv_o2)
 !
@@ -131,18 +131,19 @@ subroutine newton(tn,o2,o1,n2,no,barm,cp,cool_implicit,
       end subroutine newton
 !-----------------------------------------------------------------------
       subroutine newto3p(tn,o1,cp,cool_implicit,cool_explicit,
-     |  lev0,lev1,lon0,lon1,lat)
+     |  lev0,lev1,lon0,lon1)
 !
 ! Add O(3P) cooling to implicit and explicit cooling terms.
 ! This is called from dynamics after newton.
 !
-      use params_module,only: dz
+      use params_module,only: zibot,zpint
       use cons_module,only: avo,rmassinv_o1,expz
       use addfld_module,only: addfld
+      use interp_module,only: interp1d
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
      |  tn,      ! neutral temperature (deg K)
      |  o1,      ! atomic oxygen (mmr)
@@ -160,33 +161,14 @@ subroutine newto3p(tn,o1,cp,cool_implicit,cool_explicit,
      |  bn(3) = (/228.,228.,325./)
       real :: xfac(lev0:lev1)
       real,dimension(lev0:lev1,lon0:lon1) :: fac1,fac2
-!
-      if (dz==0.5) then
-        xfac =
+      real,dimension(29),parameter ::
+     |  zpint_5 = (/(zibot+(k-1)*0.5, k=1,29)/),
+     |  xfac_5 =
      |    (/0.1000E-01, 0.1000E-01, 0.1000E-01, 0.5000E-01, 0.1000E+00,
      |      0.2000E+00, 0.4000E+00, 0.5500E+00, 0.7000E+00, 0.7500E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00/)
-      elseif (dz==0.25) then
-        xfac =
-     |    (/0.1000E-01, 0.1000E-01, 0.1000E-01, 0.1000E-01, 0.1000E-01,
-     |      0.3000E-01, 0.5000E-01, 0.7500E-01, 0.1000E+00, 0.1500E+00,
-     |      0.2000E+00, 0.3000E+00, 0.4000E+00, 0.4750E+00, 0.5500E+00,
-     |      0.6250E+00, 0.7000E+00, 0.7250E+00, 0.7500E+00, 0.7750E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00, 0.8000E+00,
-     |      0.8000E+00, 0.8000E+00/)
-      else
-        write(6,"('>>> WARNING newto3p: unsupported dz=',f10.3)") dz
-        call shutdown('newto3p')
-      endif
+     |      (0.8000E+00, k=1,19)/)
+!
+      xfac = interp1d(zpint,zpint_5,xfac_5)
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
@@ -219,10 +201,5 @@ subroutine newto3p(tn,o1,cp,cool_implicit,cool_explicit,
           cool_explicit(k,i) = cool_explicit(k,i)+fac1(k,i)*expz(k)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
-!
-!     call addfld('COOLIMP' ,' ',' ',cool_implicit(:,lon0:lon1),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('COOLEXP' ,' ',' ',cool_explicit(:,lon0:lon1),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !
       end subroutine newto3p
diff --git a/src/numfiles.F b/src/numfiles.F
index 04d2262..ca7f5b7 100644
--- a/src/numfiles.F
+++ b/src/numfiles.F
@@ -12,7 +12,7 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
 ! mxhist_[prim,sech] histories). This is called from input.
 !
       use input_module,only: step,
-     |  mxhist_prim,start   ,stop,   hist,
+     |  mxhist_prim,pristart,pristop,prihist,
      |  mxhist_sech,secstart,secstop,sechist
       implicit none
 !
@@ -26,10 +26,9 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
       integer,intent(out) :: nhist_total   ! total histories to be written
 !
 ! Local:
-      integer :: i,mtime(3),nhfile,nhseries,modeltime(4)
+      integer :: i,nhfile,nhseries
       integer(kind=8) :: nsecs,idelsecs,nsecstop
       integer(kind=8),external :: mtime_to_nsec
-      integer :: mtime_curr(4),mtime_stop(4)
 !
 ! Primary histories:
       if (type=='prim') then
@@ -38,17 +37,10 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
 !
 ! Iterate through each primary history time series:
         do i=1,nseries
-          idelsecs = mtime_to_nsec(hist(:,i)) ! delta secs between histories
-          nsecstop = mtime_to_nsec(stop(:,i)) ! stop secs
+          idelsecs = mtime_to_nsec(prihist(:,i)) ! delta secs between histories
+          nsecstop = mtime_to_nsec(pristop(:,i)) ! stop secs
           numfiles = numfiles+1 ! start new file at each new time series
-          nsecs = mtime_to_nsec(start(:,i)) ! time in secs
-! debug:
-!         call nsecs_to_modeltime(nsecs,mtime_curr)
-!         call nsecs_to_modeltime(nsecstop,mtime_stop)
-!         write(6,"(/,'numfiles prim: i=',i2,' mtime_curr=',3i4,
-!    |      ' mtime_stop=',3i4,' numfiles=',i2)") 
-!    |      i,mtime_curr(1:3),mtime_stop(1:3),numfiles
-! end debug
+          nsecs = mtime_to_nsec(pristart(:,i)) ! time in secs
 !
 ! If start history of a new time series is the same as last history
 ! of the previous time series, we do not rewrite the start history 
@@ -56,7 +48,7 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
 ! Otherwise, set nsecs to first history in the new series:
 !
           if (i > 1) then
-            if (all(start(:,i) == stop(:,i-1)))
+            if (all(pristart(:,i) == pristop(:,i-1)))
      |        nsecs = nsecs+idelsecs
           endif
 !
@@ -76,12 +68,7 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
               numfiles = numfiles+1
               nhfile = 1
             endif
-! debug:
-!           call nsecs_to_modeltime(nsecs,mtime_curr)
-!           write(6,"(' primhist: i=',i2,' mtime_curr=',3i4,
-!    |        ' nhseries=',i2,' nhfile=',i2,' numfiles=',i2)")
-!    |        i,mtime_curr(1:3),nhseries,nhfile,numfiles
-! end debug
+!
             nsecs = nsecs+idelsecs
             if (nsecs > nsecstop) exit primloop
           enddo primloop
@@ -108,13 +95,6 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
           nsecstop = mtime_to_nsec(secstop(:,i))
           numfiles = numfiles+1 ! start new file at each new time series
           nsecs = mtime_to_nsec(secstart(:,i))
-! debug:
-!         call nsecs_to_modeltime(nsecs,mtime_curr)
-!         call nsecs_to_modeltime(nsecstop,mtime_stop)
-!         write(6,"(/,'numfiles sech: i=',i2,' mtime_curr=',3i4,
-!    |      ' mtime_stop=',3i4,' numfiles=',i2)") 
-!    |      i,mtime_curr(1:3),mtime_stop(1:3),numfiles
-! end debug
 !
 ! If start history of a new time series is the same as last history
 ! of the previous time series, we do not rewrite the start history 
@@ -133,12 +113,7 @@ integer function numfiles(type,nseries,nsource,nhist_output1,
               numfiles = numfiles+1
               nhfile = 1
             endif
-! debug:
-!           call nsecs_to_modeltime(nsecs,mtime_curr)
-!           write(6,"(' sech: i=',i2,' mtime_curr=',3i4,
-!    |        ' nhseries=',i2,' nhfile=',i2,' numfiles=',i2)")
-!    |        i,mtime_curr(1:3),nhseries,nhfile,numfiles
-! end debug
+!
             nsecs = nsecs+idelsecs
             if (nsecs > nsecstop) exit sechloop
           enddo sechloop
diff --git a/src/oplus.F b/src/oplus.F
index 2b59e3a..22b7fef 100644
--- a/src/oplus.F
+++ b/src/oplus.F
@@ -17,14 +17,10 @@ module oplus_module
 #endif
       implicit none
 !
-! 1/8/08 btf: add option to call filter() and/or filter2() for oplus.
-! Default for tiegcm is callfilt1=.false. and callfilt2=.true.
-      logical :: callfilt1=.false.  ! if true, call filter()
-      logical :: callfilt2=.true.   ! if true, call filter2()
       contains
 !-----------------------------------------------------------------------
-      subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
-     |  xnmbar,op,optm1,opout,optm1out,xiop2p,xiop2d,
+      subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,ui,vi,wi,
+     |  xnmbar,scht,op,optm1,opout,optm1out,xiop2p,xiop2d,Fe,Fn,
      |  lev0,lev1,lon0,lon1,lat0,lat1)
 !
 ! Update O+ ion at 3d task subdomain.
@@ -33,11 +29,10 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! There are 4 latitude scans, with 3d mpi calls in between the loops.
 !   (see also 3d gather/scatter calls in sub filter_op).
 !
-      use params_module,only: zpmid,glat,glon  ! for O+ minimum
-      use init_module,only: secs,istep         ! for O+ minimum
+      use params_module,only: zpmid,glat  ! for O+ minimum
       use cons_module,only: rmass_op,gask,grav,re,cs,dphi,dlamda,
-     |  shapiro,dtx2inv,boltz,expz,rmassinv_o2,rmassinv_o1,
-     |  rmassinv_n2,rmassinv_n2d,p0,dtsmooth,dtsmooth_div2,kut
+     |  shapiro,dtx2inv,rmassinv_o2,rmassinv_o1,
+     |  rmassinv_n2,rmassinv_n2d,dtsmooth,dtsmooth_div2
       use qrj_module,only: 
      |  qop2p, ! O+(2p) ionization from qrj, used in xiop2p
      |  qop2d, ! O+(2d) ionization from qrj, used in xiop2d
@@ -45,11 +40,10 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       use chemrates_module,only: ! needed chemical reaction rates
      |  rk1 ,rk2 ,rk10,rk16,rk17,rk18,rk19,rk20,
      |  rk21,rk22,rk23,rk24,rk25,rk26,rk27
-      use input_module,only: enforce_opfloor
-#ifdef MPI
+      use input_module,only: enforce_opfloor,nstep_sub
+      use magfield_module,only: dipmag,sndec,csdec
       use mpi_module,only: mp_bndlons_f3d, mp_periodic_f3d,
-     |  mp_polelats_f3d,mp_geo_halos_f3d
-#endif
+     |  mp_polelats_f3d,mp_geo_halos_f3d,mp_bndlats_f3d
 !
 ! Args:
       integer,intent(in) :: 
@@ -66,11 +60,11 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |  n2d,        ! n2d
      |  ne,         ! electron density
      |  u,v,w,      ! neutral wind velocities (zonal, meridional, omega)
-     |  barm,       ! mean molecular mass
      |  optm1,      ! O+ at time n-1
      |  op,         ! O+ ion
      |  ui,vi,wi,   ! zonal, meridional, and vertical ion velocities
-     |  xnmbar      ! p0*e(-z)*barm/kT
+     |  xnmbar,     ! p0*e(-z)*mbar/kT
+     |  scht        ! scale height
 !
 ! N2 is intent(inout) for setting halo points (mp_geo_halos_f3d call below)
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2),
@@ -81,11 +75,11 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |  intent(out) ::
      |  opout,    ! O+ output for next timestep
      |  optm1out, ! O+ output for time n-1
-     |  xiop2p,xiop2d
+     |  xiop2p,xiop2d,Fe,Fn
 !
 ! Local:
-      integer :: k,i,ii,lonbeg,lonend,lat,ier,nlevs
-      integer :: jm2,jm1,j0,jp1,jp2 ! lat-2, lat-1, lat, lat+1, lat+2 
+      integer :: k,i,lonbeg,lonend,lat,ier,nlevs
+      integer :: jm2,jm1,jp1,jp2 ! lat-2, lat-1, lat+1, lat+2 
       real,dimension(lon0:lon1,lat0:lat1) :: 
      |  opflux,    ! upward number flux of O+ (returned by sub oplus_flux) (t7)
      |  dvb        ! output of sub divb
@@ -111,7 +105,7 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! (default namelist enforce_opfloor = 1). The floor is a
 ! spatial gaussian based on the O+ minimum (opmin below).
 !
-      real :: opfloor,glondeg,slt,dum
+      real :: opfloor,wd
 !
 ! 1/21/16 btf: O+ minimum increased from 1000 to 3000.
 ! (This alleviates numerical instability that can develop
@@ -132,7 +126,8 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |  bdotdh_opj,  ! (b(h)*del(h))*phi
      |  bdotdh_diff, ! (b(h)*del(h))*phi
      |  dj,          ! diffusion coefficients (s13,s14,s15)
-     |  optm1_smooth ! op at time n-1, with shapiro smoother (was s1)
+     |  optm1_smooth,! op at time n-1, with shapiro smoother (was s1)
+     |  vni
       real,dimension(lev0:lev1,lon0-2:lon1+2,lat0-2:lat1+2,5) :: f5
       logical,parameter :: debug=.false. ! if set write print statements to stdout
 !
@@ -148,7 +143,6 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! Number of pressure levels (this will equal nlevp1):
       nlevs = lev1-lev0+1 ! for bndlons calls
 
-#ifdef MPI
 !
 ! Make latitudes j=-1,0 from j=2,1, and j=nlat+1,nlat+2 from nlat-1,nlat for n2, 
 ! then define 2d halos points.  Note that mp_geo_halos_f3d and mp_polelats_f3d 
@@ -158,7 +152,6 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       call mp_polelats_f3d(n2(:,lon0:lon1,:),   ! 3rd dim is lat0-2:lat1+2
      |  lev0,lev1,lon0,lon1,lat0,lat1,1,(/1./)) ! last arg means no change in polesign
       call mp_geo_halos_f3d(n2,lev0,lev1,lon0,lon1,lat0,lat1,1)      
-#endif
 !
 ! Save inputs to secondary history file:
 ! 
@@ -195,20 +188,20 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       if (debug) write(6,"('oplus after divb.')")
 !     call addfld('OP_DIVB',' ',' ',dvb,
 !    |  'lon',lon0,lon1,'lat',lat0,lat1,0)
+!
+      call mkdiag_BXYZ('BX',bx(lon0:lon1,lat0:lat1),lon0,lon1,lat0,lat1)
+      call mkdiag_BXYZ('BY',by(lon0:lon1,lat0:lat1),lon0,lon1,lat0,lat1)
+      call mkdiag_BXYZ('BZ',bz(lon0:lon1,lat0:lat1),lon0,lon1,lat0,lat1)
+      call mkdiag_BMAG('BMAG',bmod2(lon0:lon1,lat0:lat1),
+     |  lon0,lon1,lat0,lat1)
 !
 !----------------------- Begin first latitude scan ---------------------
       do lat=lat0,lat1
         if (debug) write(6,"('oplus begin first lat scan: lat=',i3)")lat
         jm2 = lat-2
         jm1 = lat-1
-        j0  = lat
         jp1 = lat+1
         jp2 = lat+2
-
-        call mkdiag_BXYZ('BX',    bx (lon0:lon1,lat),lon0,lon1,lat)
-        call mkdiag_BXYZ('BY',    by (lon0:lon1,lat),lon0,lon1,lat)
-        call mkdiag_BXYZ('BZ',    bz (lon0:lon1,lat),lon0,lon1,lat)
-        call mkdiag_BMAG('BMAG',bmod2(lon0:lon1,lat),lon0,lon1,lat)
 !
 ! Set reduced temperature (average of tn and ti)
 !
@@ -234,31 +227,28 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !
 ! rrk returns djm1,dj,djp1:
 !
-      call rrk(
-     |  tn(:,lon0:lon1,jm1),barm(:,lon0:lon1,jm1),
+      call rrk(xnmbar(:,lon0:lon1,jm1),
      |  o2(:,lon0:lon1,jm1),o1(:,lon0:lon1,jm1),
      |  n2(:,lon0:lon1,jm1),he(:,lon0:lon1,jm1),
      |  tr(:,lon0:lon1,jm1),dj(:,lon0:lon1,jm1),
-     |  lon0,lon1,lev0,lev1,lat)
+     |  vni(:,lon0:lon1,jm1),lon0,lon1,lev0,lev1)
 
-      call rrk(
-     |  tn(:,lon0:lon1,lat),barm(:,lon0:lon1,lat),
+      call rrk(xnmbar(:,lon0:lon1,lat),
      |  o2(:,lon0:lon1,lat),o1(:,lon0:lon1,lat),
      |  n2(:,lon0:lon1,lat),he(:,lon0:lon1,lat),
      |  tr(:,lon0:lon1,lat),dj(:,lon0:lon1,lat),
-     |  lon0,lon1,lev0,lev1,lat)
+     |  vni(:,lon0:lon1,lat),lon0,lon1,lev0,lev1)
 
-      call rrk(
-     |  tn(:,lon0:lon1,jp1),barm(:,lon0:lon1,jp1),
+      call rrk(xnmbar(:,lon0:lon1,jp1),
      |  o2(:,lon0:lon1,jp1),o1(:,lon0:lon1,jp1),
      |  n2(:,lon0:lon1,jp1),he(:,lon0:lon1,jp1),
      |  tr(:,lon0:lon1,jp1),dj(:,lon0:lon1,jp1),
-     |  lon0,lon1,lev0,lev1,lat)
+     |  vni(:,lon0:lon1,jp1),lon0,lon1,lev0,lev1)
 
       if (debug) write(6,"('oplus after rrk: lat=',i3)") lat
-!     call addfld('DJ','DJ: Ambipolar Diffusion of O+',' ',
-!    |    dj(lev0:lev1-1,lon0:lon1,lat),
-!    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
+      call addfld('DJ','DJ: Ambipolar Diffusion of O+',' ',
+     |    dj(lev0:lev1-1,lon0:lon1,lat),
+     |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
 ! Plasma temperature:
       do i=lon0,lon1
@@ -272,12 +262,9 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          hj(k,i,jm1) = gask*tn(k,i,jm1)/
-     |      (0.5*(barm(k,i,jm1)+barm(k+1,i,jm1))*grav)
-          hj(k,i,lat  ) = gask*tn(k,i,j0 )/
-     |      (0.5*(barm(k,i,j0 )+barm(k+1,i,j0 ))*grav)
-          hj(k,i,jp1) = gask*tn(k,i,jp1)/
-     |      (0.5*(barm(k,i,jp1)+barm(k+1,i,jp1))*grav)
+          hj(k,i,jm1) = scht(k,i,jm1)
+          hj(k,i,lat) = scht(k,i,lat)
+          hj(k,i,jp1) = scht(k,i,jp1)
         enddo
       enddo
       if (debug) write(6,"('oplus after hj: lat=',i3)") lat
@@ -295,9 +282,9 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |      hj(k,i,jm1)*bz(i,jm1)*0.5*(w(k,i,jm1)+w(k+1,i,jm1)))*
      |      op(k,i,jm1) 
           bvel(k,i,lat) = 
-     |      (bx(i,lat)*u(k,i,j0)+by(i,lat)*v(k,i,j0)+
-     |      hj(k,i,lat)*bz(i,lat)*0.5*(w(k,i,j0)+w(k+1,i,j0)))*
-     |      op(k,i,j0)
+     |      (bx(i,lat)*u(k,i,lat)+by(i,lat)*v(k,i,lat)+
+     |      hj(k,i,lat)*bz(i,lat)*0.5*(w(k,i,lat)+w(k+1,i,lat)))*
+     |      op(k,i,lat)
           bvel(k,i,jp1) = 
      |      (bx(i,jp1)*u(k,i,jp1)+by(i,jp1)*v(k,i,jp1)+ 
      |      hj(k,i,jp1)*bz(i,jp1)*0.5*(w(k,i,jp1)+w(k+1,i,jp1)))*
@@ -305,19 +292,19 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
       if (debug) write(6,"('oplus after bvel: lat=',i3)") lat
-!     call addfld('BVEL_J'  ,' ',' ',bvel(lev0:lev1-1,lon0:lon1,j0),
+!     call addfld('BVEL_J'  ,' ',' ',bvel(lev0:lev1-1,lon0:lon1,lat),
 !    |    'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !
       tp(lev1,:,jm1:jp1) = 0.
       call diffus(
      |  tp(:,lon0:lon1,jm1),op(:,lon0:lon1,jm1),hj(:,:,jm1),
-     |  diffj(:,lon0:lon1,jm1),lon0,lon1,lev0,lev1,lat)
+     |  diffj(:,lon0:lon1,jm1),lon0,lon1,lev0,lev1)
       call diffus(
      |  tp(:,lon0:lon1,lat),op(:,lon0:lon1,lat),hj(:,:,lat),
-     |  diffj(:,lon0:lon1,lat),lon0,lon1,lev0,lev1,lat)
+     |  diffj(:,lon0:lon1,lat),lon0,lon1,lev0,lev1)
       call diffus(
      |  tp(:,lon0:lon1,jp1),op(:,lon0:lon1,jp1),hj(:,:,jp1),
-     |  diffj(:,lon0:lon1,jp1),lon0,lon1,lev0,lev1,lat)
+     |  diffj(:,lon0:lon1,jp1),lon0,lon1,lev0,lev1)
 
       if (debug) write(6,"('oplus after diffus: lat=',i3)") lat
 !     call addfld('DIFFJ','DIFFJ after diffus',' ',
@@ -343,10 +330,10 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! optm1_smooth will be used in explicit terms below.
       do i=lon0,lon1
         do k=lev0,lev1-1
-          optm1_smooth(k,i,lat) = optm1(k,i,j0)-shapiro*
+          optm1_smooth(k,i,lat) = optm1(k,i,lat)-shapiro/nstep_sub*
      |      (optm1(k,i,jp2)+optm1(k,i,jm2)-4.*
      |      (optm1(k,i,jp1)+optm1(k,i,jm1))+6.*
-     |       optm1(k,i,j0))
+     |       optm1(k,i,lat))
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !     call addfld('OPTM1_SM0' ,' ',' ',
@@ -355,9 +342,18 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !
         if (debug) write(6,"('oplus end first lat scan: lat=',i3)") lat
       enddo ! lat=lat0,lat1
-!------------------------- End first latitude scan ---------------------
-#ifdef MPI
 !
+      do lat=lat0,lat1
+        do i=lon0,lon1
+          do k=lev0,lev1-1
+            wd = vni(k,i,lat)*diffj(k,i,lat)*dj(k,i,lat)*
+     |        sin(dipmag(i,lat))*cos(dipmag(i,lat))
+            Fe(k,i,lat) = wd*sndec(i,lat)
+            Fn(k,i,lat) = wd*csdec(i,lat)
+          enddo
+        enddo
+      enddo
+!------------------------- End first latitude scan ---------------------
 !
 ! Boundary longitudes:
       f5(:,:,:,1) = dj(:,:,:)
@@ -378,14 +374,12 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       call mp_periodic_f3d(dj(:,lon0:lon1,lat0-1:lat1+1),lev0,lev1,
      |  lon0,lon1,lat0,lat1,1)
 !
-#endif
 !----------------------- Begin second latitude scan --------------------
       do lat=lat0,lat1
         if (debug) 
      |    write(6,"('oplus begin first lat scan: lat=',i3)") lat
         jm2 = lat-2
         jm1 = lat-1
-        j0  = lat
         jp1 = lat+1
         jp2 = lat+2
 !
@@ -439,15 +433,12 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       enddo ! lat=lat0,lat1
 !------------------------ End second latitude scan ---------------------
 !
-#ifdef MPI
-!
 ! Periodic points for bdotdh_opj (output from bdotdh above):
       call mp_periodic_f3d(bdotdh_opj(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
 !
 ! Boundary longitudes for bdotdh_opj (input to below call to bdotdh):
       call mp_bndlons_f3d(bdotdh_opj,nlevs,lon0,lon1,lat0,lat1,1,0)
-#endif
 !
 !----------------------- Begin third latitude scan ---------------------
       do lat=lat0,lat1
@@ -455,7 +446,6 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |    write(6,"('oplus begin third lat scan: lat=',i3)") lat
         jm2 = lat-2
         jm1 = lat-1
-        j0  = lat
         jp1 = lat+1
         jp2 = lat+2
 !
@@ -515,8 +505,8 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
      |      (1./(cs(lat)*dlamda)*(bx(i,lat)*
      |      (bvel(k,i+1,lat)-bvel(k,i-1,lat))+
      |      0.5*(ui(k,i,lat)+ui(k+1,i,lat))*bmod2(i,lat)**2*
-     |      (op(k,i+1,j0)/bmod2(i+1,lat)**2-
-     |       op(k,i-1,j0)/bmod2(i-1,lat)**2))+
+     |      (op(k,i+1,lat)/bmod2(i+1,lat)**2-
+     |       op(k,i-1,lat)/bmod2(i-1,lat)**2))+
 !
      |      1./dphi*(by(i,lat)*(bvel(k,i,jp1)-bvel(k,i,jm1))+
      |      0.5*(vi(k,i,lat)+vi(k+1,i,lat))*bmod2(i,lat)**2*
@@ -539,7 +529,7 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       do i=lon0,lon1
         do k=lev0,lev1-1
           hdz(k,i) = 1./(hj(k,i,lat)*dz)
-          tp1(k,i) = 0.5*(ti(k,i,j0)+te(k,i,j0))
+          tp1(k,i) = 0.5*(ti(k,i,lat)+te(k,i,lat))
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
@@ -629,10 +619,10 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       do i=lonbeg,lonend
         do k=lev0,lev1-1
           explicit(k,i) = explicit(k,i)-(optm1_smooth(k,i,lat)-
-     |      shapiro*
+     |      shapiro/nstep_sub*
      |      (optm1_smooth(k,i+2,lat)+optm1_smooth(k,i-2,lat)-4.*
      |      (optm1_smooth(k,i+1,lat)+optm1_smooth(k,i-1,lat))+6.*
-     |       optm1_smooth(k,i,lat)))*dtx2inv
+     |       optm1_smooth(k,i,lat)))*dtx2inv*nstep_sub
         enddo ! k=lev0,lev1
       enddo ! i=lonbeg,lonend
 
@@ -662,8 +652,8 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! bdotu = B.U (s7)
       do i=lon0,lon1
         do k=lev0,lev1-1
-          bdotu(k,i) = bx(i,lat)*u(k,i,j0)+by(i,lat)*v(k,i,j0)+
-     |      hj(k,i,lat)*bz(i,lat)*0.5*(w(k,i,j0)+w(k+1,i,j0))
+          bdotu(k,i) = bx(i,lat)*u(k,i,lat)+by(i,lat)*v(k,i,lat)+
+     |      hj(k,i,lat)*bz(i,lat)*0.5*(w(k,i,lat)+w(k+1,i,lat))
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !     call addfld('BDOTU' ,' ',' ',bdotu(lev0:lev1-1,:),
@@ -705,7 +695,7 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       do i=lon0,lon1
         do k=lev0,lev1-1
           q_coeff(k,i) = q_coeff(k,i)-bdotu(k,i)*dvb(i,lat)*bz(i,lat)-
-     |      dtx2inv
+     |      dtx2inv*nstep_sub
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !
@@ -747,25 +737,25 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          psi_n2(k,i) = n2(k,i,j0) ! n2 mixing ratio
+          psi_n2(k,i) = n2(k,i,lat) ! n2 mixing ratio
 !
           xiop2p(k,i,lat) = 
      |      0.5*(qop2p(k,i,lat)+qop2p(k+1,i,lat))/((xnmbar(k,i,lat)*
      |      ((rk16+rk17)*psi_n2(k,i)*rmassinv_n2+
-     |      rk18*o1(k,i,j0)*rmassinv_o1))+(rk19(k,i,lat)+rk20(k,i,lat))*
-     |      ne(k,i,j0)+rk21+rk22)
+     |      rk18*o1(k,i,lat)*rmassinv_o1))+
+     |      (rk19(k,i,lat)+rk20(k,i,lat))*ne(k,i,lat)+rk21+rk22)
 ! 
           xiop2d(k,i,lat) = 
      |      (0.5*(qop2d(k,i,lat)+qop2d(k+1,i,lat))+(rk20(k,i,lat)*
-     |      ne(k,i,j0)+rk22)*xiop2p(k,i,lat))/((xnmbar(k,i,lat)*
+     |      ne(k,i,lat)+rk22)*xiop2p(k,i,lat))/((xnmbar(k,i,lat)*
      |      (rk23*psi_n2(k,i)*rmassinv_n2+rk24*
-     |      o1(k,i,j0)*rmassinv_o1+rk26*o2(k,i,j0)*rmassinv_o2))+
-     |      rk25(k,i,lat)*ne(k,i,j0)+rk27)
+     |      o1(k,i,lat)*rmassinv_o1+rk26*o2(k,i,lat)*rmassinv_o2))+
+     |      rk25(k,i,lat)*ne(k,i,lat)+rk27)
 ! 
           op_loss(k,i) = 
-     |      xnmbar(k,i,lat)*(rk1(k,i,lat)*o2(k,i,j0)*rmassinv_o2+
+     |      xnmbar(k,i,lat)*(rk1(k,i,lat)*o2(k,i,lat)*rmassinv_o2+
      |      rk2(k,i,lat)*psi_n2(k,i)*rmassinv_n2+rk10*
-     |      n2d(k,i,j0)*rmassinv_n2d)
+     |      n2d(k,i,lat)*rmassinv_n2d)
 !
           q_coeff(k,i) = q_coeff(k,i)-op_loss(k,i)
         enddo ! k=lev0,lev1-1
@@ -785,8 +775,6 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('OP_TN' ,' ',' ',tn(lev0:lev1,lon0:lon1,lat),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('OP_BARM' ,' ',' ',barm(lev0:lev1,lon0:lon1,lat),
-!    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('OP_RK19' ,' ',' ',rk19(lev0:lev1-1,lon0:lon1,lat),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !     call addfld('OP_RK25' ,' ',' ',rk25(lev0:lev1-1,lon0:lon1,lat),
@@ -797,11 +785,10 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
         do k=lev0,lev1-1
           explicit(k,i) = explicit(k,i)-
      |      0.5*(qop(k,i,lat)+qop(k+1,i,lat))-(rk19(k,i,lat)*
-     |      ne(k,i,j0)+rk21)*
-     |      xiop2p(k,i,lat)-(rk25(k,i,lat)*ne(k,i,j0)+rk27)*
+     |      ne(k,i,lat)+rk21)*
+     |      xiop2p(k,i,lat)-(rk25(k,i,lat)*ne(k,i,lat)+rk27)*
      |      xiop2d(k,i,lat)-(rk18*xiop2p(k,i,lat)+rk24*xiop2d(k,i,lat))*
-     |      o1(k,i,j0)*rmassinv_o1*p0*expz(k)*0.5*(barm(k,i,j0)+
-     |      barm(k+1,i,j0))/(boltz*tn(k,i,j0))
+     |      o1(k,i,lat)*rmassinv_o1*xnmbar(k,i,lat)
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 !     call addfld('EXPLIC4',' ',' ',explicit(lev0:lev1-1,:),
@@ -843,7 +830,7 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 ! Filter updated O+:
 ! 
       call filter_op(opout(:,lon0:lon1,lat0:lat1),
-     |  lev0,lev1,lon0,lon1,lat0,lat1,kut,'OPLUS')
+     |  lev0,lev1,lon0,lon1,lat0,lat1,'OPLUS')
 !
 !----------------------- Begin fourth latitude scan ---------------------
       do lat=lat0,lat1
@@ -892,14 +879,9 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
 !
 ! Report time and location to stdout when opout < opfloor:
 !             if (opout   (k,i,lat) /= 1.e-5) then
-!               ii = i ; if (i > nlon) ii = i-nlon
-!               glondeg = glon(ii)
-!               slt = fslt(dum,secs/3600.,glondeg,1)
 !               write(6,"('OPLUS: enforce O+ min: opout=',e12.4,
-!    |            ' opfloor=',e12.4,' lat,lon=',2f9.2,' zpmid=',f8.2,
-!    |            ' istep=',i5,' uthr=',f8.2,' slt=',f8.2)") 
-!    |            opout(k,i,lat),opfloor,glat(lat),glondeg,zpmid(k),
-!    |            istep,secs/3600.,slt
+!    |            ' opfloor=',e12.4,' lat=',f9.2,' zpmid=',f8.2)") 
+!    |            opout(k,i,lat),opfloor,glat(lat),zpmid(k)
 !             endif ! report if not 1.e-5
 
               opout(k,i,lat) = opfloor
@@ -912,12 +894,13 @@ subroutine oplus(tn,te,ti,o2,o1,n2,he,n2d,ne,u,v,w,barm,ui,vi,wi,
       enddo ! lat=lat0,lat1
 !
 ! Periodic points for outputs:
-#ifdef MPI
       call mp_periodic_f3d(opout(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
       call mp_periodic_f3d(optm1out(:,lon0:lon1,lat0:lat1),
      |  lev0,lev1,lon0,lon1,lat0,lat1,1)
-#endif
+!
+      call mp_bndlats_f3d(opout,nlevs,lon0,lon1,lat0,lat1,1)
+      call mp_bndlons_f3d(opout,nlevs,lon0,lon1,lat0,lat1,1,0)
 !
 ! Save outputs on secondary history for diagnostics:
 !     do lat=lat0,lat1
@@ -1016,33 +999,37 @@ subroutine divb(dvb,lon0,lon1,lat0,lat1)
 !
       end subroutine divb
 !-----------------------------------------------------------------------
-      subroutine rrk(t,rms,ps1,ps2,n2,he,tr,ans,lon0,lon1,lev0,lev1,lat)
+      subroutine rrk(rms,ps1,ps2,n2,he,tr,ans,vni,
+     |  lon0,lon1,lev0,lev1)
 !
-! Returns ambipolar diffusion coefficient in ans.
+! Returns ambipolar diffusion coefficient in ans and vni.
 !
-      use cons_module,only: rmassinv_o2,rmassinv_o1,rmassinv_n2,boltz,
-     |  p0,expz,rmassinv_he
+      use params_module,only: zpint
+      use cons_module,only: rmassinv_o2,rmassinv_o1,rmassinv_n2,
+     |  rmassinv_he
       use input_module,only: colfac,opdiffcap
       use init_module,only: istep
 !
 ! Args:
-      integer,intent(in) :: lon0,lon1,lev0,lev1,lat
+      integer,intent(in) :: lon0,lon1,lev0,lev1
       real,dimension(lev0:lev1,lon0:lon1),intent(in) ::
-     |  t,rms,ps1,ps2,n2,he,tr
-      real,dimension(lev0:lev1,lon0:lon1),intent(out) :: ans
+     |  rms,ps1,ps2,n2,he,tr
+      real,dimension(lev0:lev1,lon0:lon1),intent(out) :: ans,vni
 !
 ! Local:
       integer :: k,i
+      real :: opdiffcap_k
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
 !
 ! 8/28/13 btf: Use n2=1-o2-o-he, and include O+/He collision rate from Wenbin:
 !
-          ans(k,i) = 1.42E17*boltz*t(k,i)/(p0*expz(k)*.5*(rms(k,i)+
-     |      rms(k+1,i))*(ps2(k,i)*rmassinv_o1*sqrt(tr(k,i))*(1.-0.064*
+          vni(k,i) = ps2(k,i)*rmassinv_o1*sqrt(tr(k,i))*(1.-0.064*
      |      alog10(tr(k,i)))**2*colfac+18.6*n2(k,i)*rmassinv_n2+18.1*
-     |      ps1(k,i)*rmassinv_o2+3.6*he(k,i)*rmassinv_he))
+     |      ps1(k,i)*rmassinv_o2+3.6*he(k,i)*rmassinv_he
+          ans(k,i) = 1.42E17/(rms(k,i)*vni(k,i))
+          vni(k,i) = 16*3.53E-11*vni(k,i)
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 !
@@ -1059,21 +1046,27 @@ subroutine rrk(t,rms,ps1,ps2,n2,he,tr,ans,lon0,lon1,lev0,lev1,lat)
       if (opdiffcap /= 0.) then ! default is off
         if (istep==1) write(6,"('oplus rrk: opdiffcap = ',es12.4)") 
      |    opdiffcap
-        where(ans(:,:) > opdiffcap)
-          ans(:,:) = opdiffcap
-        endwhere
+!       where(ans(:,:) > opdiffcap)
+!         ans(:,:) = opdiffcap
+!       endwhere
+        do k=lev0,lev1-1
+          opdiffcap_k = opdiffcap/(1+2**(zpint(k)-6))
+          do i=lon0,lon1
+            if (ans(k,i) > opdiffcap_k) ans(k,i) = opdiffcap_k
+          enddo
+        enddo
       endif
 
       end subroutine rrk
 !-----------------------------------------------------------------------
-      subroutine diffus(tp,en,hj,ans,lon0,lon1,lev0,lev1,lat)
+      subroutine diffus(tp,en,hj,ans,lon0,lon1,lev0,lev1)
 !
 ! Evaluates ans = (d/(h*dz)*tp+m*g/r)*en
 !
       use cons_module,only: rmass_op,grav,gask
 !
 ! Args:
-      integer :: lon0,lon1,lev0,lev1,lat
+      integer :: lon0,lon1,lev0,lev1
       real,dimension(lev0:lev1,lon0:lon1),intent(in) :: tp,en,hj
       real,dimension(lev0:lev1,lon0:lon1),intent(out) :: ans
 !
@@ -1108,7 +1101,7 @@ subroutine bdotdh(phijm1,phij,phijp1,ans,lon0,lon1,lev0,lev1,lat)
 ! Evaluates ans = (b(h)*del(h))*phi
 !
 ! Args:
-      integer :: iperiodic,lon0,lon1,lev0,lev1,lat
+      integer :: lon0,lon1,lev0,lev1,lat
       real,dimension(lev0:lev1,lon0:lon1),intent(in)    :: phijm1,phijp1
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(inout) :: phij
       real,dimension(lev0:lev1,lon0:lon1),intent(out)   :: ans
@@ -1170,28 +1163,21 @@ subroutine bdzdvb(phi,dvb,h,ans,lev0,lev1,lon0,lon1,lat)
       enddo ! i=lon0,lon1
       end subroutine bdzdvb
 !-----------------------------------------------------------------------
-      subroutine filter_op(opout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
+      subroutine filter_op(opout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 !
 ! Filter updated O+. This is called from outside latitude loop,
 ! i.e., once per timestep.
 !
-      use filter_module,only: filter,filter2
-#ifdef MPI
       use mpi_module,only: mytidi,mp_gatherlons_f3d,mp_scatterlons_f3d
-#else
-      integer :: mytidi=0
-#endif
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
-      integer,intent(in) :: kut(nlat)
       real,intent(inout) :: opout(lev0:lev1,lon0:lon1,lat0:lat1)
       character(len=*),intent(in) :: name
 !
 ! Local:
       integer :: i,j,ier
       real :: op_ik(nlonp4,lev0:lev1),op_kij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 124 ; state = 'filter_op' ; activity='Filtering'
@@ -1206,15 +1192,12 @@ subroutine filter_op(opout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
         enddo
       enddo ! j=lat0,lat1
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0 
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(op_kij,lev0,lev1,lon0,lon1,lat0,lat1,1,
      |  name)
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
         if (mytidi==0) then
@@ -1222,20 +1205,13 @@ subroutine filter_op(opout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
 ! Loop through subdomain latitudes:
           latscan: do j=lat0,lat1
 !
-! Define 2d array at all longitudes for filter2:
+! Define 2d array at all longitudes for filter:
             do i=1,nlonp4
               op_ik(i,:) = op_kij(:,i,j)
             enddo ! i=1,nlonp4
 !
-! Do the filtering (requires fft):
-! call filter and/or filter2 according to module logicals callfilt1,callfilt2:
-!
-! If requested, call filter2(), as in composition comp_major and minor:
-            if (callfilt2) call filter2(op_ik,lev0,lev1,kut(j),j)
-!
-! If requested, call filter(), as in dt,duv,etc:
-!
-            if (callfilt1) call filter(op_ik,lev0,lev1,kut(j),j)
+! Do the filtering:
+            call ringfilter(op_ik,lev0,lev1,3,name,j)
 !
 ! Return filtered array to op_kij:
             do i=1,nlonp4
@@ -1243,14 +1219,12 @@ subroutine filter_op(opout,lev0,lev1,lon0,lon1,lat0,lat1,kut,name)
             enddo ! i=1,nlonp4
           enddo latscan ! j=lat0,lat1
         endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
 !
       call mp_scatterlons_f3d(op_kij,lev0,lev1,lon0,lon1,lat0,lat1,1,
      |  name)
-#endif
 !
 ! Return filtered array to opout at task subdomain:
       do j=lat0,lat1
diff --git a/src/output.F b/src/output.F
index 06015ae..f12e5d3 100644
--- a/src/output.F
+++ b/src/output.F
@@ -26,8 +26,6 @@ subroutine outhist(istep,modeltime)
 ! every time step from advance (or from tstwrhist).
 !
       use hist_module,only: iseries_prim,iseries_sech
-      use fields_module,only: itc
-      use timing_module
       implicit none
 !
 ! Args:
@@ -37,7 +35,6 @@ subroutine outhist(istep,modeltime)
       logical :: time2write,
      |  wrprim, newseries_prim,
      |  wrsech, newseries_sech
-      integer :: icount
 !
 ! External:
       logical,external :: wrhist
@@ -78,9 +75,6 @@ subroutine output_hist(istep,newseries)
      |  nhist,       ! number of histories on current file (read/write)
      |  modeltime,   ! current model time (read only)
      |  nhist_total, ! total primary histories to be written (read only)
-     |  nsource,     ! 0/1 number of source files provided (read only)
-     |  nsecsource,  ! 0/1 number of secsource files provided (read only)
-     |  nstep,       ! total number of steps this run
      |  iseries_prim,! current primary time series (read only)
      |  copyhist,    ! subroutine to copy history structures
      |  h,sh
@@ -102,7 +96,7 @@ subroutine output_hist(istep,newseries)
 ! Init:
       diskfile = ' '
       if (iprint > 0) write(6,"(/,72('-'),/,'Primary History Output:',
-     |  ' model time (day,hour,min) = ',4i4)") modeltime
+     |  ' model time (day,hour,min,sec) = ',4i4)") modeltime
       if (ihist_total == 0) then
         iprinthist = 1
       else
@@ -112,7 +106,6 @@ subroutine output_hist(istep,newseries)
 ! 1/13/16 btf: ioutfile is set by readsource (rdsource.F)
 !     if (ihist_total==0) then       ! first history of a run
 !       ioutfile = 0                 ! first history goes on new file
-!       if (nsource==0) ioutfile = 1 ! first history on first output file
 !     endif
 !
       fullfile = .false.
@@ -176,7 +169,7 @@ subroutine output_hist(istep,newseries)
 ! Set source history model time, day and year from user's
 ! namelist read for first history of the intial run.
 ! This may be different than the original source history.
-! (i.e., SOURCE_START may be different than START and START_DAY,
+! (i.e., SOURCE_START may be different than PRISTART and START_DAY,
 !  and START_YEAR may be different that year on the source history)
 !
         sh%modeltime = modeltime
@@ -199,8 +192,8 @@ subroutine output_hist(istep,newseries)
       ihist_total = ihist_total+1
 !
 ! Report to stdout:
-      write(6,"('Wrote primary   history ',i3,',',i2,',',i2,
-     |  ' to ',a,' (',i4,' of ',i4,')')") modeltime(1:3),
+      write(6,"('Wrote primary   history ',i3,',',i2,',',i2,',',i2,
+     |  ' to ',a,' (',i4,' of ',i4,')')") modeltime,
      |  trim(diskfile),ihist_total,nhist_total
 !
 ! Add contents string to the file (as global attribute), and to the
@@ -229,7 +222,6 @@ subroutine output_sechist(newseries)
      |  nsech,       ! number of histories on current file (read/write)
      |  modeltime,   ! current model time (read only)
      |  nsech_total, ! total sech histories to be written (read only)
-     |  nstep,       ! total number of steps this run
      |  iseries_sech ! current secondary time series (read only)
       implicit none
 !
@@ -247,7 +239,7 @@ subroutine output_sechist(newseries)
 ! Init:
       diskfile = ' '
       if (iprint > 0) write(6,"(/,72('-'),/,'Secondary History Output:',
-     |  ' model time (day,hour,min) = ',3i4)") modeltime
+     |  ' model time (day,hour,min,sec) = ',4i4)") modeltime
       if (ihist_total == 0) then
         iprinthist = 1
       else
@@ -310,8 +302,8 @@ subroutine output_sechist(newseries)
       ihist_total = ihist_total+1
 !
 ! Report to stdout:
-      write(6,"('Wrote secondary history ',i3,',',i2,',',i2,
-     |  ' to ',a,' (',i4,' of ',i4,')')") modeltime(1:3),
+      write(6,"('Wrote secondary history ',i3,',',i2,',',i2,',',i2,
+     |  ' to ',a,' (',i4,' of ',i4,')')") modeltime,
      |  trim(diskfile),ihist_total,nsech_total
 !
 ! Add contents string to the file (as global attribute), and to the
@@ -333,21 +325,19 @@ subroutine define_hist(hist_type)
       use params_module,only: tgcm_name,tgcm_version,spval,nlat,
      |  nlon,nlevp1,zibot,zitop,zmbot,zmtop
       use hist_module,only: sh,h,hist_initype,nhist,nsech,modeltime,
-     |  isecout,ioutfile,nsource,nsecsource,iseries_prim,iseries_sech
+     |  isecout,ioutfile,nsource,iseries_prim,iseries_sech
       use input_module,only: output,secout,step,power,ctpoten,kp,
      |  bximf,byimf,bzimf,swvel,swden,al,f107,f107a,tide,tide2,
-     |  colfac,source,hist,sechist,calendar_advance,secsource,
+     |  colfac,source,prihist,sechist,calendar_advance,
      |  gswm_mi_di_ncfile,gswm_mi_sdi_ncfile,gswm_nm_di_ncfile,
-     |  gswm_nm_sdi_ncfile,dynamo,source_start,start,
+     |  gswm_nm_sdi_ncfile,dynamo,source_start,pristart,
      |  gpi_ncfile,see_ncfile,ncep_ncfile,label,imf_ncfile,
      |  saber_ncfile,tidi_ncfile,joulefac,gpi_ncfile,bgrddata_ncfile,
-     |  ctmt_ncfile,
-     |  amienh_ncfile,amiesh_ncfile
+     |  ctmt_ncfile
       use mpi_module,only: ntask
 
-      use init_module,only: logname,host,system,iyear,iday,istep,
-     |  start_mtime
-      use fields_module,only: nf4d_hist,f4d,fsechist
+      use init_module,only: logname,host,system,iyear,iday,istep
+      use fields_module,only: nf4d_hist,f4d
       use cons_module,only: p0,grav
       use aurora_module,only: e1,e2,h1,h2,alfac,ec,alfad,ed
       use gpi_module,only: kp_gpi=>fkp
@@ -357,12 +347,12 @@ subroutine define_hist(hist_type)
       character(len=*),intent(in) :: hist_type ! primary or secondary
 !
 ! Local:
-      integer :: i,ier,imo,ida,sourceyear,sourceday,sourcemtime(3)
+      integer :: i,ier,imo,ida
       character(len=8) :: write_date,write_time
       character(len=80) :: char80
 !
 ! External:
-      integer,external :: mtime_to_mins,mtime_to_nstep
+      integer,external :: mtime_to_secs,mtime_to_nstep
       real,external :: mtime_to_datestr
 !
 ! Init (note hist_initype deallocates h%fnames):
@@ -377,14 +367,14 @@ subroutine define_hist(hist_type)
       else ! continuation run
         h%run_type = 'continuation'
         h%source_file = output(1)
-        h%source_mtime = start(:,1)
+        h%source_mtime = pristart(:,1)
       endif
 !
 ! Define primary or secondary history structure (hist_mod.f):
       select case(hist_type)
         case ('primary')
           h%ihist = nhist
-          h%delhmins = mtime_to_mins(hist(:,iseries_prim))
+          h%delhsecs = mtime_to_secs(prihist(:,iseries_prim))
 
           h%output_file = output(ioutfile)
           call expand_path(h%output_file)
@@ -408,7 +398,7 @@ subroutine define_hist(hist_type)
           h%nfmag2d  = 0    ! no magnetic 2d fields on primary history
         case ('secondary')
           h%ihist = nsech
-          h%delhmins = mtime_to_mins(sechist(:,iseries_sech))
+          h%delhsecs = mtime_to_secs(sechist(:,iseries_sech))
           h%output_file = secout(isecout)
           call expand_path(h%output_file)
         case default
@@ -429,7 +419,7 @@ subroutine define_hist(hist_type)
       h%model_version = tgcm_version
       h%modeltime = modeltime
       h%time = mtime_to_datestr(h%year,h%modeltime,imo,ida,char80)
-      h%iter  = mtime_to_nstep(modeltime(1:3),step)
+      h%iter  = mtime_to_nstep(modeltime,step)
       h%ut    = float(modeltime(2))+float(modeltime(3))/60.+
      |          float(modeltime(4))/3600.
       h%dtide(:)  = tide2(:)
@@ -534,11 +524,6 @@ subroutine define_hist(hist_type)
       if (len_trim(bgrddata_ncfile) == 0) h%bgrddata_ncfile = '[none]'
       h%ctmt_ncfile= ctmt_ncfile
       if (len_trim(ctmt_ncfile) == 0) h%ctmt_ncfile = '[none]'
-      
-      h%amienh_ncfile= amienh_ncfile
-      if (len_trim(amienh_ncfile) == 0) h%amienh_ncfile = '[none]'
-      h%amiesh_ncfile= amiesh_ncfile
-      if (len_trim(amiesh_ncfile) == 0) h%amiesh_ncfile = '[none]'
 
       h%missing_value = spval
       h%nlat = nlat
diff --git a/src/params.F b/src/params.F
index 7464b9b..7c3b553 100644
--- a/src/params.F
+++ b/src/params.F
@@ -10,27 +10,27 @@ module params_module
 ! tiegcmlicense.txt.
 !
 ! Geographic grid parameters:
+      real,parameter ::
+     |  dlat  = DLAT,                ! delta latitude
+     |  glat1 = -90+dlat/2,          ! first latitude
+     |  dlon  = DLON,                ! delta longitude
+     |  glon1 = GLON1,               ! first longitude
+     |  dlev  = DLEV,                ! delta level (same for midpoints and interfaces)
+     |  dz    = dlev,                ! delta level (alias for dlev)
+     |  zitop = ZITOP,               ! top interface level
+     |  zibot = ZIBOT,               ! bottom interface level
+     |  zmtop = zitop+dz/2,          ! top midpoint level
+     |  zmbot = zibot+dz/2           ! bottom midpoint level
       integer,parameter :: 
-     |  nlat = NLAT,                 ! number of latitudes
-     |  nlon = NLON,                 ! number of longitudes
-     |  nlev = NLEV,                 ! number of midpoint levels 
-     |  nilev = NLEV,                ! number of interface levels
+     |  nlat = 180/dlat,             ! number of latitudes
+     |  nlon = 360/dlon,             ! number of longitudes
+     |  nlev = (zitop-zibot)/dlev,   ! number of midpoint levels 
+     |  nilev = nlev,                ! number of interface levels
      |  nlonp4 = nlon+4,             ! includes periodic points in lon
      |  nlevp1 = nlev+1,
      |  nilevp1 = nilev+1,
      |  nlonp1=nlon+1, nlatp1=nlat+1,
      |  nlonp2=nlon+2, nlatp2=nlat+2
-      real,parameter ::
-     |  glat1 = GLAT1,               ! first latitude
-     |  dlat  = DLAT,                ! delta latitude
-     |  glon1 = GLON1,               ! first longitude
-     |  dlon  = DLON,                ! delta longitude
-     |  dlev  = (ZITOP-ZIBOT)/NLEV,  ! delta level (same for midpoints and interfaces)
-     |  dz    = dlev,                ! delta level (alias for dlev)
-     |  zmtop = ZMTOP,               ! top midpoint level
-     |  zmbot = ZMBOT,               ! bottom midpoint level
-     |  zitop = ZITOP,               ! top interface level
-     |  zibot = ZIBOT                ! bottom interface level
       real :: glon(nlon),glat(nlat),zpmid(nlevp1),zpint(nlevp1)
       real,parameter ::
      |  spval = 1.e36
@@ -39,8 +39,9 @@ module params_module
 !
 ! Magnetic grid:
       integer,parameter ::
-     |  nmlat = 97,         ! number of magnetic latitudes
-     |  nmlon = 80,         ! number of magnetic longitudes
+     |  nres_grid = NRES_GRID,
+     |  nmlat = 3*2**nres_grid+1,    ! number of magnetic latitudes
+     |  nmlon = 5*2**(nres_grid-1),  ! number of magnetic longitudes
      |  nmlonp1=nmlon+1,
      |  nmlonp2=nmlon+2,
      |  nmlatp1=nmlat+1,
@@ -50,20 +51,15 @@ module params_module
       real,parameter :: zpibot_dyn = -8.5  ! bottom interface boundary of dynamo
       real,parameter :: dmlev = dlev
 !
-! nmlev_diff = number of levels from zibot down to zpibot_dyn (3 at 5-deg, 6 at 2.5-deg)
-! nmlevp1 = total number of mag levels (-2 -> 29 = 32 levels at 5-deg)
+! nmlev_diff = number of levels from zibot down to zpibot_dyn
+! nmlevp1 = total number of mag levels
 !
       integer,parameter ::
      |  nmlev_diff = int((zibot-zpibot_dyn)/dlev), 
      |  nmlevp1 = nlevp1+nmlev_diff, 
      |  nimlevp1= nmlevp1
 !
-! At 5-deg resolution:
-!   mlev0 = -2, mlev1 = nlevp1 = 29
-! At 2.5-deg resolution:
-!   mlev0 = -5, mlev1 = nlevp1 = 57
-!
-      integer,parameter :: mlev0 = 1 - nmlev_diff ! (-2 at 5-deg, -5 at 2.5-deg)
+      integer,parameter :: mlev0 = 1 - nmlev_diff
       integer,parameter :: mlev1 = nlevp1
 
       real :: gmlon(nmlonp1), ! magnetic longitude (deg)
diff --git a/src/pdynamo.F b/src/pdynamo.F
index 0f087a6..b98dd60 100644
--- a/src/pdynamo.F
+++ b/src/pdynamo.F
@@ -8,7 +8,8 @@ module pdynamo_module
 !
 !
       use params_module,only: nmlevp1,nmlon,nmlonp1,nlon,nlonp4,nlat,
-     |  nmlat,gmlat,nmlath,nlev,nlevp1,mlev0,mlev1,nmlev_diff,dlat,spval
+     |  nres_grid,nmlat,gmlat,nmlath,nlev,nlevp1,mlev0,mlev1,nmlev_diff,
+     |  dlat,spval
       use addfld_module,only: addfld
       use mpitime_module,only: mpi_timer
       use mpi_module,only: mlat0,mlat1,mlon0,mlon1,lon0,lon1,lat0,lat1,
@@ -39,10 +40,8 @@ module pdynamo_module
      |  rhs,        ! right-hand side
      |  phimsolv,   ! solution direct from solver (nhem only)
      |  phim2d      ! solution with phihm and both nhem and shem
-#if defined(INTERCOMM) || defined(CISMAH)
       real,allocatable,dimension(:,:),save :: 
      |  zigm1, nsrhs
-#endif
 !
 ! 3d potential and electric field on mag subdomains (see sub pthreed):
 ! (mlon0:mlon1,mlat0:mlat1,mlev0:mlev1)
@@ -80,11 +79,7 @@ module pdynamo_module
 !
 ! Global longitude values near mag equator and poles for complete_integrals and rhs.
 ! The nf2d 6 fields are: zigm11,zigm22,zigmc,zigm2,rim1,rim2
-#if defined(INTERCOMM) || defined(CISMAH)
-      integer,parameter :: nf2d=7        ! 7 2d fields for CISM
-#else
-      integer,parameter :: nf2d=6        ! 6 2d fields
-#endif
+      integer,parameter :: nf2d=7        ! 7 2d fields for MAGE
       real :: feq_jpm1(nmlonp1,2,nf2d)   ! 6 fields at 2 lats (eq-1, eq+1)
       real :: fpole_jpm2(nmlonp1,4,nf2d) ! fields at S pole+1,2 and N pole-1,2
 !
@@ -101,15 +96,8 @@ module pdynamo_module
 ! Dimensions of the 5 grid resolutions for the multi-grid PDE:
       integer,parameter ::
      |  nmlon0=nmlon+1,
-     |  nmlat0=(nmlat+1)/2,
-     |  nmlon1=(nmlon0+1)/2,
-     |  nmlat1=(nmlat0+1)/2,
-     |  nmlon2=(nmlon1+1)/2,
-     |  nmlat2=(nmlat1+1)/2,
-     |  nmlon3=(nmlon2+1)/2,
-     |  nmlat3=(nmlat2+1)/2,
-     |  nmlon4=(nmlon3+1)/2,
-     |  nmlat4=(nmlat3+1)/2
+     |  nmlat0=(nmlat+1)/2
+      integer,dimension(nres_grid-1) :: nmlon_mud,nmlat_mud
 !
 ! Unmodified coefficients for using modified mudpack:
       real,dimension(nmlon0,nmlat0,9) :: cofum
@@ -117,9 +105,7 @@ module pdynamo_module
 ! Space needed for descretized coefficients of of dynamo pde at all
 !   5 levels of resolution:
 !
-      integer,parameter ::
-     |  ncee=10*nmlon0*nmlat0+9*(nmlon1*nmlat1+nmlon2*nmlat2+nmlon3*
-     |    nmlat3+nmlon4*nmlat4)
+      integer :: ncee
 !
 ! Coefficients are stored in 1-d array cee(ncee)
 ! cee transmits descretized dynamo PDE coefficients to the multi-grid
@@ -127,18 +113,11 @@ module pdynamo_module
 ! The common block /cee_com/ is retained from earlier versions because
 !   of the equivalencing below of coefficient arrays c0, c1, etc.
 !
-      real :: cee(ncee)
-      common/cee_com/ cee
+      real,dimension(:),allocatable,target :: cee
+!     common/cee_com/ cee
 !
 ! The following parameters nc0,nc1,... are pointers to the beginning of
 !   the coefficients for each level of resolution.
-!
-      integer,parameter ::
-     | nc0=1,
-     | nc1=nc0+10*nmlon0*nmlat0,
-     | nc2=nc1+9 *nmlon1*nmlat1,
-     | nc3=nc2+9 *nmlon2*nmlat2,
-     | nc4=nc3+9 *nmlon3*nmlat3
 !
 ! nc(1:6) are pointers to beginning of coefficient blocks at each of
 !   5 levels of resolution:
@@ -148,21 +127,10 @@ module pdynamo_module
 ! nc(6) = ncee, the dimension of the entire cee array, containing
 !   coefficients for all 5 levels of resolution.
 !
-      integer :: nc(6)
+      integer :: nc(nres_grid+1)
       integer :: mlevtop ! for saving mag fields to sechist
 
-      real ::
-     |  c0(nmlon0,nmlat0,10),
-     |  c1(nmlon1,nmlat1,9),
-     |  c2(nmlon2,nmlat2,9),
-     |  c3(nmlon3,nmlat3,9),
-     |  c4(nmlon4,nmlat4,9)
-      equivalence
-     |  (cee,c0),
-     |  (cee(nc1),c1),
-     |  (cee(nc2),c2),
-     |  (cee(nc3),c3),
-     |  (cee(nc4),c4)
+      real,dimension(:,:,:),pointer :: c0
 
       logical :: debug = .false.
 
@@ -172,7 +140,7 @@ module pdynamo_module
 !-----------------------------------------------------------------------
       subroutine pdynamo
       use mpi_module,only: mytid,mp_scatter_coeffs,mp_scatter_phim,
-     |  mp_mag_halos,mp_gather_pdyn
+     |  mp_mag_halos,mp_gather_pdyn,mp_bcast_real
       use diags_module,only: mkdiag_PHIM2D
 !     use solver_module,only: solve_using_pcg
 !
@@ -194,9 +162,7 @@ subroutine pdynamo
 ! (Sub dynamo_inputs has already been called from advance)
 !
 ! Local:
-      integer :: i,j,n,ier,lonend
       real :: coefglb_rhs(nmlonp1,nmlat),coefglb_cofum(nmlonp1,nmlat,9)
-      character(len=16) :: cofum_name
 !
 ! Latitude index to mag equator (module data)
       jlateq = (nmlat+1)/2   ! index to mag equator (module data)
@@ -251,6 +217,13 @@ subroutine pdynamo
         coefglb_cofum(:,1:nmlath,:) = cofum(:,:,:)
       endif
 !
+! Pham, 2018
+! This broadcast the new MIX phihm to all processors
+! the MIX phihm was transformed only on root task
+#ifdef GAMERA
+      call mp_bcast_real(phihm,nmlonp1*nmlat,0)
+#endif
+!
 ! rim1 after solver is needed for highlat_poten. rim_glb is distributed 
 ! to subdomains as rim1, and mag halos set. This will overwrite rim1 from 
 ! fieldline_integrals, complete_integrals, etc.
@@ -320,10 +293,8 @@ subroutine pdynamo
 
 ! calculate residual on subdomain      .
 !     l2norm = 0.
-!     lonend = mlon1
-!     if (mlon1 == nmlon+1) lonend = mlon1-1     .
 !     do j = mlat0,mlat1
-!       do i = mlon0,lonend
+!       do i = mlon0,mlon1
 !         ressolv(i,j) = coef_rhs(i,j)-ressolv(i,j)
 !         l2norm = l2norm + ressolv(i,j)*ressolv(i,j)	  
 !       enddo
@@ -339,15 +310,12 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
 ! Provide needed field inputs to the dynamo by regridding the fields
 ! from geo to mag.
 !
-      use params_module,only: dlev,zpbot_dyn,zibot
-      use cons_module,only: h0,dtr
+      use cons_module,only: h0
       use magfield_module,only: zb,bmod
       use mpi_module,only: mp_mageq,mp_periodic_f3d,mp_periodic_f2d,
      |  mp_magpole_3d
-      use mpi_module,only: tasks,nmagtaski,mytid ! only for check
 
-      use my_esmf,only: 
-     |  geo_src_grid, mag_des_grid, esmf_regrid,
+      use my_esmf,only: esmf_regrid,
      |  esmf_set2d_geo, esmf_get_2dfield,
      |  esmf_set3d_geo, esmf_get_3dfield
 
@@ -362,14 +330,13 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
      |  mag_je1pg, mag_je2pg, esmf_3dfields
       use my_esmf,only: ! esmf 2d (i,j) fields on mag grid
      |  mag_sini, mag_adota1, mag_adota2, mag_a1dta2, mag_be3
-      use params_module,only: glat,glon
 
       use magpres_g,only: ! (nlevp1,lon0:lon1,lat0:lat1)
      |  je1oD_geo,  ! J_e1(pg)/D [A/cm^2] 
      |  je2oD_geo   ! J_e2(pg)/D [A/cm^2]
 !
 ! Args:
-      integer :: lev0,lev1,lon0,lon1,lat0,lat1,rc,lonbeg,lonend
+      integer :: lev0,lev1,lon0,lon1,lat0,lat1,lonbeg,lonend
       real,dimension(lev0:lev1,lon0:lon1,lat0:lat1),intent(in)::
      |  un,   ! neutral zonal velocity (cm/s)
      |  vn,   ! neutral meridional velocity (cm/s)
@@ -383,7 +350,7 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
 ! Local:
       integer :: i,j,k
 !
-! 3d locals dimensioned mlev0:mlev1 (mlev0 = -2 at 5-deg, -5 at 2.5-deg)
+! 3d locals dimensioned mlev0:mlev1
       real,dimension(mlev0:mlev1,lon0:lon1,lat0:lat1) ::
      |  undyn,vndyn,wndyn,zpotdyn,peddyn,haldyn
 
@@ -393,7 +360,6 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
       real,dimension(lon0:lon1,lat0:lat1) :: 
      |  sini,adota1,adota2,a1dta2,be3
       real,dimension(lon0:lon1,lat0:lat1,4) :: f2d
-      real,parameter :: unitvm(nmlon)=1.
 !
 ! Set constants:
 !   rl1,rl2 are rates at which sigma1 and sigma2 decay with height
@@ -418,11 +384,8 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
 !
 ! mlevtop is for saving mag fields with addfld, see below: 
 !   (actually mlevtop one level below the top):
-!   At 5.0-deg: mlev0,mlev1 = -2,29 mag_field(81,97,mlev0:mlev1)
-!   At 2.5-deg: mlev0,mlev1 = -5,57 mag_field(81,97,mlev0:mlev1)
 !
-      mlevtop = mlev1+2                  ! 5.0-deg (mlev1=57)
-      if (dlat == 2.5) mlevtop = mlev1+5 ! 2.5-deg (mlev1=63)
+      mlevtop = mlev1-mlev0
 !
 ! First, transfer lev0:lev1 (and all geo i,j) from inputs to xxxdyn:
       do j=lat0,lat1
@@ -439,7 +402,6 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
           enddo ! k=lev0,lev1
 !
 ! Extend neutral atmosphere inputs down to mlev0 (zpbot_dyn=-8.5)
-! At 5-deg res, this will be k=0,-2, and at 2.5-deg res, k=0,-5.
 ! Set three equally spaced levels for Z, take U, V, and W
 ! to be constant, and extrapolate sigmas exponentially.
 !
@@ -556,7 +518,7 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
       esmf_3dfields(6) = geo_je1pg
       esmf_3dfields(7) = geo_je2pg
 
-      call esmf_set3d_geo(esmf_3dfields,fnames,
+      call esmf_set3d_geo(esmf_3dfields,
      |  f3d,7,mlev0,mlev1,lon0,lon1,lat0,lat1)
 
       geo_ped    = esmf_3dfields(1)
@@ -590,16 +552,11 @@ subroutine dynamo_inputs(un,vn,wn,zpot,ped,hal,
 ! Set 2d field values on geographic grid:
 ! (esmf fields on source grid exclude periodic points)
 !
-        call esmf_set2d_geo(geo_sini,  geo_src_grid,'SINI    ',
-     |    sini,  lon0,lon1,lat0,lat1)
-        call esmf_set2d_geo(geo_adota1,geo_src_grid,'ADOTA1  ',
-     |    adota1,lon0,lon1,lat0,lat1)
-        call esmf_set2d_geo(geo_adota2,geo_src_grid,'ADOTA2  ',
-     |    adota2,lon0,lon1,lat0,lat1)
-        call esmf_set2d_geo(geo_a1dta2,geo_src_grid,'A1DTA2  ',
-     |    a1dta2,lon0,lon1,lat0,lat1)
-        call esmf_set2d_geo(geo_be3,   geo_src_grid,'BE3     ',
-     |    be3,   lon0,lon1,lat0,lat1)
+        call esmf_set2d_geo(geo_sini,sini,lon0,lon1,lat0,lat1)
+        call esmf_set2d_geo(geo_adota1,adota1,lon0,lon1,lat0,lat1)
+        call esmf_set2d_geo(geo_adota2,adota2,lon0,lon1,lat0,lat1)
+        call esmf_set2d_geo(geo_a1dta2,a1dta2,lon0,lon1,lat0,lat1)
+        call esmf_set2d_geo(geo_be3,be3,lon0,lon1,lat0,lat1)
       endif
 !
 ! Save original fields on geographic grid to secondary histories:
@@ -899,16 +856,15 @@ subroutine calc_adotv(z,un,vn,wn,adotv1,adotv2,adota1,adota2,
       end subroutine calc_adotv
 !-----------------------------------------------------------------------
       subroutine fieldline_integrals
-      use cons_module,only: ylatm,r0,h0,re
+      use cons_module,only: ylatm,r0,re
 !
 ! Local:
-      integer :: ier,i,j,k
+      integer :: i,j,k
       real :: sinlm, clm2, absinim, ra, sqomrra, sqrra, afac, htfac
-      real :: rora,del,omdel,sig1,sig2,ue1,ue2,jgr,jmp,fac,je1pg,je2pg
-      real,dimension(mlon0:mlon1) :: sindm, cosdm, ram, aam, cosiam,
-     |  csthdam, rtadram
-      real,dimension(mlon0:mlon1,mlev0:mlev1) :: rrm, sinidm, cosidm,
-     |  costhdm, rtramrm, htfunc, htfunc2, je1pg_diag,je2pg_diag
+      real :: rora,del,omdel,sig1,sig2,ue1,ue2,fac,je1pg,je2pg
+      real,dimension(mlon0:mlon1) :: aam
+      real,dimension(mlon0:mlon1,mlev0:mlev1) ::
+     |  rrm, rtramrm, htfunc, htfunc2, je1pg_diag,je2pg_diag
 !
 ! Initialize coefficients:
       zigm11 = 0.
@@ -917,9 +873,7 @@ subroutine fieldline_integrals
       zigmc  = 0.
       rim1   = 0.
       rim2   = 0.
-#if defined(INTERCOMM) || defined(CISMAH)
       zigm1  = 0.
-#endif 
 
       je1pg_diag  = 0.
       je2pg_diag  = 0.
@@ -1034,9 +988,7 @@ subroutine fieldline_integrals
 !
             zigmc(i,j) = zigmc(i,j) + sig1*rtramrm(i,k)*htfunc(i,k)
             zigm2(i,j) = zigm2(i,j) + sig2*rtramrm(i,k)*htfunc(i,k)
-#if defined(INTERCOMM) || defined(CISMAH)
             zigm1(i,j) = zigm1(i,j) + sig1*rtramrm(i,k)*htfunc(i,k)
-#endif
 
 ! 
 ! rim1: int [sigma_p*d_1^2/D u_e2+(sigma_h-(sigma_p*d_1*d_2)/D) u_e1] ds
@@ -1097,9 +1049,7 @@ subroutine fieldline_integrals
           zigm22(i,j) = 1.e-2*zigm22(i,j)*aam(i)*adota2_mag(i,j)
           zigmc(i,j)  = 1.e-2*zigmc (i,j)*aam(i)*a1dta2_mag(i,j)
           zigm2(i,j)  = 1.e-2*zigm2 (i,j)*aam(i)
-#if defined(INTERCOMM) || defined(CISMAH)
           zigm1(i,j)  = 1.e-2*zigm1(i,j)*aam(i)
-#endif
           rim1(i,j)   = 1.e-2*rim1(i,j)*aam(i)*be3_mag(i,j)
           rim2(i,j)   = 1.e-2*rim2(i,j)*aam(i)*be3_mag(i,j)
         enddo ! i = 1,nmlon
@@ -1167,14 +1117,12 @@ subroutine alloc_pdyn
       allocate(phim2d(mlon00:mlon11,mlat00:mlat11),stat=istat)
       if (istat /= 0) call shutdown('alloc_pdyn: phim2d')
       phim2d = 0.
-#if defined(INTERCOMM) || defined(CISMAH)
       allocate(zigm1(mlon00:mlon11,mlat00:mlat11),stat=istat)
       if (istat /= 0) call shutdown('alloc_pdyn: zigm1')
       zigm1 = 0.
       allocate(nsrhs(mlon00:mlon11,mlat00:mlat11),stat=istat)
       if (istat /= 0) call shutdown('alloc_pdyn: nsrhs')
       nsrhs = 0.
-#endif
 !
 ! 3d phim and electric field on mag subdomains:
       allocate(phim3d(mlon0:mlon1,mlat0:mlat1,mlev0:mlev1),stat=istat)
@@ -1260,7 +1208,28 @@ subroutine alloc_pdyn
       allocate(ressolv(mlon0:mlon1,mlat0:mlat1),stat=istat)
       if (istat /= 0) call shutdown('alloc_pdyn: ressolv')
       ressolv = 0. 
-        
+!
+! calculate constants
+      nmlon_mud(1) = (nmlon0+1)/2
+      nmlat_mud(1) = (nmlat0+1)/2
+      do n = 2,nres_grid-1
+        nmlon_mud(n) = (nmlon_mud(n-1)+1)/2
+        nmlat_mud(n) = (nmlat_mud(n-1)+1)/2
+      enddo
+!
+      nc(1) = 1
+      nc(2) = nc(1)+10*nmlon0*nmlat0
+      do n = 1,nres_grid-1
+        nc(n+2) = nc(n+1)+9*nmlon_mud(n)*nmlat_mud(n)
+      enddo
+      ncee = nc(nres_grid+1)
+!
+      allocate(cee(ncee),stat=istat)
+      if (istat /= 0) call shutdown('alloc_pdyn: cee')
+      cee = 0.
+!
+      c0(1:nmlon0,1:nmlat0,1:10) => cee(nc(1):nc(2)-1)
+!
       end subroutine alloc_pdyn
 !-----------------------------------------------------------------------
       subroutine complete_integrals
@@ -1277,18 +1246,17 @@ subroutine complete_integrals
       use cons_module,only: rcos0s,dt1dts
       use mpi_module,only: mp_mageq_jpm1,mp_magpole_2d,mp_mag_foldhem
       use mpi_module,only: mytid
-#if defined(INTERCOMM) || defined(CISMAH)
       use mpi_module,only: mp_mag_halos
-      use cism_coupling_module,only: gzigm1,gzigm2,gnsrhs,cism_ucurrent
+      use fields_module,only: gzigm1,gzigm2,gnsrhs
+      use mage_coupling_module,only: mage_ucurrent
       use my_esmf,only: 
      |  mag_zigm1, mag_zigm2, mag_nsrhs,
      |  geo_zigm1, geo_zigm2, geo_nsrhs
-#endif
 
       implicit none
 !
 ! Local:
-      integer :: i,ii,j,ifld,lonend
+      integer :: i,ii,j,lonend
       real :: fmsub(mlon0:mlon1,mlat0:mlat1,nf2d)
       real :: corfac
       real,parameter :: unitvm(nmlon)=1.
@@ -1313,9 +1281,7 @@ subroutine complete_integrals
       fmsub(:,:,4) = zigm2 (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,5) = rim1  (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,6) = rim2  (mlon0:mlon1,mlat0:mlat1)
-#if defined(INTERCOMM) || defined(CISMAH)
       fmsub(:,:,7) = zigm1(mlon0:mlon1,mlat0:mlat1)
-#endif
 
       call mp_mageq_jpm1(fmsub,mlon0,mlon1,mlat0,mlat1,nmlonp1,
      |  feq_jpm1,nf2d)
@@ -1356,10 +1322,8 @@ subroutine complete_integrals
      |                                  feq_jpm1(mlon0:mlon1,2,5))
           rim2  (mlon0:mlon1,j) = .060*(feq_jpm1(mlon0:mlon1,1,6)+
      |                                  feq_jpm1(mlon0:mlon1,2,6))
-#if defined(INTERCOMM) || defined(CISMAH)
           zigm1(mlon0:mlon1,j) = .060*(feq_jpm1(mlon0:mlon1,1,7)+
      |                                  feq_jpm1(mlon0:mlon1,2,7))
-#endif
 
 !
 ! Include the boundary condition at the equator eq.(5.30) in
@@ -1459,9 +1423,7 @@ subroutine complete_integrals
       fmsub(:,:,4) = zigm2 (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,5) = rim1  (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,6) = rim2  (mlon0:mlon1,mlat0:mlat1)
-#if defined(INTERCOMM) || defined(CISMAH)
       fmsub(:,:,7) = zigm1 (mlon0:mlon1,mlat0:mlat1)
-#endif
 !
 ! mp_magpole_2d returns fpole_jpm2(nmlonp1,1->4,nf) as:
 !   1: j = 2       (spole+1)
@@ -1515,12 +1477,10 @@ subroutine complete_integrals
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,1,4))-
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,2,4)))/
      |      (3.*float(nmlon))
-#if defined(INTERCOMM) || defined(CISMAH)
           zigm1(mlon0,j) = (4.*
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,1,7))-
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,2,7)))/
      |      (3.*float(nmlon))
-#endif
 !
 ! Extend south pole over longitude:
           do i=mlon0+1,mlon1
@@ -1528,9 +1488,7 @@ subroutine complete_integrals
             zigm22(i,j) = zigm22(mlon0,j)
             zigmc (i,j) = zigmc (mlon0,j)
             zigm2 (i,j) = zigm2 (mlon0,j)
-#if defined(INTERCOMM) || defined(CISMAH)
             zigm1 (i,j) = zigm1 (mlon0,j)
-#endif
           enddo ! i=mlon0,mlon1
 !
 ! RHS vector (I_1,I_2): average over south pole:
@@ -1561,12 +1519,10 @@ subroutine complete_integrals
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,3,4))-
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,4,4)))/
      |      (3.*float(nmlon))
-#if defined(INTERCOMM) || defined(CISMAH)
           zigm1(mlon0,j) = (4.*
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,3,7))-
      |      sddot(nmlon,unitvm,fpole_jpm2(1:nmlon,4,7)))/
      |      (3.*float(nmlon))
-#endif
 !
 ! Extend north pole over longitude:
           do i=mlon0+1,mlon1
@@ -1574,9 +1530,7 @@ subroutine complete_integrals
             zigm22(i,j) = zigm22(mlon0,j)
             zigmc (i,j) = zigmc (mlon0,j)
             zigm2 (i,j) = zigm2 (mlon0,j)
-#if defined(INTERCOMM) || defined(CISMAH)
             zigm1 (i,j) = zigm1 (mlon0,j)
-#endif
           enddo ! i=mlon0,mlon1
 !
 ! RHS vector (I_1,I_2): average over north pole:
@@ -1610,31 +1564,28 @@ subroutine complete_integrals
 !    |  rim2(mlon0:mlon1,mlat0:mlat1),'mlon',mlon0,mlon1,
 !    |  'mlat',mlat0,mlat1,0)
 
-#if defined(INTERCOMM) || defined(CISMAH)
 !
-!
-! Calculate global neutral winds generated current to transfer to CISM M-I couplier
+! Calculate global neutral winds generated current to transfer to MAGE M-I couplier
 !
 
       call mp_mag_halos(rim1,mlon0,mlon1,mlat0,mlat1,1,1)
       call mp_mag_halos(rim2,mlon0,mlon1,mlat0,mlat1,1,1) 
 
-      call cism_ucurrent(rim1,rim2,mlon0,mlon1,mlat0,mlat1,nsrhs)
+      call mage_ucurrent(rim1,rim2,mlon0,mlon1,mlat0,mlat1,nsrhs)
 
-!     call cism_ucurrent
+!     call mage_ucurrent
 !
 ! Transform height-integrated parameters from APEX coordinates to geographic
-! coordinates to be passed to the M-I coupled in the CISM
+! coordinates to be passed to the M-I coupled in the MAGE
 !
 
-      call mag2geo_2d(zigm1(mlon0:mlon1,mlat0:mlat1),gzigm1,mag_zigm1,
-     |     geo_zigm1,'ZIGM1   ')
-      call mag2geo_2d(zigm2(mlon0:mlon1,mlat0:mlat1),gzigm2,mag_zigm2,
-     |     geo_zigm2,'ZIGM2   ')
-      call mag2geo_2d(nsrhs(mlon0:mlon1,mlat0:mlat1),gnsrhs,mag_nsrhs,
-     |     geo_nsrhs,'NSRHS   ')
+      call mag2geo_2d(zigm1(mlon0:mlon1,mlat0:mlat1),
+     |     gzigm1(lon0:lon1,lat0:lat1),mag_zigm1,geo_zigm1,'ZIGM1   ')
+      call mag2geo_2d(zigm2(mlon0:mlon1,mlat0:mlat1),
+     |     gzigm2(lon0:lon1,lat0:lat1),mag_zigm2,geo_zigm2,'ZIGM2   ')
+      call mag2geo_2d(nsrhs(mlon0:mlon1,mlat0:mlat1),
+     |     gnsrhs(lon0:lon1,lat0:lat1),mag_nsrhs,geo_nsrhs,'NSRHS   ')
 
-#endif
 !
 ! Set coefficients for current density calculations.
 ! Note nosocoef is a stub in current.F90 (but not in the
@@ -1655,9 +1606,8 @@ subroutine complete_integrals
       fmsub(:,:,4) = zigm2 (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,5) = rim1  (mlon0:mlon1,mlat0:mlat1)
       fmsub(:,:,6) = rim2  (mlon0:mlon1,mlat0:mlat1)
-#if defined(INTERCOMM) || defined(CISMAH)
       fmsub(:,:,7) = zigm1 (mlon0:mlon1,mlat0:mlat1)
-#endif
+
       call mp_mag_foldhem(fmsub,mlon0,mlon1,mlat0,mlat1,nf2d)
       call mp_mag_periodic_f2d(fmsub,mlon0,mlon1,mlat0,mlat1,nf2d) 
 
@@ -1667,9 +1617,7 @@ subroutine complete_integrals
       zigm2 (mlon0:mlon1,mlat0:mlat1) = fmsub(:,:,4)
       rim1  (mlon0:mlon1,mlat0:mlat1) = fmsub(:,:,5)
       rim2  (mlon0:mlon1,mlat0:mlat1) = fmsub(:,:,6)
-#if defined(INTERCOMM) || defined(CISMAH)
       zigm1 (mlon0:mlon1,mlat0:mlat1) = fmsub(:,:,7)
-#endif
 !
 ! Reverse sign of zigmc in northern hemisphere.
       do j=mlat0,mlat1
@@ -1714,7 +1662,7 @@ subroutine rhspde
 !   by sub complete_integrals.
 !
 ! Local:
-      integer :: j,i,ii
+      integer :: j,i
       real :: pi
       real,dimension(nmlat) :: tint1
       real,parameter :: unitvm(nmlon)=1.
@@ -1985,11 +1933,6 @@ subroutine highlat_poten
 ! Both phihm and pfrac have been set by either heelis or weimer.
 ! phihm is on 2d global mag grid, pfrac is in north hemisphere only
 !
-      use input_module,only: iamie
-      use amie_module,only: pcp_nh_amie,pcp_sh_amie
-      use hist_module,only:   modeltime
-      use init_module,only:   iyear
-      use cons_module,only: dlatm,dlonm,pi_dyn,ylatm,rtd,crit
 ! Local:
       logical,parameter :: mod_heelis = .false.   ! true == modified
       integer :: i,j,jn,js
@@ -2037,7 +1980,7 @@ subroutine pthreed
 ! to geographic grid (sub pefield), and calculation of ion drifts 
 ! by sub ionvel.
 !
-      use cons_module,only: ylatm,h0,re,pi_dyn,table,dlatm,dlonm,rcos0s,
+      use cons_module,only: ylatm,re,pi_dyn,table,dlatm,dlonm,rcos0s,
      |  r0,dt1dts,dt0dts
       use mpi_module,only: mp_mageq_jpm3,mp_magpole_2d,mp_mag_jslot,
      |  mp_mag_halos,mp_magpoles
@@ -2071,7 +2014,7 @@ subroutine pthreed
       real :: ed2i0j0,ed2i1j0,ed2i0j1,ed2i1j1
       real :: ephi0j0,ephi1j0,ephi0j1,ephi1j1
       real :: elam0j0,elam1j0,elam0j1,elam1j1
-      real :: fac_elam   ! accounts for height height variation of referenc eheight elam_2D
+      real :: fac_elam ! accounts for reference height variation elam_2D
 !
 ! External:
       integer,external :: ixfind
@@ -2369,9 +2312,10 @@ subroutine pthreed
 
             thetam(i)=(re+zpotm3d(i,j,mlev0))/(re+zpotm3d(i,j,k))
             thetam(i) = acos(sqrt(thetam(i))*cosltm*(1.-eps))
-	    
-	    fac_elam = tan(ylatm(j))/tan(thetam(i)*sym)  ! for scaling at height other than the reference
-	                                                 ! height tan(lambda_q)/tan(lambda_m); at pole fac_elam=1.
+
+! for scaling at height other than the reference height tan(lambda_q)/tan(lambda_m)
+! at pole fac_elam=1
+            fac_elam = tan(ylatm(j))/tan(thetam(i)*sym)
 
             pslot(i) = thetam(i)*180./pi+1.
             islot(i) = pslot(i)
@@ -2468,8 +2412,8 @@ subroutine pthreed
             elam3d(i,j,k) = (1.-qslot(i))*((1.-pslot(i))*
      |        elam0j0 + pslot(i) * elam1j0) + qslot(i)*((1.-pslot(i))*
      |        elam0j1 + pslot(i) * elam1j1)
-            elam3d(i,j,k) = elam3d(i,j,k)*fac_elam  ! add scaling variation
 
+            elam3d(i,j,k) = elam3d(i,j,k)*fac_elam ! add scaling variation
           enddo ! i=mlon0,mlon1
         enddo ! j=mlat0,mlat1
       enddo ! k=mlev0,mlev1
@@ -2570,23 +2514,19 @@ subroutine pefield
 ! phim3d, otherwise use electric field on mag subdomains from pthreed of 
 ! the previous step.
 !
-      use cons_module,only: dt0dts,dlatm,dlonm,pi,rcos0s,table
-      use mpi_module,only: mp_magpole_3d,mp_mag_halos,mp_magpoles,
-     |  mytid
-      use magfield_module,only: alatm,alonm  ! (nlonp1,0:nlatp1)
+      use cons_module,only: dt0dts,dlatm,dlonm,pi,rcos0s
+      use mpi_module,only: mp_magpole_3d,mp_mag_halos,mp_magpoles
       use my_esmf,only: mag_ephi3d,mag_elam3d,mag_emz3d,
      |                  geo_ephi3d,geo_elam3d,geo_emz3d
       use diags_module,only: mkdiag_EXYZ
       implicit none
 !
 ! Local:
-      integer :: i,ii,j,k,lonbeg,lonend
+      integer :: i,ii,j,k
       real :: fpole3d_jpm2(nmlonp1,4,mlev0:mlev1,1) ! global lons at S pole+1,2 and N pole-1,2
       real :: fpoles(nmlonp1,2,mlev0:mlev1) ! global lons at poles
       real :: phi3d(mlon0-1:mlon1+1,mlat0-1:mlat1+1,mlev0:mlev1)
       real :: csth0
-      integer,dimension(nlonp4) :: islot,jslot
-      real,dimension(nlonp4) :: pslot,qslot,thetam
       real,dimension(lon0:lon1,lat0:lat1,mlev0:mlev1) :: 
      |  exgeo,eygeo,ezgeo
 
@@ -2796,7 +2736,7 @@ subroutine mag2geo_3d(fmag,fgeo,ESMF_mag,ESMF_geo,fname)
       magfields(1) = ESMF_mag
 !
 ! Put fmag into ESMF mag field on mag source grid:
-      call esmf_set3d_mag(magfields,fnames,fmag,1,mlev0,mlev1,
+      call esmf_set3d_mag(magfields,fmag,1,mlev0,mlev1,
      |  mlon0,mlon1,mlat0,mlat1)
 !
 ! Regrid to geographic destination grid, defining ESMF_geo:
@@ -2813,7 +2753,6 @@ subroutine mag2geo_3d(fmag,fgeo,ESMF_mag,ESMF_geo,fname)
       end subroutine mag2geo_3d
 !-----------------------------------------------------------------------
 !
-#if defined(INTERCOMM) || defined(CISMAH)
       subroutine mag2geo_2d(fmag,fgeo,ESMF_mag,ESMF_geo,fname)
 !
 ! Convert field on geomagnetic grid fmag to geographic grid in fgeo.
@@ -2838,8 +2777,7 @@ subroutine mag2geo_2d(fmag,fgeo,ESMF_mag,ESMF_geo,fname)
       magfields(1) = ESMF_mag
 !
 ! Put fmag into ESMF mag field on mag source grid:
-      call esmf_set2d_mag(magfields,fnames,fmag,1,
-     |  mlon0,mlon1,mlat0,mlat1)
+      call esmf_set2d_mag(magfields,fmag,1,mlon0,mlon1,mlat0,mlat1)
 !
 ! Regrid to geographic destination grid, defining ESMF_geo:
       call esmf_regrid(ESMF_mag,ESMF_geo,'mag2geo',2)
@@ -2853,7 +2791,6 @@ subroutine mag2geo_2d(fmag,fgeo,ESMF_mag,ESMF_geo,fname)
       enddo
 
       end subroutine mag2geo_2d
-#endif
 !-----------------------------------------------------------------------
       subroutine geo2mag_3d(fgeo,fmag,ESMF_geo,ESMF_mag,fname)
 !
@@ -2869,12 +2806,11 @@ subroutine geo2mag_3d(fgeo,fmag,ESMF_geo,ESMF_mag,fname)
       real,intent(out) :: fmag(mlon0:mlon1,mlat0:mlat1,mlev0:mlev1)
 !
 ! Local:
-      integer :: j,k
+      integer :: j
       character(len=8) :: fnames(1)
       type(ESMF_Field) :: geofields(1)
       real,pointer,dimension(:,:,:) :: fptr
       real :: fgeotmp(mlev0:mlev1,lon0:lon1,lat0:lat1)
-      integer :: lbnd(3),ubnd(3)
 
 !     do j=lat0,lat1
 !       write(6,"('geo2mag_3d: j=',i4,' fgeo(:,lon0:lon1,j)=',
@@ -2899,7 +2835,7 @@ subroutine geo2mag_3d(fgeo,fmag,ESMF_geo,ESMF_mag,fname)
 ! Note esmf_set3d_geo will change dimension order from input 
 !   fgeotmp(k,i,j) to output ESMF_geo(i,j,k).
 !
-      call esmf_set3d_geo(geofields,fnames,fgeotmp,1,mlev0,mlev1,
+      call esmf_set3d_geo(geofields,fgeotmp,1,mlev0,mlev1,
      |  lon0,lon1,lat0,lat1)
 !
 ! Get ESMF_geo and print bounds and min,max of levels 1,nlevp1:
@@ -2961,7 +2897,7 @@ subroutine prepare_phig3d(wrprim,wrsech)
 !
       do j=lat0,lat1
         do i=lon0,lon1
-          poten(:,i,j,itc) = phig3d(i,j,:)
+          poten(:,i,j,itc) = phig3d(i,j,1:mlev1)
         enddo
       enddo
 
@@ -2984,26 +2920,12 @@ subroutine define_phim3d(ixt)
 ! Args:
       integer,intent(in) :: ixt
 !
-! Local:
-      integer :: j
-!
 ! Define phim3d from poten if doing dynamo:
 ! (poten was read from source history)
 
-!     do j=lat0,lat1
-!       write(6,"('define_phim3d: j=',i4,' poten(:,lon0:lon1,j,ixt)=',
-!    |    2e12.4)") j,minval(poten(:,lon0:lon1,j,ixt)),
-!    |                maxval(poten(:,lon0:lon1,j,ixt))
-!     enddo
-
       call geo2mag_3d(poten(:,lon0:lon1,lat0:lat1,ixt),
      |  phim3d,geo_ped,mag_ped,'PHIG3D  ')
 
-!     do j=mlat0,mlat1
-!       write(6,"('define_phim3d: j=',i3,' phim3d(:,j,:) min,max=',
-!    |    2e12.4)") j,minval(phim3d(:,j,:)),maxval(phim3d(:,j,:))
-!     enddo
-
       end subroutine define_phim3d
 !-----------------------------------------------------------------------
 !
@@ -3024,15 +2946,10 @@ subroutine stencils
       real :: cs(nmlat0)
       real :: c0_plt(nmlonp1,nmlat,10)
       real :: cofum_plt(nmlonp1,nmlat,9)
+      real,dimension(:,:,:),pointer :: cp
 !
 ! Set index array nc and magnetic latitude cosine array:
 ! nc pointes to the start of the coefficient array for each level
-      nc(1) = nc0
-      nc(2) = nc1
-      nc(3) = nc2
-      nc(4) = nc3
-      nc(5) = nc4
-      nc(6) = ncee
 
       do j=1,nmlat0
         cs(j) = cos(pi_dyn/2.-(nmlat0-j)*dlatm)
@@ -3111,19 +3028,19 @@ subroutine stencils
 !
 ! Sigma_(phi phi)/( cos(lam_m)*dt0dts*(Delta lon)^2 ) 
       sym = 1.
-      call stencmd(zigm11_glb,cs,nmlon0,nmlat0,sym,cee,1)
+      call stencmd(zigm11_glb,nmlon0,nmlat0,sym,cee,1)
 !
 ! Sigma_(lam lam)*cos(lam_m)*dt0dts/(Delta lam)^2
       sym = 1.
-      call stencmd(zigm22_glb,cs,nmlon0,nmlat0,sym,cee,4)
+      call stencmd(zigm22_glb,nmlon0,nmlat0,sym,cee,4)
 !
 ! Sigma_(phi lam)/( 4*Delta lam* Delta lon )
       sym = -1.
-      call stencmd(zigmc_glb,cs,nmlon0,nmlat0,sym,cee,2)
+      call stencmd(zigmc_glb,nmlon0,nmlat0,sym,cee,2)
 !
 ! Sigma_(lam phi)/( 4*Delta lam* Delta lon )
       sym = -1.
-      call stencmd(zigm2_glb,cs,nmlon0,nmlat0,sym,cee,3)
+      call stencmd(zigm2_glb,nmlon0,nmlat0,sym,cee,3)
 !
 ! Insert RHS in finest stencil (formerly sub rths):
       do j = 1,nmlat0
@@ -3136,34 +3053,34 @@ subroutine stencils
 !
 ! Set boundary condition at the pole:
       call edges(c0,nmlon0,nmlat0)
-      call edges(c1,nmlon1,nmlat1)
-      call edges(c2,nmlon2,nmlat2)
-      call edges(c3,nmlon3,nmlat3)
-      call edges(c4,nmlon4,nmlat4)
+      do n = 1,nres_grid-1
+        cp(1:nmlon_mud(n),1:nmlat_mud(n),1:9) => cee(nc(n+1):nc(n+2)-1)
+        call edges(cp,nmlon_mud(n),nmlat_mud(n))
+      enddo
       call edges(cofum,nmlon0,nmlat0)
 !
 ! Divide stencils by cos(lam_0) (not rhs):
-      call divide(c0,nmlon0,nmlat0,nmlon0,nmlat0,cs,1)
-      call divide(c1,nmlon1,nmlat1,nmlon0,nmlat0,cs,1)
-      call divide(c2,nmlon2,nmlat2,nmlon0,nmlat0,cs,1)
-      call divide(c3,nmlon3,nmlat3,nmlon0,nmlat0,cs,1)
-      call divide(c4,nmlon4,nmlat4,nmlon0,nmlat0,cs,1)
-      call divide(cofum,nmlon0,nmlat0,nmlon0,nmlat0,cs,0)
+      call divide(c0,nmlon0,nmlat0,nmlon0,cs)
+      do n = 1,nres_grid-1
+        cp(1:nmlon_mud(n),1:nmlat_mud(n),1:9) => cee(nc(n+1):nc(n+2)-1)
+        call divide(cp,nmlon_mud(n),nmlat_mud(n),nmlon0,cs)
+      enddo
+      call divide(cofum,nmlon0,nmlat0,nmlon0,cs)
 !
 ! Set value of solution to 1. at pole:
       do i=1,nmlon0
         c0(i,nmlat0,10) = 1.
       enddo
 !
-#if defined(INTERCOMM) || defined(CISMAH)
+#ifdef GAMERA
 !
-! 3/20/14 btf: cism coupling not yet ready in pdynamo (however,
+! 3/20/14 btf: mage coupling not yet ready in pdynamo (however,
 !   this part will not have to be parallelized, since we are in
 !   global domain here anyway).
 !
-! Convert LFM geographic potential to geomagnetic coordinates
+! Convert GAMERA geographic potential to geomagnetic coordinates
 !
-      call cism_pot2mag
+      call mage_pot2mag
 c      do jj=1,nmlat
 c       do i=1,nmlonp1
 c        write(6,*)phihm(i,jj),i,jj
@@ -3187,7 +3104,7 @@ subroutine stencils
       ncc = 1
       nmaglon = nmlon0
       nmaglat = nmlat0
-      do n=1,5
+      do n=1,nres_grid
         call stenmd(nmaglon,nmaglat,cee(ncc),phihm(1,nmlat0),pfrac)
         ncc = ncc+9*nmaglon*nmaglat
         if (n==1) ncc = ncc+nmaglon*nmaglat ! rhs is in 10th slot
@@ -3271,15 +3188,13 @@ subroutine clearcee(cee,nlon0,nlat0)
 !
 ! Local:
       integer :: nlon,nlat,n,m,i
-      real :: time0,time1
 
-!     if (dynamo_timing) call timer(time0,time1,"clearcee",0,0)
 !
 ! Compute total size of cee
       nlon = nlon0
       nlat = nlat0
       n = 0
-      do m=1,5 ! 5 resolution levels
+      do m=1,nres_grid ! 5 resolution levels
         n = n+nlon*nlat
         nlon = (nlon+1)/2
         nlat = (nlat+1)/2
@@ -3293,7 +3208,7 @@ subroutine clearcee(cee,nlon0,nlat0)
 
       end subroutine clearcee
 !-----------------------------------------------------------------------
-      subroutine stencmd(zigm,cs,nlon0,nlat0,sym,cee,ncoef)
+      subroutine stencmd(zigm,nlon0,nlat0,sym,cee,ncoef)
 !
 ! Calculate contribution fo 3 by 3 stencil from coefficient zigm
 ! at each grid point and level. 
@@ -3305,15 +3220,15 @@ subroutine stencmd(zigm,cs,nlon0,nlat0,sym,cee,ncoef)
      |  ncoef  ! integer identifier of coefficient
       real,intent(in) :: 
      |  zigm(nlon0,nlat0), ! coefficients (nlon0+1/2,(nlat0+1)/2) 
-     |  sym,               !  1. if zigm symmetric w.r.t. equator 
+     |  sym                !  1. if zigm symmetric w.r.t. equator 
                            ! -1. for antisymmetry
-     |  cs(nlat0)
       real,intent(inout) :: 
      |  cee(*)  ! output stencil array consisting of c0,c1,c2,c3,c4
 !
 ! Local:
       integer :: nc,nlon,nlat,n
-      real :: wkarray(-15:nmlon0+16,nmlat0)
+      real :: wkarray(-2**(nres_grid-1)+1:nmlon0+2**(nres_grid-1),
+     |  nmlat0)
 !
 ! Perform half-way interpolation and extend zigm in wkarray:
 !
@@ -3327,7 +3242,7 @@ subroutine stencmd(zigm,cs,nlon0,nlat0,sym,cee,ncoef)
 !
 ! Calculate modified and unmodified stencil on finest grid
 !
-      call cnmmod(nlon0,nlat0,nlon,nlat,cee(nc),ncoef,wkarray,cofum)
+      call cnmmod(nlon0,nlon,nlat,cee(nc),ncoef,wkarray,cofum)
 
 !     if (dynamo_timing) call timer(time0,time1,"stencmd",0,0)
 !
@@ -3336,8 +3251,8 @@ subroutine stencmd(zigm,cs,nlon0,nlat0,sym,cee,ncoef)
       nlon = (nlon+1)/2
       nlat = (nlat+1)/2
 !
-      do n=2,5
-        call cnm(nlon0,nlat0,nlon,nlat,cee(nc),ncoef,wkarray)
+      do n=2,nres_grid
+        call cnm(nlon0,nlon,nlat,cee(nc),ncoef,wkarray)
         nc = nc+9*nlon*nlat
         if (n==1) nc = nc+nlon*nlat
         nlon = (nlon+1)/2
@@ -3353,7 +3268,8 @@ subroutine htrpex(coeff,nmlon0,nmlat0,sym,wkarray)
 ! Args:
       integer,intent(in) :: nmlon0,nmlat0
       real,intent(in) :: coeff(nmlon0,nmlat0),sym
-      real,intent(out) :: wkarray(-15:nmlon0+16,nmlat0)
+      real,intent(out) ::
+     |  wkarray(-2**(nres_grid-1)+1:nmlon0+2**(nres_grid-1),nmlat0)
 !
 ! Local:
       integer :: i,j,jj
@@ -3367,7 +3283,7 @@ subroutine htrpex(coeff,nmlon0,nmlat0,sym,wkarray)
       enddo ! j=1,nmlat0
 !
 ! Extend over 32 grid spaces to allow for a total of 5 grid levels:
-      do i=1,16
+      do i=1,2**(nres_grid-1)
         do j=1,nmlat0
           wkarray(1-i,j) = wkarray(nmlon0-i,j) 
           wkarray(nmlon0+i,j) = wkarray(1+i,j)
@@ -3375,16 +3291,17 @@ subroutine htrpex(coeff,nmlon0,nmlat0,sym,wkarray)
       enddo ! i=1,16
       end subroutine htrpex
 !-----------------------------------------------------------------------
-      subroutine cnm(nlon0,nlat0,nlon,nlat,c,ncoef,wkarray)
+      subroutine cnm(nlon0,nlon,nlat,c,ncoef,wkarray)
 !
 ! Compute contribution to stencil from zigm(ncoef) on grid nlon by nlat,
 ! Finest grid is nlon0 by nlat0.
 !
 ! Args:
       integer,intent(in) :: 
-     |  nlon0,nlat0, ! finest grid dimensions
+     |  nlon0,       ! finest grid dimensions
      |  nlon,nlat    ! output grid dimensions
-      real,intent(in) :: wkarray(-15:nmlon0+16,nmlat0)
+      real,intent(in) ::
+     |  wkarray(-2**(nres_grid-1)+1:nmlon0+2**(nres_grid-1),nmlat0)
 !
 ! ncoef: integer id of coefficient:
 ! ncoef = 1 for zigm11
@@ -3399,9 +3316,7 @@ subroutine cnm(nlon0,nlat0,nlon,nlat,c,ncoef,wkarray)
 !
 ! Local:
       integer :: i,j,nint,i0,j0
-      real,parameter :: pi=3.141592654
       real :: wk(nlon0,3)
-      real :: time0,time1
 
 !     if (dynamo_timing) call timer(time0,time1,"cnm",0,0)
 !
@@ -3519,16 +3434,17 @@ subroutine cnm(nlon0,nlat0,nlon,nlat,c,ncoef,wkarray)
       endif ! ncoef
       end subroutine cnm
 !-----------------------------------------------------------------------
-      subroutine cnmmod(nlon0,nlat0,nlon,nlat,c,ncoef,wkarray,cofum)
+      subroutine cnmmod(nlon0,nlon,nlat,c,ncoef,wkarray,cofum)
 !
 ! Compute contribution to stencil from zigm(ncoef) on grid nlon by nlat,
 ! Finest grid is nlon0 by nlat0.
 !
 ! Args:
       integer,intent(in) :: 
-     |  nlon0,nlat0, ! finest grid dimensions
+     |  nlon0,       ! finest grid dimensions
      |  nlon,nlat    ! output grid dimensions
-      real,intent(in) :: wkarray(-15:nmlon0+16,nmlat0)
+      real,intent(in) ::
+     |  wkarray(-2**(nres_grid-1)+1:nmlon0+2**(nres_grid-1),nmlat0)
       real,dimension(nmlon0,nmlat0,9),intent(inout) :: cofum
 !
 ! ncoef: integer id of coefficient:
@@ -3544,7 +3460,6 @@ subroutine cnmmod(nlon0,nlat0,nlon,nlat,c,ncoef,wkarray,cofum)
 !
 ! Local:
       integer :: i,j,nint,i0,j0
-      real,parameter :: pi=3.141592654
       real :: wk(nlon0,3)
 !
 ! Compute separation of grid points of resolution nlon x nlat within
@@ -3719,7 +3634,6 @@ subroutine ceee(cee,nx,ny,cf)
       real,intent(in) :: cee(nx,ny,*)
       real,intent(out) :: cf(nx,ny,*)
       integer :: i,j,n
-      real :: time0,time1
 
       do n = 1,9
         do j = 1,ny
@@ -3753,12 +3667,12 @@ subroutine edges(c,nlon,nlat)
       enddo
       end subroutine edges
 !-----------------------------------------------------------------------
-      subroutine divide(c,nlon,nlat,nlon0,nlat0,cs,igrid)
+      subroutine divide(c,nlon,nlat,nlon0,cs)
 !
 ! Divide stencil C by cos(theta(i,j))
 !
 ! Args:
-      integer,intent(in) :: nlon,nlat,nlon0,nlat0,igrid
+      integer,intent(in) :: nlon,nlat,nlon0
       real,intent(in) :: cs(*)
       real,intent(out) :: c(nlon,nlat,*)
 !
@@ -3926,41 +3840,44 @@ subroutine solver(cofum,c0)
       end subroutine solver
 !-----------------------------------------------------------------------
 
-#if defined(INTERCOMM) || defined(CISMAH)
-      subroutine cism_pot2mag
+      subroutine mage_pot2mag
 !
 ! This subroutine converts high latitude potential in geographic coordinate 
-! obtained form the CMIT M-I couplier to geomagnetci coordinate to be used
+! obtained form the MAGE M-I couplier to geomagnetci coordinate to be used
 ! in dynamo calculations
 !
 ! Uses
 !
       use params_module,only: nlonp1
-      use cism_coupling_module, only:gpotm
+      use mage_coupling_module, only:gpotm
       use magfield_module,only: ig,jg,wt
 !
 ! Local:
 !
       integer :: jj
 
-      do jj=mlat0,mlat1
+! Pham, 2018
+! The original transformation did it piecewise.
+! However, this whole subroutine is performed inside of the root task
+! So a change was made such that the root task does the full transform.
+      do jj=1,nmlat
          call geo2mag(phihm(1,jj),gpotm(3:nlonp1+2,:),
-     |        ig,jg,wt,nlonp1,nmlonp1,nmlon,nmlat,jj)
+     |        ig,jg,wt,nlonp1,nmlonp1,nmlat,jj)
          ! Periodic point
          phihm(nmlonp1,jj) = phihm(1,jj)
       enddo
 
-      end subroutine cism_pot2mag
+      end subroutine mage_pot2mag
 !-----------------------------------------------------------------------
       subroutine geo2mag(fmag,fgeo,long,latg,wght,nlonp1_geo,nlonp1_mag,
-     |  nlon_mag,nlat_mag,lat)
+     |  nlat_mag,lat)
 !
 ! Transform field fgeo on geographic grid to geomagnetic grid using
 !   indices long,latg and weights wght. Return field fmag on magnetic
 !   grid.
 !
 ! Args:
-      integer,intent(in) :: nlonp1_geo,nlonp1_mag,nlon_mag,nlat_mag,lat
+      integer,intent(in) :: nlonp1_geo,nlonp1_mag,nlat_mag,lat
       integer,dimension(nlonp1_mag,nlat_mag),intent(in) :: long,latg
       real,intent(in) :: fgeo(nlonp1_geo,*),wght(4,nlonp1_mag,nlat_mag)
       real,intent(out) :: fmag(nlonp1_mag,*)
@@ -3968,7 +3885,9 @@ subroutine geo2mag(fmag,fgeo,long,latg,wght,nlonp1_geo,nlonp1_mag,
 ! Local:
       integer :: i
 !
-      do i=mlon0,mlon1
+! Pham, 2018
+! Loop over entire domain instead of MPI piece.
+      do i=1,nlonp1_mag
         fmag(i,1) =
      |    fgeo(long(i,lat)  ,latg(i,lat)  )*wght(1,i,lat)+
      |    fgeo(long(i,lat)+1,latg(i,lat)  )*wght(2,i,lat)+
@@ -3980,6 +3899,5 @@ subroutine geo2mag(fmag,fgeo,long,latg,wght,nlonp1_geo,nlonp1_mag,
 !    |    fgeo(long(i,lat),latg(i,lat)),fmag(i,1)
       enddo
       end subroutine geo2mag
-#endif
 !-----------------------------------------------------------------------
       end module pdynamo_module
diff --git a/src/qinite.F b/src/qinite.F
index 67e412d..dbebdbb 100644
--- a/src/qinite.F
+++ b/src/qinite.F
@@ -1,5 +1,5 @@
 !
-      subroutine qinite(o2,o1,n2,no,xnmbari,vo2,vo1,vn2,
+      subroutine qinite(o2,o1,he,n2,no,xnmbari,vo2,vo1,vn2,
      |  lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -24,9 +24,9 @@ subroutine qinite(o2,o1,n2,no,xnmbari,vo2,vo1,vn2,
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
-     |  o2,o1,n2,no,   ! mass mixing ratios o2,o,n2,no
+     |  o2,o1,he,n2,no,! mass mixing ratios o2,o,he,n2,no
      |  vo2,vo1,vn2,   ! vertical column densities
-     |  xnmbari        ! p0*e(-z)*barm at interfaces
+     |  xnmbari        ! p0*e(-z)*barm/kT at interfaces
 !
 ! VT vampir tracing:
 !
@@ -40,6 +40,7 @@ subroutine qinite(o2,o1,n2,no,xnmbari,vo2,vo1,vn2,
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  o2i,    ! o2  at interfaces
      |  o1i,    ! o   at interfaces
+     |  hei,    ! he  at interfaces
      |  n2i,    ! n2  at interfaces
      |  tau,    ! 
      |  qbo2,   ! o2 background ionization
@@ -74,24 +75,21 @@ subroutine qinite(o2,o1,n2,no,xnmbari,vo2,vo1,vn2,
         n2i(k+1,:) = 0.5*(n2(k,lon0:lon1)+n2(k+1,lon0:lon1))
       enddo
 !
-! Bottom boundary for o2i, o1i:
+! Bottom boundary for o2i, o1i, hei:
       do i=lon0,lon1
-        o2i(1,i) = .5*((b(i,1,1)+1.)*o2(1,i)+b(i,1,2)*o1(1,i)+fb(i,1))
-        o1i(1,i) = .5*(b(i,2,1)*o2(1,i)+(b(i,2,2)+1.)*o1(1,i)+fb(i,2))
+        o2i(1,i) = .5*((b(i,1,1)+1.)*o2(1,i)+b(i,1,2)*o1(1,i)+
+     |    b(i,1,3)*he(1,i)+fb(i,1))
+        o1i(1,i) = .5*(b(i,2,1)*o2(1,i)+(b(i,2,2)+1.)*o1(1,i)+
+     |    b(i,2,3)*he(1,i)+fb(i,2))
+        hei(1,i) = .5*(b(i,3,1)*o2(1,i)+b(i,3,2)*o1(1,i)+
+     |    (b(i,3,3)+1.)*he(1,i)+fb(i,3))
 !
 ! btf tiegcm_he 8/21/13: Not sure about n2i bottom boundary. 
-! For now, use 1-o2i-o1i since helium is negligible at this height.
+! For now, use 1-o2i-o1i-hei.
 !
-        n2i(1,i) = 1.-o2i(1,i)-o1i(1,i)
+        n2i(1,i) = 1.-o2i(1,i)-o1i(1,i)-hei(1,i)
       enddo
 !
-! n2 at interfaces:
-      do k=lev0,lev1
-        do i=lon0,lon1                       !!! temporal fix CISM
-         if(n2i(k,i)<=0.)n2i(k,i)=1.e-5      !!! temporal fix CISM
-        enddo                                !!! temporal fix CISM
-      enddo 
-!
 ! Summation over wavelength:
       qbo2 = 0. ! array init
       qbo1 = 0. ! array init
diff --git a/src/qjion.F b/src/qjion.F
index 8279c78..8b89e54 100644
--- a/src/qjion.F
+++ b/src/qjion.F
@@ -1,5 +1,5 @@
 !
-      subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
+      subroutine qjion(o2,o1,n2,o2p,op,n4s,n2d,no,ne,xnmbar,xnmbari,
      |  n2p,nplus,nop,xiop2p,xiop2d, lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -11,8 +11,7 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
 ! This routine modifies Q(k,i) from qrj module (all args are input).
 !
       use cons_module,only: avo,evergs,rmassinv_o2,rmassinv_o1,
-     |  rmassinv_n2,rmassinv_no,rmassinv_n2d,rmassinv_n4s,p0,boltz,
-     |  expz,expzmid,expzmid_inv
+     |  rmassinv_n2,rmassinv_no,rmassinv_n2d,rmassinv_n4s
       use chemrates_module,only: 
      |  rk1,rk2,rk3,rk4,rk5,rk6,rk7,rk8,rk9,rk10,ra1,ra2,ra3,rk16,rk17,
      |  rk18,rk19,rk20,rk21,rk22,rk23,rk24,rk25,rk26,rk27
@@ -31,7 +30,6 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
 ! Args (all input):
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) :: 
-     |  tn,      ! neutral temperature (deg K)
      |  o2,      ! molecular oxygen (mmr)
      |  o1,      ! atomic oxygen (mmr)
      |  n2,      ! molecular nitrogen (mmr)
@@ -41,7 +39,8 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
      |  n2d,     ! N(2D) (updated from comp_n2d)
      |  no,      ! nitric oxide
      |  ne,      ! electron density (cm3)
-     |  barm   , ! p0*e(-z)*barm/kT
+     |  xnmbar,  ! p0*e(-z)*mbar/kT (xnmbar at midpoints)  (s12)
+     |  xnmbari, ! p0*e(-z)*barm/kT (xnmbar at interfaces) (s11)
      |  n2p,     ! N2+ (from elden)
      |  nplus,   ! N+  (from elden)
      |  nop,     ! NO+ (from elden)
@@ -53,34 +52,15 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
       real,dimension(lev0:lev1,lon0:lon1) :: 
      |  qtot,    ! total ionization rate                 (s1)
      |  qphoto,  ! photo-electron heating of neutral gas (s2)
-     |  qic,     ! ion chemistry heating of neutral gas  (s3)
-     |  xnmbarm, ! p0*e(-z)*barm/kT ("(K)" -- averaged)        (s12)
-     |  xnmbari  ! p0*e(-z)*barm/kT ("(K+1/2)" -- not averaged (s11)
+     |  qic      ! ion chemistry heating of neutral gas  (s3)
       real,dimension(lev0:lev1) :: aureff
 !
       aureff(:) = 0.05 ! this is local (not the aureff from aurora module).
 !
-      do i=lon0,lon1
-        do k=lev0,lev1-1
-          xnmbarm(k,i) = p0*expz(k)*.5*(barm(k,i)+barm(k+1,i))/    ! s12 (K+1/2)
-     |      (boltz*tn(k,i))
-        enddo ! k=lev0,lev1
-        do k=lev0+1,lev1-1
-          xnmbari(k,i) = p0*expzmid_inv*expz(k)*barm(k,i)/         ! s11 (K)
-     |      (boltz*.5*(tn(k,i)+tn(k-1,i)))
-        enddo ! k=lev0+1,lev1-1
-        xnmbari(lev0,i) = p0*expzmid_inv*expz(lev0)*barm(lev0,i)/  ! s11 bottom
-     |    (boltz*.5*(3.*tn(lev0,i)-tn(lev0+1,i)))
-        xnmbari(lev1,i) = p0*expzmid*expz(lev1-1)*barm(lev1,i)/    ! s11 top
-     |    (boltz*.5*(3.*tn(lev1-1,i)-tn(lev1-2,i)))
-      enddo ! i=lon0,lon1
-!
-! xnmbari = xnmbar at interfaces (averaged in the column == S11 (K))
-! xnmbarm = xnmbar at interfaces (NOT averaged in the column == S12 (K+1/2))
 !
-!     call addfld('XNMBARM' ,' ',' ',xnmbarm,
+!     call addfld('XNMBAR' ,' ',' ',xnmbar(:,lon0:lon1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
-!     call addfld('XNMBARI' ,' ',' ',xnmbari,
+!     call addfld('XNMBARI' ,' ',' ',xnmbari(:,lon0:lon1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !
 ! qtot = total ionization rate = sum(Qxx) = 
@@ -116,7 +96,7 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
      |      rk5*no(k,i)*rmassinv_no*2.813))+
      |      .5*(ne(k,i)+ne(k+1,i))*(ra1(k,i,lat)*nop(k,i)*0.854+
      |       ra2(k,i,lat)*o2p(k,i)*5.2755+
-     |       ra3(k,i,lat)*n2p(k,i)*3.678)/xnmbarm(k,i))*evergs+
+     |       ra3(k,i,lat)*n2p(k,i)*3.678)/xnmbar(k,i))*evergs+
 !
      |      (avo*(((rk16*3.02+rk17*0.7)*n2(k,i)*rmassinv_n2+
      |       rk18*o1(k,i)*rmassinv_o1*5.0)*xiop2p(k,i)+
@@ -126,7 +106,7 @@ subroutine qjion(tn,o2,o1,n2,o2p,op,n4s,n2d,no,ne,barm,
      |      (.5*(ne(k,i)+ne(k+1,i))*((rk19(k,i,lat)*5.0+
      |       rk20(k,i,lat)*1.69)*xiop2p(k,i)+rk25(k,i,lat)*3.31*
      |       xiop2d(k,i))-(rk21*5.02+rk22*1.69)*xiop2p(k,i)-
-     |       rk27*3.33*xiop2d(k,i))/xnmbarm(k,i))*evergs
+     |       rk27*3.33*xiop2d(k,i))/xnmbar(k,i))*evergs
 !
 ! Insure qic > 0:
           if (qic(k,i) < 1.e-30) qic(k,i) = 1.e-30
diff --git a/src/qjnno.F b/src/qjnno.F
index 6cb8cb5..28b90db 100644
--- a/src/qjnno.F
+++ b/src/qjnno.F
@@ -1,5 +1,5 @@
 !
-      subroutine qjnno(tn,o2,o1,ne,no,n4s,n2d,xnmbar,
+      subroutine qjnno(o2,o1,ne,no,n4s,n2d,xnmbar,
      |  lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
@@ -10,7 +10,7 @@ subroutine qjnno(tn,o2,o1,ne,no,n4s,n2d,xnmbar,
 ! due to N, NO chemistry.
 !
       use cons_module,only: evergs,avo,rmassinv_n4s,rmassinv_no,
-     |  rmassinv_o2,rmassinv_o1,rmassinv_n2d,expz
+     |  rmassinv_o2,rmassinv_o1,rmassinv_n2d
       use chemrates_module,only: beta1,beta2,beta3,beta4,beta5,beta6
       use qrj_module,only: qtotal ! qtotal(nlevp1,lon0:lon1,lat0:lat1)
       use addfld_module,only: addfld
@@ -19,14 +19,13 @@ subroutine qjnno(tn,o2,o1,ne,no,n4s,n2d,xnmbar,
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) :: 
-     |  tn,    ! neutral temperature (deg K)
      |  o2,    ! molecular oxygen (mmr)
      |  o1,    ! atomic oxygen (mmr)
      |  ne,    ! electron density (cm3)
      |  no,    ! nitric oxide
      |  n4s,   ! N(4S)
      |  n2d,   ! N(2D) (updated from comp_n2d)
-     |  xnmbar ! p0*e(-z)*barm/kT
+     |  xnmbar ! p0*e(-z)*mbar/kT
 !
 ! Local:
       integer :: k,i
@@ -54,7 +53,7 @@ subroutine qjnno(tn,o2,o1,ne,no,n4s,n2d,xnmbar,
       do i=lon0,lon1
         do k=lev0+1,lev1-1
           dq(k,i) = deltaq(k-1,i)*deltaq(k,i)
-          if (dq(k,i) < 0.) dq(k,i) = 1.e-20
+          if (dq(k,i) < 1.e-20) dq(k,i) = 1.e-20
           qtotal(k,i,lat) = qtotal(k,i,lat)+sqrt(dq(k,i)) 
         enddo ! k=lev0+1,lev1-1
 !
diff --git a/src/qjoule.F b/src/qjoule.F
index 294ffd1..71fe9f7 100644
--- a/src/qjoule.F
+++ b/src/qjoule.F
@@ -7,7 +7,7 @@ module qjoule
       contains
 !-----------------------------------------------------------------------
       subroutine qjoule_ti(un,vn,w,ui,vi,wi,lam1,op,nplus,
-     |    n2p,nop,o2p,barm,tn,qji_ti,lev0,lev1,lon0,lon1,lat)
+     |    n2p,nop,o2p,mbar,scht,qji_ti,lev0,lev1,lon0,lon1)
 !
 ! Calculate ion joule heating for use in ion temperature.
 ! This is called from sub dynamics before settei. Qji_ti output from
@@ -25,16 +25,14 @@ subroutine qjoule_ti(un,vn,w,ui,vi,wi,lam1,op,nplus,
 !     now
 !       Q_JI = m_n/(m_n+m_i) * lambda_1 * [ (u_i-u_n)^2 + (v_i-v_n)^2+ (w_i-w_n)^2]
 !
-      use cons_module,only: avo,        ! avogadro number 6.023e23 particles / mole
-     |  grav,   ! acceler. due to gravity at lower boundary [cm/s^2]
-     |  gask,   ! gas konstant 8.314e7 [ergs/K/mol]
+      use cons_module,only:
      |  rmass_o2 , rmass_o1, rmass_n2,  ! 32,16,28 [g/mol]
-     |  rmass_n4s, rmass_no, rmass_op   ! 14,30,16 [g/mol]
+     |  rmass_n4s, rmass_no             ! 14,30    [g/mol]
       use addfld_module,only: addfld
       implicit none
 !
 ! Args:
-      integer,intent(in) :: lev0,lev1,lon0,lon1,lat
+      integer,intent(in) :: lev0,lev1,lon0,lon1
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) :: 
      |  un,vn,          ! zonal, meridional  neutral velocity [cm/s]
      |  w,              ! dimensionless vertical  neutral velocity omega [1/s] (interface)
@@ -45,8 +43,8 @@ subroutine qjoule_ti(un,vn,w,ui,vi,wi,lam1,op,nplus,
      |  n2p,       	! N2+ 1/cm^3 at half levels
      |  nop,       	! NO+  1/cm^3 at half levels
      |  o2p,        	! O2+  1/cm^3 at half levels
-     |  barm,           ! mean molecular weight (interface)
-     |  tn              ! neutral temperature (deg K)
+     |  mbar,           ! mean molecular weight (midpoint)
+     |  scht            ! scale height
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) :: 
      |  qji_ti          ! ion joule heating for ti (output) [ergs/s/g]
 !
@@ -68,14 +66,13 @@ subroutine qjoule_ti(un,vn,w,ui,vi,wi,lam1,op,nplus,
           m_i = m_i/(op(k,i) + o2p(k,i)+nplus(k,i)+ n2p(k,i)+
      |          nop(k,i))
 ! mean molecular weight of neutrals at half level [g/mol]
-          m_n = .5*(barm(k,i)+barm(k+1,i))
+          m_n = mbar(k,i)
 ! ratio m_n/(m_n+m_i)	
 	  mfac = m_i+m_n
 	  mfac = m_n/mfac
 	  
 ! scale height H [cm] to convert omega [1/s] to vertical neutral wind [cm/s]
-          vert_vel(k,i) = 0.5*(w(k,i)+w(k+1,i))*gask*tn(k,i)/
-     |        (.5*(barm(k,i)+barm(k+1,i))*grav)
+          vert_vel(k,i) = 0.5*(w(k,i)+w(k+1,i))*scht(k,i)
      
 ! Ion velocities at half levels
           uii(k,i) = .5*(ui(k,i)+ui(k+1,i))  ! s6
@@ -90,12 +87,9 @@ subroutine qjoule_ti(un,vn,w,ui,vi,wi,lam1,op,nplus,
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
 
-!     call addfld('QJI_TI','QJI_TI ',' ',qji_ti(lev0:lev1-1,lon0:lon1),
-!    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
-
       end subroutine qjoule_ti
 !-----------------------------------------------------------------------
-      subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,barm,tn,qji_tn,
+      subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,scht,qji_tn,
      |  lev0,lev1,lon0,lon1,lat)
 !
 ! Calculate ion joule heating for neutral temperature.
@@ -111,11 +105,8 @@ subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,barm,tn,qji_tn,
 !     to
 !       Q_J = lambda_1 * [ (u_i-u_n)^2 + (v_i-v_n)^2 + (w_i-w_n)^2]
 !
-      use cons_module,only:
-     |  grav,   ! acceler. due to gravity at lower boundary [cm/s^2]
-     |  gask    ! gas konstant 8.314e7 [ergs/K/mol]
       use addfld_module,only: addfld
-      use diags_module,only: mkdiag_QJOULE,mkdiag_QJOULE_INTEG
+      use diags_module,only: mkdiag_QJOULE
       use input_module,only: joulefac_input => joulefac
       implicit none
 !     
@@ -126,20 +117,18 @@ subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,barm,tn,qji_tn,
      |  w,              ! dimensionless vertical  neutral velocity omega [1/s] (interface)
      |  ui,vi,wi,       ! zonal, meridional, vertical ion velocity (interface)
      |  lam1,           ! lambda_1 ion drag coefficient
-     |  barm,           ! mean molecular weight (interface)
-     |  tn              ! neutral temperature (deg K)
+     |  scht            ! scale height
        real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) :: 
      |  qji_tn          ! ion joule heating for tn (output)
 !
 ! Local:
       integer :: k,i
-      real,dimension(lev0:lev1,lon0:lon1) ::vel_zonal,vel_merid,
-     |  vel_vert,scheight        ! scale height  
+      real,dimension(lev0:lev1,lon0:lon1) ::vel_zonal,vel_merid,vel_vert
       real :: joulefac
 !
-#if defined(INTERCOMM) || defined(CISMAH)
+#ifdef GAMERA
 !
-! CMIT: When copled to the LFM, the currents are strong
+! MAGE: When copled to the GAMERA, the currents are strong
 !       so we need to reduce joulefac from 1.5 to 1.0:
 !
       joulefac = 1.0 ! joule heating multiplication factor
@@ -155,11 +144,9 @@ subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,barm,tn,qji_tn,
 !
       do i=lon0,lon1
         do k=lev0,lev1-1
-          scheight(k,i) = gask*tn(k,i)/
-     |        (.5*(barm(k,i)+barm(k+1,i))*grav)
           vel_zonal(k,i) = .5*(ui(k,i)+ui(k+1,i))-un(k,i)  ! s2
           vel_merid(k,i) = .5*(vi(k,i)+vi(k+1,i))-vn(k,i)  ! s3
-          vel_vert(k,i)  = .5*(wi(k,i)+wi(k+1,i)-scheight(k,i)*
+          vel_vert(k,i)  = .5*(wi(k,i)+wi(k+1,i)-scht(k,i)*
      |         ( w(k,i)+w(k+1,i)) )
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1
@@ -194,10 +181,6 @@ subroutine qjoule_tn(un,vn,w,ui,vi,wi,lam1,barm,tn,qji_tn,
 !
 ! Save diagnostic Total Joule Heating:
       call mkdiag_QJOULE('QJOULE',qji_tn,lev0,lev1,lon0,lon1,lat)
-!
-! Save diagnostic Height-integrated Joule Heating:
-      call mkdiag_QJOULE_INTEG('QJOULE_INTEG',qji_tn(:,lon0:lon1),
-     |  lev0,lev1,lon0,lon1,lat)
 
       end subroutine qjoule_tn
 !-----------------------------------------------------------------------
diff --git a/src/qrj.F b/src/qrj.F
index 1f79dca..ec6f8d4 100644
--- a/src/qrj.F
+++ b/src/qrj.F
@@ -66,16 +66,15 @@ module qrj_module
 !
       contains
 !-----------------------------------------------------------------------
-      subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
+      subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,he,n2,xnmbari,
      |  lev0,lev1,lon0,lon1,lat)
 !
 ! Calculate heating and dissociation rates.
 !
-      use input_module,only: f107,f107a
+      use input_module,only: f107
       use init_module,only: sfeps
-      use cons_module,only: t0,expz,avo,rmassinv_n4s,rmassinv_no,
-     |  rmassinv_o2,rmassinv_o1,rmassinv_n2,expzmid,gask,
-     |  expzmid_inv,p0,check_exp
+      use cons_module,only: avo,rmassinv_n4s,rmassinv_no,
+     |  rmassinv_o2,rmassinv_o1,rmassinv_n2,check_exp
       use lbc,only: fb,b
       use chemrates_module,only: beta9
       use fields_module,only: tlbc
@@ -84,7 +83,7 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(in) ::
      |  sco2,sco1,scn2,     ! chapman integrals
-     |  tn,no,o2,o1,n2,n4s, ! tn and species mass mixing ratios
+     |  tn,no,o2,o1,he,n2,  ! tn and species mass mixing ratios
      |  xnmbari             ! p0*e(-z)*barm/kT at interfaces
 !
 ! VT vampir tracing:
@@ -103,10 +102,11 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
      |  cband=9.03E-19  , ! shumann-runge
      |  e3=0.33         ,
      |  hc = 1.9845E-16   ! C(60)
-      real :: rlmeuvinv(lmax),rlmsrcinv(l1),factor,fmin,fmax
+      real :: rlmeuvinv(lmax),rlmsrcinv(l1)
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  o2i,    ! o2  at interfaces (s1)
      |  o1i,    ! o   at interfaces (s2)
+     |  hei,    ! he  at interfaces
      |  n2i,    ! n2  at interfaces (s3)
      |  n4si,   ! n4s at interfaces (s4)
      |  tni     ! tn  at interfaces (s6)
@@ -135,7 +135,7 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
       real,dimension(lev0:lev1,lon0:lon1) ::
      |  sum1,   ! sum(o2,o,n2)(sigma*chapman)   (s5)
      |  sum2,   ! sum(o2,o,n2)(sigma*psi/rmass) (s6)
-     |  sum3    ! sum(o2,o,n2,n4s)(sigmas)      (s7)
+     |  sum3    ! sum(o2,o,n2)(sigmas)      (s7)
       logical,parameter :: 
      |  debug=.false.     ! insert print statements
 !
@@ -171,6 +171,7 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
         do k=lev0,lev1-1
           o2i (k+1,i) = 0.5*(o2(k,i)+o2(k+1,i))
           o1i (k+1,i) = 0.5*(o1(k,i)+o1(k+1,i))
+          hei (k+1,i) = 0.5*(he(k,i)+he(k+1,i))
           n2i (k+1,i) = 0.5*(n2(k,i)+n2(k+1,i))
           n4si(k+1,i) = 0.
         enddo
@@ -179,22 +180,17 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
 ! Bottom boundary:
       do i=lon0,lon1
         o2i(1,i) = .5*((b(i,1,1)+1.)*o2(1,i)+b(i,1,2)*o1(1,i)+
-     |    fb(i,1))
+     |    b(i,1,3)*he(1,i)+fb(i,1))
         o1i(1,i) = .5*(b(i,2,1)*o2(1,i)+(b(i,2,2)+1.)*o1(1,i)+
-     |    fb(i,2))
+     |    b(i,2,3)*he(1,i)+fb(i,2))
+        hei(1,i) = .5*(b(i,3,1)*o2(1,i)+b(i,3,2)*o1(1,i)+
+     |    (b(i,3,3)+1.)*he(1,i)+fb(i,3))
         n4si(1,i) = 0.
 !
 ! btf tiegcm_he 8/21/13: Not sure about n2i bottom boundary. 
-! For now, use 1-o2i-o1i since helium is negligible at this height.
+! For now, use 1-o2i-o1i-hei.
 !
-        n2i(1,i) = 1.-o2i(1,i)-o1i(1,i)
-      enddo
-!
-! N2 at interfaces:
-      do k=lev0,lev1
-        do i=lon0,lon1                       !!! temporal fix CISM
-          if(n2i(k,i)<=0.)n2i(k,i)=1.e-5     !!! temporal fix CISM
-        enddo                                !!! temporal fix CISM
+        n2i(1,i) = 1.-o2i(1,i)-o1i(1,i)-hei(1,i)
       enddo
 !
 ! calculate variables for transferring mass density to number density
@@ -235,7 +231,7 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
       do l=l1+1,lmax   !  from 0.5A to 1050A
         sum1(:,:) = 0. ! sum(o2,o,n2)(sigma*chapman)
         sum2(:,:) = 0. ! sum(o2,o,n2)(sigma*psi/rmass)
-        sum3(:,:) = 0. ! sum(o2,o,n2,n4s)(sigmas)
+        sum3(:,:) = 0. ! sum(o2,o,n2)(sigmas)
         htfac=hc*rlmeuvinv(l)
         do i=lon0,lon1
           do k=lev0,lev1
@@ -360,11 +356,7 @@ subroutine qrj(sco2,sco1,scn2,tn,no,o2,o1,n2,n4s,xnmbari,
 ! Quench:
       do i=lon0,lon1
         do k=lev0,lev1
-          factor = avo*p0/gask*expz(1)*expzmid**(2*k-3)
-          quenchfac(k,i) = factor/((o2i(k,i)*rmassinv_o2+
-     |                              o1i(k,i)*rmassinv_o1+
-     |                              n2i(k,i)*rmassinv_n2)*tni(k,i))
-          quenchfac(k,i) = quenchfac(k,i)*
+          quenchfac(k,i) = xnmbari(k,i)*
      |      (quench(1)*n2i(k,i)*rmassinv_n2+
      |       quench(2)*o2i(k,i)*rmassinv_o2)
           quenchfac(k,i) = quench(3)*quenchfac(k,i)/
@@ -448,7 +440,7 @@ end subroutine qrj
 !---------------------------------------------------------------
       subroutine init_sflux
       use input_module,only: f107,f107a,see_ncfile
-      use init_module,only: sfeps,iday,iyear,secs,istep
+      use init_module,only: sfeps,iday,iyear,secs
       use soldata_module,only: get_soldata,soldata,nwave
 !
 ! Flux initialization once per time step, called from advance.
@@ -467,7 +459,7 @@ subroutine init_sflux
            fsrc(n)   = sflux(n)*sfeps
          enddo
       else
-         call get_soldata(iyear,iday,int(secs),istep)
+         call get_soldata(iyear,iday,int(secs))
          if (nwave /= lmax) then
             write(6,"('init_sflux(): wave bins mismatch: nwave=',i4,
      |         ' lmax=',i4)") nwave,lmax
@@ -521,7 +513,9 @@ subroutine init_qrj
      |        3.818e+08, 8.448e+08, 3.655e+09, 2.364e+09,
      |        1.142e+09, 1.459e+09, 4.830e+09, 2.861e+09,
      |        8.380e+09, 4.342e+09, 5.612e+09, 1.270e+09,
-     |        5.326e+08, 2.850e+07, 2.000e+06, 1.000e+04,
+! am 3/2015 modified according to Fang et al. 2008 to increase E-region Hall conductivity
+!    |        5.326e+08, 2.850e+07, 2.000e+06, 1.000e+04,
+     |        2.343e+09, 1.254e+08, 8.800e+06, 1.000e+04,
      |        5.010e+01/)
 !
 ! scaling factor A as defined in EUVAC model
diff --git a/src/rdsource.F b/src/rdsource.F
index 7f75425..baf9ef0 100644
--- a/src/rdsource.F
+++ b/src/rdsource.F
@@ -7,33 +7,26 @@ subroutine readsource(ier)
 !
 ! Read source history.
 !
-      use params_module,only: nlon,nlonp2,nlonp4,nlevp1,nlat
-      use input_module,only: source,source_start,output,start,
+      use params_module,only: nlevp1
+      use input_module,only: source,source_start,output,pristart,
      |  f107,f107a,power,noutput
-      use hist_module,only: nsource,nhist,ioutfile,ncid,iprint,h
+      use hist_module,only: nsource,nhist,ioutfile,ncid
       use fields_module,only: tlbc,ulbc,vlbc,tlbc_nm,ulbc_nm,vlbc_nm,
-     |  he,he_nm,field_initval,ar,ar_nm
+     |  he,he_nm,field_initval,ar,ar_nm,gzigm1,gzigm2,gnsrhs,itp
       use ar_module,only: ar_glbm
-      use mpi_module,only: lat0,lat1,lon0,lon1
+      use mpi_module,only: lat0,lat1,lon0,lon1,
+     |  mp_periodic_f4d,mp_periodic_f2d,mp_bndlons_f2d,mp_bndlats_f2d
       use pdynamo_module,only: define_phim3d
       use lbc,only: pshelb
-#ifdef MPI
-      use mpi_module,only: mp_periodic_f4d,mp_periodic_f2d,
-     |  mp_bndlons_f2d,mp_bndlats_f2d
-#endif
-      use fields_module,only: itp,un,f4d,nf4d_hist
       implicit none
 !
 ! Arg:
       integer,intent(out) :: ier
 !
 ! Local:
-      integer :: lu,nth,ncid_source,j,i,k
-      real :: fmin,fmax,fminj,fmaxj
-#ifdef MPI
-      real :: flbc(lon0:lon1,lat0:lat1,6)
-      real :: flbc_2(lon0-2:lon1+2,lat0-2:lat1+2,6)
-#endif
+      integer :: nth,i,k
+      real :: flbc(lon0:lon1,lat0:lat1,9)
+      real :: flbc_2(lon0-2:lon1+2,lat0-2:lat1+2,9)
 !
       ier = 0
 !
@@ -43,8 +36,7 @@ subroutine readsource(ier)
 !
 ! Source was provided -- read source history from source file:
       if (nsource==1) then 
-        call rdsource(source,source_start,ncid,nth,
-     |    .false.,iprint)
+        call rdsource(source,source_start,ncid,nth,.false.)
         if (ncid==0) call shutdown('Source history not found')
         nhist  = 0         ! no histories on output file
         ioutfile = 0       ! no output file currently in use
@@ -52,7 +44,7 @@ subroutine readsource(ier)
 ! Source file was not provided -- search output files:
       else
         do i = 1,noutput
-          call rdsource(output(i),start(:,1),ncid,nth,.true.,iprint)
+          call rdsource(output(i),pristart(:,1),ncid,nth,.false.)
           if (ncid > 0) then   ! history was found (not found if ncid==0)
             nhist  = nth       ! number of histories on current output file
             ioutfile = i       ! current output file name is output(ioutfile)
@@ -60,8 +52,8 @@ subroutine readsource(ier)
           endif
         enddo
         if (ncid == 0) then    ! history not found on any output file
-          write(6,"('>>> rdsource: starting history at mtime ',3i4,
-     |      ' was not found on OUTPUT files.')")
+          write(6,"('>>> rdsource: starting history at mtime ',4i4,
+     |      ' was not found on OUTPUT files.')") pristart(:,1)
           call shutdown('Starting history not found on output files')
         endif
       endif
@@ -76,7 +68,6 @@ subroutine readsource(ier)
 !  is allocated only for task-local subdomain block.
 ! lons 1,2 <- nlonp4-3,nlonp4-2 and nlonp4-1,nlonp4 <- 3,4
 !
-#ifdef MPI
       call mp_periodic_f4d(itp)
 !
 ! Periodic points for t,u,v lbc
@@ -89,8 +80,11 @@ subroutine readsource(ier)
       flbc_2(:,:,4) = tlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
       flbc_2(:,:,5) = ulbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
       flbc_2(:,:,6) = vlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,7) = gzigm1(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,8) = gzigm2(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,9) = gnsrhs(lon0-2:lon1+2,lat0-2:lat1+2)
 
-      call mp_bndlons_f2d(flbc_2,lon0,lon1,lat0,lat1,6)
+      call mp_bndlons_f2d(flbc_2,lon0,lon1,lat0,lat1,9)
 
       tlbc(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,1)
       ulbc(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,2)
@@ -98,6 +92,9 @@ subroutine readsource(ier)
       tlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,4)
       ulbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,5)
       vlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,6)
+      gzigm1(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,7)
+      gzigm2(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,8)
+      gnsrhs(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,9)
 !    
       flbc_2(:,:,1) = tlbc(lon0-2:lon1+2,lat0-2:lat1+2)
       flbc_2(:,:,2) = ulbc(lon0-2:lon1+2,lat0-2:lat1+2)
@@ -105,8 +102,11 @@ subroutine readsource(ier)
       flbc_2(:,:,4) = tlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
       flbc_2(:,:,5) = ulbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
       flbc_2(:,:,6) = vlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,7) = gzigm1(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,8) = gzigm2(lon0-2:lon1+2,lat0-2:lat1+2)
+      flbc_2(:,:,9) = gnsrhs(lon0-2:lon1+2,lat0-2:lat1+2)
 
-      call mp_bndlats_f2d(flbc_2,lon0,lon1,lat0,lat1,6)
+      call mp_bndlats_f2d(flbc_2,lon0,lon1,lat0,lat1,9)
 
       tlbc(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,1)
       ulbc(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,2)
@@ -114,6 +114,9 @@ subroutine readsource(ier)
       tlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,4)
       ulbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,5)
       vlbc_nm(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,6)
+      gzigm1(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,7)
+      gzigm2(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,8)
+      gnsrhs(lon0-2:lon1+2,lat0-2:lat1+2) = flbc_2(:,:,9)
 !
       flbc(:,:,1) = tlbc(lon0:lon1,lat0:lat1)
       flbc(:,:,2) = ulbc(lon0:lon1,lat0:lat1)
@@ -121,8 +124,11 @@ subroutine readsource(ier)
       flbc(:,:,4) = tlbc_nm(lon0:lon1,lat0:lat1)
       flbc(:,:,5) = ulbc_nm(lon0:lon1,lat0:lat1)
       flbc(:,:,6) = vlbc_nm(lon0:lon1,lat0:lat1)
+      flbc(:,:,7) = gzigm1(lon0:lon1,lat0:lat1)
+      flbc(:,:,8) = gzigm2(lon0:lon1,lat0:lat1)
+      flbc(:,:,9) = gnsrhs(lon0:lon1,lat0:lat1)
 
-      call mp_periodic_f2d(flbc,lon0,lon1,lat0,lat1,6)
+      call mp_periodic_f2d(flbc,lon0,lon1,lat0,lat1,9)
 
       tlbc(lon0:lon1,lat0:lat1) = flbc(:,:,1)
       ulbc(lon0:lon1,lat0:lat1) = flbc(:,:,2)
@@ -130,23 +136,11 @@ subroutine readsource(ier)
       tlbc_nm(lon0:lon1,lat0:lat1) = flbc(:,:,4)
       ulbc_nm(lon0:lon1,lat0:lat1) = flbc(:,:,5)
       vlbc_nm(lon0:lon1,lat0:lat1) = flbc(:,:,6)
+      gzigm1(lon0:lon1,lat0:lat1) = flbc(:,:,7)
+      gzigm2(lon0:lon1,lat0:lat1) = flbc(:,:,8)
+      gnsrhs(lon0:lon1,lat0:lat1) = flbc(:,:,9)
 !
       call define_phim3d(itp)
-#else
-      do lat=lat0,lat1
-        do i=1,2
-          ulbc(i,lat)        = ulbc(nlon+i,lat)
-          ulbc(nlonp2+i,lat) = ulbc(i+2,lat)
-          vlbc(i,lat)        = vlbc(nlon+i,lat)
-          vlbc(nlonp2+i,lat) = vlbc(i+2,lat)
-          ulbc_nm(i,lat)        = ulbc_nm(nlon+i,lat)
-          ulbc_nm(nlonp2+i,lat) = ulbc_nm(i+2,lat)
-          vlbc_nm(i,lat)        = vlbc_nm(nlon+i,lat)
-          vlbc_nm(nlonp2+i,lat) = vlbc_nm(i+2,lat)
-        enddo
-      enddo
-      call set_periodic_f4d(itp)
-#endif
 !
 ! If argon was not read from the source history, then set it to
 ! column global means (see ar_glbm(nlevp1) in comp_ar.F).
@@ -173,38 +167,31 @@ subroutine readsource(ier)
 !
       end subroutine readsource
 !-------------------------------------------------------------------
-      subroutine rdsource(filepath,mtime,ncid,nthist,
-     |  reopen_append,iprint)
+      subroutine rdsource(filepath,mtime,ncid,nthist,reopen_append)
 !
 ! Acquire and read source history:
 !
 ! On input:
 !   filepath = mss path to history file
-!   mtime(3) = model time of requested source history
+!   mtime(4) = model time of requested source history
 !   reopen_append: if true, reopen the file for later writing after
 !                  reading the history.
-!   iprint: if > 0, report to stdout
 !
 ! On output:
 !   ncid   = file id of history file
 !   nthist = source history is nth history on the file 
-!   global history structure h is defined (see nc_rdhist)
 !
       use nchist_module,only: nc_open,nc_close,nc_rdhist
       implicit none
 ! 
 ! Args:
       character(len=*),intent(in) :: filepath
-      integer,intent(in) :: mtime(3),iprint
+      integer,intent(in) :: mtime(4)
       integer,intent(out) :: nthist,ncid
       logical,intent(in) :: reopen_append
 !
 ! Local:
-      integer ::
-     |  mday,mhour,mmin, ! model day,hour,minute from header
-     |  j,               ! latitude loop index
-     |  ier              ! error flag
-      real :: dum,rj
+      integer :: ier              ! error flag
       character(len=120) :: diskfile
 !
 ! Acquire source file:
diff --git a/src/ringfilter.F b/src/ringfilter.F
new file mode 100644
index 0000000..6284f6c
--- /dev/null
+++ b/src/ringfilter.F
@@ -0,0 +1,108 @@
+      subroutine ringfilter(f,lev0,lev1,order,name,lat)
+
+! Coded by Tong Dang, May, 2017; Modified by Haonan Wu, Feb, 2022
+! This program is to build a new ring filter for the high-resolution TIE-GCM.
+! The filter procedures are as follows:
+! 1. Divide the longitude sessions into several chunks
+! 2. Calculate the avg values of each chunk
+! 3. Do the restruction based on the mean value of each chunk
+
+      use params_module,only: nlon,nlonp2,nlonp4,nlat
+      use cons_module,only: dlamda,nlat_filter,chunk_array
+      implicit none
+
+      integer,intent(in) :: lev0,lev1,order,lat
+      real,dimension(nlonp4,lev0:lev1),intent(inout) :: f
+      character(len=*),intent(in) :: name
+
+      integer :: i,m,n,nchnk,ichnk,im2,im1,ip1,ip2
+      real :: ang
+      real,dimension(lev0:lev1) :: a0,left,right,fa,fb
+      real,dimension(order,lev0:lev1) :: a,b
+      real,dimension(nlon,lev0:lev1) :: w,wm,fx,avg
+
+      nchnk = 0
+      if (lat <= nlat_filter) then
+        nchnk = chunk_array(lat)
+      elseif (lat >= nlat-nlat_filter+1) then
+        nchnk = chunk_array(nlat-lat+1)
+      else
+        if (trim(name) == 'OPLUS') then
+          i = max(abs(nlat/2-lat),1)
+!          if (i <= nlat_filter) nchnk = chunk_array(i)
+        endif
+      endif
+      if (nchnk == 0) return
+
+      if (order >= nlon) call shutdown('Filtering order too high')
+
+      w = f(3:nlonp2,:)
+
+! Fourier series to nth order
+      a0 = sum(w,1)/nlon
+      a = 0
+      b = 0
+      do i = 1,nlon
+        ang = i*dlamda
+        do m = 1,order
+          a(m,:) = a(m,:)+w(i,:)*cos(m*ang)
+          b(m,:) = b(m,:)+w(i,:)*sin(m*ang)
+        enddo
+      enddo
+      a = 2*a/nlon
+      b = 2*b/nlon
+
+! reconstruct based on Fourier series (taken as mean)
+      do i = 1,nlon
+        ang = i*dlamda
+        wm(i,:) = a0
+        do m = 1,order
+          wm(i,:) = wm(i,:)+a(m,:)*cos(m*ang)+b(m,:)*sin(m*ang)
+        enddo
+      enddo
+
+! deviation field
+      fx = w-wm
+
+! divide lon array into chunks and calculate mean in each chunk
+      n = nlon/nchnk
+
+      do ichnk = 1,nchnk
+        avg(ichnk,:) = sum(fx((ichnk-1)*n+1:ichnk*n,:),1)/n
+      enddo
+
+      do ichnk = 1,nchnk
+        im2 = ichnk-2
+        if (im2 <= 0) im2 = im2+nchnk
+        im1 = ichnk-1
+        if (im1 <= 0) im1 = im1+nchnk
+        ip1 = ichnk+1
+        if (ip1 >= nchnk+1) ip1 = ip1-nchnk
+        ip2 = ichnk+2
+        if (ip2 >= nchnk+1) ip2 = ip2-nchnk
+        left = (-avg(im2,:)+7*avg(im1,:)+7*avg(ichnk,:)-avg(ip1,:))/12
+        right = (-avg(im1,:)+7*avg(ichnk,:)+7*avg(ip1,:)-avg(ip2,:))/12
+        fa = (left+right-2*avg(ichnk,:))/n**2
+        fb = (3*avg(ichnk,:)-2*left-right)/n
+
+        if (trim(name) == 'OPLUS') then
+! piece-wise polynomial reconstruction
+          do m = 1,n
+            fx((ichnk-1)*n+m,:) = fa*(3*m**2-3*m+1)+fb*(2*m-1)+left
+          enddo
+        else
+! piece-wise linear reconstruction
+          do m = 1,n
+            fx((ichnk-1)*n+m,:) = (left*(n-m)+right*m)/n
+          enddo
+        endif
+      enddo
+
+! full field
+      w = fx+wm
+
+      f(3:nlonp2,:) = w
+      f(1:2,:) = w(nlon-1:nlon,:)
+      f(nlonp4-1:nlonp4,:) = w(1:2,:)
+
+      end subroutine ringfilter
diff --git a/src/saber_tidi.F b/src/saber_tidi.F
index 4930142..ea7d144 100644
--- a/src/saber_tidi.F
+++ b/src/saber_tidi.F
@@ -7,7 +7,7 @@ module saber_tidi
 ! Read and import netcdf files containing SABER (T,Z) and TIDI (U,V) data.
 !
       use input_module,only: mxlen_filename
-      use nchist_module,only:nc_open,nc_close,handle_ncerr
+      use nchist_module,only:handle_ncerr
       use params_module,only: model_nlon=>nlon, model_nlat=>nlat
       use init_module,only: iyear,istep
       use hist_module,only: nstep
@@ -48,7 +48,7 @@ subroutine get_saber_tidi(modeltime)
       integer,intent(in) :: modeltime(4)
 !
 ! Local:
-      integer :: mtime0(3),mtime1(3),mtime(3)
+      integer :: mtime0(4),mtime1(4),mtime(4)
 !
 ! Return silently if data files were not provided:
       if (len_trim(saber_ncfile) == 0 .and.
@@ -57,21 +57,21 @@ subroutine get_saber_tidi(modeltime)
 ! Get model run start and stop times, and current modeltime:
       mtime0 = start_mtime    ! start model time
       mtime1 = stop_mtime     ! stop model time
-      mtime = modeltime(1:3)  ! current model time
+      mtime = modeltime       ! current model time
 !
 ! For perpetual run, use data for the first day (24 hours), 
 ! then repeat that day of data throughout the perpetual run. 
 ! (use only hour and minute from the current model time)
 !
       if (calendar_advance <= 0) then
-        mtime0 = (/start_day,  0,0/)
-        mtime1 = (/start_day+1,0,0/)
+        mtime0 = (/start_day,  0,0,0/)
+        mtime1 = (/start_day+1,0,0,0/)
         mtime(1) = start_day
       endif
 
       if (istep==1)
      |  write(6,"('get_saber_tidi: calendar_advance=',i2,
-     |    ' mtime0=',3i4,' mtime1=',3i4)") calendar_advance,
+     |    ' mtime0=',4i4,' mtime1=',4i4)") calendar_advance,
      |    mtime0,mtime1
 !
 ! Saber data is requested:
@@ -102,7 +102,7 @@ subroutine read_data_times(ncid,dtype,mtime0,mtime1,istart,istop)
 ! read_saber and read_tidi. Also validate nlon,nlat dimensions.
 !
 ! Args:
-      integer,intent(in)  :: ncid,mtime0(3),mtime1(3)
+      integer,intent(in)  :: ncid,mtime0(4),mtime1(4)
       integer,intent(out) :: istart,istop
       character(len=*) :: dtype  ! 'SABER' or 'TIDI'
 !
@@ -172,14 +172,14 @@ subroutine read_data_times(ncid,dtype,mtime0,mtime1,istart,istop)
 ! Calculate fractional year for start and stop times:
       if (mod(iyear,4) == 0) then
         start_yfrac = iyear+(mtime0(1)-1+(mtime0(2)/24.)+
-     |    (mtime0(3)/(24.*60.)))/366.
+     |    (mtime0(3)/(24.*60.))+mtime0(4)/86400.)/366.
         stop_yfrac = iyear+(mtime1(1)-1+(mtime1(2)/24.)+
-     |    (mtime1(3)/(24.*60.)))/366.
+     |    (mtime1(3)/(24.*60.))+mtime1(4)/86400.)/366.
       else
         start_yfrac = iyear+(mtime0(1)-1+(mtime0(2)/24.)+
-     |    (mtime0(3)/(24.*60.)))/365.
+     |    (mtime0(3)/(24.*60.))+mtime0(4)/86400.)/365.
         stop_yfrac = iyear+(mtime1(1)-1+(mtime1(2)/24.)+
-     |    (mtime1(3)/(24.*60.)))/365.
+     |    (mtime1(3)/(24.*60.))+mtime1(4)/86400.)/365.
       endif
 !
 ! Search for start time in data:
@@ -191,7 +191,7 @@ subroutine read_data_times(ncid,dtype,mtime0,mtime1,istart,istop)
       enddo
       if (istart==0) then
         write(6,"('>>> ',a,' Could not bracket model start',
-     |    ' time ',3i4,' start_yfrac=',f15.6,' dtype=',a)") 
+     |    ' time ',4i4,' start_yfrac=',f15.6,' dtype=',a)") 
      |  dtype,mtime0,start_yfrac
         call shutdown('read_data_times') 
       endif
@@ -204,7 +204,7 @@ subroutine read_data_times(ncid,dtype,mtime0,mtime1,istart,istop)
         endif
       enddo
       if (istop==0) then
-        write(6,"('>>> ',a,' Could not bracket model stop time ',3i4,
+        write(6,"('>>> ',a,' Could not bracket model stop time ',4i4,
      |    ' stop_yfrac=',f15.6)") dtype,mtime1,stop_yfrac 
         call shutdown('read_data_times') 
       endif
@@ -216,8 +216,8 @@ subroutine read_data_times(ncid,dtype,mtime0,mtime1,istart,istop)
       endif
       ntime = istop-istart+1 ! defines module data ntime
 
-      write(6,"('Read ',a,' data from start mtime ',3i4,
-     |  ' to stop mtime ',3i4,' ntimes=',i6)") 
+      write(6,"('Read ',a,' data from start mtime ',4i4,
+     |  ' to stop mtime ',4i4,' ntimes=',i6)") 
      |  dtype,mtime0,mtime1,ntime
 !
 ! Define module data year-fractions and ntimes:
@@ -246,11 +246,11 @@ subroutine read_saber(ncfile,mtime0,mtime1)
 !
 !
 ! Args:
-      integer,intent(in) :: mtime0(3),mtime1(3)
+      integer,intent(in) :: mtime0(4),mtime1(4)
       character(len=*),intent(in) :: ncfile
 !
 ! Local:
-      integer :: ncid,istat,i,ntime,istart_saber,istop_saber
+      integer :: ncid,istat,ntime,istart_saber,istop_saber
       integer :: idv_t,idv_z
       integer :: start(3),count(3)
       character(len=mxlen_filename) :: dskfile
@@ -261,8 +261,8 @@ subroutine read_saber(ncfile,mtime0,mtime1)
       write(6,"(/,72('-'))")
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOERR) then
         write(6,"(/,'>>> read_saber: error opening netcdf saber ',
      |    'file ',a,' dskfile ',a)") trim(ncfile),trim(dskfile)
         call shutdown('read_saber')
@@ -337,7 +337,10 @@ subroutine read_saber(ncfile,mtime0,mtime1)
      |  minval(saber_data_t),maxval(saber_data_t),trim(units_t)
       write(6,"('Z perturbations data min,max=',2e12.4,' (',a,')')") 
      |  minval(saber_data_z),maxval(saber_data_z),trim(units_z)
-
+!
+! Close netcdf file:
+      istat = nf_close(ncid)
+!
       write(6,"(/,72('-'))")
       end subroutine read_saber
 !-----------------------------------------------------------------------
@@ -348,12 +351,12 @@ subroutine read_tidi(ncfile,mtime0,mtime1)
 ! once per run from get_saber_tidi.
 !
 ! Args:
-      integer,intent(in) :: mtime0(3),mtime1(3)
+      integer,intent(in) :: mtime0(4),mtime1(4)
       character(len=*),intent(in) :: ncfile
 !
 ! Local:
-      integer :: ncid,istat,i,ntime,istart_tidi,istop_tidi
-      integer :: idv_u,idv_v,itime,j
+      integer :: ncid,istat,ntime,istart_tidi,istop_tidi
+      integer :: idv_u,idv_v
       integer :: start(3),count(3)
       character(len=mxlen_filename) :: dskfile
       character(len=80) :: units_u,units_v
@@ -363,8 +366,8 @@ subroutine read_tidi(ncfile,mtime0,mtime1)
       write(6,"(/,72('-'))")
 !
 ! Open netcdf file:
-      call nc_open(ncid,dskfile,'OLD','READ')
-      if (ncid==0) then
+      istat = nf_open(dskfile,NF_NOWRITE,ncid)
+      if (istat /= NF_NOERR) then
         write(6,"(/,'>>> read_tidi: error opening netcdf tidi ',
      |    'file ',a,' dskfile ',a)") trim(ncfile),trim(dskfile)
         call shutdown('read_tidi')
@@ -451,7 +454,10 @@ subroutine read_tidi(ncfile,mtime0,mtime1)
      |  minval(tidi_data_u),maxval(tidi_data_u),trim(units_u)
       write(6,"('V perturbations data min,max=',2e12.4,' (',a,')')") 
      |  minval(tidi_data_v),maxval(tidi_data_v),trim(units_v)
-
+!
+! Close netcdf file:
+      istat = nf_close(ncid)
+!
       write(6,"(72('-'))")
       end subroutine read_tidi
 !-----------------------------------------------------------------------
@@ -463,7 +469,7 @@ subroutine interp_saber(mtime)
       use mpi_module,only: lon0,lon1,lat0,lat1
 !
 ! Args:
-      integer,intent(in) :: mtime(3)
+      integer,intent(in) :: mtime(4)
 !
 ! Local:
       integer :: ndays,i,j,i0,i1,istat,ibeg,iend
@@ -474,7 +480,7 @@ subroutine interp_saber(mtime)
       ndays = 365
       if (mod(iyear,4) == 0) ndays = 366
       yfrac = iyear+(mtime(1)-1+(mtime(2)/24.)+
-     |    (mtime(3)/(24.*60.)))/float(ndays)
+     |    (mtime(3)/(24.*60.))+mtime(4)/86400.)/float(ndays)
 !
 ! Bracket model time between data i0,i1 times:
       i0 = 0 ; i1 = 0
@@ -487,7 +493,7 @@ subroutine interp_saber(mtime)
       enddo
       if (i0==0.and.i1==0) then
         write(6,"('>>> interp_saber: could not bracket model yfrac',
-     |    ' =',f15.6,' mtime=',3i5)") yfrac,mtime
+     |    ' =',f15.6,' mtime=',4i5)") yfrac,mtime
         call shutdown('interp_saber')
       endif
 !
@@ -510,11 +516,9 @@ subroutine interp_saber(mtime)
       do j=lat0,lat1
         do i=ibeg,iend
           saber_t(i,j) = finterp1(saber_data_t(i-2,j,i0),
-     |      saber_data_t(i-2,j,i1),saber_yfrac(i0),saber_yfrac(i1),
-     |      yfrac)
+     |      saber_data_t(i-2,j,i1),saber_yfrac(i0),saber_yfrac(i1))
           saber_z(i,j) = finterp1(saber_data_z(i-2,j,i0),
-     |      saber_data_z(i-2,j,i1),saber_yfrac(i0),saber_yfrac(i1),
-     |      yfrac)
+     |      saber_data_z(i-2,j,i1),saber_yfrac(i0),saber_yfrac(i1))
         enddo ! i=lon0,lon1
 
 !       write(6,"('before set_per: j=',i4,' ibeg,iend=',2i4,
@@ -527,7 +531,7 @@ subroutine interp_saber(mtime)
       call set_periodic(saber_z,lon0,lon1,lat0,lat1)
 
       if (time2print(nstep,istep))
-     |  write(6,"('interp_saber: mtime=',3i4,' saber_t min,max=',
+     |  write(6,"('interp_saber: mtime=',4i4,' saber_t min,max=',
      |    2e12.4,' saber_z min,max=',2e12.4)") mtime,
      |    minval(saber_t),maxval(saber_t),
      |    minval(saber_z),maxval(saber_z)
@@ -542,7 +546,7 @@ subroutine interp_tidi(mtime)
       use mpi_module,only: lon0,lon1,lat0,lat1
 !
 ! Args:
-      integer,intent(in) :: mtime(3)
+      integer,intent(in) :: mtime(4)
 !
 ! Local:
       integer :: ndays,i,j,i0,i1,istat,ibeg,iend
@@ -553,7 +557,7 @@ subroutine interp_tidi(mtime)
       ndays = 365
       if (mod(iyear,4) == 0) ndays = 366
       yfrac = iyear+(mtime(1)-1+(mtime(2)/24.)+
-     |    (mtime(3)/(24.*60.)))/float(ndays)
+     |    (mtime(3)/(24.*60.))+mtime(4)/86400.)/float(ndays)
 !
 ! Bracket model time between data i0,i1 times:
       i0 = 0 ; i1 = 0
@@ -566,7 +570,7 @@ subroutine interp_tidi(mtime)
       enddo
       if (i0==0.and.i1==0) then
         write(6,"('>>> interp_tidi: could not bracket model yfrac',
-     |    ' =',f15.6,' mtime=',3i5)") yfrac,mtime
+     |    ' =',f15.6,' mtime=',4i5)") yfrac,mtime
         call shutdown('interp_tidi')
       endif
 !
@@ -589,11 +593,9 @@ subroutine interp_tidi(mtime)
       do j=lat0,lat1
         do i=ibeg,iend
           tidi_u(i,j) = finterp1(tidi_data_u(i-2,j,i0),
-     |      tidi_data_u(i-2,j,i1),tidi_yfrac(i0),tidi_yfrac(i1),
-     |      yfrac)
+     |      tidi_data_u(i-2,j,i1),tidi_yfrac(i0),tidi_yfrac(i1))
           tidi_v(i,j) = finterp1(tidi_data_v(i-2,j,i0),
-     |      tidi_data_v(i-2,j,i1),tidi_yfrac(i0),tidi_yfrac(i1),
-     |      yfrac)
+     |      tidi_data_v(i-2,j,i1),tidi_yfrac(i0),tidi_yfrac(i1))
         enddo
       enddo
 !
@@ -602,38 +604,32 @@ subroutine interp_tidi(mtime)
       call set_periodic(tidi_v,lon0,lon1,lat0,lat1)
 
       if (time2print(nstep,istep))
-     |  write(6,"('interp_tidi:  mtime=',3i4,' tidi_u min,max =',
+     |  write(6,"('interp_tidi:  mtime=',4i4,' tidi_u min,max =',
      |    2e12.4,' tidi_v min,max =',2e12.4)") mtime,
      |    minval(tidi_u),maxval(tidi_u),
      |    minval(tidi_v),maxval(tidi_v)
 
       end subroutine  interp_tidi
 !-----------------------------------------------------------------------
-      real function finterp1(f0,f1,frac0,frac1,frac)
+      real function finterp1(f0,f1,frac0,frac1)
 !
 ! Args:
-      real,intent(in) :: f0,f1,frac0,frac1,frac
+      real,intent(in) :: f0,f1,frac0,frac1
 !
       finterp1 = f0+(f1-f0)*(frac1-frac0)/(frac1-frac0)
       end function finterp1
 !-----------------------------------------------------------------------
       subroutine set_periodic(f,lon0,lon1,lat0,lat1)
-      use params_module,only: nlonp4
-#ifdef MPI
       use mpi_module,only: mp_periodic_f2d
-#endif
 !
 ! lons 1,2 <- nlonp4-3,nlonp4-2 and nlonp4-1,nlonp4 <- 3,4
 ! lons 1,2 <- 72,73 and lons 75,76 <- 3,4
 !
       integer,intent(in) :: lon0,lon1,lat0,lat1
       real,intent(inout) :: f(lon0:lon1,lat0:lat1)
-#ifdef MPI
+
       call mp_periodic_f2d(f,lon0,lon1,lat0,lat1,1)
-#else
-      f(1:2,:)              = f(nlonp4-3:nlonp4-2,:)
-      f(nlonp4-1:nlonp4,:)  = f(3:4,:)
-#endif
+
       end subroutine set_periodic
 !-----------------------------------------------------------------------
       end module saber_tidi
diff --git a/src/settei.F b/src/settei.F
index eaeb028..c74039a 100644
--- a/src/settei.F
+++ b/src/settei.F
@@ -1,6 +1,6 @@
 ! 
-      subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
-     |  te_out,ti_out,lev0,lev1,lon0,lon1,lat)
+      subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,xnmbar,xnmbari,
+     |  scht,schti,qji_ti,Qa,Q2,te_out,ti_out,lev0,lev1,lon0,lon1,lat)
 !
 ! This software is part of the NCAR TIE-GCM.  Use is governed by the 
 ! Open Source Academic Research License Agreement contained in the file 
@@ -9,9 +9,9 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
 ! Calculate electron and ion temperatures.
 !
       use params_module,only: dz,nlonp4,spval
-      use cons_module,only: pi,rtd,evergs,p0,expz,expzmid,expzmid_inv,
-     |  boltz,rmassinv_o2,rmassinv_o1,rmassinv_n2,gask,grav,dipmin,avo
-      use input_module,only: f107
+      use cons_module,only: pi,rtd,evergs,
+     |  rmassinv_o2,rmassinv_o1,rmassinv_n2,dipmin,avo
+      use input_module,only: f107,et
       use chapman_module,only: chi   ! solar zenith angle (nlonp4,nlat)
       use magfield_module,only: rlatm,dipmag
       use aurora_module,only: qteaur ! (nlonp4,nlat)
@@ -40,8 +40,12 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
      |  op,      ! O+
      |  o2p,     ! O2+
      |  nop,     ! NO+
-     |  barm,    ! mean molecular weight
-     |  qji_ti   ! joule heating from qjoule_ti (used ui,vi)
+     |  xnmbar,  ! p0*e(-z)*mbar/kT  (midpoints)
+     |  xnmbari, ! p0*e(-z)*barm/kT  (interfaces)
+     |  scht,    ! scale height (midpoints)
+     |  schti,   ! scale height (interfaces)
+     |  qji_ti,  ! joule heating from qjoule_ti (used ui,vi)
+     |  Qa,Q2    ! electrojet turbulent heating
 !
 ! Output args:
       real,dimension(lev0:lev1,lon0-2:lon1+2),intent(out) ::
@@ -63,7 +67,6 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
      |  o2n,       ! O2 number density (midpoints or interfaces)
      |  o1n,       ! O1 number density (midpoints or interfaces)
      |  n2n,       ! N2 number density (midpoints or interfaces)
-     |  xnmbar,    ! p0*e(-z)*barm/kT  (minpoints or interfaces)
      |  root_te,   ! sqrt(te)
      |  root_tn,   ! sqrt(tn)
      |  root_ne,   ! sqrt(ne)
@@ -117,8 +120,6 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
      |  chi_ki,      ! for diagnostic plotting of chi
      |  qteaur_ki,   ! for diagnostic plotting of qteaur
      |  sindipmag_ki ! for diagnostic plotting of sindipmag
-!
-      real,dimension(lev0:lev1) :: expzp ! e(-z) (midpoints or interfaces)
 !
 #ifdef VT
 !     code = 126 ; state = 'settei' ; activity='ModelCode'
@@ -137,12 +138,23 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
       do i=lon0,lon1
         if (abs(rlatm(i,lat))-pi/4.5 >= 0.) then
           a(i) = 1.
-        else
-          a(i) = .5*(1.+sin(pi*(abs(rlatm(i,lat))-pi/9.)/(pi/4.5)))
+!       else
+!         a(i) = .5*(1.+sin(pi*(abs(rlatm(i,lat))-pi/9.)/(pi/4.5)))
+! Dang, 2019, set a(i)=0 between +10 and -10 magnetic latitude          
+        elseif (abs(rlatm(i,lat))-pi/18 <= 0.) then
+          a(i) = 0.
+        else 
+! Dang, 2019, change parameter: pi/9.->pi/12., pi/4.5->6, per Hanli and Wenbin
+!         a(i) = .5*(1.+sin(pi*(abs(rlatm(i,lat))-pi/12.)/(pi/6.)))
+! Pham, 2021, try to fix huge gradients in low lat 
+          a(i) = .5*(1.+cos(pi*(abs(rlatm(i,lat))-pi/4.5)/(pi/6.)))
         endif 
 !
 ! Increased heat flux for TE fom protonosphere.
-        fed(i) = ( -5.0e+7*f107te*a(i)-4.0e+7*f107te)*1.2
+!       fed(i) = ( -5.0e+7*f107te*a(i)-4.0e+7*f107te)*1.2
+! Dang, 2019, FeDCoef2 yields a non-zero downward flux at the equator.
+! Remove per Wenbin's suggestion, and FeDCoef1 is changed from -5e7 to -9e7.
+        fed(i) = -9.0e+7*f107te*a(i)
         fen(i) = fed(i)/2.
         fed(i) = fed(i)+qteaur(i,lat)     ! t4
         fen(i) = fen(i)+qteaur(i,lat)     ! t5
@@ -230,17 +242,11 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !
 ! Convert o2,o,n2 to number density (interfaces):
-      do k=lev0,lev1-1
-        expzp(k) = expzmid_inv*expz(k)
-      enddo ! k=lev0,lev1
-      expzp(lev1) = expzmid*expz(lev1-1)
       do i=lon0,lon1
         do k=lev0,lev1
-! xnmbar at interfaces:
-          xnmbar(k,i) = p0*expzp(k)*barm(k,i)/(boltz*tn_int(k,i)) ! s8
-          o2n(k,i) = xnmbar(k,i)*o2n(k,i)*rmassinv_o2       ! s13
-          o1n(k,i) = xnmbar(k,i)*o1n(k,i)*rmassinv_o1       ! s12
-          n2n(k,i) = xnmbar(k,i)*n2n(k,i)*rmassinv_n2       ! s11
+          o2n(k,i) = xnmbari(k,i)*o2n(k,i)*rmassinv_o2       ! s13
+          o1n(k,i) = xnmbari(k,i)*o1n(k,i)*rmassinv_o1       ! s12
+          n2n(k,i) = xnmbari(k,i)*n2n(k,i)*rmassinv_n2       ! s11
           root_te(k,i) = sqrt(te_int(k,i))
 !
           tek0(k,i) = 7.5e5/
@@ -253,17 +259,17 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 
-!     call addfld('XNMBARI',' ',' ',xnmbar,
+!     call addfld('XNMBARI',' ',' ',xnmbari(:,lon0:lon1),
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 !     call addfld('TEK0'   ,' ',' ',tek0  ,
 !    |  'lev',lev0,lev1,'lon',lon0,lon1,lat)
 
       do i=lon0,lon1
         do k=lev0,lev1-1
-          h_mid(k,i) = gask*tn(k,i)/(.5*(barm(k,i)+barm(k+1,i))*grav) ! s7
+          h_mid(k,i) = scht(k,i)  ! s7
         enddo ! k=lev0,lev1-1
         do k=lev0,lev1
-          h_int(k,i) = gask*tn_int(k,i)/(barm(k,i)*grav)              ! s6
+          h_int(k,i) = schti(k,i) ! s6
         enddo ! k=lev0,lev1
       enddo ! i=lon0,lon1
 
@@ -402,24 +408,29 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
 !
       do i=lon0,lon1 ! (DO 20)
         do k=lev0,lev1-1
-          xnmbar(k,i) = p0*expz(k)*.5*(barm(k,i)+barm(k+1,i))/
-     |      (boltz*tn(k,i))
           o2n(k,i) = xnmbar(k,i)*o2(k,i)*rmassinv_o2  ! s14
           o1n(k,i) = xnmbar(k,i)*o1(k,i)*rmassinv_o1  ! s13
-          n2n(k,i) = n2(k,i)
-          if (n2n(k,i) < 0.) n2n(k,i) = 0.
-          n2n(k,i) = xnmbar(k,i)*n2n(k,i)*rmassinv_n2 ! s12
+          n2n(k,i) = xnmbar(k,i)*n2(k,i)*rmassinv_n2  ! s12
 !
 ! Calculate source term qe (s10)
 ! Comment from earlier version (maybe the *1.0 below was once *2.0):
 !   "Correction facor of 2 increase in TE heating rate"
 !
-          qe(k,i) = alog(root_ne(k,i)/(o2n(k,i)+n2n(k,i)+0.1*o1n(k,i)))
-          qe(k,i) = exp(-((((0.001996*qe(k,i)+0.08034)*qe(k,i)+1.166)*
-     |              qe(k,i)+6.941)*qe(k,i)+12.75))*1.0
+!         qe(k,i) = alog(root_ne(k,i)/(o2n(k,i)+n2n(k,i)+0.1*o1n(k,i)))
+!         qe(k,i) = exp(-((((0.001996*qe(k,i)+0.08034)*qe(k,i)+1.166)*
+!    |              qe(k,i)+6.941)*qe(k,i)+12.75))*1.0
+! Modified according to Smithtro & Solomon (2008), by Yihui Cai, 2021/10
+          qe(k,i) = alog(root_ne(k,i)/(o2n(k,i)+n2n(k,i)+1.0*o1n(k,i)))
+          qe(k,i) = exp(-((((((0.00001249*qe(k,i)+0.0005755)*qe(k,i)
+     |              +0.009346)*qe(k,i)+0.059)*qe(k,i)+0.04392)*
+     |              qe(k,i)-1.056)*qe(k,i)-5.342))*1.0
 !
 ! Subtract qe from right-hand-side:
           rhs(k,i) = rhs(k,i)-qe(k,i)*qtot(k,i)*evergs
+!
+! Subtract electrojet turbulent heating from rhs
+          if (et) rhs(k,i) = rhs(k,i)-Qa(k,i)*10.0
+!
           root_te(k,i) = sqrt(te(k,i))
 !
 ! Electron/N2 collision A(E,N2,VIB) (s9):
@@ -442,7 +453,7 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
         enddo ! k=lev0,lev1-1
       enddo ! i=lon0,lon1 (end DO 20)
 
-!     call addfld('XNMBARM',' ',' ',xnmbar(lev0:lev1-1,:),
+!     call addfld('XNMBAR',' ',' ',xnmbar(lev0:lev1-1,lon0:lon1),
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
 !     call addfld('O2N'    ,' ',' ',o2n(lev0:lev1-1,:)   ,
 !    |  'lev',lev0,lev1-1,'lon',lon0,lon1,lat)
@@ -471,6 +482,10 @@ subroutine settei(tn,o2,o1,n2,ne,te,ti,op,o2p,nop,barm,qji_ti,
 !
         loss_en(k,i) = loss_en2(k,i)
 !
+! cooling correction
+        if (et .and. te(k,i)>500.0 .and. Q2(k,i)>0.0)
+     |    loss_en(k,i)=loss_en(k,i)*exp(-7.54E-4*(te(k,i)-500.0))
+!
 ! Electron/O2 loss rates: (L0(E,O2)+L0(E,O2,ROT)+L0(E,O2,VIB)/NE
 !
           loss_eo2(k,i) = o2n(k,i)*(1.21e-18*(1.+3.6e-2*root_te(k,i))*
diff --git a/src/soldata.F b/src/soldata.F
index 5a95fcf..6721980 100644
--- a/src/soldata.F
+++ b/src/soldata.F
@@ -7,11 +7,7 @@ module soldata_module
 !
       use input_module,only: see_ncfile
       implicit none
-#ifdef SUN
-#include <netcdf3.inc>
-#else
 #include <netcdf.inc>
-#endif
       integer :: 
      |  nstruct,    ! # of structure_elements (unlimited dim)
      |  ndate,      ! # dates
@@ -219,13 +215,13 @@ subroutine rd_soldata
       write(6,"('Finished reading solar flux data',/,72('-'))")
       end subroutine rd_soldata
 !-------------------------------------------------------------------
-      subroutine get_soldata(iyear,iday,iutsec,istep)
+      subroutine get_soldata(iyear,iday,iutsec)
 !
 ! Args:
-      integer,intent(in) :: iyear,iday,iutsec,istep
+      integer,intent(in) :: iyear,iday,iutsec
 !
 ! Local:
-      integer :: index,index1,index2,i
+      integer :: index,index1,index2
       real :: iuttime,iyfrac
       integer,parameter :: istruct = 1
 !
diff --git a/src/sphpac.F b/src/sphpac.F
index 46f0778..6f20681 100644
--- a/src/sphpac.F
+++ b/src/sphpac.F
@@ -111,7 +111,9 @@ subroutine alfk (n,m,cp)
       cp(1) = 0.
       ma = iabs(m)
       if(ma .gt. n) return
-      if(n-1) 2,3,5
+      if(n-1<0) go to 2
+      if(n-1==0) go to 3
+      if(n-1>0) go to 5
     2 cp(1) = sqrt(2.)
       return
     3 if(ma .ne. 0) go to 4
@@ -134,23 +136,23 @@ subroutine alfk (n,m,cp)
       nex = 20
       fden = 2.
       if(nmms2 .lt. 1) go to 20
-      do 18 i=1,nmms2
-      t1 = fnum*t1/fden
-      if(t1 .gt. sc20) then
-      t1 = t1/sc40
-      nex = nex+40
-      end if
-      fnum = fnum+2.
-      fden = fden+2.
-   18 continue
+      do i=1,nmms2
+        t1 = fnum*t1/fden
+        if(t1 .gt. sc20) then
+          t1 = t1/sc40
+          nex = nex+40
+        end if
+        fnum = fnum+2.
+        fden = fden+2.
+      enddo
    20 t1 = t1/2.**(n-1-nex)
       if(mod(ma/2,2) .ne. 0) t1 = -t1
       t2 = 1. 
       if(ma .eq. 0) go to 26
-      do 25 i=1,ma
-      t2 = fnmh*t2/(fnmh+pm1)
-      fnmh = fnmh+2.
-   25 continue
+      do i=1,ma
+        t2 = fnmh*t2/(fnmh+pm1)
+        fnmh = fnmh+2.
+      enddo
    26 cp2 = t1*sqrt((n+.5)*t2)
       fnnp1 = n*(n+1)
       fnmsq = fnnp1-2.*ma*ma
@@ -266,7 +268,7 @@ subroutine alfk (n,m,cp)
 c                        notes by paul n. swarztrauber)
 c
       subroutine lfim (init,theta,l,n,nm,pb,id,wlfim)
-      dimension       pb(1)        ,wlfim(1)
+      dimension       pb(1)        ,wlfim(1)        ,theta(1)
 c
 c     total length of wlfim is 4*l*(nm+1)
 c
@@ -289,86 +291,90 @@ subroutine lfim1(init,theta,l,n,nm,id,p3,phz,ph1,p1,p2,cp)
       nmp1 = nm+1
       if(init .ne. 0) go to 5
       ssqrt2 = 1./sqrt(2.)
-      do 10 i=1,l
-      phz(i,1) = ssqrt2
-   10 continue
-      do 15 np1=2,nmp1
-      nh = np1-1
-      call alfk(nh,0,cp)
-      do 16 i=1,l
-      call lfpt(nh,0,theta(i),cp,phz(i,np1))
-   16 continue
-      call alfk(nh,1,cp)
-      do 17 i=1,l
-      call lfpt(nh,1,theta(i),cp,ph1(i,np1))
-   17 continue
-   15 continue
+      do i=1,l
+        phz(i,1) = ssqrt2
+      enddo
+      do np1=2,nmp1
+        nh = np1-1
+        call alfk(nh,0,cp)
+        do i=1,l
+          call lfpt(nh,0,theta(i),cp,phz(i,np1))
+        enddo
+        call alfk(nh,1,cp)
+        do i=1,l
+          call lfpt(nh,1,theta(i),cp,ph1(i,np1))
+        enddo
+      enddo
       return
     5 if(n .gt. 2) go to 60
-      if(n-1)25,30,35
-   25 do 45 i=1,l
-      p3(i,1)=phz(i,1)
-   45 continue
+      if(n-1<0) go to 25
+      if(n-1==0) go to 30
+      if(n-1>0) go to 35
+   25 do i=1,l
+        p3(i,1)=phz(i,1)
+      enddo
       return
-   30 do 50 i=1,l
-      p3(i,1) = phz(i,2)
-      p3(i,2) = ph1(i,2)
-   50 continue
+   30 do i=1,l
+        p3(i,1) = phz(i,2)
+        p3(i,2) = ph1(i,2)
+      enddo
       return
    35 sq5s6 = sqrt(5./6.)
       sq1s6 = sqrt(1./6.)
-      do 55 i=1,l
-      p3(i,1) = phz(i,3)
-      p3(i,2) = ph1(i,3)
-      p3(i,3) = sq5s6*phz(i,1)-sq1s6*p3(i,1)
-      p1(i,1) = phz(i,2)
-      p1(i,2) = ph1(i,2)
-      p2(i,1) = phz(i,3)
-      p2(i,2) = ph1(i,3)
-      p2(i,3) = p3(i,3)
-   55 continue
+      do i=1,l
+        p3(i,1) = phz(i,3)
+        p3(i,2) = ph1(i,3)
+        p3(i,3) = sq5s6*phz(i,1)-sq1s6*p3(i,1)
+        p1(i,1) = phz(i,2)
+        p1(i,2) = ph1(i,2)
+        p2(i,1) = phz(i,3)
+        p2(i,2) = ph1(i,3)
+        p2(i,3) = p3(i,3)
+      enddo
       return
    60 nm1 = n-1
       np1 = n+1
       fn = float(n)
       tn = fn+fn
       cn = (tn+1.)/(tn-3.)
-      do 65 i=1,l
-      p3(i,1) = phz(i,np1)
-      p3(i,2) = ph1(i,np1)
-   65 continue
+      do i=1,l
+        p3(i,1) = phz(i,np1)
+        p3(i,2) = ph1(i,np1)
+      enddo
       if(nm1 .lt. 3) go to 71
-      do 70 mp1=3,nm1
-      m = mp1-1
-      fm = float(m)
-      fnpm = fn+fm
-      fnmm = fn-fm
-      temp = fnpm*(fnpm-1.)
-      cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
-      dd = sqrt(cn*fnmm*(fnmm-1.)/temp)
-      ee = sqrt((fnmm+1.)*(fnmm+2.)/temp)
-      do 70 i=1,l
-      p3(i,mp1) = cc*p1(i,mp1-2)+dd*p1(i,mp1)-ee*p3(i,mp1-2)
-   70 continue
+      do mp1=3,nm1
+        m = mp1-1
+        fm = float(m)
+        fnpm = fn+fm
+        fnmm = fn-fm
+        temp = fnpm*(fnpm-1.)
+        cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
+        dd = sqrt(cn*fnmm*(fnmm-1.)/temp)
+        ee = sqrt((fnmm+1.)*(fnmm+2.)/temp)
+      enddo
+      do i=1,l
+        p3(i,mp1) = cc*p1(i,mp1-2)+dd*p1(i,mp1)-ee*p3(i,mp1-2)
+      enddo
    71 fnpm = fn+fn-1.
       temp = fnpm*(fnpm-1.)
       cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
       ee = sqrt(6./temp)
-      do 75 i=1,l
-      p3(i,n) = cc*p1(i,n-2)-ee*p3(i,n-2)
-   75 continue
+      do i=1,l
+        p3(i,n) = cc*p1(i,n-2)-ee*p3(i,n-2)
+      enddo
       fnpm = fn+fn
       temp = fnpm*(fnpm-1.)
       cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
       ee = sqrt(2./temp)
-      do 80 i=1,l
-      p3(i,n+1) = cc*p1(i,n-1)-ee*p3(i,n-1)
-   80 continue
-      do 90 mp1=1,np1
-      do 90 i=1,l
-      p1(i,mp1) = p2(i,mp1)
-      p2(i,mp1) = p3(i,mp1)
-   90 continue
+      do i=1,l
+        p3(i,n+1) = cc*p1(i,n-1)-ee*p3(i,n-1)
+      enddo
+      do mp1=1,np1
+        do i=1,l
+          p1(i,mp1) = p2(i,mp1)
+          p2(i,mp1) = p3(i,mp1)
+        enddo
+      enddo
       return
       end
 c subroutine lfin (init,theta,l,m,nm,pb,id,wlfin)
@@ -463,7 +469,7 @@ subroutine lfim1(init,theta,l,n,nm,id,p3,phz,ph1,p1,p2,cp)
 c                        notes by paul n. swarztrauber)
 c
       subroutine lfin (init,theta,l,m,nm,pb,id,wlfin)
-      dimension       pb(1)        ,wlfin(1)
+      dimension       pb(1)        ,wlfin(1)        ,theta(1)
 c
 c     total length of wlfin is 4*l*(nm+1)
 c
@@ -481,71 +487,77 @@ subroutine lfin1(init,theta,l,m,nm,id,p3,phz,ph1,p1,p2,cp)
       nmp1 = nm+1
       if(init .ne. 0) go to 5
       ssqrt2 = 1./sqrt(2.)
-      do 10 i=1,l
-      phz(i,1) = ssqrt2
-   10 continue
-      do 15 np1=2,nmp1
-      nh = np1-1
-      call alfk(nh,0,cp)
-      do 16 i=1,l
-      call lfpt(nh,0,theta(i),cp,phz(i,np1))
-   16 continue
-      call alfk(nh,1,cp)
-      do 17 i=1,l
-      call lfpt(nh,1,theta(i),cp,ph1(i,np1))
-   17 continue
-   15 continue
+      do i=1,l
+        phz(i,1) = ssqrt2
+      enddo
+      do np1=2,nmp1
+        nh = np1-1
+        call alfk(nh,0,cp)
+        do i=1,l
+          call lfpt(nh,0,theta(i),cp,phz(i,np1))
+        enddo
+        call alfk(nh,1,cp)
+        do i=1,l
+          call lfpt(nh,1,theta(i),cp,ph1(i,np1))
+        enddo
+      enddo
       return
     5 mp1 = m+1
       fm = float(m)
       tm = fm+fm
-      if(m-1)25,30,35
-   25 do 45 np1=1,nmp1
-      do 45 i=1,l
-      p3(i,np1) = phz(i,np1)
-      p1(i,np1) = phz(i,np1)
-   45 continue
+      if(m-1<0) go to 25
+      if(m-1==0) go to 30
+      if(m-1>0) go to 35
+   25 do np1=1,nmp1
+        do i=1,l
+          p3(i,np1) = phz(i,np1)
+          p1(i,np1) = phz(i,np1)
+        enddo
+      enddo
       return
-   30 do 50 np1=2,nmp1
-      do 50 i=1,l
-      p3(i,np1) = ph1(i,np1)
-      p2(i,np1) = ph1(i,np1)
-   50 continue
+   30 do np1=2,nmp1
+        do i=1,l
+          p3(i,np1) = ph1(i,np1)
+          p2(i,np1) = ph1(i,np1)
+        enddo
+      enddo
       return
    35 temp = tm*(tm-1.)
       cc = sqrt((tm+1.)*(tm-2.)/temp)
       ee = sqrt(2./temp)
-      do 85 i=1,l
-      p3(i,m+1) = cc*p1(i,m-1)-ee*p1(i,m+1)
-   85 continue
+      do i=1,l
+        p3(i,m+1) = cc*p1(i,m-1)-ee*p1(i,m+1)
+      enddo
       if(m .eq. nm) return
       temp = tm*(tm+1.)
       cc = sqrt((tm+3.)*(tm-2.)/temp)
       ee = sqrt(6./temp)
-      do 70 i=1,l
-      p3(i,m+2) = cc*p1(i,m)-ee*p1(i,m+2)
-   70 continue
+      do i=1,l
+        p3(i,m+2) = cc*p1(i,m)-ee*p1(i,m+2)
+      enddo
       mp3 = m+3
       if(nmp1 .lt. mp3) go to 80
-      do 75 np1=mp3,nmp1
-      n = np1-1
-      fn = float(n)
-      tn = fn+fn
-      cn = (tn+1.)/(tn-3.)
-      fnpm = fn+fm
-      fnmm = fn-fm
-      temp = fnpm*(fnpm-1.)
-      cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
-      dd = sqrt(cn*fnmm*(fnmm-1.)/temp)
-      ee = sqrt((fnmm+1.)*(fnmm+2.)/temp)
-      do 75 i=1,l
-      p3(i,np1) = cc*p1(i,np1-2)+dd*p3(i,np1-2)-ee*p1(i,np1)
-   75 continue
-   80 do 90 np1=m,nmp1
-      do 90 i=1,l
-      p1(i,np1) = p2(i,np1)
-      p2(i,np1) = p3(i,np1)
-   90 continue
+      do np1=mp3,nmp1
+        n = np1-1
+        fn = float(n)
+        tn = fn+fn
+        cn = (tn+1.)/(tn-3.)
+        fnpm = fn+fm
+        fnmm = fn-fm
+        temp = fnpm*(fnpm-1.)
+        cc = sqrt(cn*(fnpm-3.)*(fnpm-2.)/temp)
+        dd = sqrt(cn*fnmm*(fnmm-1.)/temp)
+        ee = sqrt((fnmm+1.)*(fnmm+2.)/temp)
+      enddo
+      do i=1,l
+        p3(i,np1) = cc*p1(i,np1-2)+dd*p3(i,np1-2)-ee*p1(i,np1)
+      enddo
+   80 do np1=m,nmp1
+        do i=1,l
+          p1(i,np1) = p2(i,np1)
+          p2(i,np1) = p3(i,np1)
+        enddo
+      enddo
       return
       end
 c subroutine lfpt (n,m,theta,cp,pb)
@@ -622,27 +634,43 @@ subroutine lfpt (n,m,theta,cp,pb)
       pb = 0.
       ma = iabs(m)
       if(ma .gt. n) return
-      if (n)  10, 10, 30
-   10 if (ma)  20, 20, 30
+      if (n<=0) then
+        go to 10
+      else
+        go to 30
+      endif
+   10 if (ma<=0) then
+        go to 20
+      else
+        go to 30
+      endif
    20 pb= sqrt(.5)
       go to 140
    30 np1 = n+1
       nmod = mod(n,2)
       mmod = mod(ma,2)
-      if (nmod)  40, 40, 90
-   40 if (mmod)  50, 50, 70
+      if (nmod<=0) then
+        go to 40
+      else
+        go to 90
+      endif
+   40 if (mmod<=0) then
+        go to 50
+      else
+        go to 70
+      endif
    50 kdo = n/2+1
       cdt = cos(theta+theta)
       sdt = sin(theta+theta)
       ct = 1.
       st = 0.
       sum = .5*cp(1)
-      do  60 kp1=2,kdo
+      do kp1=2,kdo
          cth = cdt*ct-sdt*st
          st = sdt*ct+cdt*st
          ct = cth
          sum = sum+cp(kp1)*ct
-   60 continue
+      enddo
       pb= sum
       go to 140
    70 kdo = n/2
@@ -651,27 +679,31 @@ subroutine lfpt (n,m,theta,cp,pb)
       ct = 1.
       st = 0.
       sum = 0.
-      do  80 k=1,kdo
+      do k=1,kdo
          cth = cdt*ct-sdt*st
          st = sdt*ct+cdt*st
          ct = cth
          sum = sum+cp(k)*st
-   80 continue
+      enddo
       pb= sum
       go to 140
    90 kdo = (n+1)/2
-      if (mmod) 100,100,120
+      if (mmod<=0) then
+        go to 100
+      else
+        go to 120
+      endif
   100 cdt = cos(theta+theta)
       sdt = sin(theta+theta)
       ct = cos(theta)
       st = -sin(theta)
       sum = 0.
-      do 110 k=1,kdo
+      do k=1,kdo
          cth = cdt*ct-sdt*st
          st = sdt*ct+cdt*st
          ct = cth
          sum = sum+cp(k)*ct
-  110 continue
+      enddo
       pb= sum
       go to 140
   120 cdt = cos(theta+theta)
@@ -679,12 +711,12 @@ subroutine lfpt (n,m,theta,cp,pb)
       ct = cos(theta)
       st = -sin(theta)
       sum = 0.
-      do 130 k=1,kdo
+      do k=1,kdo
          cth = cdt*ct-sdt*st
          st = sdt*ct+cdt*st
          ct = cth
          sum = sum+cp(k)*st
-  130 continue
+      enddo
       pb= sum
   140 return
       end
diff --git a/src/subaur.F90 b/src/subaur.F90
new file mode 100644
index 0000000..be4c33a
--- /dev/null
+++ b/src/subaur.F90
@@ -0,0 +1,248 @@
+module subaur_module
+!-----------------------------------------------------------------------
+! Copyright 2009 The Johns Hopkins University Applied Physics Laboratory
+! All rights reserved.
+!
+! +
+!   SAPS Electric Field Model
+!   Principal Investigator and Contact:
+!   Dr. Elsayed Talaat, Johns Hopkins University Applied Physics Laboratory
+! +
+!
+! Software History:
+!   Aug 27, 2009 - version 1.0
+!   Sep 2020, refactored using F90 grammar, by Haonan Wu
+!
+! Author:
+!   Syau-Yun Hsieh, Johns Hopkins University, Applied Physics Laboratory
+!-----------------------------------------------------------------------
+  implicit none
+
+  integer, parameter :: nmlt=48, nalat=40, nkp=9
+  real, dimension(nmlt) :: mlt
+  real, dimension(nalat) :: alat
+  real, dimension(nkp) :: kp
+  real, dimension(nmlt, nalat, nkp) :: ve, vn, vv
+
+  contains
+!-----------------------------------------------------------------------
+! Name:
+!   init_saps
+!
+! Purpose:
+!   - used to initialize the SAPS Model 
+!
+! Calling Sequence:
+!   call init_saps
+!
+! Inputs:
+!   None
+!
+! Outputs:
+!   None
+!-----------------------------------------------------------------------
+  subroutine init_saps
+
+    use input_module, only: vedata, vndata, vvdata
+
+    integer :: ios, i, j, k
+    external :: shutdown
+
+    do i = 1, nkp
+      kp(i) = i
+    enddo
+    do i = 1, nmlt
+      mlt(i) = (i-1)*0.5
+    enddo
+    do i = 1, nalat
+      alat(i) = (i-1)*0.25
+    enddo
+
+    open(unit=79, file=trim(vedata),iostat=ios,status='old')
+    if (ios /= 0) call shutdown('Error opening VEDATA')
+    read(79,*)(((ve(i,j,k),i=1,nmlt),j=1,nalat),k=1,nkp)
+    close(79)
+
+    open(unit=79, file=trim(vndata),iostat=ios,status='old')
+    if (ios /= 0) call shutdown('Error opening VNDATA')
+    read(79,*)(((vn(i,j,k),i=1,nmlt),j=1,nalat),k=1,nkp)
+    close(79)
+
+    open(unit=79, file=trim(vvdata),iostat=ios,status='old')
+    if (ios /= 0) call shutdown('Error opening VVDATA')
+    read(79,*)(((vv(i,j,k),i=1,nmlt),j=1,nalat),k=1,nkp)
+    close(79)
+
+  end subroutine init_saps
+!-----------------------------------------------------------------------
+! Name:
+!   subaur_drift
+!
+! Purpose:
+!   - used to obtain the subauroral drift [v-north,v-east,v-vertical]
+!     from SAPS electric field model
+!
+! Calling Sequence:
+!   call subaur_drift(ualat, umlt, ukp, vn1, ve1, vv1)
+!
+! Inputs:
+!   ualat - auroral latitudes
+!   umlt  - magnetic local time
+!   ukp   - Kp index
+!
+! Outputs:
+!   None
+!-----------------------------------------------------------------------
+  subroutine subaur_drift(ualat, umlt, ukp, vn1, ve1, vv1)
+
+    real, intent(in) :: ualat, umlt, ukp
+    real, intent(out) :: ve1, vn1, vv1
+
+    integer :: k1, k2, k3
+    real :: yp1, ypn, &
+      ye1_new, yn1_new, yv1_new, &
+      ye2_new, yn2_new, yv2_new, &
+      ye3_new, yn3_new, yv3_new
+    real, dimension(nkp) :: x1, y12, ye1, yn1, yv1
+    real, dimension(nmlt) :: x2, y22, ye2, yn2, yv2
+    real, dimension(nalat) :: x3, y32, ye3, yn3, yv3
+
+    yp1 = 1.e30
+    ypn = 1.e30
+
+    do k1 = 1, nkp
+      do k2 = 1, nmlt
+        do k3 = 1, nalat
+          x3(k3)  = alat(k3)
+          ye3(k3) = ve(k2,k3,k1)
+          yn3(k3) = vn(k2,k3,k1)
+          yv3(k3) = vv(k2,k3,k1)
+        enddo
+
+        call spline(x3,ye3,nalat,yp1,ypn,y32)
+        call splint(x3,ye3,y32,nalat,ualat,ye3_new)
+        x2(k2) = mlt(k2)
+        ye2(k2) = ye3_new
+
+        call spline(x3,yn3,nalat,yp1,ypn,y32)
+        call splint(x3,yn3,y32,nalat,ualat,yn3_new)
+        yn2(k2) = yn3_new
+
+        call spline(x3,yv3,nalat,yp1,ypn,y32)
+        call splint(x3,yv3,y32,nalat,ualat,yv3_new)
+        yv2(k2) = yv3_new
+
+      enddo
+
+      call spline(x2,ye2,nmlt,yp1,ypn,y22) 
+      call splint(x2,ye2,y22,nmlt,umlt,ye2_new)
+      x1(k1) = kp(k1)
+      ye1(k1) = ye2_new
+
+      call spline(x2,yn2,nmlt,yp1,ypn,y22)
+      call splint(x2,yn2,y22,nmlt,umlt,yn2_new)
+      yn1(k1) = yn2_new
+
+      call spline(x2,yv2,nmlt,yp1,ypn,y22)
+      call splint(x2,yv2,y22,nmlt,umlt,yv2_new)
+      yv1(k1) = yv2_new
+
+    enddo
+
+    call spline(x1,ye1,nkp,yp1,ypn,y12)
+    call splint(x1,ye1,y12,nkp,ukp,ye1_new)
+
+    call spline(x1,yn1,nkp,yp1,ypn,y12)
+    call splint(x1,yn1,y12,nkp,ukp,yn1_new)
+
+    call spline(x1,yv1,nkp,yp1,ypn,y12)
+    call splint(x1,yv1,y12,nkp,ukp,yv1_new)
+
+    ve1 = ye1_new
+    vn1 = yn1_new
+    vv1 = yv1_new
+
+  end subroutine subaur_drift
+!----------------------------------------------------------------------------
+!   subroutine spline
+!   - used for cubic spline interpolation
+!   - adopted from Numerical Recipes
+!----------------------------------------------------------------------------
+  subroutine spline(x, y, n, yp1, ypn, y2)
+
+    integer, intent(in) :: n
+    real, intent(in) :: yp1, ypn
+    real, intent(in), dimension(n) :: x, y
+    real, intent(out), dimension(n) :: y2
+
+    integer :: i
+    real :: p, qn, sig, un
+    real, dimension(500) :: u
+
+    if (yp1 > 0.99e30) then
+      y2(1) = 0.
+      u(1)  = 0.
+    else
+      y2(1) = -0.5
+      u(1) = (3./(x(2)-x(1)))*((y(2)-y(1))/(x(2)-x(1))-yp1)
+    endif
+
+    do i=2,n-1
+      sig   = (x(i)-x(i-1)) / (x(i+1)-x(i-1))
+      p     = sig * y2(i-1) + 2.
+      y2(i) = (sig-1.) / p
+      u(i)  = (6.*((y(i+1)-y(i))/(x(i+1)-x(i))-(y(i)-y(i-1)) &
+              /(x(i)-x(i-1)))/(x(i+1)-x(i-1))-sig*u(i-1))/p
+    enddo
+
+    if (ypn > 0.99e30) then
+      qn = 0.
+      un = 0.
+    else
+      qn = 0.5
+      un = (3./(x(n)-x(n-1)))*(ypn-(y(n)-y(n-1))/(x(n)-x(n-1)))
+    endif
+
+    y2(n) = (un-qn*u(n-1))/(qn*y2(n-1)+1.)
+
+    do i = n-1,1,-1
+      y2(i) = y2(i)*y2(i+1)+u(i)
+    enddo
+
+  end subroutine spline
+!-----------------------------------------------------------------------
+!   subroutine splint
+!   - used to call subroutine spline for interpolations
+!   - adopted from Numerical Recipes
+!-----------------------------------------------------------------------
+  subroutine splint(xa, ya, y2a, n, x, y)
+
+    integer, intent(in) :: n
+    real, intent(in) :: x
+    real, intent(in), dimension(n) :: xa, ya, y2a
+    real, intent(out) :: y
+
+    integer :: k, khi, klo
+    real :: a, b, h
+
+    klo = 1
+    khi = n
+    do while (khi-klo > 1)
+      k = (khi+klo)/2
+      if (xa(k) > x) then
+        khi = k
+      else
+        klo = k
+      endif
+    enddo
+
+    h = xa(khi) - xa(klo)
+!   if (h == 0.) write(6,*) 'bad xa input in splint'
+    a = (xa(khi)-x)/h
+    b = (x-xa(klo))/h
+    y = a*ya(klo)+b*ya(khi)+ &
+      ((a**3-a)*y2a(klo)+(b**3-b)*y2a(khi))*(h**2)/6.
+
+  end subroutine splint
+!-----------------------------------------------------------------------
+end module subaur_module
diff --git a/src/swdot.F b/src/swdot.F
index 52495c9..a15dc18 100644
--- a/src/swdot.F
+++ b/src/swdot.F
@@ -10,7 +10,6 @@ subroutine swdot(un,vc,z,w,lev0,lev1,lon0,lon1,lat0,lat1)
       use cons_module,only: expzmid,dz
       use addfld_module,only: addfld
       use diags_module,only: mkdiag_WN
-      use mpi_module,only: mytid
       implicit none
 !
 ! Args:
@@ -68,14 +67,8 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 !
 ! Filter updated W omega:
 !
-      use params_module,only: nlat,nlonp4
-      use cons_module,only: kut
-      use filter_module,only: filter
-#ifdef MPI
+      use params_module,only: nlonp4
       use mpi_module,only: mp_gatherlons_f3d,mp_scatterlons_f3d,mytidi
-#else
-      integer :: mytidi=0
-#endif
 !
 ! Args:
       integer,intent(in) :: lev0,lev1,lon0,lon1,lat0,lat1
@@ -89,9 +82,8 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 #endif
 !
 ! Local:
-      integer :: i,j
+      integer :: i,j,ier
       real :: w_ik(nlonp4,lev0:lev1),w_kij(lev0:lev1,nlonp4,lat0:lat1)
-      real :: fmin,fmax
 !
 #ifdef VT
 !     code = 125 ; state = 'filter_w' ; activity='Filtering'
@@ -106,14 +98,11 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
         enddo
       enddo ! j=lat0,lat1
 !
-#ifdef MPI
-!
 ! Gather longitudes into tasks in first longitude column of task table
 !   (leftmost of each j-row) for global fft. (i.e., tasks with mytidi==0 
 !   gather lons from other tasks in that row). This includes all latitudes.
 !
       call mp_gatherlons_f3d(w_kij,lev0,lev1,lon0,lon1,lat0,lat1,1,name)
-#endif
 !
 ! Only leftmost tasks at each j-row of tasks does the global filtering:
       if (mytidi==0) then
@@ -124,8 +113,7 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
             w_ik(i,:) = w_kij(:,i,j)
           enddo ! i=1,nlonp4
 !
-! Remove wave numbers > kut(lat):
-          call filter(w_ik,lev0,lev1,kut(j),j)
+          call ringfilter(w_ik,lev0,lev1,3,name,j)
 !
 ! Return filtered array to w_kij:
           do i=1,nlonp4
@@ -133,7 +121,6 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
           enddo ! i=1,nlonp4
         enddo ! j=lat0,lat1
       endif ! mytidi==0
-#ifdef MPI
 !
 ! Now leftmost task at each j-row must redistribute filtered data
 ! back to other tasks in the j-row (mytidi>0,mytidj) (includes latitude):
@@ -145,7 +132,6 @@ subroutine filter_w(wout,lev0,lev1,lon0,lon1,lat0,lat1,name)
 !    |  ,2i4,' fkij(:,lon0:lon1,:) min,max=',2e12.4)") lon0,lon1,
 !    |  lat0,lat1,minval(w_kij(:,lon0:lon1,:)),
 !    |            maxval(w_kij(:,lon0:lon1,:))
-#endif
 !
 ! Return filtered array to wout at current task longitudes and latitudes:
       do j=lat0,lat1
diff --git a/src/tgcm.F b/src/tgcm.F
index acab489..8e49394 100644
--- a/src/tgcm.F
+++ b/src/tgcm.F
@@ -9,12 +9,10 @@ program tgcm
 !
 ! initial cvs import was tiegcm1
 !
-      use params_module,only: tgcm_version
-      use input_module,only: input,dynamo,step,cwd,pid,hpss_path,
+      use input_module,only: input,dynamo,step,cwd,hpss_path,
      |  potential_model,start_year
       use dispose_module,only: init_dispose
-      use fields_module,only: itp
-      use init_module,only: init,iyear
+      use init_module,only: init
       use hist_module,only: nstep
       use advance_module,only: advance
       use cons_module,only: init_cons
@@ -30,28 +28,21 @@ program tgcm
       use diags_module,only: init_diags
       use cons_module,only: consdyn,set_geogrid
       use mpitime_module,only: report_mpitime
-#ifdef MPI
       use mpi_module,only: mp_init,mp_close,mp_distribute_geo,
      |  mp_distribute_mag,mp_exchange_tasks,report_mpi_timing,
      |  mpi_timing,time_totalrun
       use my_esmf,only: esmf_init
-#endif
-#if defined(INTERCOMM) || defined(CISMAH)
-      use cism_coupling_module,only: initialize,finalize
-#endif
+      use mage_coupling_module,only:
+     |  initialize_coupling,finalize_coupling
 #ifdef OMP
 !     use omp_module,only: init_omp
 #endif
       implicit none
 !
 ! Local:
-      integer :: ier,icount_tgcm,icount_apex
+      integer :: ier
       real :: cpu1,cpu2
-      character(len=8) ::
-     |  rundate,           ! current local date
-     |  runtime            ! current local time
       real ::
-     |  time0,     time1,
      |  time0_apx, time1_apx,
      |  time0_run, time1_run,
      |  time0_init,time1_init
@@ -65,23 +56,10 @@ program tgcm
 !
 ! Report starting time and other info to stdout:
       call startup_message
-
-#ifdef INTERCOMM
-!
-! This code block is required for coupling with LFM (CMIT):
-!
-! InterComm 2.0 requires that IC_Setprogname be called prior to
-! MPI_Init.
-      call IC_Setprogname("tiegcm")
-#endif
-
 !
 ! Initialize MPI:
-#ifdef MPI
       call mp_init
       if (mpi_timing) starttime = mpi_wtime()
-#endif
-
 !
 ! Initialize timing (must be called after mp_init):
       call init_timer
@@ -96,7 +74,7 @@ program tgcm
 !
 ! Namelist read and input verification:
 !
-      call input(mytid,ntask) ! get user input (mpi)
+      call input(ntask) ! get user input (mpi)
       if (mytid==0.and.len_trim(hpss_path) > 0) call init_dispose
 !
 ! set_geogrid and consdyn (both in cons.F) must be called before
@@ -112,11 +90,9 @@ program tgcm
      |    i5)") dynamo,start_year
         call apxparm(real(start_year))
         call timer(time0_apx,time1_apx,'APXPARM',1,0)
-        write(6,"('Time in apxparm = ',f6.3,' (secs)')") time1_apx
+        write(6,"('Time in apxparm = ',f7.3,' (secs)')") time1_apx
       endif
 !
-#ifdef MPI
-!
 ! Do 2d decomposition of geographic and magnetic grids:
       call mp_distribute_geo
       call mp_distribute_mag
@@ -126,15 +102,6 @@ program tgcm
 !
 ! Set up geo and mag ESMF grids (esmf.F):
       call esmf_init
-#endif
-
-#if defined(INTERCOMM) || defined(CISMAH)
-!
-! Initialize code coupling communication framework 
-! (i.e. InterComm or AdHoc file exchanges)
-!
-      call initialize
-#endif
 !
 ! Do initialization:
       call init
@@ -160,6 +127,11 @@ program tgcm
 ! Set several lower boundary parameters (including Hough mode functions):
       call init_lbc ! lbc module
 
+!
+! Initialize code coupling communication framework (MPI)
+!
+      call initialize_coupling
+!
       call timer(time0_init,time1_init,'INIT',1,0) ! end init timing
 !
 ! Advance the model (timing in main time-step loop is done in advance):
@@ -167,9 +139,7 @@ program tgcm
 !
 ! Report to stdout:
       write(6,"(' ')")
-#ifdef MPI
       write(6,"('MPI run with ntask = ',i3)") ntask
-#endif
       write(6,"('nstep=',i8,' step=',i8)") nstep,step
       hours = real(nstep*step)/3600. ! seconds to hours
       days  = hours/24.
@@ -183,19 +153,13 @@ program tgcm
       write(6,"('Cpu time for run = ',f10.2)") cpu2-cpu1
 #endif
       call timer(time0_run,time1_run,'RUN',1,0) ! end total run timing
-
-#if defined(INTERCOMM) || defined(CISMAH)
 !
-! Finalize code coupling communication framework 
-! (i.e. InterComm or AdHoc file exchanges)
+! Finalize code coupling communication framework (MPI)
 !
-      call finalize
-#endif
+      call finalize_coupling
 !
 ! Finalize mpi:
 !
-#ifdef MPI
-!
 ! Report detailed mpi timing (see mpi.F):
       if (mpi_timing) then
         endtime = mpi_wtime()
@@ -206,7 +170,7 @@ program tgcm
 ! report_mpitime reports on dynamo timing using mpi_wtime function.
       call report_mpitime
       call mp_close ! mpi.F
-#endif
+!
       call timer_report
 !
       call final_message
diff --git a/src/tgcmlb.F b/src/tgcmlb.F
deleted file mode 100644
index a387523..0000000
--- a/src/tgcmlb.F
+++ /dev/null
@@ -1,404 +0,0 @@
-!      
-      module tgcmlb_module
-!
-! This software is part of the NCAR TIE-GCM.  Use is governed by the 
-! Open Source Academic Research License Agreement contained in the file 
-! tiegcmlicense.txt.
-!      
-! Read tgcmlb boundary perturbations T, U, V, Z and interpolate
-!   to model grid and time.
-!
-! tgcmlb perturbations: daily files with hourly data (0UT-23UT) on the tiegcm dres grid
-!
-      use params_module,only: nlon,nlat,nlonp4,nlonp2
-      use mpi_module,only: lon0,lon1,lat0,lat1
-      use nchist_module,only:nc_open,nc_close,handle_ncerr
-      use addfld_module,only: addfld
-      use input_module ,only: 
-     |  nfiles =>tgcmlb_nfiles,     ! number of tgcmlb files
-     |  ncfiles=>tgcmlb_ncfiles,    ! tgcmlb file names
-     |  mxlen_filename,
-     |  start_year               ! starting year (4-digit integer yyyy)
-      use init_module,only: iyear,istep
-!      
-      implicit none
-!      
-      integer :: ncid=0    ! netcdf file id of currently open data file
-      integer :: ntime=0   ! number of histories on open  file
-!
-      integer,parameter :: mxtime=24 ! max number of times per file (hourly and daily files)
-! Year, day of year, and hour from tgcmlb file:
-      integer,allocatable,dimension(:),save :: 
-     |  tgcmlb_year        ! year
-      integer,allocatable,dimension(:,:),save :: 
-     |  tgcmlb_modeltime   ! (doy,hr,min)    
-!
-#include <netcdf.inc>
-!
-      real,dimension(nlonp4,nlat),save ::
-     |  tgcmlb_z, 
-     |  tgcmlb_t, 
-     |  tgcmlb_u, 
-     |  tgcmlb_v
-!
-! Current tgcmlb_ncfile being used for nudging (for histories):
-      character(len=mxlen_filename) :: tgcmlb_ncfile_curr
-!
-      contains 
-!-----------------------------------------------------------------------
-      subroutine get_tgcmlb(modeltime)
-!
-! Arg:
-      integer,intent(in) :: modeltime(4)
-!
-! Local:
-      integer,save :: ifile=1,itime0=1,itime1=2
-      real,save :: yfrac,        ! year fraction at modeltime
-     |             yfrac0,yfrac1 ! year fraction at data itime0,1
-      logical,save :: isread(mxtime)=.false.
-      integer :: istat
-      real,dimension(nlon,nlat) ::       ! LB
-     |  tlb0, ulb0, vlb0, zlb0,   ! data at time index itime0
-     |  tlb1, ulb1, vlb1, zlb1    ! data at time index itime1
-
-  100 continue
-      if (ncid==0) call readfile(ncfiles(ifile),ifile,ncid)
-
-      yfrac  = yfrac_tgcm(iyear,modeltime)
-      if (itime0 < itime1) yfrac0 = yfrac_tgcmlb(itime0,modeltime(1))
-      yfrac1 = yfrac_tgcmlb(itime1,modeltime(1))
-!      write(6,*) 'in modeltime_tgcm',iyear,modeltime
-!      write(6,'(a28,3(x,f15.10))') 'in get_tgcmlb',yfrac,
-!     |  yfrac0,yfrac1 
-     
-      if (yfrac >= yfrac0 .and. yfrac < yfrac1) then
-        if (.not.isread(itime0)) then
-          call read_tgcmlb(ncid,ifile,itime0,tlb0,ulb0,vlb0,zlb0)  ! read in LB values
-          isread(itime0) = .true.
-        endif
-        if (.not.isread(itime1)) then
-          call read_tgcmlb(ncid,ifile,itime1,tlb1,ulb1,vlb1,zlb1)  ! read in LB values
-          isread(itime1) = .true.
-        endif   
-     
-! Interpolate LB values    
-        call interpdata_lbc(modeltime,yfrac,yfrac0,yfrac1,
-     |      tlb0,ulb0,vlb0,zlb0,tlb1,ulb1,vlb1,zlb1)
-!	
-        tgcmlb_ncfile_curr = ncfiles(ifile) ! for history file
-!
-	
-      else ! next timestep on file
-        tlb0 = tlb1 ; ulb0 = ulb1 ; vlb0 = vlb1 ; zlb0 = zlb1
-!	
-        if (itime0 > itime1) then
-          itime0 = 1
-          itime1 = 2
-          isread(:) = .false.
-        else
-          itime0 = itime1
-          itime1 = itime1+1
-        endif
-!
-! End of current file. Retain t0 data at yfrac0 from this last time,
-! reset itime1=1, and go back up to open new file. Note that now 
-! itime0 > itime1 when interpolating between last time on previous 
-! file and first time on new file, see conditionals above.
-!
-        if (itime1 > ntime) then
-          ifile = ifile+1
-          if (ifile > nfiles) stop 'out of tgcmlb files'
-          istat = nf_close(ncid)
-          ncid = 0 
-          itime1 = 1 ! now itime0==ntime, so itime0 > itime1
-          isread(itime1) = .false.
-        endif
-        goto 100
-      endif        
-!
-      end subroutine get_tgcmlb
-!-----------------------------------------------------------------------
-      subroutine readfile(ncfile,ifile,ncid)
-!
-! Open tgcnlb file 
-! Verify dimensions and coordinates, and read date and time
-! but not LB values
-!
-      implicit none
-!
-! Args:
-      character(len=*),intent(in) :: ncfile
-      integer,intent(in) :: ifile
-      integer,intent(out) :: ncid
-!
-! Local:
-      integer :: istat,ndims,idunlim,ngatts,nvars
-      integer :: nlat_rd,nlon_rd,nlev_rd
-      integer :: id_lat,id_lon,id_time,id_lev
-      integer :: idv_year,idv_modeltime
-      integer :: istart1(1),icount1(1),istart2(2),icount2(2)
-      character(len=1024) :: dskfile
-!
-      dskfile = ' '
-      call getfile(ncfile,dskfile)
-      istat = nf_open(ncfile,NF_NOWRITE,ncid)
-      istat = nf_inq(ncid,ndims,nvars,ngatts,idunlim)
-      write(6,"('Opened tgcmlb file ',a)") trim(ncfile)
-!
-! Get and verify latitude dimension. 
-! (read nlat_rd, compare with nlat, which is in params.h):
-      istat = nf_inq_dimid(ncid,'lat',id_lat)
-      istat = nf_inq_dimlen(ncid,id_lat,nlat_rd)
-      if (nlat_rd /= nlat) then
-        write(6,"(/,'>>> readfile tgcmlb: bad nlat_rd=',i3,
-     |    ' -- should be nlat=',i3)") nlat_rd,nlat
-        call shutdown('readfile')
-      endif
-!
-! Get and verify longitude dimension. 
-! (read nlon_rd, compare with nlon, which is in params.h):
-      istat = nf_inq_dimid(ncid,'lon',id_lon)
-      istat = nf_inq_dimlen(ncid,id_lon,nlon_rd)
-      if (nlon_rd /= nlon) then
-        write(6,"(/,'>>> readfile in tgcmlb: bad nlon_rd=',i3,
-     |    ' -- should be nlon=',i3)") nlon_rd,nlon
-        call shutdown('readfile')
-      endif
-!
-! Get and verify lev dimension. 
-      istat = nf_inq_dimid(ncid,'ilev',id_lev)
-      istat = nf_inq_dimlen(ncid,id_lev,nlev_rd)
-      if (nlev_rd /= 1) then
-        write(6,"(/,'>>> readfile tgcmlb: bad nlev_rd=',i3,
-     |    ' -- should be 1')") nlat_rd
-        call shutdown('readfile')
-      endif  
-!
-! Get number of times (value of unlimited dimension) on the file:
-      istat = nf_inq_unlimdim(ncid,id_time)     ! id of unlimited record var
-      istat = nf_inq_dimlen(ncid,id_time,ntime) ! length of time var
-      if (ntime > mxtime) then
-        write(6,"('>>> Reading tgcmlb data file: ntime=',i4,' > ',
-     |    'mxtime=',i4)") ntime,mxtime
-        call shutdown('tgcmlb ntime')
-      endif
-!
-! Allocate date and datesec vars:
-      if (allocated(tgcmlb_year)) deallocate(tgcmlb_year)
-      if (allocated(tgcmlb_modeltime)) deallocate(tgcmlb_modeltime)
-      allocate(tgcmlb_year(ntime),stat=istat)
-      allocate(tgcmlb_modeltime(3,ntime),stat=istat)
-      istart1(1) = 1
-      icount1(1) = ntime
-!
-! year:
-      istat = nf_inq_varid(ncid,"year",idv_year)
-      istat = nf_get_vara_int(ncid,idv_year,istart1,icount1,
-     |  tgcmlb_year)
-      if (istat /= NF_NOERR) then
-        write(6,"('>>> Reading tgcmlb data file: year')") 
-        call shutdown('tgcmlb year')
-      endif
-!
-! modeltime(doy,hour,min):
-      istart2(2) = istart1(1)
-      istart2(1) = 1
-      icount2(2) = icount1(1)
-      icount2(1) = 3
-      istat = nf_inq_varid(ncid,"mtime",idv_modeltime)
-      istat = nf_get_vara_int(ncid,idv_modeltime,istart2,
-     |  icount2,tgcmlb_modeltime)
-      if (istat /= NF_NOERR) then
-        write(6,"('>>> Reading tgcmlb data file: mtime')")
-        call shutdown('tgcmlb mtime')
-      endif
-
-!      write(6,"('readfile: file=',a,' date=',/,(6i10))") 
-!     |  trim(ncfile),tgcmlb_year
-!      write(6,"('readfile: modeltime=',/,(3i10))") tgcmlb_modeltime(:,1)
-
-      end subroutine readfile      
-!-----------------------------------------------------------------------
-      real function yfrac_tgcm(iyear,modeltime)
-!
-! Convert timegcm modeltime (day,hour,min) to fraction of a year. 
-!
-! Args:
-      integer,intent(in) :: iyear,modeltime(4)
-!
-! Local:
-      integer :: iday,isecs,iyear_loc
-      real :: maxday
-!
-      iyear_loc = iyear
-      iday      = modeltime(1)
-!      
-      if((mod(start_year,4).eq.0.and.mod(start_year,100).ne.0).or.
-     |   (mod(start_year,400).eq.0)) then
-         maxday = 366.                ! counting starts with 0
-	 if(modeltime(1).eq.367) then ! should be day 1 of next year
-	    iyear_loc = iyear-1
-	 endif   
-      else
-         maxday = 365.  ! counting starts with 0
-      endif
-!
-      isecs = modeltime(2)*3600+modeltime(3)*60+modeltime(4)
-      yfrac_tgcm=float(iyear_loc)+
-     |  (float(iday)-1+float(isecs)/(3600.*24.))/maxday
-!
-      end function yfrac_tgcm
-!-----------------------------------------------------------------------
-      real function yfrac_tgcmlb(it,itgcm_day)
-!
-! Convert tgcmlb date and time to fraction of a year. 
-!
-! Args:
-      integer,intent(in) :: it,itgcm_day
-!
-! Local:
-      integer :: iday,isecs
-      real :: maxday
-!      
-      if((mod(start_year,4).eq.0.and.mod(start_year,100).ne.0).or.
-     |   (mod(start_year,400).eq.0).and.(itgcm_day.ne.367)) then
-         maxday = 366.                ! counting starts with 0	 
-      else
-         maxday = 365.  ! counting starts with 0
-      endif
-!
-      isecs = tgcmlb_modeltime(2,it)*3600+tgcmlb_modeltime(3,it)*60
-      yfrac_tgcmlb=float(tgcmlb_year(it))+
-     | (float(tgcmlb_modeltime(1,it))-1+float(isecs)/(3600.*24.))/maxday
-!      write(6,*) 'yfrac_tgcmlb ',it, tgcmlb_modeltime(2,it),
-!     | tgcmlb_modeltime(3,it),tgcmlb_year(it)
-!
-      end function yfrac_tgcmlb
-!--------------------------------------------------------------------------
-      subroutine read_tgcmlb(ncid,ifile,itime,t,u,v,z)
-      implicit none
-!
-! Read 2d data t,u,v,z from tgcmlb file.
-! Tpert [deg K]; Upert,Vpert [cm/s]; Zpert [cm] 
-! The file is already open under ncid.
-!
-! Args:
-      integer,intent(in) :: ncid,ifile,itime
-      real,dimension(nlon,nlat),intent(inout) :: t,u,v,z ! if used only out compiler complained
-!
-! Local:
-      integer :: istat,id,start4(4),count4(4)
-
-      start4(1:3) = 1
-      start4(4) = itime
-      count4(1) = nlon
-      count4(2) = nlat
-      count4(3) = 1
-      count4(4) = 1
-!      
-      istat = nf_inq_varid(ncid,"Tpert",id)
-      if (istat /= NF_NOERR) then 
-         call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting Tpert var id')
-         call shutdown('read_tgcmlb Tpert')
-      endif	 
-      istat = nf_get_vara_double(ncid,id,start4,count4,t)
-      if (istat /= NF_NOERR) then
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting variable Tpert')
-         call shutdown('read_tgcmlb Tpert')
-      endif	 
-      istat = nf_inq_varid(ncid,"Upert",id)
-      if (istat /= NF_NOERR) then
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting Upert var id')
-         call shutdown('read_tgcmlb Upert')
-      endif	 
-      istat = nf_get_vara_double(ncid,id,start4,count4,u)
-      if (istat /= NF_NOERR) then 
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting variable Upert')
-         call shutdown('read_tgcmlb Upert')
-      endif	 
-      istat = nf_inq_varid(ncid,"Vpert",id)
-      if (istat /= NF_NOERR) then
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting Vpert var id')
-         call shutdown('read_tgcmlb Vpert')
-      endif	 
-      istat = nf_get_vara_double(ncid,id,start4,count4,v)
-      if (istat /= NF_NOERR) then 
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting variable Vpert')
-         call shutdown('read_tgcmlb Vpert')
-      endif	 
-      istat = nf_inq_varid(ncid,"Zpert",id)
-      if (istat /= NF_NOERR) then
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting Zpert var id')
-         call shutdown('read_tgcmlb Zpert')
-      endif	 
-      istat = nf_get_vara_double(ncid,id,start4,count4,z)
-      if (istat /= NF_NOERR) then
-        call handle_ncerr(istat,
-     |  'read_tgcmlb: Error getting variable Zpert')
-         call shutdown('read_tgcmlb Zpert')
-      endif 
-      
-!     write(6,"('Read data: ifile ',i3,': itime',i1,'=',i3,
-!    |  ' min,max T=',2e12.4,' U=',2e12.4,' V=',2e12.4,' Z=',2e12.4)")
-!    |  ifile,index,itime,minval(t),maxval(t),minval(u),maxval(u),
-!    |  minval(v),maxval(v),minval(z),maxval(z)
-
-      end subroutine read_tgcmlb
-!-----------------------------------------------------------------------
-      subroutine interpdata_lbc(modeltime,yfrac,yfrac0,yfrac1,
-     |  t0,u0,v0,z0,t1,u1,v1,z1)
-!
-! Interpolate to yfrac between t0,u0,v0,z0 at yfrac0 and t1,u1,v1,z1 at yfrac1.
-! Return module data tgcmlb_t,tgcmlb_u,tgcmlb_v,tgcmlb_z w/ unit conversion where necessary.
-! Function time_interp is in util.F.
-!
-      use mpi_module,only: lat0,lat1,lon0,lon1
-      implicit none
-!
-! Args:
-      integer,intent(in) :: modeltime(4)
-      real,intent(in) :: yfrac,yfrac0,yfrac1
-      real,dimension(nlon,nlat),intent(in) :: 
-     | t0,u0,v0,z0,t1,u1,v1,z1
-!
-! Local:
-      integer :: i,j,k
-! External:
-
-      real,external :: time_interp ! util.F
-
-        do j=1,nlat
-          do i=3,nlon+2
-            tgcmlb_t(i,j)= time_interp(t0(i-2,j),t1(i-2,j),yfrac0,
-     |        yfrac1,yfrac)
-            tgcmlb_u(i,j)= time_interp(u0(i-2,j),u1(i-2,j),yfrac0,
-     |        yfrac1,yfrac)
-            tgcmlb_v(i,j)= time_interp(v0(i-2,j),v1(i-2,j),yfrac0,
-     |        yfrac1,yfrac)
-            tgcmlb_z(i,j)= time_interp(z0(i-2,j),z1(i-2,j),yfrac0,
-     |        yfrac1,yfrac)
-          enddo ! i=1,nlon
-!
-! Periodic points:
-          tgcmlb_t(1:2,j) = tgcmlb_t(nlon+1:nlon+2,j)
-          tgcmlb_t(nlon+3:nlon+4,j) = tgcmlb_t(3:4,j)
-          tgcmlb_u(1:2,j) = tgcmlb_u(nlon+1:nlon+2,j)
-          tgcmlb_u(nlon+3:nlon+4,j) = tgcmlb_u(3:4,j)
-          tgcmlb_v(1:2,j) = tgcmlb_v(nlon+1:nlon+2,j)
-          tgcmlb_v(nlon+3:nlon+4,j) = tgcmlb_v(3:4,j)
-          tgcmlb_z(1:2,j) = tgcmlb_z(nlon+1:nlon+2,j)
-          tgcmlb_z(nlon+3:nlon+4,j) = tgcmlb_z(3:4,j)
-        enddo ! j=1,nlat
-!
-!no  Convertion necessary since units are [cm/s] [k] [cm]
-!
-      end subroutine interpdata_lbc
-!-----------------------------------------------------------------------
-      end module tgcmlb_module  
diff --git a/src/timing.F b/src/timing.F
index d3a2da5..e96ee1d 100644
--- a/src/timing.F
+++ b/src/timing.F
@@ -11,9 +11,6 @@ module timing_module
 #ifdef AIX
       real,external :: rtc
 #endif
-#ifdef MPI
-#include <mpif.h>
-#endif
 !
 ! timing%level == 0 -> no timing
 ! timing%level == 1 -> timing on broad code segments only
@@ -110,15 +107,14 @@ subroutine timer(time0,time1,seg,ibegend,ibarrier)
 !
 ! Local:
       real :: esecs 
-      integer :: i
 !
 ! Use system_clock:
       if (timing%sys) then                  ! using sys timing
         if (ibegend == 0) then              ! start sys timing
-          call start_timing(time0,seg,ibarrier)     ! time0 is output
+          call start_timing(time0,ibarrier)     ! time0 is output
           time1 = 0.
         else                                ! end sys timing
-          call end_timing(time0,seg,esecs,ibarrier) ! time0 in, esecs out
+          call end_timing(time0,esecs,ibarrier) ! time0 in, esecs out
           time1 = esecs
         endif  
       endif
@@ -126,10 +122,10 @@ subroutine timer(time0,time1,seg,ibegend,ibarrier)
 ! Use rtc:
       if (timing%rtc) then                           ! using rtc timing
         if (ibegend == 0) then
-          call rtc_timer(time0,time1,seg,0,ibarrier) ! start rtc timing
+          call rtc_timer(time0,time1,0,ibarrier) ! start rtc timing
           time1 = 0.
         else
-          call rtc_timer(time0,time1,seg,1,ibarrier) ! end rtc timing
+          call rtc_timer(time0,time1,1,ibarrier) ! end rtc timing
           esecs = time1
         endif  
       endif
@@ -179,14 +175,15 @@ subroutine timer(time0,time1,seg,ibegend,ibarrier)
       endif ! end rtc timing
       end subroutine timer
 !-----------------------------------------------------------------------
-      subroutine start_timing(count_out,string,ibarrier)
+      subroutine start_timing(count_out,ibarrier)
 !
 ! f90 intrinsic system_clock returns current clock count, number of
 ! clock counts per second, and max possible value of the count.
+!
+      use mpi_module,only: TIEGCM_WORLD
 !
 ! Args:
       real,intent(out) :: count_out
-      character(len=*),intent(in) :: string
       integer,intent(in) :: ibarrier
 !
 ! Local:
@@ -194,24 +191,24 @@ subroutine start_timing(count_out,string,ibarrier)
 !
       call system_clock(icount1,icount_rate,icount_max)
       count_out = float(icount1)
-#ifdef MPI
-        if (ibarrier > 0) call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
 
-!     write(6,"('start_timing for ',a,': secs=',f10.3)") 
-!    |  trim(string),real(icount1)/real(icount_rate)
+      if (ibarrier > 0) call mpi_barrier(TIEGCM_WORLD,ier)
+
+!     write(6,"('start_timing: secs=',f10.3)") 
+!    |  real(icount1)/real(icount_rate)
 
       end subroutine start_timing
 !-----------------------------------------------------------------------
-      subroutine end_timing(count_in,string,esecs,ibarrier)
+      subroutine end_timing(count_in,esecs,ibarrier)
 !
 ! f90 intrinsic system_clock returns current clock count, number of
 ! clock counts per second, and max possible value of the count.
+!
+      use mpi_module,only: TIEGCM_WORLD
 !
 ! Args:
       real,intent(in) :: count_in
       real,intent(out) :: esecs
-      character(len=*),intent(in) :: string
       integer,intent(in) :: ibarrier
 !
 ! Local:
@@ -224,16 +221,15 @@ subroutine end_timing(count_in,string,esecs,ibarrier)
       secs1 = real(icount1)/real(icount_rate)
       secs2 = real(icount2)/real(icount_rate)
       esecs = secs2-secs1
-#ifdef MPI
-        if (ibarrier > 0) call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
 
-!     write(6,"('end_timing for ',a,' : secs1=',f10.3,' secs2=',f10.3,
-!    |  ' elapsed=',f10.3)") trim(string),secs1,secs2,esecs
+      if (ibarrier > 0) call mpi_barrier(TIEGCM_WORLD,ier)
+
+!     write(6,"('end_timing: secs1=',f10.3,' secs2=',f10.3,
+!    |  ' elapsed=',f10.3)") secs1,secs2,esecs
 
       end subroutine end_timing
 !-----------------------------------------------------------------------
-      subroutine rtc_timer(time0,tsec,seg,ibegend,ibarrier)
+      subroutine rtc_timer(time0,tsec,ibegend,ibarrier)
 !
 ! Timer: this routine is called twice for each timing result.
 ! It uses the AIX real-time-clock function rtc() (not available on
@@ -244,13 +240,13 @@ subroutine rtc_timer(time0,tsec,seg,ibegend,ibarrier)
 ! timing is started in the first call, and before timing is completed 
 ! in the second call.
 !
+      use mpi_module,only: TIEGCM_WORLD
       implicit none
 !
 ! Args:
       real,intent(inout) :: time0  ! starting time
       real,intent(out) :: tsec      ! elapsed time in millisecs
       integer,intent(in) :: ibegend,ibarrier
-      character(len=*),intent(in) :: seg 
 !
 ! Local:
       integer :: ier
@@ -268,25 +264,23 @@ subroutine rtc_timer(time0,tsec,seg,ibegend,ibarrier)
 !
 ! Begin: return time0 as starting time:
       if (ibegend == 0) then
-#ifdef MPI
-        if (ibarrier > 0) call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
+
+      if (ibarrier > 0) call mpi_barrier(TIEGCM_WORLD,ier)
+
 #ifdef AIX
         time0 = rtc()   
-!       write(6,"('rtc_timer begin: seg ',a,' time0=',f15.2)") 
-!    |    trim(seg),time0
+!       write(6,"('rtc_timer begin: time0=',f15.2)") time0
 #endif
 !
 ! End: time0 is now input, return time1-time0 in tsec:
       else
-#ifdef MPI
-        if (ibarrier > 0) call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
+
+        if (ibarrier > 0) call mpi_barrier(TIEGCM_WORLD,ier)
+
 #ifdef AIX
         time1 = rtc()   
         tsec = time1-time0
-!       write(6,"('rtc_timer end: seg ',a,' elapsed=',f8.2)") 
-!    |    trim(seg),tsec
+!       write(6,"('rtc_timer end: elapsed=',f8.2)") tsec
 #endif
       endif
       end subroutine rtc_timer
diff --git a/src/util.F b/src/util.F
index 885a2a3..477da95 100644
--- a/src/util.F
+++ b/src/util.F
@@ -35,8 +35,8 @@ subroutine rmnamelistcomments(filename,luout,comcharin,echo)
 ! Remove comments from namelist file (filename) and write the results
 ! to file unit luout.  See rmcomments for additional documentation.
 !
-! This subroutine was created for CMIT:  when TIEGCM is coupled to
-! CMIT, namelist cannot be reliably read from stdin.
+! This subroutine was created for MAGE:  when TIEGCM is coupled to
+! MAGE, namelist cannot be reliably read from stdin.
 !
 ! Args:
       character(len=*),intent(in) :: filename
@@ -76,9 +76,8 @@ subroutine rmcomments(luin,luout,comcharin,echo)
 ! Local:
       character(len=1) :: comchar
       logical isopen
-      integer :: i,lens,ios,compos,nline,nlcfields
+      integer :: ios,compos,nline
       character(len=6400) :: line
-      character(len=64) :: newcfields(30)
 !
       if (luin <= 0) then
         write(6,"('>>> rmcomments: bad input luin=',i5)") luin
@@ -337,8 +336,7 @@ real function expo(x,iprint)
 !
       real,intent(in) :: x 
       integer,intent(in) :: iprint
-      real,parameter :: xmin=-708., xmax=+709., 
-     |  big=.1e305, small=.1e-305
+      real,parameter :: xmin=-708., xmax=+709., big=.1e305
 !
 #if defined(IRIX) || defined(AIX) || defined(OSF1) || defined(SUN) || defined(LINUX)
       if (x >= xmin .and. x <= xmax) then
@@ -370,15 +368,15 @@ end function isystem
 !-------------------------------------------------------------------
       real function mtime_delta(mtime0,mtime1)
 !
-! Return difference in time (minutes) from mtime0 to mtime1:
+! Return difference in time (seconds) from mtime0 to mtime1:
 !
       implicit none
       integer,intent(in) :: mtime0(4),mtime1(4)
-      real :: rmins0,rmins1
+      real :: rsecs0,rsecs1
 !
-      rmins0 = mtime0(1)*1440.+mtime0(2)*60.+mtime0(3)+mtime0(4)/60.
-      rmins1 = mtime1(1)*1440.+mtime1(2)*60.+mtime1(3)+mtime1(4)/60.
-      mtime_delta = rmins1-rmins0
+      rsecs0 = mtime0(1)*86400.+mtime0(2)*3600.+mtime0(3)*60.+mtime0(4)
+      rsecs1 = mtime1(1)*86400.+mtime1(2)*3600.+mtime1(3)*60.+mtime1(4)
+      mtime_delta = rsecs1-rsecs0
 !     if (mtime_delta < 0.) then
 !       write(6,"('>>> WARNING mtime_delta: negative delta: mtime0=',
 !    |    4i4,' mtime1=',4i4,' delta=',f10.2)") 
@@ -391,8 +389,8 @@ real function mtime_to_datestr(iyear,mtime,imo,ida,datestr)
 !
 ! Given model time mtime (day,hr,min,sec) and iyear (4-digit year),
 ! return imo (2 digit month), ida (2 digit day of the month), and
-! a date string "minutes since yyyy-m-d". Function value is real
-! minutes into the day from modeltime(2:4) hour, min, and sec.
+! a date string "seconds since yyyy-m-d". Function value is real
+! seconds into the day from modeltime(2:4) hour, min, and sec.
 !
 ! Args:
       integer,intent(in) :: iyear,mtime(4)
@@ -400,7 +398,7 @@ real function mtime_to_datestr(iyear,mtime,imo,ida,datestr)
       character(len=*),intent(out) :: datestr
 !
 ! Local:
-      character(len=2) :: f_mon,f_day,f_hr,f_min
+      character(len=2) :: f_mon,f_day,f_hr,f_min,f_sec
       character(len=120) :: format
       integer :: ndmon(12) =
 !          J  F  M  A  M  J  J  A  S  O  N  D
@@ -434,107 +432,105 @@ real function mtime_to_datestr(iyear,mtime,imo,ida,datestr)
       imo = m
       ida = id
 !
-! Return real minutes:
-      mtime_to_datestr = float(mtime(2))*60.+float(mtime(3))+
-     |                   float(mtime(4))/60.
+! Return real seconds:
+      mtime_to_datestr = float(mtime(2))*3600.+float(mtime(3))*60.+
+     |                   float(mtime(4))
 !
 ! Return date string:
       if (imo <= 9) then
-        if (ida <= 9) then
-          f_day = 'i1'
-          f_mon = 'i1'
-        else ! ida > 9
-          f_day = 'i2'
-          f_mon = 'i1'
-        endif
+        f_mon = 'i1'
       else ! imo > 9
-        if (ida <= 9) then
-          f_day = 'i1'
-          f_mon = 'i2'
-        else ! ida > 9
-          f_day = 'i2'
-          f_mon = 'i2'
-        endif
+        f_mon = 'i2'
+      endif
+
+      if (ida <= 9) then
+        f_day = 'i1'
+      else ! ida > 9
+        f_day = 'i2'
       endif
+
       if (mtime(2) <= 9) then
-        if (mtime(3) <= 9) then
-          f_hr = 'i1'
-          f_min = 'i1'
-        else
-          f_hr = 'i1'
-          f_min = 'i2'
-        endif
+        f_hr = 'i1'
       else
-        if (mtime(3) <= 9) then
-          f_hr = 'i2'
-          f_min = 'i1'
-        else
-          f_hr = 'i2'
-          f_min = 'i2'
-        endif
+        f_hr = 'i2'
+      endif
+
+      if (mtime(3) <= 9) then
+        f_min = 'i1'
+      else
+        f_min = 'i2'
+      endif
+
+      if (mtime(4) <= 9) then
+        f_sec = 'i1'
+      else
+        f_sec = 'i2'
       endif
 !
 ! Example format:
-!   ('minutes since ',i4,'-',i1,'-',i2,' ',i1,':',i2,':0')
+!   ('seconds since ',i4,'-',i1,'-',i2,' ',i1,':',i2,':',i2)
 ! Example date string:
-!   minutes since 1997-3-21 0:0:0
+!   seconds since 1997-3-21 0:0:0
 !
-      format = '(''minutes since '',i4,''-'','//f_mon//',''-'','//f_day
-      format = trim(format)//','' '','//f_hr//','':'','//f_min//','
-      format = trim(format)//''':0'')'
-      write(datestr,format) iyear,imo,ida,mtime(2),mtime(3)
+      format = "('seconds since ',i4,'-',"//f_mon//",'-',"//f_day
+      format = trim(format)//",' ',"//f_hr//",':',"//f_min//",':',"
+      format = trim(format)//f_sec//")"
+      write(datestr,format) iyear,imo,ida,mtime(2),mtime(3),mtime(4)
       end function mtime_to_datestr
 !-----------------------------------------------------------------------
-      integer function mtime_to_mins(mtime)
+      integer function mtime_to_secs(mtime)
       implicit none
 !
-! Given model time mtime (day,hr,min), return equivalent time 
-! in minutes (includes day):
+! Given model time mtime (day,hr,min,sec), return equivalent time 
+! in seconds (includes day):
 !
 ! Arg:
-      integer,intent(in)  :: mtime(3)
+      integer,intent(in)  :: mtime(4)
 !
-      mtime_to_mins = mtime(1)*24*60+mtime(2)*60+mtime(3)
-      end function mtime_to_mins
+      mtime_to_secs = mtime(1)*86400+mtime(2)*3600+mtime(3)*60+mtime(4)
+      end function mtime_to_secs
 !-----------------------------------------------------------------------
       integer function mtime_to_nstep(mtime,istepsecs)
       implicit none
 !
-! Return number of steps from time 0,0,0 to given model time 
-! mtime(day,hr,min) (istepsecs is time step in seconds)
+! Return number of steps from time 0,0,0,0 to given model time 
+! mtime(day,hr,min,sec) (istepsecs is time step in seconds)
 ! (This function used to be itera in earlier versions of tgcm)
 !
 ! Args:
-      integer,intent(in) :: mtime(3),istepsecs
+      integer,intent(in) :: mtime(4),istepsecs
 !
-      mtime_to_nstep=((mtime(1)*24+mtime(2))*60+mtime(3))*60/istepsecs
+      mtime_to_nstep=(((mtime(1)*24+mtime(2))*60+mtime(3))*60+mtime(4))
+     |  /istepsecs
       end function mtime_to_nstep
 !-----------------------------------------------------------------------
       integer(kind=8) function mtime_to_nsec(mtime)
       implicit none
       integer(kind=8),parameter :: nsecperday=24*60*60 ! 86400 seconds/day
-      integer,intent(in) :: mtime(3)
+      integer,intent(in) :: mtime(4)
       mtime_to_nsec = mtime(1)*nsecperday + mtime(2)*3600 + mtime(3)*60
+     |  + mtime(4)
       end function mtime_to_nsec
 !-----------------------------------------------------------------------
-      subroutine mins_to_mtime(mins,mtime)
+      subroutine secs_to_mtime(secs,mtime)
       implicit none
 !
-! Given minutes mins, return equivalent model time (day,hr,min)
+! Given seconds secs, return equivalent model time (day,hr,min,sec)
 !
 ! Args:
-      integer,intent(in) :: mins
-      integer,intent(out) :: mtime(3)
+      integer,intent(in) :: secs
+      integer,intent(out) :: mtime(4)
 !
 ! Local:
-      integer,parameter :: minperday=24*60
+      integer,parameter :: secperday=24*60*60
 !
       mtime(:) = 0
-      if (mins==0) return
-      mtime(1) = mins/minperday                        ! days
-      mtime(2) = mod(mins,minperday)/60                ! hours
-      mtime(3) = mins-(mtime(1)*minperday+mtime(2)*60) ! minutes
-      end subroutine mins_to_mtime
+      if (secs==0) return
+      mtime(1) = secs/secperday                                      ! days
+      mtime(2) = mod(secs,secperday)/3600                            ! hours
+      mtime(3) = (secs-(mtime(1)*secperday+mtime(2)*3600))/60        ! minutes
+      mtime(4) = secs-(mtime(1)*secperday+mtime(2)*3600+mtime(3)*60) ! seconds
+      end subroutine secs_to_mtime
 !-------------------------------------------------------------------
       subroutine nsecs_to_modeltime(nsecs,modeltime)
       implicit none
@@ -637,69 +633,15 @@ end subroutine datetime
 !-------------------------------------------------------------------
       subroutine gethostsname(host)
 !
-! Return a host name, by various methods depending on platform:
+! Return a host name:
 !
       implicit none
 !
 ! Args:
       character(len=*),intent(out) :: host
 !
-! Local:
-      integer :: istat
-!
-! External:
-#if defined(UNICOS)
-      integer,external :: gethost
-#endif
-#if defined(AIX)
-      integer,external :: gethostname
-#endif
-!
-      host = ' '
-#ifdef UNICOS
-      istat = gethost(host)
-      if (istat <= 0) then
-        write(6,"('>>> gethostname UNICOS: error ',i4,' from gethost')") 
-     |    istat
-        host = 'unknown'
-      endif
-#elif defined(AIX)
-      istat = gethostname(host) ! this yields "bb0001en" on babyblue
-      if (istat /= 0) then
-        write(6,"('>>> gethostname AIX: error ',i4,
-     |    ' from gethostname')") istat
-        host = 'unknown'
-      endif
-#elif defined(OSF1)
-!
-! There is a gethostname function on prospect (compaq), but apparently 
-! there is no fortran binding.
-      write(6,"('>>> gethostsname: do not know how to get host name ',
-     |  'under OSF1')")
-      host = 'unknown'
-#elif defined(IRIX)
+      call hostnm(host)
 !
-! Under IRIX, the interactive environment (e.g. utefe) defines $HOST, 
-! whereas the batch environment (e.g. ute) defines $QSUB_HOST.
-! 
-      call getenv('HOST',host)                             ! interactive
-      if (len_trim(host)==0) call getenv('QSUB_HOST',host) ! batch
-      if (len_trim(host)==0) then
-        write(6,"(/,'>>> gethost under IRIX: Cannot get HOST or ',
-     |    'QSUB_HOST environment variables.',/)")
-        host = 'unknown'
-      endif
-#elif defined(SUN) || defined(LINUX)
-      call getenv('HOST',host)
-      if (len_trim(host)==0) then
-        write(6,"(/,'>>> gethost: Cannot get HOST environment ',
-     |    'variable.',/)")
-        host = 'unknown'
-      endif
-#else
-      write(6,"('>>> WARNING gethost: unresolved OS cpp directive.')")
-      host = 'unknown'
-#endif
       end subroutine gethostsname
 !-----------------------------------------------------------------------
       integer function strloc(strarray,nstr,substr)
@@ -823,9 +765,8 @@ subroutine timer(time0,tsec,begend)
 ! timing is started in the first call, and before timing is completed 
 ! in the second call.
 !
-#ifdef MPI
       use mpi
-#endif
+      use mpi_module,only : TIEGCM_WORLD
       implicit none
 !
 ! Args:
@@ -853,18 +794,18 @@ subroutine timer(time0,tsec,begend)
 !
 ! Begin: return time0 as starting time:
       if (trim(begend)=='start'.or.trim(begend)=='begin') then
-#ifdef MPI
-        call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
+!
+        call mpi_barrier(TIEGCM_WORLD,ier)
+!
 #ifdef AIX
         time0 = rtc()   
 #endif
 !
 ! End: time0 is now input, return time1-time0 in tsec:
       elseif (trim(begend)=='end') then
-#ifdef MPI
-        call mpi_barrier(MPI_COMM_WORLD,ier)
-#endif
+!
+        call mpi_barrier(TIEGCM_WORLD,ier)
+!
 #ifdef AIX
         time1 = rtc()   
         tsec = time1-time0
@@ -873,10 +814,9 @@ subroutine timer(time0,tsec,begend)
       end subroutine timer
 !-----------------------------------------------------------------------
       subroutine getcwdir(cwd)
-#ifdef MPI
-      use mpi_module,only: mytid
+!
+      use mpi_module,only: mytid, TIEGCM_WORLD
       use mpi
-#endif
 !
 ! Return current working directory in cwd:
 !
@@ -885,29 +825,20 @@ subroutine getcwdir(cwd)
       integer,external :: isystem,nextlu
       integer :: istat,lu,ier
 !
-#ifdef MPI
       if (mytid==0) then
         istat = isystem('pwd > cwd')
         if (istat /= 0) write(6,"('>>> WARNING getcwdir: error return ',
      |    'isystem(''pwd > cwd'')')")
       endif
-      call mpi_barrier(MPI_COMM_WORLD,ier)
-      lu = nextlu()
-      open(lu,file='cwd',status='old')
-      read(lu,"(a)") cwd
-      close(lu)
-#else
-      istat = isystem('pwd > cwd')
-      if (istat /= 0) write(6,"('>>> WARNING getcwdir: error return ',
-     |  'isystem(''pwd > cwd'')')")
+      call mpi_barrier(TIEGCM_WORLD,ier)
       lu = nextlu()
       open(lu,file='cwd',status='old')
       read(lu,"(a)") cwd
       close(lu)
-#endif
+!
       end subroutine getcwdir
 !-----------------------------------------------------------------------
-      character(len=*) function trcase(string)
+      character(len=n) function trcase(string,n)
 !
 ! Translate case of input string string, i.e., return string like string,
 ! but with lower case character converted to upper case, and vice-versa.
@@ -915,7 +846,8 @@ character(len=*) function trcase(string)
       implicit none
 !
 ! Args:
-      character(len=*),intent(in) :: string
+      integer,intent(in) :: n
+      character(len=n),intent(in) :: string
 !
 ! Local:
       character(len=*),parameter :: ucase = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
@@ -936,10 +868,9 @@ character(len=*) function trcase(string)
       end function trcase
 !-----------------------------------------------------------------------
       subroutine shutdown(msg)
-      use my_esmf
-#ifdef MPI
+      use my_esmf,only: ESMF_Finalize,ESMF_END_KEEPMPI,ESMF_SUCCESS
       use mpi
-#endif
+      use mpi_module,only: TIEGCM_WORLD
 !
 ! An fatal error has occurred -- shut down the model, including MPI.
 !
@@ -954,7 +885,6 @@ subroutine shutdown(msg)
 !
       write(6,"(/,28('>'),' MODEL SHUTDOWN ',28('<'))")
       write(6,"('Shutdown: stop message: ',a)") trim(msg)
-#ifdef MPI
 !
 ! ESMF is nested inside MPI, so shutdown ESMF first:
       call ESMF_Finalize(endflag=ESMF_END_KEEPMPI,rc=ier)
@@ -968,8 +898,8 @@ subroutine shutdown(msg)
 ! Shutdown MPI:
       write(6,"('Shutdown calling mpi_abort..')")
       write(6,"(72('>'))")
-      call mpi_abort(MPI_COMM_WORLD,errorcode,ier)
-#endif
+      call mpi_abort(TIEGCM_WORLD,errorcode,ier)
+
       write(6,"(/,'For information, please see TGCM Users Guide at ',
      |  /,'http://www.hao.ucar.edu/modeling/tgcm/doc/userguide')")
       write(6,"(72('>'))")
diff --git a/src/wei05sc.F b/src/wei05sc.F
index 586e218..f2fa133 100644
--- a/src/wei05sc.F
+++ b/src/wei05sc.F
@@ -196,8 +196,8 @@ subroutine weimer05(by,bz,swvel,swden,wei05sc_ncfile,istep)
       ctpoten = 0.5*(weictpoten(1)+weictpoten(2))
 !      write (6,"(1x,'weimer05: CPS,N ctpoten=',3f8.1)") weictpoten,
 !     |    ctpoten
-!      write(6,"(i4,':weimer05: istep=',i8,' mtime=',3i4,' ctpoten=',
-!    |  f8.3)") mytid,istep,modeltime(1:3),ctpoten
+!      write(6,"(i4,':weimer05: istep=',i8,' mtime=',4i4,' ctpoten=',
+!    |  f8.3)") mytid,istep,modeltime,ctpoten
 !
 ! Note calculation of pfrac for dynamo is done by sub colath (colath.F),
 ! called from advance.
@@ -569,7 +569,7 @@ subroutine epotval(lat,mlt,fill,epot)
       real,intent(out) :: epot
 !
 ! Local:
-      integer :: inside,j,m,mm,skip
+      integer :: inside,j,m,skip
       real :: z,phir,plm,colat,nlm
       real :: phim(2),cospm(2),sinpm(2)
 !
@@ -688,8 +688,8 @@ real function scplm(index,colat,nlm)
       real,intent(out) :: nlm
 !
 ! Local:
-      integer :: istat,i,j,l,m,skip
-      real :: th0,out(1),colata(1),plm1
+      integer :: i,j,l,m,skip
+      real :: th0,out(1),colata(1)
       real :: cth(mxtablesize)
       real,save :: prevth0=1.e36
       integer,save :: tablesize
@@ -751,7 +751,7 @@ subroutine pm_n(m,r,cth,plmtable,tablesize)
       real,intent(out) :: plmtable(tablesize)
 !
 ! Local:
-      integer :: i,k,ii
+      integer :: i,k
       real :: rm,rk,div,ans,xn
       real,dimension(tablesize) :: a,x,tmp,table
 !
@@ -797,7 +797,6 @@ real function km_n(m,rn)
       real,intent(in) :: rn
 !
 ! Local:
-      integer :: i,n
       real :: rm
 !
       if (m == 0) then 
@@ -1377,9 +1376,8 @@ end subroutine cvt2md
 
       FUNCTION SIND (DEG)
       implicit none
-      real :: sind,d2r,r2d,deg
-      PARAMETER ( D2R =  0.0174532925199432957692369076847 ,
-     +            R2D = 57.2957795130823208767981548147)
+      real :: sind,d2r,deg
+      PARAMETER ( D2R =  0.0174532925199432957692369076847)
       SIND = SIN (DEG * D2R)
       RETURN
 !     END
@@ -1387,9 +1385,8 @@ end function sind
 
       FUNCTION COSD (DEG)
       implicit none
-      real :: cosd,d2r,r2d,deg
-      PARAMETER ( D2R =  0.0174532925199432957692369076847 ,
-     +            R2D = 57.2957795130823208767981548147)
+      real :: cosd,d2r,deg
+      PARAMETER ( D2R =  0.0174532925199432957692369076847)
 
       COSD = COS (DEG * D2R)
       RETURN
@@ -1398,9 +1395,8 @@ end function cosd
 
       FUNCTION ASIND (RNUM)
       implicit none
-      real :: asind,d2r,r2d,rnum
-      PARAMETER ( D2R =  0.0174532925199432957692369076847 ,
-     +            R2D = 57.2957795130823208767981548147)
+      real :: asind,r2d,rnum
+      PARAMETER ( R2D = 57.2957795130823208767981548147)
       ASIND = R2D * ASIN (RNUM)
       RETURN
 !     END
@@ -1408,9 +1404,8 @@ end function asind
 
       FUNCTION ATAN2D (RNUM1,RNUM2)
       implicit none
-      real :: atan2d,d2r,r2d,rnum1,rnum2
-      PARAMETER ( D2R =  0.0174532925199432957692369076847 ,
-     +            R2D = 57.2957795130823208767981548147)
+      real :: atan2d,r2d,rnum1,rnum2
+      PARAMETER ( R2D = 57.2957795130823208767981548147)
       ATAN2D = R2D * ATAN2 (RNUM1,RNUM2)
       RETURN
 !     END
@@ -1455,13 +1450,11 @@ subroutine wei05loc (ih)
      |                        dskofc
       use magfield_module,only: sunlons 
       use input_module,only:  ! from user input
-     |  byimf    ! By component of IMF (nT)      (e.g., 0.)
-! 05/08:  Added bzimf,ctpoten,power
-     | ,bzimf    ! Bz component of IMF (nT)      (e.g., 0.)
-     | ,ctpoten  ! cross-cap potential (kV)      (e.g., 45.)
-     | ,power    ! hemispheric power   (GW)      (e.g., 16.)
+     |  byimf,   ! By component of IMF (nT)      (e.g., 0.)
+! 05/08:  Added power
+     |  power    ! hemispheric power   (GW)      (e.g., 16.)
       use cons_module,only: rtd,
-     |  ylonm,ylatm  ! magnetic grid lons, lats in radians
+     |  ylonm    ! magnetic grid lons in radians
       implicit none
 !
 ! Args:
@@ -1472,11 +1465,10 @@ subroutine wei05loc (ih)
       real :: rccp,racp,rahp,ramx,diffrac,plevel,tmltmin,tmltmax
       real :: diffrac2
       real :: offcdegp(2),dskofcp(2),radegp(2)
-      integer :: i,i1,i2,j,j1,j2
+      integer :: i,j,j1,j2
       real :: vnx(2,2),hem,mltd,mltn
       integer :: jnx(2,2),inx(2,2)
       real :: offcdeg,dskof,arad,crad
-      real :: cosl06,sinl06,colat06,cosm06,cosl18,sinl18,colat18,cosm18
       real :: byloc
 
 ! Limit size of byimf in phin and phid calculations (as in aurora.F) 
@@ -1523,11 +1515,9 @@ subroutine wei05loc (ih)
 	if (tmltmin .gt. 24.) tmltmin = tmltmin - 24.
 	tmltmax = (ylonm(inx(ih,2))-sunlons(1)) * rtd/15. + 12.
 	if (tmltmax .gt. 24.) tmltmax = tmltmax - 24.
-!       write (6,"('ih Bz By Hp ctpoten,wei min/max potV,lat,mlt=',i2,
-!    |    5f8.2,2x,e12.4,2f8.2,2x,e12.4,2f8.2))") ih,bzimf,byimf,power,
-!    |    ctpoten,weictpoten(ih),
-!    |    vnx(ih,1),ylatm(jnx(ih,1))*rtd,tmltmin,
-!    |    vnx(ih,2),ylatm(jnx(ih,2))*rtd,tmltmax
+!       write (6,"('ih Bz By Hp,wei min/max potV,lat,mlt=',i2,
+!    |    3f8.2,2x,e12.4,f8.2,2x,e12.4,f8.2))") ih,byimf,power,
+!    |    weictpoten(ih),vnx(ih,1),tmltmin,vnx(ih,2),tmltmax
 ! 05/08: From aurora_cons, calculate convection and aurora radii using IMF convection
 !   and power (plevel);  racp (DMSP/NOAA) - rccp (AMIE) = 5.32 (Bz>0) to 6.62 (Bz<0) deg
 !  Heelis et al [1980, JGR, 85, pp 3315-3324] Fig 8: ra=rc+2deg, and is 2.5 deg to dusk
diff --git a/src/wrhist.F b/src/wrhist.F
index 5f6d2a0..86d4dd9 100644
--- a/src/wrhist.F
+++ b/src/wrhist.F
@@ -19,8 +19,8 @@ logical function wrhist(istep,modeltime,
 ! this routine can be called from single (e.g., from sub outhist) or 
 ! multiple threads/tasks (e.g. advnce and addfld).
 !
-      use input_module,only: step,start,stop,hist,secstart,secstop,
-     |  sechist
+      use input_module,only: step,pristart,pristop,prihist,
+     |  secstart,secstop,sechist
       use hist_module,only: nsource,isechist,nseries_prim,
      |  nseries_sech
       implicit none
@@ -64,8 +64,8 @@ logical function wrhist(istep,modeltime,
 !
       iseries_p = 0
       primloop: do i=1,nseries_prim
-        nsec_start = mtime_to_nsec(start(:,i))
-        nsec_stop  = mtime_to_nsec(stop (:,i))
+        nsec_start = mtime_to_nsec(pristart(:,i))
+        nsec_stop  = mtime_to_nsec(pristop (:,i))
         if (nsecs >= nsec_start.and.nsecs <= nsec_stop) then
           iseries_p = i
 !
@@ -73,14 +73,14 @@ logical function wrhist(istep,modeltime,
           if (nsecs==nsec_start) then
             newseries_prim = .true.
             if (i > 1) then
-              nsec_stop_prev = mtime_to_nsec(stop(:,i-1))
+              nsec_stop_prev = mtime_to_nsec(pristop(:,i-1))
               if (nsecs == nsec_stop_prev) newseries_prim = .false.
             endif
           else
             if (i > 1) then
-              nstep_hist = mtime_to_nstep(hist(:,i),step)
+              nstep_hist = mtime_to_nstep(prihist(:,i),step)
               nsec_hist = nstep_hist*step
-              nsec_stop_prev = mtime_to_nsec(stop(:,i-1))
+              nsec_stop_prev = mtime_to_nsec(pristop(:,i-1))
               if (nsecs-nsec_hist == nsec_start.and.
      |            nsec_start == nsec_stop_prev) newseries_prim = .true.
             endif
@@ -100,9 +100,9 @@ logical function wrhist(istep,modeltime,
 !
 ! Check for primary history write:
         if (iseries_p > 0) then
-          nsec_start = mtime_to_nsec(start(:,iseries_p))
-          nsec_stop  = mtime_to_nsec(stop (:,iseries_p))
-          nstep_hist = mtime_to_nstep(hist(:,iseries_p),step)
+          nsec_start = mtime_to_nsec(pristart(:,iseries_p))
+          nsec_stop  = mtime_to_nsec(pristop (:,iseries_p))
+          nstep_hist = mtime_to_nstep(prihist(:,iseries_p),step)
 
 !         write(6,"('wrhist call mtime_to_nstep: iseries_p=',
 !    |      i2,' step=',i4)") iseries_p,step
@@ -149,7 +149,7 @@ logical function wrhist(istep,modeltime,
 !
 ! Step 0 of run:
         if (istep==0) then
-          if (isechist > 0.and.all(modeltime(1:3)==secstart(:,1))) then
+          if (isechist > 0.and.all(modeltime==secstart(:,1))) then
             wrhist = .true.
             wrsech = .true.
             newseries_sech = .true.
diff --git a/tgcmrun/classes.py b/tgcmrun/classes.py
index 4821521..2b6a33d 100644
--- a/tgcmrun/classes.py
+++ b/tgcmrun/classes.py
@@ -16,9 +16,9 @@ def name(self,model_name):
 #
   def tag(self,model_name):
     if model_name == 'tiegcm':
-      return ''      # can be null (e.g., testing or trunk version)
+#     return ''      # can be null (e.g., testing or trunk version)
 #     return '1.95'  # use previous tag to make startup history files
-#     return '2.0'   
+      return '2.0'   
     elif model_name == 'timegcm':
       return '1.42'
 
diff --git a/tgcmrun/tiegcm_linux_default.job b/tgcmrun/tiegcm_linux_default.job
index a0afd6f..211c9da 100644
--- a/tgcmrun/tiegcm_linux_default.job
+++ b/tgcmrun/tiegcm_linux_default.job
@@ -21,7 +21,7 @@
 # To switch to 2.5-deg resolution, set modelres below to 2.5,
 # and change execdir, tgcmdata and namelist input if necessary.
 #
-set modeldir = tiegcm_trunk
+set modeldir = tiegcm2.0
 set execdir  = /hao/aim/$user/tiegcm_trunk/tiegcm.exec
 #set tgcmdata = /hao/aim/tgcm/data/tiegcm2.0
 set input    = $modeldir/scripts/tiegcm_res5.0_default.inp
@@ -129,7 +129,10 @@ set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdou
 #
 # Report to stdout:
 #
-set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
+# For tiegcm2.0 tag:
+ set svn_revision = 'tiegcm2.0'
+#set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
+
 echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
 echo "  Exec directory:    $execdir"
 echo "  Source directory:  $srcdir"
diff --git a/tgcmrun/tiegcm_ys_default.job b/tgcmrun/tiegcm_ys_default.job
index 9fc6660..08dd3aa 100644
--- a/tgcmrun/tiegcm_ys_default.job
+++ b/tgcmrun/tiegcm_ys_default.job
@@ -27,8 +27,8 @@
 # and change execdir, tgcmdata and namelist input if necessary.
 # Also reset number of processors accordingly below (#BSUB -n).
 #
-set modeldir = tiegcm_trunk
-set execdir  = /glade/scratch/$user/tiegcm_trunk/tiegcm.exec
+set modeldir = tiegcm2.0
+set execdir  = /glade/scratch/$user/tiegcm2.0/tiegcm.exec
 #set tgcmdata = /glade/p/hao/tgcm/data/tiegcm2.0
 set input    = $modeldir/scripts/tiegcm_res5.0_default.inp
 set output   = tiegcm.out
@@ -50,7 +50,7 @@ if (! -d $execdir) mkdir -p $execdir
 cat << EOF >! $runscript
 #!/bin/tcsh
 #
-#BSUB -J tiegcm
+#BSUB -J tiegcm2.0
 #BSUB -P P28100036
 ##BSUB -P NHAO0004
 #BSUB -q premium
@@ -167,8 +167,9 @@ set rmbinchars = $util/rmbinchars # Nov, 2015: remove non-ascii chars from stdou
 #
 # Report to stdout:
 #
- set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
-#set svn_revision = 'tiegcm2.0' # for svn tag instead of revision number
+# For tiegcm2.0 tag:
+ set svn_revision = "tiegcm2.0" 
+#set svn_revision = `svnversion $modeldir` || set svn_revision = "[none]"
 
 echo -n "  Model directory:   $modeldir" && echo " (SVN revision $svn_revision)"
 echo "  Exec directory:    $execdir"