diff --git a/test_gl.cc b/test_gl.cc
new file mode 100644
index 0000000..f131c92
--- /dev/null
+++ b/test_gl.cc
@@ -0,0 +1,9 @@
+#include "Matrix.h"
+#include "gauss_legendre.h"
+#include "twoscale.h"
+
+int main(int argc, char** argv) {
+  real_matrix hg = TwoScaleCoeffs::instance()->hg(2);
+  print(hg);
+  return 0;
+}
diff --git a/tscoeffs b/tscoeffs
new file mode 100644
index 0000000..2124886
--- /dev/null
+++ b/tscoeffs
@@ -0,0 +1,2036 @@
+11
+1
+7.07106781186547461715e-01
+7.07106781186547461715e-01
+7.07106781186547461715e-01
+-7.07106781186547461715e-01
+2
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+-7.07106781186547461715e-01
+3.53553390593273730858e-01
+6.12372435695794470334e-01
+-3.53553390593273730858e-01
+6.12372435695794470334e-01
+3
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+2.35702260395515839075e-01
+4.08248290463863017230e-01
+-5.27046276694729920465e-01
+-2.35702260395515839075e-01
+4.08248290463863017230e-01
+5.27046276694729920465e-01
+0.00000000000000000000e+00
+1.76776695296636865429e-01
+6.84653196881457648537e-01
+0.00000000000000000000e+00
+-1.76776695296636865429e-01
+6.84653196881457648537e-01
+2.63523138347364960232e-01
+4.56435464587638395351e-01
+4.71404520791031678151e-01
+-2.63523138347364960232e-01
+4.56435464587638395351e-01
+-4.71404520791031678151e-01
+4
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+1.53392997769474098702e-01
+5.94088525786004573170e-01
+-3.51467511677403643411e-01
+0.00000000000000000000e+00
+-1.53392997769474098702e-01
+5.94088525786004573170e-01
+3.51467511677403643411e-01
+1.54303349962091912451e-01
+2.67261241912424396538e-01
+1.72516389835588562773e-01
+-6.12372435695794470334e-01
+-1.54303349962091912451e-01
+2.67261241912424396538e-01
+-1.72516389835588562773e-01
+-6.12372435695794470334e-01
+0.00000000000000000000e+00
+8.78668779193509108527e-02
+3.40306954864886324064e-01
+6.13571991077896394806e-01
+0.00000000000000000000e+00
+-8.78668779193509108527e-02
+3.40306954864886324064e-01
+-6.13571991077896394806e-01
+2.15645487294485682650e-01
+3.73508940416998003187e-01
+4.43622131141014230948e-01
+3.42326598440728824269e-01
+-2.15645487294485682650e-01
+3.73508940416998003187e-01
+-4.43622131141014230948e-01
+3.42326598440728824269e-01
+5
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+1.46647115021353302566e-01
+2.54000254000381009423e-01
+1.63956458945988231557e-01
+-5.81987695247377923025e-01
+2.19970672532029926094e-01
+-1.46647115021353302566e-01
+2.54000254000381009423e-01
+-1.63956458945988231557e-01
+-5.81987695247377923025e-01
+-2.19970672532029926094e-01
+0.00000000000000000000e+00
+7.02439358686270526322e-02
+2.72053593791254377798e-01
+4.29197537639476045523e-01
+-4.86664263392287632648e-01
+0.00000000000000000000e+00
+-7.02439358686270526322e-02
+2.72053593791254377798e-01
+-4.29197537639476045523e-01
+-4.86664263392287632648e-01
+1.22012412152227842088e-01
+2.11331697001692936366e-01
+2.08908333645301647064e-01
+-5.53396284716417136140e-02
+-6.27492405354314608523e-01
+-1.22012412152227842088e-01
+2.11331697001692936366e-01
+-2.08908333645301647064e-01
+-5.53396284716417136140e-02
+6.27492405354314608523e-01
+0.00000000000000000000e+00
+5.36496922049345056904e-02
+2.07784364438865221114e-01
+4.39024599178919061604e-01
+5.11081959901581783789e-01
+0.00000000000000000000e+00
+-5.36496922049345056904e-02
+2.07784364438865221114e-01
+-4.39024599178919061604e-01
+5.11081959901581783789e-01
+1.84174088668055735418e-01
+3.18998879010767955045e-01
+3.95016566365811783168e-01
+3.87834176035668387605e-01
+2.40553911729705471867e-01
+-1.84174088668055735418e-01
+3.18998879010767955045e-01
+-3.95016566365811783168e-01
+3.87834176035668387605e-01
+-2.40553911729705471867e-01
+6
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+6.90065559342354223338e-02
+2.67261241912424396538e-01
+4.21637021355783903065e-01
+-4.78091443733757448520e-01
+1.32137494528681981310e-01
+0.00000000000000000000e+00
+-6.90065559342354223338e-02
+2.67261241912424396538e-01
+-4.21637021355783903065e-01
+-4.78091443733757448520e-01
+-1.32137494528681981310e-01
+1.07622738385727292898e-01
+1.86408050933772967417e-01
+1.82895336805923264256e-01
+-5.69486002368798857609e-02
+-5.38113691928636450612e-01
+3.56944242136036815616e-01
+-1.07622738385727292898e-01
+1.86408050933772967417e-01
+-1.82895336805923264256e-01
+-5.69486002368798857609e-02
+5.38113691928636450612e-01
+3.56944242136036815616e-01
+0.00000000000000000000e+00
+4.17814244489654665338e-02
+1.61818761071666650242e-01
+3.19724575109042119525e-01
+2.21973542660274664184e-01
+-5.66191613825598794030e-01
+0.00000000000000000000e+00
+-4.17814244489654665338e-02
+1.61818761071666650242e-01
+-3.19724575109042119525e-01
+2.21973542660274664184e-01
+5.66191613825598794030e-01
+1.05568077133336241102e-01
+1.82849273252288557767e-01
+2.04676750730998752159e-01
+9.36564731418126489304e-02
+-2.45278210958604636627e-01
+-5.87023011762966229199e-01
+-1.05568077133336241102e-01
+1.82849273252288557767e-01
+-2.04676750730998752159e-01
+9.36564731418126489304e-02
+2.45278210958604636627e-01
+-5.87023011762966229199e-01
+0.00000000000000000000e+00
+3.61235077077327743078e-02
+1.39905743758644285357e-01
+3.11370427776249680818e-01
+4.69258130230493342161e-01
+4.02450914986221097713e-01
+0.00000000000000000000e+00
+-3.61235077077327743078e-02
+1.39905743758644285357e-01
+-3.11370427776249680818e-01
+4.69258130230493342161e-01
+-4.02450914986221097713e-01
+1.61557581910374198353e-01
+2.79825940216738677790e-01
+3.52652456017037374547e-01
+3.76555328895631147290e-01
+3.19268554727644260360e-01
+1.65850868000944340341e-01
+-1.61557581910374198353e-01
+2.79825940216738677790e-01
+-3.52652456017037374547e-01
+3.76555328895631147290e-01
+-3.19268554727644260360e-01
+1.65850868000944340341e-01
+7
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.89981317681863104418e-02
+-2.67228615257610491174e-01
+-4.21585548851001301607e-01
+4.78033079399323601599e-01
+-1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+6.89981317681863104418e-02
+-2.67228615257610491174e-01
+4.21585548851001301607e-01
+4.78033079399323601599e-01
+1.32121363478810649461e-01
+1.10485434560398040893e-02
+1.06980326843028147876e-01
+1.85295361502449323909e-01
+1.81803615137878848973e-01
+-5.66086680006120251951e-02
+-5.34901634215140697748e-01
+3.54813604087910350326e-01
+-7.71446107796869146034e-02
+-1.06980326843028147876e-01
+1.85295361502449323909e-01
+-1.81803615137878848973e-01
+-5.66086680006120251951e-02
+5.34901634215140697748e-01
+3.54813604087910350326e-01
+7.71446107796869146034e-02
+0.00000000000000000000e+00
+3.95284707521047426471e-02
+1.53093108923948617583e-01
+3.01903682212279977914e-01
+2.05395959064437305663e-01
+-5.29838811967061062980e-01
+2.46855220726643731499e-01
+0.00000000000000000000e+00
+-3.95284707521047426471e-02
+1.53093108923948617583e-01
+-3.01903682212279977914e-01
+2.05395959064437305663e-01
+5.29838811967061062980e-01
+2.46855220726643731499e-01
+8.64761849358180317848e-02
+1.49781145953559208239e-01
+1.65785918816308386337e-01
+6.56248039525380993942e-02
+-2.21885517531997533691e-01
+-4.11325226866508297796e-01
+4.68907524824438315392e-01
+-8.64761849358180317848e-02
+1.49781145953559208239e-01
+-1.65785918816308386337e-01
+6.56248039525380993942e-02
+2.21885517531997533691e-01
+-4.11325226866508297796e-01
+-4.68907524824438315392e-01
+0.00000000000000000000e+00
+2.86703685130632150713e-02
+1.11039859780723337845e-01
+2.36848948891486638102e-01
+2.90857133198612394231e-01
+7.84279657250585605921e-03
+-5.88295294497251042287e-01
+0.00000000000000000000e+00
+-2.86703685130632150713e-02
+1.11039859780723337845e-01
+-2.36848948891486638102e-01
+2.90857133198612394231e-01
+-7.84279657250585605921e-03
+-5.88295294497251042287e-01
+9.50931665454351343625e-02
+1.64706195909302688385e-01
+1.94920686522911973393e-01
+1.46794852602623371318e-01
+-4.81649604788955201795e-02
+-3.74916788415118829025e-01
+-5.11276729635545601482e-01
+-9.50931665454351343625e-02
+1.64706195909302688385e-01
+-1.94920686522911973393e-01
+1.46794852602623371318e-01
+4.81649604788955201795e-02
+-3.74916788415118829025e-01
+5.11276729635545601482e-01
+0.00000000000000000000e+00
+2.58315268968977787556e-02
+1.00045073478794044330e-01
+2.27981341507730889129e-01
+3.77817254856742446023e-01
+4.49169532791078351952e-01
+3.04711463781546343377e-01
+0.00000000000000000000e+00
+-2.58315268968977787556e-02
+1.00045073478794044330e-01
+-2.27981341507730889129e-01
+3.77817254856742446023e-01
+-4.49169532791078351952e-01
+3.04711463781546343377e-01
+1.44438546738283157822e-01
+2.50174901522118353636e-01
+3.18080857425383445314e-01
+3.53197832400995226365e-01
+3.37620129221579190482e-01
+2.52721159802372086212e-01
+1.13006849013016108518e-01
+-1.44438546738283157822e-01
+2.50174901522118353636e-01
+-3.18080857425383445314e-01
+3.53197832400995226365e-01
+-3.37620129221579190482e-01
+2.52721159802372086212e-01
+-1.13006849013016108518e-01
+8
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.89981317681863104418e-02
+-2.67228615257610491174e-01
+-4.21585548851001301607e-01
+4.78033079399323601599e-01
+-1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.89981317681863104418e-02
+-2.67228615257610491174e-01
+4.21585548851001301607e-01
+4.78033079399323601599e-01
+1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+1.06977062012727761053e-01
+1.85289706650490965112e-01
+1.81798066847188993789e-01
+-5.66069404148024923895e-02
+-5.34885310063638819145e-01
+3.54802775870799780300e-01
+-7.71422564770761626241e-02
+5.52427172801990204465e-03
+-1.06977062012727761053e-01
+1.85289706650490965112e-01
+-1.81798066847188993789e-01
+-5.66069404148024923895e-02
+5.34885310063638819145e-01
+3.54802775870799780300e-01
+7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+3.94514921576235855216e-02
+1.52794972109508653269e-01
+3.01315748485444623306e-01
+2.04995966554227471157e-01
+-5.28806992464035618973e-01
+2.46374489558189385674e-01
+-4.41081091391230875609e-02
+0.00000000000000000000e+00
+-3.94514921576235855216e-02
+1.52794972109508653269e-01
+-3.01315748485444623306e-01
+2.04995966554227471157e-01
+5.28806992464035618973e-01
+2.46374489558189385674e-01
+4.41081091391230875609e-02
+8.43312289034136020049e-02
+1.46065973125433373747e-01
+1.61631737532109603928e-01
+6.37484169813984646868e-02
+-2.16851731465920682940e-01
+-3.99564349117424832958e-01
+4.56090854901222808593e-01
+-1.63306722554063227237e-01
+-8.43312289034136020049e-02
+1.46065973125433373747e-01
+-1.61631737532109603928e-01
+6.37484169813984646868e-02
+2.16851731465920682940e-01
+-3.99564349117424832958e-01
+-4.56090854901222808593e-01
+-1.63306722554063227237e-01
+0.00000000000000000000e+00
+2.58430814883383597191e-02
+1.00089824219015660622e-01
+2.12700425618062072264e-01
+2.55888324646720177746e-01
+-1.03051686103246484261e-02
+-4.96282756040329176006e-01
+3.63580920890125280920e-01
+0.00000000000000000000e+00
+-2.58430814883383597191e-02
+1.00089824219015660622e-01
+-2.12700425618062072264e-01
+2.55888324646720177746e-01
+1.03051686103246484261e-02
+-4.96282756040329176006e-01
+-3.63580920890125280920e-01
+7.42292692888545657670e-02
+1.28568865817008215480e-01
+1.50304516117233610828e-01
+1.03644762948322116669e-01
+-6.69121025632302135477e-02
+-3.09991123262384926651e-01
+-2.33350256358479807295e-01
+5.38147107915712630266e-01
+-7.42292692888545657670e-02
+1.28568865817008215480e-01
+-1.50304516117233610828e-01
+1.03644762948322116669e-01
+6.69121025632302135477e-02
+-3.09991123262384926651e-01
+2.33350256358479807295e-01
+5.38147107915712630266e-01
+0.00000000000000000000e+00
+2.13434791213833602308e-02
+8.26629391872434615696e-02
+1.82959231101957831012e-01
+2.69218188725434293129e-01
+1.96827002538047468594e-01
+-1.80532124571328556062e-01
+-5.61628047792796514237e-01
+0.00000000000000000000e+00
+-2.13434791213833602308e-02
+8.26629391872434615696e-02
+-1.82959231101957831012e-01
+2.69218188725434293129e-01
+-1.96827002538047468594e-01
+-1.80532124571328556062e-01
+5.61628047792796514237e-01
+8.71939722326492833160e-02
+1.51024390020698451309e-01
+1.84102234147576759860e-01
+1.66389240058105319919e-01
+5.20293149261530224470e-02
+-1.83637591370366171084e-01
+-4.40134468134723177979e-01
+-4.21736491643413424768e-01
+-8.71939722326492833160e-02
+1.51024390020698451309e-01
+-1.84102234147576759860e-01
+1.66389240058105319919e-01
+-5.20293149261530224470e-02
+-1.83637591370366171084e-01
+4.40134468134723177979e-01
+-4.21736491643413424768e-01
+0.00000000000000000000e+00
+1.92854509208143926058e-02
+7.46922302404146309929e-02
+1.72371744816637278985e-01
+2.99250122582078892375e-01
+4.05043262634303791181e-01
+4.00361235182952079903e-01
+2.24582556324644078138e-01
+0.00000000000000000000e+00
+-1.92854509208143926058e-02
+7.46922302404146309929e-02
+-1.72371744816637278985e-01
+2.99250122582078892375e-01
+-4.05043262634303791181e-01
+4.00361235182952079903e-01
+-2.24582556324644078138e-01
+1.30994289272089087239e-01
+2.26888764520633029464e-01
+2.89907908446132789315e-01
+3.28805065784444794375e-01
+3.33689839232842344607e-01
+2.90099600883832520193e-01
+1.94575209516250513531e-01
+7.63964570434042811176e-02
+-1.30994289272089087239e-01
+2.26888764520633029464e-01
+-2.89907908446132789315e-01
+3.28805065784444794375e-01
+-3.33689839232842344607e-01
+2.90099600883832520193e-01
+-1.94575209516250513531e-01
+7.63964570434042811176e-02
+9
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.89981317681863104418e-02
+-2.67228615257610491174e-01
+-4.21585548851001301607e-01
+4.78033079399323601599e-01
+-1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.89981317681863104418e-02
+-2.67228615257610491174e-01
+4.21585548851001301607e-01
+4.78033079399323601599e-01
+1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.06977062012727761053e-01
+1.85289706650490965112e-01
+1.81798066847188993789e-01
+-5.66069404148024923895e-02
+-5.34885310063638819145e-01
+3.54802775870799780300e-01
+-7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+-1.06977062012727761053e-01
+1.85289706650490965112e-01
+-1.81798066847188993789e-01
+-5.66069404148024923895e-02
+5.34885310063638819145e-01
+3.54802775870799780300e-01
+7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+3.94511911654768648861e-02
+1.52793806371937068711e-01
+3.01313449619951434499e-01
+2.04994402553155097291e-01
+-5.28802957971468812204e-01
+2.46372609862835600936e-01
+-4.41077726196727123997e-02
+2.76213586400995102232e-03
+0.00000000000000000000e+00
+-3.94511911654768648861e-02
+1.52793806371937068711e-01
+-3.01313449619951434499e-01
+2.04994402553155097291e-01
+5.28802957971468812204e-01
+2.46372609862835600936e-01
+4.41077726196727123997e-02
+2.76213586400995102232e-03
+8.42792584469231470523e-02
+1.45975957654299354216e-01
+1.61532129411937286356e-01
+6.37091310089995394028e-02
+-2.16718093149230961458e-01
+-3.99318111254050089887e-01
+4.55809781682694425964e-01
+-1.63206082197822066604e-01
+2.48208774732423982645e-02
+-8.42792584469231470523e-02
+1.45975957654299354216e-01
+-1.61532129411937286356e-01
+6.37091310089995394028e-02
+2.16718093149230961458e-01
+-3.99318111254050089887e-01
+-4.55809781682694425964e-01
+-1.63206082197822066604e-01
+-2.48208774732423982645e-02
+0.00000000000000000000e+00
+2.55826160045998576842e-02
+9.90810457382345771693e-02
+2.10543186526815251369e-01
+2.53202232631380974581e-01
+-1.04972100214821631448e-02
+-4.90701827637742893362e-01
+3.59570944408087345145e-01
+-1.04397954978139834159e-01
+0.00000000000000000000e+00
+-2.55826160045998576842e-02
+9.90810457382345771693e-02
+-2.10543186526815251369e-01
+2.53202232631380974581e-01
+1.04972100214821631448e-02
+-4.90701827637742893362e-01
+-3.59570944408087345145e-01
+-1.04397954978139834159e-01
+6.98295820824746948929e-02
+1.20948384038147491171e-01
+1.41274481628820669510e-01
+9.67842712489446199697e-02
+-6.48168048065920765488e-02
+-2.92246884167049469916e-01
+-2.09939549356038923644e-01
+4.95960059392540952850e-01
+-2.67412021339565542100e-01
+-6.98295820824746948929e-02
+1.20948384038147491171e-01
+-1.41274481628820669510e-01
+9.67842712489446199697e-02
+6.48168048065920765488e-02
+-2.92246884167049469916e-01
+2.09939549356038923644e-01
+4.95960059392540952850e-01
+2.67412021339565542100e-01
+0.00000000000000000000e+00
+1.85039393315955744135e-02
+7.16654488705020520367e-02
+1.57855884003784086023e-01
+2.27349818186954932830e-01
+1.48804573982203869331e-01
+-1.84903565406234149382e-01
+-3.88267619132195818121e-01
+4.59163776792766986645e-01
+0.00000000000000000000e+00
+-1.85039393315955744135e-02
+7.16654488705020520367e-02
+-1.57855884003784086023e-01
+2.27349818186954932830e-01
+-1.48804573982203869331e-01
+-1.84903565406234149382e-01
+3.88267619132195818121e-01
+4.59163776792766986645e-01
+6.67803031919601691735e-02
+1.15666878073329079668e-01
+1.39376700703139261295e-01
+1.17827382371290270702e-01
+1.12588060760871605526e-02
+-1.84242596995609603239e-01
+-3.15833473518240370748e-01
+-3.92018502414369710007e-02
+5.59904227853391112113e-01
+-6.67803031919601691735e-02
+1.15666878073329079668e-01
+-1.39376700703139261295e-01
+1.17827382371290270702e-01
+-1.12588060760871605526e-02
+-1.84242596995609603239e-01
+3.15833473518240370748e-01
+-3.92018502414369710007e-02
+-5.59904227853391112113e-01
+0.00000000000000000000e+00
+1.66416380133660272989e-02
+6.44527868793789010526e-02
+1.45659749318545000962e-01
+2.33765216256414498641e-01
+2.47288638357724271932e-01
+6.37660677766828110080e-02
+-3.20321912564716038130e-01
+-5.01878516690173137604e-01
+0.00000000000000000000e+00
+-1.66416380133660272989e-02
+6.44527868793789010526e-02
+-1.45659749318545000962e-01
+2.33765216256414498641e-01
+-2.47288638357724271932e-01
+6.37660677766828110080e-02
+3.20321912564716038130e-01
+-5.01878516690173137604e-01
+8.07069192195687956648e-02
+1.39788484610650270978e-01
+1.73398419299368722335e-01
+1.71717133489792977974e-01
+1.04029695662908067133e-01
+-5.79991433603740669245e-02
+-2.90124027851231980346e-01
+-4.51983807980708751639e-01
+-3.34281908854268949849e-01
+-8.07069192195687956648e-02
+1.39788484610650270978e-01
+-1.73398419299368722335e-01
+1.71717133489792977974e-01
+-1.04029695662908067133e-01
+-5.79991433603740669245e-02
+2.90124027851231980346e-01
+-4.51983807980708751639e-01
+3.34281908854268949849e-01
+0.00000000000000000000e+00
+1.48845960620674032382e-02
+5.76477926634115511728e-02
+1.34034618659144066921e-01
+2.38878751987926574163e-01
+3.45697430762867186083e-01
+4.00168393617256923367e-01
+3.39713656770383565231e-01
+1.62419266616139756909e-01
+0.00000000000000000000e+00
+-1.48845960620674032382e-02
+5.76477926634115511728e-02
+-1.34034618659144066921e-01
+2.38878751987926574163e-01
+-3.45697430762867186083e-01
+4.00168393617256923367e-01
+-3.39713656770383565231e-01
+1.62419266616139756909e-01
+1.20131817436616411543e-01
+2.08074411405808373798e-01
+2.66669288884877064838e-01
+3.06281134811372646176e-01
+3.21622407413684696653e-01
+3.02414084535261695752e-01
+2.41431493954213149955e-01
+1.46733530264100547891e-01
+5.13575304039249891375e-02
+-1.20131817436616411543e-01
+2.08074411405808373798e-01
+-2.66669288884877064838e-01
+3.06281134811372646176e-01
+-3.21622407413684696653e-01
+3.02414084535261695752e-01
+-2.41431493954213149955e-01
+1.46733530264100547891e-01
+-5.13575304039249891375e-02
+10
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.89981317681863104418e-02
+-2.67228615257610491174e-01
+-4.21585548851001301607e-01
+4.78033079399323601599e-01
+-1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.89981317681863104418e-02
+-2.67228615257610491174e-01
+4.21585548851001301607e-01
+4.78033079399323601599e-01
+1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.06977062012727761053e-01
+1.85289706650490965112e-01
+1.81798066847188993789e-01
+-5.66069404148024923895e-02
+-5.34885310063638819145e-01
+3.54802775870799780300e-01
+-7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.06977062012727761053e-01
+1.85289706650490965112e-01
+-1.81798066847188993789e-01
+-5.66069404148024923895e-02
+5.34885310063638819145e-01
+3.54802775870799780300e-01
+7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+3.94511911654768648861e-02
+1.52793806371937068711e-01
+3.01313449619951434499e-01
+2.04994402553155097291e-01
+-5.28802957971468812204e-01
+2.46372609862835600936e-01
+-4.41077726196727123997e-02
+2.76213586400995102232e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-3.94511911654768648861e-02
+1.52793806371937068711e-01
+-3.01313449619951434499e-01
+2.04994402553155097291e-01
+5.28802957971468812204e-01
+2.46372609862835600936e-01
+4.41077726196727123997e-02
+2.76213586400995102232e-03
+0.00000000000000000000e+00
+-8.42790976968414706771e-02
+-1.45975679226990590065e-01
+-1.61531821313557283348e-01
+-6.37090094933597250737e-02
+2.16717679791878087281e-01
+3.99317349614470185060e-01
+-4.55808912293701407048e-01
+1.63205770906627439798e-01
+-2.48208301311305355730e-02
+1.38106793200497551116e-03
+8.42790976968414706771e-02
+-1.45975679226990590065e-01
+1.61531821313557283348e-01
+-6.37090094933597250737e-02
+-2.16717679791878087281e-01
+3.99317349614470185060e-01
+4.55808912293701407048e-01
+1.63205770906627439798e-01
+2.48208301311305355730e-02
+1.38106793200497551116e-03
+0.00000000000000000000e+00
+2.55777482388236804267e-02
+9.90621929624502101097e-02
+2.10503125146165287473e-01
+2.53154054244845605481e-01
+-1.04952126510928830244e-02
+-4.90608458704618444202e-01
+3.59502526575564584910e-01
+-1.04378090520484148596e-01
+1.37934117450112005143e-02
+0.00000000000000000000e+00
+-2.55777482388236804267e-02
+9.90621929624502101097e-02
+-2.10503125146165287473e-01
+2.53154054244845605481e-01
+1.04952126510928830244e-02
+-4.90608458704618444202e-01
+-3.59502526575564584910e-01
+-1.04378090520484148596e-01
+-1.37934117450112005143e-02
+6.95493887309795999485e-02
+1.20463074917414994514e-01
+1.40706002805930291411e-01
+9.63863928860014956834e-02
+-6.45815752501953388443e-02
+-2.91082595748077765929e-01
+-2.08969906038936920067e-01
+4.93833311205647940145e-01
+-2.66276656225330699002e-01
+6.49625907992928408596e-02
+-6.95493887309795999485e-02
+1.20463074917414994514e-01
+-1.40706002805930291411e-01
+9.63863928860014956834e-02
+6.45815752501953388443e-02
+-2.91082595748077765929e-01
+2.08969906038936920067e-01
+4.93833311205647940145e-01
+2.66276656225330699002e-01
+6.49625907992928408596e-02
+0.00000000000000000000e+00
+1.79676449726445530697e-02
+6.95883897496197834087e-02
+1.53240758123111914246e-01
+2.20442842618909340402e-01
+1.43367659836025090891e-01
+-1.80766642629617252380e-01
+-3.72354382446131060291e-01
+4.42012821524356058767e-01
+-1.88422019522498734867e-01
+0.00000000000000000000e+00
+-1.79676449726445530697e-02
+6.95883897496197834087e-02
+-1.53240758123111914246e-01
+2.20442842618909340402e-01
+-1.43367659836025090891e-01
+-1.80766642629617252380e-01
+3.72354382446131060291e-01
+4.42012821524356058767e-01
+1.88422019522498734867e-01
+6.00969132163765851207e-02
+1.04090907068821805770e-01
+1.25226851161405861035e-01
+1.04846094724564714573e-01
+6.66957652297663072805e-03
+-1.70442311878614111142e-01
+-2.79288187446689595284e-01
+-9.23284951943496856597e-03
+4.63380177395335213220e-01
+-3.70102128292582543967e-01
+-6.00969132163765851207e-02
+1.04090907068821805770e-01
+-1.25226851161405861035e-01
+1.04846094724564714573e-01
+-6.66957652297663072805e-03
+-1.70442311878614111142e-01
+2.79288187446689595284e-01
+-9.23284951943496856597e-03
+-4.63380177395335213220e-01
+-3.70102128292582543967e-01
+0.00000000000000000000e+00
+1.41766533894944757321e-02
+5.49059424824670377907e-02
+1.23443000635784255747e-01
+1.94048555860884847091e-01
+1.90650234799112749950e-01
+1.08364519699476417186e-02
+-2.91586699711520069833e-01
+-2.30660137744290338890e-01
+5.18844389222818946905e-01
+0.00000000000000000000e+00
+-1.41766533894944757321e-02
+5.49059424824670377907e-02
+-1.23443000635784255747e-01
+1.94048555860884847091e-01
+-1.90650234799112749950e-01
+1.08364519699476417186e-02
+2.91586699711520069833e-01
+-2.30660137744290338890e-01
+-5.18844389222818946905e-01
+6.18257465852510429416e-02
+1.07085334301532830725e-01
+1.31477462842682774058e-01
+1.23528959514926220398e-01
+5.46716532881320327331e-02
+-9.24251883137655744216e-02
+-2.59903771653139770148e-01
+-2.49677227887536518081e-01
+1.39170988700743070154e-01
+5.39792481712323080068e-01
+-6.18257465852510429416e-02
+1.07085334301532830725e-01
+-1.31477462842682774058e-01
+1.23528959514926220398e-01
+-5.46716532881320327331e-02
+-9.24251883137655744216e-02
+2.59903771653139770148e-01
+-2.49677227887536518081e-01
+-1.39170988700743070154e-01
+5.39792481712323080068e-01
+0.00000000000000000000e+00
+1.33475171279176553496e-02
+5.16947115496433351467e-02
+1.18338593246817738724e-01
+1.99488974442547706278e-01
+2.47433444106952810104e-01
+1.76857335792483721937e-01
+-7.73147289209733523663e-02
+-4.03957976370276361511e-01
+-4.26248972480881949121e-01
+0.00000000000000000000e+00
+-1.33475171279176553496e-02
+5.16947115496433351467e-02
+-1.18338593246817738724e-01
+1.99488974442547706278e-01
+-2.47433444106952810104e-01
+1.76857335792483721937e-01
+7.73147289209733523663e-02
+-4.03957976370276361511e-01
+4.26248972480881949121e-01
+7.51973000625467125069e-02
+1.30245544300333221388e-01
+1.63341276003923535631e-01
+1.70526599796504890749e-01
+1.30939192440971685638e-01
+2.03151545067934979905e-02
+-1.63221495163531127304e-01
+-3.58668304344964883335e-01
+-4.27241532923655742415e-01
+-2.57379984592180532932e-01
+-7.51973000625467125069e-02
+1.30245544300333221388e-01
+-1.63341276003923535631e-01
+1.70526599796504890749e-01
+-1.30939192440971685638e-01
+2.03151545067934979905e-02
+1.63221495163531127304e-01
+-3.58668304344964883335e-01
+4.27241532923655742415e-01
+-2.57379984592180532932e-01
+0.00000000000000000000e+00
+1.17970395645446788496e-02
+4.56897377680315353032e-02
+1.06735478516165258056e-01
+1.93328295713620590401e-01
+2.90991615491047739273e-01
+3.66618714800346245930e-01
+3.73047290429373512577e-01
+2.78093697547176332829e-01
+1.15841260276673477247e-01
+0.00000000000000000000e+00
+-1.17970395645446788496e-02
+4.56897377680315353032e-02
+-1.06735478516165258056e-01
+1.93328295713620590401e-01
+-2.90991615491047739273e-01
+3.66618714800346245930e-01
+-3.73047290429373512577e-01
+2.78093697547176332829e-01
+-1.15841260276673477247e-01
+1.11154188252270857973e-01
+1.92524701527008762492e-01
+2.47219185509918865096e-01
+2.86223068194520868790e-01
+3.06988572573322293646e-01
+3.02386479720596068610e-01
+2.65378536168870360346e-01
+1.95946684919057451113e-01
+1.08883370572501789186e-01
+3.43800712548983714023e-02
+-1.11154188252270857973e-01
+1.92524701527008762492e-01
+-2.47219185509918865096e-01
+2.86223068194520868790e-01
+-3.06988572573322293646e-01
+3.02386479720596068610e-01
+-2.65378536168870360346e-01
+1.95946684919057451113e-01
+-1.08883370572501789186e-01
+3.43800712548983714023e-02
+11
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+7.07106781186547461715e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.12372435695794470334e-01
+3.53553390593273730858e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.84653196881457648537e-01
+1.76776695296636865429e-01
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+2.33853586673371333093e-01
+4.05046293650491273652e-01
+-5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.33853586673371333093e-01
+4.05046293650491273652e-01
+5.22912516583797226666e-01
+8.83883476483184327144e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.53093108923948617583e-01
+5.92927061281571132767e-01
+-3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.53093108923948617583e-01
+5.92927061281571132767e-01
+3.50780380010057013518e-01
+4.41941738241592163572e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.46575492494482179096e-01
+-2.53876200144873775955e-01
+-1.63876382526586178434e-01
+5.81703452155821421066e-01
+-2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.46575492494482179096e-01
+-2.53876200144873775955e-01
+1.63876382526586178434e-01
+5.81703452155821421066e-01
+2.19863238741723254766e-01
+2.20970869120796081786e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-6.89981317681863104418e-02
+-2.67228615257610491174e-01
+-4.21585548851001301607e-01
+4.78033079399323601599e-01
+-1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+6.89981317681863104418e-02
+-2.67228615257610491174e-01
+4.21585548851001301607e-01
+4.78033079399323601599e-01
+1.32121363478810649461e-01
+1.10485434560398040893e-02
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+1.06977062012727761053e-01
+1.85289706650490965112e-01
+1.81798066847188993789e-01
+-5.66069404148024923895e-02
+-5.34885310063638819145e-01
+3.54802775870799780300e-01
+-7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-1.06977062012727761053e-01
+1.85289706650490965112e-01
+-1.81798066847188993789e-01
+-5.66069404148024923895e-02
+5.34885310063638819145e-01
+3.54802775870799780300e-01
+7.71422564770761626241e-02
+5.52427172801990204465e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+3.94511911654768648861e-02
+1.52793806371937068711e-01
+3.01313449619951434499e-01
+2.04994402553155097291e-01
+-5.28802957971468812204e-01
+2.46372609862835600936e-01
+-4.41077726196727123997e-02
+2.76213586400995102232e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-3.94511911654768648861e-02
+1.52793806371937068711e-01
+-3.01313449619951434499e-01
+2.04994402553155097291e-01
+5.28802957971468812204e-01
+2.46372609862835600936e-01
+4.41077726196727123997e-02
+2.76213586400995102232e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-8.42790976968414706771e-02
+-1.45975679226990590065e-01
+-1.61531821313557283348e-01
+-6.37090094933597250737e-02
+2.16717679791878087281e-01
+3.99317349614470185060e-01
+-4.55808912293701407048e-01
+1.63205770906627439798e-01
+-2.48208301311305355730e-02
+1.38106793200497551116e-03
+0.00000000000000000000e+00
+8.42790976968414706771e-02
+-1.45975679226990590065e-01
+1.61531821313557283348e-01
+-6.37090094933597250737e-02
+-2.16717679791878087281e-01
+3.99317349614470185060e-01
+4.55808912293701407048e-01
+1.63205770906627439798e-01
+2.48208301311305355730e-02
+1.38106793200497551116e-03
+0.00000000000000000000e+00
+0.00000000000000000000e+00
+-2.55777360423999899908e-02
+-9.90621457259043686205e-02
+-2.10503024770429369994e-01
+-2.53153933531557018277e-01
+1.04952076465843150560e-02
+4.90608224764219391645e-01
+-3.59502355151360586394e-01
+1.04378040749120215569e-01
+-1.37934051677983740558e-02
+6.90533966002487755581e-04
+0.00000000000000000000e+00
+2.55777360423999899908e-02
+-9.90621457259043686205e-02
+2.10503024770429369994e-01
+-2.53153933531557018277e-01
+-1.04952076465843150560e-02
+4.90608224764219391645e-01
+3.59502355151360586394e-01
+1.04378040749120215569e-01
+1.37934051677983740558e-02
+6.90533966002487755581e-04
+6.95453840939869033511e-02
+1.20456138682677765805e-01
+1.40697900988298069125e-01
+9.63808429807962024904e-02
+-6.45778566587021235490e-02
+-2.91065835282570684051e-01
+-2.08957873602256261059e-01
+4.93804876402950676528e-01
+-2.66261324079825612010e-01
+6.49588502690164049103e-02
+-7.58802349632078237951e-03
+-6.95453840939869033511e-02
+1.20456138682677765805e-01
+-1.40697900988298069125e-01
+9.63808429807962024904e-02
+6.45778566587021235490e-02
+-2.91065835282570684051e-01
+2.08957873602256261059e-01
+4.93804876402950676528e-01
+2.66261324079825612010e-01
+6.49588502690164049103e-02
+7.58802349632078237951e-03
+0.00000000000000000000e+00
+1.79409066807431141766e-02
+6.94848327903794665827e-02
+1.53012297620643472618e-01
+2.20111480159701111692e-01
+1.43142586615585376553e-01
+-1.80510381278339071542e-01
+-3.71751672089394635812e-01
+4.41314970123832250870e-01
+-1.88126215358685316970e-01
+3.95559811435529790069e-02
+0.00000000000000000000e+00
+-1.79409066807431141766e-02
+6.94848327903794665827e-02
+-1.53012297620643472618e-01
+2.20111480159701111692e-01
+-1.43142586615585376553e-01
+-1.80510381278339071542e-01
+3.71751672089394635812e-01
+4.41314970123832250870e-01
+1.88126215358685316970e-01
+3.95559811435529790069e-02
+5.92363103432655135894e-02
+1.02600299167453681837e-01
+1.23425366129515573510e-01
+1.03296130267200331199e-01
+6.43340478975442178755e-03
+-1.68184087365804285641e-01
+-2.75066440817059276736e-01
+-8.11908042567650346799e-03
+4.55183095357789890834e-01
+-3.63842490854997702154e-01
+1.28189609146893340741e-01
+-5.92363103432655135894e-02
+1.02600299167453681837e-01
+-1.23425366129515573510e-01
+1.03296130267200331199e-01
+-6.43340478975442178755e-03
+-1.68184087365804285641e-01
+2.75066440817059276736e-01
+-8.11908042567650346799e-03
+-4.55183095357789890834e-01
+-3.63842490854997702154e-01
+-1.28189609146893340741e-01
+0.00000000000000000000e+00
+1.33705655534651808580e-02
+5.17839777179451982159e-02
+1.16356419625834262010e-01
+1.82478485662474709805e-01
+1.77734876478498171615e-01
+6.03803797757294057058e-03
+-2.75417777068005853458e-01
+-2.01120294025606938249e-01
+4.70642176902570485986e-01
+-2.84372829253447090281e-01
+0.00000000000000000000e+00
+-1.33705655534651808580e-02
+5.17839777179451982159e-02
+-1.16356419625834262010e-01
+1.82478485662474709805e-01
+-1.77734876478498171615e-01
+6.03803797757294057058e-03
+2.75417777068005853458e-01
+-2.01120294025606938249e-01
+-4.70642176902570485986e-01
+-2.84372829253447090281e-01
+5.35216692036052099635e-02
+9.27022503665387159755e-02
+1.13563582111631145022e-01
+1.05431106363779017454e-01
+4.27057080338058836499e-02
+-8.82457560722657574637e-02
+-2.28716795670387856854e-01
+-1.93890834223618746535e-01
+1.62143135477166355773e-01
+3.65319804536886005852e-01
+-4.53060970710558064134e-01
+-5.35216692036052099635e-02
+9.27022503665387159755e-02
+-1.13563582111631145022e-01
+1.05431106363779017454e-01
+-4.27057080338058836499e-02
+-8.82457560722657574637e-02
+2.28716795670387856854e-01
+-1.93890834223618746535e-01
+-1.62143135477166355773e-01
+3.65319804536886005852e-01
+4.53060970710558064134e-01
+0.00000000000000000000e+00
+1.13991489495187583308e-02
+4.41487140424239171699e-02
+1.00557166842546119589e-01
+1.66342803436241276627e-01
+1.94843109840054734549e-01
+1.08914161690773961255e-01
+-1.24469037296297352357e-01
+-3.19982790793915006233e-01
+-5.39795070473810742473e-02
+5.38068612254463229938e-01
+0.00000000000000000000e+00
+-1.13991489495187583308e-02
+4.41487140424239171699e-02
+-1.00557166842546119589e-01
+1.66342803436241276627e-01
+-1.94843109840054734549e-01
+1.08914161690773961255e-01
+1.24469037296297352357e-01
+-3.19982790793915006233e-01
+5.39795070473810742473e-02
+5.38068612254463229938e-01
+5.81003036574986309049e-02
+1.00632677869967504525e-01
+1.25099551604094860746e-01
+1.25223109819501382534e-01
+8.02359439172549704367e-02
+-2.88090605695263055064e-02
+-1.83611348705344928911e-01
+-2.79057603856599056869e-01
+-1.35124956388181033384e-01
+2.79191283496871556213e-01
+4.90006249842694474594e-01
+-5.81003036574986309049e-02
+1.00632677869967504525e-01
+-1.25099551604094860746e-01
+1.25223109819501382534e-01
+-8.02359439172549704367e-02
+-2.88090605695263055064e-02
+1.83611348705344928911e-01
+-2.79057603856599056869e-01
+1.35124956388181033384e-01
+2.79191283496871556213e-01
+-4.90006249842694474594e-01
+0.00000000000000000000e+00
+1.09203683039434274599e-02
+4.22944045756242295586e-02
+9.76376615575970246974e-02
+1.69706665552446234191e-01
+2.29621252277138310216e-01
+2.20016360616412914863e-01
+7.54144520608128060557e-02
+-2.01599709739908206085e-01
+-4.36954383967810944256e-01
+-3.48376849056570181418e-01
+0.00000000000000000000e+00
+-1.09203683039434274599e-02
+4.22944045756242295586e-02
+-9.76376615575970246974e-02
+1.69706665552446234191e-01
+-2.29621252277138310216e-01
+2.20016360616412914863e-01
+-7.54144520608128060557e-02
+-2.01599709739908206085e-01
+4.36954383967810944256e-01
+-3.48376849056570181418e-01
+7.04498935794742736638e-02
+1.22022795067469880248e-01
+1.54144282832189088994e-01
+1.66358282134883322945e-01
+1.44282391046699931536e-01
+6.86391663509140215194e-02
+-7.06468697561107028537e-02
+-2.49966711292477244966e-01
+-3.90468780131501935760e-01
+-3.81614344777228386985e-01
+-1.93941370348083008679e-01
+-7.04498935794742736638e-02
+1.22022795067469880248e-01
+-1.54144282832189088994e-01
+1.66358282134883322945e-01
+-1.44282391046699931536e-01
+6.86391663509140215194e-02
+7.06468697561107028537e-02
+-2.49966711292477244966e-01
+3.90468780131501935760e-01
+-3.81614344777228386985e-01
+1.93941370348083008679e-01
+0.00000000000000000000e+00
+9.55497517822956159150e-03
+3.70062597387083372369e-02
+8.67236719212111928368e-02
+1.58757326897540934629e-01
+2.45014253055384295665e-01
+3.24949361259582569783e-01
+3.65483819865823844619e-01
+3.32953285490653505541e-01
+2.21520404340856624792e-01
+8.17476669329120081420e-02
+0.00000000000000000000e+00
+-9.55497517822956159150e-03
+3.70062597387083372369e-02
+-8.67236719212111928368e-02
+1.58757326897540934629e-01
+-2.45014253055384295665e-01
+3.24949361259582569783e-01
+-3.65483819865823844619e-01
+3.32953285490653505541e-01
+-2.21520404340856624792e-01
+8.17476669329120081420e-02
+1.03596158798840001780e-01
+1.79433810508564495212e-01
+2.30710206912506182730e-01
+2.68541299016661239030e-01
+2.92062712041121219642e-01
+2.96375682161050479912e-01
+2.75584628986549118324e-01
+2.26878876755555181077e-01
+1.55827356111508857905e-01
+7.97573931637260147287e-02
+2.29395468045778226640e-02
+-1.03596158798840001780e-01
+1.79433810508564495212e-01
+-2.30710206912506182730e-01
+2.68541299016661239030e-01
+-2.92062712041121219642e-01
+2.96375682161050479912e-01
+-2.75584628986549118324e-01
+2.26878876755555181077e-01
+-1.55827356111508857905e-01
+7.97573931637260147287e-02
+-2.29395468045778226640e-02
diff --git a/twoscale.h b/twoscale.h
new file mode 100644
index 0000000..f26f9cf
--- /dev/null
+++ b/twoscale.h
@@ -0,0 +1,86 @@
+#include <string>
+#include <fstream>
+#include "Matrix.h"
+
+//Return the twoscale coefficients for the multiwavelets of order k.
+//
+//Note that a cached value is returned ... if you want to modify it
+//take a copy first
+class TwoScaleCoeffs {
+private:
+  std::vector<real_matrix> coeffs;
+  static TwoScaleCoeffs* _instance;
+  TwoScaleCoeffs() {
+    std::ifstream fil("tscoeffs");
+    if (fil.is_open()) {
+      int maxk = -1;
+      fil >> maxk;
+      for (auto k = 1; k <= maxk; k++) {
+        real_matrix matk;
+        matk.create(2*k,2*k);
+        int readk; double val = 0.0;
+        fil >> readk;
+        assert(k == readk);
+        for (auto j = 0; j < 4*k*k; j++) {
+          fil >> val;
+          matk[j] = val; 
+        }
+        coeffs.push_back(matk); 
+      }
+    }
+  }
+  ~TwoScaleCoeffs() {}
+public:
+  static TwoScaleCoeffs* instance() {
+    if (!_instance) _instance = new TwoScaleCoeffs();
+    return _instance;
+  }
+  real_matrix hg(int k) {return coeffs[k-1];}
+};
+TwoScaleCoeffs* TwoScaleCoeffs::_instance = 0;
+
+// Evaluate the Legendre polynomials up to the given order at x
+// defined on [-1,1].
+std::vector<double> legendre(double x,int order) {
+  std::vector<double> p(order+1);
+  p[0] = 1.0;
+  if (order == 0) return p;
+  p[1] = x;
+  for (int j = 1; j < order; j++) {
+    p[j+1] = j*(x*p[j] - p[j-1])/(j+1) + x*p[j];
+  }
+  return p;
+}
+
+class ScalingFunction {
+private:
+  double norms[100];
+  static ScalingFunction* _instance;
+  ScalingFunction() {
+    for (int i = 0; i < 100; i++) {
+      norms[i] = std::sqrt(2*i+1);
+    } 
+  }
+  ~ScalingFunction() {}
+public:
+  static ScalingFunction* instance() {
+    if (!_instance) _instance = new ScalingFunction();
+    return _instance;
+  }
+  // Evaluate the shifted normalized Legendre polynomials up to the
+  // given order at x defined on [0,1].
+  // These are also our scaling functions, phi_i(x) , i=0..k-1
+  // In addition to forming an orthonormal basis on [0,1] we have
+  // phi_j(1/2-x) = (-1)^j phi_j(1/2+x)
+  // (the wavelets are similar with phase (-1)^(j+k)).
+  std::vector<double> phi(double x,int k) {
+    auto order = k-1;
+    auto p = legendre(2.*x-1, order);
+    for (auto n = 0; n < k; n++)
+      p[n] = p[n]*norms[n];
+    return p;
+  }
+};
+ScalingFunction* ScalingFunction::_instance = 0;
+
+