sage: K = Qp(13,7) ## line 43 ## sage: R.<t> = K[] ## line 44 ## sage: R([K(13), K(1)]) ## line 45 ## (1 + O(13^7))*t + 13 + O(13^8) sage: T.<t> = ZZ[] ## line 47 ## sage: R(t + 2) ## line 48 ## (1 + O(13^7))*t + 2 + O(13^7) sage: f = R.zero() ## line 53 ## sage: R(f.monomial_coefficients()) ## line 54 ## 0 sage: R.<x> = PolynomialRing(ZZ) ## line 59 ## sage: f = x + 5 ## line 60 ## sage: S.<y> = PolynomialRing(Qp(5)) ## line 61 ## sage: g2 = S(f) ## line 62 ## sage: 25*g2 ## line 63 ##

Failed example:: Got: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 728, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1152, in compile_and_execute exec(compiled, globs) File "<doctest sage.rings.polynomial.polynomial_element.Polynomial.__truediv__[20]>", line 1, in <module> x/Integer(5) # needs sage.rings.finite_rings File "sage/rings/polynomial/polynomial_element.pyx", line 2773, in sage.rings.polynomial.polynomial_element.Polynomial.__truediv__ return wrapperdescr_fastcall(RingElement.__truediv__, File "sage/cpython/wrapperdescr.pyx", line 104, in sage.cpython.wrapperdescr.wrapperdescr_fastcall return slotdef.wrapper(self, args, slotwrapper.d_wrapped) File "sage/structure/element.pyx", line 1731, in sage.structure.element.Element.__truediv__ return coercion_model.bin_op(left, right, truediv) File "sage/structure/coerce.pyx", line 1230, in sage.structure.coerce.CoercionModel.bin_op return (<Action>action)._act_(y, x) File "sage/categories/action.pyx", line 507, in sage.categories.action.PrecomposedAction._act_ return self._action._act_(g, x) File "sage/categories/action.pyx", line 417, in sage.categories.action.InverseAction._act_ return self._action._act_(~g, x) File "sage/rings/finite_rings/integer_mod.pyx", line 2859, in sage.rings.finite_rings.integer_mod.IntegerMod_int.__invert__ raise ZeroDivisionError(f"inverse of Mod({self}, {self._modulus.sageInteger}) does not exist") ZeroDivisionError: inverse of Mod(0, 5) does not exist

sage: R.<x> = ZZ[] ## line 6 ## sage: f = x^5 + 2*x^2 + (-1) ## line 7 ## sage: f == loads(dumps(f)) ## line 8 ## True sage: PolynomialRing(ZZ,'x').objgen() ## line 11 ## (Univariate Polynomial Ring in x over Integer Ring, x) sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 46 ## 0 sage: from sage.rings.polynomial.polynomial_element import is_Polynomial ## line 145 ## sage: R.<x> = ZZ[] ## line 146 ## sage: is_Polynomial(x^3 + x + 1) ## line 147 ## doctest:warning File "<doctest sage.rings.polynomial.polynomial_element.is_Polynomial[2]>", line 1, in <module> is_Polynomial(x**Integer(3) + x + Integer(1)) File "/sage/src/sage/misc/superseded.py", line 138, in deprecation_cython warning(issue_number, message, DeprecationWarning, stacklevel) File "/sage/src/sage/misc/superseded.py", line 180, in warning warn(message, warning_class, stacklevel) File "/usr/lib/python3.10/warnings.py", line 109, in _showwarnmsg sw(msg.message, msg.category, msg.filename, msg.lineno, : DeprecationWarning: the function is_Polynomial is deprecated; use isinstance(x, sage.rings.polynomial.polynomial_element.Polynomial) instead See https://github.com/sagemath/sage/issues/32709 for details. True sage: S.<y> = R[] ## line 152 ## sage: f = y^3 + x*y - 3*x; f ## line 153 ## y^3 + x*y - 3*x sage: is_Polynomial(f) ## line 155 ## True sage: R.<x,y> = QQ[] ## line 162 ## sage: f = y^3 + x*y - 3*x; f ## line 163 ## y^3 + x*y - 3*x sage: is_Polynomial(f) ## line 165 ## False sage: var('x,y') ## line 169 ## (x, y) sage: f = y^3 + x*y - 3*x; f ## line 171 ## y^3 + x*y - 3*x sage: is_Polynomial(f) ## line 173 ## False sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 175 ## 0 sage: R.<y> = QQ['y'] ## line 191 ## sage: S.<x> = R['x'] ## line 192 ## sage: S ## line 193 ## Univariate Polynomial Ring in x over Univariate Polynomial Ring in y over Rational Field sage: f = x*y; f ## line 196 ## y*x sage: type(f) ## line 198 ## <class 'sage.rings.polynomial.polynomial_element.Polynomial_generic_dense'> sage: p = (y+1)^10; p(1) ## line 200 ## 1024 sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 209 ## 0 sage: R.<x> = ZZ[] ## line 219 ## sage: f = x^5 + 2*x^2 + (-1); f ## line 220 ## x^5 + 2*x^2 - 1 sage: f^2 ## line 222 ## x^10 + 4*x^7 - 2*x^5 + 4*x^4 - 4*x^2 + 1 sage: R.<x> = ZZ[ ]; R ## line 228 ## Univariate Polynomial Ring in x over Integer Ring sage: S.<Z> = R[ ]; S ## line 230 ## Univariate Polynomial Ring in Z over Univariate Polynomial Ring in x over Integer Ring sage: f = Z^3 + (x^2-2*x+1)*Z - 3; f ## line 232 ## Z^3 + (x^2 - 2*x + 1)*Z - 3 sage: f*f ## line 234 ## Z^6 + (2*x^2 - 4*x + 2)*Z^4 - 6*Z^3 + (x^4 - 4*x^3 + 6*x^2 - 4*x + 1)*Z^2 + (-6*x^2 + 12*x - 6)*Z + 9 sage: f^3 == f*f*f ## line 236 ## True sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 238 ## 0 sage: R = ZZ['x'] ## line 262 ## sage: p = R([1,2,3,4]) ## line 263 ## sage: q = R([4,-3,2,-1]) ## line 264 ## sage: p + q # indirect doctest ## line 265 ## 3*x^3 + 5*x^2 - x + 5 sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 267 ## 0 sage: R = GF(2)['x']['y'] ## line 294 ## sage: R([0,1]).is_zero() ## line 295 ## False sage: R([0]).is_zero() ## line 297 ## True sage: R([-1]).is_zero() ## line 299 ## False sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 301 ## 0 sage: R.<x> = QQ[] ## line 310 ## sage: (x - 3).is_one() ## line 311 ## False sage: R(1).is_one() ## line 313 ## True sage: R2.<y> = R[] ## line 316 ## sage: R2(x).is_one() ## line 317 ## False sage: R2(1).is_one() ## line 319 ## True sage: R2(-1).is_one() ## line 321 ## False sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 323 ## 0 sage: x = polygen(GF(389)) ## line 342 ## sage: plot(x^2 + 1, rgbcolor=(0,0,1)) # needs sage.plot ## line 343 ## Graphics object consisting of 1 graphics primitive sage: x = polygen(QQ) ## line 345 ## sage: plot(x^2 + 1, rgbcolor=(1,0,0))

Process completed with exit code 64.

ubuntu-latest pipelines will use ubuntu-24.04 soon. For more details, see https://github.com/actions/runner-images/issues/10636

The process '/usr/bin/git' failed with exit code 128