William, Volker, Thanks for the replies. Kernels for the rationals go to IML and for number fields they go to PARI. Does either of those rely on linbox?
Here's the requested output - three different number fields are evident. Thanks for the help. Rob ** Stock 4.6.2.alpha3, second output repeats thereafter sage: set_random_seed(0) sage: ModularSymbols_clear_cache() sage: M = ModularSymbols(62,2,sign=-1) sage: S = M.cuspidal_submodule().new_submodule() sage: [A.system_of_eigenvalues(3) for A in S.decomposition()] [[1, 1, 0], [1, -1, -alpha - 1]] sage: [A.system_of_eigenvalues(3)[0].parent() for A in S.decomposition()] [Rational Field, Number Field in alpha with defining polynomial x^2 + 4*x + 1] sage: set_random_seed(0) sage: ModularSymbols_clear_cache() sage: M = ModularSymbols(62,2,sign=-1) sage: S = M.cuspidal_submodule().new_submodule() sage: [A.system_of_eigenvalues(3) for A in S.decomposition()] [[1, 1, 0], [1, -1, 1/2*alpha + 1/2]] sage: [A.system_of_eigenvalues(3)[0].parent() for A in S.decomposition()] [Rational Field, Number Field in alpha with defining polynomial x^2 - 2*x - 11] ** 4.6.2.alpha3 + patches at #10746, identical output each run sage: set_random_seed(0) sage: ModularSymbols_clear_cache() sage: M = ModularSymbols(62,2,sign=-1) sage: S = M.cuspidal_submodule().new_submodule() sage: [A.system_of_eigenvalues(3) for A in S.decomposition()] [[1, 1, 0], [1, -1, -1/2*alpha - 1/2]] sage: [A.system_of_eigenvalues(3)[0].parent() for A in S.decomposition()] [Rational Field, Number Field in alpha with defining polynomial x^2 + 6*x - 3] -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
