Dear William, I thank you for your very prompt replay! Actually ther is a missprint in my post: the my group is Gamma0(15), not Gamma0(11), so the first line of my code was
SAGE: chi=DirichletGroup(15,QQ).1 so that the dimension of the eigenforms space is 4. I have just tried the code on the public notebook server without any crash: as you suggest me the origin of my problem is evidently in my binary (I'm using windows with VMware Player). In next days I will download a different version. Thank you again, Beppe William Stein ha scritto: > On Fri, Feb 6, 2009 at 8:58 AM, beppe <giuseppe.molt...@gmail.com> wrote: > >> Hello, >> I'm novice in SAGE but I have a strange problem: >> I have to compute some eigenvalues for the set of cuspidal newforms >> for the group Gamma0(15), weight 4 and Legendre character chi of >> conductor 5, so I type in SAGE the following set of instruction: >> >> SAGE: chi=DirichletGroup(11,QQ).1 >> SAGE: m=numerical_eigenforms(chi,4); m >> Numerical Hecke eigenvalues for [1,-1] of weight 4 >> SAGE: m.ap(2) >> >> This instruction produces a crash: in notebook the system answers: >> /usr/local/sage/local/bin/sage-sage: line 352: 4080 Illegal >> instruction >> python "$@" >> >> In SAGE command line mode this set of instructions produces a similar >> crash. >> Some could help me? I thank you in advance, >> Beppe >> >> > > You downloaded the wrong binary. Fixes: > > (1) download the right binary, if there is one available, or > > (2) use the public sage notebook server (sagenb.org), or > > (3) build sage from source. > > Second your code contains a bug: > > chi=DirichletGroup(11,QQ).1 > should be > chi=DirichletGroup(11,QQ).0 > > since the indexing in sage is 0 based. > > Third, that space as dimension 0. But if you > chi=DirichletGroup(11,QQ).0^2 > you get something of dimension 4. > > Here's some examples of how things were when you have a binary for the > right machine: > > sage: chi=DirichletGroup(11,QQ).0^2 > sage: m=numerical_eigenforms(chi,4); m > sage: m.ap(2) > [9.0, 9.0 + 2.77555756156e-17*I, 2.73205080757 + 1.23504195035e-16*I, > -0.732050807569 - 2.08519811694e-15*I] > sage: dimension_modular_forms(chi^2,4) > 4 > sage: m.ap(3) > [28.0, 28.0 - 1.66533453694e-16*I, -7.92820323028 + > 3.91694614232e-15*I, 5.92820323028 - 5.96234312405e-16*I] > sage: ModularForms(chi,4) > Modular Forms space of dimension 4 for Congruence Subgroup Gamma0(11) > of weight 4 over Rational Field > sage: ModularForms(chi,4).basis() > [ > q + 3*q^3 - 6*q^4 - 7*q^5 + O(q^6), > q^2 - 4*q^3 + 2*q^4 + 8*q^5 + O(q^6), > 1 + O(q^6), > q + 9*q^2 + 28*q^3 + 73*q^4 + 126*q^5 + O(q^6) > ] > > > > > -- William > > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
