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
-~----------~----~----~----~------~----~------~--~---

Reply via email to