2009/7/15 rje <rev...@ucsd.edu>:
>
> What is going on here? Does this only work for even weights? rje
>
> sage: n=numerical_eigenforms(15,3);n.ap(2)
> []
>
>

Type

sage: numerical_eigenforms?

and read it.   In particular, the first input is the group and if a
number N is given that it just defaults to Gamma0(N).  So the above is
correctly giving you the eigenvalues for Gamma0(15) and odd weight.

sage: n=numerical_eigenforms(Gamma1(15),3);n.ap(2)
[-5.0 - 1.99021290795e-14*I, -3.0 + 2.40206990184e-13*I, 5.0 +
3.72521051072e-12*I, 1.00000000001 - 4.0*I, 0.999999999998 + 4.0*I,
-3.0 - 3.86606026001e-12*I, 0.224744871392 - 0.224744871392*I,
0.224744871392 + 0.224744871392*I, -2.22474487139 - 2.22474487139*I,
1.0 - 4.0*I, -3.48610029732e-14 - 2.2360679775*I, -1.0 +
1.43583146453e-14*I, -4.27435864481e-14 + 2.2360679775*I, 1.0 + 4.0*I,
-2.22474487139 + 2.22474487139*I, 1.0 - 1.21528935033e-14*I]


William

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