#4795: Modular forms over finite fields need work
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Reporter: craigcitro | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone: sage-3.4.1
Component: modular forms | Resolution:
Keywords: |
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Comment (by AlexGhitza):
Tracking the first problem:
{{{
sage: m = ModularForms(DirichletGroup(8).1, 2, GF(7))
sage: bas = m.free_module().basis(); bas
[
(1, 0, 0, 0, 0),
(0, 1, 0, 0, 0),
(0, 0, 1, 0, 0),
(0, 0, 0, 1, 0),
(0, 0, 0, 0, 1)
]
sage: m(bas[0]) # infinite loop and bug warning
}}}
Note that this seems to be specific to using Dirichlet characters over
finite fields, since the following works:
{{{
sage: m = ModularForms(8, 2, GF(7))
sage: m.basis()
[
1 + 3*q^4 + O(q^6),
q + 4*q^3 + 6*q^5 + O(q^6),
q^2 + O(q^6)
]
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4795#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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