#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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