#10450: Problem computing Hecke matrices on subspaces of modular forms spaces
-----------------------------+----------------------------------------------
   Reporter:  davidloeffler  |       Owner:  craigcitro    
       Type:  defect         |      Status:  new           
   Priority:  major          |   Milestone:  sage-4.6.2    
  Component:  modular forms  |    Keywords:  hecke operator
     Author:                 |    Upstream:  N/A           
   Reviewer:                 |      Merged:                
Work_issues:                 |  
-----------------------------+----------------------------------------------
 Sage seems to have trouble computing Hecke matrices on subspaces of Gamma1
 modular forms spaces, which is absurd, since it has no trouble computing
 Hecke matrices on the parent spaces:

 {{{
 sage: S = CuspForms(Gamma1(22))
 sage: S.new_submodule().hecke_matrix(5)
 ---------------------------------------------------------------------------
 NotImplementedError                       Traceback (most recent call
 last)

 /home/masiao/<ipython console> in <module>()

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/hecke/module.pyc in hecke_matrix(self, n)
    1288             raise IndexError, "n must be positive."
    1289         if not self._hecke_matrices.has_key(n):
 -> 1290             T = self._compute_hecke_matrix(n)
    1291             T.set_immutable()
    1292             self._hecke_matrices[n] = T

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/modform/space.pyc in _compute_hecke_matrix(self, n)
    1311         """
    1312         if hasattr(self, '_compute_q_expansion_basis'):
 -> 1313             return
 hecke.HeckeModule_generic._compute_hecke_matrix(self, n)
    1314         else:
    1315             return
 hecke.HeckeSubmodule._compute_hecke_matrix(self, n)

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/hecke/module.pyc in _compute_hecke_matrix(self, n,
 **kwds)
     214
     215         if arith.is_prime(n):
 --> 216             return self._compute_hecke_matrix_prime(n, **kwds)
     217
     218         F = arith.factor(n)

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/modform/space.pyc in
 _compute_hecke_matrix_prime(self, p, prec)
    1281         eps = self.character()
    1282         if eps is None:
 -> 1283             raise NotImplementedError
    1284         try:
    1285             return
 hecke_operator_on_qexp.hecke_operator_on_basis(B, p,

 NotImplementedError:
 sage: S.old_submodule().hecke_matrix(5)
 ---------------------------------------------------------------------------
 NotImplementedError                       Traceback (most recent call
 last)

 /home/masiao/<ipython console> in <module>()

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/hecke/module.pyc in hecke_matrix(self, n)
    1288             raise IndexError, "n must be positive."
    1289         if not self._hecke_matrices.has_key(n):
 -> 1290             T = self._compute_hecke_matrix(n)
    1291             T.set_immutable()
    1292             self._hecke_matrices[n] = T

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/modform/space.pyc in _compute_hecke_matrix(self, n)
    1311         """
    1312         if hasattr(self, '_compute_q_expansion_basis'):
 -> 1313             return
 hecke.HeckeModule_generic._compute_hecke_matrix(self, n)
    1314         else:
    1315             return
 hecke.HeckeSubmodule._compute_hecke_matrix(self, n)

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/hecke/module.pyc in _compute_hecke_matrix(self, n,
 **kwds)
     214
     215         if arith.is_prime(n):
 --> 216             return self._compute_hecke_matrix_prime(n, **kwds)
     217
     218         F = arith.factor(n)

 /usr/local/sage/sage-4.6/local/lib/python2.6/site-
 packages/sage/modular/modform/space.pyc in
 _compute_hecke_matrix_prime(self, p, prec)
    1281         eps = self.character()
    1282         if eps is None:
 -> 1283             raise NotImplementedError
    1284         try:
    1285             return
 hecke_operator_on_qexp.hecke_operator_on_basis(B, p,

 NotImplementedError:
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10450>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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