#4335: Labelling of newforms
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Reporter: ljpk | Owner: craigcitro
Type: defect | Status: new
Priority: minor | Milestone: sage-3.2
Component: modular forms | Keywords:
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Given a space of CuspForms, there is a newforms method which gives a list
of newforms associated to that space, with a name specified by the user.
However, this does not seem to work correctly at the moment:
{{{
sage: S=CuspForms(23)
sage: S.newforms('b')
[q + a0*q^2 + (-2*a0 - 1)*q^3 + (-a0 - 1)*q^4 + 2*a0*q^5 + O(q^6)]
}}}
I think that the newforms code should be changed to something like:
{{{
def newforms(self, names=None):
"""
Return all cusp forms in the cuspidal subspace of self.
EXAMPLES:
sage: CuspForms(23).newforms('b')
[q + b0*q^2 + (-2*b0 - 1)*q^3 + (-b0 - 1)*q^4 + 2*b0*q^5 + O(q^6)]
"""
M = self.modular_symbols(sign=1)
factors = M.cuspidal_subspace().new_subspace().decomposition()
large_dims = [ X.dimension() for X in factors if X.dimension() !=
1 ]
if len(large_dims) > 0 and names is None:
names = 'a'
return [ element.Newform(self, factors[i], names=(names+str(i)) )
for i in range(len(factors)) ]
}}}
(removing the ValueError statement) as this should correctly use the user-
specified name if one is given or default to 'a' if one is not.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4335>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
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