#15201: Problem with Hecke eigenvalues with the same index as the level
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Reporter: fstromberg | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.2
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by AlexGhitza:
Old description:
> It seems to be a problem to compute Hecke eigenvalues for Modular Symbol
> subspaces at integers dividing the level N unless the eigenvalue for the
> Hecke operator at N is computed first.
> I have verified this problem for sage versions between 5.8 and 5.12.beta.
>
> Example::
>
> sage: M=ModularSymbols(5,6,sign=1)
>
> sage: S=M.decomposition()
>
> sage: f=S[0]
>
> sage: f.eigenvalue(10)
>
> IndexError Traceback (most recent call
> last)
>
> ...
>
> IndexError: n must be a positive integer
>
> sage: f.eigenvalue(5)
>
> 25
>
> sage: f.eigenvalue(10)
>
> 50
New description:
It seems to be a problem to compute Hecke eigenvalues for Modular Symbol
subspaces at integers dividing the level N unless the eigenvalue for the
Hecke operator at N is computed first.
I have verified this problem for sage versions between 5.8 and 5.12.beta.
Example
{{{
sage: M=ModularSymbols(5,6,sign=1)
sage: S=M.decomposition()
sage: f=S[0]
sage: f.eigenvalue(10)
IndexError Traceback (most recent call
last)
...
IndexError: n must be a positive integer
sage: f.eigenvalue(5)
25
sage: f.eigenvalue(10)
50
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15201#comment:2>
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