Opened 2 years ago
Closed 18 months ago
#15201 closed defect (fixed)
Problem with Hecke eigenvalues with the same index as the level
Reported by: | fstromberg | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-6.2 |
Component: | modular forms | Keywords: | |
Cc: | Merged in: | ||
Authors: | Alex Ghitza | Reviewers: | Peter Bruin |
Report Upstream: | N/A | Work issues: | |
Branch: | 56341a3 (Commits) | Commit: | 56341a3580c8f63a7e5b32e34325e23b021efc99 |
Dependencies: | Stopgaps: |
Description (last modified by AlexGhitza)
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
Change History (7)
comment:1 Changed 21 months ago by vbraun_spam
- Milestone changed from sage-6.1 to sage-6.2
comment:2 Changed 18 months ago by AlexGhitza
- Description modified (diff)
comment:3 Changed 18 months ago by AlexGhitza
comment:4 Changed 18 months ago by AlexGhitza
- Branch set to u/AlexGhitza/ticket/15201
- Created changed from 09/15/13 17:00:39 to 09/15/13 17:00:39
- Modified changed from 04/24/14 07:02:50 to 04/24/14 07:02:50
comment:5 Changed 18 months ago by AlexGhitza
- Commit set to 56341a3580c8f63a7e5b32e34325e23b021efc99
- Status changed from new to needs_review
New commits:
56341a3 | fix Hecke eigenvalues recurrence |
comment:6 Changed 18 months ago by pbruin
- Component changed from number theory to modular forms
- Reviewers set to Peter Bruin
- Status changed from needs_review to positive_review
comment:7 Changed 18 months ago by vbraun
- Branch changed from u/AlexGhitza/ticket/15201 to 56341a3580c8f63a7e5b32e34325e23b021efc99
- Resolution set to fixed
- Status changed from positive_review to closed
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The code used the recursive formula for the Hecke eigenvalues of p-power index without implementing the base case. This is fixed in the attached branch.