#13633: Bug in cuspidal/eisenstein decomposition of modular symbols mod p
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Reporter: robharron | Owner:
davidloeffler
Type: defect | Status: new
Priority: major | Milestone:
sage-5.5
Component: modular forms | Resolution:
Keywords: modular symbols, mod p, eisenstein | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by was):
Replying to [comment:3 robharron]:
> Ah, I see. I'm using version 5.2 released near the end of July. I had
wanted to wait until upgrading (to 5.4) before posting this bug, but then
I didn't see anything merged in 5.3 that seemed at all related to it.
Thanks.
This input works fine for me with Sage-5.2 on 64-bit OS X. Do you have
the problem from a fresh start? Please post a complete session log,
starting with typing "sage" at the terminal, e.g.,
{{{
blastoff:~ wstein$ uname -a
Darwin blastoff.local 11.4.2 Darwin Kernel Version 11.4.2: Thu Aug 23
16:25:48 PDT 2012; root:xnu-1699.32.7~1/RELEASE_X86_64 x86_64
blastoff:~ wstein$ sage
----------------------------------------------------------------------
| Sage Version 5.2, Release Date: 2012-07-25 |
| Type "notebook()" for the browser-based notebook interface. |
| Type "help()" for help. |
----------------------------------------------------------------------
sage: ModularSymbols(Gamma0(46 * 47), 2, 1, GF(47)).eisenstein_subspace()
Modular Symbols subspace of dimension 7 of Modular Symbols space of
dimension 292 for Gamma_0(2162) of weight 2 with sign 1 over Finite Field
of size 47
sage: ModularSymbols(Gamma0(46 * 47), 2, 1,
GF(47)).cuspidal_subspace().hecke_polynomial(47)
x^285 + x^284 + 41*x^283 + 41*x^282 + 42*x^281 + 42*x^280 + 20*x^279 +
20*x^278 + 38*x^277 + 38*x^276 + 18*x^275 + 18*x^274 + 23*x^273 + 23*x^272
+ 22*x^271 + 22*x^270 + 31*x^269 + 31*x^268 + 19*x^267 + 19*x^266 +
2*x^265 + 2*x^264 + 43*x^2 ...
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13633#comment:4>
Sage <http://www.sagemath.org>
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