#9749: huge performance regression in computing with level one modular forms
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Reporter: was | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone:
Component: modular forms | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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I was working on the Ribet-Stein book, and a computation that is trivial
in Magma, and must have been trivial in Sage until recently is now
impossibly hard.
{{{
sage: M = ModularForms(1,512)
sage: time M.hecke_matrix(5)
[[takes a very, very long time indeed.]]
}}}
This is very sad, since M has dimension only 43. Also, it is easy to get
the answer directly --from start to finish in less than a second! -- as
follows:
{{{
sage: time B = victor_miller_basis(512,5*43+1)
CPU times: user 0.21 s, sys: 0.00 s, total: 0.21 s
Wall time: 0.21 s
sage: time t5 = hecke_operator_on_basis(B, 5, 512)
CPU times: user 0.61 s, sys: 0.00 s, total: 0.61 s
Wall time: 0.61 s
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9749>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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