#12043: Hecke series for overconvergent modular forms
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Reporter: lauder | Owner: craigcitro
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-5.0
Component: modular forms | Keywords:
Work_issues: | Upstream: N/A
Reviewer: David Loeffler | Author: Alan Lauder
Merged: | Dependencies:
Stopgaps: |
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Comment(by lauder):
Dear David
Many thanks for looking into this!
By the way: I am in Japan for the next five weeks, with very slow internet
access and a keyboard that keeps switching to Japanese (then I have to
start all over again). So it has taken about an hour to get this far ...
That timing is about the same as magma now. It is great you spotted that!
I did try a larger example: p = 59, N = 1, k = 2 and m = 5. Here magma was
about 7 seconds and sage 28. So I think there is probably still a big
difference, even in level 1. (Magma code is on my website, in case you
have access to magma and want to try it.)
Incidentally: you are of course quite right that the end of the Miller
basis gives the complementary spaces, but the start has nothing
particularly to do with the image ... Please correct the blurb
appropriately. (See my silly comment in the patch.)
I am going to finish now, before the keyboard goes funny and I have to
start again.
Best wishes
Alan.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12043#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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