#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:                 |         Author:  lauder    
     Merged:                 |   Dependencies:            
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Changes (by lauder):

 * cc: was, ljpk (removed)


Comment:

 Dear David

 I have applied your patch (with Sebastian's help) and then made my
 changes. I created a new patch myself: hopefully I did the right thing. In
 any case, I will email you my new source code directly (just in case I
 messed up).

 Note that your new version failed on a few tests on my machine: there was
 a stray "print" statement you must have put in sometime; also, it
 complained about some alteration you made to the little function for
 testing if a weight list was valid. I did not understand what was
 happening with the latter, so I have not touched this: when I tested my
 new version it passed everything OK except that weight list one.

 I tried to address all of your smaller concerns. The only substantial
 change was that I altered the random_new_basis_modp function so that it
 does not waste time changing between matrices and lists: this also
 involved a small change to the complementary_spaces_modp function.

 I meant to check why the new version was slower for large p, but forgot.
 Perhaps you could have a look at whether using eisenstein series over Q is
 slowing down the computation of E_(p-1) for, say, p = 79, N = 1, k = 2 and
 m = 3.

 Anyway, many thanks again for all the improvements you made to the code!

 Best wishes

 Alan.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12043#comment:11>
Sage <http://www.sagemath.org>
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