#8614: Optimize creation of modular symbols spaces by speeding up quotienting 
out
by 2-term relations
-----------------------------+----------------------------------------------
   Reporter:  was            |       Owner:  craigcitro
       Type:  enhancement    |      Status:  needs_work
   Priority:  major          |   Milestone:  sage-4.6.2
  Component:  modular forms  |    Keywords:            
     Author:                 |    Upstream:  N/A       
   Reviewer:                 |      Merged:            
Work_issues:                 |  
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Changes (by AlexGhitza):

  * status:  needs_info => needs_work


Comment:

 Replying to [comment:7 davidloeffler]:
 > According to the profiler, that difference seems to be coming almost
 entirely from the optimizations to {{{binomial}}}. The much larger chunk
 of new code in {{{relation_matrix.pyx}}} code only gets called when (among
 other conditions) the base ring is the rationals; and it doesn't seem to
 make much of an impact on the speed.
 >
 > I suggest we split this into two tickets: one for the changes to
 binomial and the other miscellaneous fixes, which I would be happy to give
 a positive review to on the spot, and the other for the cythonization of
 the 2-term relations stuff, which seems a bit less clear-cut to me.

 I agree, and I had noticed the point about {{{binomial}}} myself.  It's
 late (or really early) here, but I'll try to split off the easier bits
 tomorrow.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8614#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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