#8614: Optimize creation of modular symbols spaces by speeding up quotienting 
out
by 2-term relations
---------------------------------------------------------+------------------
   Reporter:  was                                        |       Owner:  
craigcitro     
       Type:  enhancement                                |      Status:  
positive_review
   Priority:  major                                      |   Milestone:  
sage-4.7       
  Component:  modular forms                              |    Keywords:         
        
     Author:  William Stein                              |    Upstream:  N/A    
        
   Reviewer:  Alex Ghitsa, David Loeffler, John Cremona  |      Merged:         
        
Work_issues:                                             |  
---------------------------------------------------------+------------------
Changes (by newvalueoldvalue):

  * status:  needs_review => positive_review
  * reviewer:  => Alex Ghitsa, David Loeffler, John Cremona
  * author:  => William Stein


Comment:

 Replying to [comment:11 cremona]:
 > The patch looks good to me (applied to 4.7.alpha2) and I am testing now,
 by testing whether ModularSymbols(N) and CremonaModularSymbols(N) have the
 same dimension for N up to {{{10^4}}}.  And some more.

 {{{
 sage: time a=[CremonaModularSymbols(N).dimension() for N in [1000..2000]]
 CPU times: user 31.12 s, sys: 0.52 s, total: 31.64 s
 Wall time: 31.68 s
 sage: time b=[ModularSymbols(N).dimension() for N in [1000..2000]]
 CPU times: user 636.90 s, sys: 0.14 s, total: 637.04 s
 Wall time: 637.91 s
 sage: a==b
 True
 }}}

 This is enough to convince me that the implementation is ok.  I tested the
 complete library too.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8614#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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