#10546: implement a custom cusps() method for principal congruence subgroups
Gamma(N)
-----------------------------+----------------------------------------------
   Reporter:  rje            |          Owner:  John Cremona                    
                                    
       Type:  enhancement    |         Status:  needs_review                    
                                    
   Priority:  minor          |      Milestone:  sage-4.7.1                      
                                    
  Component:  modular forms  |       Keywords:  inequivalent cusps, principal 
congruence subgroup, Gamma(n), cusps()
Work_issues:                 |       Upstream:  N/A                             
                                    
   Reviewer:                 |         Author:  Ron Evans, David Loeffler       
                                    
     Merged:                 |   Dependencies:  #10335, #11422, #11598, #5048, 
#10453, #11601                       
-----------------------------+----------------------------------------------
Changes (by newvalueoldvalue):

  * status:  new => needs_review
  * dependencies:  => #10335, #11422, #11598, #5048, #10453, #11601
  * author:  rje => Ron Evans, David Loeffler


Comment:

 I made a patch based on the code by rje (Ron Evans, I presume?) above.

 It implements {{{cusps}}}, and also {{{are_equivalent}}} and
 {{{reduce_cusp}}}. The cusps code is more or less identical to Ron's code
 but marginally faster; it also sorts its output, and returns infinity
 rather than {{{ 1/N }}} in line with Sage's conventions for the definition
 of "reduced".

 I built this on top of #11601, so it now depends on that and its
 prerequisites (the series of patches which goes #10335 - #11422 - #11598 -
 #5048 - #10453 - #11601). I'm hoping these will get positively reviewed
 soon (the first three already have been), but if not it would be easy to
 recreate the patch without the dependency on #11601.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10546#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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