#6812: Enumerate integer vectors modulo to the action of a Permutation Group
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       Reporter:  nborie                                          |         
Owner:  nborie                                                  
           Type:  enhancement                                     |        
Status:  needs_work                                              
       Priority:  major                                           |     
Milestone:  sage-5.1                                                
      Component:  combinatorics                                   |    
Resolution:                                                          
       Keywords:  enumeration, integer, list, permutation, group  |   Work 
issues:  long time tests, information about listing infinite sets
Report Upstream:  N/A                                             |     
Reviewers:  Karl-Dieter Crisman, Simon King                         
        Authors:  Nicolas Borie                                   |     Merged 
in:                                                          
   Dependencies:  #10334, #10335                                  |      
Stopgaps:                                                          
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Comment (by SimonKing):

 Replying to [comment:56 nborie]:
 > I will propose a new version this week end and the possible
 ameliorations will be part of separate tickets. The use of Clonable
 integer array is ok and fine because all is in Sage.

 Great! And will the Cython stuff we discussed in Paris also be part of
 that patch?

 For the record: I finally re-implemented my algorithm for the computation
 of fundamental invariants of non-modular invariant rings of finite groups
 for the special case of permutation groups, using your implementation of
 orbits. I should have done that earlier. After all, thanks to your work on
 enumerating orbits, it will probably be a lot faster than my original
 implementation in Singular (which dealt very inefficiently with orbits).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:57>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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