#6812: Enumerate integer vectors modulo to the action of a Permutation Group
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       Reporter:  nborie                                          |         
Owner:  nborie                                                  
           Type:  enhancement                                     |        
Status:  needs_review                                            
       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, Simon King                       |     Merged 
in:                                                          
   Dependencies:                                                  |      
Stopgaps:                                                          
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Old description:

> The goal of this ticket is to enumerate integer vectors up to the action
> of a Permutation Group.
>
> This will produced a Parent : infinite enumerated set whose element are
> integer vectors (as list of integer)
>
> __Apply__
>
>  * [attachment:trac_6812_integer_vectors_mod_permgroup.patch]
>  * [attachment:trac_6812_reviewer.patch]

New description:

 The goal of this ticket is to enumerate integer vectors up to the action
 of a Permutation Group.

 This will produced a Parent : infinite enumerated set whose element are
 integer vectors (as list of integer)

 __Apply__

  * [attachment:trac_6812_integer_vectors_mod_permgroup.patch]
  * [attachment:trac_6812_reviewer.patch]
  * [attachment:trac_6812_reviewer2.patch]

--

Comment (by SimonKing):

 I posted an additional reviewer patch. Namely, in my first patch, I forgot
 to add a doctest (shame on me), and consequently the code contained a bug:
 Integer vectores [1,2,3,1] and [1,2,3] would have compared equal. That'
 fixed and tested with the second reviewer patch.

 For the record: I give a positive review to Nicolas' patch. My first
 reviewer patch needs review, I believe. The second patch is trivial enough
 to be considered a "real" reviewer patch.

 Apply trac_6812_integer_vectors_mod_permgroup.patch
 trac_6812_reviewer.patch trac_6812_reviewer2.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:88>
Sage <http://www.sagemath.org>
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