#6812: Enumerate integer vectors modulo to the action of a Permutation Group
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       Reporter:  nborie                                          |         
Owner:  nborie                                                  
           Type:  enhancement                                     |        
Status:  positive_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, Nicolas Borie          
        Authors:  Nicolas Borie, Simon King                       |     Merged 
in:                                                          
   Dependencies:                                                  |      
Stopgaps:                                                          
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Changes (by nborie):

  * status:  needs_review => positive_review
  * reviewer:  Karl-Dieter Crisman, Simon King => Karl-Dieter Crisman,
               Simon King, Nicolas Borie


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]
>  * [attachment:trac_6812_reviewer2.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-final.patch]

--

Comment:

 I am completely agree with all corrections and improvements provided by
 the two reviewer patches from Simon. I just merge them into my first
 proposition.

 The current implementation pass all my corner cases around invariant
 theory. All tests pass, the documentation seems good to me and the code
 looks ready to go. I give the patch a positive review.

 This is a three years old wanted improvement (beginning of my PhD thesis)
 and Sage changed so much these last three years.... Thanks you Simon for
 the hours you spent on finalizing this and thanks you Karl for English
 suggestions/corrections (especially those sent by mail 6 month ago...)

 apply trac_6812_integer_vectors_mod_permgroup-final.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:90>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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