#6812: Enumerate integer vectors modulo to the action of a Permutation Group
------------------------------------------------------------------------+---
   Reporter:  nborie                                                    |       
   Owner:  nborie                                        
       Type:  enhancement                                               |       
  Status:  needs_review                                  
   Priority:  major                                                     |      
Milestone:  sage-4.7.1                                    
  Component:  combinatorics                                             |       
Keywords:  enumeration, integer, list, permutation, group
Work_issues:  long time tests, information about listing infinite sets  |       
Upstream:  N/A                                           
   Reviewer:  Karl-Dieter Crisman, Simon King                           |       
  Author:  Nicolas Borie                                 
     Merged:                                                            |   
Dependencies:                                                
------------------------------------------------------------------------+---
Changes (by nborie):

  * status:  needs_work => needs_review


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]
>
> depends on #8288

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]

 depends on #10335

--

Comment:

 Ok, it depends on #10335

 {{{
 la pile de patchs est maintenant vide
 nicolas@lancelot:/opt/sage/devel/sage-review$ hg qpush
 application de trac_10334-permgroup_cleanup-rebase-mh.patch
 actuellement à : trac_10334-permgroup_cleanup-rebase-mh.patch
 nicolas@lancelot:/opt/sage/devel/sage-review$ hg qpush
 application de trac_10335-permgroup_domain-mh.patch
 actuellement à : trac_10335-permgroup_domain-mh.patch
 nicolas@lancelot:/opt/sage/devel/sage-review$ hg qpush
 application de trac_6812_integer_vectors_mod_permgroup.patch
 actuellement à : trac_6812_integer_vectors_mod_permgroup.patch
 nicolas@lancelot:/opt/sage/devel/sage-review$ sage -b
 ...
 nicolas@lancelot:/opt/sage/devel/sage-review$ sage -t
 sage/combinat/enumeration_mod_permgroup.pyx
 sage -t  "devel/sage-review/sage/combinat/enumeration_mod_permgroup.pyx"
          [14.3 s]

 ----------------------------------------------------------------------
 All tests passed!
 Total time for all tests: 14.3 seconds
 nicolas@lancelot:/opt/sage/devel/sage-review$ sage -t
 sage/combinat/integer_vectors_mod_permgroup.py
 sage -t  "devel/sage-
 review/sage/combinat/integer_vectors_mod_permgroup.py"
          [5.7 s]

 ----------------------------------------------------------------------
 All tests passed!
 Total time for all tests: 5.7 seconds
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:31>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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