#11641: Implementation of a guesser of combinatoral statistics
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   Reporter:  stumpc5                  |          Owner:  sage-combinat         
                     
       Type:  enhancement              |         Status:  new                   
                     
   Priority:  major                    |      Milestone:  sage-pending          
                     
  Component:  combinatorics            |       Keywords:  combinatorial 
statistic                    
Work_issues:  make it nice and smooth  |       Upstream:  N/A                   
                     
   Reviewer:                           |         Author:  Chris Berg, Franco 
Saliola, Christian Stump
     Merged:                           |   Dependencies:                        
                     
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Description changed by stumpc5:

Old description:

> tba

New description:

 An example:

 {{{
 sage: I = [
 p,p.major_index()+2*p.number_of_inversions()-34*p.number_of_descents())
 for p in Permutations(3) ]

 sage: find_combinatorial_statistic(I)
 The tested combinatorial statistics on Standard permutations with values
 in Integer Ring where
 imajor_index
 longest_increasing_subsequence_length
 major_index
 number_of_descents
 number_of_fixed_points
 number_of_idescents
 number_of_inversions
 number_of_peaks
 number_of_saliances

 ((0, 0, 1, -34, 0, 0, 2, 0, 0), Free module of degree 9 and rank 3 over
 Integer Ring
 Echelon basis matrix:
 [ 3  0  0  0  2 -4  5  3 -6]
 [ 0  1  3  0 -1 -3 -1 -3  0]
 [ 0  0  0  1  0 -1  0  0  0])
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11641#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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