#9285: Challenge: iterating through E8 in 5 minutes
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   Reporter:  nthiery        |       Owner:  sage-combinat         
       Type:  enhancement    |      Status:  new                   
   Priority:  major          |   Milestone:  sage-wishlist         
  Component:  combinatorics  |    Keywords:  Coxeter groups, Chevie
     Author:                 |    Upstream:  N/A                   
   Reviewer:                 |      Merged:                        
Work_issues:                 |  
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 The current code for iterating trough all elements of a Coxeter group is
 currently ridiculously slow. For E8, it should take no more than a couple
 minutes, as Franck Lubeck's reported was possible in GAP.

 There are several routes to this end, which all deserve to be explored:

  * Using GAP's code; this will require at least fixing a {{{select}}}
 issue in GAP's interface (TODO: add ticket), if not using libGAP

  * Optimizing the underlying CombinatorialFreeModule's code

  * Optimizing the generic Coxeter group code

  * Using properly Coxeter 3

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9285>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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