#19821: Increase speed for Coxeter groups, Weyl groups, and quantum Bruhat graph
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       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:  quantum bruhat     |    Merged in:
  graph                              |    Reviewers:
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  bea6b3c96b42255a8f9459b344c625fe22c337d7
  public/combinat/speedup_coxeter_weyl_matrix_groups-19821|     Stopgaps:
   Dependencies:  #19870             |
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Comment (by tscrim):

 I fixed a trivial failing doctest and implemented a custom `is_one()`,
 which is much faster (~30 microseconds to a little over 1) with the
 changes to the matrices (in particular, avoiding the coercion calls).

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Ticket URL: <http://trac.sagemath.org/ticket/19821#comment:31>
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