#19075: Speedup creation of Kleber tree
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   Reporter:  tscrim     |            Owner:  sage-combinat
       Type:             |           Status:  new
  enhancement            |        Milestone:  sage-6.9
   Priority:  major      |         Keywords:  rigged configurations, kleber
  Component:             |  tree
  combinatorics          |          Authors:  Travis Scrimshaw
  Merged in:             |  Report Upstream:  N/A
  Reviewers:             |           Branch:
Work issues:             |     Dependencies:
     Commit:             |
   Stopgaps:             |
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 Currently, generating the first level of the Kleber tree grows poorly as
 the rank and the complexity of the root system increases. This is due to
 the fact that it uses all positive roots. Instead we use integral points
 (when expressed as simple roots) in the intersection of the negative root
 cone and a shifted positive weight cone.

 Also due to the number of operations involved, this ticket changes all
 lower levels to use the polytope enumeration as well.

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Ticket URL: <http://trac.sagemath.org/ticket/19075>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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