#19011: Add Jones representation of braid groups and Jones polynomials of braid
closures
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       Reporter:  fuglede            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.9
      Component:  algebraic          |   Resolution:
  topology                           |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Søren Fuglede      |  Work issues:
  Jørgensen                          |       Commit:
Report Upstream:  N/A                |  722cdad1f8c0e793c409da95e0a18b03af0d22ee
         Branch:                     |     Stopgaps:
  u/fuglede/jones_rep                |
   Dependencies:                     |
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Comment (by fuglede):

 Fixed the issue in my previous comment with some refactoring to force sage
 to stay out of the field of fractions of the polynomial ring whenever
 possible. Even though this appears to require
 
[http://git.sagemath.org/sage.git/tree/src/sage/groups/braid.py?id=1b50612c99d13120a876ee95a4b79fa1008b7d45#n938
 some silly manipulations], this even resulted in a speed gain: the 2961
 knots mentioned earlier can now be checked against known data in 38
 seconds (down from 69 seconds).

 So, what's the process: should I flag as needs review?

--
Ticket URL: <http://trac.sagemath.org/ticket/19011#comment:30>
Sage <http://www.sagemath.org>
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