#17920: Reimplement IntegerLists using Polyhedron.integral_points()
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       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  blocker            |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/17920            |  6f3164941f2565627afc1128ace01973c788f767
   Dependencies:  #17937             |     Stopgaps:
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Comment (by jdemeyer):

 Replying to [comment:62 tscrim]:
 > I'm worried this could lead to errors being raised when trying to
 convert between different bases of the symmetric functions (which are
 indexed by partitions). IIRC the code relies on some of the (graded)
 transition matrices being upper triangular, which requires the order be
 compatible with dominance ordering.

 To be honest, I don't know what you mean mathematically. But, like I said,
 the fact that there are no strange doctest failures shows that the issue
 cannot be so serious.

 And in the cases where the order really matters, I think those places
 should simply explicitly sort or use `IntegerListsLex`. Slowing down all
 of `Paritions()` just because one or two applications require it seems
 stupid.

--
Ticket URL: <http://trac.sagemath.org/ticket/17920#comment:63>
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