#20561: Return cycle type of a permutation
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       Reporter:  andrew.mathas      |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  group theory       |   Resolution:
       Keywords:  permutation,       |    Merged in:
  cycle type                         |    Reviewers:
        Authors:  Andrew Mathas      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  b9acb7729e678ee46ef6db66a694c3040db830d0
  u/andrew.mathas/return_cycle_type_of_a_permutation|     Stopgaps:
   Dependencies:                     |
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Comment (by tscrim):

 Considering that Sage's permutations return a `Partition`, I think this
 should also return a `Partition` for consistency. If that extra overhead
 of constructing a `Partition` is that great, then the act of sorting
 should be a significant burden as well (which is `O(n log n)` as opposed
 to `O(n)`).

 You can also get ~10% speedup by using `_Partitions(data)` instead of
 `Partition(data)`.

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Ticket URL: <http://trac.sagemath.org/ticket/20561#comment:8>
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