#20086: rational powers in ZZ[X] and QQ[X]
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       Reporter:  cheuberg           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Clemens            |    Reviewers:  Benjamin Hackl
  Heuberger, Vincent Delecroix       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  cba01eb6ebe741567cabc1e9e4a3dd0c94aa11b2
  u/vdelecroix/20086                 |     Stopgaps:
   Dependencies:                     |
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Comment (by vdelecroix):

 Though, since `num` and `den` are relatively prime it should be cheaper to
 do `self.nth_root(den) ** num` instead of `(self ** num).nth_root(den)`...
 I will think about it.

 Anyway, it would be good to see whether it works for other polynomial
 rings. For example `QQbar['x']` or when the base ring is a number field or
 a finite field...

--
Ticket URL: <http://trac.sagemath.org/ticket/20086#comment:33>
Sage <http://www.sagemath.org>
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