#20086: rational powers in ZZ[X] and QQ[X]
-------------------------------------+-------------------------------------
       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:                     |  6bf385b18875572eeb4ab748eb8f25124bce6acf
  u/behackl/polynomial/rational-     |     Stopgaps:
  powers                             |
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 With
 {{{
 if u.parent() != u.base_ring():
     u = u.base_ring(u)

 try:
     ans = u.nth_root(n)
 except AttributeError:
     raise NotImplementedError(...)
 }}}
 You have a risk of infinite recursion. You should use `nth_root` of `u`
 only if `u.parent()` is not `self.parent()` anymore.

--
Ticket URL: <http://trac.sagemath.org/ticket/20086#comment:47>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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