#20086: rational powers in ZZ[X] and QQ[X]
-------------------------------------+-------------------------------------
       Reporter:  cheuberg           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Clemens            |    Reviewers:  Benjamin Hackl
  Heuberger, Vincent Delecroix       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/20086       |  6f91df97a81fa094c04583314ad38cd5fd199cdb
   Dependencies:                     |     Stopgaps:
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Comment (by behackl):

 Replying to [comment:53 vdelecroix]:
 > Would be nice to have a non polynomial examples. But currently, order in
 number fields does not know whether they are principal ideal domain or
 unique factorization domain
 > {{{
 > sage: R = ZZ[I]
 > sage: R in PrincipalIdealDomains()
 > False
 > sage: R in UniqueFactorizationDomains()
 > False
 > }}}
 >

 Yes, the gaussian integers were also my first idea for such an example,
 but getting this to work should rather be a follow-up ticket.

 > In `__pow__` for integer polynomials, in the case the exponent is an
 integer you should only use `nn` and not `exp` (i.e. you should replace
 `if exp == 0` and `if exp < 0` by `if nn == 0` and `nn < 0`).

 Makes sense. Done.

--
Ticket URL: <http://trac.sagemath.org/ticket/20086#comment:55>
Sage <http://www.sagemath.org>
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