#16540: Regression in Pari finite field interface
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       Reporter:  defeo                         |        Owner:
           Type:  defect                        |       Status:  new
       Priority:  major                         |    Milestone:  sage-6.3
      Component:  finite rings                  |   Resolution:
       Keywords:  finite_field regression pari  |    Merged in:
        Authors:                                |    Reviewers:
Report Upstream:  N/A                           |  Work issues:
         Branch:                                |       Commit:
   Dependencies:                                |     Stopgaps:
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Comment (by defeo):

 Replying to [comment:1 jdemeyer]:
 > Do you agree that the correct behaviour is a `ValueError`?

 I agree that mathematically the operation does not make sense, unless the
 modulus is equal to the order of the element (but computing it would be
 overkill in my opinion) or a multiple (the only reasonable one being
 cardinality - 1).

 Now, if we want to raise a `ValueError`, this is not a Pari issue anymore:
 it is a huge issue in basically any component of Sage!

 {{{
 sage: 3^Zmod(3)(2)
 9
 sage: GF(101)(2)^Zmod(3)(2)
 4
 sage: QQ['x'].gen()^Zmod(3)(2)
 x^2
 sage: i^Zmod(3)(2)
 -1
 sage: AbelianGroup([10])[1]^Zmod(3)(2)
 f^2
 }}}

 etc...

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Ticket URL: <http://trac.sagemath.org/ticket/16540#comment:4>
Sage <http://www.sagemath.org>
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