#12217: Finite field polynomials allow division by zero
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       Reporter:  johanbosman       |        Owner:  AlexGhitza
           Type:  defect            |       Status:  needs_work
       Priority:  major             |    Milestone:  sage-5.13
      Component:  basic arithmetic  |   Resolution:
       Keywords:                    |    Merged in:
        Authors:  Peter Bruin       |    Reviewers:  Jeroen Demeyer
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by pbruin):

 Something else that bothers me is the implementation of
 `PolynomialElement.__div__()`.  When computing `x/y`, it first tries to
 coerce `y` to the base ring and multiply the polynomial `x` by `~y`.  This
 can fail either because the coercion fails or because `y = 0`.  In both
 cases, the computation is retried, but this is useless if `y = 0`; after
 all, we will certainly get a `ZeroDivisionError` again.  New patch now
 testing.

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Ticket URL: <http://trac.sagemath.org/ticket/12217#comment:11>
Sage <http://www.sagemath.org>
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