#11239: Incorrect coercion of polynomials over finite fields
-------------------------------------------------+-------------------------
       Reporter:  johanbosman                    |         Owner:  robertwb
           Type:  defect                         |        Status:
       Priority:  major                          |  needs_info
      Component:  coercion                       |     Milestone:
       Keywords:  finite fields, polynomials,    |  sage-5.11
  coercion                                       |    Resolution:
        Authors:                                 |     Merged in:
Report Upstream:  N/A                            |     Reviewers:
         Branch:                                 |   Work issues:
       Stopgaps:                                 |  Dependencies:
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Comment (by pbruin):

 If in the example in the ticket description, one replaces
 {{{
 sage: Fqq['y'](f)
 }}}
 by
 {{{
 sage: Fqq['y']._coerce_(f)
 }}}
 one at least gets a sensible error:
 {{{
 TypeError: no canonical coercion from Univariate Polynomial Ring in x over
 Finite Field in a of size 5^2 to Univariate Polynomial Ring in y over
 Finite Field in b of size 5^4
 }}}

 I tried the same example using the compatible finite fields from #8335.
 The problem (that the coefficients are converted in the stupid way)
 persists, both for conversion and for coercion.  This is surprising,
 because in that case there ''is'' a coercion map between the finite
 fields.

--
Ticket URL: <http://trac.sagemath.org/ticket/11239#comment:6>
Sage <http://www.sagemath.org>
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