#16509: bug in .as_finite_field_element() when minimal=True
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  finite rings       |   Resolution:
       Keywords:  bug                |    Merged in:
        Authors:  Peter Bruin        |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pbruin/16509-as_finite_field_element|  
5572837f991d5ed6a1674e009de8c38e0c3bbc7c
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Peter Bruin', 'oldvalue': ''}):

 * status:  new => needs_review
 * commit:   => 5572837f991d5ed6a1674e009de8c38e0c3bbc7c
 * branch:   => u/pbruin/16509-as_finite_field_element
 * author:   => Peter Bruin


Old description:

> {{{
> sage: K = GF(5).algebraic_closure()
> sage: z=K.gen(5) - K.gen(5) + K.gen(2)
> sage: z.as_finite_field_element(minimal=True)
> Traceback (most recent call last):
> ...
> TypeError: unable to coerce
> }}}
>
> The problem comes from the fact that the finite subfields of the
> algebraic closure can not talk to each other.
>
> Note that hopefully, it works fine when `minimal=False` (which is the
> default).

New description:

 `AlgebraicClosureFiniteField.as_finite_field_element(minimal=True)` fails
 when it needs to convert between two non-trivial finite subfields:
 {{{
 sage: K = GF(5).algebraic_closure()
 sage: z=K.gen(5) - K.gen(5) + K.gen(2)
 sage: z.as_finite_field_element(minimal=True)
 Traceback (most recent call last):
 ...
 TypeError: unable to coerce
 }}}
 Note that it works fine when `minimal=False` (which is the default).

--

--
Ticket URL: <http://trac.sagemath.org/ticket/16509#comment:3>
Sage <http://www.sagemath.org>
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