#15053: Number fields think they can embed into finite fields
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       Reporter:  robharron                |        Owner:
           Type:  defect                   |       Status:  positive_review
       Priority:  major                    |    Milestone:  sage-5.12
      Component:  number fields            |   Resolution:
       Keywords:  NumberField, embeddings  |    Merged in:
        Authors:                           |    Reviewers:  John Cremona
Report Upstream:  N/A                      |  Work issues:
         Branch:                           |       Commit:
   Dependencies:                           |     Stopgaps:
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Changes (by cremona):

 * status:  needs_review => positive_review
 * reviewer:   => John Cremona


Comment:

 This looks good to me.  I suppose the underlying problem is that Sage is
 happy to coerce K.defining_polynomial() into the polynomial ring over the
 finite field.

 Applies fine to 5.12.beta1 and tests pass.

--
Ticket URL: <http://trac.sagemath.org/ticket/15053#comment:2>
Sage <http://www.sagemath.org>
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