#5355: QQbar should have a coercion from number fields with embedding
-------------------------------+-----------------------------
       Reporter:  cwitty       |        Owner:  cwitty
           Type:  enhancement  |       Status:  new
       Priority:  major        |    Milestone:  sage-wishlist
      Component:  coercion     |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by vdelecroix):

 We do have
 {{{
 sage: K.<a> = NumberField(x^3 - 7, embedding=AA(7)**(1/3))
 sage: AA.has_coerce_map_from(K)
 True
 sage: K.<a> = NumberField(x^3 - 7, embedding=QQbar(7)**(1/3) *
 QQbar.zeta(3))
 sage: QQbar.has_coerce_map_from(K)
 True
 }}}
 Isn't it enough? What should be simplified is to automatized the embedding
 into `AA`/`QQbar`. And it is more or less the purpose of #19356.

--
Ticket URL: <http://trac.sagemath.org/ticket/5355#comment:3>
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