#18836: Make refine_embedding into a method of number fields instead of 
stand-alone
-------------------------------------+-------------------------------------
       Reporter:  cremona            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.8
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  John Cremona       |    Reviewers:  Vincent Delecroix
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/cremona/18836-refine_embedding   |  ee94ab4b6da7a2bdf20b6fc50eefb2dba9190494
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 Hello,

 I followed the comment from #18333. It would actually make sense for
 elements in `QQbar` to '''always''' have their intervals being in some
 complex interval field. Since the zero is exact in interval arithmetic we
 can check if the number is real with
 {{{
 sage: a = CIF(5)
 sage: a.imag().is_zero()
 True
 }}}

 Though there is a lot of code shared between `AA` and `QQbar` and the
 change might be less trivial than it seems.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/18836#comment:11>
Sage <http://www.sagemath.org>
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