#14239: symbolic radical expression for algebraic number
-------------------------------------+-------------------------------------
       Reporter:  gagern             |        Owner:  davidloeffler
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Martin von Gagern  |    Reviewers:  Marc Mezzarobba,
Report Upstream:  N/A                |  Jeroen Demeyer
         Branch:                     |  Work issues:
  u/gagern/ticket/14239              |       Commit:
   Dependencies:                     |  8ff313d2ea936471a4dda3989f9da440e8afe6b2
                                     |     Stopgaps:
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Changes (by gagern):

 * status:  needs_work => needs_review


Comment:

 
[http://git.sagemath.org/sage.git/commit/?id=a12a1184b08e1dd8e7ec54d614ed86dfb1f7ba8f
 a12a118] does the interval-only approach you requested in comment:43,
 without increasing the accuracy of `self`. We should end up with a single
 overlap nonetheless.

 
[http://git.sagemath.org/sage.git/commit/?id=43d19da22959d9815d5474832471f0bf8f348200
 43d19da] removes the duplicate functionality, calling from number field
 element to qqbar. The casting of the generator image required a bit more
 code than anticipated, but still feels like the correct approach to me. As
 a benefit, we get exact algebraic numbers instead of floating point
 approximations if there is no radical expression for a given number field
 element generator, as seen in the doctests.

--
Ticket URL: <http://trac.sagemath.org/ticket/14239#comment:48>
Sage <http://www.sagemath.org>
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