#14239: symbolic radical expression for algebraic number
-------------------------------------+-------------------------------------
       Reporter:  gagern             |        Owner:  davidloeffler
           Type:  enhancement        |       Status:  needs_work
       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:  #17495, #16964     |  df036339e25fcac24a3497b0cd74f4bf34d5816c
                                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by gagern):

 * commit:  24b00c640ccc096afa24da92e29cf2c1372628e2 =>
     df036339e25fcac24a3497b0cd74f4bf34d5816c


Comment:

 I merged the dependencies into this, to facilitate testing of the changes
 here and to ensure this doesn't accidentially get merged without its
 dependencies. I also implemented the fallback discussed in comment:67.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=f30d693c593fcf8de8500c6821f2beff4c56c3a4
 f30d693]||{{{Only consider real embeddings if old embedding is into real
 lazy field.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=cbe823a5dc0f0d31ada9afbf4003c386d964e221
 cbe823a]||{{{When determining embeddings, leave coefficients
 rational.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=e689bc4c76809eea56d8aa2602f6e9fde32873b2
 e689bc4]||{{{Merge branch 'ticket/17495' into ticket/14239}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=2c4ac1be555a9c81dee84acfc7d7c2cb2602db22
 2c4ac1b]||{{{Faster qqbar comparison for case with equal minpoly.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=bfa2338f17a011806866608d6a5afac392cf1404
 bfa2338]||{{{Merge branch 'ticket/16964' into ticket/14239}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=df036339e25fcac24a3497b0cd74f4bf34d5816c
 df03633]||{{{Fall back to convertig generator to symbolic.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/14239#comment:69>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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