#14239: symbolic radical expression for algebraic number
-------------------------------------+-------------------------------------
       Reporter:  gagern             |        Owner:  davidloeffler
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.5
      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     |  4626286463c734f931ecc7405285dc7bc1b58772
                                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 What is the point of
 {{{
 -        Test :trac:`14895`::
 -
 -            sage: K.<sqrt2> = QuadraticField(2)
 +            sage: K.<sqrt2> = QuadraticField(2) # :trac:`14895`
 }}}

 I really do not like the attribute symbolic. Why this result needs to be
 cached? You can possibly cache '''in the parent''' a symbolic version of
 the generator.

 The fact that `SR(a)` when `a` is a number field element returns possibly
 a numerical approximation is a very bad regression. You switch from
 something exact to something approximative.

--
Ticket URL: <http://trac.sagemath.org/ticket/14239#comment:99>
Sage <http://www.sagemath.org>
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