#13041: Conversion of number field elements to algebraic numbers
-------------------------------------+-------------------------------------
       Reporter:  rbeezer            |        Owner:  AlexGhitza
           Type:  defect             |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.4
      Component:  algebra            |   Resolution:
       Keywords:  sd40.5             |    Merged in:
        Authors:  Marc Mezzarobba    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mmezzarobba/NFtoQQbar            |  526e66c778c58e34086efd6ad5871ea84186520d
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by mmezzarobba:

Old description:

> {{{
> sage: C.<z> = CyclotomicField(7)
> sage: a = 2*z^2 + 5*z^4
> sage: E = C.algebraic_closure()
> sage: E(a)
> ---------------------------------------------------------------------------
> TypeError                                 Traceback (most recent call
> last)
> <snip>
> TypeError: Illegal initializer for algebraic number
> }}}

New description:

 Implement a basic (but better than nothing) conversion of elements of
 number fields embedded into the complex numbers to elements of `QQbar`.

 Origininal report:

 {{{
 sage: C.<z> = CyclotomicField(7)
 sage: a = 2*z^2 + 5*z^4
 sage: E = C.algebraic_closure()
 sage: E(a)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <snip>
 TypeError: Illegal initializer for algebraic number
 }}}

--

--
Ticket URL: <http://trac.sagemath.org/ticket/13041#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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