#11456: Make the Magma interface able to convert number field elements from 
Magma
to Sage
---------------------------+------------------------------------------------
   Reporter:  mstreng      |          Owner:  was                               
          
       Type:  enhancement  |         Status:  needs_review                      
          
   Priority:  major        |      Milestone:  sage-4.7.1                        
          
  Component:  interfaces   |       Keywords:  magma interface number field 
element convert
Work_issues:               |       Upstream:  N/A                               
          
   Reviewer:               |         Author:  Marco Streng                      
          
     Merged:               |   Dependencies:                                    
          
---------------------------+------------------------------------------------
Changes (by newvalueoldvalue):

  * status:  new => needs_review
  * author:  => Marco Streng


Old description:

> Apparently the Magma interface can't do this yet. See #11455 for
> examples. If I understand it correctly, this requires adding code for
> {{{FldNumElt}}} to {{{data/extcode/magma/sage/basic.m}}}.

New description:

 Apply:

  * [attachment:trac_11456_sage.patch] to the main Sage source
  * [attachment:trac_11456_extcode.patch] to data/extcode

 This adds the following conversion functionality.

 From Magma to Sage:

  * Absolute and relative number fields in one or more generators
 (previously not possible).
  * Elements of absolute and relative number fields in one generator
 (previously not possible).

 From Sage to Magma:

  * Relative number fields (previously only absolute number fields).

 Converting relative number field elements from Sage to Magma is more
 difficult (because of garbage collection) and is left for a later patch.

--

Comment:

 The file trac_11456_doctests.patch can be removed.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11456#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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