#4701: [with patch; needs works] magma/sage interface -- coercion for single
variable polynomials broken in some cases
------------------------+---------------------------------------------------
 Reporter:  was         |        Owner:  was       
     Type:  defect      |       Status:  new       
 Priority:  major       |    Milestone:  sage-3.2.2
Component:  interfaces  |   Resolution:            
 Keywords:              |  
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Changes (by ncalexan):

  * summary:  [with patch; needs review] magma/sage interface -- coercion
              for single variable polynomials broken in some
              cases => [with patch; needs works] magma/sage
              interface -- coercion for single variable
              polynomials broken in some cases

Comment:

 There are problems.  My referee patch includes a few failing doctests.

 {{{
 sage: R = GF(3^5, 'a') # optional - magma
 sage: a = magma(R.gen()) # optional - magma
 sage: a^3 # optional - magma
 a^3
 sage: a^3 + a # optional - magma
 a^47
 sage: a.sage()
 a
 sage: a.sage().parent()
 Finite Field in a of size 3^5
 sage: a.Eltseq()
 [ 0, 1, 0, 0, 0 ]
 sage: a.Sage()
 GF(243, 'a'.replace('$.', 'x').replace('.', ''),
 modulus=GF(3)['a'.replace('$.', 'x').replace('.', '')]([ 1, 2, 0, 0, 0, 1
 ]))(GF(3)['a'.replace('$.', 'x').replace('.', '')]([ 0, 1 ]))
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4701#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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