#5919: [with patch, needs review] bug in conversion of polys over GF(2,e) from 
NTL
to singular
---------------------+------------------------------------------------------
 Reporter:  cremona  |       Owner:  tbd                    
     Type:  defect   |      Status:  new                    
 Priority:  major    |   Milestone:  sage-3.4.2             
Component:  algebra  |    Keywords:  polynomial finite field
---------------------+------------------------------------------------------
 In 3.4.2.alpha0 we have
 {{{
 sage: F.<a> = GF(2^16)
 sage: R.<x, y> = F[]
 sage: R({(1,2):1})
 0*x*y^2
 }}}
 which Alex Ghitza tracked down to a line in libs/singular/singular.pyx and
 which I fixed by replacing one character in that line from 'i' to '0'.
 After that:
 {{{
 sage: sage: F.<a> = GF(2^16)
 sage: sage: R.<x, y> = F[]
 sage: sage: R({(1,2):1})
 x*y^2
 }}}
 and hence also
 {{{
 sage: Fx.<b>=GF(2^(4*5))
 sage: Ex=EllipticCurve(Fx,[0,0,1,1,1])
 sage: Ex.defining_polynomial()
 x^3 + y^2*z + x*z^2 + y*z^2 + z^3
 }}}
 which was not working properly (as reported to sage-devel).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5919>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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