#10600: fix bug in eliminate_linear_variables() + return reductors used
-------------------------------+--------------------------------------------
   Reporter:  malb             |       Owner:  mvngu     
       Type:  defect           |      Status:  new       
   Priority:  major            |   Milestone:  sage-4.6.2
  Component:  cryptography     |    Keywords:            
     Author:  Martin Albrecht  |    Upstream:  N/A       
   Reviewer:                   |      Merged:            
Work_issues:                   |  
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 This shouldn't return an empty list:

 {{{
 #!python
 sage: B.<a,b,c,d> = BooleanPolynomialRing()
 sage: l = [a + b + d, a + b + c]
 sage: F = mq.MPolynomialSystem(l)
 sage: F.eliminate_linear_variables()
 Polynomial System with 0 Polynomials in 0 Variables
 }}}

 Also, it'd be nice to get the list of polynomials used for elimination as
 well.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10600>
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