#7580: bugs in infinite polynomial ring
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   Reporter:  was                                                               
          |       Owner:  SimonKing                        
       Type:  defect                                                            
          |      Status:  needs_work                       
   Priority:  major                                                             
          |   Milestone:  sage-4.3                         
  Component:  algebra                                                           
          |    Keywords:  infinite polynomial ring coercion
Work_issues:  Doctests for 32 bit; work around bug in multipolynomial 
conversion (#7654)  |      Author:  Simon King                       
   Upstream:  N/A                                                               
          |    Reviewer:                                   
     Merged:                                                                    
          |  
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Changes (by SimonKing):

  * work_issues:  => Doctests for 32 bit; work around bug in
                  multipolynomial conversion (#7654)


Comment:

 By doing some more random tests, I revealed another bug in the computation
 of symmetric Gröbner bases.

 Try
 {{{
 sage: X.<y,z> = InfinitePolynomialRing(GF(3),implementation='sparse')
 sage: I = ['-y_9*z_8^2 + y_8*y_3*z_3 + y_5*z_8*z_2']*X
 sage: I.groebner_basis(report=True)
 }}}

 In the report, you will soon get the impression that there is a loop.
 Indeed there is, but that's easy enough to fix.

 However, after fixing it, I was running into the bug in polynomial
 conversion in libsingular that I reported at #7654.

 Currently I try to find a work around. As a last resort, it might again be
 conversion from strings...

 I am collecting these in the "work issues" field.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7580#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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