#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:           |      Author:  Simon King                       
   Upstream:  N/A      |    Reviewer:                                   
     Merged:           |  
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Comment(by SimonKing):

 In the patch 7580_follow_up.patch, which is to be applied after the first
 patch, I do the following:

  1. Replace the expected 32-bit hash value by the one that William
 provided
  2. Fix one bug in groebner_basis() -- I just found it by creating some
 random ideals and computing the symmetric Gröbner basis. The problem was
 that at some point it was not properly tested whether an element is a
 unit. By consequence, the 0-ideal instead of the 1-ideal was returned.
  3. Add this previously failing example as another doc test.

 I keep it "needs work", until I get some advice what to do with the
 inconsistent polynomial conversion. Perhaps one could just check that
 {{{InfinitePolynomial(X,alpha_2) != alpha_2}}}? This would be the case on
 both sage.math and your 32-bit Ubuntu. Acceptable solution?

 Cheers,

 Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7580#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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