#6296: linbox minpoly over small finite fields is TOTALLY BROKEN
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 Reporter:  was             |       Owner:  was       
     Type:  defect          |      Status:  new       
 Priority:  critical        |   Milestone:  sage-4.0.2
Component:  linear algebra  |    Keywords:            
 Reviewer:                  |      Author:            
   Merged:                  |  
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 {{{


 On Wed, Jun 10, 2009 at 6:03 PM, Yann<[email protected]> wrote:
 >
 > ----------------------------------------------------------------------
 > | Sage Version 4.0.1, Release Date: 2009-06-06                       |
 > | Type notebook() for the GUI, and license() for information.        |
 > ----------------------------------------------------------------------
 > sage: A=matrix(GF(3),2,[0,0,1,2])
 > sage: R.<x>=GF(3)[]
 > sage: D={ x:0 , x+1:0 , x^2+x:0 }
 > sage: for i in range(100000):
 > ....:         D[A._minpoly_linbox()]+=1
 > ....:
 > sage: D
 > {x: 38266, x + 1: 29397, x^2 + x: 32337}
 >


 You're absolutely right!  This *sucks* -- it seems like nothing we have
 ever wrapped in Linbox is right at first.  Hopefully the issue is that
 somehow the algorithm is only supposed to be probabilistic, and we're just
 misusing it in sage (quite possible).
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6296>
Sage <http://sagemath.org/>
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