#12280: Incorrect saturation of integer matrix
------------------------------+---------------------------------------------
   Reporter:  vbraun          |          Owner:  jason, was
       Type:  defect          |         Status:  new       
   Priority:  major           |      Milestone:  sage-4.8  
  Component:  linear algebra  |       Keywords:  saturation
Work_issues:                  |       Upstream:  N/A       
   Reviewer:                  |         Author:            
     Merged:                  |   Dependencies:            
------------------------------+---------------------------------------------
Changes (by vbraun):

  * keywords:  IML kernel 76 => saturation
  * upstream:  Not yet reported upstream; Will do shortly. => N/A


Comment:

 I was off-track; IML computes the correct kernel but Sage then returns its
 saturation. It turns out that computing the saturation introduces the
 extra null vectors
 {{{
 sage: K = M._rational_kernel_iml().transpose();  K
 70 x 76 dense matrix over Integer Ring (type 'print K.str()' to see all of
 the entries)
 sage: K.saturation()
 76 x 76 dense matrix over Integer Ring
 sage: K.saturation().row(71).is_zero()
 True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12280#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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