#18669: Use PARI to compute rational_diagonal_form()
-------------------------------------+-------------------------------------
       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  quadratic forms    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/use_pari_to_compute_rational_diagonal_form__|  
3ee588dd37871a4a28e7db768e66ab4a44dacd3e
   Dependencies:  #18656             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by jdemeyer):

 The rational diagonal form is far from unique, so there is no
 contradiction.

 The quadratic form corresponding to
 {{{
 [ 1/2    0]
 [   0 -1/2]
 }}}
 is
 {{{
 Quadratic form in 2 variables over Rational Field with coefficients:
 [ 1/4 0 ]
 [ * 1/4 ]
 }}}
 which is equivalent to the old result (just rescale the first vector by a
 factor 2).

--
Ticket URL: <http://trac.sagemath.org/ticket/18669#comment:6>
Sage <http://www.sagemath.org>
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