#17425: Rational isometry test for quadratic forms over number fields
-------------------------------------+-------------------------------------
       Reporter:  annahaensch        |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  quadratic forms    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Anna Haensch       |    Reviewers:  Vincent Delecroix
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/annahaensch/ticket/17425         |  8972c8097f74e9bd8e393a839b7ff9e250476af7
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 With the current code there is something wrong going on. If the dimensions
 are different then `Rat_Isom_flag` is set to `False`. This is fine. But
 then it will try to multiply the Gram determinant (for nothing since we
 already knew that they were not equivalent).

 Similarly, in this loop
 {{{
     for p in L:
         if self.hasse_invariant(p) != other.hasse_invariant(p):
             Rat_Isom_flag = False
 }}}
 if you found out that something is wrong during the first pass you will
 have to wait!

 This is why I suggested to modify the code to
 {{{
 if bad behavior 1:
     return False
 if bad behavior 2:
     return False
 for i in some test case:
     if bad behavior 3:
         return False
 return True
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/17425#comment:9>
Sage <http://www.sagemath.org>
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