#17088: PeriodicRegion.__div__: use integer arithmetic
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       Reporter:  jdemeyer           |        Owner:
           Type:  defect             |       Status:  new
       Priority:  critical           |    Milestone:  sage-6.4
      Component:  elliptic curves    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/17088            |  15b7588e82c7d67bbbab14fec4c14c862bcc4c1f
   Dependencies:                     |     Stopgaps:
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Comment (by cremona):

 OK, I am looking at the code.  Note that this was implemented by Robert
 Bradshaw based on (a small) part of a thesis by a student of mine
 (published at
 http://www.ams.org/journals/mcom/2010-79-272/S0025-5718-10-02352-5/).  I
 worked hard to get RB's code into acceptable shape as regards doctests
 etc.  The application for this is in finding a lower bound for the
 canonical height of non-torsion points on elliptic curves over number
 fields, and this particular bit of code is dealing with the worst case, a
 complex embedding, with period parallelograms being recursively divided
 into sub-parallelogams to solve a minimization problem.  It is by far the
 nastiest part of the code.

 At the moment I cannot see how the new code manages to do in one line what
 the old code took 4 lines to do, but Jeroen is very clever so I will look
 again.

--
Ticket URL: <http://trac.sagemath.org/ticket/17088#comment:7>
Sage <http://www.sagemath.org>
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