#15061: PARI and Singular can't handle all polynomial resultants
-------------------------------------+-------------------------------------
       Reporter:  robharron          |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  algebra            |   Resolution:
       Keywords:  pari, resultant,   |    Merged in:
  sylvester matrix                   |    Reviewers:
        Authors:  Robert Harron,     |  Work issues:
  Peter Bruin                        |       Commit:
Report Upstream:  N/A                |  d1a25de7d398d83dd7aee240b84665648483e279
         Branch:                     |     Stopgaps:
  u/pbruin/15061-resultant           |
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Robert Harron, Peter Bruin', 'oldvalue': ''}):

 * status:  needs_info => needs_review
 * author:   => Robert Harron, Peter Bruin
 * cc: pbruin (removed)
 * branch:   => u/pbruin/15061-resultant
 * commit:   => d1a25de7d398d83dd7aee240b84665648483e279


Comment:

 I think I have found a solution that will solve most of these problems.
 In this branch:
 - Rob Harron's patch, with minor modifications.
 - Remove `lcm()` and `resultant()` from `Polynomial_singular_repr`.  For
 `lcm()`, delete the code and move the doctests to the existing
 `MPolynomial_libsingular.lcm()`; for `resultant()`, move the code and
 doctests to the new `MPolynomial_polydict.resultant()`.
 - In `MPolynomial_polydict.resultant()`, fall back on Sylvester matrices
 if the ring has no Singular implementation.
 - Various cosmetic fixes.

--
Ticket URL: <http://trac.sagemath.org/ticket/15061#comment:12>
Sage <http://www.sagemath.org>
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