#19391: Move invariant_generators to libsingular
-------------------------------------+-------------------------------------
       Reporter:  mmarco             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  group theory       |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Miguel Marco       |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mmarco/invariants                |  6a025ba30f71b0fa6da03d526ab0879a4df6d355
   Dependencies:                     |     Stopgaps:
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Comment (by mmarco):

 Ok, now it computes the reynolds operator before passing it to singular.

 I am now working on the modular case. I having trouble getting the output
 of invariant_ring from libsingular. The singular command is supposed to
 return three matrices, but calling it through libsingular only gets the
 first one:

 {{{
 sage: from sage.libs.singular.function import singular_function
 sage: import sage.libs.singular.function_factory
 sage: sage.libs.singular.function_factory.lib('finvar.lib')
 sage: inring = singular_function('invariant_ring')
 sage: F=FiniteField(2)
 sage: R.<x,y> = F[]
 sage: m1 = matrix(R, 2, [0,1,1,0])
 sage: inring(m1)
 [x + y   x*y]
 }}}

 Any clue about how to get around this?

--
Ticket URL: <http://trac.sagemath.org/ticket/19391#comment:6>
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