#18749: Groebner basis computations with the F4 algorithm
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       Reporter:  tcoladon           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.8
      Component:  packages:          |   Resolution:
  optional                           |    Merged in:
       Keywords:  F4, groebner       |    Reviewers:  Martin Albrecht,
  basis, ideal                       |  Travis Scrimshaw, Jeroen Demeyer,
        Authors:  Titouan Coladon    |  Dima Pasechnik
Report Upstream:  N/A                |  Work issues:
         Branch:  u/malb/t18749_f4   |       Commit:
   Dependencies:                     |  e388b7ef03812fb47c41737fa566ecc97ca89557
                                     |     Stopgaps:
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Comment (by zimmerma):

 a simpler example in 3 variables where {{{I.groebner_basis()}}} and
 {{{I.groebner_basis('openf4')}}} disagree:
 {{{
 Ideal (-381588408*x0^2 + 476686997*x2^2 - 462809584*x0 + 257786256*x2 -
 114361905, -165319008*x0^2 + 74443335*x0*x2 - 139862633*x2^2 -
 274498434*x0 + 48302322, -462665673*x0^2 + 458273559*x2^2 - 602419172*x0 +
 103972832*x2 - 383910315) of Multivariate Polynomial Ring in x0, x1, x2
 over Finite Field of size 1217734367
 [1]
 [x0, x2]
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/18749#comment:65>
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