#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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