#18824: Add MultiPolynomialIdeal.groebner_basis("libgiac")
-------------------------------------+-------------------------------------
       Reporter:  malb               |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  interfaces:        |   Resolution:
  optional                           |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/giacpyGB    |  5603124d85096ba10d0f8dd525105b3b697961af
   Dependencies:  #18841             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by frederichan):

 On a 2012 (2core i5-2435M CPU @ 2.40GHz) notebook with 4Go of RAM:

 {{{
 sage: A9=PolynomialRing(QQ,9,'x') # optional - giacpy
 sage: I9=sage.rings.ideal.Katsura(A9) # optional - giacpy
 sage: time I9.groebner_basis("giac",proba_epsilon=1e-7) # optional -
 giacpy
 // Giac share root-
 directory:/home/fred/dev/sage/develop/sage.run/local/share/giac/
 // Unable to find keyword file
 /home/fred/dev/sage/develop/sage.run/local/share/giac/doc/fr/keywords
 // Giac share root-
 directory:/home/fred/dev/sage/develop/sage.run/local/share/giac/
 Help file
 /home/fred/dev/sage/develop/sage.run/local/share/giac/doc/fr/aide_cas not
 found
 Added 0 synonyms
 Running a probabilistic check for the reconstructed Groebner basis. If
 successfull, error probability is less than 1e-07 and is estimated to be
 less than 10^-133. Use proba_epsilon:=0 to certify (this takes more time).
 CPU times: user 3.29 s, sys: 19.9 ms, total: 3.31 s
 Wall time: 3.23 s
 Polynomial Sequence with 143 Polynomials in 9 Variables
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18824#comment:34>
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