I guess it would be Singular, not Pari.

On Fri, 28 Aug 2020, 22:11 Emmanuel Charpentier, <
emanuel.charpent...@gmail.com> wrote:

> Inspiration is this ask.sagemath question
> <https://ask.sagemath.org/question/53185/solve-a-system-of-polynomial-equations-getting-different-results-using-symbolic-math-toolbox-of-matlab-and-sage/>.
> Roughly, the original question was a discrepancy between the *numerical*
> results obtained by Sage and by Matlab when solving a set of three
> equations with three unknowns.
>
> I wanted to compare the numerical results with those obtained by
> rearranging the original equations into rational fractions and solving
> their numerators (while watching out for null denominators). My code so far
> is in the attached SolutionExacte.sage.
>
> What succeeds :
>
>    - Rearranging the equations in rational fractions
>    - creating the relevant polynomial ring
>    - creating the ideal J representing the set of solutions
>    - checking that its dimension is 0
>
> What fails is enumerating the solutions : S=J.variety(QQbar) hasn’t
> returned for more than eight hours (!). When throwing the towel (*i. e.
> interrupting), I got the following message in a message box of the Jupyter
> notebook :
>
> /usr/local/sage-9/local/lib/python3.7/site-packages/sage/rings/qqbar.py:2078: 
> RuntimeWarning: cypari2 leaked 2081168 bytes on the PARI stack df = factor(d)
>
> Questions :
>
>    1. Is that a known bug ?
>    2. Is that possibly a *new* bug ?
>    3. If so, how to file the most informative ticket ?
>    4. Are you aware of possible workarounds ?
>
> HTH,
> ​
>
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