Hi!

I got some answer from the Singular team.

> So, they do not claim that slimgb works over the integers.

Indeed, slimgb apparently is designed for coefficients that form a
field. Therefore, calling slimgb on an integer example will, in
future, result in an error message.

To wrap it up:
   I.groebner_basis()
does yield the correct answer (internally, the right algorithm is
chosen automatically).

If you want to choose one particular algorithm, do
  I.groebner_basis(algorithm='libsingular:std')
or
  I.groebner_basis(algorithm='singular:std')

It would be a mistake to do
  I.groebner_basis(algorithm='libsingular:slimgb')
since slimgb isn't made for this case.

Cheers,
Simon

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