Uh, I don't know what you are complaining about
the GAP to Mathematica could widen?

I work heavily on exactly that goal!!!
- increasing the distance to their Gröbner bases implementations ;-).

I would make myself ridiculous, if I would do benchmarks against it.

Just for conformity, I enter the range of people claiming, that SAGE
will fail:
SAGE will fail, *if* we are not confident in our invidual strengths.

Michael
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