Question: How to find roots of polynomials with a huge Groebner basis?

Hi everyone,

I am trying to find the roots of a system of 3 multivariate polynomials with 3 variables. I have used

G := Basis(P, tdeg(x6, x7, x8))

from the Groebner package and got a Groebner Basis with 29 elements (the length of output exceeds the limit). I want to find roots in the interval [0,1] with x<y<z. Is there a way to find solutions? Some of the polynomials in the Basis are of order 11 and I can't find a single variable polynomial in the basis. Is there an efficiet way to find such roots? Or should I do someting completely different?



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