The realization space is [1 1 x1 - 2 0 0 1 1 x1 - 2 0 1 1] [1 0 -x1^2 + 4*x1 - 1 1 0 1 0 -x1^2 + 4*x1 - 1 x1 - 2 x1 - 1 x1 - 1] [0 0 0 0 1 1 x1 x1^2 - 3*x1 + 2 x1 - 1 x1 - 1 x1] in the multivariate polynomial ring in 1 variable over ZZ within the vanishing set of the ideal Ideal (x1^3 - 4*x1^2 + 3*x1 - 1) avoiding the zero loci of the polynomials RingElem[x1 - 2, x1 - 1, x1 - 3, 2*x1 - 1, x1^3 - 5*x1^2 + 6*x1 - 3, 2*x1^3 - 10*x1^2 + 14*x1 - 7, 2*x1^3 - 8*x1^2 + 7*x1 - 4, x1, x1^2 - 3*x1 - 1, x1^2 - 4*x1 + 1, x1^2 - x1 - 1, x1 + 1, x1^2 - 3*x1 + 1, 2*x1^2 - 8*x1 + 5, x1^3 - 6*x1^2 + 9*x1 - 5, x1^2 - x1 + 1, x1^3 - 4*x1^2 + 2*x1 - 2]