The realization space is [1 1 0 2 0 1 1 0 2 4 2] [1 0 1 x1 + 1 0 1 0 1 x1 + 1 x1 + 1 x1 - 1] [0 0 0 0 1 1 1 2 2*x1 2*x1 + 2 2*x1] in the multivariate polynomial ring in 1 variable over ZZ avoiding the zero loci of the polynomials RingElem[x1 - 3, x1 + 1, x1 - 1, x1 - 2, 2, x1, 3, x1 + 2, 3*x1 - 1]