The realization space is [1 1 0 0 1 1 0 x1 + 1 x1^2 - 1 x1^2 - 1] [1 0 1 1 x1 + 1 x1 0 x1 + 1 0 x1^3 - x1] [1 0 1 0 1 0 1 1 x1 x1] in the multivariate polynomial ring in 1 variable over ZZ within the vanishing set of the ideal Ideal (-x1^13 + x1^12 + 5*x1^11 - 3*x1^10 - 9*x1^9 + 2*x1^8 + 6*x1^7 - x1^5) avoiding the zero loci of the polynomials RingElem[x1, x1^2 - x1 - 1, x1 - 1, x1 - 2, x1^2 - 2, x1 + 1]