The realization space is [1 0 1 x1 - 1 0 1 0 x1 - 2 x1^2 - 3*x1 + 2 x1 - 1 x1 - 1] [0 1 1 x1 0 0 1 x1 - 2 x1^2 - 2*x1 -x1^2 + 2*x1 -x1^2 + 2*x1] [0 0 0 0 1 1 -1 -x1 + 1 -x1 + 1 x1 - 1 x1^2 - x1] in the multivariate polynomial ring in 1 variable over ZZ within the vanishing set of the ideal Ideal (-x1^10 + 9*x1^9 - 34*x1^8 + 71*x1^7 - 93*x1^6 + 87*x1^5 - 68*x1^4 + 45*x1^3 - 20*x1^2 + 4*x1) avoiding the zero loci of the polynomials RingElem[x1, x1 - 2, x1 - 1, x1^2 - x1 - 1, x1^2 - 3*x1 + 1, 2*x1 - 3, x1^3 - 2*x1^2 + 2*x1 - 2, x1^3 - 5*x1^2 + 6*x1 - 1, x1^2 - 2]