The realization space is
  [1   0   1   1       x1        1   0        1         0       x1        1]
  [0   1   1   1   x1 - 1   x1 - 1   0        0         1   x1 - 1   x1 - 1]
  [0   0   0   1   x1 - 1        1   1   x1 - 2   -x1 + 3   x1 - 3       x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 3*x1 + 3, -2*x1^8 + 20*x1^7 - 84*x1^6 + 186*x1^5 - 218*x1^4 + 120*x1^3 - 16*x1^2 - 6*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 3, x1 - 1, 2, x1^2 - 4*x1 + 5, x1^3 - 5*x1^2 + 7*x1 - 1, x1^2 - 3*x1 + 1, x1^3 - 5*x1^2 + 9*x1 - 3, x1^2 - 4*x1 + 6, x1^3 - 4*x1^2 + 6*x1 - 2, x1 - 2, x1^2 - 3*x1 + 4, x1^2 - x1 + 1, x1^2 - 2*x1 + 2, x1, 2*x1^2 - 6*x1 + 3, x1^2 - 2*x1 - 1, x1^3 - 4*x1^2 + 4*x1 + 1, x1^2 - 5*x1 + 7]