The realization space is
  [1    1   1   0   0   1    1   1          0         1         1]
  [1   x1   0   1   0   1   x1   0          2   -x1 + 2   -x1 + 2]
  [0    0   0   0   1   1   x1   2   3*x1 - 2         2        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (3*x1^2 - 6*x1 + 4, -18*x1^7 + 108*x1^6 - 260*x1^5 + 328*x1^4 - 234*x1^3 + 92*x1^2 - 16*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, 2, 3*x1^2 - 3*x1 + 2, 3*x1^2 - 4*x1 + 2, 3*x1 - 2, 3, x1, 3*x1^2 - 5*x1 + 6, 3*x1^2 - 5*x1 + 4, 3*x1^2 - 8*x1 + 8, x1 + 2, 3*x1 + 2, 3*x1^2 - 2*x1 + 4, 3*x1^2 - 4*x1 + 4, 3*x1 - 1, 3*x1 - 4]