The realization space is
  [1   0   1   0   1    0   1         1         1        1]
  [0   1   1   0   0    1   1    x1 - 2   -x1 + 2   x1 - 2]
  [0   0   0   1   1   -1   1   -x1 + 2   -x1 + 2       x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^3 - 12*x1^2 + 22*x1 - 12)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 2, x1 - 1, 2*x1 - 3, x1 - 3, x1]