The realization space is
  [1   1   0    1   0   1   1    0         1         1]
  [0   1   1   x1   0   0   1    1        x1   -x1 + 2]
  [0   0   0    0   1   1   1   -1   -x1 + 2   -x1 + 2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (3*x1 - 4, 2*x1^3 - 12*x1^2 + 22*x1 - 12)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 1, x1 - 2, 2*x1 - 3, x1, x1^2 - 2]