The realization space is
  [1   0   1   1   0   1   x1 - 2    0   x1 - 2         1         1]
  [0   1   1   2   0   0        0    1   x1 - 2   -x1 + 2   -x1 + 2]
  [0   0   0   0   1   1       -2   -1       -1         1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-6*x1^3 + 22*x1^2 - 24*x1 + 8)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, x1, 2, x1^2 - 2*x1 + 2, x1^2 - 2, x1 - 3, x1 - 4, 3*x1 - 4]