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