The realization space is
  [1   1   0   0   1   1        0        1        x1 - 2      x1 - 2    1]
  [1   0   1   0   1   0   x1 - 2   x1 - 1   x1^2 - 2*x1   x1^2 - x1   x1]
  [0   0   0   1   1   1       -1       -1           -x1         -x1   -1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^3 + 22*x1^2 - 36*x1 + 16)
avoiding the zero loci of the polynomials
RingElem[x1, 2, x1 - 4, x1 - 1, x1 - 3, x1 - 2, x1 + 1, x1^2 - 4*x1 + 2, x1^2 - 2*x1 + 2]