The realization space is
  [1   1   0   1   0   1   1        0    1   x1 - 1         1]
  [1   0   1   2   0   1   0   x1 - 2    2       x1   -x1 + 2]
  [0   0   0   0   1   1   1      -x1   x1       x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^5 - 4*x1^4 + 7*x1^3 - 4*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, 2, x1 - 1, x1 - 2, x1^2 - 2*x1 + 2, x1^2 - 2, x1 + 1, x1 + 2, x1^2 - x1 + 2]