The realization space is
  [1   0   1   1   0   1    0   x1 - 2    1         1         1]
  [0   1   1   2   0   0    1   x1 - 2    2   -x1 + 2   -x1 + 2]
  [0   0   0   0   1   1   -1       -1   x1         1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^5 + 4*x1^4 - 8*x1^3 + 5*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, x1, 2, x1^2 - 2*x1 + 2, x1^2 - x1 + 1, 2*x1 - 1, x1 - 3, x1^2 - x1 - 1, x1 + 2, x1 + 1]