The realization space is
  [1   0   1           1   0   1    0   x1 - 2           1         1         1]
  [0   1   1   -2*x1 + 3   0   0    1   x1 - 2   -2*x1 + 3   -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 (2*x1^5 - 14*x1^4 + 39*x1^3 - 55*x1^2 + 40*x1 - 12)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, x1, 2*x1^2 - 4*x1 + 1, 2, 2*x1 - 1, 2*x1 - 3, x1 - 3, 2*x1^2 - 6*x1 + 3]