The realization space is
  [1   1   0    1   0   1    1   1    1]
  [0   1   1   x1   0   0    0   1   x1]
  [0   0   0    0   1   1   x1   1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^6 - 2*x1^5 + 2*x1^3 - x1^2)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, 2*x1 - 1, x1 - 2]