The realization space is
  [1   0   1    2   0   1        1    0    1    1]
  [0   1   1   x1   0   0        0    1    1   x1]
  [0   0   0    0   1   1   x1 - 1   -1   -1   -1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^3 - 14*x1^2 + 16*x1 - 8)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, 2, x1, x1 - 2, x1^2 - 2*x1 + 2]