The realization space is
  [1   0   1    1   0   1        1   0    1    1        1]
  [0   1   1   x1   1   1   x2 + 1   0   x1    0   x2 + 1]
  [0   1   1   x1   0   0        0   1    1   x1       x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x1, x2 + 1, x1 + 1, x1*x2 - 1, x1 - x2, x2, x1^2 - 2*x1*x2 - x1 + x2 + 1, x1*x2 - x2 - 1, x1 - 2, x1 - 1, x2 - 1, x1 - x2 - 1, 2*x1 - 1, x1^2 - x1 + 1, x1^2 - x1*x2 - x1 + x2 + 1, x1 + x2 + 1, x1 - x2 - 2]