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