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