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