The realization space is
  [1   0   1    1   0   1        0    1   x2         1]
  [0   1   1   x1   0   0   x2 - 1    1    1   -x2 + 1]
  [0   0   0    0   1   1      -x2   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*x2 - x1 - x2, x2^2 - x2 + 1, x1, x1 - 1, x1 + x2 - 1, x1*x2 - 1, x1 - x2, x1*x2 - x1 + 1, x1*x2 - x2 + 1]