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