The realization space is
  [1   1   0    1      x1                x1   1    1   0    1                 0]
  [0   1   1   x1   x1*x2   x1*x2 + x1 - x2   1   x2   0    0   x1*x2 + x1 - x2]
  [0   0   0    1      x2                x2   1   x2   1   x2       -x1*x2 + x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x2, x1*x2 - x2 + 1, x1 - 1, x1 - x2, x1*x2^2 - x1*x2 - x1 - x2^2 + 2*x2, 2*x1*x2 + x1 - 2*x2, 2*x1*x2 - 2*x2 + 1, x1^2*x2 - 2*x1*x2^2 - x1*x2 + x1 + 2*x2^2 - x2, x1, x2 - 1, x1^2*x2^2 - 2*x1^2*x2 - x1^2 + 3*x1*x2 - x2^2, x1^2*x2 + x1 - x2, x1^2*x2 - x1^2 + 2*x1 - x2, x1*x2 + x1 - x2, x1*x2 - 2*x1 + 1, x1*x2 - x1 + 1, x1*x2 + x1 - 2*x2, x1*x2 - 2*x2 + 1]