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