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