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