The realization space is
  [0   1   1   0   0   1   x1 - x2 + 1   x1 - x2 + 1         x1 - x2 + 1                           x1^2 - x1*x2 + x1    1]
  [1   1   0   1   0   0       x1 - x2            x1                  x1                                x1^2 - x1*x2   x1]
  [1   1   0   0   1   1             0            x2   x1*x2 - x2^2 + x2   x1^2*x2 - 2*x1*x2^2 + x1*x2 + x2^3 - 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 + x2, x1 - x2, x1^2*x2 - x1^2 - x1*x2^2 + x2^2 - x2, x2, x1^2 - x1*x2 + x2, x1^2*x2 - x1^2 - 2*x1*x2^2 + x1*x2 + x2^3 - x2, x1, x2 - 1, x1 - x2 + 1, x1 - 1, x1*x2 - 2*x1 - x2^2 + 2*x2 - 1, x1^2 - 2*x1*x2 + x2^2 - x2, x1^2 - 2*x1*x2 - x1 + x2^2 + x2 - 1, x1^2*x2 - 2*x1^2 - 2*x1*x2^2 + 3*x1*x2 - x1 + x2^3 - x2^2, x1*x2 - x1 - x2^2, 2*x1 - 2*x2 + 1, x1 - 2*x2 + 1]