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