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