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