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