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