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