The realization space is
  [1   0   1       1   0   1               0       -x1*x2 + 2*x1              -x2 + 2    1                    1]
  [0   1   1   x1*x2   0   0   -x1*x2 + 2*x1       -x1*x2 + 2*x1   -x1*x2^2 + 2*x1*x2   x1   -x1*x2^2 + 2*x1*x2]
  [0   0   0       0   1   1               1   -x1*x2 + 2*x1 + 1                    1    1                   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 - 1, x1*x2 - 2*x1 + 1, x1*x2^2 - 2*x1*x2 - x2 + 1, x2 - 2, x1*x2^2 - 3*x1*x2 + 2*x1 + 1, x1*x2^2 - 2*x1*x2 + 1, x1*x2 - 2*x1 - 1, x1*x2 - x1 - 1, x1*x2 - 2*x1 - x2 + 1, x1 - 1, 2]