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