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