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