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