The realization space is
  [1   1   0   0   1   1                     0                       x1^2 + x1*x2 - 2*x1                     x1 + x2 - 2                               x1 + x2 - 1            x1^2 + x1*x2 - 2*x1]
  [0   1   1   0   0   1   x1^2 + x1*x2 - 2*x1   -x1^3 - x1^2*x2 + 3*x1^2 + x1*x2 - 2*x1   -x1^2 - x1*x2 + 3*x1 + x2 - 2   -x1^3 - x1^2*x2 + 3*x1^2 + x1*x2 - 2*x1    x1^2*x2 + x1*x2^2 - 2*x1*x2]
  [0   0   0   1   1   1          -x1 - x2 + 1              x1^2 + x1*x2 - 2*x1 - x2 + 1                     x1 + x2 - 1                         x1^2 + x1*x2 - x1   x1^2 + x1*x2 - 2*x1 - x2 + 1]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x1^2 + x1*x2 - 2*x1 + 1, x1^4 + 2*x1^3*x2 - 5*x1^3 + x1^2*x2^2 - 5*x1^2*x2 + 8*x1^2 + 2*x1*x2 - 4*x1 - x2 + 1, x1^3 + x1^2*x2 - 3*x1^2 - x1*x2 + 2*x1 + x2 - 1, x1^3 + x1^2*x2 - 3*x1^2 + 2*x1 + x2^2 - x2, x1 - 1, x1*x2 + x2^2 - 2*x2 + 1, x2 - 1, x1^2 + x1*x2 - 3*x1 - x2 + 1, x1 + x2 - 1, x1 + x2 - 2, x2, x1^2*x2 + x1*x2^2 - 2*x1*x2 - x2 + 1, x1, 2*x1^3 + 2*x1^2*x2 - 6*x1^2 - 2*x1*x2 + 4*x1 + x2 - 1, x1^5 + 2*x1^4*x2 - 4*x1^4 + x1^3*x2^2 - 4*x1^3*x2 + 4*x1^3 - x1^2*x2 + x1^2 - x1*x2^2 + 4*x1*x2 - 3*x1 + x2^2 - 2*x2 + 1, x1^3 + x1^2*x2 - 3*x1^2 - x1*x2 + 3*x1 + x2 - 1, x1^2 + x1*x2 - x1 + x2 - 1]