The realization space is
  [1   1   0   0                      x1                 x1   0         2*x1*x2 - 2*x1 - x2 + 1    1                      x1           2*x1*x2 - x1 - x2 + 1]
  [0   1   1   1   2*x1*x2 - x1 - x2 + 1   2*x1*x2 - x2 + 1   0                               0    1   2*x1*x2 - x1 - x2 + 1   2*x1*x2^2 - x1*x2 - x2^2 + x2]
  [0   1   1   0                       0                 x1   1   2*x1^2*x2 - x1^2 - x1*x2 + x1   x1                    x1^2                         x1^2*x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x2 - 1, x1, x1 - 1, x1^2 - 2*x1*x2 + x1 + x2 - 1, x2, x1*x2 - x2 + 1, 2*x1 - 1, 2*x1*x2 - x1 - x2 + 1, x1^2 + 2*x1*x2 - 2*x1 - x2 + 1, 4*x1^3*x2^2 - 2*x1^3*x2 + x1^3 - 8*x1^2*x2^2 + 7*x1^2*x2 - 2*x1^2 + 5*x1*x2^2 - 5*x1*x2 + x1 - x2^2 + x2, 2*x1*x2^2 - 2*x1*x2 + x1 - x2^2 + x2, 2*x1^2*x2^2 - 2*x1^2*x2 + x1^2 - 3*x1*x2^2 + 5*x1*x2 - 2*x1 + x2^2 - 2*x2 + 1, 2*x1^3*x2 - 3*x1^2*x2 + x1^2 + 3*x1*x2 - 2*x1 - x2 + 1, x1^3 + 4*x1^2*x2^2 - 6*x1^2*x2 + 2*x1^2 - 4*x1*x2^2 + 7*x1*x2 - 3*x1 + x2^2 - 2*x2 + 1, 4*x1^3*x2^2 - 6*x1^3*x2 + x1^3 - 8*x1^2*x2^2 + 13*x1^2*x2 - 5*x1^2 + 5*x1*x2^2 - 9*x1*x2 + 4*x1 - x2^2 + 2*x2 - 1, 2*x1*x2 - x2 + 1, 2*x1^2*x2 - x1^2 - 3*x1*x2 + 3*x1 + x2 - 1]