The realization space is
  [1   1   0   1   0   0   x1    1      x1*x2 - x1           -x1^2 + x1*x2^2 - x2^2 + x2                    x1*x2 - x1]
  [0   1   1   1   1   0   x2   x2       x2^2 - x2                   x1^2*x2^2 - x1^2*x2               x1*x2^2 - x1*x2]
  [0   0   0   1   1   1   x1   x1   -x1^2 + x1*x2   -x1^3 + x1^2*x2^2 - x1*x2^2 + x1*x2   -x1^2 + 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 + 1, x2, x1 - 1, x1^2 - x1*x2 + x2^2 - x2, x2 - 1, x1 - x2, x1^2 - 2*x1*x2^2 + x1*x2 + x2^3 - x2^2, x1 - x2^2 + x2, x1^2 - x1*x2^2 + x2^2 - x2, x1, x1*x2 - x2 + 1, x1^2*x2 - x1^2 + x1*x2 - x2^2 + x2, x1^2 - 2*x1*x2^2 + x2^3 - x2, x1^3 - x1^2*x2 + 2*x1*x2^2 - x1*x2 - x2^3 + x2^2, x1^2*x2^2 - x1^2*x2 + x1^2 - x1*x2^2 + x2^2 - x2, x1^2 - x2, 2*x1 - x2]