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