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