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