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