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