The realization space is
  [1   1   0    1   0   1   1         0        1         1         1]
  [0   1   1   x1   0   0   1    x2 - 2       x1   -x2 + 2   -x2 + 2]
  [0   0   0    0   1   1   1   -x2 + 1   x2 - 1    x2 - 1        x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x2 - 2, x2 - 1, x1 + x2 - 2, x1*x2 + x2^2 - 3*x2 + 2, x1*x2 + x2^2 - 3*x2 + 1, x1*x2 - x1 + x2^2 - 4*x2 + 4, x1 + x2 - 3, x1*x2 - x1 - x2 + 2, 2, x1 - 2, x2, x1, x1 - 1, 2*x2 - 3, x1*x2 - 2*x1 - 2*x2 + 3, x1*x2 - x1 + x2^2 - 5*x2 + 5, x1 - x2 + 1, x1*x2 - x1 - 2*x2 + 3]