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