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