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