The realization space is
  [1   1   0   0        1        1   0    1        1        1    1]
  [0   1   1   1   x1 - 1       x1   0    0        1   x1 - 1   x1]
  [0   0   0   1   x1 - 1   x1 - 1   1   x2   x2 + 1   x2 + 1   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[x1 + x2, x1 + x2 - 1, 2, x1 - x2 - 2, x1 - x2 - 1, x1, x1 - 2, x1*x2 + x1 - x2, x2 + 1, x1 - 1, x1^2 - x1*x2 - 2*x1 + x2, x2, x1 - x2, x1^2 - x1*x2 - 2*x1 + 2*x2 + 1, x1*x2 - x2 + 1, x1^2 - x1*x2 - 3*x1 + x2 + 1, x1^2 - x1*x2 - 3*x1 + 1, x1 - x2 - 3, x1*x2 + 1, x1*x2 + x1 - 2*x2 - 1]