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