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