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