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