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