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