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