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