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