The realization space is
  [1   1   0   0   1   1                0         2*x2 - 2   2*x2 - 2         2*x2 - 2      2]
  [0   1   1   0   0   1           x2 - 1           x1 - 1     x2 - 1   -x1 + 2*x2 - 1      1]
  [0   0   0   1   1   1   -x1 + 2*x2 - 1   2*x1*x2 - 2*x1     x1 - 1   2*x1*x2 - 2*x1   2*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[2*x2 - 1, x1 - x2, 2, x1 - 2*x2^2 + 2*x2 - 1, x1 + 2*x2^2 - 6*x2 + 3, x1 + 2*x2^2 - 4*x2 + 1, x1 - 2*x2^2 + 1, x1 - 2*x2 + 1, x2 - 1, x2, x1^2 - 2*x1*x2^2 + 4*x1*x2 - 4*x1 + 1, 2*x1*x2 - 3*x1 + 1, x1^2 + 2*x1*x2^2 - 8*x1*x2 + 4*x1 + 2*x2^2 - 1, x1 - 1, x1, x1^2 - 2*x1*x2^2 + 4*x2^2 - 4*x2 + 1, x1^2 - 2*x1*x2^2 + 2*x1*x2 - 2*x1 + 2*x2 - 1, x1^2 - 2*x1*x2^2 + 6*x2^2 - 8*x2 + 3, x1^2 + 2*x1*x2^2 - 8*x1*x2 + 4*x1 + 4*x2^2 - 4*x2 + 1, x1 - 3*x2 + 2]