The realization space is
  [1   1   0   0       x2 - 1           x2 - 1   0    1    1       x2 - 1        x1*x2 - x1]
  [0   1   1   1   -x1 + 2*x2   -x1 + 3*x2 - 1   0    0    1   -x1 + 2*x2   -x1*x2 + 2*x2^2]
  [0   1   1   0            0           x2 - 1   1   x2   x1   x1*x2 - x1   x1*x2^2 - 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[x1 - 2, x2, x1 - x2, x1 - 2*x2, x1, x1^2 - 3*x1*x2 + 2*x2, x1 - x2 - 1, 2*x1*x2 - x1 - 2*x2^2, x1 - 1, x1^2*x2 - x1^2 - x1*x2^2 - x1*x2 + x1 + 2*x2^2, x1^2 - 4*x1*x2 + 3*x2^2 + x2, x1^3 - 5*x1^2*x2 + x1^2 + 4*x1*x2^2 + 2*x1*x2 - x1 - 2*x2^2, x2 - 1, x1^2 - 4*x1*x2 + x1 + 2*x2^2, x1^2 - x1*x2^2 - 2*x1*x2 + 2*x2^2, x1^2*x2 - x1^2 - x1*x2^2 + 2*x1*x2 - 2*x2^2, x1^2 - 4*x1*x2 + x1 + 2*x2^2 + x2 - 1, x1^2 - 3*x1*x2 + x1 + x2 - 1, x1*x2 - 2*x1 + x2 + 1, x1 - 3*x2 + 1, x1 - x2^2 - x2]