The realization space is
  [1   1   0                                      x1   0   1   1                   0                                      x1    1                x1]
  [1   0   1   -x1^2*x2 - 2*x1^2 + 3*x1*x2 + x1 - x2   0   1   0          x1*x2 - x1   -x1^2*x2 - 2*x1^2 + 3*x1*x2 + x1 - x2   x1   x1*x2 + x1 - x2]
  [0   0   0                                       0   1   1   1   2*x1*x2 - x1 - x2                                    x1^2   x1             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, x1 - x2, x1^2*x2 + 2*x1^2 - 3*x1*x2 + x2, x1 - 1, 2*x1 - 1, x1^2*x2 - 3*x1*x2 + x1 + x2, x1^2*x2 + 3*x1^2 - 3*x1*x2 - x1 + x2, x2, x1^2*x2^2 + 3*x1^2*x2 + x1^2 - 3*x1*x2^2 - 2*x1*x2 + x2^2, x1*x2 + 2*x1 - 2*x2, x1^2*x2^2 + 2*x1^2*x2 - 2*x1^2 - 3*x1*x2^2 + x1*x2 + x2^2, 2*x1^2*x2^2 + 4*x1^2*x2 - 3*x1^2 - 6*x1*x2^2 + x1*x2 + 2*x2^2, 2*x1*x2 - x1 - x2, 2*x1^2*x2^2 + 3*x1^2*x2 - 2*x1^2 - 6*x1*x2^2 + x1*x2 + 2*x2^2, x1^2*x2^2 + x1^2*x2 - x1^2 - 3*x1*x2^2 + x1*x2 + x2^2, x1^2*x2^2 + 3*x1^2*x2 - 2*x1^2 - 3*x1*x2^2 + x2^2, x1*x2 + x1 - x2, x2 - 1, x1^2*x2^2 + x1^2*x2 - 2*x1^2 - 3*x1*x2^2 + x1*x2 + x2^2, x1^2*x2^2 + x1^2*x2 - 2*x1^2 - 3*x1*x2^2 + 2*x1*x2 + x2^2, x1^2*x2 + 2*x1^2 - 3*x1*x2 - x1 + x2, x1*x2 - 1, x1^3*x2 + 2*x1^3 - 4*x1^2*x2 - 4*x1^2 + 4*x1*x2 + x1 - x2, 2*x1^3*x2^2 + 4*x1^3*x2 - 3*x1^3 - 7*x1^2*x2^2 + x1^2*x2 + 5*x1*x2^2 - x1*x2 - x2^2, 2*x1^3*x2^2 + 4*x1^3*x2 - 3*x1^3 - 7*x1^2*x2^2 - x1^2*x2 + x1^2 + 5*x1*x2^2 - x2^2, 2*x1^3*x2^2 + 4*x1^3*x2 - 3*x1^3 - 7*x1^2*x2^2 + x1^2 + 5*x1*x2^2 - x1*x2 - x2^2, 2*x1^3*x2^2 + 4*x1^3*x2 - 3*x1^3 - 7*x1^2*x2^2 - 2*x1^2*x2 + 2*x1^2 + 5*x1*x2^2 - x2^2, x1^2*x2 + x1^2 - 3*x1*x2 + x2, 3*x1*x2 - 2*x1 - x2, 2*x1^3*x2^2 + 3*x1^3*x2 - 2*x1^3 - 7*x1^2*x2^2 - 2*x1^2*x2 + 2*x1^2 + 5*x1*x2^2 - x2^2, 2*x1^3*x2^2 + 3*x1^3*x2 - 2*x1^3 - 7*x1^2*x2^2 + x1^2 + 5*x1*x2^2 - x1*x2 - x2^2]