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