The realization space is
  [1   1   0               x1 + 1   0   1   1    0               x1 + 1   x1 + 1   x1 + 1]
  [0   1   1   2*x1*x2 + 2*x2 - 2   0   0   1    1   2*x1*x2 + 2*x2 - 2       x1       -1]
  [0   0   0                    0   1   1   1   x1           x1*x2 + x2        1        1]
in the multivariate polynomial ring in 2 variables over ZZ
within the vanishing set of the ideal
Ideal (x1^2*x2 - x1*x2 - 2*x2 + 2)
avoiding the zero loci of the polynomials
RingElem[x1, x1*x2 + x2 - 1, 3*x1*x2 + 3*x2 - 2, x1^2*x2 + 5*x1*x2 - x1 + 4*x2 - 3, x2, 2*x1*x2 + 2*x2 - 1, 2*x1^2*x2 + x1*x2 - x1 - x2 + 1, x1 + 1, 2*x1^2*x2 + 2*x1*x2 - x1 + 1, 2, x1 + 2, x1^2*x2 + x1*x2 + 1, 2*x1*x2 - x1 + 2*x2 - 3, 3*x1*x2 - x1 + 3*x2 - 3, 2*x1*x2 - x1 + 2*x2 - 2, 2*x1^2*x2 - x1^2 + x1*x2 - 2*x1 - x2 + 1, x1 - 1, 2*x1^2*x2 - x1^2 + 2*x1*x2 - 2*x1 + 1, 2*x1^2*x2 + x1*x2 - 2*x1 - x2, 2*x1^2*x2 - x1^2 + x1*x2 - 3*x1 - x2, x1*x2 + x2 - 2, x2 - 1]