The realization space is
  [1   x2     x1 - 1   1   0           x1 - 1   0    1      x2    0]
  [1   x1          0   0   1   -2*x1 + x2 + 1   0    1      x1    1]
  [0   x2   -x1 + x2   0   0         -x1 + x2   1   x1   x1*x2   x2]
in the multivariate polynomial ring in 2 variables over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 3*x1*x2 + x2^2 + x2)
avoiding the zero loci of the polynomials
RingElem[x2, x1 - 1, x1 - x2, 2*x1*x2 - x1 - x2^2, x1, 2*x1 - x2 - 1, 3*x1*x2 - x1 - x2^2 - x2, x1^2 + 2*x1*x2 - 3*x1 - x2^2 + 1, x2 - 1, x1^2 - 3*x1 + x2 + 1, x1 - x2 - 1, x1^2 - x2, x1^2 + 2*x1*x2 - x1 - x2^2 - x2, 3*x1^2*x2 - x1^2 - x1*x2^2 - x2^2, x1^2*x2 - x1^2 + x1*x2 - x2^2, 3*x1 - x2 - 2, x1^3 + 2*x1^2*x2 - x1*x2^2 - 6*x1*x2 + 2*x2^2 + 2*x2, 2*x1 - x2, x1^3 - 3*x1*x2 + x2^2 + x2, x1^2 - 5*x1*x2 + 2*x2^2 + 2*x2]