The realization space is
  [1   x2   1   x2   x1 - x2   0    1   0      x2   x1^2 - 2*x1*x2 + x2    0]
  [1   x1   0    1    x1 - 1   1    1   0      x1                     0    1]
  [1   x1   0   x1         0   0   x1   1   x1*x2      -x1^2*x2 + x1*x2   x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x1^2 + 2*x1*x2^2 - 3*x1*x2 - x2^2 + x2, x1^2*x2 - x1^2 - 3*x1*x2^2 + 2*x1*x2 + 2*x2^2 - x2, x1, x1 - 1, x2, x1^3 + x1^2*x2^2 - 3*x1^2*x2 + x1*x2^2 + x1*x2 - x2^2, x1^3 - 2*x1^2*x2 + 2*x1*x2^2 - x2^2, x2 - 1, x1 - x2, 2*x1*x2 - x1 - x2^2, x1^2 - x1*x2 + x2^2 - x2, x1 + x2^2 - 2*x2, x1^2*x2 - x1^2 - 2*x1*x2^2 + x1*x2 + x2^2, x1^2 + x1*x2^2 - 3*x1*x2 + x2, x1^2 - x1*x2 - x2^2 + x2, x1^2*x2 + x1^2 - 3*x1*x2 + x2, x1^2 + x1*x2^2 - 2*x1*x2 - x2^2 + x2, x1^2 - 2*x1*x2 + x2, x1 - 2*x2 + 1]