The realization space is
  [1    2   1   1   0   x1 - 2   0     x1      2    0    1]
  [1   x1   0   0   1      -x1   0     x1     x1   x1   x1]
  [1   x1   0   1   0        0   1   2*x2   2*x2   x2   x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x1 - x2, x2, x1, x2 - 1, x1 - 2*x2, x1 - 2, x1 - 1, x1 - x2 - 1, x1*x2 - 2*x1 + 2*x2, x2 - 2, x1 - 4, x1^2 - x1*x2 - 2*x2, 2, x1^2 - 2*x1*x2 - 2*x1 + 2*x2, x1 - x2 - 2, x1^2 - 4*x1*x2 + 4*x2, x1^2 - 4*x2]