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