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