The realization space is
  [1   1   0   x2 - 1   0   1   1          0   x2 - 1     x2 - 1    1]
  [0   1   1      -x1   0   0   1   2*x2 - 1      -x1   2*x2 - 1   x1]
  [0   0   0        0   1   1   1        -x2      -x2        -x2   x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x2, x1 + 2*x2 - 1, x1 + x2 - 1, 2*x2 - 1, x1*x2 - x1 - 2*x2 + 1, 2*x1*x2 - x1 + x2^2 - 3*x2 + 1, x2 - 1, x1, x1 - x2, x1 + 2*x2 - 2, x1*x2 + 2*x2^2 - 3*x2 + 1, x1*x2 + 2*x2^2 - 4*x2 + 1, x1 - 1, 3*x2 - 1, 2*x1*x2 - x1 + 3*x2^2 - 4*x2 + 1, x1 + 3*x2 - 2, x1*x2 + 4*x2^2 - 4*x2 + 1, x1*x2 + 5*x2^2 - 5*x2 + 1, x1*x2 + 3*x2^2 - 4*x2 + 1]