The realization space is
  [1   1   0   x2 - 1   0   1   1    0   x2 - 1      1      1]
  [1   0   1    -2*x2   0   1   0    1    -2*x2   2*x2   2*x2]
  [0   0   0        0   1   1   1   x1      -x2   2*x2     x2]
in the multivariate polynomial ring in 2 variables over ZZ
within the vanishing set of the ideal
Ideal with 2 generators
avoiding the zero loci of the polynomials
RingElem[x2, 2*x2 - 1, 2, 2*x1 - 1, 2*x1*x2 - x1 - x2, x1, 2*x1*x2 - x2 + 1, 2*x1*x2 - x1 - x2 + 1, 3*x2 - 1, x2 - 1, 4*x2 - 1, 2*x1*x2 - 2*x2 + 1, 2*x1*x2 - x1 - 2*x2, x1 - 1, x1*x2 - x2 + 1, 3*x1*x2 - x1 - x2, 3*x1*x2 - x1 - 2*x2 + 1, x1 + 1, 3*x1*x2 - x1 - x2 + 1]