The realization space is
  [1   0   1   x2 - 1   0   1    1    0         x2 - 1    1]
  [0   1   1      -x1   0   0    0    1         x2 - 1   x1]
  [0   0   0        0   1   1   x2   -1   -x1 - x2 + 1   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[x1 + x2^2 - 1, x1 + x2 - 1, x1 - 1, x2, x1, x1 + x2, x2 - 1, x1 + x2^2 - x2, x1 + 2*x2 - 2]