The realization space is
  [1   1   0                x2   0   1   1    0                x2      x1 + x2    1]
  [0   1   1   -x1 - x2^2 + x2   0   0   1   x1   -x1 - x2^2 + x2   -x2^2 + x2   x1]
  [0   0   0                 0   1   1   1   x2              x2^2    x1 + x2^2   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 - x2, x1 + x2, x1 + x2 - 1, x1 + x2^2, x2 - 1, x1^2 + x1*x2 + x2^2 - x2, x2, x1*x2 + x1 + x2^2 - x2, x1 - x2, x1 - 1, x1 - x2^3 + x2^2 - x2, x1, x1 - x2^3 + 2*x2^2 - x2, x1 + 2*x2^2 - x2, x1*x2 + x1 + x2^2]