The realization space is
  [1   1   0       x2 - 1   0   1   1          0       x2 - 1         1    1]
  [0   1   1   x1*x2 - x2   0   0   1   2*x2 - 1   x1*x2 - x2   -x1 + 1   x2]
  [0   0   0            0   1   1   1   -x1 + x2   x1*x2 - x1        x1   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*x1 - 1, x1, 2*x2 - 1, x1 - x2, x1 + x2 - 1, x1 - 1, x2 - 1, x1*x2 + x2^2 - 3*x2 + 1, x1*x2 - x1 + x2^2, x1^2 - 2*x1*x2 - x2^2 + 3*x2 - 1, x1*x2 - 2*x2 + 1, x1^2 - 3*x1*x2 + x2, x1 - 3*x2 + 1, x1^2 - 2*x1*x2 + x2, x1^2*x2 - 4*x1*x2 + 2*x1 + 2*x2 - 1, x1^2*x2 + x1*x2^2 - 4*x1*x2 + x1 + x2^2, x1^2*x2 + x1*x2^2 - 5*x1*x2 + 2*x1 + 2*x2^2 - x2, x1^2*x2 + x1*x2^2 - 5*x1*x2 + 2*x1 + 2*x2 - 1, x1^2*x2 - x1*x2^2 - 2*x1*x2 + x1 + 2*x2 - 1, x1^2*x2 - x1*x2^2 - x1*x2 - x2^2 + 3*x2 - 1]