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