The realization space is
  [1   1   0             1   0   1   1        0                              x2         1    1]
  [0   1   1   x1 + x2 - 1   0   0   1   x2 - 1               x1*x2 + x2^2 - x2   -x2 + 1   x1]
  [0   0   0             0   1   1   1      -x2   -x1*x2 + x1 - x2^2 + 4*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, x1 + x2 - 1, x2 - 1, x1 + 2*x2 - 2, x1^2 + 2*x1*x2 - 3*x1 + x2^2 - 2*x2 + 2, x1*x2 - x1 + x2^2 - 4*x2 + 2, x1^2 + 2*x1*x2 - 2*x1 + x2^2 - x2, x1 + x2 - 2, x1*x2 + x2^2 - 2*x2 + 1, x1*x2 + x2^2 - 3*x2 + 1, x1 - x2, x1 - 1, x1, 2*x2 - 1, 2*x1*x2 - x1 + 3*x2^2 - 6*x2 + 2, 2*x1*x2 - x1 + 3*x2^2 - 5*x2 + 2]