The realization space is
  [1   1    1   0   1   0     x2 - 1    1       x2 - 1    1    1]
  [1   0   x2   1   1   0     x2 - 1   x2   x1*x2 - x1    0   x1]
  [0   0    0   0   1   1   -x1 + x2   x2     -x1 + x2   x2   x2]
in the multivariate polynomial ring in 2 variables over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - x1*x2 + x2^2 - x2)
avoiding the zero loci of the polynomials
RingElem[x1, x2, x2 - 1, x1 + x2^2 - 2*x2, x1 - 1, x1 - x2, x1^2 - 2*x1*x2 - x2^3 + 3*x2^2 - x2, x1*x2^2 - x1*x2 - x1 - x2^2 + 2*x2, x2 - 2, x1 + x2^2 - 3*x2 + 1, x1*x2 + x1 - 2*x2]