The realization space is
  [1   0   1    1   0   1    0    1    1     1     1]
  [0   1   1   x1   0   0    1    1   x1   -x3   -x3]
  [0   0   0    0   1   1   -1   x3   x2     1    x3]
in the multivariate polynomial ring in 3 variables over ZZ
within the vanishing set of the ideal
Ideal (x3^2 + 1)
avoiding the zero loci of the polynomials
RingElem[x3, x3 - 1, x3 + 1, x1 + x3, x1 + x2, x2 - x3, x1*x3 + x2*x3 + x2 - x3, x2, x1*x3 - x1 + x2*x3 - x3, x1, x1*x3 - x1 - x3, x1 - 1, x1 + x2*x3, x2 - 1, x1 + x2*x3 + x2 - 1, x1 + x2 + x3 - 1, x1*x3 - x1 - x2*x3 - x2 + x3^2 + 1, x1*x3 - x1 + x3^2 + 1, 2, x1 + x3 - 1, x1*x3 - x2, x1*x3 - x1 - x2 + 1, x1 + x2 - x3 - 1, x1 + x2 - 1, x1 - x3 - 1, x1*x3 - x1 + 1]