The realization space is
  [1    1   1    1   0   0    0    1   1]
  [1   x1   0   x1   1   0   x1    0   1]
  [1   x1   0    1   0   1    1   x1   0]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1, x1^2 - x1 + 1, x1^2 + 1, x1 - 1]