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