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