The realization space is
  [1   1        1   0   0   1        1    1        1    1    1]
  [1   0   x1 + 1   1   0   1        1    0   x1 + 1   x1   x1]
  [0   0        0   0   1   1   x1 - 1   x1   x1 - 1   x1    1]
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 - 3*x1 + 1, x1^2 - 2*x1 - 1, x1 - 2, x1^2 - x1 + 1, x1 + 1, 2*x1 - 1, 2, x1^2 + x1 - 1, x1^2 - 2]