The realization space is
  [1   1   0        1   0   1   1        0        1        1        1]
  [1   0   1   x1 - 1   0   1   0   x1 - 2   x1 - 1   x1 - 2   x1 - 2]
  [0   0   0        0   1   1   1   x1 - 1       x1   x1 - 1       x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^6 + 9*x1^5 - 31*x1^4 + 50*x1^3 - 34*x1^2 + x1 + 6)
avoiding the zero loci of the polynomials
RingElem[x1 - 3, x1 - 2, x1, x1 - 1, 2*x1 - 3, x1^2 - x1 - 1, 2, x1^2 - 2*x1 - 1, x1^2 - 3*x1 + 1]