The realization space is
  [1   1   0        2   0   1   1   0        2          4        2]
  [1   0   1   x1 + 1   0   1   0   1   x1 + 1     x1 + 1   x1 - 1]
  [0   0   0        0   1   1   1   2     2*x1   2*x1 + 2     2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (16*x1^3 - 32*x1 - 16)
avoiding the zero loci of the polynomials
RingElem[x1 - 3, x1 + 1, x1 - 1, x1 - 2, 2, x1, 3, x1 + 2, 3*x1 - 1]