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