The realization space is
  [1   1   0    1   0   1   1        0    x1 - 2    1        1]
  [1   0   1   -1   0   1   0   x1 - 1   -x1 + 2   x1   x1 - 1]
  [0   0   0    0   1   1   1       x1       -x1   x1       x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^5 - 2*x1^4 - 3*x1^3 + 8*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2, x1 - 2, x1 - 3, x1 + 1, x1 + 2, 2*x1 - 1, x1^2 - 2*x1 + 2, 3*x1 - 4]