The realization space is
  [1   0   1   1   0   1    0   2*x1 - 4     x1 - 2         1         1]
  [0   1   1   2   0   0    1   2*x1 - 4   2*x1 - 4   -x1 + 2   -x1 + 2]
  [0   0   0   0   1   1   -1         -2      -2*x1         1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (8*x1^4 - 48*x1^2 + 32*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, x1, 2, 3*x1 - 2, 2*x1^2 - 3*x1 + 2, x1^2 - 5*x1 + 2, x1 - 3, 2*x1 - 1, x1 + 1, x1 + 2]