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