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