The realization space is
  [1   0   1   0   1    0   x1 - 2         1   x1 - 2         1]
  [0   1   1   0   0    1   x1 - 2   -x1 + 2        1   -x1 + 2]
  [0   0   0   1   1   -1       -1         1       -1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^4 + 3*x1^3 + x1^2 - 9*x1 + 6)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 1, x1^2 - 2*x1 - 1, x1^2 - 4*x1 + 5, x1 - 3, x1 - 2, x1]