The realization space is
  [1   0   1   x1 - 2   0   1    0        1   x1 - 2   x1 - 2     1]
  [0   1   1       x1   0   0    1        1       x1        1   -x1]
  [0   0   0        0   1   1   -1   x1 - 2       -1   x1 - 2    x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^5 + 8*x1^4 - 23*x1^3 + 28*x1^2 - 14*x1 + 4)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2, x1 - 3, x1^2 - 2*x1 - 1, x1 + 1, x1 - 2, x1^2 - 4*x1 + 5, x1^2 - 4*x1 + 2, x1^2 - 2*x1 - 2]