The realization space is
  [1   1   x1 - 1   0   0   1    1   x1^2 - 3*x1 + 2         0   x1 - 1      x1 - 1]
  [0   1       -1   1   0   0    1           -x1 + 2         1   x1 - 2      x1 - 2]
  [0   0        0   0   1   1   x1           -x1 + 1   -x1 + 1   x1 - 1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^5 + 10*x1^4 - 18*x1^3 + 14*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, 2, 2*x1 - 1, 2*x1 - 3, x1^2 - x1 - 1, x1, x1^2 - 3*x1 + 1, 2*x1^2 - 4*x1 + 1]