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