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