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