The realization space is
  [1   1   0    1   0   1        1   1        0    1         1]
  [0   1   1   x1   0   0        0   1   x1 - 1   x1   -x1 + 1]
  [0   0   0    0   1   1   x1 - 1   1       -1   x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^6 + 5*x1^5 - 10*x1^4 + 13*x1^3 - 14*x1^2 + 9*x1 - 2)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1, x1 - 1, x1 - 2, x1^2 - 3*x1 + 1, x1 + 1, x1^2 - x1 + 1]