The realization space is
  [1   1   0    1   0   1         x1   1        0    1         1]
  [0   1   1   x1   0   0          0   1   x1 - 1   x1   -x1 + 1]
  [0   0   0    0   1   1   2*x1 - 1   1       -1   x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^9 + 28*x1^8 - 79*x1^7 + 121*x1^6 - 110*x1^5 + 59*x1^4 - 17*x1^3 + 2*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, x1^3 - 2*x1^2 + 3*x1 - 1, 3*x1^2 - 3*x1 + 1, 2*x1^2 - 4*x1 + 1]