The realization space is
  [1   1   0    1   1   0        1    0        x1 - 1    1    1]
  [0   1   1   x1   0   0        0    1   x1^2 - 2*x1    1   x1]
  [0   0   0    0   1   1   x1 - 1   -1        x1 - 1   -1   -1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^7 - 14*x1^6 + 36*x1^5 - 40*x1^4 + 16*x1^3)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, 2, x1, 2*x1 - 3, 2*x1 - 1, x1 - 2, x1^2 - x1 - 1, x1^2 - 3*x1 + 1, x1^2 - x1 + 1]