The realization space is
  [1   0   1   2*x1 - 1   0   1    0      x1 - 1             2*x1 - 1     2*x1 - 1      2*x1 - 1]
  [0   1   1       x1^2   0   0    1      x1 - 1                 x1^2   -x1^2 + x1    -x1^2 + x1]
  [0   0   0          0   1   1   -1   -2*x1 + 1   -2*x1^2 + 3*x1 - 1     2*x1 - 1   2*x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (14*x1^9 - 61*x1^8 + 107*x1^7 - 96*x1^6 + 46*x1^5 - 11*x1^4 + x1^3)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1^2 + x1 - 1, 2*x1 - 1, x1^2 - 3*x1 + 1, x1^3 - 6*x1^2 + 5*x1 - 1, 3*x1 - 2, 5*x1^3 - 7*x1^2 + 4*x1 - 1, x1^2 - 4*x1 + 2, 3*x1^3 - 4*x1^2 + 3*x1 - 1]