The realization space is
  [1   1   0   0   x1        x1   0    1    2*x1 - 1        x1]
  [1   0   1   1    1   -x1 + 1   0    1           0   -x1 + 1]
  [1   0   1   0   x1         0   1   x1   x1^2 - x1      x1^2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^10 + 11*x1^9 - 17*x1^8 - 14*x1^7 + 82*x1^6 - 122*x1^5 + 95*x1^4 - 42*x1^3 + 10*x1^2 - x1)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1 - 1, x1, x1^3 + 2*x1^2 - 3*x1 + 1, x1^3 - 5*x1^2 + 4*x1 - 1, x1^2 + x1 - 1, x1^2 - 3*x1 + 1]