The realization space is
  [1   1   0            1   0   1   1         0            1         1    1]
  [0   1   1   -x1^2 + x1   0   0   1        x1   -x1^2 + x1   -x1 + 1   x1]
  [0   0   0            0   1   1   1   -x1 + 1         x1^2        x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^9 + 9*x1^8 - 22*x1^7 + 33*x1^6 - 28*x1^5 + 12*x1^4 - 2*x1^3)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, x1 - 1, 2*x1^2 - 2*x1 + 1, 2, x1 - 2, x1^2 - x1 + 1, x1^3 - 2*x1^2 + 3*x1 - 1, x1 + 1, x1^2 - 2*x1 + 2]