The realization space is
  [1   1   0   x1 - 2   0   1   1        0   x1^3 - 4*x1^2 + 6*x1 - 4    1        x1 - 2]
  [1   0   1      -x1   0   1   0   x1 - 1      -x1^3 + 2*x1^2 - 2*x1   x1     x1^2 - x1]
  [0   0   0        0   1   1   1   x1 - 2      -x1^3 + 4*x1^2 - 4*x1   x1   x1^2 - 2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^9 + 20*x1^8 - 86*x1^7 + 210*x1^6 - 320*x1^5 + 310*x1^4 - 184*x1^3 + 60*x1^2 - 8*x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1 - 2, 2, x1^2 - 2*x1 + 2, x1^2 - 4*x1 + 2, 2*x1 - 1, x1^2 - 2*x1 + 4, x1^3 - 4*x1^2 + 4*x1 - 2, 3*x1^3 - 10*x1^2 + 12*x1 - 4, 2*x1 - 3]