The realization space is
  [1   1   0    1   0   1   x1 - 1   1        0    1                  1]
  [0   1   1   x1   0   0        0   1   x1 - 1   x1   -x1^2 + 2*x1 - 1]
  [0   0   0    0   1   1     x1^2   1       -1   x1                 x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^10 - 5*x1^9 + 11*x1^8 - 12*x1^7 + 2*x1^6 + 14*x1^5 - 23*x1^4 + 19*x1^3 - 9*x1^2 + 2*x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1^2 - x1 + 1, x1 - 1, x1 - 2, x1^2 - 2*x1 + 2, x1^4 - 3*x1^3 + 4*x1^2 - 2*x1 + 1, x1^3 - 2*x1^2 + x1 + 1, x1 + 1, 2*x1 - 1]