The realization space is
  [1   1   0   x1^2 - 2*x1 + 1   0   1   1                  0   x1^2 - 2*x1 + 1    1      x1 - 1]
  [1   0   1             -x1^2   0   1   0     -x1^2 + x1 - 1             -x1^2   x1        x1^2]
  [0   0   0                 0   1   1   1   -x1^2 + 2*x1 - 1        -x1^2 + x1   x1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^11 + 11*x1^10 - 48*x1^9 + 115*x1^8 - 171*x1^7 + 166*x1^6 - 106*x1^5 + 43*x1^4 - 10*x1^3 + x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1^2 - x1 + 1, 2*x1^2 - 2*x1 + 1, 2*x1 - 1, x1^3 - 3*x1^2 + 2*x1 - 1, x1^3 - 2*x1^2 + 3*x1 - 1, 3*x1^2 - 3*x1 + 1, 2*x1^2 - 3*x1 + 2]