The realization space is
  [1   1   0              x1   0   1   1        0              x1   2*x1 - 1    1]
  [0   1   1   x1^2 - x1 + 1   0   0   1       x1   x1^2 - x1 + 1         x1   x1]
  [0   0   0               0   1   1   1   x1 - 1            x1^2     x1 - 1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^11 - 8*x1^10 + 15*x1^9 - 17*x1^8 + 12*x1^7 - 5*x1^6 + x1^5)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2*x1 - 1, 2*x1^2 - 2*x1 + 1, 2*x1^3 - 2*x1^2 + 2*x1 - 1, 2, x1^3 - x1^2 + 2*x1 - 1, x1^2 - x1 + 1, 3*x1^2 - 3*x1 + 1, x1^3 - 2*x1^2 + 3*x1 - 1]