The realization space is
  [1   0   1         x1   0   1    0    1           x1   x1     x1]
  [0   1   1   x1^2 + 1   0   0    1    1     x1^2 + 1    1      1]
  [0   0   0          0   1   1   -1   x1   -x1^2 + x1   x1   x1^2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^12 + 4*x1^11 - 8*x1^10 + 13*x1^9 - 16*x1^8 + 14*x1^7 - 10*x1^6 + 5*x1^5 - x1^4)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, x1^3 + 2*x1 - 1, 2*x1 - 1, x1^3 - 2*x1^2 + 3*x1 - 1, x1^3 - x1^2 + 2*x1 - 1, x1^2 + 1, x1^2 - x1 + 1, x1 + 1, x1^3 + x1 - 1]