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 (-x1^12 + 12*x1^11 - 62*x1^10 + 182*x1^9 - 335*x1^8 + 398*x1^7 - 298*x1^6 + 128*x1^5 - 24*x1^4)
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]