The realization space is
  [1   1   0           x1^2 - x1   0   1   1          0           x1^2 - x1     x1 - 1                   x1]
  [0   1   1   2*x1^2 - 4*x1 + 1   0   0   1   2*x1 - 1   2*x1^2 - 4*x1 + 1   2*x1 - 1   -2*x1^2 + 4*x1 - 1]
  [0   0   0                   0   1   1   1        -x1               -x1^2        -x1                 x1^2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (21*x1^14 - 133*x1^13 + 315*x1^12 - 367*x1^11 + 230*x1^10 - 79*x1^9 + 14*x1^8 - x1^7)
avoiding the zero loci of the polynomials
RingElem[x1, 3*x1 - 1, x1^2 - 3*x1 + 1, 2*x1 - 1, 2*x1^3 - 4*x1^2 + 4*x1 - 1, x1 - 1, 2*x1^2 - 4*x1 + 1, x1^3 - 6*x1^2 + 5*x1 - 1, x1^2 + 2*x1 - 1, 2]