The realization space is
  [1   1   0   x1 - 1   1   0   0   x1 - 1      x1 - 1      x1 - 1]
  [1   0   1    -x1^2   1   0   1      -x1       -x1^2         -x1]
  [0   0   0        0   1   1   1   x1 - 1   x1^2 - x1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^10 - 14*x1^9 + 14*x1^8 + 10*x1^7 - 43*x1^6 + 60*x1^5 - 51*x1^4 + 27*x1^3 - 8*x1^2 + x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2*x1 - 1, x1^2 + x1 - 1, 2*x1^2 - 1, 3*x1 - 2]