The realization space is
  [1   0   1   x1 - 1   0   1    0   x1 - 1      x1 - 1   x1 - 1      x1 - 1]
  [0   1   1     x1^2   0   0    1   x1 - 1        x1^2       x1          x1]
  [0   0   0        0   1   1   -1       x1   x1^2 - x1   x1 - 1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^14 - 8*x1^13 + 30*x1^12 - 70*x1^11 + 109*x1^10 - 114*x1^9 + 79*x1^8 - 35*x1^7 + 9*x1^6 - x1^5)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1 - 2, x1^2 - 3*x1 + 1, x1^3 - 3*x1^2 + 2*x1 - 1, x1^2 - x1 + 1, 2*x1 - 1, x1^3 - 4*x1^2 + 3*x1 - 1, 2*x1^2 - 2*x1 + 1]