The realization space is
  [1   1   0                 x1   0   1   1         0                 x1         1         1]
  [0   1   1   -x1^2 + 3*x1 - 2   0   0   1    x1 - 2   -x1^2 + 3*x1 - 2   -x1 + 2   -x1 + 2]
  [0   0   0                  0   1   1   1   -x1 + 1          x1^2 - x1    x1 - 1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^7 - 9*x1^6 + 36*x1^5 - 83*x1^4 + 118*x1^3 - 104*x1^2 + 56*x1 - 16)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, 2, x1^2 - x1 + 1, x1^2 - x1 + 2, x1, x1^2 - 2*x1 + 2, 2*x1 - 3, x1^3 - 3*x1^2 + 5*x1 - 4, x1^2 - 2, x1^3 - 2*x1^2 + 2*x1 - 2]