The realization space is
  [1   1   0   x1 - 2   0   1   1        0   x1 - 2    1        x1 - 2]
  [1   0   1      -x1   0   1   0   x1 - 1      -x1   x1     x1^2 - x1]
  [0   0   0        0   1   1   1   x1 - 2       -1   x1   x1^2 - 2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^7 - 9*x1^6 + 33*x1^5 - 63*x1^4 + 66*x1^3 - 36*x1^2 + 8*x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1 - 2, 2*x1^3 - 7*x1^2 + 6*x1 - 2, x1^2 - 3*x1 + 1, x1^2 - 4*x1 + 2, 2, x1^2 - 2*x1 + 2, 2*x1 - 1, 2*x1 - 5, x1 - 3, 2*x1 - 3]