The realization space is
  [1   1   x1 - 1   0   0   1    1                 0   x1^2 - 2*x1 + 1      x1^2 - 2*x1 + 1]
  [0   1       -1   1   0   0    1                 1                 1                    1]
  [0   0        0   0   1   1   x1   x1^2 - 2*x1 + 1   x1^2 - 2*x1 + 1   x1^3 - 2*x1^2 + x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, x1, x1^2 - 3*x1 + 3, x1^2 - 3*x1 + 1, x1^2 - 2*x1 + 2]