The realization space is
  [1   0   1                 1   0   1        0   x1 - 1         1         1]
  [0   1   1   x1^2 - 2*x1 + 1   0   0   x1 - 1   x1 - 1   -x1 + 1   -x1 + 1]
  [0   0   0                 0   1   1       -1   x1 - 2         1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^6 + 6*x1^5 - 14*x1^4 + 16*x1^3 - 9*x1^2 + 2*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, 2, x1^2 - 2*x1 + 2, x1 - 2]