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