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