The realization space is
  [1   0   1     x1 - 3   0   1    0   1         1         1]
  [0   1   1   2*x1 - 4   0   0    1   1   -x1 + 2   -x1 + 2]
  [0   0   0          0   1   1   -1   1    x1 - 2        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^4 + 14*x1^3 - 30*x1^2 + 14*x1 + 12)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, 2, x1 - 1, x1 + 1, x1, x1 - 3]