The realization space is
  [1   1   0        x1 - 1   0   1   x1 - 1   1        0              1]
  [0   1   1   x1^2 - 2*x1   0   0        0   1   x1 - 2   -x1^2 + 2*x1]
  [0   0   0             0   1   1       x1   1       -1             x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^4 + 6*x1^3 - 10*x1^2 + 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 2, x1 - 1, x1^2 - 3*x1 + 1, x1 - 3]