The realization space is
  [1   0   1   1   0   1    0        1         1         1]
  [0   1   1   0   0   1    1   x1 - 2   -x1 + 2   -x1 + 2]
  [0   0   0   1   1   1   -1   x1 - 2    x1 - 2        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 3*x1 + 1, 4*x1^3 - 18*x1^2 + 26*x1 - 12)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 2, x1 - 1, x1 - 3, x1, 2*x1 - 5]