The realization space is
  [1   1   0   -x1 + 4   0   1   1         0           2    1   -x1 + 4]
  [1   0   1   -x1 + 2   0   1   0         1   -2*x1 + 2   x1        x1]
  [0   0   0         0   1   1   1   -x1 + 4     -x1 + 2   x1         2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 4*x1 + 2, -4*x1^4 + 32*x1^3 - 72*x1^2 + 80*x1 - 32)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 3, x1 - 1, x1 - 4, x1^2 - 5*x1 + 3, x1^3 - 6*x1^2 + 10*x1 - 6, x1 - 2, x1^2 - 4*x1 + 1, x1^3 - 8*x1^2 + 19*x1 - 11, x1^2 - 6*x1 + 4, 2, x1^3 - 5*x1^2 + 8*x1 - 3, x1^2 - 3*x1 - 1, 2*x1 - 1, x1^3 - 8*x1^2 + 21*x1 - 19, x1^2 - 5*x1 + 5, x1^3 - 7*x1^2 + 12*x1 + 1, x1^2 - 3*x1 + 1, x1 - 5]