The realization space is
  [1   0   1   1   0   1    0         4         1         1         1]
  [0   1   1   2   0   0    1         4         2   -x1 + 2   -x1 + 2]
  [0   0   0   0   1   1   -1   -x1 + 3   -x1 + 1         1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 5*x1 + 2, -3*x1^4 + 19*x1^3 - 44*x1^2 + 47*x1 - 15)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, x1, 2*x1 - 1, x1^2 - 3*x1 + 1, x1^2 - 4*x1 + 2, 3*x1^2 - 9*x1 + 4, x1^2 - 9*x1 + 6, 5*x1 - 3, x1 - 3, x1 + 1, 2, 3*x1 - 5, x1^2 - 3*x1 + 4, 3*x1 - 1, x1 - 7]