The realization space is
  [1   1   0   1   0   1   1        0        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    x1 - 1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - x1 + 2, -3*x1^5 + 4*x1^4 + 18*x1^3 - 36*x1^2 + 17*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, x1, x1^2 - x1 + 1, x1^2 - 2*x1 + 2, x1^2 - 3*x1 + 4, x1^2 - x1 + 6, x1^2 + 3, x1 - 3, x1 + 1, 2, x1^2 + x1 - 4, x1^2 - 5, 2*x1 - 3, 3*x1 - 1, 3*x1 - 5, x1 - 7]