The realization space is
  [1   1   0    2   0   1   1        0      2        1        1]
  [1   0   1   x1   0   1   0        2     x1   x1 + 1   x1 + 1]
  [0   0   0    0   1   1   1   x1 + 2   2*x1   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, -6*x1^4 - 10*x1^3 + 16)
avoiding the zero loci of the polynomials
RingElem[x1, x1 + 1, x1 - 1, x1^2 + 2, x1^3 - 4, x1^3 + 2*x1 - 2, x1^3 + x1^2 + 2*x1 - 2, 2, x1 + 2, x1^2 + 2*x1 + 2, x1^3 + 2*x1 + 2, x1^2 - 2, x1^4 - 4*x1 - 4, 2*x1 + 1, x1^3 + 2*x1^2 + 4*x1 + 2, x1^3 + 2*x1^2 + 4, x1^2 + 2*x1 - 2, x1^4 + 2*x1^3 + 2*x1^2 + 4*x1 - 4, x1 + 4, x1^4 + 2*x1^3 + 2*x1^2 - 4, x1^4 + 2*x1^3 - 4]