The realization space is
  [1   0   1    1   1   0    1   1    x1 + 1         0    1]
  [0   1   1   x1   0   0    0   1      2*x1         2   x1]
  [0   0   0    0   1   1   -1   1   -x1 + 1   -x1 + 3   -1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 4*x1 + 1, -8*x1^5 + 36*x1^4 - 36*x1^3 + 12*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1^2 - 3*x1 - 2, x1 - 3, 2, x1 + 1, x1 - 4, x1, x1^2 - 4*x1 - 1, x1^3 - 4*x1^2 + 3*x1 - 4, x1 - 2, x1 - 1, x1 - 5, x1^2 - 8*x1 + 3, 3*x1 - 1, 2*x1 - 1]