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