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