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