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