The realization space is
  [1   1   0        2   0   1   1        0        2    1        1]
  [1   0   1   x1 + 1   0   1   0       x1   x1 + 1   x1   x1 + 1]
  [0   0   0        0   1   1   1   x1 - 1       x1   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, x1^2 + 1, 2, 2*x1 - 1, x1^2 + 2*x1 - 1, x1 - 2]