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