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