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