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