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