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