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