The realization space is
  [1   1   1   0   0   1   2   2   1    0]
  [0   1   2   1   0   0   0   2   2    1]
  [0   0   0   0   1   1   1   1   1   -1]
in the multivariate polynomial ring in 0 variables over ZZ
within the vanishing set of the ideal
Ideal (22)
avoiding the zero loci of the polynomials
RingElem[3, 2, 5]