The realization space is
  [1   0   1   2   0   1    0   1    2   4]
  [0   1   1   1   0   0    1   1    1   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 (60)
avoiding the zero loci of the polynomials
RingElem[2, 3]