The realization space is
  [1   1   1   0   0   1   1   1    0    2]
  [1   0   2   1   0   1   0   2    1   -1]
  [0   0   0   0   1   1   2   2   -2    2]
in the multivariate polynomial ring in 0 variables over ZZ
within the vanishing set of the ideal
Ideal (-48)
avoiding the zero loci of the polynomials
RingElem[2, 3, 5]