The realization space is
  [1   0   1   1   0   1    1    0   1    1]
  [0   1   1   2   0   0    0    1   1    2]
  [0   0   0   0   1   1   -2   -1   1   -2]
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]