The realization space is
  [1   0   1   1   0   1    0   2   1   2   2]
  [0   1   1   3   0   0    1   2   3   3   3]
  [0   0   0   0   1   1   -1   3   2   2   3]
in the integer ring
within the vanishing set of the ideal
32ZZ
avoiding the zero loci of the polynomials
RingElem[3, 2, 5]