The realization space is
  [1   0   1   1   0   1    1    0    1   2]
  [0   1   1   0   0   1    2    2   -1   4]
  [0   0   0   1   1   1   -1   -1   -1   1]
in the integer ring
avoiding the zero loci of the polynomials
RingElem[3, 2, 5]