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