The realization space is
  [1   0   1   1   1   0    1   1    1    0    1]
  [0   1   1   3   0   0    0   1    2    2    3]
  [0   0   0   0   1   1   -3   1   -1   -1   -3]
in the integer ring
avoiding the zero loci of the polynomials
RingElem[3, 2, 5, 7]