s=1, t=8: #conditions=60, dim S_t=45, rank=45, dim I(sZ)_t mod p = 0
s=2, t=16: #conditions=192, dim S_t=153, rank=153, dim I(sZ)_t mod p = 0
s=3, t=24: #conditions=396, dim S_t=325, rank=324, dim I(sZ)_t mod p = 1
