p=6 d=1 n=3: direct E_lat=353/81648  direct E_iid=59/20412  diff=13/9072
p=6 d=1 n=4: direct E_lat=1273/435456  direct E_iid=19/14336  diff=5567/3483648
p=6 d=1 n=5: direct E_lat=72751/32400000  direct E_iid=187/262500  diff=347689/226800000
