p=4 d=1 n=2: direct E_lat=1/48  direct E_iid=1/48  diff=0
p=4 d=1 n=3: direct E_lat=19/1620  direct E_iid=4/405  diff=1/540
p=4 d=1 n=4: direct E_lat=139/17280  direct E_iid=11/1920  diff=1/432
p=4 d=1 n=5: direct E_lat=31/5000  direct E_iid=7/1875  diff=37/15000
p=4 d=1 n=6: direct E_lat=647/129600  direct E_iid=17/6480  diff=307/129600
