p=4 NMAX=12 d=[10, 20]: 137 classes
phi computed (0.0 s)
sums done (0.0 s)
Remark 4.2(c): 4-sets {0<a<b<c}, c <= 64: 90 of 165 have phi_1 < 1/5
Remark 4.2(a),(b): triples with b <= 11 (55 sets): phi_1 != 1/4 in 0 classes; closed form of phi_2 fails in 0 classes
p=4 d=10 n=  1  E_lat = E_iid  E_lat=9.1423699466e-04  E_iid=9.1423699466e-04  ratio=1.000000  diff=0.000000e+00
p=4 d=10 n=  2  E_lat = E_iid  E_lat=1.1995342652e-04  E_iid=1.1995342652e-04  ratio=1.000000  diff=0.000000e+00
p=4 d=10 n=  3  E_lat > E_iid  E_lat=3.7231931743e-05  E_iid=3.7222882582e-05  ratio=1.000243  diff=9.049160e-09
p=4 d=10 n=  4  E_lat > E_iid  E_lat=1.6424246626e-05  E_iid=1.6412628863e-05  ratio=1.000708  diff=1.161776e-08
p=4 d=10 n=  5  E_lat > E_iid  E_lat=8.7791772489e-06  E_iid=8.7663893182e-06  ratio=1.001459  diff=1.278793e-08
p=4 d=10 n=  6  E_lat > E_iid  E_lat=5.2958440726e-06  E_iid=5.2832827884e-06  ratio=1.002378  diff=1.256128e-08
p=4 d=10 n=  7  E_lat > E_iid  E_lat=3.4716522636e-06  E_iid=3.4594154514e-06  ratio=1.003537  diff=1.223681e-08
p=4 d=10 n=  8  E_lat > E_iid  E_lat=2.4178074262e-06  E_iid=2.4061912448e-06  ratio=1.004828  diff=1.161618e-08
p=4 d=10 n=  9  E_lat > E_iid  E_lat=1.7632709510e-06  E_iid=1.7522089642e-06  ratio=1.006313  diff=1.106199e-08
p=4 d=10 n= 10  E_lat > E_iid  E_lat=1.3332285731e-06  E_iid=1.3227507524e-06  ratio=1.007921  diff=1.047782e-08
p=4 d=10 n= 11  E_lat > E_iid  E_lat=1.0378530107e-06  E_iid=1.0279047107e-06  ratio=1.009678  diff=9.948300e-09
p=4 d=10 n= 12  E_lat > E_iid  E_lat=8.2742510397e-07  E_iid=8.1801596497e-07  ratio=1.011502  diff=9.409139e-09
p=4 d=20 n=  1  E_lat = E_iid  E_lat=9.5253255312e-07  E_iid=9.5253255312e-07  ratio=1.000000  diff=0.000000e+00
p=4 d=20 n=  2  E_lat = E_iid  E_lat=1.1917343990e-07  E_iid=1.1917343990e-07  ratio=1.000000  diff=0.000000e+00
p=4 d=20 n=  3  E_lat > E_iid  E_lat=3.5342316031e-08  E_iid=3.5342314270e-08  ratio=1.000000  diff=1.761145e-15
p=4 d=20 n=  4  E_lat > E_iid  E_lat=1.4923400014e-08  E_iid=1.4923397678e-08  ratio=1.000000  diff=2.335867e-15
p=4 d=20 n=  5  E_lat > E_iid  E_lat=7.6476220260e-09  E_iid=7.6476193397e-09  ratio=1.000000  diff=2.686311e-15
p=4 d=20 n=  6  E_lat > E_iid  E_lat=4.4296665289e-09  E_iid=4.4296638127e-09  ratio=1.000001  diff=2.716114e-15
p=4 d=20 n=  7  E_lat > E_iid  E_lat=2.7920211846e-09  E_iid=2.7920185121e-09  ratio=1.000001  diff=2.672510e-15
p=4 d=20 n=  8  E_lat > E_iid  E_lat=1.8721067028e-09  E_iid=1.8721041323e-09  ratio=1.000001  diff=2.570490e-15
p=4 d=20 n=  9  E_lat > E_iid  E_lat=1.3160138339e-09  E_iid=1.3160113605e-09  ratio=1.000002  diff=2.473377e-15
p=4 d=20 n= 10  E_lat > E_iid  E_lat=9.6022960783e-10  E_iid=9.6022724790e-10  ratio=1.000002  diff=2.359933e-15
p=4 d=20 n= 11  E_lat > E_iid  E_lat=7.2207754411e-10  E_iid=7.2207529225e-10  ratio=1.000003  diff=2.251859e-15
p=4 d=20 n= 12  E_lat > E_iid  E_lat=5.5667875103e-10  E_iid=5.5667660884e-10  ratio=1.000004  diff=2.142188e-15
total time 0.0 s
