p=4 NMAX=120 d=[1, 2, 3, 4]: 142310 classes
phi computed (33.2 s)
sums done (35.1 s)
Remark 4.2(c): 4-sets {0<a<b<c}, c <= 64: 21630 of 41664 have phi_1 < 1/5
Remark 4.2(a),(b): triples with b <= 119 (7021 sets): phi_1 != 1/4 in 0 classes; closed form of phi_2 fails in 0 classes
p=4 d=1 n=  1  E_lat = E_iid  E_lat=6.6666666667e-02  E_iid=6.6666666667e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=1 n=  2  E_lat = E_iid  E_lat=2.0833333333e-02  E_iid=2.0833333333e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=1 n=  3  E_lat > E_iid  E_lat=1.1728395062e-02  E_iid=9.8765432099e-03  ratio=1.187500  diff=1.851852e-03
p=4 d=1 n=  4  E_lat > E_iid  E_lat=8.0439814815e-03  E_iid=5.7291666667e-03  ratio=1.404040  diff=2.314815e-03
p=4 d=1 n=  5  E_lat > E_iid  E_lat=6.2000000000e-03  E_iid=3.7333333333e-03  ratio=1.660714  diff=2.466667e-03
p=4 d=1 n=  6  E_lat > E_iid  E_lat=4.9922839506e-03  E_iid=2.6234567901e-03  ratio=1.902941  diff=2.368827e-03
p=4 d=1 n=  7  E_lat > E_iid  E_lat=4.2314621994e-03  E_iid=1.9436345967e-03  ratio=2.177087  diff=2.287828e-03
p=4 d=1 n=  8  E_lat > E_iid  E_lat=3.6457093254e-03  E_iid=1.4973958333e-03  ratio=2.434700  diff=2.148313e-03
p=4 d=1 n=  9  E_lat > E_iid  E_lat=3.2167845038e-03  E_iid=1.1888431642e-03  ratio=2.705811  diff=2.027941e-03
p=4 d=1 n= 10  E_lat > E_iid  E_lat=2.8753133661e-03  E_iid=9.6666666667e-04  ratio=2.974462  diff=1.908647e-03
p=4 d=1 n= 11  E_lat > E_iid  E_lat=2.6056743338e-03  E_iid=8.0140245430e-04  ratio=3.251393  diff=1.804272e-03
p=4 d=1 n= 12  E_lat > E_iid  E_lat=2.3730337276e-03  E_iid=6.7515432099e-04  ratio=3.514802  diff=1.697879e-03
p=4 d=1 n= 13  E_lat > E_iid  E_lat=2.1894029973e-03  E_iid=5.7654377181e-04  ratio=3.797462  diff=1.612859e-03
p=4 d=1 n= 14  E_lat > E_iid  E_lat=2.0262122535e-03  E_iid=4.9805636540e-04  ratio=4.068239  diff=1.528156e-03
p=4 d=1 n= 15  E_lat > E_iid  E_lat=1.8869472479e-03  E_iid=4.3456790123e-04  ratio=4.342123  diff=1.452379e-03
p=4 d=1 n= 16  E_lat > E_iid  E_lat=1.7658263373e-03  E_iid=3.8248697917e-04  ratio=4.616697  diff=1.383339e-03
p=4 d=1 n= 17  E_lat > E_iid  E_lat=1.6613392587e-03  E_iid=3.3923604044e-04  ratio=4.897296  diff=1.322103e-03
p=4 d=1 n= 18  E_lat > E_iid  E_lat=1.5656323937e-03  E_iid=3.0292638317e-04  ratio=5.168359  diff=1.262706e-03
p=4 d=1 n= 19  E_lat > E_iid  E_lat=1.4829077173e-03  E_iid=2.7214851533e-04  ratio=5.448891  diff=1.210759e-03
p=4 d=1 n= 20  E_lat > E_iid  E_lat=1.4063812040e-03  E_iid=2.4583333333e-04  ratio=5.720873  diff=1.160548e-03
p=4 d=1 n= 21  E_lat > E_iid  E_lat=1.3388968139e-03  E_iid=2.2315804629e-04  ratio=5.999769  diff=1.115739e-03
p=4 d=1 n= 22  E_lat > E_iid  E_lat=1.2773888598e-03  E_iid=2.0348109191e-04  ratio=6.277678  diff=1.073908e-03
p=4 d=1 n= 23  E_lat > E_iid  E_lat=1.2214337859e-03  E_iid=1.8629626586e-04  ratio=6.556405  diff=1.035138e-03
p=4 d=1 n= 24  E_lat > E_iid  E_lat=1.1689424648e-03  E_iid=1.7119984568e-04  ratio=6.827941  diff=9.977426e-04
p=4 d=1 n= 25  E_lat > E_iid  E_lat=1.1223620799e-03  E_iid=1.5786666667e-04  ratio=7.109557  diff=9.644954e-04
p=4 d=1 n= 26  E_lat > E_iid  E_lat=1.0786953180e-03  E_iid=1.4603246852e-04  ratio=7.386681  diff=9.326628e-04
p=4 d=1 n= 27  E_lat > E_iid  E_lat=1.0383572904e-03  E_iid=1.3548070247e-04  ratio=7.664245  diff=9.028766e-04
p=4 d=1 n= 28  E_lat > E_iid  E_lat=1.0007617954e-03  E_iid=1.2603255588e-04  ratio=7.940502  diff=8.747292e-04
p=4 d=1 n= 29  E_lat > E_iid  E_lat=9.6623617325e-04  E_iid=1.1753932784e-04  ratio=8.220535  diff=8.486968e-04
p=4 d=1 n= 30  E_lat > E_iid  E_lat=9.3337758813e-04  E_iid=1.0987654321e-04  ratio=8.494785  diff=8.235010e-04
p=4 d=1 n= 31  E_lat > E_iid  E_lat=9.0343030548e-04  E_iid=1.0293936648e-04  ratio=8.776334  diff=8.004909e-04
p=4 d=1 n= 32  E_lat > E_iid  E_lat=8.7482137951e-04  E_iid=9.6638997396e-05  ratio=9.052467  diff=7.781824e-04
p=4 d=1 n= 33  E_lat > E_iid  E_lat=8.4822619449e-04  E_iid=9.0899815418e-05  ratio=9.331440  diff=7.573264e-04
p=4 d=1 n= 34  E_lat > E_iid  E_lat=8.2309109560e-04  E_iid=8.5657100210e-05  ratio=9.609140  diff=7.374340e-04
p=4 d=1 n= 35  E_lat > E_iid  E_lat=7.9941864480e-04  E_iid=8.0855199223e-05  ratio=9.887041  diff=7.185634e-04
p=4 d=1 n= 36  E_lat > E_iid  E_lat=7.7688897130e-04  E_iid=7.6446044810e-05  ratio=10.162579  diff=7.004429e-04
p=4 d=1 n= 37  E_lat > E_iid  E_lat=7.5607621470e-04  E_iid=7.2387946749e-05  ratio=10.444781  diff=6.836883e-04
p=4 d=1 n= 38  E_lat > E_iid  E_lat=7.3603537368e-04  E_iid=6.8644603198e-05  ratio=10.722407  diff=6.673908e-04
p=4 d=1 n= 39  E_lat > E_iid  E_lat=7.1703594992e-04  E_iid=6.5184286092e-05  ratio=11.000135  diff=6.518517e-04
p=4 d=1 n= 40  E_lat > E_iid  E_lat=6.9891979027e-04  E_iid=6.1979166667e-05  ratio=11.276689  diff=6.369406e-04
p=4 d=1 n= 41  E_lat > E_iid  E_lat=6.8192623539e-04  E_iid=5.9004754236e-05  ratio=11.557141  diff=6.229215e-04
p=4 d=1 n= 42  E_lat > E_iid  E_lat=6.6550695059e-04  E_iid=5.6239426988e-05  ratio=11.833459  diff=6.092675e-04
p=4 d=1 n= 43  E_lat > E_iid  E_lat=6.5009488491e-04  E_iid=5.3664037967e-05  ratio=12.114163  diff=5.964308e-04
p=4 d=1 n= 44  E_lat > E_iid  E_lat=6.3517875058e-04  E_iid=5.1261582770e-05  ratio=12.390931  diff=5.839172e-04
p=4 d=1 n= 45  E_lat > E_iid  E_lat=6.2102173099e-04  E_iid=4.9016918153e-05  ratio=12.669538  diff=5.720048e-04
p=4 d=1 n= 46  E_lat > E_iid  E_lat=6.0750557987e-04  E_iid=4.6916522835e-05  ratio=12.948649  diff=5.605891e-04
p=4 d=1 n= 47  E_lat > E_iid  E_lat=5.9456723387e-04  E_iid=4.4948293410e-05  ratio=13.227804  diff=5.496189e-04
p=4 d=1 n= 48  E_lat > E_iid  E_lat=5.8201333837e-04  E_iid=4.3101369599e-05  ratio=13.503361  diff=5.389120e-04
p=4 d=1 n= 49  E_lat > E_iid  E_lat=5.7018866476e-04  E_iid=4.1365984128e-05  ratio=13.783999  diff=5.288227e-04
p=4 d=1 n= 50  E_lat > E_iid  E_lat=5.5872265832e-04  E_iid=3.9733333333e-05  ratio=14.061812  diff=5.189893e-04
p=4 d=1 n= 51  E_lat > E_iid  E_lat=5.4776041004e-04  E_iid=3.8195465294e-05  ratio=14.340980  diff=5.095649e-04
p=4 d=1 n= 52  E_lat > E_iid  E_lat=5.3718287318e-04  E_iid=3.6745182825e-05  ratio=14.619137  diff=5.004377e-04
p=4 d=1 n= 53  E_lat > E_iid  E_lat=5.2705792019e-04  E_iid=3.5375959125e-05  ratio=14.898760  diff=4.916820e-04
p=4 d=1 n= 54  E_lat > E_iid  E_lat=5.1719850752e-04  E_iid=3.4081864214e-05  ratio=15.175182  diff=4.831166e-04
p=4 d=1 n= 55  E_lat > E_iid  E_lat=5.0780259837e-04  E_iid=3.2857500626e-05  ratio=15.454693  diff=4.749451e-04
p=4 d=1 n= 56  E_lat > E_iid  E_lat=4.9868365530e-04  E_iid=3.1697947036e-05  ratio=15.732364  diff=4.669857e-04
p=4 d=1 n= 57  E_lat > E_iid  E_lat=4.8995356550e-04  E_iid=3.0598708734e-05  ratio=16.012230  diff=4.593549e-04
p=4 d=1 n= 58  E_lat > E_iid  E_lat=4.8149618909e-04  E_iid=2.9555674006e-05  ratio=16.291159  diff=4.519405e-04
p=4 d=1 n= 59  E_lat > E_iid  E_lat=4.7332590782e-04  E_iid=2.8565075624e-05  ratio=16.570091  diff=4.447608e-04
p=4 d=1 n= 60  E_lat > E_iid  E_lat=4.6534888479e-04  E_iid=2.7623456790e-05  ratio=16.846150  diff=4.377254e-04
p=4 d=1 n= 61  E_lat > E_iid  E_lat=4.5776731099e-04  E_iid=2.6727640933e-05  ratio=17.127112  diff=4.310397e-04
p=4 d=1 n= 62  E_lat > E_iid  E_lat=4.5035667295e-04  E_iid=2.5874704889e-05  ratio=17.405287  diff=4.244820e-04
p=4 d=1 n= 63  E_lat > E_iid  E_lat=4.4318196126e-04  E_iid=2.5061955019e-05  ratio=17.683455  diff=4.181200e-04
p=4 d=1 n= 64  E_lat > E_iid  E_lat=4.3623073111e-04  E_iid=2.4286905924e-05  ratio=17.961561  diff=4.119438e-04
p=4 d=1 n= 65  E_lat > E_iid  E_lat=4.2952733949e-04  E_iid=2.3547261417e-05  ratio=18.241074  diff=4.059801e-04
p=4 d=1 n= 66  E_lat > E_iid  E_lat=4.2298966652e-04  E_iid=2.2840897497e-05  ratio=18.518960  diff=4.001488e-04
p=4 d=1 n= 67  E_lat > E_iid  E_lat=4.1670141282e-04  E_iid=2.2165847084e-05  ratio=18.799255  diff=3.945356e-04
p=4 d=1 n= 68  E_lat > E_iid  E_lat=4.1054276693e-04  E_iid=2.1520286315e-05  ratio=19.077012  diff=3.890225e-04
p=4 d=1 n= 69  E_lat > E_iid  E_lat=4.0458507220e-04  E_iid=2.0902522204e-05  ratio=19.355802  diff=3.836826e-04
p=4 d=1 n= 70  E_lat > E_iid  E_lat=3.9878179266e-04  E_iid=2.0310981535e-05  ratio=19.633802  diff=3.784708e-04
p=4 d=1 n= 71  E_lat > E_iid  E_lat=3.9317220561e-04  E_iid=1.9744200840e-05  ratio=19.913301  diff=3.734280e-04
p=4 d=1 n= 72  E_lat > E_iid  E_lat=3.8767226613e-04  E_iid=1.9200817330e-05  ratio=20.190404  diff=3.684714e-04
p=4 d=1 n= 73  E_lat > E_iid  E_lat=3.8239164908e-04  E_iid=1.8679560705e-05  ratio=20.471126  diff=3.637121e-04
p=4 d=1 n= 74  E_lat > E_iid  E_lat=3.7721050573e-04  E_iid=1.8179245718e-05  ratio=20.749514  diff=3.590313e-04
p=4 d=1 n= 75  E_lat > E_iid  E_lat=3.7216751880e-04  E_iid=1.7698765432e-05  ratio=21.027880  diff=3.544688e-04
p=4 d=1 n= 76  E_lat > E_iid  E_lat=3.6725893478e-04  E_iid=1.7237085095e-05  ratio=21.306325  diff=3.500218e-04
p=4 d=1 n= 77  E_lat > E_iid  E_lat=3.6249338167e-04  E_iid=1.6793236560e-05  ratio=21.585677  diff=3.457001e-04
p=4 d=1 n= 78  E_lat > E_iid  E_lat=3.5782341341e-04  E_iid=1.6366313210e-05  ratio=21.863410  diff=3.414571e-04
p=4 d=1 n= 79  E_lat > E_iid  E_lat=3.5330372919e-04  E_iid=1.5955465322e-05  ratio=22.143117  diff=3.373483e-04
p=4 d=1 n= 80  E_lat > E_iid  E_lat=3.4886334506e-04  E_iid=1.5559895833e-05  ratio=22.420674  diff=3.333034e-04
p=4 d=1 n= 81  E_lat > E_iid  E_lat=3.4456344199e-04  E_iid=1.5178856480e-05  ratio=22.700224  diff=3.293846e-04
p=4 d=1 n= 82  E_lat > E_iid  E_lat=3.4036136621e-04  E_iid=1.4811644250e-05  ratio=22.979310  diff=3.255497e-04
p=4 d=1 n= 83  E_lat > E_iid  E_lat=3.3626026246e-04  E_iid=1.4457598138e-05  ratio=23.258377  diff=3.218027e-04
p=4 d=1 n= 84  E_lat > E_iid  E_lat=3.3222790169e-04  E_iid=1.4116096174e-05  ratio=23.535395  diff=3.181118e-04
p=4 d=1 n= 85  E_lat > E_iid  E_lat=3.2833357275e-04  E_iid=1.3786552683e-05  ratio=23.815495  diff=3.145470e-04
p=4 d=1 n= 86  E_lat > E_iid  E_lat=3.2451204798e-04  E_iid=1.3468415779e-05  ratio=24.094300  diff=3.110436e-04
p=4 d=1 n= 87  E_lat > E_iid  E_lat=3.2077814031e-04  E_iid=1.3161165047e-05  ratio=24.373081  diff=3.076170e-04
p=4 d=1 n= 88  E_lat > E_iid  E_lat=3.1712089277e-04  E_iid=1.2864309416e-05  ratio=24.651218  diff=3.042566e-04
p=4 d=1 n= 89  E_lat > E_iid  E_lat=3.1356049085e-04  E_iid=1.2577385199e-05  ratio=24.930499  diff=3.009831e-04
p=4 d=1 n= 90  E_lat > E_iid  E_lat=3.1005564948e-04  E_iid=1.2299954275e-05  ratio=25.207870  diff=2.977557e-04
p=4 d=1 n= 91  E_lat > E_iid  E_lat=3.0666030420e-04  E_iid=1.2031602419e-05  ratio=25.487902  diff=2.946287e-04
p=4 d=1 n= 92  E_lat > E_iid  E_lat=3.0332185608e-04  E_iid=1.1771937755e-05  ratio=25.766519  diff=2.915499e-04
p=4 d=1 n= 93  E_lat > E_iid  E_lat=3.0006357130e-04  E_iid=1.1520589324e-05  ratio=26.045853  diff=2.885430e-04
p=4 d=1 n= 94  E_lat > E_iid  E_lat=2.9686765670e-04  E_iid=1.1277205757e-05  ratio=26.324576  diff=2.855905e-04
p=4 d=1 n= 95  E_lat > E_iid  E_lat=2.9373889677e-04  E_iid=1.1041454051e-05  ratio=26.603280  diff=2.826974e-04
p=4 d=1 n= 96  E_lat > E_iid  E_lat=2.9066278448e-04  E_iid=1.0813018422e-05  ratio=26.880818  diff=2.798498e-04
p=4 d=1 n= 97  E_lat > E_iid  E_lat=2.8767733423e-04  E_iid=1.0591599255e-05  ratio=27.160897  diff=2.770857e-04
p=4 d=1 n= 98  E_lat > E_iid  E_lat=2.8473438312e-04  E_iid=1.0376912114e-05  ratio=27.439221  diff=2.743575e-04
p=4 d=1 n= 99  E_lat > E_iid  E_lat=2.8185477865e-04  E_iid=1.0168686834e-05  ratio=27.717913  diff=2.716861e-04
p=4 d=1 n=100  E_lat > E_iid  E_lat=2.7903041979e-04  E_iid=9.9666666667e-06  ratio=27.996363  diff=2.690638e-04
p=4 d=1 n=101  E_lat > E_iid  E_lat=2.7627541396e-04  E_iid=9.7706074891e-06  ratio=28.276176  diff=2.665048e-04
p=4 d=1 n=102  E_lat > E_iid  E_lat=2.7355810769e-04  E_iid=9.5802770679e-06  ratio=28.554300  diff=2.639778e-04
p=4 d=1 n=103  E_lat > E_iid  E_lat=2.7090736906e-04  E_iid=9.3954543694e-06  ratio=28.833876  diff=2.615119e-04
p=4 d=1 n=104  E_lat > E_iid  E_lat=2.6829229567e-04  E_iid=9.2159289182e-06  ratio=29.111802  diff=2.590764e-04
p=4 d=1 n=105  E_lat > E_iid  E_lat=2.6573551825e-04  E_iid=9.0415001980e-06  ratio=29.390645  diff=2.566940e-04
p=4 d=1 n=106  E_lat > E_iid  E_lat=2.6323029321e-04  E_iid=8.8719770907e-06  ratio=29.669857  diff=2.543583e-04
p=4 d=1 n=107  E_lat > E_iid  E_lat=2.6077167246e-04  E_iid=8.7071773535e-06  ratio=29.949048  diff=2.520645e-04
p=4 d=1 n=108  E_lat > E_iid  E_lat=2.5834496584e-04  E_iid=8.5469271283e-06  ratio=30.226649  diff=2.497980e-04
p=4 d=1 n=109  E_lat > E_iid  E_lat=2.5598168685e-04  E_iid=8.3910604833e-06  ratio=30.506476  diff=2.475906e-04
p=4 d=1 n=110  E_lat > E_iid  E_lat=2.5364838964e-04  E_iid=8.2394189832e-06  ratio=30.784742  diff=2.454090e-04
p=4 d=1 n=111  E_lat > E_iid  E_lat=2.5136325597e-04  E_iid=8.0918512864e-06  ratio=31.063751  diff=2.432714e-04
p=4 d=1 n=112  E_lat > E_iid  E_lat=2.4911482556e-04  E_iid=7.9482127672e-06  ratio=31.342244  diff=2.411666e-04
p=4 d=1 n=113  E_lat > E_iid  E_lat=2.4691521189e-04  E_iid=7.8083651617e-06  ratio=31.621883  diff=2.391068e-04
p=4 d=1 n=114  E_lat > E_iid  E_lat=2.4474252548e-04  E_iid=7.6721762342e-06  ratio=31.900014  diff=2.370703e-04
p=4 d=1 n=115  E_lat > E_iid  E_lat=2.4261741872e-04  E_iid=7.5395194652e-06  ratio=32.179427  diff=2.350779e-04
p=4 d=1 n=116  E_lat > E_iid  E_lat=2.4052163892e-04  E_iid=7.4102737573e-06  ratio=32.457861  diff=2.331114e-04
p=4 d=1 n=117  E_lat > E_iid  E_lat=2.3846581575e-04  E_iid=7.2843231584e-06  ratio=32.736853  diff=2.311815e-04
p=4 d=1 n=118  E_lat > E_iid  E_lat=2.3644311337e-04  E_iid=7.1615566019e-06  ratio=33.015604  diff=2.292816e-04
p=4 d=1 n=119  E_lat > E_iid  E_lat=2.3445430424e-04  E_iid=7.0418676615e-06  ratio=33.294335  diff=2.274124e-04
p=4 d=1 n=120  E_lat > E_iid  E_lat=2.3249096763e-04  E_iid=6.9251543210e-06  ratio=33.571955  diff=2.255658e-04
p=4 d=2 n=  1  E_lat = E_iid  E_lat=6.0555555556e-02  E_iid=6.0555555556e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=2 n=  2  E_lat = E_iid  E_lat=1.7361111111e-02  E_iid=1.7361111111e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=2 n=  3  E_lat > E_iid  E_lat=8.7821502058e-03  E_iid=8.0452674897e-03  ratio=1.091592  diff=7.368827e-04
p=4 d=2 n=  4  E_lat > E_iid  E_lat=5.5417934814e-03  E_iid=4.6180555556e-03  ratio=1.200027  diff=9.237379e-04
p=4 d=2 n=  5  E_lat > E_iid  E_lat=3.9787229938e-03  E_iid=2.9911111111e-03  ratio=1.330182  diff=9.876119e-04
p=4 d=2 n=  6  E_lat > E_iid  E_lat=3.0442960577e-03  E_iid=2.0936213992e-03  ratio=1.454081  diff=9.506747e-04
p=4 d=2 n=  7  E_lat > E_iid  E_lat=2.4658392161e-03  E_iid=1.5468091999e-03  ratio=1.594146  diff=9.190300e-04
p=4 d=2 n=  8  E_lat > E_iid  E_lat=2.0532253682e-03  E_iid=1.1892361111e-03  ratio=1.726508  diff=8.639893e-04
p=4 d=2 n=  9  E_lat > E_iid  E_lat=1.7590436379e-03  E_iid=9.4269166286e-04  ratio=1.865980  diff=8.163520e-04
p=4 d=2 n= 10  E_lat > E_iid  E_lat=1.5344202847e-03  E_iid=7.6555555556e-04  ratio=2.004323  diff=7.688647e-04
p=4 d=2 n= 11  E_lat > E_iid  E_lat=1.3611938945e-03  E_iid=6.3402621254e-04  ratio=2.146905  diff=7.271677e-04
p=4 d=2 n= 12  E_lat > E_iid  E_lat=1.2183601077e-03  E_iid=5.3369341564e-04  ratio=2.282884  diff=6.846667e-04
p=4 d=2 n= 13  E_lat > E_iid  E_lat=1.1060310887e-03  E_iid=4.5541900571e-04  ratio=2.428601  diff=6.506121e-04
p=4 d=2 n= 14  E_lat > E_iid  E_lat=1.0098668811e-03  E_iid=3.9318108196e-04  ratio=2.568452  diff=6.166858e-04
p=4 d=2 n= 15  E_lat > E_iid  E_lat=9.2917237462e-04  E_iid=3.4288065844e-04  ratio=2.709900  diff=5.862917e-04
p=4 d=2 n= 16  E_lat > E_iid  E_lat=8.6020295865e-04  E_iid=3.0164930556e-04  ratio=2.851666  diff=5.585537e-04
p=4 d=2 n= 17  E_lat > E_iid  E_lat=8.0137399568e-04  E_iid=2.6743107854e-04  ratio=2.996563  diff=5.339429e-04
p=4 d=2 n= 18  E_lat > E_iid  E_lat=7.4879883201e-04  E_iid=2.3872123152e-04  ratio=3.136708  diff=5.100776e-04
p=4 d=2 n= 19  E_lat > E_iid  E_lat=7.0357767949e-04  E_iid=2.1439795241e-04  ratio=3.281644  diff=4.891797e-04
p=4 d=2 n= 20  E_lat > E_iid  E_lat=6.6259599341e-04  E_iid=1.9361111111e-04  ratio=3.422304  diff=4.689849e-04
p=4 d=2 n= 21  E_lat > E_iid  E_lat=6.2665360771e-04  E_iid=1.7570696709e-04  ratio=3.566470  diff=4.509466e-04
p=4 d=2 n= 22  E_lat > E_iid  E_lat=5.9427256330e-04  E_iid=1.6017614158e-04  ratio=3.710119  diff=4.340964e-04
p=4 d=2 n= 23  E_lat > E_iid  E_lat=5.6509256146e-04  E_iid=1.4661698766e-04  ratio=3.854209  diff=4.184756e-04
p=4 d=2 n= 24  E_lat > E_iid  E_lat=5.3812213646e-04  E_iid=1.3470936214e-04  ratio=3.994690  diff=4.034128e-04
p=4 d=2 n= 25  E_lat > E_iid  E_lat=5.1420567101e-04  E_iid=1.2419555556e-04  ratio=4.140290  diff=3.900101e-04
p=4 d=2 n= 26  E_lat > E_iid  E_lat=4.9204306816e-04  E_iid=1.1486623173e-04  ratio=4.283618  diff=3.771768e-04
p=4 d=2 n= 27  E_lat > E_iid  E_lat=4.7171607218e-04  E_iid=1.0654992746e-04  ratio=4.427183  diff=3.651661e-04
p=4 d=2 n= 28  E_lat > E_iid  E_lat=4.5291870893e-04  E_iid=9.9105118238e-05  ratio=4.570084  diff=3.538136e-04
p=4 d=2 n= 29  E_lat > E_iid  E_lat=4.3572436577e-04  E_iid=9.2414157566e-05  ratio=4.714909  diff=3.433102e-04
p=4 d=2 n= 30  E_lat > E_iid  E_lat=4.1952511865e-04  E_iid=8.6378600823e-05  ratio=4.856818  diff=3.331465e-04
p=4 d=2 n= 31  E_lat > E_iid  E_lat=4.0477359609e-04  E_iid=8.0915563612e-05  ratio=5.002420  diff=3.238580e-04
p=4 d=2 n= 32  E_lat > E_iid  E_lat=3.9080959302e-04  E_iid=7.5954861111e-05  ratio=5.145287  diff=3.148547e-04
p=4 d=2 n= 33  E_lat > E_iid  E_lat=3.7787282370e-04  E_iid=7.1436742695e-05  ratio=5.289614  diff=3.064361e-04
p=4 d=2 n= 34  E_lat > E_iid  E_lat=3.6571513357e-04  E_iid=6.7310084357e-05  ratio=5.433289  diff=2.984050e-04
p=4 d=2 n= 35  E_lat > E_iid  E_lat=3.5431683722e-04  E_iid=6.3530936184e-05  ratio=5.577076  diff=2.907859e-04
p=4 d=2 n= 36  E_lat > E_iid  E_lat=3.4353011038e-04  E_iid=6.0061347356e-05  ratio=5.719654  diff=2.834688e-04
p=4 d=2 n= 37  E_lat > E_iid  E_lat=3.3356861355e-04  E_iid=5.6868409681e-05  ratio=5.865622  diff=2.767002e-04
p=4 d=2 n= 38  E_lat > E_iid  E_lat=3.2404102132e-04  E_iid=5.3923474429e-05  ratio=6.009276  diff=2.701175e-04
p=4 d=2 n= 39  E_lat > E_iid  E_lat=3.1504233222e-04  E_iid=5.1201507480e-05  ratio=6.152989  diff=2.638408e-04
p=4 d=2 n= 40  E_lat > E_iid  E_lat=3.0649769644e-04  E_iid=4.8680555556e-05  ratio=6.296101  diff=2.578171e-04
p=4 d=2 n= 41  E_lat > E_iid  E_lat=2.9849347327e-04  E_iid=4.6341302199e-05  ratio=6.441197  diff=2.521522e-04
p=4 d=2 n= 42  E_lat > E_iid  E_lat=2.9080233522e-04  E_iid=4.4166696661e-05  ratio=6.584199  diff=2.466356e-04
p=4 d=2 n= 43  E_lat > E_iid  E_lat=2.8358910521e-04  E_iid=4.2141642315e-05  ratio=6.729427  diff=2.414475e-04
p=4 d=2 n= 44  E_lat > E_iid  E_lat=2.7664334687e-04  E_iid=4.0252733951e-05  ratio=6.872660  diff=2.363906e-04
p=4 d=2 n= 45  E_lat > E_iid  E_lat=2.7006414618e-04  E_iid=3.8488035360e-05  ratio=7.016834  diff=2.315761e-04
p=4 d=2 n= 46  E_lat > E_iid  E_lat=2.6379832902e-04  E_iid=3.6836890314e-05  ratio=7.161254  diff=2.269614e-04
p=4 d=2 n= 47  E_lat > E_iid  E_lat=2.5781657356e-04  E_iid=3.5289761314e-05  ratio=7.305705  diff=2.225268e-04
p=4 d=2 n= 48  E_lat > E_iid  E_lat=2.5203723998e-04  E_iid=3.3838091564e-05  ratio=7.448329  diff=2.181991e-04
p=4 d=2 n= 49  E_lat > E_iid  E_lat=2.4659412425e-04  E_iid=3.2474186398e-05  ratio=7.593543  diff=2.141199e-04
p=4 d=2 n= 50  E_lat > E_iid  E_lat=2.4133557253e-04  E_iid=3.1191111111e-05  ratio=7.737319  diff=2.101445e-04
p=4 d=2 n= 51  E_lat > E_iid  E_lat=2.3631641757e-04  E_iid=2.9982602636e-05  ratio=7.881785  diff=2.063338e-04
p=4 d=2 n= 52  E_lat > E_iid  E_lat=2.3148616349e-04  E_iid=2.8842992970e-05  ratio=8.025733  diff=2.026432e-04
p=4 d=2 n= 53  E_lat > E_iid  E_lat=2.2686955404e-04  E_iid=2.7767142600e-05  ratio=8.170432  diff=1.991024e-04
p=4 d=2 n= 54  E_lat > E_iid  E_lat=2.2238945633e-04  E_iid=2.6750382451e-05  ratio=8.313506  diff=1.956391e-04
p=4 d=2 n= 55  E_lat > E_iid  E_lat=2.1812274983e-04  E_iid=2.5788463144e-05  ratio=8.458152  diff=1.923343e-04
p=4 d=2 n= 56  E_lat > E_iid  E_lat=2.1399284096e-04  E_iid=2.4877510528e-05  ratio=8.601859  diff=1.891153e-04
p=4 d=2 n= 57  E_lat > E_iid  E_lat=2.1004280009e-04  E_iid=2.4013986610e-05  ratio=8.746686  diff=1.860288e-04
p=4 d=2 n= 58  E_lat > E_iid  E_lat=2.0622446136e-04  E_iid=2.3194655150e-05  ratio=8.891034  diff=1.830298e-04
p=4 d=2 n= 59  E_lat > E_iid  E_lat=2.0254223421e-04  E_iid=2.2416551297e-05  ratio=9.035388  diff=1.801257e-04
p=4 d=2 n= 60  E_lat > E_iid  E_lat=1.9895718159e-04  E_iid=2.1676954733e-05  ratio=9.178281  diff=1.772802e-04
p=4 d=2 n= 61  E_lat > E_iid  E_lat=1.9554875257e-04  E_iid=2.0973365857e-05  ratio=9.323671  diff=1.745754e-04
p=4 d=2 n= 62  E_lat > E_iid  E_lat=1.9222613044e-04  E_iid=2.0303484647e-05  ratio=9.467642  diff=1.719226e-04
p=4 d=2 n= 63  E_lat > E_iid  E_lat=1.8901424386e-04  E_iid=1.9665191833e-05  ratio=9.611615  diff=1.693491e-04
p=4 d=2 n= 64  E_lat > E_iid  E_lat=1.8590694405e-04  E_iid=1.9056532118e-05  ratio=9.755550  diff=1.668504e-04
p=4 d=2 n= 65  E_lat > E_iid  E_lat=1.8291324215e-04  E_iid=1.8475699186e-05  ratio=9.900207  diff=1.644375e-04
p=4 d=2 n= 66  E_lat > E_iid  E_lat=1.7999932148e-04  E_iid=1.7921022283e-05  ratio=10.044032  diff=1.620783e-04
p=4 d=2 n= 67  E_lat > E_iid  E_lat=1.7719790537e-04  E_iid=1.7390954192e-05  ratio=10.189085  diff=1.598070e-04
p=4 d=2 n= 68  E_lat > E_iid  E_lat=1.7446039949e-04  E_iid=1.6884060429e-05  ratio=10.332846  diff=1.575763e-04
p=4 d=2 n= 69  E_lat > E_iid  E_lat=1.7181466837e-04  E_iid=1.6399009532e-05  ratio=10.477137  diff=1.554157e-04
p=4 d=2 n= 70  E_lat > E_iid  E_lat=1.6924139107e-04  E_iid=1.5934564302e-05  ratio=10.621024  diff=1.533068e-04
p=4 d=2 n= 71  E_lat > E_iid  E_lat=1.6675568582e-04  E_iid=1.5489573913e-05  ratio=10.765673  diff=1.512661e-04
p=4 d=2 n= 72  E_lat > E_iid  E_lat=1.6432345555e-04  E_iid=1.5062966773e-05  ratio=10.909103  diff=1.492605e-04
p=4 d=2 n= 73  E_lat > E_iid  E_lat=1.6198803644e-04  E_iid=1.4653744067e-05  ratio=11.054379  diff=1.473343e-04
p=4 d=2 n= 74  E_lat > E_iid  E_lat=1.5970102770e-04  E_iid=1.4260973903e-05  ratio=11.198466  diff=1.454401e-04
p=4 d=2 n= 75  E_lat > E_iid  E_lat=1.5747747137e-04  E_iid=1.3883786008e-05  ratio=11.342545  diff=1.435937e-04
p=4 d=2 n= 76  E_lat > E_iid  E_lat=1.5531534910e-04  E_iid=1.3521366898e-05  ratio=11.486660  diff=1.417940e-04
p=4 d=2 n= 77  E_lat > E_iid  E_lat=1.5321781998e-04  E_iid=1.3172955490e-05  ratio=11.631241  diff=1.400449e-04
p=4 d=2 n= 78  E_lat > E_iid  E_lat=1.5116548462e-04  E_iid=1.2837839103e-05  ratio=11.774994  diff=1.383276e-04
p=4 d=2 n= 79  E_lat > E_iid  E_lat=1.4917989625e-04  E_iid=1.2515349811e-05  ratio=11.919754  diff=1.366645e-04
p=4 d=2 n= 80  E_lat > E_iid  E_lat=1.4723235958e-04  E_iid=1.2204861111e-05  ratio=12.063420  diff=1.350275e-04
p=4 d=2 n= 81  E_lat > E_iid  E_lat=1.4534703408e-04  E_iid=1.1905784880e-05  ratio=12.208102  diff=1.334412e-04
p=4 d=2 n= 82  E_lat > E_iid  E_lat=1.4350654779e-04  E_iid=1.1617568585e-05  ratio=12.352546  diff=1.318890e-04
p=4 d=2 n= 83  E_lat > E_iid  E_lat=1.4171194144e-04  E_iid=1.1339692733e-05  ratio=12.496982  diff=1.303722e-04
p=4 d=2 n= 84  E_lat > E_iid  E_lat=1.3995005173e-04  E_iid=1.1071668526e-05  ratio=12.640376  diff=1.288784e-04
p=4 d=2 n= 85  E_lat > E_iid  E_lat=1.3824833626e-04  E_iid=1.0813035710e-05  ratio=12.785340  diff=1.274353e-04
p=4 d=2 n= 86  E_lat > E_iid  E_lat=1.3658047220e-04  E_iid=1.0563360599e-05  ratio=12.929642  diff=1.260171e-04
p=4 d=2 n= 87  E_lat > E_iid  E_lat=1.3495221654e-04  E_iid=1.0322234253e-05  ratio=13.073935  diff=1.246300e-04
p=4 d=2 n= 88  E_lat > E_iid  E_lat=1.3335894731e-04  E_iid=1.0089270807e-05  ratio=13.217897  diff=1.232697e-04
p=4 d=2 n= 89  E_lat > E_iid  E_lat=1.3180858139e-04  E_iid=9.8641059236e-06  ratio=13.362446  diff=1.219445e-04
p=4 d=2 n= 90  E_lat > E_iid  E_lat=1.3028441506e-04  E_iid=9.6463953666e-06  ratio=13.506021  diff=1.206380e-04
p=4 d=2 n= 91  E_lat > E_iid  E_lat=1.2880783259e-04  E_iid=9.4358136865e-06  ratio=13.650951  diff=1.193720e-04
p=4 d=2 n= 92  E_lat > E_iid  E_lat=1.2735763614e-04  E_iid=9.2320530031e-06  ratio=13.795159  diff=1.181256e-04
p=4 d=2 n= 93  E_lat > E_iid  E_lat=1.2594301489e-04  E_iid=9.0348218791e-06  ratio=13.939734  diff=1.169082e-04
p=4 d=2 n= 94  E_lat > E_iid  E_lat=1.2455667574e-04  E_iid=8.8438442777e-06  ratio=14.083997  diff=1.157128e-04
p=4 d=2 n= 95  E_lat > E_iid  E_lat=1.2320042703e-04  E_iid=8.6588585962e-06  ratio=14.228253  diff=1.145416e-04
p=4 d=2 n= 96  E_lat > E_iid  E_lat=1.2186830475e-04  E_iid=8.4796167695e-06  ratio=14.371912  diff=1.133887e-04
p=4 d=2 n= 97  E_lat > E_iid  E_lat=1.2057541442e-04  E_iid=8.3058834386e-06  ratio=14.516868  diff=1.122695e-04
p=4 d=2 n= 98  E_lat > E_iid  E_lat=1.1930236742e-04  E_iid=8.1374351768e-06  ratio=14.660930  diff=1.111649e-04
p=4 d=2 n= 99  E_lat > E_iid  E_lat=1.1805739454e-04  E_iid=7.9740597715e-06  ratio=14.805181  diff=1.100833e-04
p=4 d=2 n=100  E_lat > E_iid  E_lat=1.1683712822e-04  E_iid=7.8155555556e-06  ratio=14.949306  diff=1.090216e-04
p=4 d=2 n=101  E_lat > E_iid  E_lat=1.1564713096e-04  E_iid=7.6617307844e-06  ratio=15.094126  diff=1.079854e-04
p=4 d=2 n=102  E_lat > E_iid  E_lat=1.1447464452e-04  E_iid=7.5124030560e-06  ratio=15.238086  diff=1.069622e-04
p=4 d=2 n=103  E_lat > E_iid  E_lat=1.1333112635e-04  E_iid=7.3673987698e-06  ratio=15.382787  diff=1.059637e-04
p=4 d=2 n=104  E_lat > E_iid  E_lat=1.1220412668e-04  E_iid=7.2265526223e-06  ratio=15.526646  diff=1.049776e-04
p=4 d=2 n=105  E_lat > E_iid  E_lat=1.1110262340e-04  E_iid=7.0897071351e-06  ratio=15.670975  diff=1.040129e-04
p=4 d=2 n=106  E_lat > E_iid  E_lat=1.1002380485e-04  E_iid=6.9567122151e-06  ratio=15.815489  diff=1.030671e-04
p=4 d=2 n=107  E_lat > E_iid  E_lat=1.0896565502e-04  E_iid=6.8274247426e-06  ratio=15.959994  diff=1.021382e-04
p=4 d=2 n=108  E_lat > E_iid  E_lat=1.0792221402e-04  E_iid=6.7017081859e-06  ratio=16.103687  diff=1.012205e-04
p=4 d=2 n=109  E_lat > E_iid  E_lat=1.0690602319e-04  E_iid=6.5794322409e-06  ratio=16.248518  diff=1.003266e-04
p=4 d=2 n=110  E_lat > E_iid  E_lat=1.0590363305e-04  E_iid=6.4604724935e-06  ratio=16.392552  diff=9.944316e-05
p=4 d=2 n=111  E_lat > E_iid  E_lat=1.0492225263e-04  E_iid=6.3447101025e-06  ratio=16.536966  diff=9.857754e-05
p=4 d=2 n=112  E_lat > E_iid  E_lat=1.0395723137e-04  E_iid=6.2320315031e-06  ratio=16.681115  diff=9.772520e-05
p=4 d=2 n=113  E_lat > E_iid  E_lat=1.0301336970e-04  E_iid=6.1223281280e-06  ratio=16.825849  diff=9.689104e-05
p=4 d=2 n=114  E_lat > E_iid  E_lat=1.0208185156e-04  E_iid=6.0154961461e-06  ratio=16.969814  diff=9.606636e-05
p=4 d=2 n=115  E_lat > E_iid  E_lat=1.0117088868e-04  E_iid=5.9114362164e-06  ratio=17.114435  diff=9.525945e-05
p=4 d=2 n=116  E_lat > E_iid  E_lat=1.0027311876e-04  E_iid=5.8100532572e-06  ratio=17.258554  diff=9.446307e-05
p=4 d=2 n=117  E_lat > E_iid  E_lat=9.9392762046e-05  E_iid=5.7112562287e-06  ratio=17.402960  diff=9.368151e-05
p=4 d=2 n=118  E_lat > E_iid  E_lat=9.8527019184e-05  E_iid=5.6149579287e-06  ratio=17.547241  diff=9.291206e-05
p=4 d=2 n=119  E_lat > E_iid  E_lat=9.7676172767e-05  E_iid=5.5210748000e-06  ratio=17.691514  diff=9.215510e-05
p=4 d=2 n=120  E_lat > E_iid  E_lat=9.6836796906e-05  E_iid=5.4295267490e-06  ratio=17.835219  diff=9.140727e-05
p=4 d=3 n=  1  E_lat = E_iid  E_lat=4.6601851852e-02  E_iid=4.6601851852e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=3 n=  2  E_lat = E_iid  E_lat=1.0995370370e-02  E_iid=1.0995370370e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=3 n=  3  E_lat > E_iid  E_lat=5.0096959662e-03  E_iid=4.7897805213e-03  ratio=1.045913  diff=2.199154e-04
p=4 d=3 n=  4  E_lat > E_iid  E_lat=2.9434326591e-03  E_iid=2.6669560185e-03  ratio=1.103667  diff=2.764766e-04
p=4 d=3 n=  5  E_lat > E_iid  E_lat=1.9929680817e-03  E_iid=1.6963703704e-03  ratio=1.174843  diff=2.965977e-04
p=4 d=3 n=  6  E_lat > E_iid  E_lat=1.4593712386e-03  E_iid=1.1731824417e-03  ratio=1.243942  diff=2.861888e-04
p=4 d=3 n=  7  E_lat > E_iid  E_lat=1.1363072802e-03  E_iid=8.5938343591e-04  ratio=1.322235  diff=2.769238e-04
p=4 d=3 n=  8  E_lat > E_iid  E_lat=9.1714758061e-04  E_iid=6.5650318287e-04  ratio=1.397019  diff=2.606444e-04
p=4 d=3 n=  9  E_lat > E_iid  E_lat=7.6432848500e-04  E_iid=5.1781994615e-04  ratio=1.476051  diff=2.465085e-04
p=4 d=3 n= 10  E_lat > E_iid  E_lat=6.5118339498e-04  E_iid=4.1885185185e-04  ratio=1.554687  diff=2.323315e-04
p=4 d=3 n= 11  E_lat > E_iid  E_lat=5.6560234831e-04  E_iid=3.4576481064e-04  ratio=1.635801  diff=2.198375e-04
p=4 d=3 n= 12  E_lat > E_iid  E_lat=4.9736625800e-04  E_iid=2.9026277435e-04  ratio=1.713503  diff=2.071035e-04
p=4 d=3 n= 13  E_lat > E_iid  E_lat=4.4399757335e-04  E_iid=2.4712571014e-04  ratio=1.796647  diff=1.968719e-04
p=4 d=3 n= 14  E_lat > E_iid  E_lat=3.9961540159e-04  E_iid=2.1293596804e-04  ratio=1.876693  diff=1.866794e-04
p=4 d=3 n= 15  E_lat > E_iid  E_lat=3.6291496751e-04  E_iid=1.8537997257e-04  ratio=1.957682  diff=1.775350e-04
p=4 d=3 n= 16  E_lat > E_iid  E_lat=3.3202189619e-04  E_iid=1.6284631800e-04  ratio=2.038866  diff=1.691756e-04
p=4 d=3 n= 17  E_lat > E_iid  E_lat=3.0594092518e-04  E_iid=1.4418474041e-04  ratio=2.121868  diff=1.617562e-04
p=4 d=3 n= 18  E_lat > E_iid  E_lat=2.8311986747e-04  E_iid=1.2855636844e-04  ratio=2.202301  diff=1.545635e-04
p=4 d=3 n= 19  E_lat > E_iid  E_lat=2.6359493506e-04  E_iid=1.1533778275e-04  ratio=2.285417  diff=1.482572e-04
p=4 d=3 n= 20  E_lat > E_iid  E_lat=2.4622235101e-04  E_iid=1.0405787037e-04  ratio=2.366206  diff=1.421645e-04
p=4 d=3 n= 21  E_lat > E_iid  E_lat=2.3107277606e-04  E_iid=9.4355261211e-05  ratio=2.448965  diff=1.367175e-04
p=4 d=3 n= 22  E_lat > E_iid  E_lat=2.1757502783e-04  E_iid=8.5949021899e-05  ratio=2.531443  diff=1.316260e-04
p=4 d=3 n= 23  E_lat > E_iid  E_lat=2.0552298182e-04  E_iid=7.8618089611e-05  ratio=2.614195  diff=1.269049e-04
p=4 d=3 n= 24  E_lat > E_iid  E_lat=1.9454023219e-04  E_iid=7.2186589078e-05  ratio=2.694964  diff=1.223536e-04
p=4 d=3 n= 25  E_lat > E_iid  E_lat=1.8481395025e-04  E_iid=6.6513185185e-05  ratio=2.778606  diff=1.183008e-04
p=4 d=3 n= 26  E_lat > E_iid  E_lat=1.7590305984e-04  E_iid=6.1483251572e-05  ratio=2.860991  diff=1.144198e-04
p=4 d=3 n= 27  E_lat > E_iid  E_lat=1.6778992904e-04  E_iid=5.7003035144e-05  ratio=2.943526  diff=1.107869e-04
p=4 d=3 n= 28  E_lat > E_iid  E_lat=1.6034747736e-04  E_iid=5.2995255642e-05  ratio=3.025695  diff=1.073522e-04
p=4 d=3 n= 29  E_lat > E_iid  E_lat=1.5356904479e-04  E_iid=4.9395750665e-05  ratio=3.108953  diff=1.041733e-04
p=4 d=3 n= 30  E_lat > E_iid  E_lat=1.4724872969e-04  E_iid=4.6150891632e-05  ratio=3.190593  diff=1.010978e-04
p=4 d=3 n= 31  E_lat > E_iid  E_lat=1.4150080810e-04  E_iid=4.3215574676e-05  ratio=3.274301  diff=9.828523e-05
p=4 d=3 n= 32  E_lat > E_iid  E_lat=1.3611124136e-04  E_iid=4.0551644784e-05  ratio=3.356491  diff=9.555960e-05
p=4 d=3 n= 33  E_lat > E_iid  E_lat=1.3113712436e-04  E_iid=3.8126649620e-05  ratio=3.439513  diff=9.301047e-05
p=4 d=3 n= 34  E_lat > E_iid  E_lat=1.2649116011e-04  E_iid=3.5912846492e-05  ratio=3.522170  diff=9.057831e-05
p=4 d=3 n= 35  E_lat > E_iid  E_lat=1.2215709659e-04  E_iid=3.3886405356e-05  ratio=3.604900  diff=8.827069e-05
p=4 d=3 n= 36  E_lat > E_iid  E_lat=1.1808105924e-04  E_iid=3.2026764848e-05  ratio=3.686949  diff=8.605429e-05
p=4 d=3 n= 37  E_lat > E_iid  E_lat=1.1431926679e-04  E_iid=3.0316108658e-05  ratio=3.770908  diff=8.400316e-05
p=4 d=3 n= 38  E_lat > E_iid  E_lat=1.1074766886e-04  E_iid=2.8738937217e-05  ratio=3.853576  diff=8.200873e-05
p=4 d=3 n= 39  E_lat > E_iid  E_lat=1.0738859703e-04  E_iid=2.7281715371e-05  ratio=3.936285  diff=8.010688e-05
p=4 d=3 n= 40  E_lat > E_iid  E_lat=1.0421408552e-04  E_iid=2.5932581019e-05  ratio=4.018655  diff=7.828150e-05
p=4 d=3 n= 41  E_lat > E_iid  E_lat=1.0124544808e-04  E_iid=2.4681102948e-05  ratio=4.102144  diff=7.656435e-05
p=4 d=3 n= 42  E_lat > E_iid  E_lat=9.8410525575e-05  E_iid=2.3518078601e-05  ratio=4.184463  diff=7.489245e-05
p=4 d=3 n= 43  E_lat > E_iid  E_lat=9.5754866073e-05  E_iid=2.2435364415e-05  ratio=4.268033  diff=7.331950e-05
p=4 d=3 n= 44  E_lat > E_iid  E_lat=9.3212343758e-05  E_iid=2.1425732880e-05  ratio=4.350486  diff=7.178661e-05
p=4 d=3 n= 45  E_lat > E_iid  E_lat=9.0809736891e-05  E_iid=2.0482751613e-05  ratio=4.433474  diff=7.032699e-05
p=4 d=3 n= 46  E_lat > E_iid  E_lat=8.8528357650e-05  E_iid=1.9600680651e-05  ratio=4.516596  diff=6.892768e-05
p=4 d=3 n= 47  E_lat > E_iid  E_lat=8.6357319075e-05  E_iid=1.8774384895e-05  ratio=4.599742  diff=6.758293e-05
p=4 d=3 n= 48  E_lat > E_iid  E_lat=8.4270065604e-05  E_iid=1.7999259206e-05  ratio=4.681863  diff=6.627081e-05
p=4 d=3 n= 49  E_lat > E_iid  E_lat=8.2304802987e-05  E_iid=1.7271164100e-05  ratio=4.765446  diff=6.503364e-05
p=4 d=3 n= 50  E_lat > E_iid  E_lat=8.0414382989e-05  E_iid=1.6586370370e-05  ratio=4.848221  diff=6.382801e-05
p=4 d=3 n= 51  E_lat > E_iid  E_lat=7.8613729162e-05  E_iid=1.5941511239e-05  ratio=4.931385  diff=6.267222e-05
p=4 d=3 n= 52  E_lat > E_iid  E_lat=7.6886320458e-05  E_iid=1.5333540898e-05  ratio=5.014257  diff=6.155278e-05
p=4 d=3 n= 53  E_lat > E_iid  E_lat=7.5238398406e-05  E_iid=1.4759698473e-05  ratio=5.097557  diff=6.047870e-05
p=4 d=3 n= 54  E_lat > E_iid  E_lat=7.3645711304e-05  E_iid=1.4217476634e-05  ratio=5.179942  diff=5.942823e-05
p=4 d=3 n= 55  E_lat > E_iid  E_lat=7.2130249014e-05  E_iid=1.3704594151e-05  ratio=5.263217  diff=5.842565e-05
p=4 d=3 n= 56  E_lat > E_iid  E_lat=7.0668095685e-05  E_iid=1.3218971865e-05  ratio=5.345960  diff=5.744912e-05
p=4 d=3 n= 57  E_lat > E_iid  E_lat=6.9271351788e-05  E_iid=1.2758711582e-05  ratio=5.429338  diff=5.651264e-05
p=4 d=3 n= 58  E_lat > E_iid  E_lat=6.7924766550e-05  E_iid=1.2322077500e-05  ratio=5.512444  diff=5.560269e-05
p=4 d=3 n= 59  E_lat > E_iid  E_lat=6.6628997241e-05  E_iid=1.1907479812e-05  ratio=5.595558  diff=5.472152e-05
p=4 d=3 n= 60  E_lat > E_iid  E_lat=6.5371701083e-05  E_iid=1.1513460219e-05  ratio=5.677850  diff=5.385824e-05
p=4 d=3 n= 61  E_lat > E_iid  E_lat=6.4176061123e-05  E_iid=1.1138679090e-05  ratio=5.761550  diff=5.303738e-05
p=4 d=3 n= 62  E_lat > E_iid  E_lat=6.3014327617e-05  E_iid=1.0781904055e-05  ratio=5.844453  diff=5.223242e-05
p=4 d=3 n= 63  E_lat > E_iid  E_lat=6.1893471272e-05  E_iid=1.0441999867e-05  ratio=5.927358  diff=5.145147e-05
p=4 d=3 n= 64  E_lat > E_iid  E_lat=6.0811122767e-05  E_iid=1.0117919357e-05  ratio=6.010240  diff=5.069320e-05
p=4 d=3 n= 65  E_lat > E_iid  E_lat=5.9769607649e-05  E_iid=9.8086953590e-06  ratio=6.093533  diff=4.996091e-05
p=4 d=3 n= 66  E_lat > E_iid  E_lat=5.8758343043e-05  E_iid=9.5134334880e-06  ratio=6.176355  diff=4.924491e-05
p=4 d=3 n= 67  E_lat > E_iid  E_lat=5.7786782308e-05  E_iid=9.2313056632e-06  ratio=6.259871  diff=4.855548e-05
p=4 d=3 n= 68  E_lat > E_iid  E_lat=5.6840021241e-05  E_iid=8.9615442967e-06  ratio=6.342659  diff=4.787848e-05
p=4 d=3 n= 69  E_lat > E_iid  E_lat=5.5926100217e-05  E_iid=8.7034370669e-06  ratio=6.425749  diff=4.722266e-05
p=4 d=3 n= 70  E_lat > E_iid  E_lat=5.5038902261e-05  E_iid=8.4563222114e-06  ratio=6.508610  diff=4.658258e-05
p=4 d=3 n= 71  E_lat > E_iid  E_lat=5.4182684159e-05  E_iid=8.2195842811e-06  ratio=6.591901  diff=4.596310e-05
p=4 d=3 n= 72  E_lat > E_iid  E_lat=5.3346979990e-05  E_iid=7.9926503042e-06  ratio=6.674504  diff=4.535433e-05
p=4 d=3 n= 73  E_lat > E_iid  E_lat=5.2544542387e-05  E_iid=7.7749863164e-06  ratio=6.758152  diff=4.476956e-05
p=4 d=3 n= 74  E_lat > E_iid  E_lat=5.1760632149e-05  E_iid=7.5660942169e-06  ratio=6.841130  diff=4.419454e-05
p=4 d=3 n= 75  E_lat > E_iid  E_lat=5.0999556482e-05  E_iid=7.3655089163e-06  ratio=6.924105  diff=4.363405e-05
p=4 d=3 n= 76  E_lat > E_iid  E_lat=5.0260483386e-05  E_iid=7.1727957455e-06  ratio=7.007098  diff=4.308769e-05
p=4 d=3 n= 77  E_lat > E_iid  E_lat=4.9544207162e-05  E_iid=6.9875480990e-06  ratio=7.090357  diff=4.255666e-05
p=4 d=3 n= 78  E_lat > E_iid  E_lat=4.8844719671e-05  E_iid=6.8093852885e-06  ratio=7.173147  diff=4.203533e-05
p=4 d=3 n= 79  E_lat > E_iid  E_lat=4.8168330534e-05  E_iid=6.6379505851e-06  ratio=7.256506  diff=4.153038e-05
p=4 d=3 n= 80  E_lat > E_iid  E_lat=4.7506286740e-05  E_iid=6.4729094329e-06  ratio=7.339248  diff=4.103338e-05
p=4 d=3 n= 81  E_lat > E_iid  E_lat=4.6865690854e-05  E_iid=6.3139478150e-06  ratio=7.422565  diff=4.055174e-05
p=4 d=3 n= 82  E_lat > E_iid  E_lat=4.6241190219e-05  E_iid=6.1607707590e-06  ratio=7.505748  diff=4.008042e-05
p=4 d=3 n= 83  E_lat > E_iid  E_lat=4.5632987099e-05  E_iid=6.0131009676e-06  ratio=7.588927  diff=3.961989e-05
p=4 d=3 n= 84  E_lat > E_iid  E_lat=4.5037008742e-05  E_iid=5.8706775626e-06  ratio=7.671518  diff=3.916633e-05
p=4 d=3 n= 85  E_lat > E_iid  E_lat=4.4461374739e-05  E_iid=5.7332549321e-06  ratio=7.754997  diff=3.872812e-05
p=4 d=3 n= 86  E_lat > E_iid  E_lat=4.3898081502e-05  E_iid=5.6006016708e-06  ratio=7.838101  diff=3.829748e-05
p=4 d=3 n= 87  E_lat > E_iid  E_lat=4.3348770407e-05  E_iid=5.4724996050e-06  ratio=7.921201  diff=3.787627e-05
p=4 d=3 n= 88  E_lat > E_iid  E_lat=4.2811949608e-05  E_iid=5.3487428956e-06  ratio=8.004114  diff=3.746321e-05
p=4 d=3 n= 89  E_lat > E_iid  E_lat=4.2289915617e-05  E_iid=5.2291372098e-06  ratio=8.087360  diff=3.706078e-05
p=4 d=3 n= 90  E_lat > E_iid  E_lat=4.1777570812e-05  E_iid=5.1134989585e-06  ratio=8.170056  diff=3.666407e-05
p=4 d=3 n= 91  E_lat > E_iid  E_lat=4.1281245007e-05  E_iid=5.0016545911e-06  ratio=8.253518  diff=3.627959e-05
p=4 d=3 n= 92  E_lat > E_iid  E_lat=4.0794505171e-05  E_iid=4.8934399438e-06  ratio=8.336570  diff=3.590107e-05
p=4 d=3 n= 93  E_lat > E_iid  E_lat=4.0320047782e-05  E_iid=4.7886996372e-06  ratio=8.419832  diff=3.553135e-05
p=4 d=3 n= 94  E_lat > E_iid  E_lat=3.9855608287e-05  E_iid=4.6872865179e-06  ratio=8.502917  diff=3.516832e-05
p=4 d=3 n= 95  E_lat > E_iid  E_lat=3.9401675155e-05  E_iid=4.5890611416e-06  ratio=8.585999  diff=3.481261e-05
p=4 d=3 n= 96  E_lat > E_iid  E_lat=3.8956389443e-05  E_iid=4.4938912935e-06  ratio=8.668743  diff=3.446250e-05
p=4 d=3 n= 97  E_lat > E_iid  E_lat=3.8524232374e-05  E_iid=4.4016515428e-06  ratio=8.752222  diff=3.412258e-05
p=4 d=3 n= 98  E_lat > E_iid  E_lat=3.8099331348e-05  E_iid=4.3122228298e-06  ratio=8.835195  diff=3.378711e-05
p=4 d=3 n= 99  E_lat > E_iid  E_lat=3.7684104831e-05  E_iid=4.2254920810e-06  ratio=8.918276  diff=3.345861e-05
p=4 d=3 n=100  E_lat > E_iid  E_lat=3.7277486995e-05  E_iid=4.1413518519e-06  ratio=9.001285  diff=3.313614e-05
p=4 d=3 n=101  E_lat > E_iid  E_lat=3.6881106070e-05  E_iid=4.0596999935e-06  ratio=9.084688  diff=3.282141e-05
p=4 d=3 n=102  E_lat > E_iid  E_lat=3.6491090000e-05  E_iid=3.9804393428e-06  ratio=9.167604  diff=3.251065e-05
p=4 d=3 n=103  E_lat > E_iid  E_lat=3.6110834039e-05  E_iid=3.9034774332e-06  ratio=9.250940  diff=3.220736e-05
p=4 d=3 n=104  E_lat > E_iid  E_lat=3.5736562618e-05  E_iid=3.8287262249e-06  ratio=9.333799  diff=3.190784e-05
p=4 d=3 n=105  E_lat > E_iid  E_lat=3.5370933229e-05  E_iid=3.7561018529e-06  ratio=9.416926  diff=3.161483e-05
p=4 d=3 n=106  E_lat > E_iid  E_lat=3.5013055110e-05  E_iid=3.6855243914e-06  ratio=9.500156  diff=3.132753e-05
p=4 d=3 n=107  E_lat > E_iid  E_lat=3.4662300371e-05  E_iid=3.6169176344e-06  ratio=9.583381  diff=3.104538e-05
p=4 d=3 n=108  E_lat > E_iid  E_lat=3.4316844228e-05  E_iid=3.5502088896e-06  ratio=9.666148  diff=3.076664e-05
p=4 d=3 n=109  E_lat > E_iid  E_lat=3.3980418579e-05  E_iid=3.4853287856e-06  ratio=9.749559  diff=3.049509e-05
p=4 d=3 n=110  E_lat > E_iid  E_lat=3.3648956751e-05  E_iid=3.4222110916e-06  ratio=9.832519  diff=3.022675e-05
p=4 d=3 n=111  E_lat > E_iid  E_lat=3.3324592117e-05  E_iid=3.3607925486e-06  ratio=9.915694  diff=2.996380e-05
p=4 d=3 n=112  E_lat > E_iid  E_lat=3.3005899869e-05  E_iid=3.3010127104e-06  ratio=9.998719  diff=2.970489e-05
p=4 d=3 n=113  E_lat > E_iid  E_lat=3.2694297419e-05  E_iid=3.2428137950e-06  ratio=10.082077  diff=2.945148e-05
p=4 d=3 n=114  E_lat > E_iid  E_lat=3.2387113044e-05  E_iid=3.1861405449e-06  ratio=10.164998  diff=2.920097e-05
p=4 d=3 n=115  E_lat > E_iid  E_lat=3.2086786933e-05  E_iid=3.1309400960e-06  ratio=10.248292  diff=2.895585e-05
p=4 d=3 n=116  E_lat > E_iid  E_lat=3.1791083968e-05  E_iid=3.0771618542e-06  ratio=10.331301  diff=2.871392e-05
p=4 d=3 n=117  E_lat > E_iid  E_lat=3.1501253003e-05  E_iid=3.0247573794e-06  ratio=10.414473  diff=2.847650e-05
p=4 d=3 n=118  E_lat > E_iid  E_lat=3.1216427225e-05  E_iid=2.9736802764e-06  ratio=10.497573  diff=2.824275e-05
p=4 d=3 n=119  E_lat > E_iid  E_lat=3.0936676447e-05  E_iid=2.9238860920e-06  ratio=10.580671  diff=2.801279e-05
p=4 d=3 n=120  E_lat > E_iid  E_lat=3.0660948788e-05  E_iid=2.8753322188e-06  ratio=10.663446  diff=2.778562e-05
p=4 d=4 n=  1  E_lat = E_iid  E_lat=3.1754783951e-02  E_iid=3.1754783951e-02  ratio=1.000000  diff=0.000000e+00
p=4 d=4 n=  2  E_lat = E_iid  E_lat=6.2692901235e-03  E_iid=6.2692901235e-03  ratio=1.000000  diff=0.000000e+00
p=4 d=4 n=  3  E_lat > E_iid  E_lat=2.5973715253e-03  E_iid=2.5390317787e-03  ratio=1.022977  diff=5.833975e-05
p=4 d=4 n=  4  E_lat > E_iid  E_lat=1.4322050856e-03  E_iid=1.3586467978e-03  ratio=1.054141  diff=7.355829e-05
p=4 d=4 n=  5  E_lat > E_iid  E_lat=9.2200830087e-04  E_iid=8.4282345679e-04  ratio=1.093952  diff=7.918484e-05
p=4 d=4 n=  6  E_lat > E_iid  E_lat=6.4951998940e-04  E_iid=5.7292809785e-04  ratio=1.133685  diff=7.659189e-05
p=4 d=4 n=  7  E_lat > E_iid  E_lat=4.8862001865e-04  E_iid=4.1443733578e-04  ratio=1.178996  diff=7.418268e-05
p=4 d=4 n=  8  E_lat > E_iid  E_lat=3.8348172269e-04  E_iid=3.1357723283e-04  ratio=1.222926  diff=6.990449e-05
p=4 d=4 n=  9  E_lat > E_iid  E_lat=3.1165159788e-04  E_iid=2.4547473285e-04  ratio=1.269587  diff=6.617687e-05
p=4 d=4 n= 10  E_lat > E_iid  E_lat=2.5976540074e-04  E_iid=1.9735061728e-04  ratio=1.316263  diff=6.241478e-05
p=4 d=4 n= 11  E_lat > E_iid  E_lat=2.2118315663e-04  E_iid=1.6209628424e-04  ratio=1.364517  diff=5.908687e-05
p=4 d=4 n= 12  E_lat > E_iid  E_lat=1.9119859925e-04  E_iid=1.3550329361e-04  ratio=1.411025  diff=5.569531e-05
p=4 d=4 n= 13  E_lat > E_iid  E_lat=1.6791431838e-04  E_iid=1.1495185635e-04  ratio=1.460736  diff=5.296246e-05
p=4 d=4 n= 14  E_lat > E_iid  E_lat=1.4898257479e-04  E_iid=9.8742261455e-05  ratio=1.508803  diff=5.024031e-05
p=4 d=4 n= 15  E_lat > E_iid  E_lat=1.3352731538e-04  E_iid=8.5732830361e-05  ratio=1.557482  diff=4.779449e-05
p=4 d=4 n= 16  E_lat > E_iid  E_lat=1.2068854669e-04  E_iid=7.5133749879e-05  ratio=1.606316  diff=4.555480e-05
p=4 d=4 n= 17  E_lat > E_iid  E_lat=1.0995085958e-04  E_iid=6.6384566770e-05  ratio=1.656271  diff=4.356629e-05
p=4 d=4 n= 18  E_lat > E_iid  E_lat=1.0071778999e-04  E_iid=5.9078688886e-05  ratio=1.704807  diff=4.163910e-05
p=4 d=4 n= 19  E_lat > E_iid  E_lat=9.2862565654e-05  E_iid=5.2915359472e-05  ratio=1.754926  diff=3.994721e-05
p=4 d=4 n= 20  E_lat > E_iid  E_lat=8.5981309036e-05  E_iid=4.7668248457e-05  ratio=1.803744  diff=3.831306e-05
p=4 d=4 n= 21  E_lat > E_iid  E_lat=8.0015167944e-05  E_iid=4.3164401759e-05  ratio=1.853730  diff=3.685077e-05
p=4 d=4 n= 22  E_lat > E_iid  E_lat=7.4752832817e-05  E_iid=3.9269821725e-05  ratio=1.903569  diff=3.548301e-05
p=4 d=4 n= 23  E_lat > E_iid  E_lat=7.0093862625e-05  E_iid=3.5879394984e-05  ratio=1.953597  diff=3.421447e-05
p=4 d=4 n= 24  E_lat > E_iid  E_lat=6.5901628025e-05  E_iid=3.2909732046e-05  ratio=2.002497  diff=3.299190e-05
p=4 d=4 n= 25  E_lat > E_iid  E_lat=6.2196308813e-05  E_iid=3.0293995062e-05  ratio=2.053090  diff=3.190231e-05
p=4 d=4 n= 26  E_lat > E_iid  E_lat=5.8836993311e-05  E_iid=2.7978107071e-05  ratio=2.102965  diff=3.085889e-05
p=4 d=4 n= 27  E_lat > E_iid  E_lat=5.5799890353e-05  E_iid=2.5917936641e-05  ratio=2.152945  diff=2.988195e-05
p=4 d=4 n= 28  E_lat > E_iid  E_lat=5.3035288618e-05  E_iid=2.4077181302e-05  ratio=2.202720  diff=2.895811e-05
p=4 d=4 n= 29  E_lat > E_iid  E_lat=5.0528492598e-05  E_iid=2.2425758374e-05  ratio=2.253145  diff=2.810273e-05
p=4 d=4 n= 30  E_lat > E_iid  E_lat=4.8213952434e-05  E_iid=2.0938568816e-05  ratio=2.302638  diff=2.727538e-05
p=4 d=4 n= 31  E_lat > E_iid  E_lat=4.6112745685e-05  E_iid=1.9594538453e-05  ratio=2.353347  diff=2.651821e-05
p=4 d=4 n= 32  E_lat > E_iid  E_lat=4.4160478334e-05  E_iid=1.8375867679e-05  ratio=2.403178  diff=2.578461e-05
p=4 d=4 n= 33  E_lat > E_iid  E_lat=4.2365831526e-05  E_iid=1.7267439384e-05  ratio=2.453510  diff=2.509839e-05
p=4 d=4 n= 34  E_lat > E_iid  E_lat=4.0699897710e-05  E_iid=1.6256348111e-05  ratio=2.503631  diff=2.444355e-05
p=4 d=4 n= 35  E_lat > E_iid  E_lat=3.9153707761e-05  E_iid=1.5331522874e-05  ratio=2.553804  diff=2.382218e-05
p=4 d=4 n= 36  E_lat > E_iid  E_lat=3.7708742246e-05  E_iid=1.4483422931e-05  ratio=2.603579  diff=2.322532e-05
p=4 d=4 n= 37  E_lat > E_iid  E_lat=3.6376501784e-05  E_iid=1.3703790837e-05  ratio=2.654485  diff=2.267271e-05
p=4 d=4 n= 38  E_lat > E_iid  E_lat=3.5120934024e-05  E_iid=1.2985450764e-05  ratio=2.704637  diff=2.213548e-05
p=4 d=4 n= 39  E_lat > E_iid  E_lat=3.3945303941e-05  E_iid=1.2322142844e-05  ratio=2.754821  diff=2.162316e-05
p=4 d=4 n= 40  E_lat > E_iid  E_lat=3.2839772643e-05  E_iid=1.1708386381e-05  ratio=2.804808  diff=2.113139e-05
p=4 d=4 n= 41  E_lat > E_iid  E_lat=3.1808001469e-05  E_iid=1.1139366310e-05  ratio=2.855459  diff=2.066864e-05
p=4 d=4 n= 42  E_lat > E_iid  E_lat=3.0828992649e-05  E_iid=1.0610838496e-05  ratio=2.905425  diff=2.021815e-05
p=4 d=4 n= 43  E_lat > E_iid  E_lat=2.9913233250e-05  E_iid=1.0119050392e-05  ratio=2.956130  diff=1.979418e-05
p=4 d=4 n= 44  E_lat > E_iid  E_lat=2.9041747366e-05  E_iid=9.6606742645e-06  ratio=3.006182  diff=1.938107e-05
p=4 d=4 n= 45  E_lat > E_iid  E_lat=2.8220405261e-05  E_iid=9.2327507663e-06  ratio=3.056554  diff=1.898765e-05
p=4 d=4 n= 46  E_lat > E_iid  E_lat=2.7443062863e-05  E_iid=8.8326410641e-06  ratio=3.107005  diff=1.861042e-05
p=4 d=4 n= 47  E_lat > E_iid  E_lat=2.6705877157e-05  E_iid=8.4579860691e-06  ratio=3.157475  diff=1.824789e-05
p=4 d=4 n= 48  E_lat > E_iid  E_lat=2.6000873726e-05  E_iid=8.1066715919e-06  ratio=3.207343  diff=1.789420e-05
p=4 d=4 n= 49  E_lat > E_iid  E_lat=2.5337417029e-05  E_iid=7.7767984575e-06  ratio=3.258078  diff=1.756062e-05
p=4 d=4 n= 50  E_lat > E_iid  E_lat=2.4702218542e-05  E_iid=7.4666567901e-06  ratio=3.308337  diff=1.723556e-05
p=4 d=4 n= 51  E_lat > E_iid  E_lat=2.4098602113e-05  E_iid=7.1747038153e-06  ratio=3.358829  diff=1.692390e-05
p=4 d=4 n= 52  E_lat > E_iid  E_lat=2.3521572162e-05  E_iid=6.8995446407e-06  ratio=3.409148  diff=1.662203e-05
p=4 d=4 n= 53  E_lat > E_iid  E_lat=2.2972275707e-05  E_iid=6.6399155671e-06  ratio=3.459724  diff=1.633236e-05
p=4 d=4 n= 54  E_lat > E_iid  E_lat=2.2443765897e-05  E_iid=6.3946695557e-06  ratio=3.509762  diff=1.604910e-05
p=4 d=4 n= 55  E_lat > E_iid  E_lat=2.1941453135e-05  E_iid=6.1627635399e-06  ratio=3.560327  diff=1.577869e-05
p=4 d=4 n= 56  E_lat > E_iid  E_lat=2.1458558814e-05  E_iid=5.9432473179e-06  ratio=3.610578  diff=1.551531e-05
p=4 d=4 n= 57  E_lat > E_iid  E_lat=2.0997952995e-05  E_iid=5.7352538056e-06  ratio=3.661207  diff=1.526270e-05
p=4 d=4 n= 58  E_lat > E_iid  E_lat=2.0555229368e-05  E_iid=5.5379904622e-06  ratio=3.711677  diff=1.501724e-05
p=4 d=4 n= 59  E_lat > E_iid  E_lat=2.0130270972e-05  E_iid=5.3507317306e-06  ratio=3.762153  diff=1.477954e-05
p=4 d=4 n= 60  E_lat > E_iid  E_lat=1.9719504828e-05  E_iid=5.1728123571e-06  ratio=3.812144  diff=1.454669e-05
p=4 d=4 n= 61  E_lat > E_iid  E_lat=1.9328842267e-05  E_iid=5.0036214757e-06  ratio=3.862971  diff=1.432522e-05
p=4 d=4 n= 62  E_lat > E_iid  E_lat=1.8950660798e-05  E_iid=4.8425973583e-06  ratio=3.913326  diff=1.410806e-05
p=4 d=4 n= 63  E_lat > E_iid  E_lat=1.8586602309e-05  E_iid=4.6892227471e-06  ratio=3.963685  diff=1.389738e-05
p=4 d=4 n= 64  E_lat > E_iid  E_lat=1.8235819859e-05  E_iid=4.5430206958e-06  ratio=4.014030  diff=1.369280e-05
p=4 d=4 n= 65  E_lat > E_iid  E_lat=1.7898763986e-05  E_iid=4.4035508578e-06  ratio=4.064621  diff=1.349521e-05
p=4 d=4 n= 66  E_lat > E_iid  E_lat=1.7572431988e-05  E_iid=4.2704061669e-06  ratio=4.114932  diff=1.330203e-05
p=4 d=4 n= 67  E_lat > E_iid  E_lat=1.7259188679e-05  E_iid=4.1432098642e-06  ratio=4.165656  diff=1.311598e-05
p=4 d=4 n= 68  E_lat > E_iid  E_lat=1.6954918422e-05  E_iid=4.0216128302e-06  ratio=4.215950  diff=1.293331e-05
p=4 d=4 n= 69  E_lat > E_iid  E_lat=1.6661629611e-05  E_iid=3.9052911868e-06  ratio=4.266424  diff=1.275634e-05
p=4 d=4 n= 70  E_lat > E_iid  E_lat=1.6377558570e-05  E_iid=3.7939441385e-06  ratio=4.316763  diff=1.258361e-05
p=4 d=4 n= 71  E_lat > E_iid  E_lat=1.6103722554e-05  E_iid=3.6872920266e-06  ratio=4.367358  diff=1.241643e-05
p=4 d=4 n= 72  E_lat > E_iid  E_lat=1.5837227215e-05  E_iid=3.5850745713e-06  ratio=4.417545  diff=1.225215e-05
p=4 d=4 n= 73  E_lat > E_iid  E_lat=1.5581369180e-05  E_iid=3.4870492822e-06  ratio=4.468354  diff=1.209432e-05
p=4 d=4 n= 74  E_lat > E_iid  E_lat=1.5332124738e-05  E_iid=3.3929900195e-06  ratio=4.518765  diff=1.193913e-05
p=4 d=4 n= 75  E_lat > E_iid  E_lat=1.5090554940e-05  E_iid=3.3026856882e-06  ratio=4.569177  diff=1.178787e-05
p=4 d=4 n= 76  E_lat > E_iid  E_lat=1.4856346849e-05  E_iid=3.2159390530e-06  ratio=4.619598  diff=1.164041e-05
p=4 d=4 n= 77  E_lat > E_iid  E_lat=1.4629642976e-05  E_iid=3.1325656607e-06  ratio=4.670179  diff=1.149708e-05
p=4 d=4 n= 78  E_lat > E_iid  E_lat=1.4408764251e-05  E_iid=3.0523928585e-06  ratio=4.720482  diff=1.135637e-05
p=4 d=4 n= 79  E_lat > E_iid  E_lat=1.4195326498e-05  E_iid=2.9752589001e-06  ratio=4.771123  diff=1.122007e-05
p=4 d=4 n= 80  E_lat > E_iid  E_lat=1.3986933820e-05  E_iid=2.9010121287e-06  ratio=4.821398  diff=1.108592e-05
p=4 d=4 n= 81  E_lat > E_iid  E_lat=1.3785419486e-05  E_iid=2.8295102315e-06  ratio=4.872016  diff=1.095591e-05
p=4 d=4 n= 82  E_lat > E_iid  E_lat=1.3589297927e-05  E_iid=2.7606195571e-06  ratio=4.922554  diff=1.082868e-05
p=4 d=4 n= 83  E_lat > E_iid  E_lat=1.3398574517e-05  E_iid=2.6942144907e-06  ratio=4.973091  diff=1.070436e-05
p=4 d=4 n= 84  E_lat > E_iid  E_lat=1.3212112052e-05  E_iid=2.6301768809e-06  ratio=5.023279  diff=1.058194e-05
p=4 d=4 n= 85  E_lat > E_iid  E_lat=1.3032027179e-05  E_iid=2.5683955140e-06  ratio=5.073995  diff=1.046363e-05
p=4 d=4 n= 86  E_lat > E_iid  E_lat=1.2856141167e-05  E_iid=2.5087656309e-06  ratio=5.124489  diff=1.034738e-05
p=4 d=4 n= 87  E_lat > E_iid  E_lat=1.2684853743e-05  E_iid=2.4511884823e-06  ratio=5.174981  diff=1.023367e-05
p=4 d=4 n= 88  E_lat > E_iid  E_lat=1.2517724715e-05  E_iid=2.3955709203e-06  ratio=5.225362  diff=1.012215e-05
p=4 d=4 n= 89  E_lat > E_iid  E_lat=1.2355332114e-05  E_iid=2.3418250210e-06  ratio=5.275942  diff=1.001351e-05
p=4 d=4 n= 90  E_lat > E_iid  E_lat=1.2196280839e-05  E_iid=2.2898677370e-06  ratio=5.326194  diff=9.906413e-06
p=4 d=4 n= 91  E_lat > E_iid  E_lat=1.2042223946e-05  E_iid=2.2396205763e-06  ratio=5.376904  diff=9.802603e-06
p=4 d=4 n= 92  E_lat > E_iid  E_lat=1.1891415078e-05  E_iid=2.1910093058e-06  ratio=5.427369  diff=9.700406e-06
p=4 d=4 n= 93  E_lat > E_iid  E_lat=1.1744546506e-05  E_iid=2.1439636770e-06  ratio=5.477960  diff=9.600583e-06
p=4 d=4 n= 94  E_lat > E_iid  E_lat=1.1600983755e-05  E_iid=2.0984171720e-06  ratio=5.528445  diff=9.502567e-06
p=4 d=4 n= 95  E_lat > E_iid  E_lat=1.1460833105e-05  E_iid=2.0543067683e-06  ratio=5.578930  diff=9.406526e-06
p=4 d=4 n= 96  E_lat > E_iid  E_lat=1.1323571132e-05  E_iid=2.0115727205e-06  ratio=5.629213  diff=9.311998e-06
p=4 d=4 n= 97  E_lat > E_iid  E_lat=1.1190370728e-05  E_iid=1.9701583585e-06  ratio=5.679935  diff=9.220212e-06
p=4 d=4 n= 98  E_lat > E_iid  E_lat=1.1059642813e-05  E_iid=1.9300098987e-06  ratio=5.730355  diff=9.129633e-06
p=4 d=4 n= 99  E_lat > E_iid  E_lat=1.0932010987e-05  E_iid=1.8910762699e-06  ratio=5.780841  diff=9.040935e-06
p=4 d=4 n=100  E_lat > E_iid  E_lat=1.0807168825e-05  E_iid=1.8533089506e-06  ratio=5.831283  diff=8.953860e-06
p=4 d=4 n=101  E_lat > E_iid  E_lat=1.0685532733e-05  E_iid=1.8166618179e-06  ratio=5.881960  diff=8.868871e-06
p=4 d=4 n=102  E_lat > E_iid  E_lat=1.0566051653e-05  E_iid=1.7810910064e-06  ratio=5.932348  diff=8.784961e-06
p=4 d=4 n=103  E_lat > E_iid  E_lat=1.0449613424e-05  E_iid=1.7465547769e-06  ratio=5.982986  diff=8.703059e-06
p=4 d=4 n=104  E_lat > E_iid  E_lat=1.0335194413e-05  E_iid=1.7130133943e-06  ratio=6.033341  diff=8.622181e-06
p=4 d=4 n=105  E_lat > E_iid  E_lat=1.0223487976e-05  E_iid=1.6804290127e-06  ratio=6.083856  diff=8.543059e-06
p=4 d=4 n=106  E_lat > E_iid  E_lat=1.0114238475e-05  E_iid=1.6487655689e-06  ratio=6.134431  diff=8.465473e-06
p=4 d=4 n=107  E_lat > E_iid  E_lat=1.0007267166e-05  E_iid=1.6179886827e-06  ratio=6.185004  diff=8.389278e-06
p=4 d=4 n=108  E_lat > E_iid  E_lat=9.9020726743e-06  E_iid=1.5880655633e-06  ratio=6.235305  diff=8.314007e-06
p=4 d=4 n=109  E_lat > E_iid  E_lat=9.7996372706e-06  E_iid=1.5589649220e-06  ratio=6.285990  diff=8.240672e-06
p=4 d=4 n=110  E_lat > E_iid  E_lat=9.6988635521e-06  E_iid=1.5306568903e-06  ratio=6.336406  diff=8.168207e-06
p=4 d=4 n=111  E_lat > E_iid  E_lat=9.6003082658e-06  E_iid=1.5031129435e-06  ratio=6.386951  diff=8.097195e-06
p=4 d=4 n=112  E_lat > E_iid  E_lat=9.5035794531e-06  E_iid=1.4763058285e-06  ratio=6.437406  diff=8.027274e-06
p=4 d=4 n=113  E_lat > E_iid  E_lat=9.4090451093e-06  E_iid=1.4502094967e-06  ratio=6.488059  diff=7.958836e-06
p=4 d=4 n=114  E_lat > E_iid  E_lat=9.3159818648e-06  E_iid=1.4247990401e-06  ratio=6.538453  diff=7.891183e-06
p=4 d=4 n=115  E_lat > E_iid  E_lat=9.2250305985e-06  E_iid=1.4000506328e-06  ratio=6.589069  diff=7.824980e-06
p=4 d=4 n=116  E_lat > E_iid  E_lat=9.1355848142e-06  E_iid=1.3759414741e-06  ratio=6.639516  diff=7.759643e-06
p=4 d=4 n=117  E_lat > E_iid  E_lat=9.0479696687e-06  E_iid=1.3524497368e-06  ratio=6.690060  diff=7.695520e-06
p=4 d=4 n=118  E_lat > E_iid  E_lat=8.9619436495e-06  E_iid=1.3295545171e-06  ratio=6.740561  diff=7.632389e-06
p=4 d=4 n=119  E_lat > E_iid  E_lat=8.8775183913e-06  E_iid=1.3072357886e-06  ratio=6.791061  diff=7.570283e-06
p=4 d=4 n=120  E_lat > E_iid  E_lat=8.7944040741e-06  E_iid=1.2854743584e-06  ratio=6.841369  diff=7.508930e-06
total time 35.4 s
