bhts: Bayesian High-Throughput Screening

In BHTSpack: Bayesian Multi-Plate High-Throughput Screening of Compounds

Description

This is the package main function.

Usage

bhts(Z, iters, H, K, mu00=NULL, mu10=NULL, a.alpha, b.alpha, a.tau, b.tau, 
pnorm=FALSE, s=NULL, store=FALSE)

Arguments

Z	A list of compounds.
iters	Number of iterations to perform.
H	Number of local DP components.
K	Number of global DP components.
mu00	Activity level (mean) of non-hit compounds
mu10	Activity level (mean) of hit compounds
a.alpha	Gamma shape parameter specifying local DP concentration prior.
b.alpha	Gamma rate parameter specifying local DP concentration prior.
a.tau	Gamma shape parameter specifying global DP concentration prior.
b.tau	Gamma rate parameter specifying global DP concentration prior.
pnorm	Plate normalization. If TRUE, each plate is normalized to zero mean and unit variance, prior to analysis. Default is FALSE.
s	Random seed (for reproducibility purposes). Default is NULL.
store	If TRUE, all samples of certain latent variables are stored in the output object. Default is FALSE.

Value

This function returns a list consisting of the following elements:

hatpai

A list of vectors of posterior probabilities, estimating the probability of a compound being a hit.

dat.store

If store=TRUE (default is FALSE), the output contains a list of iters\timesK matrices of samples. Each matrix contains the samples of a separate latent variable. At each iteration, the following six variables are stored in a different row of their corrpsponding matrix, (λ_{1}^{(0)},…,λ_{K}^{(0)}), (λ_{1}^{(1)},…,λ_{K}^{(1)}), (μ_{01},…,μ_{0K}), (μ_{11},…,μ_{1K}), (σ_{01}^2,…,σ_{0K}^2) and (σ_{11}^2,…,σ_{1K}^2).

Examples

  set.seed(1234)
  Nmax = 100
  M = 100
  n = sample(Nmax, M, replace=TRUE)
  Z = lapply(n, function(x){abs(rnorm(x))})
  bhts(Z, iters=100, H=10, K=5, mu00=0, mu10=10, a.alpha=10, b.alpha=5, a.tau=10, b.tau=5)

Example output

Loading required package: R2HTML
Loading required package: xtable
iter=10, iter=20, iter=30, iter=40, iter=50, iter=60, iter=70, iter=80, iter=90, iter=100, 
$hatpai
$hatpai[[1]]
 [1] 2.805564e-28 4.108170e-34 5.998780e-32 2.638718e-32 1.001165e-41
 [6] 1.073007e-44 1.263694e-40 1.893247e-41 8.216334e-39 9.026641e-26
[11] 2.167072e-43 9.777279e-32 4.274811e-38 1.926978e-42 6.641376e-42
[16] 3.593571e-43 3.056680e-43 6.601311e-32 3.307002e-43 6.971821e-37
[21] 2.417697e-38 9.690309e-40 4.091193e-41 4.787704e-43 1.402848e-33
[26] 2.755437e-44 1.807007e-42 6.730178e-29

$hatpai[[2]]
 [1] 7.922419e-39 7.523724e-44 3.369701e-45 1.713298e-37 4.579426e-40
 [6] 4.088420e-39 3.177553e-28 1.238420e-44 4.720972e-44 6.513246e-48
[11] 8.778445e-44 1.374292e-40 5.604303e-47 6.949061e-40 5.750002e-47
[16] 3.326849e-45 4.855727e-48 1.044147e-46 2.395847e-42 9.665325e-38
[21] 2.349527e-40 2.593698e-48 1.547060e-40 2.117608e-36 5.854725e-47
[26] 4.144883e-42 2.816395e-48 9.468545e-47 4.985588e-41 8.661954e-29
[31] 2.425628e-41 6.683303e-31 8.774410e-48 1.604446e-42 8.684886e-34
[36] 1.784621e-42 2.010928e-46 1.050002e-38 3.566459e-46 4.043700e-37
[41] 3.745343e-42 1.676039e-32 4.227087e-45 1.418872e-45 8.887846e-30
[46] 1.204156e-39 1.322049e-42 2.100918e-45 6.380492e-35 1.808046e-42
[51] 1.603301e-47 1.130248e-43 8.836530e-45 2.201703e-32 5.897794e-46
[56] 9.556748e-44 2.826467e-45 5.432406e-45 1.273882e-47 1.314079e-32
[61] 4.311581e-40 2.129836e-47 3.047565e-35 2.407561e-46 2.629036e-38
[66] 3.770663e-40 7.219734e-45 2.247588e-40 4.232829e-46 1.235575e-44
[71] 7.913095e-47 1.049696e-44 1.375907e-42 3.055218e-32 6.896395e-48
[76] 1.573346e-45 3.432014e-34 5.327443e-32 4.027208e-48 2.038323e-45

$hatpai[[3]]
 [1] 2.809091e-27 6.601687e-31 2.421653e-36 1.341414e-33 5.934409e-17
 [6] 5.447301e-42 8.420274e-44 1.344228e-19 3.292122e-43 5.165682e-35
[11] 2.389337e-40 1.262804e-35 6.665050e-26 3.621978e-33 1.830224e-39
[16] 1.285511e-37 2.536926e-42 3.448481e-39 1.494728e-18 8.413367e-37
[21] 1.166151e-39 2.392074e-24

$hatpai[[4]]
[1] 1.026768e-41 1.399572e-40 3.186837e-37 7.827275e-45 5.580172e-27
[6] 7.341979e-42 7.598465e-40 1.258941e-44 8.297255e-40

$hatpai[[5]]
[1] 2.301507e-42 3.192932e-38 2.225286e-28 6.115556e-35 7.277268e-45

$hatpai[[6]]
 [1] 1.204274e-34 2.948830e-41 2.016995e-41 4.050014e-31 4.192116e-30
 [6] 2.807306e-41 3.208152e-41 1.097095e-43 1.694061e-39 2.669115e-42
[11] 2.817143e-39 9.597927e-37 5.497838e-39 2.107587e-24 4.383185e-34
[16] 1.866184e-42 5.445001e-39 5.941265e-19 8.004446e-39 9.308275e-39
[21] 2.253439e-43 4.040918e-42 1.420204e-42 2.236779e-36 5.343285e-44
[26] 3.618488e-42 5.354658e-35 2.848382e-16 9.372876e-43 8.953176e-45
[31] 1.308910e-39 1.637241e-44 2.669938e-41 8.351802e-35 1.675188e-38
[36] 1.983565e-38 8.761421e-43 2.308370e-32

$hatpai[[7]]
 [1] 2.695983e-42 1.404211e-43 1.516652e-43 5.379715e-42 4.335679e-36
 [6] 7.449739e-42 7.039975e-40 2.343126e-35 1.311584e-42 4.300449e-32
[11] 1.624315e-34 1.230905e-43 2.726767e-42 6.720134e-37 8.302649e-43
[16] 1.556132e-44

$hatpai[[8]]
[1] 1.151965e-32 2.432633e-46 3.643428e-43 2.698739e-47

$hatpai[[9]]
 [1] 1.828060e-34 5.351511e-42 2.222499e-39 9.841526e-43 1.066344e-28
 [6] 2.422193e-39 1.019767e-36 9.214398e-27 1.591147e-39 4.838800e-38
[11] 2.329776e-36 2.052748e-45 1.333043e-42 4.035077e-36 3.271673e-41
[16] 4.677359e-39 5.402087e-38 5.143878e-38 1.342754e-42 1.103727e-37
[21] 2.869868e-43 4.160711e-31 2.514171e-44 2.272815e-36 7.812926e-44
[26] 3.266044e-29 8.225058e-40 3.480445e-30 7.857247e-29 1.389107e-34
[31] 3.639629e-42 2.761482e-42 1.335958e-42 3.433559e-40 1.128341e-36
[36] 7.217958e-44 3.862130e-36 2.929591e-45 1.521076e-39 6.791107e-41
[41] 1.481509e-30 1.995694e-41 1.802496e-38 7.678417e-32 1.860586e-41
[46] 1.167139e-41 4.092404e-45 5.244449e-41 4.320632e-34 3.888541e-44
[51] 3.920008e-31 2.315084e-40 1.459586e-39 3.405315e-44 2.963367e-45
[56] 6.802339e-41 7.507500e-31 3.340935e-45 6.558935e-39 1.878805e-35
[61] 1.113858e-36 4.862756e-35 1.521562e-39 7.627252e-43 3.437592e-37
[66] 9.234717e-41 1.984655e-40 1.093317e-44 5.874210e-35 4.771118e-43
[71] 1.655344e-30 1.484233e-43 5.905891e-38 5.451135e-45 1.683381e-42
[76] 1.179746e-36 7.097914e-35 1.414960e-44 1.108255e-34 1.845394e-38
[81] 2.976157e-24 3.379143e-41 8.681444e-41 1.708111e-24 2.358194e-40
[86] 2.819639e-38 1.902518e-43 8.445733e-31 1.711027e-40 4.010085e-28
[91] 2.193775e-37 1.812640e-44 1.258352e-27 7.385349e-37 6.195245e-28
[96] 2.013976e-45 4.112329e-44 7.599164e-41

$hatpai[[10]]
 [1] 1.664049e-32 7.182771e-34 7.148026e-43 3.220731e-45 2.792468e-25
 [6] 3.958856e-40 7.988612e-32 1.511025e-43 2.808393e-45 5.335366e-38
[11] 1.892041e-44 3.686059e-43 1.769346e-39 4.123873e-41 1.187997e-42
[16] 6.688071e-29 7.061718e-22 2.216284e-40 2.513817e-32 5.223515e-38
[21] 1.598627e-34 1.130770e-36 8.525526e-43 7.624766e-32 8.617883e-44
[26] 5.008838e-31 1.621246e-15 1.561577e-38 1.456755e-35 7.423698e-41
[31] 1.852694e-38 1.643759e-41 9.182953e-41 1.681159e-45 2.770242e-37
[36] 2.052455e-34 2.613867e-45 7.768137e-42 1.923586e-37 7.150300e-42
[41] 2.929063e-44 3.043360e-32 2.184997e-35 5.893163e-41 5.802191e-45
[46] 9.465761e-33 4.462517e-43 3.301211e-39 3.560096e-26 4.382512e-43
[51] 8.305932e-41 2.791594e-35 3.640537e-40 1.361747e-40 2.342393e-44
[56] 2.540581e-34 2.886938e-42 1.101877e-44 3.802294e-44 1.140557e-39
[61] 1.296200e-44 3.896215e-31 1.339428e-44 3.655618e-34 6.749042e-39
[66] 1.888717e-34 3.666911e-28 2.867441e-38 7.164379e-39 3.914922e-40
[71] 6.106866e-31 1.111379e-30 4.828509e-39 5.568576e-34 2.001495e-45
[76] 3.089987e-41 2.086446e-44 4.276778e-44 5.062847e-37 7.459284e-34
[81] 9.460905e-33 3.110890e-43 5.915365e-42 1.039621e-42 6.545182e-27
[86] 2.270767e-42

$hatpai[[11]]
 [1] 3.554050e-31 1.431915e-31 1.570699e-40 3.279226e-37 2.935199e-38
 [6] 1.278211e-30 4.362341e-33 7.018292e-43 8.348930e-28 2.842046e-43
[11] 7.872014e-37 3.815468e-42 8.078814e-38 3.155284e-32 1.863697e-34
[16] 1.418892e-26 1.838883e-32 4.955760e-36 1.380881e-41 3.459109e-31
[21] 5.087068e-36 9.285974e-42 4.739596e-39 7.580760e-44 3.148907e-39
[26] 1.237242e-39 2.048983e-34 4.686450e-34 2.060824e-33 2.335376e-37
[31] 4.859534e-33 9.489836e-29 2.049481e-40 4.072043e-42 5.751867e-16
[36] 6.201452e-20 1.797039e-36 4.809561e-38 7.340522e-29 1.754224e-36
[41] 5.043363e-31 4.603289e-24 3.807141e-28 6.549187e-34 8.047820e-44
[46] 3.523768e-24 1.299200e-39 1.631839e-37 2.136443e-28 4.105480e-35
[51] 7.123135e-33 1.042241e-37 3.111574e-43 6.279103e-28 5.010363e-42
[56] 3.800469e-30 9.531073e-40 5.152532e-41 4.787895e-44 1.940494e-34
[61] 1.725001e-36 4.325355e-44 1.302826e-34 6.357823e-41 3.500239e-36
[66] 3.776767e-20 1.003620e-39 2.410220e-40 4.232591e-32 1.109043e-30
[71] 6.244180e-43 3.382703e-32 3.438007e-44 5.063997e-38 2.110872e-36
[76] 4.392646e-41 3.592175e-42 5.840780e-44 2.066032e-42 1.984679e-42
[81] 1.158400e-37 9.326377e-42 3.369441e-29 3.003846e-40 3.668906e-33
[86] 1.002858e-41 1.594530e-39 1.705459e-40 4.216027e-41 2.800327e-40

$hatpai[[12]]
 [1] 2.619177e-34 1.625687e-40 2.442422e-46 2.632645e-41 5.541278e-36
 [6] 2.517776e-29 9.741171e-45 5.477645e-41 1.237986e-40 1.701853e-33
[11] 5.859976e-36 7.540144e-36 3.635649e-40 5.750757e-45 4.698908e-41
[16] 5.767317e-39 2.875821e-20 1.220645e-37 7.374202e-41 4.743439e-40
[21] 1.709505e-36 8.690969e-44 1.589801e-45 7.722523e-40 1.705605e-33
[26] 1.212787e-38 7.150174e-44 5.097627e-34 3.843925e-38 1.719455e-44
[31] 5.170032e-30 6.670448e-44 1.293898e-40 6.461508e-38 2.674010e-39
[36] 1.865532e-42 1.393251e-26 1.243666e-42 4.566589e-37 1.465356e-37
[41] 3.554857e-42 2.593493e-43 1.554563e-45 1.372971e-41 5.542050e-41
[46] 8.528525e-28 1.008974e-35 2.029451e-44 3.440365e-43 4.419657e-45
[51] 1.965960e-39 1.259043e-42 6.801292e-38 4.444343e-46 6.716289e-42
[56] 8.775265e-44 6.856669e-39 1.223101e-38 1.214922e-37 1.154904e-43
[61] 6.938156e-41 9.861248e-31 2.965434e-39 2.207296e-46 7.237028e-45
[66] 3.556095e-36 1.155050e-32 8.648419e-36 4.363678e-37 1.061360e-40

$hatpai[[13]]
 [1] 7.949640e-45 1.239970e-41 8.084925e-45 2.696598e-32 2.145637e-41
 [6] 1.367358e-31 1.837374e-44 2.869717e-38 5.505653e-40 3.897786e-36
[11] 6.971762e-43 1.114920e-37 5.983382e-46 1.513822e-40 6.014959e-30
[16] 7.922222e-38 1.430772e-42 9.983566e-37 7.763574e-42 2.551537e-32
[21] 2.838134e-36 1.636982e-30 3.656792e-42 1.060855e-32 2.803511e-32
[26] 2.220078e-45 1.675701e-45 1.025902e-45 3.708209e-34 2.368330e-43
[31] 8.010759e-40 6.106177e-45 2.549260e-41 2.117355e-45 2.881086e-35
[36] 5.582698e-45 4.331728e-45 1.500225e-39 1.221054e-45 4.708774e-40
[41] 4.244105e-40 3.549753e-44 1.534697e-41 3.616855e-44 2.665755e-44
[46] 5.599289e-37 1.929689e-43 4.393089e-45 2.382252e-41 3.243811e-34
[51] 4.813621e-41 3.974278e-41 2.312112e-35 1.515147e-29 2.005352e-39
[56] 4.700006e-35 5.636370e-35 8.499086e-31 1.182886e-34 1.029826e-36
[61] 4.963733e-41 8.473473e-38 2.077744e-40 2.725828e-42 2.650156e-44
[66] 7.310947e-43 2.353633e-38 2.256264e-43 4.057170e-26 3.772035e-45
[71] 8.226241e-29 2.741893e-37 4.113018e-39 1.396950e-35 1.353142e-40
[76] 1.180733e-40 3.112197e-28 9.967766e-44 5.881427e-37

$hatpai[[14]]
 [1] 5.490414e-48 9.883599e-42 8.626123e-43 1.073082e-33 6.610169e-47
 [6] 1.624563e-41 7.201172e-28 2.609888e-45 1.794111e-40 2.972796e-39
[11] 6.916317e-44 2.013697e-34 3.527683e-46 2.750420e-36 8.940710e-45
[16] 5.253356e-43 4.434362e-45 3.133520e-39 1.028349e-41 5.992483e-37
[21] 2.149654e-31 3.404838e-34 6.053238e-44 8.310793e-47 1.184720e-44
[26] 1.567737e-36 2.018756e-23 7.709145e-48 9.325235e-48 2.049920e-32
[31] 2.918119e-29 6.773038e-42 9.307895e-40 6.040423e-45 5.674481e-47
[36] 2.686339e-42 2.977552e-46 6.229218e-46 4.795614e-47 1.036769e-42
[41] 1.047394e-36 5.638226e-38 2.882431e-35 1.030058e-44 2.671458e-45
[46] 7.158113e-45 6.568621e-35 2.420444e-45 3.438665e-47 1.394258e-44
[51] 9.701527e-42 1.222318e-45 3.485195e-26 2.744904e-39 2.064063e-34
[56] 1.097460e-47 2.753375e-31 1.360550e-47 4.419176e-47 6.345440e-40
[61] 3.535389e-47 3.899275e-47 1.641922e-36 3.172402e-47 5.125169e-41
[66] 1.876817e-44 1.158017e-37 4.105451e-34 5.788783e-47 1.434620e-37
[71] 1.107943e-42 9.594470e-47 7.053258e-41 1.363314e-32 4.438907e-47
[76] 1.857372e-34 4.771750e-47 4.558324e-45

$hatpai[[15]]
 [1] 8.121729e-41 1.043485e-34 2.317633e-20 1.162052e-34 1.523990e-42
 [6] 2.883709e-34 4.150415e-41 1.652745e-42 3.141569e-32 1.107014e-41
[11] 1.566379e-42 1.876539e-43 1.537268e-29 5.297936e-40

$hatpai[[16]]
 [1] 1.154456e-32 9.656216e-43 2.883612e-46 1.963546e-45 1.970298e-41
 [6] 2.763551e-21 3.323679e-42 6.807567e-46 1.019170e-41 6.433436e-45
[11] 6.584018e-38 6.806982e-44 4.315280e-47 2.800011e-46 1.792287e-36
[16] 2.594805e-42 1.314177e-35 2.533195e-35 9.943450e-38 2.438168e-34
[21] 7.934421e-47 1.232254e-30 2.230658e-46 4.379464e-40 5.550210e-37
[26] 2.818604e-45 4.351545e-42 4.681922e-44 5.224000e-40 7.066299e-41
[31] 1.852115e-41 3.899995e-40 5.453834e-26 1.535176e-45 3.321669e-47
[36] 8.849529e-47 4.555416e-42 1.181107e-38 1.140933e-36 8.869485e-39
[41] 4.330946e-38 3.953618e-41 3.615001e-34 1.839794e-36 5.019306e-46
[46] 2.437110e-42 3.309889e-37 4.238091e-47 3.546219e-45 7.221141e-46
[51] 9.911767e-42 1.708855e-41 1.097773e-40 3.099518e-37 6.585607e-27
[56] 1.716059e-45

$hatpai[[17]]
 [1] 1.350422e-39 3.952222e-44 1.008752e-29 1.164874e-43 5.590325e-41
 [6] 3.690746e-41 2.073834e-42 4.869574e-32 1.717458e-44 2.672743e-32
[11] 1.364490e-36 7.806108e-28 1.490325e-43 1.107493e-40 9.736479e-31
[16] 7.197266e-32 1.060078e-36 3.090001e-40 2.320767e-43 8.664016e-42
[21] 2.767484e-35 3.959138e-41 4.521250e-40 3.101194e-40 2.986200e-40
[26] 5.028540e-36 5.637614e-44 6.565385e-39 1.194171e-42 2.712071e-44
[31] 1.009820e-26 2.232979e-31 1.839309e-44 6.681425e-37 5.134193e-43
[36] 1.771540e-42 9.473881e-31 2.821166e-38 1.311742e-42 1.028627e-33
[41] 9.382341e-36 6.055003e-40 2.197263e-40 1.152112e-35 1.451324e-41
[46] 3.803130e-36 3.499058e-28 2.692669e-36 7.904175e-28 2.688699e-37
[51] 2.786578e-35 3.306031e-39 5.491958e-37 5.139638e-35 3.666083e-38
[56] 8.717692e-39 2.197085e-41 4.517258e-37 7.987704e-44 3.249814e-44
[61] 4.823846e-31 6.663591e-38

$hatpai[[18]]
[1] 3.344365e-19 6.653007e-40 9.403559e-31 1.830054e-38

$hatpai[[19]]
[1] 2.610627e-44 6.465611e-40 4.505196e-44 3.755621e-48

$hatpai[[20]]
 [1] 2.681065e-44 8.608883e-42 2.856018e-43 1.270911e-34 7.342777e-39
 [6] 1.733797e-41 3.541631e-38 4.082294e-42 3.747646e-27 2.847115e-28
[11] 6.613411e-42 4.169154e-44 3.818105e-40 2.502003e-41 1.348805e-41
[16] 4.616142e-43 7.499815e-39 7.297273e-40 1.882798e-43 9.898625e-39
[21] 1.825299e-32

$hatpai[[21]]
 [1] 1.241711e-38 6.624543e-44 7.393090e-37 7.661471e-41 3.574530e-36
 [6] 1.347607e-38 1.991648e-41 2.136255e-34 3.732587e-27 6.327181e-32
[11] 6.536771e-33 3.014647e-26 6.855876e-30 1.019528e-44 3.584142e-35
[16] 3.098036e-42 1.713480e-42 9.962027e-43 2.501953e-35 3.835452e-21
[21] 8.969211e-45 7.890783e-39 9.636860e-44 6.957125e-38 2.089608e-38
[26] 2.288727e-45 3.715312e-40 1.590984e-36 9.747666e-44 1.550764e-42
[31] 7.858552e-45 1.507707e-30 7.183579e-28 9.651302e-39 1.692564e-45
[36] 5.559853e-37 9.539306e-45 2.737013e-21 7.701223e-42 1.128273e-43

$hatpai[[22]]
 [1] 8.152175e-37 6.503215e-40 2.245561e-45 8.136566e-24 3.412790e-44
 [6] 6.627352e-37 1.567686e-28 6.361560e-42 2.655127e-38 2.002858e-34
[11] 9.418323e-40 2.955047e-28 1.380466e-37 3.602223e-39 1.448761e-44
[16] 2.447242e-43 1.552452e-40 6.050033e-44 1.723313e-44 3.805415e-37
[21] 2.152904e-44 1.363249e-43 1.135869e-37 2.321963e-31 4.322445e-33
[26] 2.479877e-29 6.109245e-44 6.714403e-41 1.618594e-41 6.064557e-39
[31] 7.395298e-42 8.226332e-35 3.587579e-43 9.178456e-32 4.145538e-40
[36] 1.756036e-39 1.640989e-28 2.764054e-37 7.236551e-44 9.419855e-40
[41] 7.415521e-42 4.063308e-34 1.572638e-31 7.430039e-35 6.251868e-42
[46] 1.441509e-44 2.774291e-45 7.298882e-42 9.410438e-25 2.217235e-43
[51] 4.986328e-35 1.418339e-45 3.151578e-38 7.979656e-45 4.008914e-39
[56] 3.369177e-42 1.771818e-42 1.114592e-33 2.343236e-39 8.506434e-44
[61] 1.282433e-34 2.835366e-36 1.079146e-32 5.057457e-35 8.427549e-39
[66] 5.657038e-37 1.297077e-37 4.671072e-34 6.312447e-45 2.315060e-39
[71] 9.007606e-40 4.149845e-44 1.125855e-34 8.501769e-41 4.768200e-41
[76] 4.003944e-28 2.226704e-31 3.156349e-38 9.431409e-46 4.274187e-30
[81] 3.190239e-39 5.995692e-44 1.895740e-41 2.423198e-45

$hatpai[[23]]
 [1] 1.395358e-43 9.233985e-27 1.337121e-40 1.393302e-41 3.191313e-40
 [6] 2.978290e-43 1.358535e-36 3.030920e-31 1.613399e-41 2.725849e-39
[11] 5.072378e-36 2.040822e-35 4.031509e-32 7.540355e-40 2.728617e-41
[16] 3.890011e-43 7.468703e-42 9.567981e-32 3.299151e-40 4.935842e-28
[21] 2.564436e-36 2.288264e-33 7.794501e-42 2.423927e-43 1.940801e-35
[26] 5.016378e-39 1.217883e-34 1.265346e-43 4.703946e-37 2.061423e-41
[31] 1.872575e-38 4.597916e-39 1.344457e-40 2.625934e-36 4.132701e-40
[36] 4.572533e-33 2.388496e-43 2.222804e-41 2.051700e-29 1.759969e-43
[41] 3.092248e-40 2.325396e-43 9.042907e-24 1.551018e-31 5.075801e-42
[46] 5.761860e-43 6.611687e-44 4.305350e-43 5.998943e-39 2.206392e-43
[51] 1.028510e-37 7.187235e-34 1.116866e-36 4.377916e-38 6.392080e-39
[56] 3.649484e-32

$hatpai[[24]]
 [1] 2.917175e-42 1.939468e-41 3.138524e-35 9.231794e-44 9.264611e-43
 [6] 2.227386e-43 5.783961e-40 1.137498e-35 4.842747e-41 7.256280e-35
[11] 3.480132e-34 8.359592e-18 1.017330e-40 8.201259e-39 1.115535e-33
[16] 3.648022e-35 1.576523e-41 5.343342e-40 4.185563e-28 1.119357e-35
[21] 2.755175e-36 1.670697e-40 2.895598e-40 5.491520e-30 3.170391e-42
[26] 6.353141e-38 1.748359e-33 2.548601e-40 8.836047e-29 1.047112e-42
[31] 9.077265e-32 4.949647e-31 1.106060e-34 1.915210e-43 4.286371e-43
[36] 7.652576e-41 1.883253e-34 7.207342e-31 1.537876e-29 4.219361e-35
[41] 4.755290e-37 1.349006e-40 5.957656e-35 1.800325e-40 8.104346e-44
[46] 9.560999e-37 1.446388e-27 1.877733e-34 1.211488e-37 9.781535e-43
[51] 5.730704e-31 3.609003e-33 2.052230e-29 2.684876e-35 6.374256e-41
[56] 2.681873e-38 7.510515e-34 3.491870e-41 1.041764e-37 9.101432e-31
[61] 9.638449e-43 2.494321e-43 3.573022e-42 3.147170e-35 4.886745e-34
[66] 9.617912e-42 1.356828e-34

$hatpai[[25]]
  [1] 1.916062e-35 1.602400e-41 1.687229e-34 9.983686e-38 1.111620e-38
  [6] 6.294708e-32 6.106031e-45 6.188009e-34 2.148915e-23 2.539384e-38
 [11] 1.751469e-43 3.210347e-38 3.272235e-38 2.318713e-39 1.933702e-44
 [16] 8.612810e-37 7.910573e-39 2.135122e-30 3.828004e-28 6.589096e-44
 [21] 2.333613e-38 8.649456e-26 2.086542e-41 2.711908e-40 2.702560e-32
 [26] 6.396379e-24 3.102216e-37 4.143621e-31 9.146434e-35 1.323519e-35
 [31] 6.526056e-40 1.093380e-41 5.285767e-44 1.230772e-39 1.014353e-35
 [36] 2.368074e-39 5.205157e-36 8.155073e-44 5.475832e-44 8.500204e-40
 [41] 1.760543e-40 6.616375e-32 7.670955e-40 1.260127e-33 4.148841e-35
 [46] 6.335672e-40 2.175712e-38 3.486275e-41 3.103544e-44 6.036522e-37
 [51] 6.270584e-40 9.921425e-45 4.275657e-42 9.167003e-37 4.214070e-36
 [56] 3.144530e-37 5.177479e-22 5.286092e-37 1.265190e-36 1.910352e-38
 [61] 1.336342e-41 1.161406e-43 5.148091e-35 8.918484e-39 8.786648e-45
 [66] 3.466908e-42 1.782599e-33 1.035328e-43 1.098428e-42 7.827664e-33
 [71] 1.662801e-39 1.909929e-43 1.904350e-39 1.398328e-41 8.273924e-30
 [76] 4.754269e-44 3.231667e-44 2.349606e-44 1.732627e-37 3.162728e-38
 [81] 1.708272e-43 4.693751e-40 9.955435e-34 2.953487e-43 7.110887e-40
 [86] 4.673467e-32 7.916823e-39 1.815300e-29 8.545556e-37 2.398252e-43
 [91] 3.527218e-40 4.344045e-42 1.763340e-33 8.311835e-42 3.264686e-30
 [96] 4.797397e-44 3.612248e-41 1.485167e-44 2.295600e-37 7.573583e-45

$hatpai[[26]]
 [1] 3.717106e-23 5.870563e-36 1.211036e-29 5.455669e-29 7.149743e-34
 [6] 1.481340e-35 8.426036e-30 4.029269e-30 2.744600e-34 3.901887e-31
[11] 2.389504e-38 3.657687e-43 1.759660e-33 4.947945e-34 8.273984e-39
[16] 1.632054e-42 4.751100e-33 3.881145e-41 2.488793e-42 6.465524e-38
[21] 2.544419e-29 1.805362e-37 9.528021e-42 3.185247e-39 4.027552e-34
[26] 1.315110e-40 5.880298e-26 6.926636e-40 1.758033e-39 5.177125e-43
[31] 8.899726e-38 3.820245e-24 4.488223e-43 1.484746e-43 8.712429e-42
[36] 1.815112e-43 8.408179e-26 8.409069e-41 6.784198e-44 1.914109e-39
[41] 1.729416e-18 3.351558e-40 7.151713e-43 2.720791e-43 2.377870e-38
[46] 4.996521e-41 1.812364e-35 1.723216e-37 2.787572e-36 5.123379e-35
[51] 1.540348e-36 9.528061e-41 1.059125e-43 2.714445e-32 2.497048e-38
[56] 8.525164e-41 5.617004e-32 3.532085e-38 1.065969e-43 9.018192e-32
[61] 1.101252e-41 1.011157e-42 1.287063e-42 2.138237e-32 1.020126e-42
[66] 2.510947e-43 1.159832e-37 3.913160e-40 2.214713e-29 3.237154e-40
[71] 4.537778e-36 1.920775e-31 2.715524e-40 5.829427e-41 3.531085e-42
[76] 2.737661e-43 8.184339e-29 6.353918e-41 7.358896e-31 7.857611e-40
[81] 1.714783e-39 5.317783e-39 5.919500e-20 2.157133e-43 2.134080e-39
[86] 1.813721e-40 3.209185e-40 2.948508e-37 1.998927e-35 1.057871e-42
[91] 2.451405e-29 1.559593e-39 1.038605e-40 2.458196e-38 2.243891e-38

$hatpai[[27]]
 [1] 1.179884e-34 2.308794e-41 2.198430e-44 1.796478e-30 4.681403e-42
 [6] 1.213610e-26 1.289966e-42 3.370272e-39 1.223701e-36 1.759799e-30
[11] 1.113055e-38 9.548456e-32 6.817388e-31 2.192147e-37 3.324073e-42
[16] 6.997142e-42 4.333019e-29 7.083336e-36 3.897916e-44 4.578532e-39
[21] 3.816003e-35 6.355732e-35 3.643221e-44 9.072059e-34 5.683406e-45
[26] 1.947435e-38 9.729901e-33 1.933883e-32 7.478267e-44 7.007838e-27
[31] 9.309934e-31 2.978366e-27 1.369679e-43 1.396523e-32 5.754945e-30
[36] 4.065415e-44 3.810987e-45 1.994648e-43 5.842796e-39 8.214598e-38
[41] 8.348023e-27 9.284632e-45 1.378855e-39 1.153402e-43 3.669684e-43
[46] 6.034669e-37 7.258630e-44 5.880055e-31 4.388566e-41 1.948418e-30
[51] 1.645350e-43 5.168689e-40 9.909217e-44 1.890287e-32 6.306371e-28
[56] 1.415529e-44 6.886400e-39 1.079732e-38 8.923346e-42 6.858701e-40
[61] 3.638637e-36 7.924402e-40 5.513205e-43 1.062178e-30 1.438481e-40
[66] 2.862441e-37 4.318670e-41 6.805578e-37 2.586047e-42 2.406737e-44
[71] 1.925599e-33 7.067787e-45 1.114470e-41 7.570324e-43 4.350636e-37
[76] 3.531563e-33 1.043694e-43 1.113519e-39 1.390552e-41 2.904867e-37
[81] 2.281659e-41 1.945937e-42 1.181115e-44 6.427906e-27 8.531434e-44
[86] 8.413180e-45 7.825368e-43 1.005176e-35 2.630122e-35 4.879691e-41
[91] 5.630986e-44 5.630678e-26 8.710274e-40

$hatpai[[28]]
[1] 7.011309e-40 1.522670e-44 2.307053e-43 1.735107e-41 3.066395e-42

$hatpai[[29]]
 [1] 1.206987e-43 8.594437e-36 5.846111e-33 2.952150e-40 5.345761e-38
 [6] 6.562020e-37 2.742440e-34 5.074792e-45 8.412714e-41 1.285817e-38
[11] 1.164884e-33 1.246297e-36 2.214070e-36 3.489307e-40 7.496329e-43
[16] 4.170030e-33 2.959355e-42 1.437993e-45 4.086733e-45 1.066987e-43
[21] 4.625633e-44 1.617466e-37 3.174068e-45 4.342731e-38 1.280740e-44
[26] 8.012701e-44 2.409427e-45 4.754594e-32 1.501216e-40 2.622875e-29
[31] 2.006851e-35 2.871322e-29 4.157563e-33 3.088874e-39 1.202408e-40
[36] 6.520801e-43 2.619170e-42 1.496899e-41 4.662222e-34 6.496190e-41
[41] 1.216110e-40 2.524743e-42 3.369500e-40 1.353713e-34 1.162589e-38
[46] 1.455649e-43 1.200115e-32 1.572187e-19 4.221917e-37 2.609407e-34
[51] 2.020228e-28 1.049787e-43 1.144017e-38 3.358108e-42 3.729539e-40
[56] 2.502220e-40 9.113772e-42 1.885806e-43 3.493662e-37 1.132338e-35
[61] 5.760782e-28 3.518040e-43 2.956836e-38 7.693869e-44 2.532827e-32
[66] 5.584984e-38

$hatpai[[30]]
 [1] 6.848265e-36 2.585506e-43 9.624149e-44 1.973521e-41 4.767247e-39
 [6] 3.211253e-38 1.713877e-41 1.868462e-35 1.689575e-33 2.399572e-38
[11] 2.355160e-43 1.241890e-34 6.723672e-37 2.844646e-38 9.295403e-32
[16] 6.894295e-26 8.311906e-37 3.514450e-40 3.288028e-36 4.989944e-35
[21] 1.580605e-27 2.308168e-21 2.958769e-33 1.494596e-32 1.727358e-42
[26] 4.276615e-39 1.061731e-33 9.258333e-36 4.898296e-38 4.548825e-25
[31] 6.017303e-38 9.232160e-35 6.264258e-37 1.341865e-29 2.114053e-43
[36] 7.396634e-43 1.547130e-39 3.313767e-35 9.470220e-37 5.126818e-40
[41] 7.621869e-28 5.463145e-40 5.260041e-43 1.457328e-33 4.551656e-43
[46] 2.654974e-40 1.352181e-40

$hatpai[[31]]
 [1] 1.070387e-38 3.799495e-38 6.776360e-45 8.811717e-44 6.325248e-38
 [6] 1.686860e-34 1.621929e-39 5.047761e-28 6.929777e-46 2.594531e-40
[11] 1.384828e-44 1.706246e-35 1.491738e-41 1.615686e-41 1.810453e-33
[16] 7.502595e-43 1.326981e-41 2.229748e-38 1.252682e-44 1.471798e-35
[21] 3.197683e-46 3.167319e-34 1.013344e-42 2.749564e-46 1.125143e-39
[26] 3.582506e-32 3.484317e-34 2.522236e-38 3.688409e-44 3.764678e-46
[31] 2.512766e-35 1.928480e-35 6.843884e-43 1.566845e-27 6.885087e-32
[36] 7.543256e-37 5.119402e-41 1.347646e-44 1.156530e-45 2.762106e-30

$hatpai[[32]]
 [1] 1.268232e-44 3.183682e-41 1.583750e-38 1.278379e-38 1.094717e-29
 [6] 3.846924e-38 2.193965e-36 1.106112e-44 1.501459e-27 4.783526e-43
[11] 1.287281e-35 1.815127e-25 1.126675e-29 8.000431e-32 6.148204e-40
[16] 3.600840e-42 1.152960e-38 4.108084e-40 2.429896e-43 3.089695e-41
[21] 3.295053e-44 1.163504e-34 1.882381e-34 1.032194e-29 8.574693e-27
[26] 1.097202e-36 2.719732e-43 7.925307e-44 3.233008e-42 1.322276e-42
[31] 1.656159e-44 3.535012e-27 7.293838e-45 7.425821e-43 3.899294e-36
[36] 5.741476e-29 1.028182e-41 1.550054e-17 1.126631e-29 1.299796e-38
[41] 6.931404e-36 7.896617e-45 1.731065e-43 8.876854e-30 8.047515e-37
[46] 5.467300e-36 3.328402e-34 4.934936e-38 4.296490e-38 1.501263e-33
[51] 2.934518e-43 6.673014e-40 7.662703e-38 1.576900e-41 1.859063e-34
[56] 1.906310e-43 9.976636e-42 1.248641e-31 3.171721e-40 3.616765e-42
[61] 1.095483e-38 7.204588e-39 8.362146e-45 1.915761e-40 2.642362e-41
[66] 1.085971e-33 3.780959e-42 1.890092e-42 8.698654e-27 1.522519e-42
[71] 8.625733e-44 1.270510e-29 3.605700e-40 2.115842e-43 7.017249e-40
[76] 6.326187e-40 1.730051e-30 4.248953e-36 7.011556e-41 1.273035e-31
[81] 1.401158e-43 1.850947e-35 8.286039e-31 6.805553e-43

$hatpai[[33]]
 [1] 2.936106e-40 4.154103e-35 1.519071e-41 1.615486e-33 4.301316e-38
 [6] 6.615896e-31 5.591387e-29 2.003866e-36 6.031935e-40 3.954773e-43
[11] 5.730484e-41 5.624982e-40 1.888392e-41 4.147352e-39 6.465727e-32
[16] 2.042576e-32 1.791676e-36 7.704471e-43 5.546340e-38 2.268101e-29
[21] 1.445519e-37 1.554802e-42 5.570001e-28 5.441574e-42 1.228781e-40
[26] 1.541754e-33 3.698530e-45 4.003911e-33 9.599953e-45 3.754827e-37
[31] 5.909653e-26 6.880444e-25 1.070546e-34 9.695014e-37 8.340579e-27
[36] 1.040407e-36 3.862668e-39 5.236255e-36 7.489392e-38 1.371689e-36
[41] 4.666496e-31 1.840892e-29 3.489806e-43 4.211957e-25 2.728543e-28
[46] 1.356259e-44 6.941176e-38 3.689389e-39

$hatpai[[34]]
[1] 7.500306e-32 9.353321e-40 7.995215e-39

$hatpai[[35]]
 [1] 6.489752e-45 2.139745e-43 1.391468e-40 2.109303e-34 4.313353e-42
 [6] 6.665479e-27 1.173067e-39 8.310370e-36 2.779029e-31 1.302547e-44
[11] 8.880332e-29 1.932135e-39 1.351268e-39 9.266265e-34 3.629096e-43
[16] 3.038213e-37 3.045593e-36 2.002394e-35 4.003043e-38 2.555957e-43
[21] 1.857373e-35 1.953607e-40 6.949896e-42 2.183867e-40 1.104906e-40
[26] 1.821594e-40 4.328256e-44 8.729550e-45 4.279342e-41 1.925585e-34
[31] 1.700117e-35 1.302010e-42 5.105495e-40 1.618080e-43 7.550836e-28
[36] 4.069298e-38 1.073776e-42 2.333107e-39 1.952695e-26 3.289887e-34
[41] 2.224475e-32 1.040242e-41 1.642442e-44 3.581871e-40 1.726354e-40
[46] 2.919465e-34 6.623754e-44 9.928740e-41 2.308207e-43 4.908924e-30
[51] 2.205524e-41 2.734518e-41 2.213859e-38 1.260387e-39 4.460664e-34
[56] 1.299227e-39 7.037741e-39 5.183580e-17 1.435672e-35 1.506850e-43
[61] 5.265613e-45 2.053213e-38 1.678145e-42 5.811662e-45 4.261567e-29
[66] 3.851269e-28 1.607168e-39 3.461324e-24 1.365966e-41 9.942485e-30
[71] 1.156070e-29 2.225239e-42 1.845740e-30 2.308890e-40 5.422132e-33
[76] 5.239900e-36 3.178352e-39 2.148618e-43 2.096948e-32 9.018514e-23
[81] 5.217623e-44 8.883871e-35 2.203207e-41 8.690692e-42 5.598110e-40
[86] 2.306488e-32 2.233483e-44

$hatpai[[36]]
 [1] 1.075426e-43 2.118351e-37 4.046913e-42 1.450608e-35 6.730803e-43
 [6] 1.629381e-27 5.915373e-40 1.417628e-41 3.009419e-34 6.528029e-28
[11] 1.392627e-28 3.929373e-40 2.449809e-43 9.181984e-41 3.027333e-42
[16] 6.011333e-40 1.112191e-39 3.001704e-33 6.684871e-42 9.199267e-31
[21] 2.072322e-27 2.151409e-40 2.104314e-36 6.828180e-43 5.836911e-43
[26] 7.497546e-38 1.108931e-29 7.897197e-28 1.196491e-36 6.554184e-28
[31] 6.565883e-41 6.973552e-30 4.283222e-43 2.537497e-42 3.420517e-36
[36] 7.338344e-35 2.712138e-38 2.778485e-40 1.500825e-30 1.357356e-28
[41] 5.357768e-42

$hatpai[[37]]
  [1] 1.398058e-43 2.468014e-45 2.771532e-42 3.453985e-39 1.577315e-39
  [6] 2.899858e-33 3.158896e-25 4.425792e-23 6.702712e-44 6.399797e-45
 [11] 1.971946e-40 1.015889e-41 9.306688e-24 3.702479e-44 3.102128e-45
 [16] 7.618493e-35 5.396093e-39 7.928036e-44 6.267412e-44 2.429720e-43
 [21] 1.181807e-32 1.204597e-39 2.242335e-41 1.267651e-35 9.053774e-44
 [26] 2.768179e-33 2.079233e-33 6.540697e-34 5.508016e-38 2.584329e-44
 [31] 6.344856e-42 2.656649e-37 1.368306e-43 1.278613e-26 1.352738e-38
 [36] 1.109787e-42 3.922039e-33 1.760086e-35 1.000413e-42 1.209739e-44
 [41] 1.414423e-32 6.668188e-43 1.232722e-30 1.221599e-36 8.967109e-35
 [46] 1.570923e-43 1.823497e-36 5.070932e-24 1.321004e-33 6.989237e-44
 [51] 1.771260e-44 1.013731e-40 9.166752e-39 2.947847e-41 4.710394e-41
 [56] 2.745254e-42 2.696035e-40 2.473246e-44 2.996346e-37 3.172766e-41
 [61] 1.891019e-41 4.791566e-39 1.629259e-44 1.394646e-43 6.279695e-34
 [66] 7.390559e-25 2.591376e-36 9.931090e-40 2.473940e-39 1.915793e-39
 [71] 1.416287e-43 8.497021e-29 4.324773e-35 5.867514e-29 1.381096e-42
 [76] 1.435421e-35 1.242806e-40 6.982007e-35 7.817489e-42 1.282070e-41
 [81] 1.392623e-41 2.958794e-37 3.643043e-33 8.027709e-33 5.640667e-32
 [86] 5.546709e-40 4.425405e-28 1.315687e-25 5.151777e-42 2.235243e-35
 [91] 4.766961e-42 4.686121e-38 1.328779e-42 2.993153e-44 1.000680e-33
 [96] 3.852449e-43 3.191202e-39 1.294647e-39 6.564479e-40 3.852187e-45

$hatpai[[38]]
 [1] 1.000725e-36 9.488913e-40 1.374933e-34 2.632154e-36 2.145489e-31
 [6] 1.414542e-43 5.494349e-41 3.745881e-42 4.562504e-42 6.778419e-27
[11] 1.127618e-41 1.431259e-31 8.413681e-42 3.377384e-31 6.647744e-33
[16] 5.822969e-35 3.900414e-43 4.900144e-43 6.889337e-33 9.734057e-29
[21] 2.829243e-34 5.096169e-28 2.379691e-39 5.611020e-40 3.491276e-27
[26] 1.945217e-36 9.330359e-35 2.382463e-41 6.204652e-39 3.916334e-32
[31] 1.800367e-34 8.740527e-40 6.300390e-42 1.193826e-41 4.198762e-40
[36] 5.746884e-35 3.367700e-39 1.295679e-43 3.545099e-19 7.158575e-34
[41] 2.289938e-41 1.220464e-30 4.078497e-42 5.971463e-35 6.950568e-23
[46] 1.117450e-38 1.023312e-23 7.083242e-37 9.097138e-31 7.213450e-40
[51] 2.305876e-37 3.108797e-30 6.284617e-34 1.248955e-36 9.391621e-31
[56] 8.818598e-41 1.408035e-40 3.870123e-25 2.870088e-38 2.554177e-41
[61] 3.743046e-34 3.718715e-42 1.956481e-25 8.843696e-37 4.253967e-32
[66] 3.275565e-43 5.797792e-28 9.878914e-44 2.294542e-39 3.811186e-33
[71] 8.493463e-40 5.882051e-42

$hatpai[[39]]
 [1] 1.519388e-39 7.234938e-31 7.806765e-40 2.141951e-45 7.704992e-47
 [6] 3.513566e-39 4.513584e-33 1.123374e-31 2.068575e-45 7.911928e-39
[11] 2.242217e-39 1.521397e-42 2.656901e-36 3.219428e-37 4.811022e-42
[16] 1.058021e-40 1.679755e-45 1.968541e-40 8.954290e-45 3.167351e-36
[21] 4.416679e-31 7.158344e-43 1.030617e-43 1.187375e-38 8.011576e-29
[26] 1.346450e-43 1.362776e-42 3.319596e-40 1.465858e-32 4.392140e-47
[31] 2.151000e-26 2.450287e-43

$hatpai[[40]]
 [1] 8.633150e-45 4.448735e-29 6.436743e-25 2.101838e-33 2.063561e-40
 [6] 6.053171e-36 1.304624e-36 2.606223e-38 1.511212e-37 1.888313e-36
[11] 6.933384e-40 8.808172e-44 3.831009e-45 2.413212e-38 4.798858e-27
[16] 3.857958e-34 6.371449e-45 6.545014e-39 2.141427e-45 1.109176e-44
[21] 9.277124e-46 2.654440e-19 2.291292e-24 1.335751e-39 5.262187e-38
[26] 2.513136e-45 7.345960e-39 1.092949e-44 1.170360e-39 3.669426e-44
[31] 9.624933e-32 3.791722e-32 6.022126e-29 1.210875e-32 7.170526e-32
[36] 1.075619e-29 1.309078e-45 1.328579e-44 7.743982e-33 1.515073e-28
[41] 8.332122e-35 3.144780e-31

$hatpai[[41]]
 [1] 2.810663e-42 4.128891e-43 1.522362e-43 3.352600e-40 5.960951e-32
 [6] 8.331297e-43 3.985600e-35 6.227332e-43 2.916671e-38 4.901936e-42
[11] 4.464840e-31 2.801714e-29 2.229455e-33 9.460722e-32 1.554039e-30
[16] 6.041688e-44 3.199290e-43 1.420945e-38 3.271998e-31 3.544292e-42
[21] 1.728295e-41 2.236809e-29 5.757721e-43 4.001060e-27 9.460177e-31
[26] 1.641403e-32 4.223744e-35 4.552453e-35 1.436871e-31 1.914745e-44
[31] 7.742138e-43 1.134964e-35 5.537397e-40 4.908715e-33 6.413499e-43
[36] 5.889607e-34 2.480440e-33 7.087596e-33 1.298599e-41 2.243402e-40
[41] 3.741906e-43 3.775418e-43 1.940340e-34

$hatpai[[42]]
[1] 3.524020e-36 2.008499e-36

$hatpai[[43]]
 [1] 3.192126e-40 2.742902e-28 2.695593e-41 9.151017e-43 1.394638e-38
 [6] 4.699073e-43 4.821543e-35 2.708785e-39 2.466690e-37 9.916623e-43
[11] 9.022006e-44 3.230773e-41 1.860750e-43 5.389902e-42 2.026466e-25
[16] 5.004047e-42 1.201195e-39 2.361076e-39 1.838664e-42 4.769254e-42
[21] 4.696148e-41 5.436170e-43 1.032744e-26 7.585839e-27 1.128885e-39
[26] 8.173428e-40 4.297539e-38 4.182152e-44 3.204117e-36 8.491614e-38
[31] 8.432584e-25 7.140808e-33 1.190130e-39 4.141925e-39 3.631698e-42
[36] 2.277194e-26 1.835453e-42 9.684892e-25 3.636687e-43 2.991958e-31
[41] 1.565237e-43 1.728774e-41 1.871846e-42 1.020111e-43 4.613757e-38
[46] 3.479435e-40 1.384713e-29 2.299980e-33 8.377789e-38 6.449320e-36
[51] 1.568015e-43 5.283383e-44 6.702835e-40 2.516243e-36 4.978341e-44
[56] 3.040156e-38 2.156688e-38 1.270561e-41 1.683183e-31 8.040103e-42
[61] 3.583371e-39 1.464962e-38 1.407387e-44 4.208335e-28 3.383107e-27
[66] 2.585470e-40 4.065916e-27 3.411674e-36 2.731140e-41 4.055381e-24
[71] 2.939703e-40 1.853442e-44 7.197018e-33 2.668417e-29 2.171269e-32
[76] 5.595311e-31 4.006279e-40 4.342770e-34 2.893944e-44

$hatpai[[44]]
 [1] 8.930694e-30 1.616615e-43 3.082474e-40 4.544657e-43 5.573170e-39
 [6] 4.603108e-43 1.811200e-42 1.420564e-45 3.501537e-20 1.750537e-36
[11] 6.137703e-42 9.749847e-43 3.765403e-37 1.875731e-25 1.003753e-34
[16] 2.161414e-45 6.339560e-38 1.218891e-42 2.653529e-40 3.013331e-46
[21] 2.505627e-39 6.409106e-44 1.789590e-30 1.289752e-31 1.887774e-42
[26] 4.178220e-32 5.984729e-41 2.942468e-38 1.427309e-37 3.488794e-32
[31] 4.326102e-34 8.717108e-40 9.293052e-41 1.448594e-44 3.354458e-31
[36] 4.018486e-41 4.044674e-34 1.629653e-45 1.665835e-30 3.730856e-41
[41] 1.876012e-41 9.094360e-37 1.092816e-36 7.703129e-44 4.702597e-43
[46] 3.172670e-45 2.372616e-40 4.872017e-39 2.912807e-30 3.836869e-35
[51] 3.978370e-43 3.262183e-44 1.511091e-30 1.222633e-44

$hatpai[[45]]
 [1] 3.580720e-39 2.617842e-33 5.653547e-42 1.048084e-22 3.274371e-34
 [6] 2.554082e-30 1.581102e-32 9.863962e-36 5.419444e-42 8.837081e-43
[11] 3.340961e-43 3.392674e-37 2.371066e-42 2.769389e-37 5.334814e-32
[16] 5.706373e-42 3.706195e-41 1.747698e-41 3.202948e-36 2.763142e-35
[21] 1.199984e-39 2.361183e-32 1.484700e-39 6.383684e-33 3.499391e-41
[26] 2.819887e-38 1.009401e-41 2.109725e-43 2.563069e-30 1.437887e-42
[31] 2.340851e-40 6.031639e-43 1.545633e-40 3.015226e-24 2.533136e-42
[36] 6.232642e-43 3.153613e-41 1.159760e-42 6.626373e-31 2.681327e-33
[41] 4.450476e-41 1.345675e-33 7.592375e-38 1.005552e-39 2.179023e-36
[46] 7.192244e-19 1.219167e-39 1.452152e-41 7.371854e-35

$hatpai[[46]]
 [1] 2.036347e-40 1.767502e-35 3.317478e-40 1.101781e-41 6.832800e-42
 [6] 1.843036e-40 6.913349e-37 7.760803e-31 8.440180e-26 1.328486e-43
[11] 3.219685e-40 3.969988e-43 9.119344e-32 1.101773e-38 4.611666e-43
[16] 1.396009e-34 1.267675e-40 2.024418e-26 6.523508e-30 9.730289e-36
[21] 5.519593e-43 3.128962e-27 1.126506e-30 1.072854e-28 1.250998e-36
[26] 1.711878e-37 2.009679e-24 6.525932e-42 3.760288e-31 1.441039e-37
[31] 4.161309e-40 6.676368e-36 5.818641e-34 1.195534e-43 1.787802e-29
[36] 3.640694e-36 1.442327e-38 1.928614e-34 4.554455e-33 3.191075e-41
[41] 1.362585e-39 3.088987e-41 1.135925e-37 6.366096e-44 1.753833e-42
[46] 4.019674e-38 1.403793e-28 9.772674e-40 5.830522e-38 7.804980e-32
[51] 6.129397e-35 2.124488e-41 3.709450e-41 1.819165e-35 1.582410e-41
[56] 2.028952e-17

$hatpai[[47]]
 [1] 2.642870e-39 1.311043e-43 5.972799e-44 4.254210e-44 2.765194e-32
 [6] 6.609518e-33 3.146611e-43 5.078691e-43 4.489005e-39 5.186922e-39
[11] 6.156711e-44 8.959972e-43 2.876730e-31 2.567939e-39 3.512290e-34
[16] 8.916859e-36 1.410380e-33 2.276152e-43 1.747003e-35 1.350422e-43
[21] 3.761556e-40 9.388979e-23 1.892500e-41 1.434940e-37 5.828110e-41
[26] 3.084667e-38 5.467389e-35 4.898028e-40 6.017288e-34 2.213540e-38
[31] 6.538775e-36 9.403718e-32 2.516383e-34 6.466273e-21 1.160493e-34
[36] 9.633226e-40 8.748515e-27 7.099166e-37 8.464699e-30 3.078003e-32
[41] 3.992030e-34 6.691892e-39 1.803389e-36 2.207031e-26 2.315677e-35
[46] 1.010671e-41 8.985125e-43 3.875260e-32 3.684268e-41 1.526329e-43
[51] 7.013357e-37

$hatpai[[48]]
[1] 1.459667e-36 1.711318e-32 9.130791e-35 1.170664e-31 3.819627e-40
[6] 1.391366e-44

$hatpai[[49]]
 [1] 3.816068e-33 2.672990e-45 4.229897e-43 1.414953e-45 1.166478e-39
 [6] 1.472400e-35 2.057145e-42 7.792647e-45 2.969723e-31 1.807260e-39
[11] 1.082642e-44 4.509460e-40 1.863466e-43 4.374123e-45 4.032364e-40
[16] 4.593459e-46 1.326671e-39 9.944888e-42 1.987633e-33 3.490067e-45
[21] 9.234230e-39 8.453596e-45 2.105043e-39 2.043371e-36 3.150232e-31
[26] 1.774483e-42 5.550217e-45 4.106369e-46 3.061210e-40 1.161323e-33
[31] 1.069391e-41 4.315843e-34 4.256316e-44 6.121888e-27 2.827960e-31
[36] 6.164990e-40 7.286233e-44 1.320780e-44 7.065609e-38 1.316856e-42
[41] 1.709236e-42 1.279957e-37 6.029988e-36 4.060522e-41 7.771068e-30
[46] 8.206651e-46 1.530293e-44 6.065819e-42 5.728150e-45

$hatpai[[50]]
 [1] 1.139808e-32 2.050702e-28 7.518066e-41 5.258831e-37 5.912003e-38
 [6] 5.013670e-42 6.265909e-39 1.464327e-34 1.672811e-36 1.288226e-45
[11] 3.526031e-44 1.859631e-40 8.143558e-37 6.444392e-44 3.709902e-44
[16] 4.569033e-32 6.072575e-38 1.509243e-40 5.526841e-43 1.277883e-45
[21] 9.648919e-34 1.927685e-33 6.951306e-34 2.752672e-45 4.739837e-45
[26] 3.325493e-45 1.272710e-41 8.476426e-46 1.178477e-33 7.960784e-38
[31] 6.602068e-36 6.081291e-40 5.854961e-34 3.000799e-45 6.401156e-40
[36] 2.850073e-45 3.070246e-37 3.773278e-29 8.159310e-42 2.655182e-45
[41] 1.170406e-42 5.365639e-44 3.330995e-44 1.587165e-35 2.379279e-40
[46] 4.069492e-43 1.727197e-45 1.010343e-39 6.315890e-31 3.137931e-38
[51] 2.975698e-33 1.219505e-40 1.400447e-45 1.128815e-31 5.402137e-45
[56] 1.073047e-43 4.393147e-39 3.644076e-45 2.002072e-37 3.061652e-45
[61] 6.459413e-44 1.526454e-41 3.632934e-39 1.305067e-30 3.095649e-38
[66] 2.307662e-42 2.137862e-44 7.070018e-30 5.652290e-35 5.234916e-45
[71] 4.101125e-24 1.174641e-42 6.017330e-35 1.586005e-43 3.115372e-34
[76] 9.756835e-33 3.920599e-44 5.370803e-35 7.229005e-42 2.635823e-34
[81] 8.257797e-28 1.454548e-39 3.938846e-42 9.312524e-44 2.439648e-36
[86] 6.873451e-46 2.620678e-36 1.619814e-38 5.441571e-45 2.827865e-45
[91] 1.576711e-38 2.120069e-42 6.774528e-41

$hatpai[[51]]
 [1] 1.668219e-31 5.323458e-45 1.399150e-39 6.883080e-47 3.978281e-46
 [6] 9.185608e-44 4.222462e-46 9.071970e-40 1.083314e-38 2.737668e-45
[11] 8.282186e-43 2.631675e-31 2.806756e-38 7.957405e-39 1.462723e-45
[16] 3.973840e-32 3.003700e-32 7.736194e-40 4.140867e-47 3.034968e-42
[21] 6.092099e-36 3.513936e-28 5.648957e-39 1.230630e-35 1.960483e-39
[26] 3.231929e-37 6.536926e-25 5.059451e-41 3.171344e-36 1.407492e-23
[31] 3.794416e-42 2.872541e-35 1.303639e-37 1.646359e-40 1.803919e-42
[36] 8.834384e-44 1.239561e-44 6.206223e-39 6.899727e-47 2.941320e-39
[41] 1.207071e-46 1.218013e-36 7.402075e-40 1.072590e-42 8.785338e-41
[46] 2.190517e-30 1.915808e-46 6.356181e-44 6.748493e-33 8.621859e-46
[51] 9.300880e-42 3.493986e-42 5.026072e-41 3.506534e-44 8.126116e-44
[56] 1.991589e-30 5.560291e-37 4.553890e-41 2.539791e-44 3.497802e-45
[61] 7.593113e-37 2.921249e-39 5.480418e-33 1.352311e-46 1.564380e-45
[66] 4.229436e-45 1.580348e-39 8.117536e-42 7.428109e-39 6.462198e-45
[71] 3.258342e-34 2.887008e-35 7.538457e-41 4.700240e-40 1.232309e-39
[76] 4.078768e-42 4.296838e-41 1.901367e-36 5.492237e-44 3.128582e-39
[81] 1.792444e-42 6.573533e-43 4.952725e-38 6.087821e-42 1.435323e-36
[86] 8.340388e-43 2.010812e-39 6.546093e-28 6.394945e-40 2.514533e-47
[91] 5.852874e-46 6.563293e-39 4.080537e-27 3.215331e-40 2.808665e-46
[96] 2.627544e-40

$hatpai[[52]]
 [1] 6.117045e-30 3.522828e-35 2.701982e-41 1.047974e-42 7.789495e-40
 [6] 8.886820e-40 4.558813e-24 6.479217e-38 6.351302e-40 4.064693e-30
[11] 3.756424e-36 8.791703e-38 6.397836e-39 1.259591e-43 1.744378e-33
[16] 2.287259e-42 7.761036e-32 4.879624e-37 2.160023e-37 1.477749e-32
[21] 1.898221e-29 3.832218e-36 1.368010e-31 1.861162e-40 1.793817e-39
[26] 2.766231e-28 3.036405e-37 4.818794e-29 1.838453e-39 4.365410e-42
[31] 8.640325e-37 5.772925e-35 3.874571e-42 5.519317e-38 6.527571e-25
[36] 1.095676e-36 2.772204e-43 1.648135e-39 3.126693e-24 3.188535e-38
[41] 5.856142e-27 2.392190e-40 4.287127e-28 5.764827e-38 3.139852e-43
[46] 1.122138e-37 8.124862e-33 3.342529e-27 4.041816e-42

$hatpai[[53]]
 [1] 9.971339e-27 2.532525e-38 5.100528e-40 4.256658e-27 5.398237e-44
 [6] 3.502427e-44 1.991996e-33 1.223711e-38 2.546014e-32 3.202834e-41
[11] 2.243109e-40 3.428865e-43 9.526355e-40 3.924099e-30 3.000882e-30
[16] 1.076010e-33 2.476996e-44 4.527200e-35 4.211404e-43 1.591441e-39
[21] 2.228408e-40 4.254374e-37 3.294912e-33 1.472948e-36 6.081440e-43
[26] 2.652919e-44 5.249461e-24 1.466734e-29 2.673258e-35 3.632286e-29
[31] 6.110592e-43 6.988479e-29 4.789231e-41 1.051825e-38 9.365649e-34
[36] 6.138324e-40 5.495579e-39 1.739365e-30 8.620901e-30 3.182444e-44
[41] 4.804905e-39 1.150778e-39 4.791919e-36 1.745062e-31 2.177742e-41
[46] 6.046390e-33 2.210536e-39 2.533276e-40 1.120857e-42 6.532621e-38
[51] 1.774899e-43 1.031210e-36 5.174447e-37 7.693965e-41 3.259210e-40
[56] 7.614774e-34 6.655563e-31

$hatpai[[54]]
[1] 4.319975e-39 1.628951e-39 2.734095e-44 1.393932e-38 3.121059e-37
[6] 4.384091e-39 4.331329e-35 2.506071e-45

$hatpai[[55]]
 [1] 7.083712e-44 7.739037e-40 1.430650e-32 1.073079e-42 2.817260e-43
 [6] 1.011937e-33 1.031327e-34 1.055847e-43 6.929265e-41 1.153335e-41
[11] 1.084381e-38 2.333172e-44 8.207116e-44 1.507668e-40 2.413548e-30
[16] 9.725163e-44 1.178214e-43 3.968107e-42 2.448968e-37 1.774313e-31
[21] 8.420917e-20 1.350198e-33 1.849166e-40 1.109224e-28 2.185929e-30
[26] 1.117523e-31

$hatpai[[56]]
 [1] 2.336030e-36 3.957251e-34 5.109057e-44 5.760482e-40 2.092692e-37
 [6] 3.313958e-34 3.073535e-29 6.806770e-43 8.173655e-44 3.200974e-26
[11] 6.400486e-37 7.337081e-43 2.843512e-31 5.388399e-43 4.981043e-40
[16] 5.865940e-32 3.128697e-39

$hatpai[[57]]
 [1] 1.793231e-43 8.965252e-34 1.732158e-44 3.981965e-44 4.293414e-30
 [6] 1.630275e-32 6.824545e-38 1.117420e-28 1.913680e-38 2.154846e-28
[11] 2.301541e-35 3.418295e-37 2.530831e-43 9.541590e-40 2.018844e-33
[16] 4.240785e-33 2.005328e-32 3.407436e-43 1.788603e-43 2.649559e-44
[21] 9.170105e-38 7.409357e-40 1.451433e-41 1.823906e-22 1.987448e-40
[26] 5.403980e-37 1.033238e-32 2.309947e-42 1.232518e-32 5.899944e-41
[31] 6.823877e-40 7.824489e-40 6.552089e-43 5.867700e-40 9.382111e-40
[36] 3.957556e-32 2.894111e-38 6.802117e-34 1.014441e-38 9.635467e-44
[41] 4.092007e-38 8.899512e-33 1.548279e-28 7.804537e-40 5.706754e-36
[46] 5.916607e-36 5.718188e-41 5.297658e-41 3.372184e-43 2.211976e-37
[51] 3.648821e-40 1.138374e-43 1.978941e-42 2.671435e-32 2.223569e-37
[56] 7.811336e-34 3.117819e-43 1.172504e-44 7.670806e-39 2.012394e-39
[61] 7.273708e-37 1.792346e-44 3.528971e-42

$hatpai[[58]]
[1] 1.028029e-45 6.293083e-24 2.576902e-36 7.087886e-40 2.951007e-38
[6] 1.462857e-39 8.056826e-31 2.057989e-34

$hatpai[[59]]
 [1] 6.180798e-44 1.018333e-44 9.283051e-39 8.753232e-34 1.666579e-43
 [6] 2.815748e-33 4.418053e-42 4.157593e-40 2.693848e-37 4.727170e-43
[11] 1.794566e-35 2.297730e-23 1.373225e-36 4.925453e-32 1.866603e-41
[16] 7.979803e-43 9.065635e-42 1.684946e-28 3.123686e-36 3.023174e-39
[21] 1.362111e-43 6.010315e-42 7.435081e-34 8.996549e-31 6.840817e-45
[26] 2.493772e-39 8.531719e-43 8.242007e-44 5.106031e-37 5.870173e-41
[31] 8.599312e-41 2.908462e-39 1.893108e-37 1.927655e-39 1.395697e-40
[36] 1.899429e-36 7.997233e-38 1.194703e-43 1.151572e-37 7.037282e-33
[41] 4.454878e-36 1.875176e-25 7.332628e-37 4.698638e-38 1.489073e-38
[46] 4.040531e-38 3.300549e-32 1.474253e-42 6.823742e-24 1.648220e-35
[51] 2.343722e-41 6.264124e-41 1.023575e-43 6.092375e-35 2.497590e-43
[56] 4.325686e-42 4.478890e-36 1.216342e-35 1.438772e-29 3.128623e-31
[61] 1.136167e-34 3.969644e-43 2.638330e-40 9.262401e-42 1.418520e-40
[66] 1.838713e-42 2.148736e-28 1.400894e-30 5.263982e-42 5.475457e-35
[71] 9.649462e-41 1.442373e-32 3.479724e-40 6.981818e-41 5.766830e-34
[76] 3.460781e-36 1.134004e-30 1.798144e-40 7.615919e-27 1.570611e-38
[81] 6.801897e-34 3.610019e-44 5.811600e-41 1.310271e-33 1.169459e-40
[86] 3.905353e-38 5.691586e-37 4.151078e-37 1.310802e-34 8.758076e-42
[91] 1.648186e-42 2.714798e-37 2.518573e-39 3.038147e-35 2.191984e-41
[96] 1.103199e-40

$hatpai[[60]]
 [1] 5.790652e-43 1.508662e-31 1.951532e-41 1.142943e-29 1.731604e-39
 [6] 1.228979e-44 1.564625e-38 7.167024e-39 3.344461e-44 1.105053e-44
[11] 2.398682e-44 3.854816e-43 7.687441e-40 1.536673e-36 9.790058e-38
[16] 1.347279e-28 4.525803e-35 8.155016e-41 3.878260e-34 1.449867e-19
[21] 1.437237e-36 1.696120e-43

$hatpai[[61]]
 [1] 1.243076e-41 1.918712e-43 2.728319e-44 3.332321e-35 4.869880e-41
 [6] 2.780378e-38 5.747027e-45 3.957145e-38 6.181708e-42 3.667146e-43
[11] 8.990514e-42 9.867109e-38 1.087947e-34 9.415315e-28 1.061765e-39
[16] 4.250900e-42 6.674289e-29 5.118289e-40 3.516896e-39 4.009202e-38
[21] 1.142532e-41 6.620111e-38 2.657753e-28 2.830253e-34 3.995735e-36
[26] 4.438780e-43 2.922466e-27 2.157030e-43 2.634947e-26 1.120696e-38
[31] 7.149083e-38 1.667045e-29 2.431769e-28 2.280034e-32 1.793529e-42

$hatpai[[62]]
 [1] 1.037890e-39 6.940971e-46 5.895590e-41 1.540062e-39 9.372069e-34
 [6] 2.133263e-44 3.579491e-37 1.032921e-43 1.084038e-39 1.103511e-42
[11] 2.277962e-39 8.977395e-44 1.335348e-38 9.643669e-32 1.420312e-45
[16] 3.177583e-40 4.855894e-41 7.617811e-33 2.022286e-41 5.244445e-40
[21] 2.361290e-41 2.038086e-39 1.347024e-43 2.663078e-41 1.524315e-45
[26] 5.341277e-42 9.619750e-27 3.524970e-42 2.107665e-39 5.310909e-43
[31] 5.130573e-32 1.298013e-36 9.989503e-35 1.636753e-42 3.973914e-36
[36] 6.884244e-28 2.164068e-44 6.580719e-26 5.952698e-43 7.267946e-38
[41] 9.243314e-46

$hatpai[[63]]
 [1] 1.354780e-38 2.500503e-34 1.853232e-38 7.935545e-32 2.284658e-44
 [6] 3.923785e-36 1.451454e-41 7.142994e-39 6.934463e-39 4.423014e-37
[11] 3.197315e-38 1.164286e-23 4.965610e-44 8.590989e-28 1.486642e-35
[16] 1.097511e-38 2.207247e-43 9.577627e-36 1.924104e-35 1.626707e-24
[21] 5.609333e-42 7.499615e-44 6.381083e-40 1.436039e-43 1.019191e-40
[26] 3.650387e-30 2.686597e-39 4.719484e-32 2.012075e-33 5.526018e-30
[31] 1.089180e-34 2.042155e-31 2.759694e-39 2.518806e-33 2.384360e-33
[36] 3.096014e-30 1.755240e-37 7.366796e-36 7.570328e-42 2.636257e-42
[41] 8.281325e-43 1.086190e-33 1.879341e-42 1.114622e-32 8.514921e-35
[46] 2.528593e-37 3.983527e-41 1.371493e-42 4.398222e-39 2.527090e-43
[51] 3.956361e-30 5.251835e-31 4.967318e-42 4.528086e-38 2.128290e-44
[56] 1.946931e-38 9.390516e-27 1.073085e-35 9.905125e-35 7.217459e-34
[61] 2.581314e-40 4.273286e-26 1.645667e-41 2.796053e-28 1.045870e-26
[66] 1.947671e-39 6.450358e-30 1.591290e-40 3.204796e-41 1.159149e-43
[71] 6.930177e-38 8.855678e-37 1.215429e-40 2.079319e-32 1.711204e-31
[76] 3.302523e-44 7.792051e-41 4.801812e-39 9.459976e-35 1.529618e-39

$hatpai[[64]]
[1] 1.209593e-23 6.900256e-41 1.090663e-39

$hatpai[[65]]
 [1] 2.366398e-35 1.276487e-26 9.983847e-35 2.073176e-31 2.276012e-37
 [6] 6.717309e-44 1.481704e-39 6.485727e-37 3.510757e-41 5.553282e-39
[11] 5.407881e-43 1.225839e-43 9.959320e-41 1.186369e-42 5.134460e-43
[16] 3.573391e-37 3.809979e-36 6.465274e-42 1.466479e-35 7.348167e-43
[21] 1.742304e-30 2.185167e-43 6.138261e-41 4.139667e-37 1.899707e-37
[26] 2.811392e-44 2.112314e-23 9.845715e-41 8.546147e-39 2.586925e-40
[31] 1.345644e-44 1.328575e-39 4.985632e-44 1.023331e-35 2.511515e-33
[36] 4.977875e-38 1.274755e-40 3.000315e-38 1.056617e-42 1.201815e-41
[41] 2.141732e-39 3.038966e-44 3.596430e-32 4.318930e-40 1.824328e-39
[46] 2.136893e-32 9.883544e-39 5.516154e-31 7.042974e-44 1.465985e-37
[51] 6.468426e-41 1.575009e-42 4.224852e-34 5.701648e-42 1.996231e-38
[56] 2.069924e-39 5.883588e-43 5.763312e-24 4.152225e-35 1.241450e-26
[61] 1.443045e-29 8.209560e-39 5.291337e-34 3.976498e-40 1.796081e-44
[66] 2.196310e-36 4.418827e-28 1.250841e-29 1.542926e-42 1.946609e-36
[71] 7.483406e-25 9.388416e-34 4.502889e-28 8.585834e-42 6.627110e-34
[76] 8.235271e-38 1.624194e-42 1.120542e-44 3.203586e-41 2.907086e-41
[81] 2.507392e-44 9.698702e-45 3.836548e-30 1.528418e-33 1.509334e-35
[86] 1.003887e-40

$hatpai[[66]]
 [1] 1.089705e-40 2.642765e-37 5.653690e-41 9.584475e-42 1.771594e-36
 [6] 2.842206e-40 5.960281e-41 5.484336e-42 8.987239e-37 2.152494e-31
[11] 2.082230e-42 2.261690e-37 1.165086e-31 9.098162e-40 2.261479e-37
[16] 1.820844e-38 1.266054e-31 3.568589e-41 6.446276e-44 1.201204e-41
[21] 7.825681e-36 1.232785e-41 1.072932e-39 4.922345e-32 3.330322e-39
[26] 4.041031e-34 3.262552e-43 2.319137e-41 7.085109e-30 9.919338e-45
[31] 4.401363e-29 6.130346e-44 1.693022e-43 2.938736e-40 1.543947e-35
[36] 6.552384e-44 9.184887e-36 2.745738e-31 4.681917e-39 4.627090e-29
[41] 1.312469e-41 4.604227e-38 2.860272e-21 7.214171e-30 2.098601e-26
[46] 9.656753e-36 4.977303e-36 2.100559e-32 5.580977e-30 4.396576e-33
[51] 3.188654e-24 8.383346e-27 4.725667e-37 7.333107e-38 2.074935e-44
[56] 3.511899e-37 2.674672e-35

$hatpai[[67]]
 [1] 4.635395e-40 5.327128e-43 4.036687e-43 1.021301e-32 1.689353e-39
 [6] 4.564048e-41 1.007142e-32 8.604178e-43 4.558192e-29 2.768234e-38

$hatpai[[68]]
 [1] 9.942825e-45 8.102952e-37 9.361221e-43 6.260309e-45 1.930320e-35
 [6] 1.212382e-30 2.593895e-45 3.459716e-45 4.178919e-35 4.490729e-45
[11] 2.425103e-37 7.467595e-28 1.314452e-39 1.933898e-34 3.044591e-27
[16] 3.360512e-32 9.589982e-38 3.497766e-45 3.052170e-36 1.681204e-41
[21] 5.781234e-37 6.523213e-45 1.021910e-36 4.615468e-30 2.598097e-37
[26] 8.794763e-32 4.442309e-38 9.394606e-43 5.872610e-44 3.409969e-41
[31] 1.916331e-44 3.369968e-43 2.312011e-28 2.807222e-44 1.139038e-44
[36] 1.133129e-41 6.835679e-35 3.252981e-30 3.553486e-41 1.732828e-38
[41] 1.913401e-41 4.194069e-45 3.595514e-39 1.540148e-32 1.150627e-37
[46] 1.980466e-38 1.924545e-45 7.248078e-39 4.975368e-43 2.566714e-36
[51] 2.772249e-40 1.768161e-44 8.095090e-45 7.376568e-45 3.975466e-40

$hatpai[[69]]
 [1] 7.589510e-24 1.896142e-25 7.068950e-28 2.367187e-40 2.194803e-31
 [6] 4.192947e-37 1.982686e-23 3.150464e-31 1.293910e-35 5.179062e-32
[11] 1.014009e-37 1.555984e-43 8.881874e-43 2.263355e-42 7.103313e-42
[16] 1.735242e-34 3.960581e-37 1.004441e-17 1.995332e-29 3.014455e-26
[21] 3.572967e-40 5.768024e-44

$hatpai[[70]]
 [1] 1.424960e-41 8.569343e-34 1.145054e-44 1.195680e-40 7.812755e-36
 [6] 1.060731e-42 4.667802e-44 1.702961e-38 1.122048e-37 1.493987e-41
[11] 7.108864e-33 9.064656e-34 4.518443e-37 1.160909e-42 6.916757e-38
[16] 7.451715e-44 1.032912e-33 1.881123e-40 1.138364e-38 5.267099e-43
[21] 1.735487e-41 1.654826e-40 2.629613e-44 2.428852e-40 6.636204e-35

$hatpai[[71]]
[1] 7.692542e-45 3.454983e-39 1.580832e-30

$hatpai[[72]]
 [1] 5.901370e-41 3.801026e-31 9.899001e-34 3.671461e-42 1.767927e-37
 [6] 1.061664e-42 6.746703e-43 1.559657e-41 3.825299e-45 2.205861e-45
[11] 1.320017e-43 2.008292e-35 7.818248e-45 1.257653e-42 4.317485e-41
[16] 1.178912e-42 7.037035e-43 7.542950e-36 1.035268e-24 6.854868e-41
[21] 3.083025e-34 1.705935e-30 1.836154e-43 5.764269e-32 1.001074e-36
[26] 5.227549e-43 4.947667e-45 2.420696e-38 7.663226e-28 1.649502e-37
[31] 5.036461e-45 2.249835e-42 7.043040e-39 1.031595e-42 5.417972e-35
[36] 1.086074e-37 8.902595e-24 1.364202e-37 5.259874e-41 2.229362e-43
[41] 1.773781e-44 5.482691e-42 9.049758e-40 3.060918e-33 4.644248e-45
[46] 4.692461e-41 2.058967e-41 2.585037e-39 1.095205e-34 3.818042e-31
[51] 8.060644e-34 1.596385e-34 6.706891e-35 1.558878e-45 6.124271e-33
[56] 3.285156e-42 1.174711e-38 2.787398e-33 3.611241e-31 6.382168e-39
[61] 6.485343e-42 2.492717e-26 1.474715e-41 6.396629e-36 2.525113e-40
[66] 4.155675e-45 1.386961e-43 1.810501e-39 1.109921e-44 3.639522e-44
[71] 4.237871e-23 6.255572e-31 3.525106e-30 4.357481e-38 3.757419e-43
[76] 1.193061e-43 4.773446e-32 2.963241e-35 8.291965e-26 2.751116e-43
[81] 4.759650e-32 2.750433e-37 5.938500e-43

$hatpai[[73]]
 [1] 3.407559e-40 3.947027e-43 5.085500e-37 3.647632e-35 5.463872e-39
 [6] 4.285058e-44 1.324030e-42 1.075642e-43 1.346626e-31 5.435279e-36
[11] 3.470620e-44 3.798067e-31 2.151555e-29 6.618168e-44 5.110730e-43
[16] 1.083992e-22 4.687316e-45 7.613441e-44 6.925679e-32 1.358937e-39
[21] 5.482330e-35 1.310994e-38 1.352656e-41 1.175408e-42 7.517127e-38
[26] 9.062828e-44 2.822786e-35 1.772538e-30 5.141755e-43 2.127937e-34
[31] 1.745918e-44 9.271902e-36 8.710338e-40 9.298977e-45 8.156068e-40
[36] 1.166685e-42 5.116405e-39 2.648846e-43 1.945450e-37 2.435483e-31
[41] 9.454713e-37 2.875019e-38 3.524544e-32 9.918196e-39 9.153268e-22
[46] 1.144828e-33 1.264707e-31 1.029567e-34 1.044326e-40 2.766351e-32

$hatpai[[74]]
 [1] 2.558363e-36 1.228481e-42 1.236161e-29 1.272363e-37 6.859235e-42
 [6] 2.399028e-43 2.204312e-34 2.454718e-42 5.386658e-29 3.410629e-40
[11] 3.189354e-39 1.035938e-33 1.958350e-33 1.948078e-34 4.219307e-33
[16] 8.968771e-43 2.823946e-35 2.118982e-37 2.303187e-42 1.802012e-25
[21] 6.782888e-39 4.949135e-38 2.951496e-42 1.841612e-42 1.584216e-31
[26] 6.908560e-32 1.168168e-29 4.527177e-26 2.594702e-41 2.173950e-43
[31] 2.777924e-34 2.808792e-38 4.745062e-38 6.652680e-43 9.824441e-32
[36] 1.106124e-38 2.977658e-34 3.886856e-43 3.862860e-44 1.009319e-35
[41] 3.939573e-36 3.798846e-32 2.549866e-31 4.080696e-32 1.824118e-19
[46] 1.308455e-38 8.213241e-33 3.340473e-34 1.919403e-41 1.813873e-43
[51] 5.206284e-39 6.023205e-42 2.840535e-39 4.171212e-33 6.382573e-43
[56] 1.600008e-39 1.718636e-38 9.420894e-34 8.349976e-29 4.466435e-40
[61] 1.821756e-31 9.786277e-42 1.634526e-41 5.530971e-44 5.506529e-33
[66] 5.236607e-39 1.225217e-43 9.534994e-44 2.225593e-43 6.143649e-34
[71] 3.708123e-40 7.249877e-43 3.539017e-29 1.028668e-43 9.914579e-39
[76] 2.354919e-41 2.766017e-35 3.535374e-38 1.188217e-37 7.513494e-35
[81] 1.815404e-35 1.322670e-35 1.865484e-36 1.137402e-38 1.054639e-42
[86] 4.057538e-40 1.175000e-35 6.677165e-44 3.245758e-41 7.970693e-23

$hatpai[[75]]
 [1] 2.286868e-43 6.270928e-38 4.187567e-41 5.364090e-41 1.499090e-39
 [6] 4.239046e-43 1.117960e-37 1.334396e-25 4.521347e-37 1.788227e-41
[11] 5.869084e-41 6.658532e-42 1.991856e-22 5.954844e-44 4.041426e-43
[16] 1.785992e-42 3.948825e-35 3.647476e-42 1.540651e-43 1.208182e-26
[21] 2.680233e-43 1.038319e-38 4.674552e-42 2.770138e-40 2.586112e-37
[26] 7.348247e-44 1.807080e-38 3.109317e-42 1.515340e-43 8.780151e-41
[31] 4.680413e-45 4.416492e-44 3.743404e-28 8.724159e-29 6.416733e-42
[36] 2.975140e-44 2.848001e-32 9.434510e-22 2.186065e-40 1.426219e-35
[41] 2.680400e-40 4.540096e-38 7.796396e-36 2.551177e-35 3.639910e-21
[46] 6.477469e-38 2.647060e-41 1.475218e-43 1.647203e-42 2.517134e-43
[51] 1.031138e-36 3.510161e-43 8.136574e-41 3.968712e-41 1.065369e-44
[56] 6.295030e-30 1.364162e-39 2.571396e-39 2.569080e-29 1.645824e-29
[61] 1.992519e-42 4.234023e-44 1.594192e-33 1.428267e-43 1.353477e-33
[66] 8.916495e-39 4.512802e-40 4.554747e-37 1.534322e-24 5.986263e-28
[71] 4.435763e-42 6.589899e-38 4.757648e-38 3.058281e-42 7.879282e-26
[76] 1.119114e-29 2.849049e-38 3.259883e-36 5.582300e-43 6.530229e-40
[81] 6.203612e-36 3.445414e-36 1.396692e-39 3.752243e-41 1.030082e-37
[86] 6.224476e-43 7.384965e-41

$hatpai[[76]]
 [1] 3.921937e-35 6.887033e-40 2.460268e-39 2.076984e-24 1.354162e-27
 [6] 5.039008e-40 1.395894e-42 5.707544e-36 1.861788e-42 3.318354e-38
[11] 6.921820e-35 4.751841e-23 5.890718e-36 4.893465e-40 4.278627e-35
[16] 5.008885e-43 2.354814e-34 9.340077e-38 1.742238e-34 4.072337e-21
[21] 1.477834e-33 1.316796e-37 3.438274e-40 1.185687e-41 9.154174e-29
[26] 4.501060e-42 8.274911e-35 2.766321e-32 5.263655e-34 6.754987e-33
[31] 7.181171e-43 1.628174e-39 3.400991e-39 1.394986e-43 1.455324e-42
[36] 3.923331e-27 1.355410e-17 1.187872e-38 7.871838e-34 1.714702e-40
[41] 3.834715e-44 1.862974e-41 1.099840e-35 4.267918e-40 3.769968e-39
[46] 2.126433e-41 1.610147e-40 2.128531e-27 1.637635e-43 7.280179e-38
[51] 6.157985e-40 2.258629e-38 4.957735e-42 6.363743e-28 4.956118e-41
[56] 3.048578e-43 4.818658e-32 3.249454e-35 6.580114e-40 3.876829e-30
[61] 1.567345e-33 7.228443e-40 1.722660e-29 2.644018e-31 1.393799e-41
[66] 1.333713e-34 1.466442e-38 2.177837e-27 1.354450e-26 3.064320e-33

$hatpai[[77]]
 [1] 5.147387e-38 6.615209e-37 3.816795e-42 9.208364e-32 1.294928e-43
 [6] 4.373840e-31 1.093493e-37 5.970868e-44 2.429614e-37 5.658699e-44
[11] 8.083160e-35 9.805491e-40 1.587021e-40 2.021989e-41 9.017194e-42
[16] 9.206054e-42 7.292914e-38 1.750322e-41 7.173757e-29 1.146950e-31

$hatpai[[78]]
 [1] 1.327866e-35 9.418010e-40 4.374888e-44 1.450345e-45 3.056427e-45
 [6] 1.020350e-28 7.079561e-34 1.692718e-34 6.352959e-43 5.615276e-45
[11] 4.550000e-40 5.558049e-38 1.195788e-42 7.604855e-45 3.711348e-37
[16] 3.771552e-38 1.765146e-43 3.986623e-43 5.746726e-36 1.564219e-40
[21] 2.667715e-41 1.507060e-41 1.079425e-38 1.439234e-39 3.377478e-39
[26] 6.517345e-30 6.533573e-31 4.905423e-43 1.695496e-40 3.412423e-36
[31] 3.008787e-45 1.594049e-40 2.284304e-37 1.950436e-40 3.086344e-41
[36] 2.007707e-44 4.469408e-43 1.047045e-39 2.806821e-34 9.202620e-45
[41] 3.755190e-40

$hatpai[[79]]
 [1] 2.318390e-32 4.661315e-34 1.414881e-34 1.135159e-42 6.435230e-39
 [6] 3.288304e-35 7.518076e-45 3.029823e-38 4.098457e-41 5.870575e-26
[11] 4.036691e-42 1.009403e-24 2.354927e-42 2.918645e-37 3.275132e-37
[16] 8.874440e-42 2.241955e-41 5.774035e-40 2.533389e-42 1.270128e-40
[21] 4.156011e-35 4.884267e-39 5.065593e-41 2.573246e-36 8.967809e-43
[26] 2.522584e-37 1.119563e-44 3.599650e-43 1.756333e-39 1.789233e-35
[31] 2.749125e-39 2.074536e-41 5.531339e-43 3.559954e-40 7.177438e-39
[36] 2.854392e-38 1.257004e-33 2.290248e-37 1.014385e-39 2.941377e-39
[41] 1.505578e-34 8.175800e-44 6.093887e-43 1.296633e-41 3.531651e-44
[46] 6.190703e-40 2.415708e-27 9.791528e-36 7.398369e-44 1.318449e-30
[51] 1.795789e-38 1.765172e-36 5.276421e-41 2.318321e-37 1.118870e-31
[56] 1.693534e-35 5.381086e-30 9.512249e-45 5.233139e-36 2.720573e-29
[61] 5.403889e-42 7.709895e-33 1.832624e-17

$hatpai[[80]]
 [1] 1.027563e-43 1.543207e-37 2.766429e-37 3.537608e-35 1.048922e-43
 [6] 2.655349e-34 1.259604e-40 6.011291e-37 4.841911e-43 1.027244e-22
[11] 4.066554e-36 4.281840e-39 2.890315e-30 2.236094e-41 9.788092e-40
[16] 1.246235e-36 1.553938e-42 2.671863e-33 2.014023e-38 3.494331e-39
[21] 1.646656e-42 8.627709e-35 3.416038e-35 1.150390e-35 2.197286e-35
[26] 8.913837e-37 1.725589e-42 5.863627e-27 8.021889e-38 2.590036e-35
[31] 4.391546e-43 1.903186e-31 9.281227e-38 2.173095e-42 8.747365e-42
[36] 2.323996e-35 5.970291e-38 1.054789e-25 6.259100e-25 9.278052e-29
[41] 6.250806e-34 4.089276e-35 5.991048e-34 8.933898e-39 2.718531e-38
[46] 4.475727e-38 2.874811e-35 5.411663e-31 1.883672e-35 3.445159e-38
[51] 4.621438e-39 6.209053e-40 5.114081e-40 6.495912e-44 9.214452e-40
[56] 1.981988e-31 8.377199e-35 1.541339e-42 1.153755e-37 3.698739e-44
[61] 3.953385e-22 1.043961e-42 4.468489e-31 7.568038e-37 4.097073e-35
[66] 6.640164e-32 1.404746e-40 2.868415e-30 1.688757e-31 9.461455e-44
[71] 1.129863e-43

$hatpai[[81]]
 [1] 2.731002e-35 1.422205e-44 9.777054e-41 2.847140e-34 1.089470e-42
 [6] 5.260411e-42 1.974430e-32 1.303822e-38 2.334049e-38 7.482374e-40
[11] 1.437602e-43 7.895883e-43 1.160819e-43 1.527679e-30 1.136306e-44
[16] 9.274973e-41 8.892540e-42 2.012913e-44 1.737956e-38 1.239101e-44
[21] 1.684940e-28 1.596068e-38 3.105023e-39 6.918356e-35 2.436684e-39
[26] 5.474293e-40 3.029444e-38 7.717033e-44 1.216848e-37 1.126025e-32
[31] 4.627430e-32 1.282748e-41 1.388365e-42 7.943307e-26 5.463709e-38
[36] 1.020473e-38 4.322661e-40 5.074730e-37 2.876099e-34 1.509705e-39
[41] 3.577974e-39 6.651581e-30 3.563596e-43 1.047182e-28 4.255085e-42
[46] 3.467018e-36 1.833966e-40 6.168947e-44 1.369177e-40 1.580675e-42
[51] 1.800920e-35 2.162857e-42 8.654911e-41 3.909277e-26 9.981687e-38
[56] 3.079605e-44 5.454707e-36 3.826432e-38 1.281163e-37 4.131464e-42
[61] 6.359555e-25

$hatpai[[82]]
 [1] 7.015352e-38 7.229377e-40 7.529182e-40 4.972991e-30 6.144960e-29
 [6] 1.585638e-39 2.675652e-45 6.656529e-45 5.343931e-28 3.165206e-39
[11] 1.674081e-39 9.844760e-40 1.056872e-42 2.069067e-43 2.940419e-41
[16] 4.909765e-40 6.626575e-44 3.227610e-39 3.004984e-39 3.341283e-39
[21] 9.380765e-45 2.432546e-45 2.602367e-42 1.850776e-39 1.315070e-45
[26] 2.888914e-30 6.061678e-30 7.102030e-35 1.286935e-30 3.028500e-38
[31] 5.988494e-31 1.190605e-46 3.717010e-42 3.126633e-43 1.543565e-40
[36] 3.558580e-42 2.775365e-30 1.302504e-46 2.666487e-44 3.023065e-46
[41] 1.065517e-33 1.898127e-45 2.107186e-41 4.072855e-41 1.569201e-41
[46] 1.684718e-43 1.988012e-38 1.746688e-38 2.135156e-36 5.361656e-47
[51] 9.792023e-32 3.632569e-27 2.346538e-36 1.679029e-45 1.095589e-43
[56] 8.133647e-37 5.163777e-36 5.887874e-31 4.499598e-45 9.838456e-46
[61] 5.596104e-43 2.596202e-39 1.853408e-35 2.533009e-34 5.622881e-37
[66] 2.999925e-35 4.206660e-45 2.283285e-43 2.940109e-41 6.349363e-45
[71] 6.718943e-45 1.863666e-38 3.475884e-39 1.806037e-31 1.960304e-36
[76] 8.301381e-45 1.449001e-29 8.333533e-33 2.602264e-39 3.369977e-44
[81] 7.197740e-34 6.027988e-38 7.023901e-42 5.654215e-47 3.217617e-46
[86] 3.564022e-44 2.022744e-44 2.247642e-45 2.160988e-37 2.667034e-45
[91] 5.605583e-43 8.749988e-41 2.903467e-40 3.893531e-39 1.282534e-38
[96] 3.510034e-26

$hatpai[[83]]
 [1] 1.755283e-43 4.103261e-39 8.548185e-35 1.489389e-45 1.902345e-41
 [6] 4.572068e-31 6.792026e-33 1.084801e-26 6.921444e-45 7.313689e-42
[11] 1.579283e-38 1.082342e-26 3.154583e-41 8.784332e-46 2.143954e-43
[16] 1.102294e-33 1.863054e-39 1.862949e-40 1.949111e-45 1.475398e-34
[21] 1.151048e-41 1.204626e-45 9.352675e-40 1.694696e-36 7.230208e-38
[26] 1.711479e-40 4.523314e-44 2.115680e-44 9.414511e-44 6.296478e-24
[31] 7.033559e-43 9.822066e-42 1.195565e-44 5.402056e-40 1.371245e-43
[36] 3.411323e-29 7.768398e-43 2.435803e-26 1.428948e-42 1.805167e-24
[41] 2.690715e-41 1.672466e-41 1.291704e-44 6.412495e-41 1.686847e-32
[46] 4.845687e-36 1.450878e-45 4.755738e-42 8.165151e-35 1.279728e-44
[51] 1.824446e-24

$hatpai[[84]]
 [1] 3.697171e-37 1.632663e-40 9.087534e-35 2.092301e-34 1.721107e-32
 [6] 2.780310e-37 8.679304e-33 1.068225e-43 9.041229e-40 3.236922e-36
[11] 2.121922e-43 1.554664e-37 5.141682e-37 5.275205e-39 7.334510e-40
[16] 9.437857e-44 1.179920e-39 9.391032e-35 5.385121e-34 9.049330e-44
[21] 3.960495e-45 5.116584e-39 2.579736e-42 8.962826e-37 2.961563e-42
[26] 4.181492e-43 1.016148e-34 3.573568e-34 2.123575e-44 5.549072e-40
[31] 6.446121e-29 5.258683e-34 2.483552e-37 1.385631e-36 3.368265e-37
[36] 4.237438e-37 1.668413e-40 9.400355e-45 3.012582e-40 8.217803e-39
[41] 3.803419e-39 3.589001e-45 1.506854e-44 1.508413e-42 1.469625e-38
[46] 2.615310e-31 5.050444e-38 1.733591e-41 7.259539e-34 1.852742e-45
[51] 7.432864e-44 1.800607e-36 1.032194e-40 5.518460e-45 8.333841e-23
[56] 9.805951e-41 2.612096e-34 9.601669e-45 2.135896e-39 1.060102e-41
[61] 1.018321e-29 2.934435e-37 2.790168e-44 1.719016e-35 2.098806e-41
[66] 5.071812e-43 4.737661e-37 1.906891e-34 3.484600e-35 7.206050e-42

$hatpai[[85]]
 [1] 4.618501e-27 1.488062e-44 2.176313e-39 2.854891e-32 2.655169e-41
 [6] 6.485530e-39 8.519767e-40 1.622166e-44 2.065778e-24 6.876826e-44
[11] 3.687470e-41 5.655248e-38 1.811602e-44 3.492143e-43 6.541547e-36
[16] 3.680950e-37 2.286938e-34 3.920891e-40 3.209490e-38 2.254634e-43
[21] 1.581996e-42 1.565256e-41 2.221395e-42 7.378467e-41 7.189118e-40
[26] 1.261265e-31 1.663810e-42

$hatpai[[86]]
 [1] 2.081452e-34 2.212878e-43 1.808327e-44 4.350057e-34 6.694280e-33
 [6] 3.755172e-40 1.553160e-36 1.195051e-37 3.854345e-39 5.930620e-33
[11] 9.593632e-32 3.126484e-34 3.508117e-34 9.640572e-35 2.117876e-44
[16] 3.696579e-28 6.732461e-38 5.647022e-35 6.011068e-37 1.357183e-38
[21] 1.874755e-30 7.999183e-38 3.499766e-38 6.700261e-29 4.006951e-41
[26] 1.716100e-35 1.339108e-43 1.572723e-42 1.238206e-21 2.154429e-31
[31] 1.751649e-41 3.840682e-32 9.623438e-31 3.315806e-44 2.152786e-41
[36] 4.958080e-38 3.987080e-26 2.815074e-28 1.679683e-19 1.646272e-43
[41] 8.520681e-24 3.696850e-37 3.683151e-43 6.835253e-33 2.949180e-41
[46] 3.950429e-35 2.966201e-40 4.564331e-41 3.245159e-33 1.565654e-43
[51] 1.095119e-24 2.575426e-41 7.553545e-39 1.217323e-29 3.312576e-41
[56] 1.540297e-30 5.931604e-40 4.429927e-34 4.873889e-38 7.448665e-29
[61] 3.595267e-42 1.370397e-39 4.815880e-41 1.912945e-32 2.832129e-37
[66] 1.629660e-38 3.275963e-39 1.826513e-43 2.125142e-40 2.579127e-38
[71] 4.329323e-44 2.191434e-39 1.177665e-42 2.471356e-41 2.740135e-24
[76] 1.338838e-40

$hatpai[[87]]
 [1] 7.666557e-43 2.352290e-44 1.531848e-44 1.154426e-41 2.068104e-25
 [6] 4.313811e-44 2.778638e-43 2.184010e-45 1.404209e-32 2.545179e-43
[11] 1.385184e-33 1.755585e-43 1.374563e-34 6.243419e-43 2.545176e-40
[16] 3.744907e-30 7.135174e-41 1.441120e-45 5.086672e-44 4.108743e-33
[21] 1.585437e-34 5.001710e-40 3.758315e-44 1.826787e-30 2.963355e-33
[26] 2.705395e-36 1.119102e-43 2.085617e-38 6.274435e-37 1.366990e-42
[31] 5.772738e-33 2.200898e-35 8.248313e-45 5.309024e-43 1.191817e-31
[36] 6.885171e-41 1.465471e-44 8.886065e-43 8.756798e-44 1.328639e-31
[41] 2.373415e-39 1.099697e-39 8.849025e-38 3.301795e-43 7.308511e-39
[46] 1.586001e-38 4.091656e-43 1.370919e-39 4.170829e-28 3.882186e-44
[51] 1.761677e-35 1.789166e-44 3.419077e-39 1.370582e-40 1.140516e-45
[56] 6.357779e-34 2.840986e-39 1.585320e-28 2.369744e-44 1.072477e-42
[61] 1.625722e-36 1.423317e-41 1.517987e-45 6.941222e-41 1.684824e-38
[66] 3.502550e-44 8.588558e-31 3.172365e-30 6.118910e-37 5.213992e-45
[71] 1.558552e-32 3.399576e-44

$hatpai[[88]]
 [1] 4.755931e-32 1.721290e-36 1.705067e-30 6.377874e-28 4.322175e-37
 [6] 6.246399e-33 2.725649e-43 3.289249e-28 5.330395e-42 1.170133e-40
[11] 6.248517e-35 1.118859e-35 1.443546e-27 1.509888e-44 1.421862e-39
[16] 3.091698e-39 6.655431e-33 1.982452e-32 1.171520e-39 3.497020e-38
[21] 8.613817e-38 2.912298e-30 7.532934e-40 8.311893e-43 1.258949e-35
[26] 7.822219e-40 2.804708e-42 3.239490e-36 2.337151e-30 8.478331e-39
[31] 8.566637e-31 8.308795e-37 1.465972e-41 5.137363e-43 2.668855e-39
[36] 9.789291e-35 2.840142e-41 1.751757e-43 4.784017e-42 2.116259e-37
[41] 2.305358e-23 2.042433e-35 4.324426e-36 1.013586e-43 2.463202e-34
[46] 5.276183e-40 8.123822e-42 2.893725e-39

$hatpai[[89]]
 [1] 8.423876e-39 1.650998e-36 2.231129e-40 1.806629e-42 5.435104e-36
 [6] 2.287742e-31 2.593183e-40 2.194371e-31 5.159643e-21 2.810335e-36
[11] 3.249405e-35 1.883508e-32 3.545813e-34 2.649934e-33 2.977310e-32
[16] 1.828168e-35 5.237516e-43 7.066889e-39 9.689049e-40 6.236332e-38
[21] 2.507370e-40 6.164537e-32 6.338004e-40 9.207115e-33 2.818560e-36
[26] 8.872852e-38 1.087131e-23 2.391840e-33 7.961792e-42 2.067458e-40
[31] 1.174381e-43 3.528514e-28 7.630702e-39 1.720862e-33 6.650079e-34
[36] 2.006382e-42 3.507117e-33 1.117211e-37 5.603834e-30 3.699231e-38
[41] 2.899104e-33 4.527472e-40 3.676585e-42 8.129736e-35 3.020898e-39
[46] 7.885365e-38 1.528923e-40 3.552956e-40 2.662844e-33 3.983864e-36
[51] 1.125241e-42 2.495625e-38 1.523535e-41 1.571148e-36 9.832220e-39
[56] 2.211772e-38 1.837602e-35 8.949017e-40 3.205099e-43 1.061037e-36

$hatpai[[90]]
 [1] 5.926684e-37 2.968832e-30 4.058573e-26 1.048567e-39 2.339133e-31
 [6] 4.066888e-41 4.774329e-29 5.246828e-39 1.829569e-41 5.371196e-37
[11] 6.176108e-29 7.072236e-30 3.699950e-27 5.015152e-39 9.074667e-42
[16] 6.333106e-32 8.512560e-37 5.240113e-27 3.507447e-33 1.567757e-39
[21] 1.168734e-36 1.381962e-28 5.805382e-26 5.532818e-43 3.859863e-36
[26] 3.033915e-28 1.768291e-29 5.158974e-36 7.838914e-41 1.966259e-39
[31] 5.440013e-36 1.377473e-39 3.541242e-31 2.509547e-39 9.523871e-40
[36] 3.887192e-36 1.565189e-37 8.786394e-39 1.674570e-36 1.100022e-40
[41] 2.984975e-42 2.957865e-41 2.672112e-37 3.430878e-40 1.814960e-34
[46] 5.684295e-39 7.649476e-26 6.878184e-33 4.765322e-40 1.021386e-39
[51] 2.039795e-41 1.547375e-34 7.156069e-40 9.337460e-41 8.159952e-42
[56] 9.702767e-43 5.885357e-43 4.517156e-32 9.046408e-40 3.528627e-34
[61] 3.041633e-29 3.659082e-41 8.387650e-30 8.734815e-31 2.248355e-33

$hatpai[[91]]
 [1] 2.693674e-46 4.449195e-43 3.906057e-36 1.144806e-38 8.981629e-36
 [6] 1.250261e-33 5.402182e-34 1.087960e-43 5.501485e-38 6.359753e-38
[11] 4.278700e-40 4.232843e-46 9.460151e-40 6.643803e-31 5.530896e-41
[16] 1.304689e-32 5.003246e-40 3.965335e-44 1.470185e-46 5.371940e-42
[21] 5.599762e-35 3.927631e-44 3.346085e-27 3.858219e-39 3.884818e-39
[26] 4.916993e-45 4.153247e-42 2.018680e-37 9.943119e-46 1.638795e-37
[31] 8.015256e-44 1.410746e-40 3.311815e-43 5.927056e-42 1.185045e-42
[36] 1.302123e-45

$hatpai[[92]]
 [1] 3.193338e-33 2.310543e-45 3.316224e-42 1.277614e-36 1.067319e-41
 [6] 3.930187e-43 4.570802e-32 2.986553e-35 1.859106e-26 3.622041e-40
[11] 2.623621e-34 5.909873e-45 8.128436e-45 2.964115e-29 1.206531e-39
[16] 8.598722e-34 1.055620e-35 1.013975e-43 2.807119e-41 7.444379e-39
[21] 3.237451e-36 2.206157e-38 3.185793e-45 1.619402e-28 4.707451e-44
[26] 2.380781e-43 8.190329e-37 1.412774e-40

$hatpai[[93]]
 [1] 6.488157e-29 6.050495e-37 1.312170e-40 6.530998e-40 2.207099e-37
 [6] 1.221463e-24 5.349385e-43 1.201435e-32 5.845115e-42 9.064567e-44
[11] 1.553339e-40 3.486388e-43 5.444436e-39 6.566374e-35 1.868519e-34
[16] 1.189563e-43 2.128767e-33 5.751835e-27 5.585675e-40

$hatpai[[94]]
[1] 2.017927e-41 3.739534e-34 4.546613e-34 3.815310e-24 2.454591e-32
[6] 6.435903e-33 1.707513e-30 1.212811e-38 5.184540e-37

$hatpai[[95]]
 [1] 2.277213e-41 5.713913e-36 3.070838e-32 5.558703e-45 1.100263e-40
 [6] 1.055769e-43 1.237056e-33 2.738914e-37 2.264351e-39 1.067319e-43
[11] 2.238619e-41 2.501156e-30 2.681384e-37 2.148967e-38 6.488087e-44
[16] 5.989920e-42 2.464685e-30 2.519788e-43 2.333737e-41 5.154243e-40
[21] 1.601781e-43 5.811132e-22 7.744882e-36 5.756722e-34 2.810404e-42
[26] 6.219084e-33 1.613393e-30 6.607189e-42 1.760483e-35 6.794912e-22

$hatpai[[96]]
 [1] 5.664408e-33 2.400619e-34 2.290245e-43 5.473453e-34 6.770685e-42
 [6] 1.213324e-38 1.200215e-43 4.977656e-37 2.444138e-29 9.063228e-41
[11] 7.468337e-41 1.654249e-43 1.717069e-38 1.700533e-34 8.355582e-27
[16] 6.766793e-31 2.614359e-40 5.084711e-39 2.777264e-36 3.069861e-41
[21] 1.535545e-28 2.692392e-40 6.395169e-35 2.138972e-43 1.642901e-37
[26] 2.743720e-35 3.015926e-43 5.308474e-30 2.889279e-44 6.085944e-35
[31] 6.111151e-28 3.034337e-36 4.365900e-26 5.319509e-40 4.775826e-40
[36] 1.198169e-39 5.340882e-38 3.217000e-37 3.917811e-44 4.579925e-43
[41] 5.538384e-38 2.578128e-38 1.848482e-40 2.600420e-43 2.243923e-42
[46] 4.623667e-34 1.621702e-43 3.956283e-44 1.428269e-27 1.119002e-34
[51] 4.691789e-41 2.081377e-30 6.481714e-44 3.304043e-41 1.169547e-36
[56] 1.510056e-40 1.263812e-39 1.026948e-35 8.834273e-42 5.515445e-44
[61] 1.941908e-33 7.562021e-42 9.311846e-34

$hatpai[[97]]
 [1] 7.223465e-43 1.990278e-38 7.842910e-36 3.518819e-38 1.245000e-41
 [6] 1.396945e-30 2.839958e-43 1.174916e-37 1.459053e-41 1.014869e-38
[11] 7.858207e-41 1.682315e-39 1.341051e-38 2.716914e-40 1.609058e-31
[16] 1.783403e-35 6.390847e-36

$hatpai[[98]]
 [1] 4.496461e-38 1.009451e-42 5.261982e-37 2.114859e-35 1.897925e-41
 [6] 1.011705e-43 2.694282e-31 8.546120e-39 3.756217e-40 3.040120e-44
[11] 3.077392e-42 4.460271e-34 2.837224e-39 1.018811e-30 8.259733e-40
[16] 6.011397e-32 1.167774e-42 9.941801e-35 1.046350e-35 1.958504e-45
[21] 7.064158e-43 4.921627e-36 4.705644e-35 1.829729e-24 1.834124e-39
[26] 7.138400e-42 5.637995e-39 1.122831e-37 9.916064e-40 1.917312e-37
[31] 1.175970e-42 7.548597e-34 8.218872e-45 3.259681e-26 4.570563e-34
[36] 3.196278e-37 9.660932e-36 3.944438e-33 1.631823e-37 1.806504e-40
[41] 1.675690e-42 6.598930e-40 8.285332e-38 1.864058e-37 2.092540e-42
[46] 6.691005e-35 8.531809e-39 2.579759e-31 6.219830e-34 4.897686e-31
[51] 1.080042e-39 6.571548e-43 1.216825e-32 1.595757e-31 1.202487e-43
[56] 2.014051e-41 5.663884e-45 9.285853e-42 5.929355e-44 3.261119e-43
[61] 1.872069e-45 4.645157e-42 1.869671e-44 2.197697e-43 2.413062e-31
[66] 5.653525e-34 4.427206e-40 1.034585e-37 4.654279e-40 1.436275e-33
[71] 4.535873e-37 6.870603e-41 9.780791e-45 3.838742e-45 4.028828e-39
[76] 2.062129e-30 9.716356e-38 1.420472e-44 1.013444e-44 1.772684e-28
[81] 9.586259e-41 1.940454e-39 4.897028e-31 6.544047e-40 1.027123e-33
[86] 4.762838e-45

$hatpai[[99]]
 [1] 1.055171e-38 6.227917e-35 9.478018e-39 3.642606e-45 1.985899e-42
 [6] 1.734654e-41 1.788228e-38 3.363753e-45 4.996594e-35 1.296577e-43
[11] 7.193974e-44 7.451243e-42 2.397329e-44 9.936790e-45 2.485020e-43
[16] 2.080945e-34 3.056877e-45 4.000333e-34 4.581326e-31 1.503279e-40
[21] 6.526717e-38 5.462143e-22 5.834317e-42 3.545257e-39 2.864551e-31
[26] 6.142663e-38 5.451071e-46 1.502302e-30 8.342566e-41 1.833421e-31
[31] 2.702771e-30 1.503342e-32 1.210453e-35 7.423705e-35 5.132840e-35
[36] 4.917171e-45 9.969594e-43 9.573552e-46 1.047568e-43 1.265073e-38
[41] 3.684821e-43 1.059526e-37 1.037352e-43 2.977951e-41 2.138874e-38
[46] 5.405934e-34 1.825026e-41 3.163678e-39 1.247152e-29 1.376651e-41
[51] 1.216571e-41 4.082473e-38 1.511695e-43 6.171910e-37 4.594194e-39
[56] 1.747098e-44 8.773223e-46 5.105212e-39

$hatpai[[100]]
[1] 1.404857e-25 5.997974e-40 7.255415e-44 8.956534e-45 3.296838e-32
[6] 3.885372e-46

BHTSpack documentation built on Feb. 8, 2021, 5:07 p.m.