# Figure 1
# Width distributions from markov chain Monte Carlo sampling
# PDF = probability distribution function
# Note that sigma axes' are shifted in Figure
# A = 4.00
# mean_width = 6.42128e-01
# Columns: width PDF
1.41177e-01 5.25085e-04
1.47461e-01 1.04525e-03
1.53744e-01 1.99409e-03
1.60028e-01 3.66081e-03
1.66312e-01 6.44643e-03
1.72596e-01 1.08572e-02
1.78880e-01 1.74955e-02
1.85164e-01 2.70519e-02
1.91448e-01 4.02985e-02
1.97732e-01 5.80863e-02
2.04016e-01 8.13195e-02
2.10300e-01 1.10866e-01
2.16583e-01 1.47416e-01
2.22867e-01 1.91366e-01
2.29151e-01 2.42750e-01
2.35435e-01 3.01222e-01
2.41719e-01 3.66121e-01
2.48003e-01 4.36677e-01
2.54287e-01 5.12173e-01
2.60571e-01 5.91892e-01
2.66855e-01 6.74957e-01
2.73139e-01 7.60243e-01
2.79423e-01 8.46383e-01
2.85706e-01 9.31788e-01
2.91990e-01 1.01484e+00
2.98274e-01 1.09426e+00
3.04558e-01 1.16935e+00
3.10842e-01 1.23987e+00
3.17126e-01 1.30569e+00
3.23410e-01 1.36663e+00
3.29694e-01 1.42227e+00
3.35978e-01 1.47197e+00
3.42262e-01 1.51501e+00
3.48545e-01 1.55102e+00
3.54829e-01 1.58043e+00
3.61113e-01 1.60440e+00
3.67397e-01 1.62410e+00
3.73681e-01 1.63979e+00
3.79965e-01 1.65082e+00
3.86249e-01 1.65645e+00
3.92533e-01 1.65684e+00
3.98817e-01 1.65319e+00
4.05101e-01 1.64707e+00
4.11385e-01 1.63956e+00
4.17668e-01 1.63101e+00
4.23952e-01 1.62143e+00
4.30236e-01 1.61106e+00
4.36520e-01 1.60038e+00
4.42804e-01 1.58963e+00
4.49088e-01 1.57858e+00
4.55372e-01 1.56677e+00
4.61656e-01 1.55405e+00
4.67940e-01 1.54079e+00
4.74224e-01 1.52756e+00
4.80507e-01 1.51484e+00
4.86791e-01 1.50304e+00
4.93075e-01 1.49255e+00
4.99359e-01 1.48349e+00
5.05643e-01 1.47549e+00
5.11927e-01 1.46784e+00
5.18211e-01 1.45989e+00
5.24495e-01 1.45128e+00
5.30779e-01 1.44192e+00
5.37063e-01 1.43197e+00
5.43346e-01 1.42158e+00
5.49630e-01 1.41079e+00
5.55914e-01 1.39970e+00
5.62198e-01 1.38859e+00
5.68482e-01 1.37781e+00
5.74766e-01 1.36736e+00
5.81050e-01 1.35692e+00
5.87334e-01 1.34618e+00
5.93618e-01 1.33522e+00
5.99902e-01 1.32437e+00
6.06186e-01 1.31386e+00
6.12469e-01 1.30358e+00
6.18753e-01 1.29323e+00
6.25037e-01 1.28253e+00
6.31321e-01 1.27127e+00
6.37605e-01 1.25941e+00
6.43889e-01 1.24709e+00
6.50173e-01 1.23461e+00
6.56457e-01 1.22225e+00
6.62741e-01 1.21020e+00
6.69025e-01 1.19869e+00
6.75308e-01 1.18795e+00
6.81592e-01 1.17780e+00
6.87876e-01 1.16756e+00
6.94160e-01 1.15664e+00
7.00444e-01 1.14515e+00
7.06728e-01 1.13384e+00
7.13012e-01 1.12329e+00
7.19296e-01 1.11338e+00
7.25580e-01 1.10346e+00
7.31864e-01 1.09296e+00
7.38148e-01 1.08184e+00
7.44431e-01 1.07056e+00
7.50715e-01 1.05970e+00
7.56999e-01 1.04951e+00
7.63283e-01 1.03976e+00
7.69567e-01 1.03005e+00
7.75851e-01 1.02016e+00
7.82135e-01 1.01011e+00
7.88419e-01 1.00000e+00
7.94703e-01 9.89871e-01
8.00987e-01 9.79757e-01
8.07270e-01 9.69724e-01
8.13554e-01 9.59848e-01
8.19838e-01 9.50188e-01
8.26122e-01 9.40796e-01
8.32406e-01 9.31713e-01
8.38690e-01 9.22885e-01
8.44974e-01 9.14092e-01
8.51258e-01 9.05062e-01
8.57542e-01 8.95740e-01
8.63826e-01 8.86409e-01
8.70109e-01 8.77436e-01
8.76393e-01 8.68815e-01
8.82677e-01 8.60011e-01
8.88961e-01 8.50308e-01
8.95245e-01 8.39294e-01
9.01529e-01 8.27079e-01
9.07813e-01 8.14158e-01
9.14097e-01 8.01135e-01
9.20381e-01 7.88450e-01
9.26665e-01 7.76236e-01
9.32949e-01 7.64331e-01
9.39232e-01 7.52402e-01
9.45516e-01 7.40091e-01
9.51800e-01 7.27146e-01
9.58084e-01 7.13531e-01
9.64368e-01 6.99437e-01
9.70652e-01 6.85191e-01
9.76936e-01 6.71119e-01
9.83220e-01 6.57404e-01
9.89504e-01 6.43947e-01
9.95788e-01 6.30426e-01
1.00207e+00 6.16606e-01
1.00836e+00 6.02558e-01
1.01464e+00 5.88533e-01
1.02092e+00 5.74694e-01
1.02721e+00 5.61037e-01
1.03349e+00 5.47462e-01
1.03977e+00 5.33795e-01
1.04606e+00 5.19772e-01
1.05234e+00 5.05166e-01
1.05863e+00 4.90010e-01
1.06491e+00 4.74645e-01
1.07119e+00 4.59515e-01
1.07748e+00 4.44892e-01
1.08376e+00 4.30802e-01
1.09005e+00 4.17112e-01
1.09633e+00 4.03662e-01
1.10261e+00 3.90321e-01
1.10890e+00 3.77032e-01
1.11518e+00 3.63869e-01
1.12147e+00 3.51055e-01
1.12775e+00 3.38809e-01
1.13403e+00 3.27147e-01
1.14032e+00 3.15868e-01
1.14660e+00 3.04741e-01
1.15289e+00 2.93684e-01
1.15917e+00 2.82764e-01
1.16545e+00 2.72095e-01
1.17174e+00 2.61761e-01
1.17802e+00 2.51773e-01
1.18430e+00 2.42055e-01
1.19059e+00 2.32456e-01
1.19687e+00 2.22842e-01
1.20316e+00 2.13206e-01
1.20944e+00 2.03739e-01
1.21572e+00 1.94723e-01
1.22201e+00 1.86321e-01
1.22829e+00 1.78449e-01
1.23458e+00 1.70884e-01
1.24086e+00 1.63478e-01
1.24714e+00 1.56243e-01
1.25343e+00 1.49230e-01
1.25971e+00 1.42389e-01
1.26600e+00 1.35575e-01
1.27228e+00 1.28684e-01
1.27856e+00 1.21770e-01
1.28485e+00 1.15042e-01
1.29113e+00 1.08752e-01
1.29741e+00 1.03064e-01
1.30370e+00 9.79453e-02
1.30998e+00 9.31828e-02
1.31627e+00 8.85231e-02
1.32255e+00 8.38555e-02
1.32883e+00 7.92550e-02
1.33512e+00 7.48627e-02
1.34140e+00 7.07641e-02
1.34769e+00 6.69780e-02
1.35397e+00 6.34962e-02
1.36025e+00 6.02954e-02
1.36654e+00 5.73256e-02
1.37282e+00 5.45130e-02
1.37911e+00 5.17718e-02
1.38539e+00 4.90122e-02
1.39167e+00 4.61547e-02
1.39796e+00 4.31767e-02
1.40424e+00 4.01620e-02
1.41053e+00 3.72822e-02
1.41681e+00 3.46997e-02
1.42309e+00 3.24727e-02
1.42938e+00 3.05389e-02
1.43566e+00 2.87761e-02
1.44194e+00 2.70838e-02
1.44823e+00 2.54248e-02
1.45451e+00 2.38153e-02
1.46080e+00 2.23013e-02
1.46708e+00 2.09372e-02
1.47336e+00 1.97532e-02
1.47965e+00 1.87158e-02
1.48593e+00 1.77250e-02
1.49222e+00 1.66756e-02
1.49850e+00 1.55331e-02
1.50478e+00 1.43497e-02
1.51107e+00 1.32158e-02
1.51735e+00 1.22014e-02
1.52364e+00 1.13307e-02
1.52992e+00 1.05858e-02
1.53620e+00 9.92816e-03
1.54249e+00 9.32404e-03
1.54877e+00 8.75728e-03
1.55505e+00 8.22312e-03
1.56134e+00 7.72174e-03
1.56762e+00 7.25799e-03
1.57391e+00 6.83400e-03
1.58019e+00 6.43471e-03
1.58647e+00 6.02727e-03
1.59276e+00 5.58166e-03
1.59904e+00 5.09502e-03
1.60533e+00 4.59980e-03
1.61161e+00 4.14809e-03
1.61789e+00 3.77989e-03
1.62418e+00 3.49889e-03
1.63046e+00 3.27430e-03
1.63675e+00 3.06250e-03
1.64303e+00 2.83236e-03
1.64931e+00 2.58287e-03
1.65560e+00 2.34188e-03
1.66188e+00 2.14151e-03
1.66817e+00 1.99113e-03
1.67445e+00 1.87474e-03
1.68073e+00 1.77061e-03
1.68702e+00 1.66697e-03
1.69330e+00 1.56034e-03
1.69958e+00 1.44795e-03
1.70587e+00 1.32803e-03
1.71215e+00 1.20476e-03
1.71844e+00 1.08719e-03
1.72472e+00 9.81167e-04
1.73100e+00 8.84563e-04
1.73729e+00 7.92947e-04
1.74357e+00 7.08842e-04
1.74986e+00 6.41885e-04
1.75614e+00 5.97841e-04
1.76242e+00 5.69243e-04
1.76871e+00 5.40136e-04
1.77499e+00 5.00899e-04
1.78128e+00 4.56358e-04
1.78756e+00 4.18202e-04
1.79384e+00 3.91461e-04
1.80013e+00 3.70710e-04
1.80641e+00 3.48456e-04
1.81270e+00 3.23812e-04
1.81898e+00 3.01242e-04
1.82526e+00 2.82519e-04
1.83155e+00 2.62761e-04
1.83783e+00 2.35454e-04
1.84411e+00 2.00110e-04
1.85040e+00 1.63311e-04
1.85668e+00 1.32322e-04
1.86297e+00 1.09136e-04
1.86925e+00 9.11817e-05
1.87553e+00 7.61942e-05
1.88182e+00 6.47316e-05
1.88810e+00 5.85700e-05
1.89439e+00 5.85599e-05
1.90067e+00 6.41499e-05
1.90695e+00 7.32498e-05
1.91324e+00 8.20225e-05
1.91952e+00 8.61828e-05
1.92581e+00 8.34881e-05
1.93209e+00 7.49877e-05
1.93837e+00 6.40801e-05
1.94466e+00 5.43438e-05
1.95094e+00 4.72576e-05
1.95722e+00 4.13326e-05
1.96351e+00 3.39813e-05
1.96979e+00 2.45218e-05
1.97608e+00 1.48863e-05
1.98236e+00 7.55468e-06
1.98864e+00 3.60281e-06
1.99493e+00 2.71191e-06
2.00121e+00 4.09223e-06
2.00750e+00 6.78968e-06
2.01378e+00 9.44698e-06
2.02006e+00 1.05619e-05

# A = 1.04
# mean_width = 1.04858e+00
# Columns: width PDF
1.42971e-01 6.75806e-04
1.55201e-01 1.62267e-03
1.67430e-01 3.54541e-03
1.79660e-01 7.10064e-03
1.91890e-01 1.31427e-02
2.04120e-01 2.26672e-02
2.16349e-01 3.67070e-02
2.28579e-01 5.61977e-02
2.40809e-01 8.18450e-02
2.53039e-01 1.14031e-01
2.65268e-01 1.52774e-01
2.77498e-01 1.97700e-01
2.89728e-01 2.48028e-01
3.01958e-01 3.02562e-01
3.14187e-01 3.59811e-01
3.26417e-01 4.18240e-01
3.38647e-01 4.76527e-01
3.50877e-01 5.33615e-01
3.63106e-01 5.88562e-01
3.75336e-01 6.40417e-01
3.87566e-01 6.88294e-01
3.99796e-01 7.31538e-01
4.12025e-01 7.69765e-01
4.24255e-01 8.02766e-01
4.36485e-01 8.30463e-01
4.48715e-01 8.52965e-01
4.60944e-01 8.70575e-01
4.73174e-01 8.83717e-01
4.85404e-01 8.92838e-01
4.97634e-01 8.98397e-01
5.09863e-01 9.00886e-01
5.22093e-01 9.00781e-01
5.34323e-01 8.98450e-01
5.46553e-01 8.94109e-01
5.58782e-01 8.87927e-01
5.71012e-01 8.80177e-01
5.83242e-01 8.71321e-01
5.95472e-01 8.61919e-01
6.07701e-01 8.52432e-01
6.19931e-01 8.43058e-01
6.32161e-01 8.33750e-01
6.44391e-01 8.24416e-01
6.56620e-01 8.15089e-01
6.68850e-01 8.05890e-01
6.81080e-01 7.96872e-01
6.93310e-01 7.87968e-01
7.05539e-01 7.79128e-01
7.17769e-01 7.70459e-01
7.29999e-01 7.62181e-01
7.42229e-01 7.54437e-01
7.54458e-01 7.47176e-01
7.66688e-01 7.40244e-01
7.78918e-01 7.33578e-01
7.91148e-01 7.27292e-01
8.03377e-01 7.21534e-01
8.15607e-01 7.16229e-01
8.27837e-01 7.11003e-01
8.40067e-01 7.05436e-01
8.52296e-01 6.99439e-01
8.64526e-01 6.93364e-01
8.76756e-01 6.87681e-01
8.88986e-01 6.82572e-01
9.01215e-01 6.77809e-01
9.13445e-01 6.72958e-01
9.25675e-01 6.67632e-01
9.37905e-01 6.61652e-01
9.50134e-01 6.55094e-01
9.62364e-01 6.48266e-01
9.74594e-01 6.41562e-01
9.86824e-01 6.35207e-01
9.99053e-01 6.29111e-01
1.01128e+00 6.22987e-01
1.02351e+00 6.16644e-01
1.03574e+00 6.10147e-01
1.04797e+00 6.03717e-01
1.06020e+00 5.97563e-01
1.07243e+00 5.91776e-01
1.08466e+00 5.86285e-01
1.09689e+00 5.80853e-01
1.10912e+00 5.75191e-01
1.12135e+00 5.69149e-01
1.13358e+00 5.62827e-01
1.14581e+00 5.56504e-01
1.15804e+00 5.50485e-01
1.17027e+00 5.45013e-01
1.18250e+00 5.40217e-01
1.19473e+00 5.36030e-01
1.20696e+00 5.32148e-01
1.21919e+00 5.28154e-01
1.23142e+00 5.23767e-01
1.24365e+00 5.18987e-01
1.25588e+00 5.14035e-01
1.26811e+00 5.09160e-01
1.28034e+00 5.04470e-01
1.29257e+00 4.99912e-01
1.30480e+00 4.95385e-01
1.31703e+00 4.90897e-01
1.32926e+00 4.86587e-01
1.34149e+00 4.82585e-01
1.35372e+00 4.78871e-01
1.36595e+00 4.75280e-01
1.37818e+00 4.71630e-01
1.39041e+00 4.67822e-01
1.40264e+00 4.63818e-01
1.41486e+00 4.59564e-01
1.42709e+00 4.54997e-01
1.43932e+00 4.50115e-01
1.45155e+00 4.45031e-01
1.46378e+00 4.39937e-01
1.47601e+00 4.35010e-01
1.48824e+00 4.30336e-01
1.50047e+00 4.25862e-01
1.51270e+00 4.21412e-01
1.52493e+00 4.16756e-01
1.53716e+00 4.11743e-01
1.54939e+00 4.06400e-01
1.56162e+00 4.00947e-01
1.57385e+00 3.95670e-01
1.58608e+00 3.90763e-01
1.59831e+00 3.86226e-01
1.61054e+00 3.81871e-01
1.62277e+00 3.77405e-01
1.63500e+00 3.72562e-01
1.64723e+00 3.67220e-01
1.65946e+00 3.61431e-01
1.67169e+00 3.55369e-01
1.68392e+00 3.49230e-01
1.69615e+00 3.43147e-01
1.70838e+00 3.37146e-01
1.72061e+00 3.31163e-01
1.73284e+00 3.25097e-01
1.74507e+00 3.18872e-01
1.75730e+00 3.12451e-01
1.76953e+00 3.05832e-01
1.78176e+00 2.99029e-01
1.79399e+00 2.92062e-01
1.80622e+00 2.84963e-01
1.81845e+00 2.77782e-01
1.83068e+00 2.70621e-01
1.84291e+00 2.63629e-01
1.85514e+00 2.56952e-01
1.86737e+00 2.50670e-01
1.87960e+00 2.44748e-01
1.89183e+00 2.39026e-01
1.90405e+00 2.33279e-01
1.91628e+00 2.27347e-01
1.92851e+00 2.21219e-01
1.94074e+00 2.14992e-01
1.95297e+00 2.08735e-01
1.96520e+00 2.02445e-01
1.97743e+00 1.96130e-01
1.98966e+00 1.89908e-01
2.00189e+00 1.83958e-01
2.01412e+00 1.78380e-01
2.02635e+00 1.73102e-01
2.03858e+00 1.67933e-01
2.05081e+00 1.62697e-01
2.06304e+00 1.57327e-01
2.07527e+00 1.51846e-01
2.08750e+00 1.46308e-01
2.09973e+00 1.40788e-01
2.11196e+00 1.35399e-01
2.12419e+00 1.30270e-01
2.13642e+00 1.25460e-01
2.14865e+00 1.20894e-01
2.16088e+00 1.16419e-01
2.17311e+00 1.11922e-01
2.18534e+00 1.07408e-01
2.19757e+00 1.02983e-01
2.20980e+00 9.87640e-02
2.22203e+00 9.47985e-02
2.23426e+00 9.10538e-02
2.24649e+00 8.74489e-02
2.25872e+00 8.39073e-02
2.27095e+00 8.03954e-02
2.28318e+00 7.69290e-02
2.29541e+00 7.35548e-02
2.30764e+00 7.03218e-02
2.31987e+00 6.72509e-02
2.33210e+00 6.43139e-02
2.34433e+00 6.14510e-02
2.35656e+00 5.86191e-02
2.36879e+00 5.58208e-02
2.38102e+00 5.30872e-02
2.39324e+00 5.04487e-02
2.40547e+00 4.79271e-02
2.41770e+00 4.55441e-02
2.42993e+00 4.33216e-02
2.44216e+00 4.12662e-02
2.45439e+00 3.93520e-02
2.46662e+00 3.75232e-02
2.47885e+00 3.57227e-02
2.49108e+00 3.39220e-02
2.50331e+00 3.21250e-02
2.51554e+00 3.03508e-02
2.52777e+00 2.86194e-02
2.54000e+00 2.69564e-02
2.55223e+00 2.54002e-02
2.56446e+00 2.39901e-02
2.57669e+00 2.27326e-02
2.58892e+00 2.15806e-02
2.60115e+00 2.04559e-02
2.61338e+00 1.93042e-02
2.62561e+00 1.81305e-02
2.63784e+00 1.69832e-02
2.65007e+00 1.59097e-02
2.66230e+00 1.49298e-02
2.67453e+00 1.40376e-02
2.68676e+00 1.32144e-02
2.69899e+00 1.24420e-02
2.71122e+00 1.17165e-02
2.72345e+00 1.10483e-02
2.73568e+00 1.04427e-02
2.74791e+00 9.87942e-03
2.76014e+00 9.31724e-03
2.77237e+00 8.72148e-03
2.78460e+00 8.08913e-03
2.79683e+00 7.44973e-03
2.80906e+00 6.84601e-03
2.82129e+00 6.31224e-03
2.83352e+00 5.86242e-03
2.84575e+00 5.48947e-03
2.85798e+00 5.17248e-03
2.87021e+00 4.88685e-03
2.88243e+00 4.61159e-03
2.89466e+00 4.33295e-03
2.90689e+00 4.04839e-03
2.91912e+00 3.76925e-03
2.93135e+00 3.51556e-03
2.94358e+00 3.30230e-03
2.95581e+00 3.12844e-03
2.96804e+00 2.97743e-03
2.98027e+00 2.82673e-03
2.99250e+00 2.65889e-03
3.00473e+00 2.47022e-03
3.01696e+00 2.27230e-03
3.02919e+00 2.08363e-03
3.04142e+00 1.91771e-03
3.05365e+00 1.77800e-03
3.06588e+00 1.66054e-03
3.07811e+00 1.55725e-03
3.09034e+00 1.45895e-03
3.10257e+00 1.36053e-03
3.11480e+00 1.26403e-03
3.12703e+00 1.17424e-03
3.13926e+00 1.09187e-03
3.15149e+00 1.01353e-03
3.16372e+00 9.38000e-04
3.17595e+00 8.69224e-04
3.18818e+00 8.11635e-04
3.20041e+00 7.63142e-04
3.21264e+00 7.14554e-04
3.22487e+00 6.57053e-04
3.23710e+00 5.90134e-04
3.24933e+00 5.22208e-04
3.26156e+00 4.64367e-04
3.27379e+00 4.23290e-04
3.28602e+00 3.97798e-04
3.29825e+00 3.80372e-04
3.31048e+00 3.62313e-04
3.32271e+00 3.38962e-04
3.33494e+00 3.11149e-04
3.34717e+00 2.82300e-04
3.35939e+00 2.54505e-04
3.37162e+00 2.27456e-04
3.38385e+00 2.00788e-04
3.39608e+00 1.76510e-04
3.40831e+00 1.58261e-04
3.42054e+00 1.48090e-04
3.43277e+00 1.44494e-04
3.44500e+00 1.43610e-04
3.45723e+00 1.41693e-04
3.46946e+00 1.36656e-04
3.48169e+00 1.28399e-04
3.49392e+00 1.18195e-04
3.50615e+00 1.07270e-04
3.51838e+00 9.57370e-05
3.53061e+00 8.31276e-05
3.54284e+00 6.98113e-05
3.55507e+00 5.75035e-05
3.56730e+00 4.82131e-05
3.57953e+00 4.26590e-05
3.59176e+00 3.97530e-05
3.60399e+00 3.76950e-05
3.61622e+00 3.54615e-05
3.62845e+00 3.30531e-05
3.64068e+00 3.05194e-05
3.65291e+00 2.74024e-05
3.66514e+00 2.35205e-05
3.67737e+00 1.98765e-05
3.68960e+00 1.80974e-05
3.70183e+00 1.88442e-05
3.71406e+00 2.10706e-05
3.72629e+00 2.29331e-05
3.73852e+00 2.32494e-05
3.75075e+00 2.20546e-05
3.76298e+00 2.00163e-05
3.77521e+00 1.76014e-05
3.78744e+00 1.48294e-05
3.79967e+00 1.16226e-05

# A = 0.38
# mean_width = 1.56116e+00
# Columns: width PDF
1.58054e-01 3.00627e-03
1.79000e-01 6.71185e-03
1.99947e-01 1.35367e-02
2.20893e-01 2.48879e-02
2.41839e-01 4.20865e-02
2.62785e-01 6.60236e-02
2.83731e-01 9.68802e-02
3.04677e-01 1.34037e-01
3.25623e-01 1.76207e-01
3.46569e-01 2.21697e-01
3.67516e-01 2.68679e-01
3.88462e-01 3.15383e-01
4.09408e-01 3.60218e-01
4.30354e-01 4.01830e-01
4.51300e-01 4.39173e-01
4.72246e-01 4.71595e-01
4.93192e-01 4.98895e-01
5.14138e-01 5.21237e-01
5.35085e-01 5.38946e-01
5.56031e-01 5.52346e-01
5.76977e-01 5.61755e-01
5.97923e-01 5.67560e-01
6.18869e-01 5.70254e-01
6.39815e-01 5.70378e-01
6.60761e-01 5.68455e-01
6.81707e-01 5.64939e-01
7.02654e-01 5.60173e-01
7.23600e-01 5.54404e-01
7.44546e-01 5.47826e-01
7.65492e-01 5.40608e-01
7.86438e-01 5.32874e-01
8.07384e-01 5.24729e-01
8.28330e-01 5.16337e-01
8.49276e-01 5.07951e-01
8.70223e-01 4.99838e-01
8.91169e-01 4.92205e-01
9.12115e-01 4.85156e-01
9.33061e-01 4.78684e-01
9.54007e-01 4.72668e-01
9.74953e-01 4.66938e-01
9.95899e-01 4.61364e-01
1.01685e+00 4.55911e-01
1.03779e+00 4.50615e-01
1.05874e+00 4.45544e-01
1.07968e+00 4.40759e-01
1.10063e+00 4.36273e-01
1.12158e+00 4.32036e-01
1.14252e+00 4.27986e-01
1.16347e+00 4.24109e-01
1.18441e+00 4.20451e-01
1.20536e+00 4.17057e-01
1.22631e+00 4.13875e-01
1.24725e+00 4.10689e-01
1.26820e+00 4.07187e-01
1.28915e+00 4.03172e-01
1.31009e+00 3.98743e-01
1.33104e+00 3.94253e-01
1.35198e+00 3.90063e-01
1.37293e+00 3.86301e-01
1.39388e+00 3.82826e-01
1.41482e+00 3.79391e-01
1.43577e+00 3.75827e-01
1.45671e+00 3.72112e-01
1.47766e+00 3.68309e-01
1.49861e+00 3.64481e-01
1.51955e+00 3.60676e-01
1.54050e+00 3.56952e-01
1.56144e+00 3.53385e-01
1.58239e+00 3.49995e-01
1.60334e+00 3.46684e-01
1.62428e+00 3.43270e-01
1.64523e+00 3.39629e-01
1.66618e+00 3.35804e-01
1.68712e+00 3.31976e-01
1.70807e+00 3.28315e-01
1.72901e+00 3.24861e-01
1.74996e+00 3.21571e-01
1.77091e+00 3.18448e-01
1.79185e+00 3.15558e-01
1.81280e+00 3.12940e-01
1.83374e+00 3.10523e-01
1.85469e+00 3.08156e-01
1.87564e+00 3.05701e-01
1.89658e+00 3.03097e-01
1.91753e+00 3.00345e-01
1.93847e+00 2.97467e-01
1.95942e+00 2.94475e-01
1.98037e+00 2.91407e-01
2.00131e+00 2.88372e-01
2.02226e+00 2.85518e-01
2.04321e+00 2.82935e-01
2.06415e+00 2.80586e-01
2.08510e+00 2.78358e-01
2.10604e+00 2.76167e-01
2.12699e+00 2.74016e-01
2.14794e+00 2.71948e-01
2.16888e+00 2.69950e-01
2.18983e+00 2.67904e-01
2.21077e+00 2.65649e-01
2.23172e+00 2.63091e-01
2.25267e+00 2.60271e-01
2.27361e+00 2.57328e-01
2.29456e+00 2.54418e-01
2.31551e+00 2.51637e-01
2.33645e+00 2.48989e-01
2.35740e+00 2.46396e-01
2.37834e+00 2.43740e-01
2.39929e+00 2.40947e-01
2.42024e+00 2.38031e-01
2.44118e+00 2.35062e-01
2.46213e+00 2.32078e-01
2.48307e+00 2.29048e-01
2.50402e+00 2.25937e-01
2.52497e+00 2.22763e-01
2.54591e+00 2.19576e-01
2.56686e+00 2.16383e-01
2.58780e+00 2.13131e-01
2.60875e+00 2.09752e-01
2.62970e+00 2.06231e-01
2.65064e+00 2.02613e-01
2.67159e+00 1.98959e-01
2.69254e+00 1.95302e-01
2.71348e+00 1.91641e-01
2.73443e+00 1.87971e-01
2.75537e+00 1.84318e-01
2.77632e+00 1.80712e-01
2.79727e+00 1.77113e-01
2.81821e+00 1.73403e-01
2.83916e+00 1.69483e-01
2.86010e+00 1.65395e-01
2.88105e+00 1.61318e-01
2.90200e+00 1.57426e-01
2.92294e+00 1.53751e-01
2.94389e+00 1.50157e-01
2.96484e+00 1.46464e-01
2.98578e+00 1.42578e-01
3.00673e+00 1.38545e-01
3.02767e+00 1.34508e-01
3.04862e+00 1.30600e-01
3.06957e+00 1.26861e-01
3.09051e+00 1.23233e-01
3.11146e+00 1.19627e-01
3.13240e+00 1.15984e-01
3.15335e+00 1.12314e-01
3.17430e+00 1.08693e-01
3.19524e+00 1.05224e-01
3.21619e+00 1.01955e-01
3.23713e+00 9.88383e-02
3.25808e+00 9.57701e-02
3.27903e+00 9.26751e-02
3.29997e+00 8.95469e-02
3.32092e+00 8.64244e-02
3.34187e+00 8.33521e-02
3.36281e+00 8.03623e-02
3.38376e+00 7.74758e-02
3.40470e+00 7.46941e-02
3.42565e+00 7.19850e-02
3.44660e+00 6.92913e-02
3.46754e+00 6.65737e-02
3.48849e+00 6.38467e-02
3.50943e+00 6.11691e-02
3.53038e+00 5.85984e-02
3.55133e+00 5.61560e-02
3.57227e+00 5.38252e-02
3.59322e+00 5.15695e-02
3.61416e+00 4.93540e-02
3.63511e+00 4.71662e-02
3.65606e+00 4.50296e-02
3.67700e+00 4.29997e-02
3.69795e+00 4.11264e-02
3.71890e+00 3.94010e-02
3.73984e+00 3.77388e-02
3.76079e+00 3.60319e-02
3.78173e+00 3.42336e-02
3.80268e+00 3.23946e-02
3.82363e+00 3.06182e-02
3.84457e+00 2.89824e-02
3.86552e+00 2.75003e-02
3.88646e+00 2.61372e-02
3.90741e+00 2.48481e-02
3.92836e+00 2.36007e-02
3.94930e+00 2.23833e-02
3.97025e+00 2.12042e-02
3.99120e+00 2.00804e-02
4.01214e+00 1.90195e-02
4.03309e+00 1.80110e-02
4.05403e+00 1.70369e-02
4.07498e+00 1.60834e-02
4.09593e+00 1.51397e-02
4.11687e+00 1.41982e-02
4.13782e+00 1.32705e-02
4.15876e+00 1.23963e-02
4.17971e+00 1.16198e-02
4.20066e+00 1.09543e-02
4.22160e+00 1.03758e-02
4.24255e+00 9.84864e-03
4.26349e+00 9.34961e-03
4.28444e+00 8.86589e-03
4.30539e+00 8.38386e-03
4.32633e+00 7.89094e-03
4.34728e+00 7.38825e-03
4.36823e+00 6.89592e-03
4.38917e+00 6.44492e-03
4.41012e+00 6.06206e-03
4.43106e+00 5.75417e-03
4.45201e+00 5.49932e-03
4.47296e+00 5.25543e-03
4.49390e+00 4.98441e-03
4.51485e+00 4.67262e-03
4.53579e+00 4.33277e-03
4.55674e+00 3.99149e-03
4.57769e+00 3.67534e-03
4.59863e+00 3.40130e-03
4.61958e+00 3.17173e-03
4.64053e+00 2.97460e-03
4.66147e+00 2.79112e-03
4.68242e+00 2.60828e-03
4.70336e+00 2.42710e-03
4.72431e+00 2.25927e-03
4.74526e+00 2.11603e-03
4.76620e+00 1.99896e-03
4.78715e+00 1.89857e-03
4.80809e+00 1.79983e-03
4.82904e+00 1.69063e-03
4.84999e+00 1.56838e-03
4.87093e+00 1.44067e-03
4.89188e+00 1.31963e-03
4.91282e+00 1.21317e-03
4.93377e+00 1.12061e-03
4.95472e+00 1.03616e-03
4.97566e+00 9.55208e-04
4.99661e+00 8.76211e-04
5.01756e+00 7.99584e-04
5.03850e+00 7.28061e-04
5.05945e+00 6.67046e-04
5.08039e+00 6.20607e-04
5.10134e+00 5.85415e-04
5.12229e+00 5.50316e-04
5.14323e+00 5.04099e-04
5.16418e+00 4.44796e-04
5.18512e+00 3.81657e-04
5.20607e+00 3.27831e-04
5.22702e+00 2.90445e-04
5.24796e+00 2.66853e-04
5.26891e+00 2.49503e-04
5.28985e+00 2.33434e-04
5.31080e+00 2.18974e-04
5.33175e+00 2.08515e-04
5.35269e+00 2.02169e-04
5.37364e+00 1.96746e-04
5.39459e+00 1.88177e-04
5.41553e+00 1.74594e-04
5.43648e+00 1.57552e-04
5.45742e+00 1.40621e-04
5.47837e+00 1.26740e-04
5.49932e+00 1.16752e-04
5.52026e+00 1.10006e-04
5.54121e+00 1.05585e-04
5.56215e+00 1.02685e-04
5.58310e+00 1.00480e-04
5.60405e+00 9.84424e-05
5.62499e+00 9.67206e-05
5.64594e+00 9.56933e-05
5.66689e+00 9.51993e-05
5.68783e+00 9.45402e-05
5.70878e+00 9.30232e-05
5.72972e+00 9.02251e-05
5.75067e+00 8.60599e-05
5.77162e+00 8.09657e-05
5.79256e+00 7.59101e-05
5.81351e+00 7.19344e-05
5.83445e+00 6.95334e-05
5.85540e+00 6.83553e-05
5.87635e+00 6.73011e-05
5.89729e+00 6.48005e-05
5.91824e+00 5.93811e-05
5.93918e+00 5.07967e-05
5.96013e+00 4.09616e-05
5.98108e+00 3.32337e-05
6.00202e+00 3.00774e-05
6.02297e+00 3.12179e-05
6.04392e+00 3.39878e-05
6.06486e+00 3.52336e-05
6.08581e+00 3.30509e-05
6.10675e+00 2.74771e-05
6.12770e+00 2.01812e-05
6.14865e+00 1.34662e-05
6.16959e+00 9.13496e-06
6.19054e+00 7.81452e-06
6.21148e+00 8.93972e-06
6.23243e+00 1.12672e-05
6.25338e+00 1.36484e-05
6.27432e+00 1.55309e-05
6.29527e+00 1.67582e-05
6.31622e+00 1.70469e-05
6.33716e+00 1.59773e-05
6.35811e+00 1.35566e-05
6.37905e+00 1.04818e-05
6.40000e+00 7.62698e-06
6.42095e+00 5.39141e-06

# A = 0.17
# mean_width = 2.18903e+00
# Columns: width PDF
1.49996e-01 3.84280e-03
1.78647e-01 8.10946e-03
2.07298e-01 1.55534e-02
2.35949e-01 2.73221e-02
2.64600e-01 4.43135e-02
2.93251e-01 6.68881e-02
3.21902e-01 9.46851e-02
3.50554e-01 1.26615e-01
3.79205e-01 1.61052e-01
4.07856e-01 1.96166e-01
4.36507e-01 2.30282e-01
4.65158e-01 2.62121e-01
4.93809e-01 2.90862e-01
5.22460e-01 3.16057e-01
5.51111e-01 3.37516e-01
5.79763e-01 3.55222e-01
6.08414e-01 3.69301e-01
6.37065e-01 3.80001e-01
6.65716e-01 3.87643e-01
6.94367e-01 3.92587e-01
7.23018e-01 3.95194e-01
7.51669e-01 3.95807e-01
7.80321e-01 3.94741e-01
8.08972e-01 3.92303e-01
8.37623e-01 3.88805e-01
8.66274e-01 3.84557e-01
8.94925e-01 3.79819e-01
9.23576e-01 3.74747e-01
9.52227e-01 3.69400e-01
9.80879e-01 3.63795e-01
1.00953e+00 3.57979e-01
1.03818e+00 3.52057e-01
1.06683e+00 3.46175e-01
1.09548e+00 3.40471e-01
1.12413e+00 3.35036e-01
1.15279e+00 3.29898e-01
1.18144e+00 3.25043e-01
1.21009e+00 3.20446e-01
1.23874e+00 3.16089e-01
1.26739e+00 3.11974e-01
1.29604e+00 3.08108e-01
1.32469e+00 3.04485e-01
1.35334e+00 3.01071e-01
1.38199e+00 2.97814e-01
1.41065e+00 2.94673e-01
1.43930e+00 2.91649e-01
1.46795e+00 2.88784e-01
1.49660e+00 2.86121e-01
1.52525e+00 2.83649e-01
1.55390e+00 2.81291e-01
1.58255e+00 2.78939e-01
1.61120e+00 2.76519e-01
1.63985e+00 2.74029e-01
1.66851e+00 2.71532e-01
1.69716e+00 2.69096e-01
1.72581e+00 2.66750e-01
1.75446e+00 2.64474e-01
1.78311e+00 2.62228e-01
1.81176e+00 2.59978e-01
1.84041e+00 2.57716e-01
1.86906e+00 2.55463e-01
1.89771e+00 2.53244e-01
1.92637e+00 2.51061e-01
1.95502e+00 2.48872e-01
1.98367e+00 2.46611e-01
2.01232e+00 2.44256e-01
2.04097e+00 2.41870e-01
2.06962e+00 2.39575e-01
2.09827e+00 2.37460e-01
2.12692e+00 2.35517e-01
2.15558e+00 2.33632e-01
2.18423e+00 2.31659e-01
2.21288e+00 2.29509e-01
2.24153e+00 2.27195e-01
2.27018e+00 2.24810e-01
2.29883e+00 2.22461e-01
2.32748e+00 2.20225e-01
2.35613e+00 2.18136e-01
2.38478e+00 2.16195e-01
2.41344e+00 2.14381e-01
2.44209e+00 2.12653e-01
2.47074e+00 2.10962e-01
2.49939e+00 2.09266e-01
2.52804e+00 2.07558e-01
2.55669e+00 2.05856e-01
2.58534e+00 2.04186e-01
2.61399e+00 2.02543e-01
2.64264e+00 2.00886e-01
2.67130e+00 1.99159e-01
2.69995e+00 1.97347e-01
2.72860e+00 1.95510e-01
2.75725e+00 1.93761e-01
2.78590e+00 1.92196e-01
2.81455e+00 1.90836e-01
2.84320e+00 1.89611e-01
2.87185e+00 1.88418e-01
2.90050e+00 1.87181e-01
2.92916e+00 1.85870e-01
2.95781e+00 1.84496e-01
2.98646e+00 1.83082e-01
3.01511e+00 1.81649e-01
3.04376e+00 1.80222e-01
3.07241e+00 1.78822e-01
3.10106e+00 1.77448e-01
3.12971e+00 1.76075e-01
3.15836e+00 1.74664e-01
3.18702e+00 1.73199e-01
3.21567e+00 1.71695e-01
3.24432e+00 1.70192e-01
3.27297e+00 1.68730e-01
3.30162e+00 1.67316e-01
3.33027e+00 1.65921e-01
3.35892e+00 1.64480e-01
3.38757e+00 1.62928e-01
3.41623e+00 1.61232e-01
3.44488e+00 1.59402e-01
3.47353e+00 1.57490e-01
3.50218e+00 1.55567e-01
3.53083e+00 1.53703e-01
3.55948e+00 1.51936e-01
3.58813e+00 1.50260e-01
3.61678e+00 1.48623e-01
3.64543e+00 1.46947e-01
3.67409e+00 1.45159e-01
3.70274e+00 1.43215e-01
3.73139e+00 1.41122e-01
3.76004e+00 1.38933e-01
3.78869e+00 1.36714e-01
3.81734e+00 1.34524e-01
3.84599e+00 1.32394e-01
3.87464e+00 1.30332e-01
3.90329e+00 1.28334e-01
3.93195e+00 1.26380e-01
3.96060e+00 1.24428e-01
3.98925e+00 1.22418e-01
4.01790e+00 1.20307e-01
4.04655e+00 1.18094e-01
4.07520e+00 1.15829e-01
4.10385e+00 1.13570e-01
4.13250e+00 1.11349e-01
4.16115e+00 1.09143e-01
4.18981e+00 1.06899e-01
4.21846e+00 1.04577e-01
4.24711e+00 1.02184e-01
4.27576e+00 9.97716e-02
4.30441e+00 9.74128e-02
4.33306e+00 9.51560e-02
4.36171e+00 9.30009e-02
4.39036e+00 9.09070e-02
4.41901e+00 8.88256e-02
4.44767e+00 8.67276e-02
4.47632e+00 8.46122e-02
4.50497e+00 8.24997e-02
4.53362e+00 8.04185e-02
4.56227e+00 7.83877e-02
4.59092e+00 7.63993e-02
4.61957e+00 7.44141e-02
4.64822e+00 7.23793e-02
4.67688e+00 7.02596e-02
4.70553e+00 6.80562e-02
4.73418e+00 6.58045e-02
4.76283e+00 6.35560e-02
4.79148e+00 6.13579e-02
4.82013e+00 5.92409e-02
4.84878e+00 5.72158e-02
4.87743e+00 5.52808e-02
4.90608e+00 5.34303e-02
4.93474e+00 5.16588e-02
4.96339e+00 4.99580e-02
4.99204e+00 4.83130e-02
5.02069e+00 4.67019e-02
5.04934e+00 4.51020e-02
5.07799e+00 4.35016e-02
5.10664e+00 4.19085e-02
5.13529e+00 4.03437e-02
5.16394e+00 3.88269e-02
5.19260e+00 3.73678e-02
5.22125e+00 3.59707e-02
5.24990e+00 3.46385e-02
5.27855e+00 3.33688e-02
5.30720e+00 3.21491e-02
5.33585e+00 3.09629e-02
5.36450e+00 2.97976e-02
5.39315e+00 2.86488e-02
5.42180e+00 2.75188e-02
5.45046e+00 2.64152e-02
5.47911e+00 2.53471e-02
5.50776e+00 2.43206e-02
5.53641e+00 2.33349e-02
5.56506e+00 2.23836e-02
5.59371e+00 2.14608e-02
5.62236e+00 2.05660e-02
5.65101e+00 1.97045e-02
5.67966e+00 1.88825e-02
5.70832e+00 1.81004e-02
5.73697e+00 1.73488e-02
5.76562e+00 1.66125e-02
5.79427e+00 1.58792e-02
5.82292e+00 1.51480e-02
5.85157e+00 1.44301e-02
5.88022e+00 1.37413e-02
5.90887e+00 1.30891e-02
5.93753e+00 1.24668e-02
5.96618e+00 1.18596e-02
5.99483e+00 1.12570e-02
6.02348e+00 1.06599e-02
6.05213e+00 1.00771e-02
6.08078e+00 9.51786e-03
6.10943e+00 8.98930e-03
6.13808e+00 8.49684e-03
6.16673e+00 8.04347e-03
6.19539e+00 7.62625e-03
6.22404e+00 7.23578e-03
6.25269e+00 6.86158e-03
6.28134e+00 6.49892e-03
6.30999e+00 6.15017e-03
6.33864e+00 5.82005e-03
6.36729e+00 5.51007e-03
6.39594e+00 5.21672e-03
6.42459e+00 4.93325e-03
6.45325e+00 4.65307e-03
6.48190e+00 4.37313e-03
6.51055e+00 4.09554e-03
6.53920e+00 3.82674e-03
6.56785e+00 3.57501e-03
6.59650e+00 3.34846e-03
6.62515e+00 3.15363e-03
6.65380e+00 2.99336e-03
6.68245e+00 2.86381e-03
6.71111e+00 2.75426e-03
6.73976e+00 2.65176e-03
6.76841e+00 2.54711e-03
6.79706e+00 2.43661e-03
6.82571e+00 2.31936e-03
6.85436e+00 2.19497e-03
6.88301e+00 2.06421e-03
6.91166e+00 1.93025e-03
6.94031e+00 1.79818e-03
6.96897e+00 1.67346e-03
6.99762e+00 1.56064e-03
7.02627e+00 1.46171e-03
7.05492e+00 1.37467e-03
7.08357e+00 1.29400e-03
7.11222e+00 1.21355e-03
7.14087e+00 1.13014e-03
7.16952e+00 1.04504e-03
7.19818e+00 9.62586e-04
7.22683e+00 8.87247e-04
7.25548e+00 8.21412e-04
7.28413e+00 7.65094e-04
7.31278e+00 7.16868e-04
7.34143e+00 6.74835e-04
7.37008e+00 6.36946e-04
7.39873e+00 6.00975e-04
7.42738e+00 5.64920e-04
7.45604e+00 5.27938e-04
7.48469e+00 4.90781e-04
7.51334e+00 4.54833e-04
7.54199e+00 4.20577e-04
7.57064e+00 3.87192e-04
7.59929e+00 3.53498e-04
7.62794e+00 3.18846e-04
7.65659e+00 2.83184e-04
7.68524e+00 2.47046e-04
7.71390e+00 2.11941e-04
7.74255e+00 1.80267e-04
7.77120e+00 1.54115e-04
7.79985e+00 1.33883e-04
7.82850e+00 1.18127e-04
7.85715e+00 1.04689e-04
7.88580e+00 9.19503e-05
7.91445e+00 7.93961e-05
7.94310e+00 6.75386e-05
7.97176e+00 5.75275e-05
8.00041e+00 5.05187e-05
8.02906e+00 4.69318e-05
8.05771e+00 4.60788e-05
8.08636e+00 4.65973e-05
8.11501e+00 4.74450e-05
8.14366e+00 4.85617e-05
8.17231e+00 5.05425e-05
8.20096e+00 5.36891e-05
8.22962e+00 5.74782e-05
8.25827e+00 6.09860e-05
8.28692e+00 6.36957e-05
8.31557e+00 6.57354e-05
8.34422e+00 6.73518e-05
8.37287e+00 6.83465e-05
8.40152e+00 6.81336e-05
8.43017e+00 6.62381e-05
8.45883e+00 6.26152e-05
8.48748e+00 5.75665e-05
8.51613e+00 5.15149e-05
8.54478e+00 4.48703e-05
8.57343e+00 3.79793e-05
8.60208e+00 3.11095e-05
8.63073e+00 2.44874e-05
8.65938e+00 1.83627e-05
8.68803e+00 1.30102e-05
8.71669e+00 8.64652e-06