# -*- coding: utf-8 -*-
# PyMeeus: Python module implementing astronomical algorithms.
# Copyright (C) 2018 Dagoberto Salazar
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
from math import sin, cos, tan, acos, atan2, sqrt, radians, log10
from pymeeus.Angle import Angle
from pymeeus.Epoch import Epoch, JDE2000
from pymeeus.Interpolation import Interpolation
from pymeeus.Coordinates import (
geometric_vsop_pos, apparent_vsop_pos, orbital_elements,
nutation_longitude, true_obliquity, ecliptical2equatorial,
passage_nodes_elliptic
)
from pymeeus.Earth import Earth
from pymeeus.Sun import Sun
"""
.. module:: Mercury
:synopsis: Class to model Mercury planet
:license: GNU Lesser General Public License v3 (LGPLv3)
.. moduleauthor:: Dagoberto Salazar
"""
VSOP87_L = [
# L0
[
[440250710.144, 0.00000000000, 0.00000000000],
[40989414.976, 1.48302034194, 26087.90314157420],
[5046294.199, 4.47785489540, 52175.80628314840],
[855346.843, 1.16520322351, 78263.70942472259],
[165590.362, 4.11969163181, 104351.61256629678],
[34561.897, 0.77930765817, 130439.51570787099],
[7583.476, 3.71348400510, 156527.41884944518],
[3559.740, 1.51202669419, 1109.37855209340],
[1726.012, 0.35832239908, 182615.32199101939],
[1803.463, 4.10333178410, 5661.33204915220],
[1364.682, 4.59918318745, 27197.28169366760],
[1589.923, 2.99510417815, 25028.52121138500],
[1017.332, 0.88031439040, 31749.23519072640],
[714.182, 1.54144865265, 24978.52458948080],
[643.759, 5.30266110787, 21535.94964451540],
[404.200, 3.28228847025, 208703.22513259359],
[352.441, 5.24156297101, 20426.57109242200],
[343.313, 5.76531885335, 955.59974160860],
[339.214, 5.86327765000, 25558.21217647960],
[451.137, 6.04989275289, 51116.42435295920],
[325.335, 1.33674334780, 53285.18483524180],
[259.587, 0.98732428184, 4551.95349705880],
[345.212, 2.79211901539, 15874.61759536320],
[272.947, 2.49451163975, 529.69096509460],
[234.830, 0.26672118900, 11322.66409830440],
[238.793, 0.11343953378, 1059.38193018920],
[264.336, 3.91705094013, 57837.13833230060],
[216.645, 0.65987207348, 13521.75144159140],
[183.359, 2.62878670784, 27043.50288318280],
[175.965, 4.53636829858, 51066.42773105500],
[181.629, 2.43413502466, 25661.30495069820],
[208.995, 2.09178234008, 47623.85278608960],
[172.643, 2.45200164173, 24498.83024629040],
[142.316, 3.36003948842, 37410.56723987860],
[137.942, 0.29098447849, 10213.28554621100],
[118.233, 2.78149786369, 77204.32749453338],
[96.860, 6.20398202740, 234791.12827416777],
[125.219, 3.72079804425, 39609.65458316560],
[86.819, 2.64219349385, 51646.11531805379],
[86.723, 1.95953042650, 46514.47423399620],
[88.329, 5.41338795963, 26617.59410666880],
[106.422, 4.20572116254, 19804.82729158280],
[89.987, 5.85243631094, 41962.52073693740],
[84.971, 4.33100364958, 79373.08797681599],
[69.247, 4.19446437496, 19.66976089979],
[63.463, 3.14700877722, 7238.67559160000],
[68.493, 0.63424819267, 83925.04147387479],
[69.729, 3.57201709671, 25132.30339996560],
[59.481, 2.74692752000, 16983.99614745660],
[64.830, 0.04762925810, 33326.57873317420],
[55.376, 4.05312663019, 30639.85663863300],
[54.442, 3.14331542453, 27147.28507176339],
[47.560, 5.49722099211, 3.88133535800],
[49.567, 3.98985863874, 6770.71060124560],
[56.531, 5.11920557675, 73711.75592766379],
[41.764, 5.64185159566, 53131.40602475700],
[51.458, 5.47786463494, 50586.73338786459],
[44.744, 1.22366857463, 77154.33087262919],
[41.882, 5.19309298528, 6283.07584999140],
[38.045, 2.43117327523, 12566.15169998280],
[35.627, 0.81390126585, 32858.61374281979],
[48.007, 5.49260554912, 51749.20809227239],
[35.392, 3.36964859355, 36301.18868778519],
[33.951, 2.78618091049, 14765.23904326980],
[30.560, 5.84045074182, 43071.89928903080],
[35.964, 1.42380838630, 2218.75710418680],
[34.044, 0.47470299167, 65697.55772473979],
[30.800, 5.77017310191, 103292.23063610759],
[28.496, 0.65048992658, 426.59819087600],
[26.215, 5.24158618719, 22645.32819660879],
[26.253, 0.64807043102, 1589.07289528380],
[29.538, 0.69771244088, 213.29909543800],
[27.504, 0.98010127839, 45892.73043315699],
[22.347, 5.65335125838, 77734.01845962799],
[22.047, 4.93398225193, 72602.37737557039],
[22.275, 2.17909842576, 52705.49724824299],
[24.252, 4.39994170609, 7.11354700080],
[26.751, 1.06145361792, 3442.57494496540],
[23.656, 2.84168536986, 260879.03141574195],
[22.908, 2.58462026514, 68050.42387851159],
[27.086, 0.08501738669, 63498.47038145279],
[22.247, 3.22418265191, 25448.00585526019],
[17.803, 3.61202297483, 110012.94461544899],
[22.407, 1.02520094825, 105460.99111839019],
[17.576, 4.71742326981, 25874.60404613620],
[18.586, 4.52709871258, 28306.66024576099],
[14.176, 6.12394176563, 53235.18821333759],
[14.186, 5.14246797066, 26068.23338067440],
[17.244, 0.28394746813, 51220.20654153979],
[17.176, 3.26084092971, 153.77881048480],
[14.938, 1.83542009339, 99799.65906923798],
[13.387, 0.76564655407, 56727.75978020720],
[13.978, 2.30193139916, 76674.63652943878],
[14.428, 0.96646356501, 26107.57290247399],
[11.990, 6.20492907598, 18849.22754997420],
[14.381, 1.90956715654, 23969.13928119580],
[11.233, 2.04817126136, 32370.97899156560],
[13.392, 4.51750784605, 26080.78959457339],
[11.632, 2.38496860260, 79219.30916633119],
[12.412, 2.22280944169, 77837.11123384659],
[9.950, 2.04594448880, 48733.23133818299],
[9.803, 2.26706433546, 26091.78447693220],
[9.362, 5.44291958209, 38654.05484155699],
[9.747, 3.83976857418, 26084.02180621620],
[9.264, 4.02987000812, 467.96499035440],
[8.961, 0.11062526114, 62389.09182935939],
[11.543, 4.17789167759, 103242.23401420339],
[11.146, 3.78292300417, 26301.20223701220],
[9.677, 2.98527809776, 59414.48187474840],
[8.977, 3.47888073089, 91785.46086631398],
[9.664, 5.77941968495, 25938.33994443960],
[8.855, 2.84672636028, 25035.63475838580],
[8.181, 5.77857196635, 40853.14218484400],
[8.033, 2.45692824195, 129380.13377768178],
[8.343, 5.34499871294, 19317.19254032860],
[7.425, 4.71160330390, 6.62855890001],
[9.001, 6.23396256413, 25021.40766438420],
[8.126, 1.12294634635, 26095.01668857500],
[6.568, 3.66248946629, 26514.50133245020],
[7.038, 3.99035923761, 71980.63357473118],
[6.956, 1.62821260299, 23869.14603738740],
[7.595, 0.18334396433, 12432.04265039780],
[6.061, 3.67044794062, 27676.97603685800],
[5.896, 5.57171141866, 94138.32702008578],
[5.716, 5.18204203484, 78793.40038981718],
[5.855, 2.14311779301, 20760.42703319140],
[5.681, 1.60727624525, 98690.28051714458],
[5.788, 2.35467492390, 103821.92160120218],
[5.121, 3.77832929907, 58946.51688439399],
[5.873, 5.76210244486, 286966.93455731618],
[5.858, 6.12538452806, 26011.63707029860],
[5.215, 3.29186833997, 38519.94579197200],
[6.000, 0.00057044073, 51535.90899683439],
[4.647, 0.29020584575, 136100.84775702318],
[5.787, 4.44783057272, 19406.67828817460],
[5.908, 4.12195491631, 29530.47808653960],
[5.918, 3.98930701135, 131548.89425996438],
[5.728, 3.02314979708, 89586.37352302698],
[3.928, 4.81437933690, 125887.56221081219],
[3.929, 2.48449041501, 69159.80243060499],
[3.681, 2.80180999964, 79323.09135491178],
[4.498, 1.50325539137, 51962.50718771040],
[3.687, 5.33717753698, 102762.53967101299],
[3.497, 1.85400531491, 52156.13652224860],
[3.867, 1.25354714671, 54394.56338733519],
[4.459, 4.88911997687, 50057.04242277000],
[3.396, 3.73870967348, 82815.66292178139],
[3.525, 6.07665337319, 25934.12433108940],
[3.492, 1.28206984744, 52168.69273614759],
[3.411, 6.13976263434, 639.89728631400],
[4.395, 3.25475914760, 77308.10968311399],
[2.990, 5.27323635392, 46848.33017476560],
[3.218, 5.20938751579, 103925.01437542078],
[2.899, 5.08451495112, 58458.88213313979],
[3.708, 0.02713701028, 26241.68195205900],
[2.991, 2.92278339368, 44937.13069154840],
[3.177, 0.05753403864, 22747.29071487440],
[3.163, 5.38713552769, 105307.21230790539],
[3.556, 3.96231142071, 52195.47604404819],
[2.787, 0.54704419913, 52389.10537858640],
[2.458, 1.14904830408, 2333.19639287200],
[2.492, 5.24922078791, 25668.41849769900],
[2.409, 2.14208355028, 64741.95798313119],
[2.509, 0.61934630416, 85034.42002596818],
[2.416, 5.26204437192, 52179.68761850640],
[2.296, 3.09900451546, 88476.99497093359],
[2.357, 0.17742385045, 117873.36400788819],
[3.012, 0.83689268367, 129330.13715577759],
[2.421, 3.95913346049, 49.99662190420],
[2.197, 2.56129546358, 3340.61242669980],
[2.402, 0.55121112633, 52171.92494779040],
[2.106, 5.41271503337, 155468.03691925600],
[2.566, 3.00606194044, 51109.31080595839],
[2.392, 0.17898534184, 103.09277421860],
[2.737, 1.08192567668, 632.78373931320],
[2.523, 5.90356438675, 51123.53789995999],
[2.098, 2.47132069140, 66941.04532641819],
[2.003, 3.75422326828, 16066.06586147480],
[2.188, 1.18654376903, 2118.76386037840],
[2.593, 2.55122032446, 25654.19140369739],
[2.559, 1.18101453315, 45494.58142974879],
[1.918, 0.79899605678, 26555.86813192860],
[1.819, 0.69178943674, 98068.53671630539],
[2.471, 2.55057179214, 52026.24308601380],
[1.704, 0.36723577740, 52602.40447402440],
[2.129, 2.66251948472, 18093.37469954999],
[1.715, 4.62177464710, 49957.04917896160],
[1.916, 5.83726462050, 85502.38501632259],
[1.976, 3.57365896777, 24395.73747207180],
[1.581, 0.36987184257, 53764.87917843220],
[1.589, 1.33531241950, 114.43928868521],
[2.042, 2.05385564074, 45405.09568190280],
[1.539, 2.25468618977, 120226.23016165999],
[1.525, 1.48231179113, 26094.53170047421],
[2.055, 4.16315644175, 52182.91983014920],
[1.829, 0.38846130335, 522.57741809380],
[2.105, 4.04128506778, 25234.70675982219],
[1.480, 1.87644604156, 104881.30353139139],
[1.460, 1.01790185557, 25455.11940226100],
[1.453, 0.34125222190, 1052.26838318840],
[1.449, 3.39742463494, 24505.94379329119],
[1.480, 4.55094492082, 124778.18365871879],
[1.481, 3.62242942443, 149.56319713460],
[1.516, 5.32327802440, 129909.82474277639],
[1.594, 3.00887674765, 77623.81213840858],
[1.927, 3.90378108197, 74.78159856730],
[1.373, 4.32419381493, 80482.46652890938],
[1.419, 3.90109225299, 7880.08915333899],
[1.525, 4.62451312025, 26081.27458267419],
[1.567, 0.65981123945, 157636.79740153858],
[1.725, 4.40112128069, 316.39186965660],
[1.263, 4.96320745251, 74821.13447975718],
[1.472, 5.56006656586, 95247.70557217918],
[1.315, 1.83254115004, 76144.94556434419],
[1.439, 0.83286166370, 55618.38122811380],
[1.355, 3.15837061982, 1066.49547719000],
[1.224, 3.24032680768, 162188.75089859738],
[1.390, 5.13745290383, 419.48464387520],
[1.310, 5.28250636680, 25619.93815121980],
[1.477, 2.40227455027, 313054.83769889036],
[1.252, 5.65227031449, 26013.12154300690],
[1.143, 0.38707356937, 42153.96900304900],
[1.082, 2.56550728704, 26190.99591579279],
[1.493, 2.89973504649, 52099.54021187280],
[1.468, 5.71507791250, 24491.71669928959],
[1.034, 1.49544294440, 151975.46535238638],
[1.314, 5.91505351846, 115674.27666460119],
[1.065, 3.61081835123, 206.18554843720],
[1.053, 5.17996026320, 23754.70674870219],
[0.964, 2.05264296353, 128850.44281258718],
[1.032, 3.39114761061, 25551.09862947879],
[1.065, 3.38225524038, 25863.55834587229],
[1.153, 5.76498787983, 44181.27784112419],
[0.960, 5.74774250678, 105410.99449648599],
[1.137, 6.20919445956, 103396.01282468818],
[0.914, 4.28855434634, 78256.59587772179],
[0.917, 3.27543718918, 76.26607127560],
[0.892, 4.82397571946, 78244.03966382280],
[0.976, 4.86442946387, 25131.61398560359],
[1.086, 0.73424633411, 33967.99229491319],
[1.162, 4.52128441898, 78050.41032928458],
[0.868, 2.78848256837, 52022.02747266360],
[0.943, 4.09736853870, 26720.68688088739],
[0.973, 4.54018615747, 24925.42843716640],
[0.845, 5.05414707498, 25977.69682035479],
[0.841, 1.89412486884, 130012.91751699499],
[0.920, 3.02504494542, 52329.58509363319],
[0.814, 3.15330668609, 48835.19385644859],
[0.876, 0.41318857467, 108903.56606335558],
[0.818, 1.61477924287, 40565.25432477420],
[1.074, 1.37296024678, 23439.44831610119],
[0.812, 2.82156935191, 25984.81036735560],
[0.775, 2.86911510061, 26727.80042788820],
[0.755, 5.44067645183, 24609.03656750980],
[0.921, 4.72557901430, 14477.35118320000],
[0.914, 4.70826349904, 6681.22485339960],
[0.749, 1.80279541026, 84546.78527471398],
[0.907, 0.64974692551, 78283.37918562238],
[0.854, 5.05058435764, 307.55762096960],
[0.766, 5.89942349817, 71025.03383312259],
[0.713, 3.55192633098, 78477.00852016058],
[0.718, 1.85061030321, 100909.03762133139],
[0.858, 5.43959629234, 536.80451209540],
[0.794, 3.77076518156, 155418.04029735178],
[0.848, 2.08790526575, 131395.11544947958],
[0.622, 3.14583461131, 143961.26714946239],
[0.623, 4.58424507963, 9103.90699411760],
[0.623, 5.10535773746, 90829.86112470538],
[0.706, 4.19554833142, 71582.48457132299],
[0.738, 0.15942404038, 24712.12934172840],
[0.621, 1.32834420218, 3328.13565628019],
[0.714, 1.88052234658, 2199.08734328700],
[0.678, 6.01392909264, 77197.21394753258],
[0.650, 5.51227348491, 29428.51556827400],
[0.658, 2.03299256393, 51756.32163927320],
[0.593, 6.06807779961, 114564.89811250778],
[0.666, 0.70706334861, 26162.68474014150],
[0.597, 5.15771478155, 333.85594076940],
[0.616, 1.94902289932, 78267.59076008058],
[0.774, 2.84206828086, 13655.86049117640],
[0.698, 5.60747842278, 51742.09454527159],
[0.557, 2.07529602574, 181555.94006083018],
[0.547, 3.17747066781, 90695.75207512038],
[0.541, 4.20816350943, 28421.09953444620],
[0.639, 5.55908134374, 78114.14622758799],
[0.529, 3.60209913515, 1911.19948321720],
[0.620, 4.87816246784, 25771.51127191760],
[0.569, 3.56250435364, 111122.32316754239],
[0.510, 4.20331823730, 28206.66700195260],
[0.539, 5.42639519551, 93028.94846799239],
[0.659, 3.45407389663, 26610.48055966799],
[0.613, 3.52133069078, 78259.82808936459],
[0.594, 1.16299449628, 26404.29501123080],
[0.576, 0.81617266730, 51322.60990139639],
[0.497, 5.37540191935, 26037.90651966999],
[0.663, 2.63246066036, 77211.44104153418],
[0.487, 1.96691664683, 26507.38778544939],
[0.474, 3.65243004234, 124156.43985787958],
[0.550, 5.81040334783, 1731.12235293260],
[0.472, 3.79351701945, 52643.77127350280],
[0.467, 4.50175920356, 110.20632121940],
[0.593, 3.04818872924, 12725.45343477500],
[0.552, 0.68733268561, 26137.89976347840],
[0.525, 0.87988157932, 78270.82297172339],
[0.600, 0.33902061394, 50483.64061364600],
[0.443, 3.33385484899, 78690.30761559859],
[0.441, 1.31034191525, 76044.95232053580],
[0.588, 2.37074288411, 121335.60871375339],
[0.427, 0.14810668871, 50593.84693486539],
[0.413, 3.33346664325, 79852.78232000639],
[0.403, 5.20705536949, 146314.13330323418],
[0.524, 5.02853960393, 71492.99882347698],
[0.418, 5.99113644745, 103711.71527998279],
[0.388, 4.44142037364, 29416.03879785439],
[0.390, 4.02400157761, 51543.02254383520],
[0.442, 2.37158178341, 111590.28815789679],
[0.375, 4.47565026408, 52182.43484204840],
[0.387, 4.83640155029, 130969.20667296558],
[0.390, 1.20415517897, 150866.08680029298],
[0.416, 3.60399872842, 183724.70054311279],
[0.407, 0.52938530500, 433.71173787680],
[0.439, 2.45401498182, 50579.61984086379],
[0.412, 0.50186886239, 27999.10262479140],
[0.391, 0.68517124695, 134.10904958500],
[0.398, 1.99594942261, 155997.72788435058],
[0.346, 3.40308148193, 27140.17152476259],
[0.422, 5.83293462268, 38813.35657634920],
[0.342, 0.83679406818, 25764.39772491679],
[0.368, 3.80659045949, 81706.28436968799],
[0.355, 1.99286044781, 1089.70879119360],
[0.462, 3.33451630664, 25440.89230825939],
[0.330, 0.37013669364, 26237.46633870879],
[0.330, 6.19331560111, 188276.65404017159],
[0.407, 2.17141736652, 641.41356173899],
[0.321, 5.02532002650, 102232.84870591838],
[0.330, 5.53086966080, 10021.83728009940],
[0.336, 2.49163362426, 25344.91308104160],
[0.381, 5.90928705861, 78187.44335344699],
[0.316, 2.42532836233, 52101.02468458109],
[0.331, 4.38897286971, 26202.34243025941],
[0.401, 1.99380933624, 49842.60989027639],
[0.422, 0.46556669940, 1.48447270830],
[0.310, 6.18819197073, 27154.39861876420],
[0.302, 4.68575942793, 25565.32572348040],
[0.296, 1.70818196194, 25973.46385288896],
[0.375, 5.31085497894, 339142.74084046460],
[0.329, 5.32609571265, 853.19638175200],
[0.299, 5.81101886868, 1692.16566950240],
[0.378, 1.33745475273, 52169.17772424839],
[0.293, 4.43993559835, 579.68758699880],
[0.276, 4.45147472194, 178063.36849396059],
[0.283, 6.19860164015, 25881.71759313700],
[0.315, 1.95956643364, 51707.84129279399],
[0.337, 4.21457120705, 34282.17847478280],
[0.334, 3.00354887525, 23866.04650697719],
[0.268, 1.34437493520, 35191.81013569180],
[0.306, 5.94445231410, 64607.84893354619],
[0.283, 0.96234220412, 1639.06951718800],
[0.287, 1.28099267608, 51013.33157874059],
[0.269, 0.55818949975, 3462.24470586520],
[0.274, 5.61047457506, 52278.89905736699],
[0.352, 0.49071599781, 26294.08869001139],
[0.358, 1.23360990528, 1223.81784077861],
[0.343, 4.29256939583, 49527.35145767539],
[0.255, 5.03019684368, 154938.34595416137],
[0.297, 2.87172991159, 129483.91596626239],
[0.252, 0.09044630682, 13541.42120249119],
[0.301, 1.22789205624, 104138.31347085879],
[0.274, 3.67792692372, 68241.87214462319],
[0.321, 2.49914111769, 141762.17980617538],
[0.290, 1.02241335068, 8194.27533320860],
[0.240, 0.99284920524, 104344.49901929598],
[0.278, 0.53151576617, 949.17560896980],
[0.249, 2.39787134441, 131498.89763806018],
[0.274, 2.09560778105, 26624.70765366959],
[0.240, 3.14668052954, 23976.25282819660],
[0.239, 0.85198559240, 52808.59002246159],
[0.266, 0.18324709351, 2168.76048228260],
[0.226, 4.85701184113, 156100.82065856917],
[0.228, 2.19799888298, 50696.93970908399],
[0.231, 1.49522976308, 104331.94280539699],
[0.245, 4.68642861263, 5327.47610838280],
[0.281, 1.63579312063, 51219.51712717779],
[0.219, 5.75893553103, 78109.93061423779],
[0.233, 5.99853185125, 78417.48823520739],
[0.227, 6.02396548637, 1581.95934828300],
[0.218, 5.42819370607, 18207.81398823521],
[0.220, 3.72017611382, 7994.52844202420],
[0.271, 0.20833686608, 51639.00177105299],
[0.244, 2.33639123341, 25138.72753260440],
[0.254, 5.46143104532, 621.74380083920],
[0.209, 0.01908528531, 26164.16921284980],
[0.208, 6.18336687237, 74923.09699802278],
[0.274, 0.15423898790, 51951.46148744649],
[0.212, 1.95557421945, 735.87651353180],
[0.236, 4.28368070837, 24079.34560241519],
[0.206, 5.86972946528, 52072.71350892979],
[0.201, 1.61226877070, 25241.82030682300],
[0.235, 3.60446251088, 104371.28232719658],
[0.229, 3.66187363672, 1596.18644228460],
[0.198, 5.85298126352, 52815.70356946240],
[0.220, 1.39541547612, 32769.12799497380],
[0.229, 3.36265291664, 134991.46920492980],
[0.192, 1.03510456065, 25867.49049913539],
[0.199, 4.78126289270, 110634.68841628819],
[0.191, 4.24110997660, 14.22709400160],
[0.210, 5.44710702022, 147423.51185532758],
[0.229, 0.76266531820, 220.41264243880],
[0.185, 0.24752751791, 104564.91166173479],
[0.211, 1.81826670820, 52065.59996192899],
[0.182, 2.31946183497, 9384.84100807520],
[0.207, 0.77329376239, 917.93028598180],
[0.190, 0.91354241432, 97670.38771289718],
[0.184, 3.32299343484, 30.32686100440],
[0.209, 0.41150840785, 181505.94343892598],
[0.225, 5.06158596891, 157483.01859105378],
[0.184, 2.71529935065, 103285.11708910679],
[0.191, 1.96528922573, 314.18617986960],
[0.182, 4.30249539122, 1884.90116341740],
[0.192, 4.82097876700, 126996.94076290558],
[0.188, 0.98150502881, 26049.77010593640],
[0.184, 0.67028697590, 106570.36967048359],
[0.167, 5.71084692524, 96357.08412427259],
[0.184, 2.33710037381, 77829.99768684579],
[0.201, 2.57648669602, 97112.93697469679],
[0.176, 3.20466399658, 39629.32434406539],
[0.169, 2.30516098722, 101.96251826560],
[0.163, 6.11134623776, 170049.17029103660],
[0.195, 5.18276528052, 99024.13645791399],
[0.165, 6.00583599609, 224.34479570190],
[0.167, 3.75645242744, 52250.58788171570],
[0.172, 4.28474997892, 25780.34552060460],
[0.216, 3.20425967752, 50800.03248330259],
[0.157, 1.61810971101, 24815.22211594700],
[0.163, 1.77694235279, 116917.76426627958],
[0.156, 1.94644057334, 26421.75908234360],
[0.164, 3.81487619480, 77410.51304297059],
[0.158, 4.95279229085, 35472.74414964940],
[0.150, 5.03580916221, 207643.84320240439],
[0.208, 2.59008696784, 27819.02549450680],
[0.180, 5.62518388437, 103299.34418310839],
[0.165, 2.25945126594, 104202.04936916218],
[0.148, 3.94625893131, 24601.92302050899],
[0.149, 4.49766341520, 956.28915597060],
[0.157, 1.62995234425, 51859.41441349179],
[0.166, 0.21228205353, 52698.38370124219],
[0.151, 2.75061488385, 140652.80125408198],
[0.161, 1.72952408524, 2648.45482547300],
[0.169, 2.61298183547, 26086.41866886590],
[0.170, 0.78905798191, 72936.23331633979],
[0.177, 5.06009562295, 77844.22478084739],
[0.142, 2.61984020842, 24292.64469785319],
[0.150, 4.93124201089, 28286.99048486120],
[0.175, 5.79468120941, 39743.76363275060],
[0.163, 3.37032055762, 76571.54375522019],
[0.150, 1.79967850988, 3.93215326310],
[0.159, 4.90360163470, 104355.49390165479],
[0.149, 4.20242344258, 52492.19815280499],
[0.146, 1.31203861446, 26198.10946279360],
[0.162, 2.25640253895, 55516.41870984820],
[0.178, 1.81205070225, 26395.46076254379],
[0.132, 0.90685777764, 54294.57014352679],
[0.142, 1.70641940798, 92741.06060792258],
[0.138, 0.64298043300, 86143.79857806159],
[0.125, 0.32592941945, 150244.34299945380],
[0.131, 0.91963253985, 54509.00267602040],
[0.144, 4.17124383409, 24822.33566294780],
[0.135, 3.86821614788, 104358.72611329758],
[0.159, 4.72016316702, 4083.98850670440],
[0.122, 2.08133407370, 52125.80966124419],
[0.141, 2.08765477131, 119116.85160956658],
[0.122, 5.01211051965, 52595.29092702359],
[0.149, 0.38744219837, 487.63475125420],
[0.121, 3.30215904574, 1263.15736257819],
[0.138, 1.04671626049, 1083.08023229360],
[0.157, 5.17018916622, 23962.02573419499],
[0.163, 3.26593103179, 26089.38761428249],
[0.130, 0.56779128434, 25936.85547173129],
[0.160, 0.19385295261, 104347.73123093879],
[0.116, 2.69818513122, 129799.61842155698],
[0.113, 4.26323214388, 102132.85546210999],
[0.115, 1.35196569742, 75615.25459924959],
[0.135, 1.70032124143, 97580.90196505119],
[0.121, 0.20372434486, 38.13303563780],
[0.118, 0.49434134122, 78731.67441507700],
[0.119, 5.54562725890, 76667.52298243798],
[0.133, 4.67446352847, 2014.98167179780],
[0.126, 6.24694138116, 636.99627202420],
[0.120, 3.20442216756, 76681.75007643958],
[0.125, 3.65255045892, 29550.14784743939],
[0.118, 5.26052652437, 26729.31670331319],
[0.113, 6.26688921593, 104778.21075717278],
[0.134, 1.56524046563, 25939.82441714789],
[0.114, 3.52566774494, 24356.78078864160],
[0.120, 1.72596426067, 22759.76748529401],
[0.145, 3.61638421570, 52225.80290505260],
[0.107, 5.72285490406, 24176.70365835700],
[0.112, 0.28882268029, 209812.60368468694],
[0.121, 0.11234419157, 51528.79544983359],
[0.120, 4.17769370414, 25754.04720080480],
[0.105, 1.88137155058, 172402.03644480839],
[0.106, 6.27133163237, 105940.68546158058],
[0.104, 3.85061395100, 1478.86657406440],
[0.108, 2.96292200098, 1375.77379984580],
[0.132, 4.60210460022, 11610.55195837420],
[0.114, 5.20612177122, 137678.19129947099],
[0.107, 0.00557717441, 13362.44970679920],
[0.101, 0.73934409276, 77630.92568540938],
[0.097, 1.19155686364, 78270.33798362259],
[0.100, 0.25974575144, 160.40736938481],
[0.105, 0.03739853961, 180.07713028460],
[0.114, 5.13609864972, 1135.67687189320],
[0.101, 4.14323258440, 176953.98994186718],
[0.095, 0.49488385937, 107794.18751126219],
[0.095, 1.54869651436, 25973.50403466079],
[0.100, 1.51228088427, 157057.10981453978],
[0.106, 4.57237246234, 26073.67604757259],
[0.094, 3.53697338405, 26521.61487945100],
[0.091, 3.13017596287, 64901.25971792339],
[0.088, 5.20234335205, 1485.29070670320],
[0.116, 5.96693811684, 24182.43837663380],
[0.099, 2.12002549240, 66653.15746634839],
[0.105, 4.04764282865, 27726.97265876220],
[0.094, 2.62198655221, 104275.34649502118],
[0.106, 2.06629215696, 125112.03959948818],
[0.088, 3.88240703310, 51852.30086649099],
[0.085, 2.83285123847, 214364.55718174577],
[0.083, 5.44599307753, 78188.92782615528],
[0.083, 3.35497157412, 52325.36948028299],
[0.104, 4.95116515346, 182085.63102592478],
[0.110, 6.04814955763, 49953.94964855139],
[0.093, 1.00014028766, 9745.32055585660],
[0.081, 4.03821735964, 132658.27281205778],
[0.084, 0.11234538521, 53228.07466633679],
[0.094, 5.55962830464, 51432.81622261579],
[0.080, 6.13595673095, 137210.22630911658],
[0.080, 2.72256616799, 25042.74830538660],
[0.080, 4.29137248560, 77101.23472031478],
[0.085, 0.97100574775, 25788.77674730500],
[0.082, 1.89501710792, 128320.75184749259],
[0.077, 1.16185579398, 204151.27163553477],
[0.092, 4.44154858356, 26091.83529483729],
[0.078, 3.73813140716, 26222.01219115920],
[0.076, 4.28770981047, 86457.98475793119],
[0.076, 2.88868549481, 53242.30176033840],
[0.104, 4.32540467122, 23888.81579828719],
[0.094, 4.32453647728, 78257.08086582259],
[0.074, 4.96325610801, 26823.77965510599],
[0.077, 1.07428657729, 50167.24874398939],
[0.075, 2.56662960973, 19202.75325164339],
[0.099, 6.00141798836, 19958.60610206760],
[0.087, 3.55579419373, 52381.99183158559],
[0.078, 1.00822618263, 25352.02662804239],
[0.088, 3.52269656514, 60055.89543648739],
[0.078, 5.82066892741, 155571.81910783658],
[0.076, 2.96046756402, 25024.58905812189],
[0.076, 4.24421235710, 130226.21661243298],
[0.076, 2.22645638378, 36109.74042167360],
[0.072, 2.23348468194, 173511.41499690176],
[0.079, 1.13204602827, 52290.24557183361],
[0.074, 1.55328520138, 51653.22886505459],
[0.071, 2.26106298981, 159.30173479220],
[0.073, 2.05345178568, 26941.09952332620],
[0.095, 1.93550514722, 365230.64398203877],
[0.070, 4.74315846161, 52061.36699446317],
[0.085, 1.31607641314, 26667.59072857300],
[0.076, 5.58726680703, 13675.53025207620],
[0.092, 3.24599684677, 28256.66362385679],
[0.067, 1.15071488774, 55503.94193942859],
[0.068, 2.92993581219, 23919.14265929160],
[0.067, 1.77035470445, 181026.24909573558],
[0.066, 2.59648990707, 27780.06881107659],
[0.082, 5.36282814327, 167850.08294774959],
[0.064, 3.99165913279, 130432.40216087017],
[0.069, 5.13777502156, 52712.61079524379],
[0.063, 0.54837259436, 34082.43158359840],
[0.065, 3.89976847376, 27005.83342755599],
[0.073, 6.19252091852, 50064.15596977079],
[0.066, 1.91671959572, 102018.41617342478],
[0.082, 0.87824651640, 25446.48957983520],
[0.063, 3.87624799927, 78896.49316403578],
[0.062, 1.55377407031, 182188.72380014337],
[0.062, 4.71223563105, 103.78218858060],
[0.087, 3.57434964589, 27037.07875054399],
[0.077, 3.43626093365, 54087.00576636560],
[0.078, 4.92073893807, 77795.74443436819],
[0.071, 2.76139796167, 11.04570026390],
[0.064, 5.37974575072, 51226.63067417859],
[0.082, 3.78003355754, 26308.31578401300],
[0.062, 2.70733081732, 104505.39137678158],
[0.071, 5.05097183202, 27177.61193276780],
[0.070, 4.29342266024, 27311.72098235281],
[0.068, 2.34136362165, 78366.80219894118],
[0.060, 4.90888421377, 25508.21555457540],
[0.068, 6.04917764171, 647.01083331480],
[0.058, 2.46745404038, 104197.83375581198],
[0.067, 2.96573339768, 51969.62073471119],
[0.066, 5.33871332672, 157586.80077963436],
[0.058, 2.17528608366, 323.50541665740],
[0.062, 4.44991435917, 130419.84594697120],
[0.063, 0.27396211581, 130459.18546877075],
[0.063, 5.22327184571, 76784.84285065818],
[0.064, 4.64108529425, 61279.71327726600],
[0.062, 1.84001159422, 183570.92173262799],
[0.055, 1.66692917947, 31415.37924995700],
[0.058, 4.06522187846, 32132.13172294960],
[0.057, 2.07569387080, 17893.62780836560],
[0.055, 2.49038254003, 22625.65843570900],
[0.077, 6.17301946895, 25032.45336464809],
[0.068, 4.68765980625, 77307.42026875199],
[0.054, 4.63708190151, 51329.72344839720],
[0.055, 0.21233757772, 2221.85663459700],
[0.068, 2.36358626958, 25953.79409198919],
[0.053, 2.88564903323, 101011.00013959699],
[0.062, 1.19998944516, 26083.97098831109],
[0.054, 3.90599349467, 123758.29085447139],
[0.052, 2.60595997150, 78160.61665050399],
[0.072, 0.83460657204, 22909.75735100660],
[0.066, 3.17005690509, 78039.36462902068],
[0.052, 2.13323028898, 44295.71712980940],
[0.061, 1.63440457571, 61.72597474020],
[0.053, 2.00748586733, 24448.83362438620],
[0.051, 2.50978165702, 78903.60671103658],
[0.051, 3.22110952745, 130652.81480330898],
[0.060, 6.23105854697, 76887.93562487679],
[0.066, 3.23596712512, 77726.90491262719],
[0.059, 1.53485505891, 6044.22858137540],
[0.059, 1.10559326249, 26102.13023557580],
[0.060, 1.08408977503, 27972.80430499159],
[0.049, 2.24548271996, 425.90877651400],
[0.055, 3.33645161611, 207593.84658050019],
[0.067, 0.59579109206, 94329.77528619739],
[0.056, 4.05652507832, 26010.15259759030],
[0.056, 1.49670493057, 136722.59155786238],
[0.049, 4.72236375377, 5193.36705879780],
[0.049, 2.99400480872, 52252.07235442399],
[0.049, 4.15104806247, 51955.39364070959],
[0.050, 5.31916782876, 103917.90082841998],
[0.051, 4.32173710361, 58857.03113654799],
[0.050, 0.42233074233, 27684.08958385880],
[0.066, 5.06498799279, 73.29712585900],
[0.048, 0.80745705976, 2703.61615467560],
[0.048, 0.16882113823, 24918.31489016559],
[0.049, 5.71984539931, 50380.54783942739],
[0.061, 0.05575706789, 161079.37234650398],
[0.047, 5.70016549134, 129373.02023068098],
[0.048, 4.71754734372, 50903.12525752120],
[0.050, 0.77120384679, 50689.82616208319],
[0.050, 4.75557775921, 143005.66740785379],
[0.046, 1.03065291695, 51868.24866217880],
[0.046, 4.07474771884, 52137.67324751059],
[0.045, 2.75496032307, 196137.07343261078],
[0.056, 1.48667124221, 30171.89164827860],
[0.047, 3.49884159195, 26575.53789282839],
[0.048, 2.04489119557, 27573.19384827740],
[0.046, 1.96812600979, 27223.58001346740],
[0.044, 0.58466186909, 1243.48760167840],
[0.043, 0.48582749664, 78338.49102328988],
[0.046, 0.10663541022, 102659.44689679438],
[0.049, 1.92223535597, 50049.92887576919],
[0.047, 5.34811633125, 846.08283475120],
[0.046, 2.32911930278, 129387.24732468258],
[0.056, 1.46049477175, 28102.88481337200],
[0.050, 5.62967300375, 53906.92863608099],
[0.046, 5.09770472011, 151199.94274106238],
[0.043, 2.30154744958, 26709.64694241340],
[0.051, 2.88082546361, 27669.86248985719],
[0.055, 5.55849793732, 123200.84011627098],
[0.044, 0.48527820908, 80174.90890793978],
[0.048, 2.59296696271, 6720.71397934140],
[0.044, 0.24824938054, 742.99006053260],
[0.045, 2.48949498300, 65831.66677432480],
[0.045, 4.86503115391, 52483.36390411799],
[0.041, 5.23419163545, 130289.95251073639],
[0.041, 0.91885509326, 50910.23880452200],
[0.044, 3.12424163301, 26126.03617721200],
[0.042, 5.66855218492, 166740.70439565618],
[0.039, 5.01739570944, 26402.08932144380],
[0.038, 0.02313645928, 2111.65031337760],
[0.049, 4.11697361923, 25227.59321282139],
[0.038, 0.09191461136, 26118.23000257860],
[0.038, 5.03146092380, 24203.00197815680],
[0.051, 4.86305906640, 78153.50310350319],
[0.038, 0.13003640396, 27351.06050415239],
[0.038, 1.34984785206, 70269.18098269838],
[0.038, 0.52032944033, 103498.41618454478],
[0.040, 5.66117959398, 52174.32181044009],
[0.038, 0.92511339052, 112231.70171963578],
[0.051, 4.15223165568, 27170.98337386779],
[0.037, 1.67308781547, 54374.89362643540],
[0.038, 6.26592309401, 202.25339517410],
[0.036, 3.23911910889, 176332.24614102798],
[0.037, 1.90730795656, 3308.46589538040],
[0.037, 3.03203144287, 76041.85279012559],
[0.038, 3.17519743409, 78786.28684281638],
[0.035, 3.90697621183, 80382.47328510099],
[0.038, 2.00924199028, 1162.47470440780],
[0.036, 1.80080871248, 19336.86230122839],
[0.035, 4.66254825701, 77947.31755506598],
[0.043, 1.57972686428, 130443.39704322898],
[0.035, 0.74694549648, 25985.94062330859],
[0.040, 2.11415671365, 3492.57156686960],
[0.038, 4.65738726744, 22003.91463486980],
[0.037, 0.77571838110, 16703.06213349900],
[0.035, 5.00128829727, 52509.66222391780],
[0.047, 0.02275392308, 25014.29411738339],
[0.043, 3.15273137814, 130435.63437251298],
[0.034, 3.05681901713, 2820.83114412620],
[0.037, 4.68248751145, 123668.80510662538],
[0.034, 5.73615227262, 45290.65639321759],
[0.040, 2.76893017076, 50270.34151820800],
[0.038, 6.01229835605, 26057.57628056979],
[0.034, 6.25090722416, 21716.02677480000],
[0.034, 0.95587257158, 78580.10129437919],
[0.033, 3.35217476663, 235900.50682626115],
[0.032, 2.35469869139, 2383.19301477620],
[0.037, 3.80938441515, 8989.46770543239],
[0.043, 2.27476214717, 25169.97285559240],
[0.032, 4.14291864821, 2686.72209454120],
[0.037, 0.04571185840, 52177.29075585669],
[0.032, 1.53610678036, 233731.74634397859],
[0.038, 3.98892541543, 1300.82681820500],
[0.042, 5.10993958059, 145204.75475114078],
[0.033, 2.91530565997, 130866.11389874699],
[0.043, 1.77793563831, 103932.12792242158],
[0.035, 5.35726747093, 26189.86565983980],
[0.035, 0.65119403092, 1535.97674296940],
[0.044, 3.08976502022, 8014.19820292400],
[0.031, 0.90638189649, 128220.75860368418],
[0.042, 3.37905134636, 23549.65463732060],
[0.038, 0.38543000653, 515.46387109300],
[0.039, 1.08681725797, 25773.71696170459],
[0.036, 4.30448026071, 52286.01260436779],
[0.031, 5.08183330827, 78213.71280281838],
[0.038, 3.16432629306, 91805.13062721379],
[0.039, 1.47494002110, 4022.26253196420],
[0.042, 0.60192138814, 24388.62392507099],
[0.037, 3.23606285260, 28791.51929624980],
[0.040, 0.26646931277, 78313.70604662679],
[0.036, 4.38588497247, 81591.84508100279],
[0.035, 0.17056359345, 6129.29703950660],
[0.030, 2.50459470137, 102755.42612401219],
[0.040, 4.58870970073, 26076.85744131030],
[0.040, 4.09419634913, 35833.22369743080],
[0.030, 4.79837659477, 28736.35796704720],
[0.032, 3.42931668217, 24402.85101907260],
[0.029, 2.52212486456, 1353.74874501680],
[0.030, 4.69352116507, 24072.92146977640],
[0.029, 5.31070299201, 199599.31813847594],
[0.030, 3.20350587499, 23762.95373275860],
[0.036, 2.44362166097, 23336.35554188260],
[0.028, 2.77231585227, 26312.24793727610],
[0.028, 0.26775880889, 50444.68393021580],
[0.029, 3.50869792127, 15406.65260500879],
[0.030, 2.95993198433, 132028.58860315479],
[0.028, 3.41609673663, 133882.09065283637],
[0.033, 2.39929042753, 61560.64729122359],
[0.032, 1.34796958829, 37698.45509994840],
[0.028, 1.75026246832, 78683.19406859778],
[0.033, 4.51080770987, 3776.43088573480],
[0.032, 5.00665307820, 29396.36903695460],
[0.037, 5.23066729388, 81604.32185142238],
[0.028, 0.99927277404, 1322.67764753140],
[0.029, 2.00159770770, 25004.82290928060],
[0.035, 4.69198477732, 22065.64060961000],
[0.029, 3.80697601044, 24513.05734029200],
[0.032, 4.69401466159, 27250.37784598199],
[0.031, 5.86715902954, 5815.11085963699],
[0.027, 1.26702311366, 27044.19229754480],
[0.030, 3.44351888035, 104819.57755665119],
[0.028, 5.36078058708, 412.37109687440],
[0.028, 5.73893599832, 240452.46032331997],
[0.034, 5.19151430726, 2008.55753915900],
[0.030, 1.73241634839, 163766.09444104519],
[0.027, 5.30425762252, 24864.08530079559],
[0.032, 1.12362303179, 625.67019231240],
[0.030, 2.04171272941, 193937.98608932379],
[0.032, 4.78663079749, 75930.51303185058],
[0.030, 4.46891226150, 25450.90686955000],
[0.032, 4.73906176949, 48847.67062686820],
[0.027, 4.12514822062, 104358.24112519680],
[0.026, 0.67609297065, 35077.37084700659],
[0.033, 2.69651735555, 25647.07785669659],
[0.026, 4.94767789631, 209658.82487420217],
[0.035, 3.86705432105, 25466.15934073500],
[0.026, 4.79912409089, 198489.93958638259],
[0.026, 1.59971503257, 31281.27020037200],
[0.026, 1.20008223797, 153084.84390447979],
[0.026, 3.02443658098, 26724.89941359840],
[0.025, 2.03567222767, 52817.21984488739],
[0.027, 1.23585314301, 53.09615231440],
[0.026, 5.53069670975, 25657.37279743509],
[0.028, 0.93845909288, 158746.17595363196],
[0.025, 1.46977800361, 1272.68102562720],
[0.026, 2.45961936761, 181659.72224941078],
[0.034, 2.39774146758, 39763.43339365039],
[0.029, 6.23821353511, 102769.65321801379],
[0.029, 4.90111965589, 116783.65521669458],
[0.025, 3.02186465541, 39450.35284837340],
[0.027, 3.77575599741, 103718.82882698359],
[0.027, 3.92125046850, 80596.90581759460],
[0.023, 0.26970481255, 52609.51802102519],
[0.023, 5.98846059571, 27463.67694142000],
[0.025, 1.22968381596, 49976.71893986139],
[0.023, 5.57437029749, 155887.52156313116],
[0.023, 5.99507985020, 50007.04580086580],
[0.023, 1.44496012077, 5687.63036895200],
[0.024, 0.46516912647, 130446.62925487179],
[0.023, 0.94331115897, 28774.62523611540],
[0.027, 0.80529908381, 2698.45144737720],
[0.027, 0.27124610516, 1265.56747862640],
[0.023, 0.89381228793, 156314.11975400720],
[0.023, 2.96257779899, 12546.48193908300],
[0.022, 5.42940490576, 1485.98012106520],
[0.022, 1.03839316349, 103189.13786188899],
[0.023, 1.35379542887, 52161.57918914679],
[0.026, 6.01331218379, 122444.98726584678],
[0.030, 2.66518277698, 25600.26839032000],
[0.023, 4.07521268525, 230239.17477710897],
[0.024, 0.64355332403, 203041.89308344139],
[0.022, 1.39463873909, 952.07662325960],
[0.023, 1.98852683178, 7392.45440208480],
[0.028, 1.37381287166, 309.27832265580],
[0.022, 2.15165551798, 104276.83096772949],
[0.025, 4.93854060665, 101703.15774082378],
[0.023, 3.12039946936, 77616.69859140778],
[0.028, 0.40745832322, 55638.05098901359],
[0.024, 0.44199264440, 24285.53115085240],
[0.023, 1.33496997363, 163298.12945069079],
[0.021, 4.01469381260, 120417.67842777158],
[0.024, 0.63196904603, 77940.20400806518],
[0.022, 5.70851933792, 2840.50090502600],
[0.024, 4.45840068641, 183145.01295611399],
[0.023, 3.62152465067, 5635.03372935240],
[0.021, 3.04515069387, 9123.57675501740],
[0.021, 1.96886020684, 177287.84588263658],
[0.023, 0.59040250365, 25672.35065096209],
[0.021, 3.40810269373, 129586.31932611899],
[0.021, 3.09046433472, 26267.98027185880],
[0.024, 1.94276984966, 183674.70392120857],
[0.021, 3.98455358233, 6191.02301424680],
[0.028, 0.93414213433, 51841.95034237900],
[0.020, 4.59348701559, 52061.40717623499],
[0.027, 4.61439897742, 52027.72755872209],
[0.020, 0.48128544481, 52309.91533273340],
[0.020, 3.31281154655, 26248.31051095900],
[0.023, 1.67970146036, 23113.29318696320],
[0.020, 2.44057473344, 50264.60679993120],
[0.025, 5.43422956232, 2.96894541660],
[0.026, 3.61410457829, 52024.75861330549],
[0.020, 0.60321200025, 138319.60486120995],
[0.020, 2.62628682595, 164.43591058941],
[0.020, 0.65324774200, 156520.30530244438],
[0.027, 4.74395008878, 391318.54712361295],
[0.021, 4.45035214874, 25862.07387316400],
[0.021, 1.54947465846, 148.07872442630],
[0.027, 5.13202499307, 12382.04602849360],
[0.020, 0.68567124507, 42.88307490340],
[0.019, 1.92072938625, 78800.51393681798],
[0.027, 2.48188330716, 25665.23710396129],
[0.027, 1.27457874648, 7860.41939243920],
[0.022, 2.29809961839, 25865.04281858059],
[0.019, 4.09473921906, 76255.15188556358],
[0.020, 4.67174071386, 207114.15223730978],
[0.022, 2.63315058351, 7768.36655669460],
[0.020, 1.24271716091, 52179.73843641149],
[0.020, 6.11431848045, 24824.74577899600],
[0.023, 4.18071159026, 2125.87740737920],
[0.021, 0.74169140667, 1795.25844372100],
[0.019, 2.66558529381, 191.44826611160],
[0.020, 3.22150044915, 156547.08861034497],
[0.021, 6.18753985884, 104127.26777059489],
[0.020, 5.52295053123, 130363.24963659538],
[0.021, 3.90684382108, 51534.39272140940],
[0.020, 3.10019509540, 838.96928775040],
[0.025, 5.79466888187, 26098.94884183810],
[0.021, 6.23594952039, 103814.80805420138],
[0.019, 5.79715725254, 26279.35140768579],
[0.022, 0.71256272418, 959.12285995760],
[0.021, 1.39589766697, 103395.32341032618],
[0.018, 1.52837590084, 107.30530692960],
[0.019, 0.60262102760, 27566.76971563859],
[0.025, 0.78252166479, 53814.87580033639],
[0.025, 2.29282750485, 77520.71936418998],
[0.018, 2.11606037402, 26.29831979980],
[0.024, 1.60264230919, 208173.53416749899],
[0.021, 6.27983567062, 54344.56676543099],
[0.018, 2.13288203799, 77314.53381575279],
[0.019, 5.02228884604, 26114.20146137400],
[0.020, 5.52520867267, 9591.54174537180],
[0.017, 4.12183264175, 24602.61243487099],
[0.022, 0.51026067819, 95.97922721780],
[0.017, 4.48889832500, 208276.62694171758],
[0.017, 3.94937058994, 25459.05155552409],
[0.017, 5.29323037427, 76137.83201734339],
[0.019, 3.67294881327, 6885.14988993081],
[0.018, 1.02433476262, 53399.62412392700],
[0.020, 2.79332004367, 25927.49577218939],
[0.018, 5.83348216244, 293.41078437720],
[0.024, 3.00078431660, 23446.56186310200],
[0.020, 1.11172116756, 156507.74908854539],
[0.017, 0.56645607004, 104984.39630560997],
[0.020, 4.48412602835, 52755.49387014719],
[0.019, 5.18601674976, 2544.67263689240],
[0.023, 4.19936868759, 24952.22626968100],
[0.017, 2.06473217893, 130005.80396999417],
[0.019, 0.55214472899, 52396.21892558720],
[0.019, 1.79653943961, 89.48574784600],
[0.022, 3.72989530019, 48997.66049258080],
[0.020, 5.93006048006, 11852.35506339900],
[0.018, 6.24870732707, 233681.74972207437],
[0.021, 3.01566725550, 25907.82601128960],
[0.016, 1.73390726659, 52911.68279668019],
[0.017, 3.23716624064, 117893.03376878797],
[0.022, 0.46092942812, 19367.18916223280],
[0.016, 5.06429474773, 43981.53094993980],
[0.021, 1.13950009268, 25650.25925043430],
[0.019, 3.19311280972, 47803.92991637420],
[0.021, 4.64218889935, 112545.88789950538],
[0.017, 2.96216633831, 102975.83876645098],
[0.016, 0.60226326404, 149846.19399604559],
[0.016, 5.86803075725, 127098.90328117118],
[0.018, 1.20391834667, 87367.61641884019],
[0.016, 4.53670173929, 2667.05233364140],
[0.017, 5.77652308057, 51130.65144696079],
[0.018, 5.87706432040, 78057.52387628538],
[0.019, 5.24206436649, 60370.08161635699],
[0.016, 1.31713012946, 78843.39701172139],
[0.019, 5.33584429695, 104454.70534051539],
[0.015, 4.52789928708, 25984.12095299360],
[0.016, 4.12162585450, 189386.03259226496],
[0.017, 3.51115348265, 45455.09230380700],
[0.015, 1.65943772958, 51596.11869614960],
[0.015, 4.28577331083, 117.31986822020],
[0.016, 0.28814169191, 78469.89497315978],
[0.015, 0.64079475058, 53093.73656913019],
[0.020, 5.58915267196, 1423.56473196300],
[0.015, 6.19871258212, 156740.71794488319],
[0.015, 2.05066243688, 16342.58258571760],
[0.018, 0.93517825293, 104344.98400739678],
[0.015, 4.64013294295, 2974.60995461100],
[0.015, 2.61010767947, 7830.09253143480],
[0.015, 2.60585262136, 151.04766984290],
[0.018, 0.92309429794, 1577.34354244780],
[0.017, 1.36952124854, 78115.63070029629],
[0.018, 1.95659679786, 102872.74599223239],
[0.017, 5.37350443158, 25384.26995695679],
[0.015, 2.12952532360, 128106.31931499895],
[0.018, 4.06290374391, 51439.92976961659],
[0.015, 4.32808623679, 77741.13200662879],
[0.014, 3.46389680879, 104426.39416486409],
[0.020, 5.15870331048, 154408.65498906677],
[0.014, 4.53089771582, 57503.28239153120],
[0.016, 3.64720066701, 24072.23205541439],
[0.015, 2.96793644807, 24719.24288872919],
[0.014, 0.79165737765, 25928.60140678200],
[0.014, 4.36570321274, 78249.48233072099],
[0.014, 5.35774038541, 896.07945665540],
[0.014, 5.57146329055, 104248.51979207818],
[0.014, 6.22061869408, 104874.18998439058],
[0.015, 0.66056760946, 77622.29586298359],
[0.017, 4.39404084250, 162810.49469943656],
[0.017, 4.01700926317, 51876.67988887919],
[0.014, 5.96074966457, 4371.87636677420],
[0.014, 5.51412243126, 48713.56157728320],
[0.014, 5.04161806976, 53029.00266490040],
[0.014, 3.09979574700, 128747.35003836859],
[0.019, 4.61702547610, 16028.39640584800],
[0.017, 2.09526572835, 52277.76880141400],
[0.014, 1.51516908270, 52164.76058288449],
[0.014, 2.76589411039, 26734.91397488900],
[0.017, 5.31477308011, 103608.62250576419],
[0.013, 6.04881581356, 52812.80255517260],
[0.015, 0.92065367569, 256327.07791868312],
[0.016, 2.76936523753, 46046.50924364180],
[0.019, 4.91561037107, 277.03499374140],
[0.015, 1.87874008695, 26161.20026743319],
[0.013, 1.48593089360, 54824.26110862140],
[0.015, 1.37228117638, 18043.37807764579],
[0.018, 2.95472168569, 76152.05911134499],
[0.017, 1.57020520015, 104241.40624507738],
[0.018, 2.97721991956, 187167.27548807819],
[0.013, 3.49902133309, 78397.81847430758],
[0.018, 2.18386661425, 149288.74325784517],
[0.017, 5.38851170070, 52041.69723356339],
[0.013, 6.26956660770, 90989.16285949759],
[0.013, 1.13674691740, 237009.88537835455],
[0.014, 2.18322393546, 225687.22128005017],
[0.013, 6.15204536524, 35211.47989659159],
[0.017, 1.32178768936, 106262.81204951399],
[0.014, 1.73651187343, 2912.88397987080],
[0.013, 0.84907711504, 102343.05502713779],
[0.013, 2.39970220380, 155460.92337225520],
[0.017, 4.15374414668, 26014.60601571519],
[0.013, 0.72484082297, 153878.96402397219],
[0.013, 3.04907288197, 80432.46990700519],
[0.013, 1.37316946035, 104035.22069664019],
[0.015, 3.12808384217, 173.44857138459],
[0.013, 2.93774353095, 533.62311835770],
[0.013, 2.24535401962, 246113.79237247215],
[0.016, 0.39665846969, 78112.66175487968],
[0.015, 4.75053341616, 130020.03106399579],
[0.016, 0.76587038276, 557.45073820040],
[0.015, 6.01045796437, 51112.49219969609],
[0.015, 0.93774708323, 461.33643145440],
[0.012, 4.03988032603, 77956.15180375299],
[0.015, 1.43833460468, 169093.57054942797],
[0.014, 2.14749108820, 78129.60037513758],
[0.012, 4.57098987537, 6751.04084034580],
[0.017, 0.64086933600, 5131.64108405760],
[0.013, 5.02936180992, 144916.86689107097],
[0.016, 3.65387335184, 104028.10714963939],
[0.013, 3.37789792164, 79212.88503369238],
[0.013, 1.38408689559, 4885.80943782820],
[0.012, 4.95862705668, 50536.73676596039],
[0.014, 2.05563043425, 107692.22499299659],
[0.012, 3.93772391530, 104668.00443595338],
[0.014, 3.26407683636, 104401.60918820098],
[0.014, 2.94492731309, 51120.35650622229],
[0.013, 5.30554859990, 155475.15046625677],
[0.014, 5.14050840336, 726.48201987020],
[0.012, 2.41433841278, 24551.92639860479],
[0.013, 3.02673254226, 182828.62108645737],
[0.012, 2.94598982599, 5039.58824831300],
[0.013, 3.57478000552, 78484.12206716138],
[0.013, 2.94343799803, 79315.97780791098],
[0.012, 5.17024351037, 103402.43695732698],
[0.012, 3.19152649116, 28309.75977617119],
[0.012, 6.16852058989, 78413.27262185719],
[0.013, 4.35939831008, 133767.65136415116],
[0.013, 5.96217383792, 2538.24850425360],
[0.012, 2.97455363125, 26290.15653674829],
[0.012, 1.94777069809, 156377.85565231059],
[0.012, 1.81926611664, 70069.43409151399],
[0.013, 1.24212367708, 4437.51420837359],
[0.012, 0.53775842570, 106470.37642667518],
[0.012, 4.06029507610, 79487.52726550119],
[0.012, 1.39982040688, 77417.62658997139],
[0.012, 5.70094378358, 79330.20490191258],
[0.012, 2.36617272843, 79994.83177765518],
[0.012, 4.77094162628, 78999.58593825439],
[0.012, 5.23189289937, 26411.40855823160],
[0.014, 2.99800402366, 1073.60902419080],
[0.012, 6.15146193785, 103704.60173298199],
[0.012, 1.58617824624, 78571.26704569219],
[0.013, 0.37894193721, 53124.98189211819],
[0.012, 3.86549077079, 189853.99758261937],
[0.013, 4.70785515154, 234261.43730907317],
[0.012, 4.54097648940, 56259.79478985279],
[0.012, 1.32257018476, 149756.70824819960],
[0.011, 5.69779744921, 222224.97657418498],
[0.012, 0.60900120711, 2751.54759969160],
[0.011, 0.79876219873, 78225.57638908479],
[0.013, 2.57664086838, 1116.49209909420],
[0.012, 0.86411055123, 78043.29678228378],
[0.011, 4.02869363295, 263097.78851992876],
[0.011, 3.97587600566, 76998.14194609619],
[0.011, 5.29433199334, 52797.55008398759],
[0.013, 5.69550284497, 51688.17153189420],
[0.015, 3.91946731118, 27665.24668402200],
[0.013, 4.89334198524, 45424.76544280259],
[0.012, 2.33066141026, 130336.42293365239],
[0.012, 2.97893637259, 25885.64974640009],
[0.012, 0.33532325982, 41494.55574658299],
[0.011, 1.81390783997, 104301.61594439259],
[0.011, 3.67540306066, 79181.63971070439],
[0.013, 1.92207364074, 2962.88060177500],
[0.012, 4.51335455691, 54190.78795494619],
[0.012, 5.89140397220, 156954.01704032117],
[0.012, 5.80412470555, 72134.41238521598],
[0.011, 2.54446138738, 26183.88236879199],
[0.011, 0.57810940674, 142871.55835826878],
[0.014, 1.49797486148, 103883.64757594238],
[0.011, 0.25563634033, 52663.44103440259],
[0.011, 4.34226157432, 63786.35824152260],
[0.011, 5.79546155779, 76358.24465978218],
[0.011, 5.43581617959, 4398.17468657401],
[0.010, 3.45435285202, 26830.89320210680],
[0.010, 1.05961891051, 216897.50046580215],
[0.010, 5.54078372768, 53867.97195265079],
[0.013, 4.09291929409, 78378.14871340781],
[0.012, 6.09214378282, 156523.53751408719],
[0.012, 2.30793560033, 192828.60753723036],
[0.011, 5.49984194986, 130593.29451835579],
[0.010, 5.02934387609, 63.73589830340],
[0.010, 2.56161075764, 3178.14579056760],
[0.010, 4.51229030686, 80912.16425019559],
[0.010, 3.26964460988, 143980.93691036216],
[0.014, 0.09133406732, 138.51749687070],
[0.014, 4.26704901561, 52171.87412988529],
[0.010, 2.12874423735, 181563.05360783098],
[0.010, 2.68594312022, 53551.58008299420],
[0.010, 5.01052160566, 53311.48315504160],
[0.013, 2.21304135803, 287.88786006980],
[0.010, 5.99285759925, 129063.74190802519],
[0.010, 0.23580667035, 159969.99379441058],
[0.014, 4.15846442712, 52190.03337714999],
[0.014, 2.17544501087, 2506.64496425660],
[0.010, 2.39055885342, 78262.22495201428],
[0.010, 5.33589950489, 128843.32926558638],
[0.010, 3.69795961564, 175934.09713761977],
[0.010, 5.50982370855, 181548.82651382938],
[0.012, 0.91293309387, 53258.88651544199],
[0.010, 0.21546965297, 155674.22246769318],
[0.010, 5.05408550952, 182465.75879388480],
[0.011, 1.47055363263, 76991.02839909539],
[0.014, 1.74381856487, 36.64856292950],
[0.014, 1.73080789777, 171292.65789271498],
[0.010, 1.79047706298, 235746.72801577637],
[0.012, 2.86918517100, 2045.30853280220],
[0.013, 5.94639118711, 168959.46149984296],
[0.010, 5.24213703651, 130285.73689738619],
[0.014, 6.10459624713, 454.90936652730],
[0.010, 5.39397583397, 77.75054398390],
[0.011, 1.99827759086, 1088.60315660100],
[0.010, 1.76064600598, 52489.99246301800],
[0.010, 5.11611480967, 113455.51956041438],
[0.014, 4.11983704037, 54060.70744656579],
[0.012, 2.84049561669, 183041.92018189540],
[0.012, 3.18297085790, 228508.05242417639],
[0.010, 1.62042818189, 231348.55332920235],
[0.010, 2.38308200520, 181975.42470470539],
[0.010, 5.17901157458, 203375.74902421076],
[0.010, 1.70609651468, 78597.56536549199],
[0.010, 3.01880618190, 104501.17576343138],
[0.011, 1.42631059185, 58220.03486452380],
[0.010, 3.45269160846, 99979.73619952259],
[0.011, 4.42716378223, 235320.81923926238],
[0.010, 4.45423293249, 5469.88378304060],
[0.009, 4.68983089958, 80462.79676800959],
[0.009, 1.77635894319, 50290.90511973100],
[0.010, 1.41464391522, 48091.81777644400],
[0.011, 5.93477819724, 158116.49174472899],
[0.010, 2.55614008171, 105418.10804348679],
[0.009, 3.11835021508, 52206.13314415280],
[0.009, 2.24380470375, 299.12639426920],
[0.009, 3.22171579815, 51006.21803173979],
[0.009, 3.24808968579, 78697.42116259939],
[0.011, 0.73383746517, 17605.73994829580],
[0.010, 2.45523846147, 233835.52853255917],
[0.009, 4.35363918141, 190809.59732422797],
[0.009, 2.77090630961, 76094.94894243999],
[0.012, 0.23038883503, 130907.48069822539],
[0.009, 5.05551915235, 70383.62027138360],
[0.009, 5.11051597902, 156093.70711156839],
[0.011, 5.44617170556, 56777.75640211140],
[0.009, 4.67339642631, 104771.09721017198],
[0.009, 4.56456351898, 259819.64948555277],
[0.009, 0.73352390338, 75085.56363415498],
[0.010, 2.64743106367, 153186.80642274540],
[0.010, 5.18315351919, 1382.19793248460],
[0.012, 4.75714453262, 250665.74586953095],
[0.011, 5.79093643324, 292628.26660646836],
[0.009, 6.24971585432, 202420.14928260216],
[0.012, 5.83966176266, 11790.62908865880],
[0.011, 2.84614041718, 184204.39488630317],
[0.010, 3.41187941424, 1905.46476494040],
[0.010, 3.00240265080, 118828.96374949679],
[0.009, 3.90754065548, 154308.66174525840],
[0.010, 0.88848120961, 51315.49635439559],
[0.011, 4.49431301230, 156531.30018480320],
[0.009, 0.37279337773, 182622.43553802016],
[0.009, 5.94479236467, 38634.38508065720],
[0.009, 0.28434529807, 5019.91848741320],
[0.011, 5.30507160437, 51257.87599716660],
[0.009, 5.05598171209, 62197.64356324779],
[0.009, 2.00743011270, 154194.22245657316],
[0.010, 2.29548861266, 1211.34107035900],
[0.009, 1.40840962373, 78149.27013603736],
[0.011, 2.69818187519, 195047.36464141717],
[0.009, 3.77338110020, 52073.84376488279],
[0.010, 4.16632261841, 1130.15394758580],
[0.009, 4.71851534374, 257436.45647077652],
[0.009, 1.56697202296, 156107.93420556997],
[0.010, 3.84491070936, 42790.96527507320],
[0.010, 0.84911221571, 61921.12683900499],
[0.011, 3.43504498990, 81725.95413058778],
[0.008, 3.46841587447, 156534.53239644598],
[0.009, 3.07023951195, 78265.19389743089],
[0.011, 5.33240591310, 49424.25868345679],
[0.009, 3.80703237983, 184834.07909520617],
[0.010, 5.24984657637, 860.30992875280],
[0.008, 2.32846981012, 156451.15277816958],
[0.009, 5.86810139691, 221135.26778299137],
[0.009, 0.07267483428, 54879.42243782400],
[0.009, 3.53847001127, 1169.58825140860],
[0.008, 0.40730399000, 5852.78031526380],
[0.010, 5.08938165465, 53661.09698985160],
[0.009, 0.09227292796, 285857.55600522272],
[0.009, 1.53921610006, 171004.77003264520],
[0.010, 6.02369999880, 105403.88094948517],
[0.009, 1.41005383919, 215473.93573383917],
[0.008, 2.95064025568, 182611.44065566137],
[0.011, 0.82592745776, 52098.05573916449],
[0.011, 1.89268014069, 53265.51507434200],
[0.009, 0.91534494504, 130446.14426677099],
[0.011, 5.68651428373, 97466.46267636596],
[0.008, 6.09336539202, 65538.25598994759],
[0.010, 4.71864870979, 1865.23140251760],
[0.011, 0.33942008091, 2352.86615377180],
[0.010, 0.58149039679, 51554.06248230919],
[0.009, 4.63908561414, 130329.30938665158],
[0.008, 3.29340479484, 76532.58707178998],
[0.008, 0.39996086139, 31722.93687092660],
[0.009, 2.07892055945, 84307.93800609799],
[0.008, 0.10251061291, 130489.51232977519],
[0.009, 4.86488540298, 197380.56103428919],
[0.008, 2.84319355109, 247223.17092456558],
[0.009, 5.40644601602, 205260.65018762814],
[0.008, 2.99554948925, 28199.55345495179],
[0.008, 2.31903661034, 50951.98844236979],
[0.009, 3.67243760379, 132558.27956824939],
[0.010, 3.84482406254, 199.07200143640],
[0.008, 5.13311255182, 133780.12813457078],
[0.008, 4.50659262629, 31775.53351052620],
[0.010, 3.05711078565, 12098.18670962840],
[0.009, 5.43609233651, 65851.33653522459],
[0.008, 3.16471275120, 53438.96364572659],
[0.008, 5.49628419906, 208063.32784627957],
[0.009, 0.80806156177, 84944.93427812219],
[0.008, 1.45936166924, 50160.82461135059],
[0.009, 3.83369994945, 79902.77894191058],
[0.008, 5.05169260225, 220025.88923089797],
[0.010, 0.99908522442, 78373.91574594198],
[0.008, 1.78435325528, 4743.40176317040],
[0.009, 2.44642878457, 76468.45098100159],
[0.010, 0.64041079500, 106684.80895916879],
[0.008, 0.22706755866, 130514.29730643828],
[0.008, 4.45568539518, 175844.61138977378],
[0.008, 5.30875425569, 104991.50985261079],
[0.008, 4.26578657244, 78267.64157798568],
[0.010, 3.66900856638, 22595.33157470459],
[0.008, 5.39530906170, 1168.89883704660],
[0.007, 2.97217552646, 130962.09312596478],
[0.008, 5.41659156640, 106082.73491922939],
[0.007, 6.14449914187, 154835.25317994278],
[0.009, 3.77109166248, 76777.72930365738],
[0.010, 2.68699198523, 31903.01400121119],
[0.010, 4.11325286170, 51861.62010327879],
[0.010, 6.22285311837, 52213.93931878620],
[0.008, 4.05691998652, 130432.88714897096],
[0.008, 5.44182392744, 24844.41553989579],
[0.008, 5.31551782104, 26247.20487636640],
[0.007, 3.34982243781, 53771.99272543299],
[0.007, 0.76435484795, 103829.03514820298],
[0.009, 0.48166296597, 4571.62325795859],
[0.010, 2.53857628850, 23735.03698780239],
[0.009, 3.06932982640, 51102.19725895759],
[0.009, 0.81667861584, 180396.56488683258],
[0.008, 1.37381137878, 182619.20332637738],
[0.010, 4.53462580754, 195181.47369100217],
[0.007, 5.92229713446, 102129.75593169978],
[0.009, 1.70197819412, 114.39910691340],
[0.009, 2.75554865259, 52145.47942214399],
[0.007, 5.03002929900, 78905.12298646157],
[0.008, 4.70162992466, 77684.02183772379],
[0.007, 2.16016333042, 252884.50297371778],
[0.007, 4.70104811610, 197092.67317421938],
[0.008, 3.34882273958, 92.05283574460],
[0.007, 4.64287583099, 104659.17018726638],
[0.007, 1.74834665027, 79116.90580647459],
[0.007, 1.40803395997, 78149.31031780918],
[0.007, 5.96603423152, 1685.05212250160],
[0.008, 5.74025115791, 27441.65188659100],
[0.007, 3.32172728837, 186057.89693598478],
[0.007, 5.77399157694, 52822.81711646319],
[0.009, 5.40969007280, 25970.58327335399],
[0.007, 5.03097379670, 51092.72605085480],
[0.008, 4.85500497006, 79353.41821591619],
[0.009, 2.91790460578, 128857.55635958798],
[0.010, 2.62831495455, 104145.42701785959],
[0.008, 3.65717048924, 50476.52706664519],
[0.010, 4.97375703081, 128960.64913380658],
[0.007, 0.63731291763, 132350.71519108818],
[0.007, 3.70718359263, 61165.27398858079],
[0.007, 1.52409890800, 224577.84272795677],
[0.007, 5.83295581556, 78339.97549599818],
[0.007, 1.28982657880, 127791.06088239799],
[0.007, 4.38077281912, 87648.55043279778],
[0.007, 0.78772735446, 104044.05494532720],
[0.007, 5.55018242223, 148532.89040742096],
[0.008, 3.94353800260, 77929.85348395319],
[0.007, 4.68484570125, 129971.55071751658],
[0.007, 5.46082675395, 76352.50994150538],
[0.007, 0.89727780818, 28213.78054895339],
[0.006, 2.25546242417, 79955.87509422498],
[0.007, 1.85784871452, 28096.46068073319],
[0.006, 6.22318977780, 261988.40996783535],
[0.006, 3.92166942434, 182402.02289558138],
[0.006, 4.54553590954, 26235.98186600050],
[0.006, 0.04385251847, 182634.99175191918],
[0.006, 3.27000773736, 104557.79811473397],
[0.006, 1.48316940910, 26191.68533015479],
[0.006, 1.42098831764, 26026.17716683400],
[0.006, 4.63624566094, 57369.17334194619],
[0.006, 2.24614788518, 131079.41299418497],
[0.008, 1.46359871781, 74935.57376844239],
[0.007, 0.19039890992, 117077.06600107178],
[0.006, 2.30839350284, 27353.47062020059],
[0.008, 4.05701479596, 60170.33472517260],
[0.006, 2.25676540184, 118007.47305747319],
[0.007, 5.19369769843, 91919.56991589899],
[0.006, 2.17221286567, 27573.88326263939],
[0.006, 3.04358438526, 83591.18553310538],
[0.006, 5.50261387027, 26238.95081141709],
[0.006, 5.55141392261, 207747.62539098499],
[0.007, 3.67760971466, 229129.79622501557],
[0.006, 5.14998820697, 130364.73410930368],
[0.006, 2.59291082745, 52186.85198341230],
[0.006, 3.70620257597, 182608.20844401856],
[0.007, 5.89987227798, 53757.76563143139],
[0.007, 1.17954845926, 209232.91609768817],
[0.007, 1.99199973963, 88285.54670482199],
[0.006, 5.29985761538, 175376.64639941938],
[0.007, 1.76338847974, 55484.27217852879],
[0.008, 0.55724966367, 129806.73196855778],
[0.005, 4.19687137282, 111032.83741969639],
[0.006, 1.86021237763, 96471.52341295779],
[0.006, 1.44535366888, 20043.67456019880],
[0.006, 1.48244229587, 260349.34045064732],
[0.006, 1.00031747475, 51538.81001112419],
[0.005, 0.08842088266, 79859.89586700719],
[0.006, 2.17116807817, 156373.64003896038],
[0.007, 2.57540094308, 77218.55458853499],
[0.006, 4.66124811472, 65717.22748563958],
[0.005, 5.69376389474, 52400.15107885030],
[0.006, 2.47972848111, 266540.36346489412],
[0.005, 4.47086994598, 27360.58416720139],
[0.005, 3.20880924837, 259769.65286364855],
[0.005, 3.98361684334, 54862.52837768960],
[0.007, 2.86077141334, 179172.74704605396],
[0.005, 2.46087822928, 156681.19765992998],
[0.007, 5.00361119157, 209762.60706278277],
[0.005, 5.35670104895, 26513.81191808820],
[0.006, 3.62607025643, 27883.16158529519],
[0.005, 0.80991017339, 25661.99436506020],
[0.006, 0.20069428083, 50490.75416064679],
[0.005, 3.77056538505, 164407.50800278416],
[0.005, 2.71005052987, 104427.87863757239],
[0.006, 0.84754795471, 104466.05185498200],
[0.005, 2.69389382491, 180496.55813064100],
[0.005, 4.04820376371, 129277.04100346318],
[0.006, 0.57829057010, 50600.96048186620],
[0.006, 4.21216601811, 182595.65223011957],
[0.005, 3.59670550074, 131072.29944718417],
[0.005, 0.08842684725, 27993.36790651460],
[0.006, 0.00392034365, 73891.83305794839],
[0.006, 4.68979746906, 26149.62911631439],
[0.005, 4.61789756581, 20894.53608277640],
[0.005, 3.57093232780, 53654.67285721279],
[0.005, 0.36682731238, 146505.58156934578],
[0.005, 1.40545824640, 233202.05537888399],
[0.006, 2.35439456378, 139543.42270198860],
[0.004, 1.28935961583, 234364.53008329176],
[0.004, 1.10749672173, 51086.09749195479],
[0.005, 3.64294402198, 27331.39074325260],
[0.004, 0.00216060134, 213255.17862965239],
[0.004, 4.40507427126, 129483.22655190038],
[0.004, 2.18529936793, 23384.28698689860],
[0.005, 0.93391333656, 52102.50915728939],
[0.004, 2.33941435272, 23389.45169419700],
[0.004, 3.59370682931, 46564.47085590040],
[0.004, 2.90835831307, 61299.38303816579],
[0.004, 6.27884818175, 170068.84005193636],
[0.004, 4.90170477242, 104888.41707839219],
[0.004, 4.56426377076, 46131.57770177300],
[0.005, 2.12658067178, 130542.60848208958],
[0.005, 2.50519016528, 79845.66877300559],
[0.004, 6.24881318031, 18073.70493865020],
[0.004, 1.10868110225, 52072.02409456780],
[0.004, 6.14515791357, 34102.10134449819],
[0.004, 2.94097893970, 129902.71119577558],
[0.004, 2.91542426579, 130215.17091216908],
[0.005, 2.20146513310, 82865.65954368559],
[0.005, 4.46570663623, 104237.17327761157],
[0.004, 5.13334797430, 26387.02953584340],
[0.004, 5.34965278511, 24787.07632336920],
[0.004, 4.17772291197, 53132.09543911899],
[0.004, 2.66996288682, 25572.43927048119],
[0.005, 1.14175711692, 188898.39784101077],
],
# L1
[
[2608814706222.746, 0.00000000000, 0.00000000000],
[1126007.832, 6.21703970996, 26087.90314157420],
[303471.395, 3.05565472363, 52175.80628314840],
[80538.452, 6.10454743366, 78263.70942472259],
[21245.035, 2.83531934452, 104351.61256629678],
[5592.094, 5.82675673328, 130439.51570787099],
[1472.233, 2.51845458395, 156527.41884944518],
[352.244, 3.05238094403, 1109.37855209340],
[388.318, 5.48039225891, 182615.32199101939],
[93.540, 6.11791163931, 27197.28169366760],
[90.579, 0.00045481669, 24978.52458948080],
[102.743, 2.14879173777, 208703.22513259359],
[51.941, 5.62107554052, 5661.33204915220],
[44.370, 4.57348500464, 25028.52121138500],
[28.070, 3.04195430989, 51066.42773105500],
[22.003, 0.86475371243, 955.59974160860],
[27.295, 5.09210138837, 234791.12827416777],
[20.425, 3.71509622702, 20426.57109242200],
[20.221, 0.51934047295, 21535.94964451540],
[17.496, 5.72663608620, 4551.95349705880],
[16.680, 1.35134428173, 529.69096509460],
[15.306, 1.79184360652, 11322.66409830440],
[15.398, 5.74263453989, 19.66976089979],
[13.964, 3.59426938083, 24498.83024629040],
[12.822, 2.69591798562, 53285.18483524180],
[12.621, 3.89530641889, 3.88133535800],
[12.566, 4.70537436663, 1059.38193018920],
[7.974, 4.17682324505, 26617.59410666880],
[7.929, 0.50426804318, 46514.47423399620],
[8.024, 3.92723313702, 27043.50288318280],
[7.665, 2.48158305355, 57837.13833230060],
[8.639, 6.06360282793, 77154.33087262919],
[6.838, 2.77387065312, 7.11354700080],
[6.554, 5.53478998989, 6770.71060124560],
[5.846, 4.28139659800, 16983.99614745660],
[7.285, 1.74581868954, 260879.03141574195],
[7.179, 2.97766079692, 2218.75710418680],
[6.364, 2.13805619380, 25132.30339996560],
[5.883, 2.19545230409, 13521.75144159140],
[4.969, 2.47752134180, 30639.85663863300],
[4.578, 1.55845855383, 27147.28507176339],
[4.857, 4.84757952324, 37410.56723987860],
[5.022, 3.94124675992, 25661.30495069820],
[4.381, 4.94471456712, 213.29909543800],
[4.211, 5.53886788148, 83925.04147387479],
[4.299, 5.09070560802, 10213.28554621100],
[4.593, 0.81920676333, 25558.21217647960],
[3.571, 2.34341884629, 32858.61374281979],
[4.454, 5.79159156180, 3442.57494496540],
[3.547, 3.59413896239, 26068.23338067440],
[3.664, 1.39952931281, 77204.32749453338],
[3.417, 0.49855041138, 22645.32819660879],
[3.195, 1.25743024246, 14765.23904326980],
[3.031, 4.45207030477, 7238.67559160000],
[3.284, 5.22996707635, 25448.00585526019],
[2.974, 0.14234349726, 50586.73338786459],
[2.855, 0.67083991526, 26091.78447693220],
[2.773, 3.54351198199, 72602.37737557039],
[3.132, 6.21365344759, 26080.78959457339],
[2.732, 5.64171761904, 1589.07289528380],
[2.652, 0.88219699366, 52705.49724824299],
[3.125, 6.07160751766, 28306.66024576099],
[2.799, 2.51152391376, 26107.57290247399],
[2.403, 1.15515130360, 25035.63475838580],
[2.274, 1.85167073193, 36301.18868778519],
[2.501, 4.34723465048, 41962.52073693740],
[2.321, 5.44262378304, 26084.02180621620],
[2.535, 5.80101392346, 26095.01668857500],
[2.872, 1.63503968499, 25021.40766438420],
[2.066, 1.07231845630, 43071.89928903080],
[2.616, 2.78322243283, 103242.23401420339],
[1.987, 2.95923214706, 23969.13928119580],
[1.979, 4.44092591248, 103292.23063610759],
[1.974, 0.83681704901, 12566.15169998280],
[1.700, 2.28603732736, 110012.94461544899],
[1.677, 4.63366122462, 53235.18821333759],
[1.954, 4.67733727976, 286966.93455731618],
[1.653, 1.25518276011, 33326.57873317420],
[1.785, 1.80830270808, 26301.20223701220],
[1.784, 5.17926273269, 426.59819087600],
[2.143, 5.16312278245, 51220.20654153979],
[1.597, 5.53494401703, 56727.75978020720],
[1.590, 0.07660134798, 23869.14603738740],
[1.574, 3.75870586370, 73711.75592766379],
[1.362, 1.13830507985, 68050.42387851159],
[1.358, 1.45317020242, 51646.11531805379],
[1.586, 4.65681044624, 79373.08797681599],
[1.347, 3.80254397382, 19317.19254032860],
[1.242, 3.79389911401, 25874.60404613620],
[1.124, 1.28920904043, 31749.23519072640],
[1.065, 4.31416942177, 40853.14218484400],
[1.014, 3.58126441973, 48733.23133818299],
[1.259, 1.73130656223, 12432.04265039780],
[0.989, 0.33276224293, 52156.13652224860],
[1.057, 4.35251408825, 77734.01845962799],
[1.033, 3.72503880786, 6283.07584999140],
[0.894, 0.29768279333, 105460.99111839019],
[0.910, 0.49823258962, 99799.65906923798],
[0.999, 5.29812267938, 65697.55772473979],
[1.138, 2.56391312022, 29530.47808653960],
[0.876, 4.91112286703, 62389.09182935939],
[0.912, 0.27449857787, 98690.28051714458],
[0.879, 4.78847722011, 18849.22754997420],
[0.869, 3.87957425954, 78793.40038981718],
[0.831, 2.35459129726, 27676.97603685800],
[0.791, 1.17444825871, 129380.13377768178],
[0.782, 3.92653768734, 38654.05484155699],
[0.782, 3.69412482234, 52179.68761850640],
[0.745, 2.09648894863, 51535.90899683439],
[0.736, 6.05470921559, 114.43928868521],
[0.733, 3.23019978320, 47623.85278608960],
[0.698, 2.99026308247, 52168.69273614759],
[0.780, 5.77004504059, 129330.13715577759],
[0.752, 4.22525357653, 51123.53789995999],
[0.752, 4.70099207936, 51109.31080595839],
[0.651, 5.87383050095, 2333.19639287200],
[0.699, 4.82823185979, 38519.94579197200],
[0.656, 3.65375726729, 25668.41849769900],
[0.660, 1.98037689941, 26514.50133245020],
[0.808, 6.27898737551, 53131.40602475700],
[0.753, 5.64446551994, 45892.73043315699],
[0.610, 1.21194007471, 153.77881048480],
[0.604, 5.29267380518, 136100.84775702318],
[0.811, 4.22885181263, 25654.19140369739],
[0.697, 1.89331617498, 77308.10968311399],
[0.581, 2.61707271637, 76674.63652943878],
[0.549, 4.18661776549, 94138.32702008578],
[0.567, 6.08785859254, 25234.70675982219],
[0.549, 2.08003708209, 91785.46086631398],
[0.563, 1.38660458000, 79323.09135491178],
[0.527, 5.83448542494, 50057.04242277000],
[0.524, 2.45745967369, 467.96499035440],
[0.570, 3.10425513710, 15874.61759536320],
[0.699, 2.57322536922, 52182.91983014920],
[0.501, 0.39578180187, 32370.97899156560],
[0.542, 2.77109053528, 54394.56338733519],
[0.525, 1.31791713133, 313054.83769889036],
[0.513, 2.28640740711, 82815.66292178139],
[0.579, 5.45103833735, 52195.47604404819],
[0.617, 4.18395572588, 639.89728631400],
[0.449, 3.10044122691, 49957.04917896160],
[0.495, 2.11807671869, 52171.92494779040],
[0.431, 3.06714836720, 131548.89425996438],
[0.427, 5.35367311100, 49.99662190420],
[0.470, 1.46585019834, 1066.49547719000],
[0.470, 1.07485595760, 103821.92160120218],
[0.415, 2.50109134151, 71980.63357473118],
[0.395, 5.24320159822, 58946.51688439399],
[0.408, 0.92030240581, 77837.11123384659],
[0.523, 4.92390082310, 52389.10537858640],
[0.377, 3.50882025297, 125887.56221081219],
[0.508, 1.03838633466, 24491.71669928959],
[0.418, 0.36439379673, 51962.50718771040],
[0.400, 3.51557589073, 20760.42703319140],
[0.359, 0.03091967859, 2118.76386037840],
[0.356, 2.03727281128, 1052.26838318840],
[0.423, 4.21437546240, 18093.37469954999],
[0.340, 1.64349471632, 79219.30916633119],
[0.336, 1.55276786593, 24505.94379329119],
[0.348, 1.06528227311, 66941.04532641819],
[0.327, 5.45093694594, 7880.08915333899],
[0.303, 1.67537340603, 88476.99497093359],
[0.323, 5.59204872298, 55618.38122811380],
[0.281, 0.83478570176, 63498.47038145279],
[0.393, 0.55222046684, 45405.09568190280],
[0.280, 0.69995179262, 64741.95798313119],
[0.381, 2.16540447546, 522.57741809380],
[0.279, 4.17319236859, 155468.03691925600],
[0.314, 1.52755129973, 44937.13069154840],
[0.280, 3.33549459014, 78244.03966382280],
[0.272, 5.34763989826, 53764.87917843220],
[0.287, 4.98400171694, 25551.09862947879],
[0.288, 3.26773464056, 124778.18365871879],
[0.275, 0.59220058467, 104881.30353139139],
[0.229, 5.07700202235, 52602.40447402440],
[0.265, 1.04033681288, 25938.33994443960],
[0.224, 5.10726819180, 117873.36400788819],
[0.242, 0.44760602599, 23754.70674870219],
[0.214, 3.50460190598, 58458.88213313979],
[0.230, 2.45937674101, 155418.04029735178],
[0.211, 3.92377004339, 103925.01437542078],
[0.282, 3.81265243625, 536.80451209540],
[0.218, 4.88963285925, 103396.01282468818],
[0.200, 5.41573374322, 16066.06586147480],
[0.218, 0.41409439248, 78267.59076008058],
[0.201, 2.38235635877, 23439.44831610119],
[0.203, 2.69458032262, 59414.48187474840],
[0.196, 0.92807787406, 120226.23016165999],
[0.201, 2.00560473829, 162188.75089859738],
[0.183, 3.83128433173, 69159.80243060499],
[0.180, 2.20428238305, 89586.37352302698],
[0.215, 5.35652096610, 206.18554843720],
[0.178, 1.24568538055, 103.09277421860],
[0.196, 0.44564203205, 51756.32163927320],
[0.183, 2.88003872828, 3328.13565628019],
[0.216, 4.48180965712, 26241.68195205900],
[0.215, 2.26752450953, 33967.99229491319],
[0.193, 4.34407767816, 105307.21230790539],
[0.200, 1.01165813281, 51742.09454527159],
[0.170, 5.57003076622, 98068.53671630539],
[0.224, 0.97932137082, 77211.44104153418],
[0.168, 5.96360976147, 157636.79740153858],
[0.178, 1.42319344949, 77197.21394753258],
[0.196, 5.59654497318, 78270.82297172339],
[0.161, 5.51918174079, 26555.86813192860],
[0.197, 4.79975858562, 25455.11940226100],
[0.181, 4.39987679970, 105410.99449648599],
[0.159, 2.63928704121, 28421.09953444620],
[0.158, 0.75224521142, 51116.42435295920],
[0.196, 4.92493608061, 102762.53967101299],
[0.162, 2.82561928047, 26202.34243025941],
[0.194, 1.02167898855, 44181.27784112419],
[0.179, 5.11561177302, 25440.89230825939],
[0.152, 5.21934955501, 77623.81213840858],
[0.150, 5.98491689335, 78256.59587772179],
[0.184, 0.26375114604, 419.48464387520],
[0.144, 2.90657294970, 51322.60990139639],
[0.163, 1.01728531879, 26727.80042788820],
[0.160, 1.39225289207, 26011.63707029860],
[0.145, 5.76503611587, 80482.46652890938],
[0.140, 0.27227514908, 46848.33017476560],
[0.136, 0.22641179921, 151975.46535238638],
[0.142, 4.24343923379, 339142.74084046460],
[0.178, 4.08547287819, 129909.82474277639],
[0.142, 3.31130337074, 78050.41032928458],
[0.131, 0.70125733168, 3340.61242669980],
[0.154, 1.72826405606, 78477.00852016058],
[0.159, 5.29643521725, 108903.56606335558],
[0.129, 3.26743532785, 25973.46385288896],
[0.128, 6.10775258657, 76044.95232053580],
[0.144, 4.06091644657, 50579.61984086379],
[0.164, 6.17696810226, 19406.67828817460],
[0.139, 5.11979950242, 433.71173787680],
[0.153, 1.30046862259, 13655.86049117640],
[0.132, 5.23445066335, 26610.48055966799],
[0.115, 4.61845793770, 50593.84693486539],
[0.121, 2.52027376421, 76144.94556434419],
[0.114, 4.51555533683, 27154.39861876420],
[0.106, 5.18068866237, 85502.38501632259],
[0.110, 3.45757703411, 25565.32572348040],
[0.100, 0.11496600894, 74821.13447975718],
[0.100, 3.95989644984, 26037.90651966999],
[0.100, 3.01535382150, 28206.66700195260],
[0.099, 5.99257260255, 29416.03879785439],
[0.117, 3.56597928882, 71492.99882347698],
[0.131, 5.96070215452, 1223.81784077861],
[0.095, 1.84065750300, 85034.42002596818],
[0.102, 4.69459571654, 114564.89811250778],
[0.097, 0.87353840441, 181555.94006083018],
[0.118, 2.02298794976, 78283.37918562238],
[0.111, 4.07316227960, 93028.94846799239],
[0.090, 5.01726237192, 115674.27666460119],
[0.094, 2.31806507832, 81706.28436968799],
[0.089, 5.94413487088, 25131.61398560359],
[0.095, 3.72299894590, 90829.86112470538],
[0.120, 5.44384753792, 51749.20809227239],
[0.105, 5.01803826552, 78259.82808936459],
[0.086, 1.83551544255, 143961.26714946239],
[0.108, 4.53825443085, 71025.03383312259],
[0.083, 0.64015893446, 130012.91751699499],
[0.099, 0.52218556269, 26624.70765366959],
[0.094, 2.65386396812, 9103.90699411760],
[0.098, 3.31480172250, 853.19638175200],
[0.080, 2.13424472361, 42153.96900304900],
[0.086, 2.05760695844, 79852.78232000639],
[0.084, 0.97023030623, 131395.11544947958],
[0.081, 0.28916970825, 84546.78527471398],
[0.081, 5.18614814481, 220.41264243880],
[0.081, 1.98383157756, 149.56319713460],
[0.082, 0.05817684667, 104331.94280539699],
[0.074, 1.62836007935, 25984.81036735560],
[0.075, 1.84245188133, 78690.30761559859],
[0.087, 3.58634855360, 130969.20667296558],
[0.074, 5.06505616563, 27140.17152476259],
[0.075, 5.47760610876, 134.10904958500],
[0.089, 6.25587801019, 150866.08680029298],
[0.098, 4.71698591369, 12725.45343477500],
[0.069, 5.05822197567, 1911.19948321720],
[0.081, 2.05307563846, 1596.18644228460],
[0.075, 2.05688075943, 26137.89976347840],
[0.069, 3.67576176321, 24609.03656750980],
[0.081, 1.38060133126, 52329.58509363319],
[0.069, 1.60181551296, 129483.91596626239],
[0.067, 5.43668176629, 181505.94343892598],
[0.066, 1.56953438995, 19804.82729158280],
[0.066, 3.92553131581, 146314.13330323418],
[0.062, 3.46967694133, 24925.42843716640],
[0.079, 3.56674606057, 49842.60989027639],
[0.067, 4.76959706409, 25881.71759313700],
[0.061, 2.61995550094, 183724.70054311279],
[0.061, 1.63344766876, 13541.42120249119],
[0.061, 2.31153135385, 124156.43985787958],
[0.058, 3.88678278617, 18207.81398823521],
[0.082, 1.36242531494, 128850.44281258718],
[0.058, 2.98990179150, 110.20632121940],
[0.064, 4.98131448153, 188276.65404017159],
[0.067, 2.32849722473, 26294.08869001139],
[0.057, 3.72454115593, 29428.51556827400],
[0.066, 1.69869503126, 51543.02254383520],
[0.055, 2.30093263701, 52643.77127350280],
[0.069, 1.78774826271, 51639.00177105299],
[0.067, 4.00863968986, 103299.34418310839],
[0.074, 6.14089486388, 14477.35118320000],
[0.054, 5.27646510692, 49527.35145767539],
[0.056, 2.33495620660, 104358.72611329758],
[0.062, 3.41967311766, 104355.49390165479],
[0.050, 1.20854390978, 23976.25282819660],
[0.064, 0.58512976749, 307.55762096960],
[0.062, 3.69245785160, 641.41356173899],
[0.062, 4.47317710621, 636.99627202420],
[0.049, 4.09291926847, 52815.70356946240],
[0.061, 0.78849475911, 155997.72788435058],
[0.047, 2.14659254610, 7994.52844202420],
[0.047, 0.00507866085, 104138.31347085879],
[0.045, 2.28588893693, 25764.39772491679],
[0.051, 2.98348805265, 40565.25432477420],
[0.047, 4.03957254582, 77829.99768684579],
[0.047, 3.21862563103, 178063.36849396059],
[0.045, 4.41401819607, 103285.11708910679],
[0.054, 3.47879330948, 77844.22478084739],
[0.054, 2.83659707386, 6681.22485339960],
[0.056, 1.11360360738, 131498.89763806018],
[0.046, 3.38384624666, 26507.38778544939],
[0.055, 2.68637168389, 25934.12433108940],
[0.046, 4.78696197215, 104564.91166173479],
[0.059, 1.29879100690, 38813.35657634920],
[0.043, 3.86025201636, 10021.83728009940],
[0.044, 1.90320971624, 51528.79544983359],
[0.055, 0.48335079540, 23962.02573419499],
[0.042, 4.11693586607, 26190.99591579279],
[0.044, 1.64247485835, 76.26607127560],
[0.042, 6.21848377968, 26094.53170047421],
[0.041, 2.73996884659, 25867.49049913539],
[0.043, 0.38981425968, 1089.70879119360],
[0.043, 4.89046790101, 24395.73747207180],
[0.041, 0.44351702671, 25619.93815121980],
[0.041, 1.47439583353, 76681.75007643958],
[0.039, 1.71519867865, 111590.28815789679],
[0.041, 5.67594181048, 54509.00267602040],
[0.049, 1.65739950579, 1581.95934828300],
[0.040, 1.85008425708, 27999.10262479140],
[0.038, 3.99668572981, 9384.84100807520],
[0.037, 2.83147987268, 102132.85546210999],
[0.039, 0.84546566819, 365230.64398203877],
[0.037, 4.65200082367, 90695.75207512038],
[0.037, 0.94736176192, 76667.52298243798],
[0.040, 0.16806354899, 22759.76748529401],
[0.049, 2.02480943113, 134991.46920492980],
[0.041, 5.85592543833, 52290.24557183361],
[0.040, 1.21491127400, 64607.84893354619],
[0.041, 3.07842612799, 26081.27458267419],
[0.035, 3.89800430981, 157483.01859105378],
[0.037, 0.29068345666, 97580.90196505119],
[0.035, 4.74965057267, 39629.32434406539],
[0.035, 1.88777425098, 26521.61487945100],
[0.033, 3.60227423859, 156100.82065856917],
[0.035, 1.96114191570, 74.78159856730],
[0.045, 3.72467663437, 39609.65458316560],
[0.038, 4.29218444251, 39743.76363275060],
[0.032, 5.95900501016, 77410.51304297059],
[0.032, 0.64794221724, 2648.45482547300],
[0.039, 5.08510962281, 25863.55834587229],
[0.031, 1.62486752727, 141762.17980617538],
[0.031, 1.25910229689, 53242.30176033840],
[0.031, 2.65918037491, 104344.49901929598],
[0.032, 0.00169740803, 52061.36699446317],
[0.031, 6.12210016938, 25977.69682035479],
[0.030, 5.72239820341, 579.68758699880],
[0.030, 0.70553319870, 52125.80966124419],
[0.039, 1.60801806885, 333.85594076940],
[0.030, 5.28578152795, 102232.84870591838],
[0.029, 0.53270948692, 50696.93970908399],
[0.029, 0.40281274949, 35472.74414964940],
[0.028, 2.96171859812, 100909.03762133139],
[0.034, 1.41428136641, 140652.80125408198],
[0.029, 6.00401578551, 54294.57014352679],
[0.032, 0.45221016093, 116917.76426627958],
[0.028, 5.07088961710, 26237.46633870879],
[0.028, 5.33382835025, 107794.18751126219],
[0.030, 3.86080757411, 207643.84320240439],
[0.028, 4.81897403543, 170049.17029103660],
[0.031, 1.90989851759, 26308.31578401300],
[0.035, 1.26114015069, 97112.93697469679],
[0.028, 2.01146788563, 52698.38370124219],
[0.033, 4.31496976407, 154938.34595416137],
[0.028, 4.46781875730, 78417.48823520739],
[0.033, 0.25034815279, 51653.22886505459],
[0.026, 0.07835049738, 51013.33157874059],
[0.029, 3.32582529322, 110634.68841628819],
[0.027, 6.01993388409, 25227.59321282139],
[0.036, 0.79025288269, 119116.85160956658],
[0.026, 4.68624143375, 632.78373931320],
[0.027, 1.14521834701, 121335.60871375339],
[0.025, 3.42095174931, 956.28915597060],
[0.028, 2.73386270717, 27311.72098235281],
[0.024, 0.82215620694, 314.18617986960],
[0.025, 5.21681600178, 25241.82030682300],
[0.025, 3.57372833543, 52712.61079524379],
[0.027, 5.05183520711, 105940.68546158058],
[0.031, 2.25462520789, 26720.68688088739],
[0.025, 4.86890931082, 104778.21075717278],
[0.023, 3.01659387998, 52182.43484204840],
[0.026, 2.13973174244, 103711.71527998279],
[0.023, 4.60383496965, 52072.71350892979],
[0.023, 4.55605691468, 155571.81910783658],
[0.022, 3.69622699918, 735.87651353180],
[0.023, 2.40544682432, 8194.27533320860],
[0.022, 2.44094101414, 2703.61615467560],
[0.027, 5.29221944987, 26162.68474014150],
[0.022, 4.11517024183, 19202.75325164339],
[0.029, 4.25385019536, 647.01083331480],
[0.021, 2.11851790816, 207593.84658050019],
[0.029, 2.91003553544, 176953.98994186718],
[0.026, 5.68398596586, 95247.70557217918],
[0.021, 5.29289519906, 150244.34299945380],
[0.024, 3.05210539174, 130419.84594697120],
[0.020, 2.54144132983, 51219.51712717779],
[0.020, 6.16401959180, 35191.81013569180],
[0.022, 3.22920342008, 1083.08023229360],
[0.028, 0.30709453091, 157057.10981453978],
[0.023, 1.65280537431, 214364.55718174577],
[0.027, 3.72484040647, 621.74380083920],
[0.023, 2.59065413623, 71582.48457132299],
[0.022, 0.94588004362, 52022.02747266360],
[0.020, 3.84776796820, 5327.47610838280],
[0.024, 4.82779429778, 104371.28232719658],
[0.019, 1.94368317235, 22747.29071487440],
[0.023, 3.19739923216, 6044.22858137540],
[0.020, 0.58967836529, 172402.03644480839],
[0.019, 2.73169091081, 55503.94193942859],
[0.018, 1.63099638721, 48835.19385644859],
[0.022, 1.62646807429, 104347.73123093879],
[0.018, 4.90435895585, 77630.92568540938],
[0.018, 0.59687432455, 183570.92173262799],
[0.024, 5.58828197916, 34282.17847478280],
[0.018, 5.54856348293, 209812.60368468694],
[0.019, 0.53136209334, 55516.41870984820],
[0.020, 0.73777252741, 129387.24732468258],
[0.021, 4.62446809035, 13362.44970679920],
[0.021, 1.94768946886, 487.63475125420],
[0.019, 4.18946427203, 78114.14622758799],
[0.023, 2.43977160852, 24822.33566294780],
[0.017, 2.24086275048, 26222.01219115920],
[0.018, 5.08348808758, 27684.08958385880],
[0.017, 4.31062701282, 50064.15596977079],
[0.017, 0.62713581550, 44295.71712980940],
[0.022, 0.09847423078, 26941.09952332620],
[0.019, 2.09224104001, 86143.79857806159],
[0.016, 0.43713509764, 101.96251826560],
[0.016, 4.27219175799, 24176.70365835700],
[0.018, 5.24040005379, 68241.87214462319],
[0.020, 5.09682447452, 60055.89543648739],
[0.016, 4.08590900542, 147423.51185532758],
[0.018, 2.12913862198, 106570.36967048359],
[0.016, 1.00668387150, 25138.72753260440],
[0.016, 5.76419504418, 14.22709400160],
[0.021, 6.16511987091, 52169.17772424839],
[0.016, 0.82798074394, 96357.08412427259],
[0.016, 3.75399093257, 159.30173479220],
[0.017, 4.95698248546, 52225.80290505260],
[0.017, 6.11461465994, 26198.10946279360],
[0.017, 6.19302565011, 204151.27163553477],
[0.017, 5.34573358099, 78731.67441507700],
[0.016, 1.90468795194, 128320.75184749259],
[0.017, 3.73180335896, 182085.63102592478],
[0.017, 5.86222137701, 32132.13172294960],
[0.019, 1.56034038551, 51969.62073471119],
[0.018, 2.54086242120, 25780.34552060460],
[0.015, 4.29267057949, 1692.16566950240],
[0.016, 1.75865740707, 53228.07466633679],
[0.020, 2.35700883433, 75615.25459924959],
[0.015, 5.29296109539, 130446.62925487179],
[0.014, 0.85174293693, 78903.60671103658],
[0.015, 5.50776870695, 52808.59002246159],
[0.017, 5.96622721781, 32769.12799497380],
[0.014, 5.40589812318, 52381.99183158559],
[0.014, 2.92783624754, 130226.21661243298],
[0.014, 4.73334676783, 26164.16921284980],
[0.018, 4.09540263999, 157586.80077963436],
[0.015, 5.00568645183, 28791.51929624980],
[0.013, 0.88297787282, 24292.64469785319],
[0.018, 0.07544318179, 2199.08734328700],
[0.014, 0.39198838648, 1162.47470440780],
[0.012, 4.87283902225, 64901.25971792339],
[0.013, 4.28417448099, 23866.04650697719],
[0.013, 3.77892895408, 391318.54712361295],
[0.012, 0.90287358387, 104202.04936916218],
[0.012, 1.68139724364, 72936.23331633979],
[0.015, 3.76108194990, 111122.32316754239],
[0.012, 1.82629728829, 22909.75735100660],
[0.013, 1.25451832397, 26724.89941359840],
[0.012, 5.74844907374, 97670.38771289718],
[0.012, 1.52451201886, 130652.81480330898],
[0.011, 5.30694474936, 24601.92302050899],
[0.014, 2.82065667408, 1639.06951718800],
[0.015, 4.79144654769, 77726.90491262719],
[0.013, 5.37369194634, 8989.46770543239],
[0.013, 3.84042504901, 25953.79409198919],
[0.015, 0.08558342266, 130443.39704322898],
[0.011, 5.16135808879, 233681.74972207437],
[0.012, 0.99700192092, 65831.66677432480],
[0.012, 4.51508367315, 78187.44335344699],
[0.012, 0.62022460619, 36109.74042167360],
[0.011, 1.08182792000, 129373.02023068098],
[0.014, 5.59428027773, 25446.48957983520],
[0.011, 4.68045355937, 74923.09699802278],
[0.014, 4.68060965317, 27669.86248985719],
[0.012, 4.91061349082, 54087.00576636560],
[0.010, 0.73914692842, 103917.90082841998],
[0.013, 4.96538793287, 161079.37234650398],
[0.011, 0.31330958005, 182188.72380014337],
[0.013, 3.74649756573, 145204.75475114078],
[0.010, 1.79124533717, 949.17560896980],
[0.010, 4.24347093551, 78109.93061423779],
[0.010, 1.22394899357, 104505.39137678158],
[0.012, 3.21001019103, 102018.41617342478],
[0.011, 4.48294709049, 102769.65321801379],
[0.010, 4.33936275875, 95.97922721780],
[0.010, 3.73409843943, 199599.31813847594],
[0.012, 6.08780023115, 25450.90686955000],
[0.012, 0.52219299955, 125112.03959948818],
[0.012, 3.12928292612, 11610.55195837420],
[0.013, 2.59745313501, 78378.14871340781],
[0.010, 0.95664142687, 45290.65639321759],
[0.011, 3.04942272888, 309.27832265580],
[0.012, 3.42470973506, 143005.66740785379],
[0.009, 5.24571653547, 34082.43158359840],
[0.012, 1.94632930172, 1135.67687189320],
[0.010, 2.75654212398, 103.78218858060],
[0.010, 6.06089846081, 78270.33798362259],
[0.009, 1.42295924162, 12546.48193908300],
[0.009, 5.23889079020, 160.40736938481],
[0.010, 1.77339719648, 25754.04720080480],
[0.011, 3.45444324976, 27177.61193276780],
[0.010, 2.40808781707, 3462.24470586520],
[0.012, 0.21115577900, 103932.12792242158],
[0.010, 0.44397528833, 26729.31670331319],
[0.009, 4.39355955971, 224.34479570190],
[0.009, 5.76319803259, 86457.98475793119],
[0.009, 3.21350384534, 123668.80510662538],
[0.009, 5.50134612867, 25352.02662804239],
[0.009, 3.61240341796, 76784.84285065818],
[0.009, 3.71346537596, 78213.71280281838],
[0.011, 0.04658635952, 136722.59155786238],
[0.009, 3.16339317765, 24079.34560241519],
[0.010, 1.52307057829, 196137.07343261078],
[0.009, 5.78277172101, 137210.22630911658],
[0.009, 5.34709321166, 16703.06213349900],
[0.010, 1.10603431719, 76152.05911134499],
[0.010, 2.92130709301, 78257.08086582259],
[0.009, 4.92591389280, 52609.51802102519],
[0.008, 4.47915729665, 167850.08294774959],
[0.010, 3.52532046928, 50049.92887576919],
[0.009, 5.74701495675, 128220.75860368418],
[0.009, 3.39636103723, 25771.51127191760],
[0.009, 0.40885845708, 173511.41499690176],
[0.009, 0.05214771460, 209232.91609768817],
[0.011, 4.39473500560, 166740.70439565618],
[0.008, 0.83788793173, 52101.02468458109],
[0.009, 0.39740145698, 208173.53416749899],
[0.009, 2.14648409917, 52250.58788171570],
[0.011, 0.77019715443, 181026.24909573558],
[0.008, 0.46458507594, 11.04570026390],
[0.009, 3.75726239516, 26395.46076254379],
[0.011, 3.88183253605, 99024.13645791399],
[0.009, 5.91589628233, 26404.29501123080],
[0.008, 3.62038830716, 28736.35796704720],
[0.009, 5.53218561478, 50910.23880452200],
[0.008, 3.98222002302, 51226.63067417859],
[0.008, 2.20332298794, 35077.37084700659],
[0.010, 1.71606704784, 132028.58860315479],
[0.009, 4.19828805921, 123200.84011627098],
[0.008, 4.94949508683, 1263.15736257819],
[0.008, 0.38255024740, 78800.51393681798],
[0.008, 3.55931433878, 25508.21555457540],
[0.008, 2.06623542364, 133882.09065283637],
[0.008, 2.76004606287, 103498.41618454478],
[0.009, 6.07146960892, 52595.29092702359],
[0.010, 4.64768763301, 240452.46032331997],
[0.010, 4.75089417351, 158116.49174472899],
[0.009, 3.16830318341, 156531.30018480320],
[0.009, 0.51442466727, 233731.74634397859],
[0.008, 1.84170519176, 52325.36948028299],
[0.009, 1.58020929410, 130866.11389874699],
[0.008, 1.31021834242, 78160.61665050399],
[0.007, 3.52394232228, 209658.82487420217],
[0.007, 5.30361639156, 51852.30086649099],
[0.007, 1.68129390597, 103704.60173298199],
[0.007, 4.93711462539, 77616.69859140778],
[0.007, 4.26547182656, 130363.24963659538],
[0.008, 5.88262362064, 51955.39364070959],
[0.009, 2.85041915486, 52286.01260436779],
[0.009, 4.54751921819, 222224.97657418498],
[0.007, 2.95164397426, 58857.03113654799],
[0.007, 5.09932324366, 26421.75908234360],
[0.008, 5.95900851407, 625.67019231240],
[0.008, 2.87611784406, 182595.65223011957],
[0.007, 2.95245442922, 70269.18098269838],
[0.009, 1.85768285044, 2168.76048228260],
[0.009, 5.87894263333, 203041.89308344139],
[0.007, 5.76376514627, 53399.62412392700],
[0.007, 3.19368974135, 77947.31755506598],
[0.007, 0.58513513972, 17893.62780836560],
[0.007, 1.25969543054, 104275.34649502118],
[0.007, 1.78997113742, 187167.27548807819],
[0.007, 3.04234073392, 77101.23472031478],
[0.007, 5.13452237557, 77307.42026875199],
[0.008, 2.39389370291, 51534.39272140940],
[0.007, 0.36315569295, 179172.74704605396],
[0.009, 4.65044386389, 156954.01704032117],
[0.007, 5.75015377153, 78580.10129437919],
[0.008, 4.90310056069, 101703.15774082378],
[0.007, 2.81152781596, 92741.06060792258],
[0.007, 4.53777069646, 78339.97549599818],
[0.008, 3.72793390212, 77795.74443436819],
[0.007, 4.99225219771, 102659.44689679438],
[0.008, 1.24101149187, 128857.55635958798],
[0.006, 1.24806705522, 181659.72224941078],
[0.007, 1.41908776548, 39450.35284837340],
[0.008, 5.07207947299, 202420.14928260216],
[0.006, 3.88021248158, 104991.50985261079],
[0.007, 0.44811727260, 104301.61594439259],
[0.007, 6.19019459405, 37698.45509994840],
[0.008, 3.27628873745, 183145.01295611399],
[0.006, 1.04156861985, 104197.83375581198],
[0.007, 6.04804574225, 103189.13786188899],
[0.007, 6.15588549143, 75930.51303185058],
[0.007, 2.01982955946, 176332.24614102798],
[0.007, 4.68299502093, 838.96928775040],
[0.007, 4.32694078051, 104248.51979207818],
[0.006, 0.30098706976, 54824.26110862140],
[0.007, 2.39268679107, 80596.90581759460],
[0.006, 0.45279066685, 225687.22128005017],
[0.006, 4.93617566760, 215473.93573383917],
[0.006, 4.22528261713, 79330.20490191258],
[0.007, 5.53062936347, 917.93028598180],
[0.006, 0.27837413876, 76137.83201734339],
[0.007, 1.50054882304, 78313.70604662679],
[0.006, 4.84865195534, 213255.17862965239],
[0.007, 0.37969316028, 102872.74599223239],
[0.006, 4.82915128356, 79859.89586700719],
[0.007, 2.36435599398, 58220.03486452380],
[0.007, 0.76243719900, 183674.70392120857],
[0.006, 3.48561717935, 61560.64729122359],
[0.007, 3.15542325331, 53029.00266490040],
[0.006, 2.04066112896, 156534.53239644598],
[0.006, 4.08906102427, 91919.56991589899],
[0.006, 3.64988511750, 151199.94274106238],
[0.006, 4.09613031145, 53867.97195265079],
[0.006, 3.49486002612, 66653.15746634839],
[0.007, 2.89745929648, 230239.17477710897],
[0.006, 3.99809593088, 50380.54783942739],
[0.006, 3.65663654813, 70383.62027138360],
[0.006, 6.23319937932, 182619.20332637738],
[0.006, 0.15202166498, 51859.41441349179],
[0.006, 0.36162525319, 26823.77965510599],
[0.006, 5.03417122369, 78786.28684281638],
[0.006, 2.61401898803, 80382.47328510099],
[0.006, 5.06939782090, 51841.95034237900],
[0.008, 4.96432797037, 52396.21892558720],
[0.006, 3.74091556543, 155475.15046625677],
[0.006, 4.29792825666, 52812.80255517260],
[0.007, 6.02219529486, 156507.74908854539],
[0.005, 6.28085632767, 31415.37924995700],
[0.006, 2.70517720720, 52492.19815280499],
[0.007, 6.25185953525, 74935.57376844239],
[0.005, 6.03800330793, 84944.93427812219],
[0.007, 2.08385155566, 104819.57755665119],
[0.005, 2.79143401592, 51315.49635439559],
[0.007, 0.15300257128, 2014.98167179780],
[0.006, 5.45690475475, 1243.48760167840],
[0.005, 1.72310829290, 103718.82882698359],
[0.005, 0.05343175320, 27044.19229754480],
[0.005, 1.35980682609, 94329.77528619739],
[0.007, 5.94496795198, 256327.07791868312],
[0.006, 1.88665916947, 80174.90890793978],
[0.005, 2.15640465605, 235900.50682626115],
[0.005, 5.97271372078, 156314.11975400720],
[0.006, 2.66620904510, 229129.79622501557],
[0.005, 2.52891655111, 123758.29085447139],
[0.006, 1.20953605164, 130459.18546877075],
[0.005, 4.06443360712, 130285.73689738619],
[0.007, 1.34355308244, 1731.12235293260],
[0.005, 2.36158299954, 78896.49316403578],
[0.005, 0.96987247797, 149288.74325784517],
[0.005, 0.76610110351, 24864.08530079559],
[0.005, 1.95647355963, 76571.54375522019],
[0.005, 1.13701088228, 26312.24793727610],
[0.005, 1.05826639118, 27780.06881107659],
[0.005, 4.54130791881, 156740.71794488319],
[0.006, 3.58276567647, 198489.93958638259],
[0.005, 0.51603916276, 171292.65789271498],
[0.006, 3.03452226064, 77741.13200662879],
[0.005, 1.46111595893, 101011.00013959699],
[0.005, 0.02805624095, 149756.70824819960],
[0.005, 5.10195955921, 112231.70171963578],
[0.005, 4.87459278742, 78413.27262185719],
[0.007, 3.69898590349, 81604.32185142238],
[0.005, 0.76195152302, 417406.45026518719],
[0.005, 0.55904094194, 2383.19301477620],
[0.005, 3.95096384085, 78188.92782615528],
[0.005, 1.76549372525, 53771.99272543299],
[0.005, 3.35356708410, 205260.65018762814],
[0.006, 5.57902902188, 87253.17713015496],
[0.005, 0.26610630357, 235746.72801577637],
[0.005, 2.90596877294, 154194.22245657316],
[0.004, 1.16974176650, 193937.98608932379],
[0.004, 3.93130462476, 130289.95251073639],
[0.004, 4.33627478046, 89.48574784600],
[0.005, 2.80022335340, 4437.51420837359],
[0.006, 4.70286246928, 91805.13062721379],
[0.005, 1.82284966431, 1884.90116341740],
[0.005, 2.02580304988, 259769.65286364855],
[0.004, 4.65165864815, 195047.36464141717],
[0.004, 0.58858147700, 323.50541665740],
[0.004, 4.00623668740, 175376.64639941938],
[0.004, 0.64833718455, 156377.85565231059],
[0.004, 2.71436739189, 182402.02289558138],
[0.005, 4.68929437146, 79315.97780791098],
[0.004, 5.71176695959, 81591.84508100279],
[0.004, 1.42876132655, 52252.07235442399],
[0.005, 2.55069425936, 154308.66174525840],
[0.005, 1.42813778372, 266540.36346489412],
[0.004, 2.00085806148, 189386.03259226496],
[0.005, 4.29231489707, 220025.88923089797],
[0.004, 6.20316213523, 79116.90580647459],
[0.004, 0.85257120719, 118007.47305747319],
[0.004, 5.77579934605, 129799.61842155698],
[0.004, 4.47492094862, 137678.19129947099],
[0.004, 1.64566631180, 78697.42116259939],
[0.005, 2.17514536840, 51329.72344839720],
[0.006, 4.78710650697, 102755.42612401219],
[0.004, 1.46002058771, 935.92998070881],
[0.005, 5.13889133658, 130907.48069822539],
[0.004, 1.89321187110, 2111.65031337760],
[0.004, 0.10839681347, 38.13303563780],
[0.005, 4.42201446083, 78057.52387628538],
[0.005, 5.65870377214, 1300.82681820500],
[0.005, 5.90579064813, 1478.86657406440],
[0.004, 5.24580055005, 52309.91533273340],
[0.004, 2.74756161638, 144916.86689107097],
[0.005, 3.31232177694, 48847.67062686820],
[0.004, 4.43048849829, 118828.96374949679],
[0.004, 0.51369916437, 181563.05360783098],
[0.004, 5.22571179686, 261988.40996783535],
[0.004, 0.80000960641, 1485.29070670320],
[0.004, 3.25642623421, 195181.47369100217],
[0.005, 5.23264312237, 126996.94076290558],
[0.004, 3.86524951456, 209762.60706278277],
[0.004, 3.43760746038, 234261.43730907317],
[0.004, 0.67741502331, 131079.41299418497],
[0.004, 5.40862384292, 104984.39630560997],
[0.004, 0.30384598125, 285907.55262712698],
[0.004, 5.65734972357, 51868.24866217880],
[0.004, 5.55015227967, 149846.19399604559],
[0.004, 1.51752118872, 103814.80805420138],
[0.004, 2.53135799952, 79487.52726550119],
[0.004, 1.88512485652, 54879.42243782400],
[0.004, 5.12386500502, 182622.43553802016],
[0.004, 4.36228014188, 207747.62539098499],
[0.004, 3.24471199066, 130020.03106399579],
[0.004, 0.51045647492, 107692.22499299659],
[0.004, 4.26267840541, 132658.27281205778],
[0.004, 3.08522628552, 175844.61138977378],
[0.004, 3.38866894732, 104888.41707839219],
[0.004, 1.21404057369, 139543.42270198860],
[0.005, 3.75130732000, 62197.64356324779],
[0.004, 0.30056239753, 233202.05537888399],
[0.004, 4.20598588282, 218916.51067880457],
[0.004, 1.34568004641, 182828.62108645737],
[0.004, 0.68519128486, 104276.83096772949],
[0.004, 0.20412928769, 169093.57054942797],
[0.003, 0.98973904852, 105418.10804348679],
[0.004, 3.42019897755, 61279.71327726600],
[0.003, 5.22780381742, 78338.49102328988],
[0.003, 2.67114319601, 24998.19435038059],
[0.004, 1.65814724695, 50800.03248330259],
[0.004, 3.24764679291, 28286.99048486120],
[0.004, 6.01723954923, 104237.17327761157],
[0.003, 3.99050522839, 71378.55953479178],
[0.003, 3.46632047879, 45494.58142974879],
[0.003, 4.27304181959, 130593.29451835579],
[0.003, 4.05932083484, 52822.81711646319],
[0.003, 5.89324219451, 50483.64061364600],
[0.003, 2.88091404327, 78149.27013603736],
[0.003, 4.09573256493, 155460.92337225520],
[0.003, 0.40695406256, 52278.89905736699],
[0.003, 0.53381434741, 26709.64694241340],
[0.003, 1.00008179165, 50264.60679993120],
[0.004, 5.67939124426, 106470.37642667518],
[0.003, 0.77610404005, 142871.55835826878],
[0.003, 3.80375047171, 26402.08932144380],
[0.003, 2.44134109777, 156520.30530244438],
[0.003, 0.98764974659, 128843.32926558638],
[0.003, 3.62903815930, 130435.63437251298],
[0.003, 2.12651302584, 78469.89497315978],
[0.003, 4.29158350083, 154408.65498906677],
[0.003, 1.06499703474, 26734.91397488900],
[0.003, 1.86490629185, 51707.84129279399],
[0.003, 5.95559848753, 104344.98400739678],
[0.004, 3.60184879954, 207114.15223730978],
[0.003, 3.28684847821, 208276.62694171758],
[0.003, 2.80509981839, 104358.24112519680],
[0.003, 5.02808401414, 130432.40216087017],
[0.003, 6.16601650050, 20043.67456019880],
[0.003, 5.29581547615, 57503.28239153120],
[0.003, 1.35036448550, 23919.14265929160],
[0.002, 3.75076268715, 130005.80396999417],
[0.003, 3.05479754348, 162810.49469943656],
[0.003, 2.06087055668, 52065.59996192899],
[0.003, 1.11245383788, 192828.60753723036],
[0.002, 1.90218644384, 24356.78078864160],
[0.002, 4.74203919229, 76887.93562487679],
[0.002, 0.63548334553, 23384.28698689860],
[0.002, 2.51564214512, 26667.59072857300],
[0.002, 6.08909078783, 116783.65521669458],
[0.002, 3.56733241522, 26073.67604757259],
[0.003, 5.60392923976, 104466.05185498200],
[0.002, 3.56126103854, 26189.86565983980],
[0.002, 5.97797555746, 50167.24874398939],
[0.002, 4.41481991835, 65538.25598994759],
[0.002, 5.91297170155, 87367.61641884019],
[0.002, 5.17508169630, 163298.12945069079],
[0.003, 1.10832319418, 25600.26839032000],
[0.002, 2.11477268878, 25773.71696170459],
[0.002, 2.15515419441, 51951.46148744649],
[0.003, 5.43138498093, 106684.80895916879],
[0.002, 0.11511311275, 27170.98337386779],
[0.002, 5.22579437397, 6885.14988993081],
[0.002, 2.93412437896, 63786.35824152260],
[0.003, 6.19860078008, 25004.82290928060],
[0.002, 0.23150025826, 24448.83362438620],
[0.002, 0.54898566845, 153084.84390447979],
[0.002, 0.63373893542, 1265.56747862640],
[0.002, 4.49873870855, 50007.04580086580],
[0.002, 5.57750243319, 25928.60140678200],
[0.002, 5.66467419812, 25466.15934073500],
[0.002, 5.10682926241, 159969.99379441058],
[0.002, 3.49751807681, 259819.64948555277],
],
# L2
[
[53049.845, 0.00000000000, 0.00000000000],
[16903.658, 4.69072300649, 26087.90314157420],
[7396.711, 1.34735624669, 52175.80628314840],
[3018.297, 4.45643539705, 78263.70942472259],
[1107.419, 1.26226537554, 104351.61256629678],
[378.173, 4.31998055900, 130439.51570787099],
[122.998, 1.06868541052, 156527.41884944518],
[38.663, 4.08011610182, 182615.32199101939],
[14.898, 4.63343085810, 1109.37855209340],
[11.861, 0.79187646439, 208703.22513259359],
[5.243, 4.71799772791, 24978.52458948080],
[3.575, 3.77317513032, 234791.12827416777],
[2.566, 1.44059109766, 27197.28169366760],
[2.045, 1.49570544876, 51066.42773105500],
[1.064, 0.46023695675, 260879.03141574195],
[0.972, 1.80344701358, 955.59974160860],
[0.628, 6.18483168149, 529.69096509460],
[0.628, 4.84930105320, 24498.83024629040],
[0.763, 4.54299337366, 77154.33087262919],
[0.654, 0.98170349539, 5661.33204915220],
[0.572, 5.92841937309, 25028.52121138500],
[0.552, 2.13228646570, 20426.57109242200],
[0.507, 4.11466890786, 4551.95349705880],
[0.608, 4.54152310086, 2218.75710418680],
[0.439, 3.40705996719, 11322.66409830440],
[0.381, 2.83442391504, 26617.59410666880],
[0.370, 0.82360646560, 6770.71060124560],
[0.312, 5.18785829630, 46514.47423399620],
[0.314, 3.42002895816, 286966.93455731618],
[0.307, 3.20507351217, 1059.38193018920],
[0.332, 0.97416155325, 25132.30339996560],
[0.327, 2.22989850002, 21535.94964451540],
[0.303, 4.68482058244, 27043.50288318280],
[0.247, 5.87612469398, 16983.99614745660],
[0.311, 4.22422008005, 3442.57494496540],
[0.237, 4.37101224231, 114.43928868521],
[0.234, 0.93917232374, 30639.85663863300],
[0.273, 1.29086264556, 103242.23401420339],
[0.209, 3.30158370895, 213.29909543800],
[0.197, 2.07792605062, 22645.32819660879],
[0.182, 0.62534354989, 25448.00585526019],
[0.219, 1.34188738340, 28306.66024576099],
[0.168, 6.20806483822, 27147.28507176339],
[0.156, 3.91999448441, 32858.61374281979],
[0.160, 5.79377449410, 52705.49724824299],
[0.153, 4.33936015634, 1589.07289528380],
[0.161, 4.80105233203, 23869.14603738740],
[0.148, 1.97575825359, 72602.37737557039],
[0.145, 5.96024756685, 14765.23904326980],
[0.129, 4.16213277137, 23969.13928119580],
[0.135, 3.86775437070, 51220.20654153979],
[0.140, 3.66642468738, 25558.21217647960],
[0.108, 1.39723983534, 50586.73338786459],
[0.115, 0.15124159675, 26301.20223701220],
[0.113, 4.98137485250, 79373.08797681599],
[0.115, 3.05230359467, 53285.18483524180],
[0.099, 3.99635236807, 56727.75978020720],
[0.099, 3.84242768306, 83925.04147387479],
[0.093, 2.04998627084, 26068.23338067440],
[0.092, 0.08628005998, 313054.83769889036],
[0.094, 4.30968259383, 129330.13715577759],
[0.085, 3.01984486981, 53235.18821333759],
[0.105, 5.32363189985, 7238.67559160000],
[0.095, 2.24093904831, 19317.19254032860],
[0.099, 1.00218248773, 29530.47808653960],
[0.075, 5.40269356209, 26091.78447693220],
[0.074, 4.31017375756, 2333.19639287200],
[0.086, 0.78555390902, 57837.13833230060],
[0.081, 0.95889229790, 26107.57290247399],
[0.085, 3.28561166885, 12432.04265039780],
[0.070, 3.55533072657, 13521.75144159140],
[0.078, 0.27707431029, 37410.56723987860],
[0.063, 0.65828525440, 110012.94461544899],
[0.064, 2.68437002997, 43071.89928903080],
[0.067, 3.89216578780, 26084.02180621620],
[0.064, 2.75958867988, 40853.14218484400],
[0.061, 5.77836694481, 12566.15169998280],
[0.069, 3.44813862795, 10213.28554621100],
[0.060, 0.79452201416, 53131.40602475700],
[0.063, 5.02106928248, 98690.28051714458],
[0.063, 2.49160532665, 78793.40038981718],
[0.059, 0.15541098170, 36301.18868778519],
[0.056, 1.01839356017, 27676.97603685800],
[0.053, 1.55958841442, 49957.04917896160],
[0.052, 5.14041028675, 52156.13652224860],
[0.052, 1.15062443564, 26202.34243025941],
[0.052, 0.53687576880, 77308.10968311399],
[0.048, 1.60851837486, 25234.70675982219],
[0.048, 5.19507775798, 48733.23133818299],
[0.053, 5.49113976101, 25661.30495069820],
[0.046, 5.18676728087, 77204.32749453338],
[0.044, 4.97145613800, 25973.46385288896],
[0.054, 0.32708522231, 25874.60404613620],
[0.042, 2.21900478384, 52179.68761850640],
[0.045, 2.52716095523, 103292.23063610759],
[0.048, 0.48944876530, 51646.11531805379],
[0.039, 6.25275173960, 47623.85278608960],
[0.041, 2.81015791586, 41962.52073693740],
[0.037, 5.01445357044, 26080.78959457339],
[0.038, 6.08585317961, 79323.09135491178],
[0.043, 3.24574920597, 52389.10537858640],
[0.041, 2.43000457106, 639.89728631400],
[0.039, 0.76157461206, 82815.66292178139],
[0.034, 3.28090243752, 62389.09182935939],
[0.037, 0.05738918168, 38519.94579197200],
[0.035, 5.78457148656, 68050.42387851159],
[0.040, 3.14856042352, 426.59819087600],
[0.042, 4.09553132731, 52195.47604404819],
[0.032, 2.45518077222, 38654.05484155699],
[0.039, 1.80165134294, 33326.57873317420],
[0.041, 4.32141055637, 26095.01668857500],
[0.032, 3.72358129034, 136100.84775702318],
[0.040, 5.69015360764, 31749.23519072640],
[0.032, 1.65828846012, 105460.99111839019],
[0.032, 1.02549984810, 155418.04029735178],
[0.030, 1.57915654792, 52168.69273614759],
[0.031, 0.69335015231, 50057.04242277000],
[0.033, 4.04678616141, 55618.38122811380],
[0.029, 3.72464718175, 51535.90899683439],
[0.029, 5.73654447860, 129380.13377768178],
[0.038, 3.74472554242, 18849.22754997420],
[0.028, 3.05059885517, 339142.74084046460],
[0.035, 0.74194291507, 52171.92494779040],
[0.028, 0.73918545262, 7880.08915333899],
[0.036, 1.26742819742, 51116.42435295920],
[0.035, 5.29298143160, 45405.09568190280],
[0.032, 5.79438282818, 18093.37469954999],
[0.026, 5.79318346346, 66941.04532641819],
[0.028, 4.27104078603, 54394.56338733519],
[0.024, 5.06304791610, 2118.76386037840],
[0.030, 1.05420470769, 52182.91983014920],
[0.025, 1.75996910240, 124778.18365871879],
[0.022, 4.43631488516, 3328.13565628019],
[0.022, 5.09106835544, 99799.65906923798],
[0.022, 1.88199362566, 78244.03966382280],
[0.021, 2.56123211200, 94138.32702008578],
[0.025, 5.46150069597, 104881.30353139139],
[0.025, 0.05236467599, 26514.50133245020],
[0.025, 3.02983070039, 77734.01845962799],
[0.020, 3.48966334599, 103396.01282468818],
[0.021, 3.97495995227, 53764.87917843220],
[0.018, 1.07895331282, 28421.09953444620],
[0.019, 1.98308917333, 23754.70674870219],
[0.018, 4.58631365960, 76044.95232053580],
[0.019, 2.90042907299, 6283.07584999140],
[0.019, 3.18954246101, 51109.31080595839],
[0.018, 2.11231697626, 73711.75592766379],
[0.017, 0.06118735536, 88476.99497093359],
[0.018, 6.26984143774, 15874.61759536320],
[0.018, 2.58820345674, 51123.53789995999],
[0.017, 5.82864656129, 32370.97899156560],
[0.018, 5.22519288335, 78267.59076008058],
[0.015, 5.43053381026, 64741.95798313119],
[0.015, 2.53107093357, 155468.03691925600],
[0.020, 4.40959528115, 1223.81784077861],
[0.015, 4.05461375332, 51962.50718771040],
[0.015, 3.52769852262, 79219.30916633119],
[0.015, 0.45988103836, 162188.75089859738],
[0.015, 0.87152359342, 78283.37918562238],
[0.014, 1.87990160627, 125887.56221081219],
[0.016, 2.82759858554, 105410.99449648599],
[0.013, 4.67219046898, 78256.59587772179],
[0.016, 0.04901690153, 78477.00852016058],
[0.014, 4.21146699511, 52290.24557183361],
[0.014, 4.08726245298, 78270.82297172339],
[0.015, 3.80902990348, 33967.99229491319],
[0.016, 0.28761005157, 44937.13069154840],
[0.014, 5.84330605810, 103821.92160120218],
[0.015, 6.03738264520, 13655.86049117640],
[0.012, 0.81685952408, 81706.28436968799],
[0.015, 3.79894620695, 108903.56606335558],
[0.011, 3.26651828162, 52602.40447402440],
[0.011, 1.28755195884, 29416.03879785439],
[0.011, 4.03185618461, 181505.94343892598],
[0.011, 5.58448046140, 120226.23016165999],
[0.012, 0.32316787548, 91785.46086631398],
[0.013, 2.02636565149, 71492.99882347698],
[0.015, 3.56357453844, 76674.63652943878],
[0.013, 3.80590035776, 78259.82808936459],
[0.010, 0.04109363791, 77197.21394753258],
[0.010, 6.00753285175, 365230.64398203877],
[0.010, 1.74642821988, 52061.36699446317],
[0.013, 2.79229719351, 636.99627202420],
[0.011, 5.52780687723, 26727.80042788820],
[0.011, 4.04728142335, 45892.73043315699],
[0.008, 4.96985130540, 151975.46535238638],
[0.008, 3.44547998787, 23439.44831610119],
[0.011, 2.54429302352, 44181.27784112419],
[0.010, 3.50274229100, 65697.55772473979],
[0.009, 2.45809063705, 93028.94846799239],
[0.009, 4.92568932060, 104331.94280539699],
[0.008, 0.80535713418, 71980.63357473118],
[0.010, 2.20026830808, 130969.20667296558],
[0.007, 2.30885367448, 18207.81398823521],
[0.010, 5.72020107388, 77211.44104153418],
[0.007, 0.15536656581, 129483.91596626239],
[0.008, 2.31255848253, 58458.88213313979],
[0.007, 2.07713892797, 90829.86112470538],
[0.007, 3.50101836609, 117873.36400788819],
[0.007, 3.20275960823, 64607.84893354619],
[0.007, 4.73829767381, 51322.60990139639],
[0.007, 5.65553946700, 181555.94006083018],
[0.009, 2.56870006051, 129909.82474277639],
[0.008, 0.67171808844, 79852.78232000639],
[0.007, 4.06204756163, 39609.65458316560],
[0.007, 1.46575838897, 853.19638175200],
[0.007, 2.57400610109, 69159.80243060499],
[0.006, 3.86283147263, 59414.48187474840],
[0.006, 1.33545681950, 102132.85546210999],
[0.007, 2.80506785787, 39743.76363275060],
[0.006, 1.66711581835, 28206.66700195260],
[0.008, 4.73806237855, 150866.08680029298],
[0.006, 0.81325444169, 207593.84658050019],
[0.006, 0.06925555540, 58946.51688439399],
[0.006, 3.09908354288, 114564.89811250778],
[0.006, 0.88473087003, 104358.72611329758],
[0.006, 3.51715962887, 188276.65404017159],
[0.006, 4.13083556162, 54509.00267602040],
[0.006, 3.14680331401, 104564.91166173479],
[0.007, 5.89465282471, 131498.89763806018],
[0.005, 0.27174681491, 143961.26714946239],
[0.005, 5.25316838887, 3340.61242669980],
[0.007, 1.99860349328, 104355.49390165479],
[0.005, 1.47362369989, 9103.90699411760],
[0.007, 0.60725013988, 60055.89543648739],
[0.005, 3.20081630256, 13541.42120249119],
[0.006, 0.50137409605, 63498.47038145279],
[0.005, 5.07739475360, 97580.90196505119],
[0.005, 1.35632842517, 104344.49901929598],
[0.005, 2.16611734526, 103925.01437542078],
[0.005, 4.04581717475, 98068.53671630539],
[0.005, 4.90166806916, 22759.76748529401],
[0.005, 3.87246722733, 89586.37352302698],
[0.005, 3.01510200596, 103285.11708910679],
[0.006, 1.44791474080, 78050.41032928458],
[0.005, 2.47831218420, 26241.68195205900],
[0.005, 3.85799454501, 107794.18751126219],
[0.005, 0.57300969993, 134991.46920492980],
[0.005, 2.38724530268, 146314.13330323418],
[0.004, 6.11121027497, 90695.75207512038],
[0.004, 1.83181231470, 74821.13447975718],
[0.004, 5.23938469806, 130012.91751699499],
[0.005, 1.18020888905, 27311.72098235281],
[0.005, 3.00001411726, 85034.42002596818],
[0.005, 5.56662713374, 155997.72788435058],
[0.005, 2.35342507828, 145204.75475114078],
[0.004, 4.57119707855, 157636.79740153858],
[0.004, 5.78384635962, 51742.09454527159],
[0.004, 2.41778026187, 157483.01859105378],
[0.005, 2.53226316949, 103299.34418310839],
[0.004, 3.71458526250, 26555.86813192860],
[0.004, 3.83639975710, 150244.34299945380],
[0.004, 3.30201863644, 76144.94556434419],
[0.004, 0.68904721853, 124156.43985787958],
[0.004, 1.73206522989, 178063.36849396059],
[0.005, 3.20991489892, 71025.03383312259],
[0.005, 3.69408876581, 105940.68546158058],
[0.004, 2.75867944254, 391318.54712361295],
[0.005, 0.53586068200, 80482.46652890938],
[0.004, 5.07565982849, 51756.32163927320],
[0.004, 0.12462379137, 78690.30761559859],
[0.004, 5.25512859919, 157057.10981453978],
[0.004, 5.66367904256, 9384.84100807520],
[0.004, 4.70366039546, 54294.57014352679],
[0.004, 4.74767635950, 204151.27163553477],
[0.003, 3.24177385660, 155571.81910783658],
[0.003, 0.85377908455, 16066.06586147480],
[0.003, 1.58566666033, 130226.21661243298],
[0.004, 5.58218314089, 119116.85160956658],
[0.004, 0.94898112028, 78378.14871340781],
[0.004, 6.15781348253, 97112.93697469679],
[0.004, 2.31787867435, 52815.70356946240],
[0.004, 2.73401660736, 78417.48823520739],
[0.004, 5.67762508473, 183674.70392120857],
[0.004, 0.21138526735, 214364.55718174577],
[0.004, 5.24311464709, 116917.76426627958],
[0.003, 3.86634858823, 104371.28232719658],
[0.004, 5.42881221134, 233731.74634397859],
[0.003, 1.97251042531, 183145.01295611399],
[0.003, 0.60740481915, 133882.09065283637],
[0.003, 6.23399386415, 181659.72224941078],
[0.004, 6.22336284288, 140652.80125408198],
[0.003, 5.94876130841, 25035.63475838580],
[0.003, 3.83428144879, 233681.74972207437],
[0.003, 2.32902857669, 182085.63102592478],
[0.003, 2.84354681160, 123200.84011627098],
[0.003, 1.53933182823, 176953.98994186718],
[0.004, 2.45893471155, 207643.84320240439],
[0.003, 5.72001402121, 102762.53967101299],
[0.004, 1.40880562474, 80382.47328510099],
[0.003, 4.90489886883, 51749.20809227239],
[0.003, 4.76799924569, 104138.31347085879],
[0.004, 6.26291139255, 25021.40766438420],
[0.003, 0.40352872921, 132028.58860315479],
[0.003, 2.66696150741, 157586.80077963436],
[0.003, 5.23202292846, 84546.78527471398],
[0.003, 4.59428408981, 131548.89425996438],
[0.003, 2.53649995681, 50579.61984086379],
[0.003, 2.55542640702, 77829.99768684579],
[0.004, 1.67304824627, 130419.84594697120],
[0.003, 6.21862713072, 95247.70557217918],
[0.003, 5.37878648081, 44295.71712980940],
[0.003, 4.68342323732, 156507.74908854539],
[0.003, 3.36164307862, 104778.21075717278],
[0.003, 2.91632245418, 166740.70439565618],
[0.002, 0.72039482289, 7994.52844202420],
[0.002, 5.43309839263, 78903.60671103658],
[0.002, 1.12849064703, 183724.70054311279],
[0.003, 1.94668130835, 143005.66740785379],
[0.003, 0.56289392960, 104347.73123093879],
[0.002, 1.78482957305, 156531.30018480320],
[0.003, 5.03542424850, 130443.39704322898],
[0.003, 4.72735160431, 78149.27013603736],
[0.002, 5.31651763274, 208173.53416749899],
[0.003, 5.36470448658, 131395.11544947958],
[0.002, 0.06581745526, 196137.07343261078],
[0.002, 2.93678015526, 167850.08294774959],
[0.002, 5.84781134233, 65831.66677432480],
[0.002, 5.56634055777, 70269.18098269838],
[0.002, 5.42145220392, 183570.92173262799],
[0.002, 6.06636386319, 53242.30176033840],
[0.002, 4.37154457896, 128220.75860368418],
[0.002, 0.35903300236, 187167.27548807819],
[0.002, 2.78347515438, 79330.20490191258],
[0.002, 4.51952536661, 203041.89308344139],
[0.002, 3.36865001265, 170049.17029103660],
[0.002, 3.08184453618, 50593.84693486539],
[0.002, 4.32534428501, 55503.94193942859],
[0.002, 1.81636961816, 110634.68841628819],
[0.002, 5.58793955981, 103917.90082841998],
[0.002, 5.79409172557, 417406.45026518719],
[0.002, 0.85923934181, 235900.50682626115],
[0.002, 4.60084058009, 26941.09952332620],
[0.002, 5.14995676460, 182188.72380014337],
[0.002, 3.91756419842, 130446.62925487179],
[0.002, 2.88997273266, 27154.39861876420],
[0.003, 5.85721944439, 52329.58509363319],
[0.002, 6.10145799164, 77623.81213840858],
[0.002, 1.98246165585, 77844.22478084739],
[0.002, 0.11071759480, 130866.11389874699],
[0.002, 0.64849171165, 52643.77127350280],
[0.002, 3.98410950717, 104466.05185498200],
[0.002, 1.83715639115, 123668.80510662538],
[0.002, 5.61305711026, 76667.52298243798],
[0.002, 5.83992902277, 19804.82729158280],
[0.002, 0.54331921743, 130459.18546877075],
[0.002, 0.00997429525, 141762.17980617538],
[0.002, 5.59377744943, 35191.81013569180],
[0.002, 0.39746661127, 26521.61487945100],
[0.002, 6.16192704020, 130652.81480330898],
[0.002, 0.85416063806, 25934.12433108940],
[0.002, 2.18339110714, 156100.82065856917],
[0.002, 4.39281517355, 130432.40216087017],
[0.002, 5.50117730009, 172402.03644480839],
[0.001, 3.49234867738, 130435.63437251298],
[0.001, 4.80995492080, 77837.11123384659],
[0.002, 6.26921260007, 87367.61641884019],
[0.002, 2.79561490409, 115674.27666460119],
[0.002, 4.92122664455, 24864.08530079559],
[0.001, 2.41576832330, 26037.90651966999],
[0.001, 6.04596837149, 129373.02023068098],
[0.002, 0.94020572434, 80596.90581759460],
[0.002, 0.30073776192, 51639.00177105299],
[0.001, 0.18846827752, 34082.43158359840],
[0.001, 3.62844435085, 161079.37234650398],
[0.002, 5.13133615893, 49842.60989027639],
[0.001, 0.30832555285, 53228.07466633679],
[0.001, 5.56519625382, 129387.24732468258],
[0.001, 5.63110777945, 46848.33017476560],
[0.001, 1.38420566741, 26011.63707029860],
[0.001, 5.86450783334, 26724.89941359840],
[0.001, 6.14517818644, 76681.75007643958],
[0.001, 3.19299019423, 25654.19140369739],
[0.001, 0.34495954566, 128850.44281258718],
[0.001, 3.60230008239, 20760.42703319140],
[0.001, 5.80015495751, 19406.67828817460],
[0.001, 4.42116052212, 100909.03762133139],
[0.001, 0.48535289275, 52698.38370124219],
[0.001, 6.22940855233, 111590.28815789679],
[0.001, 0.16055219324, 105307.21230790539],
[0.001, 2.19795772042, 29428.51556827400],
[0.001, 5.09783503526, 102232.84870591838],
[0.001, 0.61014627166, 25668.41849769900],
[0.001, 5.62459774786, 25565.32572348040],
[0.001, 0.90991571866, 103711.71527998279],
[0.001, 0.28037611495, 25450.90686955000],
[0.001, 0.54824728173, 26137.89976347840],
[0.001, 4.25324476801, 209812.60368468694],
[0.001, 0.08089899001, 51543.02254383520],
[0.001, 0.33953378597, 51528.79544983359],
[0.001, 4.15667461533, 25551.09862947879],
[0.001, 1.59597814656, 72936.23331633979],
[0.001, 5.59362222240, 25619.93815121980],
[0.001, 3.26520760555, 240452.46032331997],
[0.001, 5.52286605071, 52125.80966124419],
],
# L3
[
[188.077, 0.03466830117, 52175.80628314840],
[142.152, 3.12505452600, 26087.90314157420],
[96.877, 3.00378171915, 78263.70942472259],
[43.669, 6.01867965826, 104351.61256629678],
[35.395, 0.00000000000, 0.00000000000],
[18.045, 2.77538373991, 130439.51570787099],
[6.971, 5.81808665742, 156527.41884944518],
[2.556, 2.57014364454, 182615.32199101939],
[0.900, 5.59308888939, 208703.22513259359],
[0.307, 2.32189002493, 234791.12827416777],
[0.117, 3.16567324160, 24978.52458948080],
[0.102, 5.32134064237, 260879.03141574195],
[0.077, 6.24155593431, 51066.42773105500],
[0.057, 6.11222330831, 27197.28169366760],
[0.034, 2.03244612467, 286966.93455731618],
[0.038, 2.99912912226, 77154.33087262919],
[0.031, 3.11483471984, 53285.18483524180],
[0.017, 6.02950226714, 103242.23401420339],
[0.011, 5.00109293882, 313054.83769889036],
[0.009, 0.59396483404, 20426.57109242200],
[0.009, 3.65190477342, 46514.47423399620],
[0.009, 6.28305510644, 79373.08797681599],
[0.008, 2.74138109305, 129330.13715577759],
[0.007, 5.79018632644, 25132.30339996560],
[0.005, 0.33554769835, 72602.37737557039],
[0.005, 1.31115810350, 26617.59410666880],
[0.004, 2.46414914425, 51220.20654153979],
[0.004, 1.74528964721, 339142.74084046460],
[0.004, 4.31141963105, 52705.49724824299],
[0.004, 3.07093349506, 27043.50288318280],
[0.004, 5.68013701250, 30639.85663863300],
[0.003, 5.80662640937, 155418.04029735178],
[0.003, 4.64519088060, 27147.28507176339],
[0.004, 3.02893592955, 23869.14603738740],
[0.003, 4.35199345075, 79323.09135491178],
[0.003, 1.29040630287, 53235.18821333759],
[0.003, 4.34017676059, 14765.23904326980],
[0.003, 2.86652251194, 105460.99111839019],
[0.003, 6.23875368963, 28306.66024576099],
[0.003, 3.37815322354, 98690.28051714458],
[0.002, 5.37466119262, 110012.94461544899],
[0.002, 0.16040583556, 50586.73338786459],
[0.002, 0.35038889636, 19317.19254032860],
[0.002, 6.23271649650, 49957.04917896160],
[0.002, 2.52219274566, 181505.94343892598],
[0.002, 5.05358903232, 162188.75089859738],
[0.002, 0.15071040297, 124778.18365871879],
[0.002, 2.29024350361, 56727.75978020720],
[0.002, 0.42411179784, 71492.99882347698],
[0.002, 6.11262694468, 57837.13833230060],
[0.002, 2.17198531948, 108903.56606335558],
[0.002, 2.92723030315, 54394.56338733519],
[0.002, 2.40411188609, 83925.04147387479],
[0.002, 3.43613336205, 78267.59076008058],
[0.002, 4.77873510695, 365230.64398203877],
[0.002, 3.54043808451, 64741.95798313119],
[0.002, 1.60502923885, 77734.01845962799],
[0.002, 3.11800510932, 150866.08680029298],
[0.002, 1.02098746090, 78793.40038981718],
[0.002, 4.39439085682, 88476.99497093359],
[0.002, 1.49912329404, 43071.89928903080],
[0.002, 1.96277160647, 25558.21217647960],
[0.002, 4.76774165204, 77204.32749453338],
[0.002, 0.61066658116, 155468.03691925600],
[0.002, 5.26875308161, 77308.10968311399],
[0.002, 0.52736095020, 94138.32702008578],
[0.002, 2.05793854229, 103396.01282468818],
[0.002, 4.12698349577, 66941.04532641819],
[0.002, 5.43336870762, 78283.37918562238],
[0.002, 1.97520131105, 136100.84775702318],
[0.002, 5.54343111585, 81706.28436968799],
[0.002, 1.25444219651, 40853.14218484400],
[0.002, 1.07684180123, 103292.23063610759],
[0.001, 3.23979322492, 52156.13652224860],
[0.002, 5.33834891475, 52182.91983014920],
[0.002, 3.36867866204, 99799.65906923798],
[0.002, 5.40697906670, 82815.66292178139],
[0.001, 5.80853057947, 4551.95349705880],
[0.001, 4.95909385120, 129483.91596626239],
[0.001, 3.17481245588, 76674.63652943878],
[0.001, 1.53803169600, 52389.10537858640],
[0.001, 2.48052961456, 53764.87917843220],
[0.001, 1.20843095195, 105410.99449648599],
[0.002, 3.64576833526, 45405.09568190280],
[0.002, 4.00710217385, 104881.30353139139],
[0.001, 3.09532094520, 76044.95232053580],
[0.001, 5.52119023864, 58946.51688439399],
[0.002, 5.53036712466, 131548.89425996438],
[0.001, 0.38352295948, 52179.68761850640],
[0.001, 0.08902944955, 51116.42435295920],
[0.001, 1.47514166670, 62389.09182935939],
[0.001, 4.20864838814, 131498.89763806018],
[0.001, 2.88161012078, 79219.30916633119],
[0.001, 5.03155341199, 51646.11531805379],
[0.001, 0.05873279909, 53131.40602475700],
[0.001, 0.60647620600, 38654.05484155699],
[0.001, 1.58007357234, 391318.54712361295],
[0.001, 0.68687557696, 130969.20667296558],
[0.001, 3.90367213586, 129380.13377768178],
[0.001, 2.11138180302, 32858.61374281979],
[0.001, 0.18542211423, 78244.03966382280],
[0.001, 1.24063083423, 9103.90699411760],
[0.001, 1.78547815249, 188276.65404017159],
[0.001, 0.94125502564, 93028.94846799239],
[0.001, 2.41309932759, 55618.38122811380],
[0.001, 2.29683748973, 52195.47604404819],
[0.001, 3.39284109553, 25028.52121138500],
[0.001, 4.29717383023, 26301.20223701220],
[0.001, 6.10639166059, 102132.85546210999],
[0.001, 4.58189329524, 37410.56723987860],
[0.001, 6.16145880062, 125887.56221081219],
[0.001, 5.22010441376, 52171.92494779040],
[0.001, 5.95645110567, 80482.46652890938],
[0.001, 4.81981872221, 26107.57290247399],
[0.001, 4.27546069271, 36301.18868778519],
[0.001, 2.43374991272, 51535.90899683439],
[0.001, 4.03088051207, 1109.37855209340],
[0.001, 5.60495524983, 207593.84658050019],
[0.001, 4.89918476796, 35191.81013569180],
[0.001, 6.07747011982, 27676.97603685800],
[0.001, 5.48361013686, 29530.47808653960],
[0.001, 0.15288602386, 25448.00585526019],
[0.001, 2.18342825402, 63498.47038145279],
[0.001, 3.67054321453, 21535.94964451540],
[0.001, 1.49815422727, 26084.02180621620],
[0.001, 1.75551273491, 26095.01668857500],
[0.001, 2.60061927559, 12566.15169998280],
[0.001, 2.69537843932, 52290.24557183361],
[0.001, 4.87760109673, 25874.60404613620],
[0.001, 2.82170820105, 26091.78447693220],
[0.001, 0.20736391933, 52061.36699446317],
[0.001, 3.82330817663, 68050.42387851159],
[0.001, 4.42501613287, 22645.32819660879],
[0.001, 6.01128227925, 52168.69273614759],
[0.001, 0.28595674172, 11322.66409830440],
[0.001, 5.86280830053, 26202.34243025941],
[0.001, 3.42109354799, 25973.46385288896],
[0.001, 0.30050065300, 41962.52073693740],
[0.001, 2.73414310032, 25035.63475838580],
[0.001, 1.72346523407, 51962.50718771040],
[0.001, 4.77297529316, 78477.00852016058],
[0.001, 5.84491832575, 50057.04242277000],
[0.001, 3.22072290870, 25021.40766438420],
[0.001, 4.74388045372, 26514.50133245020],
[0.001, 4.31760630574, 69159.80243060499],
[0.001, 0.65529515413, 426.59819087600],
[0.000, 1.96307435492, 1059.38193018920],
[0.001, 5.58694327783, 79852.78232000639],
[0.000, 3.84680432548, 26080.78959457339],
[0.001, 6.07111696987, 102762.53967101299],
[0.000, 0.59142287644, 73711.75592766379],
[0.001, 5.84438975852, 105307.21230790539],
[0.001, 2.82906439989, 24498.83024629040],
],
# L4
[
[114.078, 3.14159265359, 0.00000000000],
[3.247, 2.02848007619, 26087.90314157420],
[1.914, 1.41731803758, 78263.70942472259],
[1.727, 4.50137643801, 52175.80628314840],
[1.237, 4.49970181057, 104351.61256629678],
[0.645, 1.26591776986, 130439.51570787099],
[0.298, 4.30600984981, 156527.41884944518],
[0.128, 1.05702505039, 182615.32199101939],
[0.051, 4.08566191934, 208703.22513259359],
[0.020, 0.82130394681, 234791.12827416777],
[0.008, 3.82199615635, 260879.03141574195],
[0.003, 0.54824060574, 286966.93455731618],
[0.002, 3.52134138964, 313054.83769889036],
[0.001, 1.67435118540, 24978.52458948080],
[0.002, 4.60718203612, 51066.42773105500],
[0.001, 1.11396201203, 129330.13715577759],
[0.001, 4.35040700322, 103242.23401420339],
[0.001, 4.17434865844, 79373.08797681599],
[0.001, 1.20388630609, 77154.33087262919],
[0.001, 4.84677084740, 27197.28169366760],
[0.001, 0.29913093643, 339142.74084046460],
[0.000, 4.11587125815, 155418.04029735178],
[0.000, 0.73293870976, 46514.47423399620],
[0.000, 3.68822427283, 21535.94964451540],
[0.000, 3.83816920045, 20426.57109242200],
[0.000, 4.73086078962, 1059.38193018920],
[0.000, 0.40939402954, 24498.83024629040],
[0.000, 3.30678220146, 365230.64398203877],
],
# L5
[
[0.877, 3.14159265359, 0.00000000000],
[0.059, 3.37513289692, 52175.80628314840],
[0.042, 0.02433099382, 78263.70942472259],
[0.043, 4.65071406046, 26087.90314157420],
[0.031, 2.98112204944, 104351.61256629678],
[0.019, 6.00992467582, 130439.51570787099],
[0.010, 2.75699791920, 156527.41884944518],
[0.005, 5.79082359724, 182615.32199101939],
[0.002, 2.51435448230, 208703.22513259359],
[0.001, 5.49411470932, 234791.12827416777],
[0.001, 2.23688504668, 260879.03141574195],
[0.001, 5.18718589133, 286966.93455731618],
[0.000, 2.11315496491, 313054.83769889036],
],
]
"""This table contains Mercury's periodic terms (all of them) from the
planetary theory VSOP87 for the heliocentric longitude at the equinox of date
(taken from the 'D' solution). In Meeus' book a shortened version can be found
in pages 414-415."""
VSOP87_B = [
# B0
[
[11737528.962, 1.98357498767, 26087.90314157420],
[2388076.996, 5.03738959685, 52175.80628314840],
[1222839.532, 3.14159265359, 0.00000000000],
[543251.810, 1.79644363963, 78263.70942472259],
[129778.770, 4.83232503961, 104351.61256629678],
[31866.927, 1.58088495667, 130439.51570787099],
[7963.301, 4.60972126348, 156527.41884944518],
[2014.189, 1.35324164694, 182615.32199101939],
[513.953, 4.37835409309, 208703.22513259359],
[207.674, 4.91772564073, 27197.28169366760],
[208.584, 2.02020294153, 24978.52458948080],
[132.013, 1.11908492283, 234791.12827416777],
[100.454, 5.65684734206, 20426.57109242200],
[121.395, 1.81271752059, 53285.18483524180],
[91.566, 2.28163128692, 25028.52121138500],
[99.214, 0.09391887097, 51116.42435295920],
[94.574, 1.24184909234, 31749.23519072640],
[78.785, 4.40725880000, 57837.13833230060],
[77.747, 0.52557061749, 1059.38193018920],
[84.264, 5.08510388314, 51066.42773105500],
[49.948, 3.49752993688, 5661.33204915220],
[46.454, 3.23739270829, 77204.32749453338],
[44.767, 4.87849816734, 79373.08797681599],
[40.766, 2.46558332165, 46514.47423399620],
[37.378, 4.45768797944, 4551.95349705880],
[34.082, 4.14209210575, 260879.03141574195],
[35.911, 1.09057317869, 1109.37855209340],
[31.953, 1.18516389747, 83925.04147387479],
[30.954, 3.50328027210, 21535.94964451540],
[31.808, 2.41474588439, 47623.85278608960],
[28.691, 1.84828614269, 77154.33087262919],
[25.765, 2.77593370583, 27043.50288318280],
[25.199, 3.59062266460, 27147.28507176339],
[20.244, 3.06833797229, 51646.11531805379],
[18.591, 5.58427274440, 73711.75592766379],
[16.971, 0.02791276551, 103292.23063610759],
[20.099, 4.06593040301, 25132.30339996560],
[17.002, 6.13739392193, 41962.52073693740],
[14.984, 1.64717994813, 105460.99111839019],
[14.186, 0.33074185469, 10213.28554621100],
[15.577, 6.07693643204, 53131.40602475700],
[15.795, 3.79629547258, 529.69096509460],
[14.011, 5.52786452723, 72602.37737557039],
[12.309, 3.16626298867, 14765.23904326980],
[11.261, 0.11326534696, 13521.75144159140],
[12.448, 4.05109331029, 39609.65458316560],
[13.044, 3.48016433624, 37410.56723987860],
[11.042, 4.23192662377, 110012.94461544899],
[11.152, 0.55658461820, 63498.47038145279],
[10.717, 1.53686240986, 25661.30495069820],
[10.213, 2.87881017166, 12566.15169998280],
[9.924, 0.94824584866, 65697.55772473979],
[11.047, 5.79741510309, 51749.20809227239],
[10.460, 5.82962163777, 50586.73338786459],
[9.774, 1.66271762650, 24498.83024629040],
[9.412, 1.82364886045, 15874.61759536320],
[12.866, 4.81650804018, 30639.85663863300],
[9.123, 4.88604394110, 103242.23401420339],
[9.011, 1.04262074744, 426.59819087600],
[8.735, 3.04132552652, 68050.42387851159],
[8.491, 1.05130498445, 1589.07289528380],
[8.835, 0.88128343813, 286966.93455731618],
[8.823, 5.81343662067, 11322.66409830440],
[8.196, 0.84015129448, 51220.20654153979],
[7.640, 3.43584035231, 36301.18868778519],
[9.175, 6.16059719071, 77734.01845962799],
[8.897, 0.39691733779, 53235.18821333759],
[7.253, 2.37179970828, 99799.65906923798],
[7.104, 5.73557153523, 26617.59410666880],
[8.322, 5.27157128800, 25558.21217647960],
[6.578, 2.66741925057, 52705.49724824299],
[5.825, 6.25072627414, 33326.57873317420],
[5.625, 3.08030000230, 129380.13377768178],
[5.295, 1.35863387771, 45892.73043315699],
[5.116, 2.67576280851, 76674.63652943878],
[5.035, 2.66614676257, 77837.11123384659],
[4.762, 4.68983196238, 131548.89425996438],
[5.714, 2.87339047644, 79219.30916633119],
[5.601, 5.37190885150, 955.59974160860],
[4.965, 3.47619946892, 59414.48187474840],
[5.468, 1.43781223143, 56727.75978020720],
[4.080, 4.01667499000, 91785.46086631398],
[3.971, 5.44452771841, 6283.07584999140],
[4.063, 5.64291749144, 26068.23338067440],
[3.877, 3.60887633874, 89586.37352302698],
[4.047, 5.95235957644, 38654.05484155699],
[4.064, 1.46283079734, 26107.57290247399],
[3.681, 0.47365215122, 62389.09182935939],
[4.247, 6.23163402945, 40853.14218484400],
[3.694, 2.75543227024, 7238.67559160000],
[3.348, 5.91868911857, 43071.89928903080],
[4.475, 2.28937952702, 98690.28051714458],
[3.115, 0.74943919509, 32858.61374281979],
[3.100, 3.35203735852, 19804.82729158280],
[3.215, 6.11374633777, 94138.32702008578],
[3.558, 0.98820289555, 136100.84775702318],
[2.908, 4.06284172838, 26514.50133245020],
[2.799, 1.63602212056, 129330.13715577759],
[2.800, 3.88358619611, 77308.10968311399],
[2.680, 4.48235268618, 71980.63357473118],
[2.767, 4.12700796923, 27676.97603685800],
[3.285, 0.39398081520, 18849.22754997420],
[3.290, 2.93487892542, 103821.92160120218],
[3.048, 0.67698362024, 9103.90699411760],
[2.484, 5.42332204960, 125887.56221081219],
[2.663, 1.70280488847, 16983.99614745660],
[2.791, 2.76839978418, 26091.78447693220],
[2.747, 5.75135788288, 19317.19254032860],
[2.676, 5.73635682216, 78793.40038981718],
[2.710, 4.31274902720, 58946.51688439399],
[2.877, 3.45410696457, 79323.09135491178],
[2.787, 4.34025817469, 26084.02180621620],
[2.097, 2.09090732812, 23869.14603738740],
[2.297, 3.90321251530, 313054.83769889036],
[2.535, 3.05170623483, 69159.80243060499],
[2.211, 4.65120210900, 28306.66024576099],
[1.912, 5.78403850812, 102762.53967101299],
[2.265, 3.34478937379, 22645.32819660879],
[1.817, 5.74251490625, 103925.01437542078],
[1.961, 5.94577427093, 105307.21230790539],
[1.922, 4.43763124338, 82815.66292178139],
[1.667, 4.51887419928, 52195.47604404819],
[1.771, 6.12278757535, 155468.03691925600],
[1.515, 1.72458115830, 54394.56338733519],
[1.585, 0.23900687506, 85502.38501632259],
[1.477, 4.73359545019, 29530.47808653960],
[1.469, 1.44574704924, 157636.79740153858],
[1.653, 2.41345886386, 52156.13652224860],
[1.377, 0.59981573116, 26080.78959457339],
[1.430, 0.78416943990, 117873.36400788819],
[1.680, 3.42684715134, 6770.71060124560],
[1.604, 4.52048871587, 3442.57494496540],
[1.345, 0.31857167988, 51535.90899683439],
[1.357, 3.17349203273, 25874.60404613620],
[1.250, 2.33380858079, 25448.00585526019],
[1.196, 2.09277609512, 48733.23133818299],
[1.194, 0.36376300747, 115674.27666460119],
[1.443, 2.73186009497, 64741.95798313119],
[1.375, 5.32672767568, 124778.18365871879],
[1.325, 3.57805811914, 88476.99497093359],
[1.115, 0.26092087309, 639.89728631400],
[1.094, 2.22755234371, 32370.97899156560],
[1.433, 3.03965981318, 66941.04532641819],
[1.370, 3.45924813827, 44937.13069154840],
[1.003, 0.28769164324, 25934.12433108940],
[1.136, 1.11057140999, 52171.92494779040],
[1.000, 0.52457514920, 26241.68195205900],
[1.033, 2.55563840213, 45405.09568190280],
[1.096, 5.01257889902, 7.11354700080],
[1.146, 5.40631829059, 213.29909543800],
[1.080, 5.97835772937, 129909.82474277639],
[0.988, 1.25815251981, 98068.53671630539],
[1.062, 2.88132742088, 120226.23016165999],
[0.892, 0.63710475446, 103396.01282468818],
[1.041, 0.89365572198, 52602.40447402440],
[0.978, 0.93067667928, 53764.87917843220],
[1.136, 5.82023159264, 52179.68761850640],
[0.838, 4.66556603681, 155418.04029735178],
[0.910, 5.53568417425, 58458.88213313979],
[0.834, 5.16159172473, 49957.04917896160],
[1.100, 4.02157761190, 162188.75089859738],
[0.805, 1.03425281191, 23969.13928119580],
[0.835, 5.28205659749, 50057.04242277000],
[0.891, 0.21542628779, 105410.99449648599],
[0.743, 0.86945390288, 52389.10537858640],
[0.783, 3.32304812554, 26301.20223701220],
[0.711, 1.57780048955, 2118.76386037840],
[0.801, 2.18220012579, 151975.46535238638],
[0.915, 1.71247948367, 51962.50718771040],
[0.832, 5.53506450006, 74821.13447975718],
[0.750, 2.16183196338, 52168.69273614759],
[0.923, 2.50170936928, 104881.30353139139],
[0.727, 6.05394635764, 95247.70557217918],
[0.640, 2.71738158564, 131395.11544947958],
[0.628, 1.43868691098, 55618.38122811380],
[0.622, 3.46102298068, 77623.81213840858],
[0.825, 1.00561540075, 85034.42002596818],
[0.611, 0.99677911598, 2218.75710418680],
[0.605, 4.68164610499, 52182.91983014920],
[0.646, 2.57803910757, 128850.44281258718],
[0.621, 1.16576338077, 108903.56606335558],
[0.651, 1.60040223342, 26095.01668857500],
[0.599, 2.51123620954, 130012.91751699499],
[0.570, 1.27714994259, 78283.37918562238],
[0.616, 2.88990323867, 52026.24308601380],
[0.553, 5.17654422678, 25938.33994443960],
[0.560, 3.32834155275, 51109.31080595839],
[0.538, 4.74592892110, 80482.46652890938],
[0.514, 5.52495783925, 25021.40766438420],
[0.512, 2.12021253064, 25035.63475838580],
[0.545, 1.31029342517, 26555.86813192860],
[0.475, 4.05390077061, 149.56319713460],
[0.464, 3.26222495894, 111590.28815789679],
[0.460, 5.34048307893, 46848.33017476560],
[0.550, 5.84636069235, 25619.93815121980],
[0.447, 3.57688571640, 1066.49547719000],
[0.550, 6.22077946049, 51123.53789995999],
[0.596, 0.64492352990, 339142.74084046460],
[0.484, 3.16177806139, 38519.94579197200],
[0.441, 0.67395966884, 1052.26838318840],
[0.477, 0.22606306742, 71025.03383312259],
[0.423, 2.08215220948, 76144.94556434419],
[0.472, 3.35508518254, 35191.81013569180],
[0.418, 3.57908956341, 52329.58509363319],
[0.441, 4.91196768491, 78050.41032928458],
[0.440, 4.47866581814, 183724.70054311279],
[0.435, 1.98197259533, 26094.53170047421],
[0.564, 5.45416215614, 78244.03966382280],
[0.540, 2.87570725847, 181555.94006083018],
[0.450, 6.09063658976, 93028.94846799239],
[0.461, 3.82361162048, 143961.26714946239],
[0.408, 3.34314470563, 52022.02747266360],
[0.412, 2.07516355558, 150866.08680029298],
[0.435, 5.12507754577, 26081.27458267419],
[0.409, 0.56822912556, 64607.84893354619],
[0.388, 4.16039183226, 78259.82808936459],
[0.393, 3.23715146834, 13655.86049117640],
[0.375, 5.33297275541, 26011.63707029860],
[0.467, 5.77388878977, 90829.86112470538],
[0.350, 5.62301652558, 71492.99882347698],
[0.352, 3.27694758804, 26727.80042788820],
[0.350, 3.39302729957, 141762.17980617538],
[0.390, 2.58800166779, 78267.59076008058],
[0.365, 3.19925143022, 52099.54021187280],
[0.433, 1.55185163390, 20760.42703319140],
[0.327, 5.69228054184, 12432.04265039780],
[0.339, 1.58088572820, 45494.58142974879],
[0.338, 2.73161573173, 155997.72788435058],
[0.315, 4.00061444247, 78477.00852016058],
[0.435, 0.36408526333, 114564.89811250778],
[0.344, 5.02616143626, 78256.59587772179],
[0.346, 4.14121333484, 111122.32316754239],
[0.286, 5.40513646014, 6681.22485339960],
[0.283, 3.65516534367, 76.26607127560],
[0.325, 4.30412080460, 124156.43985787958],
[0.364, 2.32771554672, 84546.78527471398],
[0.331, 0.76882559900, 188276.65404017159],
[0.267, 3.81778097058, 19406.67828817460],
[0.270, 6.02010732963, 78114.14622758799],
[0.273, 3.66726180240, 129483.91596626239],
[0.263, 0.18743596408, 77197.21394753258],
[0.268, 3.25051884036, 131498.89763806018],
[0.284, 1.93848296863, 76044.95232053580],
[0.295, 5.53951004419, 130969.20667296558],
[0.335, 5.92048177497, 146314.13330323418],
[0.246, 1.45343047775, 78270.82297172339],
[0.259, 3.08241704780, 77211.44104153418],
[0.253, 2.86398164134, 121335.60871375339],
[0.338, 3.95823396010, 78690.30761559859],
[0.317, 3.98138369220, 79852.78232000639],
[0.232, 4.66776441683, 28206.66700195260],
[0.247, 1.40414696612, 181505.94343892598],
[0.228, 0.25677390582, 103711.71527998279],
[0.219, 4.69799359762, 71582.48457132299],
[0.221, 4.46394113791, 81706.28436968799],
[0.254, 1.43735157085, 5327.47610838280],
[0.199, 5.76674433704, 157483.01859105378],
[0.253, 2.47481215159, 72936.23331633979],
[0.191, 4.17749403686, 134991.46920492980],
[0.246, 5.21552773120, 178063.36849396059],
[0.182, 4.31488794636, 104371.28232719658],
[0.206, 1.62004139707, 106570.36967048359],
[0.234, 2.18979921440, 100909.03762133139],
[0.176, 3.58325574282, 48835.19385644859],
[0.188, 2.58568452037, 51707.84129279399],
[0.177, 1.89461095130, 52169.17772424839],
[0.168, 3.01264496377, 23754.70674870219],
[0.222, 4.35573235377, 52643.77127350280],
[0.169, 5.25194313253, 102232.84870591838],
[0.188, 5.55333225508, 156100.82065856917],
[0.163, 1.72109994467, 104138.31347085879],
[0.205, 5.64507146979, 154938.34595416137],
[0.161, 0.06514575292, 78187.44335344699],
[0.155, 3.29540644622, 97112.93697469679],
[0.152, 1.66425291176, 25654.19140369739],
[0.179, 2.20248310353, 104331.94280539699],
[0.157, 5.91615237188, 51742.09454527159],
[0.176, 5.03409571975, 52182.43484204840],
[0.145, 0.34814763869, 78417.48823520739],
[0.151, 0.84016182050, 26237.46633870879],
[0.143, 0.36102957131, 27154.39861876420],
[0.142, 5.87490895177, 26037.90651966999],
[0.167, 4.43520444137, 25668.41849769900],
[0.137, 2.85089329350, 119116.85160956658],
[0.161, 5.91020381915, 207643.84320240439],
[0.130, 6.26801612444, 137678.19129947099],
[0.130, 0.93376066695, 433.71173787680],
[0.140, 1.22522976768, 26137.89976347840],
[0.144, 4.56326656247, 419.48464387520],
[0.145, 2.53141564902, 116917.76426627958],
[0.145, 3.74606280935, 27140.17152476259],
[0.155, 3.65976494728, 365230.64398203877],
[0.124, 0.92716868075, 104347.73123093879],
[0.140, 0.11287334170, 78109.93061423779],
[0.126, 1.13823138141, 51322.60990139639],
[0.146, 3.25675289634, 3340.61242669980],
[0.122, 5.10611624534, 176953.98994186718],
[0.125, 5.63666753628, 104355.49390165479],
[0.155, 2.30861381490, 51756.32163927320],
[0.136, 3.41914767255, 140652.80125408198],
[0.115, 6.25299482333, 39743.76363275060],
[0.113, 0.79353194356, 7994.52844202420],
[0.126, 0.12477487369, 52815.70356946240],
[0.121, 0.68099507149, 50483.64061364600],
[0.118, 0.87294905519, 137210.22630911658],
[0.112, 2.41390426449, 97580.90196505119],
[0.130, 1.22267912068, 209812.60368468694],
[0.110, 3.15687226733, 25234.70675982219],
[0.109, 2.85465805569, 24395.73747207180],
[0.108, 5.73587160710, 853.19638175200],
[0.141, 4.76875897743, 28421.09953444620],
[0.143, 0.57659923971, 170049.17029103660],
[0.127, 5.39590556187, 110634.68841628819],
[0.110, 0.79294568581, 104564.91166173479],
[0.103, 5.77115680934, 182085.63102592478],
[0.108, 0.78147749534, 42153.96900304900],
[0.101, 6.24176236571, 1692.16566950240],
[0.125, 1.72822604057, 104344.49901929598],
[0.112, 1.53691309669, 18093.37469954999],
[0.100, 6.03656277681, 147423.51185532758],
[0.102, 2.16777222106, 32769.12799497380],
[0.127, 5.69552946334, 44181.27784112419],
[0.096, 2.81662615895, 104202.04936916218],
[0.094, 6.16378269144, 103299.34418310839],
[0.095, 3.08582674985, 70269.18098269838],
[0.096, 3.26682732105, 103285.11708910679],
[0.101, 1.49832461293, 40565.25432477420],
[0.099, 0.11817727117, 167850.08294774959],
[0.099, 3.80154992347, 214364.55718174577],
[0.093, 3.27120904242, 90695.75207512038],
[0.104, 5.35405285854, 126996.94076290558],
[0.105, 0.73008875321, 104778.21075717278],
[0.089, 2.82753100547, 50579.61984086379],
[0.098, 0.55393078868, 33967.99229491319],
[0.087, 1.47928882834, 97670.38771289718],
[0.117, 0.17401840597, 61279.71327726600],
[0.089, 0.41552735762, 26164.16921284980],
[0.091, 2.28447351962, 157057.10981453978],
[0.103, 2.67784306575, 172402.03644480839],
[0.084, 4.31852113132, 60055.89543648739],
[0.085, 4.50666554965, 104358.72611329758],
[0.098, 0.74967522191, 105940.68546158058],
[0.082, 2.80078395016, 52101.02468458109],
[0.086, 0.38069361609, 74923.09699802278],
[0.077, 4.91602955543, 24491.71669928959],
[0.104, 6.08692240129, 10021.83728009940],
[0.094, 2.21754829180, 25973.46385288896],
[0.079, 4.63574888508, 2333.19639287200],
[0.076, 0.06676607630, 157586.80077963436],
[0.076, 4.09119863738, 1596.18644228460],
[0.089, 0.51926466594, 50593.84693486539],
[0.078, 5.85412082904, 18207.81398823521],
[0.083, 1.48347794862, 54294.57014352679],
[0.102, 1.11648927836, 150244.34299945380],
[0.081, 0.43168464249, 155571.81910783658],
[0.071, 2.77560894834, 77829.99768684579],
[0.098, 3.04617186486, 16066.06586147480],
[0.089, 3.91487126164, 68241.87214462319],
[0.076, 3.32839538947, 129799.61842155698],
[0.091, 4.99146967087, 102132.85546210999],
[0.088, 4.54401955709, 51543.02254383520],
[0.092, 4.88825714860, 26202.34243025941],
[0.066, 1.97272013972, 632.78373931320],
[0.066, 1.34921841483, 52808.59002246159],
[0.071, 1.21551241620, 107794.18751126219],
[0.088, 3.90671333341, 74.78159856730],
[0.076, 1.11684262920, 78731.67441507700],
[0.060, 4.94665488683, 78257.08086582259],
[0.067, 4.24719146625, 14477.35118320000],
[0.069, 5.46721744006, 77844.22478084739],
[0.059, 2.80000354604, 25863.55834587229],
[0.060, 4.23924716288, 52225.80290505260],
[0.059, 5.90340687048, 103.09277421860],
[0.059, 3.81127888964, 76571.54375522019],
[0.060, 5.62072757879, 77795.74443436819],
[0.069, 4.36673018646, 207593.84658050019],
[0.066, 0.49890308433, 51951.46148744649],
[0.058, 1.63810168022, 51013.33157874059],
[0.058, 4.28286858594, 77410.51304297059],
[0.066, 0.61313044187, 51639.00177105299],
[0.057, 3.15657420172, 104275.34649502118],
[0.058, 4.41262101447, 26720.68688088739],
[0.075, 0.13973480485, 1581.95934828300],
[0.057, 0.41985749035, 23439.44831610119],
[0.069, 6.04001555481, 29428.51556827400],
[0.055, 0.87548003173, 161079.37234650398],
[0.054, 2.10504641371, 2648.45482547300],
[0.070, 1.90064683191, 204151.27163553477],
[0.054, 3.73359360369, 24925.42843716640],
[0.055, 4.74493087072, 49527.35145767539],
[0.071, 2.67007207774, 24505.94379329119],
[0.057, 1.10422154948, 130459.18546877075],
[0.068, 5.29164108644, 26013.12154300690],
[0.054, 0.06047544079, 52072.71350892979],
[0.053, 0.06419360550, 536.80451209540],
[0.053, 5.00852687358, 25977.69682035479],
[0.052, 4.17403886040, 25131.61398560359],
[0.052, 3.31036935415, 7880.08915333899],
[0.070, 6.10702300469, 52278.89905736699],
[0.059, 1.97971323674, 51219.51712717779],
[0.052, 0.17883872581, 224.34479570190],
[0.057, 2.64616122722, 52125.80966124419],
[0.051, 2.51127480556, 183570.92173262799],
[0.050, 4.67814206741, 130226.21661243298],
[0.050, 4.77326024770, 25780.34552060460],
[0.053, 2.81579181250, 55516.41870984820],
[0.057, 2.13355985608, 128320.75184749259],
[0.049, 2.32162107938, 26395.46076254379],
[0.049, 4.96049794937, 956.28915597060],
[0.047, 4.20636709156, 52250.58788171570],
[0.058, 2.23088591593, 52065.59996192899],
[0.048, 5.31209962934, 1162.47470440780],
[0.062, 6.11793881000, 22747.29071487440],
[0.051, 5.16823572193, 130419.84594697120],
[0.058, 1.50494628165, 54509.00267602040],
[0.060, 0.43836944868, 116783.65521669458],
[0.059, 1.50474668065, 26507.38778544939],
[0.047, 3.28426374672, 25565.32572348040],
[0.056, 2.45288584577, 181026.24909573558],
[0.051, 3.46813929041, 53242.30176033840],
[0.045, 0.64303440167, 52698.38370124219],
[0.049, 0.43622928396, 27999.10262479140],
[0.046, 0.93537805397, 26162.68474014150],
[0.043, 5.95311422864, 76667.52298243798],
[0.060, 1.79764830651, 78270.33798362259],
[0.056, 2.27809233545, 182188.72380014337],
[0.043, 3.95909386803, 26521.61487945100],
[0.043, 2.06740816154, 51859.41441349179],
[0.051, 5.31772214752, 66653.15746634839],
[0.044, 1.68470111077, 23888.81579828719],
[0.054, 3.94217571152, 52325.36948028299],
[0.043, 5.13864955940, 11610.55195837420],
[0.042, 4.61363107691, 52492.19815280499],
[0.046, 3.39633739377, 104505.39137678158],
[0.046, 4.83387098498, 110.20632121940],
[0.045, 3.54092987543, 50800.03248330259],
[0.041, 5.69167231584, 24712.12934172840],
[0.040, 0.05181171325, 123200.84011627098],
[0.053, 0.61042891791, 53228.07466633679],
[0.039, 3.11194295827, 25984.81036735560],
[0.046, 2.53528410360, 50696.93970908399],
[0.038, 4.44293961717, 29416.03879785439],
[0.041, 2.66264705448, 233731.74634397859],
[0.037, 3.37388547918, 1375.77379984580],
[0.038, 5.61891042604, 143005.66740785379],
[0.037, 5.42828179354, 28286.99048486120],
[0.049, 5.33653478407, 99024.13645791399],
[0.040, 5.63484527365, 522.57741809380],
[0.039, 3.40419666656, 25551.09862947879],
[0.036, 5.94925007197, 145204.75475114078],
[0.038, 2.07740095188, 153084.84390447979],
[0.039, 3.20021878147, 163766.09444104519],
[0.037, 5.22659089943, 52595.29092702359],
[0.042, 4.90625897857, 25771.51127191760],
[0.041, 2.99128318097, 26190.99591579279],
[0.044, 1.11685231827, 26404.29501123080],
[0.045, 4.61987657347, 132658.27281205778],
[0.037, 0.21788276252, 166740.70439565618],
[0.034, 1.94222980062, 203041.89308344139],
[0.045, 3.16157322891, 104197.83375581198],
[0.046, 4.46372826281, 316.39186965660],
[0.039, 2.02681719442, 136722.59155786238],
[0.034, 1.34191646454, 467.96499035440],
[0.043, 3.34582658464, 78903.60671103658],
[0.039, 3.65232351757, 196137.07343261078],
[0.037, 0.37289111380, 391318.54712361295],
[0.037, 2.88378512797, 36109.74042167360],
[0.037, 1.66197775716, 52290.24557183361],
[0.036, 3.91856090884, 54087.00576636560],
[0.034, 0.07777074766, 26294.08869001139],
[0.033, 2.57658065167, 26941.09952332620],
[0.034, 1.66706631543, 49842.60989027639],
[0.042, 3.65143192554, 76681.75007643958],
[0.032, 4.02685079656, 24356.78078864160],
[0.041, 3.48117117726, 26610.48055966799],
[0.040, 1.30798263894, 77630.92568540938],
[0.033, 3.31591322468, 65831.66677432480],
[0.042, 4.68305225464, 24609.03656750980],
[0.034, 2.43308912753, 26421.75908234360],
[0.031, 0.55207634036, 13362.44970679920],
[0.031, 3.97168176907, 130435.63437251298],
[0.035, 5.90195011358, 78188.92782615528],
[0.032, 5.58275762493, 25881.71759313700],
[0.032, 3.03394602316, 27780.06881107659],
[0.038, 4.61602478200, 130432.40216087017],
[0.031, 5.37268049479, 75930.51303185058],
[0.034, 4.68006477569, 25754.04720080480],
[0.030, 2.76917399150, 173511.41499690176],
[0.037, 4.37537497770, 1478.86657406440],
[0.030, 2.69970929614, 208173.53416749899],
[0.029, 2.28199342452, 130443.39704322898],
[0.039, 4.04390928499, 34282.17847478280],
[0.033, 1.47153495142, 55503.94193942859],
[0.029, 3.09374594552, 27819.02549450680],
[0.030, 2.30968283835, 26624.70765366959],
[0.035, 2.18534594257, 22759.76748529401],
[0.027, 0.63624513172, 240452.46032331997],
[0.035, 5.40588312340, 58857.03113654799],
[0.028, 5.46904052697, 123668.80510662538],
[0.028, 3.82629644574, 130866.11389874699],
[0.027, 3.91273567728, 163298.12945069079],
[0.032, 3.55783772742, 52252.07235442399],
[0.036, 5.26852179816, 52061.36699446317],
[0.027, 0.81868301401, 25455.11940226100],
[0.030, 6.23608007707, 24176.70365835700],
[0.025, 1.48874402537, 60370.08161635699],
[0.027, 4.41957053501, 78896.49316403578],
[0.025, 3.33404428554, 206.18554843720],
[0.025, 2.22580879047, 12725.45343477500],
[0.025, 5.37774707105, 183145.01295611399],
[0.026, 3.83674753452, 132028.58860315479],
[0.025, 2.93605355840, 129387.24732468258],
[0.025, 5.86161454740, 130289.95251073639],
[0.024, 4.03572089813, 26089.38761428249],
[0.024, 3.09138745629, 26086.41866886590],
[0.024, 1.40452977850, 25446.48957983520],
[0.033, 3.35253473958, 193937.98608932379],
[0.024, 4.81342275570, 27311.72098235281],
[0.024, 2.36840229716, 25440.89230825939],
[0.024, 2.60590286552, 125112.03959948818],
[0.027, 2.64006708171, 44295.71712980940],
[0.029, 3.85906422319, 130652.81480330898],
[0.033, 4.26007262410, 235900.50682626115],
[0.026, 3.37356285012, 87367.61641884019],
[0.024, 3.83432680564, 52381.99183158559],
[0.027, 4.14811634858, 176332.24614102798],
[0.023, 0.19227535404, 647.01083331480],
[0.025, 0.03897225418, 129373.02023068098],
[0.023, 5.73072631591, 26729.31670331319],
[0.026, 2.78110886808, 64901.25971792339],
[0.028, 6.14191568069, 38813.35657634920],
[0.025, 5.64677901976, 198489.93958638259],
[0.022, 2.47489263310, 24864.08530079559],
[0.023, 4.26682241390, 26222.01219115920],
[0.024, 4.52962335246, 123758.29085447139],
[0.023, 2.88962909157, 25953.79409198919],
[0.028, 4.67408679361, 80382.47328510099],
[0.021, 2.19925857864, 23866.04650697719],
[0.025, 0.81737451667, 94329.77528619739],
[0.021, 5.56863005528, 52712.61079524379],
[0.021, 0.94657470314, 27684.08958385880],
[0.023, 1.24923754668, 130446.62925487179],
[0.022, 1.55521175306, 24998.19435038059],
[0.024, 3.25930776298, 27669.86248985719],
[0.021, 3.16657819785, 183674.70392120857],
[0.020, 1.45970914613, 75615.25459924959],
[0.028, 2.65124448902, 78366.80219894118],
[0.021, 2.85719729554, 78160.61665050399],
[0.022, 0.14164137879, 51528.79544983359],
[0.022, 1.54435105177, 158746.17595363196],
[0.019, 1.95606380894, 25344.91308104160],
[0.019, 3.62491058376, 78039.36462902068],
[0.019, 2.59809360557, 17893.62780836560],
[0.019, 5.86487152937, 103917.90082841998],
[0.019, 5.07516493363, 230239.17477710897],
[0.023, 1.73809221823, 128220.75860368418],
[0.018, 3.70453311537, 77726.90491262719],
[0.020, 5.58951443277, 27177.61193276780],
[0.019, 2.26298959398, 103932.12792242158],
[0.018, 5.26103373994, 28736.35796704720],
[0.018, 4.77075669731, 77101.23472031478],
[0.019, 4.18613339997, 104819.57755665119],
[0.019, 3.72825596269, 31415.37924995700],
[0.018, 5.11985094325, 77307.42026875199],
[0.019, 1.61447515906, 51653.22886505459],
[0.022, 3.45569006244, 101011.00013959699],
[0.017, 3.34823797519, 23919.14265929160],
[0.017, 0.84289136609, 86143.79857806159],
[0.018, 0.81997628030, 26073.67604757259],
[0.020, 0.96632907921, 52609.51802102519],
[0.016, 1.27839838984, 51868.24866217880],
[0.020, 0.07187923898, 155887.52156313116],
[0.018, 5.44524309894, 25508.21555457540],
[0.016, 0.62722455150, 102659.44689679438],
[0.016, 0.52102795891, 2221.85663459700],
[0.017, 3.93009669878, 51852.30086649099],
[0.016, 5.74180318220, 96357.08412427259],
[0.019, 5.09029341511, 118828.96374949679],
[0.017, 2.59947793429, 24448.83362438620],
[0.016, 5.52244950928, 2199.08734328700],
[0.015, 3.36667960581, 1911.19948321720],
[0.021, 3.53223071778, 181659.72224941078],
[0.019, 1.29524947399, 233681.74972207437],
[0.016, 1.11236515889, 103498.41618454478],
[0.020, 3.19274792861, 51969.62073471119],
[0.017, 3.27645001526, 26312.24793727610],
[0.016, 5.54159968247, 207114.15223730978],
[0.015, 2.75565944373, 26709.64694241340],
[0.015, 1.72732606714, 104344.98400739678],
[0.016, 5.31828785394, 78153.50310350319],
[0.016, 1.13565154505, 742.99006053260],
[0.015, 6.19247438386, 130363.24963659538],
[0.015, 1.16646378812, 92741.06060792258],
[0.015, 4.39941321864, 25466.15934073500],
[0.014, 1.03341872997, 78313.70604662679],
[0.016, 1.77081422797, 27044.19229754480],
[0.016, 1.77854347809, 26667.59072857300],
[0.014, 2.39782698608, 103883.64757594238],
[0.019, 6.27226219255, 25764.39772491679],
[0.014, 1.89621592736, 37698.45509994840],
[0.014, 5.86393829627, 81604.32185142238],
[0.015, 2.41952075336, 27250.37784598199],
[0.017, 5.62378615870, 51432.81622261579],
[0.014, 0.57479381854, 8194.27533320860],
[0.014, 2.01915873640, 156507.74908854539],
[0.014, 4.00033644851, 187167.27548807819],
[0.016, 3.05516572588, 22625.65843570900],
[0.014, 0.41333257896, 76887.93562487679],
[0.014, 3.81333935444, 28256.66362385679],
[0.016, 5.63829774136, 209658.82487420217],
[0.017, 2.79674558169, 323.50541665740],
[0.015, 4.52292533775, 27726.97265876220],
[0.017, 1.61686538851, 26198.10946279360],
[0.017, 4.28628662370, 133882.09065283637],
[0.013, 1.02936352404, 25867.49049913539],
[0.014, 5.57651447296, 2008.55753915900],
[0.014, 1.55161726953, 156314.11975400720],
[0.017, 6.07989986315, 49953.94964855139],
[0.015, 4.87081069542, 104358.24112519680],
[0.013, 3.77228393975, 19.66976089979],
[0.015, 5.41429733370, 208276.62694171758],
[0.013, 1.15273910706, 949.17560896980],
[0.017, 4.64614224273, 112231.70171963578],
[0.015, 5.32485053265, 154408.65498906677],
[0.013, 4.02426203972, 417406.45026518719],
[0.013, 2.83441937048, 25169.97285559240],
[0.016, 3.55004561005, 86457.98475793119],
[0.014, 3.36717179008, 12546.48193908300],
[0.013, 0.99900287294, 78338.49102328988],
[0.012, 3.72935261349, 78786.28684281638],
[0.013, 4.55769261775, 80596.90581759460],
[0.013, 3.68794178346, 79315.97780791098],
[0.014, 4.16918945992, 156547.08861034497],
[0.012, 3.12295185577, 149288.74325784517],
[0.012, 2.69822851627, 153.77881048480],
[0.012, 4.38117483432, 27005.83342755599],
[0.012, 0.19322533903, 27463.67694142000],
[0.014, 4.15127082280, 29550.14784743939],
[0.012, 2.80411772823, 102755.42612401219],
[0.011, 5.82734448081, 259819.64948555277],
[0.011, 2.40607503106, 169093.57054942797],
[0.012, 0.49737747696, 102769.65321801379],
[0.014, 5.69923121834, 76784.84285065818],
[0.012, 5.56466695759, 26402.08932144380],
[0.012, 1.48301102812, 78580.10129437919],
[0.011, 5.15388067065, 77947.31755506598],
[0.011, 1.64586759073, 25773.71696170459],
[0.011, 2.45779334771, 34082.43158359840],
[0.014, 2.00354520885, 846.08283475120],
[0.013, 0.71980668578, 78413.27262185719],
[0.011, 5.17906120193, 162810.49469943656],
[0.011, 2.73596940194, 171292.65789271498],
[0.011, 5.59141622457, 24203.00197815680],
[0.011, 0.45608202666, 2111.65031337760],
[0.010, 3.29404880642, 192828.60753723036],
[0.010, 0.45857052500, 222224.97657418498],
[0.013, 5.70684493376, 78213.71280281838],
[0.011, 4.37474459591, 103718.82882698359],
[0.011, 0.63918585951, 26118.23000257860],
[0.013, 5.83092856998, 26411.40855823160],
[0.010, 5.45367935399, 52483.36390411799],
[0.010, 4.70344741563, 2125.87740737920],
[0.011, 0.28816338163, 26057.57628056979],
[0.010, 5.57764903480, 151199.94274106238],
[0.011, 0.03362968403, 104991.50985261079],
[0.010, 3.71565881071, 148532.89040742096],
[0.013, 0.25119201649, 79330.20490191258],
[0.010, 6.23763004539, 128106.31931499895],
[0.011, 6.23138757669, 130285.73689738619],
[0.013, 3.60703035316, 39629.32434406539],
[0.011, 2.08623018213, 78683.19406859778],
[0.011, 2.89478268807, 122444.98726584678],
[0.011, 1.47224457688, 156520.30530244438],
[0.012, 0.18308102701, 130593.29451835579],
[0.009, 5.24611723729, 138319.60486120995],
[0.009, 5.64920582852, 1265.56747862640],
[0.009, 6.25551575071, 53906.92863608099],
[0.011, 3.36985744471, 142871.55835826878],
[0.009, 5.47085206361, 156531.30018480320],
[0.009, 4.79150958411, 101703.15774082378],
[0.009, 2.73233240797, 38.13303563780],
[0.009, 5.91954900221, 62197.64356324779],
[0.009, 4.73154570336, 78378.14871340781],
[0.011, 0.80389582741, 3328.13565628019],
[0.009, 6.25489842872, 91919.56991589899],
[0.009, 5.87197255624, 199599.31813847594],
[0.009, 0.76033087382, 156523.53751408719],
[0.008, 0.63159267832, 80174.90890793978],
[0.009, 5.02352759781, 229129.79622501557],
[0.008, 2.63272452796, 25138.72753260440],
[0.008, 0.59154768044, 156954.01704032117],
[0.008, 3.95681232703, 120417.67842777158],
[0.008, 3.46882638388, 77616.69859140778],
[0.008, 0.20349823136, 113455.51956041438],
[0.008, 0.21724719953, 13541.42120249119],
[0.008, 1.77719128692, 26076.85744131030],
[0.009, 6.21878690440, 189853.99758261937],
[0.007, 5.88768146200, 51226.63067417859],
[0.007, 0.61161547244, 158116.49174472899],
[0.008, 2.05860519043, 78149.27013603736],
[0.007, 0.09500184933, 90989.16285949759],
[0.007, 0.56541937862, 25985.94062330859],
[0.007, 0.73212945216, 78469.89497315978],
[0.007, 0.44088896603, 104127.26777059489],
[0.008, 5.86653927002, 104454.70534051539],
[0.007, 0.70585294359, 52177.29075585669],
[0.009, 1.96929942879, 1272.68102562720],
[0.010, 2.72173324175, 104276.83096772949],
[0.007, 5.16315798030, 26189.86565983980],
[0.007, 5.17079740730, 179172.74704605396],
[0.008, 5.26981396126, 48847.67062686820],
[0.008, 0.19880797043, 1.48447270830],
[0.007, 6.26371276121, 52174.32181044009],
[0.008, 0.98956493578, 16703.06213349900],
[0.007, 0.08448723866, 26098.94884183810],
[0.008, 5.67030179581, 53029.00266490040],
[0.007, 1.15333561308, 261988.40996783535],
[0.007, 0.70724943755, 65717.22748563958],
[0.007, 0.52800551865, 103814.80805420138],
[0.008, 2.25202792521, 149756.70824819960],
[0.007, 1.45586274187, 51841.95034237900],
[0.007, 2.28027029168, 54374.89362643540],
[0.007, 1.96795602434, 103395.32341032618],
[0.007, 0.91100826202, 27972.80430499159],
[0.007, 6.04142381509, 155475.15046625677],
[0.008, 0.66187102958, 156740.71794488319],
[0.007, 0.94700216301, 202420.14928260216],
[0.008, 0.34397341638, 78339.97549599818],
[0.008, 1.99164711035, 84944.93427812219],
[0.006, 3.16647388859, 76041.85279012559],
[0.007, 1.18920934641, 104984.39630560997],
[0.007, 6.12812258419, 53867.97195265079],
[0.007, 2.68832841048, 156377.85565231059],
[0.007, 4.82261895829, 52286.01260436779],
[0.006, 2.12110075547, 148.07872442630],
[0.006, 3.05937939252, 151.04766984290],
[0.007, 0.09315209734, 220025.88923089797],
[0.008, 5.56250511075, 52509.66222391780],
[0.006, 2.57622376266, 224577.84272795677],
[0.007, 2.65171386195, 220.41264243880],
[0.006, 2.00091220299, 102018.41617342478],
[0.007, 0.86158158633, 50444.68393021580],
[0.007, 1.61990482140, 103189.13786188899],
[0.006, 2.68512587119, 77520.71936418998],
[0.006, 4.82671721903, 154308.66174525840],
[0.006, 2.40727316051, 78800.51393681798],
[0.006, 5.66286619587, 234261.43730907317],
[0.007, 1.38238075345, 106470.37642667518],
[0.007, 4.62193558950, 81591.84508100279],
[0.007, 0.26927581545, 127098.90328117118],
[0.006, 0.92172283144, 57503.28239153120],
[0.006, 5.39808870469, 130020.03106399579],
[0.006, 2.52761413373, 52817.21984488739],
[0.006, 0.06817978613, 53757.76563143139],
[0.007, 3.13547312140, 155460.92337225520],
[0.005, 2.17501494391, 209232.91609768817],
[0.005, 2.16759656006, 104241.40624507738],
[0.006, 2.68409858369, 130005.80396999417],
[0.005, 1.58914721681, 50167.24874398939],
[0.005, 1.01687539089, 55638.05098901359],
[0.007, 1.31888655444, 149846.19399604559],
[0.005, 2.48117306579, 9384.84100807520],
[0.005, 3.70948655428, 266540.36346489412],
[0.007, 5.71513815276, 70383.62027138360],
[0.006, 4.55015130253, 51955.39364070959],
[0.005, 3.51602263966, 102975.83876645098],
[0.005, 3.69945557546, 39450.35284837340],
[0.005, 3.98232048303, 53771.99272543299],
[0.006, 1.01394190869, 77940.20400806518],
[0.005, 2.50588363651, 102872.74599223239],
[0.007, 3.01244944080, 50264.60679993120],
[0.006, 0.45316437598, 50064.15596977079],
[0.007, 6.03933985106, 1485.98012106520],
[0.005, 1.35734487293, 53814.87580033639],
[0.005, 4.43939776623, 51534.39272140940],
[0.005, 2.29075654159, 61560.64729122359],
[0.005, 0.07896316759, 78057.52387628538],
[0.005, 0.95484155225, 130907.48069822539],
[0.005, 1.56485117164, 53399.62412392700],
[0.005, 4.55586232099, 52137.67324751059],
[0.006, 4.34778590755, 156534.53239644598],
[0.005, 3.72691818970, 128747.35003836859],
[0.004, 0.56386565513, 189386.03259226496],
[0.004, 2.67910077904, 107692.22499299659],
[0.006, 6.10947724529, 104248.51979207818],
[0.004, 3.99859010561, 104401.60918820098],
[0.004, 0.51280078907, 54344.56676543099],
[0.005, 4.19917665740, 129586.31932611899],
[0.004, 5.91763059229, 52041.69723356339],
[0.005, 3.18633834950, 181975.42470470539],
[0.005, 0.99354989216, 1795.25844372100],
[0.004, 6.20030341798, 209762.60706278277],
[0.004, 4.57601261459, 184834.07909520617],
[0.006, 4.81632935419, 77741.13200662879],
[0.004, 2.32553366031, 53265.51507434200],
[0.004, 4.83867556795, 52755.49387014719],
[0.004, 0.47379105299, 105403.88094948517],
[0.004, 2.62000942355, 50049.92887576919],
[0.005, 1.01847704961, 52309.91533273340],
[0.004, 5.12416312887, 52027.72755872209],
[0.004, 0.26524339921, 50007.04580086580],
[0.005, 0.30725353996, 207747.62539098499],
[0.004, 4.93794243881, 63786.35824152260],
[0.004, 4.51168915835, 77956.15180375299],
[0.005, 1.16733741695, 27566.76971563859],
[0.004, 3.77703754152, 104501.17576343138],
[0.004, 5.44859511930, 129971.55071751658],
[0.005, 5.22593130125, 51329.72344839720],
[0.004, 1.64237114391, 130446.14426677099],
[0.004, 1.28513103275, 112545.88789950538],
[0.004, 3.50115780256, 76152.05911134499],
[0.004, 4.79032272131, 130432.88714897096],
[0.004, 5.62786746084, 43981.53094993980],
[0.004, 4.12687975050, 52024.75861330549],
[0.004, 5.13202982684, 735.87651353180],
[0.004, 4.64327471216, 76255.15188556358],
[0.004, 1.34781477964, 106684.80895916879],
[0.004, 2.34997151211, 177287.84588263658],
],
# B1
[
[429151.362, 3.50169780393, 26087.90314157420],
[146233.668, 3.14159265359, 0.00000000000],
[22675.295, 0.01515366880, 52175.80628314840],
[10894.981, 0.48540174006, 78263.70942472259],
[6353.462, 3.42943919982, 104351.61256629678],
[2495.743, 0.16051210665, 130439.51570787099],
[859.585, 3.18452433647, 156527.41884944518],
[277.503, 6.21020774184, 182615.32199101939],
[86.233, 2.95244391822, 208703.22513259359],
[26.133, 5.97708962692, 234791.12827416777],
[27.696, 0.29068938889, 27197.28169366760],
[12.831, 3.37744320558, 53285.18483524180],
[12.720, 0.53792661684, 24978.52458948080],
[7.781, 2.71768609268, 260879.03141574195],
[7.527, 3.58305121268, 51066.42773105500],
[6.183, 2.92383205004, 31749.23519072640],
[5.453, 1.97318763801, 51116.42435295920],
[3.394, 0.34761695275, 77154.33087262919],
[3.481, 0.10739761667, 79373.08797681599],
[2.932, 5.95430013169, 57837.13833230060],
[2.742, 0.98758439378, 25028.52121138500],
[2.126, 4.16352818018, 47623.85278608960],
[2.286, 5.74036496396, 286966.93455731618],
[2.380, 4.00213666550, 21535.94964451540],
[1.651, 4.43606584681, 27043.50288318280],
[1.523, 1.97926797181, 5661.33204915220],
[1.518, 5.01636479848, 77204.32749453338],
[1.398, 0.66375029294, 20426.57109242200],
[1.345, 3.39193943388, 103242.23401420339],
[1.297, 5.34251327744, 37410.56723987860],
[1.076, 0.95624460335, 50586.73338786459],
[1.050, 3.00944151152, 26107.57290247399],
[0.918, 1.89988871166, 1059.38193018920],
[1.063, 1.28486292967, 53131.40602475700],
[0.905, 3.34776562702, 25558.21217647960],
[0.929, 4.81159652409, 51646.11531805379],
[0.782, 6.08817839271, 529.69096509460],
[0.783, 1.50962699410, 41962.52073693740],
[0.794, 2.16868396183, 63498.47038145279],
[0.731, 0.92148918837, 73711.75592766379],
[0.755, 4.10910637390, 26068.23338067440],
[0.703, 2.22466530621, 10213.28554621100],
[0.922, 2.30268247092, 1109.37855209340],
[0.739, 3.05842748947, 105460.99111839019],
[0.681, 1.40695567526, 51749.20809227239],
[0.841, 5.93206787810, 26084.02180621620],
[0.616, 5.95368982430, 39609.65458316560],
[0.610, 2.96796433797, 25132.30339996560],
[0.721, 1.16472614778, 46514.47423399620],
[0.638, 1.16941585214, 26091.78447693220],
[0.633, 3.07427024064, 30639.85663863300],
[0.665, 2.47994200156, 313054.83769889036],
[0.669, 4.10310179631, 72602.37737557039],
[0.495, 0.14776350456, 129330.13715577759],
[0.474, 2.61466823958, 32858.61374281979],
[0.470, 5.04436148211, 13521.75144159140],
[0.494, 0.07430556450, 28306.66024576099],
[0.459, 5.81611579004, 51220.20654153979],
[0.467, 5.56622114735, 4551.95349705880],
[0.433, 2.10197184422, 24498.83024629040],
[0.430, 3.91046377635, 76674.63652943878],
[0.436, 1.46213785727, 43071.89928903080],
[0.383, 6.05537830853, 52195.47604404819],
[0.335, 0.55996605330, 23869.14603738740],
[0.369, 4.43217995206, 22645.32819660879],
[0.329, 2.59508442112, 65697.55772473979],
[0.346, 2.03170085305, 27147.28507176339],
[0.424, 0.29775934661, 1589.07289528380],
[0.378, 5.09810178577, 53235.18821333759],
[0.308, 3.30225015955, 54394.56338733519],
[0.314, 2.40932519602, 83925.04147387479],
[0.364, 5.87784809361, 58946.51688439399],
[0.352, 0.87939481900, 52156.13652224860],
[0.352, 5.92675293084, 25661.30495069820],
[0.310, 2.69873876637, 52171.92494779040],
[0.345, 0.84406679212, 98690.28051714458],
[0.358, 6.14890038263, 56727.75978020720],
[0.248, 2.34396840060, 51535.90899683439],
[0.286, 2.39648280163, 19804.82729158280],
[0.338, 1.55189200325, 52705.49724824299],
[0.239, 3.35169081927, 52168.69273614759],
[0.234, 2.51108507067, 77308.10968311399],
[0.229, 5.16737598091, 36301.18868778519],
[0.245, 4.26996032400, 19317.19254032860],
[0.210, 3.16281965425, 29530.47808653960],
[0.212, 5.33861521612, 15874.61759536320],
[0.291, 4.22929240183, 52179.68761850640],
[0.263, 4.64138649646, 69159.80243060499],
[0.235, 5.08060846802, 59414.48187474840],
[0.251, 1.90047504790, 14765.23904326980],
[0.253, 4.21581970504, 79219.30916633119],
[0.194, 5.05904557922, 51109.31080595839],
[0.188, 3.90664116889, 48733.23133818299],
[0.207, 2.89949362192, 7.11354700080],
[0.179, 4.43018837604, 77837.11123384659],
[0.223, 2.96569885227, 110012.94461544899],
[0.176, 5.15204624857, 89586.37352302698],
[0.215, 4.50903357312, 78793.40038981718],
[0.173, 3.18496771460, 155418.04029735178],
[0.205, 1.89888752382, 79323.09135491178],
[0.175, 2.91183047213, 82815.66292178139],
[0.165, 0.49123694380, 25035.63475838580],
[0.183, 1.42148796836, 77734.01845962799],
[0.158, 3.63030783882, 49957.04917896160],
[0.201, 4.78711687782, 40853.14218484400],
[0.157, 3.02451795123, 52182.91983014920],
[0.192, 5.50218209050, 339142.74084046460],
[0.145, 3.39803928124, 45892.73043315699],
[0.140, 2.64826898848, 16983.99614745660],
[0.190, 3.05043439775, 27676.97603685800],
[0.169, 3.40273824751, 25874.60404613620],
[0.148, 3.87588943419, 124778.18365871879],
[0.134, 0.94930028730, 25021.40766438420],
[0.174, 5.88326736492, 136100.84775702318],
[0.138, 2.34393108627, 1052.26838318840],
[0.163, 6.05484015332, 26080.78959457339],
[0.142, 3.07209103150, 3442.57494496540],
[0.137, 2.10984857727, 426.59819087600],
[0.126, 1.89432609260, 1066.49547719000],
[0.122, 1.04298624291, 45405.09568190280],
[0.135, 4.66414339767, 25448.00585526019],
[0.115, 2.81365851520, 78283.37918562238],
[0.114, 4.47315411813, 68050.42387851159],
[0.134, 5.35393682799, 213.29909543800],
[0.125, 1.61827845372, 129380.13377768178],
[0.158, 5.53788931475, 9103.90699411760],
[0.116, 0.50075235780, 102762.53967101299],
[0.136, 0.24559658100, 50057.04242277000],
[0.124, 2.20590858584, 33326.57873317420],
[0.106, 6.15493608726, 11322.66409830440],
[0.123, 4.43265735200, 639.89728631400],
[0.137, 3.93191153638, 78244.03966382280],
[0.138, 4.46503235172, 51123.53789995999],
[0.119, 3.64440622006, 26617.59410666880],
[0.099, 6.18313188027, 55618.38122811380],
[0.101, 5.52733987069, 103396.01282468818],
[0.107, 4.79994153405, 6770.71060124560],
[0.096, 0.01853371395, 80482.46652890938],
[0.115, 1.57423656512, 66941.04532641819],
[0.111, 1.00588061631, 78267.59076008058],
[0.121, 5.90839328752, 26095.01668857500],
[0.095, 5.74549458142, 78259.82808936459],
[0.100, 1.90676485528, 103292.23063610759],
[0.107, 5.73194510449, 131548.89425996438],
[0.098, 5.49064814924, 77623.81213840858],
[0.112, 0.87682090108, 74821.13447975718],
[0.090, 5.82373560803, 955.59974160860],
[0.093, 0.15279056716, 78256.59587772179],
[0.100, 1.21759895953, 104881.30353139139],
[0.087, 4.20722631983, 12566.15169998280],
[0.088, 5.00176994115, 38519.94579197200],
[0.086, 1.23375034376, 26301.20223701220],
[0.085, 1.88852891739, 77197.21394753258],
[0.082, 3.75652571856, 99799.65906923798],
[0.089, 4.95684147986, 105410.99449648599],
[0.096, 5.10490831351, 52389.10537858640],
[0.075, 2.50722139185, 2218.75710418680],
[0.093, 6.00229475799, 53764.87917843220],
[0.073, 6.11603054445, 78270.82297172339],
[0.091, 4.67762120545, 155468.03691925600],
[0.080, 1.98564256640, 7238.67559160000],
[0.089, 1.62820970873, 6283.07584999140],
[0.073, 5.93728826025, 108903.56606335558],
[0.087, 2.61787684648, 162188.75089859738],
[0.092, 2.55298032665, 85034.42002596818],
[0.076, 4.44230028342, 38654.05484155699],
[0.070, 2.07147354168, 25934.12433108940],
[0.078, 1.79664677749, 23969.13928119580],
[0.068, 2.15267768357, 64607.84893354619],
[0.069, 1.37976390686, 77211.44104153418],
[0.080, 0.75440631101, 2118.76386037840],
[0.060, 5.95179539253, 18849.22754997420],
[0.058, 0.98126270514, 51962.50718771040],
[0.057, 0.63495768344, 150866.08680029298],
[0.063, 0.40577774917, 76044.95232053580],
[0.061, 3.20728040856, 76144.94556434419],
[0.053, 1.34424134476, 51742.09454527159],
[0.052, 4.11944860444, 71492.99882347698],
[0.054, 2.23964604878, 44937.13069154840],
[0.064, 1.19785741966, 64741.95798313119],
[0.058, 6.22316473811, 181505.94343892598],
[0.060, 2.12727479557, 88476.99497093359],
[0.049, 1.76854754615, 13655.86049117640],
[0.049, 1.27506119902, 26727.80042788820],
[0.048, 2.04581990152, 78477.00852016058],
[0.050, 4.62948267835, 93028.94846799239],
[0.055, 5.47526225139, 62389.09182935939],
[0.047, 4.99113735496, 27154.39861876420],
[0.055, 4.79762177368, 94138.32702008578],
[0.051, 5.56459812422, 52602.40447402440],
[0.055, 1.20462687751, 95247.70557217918],
[0.050, 2.21530140501, 365230.64398203877],
[0.049, 0.68636780387, 104331.94280539699],
[0.047, 4.30403626352, 23754.70674870219],
[0.042, 3.32657201754, 25654.19140369739],
[0.051, 1.08082309375, 25619.93815121980],
[0.047, 2.79966035046, 26514.50133245020],
[0.040, 2.91932668980, 81706.28436968799],
[0.040, 4.65660434525, 129909.82474277639],
[0.041, 4.21875403274, 130969.20667296558],
[0.050, 1.46644208786, 120226.23016165999],
[0.047, 3.77053215629, 25973.46385288896],
[0.047, 2.82867670887, 25668.41849769900],
[0.046, 4.14427477722, 125887.56221081219],
[0.039, 4.06156914485, 104355.49390165479],
[0.037, 3.22245380356, 51322.60990139639],
[0.039, 2.26439106521, 129483.91596626239],
[0.040, 0.54598734169, 105307.21230790539],
[0.035, 5.53895897820, 433.71173787680],
[0.038, 6.05329467990, 419.48464387520],
[0.039, 2.72082598885, 79852.78232000639],
[0.035, 1.72937228501, 131498.89763806018],
[0.034, 0.83611265968, 12432.04265039780],
[0.032, 4.45254278754, 50579.61984086379],
[0.042, 1.41457022130, 181555.94006083018],
[0.032, 4.73349986920, 52026.24308601380],
[0.036, 5.60766535694, 188276.65404017159],
[0.033, 3.98525990131, 78050.41032928458],
[0.032, 5.86059322955, 104371.28232719658],
[0.040, 5.45287901295, 27140.17152476259],
[0.031, 5.17982917253, 71025.03383312259],
[0.039, 3.34206786809, 26202.34243025941],
[0.029, 1.94010215318, 103821.92160120218],
[0.036, 0.65969730203, 51756.32163927320],
[0.030, 0.82864967511, 46848.33017476560],
[0.038, 0.80809536333, 151975.46535238638],
[0.029, 2.89227792530, 104358.72611329758],
[0.029, 4.49728060011, 103299.34418310839],
[0.035, 1.48121158024, 85502.38501632259],
[0.028, 5.48224379273, 91785.46086631398],
[0.030, 3.11318420566, 106570.36967048359],
[0.034, 4.26548581082, 90829.86112470538],
[0.031, 5.67743476614, 117873.36400788819],
[0.028, 4.97598935775, 103285.11708910679],
[0.033, 5.18111128318, 114564.89811250778],
[0.027, 0.88054842818, 157636.79740153858],
[0.026, 2.57652351573, 134991.46920492980],
[0.029, 2.64144900778, 26137.89976347840],
[0.028, 3.23650761988, 128850.44281258718],
[0.030, 6.03255187776, 32370.97899156560],
[0.029, 3.23415692694, 104344.49901929598],
[0.032, 3.21019810469, 28421.09953444620],
[0.024, 2.52484264487, 1596.18644228460],
[0.024, 0.27171495756, 24491.71669928959],
[0.026, 1.20902208843, 44181.27784112419],
[0.027, 5.71639245109, 111122.32316754239],
[0.031, 3.68314656803, 28206.66700195260],
[0.030, 2.36500429653, 103711.71527998279],
[0.022, 4.47547965260, 77829.99768684579],
[0.022, 5.93080138405, 98068.53671630539],
[0.021, 4.45887879737, 52815.70356946240],
[0.022, 1.51276188597, 35191.81013569180],
[0.025, 3.67349275753, 853.19638175200],
[0.021, 5.21045664362, 104564.91166173479],
[0.023, 3.52400873624, 100909.03762133139],
[0.021, 0.91705070968, 97580.90196505119],
[0.021, 3.93681460045, 25455.11940226100],
[0.020, 2.51210823023, 104347.73123093879],
[0.027, 2.35592427305, 78690.30761559859],
[0.020, 5.09828683951, 52099.54021187280],
[0.019, 3.37799607043, 45494.58142974879],
[0.021, 1.47540794459, 115674.27666460119],
[0.020, 1.17802900406, 155997.72788435058],
[0.025, 4.46628547605, 146314.13330323418],
[0.023, 2.29934592297, 33967.99229491319],
[0.020, 0.67974525638, 24505.94379329119],
[0.020, 5.32443861216, 25234.70675982219],
[0.018, 4.83011056299, 50593.84693486539],
[0.020, 2.19515561332, 51639.00177105299],
[0.020, 4.54362105039, 26037.90651966999],
[0.018, 3.66945372389, 176953.98994186718],
[0.022, 2.36457126914, 143961.26714946239],
[0.020, 1.91605933726, 53242.30176033840],
[0.017, 3.65797302958, 25938.33994443960],
[0.017, 4.72356636284, 39743.76363275060],
[0.017, 4.63385029370, 70269.18098269838],
[0.023, 3.47296935942, 102132.85546210999],
[0.018, 3.89075237232, 77844.22478084739],
[0.016, 1.39550514982, 119116.85160956658],
[0.017, 3.19413997784, 2333.19639287200],
[0.018, 0.10505670252, 52290.24557183361],
[0.015, 5.66501892458, 7994.52844202420],
[0.017, 5.59546671313, 60055.89543648739],
[0.015, 3.35297565546, 58458.88213313979],
[0.019, 1.88696722328, 1581.95934828300],
[0.016, 3.51339563149, 26094.53170047421],
[0.015, 5.87796844640, 105940.68546158058],
[0.014, 4.90677373859, 632.78373931320],
[0.017, 2.94915136654, 18093.37469954999],
[0.016, 3.30923893089, 26507.38778544939],
[0.017, 2.79032831551, 124156.43985787958],
[0.017, 2.32026007183, 53228.07466633679],
[0.015, 1.27735280723, 103925.01437542078],
[0.014, 0.47578456087, 104138.31347085879],
[0.014, 4.33486658309, 18207.81398823521],
[0.014, 6.25912081869, 102232.84870591838],
[0.016, 5.19489448771, 52022.02747266360],
[0.015, 3.36079341013, 26241.68195205900],
[0.016, 0.62153007569, 71980.63357473118],
[0.016, 0.34240403974, 26081.27458267419],
[0.015, 4.43868814661, 207643.84320240439],
[0.017, 3.44704905407, 183724.70054311279],
[0.016, 0.08608453345, 77410.51304297059],
[0.013, 4.45469253351, 90695.75207512038],
[0.014, 5.26281612633, 391318.54712361295],
[0.013, 2.28140033187, 26521.61487945100],
[0.013, 4.75564434373, 536.80451209540],
[0.013, 3.72895039092, 130419.84594697120],
[0.015, 6.26388997196, 54509.00267602040],
[0.014, 1.32802909705, 20760.42703319140],
[0.012, 0.96182853080, 157057.10981453978],
[0.017, 3.00168933222, 207593.84658050019],
[0.016, 0.54167157981, 52061.36699446317],
[0.016, 3.76004077423, 178063.36849396059],
[0.012, 0.50356687265, 5327.47610838280],
[0.014, 0.65739903621, 84546.78527471398],
[0.014, 2.64166191335, 42153.96900304900],
[0.011, 1.87375624710, 97112.93697469679],
[0.012, 5.28144640817, 26610.48055966799],
[0.012, 1.02715379165, 130012.91751699499],
[0.011, 4.76973198116, 157586.80077963436],
[0.011, 4.03645617358, 26011.63707029860],
[0.012, 1.03774094920, 116917.76426627958],
[0.011, 2.34762914711, 214364.55718174577],
[0.013, 5.96105286469, 49527.35145767539],
[0.013, 0.38784055589, 54294.57014352679],
[0.011, 0.80279403389, 130443.39704322898],
[0.012, 1.91910219792, 140652.80125408198],
[0.011, 4.82050468552, 647.01083331480],
[0.012, 3.95784286024, 72936.23331633979],
[0.010, 2.38363926963, 52698.38370124219],
[0.012, 5.21962000846, 25551.09862947879],
[0.011, 1.24041943634, 51543.02254383520],
[0.010, 1.23610986711, 76667.52298243798],
[0.011, 5.27116774881, 155571.81910783658],
[0.011, 5.98419309923, 107794.18751126219],
[0.010, 0.55390559777, 26941.09952332620],
[0.010, 1.49161844344, 52329.58509363319],
[0.011, 4.68946178137, 26190.99591579279],
[0.009, 5.63092803389, 27684.08958385880],
[0.011, 6.09445403088, 26555.86813192860],
[0.010, 0.09698975387, 29416.03879785439],
[0.010, 0.72339727974, 22759.76748529401],
[0.009, 1.96066446481, 51528.79544983359],
[0.009, 4.28124553384, 121335.60871375339],
[0.008, 4.26127907796, 182085.63102592478],
[0.009, 3.34775259107, 22747.29071487440],
[0.008, 1.25238578145, 129387.24732468258],
[0.008, 3.86388656969, 24864.08530079559],
[0.010, 1.34737181255, 2648.45482547300],
[0.008, 5.72234642822, 161079.37234650398],
[0.009, 5.45351693096, 104778.21075717278],
[0.011, 2.85637796333, 52643.77127350280],
[0.008, 3.27339488052, 27311.72098235281],
[0.010, 1.31510855953, 52125.80966124419],
[0.009, 1.17621493154, 172402.03644480839],
[0.008, 2.43297081646, 131395.11544947958],
[0.009, 0.46231104626, 26624.70765366959],
[0.007, 4.93485551094, 48835.19385644859],
[0.007, 5.92438953036, 130446.62925487179],
[0.007, 5.15107638670, 149.56319713460],
[0.008, 0.00476652316, 209812.60368468694],
[0.008, 5.06558822410, 61279.71327726600],
[0.009, 0.56618846666, 522.57741809380],
[0.007, 2.63009300708, 130459.18546877075],
[0.008, 2.08959717350, 25565.32572348040],
[0.009, 5.37562306264, 170049.17029103660],
[0.008, 4.05554156200, 156100.82065856917],
[0.007, 5.58541192959, 129799.61842155698],
[0.007, 1.76385898252, 129373.02023068098],
[0.006, 4.86066957244, 7880.08915333899],
[0.008, 4.47849277972, 10021.83728009940],
[0.006, 5.30561035943, 77726.90491262719],
[0.006, 1.27631388714, 103917.90082841998],
[0.006, 4.61189217781, 157483.01859105378],
[0.006, 3.96170038596, 123668.80510662538],
[0.006, 1.33523648266, 78903.60671103658],
[0.006, 0.55702386570, 204151.27163553477],
[0.005, 1.55562437906, 26294.08869001139],
[0.006, 2.05839183005, 130652.81480330898],
[0.005, 5.58094407959, 130435.63437251298],
[0.005, 1.47580092631, 78114.14622758799],
[0.006, 4.10195998301, 51707.84129279399],
[0.005, 5.42356096080, 3340.61242669980],
[0.005, 0.71252148739, 103932.12792242158],
[0.005, 3.31021043385, 111590.28815789679],
[0.005, 5.18242316734, 13362.44970679920],
[0.007, 0.02670007799, 130432.40216087017],
[0.006, 5.64961767520, 52225.80290505260],
[0.006, 0.24412111381, 128220.75860368418],
[0.005, 4.45623339313, 145204.75475114078],
[0.006, 5.59932602145, 154938.34595416137],
[0.005, 0.44843767302, 203041.89308344139],
[0.006, 0.61515143577, 126996.94076290558],
[0.006, 3.76267562514, 110634.68841628819],
[0.005, 3.87958020217, 25440.89230825939],
[0.006, 6.12898547290, 132658.27281205778],
[0.006, 1.78589858446, 76681.75007643958],
[0.006, 3.31942003464, 25881.71759313700],
[0.005, 4.83610476376, 78417.48823520739],
[0.005, 1.62128192664, 65831.66677432480],
[0.006, 5.79832326006, 150244.34299945380],
[0.004, 4.90210493212, 123200.84011627098],
[0.004, 0.04822157393, 71582.48457132299],
[0.004, 1.25993980368, 233731.74634397859],
[0.004, 4.09490053686, 143005.66740785379],
[0.004, 0.60263195052, 6681.22485339960],
[0.005, 3.53504145685, 130226.21661243298],
[0.004, 2.52659732174, 132028.58860315479],
[0.004, 5.09490146272, 76.26607127560],
[0.004, 1.41880070183, 31415.37924995700],
[0.005, 5.67226040777, 68241.87214462319],
[0.006, 6.07125845396, 1478.86657406440],
[0.004, 2.90387262796, 128320.75184749259],
[0.004, 3.16756186361, 78378.14871340781],
[0.004, 0.32589274840, 52595.29092702359],
[0.005, 1.78096081490, 116783.65521669458],
[0.004, 4.99518857973, 166740.70439565618],
[0.005, 4.90494970331, 79330.20490191258],
[0.004, 5.23437839920, 206.18554843720],
[0.004, 2.64302747396, 75615.25459924959],
[0.004, 0.81407144130, 75930.51303185058],
[0.004, 0.53239895977, 156507.74908854539],
[0.004, 4.27504704332, 956.28915597060],
[0.004, 3.01307667234, 80596.90581759460],
[0.003, 4.15170143655, 25867.49049913539],
[0.003, 4.02158764895, 52712.61079524379],
[0.004, 5.97032773544, 78731.67441507700],
[0.004, 5.13753166239, 137678.19129947099],
[0.003, 5.38378225170, 79315.97780791098],
[0.003, 4.90402266218, 77630.92568540938],
[0.004, 3.35681065144, 80382.47328510099],
[0.004, 3.34724303278, 55503.94193942859],
[0.003, 4.39477038963, 102755.42612401219],
[0.004, 2.19880101386, 137210.22630911658],
[0.003, 1.92191274920, 87367.61641884019],
[0.004, 3.62687237484, 78149.27013603736],
[0.003, 5.34278285975, 77616.69859140778],
[0.003, 4.04927793779, 183145.01295611399],
[0.003, 2.33740424416, 86143.79857806159],
[0.003, 0.29051326311, 66653.15746634839],
[0.004, 3.19530187424, 103498.41618454478],
[0.003, 1.83670250940, 78187.44335344699],
[0.004, 6.08402133763, 233681.74972207437],
[0.003, 5.44799723236, 52609.51802102519],
[0.003, 3.88568044923, 156531.30018480320],
[0.003, 1.56467339056, 183674.70392120857],
[0.003, 2.37223694472, 11610.55195837420],
[0.004, 2.36349454401, 3328.13565628019],
[0.003, 2.21015804942, 130866.11389874699],
[0.003, 1.00111385284, 12546.48193908300],
[0.003, 5.04736992413, 167850.08294774959],
[0.004, 2.74224804458, 133882.09065283637],
[0.003, 6.04124419781, 16066.06586147480],
[0.003, 2.00390511344, 25984.81036735560],
[0.003, 3.58451231520, 19406.67828817460],
[0.003, 5.58865591583, 52381.99183158559],
[0.003, 5.49839860031, 78786.28684281638],
[0.003, 2.35251877810, 50483.64061364600],
[0.003, 2.23638545873, 417406.45026518719],
[0.003, 0.89820153238, 182188.72380014337],
[0.003, 2.18659555288, 196137.07343261078],
[0.003, 1.23213629886, 183570.92173262799],
[0.003, 0.65362427623, 1162.47470440780],
[0.003, 2.37265737062, 141762.17980617538],
[0.003, 2.37167138660, 103.09277421860],
[0.003, 3.43071585489, 51219.51712717779],
[0.002, 5.43620933898, 240452.46032331997],
[0.002, 4.79210725186, 64901.25971792339],
[0.003, 0.58543714627, 136722.59155786238],
[0.002, 3.65273296014, 53029.00266490040],
[0.003, 1.40305085463, 52278.89905736699],
[0.003, 2.91888451759, 235900.50682626115],
[0.002, 5.24862580724, 32769.12799497380],
[0.003, 0.92825301327, 29428.51556827400],
[0.002, 1.28026650043, 96357.08412427259],
[0.003, 3.47745075021, 49842.60989027639],
[0.003, 1.27522510736, 44295.71712980940],
[0.003, 2.06356044829, 181659.72224941078],
[0.002, 1.82577636633, 181026.24909573558],
[0.002, 3.73653346143, 48847.67062686820],
[0.002, 4.29258038531, 198489.93958638259],
[0.003, 1.30423082531, 26237.46633870879],
[0.002, 5.62405074860, 112231.70171963578],
[0.003, 4.34969907580, 78213.71280281838],
[0.002, 4.40950391344, 155475.15046625677],
[0.002, 5.10859116787, 27669.86248985719],
[0.002, 2.40342983563, 53771.99272543299],
[0.002, 1.76898437388, 104505.39137678158],
[0.002, 1.13321786137, 208173.53416749899],
[0.003, 4.95012664609, 102769.65321801379],
[0.002, 2.37593594042, 51951.46148744649],
[0.003, 0.65556179120, 1692.16566950240],
[0.002, 1.65727778641, 163766.09444104519],
],
# B2
[
[11830.934, 4.79065585784, 26087.90314157420],
[1913.516, 0.00000000000, 0.00000000000],
[1044.801, 1.21216540536, 52175.80628314840],
[266.213, 4.43418336532, 78263.70942472259],
[170.280, 1.62255638714, 104351.61256629678],
[96.300, 4.80023692017, 130439.51570787099],
[44.692, 1.60758267772, 156527.41884944518],
[18.316, 4.66904655377, 182615.32199101939],
[6.927, 1.43404888930, 208703.22513259359],
[2.479, 4.47495202955, 234791.12827416777],
[1.739, 1.83080039600, 27197.28169366760],
[0.852, 1.22749255198, 260879.03141574195],
[0.641, 4.87358642253, 53285.18483524180],
[0.301, 1.96098924430, 51066.42773105500],
[0.306, 5.03912693671, 24978.52458948080],
[0.284, 4.25874901943, 286966.93455731618],
[0.235, 3.14549432371, 51116.42435295920],
[0.232, 4.22847849119, 31749.23519072640],
[0.186, 5.05207772442, 77154.33087262919],
[0.143, 5.71074961492, 21535.94964451540],
[0.114, 5.62232460770, 27043.50288318280],
[0.123, 1.51066137419, 79373.08797681599],
[0.093, 1.83776226489, 103242.23401420339],
[0.081, 0.85802178989, 57837.13833230060],
[0.079, 5.50027152752, 47623.85278608960],
[0.093, 1.01040170383, 313054.83769889036],
[0.058, 2.35944147105, 53131.40602475700],
[0.074, 2.28645155343, 50586.73338786459],
[0.049, 1.78193753560, 28306.66024576099],
[0.058, 5.88387132512, 77204.32749453338],
[0.060, 0.54679388547, 37410.56723987860],
[0.046, 5.77182292982, 529.69096509460],
[0.052, 3.58488737294, 25558.21217647960],
[0.061, 1.64891174657, 20426.57109242200],
[0.043, 6.15538236294, 51646.11531805379],
[0.042, 4.89875940528, 129330.13715577759],
[0.036, 5.61094806248, 22645.32819660879],
[0.033, 4.34189175312, 32858.61374281979],
[0.037, 4.50512068847, 26107.57290247399],
[0.032, 1.99466664427, 25132.30339996560],
[0.030, 0.76607738630, 5661.33204915220],
[0.027, 4.87180838160, 54394.56338733519],
[0.029, 5.66168505554, 26068.23338067440],
[0.025, 3.31115218239, 1059.38193018920],
[0.029, 2.70280425915, 41962.52073693740],
[0.029, 3.56940606994, 63498.47038145279],
[0.029, 4.01947170286, 339142.74084046460],
[0.028, 0.80200569507, 39609.65458316560],
[0.023, 5.30820497885, 23869.14603738740],
[0.024, 4.86369445330, 46514.47423399620],
[0.027, 3.32081057071, 10213.28554621100],
[0.030, 1.15631768661, 26084.02180621620],
[0.024, 2.71284750937, 26091.78447693220],
[0.021, 5.85119251529, 25874.60404613620],
[0.026, 3.11971794265, 43071.89928903080],
[0.023, 1.14258266850, 58946.51688439399],
[0.021, 4.78965226125, 51220.20654153979],
[0.025, 5.17153436907, 76674.63652943878],
[0.020, 6.05659966832, 25028.52121138500],
[0.017, 4.06375348164, 51535.90899683439],
[0.019, 2.26589689692, 72602.37737557039],
[0.019, 2.02802084878, 73711.75592766379],
[0.020, 2.44092663198, 51749.20809227239],
[0.017, 1.67702029587, 155418.04029735178],
[0.018, 2.11191340126, 26617.59410666880],
[0.019, 0.32685450395, 4551.95349705880],
[0.016, 4.02105643770, 105460.99111839019],
[0.014, 2.35860855509, 26080.78959457339],
[0.013, 3.28426450224, 25661.30495069820],
[0.016, 2.09223320909, 103292.23063610759],
[0.013, 2.08475100066, 49957.04917896160],
[0.014, 5.66400816218, 48733.23133818299],
[0.013, 1.65023710844, 26095.01668857500],
[0.015, 5.43792291298, 25973.46385288896],
[0.012, 5.15541566845, 79219.30916633119],
[0.012, 2.93766606728, 33326.57873317420],
[0.011, 5.16599347976, 15874.61759536320],
[0.015, 3.49521469034, 83925.04147387479],
[0.012, 1.33980027148, 77308.10968311399],
[0.012, 2.74476655782, 19317.19254032860],
[0.014, 5.48457159802, 98690.28051714458],
[0.012, 6.17629016531, 36301.18868778519],
[0.012, 5.16549673414, 1589.07289528380],
[0.010, 3.19718718931, 24498.83024629040],
[0.010, 3.10957426655, 16983.99614745660],
[0.010, 2.67818215946, 77734.01845962799],
[0.012, 1.64438976704, 26202.34243025941],
[0.011, 6.12421691815, 52705.49724824299],
[0.010, 5.42117419251, 14765.23904326980],
[0.011, 1.59577581724, 50057.04242277000],
[0.012, 2.44342322463, 213.29909543800],
[0.011, 4.59333229552, 56727.75978020720],
[0.008, 2.22267415318, 6283.07584999140],
[0.010, 3.63881306668, 65697.55772473979],
[0.008, 0.85708473896, 365230.64398203877],
[0.010, 3.56346926379, 53235.18821333759],
[0.009, 3.03935867498, 78793.40038981718],
[0.008, 2.05186284069, 30639.85663863300],
[0.008, 6.07959531374, 59414.48187474840],
[0.007, 1.48753095657, 29530.47808653960],
[0.007, 0.54370332724, 38519.94579197200],
[0.008, 5.99792913268, 7.11354700080],
[0.009, 6.08426293157, 69159.80243060499],
[0.007, 1.35513014510, 82815.66292178139],
[0.008, 3.00335450338, 40853.14218484400],
[0.007, 3.40544433462, 1066.49547719000],
[0.007, 5.80782632115, 45405.09568190280],
[0.007, 3.82318715536, 1052.26838318840],
[0.006, 4.57200111034, 55618.38122811380],
[0.006, 4.85942618671, 52168.69273614759],
[0.008, 0.34211699258, 79323.09135491178],
[0.006, 0.67823675060, 110012.94461544899],
[0.007, 4.12285655199, 45892.73043315699],
[0.007, 5.41918774642, 1109.37855209340],
[0.007, 3.14407932401, 51962.50718771040],
[0.006, 5.13879522396, 76044.95232053580],
[0.007, 2.06447590782, 124778.18365871879],
[0.006, 1.61443478349, 3442.57494496540],
[0.005, 2.01359728100, 27676.97603685800],
[0.007, 5.49596353318, 23754.70674870219],
[0.006, 0.71445272050, 27147.28507176339],
[0.005, 5.58153663720, 68050.42387851159],
[0.006, 4.72387999717, 52290.24557183361],
[0.005, 1.65565332809, 80482.46652890938],
[0.005, 4.67655631038, 181505.94343892598],
[0.005, 5.35730277715, 12566.15169998280],
[0.005, 2.24953488234, 52061.36699446317],
[0.004, 1.93085125724, 52156.13652224860],
[0.006, 5.23350745087, 129380.13377768178],
[0.005, 6.27908880897, 66941.04532641819],
[0.006, 0.86124028508, 52195.47604404819],
[0.004, 0.23100295125, 89586.37352302698],
[0.005, 4.23944686799, 103396.01282468818],
[0.004, 0.29398633221, 51109.31080595839],
[0.005, 0.38451698643, 955.59974160860],
[0.005, 5.75812965170, 104881.30353139139],
[0.005, 3.78671774559, 52171.92494779040],
[0.004, 5.32828531774, 25448.00585526019],
[0.005, 3.20016226905, 426.59819087600],
[0.005, 3.86489045633, 9103.90699411760],
[0.004, 0.62543334322, 11322.66409830440],
[0.004, 6.07508617692, 2118.76386037840],
[0.004, 2.43638238426, 74821.13447975718],
[0.004, 5.29735530203, 52179.68761850640],
[0.003, 3.19112063073, 13521.75144159140],
[0.004, 5.09850398144, 77837.11123384659],
[0.004, 1.81128771043, 102762.53967101299],
[0.004, 2.92685125689, 639.89728631400],
[0.004, 4.37998582536, 52182.91983014920],
[0.004, 0.90562468300, 77623.81213840858],
[0.004, 3.40653389629, 105410.99449648599],
[0.004, 5.56139758889, 26301.20223701220],
[0.003, 3.84817111044, 2218.75710418680],
[0.004, 3.40685398189, 52389.10537858640],
[0.003, 3.64497587259, 64607.84893354619],
[0.003, 4.90907522926, 99799.65906923798],
[0.003, 0.33551297325, 13655.86049117640],
[0.003, 4.38738526963, 108903.56606335558],
[0.003, 2.71996542810, 38654.05484155699],
[0.003, 5.21639569130, 150866.08680029298],
[0.003, 5.79669813464, 131548.89425996438],
[0.003, 4.24481036893, 136100.84775702318],
[0.003, 4.74285528385, 53764.87917843220],
[0.003, 5.12230469501, 32370.97899156560],
[0.003, 4.91979299090, 18849.22754997420],
[0.003, 1.21305125502, 105307.21230790539],
[0.002, 2.61741407230, 71492.99882347698],
[0.002, 5.29927753161, 64741.95798313119],
[0.002, 2.59250638038, 155468.03691925600],
[0.002, 5.60083003625, 26514.50133245020],
[0.003, 4.14284031224, 85034.42002596818],
[0.002, 3.04958336441, 93028.94846799239],
[0.003, 6.16142033746, 78477.00852016058],
[0.003, 4.49779099000, 76144.94556434419],
[0.002, 2.74114399659, 130969.20667296558],
[0.002, 6.18606575651, 51123.53789995999],
[0.003, 1.68659744145, 28421.09953444620],
[0.002, 1.39891525246, 81706.28436968799],
[0.002, 1.36487993355, 79852.78232000639],
[0.002, 0.86961235954, 129483.91596626239],
[0.002, 0.16105302705, 25021.40766438420],
[0.002, 0.20969999844, 19804.82729158280],
[0.002, 0.99320491085, 162188.75089859738],
[0.002, 3.94039306142, 391318.54712361295],
[0.002, 1.80783236802, 23969.13928119580],
[0.002, 5.12099356220, 51322.60990139639],
[0.002, 2.80140642811, 62389.09182935939],
[0.002, 2.60965333457, 52602.40447402440],
[0.002, 2.72257468038, 7994.52844202420],
[0.002, 5.84222491614, 103821.92160120218],
[0.002, 6.04515878720, 25035.63475838580],
[0.001, 2.34997564292, 85502.38501632259],
[0.001, 0.17409967102, 131498.89763806018],
[0.001, 3.11496551907, 25934.12433108940],
[0.002, 5.12532278095, 78267.59076008058],
[0.001, 5.49175475674, 104331.94280539699],
[0.001, 0.44808516059, 78050.41032928458],
[0.002, 1.92656028088, 102132.85546210999],
[0.002, 1.93198050022, 853.19638175200],
[0.001, 2.42972717822, 94138.32702008578],
[0.002, 5.13550087739, 6770.71060124560],
[0.001, 4.65441500870, 78259.82808936459],
[0.001, 3.99687455490, 188276.65404017159],
[0.001, 4.39069692330, 104371.28232719658],
[0.001, 1.64083661387, 78283.37918562238],
[0.001, 1.50558734911, 78378.14871340781],
[0.002, 6.27597485867, 91785.46086631398],
[0.001, 4.00786092689, 78244.03966382280],
[0.001, 1.70741856509, 28206.66700195260],
[0.001, 5.31900403501, 78149.27013603736],
[0.001, 1.40205887414, 44937.13069154840],
[0.001, 1.03752853909, 104347.73123093879],
[0.001, 0.66520680194, 419.48464387520],
[0.001, 2.46437105095, 104355.49390165479],
[0.001, 0.81835364761, 35191.81013569180],
[0.001, 0.33780670840, 88476.99497093359],
[0.001, 6.08346231930, 70269.18098269838],
[0.001, 1.86810476133, 125887.56221081219],
[0.001, 2.10468974660, 25619.93815121980],
[0.001, 3.99494842792, 71025.03383312259],
[0.001, 0.57714874874, 71980.63357473118],
[0.001, 5.66312942513, 97580.90196505119],
[0.001, 3.06688416266, 129909.82474277639],
[0.001, 5.66709359706, 433.71173787680],
[0.001, 0.91634007063, 103925.01437542078],
[0.001, 6.02359186416, 181555.94006083018],
[0.001, 1.44980129997, 26727.80042788820],
[0.001, 1.45442920390, 207593.84658050019],
[0.001, 1.12941846578, 60055.89543648739],
[0.001, 1.16964771504, 134991.46920492980],
],
# B3
[
[235.423, 0.35387524604, 26087.90314157420],
[160.537, 0.00000000000, 0.00000000000],
[18.904, 4.36275460261, 52175.80628314840],
[6.376, 2.50715381439, 78263.70942472259],
[4.580, 6.14257817571, 104351.61256629678],
[3.061, 3.12497552681, 130439.51570787099],
[1.732, 6.26642412058, 156527.41884944518],
[0.857, 3.07673166705, 182615.32199101939],
[0.384, 6.14815319932, 208703.22513259359],
[0.159, 2.92437378320, 234791.12827416777],
[0.062, 5.97292432097, 260879.03141574195],
[0.054, 3.31612529961, 27197.28169366760],
[0.023, 2.74287679452, 286966.93455731618],
[0.017, 0.77798463435, 24978.52458948080],
[0.012, 6.24116133415, 53285.18483524180],
[0.008, 5.79551081392, 313054.83769889036],
[0.006, 5.81555175073, 31749.23519072640],
[0.004, 4.67212195693, 51116.42435295920],
[0.004, 3.36833718999, 77154.33087262919],
[0.003, 0.26522113546, 103242.23401420339],
[0.003, 0.79794705473, 27043.50288318280],
[0.004, 0.82832725003, 21535.94964451540],
[0.002, 2.57068697582, 339142.74084046460],
[0.002, 1.82309397040, 1109.37855209340],
[0.002, 0.74986942696, 47623.85278608960],
[0.002, 3.61692083154, 50586.73338786459],
[0.002, 4.70766241226, 51066.42773105500],
[0.001, 3.33688549090, 129330.13715577759],
[0.001, 2.64641192612, 57837.13833230060],
[0.001, 4.93247555987, 25558.21217647960],
[0.002, 5.00344393497, 20426.57109242200],
[0.002, 4.80841415889, 25028.52121138500],
[0.002, 5.85039338716, 1059.38193018920],
[0.001, 1.85116662745, 37410.56723987860],
[0.002, 3.97317842825, 25132.30339996560],
[0.001, 2.14494291300, 79373.08797681599],
[0.001, 2.53223701416, 46514.47423399620],
[0.001, 5.84921632430, 5661.33204915220],
[0.001, 3.81958470276, 53131.40602475700],
[0.001, 1.05410669937, 1589.07289528380],
[0.001, 1.39436798574, 51646.11531805379],
[0.001, 0.36358097174, 22645.32819660879],
[0.001, 2.76609972270, 28306.66024576099],
[0.001, 3.67689055309, 4551.95349705880],
[0.001, 5.39398540975, 32858.61374281979],
[0.001, 3.73579127170, 24498.83024629040],
[0.001, 0.60289607514, 26068.23338067440],
[0.001, 5.78167324673, 26107.57290247399],
[0.001, 3.81913361795, 26091.78447693220],
[0.001, 5.64455351094, 365230.64398203877],
[0.001, 4.87981157471, 10213.28554621100],
[0.001, 2.44816565966, 26084.02180621620],
[0.000, 3.45284067711, 105460.99111839019],
],
# B4
[
[4.276, 1.74579932115, 26087.90314157420],
[1.023, 3.14159265359, 0.00000000000],
[0.425, 4.03419509143, 52175.80628314840],
[0.257, 0.20643590425, 78263.70942472259],
[0.116, 3.75237354024, 104351.61256629678],
[0.073, 1.18210375402, 130439.51570787099],
[0.051, 4.54581086194, 156527.41884944518],
[0.031, 1.44226942756, 182615.32199101939],
[0.016, 4.56372679459, 208703.22513259359],
[0.008, 1.34684622635, 234791.12827416777],
[0.003, 4.40269422669, 260879.03141574195],
[0.001, 4.69096566687, 27197.28169366760],
[0.001, 1.16082903756, 286966.93455731618],
[0.000, 1.44918128781, 24978.52458948080],
[0.000, 4.18046278690, 313054.83769889036],
],
# B5
[
[0.106, 3.94555784256, 26087.90314157420],
[0.075, 3.14159265359, 0.00000000000],
[0.022, 1.30514874546, 52175.80628314840],
[0.007, 4.99717136857, 78263.70942472259],
[0.004, 2.05662545278, 104351.61256629678],
[0.002, 5.43162058632, 130439.51570787099],
[0.001, 2.68052517331, 156527.41884944518],
[0.001, 6.00841870284, 182615.32199101939],
[0.000, 2.85941734701, 208703.22513259359],
[0.000, 5.96962108614, 234791.12827416777],
],
]
"""This table contains Mercury's periodic terms (all of them) from the
planetary theory VSOP87 for the heliocentric latitude at the equinox of date
(taken from the 'D' solution). In Meeus' book a shortened version can be found
in pages 415-416."""
VSOP87_R = [
# R0
[
[39528271.652, 0.00000000000, 0.00000000000],
[7834131.817, 6.19233722599, 26087.90314157420],
[795525.557, 2.95989690096, 52175.80628314840],
[121281.763, 6.01064153805, 78263.70942472259],
[21921.969, 2.77820093975, 104351.61256629678],
[4354.065, 5.82894543257, 130439.51570787099],
[918.228, 2.59650562598, 156527.41884944518],
[260.033, 3.02817753482, 27197.28169366760],
[289.955, 1.42441936951, 25028.52121138500],
[201.855, 5.64725040350, 182615.32199101939],
[201.499, 5.59227724202, 31749.23519072640],
[141.980, 6.25264202645, 24978.52458948080],
[100.144, 3.73435608689, 21535.94964451540],
[77.561, 3.66972526976, 20426.57109242200],
[63.277, 4.29905918105, 25558.21217647960],
[62.951, 4.76588899933, 1059.38193018920],
[66.754, 2.52520309182, 5661.33204915220],
[75.500, 4.47428642962, 51116.42435295920],
[48.266, 6.06824478778, 53285.18483524180],
[45.748, 2.41480951648, 208703.22513259359],
[35.224, 1.05917802674, 27043.50288318280],
[40.815, 2.35882016415, 57837.13833230060],
[44.234, 1.21957314874, 15874.61759536320],
[33.873, 0.86381554651, 25661.30495069820],
[37.203, 0.51733821470, 47623.85278608960],
[30.092, 1.79500530627, 37410.56723987860],
[28.417, 3.02063625668, 51066.42773105500],
[30.903, 0.88366335532, 24498.83024629040],
[26.105, 2.15021963174, 39609.65458316560],
[18.699, 4.96496008403, 11322.66409830440],
[21.270, 5.36857139841, 13521.75144159140],
[19.422, 4.98378647655, 10213.28554621100],
[16.941, 3.88765393402, 26617.59410666880],
[15.109, 0.44510589948, 46514.47423399620],
[17.087, 1.24077764194, 77204.32749453338],
[13.940, 1.62573946865, 27147.28507176339],
[13.382, 1.07657890477, 51646.11531805379],
[15.012, 4.28173463507, 41962.52073693740],
[13.977, 4.77056848793, 33326.57873317420],
[12.794, 6.06437138766, 1109.37855209340],
[13.938, 1.99984876578, 25132.30339996560],
[16.297, 2.63293587817, 19804.82729158280],
[11.933, 2.36500939134, 4551.95349705880],
[10.612, 5.46555460932, 234791.12827416777],
[12.754, 2.07613721222, 529.69096509460],
[12.069, 2.84997619452, 79373.08797681599],
[9.069, 1.21263611811, 14765.23904326980],
[9.491, 0.83697007534, 12566.15169998280],
[9.379, 5.41195286503, 83925.04147387479],
[7.499, 2.44636811119, 30639.85663863300],
[7.463, 5.53233943198, 32858.61374281979],
[7.215, 1.17101960691, 16983.99614745660],
[8.492, 3.56622930635, 73711.75592766379],
[7.109, 5.32625264624, 426.59819087600],
[6.863, 1.82313992707, 36301.18868778519],
[6.560, 4.27818149213, 43071.89928903080],
[8.853, 3.87737694074, 50586.73338786459],
[6.885, 5.31108526630, 1589.07289528380],
[5.943, 4.06893157254, 53131.40602475700],
[7.653, 3.91505031889, 51749.20809227239],
[6.460, 6.07127449283, 77154.33087262919],
[5.415, 5.20028107807, 65697.55772473979],
[5.186, 3.56743214904, 6283.07584999140],
[4.090, 3.67593658710, 22645.32819660879],
[4.075, 4.29142111073, 103292.23063610759],
[4.428, 5.69109527379, 45892.73043315699],
[3.426, 0.64911736234, 52705.49724824299],
[3.354, 3.49345105494, 72602.37737557039],
[4.120, 1.65386255382, 25448.00585526019],
[3.261, 1.03195890028, 68050.42387851159],
[3.278, 3.13863529552, 25874.60404613620],
[3.054, 4.12578324522, 77734.01845962799],
[3.614, 2.95861599353, 28306.66024576099],
[2.820, 4.62628436074, 18849.22754997420],
[2.746, 4.67880529205, 53235.18821333759],
[2.713, 3.56874913980, 26068.23338067440],
[2.507, 2.23312085627, 260879.03141574195],
[3.044, 5.90613310181, 105460.99111839019],
[2.755, 5.67587087632, 26107.57290247399],
[2.267, 2.17941340037, 110012.94461544899],
[2.274, 0.50173671332, 32370.97899156560],
[2.741, 4.75427920262, 63498.47038145279],
[2.792, 5.05148206806, 51220.20654153979],
[2.557, 2.95114696617, 26080.78959457339],
[2.135, 0.84621449019, 76674.63652943878],
[1.971, 0.47407494310, 48733.23133818299],
[1.965, 1.37420902653, 7238.67559160000],
[2.526, 0.34535290139, 23969.13928119580],
[2.022, 0.33828477567, 99799.65906923798],
[1.872, 3.93046425037, 38654.05484155699],
[1.873, 0.69327393635, 26091.78447693220],
[1.945, 2.37383894182, 6770.71060124560],
[1.863, 2.26591720786, 26084.02180621620],
[1.750, 5.50651903992, 56727.75978020720],
[1.971, 3.77455887616, 19317.19254032860],
[1.672, 2.15275897581, 26514.50133245020],
[1.703, 4.28965990785, 40853.14218484400],
[1.657, 4.98021773372, 9103.90699411760],
[2.084, 2.19427123968, 26301.20223701220],
[1.818, 4.20870869718, 25938.33994443960],
[1.780, 0.91702846577, 79219.30916633119],
[1.525, 2.15720744047, 27676.97603685800],
[1.533, 1.54503054415, 955.59974160860],
[1.614, 1.27565104562, 25035.63475838580],
[1.743, 0.68269002122, 77837.11123384659],
[1.389, 4.85102048256, 62389.09182935939],
[1.436, 0.05742216761, 23869.14603738740],
[1.563, 5.84795233948, 26095.01668857500],
[1.640, 4.66281337712, 25021.40766438420],
[1.552, 2.83910580545, 103242.23401420339],
[1.249, 1.97225274067, 91785.46086631398],
[1.160, 1.73113341823, 38519.94579197200],
[1.005, 1.05898314860, 129380.13377768178],
[1.041, 2.78036322434, 213.29909543800],
[1.105, 4.55512109515, 26011.63707029860],
[0.979, 2.43870419667, 71980.63357473118],
[0.853, 0.56334001923, 20760.42703319140],
[0.874, 4.53679970936, 639.89728631400],
[0.783, 3.69782403005, 78793.40038981718],
[0.772, 4.08714349549, 94138.32702008578],
[0.797, 0.26237215917, 98690.28051714458],
[0.965, 4.70784179954, 51535.90899683439],
[0.952, 2.53604676495, 29530.47808653960],
[0.773, 2.67893222158, 131548.89425996438],
[0.734, 0.89243669490, 103821.92160120218],
[0.668, 3.73113394924, 46848.33017476560],
[0.828, 2.88184821542, 19406.67828817460],
[0.622, 1.05579535631, 59414.48187474840],
[0.676, 4.50357599360, 25934.12433108940],
[0.602, 5.28399057704, 286966.93455731618],
[0.619, 1.44855037685, 79323.09135491178],
[0.691, 6.19733262608, 51962.50718771040],
[0.563, 5.22994296186, 136100.84775702318],
[0.782, 3.25257254691, 50057.04242277000],
[0.551, 0.33644229836, 52156.13652224860],
[0.705, 4.73705371920, 26241.68195205900],
[0.577, 5.85654734429, 2118.76386037840],
[0.517, 3.93195379429, 102762.53967101299],
[0.635, 4.87720838965, 12432.04265039780],
[0.635, 1.81903685898, 77308.10968311399],
[0.543, 1.40877130839, 44937.13069154840],
[0.556, 5.44324390449, 85034.42002596818],
[0.496, 3.39004132624, 125887.56221081219],
[0.546, 4.78005317483, 22747.29071487440],
[0.520, 6.00172746972, 52168.69273614759],
[0.463, 3.67549187956, 25668.41849769900],
[0.452, 3.53009000682, 58458.88213313979],
[0.474, 5.94330512040, 54394.56338733519],
[0.559, 2.44355554028, 52195.47604404819],
[0.418, 3.73369494476, 103925.01437542078],
[0.397, 0.69014608020, 64741.95798313119],
[0.511, 5.88243734524, 45494.58142974879],
[0.412, 2.26754404446, 82815.66292178139],
[0.425, 5.24511927496, 52389.10537858640],
[0.482, 0.98165400059, 25654.19140369739],
[0.380, 3.74413132157, 52179.68761850640],
[0.359, 5.50961077408, 26555.86813192860],
[0.375, 1.97920050124, 149.56319713460],
[0.385, 5.88991948790, 129330.13715577759],
[0.348, 4.91064019959, 1052.26838318840],
[0.417, 4.32916053867, 51123.53789995999],
[0.425, 1.43228996047, 51109.31080595839],
[0.464, 3.98651628073, 105307.21230790539],
[0.329, 5.20636278221, 52602.40447402440],
[0.354, 1.04383146533, 66941.04532641819],
[0.324, 1.62975761811, 88476.99497093359],
[0.378, 5.31676765847, 52171.92494779040],
[0.440, 1.46381183715, 89586.37352302698],
[0.355, 1.52732265492, 1066.49547719000],
[0.302, 5.21113786435, 53764.87917843220],
[0.301, 5.02488829134, 117873.36400788819],
[0.351, 2.00433341730, 24395.73747207180],
[0.289, 6.19161799918, 26094.53170047421],
[0.286, 3.77170690304, 7.11354700080],
[0.284, 3.10942616808, 49957.04917896160],
[0.385, 2.47184729453, 25234.70675982219],
[0.382, 0.97683830518, 52026.24308601380],
[0.271, 5.74710334372, 25455.11940226100],
[0.375, 0.55187466535, 45405.09568190280],
[0.267, 2.86410554301, 80482.46652890938],
[0.304, 6.00190488272, 2218.75710418680],
[0.259, 1.82921035765, 24505.94379329119],
[0.251, 4.10979574073, 155468.03691925600],
[0.289, 3.05373259745, 26081.27458267419],
[0.242, 5.05501089774, 42153.96900304900],
[0.244, 2.15621668050, 3442.57494496540],
[0.315, 2.61613386386, 52182.91983014920],
[0.256, 3.71117332461, 25619.93815121980],
[0.232, 2.21576531181, 16066.06586147480],
[0.233, 5.49033130906, 98068.53671630539],
[0.236, 4.08612620637, 26013.12154300690],
[0.225, 0.44449338810, 76144.94556434419],
[0.242, 3.29851820234, 6681.22485339960],
[0.227, 1.63236736805, 76.26607127560],
[0.268, 1.09037236588, 18093.37469954999],
[0.255, 4.20635818545, 44181.27784112419],
[0.205, 1.00234895959, 26190.99591579279],
[0.228, 1.46077047931, 77623.81213840858],
[0.197, 1.36693360783, 26727.80042788820],
[0.259, 1.28296039354, 13655.86049117640],
[0.197, 5.73307583430, 157636.79740153858],
[0.196, 0.06606260924, 40565.25432477420],
[0.187, 0.86187283408, 120226.23016165999],
[0.262, 4.14850032709, 24491.71669928959],
[0.244, 4.14399890076, 95247.70557217918],
[0.232, 5.45165695316, 33967.99229491319],
[0.206, 5.59196913034, 55618.38122811380],
[0.203, 1.64252462466, 58946.51688439399],
[0.187, 0.46291089182, 104881.30353139139],
[0.192, 1.82761158300, 25551.09862947879],
[0.200, 1.81376901527, 25863.55834587229],
[0.191, 5.57428963071, 5327.47610838280],
[0.195, 3.31297083154, 124778.18365871879],
[0.169, 1.69270064342, 90695.75207512038],
[0.226, 1.32354627258, 52099.54021187280],
[0.177, 3.29620848300, 25131.61398560359],
[0.178, 2.54823795050, 26720.68688088739],
[0.167, 3.61983109002, 23754.70674870219],
[0.159, 3.48396967776, 25977.69682035479],
[0.150, 5.20072476078, 69159.80243060499],
[0.179, 3.94252428767, 129909.82474277639],
[0.166, 0.40320638452, 100909.03762133139],
[0.176, 2.97410942402, 24925.42843716640],
[0.154, 1.27206049137, 25984.81036735560],
[0.144, 1.89319156163, 64607.84893354619],
[0.145, 2.05409839424, 313054.83769889036],
[0.152, 4.87194153709, 103396.01282468818],
[0.137, 3.86782217557, 24609.03656750980],
[0.141, 1.99770625298, 162188.75089859738],
[0.185, 6.10038742063, 23439.44831610119],
[0.135, 1.27363012793, 52022.02747266360],
[0.127, 0.70464976569, 128850.44281258718],
[0.142, 1.50696203402, 52329.58509363319],
[0.126, 2.70555128398, 28206.66700195260],
[0.126, 1.61963252183, 48835.19385644859],
[0.123, 0.15629905349, 151975.46535238638],
[0.137, 1.77306412615, 35191.81013569180],
[0.147, 4.50311642422, 105410.99449648599],
[0.125, 3.38994834526, 78244.03966382280],
[0.119, 2.77644375904, 78256.59587772179],
[0.156, 2.96616703196, 78050.41032928458],
[0.145, 1.35569389554, 3340.61242669980],
[0.126, 3.97006576134, 29428.51556827400],
[0.128, 5.41891989692, 26162.68474014150],
[0.132, 4.86901248209, 24712.12934172840],
[0.110, 3.87954702440, 85502.38501632259],
[0.127, 5.49703075555, 78283.37918562238],
[0.126, 0.94870979828, 121335.60871375339],
[0.129, 4.00691218396, 72936.23331633979],
[0.102, 0.50487650429, 130012.91751699499],
[0.104, 0.29849788751, 84546.78527471398],
[0.118, 0.76511176346, 131395.11544947958],
[0.120, 4.45261989231, 71025.03383312259],
[0.117, 3.31644134053, 25771.51127191760],
[0.110, 2.63249934300, 71582.48457132299],
[0.097, 2.66105435933, 155418.04029735178],
[0.113, 5.88733575390, 26404.29501123080],
[0.098, 2.01417457095, 78477.00852016058],
[0.103, 0.46416881502, 51756.32163927320],
[0.093, 2.37389467504, 419.48464387520],
[0.125, 1.87932536282, 26610.48055966799],
[0.095, 0.34221817875, 26507.38778544939],
[0.093, 3.80346806552, 26037.90651966999],
[0.091, 2.63082094391, 28421.09953444620],
[0.101, 5.20997240587, 433.71173787680],
[0.096, 4.47724179825, 77197.21394753258],
[0.108, 4.03679713919, 51742.09454527159],
[0.086, 5.14039556935, 26237.46633870879],
[0.092, 3.74335845403, 90829.86112470538],
[0.086, 1.86276413658, 27140.17152476259],
[0.102, 5.40465219833, 26137.89976347840],
[0.086, 4.01653667598, 10021.83728009940],
[0.100, 5.32142188276, 108903.56606335558],
[0.079, 4.68108496987, 27154.39861876420],
[0.092, 5.52103093635, 51322.60990139639],
[0.093, 4.20604773511, 38813.35657634920],
[0.078, 2.88001982141, 29416.03879785439],
[0.095, 4.44018421307, 115674.27666460119],
[0.104, 5.05004528676, 50483.64061364600],
[0.075, 1.78927060530, 143961.26714946239],
[0.086, 0.51423355089, 78267.59076008058],
[0.078, 4.66831173790, 114564.89811250778],
[0.078, 4.20137623264, 1692.16566950240],
[0.086, 4.03030391951, 78114.14622758799],
[0.073, 2.27328552013, 52643.77127350280],
[0.082, 3.73510592110, 853.19638175200],
[0.071, 4.89150553141, 50593.84693486539],
[0.082, 5.22677693918, 27999.10262479140],
[0.093, 1.09569161440, 77211.44104153418],
[0.074, 1.97833720876, 78690.30761559859],
[0.082, 3.59482991001, 71492.99882347698],
[0.083, 4.10355702051, 93028.94846799239],
[0.083, 3.12647584943, 14477.35118320000],
[0.067, 0.24182046727, 66653.15746634839],
[0.074, 5.66833060422, 78270.82297172339],
[0.068, 1.98236355905, 79852.78232000639],
[0.064, 5.55115814500, 25764.39772491679],
[0.064, 6.15935356751, 76044.95232053580],
[0.087, 1.77296830923, 25440.89230825939],
[0.073, 2.06220281759, 111122.32316754239],
[0.066, 2.28151075383, 7880.08915333899],
[0.076, 2.65553220848, 34282.17847478280],
[0.078, 0.40338105541, 49842.60989027639],
[0.064, 0.87558639332, 181555.94006083018],
[0.086, 2.08697748680, 78259.82808936459],
[0.074, 0.86501751700, 50579.61984086379],
[0.082, 1.02659883956, 74821.13447975718],
[0.059, 2.45952644668, 51543.02254383520],
[0.062, 0.94273311929, 25344.91308104160],
[0.058, 2.95861781205, 52182.43484204840],
[0.058, 4.20402726578, 96357.08412427259],
[0.061, 2.81500265978, 26202.34243025941],
[0.057, 2.27689377996, 124156.43985787958],
[0.057, 4.37167017012, 1581.95934828300],
[0.055, 0.12465494356, 25973.46385288896],
[0.054, 4.79303212221, 26164.16921284980],
[0.054, 3.05622204718, 25565.32572348040],
[0.055, 4.51497762833, 103711.71527998279],
[0.054, 3.87143037686, 18207.81398823521],
[0.054, 4.62784653733, 25881.71759313700],
[0.053, 4.32548272270, 70269.18098269838],
[0.050, 2.50066877650, 183724.70054311279],
[0.058, 2.06211216656, 1596.18644228460],
[0.066, 5.20298814290, 26294.08869001139],
[0.047, 0.85039730966, 52101.02468458109],
[0.058, 1.43409045174, 23866.04650697719],
[0.048, 2.35364103056, 81706.28436968799],
[0.052, 0.19368783267, 92741.06060792258],
[0.053, 0.58517949906, 26624.70765366959],
[0.061, 2.61493039721, 49527.35145767539],
[0.047, 3.88384847335, 146314.13330323418],
[0.049, 6.20308247475, 32769.12799497380],
[0.053, 4.37486529196, 78187.44335344699],
[0.048, 5.97568482401, 51013.33157874059],
[0.048, 3.84102043742, 102232.84870591838],
[0.049, 5.05464216653, 7994.52844202420],
[0.044, 5.42890224840, 86143.79857806159],
[0.058, 3.80571138237, 99024.13645791399],
[0.044, 4.02792920142, 147423.51185532758],
[0.058, 6.09746566424, 52169.17772424839],
[0.042, 4.38843836266, 224.34479570190],
[0.043, 1.57859396874, 23976.25282819660],
[0.049, 0.46973350644, 51707.84129279399],
[0.040, 4.41764731583, 52815.70356946240],
[0.046, 3.51985131014, 130969.20667296558],
[0.045, 4.35527612249, 39743.76363275060],
[0.045, 0.78163192715, 25138.72753260440],
[0.049, 0.90057831755, 632.78373931320],
[0.041, 4.04225615670, 52278.89905736699],
[0.039, 2.91829595120, 956.28915597060],
[0.043, 0.13178694356, 2648.45482547300],
[0.038, 0.62377784752, 50696.93970908399],
[0.042, 2.75028269027, 24079.34560241519],
[0.040, 1.64358052897, 39629.32434406539],
[0.037, 5.75760879379, 25867.49049913539],
[0.051, 1.57829002915, 12725.45343477500],
[0.037, 1.62981695072, 129483.91596626239],
[0.045, 0.04645406242, 51219.51712717779],
[0.036, 0.09834373600, 25241.82030682300],
[0.049, 0.07681157050, 150866.08680029298],
[0.034, 4.56091607046, 536.80451209540],
[0.036, 5.59483746723, 52808.59002246159],
[0.039, 5.99500252470, 104138.31347085879],
[0.046, 0.70772608543, 155997.72788435058],
[0.033, 4.54716206885, 78417.48823520739],
[0.041, 4.92673567168, 51639.00177105299],
[0.032, 4.31372208361, 78109.93061423779],
[0.036, 5.69791953426, 26049.77010593640],
[0.034, 3.32168809248, 35472.74414964940],
[0.042, 4.86530735726, 51951.46148744649],
[0.033, 3.73733919231, 154938.34595416137],
[0.041, 2.38147812869, 68241.87214462319],
[0.035, 5.09571047220, 339142.74084046460],
[0.031, 4.31506703539, 52072.71350892979],
[0.032, 3.21248509301, 178063.36849396059],
[0.035, 5.04278529087, 188276.65404017159],
[0.041, 3.22838990589, 1162.47470440780],
[0.030, 2.33061092140, 1478.86657406440],
[0.032, 2.71244280066, 25780.34552060460],
[0.032, 3.80411460420, 157483.01859105378],
[0.030, 0.37624991562, 26421.75908234360],
[0.029, 5.82513433576, 104344.49901929598],
[0.031, 6.02215690021, 26198.10946279360],
[0.040, 1.02201252788, 27819.02549450680],
[0.030, 2.25849995020, 104371.28232719658],
[0.029, 2.67851330746, 110.20632121940],
[0.030, 1.34446903292, 1375.77379984580],
[0.028, 4.62845152557, 74923.09699802278],
[0.037, 3.03899000872, 11610.55195837420],
[0.032, 0.26062549755, 52065.59996192899],
[0.038, 1.25704652400, 131498.89763806018],
[0.032, 1.04832153595, 26086.41866886590],
[0.037, 1.63595908508, 50800.03248330259],
[0.030, 0.15550783905, 104331.94280539699],
[0.026, 0.03549300809, 24815.22211594700],
[0.026, 1.03871337432, 24292.64469785319],
[0.026, 3.54557412535, 156100.82065856917],
[0.027, 0.60333270859, 111590.28815789679],
[0.031, 3.35540556110, 126996.94076290558],
[0.026, 5.73937805822, 54294.57014352679],
[0.026, 2.79743885101, 86457.98475793119],
[0.026, 5.70579806927, 97670.38771289718],
[0.025, 2.34928986187, 24601.92302050899],
[0.025, 5.70613852018, 181505.94343892598],
[0.034, 0.23651097126, 26395.46076254379],
[0.025, 2.19241735868, 52250.58788171570],
[0.025, 1.82880416247, 74.78159856730],
[0.028, 0.57661358158, 125112.03959948818],
[0.024, 2.03938254170, 26521.61487945100],
[0.024, 5.05213893429, 104564.91166173479],
[0.023, 6.23874249128, 75615.25459924959],
[0.026, 3.34519516519, 110634.68841628819],
[0.026, 4.74840245512, 13362.44970679920],
[0.026, 0.15419927428, 22759.76748529401],
[0.027, 2.39568978424, 522.57741809380],
[0.028, 0.25542748453, 103.09277421860],
[0.025, 3.32961707416, 28286.99048486120],
[0.026, 2.07987634823, 29550.14784743939],
[0.032, 1.70464933285, 26089.38761428249],
[0.023, 4.16670746048, 24176.70365835700],
[0.024, 0.08582796512, 51859.41441349179],
[0.025, 5.27240695394, 25936.85547173129],
[0.024, 0.80363857551, 77829.99768684579],
[0.023, 2.30360039127, 77410.51304297059],
[0.030, 1.21286011206, 97112.93697469679],
[0.022, 4.82094558003, 13541.42120249119],
[0.023, 2.65250267545, 52492.19815280499],
[0.026, 6.26936948934, 25939.82441714789],
[0.024, 4.92454390318, 52698.38370124219],
[0.022, 1.23470921550, 103285.11708910679],
[0.023, 3.68813881444, 26729.31670331319],
[0.022, 1.95831083558, 24356.78078864160],
[0.022, 0.78346634338, 104202.04936916218],
[0.021, 2.52931432670, 467.96499035440],
[0.024, 1.84656751628, 76571.54375522019],
[0.025, 2.55626379808, 24822.33566294780],
[0.027, 3.61440862477, 23962.02573419499],
[0.023, 1.18953680418, 141762.17980617538],
[0.020, 5.49778171394, 112231.70171963578],
[0.023, 2.60719608050, 25754.04720080480],
[0.026, 0.75788900266, 55516.41870984820],
[0.026, 2.09375500363, 134991.46920492980],
[0.020, 3.35091650179, 52595.29092702359],
[0.021, 0.36570195077, 97580.90196505119],
[0.024, 0.51085875774, 116917.76426627958],
[0.021, 5.71018496974, 60055.89543648739],
[0.019, 0.56236491686, 52125.80966124419],
[0.019, 2.85801633295, 60370.08161635699],
[0.024, 3.50657176712, 77844.22478084739],
[0.020, 0.53533403977, 26941.09952332620],
[0.019, 6.25214103463, 25973.50403466079],
[0.022, 5.13145226592, 104347.73123093879],
[0.021, 4.13407823619, 103299.34418310839],
[0.019, 0.33492578967, 102018.41617342478],
[0.019, 5.67148210198, 54509.00267602040],
[0.018, 1.90051892916, 52325.36948028299],
[0.019, 4.27364751897, 122444.98726584678],
[0.018, 2.45675888957, 104358.72611329758],
[0.018, 1.05990359493, 27780.06881107659],
[0.018, 1.43297513339, 53242.30176033840],
[0.021, 2.99876487527, 26073.67604757259],
[0.023, 1.86389686355, 116783.65521669458],
[0.018, 4.87152831033, 170049.17029103660],
[0.019, 4.89400475242, 53228.07466633679],
[0.021, 2.47295566818, 27726.97265876220],
[0.020, 4.98762998978, 104778.21075717278],
[0.021, 1.46468188731, 140652.80125408198],
[0.017, 4.05153553008, 76667.52298243798],
[0.020, 4.80985268979, 51528.79544983359],
[0.022, 0.86617331302, 119116.85160956658],
[0.023, 2.08281937549, 52225.80290505260],
[0.018, 1.69333480892, 76681.75007643958],
[0.017, 2.09406764538, 64901.25971792339],
[0.019, 5.00011023502, 105940.68546158058],
[0.019, 0.74020534937, 36109.74042167360],
[0.017, 2.93246868693, 102132.85546210999],
[0.022, 3.55902023067, 104355.49390165479],
[0.021, 3.54390310557, 106570.36967048359],
[0.018, 4.65006394461, 61279.71327726600],
[0.019, 4.43905256177, 647.01083331480],
[0.017, 2.83124480600, 132658.27281205778],
[0.018, 2.89808596608, 26091.83529483729],
[0.017, 5.67044617806, 25788.77674730500],
[0.017, 5.37178978632, 78731.67441507700],
[0.015, 5.25910515843, 150244.34299945380],
[0.019, 1.72681089737, 153.77881048480],
[0.015, 2.16472550978, 26222.01219115920],
[0.015, 1.13029685380, 25042.74830538660],
[0.015, 2.31335544105, 51852.30086649099],
[0.019, 4.38254962804, 24182.43837663380],
[0.015, 5.16465400786, 27684.08958385880],
[0.017, 3.97954718583, 207643.84320240439],
[0.016, 5.74057898460, 25352.02662804239],
[0.014, 3.42441202713, 26823.77965510599],
[0.014, 5.30168284837, 742.99006053260],
[0.014, 2.50431306810, 32132.13172294960],
[0.014, 1.36632464908, 23919.14265929160],
[0.015, 6.07490514430, 78270.33798362259],
[0.019, 4.40557078960, 49953.94964855139],
[0.014, 0.65475293554, 323.50541665740],
[0.014, 0.47093305165, 17893.62780836560],
[0.014, 1.33029112501, 129799.61842155698],
[0.017, 6.02915345940, 26667.59072857300],
[0.014, 1.17588054181, 104275.34649502118],
[0.014, 4.84032377923, 2221.85663459700],
[0.014, 5.53694881682, 77630.92568540938],
[0.013, 5.59791238730, 209812.60368468694],
[0.013, 0.84042148682, 173511.41499690176],
[0.015, 3.96416547461, 51432.81622261579],
[0.015, 3.17020350946, 176953.98994186718],
[0.014, 2.91048815444, 78257.08086582259],
[0.013, 5.34915944924, 80174.90890793978],
[0.018, 1.65795375577, 28256.66362385679],
[0.013, 3.34629064183, 25508.21555457540],
[0.016, 1.32228458025, 27669.86248985719],
[0.013, 1.38990649917, 25024.58905812189],
[0.017, 2.01249037695, 27037.07875054399],
[0.015, 1.99208068531, 52381.99183158559],
[0.013, 2.32883800921, 27005.83342755599],
[0.014, 3.86914390591, 182085.63102592478],
[0.012, 3.97054224711, 78188.92782615528],
[0.016, 5.59174105029, 25446.48957983520],
[0.014, 0.70490117614, 172402.03644480839],
[0.012, 1.54422590258, 52252.07235442399],
[0.014, 3.47518139481, 27177.61193276780],
[0.012, 5.46223056321, 107794.18751126219],
[0.012, 5.76552608362, 50167.24874398939],
[0.016, 2.18648993322, 26308.31578401300],
[0.014, 2.72148386686, 27311.72098235281],
[0.013, 0.55524977232, 75930.51303185058],
[0.012, 2.66601602132, 137210.22630911658],
[0.011, 0.61596543052, 44295.71712980940],
[0.011, 4.76091715459, 155571.81910783658],
[0.014, 5.93896401871, 52290.24557183361],
[0.011, 0.92596625175, 22625.65843570900],
[0.012, 6.19273795549, 51653.22886505459],
[0.014, 0.79969658546, 25953.79409198919],
[0.011, 2.82093111356, 77101.23472031478],
[0.011, 1.26994666311, 26312.24793727610],
[0.013, 2.88923696437, 112545.88789950538],
[0.011, 6.05528757595, 27044.19229754480],
[0.012, 3.29626000869, 52061.36699446317],
[0.011, 3.58945976808, 52712.61079524379],
[0.014, 2.79036507500, 23888.81579828719],
[0.011, 4.15810059578, 45290.65639321759],
[0.011, 2.94979930726, 58857.03113654799],
[0.012, 2.20589728666, 31415.37924995700],
[0.012, 1.34841658603, 51969.62073471119],
[0.011, 3.29585795787, 28736.35796704720],
[0.011, 0.43538573957, 24448.83362438620],
[0.010, 2.85999162474, 130226.21661243298],
[0.013, 4.41880429822, 19958.60610206760],
[0.012, 5.96394058241, 26083.97098831109],
[0.010, 5.44297146700, 163298.12945069079],
[0.012, 1.57767582029, 91805.13062721379],
[0.010, 3.83536418151, 51226.63067417859],
[0.013, 0.34187342138, 157057.10981453978],
[0.010, 1.12787053523, 78903.60671103658],
[0.010, 4.67818130014, 2111.65031337760],
[0.012, 3.56391619799, 77795.74443436819],
[0.011, 5.80720491261, 26102.13023557580],
[0.012, 5.80252382200, 27972.80430499159],
[0.011, 2.47026109919, 26010.15259759030],
[0.013, 4.60245036657, 25032.45336464809],
[0.010, 1.14221106164, 9384.84100807520],
[0.013, 5.56953201474, 22909.75735100660],
[0.010, 4.35806585483, 157586.80077963436],
[0.010, 1.11553298844, 65831.66677432480],
[0.011, 4.67108617661, 50064.15596977079],
[0.011, 2.80726281395, 81591.84508100279],
[0.009, 0.47353753060, 128106.31931499895],
[0.009, 1.42459829123, 104505.39137678158],
[0.009, 2.37565722096, 78896.49316403578],
[0.009, 4.84820485208, 24918.31489016559],
[0.011, 6.23834008870, 30171.89164827860],
[0.011, 1.65565660037, 78039.36462902068],
[0.009, 3.65734666897, 151199.94274106238],
[0.009, 5.40966654859, 130459.18546877075],
[0.010, 0.87714716556, 78366.80219894118],
[0.009, 3.04701773654, 51329.72344839720],
[0.009, 1.96005885441, 26575.53789282839],
[0.010, 1.18004009296, 50270.34151820800],
[0.009, 5.48583841069, 138319.60486120995],
[0.010, 3.21154218694, 77307.42026875199],
[0.009, 5.55407965409, 8194.27533320860],
[0.008, 1.35584545211, 12546.48193908300],
[0.009, 0.42023516699, 27223.58001346740],
[0.010, 1.76704509660, 77726.90491262719],
[0.009, 1.60501838348, 77616.69859140778],
[0.009, 5.46388323313, 16703.06213349900],
[0.009, 1.60520912676, 117893.03376878797],
[0.009, 6.23528739890, 846.08283475120],
[0.009, 5.66619352199, 50910.23880452200],
[0.009, 1.18753574623, 104197.83375581198],
[0.009, 0.69327774851, 26709.64694241340],
[0.010, 5.48870132496, 94329.77528619739],
[0.008, 1.17006056902, 78160.61665050399],
[0.009, 0.49965065220, 27573.19384827740],
[0.011, 6.20705720585, 28102.88481337200],
[0.011, 0.75657533913, 128320.75184749259],
[0.008, 3.86430794820, 103917.90082841998],
[0.009, 3.64580324894, 76784.84285065818],
[0.008, 4.52722085618, 27463.67694142000],
[0.009, 1.73726961641, 28791.51929624980],
[0.011, 1.86762532326, 214364.55718174577],
[0.008, 3.17547134507, 50903.12525752120],
[0.008, 6.23140491980, 148.07872442630],
[0.008, 0.97646930359, 19202.75325164339],
[0.008, 0.87651427964, 151.04766984290],
[0.009, 1.55645109653, 26126.03617721200],
[0.008, 3.12232090039, 22003.91463486980],
[0.008, 3.45204671122, 24203.00197815680],
[0.008, 2.50177739941, 51955.39364070959],
[0.008, 4.20326276911, 50380.54783942739],
[0.008, 2.66681931912, 130432.40216087017],
[0.010, 2.61302801987, 27170.98337386779],
[0.008, 6.15791792940, 37698.45509994840],
[0.008, 5.36718741692, 35077.37084700659],
[0.008, 0.39542025081, 183570.92173262799],
[0.008, 4.37576068847, 123200.84011627098],
[0.008, 3.44870239791, 26402.08932144380],
[0.007, 5.88380837195, 51868.24866217880],
[0.007, 4.80640660702, 26118.23000257860],
[0.008, 5.82773614091, 3328.13565628019],
[0.009, 2.53209611805, 25227.59321282139],
[0.010, 2.52793236150, 35833.22369743080],
[0.008, 4.11204744654, 53906.92863608099],
[0.008, 1.58745297967, 101011.00013959699],
[0.009, 2.57384727244, 2125.87740737920],
[0.007, 2.46084982092, 52137.67324751059],
[0.008, 5.56577535390, 50689.82616208319],
[0.007, 5.98112141065, 52179.73843641149],
[0.010, 5.16567712694, 55638.05098901359],
[0.008, 4.67643518278, 76887.93562487679],
[0.007, 4.36322743599, 155887.52156313116],
[0.009, 0.68598593831, 38.13303563780],
[0.008, 0.46194680162, 181026.24909573558],
[0.008, 0.42442705032, 182188.72380014337],
[0.009, 3.57254516611, 1265.56747862640],
[0.009, 1.65553917926, 65717.22748563958],
[0.010, 3.53066047636, 2008.55753915900],
[0.007, 3.89373397550, 1485.98012106520],
[0.010, 0.82550269560, 39763.43339365039],
[0.007, 4.33817871844, 129373.02023068098],
[0.007, 3.41340083585, 52483.36390411799],
[0.008, 1.23992323880, 76041.85279012559],
[0.007, 0.04567921269, 206.18554843720],
[0.007, 2.56169701158, 207593.84658050019],
[0.009, 1.97148507623, 365230.64398203877],
[0.007, 3.14813276839, 52061.40717623499],
[0.007, 4.86954611488, 27351.06050415239],
[0.008, 6.27520424489, 204151.27163553477],
[0.007, 5.46143749214, 25985.94062330859],
[0.008, 4.44335543148, 26057.57628056979],
[0.007, 1.00677483843, 129387.24732468258],
[0.008, 0.22314041177, 50049.92887576919],
[0.007, 3.98224449185, 13675.53025207620],
[0.007, 4.34489404354, 167850.08294774959],
[0.009, 0.71471851401, 233731.74634397859],
[0.007, 1.69935809006, 54087.00576636560],
[0.007, 6.21044393135, 203041.89308344139],
[0.007, 2.53524305485, 80382.47328510099],
[0.007, 0.03218225075, 31281.27020037200],
[0.007, 5.26037977949, 78338.49102328988],
[0.007, 3.52744190481, 52509.66222391780],
[0.007, 5.24771876203, 1795.25844372100],
[0.007, 5.20875856726, 161079.37234650398],
[0.007, 3.19471628666, 24072.92146977640],
[0.006, 1.58096793180, 143980.93691036216],
[0.009, 0.70414754528, 25169.97285559240],
[0.006, 0.15264531683, 52911.68279668019],
[0.007, 4.28578455720, 51130.65144696079],
[0.007, 3.42650023556, 29396.36903695460],
[0.007, 4.12959254769, 52174.32181044009],
[0.008, 3.79812131071, 137678.19129947099],
[0.007, 5.70602822567, 9745.32055585660],
[0.008, 0.14316432919, 136722.59155786238],
[0.007, 3.78832454636, 26189.86565983980],
[0.007, 5.44664616173, 27566.76971563859],
[0.006, 0.53269408847, 208173.53416749899],
[0.007, 3.95192199993, 145204.75475114078],
[0.006, 1.80610265750, 26830.89320210680],
[0.008, 5.80105964058, 25773.71696170459],
[0.006, 1.20705629404, 26734.91397488900],
[0.008, 3.87508349031, 52041.69723356339],
[0.007, 1.87429126900, 1905.46476494040],
[0.007, 5.68938243001, 158746.17595363196],
[0.008, 3.39884199213, 78153.50310350319],
[0.007, 1.20867598891, 61560.64729122359],
[0.008, 3.30580293572, 130419.84594697120],
[0.007, 0.39338960799, 2199.08734328700],
[0.006, 3.17982806365, 77947.31755506598],
[0.008, 0.88585179650, 220.41264243880],
[0.008, 1.46508855917, 87367.61641884019],
[0.006, 0.60809363482, 118828.96374949679],
[0.008, 5.53182088929, 53814.87580033639],
[0.007, 1.65646088833, 196137.07343261078],
[0.006, 5.74552748087, 55503.94193942859],
[0.006, 1.43996863707, 2333.19639287200],
[0.006, 1.91186990644, 130652.81480330898],
[0.006, 5.06448767269, 50444.68393021580],
[0.006, 1.09838300878, 183674.70392120857],
[0.007, 0.35338852938, 103932.12792242158],
[0.006, 0.28924808590, 54374.89362643540],
[0.006, 2.72829193454, 76255.15188556358],
[0.006, 3.92290484480, 130289.95251073639],
[0.007, 1.27402494790, 46046.50924364180],
[0.007, 2.96149281662, 52755.49387014719],
[0.008, 2.23784693584, 25466.15934073500],
[0.006, 1.78075029765, 78786.28684281638],
[0.008, 4.71972114899, 25014.29411738339],
[0.006, 5.52798470860, 103498.41618454478],
[0.008, 5.43345902063, 949.17560896980],
[0.006, 5.55571041746, 130446.62925487179],
[0.007, 5.36488899884, 77940.20400806518],
[0.006, 0.52080930820, 25004.82290928060],
[0.006, 3.48878406062, 123668.80510662538],
[0.008, 3.02023688443, 26076.85744131030],
[0.008, 5.31586228888, 24388.62392507099],
[0.006, 5.06257578673, 78469.89497315978],
[0.006, 4.79504045120, 52177.29075585669],
[0.006, 4.57296057068, 35211.47989659159],
[0.006, 5.37176342301, 53093.73656913019],
[0.006, 4.26973755729, 130363.24963659538],
[0.006, 5.75364706874, 78580.10129437919],
[0.006, 1.99314462977, 130435.63437251298],
[0.006, 1.55918658153, 39450.35284837340],
[0.008, 4.77256284659, 142871.55835826878],
[0.006, 6.09530056324, 103395.32341032618],
[0.006, 1.29134609458, 102975.83876645098],
[0.006, 1.83917095242, 24402.85101907260],
[0.005, 3.63216834248, 43981.53094993980],
[0.005, 5.64850202903, 28774.62523611540],
[0.007, 4.22124824964, 26098.94884183810],
[0.005, 5.85936922514, 156314.11975400720],
[0.005, 4.97283396704, 102659.44689679438],
[0.005, 1.46473339833, 181659.72224941078],
[0.006, 0.71584342921, 104276.83096772949],
[0.007, 2.49362242764, 51439.92976961659],
[0.006, 0.02944876240, 20043.67456019880],
[0.006, 2.19480801460, 12412.37288949800],
[0.007, 3.28347851449, 183145.01295611399],
[0.005, 3.46807375357, 50536.73676596039],
[0.006, 6.20804958899, 114.39910691340],
[0.006, 2.26035174588, 103718.82882698359],
[0.007, 3.65318062648, 143005.66740785379],
[0.005, 0.12859263642, 51596.11869614960],
[0.007, 0.75531928973, 77520.71936418998],
[0.005, 1.52974136650, 26724.89941359840],
[0.007, 3.81960920375, 62197.64356324779],
[0.005, 5.08212104486, 52609.51802102519],
[0.005, 4.49337901115, 50007.04580086580],
[0.005, 5.03210861040, 1045.15483618760],
[0.005, 6.27674019656, 1272.68102562720],
[0.006, 3.84313039676, 81604.32185142238],
[0.006, 3.27974922227, 144916.86689107097],
[0.005, 0.50987626702, 299.12639426920],
[0.006, 5.10596879808, 78313.70604662679],
[0.005, 4.14575201906, 53867.97195265079],
[0.007, 4.53402175332, 166740.70439565618],
[0.005, 5.57648480152, 106262.81204951399],
[0.007, 3.08562485832, 52027.72755872209],
[0.006, 2.81224506925, 25450.90686955000],
[0.005, 1.51400872659, 28199.55345495179],
[0.006, 1.58495517428, 47803.92991637420],
[0.006, 2.79561551205, 52286.01260436779],
[0.007, 1.80630878142, 23549.65463732060],
[0.007, 3.72396318065, 198489.93958638259],
[0.005, 5.74129147264, 103189.13786188899],
[0.006, 2.94825789213, 56259.79478985279],
[0.005, 4.96546514085, 78413.27262185719],
[0.005, 1.78518845730, 129586.31932611899],
[0.005, 0.31701812829, 78800.51393681798],
[0.005, 0.55478931159, 52817.21984488739],
[0.006, 1.18448496437, 25600.26839032000],
[0.005, 0.42862127579, 179172.74704605396],
[0.006, 3.74336258475, 26247.20487636640],
[0.005, 2.46583763315, 123758.29085447139],
[0.006, 5.09461941443, 53124.98189211819],
[0.006, 0.42320281908, 130443.39704322898],
[0.006, 2.57896380153, 26014.60601571519],
[0.005, 2.23635663946, 24513.05734029200],
[0.005, 5.98752668018, 104344.98400739678],
[0.006, 0.32131472009, 102872.74599223239],
[0.005, 1.95885559875, 53771.99272543299],
[0.007, 2.16257501519, 52024.75861330549],
[0.006, 1.37111815532, 51120.35650622229],
[0.005, 0.15128494504, 78683.19406859778],
[0.005, 4.00810087423, 48713.56157728320],
[0.006, 1.45883115780, 76152.05911134499],
[0.005, 1.72421399237, 28309.75977617119],
[0.005, 0.71424864998, 102755.42612401219],
[0.006, 0.03283607980, 78149.27013603736],
[0.006, 2.69429372458, 78378.14871340781],
[0.006, 1.12570261398, 25647.07785669659],
[0.005, 3.60259399819, 11.04570026390],
[0.006, 4.83171247280, 240452.46032331997],
[0.005, 3.71949948652, 26411.40855823160],
[0.005, 4.55172986205, 79330.20490191258],
[0.005, 0.84232799985, 24551.92639860479],
[0.005, 3.74067330742, 52797.55008398759],
[0.005, 2.92277012561, 54190.78795494619],
[0.005, 3.96038779086, 25657.37279743509],
[0.005, 4.54502031861, 102769.65321801379],
[0.006, 2.35342867622, 27665.24668402200],
[0.005, 3.72877345305, 78213.71280281838],
[0.005, 6.19447408823, 26191.68533015479],
[0.004, 0.53733592588, 77314.53381575279],
[0.004, 1.39917225370, 26290.15653674829],
[0.005, 4.85332036328, 54344.56676543099],
[0.006, 0.92030946706, 23336.35554188260],
[0.006, 0.37487337241, 53265.51507434200],
[0.004, 2.01983013209, 156547.08861034497],
[0.005, 6.13113074115, 26026.17716683400],
[0.004, 4.94928690334, 52663.44103440259],
[0.005, 0.40443457223, 28096.46068073319],
[0.004, 4.40405080911, 130593.29451835579],
[0.004, 4.17440698686, 91919.56991589899],
[0.005, 3.71777436660, 70383.62027138360],
[0.005, 1.52885825328, 51102.19725895759],
[0.004, 1.71609047005, 23762.95373275860],
[0.004, 0.55287089413, 26933.98597632540],
[0.005, 6.02225706023, 128220.75860368418],
[0.005, 1.78226900229, 187167.27548807819],
[0.005, 3.32000517354, 45424.76544280259],
[0.005, 4.64166221826, 24824.74577899600],
[0.005, 3.45997061965, 48847.67062686820],
[0.006, 2.62272580920, 52171.87412988529],
[0.004, 3.62789650971, 53029.00266490040],
[0.006, 2.53652345505, 52190.03337714999],
[0.004, 0.08235213515, 58220.03486452380],
[0.006, 2.56621666334, 51876.67988887919],
[0.005, 5.04323059321, 41494.55574658299],
[0.004, 3.42433134364, 53311.48315504160],
[0.005, 5.60899913389, 1911.19948321720],
[0.004, 1.13990612191, 26183.88236879199],
[0.004, 4.24142693734, 189853.99758261937],
[0.004, 0.21521651200, 19336.86230122839],
[0.005, 0.30306745520, 103883.64757594238],
[0.004, 6.09719517639, 77417.62658997139],
[0.004, 3.38148734662, 316.39186965660],
[0.004, 1.40344660688, 25885.64974640009],
[0.006, 2.54556610763, 54060.70744656579],
[0.005, 4.62289027765, 78339.97549599818],
[0.004, 6.06868163269, 84944.93427812219],
[0.005, 0.64970018860, 3178.14579056760],
[0.004, 5.48109256360, 78225.57638908479],
[0.004, 3.76404568854, 153084.84390447979],
[0.004, 0.18748530762, 52489.99246301800],
[0.005, 1.74044114280, 79315.97780791098],
[0.004, 6.06406108213, 52161.57918914679],
[0.005, 0.28595106407, 26161.20026743319],
[0.004, 2.11074347112, 189386.03259226496],
[0.004, 0.59715530740, 16342.58258571760],
[0.004, 3.91091220587, 101703.15774082378],
[0.004, 1.16130290140, 50264.60679993120],
[0.004, 5.51188515445, 78043.29678228378],
[0.005, 4.39350322600, 53757.76563143139],
[0.004, 5.15437140585, 24285.53115085240],
[0.005, 2.15280343086, 48997.66049258080],
[0.004, 5.35316514819, 104984.39630560997],
[0.005, 5.75390640070, 51841.95034237900],
[0.004, 1.52206374281, 26267.98027185880],
[0.004, 4.66563868021, 104127.26777059489],
[0.004, 2.36671017385, 19.66976089979],
[0.004, 5.10954286080, 31722.93687092660],
[0.004, 1.54518951672, 52206.13314415280],
[0.004, 4.16791904155, 130285.73689738619],
[0.004, 2.93299901703, 31775.53351052620],
[0.005, 4.47247592301, 51112.49219969609],
[0.004, 2.41568769208, 51534.39272140940],
[0.004, 1.74441095464, 26248.31051095900],
[0.004, 5.23856038893, 52396.21892558720],
[0.004, 4.12254586219, 27441.65188659100],
[0.005, 5.17529407091, 19367.18916223280],
[0.004, 4.21064422396, 26279.35140768579],
[0.005, 4.41570881449, 78057.52387628538],
[0.004, 5.30327887066, 25672.35065096209],
[0.005, 1.10382058499, 31903.01400121119],
[0.005, 2.71619626622, 24952.22626968100],
[0.004, 2.28793023586, 235900.50682626115],
[0.004, 1.58884724433, 128747.35003836859],
[0.004, 5.78862899204, 22779.43724619380],
[0.004, 4.22021430561, 1731.12235293260],
[0.004, 4.68318371027, 103814.80805420138],
[0.004, 3.29575966354, 76137.83201734339],
[0.004, 5.47487283809, 132350.71519108818],
[0.004, 2.99265295426, 77741.13200662879],
[0.004, 3.47889610610, 53661.09698985160],
[0.004, 4.76216346874, 156740.71794488319],
[0.004, 1.47799681769, 120417.67842777158],
[0.004, 2.78305398087, 133767.65136415116],
[0.004, 2.87953962922, 25862.07387316400],
[0.004, 1.92972990240, 15406.65260500879],
[0.005, 1.81394930430, 130866.11389874699],
[0.004, 2.62752187758, 24602.61243487099],
[0.004, 3.12567603415, 20894.53608277640],
[0.004, 1.00432915295, 149288.74325784517],
[0.004, 3.47489986602, 26114.20146137400],
[0.004, 4.27251739299, 104991.50985261079],
[0.004, 2.20022040184, 52073.84376488279],
[0.004, 3.77568584773, 14.22709400160],
[0.004, 1.65179392234, 51006.21803173979],
[0.004, 0.72729563393, 25865.04281858059],
[0.004, 5.61140287619, 53258.88651544199],
[0.004, 1.55115346866, 53438.96364572659],
[0.005, 0.91157457367, 25665.23710396129],
[0.005, 6.11073147567, 156507.74908854539],
[0.003, 3.12711312875, 80462.79676800959],
[0.004, 2.21068358470, 76777.72930365738],
[0.004, 0.82472101949, 30689.85326053720],
[0.004, 3.85651603357, 26513.81191808820],
[0.003, 3.76311835707, 77.75054398390],
[0.004, 0.76897521016, 23384.28698689860],
[0.003, 4.58555781046, 57503.28239153120],
[0.004, 3.82967402925, 104454.70534051539],
[0.003, 2.47448927310, 77956.15180375299],
[0.004, 4.93160467297, 391318.54712361295],
[0.004, 1.56118199279, 1055.44977692610],
[0.004, 0.77257538538, 79994.83177765518],
[0.005, 3.11675458540, 26149.62911631439],
[0.003, 4.05641745083, 104248.51979207818],
[0.004, 2.97133561512, 30110.16567353840],
[0.004, 5.60420829330, 156520.30530244438],
[0.004, 5.59378669038, 51315.49635439559],
[0.003, 5.33733887891, 52309.91533273340],
[0.003, 5.47155908699, 149846.19399604559],
[0.003, 0.19039417498, 50290.90511973100],
[0.003, 0.55626990901, 130005.80396999417],
[0.004, 1.22491945176, 25927.49577218939],
[0.004, 1.83119228357, 132028.58860315479],
[0.004, 3.78910193450, 25970.58327335399],
[0.004, 4.12310730501, 33856.26969826880],
[0.004, 3.29497466474, 208276.62694171758],
[0.003, 1.23800163682, 193937.98608932379],
[0.004, 3.81093761011, 49424.25868345679],
[0.004, 6.17742034131, 76991.02839909539],
[0.003, 2.37855052298, 25459.05155552409],
[0.003, 0.06662548789, 54824.26110862140],
[0.003, 0.00882668027, 78571.26704569219],
[0.004, 3.50355655289, 33480.35754365900],
[0.004, 1.42998120813, 23446.56186310200],
[0.004, 4.57967744099, 52213.93931878620],
[0.004, 4.30793307856, 2538.24850425360],
[0.004, 2.64175466237, 80596.90581759460],
[0.004, 2.23067570586, 104819.57755665119],
[0.004, 2.10867686930, 27331.39074325260],
[0.003, 3.74321552731, 28471.09615635040],
[0.003, 5.35951703976, 233681.74972207437],
[0.004, 1.44726666359, 25907.82601128960],
[0.003, 0.77055249403, 23389.45169419700],
[0.004, 5.53731910534, 52098.05573916449],
[0.004, 2.71065844730, 107679.74822257696],
[0.003, 4.85884222947, 1063.31408345230],
[0.003, 6.10322230645, 48091.81777644400],
[0.003, 0.57378510632, 154194.22245657316],
[0.003, 4.65504051632, 25896.45487546260],
[0.003, 2.07685199898, 3.93215326310],
[0.004, 4.67601599622, 18073.70493865020],
[0.003, 4.62237776277, 21716.02677480000],
[0.003, 2.40811934972, 76998.14194609619],
[0.004, 1.45941637429, 1073.60902419080],
[0.003, 4.06965227350, 32808.61712091560],
[0.003, 3.54974279869, 23401.18104703300],
[0.003, 5.94935193305, 6751.04084034580],
[0.003, 4.32590129932, 52400.15107885030],
[0.003, 1.93788940079, 45455.09230380700],
[0.003, 6.08303870194, 53399.62412392700],
[0.003, 4.45999574391, 127098.90328117118],
[0.003, 5.45176028820, 26061.60482177439],
[0.003, 2.26429696537, 27047.02600153180],
[0.004, 1.93735592711, 26603.36701266720],
[0.003, 2.94612910423, 27039.97976483379],
[0.004, 3.64314833794, 860.30992875280],
[0.004, 2.04162116492, 27623.87988454360],
[0.004, 1.02413610685, 25991.92391435639],
[0.004, 3.72190941745, 51257.87599716660],
[0.003, 0.83533616968, 78262.22495201428],
[0.004, 5.84174581609, 25650.25925043430],
[0.003, 3.86698088130, 56777.75640211140],
[0.004, 0.94091162922, 23735.03698780239],
[0.003, 2.87479269049, 159855.55450572536],
[0.004, 2.92372103776, 104358.24112519680],
[0.003, 5.50683793531, 25928.60140678200],
[0.003, 1.50282981980, 4371.87636677420],
[0.003, 2.10941795435, 60170.33472517260],
[0.003, 1.71064218785, 170068.84005193636],
[0.003, 1.97431548371, 104426.39416486409],
[0.003, 2.96711706073, 25984.12095299360],
[0.003, 1.86795145608, 126067.63934109679],
[0.003, 4.74630310296, 54879.42243782400],
[0.004, 3.71365034796, 29580.47470844380],
[0.003, 4.20767161544, 128843.32926558638],
[0.003, 0.91166163253, 76468.45098100159],
[0.003, 6.20945940475, 50160.82461135059],
[0.003, 6.10137777265, 52164.76058288449],
[0.003, 0.31852065143, 28632.57577846660],
[0.003, 2.88816579373, 27360.58416720139],
[0.003, 5.29083364884, 2751.54759969160],
[0.003, 0.87901414893, 1699.27921650320],
[0.003, 0.12942378280, 203375.74902421076],
[0.003, 1.88640533644, 27353.47062020059],
[0.003, 3.77660990144, 24787.07632336920],
[0.003, 5.26339958526, 289185.69166150293],
[0.003, 1.34477523795, 1169.58825140860],
[0.003, 0.07928565452, 104241.40624507738],
[0.003, 4.47916732925, 38634.38508065720],
[0.004, 1.37420794262, 128857.55635958798],
[0.003, 2.08343776186, 50476.52706664519],
[0.003, 4.23656246406, 76358.24465978218],
[0.003, 5.54498269246, 61921.12683900499],
[0.003, 3.80268685478, 25384.26995695679],
[0.003, 5.22182880098, 3462.24470586520],
[0.003, 0.61479556097, 171292.65789271498],
[0.003, 3.12135348664, 162810.49469943656],
[0.003, 4.22351187737, 67608.75720795698],
[0.003, 5.30037747699, 51554.06248230919],
[0.003, 4.58024970278, 34102.10134449819],
[0.003, 2.07639441349, 24072.23205541439],
[0.003, 4.65503825059, 104874.18998439058],
[0.003, 4.53866780815, 28908.73428570040],
[0.003, 1.00191312140, 155460.92337225520],
[0.003, 2.05553254051, 176332.24614102798],
[0.003, 3.94870291510, 155475.15046625677],
[0.003, 1.43273740893, 24719.24288872919],
[0.003, 0.23823986548, 24510.55959912640],
[0.003, 5.21326346293, 1639.06951718800],
[0.003, 2.53461972944, 51861.62010327879],
[0.003, 4.13978656372, 33917.99567300899],
[0.003, 4.34295741397, 16964.32638655680],
[0.003, 0.28015371448, 169093.57054942797],
[0.003, 2.49492450438, 636.99627202420],
[0.003, 4.20183911478, 149642.26895951436],
[0.003, 0.73100534966, 35679.44488694599],
[0.003, 1.18977971170, 143164.96914264598],
[0.003, 1.17691552034, 52145.47942214399],
[0.003, 4.94963823249, 49637.55777889479],
[0.003, 3.00732745961, 24705.01579472759],
[0.003, 5.76323456196, 49976.71893986139],
[0.003, 4.83245208446, 156523.53751408719],
[0.002, 3.69719041336, 24616.15011451060],
[0.003, 0.18439316147, 78597.56536549199],
[0.003, 4.98373933018, 102129.75593169978],
[0.003, 0.02228487734, 1.48447270830],
[0.003, 4.06250318984, 97466.46267636596],
[0.003, 2.65726234287, 13705.85711308060],
[0.002, 0.12883868680, 149756.70824819960],
[0.003, 2.82299563379, 53132.09543911899],
[0.003, 5.99061509510, 29864.33402730900],
[0.003, 3.93018711070, 17098.43543614181],
[0.002, 4.22698039366, 10681.25053656540],
[0.002, 1.31889013785, 25572.43927048119],
[0.002, 3.49816744164, 51092.72605085480],
[0.003, 1.52361691660, 78265.19389743089],
[0.003, 0.52188463522, 52277.76880141400],
[0.003, 3.80600862869, 25124.50043860279],
[0.003, 6.14366757538, 48153.54375118419],
[0.002, 0.58190501461, 27573.88326263939],
[0.003, 5.63901497713, 106470.37642667518],
[0.002, 3.36639066096, 42430.48572729180],
[0.003, 3.08628517069, 4083.98850670440],
[0.002, 6.13024035669, 104035.22069664019],
[0.003, 1.81280963372, 104401.60918820098],
[0.003, 3.34404708133, 130020.03106399579],
[0.002, 1.22333771717, 76094.94894243999],
[0.002, 0.63542334090, 1485.29070670320],
[0.003, 5.24568241255, 6885.14988993081],
[0.003, 2.46305012048, 133882.09065283637],
[0.002, 0.84094631125, 163766.09444104519],
[0.003, 2.12660879166, 42790.96527507320],
[0.002, 2.98805690719, 26235.98186600050],
[0.003, 3.26197855217, 156531.30018480320],
[0.002, 4.50734435605, 25248.93385382380],
[0.002, 4.32859791317, 1685.05212250160],
[0.002, 5.62335584014, 28213.78054895339],
[0.002, 3.87492323552, 199599.31813847594],
[0.002, 2.60597304148, 26713.57333388659],
[0.003, 4.15733644316, 51688.17153189420],
[0.003, 4.33101389874, 220025.88923089797],
[0.002, 4.46567523081, 31127.49138988719],
[0.002, 3.66265576771, 26397.18146422999],
[0.002, 4.68312774052, 49850.85687433279],
[0.002, 4.51215350981, 52812.80255517260],
[0.003, 3.56621882535, 154408.65498906677],
[0.002, 3.95708432187, 1574.84580128220],
[0.002, 2.41940194318, 104668.00443595338],
[0.003, 0.24921211552, 25778.62481891839],
[0.002, 3.18370791629, 207114.15223730978],
[0.002, 4.17768592199, 51734.98099827079],
[0.002, 1.74283332135, 76532.58707178998],
[0.002, 1.36339547692, 6044.22858137540],
[0.002, 2.82219230315, 63786.35824152260],
[0.002, 5.27165023098, 75085.56363415498],
[0.002, 5.76735720320, 25661.99436506020],
[0.002, 5.24666183170, 24734.15439655740],
[0.002, 5.31625926462, 24998.19435038059],
[0.002, 0.17868115875, 177287.84588263658],
[0.003, 5.47127542511, 27388.72995977919],
[0.002, 2.48055036253, 25543.98508247800],
[0.002, 0.16253031708, 23113.29318696320],
[0.003, 1.68453793975, 2703.61615467560],
[0.002, 1.17069889009, 53551.58008299420],
[0.003, 3.06893058902, 230239.17477710897],
[0.003, 5.00145362139, 180496.55813064100],
[0.002, 1.90098213386, 20272.79228193720],
[0.003, 5.06877735444, 440.82528487760],
[0.002, 1.33626564472, 196156.74319351057],
[0.002, 4.50940380454, 65538.25598994759],
[0.002, 4.55891488212, 2324.94940881560],
[0.002, 0.21025125051, 18227.48374913500],
[0.002, 0.58359043648, 156377.85565231059],
[0.002, 4.57189351312, 26926.87242932459],
[0.002, 3.79747475767, 65851.33653522459],
[0.002, 0.30139015500, 50951.98844236979],
[0.002, 3.94570007959, 225687.22128005017],
[0.002, 0.99415397716, 2064.97829370200],
[0.002, 3.49827019018, 78905.12298646157],
[0.002, 4.16512398869, 24864.08530079559],
[0.002, 0.47605198546, 107692.22499299659],
[0.002, 0.02213914405, 197092.67317421938],
[0.002, 0.35795159068, 104301.61594439259],
[0.002, 2.54426644231, 249268.47945736776],
[0.002, 0.35872697789, 25462.23294926180],
[0.002, 0.03956368481, 24189.55192363460],
[0.002, 2.00682967230, 28786.35458895140],
[0.002, 1.64612572499, 40738.70289615879],
[0.002, 1.77509184801, 22595.33157470459],
[0.002, 1.93881159123, 78697.42116259939],
[0.002, 1.06567957268, 21562.24796431520],
[0.003, 4.58782698256, 156954.01704032117],
[0.002, 0.84740706727, 24494.89809302729],
[0.002, 5.98697403459, 283524.35961235070],
[0.002, 4.02135788869, 26238.95081141709],
[0.002, 3.98649649262, 24808.10856894620],
[0.002, 3.06252327958, 57369.17334194619],
[0.002, 6.10258403438, 78115.63070029629],
[0.002, 0.19431714321, 55484.27217852879],
[0.002, 4.26819419359, 90989.16285949759],
[0.002, 2.94941610280, 22065.64060961000],
[0.002, 4.53722544295, 52355.88341343300],
[0.002, 1.97399498955, 430.53034413910],
[0.002, 1.99872081555, 24932.54198416719],
[0.002, 0.37032643194, 26500.27423844859],
[0.002, 3.83480132336, 307.55762096960],
[0.002, 5.81356382744, 51538.81001112419],
[0.002, 6.20773606719, 49.99662190420],
[0.002, 2.40589345998, 77929.85348395319],
[0.002, 4.51719783127, 21067.98465416099],
[0.002, 2.06311358499, 23233.26276766400],
[0.002, 0.29430089395, 24765.22549404280],
[0.002, 2.21513587213, 25675.53204469980],
[0.002, 2.29291278322, 27410.58078910560],
[0.002, 2.39356701559, 242985.40360737636],
[0.002, 4.28957020884, 71378.55953479178],
[0.002, 5.41199778568, 23704.71012679799],
[0.002, 0.54252133289, 3.88133535800],
[0.002, 5.88236623932, 52072.02409456780],
[0.002, 5.78749542412, 78373.91574594198],
[0.002, 5.69226787602, 51040.12941125520],
[0.002, 4.42185841709, 93696.66034953119],
[0.002, 5.15491529148, 78112.66175487968],
[0.002, 2.30493903824, 27883.16158529519],
[0.002, 5.53948896377, 87253.17713015496],
[0.002, 4.75957265478, 52336.21365253320],
[0.002, 6.08199781417, 18043.37807764579],
[0.002, 0.73324052336, 25757.28417791599],
[0.002, 0.91928644358, 52186.85198341230],
[0.002, 3.22142261212, 104771.09721017198],
[0.002, 2.01671301400, 46564.47085590040],
[0.002, 4.39545799671, 41520.85406638280],
[0.002, 2.52858429504, 26140.99929388859],
[0.002, 2.07561943546, 53654.67285721279],
[0.002, 0.08977124652, 25135.82651831460],
[0.002, 1.67350036401, 66826.60603773296],
[0.002, 4.57268426145, 158116.49174472899],
[0.002, 2.84194927894, 78249.48233072099],
[0.002, 3.07002924674, 23432.33476910039],
[0.002, 4.11559657607, 123554.36581794015],
[0.002, 0.05687800902, 26034.80698925980],
[0.002, 4.28354458896, 24484.60315228879],
[0.002, 3.24222429199, 21509.65132471559],
[0.002, 2.52315832958, 210614.42461581077],
[0.002, 4.44247371827, 148532.89040742096],
[0.002, 0.11737800376, 146505.58156934578],
[0.002, 2.41371362390, 54862.52837768960],
[0.002, 4.66022680664, 247223.17092456558],
[0.002, 3.79260774499, 3308.46589538040],
[0.002, 5.83454304626, 2974.60995461100],
[0.002, 5.37878500160, 77622.29586298359],
[0.002, 1.63153524958, 99979.73619952259],
[0.002, 5.18613735503, 50600.96048186620],
[0.002, 2.55420547959, 76064.62208143558],
[0.002, 4.05996888958, 24502.76239955349],
[0.002, 2.47809526116, 179966.86716554637],
[0.002, 1.25528265056, 50912.64892057020],
[0.002, 0.75306774592, 235746.72801577637],
[0.002, 2.97464643769, 31219.54422563180],
[0.001, 0.17722772219, 158438.61833266239],
[0.002, 4.94589808424, 168959.46149984296],
[0.002, 0.63110575282, 415.55249061210],
[0.001, 0.77799418557, 299398.97720771394],
[0.002, 5.97867896248, 164721.69418265377],
[0.002, 5.62955025847, 21819.80896338059],
[0.001, 4.93638931294, 27993.36790651460],
[0.002, 6.22578827437, 74935.57376844239],
[0.002, 1.03965665113, 1802.37199072180],
[0.001, 5.61994219678, 50690.51557644519],
[0.002, 5.02281046549, 422.66603761290],
[0.001, 3.57619837497, 209658.82487420217],
[0.002, 0.11249539090, 38469.94917006779],
[0.002, 0.62470424533, 51745.27593900929],
[0.001, 0.71806518278, 28928.40404660019],
[0.002, 3.91669753023, 76352.50994150538],
[0.002, 3.05277164813, 225.82926841020],
[0.001, 4.33602746737, 4601.95011896300],
],
# R1
[
[217347.739, 4.65617158663, 26087.90314157420],
[44141.826, 1.42385543975, 52175.80628314840],
[10094.479, 4.47466326316, 78263.70942472259],
[2432.804, 1.24226083435, 104351.61256629678],
[1624.367, 0.00000000000, 0.00000000000],
[603.996, 4.29303116561, 130439.51570787099],
[152.851, 1.06060779810, 156527.41884944518],
[39.202, 4.11136751416, 182615.32199101939],
[17.760, 4.54424653085, 27197.28169366760],
[17.999, 4.71193725810, 24978.52458948080],
[10.154, 0.87893548494, 208703.22513259359],
[8.086, 3.00540854890, 25028.52121138500],
[4.444, 2.13639058123, 20426.57109242200],
[4.393, 1.48074475165, 51066.42773105500],
[3.510, 3.21171223697, 1059.38193018920],
[3.133, 5.23846336855, 21535.94964451540],
[2.650, 3.92968881423, 234791.12827416777],
[2.498, 2.02623950395, 24498.83024629040],
[2.011, 1.23911360588, 53285.18483524180],
[1.963, 4.04524902962, 5661.33204915220],
[1.546, 2.61849590442, 26617.59410666880],
[1.542, 2.35659537465, 27043.50288318280],
[1.417, 1.37876323533, 1109.37855209340],
[1.295, 5.19094850935, 46514.47423399620],
[1.241, 0.21246226135, 11322.66409830440],
[1.090, 6.23733263925, 27147.28507176339],
[1.271, 0.56437938715, 25132.30339996560],
[1.120, 0.86374628388, 57837.13833230060],
[1.005, 3.28272284427, 37410.56723987860],
[1.177, 4.53194022227, 77154.33087262919],
[0.841, 5.96261035419, 14765.23904326980],
[0.935, 2.37277497611, 25661.30495069820],
[0.742, 0.77751594919, 32858.61374281979],
[0.736, 4.06885296570, 1589.07289528380],
[0.712, 2.70884051645, 16983.99614745660],
[0.863, 5.55308682281, 25558.21217647960],
[0.707, 0.92992556568, 30639.85663863300],
[0.696, 0.69734796212, 260879.03141574195],
[0.678, 2.02193885930, 26068.23338067440],
[0.608, 0.85708468483, 4551.95349705880],
[0.546, 5.38138962861, 26091.78447693220],
[0.608, 3.65993973133, 25448.00585526019],
[0.597, 4.64867954048, 26080.78959457339],
[0.572, 3.50125649521, 10213.28554621100],
[0.515, 4.83662922562, 50586.73338786459],
[0.532, 5.21855381213, 22645.32819660879],
[0.572, 0.62751016416, 13521.75144159140],
[0.516, 3.89421000089, 83925.04147387479],
[0.507, 5.55466020276, 12566.15169998280],
[0.606, 4.50215566301, 28306.66024576099],
[0.533, 0.93587795381, 26107.57290247399],
[0.435, 5.79043985706, 43071.89928903080],
[0.436, 5.86659160961, 25035.63475838580],
[0.429, 0.26260280461, 36301.18868778519],
[0.472, 6.00507778421, 77204.32749453338],
[0.443, 3.86758570847, 26084.02180621620],
[0.487, 4.23950195756, 26095.01668857500],
[0.406, 5.60324652352, 52705.49724824299],
[0.523, 0.06439941262, 25021.40766438420],
[0.379, 1.95647626585, 72602.37737557039],
[0.390, 3.81996185881, 426.59819087600],
[0.418, 2.77521418660, 41962.52073693740],
[0.453, 0.72803137250, 529.69096509460],
[0.358, 6.00165335616, 33326.57873317420],
[0.347, 1.39524259509, 23969.13928119580],
[0.340, 0.24111380317, 26301.20223701220],
[0.325, 4.78747749132, 23869.14603738740],
[0.290, 3.04044859601, 53235.18821333759],
[0.326, 1.30033833957, 103242.23401420339],
[0.316, 2.22791434675, 19317.19254032860],
[0.264, 3.93160763696, 6770.71060124560],
[0.332, 3.59235758173, 51220.20654153979],
[0.223, 2.76528831516, 103292.23063610759],
[0.215, 3.97996009773, 56727.75978020720],
[0.235, 2.24050503260, 25874.60404613620],
[0.215, 6.16660008496, 51646.11531805379],
[0.208, 2.74551899929, 40853.14218484400],
[0.204, 3.44654782597, 9103.90699411760],
[0.197, 0.80026289238, 27676.97603685800],
[0.205, 3.20844012088, 18849.22754997420],
[0.196, 1.99924288764, 48733.23133818299],
[0.218, 2.11865566044, 73711.75592766379],
[0.189, 0.65681038131, 110012.94461544899],
[0.207, 5.89082708705, 31749.23519072640],
[0.184, 3.74837387583, 286966.93455731618],
[0.174, 5.81264188702, 68050.42387851159],
[0.163, 4.00380715262, 79373.08797681599],
[0.152, 5.07389967152, 52156.13652224860],
[0.151, 2.83369443311, 955.59974160860],
[0.151, 0.40953650210, 26514.50133245020],
[0.147, 2.32191248197, 38654.05484155699],
[0.154, 3.26437373895, 38519.94579197200],
[0.185, 0.98966099528, 29530.47808653960],
[0.150, 3.69230644689, 65697.55772473979],
[0.132, 2.71837382155, 77734.01845962799],
[0.140, 2.05736044462, 6283.07584999140],
[0.122, 3.31361750281, 62389.09182935939],
[0.123, 2.07840148125, 25668.41849769900],
[0.118, 0.51913709271, 51535.90899683439],
[0.121, 2.15433834534, 52179.68761850640],
[0.151, 2.66028539824, 25654.19140369739],
[0.113, 2.33243126122, 78793.40038981718],
[0.124, 3.13058661995, 51109.31080595839],
[0.150, 2.60376479044, 639.89728631400],
[0.123, 2.65137961558, 51123.53789995999],
[0.106, 1.31393069594, 47623.85278608960],
[0.112, 5.00798069297, 98690.28051714458],
[0.107, 5.12738291017, 99799.65906923798],
[0.123, 6.13795219131, 1066.49547719000],
[0.106, 1.42997322881, 52168.69273614759],
[0.104, 4.51477063494, 25234.70675982219],
[0.120, 4.06567300860, 45892.73043315699],
[0.092, 4.72811907093, 2118.76386037840],
[0.112, 4.78983902693, 53131.40602475700],
[0.096, 5.03438502363, 32370.97899156560],
[0.091, 4.22099920434, 50057.04242277000],
[0.091, 4.35481864546, 129330.13715577759],
[0.106, 0.14583281261, 12432.04265039780],
[0.084, 0.32848825294, 1052.26838318840],
[0.084, 5.81442139422, 129380.13377768178],
[0.093, 0.34539006564, 77308.10968311399],
[0.078, 1.17633266287, 76674.63652943878],
[0.107, 1.01316358023, 52182.91983014920],
[0.082, 6.11445014523, 79323.09135491178],
[0.085, 2.50332044483, 7238.67559160000],
[0.072, 1.56170832500, 49957.04917896160],
[0.076, 1.62577226881, 15874.61759536320],
[0.091, 5.75408440781, 24491.71669928959],
[0.092, 3.97747935513, 52195.47604404819],
[0.068, 0.44378826429, 91785.46086631398],
[0.078, 0.63585741399, 52171.92494779040],
[0.064, 2.57311321703, 94138.32702008578],
[0.065, 2.12942233842, 7.11354700080],
[0.062, 3.70751240431, 136100.84775702318],
[0.068, 1.18946361248, 54394.56338733519],
[0.079, 3.35596277474, 52389.10537858640],
[0.064, 5.09677055426, 51962.50718771040],
[0.060, 6.25938912295, 24505.94379329119],
[0.061, 0.73867692725, 82815.66292178139],
[0.063, 1.29883580487, 2218.75710418680],
[0.070, 5.28692696943, 45405.09568190280],
[0.057, 1.92365363632, 20760.42703319140],
[0.054, 0.89448628916, 71980.63357473118],
[0.051, 4.71710385051, 105460.99111839019],
[0.054, 6.22009952451, 44937.13069154840],
[0.052, 3.43365769233, 25551.09862947879],
[0.052, 5.77930503293, 66941.04532641819],
[0.048, 0.51937745535, 313054.83769889036],
[0.052, 5.71476972233, 103821.92160120218],
[0.047, 3.82203240163, 53764.87917843220],
[0.050, 5.76150579489, 25938.33994443960],
[0.047, 5.52705163618, 77837.11123384659],
[0.043, 5.84994474092, 63498.47038145279],
[0.052, 2.63638299982, 18093.37469954999],
[0.042, 5.39178421925, 64741.95798313119],
[0.041, 1.87113963554, 125887.56221081219],
[0.045, 4.04603530632, 55618.38122811380],
[0.039, 3.50934954924, 52602.40447402440],
[0.048, 0.72400634326, 33967.99229491319],
[0.051, 6.02427997984, 13655.86049117640],
[0.038, 0.09359107033, 88476.99497093359],
[0.038, 1.84297739511, 78244.03966382280],
[0.041, 5.74927951755, 26727.80042788820],
[0.045, 5.73633413733, 44181.27784112419],
[0.035, 0.81793649503, 23439.44831610119],
[0.038, 5.17914668407, 23754.70674870219],
[0.036, 4.81782090538, 51116.42435295920],
[0.041, 2.91943000674, 26241.68195205900],
[0.032, 1.91760062435, 58458.88213313979],
[0.033, 1.27507180487, 131548.89425996438],
[0.032, 5.01820692941, 46848.33017476560],
[0.030, 3.95444605179, 26555.86813192860],
[0.031, 1.17911028239, 59414.48187474840],
[0.030, 0.55604674983, 3442.57494496540],
[0.034, 3.55745328485, 433.71173787680],
[0.033, 5.36229697065, 104881.30353139139],
[0.030, 1.24209931344, 26202.34243025941],
[0.033, 3.55673853222, 25440.89230825939],
[0.029, 2.98847901150, 27154.39861876420],
[0.035, 3.23888704617, 25455.11940226100],
[0.033, 1.77322555881, 124778.18365871879],
[0.028, 4.35951220773, 80482.46652890938],
[0.030, 5.14555074991, 51756.32163927320],
[0.029, 0.03524298861, 79219.30916633119],
[0.027, 2.59555966553, 155468.03691925600],
[0.027, 1.05480537311, 28421.09953444620],
[0.030, 5.72087736840, 51742.09454527159],
[0.029, 5.20529460359, 78267.59076008058],
[0.026, 1.11551342052, 155418.04029735178],
[0.030, 6.10884155937, 26011.63707029860],
[0.027, 3.38666053174, 103396.01282468818],
[0.025, 3.48592449926, 117873.36400788819],
[0.025, 1.69043243445, 25973.46385288896],
[0.026, 6.19577940400, 77197.21394753258],
[0.024, 1.47972864008, 28206.66700195260],
[0.023, 3.86767325148, 16066.06586147480],
[0.027, 4.06858086478, 78270.82297172339],
[0.022, 4.03528313026, 419.48464387520],
[0.023, 3.38426107540, 58946.51688439399],
[0.022, 1.33669336918, 51322.60990139639],
[0.023, 2.23954141042, 103925.01437542078],
[0.024, 3.65673385174, 26610.48055966799],
[0.021, 4.49565014938, 78256.59587772179],
[0.021, 3.69266624882, 77623.81213840858],
[0.028, 5.71652736884, 77211.44104153418],
[0.021, 3.97119771059, 98068.53671630539],
[0.021, 5.61140929496, 120226.23016165999],
[0.025, 1.73460075205, 853.19638175200],
[0.024, 2.89897553229, 105410.99449648599],
[0.020, 6.15988447425, 213.29909543800],
[0.021, 0.42126764910, 149.56319713460],
[0.020, 4.41588880947, 29416.03879785439],
[0.024, 2.43220296378, 50579.61984086379],
[0.020, 0.47739908961, 162188.75089859738],
[0.021, 0.18110422167, 35191.81013569180],
[0.019, 2.38756251160, 26037.90651966999],
[0.020, 0.61997291259, 85034.42002596818],
[0.018, 4.60331561584, 76044.95232053580],
[0.018, 3.06180224259, 50593.84693486539],
[0.022, 0.45787269756, 1596.18644228460],
[0.019, 1.76795970776, 78050.41032928458],
[0.019, 3.58333941723, 27140.17152476259],
[0.021, 0.15585183693, 78477.00852016058],
[0.018, 1.81330190957, 25565.32572348040],
[0.021, 3.45385724015, 102762.53967101299],
[0.022, 4.62891777236, 19406.67828817460],
[0.019, 5.28998871939, 26624.70765366959],
[0.016, 4.37908924360, 25131.61398560359],
[0.019, 2.69598918032, 105307.21230790539],
[0.018, 4.13274028026, 5327.47610838280],
[0.018, 1.10819559505, 76144.94556434419],
[0.018, 2.04678515653, 71492.99882347698],
[0.015, 0.52406345582, 42153.96900304900],
[0.018, 0.71897799959, 78283.37918562238],
[0.020, 3.87105632280, 51749.20809227239],
[0.014, 0.06732488000, 25984.81036735560],
[0.019, 2.51337817026, 129909.82474277639],
[0.018, 3.79705759661, 108903.56606335558],
[0.014, 2.30467577173, 18207.81398823521],
[0.014, 4.91192145857, 151975.46535238638],
[0.014, 4.25365079026, 157636.79740153858],
[0.014, 3.82494343251, 7880.08915333899],
[0.014, 0.47442483304, 26137.89976347840],
[0.015, 1.41820144369, 40565.25432477420],
[0.016, 1.92985195149, 49842.60989027639],
[0.016, 2.97241905198, 71025.03383312259],
[0.013, 0.07086712207, 76.26607127560],
[0.013, 2.19019855275, 90829.86112470538],
[0.014, 1.68395491426, 6681.22485339960],
[0.012, 2.16242752229, 29428.51556827400],
[0.013, 0.55373605944, 79852.78232000639],
[0.012, 2.10236188465, 24609.03656750980],
[0.012, 3.49372354820, 64607.84893354619],
[0.013, 3.16312334997, 25881.71759313700],
[0.012, 0.32301447482, 78690.30761559859],
[0.016, 3.67591976897, 78259.82808936459],
[0.012, 0.81060544329, 81706.28436968799],
[0.015, 2.57802360273, 93028.94846799239],
[0.013, 3.55704873434, 339142.74084046460],
[0.012, 3.14169564714, 114564.89811250778],
[0.011, 4.96251639039, 84546.78527471398],
[0.011, 2.93160493628, 536.80451209540],
[0.011, 0.04474275203, 19804.82729158280],
[0.011, 2.39391294657, 10021.83728009940],
[0.011, 3.22530161123, 90695.75207512038],
[0.012, 0.71785378975, 26294.08869001139],
[0.011, 3.51130712506, 7994.52844202420],
[0.011, 1.78813511249, 69159.80243060499],
[0.010, 1.89377082198, 24925.42843716640],
[0.012, 6.06775243662, 52329.58509363319],
[0.012, 0.11656433296, 51543.02254383520],
[0.012, 0.01462307671, 1581.95934828300],
[0.010, 3.60476399042, 49527.35145767539],
[0.009, 5.35498571113, 2648.45482547300],
[0.010, 2.54352513591, 52815.70356946240],
[0.009, 5.25498849885, 130012.91751699499],
[0.010, 5.63770719377, 181555.94006083018],
[0.011, 1.65385601347, 26507.38778544939],
[0.011, 4.93008131424, 104331.94280539699],
[0.010, 0.35445064092, 26521.61487945100],
[0.010, 2.79303258728, 39743.76363275060],
[0.009, 0.71144667758, 25764.39772491679],
[0.008, 4.22951187793, 181505.94343892598],
[0.008, 0.17514303190, 129483.91596626239],
[0.010, 1.16786157884, 25934.12433108940],
[0.010, 2.50335300453, 103299.34418310839],
[0.009, 3.18692590406, 39629.32434406539],
[0.010, 3.98242351264, 522.57741809380],
[0.011, 0.23158217376, 51639.00177105299],
[0.009, 0.30008658313, 27999.10262479140],
[0.011, 4.84801040284, 150866.08680029298],
[0.011, 5.94731028211, 38813.35657634920],
[0.008, 4.66199260294, 26094.53170047421],
[0.008, 0.71995165086, 52643.77127350280],
[0.008, 3.31825277790, 24395.73747207180],
[0.008, 2.52932369592, 26190.99591579279],
[0.008, 5.11541081184, 25619.93815121980],
[0.008, 1.18625312267, 25867.49049913539],
[0.008, 0.31593558687, 51528.79544983359],
[0.010, 2.12019897039, 130969.20667296558],
[0.008, 0.24131547257, 143961.26714946239],
[0.007, 5.90865595918, 23976.25282819660],
[0.008, 4.88221803127, 22759.76748529401],
[0.007, 3.17202081415, 632.78373931320],
[0.008, 2.40875907837, 146314.13330323418],
[0.007, 6.03640433343, 53242.30176033840],
[0.007, 0.86406939215, 104358.72611329758],
[0.007, 3.45761762182, 26237.46633870879],
[0.009, 3.30628597530, 12725.45343477500],
[0.007, 0.74174993099, 124156.43985787958],
[0.008, 5.62600154280, 131395.11544947958],
[0.007, 2.52679818243, 77829.99768684579],
[0.008, 1.93255904016, 77844.22478084739],
[0.007, 3.69439677930, 85502.38501632259],
[0.007, 5.14299105203, 35472.74414964940],
[0.008, 1.52116219771, 26081.27458267419],
[0.008, 3.50246944455, 25863.55834587229],
[0.008, 5.17598738878, 23962.02573419499],
[0.009, 2.01720755803, 104355.49390165479],
[0.007, 0.57777174711, 86143.79857806159],
[0.007, 2.03534300720, 100909.03762133139],
[0.006, 3.30402834266, 104564.91166173479],
[0.006, 5.26635186541, 50696.93970908399],
[0.006, 3.60993601694, 27684.08958385880],
[0.008, 5.97157930225, 131498.89763806018],
[0.006, 4.43204136420, 54294.57014352679],
[0.006, 4.16183734880, 54509.00267602040],
[0.007, 4.35729742194, 52290.24557183361],
[0.007, 4.88364528875, 26941.09952332620],
[0.007, 3.84735933689, 34282.17847478280],
[0.006, 0.71889591582, 89586.37352302698],
[0.006, 4.77410201490, 104138.31347085879],
[0.006, 5.81016662275, 70269.18098269838],
[0.007, 3.59164938122, 188276.65404017159],
[0.006, 1.42397911026, 102132.85546210999],
[0.006, 5.15043168056, 97580.90196505119],
[0.008, 2.67404385604, 647.01083331480],
[0.005, 4.58227258685, 25977.69682035479],
[0.007, 6.18437842544, 128850.44281258718],
[0.005, 0.05338946228, 13541.42120249119],
[0.006, 5.55589010148, 155997.72788435058],
[0.005, 5.54731935938, 96357.08412427259],
[0.006, 0.36201698821, 26308.31578401300],
[0.005, 3.05584811656, 103285.11708910679],
[0.005, 4.80319811501, 51013.33157874059],
[0.006, 3.04691542636, 13362.44970679920],
[0.005, 5.59905054438, 76667.52298243798],
[0.005, 3.15313951574, 26164.16921284980],
[0.006, 1.15194666645, 27311.72098235281],
[0.005, 6.16463589751, 76681.75007643958],
[0.005, 2.77667883666, 224.34479570190],
[0.005, 4.27775147717, 14477.35118320000],
[0.005, 5.50743820134, 52125.80966124419],
[0.006, 0.68838699976, 26720.68688088739],
[0.005, 4.44878671847, 25227.59321282139],
[0.005, 4.88707969684, 52061.36699446317],
[0.005, 3.66186576821, 25241.82030682300],
[0.005, 1.76383923429, 178063.36849396059],
[0.005, 3.09083817171, 115674.27666460119],
[0.005, 1.73277038612, 956.28915597060],
[0.006, 0.59128664983, 134991.46920492980],
[0.005, 1.39435703220, 104344.49901929598],
[0.005, 5.66016557162, 45290.65639321759],
[0.005, 2.69362119172, 50064.15596977079],
[0.005, 4.11526724305, 209812.60368468694],
[0.006, 3.72633598860, 26162.68474014150],
[0.004, 1.01205356829, 183724.70054311279],
[0.005, 2.02484630372, 52712.61079524379],
[0.005, 4.47460304849, 77410.51304297059],
[0.005, 0.42971081835, 52698.38370124219],
[0.005, 1.56442459236, 11610.55195837420],
[0.004, 0.62582613574, 22747.29071487440],
[0.004, 1.51592730997, 66653.15746634839],
[0.005, 6.10277243405, 97112.93697469679],
[0.004, 1.00562353481, 51219.51712717779],
[0.004, 0.31906550066, 48835.19385644859],
[0.005, 4.98644771495, 51653.22886505459],
[0.005, 4.34429010560, 32132.13172294960],
[0.004, 2.92125579020, 78417.48823520739],
[0.004, 5.99601868842, 121335.60871375339],
[0.005, 3.13172791066, 61279.71327726600],
[0.005, 2.13824746365, 39609.65458316560],
[0.005, 5.68604378667, 119116.85160956658],
[0.004, 2.73202591375, 1692.16566950240],
[0.004, 5.78251523942, 26734.91397488900],
[0.005, 0.77777359038, 103711.71527998279],
[0.005, 0.91021434517, 71582.48457132299],
[0.004, 3.03035393128, 52072.71350892979],
[0.004, 0.45156085724, 31415.37924995700],
[0.004, 3.93028686443, 104371.28232719658],
[0.004, 4.54919541216, 26198.10946279360],
[0.004, 2.66986199617, 24176.70365835700],
[0.004, 3.50110688244, 74821.13447975718],
[0.004, 5.75284691398, 25138.72753260440],
[0.004, 5.44367911308, 72936.23331633979],
[0.004, 1.60493978664, 176953.98994186718],
[0.004, 1.93554854399, 50049.92887576919],
[0.003, 3.90053130991, 107794.18751126219],
[0.003, 5.45429683058, 44295.71712980940],
[0.004, 0.60054840458, 104347.73123093879],
[0.004, 0.88305624488, 60055.89543648739],
[0.004, 6.20681068925, 140652.80125408198],
[0.003, 1.44572212087, 130226.21661243298],
[0.004, 4.37750242770, 32769.12799497380],
[0.004, 1.75525459469, 110634.68841628819],
[0.003, 0.66980197410, 26222.01219115920],
[0.004, 2.20364417845, 182085.63102592478],
[0.003, 5.60615263810, 129387.24732468258],
[0.003, 0.96551693568, 207593.84658050019],
[0.004, 4.51472339809, 52169.17772424839],
[0.004, 0.86790293541, 24822.33566294780],
[0.003, 2.05745330337, 156100.82065856917],
[0.004, 0.27139822027, 214364.55718174577],
[0.003, 3.63958954831, 102232.84870591838],
[0.003, 3.33824382272, 170049.17029103660],
[0.003, 6.15959485239, 12546.48193908300],
[0.003, 0.54712514364, 1911.19948321720],
[0.003, 5.53215106225, 323.50541665740],
[0.003, 5.78740917576, 27780.06881107659],
[0.004, 3.60062257669, 105940.68546158058],
[0.003, 5.23668974633, 17893.62780836560],
[0.003, 3.21536557308, 155571.81910783658],
[0.004, 3.78439308193, 68241.87214462319],
[0.004, 0.35026324282, 53228.07466633679],
[0.003, 1.39462627029, 110.20632121940],
[0.003, 2.98585442540, 102769.65321801379],
[0.003, 5.54914760118, 52101.02468458109],
[0.004, 5.31358771393, 116917.76426627958],
[0.004, 5.02170245911, 130443.39704322898],
[0.003, 3.39708771017, 104778.21075717278],
[0.003, 1.35333080979, 52182.43484204840],
[0.003, 3.53872943291, 28791.51929624980],
[0.003, 0.32151031474, 75615.25459924959],
[0.003, 2.81736551277, 78187.44335344699],
[0.003, 3.41370464721, 77616.69859140778],
[0.003, 2.72102083462, 157586.80077963436],
[0.004, 0.37990458940, 365230.64398203877],
[0.003, 5.29398694468, 183570.92173262799],
[0.003, 0.53039476474, 35077.37084700659],
[0.003, 0.96990585284, 25780.34552060460],
[0.004, 5.03799187214, 103932.12792242158],
[0.003, 0.57063116288, 52250.58788171570],
[0.003, 4.90694398172, 27044.19229754480],
[0.003, 5.64342324025, 78903.60671103658],
[0.003, 3.90829945174, 130446.62925487179],
[0.004, 5.39121442451, 52022.02747266360],
[0.003, 5.38325956945, 172402.03644480839],
[0.003, 3.62725946038, 161079.37234650398],
[0.003, 0.02159890719, 130652.81480330898],
[0.003, 5.26052772975, 55516.41870984820],
[0.003, 1.45533607551, 77101.23472031478],
[0.003, 2.45621582046, 207643.84320240439],
[0.003, 3.04264756378, 74923.09699802278],
[0.003, 3.27797530359, 27669.86248985719],
[0.004, 6.20795181771, 3340.61242669980],
[0.003, 2.86818821459, 79330.20490191258],
[0.003, 5.42245453158, 36109.74042167360],
[0.003, 1.11238018002, 2125.87740737920],
[0.003, 4.70325749301, 52595.29092702359],
[0.003, 4.14290639481, 25446.48957983520],
[0.003, 4.11874155864, 1478.86657406440],
[0.003, 4.41727880469, 128220.75860368418],
[0.003, 5.84301330450, 65831.66677432480],
[0.003, 0.63458746349, 112231.70171963578],
[0.003, 5.20358469660, 157057.10981453978],
[0.003, 4.22446997246, 53399.62412392700],
[0.003, 6.08145059717, 26724.89941359840],
[0.003, 3.32246989691, 111122.32316754239],
[0.003, 1.11208497752, 78378.14871340781],
[0.003, 1.18205388535, 80382.47328510099],
[0.003, 3.98183946807, 25352.02662804239],
[0.003, 5.17537238750, 225687.22128005017],
[0.002, 3.19970010923, 64901.25971792339],
[0.003, 5.90368046078, 104505.39137678158],
[0.003, 2.15712281571, 28736.35796704720],
[0.002, 0.27988699718, 52325.36948028299],
[0.002, 1.09392137734, 24998.19435038059],
[0.003, 1.72654636472, 130419.84594697120],
[0.003, 6.24477199702, 51969.62073471119],
[0.003, 3.27154613105, 77630.92568540938],
[0.002, 1.80684819652, 123668.80510662538],
[0.002, 3.75304905922, 150244.34299945380],
[0.003, 2.04107819596, 76784.84285065818],
[0.003, 4.07589828594, 97670.38771289718],
[0.002, 3.43439078149, 52609.51802102519],
[0.002, 0.51530246334, 133882.09065283637],
[0.003, 4.75031746198, 204151.27163553477],
[0.002, 5.57618391474, 24292.64469785319],
[0.002, 2.22207407093, 78213.71280281838],
[0.002, 6.08590562625, 39450.35284837340],
[0.003, 4.42541702442, 51955.39364070959],
[0.003, 5.48323931966, 220.41264243880],
[0.003, 5.24728665819, 26709.64694241340],
[0.003, 4.52126286883, 20043.67456019880],
[0.002, 1.69429787369, 53029.00266490040],
[0.003, 0.98781948776, 80596.90581759460],
[0.002, 2.72291536990, 23866.04650697719],
[0.002, 2.23117481869, 26402.08932144380],
[0.003, 2.32561622864, 145204.75475114078],
[0.003, 3.55406019317, 52225.80290505260],
[0.003, 0.82939608505, 87253.17713015496],
[0.003, 3.59850686303, 52396.21892558720],
[0.002, 0.25549281668, 22909.75735100660],
[0.002, 4.18932113589, 81591.84508100279],
[0.002, 5.58984236569, 104202.04936916218],
[0.002, 1.59325428260, 206.18554843720],
[0.002, 2.33240745085, 157483.01859105378],
[0.002, 3.78499822852, 78731.67441507700],
[0.003, 1.73139148586, 77741.13200662879],
[0.002, 1.98761216006, 102018.41617342478],
[0.002, 3.82447809654, 1162.47470440780],
[0.002, 3.73613869026, 24601.92302050899],
[0.002, 4.87002033008, 51859.41441349179],
[0.002, 0.10623356446, 111590.28815789679],
[0.002, 4.43911582586, 78270.33798362259],
[0.002, 2.47821765975, 78114.14622758799],
[0.002, 5.83346201740, 181026.24909573558],
[0.002, 2.27341561267, 25953.79409198919],
[0.002, 2.73852323809, 123200.84011627098],
[0.002, 2.35063735347, 78109.93061423779],
[0.002, 0.45168929332, 2111.65031337760],
[0.002, 4.46926491505, 25450.90686955000],
[0.002, 3.97278244291, 52808.59002246159],
[0.002, 0.58667782465, 128320.75184749259],
[0.002, 3.05065649587, 102755.42612401219],
[0.002, 1.13486054740, 52492.19815280499],
[0.002, 4.64642529286, 60370.08161635699],
[0.002, 3.68035435205, 52309.91533273340],
[0.002, 5.93910800197, 78160.61665050399],
[0.002, 1.26706232000, 58857.03113654799],
[0.002, 5.09637370849, 26823.77965510599],
[0.002, 3.88808196008, 16703.06213349900],
[0.002, 0.00715741623, 130866.11389874699],
[0.002, 3.63338095338, 51852.30086649099],
[0.002, 5.67927933196, 103917.90082841998],
[0.002, 1.35964203538, 3328.13565628019],
[0.002, 6.13531665590, 129373.02023068098],
[0.002, 3.74140255139, 52381.99183158559],
[0.002, 0.37783717379, 53771.99272543299],
[0.002, 0.70779949763, 26667.59072857300],
[0.002, 2.05372686428, 70383.62027138360],
[0.002, 6.06999395703, 23919.14265929160],
[0.002, 1.22493486348, 103498.41618454478],
[0.002, 4.00058813480, 129799.61842155698],
[0.002, 1.62085169147, 78149.27013603736],
[0.002, 1.81898501228, 25771.51127191760],
[0.002, 6.22451796390, 52252.07235442399],
[0.002, 0.20849484282, 25754.04720080480],
[0.002, 2.38916713246, 51226.63067417859],
[0.002, 4.34697979051, 26404.29501123080],
[0.002, 2.87638496001, 167850.08294774959],
[0.002, 4.01638193690, 51868.24866217880],
[0.002, 3.38565068956, 77726.90491262719],
[0.002, 5.73512271075, 189853.99758261937],
[0.002, 3.93444553575, 50910.23880452200],
[0.002, 3.62039658007, 6885.14988993081],
[0.002, 1.76492939350, 92741.06060792258],
[0.002, 2.58190149030, 154938.34595416137],
[0.002, 5.37279792857, 52278.89905736699],
[0.002, 3.37039086197, 2221.85663459700],
[0.002, 6.07737780217, 94329.77528619739],
[0.002, 5.16106622649, 26729.31670331319],
[0.002, 1.58212922198, 26013.12154300690],
[0.002, 5.77714525422, 25600.26839032000],
[0.002, 1.88481234244, 27177.61193276780],
[0.002, 5.68695965343, 50264.60679993120],
[0.002, 6.07601531670, 141762.17980617538],
[0.002, 4.33545610317, 8194.27533320860],
[0.002, 1.10189365852, 1223.81784077861],
[0.002, 1.68048369897, 27250.37784598199],
[0.002, 5.32044002117, 151199.94274106238],
[0.002, 1.33411828477, 78257.08086582259],
[0.002, 5.40842531044, 95247.70557217918],
[0.002, 4.55349965747, 37698.45509994840],
[0.002, 2.71889214634, 173511.41499690176],
[0.002, 1.95076646341, 143005.66740785379],
[0.002, 2.00346690661, 26073.67604757259],
[0.002, 1.78781584986, 48847.67062686820],
[0.002, 5.89586766332, 26312.24793727610],
[0.002, 1.99160321093, 26189.86565983980],
[0.002, 0.40598906242, 25773.71696170459],
[0.002, 3.36946627953, 26575.53789282839],
[0.002, 4.77845331095, 136722.59155786238],
[0.002, 1.11920130054, 51315.49635439559],
[0.002, 4.99966961564, 78800.51393681798],
[0.002, 2.50164995664, 19202.75325164339],
[0.002, 5.31192385841, 23384.28698689860],
[0.002, 2.93563622378, 137678.19129947099],
[0.002, 5.00974264854, 182188.72380014337],
[0.002, 2.82066370220, 118828.96374949679],
[0.002, 1.23355180586, 52286.01260436779],
[0.002, 0.27866926000, 24356.78078864160],
[0.002, 2.19163720361, 26395.46076254379],
[0.002, 2.41579406356, 147423.51185532758],
[0.002, 1.80661945912, 860.30992875280],
[0.001, 3.75687703582, 34082.43158359840],
[0.001, 5.85918351804, 163766.09444104519],
[0.001, 4.84627694564, 27170.98337386779],
[0.002, 3.12958128871, 195047.36464141717],
[0.002, 0.59313712363, 74.78159856730],
[0.002, 4.60111717878, 25004.82290928060],
[0.001, 1.14751201091, 55503.94193942859],
[0.002, 4.55507467591, 132658.27281205778],
[0.001, 1.61844283111, 24079.34560241519],
[0.002, 1.99970840056, 17098.43543614181],
[0.002, 4.95650007002, 24448.83362438620],
[0.001, 6.20512620421, 2333.19639287200],
[0.002, 1.27464400058, 144916.86689107097],
[0.002, 6.17677089224, 87367.61641884019],
[0.001, 1.29983905478, 154194.22245657316],
[0.002, 4.47232796046, 130432.40216087017],
[0.001, 4.48574397522, 101703.15774082378],
[0.002, 2.19277171383, 103.09277421860],
[0.001, 1.80796273878, 25508.21555457540],
[0.001, 5.48664013700, 22625.65843570900],
[0.001, 0.74294839995, 78896.49316403578],
[0.001, 3.51165251141, 26421.75908234360],
[0.001, 5.55668995710, 220025.88923089797],
[0.002, 4.08809950869, 25466.15934073500],
[0.002, 2.89128653047, 166740.70439565618],
[0.001, 3.92791860433, 189386.03259226496],
[0.001, 0.33128467520, 76571.54375522019],
[0.002, 1.98187462633, 81604.32185142238],
[0.001, 3.57210475329, 78786.28684281638],
[0.002, 1.13879447241, 61165.27398858079],
[0.001, 5.62721081889, 122444.98726584678],
[0.001, 0.51173156424, 113341.08027172917],
[0.001, 0.63238768568, 130459.18546877075],
[0.001, 0.62172861766, 138319.60486120995],
[0.002, 0.35135879351, 132028.58860315479],
[0.001, 1.68473271541, 28286.99048486120],
[0.002, 2.61859360479, 61560.64729122359],
[0.001, 3.42727473387, 130435.63437251298],
[0.002, 3.42836265136, 65717.22748563958],
[0.001, 2.98248327032, 846.08283475120],
[0.001, 5.35146960556, 1265.56747862640],
[0.001, 4.88379701920, 205260.65018762814],
[0.001, 1.38681194099, 467.96499035440],
[0.001, 5.78967137689, 76152.05911134499],
[0.001, 1.64625172020, 75930.51303185058],
[0.001, 0.08732855602, 103718.82882698359],
[0.001, 0.74831854153, 51534.39272140940],
[0.001, 1.98744571247, 26411.40855823160],
[0.002, 0.58716824437, 52065.59996192899],
[0.001, 5.83388253183, 104275.34649502118],
[0.001, 2.07307900948, 78188.92782615528],
[0.001, 4.54379329814, 203041.89308344139],
[0.001, 3.67961974137, 116783.65521669458],
[0.001, 2.76419827660, 52812.80255517260],
[0.001, 5.76246998806, 1375.77379984580],
[0.001, 3.49542841313, 79315.97780791098],
[0.001, 3.09408892186, 9384.84100807520],
[0.002, 2.99230815235, 91805.13062721379],
[0.001, 2.31818985780, 58220.03486452380],
[0.001, 2.52061585089, 91919.56991589899],
[0.001, 0.20823485438, 54879.42243782400],
[0.001, 4.44457464944, 6044.22858137540],
[0.001, 0.49331056411, 104819.57755665119],
[0.001, 5.98062907857, 106570.36967048359],
[0.001, 3.43578051874, 51841.95034237900],
[0.001, 1.50478057782, 137210.22630911658],
[0.001, 0.85871789181, 25985.94062330859],
[0.001, 0.00464768227, 196137.07343261078],
[0.001, 4.31601888279, 50483.64061364600],
[0.001, 3.82192552665, 25928.60140678200],
[0.001, 2.13422641639, 62197.64356324779],
[0.001, 0.26342054765, 1795.25844372100],
[0.001, 3.33069384141, 19.66976089979],
[0.001, 5.04672208460, 26247.20487636640],
[0.001, 3.69091550110, 77307.42026875199],
[0.001, 0.68629642431, 26102.13023557580],
[0.001, 5.61963025660, 104197.83375581198],
[0.001, 0.41026701894, 636.99627202420],
[0.001, 2.73690252229, 170068.84005193636],
[0.001, 2.97981003623, 78057.52387628538],
[0.001, 2.84174115238, 168959.46149984296],
[0.001, 6.19695864555, 241561.83887541335],
[0.001, 2.31427972623, 179172.74704605396],
[0.001, 0.82072277702, 51329.72344839720],
[0.001, 5.23954201903, 99024.13645791399],
[0.001, 1.86269361791, 45494.58142974879],
[0.001, 3.54450921353, 78338.49102328988],
[0.001, 4.60745432488, 156507.74908854539],
[0.001, 1.62346464256, 128106.31931499895],
[0.001, 0.72186155433, 27005.83342755599],
[0.001, 2.30344666604, 50380.54783942739],
[0.001, 1.18658609813, 8989.46770543239],
[0.001, 6.25857682168, 50800.03248330259],
[0.001, 0.99962008973, 163298.12945069079],
[0.001, 2.86790873835, 38634.38508065720],
[0.001, 3.61827980669, 106262.81204951399],
[0.001, 0.61515728295, 78469.89497315978],
[0.001, 4.60636743786, 126996.94076290558],
[0.001, 4.48187053152, 231348.55332920235],
[0.001, 5.19829793680, 142871.55835826878],
[0.001, 5.68864830775, 3178.14579056760],
[0.001, 4.89753750946, 53265.51507434200],
[0.001, 3.68051221186, 2703.61615467560],
[0.001, 0.01737531330, 103814.80805420138],
[0.001, 1.79348974875, 183145.01295611399],
[0.001, 6.16564988887, 199599.31813847594],
[0.001, 0.63301837081, 51439.92976961659],
[0.001, 2.29427904310, 1485.98012106520],
[0.001, 1.44184009822, 112545.88789950538],
[0.001, 0.55411127132, 42790.96527507320],
[0.001, 5.07507945312, 54824.26110862140],
[0.001, 5.10858625008, 107679.74822257696],
[0.001, 5.50068575093, 27819.02549450680],
[0.001, 5.60579347269, 153084.84390447979],
[0.001, 4.92352598929, 51596.11869614960],
[0.001, 6.10538330268, 181659.72224941078],
],
# R2
[
[3117.867, 3.08231840296, 26087.90314157420],
[1245.396, 6.15183317423, 52175.80628314840],
[424.822, 2.92583352960, 78263.70942472259],
[136.130, 5.97983925842, 104351.61256629678],
[42.175, 2.74936980629, 130439.51570787099],
[21.759, 3.14159265359, 0.00000000000],
[12.793, 5.80143162209, 156527.41884944518],
[3.825, 2.56993599584, 182615.32199101939],
[1.042, 3.14648120079, 24978.52458948080],
[1.131, 5.62142196970, 208703.22513259359],
[0.483, 6.14307654520, 27197.28169366760],
[0.332, 2.38992575670, 234791.12827416777],
[0.320, 6.20674766565, 51066.42773105500],
[0.120, 0.56745598887, 20426.57109242200],
[0.113, 3.28048907943, 24498.83024629040],
[0.105, 4.36663468239, 25028.52121138500],
[0.097, 5.44128884026, 260879.03141574195],
[0.095, 1.70276410782, 1059.38193018920],
[0.103, 2.98038190305, 77154.33087262919],
[0.074, 1.28630381800, 26617.59410666880],
[0.057, 2.96753362980, 1109.37855209340],
[0.066, 5.68201233964, 25132.30339996560],
[0.053, 3.63699398162, 46514.47423399620],
[0.059, 3.10922979724, 27043.50288318280],
[0.053, 0.66673109494, 21535.94964451540],
[0.043, 4.69270605698, 27147.28507176339],
[0.042, 2.77372510028, 1589.07289528380],
[0.036, 4.39741248058, 14765.23904326980],
[0.035, 1.80468389323, 11322.66409830440],
[0.043, 6.07426254990, 28306.66024576099],
[0.033, 5.34572581657, 25448.00585526019],
[0.031, 5.66489075070, 30639.85663863300],
[0.031, 2.36104565226, 32858.61374281979],
[0.031, 4.27403143366, 16983.99614745660],
[0.033, 3.22976052744, 23869.14603738740],
[0.031, 0.50041076120, 22645.32819660879],
[0.028, 2.21390393577, 286966.93455731618],
[0.033, 6.03682885493, 103242.23401420339],
[0.025, 4.23934105457, 52705.49724824299],
[0.023, 2.59711556958, 23969.13928119580],
[0.027, 2.10665521901, 25558.21217647960],
[0.021, 0.40892383580, 72602.37737557039],
[0.025, 5.69513499802, 5661.33204915220],
[0.022, 4.86064608327, 26301.20223701220],
[0.024, 0.66522740624, 19317.19254032860],
[0.020, 5.61847810688, 4551.95349705880],
[0.021, 2.30083904827, 51220.20654153979],
[0.018, 0.48839037250, 26068.23338067440],
[0.016, 6.07779022342, 50586.73338786459],
[0.016, 1.47218845921, 53235.18821333759],
[0.017, 2.94277588966, 53285.18483524180],
[0.015, 2.39097980793, 83925.04147387479],
[0.015, 3.85502950028, 26091.78447693220],
[0.014, 4.13753968603, 12566.15169998280],
[0.015, 5.51545801304, 6770.71060124560],
[0.014, 5.67708505049, 57837.13833230060],
[0.014, 5.73775080815, 27676.97603685800],
[0.016, 5.69298300679, 26107.57290247399],
[0.014, 5.00837046884, 37410.56723987860],
[0.015, 5.72321978212, 29530.47808653960],
[0.012, 1.18827026407, 40853.14218484400],
[0.013, 2.34101240702, 26084.02180621620],
[0.012, 2.43920574243, 56727.75978020720],
[0.012, 1.12086684687, 43071.89928903080],
[0.012, 1.86975778356, 9103.90699411760],
[0.012, 4.90236416950, 36301.18868778519],
[0.010, 2.33297570685, 426.59819087600],
[0.011, 2.80390774003, 129330.13715577759],
[0.010, 5.86382886189, 26202.34243025941],
[0.009, 0.03545904481, 25234.70675982219],
[0.011, 0.92571990717, 639.89728631400],
[0.010, 3.94827815051, 25661.30495069820],
[0.009, 0.00145195768, 49957.04917896160],
[0.008, 5.42702003399, 110012.94461544899],
[0.008, 3.39306818321, 25973.46385288896],
[0.009, 4.83499870418, 38519.94579197200],
[0.008, 5.65148718768, 53131.40602475700],
[0.009, 5.73812314204, 51116.42435295920],
[0.008, 1.98050481337, 13521.75144159140],
[0.009, 0.95963913886, 78793.40038981718],
[0.008, 5.24647237181, 313054.83769889036],
[0.008, 3.52212788936, 52156.13652224860],
[0.007, 3.57060093012, 48733.23133818299],
[0.008, 3.47359025801, 98690.28051714458],
[0.008, 5.32679971128, 51646.11531805379],
[0.010, 5.07319693095, 25874.60404613620],
[0.008, 4.34411026261, 31749.23519072640],
[0.007, 3.44556423722, 26080.78959457339],
[0.007, 5.28088749622, 77308.10968311399],
[0.007, 3.46667099767, 2118.76386037840],
[0.007, 1.96360039314, 10213.28554621100],
[0.007, 1.18631489114, 103292.23063610759],
[0.007, 4.28693259279, 955.59974160860],
[0.007, 0.88520158736, 38654.05484155699],
[0.009, 2.12100150030, 18849.22754997420],
[0.008, 2.75301666365, 26095.01668857500],
[0.007, 4.98530328971, 529.69096509460],
[0.007, 0.20928215626, 33326.57873317420],
[0.006, 4.54286088482, 79323.09135491178],
[0.006, 0.60060875587, 52179.68761850640],
[0.006, 1.21940434381, 41962.52073693740],
[0.006, 1.74585091288, 62389.09182935939],
[0.006, 2.13481309441, 51535.90899683439],
[0.006, 4.92478078408, 26514.50133245020],
[0.007, 4.18249532118, 77204.32749453338],
[0.007, 1.68449319925, 52389.10537858640],
[0.005, 4.28220819106, 68050.42387851159],
[0.007, 1.69076988754, 12432.04265039780],
[0.006, 3.73803069606, 45405.09568190280],
[0.005, 2.61320374120, 79373.08797681599],
[0.005, 2.82458540907, 54394.56338733519],
[0.004, 6.27439443684, 52168.69273614759],
[0.005, 4.50767453332, 13655.86049117640],
[0.006, 2.41451327257, 52195.47604404819],
[0.005, 5.35396003655, 52171.92494779040],
[0.005, 5.48187638039, 82815.66292178139],
[0.004, 2.46695073802, 55618.38122811380],
[0.004, 2.40470389725, 53764.87917843220],
[0.004, 4.24591997877, 66941.04532641819],
[0.004, 3.26730161531, 7238.67559160000],
[0.004, 4.24517841791, 129380.13377768178],
[0.004, 5.46706523938, 50057.04242277000],
[0.004, 2.17208918484, 136100.84775702318],
[0.004, 5.86573287261, 155418.04029735178],
[0.004, 4.15256069197, 32370.97899156560],
[0.004, 2.92358717546, 2218.75710418680],
[0.004, 2.22141015932, 33967.99229491319],
[0.005, 5.74788858603, 52182.91983014920],
[0.004, 0.97295961632, 44181.27784112419],
[0.003, 5.78273085505, 28421.09953444620],
[0.003, 3.65975480266, 99799.65906923798],
[0.004, 3.98623592167, 26727.80042788820],
[0.003, 2.65056124435, 76674.63652943878],
[0.003, 4.91152657563, 47623.85278608960],
[0.004, 1.60135504353, 77734.01845962799],
[0.003, 0.26868606771, 78244.03966382280],
[0.003, 4.58298191655, 1066.49547719000],
[0.003, 4.04696774318, 18093.37469954999],
[0.003, 1.04981780528, 94138.32702008578],
[0.003, 0.82425633309, 73711.75592766379],
[0.003, 5.12180734718, 1052.26838318840],
[0.003, 1.58544193974, 51109.31080595839],
[0.003, 0.22337858409, 124778.18365871879],
[0.003, 3.08207297479, 76044.95232053580],
[0.003, 6.26000429251, 853.19638175200],
[0.003, 3.89747679105, 64741.95798313119],
[0.003, 1.86869273254, 52602.40447402440],
[0.004, 0.01480665337, 7.11354700080],
[0.003, 1.95420622178, 103396.01282468818],
[0.003, 6.00022344367, 29416.03879785439],
[0.003, 1.05827389660, 51123.53789995999],
[0.003, 3.93336187090, 104881.30353139139],
[0.002, 4.80666683935, 88476.99497093359],
[0.002, 2.56919394798, 51962.50718771040],
[0.002, 5.19328838214, 91785.46086631398],
[0.003, 4.94448744333, 44937.13069154840],
[0.002, 0.39272598961, 23754.70674870219],
[0.003, 3.64926786888, 78267.59076008058],
[0.002, 1.93776267237, 117873.36400788819],
[0.002, 0.16310879863, 28206.66700195260],
[0.002, 2.74232958068, 52290.24557183361],
[0.002, 1.94114905421, 7994.52844202420],
[0.002, 0.39437121176, 125887.56221081219],
[0.002, 1.03418813348, 155468.03691925600],
[0.002, 2.06866763231, 339142.74084046460],
[0.002, 1.29912216629, 105410.99449648599],
[0.002, 0.54124189090, 74821.13447975718],
[0.002, 2.12346357366, 65697.55772473979],
[0.002, 2.54143985834, 78270.82297172339],
[0.002, 4.87063627681, 35191.81013569180],
[0.002, 0.51631216786, 71492.99882347698],
[0.002, 0.73976887550, 18207.81398823521],
[0.002, 5.50150244414, 78283.37918562238],
[0.002, 4.78661791721, 78477.00852016058],
[0.002, 4.40683761496, 103821.92160120218],
[0.002, 3.07092516027, 78256.59587772179],
[0.002, 5.01301614244, 3442.57494496540],
[0.002, 2.58799752737, 181505.94343892598],
[0.002, 4.95243490606, 129483.91596626239],
[0.002, 4.12821833516, 77211.44104153418],
[0.002, 4.05475453577, 120226.23016165999],
[0.002, 3.34041291655, 151975.46535238638],
[0.002, 3.27812728356, 51322.60990139639],
[0.002, 4.06092192484, 77837.11123384659],
[0.002, 5.22546741404, 162188.75089859738],
[0.002, 5.57497617017, 71980.63357473118],
[0.002, 1.86655156569, 23439.44831610119],
[0.002, 4.79020891265, 15874.61759536320],
[0.002, 2.43202419279, 45892.73043315699],
[0.001, 4.91443985635, 78690.30761559859],
[0.002, 2.55186486587, 39609.65458316560],
[0.002, 2.04705904795, 433.71173787680],
[0.001, 6.06582167254, 102132.85546210999],
[0.002, 0.36512406083, 6283.07584999140],
[0.002, 5.96418661485, 78050.41032928458],
[0.001, 0.66730245858, 58458.88213313979],
[0.001, 2.46652537811, 98068.53671630539],
[0.002, 3.24884087108, 150866.08680029298],
[0.002, 0.33626385981, 52061.36699446317],
[0.001, 1.58214319162, 114564.89811250778],
[0.001, 1.86505965946, 27140.17152476259],
[0.001, 4.70954784660, 77197.21394753258],
[0.001, 3.30080224324, 104331.94280539699],
[0.002, 2.15014442693, 78259.82808936459],
[0.001, 4.16909637294, 51742.09454527159],
[0.002, 0.61993180902, 130969.20667296558],
[0.001, 5.64166202504, 81706.28436968799],
[0.001, 1.28449131177, 27154.39861876420],
[0.001, 0.20716724934, 131548.89425996438],
[0.001, 5.01586042695, 105460.99111839019],
[0.001, 2.20142137730, 104371.28232719658],
[0.001, 0.71547903080, 103925.01437542078],
[0.001, 1.69298852699, 71025.03383312259],
[0.002, 1.01857337375, 93028.94846799239],
[0.002, 0.99564225222, 129909.82474277639],
[0.001, 3.04953117213, 26941.09952332620],
[0.001, 1.54774252742, 104564.91166173479],
[0.001, 1.29736654025, 26241.68195205900],
[0.002, 0.39879309478, 104355.49390165479],
[0.001, 1.73442408485, 64607.84893354619],
[0.001, 3.52887677711, 97580.90196505119],
[0.001, 3.55488474055, 84546.78527471398],
[0.001, 2.68991734615, 59414.48187474840],
[0.001, 2.23301107736, 107794.18751126219],
[0.001, 6.04185199127, 104344.49901929598],
[0.001, 2.33178230942, 108903.56606335558],
[0.001, 5.23291332097, 134991.46920492980],
[0.001, 5.42420842294, 79852.78232000639],
[0.001, 5.56485897392, 104358.72611329758],
[0.001, 2.03042058117, 76144.94556434419],
[0.001, 4.42403586918, 25021.40766438420],
[0.001, 4.07362401058, 181555.94006083018],
[0.001, 4.39544806298, 131498.89763806018],
[0.001, 3.37653548744, 22759.76748529401],
[0.001, 3.34598726101, 24864.08530079559],
[0.001, 0.81949463309, 52815.70356946240],
[0.001, 4.13026377404, 2648.45482547300],
[0.001, 1.40701146170, 103285.11708910679],
[0.001, 2.72338212355, 419.48464387520],
[0.001, 2.86239729930, 63498.47038145279],
[0.001, 4.60118276053, 19804.82729158280],
[0.001, 3.76488909896, 51749.20809227239],
[0.001, 5.71167880995, 78378.14871340781],
[0.001, 3.11068504003, 54294.57014352679],
[0.001, 5.17191010522, 1596.18644228460],
[0.001, 0.84666659977, 26037.90651966999],
[0.001, 1.27214241387, 39743.76363275060],
[0.001, 3.62572271343, 51756.32163927320],
[0.001, 0.99401491673, 50579.61984086379],
[0.001, 2.65940437112, 79219.30916633119],
[0.001, 2.78122688424, 157636.79740153858],
[0.001, 5.02865728622, 365230.64398203877],
[0.001, 4.26629771518, 26724.89941359840],
[0.001, 0.69459147389, 90829.86112470538],
[0.001, 3.74834736873, 44295.71712980940],
[0.001, 2.67181600104, 5327.47610838280],
[0.001, 5.10769130141, 58946.51688439399],
[0.001, 0.55503171074, 69159.80243060499],
[0.001, 4.68391610322, 90695.75207512038],
[0.001, 5.17372763616, 149.56319713460],
[0.001, 5.26044215633, 25934.12433108940],
[0.001, 5.13679156205, 104347.73123093879],
[0.001, 0.91197645609, 103299.34418310839],
[0.001, 5.89466975855, 27311.72098235281],
[0.001, 0.91206378451, 77829.99768684579],
[0.001, 0.82686052448, 146314.13330323418],
[0.001, 5.01041490382, 25450.90686955000],
[0.001, 0.74891931364, 10021.83728009940],
[0.001, 3.75910629606, 25619.93815121980],
[0.001, 1.57855828108, 61279.71327726600],
[0.001, 5.22196769252, 77623.81213840858],
[0.001, 5.44280337360, 52643.77127350280],
[0.001, 3.38760463430, 49842.60989027639],
[0.001, 4.04176416141, 25565.32572348040],
[0.001, 1.99169557218, 105940.68546158058],
[0.001, 2.40126368211, 26555.86813192860],
[0.001, 3.28153684541, 78149.27013603736],
[0.001, 1.50606534242, 50593.84693486539],
[0.001, 4.99390846744, 143961.26714946239],
[0.001, 4.36279289081, 70269.18098269838],
[0.001, 0.56330446870, 29428.51556827400],
[0.001, 1.96827343473, 188276.65404017159],
[0.001, 6.14024093350, 3328.13565628019],
[0.001, 4.38278455115, 52329.58509363319],
[0.001, 5.32677211586, 26137.89976347840],
[0.001, 5.49001686286, 7880.08915333899],
[0.001, 2.08096369099, 26610.48055966799],
[0.001, 2.81808749734, 54509.00267602040],
[0.001, 3.85620334673, 26624.70765366959],
[0.001, 1.15157832957, 536.80451209540],
[0.001, 3.62974919098, 130012.91751699499],
[0.001, 0.35977888560, 105307.21230790539],
[0.001, 2.75970257539, 55503.94193942859],
[0.001, 3.95087871071, 119116.85160956658],
[0.001, 2.02746284465, 85034.42002596818],
[0.001, 0.01631363612, 25668.41849769900],
[0.001, 4.69497491223, 1581.95934828300],
[0.001, 4.43589881789, 53242.30176033840],
[0.001, 0.02851648548, 213.29909543800],
[0.001, 2.42155941603, 25551.09862947879],
[0.001, 4.51335885923, 12546.48193908300],
[0.001, 3.07012190290, 104138.31347085879],
[0.001, 4.25105785914, 65831.66677432480],
[0.001, 0.26591217377, 89586.37352302698],
[0.001, 3.25491459524, 46848.33017476560],
[0.001, 5.00501348827, 51639.00177105299],
[0.000, 5.50334834007, 124156.43985787958],
[0.000, 4.83101429854, 76.26607127560],
[0.000, 4.34030366776, 80482.46652890938],
[0.001, 3.55161443787, 116917.76426627958],
[0.000, 4.96302997387, 26521.61487945100],
[0.001, 0.12176395772, 6681.22485339960],
[0.001, 0.06932929209, 48847.67062686820],
[0.001, 0.08695556653, 26507.38778544939],
[0.000, 1.50601747714, 632.78373931320],
[0.000, 3.68453733674, 25035.63475838580],
[0.000, 2.10077795936, 86143.79857806159],
[0.000, 2.61352703953, 53399.62412392700],
[0.000, 0.84481589887, 25881.71759313700],
[0.000, 3.95854005744, 95247.70557217918],
[0.001, 4.47600641528, 97112.93697469679],
[0.001, 0.40812953108, 77844.22478084739],
[0.000, 4.89912517892, 25984.81036735560],
[0.000, 5.16843610094, 52698.38370124219],
[0.000, 3.99449121788, 131395.11544947958],
[0.000, 5.65446547429, 80596.90581759460],
],
# R3
[
[32.676, 1.67971635359, 26087.90314157420],
[24.166, 4.63403168997, 52175.80628314840],
[12.133, 1.38983781545, 78263.70942472259],
[5.140, 4.43915386930, 104351.61256629678],
[1.981, 1.20733880274, 130439.51570787099],
[1.460, 3.14159265359, 0.00000000000],
[0.719, 4.25913631362, 156527.41884944518],
[0.250, 1.02794425848, 182615.32199101939],
[0.084, 4.08008618813, 208703.22513259359],
[0.028, 0.85051616237, 234791.12827416777],
[0.023, 1.60029451014, 24978.52458948080],
[0.011, 4.58074493182, 27197.28169366760],
[0.012, 4.65878660390, 51066.42773105500],
[0.009, 3.90622332667, 260879.03141574195],
[0.005, 1.43247327249, 77154.33087262919],
[0.004, 1.37106678794, 53285.18483524180],
[0.003, 0.67217979275, 286966.93455731618],
[0.002, 5.31135121818, 20426.57109242200],
[0.002, 1.54812921017, 1109.37855209340],
[0.002, 4.48222146022, 103242.23401420339],
[0.002, 0.20057520755, 1059.38193018920],
[0.002, 4.21865197056, 25132.30339996560],
[0.001, 2.11997334018, 46514.47423399620],
[0.001, 3.24267833975, 27147.28507176339],
[0.001, 1.33238537892, 1589.07289528380],
[0.001, 5.14405498793, 72602.37737557039],
[0.001, 6.14595652541, 26617.59410666880],
[0.001, 3.90494988936, 4551.95349705880],
[0.001, 2.85134614467, 14765.23904326980],
[0.001, 3.74339959279, 313054.83769889036],
[0.001, 2.82234410581, 52705.49724824299],
[0.001, 1.70132625273, 23869.14603738740],
[0.001, 1.44102444460, 27043.50288318280],
[0.001, 1.25358423340, 129330.13715577759],
[0.001, 0.32054002273, 9103.90699411760],
[0.001, 0.90273607509, 51220.20654153979],
[0.001, 4.28935605425, 27676.97603685800],
[0.001, 4.41206223998, 79373.08797681599],
[0.001, 3.23518929162, 26301.20223701220],
[0.001, 2.25667255668, 21535.94964451540],
[0.001, 4.70414203873, 50586.73338786459],
[0.001, 1.88608259832, 98690.28051714458],
[0.001, 5.90420893056, 40853.14218484400],
[0.001, 4.46892853356, 53131.40602475700],
[0.001, 3.83684899837, 77308.10968311399],
[0.001, 1.31974603498, 54394.56338733519],
[0.001, 0.74728939443, 32858.61374281979],
[0.001, 6.27673970277, 53235.18821333759],
[0.001, 4.14814578610, 29530.47808653960],
[0.001, 0.87302135775, 83925.04147387479],
[0.001, 5.20339566427, 26068.23338067440],
[0.001, 2.88631079597, 79323.09135491178],
[0.001, 5.39853672849, 19317.19254032860],
[0.001, 5.73721596586, 78793.40038981718],
[0.000, 1.85241611022, 25973.46385288896],
[0.000, 4.31134434847, 26202.34243025941],
[0.000, 4.74305205780, 49957.04917896160],
[0.001, 3.87802524387, 82815.66292178139],
[0.000, 4.28937691652, 155418.04029735178],
[0.001, 3.35625397389, 37410.56723987860],
[0.000, 2.00313301846, 22645.32819660879],
[0.000, 2.49236829957, 25028.52121138500],
[0.000, 0.01947787727, 25558.21217647960],
[0.001, 4.13825019881, 3442.57494496540],
[0.000, 2.81832388305, 25874.60404613620],
[0.000, 2.53416253042, 12566.15169998280],
[0.001, 4.46169102731, 28306.66024576099],
[0.001, 2.16986592809, 45405.09568190280],
[0.000, 2.27621739263, 26091.78447693220],
[0.000, 1.95034764539, 52156.13652224860],
[0.000, 4.03054078678, 30639.85663863300],
[0.000, 5.76722418743, 43071.89928903080],
[0.000, 4.12739704581, 26107.57290247399],
[0.000, 1.37713138665, 31749.23519072640],
[0.001, 3.54716896556, 51646.11531805379],
[0.000, 3.39161595850, 36301.18868778519],
[0.000, 4.34410863436, 57837.13833230060],
[0.000, 5.62082960690, 639.89728631400],
[0.000, 3.16268062826, 529.69096509460],
[0.000, 0.77186843357, 26084.02180621620],
[0.000, 3.78612072314, 110012.94461544899],
[0.000, 5.50453358586, 51116.42435295920],
[0.000, 0.04709131420, 52389.10537858640],
[0.000, 3.93991894858, 6770.71060124560],
[0.000, 1.41961180167, 76674.63652943878],
[0.000, 2.61258742182, 66941.04532641819],
[0.000, 0.70544164813, 426.59819087600],
[0.000, 0.91883551986, 55618.38122811380],
[0.000, 5.30612883135, 52179.68761850640],
[0.000, 2.00604152518, 2118.76386037840],
[0.000, 1.08640210817, 56727.75978020720],
[0.000, 3.92743267498, 58946.51688439399],
[0.000, 5.52202827702, 38654.05484155699],
[0.000, 1.57363600114, 24498.83024629040],
[0.000, 3.49522546958, 5661.33204915220],
[0.000, 0.63375195581, 51535.90899683439],
[0.000, 1.34305878069, 105460.99111839019],
[0.000, 0.44820055565, 339142.74084046460],
[0.000, 1.39951362362, 2218.75710418680],
[0.000, 0.63311095079, 18849.22754997420],
[0.000, 0.82120127326, 52195.47604404819],
[0.000, 2.78211363987, 47623.85278608960],
[0.000, 0.94752126944, 53764.87917843220],
[0.000, 3.75988526858, 52171.92494779040],
[0.000, 0.44351435910, 136100.84775702318],
[0.000, 1.44824925227, 76044.95232053580],
[0.000, 4.83985082201, 78244.03966382280],
[0.000, 0.04522486479, 62389.09182935939],
[0.000, 6.28144869714, 213.29909543800],
[0.000, 5.17875557687, 955.59974160860],
[0.000, 4.62674052433, 52168.69273614759],
[0.000, 2.19907823066, 77204.32749453338],
[0.000, 3.40216597806, 26514.50133245020],
[0.000, 2.89630853457, 13655.86049117640],
[0.000, 3.92639394174, 50057.04242277000],
[0.000, 0.27991454535, 11322.66409830440],
[0.000, 5.63968341805, 103292.23063610759],
[0.000, 1.86829495425, 48733.23133818299],
[0.000, 5.77443179008, 105410.99449648599],
],
# R4
[
[0.394, 0.36735403840, 26087.90314157420],
[0.387, 3.18568771507, 52175.80628314840],
[0.270, 6.16983616444, 78263.70942472259],
[0.149, 2.91591904641, 104351.61256629678],
[0.071, 5.95867889641, 130439.51570787099],
[0.031, 2.72386700044, 156527.41884944518],
[0.017, 0.00000000000, 0.00000000000],
[0.012, 5.77775334056, 182615.32199101939],
[0.005, 2.54506442647, 208703.22513259359],
[0.002, 5.59978443851, 234791.12827416777],
[0.001, 2.33785160871, 260879.03141574195],
[0.000, 5.37943916893, 286966.93455731618],
[0.000, 3.09643524101, 51066.42773105500],
[0.000, 0.09342858750, 24978.52458948080],
[0.000, 6.02837115675, 53285.18483524180],
[0.000, 6.13600004668, 77154.33087262919],
[0.000, 2.93310416266, 27197.28169366760],
[0.000, 2.89897922039, 103242.23401420339],
],
# R5
[
[0.006, 3.98900269603, 26087.90314157420],
[0.006, 1.55248278782, 52175.80628314840],
[0.005, 4.65461721116, 78263.70942472259],
[0.004, 1.40238366492, 104351.61256629678],
[0.002, 4.44231488663, 130439.51570787099],
[0.001, 3.14159265359, 0.00000000000],
[0.001, 1.21278177664, 156527.41884944518],
[0.001, 4.26149026340, 182615.32199101939],
[0.000, 0.99831133595, 208703.22513259359],
[0.000, 4.00267064210, 234791.12827416777],
],
]
"""This table contains Mercury's periodic terms (all of them) from the
planetary theory VSOP87 for the radius vector at the equinox of date (taken
from the 'D' solution). In Meeus' book a shortened version can be found in page
416."""
ORBITAL_ELEM = [
[252.250906, 149474.0722491, 0.0003035, 0.000000018], # L
[0.38709831, 0.0, 0.0, 0.0], # a
[0.20563175, 0.000020407, -0.0000000283, -0.00000000018], # e
[7.004986, 0.0018215, -0.0000181, 0.000000056], # i
[48.330893, 1.1861883, 0.00017542, 0.000000215], # Omega
[77.456119, 1.5564776, 0.00029544, 0.000000009] # pie
]
"""This table contains the parameters to compute Mercury's orbital elements for
the mean equinox of date. Based in Table 31.A, page 212"""
ORBITAL_ELEM_J2000 = [
[252.250906, 149472.6746358, -0.00000536, 0.000000002], # L
[7.004986, -0.0059516, 0.0000008, 0.000000043], # i
[48.330893, -0.1254227, -0.00008833, -0.0000002], # Omega
[77.456119, 0.1588643, -0.00001342, -0.000000007] # pie
]
"""This table contains the parameters to compute Mercury's orbital elements for
the standard equinox J2000.0. Based on Table 31.B, page 214"""
[docs]class Mercury(object):
"""
Class Mercury models that planet.
"""
[docs] @staticmethod
def geometric_heliocentric_position(epoch, tofk5=True):
"""This method computes the geometric heliocentric position of planet
Mercury for a given epoch, using the VSOP87 theory.
:param epoch: Epoch to compute Mercury position, as an Epoch object
:type epoch: :py:class:`Epoch`
:param tofk5: Whether or not the small correction to convert to the FK5
system will be applied or not
:type tofk5: bool
:returns: A tuple with the heliocentric longitude and latitude (as
:py:class:`Angle` objects), and the radius vector (as a float,
in astronomical units), in that order
:rtype: tuple
:raises: TypeError if input values are of wrong type.
>>> epoch = Epoch(2018, 10, 27.0)
>>> l, b, r = Mercury.geometric_heliocentric_position(epoch)
>>> print(round(l.to_positive(), 4))
287.4887
>>> print(round(b, 4))
-6.0086
>>> print(round(r, 5))
0.45113
"""
return geometric_vsop_pos(epoch, VSOP87_L, VSOP87_B, VSOP87_R, tofk5)
[docs] @staticmethod
def apparent_heliocentric_position(epoch):
"""This method computes the apparent heliocentric position of planet
Mercury for a given epoch, using the VSOP87 theory.
:param epoch: Epoch to compute Mercury position, as an Epoch object
:type epoch: :py:class:`Epoch`
:returns: A tuple with the heliocentric longitude and latitude (as
:py:class:`Angle` objects), and the radius vector (as a float,
in astronomical units), in that order
:rtype: tuple
:raises: TypeError if input values are of wrong type.
"""
return apparent_vsop_pos(epoch, VSOP87_L, VSOP87_B, VSOP87_R)
[docs] @staticmethod
def orbital_elements_mean_equinox(epoch):
"""This method computes the orbital elements of Mercury for the mean
equinox of the date for a given epoch.
:param epoch: Epoch to compute orbital elements, as an Epoch object
:type epoch: :py:class:`Epoch`
:returns: A tuple containing the following six orbital elements:
- Mean longitude of the planet (Angle)
- Semimajor axis of the orbit (float, astronomical units)
- eccentricity of the orbit (float)
- inclination on the plane of the ecliptic (Angle)
- longitude of the ascending node (Angle)
- argument of the perihelion (Angle)
:rtype: tuple
:raises: TypeError if input values are of wrong type.
>>> epoch = Epoch(2065, 6, 24.0)
>>> l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
>>> print(round(l, 6))
203.494701
>>> print(round(a, 8))
0.38709831
>>> print(round(e, 7))
0.2056451
>>> print(round(i, 6))
7.006171
>>> print(round(ome, 5))
49.10765
>>> print(round(arg, 6))
29.367732
"""
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM)
[docs] @staticmethod
def orbital_elements_j2000(epoch):
"""This method computes the orbital elements of Mercury for the
standard equinox J2000.0 for a given epoch.
:param epoch: Epoch to compute orbital elements, as an Epoch object
:type epoch: :py:class:`Epoch`
:returns: A tuple containing the following six orbital elements:
- Mean longitude of the planet (Angle)
- Semimajor axis of the orbit (float, astronomical units)
- eccentricity of the orbit (float)
- inclination on the plane of the ecliptic (Angle)
- longitude of the ascending node (Angle)
- argument of the perihelion (Angle)
:rtype: tuple
:raises: TypeError if input values are of wrong type.
>>> epoch = Epoch(2065, 6, 24.0)
>>> l, a, e, i, ome, arg = Mercury.orbital_elements_j2000(epoch)
>>> print(round(l, 6))
202.579453
>>> print(round(a, 8))
0.38709831
>>> print(round(e, 7))
0.2056451
>>> print(round(i, 6))
7.001089
>>> print(round(ome, 5))
48.24873
>>> print(round(arg, 6))
29.311401
"""
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM_J2000)
[docs] @staticmethod
def geocentric_position(epoch):
"""This method computes the geocentric position of Mercury (right
ascension and declination) for the given epoch, as well as the
elongation angle.
:param epoch: Epoch to compute geocentric position, as an Epoch object
:type epoch: :py:class:`Epoch`
:returns: A tuple containing the right ascension, the declination and
the elongation angle as Angle objects
:rtype: tuple
:raises: TypeError if input value is of wrong type.
>>> epoch = Epoch(1992, 12, 20.0)
>>> ra, dec, elon = Mercury.geocentric_position(epoch)
>>> print(ra.ra_str(n_dec=1))
16h 33' 59.3''
>>> print(dec.dms_str(n_dec=1))
-20d 53' 31.6''
>>> print(elon.dms_str(n_dec=1))
18d 24' 29.8''
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Compute the heliocentric position of Mercury
l, b, r = Mercury.geometric_heliocentric_position(epoch, tofk5=False)
# Compute the heliocentric position of the Earth
l0, b0, r0 = Earth.geometric_heliocentric_position(epoch, tofk5=False)
# Convert to radians
lr = l.rad()
br = b.rad()
l0r = l0.rad()
b0r = b0.rad()
# Compute first iteration
x = r * cos(br) * cos(lr) - r0 * cos(b0r) * cos(l0r)
y = r * cos(br) * sin(lr) - r0 * cos(b0r) * sin(l0r)
z = r * sin(br) - r0 * sin(b0r)
delta = sqrt(x * x + y * y + z * z)
tau = 0.0057755183 * delta
# Adjust the epoch for light-time
epoch -= tau
# Compute again Mercury coordinates with this correction
l, b, r = Mercury.geometric_heliocentric_position(epoch, tofk5=False)
# Compute second iteration
lr = l.rad()
br = b.rad()
x = r * cos(br) * cos(lr) - r0 * cos(b0r) * cos(l0r)
y = r * cos(br) * sin(lr) - r0 * cos(b0r) * sin(l0r)
z = r * sin(br) - r0 * sin(b0r)
# Compute longitude and latitude
lamb = atan2(y, x)
beta = atan2(z, sqrt(x * x + y * y))
# Now, let's compute the aberration effect
t = (epoch - JDE2000) / 36525
e = 0.016708634 + t * (-0.000042037 - t * 0.0000001267)
pie = 102.93735 + t * (1.71946 + t * 0.00046)
pie = radians(pie)
lon = l0 + 180.0
lon = lon.rad()
k = 20.49552 # The constant of aberration
deltal1 = k * (-cos(lon - lamb) + e * cos(pie - lamb)) / cos(beta)
deltab1 = -k * sin(beta) * (sin(lon - lamb) - e * sin(pie - lamb))
deltal1 = Angle(0, 0, deltal1)
deltab1 = Angle(0, 0, deltab1)
# Correction to FK5 system
lamb = Angle(lamb, radians=True)
lamb = lamb.to_positive()
beta = Angle(beta, radians=True)
l_prime = lamb - t * (1.397 + t * 0.00031)
deltal2 = Angle(0, 0, -0.09033)
a = 0.03916 * (cos(l_prime.rad()) + sin(l_prime.rad()))
a = a * tan(b.rad())
deltal2 += Angle(0, 0, a)
deltab2 = 0.03916 * (cos(l_prime.rad()) - sin(l_prime.rad()))
deltab2 = Angle(0, 0, deltab2)
# Apply the corrections
lamb = lamb + deltal1 + deltal2
beta = beta + deltab1 + deltab2
# Correction for nutation
dpsi = nutation_longitude(epoch)
lamb += dpsi
e = true_obliquity(epoch)
ra, dec = ecliptical2equatorial(lamb, beta, e)
# Let's compute the elongation angle
lons, lats, rs = Sun.apparent_geocentric_position(epoch)
lambr = lamb.rad()
lsr = lons.rad()
betar = beta.rad()
elon = acos(cos(betar) * cos(lambr - lsr))
elon = Angle(elon, radians=True)
return ra, dec, elon
[docs] @staticmethod
def inferior_conjunction(epoch):
"""This method computes the time of the inferior conjunction closest to
the given epoch.
:param epoch: Epoch close to the desired inferior conjunction
:type epoch: :py:class:`Epoch`
:returns: The time when the inferior conjunction happens, as an Epoch
:rtype: :py:class:`Epoch`
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 10, 1.0)
>>> conjunction = Mercury.inferior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
6.1449
>>> epoch = Epoch(1631, 10, 1.0)
>>> conjunction = Mercury.inferior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1631
>>> print(m)
11
>>> print(round(d, 3))
7.306
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's inferior conjunction
a = 2451612.023
b = 115.8774771
m0 = 63.5867
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (0.0545 + 0.0002 * t
+ sin(m) * (-6.2008 + t * (0.0074 + t * 0.00003))
+ cos(m) * (-3.275 + t * (-0.0197 + t * 0.00001))
+ sin(2.0 * m) * (0.4737 + t * (-0.0052 - t * 0.00001))
+ cos(2.0 * m) * (0.8111 + t * (0.0033 - t * 0.00002))
+ sin(3.0 * m) * (0.0037 + t * 0.0018)
+ cos(3.0 * m) * (-0.1768 + t * t * 0.00001)
+ sin(4.0 * m) * (-0.0211 - t * 0.0004)
+ cos(4.0 * m) * (0.0326 - t * 0.0003)
+ sin(5.0 * m) * (0.0083 + t * 0.0001)
+ cos(5.0 * m) * (-0.004 + t * 0.0001))
to_return = jde0 + corr
return Epoch(to_return)
[docs] @staticmethod
def superior_conjunction(epoch):
"""This method computes the time of the superior conjunction closest to
the given epoch.
:param epoch: Epoch close to the desired superior conjunction
:type epoch: :py:class:`Epoch`
:returns: The time when the superior conjunction happens, as an Epoch
:rtype: :py:class:`Epoch`
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 10, 1.0)
>>> conjunction = Mercury.superior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1993
>>> print(m)
8
>>> print(round(d, 4))
29.3301
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's superior conjunction
a = 2451554.084
b = 115.8774771
m0 = 6.4822
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (-0.0548 - 0.0002 * t
+ sin(m) * (7.3894 + t * (-0.01 - t * 0.00003))
+ cos(m) * (3.22 + t * (0.0197 - t * 0.00001))
+ sin(2.0 * m) * (0.8383 + t * (-0.0064 - t * 0.00001))
+ cos(2.0 * m) * (0.9666 + t * (0.0039 - t * 0.00003))
+ sin(3.0 * m) * (0.077 - t * 0.0026)
+ cos(3.0 * m) * (0.2758 + t * (0.0002 - t * 0.00002))
+ sin(4.0 * m) * (-0.0128 - t * 0.0008)
+ cos(4.0 * m) * (0.0734 + t * (-0.0004 - t * 0.00001))
+ sin(5.0 * m) * (-0.0122 - t * 0.0002)
+ cos(5.0 * m) * (0.0173 - t * 0.0002))
to_return = jde0 + corr
return Epoch(to_return)
[docs] @staticmethod
def western_elongation(epoch):
"""This method computes the time of the western elongation closest to
the given epoch, as well as the corresponding maximum elongation angle.
:param epoch: Epoch close to the desired western elongation
:type epoch: :py:class:`Epoch`
:returns: A tuple with the time when the western elongation happens, as
an Epoch, and the maximum elongation angle, as an Angle
:rtype: tuple
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 11, 1.0)
>>> time, elongation = Mercury.western_elongation(epoch)
>>> y, m, d = time.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
22.6386
>>> print(round(elongation, 4))
19.7506
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's inferior conjunction
a = 2451612.023
b = 115.8774771
m0 = 63.5867
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (21.6249 - 0.0002 * t
+ sin(m) * (0.1306 + t * 0.0065)
+ cos(m) * (-2.7661 + t * (-0.0011 + t * 0.00001))
+ sin(2.0 * m) * (0.2438 + t * (-0.0024 - t * 0.00001))
+ cos(2.0 * m) * (0.5767 + t * 0.0023)
+ sin(3.0 * m) * (0.1041)
+ cos(3.0 * m) * (-0.0184 + t * 0.0007)
+ sin(4.0 * m) * (-0.0051 - t * 0.0001)
+ cos(4.0 * m) * (0.0048 + t * 0.0001)
+ sin(5.0 * m) * (0.0026)
+ cos(5.0 * m) * (0.0037))
elon = (22.4143 - 0.0001 * t
+ sin(m) * (4.3651 + t * (-0.0048 - t * 0.00002))
+ cos(m) * (2.3787 + t * (0.0121 - t * 0.00001))
+ sin(2.0 * m) * (0.2674 + t * 0.0022)
+ cos(2.0 * m) * (-0.3873 + t * (0.0008 + t * 0.00001))
+ sin(3.0 * m) * (-0.0369 - t * 0.0001)
+ cos(3.0 * m) * (0.0017 - t * 0.0001)
+ sin(4.0 * m) * (0.0059)
+ cos(4.0 * m) * (0.0061 + t * 0.0001)
+ sin(5.0 * m) * (0.0007)
+ cos(5.0 * m) * (-0.0011))
elon = Angle(elon).to_positive()
to_return = jde0 + corr
return Epoch(to_return), elon
[docs] @staticmethod
def eastern_elongation(epoch):
"""This method computes the time of the eastern elongation closest to
the given epoch, as well as the corresponding maximum elongation angle.
:param epoch: Epoch close to the desired eastern elongation
:type epoch: :py:class:`Epoch`
:returns: A tuple with the time when the eastern elongation happens, as
an Epoch, and the maximum elongation angle, as an Angle
:rtype: tuple
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1990, 8, 1.0)
>>> time, elongation = Mercury.eastern_elongation(epoch)
>>> y, m, d = time.get_date()
>>> print(y)
1990
>>> print(m)
8
>>> print(round(d, 4))
11.8514
>>> print(round(elongation, 4))
27.4201
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's inferior conjunction
a = 2451612.023
b = 115.8774771
m0 = 63.5867
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (-21.6101 + 0.0002 * t
+ sin(m) * (-1.9803 + t * (-0.006 + t * 0.00001))
+ cos(m) * (1.4151 + t * (-0.0072 - t * 0.00001))
+ sin(2.0 * m) * (0.5528 + t * (-0.0005 - t * 0.00001))
+ cos(2.0 * m) * (0.2905 + t * (0.0034 + t * 0.00001))
+ sin(3.0 * m) * (-0.1121 + t * (-0.0001 + t * 0.00001))
+ cos(3.0 * m) * (-0.0098 - t * 0.0015)
+ sin(4.0 * m) * (0.0192)
+ cos(4.0 * m) * (0.0111 + t * 0.0004)
+ sin(5.0 * m) * (-0.0061)
+ cos(5.0 * m) * (-0.0032 - t * 0.0001))
elon = (22.4697
+ sin(m) * (-4.2666 + t * (0.0054 + t * 0.00002))
+ cos(m) * (-1.8537 - t * 0.0137)
+ sin(2.0 * m) * (0.3598 + t * (0.0008 - t * 0.00001))
+ cos(2.0 * m) * (-0.068 + t * 0.0026)
+ sin(3.0 * m) * (-0.0524 - t * 0.0003)
+ cos(3.0 * m) * (0.0052 - t * 0.0006)
+ sin(4.0 * m) * (0.0107 + t * 0.0001)
+ cos(4.0 * m) * (-0.0013 + t * 0.0001)
+ sin(5.0 * m) * (-0.0021)
+ cos(5.0 * m) * (0.0003))
elon = Angle(elon).to_positive()
to_return = jde0 + corr
return Epoch(to_return), elon
[docs] @staticmethod
def station_longitude_1(epoch):
"""This method computes the time of the 1st station in longitude
(i.e. when the planet is stationary and begins to move westward -
retrograde - among the starts) closest to the given epoch.
:param epoch: Epoch close to the desired inferior conjunction
:type epoch: :py:class:`Epoch`
:returns: Time when the 1st statin in longitude happens, as an Epoch
:rtype: :py:class:`Epoch`
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 10, 1.0)
>>> sta1 = Mercury.station_longitude_1(epoch)
>>> y, m, d = sta1.get_date()
>>> print(y)
1993
>>> print(m)
10
>>> print(round(d, 4))
25.9358
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's inferior conjunction
a = 2451612.023
b = 115.8774771
m0 = 63.5867
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (-11.0761 + 0.0003 * t
+ sin(m) * (-4.7321 + t * (0.0023 + t * 0.00002))
+ cos(m) * (-1.323 - t * 0.0156)
+ sin(2.0 * m) * (0.227 - t * 0.0046)
+ cos(2.0 * m) * (0.7184 + t * (0.0013 - t * 0.00002))
+ sin(3.0 * m) * (0.0638 + t * 0.0016)
+ cos(3.0 * m) * (-0.1655 + t * 0.0007)
+ sin(4.0 * m) * (-0.0395 - t * 0.0003)
+ cos(4.0 * m) * (0.0247 - t * 0.0006)
+ sin(5.0 * m) * (0.0131)
+ cos(5.0 * m) * (-0.0008 + t * 0.0002))
to_return = jde0 + corr
return Epoch(to_return)
[docs] @staticmethod
def station_longitude_2(epoch):
"""This method computes the time of the 2nd station in longitude
(i.e. when the planet is stationary and begins to move eastward -
prograde - among the starts) closest to the given epoch.
:param epoch: Epoch close to the desired inferior conjunction
:type epoch: :py:class:`Epoch`
:returns: Time when the 2nd station in longitude happens, as an Epoch
:rtype: :py:class:`Epoch`
:raises: TypeError if input value is of wrong type.
:raises: ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 10, 1.0)
>>> sta2 = Mercury.station_longitude_2(epoch)
>>> y, m, d = sta2.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
15.0724
"""
# First check that input value is of correct types
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input type")
# Check that the input epoch is within valid range
y = epoch.year()
if y < -2000.0 or y > 4000.0:
raise ValueError("Epoch outside the -2000/4000 range")
# Set some specific constants for Mercury's inferior conjunction
a = 2451612.023
b = 115.8774771
m0 = 63.5867
m1 = 114.2088742
k = round((365.2425 * y + 1721060.0 - a) / b)
jde0 = a + k * b
m = m0 + k * m1
m = Angle(m).to_positive()
m = m.rad()
t = (jde0 - 2451545.0) / 36525.0
corr = (11.1343 - 0.0001 * t
+ sin(m) * (-3.9137 + t * (0.0073 + t * 0.00002))
+ cos(m) * (-3.3861 + t * (-0.0128 + t * 0.00001))
+ sin(2.0 * m) * (0.5222 + t * (-0.004 - t * 0.00002))
+ cos(2.0 * m) * (0.5929 + t * (0.0039 - t * 0.00002))
+ sin(3.0 * m) * (-0.0593 + t * 0.0018)
+ cos(3.0 * m) * (-0.1733 * t * (-0.0007 + t * 0.00001))
+ sin(4.0 * m) * (-0.0053 - t * 0.0006)
+ cos(4.0 * m) * (0.0476 - t * 0.0001)
+ sin(5.0 * m) * (0.007 + t * 0.0002)
+ cos(5.0 * m) * (-0.0115 + t * 0.0001))
to_return = jde0 + corr
return Epoch(to_return)
[docs] @staticmethod
def perihelion_aphelion(epoch, perihelion=True):
"""This method computes the time of Perihelion (or Aphelion) closer to
a given epoch.
:param epoch: Epoch close to the desired Perihelion (or Aphelion)
:type epoch: :py:class:`Epoch`
:param peihelion: If True, the epoch of the closest Perihelion is
computed, if False, the epoch of the closest Aphelion is found.
:type bool:
:returns: The epoch of the desired Perihelion (or Aphelion)
:rtype: :py:class:`Epoch`
:raises: TypeError if input values are of wrong type.
>>> epoch = Epoch(2000, 1, 1.0)
>>> e = Mercury.perihelion_aphelion(epoch)
>>> y, m, d, h, mi, s = e.get_full_date()
>>> print(y)
2000
>>> print(m)
2
>>> print(d)
15
>>> print(h)
18
>>> epoch = Epoch(2000, 3, 1.0)
>>> e = Mercury.perihelion_aphelion(epoch, perihelion=False)
>>> y, m, d, h, mi, s = e.get_full_date()
>>> print(y)
2000
>>> print(m)
3
>>> print(d)
30
>>> print(h)
17
"""
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input value")
# First approximation
k = 4.15201 * (epoch.year() - 2000.12)
if perihelion:
k = round(k)
else:
k = round(k + 0.5) - 0.5
jde = 2451590.257 + k * 87.96934963
# Compute the epochs half a day before and after
jde_before = jde - 0.5
jde_after = jde + 0.5
# Compute the Sun-Mercury distance for each epoch
l, b, r_b = Mercury.geometric_heliocentric_position(Epoch(jde_before))
l, b, r = Mercury.geometric_heliocentric_position(Epoch(jde))
l, b, r_a = Mercury.geometric_heliocentric_position(Epoch(jde_after))
# Call an interpolation object
m = Interpolation([jde_before, jde, jde_after], [r_b, r, r_a])
sol = m.minmax()
return Epoch(sol)
[docs] @staticmethod
def passage_nodes(epoch, ascending=True):
"""This function computes the time of passage by the nodes (ascending
or descending) of Mercury, nearest to the given epoch.
:param epoch: Epoch closest to the node passage
:type epoch: :py:class:`Epoch`
:param ascending: Whether the time of passage by the ascending (True)
or descending (False) node will be computed
:type ascending: bool
:returns: Tuple containing:
- Time of passage through the node (:py:class:`Epoch`)
- Radius vector when passing through the node (in AU, float)
:rtype: tuple
:raises: TypeError if input values are of wrong type.
>>> epoch = Epoch(2019, 1, 1)
>>> time, r = Mercury.passage_nodes(epoch)
>>> year, month, day = time.get_date()
>>> print(year)
2018
>>> print(month)
11
>>> print(round(day, 1))
24.7
>>> print(round(r, 4))
0.3143
"""
if not isinstance(epoch, Epoch):
raise TypeError("Invalid input types")
# Get the orbital parameters
l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
# Compute the time of passage through perihelion
t = Mercury.perihelion_aphelion(epoch)
# Get the time of passage through the node
time, r = passage_nodes_elliptic(arg, e, a, t, ascending)
return time, r
[docs] @staticmethod
def magnitude(sun_dist, earth_dist, phase_angle):
"""This function computes the approximate magnitude of Mercury.
:param sun_dist: Distance from Mercury to Sun, in Astronomical Units
:type sun_dist: float
:param earth_dist: Distance Mercury to Earth, in Astronomical Units
:type earth_dist: float
:param phase_angle: Mercury phase angle
:type phase_angle: float, :py:class:`Angle`
:returns: Mercury's magnitude
:rtype: float
:raises: TypeError if input values are of wrong type.
"""
if not (isinstance(sun_dist, float) and isinstance(earth_dist, float)
and isinstance(phase_angle, (float, Angle))):
raise TypeError("Invalid input types")
i = float(phase_angle)
i50 = i - 50.0
m = (1.16 + 5.0 * log10(sun_dist * earth_dist) + 0.02838 * i50
+ 0.0001023 * i50 * i50)
return round(m, 1)
def main():
# Let's define a small helper function
def print_me(msg, val):
print("{}: {}".format(msg, val))
# Let's show some uses of Mercury class
print("\n" + 35 * "*")
print("*** Use of Mercury class")
print(35 * "*" + "\n")
# Let's now compute the heliocentric position for a given epoch
epoch = Epoch(2018, 10, 27.0)
lon, lat, r = Mercury.geometric_heliocentric_position(epoch)
print_me("Geometric Heliocentric Longitude", lon.to_positive())
print_me("Geometric Heliocentric Latitude", lat)
print_me("Radius vector", r)
print("")
# Compute the geocentric position for 1992/12/20:
epoch = Epoch(1992, 12, 20.0)
ra, dec, elon = Mercury.geocentric_position(epoch)
print_me("Right ascension", ra.ra_str(n_dec=1))
print_me("Declination", dec.dms_str(n_dec=1))
print_me("Elongation", elon.dms_str(n_dec=1))
print("")
# Print mean orbital elements for Mercury at 2065.6.24
epoch = Epoch(2065, 6, 24.0)
l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
print_me("Mean longitude of the planet", round(l, 6)) # 203.494701
print_me("Semimajor axis of the orbit (UA)", round(a, 8)) # 0.38709831
print_me("Eccentricity of the orbit", round(e, 7)) # 0.2056451
print_me("Inclination on plane of the ecliptic", round(i, 6)) # 7.006171
print_me("Longitude of the ascending node", round(ome, 5)) # 49.10765
print_me("Argument of the perihelion", round(arg, 6)) # 29.367732
print("")
# Compute the time of the inferior conjunction close to 1993/10/1
epoch = Epoch(1993, 10, 1.0)
conjunction = Mercury.inferior_conjunction(epoch)
y, m, d = conjunction.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Inferior conjunction date", date)
# Compute the time of the superior conjunction close to 1993/10/1
epoch = Epoch(1993, 10, 1.0)
conjunction = Mercury.superior_conjunction(epoch)
y, m, d = conjunction.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Superior conjunction date", date)
print("")
# Compute the time and angle of the western elongation close to 1993/11/1
epoch = Epoch(1993, 11, 1.0)
time, elongation = Mercury.western_elongation(epoch)
y, m, d = time.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Western elongation date", date)
elong = round(elongation, 4)
print_me("Maximum western elongation angle", elong)
print("")
# Compute the time and angle of the eastern elongation close to 1990/8/1
epoch = Epoch(1990, 8, 1.0)
time, elongation = Mercury.eastern_elongation(epoch)
y, m, d = time.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Eastern elongation date", date)
elong = round(elongation, 4)
print_me("Maximum eastern elongation angle", elong)
print("")
# Compute the time of the station in longitude #1 close to 1993/10/1
epoch = Epoch(1993, 10, 1.0)
sta1 = Mercury.station_longitude_1(epoch)
y, m, d = sta1.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Date of station in longitude #1", date)
# Compute the time of the station in longitude #2 close to 1993/10/1
epoch = Epoch(1993, 10, 1.0)
sta2 = Mercury.station_longitude_2(epoch)
y, m, d = sta2.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Date of station in longitude #2", date)
print("")
# Find the epoch of the Perihelion closer to 2000/01/01
epoch = Epoch(2000, 1, 1.0)
e = Mercury.perihelion_aphelion(epoch)
y, m, d, h, mi, s = e.get_full_date()
peri = str(y) + '/' + str(m) + '/' + str(d) + ' at ' + str(h) + ' hours'
print_me("The Perihelion closest to 2000/1/1 happened on", peri)
print("")
# Compute the time of passage through an ascending node
epoch = Epoch(2019, 1, 1)
time, r = Mercury.passage_nodes(epoch)
y, m, d = time.get_date()
d = round(d, 1)
print("Time of passage through ascending node: {}/{}/{}".format(y, m, d))
# 2018/11/24.7
print("Radius vector at ascending node: {}".format(round(r, 4))) # 0.3143
if __name__ == "__main__":
main()