Source code for pymeeus.Mercury

# -*- 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