text: /*
  Module : AAVSOP87B_MER.cpp
  Purpose: Implementation for the algorithms for VSOP87
  Created: PJN / 13-09-2015
  History: PJN / 13-09-2015 1. Initial public release.
  
  Copyright (c) 2015 - 2018 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com)
  
  All rights reserved.
  
  Copyright / Usage Details:
  
  You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise)
  when your product is released in binary form. You are allowed to modify the source code in any way you want
  except you cannot modify the copyright details at the top of each module. If you want to distribute source
  code with your application, then you are only allowed to distribute versions released by the author. This is
  to maintain a single distribution point for the source code.
  
  */
  
  
  /////////////////////////////// Includes //////////////////////////////////////
  
  #include "stdafx.h"
  #include "AAVSOP87.h"
  #include "AAVSOP87B_MER.h"
  #include <cmath>
  using namespace std;
  
  
  ////////////////////////////// Macros / Defines ///////////////////////////////
  
  const VSOP87Coefficient g_VSOP87B_L0_MERCURY[] =
  {
    {        4.40250710144,        0.00000000000,        0.00000000000 },
    {        0.40989414977,        1.48302034195,    26087.90314157420 },
    {        0.05046294200,        4.47785489551,    52175.80628314840 },
    {        0.00855346844,        1.16520322459,    78263.70942472259 },
    {        0.00165590362,        4.11969163423,   104351.61256629678 },
    {        0.00034561897,        0.77930768443,   130439.51570787099 },
    {        0.00007583476,        3.71348404924,   156527.41884944518 },
    {        0.00003559745,        1.51202675145,     1109.37855209340 },
    {        0.00001726011,        0.35832267096,   182615.32199101939 },
    {        0.00001803464,        4.10333184211,     5661.33204915220 },
    {        0.00001364681,        4.59918328256,    27197.28169366760 },
    {        0.00001589923,        2.99510423560,    25028.52121138500 },
    {        0.00001017332,        0.88031393824,    31749.23519072640 },
    {        0.00000714182,        1.54144862493,    24978.52458948080 },
    {        0.00000643759,        5.30266166599,    21535.94964451540 },
    {        0.00000404200,        3.28228953196,   208703.22513259359 },
    {        0.00000352442,        5.24156372447,    20426.57109242200 },
    {        0.00000343312,        5.76531703870,      955.59974160860 },
    {        0.00000339215,        5.86327825226,    25558.21217647960 },
    {        0.00000451137,        6.04989282259,    51116.42435295920 },
    {        0.00000325329,        1.33674488758,    53285.18483524180 },
    {        0.00000259588,        0.98732774234,     4551.95349705880 },
    {        0.00000345213,        2.79211954198,    15874.61759536320 },
    {        0.00000272948,        2.49451165014,      529.69096509460 },
    {        0.00000234831,        0.26672019191,    11322.66409830440 },
    {        0.00000238793,        0.11343914400,     1059.38193018920 },
    {        0.00000264336,        3.91705105199,    57837.13833230060 },
    {        0.00000216645,        0.65987085507,    13521.75144159140 },
    {        0.00000183358,        2.62878694178,    27043.50288318280 },
    {        0.00000175965,        4.53636943501,    51066.42773105500 },
    {        0.00000181629,        2.43413603252,    25661.30495069820 },
    {        0.00000208996,        2.09178645677,    47623.85278608960 },
    {        0.00000172642,        2.45200139206,    24498.83024629040 },
    {        0.00000142317,        3.36004060149,    37410.56723987860 },
    {        0.00000137943,        0.29098540695,    10213.28554621100 },
    {        0.00000118233,        2.78149967294,    77204.32749453338 },
    {        0.00000096860,        6.20398934398,   234791.12827416777 },
    {        0.00000125219,        3.72079967668,    39609.65458316560 },
    {        0.00000086819,        2.64218953915,    51646.11531805379 },
    {        0.00000086723,        1.95952945936,    46514.47423399620 },
    {        0.00000088330,        5.41338287192,    26617.59410666880 },
    {        0.00000106422,        4.20572143374,    19804.82729158280 },
    {        0.00000089987,        5.85243663953,    41962.52073693740 },
    {        0.00000084970,        4.33100839394,    79373.08797681599 },
    {        0.00000069247,        4.19446500577,       19.66976089979 },
    {        0.00000063462,        3.14700988911,     7238.67559160000 },
    {        0.00000068493,        0.63424913908,    83925.04147387479 },
    {        0.00000069728,        3.57201999194,    25132.30339996560 },
    {        0.00000059481,        2.74692562834,    16983.99614745660 },
    {        0.00000064830,        0.04762450218,    33326.57873317420 },
    {        0.00000055377,        4.05313774098,    30639.85663863300 },
    {        0.00000054443,        3.14332489827,    27147.28507176339 },
    {        0.00000047560,        5.49722123456,        3.88133535800 },
    {        0.00000049567,        3.98985799218,     6770.71060124560 },
    {        0.00000056532,        5.11921332252,    73711.75592766379 },
    {        0.00000041764,        5.64184020485,    53131.40602475700 },
    {        0.00000051459,        5.47786791090,    50586.73338786459 },
    {        0.00000044745,        1.22367821919,    77154.33087262919 },
    {        0.00000041882,        5.19309331936,     6283.07584999140 },
    {        0.00000038045,        2.43118010131,    12566.15169998280 },
    {        0.00000035627,        0.81389896255,    32858.61374281979 },
    {        0.00000048008,        5.49260945754,    51749.20809227239 },
    {        0.00000035393,        3.36964017301,    36301.18868778519 },
    {        0.00000033952,        2.78617956300,    14765.23904326980 },
    {        0.00000030560,        5.84043579595,    43071.89928903080 },
    {        0.00000035964,        1.42379903884,     2218.75710418680 },
    {        0.00000034044,        0.47470616849,    65697.55772473979 },
    {        0.00000030800,        5.77017754761,   103292.23063610759 },
    {        0.00000028497,        0.65049545721,      426.59819087600 },
    {        0.00000026215,        5.24159685130,    22645.32819660879 },
    {        0.00000026253,        0.64808296487,     1589.07289528380 },
    {        0.00000029538,        0.69772207795,      213.29909543800 },
    {        0.00000027505,        0.98011083160,    45892.73043315699 },
    {        0.00000022347,        5.65336593067,    77734.01845962799 },
    {        0.00000022047,        4.93396759824,    72602.37737557039 },
    {        0.00000022275,        2.17909946933,    52705.49724824299 },
    {        0.00000024253,        4.39994479508,        7.11354700080 },
    {        0.00000026751,        1.06147352850,     3442.57494496540 },
    {        0.00000023656,        2.84171550782,   260879.03141574195 },
    {        0.00000022908,        2.58461108154,    68050.42387851159 },
    {        0.00000027087,        0.08501671340,    63498.47038145279 },
    {        0.00000022247,        3.22418752189,    25448.00585526019 },
    {        0.00000017803,        3.61202758583,   110012.94461544899 },
    {        0.00000022407,        1.02519770236,   105460.99111839019 },
    {        0.00000017576,        4.71743981697,    25874.60404613620 },
    {        0.00000018587,        4.52707983519,    28306.66024576099 },
    {        0.00000014176,        6.12393941824,    53235.18821333759 },
    {        0.00000014185,        5.14248515833,    26068.23338067440 },
    {        0.00000017244,        0.28394283830,    51220.20654153979 },
    {        0.00000017176,        3.26084148462,      153.77881048480 },
    {        0.00000014939,        1.83543553823,    99799.65906923798 },
    {        0.00000013389,        0.76569062416,    56727.75978020720 },
    {        0.00000013978,        2.30196369782,    76674.63652943878 },
    {        0.00000014428,        0.96645616238,    26107.57290247399 },
    {        0.00000011991,        6.20493040602,    18849.22754997420 },
    {        0.00000014381,        1.90954650143,    23969.13928119580 },
    {        0.00000011233,        2.04816282167,    32370.97899156560 },
    {        0.00000013387,        4.51756775840,    26080.78959457339 },
    {        0.00000011632,        2.38496112750,    79219.30916633119 },
    {        0.00000012412,        2.22281109320,    77837.11123384659 },
    {        0.00000009950,        2.04595599803,    48733.23133818299 },
    {        0.00000009803,        2.26703539620,    26091.78447693220 },
    {        0.00000009361,        5.44289482405,    38654.05484155699 },
    {        0.00000009746,        3.83975715814,    26084.02180621620 },
    {        0.00000009264,        4.02987321949,      467.96499035440 },
    {        0.00000008961,        0.11065043662,    62389.09182935939 },
    {        0.00000011544,        4.17786977391,   103242.23401420339 },
    {        0.00000011146,        3.78295646170,    26301.20223701220 },
    {        0.00000009677,        2.98528938781,    59414.48187474840 },
    {        0.00000008977,        3.47890335185,    91785.46086631398 },
    {        0.00000009664,        5.77943268592,    25938.33994443960 },
    {        0.00000008855,        2.84674490228,    25035.63475838580 },
    {        0.00000008180,        5.77857984038,    40853.14218484400 },
    {        0.00000008033,        2.45698456693,   129380.13377768178 },
    {        0.00000008343,        5.34502885776,    19317.19254032860 },
    {        0.00000007425,        4.71160285382,        6.62855890001 },
    {        0.00000009001,        6.23397065428,    25021.40766438420 },
    {        0.00000008126,        1.12294678263,    26095.01668857500 },
    {        0.00000006568,        3.66246087364,    26514.50133245020 },
    {        0.00000007038,        3.99042086727,    71980.63357473118 },
    {        0.00000006956,        1.62821293256,    23869.14603738740 },
    {        0.00000007595,        0.18335017533,    12432.04265039780 },
    {        0.00000006061,        3.67045619806,    27676.97603685800 },
    {        0.00000005896,        5.57171840811,    94138.32702008578 },
    {        0.00000005716,        5.18202059613,    78793.40038981718 },
    {        0.00000005854,        2.14305101727,    20760.42703319140 },
    {        0.00000005680,        1.60728089799,    98690.28051714458 },
    {        0.00000005789,        2.35464263941,   103821.92160120218 },
    {        0.00000005124,        3.77854984569,    58946.51688439399 },
    {        0.00000005869,        5.76284651190,   286966.93455731618 },
    {        0.00000005858,        6.12539769557,    26011.63707029860 },
    {        0.00000005216,        3.29188857438,    38519.94579197200 },
    {        0.00000006000,        0.00056823654,    51535.90899683439 },
    {        0.00000004647,        0.29029324438,   136100.84775702318 },
    {        0.00000005787,        4.44778418175,    19406.67828817460 },
    {        0.00000005908,        4.12201530508,    29530.47808653960 },
    {        0.00000005917,        3.98935947283,   131548.89425996438 },
    {        0.00000005729,        3.02328937218,    89586.37352302698 },
    {        0.00000003928,        4.81446546705,   125887.56221081219 },
    {        0.00000003930,        2.48445582384,    69159.80243060499 },
    {        0.00000003681,        2.80184812919,    79323.09135491178 },
    {        0.00000004497,        1.50332900944,    51962.50718771040 },
    {        0.00000003687,        5.33731853178,   102762.53967101299 },
    {        0.00000003495,        1.85405073784,    52156.13652224860 },
    {        0.00000003868,        1.25354721052,    54394.56338733519 },
    {        0.00000004459,        4.88906500860,    50057.04242277000 },
    {        0.00000003397,        3.73895635453,    82815.66292178139 },
    {        0.00000003524,        6.07665334083,    25934.12433108940 },
    {        0.00000003492,        1.28212999580,    52168.69273614759 },
    {        0.00000003410,        6.13975533859,      639.89728631400 },
    {        0.00000004396,        3.25474698374,    77308.10968311399 },
    {        0.00000002990,        5.27320912825,    46848.33017476560 },
    {        0.00000003218,        5.20951952570,   103925.01437542078 },
    {        0.00000002899,        5.08446931064,    58458.88213313979 },
    {        0.00000003708,        0.02716119180,    26241.68195205900 },
    {        0.00000002991,        2.92282776454,    44937.13069154840 },
    {        0.00000003177,        0.05757316718,    22747.29071487440 },
    {        0.00000003163,        5.38719447649,   105307.21230790539 },
    {        0.00000003556,        3.96232550668,    52195.47604404819 },
    {        0.00000002786,        0.54711208086,    52389.10537858640 },
    {        0.00000002458,        1.14914981714,     2333.19639287200 },
    {        0.00000002492,        5.24929906471,    25668.41849769900 },
    {        0.00000002408,        2.14206640426,    64741.95798313119 },
    {        0.00000002512,        0.61953030750,    85034.42002596818 },
    {        0.00000002416,        5.26205009423,    52179.68761850640 },
    {        0.00000002296,        3.09905229352,    88476.99497093359 },
    {        0.00000002357,        0.17755751938,   117873.36400788819 },
    {        0.00000003012,        0.83692018918,   129330.13715577759 },
    {        0.00000002421,        3.95905297486,       49.99662190420 },
    {        0.00000002198,        2.56141354099,     3340.61242669980 },
    {        0.00000002402,        0.55122303655,    52171.92494779040 },
    {        0.00000002106,        5.41293286528,   155468.03691925600 },
    {        0.00000002566,        3.00613732096,    51109.31080595839 },
    {        0.00000002392,        0.17900577928,      103.09277421860 },
    {        0.00000002737,        1.08182962639,      632.78373931320 },
    {        0.00000002523,        5.90364727370,    51123.53789995999 },
    {        0.00000002098,        2.47134468716,    66941.04532641819 },
    {        0.00000002003,        3.75400419522,    16066.06586147480 },
    {        0.00000002187,        1.18677902826,     2118.76386037840 },
    {        0.00000002592,        2.55125611209,    25654.19140369739 },
    {        0.00000002558,        1.18092756650,    45494.58142974879 },
    {        0.00000001918,        0.79900663165,    26555.86813192860 },
    {        0.00000001819,        0.69190176381,    98068.53671630539 },
    {        0.00000002470,        2.55063539113,    52026.24308601380 },
    {        0.00000001703,        0.36707055030,    52602.40447402440 },
    {        0.00000002128,        2.66244619788,    18093.37469954999 },
    {        0.00000001715,        4.62167075193,    49957.04917896160 },
    {        0.00000001916,        5.83738859952,    85502.38501632259 },
    {        0.00000001975,        3.57371472249,    24395.73747207180 },
    {        0.00000001589,        1.33529471080,      114.43928868521 },
    {        0.00000001580,        0.36965179736,    53764.87917843220 },
    {        0.00000002040,        2.05393633143,    45405.09568190280 },
    {        0.00000001538,        2.25451813652,   120226.23016165999 },
    {        0.00000001525,        1.48227419795,    26094.53170047421 },
    {        0.00000002055,        4.16318224321,    52182.91983014920 },
    {        0.00000001829,        0.38851668054,      522.57741809380 },
    {        0.00000002105,        4.04134275183,    25234.70675982219 },
    {        0.00000001480,        1.87649882402,   104881.30353139139 },
    {        0.00000001460,        1.01787199022,    25455.11940226100 },
    {        0.00000001452,        0.34126077893,     1052.26838318840 },
    {        0.00000001449,        3.39746980273,    24505.94379329119 },
    {        0.00000001480,        4.55091353969,   124778.18365871879 },
    {        0.00000001481,        3.62243153520,      149.56319713460 },
    {        0.00000001515,        5.32310335641,   129909.82474277639 },
    {        0.00000001594,        3.00904352013,    77623.81213840858 },
    {        0.00000001927,        3.90375426022,       74.78159856730 },
    {        0.00000001374,        4.32416902448,    80482.46652890938 },
    {        0.00000001420,        3.90107663911,     7880.08915333899 },
    {        0.00000001525,        4.62447824359,    26081.27458267419 },
    {        0.00000001567,        0.65986586630,   157636.79740153858 },
    {        0.00000001725,        4.40110982693,      316.39186965660 },
    {        0.00000001263,        4.96345861180,    74821.13447975718 },
    {        0.00000001472,        5.56023083923,    95247.70557217918 },
    {        0.00000001315,        1.83261160452,    76144.94556434419 },
    {        0.00000001439,        0.83307888017,    55618.38122811380 },
    {        0.00000001355,        3.15836403543,     1066.49547719000 },
    {        0.00000001223,        3.24039981367,   162188.75089859738 },
    {        0.00000001390,        5.13722781530,      419.48464387520 },
    {        0.00000001309,        5.28240557347,    25619.93815121980 },
    {        0.00000001477,        2.40286418702,   313054.83769889036 },
    {        0.00000001252,        5.65232980046,    26013.12154300690 },
    {        0.00000001143,        0.38696459711,    42153.96900304900 },
    {        0.00000001082,        2.56546867715,    26190.99591579279 },
    {        0.00000001493,        2.89979127265,    52099.54021187280 },
    {        0.00000001468,        5.71541196756,    24491.71669928959 },
    {        0.00000001034,        1.49588002262,   151975.46535238638 },
    {        0.00000001315,        5.91525944336,   115674.27666460119 },
    {        0.00000001065,        3.61056177659,      206.18554843720 },
    {        0.00000001053,        5.18007204084,    23754.70674870219 },
    {        0.00000000963,        2.05291382470,   128850.44281258718 },
    {        0.00000001031,        3.39058255009,    25551.09862947879 },
    {        0.00000001065,        3.38232835239,    25863.55834587229 },
    {        0.00000001153,        5.76502004439,    44181.27784112419 },
    {        0.00000000960,        5.74762439771,   105410.99449648599 },
    {        0.00000001137,        6.20916641857,   103396.01282468818 },
    {        0.00000000914,        4.28846119946,    78256.59587772179 },
    {        0.00000000918,        3.27512590931,       76.26607127560 },
    {        0.00000000892,        4.82401266810,    78244.03966382280 },
    {        0.00000000977,        4.86447903869,    25131.61398560359 },
    {        0.00000001086,        0.73421207473,    33967.99229491319 },
    {        0.00000001162,        4.52149319583,    78050.41032928458 },
    {        0.00000000868,        2.78832869275,    52022.02747266360 },
    {        0.00000000944,        4.09732379319,    26720.68688088739 },
    {        0.00000000973,        4.54021116854,    24925.42843716640 },
    {        0.00000000845,        5.05428850137,    25977.69682035479 },
    {        0.00000000841,        1.89439003615,   130012.91751699499 },
    {        0.00000000920,        3.02491491588,    52329.58509363319 },
    {        0.00000000813,        3.15301734719,    48835.19385644859 },
    {        0.00000000877,        0.41324612537,   108903.56606335558 },
    {        0.00000000819,        1.61521143447,    40565.25432477420 },
    {        0.00000001075,        1.37287014880,    23439.44831610119 },
    {        0.00000000812,        2.82158357641,    25984.81036735560 },
    {        0.00000000775,        2.86885996155,    26727.80042788820 },
    {        0.00000000755,        5.44067758231,    24609.03656750980 },
    {        0.00000000919,        4.72527676083,    14477.35118320000 },
    {        0.00000000914,        4.70822051956,     6681.22485339960 },
    {        0.00000000749,        1.80266552461,    84546.78527471398 },
    {        0.00000000906,        0.64975766863,    78283.37918562238 },
    {        0.00000000855,        5.05062817348,      307.55762096960 },
    {        0.00000000766,        5.89903011866,    71025.03383312259 },
    {        0.00000000713,        3.55177815121,    78477.00852016058 },
    {        0.00000000719,        1.85087720309,   100909.03762133139 },
    {        0.00000000858,        5.43952313313,      536.80451209540 },
    {        0.00000000794,        3.77060303998,   155418.04029735178 },
    {        0.00000000848,        2.08846185252,   131395.11544947958 },
    {        0.00000000623,        3.14632637321,   143961.26714946239 },
    {        0.00000000623,        5.10465766894,    90829.86112470538 },
    {        0.00000000621,        4.59014649415,     9103.90699411760 },
    {        0.00000000706,        4.19528422791,    71582.48457132299 },
    {        0.00000000739,        0.15975550376,    24712.12934172840 },
    {        0.00000000714,        1.88028345040,     2199.08734328700 },
    {        0.00000000677,        6.01432060800,    77197.21394753258 },
    {        0.00000000620,        1.32853841881,     3328.13565628019 },
    {        0.00000000650,        5.51234531031,    29428.51556827400 },
    {        0.00000000657,        2.03363099847,    51756.32163927320 },
    {        0.00000000594,        6.06826637505,   114564.89811250778 },
    {        0.00000000666,        0.70705130538,    26162.68474014150 },
    {        0.00000000598,        5.15770220681,      333.85594076940 },
    {        0.00000000616,        1.94904709349,    78267.59076008058 },
    {        0.00000000774,        2.84218106686,    13655.86049117640 },
    {        0.00000000697,        5.60799904851,    51742.09454527159 },
    {        0.00000000556,        2.07542224847,   181555.94006083018 },
    {        0.00000000548,        3.17702541600,    90695.75207512039 },
    {        0.00000000541,        4.20819062980,    28421.09953444620 },
    {        0.00000000638,        5.55947577602,    78114.14622758799 },
    {        0.00000000529,        3.60221910186,     1911.19948321720 },
    {        0.00000000619,        4.87812731811,    25771.51127191760 },
    {        0.00000000570,        3.56318859887,   111122.32316754239 },
    {        0.00000000510,        4.20288540310,    28206.66700195260 },
    {        0.00000000539,        5.42636252112,    93028.94846799239 },
    {        0.00000000658,        3.45393169676,    26610.48055966799 },
    {        0.00000000613,        3.52134452894,    78259.82808936459 },
    {        0.00000000577,        0.81666137084,    51322.60990139639 },
    {        0.00000000594,        1.16298541260,    26404.29501123080 },
    {        0.00000000497,        5.37653944274,    26037.90651966999 },
    {        0.00000000663,        2.63276230593,    77211.44104153418 },
    {        0.00000000486,        1.96691155158,    26507.38778544939 },
    {        0.00000000474,        3.65214522517,   124156.43985787958 },
    {        0.00000000550,        5.81053917486,     1731.12235293260 },
    {        0.00000000472,        3.79306901191,    52643.77127350280 },
    {        0.00000000467,        4.50162371638,      110.20632121940 },
    {        0.00000000592,        3.04748129459,    12725.45343477500 },
    {        0.00000000551,        0.68606702543,    26137.89976347840 },
    {        0.00000000600,        0.33955465102,    50483.64061364600 },
    {        0.00000000525,        0.87914542260,    78270.82297172339 },
    {        0.00000000443,        3.33347421396,    78690.30761559859 },
    {        0.00000000439,        1.30939082033,    76044.95232053580 },
    {        0.00000000588,        2.37059415297,   121335.60871375339 },
    {        0.00000000426,        0.14790973129,    50593.84693486539 },
    {        0.00000000413,        3.33312213477,    79852.78232000639 },
    {        0.00000000403,        5.20675969218,   146314.13330323418 },
    {        0.00000000524,        5.02826409094,    71492.99882347698 },
    {        0.00000000417,        5.99136591640,   103711.71527998279 },
    {        0.00000000389,        4.44187693350,    29416.03879785439 },
    {        0.00000000389,        4.02257298908,    51543.02254383520 },
    {        0.00000000442,        2.37195011319,   111590.28815789679 },
    {        0.00000000375,        4.47560820150,    52182.43484204840 },
    {        0.00000000387,        4.83554303442,   130969.20667296558 },
    {        0.00000000389,        1.20251530573,   150866.08680029298 },
    {        0.00000000407,        0.52988897291,      433.71173787680 },
    {        0.00000000416,        3.60366729170,   183724.70054311279 },
    {        0.00000000439,        2.45449965869,    50579.61984086379 },
    {        0.00000000412,        0.50038241185,    27999.10262479140 },
    {        0.00000000392,        0.68295335891,      134.10904958500 },
    {        0.00000000399,        1.99463585522,   155997.72788435058 },
    {        0.00000000422,        5.83266410745,    38813.35657634920 },
    {        0.00000000346,        3.40284434869,    27140.17152476259 },
    {        0.00000000368,        3.80729957662,    81706.28436968799 },
    {        0.00000000342,        0.83873809330,    25764.39772491679 },
    {        0.00000000358,        1.99506378254,     1089.70879119360 },
    {        0.00000000463,        3.33594289344,    25440.89230825939 },
    {        0.00000000331,        0.37072554435,    26237.46633870879 },
    {        0.00000000330,        6.19220570613,   188276.65404017159 },
    {        0.00000000408,        2.17144409714,      641.41356173899 },
    {        0.00000000321,        5.02563588253,   102232.84870591838 },
    {        0.00000000330,        5.51852292754,    10021.83728009940 },
    {        0.00000000334,        2.49304639997,    25344.91308104160 },
    {        0.00000000381,        5.90959254017,    78187.44335344699 },
    {        0.00000000316,        2.42543561835,    52101.02468458109 },
    {        0.00000000331,        4.38957047363,    26202.34243025941 },
    {        0.00000000401,        1.99445200318,    49842.60989027639 },
    {        0.00000000422,        0.46556007098,        1.48447270830 },
    {        0.00000000310,        6.18778948056,    27154.39861876420 },
    {        0.00000000302,        4.68609762435,    25565.32572348040 },
    {        0.00000000297,        1.70847616577,    25973.46385288896 },
    {        0.00000000375,        5.32471088557,   339142.74084046460 },
    {        0.00000000328,        5.32599595480,      853.19638175200 },
    {        0.00000000299,        5.81110649116,     1692.16566950240 },
    {        0.00000000378,        1.33738289334,    52169.17772424839 },
    {        0.00000000289,        6.20208961953,    25881.71759313700 },
    {        0.00000000277,        4.45045644666,   178063.36849396059 },
    {        0.00000000291,        4.44971680232,      579.68758699880 },
    {        0.00000000316,        1.96022181583,    51707.84129279399 },
    {        0.00000000337,        4.21436282894,    34282.17847478280 },
    {        0.00000000334,        3.00242982742,    23866.04650697719 },
    {        0.00000000268,        1.34364307187,    35191.81013569180 },
    {        0.00000000308,        5.94802883612,    64607.84893354619 },
    {        0.00000000283,        0.96217168652,     1639.06951718800 },
    {        0.00000000287,        1.28056998141,    51013.33157874059 },
    {        0.00000000270,        0.55824473532,     3462.24470586520 },
    {        0.00000000274,        5.60833767567,    52278.89905736699 },
    {        0.00000000352,        0.49345825951,    26294.08869001139 },
    {        0.00000000358,        1.23398111485,     1223.81784077861 },
    {        0.00000000344,        4.29281175054,    49527.35145767539 },
    {        0.00000000255,        5.03014367020,   154938.34595416137 },
    {        0.00000000297,        2.87098037822,   129483.91596626239 },
    {        0.00000000253,        0.09066729355,    13541.42120249119 },
    {        0.00000000301,        1.22703459160,   104138.31347085879 },
    {        0.00000000274,        3.67743328955,    68241.87214462319 },
    {        0.00000000321,        2.49935317919,   141762.17980617538 },
    {        0.00000000290,        1.02140013440,     8194.27533320860 },
    {        0.00000000239,        0.99187379290,   104344.49901929598 },
    {        0.00000000277,        0.53135196296,      949.17560896980 },
    {        0.00000000248,        2.39745008860,   131498.89763806018 },
    {        0.00000000274,        2.09609851306,    26624.70765366959 },
    {        0.00000000240,        0.85016661328,    52808.59002246159 },
    {        0.00000000266,        0.18316540889,     2168.76048228260 },
    {        0.00000000237,        3.15135087265,    23976.25282819660 },
    {        0.00000000229,        2.19886640826,    50696.93970908399 },
    {        0.00000000225,        4.85647140456,   156100.82065856917 },
    {        0.00000000231,        1.49530886624,   104331.94280539699 },
    {        0.00000000282,        1.63421453401,    51219.51712717779 },
    {        0.00000000245,        4.68702231602,     5327.47610838280 },
    {        0.00000000220,        5.75804546531,    78109.93061423779 },
    {        0.00000000218,        5.42845467468,    18207.81398823521 },
    {        0.00000000227,        6.02399891588,     1581.95934828300 },
    {        0.00000000232,        5.99760045579,    78417.48823520739 },
    {        0.00000000220,        3.72002247582,     7994.52844202420 },
    {        0.00000000271,        0.20761446669,    51639.00177105299 },
    {        0.00000000243,        2.33618213590,    25138.72753260440 },
    {        0.00000000253,        5.46291034047,      621.74380083920 },
    {        0.00000000280,        0.15532838705,    51951.46148744649 },
    {        0.00000000209,        0.01830817650,    26164.16921284980 },
    {        0.00000000208,        6.17986143435,    74923.09699802278 },
    {        0.00000000206,        1.61576904815,    25241.82030682300 },
    {        0.00000000236,        4.28926910244,    24079.34560241519 },
    {        0.00000000211,        1.95574736110,      735.87651353180 },
    {        0.00000000206,        5.86779636866,    52072.71350892979 },
    {        0.00000000235,        3.60456469848,   104371.28232719658 },
    {        0.00000000228,        3.66072813155,     1596.18644228460 },
    {        0.00000000198,        5.85490519500,    52815.70356946240 },
    {        0.00000000198,        1.02967825338,    25867.49049913539 },
    {        0.00000000219,        1.39355980522,    32769.12799497380 },
    {        0.00000000229,        3.36247801855,   134991.46920492980 },
    {        0.00000000197,        4.77851384259,   110634.68841628819 },
    {        0.00000000213,        0.77959231227,      917.93028598180 },
    {        0.00000000190,        4.24426555817,       14.22709400160 },
    {        0.00000000209,        5.44598697132,   147423.51185532758 },
    {        0.00000000229,        0.76395418391,      220.41264243880 },
    {        0.00000000185,        0.24825412134,   104564.91166173479 },
    {        0.00000000189,        3.32749048432,       30.32686100440 },
    {        0.00000000182,        2.31699263584,     9384.84100807520 },
    {        0.00000000209,        1.81798829614,    52065.59996192899 },
    {        0.00000000191,        0.91256199920,    97670.38771289718 },
    {        0.00000000209,        0.41166983619,   181505.94343892598 },
    {        0.00000000195,        1.96978627522,      314.18617986960 },
    {        0.00000000185,        2.71647255738,   103285.11708910679 },
    {        0.00000000188,        4.30567171912,     1884.90116341740 },
    {        0.00000000225,        5.05990359517,   157483.01859105378 },
    {        0.00000000194,        0.98119689475,    26049.77010593640 },
    {        0.00000000193,        4.82115364463,   126996.94076290558 },
    {        0.00000000185,        0.67159839253,   106570.36967048359 },
    {        0.00000000167,        5.70903987089,    96357.08412427259 },
    {        0.00000000200,        2.57264462597,    97112.93697469679 },
    {        0.00000000184,        2.33825467783,    77829.99768684579 },
    {        0.00000000176,        3.20477474376,    39629.32434406539 },
    {        0.00000000169,        2.30516506046,      101.96251826560 },
    {        0.00000000224,        3.20562091672,    50800.03248330259 },
    {        0.00000000195,        5.18234930994,    99024.13645791399 },
    {        0.00000000163,        6.10607233599,   170049.17029103660 },
    {        0.00000000176,        4.28787695022,    25780.34552060460 },
    {        0.00000000165,        6.00499743312,      224.34479570190 },
    {        0.00000000160,        1.94771721315,    26421.75908234360 },
    {        0.00000000167,        3.75605549998,    52250.58788171570 },
    {        0.00000000164,        1.77310680762,   116917.76426627958 },
    {        0.00000000216,        2.59043583275,    27819.02549450680 },
    {        0.00000000154,        1.63000015144,    24815.22211594700 },
    {        0.00000000155,        4.49642342619,      956.28915597060 },
    {        0.00000000165,        3.81500359793,    77410.51304297059 },
    {        0.00000000153,        3.95671977623,    24601.92302050899 },
    {        0.00000000151,        5.03883003223,   207643.84320240439 },
    {        0.00000000158,        4.95378278448,    35472.74414964940 },
    {        0.00000000180,        5.62656169139,   103299.34418310839 },
    {        0.00000000165,        2.25891713026,   104202.04936916218 },
    {        0.00000000166,        1.72114015725,     2648.45482547300 },
    {        0.00000000173,        2.62016482892,    26086.41866886590 },
    {        0.00000000156,        1.62948955004,    51859.41441349179 },
    {        0.00000000145,        2.63569129484,    24292.64469785319 },
    {        0.00000000166,        0.21317040603,    52698.38370124219 },
    {        0.00000000155,        1.79976780999,        3.93215326310 },
    {        0.00000000151,        2.74555154751,   140652.80125408198 },
    {        0.00000000170,        0.79077348232,    72936.23331633979 },
    {        0.00000000177,        5.06186919984,    77844.22478084739 },
    {        0.00000000150,        4.93080506410,    28286.99048486120 },
    {        0.00000000175,        5.79341041658,    39743.76363275060 },
    {        0.00000000163,        3.37027230636,    76571.54375522019 },
    {        0.00000000186,        1.81335534539,    26395.46076254379 },
    {        0.00000000159,        4.90444632725,   104355.49390165479 },
    {        0.00000000149,        4.20183170995,    52492.19815280499 },
    {        0.00000000146,        1.31209567772,    26198.10946279360 },
    {        0.00000000163,        2.25608093049,    55516.41870984820 },
    {        0.00000000131,        0.90558224757,    54294.57014352679 },
    {        0.00000000142,        1.71011577241,    92741.06060792258 },
    {        0.00000000138,        0.64118842478,    86143.79857806159 },
    {        0.00000000165,        4.72014033895,     4083.98850670440 },
    {        0.00000000132,        0.92042529620,    54509.00267602040 },
    {        0.00000000125,        0.31897986681,   150244.34299945380 },
    {        0.00000000144,        1.05243628393,     1083.08023229360 },
    {        0.00000000144,        4.17447706870,    24822.33566294780 },
    {        0.00000000151,        0.38915510192,      487.63475125420 },
    {        0.00000000134,        3.86340442367,   104358.72611329758 },
    {        0.00000000123,        2.08423913645,    52125.80966124419 },
    {        0.00000000122,        5.01127438966,    52595.29092702359 },
    {        0.00000000140,        2.08502567831,   119116.85160956658 },
    {        0.00000000158,        5.19357058726,    23962.02573419499 },
    {        0.00000000134,        6.25970085732,      636.99627202420 },
    {        0.00000000135,        0.57090512541,    25936.85547173129 },
    {        0.00000000118,        3.30558637192,     1263.15736257819 },
    {        0.00000000127,        0.19814904969,       38.13303563780 },
    {        0.00000000164,        3.27172225246,    26089.38761428249 },
    {        0.00000000131,        3.65063342527,    29550.14784743939 },
    {        0.00000000139,        4.69100415119,     2014.98167179780 },
    {        0.00000000116,        2.69254429880,   129799.61842155698 },
    {        0.00000000159,        0.19389508543,   104347.73123093879 },
    {        0.00000000119,        0.49364918929,    78731.67441507700 },
    {        0.00000000122,        5.26003763179,    26729.31670331319 },
    {        0.00000000115,        1.35337166628,    75615.25459924959 },
    {        0.00000000112,        4.26094907654,   102132.85546210999 },
    {        0.00000000119,        5.54566614405,    76667.52298243798 },
    {        0.00000000135,        1.69822927449,    97580.90196505119 },
    {        0.00000000120,        3.20629586215,    76681.75007643958 },
    {        0.00000000113,        6.26294483694,   104778.21075717278 },
    {        0.00000000127,        0.11236915083,    51528.79544983359 },
    {        0.00000000145,        3.61600835664,    52225.80290505260 },
    {        0.00000000108,        5.72635533853,    24176.70365835700 },
    {        0.00000000132,        1.56301672659,    25939.82441714789 },
    {        0.00000000124,        4.17936911601,    25754.04720080480 },
    {        0.00000000117,        1.71758893092,    22759.76748529401 },
    {        0.00000000111,        3.52660271138,    24356.78078864160 },
    {        0.00000000112,        0.28845559419,   209812.60368468694 },
    {        0.00000000106,        6.26831675546,   105940.68546158058 },
    {        0.00000000104,        1.87785131678,   172402.03644480839 },
    {        0.00000000108,        2.96242441236,     1375.77379984580 },
    {        0.00000000101,        3.85084997066,     1478.86657406440 },
    {        0.00000000114,        5.20579936690,   137678.19129947099 },
    {        0.00000000100,        1.55712053447,    25973.50403466079 },
    {        0.00000000115,        5.15253758124,     1135.67687189320 },
    {        0.00000000101,        0.73572502180,    77630.92568540938 },
    {        0.00000000101,        0.25974575144,      160.40736938481 },
    {        0.00000000106,        0.03739242592,      180.07713028460 },
    {        0.00000000105,        0.00912179296,    13362.44970679920 },
    {        0.00000000096,        1.18770041705,    78270.33798362259 },
    {        0.00000000125,        4.60962604344,    11610.55195837420 },
    {        0.00000000096,        0.48777092970,   107794.18751126219 },
    {        0.00000000101,        4.13659062020,   176953.98994186718 },
    {        0.00000000099,        1.50710271888,   157057.10981453978 },
    {        0.00000000094,        3.53697478079,    26521.61487945100 },
    {        0.00000000106,        4.57421536992,    26073.67604757259 },
    {        0.00000000091,        3.12915113312,    64901.25971792339 },
    {        0.00000000106,        4.04251666854,    27726.97265876220 },
    {        0.00000000091,        3.88291208024,    51852.30086649099 },
    {        0.00000000087,        5.20300185641,     1485.29070670320 },
    {        0.00000000115,        5.97185006663,    24182.43837663380 },
    {        0.00000000099,        2.12029899747,    66653.15746634839 },
    {        0.00000000094,        2.62091616233,   104275.34649502118 },
    {        0.00000000112,        6.04706301250,    49953.94964855139 },
    {        0.00000000106,        2.06630121790,   125112.03959948818 },
    {        0.00000000083,        3.35095689116,    52325.36948028299 },
    {        0.00000000083,        2.82819081777,   214364.55718174577 },
    {        0.00000000082,        4.04236392434,   132658.27281205778 },
    {        0.00000000102,        4.95574370006,   182085.63102592478 },
    {        0.00000000081,        5.45741776539,    78188.92782615528 },
    {        0.00000000096,        5.55885300690,    51432.81622261579 },
    {        0.00000000090,        1.00092960433,     9745.32055585660 },
    {        0.00000000084,        0.11009911861,    53228.07466633679 },
    {        0.00000000080,        6.13435930809,   137210.22630911658 },
    {        0.00000000080,        2.72523265777,    25042.74830538660 },
    {        0.00000000081,        1.88879072729,   128320.75184749259 },
    {        0.00000000091,        4.44731219389,    26091.83529483729 },
    {        0.00000000078,        4.29086934596,    77101.23472031478 },
    {        0.00000000079,        1.07554886014,    50167.24874398939 },
    {        0.00000000083,        0.96682340020,    25788.77674730500 },
    {        0.00000000077,        3.73919172780,    26222.01219115920 },
    {        0.00000000075,        2.88523920506,    53242.30176033840 },
    {        0.00000000075,        1.15216528271,   204151.27163553477 },
    {        0.00000000104,        4.31779632686,    23888.81579828719 },
    {        0.00000000075,        2.56714081506,    19202.75325164339 },
    {        0.00000000094,        4.32366559460,    78257.08086582259 },
    {        0.00000000088,        3.55952578858,    52381.99183158559 },
    {        0.00000000088,        3.52519120352,    60055.89543648739 },
    {        0.00000000071,        4.96476508038,    26823.77965510599 },
    {        0.00000000077,        5.82847259563,   155571.81910783658 },
    {        0.00000000099,        3.23844307345,    28256.66362385679 },
    {        0.00000000070,        4.31065427591,    86457.98475793119 },
    {        0.00000000076,        2.22271998217,    36109.74042167360 },
    {        0.00000000076,        1.00884250882,    25352.02662804239 },
    {        0.00000000095,        5.99918199930,    19958.60610206760 },
    {        0.00000000080,        1.13460275260,    52290.24557183361 },
    {        0.00000000087,        1.31383914626,    26667.59072857300 },
    {        0.00000000073,        2.05114043397,    26941.09952332620 },
    {        0.00000000075,        1.56761266225,    51653.22886505459 },
    {        0.00000000074,        4.24204028736,   130226.21661243298 },
    {        0.00000000071,        4.73961301470,    52061.36699446317 },
    {        0.00000000095,        1.93406737148,   365230.64398203877 },
    {        0.00000000073,        2.96407551460,    25024.58905812189 },
    {        0.00000000070,        2.23536123203,   173511.41499690176 },
    {        0.00000000069,        2.26111089193,      159.30173479220 },
    {        0.00000000076,        5.58932777184,    13675.53025207620 },
    {        0.00000000066,        2.59450231797,    27780.06881107659 },
    {        0.00000000066,        1.14753207913,    55503.94193942859 },
    {        0.00000000075,        4.29563438170,    27311.72098235281 },
    {        0.00000000066,        2.92871283816,    23919.14265929160 },
    {        0.00000000081,        5.35656494266,   167850.08294774959 },
    {        0.00000000065,        1.76581252465,   181026.24909573558 },
    {        0.00000000064,        0.55885405924,    34082.43158359840 },
    {        0.00000000068,        5.13310648307,    52712.61079524379 },
    {        0.00000000063,        3.98734650866,   130432.40216087017 },
    {        0.00000000073,        5.05540467899,    27177.61193276780 },
    {        0.00000000081,        0.87794410758,    25446.48957983520 },
    {        0.00000000072,        2.75418245422,       11.04570026390 },
    {        0.00000000071,        6.19433993178,    50064.15596977079 },
    {        0.00000000078,        4.91889852543,    77795.74443436819 },
    {        0.00000000062,        3.90028384133,    27005.83342755599 },
    {        0.00000000085,        3.57336994355,    27037.07875054399 },
    {        0.00000000063,        5.38131021751,    51226.63067417859 },
    {        0.00000000060,        3.86941305331,    78896.49316403578 },
    {        0.00000000084,        3.73808276953,    26308.31578401300 },
    {        0.00000000067,        2.33716983257,    78366.80219894118 },
    {        0.00000000060,        2.70936065867,   104505.39137678158 },
    {        0.00000000058,        4.70485127291,      103.78218858060 },
    {        0.00000000058,        4.90593616982,    25508.21555457540 },
    {        0.00000000063,        5.19084024444,    76784.84285065818 },
    {        0.00000000072,        3.44175435793,    54087.00576636560 },
    {        0.00000000066,        2.97381764080,    51969.62073471119 },
    {        0.00000000058,        1.54682427778,   182188.72380014337 },
    {        0.00000000057,        2.46940249341,   104197.83375581198 },
    {        0.00000000065,        5.33114478447,   157586.80077963436 },
    {        0.00000000066,        6.05053372563,      647.01083331480 },
    {        0.00000000065,        4.63705403958,    61279.71327726600 },
    {        0.00000000060,        4.42236493104,   130419.84594697120 },
    {        0.00000000056,        4.63022377760,    51329.72344839720 },
    {        0.00000000060,        1.90391714646,   102018.41617342478 },
    {        0.00000000056,        2.17285982642,      323.50541665740 },
    {        0.00000000061,        0.24700789346,   130459.18546877075 },
    {        0.00000000054,        1.65192940412,    31415.37924995700 },
    {        0.00000000069,        4.68284550055,    77307.42026875199 },
    {        0.00000000056,        4.05991604789,    32132.13172294960 },
    {        0.00000000054,        2.49487716279,    22625.65843570900 },
    {        0.00000000059,        1.82755627609,   183570.92173262799 },
    {        0.00000000066,        3.17086218594,    78039.36462902068 },
    {        0.00000000052,        2.12945044983,    44295.71712980940 },
    {        0.00000000072,        6.17318529798,    25032.45336464809 },
    {        0.00000000054,        2.05026185233,    17893.62780836560 },
    {        0.00000000051,        2.50572759919,    78903.60671103658 },
    {        0.00000000053,        0.21211371229,     2221.85663459700 },
    {        0.00000000061,        1.22064448269,    26083.97098831109 },
    {        0.00000000064,        2.36532888601,    25953.79409198919 },
    {        0.00000000052,        3.92321101844,   123758.29085447139 },
    {        0.00000000051,        4.74694757019,     5193.36705879780 },
    {        0.00000000051,        2.91556516001,   101011.00013959699 },
    {        0.00000000050,        2.62878188924,    78160.61665050399 },
    {        0.00000000060,        6.20060892122,    76887.93562487679 },
    {        0.00000000066,        3.23190763248,    77726.90491262719 },
    {        0.00000000069,        0.82568775458,    22909.75735100660 },
    {        0.00000000059,        1.52387880104,     6044.22858137540 },
    {        0.00000000051,        1.99922535685,    24448.83362438620 },
    {        0.00000000049,        2.99170950627,    52252.07235442399 },
    {        0.00000000051,        0.76458856785,     2703.61615467560 },
    {        0.00000000049,        3.19808614252,   130652.81480330898 },
    {        0.00000000067,        0.59116991791,    94329.77528619739 },
    {        0.00000000048,        4.05385765670,    51955.39364070959 },
    {        0.00000000054,        1.48701637895,   136722.59155786238 },
    {        0.00000000057,        1.10836716608,    26102.13023557580 },
    {        0.00000000050,        5.32021242336,   103917.90082841998 },
    {        0.00000000056,        1.63440457571,       61.72597474020 },
    {        0.00000000057,        1.08524195162,    27972.80430499159 },
    {        0.00000000051,        4.31886984362,    58857.03113654799 },
    {        0.00000000061,        0.04364409986,   161079.37234650398 },
    {        0.00000000046,        2.24836751862,      425.90877651400 },
    {        0.00000000049,        5.71448553374,    50380.54783942739 },
    {        0.00000000048,        0.40868412712,    27684.08958385880 },
    {        0.00000000064,        5.06730157028,       73.29712585900 },
    {        0.00000000053,        3.29314433670,   207593.84658050019 },
    {        0.00000000052,        4.05836292463,    26010.15259759030 },
    {        0.00000000046,        5.69622642147,   129373.02023068098 },
    {        0.00000000049,        0.77406531565,    50689.82616208319 },
    {        0.00000000047,        4.71730919604,    50903.12525752120 },
    {        0.00000000045,        0.16928967852,    24918.31489016559 },
    {        0.00000000045,        4.07905982522,    52137.67324751059 },
    {        0.00000000055,        1.48552179353,    30171.89164827860 },
    {        0.00000000043,        1.05458495911,    51868.24866217880 },
    {        0.00000000048,        5.33528588129,      846.08283475120 },
    {        0.00000000050,        5.63036834479,    53906.92863608099 },
    {        0.00000000043,        0.58293994614,     1243.48760167840 },
    {        0.00000000045,        2.34759373560,   129387.24732468258 },
    {        0.00000000051,        2.87841847345,    27669.86248985719 },
    {        0.00000000042,        2.78081946255,   196137.07343261078 },
    {        0.00000000044,        3.49994820098,    26575.53789282839 },
    {        0.00000000044,        0.12140582521,   102659.44689679438 },
    {        0.00000000045,        2.04695118037,    27573.19384827740 },
    {        0.00000000041,        0.47941299466,    78338.49102328988 },
    {        0.00000000047,        1.92333552585,    50049.92887576919 },
    {        0.00000000045,        4.77215729269,   143005.66740785379 },
    {        0.00000000054,        1.46122428139,    28102.88481337200 },
    {        0.00000000042,        1.96361292970,    27223.58001346740 },
    {        0.00000000041,        2.30268380021,    26709.64694241340 },
    {        0.00000000041,        1.92747555556,     3308.46589538040 },
    {        0.00000000045,        4.86855086637,    52483.36390411799 },
    {        0.00000000043,        0.50216349819,    80174.90890793978 },
    {        0.00000000039,        0.91312968484,   112231.70171963578 },
    {        0.00000000043,        3.10730855142,    26126.03617721200 },
    {        0.00000000053,        5.56781441388,   123200.84011627098 },
    {        0.00000000040,        0.92168760069,    50910.23880452200 },
    {        0.00000000038,        1.36640441348,    70269.18098269838 },
    {        0.00000000043,        2.46038752343,    65831.66677432480 },
    {        0.00000000040,        5.66552759512,    52174.32181044009 },
    {        0.00000000041,        0.24350307899,      742.99006053260 },
    {        0.00000000037,        5.02758418587,    24203.00197815680 },
    {        0.00000000050,        4.86639882575,    78153.50310350319 },
    {        0.00000000038,        0.49931267586,   103498.41618454478 },
    {        0.00000000038,        5.01896816519,    26402.08932144380 },
    {        0.00000000044,        2.59329487932,     6720.71397934140 },
    {        0.00000000036,        0.09348706711,    26118.23000257860 },
    {        0.00000000039,        5.17129107574,   151199.94274106238 },
    {        0.00000000038,        5.23608148918,   130289.95251073639 },
    {        0.00000000036,        0.02519747828,     2111.65031337760 },
    {        0.00000000036,        1.71850590197,    54374.89362643540 },
    {        0.00000000045,        4.12023391118,    25227.59321282139 },
    {        0.00000000036,        0.13280688272,    27351.06050415239 },
    {        0.00000000035,        4.16108423219,     2686.72209454120 },
    {        0.00000000035,        5.73702300793,    45290.65639321759 },
    {        0.00000000038,        3.17189584793,    78786.28684281638 },
    {        0.00000000049,        4.14640458599,    27170.98337386779 },
    {        0.00000000038,        5.67662667380,   166740.70439565618 },
    {        0.00000000037,        0.76533217080,    16703.06213349900 },
    {        0.00000000035,        5.00372443548,    52509.66222391780 },
    {        0.00000000042,        1.55456747560,   130443.39704322898 },
    {        0.00000000043,        3.12511204668,    91805.13062721379 },
    {        0.00000000034,        4.65510552531,    77947.31755506598 },
    {        0.00000000034,        3.88709177637,    80382.47328510099 },
    {        0.00000000039,        2.12675603585,     3492.57156686960 },
    {        0.00000000036,        2.01530773081,     1162.47470440780 },
    {        0.00000000033,        0.74851795223,    25985.94062330859 },
    {        0.00000000034,        6.26508471441,      202.25339517410 },
    {        0.00000000036,        4.68450442674,   123668.80510662538 },
    {        0.00000000033,        3.05683945691,     2820.83114412620 },
    {        0.00000000039,        2.76389328557,    50270.34151820800 },
    {        0.00000000033,        1.78770441039,    19336.86230122839 },
    {        0.00000000042,        3.12796548551,   130435.63437251298 },
    {        0.00000000035,        4.65699216390,    22003.91463486980 },
    {        0.00000000037,        6.01381885159,    26057.57628056979 },
    {        0.00000000036,        4.94463357606,    29396.36903695460 },
    {        0.00000000041,        5.09084582162,   145204.75475114078 },
    {        0.00000000032,        0.94969843186,    78580.10129437919 },
    {        0.00000000044,        0.02248588790,    25014.29411738339 },
    {        0.00000000031,        6.11767685934,    21716.02677480000 },
    {        0.00000000042,        2.27375823663,    25169.97285559240 },
    {        0.00000000036,        3.78048388974,     8989.46770543239 },
    {        0.00000000031,        3.20777738129,   176332.24614102798 },
    {        0.00000000042,        1.80282357417,   103932.12792242158 },
    {        0.00000000030,        2.35954766344,     2383.19301477620 },
    {        0.00000000034,        5.35878796647,    26189.86565983980 },
    {        0.00000000039,        1.48269177389,     4022.26253196420 },
    {        0.00000000030,        1.47612019208,   233731.74634397859 },
    {        0.00000000035,        0.17499181765,     6129.29703950660 },
    {        0.00000000038,        1.08833775351,    25773.71696170459 },
    {        0.00000000035,        3.98231389633,     1300.82681820500 },
    {        0.00000000030,        4.73794492601,    24072.92146977640 },
    {        0.00000000029,        2.49485056149,   102755.42612401219 },
    {        0.00000000029,        3.33146370824,   235900.50682626115 },
    {        0.00000000030,        0.63651362988,    35077.37084700659 },
    {        0.00000000034,        0.04811451681,    52177.29075585669 },
    {        0.00000000035,        4.36523032466,    81591.84508100279 },
    {        0.00000000035,        0.38273412507,      515.46387109300 },
    {        0.00000000040,        3.08977629569,     8014.19820292400 },
    {        0.00000000040,        0.60182722935,    24388.62392507099 },
    {        0.00000000039,        3.37554049867,    23549.65463732060 },
    {        0.00000000038,        4.59287461574,    26076.85744131030 },
    {        0.00000000029,        4.79176575333,    28736.35796704720 },
    {        0.00000000034,        2.41562403618,    61560.64729122359 },
    {        0.00000000028,        1.26404438296,    27044.19229754480 },
    {        0.00000000031,        3.42953745446,    24402.85101907260 },
    {        0.00000000028,        2.76913598494,    26312.24793727610 },
    {        0.00000000029,        3.06982412427,    76041.85279012559 },
    {        0.00000000034,        3.23742666170,    28791.51929624980 },
    {        0.00000000030,        1.64025002898,   163766.09444104519 },
    {        0.00000000028,        0.87242954200,   128220.75860368418 },
    {        0.00000000028,        5.09736276985,    78213.71280281838 },
    {        0.00000000037,        0.28351092178,    78313.70604662679 },
    {        0.00000000038,        4.09691356449,    35833.22369743080 },
    {        0.00000000031,        0.65724812619,     1535.97674296940 },
    {        0.00000000031,        1.36667591862,    37698.45509994840 },
    {        0.00000000027,        0.27133102944,    50444.68393021580 },
    {        0.00000000029,        3.19360520586,    23762.95373275860 },
    {        0.00000000031,        5.97147065077,   122444.98726584678 },
    {        0.00000000029,        2.90797073636,   130866.11389874699 },
    {        0.00000000031,        4.69284912548,    27250.37784598199 },
    {        0.00000000034,        4.72391913604,    22065.64060961000 },
    {        0.00000000028,        3.80715503127,    24513.05734029200 },
    {        0.00000000032,        4.51091012068,     3776.43088573480 },
    {        0.00000000027,        1.41755601588,    52161.57918914679 },
    {        0.00000000034,        2.44729988472,    23336.35554188260 },
    {        0.00000000031,        6.18521142908,   102769.65321801379 },
    {        0.00000000026,        5.33349284702,   199599.31813847594 },
    {        0.00000000031,        4.33951803932,    52286.01260436779 },
    {        0.00000000026,        2.51322393927,     1353.74874501680 },
    {        0.00000000026,        0.99927277404,     1322.67764753140 },
    {        0.00000000029,        4.43628976720,    25450.90686955000 },
    {        0.00000000027,        2.91198700644,   132028.58860315479 },
    {        0.00000000026,        2.03567536503,    52817.21984488739 },
    {        0.00000000027,        3.39103592839,   104819.57755665119 },
    {        0.00000000025,        1.75972456058,    78683.19406859778 },
    {        0.00000000026,        5.30421942727,    24864.08530079559 },
    {        0.00000000026,        5.36078058708,      412.37109687440 },
    {        0.00000000026,        2.07200432690,    25004.82290928060 },
    {        0.00000000026,        5.53069670975,    25657.37279743509 },
    {        0.00000000031,        4.78180598437,    75930.51303185058 },
    {        0.00000000033,        5.22716597630,    81604.32185142238 },
    {        0.00000000032,        2.69632977953,    25647.07785669659 },
    {        0.00000000025,        3.50647425364,    15406.65260500879 },
    {        0.00000000032,        5.18753945619,     2008.55753915900 },
    {        0.00000000026,        1.17353987461,   153084.84390447979 },
    {        0.00000000034,        2.39619895259,    39763.43339365039 },
    {        0.00000000025,        3.04307664595,    26724.89941359840 },
    {        0.00000000030,        4.90635260381,   116783.65521669458 },
    {        0.00000000025,        1.59985699911,    31281.27020037200 },
    {        0.00000000027,        5.86374680669,     5815.11085963699 },
    {        0.00000000030,        1.12362303179,      625.67019231240 },
    {        0.00000000025,        0.50599655672,   130446.62925487179 },
    {        0.00000000024,        3.36738491746,   133882.09065283637 },
    {        0.00000000025,        1.23585314301,       53.09615231440 },
    {        0.00000000026,        1.21618229660,    49976.71893986139 },
    {        0.00000000023,        4.72011826154,   198489.93958638259 },
    {        0.00000000026,        0.93376725671,   158746.17595363196 },
    {        0.00000000029,        2.71422590007,    25600.26839032000 },
    {        0.00000000023,        1.46742391676,     1272.68102562720 },
    {        0.00000000030,        4.64969871478,    52027.72755872209 },
    {        0.00000000023,        0.95810401383,    28774.62523611540 },
    {        0.00000000032,        3.69056811040,    52024.75861330549 },
    {        0.00000000031,        3.86645564887,    25466.15934073500 },
    {        0.00000000024,        3.15839525203,    77616.69859140778 },
    {        0.00000000026,        3.93909230070,    80596.90581759460 },
    {        0.00000000024,        1.30934055878,   163298.12945069079 },
    {        0.00000000023,        5.77389485042,   240452.46032331997 },
    {        0.00000000022,        1.95823889628,   177287.84588263658 },
    {        0.00000000022,        6.04180912528,    50007.04580086580 },
    {        0.00000000022,        2.96772486295,    12546.48193908300 },
    {        0.00000000022,        3.02308458897,    39450.35284837340 },
    {        0.00000000026,        0.28424456166,     1265.56747862640 },
    {        0.00000000021,        6.03673087116,    27463.67694142000 },
    {        0.00000000021,        1.44442495819,     5687.63036895200 },
    {        0.00000000021,        0.22636621533,    52609.51802102519 },
    {        0.00000000021,        4.08328280632,   104358.24112519680 },
    {        0.00000000021,        3.98455360039,     6191.02301424680 },
    {        0.00000000028,        0.93280167770,    51841.95034237900 },
    {        0.00000000020,        4.59350193239,    52061.40717623499 },
    {        0.00000000021,        5.71487101033,     2840.50090502600 },
    {        0.00000000023,        0.43226688693,    24285.53115085240 },
    {        0.00000000021,        1.98572602434,     7392.45440208480 },
    {        0.00000000024,        0.82344555863,     2698.45144737720 },
    {        0.00000000020,        5.43337501787,     1485.98012106520 },
    {        0.00000000025,        5.01531560459,   101703.15774082378 },
    {        0.00000000020,        3.31281154655,    26248.31051095900 },
    {        0.00000000024,        3.19969282574,    47803.92991637420 },
    {        0.00000000020,        5.21639602111,    76137.83201734339 },
    {        0.00000000020,        5.58624181701,   155887.52156313116 },
    {        0.00000000021,        3.09198846094,    26267.98027185880 },
    {        0.00000000025,        5.43422956232,        2.96894541660 },
    {        0.00000000022,        0.58074025919,    25672.35065096209 },
    {        0.00000000026,        1.34785586419,      309.27832265580 },
    {        0.00000000021,        6.10721760956,    24824.74577899600 },
    {        0.00000000020,        2.62628682595,      164.43591058941 },
    {        0.00000000020,        1.38930287323,      952.07662325960 },
    {        0.00000000019,        3.02128285607,     9123.57675501740 },
    {        0.00000000020,        0.47663702299,   203041.89308344139 },
    {        0.00000000021,        4.32357573082,   183145.01295611399 },
    {        0.00000000022,        1.67611192774,    23113.29318696320 },
    {        0.00000000020,        0.68567124507,       42.88307490340 },
    {        0.00000000027,        1.27457872442,     7860.41939243920 },
    {        0.00000000025,        3.05401652463,    76152.05911134499 },
    {        0.00000000025,        4.23522536960,    24952.22626968100 },
    {        0.00000000021,        3.62099370643,     5635.03372935240 },
    {        0.00000000021,        4.44062433316,    25862.07387316400 },
    {        0.00000000020,        2.13621746848,       26.29831979980 },
    {        0.00000000019,        4.16952441021,    24602.61243487099 },
    {        0.00000000021,        3.90484373725,    51534.39272140940 },
    {        0.00000000026,        2.47222104372,    25665.23710396129 },
    {        0.00000000025,        5.79456184716,    26098.94884183810 },
    {        0.00000000019,        4.95422682882,   209658.82487420217 },
    {        0.00000000021,        2.28837738298,    25865.04281858059 },
    {        0.00000000018,        0.50891176228,    52309.91533273340 },
    {        0.00000000019,        5.79715725254,    26279.35140768579 },
    {        0.00000000025,        4.73465324099,   391318.54712361295 },
    {        0.00000000019,        1.23662681079,    52179.73843641149 },
    {        0.00000000018,        1.52837590084,      107.30530692960 },
    {        0.00000000019,        0.76735048216,    52396.21892558720 },
    {        0.00000000019,        1.55096040730,      148.07872442630 },
    {        0.00000000021,        6.27787013701,    54344.56676543099 },
    {        0.00000000025,        5.13456064718,    12382.04602849360 },
    {        0.00000000022,        4.76661068718,    48847.67062686820 },
    {        0.00000000019,        5.02228884604,    26114.20146137400 },
    {        0.00000000018,        2.45809868831,    50264.60679993120 },
    {        0.00000000022,        3.85509627645,     6885.14988993081 },
    {        0.00000000020,        0.64660197557,    77940.20400806518 },
    {        0.00000000020,        2.79332004367,    25927.49577218939 },
    {        0.00000000018,        5.83348216244,      293.41078437720 },
    {        0.00000000023,        4.64720241213,   112545.88789950538 },
    {        0.00000000018,        0.60198526172,    27566.76971563859 },
    {        0.00000000020,        2.63916620118,     7768.36655669460 },
    {        0.00000000020,        0.71397154242,      959.12285995760 },
    {        0.00000000019,        1.79653943961,       89.48574784600 },
    {        0.00000000021,        1.51443251611,   208173.53416749899 },
    {        0.00000000021,        4.16640140039,     2125.87740737920 },
    {        0.00000000018,        1.11242384108,    87367.61641884019 },
    {        0.00000000020,        5.93006048006,    11852.35506339900 },
    {        0.00000000017,        3.93966914970,    25459.05155552409 },
    {        0.00000000023,        2.99103906198,    23446.56186310200 },
    {        0.00000000018,        0.74408260155,     1795.25844372100 },
    {        0.00000000020,        0.59479884317,       95.97922721780 },
    {        0.00000000021,        1.90510484926,   193937.98608932379 },
    {        0.00000000021,        3.01566725550,    25907.82601128960 },
    {        0.00000000018,        3.09035824301,      838.96928775040 },
    {        0.00000000017,        6.26002814839,   233681.74972207437 },
    {        0.00000000016,        1.73589266057,    52911.68279668019 },
    {        0.00000000017,        4.10264599764,   189386.03259226496 },
    {        0.00000000021,        0.43840312896,    55638.05098901359 },
    {        0.00000000016,        2.13276366606,    16342.58258571760 },
    {        0.00000000019,        5.53134137122,     9591.54174537180 },
    {        0.00000000016,        1.15891409897,   237009.88537835455 },
    {        0.00000000016,        2.62905988628,      191.44826611160 },
    {        0.00000000016,        4.36751801210,   120417.67842777158 },
    {        0.00000000020,        1.12978867673,    25650.25925043430 },
    {        0.00000000016,        4.29882054111,    76255.15188556358 },
    {        0.00000000016,        1.14702353715,    53399.62412392700 },
    {        0.00000000016,        3.57235087963,   103718.82882698359 },
    {        0.00000000017,        5.76960454227,    51130.65144696079 },
    {        0.00000000016,        4.53670173929,     2667.05233364140 },
    {        0.00000000021,        0.46791872189,    19367.18916223280 },
    {        0.00000000018,        5.19929902272,     2544.67263689240 },
    {        0.00000000015,        3.98281479283,   230239.17477710897 },
    {        0.00000000017,        4.87067876483,    45424.76544280259 },
    {        0.00000000015,        0.79205322004,    25928.60140678200 },
    {        0.00000000017,        2.81666385261,   102975.83876645098 },
    {        0.00000000015,        4.52789927390,    25984.12095299360 },
    {        0.00000000020,        5.26775931269,    60370.08161635699 },
    {        0.00000000016,        0.88949240489,   156314.11975400720 },
    {        0.00000000015,        3.38506105616,   129586.31932611899 },
    {        0.00000000019,        5.28475048168,   154408.65498906677 },
    {        0.00000000015,        4.71428343288,     2974.60995461100 },
    {        0.00000000018,        4.01766399485,    51876.67988887919 },
    {        0.00000000015,        0.63968350199,    53093.73656913019 },
    {        0.00000000020,        5.58915267196,     1423.56473196300 },
    {        0.00000000015,        3.27898899275,   117893.03376878797 },
    {        0.00000000016,        0.20415665801,    41494.55574658299 },
    {        0.00000000017,        1.85003466180,   102872.74599223239 },
    {        0.00000000015,        1.38086670918,    77417.62658997139 },
    {        0.00000000016,        2.32863321036,   181659.72224941078 },
    {        0.00000000017,        5.37350443158,    25384.26995695679 },
    {        0.00000000020,        3.62690837800,    48997.66049258080 },
    {        0.00000000015,        3.10421184998,   128747.35003836859 },
    {        0.00000000018,        4.06067303164,    51439.92976961659 },
    {        0.00000000016,        2.42412026249,   128106.31931499895 },
    {        0.00000000017,        1.33866516494,   103395.32341032618 },
    {        0.00000000016,        3.64720066701,    24072.23205541439 },
    {        0.00000000015,        2.96793644807,    24719.24288872919 },
    {        0.00000000014,        2.19807995874,    50951.98844236979 },
    {        0.00000000014,        1.98624084691,   225687.22128005017 },
    {        0.00000000014,        5.35774038541,      896.07945665540 },
    {        0.00000000014,        4.49215712633,    57503.28239153120 },
    {        0.00000000017,        0.94769327499,   104344.98400739678 },
    {        0.00000000014,        2.61818604050,      151.04766984290 },
    {        0.00000000014,        2.15994876258,   104276.83096772949 },
    {        0.00000000019,        4.61702547610,    16028.39640584800 },
    {        0.00000000014,        4.46499375434,   208276.62694171758 },
    {        0.00000000014,        5.03809675504,    53029.00266490040 },
    {        0.00000000014,        3.98620415374,   263097.78851992876 },
    {        0.00000000016,        2.13499283716,    78129.60037513758 },
    {        0.00000000016,        1.96317271676,   183674.70392120857 },
    {        0.00000000014,        0.54684500137,   138319.60486120995 },
    {        0.00000000016,        2.76397470223,    46046.50924364180 },
    {        0.00000000014,        5.52483338141,   130363.24963659538 },
    {        0.00000000013,        0.79709975404,    78225.57638908479 },
    {        0.00000000013,        0.98317849568,   103189.13786188899 },
    {        0.00000000019,        4.91561037107,      277.03499374140 },
    {        0.00000000014,        2.61194442842,     7830.09253143480 },
    {        0.00000000014,        5.00788361103,   144916.86689107097 },
    {        0.00000000014,        0.85520701494,    78043.29678228378 },
    {        0.00000000015,        1.37228117638,    18043.37807764579 },
    {        0.00000000013,        4.33964770436,      117.31986822020 },
    {        0.00000000014,        3.64749226957,    78484.12206716139 },
    {        0.00000000014,        4.75183782414,    78999.58593825439 },
    {        0.00000000017,        5.38779546100,    52041.69723356339 },
    {        0.00000000018,        3.66718937351,   104028.10714963939 },
    {        0.00000000013,        6.00410401507,    28908.73428570040 },
    {        0.00000000017,        2.88265913843,   128857.55635958798 },
    {        0.00000000014,        1.73651187343,     2912.88397987080 },
    {        0.00000000013,        2.10940309095,    77314.53381575279 },
    {        0.00000000013,        4.28715947323,   190809.59732422797 },
    {        0.00000000013,        5.75312146188,   222224.97657418498 },
    {        0.00000000015,        3.12808384217,      173.44857138459 },
    {        0.00000000016,        5.33449282836,    25970.58327335399 },
    {        0.00000000013,        2.93774353095,      533.62311835770 },
    {        0.00000000016,        0.76587038276,      557.45073820040 },
    {        0.00000000018,        2.30655980174,    77520.71936418998 },
    {        0.00000000013,        0.04322502004,    54879.42243782400 },
    {        0.00000000015,        0.93774708323,      461.33643145440 },
    {        0.00000000015,        6.01552400160,    51112.49219969609 },
    {        0.00000000012,        4.96649539823,    50536.73676596039 },
    {        0.00000000013,        5.79333684284,     1685.05212250160 },
    {        0.00000000013,        3.37185657268,    79212.88503369238 },
    {        0.00000000014,        5.75421332040,    72134.41238521598 },
    {        0.00000000017,        0.64086930843,     5131.64108405760 },
    {        0.00000000012,        6.24722203509,    49850.85687433279 },
    {        0.00000000013,        1.38408689559,     4885.80943782820 },
    {        0.00000000012,        6.17819404999,    78413.27262185719 },
    {        0.00000000012,        1.86846407635,   102225.73515891758 },
    {        0.00000000012,        6.15305377435,    35211.47989659159 },
    {        0.00000000012,        0.60231036252,   156520.30530244438 },
    {        0.00000000013,        4.53618198307,    56259.79478985279 },
    {        0.00000000013,        3.44123266792,    27623.87988454360 },
    {        0.00000000012,        5.14707166267,   103402.43695732698 },
    {        0.00000000012,        3.67164611321,    79181.63971070439 },
    {        0.00000000014,        2.94493679739,    51120.35650622229 },
    {        0.00000000014,        4.85835532315,   207114.15223730978 },
    {        0.00000000014,        5.14050840336,      726.48201987020 },
    {        0.00000000012,        2.50220281722,    26183.88236879199 },
    {        0.00000000012,        5.13091142343,   203375.74902421076 },
    {        0.00000000016,        0.78825622002,    53814.87580033639 },
    {        0.00000000015,        0.44405836757,     2751.54759969160 },
    {        0.00000000012,        2.82956991193,    26290.15653674829 },
    {        0.00000000012,        2.84166479969,    25885.64974640009 },
    {        0.00000000013,        3.00745306846,    79315.97780791098 },
    {        0.00000000013,        1.88395137670,    26161.20026743319 },
    {        0.00000000013,        1.01105657732,   156507.74908854539 },
    {        0.00000000013,        1.24212367708,     4437.51420837359 },
    {        0.00000000012,        5.92057732534,   129063.74190802519 },
    {        0.00000000015,        1.46838291003,   103883.64757594238 },
    {        0.00000000012,        5.75930846692,    79330.20490191258 },
    {        0.00000000014,        0.83818630211,   215473.93573383917 },
    {        0.00000000012,        1.60578990904,   171004.77003264520 },
    {        0.00000000012,        2.95802141114,   182828.62108645737 },
    {        0.00000000013,        2.19092122373,    51745.27593900929 },
    {        0.00000000012,        5.23164825285,    26411.40855823160 },
    {        0.00000000012,        4.69895639838,   259819.64948555277 },
    {        0.00000000012,        0.75426704696,    75085.56363415498 },
    {        0.00000000011,        4.28892572000,    78267.64157798568 },
    {        0.00000000014,        2.98871686554,     1073.60902419080 },
    {        0.00000000012,        4.61671703735,    57369.17334194619 },
    {        0.00000000015,        2.90757589820,   187167.27548807819 },
    {        0.00000000011,        5.43931897089,   181548.82651382938 },
    {        0.00000000013,        3.80987567817,    79902.77894191058 },
    {        0.00000000011,        3.97843637033,    76998.14194609619 },
    {        0.00000000012,        4.40009190504,   133767.65136415116 },
    {        0.00000000011,        1.83887545163,    70069.43409151399 },
    {        0.00000000015,        3.94865416467,    27665.24668402200 },
    {        0.00000000013,        5.32692215409,   103608.62250576419 },
    {        0.00000000013,        2.57664086838,     1116.49209909420 },
    {        0.00000000011,        2.08178776420,   181563.05360783098 },
    {        0.00000000011,        6.16260267843,   103704.60173298199 },
    {        0.00000000013,        2.57288307747,    52186.85198341230 },
    {        0.00000000012,        4.53320021239,    30110.16567353840 },
    {        0.00000000011,        0.42392733510,   289185.69166150293 },
    {        0.00000000013,        3.08655281854,    27353.47062020059 },
    {        0.00000000011,        5.31849553869,   128843.32926558638 },
    {        0.00000000015,        1.73060252282,      114.39910691340 },
    {        0.00000000014,        0.92426206484,     1577.34354244780 },
    {        0.00000000011,        5.29480881265,    52797.55008398759 },
    {        0.00000000011,        4.68388844445,    77684.02183772379 },
    {        0.00000000013,        4.84220246179,    79353.41821591619 },
    {        0.00000000013,        0.54230990449,    50600.96048186620 },
    {        0.00000000012,        0.31807521148,    78469.89497315978 },
    {        0.00000000011,        0.00425376917,    90989.16285949759 },
    {        0.00000000014,        2.98013751433,    51102.19725895759 },
    {        0.00000000011,        3.59702354156,     1905.46476494040 },
    {        0.00000000011,        3.26875143851,   143980.93691036216 },
    {        0.00000000015,        4.29683167838,    52171.87412988529 },
    {        0.00000000011,        4.72219805551,    80462.79676800959 },
    {        0.00000000012,        3.49543725775,   241561.83887541335 },
    {        0.00000000011,        1.27219939260,    78843.39701172139 },
    {        0.00000000015,        4.82058460939,    77741.13200662879 },
    {        0.00000000011,        1.83973749004,   154194.22245657316 },
    {        0.00000000011,        2.94887593762,     5039.58824831300 },
    {        0.00000000011,        1.06186939541,   216897.50046580215 },
    {        0.00000000014,        2.07353096792,   130542.60848208958 },
    {        0.00000000011,        1.72854679046,    76624.63990753458 },
    {        0.00000000013,        1.92207364074,     2962.88060177500 },
    {        0.00000000011,        6.13912703925,   154835.25317994278 },
    {        0.00000000011,        2.76325252261,    25572.43927048119 },
    {        0.00000000012,        4.55048857833,    52755.49387014719 },
    {        0.00000000012,        4.51348351634,    54190.78795494619 },
    {        0.00000000011,        2.78880372821,    76094.94894243999 },
    {        0.00000000011,        5.78732279706,    76358.24465978218 },
    {        0.00000000012,        6.17213642404,   104127.26777059489 },
    {        0.00000000011,        1.27458486402,    82347.69793142699 },
    {        0.00000000010,        0.05959891479,   261988.40996783535 },
    {        0.00000000010,        6.12251295566,   156740.71794488319 },
    {        0.00000000011,        1.80239315901,    78800.51393681798 },
    {        0.00000000010,        0.18800956280,   155674.22246769318 },
    {        0.00000000010,        0.25622286707,    52663.44103440259 },
    {        0.00000000014,        3.41659141429,    26603.36701266720 },
    {        0.00000000010,        4.66171161353,   197092.67317421938 },
    {        0.00000000011,        5.43581617959,     4398.17468657401 },
    {        0.00000000015,        5.81769607175,   102239.96225291918 },
    {        0.00000000011,        3.08658188433,    80432.46990700519 },
    {        0.00000000010,        4.59460664618,   104659.17018726638 },
    {        0.00000000012,        0.33304920988,   142871.55835826878 },
    {        0.00000000011,        2.04909853861,    26933.98597632540 },
    {        0.00000000010,        4.99843585518,    42430.48572729180 },
    {        0.00000000012,        5.87342153519,   156954.01704032117 },
    {        0.00000000010,        0.94936373883,   102343.05502713779 },
    {        0.00000000011,        0.51569476586,   210614.42461581077 },
    {        0.00000000014,        4.15042375832,    52190.03337714999 },
    {        0.00000000011,        2.31402246192,   130336.42293365239 },
    {        0.00000000010,        0.77651929350,   104044.05494532720 },
    {        0.00000000011,        3.45756625090,    50373.43429242659 },
    {        0.00000000012,        5.44549783030,    56777.75640211140 },
    {        0.00000000012,        2.53814691384,   248312.87971575916 },
    {        0.00000000011,        5.81248587528,    51688.17153189420 },
    {        0.00000000010,        5.02934387609,       63.73589830340 },
    {        0.00000000011,        1.48790524324,    58220.03486452380 },
    {        0.00000000013,        1.73084719204,    55484.27217852879 },
    {        0.00000000010,        3.07696158333,   259769.65286364855 },
    {        0.00000000014,        0.80260135302,    77527.83291119078 },
    {        0.00000000010,        5.92438780788,   102129.75593169978 },
    {        0.00000000014,        0.09133406732,      138.51749687070 },
    {        0.00000000012,        1.46736907113,    76991.02839909539 },
    {        0.00000000011,        3.69737943157,    60170.33472517260 },
    {        0.00000000011,        0.91716465178,   103829.03514820298 },
    {        0.00000000012,        2.48001423636,    76468.45098100159 },
    {        0.00000000012,        3.63244499225,    50476.52706664519 },
    {        0.00000000012,        0.15820265323,    49637.55777889479 },
    {        0.00000000013,        2.21304135803,      287.88786006980 },
    {        0.00000000011,        3.04909618741,   156547.08861034497 },
    {        0.00000000013,        5.42354700318,    51753.14024553549 },
    {        0.00000000014,        2.17544501087,     2506.64496425660 },
    {        0.00000000010,        2.03757692776,    78885.45322556178 },
    {        0.00000000012,        6.18435893480,   103814.80805420138 },
    {        0.00000000010,        5.01102689994,    53311.48315504160 },
    {        0.00000000011,        2.67328823906,    26734.91397488900 },
    {        0.00000000013,        2.15288344965,    82865.65954368559 },
    {        0.00000000011,        2.26046112925,    74801.46471885739 },
    {        0.00000000012,        0.91311461577,    53258.88651544199 },
    {        0.00000000010,        5.07907315221,   156093.70711156839 },
    {        0.00000000012,        6.05275501244,   105403.88094948517 },
    {        0.00000000011,        5.19596855548,   104454.70534051539 },
    {        0.00000000011,        5.87059533653,   158116.49174472899 },
    {        0.00000000011,        0.38514839596,    53124.98189211819 },
    {        0.00000000010,        1.59386679469,    51596.11869614960 },
    {        0.00000000010,        4.41461079699,   257436.45647077652 },
    {        0.00000000014,        1.74381856487,       36.64856292950 },
    {        0.00000000010,        1.24965183253,    80278.69109652039 },
    {        0.00000000010,        0.61741652170,   149846.19399604559 },
    {        0.00000000012,        2.86918517100,     2045.30853280220 },
    {        0.00000000010,        5.38944159655,       77.75054398390 },
    {        0.00000000010,        3.80043163945,   104313.47953065898 },
    {        0.00000000014,        6.10459624713,      454.90936652730 },
    {        0.00000000011,        1.99827759086,     1088.60315660100 },
    {        0.00000000011,        2.62058705881,   153186.80642274540 },
    {        0.00000000010,        2.41417743630,   155460.92337225520 },
    {        0.00000000010,        4.48839233108,   180282.12559814737 },
    {        0.00000000010,        1.76037317626,    52489.99246301800 },
    {        0.00000000013,        4.11972652561,    54060.70744656579 },
    {        0.00000000010,        3.55061763662,    78397.81847430758 },
    {        0.00000000012,        3.81883856360,    76777.72930365738 },
    {        0.00000000010,        4.45423293249,     5469.88378304060 },
    {        0.00000000010,        0.26898429031,     5019.91848741320 },
    {        0.00000000010,        2.26378618368,   179172.74704605396 },
    {        0.00000000010,        3.66756317752,   175934.09713761977 },
    {        0.00000000011,        4.42724223352,   103505.52973154558 },
    {        0.00000000009,        5.26539502261,   130285.73689738619 },
    {        0.00000000010,        3.94785662225,    54862.52837768960 },
    {        0.00000000012,        1.55587525404,    74935.57376844240 },
    {        0.00000000009,        0.36164076660,     1045.15483618760 },
    {        0.00000000009,        6.21588367959,    54397.66291774539 },
    {        0.00000000013,        2.54150715208,    23735.03698780239 },
    {        0.00000000009,        5.54583366059,    53867.97195265079 },
    {        0.00000000010,        5.50923146669,   130593.29451835579 },
    {        0.00000000010,        1.41367771097,    48091.81777644400 },
    {        0.00000000009,        0.13225241168,    52918.79634368100 },
    {        0.00000000009,        1.67266340956,   231348.55332920235 },
    {        0.00000000010,        1.53965688146,   156107.93420556997 },
    {        0.00000000011,        3.53206613269,    51760.25379253629 },
    {        0.00000000009,        3.84605705988,   154308.66174525840 },
    {        0.00000000009,        3.21918850161,    51006.21803173979 },
    {        0.00000000011,        0.73383746517,    17605.73994829580 },
    {        0.00000000009,        3.11807738536,    52206.13314415280 },
    {        0.00000000009,        1.44205716141,   106550.69990958378 },
    {        0.00000000011,        0.98740615700,    78259.77727145949 },
    {        0.00000000009,        5.35123385110,   155475.15046625677 },
    {        0.00000000009,        5.13834653276,   205260.65018762814 },
    {        0.00000000009,        1.24238636220,   234364.53008329176 },
    {        0.00000000009,        2.36679030684,   181975.42470470539 },
    {        0.00000000011,        3.44695207326,   189853.99758261937 },
    {        0.00000000009,        3.49327430300,   156534.53239644598 },
    {        0.00000000011,        3.71214400776,    27883.16158529519 },
    {        0.00000000009,        1.31408788661,   223180.57631579356 },
    {        0.00000000010,        3.84128789715,   104131.19992385797 },
    {        0.00000000011,        4.08487611085,    78378.14871340781 },
    {        0.00000000009,        4.42707219551,     6751.04084034580 },
    {        0.00000000011,        0.77879332032,    80148.61058813999 },
    {        0.00000000009,        0.86214296870,    50690.51557644519 },
    {        0.00000000010,        5.91391218935,     2538.24850425360 },
    {        0.00000000010,        5.18315351919,     1382.19793248460 },
    {        0.00000000010,        3.50888471315,    45455.09230380700 },
    {        0.00000000009,        2.96380369810,    25991.92391435639 },
    {        0.00000000009,        0.12768153485,    27993.36790651460 },
    {        0.00000000011,        0.86259686023,    78277.93651872419 },
    {        0.00000000010,        1.97201206656,    52499.31169980579 },
    {        0.00000000009,        3.32039369507,    61165.27398858079 },
    {        0.00000000009,        1.76555912471,   235746.72801577637 },
    {        0.00000000011,        0.24999283383,   117077.06600107178 },
    {        0.00000000011,        2.52816309211,    79845.66877300559 },
    {        0.00000000011,        1.61182880702,   104241.40624507738 },
    {        0.00000000009,        0.74096037377,   153878.96402397219 },
    {        0.00000000012,        5.83966176266,    11790.62908865880 },
    {        0.00000000010,        0.18030878839,    71542.99544538118 },
    {        0.00000000011,        4.45519879833,   162810.49469943656 },
    {        0.00000000009,        2.18403728707,    71378.55953479178 },
    {        0.00000000012,        5.23790242966,    29580.47470844380 },
    {        0.00000000010,        6.01456569334,   213255.17862965239 },
    {        0.00000000011,        3.67835925409,    22595.33157470459 },
    {        0.00000000009,        0.49720666294,   104984.39630560997 },
    {        0.00000000011,        5.30179052357,    51257.87599716660 },
    {        0.00000000009,        3.34551904925,    40738.70289615879 },
    {        0.00000000010,        0.84359833351,    61921.12683900499 },
    {        0.00000000010,        0.88211385824,    51315.49635439559 },
    {        0.00000000010,        2.29548861266,     1211.34107035900 },
    {        0.00000000008,        3.27342696125,    78751.34417597679 },
    {        0.00000000009,        2.92305082370,   182611.44065566137 },
    {        0.00000000010,        0.17758007636,    50490.75416064679 },
    {        0.00000000008,        5.04021823877,    78905.12298646157 },
    {        0.00000000010,        4.16632261841,     1130.15394758580 },
    {        0.00000000010,        1.35239689601,    48153.54375118419 },
    {        0.00000000009,        2.28938084617,    79994.83177765519 },
    {        0.00000000008,        4.78894704907,    78577.89560459220 },
    {        0.00000000009,        1.74700345208,   417406.45026518719 },
    {        0.00000000008,        2.07572920434,   130005.80396999417 },
    {        0.00000000008,        3.77310827048,    52073.84376488279 },
    {        0.00000000008,        1.95594241501,   156377.85565231059 },
    {        0.00000000011,        4.91839370629,   128960.64913380658 },
    {        0.00000000008,        3.31138265156,    28309.75977617119 },
    {        0.00000000011,        5.32356537706,    49424.25868345679 },
    {        0.00000000008,        2.26325075185,      299.12639426920 },
    {        0.00000000008,        5.50980958231,    48713.56157728320 },
    {        0.00000000011,        6.05884458684,    78057.52387628538 },
    {        0.00000000008,        0.74893403497,   103086.04508767038 },
    {        0.00000000010,        5.24386890264,      860.30992875280 },
    {        0.00000000009,        3.53361712213,     1169.58825140860 },
    {        0.00000000009,        5.69975856885,    27441.65188659100 },
    {        0.00000000008,        0.40730399000,     5852.78031526380 },
    {        0.00000000008,        4.15882544767,    79487.52726550119 },
    {        0.00000000009,        2.19047368741,   174620.79354899516 },
    {        0.00000000008,        5.10790930441,   278972.40611529193 },
    {        0.00000000009,        1.39060893451,    78149.27013603736 },
    {        0.00000000010,        1.44918586530,   285907.55262712698 },
    {        0.00000000011,        0.82192814161,    52098.05573916449 },
    {        0.00000000008,        5.87534994551,   127098.90328117118 },
    {        0.00000000008,        3.51413526661,   104426.39416486409 },
    {        0.00000000009,        5.16378342721,   130364.73410930368 },
    {        0.00000000010,        5.09176211486,    53661.09698985160 },
    {        0.00000000010,        4.71864870979,     1865.23140251760 },
    {        0.00000000010,        3.44260638200,    81725.95413058778 },
    {        0.00000000008,        2.89381740957,   247223.17092456558 },
    {        0.00000000008,        1.50495995792,    50160.82461135059 },
    {        0.00000000008,        5.93652948222,    31127.49138988719 },
    {        0.00000000011,        1.88655043160,    53265.51507434200 },
    {        0.00000000008,        5.51368993901,   104248.51979207818 },
    {        0.00000000008,        2.26525606520,    79955.87509422498 },
    {        0.00000000009,        1.58093065123,   224577.84272795677 },
    {        0.00000000008,        3.29049117119,   104557.79811473397 },
    {        0.00000000008,        3.98360451030,   182402.02289558138 },
    {        0.00000000011,        2.68727695708,    31903.01400121119 },
    {        0.00000000009,        5.43307011162,    65851.33653522459 },
    {        0.00000000011,        0.51898586475,   129806.73196855778 },
    {        0.00000000008,        4.45045824026,   175844.61138977378 },
    {        0.00000000009,        1.36295509329,    78115.63070029629 },
    {        0.00000000009,        5.08922937782,    62197.64356324779 },
    {        0.00000000009,        1.19274985025,   106262.81204951399 },
    {        0.00000000010,        3.84482406254,      199.07200143640 },
    {        0.00000000008,        4.31142679779,    76064.62208143558 },
    {        0.00000000008,        3.35473584304,    99979.73619952260 },
    {        0.00000000010,        5.93947627346,   154945.45950116220 },
    {        0.00000000009,        2.84548380902,   195047.36464141717 },
    {        0.00000000010,        3.05711078565,    12098.18670962840 },
    {        0.00000000011,        6.21650368713,    52213.93931878620 },
    {        0.00000000008,        0.37369030169,    31722.93687092660 },
    {        0.00000000008,        6.14665125818,    78294.03628572699 },
    {        0.00000000008,        2.45482949143,    78262.22495201428 },
    {        0.00000000008,        0.05965725544,   182634.99175191918 },
    {        0.00000000008,        2.39708295298,    24551.92639860479 },
    {        0.00000000010,        2.67934627998,   104145.42701785959 },
    {        0.00000000008,        4.55751882694,    31775.53351052620 },
    {        0.00000000008,        3.16773434441,    53438.96364572659 },
    {        0.00000000008,        6.22544072035,   202420.14928260216 },
    {        0.00000000008,        5.81704618147,    51734.98099827079 },
    {        0.00000000008,        1.78435325528,     4743.40176317040 },
    {        0.00000000009,        3.83707765982,    79346.78965701618 },
    {        0.00000000010,        5.71688904375,    97466.46267636596 },
    {        0.00000000008,        2.03894332579,    77345.77913874079 },
    {        0.00000000008,        4.13054556768,   111032.83741969639 },
    {        0.00000000008,        4.60922012110,   130329.30938665158 },
    {        0.00000000008,        5.35165926588,   106082.73491922939 },
    {        0.00000000008,        5.39530906170,     1168.89883704660 },
    {        0.00000000009,        3.93805662188,    77929.85348395319 },
    {        0.00000000007,        5.21488891735,    43981.53094993980 },
    {        0.00000000008,        2.01003440428,   252884.50297371778 },
    {        0.00000000010,        4.11323982627,    51861.62010327879 },
    {        0.00000000008,        5.44182392744,    24844.41553989579 },
    {        0.00000000009,        1.74545022265,    25778.62481891839 },
    {        0.00000000007,        3.82338680251,   220025.88923089797 },
    {        0.00000000007,        6.24768089702,   104874.18998439058 },
    {        0.00000000009,        2.34086101872,   192828.60753723036 },
    {        0.00000000009,        0.48166296597,     4571.62325795859 },
    {        0.00000000010,        3.98285678625,    26014.60601571519 },
    {        0.00000000008,        1.39482440025,   169093.57054942797 },
    {        0.00000000008,        2.14139660009,   154931.23240716057 },
    {        0.00000000007,        4.40965228112,    78249.48233072099 },
    {        0.00000000009,        2.75553561717,    52145.47942214399 },
    {        0.00000000007,        2.57942012432,     3178.14579056760 },
    {        0.00000000008,        1.43006670657,    52164.76058288449 },
    {        0.00000000007,        2.62316145982,   127791.06088239799 },
    {        0.00000000008,        4.14250630085,    26713.57333388659 },
    {        0.00000000007,        1.85653633566,    24765.22549404280 },
    {        0.00000000008,        3.34882273958,       92.05283574460 },
    {        0.00000000007,        4.79266143108,    76378.80826130520 },
    {        0.00000000007,        3.97155618165,    77956.15180375299 },
    {        0.00000000007,        1.40803692928,    78149.31031780918 },
    {        0.00000000007,        0.70961929454,   212031.36078887375 },
    {        0.00000000007,        3.85508188374,    27410.58078910560 },
    {        0.00000000007,        2.26884263391,   118007.47305747319 },
    {        0.00000000007,        5.09321484473,    51092.72605085480 },
    {        0.00000000007,        6.12403557988,    65538.25598994759 },
    {        0.00000000007,        4.39083508021,   129483.22655190038 },
    {        0.00000000008,        5.83553684097,   102182.85208401419 },
    {        0.00000000007,        4.33543927503,    74179.72091801820 },
    {        0.00000000008,        4.79819281031,   130020.03106399579 },
    {        0.00000000008,        0.41203822272,    78112.66175487968 },
    {        0.00000000007,        2.68129663526,   104427.87863757239 },
    {        0.00000000009,        0.29724852145,     2352.86615377180 },
    {        0.00000000007,        5.93637605025,    21067.98465416099 },
    {        0.00000000007,        5.92819269793,   221135.26778299137 },
    {        0.00000000007,        1.93364234480,    26500.27423844859 },
    {        0.00000000007,        1.41532885394,   104035.22069664019 },
    {        0.00000000009,        5.67763971529,    33856.26969826880 },
    {        0.00000000009,        5.98755838226,    18073.70493865020 },
    {        0.00000000009,        2.10050473205,    52277.76880141400 },
    {        0.00000000009,        2.08883097836,   149288.74325784517 },
    {        0.00000000007,        2.37722377692,    30689.85326053720 },
    {        0.00000000007,        3.10792403028,   288076.31310940959 },
    {        0.00000000007,        4.88415129602,   104888.41707839219 },
    {        0.00000000009,        3.27631582216,   118828.96374949679 },
    {        0.00000000007,        1.38768372670,    29864.33402730900 },
    {        0.00000000007,        5.72644167523,    52822.81711646319 },
    {        0.00000000007,        2.76782011856,    53551.58008299420 },
    {        0.00000000007,        1.51124075560,    78571.26704569219 },
    {        0.00000000007,        2.26442292058,   131079.41299418497 },
    {        0.00000000007,        5.31640546842,    26247.20487636640 },
    {        0.00000000007,        0.09686245345,    79859.89586700719 },
    {        0.00000000007,        6.10844494934,    52812.80255517260 },
    {        0.00000000007,        1.87174516455,    96471.52341295779 },
    {        0.00000000007,        2.87375591411,    80967.32557939820 },
    {        0.00000000007,        1.29457274547,   113736.45357437199 },
    {        0.00000000007,        0.89009344126,    28213.78054895339 },
    {        0.00000000007,        4.25473641206,    26140.99929388859 },
    {        0.00000000008,        4.82798273493,   197380.56103428919 },
    {        0.00000000007,        3.09825871823,    78265.19389743089 },
    {        0.00000000008,        4.34888971439,   235320.81923926238 },
    {        0.00000000006,        5.42495897529,   104350.12809358849 },
    {        0.00000000006,        3.99182956098,   104668.00443595338 },
    {        0.00000000007,        5.34185785375,   175376.64639941938 },
    {        0.00000000008,        0.86389617056,   104466.05185498200 },
    {        0.00000000007,        1.33899601862,   149756.70824819960 },
    {        0.00000000008,        3.10920439449,   228508.05242417639 },
    {        0.00000000007,        4.30741955939,   158438.61833266239 },
    {        0.00000000006,        5.17419549153,   104991.50985261079 },
    {        0.00000000007,        2.20450442762,   156373.64003896038 },
    {        0.00000000006,        2.90224060475,   129792.50487455618 },
    {        0.00000000006,        4.54232458825,    26235.98186600050 },
    {        0.00000000007,        4.42850204913,    27039.97976483379 },
    {        0.00000000009,        1.73966926518,   171292.65789271498 },
    {        0.00000000006,        0.11815278939,   159969.99379441058 },
    {        0.00000000006,        4.04317848847,   129277.04100346318 },
    {        0.00000000009,        6.01200767870,   168959.46149984296 },
    {        0.00000000007,        1.85751313511,    28096.46068073319 },
    {        0.00000000007,        2.12438011211,    84307.93800609799 },
    {        0.00000000006,        2.48582215527,   156681.19765992998 },
    {        0.00000000007,        3.73735796662,   182608.20844401856 },
    {        0.00000000006,        2.28958252031,   156451.15277816958 },
    {        0.00000000008,        3.69992350848,   132772.71210074300 },
    {        0.00000000007,        1.41866016352,   130859.00035174617 },
    {        0.00000000006,        2.21936307079,   180496.55813064100 },
    {        0.00000000009,        3.06339763309,   104401.60918820098 },
    {        0.00000000008,        1.18565300113,   209232.91609768817 },
    {        0.00000000007,        3.94128798915,    25675.53204469980 },
    {        0.00000000008,        3.78904655885,   229129.79622501557 },
    {        0.00000000006,        5.00477784596,   182465.75879388480 },
    {        0.00000000007,        5.14936294952,    33480.35754365900 },
    {        0.00000000008,        4.60188784024,   234261.43730907317 },
    {        0.00000000008,        4.47296414448,   104237.17327761157 },
    {        0.00000000007,        0.75480073977,    84944.93427812219 },
    {        0.00000000006,        4.68210231273,   261834.63115735055 },
    {        0.00000000007,        1.33270050713,   182619.20332637738 },
    {        0.00000000007,        5.60721965283,   148532.89040742096 },
    {        0.00000000008,        5.13602967530,   209762.60706278277 },
    {        0.00000000006,        0.03219084009,    25896.45487546260 },
    {        0.00000000008,        3.93608578931,   156534.04740834518 },
    {        0.00000000008,        4.22645360520,   182595.65223011957 },
    {        0.00000000007,        6.06363932610,   156523.53751408719 },
    {        0.00000000007,        4.74656613678,   104685.46850706618 },
    {        0.00000000008,        1.89526023726,    25462.23294926180 },
    {        0.00000000006,        1.48316940910,    26191.68533015479 },
    {        0.00000000008,        4.07650178940,    13705.85711308060 },
    {        0.00000000007,        1.81299543472,    78597.56536549199 },
    {        0.00000000006,        6.09713561414,   104353.09703900508 },
    {        0.00000000006,        5.60796663267,   207747.62539098499 },
    {        0.00000000006,        2.16536179089,    27573.88326263939 },
    {        0.00000000006,        1.42098831764,    26026.17716683400 },
    {        0.00000000006,        1.69671918811,    20043.67456019880 },
    {        0.00000000006,        5.11260117805,   443494.35340676131 },
    {        0.00000000006,        5.22497762448,   107679.74822257696 },
    {        0.00000000006,        1.74905384462,    50290.90511973100 },
    {        0.00000000006,        0.30422543700,   182622.43553802016 },
    {        0.00000000008,        4.49860671318,   195181.47369100217 },
    {        0.00000000007,        3.45347996125,      430.53034413910 },
    {        0.00000000006,        0.74258274172,   256327.07791868312 },
    {        0.00000000008,        2.76506053583,   183041.92018189540 },
    {        0.00000000006,        2.89935798569,   239343.08177122660 },
    {        0.00000000006,        4.96619008761,    70383.62027138360 },
    {        0.00000000007,        1.84903088230,    28632.57577846660 },
    {        0.00000000006,        0.68234531723,   104017.75662552739 },
    {        0.00000000006,        3.11962389893,   184834.07909520617 },
    {        0.00000000006,        3.60993416994,   131072.29944718417 },
    {        0.00000000006,        0.03251101986,   102620.49021336419 },
    {        0.00000000006,        5.50368260841,    26238.95081141709 },
    {        0.00000000007,        1.97599718563,   107692.22499299659 },
    {        0.00000000006,        5.77774149400,    78339.97549599818 },
    {        0.00000000008,        1.97853905449,    88285.54670482199 },
    {        0.00000000006,        2.44688578354,    28928.40404660019 },
    {        0.00000000007,        1.78303012604,    26034.80698925980 },
    {        0.00000000006,        0.43137293270,    27388.72995977919 },
    {        0.00000000006,        4.76836779722,   104771.09721017198 },
    {        0.00000000006,        3.63313984470,    77641.96562388339 },
    {        0.00000000007,        5.22121198783,    91919.56991589899 },
    {        0.00000000007,        4.48679862542,   156531.30018480320 },
    {        0.00000000007,        2.61368067822,   266540.36346489412 },
    {        0.00000000007,        0.12862048714,   130907.48069822539 },
    {        0.00000000006,        0.43577629069,   106470.37642667518 },
    {        0.00000000006,        3.82921450071,    27047.02600153180 },
    {        0.00000000006,        0.70928978057,    26061.60482177439 },
    {        0.00000000005,        1.08303549554,    22779.43724619380 },
    {        0.00000000006,        0.25448993981,   146505.58156934578 },
    {        0.00000000007,        4.06478627606,   104461.81888751619 },
    {        0.00000000006,        5.60793166576,   131506.01118506098 },
    {        0.00000000008,        1.69064312952,    38469.94917006779 },
    {        0.00000000008,        2.44994557596,   164407.50800278416 },
    {        0.00000000007,        3.54872847011,   155894.63511013199 },
    {        0.00000000005,        1.10994023578,    52072.02409456780 },
    {        0.00000000006,        3.73225568492,    26084.93419615759 },
    {        0.00000000005,        5.58167272835,   101173.46677572919 },
    {        0.00000000005,        0.70846557489,   208489.92603715559 },
    {        0.00000000006,        4.59921393870,    20894.53608277640 },
    {        0.00000000005,        3.75647355566,   242985.40360737636 },
    {        0.00000000005,        6.27502785749,   104785.32430417358 },
    {        0.00000000006,        2.00142473286,     1699.27921650320 },
    {        0.00000000007,        2.76050255944,   184204.39488630317 },
    {        0.00000000005,        5.47987179385,    26252.33905216361 },
    {        0.00000000007,        2.00462922304,    26090.87208699080 },
    {        0.00000000007,        1.62322254368,    18227.48374913500 },
    {        0.00000000006,        5.70254081987,    33917.99567300899 },
    {        0.00000000006,        5.97919634831,    77208.25964779648 },
    {        0.00000000006,        2.16791372283,    26045.02006667080 },
    {        0.00000000007,        2.57095095237,    77218.55458853499 },
    {        0.00000000005,        0.25701311411,    25923.46723098479 },
    {        0.00000000007,        4.14777314934,    33948.32253401340 },
    {        0.00000000005,        5.29140115995,    28471.09615635040 },
    {        0.00000000006,        3.53925621297,    26130.78621647760 },
    {        0.00000000005,        6.11594062706,    52355.88341343300 },
    {        0.00000000006,        5.57961940155,    76352.50994150539 },
    {        0.00000000006,        0.83576004159,   130446.14426677099 },
    {        0.00000000005,        0.43431985985,    23704.71012679799 },
    {        0.00000000007,        2.28014965021,    35679.44488694599 },
    {        0.00000000006,        5.37355955737,    17098.43543614181 },
    {        0.00000000005,        5.97244139790,   123554.36581794015 },
    {        0.00000000006,        3.95779909916,   130432.88714897096 },
    {        0.00000000005,        4.47086994601,    27360.58416720139 },
    {        0.00000000006,        3.02938887393,    26830.89320210680 },
    {        0.00000000005,        2.94688436969,   129902.71119577558 },
    {        0.00000000005,        2.93317711504,   130215.17091216908 },
    {        0.00000000006,        3.75147408015,    42790.96527507320 },
    {        0.00000000006,        1.00428918941,    51040.12941125520 },
    {        0.00000000005,        2.78041305143,   143164.96914264598 },
    {        0.00000000005,        1.86000796030,   469582.25654833548 },
    {        0.00000000006,        0.74710746073,   132350.71519108818 },
    {        0.00000000005,        2.39844344347,    23389.45169419700 },
    {        0.00000000006,        3.58468768151,    23247.40223654820 },
    {        0.00000000006,        0.82589150780,    77964.58303045339 },
    {        0.00000000006,        4.53833067121,   101023.47691001659 },
    {        0.00000000005,        0.57407761078,    24734.15439655740 },
    {        0.00000000005,        2.25316144259,      415.55249061210 },
    {        0.00000000006,        4.70935000739,    65717.22748563958 },
    {        0.00000000005,        0.05510253171,    52336.21365253320 },
    {        0.00000000005,        5.35670099063,    26513.81191808820 },
    {        0.00000000006,        2.32062527661,    23384.28698689860 },
    {        0.00000000005,        1.32520906706,    25980.59783464459 },
    {        0.00000000005,        0.80991017339,    25661.99436506020 },
    {        0.00000000006,        6.08272643182,   130589.07890500558 },
    {        0.00000000005,        4.38196086874,    26195.20844850380 },
    {        0.00000000005,        0.41357636643,    87253.17713015496 },
    {        0.00000000005,        1.29167077496,   164721.69418265377 },
    {        0.00000000005,        0.71179831125,   180396.56488683258 },
    {        0.00000000006,        1.47416646071,   233202.05537888399 },
    {        0.00000000005,        6.23460200611,    34102.10134449819 },
    {        0.00000000005,        5.35033090355,    26397.18146422999 },
    {        0.00000000005,        4.93083299042,    23401.18104703300 },
    {        0.00000000005,        2.81440459099,    91626.15913152178 },
    {        0.00000000005,        3.34946974145,    76532.58707178998 },
    {        0.00000000006,        2.87843300002,    50912.64892057020 },
    {        0.00000000005,        0.98613060394,   208683.55537169380 },
    {        0.00000000006,        0.63843906657,   255217.69936658978 },
    {        0.00000000006,        3.68754775281,    53654.67285721279 },
    {        0.00000000005,        1.77640278232,    79116.90580647459 },
    {        0.00000000006,        1.22686507612,    51538.81001112419 },
    {        0.00000000006,        0.36168067626,      422.66603761290 },
    {        0.00000000005,        4.10167099677,   249268.47945736776 },
    {        0.00000000005,        2.94751779171,   130962.09312596478 },
    {        0.00000000006,        2.79032706562,   131491.78409105938 },
    {        0.00000000006,        5.45598380433,   218916.51067880457 },
    {        0.00000000005,        5.72733360293,     2324.94940881560 },
    {        0.00000000005,        1.55205182092,   305060.30925686617 },
    {        0.00000000006,        1.11542763194,    78373.91574594198 },
    {        0.00000000005,        0.22456206035,   130514.29730643828 },
    {        0.00000000005,        6.19195128172,      440.82528487760 },
    {        0.00000000006,        4.68979746907,    26149.62911631439 },
    {        0.00000000005,        0.04773374920,   130489.51232977519 },
    {        0.00000000005,        4.35334090897,   260452.43322486596 },
    {        0.00000000004,        1.80325861170,   104301.61594439259 },
    {        0.00000000004,        5.90731736703,    38634.38508065720 },
    {        0.00000000005,        5.85937874289,    41520.85406638280 },
    {        0.00000000004,        5.81033465121,    52378.05967832249 },
    {        0.00000000005,        2.38959621917,    77776.07467346839 },
    {        0.00000000005,        0.89819672775,    52102.50915728939 },
    {        0.00000000004,        1.04050915609,   283524.35961235070 },
    {        0.00000000004,        5.74543005216,    79639.48322456839 },
    {        0.00000000005,        3.24374045161,    53771.99272543299 },
    {        0.00000000006,        5.37158640221,    49822.94012937659 },
    {        0.00000000004,        0.06769738532,     4371.87636677420 },
    {        0.00000000006,        1.18638011360,   188898.39784101077 },
    {        0.00000000005,        6.05867525779,    77190.10040053178 },
    {        0.00000000004,        5.01707452403,   169252.87228422018 },
    {        0.00000000004,        4.30493132325,   206370.02873972157 },
    {        0.00000000004,        2.06448884635,   201464.54954099358 },
    {        0.00000000004,        5.27718401223,    20452.86941222180 },
    {        0.00000000005,        0.64823272639,   106684.80895916879 },
    {        0.00000000004,        1.34518506056,    20400.27277262220 },
    {        0.00000000005,        3.64294402199,    27331.39074325260 },
    {        0.00000000005,        1.10711421942,    79219.99858069318 },
    {        0.00000000004,        5.70143283690,   267649.74201698753 },
    {        0.00000000004,        5.61867141715,    32808.61712091560 },
    {        0.00000000004,        3.40787680501,    74771.13785785298 },
    {        0.00000000004,        4.89347322243,    52249.10340900739 },
    {        0.00000000004,        4.50626285230,    80912.16425019559 },
    {        0.00000000004,        5.79752206360,   273311.07406613970 },
    {        0.00000000004,        3.59370702464,    46564.47085590040 },
    {        0.00000000006,        3.80547114091,    28786.35458895140 },
    {        0.00000000004,        3.61797134303,   132558.27956824939 },
    {        0.00000000004,        5.02120058481,   133780.12813457078 },
    {        0.00000000004,        0.69875295873,    77622.29586298359 },
    {        0.00000000004,        5.47230241775,    50639.82954017899 },
    {        0.00000000005,        5.60595541866,   200708.69669056937 },
    {        0.00000000004,        4.57945769995,    46131.57770177300 },
    {        0.00000000004,        2.90774078461,    61299.38303816579 },
    {        0.00000000005,        5.95351319448,    93696.66034953119 },
    {        0.00000000005,        6.04114354784,    51995.72915286380 },
    {        0.00000000004,        5.11154568183,   251775.12442162435 },
    {        0.00000000004,        4.37488020826,   130123.12383821438 },
    {        0.00000000005,        0.61091062956,   102865.63244523159 },
    {        0.00000000004,        2.83395761015,   128217.65907327399 },
    {        0.00000000005,        6.05511428388,    49534.46500467620 },
    {        0.00000000004,        0.70993360491,    51554.06248230919 },
    {        0.00000000005,        2.16220422308,    54221.11481595060 },
    {        0.00000000005,        6.25732449440,    18319.53658487960 },
    {        0.00000000004,        6.03004085628,    54287.45659652599 },
    {        0.00000000004,        5.94971817133,    16964.32638655680 },
    {        0.00000000004,        3.56233707368,    20272.79228193720 },
    {        0.00000000004,        1.59742075675,    79399.38629661579 },
    {        0.00000000004,        2.94685386221,    28199.55345495179 },
    {        0.00000000005,        1.93137641145,    83591.18553310538 },
    {        0.00000000004,        0.66487328583,   130755.90757752759 },
    {        0.00000000004,        3.15266411510,   170068.84005193636 },
    {        0.00000000004,        2.50489173450,   102446.14780135639 },
    {        0.00000000005,        4.20320779124,   113455.51956041438 },
    {        0.00000000005,        5.87958723384,    53757.76563143139 },
    {        0.00000000005,        1.86517289834,    24510.55959912640 },
    {        0.00000000004,        1.47938914186,    54824.26110862140 },
    {        0.00000000004,        0.34491990622,    78161.74690645699 },
    {        0.00000000004,        4.91765582326,    54184.36382230739 },
    {        0.00000000004,        1.66609260552,    25135.82651831460 },
    {        0.00000000005,        2.71496730071,    77200.39534127028 },
    {        0.00000000004,        5.13273546829,    26387.02953584340 },
    {        0.00000000004,        4.81872093221,    56573.98096972240 },
    {        0.00000000004,        5.08493147041,     1574.84580128220 },
    {        0.00000000004,        5.61971860281,    52400.15107885030 },
    {        0.00000000004,        1.10830702595,    51949.97701473820 },
    {        0.00000000004,        2.49860728014,   105418.10804348679 },
    {        0.00000000005,        4.53061477023,   259289.95852045811 },
    {        0.00000000004,        1.43177381452,    51086.09749195479 },
    {        0.00000000004,        1.78993265235,    34570.06633485260 },
    {        0.00000000004,        2.89498773739,     4601.95011896300 },
    {        0.00000000004,        3.81752951238,    52016.50454835620 },
    {        0.00000000004,        3.00793368756,    92914.50917930716 },
    {        0.00000000004,        3.19503794912,    67582.45888815718 },
    {        0.00000000004,        2.20034975861,    78167.73019750479 },
    {        0.00000000004,        0.67177464579,    53753.14982559620 },
    {        0.00000000005,        2.94612400422,     1055.44977692610 },
    {        0.00000000004,        5.01204521255,    77020.22182304418 },
    {        0.00000000004,        5.37296944146,   208063.32784627957 },
    {        0.00000000005,        5.81879633601,    52015.39891376359 },
    {        0.00000000004,        2.52609846916,    52367.25454925999 },
    {        0.00000000004,        0.65214215474,   185943.45764729957 },
    {        0.00000000004,        3.13387849279,   186057.89693598478 },
    {        0.00000000004,        2.21635240969,   215941.90072419358 },
    {        0.00000000004,        5.48439088692,   182769.10080150416 },
    {        0.00000000004,        1.64336565163,   246113.79237247215 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L1_MERCURY[] =
  {
    {    26087.90313685529,        0.00000000000,        0.00000000000 },
    {        0.01131199811,        6.21874197797,    26087.90314157420 },
    {        0.00292242298,        3.04449355541,    52175.80628314840 },
    {        0.00075775081,        6.08568821653,    78263.70942472259 },
    {        0.00019676525,        2.80965111777,   104351.61256629678 },
    {        0.00005119883,        5.79432353574,   130439.51570787099 },
    {        0.00001336324,        2.47909947012,   156527.41884944518 },
    {        0.00000352230,        3.05246348628,     1109.37855209340 },
    {        0.00000350236,        5.43397743985,   182615.32199101939 },
    {        0.00000093444,        6.11761855456,    27197.28169366760 },
    {        0.00000090588,        0.00053733031,    24978.52458948080 },
    {        0.00000092259,        2.09530377053,   208703.22513259359 },
    {        0.00000051943,        5.62157845897,     5661.33204915220 },
    {        0.00000044343,        4.57417248957,    25028.52121138500 },
    {        0.00000027651,        3.03660330131,    51066.42773105500 },
    {        0.00000021994,        0.86475182160,      955.59974160860 },
    {        0.00000020378,        3.71392682666,    20426.57109242200 },
    {        0.00000020226,        0.52020649631,    21535.94964451540 },
    {        0.00000024445,        5.03171884876,   234791.12827416777 },
    {        0.00000017507,        5.72782246025,     4551.95349705880 },
    {        0.00000016673,        1.34980149127,      529.69096509460 },
    {        0.00000015305,        1.79227510901,    11322.66409830440 },
    {        0.00000015398,        5.74259119660,       19.66976089979 },
    {        0.00000013960,        3.59440619771,    24498.83024629040 },
    {        0.00000013163,        2.71002769534,    53285.18483524180 },
    {        0.00000012621,        3.89533871193,        3.88133535800 },
    {        0.00000012503,        4.70133552340,     1059.38193018920 },
    {        0.00000007967,        4.17175470880,    26617.59410666880 },
    {        0.00000008012,        3.92669813128,    27043.50288318280 },
    {        0.00000007703,        0.49609224180,    46514.47423399620 },
    {        0.00000007496,        2.47774652170,    57837.13833230060 },
    {        0.00000008388,        6.05157476676,    77154.33087262919 },
    {        0.00000006840,        2.77393722430,        7.11354700080 },
    {        0.00000006554,        5.53499608280,     6770.71060124560 },
    {        0.00000005846,        4.28173811514,    16983.99614745660 },
    {        0.00000007178,        2.97769079034,     2218.75710418680 },
    {        0.00000006358,        2.13820928214,    25132.30339996560 },
    {        0.00000005879,        2.19602452599,    13521.75144159140 },
    {        0.00000005065,        2.48292263185,    30639.85663863300 },
    {        0.00000006517,        1.67892400042,   260879.03141574195 },
    {        0.00000004850,        4.84628981357,    37410.56723987860 },
    {        0.00000005019,        3.94203732877,    25661.30495069820 },
    {        0.00000004392,        1.54280887262,    27147.28507176339 },
    {        0.00000004382,        4.94443288387,      213.29909543800 },
    {        0.00000004017,        5.52771226937,    83925.04147387479 },
    {        0.00000004299,        5.08757395593,    10213.28554621100 },
    {        0.00000004588,        0.82044096381,    25558.21217647960 },
    {        0.00000003569,        2.34319180460,    32858.61374281979 },
    {        0.00000003549,        3.59449539427,    26068.23338067440 },
    {        0.00000004456,        5.79195846107,     3442.57494496540 },
    {        0.00000003418,        0.49892587318,    22645.32819660879 },
    {        0.00000003473,        1.39724118346,    77204.32749453338 },
    {        0.00000003186,        1.25564690041,    14765.23904326980 },
    {        0.00000003029,        4.45211520724,     7238.67559160000 },
    {        0.00000002980,        0.13991629145,    50586.73338786459 },
    {        0.00000003284,        5.23011989016,    25448.00585526019 },
    {        0.00000002857,        0.67101346147,    26091.78447693220 },
    {        0.00000003133,        6.21363252783,    26080.78959457339 },
    {        0.00000002724,        5.64058806769,     1589.07289528380 },
    {        0.00000002628,        0.87590020075,    52705.49724824299 },
    {        0.00000002641,        3.52814897103,    72602.37737557039 },
    {        0.00000003124,        6.07149300722,    28306.66024576099 },
    {        0.00000002797,        2.51124084505,    26107.57290247399 },
    {        0.00000002403,        1.15501613908,    25035.63475838580 },
    {        0.00000002503,        4.35025740225,    41962.52073693740 },
    {        0.00000002241,        1.84953945797,    36301.18868778519 },
    {        0.00000002320,        5.44243110370,    26084.02180621620 },
    {        0.00000002534,        5.80058447871,    26095.01668857500 },
    {        0.00000002871,        1.63509831596,    25021.40766438420 },
    {        0.00000002063,        1.07103665169,    43071.89928903080 },
    {        0.00000001986,        2.95920226047,    23969.13928119580 },
    {        0.00000002508,        2.76403654972,   103242.23401420339 },
    {        0.00000001961,        0.83450558631,    12566.15169998280 },
    {        0.00000001846,        4.42974192764,   103292.23063610759 },
    {        0.00000001651,        1.25437456685,    33326.57873317420 },
    {        0.00000001786,        1.81010822680,    26301.20223701220 },
    {        0.00000001594,        2.26867962790,   110012.94461544899 },
    {        0.00000001579,        4.61224012719,    53235.18821333759 },
    {        0.00000001779,        5.17437777314,      426.59819087600 },
    {        0.00000001601,        5.53140059013,    56727.75978020720 },
    {        0.00000002099,        5.15770653744,    51220.20654153979 },
    {        0.00000001590,        0.07655136418,    23869.14603738740 },
    {        0.00000001748,        4.60419259590,   286966.93455731618 },
    {        0.00000001593,        4.86694690893,    79373.08797681599 },
    {        0.00000001525,        3.75842012487,    73711.75592766379 },
    {        0.00000001358,        1.44570665984,    51646.11531805379 },
    {        0.00000001324,        1.13417813347,    68050.42387851159 },
    {        0.00000001345,        3.80182679561,    19317.19254032860 },
    {        0.00000001242,        3.79390052115,    25874.60404613620 },
    {        0.00000001132,        1.24723676020,    31749.23519072640 },
    {        0.00000001259,        1.73164966232,    12432.04265039780 },
    {        0.00000001035,        4.30505315648,    40853.14218484400 },
    {        0.00000001010,        3.57886637986,    48733.23133818299 },
    {        0.00000000981,        0.32956536507,    52156.13652224860 },
    {        0.00000001031,        3.72181647641,     6283.07584999140 },
    {        0.00000001015,        4.34316985494,    77734.01845962799 },
    {        0.00000001143,        2.56497190480,    29530.47808653960 },
    {        0.00000000976,        5.29476493474,    65697.55772473979 },
    {        0.00000000849,        4.90682657214,    62389.09182935939 },
    {        0.00000000861,        0.48881788219,    99799.65906923798 },
    {        0.00000000872,        4.78830513218,    18849.22754997420 },
    {        0.00000000849,        3.87015948421,    78793.40038981718 },
    {        0.00000000855,        0.25155177774,    98690.28051714458 },
    {        0.00000000809,        2.35162494261,    27676.97603685800 },
    {        0.00000000756,        3.91466184753,    38654.05484155699 },
    {        0.00000000777,        3.69099415988,    52179.68761850640 },
    {        0.00000000741,        0.37372573509,   105460.99111839019 },
    {        0.00000000744,        2.09528358878,    51535.90899683439 },
    {        0.00000000736,        6.05485667197,      114.43928868521 },
    {        0.00000000729,        1.15635861097,   129380.13377768178 },
    {        0.00000000699,        3.14468277514,    47623.85278608960 },
    {        0.00000000698,        2.99353080731,    52168.69273614759 },
    {        0.00000000828,        0.03967891327,    53131.40602475700 },
    {        0.00000000751,        4.22622963362,    51123.53789995999 },
    {        0.00000000752,        4.70040857872,    51109.31080595839 },
    {        0.00000000651,        5.87353892190,     2333.19639287200 },
    {        0.00000000698,        4.82796933102,    38519.94579197200 },
    {        0.00000000656,        3.65489167792,    25668.41849769900 },
    {        0.00000000740,        5.74343325106,   129330.13715577759 },
    {        0.00000000640,        1.96265162206,    26514.50133245020 },
    {        0.00000000753,        5.64825867964,    45892.73043315699 },
    {        0.00000000610,        1.21211116825,      153.77881048480 },
    {        0.00000000811,        4.22901744472,    25654.19140369739 },
    {        0.00000000584,        2.65166793147,    76674.63652943878 },
    {        0.00000000671,        1.88069825702,    77308.10968311399 },
    {        0.00000000559,        5.26845568234,   136100.84775702318 },
    {        0.00000000567,        6.08799470543,    25234.70675982219 },
    {        0.00000000523,        4.17422789646,    94138.32702008578 },
    {        0.00000000527,        5.83366532230,    50057.04242277000 },
    {        0.00000000523,        2.45663231877,      467.96499035440 },
    {        0.00000000526,        2.06863255789,    91785.46086631398 },
    {        0.00000000697,        2.57166718581,    52182.91983014920 },
    {        0.00000000523,        1.35829138439,    79323.09135491178 },
    {        0.00000000554,        3.10829478558,    15874.61759536320 },
    {        0.00000000546,        2.77273663291,    54394.56338733519 },
    {        0.00000000491,        0.38994513676,    32370.97899156560 },
    {        0.00000000505,        2.27352111828,    82815.66292178139 },
    {        0.00000000586,        5.45833122512,    52195.47604404819 },
    {        0.00000000616,        4.18181890063,      639.89728631400 },
    {        0.00000000501,        2.12293246629,    52171.92494779040 },
    {        0.00000000444,        3.09631644931,    49957.04917896160 },
    {        0.00000000427,        5.35376808888,       49.99662190420 },
    {        0.00000000470,        1.23850164176,   313054.83769889036 },
    {        0.00000000469,        1.46518006720,     1066.49547719000 },
    {        0.00000000400,        5.24589064914,    58946.51688439399 },
    {        0.00000000521,        4.92377177140,    52389.10537858640 },
    {        0.00000000404,        2.49441656744,    71980.63357473118 },
    {        0.00000000442,        1.05846681262,   103821.92160120218 },
    {        0.00000000509,        1.03889091502,    24491.71669928959 },
    {        0.00000000421,        0.36954299695,    51962.50718771040 },
    {        0.00000000386,        0.92423685606,    77837.11123384659 },
    {        0.00000000363,        3.08451517102,   131548.89425996438 },
    {        0.00000000400,        3.51672858608,    20760.42703319140 },
    {        0.00000000358,        0.02964909169,     2118.76386037840 },
    {        0.00000000356,        2.03742854569,     1052.26838318840 },
    {        0.00000000352,        3.49165605975,   125887.56221081219 },
    {        0.00000000423,        4.21490947326,    18093.37469954999 },
    {        0.00000000336,        1.55219177388,    24505.94379329119 },
    {        0.00000000328,        5.45155251381,     7880.08915333899 },
    {        0.00000000333,        1.04986280945,    66941.04532641819 },
    {        0.00000000305,        1.70579427712,    79219.30916633119 },
    {        0.00000000294,        0.89719097618,    63498.47038145279 },
    {        0.00000000289,        1.66524837037,    88476.99497093359 },
    {        0.00000000321,        5.58902496814,    55618.38122811380 },
    {        0.00000000381,        2.16600770844,      522.57741809380 },
    {        0.00000000389,        0.54659889883,    45405.09568190280 },
    {        0.00000000305,        1.52082857349,    44937.13069154840 },
    {        0.00000000275,        3.32813520041,    78244.03966382280 },
    {        0.00000000266,        0.68060995712,    64741.95798313119 },
    {        0.00000000288,        4.98360015732,    25551.09862947879 },
    {        0.00000000260,        5.34007178889,    53764.87917843220 },
    {        0.00000000255,        4.14975855255,   155468.03691925600 },
    {        0.00000000264,        0.57786571512,   104881.30353139139 },
    {        0.00000000266,        3.23724695644,   124778.18365871879 },
    {        0.00000000265,        1.04240124690,    25938.33994443960 },
    {        0.00000000242,        0.44807424920,    23754.70674870219 },
    {        0.00000000222,        0.45066526427,    51116.42435295920 },
    {        0.00000000218,        5.05361806009,    52602.40447402440 },
    {        0.00000000211,        5.09174612431,   117873.36400788819 },
    {        0.00000000282,        3.81278076218,      536.80451209540 },
    {        0.00000000207,        3.49711450533,    58458.88213313979 },
    {        0.00000000200,        5.41587372095,    16066.06586147480 },
    {        0.00000000202,        2.38190671463,    23439.44831610119 },
    {        0.00000000214,        0.40710565979,    78267.59076008058 },
    {        0.00000000215,        2.42593080866,   155418.04029735178 },
    {        0.00000000196,        3.91420687435,   103925.01437542078 },
    {        0.00000000201,        2.73171980030,    59414.48187474840 },
    {        0.00000000207,        4.87003667439,   103396.01282468818 },
    {        0.00000000188,        3.84383993794,    69159.80243060499 },
    {        0.00000000184,        0.90817110368,   120226.23016165999 },
    {        0.00000000215,        5.35772672442,      206.18554843720 },
    {        0.00000000178,        1.25170210270,      103.09277421860 },
    {        0.00000000186,        1.97860871529,   162188.75089859738 },
    {        0.00000000183,        2.87999350716,     3328.13565628019 },
    {        0.00000000195,        0.44655194207,    51756.32163927320 },
    {        0.00000000217,        4.48208092219,    26241.68195205900 },
    {        0.00000000215,        2.26829365379,    33967.99229491319 },
    {        0.00000000200,        1.01165670813,    51742.09454527159 },
    {        0.00000000179,        1.42332722447,    77197.21394753258 },
    {        0.00000000223,        0.97930066855,    77211.44104153418 },
    {        0.00000000193,        5.59216636360,    78270.82297172339 },
    {        0.00000000162,        5.55703825820,    98068.53671630539 },
    {        0.00000000161,        5.51813734364,    26555.86813192860 },
    {        0.00000000197,        4.80011640279,    25455.11940226100 },
    {        0.00000000173,        4.35603175355,   105307.21230790539 },
    {        0.00000000158,        2.63936949472,    28421.09953444620 },
    {        0.00000000163,        2.82189871585,    26202.34243025941 },
    {        0.00000000154,        2.25328873364,    89586.37352302698 },
    {        0.00000000155,        5.21123811238,    77623.81213840858 },
    {        0.00000000195,        1.02146810928,    44181.27784112419 },
    {        0.00000000187,        4.98586575384,   102762.53967101299 },
    {        0.00000000179,        5.11429722880,    25440.89230825939 },
    {        0.00000000152,        5.99106319634,    78256.59587772179 },
    {        0.00000000164,        4.36120554838,   105410.99449648599 },
    {        0.00000000184,        0.26387432742,      419.48464387520 },
    {        0.00000000144,        2.90699736539,    51322.60990139639 },
    {        0.00000000143,        5.95657669344,   157636.79740153858 },
    {        0.00000000149,        5.77248289868,    80482.46652890938 },
    {        0.00000000160,        1.00653088516,    26727.80042788820 },
    {        0.00000000160,        1.39442186441,    26011.63707029860 },
    {        0.00000000139,        0.27101064668,    46848.33017476560 },
    {        0.00000000133,        3.26795404064,    25973.46385288896 },
    {        0.00000000141,        3.31881997762,    78050.41032928458 },
    {        0.00000000131,        0.69874834090,     3340.61242669980 },
    {        0.00000000152,        1.72125145972,    78477.00852016058 },
    {        0.00000000154,        5.27681182377,   108903.56606335558 },
    {        0.00000000126,        0.20427766386,   151975.46535238638 },
    {        0.00000000165,        4.06407630596,   129909.82474277639 },
    {        0.00000000147,        4.06027405748,    50579.61984086379 },
    {        0.00000000125,        6.09822754682,    76044.95232053580 },
    {        0.00000000163,        6.16787830179,    19406.67828817460 },
    {        0.00000000138,        5.11907374655,      433.71173787680 },
    {        0.00000000128,        4.15814269417,   339142.74084046460 },
    {        0.00000000133,        5.23408461673,    26610.48055966799 },
    {        0.00000000153,        1.29821059795,    13655.86049117640 },
    {        0.00000000114,        4.61849532926,    50593.84693486539 },
    {        0.00000000122,        2.53164787291,    76144.94556434419 },
    {        0.00000000113,        4.51202339397,    27154.39861876420 },
    {        0.00000000102,        3.96711417536,    26037.90651966999 },
    {        0.00000000110,        3.45975317150,    25565.32572348040 },
    {        0.00000000101,        0.11486997352,    74821.13447975718 },
    {        0.00000000100,        1.88687551078,    85034.42002596818 },
    {        0.00000000099,        5.98979152528,    29416.03879785439 },
    {        0.00000000132,        5.44331228630,    51749.20809227239 },
    {        0.00000000097,        3.01165560161,    28206.66700195260 },
    {        0.00000000096,        5.22162983089,    85502.38501632259 },
    {        0.00000000132,        5.94907535629,     1223.81784077861 },
    {        0.00000000113,        3.55407420407,    71492.99882347698 },
    {        0.00000000123,        2.05111107086,    78283.37918562238 },
    {        0.00000000090,        5.94701228084,    25131.61398560359 },
    {        0.00000000109,        5.03445354966,    78259.82808936459 },
    {        0.00000000093,        2.31189694942,    81706.28436968799 },
    {        0.00000000095,        4.68010019254,   114564.89811250778 },
    {        0.00000000103,        4.05747443320,    93028.94846799239 },
    {        0.00000000097,        2.65105244357,     9103.90699411760 },
    {        0.00000000087,        0.84408485633,   181555.94006083018 },
    {        0.00000000088,        3.70188799404,    90829.86112470538 },
    {        0.00000000098,        0.52096836281,    26624.70765366959 },
    {        0.00000000083,        2.12974304987,    42153.96900304900 },
    {        0.00000000098,        3.31309863421,      853.19638175200 },
    {        0.00000000081,        1.81824819424,   143961.26714946239 },
    {        0.00000000084,        5.18245305336,      220.41264243880 },
    {        0.00000000101,        4.52477254053,    71025.03383312259 },
    {        0.00000000077,        0.62552658856,   130012.91751699499 },
    {        0.00000000076,        1.62946702195,    25984.81036735560 },
    {        0.00000000076,        5.02442522075,   115674.27666460119 },
    {        0.00000000080,        1.97972400646,      149.56319713460 },
    {        0.00000000080,        2.03736548887,    79852.78232000639 },
    {        0.00000000103,        4.71419562154,    12725.45343477500 },
    {        0.00000000075,        0.26953948526,    84546.78527471398 },
    {        0.00000000079,        0.04694250450,   104331.94280539699 },
    {        0.00000000075,        5.08156452710,    27140.17152476259 },
    {        0.00000000076,        0.97242106203,   131395.11544947958 },
    {        0.00000000083,        2.04932157543,     1596.18644228460 },
    {        0.00000000071,        5.07452765154,     1911.19948321720 },
    {        0.00000000078,        2.06201411500,    26137.89976347840 },
    {        0.00000000075,        5.47582690516,      134.10904958500 },
    {        0.00000000070,        3.68283702967,    24609.03656750980 },
    {        0.00000000070,        1.81758262361,    78690.30761559859 },
    {        0.00000000082,        3.56719394593,   130969.20667296558 },
    {        0.00000000069,        1.56209488244,    19804.82729158280 },
    {        0.00000000081,        6.21759166284,   150866.08680029298 },
    {        0.00000000079,        1.36891218086,    52329.58509363319 },
    {        0.00000000063,        1.65140982876,    13541.42120249119 },
    {        0.00000000068,        4.75308792133,    25881.71759313700 },
    {        0.00000000061,        3.48595464034,    24925.42843716640 },
    {        0.00000000063,        1.57827554991,   129483.91596626239 },
    {        0.00000000078,        3.56226703365,    49842.60989027639 },
    {        0.00000000062,        5.39835646220,   181505.94343892598 },
    {        0.00000000061,        3.91406670110,   146314.13330323418 },
    {        0.00000000059,        2.97195438319,      110.20632121940 },
    {        0.00000000068,        2.32821809900,    26294.08869001139 },
    {        0.00000000058,        3.88873694244,    18207.81398823521 },
    {        0.00000000058,        3.71053330388,    29428.51556827400 },
    {        0.00000000075,        1.41437208584,   128850.44281258718 },
    {        0.00000000078,        6.14359232239,    14477.35118320000 },
    {        0.00000000056,        2.29859296005,   124156.43985787958 },
    {        0.00000000066,        1.69753750078,    51543.02254383520 },
    {        0.00000000056,        5.26803267928,    49527.35145767539 },
    {        0.00000000054,        2.60951368247,   183724.70054311279 },
    {        0.00000000069,        1.78610678374,    51639.00177105299 },
    {        0.00000000054,        2.29388731799,    52643.77127350280 },
    {        0.00000000066,        4.00966591652,   103299.34418310839 },
    {        0.00000000056,        4.96631677002,   188276.65404017159 },
    {        0.00000000065,        4.49060152064,      636.99627202420 },
    {        0.00000000060,        3.40809070256,   104355.49390165479 },
    {        0.00000000053,        2.32227902289,   104358.72611329758 },
    {        0.00000000050,        2.13377899787,     7994.52844202420 },
    {        0.00000000055,        2.95916513077,    40565.25432477420 },
    {        0.00000000062,        0.58557454545,      307.55762096960 },
    {        0.00000000047,        1.21556523304,    23976.25282819660 },
    {        0.00000000060,        3.69214546142,      641.41356173899 },
    {        0.00000000046,        4.41061598045,   103285.11708910679 },
    {        0.00000000047,        4.02740344259,    77829.99768684579 },
    {        0.00000000046,        4.06742204523,    52815.70356946240 },
    {        0.00000000046,        1.91809870879,    51528.79544983359 },
    {        0.00000000061,        1.28766566948,    38813.35657634920 },
    {        0.00000000045,        0.02404887996,   104138.31347085879 },
    {        0.00000000046,        3.38507597830,    26507.38778544939 },
    {        0.00000000056,        2.67487495081,    25934.12433108940 },
    {        0.00000000043,        2.29690412567,    25764.39772491679 },
    {        0.00000000053,        3.48804345716,    77844.22478084739 },
    {        0.00000000053,        2.82902106909,     6681.22485339960 },
    {        0.00000000043,        6.22587772111,    26094.53170047421 },
    {        0.00000000045,        1.62188507140,       76.26607127560 },
    {        0.00000000042,        3.85973680463,    10021.83728009940 },
    {        0.00000000044,        4.79295047779,   104564.91166173479 },
    {        0.00000000054,        0.75825267175,   155997.72788435058 },
    {        0.00000000043,        3.21677125258,   178063.36849396059 },
    {        0.00000000043,        4.90471393771,    24395.73747207180 },
    {        0.00000000040,        4.13303476978,    26190.99591579279 },
    {        0.00000000051,        0.49016223108,    23962.02573419499 },
    {        0.00000000049,        1.06876913146,   131498.89763806018 },
    {        0.00000000040,        1.47589588843,    76681.75007643958 },
    {        0.00000000041,        0.46266264380,    25619.93815121980 },
    {        0.00000000042,        5.68209077980,    54509.00267602040 },
    {        0.00000000040,        0.39115190758,     1089.70879119360 },
    {        0.00000000039,        2.75514812039,    25867.49049913539 },
    {        0.00000000052,        3.69276520556,    39609.65458316560 },
    {        0.00000000038,        4.64939276647,    90695.75207512039 },
    {        0.00000000048,        1.65661010519,     1581.95934828300 },
    {        0.00000000038,        0.95035569681,    76667.52298243798 },
    {        0.00000000037,        3.99657674443,     9384.84100807520 },
    {        0.00000000038,        1.84533474277,    27999.10262479140 },
    {        0.00000000042,        5.85699892180,    52290.24557183361 },
    {        0.00000000036,        2.82272277217,   102132.85546210999 },
    {        0.00000000039,        0.16689114463,    22759.76748529401 },
    {        0.00000000041,        1.21766150084,    64607.84893354619 },
    {        0.00000000037,        1.88934655832,    26521.61487945100 },
    {        0.00000000036,        4.75190829106,    39629.32434406539 },
    {        0.00000000034,        1.73557945245,   111590.28815789679 },
    {        0.00000000047,        2.00316977982,   134991.46920492980 },
    {        0.00000000040,        3.07506618678,    26081.27458267419 },
    {        0.00000000032,        5.94771139984,    77410.51304297059 },
    {        0.00000000031,        2.67093301110,   104344.49901929598 },
    {        0.00000000034,        0.29046758495,    97580.90196505119 },
    {        0.00000000038,        5.08542116385,    25863.55834587229 },
    {        0.00000000037,        4.28144356206,    39743.76363275060 },
    {        0.00000000030,        0.64719060865,     2648.45482547300 },
    {        0.00000000032,        3.88808183601,   157483.01859105378 },
    {        0.00000000033,        5.37394711310,   102232.84870591838 },
    {        0.00000000033,        1.96187028937,       74.78159856730 },
    {        0.00000000033,        0.73726931669,   365230.64398203877 },
    {        0.00000000030,        2.98247268132,   100909.03762133139 },
    {        0.00000000031,        0.01609173971,    52061.36699446317 },
    {        0.00000000030,        1.22842683538,    53242.30176033840 },
    {        0.00000000029,        5.72086729674,      579.68758699880 },
    {        0.00000000029,        0.73428938505,    52125.80966124419 },
    {        0.00000000037,        1.60845101133,      333.85594076940 },
    {        0.00000000028,        0.41550063520,    35472.74414964940 },
    {        0.00000000028,        0.53073222303,    50696.93970908399 },
    {        0.00000000028,        6.11780804536,    25977.69682035479 },
    {        0.00000000028,        5.95593416963,    54294.57014352679 },
    {        0.00000000027,        2.00186979186,    52698.38370124219 },
    {        0.00000000026,        5.31661191916,   107794.18751126219 },
    {        0.00000000026,        1.60908008816,   141762.17980617538 },
    {        0.00000000026,        5.92563636648,    35191.81013569180 },
    {        0.00000000026,        5.05695617382,    26237.46633870879 },
    {        0.00000000030,        1.96093367442,    26308.31578401300 },
    {        0.00000000029,        1.40377849854,   140652.80125408198 },
    {        0.00000000026,        4.47118604310,    78417.48823520739 },
    {        0.00000000030,        4.35157546455,   154938.34595416137 },
    {        0.00000000024,        0.08450572691,    51013.33157874059 },
    {        0.00000000025,        3.61161212347,   156100.82065856917 },
    {        0.00000000026,        6.02329577077,    25227.59321282139 },
    {        0.00000000032,        0.29338720910,    51653.22886505459 },
    {        0.00000000031,        1.27169874011,    97112.93697469679 },
    {        0.00000000027,        0.43436351538,   116917.76426627958 },
    {        0.00000000025,        3.56464874860,    52712.61079524379 },
    {        0.00000000025,        4.83140440999,   170049.17029103660 },
    {        0.00000000024,        4.15688353859,    19202.75325164339 },
    {        0.00000000025,        5.22158703638,    25241.82030682300 },
    {        0.00000000026,        2.09788180403,   103711.71527998279 },
    {        0.00000000026,        2.73620097953,    27311.72098235281 },
    {        0.00000000025,        3.31719041454,   110634.68841628819 },
    {        0.00000000023,        3.42018225470,      956.28915597060 },
    {        0.00000000024,        4.58737053626,      632.78373931320 },
    {        0.00000000025,        3.83768999695,   207643.84320240439 },
    {        0.00000000022,        4.60495557405,    52072.71350892979 },
    {        0.00000000022,        0.81962371662,      314.18617986960 },
    {        0.00000000031,        0.78529600723,   119116.85160956658 },
    {        0.00000000028,        5.28999472918,    26162.68474014150 },
    {        0.00000000029,        2.32148522569,    26720.68688088739 },
    {        0.00000000022,        2.40798298166,     8194.27533320860 },
    {        0.00000000026,        5.94441879648,    95247.70557217918 },
    {        0.00000000024,        5.01838309036,   105940.68546158058 },
    {        0.00000000020,        2.47683833264,     2703.61615467560 },
    {        0.00000000020,        2.55917238627,    51219.51712717779 },
    {        0.00000000027,        4.25138184607,      647.01083331480 },
    {        0.00000000020,        3.02046049418,    52182.43484204840 },
    {        0.00000000021,        4.84549558153,   104778.21075717278 },
    {        0.00000000019,        3.68979639516,      735.87651353180 },
    {        0.00000000025,        5.57998927338,    34282.17847478280 },
    {        0.00000000021,        1.10992644362,   121335.60871375339 },
    {        0.00000000019,        3.83331533037,     5327.47610838280 },
    {        0.00000000022,        3.00327681149,   130419.84594697120 },
    {        0.00000000020,        3.23786060546,     1083.08023229360 },
    {        0.00000000019,        2.02512845515,    22747.29071487440 },
    {        0.00000000023,        1.66833589775,   104347.73123093879 },
    {        0.00000000025,        3.72802716994,      621.74380083920 },
    {        0.00000000018,        1.62490267654,    48835.19385644859 },
    {        0.00000000024,        4.88511578720,   104371.28232719658 },
    {        0.00000000023,        3.20407513183,     6044.22858137540 },
    {        0.00000000018,        2.74020165764,    55503.94193942859 },
    {        0.00000000020,        2.16894744006,   106570.36967048359 },
    {        0.00000000017,        4.26021716269,    24176.70365835700 },
    {        0.00000000023,        2.89452389903,   176953.98994186718 },
    {        0.00000000020,        4.62650989512,    13362.44970679920 },
    {        0.00000000022,        0.13700318671,    26941.09952332620 },
    {        0.00000000017,        4.53180927338,   155571.81910783658 },
    {        0.00000000017,        5.27323351022,   150244.34299945380 },
    {        0.00000000020,        0.88920884923,    52022.02747266360 },
    {        0.00000000017,        0.66438061926,    44295.71712980940 },
    {        0.00000000018,        4.22801345450,    78114.14622758799 },
    {        0.00000000018,        6.10669263205,    26198.10946279360 },
    {        0.00000000019,        5.88397827824,    32132.13172294960 },
    {        0.00000000022,        0.27997322515,   157057.10981453978 },
    {        0.00000000018,        5.25487083597,    68241.87214462319 },
    {        0.00000000017,        5.12957293922,    27684.08958385880 },
    {        0.00000000021,        2.44454107206,    24822.33566294780 },
    {        0.00000000016,        4.30778552752,    50064.15596977079 },
    {        0.00000000016,        4.85996294185,    77630.92568540938 },
    {        0.00000000016,        2.24217976098,    26222.01219115920 },
    {        0.00000000019,        1.94778680051,      487.63475125420 },
    {        0.00000000017,        0.51733791920,    55516.41870984820 },
    {        0.00000000019,        2.59562362231,    71582.48457132299 },
    {        0.00000000016,        4.18243271644,   147423.51185532758 },
    {        0.00000000015,        0.42980730987,      101.96251826560 },
    {        0.00000000016,        2.16628656707,    86143.79857806159 },
    {        0.00000000020,        6.16417051409,    52169.17772424839 },
    {        0.00000000016,        0.59073234751,   172402.03644480839 },
    {        0.00000000016,        1.72028680267,    53228.07466633679 },
    {        0.00000000015,        1.01843035425,    25138.72753260440 },
    {        0.00000000017,        1.63141160811,   214364.55718174577 },
    {        0.00000000015,        3.75399093257,      159.30173479220 },
    {        0.00000000015,        1.95481617109,   207593.84658050019 },
    {        0.00000000016,        4.96142627268,    52225.80290505260 },
    {        0.00000000014,        0.95351554243,    96357.08412427259 },
    {        0.00000000015,        5.76671377675,       14.22709400160 },
    {        0.00000000014,        5.57769049264,   209812.60368468694 },
    {        0.00000000014,        0.61729981227,   183570.92173262799 },
    {        0.00000000017,        5.07627546033,    60055.89543648739 },
    {        0.00000000016,        2.54178935302,    25780.34552060460 },
    {        0.00000000014,        4.28355124764,     1692.16566950240 },
    {        0.00000000015,        5.01473605278,    28791.51929624980 },
    {        0.00000000013,        0.98344727754,    45290.65639321759 },
    {        0.00000000013,        4.76112297900,    26164.16921284980 },
    {        0.00000000017,        1.58612856328,    51969.62073471119 },
    {        0.00000000015,        5.36372773071,    78731.67441507700 },
    {        0.00000000013,        5.39542347713,    52381.99183158559 },
    {        0.00000000013,        4.87338812455,    64901.25971792339 },
    {        0.00000000017,        2.39131877144,    75615.25459924959 },
    {        0.00000000017,        0.07084676538,     2199.08734328700 },
    {        0.00000000012,        1.63509087059,    72936.23331633979 },
    {        0.00000000013,        0.40053805312,     1162.47470440780 },
    {        0.00000000014,        0.74485553956,   129387.24732468258 },
    {        0.00000000016,        5.91696544650,    32769.12799497380 },
    {        0.00000000013,        4.28055749070,    23866.04650697719 },
    {        0.00000000012,        0.87706609381,    24292.64469785319 },
    {        0.00000000013,        2.01208885170,   128320.75184749259 },
    {        0.00000000013,        1.30119195062,    26724.89941359840 },
    {        0.00000000012,        1.81653810675,    22909.75735100660 },
    {        0.00000000014,        3.14098076689,    11610.55195837420 },
    {        0.00000000011,        5.30288510851,    24601.92302050899 },
    {        0.00000000013,        3.84039381809,    25953.79409198919 },
    {        0.00000000011,        0.81162414242,    78903.60671103658 },
    {        0.00000000013,        3.72512024241,   182085.63102592478 },
    {        0.00000000011,        5.26526210273,   130446.62925487179 },
    {        0.00000000011,        1.49242011592,   130652.81480330898 },
    {        0.00000000014,        2.81964511477,     1639.06951718800 },
    {        0.00000000013,        4.02613728949,   111122.32316754239 },
    {        0.00000000011,        2.35461773070,    35077.37084700659 },
    {        0.00000000011,        2.11106605234,    52250.58788171570 },
    {        0.00000000011,        5.51868182222,    52808.59002246159 },
    {        0.00000000013,        3.24055544955,   102018.41617342478 },
    {        0.00000000013,        0.04071468744,   130443.39704322898 },
    {        0.00000000014,        4.77952737392,    77726.90491262719 },
    {        0.00000000013,        5.60037794332,    25446.48957983520 },
    {        0.00000000011,        0.66633124661,    36109.74042167360 },
    {        0.00000000010,        4.33936275875,       95.97922721780 },
    {        0.00000000014,        4.03073574294,   157586.80077963436 },
    {        0.00000000010,        2.92400898739,   130226.21661243298 },
    {        0.00000000011,        4.50828985072,    78187.44335344699 },
    {        0.00000000012,        6.08801478006,    25450.90686955000 },
    {        0.00000000011,        6.23593133377,   204151.27163553477 },
    {        0.00000000010,        1.01377621126,    65831.66677432480 },
    {        0.00000000011,        3.04942272888,      309.27832265580 },
    {        0.00000000011,        4.87839287541,    54087.00576636560 },
    {        0.00000000009,        3.68149837141,   199599.31813847594 },
    {        0.00000000012,        1.94632930172,     1135.67687189320 },
    {        0.00000000010,        2.75654212398,      103.78218858060 },
    {        0.00000000009,        5.23889079020,      160.40736938481 },
    {        0.00000000009,        0.95715458203,   129373.02023068098 },
    {        0.00000000010,        1.77424642113,    25754.04720080480 },
    {        0.00000000011,        3.45442974499,    27177.61193276780 },
    {        0.00000000010,        5.44116629906,    16703.06213349900 },
    {        0.00000000010,        0.44395632018,    26729.31670331319 },
    {        0.00000000009,        3.06481394039,    77101.23472031478 },
    {        0.00000000010,        3.60324717226,    76784.84285065818 },
    {        0.00000000012,        0.43935234109,   125112.03959948818 },
    {        0.00000000010,        4.51325369042,   102769.65321801379 },
    {        0.00000000010,        5.29423372003,     8989.46770543239 },
    {        0.00000000009,        1.73463346908,      949.17560896980 },
    {        0.00000000010,        3.39439566279,    25771.51127191760 },
    {        0.00000000009,        2.00243027457,   133882.09065283637 },
    {        0.00000000010,        2.40498617897,     3462.24470586520 },
    {        0.00000000009,        4.39382176626,      224.34479570190 },
    {        0.00000000010,        5.92210377632,    26404.29501123080 },
    {        0.00000000008,        3.16962446824,    24079.34560241519 },
    {        0.00000000008,        5.48696113187,    34082.43158359840 },
    {        0.00000000008,        1.24488871988,   104275.34649502118 },
    {        0.00000000008,        0.76238121766,    52101.02468458109 },
    {        0.00000000008,        1.48210524716,    12546.48193908300 },
    {        0.00000000008,        0.46458507594,       11.04570026390 },
    {        0.00000000008,        4.87977464179,    52609.51802102519 },
    {        0.00000000009,        3.55766276536,   391318.54712361295 },
    {        0.00000000008,        3.76663108473,    26395.46076254379 },
    {        0.00000000008,        5.75209002292,    86457.98475793119 },
    {        0.00000000009,        3.51397928160,    50049.92887576919 },
    {        0.00000000008,        5.49730957340,    25352.02662804239 },
    {        0.00000000010,        0.22640990790,   103932.12792242158 },
    {        0.00000000008,        4.94949508683,     1263.15736257819 },
    {        0.00000000008,        5.75024943815,    97670.38771289718 },
    {        0.00000000008,        3.55911690335,    25508.21555457540 },
    {        0.00000000008,        0.49323679798,   173511.41499690176 },
    {        0.00000000008,        4.25787691147,    78109.93061423779 },
    {        0.00000000009,        0.48205382916,   233731.74634397859 },
    {        0.00000000008,        5.02364007454,    77616.69859140778 },
    {        0.00000000008,        3.61376880135,    28736.35796704720 },
    {        0.00000000009,        2.48423459733,    58220.03486452380 },
    {        0.00000000007,        5.29831732661,    51852.30086649099 },
    {        0.00000000007,        0.35423551089,   225687.22128005017 },
    {        0.00000000007,        0.75465996591,   103917.90082841998 },
    {        0.00000000007,        5.46797664245,    25928.60140678200 },
    {        0.00000000007,        5.70423964424,   128220.75860368418 },
    {        0.00000000007,        3.66110166412,   151199.94274106238 },
    {        0.00000000008,        0.97149572453,   181026.24909573558 },
    {        0.00000000007,        5.12413207903,    26421.75908234360 },
    {        0.00000000009,        4.75911094540,    27669.86248985719 },
    {        0.00000000008,        5.95900851407,      625.67019231240 },
    {        0.00000000007,        0.32910184643,   179172.74704605396 },
    {        0.00000000007,        0.91475243663,   104202.04936916218 },
    {        0.00000000008,        1.54770113018,   196137.07343261078 },
    {        0.00000000007,        3.01695574126,    70269.18098269838 },
    {        0.00000000009,        5.83594884566,   203041.89308344139 },
    {        0.00000000007,        5.10008456774,   233681.74972207437 },
    {        0.00000000007,        0.14157653167,    51859.41441349179 },
    {        0.00000000009,        4.93367100659,   161079.37234650398 },
    {        0.00000000007,        5.75255600320,    53399.62412392700 },
    {        0.00000000008,        0.35259207804,   102872.74599223239 },
    {        0.00000000007,        0.34512186024,    54824.26110862140 },
    {        0.00000000007,        4.05167497620,    53867.97195265079 },
    {        0.00000000007,        2.69373957868,    52492.19815280499 },
    {        0.00000000006,        4.72368015481,    74923.09699802278 },
    {        0.00000000006,        0.36906501806,    26823.77965510599 },
    {        0.00000000007,        2.60864499567,   229129.79622501557 },
    {        0.00000000007,        5.03378015347,   159969.99379441058 },
    {        0.00000000007,        2.21848820219,   235900.50682626115 },
    {        0.00000000006,        4.20176618520,   130363.24963659538 },
    {        0.00000000006,        5.89471215179,    84944.93427812219 },
    {        0.00000000006,        4.91837821889,   102659.44689679438 },
    {        0.00000000008,        1.09478757087,   192828.60753723036 },
    {        0.00000000008,        1.86475123525,     2168.76048228260 },
    {        0.00000000007,        4.68299502093,      838.96928775040 },
    {        0.00000000006,        1.24133628165,   123554.36581794015 },
    {        0.00000000006,        1.20512971524,   181659.72224941078 },
    {        0.00000000007,        3.89067266316,    77795.74443436819 },
    {        0.00000000006,        5.98763670044,   156314.11975400720 },
    {        0.00000000006,        3.89399244971,    78188.92782615528 },
    {        0.00000000006,        5.34622852527,   104984.39630560997 },
    {        0.00000000006,        2.32335163581,    78896.49316403578 },
    {        0.00000000006,        1.68227658104,   103718.82882698359 },
    {        0.00000000006,        2.48458298163,   123758.29085447139 },
    {        0.00000000006,        5.66247708666,    78580.10129437919 },
    {        0.00000000006,        6.27477830501,    31415.37924995700 },
    {        0.00000000007,        3.79210797900,      846.08283475120 },
    {        0.00000000007,        5.53045913585,      917.93028598180 },
    {        0.00000000006,        0.38100676678,   182188.72380014337 },
    {        0.00000000007,        1.25845018875,   128857.55635958798 },
    {        0.00000000007,        5.96731031430,   156507.74908854539 },
    {        0.00000000008,        3.49733249703,   259819.64948555277 },
    {        0.00000000008,        3.80991558396,    99024.13645791399 },
    {        0.00000000006,        1.45803753709,   101011.00013959699 },
    {        0.00000000006,        2.51991869762,    79487.52726550119 },
    {        0.00000000007,        5.27159282206,   126996.94076290558 },
    {        0.00000000006,        4.53802387387,   156740.71794488319 },
    {        0.00000000006,        4.38922472191,    38634.38508065720 },
    {        0.00000000006,        1.24138581934,    78160.61665050399 },
    {        0.00000000006,        1.96194064026,   176332.24614102798 },
    {        0.00000000006,        4.50123750445,    78339.97549599818 },
    {        0.00000000006,        3.99725647445,   130285.73689738619 },
    {        0.00000000006,        3.69420394003,    78213.71280281838 },
    {        0.00000000008,        3.17275221265,    77741.13200662879 },
    {        0.00000000008,        4.42357793667,   166740.70439565618 },
    {        0.00000000007,        2.50899938142,    78378.14871340781 },
    {        0.00000000006,        0.43130071950,   104301.61594439259 },
    {        0.00000000008,        5.01521520904,    52396.21892558720 },
    {        0.00000000006,        6.09163087172,    51955.39364070959 },
    {        0.00000000007,        0.91553963150,    25600.26839032000 },
    {        0.00000000007,        2.89187371967,   230239.17477710897 },
    {        0.00000000006,        2.03170180629,    76571.54375522019 },
    {        0.00000000005,        3.91400123749,   130289.95251073639 },
    {        0.00000000006,        0.99207626768,    50264.60679993120 },
    {        0.00000000005,        1.59855381219,    90989.16285949759 },
    {        0.00000000006,        1.01911419114,    26734.91397488900 },
    {        0.00000000006,        3.17211165890,   123668.80510662538 },
    {        0.00000000006,        4.74438520416,    48997.66049258080 },
    {        0.00000000007,        3.22371847471,   183145.01295611399 },
    {        0.00000000006,        2.90289315925,    61279.71327726600 },
    {        0.00000000006,        0.00896880815,   103829.03514820298 },
    {        0.00000000005,        0.00751955508,   149756.70824819960 },
    {        0.00000000005,        4.51218979337,   137678.19129947099 },
    {        0.00000000007,        3.68922759436,    81604.32185142238 },
    {        0.00000000006,        4.26037526854,   104248.51979207818 },
    {        0.00000000005,        4.39017426465,    65538.25598994759 },
    {        0.00000000006,        3.23714935766,   208276.62694171758 },
    {        0.00000000006,        3.25754449540,    27250.37784598199 },
    {        0.00000000005,        0.50823677768,   417406.45026518719 },
    {        0.00000000007,        3.25874001817,    48847.67062686820 },
    {        0.00000000005,        2.79144107928,    51315.49635439559 },
    {        0.00000000007,        0.15300257128,     2014.98167179780 },
    {        0.00000000006,        5.45690475475,     1243.48760167840 },
    {        0.00000000005,        5.63427188169,    51868.24866217880 },
    {        0.00000000005,        1.31846740403,    94329.77528619739 },
    {        0.00000000005,        5.08511501937,    51841.95034237900 },
    {        0.00000000006,        3.24078877347,   130020.03106399579 },
    {        0.00000000005,        2.39019816175,    77956.15180375299 },
    {        0.00000000006,        0.09300008200,    75930.51303185058 },
    {        0.00000000006,        0.57847576593,    26709.64694241340 },
    {        0.00000000006,        6.02384295193,   104237.17327761157 },
    {        0.00000000005,        1.17804180960,   104505.39137678158 },
    {        0.00000000006,        1.53496281816,   130866.11389874699 },
    {        0.00000000005,        5.47810909806,   149846.19399604559 },
    {        0.00000000007,        1.59214422735,    50800.03248330259 },
    {        0.00000000006,        2.37957772692,    80596.90581759460 },
    {        0.00000000005,        5.20070080185,    78338.49102328988 },
    {        0.00000000007,        3.70877081633,   145204.75475114078 },
    {        0.00000000007,        2.08384940658,    52065.59996192899 },
    {        0.00000000006,        2.82731949689,    52286.01260436779 },
    {        0.00000000007,        6.09436652634,    81591.84508100279 },
    {        0.00000000006,        3.54654895094,   198489.93958638259 },
    {        0.00000000005,        6.14985688293,    79116.90580647459 },
    {        0.00000000006,        4.85208852587,    91805.13062721379 },
    {        0.00000000006,        3.78495993627,   207114.15223730978 },
    {        0.00000000005,        4.00009786605,    51226.63067417859 },
    {        0.00000000007,        4.56758670190,   156954.01704032117 },
    {        0.00000000005,        3.75488202656,   155475.15046625677 },
    {        0.00000000007,        4.71928298002,   158116.49174472899 },
    {        0.00000000006,        6.24134016928,   209232.91609768817 },
    {        0.00000000006,        0.35400062059,   208173.53416749899 },
    {        0.00000000006,        0.05507363760,   136722.59155786238 },
    {        0.00000000005,        6.03052619166,    50167.24874398939 },
    {        0.00000000005,        2.79008591575,   154194.22245657316 },
    {        0.00000000006,        1.87811621270,    80174.90890793978 },
    {        0.00000000006,        4.20369832735,   123200.84011627098 },
    {        0.00000000005,        3.51935800778,   209658.82487420217 },
    {        0.00000000005,        1.86237962806,   259769.65286364855 },
    {        0.00000000005,        1.05147991932,    27780.06881107659 },
    {        0.00000000005,        1.07470529653,    76152.05911134499 },
    {        0.00000000005,        5.15226478485,   261988.40996783535 },
    {        0.00000000005,        1.28225132870,    39450.35284837340 },
    {        0.00000000006,        3.39529287695,   143005.66740785379 },
    {        0.00000000005,        2.74556405934,    51329.72344839720 },
    {        0.00000000006,        5.93028775117,     1478.86657406440 },
    {        0.00000000005,        4.03764312401,    78153.50310350319 },
    {        0.00000000007,        0.41429504672,   137210.22630911658 },
    {        0.00000000007,        1.33294768928,     1731.12235293260 },
    {        0.00000000006,        4.97923764806,   202420.14928260216 },
    {        0.00000000006,        4.74759480967,    26575.53789282839 },
    {        0.00000000005,        2.53784371972,   154308.66174525840 },
    {        0.00000000005,        1.76156503657,    78484.12206716139 },
    {        0.00000000005,        0.25034623664,    78800.51393681798 },
    {        0.00000000005,        5.51979105321,    50910.23880452200 },
    {        0.00000000006,        2.79878095447,   182595.65223011957 },
    {        0.00000000005,        2.18860356832,    42790.96527507320 },
    {        0.00000000005,        0.55904094194,     2383.19301477620 },
    {        0.00000000005,        5.27380977719,    52309.91533273340 },
    {        0.00000000005,        1.99514162070,   156534.53239644598 },
    {        0.00000000005,        3.08962146646,    77947.31755506598 },
    {        0.00000000005,        2.53115311032,    80382.47328510099 },
    {        0.00000000006,        0.72483599766,   183674.70392120857 },
    {        0.00000000006,        5.87094389034,   129586.31932611899 },
    {        0.00000000004,        3.38538707199,   174620.79354899516 },
    {        0.00000000005,        1.69610535490,   189386.03259226496 },
    {        0.00000000005,        4.44041391120,   127098.90328117118 },
    {        0.00000000005,        1.91636184492,    52325.36948028299 },
    {        0.00000000004,        4.33627478046,       89.48574784600 },
    {        0.00000000005,        2.78454061573,   103498.41618454478 },
    {        0.00000000005,        2.80022335340,     4437.51420837359 },
    {        0.00000000006,        4.57903777326,   240452.46032331997 },
    {        0.00000000005,        1.82284966431,     1884.90116341740 },
    {        0.00000000004,        3.54115739914,    70383.62027138360 },
    {        0.00000000006,        4.44862307428,    78057.52387628538 },
    {        0.00000000005,        5.60499626286,    87253.17713015496 },
    {        0.00000000004,        0.60639839734,    77314.53381575279 },
    {        0.00000000006,        3.07379721651,   156531.30018480320 },
    {        0.00000000005,        3.05321446236,    78257.08086582259 },
    {        0.00000000004,        1.72880081184,     2111.65031337760 },
    {        0.00000000005,        5.08493502101,   112231.70171963578 },
    {        0.00000000004,        3.17961386708,   107679.74822257696 },
    {        0.00000000004,        0.99061214587,   153084.84390447979 },
    {        0.00000000004,        2.65750466453,    92741.06060792258 },
    {        0.00000000004,        0.58713530175,      323.50541665740 },
    {        0.00000000004,        3.71119398255,    26411.40855823160 },
    {        0.00000000004,        5.18520847948,    77307.42026875199 },
    {        0.00000000005,        0.32192884992,   103127.79472551816 },
    {        0.00000000004,        4.23880044095,   207747.62539098499 },
    {        0.00000000004,        3.32663238546,   104888.41707839219 },
    {        0.00000000005,        5.64530641830,   106470.37642667518 },
    {        0.00000000004,        0.76539963317,   142871.55835826878 },
    {        0.00000000004,        5.77831885615,    25466.15934073500 },
    {        0.00000000005,        4.50048062606,   222224.97657418498 },
    {        0.00000000005,        0.43033089417,   107692.22499299659 },
    {        0.00000000005,        1.77942359129,    24356.78078864160 },
    {        0.00000000004,        0.27323680716,    52278.89905736699 },
    {        0.00000000004,        0.98450071759,   130459.18546877075 },
    {        0.00000000004,        0.22797244893,    26247.20487636640 },
    {        0.00000000005,        6.27987613458,    74935.57376844240 },
    {        0.00000000005,        2.73561601564,    51538.81001112419 },
    {        0.00000000004,        4.52036588311,   163298.12945069079 },
    {        0.00000000004,        1.46002058771,      935.92998070881 },
    {        0.00000000005,        4.66040678637,   102755.42612401219 },
    {        0.00000000004,        3.44653657726,    43981.53094993980 },
    {        0.00000000004,        4.04811362371,    50380.54783942739 },
    {        0.00000000004,        0.10638912543,       38.13303563780 },
    {        0.00000000004,        4.61058187343,   118828.96374949679 },
    {        0.00000000004,        2.75690095352,   144916.86689107097 },
    {        0.00000000005,        5.65870377214,     1300.82681820500 },
    {        0.00000000004,        4.38451994728,   167850.08294774959 },
    {        0.00000000004,        0.90103901385,    24864.08530079559 },
    {        0.00000000004,        4.23072497017,   130593.29451835579 },
    {        0.00000000004,        6.07315852038,    78270.33798362259 },
    {        0.00000000004,        0.80000960641,     1485.29070670320 },
    {        0.00000000004,        4.09184420375,    79330.20490191258 },
    {        0.00000000004,        5.92521638136,   104344.98400739678 },
    {        0.00000000004,        0.50584296046,    17893.62780836560 },
    {        0.00000000005,        4.15661237129,    61560.64729122359 },
    {        0.00000000004,        1.86779221331,   104874.18998439058 },
    {        0.00000000004,        2.38956841519,    51534.39272140940 },
    {        0.00000000004,        4.95493599731,   101703.15774082378 },
    {        0.00000000004,        1.02712382423,   193937.98608932379 },
    {        0.00000000004,        1.73223710668,   187167.27548807819 },
    {        0.00000000004,        0.71864596336,      164.43591058941 },
    {        0.00000000004,        4.71994756800,   215473.93573383917 },
    {        0.00000000004,        0.86915287934,   104276.83096772949 },
    {        0.00000000005,        0.18360546450,   169093.57054942797 },
    {        0.00000000004,        1.68517945931,   103704.60173298199 },
    {        0.00000000004,        3.31690695818,   234261.43730907317 },
    {        0.00000000004,        5.30812522197,   130432.40216087017 },
    {        0.00000000004,        4.71379720816,   129806.73196855778 },
    {        0.00000000004,        1.51496580365,    99979.73619952260 },
    {        0.00000000004,        2.71144440911,     4083.98850670440 },
    {        0.00000000004,        2.79035446022,   104358.24112519680 },
    {        0.00000000004,        3.72751712279,   209762.60706278277 },
    {        0.00000000005,        1.29231046489,   266540.36346489412 },
    {        0.00000000004,        5.59214940732,   104466.05185498200 },
    {        0.00000000004,        4.67135290282,   154408.65498906677 },
    {        0.00000000004,        0.18672297599,    76137.83201734339 },
    {        0.00000000004,        4.03785678727,    52822.81711646319 },
    {        0.00000000004,        6.06255798891,   103189.13786188899 },
    {        0.00000000004,        3.25792439793,    28286.99048486120 },
    {        0.00000000004,        6.26318566840,   156107.93420556997 },
    {        0.00000000003,        2.12202622054,    78469.89497315978 },
    {        0.00000000004,        6.24222910156,    52595.29092702359 },
    {        0.00000000003,        4.35697420988,    52812.80255517260 },
    {        0.00000000003,        1.97566398707,   138319.60486120995 },
    {        0.00000000004,        0.47445141807,   171292.65789271498 },
    {        0.00000000003,        1.85052127026,    54879.42243782400 },
    {        0.00000000004,        4.19697241788,   130435.63437251298 },
    {        0.00000000004,        2.99013118992,    78149.27013603736 },
    {        0.00000000004,        1.59255142342,   103814.80805420138 },
    {        0.00000000003,        1.97075256428,   104426.39416486409 },
    {        0.00000000003,        4.71189048263,   195047.36464141717 },
    {        0.00000000004,        6.27859532373,   234364.53008329176 },
    {        0.00000000004,        0.28730856803,   233202.05537888399 },
    {        0.00000000004,        5.94325529240,    20043.67456019880 },
    {        0.00000000004,        1.12779733765,   139543.42270198860 },
    {        0.00000000003,        3.00327186987,   155887.52156313116 },
    {        0.00000000004,        2.10267022472,   104819.57755665119 },
    {        0.00000000004,        1.77647068401,   132028.58860315479 },
    {        0.00000000004,        0.24214782588,   224577.84272795677 },
    {        0.00000000004,        4.79211826277,    79315.97780791098 },
    {        0.00000000003,        1.77481925226,    53771.99272543299 },
    {        0.00000000004,        4.24020912823,   156547.08861034497 },
    {        0.00000000004,        5.44046981103,   106684.80895916879 },
    {        0.00000000004,        0.35504698785,    27044.19229754480 },
    {        0.00000000003,        3.15293616281,   195181.47369100217 },
    {        0.00000000003,        4.31718868652,    57503.28239153120 },
    {        0.00000000003,        2.68109664026,    58857.03113654799 },
    {        0.00000000003,        3.65528504142,    66653.15746634839 },
    {        0.00000000003,        0.88720012673,   105418.10804348679 },
    {        0.00000000003,        0.47019728706,   181563.05360783098 },
    {        0.00000000003,        5.67402424686,    61165.27398858079 },
    {        0.00000000003,        2.67128283641,    24998.19435038059 },
    {        0.00000000003,        3.80325286994,    26402.08932144380 },
    {        0.00000000003,        1.32004244110,    26312.24793727610 },
    {        0.00000000003,        0.57514622273,   156377.85565231059 },
    {        0.00000000003,        4.10353520436,   218916.51067880457 },
    {        0.00000000003,        3.63684349571,    26073.67604757259 },
    {        0.00000000004,        5.49029205076,     2125.87740737920 },
    {        0.00000000003,        0.83452068925,   149288.74325784517 },
    {        0.00000000003,        0.99067389256,   104197.83375581198 },
    {        0.00000000003,        3.16251732649,    53029.00266490040 },
    {        0.00000000003,        3.95355121933,    91919.56991589899 },
    {        0.00000000003,        6.17342775574,    37698.45509994840 },
    {        0.00000000004,        3.89947841403,    53906.92863608099 },
    {        0.00000000003,        4.11078389229,   155460.92337225520 },
    {        0.00000000003,        0.87067834834,   181548.82651382938 },
    {        0.00000000003,        1.57982618450,   104501.17576343138 },
    {        0.00000000003,        4.12548682099,    71378.55953479178 },
    {        0.00000000003,        1.52477907436,    78366.80219894118 },
    {        0.00000000003,        0.87753609725,     3178.14579056760 },
    {        0.00000000003,        6.07282705878,    50483.64061364600 },
    {        0.00000000003,        4.43072727499,    50007.04580086580 },
    {        0.00000000004,        5.32328931391,   129799.61842155698 },
    {        0.00000000003,        1.48103473704,    53757.76563143139 },
    {        0.00000000004,        0.00252046526,   103883.64757594238 },
    {        0.00000000003,        4.53573697740,   129902.71119577558 },
    {        0.00000000003,        4.81232864254,    79859.89586700719 },
    {        0.00000000003,        1.66108176894,    78697.42116259939 },
    {        0.00000000003,        1.84684752446,   288076.31310940959 },
    {        0.00000000003,        4.82712248849,    25991.92391435639 },
    {        0.00000000003,        2.39725254140,   156520.30530244438 },
    {        0.00000000003,        0.93947739163,    26183.88236879199 },
    {        0.00000000003,        0.70521684460,    23384.28698689860 },
    {        0.00000000003,        0.97960195128,   156681.19765992998 },
    {        0.00000000003,        4.71243430522,    76887.93562487679 },
    {        0.00000000003,        3.82703641143,   130005.80396999417 },
    {        0.00000000003,        4.79848480761,    27223.58001346740 },
    {        0.00000000003,        3.56807161466,    26189.86565983980 },
    {        0.00000000003,        5.49802214625,    87367.61641884019 },
    {        0.00000000004,        3.04198191749,   162810.49469943656 },
    {        0.00000000003,        5.99674961720,   231348.55332920235 },
    {        0.00000000003,        2.33106741466,    51439.92976961659 },
    {        0.00000000003,        2.61733694893,   130432.88714897096 },
    {        0.00000000002,        5.22176508298,    78786.28684281638 },
    {        0.00000000003,        4.88028231088,   132658.27281205778 },
    {        0.00000000003,        0.90903803463,    24952.22626968100 },
    {        0.00000000003,        4.44359777408,     6885.14988993081 },
    {        0.00000000002,        0.09332198439,    54374.89362643540 },
    {        0.00000000002,        1.50420025300,    52252.07235442399 },
    {        0.00000000003,        0.62857388379,    77039.89158394396 },
    {        0.00000000002,        3.69661372368,    45494.58142974879 },
    {        0.00000000003,        1.28130112897,   156523.53751408719 },
    {        0.00000000003,        3.10706736688,    53132.09543911899 },
    {        0.00000000002,        2.39688673711,    52137.67324751059 },
    {        0.00000000003,        6.03996003965,   188898.39784101077 },
    {        0.00000000003,        1.12896001904,   102975.83876645098 },
    {        0.00000000003,        1.06608582202,   128843.32926558638 },
    {        0.00000000003,        2.04617498651,    51707.84129279399 },
    {        0.00000000002,        4.71560069328,   164407.50800278416 },
    {        0.00000000002,        2.70764577076,   182402.02289558138 },
    {        0.00000000002,        2.82013540933,    63786.35824152260 },
    {        0.00000000002,        2.54951394512,    25985.94062330859 },
    {        0.00000000003,        0.19858896817,    53265.51507434200 },
    {        0.00000000003,        4.34325432962,   168959.46149984296 },
    {        0.00000000003,        3.74410347667,    62197.64356324779 },
    {        0.00000000002,        0.52642258950,   171004.77003264520 },
    {        0.00000000003,        2.31120031707,    26013.12154300690 },
    {        0.00000000003,        5.59058462965,   180396.56488683258 },
    {        0.00000000002,        2.51510994796,    26667.59072857300 },
    {        0.00000000003,        1.48135858208,   105403.88094948517 },
    {        0.00000000002,        1.09140996130,   180496.55813064100 },
    {        0.00000000003,        1.22647733767,   248312.87971575916 },
    {        0.00000000002,        0.36339757941,    96471.52341295779 },
    {        0.00000000002,        1.35408345025,    23919.14265929160 },
    {        0.00000000003,        2.80629290854,    78043.29678228378 },
    {        0.00000000002,        3.31876051250,   205260.65018762814 },
    {        0.00000000002,        0.20681692579,    51596.11869614960 },
    {        0.00000000002,        1.53176493082,   158746.17595363196 },
    {        0.00000000002,        1.48023064256,   184204.39488630317 },
    {        0.00000000003,        1.49887007773,   106262.81204951399 },
    {        0.00000000003,        5.05636989583,   130907.48069822539 },
    {        0.00000000003,        0.54238316070,    52041.69723356339 },
    {        0.00000000003,        5.75431374896,   130446.14426677099 },
    {        0.00000000002,        2.93093373409,   159855.55450572536 },
    {        0.00000000002,        3.56437176463,    52797.55008398759 },
    {        0.00000000002,        2.62047980540,    78683.19406859778 },
    {        0.00000000002,        2.11384955087,    25773.71696170459 },
    {        0.00000000002,        4.15782415140,    52400.15107885030 },
    {        0.00000000002,        5.89562175995,   133767.65136415116 },
    {        0.00000000002,        1.35665861508,   183041.92018189540 },
    {        0.00000000002,        0.11609465401,    27170.98337386779 },
    {        0.00000000002,        3.03178665319,   112545.88789950538 },
    {        0.00000000002,        4.10556118800,   113455.51956041438 },
    {        0.00000000002,        2.14271307715,    51951.46148744649 },
    {        0.00000000002,        1.68546478089,    78313.70604662679 },
    {        0.00000000003,        6.19908560971,    25004.82290928060 },
    {        0.00000000002,        2.84045476324,   155303.60100866656 },
    {        0.00000000002,        2.26145864726,    76998.14194609619 },
    {        0.00000000002,        4.74126987497,   213255.17862965239 },
    {        0.00000000002,        2.40187436652,    52509.66222391780 },
    {        0.00000000002,        0.23208171234,    24448.83362438620 },
    {        0.00000000002,        2.50290073656,    26102.13023557580 },
    {        0.00000000002,        1.36349447497,   234798.24182116857 },
    {        0.00000000002,        2.02736374318,    60170.33472517260 },
    {        0.00000000002,        3.57423748725,   175730.17210108857 },
    {        0.00000000002,        2.55875179877,    76255.15188556358 },
    {        0.00000000002,        5.00767344604,    50444.68393021580 },
    {        0.00000000002,        4.87112232665,    78413.27262185719 },
    {        0.00000000003,        5.80075910765,    78373.91574594198 },
    {        0.00000000002,        3.44901114128,   251775.12442162435 },
    {        0.00000000002,        5.01117672779,   182622.43553802016 },
    {        0.00000000002,        5.77978141973,    77403.39949596979 },
    {        0.00000000002,        2.01783291860,    78397.81847430758 },
    {        0.00000000002,        1.16361857643,   104145.42701785959 },
    {        0.00000000002,        0.28513369746,   235746.72801577637 },
    {        0.00000000002,        0.47269960302,   156093.70711156839 },
    {        0.00000000002,        3.62048919482,    17098.43543614181 },
    {        0.00000000002,        0.12909617158,    52161.57918914679 },
    {        0.00000000002,        2.17258312431,   308502.88420183153 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L2_MERCURY[] =
  {
    {        0.00016395129,        4.67759555504,    26087.90314157420 },
    {        0.00008123865,        1.40305644134,    52175.80628314840 },
    {        0.00003208170,        4.49577853102,    78263.70942472259 },
    {        0.00001128209,        1.27901273779,   104351.61256629678 },
    {        0.00000877186,        3.14159265359,        0.00000000000 },
    {        0.00000371058,        4.31735787338,   130439.51570787099 },
    {        0.00000116931,        1.04943307731,   156527.41884944518 },
    {        0.00000035802,        4.04587257390,   182615.32199101939 },
    {        0.00000014897,        4.63345988506,     1109.37855209340 },
    {        0.00000010747,        0.74352925179,   208703.22513259359 },
    {        0.00000005244,        4.71804553686,    24978.52458948080 },
    {        0.00000003182,        3.71128464182,   234791.12827416777 },
    {        0.00000002547,        1.43801901419,    27197.28169366760 },
    {        0.00000002033,        1.49538090708,    51066.42773105500 },
    {        0.00000000972,        1.80406148095,      955.59974160860 },
    {        0.00000000933,        0.38508064082,   260879.03141574195 },
    {        0.00000000628,        6.18336027299,      529.69096509460 },
    {        0.00000000628,        4.84993612548,    24498.83024629040 },
    {        0.00000000748,        4.53886632656,    77154.33087262919 },
    {        0.00000000652,        0.98244103623,     5661.33204915220 },
    {        0.00000000570,        5.93087624804,    25028.52121138500 },
    {        0.00000000554,        2.13567295803,    20426.57109242200 },
    {        0.00000000508,        4.11405647413,     4551.95349705880 },
    {        0.00000000608,        4.54161712968,     2218.75710418680 },
    {        0.00000000439,        3.40841487365,    11322.66409830440 },
    {        0.00000000383,        2.84041448501,    26617.59410666880 },
    {        0.00000000371,        0.82325076093,     6770.71060124560 },
    {        0.00000000321,        5.20252163124,    46514.47423399620 },
    {        0.00000000310,        3.21458500897,     1059.38193018920 },
    {        0.00000000332,        0.97193908732,    25132.30339996560 },
    {        0.00000000328,        2.23586205224,    21535.94964451540 },
    {        0.00000000303,        4.67984690863,    27043.50288318280 },
    {        0.00000000272,        3.33112990946,   286966.93455731618 },
    {        0.00000000247,        5.87790567404,    16983.99614745660 },
    {        0.00000000311,        4.22425838013,     3442.57494496540 },
    {        0.00000000237,        4.37072058392,      114.43928868521 },
    {        0.00000000230,        0.93160807269,    30639.85663863300 },
    {        0.00000000264,        1.28267621568,   103242.23401420339 },
    {        0.00000000209,        3.30050747071,      213.29909543800 },
    {        0.00000000197,        2.07978399454,    22645.32819660879 },
    {        0.00000000175,        6.23699804715,    27147.28507176339 },
    {        0.00000000182,        0.62557819405,    25448.00585526019 },
    {        0.00000000219,        1.34273602039,    28306.66024576099 },
    {        0.00000000155,        3.92088824161,    32858.61374281979 },
    {        0.00000000161,        5.79480893327,    52705.49724824299 },
    {        0.00000000153,        4.33625862893,     1589.07289528380 },
    {        0.00000000160,        4.80006144385,    23869.14603738740 },
    {        0.00000000149,        1.98766674679,    72602.37737557039 },
    {        0.00000000146,        5.95917025706,    14765.23904326980 },
    {        0.00000000129,        4.15874670686,    23969.13928119580 },
    {        0.00000000135,        3.86681741058,    51220.20654153979 },
    {        0.00000000141,        3.66926746092,    25558.21217647960 },
    {        0.00000000113,        3.90421550560,    83925.04147387479 },
    {        0.00000000108,        1.38888153019,    50586.73338786459 },
    {        0.00000000115,        0.15119470114,    26301.20223701220 },
    {        0.00000000119,        3.62238641476,    53285.18483524180 },
    {        0.00000000098,        3.99032605577,    56727.75978020720 },
    {        0.00000000094,        2.05358227305,    26068.23338067440 },
    {        0.00000000102,        0.85715423056,    57837.13833230060 },
    {        0.00000000086,        3.04235521268,    53235.18821333759 },
    {        0.00000000104,        5.32353970232,     7238.67559160000 },
    {        0.00000000088,        4.29297146473,   129330.13715577759 },
    {        0.00000000096,        2.24007027333,    19317.19254032860 },
    {        0.00000000099,        0.99982390475,    29530.47808653960 },
    {        0.00000000079,        6.26974865489,   313054.83769889036 },
    {        0.00000000075,        5.40697085015,    26091.78447693220 },
    {        0.00000000074,        4.30770581759,     2333.19639287200 },
    {        0.00000000081,        0.96615031171,    26107.57290247399 },
    {        0.00000000068,        0.70236298544,   110012.94461544899 },
    {        0.00000000084,        3.28239679269,    12432.04265039780 },
    {        0.00000000069,        3.55775707713,    13521.75144159140 },
    {        0.00000000077,        0.27361110210,    37410.56723987860 },
    {        0.00000000066,        5.08814197377,    79373.08797681599 },
    {        0.00000000064,        2.75924146152,    40853.14218484400 },
    {        0.00000000067,        3.89692983127,    26084.02180621620 },
    {        0.00000000062,        5.77595948720,    12566.15169998280 },
    {        0.00000000062,        2.68303226418,    43071.89928903080 },
    {        0.00000000068,        3.44188386122,    10213.28554621100 },
    {        0.00000000059,        0.86974939194,    53131.40602475700 },
    {        0.00000000061,        0.16326480892,    36301.18868778519 },
    {        0.00000000062,        5.03081926384,    98690.28051714458 },
    {        0.00000000063,        2.49283930330,    78793.40038981718 },
    {        0.00000000055,        1.00982472538,    27676.97603685800 },
    {        0.00000000054,        1.15894540115,    26202.34243025941 },
    {        0.00000000052,        1.55698657263,    49957.04917896160 },
    {        0.00000000051,        5.13863384999,    52156.13652224860 },
    {        0.00000000050,        1.60202945983,    25234.70675982219 },
    {        0.00000000053,        2.66625298995,   103292.23063610759 },
    {        0.00000000052,        0.53816996194,    77308.10968311399 },
    {        0.00000000053,        5.48671975064,    25661.30495069820 },
    {        0.00000000047,        5.18449121077,    48733.23133818299 },
    {        0.00000000054,        5.50628728318,    77204.32749453338 },
    {        0.00000000045,        4.98425073175,    25973.46385288896 },
    {        0.00000000049,        0.54622585936,    51646.11531805379 },
    {        0.00000000053,        0.33861329992,    25874.60404613620 },
    {        0.00000000041,        2.21595927672,    52179.68761850640 },
    {        0.00000000041,        2.78727398693,    41962.52073693740 },
    {        0.00000000036,        5.03373039765,    26080.78959457339 },
    {        0.00000000037,        5.80421105052,    68050.42387851159 },
    {        0.00000000039,        0.07497517201,    38519.94579197200 },
    {        0.00000000035,        3.29702164337,    62389.09182935939 },
    {        0.00000000043,        3.24027622244,    52389.10537858640 },
    {        0.00000000042,        2.42467105416,      639.89728631400 },
    {        0.00000000037,        6.10413466135,    79323.09135491178 },
    {        0.00000000038,        0.75728548339,    82815.66292178139 },
    {        0.00000000039,        5.83856275214,    31749.23519072640 },
    {        0.00000000033,        2.45594764622,    38654.05484155699 },
    {        0.00000000040,        1.13429314401,    51116.42435295920 },
    {        0.00000000041,        4.30596946224,    26095.01668857500 },
    {        0.00000000040,        3.14916876711,      426.59819087600 },
    {        0.00000000039,        1.79865756533,    33326.57873317420 },
    {        0.00000000031,        5.81703678643,   129380.13377768178 },
    {        0.00000000032,        3.75967831149,   136100.84775702318 },
    {        0.00000000031,        0.71579629690,    50057.04242277000 },
    {        0.00000000034,        4.04941185304,    55618.38122811380 },
    {        0.00000000030,        1.57910338320,    52168.69273614759 },
    {        0.00000000031,        0.09729309307,    47623.85278608960 },
    {        0.00000000029,        3.72168845249,    51535.90899683439 },
    {        0.00000000039,        4.04661946156,    52195.47604404819 },
    {        0.00000000038,        3.74329013991,    18849.22754997420 },
    {        0.00000000030,        0.74969213513,     7880.08915333899 },
    {        0.00000000028,        1.00979692149,   155418.04029735178 },
    {        0.00000000033,        5.78833433505,    18093.37469954999 },
    {        0.00000000033,        0.72168395673,    52171.92494779040 },
    {        0.00000000034,        5.29277111978,    45405.09568190280 },
    {        0.00000000025,        5.17302047914,    99799.65906923798 },
    {        0.00000000029,        4.27878688840,    54394.56338733519 },
    {        0.00000000023,        2.91420022643,   339142.74084046460 },
    {        0.00000000029,        3.06502211848,    77734.01845962799 },
    {        0.00000000029,        1.05041966879,    52182.91983014920 },
    {        0.00000000023,        5.05463364253,     2118.76386037840 },
    {        0.00000000025,        5.79963493025,    66941.04532641819 },
    {        0.00000000022,        2.60637985278,    94138.32702008578 },
    {        0.00000000023,        2.16401194556,    73711.75592766379 },
    {        0.00000000025,        0.08404534895,    26514.50133245020 },
    {        0.00000000021,        4.43708040700,     3328.13565628019 },
    {        0.00000000020,        1.08338958579,    28421.09953444620 },
    {        0.00000000020,        1.88500536861,    78244.03966382280 },
    {        0.00000000023,        1.77623772399,   124778.18365871879 },
    {        0.00000000023,        5.48177653849,   104881.30353139139 },
    {        0.00000000021,        3.97578154158,    53764.87917843220 },
    {        0.00000000018,        3.51290465186,   103396.01282468818 },
    {        0.00000000019,        1.96045370871,    23754.70674870219 },
    {        0.00000000018,        2.89112115044,     6283.07584999140 },
    {        0.00000000016,        4.59238950011,    76044.95232053580 },
    {        0.00000000019,        3.14667729625,    51109.31080595839 },
    {        0.00000000018,        5.83387936093,    32370.97899156560 },
    {        0.00000000016,        0.09294518979,    88476.99497093359 },
    {        0.00000000015,        5.46245475561,    64741.95798313119 },
    {        0.00000000016,        0.03607120436,    15874.61759536320 },
    {        0.00000000016,        2.61537304697,    51123.53789995999 },
    {        0.00000000017,        5.25094113087,    78267.59076008058 },
    {        0.00000000014,        2.60868275590,   155468.03691925600 },
    {        0.00000000019,        4.41133632855,     1223.81784077861 },
    {        0.00000000014,        1.94550512688,   125887.56221081219 },
    {        0.00000000014,        4.09356954849,    51962.50718771040 },
    {        0.00000000013,        1.69184734385,   105460.99111839019 },
    {        0.00000000013,        0.42992478235,    91785.46086631398 },
    {        0.00000000014,        4.22260830493,    52290.24557183361 },
    {        0.00000000014,        0.84325677092,    78283.37918562238 },
    {        0.00000000015,        3.81728490126,    33967.99229491319 },
    {        0.00000000015,        6.08137402799,    13655.86049117640 },
    {        0.00000000016,        5.91267910196,   103821.92160120218 },
    {        0.00000000012,        4.62244083876,    78256.59587772179 },
    {        0.00000000013,        4.11184990100,    78270.82297172339 },
    {        0.00000000013,        0.51159953038,   162188.75089859738 },
    {        0.00000000016,        0.27438111404,    44937.13069154840 },
    {        0.00000000015,        0.06283579474,    78477.00852016058 },
    {        0.00000000012,        3.74786317614,    79219.30916633119 },
    {        0.00000000014,        3.73252208342,    76674.63652943878 },
    {        0.00000000013,        2.85873269026,   105410.99449648599 },
    {        0.00000000011,        3.31652116583,    52602.40447402440 },
    {        0.00000000011,        0.85286372231,    81706.28436968799 },
    {        0.00000000014,        3.80403488700,   108903.56606335558 },
    {        0.00000000010,        1.28396028602,    29416.03879785439 },
    {        0.00000000010,        5.65745629948,   120226.23016165999 },
    {        0.00000000012,        2.03863313977,    71492.99882347698 },
    {        0.00000000012,        3.78051451699,    78259.82808936459 },
    {        0.00000000012,        3.58068127033,    65697.55772473979 },
    {        0.00000000009,        6.26481642814,    77197.21394753258 },
    {        0.00000000010,        1.74557548628,    52061.36699446317 },
    {        0.00000000011,        5.51854977063,    26727.80042788820 },
    {        0.00000000009,        0.87609670035,    71980.63357473118 },
    {        0.00000000012,        2.78603563772,      636.99627202420 },
    {        0.00000000011,        2.55599225548,    44181.27784112419 },
    {        0.00000000008,        3.96918329614,   181505.94343892598 },
    {        0.00000000010,        4.03307160926,    45892.73043315699 },
    {        0.00000000008,        0.26156604139,    58946.51688439399 },
    {        0.00000000008,        3.43030220559,    23439.44831610119 },
    {        0.00000000007,        2.31338515724,    18207.81398823521 },
    {        0.00000000007,        2.30432003862,    58458.88213313979 },
    {        0.00000000007,        3.55312224720,   117873.36400788819 },
    {        0.00000000009,        5.71593232265,    77211.44104153418 },
    {        0.00000000007,        4.76096150126,    51322.60990139639 },
    {        0.00000000008,        2.48388995708,    93028.94846799239 },
    {        0.00000000007,        4.09761336373,    39609.65458316560 },
    {        0.00000000007,        5.75283699646,   365230.64398203877 },
    {        0.00000000006,        3.99273743908,    59414.48187474840 },
    {        0.00000000007,        1.69373822080,    28206.66700195260 },
    {        0.00000000006,        3.28204561721,    64607.84893354619 },
    {        0.00000000006,        1.54444675453,      853.19638175200 },
    {        0.00000000008,        0.57761210288,    60055.89543648739 },
    {        0.00000000006,        5.01805475025,   151975.46535238638 },
    {        0.00000000006,        2.55446300163,    69159.80243060499 },
    {        0.00000000005,        1.51210885797,     9103.90699411760 },
    {        0.00000000006,        4.89525469227,   104331.94280539699 },
    {        0.00000000006,        4.92564085258,    22759.76748529401 },
    {        0.00000000005,        2.15346448287,    90829.86112470538 },
    {        0.00000000006,        0.65350116108,    79852.78232000639 },
    {        0.00000000005,        3.37193629625,    76144.94556434419 },
    {        0.00000000005,        2.04815817656,    74821.13447975718 },
    {        0.00000000005,        0.17834300374,   129483.91596626239 },
    {        0.00000000005,        6.16414846947,    90695.75207512039 },
    {        0.00000000005,        5.28415472245,     3340.61242669980 },
    {        0.00000000005,        3.17894500374,    13541.42120249119 },
    {        0.00000000005,        5.69793800429,   181555.94006083018 },
    {        0.00000000006,        2.66476961863,   129909.82474277639 },
    {        0.00000000005,        5.74228939026,    51742.09454527159 },
    {        0.00000000005,        4.26343733232,    54509.00267602040 },
    {        0.00000000004,        4.06123952598,    98068.53671630539 },
    {        0.00000000006,        4.74202735513,   150866.08680029298 },
    {        0.00000000004,        3.22245789732,    85034.42002596818 },
    {        0.00000000006,        2.16211417117,   130969.20667296558 },
    {        0.00000000005,        1.17994620591,    27311.72098235281 },
    {        0.00000000004,        3.13862707016,   114564.89811250778 },
    {        0.00000000004,        0.70841826293,   207593.84658050019 },
    {        0.00000000004,        2.34774987498,   103925.01437542078 },
    {        0.00000000005,        0.77949940918,    80482.46652890938 },
    {        0.00000000004,        2.88313720641,    39743.76363275060 },
    {        0.00000000005,        3.52886643334,   188276.65404017159 },
    {        0.00000000004,        0.28788817018,   143961.26714946239 },
    {        0.00000000004,        4.49043760994,   157636.79740153858 },
    {        0.00000000004,        4.21873573827,   209812.60368468694 },
    {        0.00000000004,        2.41403274829,   146314.13330323418 },
    {        0.00000000005,        1.28701603504,    78050.41032928458 },
    {        0.00000000004,        5.65308073974,     9384.84100807520 },
    {        0.00000000004,        2.64375080194,   391318.54712361295 },
    {        0.00000000003,        3.98926197489,    26555.86813192860 },
    {        0.00000000004,        0.55808934316,   134991.46920492980 },
    {        0.00000000004,        4.63875050061,   104138.31347085879 },
    {        0.00000000004,        5.06700980379,    51749.20809227239 },
    {        0.00000000004,        3.15594088685,   104564.91166173479 },
    {        0.00000000003,        5.53916777863,   103917.90082841998 },
    {        0.00000000003,        3.83058994037,   107794.18751126219 },
    {        0.00000000004,        5.62157545863,   155997.72788435058 },
    {        0.00000000003,        4.96842214526,    46848.33017476560 },
    {        0.00000000003,        1.31101001889,   102132.85546210999 },
    {        0.00000000004,        3.23824792927,    71025.03383312259 },
    {        0.00000000003,        0.56485784658,   133882.09065283637 },
    {        0.00000000003,        5.99223512848,    76681.75007643958 },
    {        0.00000000003,        2.53782771703,    77829.99768684579 },
    {        0.00000000003,        5.43159187626,    26624.70765366959 },
    {        0.00000000004,        1.90489089366,    77844.22478084739 },
    {        0.00000000004,        6.20678215413,   140652.80125408198 },
    {        0.00000000003,        5.70654241974,    70269.18098269838 },
    {        0.00000000003,        1.75060320928,   178063.36849396059 },
    {        0.00000000003,        0.83065498350,    16066.06586147480 },
    {        0.00000000004,        2.57176066723,   103299.34418310839 },
    {        0.00000000003,        1.14659714282,   183724.70054311279 },
    {        0.00000000003,        5.14785501146,    51756.32163927320 },
    {        0.00000000003,        2.57903197263,   102769.65321801379 },
    {        0.00000000003,        3.76793354375,   233681.74972207437 },
    {        0.00000000004,        0.24142818439,   214364.55718174577 },
    {        0.00000000003,        2.82633220723,    78417.48823520739 },
    {        0.00000000003,        1.50791196104,   176953.98994186718 },
    {        0.00000000003,        0.75025191061,   124156.43985787958 },
    {        0.00000000003,        0.11585083927,    78690.30761559859 },
    {        0.00000000004,        1.63233334725,    48847.67062686820 },
    {        0.00000000003,        0.91669674969,   104358.72611329758 },
    {        0.00000000003,        4.73790735448,   204151.27163553477 },
    {        0.00000000004,        5.28351285620,    77837.11123384659 },
    {        0.00000000003,        5.18374032893,    84546.78527471398 },
    {        0.00000000003,        5.43488671242,   172402.03644480839 },
    {        0.00000000003,        3.09682427852,   103285.11708910679 },
    {        0.00000000003,        2.63284986442,   157586.80077963436 },
    {        0.00000000004,        2.00317069167,   104355.49390165479 },
    {        0.00000000003,        2.90251399696,    26241.68195205900 },
    {        0.00000000003,        5.12222648436,    49842.60989027639 },
    {        0.00000000003,        0.06488467746,   128850.44281258718 },
    {        0.00000000003,        0.33684256012,    26521.61487945100 },
    {        0.00000000003,        1.51588259549,   130226.21661243298 },
    {        0.00000000003,        3.67637303983,    78731.67441507700 },
    {        0.00000000003,        2.28131524438,   145204.75475114078 },
    {        0.00000000003,        5.33066683612,   130012.91751699499 },
    {        0.00000000003,        3.17481622020,   155571.81910783658 },
    {        0.00000000003,        5.98255863935,   129373.02023068098 },
    {        0.00000000003,        5.18830885909,   157057.10981453978 },
    {        0.00000000003,        2.11070427503,    26037.90651966999 },
    {        0.00000000004,        5.90634627780,   131498.89763806018 },
    {        0.00000000003,        3.25172738866,    77726.90491262719 },
    {        0.00000000003,        6.06137411612,    25035.63475838580 },
    {        0.00000000003,        2.38439906684,    52815.70356946240 },
    {        0.00000000003,        5.77780259515,   417406.45026518719 },
    {        0.00000000003,        0.15017953018,    77623.81213840858 },
    {        0.00000000003,        2.53692197918,    50579.61984086379 },
    {        0.00000000003,        3.79850964717,   104371.28232719658 },
    {        0.00000000003,        0.87877269577,    78378.14871340781 },
    {        0.00000000003,        4.51815882357,   203041.89308344139 },
    {        0.00000000003,        5.05030622136,    97580.90196505119 },
    {        0.00000000003,        3.55526005414,   161079.37234650398 },
    {        0.00000000003,        3.81129932602,   150244.34299945380 },
    {        0.00000000003,        4.34998476289,   128220.75860368418 },
    {        0.00000000003,        4.99282876183,   130443.39704322898 },
    {        0.00000000003,        6.00078316095,    52329.58509363319 },
    {        0.00000000002,        2.32406988994,   182085.63102592478 },
    {        0.00000000003,        1.60886376627,   130419.84594697120 },
    {        0.00000000003,        3.55274488009,    86143.79857806159 },
    {        0.00000000003,        6.17525348034,    25021.40766438420 },
    {        0.00000000002,        5.36948228729,    52125.80966124419 },
    {        0.00000000003,        0.38599144893,    51639.00177105299 },
    {        0.00000000002,        1.40074676993,   104344.49901929598 },
    {        0.00000000002,        0.51392978593,    63498.47038145279 },
    {        0.00000000002,        2.78225137127,    50593.84693486539 },
    {        0.00000000002,        1.64621651211,    72936.23331633979 },
    {        0.00000000003,        5.96023706521,    19804.82729158280 },
    {        0.00000000002,        1.34569479881,   131548.89425996438 },
    {        0.00000000002,        4.53808407131,    52595.29092702359 },
    {        0.00000000002,        1.80494920501,   110634.68841628819 },
    {        0.00000000002,        2.69270456478,    79330.20490191258 },
    {        0.00000000002,        0.70786002104,    52643.77127350280 },
    {        0.00000000002,        5.42134269606,   102232.84870591838 },
    {        0.00000000003,        4.62281494277,    26941.09952332620 },
    {        0.00000000002,        3.87566264385,   130446.62925487179 },
    {        0.00000000002,        0.50212033869,   130459.18546877075 },
    {        0.00000000002,        3.32954668287,   170049.17029103660 },
    {        0.00000000002,        3.32826941964,    52609.51802102519 },
    {        0.00000000002,        1.81888146102,   123668.80510662538 },
    {        0.00000000002,        1.88539548859,   183145.01295611399 },
    {        0.00000000002,        5.60036800049,    76667.52298243798 },
    {        0.00000000002,        2.38004834270,   207643.84320240439 },
    {        0.00000000003,        5.59960600075,   119116.85160956658 },
    {        0.00000000002,        0.66616627126,     7994.52844202420 },
    {        0.00000000002,        6.13884922945,    97112.93697469679 },
    {        0.00000000002,        6.15194762770,   130652.81480330898 },
    {        0.00000000002,        3.41632104466,    26237.46633870879 },
    {        0.00000000002,        3.37420001521,    89586.37352302698 },
    {        0.00000000003,        6.22021545847,    51543.02254383520 },
    {        0.00000000002,        4.70019386461,    54294.57014352679 },
    {        0.00000000002,        3.55423380171,    26610.48055966799 },
    {        0.00000000002,        2.08199940627,   156100.82065856917 },
    {        0.00000000002,        1.89771335613,    78213.71280281838 },
    {        0.00000000002,        2.38063752275,   157483.01859105378 },
    {        0.00000000002,        0.60609897326,   104347.73123093879 },
    {        0.00000000002,        3.06733001438,    27154.39861876420 },
    {        0.00000000002,        4.30652780573,    55503.94193942859 },
    {        0.00000000002,        3.61289373324,   105940.68546158058 },
    {        0.00000000002,        1.33899945209,    80382.47328510099 },
    {        0.00000000002,        4.35432942939,   130432.40216087017 },
    {        0.00000000002,        5.52246085185,   129387.24732468258 },
    {        0.00000000002,        3.93624681676,   104466.05185498200 },
    {        0.00000000002,        1.66120849950,    77410.51304297059 },
    {        0.00000000002,        2.83496672989,   154938.34595416137 },
    {        0.00000000002,        3.23031513148,   104778.21075717278 },
    {        0.00000000002,        1.99889615003,    52712.61079524379 },
    {        0.00000000002,        4.87996577249,   103932.12792242158 },
    {        0.00000000002,        2.17758238884,   104991.50985261079 },
    {        0.00000000002,        4.59207105340,   156507.74908854539 },
    {        0.00000000002,        3.45973208971,   130435.63437251298 },
    {        0.00000000002,        1.36100413352,   103711.71527998279 },
    {        0.00000000002,        5.69915132155,    95247.70557217918 },
    {        0.00000000002,        2.14140115476,   198489.93958638259 },
    {        0.00000000002,        2.54868088019,   443494.35340676131 },
    {        0.00000000002,        4.27290052093,    99024.13645791399 },
    {        0.00000000002,        5.27508077587,   116917.76426627958 },
    {        0.00000000002,        0.58370421848,   156534.53239644598 },
    {        0.00000000002,        5.06923503966,    44295.71712980940 },
    {        0.00000000002,        2.89478714851,   166740.70439565618 },
    {        0.00000000002,        3.46374286920,    68241.87214462319 },
    {        0.00000000001,        2.56009054796,    91919.56991589899 },
    {        0.00000000002,        5.33102101065,   233731.74634397859 },
    {        0.00000000001,        0.46871348267,    52698.38370124219 },
    {        0.00000000002,        0.23345180862,    53228.07466633679 },
    {        0.00000000001,        1.21219589371,   229129.79622501557 },
    {        0.00000000002,        1.47208764937,   104237.17327761157 },
    {        0.00000000001,        0.46249615021,   259769.65286364855 },
    {        0.00000000001,        3.55153457062,   156547.08861034497 },
    {        0.00000000002,        3.25214023282,    79315.97780791098 },
    {        0.00000000001,        2.91709276484,   156740.71794488319 },
    {        0.00000000002,        2.16887025342,    25881.71759313700 },
    {        0.00000000002,        5.43830783518,    35191.81013569180 },
    {        0.00000000002,        0.32055505807,    26294.08869001139 },
    {        0.00000000002,        1.32421298950,   230239.17477710897 },
    {        0.00000000001,        2.75656573698,   123200.84011627098 },
    {        0.00000000001,        1.05519423362,   154308.66174525840 },
    {        0.00000000001,        2.22706049163,   155475.15046625677 },
    {        0.00000000001,        1.21096629701,    26507.38778544939 },
    {        0.00000000001,        4.95426332586,    78800.51393681798 },
    {        0.00000000002,        1.36857099558,    53029.00266490040 },
    {        0.00000000001,        5.86456165793,    26724.89941359840 },
    {        0.00000000002,        5.28892226268,   131395.11544947958 },
    {        0.00000000001,        4.79216778650,   149756.70824819960 },
    {        0.00000000001,        3.20732407966,   137678.19129947099 },
    {        0.00000000001,        2.96638995325,    78786.28684281638 },
    {        0.00000000001,        4.91638002448,    24864.08530079559 },
    {        0.00000000001,        6.14910679680,    53242.30176033840 },
    {        0.00000000001,        6.14706636431,   181659.72224941078 },
    {        0.00000000001,        5.29736708948,   171292.65789271498 },
    {        0.00000000001,        5.77778470867,    65831.66677432480 },
    {        0.00000000001,        1.66692640402,   156531.30018480320 },
    {        0.00000000001,        4.19906782881,    53399.62412392700 },
    {        0.00000000001,        3.61349005003,    25551.09862947879 },
    {        0.00000000001,        4.94658254745,   182188.72380014337 },
    {        0.00000000001,        4.73509857811,    78149.27013603736 },
    {        0.00000000001,        0.21694564359,   156523.53751408719 },
    {        0.00000000001,        2.70464721604,   155460.92337225520 },
    {        0.00000000001,        6.01917565203,    87367.61641884019 },
    {        0.00000000001,        0.58964848166,    25934.12433108940 },
    {        0.00000000001,        0.69637868067,      419.48464387520 },
    {        0.00000000001,        1.58879127003,   105307.21230790539 },
    {        0.00000000001,        2.21200704215,    29428.51556827400 },
    {        0.00000000001,        1.88555101140,   143005.66740785379 },
    {        0.00000000001,        5.87073148723,        7.11354700080 },
    {        0.00000000001,        0.98630669719,    80596.90581759460 },
    {        0.00000000001,        0.32313752445,   111590.28815789679 },
    {        0.00000000001,        3.57120770556,    27684.08958385880 },
    {        0.00000000001,        5.31615183025,    25619.93815121980 },
    {        0.00000000001,        4.96737024920,   100909.03762133139 },
    {        0.00000000001,        1.98399612179,    70383.62027138360 },
    {        0.00000000001,        5.76820474986,   181026.24909573558 },
    {        0.00000000001,        2.17985292285,   106570.36967048359 },
    {        0.00000000001,        0.33589246093,    51528.79544983359 },
    {        0.00000000001,        2.30304143694,   102755.42612401219 },
    {        0.00000000001,        2.60522245307,      632.78373931320 },
    {        0.00000000001,        2.12902252288,    85502.38501632259 },
    {        0.00000000001,        5.48182021001,    78903.60671103658 },
    {        0.00000000001,        5.81614944128,       19.66976089979 },
    {        0.00000000001,        0.28057913034,    25450.90686955000 },
    {        0.00000000001,        0.23368034121,   187167.27548807819 },
    {        0.00000000001,        5.27687922240,   183570.92173262799 },
    {        0.00000000001,        0.55131065335,    26137.89976347840 },
    {        0.00000000001,        6.11149192748,   196137.07343261078 },
    {        0.00000000001,        5.21786187975,    36109.74042167360 },
    {        0.00000000001,        5.69487692949,    25565.32572348040 },
    {        0.00000000001,        0.66528112216,    42153.96900304900 },
    {        0.00000000001,        1.31014433957,   128320.75184749259 },
    {        0.00000000001,        0.30267346719,   132028.58860315479 },
    {        0.00000000001,        5.29138018584,   208173.53416749899 },
    {        0.00000000001,        5.56586628815,   183674.70392120857 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L3_MERCURY[] =
  {
    {        0.00000169496,        3.20221586818,    26087.90314157420 },
    {        0.00000155725,        6.23814315369,    52175.80628314840 },
    {        0.00000090555,        2.96712953186,    78263.70942472259 },
    {        0.00000042769,        6.01870391709,   104351.61256629678 },
    {        0.00000017760,        2.78750960026,   130439.51570787099 },
    {        0.00000006774,        5.82756176337,   156527.41884944518 },
    {        0.00000003486,        0.00000000000,        0.00000000000 },
    {        0.00000002435,        2.56963684564,   182615.32199101939 },
    {        0.00000000838,        5.58026725886,   208703.22513259359 },
    {        0.00000000279,        2.29386373858,   234791.12827416777 },
    {        0.00000000117,        3.16711243445,    24978.52458948080 },
    {        0.00000000091,        5.27797094839,   260879.03141574195 },
    {        0.00000000077,        6.24118948880,    51066.42773105500 },
    {        0.00000000059,        6.13122855286,    27197.28169366760 },
    {        0.00000000029,        1.96984426125,   286966.93455731618 },
    {        0.00000000038,        3.01313871348,    77154.33087262919 },
    {        0.00000000026,        3.07099212705,    53285.18483524180 },
    {        0.00000000016,        6.05402853609,   103242.23401420339 },
    {        0.00000000009,        0.58761405280,    20426.57109242200 },
    {        0.00000000008,        4.91858279103,   313054.83769889036 },
    {        0.00000000008,        3.65754213465,    46514.47423399620 },
    {        0.00000000007,        5.80852764666,    25132.30339996560 },
    {        0.00000000006,        2.80645454084,   129330.13715577759 },
    {        0.00000000005,        0.42790495669,    72602.37737557039 },
    {        0.00000000005,        1.38013899810,    26617.59410666880 },
    {        0.00000000006,        6.21321941701,    79373.08797681599 },
    {        0.00000000004,        2.57269000597,    51220.20654153979 },
    {        0.00000000004,        4.35146183280,    52705.49724824299 },
    {        0.00000000004,        3.23908636136,    23869.14603738740 },
    {        0.00000000004,        3.11816146331,    27043.50288318280 },
    {        0.00000000003,        5.65361012794,    30639.85663863300 },
    {        0.00000000003,        6.24088426744,    50586.73338786459 },
    {        0.00000000003,        4.71793214076,    27147.28507176339 },
    {        0.00000000003,        1.56503904911,   339142.74084046460 },
    {        0.00000000003,        4.40817083916,    14765.23904326980 },
    {        0.00000000003,        1.36263896645,    53235.18821333759 },
    {        0.00000000003,        2.55349503543,    56727.75978020720 },
    {        0.00000000002,        1.57411546608,    25558.21217647960 },
    {        0.00000000002,        5.82296227978,   155418.04029735178 },
    {        0.00000000003,        6.04743500801,    28306.66024576099 },
    {        0.00000000002,        3.56825195678,    78267.59076008058 },
    {        0.00000000002,        0.67646904345,    19317.19254032860 },
    {        0.00000000002,        0.80653697687,   155468.03691925600 },
    {        0.00000000002,        2.56516361004,   181505.94343892598 },
    {        0.00000000002,        0.04355188842,    49957.04917896160 },
    {        0.00000000002,        5.46649056139,   110012.94461544899 },
    {        0.00000000002,        4.44350451862,    79323.09135491178 },
    {        0.00000000002,        2.80769531030,    83925.04147387479 },
    {        0.00000000002,        0.87954898432,   103292.23063610759 },
    {        0.00000000002,        2.87146263097,    54394.56338733519 },
    {        0.00000000002,        4.72727579494,   365230.64398203877 },
    {        0.00000000002,        3.49243086623,    98690.28051714458 },
    {        0.00000000002,        0.13491885197,    57837.13833230060 },
    {        0.00000000001,        5.93623181057,     4551.95349705880 },
    {        0.00000000001,        0.68876175865,    51116.42435295920 },
    {        0.00000000001,        2.22622522074,   136100.84775702318 },
    {        0.00000000002,        2.02950867590,    78259.82808936459 },
    {        0.00000000002,        2.76244130660,    79219.30916633119 },
    {        0.00000000002,        1.75174914928,    77734.01845962799 },
    {        0.00000000002,        5.53512457012,    82815.66292178139 },
    {        0.00000000001,        5.85249550691,    80482.46652890938 },
    {        0.00000000001,        3.81987601159,   181555.94006083018 },
    {        0.00000000002,        4.40970001516,   103821.92160120218 },
    {        0.00000000001,        5.22138031517,   162188.75089859738 },
    {        0.00000000001,        3.73642972825,    77204.32749453338 },
    {        0.00000000002,        0.49707359743,    71492.99882347698 },
    {        0.00000000001,        1.38660659950,    40853.14218484400 },
    {        0.00000000001,        2.95221907246,    76674.63652943878 },
    {        0.00000000002,        1.29222474765,   105410.99449648599 },
    {        0.00000000002,        2.25962890984,   108903.56606335558 },
    {        0.00000000002,        1.16550489633,    78793.40038981718 },
    {        0.00000000001,        0.36415945149,   125887.56221081219 },
    {        0.00000000002,        4.08854513089,   104881.30353139139 },
    {        0.00000000001,        3.08110954685,    76044.95232053580 },
    {        0.00000000001,        3.03258348439,    78256.59587772179 },
    {        0.00000000001,        3.77632466126,    64741.95798313119 },
    {        0.00000000002,        3.64167234446,    45405.09568190280 },
    {        0.00000000001,        4.69654806259,    88476.99497093359 },
    {        0.00000000001,        2.51395607415,    55618.38122811380 },
    {        0.00000000001,        1.62785445812,    52389.10537858640 },
    {        0.00000000001,        1.72317308732,    62389.09182935939 },
    {        0.00000000001,        0.02541044713,    52168.69273614759 },
    {        0.00000000001,        5.45367779477,    77308.10968311399 },
    {        0.00000000001,        4.37214899281,    26301.20223701220 },
    {        0.00000000001,        2.06676015946,   103396.01282468818 },
    {        0.00000000002,        1.72366900008,    63498.47038145279 },
    {        0.00000000001,        4.26409824775,    68050.42387851159 },
    {        0.00000000001,        1.13384949570,    73711.75592766379 },
    {        0.00000000001,        2.59146532084,    52290.24557183361 },
    {        0.00000000001,        0.57771259518,    52179.68761850640 },
    {        0.00000000001,        6.05911204257,   102132.85546210999 },
    {        0.00000000002,        5.08007258698,    51646.11531805379 },
    {        0.00000000001,        0.89506331110,    43071.89928903080 },
    {        0.00000000001,        2.32962526981,    32858.61374281979 },
    {        0.00000000001,        5.33639855920,    78283.37918562238 },
    {        0.00000000001,        0.21578309169,   124778.18365871879 },
    {        0.00000000001,        0.97190581639,    94138.32702008578 },
    {        0.00000000001,        3.63988900749,    99799.65906923798 },
    {        0.00000000001,        0.31092877030,    78244.03966382280 },
    {        0.00000000001,        0.88240174201,    38654.05484155699 },
    {        0.00000000001,        5.51352755464,    81706.28436968799 },
    {        0.00000000001,        4.29818815666,    25874.60404613620 },
    {        0.00000000001,        3.25355593666,   150866.08680029298 },
    {        0.00000000001,        5.83277482201,    26202.34243025941 },
    {        0.00000000001,        5.56400642740,    50057.04242277000 },
    {        0.00000000001,        4.10855423897,   129380.13377768178 },
    {        0.00000000001,        3.53026214100,    52156.13652224860 },
    {        0.00000000001,        4.62648721501,    78477.00852016058 },
    {        0.00000000001,        4.93260671151,    37410.56723987860 },
    {        0.00000000001,        6.23775561663,    53131.40602475700 },
    {        0.00000000001,        4.28468625710,    66941.04532641819 },
    {        0.00000000001,        2.44665953571,    52195.47604404819 },
    {        0.00000000001,        5.05730214410,   129483.91596626239 },
    {        0.00000000001,        3.01159658549,   105460.99111839019 },
    {        0.00000000001,        5.36784540343,    26107.57290247399 },
    {        0.00000000001,        3.37141132304,    48733.23133818299 },
    {        0.00000000001,        2.29657920020,    51535.90899683439 },
    {        0.00000000001,        5.38152228973,    52171.92494779040 },
    {        0.00000000001,        4.95743222375,    35191.81013569180 },
    {        0.00000000001,        0.72632545829,   130969.20667296558 },
    {        0.00000000001,        5.86529301658,   102762.53967101299 },
    {        0.00000000001,        2.57174065725,    26095.01668857500 },
    {        0.00000000001,        1.32180905788,   391318.54712361295 },
    {        0.00000000001,        3.24565029816,    26080.78959457339 },
    {        0.00000000001,        4.99798388110,    36301.18868778519 },
    {        0.00000000001,        3.27865480193,     2118.76386037840 },
    {        0.00000000001,        2.32578126782,    78270.82297172339 },
    {        0.00000000001,        2.58055096142,    53764.87917843220 },
    {        0.00000000001,        5.70846453783,    58946.51688439399 },
    {        0.00000000001,        0.94894417845,    93028.94846799239 },
    {        0.00000000001,        1.66220417885,    52602.40447402440 },
    {        0.00000000001,        4.44449056230,   417406.45026518719 },
    {        0.00000000001,        6.15060120914,    27676.97603685800 },
    {        0.00000000001,        0.21740755726,    52061.36699446317 },
    {        0.00000000001,        4.14022222533,    25028.52121138500 },
    {        0.00000000001,        5.30484938123,    79852.78232000639 },
    {        0.00000000001,        0.35499536460,    90829.86112470538 },
    {        0.00000000001,        5.28585833455,    29530.47808653960 },
    {        0.00000000001,        1.83471944738,   188276.65404017159 },
    {        0.00000000001,        3.40823920724,    25973.46385288896 },
    {        0.00000000001,        2.06905416268,   104371.28232719658 },
    {        0.00000000001,        0.22297971328,   104355.49390165479 },
    {        0.00000000001,        2.52348712557,   106570.36967048359 },
    {        0.00000000001,        5.16350389418,    26514.50133245020 },
    {        0.00000000001,        4.60303527476,    78690.30761559859 },
    {        0.00000000001,        5.48255968908,   207593.84658050019 },
    {        0.00000000001,        5.91676661035,   104344.49901929598 },
    {        0.00000000001,        5.79807025509,    52182.91983014920 },
    {        0.00000000001,        0.77021074284,   155997.72788435058 },
    {        0.00000000001,        4.00131880946,   120226.23016165999 },
    {        0.00000000001,        5.24158680760,    11322.66409830440 },
    {        0.00000000001,        3.99128397668,     5661.33204915220 },
    {        0.00000000000,        3.20297505882,    21535.94964451540 },
    {        0.00000000001,        4.13603433748,     1109.37855209340 },
    {        0.00000000001,        3.31920881622,    22645.32819660879 },
    {        0.00000000001,        5.42291311668,   105307.21230790539 },
    {        0.00000000000,        5.99626390068,   131548.89425996438 },
    {        0.00000000000,        1.73722721022,    13521.75144159140 },
    {        0.00000000001,        3.35669906644,   104331.94280539699 },
    {        0.00000000000,        1.63336362157,     9103.90699411760 },
    {        0.00000000000,        2.95763935965,    54294.57014352679 },
    {        0.00000000000,        3.34933555413,    24498.83024629040 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L4_MERCURY[] =
  {
    {        0.00000002671,        4.76418299344,    52175.80628314840 },
    {        0.00000002079,        2.01782765964,    26087.90314157420 },
    {        0.00000002071,        1.47603650163,    78263.70942472259 },
    {        0.00000001248,        4.50170414847,   104351.61256629678 },
    {        0.00000000641,        1.26049541246,   130439.51570787099 },
    {        0.00000000293,        4.30408398706,   156527.41884944518 },
    {        0.00000000124,        1.05833043353,   182615.32199101939 },
    {        0.00000000049,        4.08707632054,   208703.22513259359 },
    {        0.00000000047,        3.14159265359,        0.00000000000 },
    {        0.00000000018,        0.82373729208,   234791.12827416777 },
    {        0.00000000006,        3.82469204536,   260879.03141574195 },
    {        0.00000000002,        0.50074116156,   286966.93455731618 },
    {        0.00000000002,        4.68954881838,    51066.42773105500 },
    {        0.00000000001,        1.63693177813,    24978.52458948080 },
    {        0.00000000001,        3.50676934033,   313054.83769889036 },
    {        0.00000000001,        4.59925122335,    27197.28169366760 },
    {        0.00000000001,        4.34568926758,    79373.08797681599 },
    {        0.00000000001,        1.32214662513,    53285.18483524180 },
    {        0.00000000001,        1.23275471446,   129330.13715577759 },
    {        0.00000000001,        1.52702783547,    77154.33087262919 },
    {        0.00000000001,        4.47013011557,   103242.23401420339 },
    {        0.00000000001,        0.25254465674,   339142.74084046460 },
    {        0.00000000000,        4.19908374167,   155418.04029735178 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L5_MERCURY[] =
  {
    {        0.00000000039,        6.22596606829,    78263.70942472259 },
    {        0.00000000035,        3.08442751462,    52175.80628314840 },
    {        0.00000000036,        5.58268731752,    26087.90314157420 },
    {        0.00000000030,        2.98600396234,   104351.61256629678 },
    {        0.00000000019,        6.02016521976,   130439.51570787099 },
    {        0.00000000010,        2.77948950109,   156527.41884944518 },
    {        0.00000000005,        5.82587725191,   182615.32199101939 },
    {        0.00000000002,        2.57971347645,   208703.22513259359 },
    {        0.00000000001,        5.62474344959,   234791.12827416777 },
    {        0.00000000001,        2.30011142231,   260879.03141574195 },
    {        0.00000000000,        5.32570213434,   286966.93455731618 },
    {        0.00000000000,        0.00000000000,        0.00000000000 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B0_MERCURY[] =
  {
    {        0.11737528961,        1.98357498767,    26087.90314157420 },
    {        0.02388076996,        5.03738959686,    52175.80628314840 },
    {        0.01222839532,        3.14159265359,        0.00000000000 },
    {        0.00543251810,        1.79644363964,    78263.70942472259 },
    {        0.00129778770,        4.83232503958,   104351.61256629678 },
    {        0.00031866927,        1.58088495658,   130439.51570787099 },
    {        0.00007963301,        4.60972126127,   156527.41884944518 },
    {        0.00002014189,        1.35324164377,   182615.32199101939 },
    {        0.00000513953,        4.37835406663,   208703.22513259359 },
    {        0.00000207674,        4.91772567908,    27197.28169366760 },
    {        0.00000208584,        2.02020295489,    24978.52458948080 },
    {        0.00000132013,        1.11908482553,   234791.12827416777 },
    {        0.00000100454,        5.65684757892,    20426.57109242200 },
    {        0.00000121395,        1.81271747279,    53285.18483524180 },
    {        0.00000091566,        2.28163127292,    25028.52121138500 },
    {        0.00000099214,        0.09391887897,    51116.42435295920 },
    {        0.00000094574,        1.24184920920,    31749.23519072640 },
    {        0.00000078785,        4.40725881159,    57837.13833230060 },
    {        0.00000077747,        0.52557074433,     1059.38193018920 },
    {        0.00000084264,        5.08510405853,    51066.42773105500 },
    {        0.00000049948,        3.49752943761,     5661.33204915220 },
    {        0.00000046454,        3.23739220729,    77204.32749453338 },
    {        0.00000044767,        4.87849798560,    79373.08797681599 },
    {        0.00000040766,        2.46558335253,    46514.47423399620 },
    {        0.00000037378,        4.45768804232,     4551.95349705880 },
    {        0.00000034082,        4.14209218714,   260879.03141574195 },
    {        0.00000035911,        1.09057337889,     1109.37855209340 },
    {        0.00000031953,        1.18516370205,    83925.04147387479 },
    {        0.00000030954,        3.50327936487,    21535.94964451540 },
    {        0.00000031808,        2.41474596045,    47623.85278608960 },
    {        0.00000028691,        1.84828593103,    77154.33087262919 },
    {        0.00000025765,        2.77593431876,    27043.50288318280 },
    {        0.00000025199,        3.59062253553,    27147.28507176339 },
    {        0.00000020244,        3.06833786595,    51646.11531805379 },
    {        0.00000018591,        5.58427343534,    73711.75592766379 },
    {        0.00000016971,        0.02791235969,   103292.23063610759 },
    {        0.00000020099,        4.06592941642,    25132.30339996560 },
    {        0.00000017002,        6.13739539823,    41962.52073693740 },
    {        0.00000014984,        1.64717988399,   105460.99111839019 },
    {        0.00000014186,        0.33074004324,    10213.28554621100 },
    {        0.00000015577,        6.07693636260,    53131.40602475700 },
    {        0.00000015795,        3.79629550117,      529.69096509460 },
    {        0.00000014011,        5.52786584585,    72602.37737557039 },
    {        0.00000012309,        3.16626255554,    14765.23904326980 },
    {        0.00000011261,        0.11326489831,    13521.75144159140 },
    {        0.00000012448,        4.05109307874,    39609.65458316560 },
    {        0.00000013044,        3.48016460676,    37410.56723987860 },
    {        0.00000011042,        4.23192795686,   110012.94461544899 },
    {        0.00000011152,        0.55658540702,    63498.47038145279 },
    {        0.00000010717,        1.53686088392,    25661.30495069820 },
    {        0.00000010213,        2.87881154880,    12566.15169998280 },
    {        0.00000009924,        0.94824538375,    65697.55772473979 },
    {        0.00000011047,        5.79741513221,    51749.20809227239 },
    {        0.00000010460,        5.82962192197,    50586.73338786459 },
    {        0.00000009774,        1.66272232331,    24498.83024629040 },
    {        0.00000009412,        1.82364862409,    15874.61759536320 },
    {        0.00000012866,        4.81650992216,    30639.85663863300 },
    {        0.00000009123,        4.88604621694,   103242.23401420339 },
    {        0.00000009011,        1.04262054312,      426.59819087600 },
    {        0.00000008735,        3.04135873601,    68050.42387851159 },
    {        0.00000008491,        1.05130636798,     1589.07289528380 },
    {        0.00000008835,        0.88128578222,   286966.93455731618 },
    {        0.00000008823,        5.81343394292,    11322.66409830440 },
    {        0.00000008196,        0.84015152502,    51220.20654153979 },
    {        0.00000007640,        3.43583985772,    36301.18868778519 },
    {        0.00000009175,        6.16060208369,    77734.01845962799 },
    {        0.00000008897,        0.39691887001,    53235.18821333759 },
    {        0.00000007253,        2.37180881419,    99799.65906923798 },
    {        0.00000007104,        5.73556965976,    26617.59410666880 },
    {        0.00000008322,        5.27157093377,    25558.21217647960 },
    {        0.00000006578,        2.66741919711,    52705.49724824299 },
    {        0.00000005825,        6.25072209775,    33326.57873317420 },
    {        0.00000005625,        3.08030235705,   129380.13377768178 },
    {        0.00000005295,        1.35863384912,    45892.73043315699 },
    {        0.00000005116,        2.67577088825,    76674.63652943878 },
    {        0.00000005035,        2.66615253453,    77837.11123384659 },
    {        0.00000004762,        4.68983281649,   131548.89425996438 },
    {        0.00000005714,        2.87338979816,    79219.30916633119 },
    {        0.00000005602,        5.37191138944,      955.59974160860 },
    {        0.00000004965,        3.47619928213,    59414.48187474840 },
    {        0.00000005468,        1.43781628125,    56727.75978020720 },
    {        0.00000004080,        4.01668024064,    91785.46086631398 },
    {        0.00000003971,        5.44452628396,     6283.07584999140 },
    {        0.00000004063,        5.64286268741,    26068.23338067440 },
    {        0.00000003878,        3.60888347246,    89586.37352302698 },
    {        0.00000004047,        5.95237490666,    38654.05484155699 },
    {        0.00000004064,        1.46277908490,    26107.57290247399 },
    {        0.00000003681,        0.47366868505,    62389.09182935939 },
    {        0.00000004247,        6.23163524997,    40853.14218484400 },
    {        0.00000003694,        2.75543299806,     7238.67559160000 },
    {        0.00000003348,        5.91870267340,    43071.89928903080 },
    {        0.00000004475,        2.28938990458,    98690.28051714458 },
    {        0.00000003115,        0.74944300245,    32858.61374281979 },
    {        0.00000003100,        3.35203539679,    19804.82729158280 },
    {        0.00000003215,        6.11377023104,    94138.32702008578 },
    {        0.00000003558,        0.98821355044,   136100.84775702318 },
    {        0.00000002908,        4.06284717343,    26514.50133245020 },
    {        0.00000002799,        1.63603233307,   129330.13715577759 },
    {        0.00000002800,        3.88358973835,    77308.10968311399 },
    {        0.00000002680,        4.48236519244,    71980.63357473118 },
    {        0.00000002767,        4.12702608202,    27676.97603685800 },
    {        0.00000003285,        0.39398351530,    18849.22754997420 },
    {        0.00000003290,        2.93489975877,   103821.92160120218 },
    {        0.00000003048,        0.67698956234,     9103.90699411760 },
    {        0.00000002484,        5.42344230141,   125887.56221081219 },
    {        0.00000002663,        1.70279606207,    16983.99614745660 },
    {        0.00000002791,        2.76842339360,    26091.78447693220 },
    {        0.00000002747,        5.75135690787,    19317.19254032860 },
    {        0.00000002676,        5.73637768264,    78793.40038981718 },
    {        0.00000002710,        4.31274423123,    58946.51688439399 },
    {        0.00000002877,        3.45421450693,    79323.09135491178 },
    {        0.00000002791,        4.34021895901,    26084.02180621620 },
    {        0.00000002097,        2.09090395873,    23869.14603738740 },
    {        0.00000002297,        3.90330505329,   313054.83769889036 },
    {        0.00000002535,        3.05171357512,    69159.80243060499 },
    {        0.00000002211,        4.65120829674,    28306.66024576099 },
    {        0.00000001912,        5.78419180084,   102762.53967101299 },
    {        0.00000002265,        3.34480087923,    22645.32819660879 },
    {        0.00000001817,        5.74263950195,   103925.01437542078 },
    {        0.00000001961,        5.94579007147,   105307.21230790539 },
    {        0.00000001922,        4.43763750052,    82815.66292178139 },
    {        0.00000001667,        4.51885560989,    52195.47604404819 },
    {        0.00000001771,        6.12283446589,   155468.03691925600 },
    {        0.00000001515,        1.72460827268,    54394.56338733519 },
    {        0.00000001585,        0.23900607949,    85502.38501632259 },
    {        0.00000001477,        4.73358609259,    29530.47808653960 },
    {        0.00000001470,        1.44576864221,   157636.79740153858 },
    {        0.00000001652,        2.41345125134,    52156.13652224860 },
    {        0.00000001377,        0.59981275344,    26080.78959457339 },
    {        0.00000001430,        0.78425681154,   117873.36400788819 },
    {        0.00000001680,        3.42686804945,     6770.71060124560 },
    {        0.00000001604,        4.52048713019,     3442.57494496540 },
    {        0.00000001345,        0.31855634174,    51535.90899683439 },
    {        0.00000001357,        3.17346823148,    25874.60404613620 },
    {        0.00000001250,        2.33381266189,    25448.00585526019 },
    {        0.00000001196,        2.09281738041,    48733.23133818299 },
    {        0.00000001195,        0.36393992281,   115674.27666460119 },
    {        0.00000001443,        2.73206411694,    64741.95798313119 },
    {        0.00000001375,        5.32685986405,   124778.18365871879 },
    {        0.00000001325,        3.57822655677,    88476.99497093359 },
    {        0.00000001115,        0.26093704362,      639.89728631400 },
    {        0.00000001094,        2.22756345548,    32370.97899156560 },
    {        0.00000001433,        3.03965823547,    66941.04532641819 },
    {        0.00000001370,        3.45925392964,    44937.13069154840 },
    {        0.00000001003,        0.28767648474,    25934.12433108940 },
    {        0.00000001136,        1.11056761130,    52171.92494779040 },
    {        0.00000000999,        0.52453704666,    26241.68195205900 },
    {        0.00000001033,        2.55559915330,    45405.09568190280 },
    {        0.00000001096,        5.01258599679,        7.11354700080 },
    {        0.00000001146,        5.40632535415,      213.29909543800 },
    {        0.00000001080,        5.97872394252,   129909.82474277639 },
    {        0.00000000988,        1.25836520092,    98068.53671630539 },
    {        0.00000001062,        2.88170970708,   120226.23016165999 },
    {        0.00000000892,        0.63718796304,   103396.01282468818 },
    {        0.00000001041,        0.89366857677,    52602.40447402440 },
    {        0.00000000978,        0.93100566720,    53764.87917843220 },
    {        0.00000001136,        5.82021916863,    52179.68761850640 },
    {        0.00000000838,        4.66564092179,   155418.04029735178 },
    {        0.00000000910,        5.53570859596,    58458.88213313979 },
    {        0.00000000834,        5.16157375656,    49957.04917896160 },
    {        0.00000001100,        4.02186957760,   162188.75089859738 },
    {        0.00000000805,        1.03424867259,    23969.13928119580 },
    {        0.00000000835,        5.28207308572,    50057.04242277000 },
    {        0.00000000891,        0.21549052344,   105410.99449648599 },
    {        0.00000000743,        0.86942889867,    52389.10537858640 },
    {        0.00000000783,        3.32305564501,    26301.20223701220 },
    {        0.00000000711,        1.57776037431,     2118.76386037840 },
    {        0.00000000801,        2.18307947662,   151975.46535238638 },
    {        0.00000000915,        1.71248761076,    51962.50718771040 },
    {        0.00000000832,        5.53504230089,    74821.13447975718 },
    {        0.00000000750,        2.16182593895,    52168.69273614759 },
    {        0.00000000923,        2.50216511819,   104881.30353139139 },
    {        0.00000000727,        6.05391736381,    95247.70557217918 },
    {        0.00000000640,        2.71757218637,   131395.11544947958 },
    {        0.00000000628,        1.43928263436,    55618.38122811380 },
    {        0.00000000622,        3.46096554268,    77623.81213840858 },
    {        0.00000000825,        1.00555394841,    85034.42002596818 },
    {        0.00000000611,        0.99681307094,     2218.75710418680 },
    {        0.00000000605,        4.68162394146,    52182.91983014920 },
    {        0.00000000646,        2.57909918586,   128850.44281258718 },
    {        0.00000000621,        1.16585050910,   108903.56606335558 },
    {        0.00000000651,        1.60040358652,    26095.01668857500 },
    {        0.00000000599,        2.51220320140,   130012.91751699499 },
    {        0.00000000570,        1.27723576108,    78283.37918562238 },
    {        0.00000000616,        2.88988928491,    52026.24308601380 },
    {        0.00000000553,        5.17653433760,    25938.33994443960 },
    {        0.00000000560,        3.32832430147,    51109.31080595839 },
    {        0.00000000538,        4.74589660911,    80482.46652890938 },
    {        0.00000000514,        5.52495100856,    25021.40766438420 },
    {        0.00000000512,        2.12028030770,    25035.63475838580 },
    {        0.00000000545,        1.31026218764,    26555.86813192860 },
    {        0.00000000475,        4.05388482000,      149.56319713460 },
    {        0.00000000464,        3.26227850989,   111590.28815789679 },
    {        0.00000000460,        5.34045473945,    46848.33017476560 },
    {        0.00000000550,        5.84636209826,    25619.93815121980 },
    {        0.00000000447,        3.57688662734,     1066.49547719000 },
    {        0.00000000550,        6.22076738343,    51123.53789995999 },
    {        0.00000000596,        0.64537969407,   339142.74084046460 },
    {        0.00000000484,        3.16179359489,    38519.94579197200 },
    {        0.00000000441,        0.67390934097,     1052.26838318840 },
    {        0.00000000477,        0.22612097814,    71025.03383312259 },
    {        0.00000000423,        2.08217197834,    76144.94556434419 },
    {        0.00000000418,        3.57900885312,    52329.58509363319 },
    {        0.00000000472,        3.35497952386,    35191.81013569180 },
    {        0.00000000441,        4.91198712765,    78050.41032928458 },
    {        0.00000000440,        4.47943362012,   183724.70054311279 },
    {        0.00000000435,        1.98195617971,    26094.53170047421 },
    {        0.00000000564,        5.45425629323,    78244.03966382280 },
    {        0.00000000540,        2.87640883368,   181555.94006083018 },
    {        0.00000000450,        6.09068205356,    93028.94846799239 },
    {        0.00000000462,        3.82441945925,   143961.26714946239 },
    {        0.00000000408,        3.34306652412,    52022.02747266360 },
    {        0.00000000412,        2.07642366233,   150866.08680029298 },
    {        0.00000000435,        5.12506127285,    26081.27458267419 },
    {        0.00000000409,        0.56814053300,    64607.84893354619 },
    {        0.00000000388,        4.16031676214,    78259.82808936459 },
    {        0.00000000393,        3.23714650276,    13655.86049117640 },
    {        0.00000000375,        5.33297139411,    26011.63707029860 },
    {        0.00000000467,        5.77560193533,    90829.86112470538 },
    {        0.00000000350,        5.62305509992,    71492.99882347698 },
    {        0.00000000352,        3.27694424296,    26727.80042788820 },
    {        0.00000000351,        3.39353257328,   141762.17980617538 },
    {        0.00000000390,        2.58789385607,    78267.59076008058 },
    {        0.00000000365,        3.19923510350,    52099.54021187280 },
    {        0.00000000433,        1.55191555585,    20760.42703319140 },
    {        0.00000000327,        5.69237369433,    12432.04265039780 },
    {        0.00000000339,        1.58087406629,    45494.58142974879 },
    {        0.00000000338,        2.73269880607,   155997.72788435058 },
    {        0.00000000315,        4.00042191791,    78477.00852016058 },
    {        0.00000000435,        0.36539433019,   114564.89811250778 },
    {        0.00000000344,        5.02598371077,    78256.59587772179 },
    {        0.00000000346,        4.14119753561,   111122.32316754239 },
    {        0.00000000286,        5.40508625698,     6681.22485339960 },
    {        0.00000000283,        3.65514316990,       76.26607127560 },
    {        0.00000000325,        4.30579452294,   124156.43985787958 },
    {        0.00000000364,        2.32783082897,    84546.78527471398 },
    {        0.00000000331,        0.77022299532,   188276.65404017159 },
    {        0.00000000267,        3.81782594348,    19406.67828817460 },
    {        0.00000000270,        6.02001495547,    78114.14622758799 },
    {        0.00000000273,        3.66893645163,   129483.91596626239 },
    {        0.00000000263,        0.18734818549,    77197.21394753258 },
    {        0.00000000268,        3.25183532034,   131498.89763806018 },
    {        0.00000000284,        1.93841351149,    76044.95232053580 },
    {        0.00000000295,        5.54100863182,   130969.20667296558 },
    {        0.00000000246,        1.45339450432,    78270.82297172339 },
    {        0.00000000259,        3.08233305443,    77211.44104153418 },
    {        0.00000000335,        5.92215647534,   146314.13330323418 },
    {        0.00000000253,        2.86398839801,   121335.60871375339 },
    {        0.00000000338,        3.95834695582,    78690.30761559859 },
    {        0.00000000317,        3.98389279162,    79852.78232000639 },
    {        0.00000000232,        4.66675132764,    28206.66700195260 },
    {        0.00000000247,        1.40502512052,   181505.94343892598 },
    {        0.00000000228,        0.25670025260,   103711.71527998279 },
    {        0.00000000219,        4.69778127839,    71582.48457132299 },
    {        0.00000000221,        4.46397767224,    81706.28436968799 },
    {        0.00000000254,        1.43722023804,     5327.47610838280 },
    {        0.00000000199,        5.76845937762,   157483.01859105378 },
    {        0.00000000253,        2.47477562856,    72936.23331633979 },
    {        0.00000000191,        4.17878596373,   134991.46920492980 },
    {        0.00000000246,        5.21482964733,   178063.36849396059 },
    {        0.00000000182,        4.31642421149,   104371.28232719658 },
    {        0.00000000206,        1.62001821938,   106570.36967048359 },
    {        0.00000000234,        2.18969474341,   100909.03762133139 },
    {        0.00000000176,        3.58295520082,    48835.19385644859 },
    {        0.00000000188,        2.58568213426,    51707.84129279399 },
    {        0.00000000177,        1.89452084301,    52169.17772424839 },
    {        0.00000000168,        3.01268585761,    23754.70674870219 },
    {        0.00000000222,        4.35554033541,    52643.77127350280 },
    {        0.00000000169,        5.25191713657,   102232.84870591838 },
    {        0.00000000188,        5.55461046577,   156100.82065856917 },
    {        0.00000000163,        1.72111046975,   104138.31347085879 },
    {        0.00000000204,        5.64364799554,   154938.34595416137 },
    {        0.00000000161,        0.06505273733,    78187.44335344699 },
    {        0.00000000155,        3.29528249467,    97112.93697469679 },
    {        0.00000000152,        1.66427224942,    25654.19140369739 },
    {        0.00000000179,        2.20391378287,   104331.94280539699 },
    {        0.00000000157,        5.91591630738,    51742.09454527159 },
    {        0.00000000176,        5.03398977770,    52182.43484204840 },
    {        0.00000000145,        0.34805544633,    78417.48823520739 },
    {        0.00000000151,        0.84018770177,    26237.46633870879 },
    {        0.00000000143,        0.36103472282,    27154.39861876420 },
    {        0.00000000142,        5.87483350318,    26037.90651966999 },
    {        0.00000000167,        4.43526495468,    25668.41849769900 },
    {        0.00000000137,        2.85270426804,   119116.85160956658 },
    {        0.00000000161,        5.91460332085,   207643.84320240439 },
    {        0.00000000130,        6.26916213189,   137678.19129947099 },
    {        0.00000000130,        0.93333784378,      433.71173787680 },
    {        0.00000000140,        1.22461009264,    26137.89976347840 },
    {        0.00000000144,        4.56299590276,      419.48464387520 },
    {        0.00000000145,        2.53286017990,   116917.76426627958 },
    {        0.00000000145,        3.74606623720,    27140.17152476259 },
    {        0.00000000155,        3.66242807884,   365230.64398203877 },
    {        0.00000000124,        0.92717268171,   104347.73123093879 },
    {        0.00000000140,        0.11273697711,    78109.93061423779 },
    {        0.00000000126,        1.13792891192,    51322.60990139639 },
    {        0.00000000146,        3.25663561950,     3340.61242669980 },
    {        0.00000000121,        5.11057976962,   176953.98994186718 },
    {        0.00000000125,        5.63667517623,   104355.49390165479 },
    {        0.00000000155,        2.30838615600,    51756.32163927320 },
    {        0.00000000136,        3.42158321317,   140652.80125408198 },
    {        0.00000000115,        6.25287963576,    39743.76363275060 },
    {        0.00000000113,        0.79347022340,     7994.52844202420 },
    {        0.00000000126,        0.12477471678,    52815.70356946240 },
    {        0.00000000121,        0.68062705120,    50483.64061364600 },
    {        0.00000000118,        0.87289599411,   137210.22630911658 },
    {        0.00000000112,        2.41400200785,    97580.90196505119 },
    {        0.00000000130,        1.22636157340,   209812.60368468694 },
    {        0.00000000110,        3.15710759789,    25234.70675982219 },
    {        0.00000000109,        2.85474641096,    24395.73747207180 },
    {        0.00000000108,        5.73546302458,      853.19638175200 },
    {        0.00000000141,        4.76861590569,    28421.09953444620 },
    {        0.00000000143,        0.57981900049,   170049.17029103660 },
    {        0.00000000127,        5.39584845133,   110634.68841628819 },
    {        0.00000000110,        0.79295057311,   104564.91166173479 },
    {        0.00000000102,        5.77868711823,   182085.63102592478 },
    {        0.00000000108,        0.78119056015,    42153.96900304900 },
    {        0.00000000101,        6.24154568899,     1692.16566950240 },
    {        0.00000000125,        1.72826454224,   104344.49901929598 },
    {        0.00000000112,        1.53710769184,    18093.37469954999 },
    {        0.00000000100,        6.03680991052,   147423.51185532758 },
    {        0.00000000102,        2.16764418605,    32769.12799497380 },
    {        0.00000000127,        5.69553247654,    44181.27784112419 },
    {        0.00000000096,        2.81661028351,   104202.04936916218 },
    {        0.00000000095,        6.16381857353,   103299.34418310839 },
    {        0.00000000095,        3.08577324660,    70269.18098269838 },
    {        0.00000000096,        3.26683160108,   103285.11708910679 },
    {        0.00000000101,        1.49873307582,    40565.25432477420 },
    {        0.00000000099,        0.12170167751,   167850.08294774959 },
    {        0.00000000099,        3.80889608656,   214364.55718174577 },
    {        0.00000000093,        3.27145572677,    90695.75207512039 },
    {        0.00000000104,        5.35399197115,   126996.94076290558 },
    {        0.00000000105,        0.73047337573,   104778.21075717278 },
    {        0.00000000089,        2.82729264680,    50579.61984086379 },
    {        0.00000000098,        0.55396763839,    33967.99229491319 },
    {        0.00000000087,        1.47914076091,    97670.38771289718 },
    {        0.00000000089,        0.41556188853,    26164.16921284980 },
    {        0.00000000117,        0.17847108292,    61279.71327726600 },
    {        0.00000000103,        2.68612271799,   172402.03644480839 },
    {        0.00000000091,        2.29372021338,   157057.10981453978 },
    {        0.00000000084,        4.31845216169,    60055.89543648739 },
    {        0.00000000085,        4.50689362891,   104358.72611329758 },
    {        0.00000000098,        0.75115343364,   105940.68546158058 },
    {        0.00000000082,        2.80073166731,    52101.02468458109 },
    {        0.00000000086,        0.38064985881,    74923.09699802278 },
    {        0.00000000077,        4.91622546328,    24491.71669928959 },
    {        0.00000000104,        6.08675041589,    10021.83728009940 },
    {        0.00000000094,        2.21717937515,    25973.46385288896 },
    {        0.00000000079,        4.63581240332,     2333.19639287200 },
    {        0.00000000076,        4.09099479123,     1596.18644228460 },
    {        0.00000000076,        0.07595547847,   157586.80077963436 },
    {        0.00000000089,        0.51924284800,    50593.84693486539 },
    {        0.00000000078,        5.85409167716,    18207.81398823521 },
    {        0.00000000083,        1.48349269554,    54294.57014352679 },
    {        0.00000000102,        1.11721130868,   150244.34299945380 },
    {        0.00000000081,        0.43636227439,   155571.81910783658 },
    {        0.00000000072,        2.77542766328,    77829.99768684579 },
    {        0.00000000098,        3.04610370668,    16066.06586147480 },
    {        0.00000000089,        3.91490438550,    68241.87214462319 },
    {        0.00000000076,        3.32866048942,   129799.61842155698 },
    {        0.00000000091,        4.99129744497,   102132.85546210999 },
    {        0.00000000088,        4.54427823805,    51543.02254383520 },
    {        0.00000000092,        4.88784734744,    26202.34243025941 },
    {        0.00000000066,        1.97294274713,      632.78373931320 },
    {        0.00000000066,        1.34878248252,    52808.59002246159 },
    {        0.00000000071,        1.21542275966,   107794.18751126219 },
    {        0.00000000088,        3.90645324859,       74.78159856730 },
    {        0.00000000076,        1.11687579908,    78731.67441507700 },
    {        0.00000000060,        4.94675806504,    78257.08086582259 },
    {        0.00000000069,        5.46700599210,    77844.22478084739 },
    {        0.00000000067,        4.25059971851,    14477.35118320000 },
    {        0.00000000060,        2.79968815396,    25863.55834587229 },
    {        0.00000000060,        4.24009349898,    52225.80290505260 },
    {        0.00000000059,        3.80960613484,    76571.54375522019 },
    {        0.00000000059,        5.90296243964,      103.09277421860 },
    {        0.00000000060,        5.62071455354,    77795.74443436819 },
    {        0.00000000069,        4.37177618753,   207593.84658050019 },
    {        0.00000000066,        0.49864122197,    51951.46148744649 },
    {        0.00000000058,        4.28165906216,    77410.51304297059 },
    {        0.00000000058,        1.63829215440,    51013.33157874059 },
    {        0.00000000066,        0.61355815218,    51639.00177105299 },
    {        0.00000000057,        3.15664991567,   104275.34649502118 },
    {        0.00000000058,        4.41184070176,    26720.68688088739 },
    {        0.00000000075,        0.13948969985,     1581.95934828300 },
    {        0.00000000057,        0.42010984372,    23439.44831610119 },
    {        0.00000000069,        6.03960082139,    29428.51556827400 },
    {        0.00000000055,        0.87572150774,   161079.37234650398 },
    {        0.00000000054,        2.10493067106,     2648.45482547300 },
    {        0.00000000070,        1.89517732514,   204151.27163553477 },
    {        0.00000000054,        3.73432597012,    24925.42843716640 },
    {        0.00000000055,        4.74357158199,    49527.35145767539 },
    {        0.00000000071,        2.67042805934,    24505.94379329119 },
    {        0.00000000057,        1.10423273567,   130459.18546877075 },
    {        0.00000000068,        5.29165355820,    26013.12154300690 },
    {        0.00000000054,        0.06015891365,    52072.71350892979 },
    {        0.00000000053,        0.06492319557,      536.80451209540 },
    {        0.00000000053,        5.00803045767,    25977.69682035479 },
    {        0.00000000052,        4.17449418547,    25131.61398560359 },
    {        0.00000000052,        3.31068956896,     7880.08915333899 },
    {        0.00000000070,        6.10736618856,    52278.89905736699 },
    {        0.00000000052,        0.17906201530,      224.34479570190 },
    {        0.00000000059,        1.97907742423,    51219.51712717779 },
    {        0.00000000057,        2.64610234569,    52125.80966124419 },
    {        0.00000000051,        2.51000813692,   183570.92173262799 },
    {        0.00000000050,        4.67879007204,   130226.21661243298 },
    {        0.00000000050,        4.77338184815,    25780.34552060460 },
    {        0.00000000053,        2.81565030425,    55516.41870984820 },
    {        0.00000000057,        2.13334998272,   128320.75184749259 },
    {        0.00000000049,        2.32089689347,    26395.46076254379 },
    {        0.00000000049,        4.95995730259,      956.28915597060 },
    {        0.00000000047,        4.20639928841,    52250.58788171570 },
    {        0.00000000058,        2.23088726891,    52065.59996192899 },
    {        0.00000000048,        5.31281750704,     1162.47470440780 },
    {        0.00000000062,        6.11760884137,    22747.29071487440 },
    {        0.00000000051,        5.16824462074,   130419.84594697120 },
    {        0.00000000058,        1.50489246106,    54509.00267602040 },
    {        0.00000000060,        0.43878956930,   116783.65521669458 },
    {        0.00000000059,        1.50481526118,    26507.38778544939 },
    {        0.00000000047,        3.28472646958,    25565.32572348040 },
    {        0.00000000056,        2.45380736735,   181026.24909573558 },
    {        0.00000000045,        0.64406765475,    52698.38370124219 },
    {        0.00000000051,        3.46813739714,    53242.30176033840 },
    {        0.00000000049,        0.43567376549,    27999.10262479140 },
    {        0.00000000046,        0.93498183343,    26162.68474014150 },
    {        0.00000000043,        5.95322613197,    76667.52298243798 },
    {        0.00000000060,        1.79766045757,    78270.33798362259 },
    {        0.00000000056,        2.27821469853,   182188.72380014337 },
    {        0.00000000043,        2.06804186419,    51859.41441349179 },
    {        0.00000000043,        3.95891822367,    26521.61487945100 },
    {        0.00000000044,        1.68132632019,    23888.81579828719 },
    {        0.00000000051,        5.32970797935,    66653.15746634839 },
    {        0.00000000054,        3.94227996000,    52325.36948028299 },
    {        0.00000000043,        5.13712390348,    11610.55195837420 },
    {        0.00000000042,        4.61414913450,    52492.19815280499 },
    {        0.00000000046,        3.39644477960,   104505.39137678158 },
    {        0.00000000046,        4.83404952611,      110.20632121940 },
    {        0.00000000045,        3.54033283524,    50800.03248330259 },
    {        0.00000000041,        5.69274197267,    24712.12934172840 },
    {        0.00000000040,        0.05183500108,   123200.84011627098 },
    {        0.00000000053,        0.61041631437,    53228.07466633679 },
    {        0.00000000039,        3.11160576014,    25984.81036735560 },
    {        0.00000000046,        2.53560218838,    50696.93970908399 },
    {        0.00000000038,        4.44347866550,    29416.03879785439 },
    {        0.00000000041,        2.65684897050,   233731.74634397859 },
    {        0.00000000037,        3.37391100283,     1375.77379984580 },
    {        0.00000000038,        5.61387655032,   143005.66740785379 },
    {        0.00000000037,        5.42858193090,    28286.99048486120 },
    {        0.00000000049,        5.33663311556,    99024.13645791399 },
    {        0.00000000040,        5.63437453789,      522.57741809380 },
    {        0.00000000036,        5.94438052681,   145204.75475114078 },
    {        0.00000000037,        5.22344534146,    52595.29092702359 },
    {        0.00000000039,        3.40316202566,    25551.09862947879 },
    {        0.00000000038,        2.07724899910,   153084.84390447979 },
    {        0.00000000039,        3.20082564706,   163766.09444104519 },
    {        0.00000000042,        4.90498753252,    25771.51127191760 },
    {        0.00000000041,        2.99014186750,    26190.99591579279 },
    {        0.00000000044,        1.11568032791,    26404.29501123080 },
    {        0.00000000045,        4.61945019127,   132658.27281205778 },
    {        0.00000000037,        0.21864451347,   166740.70439565618 },
    {        0.00000000034,        1.94277190876,   203041.89308344139 },
    {        0.00000000045,        3.16163643681,   104197.83375581198 },
    {        0.00000000046,        4.46390395917,      316.39186965660 },
    {        0.00000000039,        2.02714443659,   136722.59155786238 },
    {        0.00000000034,        1.34251978696,      467.96499035440 },
    {        0.00000000043,        3.34502651928,    78903.60671103658 },
    {        0.00000000039,        3.65197311309,   196137.07343261078 },
    {        0.00000000037,        0.36873111038,   391318.54712361295 },
    {        0.00000000037,        2.88381301226,    36109.74042167360 },
    {        0.00000000037,        1.66449371180,    52290.24557183361 },
    {        0.00000000036,        3.91802057863,    54087.00576636560 },
    {        0.00000000034,        0.07829118699,    26294.08869001139 },
    {        0.00000000033,        2.57632788743,    26941.09952332620 },
    {        0.00000000034,        1.66576107128,    49842.60989027639 },
    {        0.00000000042,        3.65180415116,    76681.75007643958 },
    {        0.00000000032,        4.02686738221,    24356.78078864160 },
    {        0.00000000041,        3.48139478644,    26610.48055966799 },
    {        0.00000000042,        4.68451282229,    24609.03656750980 },
    {        0.00000000040,        1.30779951065,    77630.92568540938 },
    {        0.00000000033,        3.31610603906,    65831.66677432480 },
    {        0.00000000031,        0.54967680937,    13362.44970679920 },
    {        0.00000000034,        2.43294564200,    26421.75908234360 },
    {        0.00000000031,        2.40792798784,   130443.39704322898 },
    {        0.00000000035,        5.90129083656,    78188.92782615528 },
    {        0.00000000032,        5.58376072198,    25881.71759313700 },
    {        0.00000000031,        3.98178993050,   130435.63437251298 },
    {        0.00000000032,        3.03405555905,    27780.06881107659 },
    {        0.00000000031,        5.37276115971,    75930.51303185058 },
    {        0.00000000038,        4.61595624173,   130432.40216087017 },
    {        0.00000000034,        4.68012563436,    25754.04720080480 },
    {        0.00000000030,        2.76994252191,   173511.41499690176 },
    {        0.00000000037,        4.37555392925,     1478.86657406440 },
    {        0.00000000030,        2.69926409993,   208173.53416749899 },
    {        0.00000000039,        4.04332875289,    34282.17847478280 },
    {        0.00000000033,        1.47225901574,    55503.94193942859 },
    {        0.00000000029,        3.09378372977,    27819.02549450680 },
    {        0.00000000030,        2.31018804154,    26624.70765366959 },
    {        0.00000000027,        0.66232275031,   240452.46032331997 },
    {        0.00000000035,        2.18492047595,    22759.76748529401 },
    {        0.00000000035,        5.40621887499,    58857.03113654799 },
    {        0.00000000028,        5.46919985489,   123668.80510662538 },
    {        0.00000000028,        3.82777149286,   130866.11389874699 },
    {        0.00000000027,        3.91211962905,   163298.12945069079 },
    {        0.00000000032,        3.55778676569,    52252.07235442399 },
    {        0.00000000036,        5.27162720206,    52061.36699446317 },
    {        0.00000000027,        0.81850160176,    25455.11940226100 },
    {        0.00000000030,        6.23443583867,    24176.70365835700 },
    {        0.00000000025,        1.48733698955,    60370.08161635699 },
    {        0.00000000025,        3.33473959558,      206.18554843720 },
    {        0.00000000025,        2.23020748610,    12725.45343477500 },
    {        0.00000000027,        4.42031362938,    78896.49316403578 },
    {        0.00000000025,        5.37655641321,   183145.01295611399 },
    {        0.00000000026,        3.84636156987,   132028.58860315479 },
    {        0.00000000025,        2.93714796459,   129387.24732468258 },
    {        0.00000000024,        4.03438874235,    26089.38761428249 },
    {        0.00000000024,        4.80804047978,    27311.72098235281 },
    {        0.00000000025,        5.86264185382,   130289.95251073639 },
    {        0.00000000024,        3.09117849899,    26086.41866886590 },
    {        0.00000000024,        1.40367634737,    25446.48957983520 },
    {        0.00000000034,        3.35416716912,   193937.98608932379 },
    {        0.00000000033,        4.25244677806,   235900.50682626115 },
    {        0.00000000024,        2.35927539622,    25440.89230825939 },
    {        0.00000000027,        2.64020366218,    44295.71712980940 },
    {        0.00000000024,        2.60446530529,   125112.03959948818 },
    {        0.00000000028,        3.86103745286,   130652.81480330898 },
    {        0.00000000026,        3.37480543898,    87367.61641884019 },
    {        0.00000000024,        3.83246872537,    52381.99183158559 },
    {        0.00000000023,        0.19120233351,      647.01083331480 },
    {        0.00000000027,        4.14812612960,   176332.24614102798 },
    {        0.00000000023,        5.73059971283,    26729.31670331319 },
    {        0.00000000025,        0.03995490746,   129373.02023068098 },
    {        0.00000000028,        6.14165948724,    38813.35657634920 },
    {        0.00000000025,        5.64177196482,   198489.93958638259 },
    {        0.00000000026,        2.77862008850,    64901.25971792339 },
    {        0.00000000022,        2.47522981968,    24864.08530079559 },
    {        0.00000000023,        4.26566547587,    26222.01219115920 },
    {        0.00000000024,        4.52888862412,   123758.29085447139 },
    {        0.00000000022,        2.21341244399,    23866.04650697719 },
    {        0.00000000023,        2.89086354510,    25953.79409198919 },
    {        0.00000000028,        4.67525933004,    80382.47328510099 },
    {        0.00000000025,        0.81895690109,    94329.77528619739 },
    {        0.00000000021,        5.56950527628,    52712.61079524379 },
    {        0.00000000021,        0.94595250629,    27684.08958385880 },
    {        0.00000000023,        1.24936319391,   130446.62925487179 },
    {        0.00000000022,        1.55521011593,    24998.19435038059 },
    {        0.00000000024,        3.25849979981,    27669.86248985719 },
    {        0.00000000021,        3.15563465532,   183674.70392120857 },
    {        0.00000000020,        1.45816857985,    75615.25459924959 },
    {        0.00000000028,        2.65265871685,    78366.80219894118 },
    {        0.00000000020,        2.85755801769,    78160.61665050399 },
    {        0.00000000022,        0.13822368415,    51528.79544983359 },
    {        0.00000000022,        1.54444862819,   158746.17595363196 },
    {        0.00000000019,        1.96807510475,    25344.91308104160 },
    {        0.00000000019,        3.62647514058,    78039.36462902068 },
    {        0.00000000019,        2.59520978672,    17893.62780836560 },
    {        0.00000000019,        5.07604473723,   230239.17477710897 },
    {        0.00000000019,        5.86669383027,   103917.90082841998 },
    {        0.00000000023,        1.73834723518,   128220.75860368418 },
    {        0.00000000020,        5.58923906956,    27177.61193276780 },
    {        0.00000000018,        3.70639453097,    77726.90491262719 },
    {        0.00000000019,        2.26467048619,   103932.12792242158 },
    {        0.00000000018,        5.25381269855,    28736.35796704720 },
    {        0.00000000018,        4.77217402671,    77101.23472031478 },
    {        0.00000000019,        3.72677202378,    31415.37924995700 },
    {        0.00000000019,        4.18744479746,   104819.57755665119 },
    {        0.00000000018,        5.12111730170,    77307.42026875199 },
    {        0.00000000019,        1.61508433009,    51653.22886505459 },
    {        0.00000000022,        3.45701154104,   101011.00013959699 },
    {        0.00000000018,        0.82201704537,    26073.67604757259 },
    {        0.00000000017,        3.34555502934,    23919.14265929160 },
    {        0.00000000017,        0.84066532921,    86143.79857806159 },
    {        0.00000000016,        1.27849952927,    51868.24866217880 },
    {        0.00000000020,        0.96796480913,    52609.51802102519 },
    {        0.00000000018,        5.44449345767,    25508.21555457540 },
    {        0.00000000016,        0.52044099995,     2221.85663459700 },
    {        0.00000000022,        3.54324097486,   181659.72224941078 },
    {        0.00000000020,        0.07176334053,   155887.52156313116 },
    {        0.00000000016,        0.63079626568,   102659.44689679438 },
    {        0.00000000017,        3.92564748171,    51852.30086649099 },
    {        0.00000000016,        5.74192653915,    96357.08412427259 },
    {        0.00000000019,        5.08675029863,   118828.96374949679 },
    {        0.00000000017,        2.60085033622,    24448.83362438620 },
    {        0.00000000016,        5.52297362078,     2199.08734328700 },
    {        0.00000000016,        3.37075960327,     1911.19948321720 },
    {        0.00000000019,        1.29587844050,   233681.74972207437 },
    {        0.00000000020,        3.18923375101,    51969.62073471119 },
    {        0.00000000016,        1.11677427544,   103498.41618454478 },
    {        0.00000000017,        3.27627721422,    26312.24793727610 },
    {        0.00000000016,        1.13221502154,      742.99006053260 },
    {        0.00000000016,        5.54277096187,   207114.15223730978 },
    {        0.00000000015,        2.75454442350,    26709.64694241340 },
    {        0.00000000016,        5.31988541460,    78153.50310350319 },
    {        0.00000000015,        1.72659803202,   104344.98400739678 },
    {        0.00000000015,        1.16473739048,    92741.06060792258 },
    {        0.00000000015,        6.19260970054,   130363.24963659538 },
    {        0.00000000015,        4.39941864192,    25466.15934073500 },
    {        0.00000000015,        5.91639466654,    81604.32185142238 },
    {        0.00000000016,        1.77978327250,    26667.59072857300 },
    {        0.00000000014,        1.02452017274,    78313.70604662679 },
    {        0.00000000016,        1.76432370787,    27044.19229754480 },
    {        0.00000000014,        2.39923226256,   103883.64757594238 },
    {        0.00000000019,        6.27439143020,    25764.39772491679 },
    {        0.00000000014,        1.89468926641,    37698.45509994840 },
    {        0.00000000015,        2.42074969299,    27250.37784598199 },
    {        0.00000000017,        5.62209405324,    51432.81622261579 },
    {        0.00000000014,        0.57719222986,     8194.27533320860 },
    {        0.00000000016,        3.05485736253,    22625.65843570900 },
    {        0.00000000014,        2.01915358765,   156507.74908854539 },
    {        0.00000000014,        4.00068734895,   187167.27548807819 },
    {        0.00000000018,        2.79341357052,      323.50541665740 },
    {        0.00000000014,        3.81393790220,    28256.66362385679 },
    {        0.00000000016,        5.63776026285,   209658.82487420217 },
    {        0.00000000014,        0.41463717901,    76887.93562487679 },
    {        0.00000000015,        4.52522828506,    27726.97265876220 },
    {        0.00000000017,        1.61712241486,    26198.10946279360 },
    {        0.00000000017,        4.28622469558,   133882.09065283637 },
    {        0.00000000013,        1.03005720435,    25867.49049913539 },
    {        0.00000000014,        5.57249033787,     2008.55753915900 },
    {        0.00000000014,        1.55327261244,   156314.11975400720 },
    {        0.00000000017,        6.07980209544,    49953.94964855139 },
    {        0.00000000015,        4.87082556178,   104358.24112519680 },
    {        0.00000000013,        3.77190272158,       19.66976089979 },
    {        0.00000000014,        1.15128244599,      949.17560896980 },
    {        0.00000000015,        5.41370603467,   208276.62694171758 },
    {        0.00000000017,        4.64348696761,   112231.70171963578 },
    {        0.00000000015,        5.32660829331,   154408.65498906677 },
    {        0.00000000013,        2.83396822652,    25169.97285559240 },
    {        0.00000000013,        4.02048329912,   417406.45026518719 },
    {        0.00000000016,        3.55065193748,    86457.98475793119 },
    {        0.00000000014,        3.36690643779,    12546.48193908300 },
    {        0.00000000013,        0.99936337980,    78338.49102328988 },
    {        0.00000000012,        3.73185561368,    78786.28684281638 },
    {        0.00000000013,        4.55944709442,    80596.90581759460 },
    {        0.00000000013,        3.68826251139,    79315.97780791098 },
    {        0.00000000014,        4.16798439220,   156547.08861034497 },
    {        0.00000000012,        3.12250614731,   149288.74325784517 },
    {        0.00000000012,        2.69822275229,      153.77881048480 },
    {        0.00000000012,        4.38117483432,    27005.83342755599 },
    {        0.00000000012,        0.18670274235,    27463.67694142000 },
    {        0.00000000014,        4.15157533592,    29550.14784743939 },
    {        0.00000000012,        2.80242906300,   102755.42612401219 },
    {        0.00000000011,        5.82534982697,   259819.64948555277 },
    {        0.00000000011,        2.40751499410,   169093.57054942797 },
    {        0.00000000012,        0.49717322689,   102769.65321801379 },
    {        0.00000000014,        5.70135994622,    76784.84285065818 },
    {        0.00000000012,        5.56466695759,    26402.08932144380 },
    {        0.00000000012,        5.20939267480,    77947.31755506598 },
    {        0.00000000012,        1.48332519091,    78580.10129437919 },
    {        0.00000000011,        1.64550613889,    25773.71696170459 },
    {        0.00000000014,        2.00272444242,      846.08283475120 },
    {        0.00000000011,        2.45694663172,    34082.43158359840 },
    {        0.00000000013,        0.71976807921,    78413.27262185719 },
    {        0.00000000011,        5.17923563094,   162810.49469943656 },
    {        0.00000000011,        5.59096637831,    24203.00197815680 },
    {        0.00000000011,        2.73725230614,   171292.65789271498 },
    {        0.00000000011,        0.45561312943,     2111.65031337760 },
    {        0.00000000010,        3.29302391758,   192828.60753723036 },
    {        0.00000000010,        0.45749830582,   222224.97657418498 },
    {        0.00000000013,        5.70888843757,    78213.71280281838 },
    {        0.00000000011,        0.63918585952,    26118.23000257860 },
    {        0.00000000011,        4.37242083406,   103718.82882698359 },
    {        0.00000000013,        5.83046207525,    26411.40855823160 },
    {        0.00000000010,        4.69854881597,     2125.87740737920 },
    {        0.00000000010,        5.45767490076,    52483.36390411799 },
    {        0.00000000011,        0.28780192978,    26057.57628056979 },
    {        0.00000000009,        5.57296516954,   151199.94274106238 },
    {        0.00000000011,        0.03043165356,   104991.50985261079 },
    {        0.00000000013,        0.25136435742,    79330.20490191258 },
    {        0.00000000010,        6.23928786518,   128106.31931499895 },
    {        0.00000000009,        3.68851867839,   148532.89040742096 },
    {        0.00000000013,        3.60684923313,    39629.32434406539 },
    {        0.00000000011,        6.22990755807,   130285.73689738619 },
    {        0.00000000011,        2.89470344307,   122444.98726584678 },
    {        0.00000000010,        2.08672189789,    78683.19406859778 },
    {        0.00000000011,        1.47256834447,   156520.30530244438 },
    {        0.00000000009,        5.65081400311,     1265.56747862640 },
    {        0.00000000009,        5.24103989320,   138319.60486120995 },
    {        0.00000000012,        0.18150039505,   130593.29451835579 },
    {        0.00000000009,        6.25519800847,    53906.92863608099 },
    {        0.00000000011,        3.36897466391,   142871.55835826878 },
    {        0.00000000009,        5.47220139772,   156531.30018480320 },
    {        0.00000000009,        4.79193935369,   101703.15774082378 },
    {        0.00000000009,        2.73233240796,       38.13303563780 },
    {        0.00000000009,        5.92203424852,    62197.64356324779 },
    {        0.00000000009,        4.73313854519,    78378.14871340781 },
    {        0.00000000011,        0.80835589901,     3328.13565628019 },
    {        0.00000000009,        6.25211275054,    91919.56991589899 },
    {        0.00000000009,        5.86117346092,   199599.31813847594 },
    {        0.00000000009,        0.76170025619,   156523.53751408719 },
    {        0.00000000008,        2.63159027428,    25138.72753260440 },
    {        0.00000000008,        0.63376834726,    80174.90890793978 },
    {        0.00000000008,        5.01131881830,   229129.79622501557 },
    {        0.00000000008,        0.59095609782,   156954.01704032117 },
    {        0.00000000008,        3.96069371818,   120417.67842777158 },
    {        0.00000000008,        0.20472704456,   113455.51956041438 },
    {        0.00000000008,        0.21378629185,    13541.42120249119 },
    {        0.00000000009,        6.19522776711,   189853.99758261937 },
    {        0.00000000008,        3.46743939606,    77616.69859140778 },
    {        0.00000000008,        1.77055863395,    26076.85744131030 },
    {        0.00000000007,        0.60951368208,   158116.49174472899 },
    {        0.00000000007,        5.88307805923,    51226.63067417859 },
    {        0.00000000008,        2.06054527018,    78149.27013603736 },
    {        0.00000000007,        0.67573699734,    52177.29075585669 },
    {        0.00000000007,        0.56541937862,    25985.94062330859 },
    {        0.00000000008,        5.86693477979,   104454.70534051539 },
    {        0.00000000009,        1.96737763224,     1272.68102562720 },
    {        0.00000000007,        0.44264721986,   104127.26777059489 },
    {        0.00000000007,        0.08749528270,    90989.16285949759 },
    {        0.00000000007,        0.73004980700,    78469.89497315978 },
    {        0.00000000007,        6.23421813357,    52174.32181044009 },
    {        0.00000000010,        2.72048541419,   104276.83096772949 },
    {        0.00000000007,        5.16297609447,    26189.86565983980 },
    {        0.00000000007,        5.16783260362,   179172.74704605396 },
    {        0.00000000008,        0.19859791400,        1.48447270830 },
    {        0.00000000008,        0.98974164620,    16703.06213349900 },
    {        0.00000000007,        0.08448723866,    26098.94884183810 },
    {        0.00000000007,        5.26655384619,    48847.67062686820 },
    {        0.00000000007,        5.67290992258,    53029.00266490040 },
    {        0.00000000007,        0.70298146974,    65717.22748563958 },
    {        0.00000000007,        0.52879503896,   103814.80805420138 },
    {        0.00000000007,        1.45586274186,    51841.95034237900 },
    {        0.00000000008,        2.25244914252,   149756.70824819960 },
    {        0.00000000007,        1.96966094639,   103395.32341032618 },
    {        0.00000000007,        2.29501149303,    54374.89362643540 },
    {        0.00000000007,        1.15651167402,   261988.40996783535 },
    {        0.00000000007,        0.91078726535,    27972.80430499159 },
    {        0.00000000007,        6.02717026150,   155475.15046625677 },
    {        0.00000000008,        0.66507670910,   156740.71794488319 },
    {        0.00000000007,        0.94700175748,   202420.14928260216 },
    {        0.00000000008,        0.34134938947,    78339.97549599818 },
    {        0.00000000008,        1.98845877732,    84944.93427812219 },
    {        0.00000000006,        3.16993837728,    76041.85279012559 },
    {        0.00000000007,        1.19047076397,   104984.39630560997 },
    {        0.00000000007,        2.69108098458,   156377.85565231059 },
    {        0.00000000007,        6.13097420651,    53867.97195265079 },
    {        0.00000000007,        4.82055011453,    52286.01260436779 },
    {        0.00000000006,        2.11609233880,      148.07872442630 },
    {        0.00000000008,        5.56002050185,    52509.66222391780 },
    {        0.00000000006,        3.05974031426,      151.04766984290 },
    {        0.00000000007,        2.65161871524,      220.41264243880 },
    {        0.00000000006,        2.56280940006,   224577.84272795677 },
    {        0.00000000007,        0.86158158633,    50444.68393021580 },
    {        0.00000000006,        2.00889517237,   102018.41617342478 },
    {        0.00000000007,        1.62169979249,   103189.13786188899 },
    {        0.00000000007,        0.09240531376,   220025.88923089797 },
    {        0.00000000006,        4.82758891211,   154308.66174525840 },
    {        0.00000000006,        2.40853261600,    78800.51393681798 },
    {        0.00000000006,        5.65068346886,   234261.43730907317 },
    {        0.00000000007,        1.38382796577,   106470.37642667518 },
    {        0.00000000006,        2.68051758089,    77520.71936418998 },
    {        0.00000000007,        0.27107569571,   127098.90328117118 },
    {        0.00000000006,        0.91950758032,    57503.28239153120 },
    {        0.00000000006,        5.40186174612,   130020.03106399579 },
    {        0.00000000007,        4.61008524779,    81591.84508100279 },
    {        0.00000000006,        2.52775281113,    52817.21984488739 },
    {        0.00000000006,        0.06428030158,    53757.76563143139 },
    {        0.00000000007,        3.13678251018,   155460.92337225520 },
    {        0.00000000005,        2.16958206998,   104241.40624507738 },
    {        0.00000000005,        2.16122225820,   209232.91609768817 },
    {        0.00000000006,        2.67263390138,   130005.80396999417 },
    {        0.00000000005,        1.01489122668,    55638.05098901359 },
    {        0.00000000005,        1.58074341774,    50167.24874398939 },
    {        0.00000000007,        1.32001119590,   149846.19399604559 },
    {        0.00000000005,        2.48050355533,     9384.84100807520 },
    {        0.00000000005,        3.64485355863,    39450.35284837340 },
    {        0.00000000007,        5.71272099811,    70383.62027138360 },
    {        0.00000000006,        4.54553892082,    51955.39364070959 },
    {        0.00000000005,        3.69884871494,   266540.36346489412 },
    {        0.00000000005,        3.50561067502,   102975.83876645098 },
    {        0.00000000005,        3.97872155650,    53771.99272543299 },
    {        0.00000000005,        1.30705357996,    53814.87580033639 },
    {        0.00000000006,        1.01004635563,    77940.20400806518 },
    {        0.00000000007,        6.03507811966,     1485.98012106520 },
    {        0.00000000005,        2.49612730964,   102872.74599223239 },
    {        0.00000000006,        0.44812743722,    50064.15596977079 },
    {        0.00000000007,        3.00491549599,    50264.60679993120 },
    {        0.00000000005,        4.43939776622,    51534.39272140940 },
    {        0.00000000005,        2.29114170922,    61560.64729122359 },
    {        0.00000000005,        0.95563241527,   130907.48069822539 },
    {        0.00000000005,        0.07459937840,    78057.52387628538 },
    {        0.00000000005,        1.56476312573,    53399.62412392700 },
    {        0.00000000006,        4.33011184164,   156534.53239644598 },
    {        0.00000000005,        4.55586232098,    52137.67324751059 },
    {        0.00000000004,        0.55691399276,   189386.03259226496 },
    {        0.00000000004,        2.65454855015,   107692.22499299659 },
    {        0.00000000005,        3.71195236567,   128747.35003836859 },
    {        0.00000000004,        0.50974112501,    54344.56676543099 },
    {        0.00000000006,        6.09359126879,   104248.51979207818 },
    {        0.00000000004,        5.91763059228,    52041.69723356339 },
    {        0.00000000004,        4.01088339341,   104401.60918820098 },
    {        0.00000000005,        0.98755148462,     1795.25844372100 },
    {        0.00000000005,        4.16457595792,   129586.31932611899 },
    {        0.00000000005,        3.17164389668,   181975.42470470539 },
    {        0.00000000004,        6.18497065795,   209762.60706278277 },
    {        0.00000000006,        4.82052927723,    77741.13200662879 },
    {        0.00000000005,        0.22285727897,    50007.04580086580 },
    {        0.00000000004,        4.57695596525,   184834.07909520617 },
    {        0.00000000004,        2.32551642285,    53265.51507434200 },
    {        0.00000000004,        4.83714899252,    52755.49387014719 },
    {        0.00000000004,        0.47417846704,   105403.88094948517 },
    {        0.00000000004,        2.61192597252,    50049.92887576919 },
    {        0.00000000004,        1.01847002831,    52309.91533273340 },
    {        0.00000000004,        4.93491619845,    63786.35824152260 },
    {        0.00000000005,        0.29106641233,   207747.62539098499 },
    {        0.00000000004,        5.23227546931,    52027.72755872209 },
    {        0.00000000004,        4.51166201853,    77956.15180375299 },
    {        0.00000000004,        5.45050466984,   129971.55071751658 },
    {        0.00000000004,        3.77460109134,   104501.17576343138 },
    {        0.00000000005,        5.22637270443,    51329.72344839720 },
    {        0.00000000004,        1.64240288075,   130446.14426677099 },
    {        0.00000000004,        4.12681734359,    52024.75861330549 },
    {        0.00000000004,        1.28556784404,   112545.88789950538 },
    {        0.00000000004,        4.76459208241,   130432.88714897096 },
    {        0.00000000005,        1.15142161162,    27566.76971563859 },
    {        0.00000000004,        3.50133847010,    76152.05911134499 },
    {        0.00000000004,        3.46894421635,   128857.55635958798 },
    {        0.00000000004,        5.61652153909,    43981.53094993980 },
    {        0.00000000004,        4.02759705517,   104426.39416486409 },
    {        0.00000000004,        1.34875445004,   106684.80895916879 },
    {        0.00000000004,        5.13091111991,      735.87651353180 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B1_MERCURY[] =
  {
    {        0.00274646065,        3.95008450011,    26087.90314157420 },
    {        0.00099737713,        3.14159265359,        0.00000000000 },
    {        0.00018772047,        0.05141288887,    78263.70942472259 },
    {        0.00023970726,        2.53272082947,    52175.80628314840 },
    {        0.00008097508,        3.20946389315,   104351.61256629678 },
    {        0.00002890729,        0.00943621371,   130439.51570787099 },
    {        0.00000949669,        3.06780459575,   156527.41884944518 },
    {        0.00000298013,        6.11414444304,   182615.32199101939 },
    {        0.00000090863,        2.87023913203,   208703.22513259359 },
    {        0.00000027163,        5.90488705529,   234791.12827416777 },
    {        0.00000024677,        0.37210176608,    27197.28169366760 },
    {        0.00000016001,        0.37499685422,    24978.52458948080 },
    {        0.00000011035,        3.48855329110,    53285.18483524180 },
    {        0.00000008004,        2.65315026358,   260879.03141574195 },
    {        0.00000008817,        3.46732763537,    51066.42773105500 },
    {        0.00000004863,        3.13533089859,    31749.23519072640 },
    {        0.00000004419,        2.23904465242,    51116.42435295920 },
    {        0.00000003814,        0.25548693522,    77154.33087262919 },
    {        0.00000002815,        0.26202289859,    79373.08797681599 },
    {        0.00000002530,        0.93822440376,    25028.52121138500 },
    {        0.00000002333,        5.68288980482,   286966.93455731618 },
    {        0.00000001895,        0.10856961205,    57837.13833230060 },
    {        0.00000001701,        4.37082841476,    47623.85278608960 },
    {        0.00000001899,        4.11252610224,    21535.94964451540 },
    {        0.00000001471,        3.31454498058,   103242.23401420339 },
    {        0.00000001398,        0.70775253481,    46514.47423399620 },
    {        0.00000001479,        2.73615287841,     1109.37855209340 },
    {        0.00000001354,        4.55218165396,    27043.50288318280 },
    {        0.00000001109,        5.45818445766,    37410.56723987860 },
    {        0.00000001052,        1.49151534032,     5661.33204915220 },
    {        0.00000000930,        1.64333447742,    27147.28507176339 },
    {        0.00000000989,        3.05243519620,    26107.57290247399 },
    {        0.00000001079,        5.57037418878,    77204.32749453338 },
    {        0.00000000906,        1.01615991422,    50586.73338786459 },
    {        0.00000000883,        3.88701951249,    72602.37737557039 },
    {        0.00000000815,        4.05203293287,    26068.23338067440 },
    {        0.00000001010,        4.26926247841,     1059.38193018920 },
    {        0.00000000865,        2.54233867528,    25132.30339996560 },
    {        0.00000000861,        3.07069188532,    20426.57109242200 },
    {        0.00000000804,        3.64421854876,    25558.21217647960 },
    {        0.00000000801,        5.97109208562,    26084.02180621620 },
    {        0.00000000731,        2.98501758578,    30639.85663863300 },
    {        0.00000000638,        2.35143884682,    63498.47038145279 },
    {        0.00000000834,        1.43265392502,    53131.40602475700 },
    {        0.00000000681,        1.12652210230,    26091.78447693220 },
    {        0.00000000633,        0.25824675505,      529.69096509460 },
    {        0.00000000557,        1.64609790150,    51749.20809227239 },
    {        0.00000000571,        5.59911115025,    51220.20654153979 },
    {        0.00000000674,        2.42815855700,   313054.83769889036 },
    {        0.00000000531,        0.08195485862,   129330.13715577759 },
    {        0.00000000516,        3.30817563740,   105460.99111839019 },
    {        0.00000000547,        4.88873057421,    53235.18821333759 },
    {        0.00000000646,        5.15532565106,    51646.11531805379 },
    {        0.00000000498,        6.25926046322,    39609.65458316560 },
    {        0.00000000486,        1.90882118195,    41962.52073693740 },
    {        0.00000000487,        1.46686338689,    14765.23904326980 },
    {        0.00000000495,        1.33429661042,    73711.75592766379 },
    {        0.00000000496,        6.18531128569,     1589.07289528380 },
    {        0.00000000462,        0.10800789461,    28306.66024576099 },
    {        0.00000000436,        3.94859010010,    26617.59410666880 },
    {        0.00000000428,        2.66017504161,    32858.61374281979 },
    {        0.00000000433,        2.66167748924,    10213.28554621100 },
    {        0.00000000454,        1.26447194685,    52705.49724824299 },
    {        0.00000000424,        2.16539582623,    24498.83024629040 },
    {        0.00000000382,        4.92616226033,    13521.75144159140 },
    {        0.00000000378,        2.51470161086,   110012.94461544899 },
    {        0.00000000369,        0.49272546225,    23869.14603738740 },
    {        0.00000000359,        6.10388198518,    52195.47604404819 },
    {        0.00000000377,        0.82879515558,    52156.13652224860 },
    {        0.00000000341,        3.96944896611,    76674.63652943878 },
    {        0.00000000423,        6.02804558448,    56727.75978020720 },
    {        0.00000000385,        1.53468252007,    43071.89928903080 },
    {        0.00000000354,        2.22262764622,     4551.95349705880 },
    {        0.00000000346,        4.52919441767,    22645.32819660879 },
    {        0.00000000410,        0.69983495069,    98690.28051714458 },
    {        0.00000000286,        3.35426943723,    54394.56338733519 },
    {        0.00000000273,        2.36744757405,    77308.10968311399 },
    {        0.00000000294,        2.74202105897,    52171.92494779040 },
    {        0.00000000304,        2.38540570200,    19804.82729158280 },
    {        0.00000000347,        5.86460557162,    25661.30495069820 },
    {        0.00000000326,        5.95921822260,    58946.51688439399 },
    {        0.00000000282,        4.58303975832,    40853.14218484400 },
    {        0.00000000295,        4.14948936071,    19317.19254032860 },
    {        0.00000000234,        2.42226658329,    51535.90899683439 },
    {        0.00000000308,        4.18990062677,    52179.68761850640 },
    {        0.00000000227,        3.10129561309,    29530.47808653960 },
    {        0.00000000223,        3.39292203864,    52168.69273614759 },
    {        0.00000000301,        4.98290551019,    83925.04147387479 },
    {        0.00000000210,        1.29236814505,   129380.13377768178 },
    {        0.00000000231,        2.78805501752,    27676.97603685800 },
    {        0.00000000254,        1.75202182861,    79323.09135491178 },
    {        0.00000000219,        3.11799781949,    65697.55772473979 },
    {        0.00000000228,        4.75382145430,    69159.80243060499 },
    {        0.00000000221,        5.66487908503,   136100.84775702318 },
    {        0.00000000256,        4.33563337332,    78793.40038981718 },
    {        0.00000000186,        5.08965761232,    51109.31080595839 },
    {        0.00000000205,        5.61491216184,    15874.61759536320 },
    {        0.00000000220,        5.33790249773,     9103.90699411760 },
    {        0.00000000213,        2.92176515735,        7.11354700080 },
    {        0.00000000254,        3.83544410132,   103292.23063610759 },
    {        0.00000000182,        3.12436060186,   155418.04029735178 },
    {        0.00000000172,        3.57237148676,    49957.04917896160 },
    {        0.00000000170,        5.34074841499,    59414.48187474840 },
    {        0.00000000198,        2.80899484175,    82815.66292178139 },
    {        0.00000000169,        3.95433715382,    48733.23133818299 },
    {        0.00000000160,        4.06638746066,    38654.05484155699 },
    {        0.00000000169,        2.98278429311,    52182.91983014920 },
    {        0.00000000164,        0.48406852660,    25035.63475838580 },
    {        0.00000000193,        5.45282424425,   339142.74084046460 },
    {        0.00000000167,        3.76968649610,   124778.18365871879 },
    {        0.00000000177,        0.50498686165,    12566.15169998280 },
    {        0.00000000174,        2.93891001182,     3442.57494496540 },
    {        0.00000000139,        2.89354352723,    16983.99614745660 },
    {        0.00000000135,        0.95689929067,    25021.40766438420 },
    {        0.00000000135,        1.85739871878,     1066.49547719000 },
    {        0.00000000140,        0.95231303882,    45405.09568190280 },
    {        0.00000000129,        4.98272235175,    62389.09182935939 },
    {        0.00000000163,        4.43252627959,    79219.30916633119 },
    {        0.00000000127,        2.64712841018,     6283.07584999140 },
    {        0.00000000148,        4.42851788044,      639.89728631400 },
    {        0.00000000120,        5.47170236878,    89586.37352302698 },
    {        0.00000000138,        4.66882702924,    25448.00585526019 },
    {        0.00000000131,        2.39432798293,     1052.26838318840 },
    {        0.00000000127,        4.28199485177,    45892.73043315699 },
    {        0.00000000148,        5.88768686520,    26095.01668857500 },
    {        0.00000000113,        5.41723025442,   103396.01282468818 },
    {        0.00000000141,        0.66045444891,      955.59974160860 },
    {        0.00000000132,        3.31487233981,    25874.60404613620 },
    {        0.00000000111,        2.30602187706,    26514.50133245020 },
    {        0.00000000127,        4.92872197982,    77837.11123384659 },
    {        0.00000000146,        4.44514969950,    51123.53789995999 },
    {        0.00000000108,        1.38943506443,    26301.20223701220 },
    {        0.00000000107,        2.87108086381,    78283.37918562238 },
    {        0.00000000107,        6.11750618089,    55618.38122811380 },
    {        0.00000000106,        4.34929118982,    94138.32702008578 },
    {        0.00000000141,        5.99037156525,    26080.78959457339 },
    {        0.00000000140,        1.44143660799,    66941.04532641819 },
    {        0.00000000145,        3.88502701676,    78244.03966382280 },
    {        0.00000000114,        4.48951543952,   155468.03691925600 },
    {        0.00000000127,        4.99565339762,     6770.71060124560 },
    {        0.00000000122,        0.26346073379,    50057.04242277000 },
    {        0.00000000106,        5.21881168514,      213.29909543800 },
    {        0.00000000116,        0.96831158986,    78267.59076008058 },
    {        0.00000000113,        1.04970035229,    11322.66409830440 },
    {        0.00000000095,        2.69641328629,    33326.57873317420 },
    {        0.00000000114,        1.09238127979,   104881.30353139139 },
    {        0.00000000113,        5.10217474462,    52389.10537858640 },
    {        0.00000000089,        5.79526808183,    78259.82808936459 },
    {        0.00000000089,        2.61728576551,    77734.01845962799 },
    {        0.00000000105,        5.07516625809,    18849.22754997420 },
    {        0.00000000104,        4.85110269983,   105410.99449648599 },
    {        0.00000000088,        0.07845540889,    80482.46652890938 },
    {        0.00000000089,        0.17312185860,    36301.18868778519 },
    {        0.00000000085,        2.60578915417,     2218.75710418680 },
    {        0.00000000091,        0.98738393447,    64741.95798313119 },
    {        0.00000000092,        5.59469661827,    77623.81213840858 },
    {        0.00000000082,        1.92444262254,    77197.21394753258 },
    {        0.00000000087,        0.20380347433,    78256.59587772179 },
    {        0.00000000096,        0.08189739553,    32370.97899156560 },
    {        0.00000000107,        5.83710041170,    53764.87917843220 },
    {        0.00000000081,        3.69706776323,   125887.56221081219 },
    {        0.00000000080,        5.03346565385,    38519.94579197200 },
    {        0.00000000077,        6.07816721358,    78270.82297172339 },
    {        0.00000000082,        0.51152795715,   102762.53967101299 },
    {        0.00000000085,        1.92105479279,    88476.99497093359 },
    {        0.00000000101,        0.96161245897,    74821.13447975718 },
    {        0.00000000086,        0.56718393948,     2118.76386037840 },
    {        0.00000000080,        5.85129854966,   108903.56606335558 },
    {        0.00000000085,        0.33559096416,    68050.42387851159 },
    {        0.00000000101,        2.44941820933,   162188.75089859738 },
    {        0.00000000072,        5.40658854751,    52602.40447402440 },
    {        0.00000000073,        1.35284250657,    77211.44104153418 },
    {        0.00000000078,        1.82932544900,    23969.13928119580 },
    {        0.00000000078,        1.14557641661,   103821.92160120218 },
    {        0.00000000063,        0.55276835341,   150866.08680029298 },
    {        0.00000000060,        0.75277278015,    51962.50718771040 },
    {        0.00000000067,        0.35378094005,    76044.95232053580 },
    {        0.00000000066,        1.22896212635,   120226.23016165999 },
    {        0.00000000075,        1.90096013413,    44937.13069154840 },
    {        0.00000000078,        2.65007000101,    85034.42002596818 },
    {        0.00000000067,        5.96206801213,    99799.65906923798 },
    {        0.00000000057,        4.04412361561,    71492.99882347698 },
    {        0.00000000063,        2.22382469625,    64607.84893354619 },
    {        0.00000000057,        1.26261980819,    26727.80042788820 },
    {        0.00000000066,        5.08613056380,      426.59819087600 },
    {        0.00000000061,        6.17937752731,   181505.94343892598 },
    {        0.00000000057,        1.67383119023,    13655.86049117640 },
    {        0.00000000055,        2.01862939432,    78477.00852016058 },
    {        0.00000000059,        2.31048572111,    25934.12433108940 },
    {        0.00000000052,        5.28302108918,   117873.36400788819 },
    {        0.00000000058,        4.52853866098,    93028.94846799239 },
    {        0.00000000051,        1.37470570114,    51742.09454527159 },
    {        0.00000000049,        4.95150906291,    27154.39861876420 },
    {        0.00000000054,        3.22580705063,    76144.94556434419 },
    {        0.00000000055,        4.34494801509,   129909.82474277639 },
    {        0.00000000052,        0.64534027826,   104331.94280539699 },
    {        0.00000000049,        0.54893867721,   151975.46535238638 },
    {        0.00000000050,        2.16547944799,   365230.64398203877 },
    {        0.00000000042,        3.33958631905,    25654.19140369739 },
    {        0.00000000043,        2.86670192586,    81706.28436968799 },
    {        0.00000000045,        4.36618153094,    23754.70674870219 },
    {        0.00000000046,        4.11608179511,   130969.20667296558 },
    {        0.00000000042,        3.34341658738,    58458.88213313979 },
    {        0.00000000043,        2.17611617409,   129483.91596626239 },
    {        0.00000000040,        5.67208441017,    98068.53671630539 },
    {        0.00000000054,        2.01769359183,    71980.63357473118 },
    {        0.00000000041,        4.03526737986,   104355.49390165479 },
    {        0.00000000044,        1.34241743313,    95247.70557217918 },
    {        0.00000000048,        2.80283584379,    25668.41849769900 },
    {        0.00000000052,        1.57841300473,    91785.46086631398 },
    {        0.00000000051,        1.28828842075,   181555.94006083018 },
    {        0.00000000040,        1.64623403786,   131498.89763806018 },
    {        0.00000000043,        1.22261583745,    25619.93815121980 },
    {        0.00000000038,        5.49413456622,      433.71173787680 },
    {        0.00000000045,        3.79507198320,    25973.46385288896 },
    {        0.00000000036,        0.95495171363,    12432.04265039780 },
    {        0.00000000044,        2.60019583483,    79852.78232000639 },
    {        0.00000000035,        3.78148248909,    78050.41032928458 },
    {        0.00000000036,        1.55620646402,    35191.81013569180 },
    {        0.00000000036,        3.27238519467,    51322.60990139639 },
    {        0.00000000038,        4.98002708714,    71025.03383312259 },
    {        0.00000000041,        5.50852676734,   188276.65404017159 },
    {        0.00000000036,        6.11354609097,      419.48464387520 },
    {        0.00000000039,        0.62636542709,    51756.32163927320 },
    {        0.00000000033,        0.05318157962,   157636.79740153858 },
    {        0.00000000031,        4.47853571883,    50579.61984086379 },
    {        0.00000000042,        4.11842354719,    90829.86112470538 },
    {        0.00000000041,        5.03998788697,   114564.89811250778 },
    {        0.00000000041,        3.30990629103,    26202.34243025941 },
    {        0.00000000029,        2.87668564214,   104358.72611329758 },
    {        0.00000000029,        4.48238942132,   103299.34418310839 },
    {        0.00000000029,        5.92039948279,   104371.28232719658 },
    {        0.00000000037,        5.51946984459,    27140.17152476259 },
    {        0.00000000027,        6.23586367522,   131548.89425996438 },
    {        0.00000000028,        4.05590031045,    26241.68195205900 },
    {        0.00000000028,        2.50435883057,   134991.46920492980 },
    {        0.00000000033,        2.24161818527,    78690.30761559859 },
    {        0.00000000033,        3.52014855585,    28206.66700195260 },
    {        0.00000000034,        3.16651260001,    28421.09953444620 },
    {        0.00000000026,        5.00736740368,    52026.24308601380 },
    {        0.00000000029,        2.17466338621,   143961.26714946239 },
    {        0.00000000027,        4.99746573906,   103285.11708910679 },
    {        0.00000000025,        2.48133226582,     1596.18644228460 },
    {        0.00000000027,        2.69046712792,    26137.89976347840 },
    {        0.00000000024,        4.42906084435,    52815.70356946240 },
    {        0.00000000024,        0.28078732255,    24491.71669928959 },
    {        0.00000000027,        3.18888227928,   106570.36967048359 },
    {        0.00000000026,        1.03825669554,   155997.72788435058 },
    {        0.00000000025,        0.92922476652,    46848.33017476560 },
    {        0.00000000030,        4.33105881883,   146314.13330323418 },
    {        0.00000000023,        5.18080408909,   104564.91166173479 },
    {        0.00000000028,        3.65474790938,      853.19638175200 },
    {        0.00000000022,        0.85921724567,    97580.90196505119 },
    {        0.00000000024,        1.23363961966,    44181.27784112419 },
    {        0.00000000022,        0.70470227963,   130012.91751699499 },
    {        0.00000000022,        4.49230772734,    77829.99768684579 },
    {        0.00000000028,        2.49868158665,   103711.71527998279 },
    {        0.00000000027,        3.29515496156,   104344.49901929598 },
    {        0.00000000022,        0.44572975520,    84546.78527471398 },
    {        0.00000000022,        5.88047033548,   111122.32316754239 },
    {        0.00000000022,        2.60977946903,   124156.43985787958 },
    {        0.00000000022,        4.44538253487,    26037.90651966999 },
    {        0.00000000020,        4.82064305548,    50593.84693486539 },
    {        0.00000000019,        2.55536179284,   104347.73123093879 },
    {        0.00000000020,        4.64031139150,    39743.76363275060 },
    {        0.00000000020,        5.75240741273,    26555.86813192860 },
    {        0.00000000019,        3.61612329821,   176953.98994186718 },
    {        0.00000000021,        1.87806754676,    53242.30176033840 },
    {        0.00000000021,        5.33472392490,    25234.70675982219 },
    {        0.00000000024,        3.22504783392,   103925.01437542078 },
    {        0.00000000020,        0.66874668037,    24505.94379329119 },
    {        0.00000000018,        4.02462395449,    25455.11940226100 },
    {        0.00000000024,        3.43375195287,   102132.85546210999 },
    {        0.00000000019,        2.22650377926,    51639.00177105299 },
    {        0.00000000017,        5.55040575898,     7994.52844202420 },
    {        0.00000000022,        2.31932242347,    33967.99229491319 },
    {        0.00000000018,        3.12472807269,     2333.19639287200 },
    {        0.00000000017,        1.33046572340,   119116.85160956658 },
    {        0.00000000022,        2.31387117720,     7238.67559160000 },
    {        0.00000000019,        3.58998679047,   100909.03762133139 },
    {        0.00000000019,        3.87014504106,    77844.22478084739 },
    {        0.00000000019,        3.09565971234,   183724.70054311279 },
    {        0.00000000016,        5.37852102811,    52099.54021187280 },
    {        0.00000000016,        0.33931328678,   104138.31347085879 },
    {        0.00000000016,        3.61136447801,    25938.33994443960 },
    {        0.00000000016,        4.67702694427,    70269.18098269838 },
    {        0.00000000016,        3.62892599352,    45494.58142974879 },
    {        0.00000000018,        0.09335270206,    52290.24557183361 },
    {        0.00000000016,        4.26164005531,    18207.81398823521 },
    {        0.00000000018,        3.03297999390,    18093.37469954999 },
    {        0.00000000018,        1.42431884027,    52329.58509363319 },
    {        0.00000000018,        1.95751842010,     1581.95934828300 },
    {        0.00000000016,        5.77486682330,   105940.68546158058 },
    {        0.00000000018,        4.34696486181,   207643.84320240439 },
    {        0.00000000016,        5.63459120036,    60055.89543648739 },
    {        0.00000000019,        3.63064346775,   178063.36849396059 },
    {        0.00000000014,        2.24040737633,    26521.61487945100 },
    {        0.00000000015,        0.02625056785,     5327.47610838280 },
    {        0.00000000016,        2.36249545609,    53228.07466633679 },
    {        0.00000000014,        4.71907120236,      536.80451209540 },
    {        0.00000000014,        4.97342838812,      632.78373931320 },
    {        0.00000000013,        0.88467126264,   157057.10981453978 },
    {        0.00000000017,        3.02173052534,   128850.44281258718 },
    {        0.00000000014,        3.69908958351,   130419.84594697120 },
    {        0.00000000017,        2.97363257370,   207593.84658050019 },
    {        0.00000000014,        3.36313158411,    26507.38778544939 },
    {        0.00000000014,        5.19298126606,   391318.54712361295 },
    {        0.00000000016,        6.22012529996,    54509.00267602040 },
    {        0.00000000015,        0.11681094638,    77410.51304297059 },
    {        0.00000000012,        1.76556010523,    97112.93697469679 },
    {        0.00000000012,        1.25999627705,   131395.11544947958 },
    {        0.00000000016,        0.55859453886,    52061.36699446317 },
    {        0.00000000012,        4.71974002613,   157586.80077963436 },
    {        0.00000000014,        1.83071724750,   140652.80125408198 },
    {        0.00000000012,        2.28368820761,   214364.55718174577 },
    {        0.00000000012,        6.24305669176,   102232.84870591838 },
    {        0.00000000013,        0.94418392757,   116917.76426627958 },
    {        0.00000000013,        5.67747595071,    52022.02747266360 },
    {        0.00000000014,        2.65222906369,    52643.77127350280 },
    {        0.00000000011,        4.46099054997,    90695.75207512039 },
    {        0.00000000011,        0.77812998358,   130443.39704322898 },
    {        0.00000000011,        4.78834330208,      647.01083331480 },
    {        0.00000000012,        5.21629435630,   155571.81910783658 },
    {        0.00000000010,        3.98538100953,    26011.63707029860 },
    {        0.00000000011,        5.35398161802,    26610.48055966799 },
    {        0.00000000014,        0.26737723968,    54294.57014352679 },
    {        0.00000000012,        5.97381327440,    49527.35145767539 },
    {        0.00000000011,        5.93849929007,   107794.18751126219 },
    {        0.00000000011,        0.52555554946,    26941.09952332620 },
    {        0.00000000010,        0.77987261513,    26081.27458267419 },
    {        0.00000000010,        2.15201941222,    85502.38501632259 },
    {        0.00000000010,        2.43032033570,    52698.38370124219 },
    {        0.00000000012,        5.21081550816,    25551.09862947879 },
    {        0.00000000013,        2.74248443392,    42153.96900304900 },
    {        0.00000000009,        5.60699637563,    27684.08958385880 },
    {        0.00000000009,        1.26689967531,    76667.52298243798 },
    {        0.00000000010,        3.89379538762,   156100.82065856917 },
    {        0.00000000012,        1.39954193335,    51543.02254383520 },
    {        0.00000000012,        1.52257139502,    20760.42703319140 },
    {        0.00000000009,        4.20492959289,   182085.63102592478 },
    {        0.00000000011,        0.66834392142,    22759.76748529401 },
    {        0.00000000010,        1.22929752466,     2648.45482547300 },
    {        0.00000000009,        3.54074354837,    22747.29071487440 },
    {        0.00000000010,        0.12918931028,    29416.03879785439 },
    {        0.00000000011,        1.24509960603,    52125.80966124419 },
    {        0.00000000011,        5.24371045714,   170049.17029103660 },
    {        0.00000000009,        1.96952049653,    51528.79544983359 },
    {        0.00000000008,        1.23297900240,   129387.24732468258 },
    {        0.00000000010,        0.46604003447,    26624.70765366959 },
    {        0.00000000009,        1.88003142152,    25565.32572348040 },
    {        0.00000000008,        5.66609855382,   161079.37234650398 },
    {        0.00000000010,        5.37595917575,   104778.21075717278 },
    {        0.00000000010,        4.32195478071,    10021.83728009940 },
    {        0.00000000008,        4.28630606896,   157483.01859105378 },
    {        0.00000000010,        1.11167068209,   172402.03644480839 },
    {        0.00000000008,        3.86388656968,    24864.08530079559 },
    {        0.00000000010,        4.98434698939,    61279.71327726600 },
    {        0.00000000008,        1.68789367623,   141762.17980617538 },
    {        0.00000000008,        3.27159786562,    27311.72098235281 },
    {        0.00000000010,        4.04735211723,    72936.23331633979 },
    {        0.00000000009,        0.66661949850,      522.57741809380 },
    {        0.00000000008,        2.11915755526,   111590.28815789679 },
    {        0.00000000010,        3.96196817321,    26094.53170047421 },
    {        0.00000000009,        5.97899217610,   209812.60368468694 },
    {        0.00000000008,        5.90414175287,   130446.62925487179 },
    {        0.00000000009,        4.70218884623,    26190.99591579279 },
    {        0.00000000007,        5.00028838110,     7880.08915333899 },
    {        0.00000000007,        0.27662602620,   105307.21230790539 },
    {        0.00000000008,        3.59796141286,   110634.68841628819 },
    {        0.00000000006,        4.71394306694,    78417.48823520739 },
    {        0.00000000007,        5.65972341474,   129799.61842155698 },
    {        0.00000000006,        1.30176713541,    78903.60671103658 },
    {        0.00000000007,        0.48324947354,   204151.27163553477 },
    {        0.00000000006,        2.68955966786,   130459.18546877075 },
    {        0.00000000006,        3.91194449990,   123668.80510662538 },
    {        0.00000000006,        4.25610046715,   121335.60871375339 },
    {        0.00000000006,        4.39774898148,   145204.75475114078 },
    {        0.00000000006,        2.03358239461,   130652.81480330898 },
    {        0.00000000006,        5.10307826199,    13362.44970679920 },
    {        0.00000000007,        5.73368412719,   150244.34299945380 },
    {        0.00000000007,        1.79893081867,   129373.02023068098 },
    {        0.00000000006,        1.60220757410,    31415.37924995700 },
    {        0.00000000005,        5.33587354070,    77726.90491262719 },
    {        0.00000000006,        0.69127308024,   103932.12792242158 },
    {        0.00000000006,        1.30528239429,   103917.90082841998 },
    {        0.00000000007,        3.42052770753,    25881.71759313700 },
    {        0.00000000006,        0.20662663852,   128220.75860368418 },
    {        0.00000000006,        1.76394381916,    76681.75007643958 },
    {        0.00000000005,        1.55332352133,    65831.66677432480 },
    {        0.00000000005,        0.39891046615,   203041.89308344139 },
    {        0.00000000005,        5.00920311857,   154938.34595416137 },
    {        0.00000000007,        0.07541993490,   130432.40216087017 },
    {        0.00000000005,        3.95655297699,    25440.89230825939 },
    {        0.00000000005,        1.60878156139,    25984.81036735560 },
    {        0.00000000005,        5.63420105001,   130435.63437251298 },
    {        0.00000000005,        5.71235725527,    52225.80290505260 },
    {        0.00000000005,        4.82602182938,   123200.84011627098 },
    {        0.00000000005,        4.28914322665,    51707.84129279399 },
    {        0.00000000005,        2.45008961451,   132028.58860315479 },
    {        0.00000000005,        3.44380232013,   130226.21661243298 },
    {        0.00000000005,        0.69360997254,   126996.94076290558 },
    {        0.00000000005,        1.20349712708,   233731.74634397859 },
    {        0.00000000005,        4.94561230543,   137678.19129947099 },
    {        0.00000000005,        4.02914734341,   143005.66740785379 },
    {        0.00000000004,        3.15705475890,    78378.14871340781 },
    {        0.00000000005,        6.19462947577,     1478.86657406440 },
    {        0.00000000005,        6.19346173540,   132658.27281205778 },
    {        0.00000000004,        4.93966028252,   166740.70439565618 },
    {        0.00000000005,        5.83365858307,    68241.87214462319 },
    {        0.00000000005,        4.88444080196,    79330.20490191258 },
    {        0.00000000004,        1.49931528728,    26294.08869001139 },
    {        0.00000000004,        4.91166258069,   167850.08294774959 },
    {        0.00000000004,        0.51214147370,   156507.74908854539 },
    {        0.00000000004,        2.48188443978,    11610.55195837420 },
    {        0.00000000004,        5.18875909536,      206.18554843720 },
    {        0.00000000004,        4.96587091153,    77630.92568540938 },
    {        0.00000000004,        2.56954562406,   137210.22630911658 },
    {        0.00000000005,        6.06172636184,     3340.61242669980 },
    {        0.00000000004,        2.59361967134,     6681.22485339960 },
    {        0.00000000004,        3.98182896060,    52712.61079524379 },
    {        0.00000000004,        1.85196935264,    87367.61641884019 },
    {        0.00000000004,        2.97167846271,    80596.90581759460 },
    {        0.00000000004,        0.38918279754,    52595.29092702359 },
    {        0.00000000005,        5.71555094572,    32769.12799497380 },
    {        0.00000000004,        2.86579870082,   128320.75184749259 },
    {        0.00000000004,        0.86678424442,    75930.51303185058 },
    {        0.00000000004,        5.77822773684,    78731.67441507700 },
    {        0.00000000003,        4.14814530126,    25867.49049913539 },
    {        0.00000000004,        2.65786568260,    75615.25459924959 },
    {        0.00000000004,        1.05721792395,   183570.92173262799 },
    {        0.00000000004,        3.26707290101,    80382.47328510099 },
    {        0.00000000004,        2.14799227897,   130866.11389874699 },
    {        0.00000000004,        3.39584566237,    55503.94193942859 },
    {        0.00000000004,        3.05837967978,   115674.27666460119 },
    {        0.00000000004,        6.04280069605,   233681.74972207437 },
    {        0.00000000004,        3.63969036598,    78149.27013603736 },
    {        0.00000000004,        1.85496913222,   116783.65521669458 },
    {        0.00000000004,        3.24711503875,   103498.41618454478 },
    {        0.00000000003,        5.41660260354,    52609.51802102519 },
    {        0.00000000003,        1.52254818578,   183674.70392120857 },
    {        0.00000000004,        2.41183349287,     3328.13565628019 },
    {        0.00000000004,        3.99911605099,      956.28915597060 },
    {        0.00000000003,        4.42494674720,   102755.42612401219 },
    {        0.00000000003,        3.85632951990,   156531.30018480320 },
    {        0.00000000003,        5.43028376893,    79315.97780791098 },
    {        0.00000000004,        1.56175361682,      149.56319713460 },
    {        0.00000000003,        3.98774685670,   183145.01295611399 },
    {        0.00000000003,        5.35092623925,    77616.69859140778 },
    {        0.00000000003,        0.90485441793,       76.26607127560 },
    {        0.00000000004,        2.70337567475,   133882.09065283637 },
    {        0.00000000004,        2.08518328683,    78114.14622758799 },
    {        0.00000000003,        2.33953532580,    86143.79857806159 },
    {        0.00000000004,        0.81158752062,   182188.72380014337 },
    {        0.00000000003,        2.11502738121,   196137.07343261078 },
    {        0.00000000003,        0.95681396301,    12546.48193908300 },
    {        0.00000000003,        1.37222728295,   181026.24909573558 },
    {        0.00000000003,        2.23536000215,   417406.45026518719 },
    {        0.00000000003,        5.37165007510,   240452.46032331997 },
    {        0.00000000003,        1.20257903149,    44295.71712980940 },
    {        0.00000000003,        0.52673171914,   136722.59155786238 },
    {        0.00000000003,        0.52016201639,    71582.48457132299 },
    {        0.00000000003,        3.50325656987,    49842.60989027639 },
    {        0.00000000003,        3.62611352126,    53029.00266490040 },
    {        0.00000000003,        1.62670747573,   104505.39137678158 },
    {        0.00000000003,        3.48868699337,    51219.51712717779 },
    {        0.00000000002,        3.67511083910,    19406.67828817460 },
    {        0.00000000003,        0.39109925063,    66653.15746634839 },
    {        0.00000000003,        2.84800545852,   235900.50682626115 },
    {        0.00000000002,        5.66788822044,    52381.99183158559 },
    {        0.00000000003,        5.55181174326,    78786.28684281638 },
    {        0.00000000002,        4.88074649960,    64901.25971792339 },
    {        0.00000000003,        1.50061931360,    52278.89905736699 },
    {        0.00000000002,        1.30186439584,    96357.08412427259 },
    {        0.00000000002,        4.21971266464,   198489.93958638259 },
    {        0.00000000003,        2.00366252191,   181659.72224941078 },
    {        0.00000000002,        3.71342666703,    48847.67062686820 },
    {        0.00000000002,        5.93200805535,    16066.06586147480 },
    {        0.00000000002,        1.05718481660,   208173.53416749899 },
    {        0.00000000003,        2.15332656359,      103.09277421860 },
    {        0.00000000002,        4.39182749038,   155475.15046625677 },
    {        0.00000000003,        4.28206460476,    78213.71280281838 },
    {        0.00000000003,        5.86398017019,    48835.19385644859 },
    {        0.00000000002,        2.36207569977,    53771.99272543299 },
    {        0.00000000002,        1.56910769250,   163766.09444104519 },
    {        0.00000000002,        2.59173243384,    50483.64061364600 },
    {        0.00000000003,        4.91698084392,   102769.65321801379 },
    {        0.00000000002,        2.55209144895,   176332.24614102798 },
    {        0.00000000002,        5.16963361594,    27669.86248985719 },
    {        0.00000000002,        1.10612817954,     1162.47470440780 },
    {        0.00000000002,        2.31962293255,    34082.43158359840 },
    {        0.00000000002,        2.51789048589,    51951.46148744649 },
    {        0.00000000002,        2.36943618837,    78187.44335344699 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B2_MERCURY[] =
  {
    {        0.00002747165,        5.24567337999,    26087.90314157420 },
    {        0.00002047257,        0.00000000000,        0.00000000000 },
    {        0.00000516030,        0.49321133154,    52175.80628314840 },
    {        0.00000407309,        4.32215500849,    78263.70942472259 },
    {        0.00000266936,        1.42744634495,   104351.61256629678 },
    {        0.00000133544,        4.61055165903,   130439.51570787099 },
    {        0.00000056956,        1.44017544018,   156527.41884944518 },
    {        0.00000022049,        4.52127237069,   182615.32199101939 },
    {        0.00000008008,        1.30182043008,   208703.22513259359 },
    {        0.00000002781,        4.35468456951,   234791.12827416777 },
    {        0.00000001304,        2.02991901716,    27197.28169366760 },
    {        0.00000000934,        1.11727595126,   260879.03141574195 },
    {        0.00000000511,        4.80027921181,    24978.52458948080 },
    {        0.00000000433,        5.13987059401,    53285.18483524180 },
    {        0.00000000413,        1.75599872832,    51066.42773105500 },
    {        0.00000000306,        4.15800645361,   286966.93455731618 },
    {        0.00000000236,        4.88575156209,    77154.33087262919 },
    {        0.00000000123,        3.39712849299,    51116.42435295920 },
    {        0.00000000113,        1.69721095056,   103242.23401420339 },
    {        0.00000000109,        4.54767694492,    31749.23519072640 },
    {        0.00000000108,        5.93327424680,    21535.94964451540 },
    {        0.00000000078,        5.68234392096,    27043.50288318280 },
    {        0.00000000098,        0.91744844557,   313054.83769889036 },
    {        0.00000000065,        1.90438129465,    79373.08797681599 },
    {        0.00000000049,        4.78044793954,   129330.13715577759 },
    {        0.00000000053,        2.39315457975,    50586.73338786459 },
    {        0.00000000041,        1.89540481457,    28306.66024576099 },
    {        0.00000000042,        1.13215562166,    20426.57109242200 },
    {        0.00000000040,        5.86412789562,    47623.85278608960 },
    {        0.00000000036,        2.38000382517,    53131.40602475700 },
    {        0.00000000040,        0.82891454094,    37410.56723987860 },
    {        0.00000000034,        1.74213345173,    25132.30339996560 },
    {        0.00000000036,        4.80372288439,    46514.47423399620 },
    {        0.00000000030,        5.75393949543,    22645.32819660879 },
    {        0.00000000035,        5.51811815210,      529.69096509460 },
    {        0.00000000029,        5.15973032252,    23869.14603738740 },
    {        0.00000000029,        2.04610351418,    72602.37737557039 },
    {        0.00000000027,        5.07400464228,     1109.37855209340 },
    {        0.00000000031,        3.94180796281,   339142.74084046460 },
    {        0.00000000024,        4.46907480172,    51220.20654153979 },
    {        0.00000000027,        4.50770662559,    32858.61374281979 },
    {        0.00000000023,        5.00540243174,    54394.56338733519 },
    {        0.00000000025,        6.03143676776,    25028.52121138500 },
    {        0.00000000022,        4.97381466604,    26107.57290247399 },
    {        0.00000000021,        2.35286083421,    26617.59410666880 },
    {        0.00000000023,        3.65155458684,    25558.21217647960 },
    {        0.00000000019,        1.56301436637,   155418.04029735178 },
    {        0.00000000023,        0.21718413372,    51646.11531805379 },
    {        0.00000000018,        1.62952557958,    26084.02180621620 },
    {        0.00000000017,        1.10257903328,    57837.13833230060 },
    {        0.00000000018,        5.97011387153,    52705.49724824299 },
    {        0.00000000022,        5.72062354443,    77204.32749453338 },
    {        0.00000000016,        3.15376195838,    53235.18821333759 },
    {        0.00000000016,        1.95864204506,    49957.04917896160 },
    {        0.00000000016,        3.95804080297,    63498.47038145279 },
    {        0.00000000019,        5.27215888569,    98690.28051714458 },
    {        0.00000000017,        5.49404503835,    14765.23904326980 },
    {        0.00000000019,        3.33825173375,    43071.89928903080 },
    {        0.00000000015,        6.15675923639,     4551.95349705880 },
    {        0.00000000020,        6.08858427909,    26068.23338067440 },
    {        0.00000000014,        5.89923942766,    25874.60404613620 },
    {        0.00000000018,        4.82964144481,     1589.07289528380 },
    {        0.00000000014,        1.07537737789,    77308.10968311399 },
    {        0.00000000017,        3.14783569710,    26091.78447693220 },
    {        0.00000000014,        3.32356467619,    25661.30495069820 },
    {        0.00000000016,        5.27195291262,    76674.63652943878 },
    {        0.00000000014,        1.10462125133,    39609.65458316560 },
    {        0.00000000014,        4.25602450030,    51535.90899683439 },
    {        0.00000000017,        1.33800696335,    58946.51688439399 },
    {        0.00000000016,        2.52350108526,    19317.19254032860 },
    {        0.00000000012,        2.79038116103,    40853.14218484400 },
    {        0.00000000012,        1.85567065198,   103292.23063610759 },
    {        0.00000000014,        4.37656794787,    56727.75978020720 },
    {        0.00000000015,        5.47646255736,    25973.46385288896 },
    {        0.00000000011,        5.96971832495,    27147.28507176339 },
    {        0.00000000012,        2.70038843071,    41962.52073693740 },
    {        0.00000000013,        1.60466136746,    26202.34243025941 },
    {        0.00000000010,        3.38206384741,    24498.83024629040 },
    {        0.00000000011,        5.82335799292,    48733.23133818299 },
    {        0.00000000013,        2.82164927320,    78793.40038981718 },
    {        0.00000000011,        0.07458891736,    79323.09135491178 },
    {        0.00000000009,        2.11663162533,    26095.01668857500 },
    {        0.00000000009,        1.32867484444,    29530.47808653960 },
    {        0.00000000009,        0.82317919987,   365230.64398203877 },
    {        0.00000000011,        2.51982070610,      213.29909543800 },
    {        0.00000000009,        5.61255100580,    45405.09568190280 },
    {        0.00000000008,        0.51052335690,   110012.94461544899 },
    {        0.00000000008,        3.57838242313,     9103.90699411760 },
    {        0.00000000011,        3.16612623037,    10213.28554621100 },
    {        0.00000000009,        1.17806980890,    82815.66292178139 },
    {        0.00000000007,        4.44614528188,    55618.38122811380 },
    {        0.00000000010,        1.64021877585,    30639.85663863300 },
    {        0.00000000007,        3.01288118296,    33326.57873317420 },
    {        0.00000000010,        6.01140407134,    36301.18868778519 },
    {        0.00000000007,        2.76299517138,    83925.04147387479 },
    {        0.00000000009,        1.93819742025,   124778.18365871879 },
    {        0.00000000007,        5.86071538076,    26301.20223701220 },
    {        0.00000000009,        2.91823648304,    26080.78959457339 },
    {        0.00000000008,        1.31267725201,     3442.57494496540 },
    {        0.00000000007,        3.27939983168,    16983.99614745660 },
    {        0.00000000007,        2.72030070524,    51749.20809227239 },
    {        0.00000000009,        1.66808932215,    50057.04242277000 },
    {        0.00000000007,        5.03188425899,    76044.95232053580 },
    {        0.00000000006,        5.00360500512,    79219.30916633119 },
    {        0.00000000007,        6.07818216662,        7.11354700080 },
    {        0.00000000007,        5.25223733427,   129380.13377768178 },
    {        0.00000000006,        0.66028465921,    38519.94579197200 },
    {        0.00000000008,        1.46897620912,    27676.97603685800 },
    {        0.00000000006,        3.89297153700,   136100.84775702318 },
    {        0.00000000006,        1.42686898116,     1059.38193018920 },
    {        0.00000000007,        4.44152723528,    15874.61759536320 },
    {        0.00000000006,        4.59565794787,   181505.94343892598 },
    {        0.00000000007,        6.07267965515,    66941.04532641819 },
    {        0.00000000006,        3.24607855066,    52389.10537858640 },
    {        0.00000000005,        4.06197322543,   103396.01282468818 },
    {        0.00000000005,        0.20766621493,    69159.80243060499 },
    {        0.00000000007,        5.63268204588,   104881.30353139139 },
    {        0.00000000006,        4.70546255833,    52290.24557183361 },
    {        0.00000000005,        5.48898995924,     5661.33204915220 },
    {        0.00000000006,        2.60268608066,      639.89728631400 },
    {        0.00000000005,        3.75395808867,     1066.49547719000 },
    {        0.00000000005,        2.27447016547,    52061.36699446317 },
    {        0.00000000006,        5.59309697114,    23754.70674870219 },
    {        0.00000000006,        3.30437999047,    51962.50718771040 },
    {        0.00000000005,        2.83333016549,    77734.01845962799 },
    {        0.00000000004,        4.18886248495,     2218.75710418680 },
    {        0.00000000004,        5.44996443878,    25448.00585526019 },
    {        0.00000000004,        2.49467694933,     6283.07584999140 },
    {        0.00000000005,        5.70870935931,     2118.76386037840 },
    {        0.00000000005,        3.22395783989,   105410.99449648599 },
    {        0.00000000004,        0.09916856221,    13655.86049117640 },
    {        0.00000000005,        0.59973221538,      955.59974160860 },
    {        0.00000000004,        1.80254747407,    80482.46652890938 },
    {        0.00000000003,        5.23309315292,    64741.95798313119 },
    {        0.00000000003,        2.39330094298,    38654.05484155699 },
    {        0.00000000003,        2.57458433543,   155468.03691925600 },
    {        0.00000000004,        5.07115322045,    78267.59076008058 },
    {        0.00000000004,        5.77967325372,    26514.50133245020 },
    {        0.00000000003,        2.30148151750,    73711.75592766379 },
    {        0.00000000004,        4.21727708992,     1052.26838318840 },
    {        0.00000000003,        2.46345351544,      426.59819087600 },
    {        0.00000000003,        4.25457558968,   108903.56606335558 },
    {        0.00000000003,        5.13279896483,   150866.08680029298 },
    {        0.00000000003,        4.72421832023,    18849.22754997420 },
    {        0.00000000003,        6.11593310720,    59414.48187474840 },
    {        0.00000000003,        2.48879559400,    71492.99882347698 },
    {        0.00000000003,        4.47643302630,    53764.87917843220 },
    {        0.00000000004,        6.14344706234,    78477.00852016058 },
    {        0.00000000003,        1.51533003761,    28421.09953444620 },
    {        0.00000000003,        0.71956036719,    11322.66409830440 },
    {        0.00000000003,        2.67348379860,    74821.13447975718 },
    {        0.00000000003,        0.79945669251,   162188.75089859738 },
    {        0.00000000003,        2.14815045285,    78244.03966382280 },
    {        0.00000000003,        2.82222191238,    62389.09182935939 },
    {        0.00000000003,        2.76748201992,    52602.40447402440 },
    {        0.00000000003,        1.96898352930,   102762.53967101299 },
    {        0.00000000002,        1.16780835398,    78283.37918562238 },
    {        0.00000000002,        4.47449945171,    12566.15169998280 },
    {        0.00000000003,        2.88047183180,    93028.94846799239 },
    {        0.00000000002,        3.80780256116,    64607.84893354619 },
    {        0.00000000002,        1.27798847041,    81706.28436968799 },
    {        0.00000000002,        1.54584958809,    28206.66700195260 },
    {        0.00000000003,        1.17857208902,    77623.81213840858 },
    {        0.00000000002,        4.88982108835,    68050.42387851159 },
    {        0.00000000002,        2.64659209004,   130969.20667296558 },
    {        0.00000000002,        0.77279881726,   129483.91596626239 },
    {        0.00000000002,        4.19328099887,    78259.82808936459 },
    {        0.00000000002,        1.80053876257,      853.19638175200 },
    {        0.00000000002,        2.85455305411,     7994.52844202420 },
    {        0.00000000002,        4.55116089785,    52156.13652224860 },
    {        0.00000000002,        4.39479757391,    85034.42002596818 },
    {        0.00000000002,        0.20942265156,    88476.99497093359 },
    {        0.00000000002,        1.26254478035,    79852.78232000639 },
    {        0.00000000002,        3.89150722320,   391318.54712361295 },
    {        0.00000000002,        2.04228268324,    13521.75144159140 },
    {        0.00000000002,        1.63162182525,    52179.68761850640 },
    {        0.00000000002,        0.06540438917,   131498.89763806018 },
    {        0.00000000002,        2.37116664144,    94138.32702008578 },
    {        0.00000000002,        5.93228693986,    52168.69273614759 },
    {        0.00000000002,        3.72472287325,    65697.55772473979 },
    {        0.00000000002,        3.93660707629,    99799.65906923798 },
    {        0.00000000002,        4.86329180578,   131548.89425996438 },
    {        0.00000000002,        3.49584320658,    52195.47604404819 },
    {        0.00000000002,        4.53167102336,    76144.94556434419 },
    {        0.00000000002,        0.10881384247,     6770.71060124560 },
    {        0.00000000002,        1.48407007502,   105307.21230790539 },
    {        0.00000000002,        1.81828652056,   102132.85546210999 },
    {        0.00000000002,        3.75274548640,   105460.99111839019 },
    {        0.00000000002,        5.33436795308,   104331.94280539699 },
    {        0.00000000001,        0.16054262075,    52171.92494779040 },
    {        0.00000000002,        5.19574633584,    51322.60990139639 },
    {        0.00000000002,        5.79451235679,   103821.92160120218 },
    {        0.00000000001,        4.31275936318,   104371.28232719658 },
    {        0.00000000002,        5.87361011941,   181555.94006083018 },
    {        0.00000000001,        0.84208500803,    51123.53789995999 },
    {        0.00000000001,        5.83424113870,   120226.23016165999 },
    {        0.00000000001,        1.49109031037,    78378.14871340781 },
    {        0.00000000001,        2.29392399306,   104355.49390165479 },
    {        0.00000000001,        1.63896473054,   125887.56221081219 },
    {        0.00000000001,        3.95295093204,   188276.65404017159 },
    {        0.00000000001,        0.96789367427,    44937.13069154840 },
    {        0.00000000002,        1.30685997283,    51109.31080595839 },
    {        0.00000000002,        0.18671610339,    25021.40766438420 },
    {        0.00000000001,        0.95826401920,   104347.73123093879 },
    {        0.00000000001,        5.52121474401,    97580.90196505119 },
    {        0.00000000002,        0.59513540388,    35191.81013569180 },
    {        0.00000000001,        5.15925373621,    19804.82729158280 },
    {        0.00000000001,        0.65006628215,    78050.41032928458 },
    {        0.00000000002,        1.90450740831,    23969.13928119580 },
    {        0.00000000001,        4.32826013352,    77837.11123384659 },
    {        0.00000000001,        4.65423180642,    78256.59587772179 },
    {        0.00000000001,        4.01765755434,    45892.73043315699 },
    {        0.00000000001,        1.06205727030,   134991.46920492980 },
    {        0.00000000001,        5.91135191152,    26727.80042788820 },
    {        0.00000000001,        5.33774808422,    78149.27013603736 },
    {        0.00000000001,        5.78198423150,    91785.46086631398 },
    {        0.00000000001,        2.96773065217,   129909.82474277639 },
    {        0.00000000001,        3.30975819180,    39743.76363275060 },
    {        0.00000000001,        6.10771078765,    25035.63475838580 },
    {        0.00000000001,        5.67221349248,    52182.91983014920 },
    {        0.00000000001,        2.48518819686,    90829.86112470538 },
    {        0.00000000001,        4.24431178719,    78270.82297172339 },
    {        0.00000000001,        3.23031265434,     7238.67559160000 },
    {        0.00000000001,        3.34535840387,   114564.89811250778 },
    {        0.00000000001,        3.87498999181,    71025.03383312259 },
    {        0.00000000001,        0.37439113949,    78690.30761559859 },
    {        0.00000000001,        3.33731181959,   104564.91166173479 },
    {        0.00000000001,        5.11692827664,   151975.46535238638 },
    {        0.00000000001,        2.03914564106,   176953.98994186718 },
    {        0.00000000001,        6.15951882831,    70269.18098269838 },
    {        0.00000000001,        1.26757694099,   104358.72611329758 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B3_MERCURY[] =
  {
    {        0.00000064680,        2.16518315874,    26087.90314157420 },
    {        0.00000030733,        0.00000000000,        0.00000000000 },
    {        0.00000018929,        5.40870348072,    52175.80628314840 },
    {        0.00000009797,        2.41402344018,    78263.70942472259 },
    {        0.00000006861,        5.88312096876,   104351.61256629678 },
    {        0.00000004367,        2.88362764626,   130439.51570787099 },
    {        0.00000002344,        6.05581664620,   156527.41884944518 },
    {        0.00000001105,        2.89178837278,   182615.32199101939 },
    {        0.00000000475,        5.98256115875,   208703.22513259359 },
    {        0.00000000191,        2.77298018505,   234791.12827416777 },
    {        0.00000000073,        5.83474996935,   260879.03141574195 },
    {        0.00000000027,        2.60945701067,   286966.93455731618 },
    {        0.00000000024,        3.87337367986,    27197.28169366760 },
    {        0.00000000016,        1.06059146335,    24978.52458948080 },
    {        0.00000000008,        5.66780041298,   313054.83769889036 },
    {        0.00000000006,        5.58854950623,    51066.42773105500 },
    {        0.00000000007,        3.08546607033,    77154.33087262919 },
    {        0.00000000005,        0.02983831713,   103242.23401420339 },
    {        0.00000000003,        2.47133249668,   339142.74084046460 },
    {        0.00000000002,        1.54850606185,     1109.37855209340 },
    {        0.00000000003,        1.80338603638,    53285.18483524180 },
    {        0.00000000002,        3.17513673341,   129330.13715577759 },
    {        0.00000000002,        0.12967223359,    79373.08797681599 },
    {        0.00000000001,        5.35275811299,    20426.57109242200 },
    {        0.00000000001,        1.51126337634,    21535.94964451540 },
    {        0.00000000001,        2.60937074595,    46514.47423399620 },
    {        0.00000000001,        4.35415847538,    25132.30339996560 },
    {        0.00000000001,        0.01495555420,     1059.38193018920 },
    {        0.00000000001,        0.38681085251,    31749.23519072640 },
    {        0.00000000001,        1.49317898303,    27043.50288318280 },
    {        0.00000000001,        1.37353507736,     1589.07289528380 },
    {        0.00000000001,        4.03577664541,     4551.95349705880 },
    {        0.00000000001,        3.34548299714,   105460.99111839019 },
    {        0.00000000001,        5.16936349855,    25028.52121138500 },
    {        0.00000000001,        0.11390654963,     5661.33204915220 },
    {        0.00000000001,        1.41108698419,    47623.85278608960 },
    {        0.00000000001,        6.25128044210,   155418.04029735178 },
    {        0.00000000000,        5.54564708703,   365230.64398203877 },
    {        0.00000000001,        6.08850785156,    51116.42435295920 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B4_MERCURY[] =
  {
    {        0.00000001427,        4.97519726738,    26087.90314157420 },
    {        0.00000000491,        3.14159265359,        0.00000000000 },
    {        0.00000000336,        3.19691284098,    52175.80628314840 },
    {        0.00000000243,        0.57739947651,    78263.70942472259 },
    {        0.00000000170,        4.04262780835,   104351.61256629678 },
    {        0.00000000120,        1.12342918082,   130439.51570787099 },
    {        0.00000000076,        4.36272648537,   156527.41884944518 },
    {        0.00000000043,        1.23406162348,   182615.32199101939 },
    {        0.00000000022,        4.35637189777,   208703.22513259359 },
    {        0.00000000010,        1.16395130801,   234791.12827416777 },
    {        0.00000000004,        4.27354172628,   260879.03141574195 },
    {        0.00000000001,        1.02393401255,   286966.93455731618 },
    {        0.00000000000,        4.13470035458,   313054.83769889036 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B5_MERCURY[] =
  {
    {        0.00000000009,        1.38311629808,    52175.80628314840 },
    {        0.00000000008,        5.38548752147,    26087.90314157420 },
    {        0.00000000006,        4.90804019263,    78263.70942472259 },
    {        0.00000000006,        0.00000000000,        0.00000000000 },
    {        0.00000000004,        2.13779173141,   104351.61256629678 },
    {        0.00000000003,        5.58133586504,   130439.51570787099 },
    {        0.00000000002,        2.64274667677,   156527.41884944518 },
    {        0.00000000001,        5.83772628756,   182615.32199101939 },
    {        0.00000000001,        2.68770315459,   208703.22513259359 },
    {        0.00000000000,        5.84365103714,   234791.12827416777 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R0_MERCURY[] =
  {
    {        0.39528271651,        0.00000000000,        0.00000000000 },
    {        0.07834131818,        6.19233722598,    26087.90314157420 },
    {        0.00795525558,        2.95989690104,    52175.80628314840 },
    {        0.00121281764,        6.01064153797,    78263.70942472259 },
    {        0.00021921969,        2.77820093972,   104351.61256629678 },
    {        0.00004354065,        5.82894543774,   130439.51570787099 },
    {        0.00000918228,        2.59650562845,   156527.41884944518 },
    {        0.00000260033,        3.02817753901,    27197.28169366760 },
    {        0.00000289955,        1.42441937278,    25028.52121138500 },
    {        0.00000201855,        5.64725040577,   182615.32199101939 },
    {        0.00000201498,        5.59227727403,    31749.23519072640 },
    {        0.00000141980,        6.25264206514,    24978.52458948080 },
    {        0.00000100144,        3.73435615066,    21535.94964451540 },
    {        0.00000077561,        3.66972523786,    20426.57109242200 },
    {        0.00000063277,        4.29905566028,    25558.21217647960 },
    {        0.00000062951,        4.76588960835,     1059.38193018920 },
    {        0.00000066753,        2.52520325806,     5661.33204915220 },
    {        0.00000075500,        4.47428643135,    51116.42435295920 },
    {        0.00000048265,        6.06824353565,    53285.18483524180 },
    {        0.00000045748,        2.41480951848,   208703.22513259359 },
    {        0.00000035224,        1.05917819542,    27043.50288318280 },
    {        0.00000040815,        2.35882025197,    57837.13833230060 },
    {        0.00000044235,        1.21957279824,    15874.61759536320 },
    {        0.00000033873,        0.86381554218,    25661.30495069820 },
    {        0.00000037203,        0.51733923686,    47623.85278608960 },
    {        0.00000030092,        1.79500457353,    37410.56723987860 },
    {        0.00000028417,        3.02063623857,    51066.42773105500 },
    {        0.00000030903,        0.88366672292,    24498.83024629040 },
    {        0.00000026105,        2.15021962878,    39609.65458316560 },
    {        0.00000018699,        4.96496134509,    11322.66409830440 },
    {        0.00000021270,        5.36857147632,    13521.75144159140 },
    {        0.00000019422,        4.98378705281,    10213.28554621100 },
    {        0.00000016941,        3.88764295060,    26617.59410666880 },
    {        0.00000015109,        0.44510551618,    46514.47423399620 },
    {        0.00000017087,        1.24077744063,    77204.32749453338 },
    {        0.00000013940,        1.62574000931,    27147.28507176339 },
    {        0.00000013383,        1.07656603755,    51646.11531805379 },
    {        0.00000015011,        4.28173416255,    41962.52073693740 },
    {        0.00000013977,        4.77056852962,    33326.57873317420 },
    {        0.00000012794,        6.06436868672,     1109.37855209340 },
    {        0.00000013938,        1.99984923769,    25132.30339996560 },
    {        0.00000016297,        2.63293566917,    19804.82729158280 },
    {        0.00000011932,        2.36500445252,     4551.95349705880 },
    {        0.00000010612,        5.46555459994,   234791.12827416777 },
    {        0.00000012754,        2.07611250810,      529.69096509460 },
    {        0.00000012068,        2.84997457341,    79373.08797681599 },
    {        0.00000009069,        1.21263578152,    14765.23904326980 },
    {        0.00000009491,        0.83697019037,    12566.15169998280 },
    {        0.00000009380,        5.41195321678,    83925.04147387479 },
    {        0.00000007499,        2.44636675464,    30639.85663863300 },
    {        0.00000007463,        5.53233826081,    32858.61374281979 },
    {        0.00000007216,        1.17101761775,    16983.99614745660 },
    {        0.00000008492,        3.56622963752,    73711.75592766379 },
    {        0.00000007109,        5.32625250539,      426.59819087600 },
    {        0.00000006862,        1.82314316379,    36301.18868778519 },
    {        0.00000006561,        4.27817269714,    43071.89928903080 },
    {        0.00000008853,        3.87737929181,    50586.73338786459 },
    {        0.00000006885,        5.31108684461,     1589.07289528380 },
    {        0.00000005943,        4.06893169924,    53131.40602475700 },
    {        0.00000007653,        3.91505034455,    51749.20809227239 },
    {        0.00000006460,        6.07127448610,    77154.33087262919 },
    {        0.00000005415,        5.20028106936,    65697.55772473979 },
    {        0.00000005185,        3.56743230013,     6283.07584999140 },
    {        0.00000004091,        3.67594128543,    22645.32819660879 },
    {        0.00000004075,        4.29142103675,   103292.23063610759 },
    {        0.00000004429,        5.69109395363,    45892.73043315699 },
    {        0.00000003426,        0.64910747902,    52705.49724824299 },
    {        0.00000003353,        3.49344693925,    72602.37737557039 },
    {        0.00000004120,        1.65386304528,    25448.00585526019 },
    {        0.00000003261,        1.03196144437,    68050.42387851159 },
    {        0.00000003278,        3.13863996522,    25874.60404613620 },
    {        0.00000003054,        4.12577608597,    77734.01845962799 },
    {        0.00000003614,        2.95861574665,    28306.66024576099 },
    {        0.00000002819,        4.62629009218,    18849.22754997420 },
    {        0.00000002746,        4.67880578050,    53235.18821333759 },
    {        0.00000002713,        3.56874904332,    26068.23338067440 },
    {        0.00000002507,        2.23312082053,   260879.03141574195 },
    {        0.00000003044,        5.90613444962,   105460.99111839019 },
    {        0.00000002755,        5.67587076777,    26107.57290247399 },
    {        0.00000002267,        2.17941292895,   110012.94461544899 },
    {        0.00000002274,        0.50174174314,    32370.97899156560 },
    {        0.00000002742,        4.75428269919,    63498.47038145279 },
    {        0.00000002792,        5.05148755419,    51220.20654153979 },
    {        0.00000002557,        2.95114104952,    26080.78959457339 },
    {        0.00000002134,        0.84627422908,    76674.63652943878 },
    {        0.00000001971,        0.47406458592,    48733.23133818299 },
    {        0.00000001965,        1.37420609579,     7238.67559160000 },
    {        0.00000002527,        0.34531752670,    23969.13928119580 },
    {        0.00000002022,        0.33828427611,    99799.65906923798 },
    {        0.00000001871,        3.93046887107,    38654.05484155699 },
    {        0.00000001873,        0.69327419506,    26091.78447693220 },
    {        0.00000001945,        2.37384000310,     6770.71060124560 },
    {        0.00000001863,        2.26591746342,    26084.02180621620 },
    {        0.00000001751,        5.50651542385,    56727.75978020720 },
    {        0.00000001971,        3.77456264986,    19317.19254032860 },
    {        0.00000001672,        2.15275736737,    26514.50133245020 },
    {        0.00000001703,        4.28966171001,    40853.14218484400 },
    {        0.00000001657,        4.98018779294,     9103.90699411760 },
    {        0.00000002084,        2.19427393480,    26301.20223701220 },
    {        0.00000001818,        4.20870875697,    25938.33994443960 },
    {        0.00000001780,        0.91702886288,    79219.30916633119 },
    {        0.00000001525,        2.15720853496,    27676.97603685800 },
    {        0.00000001533,        1.54508616302,      955.59974160860 },
    {        0.00000001614,        1.27565064366,    25035.63475838580 },
    {        0.00000001743,        0.68269075458,    77837.11123384659 },
    {        0.00000001389,        4.85102187945,    62389.09182935939 },
    {        0.00000001436,        0.05742724582,    23869.14603738740 },
    {        0.00000001563,        5.84795328174,    26095.01668857500 },
    {        0.00000001640,        4.66281344802,    25021.40766438420 },
    {        0.00000001552,        2.83910652908,   103242.23401420339 },
    {        0.00000001249,        1.97225258222,    91785.46086631398 },
    {        0.00000001160,        1.73111584811,    38519.94579197200 },
    {        0.00000001005,        1.05898298870,   129380.13377768178 },
    {        0.00000001041,        2.78034606280,      213.29909543800 },
    {        0.00000001105,        4.55512255263,    26011.63707029860 },
    {        0.00000000979,        2.43870368161,    71980.63357473118 },
    {        0.00000000853,        0.56324665532,    20760.42703319140 },
    {        0.00000000874,        4.53679289793,      639.89728631400 },
    {        0.00000000783,        3.69765164671,    78793.40038981718 },
    {        0.00000000772,        4.08714779937,    94138.32702008578 },
    {        0.00000000797,        0.26237404367,    98690.28051714458 },
    {        0.00000000965,        4.70783027902,    51535.90899683439 },
    {        0.00000000952,        2.53602802805,    29530.47808653960 },
    {        0.00000000773,        2.67894491727,   131548.89425996438 },
    {        0.00000000734,        0.89231112796,   103821.92160120218 },
    {        0.00000000668,        3.73107901174,    46848.33017476560 },
    {        0.00000000828,        2.88184295232,    19406.67828817460 },
    {        0.00000000622,        1.05579834092,    59414.48187474840 },
    {        0.00000000676,        4.50351834122,    25934.12433108940 },
    {        0.00000000602,        5.28398978680,   286966.93455731618 },
    {        0.00000000619,        1.44855125892,    79323.09135491178 },
    {        0.00000000692,        6.19755283456,    51962.50718771040 },
    {        0.00000000563,        5.22994157011,   136100.84775702318 },
    {        0.00000000782,        3.25255814520,    50057.04242277000 },
    {        0.00000000551,        0.33643935436,    52156.13652224860 },
    {        0.00000000705,        4.73700316767,    26241.68195205900 },
    {        0.00000000577,        5.85652683859,     2118.76386037840 },
    {        0.00000000517,        3.93204226280,   102762.53967101299 },
    {        0.00000000635,        4.87720835087,    12432.04265039780 },
    {        0.00000000635,        1.81903768364,    77308.10968311399 },
    {        0.00000000543,        1.40877750421,    44937.13069154840 },
    {        0.00000000557,        5.44313297566,    85034.42002596818 },
    {        0.00000000497,        3.39000246240,   125887.56221081219 },
    {        0.00000000546,        4.77993155620,    22747.29071487440 },
    {        0.00000000520,        6.00160827202,    52168.69273614759 },
    {        0.00000000463,        3.67555016973,    25668.41849769900 },
    {        0.00000000452,        3.53009642496,    58458.88213313979 },
    {        0.00000000474,        5.94337109404,    54394.56338733519 },
    {        0.00000000559,        2.44355298288,    52195.47604404819 },
    {        0.00000000418,        3.73372056542,   103925.01437542078 },
    {        0.00000000397,        0.69015519657,    64741.95798313119 },
    {        0.00000000511,        5.88239871682,    45494.58142974879 },
    {        0.00000000413,        2.26754821750,    82815.66292178139 },
    {        0.00000000425,        5.24513787195,    52389.10537858640 },
    {        0.00000000482,        0.98163319354,    25654.19140369739 },
    {        0.00000000380,        3.74414053506,    52179.68761850640 },
    {        0.00000000359,        5.50961175081,    26555.86813192860 },
    {        0.00000000375,        1.97919633246,      149.56319713460 },
    {        0.00000000385,        5.88994556216,   129330.13715577759 },
    {        0.00000000348,        4.91062953335,     1052.26838318840 },
    {        0.00000000418,        4.32915399414,    51123.53789995999 },
    {        0.00000000425,        1.43228900858,    51109.31080595839 },
    {        0.00000000464,        3.98651795995,   105307.21230790539 },
    {        0.00000000328,        5.20638855699,    52602.40447402440 },
    {        0.00000000354,        1.04382219765,    66941.04532641819 },
    {        0.00000000324,        1.62972553890,    88476.99497093359 },
    {        0.00000000378,        5.31677687871,    52171.92494779040 },
    {        0.00000000440,        1.46388471692,    89586.37352302698 },
    {        0.00000000355,        1.52732345644,     1066.49547719000 },
    {        0.00000000302,        5.21118830274,    53764.87917843220 },
    {        0.00000000301,        5.02488469326,   117873.36400788819 },
    {        0.00000000351,        2.00433655367,    24395.73747207180 },
    {        0.00000000289,        6.19161795579,    26094.53170047421 },
    {        0.00000000286,        3.77109546265,        7.11354700080 },
    {        0.00000000283,        3.10942945865,    49957.04917896160 },
    {        0.00000000385,        2.47186185031,    25234.70675982219 },
    {        0.00000000382,        0.97683948367,    52026.24308601380 },
    {        0.00000000271,        5.74773027334,    25455.11940226100 },
    {        0.00000000268,        2.86400819938,    80482.46652890938 },
    {        0.00000000375,        0.55193410863,    45405.09568190280 },
    {        0.00000000305,        6.00195610387,     2218.75710418680 },
    {        0.00000000259,        1.82926086584,    24505.94379329119 },
    {        0.00000000251,        4.10979366326,   155468.03691925600 },
    {        0.00000000289,        3.05374038036,    26081.27458267419 },
    {        0.00000000242,        5.05513759189,    42153.96900304900 },
    {        0.00000000244,        2.15545293562,     3442.57494496540 },
    {        0.00000000315,        2.61615796784,    52182.91983014920 },
    {        0.00000000256,        3.71118385343,    25619.93815121980 },
    {        0.00000000232,        2.21574125599,    16066.06586147480 },
    {        0.00000000233,        5.49032532532,    98068.53671630539 },
    {        0.00000000236,        4.08613786149,    26013.12154300690 },
    {        0.00000000225,        0.44436388903,    76144.94556434419 },
    {        0.00000000242,        3.29840670592,     6681.22485339960 },
    {        0.00000000227,        1.63241183250,       76.26607127560 },
    {        0.00000000268,        1.09036981144,    18093.37469954999 },
    {        0.00000000255,        4.20620893175,    44181.27784112419 },
    {        0.00000000205,        1.00335777675,    26190.99591579279 },
    {        0.00000000228,        1.46077026379,    77623.81213840858 },
    {        0.00000000198,        1.36691766564,    26727.80042788820 },
    {        0.00000000259,        1.28277618444,    13655.86049117640 },
    {        0.00000000196,        5.73310610578,   157636.79740153858 },
    {        0.00000000196,        0.06602563750,    40565.25432477420 },
    {        0.00000000187,        0.86191776388,   120226.23016165999 },
    {        0.00000000262,        4.14849890829,    24491.71669928959 },
    {        0.00000000244,        4.14398143655,    95247.70557217918 },
    {        0.00000000232,        5.45142204480,    33967.99229491319 },
    {        0.00000000206,        5.59194625667,    55618.38122811380 },
    {        0.00000000203,        1.64212864180,    58946.51688439399 },
    {        0.00000000188,        0.46231923609,   104881.30353139139 },
    {        0.00000000192,        1.82885117119,    25551.09862947879 },
    {        0.00000000200,        1.81390254289,    25863.55834587229 },
    {        0.00000000191,        5.57416790284,     5327.47610838280 },
    {        0.00000000195,        3.31299278224,   124778.18365871879 },
    {        0.00000000169,        1.69377804998,    90695.75207512039 },
    {        0.00000000226,        1.32358533633,    52099.54021187280 },
    {        0.00000000177,        3.29597559078,    25131.61398560359 },
    {        0.00000000178,        2.54736101162,    26720.68688088739 },
    {        0.00000000167,        3.61985108387,    23754.70674870219 },
    {        0.00000000159,        3.48407918441,    25977.69682035479 },
    {        0.00000000180,        3.94244458655,   129909.82474277639 },
    {        0.00000000150,        5.20173167043,    69159.80243060499 },
    {        0.00000000166,        0.40324154213,   100909.03762133139 },
    {        0.00000000175,        2.97505263315,    24925.42843716640 },
    {        0.00000000154,        1.27150748229,    25984.81036735560 },
    {        0.00000000144,        1.89329933647,    64607.84893354619 },
    {        0.00000000145,        2.05406539484,   313054.83769889036 },
    {        0.00000000152,        4.87194855231,   103396.01282468818 },
    {        0.00000000137,        3.86916799978,    24609.03656750980 },
    {        0.00000000141,        1.99766374692,   162188.75089859738 },
    {        0.00000000184,        6.09994107476,    23439.44831610119 },
    {        0.00000000135,        1.27330433084,    52022.02747266360 },
    {        0.00000000127,        0.70493065203,   128850.44281258718 },
    {        0.00000000142,        1.50690527956,    52329.58509363319 },
    {        0.00000000126,        2.70570221163,    28206.66700195260 },
    {        0.00000000123,        0.15653071499,   151975.46535238638 },
    {        0.00000000126,        1.61974134336,    48835.19385644859 },
    {        0.00000000137,        1.77314956898,    35191.81013569180 },
    {        0.00000000147,        4.50312078660,   105410.99449648599 },
    {        0.00000000125,        3.38986540694,    78244.03966382280 },
    {        0.00000000119,        2.77647833951,    78256.59587772179 },
    {        0.00000000156,        2.96636712768,    78050.41032928458 },
    {        0.00000000145,        1.35549047802,     3340.61242669980 },
    {        0.00000000126,        3.97012413964,    29428.51556827400 },
    {        0.00000000128,        5.41920055502,    26162.68474014150 },
    {        0.00000000110,        3.87981560343,    85502.38501632259 },
    {        0.00000000127,        5.49693348651,    78283.37918562238 },
    {        0.00000000132,        4.86941737016,    24712.12934172840 },
    {        0.00000000126,        0.94880137000,   121335.60871375339 },
    {        0.00000000129,        4.00700268674,    72936.23331633979 },
    {        0.00000000102,        0.50512246193,   130012.91751699499 },
    {        0.00000000104,        0.29867566906,    84546.78527471398 },
    {        0.00000000118,        0.76546423413,   131395.11544947958 },
    {        0.00000000120,        4.45274824615,    71025.03383312259 },
    {        0.00000000117,        3.31815509821,    25771.51127191760 },
    {        0.00000000110,        2.63255540457,    71582.48457132299 },
    {        0.00000000097,        2.66123209192,   155418.04029735178 },
    {        0.00000000113,        5.88929318039,    26404.29501123080 },
    {        0.00000000098,        2.01482697693,    78477.00852016058 },
    {        0.00000000103,        0.46436247195,    51756.32163927320 },
    {        0.00000000093,        2.37413256663,      419.48464387520 },
    {        0.00000000125,        1.88182927035,    26610.48055966799 },
    {        0.00000000096,        0.34531574235,    26507.38778544939 },
    {        0.00000000093,        3.80384593339,    26037.90651966999 },
    {        0.00000000091,        2.63070786684,    28421.09953444620 },
    {        0.00000000101,        5.21013194641,      433.71173787680 },
    {        0.00000000096,        4.47740402596,    77197.21394753258 },
    {        0.00000000108,        4.03687459562,    51742.09454527159 },
    {        0.00000000086,        5.14042481496,    26237.46633870879 },
    {        0.00000000092,        3.74350464437,    90829.86112470538 },
    {        0.00000000086,        1.86284853445,    27140.17152476259 },
    {        0.00000000102,        5.41450550369,    26137.89976347840 },
    {        0.00000000086,        4.01669468413,    10021.83728009940 },
    {        0.00000000100,        5.32148635395,   108903.56606335558 },
    {        0.00000000079,        4.68110092612,    27154.39861876420 },
    {        0.00000000092,        5.52113044538,    51322.60990139639 },
    {        0.00000000078,        2.87936468013,    29416.03879785439 },
    {        0.00000000092,        4.20287352869,    38813.35657634920 },
    {        0.00000000095,        4.44016161131,   115674.27666460119 },
    {        0.00000000104,        5.05012283418,    50483.64061364600 },
    {        0.00000000075,        1.78913882745,   143961.26714946239 },
    {        0.00000000086,        0.51446096218,    78267.59076008058 },
    {        0.00000000078,        4.66703507622,   114564.89811250778 },
    {        0.00000000078,        4.20154761010,     1692.16566950240 },
    {        0.00000000086,        4.03049198821,    78114.14622758799 },
    {        0.00000000073,        2.27348914847,    52643.77127350280 },
    {        0.00000000082,        3.73527269254,      853.19638175200 },
    {        0.00000000071,        4.89150234067,    50593.84693486539 },
    {        0.00000000082,        5.22634268892,    27999.10262479140 },
    {        0.00000000093,        1.09574629454,    77211.44104153418 },
    {        0.00000000074,        1.97836913639,    78690.30761559859 },
    {        0.00000000081,        3.59541157741,    71492.99882347698 },
    {        0.00000000084,        3.12386155848,    14477.35118320000 },
    {        0.00000000083,        4.10338349247,    93028.94846799239 },
    {        0.00000000067,        0.24252839986,    66653.15746634839 },
    {        0.00000000074,        5.66943570493,    78270.82297172339 },
    {        0.00000000068,        1.98243672712,    79852.78232000639 },
    {        0.00000000064,        6.15939675587,    76044.95232053580 },
    {        0.00000000064,        5.54602351082,    25764.39772491679 },
    {        0.00000000066,        2.28176331469,     7880.08915333899 },
    {        0.00000000087,        1.76987117922,    25440.89230825939 },
    {        0.00000000073,        2.06236786630,   111122.32316754239 },
    {        0.00000000078,        0.40395754320,    49842.60989027639 },
    {        0.00000000076,        2.65569010126,    34282.17847478280 },
    {        0.00000000064,        0.87551506766,   181555.94006083018 },
    {        0.00000000086,        2.08720558248,    78259.82808936459 },
    {        0.00000000074,        0.86495417245,    50579.61984086379 },
    {        0.00000000082,        1.02908415130,    74821.13447975718 },
    {        0.00000000062,        0.94022411884,    25344.91308104160 },
    {        0.00000000059,        2.45671910437,    51543.02254383520 },
    {        0.00000000058,        2.95861307962,    52182.43484204840 },
    {        0.00000000058,        4.20403945192,    96357.08412427259 },
    {        0.00000000061,        2.82454009227,    26202.34243025941 },
    {        0.00000000057,        2.27669644556,   124156.43985787958 },
    {        0.00000000057,        4.37128574888,     1581.95934828300 },
    {        0.00000000055,        0.13527477543,    25973.46385288896 },
    {        0.00000000054,        4.79282641675,    26164.16921284980 },
    {        0.00000000054,        3.05808651891,    25565.32572348040 },
    {        0.00000000055,        4.51468564617,   103711.71527998279 },
    {        0.00000000054,        3.87184860299,    18207.81398823521 },
    {        0.00000000053,        4.32466503961,    70269.18098269838 },
    {        0.00000000054,        4.62370746060,    25881.71759313700 },
    {        0.00000000050,        2.50076265786,   183724.70054311279 },
    {        0.00000000058,        2.06199777270,     1596.18644228460 },
    {        0.00000000065,        5.20218241390,    26294.08869001139 },
    {        0.00000000047,        0.85032665275,    52101.02468458109 },
    {        0.00000000058,        1.43376641232,    23866.04650697719 },
    {        0.00000000048,        2.35325985848,    81706.28436968799 },
    {        0.00000000052,        0.18584318278,    92741.06060792258 },
    {        0.00000000053,        0.58740318705,    26624.70765366959 },
    {        0.00000000061,        2.61531397472,    49527.35145767539 },
    {        0.00000000047,        3.88425610956,   146314.13330323418 },
    {        0.00000000049,        6.20238177120,    32769.12799497380 },
    {        0.00000000053,        4.37477924787,    78187.44335344699 },
    {        0.00000000048,        5.97927376895,    51013.33157874059 },
    {        0.00000000048,        3.83871061840,   102232.84870591838 },
    {        0.00000000049,        5.05465236114,     7994.52844202420 },
    {        0.00000000044,        5.42834161209,    86143.79857806159 },
    {        0.00000000058,        3.80515926170,    99024.13645791399 },
    {        0.00000000044,        4.02940505346,   147423.51185532758 },
    {        0.00000000058,        6.09754644524,    52169.17772424839 },
    {        0.00000000042,        4.38821594604,      224.34479570190 },
    {        0.00000000049,        0.46999643208,    51707.84129279399 },
    {        0.00000000042,        1.57834095767,    23976.25282819660 },
    {        0.00000000040,        4.41732729204,    52815.70356946240 },
    {        0.00000000046,        3.51899431806,   130969.20667296558 },
    {        0.00000000045,        4.35498866833,    39743.76363275060 },
    {        0.00000000049,        0.90018634051,      632.78373931320 },
    {        0.00000000044,        0.77931638287,    25138.72753260440 },
    {        0.00000000040,        4.04800595628,    52278.89905736699 },
    {        0.00000000038,        0.62728056271,    50696.93970908399 },
    {        0.00000000038,        2.90143761999,      956.28915597060 },
    {        0.00000000040,        1.64469334161,    39629.32434406539 },
    {        0.00000000043,        0.11284697031,     2648.45482547300 },
    {        0.00000000042,        2.74307947693,    24079.34560241519 },
    {        0.00000000051,        1.57638194838,    12725.45343477500 },
    {        0.00000000036,        5.75260999162,    25867.49049913539 },
    {        0.00000000037,        1.62696286674,   129483.91596626239 },
    {        0.00000000045,        0.05081561790,    51219.51712717779 },
    {        0.00000000035,        0.09890027261,    25241.82030682300 },
    {        0.00000000049,        0.07684803479,   150866.08680029298 },
    {        0.00000000034,        4.55905337378,      536.80451209540 },
    {        0.00000000036,        5.60022995084,    52808.59002246159 },
    {        0.00000000039,        5.99930414876,   104138.31347085879 },
    {        0.00000000046,        0.70705564046,   155997.72788435058 },
    {        0.00000000033,        4.54693851680,    78417.48823520739 },
    {        0.00000000032,        4.31344005149,    78109.93061423779 },
    {        0.00000000036,        5.69791953426,    26049.77010593640 },
    {        0.00000000041,        4.93127694524,    51639.00177105299 },
    {        0.00000000034,        3.32227109836,    35472.74414964940 },
    {        0.00000000042,        4.87062950014,    51951.46148744649 },
    {        0.00000000041,        2.38737728310,    68241.87214462319 },
    {        0.00000000035,        5.09552330140,   339142.74084046460 },
    {        0.00000000033,        3.74742271467,   154938.34595416137 },
    {        0.00000000031,        4.31849572821,    52072.71350892979 },
    {        0.00000000032,        3.22125075139,   178063.36849396059 },
    {        0.00000000035,        5.04239162008,   188276.65404017159 },
    {        0.00000000041,        3.22894786620,     1162.47470440780 },
    {        0.00000000032,        2.71248623758,    25780.34552060460 },
    {        0.00000000032,        3.81071008195,   157483.01859105378 },
    {        0.00000000030,        0.37624678251,    26421.75908234360 },
    {        0.00000000030,        2.31384665804,     1478.86657406440 },
    {        0.00000000031,        6.02113204508,    26198.10946279360 },
    {        0.00000000040,        1.02062201314,    27819.02549450680 },
    {        0.00000000029,        2.67809374172,      110.20632121940 },
    {        0.00000000029,        5.82834696468,   104344.49901929598 },
    {        0.00000000030,        2.25771223167,   104371.28232719658 },
    {        0.00000000028,        4.63556053618,    74923.09699802278 },
    {        0.00000000037,        3.03820461285,    11610.55195837420 },
    {        0.00000000030,        1.32768749762,     1375.77379984580 },
    {        0.00000000032,        0.26646287192,    52065.59996192899 },
    {        0.00000000037,        1.25738019637,   131498.89763806018 },
    {        0.00000000032,        1.04692878427,    26086.41866886590 },
    {        0.00000000036,        1.63924791422,    50800.03248330259 },
    {        0.00000000030,        0.15547655101,   104331.94280539699 },
    {        0.00000000026,        0.02869654675,    24815.22211594700 },
    {        0.00000000026,        1.03051070102,    24292.64469785319 },
    {        0.00000000027,        0.60357942596,   111590.28815789679 },
    {        0.00000000026,        5.74760347398,    54294.57014352679 },
    {        0.00000000031,        3.35995297387,   126996.94076290558 },
    {        0.00000000026,        2.79980619229,    86457.98475793119 },
    {        0.00000000025,        3.55507227780,   156100.82065856917 },
    {        0.00000000025,        2.34197986382,    24601.92302050899 },
    {        0.00000000026,        5.71059743781,    97670.38771289718 },
    {        0.00000000033,        0.24573646815,    26395.46076254379 },
    {        0.00000000025,        5.71438388019,   181505.94343892598 },
    {        0.00000000025,        2.19646515906,    52250.58788171570 },
    {        0.00000000025,        1.82858587521,       74.78159856730 },
    {        0.00000000023,        5.07063706452,   104564.91166173479 },
    {        0.00000000023,        6.24119188701,    75615.25459924959 },
    {        0.00000000024,        2.04753578861,    26521.61487945100 },
    {        0.00000000025,        3.35696591423,    28286.99048486120 },
    {        0.00000000026,        3.35225659095,   110634.68841628819 },
    {        0.00000000028,        0.56562335947,   125112.03959948818 },
    {        0.00000000027,        2.39055852898,      522.57741809380 },
    {        0.00000000028,        0.24656427036,      103.09277421860 },
    {        0.00000000025,        0.14885265829,    22759.76748529401 },
    {        0.00000000032,        1.70300856186,    26089.38761428249 },
    {        0.00000000025,        4.72485493580,    13362.44970679920 },
    {        0.00000000026,        2.07910302219,    29550.14784743939 },
    {        0.00000000025,        5.27245546317,    25936.85547173129 },
    {        0.00000000024,        0.09057155891,    51859.41441349179 },
    {        0.00000000022,        4.15509763801,    24176.70365835700 },
    {        0.00000000024,        0.80826744274,    77829.99768684579 },
    {        0.00000000030,        1.21279872188,    97112.93697469679 },
    {        0.00000000023,        2.30729456974,    77410.51304297059 },
    {        0.00000000022,        4.82022861734,    13541.42120249119 },
    {        0.00000000026,        6.26940339209,    25939.82441714789 },
    {        0.00000000023,        2.65745031641,    52492.19815280499 },
    {        0.00000000024,        4.93609558838,    52698.38370124219 },
    {        0.00000000022,        1.24209358625,   103285.11708910679 },
    {        0.00000000022,        0.79086333802,   104202.04936916218 },
    {        0.00000000022,        1.95647457585,    24356.78078864160 },
    {        0.00000000021,        2.52943432215,      467.96499035440 },
    {        0.00000000022,        3.68660576300,    26729.31670331319 },
    {        0.00000000021,        5.49527500986,   112231.70171963578 },
    {        0.00000000023,        1.84999492041,    76571.54375522019 },
    {        0.00000000023,        1.18923260859,   141762.17980617538 },
    {        0.00000000025,        2.55846756753,    24822.33566294780 },
    {        0.00000000027,        3.60550105765,    23962.02573419499 },
    {        0.00000000023,        2.60707335355,    25754.04720080480 },
    {        0.00000000026,        0.76123293665,    55516.41870984820 },
    {        0.00000000026,        2.09701412913,   134991.46920492980 },
    {        0.00000000020,        3.35114638284,    52595.29092702359 },
    {        0.00000000021,        0.36856325095,    97580.90196505119 },
    {        0.00000000021,        5.70555721397,    60055.89543648739 },
    {        0.00000000024,        0.51930649617,   116917.76426627958 },
    {        0.00000000019,        2.85664849845,    60370.08161635699 },
    {        0.00000000019,        0.57202736293,    52125.80966124419 },
    {        0.00000000024,        3.51346257561,    77844.22478084739 },
    {        0.00000000019,        0.54258647630,    26941.09952332620 },
    {        0.00000000019,        6.25208431325,    25973.50403466079 },
    {        0.00000000022,        5.14053236920,   104347.73123093879 },
    {        0.00000000021,        4.13818325733,   103299.34418310839 },
    {        0.00000000019,        0.33672573506,   102018.41617342478 },
    {        0.00000000018,        1.90089087831,    52325.36948028299 },
    {        0.00000000019,        4.27464346361,   122444.98726584678 },
    {        0.00000000019,        5.68003083783,    54509.00267602040 },
    {        0.00000000018,        1.43369019964,    53242.30176033840 },
    {        0.00000000018,        2.45228682430,   104358.72611329758 },
    {        0.00000000018,        1.06798371960,    27780.06881107659 },
    {        0.00000000023,        1.86418858933,   116783.65521669458 },
    {        0.00000000021,        2.99699115190,    26073.67604757259 },
    {        0.00000000018,        4.86636715695,   170049.17029103660 },
    {        0.00000000019,        4.89530983995,    53228.07466633679 },
    {        0.00000000021,        2.47209635724,    27726.97265876220 },
    {        0.00000000020,        4.99224602107,   104778.21075717278 },
    {        0.00000000021,        1.47188069923,   140652.80125408198 },
    {        0.00000000022,        0.87466972564,   119116.85160956658 },
    {        0.00000000017,        4.05072250317,    76667.52298243798 },
    {        0.00000000018,        1.69254770146,    76681.75007643958 },
    {        0.00000000019,        4.81653733420,    51528.79544983359 },
    {        0.00000000023,        2.09581007213,    52225.80290505260 },
    {        0.00000000019,        0.74728940617,    36109.74042167360 },
    {        0.00000000016,        2.93241655330,   102132.85546210999 },
    {        0.00000000018,        5.00476392390,   105940.68546158058 },
    {        0.00000000021,        3.53806328767,   106570.36967048359 },
    {        0.00000000018,        4.66155601593,    61279.71327726600 },
    {        0.00000000022,        3.56812851373,   104355.49390165479 },
    {        0.00000000019,        4.43774117349,      647.01083331480 },
    {        0.00000000017,        2.10545220233,    64901.25971792339 },
    {        0.00000000017,        2.83176092494,   132658.27281205778 },
    {        0.00000000017,        5.67040223146,    25788.77674730500 },
    {        0.00000000018,        2.89493956098,    26091.83529483729 },
    {        0.00000000017,        5.38147763977,    78731.67441507700 },
    {        0.00000000015,        5.25853489897,   150244.34299945380 },
    {        0.00000000019,        4.36796558291,    24182.43837663380 },
    {        0.00000000019,        1.70937445812,      153.77881048480 },
    {        0.00000000015,        1.13029685380,    25042.74830538660 },
    {        0.00000000015,        2.16455066064,    26222.01219115920 },
    {        0.00000000017,        3.97920822146,   207643.84320240439 },
    {        0.00000000015,        5.16204794210,    27684.08958385880 },
    {        0.00000000016,        5.73885440717,    25352.02662804239 },
    {        0.00000000015,        2.31658070939,    51852.30086649099 },
    {        0.00000000014,        3.42267011966,    26823.77965510599 },
    {        0.00000000014,        2.50300888215,    32132.13172294960 },
    {        0.00000000014,        0.64831361219,      323.50541665740 },
    {        0.00000000014,        6.07546939857,    78270.33798362259 },
    {        0.00000000017,        6.02302146414,    26667.59072857300 },
    {        0.00000000014,        1.36600630226,    23919.14265929160 },
    {        0.00000000019,        4.41224311863,    49953.94964855139 },
    {        0.00000000013,        1.32912005824,   129799.61842155698 },
    {        0.00000000013,        5.28407417719,      742.99006053260 },
    {        0.00000000013,        5.59372980773,   209812.60368468694 },
    {        0.00000000014,        1.17381822060,   104275.34649502118 },
    {        0.00000000014,        5.53140406603,    77630.92568540938 },
    {        0.00000000014,        0.44776281245,    17893.62780836560 },
    {        0.00000000018,        1.65347821757,    28256.66362385679 },
    {        0.00000000014,        4.81716097174,     2221.85663459700 },
    {        0.00000000015,        3.17385925198,   176953.98994186718 },
    {        0.00000000013,        0.78761204117,   173511.41499690176 },
    {        0.00000000014,        2.91486993959,    78257.08086582259 },
    {        0.00000000017,        1.98703193197,    27037.07875054399 },
    {        0.00000000013,        2.32883100115,    27005.83342755599 },
    {        0.00000000014,        3.95960354665,    51432.81622261579 },
    {        0.00000000015,        1.32037560412,    27669.86248985719 },
    {        0.00000000013,        1.39086614790,    25024.58905812189 },
    {        0.00000000013,        3.85817843282,   182085.63102592478 },
    {        0.00000000015,        1.99264271696,    52381.99183158559 },
    {        0.00000000012,        3.33811921058,    25508.21555457540 },
    {        0.00000000016,        5.59174105029,    25446.48957983520 },
    {        0.00000000012,        3.96861439229,    78188.92782615528 },
    {        0.00000000012,        5.32870101114,    80174.90890793978 },
    {        0.00000000016,        2.19148092925,    26308.31578401300 },
    {        0.00000000012,        5.45614378004,   107794.18751126219 },
    {        0.00000000014,        0.70193545832,   172402.03644480839 },
    {        0.00000000012,        1.54035928437,    52252.07235442399 },
    {        0.00000000014,        3.47280146015,    27177.61193276780 },
    {        0.00000000014,        2.70931032077,    27311.72098235281 },
    {        0.00000000013,        0.52324869857,    75930.51303185058 },
    {        0.00000000012,        5.76352424828,    50167.24874398939 },
    {        0.00000000011,        2.65933951973,   137210.22630911658 },
    {        0.00000000011,        0.61260463058,    44295.71712980940 },
    {        0.00000000011,        4.75744397675,   155571.81910783658 },
    {        0.00000000011,        0.92596625175,    22625.65843570900 },
    {        0.00000000014,        5.94031170257,    52290.24557183361 },
    {        0.00000000013,        2.88183763459,   112545.88789950538 },
    {        0.00000000012,        6.20307751102,    51653.22886505459 },
    {        0.00000000014,        0.79666118269,    25953.79409198919 },
    {        0.00000000011,        2.82291310257,    77101.23472031478 },
    {        0.00000000011,        1.26691831337,    26312.24793727610 },
    {        0.00000000011,        6.04692861527,    27044.19229754480 },
    {        0.00000000011,        3.59050910670,    52712.61079524379 },
    {        0.00000000012,        3.29867482436,    52061.36699446317 },
    {        0.00000000011,        4.14868784122,    45290.65639321759 },
    {        0.00000000012,        2.20117670946,    31415.37924995700 },
    {        0.00000000011,        3.28550164867,    28736.35796704720 },
    {        0.00000000011,        2.94144581880,    58857.03113654799 },
    {        0.00000000014,        2.76963894785,    23888.81579828719 },
    {        0.00000000010,        0.46195987169,    24448.83362438620 },
    {        0.00000000010,        2.86866087585,   130226.21661243298 },
    {        0.00000000010,        5.45102637711,   163298.12945069079 },
    {        0.00000000013,        4.41913559624,    19958.60610206760 },
    {        0.00000000012,        5.95935970873,    26083.97098831109 },
    {        0.00000000013,        3.57379666664,    77795.74443436819 },
    {        0.00000000010,        3.83420431277,    51226.63067417859 },
    {        0.00000000012,        1.57272284029,    91805.13062721379 },
    {        0.00000000010,        1.11456831986,    78903.60671103658 },
    {        0.00000000011,        1.35230305494,    51969.62073471119 },
    {        0.00000000010,        4.67337740333,     2111.65031337760 },
    {        0.00000000011,        5.80271751795,    27972.80430499159 },
    {        0.00000000011,        5.80527692287,    26102.13023557580 },
    {        0.00000000013,        0.32349874907,   157057.10981453978 },
    {        0.00000000010,        1.14247096580,     9384.84100807520 },
    {        0.00000000013,        4.60340992512,    25032.45336464809 },
    {        0.00000000011,        2.47098170967,    26010.15259759030 },
    {        0.00000000010,        4.34994273616,   157586.80077963436 },
    {        0.00000000010,        1.10800044909,    65831.66677432480 },
    {        0.00000000012,        5.55659972511,    22909.75735100660 },
    {        0.00000000011,        4.67416745722,    50064.15596977079 },
    {        0.00000000009,        2.37765084995,    78896.49316403578 },
    {        0.00000000009,        0.47421378853,   128106.31931499895 },
    {        0.00000000011,        6.23832638741,    30171.89164827860 },
    {        0.00000000009,        1.42183589402,   104505.39137678158 },
    {        0.00000000009,        4.85867084365,    24918.31489016559 },
    {        0.00000000010,        2.78334321933,    81591.84508100279 },
    {        0.00000000010,        0.87205573987,    78366.80219894118 },
    {        0.00000000009,        5.40574630906,   130459.18546877075 },
    {        0.00000000010,        1.65859404347,    78039.36462902068 },
    {        0.00000000009,        3.03509575630,    51329.72344839720 },
    {        0.00000000009,        1.96004127485,    26575.53789282839 },
    {        0.00000000010,        1.17585399339,    50270.34151820800 },
    {        0.00000000009,        5.53838845699,     8194.27533320860 },
    {        0.00000000009,        3.66100752188,   151199.94274106238 },
    {        0.00000000009,        1.60088408502,   117893.03376878797 },
    {        0.00000000010,        3.21502369366,    77307.42026875199 },
    {        0.00000000009,        0.42023516699,    27223.58001346740 },
    {        0.00000000008,        1.34535060467,    12546.48193908300 },
    {        0.00000000009,        5.46394041390,    16703.06213349900 },
    {        0.00000000009,        1.60635058887,    77616.69859140778 },
    {        0.00000000010,        1.76453908885,    77726.90491262719 },
    {        0.00000000009,        5.48514099908,   138319.60486120995 },
    {        0.00000000009,        5.66705612562,    50910.23880452200 },
    {        0.00000000009,        0.69447244274,    26709.64694241340 },
    {        0.00000000009,        6.23127403544,      846.08283475120 },
    {        0.00000000010,        5.49114293123,    94329.77528619739 },
    {        0.00000000011,        0.75948957862,   128320.75184749259 },
    {        0.00000000009,        0.50088873003,    27573.19384827740 },
    {        0.00000000008,        1.18612452170,   104197.83375581198 },
    {        0.00000000011,        6.20672194821,    28102.88481337200 },
    {        0.00000000008,        0.96153145702,    19202.75325164339 },
    {        0.00000000009,        1.73726961641,    28791.51929624980 },
    {        0.00000000008,        4.51184849789,    27463.67694142000 },
    {        0.00000000008,        3.59638355762,    76784.84285065818 },
    {        0.00000000009,        1.55645109651,    26126.03617721200 },
    {        0.00000000008,        1.09983228187,    78160.61665050399 },
    {        0.00000000008,        6.23118263675,      148.07872442630 },
    {        0.00000000008,        0.87630174262,      151.04766984290 },
    {        0.00000000008,        3.17310230516,    50903.12525752120 },
    {        0.00000000011,        1.85720558473,   214364.55718174577 },
    {        0.00000000008,        2.49935513570,    51955.39364070959 },
    {        0.00000000008,        2.66478360481,   130432.40216087017 },
    {        0.00000000008,        3.12318873266,    22003.91463486980 },
    {        0.00000000008,        4.20069783382,    50380.54783942739 },
    {        0.00000000008,        5.82869890340,     3328.13565628019 },
    {        0.00000000010,        2.61302801987,    27170.98337386779 },
    {        0.00000000008,        3.45199097443,    24203.00197815680 },
    {        0.00000000008,        0.37984013982,   183570.92173262799 },
    {        0.00000000008,        3.44870214429,    26402.08932144380 },
    {        0.00000000008,        6.15047498198,    37698.45509994840 },
    {        0.00000000007,        0.09645033702,      206.18554843720 },
    {        0.00000000007,        5.88329863855,    51868.24866217880 },
    {        0.00000000007,        4.80640635339,    26118.23000257860 },
    {        0.00000000010,        2.52561621829,    35833.22369743080 },
    {        0.00000000007,        3.79900304025,   103917.90082841998 },
    {        0.00000000008,        1.59041748036,   101011.00013959699 },
    {        0.00000000009,        2.57099726908,     2125.87740737920 },
    {        0.00000000007,        5.32440574441,    35077.37084700659 },
    {        0.00000000007,        2.46084982091,    52137.67324751059 },
    {        0.00000000008,        4.37434019274,   123200.84011627098 },
    {        0.00000000009,        5.13687735660,    55638.05098901359 },
    {        0.00000000007,        5.98045973961,    52179.73843641149 },
    {        0.00000000009,        2.52935998753,    25227.59321282139 },
    {        0.00000000009,        0.68598593831,       38.13303563780 },
    {        0.00000000009,        3.57329597023,     1265.56747862640 },
    {        0.00000000009,        1.65566330689,    65717.22748563958 },
    {        0.00000000007,        3.88988296844,     1485.98012106520 },
    {        0.00000000007,        4.29110565750,   155887.52156313116 },
    {        0.00000000008,        0.47377071059,   181026.24909573558 },
    {        0.00000000008,        5.57007244381,    50689.82616208319 },
    {        0.00000000010,        0.82585923948,    39763.43339365039 },
    {        0.00000000007,        4.34057816709,   129373.02023068098 },
    {        0.00000000007,        0.41164824366,   182188.72380014337 },
    {        0.00000000008,        0.23518929674,    50049.92887576919 },
    {        0.00000000007,        3.14813276838,    52061.40717623499 },
    {        0.00000000008,        1.24064472176,    76041.85279012559 },
    {        0.00000000009,        3.52369322812,     2008.55753915900 },
    {        0.00000000007,        4.86954611488,    27351.06050415239 },
    {        0.00000000009,        1.96717423051,   365230.64398203877 },
    {        0.00000000007,        5.46143723851,    25985.94062330859 },
    {        0.00000000008,        6.26980974962,   204151.27163553477 },
    {        0.00000000007,        3.42584394985,    52483.36390411799 },
    {        0.00000000007,        2.52325477952,   207593.84658050019 },
    {        0.00000000009,        0.69792128051,   233731.74634397859 },
    {        0.00000000007,        0.13818691784,    52911.68279668019 },
    {        0.00000000007,        3.98674061320,    13675.53025207620 },
    {        0.00000000007,        4.44340268776,    26057.57628056979 },
    {        0.00000000007,        2.53713814740,    80382.47328510099 },
    {        0.00000000007,        0.03218225075,    31281.27020037200 },
    {        0.00000000007,        4.33489563070,   167850.08294774959 },
    {        0.00000000008,        4.62571179271,    76887.93562487679 },
    {        0.00000000008,        4.03988460752,    53906.92863608099 },
    {        0.00000000006,        1.59873561232,   143980.93691036216 },
    {        0.00000000007,        3.52756376168,    52509.66222391780 },
    {        0.00000000007,        5.24448652662,     1795.25844372100 },
    {        0.00000000007,        5.21000690023,   161079.37234650398 },
    {        0.00000000007,        1.70582791676,    54087.00576636560 },
    {        0.00000000007,        4.28578455719,    51130.65144696079 },
    {        0.00000000007,        3.42650023556,    29396.36903695460 },
    {        0.00000000006,        3.18788579110,    24072.92146977640 },
    {        0.00000000008,        0.70492853290,    25169.97285559240 },
    {        0.00000000007,        5.70539968132,     9745.32055585660 },
    {        0.00000000008,        0.13922543752,   136722.59155786238 },
    {        0.00000000007,        5.42861124484,    27566.76971563859 },
    {        0.00000000007,        3.95476784450,   145204.75475114078 },
    {        0.00000000007,        3.78837180264,    26189.86565983980 },
    {        0.00000000008,        3.40119385646,    78153.50310350319 },
    {        0.00000000006,        1.19861324023,    26734.91397488900 },
    {        0.00000000007,        0.57045467282,   118828.96374949679 },
    {        0.00000000008,        3.30573659151,   130419.84594697120 },
    {        0.00000000006,        5.17878386927,    78338.49102328988 },
    {        0.00000000007,        1.86755524082,     1905.46476494040 },
    {        0.00000000008,        3.80625042789,   137678.19129947099 },
    {        0.00000000007,        1.20815914313,    61560.64729122359 },
    {        0.00000000008,        5.80110689687,    25773.71696170459 },
    {        0.00000000008,        4.81332582969,   142871.55835826878 },
    {        0.00000000008,        1.46122702584,    87367.61641884019 },
    {        0.00000000008,        0.88124699513,      220.41264243880 },
    {        0.00000000007,        1.64179152420,   196137.07343261078 },
    {        0.00000000006,        0.90242839977,   129387.24732468258 },
    {        0.00000000007,        5.69215909880,   158746.17595363196 },
    {        0.00000000006,        4.05724988846,    52174.32181044009 },
    {        0.00000000006,        1.71090238858,    26830.89320210680 },
    {        0.00000000006,        6.10253738949,   203041.89308344139 },
    {        0.00000000006,        0.30738123560,    54374.89362643540 },
    {        0.00000000006,        0.41222313301,     2199.08734328700 },
    {        0.00000000006,        1.43510177069,     2333.19639287200 },
    {        0.00000000006,        3.93656809970,   130289.95251073639 },
    {        0.00000000007,        0.36974820473,   103932.12792242158 },
    {        0.00000000006,        2.72826803217,    76255.15188556358 },
    {        0.00000000007,        1.27402494790,    46046.50924364180 },
    {        0.00000000006,        0.44952989323,   208173.53416749899 },
    {        0.00000000008,        4.68388468911,    25014.29411738339 },
    {        0.00000000007,        3.81640774507,    52041.69723356339 },
    {        0.00000000008,        5.42651288061,      949.17560896980 },
    {        0.00000000006,        0.52080930820,    25004.82290928060 },
    {        0.00000000008,        3.01472942819,    26076.85744131030 },
    {        0.00000000007,        5.36517964373,    77940.20400806518 },
    {        0.00000000006,        3.49010452393,   123668.80510662538 },
    {        0.00000000006,        4.57296057068,    35211.47989659159 },
    {        0.00000000006,        5.37176342300,    53093.73656913019 },
    {        0.00000000006,        1.99673742216,   130435.63437251298 },
    {        0.00000000006,        3.10336530669,    77947.31755506598 },
    {        0.00000000008,        5.49357414100,    53814.87580033639 },
    {        0.00000000008,        2.24316734824,    25466.15934073500 },
    {        0.00000000006,        6.09625894529,   103395.32341032618 },
    {        0.00000000008,        5.31272348192,    24388.62392507099 },
    {        0.00000000005,        0.44435745265,   179172.74704605396 },
    {        0.00000000005,        5.64850202903,    28774.62523611540 },
    {        0.00000000005,        5.86981284050,   156314.11975400720 },
    {        0.00000000007,        4.21874962552,    26098.94884183810 },
    {        0.00000000006,        2.19700567791,    12412.37288949800 },
    {        0.00000000006,        1.28784041110,   102975.83876645098 },
    {        0.00000000005,        4.94698005592,    50444.68393021580 },
    {        0.00000000006,        1.82802843508,    24402.85101907260 },
    {        0.00000000005,        5.64154870955,    55503.94193942859 },
    {        0.00000000006,        0.02944876240,    20043.67456019880 },
    {        0.00000000006,        1.01830751527,   183674.70392120857 },
    {        0.00000000006,        2.19844933048,   103718.82882698359 },
    {        0.00000000006,        2.48218378908,    51439.92976961659 },
    {        0.00000000007,        3.65669338110,   143005.66740785379 },
    {        0.00000000006,        5.02499172571,    78469.89497315978 },
    {        0.00000000006,        3.28107700351,   144916.86689107097 },
    {        0.00000000005,        1.52974136650,    26724.89941359840 },
    {        0.00000000005,        5.43264125558,   130446.62925487179 },
    {        0.00000000006,        6.20586010225,      114.39910691340 },
    {        0.00000000005,        1.97758412332,   130652.81480330898 },
    {        0.00000000007,        0.75444891777,    77520.71936418998 },
    {        0.00000000005,        3.42800816448,    50536.73676596039 },
    {        0.00000000005,        1.69966337069,    78786.28684281638 },
    {        0.00000000005,        5.46516609389,   103498.41618454478 },
    {        0.00000000006,        4.70912746923,    52177.29075585669 },
    {        0.00000000005,        5.03210861040,     1045.15483618760 },
    {        0.00000000005,        4.19089790418,   130363.24963659538 },
    {        0.00000000005,        6.27157957330,     1272.68102562720 },
    {        0.00000000005,        1.36461885531,   181659.72224941078 },
    {        0.00000000006,        2.86818435011,    52755.49387014719 },
    {        0.00000000005,        5.57712092238,   106262.81204951399 },
    {        0.00000000007,        3.82369524609,    62197.64356324779 },
    {        0.00000000005,        4.48988723219,    50007.04580086580 },
    {        0.00000000005,        5.67785301537,    78580.10129437919 },
    {        0.00000000006,        3.63826732126,   198489.93958638259 },
    {        0.00000000007,        3.08378061801,    52027.72755872209 },
    {        0.00000000005,        0.06002744854,    51596.11869614960 },
    {        0.00000000006,        2.81224506925,    25450.90686955000 },
    {        0.00000000005,        5.06206878451,    52609.51802102519 },
    {        0.00000000005,        4.13691080116,    53867.97195265079 },
    {        0.00000000005,        0.66848559375,   104276.83096772949 },
    {        0.00000000005,        4.95249581376,    78413.27262185719 },
    {        0.00000000005,        3.55435464017,    43981.53094993980 },
    {        0.00000000005,        0.50816610094,      299.12639426920 },
    {        0.00000000006,        2.94825784581,    56259.79478985279 },
    {        0.00000000005,        5.74190826395,   103189.13786188899 },
    {        0.00000000005,        0.31741758800,    78800.51393681798 },
    {        0.00000000006,        3.74336258475,    26247.20487636640 },
    {        0.00000000006,        2.73646698829,    52286.01260436779 },
    {        0.00000000005,        1.77497247774,   129586.31932611899 },
    {        0.00000000006,        2.57896380153,    26014.60601571519 },
    {        0.00000000005,        2.23635663946,    24513.05734029200 },
    {        0.00000000006,        0.42705996592,   130443.39704322898 },
    {        0.00000000006,        5.13378058477,    78313.70604662679 },
    {        0.00000000005,        2.46839838469,   123758.29085447139 },
    {        0.00000000006,        1.18640004452,    25600.26839032000 },
    {        0.00000000006,        5.08742416907,    53124.98189211819 },
    {        0.00000000007,        2.15977683208,    52024.75861330549 },
    {        0.00000000006,        4.52235258445,   166740.70439565618 },
    {        0.00000000005,        4.87195511152,   102659.44689679438 },
    {        0.00000000006,        0.31441101535,   102872.74599223239 },
    {        0.00000000005,        1.42393263915,    28199.55345495179 },
    {        0.00000000005,        1.39267646690,    39450.35284837340 },
    {        0.00000000006,        1.37133092960,    51120.35650622229 },
    {        0.00000000006,        6.22297289912,    78149.27013603736 },
    {        0.00000000005,        0.57729967408,    26933.98597632540 },
    {        0.00000000006,        1.80407643479,    23549.65463732060 },
    {        0.00000000005,        3.60259399818,       11.04570026390 },
    {        0.00000000005,        3.93868954411,    48713.56157728320 },
    {        0.00000000006,        1.44234050040,    76152.05911134499 },
    {        0.00000000006,        3.19917719734,   183145.01295611399 },
    {        0.00000000005,        4.55197145990,    79330.20490191258 },
    {        0.00000000005,        0.84232799985,    24551.92639860479 },
    {        0.00000000005,        4.45098264390,   102769.65321801379 },
    {        0.00000000005,        2.92291007768,    54190.78795494619 },
    {        0.00000000005,        0.46604463103,    52817.21984488739 },
    {        0.00000000006,        1.11258968779,    25647.07785669659 },
    {        0.00000000005,        3.96038779086,    25657.37279743509 },
    {        0.00000000005,        3.75575867114,    52797.55008398759 },
    {        0.00000000005,        3.61079719482,    26411.40855823160 },
    {        0.00000000005,        1.66822570670,    47803.92991637420 },
    {        0.00000000006,        2.32203480843,    27665.24668402200 },
    {        0.00000000004,        1.86177066589,    53771.99272543299 },
    {        0.00000000005,        4.85075574464,    54344.56676543099 },
    {        0.00000000005,        6.19447408823,    26191.68533015479 },
    {        0.00000000005,        3.73206511731,    78213.71280281838 },
    {        0.00000000004,        2.13995639327,   189386.03259226496 },
    {        0.00000000006,        2.60366708487,    78378.14871340781 },
    {        0.00000000004,        1.39917225370,    26290.15653674829 },
    {        0.00000000005,        1.09229620764,    26183.88236879199 },
    {        0.00000000006,        0.88029618554,    23336.35554188260 },
    {        0.00000000005,        6.13113074115,    26026.17716683400 },
    {        0.00000000004,        4.94928690334,    52663.44103440259 },
    {        0.00000000004,        0.62360130446,   102755.42612401219 },
    {        0.00000000005,        6.04519983514,    52161.57918914679 },
    {        0.00000000004,        1.71609047005,    23762.95373275860 },
    {        0.00000000004,        0.21148637237,    19336.86230122839 },
    {        0.00000000005,        3.31951258622,    45424.76544280259 },
    {        0.00000000004,        0.09463875144,    78683.19406859778 },
    {        0.00000000005,        6.01855111376,   128220.75860368418 },
    {        0.00000000005,        1.78257995471,   187167.27548807819 },
    {        0.00000000005,        4.99565783477,    41494.55574658299 },
    {        0.00000000005,        4.64166221826,    24824.74577899600 },
    {        0.00000000004,        1.61945390198,    28309.75977617119 },
    {        0.00000000006,        2.62148938551,    52171.87412988529 },
    {        0.00000000004,        0.52972446133,    77314.53381575279 },
    {        0.00000000006,        2.56621666333,    51876.67988887919 },
    {        0.00000000006,        2.53671356332,    52190.03337714999 },
    {        0.00000000005,        5.84026664575,   104344.98400739678 },
    {        0.00000000004,        3.77333237335,   153084.84390447979 },
    {        0.00000000004,        3.42433134364,    53311.48315504160 },
    {        0.00000000004,        1.92553176807,   156547.08861034497 },
    {        0.00000000004,        4.29836210336,   130593.29451835579 },
    {        0.00000000005,        0.30567664615,   103883.64757594238 },
    {        0.00000000004,        4.24846221979,   189853.99758261937 },
    {        0.00000000004,        6.09490221813,    77417.62658997139 },
    {        0.00000000005,        3.46214176278,    48847.67062686820 },
    {        0.00000000006,        3.71691630302,    81604.32185142238 },
    {        0.00000000004,        3.62019381955,    70383.62027138360 },
    {        0.00000000004,        3.62744843597,    53029.00266490040 },
    {        0.00000000004,        1.40344660688,    25885.64974640009 },
    {        0.00000000006,        2.54555794681,    54060.70744656579 },
    {        0.00000000004,        4.06110284313,    91919.56991589899 },
    {        0.00000000005,        3.92504614590,   101703.15774082378 },
    {        0.00000000004,        5.48109256361,    78225.57638908479 },
    {        0.00000000004,        5.92354219151,    84944.93427812219 },
    {        0.00000000005,        1.45746030546,    51102.19725895759 },
    {        0.00000000004,        0.18748530762,    52489.99246301800 },
    {        0.00000000005,        0.64220436035,     3178.14579056760 },
    {        0.00000000005,        1.74091893413,    79315.97780791098 },
    {        0.00000000005,        4.33120733566,    51112.49219969609 },
    {        0.00000000005,        0.28595106407,    26161.20026743319 },
    {        0.00000000005,        0.30883343706,    53265.51507434200 },
    {        0.00000000004,        4.51338981538,    78339.97549599818 },
    {        0.00000000005,        1.96614115805,   130866.11389874699 },
    {        0.00000000004,        0.09019783661,    58220.03486452380 },
    {        0.00000000004,        5.51106442769,    78043.29678228378 },
    {        0.00000000004,        0.59216167629,    16342.58258571760 },
    {        0.00000000005,        0.32341090439,    28096.46068073319 },
    {        0.00000000004,        5.15437140585,    24285.53115085240 },
    {        0.00000000005,        2.15151582679,    48997.66049258080 },
    {        0.00000000005,        4.75657933833,   240452.46032331997 },
    {        0.00000000004,        5.35396036827,   104984.39630560997 },
    {        0.00000000004,        3.83354739662,       14.22709400160 },
    {        0.00000000004,        1.52206374281,    26267.98027185880 },
    {        0.00000000004,        2.36732975711,       19.66976089979 },
    {        0.00000000004,        5.10954286080,    31722.93687092660 },
    {        0.00000000004,        1.54518951672,    52206.13314415280 },
    {        0.00000000004,        4.66669337352,   104127.26777059489 },
    {        0.00000000005,        5.74829513019,    51841.95034237900 },
    {        0.00000000004,        3.30106035790,      316.39186965660 },
    {        0.00000000004,        2.93299901703,    31775.53351052620 },
    {        0.00000000004,        4.06219603307,   130285.73689738619 },
    {        0.00000000004,        1.74441095464,    26248.31051095900 },
    {        0.00000000004,        4.12254586219,    27441.65188659100 },
    {        0.00000000004,        4.15776973428,    26279.35140768579 },
    {        0.00000000004,        1.15784310255,    50264.60679993120 },
    {        0.00000000004,        5.23429009814,    52396.21892558720 },
    {        0.00000000004,        5.30327887066,    25672.35065096209 },
    {        0.00000000005,        1.10382058499,    31903.01400121119 },
    {        0.00000000005,        2.71036686336,    24952.22626968100 },
    {        0.00000000004,        2.64042462073,    24602.61243487099 },
    {        0.00000000004,        1.87407286172,    15406.65260500879 },
    {        0.00000000004,        5.78862899204,    22779.43724619380 },
    {        0.00000000004,        4.22021430563,     1731.12235293260 },
    {        0.00000000004,        3.29759878123,    76137.83201734339 },
    {        0.00000000005,        4.41662635417,    78057.52387628538 },
    {        0.00000000004,        1.57423026339,   128747.35003836859 },
    {        0.00000000005,        5.17627834613,    19367.18916223280 },
    {        0.00000000004,        4.68271936370,   103814.80805420138 },
    {        0.00000000004,        2.99546350548,    77741.13200662879 },
    {        0.00000000004,        3.47912671031,    53661.09698985160 },
    {        0.00000000004,        1.47969113461,   120417.67842777158 },
    {        0.00000000004,        5.51314482955,   132350.71519108818 },
    {        0.00000000004,        2.11602271207,   235900.50682626115 },
    {        0.00000000004,        3.41919050321,    26114.20146137400 },
    {        0.00000000004,        2.87953962922,    25862.07387316400 },
    {        0.00000000005,        5.71960795619,     1911.19948321720 },
    {        0.00000000004,        2.82954379060,   133767.65136415116 },
    {        0.00000000004,        3.12567603415,    20894.53608277640 },
    {        0.00000000004,        2.20022040184,    52073.84376488279 },
    {        0.00000000003,        1.65447289500,    51006.21803173979 },
    {        0.00000000004,        0.72729563393,    25865.04281858059 },
    {        0.00000000004,        4.75773817489,   156740.71794488319 },
    {        0.00000000004,        5.61140287619,    53258.88651544199 },
    {        0.00000000004,        1.55115346866,    53438.96364572659 },
    {        0.00000000005,        0.91157457367,    25665.23710396129 },
    {        0.00000000005,        6.11074430084,   156507.74908854539 },
    {        0.00000000003,        3.13187739577,    80462.79676800959 },
    {        0.00000000004,        0.99586228194,   149288.74325784517 },
    {        0.00000000004,        3.81858133541,    26513.81191808820 },
    {        0.00000000003,        3.76308396741,       77.75054398390 },
    {        0.00000000004,        2.20983069576,    76777.72930365738 },
    {        0.00000000004,        1.96565283101,   132028.58860315479 },
    {        0.00000000004,        0.75635766859,    23384.28698689860 },
    {        0.00000000003,        2.47442898563,    77956.15180375299 },
    {        0.00000000004,        3.82892344861,   104454.70534051539 },
    {        0.00000000004,        4.06084495744,    33856.26969826880 },
    {        0.00000000004,        1.56161739887,     1055.44977692610 },
    {        0.00000000005,        3.11675458540,    26149.62911631439 },
    {        0.00000000004,        3.75207273650,    49424.25868345679 },
    {        0.00000000004,        4.12046971863,   104991.50985261079 },
    {        0.00000000003,        4.55090472605,    57503.28239153120 },
    {        0.00000000004,        0.52382972546,   154194.22245657316 },
    {        0.00000000003,        4.57699005153,    21716.02677480000 },
    {        0.00000000003,        4.03880524047,   104248.51979207818 },
    {        0.00000000004,        0.75633347724,    79994.83177765519 },
    {        0.00000000003,        0.94848153160,   143164.96914264598 },
    {        0.00000000005,        4.29018004927,    53757.76563143139 },
    {        0.00000000004,        2.29764966629,    51534.39272140940 },
    {        0.00000000004,        3.74755373208,    25970.58327335399 },
    {        0.00000000004,        1.22491945176,    25927.49577218939 },
    {        0.00000000003,        0.19025922851,    50290.90511973100 },
    {        0.00000000003,        0.82865789636,    30689.85326053720 },
    {        0.00000000004,        2.93938009670,    30110.16567353840 },
    {        0.00000000003,        2.37855052298,    25459.05155552409 },
    {        0.00000000003,        5.61456633749,   156520.30530244438 },
    {        0.00000000003,        0.54027108346,   130005.80396999417 },
    {        0.00000000004,        6.15218047879,    76991.02839909539 },
    {        0.00000000004,        3.50355655289,    33480.35754365900 },
    {        0.00000000003,        0.01124368540,    78571.26704569219 },
    {        0.00000000004,        1.42998120813,    23446.56186310200 },
    {        0.00000000004,        4.30859600855,     2538.24850425360 },
    {        0.00000000003,        4.07249909537,    32808.61712091560 },
    {        0.00000000004,        4.57967744100,    52213.93931878620 },
    {        0.00000000004,        2.71237687854,   107679.74822257696 },
    {        0.00000000004,        2.10867686930,    27331.39074325260 },
    {        0.00000000004,        2.63978309242,    80596.90581759460 },
    {        0.00000000004,        1.44726666359,    25907.82601128960 },
    {        0.00000000003,        2.77225709802,    25984.12095299360 },
    {        0.00000000003,        0.77055249403,    23389.45169419700 },
    {        0.00000000004,        2.22943193042,   104819.57755665119 },
    {        0.00000000004,        5.53757642567,    52098.05573916449 },
    {        0.00000000003,        4.85887200017,     1063.31408345230 },
    {        0.00000000004,        5.50902935440,    51315.49635439559 },
    {        0.00000000003,        6.10316637842,    48091.81777644400 },
    {        0.00000000004,        4.67601599622,    18073.70493865020 },
    {        0.00000000003,        4.58899296863,    25896.45487546260 },
    {        0.00000000003,        5.35415033267,   233681.74972207437 },
    {        0.00000000003,        2.07638324500,        3.93215326310 },
    {        0.00000000003,        2.40851756173,    76998.14194609619 },
    {        0.00000000003,        3.54974279869,    23401.18104703300 },
    {        0.00000000003,        6.24455798435,    54824.26110862140 },
    {        0.00000000003,        5.95091721147,     6751.04084034580 },
    {        0.00000000003,        4.46119653187,   127098.90328117118 },
    {        0.00000000004,        1.45335178532,     1073.60902419080 },
    {        0.00000000004,        3.64332193223,      860.30992875280 },
    {        0.00000000003,        5.19214304483,    52309.91533273340 },
    {        0.00000000003,        3.87383641149,    56777.75640211140 },
    {        0.00000000004,        1.93735592711,    26603.36701266720 },
    {        0.00000000003,        2.94612910423,    27039.97976483379 },
    {        0.00000000004,        2.04162116492,    27623.87988454360 },
    {        0.00000000003,        1.90299644295,   126067.63934109679 },
    {        0.00000000003,        5.46693649158,   149846.19399604559 },
    {        0.00000000004,        3.72194883593,    51257.87599716660 },
    {        0.00000000004,        5.84175823655,    25650.25925043430 },
    {        0.00000000003,        2.84825042585,   159855.55450572536 },
    {        0.00000000003,        5.38166577823,    26061.60482177439 },
    {        0.00000000004,        4.82038901276,   391318.54712361295 },
    {        0.00000000003,        0.24758758375,    28632.57577846660 },
    {        0.00000000004,        3.73245535012,    29580.47470844380 },
    {        0.00000000003,        5.50683793531,    25928.60140678200 },
    {        0.00000000004,        1.30672083529,   128857.55635958798 },
    {        0.00000000004,        2.91975490767,   104358.24112519680 },
    {        0.00000000003,        4.20598772135,    52400.15107885030 },
    {        0.00000000003,        2.10934687772,    60170.33472517260 },
    {        0.00000000003,        3.58809373398,    28471.09615635040 },
    {        0.00000000003,        3.28239195135,   208276.62694171758 },
    {        0.00000000003,        2.85078808201,    27360.58416720139 },
    {        0.00000000003,        2.17582056660,    27047.02600153180 },
    {        0.00000000003,        1.50018330501,     4371.87636677420 },
    {        0.00000000003,        0.91046516994,    76468.45098100159 },
    {        0.00000000003,        5.28365186085,     2751.54759969160 },
    {        0.00000000003,        0.87901414894,     1699.27921650320 },
    {        0.00000000003,        1.88463694401,    27353.47062020059 },
    {        0.00000000003,        5.30944897904,    51554.06248230919 },
    {        0.00000000003,        1.34767282324,     1169.58825140860 },
    {        0.00000000003,        1.02260378622,   193937.98608932379 },
    {        0.00000000003,        0.08040381198,   104241.40624507738 },
    {        0.00000000004,        0.92990491519,    23735.03698780239 },
    {        0.00000000003,        0.94893744180,    25991.92391435639 },
    {        0.00000000003,        0.22588113722,   203375.74902421076 },
    {        0.00000000003,        4.57210118096,    34102.10134449819 },
    {        0.00000000003,        1.72215842070,   170068.84005193636 },
    {        0.00000000003,        0.81863700708,    78262.22495201428 },
    {        0.00000000003,        3.80268685478,    25384.26995695679 },
    {        0.00000000003,        2.04040938346,   176332.24614102798 },
    {        0.00000000003,        1.84457498582,    45455.09230380700 },
    {        0.00000000003,        0.65752082616,    35679.44488694599 },
    {        0.00000000003,        5.96488404544,    52164.76058288449 },
    {        0.00000000003,        5.22098781756,     3462.24470586520 },
    {        0.00000000003,        2.07639441349,    24072.23205541439 },
    {        0.00000000003,        4.15153931980,   128843.32926558638 },
    {        0.00000000003,        4.53866780815,    28908.73428570040 },
    {        0.00000000003,        6.18743354616,    50160.82461135059 },
    {        0.00000000003,        4.26626022439,    67608.75720795698 },
    {        0.00000000003,        4.07476395108,    33917.99567300899 },
    {        0.00000000003,        4.19552535253,   149642.26895951436 },
    {        0.00000000003,        1.00306343406,   155460.92337225520 },
    {        0.00000000003,        1.95424623759,   104426.39416486409 },
    {        0.00000000003,        1.43273740893,    24719.24288872919 },
    {        0.00000000003,        4.35442914687,    38634.38508065720 },
    {        0.00000000003,        4.64552041720,    54879.42243782400 },
    {        0.00000000003,        4.16961765976,    76358.24465978218 },
    {        0.00000000003,        5.81598121096,    49976.71893986139 },
    {        0.00000000003,        4.34295741397,    16964.32638655680 },
    {        0.00000000003,        2.53451860055,    51861.62010327879 },
    {        0.00000000003,        2.49492450438,      636.99627202420 },
    {        0.00000000003,        3.92173943640,   155475.15046625677 },
    {        0.00000000003,        3.12145981611,   162810.49469943656 },
    {        0.00000000002,        0.59129261912,    50951.98844236979 },
    {        0.00000000003,        1.17681439145,    52145.47942214399 },
    {        0.00000000003,        3.00732745961,    24705.01579472759 },
    {        0.00000000002,        5.95257930202,    53399.62412392700 },
    {        0.00000000003,        4.63479353604,   104874.18998439058 },
    {        0.00000000003,        4.83384593430,   156523.53751408719 },
    {        0.00000000002,        3.69719041336,    24616.15011451060 },
    {        0.00000000003,        5.46916395598,    61921.12683900499 },
    {        0.00000000003,        0.61188230666,   171292.65789271498 },
    {        0.00000000003,        0.02228487735,        1.48447270830 },
    {        0.00000000003,        0.17724758311,    24510.55959912640 },
    {        0.00000000003,        4.95237759532,   102129.75593169978 },
    {        0.00000000003,        5.99061509510,    29864.33402730900 },
    {        0.00000000003,        3.93018711070,    17098.43543614181 },
    {        0.00000000002,        4.21937046280,    10681.25053656540 },
    {        0.00000000003,        0.28167729696,   169093.57054942797 },
    {        0.00000000002,        3.49816744164,    51092.72605085480 },
    {        0.00000000003,        0.52178350633,    52277.76880141400 },
    {        0.00000000003,        4.05955850118,    97466.46267636596 },
    {        0.00000000002,        5.23971659541,     1639.06951718800 },
    {        0.00000000003,        3.80600862869,    25124.50043860279 },
    {        0.00000000002,        0.12283639421,   149756.70824819960 },
    {        0.00000000002,        0.58027608343,    27573.88326263939 },
    {        0.00000000003,        3.08645332652,     4083.98850670440 },
    {        0.00000000002,        0.63115841045,     1485.29070670320 },
    {        0.00000000002,        0.17989490547,    78597.56536549199 },
    {        0.00000000003,        4.97930287376,   180496.55813064100 },
    {        0.00000000002,        0.84663844231,   163766.09444104519 },
    {        0.00000000003,        2.12660879167,    42790.96527507320 },
    {        0.00000000003,        5.24817307826,     6885.14988993081 },
    {        0.00000000003,        3.26326592296,   156531.30018480320 },
    {        0.00000000003,        4.84282671665,    49637.55777889479 },
    {        0.00000000002,        3.66265576771,    26397.18146422999 },
    {        0.00000000003,        4.15745762538,    51688.17153189420 },
    {        0.00000000002,        4.40058588833,    31127.49138988719 },
    {        0.00000000002,        4.51215350981,    52812.80255517260 },
    {        0.00000000002,        1.85614154560,   104401.60918820098 },
    {        0.00000000003,        0.24921211552,    25778.62481891839 },
    {        0.00000000003,        6.05682256137,    48153.54375118419 },
    {        0.00000000002,        4.09759047914,    24864.08530079559 },
    {        0.00000000002,        4.27961723610,   220025.88923089797 },
    {        0.00000000002,        5.31413874636,    75085.56363415498 },
    {        0.00000000002,        4.40043538600,    25248.93385382380 },
    {        0.00000000002,        5.50124846637,   106470.37642667518 },
    {        0.00000000002,        1.36339547689,     6044.22858137540 },
    {        0.00000000002,        5.61481903582,    28213.78054895339 },
    {        0.00000000002,        1.71226573993,    76532.58707178998 },
    {        0.00000000002,        1.47894403485,    78265.19389743089 },
    {        0.00000000002,        2.81905656676,    63786.35824152260 },
    {        0.00000000002,        2.66825602170,    53132.09543911899 },
    {        0.00000000002,        3.58699104379,    24787.07632336920 },
    {        0.00000000002,        6.10133380039,   104035.22069664019 },
    {        0.00000000002,        3.23064508032,   130020.03106399579 },
    {        0.00000000002,        1.11637372513,    76094.94894243999 },
    {        0.00000000002,        5.24666183170,    24734.15439655740 },
    {        0.00000000002,        3.73466434913,   199599.31813847594 },
    {        0.00000000002,        5.76862263272,    25661.99436506020 },
    {        0.00000000002,        4.46773900208,    26926.87242932459 },
    {        0.00000000003,        5.47127542511,    27388.72995977919 },
    {        0.00000000002,        2.48055036253,    25543.98508247800 },
    {        0.00000000002,        0.28737768397,   174620.79354899516 },
    {        0.00000000002,        3.23947010430,    42430.48572729180 },
    {        0.00000000002,        1.90098213386,    20272.79228193720 },
    {        0.00000000002,        4.30589300181,     2324.94940881560 },
    {        0.00000000002,        1.33937343257,   196156.74319351057 },
    {        0.00000000003,        0.24285063924,    23113.29318696320 },
    {        0.00000000002,        0.20903760722,   177287.84588263658 },
    {        0.00000000003,        4.48020724900,   156954.01704032117 },
    {        0.00000000002,        0.58830784715,   156377.85565231059 },
    {        0.00000000002,        2.17673056463,   133882.09065283637 },
    {        0.00000000002,        2.97360848608,    26235.98186600050 },
    {        0.00000000002,        2.39528557885,   104668.00443595338 },
    {        0.00000000002,        1.98009462137,    50476.52706664519 },
    {        0.00000000002,        3.79785772720,    65851.33653522459 },
    {        0.00000000002,        5.14733332770,   289185.69166150293 },
    {        0.00000000002,        3.15820059422,   207114.15223730978 },
    {        0.00000000002,        0.99424509152,     2064.97829370200 },
    {        0.00000000002,        3.96748008059,   225687.22128005017 },
    {        0.00000000002,        1.75880221581,    22595.33157470459 },
    {        0.00000000002,        0.35945480523,   104301.61594439259 },
    {        0.00000000002,        4.50142650477,    21067.98465416099 },
    {        0.00000000002,        4.06761017581,     1685.05212250160 },
    {        0.00000000002,        4.80714121052,      440.82528487760 },
    {        0.00000000002,        3.69573475242,     1574.84580128220 },
    {        0.00000000002,        4.47164076488,    65538.25598994759 },
    {        0.00000000002,        5.27720278071,    24998.19435038059 },
    {        0.00000000002,        0.03956368481,    24189.55192363460 },
    {        0.00000000002,        1.88701981019,    40738.70289615879 },
    {        0.00000000003,        3.07558765849,   230239.17477710897 },
    {        0.00000000002,        2.00682967230,    28786.35458895140 },
    {        0.00000000002,        2.92175843057,    22065.64060961000 },
    {        0.00000000002,        4.42508659344,    93696.66034953119 },
    {        0.00000000002,        0.02297616821,   197092.67317421938 },
    {        0.00000000002,        2.53282099987,   249268.47945736776 },
    {        0.00000000002,        1.06567957268,    21562.24796431520 },
    {        0.00000000002,        0.84740706727,    24494.89809302729 },
    {        0.00000000002,        4.28261879219,   123554.36581794015 },
    {        0.00000000002,        0.10971441902,    55484.27217852879 },
    {        0.00000000002,        0.29345837800,    24765.22549404280 },
    {        0.00000000002,        3.98649649262,    24808.10856894620 },
    {        0.00000000002,        5.89087983305,   283524.35961235070 },
    {        0.00000000002,        2.29200392607,    27410.58078910560 },
    {        0.00000000002,        1.16567793728,    53551.58008299420 },
    {        0.00000000002,        1.12952757353,    25572.43927048119 },
    {        0.00000000002,        1.63321646369,    66826.60603773296 },
    {        0.00000000002,        4.53722544295,    52355.88341343300 },
    {        0.00000000002,        4.30854449363,    71378.55953479178 },
    {        0.00000000002,        1.97399498955,      430.53034413910 },
    {        0.00000000002,        1.99872081555,    24932.54198416719 },
    {        0.00000000002,        4.55759105401,    49850.85687433279 },
    {        0.00000000002,        0.37032643194,    26500.27423844859 },
    {        0.00000000002,        3.83442901458,      307.55762096960 },
    {        0.00000000002,        5.81356382743,    51538.81001112419 },
    {        0.00000000002,        2.06311358499,    23233.26276766400 },
    {        0.00000000002,        2.21513587213,    25675.53204469980 },
    {        0.00000000002,        1.86537837885,     2703.61615467560 },
    {        0.00000000002,        4.36625276614,    41520.85406638280 },
    {        0.00000000002,        2.41635418383,    26713.57333388659 },
    {        0.00000000002,        5.53696157861,    87253.17713015496 },
    {        0.00000000002,        0.54252317353,        3.88133535800 },
    {        0.00000000002,        4.25487079347,    90989.16285949759 },
    {        0.00000000002,        4.42845015108,   158116.49174472899 },
    {        0.00000000002,        2.30331517982,    27883.16158529519 },
    {        0.00000000002,        2.98672680729,    57369.17334194619 },
    {        0.00000000002,        6.08199781417,    18043.37807764579 },
    {        0.00000000002,        0.73324052336,    25757.28417791599 },
    {        0.00000000002,        6.16225556919,       49.99662190420 },
    {        0.00000000002,        6.04230640954,    78115.63070029629 },
    {        0.00000000002,        2.01671299774,    46564.47085590040 },
    {        0.00000000002,        2.52858429504,    26140.99929388859 },
    {        0.00000000002,        4.60594242656,    52336.21365253320 },
    {        0.00000000002,        4.07531487160,    51734.98099827079 },
    {        0.00000000002,        5.76630255453,    78373.91574594198 },
    {        0.00000000002,        0.16910812024,    25462.23294926180 },
    {        0.00000000002,        0.29867787782,   107692.22499299659 },
    {        0.00000000002,        0.08977124652,    25135.82651831460 },
    {        0.00000000002,        6.02059582335,   164721.69418265377 },
    {        0.00000000002,        2.48908964809,    13705.85711308060 },
    {        0.00000000002,        3.07002924674,    23432.33476910039 },
    {        0.00000000002,        3.46681243572,   154408.65498906677 },
    {        0.00000000002,        0.05687800902,    26034.80698925980 },
    {        0.00000000002,        0.04904063753,   229463.65216578494 },
    {        0.00000000002,        4.28354458896,    24484.60315228879 },
    {        0.00000000002,        1.75454322097,    78697.42116259939 },
    {        0.00000000002,        4.02876141227,    26238.95081141709 },
    {        0.00000000002,        3.24222429199,    21509.65132471559 },
    {        0.00000000002,        1.81543335689,    87648.55043279778 },
    {        0.00000000002,        2.07300031744,    53654.67285721279 },
    {        0.00000000002,        2.52315832958,   210614.42461581077 },
    {        0.00000000002,        2.32677216347,    54862.52837768960 },
    {        0.00000000002,        3.03967372772,   104771.09721017198 },
    {        0.00000000002,        5.07022623770,    78112.66175487968 },
    {        0.00000000002,        1.10376435729,    50912.64892057020 },
    {        0.00000000002,        3.46489468484,    78905.12298646157 },
    {        0.00000000002,        0.67835568542,   235746.72801577637 },
    {        0.00000000002,        3.79260774499,     3308.46589538040 },
    {        0.00000000002,        5.85661754245,     2974.60995461100 },
    {        0.00000000002,        2.25512645553,    77929.85348395319 },
    {        0.00000000002,        5.18613735503,    50600.96048186620 },
    {        0.00000000002,        2.56189724502,    76064.62208143558 },
    {        0.00000000002,        4.05996888958,    24502.76239955349 },
    {        0.00000000002,        5.53877039970,    51040.12941125520 },
    {        0.00000000002,        0.76026031493,     1802.37199072180 },
    {        0.00000000002,        4.62411854151,   247223.17092456558 },
    {        0.00000000002,        0.05336994875,   146505.58156934578 },
    {        0.00000000002,        5.61214825198,    34082.43158359840 },
    {        0.00000000001,        5.70524522839,    52072.02409456780 },
    {        0.00000000001,        5.47105937931,    50690.51557644519 },
    {        0.00000000002,        1.73035919617,    99979.73619952260 },
    {        0.00000000002,        5.62955025847,    21819.80896338059 },
    {        0.00000000001,        5.12943475162,    23704.71012679799 },
    {        0.00000000001,        3.55982710637,   209658.82487420217 },
    {        0.00000000002,        0.11249539090,    38469.94917006779 },
    {        0.00000000002,        4.34823097600,   148532.89040742096 },
    {        0.00000000002,        4.70382111310,    50490.75416064679 },
    {        0.00000000001,        2.70277319349,    78249.48233072099 },
    {        0.00000000002,        0.62470424533,    51745.27593900929 },
    {        0.00000000002,        2.50077827630,   179966.86716554637 },
    {        0.00000000001,        4.52201346507,    98575.84122845937 },
    {        0.00000000002,        6.07032776125,    74935.57376844240 },
    {        0.00000000001,        3.75122611900,    76352.50994150539 },
    {        0.00000000002,        5.33836077527,   106684.80895916879 },
    {        0.00000000001,        0.71806518278,    28928.40404660019 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R1_MERCURY[] =
  {
    {        0.00217347740,        4.65617158665,    26087.90314157420 },
    {        0.00044141826,        1.42385544001,    52175.80628314840 },
    {        0.00010094479,        4.47466326327,    78263.70942472259 },
    {        0.00002432805,        1.24226083323,   104351.61256629678 },
    {        0.00001624367,        0.00000000000,        0.00000000000 },
    {        0.00000603996,        4.29303116468,   130439.51570787099 },
    {        0.00000152851,        1.06060778072,   156527.41884944518 },
    {        0.00000039202,        4.11136733071,   182615.32199101939 },
    {        0.00000017760,        4.54424729034,    27197.28169366760 },
    {        0.00000017999,        4.71193597233,    24978.52458948080 },
    {        0.00000010154,        0.87893540982,   208703.22513259359 },
    {        0.00000008086,        3.00540629863,    25028.52121138500 },
    {        0.00000004444,        2.13638817844,    20426.57109242200 },
    {        0.00000004393,        1.48073536997,    51066.42773105500 },
    {        0.00000003510,        3.21169312709,     1059.38193018920 },
    {        0.00000003133,        5.23846816226,    21535.94964451540 },
    {        0.00000002650,        3.92968869319,   234791.12827416777 },
    {        0.00000002498,        2.02627371234,    24498.83024629040 },
    {        0.00000002011,        1.23910805857,    53285.18483524180 },
    {        0.00000001963,        4.04525058702,     5661.33204915220 },
    {        0.00000001546,        2.61850768654,    26617.59410666880 },
    {        0.00000001542,        2.35662446357,    27043.50288318280 },
    {        0.00000001418,        1.37877634525,     1109.37855209340 },
    {        0.00000001295,        5.19094994605,    46514.47423399620 },
    {        0.00000001241,        0.21244114624,    11322.66409830440 },
    {        0.00000001090,        6.23729220424,    27147.28507176339 },
    {        0.00000001271,        0.56438178969,    25132.30339996560 },
    {        0.00000001120,        0.86372582920,    57837.13833230060 },
    {        0.00000001005,        3.28270573299,    37410.56723987860 },
    {        0.00000001177,        4.53194587462,    77154.33087262919 },
    {        0.00000000841,        5.96255043354,    14765.23904326980 },
    {        0.00000000935,        2.37277293840,    25661.30495069820 },
    {        0.00000000743,        0.77744171599,    32858.61374281979 },
    {        0.00000000736,        4.06886325615,     1589.07289528380 },
    {        0.00000000713,        2.70877599555,    16983.99614745660 },
    {        0.00000000863,        5.55319075962,    25558.21217647960 },
    {        0.00000000707,        0.92994379913,    30639.85663863300 },
    {        0.00000000696,        0.69734609780,   260879.03141574195 },
    {        0.00000000678,        2.02192026554,    26068.23338067440 },
    {        0.00000000608,        0.85717026702,     4551.95349705880 },
    {        0.00000000545,        5.38146993956,    26091.78447693220 },
    {        0.00000000608,        3.65993695204,    25448.00585526019 },
    {        0.00000000597,        4.64866860427,    26080.78959457339 },
    {        0.00000000572,        3.50127448259,    10213.28554621100 },
    {        0.00000000515,        4.83661700395,    50586.73338786459 },
    {        0.00000000532,        5.21858845471,    22645.32819660879 },
    {        0.00000000572,        0.62744603883,    13521.75144159140 },
    {        0.00000000517,        3.89429240358,    83925.04147387479 },
    {        0.00000000507,        5.55468086446,    12566.15169998280 },
    {        0.00000000606,        4.50209900884,    28306.66024576099 },
    {        0.00000000533,        0.93585445428,    26107.57290247399 },
    {        0.00000000435,        5.79040236288,    43071.89928903080 },
    {        0.00000000436,        5.86661030748,    25035.63475838580 },
    {        0.00000000429,        0.26257002232,    36301.18868778519 },
    {        0.00000000472,        6.00512006080,    77204.32749453338 },
    {        0.00000000443,        3.86746180481,    26084.02180621620 },
    {        0.00000000487,        4.23944310239,    26095.01668857500 },
    {        0.00000000406,        5.60324675895,    52705.49724824299 },
    {        0.00000000524,        0.06435802551,    25021.40766438420 },
    {        0.00000000379,        1.95636892131,    72602.37737557039 },
    {        0.00000000390,        3.81996113063,      426.59819087600 },
    {        0.00000000418,        2.77521264952,    41962.52073693740 },
    {        0.00000000453,        0.72806552601,      529.69096509460 },
    {        0.00000000358,        6.00165773999,    33326.57873317420 },
    {        0.00000000347,        1.39489736517,    23969.13928119580 },
    {        0.00000000340,        0.24130963838,    26301.20223701220 },
    {        0.00000000325,        4.78755454456,    23869.14603738740 },
    {        0.00000000290,        3.04040767889,    53235.18821333759 },
    {        0.00000000326,        1.30032135752,   103242.23401420339 },
    {        0.00000000316,        2.22800622388,    19317.19254032860 },
    {        0.00000000264,        3.93162118303,     6770.71060124560 },
    {        0.00000000332,        3.59225598431,    51220.20654153979 },
    {        0.00000000223,        2.76527165172,   103292.23063610759 },
    {        0.00000000215,        3.98001918299,    56727.75978020720 },
    {        0.00000000235,        2.24084854536,    25874.60404613620 },
    {        0.00000000215,        6.16644528217,    51646.11531805379 },
    {        0.00000000208,        2.74550745517,    40853.14218484400 },
    {        0.00000000204,        3.44662595112,     9103.90699411760 },
    {        0.00000000197,        0.80045639402,    27676.97603685800 },
    {        0.00000000196,        1.99906300504,    48733.23133818299 },
    {        0.00000000205,        3.20834398876,    18849.22754997420 },
    {        0.00000000218,        2.11855599471,    73711.75592766379 },
    {        0.00000000189,        0.65683523675,   110012.94461544899 },
    {        0.00000000207,        5.89089887294,    31749.23519072640 },
    {        0.00000000184,        3.74833520338,   286966.93455731618 },
    {        0.00000000174,        5.81261322150,    68050.42387851159 },
    {        0.00000000163,        4.00374821064,    79373.08797681599 },
    {        0.00000000152,        5.07392487296,    52156.13652224860 },
    {        0.00000000151,        2.83396005215,      955.59974160860 },
    {        0.00000000151,        0.40937127334,    26514.50133245020 },
    {        0.00000000147,        2.32188363628,    38654.05484155699 },
    {        0.00000000154,        3.26432452388,    38519.94579197200 },
    {        0.00000000185,        0.98990596875,    29530.47808653960 },
    {        0.00000000150,        3.69227943541,    65697.55772473979 },
    {        0.00000000132,        2.71821268672,    77734.01845962799 },
    {        0.00000000140,        2.05758999121,     6283.07584999140 },
    {        0.00000000122,        3.31360115889,    62389.09182935939 },
    {        0.00000000123,        2.07940467790,    25668.41849769900 },
    {        0.00000000118,        0.51915032422,    51535.90899683439 },
    {        0.00000000120,        2.15439400962,    52179.68761850640 },
    {        0.00000000152,        2.66001905502,    25654.19140369739 },
    {        0.00000000113,        2.33266633795,    78793.40038981718 },
    {        0.00000000124,        3.13057843195,    51109.31080595839 },
    {        0.00000000150,        2.60372699526,      639.89728631400 },
    {        0.00000000124,        2.65134648993,    51123.53789995999 },
    {        0.00000000106,        1.31444088780,    47623.85278608960 },
    {        0.00000000112,        5.00800079212,    98690.28051714458 },
    {        0.00000000107,        5.12874134815,    99799.65906923798 },
    {        0.00000000123,        6.13777841633,     1066.49547719000 },
    {        0.00000000106,        1.42968371953,    52168.69273614759 },
    {        0.00000000104,        4.51535298285,    25234.70675982219 },
    {        0.00000000120,        4.06575468260,    45892.73043315699 },
    {        0.00000000093,        4.72793717538,     2118.76386037840 },
    {        0.00000000112,        4.78989437046,    53131.40602475700 },
    {        0.00000000096,        5.03480533398,    32370.97899156560 },
    {        0.00000000091,        4.22087947367,    50057.04242277000 },
    {        0.00000000107,        0.14589408309,    12432.04265039780 },
    {        0.00000000091,        4.35426331615,   129330.13715577759 },
    {        0.00000000084,        0.32895187929,     1052.26838318840 },
    {        0.00000000084,        5.81466213086,   129380.13377768178 },
    {        0.00000000092,        0.34545636827,    77308.10968311399 },
    {        0.00000000078,        1.17740935265,    76674.63652943878 },
    {        0.00000000107,        1.01247025157,    52182.91983014920 },
    {        0.00000000082,        6.11430864932,    79323.09135491178 },
    {        0.00000000086,        2.50452244748,     7238.67559160000 },
    {        0.00000000072,        1.56149801558,    49957.04917896160 },
    {        0.00000000076,        1.62516369719,    15874.61759536320 },
    {        0.00000000090,        5.75449025797,    24491.71669928959 },
    {        0.00000000092,        3.97742380655,    52195.47604404819 },
    {        0.00000000068,        0.44537901082,    91785.46086631398 },
    {        0.00000000078,        0.63568556169,    52171.92494779040 },
    {        0.00000000064,        2.57343416459,    94138.32702008578 },
    {        0.00000000065,        2.12923498203,        7.11354700080 },
    {        0.00000000062,        3.70758538046,   136100.84775702318 },
    {        0.00000000068,        1.18992116627,    54394.56338733519 },
    {        0.00000000079,        3.35587970544,    52389.10537858640 },
    {        0.00000000060,        6.26094287016,    24505.94379329119 },
    {        0.00000000065,        5.09697559988,    51962.50718771040 },
    {        0.00000000061,        0.73863647120,    82815.66292178139 },
    {        0.00000000063,        1.29903752227,     2218.75710418680 },
    {        0.00000000070,        5.28679522332,    45405.09568190280 },
    {        0.00000000054,        0.89790115044,    71980.63357473118 },
    {        0.00000000057,        1.92411310638,    20760.42703319140 },
    {        0.00000000051,        4.71610129635,   105460.99111839019 },
    {        0.00000000054,        6.22074076941,    44937.13069154840 },
    {        0.00000000052,        3.43154581427,    25551.09862947879 },
    {        0.00000000052,        5.77926746609,    66941.04532641819 },
    {        0.00000000048,        0.51820543805,   313054.83769889036 },
    {        0.00000000052,        5.71872770622,   103821.92160120218 },
    {        0.00000000047,        3.82177422106,    53764.87917843220 },
    {        0.00000000050,        5.75583590982,    25938.33994443960 },
    {        0.00000000047,        5.52776222700,    77837.11123384659 },
    {        0.00000000043,        5.84980653694,    63498.47038145279 },
    {        0.00000000052,        2.63480617664,    18093.37469954999 },
    {        0.00000000042,        5.39170998784,    64741.95798313119 },
    {        0.00000000041,        1.87436617947,   125887.56221081219 },
    {        0.00000000045,        4.04573573351,    55618.38122811380 },
    {        0.00000000039,        3.50885173288,    52602.40447402440 },
    {        0.00000000051,        6.02412463531,    13655.86049117640 },
    {        0.00000000048,        0.72398672501,    33967.99229491319 },
    {        0.00000000038,        0.09228296016,    88476.99497093359 },
    {        0.00000000038,        1.84192926335,    78244.03966382280 },
    {        0.00000000041,        5.74762731223,    26727.80042788820 },
    {        0.00000000045,        5.73856748504,    44181.27784112419 },
    {        0.00000000038,        5.17731648720,    23754.70674870219 },
    {        0.00000000035,        0.81850559713,    23439.44831610119 },
    {        0.00000000036,        4.81776409496,    51116.42435295920 },
    {        0.00000000041,        2.91924856282,    26241.68195205900 },
    {        0.00000000032,        1.91980495251,    58458.88213313979 },
    {        0.00000000033,        1.27537006504,   131548.89425996438 },
    {        0.00000000031,        5.02484981561,    46848.33017476560 },
    {        0.00000000030,        3.95195102074,    26555.86813192860 },
    {        0.00000000031,        1.17956097833,    59414.48187474840 },
    {        0.00000000030,        0.55660013087,     3442.57494496540 },
    {        0.00000000033,        5.35914498696,   104881.30353139139 },
    {        0.00000000034,        3.55545989401,      433.71173787680 },
    {        0.00000000030,        1.25027037776,    26202.34243025941 },
    {        0.00000000029,        2.98819043245,    27154.39861876420 },
    {        0.00000000035,        3.23315937408,    25455.11940226100 },
    {        0.00000000033,        3.55107682453,    25440.89230825939 },
    {        0.00000000028,        4.36009500774,    80482.46652890938 },
    {        0.00000000033,        1.77301132586,   124778.18365871879 },
    {        0.00000000029,        0.03485368228,    79219.30916633119 },
    {        0.00000000030,        5.14824322621,    51756.32163927320 },
    {        0.00000000027,        2.59987755832,   155468.03691925600 },
    {        0.00000000027,        1.05618361621,    28421.09953444620 },
    {        0.00000000030,        5.72049964303,    51742.09454527159 },
    {        0.00000000029,        5.20497301981,    78267.59076008058 },
    {        0.00000000030,        6.10164768471,    26011.63707029860 },
    {        0.00000000026,        1.11277156957,   155418.04029735178 },
    {        0.00000000027,        3.38581716378,   103396.01282468818 },
    {        0.00000000025,        3.48854332661,   117873.36400788819 },
    {        0.00000000026,        6.19594686594,    77197.21394753258 },
    {        0.00000000025,        1.70207039258,    25973.46385288896 },
    {        0.00000000023,        1.48784027849,    28206.66700195260 },
    {        0.00000000023,        3.86573027322,    16066.06586147480 },
    {        0.00000000027,        4.06662296312,    78270.82297172339 },
    {        0.00000000022,        4.03831631421,      419.48464387520 },
    {        0.00000000023,        3.38647417024,    58946.51688439399 },
    {        0.00000000022,        1.34032161201,    51322.60990139639 },
    {        0.00000000023,        2.24016677563,   103925.01437542078 },
    {        0.00000000024,        3.67307410546,    26610.48055966799 },
    {        0.00000000021,        4.49579658422,    78256.59587772179 },
    {        0.00000000021,        3.69230315983,    77623.81213840858 },
    {        0.00000000028,        5.71579741424,    77211.44104153418 },
    {        0.00000000020,        3.97824189549,    98068.53671630539 },
    {        0.00000000020,        5.61186204564,   120226.23016165999 },
    {        0.00000000024,        1.72755836618,      853.19638175200 },
    {        0.00000000020,        6.15795630851,      213.29909543800 },
    {        0.00000000024,        2.89550770232,   105410.99449648599 },
    {        0.00000000021,        0.42057491496,      149.56319713460 },
    {        0.00000000020,        4.41593605146,    29416.03879785439 },
    {        0.00000000024,        2.43647861768,    50579.61984086379 },
    {        0.00000000020,        0.62149243389,    85034.42002596818 },
    {        0.00000000021,        0.18471197727,    35191.81013569180 },
    {        0.00000000020,        0.48534032212,   162188.75089859738 },
    {        0.00000000019,        2.39134899200,    26037.90651966999 },
    {        0.00000000018,        4.60102058427,    76044.95232053580 },
    {        0.00000000018,        3.06506502101,    50593.84693486539 },
    {        0.00000000022,        0.44685187346,     1596.18644228460 },
    {        0.00000000019,        3.59043449510,    27140.17152476259 },
    {        0.00000000019,        1.77495862092,    78050.41032928458 },
    {        0.00000000021,        0.16420917914,    78477.00852016058 },
    {        0.00000000021,        3.45801523273,   102762.53967101299 },
    {        0.00000000018,        1.82673294922,    25565.32572348040 },
    {        0.00000000022,        4.62812554933,    19406.67828817460 },
    {        0.00000000019,        5.28521008361,    26624.70765366959 },
    {        0.00000000019,        2.69563356202,   105307.21230790539 },
    {        0.00000000016,        4.38108594875,    25131.61398560359 },
    {        0.00000000018,        4.12920214042,     5327.47610838280 },
    {        0.00000000018,        1.12132022143,    76144.94556434419 },
    {        0.00000000015,        0.52310488443,    42153.96900304900 },
    {        0.00000000018,        2.04183547601,    71492.99882347698 },
    {        0.00000000018,        0.72265923388,    78283.37918562238 },
    {        0.00000000020,        3.87063422695,    51749.20809227239 },
    {        0.00000000014,        0.06668257964,    25984.81036735560 },
    {        0.00000000018,        3.79515954928,   108903.56606335558 },
    {        0.00000000014,        4.25123740486,   157636.79740153858 },
    {        0.00000000014,        2.30100270598,    18207.81398823521 },
    {        0.00000000019,        2.52491398171,   129909.82474277639 },
    {        0.00000000013,        4.91446105451,   151975.46535238638 },
    {        0.00000000014,        3.82631305037,     7880.08915333899 },
    {        0.00000000015,        1.42348252663,    40565.25432477420 },
    {        0.00000000014,        0.49847426695,    26137.89976347840 },
    {        0.00000000016,        1.93614457319,    49842.60989027639 },
    {        0.00000000014,        1.68315486020,     6681.22485339960 },
    {        0.00000000016,        2.97339589661,    71025.03383312259 },
    {        0.00000000013,        0.09179476261,       76.26607127560 },
    {        0.00000000013,        2.18789083340,    90829.86112470538 },
    {        0.00000000012,        2.17529291977,    29428.51556827400 },
    {        0.00000000013,        0.55788178178,    79852.78232000639 },
    {        0.00000000016,        3.67857856689,    78259.82808936459 },
    {        0.00000000013,        3.16115557204,    25881.71759313700 },
    {        0.00000000012,        3.49193422292,    64607.84893354619 },
    {        0.00000000012,        0.81761525395,    81706.28436968799 },
    {        0.00000000012,        0.31632203314,    78690.30761559859 },
    {        0.00000000012,        2.09762480906,    24609.03656750980 },
    {        0.00000000015,        2.58203356183,    93028.94846799239 },
    {        0.00000000012,        3.14266169479,   114564.89811250778 },
    {        0.00000000013,        3.56100116701,   339142.74084046460 },
    {        0.00000000011,        0.04545445248,    19804.82729158280 },
    {        0.00000000011,        4.95969052565,    84546.78527471398 },
    {        0.00000000011,        2.38972392013,    10021.83728009940 },
    {        0.00000000011,        3.22945823005,    90695.75207512039 },
    {        0.00000000012,        0.71734482256,    26294.08869001139 },
    {        0.00000000010,        2.92861070824,      536.80451209540 },
    {        0.00000000011,        1.78852128558,    69159.80243060499 },
    {        0.00000000010,        1.89783740289,    24925.42843716640 },
    {        0.00000000011,        3.48412644818,     7994.52844202420 },
    {        0.00000000012,        0.12617932392,    51543.02254383520 },
    {        0.00000000010,        3.60589886808,    49527.35145767539 },
    {        0.00000000012,        6.27492199816,     1581.95934828300 },
    {        0.00000000012,        6.05888678029,    52329.58509363319 },
    {        0.00000000009,        5.35262821933,     2648.45482547300 },
    {        0.00000000011,        1.66471845038,    26507.38778544939 },
    {        0.00000000010,        2.53893582711,    52815.70356946240 },
    {        0.00000000009,        5.25424591978,   130012.91751699499 },
    {        0.00000000010,        5.63677389632,   181555.94006083018 },
    {        0.00000000011,        4.93443540854,   104331.94280539699 },
    {        0.00000000009,        0.35849773025,    26521.61487945100 },
    {        0.00000000010,        2.79816937867,    39743.76363275060 },
    {        0.00000000009,        0.71220225370,    25764.39772491679 },
    {        0.00000000010,        1.17340335585,    25934.12433108940 },
    {        0.00000000009,        3.20002719704,    39629.32434406539 },
    {        0.00000000008,        4.19761308993,   181505.94343892598 },
    {        0.00000000010,        2.48682113937,   103299.34418310839 },
    {        0.00000000011,        0.22893201377,    51639.00177105299 },
    {        0.00000000008,        0.16348041588,   129483.91596626239 },
    {        0.00000000009,        0.30337489561,    27999.10262479140 },
    {        0.00000000009,        3.99498377108,      522.57741809380 },
    {        0.00000000008,        2.54138408889,    26190.99591579279 },
    {        0.00000000011,        5.95249130311,    38813.35657634920 },
    {        0.00000000008,        3.31854576667,    24395.73747207180 },
    {        0.00000000008,        4.64662384390,    26094.53170047421 },
    {        0.00000000011,        4.84765242606,   150866.08680029298 },
    {        0.00000000008,        5.11571024014,    25619.93815121980 },
    {        0.00000000008,        0.71596259507,    52643.77127350280 },
    {        0.00000000008,        1.19651473439,    25867.49049913539 },
    {        0.00000000008,        0.31282225043,    51528.79544983359 },
    {        0.00000000008,        5.89654379780,    23976.25282819660 },
    {        0.00000000010,        2.11360383925,   130969.20667296558 },
    {        0.00000000008,        4.88364028664,    22759.76748529401 },
    {        0.00000000007,        0.23623382371,   143961.26714946239 },
    {        0.00000000007,        0.85604718929,   104358.72611329758 },
    {        0.00000000009,        3.29913653682,    12725.45343477500 },
    {        0.00000000007,        3.46214563345,    26237.46633870879 },
    {        0.00000000007,        6.03210574641,    53242.30176033840 },
    {        0.00000000007,        2.37810032854,   146314.13330323418 },
    {        0.00000000007,        3.13316977597,      632.78373931320 },
    {        0.00000000007,        2.54301544837,    77829.99768684579 },
    {        0.00000000007,        0.73956927174,   124156.43985787958 },
    {        0.00000000007,        3.70026494730,    85502.38501632259 },
    {        0.00000000007,        5.62145437858,   131395.11544947958 },
    {        0.00000000008,        1.94555311267,    77844.22478084739 },
    {        0.00000000007,        5.14149225737,    35472.74414964940 },
    {        0.00000000008,        3.48926584442,    25863.55834587229 },
    {        0.00000000008,        1.49877323045,    26081.27458267419 },
    {        0.00000000008,        5.18714163199,    23962.02573419499 },
    {        0.00000000009,        2.01436615102,   104355.49390165479 },
    {        0.00000000006,        3.29980048581,   104564.91166173479 },
    {        0.00000000007,        2.03785266970,   100909.03762133139 },
    {        0.00000000007,        0.57886086091,    86143.79857806159 },
    {        0.00000000006,        5.26631894455,    50696.93970908399 },
    {        0.00000000006,        4.15417610256,    54509.00267602040 },
    {        0.00000000006,        4.43201408602,    54294.57014352679 },
    {        0.00000000007,        4.34076115792,    52290.24557183361 },
    {        0.00000000006,        3.56561263718,    27684.08958385880 },
    {        0.00000000008,        5.96307679067,   131498.89763806018 },
    {        0.00000000006,        0.71203388696,    89586.37352302698 },
    {        0.00000000007,        4.87238413087,    26941.09952332620 },
    {        0.00000000007,        3.86685146587,    34282.17847478280 },
    {        0.00000000006,        5.78409267205,    70269.18098269838 },
    {        0.00000000006,        1.41633910671,   102132.85546210999 },
    {        0.00000000007,        3.58295941315,   188276.65404017159 },
    {        0.00000000006,        4.72373191376,   104138.31347085879 },
    {        0.00000000006,        4.58647990894,    25977.69682035479 },
    {        0.00000000006,        5.13295981391,    97580.90196505119 },
    {        0.00000000007,        6.19371116461,   128850.44281258718 },
    {        0.00000000007,        2.66802033812,      647.01083331480 },
    {        0.00000000005,        0.04375887104,    13541.42120249119 },
    {        0.00000000006,        0.33123091213,    26308.31578401300 },
    {        0.00000000005,        5.56381967808,    96357.08412427259 },
    {        0.00000000005,        4.80464589535,    51013.33157874059 },
    {        0.00000000006,        5.53758966617,   155997.72788435058 },
    {        0.00000000005,        5.60807429033,    76667.52298243798 },
    {        0.00000000006,        4.28669891744,    14477.35118320000 },
    {        0.00000000005,        3.19580206930,    26164.16921284980 },
    {        0.00000000005,        2.77179581202,      224.34479570190 },
    {        0.00000000005,        5.49690701497,    52125.80966124419 },
    {        0.00000000006,        3.04296474364,    13362.44970679920 },
    {        0.00000000006,        1.12902280478,    27311.72098235281 },
    {        0.00000000005,        3.67139738592,    25241.82030682300 },
    {        0.00000000005,        3.09230254875,   115674.27666460119 },
    {        0.00000000005,        4.44854763906,    25227.59321282139 },
    {        0.00000000005,        6.11660618145,    76681.75007643958 },
    {        0.00000000005,        4.08211677301,   209812.60368468694 },
    {        0.00000000005,        1.73089458865,      956.28915597060 },
    {        0.00000000005,        5.66811291485,    45290.65639321759 },
    {        0.00000000005,        3.13493063609,   103285.11708910679 },
    {        0.00000000006,        0.68903019707,    26720.68688088739 },
    {        0.00000000005,        1.38851632143,   104344.49901929598 },
    {        0.00000000005,        4.91303143516,    52061.36699446317 },
    {        0.00000000005,        1.74146694456,   178063.36849396059 },
    {        0.00000000006,        0.57541579782,   134991.46920492980 },
    {        0.00000000005,        2.68983687693,    50064.15596977079 },
    {        0.00000000004,        1.00808694646,   183724.70054311279 },
    {        0.00000000006,        3.71607717230,    26162.68474014150 },
    {        0.00000000004,        0.62283626032,    22747.29071487440 },
    {        0.00000000004,        4.50456714341,    77410.51304297059 },
    {        0.00000000005,        1.56490281477,    11610.55195837420 },
    {        0.00000000005,        4.32652438787,    32132.13172294960 },
    {        0.00000000004,        1.00639601102,    51219.51712717779 },
    {        0.00000000004,        1.51036812292,    66653.15746634839 },
    {        0.00000000004,        0.36128713063,    48835.19385644859 },
    {        0.00000000004,        0.41686657221,    52698.38370124219 },
    {        0.00000000005,        0.98141094776,    71582.48457132299 },
    {        0.00000000005,        3.11319066063,    61279.71327726600 },
    {        0.00000000005,        2.13218330001,    39609.65458316560 },
    {        0.00000000004,        1.96389435563,    52712.61079524379 },
    {        0.00000000004,        5.99354847872,   121335.60871375339 },
    {        0.00000000004,        5.78126086314,    26734.91397488900 },
    {        0.00000000004,        2.73212882510,     1692.16566950240 },
    {        0.00000000004,        3.01852709067,    52072.71350892979 },
    {        0.00000000005,        5.66771377195,   119116.85160956658 },
    {        0.00000000005,        0.77258282125,   103711.71527998279 },
    {        0.00000000005,        6.04945174043,    97112.93697469679 },
    {        0.00000000004,        0.36575665885,    31415.37924995700 },
    {        0.00000000005,        5.02731895212,    51653.22886505459 },
    {        0.00000000004,        3.93621649933,   104371.28232719658 },
    {        0.00000000004,        5.41284039165,    72936.23331633979 },
    {        0.00000000004,        2.92377236341,    78417.48823520739 },
    {        0.00000000004,        3.51647396311,    74821.13447975718 },
    {        0.00000000004,        4.54421819395,    26198.10946279360 },
    {        0.00000000004,        0.88403223565,    60055.89543648739 },
    {        0.00000000003,        2.66890053344,    24176.70365835700 },
    {        0.00000000004,        5.69108860339,    25138.72753260440 },
    {        0.00000000003,        3.87783398339,   107794.18751126219 },
    {        0.00000000003,        5.41502481469,    44295.71712980940 },
    {        0.00000000004,        6.15603833593,   140652.80125408198 },
    {        0.00000000003,        2.04324855763,   156100.82065856917 },
    {        0.00000000003,        1.43970050784,   130226.21661243298 },
    {        0.00000000004,        4.42783340987,    32769.12799497380 },
    {        0.00000000004,        1.81467845339,    50049.92887576919 },
    {        0.00000000003,        0.63347622471,   104347.73123093879 },
    {        0.00000000003,        3.32438215067,   170049.17029103660 },
    {        0.00000000003,        0.67090491468,    26222.01219115920 },
    {        0.00000000004,        1.76229044896,   110634.68841628819 },
    {        0.00000000003,        5.53149982046,    52101.02468458109 },
    {        0.00000000004,        4.50620915113,    52169.17772424839 },
    {        0.00000000004,        3.56885504720,   105940.68546158058 },
    {        0.00000000004,        0.21580922543,   214364.55718174577 },
    {        0.00000000003,        3.38684695593,    77616.69859140778 },
    {        0.00000000004,        2.17281001389,   182085.63102592478 },
    {        0.00000000003,        2.92184086259,    78187.44335344699 },
    {        0.00000000003,        3.62367878110,   102232.84870591838 },
    {        0.00000000003,        6.16140322421,    12546.48193908300 },
    {        0.00000000004,        0.33659131492,    53228.07466633679 },
    {        0.00000000004,        0.86535240325,    24822.33566294780 },
    {        0.00000000003,        3.54130574747,    28791.51929624980 },
    {        0.00000000003,        5.53380981999,      323.50541665740 },
    {        0.00000000003,        0.55130340136,     1911.19948321720 },
    {        0.00000000003,        0.87110894776,   207593.84658050019 },
    {        0.00000000003,        5.53793227956,   129387.24732468258 },
    {        0.00000000004,        1.48944067730,   176953.98994186718 },
    {        0.00000000003,        1.39556385937,      110.20632121940 },
    {        0.00000000003,        3.73684881528,    68241.87214462319 },
    {        0.00000000003,        5.18504918985,    17893.62780836560 },
    {        0.00000000003,        5.78973675301,    27780.06881107659 },
    {        0.00000000003,        1.34609552040,    52182.43484204840 },
    {        0.00000000004,        0.33642454097,   365230.64398203877 },
    {        0.00000000003,        3.31724366253,   104778.21075717278 },
    {        0.00000000003,        0.35623812687,    75615.25459924959 },
    {        0.00000000003,        5.28343621642,   183570.92173262799 },
    {        0.00000000003,        0.96990585284,    25780.34552060460 },
    {        0.00000000003,        5.33125415195,   172402.03644480839 },
    {        0.00000000003,        0.56049277948,    52250.58788171570 },
    {        0.00000000003,        4.87139349011,    27044.19229754480 },
    {        0.00000000004,        5.37885673963,    52022.02747266360 },
    {        0.00000000003,        2.98512848612,   102769.65321801379 },
    {        0.00000000003,        3.02425841901,    74923.09699802278 },
    {        0.00000000003,        0.49237630844,    35077.37084700659 },
    {        0.00000000003,        3.10202105417,   155571.81910783658 },
    {        0.00000000003,        2.40265630063,   207643.84320240439 },
    {        0.00000000003,        5.24629397059,    55516.41870984820 },
    {        0.00000000003,        1.46721236412,    77101.23472031478 },
    {        0.00000000003,        2.66397867066,   157586.80077963436 },
    {        0.00000000003,        0.67298226082,   112231.70171963578 },
    {        0.00000000003,        4.99605169070,   103932.12792242158 },
    {        0.00000000003,        4.10691179553,     1478.86657406440 },
    {        0.00000000003,        6.27831375933,     3340.61242669980 },
    {        0.00000000003,        4.70793427922,    52595.29092702359 },
    {        0.00000000003,        3.30698355673,   111122.32316754239 },
    {        0.00000000003,        3.59410472234,   161079.37234650398 },
    {        0.00000000003,        1.08598465210,     2125.87740737920 },
    {        0.00000000003,        2.86835872465,    79330.20490191258 },
    {        0.00000000003,        0.03528312928,   130652.81480330898 },
    {        0.00000000003,        4.91342309115,   130443.39704322898 },
    {        0.00000000003,        3.81834920265,   130446.62925487179 },
    {        0.00000000003,        5.36562496748,    36109.74042167360 },
    {        0.00000000003,        4.08661000212,    97670.38771289718 },
    {        0.00000000003,        3.26620026556,    27669.86248985719 },
    {        0.00000000003,        3.18918832992,    64901.25971792339 },
    {        0.00000000003,        5.81508759911,    65831.66677432480 },
    {        0.00000000003,        5.12438368628,   225687.22128005017 },
    {        0.00000000003,        5.22842077296,   116917.76426627958 },
    {        0.00000000003,        4.34062442450,   128220.75860368418 },
    {        0.00000000003,        6.07858503745,    26724.89941359840 },
    {        0.00000000002,        5.50809745225,    78903.60671103658 },
    {        0.00000000003,        4.22986268574,    53399.62412392700 },
    {        0.00000000002,        3.93729718963,    25352.02662804239 },
    {        0.00000000003,        4.09989052992,    25446.48957983520 },
    {        0.00000000002,        1.09392137734,    24998.19435038059 },
    {        0.00000000002,        3.68762047589,   150244.34299945380 },
    {        0.00000000003,        3.19241041107,    77630.92568540938 },
    {        0.00000000003,        6.21988692602,    51969.62073471119 },
    {        0.00000000003,        1.11955202845,    80382.47328510099 },
    {        0.00000000002,        2.12662656444,    28736.35796704720 },
    {        0.00000000003,        2.04127296360,    76784.84285065818 },
    {        0.00000000002,        5.87891896219,   104505.39137678158 },
    {        0.00000000003,        1.71543070116,   130419.84594697120 },
    {        0.00000000002,        2.72423428668,    23866.04650697719 },
    {        0.00000000003,        4.73772050139,   204151.27163553477 },
    {        0.00000000002,        1.63035800038,      206.18554843720 },
    {        0.00000000002,        0.28516429317,    52325.36948028299 },
    {        0.00000000003,        1.04046826719,    78378.14871340781 },
    {        0.00000000002,        5.57938361325,    24292.64469785319 },
    {        0.00000000002,        1.79521955728,   123668.80510662538 },
    {        0.00000000003,        5.45838796650,      220.41264243880 },
    {        0.00000000003,        4.42874475531,    51955.39364070959 },
    {        0.00000000002,        2.17330948821,   157483.01859105378 },
    {        0.00000000002,        4.42013828428,    78270.33798362259 },
    {        0.00000000002,        1.95807177582,   102018.41617342478 },
    {        0.00000000003,        0.90312079140,    80596.90581759460 },
    {        0.00000000003,        0.79264995950,    87253.17713015496 },
    {        0.00000000002,        0.27619168326,   111590.28815789679 },
    {        0.00000000002,        6.07933917378,    39450.35284837340 },
    {        0.00000000002,        3.76044810773,    78731.67441507700 },
    {        0.00000000002,        2.15358480656,    78213.71280281838 },
    {        0.00000000003,        2.99177358632,   102755.42612401219 },
    {        0.00000000002,        4.21598945690,    81591.84508100279 },
    {        0.00000000003,        2.32279667601,   145204.75475114078 },
    {        0.00000000002,        0.25549281668,    22909.75735100660 },
    {        0.00000000002,        6.14643883768,   141762.17980617538 },
    {        0.00000000002,        4.52361884313,    20043.67456019880 },
    {        0.00000000003,        1.75443444354,    77741.13200662879 },
    {        0.00000000003,        5.20551476382,    26709.64694241340 },
    {        0.00000000003,        5.08171722545,   157057.10981453978 },
    {        0.00000000002,        5.52481194670,   104202.04936916218 },
    {        0.00000000002,        0.47870092643,     2111.65031337760 },
    {        0.00000000002,        2.47915773617,    78114.14622758799 },
    {        0.00000000003,        2.27153901784,    25953.79409198919 },
    {        0.00000000002,        3.82824341716,     1162.47470440780 },
    {        0.00000000002,        0.51034872663,   133882.09065283637 },
    {        0.00000000002,        3.73613869026,    24601.92302050899 },
    {        0.00000000003,        3.59795425725,    52396.21892558720 },
    {        0.00000000002,        5.13033023401,    26823.77965510599 },
    {        0.00000000002,        4.43860191568,    25450.90686955000 },
    {        0.00000000002,        5.79358770849,   181026.24909573558 },
    {        0.00000000002,        2.21653310659,    26402.08932144380 },
    {        0.00000000002,        4.78156121936,    51859.41441349179 },
    {        0.00000000002,        2.34758825112,    78109.93061423779 },
    {        0.00000000002,        3.31605319473,    52609.51802102519 },
    {        0.00000000002,        3.95441673698,    52808.59002246159 },
    {        0.00000000002,        2.72617137486,   123200.84011627098 },
    {        0.00000000002,        3.78539987320,    52381.99183158559 },
    {        0.00000000002,        1.51043652717,    78149.27013603736 },
    {        0.00000000002,        2.79844678677,   167850.08294774959 },
    {        0.00000000002,        1.04172617563,    52492.19815280499 },
    {        0.00000000003,        2.56160742762,   154938.34595416137 },
    {        0.00000000002,        4.64184952554,    60370.08161635699 },
    {        0.00000000002,        1.36020518792,     3328.13565628019 },
    {        0.00000000002,        1.24306133807,    58857.03113654799 },
    {        0.00000000002,        0.61134558822,   128320.75184749259 },
    {        0.00000000002,        3.66766587868,    51852.30086649099 },
    {        0.00000000003,        3.60643045560,    52225.80290505260 },
    {        0.00000000002,        3.83820356329,    16703.06213349900 },
    {        0.00000000002,        6.27055581751,   130866.11389874699 },
    {        0.00000000002,        1.60943083243,    53029.00266490040 },
    {        0.00000000002,        0.74910000830,    26667.59072857300 },
    {        0.00000000002,        1.22999905791,   103498.41618454478 },
    {        0.00000000002,        6.15892249504,    52252.07235442399 },
    {        0.00000000002,        5.23865884724,    26729.31670331319 },
    {        0.00000000002,        5.92374472867,    78160.61665050399 },
    {        0.00000000002,        5.69052913085,   189853.99758261937 },
    {        0.00000000002,        3.69732655609,    52309.91533273340 },
    {        0.00000000002,        4.01638193690,    51868.24866217880 },
    {        0.00000000002,        5.60946469584,   103917.90082841998 },
    {        0.00000000002,        2.05507054538,    70383.62027138360 },
    {        0.00000000002,        6.01217703537,    94329.77528619739 },
    {        0.00000000002,        2.32199957299,    51226.63067417859 },
    {        0.00000000002,        2.67908261522,   173511.41499690176 },
    {        0.00000000002,        3.62032090461,     6885.14988993081 },
    {        0.00000000002,        1.58668212347,    26013.12154300690 },
    {        0.00000000002,        1.81879125394,    27177.61193276780 },
    {        0.00000000002,        1.81202528574,    25771.51127191760 },
    {        0.00000000002,        6.06186683896,   129373.02023068098 },
    {        0.00000000002,        5.38601913539,   151199.94274106238 },
    {        0.00000000002,        0.20113172923,    25754.04720080480 },
    {        0.00000000002,        5.96231230667,    23919.14265929160 },
    {        0.00000000002,        5.44340217714,    95247.70557217918 },
    {        0.00000000002,        1.68782102934,    27250.37784598199 },
    {        0.00000000002,        4.33776532179,    26404.29501123080 },
    {        0.00000000002,        1.10098144775,     1223.81784077861 },
    {        0.00000000002,        2.87118340279,   137678.19129947099 },
    {        0.00000000002,        1.73319857606,    92741.06060792258 },
    {        0.00000000002,        3.72580494980,    34082.43158359840 },
    {        0.00000000002,        5.77505044086,    25600.26839032000 },
    {        0.00000000002,        0.26892495924,    53771.99272543299 },
    {        0.00000000002,        3.97982464503,   129799.61842155698 },
    {        0.00000000002,        0.60185817387,       74.78159856730 },
    {        0.00000000002,        3.37711958412,     2221.85663459700 },
    {        0.00000000002,        3.37390513588,    26575.53789282839 },
    {        0.00000000002,        2.81094355112,   118828.96374949679 },
    {        0.00000000002,        5.68640078492,    50264.60679993120 },
    {        0.00000000002,        4.37218185067,     8194.27533320860 },
    {        0.00000000002,        6.09074384651,     2333.19639287200 },
    {        0.00000000002,        5.21226121395,    52278.89905736699 },
    {        0.00000000002,        0.47057494510,    25773.71696170459 },
    {        0.00000000002,        1.23732034066,    78257.08086582259 },
    {        0.00000000002,        4.51390388591,    37698.45509994840 },
    {        0.00000000002,        3.29240007524,    77726.90491262719 },
    {        0.00000000002,        5.79437105261,    26312.24793727610 },
    {        0.00000000002,        1.11912985777,    51315.49635439559 },
    {        0.00000000002,        2.50406010238,    19202.75325164339 },
    {        0.00000000002,        1.61719066741,    24079.34560241519 },
    {        0.00000000002,        5.00820642202,   182188.72380014337 },
    {        0.00000000002,        3.08979268503,   195047.36464141717 },
    {        0.00000000002,        2.19163720361,    26395.46076254379 },
    {        0.00000000002,        1.93268238025,    26189.86565983980 },
    {        0.00000000001,        1.95651508860,    26073.67604757259 },
    {        0.00000000002,        1.69360766883,    48847.67062686820 },
    {        0.00000000002,        4.77850859259,   136722.59155786238 },
    {        0.00000000002,        1.23109092649,    52286.01260436779 },
    {        0.00000000002,        1.92969421017,   143005.66740785379 },
    {        0.00000000002,        5.31894725019,    23384.28698689860 },
    {        0.00000000002,        4.01601058100,   189386.03259226496 },
    {        0.00000000002,        4.13493316476,    25466.15934073500 },
    {        0.00000000002,        4.58005710714,    25004.82290928060 },
    {        0.00000000001,        4.50232888505,   101703.15774082378 },
    {        0.00000000002,        1.99945872949,    17098.43543614181 },
    {        0.00000000001,        5.86202636151,   163766.09444104519 },
    {        0.00000000002,        4.42951918443,   132658.27281205778 },
    {        0.00000000002,        4.91675947523,    24448.83362438620 },
    {        0.00000000002,        2.35593686283,   147423.51185532758 },
    {        0.00000000002,        4.35624857900,   130432.40216087017 },
    {        0.00000000001,        4.98789585706,    78800.51393681798 },
    {        0.00000000001,        1.09794599902,    55503.94193942859 },
    {        0.00000000002,        1.80354488061,      860.30992875280 },
    {        0.00000000002,        2.50676380667,    61560.64729122359 },
    {        0.00000000002,        0.29051427089,    24356.78078864160 },
    {        0.00000000002,        6.11873017537,    87367.61641884019 },
    {        0.00000000001,        1.32811901694,   154194.22245657316 },
    {        0.00000000002,        1.30375159885,   144916.86689107097 },
    {        0.00000000001,        3.51165251141,    26421.75908234360 },
    {        0.00000000001,        5.54890134424,   220025.88923089797 },
    {        0.00000000001,        4.52193457212,    27170.98337386779 },
    {        0.00000000002,        2.16673373766,      103.09277421860 },
    {        0.00000000001,        2.97156317234,      846.08283475120 },
    {        0.00000000001,        3.56056299689,    78786.28684281638 },
    {        0.00000000001,        1.72265685452,    25508.21555457540 },
    {        0.00000000002,        1.14700860003,    61165.27398858079 },
    {        0.00000000002,        5.40448093264,     1265.56747862640 },
    {        0.00000000002,        0.63660432851,    52065.59996192899 },
    {        0.00000000001,        5.30775305827,    22625.65843570900 },
    {        0.00000000002,        2.87848636951,   166740.70439565618 },
    {        0.00000000002,        1.64559155822,    75930.51303185058 },
    {        0.00000000001,        0.51782407060,   113341.08027172917 },
    {        0.00000000001,        0.26594892339,    76571.54375522019 },
    {        0.00000000001,        1.68473271541,    28286.99048486120 },
    {        0.00000000001,        3.43479665429,   130435.63437251298 },
    {        0.00000000001,        4.94766296108,   205260.65018762814 },
    {        0.00000000001,        5.67189364590,   122444.98726584678 },
    {        0.00000000002,        0.35003578980,   132028.58860315479 },
    {        0.00000000001,        3.82950218931,    50910.23880452200 },
    {        0.00000000001,        0.58719200248,    78896.49316403578 },
    {        0.00000000001,        1.40281382564,      467.96499035440 },
    {        0.00000000001,        3.70071408896,   116783.65521669458 },
    {        0.00000000001,        1.98838052622,    81604.32185142238 },
    {        0.00000000001,        5.87508556606,   104275.34649502118 },
    {        0.00000000001,        2.06878150381,    78188.92782615528 },
    {        0.00000000001,        3.08543227540,     9384.84100807520 },
    {        0.00000000001,        3.30520943702,       19.66976089979 },
    {        0.00000000001,        2.76310033884,    52812.80255517260 },
    {        0.00000000001,        5.76310756779,     1375.77379984580 },
    {        0.00000000001,        5.71684807894,    76152.05911134499 },
    {        0.00000000001,        3.43817796928,    65717.22748563958 },
    {        0.00000000001,        0.85559605439,    25985.94062330859 },
    {        0.00000000001,        5.99281135918,   106570.36967048359 },
    {        0.00000000001,        1.87029583839,    26411.40855823160 },
    {        0.00000000001,        2.97621377443,    91805.13062721379 },
    {        0.00000000001,        2.81819497010,   168959.46149984296 },
    {        0.00000000001,        6.14145843596,   221135.26778299137 },
    {        0.00000000001,        6.19284917502,   103718.82882698359 },
    {        0.00000000001,        0.38545603521,   130459.18546877075 },
    {        0.00000000001,        5.58283403624,   104197.83375581198 },
    {        0.00000000001,        2.74916354771,   170068.84005193636 },
    {        0.00000000001,        2.29937985557,    58220.03486452380 },
    {        0.00000000001,        0.77298125199,    26102.13023557580 },
    {        0.00000000001,        3.82192552665,    25928.60140678200 },
    {        0.00000000001,        0.48738972037,   104819.57755665119 },
    {        0.00000000001,        0.34737694069,     1795.25844372100 },
    {        0.00000000001,        5.04672208460,    26247.20487636640 },
    {        0.00000000001,        4.44724577178,     6044.22858137540 },
    {        0.00000000001,        4.31124637329,    50483.64061364600 },
    {        0.00000000001,        3.69136847395,    77307.42026875199 },
    {        0.00000000001,        0.40474217020,      636.99627202420 },
    {        0.00000000001,        6.11533644929,   241561.83887541335 },
    {        0.00000000001,        0.08760404468,    54879.42243782400 },
    {        0.00000000001,        1.61849542996,   128106.31931499895 },
    {        0.00000000001,        6.27732006130,   196137.07343261078 },
    {        0.00000000001,        0.82044479603,    51329.72344839720 },
    {        0.00000000001,        0.98691419134,   163298.12945069079 },
    {        0.00000000001,        2.30107750853,   179172.74704605396 },
    {        0.00000000001,        0.61075768459,    51534.39272140940 },
    {        0.00000000001,        0.58942299216,    78469.89497315978 },
    {        0.00000000001,        3.29001702156,    79315.97780791098 },
    {        0.00000000001,        4.50997601178,   203041.89308344139 },
    {        0.00000000001,        1.19400695200,     8989.46770543239 },
    {        0.00000000001,        2.30283274772,    50380.54783942739 },
    {        0.00000000001,        3.04434275932,    78057.52387628538 },
    {        0.00000000001,        1.59838533079,   137210.22630911658 },
    {        0.00000000001,        6.25852814644,    50800.03248330259 },
    {        0.00000000001,        4.59739779893,   156507.74908854539 },
    {        0.00000000001,        3.52857712732,    78338.49102328988 },
    {        0.00000000001,        3.29578424156,    51841.95034237900 },
    {        0.00000000001,        4.37115478363,   231348.55332920235 },
    {        0.00000000001,        6.21157459837,   199599.31813847594 },
    {        0.00000000001,        5.68807537585,     3178.14579056760 },
    {        0.00000000001,        6.16099382664,   103814.80805420138 },
    {        0.00000000001,        3.58703299790,   106262.81204951399 },
    {        0.00000000001,        2.12644283427,    62197.64356324779 },
    {        0.00000000001,        3.67624268292,     2703.61615467560 },
    {        0.00000000001,        1.94597992024,    45494.58142974879 },
    {        0.00000000001,        5.27747039682,    52041.69723356339 },
    {        0.00000000001,        2.87032894974,    38634.38508065720 },
    {        0.00000000001,        0.23270745450,   138319.60486120995 },
    {        0.00000000001,        5.53197596443,    27819.02549450680 },
    {        0.00000000001,        5.12208743996,   142871.55835826878 },
    {        0.00000000001,        1.39038865276,   112545.88789950538 },
    {        0.00000000001,        4.74583618954,    53265.51507434200 },
    {        0.00000000001,        5.38786120390,    99024.13645791399 },
    {        0.00000000001,        0.39696641642,    42790.96527507320 },
    {        0.00000000001,        0.71118375221,    52026.24308601380 },
    {        0.00000000001,        2.16468187079,     1485.98012106520 },
    {        0.00000000001,        5.72787089962,   153084.84390447979 },
    {        0.00000000001,        4.66269784654,    54374.89362643540 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R2_MERCURY[] =
  {
    {        0.00003117867,        3.08231840294,    26087.90314157420 },
    {        0.00001245397,        6.15183316810,    52175.80628314840 },
    {        0.00000424822,        2.92583350003,    78263.70942472259 },
    {        0.00000136130,        5.97983927257,   104351.61256629678 },
    {        0.00000042176,        2.74936984182,   130439.51570787099 },
    {        0.00000021759,        3.14159265359,        0.00000000000 },
    {        0.00000012794,        5.80143158303,   156527.41884944518 },
    {        0.00000003825,        2.56993470104,   182615.32199101939 },
    {        0.00000001042,        3.14646747795,    24978.52458948080 },
    {        0.00000001131,        5.62140894157,   208703.22513259359 },
    {        0.00000000483,        6.14311665486,    27197.28169366760 },
    {        0.00000000332,        2.38990569407,   234791.12827416777 },
    {        0.00000000320,        6.20678671907,    51066.42773105500 },
    {        0.00000000120,        0.56753278081,    20426.57109242200 },
    {        0.00000000113,        3.28087063421,    24498.83024629040 },
    {        0.00000000105,        4.36644825356,    25028.52121138500 },
    {        0.00000000097,        5.44142060651,   260879.03141574195 },
    {        0.00000000095,        1.70261963549,     1059.38193018920 },
    {        0.00000000103,        2.98025866325,    77154.33087262919 },
    {        0.00000000074,        1.28624418497,    26617.59410666880 },
    {        0.00000000057,        2.96811822826,     1109.37855209340 },
    {        0.00000000066,        5.68227129537,    25132.30339996560 },
    {        0.00000000053,        3.63665664342,    46514.47423399620 },
    {        0.00000000059,        3.10957221200,    27043.50288318280 },
    {        0.00000000053,        0.66664633754,    21535.94964451540 },
    {        0.00000000043,        4.69265718173,    27147.28507176339 },
    {        0.00000000042,        2.77425162061,     1589.07289528380 },
    {        0.00000000036,        4.39785847487,    14765.23904326980 },
    {        0.00000000035,        1.80414409714,    11322.66409830440 },
    {        0.00000000043,        6.07298394731,    28306.66024576099 },
    {        0.00000000033,        5.34403985744,    25448.00585526019 },
    {        0.00000000031,        5.66726050432,    30639.85663863300 },
    {        0.00000000031,        2.36583154631,    32858.61374281979 },
    {        0.00000000031,        4.27240840519,    16983.99614745660 },
    {        0.00000000033,        3.23005237683,    23869.14603738740 },
    {        0.00000000031,        0.49978982972,    22645.32819660879 },
    {        0.00000000028,        2.21272342124,   286966.93455731618 },
    {        0.00000000033,        6.03641747595,   103242.23401420339 },
    {        0.00000000025,        4.24265705908,    52705.49724824299 },
    {        0.00000000023,        2.59657279752,    23969.13928119580 },
    {        0.00000000027,        2.10611676289,    25558.21217647960 },
    {        0.00000000021,        0.41168883239,    72602.37737557039 },
    {        0.00000000025,        5.69956303861,     5661.33204915220 },
    {        0.00000000022,        4.86511394552,    26301.20223701220 },
    {        0.00000000024,        0.66328767410,    19317.19254032860 },
    {        0.00000000021,        2.30174192487,    51220.20654153979 },
    {        0.00000000020,        5.62040366872,     4551.95349705880 },
    {        0.00000000018,        0.49330577083,    26068.23338067440 },
    {        0.00000000016,        6.08123098154,    50586.73338786459 },
    {        0.00000000016,        1.48825706159,    53235.18821333759 },
    {        0.00000000017,        2.94317208111,    53285.18483524180 },
    {        0.00000000015,        2.39611761878,    83925.04147387479 },
    {        0.00000000015,        3.85588323044,    26091.78447693220 },
    {        0.00000000014,        4.13824962282,    12566.15169998280 },
    {        0.00000000015,        5.51224761330,     6770.71060124560 },
    {        0.00000000014,        5.68202466008,    57837.13833230060 },
    {        0.00000000014,        5.73541534358,    27676.97603685800 },
    {        0.00000000016,        5.69568023163,    26107.57290247399 },
    {        0.00000000015,        5.72321197499,    29530.47808653960 },
    {        0.00000000014,        5.00810046723,    37410.56723987860 },
    {        0.00000000012,        1.18950088434,    40853.14218484400 },
    {        0.00000000013,        2.34556111896,    26084.02180621620 },
    {        0.00000000012,        2.43751302567,    56727.75978020720 },
    {        0.00000000012,        1.11729686867,    43071.89928903080 },
    {        0.00000000012,        4.91255816577,    36301.18868778519 },
    {        0.00000000011,        1.87794158603,     9103.90699411760 },
    {        0.00000000010,        2.33246324171,      426.59819087600 },
    {        0.00000000011,        2.79095158447,   129330.13715577759 },
    {        0.00000000010,        5.86523749031,    26202.34243025941 },
    {        0.00000000009,        0.03195500104,    25234.70675982219 },
    {        0.00000000011,        0.92603695080,      639.89728631400 },
    {        0.00000000010,        3.94422779390,    25661.30495069820 },
    {        0.00000000008,        5.42470507867,   110012.94461544899 },
    {        0.00000000008,        6.27857478248,    49957.04917896160 },
    {        0.00000000008,        3.40746854679,    25973.46385288896 },
    {        0.00000000009,        4.83419682076,    38519.94579197200 },
    {        0.00000000008,        5.64863461479,    53131.40602475700 },
    {        0.00000000009,        5.74323028796,    51116.42435295920 },
    {        0.00000000008,        1.97671803181,    13521.75144159140 },
    {        0.00000000008,        3.52143325301,    52156.13652224860 },
    {        0.00000000008,        0.94287580197,    78793.40038981718 },
    {        0.00000000008,        5.25159704872,   313054.83769889036 },
    {        0.00000000007,        3.57055320328,    48733.23133818299 },
    {        0.00000000008,        5.33870577078,    51646.11531805379 },
    {        0.00000000008,        4.34685532674,    31749.23519072640 },
    {        0.00000000010,        5.07112035424,    25874.60404613620 },
    {        0.00000000007,        3.44200114221,    26080.78959457339 },
    {        0.00000000008,        3.46506333076,    98690.28051714458 },
    {        0.00000000007,        5.27632613466,    77308.10968311399 },
    {        0.00000000007,        1.97132570364,    10213.28554621100 },
    {        0.00000000007,        3.47394709299,     2118.76386037840 },
    {        0.00000000007,        1.19332181936,   103292.23063610759 },
    {        0.00000000007,        0.88225421550,    38654.05484155699 },
    {        0.00000000007,        4.28963258668,      955.59974160860 },
    {        0.00000000009,        2.12066223909,    18849.22754997420 },
    {        0.00000000008,        2.74524992169,    26095.01668857500 },
    {        0.00000000007,        4.98611088801,      529.69096509460 },
    {        0.00000000007,        0.21206642896,    33326.57873317420 },
    {        0.00000000006,        1.24554634942,    41962.52073693740 },
    {        0.00000000006,        0.58325989516,    52179.68761850640 },
    {        0.00000000006,        4.54627482504,    79323.09135491178 },
    {        0.00000000006,        1.74421492528,    62389.09182935939 },
    {        0.00000000005,        2.14134003331,    51535.90899683439 },
    {        0.00000000007,        4.18624565491,    77204.32749453338 },
    {        0.00000000006,        4.90636348078,    26514.50133245020 },
    {        0.00000000005,        4.28760477114,    68050.42387851159 },
    {        0.00000000007,        1.68768205340,    12432.04265039780 },
    {        0.00000000006,        1.67734378339,    52389.10537858640 },
    {        0.00000000005,        2.62192976400,    79373.08797681599 },
    {        0.00000000006,        3.72321362480,    45405.09568190280 },
    {        0.00000000005,        2.80648643213,    54394.56338733519 },
    {        0.00000000004,        6.27711808251,    52168.69273614759 },
    {        0.00000000005,        4.49206719344,    13655.86049117640 },
    {        0.00000000006,        2.42054247740,    52195.47604404819 },
    {        0.00000000005,        5.36726437404,    52171.92494779040 },
    {        0.00000000004,        2.39080386734,    53764.87917843220 },
    {        0.00000000004,        5.45239063221,    82815.66292178139 },
    {        0.00000000004,        2.45845698665,    55618.38122811380 },
    {        0.00000000004,        5.46064307091,    50057.04242277000 },
    {        0.00000000004,        4.24543775680,   129380.13377768178 },
    {        0.00000000004,        2.16475111801,   136100.84775702318 },
    {        0.00000000004,        3.27367961735,     7238.67559160000 },
    {        0.00000000004,        4.23033954187,    66941.04532641819 },
    {        0.00000000004,        5.86077781318,   155418.04029735178 },
    {        0.00000000004,        2.91823301912,     2218.75710418680 },
    {        0.00000000004,        2.22132272424,    33967.99229491319 },
    {        0.00000000004,        4.13443053346,    32370.97899156560 },
    {        0.00000000004,        0.97401599373,    44181.27784112419 },
    {        0.00000000005,        5.73865924281,    52182.91983014920 },
    {        0.00000000003,        5.77600031262,    28421.09953444620 },
    {        0.00000000003,        3.60566098017,    99799.65906923798 },
    {        0.00000000003,        4.89516568247,    47623.85278608960 },
    {        0.00000000003,        2.65837542043,    76674.63652943878 },
    {        0.00000000004,        3.97575019999,    26727.80042788820 },
    {        0.00000000004,        1.58883137896,    77734.01845962799 },
    {        0.00000000003,        4.05377923220,    18093.37469954999 },
    {        0.00000000003,        0.32164436845,    78244.03966382280 },
    {        0.00000000003,        4.55918659193,     1066.49547719000 },
    {        0.00000000003,        1.04073203752,    94138.32702008578 },
    {        0.00000000003,        5.11379070475,     1052.26838318840 },
    {        0.00000000004,        0.00289656740,        7.11354700080 },
    {        0.00000000003,        6.00211964373,    29416.03879785439 },
    {        0.00000000003,        0.83769822705,    73711.75592766379 },
    {        0.00000000003,        6.24558724290,      853.19638175200 },
    {        0.00000000003,        1.04516366216,    51123.53789995999 },
    {        0.00000000003,        1.58718103357,    51109.31080595839 },
    {        0.00000000003,        1.95786741975,   103396.01282468818 },
    {        0.00000000002,        1.84359601235,    52602.40447402440 },
    {        0.00000000003,        0.20363902961,   124778.18365871879 },
    {        0.00000000003,        3.92029951121,   104881.30353139139 },
    {        0.00000000002,        3.86834138575,    64741.95798313119 },
    {        0.00000000002,        4.78277672679,    88476.99497093359 },
    {        0.00000000002,        3.02197674612,    76044.95232053580 },
    {        0.00000000002,        2.56056246046,    51962.50718771040 },
    {        0.00000000002,        0.39257053002,    23754.70674870219 },
    {        0.00000000002,        1.93806690975,   117873.36400788819 },
    {        0.00000000003,        4.94947672066,    44937.13069154840 },
    {        0.00000000002,        5.16794137847,    91785.46086631398 },
    {        0.00000000002,        3.69784569438,    78267.59076008058 },
    {        0.00000000002,        0.12898246901,    28206.66700195260 },
    {        0.00000000002,        2.71494330191,    52290.24557183361 },
    {        0.00000000002,        1.01643765523,   155468.03691925600 },
    {        0.00000000002,        1.94864163639,     7994.52844202420 },
    {        0.00000000002,        0.34644075002,   125887.56221081219 },
    {        0.00000000002,        2.07439531255,   339142.74084046460 },
    {        0.00000000002,        0.47977325476,    74821.13447975718 },
    {        0.00000000002,        2.16320557771,    65697.55772473979 },
    {        0.00000000002,        5.55432178842,    78283.37918562238 },
    {        0.00000000002,        1.29900775156,   105410.99449648599 },
    {        0.00000000002,        2.53975890096,    78270.82297172339 },
    {        0.00000000002,        3.05127595992,    78256.59587772179 },
    {        0.00000000002,        0.74524218739,    18207.81398823521 },
    {        0.00000000002,        2.52077863728,    45892.73043315699 },
    {        0.00000000002,        4.40145815211,   103821.92160120218 },
    {        0.00000000002,        0.48596602676,    71492.99882347698 },
    {        0.00000000002,        5.20647406504,   162188.75089859738 },
    {        0.00000000002,        4.82705668292,    35191.81013569180 },
    {        0.00000000002,        2.53400006045,   181505.94343892598 },
    {        0.00000000002,        5.01222373888,     3442.57494496540 },
    {        0.00000000002,        4.77472325123,    78477.00852016058 },
    {        0.00000000002,        4.04794032959,   120226.23016165999 },
    {        0.00000000002,        4.91210946644,   129483.91596626239 },
    {        0.00000000002,        4.13616693949,    77211.44104153418 },
    {        0.00000000002,        5.55063812006,    71980.63357473118 },
    {        0.00000000002,        1.87550379173,    23439.44831610119 },
    {        0.00000000002,        4.79089230864,    15874.61759536320 },
    {        0.00000000002,        4.07209162893,    77837.11123384659 },
    {        0.00000000002,        3.28278777867,    51322.60990139639 },
    {        0.00000000001,        3.34910054328,   151975.46535238638 },
    {        0.00000000001,        2.46216864998,    98068.53671630539 },
    {        0.00000000002,        2.55245277940,    39609.65458316560 },
    {        0.00000000002,        2.20615341805,    78259.82808936459 },
    {        0.00000000001,        1.85625086925,    27140.17152476259 },
    {        0.00000000001,        4.90356608602,    78690.30761559859 },
    {        0.00000000002,        2.05592477737,      433.71173787680 },
    {        0.00000000001,        0.57135579166,    58458.88213313979 },
    {        0.00000000001,        6.02187954635,   102132.85546210999 },
    {        0.00000000002,        3.23303486183,   150866.08680029298 },
    {        0.00000000001,        4.60285163809,    77197.21394753258 },
    {        0.00000000001,        3.29652393557,   104331.94280539699 },
    {        0.00000000002,        0.37358476984,    52061.36699446317 },
    {        0.00000000002,        6.05813345839,    78050.41032928458 },
    {        0.00000000001,        5.03719934254,   105460.99111839019 },
    {        0.00000000001,        5.61325235757,    81706.28436968799 },
    {        0.00000000001,        4.16559096091,    51742.09454527159 },
    {        0.00000000001,        2.18291711529,   104371.28232719658 },
    {        0.00000000001,        1.56268200733,   114564.89811250778 },
    {        0.00000000001,        2.97801937910,    26941.09952332620 },
    {        0.00000000002,        0.60670302239,   130969.20667296558 },
    {        0.00000000001,        1.28661284202,    27154.39861876420 },
    {        0.00000000001,        0.32656599185,     6283.07584999140 },
    {        0.00000000002,        0.98900298585,   129909.82474277639 },
    {        0.00000000002,        0.34266376084,   104355.49390165479 },
    {        0.00000000001,        1.70449480453,    71025.03383312259 },
    {        0.00000000001,        0.69109808707,   103925.01437542078 },
    {        0.00000000001,        5.99111938887,   104344.49901929598 },
    {        0.00000000001,        1.29444105614,    26241.68195205900 },
    {        0.00000000001,        1.52348055432,   104564.91166173479 },
    {        0.00000000001,        1.02840142284,    93028.94846799239 },
    {        0.00000000001,        2.70610275891,    59414.48187474840 },
    {        0.00000000001,        3.38720596578,    24864.08530079559 },
    {        0.00000000001,        4.01905758539,   181555.94006083018 },
    {        0.00000000001,        0.19437065391,   131548.89425996438 },
    {        0.00000000001,        2.33926236379,   108903.56606335558 },
    {        0.00000000001,        3.48554697151,    97580.90196505119 },
    {        0.00000000001,        2.21845432691,   107794.18751126219 },
    {        0.00000000001,        5.21032711478,   134991.46920492980 },
    {        0.00000000001,        3.36974859678,    22759.76748529401 },
    {        0.00000000001,        3.69704620260,    51749.20809227239 },
    {        0.00000000001,        5.50712708044,   104358.72611329758 },
    {        0.00000000001,        3.54339432961,    84546.78527471398 },
    {        0.00000000001,        1.85236380912,    76144.94556434419 },
    {        0.00000000001,        1.35457977308,   103285.11708910679 },
    {        0.00000000001,        5.41788745559,    79852.78232000639 },
    {        0.00000000001,        2.71021284118,      419.48464387520 },
    {        0.00000000001,        5.20690925178,    58946.51688439399 },
    {        0.00000000001,        2.58243930041,    79219.30916633119 },
    {        0.00000000001,        4.14551403325,     2648.45482547300 },
    {        0.00000000001,        0.80546617242,    52815.70356946240 },
    {        0.00000000001,        4.35263828880,   131498.89763806018 },
    {        0.00000000001,        2.96821079393,    63498.47038145279 },
    {        0.00000000001,        1.67750729252,    64607.84893354619 },
    {        0.00000000001,        1.27183275592,    39743.76363275060 },
    {        0.00000000001,        4.96647288061,   365230.64398203877 },
    {        0.00000000001,        0.99406518960,    50579.61984086379 },
    {        0.00000000001,        5.18049622713,     1596.18644228460 },
    {        0.00000000001,        3.02654575849,    54294.57014352679 },
    {        0.00000000001,        5.63350272797,    78378.14871340781 },
    {        0.00000000001,        4.40490970421,    25021.40766438420 },
    {        0.00000000001,        3.63610465805,    51756.32163927320 },
    {        0.00000000001,        4.26629771518,    26724.89941359840 },
    {        0.00000000001,        2.79177248963,   157636.79740153858 },
    {        0.00000000001,        4.56988133520,    19804.82729158280 },
    {        0.00000000001,        2.63303478623,     5327.47610838280 },
    {        0.00000000001,        5.14973525909,   104347.73123093879 },
    {        0.00000000001,        3.74530927136,    44295.71712980940 },
    {        0.00000000001,        0.68414890944,    90829.86112470538 },
    {        0.00000000001,        0.49165582856,    69159.80243060499 },
    {        0.00000000001,        1.49658721659,    61279.71327726600 },
    {        0.00000000001,        5.27847149725,    25934.12433108940 },
    {        0.00000000001,        5.17229158556,      149.56319713460 },
    {        0.00000000001,        3.18169864614,    78149.27013603736 },
    {        0.00000000001,        0.76788482924,   146314.13330323418 },
    {        0.00000000001,        5.29528480250,    26137.89976347840 },
    {        0.00000000001,        3.51389080283,    49842.60989027639 },
    {        0.00000000001,        0.80519817567,   103299.34418310839 },
    {        0.00000000001,        1.91164708185,   105940.68546158058 },
    {        0.00000000001,        0.84584454465,    77829.99768684579 },
    {        0.00000000001,        4.68188188415,    90695.75207512039 },
    {        0.00000000001,        0.65295847908,    26037.90651966999 },
    {        0.00000000001,        0.23063503545,   105307.21230790539 },
    {        0.00000000001,        3.82320581190,    25619.93815121980 },
    {        0.00000000001,        4.40595033152,    70269.18098269838 },
    {        0.00000000001,        5.83543698290,    27311.72098235281 },
    {        0.00000000001,        4.93010556318,   143961.26714946239 },
    {        0.00000000001,        0.69055367085,    10021.83728009940 },
    {        0.00000000001,        4.04373064295,    25565.32572348040 },
    {        0.00000000001,        2.76360990402,    55503.94193942859 },
    {        0.00000000001,        5.27048505986,    52643.77127350280 },
    {        0.00000000001,        5.30671272193,    77623.81213840858 },
    {        0.00000000001,        3.59001485540,   130012.91751699499 },
    {        0.00000000001,        6.20174437935,     3328.13565628019 },
    {        0.00000000001,        4.37843587271,    52329.58509363319 },
    {        0.00000000001,        5.35804254604,     7880.08915333899 },
    {        0.00000000001,        0.37001213364,    29428.51556827400 },
    {        0.00000000001,        2.09823688356,    26610.48055966799 },
    {        0.00000000001,        1.90742269266,   188276.65404017159 },
    {        0.00000000001,        2.07583539066,    26555.86813192860 },
    {        0.00000000001,        2.74928843672,    54509.00267602040 },
    {        0.00000000001,        4.78361926570,    25450.90686955000 },
    {        0.00000000001,        4.66282101332,     1581.95934828300 },
    {        0.00000000001,        1.93180863256,    85034.42002596818 },
    {        0.00000000001,        1.39574142846,    50593.84693486539 },
    {        0.00000000001,        4.28383546403,    53242.30176033840 },
    {        0.00000000001,        0.36440946351,    89586.37352302698 },
    {        0.00000000001,        3.84510723447,   119116.85160956658 },
    {        0.00000000001,        0.98328228963,      536.80451209540 },
    {        0.00000000001,        6.21114511135,    25668.41849769900 },
    {        0.00000000001,        3.66409514672,    26624.70765366959 },
    {        0.00000000001,        4.38823198457,    12546.48193908300 },
    {        0.00000000000,        3.66005454502,    95247.70557217918 },
    {        0.00000000001,        3.25481552100,    46848.33017476560 },
    {        0.00000000000,        6.18816289886,      213.29909543800 },
    {        0.00000000000,        5.42382537447,   124156.43985787958 },
    {        0.00000000000,        3.08747000862,   104138.31347085879 },
    {        0.00000000000,        4.37059865637,    80482.46652890938 },
    {        0.00000000000,        4.90249116112,    26521.61487945100 },
    {        0.00000000000,        4.11303810429,    65831.66677432480 },
    {        0.00000000000,        3.42919047371,   116917.76426627958 },
    {        0.00000000001,        4.86353089367,    51639.00177105299 },
    {        0.00000000000,        0.20560781967,    77844.22478084739 },
    {        0.00000000000,        6.23379339496,    48847.67062686820 },
    {        0.00000000000,        4.71445024355,       76.26607127560 },
    {        0.00000000001,        2.25536112069,    25551.09862947879 },
    {        0.00000000000,        6.00692447908,    26507.38778544939 },
    {        0.00000000000,        0.02652054523,     6681.22485339960 },
    {        0.00000000000,        1.97940011643,    86143.79857806159 },
    {        0.00000000000,        4.41963004243,      114.43928868521 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R3_MERCURY[] =
  {
    {        0.00000032676,        1.67971641967,    26087.90314157420 },
    {        0.00000024166,        4.63403168878,    52175.80628314840 },
    {        0.00000012133,        1.38983777816,    78263.70942472259 },
    {        0.00000005141,        4.43915486864,   104351.61256629678 },
    {        0.00000001981,        1.20734065292,   130439.51570787099 },
    {        0.00000001460,        3.14159265359,        0.00000000000 },
    {        0.00000000719,        4.25914225052,   156527.41884944518 },
    {        0.00000000250,        1.02794489584,   182615.32199101939 },
    {        0.00000000084,        4.08003393556,   208703.22513259359 },
    {        0.00000000028,        0.84976129869,   234791.12827416777 },
    {        0.00000000023,        1.60056693427,    24978.52458948080 },
    {        0.00000000011,        4.57906901820,    27197.28169366760 },
    {        0.00000000012,        4.66186402631,    51066.42773105500 },
    {        0.00000000009,        3.90351105399,   260879.03141574195 },
    {        0.00000000005,        1.44899194699,    77154.33087262919 },
    {        0.00000000004,        1.37039350951,    53285.18483524180 },
    {        0.00000000003,        0.65216170836,   286966.93455731618 },
    {        0.00000000002,        5.31647339795,    20426.57109242200 },
    {        0.00000000002,        1.54948310012,     1109.37855209340 },
    {        0.00000000002,        4.46650154841,   103242.23401420339 },
    {        0.00000000002,        0.20311171970,     1059.38193018920 },
    {        0.00000000001,        4.18509315538,    25132.30339996560 },
    {        0.00000000001,        2.08677361801,    46514.47423399620 },
    {        0.00000000001,        3.22427097914,    27147.28507176339 },
    {        0.00000000001,        1.31990592569,     1589.07289528380 },
    {        0.00000000001,        6.11476749247,    26617.59410666880 },
    {        0.00000000001,        3.87574939924,     4551.95349705880 },
    {        0.00000000001,        5.13451991746,    72602.37737557039 },
    {        0.00000000001,        2.82416621766,    14765.23904326980 },
    {        0.00000000001,        3.69788379486,   313054.83769889036 },
    {        0.00000000001,        1.23397179166,   129330.13715577759 },
    {        0.00000000001,        1.47670395865,    27043.50288318280 },
    {        0.00000000001,        2.82993373800,    52705.49724824299 },
    {        0.00000000001,        1.69896765630,    23869.14603738740 },
    {        0.00000000001,        0.32413035355,     9103.90699411760 },
    {        0.00000000001,        4.20161569510,    27676.97603685800 },
    {        0.00000000001,        4.34344280909,    79373.08797681599 },
    {        0.00000000001,        0.89956318302,    51220.20654153979 },
    {        0.00000000001,        2.20322858011,    21535.94964451540 },
    {        0.00000000001,        3.19342492912,    26301.20223701220 },
    {        0.00000000001,        1.88258101468,    98690.28051714458 },
    {        0.00000000001,        4.68591095165,    50586.73338786459 },
    {        0.00000000001,        5.85065851846,    40853.14218484400 },
    {        0.00000000001,        1.23101504358,    54394.56338733519 },
    {        0.00000000001,        6.23351653071,    53235.18821333759 },
    {        0.00000000001,        3.87422845306,    77308.10968311399 },
    {        0.00000000001,        0.79126413034,    32858.61374281979 },
    {        0.00000000001,        4.14416492315,    29530.47808653960 },
    {        0.00000000001,        3.66291049805,    82815.66292178139 },
    {        0.00000000001,        4.44414264582,    53131.40602475700 },
    {        0.00000000001,        5.39898005107,    19317.19254032860 },
    {        0.00000000001,        5.74090182848,    78793.40038981718 },
    {        0.00000000001,        2.04445272211,    22645.32819660879 },
    {        0.00000000000,        5.20058182117,    26068.23338067440 },
    {        0.00000000000,        2.88882171293,    79323.09135491178 },
    {        0.00000000000,        0.77734457598,    83925.04147387479 },
    {        0.00000000000,        1.85241611022,    25973.46385288896 },
    {        0.00000000000,        4.31134434847,    26202.34243025941 },
    {        0.00000000000,        2.48865412354,    25028.52121138500 },
    {        0.00000000000,        4.73702212377,    49957.04917896160 },
    {        0.00000000001,        4.52312859491,    28306.66024576099 },
    {        0.00000000000,        6.22434083886,    25558.21217647960 },
    {        0.00000000000,        4.43739303442,    57837.13833230060 },
    {        0.00000000000,        4.22145138443,   155418.04029735178 },
    {        0.00000000001,        4.15987542477,     3442.57494496540 },
    {        0.00000000000,        3.37837484563,    37410.56723987860 },
    {        0.00000000000,        4.06445772133,    30639.85663863300 },
    {        0.00000000000,        1.88469600324,    52156.13652224860 },
    {        0.00000000000,        5.55588074115,      639.89728631400 },
    {        0.00000000000,        4.12649087613,    26107.57290247399 },
    {        0.00000000001,        2.12434762874,    45405.09568190280 },
    {        0.00000000000,        3.52050357800,    51646.11531805379 },
    {        0.00000000000,        0.95617902890,    56727.75978020720 },
    {        0.00000000000,        2.68844434121,    25874.60404613620 },
    {        0.00000000000,        0.77169310211,    26084.02180621620 },
    {        0.00000000000,        1.28280882604,    31749.23519072640 },
    {        0.00000000000,        3.77504856922,   110012.94461544899 },
    {        0.00000000000,        5.51895778760,    51116.42435295920 },
    {        0.00000000000,        2.46996848792,    12566.15169998280 },
    {        0.00000000000,        2.06080302810,    26091.78447693220 },
    {        0.00000000000,        4.06656248201,     6770.71060124560 },
    {        0.00000000000,        5.64089373958,    43071.89928903080 },
    {        0.00000000000,        3.01044907413,      529.69096509460 },
    {        0.00000000000,        3.74932541209,    58946.51688439399 },
    {        0.00000000000,        1.59982844601,    24498.83024629040 },
    {        0.00000000000,        6.18077135384,    52389.10537858640 },
    {        0.00000000000,        3.54760851916,     5661.33204915220 },
    {        0.00000000000,        0.36958867063,   339142.74084046460 },
    {        0.00000000000,        1.28365548551,   105460.99111839019 },
    {        0.00000000000,        2.54309051397,    66941.04532641819 },
    {        0.00000000000,        1.20651308836,    76674.63652943878 },
    {        0.00000000000,        0.56648671737,      426.59819087600 },
    {        0.00000000000,        5.16253006866,      955.59974160860 },
    {        0.00000000000,        0.44574885677,    51535.90899683439 },
    {        0.00000000000,        3.22440388798,    36301.18868778519 },
    {        0.00000000000,        5.18616332697,    52179.68761850640 },
    {        0.00000000000,        1.77057901742,     2118.76386037840 },
    {        0.00000000000,        0.83059819658,    53764.87917843220 },
    {        0.00000000000,        4.82874431323,    78244.03966382280 },
    {        0.00000000000,        5.46044714578,    38654.05484155699 },
    {        0.00000000000,        1.35238108580,    76044.95232053580 },
    {        0.00000000000,        0.78426047136,    52195.47604404819 },
    {        0.00000000000,        1.56504928662,     2218.75710418680 },
    {        0.00000000000,        0.44110358867,   136100.84775702318 },
    {        0.00000000000,        3.95443065599,    50057.04242277000 },
    {        0.00000000000,        0.69662881483,    55618.38122811380 },
    {        0.00000000000,        0.00690662625,      213.29909543800 },
    {        0.00000000000,        3.72355104277,    52171.92494779040 },
    {        0.00000000000,        5.77253301832,   105410.99449648599 },
    {        0.00000000000,        0.68653770637,    79219.30916633119 },
    {        0.00000000000,        2.14142206148,    64741.95798313119 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R4_MERCURY[] =
  {
    {        0.00000000394,        0.36736738836,    26087.90314157420 },
    {        0.00000000387,        3.18568894140,    52175.80628314840 },
    {        0.00000000270,        6.16979809593,    78263.70942472259 },
    {        0.00000000149,        2.91591472142,   104351.61256629678 },
    {        0.00000000071,        5.95888916295,   130439.51570787099 },
    {        0.00000000031,        2.72386331553,   156527.41884944518 },
    {        0.00000000017,        0.00000000000,        0.00000000000 },
    {        0.00000000012,        5.77758679438,   182615.32199101939 },
    {        0.00000000005,        2.54442235521,   208703.22513259359 },
    {        0.00000000002,        5.59215484513,   234791.12827416777 },
    {        0.00000000001,        2.31734413223,   260879.03141574195 },
    {        0.00000000000,        5.37041038965,   286966.93455731618 },
    {        0.00000000000,        3.05050417438,    51066.42773105500 },
    {        0.00000000000,        0.07052854591,    24978.52458948080 },
    {        0.00000000000,        5.93192891756,    53285.18483524180 },
    {        0.00000000000,        6.03840913462,    77154.33087262919 },
    {        0.00000000000,        3.02089425425,    27197.28169366760 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R5_MERCURY[] =
  {
    {        0.00000000006,        3.98812118954,    26087.90314157420 },
    {        0.00000000006,        1.55172409309,    52175.80628314840 },
    {        0.00000000005,        4.65488347662,    78263.70942472259 },
    {        0.00000000004,        1.40628214181,   104351.61256629678 },
    {        0.00000000002,        4.44423794944,   130439.51570787099 },
    {        0.00000000001,        3.14159265359,        0.00000000000 },
    {        0.00000000001,        1.21235041448,   156527.41884944518 },
    {        0.00000000001,        4.24238056507,   182615.32199101939 },
    {        0.00000000000,        0.95140152937,   208703.22513259359 },
    {        0.00000000000,        4.00511196914,   234791.12827416777 }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_L_MERCURY[] =
  {
    { g_VSOP87B_L0_MERCURY, sizeof(g_VSOP87B_L0_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L1_MERCURY, sizeof(g_VSOP87B_L1_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L2_MERCURY, sizeof(g_VSOP87B_L2_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L3_MERCURY, sizeof(g_VSOP87B_L3_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L4_MERCURY, sizeof(g_VSOP87B_L4_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L5_MERCURY, sizeof(g_VSOP87B_L5_MERCURY)/sizeof(VSOP87Coefficient) }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_B_MERCURY[] =
  {
    { g_VSOP87B_B0_MERCURY, sizeof(g_VSOP87B_B0_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B1_MERCURY, sizeof(g_VSOP87B_B1_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B2_MERCURY, sizeof(g_VSOP87B_B2_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B3_MERCURY, sizeof(g_VSOP87B_B3_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B4_MERCURY, sizeof(g_VSOP87B_B4_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B5_MERCURY, sizeof(g_VSOP87B_B5_MERCURY)/sizeof(VSOP87Coefficient) }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_R_MERCURY[] =
  {
    { g_VSOP87B_R0_MERCURY, sizeof(g_VSOP87B_R0_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R1_MERCURY, sizeof(g_VSOP87B_R1_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R2_MERCURY, sizeof(g_VSOP87B_R2_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R3_MERCURY, sizeof(g_VSOP87B_R3_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R4_MERCURY, sizeof(g_VSOP87B_R4_MERCURY)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R5_MERCURY, sizeof(g_VSOP87B_R5_MERCURY)/sizeof(VSOP87Coefficient) }
  };
  
  
  ////////////////////////////// Implementation /////////////////////////////////
  
  double CAAVSOP87B_Mercury::L(double JD)
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_L_MERCURY, sizeof(g_VSOP87B_L_MERCURY)/sizeof(VSOP87Coefficient2), true);
  }
  
  double CAAVSOP87B_Mercury::L_DASH(double JD)
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_MERCURY, sizeof(g_VSOP87B_L_MERCURY)/sizeof(VSOP87Coefficient2));
  }
  
  double CAAVSOP87B_Mercury::B(double JD)
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_B_MERCURY, sizeof(g_VSOP87B_B_MERCURY)/sizeof(VSOP87Coefficient2), true);
  }
  
  double CAAVSOP87B_Mercury::B_DASH(double JD)
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_MERCURY, sizeof(g_VSOP87B_B_MERCURY)/sizeof(VSOP87Coefficient2));
  }
  
  double CAAVSOP87B_Mercury::R(double JD)
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_R_MERCURY, sizeof(g_VSOP87B_R_MERCURY)/sizeof(VSOP87Coefficient2), false);
  }
  
  double CAAVSOP87B_Mercury::R_DASH(double JD)
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_MERCURY, sizeof(g_VSOP87B_R_MERCURY)/sizeof(VSOP87Coefficient2));
  }
  
  