/*This file is part of the FEBio source code and is licensed under the MIT license
listed below.

See Copyright-FEBio.txt for details.

Copyright (c) 2020 University of Utah, The Trustees of Columbia University in 
the City of New York, and others.

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.*/



#pragma once

const int NST20 = 20;
const double AREA20[NST20] = {
    0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718,0.628318530718
};
const double PHI20[NST20] = {
    2.48923451381,2.48923451381,2.48923451381,2.48923451381,2.48923451381,0.652358139784,0.652358139784,0.652358139784,0.652358139784,0.652358139784,1.38208579601,1.75950685758,1.75950685758,1.75950685758,1.38208579601,1.38208579601,1.75950685758,1.75950685758,1.38208579601,1.38208579601
};
const double THETA20[NST20] = {
    2.51327412287,-1.25663706144,0,3.76991118431,1.25663706144,0.628318530718,4.39822971503,3.14159265359,-0.628318530718,1.88495559215,3.14159265359,2.51327412287,3.76991118431,0,0.628318530718,-0.628318530718,-1.25663706144,1.25663706144,4.39822971503,1.88495559215
};

const int NST34 = 34;
const double AREA34[NST34] = {
    0.383935577992,0.363384852082,0.404286699707,0.399662586846,0.354335283849,0.352347120947,0.393903444368,0.379809289616,0.348615415676,0.362162027018,0.352706956245,0.334201951381,0.38550990319,0.353366062299,0.353210862208,0.390916630874,0.350536536666,0.334426717588,0.401460216421,0.403845317927,0.339702141107,0.395964760734,0.354184187245,0.35253909316,0.379408560901,0.394927777324,0.35332404861,0.391201373908,0.379167729391,0.339928651639,0.397540807177,0.35214902586,0.352731483864,0.380977520538
    
};
const double PHI34[NST34] = {
    0.992311860958,0.540938308295,0.740973555387,1.21706836975,1.4250943943,1.48988159961,2.21160798775,1.64632156581,1.61309409716,0.272718163585,1.12766830359,0.692114402353,0.331284915403,0.825383424239,1.24305999687,1.18761290633,1.81917628368,1.21867315735,1.21642807486,0.887592308181,2.54850378579,2.24712659371,1.71737990968,1.6503477742,2.04868066283,2.75219649767,1.90134757641,1.78830605485,2.14096763772,2.56416958122,2.86656487935,2.31787616339,2.01399005833,2.09881196833
    
};
const double THETA34[NST34] = {
    2.84381372042,2.45969310542,1.44397272665,1.45316745591,2.50154805757,1.95763275851,0.161250110851,0.427494793002,0.976186514632,3.82722948119,-1.34124680328,0.591757041849,-0.374424949851,-0.786805077371,-0.366748217522,0.210267741996,4.21323110868,3.42427462827,4.33893673216,3.93695829964,-1.24684183905,-0.465522391576,-0.637552827163,-1.18265444754,-1.5544160045,3.8807156385,2.7749120359,3.32757398959,3.7256260405,0.797024363447,2.2253590719,2.35938161601,1.80394081727,1.20832067743
    
};


const int NST60 = 60;
const double AREA60[NST60] = {
    0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239,0.209439510239
    
};
const double PHI60[NST60] = {
    2.77901624839,2.77901624839,2.77901624839,2.77901624839,2.77901624839,0.362576405201,0.362576405201,0.362576405201,0.362576405201,0.362576405201,2.397020341,2.11317043701,1.73299308984,2.11317043701,1.73299308984,0.744572312593,1.02842221657,1.40859956375,1.02842221657,1.40859956375,2.397020341,2.11317043701,1.73299308984,1.73299308984,2.11317043701,2.397020341,2.11317043701,2.11317043701,1.73299308984,1.73299308984,0.744572312593,1.02842221657,1.40859956375,1.40859956375,1.02842221657,0.744572312593,1.02842221657,1.02842221657,1.40859956375,1.40859956375,2.11317043701,2.397020341,2.11317043701,1.73299308984,1.73299308984,2.11317043701,2.397020341,1.73299308984,2.11317043701,1.73299308984,1.02842221657,0.744572312593,1.02842221657,1.40859956375,1.40859956375,1.02842221657,0.744572312593,1.40859956375,1.40859956375,1.02842221657
    
};
const double THETA60[NST60] = {
    1.88495559215,4.39822971503,-0.628318530718,3.14159265359,0.628318530718,1.25663706144,-1.25663706144,3.76991118431,0,2.51327412287,3.14159265359,3.54640644495,2.9287380957,2.73677886223,3.35444721148,0,-0.404813791358,0.21285455789,0.404813791358,-0.21285455789,-0.628318530718,-0.22350473936,-0.415463972828,-0.841173088608,-1.03313232208,0.628318530718,1.03313232208,0.22350473936,0.415463972828,0.841173088608,3.76991118431,3.36509739295,3.55705662642,3.9827657422,4.17472497567,2.51327412287,2.10846033151,2.91808791423,2.72612868076,2.30041956498,-1.4801418008,4.39822971503,3.99341592367,4.61108427292,4.18537515714,2.28976938351,1.88495559215,2.09781015004,1.4801418008,1.67210103426,4.62173445439,-1.25663706144,-0.851823270078,-1.04378250355,-1.46949161933,0.851823270078,1.25663706144,1.04378250355,1.46949161933,1.66145085279
    
};

const int NST74 = 74;
const double AREA74[NST74] = {
    0.172194497108,0.172616214738,0.156384928339,0.158507077935,0.181989031701,0.164489052852,0.170463214221,0.16791900153,0.174140795926,0.167638690642,0.163799740359,0.167974639108,0.174154539066,0.171879495364,0.166744662057,0.169537017558,0.185616681294,0.168799231951,0.168829055331,0.158481556172,0.17671435797,0.172868926325,0.18167436801,0.185611507665,0.15636355032,0.172247969404,0.18070564458,0.167150673674,0.181726232028,0.165314830546,0.169961200128,0.172654595308,0.171222346552,0.171246768459,0.167601272159,0.169450198726,0.167629614669,0.169508601315,0.165328142768,0.169914886884,0.164214499781,0.167677242098,0.17192283869,0.190385295886,0.16381928312,0.167103261273,0.180784609354,0.190430641824,0.164227106766,0.168116666569,0.180247005644,0.181982148896,0.172609862041,0.176818987391,0.158837157007,0.158858544541,0.168442689446,0.168486647778,0.160628620296,0.168636058657,0.159225581499,0.160273422768,0.168645193049,0.16061638219,0.168661465192,0.160240964724,0.159275111334,0.168607230802,0.166728581783,0.169458074264,0.168183535321,0.180160965744,0.170522960063,0.164487167827
    
    
};
const double PHI74[NST74] = {
    1.37637747565,1.77848403736,1.40219574588,1.67945305427,1.92268587646,2.31568591025,2.34029288949,1.74919536568,2.0904221287,2.65976168911,2.07826715601,2.07982156114,2.31224176828,2.79200030874,2.9309419527,2.58144952406,1.1534990749,1.13996555245,1.30505558926,1.40234552605,1.73756509933,2.00215145978,0.19103172404,0.7696420396,0.731695622618,0.498670411242,1.59204101919,1.71932119701,1.11126669369,1.22012811405,0.987522913199,0.592108360768,1.55921318852,1.69204624116,1.47866187997,1.13117589437,1.16637514167,0.932676730736,0.469112235723,0.572650532114,1.92280468579,2.18769815342,2.51317688672,1.56555227458,1.48104448229,1.13721016656,0.824791654243,2.36395408104,2.73274234576,2.89973890344,2.54482479876,1.37368120261,1.07179674998,0.466803260621,0.786073451869,0.194230542378,0.801816920121,0.552063943806,1.31992333966,1.39377623123,1.09644735409,0.791733455504,0.941592618213,2.21540832028,1.8284785983,1.70848167882,1.96385985674,2.30044204202,2.31792447645,2.31575385231,1.98922622439,1.69986240845,1.98690641289,1.69868183315
    
    
};
const double THETA74[NST74] = {
    4.23372155256,3.77350281851,3.84608000918,3.18484837654,3.45809438838,3.39077080754,2.91506076853,0.250156160968,0.316825916633,-0.143154113368,-0.84076048198,-0.426340636629,-0.106690018794,0.818610130238,2.33492710176,2.48483746082,3.5931710259,2.89909309915,3.22927360111,2.61469093203,2.80180069559,2.654831488,1.308041588,2.831818526,2.32376205684,1.78656726746,-1.30884279106,-0.960196437309,4.45822975191,-1.41123318914,-1.12411539369,-1.08459745398,-0.0945343132877,-0.363600184289,-0.696117769684,-0.744259801597,-0.0547273435112,-0.357678326852,0.321737854417,-0.353212976842,0.992995023213,0.714451163504,1.03342605354,0.861716307267,0.493572491076,0.334686032515,0.575808887909,-1.15430788691,-0.98649181298,4.15257530946,3.87038000761,2.24934454968,2.09486017238,4.63887041185,4.26918611221,3.70514048067,3.73735278376,3.33042501982,1.08705818641,1.47334175658,1.68393403727,1.42390002369,0.995745287995,-1.55050565608,-1.56134266036,4.37856330849,4.10130884779,4.24511018959,1.55945328606,2.04234454148,1.3922866091,1.63240927868,2.21673002442,2.01964818044
    
};




const int NST196 = 196;
const double AREA196[NST196] = {
    0.0638972311061,0.0668894692436,0.0649858303874,0.0616304009286,0.0652668671976,0.065266527635,0.0663350077825,0.0619973712494,0.0659695136296,0.0677211405895,0.0640119463478,0.0658673121802,0.0638707648582,0.0613608629933,0.0624495545788,0.060868522918,0.0674482226427,0.0671445089851,0.064837595448,0.062626039322,0.0617571980229,0.0626253474998,0.0657849326183,0.0650523303174,0.0644063159435,0.0632107557901,0.0661364206817,0.0670360363369,0.0641293778863,0.0611082806036,0.0663154376387,0.0631159265005,0.0644200031677,0.0639622415538,0.0624689285189,0.0670199827974,0.0618141056617,0.0661940957789,0.0626199310979,0.0661333082831,0.0630759889626,0.0646358006381,0.0632064948448,0.0657527651672,0.0650919188211,0.0614645705149,0.068038372082,0.0621728888174,0.0621604388567,0.0624503500411,0.0615810462997,0.0623772508079,0.0628872780195,0.0643338947915,0.0629750384363,0.0673882292199,0.0633495486256,0.0659467764361,0.0645347447336,0.0639615118178,0.0634791780095,0.0646338089292,0.0632190912109,0.0650657772645,0.0610130299864,0.0649286976652,0.0645341052298,0.0615521843399,0.0631564345319,0.0635087658748,0.0641850864396,0.0648102851225,0.0639681320617,0.0640018140136,0.0669712301109,0.0640833922652,0.0639546643343,0.065864856972,0.0629714016573,0.0647429367746,0.0649855121913,0.0656913043705,0.0610866775775,0.0627823095172,0.0650003056205,0.0638208777769,0.0613889570916,0.0638986821682,0.0648972457364,0.0657808734732,0.0647655104122,0.0642512111769,0.0624994214407,0.0675120161824,0.0654779359653,0.0651195316694,0.0613319113968,0.0681258859813,0.0635523806897,0.0634059245265,0.0635785126812,0.0635843220386,0.0672131922246,0.0674297560572,0.0633540087023,0.0633556232024,0.0622259647217,0.0621016756343,0.0625175919109,0.0615427568012,0.0625274688479,0.0663983992939,0.0617283672137,0.0649753513125,0.0644470747974,0.0668101556072,0.0612965420155,0.0671188646658,0.066844693631,0.0639306465074,0.0635281786511,0.0620441236157,0.0620105509386,0.0620206299095,0.0620323741906,0.0619472652273,0.0613419067267,0.0645874503395,0.0625951627553,0.0682956166143,0.0618125564724,0.0660826280633,0.0635518632664,0.0625994172267,0.0636431475865,0.0656899318151,0.0614506375482,0.069319385953,0.0626899203954,0.0639075010672,0.0610870417725,0.0659135629029,0.0648390635504,0.0645356233343,0.0615356150467,0.0651728841148,0.0647208956059,0.0614134063328,0.0632181648813,0.0671536214318,0.0664316351668,0.0634431678513,0.0635170076154,0.064137433268,0.0619366174429,0.0662827425601,0.0632340633187,0.0666931621427,0.0634852057939,0.0655424402549,0.0627586118204,0.0637870642746,0.0659670181209,0.0649179542241,0.0643158934673,0.0664030078897,0.0615439641304,0.0646235217071,0.0619671421584,0.0648177739233,0.0624309475518,0.0683794315543,0.0649214754714,0.0610500616617,0.0616095715887,0.0648169853985,0.0651418225484,0.0655188258374,0.0620442301568,0.0630219105744,0.0663489073152,0.0647882352238,0.0621295964819,0.066430603159,0.0626539499938,0.0640667376352,0.0637282714912,0.0654284504408,0.0610327460579,0.0665293001472,0.064299664322,0.0627676549845,0.0670393417749,0.0614484705382,0.0640106207734,0.0660463769293
    
};

const double PHI196[NST196] = {
    1.80836671617,1.29832776991,0.94228751199,0.732905150597,2.19377370325,2.31639125438,0.966431658401,0.818889029927,1.37953490986,1.22925672388,1.05037045195,1.25926285733,1.18709403222,0.88111579647,1.10552091779,1.14838705952,1.31124258856,1.64990671373,1.36519575348,1.94572963976,1.57512415122,1.72009677992,2.12963710354,2.04756241373,2.04486196597,2.17108671434,2.11519971854,2.40247205336,0.602805457992,0.370214502354,0.265896414357,0.459050383423,2.3993218573,2.15960844178,2.14015125695,2.04323188674,2.36132260345,2.49982090068,2.37013126348,2.52237961342,2.72859268381,2.74927033539,2.45912165436,2.23865900628,2.25771531208,1.80552440002,1.68742933601,2.01869423775,2.0624576012,1.78824900142,1.68895467049,1.85577193941,1.39354056866,1.31843835311,1.45381725971,1.66974915202,1.45011354454,1.52010206323,2.32743187247,2.49552311052,2.71562823291,2.69941844724,2.31356410972,2.46836390872,2.23761848557,2.41885969296,2.36272762192,0.508161558671,0.590138992775,1.03121493528,1.10234167365,0.926146424803,1.33503863901,1.17749089228,1.48878894412,1.43103441945,1.23125592847,1.62364221231,2.03308212549,0.973514445626,1.69088311595,1.47606327184,1.06048610543,1.26774168139,1.10204828398,1.4265683055,1.33466591432,0.539478631249,0.772476502065,0.921903797273,0.875826122064,0.0895315987298,0.137851673947,0.327797088242,1.06443825113,1.27434703233,1.41698102098,1.34733271759,0.985625000209,1.12914259348,2.00882415627,1.96242175598,1.73300599931,1.8216024004,1.59791619364,1.553833713,1.71835252331,1.83555509629,1.49357365456,1.46983162977,1.68364939523,0.715958399061,0.948251487118,0.823591668672,0.64799502201,1.08545745922,1.02755896126,2.67811597869,2.86835724998,2.87289785746,3.07601049864,2.33993349868,2.40693462402,2.63558623579,2.49463322079,2.71176455438,1.77092556584,2.00337323549,1.70664796972,1.62778226531,1.93596754464,2.09347795197,1.5277243242,1.58761099372,1.87774948053,1.68226789429,1.96065151405,1.82328089079,1.78984467507,1.71260908411,1.87922075866,2.62444258213,2.81122931044,2.99553578578,2.55642150561,2.81834768778,2.62662967867,2.13211709458,1.76745276656,1.98062982002,1.12495708594,1.45562363485,1.35664636459,1.3539172001,0.729157727476,0.531935703048,0.625937913466,0.762894289957,0.391524660781,0.314600928392,0.737166675241,0.674089966637,0.478384402152,0.290930734262,1.0267248652,1.11358749938,1.16258939196,1.37316397925,2.00580168006,1.79674329049,2.12955413302,2.02811677239,2.12481846107,2.00872828191,2.42642342061,2.36143083527,2.24969869344,2.07292286777,1.01616262327,0.717088536216,0.785989747102,1.14922105765,0.882725643433,1.08160587844,0.432245579661,0.413317952937,0.80375186523,0.659586646746,0.794396809397,0.634598863078,1.68355379272,1.79551428286,1.44970886684,1.35309487299,1.4792185133,1.6857176227
    
};
const double THETA196[NST196] = {
    -1.39879016116,4.29290552688,-0.937064908269,-0.945764591142,0.869098980069,0.690132440686,4.00870550433,3.82380312656,0.133015465789,0.599313147326,-0.686521809384,-0.682918425682,0.172434683271,0.423138512991,0.411658556429,0.826635878645,0.992875148352,-1.23314119079,-0.886905027792,-0.96884804196,-0.869354478659,-1.04471898523,4.27325532862,4.50345754587,-1.35099218529,-1.53568741585,-1.09978895672,-1.49114157014,-0.622642130078,-0.637223824463,-0.0122066818501,0.286428223023,2.99803767246,2.96752777002,2.5384756761,2.74233298388,2.15165335374,1.90767868759,2.46926237165,2.68651765489,1.95644177919,2.53906368875,3.2944324046,3.76584122856,3.48887883771,2.7481727468,2.95028166459,3.14501287265,3.39061927511,3.12744171073,3.33923410152,3.50062744154,-0.480259347054,-0.280261383655,-0.0955986160253,-0.115072124391,0.560337364087,0.332811467341,-0.966088665087,-1.15358840735,-1.00046483975,-0.495079531284,-0.656905027578,-0.426289208525,1.15963296772,1.33027812736,1.62841713147,3.46452720013,3.87637290747,2.57254124801,4.42729833968,4.2979258923,4.05520263476,3.91130051605,3.37808403709,3.60568728296,3.66232850164,1.34933038882,1.25389783742,1.72062116747,2.5624323531,2.57770111415,1.30135084276,1.21086041804,1.55989690753,1.38396784491,1.59913908711,0.714237250946,0.678104317038,0.891467913842,1.16206278221,0.980860351692,3.7366501396,3.17053219172,-1.1609736903,-1.11483105316,-1.28202865411,-1.50653839836,-1.42055632555,4.68832861271,3.85934507402,4.07417898369,4.1234102221,3.70891434698,3.76977202055,3.97532239097,4.69341175964,4.49919725968,4.63742602288,4.40643541284,4.32299331985,-0.376787542551,-0.447800956207,0.126996343883,0.00339147810881,-0.246137658807,-0.0156009829997,3.45024745599,-1.52694920829,3.07068782174,3.97148448643,4.24701962691,3.94122471399,3.87663179939,4.50847308402,4.36225610912,-0.316895021078,-0.34084997707,-0.682444583324,-0.495236001174,-0.731694944088,-0.575115932759,0.938202810665,0.728783458353,1.07319603318,1.11700351484,0.839544182254,0.675566688733,0.0735329036302,0.294226246794,0.463895962205,0.335725758055,0.0408824865674,0.662965888283,0.739559114522,1.38708455103,1.13181546416,1.67766181592,1.53839731511,1.49197997337,2.78805152743,2.96980789241,2.78285090759,3.18564748945,4.4485884031,4.2418379763,-1.25866365282,-1.50771503471,-1.24790804871,4.48019766728,1.65781415434,1.3329621944,1.15233580815,1.53197984437,2.14960463908,1.96547091301,2.37163917892,2.37807131896,2.32927203473,2.34494634088,2.11105553679,1.90941226796,-0.144943351745,0.0670534847881,0.162117270986,-0.139931312373,0.392525929233,0.321756086501,3.00977844775,3.30463633459,3.02426735215,3.21838405974,3.53138794426,3.47196174541,2.62748473851,2.08062052909,2.50204962909,2.7205217448,2.18801705959,1.96178119228,1.75043866232,1.93156157162,1.77544514533,1.97567098299,2.16404739813,2.14589799835
    
};


const int NST210 = 210;
const double AREA210[NST210] = {
    0.0617261268408,0.0572021838321,0.0585417938648,0.0579280011801,0.0628324889081,0.0600692862341,0.0609854756845,0.0591470501748,0.058467055142,0.0572211510884,0.058526820186,0.0584063297697,0.0629212944849,0.058485970962,0.0587998679634,0.0597919176565,0.0617154681067,0.0593629151904,0.0584048672317,0.0584563269676,0.0565036549011,0.0604426835554,0.0616212055909,0.0567587686408,0.0590195766734,0.0626737849368,0.0604578213511,0.0580331450718,0.0601845861277,0.0609650862119,0.0602381574602,0.0614350575904,0.057675434257,0.0614435647344,0.0601357747143,0.0606436947824,0.058516660023,0.0603949705967,0.0612807382314,0.058676514521,0.062078711286,0.0591027958568,0.0627753295078,0.0568733542969,0.0614661025879,0.0599697922713,0.0578262691074,0.0604992858605,0.0573446399649,0.0608952893807,0.0575454564564,0.0596462828169,0.0584359546775,0.0613956781304,0.0581551890517,0.0596317463966,0.0568177903081,0.0624661475829,0.0594039733269,0.0595157041224,0.0625432382959,0.0589886090546,0.0599593815068,0.0614006997236,0.0609971295995,0.059644376798,0.0575743926486,0.0576005519456,0.0614582203163,0.0579799506881,0.0572147898719,0.0632280691993,0.0573247291651,0.0577851114325,0.0609633833708,0.0598527056738,0.061395890046,0.0588336341589,0.0589329561808,0.0588594830734,0.0575033699712,0.0636153242894,0.0614667698898,0.059836059967,0.0609490477428,0.0599427215578,0.060992235703,0.0617394120729,0.0597898915972,0.0616086081686,0.0599585833968,0.0603997301358,0.0579381733046,0.0613763590138,0.0607981981826,0.060961085144,0.0584203973588,0.0599616864129,0.0572786402672,0.0598138660989,0.0588934323424,0.0600343770278,0.0602415630196,0.0583684733324,0.0607680389403,0.062993320632,0.0574086256585,0.0584923329581,0.0601812167544,0.0579784139407,0.0573779165296,0.0630017327435,0.0583718210939,0.0585171184189,0.058155534865,0.0613669118278,0.0579409057712,0.062817072186,0.0613784399263,0.0597049728596,0.0585632128005,0.0586823214224,0.0628116061211,0.0572428072035,0.0629258462517,0.0584716026651,0.0590894912888,0.062075774712,0.0605919214638,0.0586325221713,0.058894588923,0.0595104634257,0.0625367518162,0.0590212952343,0.0567714437982,0.0594129165014,0.062469960423,0.0614876120822,0.0600550869591,0.0604977268336,0.0617609855461,0.059978943823,0.0608883354762,0.0596841192514,0.0607528377946,0.0573074068185,0.059779199051,0.0578427640479,0.0621323486405,0.0578323006126,0.0587510828722,0.0629538807279,0.0586873422163,0.0627785760775,0.0568780687601,0.0579805899646,0.061716254378,0.0593746734986,0.0629321845602,0.0578386572947,0.0589624905788,0.0620820432839,0.0628970090094,0.0584960013579,0.056514592837,0.0615457759188,0.0604177830247,0.0604087851543,0.0616301921087,0.0590449330796,0.0601335773987,0.0576854913489,0.0580541040744,0.0604638351777,0.0602104325046,0.0609567743297,0.0612931762639,0.0603727593784,0.0585154840033,0.0602179813966,0.0606605959591,0.0607402992078,0.0624186049465,0.0596818112761,0.0605764843196,0.0586418303659,0.0629173567506,0.0584563520542,0.0596765598385,0.0599895918732,0.0624447935436,0.0586029827012,0.0616856101553,0.0575607114475,0.0597098614745,0.0583943402342,0.0567541791485,0.062639679851,0.0572141888902,0.0632281967766,0.0584620551142,0.0613922234501,0.0591338295615,0.0613816159532,0.0574750795995,0.0635785441598,0.0578159100694,0.0572651244042,0.0628414012199,0.0587136259924
    
};

const double PHI210[NST210] = {
    1.64205163325,1.69576891668,1.55302696835,1.65786003915,1.81035172201,2.95259004663,2.1249446318,0.741493568919,0.723553593224,1.93599048719,2.14282114279,1.25007811366,1.04182127262,1.02635892657,1.89145345108,1.79361677253,1.35938818867,1.42485102221,1.14838278674,0.99705814157,0.879634603933,0.661399804237,1.19669679328,0.901890653771,1.25556457096,1.09770289637,0.579064320031,0.621791804787,0.844020570294,0.984616886048,1.33441999678,1.06374203844,0.964463053263,0.832904133211,0.787902716094,0.384126785123,0.193770593424,0.230221614714,0.0258511719668,2.29424459936,1.57959835114,1.66096165612,2.02038929766,1.87437724004,2.7967870441,2.57806523377,2.54229714419,2.74506583765,2.56484307545,2.76896456441,2.79822718898,2.40784507977,2.39643720059,2.3985253715,2.01370066215,2.17944064897,2.24307873494,2.16227518747,2.26993357228,2.49615785582,2.59775839819,2.44354220202,0.689805061893,0.57833006518,0.229284323085,0.360440748487,1.0073335915,1.41544068882,1.36449124173,1.28860835751,0.959186224399,1.07431141218,1.3581705353,0.934410333228,1.24797450007,1.05837374614,1.18734698209,1.36397470589,1.57816229938,1.21923419499,1.55309323497,1.57152650421,2.17261512819,2.38703490527,2.39338068556,1.42189920262,1.40660925281,1.7655980271,1.57984248649,0.806267324898,0.818214934415,0.596523173251,0.386029486161,2.73802075954,2.51135842722,1.72581766695,1.45542742879,1.51104402873,2.19551383769,2.07767437816,1.8662363286,2.1120863193,0.924544541244,0.690862683385,0.463363640366,0.815794901293,0.763338309699,0.575726556235,0.39331749424,1.9457428196,1.32072054276,1.16256974512,1.21952868619,1.52597051393,0.397865345695,0.623162592102,0.528110489743,0.336544697462,0.771426356384,0.723598572609,1.64128627014,2.0707360693,1.92155721418,1.72141391838,2.28106769262,2.40959460303,2.28062500769,2.47147745477,2.51885325753,2.33072695699,2.79251702411,0.616314122133,0.806705678975,0.815716331747,0.661954521122,0.405339624566,0.4521778649,0.925064218937,1.0589084659,1.03320964047,1.28856108935,1.39045917049,1.26440078704,1.0242404107,1.19744440575,1.03369958106,1.21646246586,1.39237158135,1.40225505447,1.76758417533,1.93700633118,1.76454410323,1.9499660554,2.14730644024,2.13545656816,1.98608460922,1.6168700403,1.78783418139,2.05458452062,2.3685657813,2.00855332643,2.15563926497,1.61093369862,1.80538304526,1.54683911135,1.93510725406,1.84878497536,1.65814535928,1.09766452354,1.26262357329,1.14102277134,1.02812642169,1.44663233161,1.37207112602,1.33295478463,1.14864395093,1.89770419679,1.82155289681,1.74645486036,1.59454684036,1.52214661489,1.44352702927,1.75186435933,1.62439043882,1.72292328059,1.94695209096,2.07866750423,1.97770340891,2.69636664599,2.87665546543,2.63360042872,2.73120366038,3.09064928718,2.93583934137,1.67302751761,1.63464142831,1.47493025448,1.45193138294,2.18301658924,2.00211427025,1.82023680452,1.8367515343,2.19174625482,2.0262701945,2.59972261129,2.41393475512,2.24074845605,2.57216772373,2.37119677121,2.22279345708
    
    
};
const double THETA210[NST210] = {
    2.3098846686,2.51498827854,2.68012833101,0.0253666627587,0.169392501915,0.657387339984,0.490992496048,2.65116816848,2.99039328198,-1.33637194821,-1.25929241163,-0.820476371327,-0.914252056679,-1.14541300435,2.61460431107,2.16523771779,2.05625646871,2.2600818858,2.00125526765,2.17173043291,-0.74576225749,-0.774975400854,1.37253440654,1.67259232958,1.61581745265,1.76047374954,0.966195650031,1.31010293167,1.39389491435,1.24123813693,1.25316102984,0.485401641265,0.965288700881,0.534975301238,0.805233885293,0.745276341802,1.21251649094,-0.764791583187,-1.12050850745,3.41360652402,3.05851654701,2.88457603863,3.00851756579,2.85098373261,0.161582322815,0.369567296303,-0.39571709708,-0.42610149364,-1.17299105175,-1.05040359745,1.26023224126,1.6191403593,-0.133349902,0.15804166089,0.0978082156619,0.257530292958,1.16067774104,0.919665482458,0.691073140548,0.68949601478,1.0575356908,1.27195547124,3.53384992091,3.21130754361,3.5834542682,3.03368656478,3.92616241998,3.77002143123,2.64946743748,2.43191979551,2.60811904911,2.40408063841,3.06261372911,3.06693442885,2.8588724022,2.844681848,4.07671837497,3.99066661754,-1.52993974539,-1.26792675509,4.10440742845,4.31203289817,-1.03235218752,-0.654603856943,-0.93371694055,-0.948376107971,-1.17259391141,-1.20673370066,-1.30175727126,-1.26120094063,-1.50510564814,-1.08064272864,-1.25879854111,1.86229151811,1.88769911124,1.95660042833,1.69543596408,1.90082692269,1.64348140361,1.8453758932,1.79774553277,1.3867140271,-0.463593331996,0.2993046879,0.285856421731,0.041182803929,-0.243671501861,-0.410145218339,-0.216522785756,0.916946204154,1.01696649562,0.873326483872,0.649257589157,0.956032860751,2.45251451828,2.41164607697,1.67153574443,1.8714005006,2.13046071178,1.8582050896,3.76128011224,3.85059706488,4.0269999738,3.9668915638,3.90980617712,3.67880926501,-1.4912014996,-1.51903458212,4.38233131068,4.19517607477,2.37620326197,3.83849032401,4.0337289192,4.30668850618,4.53228423379,4.00956877064,4.51110072448,3.50625848105,3.6827104587,3.28074139158,3.62143125874,3.42060521145,3.25877645417,4.42868725391,4.32026717414,4.67694501915,-1.49811204608,4.4350505116,4.65698916594,4.39365473246,-1.5703398017,4.61773603201,4.25255832151,4.34731261372,4.59255061866,-0.889545282254,-0.855347040364,-0.980104266793,2.49810713195,2.15703945805,2.24630581705,2.09035935479,1.53255344431,1.57641652788,1.32967977034,1.36736049108,1.13238464709,1.14075761621,-0.411900644574,-0.595308140516,0.277774073429,0.0706636747074,0.0726806696981,0.258746996198,-0.129780691837,-0.149468007419,0.535945714201,0.735798218433,0.381562620205,0.765355530577,0.420094078399,0.607744191893,3.60197558083,3.4114790067,3.24402822918,3.23324483432,3.42444692424,3.62831376894,4.22893605183,4.67549316729,3.74614924369,3.3674029025,4.22950188064,3.03273391803,-0.198591200116,-0.638277362782,-0.301397371083,-0.510682787489,-0.534757890292,-0.653251989401,-0.533215802892,-0.298009885792,-0.26480792881,-0.153162415167,2.62995761815,2.4684206133,2.63803785048,3.04010873968,3.12922806285,2.92481792802
    
    
};


const int NST396 = 396;
const double AREA396[NST396] = {
    0.03196806835,0.0307724814763,0.0326670909823,0.0316753895894,0.03241593564,0.0318400794937,0.0325723045501,0.0316902612656,0.0313380298612,0.0304442548717,0.0329109704209,0.0316294159061,0.0311261854815,0.0324481846991,0.0302529332871,0.0299337495325,0.0336586239237,0.0298606799971,0.038943019973,0.0313518618684,0.0324459235281,0.0300835348858,0.032919542974,0.030007112045,0.0339456101877,0.031439248786,0.0311274136036,0.0308412242929,0.0332299213076,0.0318391625081,0.0307473344078,0.0327271256857,0.0320582010291,0.0317433101989,0.0315504238471,0.0315502765064,0.0329668656051,0.0307051346218,0.0314888481773,0.0326729310569,0.0313903090479,0.0328447962789,0.0312767914791,0.0317042423325,0.0328018064884,0.0310766125467,0.0317446089275,0.0327723364577,0.0316257100321,0.0303708758793,0.0309141591621,0.0310952382243,0.0302798893944,0.0308007312497,0.0327397848397,0.0315083013587,0.0325358857685,0.0319347878067,0.0321014582275,0.032970012598,0.0294522431313,0.0318511860402,0.0321735593042,0.0317112070203,0.0319092112013,0.0316329736358,0.0307040867842,0.0306476131915,0.0308413200566,0.0304029429484,0.0333360012636,0.0303345472719,0.0307816747325,0.0310187657823,0.0336805232324,0.030452737782,0.0308530647428,0.0314817165838,0.0324917977933,0.0321975864164,0.0322787063524,0.032131488421,0.0313014745753,0.032024567557,0.0323005973735,0.0308533426957,0.030761375968,0.0304687609196,0.0328390590568,0.0314926720471,0.0323383202758,0.031274873493,0.0319807975883,0.0319575858874,0.0299756554502,0.0326093302885,0.030577241214,0.0380165862533,0.0336345019351,0.0310158066808,0.0313364596216,0.0325033809997,0.0310069926698,0.0327023874213,0.0306648669175,0.0331308246036,0.0316587111431,0.0316290706979,0.0312239071564,0.0318444879588,0.0313310499878,0.0326993452984,0.0319956577793,0.0323353884764,0.031139279012,0.0318422796366,0.031488419299,0.0317694166571,0.0325892444505,0.0315655265794,0.0322149103406,0.0318590285214,0.0321988505034,0.0321150233477,0.0312783897417,0.0314978456415,0.0308145540461,0.0319389362847,0.0305842802071,0.0304751069434,0.0303407069125,0.0309307558749,0.0312477297644,0.0329290265655,0.0304135212529,0.0327095998468,0.0318167332071,0.0322522842709,0.0311297488753,0.0313816509232,0.0317180516934,0.0313433164486,0.031234905619,0.0328214865829,0.0312255669176,0.0332255183054,0.0327989491842,0.0309694878391,0.031226670151,0.0323111999794,0.0327167412032,0.031385334616,0.032328856459,0.0325014437715,0.0318304554517,0.0318672729691,0.0318016591845,0.0314340208606,0.0323390971949,0.0306674931114,0.0320663397708,0.0327848186549,0.0334842664009,0.031650894515,0.031044259039,0.032426730159,0.0318835323752,0.031932534153,0.032123778789,0.031383197724,0.0313208234634,0.0328927228934,0.0319576405568,0.0311663378929,0.0317523680796,0.031391973863,0.0309971828016,0.0323414232078,0.0315839127426,0.0324004692026,0.0314150856752,0.0307800163387,0.032834147999,0.031808738222,0.031655069784,0.0323372575461,0.03002487425,0.0316408645269,0.0319456214575,0.0320576490491,0.0324915309134,0.0310442404533,0.0314989764372,0.0311289313323,0.031855686058,0.0313448749221,0.0316085724141,0.0318854131335,0.0329953570563,0.0317759351331,0.0309336870324,0.0326655163441,0.0318016069401,0.0317647839363,0.0311175453967,0.0320308170714,0.032119204769,0.031264618296,0.0320172078262,0.0320723692976,0.0322087189005,0.0316590903441,0.0322845740305,0.0317335423549,0.0310281091071,0.0304268850935,0.0331252581373,0.0308080108274,0.0317667212385,0.0326650019839,0.0312366672035,0.0324600392685,0.0301425063795,0.0305081962146,0.0306387982171,0.0312662513038,0.0300178583765,0.0304862962875,0.0324863640379,0.0335447409856,0.0308724659125,0.0317489484094,0.0308301367763,0.0318638768295,0.0331208227813,0.0313004376747,0.0311332290901,0.0310870703121,0.0311057145924,0.0331623093442,0.0313980020344,0.029995772295,0.0324180209079,0.031055061027,0.030518750923,0.0329702883695,0.0310360502093,0.0328873948018,0.0305873140198,0.0322710005692,0.0309229268826,0.0328371562254,0.0315999428187,0.0322659138972,0.0312670341958,0.0311668524703,0.0326672952385,0.0297563832912,0.0336979069779,0.0315124209716,0.032117704645,0.0302264892837,0.0323117122241,0.0321733819469,0.0320926545123,0.0309395063436,0.0331193552439,0.0309339094277,0.0305028805452,0.0329795725317,0.0318733256954,0.0333498422757,0.0318489477896,0.032861365092,0.0312299493823,0.0312764709868,0.0325225197675,0.0330937604043,0.0306935680727,0.0312378311115,0.0322687370109,0.031857647371,0.0311325778664,0.0321099153684,0.0321593297224,0.0317731416173,0.0320959937696,0.0301597393625,0.032420414026,0.0304356824728,0.0328472759056,0.0313759407128,0.0317236405112,0.0325905593951,0.0310072231131,0.0318237805372,0.0320668938192,0.0320413439128,0.0316171356179,0.0324894629487,0.03286636986,0.0310258885552,0.0327809345445,0.031272363915,0.0325601836509,0.0326020913087,0.0313420807296,0.0316103856774,0.0318864546126,0.0315831993899,0.0323906971195,0.0328880274412,0.0315266328732,0.0320219870382,0.0309247504999,0.033227062701,0.0309841400221,0.0309614505782,0.0303308291027,0.0312634025704,0.0314136225711,0.0302883287319,0.0326226568884,0.0303145772644,0.0329859873399,0.0319066766656,0.0311712542463,0.0309737471274,0.0333330127418,0.0313757270155,0.030933370407,0.0326489853417,0.0333350285315,0.0316133563944,0.0307919537013,0.0326898482914,0.0317186371716,0.0332078927676,0.0310222651778,0.0326850446859,0.0314299624938,0.031412241056,0.0327099745256,0.0310583622241,0.0322798738471,0.0316147893588,0.0312112154822,0.0329953333098,0.0310051159533,0.032236563216,0.0317650427946,0.0308034153633,0.0325879614426,0.0308239041695,0.0305579741665,0.0334965959073,0.0304723714499,0.0317272809071,0.0323531238259,0.0311920205473,0.0323627164706,0.0326259036942,0.0307573090302,0.0318530716458,0.03230015494,0.0312356351217,0.0324697891176,0.0309473562468,0.0305052914482,0.0333881565102,0.0327027978552,0.0304401523955,0.031966884925,0.0325524307364,0.0319887962319,0.0319682287202,0.0306708152369,0.032373562358,0.0312290681946,0.0317476091343,0.0327822735816,0.0319771327094,0.0314941880356,0.0311844250801,0.0327073658651,0.0308447664465,0.0305961093274,0.0309767782876,0.0305810178556,0.0308007887344,0.0304984092436,0.0308613805317,0.0305237462805,0.0305747855136,0.0306106529603,0.0308269037684
    
};

const double PHI396[NST396] = {
    2.31176052497,0.696785381799,1.26730066,1.41299632057,1.52601790063,1.50079731645,0.775639585955,0.435847923935,0.581910041599,0.837524756219,0.697660808152,0.650714932317,0.888189413513,0.812527781427,0.314181108795,0.391954236848,0.396118112416,0.0794623070853,0.202185899367,0.186753495252,0.338428563595,0.161379184414,0.30559673095,0.459391806863,0.517718908522,1.45387779152,1.2990637431,1.50525316265,1.49167317972,1.81030593945,1.04803871295,1.92814462286,1.66858401143,1.76512334192,1.67144971628,1.7909592956,1.48857132891,1.63425644758,2.17352033451,2.12458949333,1.65121572249,1.79754025429,2.34332732387,2.19737877394,2.12713449724,2.0968365024,0.854692620619,1.0124522328,1.15939952474,1.0030725586,0.916133241006,1.15632542176,1.17168419701,1.02711253342,0.948959210375,1.51270808094,1.52062129106,1.26831403289,1.40091050632,0.456965478185,0.32015255276,0.490129245876,0.346494294942,0.574989217298,0.429714156186,0.914059332287,1.14784167592,0.867337286872,0.858076781153,0.551464985608,0.613171705703,0.764042190623,0.54343606281,0.577929553359,0.769388604386,0.683596319248,1.35319666546,1.23906885126,1.35988061229,1.21740663206,1.64639883387,1.65326547226,1.78680610482,1.86253861326,2.02837239074,1.79138734028,1.65326858106,1.68881591235,1.13532036251,1.07443044207,1.17989900745,1.29301455888,2.15789536711,2.04144494827,2.12576615189,1.98020105939,2.37642869741,2.24309328244,2.33625527902,1.34741736534,2.05838246415,1.92267875337,2.19474801031,2.19810634856,1.59388777332,1.62267094885,1.71656412252,1.86400372621,1.77496575107,1.89426882882,2.31928601496,2.46260322377,2.1264833159,1.97150452213,1.94798592265,2.72232881227,2.57354541606,2.99603855532,3.00136900511,2.83796512203,1.75822014365,1.64014222598,1.89456770068,2.16307814052,2.43884813992,2.55653218888,1.98518913089,2.1277584552,1.01477773256,1.00822806796,1.88303141384,1.98576513015,2.05925892802,1.90971327622,1.5202758141,1.6547449955,1.6373892574,1.5167944079,1.78174483646,1.79596176859,2.22172919178,2.07734269049,1.94646351176,1.94145923617,2.73608647634,2.73960850572,2.48295059454,2.59339797312,2.08325095155,2.22227743697,1.26520612642,1.22173063964,1.36026769806,1.12053712269,1.09829258493,1.22190257114,1.37776749941,1.26111725606,1.5712875067,1.0266920436,0.893336439274,1.3712570788,1.12483708553,1.22211089045,1.09306209718,1.2910478717,1.42476870382,1.11631511601,1.06676988672,1.449771098,0.936314060352,0.964648146386,1.07602787105,1.09163836884,0.659414320464,0.526859267083,0.811911689083,0.797927770303,0.704981606838,0.562873589921,0.829198058417,0.78924436294,0.876041791699,0.678644861875,0.632951094183,0.564831814146,0.123017001608,0.269966193751,0.169807589087,0.322465894021,0.389680059315,0.411664384201,0.728096159587,0.586058656447,0.864771919022,0.862014772549,0.732397018757,0.594739937965,0.846916496037,0.870863430152,0.992103011174,1.00062089176,0.425435021745,0.564623769417,0.439190189339,0.593368212513,0.715898571219,0.700351112435,0.72302764987,0.772486533884,1.01710743794,1.3113148681,1.16111297043,1.77144805314,1.91370255831,2.02419348936,2.04675901517,1.61847563217,1.62086056626,1.75689129124,1.87786559618,1.76519790435,1.88378732653,2.0190105833,1.95602062484,2.06905691542,2.21849590339,2.18381440884,1.38813271973,1.59049753297,1.43586247662,1.33497090301,1.64615624215,1.54390315194,1.4951636962,1.5488616194,1.59729132853,1.70338407446,1.75079233708,1.80424877721,2.33167022,2.41070695686,2.30782548391,2.47249915878,2.13177411287,2.27635980261,2.04068949643,2.08062867781,2.24564024092,2.26920588791,2.34907929689,2.49312295534,2.70098271424,2.85549736761,2.56078104076,2.74270059303,2.60280545857,2.49628252718,2.48347462691,2.62615241007,2.7635171918,2.59681628973,2.74937161546,1.73807928124,1.59827006103,1.58606200037,1.71818227886,2.15760627088,2.25560824354,2.2876639813,2.01493330104,1.13077690085,1.38084074082,1.38486134993,1.26490307779,1.12625865823,1.25577733428,1.93829459795,1.89712750559,1.81366226064,2.44165521039,2.29506571102,2.27697516462,2.33785138039,2.40594939038,2.54576442129,2.39082087556,2.3010866836,2.14458049228,1.91734856658,2.05930957492,2.16191845626,2.08503070171,1.9183449732,1.85114038973,2.48477118988,2.34601016357,2.59543757575,2.30787674523,2.53572503191,2.3920042891,0.954414959859,0.824344560586,0.673190988701,0.670602038639,0.988306605106,0.838811125455,1.11300122308,1.09417597452,0.818364169072,0.949826443206,1.84599357322,1.9996108456,2.01828907951,1.72218455552,1.75111256124,1.89308845029,1.3843921634,1.26619702982,1.52488866549,1.34459333957,1.50593400833,1.38588361215,1.5079723174,1.44893068153,1.20419342163,1.71582827889,1.83639514791,1.84883958191,1.69414129196,1.30283348825,1.44304154412,1.30142254085,1.57723027195,1.43214018816,1.56746223346,0.917284988669,1.1776549164,1.02047305606,1.50121846428,1.47917964055,1.32896052958,2.5053054119,2.35503579713,2.27035706687,2.24672756588,2.79547488062,2.95556649655,2.96396829628,2.81193859628,1.85270292566,2.10577150347,1.99284804991,1.84476876448,2.09978361572,1.97922051903,1.7438798564,1.48117556358,1.61891659507,1.7375966849,2.62401045801,2.71288124931,2.56723913424,2.53182872808,1.17255587961,0.980731507507,0.998114056929,1.29588473473,1.10587368579,1.24691718189,0.987199791866,0.926368717584,1.03933387921,1.20013412338,2.42405587056,2.42679633471,2.54892490199,2.69865938298,2.55773310729,2.70484906098,1.62875388525,1.53919788753,1.65858323704,1.38880328479,1.36364811454,1.48478363959,2.76725055687,2.82709730345,2.84275386461,3.00403327366,2.98319561957,1.13191993571,1.23385640099,1.22198071564,1.37673049277,1.38359121376
    
};
const double THETA396[NST396] = {
    0.553414398579,-1.46680480798,3.19185953489,3.10677317961,3.1914837276,3.35686814715,2.98877217408,-1.12363409936,-1.03685227222,-1.15213283879,-1.22323609443,-0.784922264222,-0.956189863155,-0.786192405505,1.42448328374,1.01546851901,0.625931087037,1.5603395751,1.82782980013,-0.778899767247,-0.787527664044,0.151967437922,0.244571413549,1.63630584209,1.90426767204,1.50119676711,1.44614038868,3.83869608563,3.68213941956,-0.688405530599,-0.962261685846,-1.3985132466,-1.48158335601,-1.36774457859,3.11509809976,3.20145408165,1.66094721759,1.72747857406,0.601096228029,0.793747937775,0.0518067800135,-0.023995315774,0.326566922594,0.971106186227,1.30257443391,1.13356266269,-1.53727124322,2.68897157331,2.60231016969,3.16387657158,3.00082598453,3.10373314017,2.92844436547,2.85481736472,3.89876643038,-0.0361175165889,-0.199292669235,-0.263582709924,-0.313640943589,2.23000348396,2.40453454764,2.94252108588,2.88410511533,4.65906104804,-1.50862969316,-0.624328978866,-0.379284602795,0.136376804354,0.478483106896,0.545430844609,0.288013293243,0.297813293728,1.12726316592,1.41083317729,2.07712552284,1.8881072705,3.60932550961,3.36554549869,3.44382667866,3.69681232148,3.9233724526,4.08898861767,4.18461600917,-0.823341875558,-0.840767160841,-0.1686657108,-0.25395300564,-0.410208045204,-0.831207409441,-0.66379863812,-0.546562904832,-0.866031234745,4.50115287374,4.38150490816,4.68134619831,-1.56025542802,-1.44453481533,-1.4263910316,-0.948129849994,-1.02276893737,4.20569145034,4.11144237937,3.93137236624,4.1203233827,4.5516028652,4.40456821546,4.65183387708,4.60612501294,4.34342431258,4.44271297558,3.79838553014,3.86438577859,2.93649127591,2.99368205233,3.14422896414,3.73985387172,3.66561319498,4.403514793,-0.63482506635,-0.570652346497,1.96540432745,1.89300229567,1.86370187554,1.66402297435,1.88864950231,2.07936895242,2.66814277518,2.76752888127,0.22978027942,0.423915081812,0.682069637054,0.812087863168,0.467477359034,0.527251818838,0.280102616627,0.199462083245,0.514456237608,0.442639976718,0.433178848604,0.278857398993,0.209563191116,0.296567157691,0.0470280027431,0.205056844662,-0.190889463105,0.234021374966,0.220874767174,0.390384867859,-0.0541666553725,0.0109349217212,1.29421229937,0.968767285324,0.703499349572,0.529884700702,0.711574335669,0.796938677949,0.533972097744,0.448145691724,1.41232818553,4.27557202393,4.5780605498,3.92212964984,4.13854303376,3.85544725333,3.96063420487,4.45478988144,4.57927220951,4.44165399155,4.57666155712,2.46700475182,3.70611967315,3.33417783727,3.61455334211,3.44576673129,3.71379514823,3.54744827303,3.39290946941,3.60382603869,3.21392463529,3.23983594077,4.03012793321,4.4008242198,4.23358853084,3.95895414116,4.39654836058,4.15233339889,3.52804416946,3.3583250748,4.57855267445,4.46634264953,3.68679125539,4.09226279736,2.29437806227,2.40263137297,2.42136691789,2.61182346885,2.7579361343,2.6942941403,-0.0515576004261,-0.441423159555,-0.143410341807,-0.317789181651,-0.0909872633567,0.0130777875215,-0.465005775075,-0.547734726266,-0.375195568882,-0.148788093063,1.45699095261,1.68032124545,2.3490005665,2.38056839044,2.44645906181,3.8582771236,3.94849591509,3.69505415559,3.85859502752,3.59947056109,3.43780475179,3.68894621092,3.61771507026,3.36045358883,3.44989142829,-1.27465141613,-1.11946920972,-0.992644517625,-1.06290050962,-1.25902851931,-0.745539909745,-0.517708842462,-0.476936513068,-0.591714752689,-0.666926953687,-0.778805134969,-1.05006471464,-1.19716631209,-0.927287748597,-1.22000553298,-0.949186479929,-1.09582479067,4.22659748348,4.59642991522,4.43833062907,4.11595888822,3.5636897925,3.58868181186,3.40741731843,3.25923448804,2.48975625871,2.67483831377,2.32688176607,2.33797582139,2.03030197517,4.49782943037,4.55744195121,4.13849332495,4.27324831799,-1.26981907913,-1.02958796615,-1.44417960967,-1.35308933686,-0.820012678235,-0.909103968521,2.13866510858,2.22979382122,2.39358360541,2.47574703556,1.84788837149,2.15033055432,1.9627035981,1.94041362928,0.158729246705,0.0246872833503,0.195508723414,0.271046067853,-0.030925743913,-0.0864323733494,1.10579132549,0.960982580816,1.22000476067,1.65490840088,1.5564405091,1.35590924202,0.966784189508,0.738822605206,0.69232155951,1.18718019161,-0.729864010367,-0.701157454783,-0.273792064013,-0.234271968516,-0.378206453491,-0.549177468287,-0.555847263842,-0.426606211557,-0.0529160495018,-0.13109764163,-0.259967587619,-0.345798780264,-0.550599923544,-0.547114290947,0.794569446828,0.67108652452,0.738039153187,0.979922320882,1.35386554554,1.29438565282,1.23727018664,1.06640171106,1.08783369873,0.982242842493,1.36854555179,1.42006294332,1.58641163313,1.47088556883,1.62794705717,1.68936573855,4.07165987851,4.17981333022,4.15185609817,4.33175366093,4.31043686019,4.70002858749,-1.46300795453,-1.32555302809,4.70817953218,2.63784589704,2.89230859788,2.73184678687,2.9543395849,2.68795870798,2.6213022856,2.85129965886,2.70795558138,2.94072487906,2.86610758503,1.68676685763,1.56032717634,1.52833448263,1.98973596441,2.15496912228,2.23033779162,3.40447628604,3.40144280014,3.05113015897,3.2290986715,2.38125717074,2.44236412773,3.34760958725,3.38073004416,2.21955299147,2.21745625451,2.12528374601,2.39407330714,2.40778344334,2.48972267473,0.918253772112,0.777605240312,0.681601383135,0.753512919597,0.957832210892,1.64516785318,1.50216296014,1.22305437473,-1.44286561188,-1.2556631844,-1.41227329364,-1.31595026923,-1.13338656686,-1.15904240957,1.86550912598,2.04703799761,2.18285309119,2.134022404,2.76158631682,2.97991358575,2.59698272757,2.68500622191,3.14919709708,3.06219485542,1.00909268071,1.2555633819,1.16736648247,1.19429187601,1.03684533286,0.941636681709,0.956757715176,1.39815897235,0.514195987453,0.436231460551,1.57552687306,1.85308094522,1.98379325327,1.70770498523,1.75204248748,1.91639528377
    
};


const int NST410 = 410;
const double AREA410[NST410] = {
    0.0299129824597,0.0307320240289,0.0309153261461,0.0299696286292,0.0319534183687,0.0294691475196,0.030023485182,0.0303026642568,0.0308562736467,0.0298191461686,0.0311331473389,0.030612002736,0.0307907608038,0.0319426978796,0.0309633508536,0.0306973265997,0.0301794958262,0.0305731407362,0.0311035896528,0.0308408536944,0.0309598498266,0.0309392594887,0.0318102128804,0.0309601109884,0.0299417024093,0.0304855959924,0.0313938609109,0.0302074249079,0.0306246022142,0.0318000823921,0.029998410983,0.0297420498881,0.0310306646117,0.0304270638651,0.0320652589326,0.0297625264347,0.0290255316998,0.0316085515414,0.0296115775697,0.0325747085322,0.0295452794979,0.0302729706974,0.0286061602708,0.0310961935849,0.0308494547391,0.0310935787133,0.0312587957644,0.0309131648657,0.0316958038622,0.0303013470206,0.0312245227667,0.030272519866,0.0309710741949,0.0303570951594,0.030893364684,0.0299311903796,0.0309800310946,0.0302318339392,0.0303718081532,0.0297274128963,0.0308124659236,0.0300514293267,0.0317377640383,0.0308039356793,0.0308764943404,0.0300617889642,0.0314358583758,0.029765762832,0.0316050043829,0.0304439199212,0.0301702717785,0.0312268294637,0.0303051984036,0.0307298918567,0.0306690421719,0.0306571926243,0.0304507918055,0.0302169963709,0.0316185008885,0.0314752830163,0.0315320734599,0.030902351624,0.0311638658398,0.0307933033015,0.0304434756777,0.0299480034398,0.0292859714715,0.0308249397375,0.0304907401372,0.0292091807266,0.0295931275008,0.0313919805121,0.0301248316218,0.0305154385749,0.0317658060508,0.0317187173641,0.0301446816851,0.0318398401571,0.0301952898698,0.0303795504453,0.0316384004301,0.0321805731835,0.0294645187812,0.0320609447599,0.0290485445939,0.0317996897304,0.0292303503153,0.02965929487,0.0332441387196,0.0309247859261,0.030816087616,0.0309984490658,0.0308799605778,0.0308306155927,0.0310129302208,0.030939213497,0.0319028673155,0.0291278976722,0.0294659816308,0.0300411609629,0.0315313513416,0.0308916659388,0.0306849685504,0.0315292465398,0.0298874496687,0.0306026312778,0.030470431744,0.030236039873,0.0295412956344,0.0317172390244,0.0292569707308,0.0322127054158,0.0297760026204,0.0316530681698,0.0294459780912,0.0310295751943,0.0306835665842,0.0311185578547,0.030069126698,0.0297826622024,0.0296354513127,0.030052286933,0.0295516536586,0.0316589367617,0.030056586263,0.0312072025853,0.0305813024071,0.0309921633675,0.0301914266726,0.030020424037,0.0316523873737,0.0295361647593,0.0295354979509,0.0299823489676,0.0319934365347,0.0291096087685,0.029923329285,0.031364411003,0.0316809046034,0.0316222272502,0.0301206268156,0.0298315945889,0.0291388312107,0.0299357224509,0.0312065035374,0.0302518564518,0.0301406174903,0.0308157270653,0.0308016705586,0.0306678812575,0.0302485507401,0.030792207603,0.029930570345,0.0311923445463,0.0301768036651,0.0298608399015,0.0295616841075,0.0313346099056,0.0301475700746,0.0312543461898,0.030176680937,0.0314060305622,0.0309896311177,0.0305024650262,0.0292679273851,0.0310759052233,0.0307527669866,0.0316129079446,0.030965034841,0.0313615577728,0.030669334324,0.0316084260038,0.0308816976349,0.0303145889298,0.0313658887989,0.0302449343788,0.0303395279741,0.0312519695258,0.0314380679724,0.0301170433977,0.0306686669286,0.0311095918031,0.0297020132732,0.0304355910579,0.0310651613969,0.0311802663682,0.0312936431483,0.0321310877235,0.0307458684122,0.0307460898388,0.0309950219528,0.0301877309588,0.0302151325138,0.0298547396812,0.0315109254777,0.0295627515854,0.0317062929798,0.0300104451315,0.0306010981062,0.0313361122384,0.0302241548151,0.0294489936194,0.0297907436981,0.0296230594953,0.0296774361447,0.0294817024298,0.0315989105478,0.0304229551128,0.0310896515175,0.0304268939309,0.0294646882226,0.0297483700194,0.0298926457858,0.0298403537265,0.0315778618945,0.0296071357864,0.0305690333738,0.0320621713813,0.0309874780337,0.0300963605887,0.0311910002725,0.0315032172952,0.0301617286562,0.0313181522078,0.0303186449238,0.0304486253852,0.0313165487644,0.0298299854575,0.0314776121318,0.030076500068,0.0300246910773,0.031328761322,0.0304409717027,0.0300274109162,0.0308390895042,0.0319496844781,0.0301255915414,0.0310881160854,0.0290815572054,0.0299847138934,0.0319559816127,0.0295477924393,0.0322169961222,0.0318203226009,0.0298167547018,0.0314530549827,0.0293415855739,0.0323375971545,0.0314010899119,0.0303801069701,0.0312816502259,0.0305253300803,0.0309496656844,0.030987357797,0.0299486991471,0.0311547833035,0.029439104906,0.0333708611358,0.0303004975337,0.03163179902,0.0300136282978,0.0311251878812,0.0309338554975,0.0298105010126,0.0317726110973,0.0298309022899,0.0299813436874,0.0313329131616,0.031225375632,0.0307152065066,0.0299870375341,0.0315669213318,0.0310069265204,0.0309555520175,0.0316736587337,0.0308349894336,0.0310102490455,0.0289813978977,0.0316981825778,0.0309273367437,0.0304082390044,0.0307878414466,0.0315796535706,0.0302561284289,0.0310037229568,0.0294316475516,0.0305244715365,0.0310213598203,0.0317998225601,0.0290569696971,0.0307081204205,0.0298625794615,0.0299585137948,0.0318982180957,0.0315864556666,0.0301196045651,0.0315333371795,0.0298539002282,0.0299331680664,0.0317187209179,0.0300509596342,0.0315098266571,0.0302036543084,0.0289282082694,0.0310956719125,0.030220154128,0.028631660003,0.0362327530196,0.0292309971705,0.030327431934,0.0295290340108,0.030852334661,0.029162731607,0.0309210964491,0.0310809249519,0.0302558775191,0.0308360409944,0.0311435721574,0.0303166325831,0.0306422912407,0.0295869804444,0.0297213858306,0.0317589796641,0.0312282754206,0.0310160578024,0.0310517379724,0.029765275103,0.0315166675688,0.0300934575307,0.0298321656549,0.0294149519979,0.0322128408144,0.0293060949493,0.0309099154567,0.0303071328887,0.0294991792814,0.0315871440393,0.0303780832523,0.0302445763883,0.030846907202,0.0309176055113,0.0311104505302,0.0302080288306,0.031145593049,0.030316578581,0.0314758520407,0.0311292945133,0.0304988808147,0.0309548730729,0.0304143310228,0.0295977924873,0.0315857518118,0.0296928972381,0.0314958394983,0.031716920616,0.0300696857084,0.0303309583233,0.0303121284687,0.0312810114906,0.0315982596429,0.0308405763402,0.0300214065963,0.0318272065916,0.0316762774121,0.0298907050404,0.0297776567928,0.029740321963,0.0314617719273,0.0313560539584,0.0286992805296,0.0313396541203,0.0308761220603,0.0310023500675,0.0303950501978,0.0297332552768,0.031305875983,0.0310950726996,0.0305543074724,0.0308583861412,0.0303963961715,0.0296806831435,0.0296144496653,0.030064767368,0.0298234603482,0.0297687222342,0.0349891118046,0.0291406322241,0.0330612047124,0.032101109251,0.0292492977166
    
};
const double PHI410[NST410] = {
    2.86032076088,2.33372649195,2.39270650727,2.17095880499,2.09986127386,1.02546867271,1.31024657447,2.43342238627,1.79173846398,1.67890464929,1.75969664006,1.79066124912,1.91494110116,0.940336286455,2.71633997831,3.01004070729,2.45121661339,2.17449420354,1.52170772702,1.44658789936,1.43989679015,1.28039580316,1.60664897957,1.52788360362,1.56677129665,1.67129742604,1.61871858361,1.3686354429,1.54549369364,0.159865658595,0.313580782093,1.06012197017,0.901333984109,1.87878751841,1.90522748918,1.78942225291,1.65150105672,1.4468275287,1.47514798151,1.62088384372,1.73274664103,2.04048637281,2.02272377701,2.12668505097,2.15905869536,2.04180505934,2.39886561389,2.05047036351,2.31502816775,2.30842062779,2.17078754355,2.17976891404,2.05159221692,2.18253866454,2.05645186456,1.91929834065,1.92167664196,1.92719541175,1.98682771428,1.30542245346,1.1965294465,0.990888512766,1.02335571649,1.28305430709,1.34361701782,1.04199312027,1.12329549588,1.1075895259,1.24880738526,1.04164891818,1.01047609631,1.11303874269,2.13683172728,2.18119778581,2.24122454453,1.08939577757,1.08442051042,1.21503939567,1.21302939772,0.868688364089,1.78025211423,1.35851471797,1.49560277147,1.65113822451,1.64189595405,0.815755771957,0.775321193943,0.62250022047,0.505908519742,0.591882436589,0.511871970109,2.96908501772,2.86029685699,3.12233937018,2.58524880699,2.82968904342,2.29771051721,2.30970730926,2.57846828059,2.60264656895,2.42183801432,2.04579608098,1.76407021605,1.53051429101,1.61007600946,1.98549794995,1.95106622016,2.20124737343,2.06416156303,2.82424636905,2.87758578499,2.73642511102,2.66202131483,2.58864950348,2.55813856605,2.30405760619,2.44321254244,2.30294925327,2.46938397395,2.33851918771,2.33250364119,2.27371148644,2.30356110305,2.16788779118,1.34725854119,1.48620501891,1.52254367021,1.6840409908,1.69219249659,1.76865422593,1.49125774717,1.35784639397,1.53459223248,1.44833327653,1.05927565021,1.20141289931,1.21528406666,1.28694545706,1.750910695,2.02548566745,0.938702270104,1.51745693156,1.49838904852,1.75574775773,1.67878755971,1.6521757848,1.87996186966,1.74156396616,1.70810159259,1.94252021576,1.85949302424,1.17640623434,1.47052483641,0.692359418911,0.416952937705,0.558595939514,1.07248614926,1.20333748758,0.587623466462,0.438231935823,0.437977567753,0.711778020402,0.344752303086,0.115929713487,0.277764026521,0.352624656664,0.32910431125,0.26732464865,0.171614199479,0.115784841481,0.700331743091,0.853359054507,0.954043719559,0.97701118931,0.573109797194,0.638162615434,0.819487646631,0.689858184402,0.868451285806,0.79870585411,0.187170842199,0.435804837495,0.19287283202,0.338741970375,2.05947195081,2.19567519982,2.08142021113,2.19669779558,1.90736238483,1.89936524079,1.7698278445,1.64429462509,1.52070765204,1.55843375738,1.69814029353,1.81053256344,1.27183824824,1.37124557466,1.11847555078,1.33272717142,1.4436417391,1.51835388626,1.25182248952,1.37232578074,1.24033621456,1.16486146607,1.27271356475,1.45843964241,0.571738791938,0.40757593493,0.415501128845,1.77586403461,1.9056628229,1.62274614611,1.6283154483,1.74752758687,1.8823656108,2.71475360797,2.86886594386,2.97805015447,2.86426663926,2.68685634736,2.57816515396,2.58185138086,2.43835753015,2.43560274084,2.57776380917,2.70821935241,2.64988247059,2.42199369959,2.17494561374,2.33142270802,2.39281631121,2.16984404889,2.13485673842,2.23886007895,2.25789834379,2.61588181369,2.84837345076,2.69682958716,2.90518625826,2.07239273483,2.1183641812,1.81970842796,1.91929346215,1.86006245857,2.00496526063,1.24434125022,1.1053338667,0.99838662459,1.05224344179,1.20574955441,1.29221263235,1.51508007184,1.45274210653,1.42205653022,1.28605069723,1.30071504872,1.22674830347,1.0434215701,0.971027628111,0.819912727133,0.737554522105,0.966851885093,0.815721143614,0.831662049988,1.03608503295,0.913827687826,0.985553506438,1.06877780185,1.20789112877,1.09160233489,1.41027209908,1.36584087325,0.883036264924,0.803075042113,0.843906749739,0.701121062774,0.426625739452,0.335214366591,0.438416497734,0.58539159372,0.643598563992,0.576329712452,1.16537399472,1.12898260656,1.31310233373,1.41109599521,1.37081490686,1.23648894642,1.07085281343,1.18646701952,0.910652799269,0.869993236248,1.41606550702,1.64844716705,1.78191231395,1.52089109507,1.53329872144,1.58140856926,1.62046635907,1.8710972439,1.77008084311,1.3967733419,1.65401137452,1.5222646758,1.88623183657,1.98914959028,1.58909886389,1.73091366924,1.48698678609,1.5462871771,0.557980728209,0.598721761386,0.852512473315,0.753025665938,1.96630264159,2.10354115251,1.90359995656,2.43919181086,2.31774348015,2.32697875859,2.58920210037,2.00976605618,2.15946094387,2.18856206256,2.0551523511,1.88930233392,1.87127353752,2.77209248523,2.64466499815,2.70386153142,2.55246513174,2.45530368961,2.48833698897,0.684572258814,0.580040026572,0.419923108273,0.395615811816,0.893912057552,0.783783426547,0.531938716315,0.658400460486,0.57929318602,0.743935139391,0.823540196158,1.83390183046,1.69443023228,1.67337979615,1.79451062183,1.95724805639,1.93892667581,1.63063917333,1.73934106297,1.68395976576,1.52575120389,1.41571472184,1.46631404084,1.93144906618,2.02083275799,1.94579115163,1.77443313635,1.78623096889,1.70297033884,0.692973286945,0.685539930114,0.953129174065,0.834007320236,0.949800272898,0.824351613896,2.20172683575,2.46103018463,2.34899988027,2.59562178478,2.65512258381,2.71775677311,2.45312997451,2.49591691427,2.41137277295,0.809827908358,0.646774873439,0.586382804607,0.708095373932,1.00828756864,1.16314895266,1.28199249991,1.34663421161,1.29742609087,1.13758170663,1.04461891843,2.14953935689,2.00532184898,1.9211780992,1.98922021007,2.23015294664,2.3858308471,2.16701864746,2.24487050544,2.48845378061,2.40713436997,0.850596996327,0.895690384084,0.992532055449,1.06150034358,1.2687454915,1.12762840857,1.37909861426,1.37803186572,1.25560947976,1.12094523251
    
};
const double THETA410[NST410] = {
    2.9837431682,2.40619034425,2.22899884976,2.42010341856,2.58663159374,0.546173902807,0.459303944287,-1.19926142814,4.64525696982,3.22218314742,3.35305779021,-1.47924550431,-1.37335227363,-1.16364269032,3.16628180938,1.47113485741,1.80737706364,1.59779274007,3.23667428927,3.11894734528,3.38156741894,3.41466447476,1.9775203127,2.97236961748,2.12504050577,2.23972689492,2.38800577825,-0.313903964523,-0.0613687240967,-1.20979759425,-1.37534818035,-0.257667629864,-0.234262057121,0.223223666592,0.0464667477931,-0.0253571411146,0.0525034027599,0.408708052318,0.251725550113,0.201840848801,0.2981795423,1.49382565854,0.770526172409,3.83138885464,4.01737549118,4.14334492753,-0.989347477331,-1.42773274503,-1.56645728587,-1.35098156629,-1.29804197514,4.40225995612,4.32212963588,4.5979970417,4.67724606112,4.41350389169,4.57610792061,3.63191851812,3.7934796215,-0.874486432958,-1.00534131185,-0.843684635847,-0.991982900044,-0.436195981689,-0.58553107827,-0.551467000488,-0.415787464308,-0.711174017051,-0.725138765228,-1.33323413534,-1.5267506627,4.62649777664,-1.11695032666,-0.802933252336,-0.967712082397,4.44825450759,4.09313513269,4.35386783935,4.18987890142,4.70595950785,4.33715603018,4.42574715021,4.34519376357,4.56181022241,4.41412932318,-1.19811506142,-1.41843667112,-1.4409217119,3.03751118982,3.30025202345,3.55530838217,3.49385280963,3.94967078424,4.11284020147,-1.28218775526,4.48663284158,4.07079843171,4.2828233929,2.67104042966,2.97703121514,2.6066668063,-0.0408785400594,-0.188738661302,-0.330484620367,-0.208569590762,0.31295858409,0.485780597538,0.557752786762,0.603360611145,2.46875287155,1.99307981006,1.77978504681,2.43767879992,1.94154791133,2.19771331714,1.26627760785,1.57126676712,1.4921811997,0.529636514932,0.675516037982,0.847251990341,2.0751022269,1.89169324847,1.77310490149,4.12135280356,4.20199639138,3.49370496065,3.47978886769,3.73608980021,3.61474420429,3.90203038447,3.95912420423,3.74822461155,3.64088062052,3.00935967827,3.29410868677,3.01665108375,3.14330243889,1.9366117951,1.83489976472,2.24523534636,1.71333493716,1.86838302354,3.08309368249,2.95089072321,2.66541832444,2.77132245975,2.79821111015,2.51117037093,2.61151713934,2.48424339177,2.46344329912,2.40753120408,-1.03993378389,-1.07380052783,-1.18414254499,0.370454929481,0.332537105597,0.930381105672,1.36484088638,1.00444268735,1.09408375646,3.06125645611,4.02570699056,3.90362657227,3.51911835928,1.63579231562,2.64974253733,1.4802757776,2.48976391893,0.00631890973032,-0.0621313854439,0.241665333323,0.0715307907066,0.434533727164,0.692519882795,0.340149737001,0.25209458791,0.546832003581,0.704541395524,-0.269847296575,0.336281223415,0.609758088592,0.664797667101,1.32246797858,1.20407739687,0.941611890906,0.975090244391,1.55376957215,1.72278039353,1.77464628131,1.66205129429,0.673000437169,0.515266180308,0.455888623009,0.552226272664,0.621699470701,0.72804810764,0.6707670527,0.886911433177,0.990529283631,4.63827621666,4.6763928616,4.57320052346,-1.13417972566,-1.29326944021,-1.43581421169,-0.874630115274,4.60090507231,4.19074055572,4.54105766048,4.18976706276,4.09079395475,3.98574711964,4.12579830656,3.88536730907,3.92400185883,-1.08144023816,-0.290511882345,-0.820827123749,-1.25936770734,4.49180226533,4.25526114653,-1.5481600191,4.61910718462,4.37594720296,3.99595388968,3.79139365232,3.50180177545,3.92089988917,2.72917891691,2.75725059561,0.326836490266,0.061637847864,0.241113156561,0.367719237259,-0.630930341958,0.561325108482,0.240508187947,0.270014844351,0.83323044637,2.29057986339,2.12058634389,2.20814767838,2.32842389524,2.05097937878,2.00376003751,3.85301652415,3.91564952066,3.79515277094,3.61687850876,3.573473061,3.68692532452,2.69400297011,2.84849752905,2.55992787647,2.58566650989,2.8688869731,2.73991197203,3.31130679346,3.1510325754,3.12367006737,3.30873979215,3.4751653386,3.50083746244,2.1066233498,2.53625440167,2.44033623093,2.83761504966,2.71841340211,2.31182510476,2.19542843845,2.14820743173,2.28367382195,-0.562700309747,-0.404974781129,-0.761281514658,-0.826055078013,-0.688424454078,-0.342849972729,-0.0398856530142,-0.149918692181,-0.402056482521,-0.631052468897,-0.131060922325,0.029177567406,-0.165234928549,-0.0353736418988,0.12970143971,0.158367140469,0.836655818508,0.944414062797,0.871238230225,1.03500255277,1.15531628835,1.50112584152,1.44657557236,1.40683892637,1.25430429326,0.934130871011,0.774161214433,0.81308151595,0.714173791146,-1.39369572818,-1.41777913391,-1.49788245662,-1.20964706014,-1.08623975124,-0.470461819171,-0.492603095082,-0.602579754255,-0.743167604197,4.04843620241,3.7727978306,3.85912253365,3.70959373106,2.91636491195,2.89795367643,3.07599725811,0.113013014077,-0.019508304982,-0.227601017478,0.0319228052722,-0.511166801204,-0.485264935045,-0.303035638948,-0.205522373214,-0.27826556799,-0.407280971984,1.06079234054,0.864916590209,1.43570405353,1.3943511884,1.16922809852,0.976403114042,2.15221008327,1.95174820299,1.99047191255,2.34933827555,1.91695489667,2.54376658603,2.52610927858,2.40556807116,2.83236219908,2.91367901679,2.76978973616,0.974456114832,1.03468809016,1.19146959722,1.28776983139,1.06656874791,1.22518423123,-1.26724795699,-1.16716523887,-1.01728743961,-1.00356833879,-1.13046658536,-1.24573257005,-0.93020441913,-0.798053957018,-0.654608654186,-0.90493450921,-0.641110061501,-0.759141559473,4.42083903302,4.18022981895,4.37294003615,4.49584265768,4.17705155655,4.06963370333,3.04705239164,3.10730372207,2.97901981667,-0.259553798775,-0.777883808031,-0.456091642304,-0.365173237141,-0.789733181177,-0.595945756372,1.74538133682,1.72889404508,1.47935483665,1.32201064106,1.15854682783,1.10539210198,1.21074709542,1.89000281801,2.02331941304,2.03993631294,1.90344784004,3.20965884447,3.50017530502,3.35615913998,3.21759067844,3.68799735986,3.71814115311,3.51566298287,3.36291510277,3.52223961718,3.33994765108,1.40522714442,1.59189348192,1.3143232722,1.59242212643,1.73821907671,1.73373541572,1.62661719098,1.47892946459,1.38349580531,1.43165172092
    
};

const int NST596 = 596;
const double AREA596[NST596] = {
    0.0207418467233,0.021201950136,0.0218438654825,0.0217732927175,0.0221207973113,0.0201131008696,0.0203860530267,0.0209902556852,0.020508597112,0.0218105913961,0.0204798331283,0.0210479448125,0.02036959506,0.0211322163962,0.0213817298685,0.0212982959931,0.0211217750273,0.0213850109292,0.020441456647,0.0205447429056,0.0219673609047,0.020860910778,0.021640949461,0.0214113338626,0.0211028499496,0.0212318416095,0.0212735269132,0.0207806229143,0.0211703877243,0.0212552478533,0.0214813169977,0.0208663003006,0.0202065805811,0.0206930988773,0.0214787050283,0.0213728115806,0.0218785045406,0.0214461603282,0.020130378224,0.0221161865295,0.0206987692975,0.0215051539397,0.0217491700731,0.0218951799977,0.0202090651616,0.0212423274931,0.0212391153069,0.0210388860234,0.0250662157312,0.0213480891419,0.0209255316251,0.0218232953501,0.0198289127188,0.0211601384457,0.0211627300811,0.021664693345,0.0213748932633,0.0215525188781,0.0211633010486,0.0206516372086,0.0219123000519,0.0208046258256,0.021658860122,0.0207221290126,0.0202920103278,0.020156315849,0.0202087370285,0.0214632032687,0.0213915763145,0.0211147062941,0.0210158042314,0.0216834294434,0.021338371248,0.0201909128189,0.0199554707913,0.0208187807307,0.0211547302151,0.0220061689785,0.0203837657494,0.0219940685475,0.0202900844403,0.0201199840093,0.0208795601221,0.0203938627049,0.021844015416,0.0206600737104,0.021817609096,0.0216010885642,0.0205298903038,0.0206330582633,0.0206093977008,0.021830366254,0.0206959033684,0.0216138154863,0.0206170192284,0.0212564080689,0.0201126658455,0.0200899196234,0.0226014849418,0.0217698984954,0.0205815538055,0.0211516633538,0.0210243457752,0.0214192369633,0.0216518618548,0.0207378311901,0.0209453332386,0.0214574934937,0.0208411742325,0.0207048053762,0.021078135076,0.02133997033,0.0204749535507,0.0201349976221,0.0218844023492,0.0209210009207,0.0208031238994,0.0217649794521,0.0212197605595,0.021199123532,0.0211494931332,0.0211906041195,0.0209108484973,0.0220244088015,0.0205549852569,0.0210821893261,0.0216330502495,0.0211959439981,0.020785633518,0.0212415104961,0.0210603219935,0.0204974688762,0.0217780214715,0.0210977116444,0.0209727440926,0.0206269628012,0.0213499633192,0.0209569096193,0.020883064314,0.021359164437,0.0211564392895,0.0210635684069,0.0214502824725,0.0205188699007,0.0207409241181,0.020862684862,0.0209327555545,0.0214778383725,0.021133414418,0.0215579482905,0.0205679573015,0.0213455797792,0.0210311442513,0.02176870169,0.0212796765678,0.020648454705,0.0212926480985,0.0214391372035,0.0210703172497,0.0212942298901,0.0216945918486,0.0214948855878,0.0215030640078,0.0206321077822,0.020672778477,0.020863357779,0.0205406948095,0.0218141607065,0.0206741354147,0.0215479350273,0.0204634808851,0.0210982262792,0.0218407679983,0.0204241267557,0.0201218967815,0.0209788822376,0.0214824040415,0.0205377664873,0.0210534639703,0.0210424842152,0.0208641443671,0.0209028667192,0.0210234407763,0.021312051589,0.0213605961855,0.0207039405113,0.0206243579197,0.0216704010074,0.0206150023132,0.0218558898549,0.020540428959,0.0202912538541,0.0197941548104,0.0211369718065,0.0210663427603,0.0214144861662,0.021762901545,0.0212048291399,0.020967545314,0.0211800934732,0.021295652311,0.0211299021758,0.0212704070806,0.0208869366673,0.0208667709585,0.020874990895,0.0208121331011,0.0216065995881,0.0205298406802,0.0204564447156,0.0217263149416,0.0212079768379,0.0212815653793,0.0210296140663,0.0207588696376,0.0209189556201,0.0216919732292,0.0207489553815,0.0204067954922,0.0199048115822,0.0222200350448,0.0210116854451,0.0206142499328,0.021480588325,0.0203331983656,0.0211010497958,0.0212957771598,0.0214545984486,0.0205081747172,0.020670705248,0.0218712109857,0.0202615956576,0.0210518589325,0.0215918127593,0.0208831652388,0.0214032432461,0.0204362182033,0.0204195855663,0.0204010500316,0.0203964802398,0.0203040067456,0.0208515000933,0.0216447433341,0.0206809532901,0.0207117940677,0.0217202290861,0.0207456385724,0.0206832131156,0.0211327509732,0.0213444473463,0.0203826996685,0.0207446529033,0.0215719389215,0.0208455729093,0.0214196866494,0.0216189994907,0.0206235925823,0.0210709321712,0.0213027052198,0.0205450346838,0.0217910718146,0.0219793032797,0.0199174139448,0.0206709073495,0.0206684633531,0.0212291318808,0.0209276238288,0.0209354947881,0.021401773734,0.0209562085105,0.0213820518862,0.0198772489766,0.0201865613677,0.0211656011542,0.0205032043417,0.0217070724081,0.0206238555889,0.0202134266703,0.0205688950833,0.0202517515533,0.0218209443672,0.0220253297558,0.0210282218702,0.0206997322882,0.0214847205408,0.0212776280569,0.0205355355379,0.0209160355809,0.0215674019675,0.0217692509908,0.0207424517256,0.020740239109,0.0217252031075,0.0217418184476,0.0207665444631,0.0214117606414,0.02076082615,0.0205668539531,0.0215773968024,0.0209563309619,0.0205222521903,0.0201094680781,0.0218945397651,0.020584560879,0.0215784303212,0.0204219732554,0.0217308761006,0.0210510947189,0.0211640791235,0.0210409537721,0.0211551008733,0.0207725436465,0.0212373659923,0.0207093437287,0.0215964723895,0.0206731039481,0.0212773129352,0.0209609086336,0.0207617080963,0.0215332578891,0.0204779698338,0.0221042642324,0.0203987454758,0.0211364550564,0.0208446299976,0.0214744723703,0.0211509771786,0.0206179633594,0.0206993067091,0.0217122546902,0.0213212831945,0.0213697630531,0.021160343545,0.0210859865135,0.0206737055882,0.0217485837519,0.0206492129257,0.0212086430471,0.0205661733939,0.0215401377881,0.0214003879581,0.0210941656594,0.0208482702189,0.0216781914942,0.0206135596337,0.0216214773855,0.020869202357,0.0216294182743,0.0210187622978,0.0214810750615,0.0202470277924,0.0203811679926,0.0206755235836,0.0200916795275,0.0205826106231,0.020647435137,0.0206270464162,0.0218247330784,0.0217406686409,0.0215379691107,0.020860560772,0.0215121206001,0.0207946391322,0.0210453083964,0.0199256756289,0.0205552689397,0.0207019061094,0.0205886031534,0.0216287631875,0.0218554154658,0.020914289404,0.0216577990755,0.0205827174499,0.0212875586897,0.0206481886434,0.0211711164459,0.0206416626521,0.0212780780056,0.0211721532959,0.0204958396871,0.0213795364774,0.0211044660566,0.0213737313942,0.0207482169846,0.021701924445,0.0218169045909,0.020519433254,0.0210417146416,0.021255816412,0.0207879312156,0.0213590407103,0.0207862458441,0.0211916453854,0.0208614177589,0.0216200644277,0.0209331523072,0.0213862200112,0.0210703024863,0.0208984280014,0.0208539361922,0.02147103059,0.0210185131117,0.0217308340556,0.0204100607272,0.0209035696298,0.0214267373132,0.0209170840114,0.0214929970712,0.0209165052665,0.021489043737,0.0210776649502,0.0206077855555,0.0218748449885,0.021420458558,0.0206790512642,0.0216794836784,0.0204290372996,0.0208208103773,0.0214789786871,0.0201466637669,0.020527888285,0.0241279987666,0.0201251888742,0.0223808542966,0.0203139167625,0.0209070284843,0.0210048080616,0.0198959841946,0.0217151707294,0.0216703558263,0.021132682549,0.0214869327192,0.0209047883715,0.0208992090286,0.0215024570862,0.0213456085762,0.02120245456,0.0211521498078,0.0212664669032,0.0212673630774,0.0211473536224,0.0209310071578,0.0215314716255,0.020753158517,0.0215357423812,0.0209789941711,0.02017676779,0.0214919485027,0.0206327062931,0.0216306666663,0.0206718581538,0.0206151395307,0.0217901117801,0.0213205767553,0.0208663776861,0.021520928087,0.0213464402254,0.0208890226034,0.0210999226799,0.0216172510852,0.0209980682253,0.0207048819924,0.0212552281529,0.021165862964,0.0210737448675,0.0219084479488,0.0222956338005,0.0207931697646,0.0212921134531,0.021574366499,0.0208468067836,0.0211513337799,0.0212569683059,0.0211979854134,0.0210773674546,0.0214227319763,0.0207131737504,0.0211462614827,0.0208396563777,0.0215929241589,0.0216281397662,0.0209438335553,0.0215317096111,0.0208612502321,0.0205627836141,0.0212451178947,0.021280055632,0.0212040622042,0.0207005302963,0.0211010354682,0.0208747133587,0.0213915039848,0.0215225967828,0.0208716893193,0.0209662750115,0.021436759915,0.021616190962,0.0204829080489,0.0206325737659,0.0209525565733,0.0214752511621,0.0215969292876,0.0206669558721,0.0214264086728,0.0210032192543,0.0211784562129,0.0212406854986,0.0210578282687,0.021259471401,0.0212096364106,0.020943567449,0.0214757926981,0.0212620737992,0.0212156499948,0.0212091701733,0.0210762892179,0.0213121779658,0.0213363160825,0.0211912982648,0.021478587737,0.0212518441258,0.0212314183645,0.0207420380776,0.0208971452902,0.0202564170097,0.0219377043065,0.0205765195728,0.0215231820683,0.0215188711339,0.0204393938766,0.0211922412605,0.0211131528247,0.0218709385654,0.0204602810333,0.0214750338543,0.0199850603361,0.0197490609137,0.0214542663378,0.0246783417771,0.0203614225401,0.0207453662452,0.0214009013249,0.0216755866297,0.0210389380799,0.0207319113075,0.0215000425062,0.0209189149183,0.0207654187421,0.0210151048441,0.0212658558966,0.0204502502357,0.0217864672063,0.0200870459681,0.0221297305001,0.0203834747527,0.0212064121188,0.0207772099139,0.0215381842121,0.0207661215139,0.0217436159641,0.0205544653071,0.0208710508032,0.0219432935451,0.0199727946134,0.021250582563,0.0208922263608,0.0212567810996,0.0206732708887,0.0218831289338,0.0205911140836,0.0218271630055,0.0202705368956,0.0216144684835,0.0203731334772,0.0239316064948,0.0201628944461,0.0212399528354,0.0204454294346,0.0217395388934,0.0202848437942,0.0220188291106,0.0205863305868,0.0202972819792,0.0198929738779,0.0222577525772,0.0214443509464,0.0210664386242,0.0210282946161,0.0215184330406,0.0215768636781,0.0209416712853,0.0206067920161,0.0204333384524,0.0203415871417,0.0207553169186,0.0202440030227
    
};
const double PHI596[NST596] = {
    0.927308635196,1.17223773007,0.135468336317,1.05741612615,1.32038937752,1.66465784303,1.70893057935,1.43484509412,1.10079756977,1.22453630263,1.24813462008,1.5040410818,1.84697176124,2.12338680198,2.0959145497,2.12155649852,2.00647264025,1.99410637066,0.0592679544769,0.645809940063,0.546640132369,0.940838509277,0.86640676925,1.3510551601,1.22025803915,0.71876568094,0.664046356302,0.259510715902,0.848612419087,0.737360561062,0.472236816019,0.362100208226,0.180112497766,0.203064714574,0.676824085613,1.03923054871,0.18136951243,1.00725138174,0.590034517691,1.9615370692,1.80993384082,1.93706261575,1.71490381639,1.7859090614,1.69918284462,1.65481719744,1.77369837351,1.87672263031,1.39030098694,1.61458696233,1.64169591944,1.29203276599,1.39711493172,1.52191109952,1.5085672189,2.05913661908,1.91735250152,1.69024135211,2.02831580199,2.10416965819,1.56878344253,1.26015528606,1.07078022662,1.1279816039,1.12319889009,1.25304567614,1.28844466466,1.91723785972,2.44859873794,2.51544060603,2.04528324352,2.2968738542,3.02440464313,2.47625996875,2.41774510566,2.49928626914,1.52749296368,1.54873639593,1.46572178021,1.34557017459,1.76389107753,1.83737409868,2.06925833522,1.87407934867,1.97713324676,1.8302091547,1.90064796121,2.09066605858,2.02837384034,1.69816110091,1.51245708636,1.63937577753,1.61502367188,1.56735324783,1.7458676255,2.08765877503,2.07282830467,2.28278281406,2.17881325602,1.99371099554,1.90621961779,1.99593876559,1.916057961,2.01294117197,2.17567078045,2.21654769162,2.26208969778,2.3739694296,1.33255726362,1.45474805378,1.5484378779,1.5606235702,1.57965121719,1.36872216743,1.46786435639,1.72231032269,1.98220834893,2.62960529741,1.90065428686,1.68451475109,1.78537136755,1.67853617063,2.15030842727,1.94393119961,2.07073953137,2.15481460982,2.10164707067,2.01129772785,1.9976032002,1.90358656384,1.79429693692,1.78018750433,1.87617044682,2.21890609597,2.23307670705,2.67699173078,2.79992603144,2.22824394655,1.29315403939,1.27109025853,1.08889500987,1.20200283323,1.06195451183,1.153678577,1.3416054499,1.58891940604,1.36868451877,1.49092887314,0.0915570524386,0.183685651144,0.314278725683,0.86250102226,0.766886262642,0.635281537212,1.04735371308,1.14997950096,0.828579374829,0.898688928243,1.00977523724,0.887131555667,1.0867516822,1.06885110658,0.309632103689,0.280623246416,0.936894493636,0.708333096157,0.708602141411,0.590882748024,0.577216284341,0.69024249463,0.505799832108,0.55177228335,0.381800803117,0.309300759968,0.334314613661,0.567212414488,0.493703883805,0.379424985415,0.871125400772,0.76097525697,0.969596893893,0.959549972968,0.77055977096,0.833212337179,0.848353525934,0.973500403043,0.963089169481,1.02670386135,0.498660937099,0.396927778779,0.251105325216,0.80319268738,0.724561555135,0.513771658459,0.437733491888,0.638734942099,0.685428993658,0.504696601397,0.623981422711,0.776990047826,0.648024044681,0.71349701883,0.614190864826,0.808226626016,0.893732771338,0.951069140178,0.921063345107,0.863573946135,0.752991618773,0.717574310992,0.798625692952,1.87152712719,1.84057587097,1.72643037545,1.78108929644,1.98490345145,2.06567329338,2.17485670278,2.02197491382,2.22372014866,2.15140202226,1.51450018464,1.43720095925,1.41398636196,1.85890401228,1.73983041751,1.63713219457,1.87893572386,1.50544839222,1.39693946407,1.5278401354,1.57252876163,1.28790976641,1.27202198481,1.16438368818,1.0625299342,1.37107290288,1.51674190521,1.38821643748,1.57653923399,1.48777933343,2.06382267622,2.12027372582,2.24586202725,2.127534978,2.25452285575,2.31747854678,1.93891349473,1.76037222829,1.87277721304,1.69813461545,2.64659497544,2.68921075902,1.48833030877,1.33372225324,1.30761952766,1.14845325913,1.35624818055,1.27827149779,1.18331083378,1.10122085243,1.17900030943,1.18223489488,1.06386544641,1.07993699312,1.96388429039,1.86306528826,1.73314142841,1.74712027079,1.83096343245,1.94540941618,1.59356842917,1.48119361528,2.43681603994,2.25938164518,2.22621998999,2.3087867954,2.61063815049,2.83217224202,2.62441435305,2.70927335394,1.75417728012,1.62452658688,1.63370577942,1.73552241815,1.85946156249,1.86896496533,2.20450397756,2.27731802934,1.62358778232,1.65122072865,1.67887049206,1.59962223143,1.8304803862,1.9572855618,2.04151702545,1.78287623278,1.70919066936,1.80544405322,1.78508350375,1.66260997017,1.58931624217,1.56287101683,2.29298738408,2.20345366651,2.41323358595,2.43616208289,2.39475972512,2.4563135312,2.57335492589,2.46056950691,2.40297387107,2.59043714506,2.65292818691,1.31558836848,1.19406283579,1.41229915935,1.42590822501,1.29395646087,1.18582083611,1.69382081414,1.68097411628,1.56920004898,3.02306558142,2.88875378642,2.29640293316,2.26603818426,2.50483379707,2.30983077504,2.43011800431,2.26949879514,2.33370569881,2.44734398658,1.4187098469,1.40431725281,1.31946264485,1.21409023653,0.998648065889,1.16590426587,1.05279617395,1.66107064409,1.57003104711,1.26943832907,1.28885271189,1.1977819672,1.15263567897,2.0585474887,1.92864987689,1.81832943508,1.83592113691,1.91059272127,1.98583088928,1.7861040286,1.78051859097,1.90313848071,2.45875819903,2.58224185956,2.57868102125,2.45938562487,2.35147937695,2.34810732359,2.21182457675,2.0929817858,2.07617921272,2.50788786657,2.43428761752,2.30817721804,1.41029500107,1.43776097866,1.51118927056,1.56253889767,1.65999726543,1.63582141825,0.895105707717,0.978956034709,0.770253416156,0.748606419684,0.853455881001,0.958335449058,0.42068463239,0.192232486986,0.35289862603,0.245257764633,0.528044001432,0.358330989486,0.409711353116,0.306576926712,0.560789281633,0.680785241521,0.488286779265,0.559429891057,0.739098872622,0.68685450233,0.952798569047,0.96655238022,0.878171852936,0.761383044363,0.738793047334,0.743088023164,0.844061433185,0.842497165714,1.14041413183,1.05402917481,1.07904562028,0.921238014851,0.805393871357,0.800522251408,0.916674088641,1.0262154135,1.0259082706,0.569718570206,0.438401018781,0.375116925638,0.638434251958,0.546103808353,0.444733100574,0.462187790223,0.588943772343,0.682556245357,0.657730781891,0.943211767684,0.859753483586,0.894707631511,1.11221890117,1.00994973787,0.861887313178,0.992981754241,0.924353402862,0.830801834637,1.39213622076,1.162433267,1.21225043124,1.32770289771,1.3498598414,1.23610150381,1.1920716809,1.1278394493,1.21850067255,1.00672223449,0.979335549077,1.07450284114,1.86369982167,1.93628159398,1.87896862188,1.75120777298,2.5875014552,2.37459254074,2.47002458641,2.35278858261,2.98812894527,2.80869673361,3.02261482888,2.90147461501,1.54384195569,1.67678194846,1.73268012225,1.46664458702,2.08920706635,2.00534918278,2.21385017428,2.03682332389,1.84200293396,1.88682979339,1.80340649409,1.68496040635,2.62535542863,2.6850292006,2.67970959725,2.79636516836,2.88611626364,2.82167490488,2.16874242596,2.25325476065,2.38185148281,2.4190760753,1.38809649486,1.46954053667,1.25691203598,1.81167175945,1.86474524605,1.88917127666,1.99581172906,2.07535013989,2.02084211958,2.33029015352,2.32294556125,2.12066990547,2.21962536552,2.11074552484,2.20220723443,2.85666578985,2.79099146919,2.60110334416,2.50328145448,2.18948942708,2.29644183791,2.08807274775,2.3048767833,2.98588711506,2.85286150862,2.78300760919,3.02711897235,2.55239219611,2.54303199278,2.63796799064,2.76380204277,2.76691686901,2.65198793939,1.46431119668,1.24695213502,1.59821314193,1.58700514664,1.49072494038,1.37177926276,1.36144813171,1.46931736771,1.51293764122,1.48595822776,1.57779130712,1.69502860809,1.72341563414,1.6328566329,1.05390777585,0.932667055512,0.993842529601,1.0797271028,0.869979961476,0.833353813385,2.07646794907,2.19687320273,1.97414417676,1.96363899339,2.19991760484,2.08975480348,2.17555821767,2.2882120739,2.24742814291,2.15426784757,2.38790790046,2.40639227873,0.538077008797,0.631225402822,0.422228872601,0.628222082825,0.416209440876,0.528550831863,1.13864813018,1.15161823658,1.35486689724,1.24539169369,1.36818621353,1.27137000654,1.23845806969,1.20402774578,1.29959644404,1.42276056265,1.36229246333,1.4519442854,1.65735288484,1.71380525508,1.63957082912,1.52488266536,1.45170184657,1.51060882605,1.2127048809,1.04443055156,1.08244313242,1.49432777388,1.41897362257,1.29385003972,1.44145787585,2.48881784416,2.60685680106,2.40161133997,2.43821633847,2.57685003169,2.66292409342,2.68404775747,2.81271423494,1.12706303651,1.24584686201,1.31877252054,1.2691968498,1.07235716226,1.14192911622,2.49158242461,2.60141674888,2.40571833322,2.61738875048,2.41269786557,2.51233223378,2.71863379079,2.71099725468,2.81569399097,2.91819854702,2.83164819419
    
};
const double THETA596[NST596] = {
    0.942166650706,3.38270065383,-1.38324398335,0.95126396881,0.924889777421,4.20768646732,4.08253296898,3.36332080138,-0.147165166233,-0.183287958206,-0.305129582509,4.62709647551,-0.682661821125,-0.311362009689,-0.602972544308,-0.161453305656,-0.0835551115401,0.0585071118829,3.66532822379,1.88279984208,2.03282129726,1.21491764993,1.08086842032,3.25943847034,3.26479344633,-0.401699704169,-0.604266455985,4.6631874612,-0.748743757699,-0.782473117505,-1.44708461237,-1.33931209036,-0.661667753935,0.0398201680366,-0.193540568921,3.39249004666,3.4418055836,2.7155949106,2.24042140875,2.38885030346,2.21018271106,2.25221407652,2.29424011849,3.0861253808,3.00408438604,0.108633471278,0.0499597187199,0.121564349669,0.625399919123,0.482806843248,0.233655909523,0.41168224511,0.472673210181,0.286608965454,0.409207651665,1.48074284619,1.73053666346,1.69573482814,1.74696907144,1.62101324052,1.45383811552,1.05256313408,1.19661012197,1.07133678341,0.83658440182,0.828056186922,0.693164970837,0.992859142747,1.22631704653,1.4108147285,0.97347655481,0.925180812847,0.353156641877,0.710735317192,0.894834289538,1.05064747986,4.37277236102,4.24151590502,4.14605255542,4.1810943955,4.28855722984,4.07684782235,4.13176331483,4.20923559538,4.24774537283,3.85579019302,3.97083980735,3.86593046879,3.98527283293,3.86768624601,4.01749689159,3.98801993379,3.23924325853,3.35013886625,3.21386856361,2.601432199,2.44828765381,2.41650772218,2.35231569017,3.1309939598,3.03781274312,2.67791773611,2.89357337115,2.83022504949,4.17231610174,3.87922302005,4.04174297366,4.0850487193,-0.0985988918593,-0.148550524925,0.0417873601359,-0.082425574488,-0.338572477038,-0.348922809732,-0.277950187959,-1.51415959024,4.39718222935,-0.797717723181,-0.14844903619,-0.271778441176,-0.079590853584,-0.143980215312,-1.15511144846,-0.772731071124,-0.741332362732,-0.863469394927,-1.00970208933,-0.368176516371,-0.508431680263,-0.285338543159,-0.34288195808,-0.47421758381,-0.555201038914,-0.558739338552,-0.404533841776,-0.540502672583,-0.416867852903,-0.0892498711617,2.51533710068,2.3860739948,2.5920087106,2.61983956211,2.43966642072,2.33976620406,2.17224028451,2.25438588996,2.29838795862,2.33823888897,1.43579507908,0.617248909072,0.769242425713,1.88263340251,1.96964624733,1.67479561292,2.86736761948,3.14338246202,-0.407179256243,-0.246141195771,-0.264697498435,-0.574619615943,-0.00890028630505,0.274693162423,4.26488042193,3.82390996429,-0.877512031451,4.71034500711,-0.981405554344,-1.05161775702,-1.28724620687,-1.38121936263,-0.879947494733,-0.626290844289,-0.970831010681,-0.701191065661,-0.0133436557362,-0.153313779763,-0.38078166915,-0.362547335015,-0.0746059394592,-0.0307915942779,0.0424641397471,0.193120486923,3.13365233496,3.27790093015,2.98480490999,2.99749883472,3.2682427248,3.13692038268,3.82805169583,3.66172002489,2.9547003915,4.36203421266,4.01346201736,4.09594122771,4.3090981507,4.15202420972,4.3509423384,4.56230129378,4.54556535167,3.44198754955,3.49316835416,3.81932762169,3.7092842598,2.82654211243,2.68953353891,2.39264827747,2.22658479093,2.5169270199,2.46902106701,2.27582156265,2.15837895665,1.98543227109,1.84919293271,1.82663673728,2.08416034649,2.0181480119,1.89923967717,1.92781238402,2.15950551995,2.08338708356,2.19678525244,2.46061541763,2.6707438166,2.54900083387,2.46750602828,2.4166782628,2.49817037254,2.60434325838,2.91778803413,3.1466702388,3.14017114237,3.03184583678,1.90986884607,1.76952936461,1.68245789259,1.74227223403,1.71148331965,1.55706505787,1.57686509425,1.67628871643,1.77046034866,1.22378194836,1.09225714179,1.08169806947,1.35473328817,1.36590720088,1.22400283947,1.46807623342,1.57925898556,1.59103272554,1.45664221266,1.43459033093,1.69069357955,1.34482533777,1.14652712841,1.49260608941,1.304453633,1.36281557837,1.27326116994,1.53817361764,1.44031728909,0.482164634099,0.611451886891,0.414423196331,0.70011060315,0.341108715152,0.25522673031,0.435180587961,0.307539472121,0.523035717125,0.482618890432,0.603794799959,0.681879235106,1.55905710599,1.80324262839,1.64671480641,1.51919421152,0.727253857829,1.08257422191,0.988837180355,1.17635954512,4.40750806623,4.57783902848,4.45686411073,4.6505248455,4.59898007193,4.47567004021,3.60115359216,3.73982693563,3.77294922402,3.44644848509,3.65623057528,3.56060527402,3.30318010658,3.26971434631,3.37097634581,3.42561653785,2.8715962836,2.81117111754,2.67271293814,2.61848713648,2.81768647603,2.7017377705,2.59510816009,2.68341685697,2.66288977063,2.84994310311,4.2797891496,3.92836032411,3.96639207036,3.56875497964,3.74242709182,3.54467551237,3.76040593277,0.0228471244221,0.0745335954451,0.216880328481,0.0959639686318,0.277124805812,0.209491022372,-1.27431341349,-1.14504671959,-1.08460999022,-0.640258235264,-0.689652309689,-1.34543319613,-1.17152782385,-0.817151897286,-0.681809183062,-0.648722092328,-0.85008267055,-1.01294950807,-1.01394599418,4.41336759874,4.54768522907,4.31827980526,4.36357271727,-0.563729085371,-0.418270152025,-0.415355455772,-0.537139635537,-0.473615790368,-1.5510970432,4.59595223251,4.50752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   
};

const int NST610 = 610;
const double AREA610[NST610] = {
    0.0207677809853,0.0210747716537,0.0206091699039,0.0202578252173,0.0205397776616,0.0208527439447,0.0204630724571,0.0202294860657,0.0211561416615,0.0208033913821,0.0203323388747,0.0207810350004,0.0201480008343,0.0207052864878,0.0201120589415,0.0209451480664,0.0210908208621,0.0202013109455,0.0202710790103,0.0198777876135,0.0204812884273,0.0207593996023,0.0200147292643,0.0212932341567,0.021096945645,0.0214408282899,0.0200136973805,0.0210245443352,0.0198200285058,0.0212877706111,0.0200790222703,0.021452264645,0.0199379861363,0.020167979164,0.0205696499718,0.0206985368707,0.0211151411668,0.0205850863504,0.0207789836225,0.0205298880571,0.0208127736778,0.0209681371254,0.0199979928524,0.0209388128051,0.0202202916767,0.0209872541622,0.0208005760986,0.020230019936,0.0215132975506,0.0217323457722,0.0197455743928,0.0212135724651,0.0207577934218,0.0216187682097,0.0206784467359,0.0207860186924,0.0206847693345,0.0205780056078,0.0197579690832,0.0205719089737,0.0202199839176,0.021021302343,0.021120411638,0.0202225190974,0.0211576908584,0.0201075424013,0.0207103506101,0.0201087631136,0.0197949082029,0.0209709982348,0.0209827957181,0.02036733974,0.0209037230934,0.0205685450034,0.0203517263263,0.0207273507237,0.0195916055915,0.0199571313253,0.0203819402201,0.0208645285704,0.0205965025775,0.0202542528056,0.0205370861334,0.0203596738013,0.02094749365,0.0217125525441,0.0213846782792,0.02052319795,0.0211185788681,0.0198649415453,0.0201815815903,0.0199398488516,0.0211138073257,0.0204495676098,0.0211191185607,0.0205033575853,0.0205200332826,0.020833532471,0.020246286595,0.0203979433534,0.0203659189971,0.020606632014,0.0214317616603,0.0201989686938,0.0200817179531,0.0212298675508,0.0201136179691,0.0201317506146,0.0206914254676,0.0208415969594,0.0202063651925,0.020833201621,0.0205263726401,0.0205747221332,0.0206394111703,0.0208350460189,0.0212321643216,0.0202240365946,0.0206545582027,0.020190716284,0.0200094273577,0.0212074245061,0.0197691968293,0.0205565414405,0.0197055424117,0.020711956953,0.0206797087767,0.0206186442765,0.0208007818629,0.0205247106702,0.0207111392458,0.020725284602,0.020480552254,0.0211625893784,0.0195386286093,0.0211519863253,0.0197128047629,0.0202273835674,0.0202047579594,0.0203208795583,0.019739467431,0.0215982191363,0.0196654034222,0.0201485881531,0.0211445386391,0.0200442622492,0.0211734950505,0.0205832043275,0.020836785601,0.0213581327057,0.0204323620222,0.0208987179756,0.0204790674308,0.020130410291,0.0206673443003,0.0207877083504,0.0200989093916,0.0216079560069,0.0214773474932,0.0197501114136,0.0202233666005,0.0202013166838,0.0197383368064,0.0211840570267,0.0205136246519,0.0206972855286,0.0207736490056,0.0204176477329,0.0210434561922,0.0204711977185,0.020114074343,0.0208471539924,0.020978753829,0.0205369020701,0.0207725199346,0.0205444065391,0.0207589815213,0.0202307966568,0.0195419632385,0.0204204345962,0.0206656335852,0.0209527818157,0.0208177003511,0.0199573864588,0.0202978202047,0.0207628403831,0.0202639721097,0.0209540914584,0.0202714140192,0.0210754239368,0.0212469427623,0.0203570200233,0.019857533814,0.0209830145473,0.0207637042707,0.0196728979126,0.0198073962493,0.02006660405,0.0197416120091,0.0195740297756,0.0196261494201,0.020229727592,0.0212181812832,0.0201752239799,0.0211803704674,0.0208838417914,0.0205445549365,0.0207762080046,0.0202533913974,0.0202140646281,0.021265597738,0.0203788595481,0.0205917287887,0.0206907921961,0.0208154282249,0.020945747319,0.0204887060478,0.019871419065,0.0198605125801,0.0217273408472,0.0216211102463,0.0210504837365,0.0210501781573,0.0197270939691,0.0195250695634,0.0200162680775,0.0204510478465,0.0243187525108,0.0209255229038,0.0210403494687,0.0214424283582,0.0206763495356,0.0204510167464,0.020978691857,0.020583768876,0.0206669512471,0.0203851399995,0.0209917316227,0.0207516610839,0.0207834772767,0.0208166730208,0.0205525482725,0.0198088365618,0.0199580969325,0.0210805094521,0.0192013758928,0.0213602017428,0.0210412335808,0.0207105460142,0.0203677967355,0.0210124223874,0.0209302435051,0.0212493077573,0.0203492770895,0.0202396271736,0.021123862135,0.0202305903818,0.021360940537,0.0200575836881,0.0208285591074,0.0208306019255,0.0206716299851,0.0201077964663,0.0198585799525,0.0213834297647,0.0207628160738,0.020743833842,0.0203987724037,0.0199648900088,0.0194389621524,0.0208250415798,0.020316055762,0.0206017642622,0.0206598789725,0.0209051329652,0.0208935023614,0.0205449602764,0.0206467371462,0.0207422468755,0.0208339222749,0.0209085188037,0.0204773037695,0.021306590143,0.0199808186429,0.0200091422145,0.0209172772676,0.0207283057056,0.0207602102717,0.0205278657199,0.0200383700445,0.0212220882174,0.0206905498621,0.0199379671655,0.0207559707219,0.0201280511878,0.0205533097965,0.0209000200442,0.0206762022234,0.0206588402945,0.0210463945502,0.021170589322,0.0209693590827,0.0204521176925,0.0197846162293,0.0216484684536,0.019903595555,0.0212136781588,0.0210708338398,0.0202580551751,0.0202691283126,0.0208748044818,0.0204232801379,0.0211161579187,0.0201373209773,0.020281696002,0.0211509484449,0.0202601497503,0.0208567909441,0.0204836964306,0.0198263322801,0.0204558719385,0.0197410675109,0.0205151695693,0.0202712751334,0.0208597901564,0.0207495297018,0.0205422959797,0.0201979951866,0.0209923246393,0.0202599855663,0.0203830865515,0.0211059848123,0.0200303803447,0.0208695149119,0.0205340823972,0.0198878896049,0.0215134500697,0.0206537543955,0.0205975833692,0.0208799837687,0.0198227119369,0.0207569142564,0.0208393598745,0.0209755078832,0.0209406795577,0.0197347754326,0.0206593556303,0.0200904858568,0.0212562508914,0.0209104137449,0.0205867015422,0.020473204272,0.0204571859174,0.0210939654758,0.0200602341252,0.0214342366515,0.0200757331095,0.0204358112019,0.0210200350047,0.0201748988299,0.0209688577725,0.0204457555492,0.0208974388539,0.0201563592242,0.0207627718587,0.0204538611723,0.0205631100086,0.0208730265267,0.0209614725605,0.0204111679549,0.0209755083781,0.0211594383275,0.0199089196407,0.021084943424,0.0206378682675,0.0208398933831,0.0206776458511,0.0207972426889,0.0202841542237,0.0204068395292,0.0209401485954,0.0202360991787,0.0210297831909,0.0208576762501,0.0203298993587,0.0203563918648,0.0207833075771,0.020548436593,0.0206704279946,0.0205484390304,0.0205880833422,0.0212276435483,0.020059184785,0.0207613323509,0.020031427011,0.0211267695341,0.020603962477,0.0205308698238,0.0203819774943,0.0202053594794,0.0213270609766,0.0214505643033,0.0198948634082,0.0200325145314,0.019829840412,0.0217554219822,0.0195834220421,0.0207659617522,0.0205662601955,0.0203999052423,0.0210043914624,0.0204489909096,0.020480794405,0.0203432777588,0.0209652242638,0.0198875060224,0.0200355383978,0.0209435877185,0.0206432298678,0.0199368834822,0.0204768324409,0.0217483101761,0.0213372062138,0.0209666539851,0.020342554713,0.019701060683,0.0235601257866,0.0192260138993,0.0212639225113,0.0211697715548,0.019478636594,0.0205406138861,0.0202444087725,0.0206478365624,0.0198250249118,0.0204185486423,0.0193123478314,0.0196666072187,0.0207062564945,0.019839372865,0.0204684687973,0.0210628000022,0.0217206918316,0.0199853945992,0.0208940582496,0.019667086008,0.0214693595792,0.0198803469916,0.0218769240936,0.0197369493672,0.021884165128,0.0195495716083,0.0206848062904,0.021133764553,0.0199957320606,0.0206724076389,0.0205042704551,0.0202670421371,0.020767808742,0.0205654833093,0.0204498976664,0.020487701463,0.0206559225101,0.0207699350036,0.0202156621039,0.0206961699766,0.0205359575984,0.01986758743,0.0208874222736,0.0199452352383,0.0210503615528,0.0201479712523,0.0207813477425,0.0198789827323,0.0215166257097,0.021347645334,0.0201265113859,0.0203563446896,0.0203001359391,0.0210678407563,0.0208210535571,0.0202868249086,0.0207593827972,0.0197371019207,0.0235967689255,0.0197761981649,0.0195295395137,0.0211507385832,0.020368764299,0.0208947369053,0.0206677598262,0.0207717397921,0.0205953314611,0.0198766419811,0.0199480440754,0.0198525122671,0.0200256565752,0.0203788271989,0.0213684182668,0.0199075587116,0.0208316081808,0.0200142595241,0.0203203552612,0.0212417459695,0.0206954341639,0.0206292664443,0.0204977186702,0.0208965571213,0.0204902433428,0.0208052573214,0.0204973194858,0.0210297361066,0.0210884626248,0.020258359635,0.0208779052136,0.0205639358696,0.021300896362,0.0202022720987,0.021337731307,0.0214280813621,0.0198553549236,0.0200765741969,0.0204233967932,0.0209063319843,0.0209989902649,0.0208428296366,0.0207910711173,0.0207791107456,0.0208936929356,0.0206430697669,0.0204225917445,0.0209360436975,0.0206412913202,0.0205810864582,0.0200491941537,0.0204246077246,0.0208931457016,0.0206446279579,0.0206979299649,0.0207686197975,0.0199156126268,0.0202003031917,0.0201460395894,0.0212866527455,0.0208687331107,0.0203629400377,0.0197238512867,0.0198248659962,0.0216122032373,0.0196667346172,0.0216351835577,0.0198751176212,0.0236738971628,0.0235865030156,0.0197483021216,0.0212928698826,0.0192627614097,0.0210165027523,0.0199527187486,0.0198792651072,0.0195232541811,0.0210632950245,0.0210985221489,0.0202050852748,0.0212557881969,0.0202189558768,0.0214966055934,0.020056678105,0.0203376598271,0.0200853842472,0.0212835381204,0.0202334733981,0.021226234922,0.0212365558467,0.0202479012644,0.0210561103714,0.0207954644707,0.0203630700312,0.020947033514,0.0203204821206,0.02036514406,0.0211067339343,0.0201329214731,0.0206659972286,0.0202804154226,0.0209609935376,0.0198134447597,0.0210206585773,0.0210325104228,0.0203062909512,0.0203715860388,0.0210913303159,0.0203295814304,0.0211895079005,0.0197921873649,0.0239928221003,0.0211639097295,0.0200065452928,0.0204551572947,0.0204125202809,0.0209083314026,0.0209348966447,0.0205305141602,0.0207815422081,0.0191459534476,0.0202138831417,0.0202082915799,0.0212284811819,0.0207502192498,0.0206348163171
    
};
const double PHI610[NST610] = {
    2.21952532407,3.01343352775,0.897630559855,1.61520420282,1.74522092105,2.00987728528,2.1412421905,1.16778397103,1.09892627514,2.18348606156,2.26959697265,2.34841052678,2.52267386018,2.3978365385,2.96014849684,2.76643039601,2.51414653526,2.45196927347,2.31904263708,2.54038563976,2.41183100409,2.18803441764,2.05669682601,1.98982830951,2.25127582425,1.98689332948,1.86163286982,1.333631015,1.12670860208,1.13421745806,1.24912288031,1.237116683,1.07173207786,1.67315825307,1.535310841,2.06216853637,1.70541531647,1.76269253276,1.58422529833,0.99969922401,0.954700618919,0.684607003294,0.963944176724,1.79917136044,1.92931886261,1.52962185376,1.39316068331,1.30490518751,2.11416633378,2.24509046249,2.29738856006,1.15697005621,0.746797447024,0.894675686221,1.04002837904,1.31111109075,1.39242030643,1.36178164394,1.29416342476,1.52566847469,1.53708541517,1.29198541372,1.47405514638,1.35046557406,0.619015169665,0.548281707905,0.970694009713,0.722269069445,0.930274379874,0.813348608119,1.86604906283,1.83700869954,2.26397354458,2.26515365905,1.92514892447,2.0450042799,2.78639553561,2.66002681956,2.58723035955,2.46946480895,2.41324989154,2.21375589151,2.20625149702,2.32481899214,2.32274396605,2.98369591557,2.85539083338,2.95964325123,2.85400946644,3.08809113343,2.96619450932,3.04155763263,2.87021295344,2.75861862588,2.0526547544,2.15493888218,2.21587990227,2.13439241671,2.0195491859,2.16180625351,1.77762052557,2.584861623,2.63274406668,2.77756910218,2.75306560625,2.84057808096,1.90189348015,2.06299399409,2.25513496116,2.36770118671,2.04604271481,1.96762600055,2.01481499242,2.14426138403,2.23095235261,2.17910923435,1.80313095455,1.86196528819,1.83503684705,1.94586925011,1.82143297313,1.93298957076,1.72324080101,1.72426803643,1.50180010752,1.59973765658,1.78765981452,1.82482532746,1.67898429649,1.69866352423,1.35340015315,1.43113681663,1.61840565328,1.52137145657,1.65071881673,1.17160293048,1.10949242969,1.04046719457,0.937282477855,1.55981063051,1.33985242759,1.45350813828,1.54937232913,1.6787241884,1.66175511431,1.47398023417,1.37196584957,1.60165902645,1.63038718581,0.310707511686,0.56320192588,0.652996937474,0.542709780149,1.39087347169,1.54526054717,1.52125985553,1.13121973764,1.38287443074,1.18082457156,1.3049641751,0.726775223232,0.862991649823,0.911696221279,0.855595166164,0.769249226377,0.781798705614,0.886805326661,0.90350507267,1.01167034781,1.00702847161,0.612329829059,0.958394404278,0.828767988201,0.751459892857,1.10649403105,1.18186547999,1.13332889683,1.00605564839,1.47021528485,0.656247564457,1.57201890194,1.75307213095,1.71091016104,1.66973043128,1.91388374556,2.04477526603,2.05455832832,2.11886373766,1.92293184519,1.85548873426,1.6630813559,1.72629794071,2.2440461889,2.1833249823,2.30952283853,2.33373054585,1.17218771761,1.10288963942,1.09491546547,0.975513075498,0.96887643967,1.28395934001,1.35698907357,1.48708419617,1.54314978721,1.53887548637,1.35494576923,1.47591620625,1.47732487222,1.28892945951,1.34875032787,1.1698073104,1.21611431103,1.3453279259,1.42938528534,1.6588971491,1.53314328107,1.28015533789,1.1538262014,1.14465967779,1.07809011398,0.563067549599,0.609639912712,0.543130089441,0.415775817181,0.411651378782,0.614977577376,0.854336364956,0.52946699754,0.595602828191,0.788657760086,0.791220826608,2.39655289129,2.28132544013,1.91482691302,1.93254110181,2.04956446316,2.15311642083,2.22704409648,2.29522925469,2.11635542719,2.2342963493,1.68782401841,1.75623679648,1.87590477894,1.69891804009,1.81424861058,2.06147169262,2.18783645933,2.1035547222,2.02061511016,2.42887497073,2.59551550273,2.42293759079,2.46853052796,2.39180494735,2.64333740923,2.71379651224,2.84018476156,2.68182013699,2.79827202255,2.89441455582,2.63807547842,2.42811572022,2.51059945936,2.65945680497,2.54906560292,2.44743704221,2.76957172508,2.63690928887,2.33409678415,2.41059040592,2.36254649334,2.47466580177,1.84137847248,2.03304246082,1.97105986261,1.95820366442,1.82440971322,1.76873764156,2.24245456058,2.36577710417,2.65220916985,2.58632206066,2.57177305093,2.44772783929,2.38995590508,2.45241598187,1.55763887655,2.2631804396,2.14310239519,2.31657309377,2.35174130684,2.18678465612,2.10145610297,1.84044507433,1.79048269896,1.63799052709,1.76264149954,1.63374249052,1.85920532744,1.68481380178,1.79957151876,1.46137523684,1.58360941228,1.63846751123,1.39085549194,1.56355792932,1.43866545729,1.12515126247,1.21927007451,0.954954432838,0.880781299832,0.949486009553,1.09018231836,1.15107339984,1.08330505489,1.24488543514,1.14456949292,1.27243639391,1.18585745337,1.04395002587,1.05738820359,0.835720372086,0.902023593689,0.956880694613,0.991834034483,0.939978248373,0.832802805409,0.741023768606,0.788814855301,0.919617768842,0.980895955717,1.8176720056,1.69538726379,1.65406272263,1.73591592493,1.62327825901,1.60039010086,1.51807920159,1.48151583554,1.52446718669,1.44641979286,1.47767781896,1.35354531645,1.79571094037,1.98103232936,1.77272698083,1.8529127317,1.74886321291,1.7703672803,1.97019807832,1.84864608296,2.11151892819,2.00540426264,1.90011723171,1.89154820941,2.10625430623,1.99200527873,0.412227370278,0.629627327279,0.544732677449,0.42783966912,0.197943720333,0.484529082218,0.663247605226,0.821733902716,0.789693097142,0.73397499556,0.60467040689,0.563313322844,1.21745742845,1.34462386812,1.44838373848,1.42881574196,0.751679540216,0.741401790404,0.639284808011,0.532358269131,0.668733428268,0.552791419602,0.739207381778,0.928299112848,0.734376281313,0.804555509082,0.981278150476,0.917620440348,0.79621534409,1.28895466849,1.34850795007,1.16369807121,1.22302021179,1.43744176907,1.32208719263,0.854805263589,0.964478343097,1.0853723733,1.09720355942,1.65934759998,1.72282410334,1.72488732408,1.85297612127,2.03775832413,1.84420591256,1.90910083918,1.02907893259,1.137473864,1.59004461992,1.66520709296,1.21538983682,1.2551563112,1.38503941201,1.46578606924,1.71395394193,1.83926387302,1.88395158569,1.64801004592,1.69901366446,1.80939145739,1.46773340745,1.27801581569,1.33873661696,1.52795284164,1.35001605925,1.47051388846,0.231654642865,0.348834996557,0.442345129032,0.425934500519,0.766124599661,0.731126294658,0.684853656659,0.612574757495,0.774372786005,0.729069416562,0.904304146395,0.957694076649,0.851811071157,0.564829705878,0.66842389588,0.574566857925,0.670860647568,0.35375893517,0.448573133939,0.440416045803,0.0191838562154,0.105171124273,0.151539059523,0.225980790345,0.885897004888,1.00858497506,1.09863866461,0.885168939797,1.0035141187,1.09388100297,2.08391393569,2.20102885455,1.99222437206,2.01647335172,2.2310959758,2.13741994046,2.02903849075,2.10871886194,1.90660470814,1.86555953149,2.05766936044,1.93794517461,2.39843033838,2.27018200903,2.3062619488,2.22604606615,2.61869011616,2.66757037761,2.43546351344,2.48577581516,2.56344266497,2.4705178441,2.54503648121,2.6392495522,2.54176797903,2.65035788522,2.76457332316,2.7733021529,2.92869989187,2.81219546012,2.90288421776,2.69776148655,2.55633833611,2.43501429751,2.34871804385,2.36774328285,2.47896067389,2.58225810628,2.03886646849,2.16249044725,1.97310853225,2.1710144602,2.09651149359,2.00972537077,2.04894731313,2.4683296591,2.37462074724,2.43343338801,2.25983045304,2.30585801808,2.22440630726,1.52103165662,1.60270040944,1.93392974257,1.80944528919,1.72935321058,1.97873817299,0.739132314825,0.559224373235,0.688387692354,0.771189964139,0.525234035571,0.624824605802,1.38379597919,1.17580433451,1.27327104924,1.39774534326,1.1883187146,1.29925545895,1.11426513263,1.24249620892,1.31833042099,1.27179288854,1.14779312828,1.0653713946,0.438923369322,0.426899108782,0.356522948793,0.235041390253,1.18434376603,1.14469299508,1.27822349075,1.29239897447,1.0278569061,1.05406422383,1.29808244756,1.24257883294,1.14555081669,1.18196696898,0.98671361282,1.10641119874,1.64114716106,1.58402672335,1.469392808,1.3932295097,1.37341081467,1.50130725274,1.60573940538,2.13848486065,2.05126179979,1.97965694635,2.10143579593,1.89077696229,1.92697481152,1.22824736418,1.29651614707,1.416706291,0.515658945242,0.35474578614,0.483384283585,0.554518880167,0.349820441174,0.237282395564,0.416765919829,0.198636409592,0.306870215424,0.403234692323,2.78379662078,2.69277489213,2.7228110432,2.60090714106,2.53494232903,2.5721551665,1.77430587952,1.89859299635,1.86335546414,1.94206705517,0.325528678543,0.367695542536,0.124999495654,0.208552508491,0.217216362387,0.323402603372,0.873533354297,0.940486035267,0.994766146661,1.02428011001,0.777312820686,0.815377585252,1.25173447314,1.29519960809,1.45616189105,1.34525948313,1.6944852406,1.48985697151,1.56835421726,1.53932604556,1.66348230551,1.74060456345,1.43663411869,1.68094353437,1.62434584298,1.5041488292,1.61404439502,1.49028188634
    
};
const double THETA610[NST610] = {
    3.00171533486,-1.51117382415,1.93952130626,3.15768192007,3.15351167662,3.13237969827,3.13152494603,4.7104685808,4.61239594785,0.876367372945,0.993357516514,2.99683230823,3.18870117641,3.15449576157,-0.7442240367,-0.276533438966,4.21169381737,4.0365796956,4.02174833729,-0.619629220133,-0.68245386358,-1.21218665501,-1.19602402981,-1.07970035288,4.14086939619,-1.31523021497,-1.31752169683,2.64480633801,1.51685896095,1.77818504783,1.70546762395,1.57703351823,0.910494451192,1.52813456869,0.596949353496,0.914786182609,1.63659091341,1.86040572573,2.23474885148,2.34012723917,2.21446064149,1.41191035076,0.829626589487,3.25594714729,3.24968437187,3.25733822414,3.24724119597,3.34594605907,3.87898766097,3.86864479159,3.74100807729,3.78321796614,3.55702149035,3.83114450832,-0.772513459317,-0.372055737915,-0.474685686676,-0.25976366254,4.68988018701,4.6995882346,4.01691407275,4.01346921962,4.1278901026,4.12973854426,-0.675735703034,-0.516374720434,4.64656489931,4.70587857947,-1.48352865462,-1.4405082396,1.77380920473,1.65745006704,2.3946434288,2.22540091415,1.55288887448,1.56528285518,1.32575099481,1.27078691717,1.48598935664,1.46877209947,1.28632523038,0.4049868702,0.723975283866,0.489241461064,0.660764018837,0.881670449079,1.0303373342,0.0152976699607,0.072552128006,3.60729081984,3.22657781153,1.60665986709,3.55835957598,3.36296680289,2.35965468766,2.45495036602,2.72584339894,2.61014899628,2.65346922385,2.87503511449,2.72398499101,4.65671602601,-0.756689491506,-1.2379559156,-0.638525341651,-0.889909418581,-0.0277595225412,-0.214431634368,-1.09729511138,-0.833132513859,-0.958881574049,-0.848003148966,-0.724555336462,-0.71125380324,-0.83450361475,-0.959220475724,-1.20442498974,-1.08598857869,2.33647337337,2.4132584487,2.59552372666,2.55412145179,2.51591253923,2.3959598921,2.42947334487,2.3447020852,1.97476735318,2.21240004315,2.05179906824,2.16342000941,3.13816341337,2.67755112207,2.59874492082,2.56446127431,2.72867770152,3.33439749463,2.58746159983,1.05993309828,1.3461958142,1.35841365261,1.50049334696,1.55756435389,1.48869046894,0.449972526728,0.562594127918,1.68427661715,1.75443939239,1.72288691696,1.83148547347,3.17337541646,1.45611685347,1.8045768629,1.6886042969,1.874738216,2.01913828449,1.91197380364,2.35474084008,2.40584145088,2.4837250859,2.50792881085,1.23454688046,0.935203317387,1.08713532578,1.22437514184,1.71471192246,1.54353868026,1.79323835878,1.49220444124,1.58369400192,1.71875604029,-0.313349187243,-0.679119333363,-0.735692756837,-0.619636217275,-0.268048293834,-0.382483265679,-0.504898615817,-0.532778319189,-0.0299165475294,0.405604560329,3.3610948911,3.46432032219,3.36346167897,3.57010879234,4.24823139191,4.2519879622,4.0164502476,4.12779306713,4.02498860371,4.13298428423,4.01868157582,4.12909985941,3.58389985785,3.26634007391,3.29189014061,3.45141286739,4.01429078064,3.89959806408,4.13041006014,3.93281487132,4.08908933146,3.56256240708,3.45719731373,3.46161424584,3.57034778916,3.79109500794,3.89762705813,3.902883158,3.6775985065,3.78281157737,3.6743913251,-0.730128226921,-0.607314546949,-0.588261380443,-0.686938272848,4.23776478314,4.23840906368,4.2412867859,4.47795591834,4.24200071409,4.36682433045,0.273714047996,0.0552796822129,-0.122033474476,-0.500504189741,-0.179379898887,4.32861209022,4.14800011911,4.50895847554,-1.55487774855,-1.27124451567,-0.911464368429,1.63578433074,1.60653749043,2.0179621474,2.14560861874,2.21393881041,2.14328751295,1.15045777746,1.29459957609,1.43910750171,1.44639891878,1.31986739607,1.42621593414,1.42942108223,0.0194251263892,0.0588453207619,0.171371379474,0.241332315031,-0.0676073319215,0.0246196402968,0.386010041681,1.0673535572,0.769797032828,1.10222327394,0.954812512747,4.24994855386,4.01942420925,4.00440966816,4.51624285625,4.67789081624,4.43703894054,3.80114464745,3.71868166183,3.85498366662,3.53040433208,3.4092066661,3.52413963817,1.69678389683,1.71580003727,2.68864505489,2.83126905338,2.50876684762,2.44348970425,2.81996498516,2.89660285666,2.79218479495,3.02330103021,3.03884735276,2.93991197523,-1.3646136616,-1.43133000472,-1.20156606955,-0.989101634628,-1.38680715303,-1.31548700916,-1.12966789665,-0.989960403451,-0.670334019421,-0.282922407883,-0.320700806789,-0.553864314213,-0.399331257505,-0.578439175048,-0.463991155056,-0.860184441703,-0.977783520801,-0.769752990772,-0.755638660451,4.7082911958,-1.56188427505,-1.44680594971,-1.44044704518,2.81281362434,2.82920971562,2.94417781954,2.91868470596,3.04711588394,3.03836397564,3.21558594133,3.11912608734,3.43144596607,3.56133102044,3.68161478467,3.43992048527,3.55733099508,3.66973917269,2.76160585678,2.72796204258,2.90125723649,3.00083015156,2.82669557981,2.96196597604,2.98157154954,3.29858107386,3.05190203848,3.1896342093,2.74253852333,2.80168400248,2.67584865726,2.49449834048,2.47206441543,2.58913783688,0.972816390267,0.998900557201,1.11563335907,1.20981680335,0.79407799089,0.911002945484,0.713000337254,0.956909505393,1.15808102135,1.08782730711,1.29130393956,1.36319990211,0.398345916183,0.251215007396,0.26872683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   
};


const int NST796 = 796;
const double AREA796[NST796] = {
    0.0159234609509,0.0163249587318,0.0160387337561,0.0151771900476,0.0152544541949,0.0157020354637,0.0157384164576,0.015847268734,0.0159226136745,0.0157914819581,0.0159468024879,0.0158947097968,0.0154574034904,0.0155680496508,0.0160995428217,0.0156516968255,0.0160601387404,0.0147568329141,0.0154352856389,0.0161730583588,0.0161618907849,0.0151312711975,0.0160300409708,0.0160563588532,0.0155332993719,0.0150003942028,0.0158189940377,0.015250998753,0.0154608430018,0.0162468207922,0.0154546623078,0.016152897284,0.0154074544035,0.0162560130167,0.016371694212,0.0154510414099,0.0158376525602,0.0159225409796,0.0157152303099,0.0151612342092,0.0154487352597,0.0151403300345,0.0167301961814,0.0150678715112,0.015552329899,0.0162005261775,0.015204850866,0.0154275994658,0.0150043328449,0.0153992293873,0.01598312999,0.015633608828,0.0159751219931,0.0155138837941,0.0162135804799,0.0155940804807,0.0160686924959,0.0154312949822,0.0156151704764,0.0154991326603,0.0153580721352,0.0162726039644,0.0162755104821,0.0157320947351,0.01575576399,0.0180831054267,0.0151194711095,0.016210370554,0.0156324826234,0.0158395248188,0.0163462529353,0.0156015316207,0.0153774351721,0.0161830202039,0.0156239521013,0.0158180233905,0.0162683830997,0.0161576378689,0.0156529362532,0.0157679615108,0.0159406489418,0.0149928658331,0.0148500445133,0.0153744397303,0.0181185880899,0.0156119402426,0.0154723185742,0.0159019238676,0.0157216075415,0.0161296619114,0.0155839402702,0.015247712917,0.0161370493803,0.0154358184859,0.0162759048164,0.0154415584359,0.0156049301862,0.0161247657627,0.0158535601651,0.0158197399483,0.0154745453798,0.0162504818172,0.0161884061265,0.016012035472,0.0155628449635,0.0159974262137,0.0158140548983,0.0157179325214,0.015934291778,0.0158425799752,0.0154704206227,0.0158749783461,0.0155687062804,0.0159921776154,0.0156782441193,0.0158876642939,0.0157752472423,0.0161819468612,0.0163908301643,0.01533768081,0.0156493009414,0.0155720743707,0.0155672254575,0.016012654376,0.0149344138372,0.0165187311131,0.0152687031188,0.0181962035553,0.0152416603898,0.0161790286195,0.0155201824214,0.0155036928113,0.0161858238715,0.0157512724339,0.0159829992807,0.0154817731473,0.0160174542155,0.0155904185503,0.0161161347456,0.0154882773128,0.0156977925575,0.0156833131359,0.0160483677892,0.0151624411724,0.0168420340772,0.0149270647404,0.0155084443012,0.0152289664927,0.0163039116243,0.0149691694011,0.0156095688915,0.0160355802786,0.0158530092058,0.0157295841067,0.015988388595,0.0157408775052,0.0154967518775,0.016144363945,0.0154491308622,0.0158407268798,0.0152337003001,0.0158732852654,0.0156508934928,0.0160867392834,0.0156449699033,0.0160357550591,0.0156794157438,0.0160554543961,0.0157520656802,0.0155385279907,0.0163224085989,0.0156749577741,0.0154788650097,0.0157976585719,0.016169747729,0.0156326164708,0.015681809074,0.0160314471688,0.0158128795637,0.0154483594146,0.0159530895864,0.0158483938194,0.0159328718034,0.015841931074,0.0158847885181,0.0159339302735,0.0157864556676,0.0159030459932,0.0158662047548,0.0160916940911,0.0155636882211,0.0155638040342,0.0162034469142,0.0154903508296,0.0161212489425,0.0155805377459,0.0155399931552,0.016258567265,0.0149213267565,0.0162135698137,0.0154796135392,0.0162432403425,0.015482682062,0.0155322460565,0.0162086655182,0.0150895483331,0.0156972581259,0.0159750748336,0.0160299535167,0.0166361818504,0.0165511458529,0.0156421901596,0.0158986511764,0.0159306863312,0.0155605521762,0.0160766456858,0.0161373657617,0.0156297790631,0.0154047731508,0.0162624669689,0.0158447513277,0.01549659947,0.0162618348173,0.0153599915769,0.0161030565437,0.0149935156132,0.0153451177304,0.0163539561747,0.0160038786282,0.0157452680288,0.0152600369064,0.0154142943105,0.0157358768454,0.0160847782608,0.0158080711931,0.0160901714575,0.015729799299,0.0158025320574,0.0157073260431,0.0157919348343,0.015932102188,0.0159108836242,0.0157732680514,0.0156625127745,0.0155908617279,0.0160813742345,0.0161034353321,0.0148823661726,0.0160375535676,0.0179638468386,0.0148593028342,0.0153038598466,0.0160208131799,0.0159895476149,0.015727187846,0.0154498706614,0.0161923493497,0.0154944463147,0.0156657286216,0.0153749113639,0.0161509526851,0.0155655813532,0.0161150394836,0.0155722227087,0.0155738528899,0.016017834562,0.0157819714045,0.0159186680253,0.0160670979316,0.0148374055255,0.0160344101473,0.0157524347383,0.0161347821173,0.0156410711192,0.0160738363131,0.015275982892,0.01496753902,0.0151610878774,0.0149166960716,0.0156251579002,0.0160146159806,0.015456853748,0.0157590901386,0.0156436643919,0.0160994025892,0.0158000145706,0.0157910790214,0.0161835678409,0.0162979273173,0.0155725486198,0.0154312869132,0.0161956057985,0.0162000370691,0.0157164776597,0.016094466538,0.0156065970461,0.015924713285,0.0154422712524,0.0161489139374,0.0154294501519,0.0160125033988,0.0154405214685,0.0160239756083,0.0155779539843,0.0159510406241,0.0158551635617,0.0158013185976,0.0153716293398,0.015672910499,0.0156343259019,0.0160891125104,0.0157720824188,0.0160100243752,0.0155129961721,0.015971809109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   
};

const double PHI796[NST796] = {
    1.50502206474,1.77037834345,1.60855157565,1.24942939558,1.22019678582,2.8611680822,0.561928575835,0.660436796879,0.733722933387,0.830460379455,0.857743324482,1.69105024214,1.64303696248,1.39622816391,1.29646897024,1.193661306,1.19449212828,1.74633285535,1.71805862414,1.87768165073,1.51622980026,1.5959319518,1.98806334681,1.7692503344,1.94714652737,1.83839314157,1.59731770107,1.58303622452,1.68681955003,1.6994873269,1.80859852444,1.99385724471,1.89608336148,2.4178583568,2.07884820436,2.1829785661,0.491502225487,0.416221146137,1.0083672724,1.10491419855,1.15511739327,0.955494195856,0.965504060792,1.06109438698,0.884093830605,0.784068862851,0.697360738052,0.0845002719227,0.0746914349686,0.182750021623,1.19141903646,0.992910158481,0.996619465718,1.37299416276,1.24987410977,1.13725172989,1.11717146962,1.33942919409,2.44691125976,2.47342252155,1.14773089879,1.24520422447,1.27475843668,2.76879424352,2.56285071911,1.83045966226,1.73817394934,0.258177417662,0.359319072724,0.948114556124,0.114716024457,0.310792293216,0.142256090827,0.248267539207,1.09769197862,0.995612252134,1.29149859351,1.26461750805,1.35071598894,1.41034707918,1.33103799311,0.968391956527,1.16601212929,0.985163636046,1.07633608798,1.79543376312,1.4976915053,1.62086518118,1.60504021187,1.88054216572,1.98451937081,1.27630615005,1.39280834173,1.49045484859,1.48869578536,1.39560312312,1.29393159952,1.29847973984,1.61292096053,1.60696809967,0.961342595843,1.06782004325,1.71829756098,1.81611862936,1.72157281934,1.02603563061,0.955811904279,1.09865048852,0.997000674252,0.993122393127,0.899049636422,1.09436509649,1.09757251105,0.910198096652,1.0070646277,1.51114506154,1.41804523794,1.47693234627,1.35086569451,1.3698399445,1.8018247932,1.85756438322,1.91130924774,1.94031064702,1.76901307289,1.86879897568,1.70978961359,1.72999834221,1.82267501522,1.81486200325,1.81795897383,1.71684072079,1.72029144161,2.19046599842,2.29359258119,2.45712212229,2.56529876704,2.39050827696,2.37525196307,2.31005763395,2.09720080586,2.16055952733,2.26342186684,2.05962489633,1.94752421589,1.92335301641,2.13964992054,2.00037935823,2.10370176006,2.82150684291,0.594126077524,0.629758808866,0.465354786421,0.573433477743,0.638373907734,0.609837941422,0.611945461427,0.596299891756,1.06001438551,0.792557871123,0.588407960407,0.481674818201,0.669805407134,0.678646290404,0.71928269884,0.621736209977,0.558232002773,0.615275710272,0.406034596729,0.451304986991,0.597163922185,0.540940836586,0.57162771745,0.474316112511,0.119794149495,0.137709553464,0.232192475317,0.299402273953,0.541302307222,0.392991053448,0.494073186358,0.643341620373,0.696659506377,0.796188322182,0.846444553905,1.00271004626,1.1051732229,1.37782430314,1.29176691898,1.08860396446,1.09200696485,1.18459065461,1.28008132013,1.48160573029,1.47022717541,1.56219405603,1.5863310428,1.67495850036,1.66201977363,1.31816866695,1.40883409297,1.39160985591,1.28749731508,1.20895893353,1.19521852213,1.85767551025,1.77824150399,2.27441117646,2.37658089554,2.12638352091,2.12323874561,2.62349543706,1.93393035212,2.13626194805,2.03838500863,2.04054810075,2.09673807066,2.83636316081,2.45458335792,2.4156846293,2.36482108733,2.43489813506,2.40614029147,2.29835376358,1.60722960099,2.12248042227,1.25432500981,0.922711945659,1.42223691016,1.5212758545,2.02028151298,2.01986221013,1.65932877048,1.56314665551,1.55843051443,2.47817806027,2.49041056185,2.58356512006,2.63871485053,2.74724861776,2.64564203914,2.54181748984,2.55001916004,2.91764373487,3.04286116665,2.95713501392,2.93847446364,1.5951165255,1.49359323848,1.69226642413,1.67759867753,1.56665957856,1.47951868161,0.898769111041,0.912719449136,0.714778576631,0.800635986705,0.797867417223,0.269774458352,0.219879152639,0.297818617571,1.01409960114,1.10700024181,1.01852899961,1.20831353327,1.04084087777,1.22631137837,1.14704352466,1.65946540414,1.63587959667,1.53638655294,1.45000238879,1.73280937263,1.72253800852,1.8113041136,2.19625944528,2.20903414263,2.32306055397,2.37858802133,2.29288617711,1.10439178256,1.15619400361,1.33328204732,1.25928223005,1.34452007618,2.00392200459,1.90895048048,1.68007770002,1.27214858815,1.20000040557,1.15924135349,1.12253622385,2.19294430745,2.19240839711,1.15681736751,1.12467910241,1.51590832935,1.62279009478,1.62594337924,1.53122218314,1.6228364501,1.51965278794,1.64211950064,1.56256820047,1.72371557668,1.66911613944,1.75083659723,1.4333843627,1.58547213321,1.61739821277,1.53774146491,1.40303842733,1.47572597512,1.91532076202,2.10347335205,2.00818094583,1.91508525914,2.00718163041,2.1019838988,2.13055361409,2.17844139455,2.26649612273,2.23965982971,2.07139156091,2.04981843538,2.38702205623,2.29093301632,2.37768971856,2.28901969831,2.55829480561,2.47557112532,2.5866775718,2.63123511299,2.58416783544,2.67903111997,2.48245485975,2.49112218354,2.54818392283,2.70850252354,2.64427636581,2.96558633037,2.86680489587,2.76832677268,2.74526053536,0.970154051297,0.989754647785,0.320795238266,0.424787079492,0.506804097796,0.4981374343,0.794087450254,0.892564642583,0.892226251507,0.692280141754,0.799167831823,0.6971592771,1.05445315648,1.12957669314,1.20681543624,1.10395835655,1.27491296091,1.24632043808,0.955826125097,0.923440081184,0.819007947094,0.744533469572,0.948778847422,0.908336156968,0.802550280298,0.735982021798,0.787545553982,0.893466625605,1.20041588373,1.40214246855,1.05696936885,1.06805472835,1.16060342698,1.18322157936,1.27401623512,1.28567627403,1.06476266851,0.891574656217,0.780883984108,0.776498251917,0.884370570379,0.974499035457,0.500931642276,0.439202943941,0.312952352803,0.408352622809,0.236755641315,0.3945342664,0.296662139934,0.806441544852,0.704376410537,0.91530635714,0.807919837986,0.752823655619,0.720553190589,0.964882331072,0.877665078408,0.860210769915,0.936623235635,1.30616505044,1.40619672652,1.95636700716,2.16667943777,1.51552197967,1.6032454988,1.38460039037,1.46773051747,1.38455389721,1.83396605076,2.0172674415,1.93494810598,2.18261678543,2.27734399464,2.20203683846,2.48036890782,2.67227852403,2.57770181214,2.4699975086,2.37242264861,2.84720164101,2.51617359842,2.53705676206,1.81761961998,1.92853157048,2.23345735057,2.32808767731,2.42874832595,2.43492407033,2.1935802673,2.32886741193,2.23975772748,2.12556679728,2.13983698809,2.65824280896,2.74677824429,2.92809632939,3.01154978145,2.94327860735,2.89976752655,3.03865571908,3.12224153049,2.82994497967,2.6892782514,2.7957596761,2.62229047182,2.73559186195,2.63874709699,2.30658680632,2.1510691381,2.25554874365,1.78828165622,2.3269498111,2.43056333119,2.35365496092,2.29354559167,2.46849252007,2.5128022372,0.809683765517,0.727723574576,0.769755010071,0.87238084176,1.37260724251,1.55942988667,1.72946771152,1.83433631656,1.65015899292,1.65025075999,1.93202948718,1.75041429829,1.83521136834,1.74603417589,1.47153041733,1.29638296386,1.36407014931,1.45981778157,1.37287113125,1.46085286995,1.27503671044,1.35682844473,1.25992320411,2.82709099004,2.6782680261,2.73457318128,2.63691772182,2.58434457496,2.62573163701,2.80724372206,2.74624813284,0.480512340942,0.394266169686,1.82981323983,1.83890618837,2.02306297886,1.93770507336,1.91092735641,1.99935482892,2.09809293171,2.10432852755,2.01371159219,1.91934652643,2.01738179681,1.90756342834,1.83151902845,1.80591030731,1.90196334257,1.78647925125,1.86226644554,1.49775059963,1.60615921674,1.62509928195,1.53365888872,1.46110824489,1.31183195125,1.34790586277,1.31370372616,1.2581202701,1.42554481756,1.33853077104,1.44266172504,1.32261930158,1.30173470693,1.20198192769,1.2107870613,1.41227725389,1.42458291461,2.45621799073,2.37613861305,2.31316518468,2.41666061117,2.27012555516,2.24535354083,0.864033221398,0.860254339757,0.676039172824,0.776870694211,1.3397479058,1.31853010212,1.41807538417,1.52927049721,1.54129294832,1.45103054826,1.17646023925,1.08512436153,1.20724507081,1.00295197102,0.759085375014,0.297595053993,0.403120597107,0.40068993436,0.233084011171,0.33485415004,0.379537931999,0.194303364029,0.280777985278,1.23352541028,1.14129002653,0.946523772397,0.84533401122,1.03867056991,1.03418433085,0.938761170516,0.841745921507,1.13099775904,1.32322423208,1.22750674973,0.946347800693,0.85891963999,0.984366604076,0.879541826178,1.14303194006,1.05116563106,1.23268799848,1.22209071555,1.12158247338,1.04011985475,1.4477031622,1.53343173634,1.63542734217,1.46688201767,1.79296812384,1.70641811592,1.72084755092,1.81960086642,1.75069295978,1.6510665289,1.56811671125,1.75290309114,1.65415906813,1.56900688191,2.37448387184,2.31496861112,2.36562286845,2.46556887992,1.98931748992,2.15599050923,2.04834277091,1.9687101779,2.28016670633,2.18869328584,2.09548509003,2.08771533273,2.27421572873,2.17530093604,1.8068283419,1.70151136648,1.7089279294,2.11906957796,2.01850117434,2.7203565012,2.71454173193,2.78468827215,2.36536118959,2.46958485537,2.56169457522,2.03966288357,2.15120386054,2.24736481041,2.22657561078,2.21591990653,1.93903213414,1.8466139067,1.44926619055,1.47037359908,1.35703280329,1.36898405342,1.70671364778,1.79059919082,1.51737198305,1.52906603963,1.41797832933,1.32842877758,1.33650945188,1.43762861233,1.19335130729,1.08695644741,1.19336359946,1.09019823481,1.02110004627,1.55614764901,1.63538327174,1.64651194512,1.4572857279,1.53249311796,1.44465454407,1.93685709949,1.83927919506,1.93233203499,1.74540364326,1.83508778035,1.74581043193,2.50238913157,2.54490606354,2.5533192765,2.658448107,2.65365875283,2.72075958822,2.77211150061,2.75005633017,2.81601464843,2.93203666383,2.96379001964,2.86388763291,1.53640174254,1.69111007383,1.72260392087,1.64667074688,1.5571263579,1.58238943918,1.50330699754,1.39238670472,0.76476963866,0.585354251025,0.574292376199,0.667015734797,1.15335332808,1.13267864322,1.01909599788,1.06137555886,0.924347401776,0.946593965153,0.748571092072,0.7584191279,0.576634482379,0.675753546605,0.467927838535,0.563230572731,0.653134688992,0.660562828548,0.580471680679,0.478594187468,1.32908640243,1.36476766558,1.43235033011,1.45073446903,1.13707970879,1.17227446995,1.25692106957,1.23937889868,1.06573692114,1.04773164887,2.00257371606,1.90605672599,2.08931596497,1.89361373125,2.07667425789,1.97792857737,1.88960300422,1.98985027029,2.07085373972,1.84351128659,1.82484627911,2.60771472388,2.53588344583,2.01365594546,1.9031619634,2.07908529728,2.10496095524,1.96887315201,1.8835323955,2.0792321828,2.10245145625,1.97131412041,1.88839601542,2.23164604725,2.3461192773,2.34178884147,2.13500385389,1.63019559078,1.7180526439,0.862520228393,0.828172913594,0.417466054597,0.512853068145,0.36446446573,0.769456691584,0.888938952816,0.875318952251,0.68143266283,0.80918466618,0.709786794515,1.94212365619,2.04629376097,2.12180662829,1.95229884081,2.06093670524,2.42877098523,2.3491889028,2.23907645743,2.21011727097,2.22621464034,2.27985349671,2.38709548777,2.60173322982,2.55550648813,2.52032106262,2.44346205827,2.02811270474,2.01084316545,1.90520654704,1.81874557147,2.1436108043,2.04056758248,2.04401721528,2.13679094289,2.24113041732,2.24442667508,1.55126845605,1.640880578,1.56062585109,1.65793861218,0.722956117749,0.705574674071,0.655499614862,0.557432113821,2.26867028097,2.31918602691,2.40977810708,2.3777887448,2.2072219183,2.18762855745,1.94139022237,1.9338181366,1.84566299088,1.74814217066,1.83041263752,1.74037444513,0.609750807144,0.435649417536,0.433756323085,0.526024611525,0.535640057623,0.615673111603
    
};
const double THETA796[NST796] = {
    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   
};

const int NST810 = 810;
const double AREA810[NST810] = {
    0.0155399449398,0.0161688300168,0.0152359394744,0.015635052276,0.0153558882534,0.0159236110923,0.0154529053544,0.0153777231596,0.0158747930543,0.0174902452703,0.0163646282334,0.0157136301376,0.0156947663925,0.0145642782173,0.0157282224595,0.0154152162751,0.015779657788,0.0159386383424,0.0152711411302,0.0153143450106,0.0159087696578,0.0155769700931,0.015613521867,0.0156582629643,0.0186824678569,0.0156193418111,0.0156050348831,0.0156960244849,0.0153404024449,0.0154906822447,0.0154632406866,0.0152584092614,0.015599537725,0.0155817342077,0.0158350555085,0.0153990220042,0.0156023182605,0.0158195731828,0.0156548519196,0.0146961693208,0.0155412355947,0.0155752599902,0.0150223780388,0.015313336346,0.0158349272788,0.0160724348125,0.0155368260347,0.0149373140279,0.0157730889448,0.0157028213385,0.015159446115,0.0154160767054,0.0153732314094,0.0156760858905,0.0157690076316,0.0155355294589,0.0156848525259,0.015460908645,0.0152319716482,0.0158303383026,0.0154092622719,0.0155088656775,0.0150326993552,0.0147998287839,0.0156010446847,0.0155443426125,0.0154889660265,0.0154580631902,0.0156977203383,0.0149563878115,0.0152884062191,0.0156386129204,0.0154984108545,0.0156925427389,0.0157854031038,0.0154469109323,0.015500800021,0.0154345776176,0.0153468597298,0.0152057365421,0.0157084125364,0.0154844579875,0.0145010125618,0.0153402715544,0.014976082705,0.0162568861633,0.0152803898975,0.0154015794122,0.017710361432,0.0160664318192,0.0146953871472,0.0161405834856,0.014902931141,0.0155670857324,0.0147319773892,0.0161980065045,0.016155481072,0.0148801007133,0.0149737524107,0.0149600137977,0.0159481144975,0.0154579258458,0.0151676044853,0.0149665356148,0.0146198102419,0.0180849835452,0.0144245195022,0.0160017031572,0.0154600143893,0.0157503270276,0.0153229506396,0.0154319022186,0.0157477237024,0.0157672725891,0.0155156095423,0.0153749381926,0.0156847813367,0.0157283502291,0.0154099653366,0.0148154835412,0.0164561590436,0.014841434964,0.0151020895547,0.0152537318006,0.0153632410112,0.0157432915211,0.0156431268058,0.0154477718599,0.0154290916632,0.0155501416761,0.0156861945732,0.0153664452299,0.0157170657907,0.0154759251235,0.01554689155,0.015522451902,0.0157212733489,0.0153171612847,0.0152876405088,0.015872643788,0.0153631474043,0.0157305583241,0.0162098987446,0.0152735357551,0.0156391329427,0.0155053972569,0.0152576065813,0.0157120977976,0.0157281904876,0.0154568986031,0.0155336319987,0.016047960057,0.0151064878971,0.0159589669405,0.0151741779739,0.015869857075,0.0153159508664,0.0158481199992,0.0152373510461,0.0159498165727,0.0152287094446,0.0161735119254,0.0150975071303,0.0155146149029,0.015815491883,0.0153824439585,0.0151242477404,0.0158710078242,0.0157886224041,0.0152794757919,0.0158226018691,0.0152143719559,0.0156739183651,0.0154831545336,0.0156813246914,0.0157554029423,0.0154131377166,0.0156452036988,0.0153045024865,0.014590539258,0.0161237805596,0.0163084272534,0.0145803135472,0.0163599773157,0.0158004623144,0.0154566950715,0.0154390507417,0.015769724491,0.0155141702916,0.015565748242,0.0156235024824,0.0145857930979,0.0148226055962,0.0187275797572,0.0152589204403,0.0154136514979,0.0188383697097,0.0162366870957,0.0159652812986,0.014604989175,0.0154299624986,0.0156195182983,0.0156205300061,0.0154968188677,0.0161028502029,0.0164354677854,0.0147009664917,0.0151136630909,0.0149786485471,0.0159951008312,0.0152642358339,0.0151457476976,0.0158332118753,0.0157245038702,0.0154457120771,0.0156729414993,0.0155431843474,0.0155637134586,0.0155135342162,0.0152519980458,0.0158033566085,0.0156029898167,0.0155093862206,0.0154472085807,0.0154486843824,0.0155858795215,0.0154236925269,0.0156844148136,0.0156703679453,0.0154246791842,0.0145281989467,0.0155531540567,0.0154667115486,0.0156770726485,0.0154395269551,0.0154665333667,0.0156705935873,0.016051801765,0.01525396156,0.0152897022652,0.0159027962616,0.0152124824979,0.0154658000877,0.0152622666542,0.0145668436324,0.0154259147017,0.015520003151,0.0153165109989,0.0157497234302,0.0154607412251,0.0157411526229,0.0151472026079,0.0158822798847,0.0157607498885,0.0154272978643,0.0152921971868,0.0158973490236,0.0153633521162,0.0154233367756,0.0147483700824,0.0153360435566,0.0155460555431,0.0155255976301,0.0157103848373,0.0156514828116,0.0154394537501,0.0152042485027,0.0150729621588,0.0158180729598,0.0155989613565,0.0156461586305,0.0154417401625,0.0150778509989,0.0152248086163,0.015059077409,0.0151894285875,0.0161083824718,0.0148238857638,0.0151609341507,0.0155418903944,0.0158175559437,0.0153657364129,0.0155454385132,0.0156120338461,0.0152148534702,0.015257262332,0.0158558949509,0.0156911396872,0.0156151835111,0.0155743994118,0.015160463759,0.0155182329696,0.0152040897519,0.0161731387997,0.0150166689044,0.0152783457005,0.0160057585954,0.0152909294022,0.0157363616502,0.0153376531741,0.0145669274091,0.0158161050679,0.0157834094686,0.0152522023849,0.0159467115873,0.0151489750456,0.0156110820062,0.0155171814289,0.0156417373362,0.0155410581671,0.0154291996009,0.015773852633,0.0157910853035,0.015360019029,0.0157471759147,0.0160225602049,0.0148506229406,0.015219881556,0.0147717471355,0.0151886607936,0.014774510378,0.0148257652767,0.0159150775923,0.015927558412,0.0158348795006,0.0152443180483,0.0144689559696,0.0160226385721,0.0156921580201,0.015507155179,0.014465359073,0.0181352761708,0.0151438021758,0.0151042732684,0.0160379451752,0.0160440063384,0.0151393784557,0.0156796699989,0.0158287632208,0.0147558460765,0.0162405112836,0.015125478759,0.015012727976,0.0150398112594,0.0148479485204,0.0150714218599,0.0149083671623,0.0155065774988,0.0151670032767,0.0158508224094,0.0149888400162,0.015777268001,0.0152869741177,0.0156554866071,0.0151728953281,0.0160379019337,0.0149479824402,0.0160392668355,0.0149681767776,0.0160231265194,0.0150402066735,0.0164241380732,0.0164394988868,0.0155087685326,0.0157426094769,0.0153531417364,0.0157856486038,0.0148897693126,0.0147463525739,0.0153597406237,0.0157431931311,0.0152944977655,0.0146302836822,0.0158444189001,0.0155046754714,0.015932673263,0.0154131977854,0.0145394933565,0.0162226798271,0.0152154809821,0.0152180732821,0.0158329878039,0.015232071224,0.0157874687918,0.0158045735371,0.0153777232787,0.0154292479589,0.0155751729109,0.0157230412015,0.0155033389394,0.0155813074162,0.0150214165745,0.015539165494,0.0156178908509,0.0144291833142,0.0162306071262,0.0154755448052,0.0153252114028,0.0152683257684,0.015875441194,0.0160672129996,0.0154734774257,0.0157165834775,0.0154474046194,0.0155215422069,0.0155830115374,0.0153475455913,0.0156296083195,0.0155015351418,0.0156140231664,0.0156018769504,0.0152743415252,0.0157989211998,0.0160613858664,0.0150870166583,0.015251950858,0.015981171476,0.0155502121309,0.0156533693019,0.0156069314817,0.0155283120956,0.0158202720738,0.0153550589678,0.0156177789714,0.0154955910007,0.0155548720626,0.0155184971987,0.0154461587371,0.0152973209231,0.0156626694744,0.0156926264625,0.015419938785,0.0146024801815,0.0157737590324,0.015532485276,0.0156417485879,0.0155003576053,0.0156169670064,0.0153153142485,0.0158030221745,0.0153434264132,0.0152168452157,0.0148578214715,0.01524747918,0.0147067375346,0.0151846769821,0.0145585410226,0.0156589439081,0.0155005132633,0.0156277422476,0.0155614743451,0.0154851197868,0.0156314026664,0.0148666311924,0.0149779309099,0.0147105087631,0.0153149747398,0.0145277010658,0.0147016535814,0.0161676647174,0.0164110350719,0.0147140883999,0.0155060204557,0.0156761507655,0.0151326604914,0.0152104587388,0.0159606734803,0.01579631224,0.0153949285732,0.0157879427039,0.015094875273,0.014787246892,0.0159363552828,0.015030572553,0.0151760048777,0.0158777790783,0.0158724844994,0.0150246130998,0.0147812832773,0.0162737603629,0.0153238141489,0.0158640020727,0.0157085229603,0.0154874754355,0.015733368645,0.0153545034547,0.0156021732374,0.0156494388971,0.0152603609219,0.0159662233062,0.0158689543631,0.0150107902162,0.0153851719763,0.015205227914,0.0162222053406,0.0146980856372,0.0189891577647,0.01482031712,0.0160435649705,0.0145577564127,0.0147920019171,0.0185750216189,0.014674775146,0.014516162197,0.0156290382337,0.0148649263663,0.0158350026962,0.0154987637488,0.0156386766585,0.0159727808907,0.0147210156805,0.0163367469573,0.0148072941544,0.014478141671,0.0162702205567,0.0148523604368,0.0186473978612,0.0153755181868,0.0146412082976,0.015881494549,0.0152173313823,0.0157808665253,0.0152586903818,0.0155487480958,0.0156965835095,0.0152870395786,0.0152761824983,0.01603938378,0.0144313455141,0.0155620676932,0.0156977038632,0.0155175646661,0.0154812265644,0.0154605325685,0.0154351390741,0.0156512633931,0.0151361973453,0.0159373811297,0.0156289129506,0.0153115425739,0.0157331767809,0.0152253982681,0.0155492495123,0.0145984557019,0.0147893916555,0.0151494823247,0.0175015000777,0.0165454665136,0.0150333006837,0.0162039970294,0.0148161232967,0.0149909813969,0.0153097558434,0.0153792477188,0.0157481760648,0.0158105251486,0.0153547722764,0.0153760713784,0.0158545528697,0.0156327036004,0.0154104165734,0.015554327854,0.0153671554,0.0156436776286,0.0154808236972,0.0159742467573,0.0152835902576,0.0144585578932,0.0155636303186,0.0147634787954,0.015091166156,0.0181420583019,0.0162755711076,0.0144693423654,0.0165211687598,0.01486044244,0.015021245315,0.0153755611214,0.0165815228193,0.0147439629769,0.0159792998114,0.0149589472055,0.0153100797616,0.0156420815553,0.0155361702902,0.0152444469392,0.0155739061481,0.0154995100714,0.0147442790055,0.0151735693801,0.0151472669633,0.0157616779427,0.015115592321,0.0147793239021,0.0148002092789,0.0154573456078,0.0153286350668,0.0154619035739,0.0154791879461,0.0152394611225,0.0154341450801,0.0158924793705,0.0148451364993,0.0153777690168,0.0152807197667,0.0159861602165,0.0150351328122,0.0158959638723,0.0150768299248,0.0151599585485,0.0159246199323,0.0155063427108,0.0155947200148,0.015148146497,0.0148419864635,0.0145433300534,0.0158051780706,0.0153246050351,0.0157877084822,0.0153858280826,0.0156888379358,0.0155032095526,0.0152028634685,0.015761802524,0.0154634674429,0.015157404781,0.0155159839232,0.0151496535391,0.0158557952489,0.0159899411052,0.0152054480183,0.0156526252257,0.0154882125311,0.0153513384175,0.0157674884118,0.015448180335,0.0156811980801,0.0156524497701,0.0153074230961,0.0152235677661,0.0159324439868,0.0157025302662,0.0152220591218,0.0158861731822,0.0152179419289,0.0158215695303,0.0153239582366,0.0158602805066,0.0152877963309,0.0154997509467,0.014514280969,0.0157678232221,0.0154349864531,0.0156563688998,0.0154720540475,0.0155140131297,0.0155912356862,0.0156539204443,0.0153893596498,0.0152429968179,0.0151473023816,0.0149507176569,0.0160486792047,0.0162984128772,0.0147684498732,0.0152771777726,0.0159584345444,0.0157487304349,0.0154704670357,0.0157880643931,0.0153116047098,0.0146351247135,0.0154598881482,0.0145867790988,0.0161231304247,0.0156631372775,0.0155061899621,0.0152304235393,0.0152241853971,0.0158712373182,0.0150811701488,0.015033900187,0.0155220647055,0.0156203161384,0.01531504288,0.0156895835308,0.0159741609657,0.0157913424458,0.0156471173995,0.0155994659912,0.0155860925976,0.0155340850339,0.0155244732276,0.0155466199557,0.0156468877236,0.0153846629968,0.0159032237097,0.015402504729,0.0158473579641,0.0153948476701,0.0159461459629,0.0152408607568,0.0157715693305,0.0155167702081,0.0154616350936,0.0157017946822,0.0154363983174,0.0156816947393,0.0158375971598,0.0153393600483,0.0153738696339,0.0157989845461,0.0157353206739,0.0153182296937,0.0158874865229,0.0156524358726,0.0156278613191,0.0154993633034,0.0153769862723,0.0158722536773,0.0152432185031,0.01427368713,0.0192511719647,0.0148282019053,0.0159861577235,0.015441016981,0.0147719061745,0.0160086273712,0.0156653806232,0.0155421538643,0.0153878935102,0.0153151297628,0.0155935486758,0.0153476082771,0.0158123476985,0.0154552740884,0.0156002047103,0.0160236714549,0.0150662692568,0.0159734331235,0.0146978229999,0.0153001202366,0.0153695540603,0.0157371084867,0.0150849376796,0.0154910764744,0.0153877926528,0.0156387335706,0.0158990378835,0.0157865553146,0.0152814912493,0.015581374229,0.0153704244969,0.0150380829671,0.015687118104,0.0152981040938,0.0155938424177,0.0155894088768,0.0155861630986,0.0154956967967,0.0156323092487,0.0154122507495,0.0157820702192,0.0153705593272,0.0162488762348,0.0144549978701,0.0150556490171,0.0155289710384,0.0157284997044,0.0153678789915,0.0151495734602,0.018051197456,0.0145395729207,0.0161551594732,0.0145433355263,0.0163338450793,0.015671684427,0.0153780403049,0.0158321635723,0.0151945976907,0.0157700458657,0.0154111662754,0.015717265893,0.0155275674272,0.0155812621153,0.0153875806968,0.0158126608221,0.0153645862231,0.0153681289065,0.0157403394458,0.0152658092655,0.0158480596713,0.0154204706004,0.0155676078012,0.0159183974371,0.015280121391,0.0153067924223,0.0157698679913,0.0153938736211,0.0153395926754,0.0150860390945,0.0159344494194,0.0157041634983,0.0153745109373,0.0154497487242,0.0156910669375,0.0155871013938,0.0153820275619,0.0155434819478,0.0154167577349
    
};
const double PHI810[NST810] = {
    0.761235344749,1.9907799862,1.74308537818,1.13285973652,0.744807762039,0.811390672278,0.573663673569,0.569665610298,0.640925058905,0.9957509979,1.11270146186,0.630470744584,0.589255334008,0.920113481925,0.805195233172,0.74391745672,0.810484495401,0.971499566487,0.922290070985,1.08675169932,0.984215227207,0.0870089156405,0.0958438678254,0.207026230325,1.04078533853,1.24830456458,0.601952840767,1.04269914654,1.10794614876,1.61937281881,1.58810902227,1.79957224546,1.8905438517,1.75062234696,1.71321038578,1.78322606962,1.88855495981,2.50271096916,2.04562810142,2.17867676852,2.03103836227,1.72194297069,1.768993322,1.9428548956,1.88227813805,1.62426805604,1.65753917056,2.64362387222,2.22579491025,1.78549664562,1.89282020333,1.19173221259,1.91221837231,1.96031686134,1.85306352834,1.92997716653,2.0429054046,2.0776893509,2.13929090427,2.08831215823,2.14026955009,2.24916060599,2.18601947379,1.21671903564,1.06340108596,1.14665166373,1.5503286032,1.68342590504,1.57443477542,1.51212888609,1.45503166399,1.57635198489,1.40623883952,1.46388995556,1.53212710438,0.579320648763,0.638964151663,0.64130386856,0.959686713583,0.914218077724,1.07134559116,0.961338189494,0.499135509519,0.606622708643,0.45534991895,0.41619839458,0.937915784805,0.832324015254,1.29800295306,1.08724009648,1.24072568412,1.1407130129,1.38519269718,1.54142317499,1.43805992803,1.19529714845,1.37566316099,0.963732479879,1.01905306723,0.94501242548,0.869173489878,0.779849646216,0.85100401437,0.797078357418,0.752927925321,0.76840566515,0.860920476383,0.841102424689,0.266213938853,0.116283372765,0.130140992182,0.501054229489,0.606039994718,0.311572400161,0.422922843712,0.243852870199,0.315500241749,0.468557058092,0.422356879861,1.1125086502,0.958748913594,0.913799713065,0.941044597428,0.924999397948,1.00270926956,0.912709009241,1.02722050137,1.09404968668,0.78357326541,0.711991117078,0.536955208067,0.426898283816,0.451272569239,0.375473271083,1.10921998997,1.00908091061,0.927656043726,0.956555063956,1.13726573271,1.06536991884,0.827624058967,0.818616383403,2.15539957762,2.1403741015,1.86012246577,1.9283034318,1.14854140389,1.60383098679,1.79552867592,1.19664753957,1.11885711677,1.00756830744,0.981687573214,1.48478633662,1.41666153694,1.73587400916,1.62588905099,1.56190790224,1.7792105407,1.70832765324,1.60129221719,1.6613854048,1.58944176445,1.63407881306,1.74698125396,1.88415264793,2.0213429251,1.99549976797,2.43699812943,2.51916283657,2.59309681952,2.54613388987,2.6809298597,2.58493516932,2.32760015267,2.22008432684,2.37182127517,2.40931294402,2.34807882283,2.25901156872,2.25485222679,2.30703169493,2.12304978353,2.20585158199,2.10548920302,2.03909189616,2.0793906011,2.21636658833,2.26020272486,2.18904743545,1.95830579974,2.063928047,2.09554119589,2.13842824883,1.83935987014,2.05233891192,2.08809017173,1.87176685935,1.91242094697,2.01472364361,1.92861784421,1.90615738372,1.72317685214,1.80104203654,1.61211596431,1.70390379549,1.74431141196,1.85193293142,2.02975158073,1.92518412209,1.88180696856,2.06110277897,1.98604643907,1.55404275661,1.52987019677,1.42789966929,1.34940356161,1.87575529744,1.90772921527,2.09841150585,2.18647389927,1.99841202159,1.98296057586,2.17129976075,2.06807946683,1.85465226337,1.72161476483,1.7449411259,1.73504620377,1.65586165643,1.691485677,1.67776767111,1.59112108022,1.78605145703,1.80271466271,1.7147579086,1.61157348209,2.55196279129,2.53747164325,2.2814816511,2.36941198838,2.46212150949,2.46262957702,1.80398427186,1.76278250033,1.74090911529,1.8011195722,1.64657482782,1.75063373083,1.90544833727,1.96632133075,2.0556773744,1.95304003835,2.11819749327,2.07603952148,1.98040776707,1.81012264443,1.9211660422,1.32054317013,1.29168309148,1.432122476,2.11648572723,2.07279619927,2.13597358068,2.24984061811,2.3084602767,2.61900257942,2.74190477644,2.43142977934,2.68341846674,2.13881140785,1.98525512936,2.76491113589,2.071182341,2.05876376738,2.1442111516,2.14870372926,2.23696643608,1.31400899627,1.50990642761,1.48320492746,1.38895645961,1.0106585044,1.0877175052,1.24998252947,1.43509702019,1.33343450404,1.64651627031,1.76914753576,1.67349462766,1.7175096093,1.57324290943,1.61022874877,1.53839023139,1.43906811211,1.42540636833,1.2949766947,1.40378509114,1.4663397518,1.94166673214,1.98022678848,1.91611481127,1.35045673255,1.27782577676,1.31692267162,1.24878589762,1.1655776961,1.13581414134,1.09125239974,0.798500581598,0.752925465842,0.909315995352,0.826883330142,0.977309848855,0.93941936385,0.988683017589,1.23583012017,1.125710774,1.08764097972,0.298027375329,0.394450857336,0.397706548678,0.577632827417,0.482653128545,0.601359100092,0.498023556822,1.0455630863,0.964902713256,1.03669385481,0.94831156513,0.588360757581,0.495362315118,0.530219673813,0.48173169098,0.404882241764,0.294465231641,0.286235171523,0.472771369844,0.387859214398,1.46408682957,1.4675255329,1.55955809957,1.09750493429,1.18819119665,1.13823193672,1.2491920515,1.28007049181,0.666576992307,0.842814659306,0.773226288802,0.85070686781,0.757796962509,0.659018652583,0.814460303351,0.929120828633,0.969519077838,0.90482517778,0.58837531789,0.670107165548,0.478438162865,0.462232674571,0.6614035053,0.564950728973,0.189676826278,0.268492634117,0.365792941815,0.255358789581,0.670556342233,0.573130451746,1.42945424501,1.39146601864,1.28676191153,1.21693065272,1.08277468093,1.15410767869,1.3075253357,1.26643048847,1.12556913585,1.06910960119,1.12898987205,1.2408594782,1.29270067265,1.23652582317,0.990035269927,0.963857954751,1.04717651041,1.24774783706,1.04320198271,1.16911699065,1.06555613937,1.10990175907,1.2128931931,1.18607268548,1.09730020896,1.28482221611,1.29881705528,1.37288771837,1.04201843387,0.891984278131,0.93291989753,0.968820826365,0.745814955874,0.641194617662,0.558884389265,0.59651914183,0.930133874494,0.871596371957,0.885789234657,0.775868891543,0.760024452906,0.707415568795,2.03476729468,2.00447654229,1.95123697549,1.84544633866,1.89642025794,1.82074328912,1.76988172319,1.66101235127,1.69601665493,1.62407778358,1.73358272121,1.65993722498,1.55172483682,1.51370923836,1.47713591028,1.33701354061,1.30210594544,1.51379355431,1.44595976224,1.37652230524,1.47897628293,3.08526437873,3.05408264657,3.00565537548,2.8549592743,2.75364843275,2.90659222468,2.7001533501,2.72750520894,2.82437692601,2.35162324132,2.23625296492,2.38074452727,2.27308387779,2.41004043507,2.31647991215,1.98619390466,2.02653854458,1.95309279767,1.84313335998,1.87589919196,1.80589611739,2.04484614355,1.97171810104,2.07022771324,1.8924522865,1.93237683552,2.11195033611,2.05914681992,2.10391407489,2.2040554211,1.29083019783,1.22179921781,1.56598714765,1.58736130143,1.63156170933,1.47532873838,1.40590781075,1.45271176912,1.54852866531,1.53037371794,1.5935291728,1.42294305436,1.79895063997,1.9253740348,1.6108688359,1.58608319819,1.48253511331,1.40099156115,2.40125995986,2.43415687932,2.29344258196,2.22269544053,2.25225234578,2.3547493948,2.28446346793,2.37276766669,2.35769560787,2.2557620089,1.97259890286,1.91640936054,2.08315775274,2.12544003192,2.04864293497,1.9509141289,1.81933065372,1.85349274589,1.59090309326,1.48876373957,1.49298742076,1.3974627667,1.39908938876,2.22191153784,2.29097902194,2.22077440235,2.5831435419,2.46999631477,2.42029630967,2.638849835,2.74196473723,2.73246072674,2.81409891073,2.90779480634,2.80526447542,2.9691530062,2.90934560297,2.60905803108,2.73486036523,2.71941324691,2.53320826245,2.55055473455,2.64190826269,2.29355793346,2.39631509724,2.24494482977,2.73244205791,2.7919587046,2.8974895648,2.76620731607,2.94825901964,2.86738859263,2.28694367534,2.17444814987,2.11743948516,2.09388214032,2.94479004375,2.8587492184,2.83820661455,3.04408446235,2.51074342233,2.61718878556,2.73812156979,2.52953141545,2.35986453892,2.34906947584,2.40941531455,2.17428386871,2.25044289154,2.16845459997,2.23757200147,2.41323281544,2.33283803505,1.00391583579,1.11135709714,0.968476644987,1.04235118587,1.1944875694,1.27365381004,1.74387335272,1.8073677623,1.63714322217,1.49536986464,1.67018750759,1.56648846637,0.990144320077,1.0170529947,1.06819108967,1.12864332525,1.17945725188,1.2355712295,1.16012662607,1.40189452203,1.3457533592,1.3644884234,1.27013577134,0.230063242881,0.116262370347,0.309185889405,0.302219934738,0.120703439101,0.221625251809,0.669819346728,0.764594763208,0.853591450139,0.861973205963,0.782418546985,0.679604330175,0.647109750253,0.862586213066,0.686538743328,0.791438660236,1.88925207248,1.54905702432,1.44959067588,0.309093225626,0.399534039715,0.228250271607,0.28685497975,0.632649201945,0.728345847975,0.738589017001,0.659996935113,0.352230912132,0.438661275709,0.394446340949,0.494336369633,0.537902827199,0.556572590688,0.624654197049,0.732545527544,0.790462720359,0.739589485765,0.796619204958,0.948382545873,0.90774863209,1.38927591559,1.35752264302,1.24974928326,1.31514915863,1.17196430715,1.20591039905,1.09722464253,1.22397068332,1.12322502373,1.07486886444,1.27514115808,1.21205910083,1.10755632246,1.24013242785,1.14448967648,1.51716303867,1.40875448423,1.37927057382,1.45736328392,1.47833565549,1.44055331589,1.40594831086,1.32971409787,1.296109366,1.25722566086,2.81099906808,2.89009478558,2.99447575482,2.98019230368,2.44877069806,2.63880293467,2.54022370944,2.45008289496,2.32383239919,2.2169793479,2.163773899,2.21047596438,1.3729997844,1.27034319395,1.3857424194,1.43580110674,1.20721946998,1.26028054111,1.8202957762,1.76380501949,1.65913234488,1.76094375528,1.64896565235,1.60324350092,1.93593611503,1.90321943664,2.04182866576,2.11602120461,2.07713267666,1.97057229076,1.88213022882,1.91800152333,1.83328108752,2.67494095714,2.56460510314,2.66453206801,2.39475184508,2.56945217445,2.46680955043,2.58440194391,2.39543967723,2.49864602871,2.58269480186,2.22776094829,2.29394673264,2.26319971782,2.37066740051,2.31356191797,2.33704481507,2.23639666772,2.22406384835,2.42234621325,2.43368631447,2.63167481287,2.53195676762,2.51127221208,2.68460196319,2.5809871131,2.7119075955,2.62416044741,2.52873928658,1.29307375131,1.22518784904,1.36770575145,1.33358156531,1.18389997706,1.14976049194,1.49356487572,1.59813785007,1.45747792119,1.52849789996,0.718433712502,0.775952287542,0.690629843936,0.877765494861,0.903161706065,0.828326457353,1.68628841604,1.58134983402,1.57427610689,1.70840413925,1.62902757045,1.79833552516,1.80141785661,1.69625662185,1.61403889589,1.43047112503,1.51529838346,1.31940454059,1.30545512289,1.39375697661,1.49245036604,0.409932373008,0.493930849548,0.589521826324,0.449091056687,0.560887884041,0.620232193893,0.882826446728,0.868041144499,0.796584483885,0.688394137383,0.67858477506,0.771591896229,1.40475525356,1.30273083534,1.48645786417,1.17444392354,1.23340471854,1.15033311206,1.27899951503,1.5894330749,1.76286777861,1.69733489352,1.55889450333,1.63068276775,1.72656436322,2.38621119334,2.49576879219,2.55039456196,2.48061364337,2.3667691305,2.32493802467,2.07420113085,1.99826738195,2.18045453148,2.19482242807,2.10394758701,2.01422209726,2.28899090371,2.29778623755,2.38563603342,2.47895365085,2.40291093684,2.48928853688,2.62423674844,2.55488277319,2.56890666542,2.4590923728,2.40414553891,2.44659576737,2.8749718521,2.81131650088,2.70836686266,2.80425424646,2.69963614368,2.66012124701,1.6326602455,1.83897308665,1.76871413131,1.66646580482,1.80725906044,1.70346804382,1.65786168276,1.66913992992,1.74368185905,1.84382279091,1.35797251007,1.46319845393,1.41813994799,1.33626993224,1.5478210017,1.52423723584,1.77890798871,1.76874196628,1.96575752744,1.87663638334,1.95692703893,1.85767738414
    
};
const double THETA810[NST810] = {
    2.99361173966,3.75753618789,0.67105552789,2.01998695478,1.4115179321,1.53767283164,3.88917819302,3.1560996294,2.99406156847,3.4522951692,3.69913111233,3.29575799163,3.48273765675,3.33822263466,3.11431629146,3.25532805691,3.36397547356,3.22276252773,3.10987254112,2.99595633004,2.99555587343,-0.802577954985,4.13305607898,4.18883486531,0.592494997397,4.64452327901,4.08041154755,4.36777363345,4.46582359049,3.05254239333,2.94644705102,0.296399504609,0.497772335423,1.57506601931,1.46833626979,1.38193942571,1.40346167765,1.11796302101,3.3190218868,2.32873178285,3.19779018756,4.33131669075,4.23422643967,4.31071286456,4.22297537478,-0.120429699948,-0.799340981247,-0.575814653769,0.0444949819274,4.42569737802,4.41651103992,-1.41758847407,0.304975908016,0.40324214009,0.68757300987,0.599023849456,0.613267499417,0.723436033678,-1.44738505129,-1.33930739731,-1.2222793992,-1.21143438025,0.758212782068,1.95508047972,2.21375566248,2.14287751534,1.83462074949,1.65820909356,1.63997521883,1.72670732067,0.424127325784,0.256930057682,0.319617505761,0.236344686572,0.636439498029,1.2626353063,1.42790687535,1.11178019669,1.38276874033,1.51053374485,1.37339464516,2.15692982089,2.77079678403,2.84257447549,3.16058108153,2.90957740524,2.87147708102,2.86588972935,3.21905779756,3.21921097976,3.10048811181,3.10761986762,3.21661453493,3.12956844797,3.10744935847,3.61196726786,3.46708448297,3.56544508823,3.68212716265,3.79024139388,-0.297681882747,-0.202973503334,-0.425240929855,-0.654283629936,-0.506659629438,-0.785752600213,-0.900151070979,-1.03999490845,4.55425622381,0.346622495736,1.20073216359,0.853658262687,0.933171624353,1.51785887367,1.00929760615,1.19914659719,0.913535254464,1.24888893125,1.4671116433,0.522961085042,0.302785730934,-0.638921532609,-0.509187952445,-1.12180324606,-1.32246082927,-1.26166390992,-1.05651062777,4.26066367888,3.99384998601,4.11283444314,4.23927739361,4.22422170497,4.66123830742,4.4694735498,-1.49782686398,-1.45501868211,-1.54498349192,4.6050916995,4.66726917753,4.57869199333,-1.50042547909,-1.34652186524,2.02998738815,1.89319008704,1.59810453183,1.51316927909,2.88807623428,2.06508980349,2.10448691468,-0.207488132281,-0.117208896291,-0.141169688851,-0.260693952724,0.0479401642538,0.132098880014,0.380526630024,0.360413828704,0.444263839163,0.483677456348,0.568046747962,0.549029299402,-0.0156576814803,0.0696903773634,0.174610453047,0.193839536469,0.789902746741,0.918985063301,0.810656206224,1.4695508101,1.78681974353,1.63749471331,1.45855318806,1.20101832044,1.26155071409,1.85959554357,1.81397411204,1.6077731727,1.74913169726,2.00114348056,2.22227445615,2.0905010088,0.954253964962,0.968525065176,0.897600506747,1.43510880868,1.5336584825,1.64696208668,1.45236342681,1.58465817072,1.67934769891,1.31269819425,1.32395230418,1.09883581254,1.19928616283,2.52338625393,2.56300087243,2.32638557455,2.32458655413,2.43357716613,2.44971978356,3.15720335224,3.04293049926,3.08474387085,3.00849228187,4.3407038502,4.14093250551,4.04604331616,4.03154677317,4.08560129403,4.11436036094,3.92048801957,3.96402220897,3.88241441405,-0.329698806599,-0.437649884754,-0.464106088728,-0.381021199358,-0.743026892308,-0.525487061729,-0.53885171373,-0.610465191956,-0.593187769358,-0.708150836661,-0.745644771451,-0.787110716877,-0.848138630989,-0.975038380711,-0.874099834742,-0.382710264467,-0.302887911741,-0.199631502613,-0.698322141877,-0.622909829313,-0.668731123595,-0.565027240883,-0.49030936418,-0.517915160759,-0.665854176986,-0.862744952285,-0.54518877841,-0.631730517533,-0.555648615973,-0.372073822178,0.109512809623,0.00495404137551,4.52470455275,4.62398933103,-1.56230892902,-1.55903194948,4.62440917219,-1.55551120596,4.50652542807,4.51569169687,4.6132629811,-1.55689147553,-1.34842952025,-1.45828028811,-1.45488248027,-1.55303050464,-1.44870949578,-1.56279928692,0.516232415461,0.406918943347,0.297574558345,-1.45209054631,-1.33351356442,-1.00862679507,-1.43913930965,-0.0155910567153,0.94138294182,2.79319332128,2.96427930828,4.55103827409,3.70291633069,3.57097993804,3.37063670623,3.50469130416,3.57434755789,1.99896122746,2.04685365829,1.93066522061,1.91157186265,2.41919659864,2.33784583432,2.18630181376,2.1368113569,2.10851015001,1.85428402341,1.98860449603,1.96889679527,1.76490191522,1.33954621127,1.44635908659,1.53452928996,1.51380698725,1.21310207087,1.38518512145,1.40476173934,1.31885682417,1.00580816307,1.11396897398,1.20328884689,1.00295170628,1.08809363481,1.19304035692,1.27896286339,1.07234640376,1.26889788197,1.16707239582,1.26912890512,1.13403576807,1.2687467565,1.01564639085,1.15793577614,1.03901394755,1.6158920927,1.47332368221,1.47106932792,1.58721240537,1.86616995205,2.01548016894,2.31360052706,2.00783170172,1.89076769845,1.60718443621,1.65439098839,1.82850297797,1.7472492803,1.9552145698,2.01956157781,2.20096784233,2.3650838536,2.55134731759,3.56167422543,3.38291626812,3.4622430421,3.85411872985,3.79797773398,3.96029605757,3.30036371734,3.39892602629,3.23757608522,3.43404211365,3.50687087584,3.31591631673,3.32311438973,3.43513778271,3.58934907964,3.74660880605,3.51573939448,3.59955499128,3.83960160339,3.77376495759,-0.070642435343,-0.0476657595302,0.0746122736847,0.178515505843,-0.149869345202,-0.258967183586,-0.213009656173,-0.435437534541,-0.442623603997,-0.545321311967,-0.85924588124,-0.480417561276,-0.593026967011,-1.2830242631,-0.824932938928,-0.728617461815,0.619889972251,0.512102249993,0.495355044675,0.580501708835,0.0869903023192,-0.0100159427132,0.111545481033,0.00657256309772,0.396108434398,0.301062875044,0.190158927638,0.198070659385,0.302100587872,0.389983621965,-0.721598033182,-0.852943502475,-0.926473716563,-0.407944970501,-0.471140693245,-0.32043840114,-0.34836834103,-1.11837913242,-1.06309143932,-1.2967639082,-1.2462969923,-1.24111010814,-1.13374269019,3.97367771804,4.15175024356,4.01980994717,4.14360048935,3.91297176944,4.67645173245,-1.5548719427,4.59732820201,4.4130688711,4.37685948919,4.26151425985,4.50230415041,4.52644786686,4.25873298276,4.39899890904,1.84889971504,1.73537249515,1.92989548642,1.90028149552,1.70754923887,1.79067821359,2.89932927169,2.8699995385,2.68762806429,2.76560575987,2.50141690915,2.58348622779,2.56013869712,2.74175630377,2.64005947811,-0.0778466887883,-0.185304156544,-0.140024549741,-0.0573757732911,-0.270690780929,-0.246322116968,-0.539176118195,0.990700789532,1.94907517525,1.37361273922,1.41766478606,1.77420705079,1.66391995379,1.92284036774,2.04957617965,2.3009051504,1.20032060567,1.33876005397,1.34297634439,1.17752156648,1.09355121871,2.65541471788,2.76756874913,2.85136766307,2.82155306833,2.63195015687,2.71381142162,2.22041432492,2.03988474006,2.09340859275,2.12548521414,2.23491450009,4.39494977868,4.29781746055,4.18025519429,4.15133633445,4.54399307096,4.454677352,4.4393133955,4.62487860502,4.52876118868,4.6272208598,4.53699078454,4.44497209632,4.25488246903,4.06872385808,4.15212014965,4.0783460565,-1.05947338184,-1.24922383621,-1.00019610287,-1.09850899768,-1.14192363828,-1.08480748067,-1.06201985057,-0.905239329422,-1.08095893904,-0.972208886092,-0.83636045581,-0.790807584447,-0.392918136404,-0.299487880721,-0.13597295552,-0.0948080036662,0.202774468065,0.110305724173,0.191620195835,0.0694728488215,-0.0297469398502,-0.00124000916624,-0.166505358704,-0.0655265580741,-1.46372596434,-1.46674092325,-1.25495627046,-1.30449872855,-1.39296370137,4.59198893994,4.6984198017,4.44189482062,-1.19455775765,-1.20011353542,-1.34191870048,-1.39167208443,-0.692593282545,-0.946111977085,-0.43973525767,-1.17188082798,-1.1775427085,-0.684616122367,-0.317028976832,0.0973893530471,-0.209268633339,0.0450863577826,-0.0549441472477,-0.254234896002,-0.340540501533,0.163135046168,0.146191269068,0.294965273218,0.51469525919,0.268843104851,0.231942372301,0.79810631634,0.679753426886,0.966345527172,2.94360408496,2.91309068629,3.11981319411,2.9994074008,4.61414788365,4.37273564964,3.98070669477,4.25863067968,3.01845904892,3.0847156557,3.95068122159,3.91221821535,3.76597106842,4.01152297647,3.89542671709,3.78483626259,3.72245948295,3.9244242743,4.01680941063,3.61921457439,3.509477641,2.76197366764,2.77772939091,2.63806708373,2.54342970486,2.37600229552,2.29661464223,1.2742783804,1.186767652,1.25415983199,0.830715881022,0.757941810972,0.742723238854,0.820925663304,0.94481020423,0.73728348762,0.967779786031,1.66008840219,1.83065268654,1.77077738556,1.71591965098,1.80480635181,1.60796157873,1.58696819356,3.15414599124,3.12514637425,2.82128902893,2.49489555646,2.14502185143,2.18306618048,1.91439093222,2.00818919477,1.93962041636,1.79075506513,1.68841356157,1.73821890668,2.54701587354,2.61035205101,2.70784533941,2.72777231035,3.69075378494,3.95617185354,3.8943129449,0.55648086331,-0.0251070423429,0.261211300187,-0.0823072905391,-1.3756096214,-1.27914869573,-1.10841660093,-1.01099603203,-1.18260618367,-1.37319929703,-0.884657540809,-0.891003036148,-1.27368064185,-1.0735673735,0.0309850952934,0.315603189885,0.174902485947,0.0479543950222,0.426724616314,0.545258219939,0.412956069629,0.812469088022,0.707509521703,0.685263690424,0.89784628743,0.770719987331,0.878904795177,-0.679277674329,-0.523653249963,-0.55803602264,3.93167137945,3.96031539259,4.06055948309,4.04760555987,3.84202697076,3.82697047152,2.4572227105,2.43294887249,2.32670212181,2.24536515533,2.92297130616,2.82230479361,3.00661700809,2.80547038242,2.99711849126,2.89635100071,3.34301771934,3.60558472201,3.45447711106,2.71621976477,2.24265010984,2.06733794478,1.9717965657,2.06904856213,2.45098844101,2.46559576764,2.57686751494,2.69531071693,4.17001914122,4.35712936624,4.35475685259,4.26314452608,4.26152451515,4.16594527402,-1.26270336039,-1.36532274666,-1.18128257118,-1.16787735887,-1.36758591069,-1.27843116909,-0.931679374167,-1.04272399149,-0.90666550157,-0.999387204103,-1.11977902412,-1.13732434185,-0.232772230027,-0.412715988169,-0.345528413884,4.40411535176,4.0952589923,4.1580473885,4.65853079167,-1.5547420517,-1.50361541387,4.51557380121,0.854839054645,0.927388370588,0.826159759267,0.53333926445,0.422205271921,0.667136392201,0.705117183216,3.076582225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   
};



const int NST996 = 996;
const double AREA996[NST996] = {
    0.0124857992829,0.0126828741137,0.0125184014875,0.0128358140002,0.0127090064398,0.0127975238237,0.0132433411671,0.0121885428733,0.0128358379244,0.0126213160783,0.0125536759372,0.0127893036403,0.0124257214309,0.0128533592399,0.0127217921705,0.0121363617427,0.012921979963,0.0126049019802,0.013857314232,0.0124487879018,0.0124816577559,0.0128317495644,0.0127367625669,0.0128679748734,0.0128333284615,0.012522238749,0.0130710565716,0.0124718988375,0.0134878024292,0.0121363226402,0.0126838839511,0.011966449436,0.012409483946,0.0124414705065,0.0126177073084,0.0127339921714,0.0125914028789,0.0126433520902,0.0128259326019,0.0124397021536,0.0126155278322,0.0127535867899,0.0125231719999,0.012665352027,0.0127757075984,0.0128307876078,0.0124209678906,0.012391998649,0.0128746083884,0.0127113638998,0.0119768789116,0.0123996772788,0.0123159574129,0.0129278842807,0.0124407148589,0.0125975461957,0.0126988734242,0.0126975935252,0.012580349257,0.0126203041624,0.0127429182115,0.0125221683108,0.012664785813,0.0130360637122,0.0132615597256,0.0128233890657,0.0123873298295,0.0127862971971,0.0132209749638,0.0123613590925,0.0124256761597,0.0129130171622,0.0129105287607,0.0124184193849,0.0121154297228,0.011968798085,0.0125504982556,0.0127264949097,0.0126420007134,0.0126929807898,0.0124765955152,0.0128612666665,0.0120711530249,0.0124865086923,0.0125518953282,0.0119379637873,0.0121466263996,0.0128806071415,0.0124079533032,0.0130013446701,0.0128537866369,0.0124191060087,0.0148178026425,0.0126041862962,0.0126019799706,0.0119471432606,0.011982641158,0.0125271676943,0.0120796155069,0.0118903493955,0.0120665508054,0.0124901005007,0.0128150973684,0.0125836195165,0.0126798514631,0.0128410020404,0.0124924164871,0.0125814946069,0.0124506189978,0.0121940312524,0.0127611894941,0.0124934071654,0.0128632860177,0.0123456845315,0.0119755982065,0.0126813726794,0.0124208174308,0.0127545902796,0.0125479248296,0.0122289369237,0.0122935805423,0.0126878122916,0.0125581116411,0.0126657482011,0.0126574068209,0.0126446415109,0.0126782643612,0.0127412093188,0.0124044027641,0.0117725376756,0.0125633911094,0.0127279115861,0.0130088328469,0.0124491566243,0.012540253171,0.0127671129094,0.0128459470403,0.0126265081445,0.0124950744629,0.0128459303594,0.0117526888362,0.0129915567285,0.014465168067,0.0125298306099,0.0143901943074,0.0125770738208,0.0127551756953,0.0127097201044,0.0126823064165,0.012480205004,0.0128988425916,0.0126295836759,0.01278501293,0.0124878292944,0.0126440332597,0.0126896177415,0.0125360853397,0.0127144339734,0.0128164814681,0.0125700489342,0.0126057507443,0.0121591429909,0.0123834120202,0.012622010642,0.0122954858709,0.0125841187748,0.01277743071,0.0128778511575,0.0124970338298,0.0127662066433,0.0126079681503,0.012290413344,0.0127142952978,0.0128555765923,0.0124249313224,0.0121192378651,0.0125529170624,0.0120261639353,0.0126919942123,0.0128460887347,0.0123603205638,0.0125918221716,0.012213462916,0.0132513206317,0.012175017712,0.0127451462065,0.0125156039562,0.0124346548174,0.0128502943217,0.012228192612,0.0126717337268,0.0126756185495,0.0126732438997,0.0124787248071,0.0126289243991,0.0123039861245,0.0123069192866,0.0123270181744,0.0120664338177,0.0124652207295,0.0120449289403,0.0131644821766,0.0124327796472,0.0129243425754,0.0126441512534,0.0126198741816,0.0132983257553,0.0128073304436,0.0129182872209,0.0127593909282,0.0123915547712,0.0127919587563,0.0123865792783,0.0132599081482,0.0121357313499,0.0120454216041,0.0126979008449,0.0125819497361,0.0125935019696,0.0127484360559,0.0125588877955,0.0125183633926,0.0125155577295,0.0127043824169,0.0127235433058,0.0126038003191,0.0128531506365,0.0124145441654,0.0128567285389,0.0126332709322,0.0131039179265,0.012091182226,0.0123817564693,0.012628124647,0.0129396178823,0.0127449036751,0.0125211429286,0.0121260405654,0.0126071569386,0.0118855637035,0.0125915481048,0.0129325565945,0.0121298800437,0.0131388503193,0.012799878241,0.0118607573697,0.012595676972,0.0120129672017,0.0142739658104,0.0141216534323,0.0119572362544,0.0127618304764,0.0125494302399,0.0125070121142,0.0127776542642,0.0119891913549,0.0127053634416,0.012528253551,0.0129016443855,0.012738753138,0.0124756964325,0.0124449489225,0.0124047034593,0.0128656341485,0.0126067606959,0.0128672424188,0.0126679978271,0.0126782887677,0.0131209770734,0.0121470365957,0.0135358279308,0.012627687001,0.0123924064067,0.0123777833641,0.0130296352464,0.0120748426963,0.0125272883613,0.0126562207575,0.0126819215779,0.0126280921901,0.0124854752583,0.0128285395366,0.0128903703256,0.0124734158803,0.0128365374397,0.01243385708,0.0124949337329,0.0126799783922,0.0126034380067,0.0120901757888,0.012741977664,0.0126324566366,0.0124685555344,0.0121899160993,0.012355796953,0.011986755724,0.0125925296022,0.0124638423508,0.0146853964355,0.0119654889542,0.011959901357,0.0123944928168,0.0127180606733,0.011837811526,0.0129063091034,0.0132022703509,0.012356311284,0.0123340695691,0.0122272343084,0.0140857806373,0.0120636468856,0.0127646080853,0.014775683477,0.0119898678286,0.0120374153477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   
};

const double PHI996[NST996] = {
    2.54757754322,2.68876540457,1.53700968414,1.52551185934,1.50434374498,1.48623705749,1.31600045188,1.39592325428,1.38531106044,1.29886680567,1.81035649949,1.81744985068,2.39201242164,2.32577850405,3.1046406245,2.26728661193,2.35895721656,2.21032763438,2.24921201437,1.98955877927,2.15052882721,2.24641652111,1.12173988184,1.03706698392,1.55061188563,1.55511465975,2.21462762607,2.2403141289,1.38594814879,1.29607012154,0.571830943849,0.0330578500801,1.71843979671,2.02927130495,1.80393714852,1.62522071758,1.6329142785,1.72039319161,0.823733508093,0.694554690086,1.10873066182,1.00883380121,1.66589907947,1.42770834479,1.32982986905,1.52071138005,1.39652414695,1.2741146881,1.18386783811,1.3624353496,1.46253071948,1.4590839644,1.25544325903,1.33797693513,1.41712700141,1.51103132744,1.40230053652,1.30833668556,1.29752468766,1.794748648,1.7840072902,1.73909811281,1.58677297392,1.85423506543,1.84703306963,1.67857703209,1.75247273844,1.89397830293,2.4878810829,2.59140454855,2.50240199758,2.48383125645,2.59185156555,2.5015451842,2.22350020982,2.30540837341,2.54893369168,2.64597976146,1.89150324225,1.88426204485,1.96599590676,2.05882007831,1.93411118236,2.03022602746,2.10876561879,2.1907049874,1.85941975408,1.89206764621,2.06002222669,2.13266606386,2.01588397792,2.1111171708,2.47222028866,2.73996215665,2.65644744079,2.47741094693,2.38840706487,2.74503607339,2.54590343426,2.63235014007,2.55568571617,2.44231264236,2.52311548868,2.58796600613,2.54224774358,2.388268651,2.29011885953,1.86886991714,1.82145121062,2.39338260647,2.46903034785,2.47635299981,2.31389688074,2.39532718727,2.55617749003,1.12979661341,1.05092539601,1.24160989506,1.22666084564,0.989991765631,1.0571364008,1.46950044753,0.960288304065,1.11681584125,1.01988538006,1.20301350071,1.19466903023,0.538850511779,0.0649398976252,0.222367335206,0.528272592966,0.437105251468,0.895853965054,0.178354786154,0.226960153737,0.141200364292,1.66311000578,1.73863105262,1.59188642717,1.62448605776,1.26880601079,1.17060276056,1.49217642573,1.27151369218,1.31920788665,1.96006494711,1.86303395294,1.70633306341,1.79753687288,1.97885425171,2.07016641805,2.08203434472,2.04981230997,0.410133882062,0.558854768249,0.640810365559,0.54282753104,0.697093416188,0.503933770969,0.572678195222,0.666136151604,0.137127060815,0.497767151022,1.00064438694,1.00455472453,1.09322650918,1.0950268255,1.45759832397,1.46356617054,1.19855535941,1.19294489632,1.29263744842,1.28564997027,1.37963954019,1.37823328017,1.43855136513,1.41548827755,1.25574670932,1.31769339348,1.18951610223,1.19137986787,1.28406645263,1.37065649665,1.36296254309,1.27808580063,0.740341042862,0.833464527304,0.906745917173,0.91269627091,1.16314703111,1.11242536417,1.57270316772,1.49867127973,1.55028758803,1.45225506031,2.15700741631,1.37149372284,1.46154423205,1.44840031508,1.1803469901,1.55392856995,1.47158595547,1.4107373886,1.50722399325,1.36994153593,1.42440848451,1.08271721165,1.27044900852,1.28426531261,1.31234268974,1.1558845648,1.24042877332,1.341013724,1.44403629712,1.49936655164,1.46829618143,2.1582771202,2.23850881384,1.96455452785,1.88626568694,2.05461784935,2.06599039869,1.79727370422,1.78086041927,1.6870224737,1.61571555066,1.5486276047,1.63056383631,1.71817820245,2.23565854475,2.16207650626,2.24287543711,1.54995945607,1.36242295598,1.3669943123,1.27057441512,1.27225530357,1.54751359459,1.56415285045,1.23127565521,1.22459747794,1.13765687217,1.06626627782,1.28119352356,1.38001214094,1.40424078773,1.15464092068,0.96835442632,0.929002528704,1.14384377431,1.06578994297,1.61631543432,1.6940627349,1.52793399781,1.51523654378,1.3515928879,1.3814654705,1.89596529047,2.06908796259,2.16497473408,2.16311212566,2.07414568955,1.98152174253,1.98490080373,2.25518386826,2.42434930515,2.33971015477,2.42354941686,2.39184712377,2.18520255983,2.28893475372,2.91994932577,2.7039466051,2.76930794898,2.67447824991,2.65148305517,2.83564780339,2.93027631269,3.00239872031,2.93903240148,2.67190651062,2.64581428184,2.76692497285,2.70187925056,2.80041284163,2.84247662531,2.75944611636,2.67104921031,2.55152370567,2.35724014007,2.41120557934,2.50841065549,2.08278982361,2.05980710061,2.12917263495,2.07928920676,1.97982819253,2.0653553969,2.02240716698,2.08779937895,1.91860904787,1.90235355085,1.98360092759,2.06519231176,1.38445602017,1.3850944018,1.29577608453,1.29333867493,1.76131765904,1.69894254681,1.61255768076,1.71961689591,1.60504615751,1.56024688202,1.85935013337,1.77170214934,1.76109759438,1.70049653863,1.56865398699,2.58648122245,2.6333342137,2.68609607789,2.71392363466,2.39844318557,2.26459350685,2.36250455232,2.82761215766,2.97318276496,2.57179677083,2.48466340913,2.48029239221,2.53889878652,2.80538548563,2.79314999785,2.93235561751,2.84144075853,2.29208895153,2.38913770212,2.42538830228,2.23588410986,2.14296320224,1.95985175316,2.10285681626,2.00986321598,2.42497400563,2.52211232963,2.37861214501,2.35656429341,2.46700892811,2.54249232346,2.33500192518,2.33579703416,2.40998154028,2.4060662431,2.51223122293,2.20076399362,2.21892364951,2.30392756995,2.37782453457,2.3582369998,2.26626929438,2.81299260711,2.64209654171,2.64132783772,2.71897982292,1.17100809286,1.07750772172,1.00841251643,1.04283463094,1.15135400092,1.33555057037,1.14185075698,1.28510346989,1.2009712786,1.68623336265,1.76728934853,1.48623477834,1.47319733737,1.22540241969,1.31554031101,1.2155671843,1.29678079189,1.39636434475,1.38752017078,0.879260028507,1.05165818999,1.12938718386,1.21890658726,1.06725446251,1.21513186976,1.21328274295,1.13107392622,1.12624108098,0.525967515926,0.542336172356,0.634438566488,0.551275730203,0.356283391151,0.817858403511,0.764507081513,0.619968645492,0.668626030153,0.766560438568,0.693014964237,0.2716911297,0.325230442966,0.120558768948,0.189595328514,0.163259070379,0.194093900912,0.111580291561,0.166343832876,0.254804004603,0.439810656711,0.360636523763,0.450003866235,0.275911977093,0.388900105118,0.296940248148,0.906959842601,0.846236914281,0.860015647069,0.919416354832,0.934948556299,0.575986626078,0.764506576663,0.484239455869,0.307161783301,0.392139909992,0.47342743327,1.42797813257,1.29663603653,1.32833694977,1.36134211587,1.49349417381,1.45836814318,1.46109970211,1.48634011811,1.41169533489,1.57755288584,1.55895675194,2.096640777,1.99961272285,1.70521140958,1.80445428107,1.69704672914,1.77578707932,1.60452364407,1.59408335674,1.76286858918,1.67380363231,1.96987235214,1.87862880586,1.9402762212,1.86606374007,1.9949110873,1.92383090144,1.83680397068,1.82316322446,1.89471067933,1.97932354658,1.19651827992,1.16587350362,1.12975374459,1.02737489614,1.06502103246,0.893241483947,0.992966068678,0.219433898755,0.349951348112,0.255963292177,0.497369449917,0.402196254507,0.893488049002,0.667189475359,0.836734613764,0.755477783105,0.586404359029,0.666298928929,0.605703536762,0.699624106768,0.794147515435,0.857093738491,1.88915947843,1.98848479665,1.60160239225,1.62318588349,1.73909958489,1.71862904921,1.79203382411,1.94627417902,2.01575724262,1.85169691867,1.83089731519,1.29388304054,1.34423614771,1.32168434781,1.00871699469,1.09476927439,0.925187353724,1.20284622724,1.38194670667,1.28157049002,1.37082448717,1.21996048738,1.30976982748,1.56617071512,1.66532657441,1.5785609551,1.52391877333,1.67849480328,1.72330270029,1.21691582759,1.11428284531,1.73166578637,1.72535927455,1.90412838967,2.07379534687,2.13397568397,2.22518602045,2.18072030031,2.11318223756,2.28405380883,2.30941192797,1.55133886289,1.55025523699,1.64226185978,1.64042828842,1.45985035587,1.45690536493,2.04691313679,2.11419566435,1.9966647708,2.08647497059,1.98286351303,1.98712359529,2.07172427782,2.15275307962,2.14563394012,2.06056368486,1.64499916685,1.72134752103,1.81320582756,1.54912212025,1.54874782724,1.4554139827,1.45639704128,1.73273739638,1.64184107125,1.64123734526,1.81921636882,1.89548302533,1.81478248347,1.7277649449,0.954041720749,1.04234163805,1.04536726984,0.977101967064,0.91227866066,0.820921961286,0.962564491484,0.987000835503,0.931836535261,1.08338301404,0.983346532023,0.715461412187,0.80673038968,0.64801554693,0.67954731108,0.840408726147,0.780007780991,1.82329478278,1.68528855689,1.66263934423,1.73027411311,1.61499109669,1.73197175769,1.58899427303,1.56875719505,1.63843212521,1.75279634253,1.67934536098,1.94501253937,1.85024257421,1.77963075675,1.96799332791,1.89638650504,1.80308008088,1.37410479721,1.28189515294,1.44896788319,1.45722168055,1.54627554685,1.72330472528,1.62647468476,1.71489817725,1.48343723511,1.473331345,1.65237982576,1.57387146705,1.6436083845,1.55506961794,1.89343823683,2.19599623793,2.04842284861,2.10208205941,2.03131741133,2.33301664052,2.31533104039,2.24840307131,2.15424569848,2.14148721345,2.2183801152,2.05794547364,2.15819684151,2.80720938973,2.39022137071,2.48553100712,2.47730459768,2.8224386872,2.75540400989,2.66397307727,2.63203103047,2.77468391063,2.67851137228,2.01199856997,1.8617607028,1.95420351546,2.03189202632,1.91783375264,1.84516843602,1.6122400927,1.54798645132,1.45797623944,1.55922686765,1.46099765897,2.1522679865,2.24084310927,2.13549029809,2.31542193633,2.20904892459,2.30079220324,2.81257112984,2.87346887189,2.80889484905,2.71574513491,2.23709399985,2.32174954332,2.40224264832,2.61341065154,2.6070070096,2.51011241117,2.88235451855,2.98719423668,3.04736898931,2.96906555383,2.88971545989,2.84703117993,1.38801544874,1.19841127155,1.23215761143,1.32730540291,1.35208299889,1.25796650665,2.50290681001,2.55720045187,2.55041506218,2.64053073251,2.70979116866,2.6718369428,1.44012694869,1.52060064452,1.60393957657,1.59361090317,1.50138941461,1.43117809013,0.590768023236,0.680666404725,0.576457157842,0.755429224948,0.899124201007,0.995324464285,0.8673334919,0.872987300482,0.705719778663,0.795578221375,0.607155185743,0.61163878207,0.704433742639,0.694629414429,0.784976541024,0.779078891469,0.475331386222,0.380425115727,0.318438946316,0.378392749754,0.520234951479,0.481510783706,0.438097466403,0.529103463395,0.604301484445,0.589530572546,0.498931331691,0.422340846817,0.271635434834,0.418081007458,0.324490702902,0.49139020048,0.327640370265,0.412901604451,0.335131861664,0.750639123956,0.608266316085,0.703932065403,0.711505525817,0.816690764725,0.821264345776,0.729365761788,0.641758481152,0.64882914224,0.740488971955,2.06885042922,2.19033019213,2.09636220903,2.13289398745,2.26027055765,2.22994891107,1.64411315684,1.52130263639,1.54554380474,1.48474123164,1.68178449287,1.655237831,1.6195250983,1.84156303094,1.97271314053,1.93933957017,1.77971614692,0.89214737253,0.872733531951,0.783700875527,0.788597505898,1.15102137457,1.0576489558,0.990640222311,1.02775773605,1.12777718476,1.18434666147,0.829364374526,0.732043425713,0.680913142624,0.714722728846,0.739702593088,1.01066978934,1.10021052346,1.11174000447,1.03538077655,0.866271868855,0.770985262404,0.755614306227,0.838151269134,0.928309037706,0.941754661075,0.951554072803,1.11022285597,1.02008855822,0.995480491698,1.15185848456,1.10498938893,0.948059604625,0.962881042613,1.00747439153,0.859500087851,0.797435839165,0.842172146418,2.01214784164,1.93782059645,1.77092836201,1.72645389216,1.65666335549,1.67614109879,1.81836685269,1.84357044921,1.88544732982,2.06798419042,1.99417586977,1.90406669768,2.05100673479,1.95886230352,1.13122466124,1.20677860042,1.18942891292,1.10227512354,0.931485562851,0.853837190897,1.03414863066,1.02257841751,0.960490016994,0.871943711158,1.06337942669,1.1065526349,0.961762582068,1.03930667788,0.946973536123,1.81887710142,1.98584257574,1.89624608633,1.81440828442,1.99002278457,1.90490627083,1.88602604578,1.96005342284,1.93708483567,1.84495329571,1.63213901936,1.71778343817,1.60181917261,1.6691684298,1.77689656197,1.79541417237,1.07410666187,1.14550002724,1.23261704693,1.21627313327,1.11976997224,1.81091104612,1.64163104774,1.7246452697,1.81021595832,1.75409732021,1.66275475139,1.97046442758,1.89133392748,1.81013934427,1.82217440015,1.91520354325,1.982443312,1.56582692268,1.65004023864,1.72944443695,1.56152213558,1.64437463533,1.72805151827,2.0571032581,2.15464496746,2.66004303756,2.74679326866,2.72505576562,2.78455189082,2.9755518561,2.90370509531,3.06834291511,3.00726035901,2.9150864505,2.88183604332,2.22799295601,2.31846312155,2.33139414143,2.2446581274,2.15570931408,2.15160945363,2.4188657753,2.49656581592,2.4165361065,2.50158880848,2.58808626702,2.59123993653,2.32232450982,2.23790449861,2.14248420073,2.1273007496,2.18464189047,2.22549342233,2.12826653665,2.11032702967,2.31286772605,2.21475091611,2.17144538507,2.21918033065,2.5068993213,2.46409006457,2.36449389091,2.31355700458,2.35725411039,2.45053176595,2.3500314034,2.28129693421,2.30452493448,2.39669959597,1.42632327458,1.36095874811,1.35092057266,1.26271833776,1.27699120903,1.18674141668,1.18264439345,0.824762835867,0.66327016889,0.725239880369,0.711231131337,1.0189056228,1.1054371079,0.660679735918,0.667228076255,0.748720812113,0.835928561694,0.461813049729,0.557719488794,0.498051901967,0.426341091732,0.58945920296,0.615719263632,1.75184767657,1.93858212646,1.90926221066,1.81433434547,1.87419445842,1.78269351678,0.705860766293,0.560728421891,0.657773201823,0.725952409969,0.832425536482,0.872321391719,0.912473178775,0.99951719782,0.972628994523,0.418415675314,0.251776363353,0.320839855002,0.623719100888,0.541235683933,0.619099948734,2.02279398253,2.07599711667,1.92210087281,1.87681616189,1.92341303278,2.02128832963,2.30342164924,2.34722390586,2.37905396821,2.2042965791,2.24780504271,2.17950363871,2.44462004544,2.50840777313,2.60080636587,2.63041749486,2.56047841125,2.46870351221,1.47452229351,1.40572426772,0.84989252214,1.02806047467,0.923081848359,0.930461913574,1.01718332375,1.01297499794,1.10161857681,1.09859242991,0.855905572481,0.953155189874,0.959607834442,0.802522672545,0.867968516917,0.841677372616,0.878734065382,0.779956271287,0.760825524991,0.935628723251,0.95398605432,0.552917922199,0.444837049557,0.542244706416,0.586580548243,1.40215386995,1.49622971366,1.52005170302,1.44910992357,1.35361289162,1.33034655112,1.23605340974,1.16204818234,1.24252691527,1.31024116058,1.2833965147,1.18653606036,1.11523384518,1.14499144262,0.464738304275,0.457002725791,0.309619920135,0.397989693874,0.296923700398,0.378988880703
    
};
const double THETA996[NST996] = {
    1.41384085293,1.69354523046,3.06396839898,2.96282828373,-0.0546440347069,-0.148197759291,-0.125992071944,-0.185857101175,-0.290302945755,-0.337954976391,4.44771928958,4.3432272422,3.69239903319,3.57581389347,3.80593651371,3.84352938298,3.83086000845,3.95590432662,4.06040927512,-0.837799104276,1.8666274081,1.86453099607,3.54589031269,3.6151544602,3.26341777849,3.36205018641,3.73008183871,3.59945239121,-0.49965343315,-0.44434137628,-1.16793806528,-0.195337767145,2.47882170223,2.362182902,3.18895960121,3.10483172497,3.20423023904,3.24535403982,2.35997054255,2.57343059503,3.44672649169,3.40877424172,0.269506217816,0.00889126361683,-0.0240965156078,0.388862933271,1.62570836182,1.00713859096,0.96131354609,0.955109964002,-0.450862982076,-0.34725235831,0.0369186273459,4.09941634455,4.16147457188,4.12042943211,4.2569327655,4.293797265,4.39139299594,4.65172370043,-1.53033371215,4.28500734232,4.17382700477,4.02968483168,4.13414168093,4.12712652269,4.1819359812,3.23478207404,2.99106173458,3.26232487039,3.16687468286,3.66481264635,3.44629888577,3.50401668757,-1.10071326531,-1.02115588024,3.80042216465,4.14498020927,4.50695493769,4.61033982276,4.67006766759,4.62334511176,3.97887703444,4.02008737488,3.94459705934,4.15010484173,-0.391404159596,-0.819385602352,-1.15399024907,-1.07159409486,-0.93925456139,-0.960049853102,2.6128872068,0.112991448787,0.214876871369,0.358548835494,-1.10490006136,1.88576510245,2.7102382988,2.61024676272,2.89556628576,1.86307160064,1.57512089886,1.71501908616,1.86837899435,1.98798744936,1.9791957693,1.68337350505,1.77901049276,0.451123452166,1.30484770236,1.14850767398,1.10752379662,1.05535276004,1.05921475861,4.26572522342,4.19186632787,4.1322966147,4.23183862345,3.80402721881,3.71490625884,3.41910511058,-0.781785707264,4.36587128863,4.40472605857,4.42884658533,4.52768591204,-0.984846857487,2.84025087921,-0.135343269721,-1.34957942814,-1.37943112358,3.79812968502,4.03877340409,3.15659536827,3.44362146845,2.65405889806,2.58115286983,2.36259926366,2.45633975425,2.50329433228,2.49580497386,2.76484923673,2.68166735537,2.60422530934,1.86911431836,1.86853623095,3.0475026461,3.08998555285,3.17945153836,3.23024654762,2.70982762625,2.4755142806,2.94774347993,3.22205789652,2.70727854865,2.71346766084,2.83807793245,2.89763580528,3.03673628908,2.98746921945,2.10129195399,1.07490617234,3.30513972174,3.08907849982,3.15076771556,3.24898735367,3.12404637005,3.22455020424,3.38759198019,3.292275742,3.42994201125,3.23885491343,3.3770912747,3.28065766597,2.91962971253,2.81558402252,2.84584318948,2.77799072312,3.10108836465,3.00610215828,3.14493688238,3.08675030718,2.9830453996,2.94674670493,3.0911060191,3.04697357097,3.24964584019,3.12983752227,2.67048789631,2.58579818261,0.230914125477,0.290702041807,0.133599625863,0.101508267805,0.177708096563,0.586217266307,0.541823698005,0.445268200164,0.857892296474,1.58183428609,1.55111496275,1.89886962251,1.9201482603,1.80089604575,1.72757831068,1.72815986065,1.77768081119,1.48971067566,1.59454960335,1.64185629041,1.67256634967,1.4206977909,1.45091600971,1.38444744051,1.28632293888,0.710381416247,0.641798732842,0.498533864183,0.558508749238,0.546097993593,0.657960240576,0.51348622897,0.410944436495,0.369575986532,0.428756988504,0.585126994568,0.528828911323,0.571679755247,1.02035019084,0.827271418054,0.891434377281,1.23057431953,0.861845612244,0.676691079213,0.811312968139,0.715280889692,-0.308779912602,-0.213708006203,-0.16770252089,-0.275540957191,-0.325201570175,-0.260401956586,0.138110541686,0.169109320826,0.261278640444,0.00696437039988,-0.108643924856,-0.0179756217633,-0.0968739229597,-0.139786846294,-1.55361156382,-1.49175803311,-1.51564911561,-1.4147615116,4.00529855202,4.45021858064,3.33571504017,3.5510811881,3.39910033357,3.51036473312,3.33862927164,3.4902185921,3.38778338797,3.34760354374,3.23298845552,3.43279177769,3.39184009943,2.93781334681,-0.875018802957,-0.905156508651,-1.45028450366,2.76372483694,3.23730178564,3.15160253319,2.9559516355,4.26366865842,4.39070388777,3.96814737772,3.55958996768,3.5771563279,3.77755133664,3.49742797038,3.96358794458,3.97260981565,3.69274347632,4.44814523212,4.35627375337,4.11513886576,4.07462572084,3.95682148915,3.95591644764,-1.2648739838,3.6537634712,3.74230090172,3.84524156913,4.46059407135,4.51641488924,4.12804476448,4.17733377745,4.1895169979,4.29571932286,4.35324133749,4.29610652124,-0.806946830434,-0.600328181652,-0.757317063481,-0.653002877876,-0.425243988264,-0.359360862192,-0.386222448121,-0.530538941761,-0.554676608826,-0.476539081818,-0.726303591922,-0.585440577375,-0.69120609887,-0.753591177382,-0.892852966192,2.03435226529,2.41738104476,2.07343190278,2.29000533562,2.67134548637,2.78828098877,2.81328075296,0.256577748829,0.868852041028,0.11177220188,0.205151069256,-1.09749967607,-1.26598197701,2.42103255344,2.72786018987,3.05735568422,3.01431797997,1.74735358848,1.73702811996,1.60117331563,1.63896480759,1.65262119042,1.67403664962,1.76351125996,1.77014434295,2.12222768743,2.1601193165,2.36388494333,2.22926280385,2.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   
};

const int NST1010= 1010;
const double AREA1010[NST1010] = {
    0.0124299296763,0.0125351810871,0.0120562856962,0.012375946706,0.0125941480088,0.0127945223199,0.0123495231232,0.012683752365,0.0118924571799,0.0123784183386,0.0126082093541,0.0123259763507,0.0126774174972,0.0125641155111,0.0125181129023,0.0124813613113,0.0126311091378,0.0125064245984,0.0125180115164,0.0124010360858,0.0126934006505,0.0122641033471,0.0122608327765,0.012287042425,0.0126050590514,0.0122942279071,0.0124566879501,0.0125056155249,0.0121910561936,0.0127460124488,0.0127676141388,0.0124788007833,0.0125333433979,0.012261769768,0.0120537417533,0.0117212622177,0.0118754187773,0.0116809995964,0.012306268984,0.012433943302,0.012604219621,0.0122148210652,0.0131504593833,0.0128066070005,0.0122759108436,0.0127883576715,0.0123919875785,0.0118448396031,0.0128052208767,0.012209549724,0.0126229039352,0.0127365023111,0.0122961256711,0.0116854580792,0.0122461079312,0.0123162955312,0.0148520441431,0.0119075599984,0.0115935811041,0.0128832603034,0.0118153980238,0.0118080078058,0.011823930501,0.0122057046292,0.0122074480664,0.0144344693889,0.0125427825633,0.0125194952293,0.0123660849415,0.0122320402518,0.0122585979143,0.0122928733423,0.0121550900372,0.012331404555,0.0122604157905,0.0126989702943,0.0124219735533,0.0123254685575,0.012698214708,0.0122437111951,0.012284794452,0.0126213309971,0.012326210442,0.0123607062984,0.012483317499,0.0128695057445,0.0119701931493,0.0125328798671,0.0127084566048,0.01220579679,0.0125119305054,0.0121237854928,0.0123099396207,0.0130339169031,0.0124599877103,0.0117868738617,0.012214159278,0.0116334490086,0.0128695228118,0.0126273337427,0.0123348956764,0.0125841505877,0.0127066223678,0.0122704581373,0.0126152382591,0.0123115395157,0.0121456977266,0.0123284123627,0.01208598949,0.0127080066477,0.0120296087782,0.0129074399965,0.011938046968,0.0123211373904,0.0116806293432,0.0126135703844,0.0123001557254,0.012431965604,0.0123284814306,0.0126722066063,0.0120640572833,0.0128147330018,0.0124209808245,0.0127914831285,0.0122309909393,0.0126523001656,0.0128296924494,0.012741246726,0.0127261310686,0.0126452330912,0.0122710857891,0.0122724581266,0.0125069843027,0.0123420094274,0.0123346440298,0.0123206185482,0.0125651400377,0.0127620687508,0.0122098125055,0.0130717107235,0.0127224033202,0.0121157858421,0.0126925987192,0.0126806288836,0.0123770979915,0.0124339684986,0.0125439204709,0.0118542463264,0.012498444723,0.0119955405934,0.012031825529,0.0121980450429,0.0125063138499,0.0120765751929,0.0127921151006,0.0121989796224,0.012696980681,0.0122694391412,0.0126200239892,0.0125064848701,0.0124071319928,0.0126348878018,0.0122145313309,0.0122929424916,0.0122940749765,0.0127261601851,0.0121660457344,0.012730457051,0.0127733589438,0.0122558120422,0.0123276617994,0.0123027429771,0.012761742278,0.0123621831097,0.0125851236599,0.0125891664888,0.0123781876932,0.012386484152,0.0125365755006,0.0123415494781,0.012657689798,0.0126171639845,0.0123502002319,0.012255696691,0.0137894509536,0.0121932260107,0.0121379847322,0.0117901580675,0.0127038969203,0.0121743572213,0.0122020096599,0.0120930034688,0.012077609742,0.0129371819965,0.0149812108795,0.0116187856541,0.0123839245375,0.0125322033086,0.0124727076447,0.012441829285,0.0125376486075,0.0125234197054,0.0124996267073,0.0122393053272,0.0124971637563,0.0123488097593,0.0125966019809,0.0124402694885,0.0124786875251,0.0125419428982,0.0122908854477,0.0122442992348,0.0126582465425,0.0125688108554,0.0124289953845,0.0123642447917,0.0125694336307,0.0125321439743,0.0123873267315,0.0120781225301,0.0123896657393,0.0119119819063,0.0119572350701,0.0120274786019,0.0124661043354,0.011989749628,0.012678807141,0.0123927930944,0.0120523087013,0.0127838817383,0.0122802607626,0.0121507950555,0.0121187209227,0.0127262215171,0.0122648711238,0.012695004371,0.0121827074681,0.0122866978262,0.0125525705007,0.0123572189504,0.0124551707958,0.0125240654046,0.0127268745697,0.0121952620293,0.0122881959254,0.0120626148221,0.0120956823003,0.0128720805318,0.0118694418325,0.011937237375,0.0128016779121,0.0124119054631,0.0127800302406,0.0118695274309,0.0126363831874,0.0124783383506,0.0130200846724,0.0127925452952,0.0127101696931,0.0126562386375,0.0125820803334,0.0116364151515,0.0142258833357,0.0119044810759,0.0122933412071,0.0118144673888,0.0132921457402,0.0119390489914,0.0143622704449,0.0124324608983,0.0125846984756,0.0126073159886,0.0122713566842,0.0122460277394,0.0123786840784,0.0117763720008,0.0129929059604,0.0120344869074,0.0124698387146,0.0114772076788,0.0129961070054,0.0128247872028,0.011720489384,0.0125142274463,0.0117504584064,0.0118095162155,0.0149872336949,0.012583446908,0.012200035066,0.0127592295689,0.0121844934289,0.0126805546913,0.0127109337902,0.0124113091243,0.0123391354644,0.0123184974238,0.0116621802507,0.0128776423391,0.0127895926562,0.0119637358563,0.0124268149713,0.0122292999059,0.0117816755543,0.0125705829427,0.0126236190606,0.0123530740324,0.0126736882274,0.012340687405,0.0124266921223,0.0126834204108,0.0125039977164,0.0124063376089,0.0127011460992,0.0122280097939,0.0124768018499,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   
};
const double PHI1010[NST1010] = {
    2.24639082309,2.21849567011,1.30195843331,1.84407574052,1.92209035602,2.32564078358,2.17326274065,2.08860420888,2.13671805105,2.11509715295,2.20792305752,3.11064047693,3.02468014701,3.02320506322,2.94095211194,1.89012118829,1.81130793762,1.73310489855,1.43126516321,1.44937794061,1.76831134201,1.6794232202,1.60642741149,1.57681969114,1.66212001362,1.49976128037,1.51215406198,1.333319254,1.1533155387,1.42787434794,1.64403276003,1.69729290714,1.59970755765,1.57288597517,1.61635822242,1.67460881724,1.60721751183,1.5095665445,1.51978424623,1.69283590848,1.61805746671,1.63722539876,1.44104603867,1.56507014695,1.27569597778,1.37712757937,1.46617980435,1.21823828469,1.56194354002,1.4780058009,1.43072946151,1.09858267466,1.09886974962,1.37051765888,2.01299591624,2.09779811144,2.22003364982,2.25718476956,2.2747160507,2.36899905666,2.21966647033,2.34534224694,2.25875952672,2.27822650196,2.25102580583,2.32628528601,2.04366082203,1.95247816232,1.88049536866,1.89063132511,2.22427686078,2.31674083697,2.61379138461,2.56081280986,2.66427116507,2.69199306575,2.91594252831,2.94724073213,2.85988073777,2.78161763293,2.79897968352,2.86031735443,2.95985547158,2.96952885963,2.85070817946,2.28322927297,2.29513365148,2.71253309157,2.17581069432,2.1980438639,1.85481847151,1.86590567862,1.88411325687,1.78312801126,1.79122649812,2.60267883895,1.75483357442,2.06365447401,1.61384948969,1.71783453747,1.63205204334,1.62321722179,1.56563362902,1.54690935485,1.36993206884,1.21665100112,1.4907976919,1.39283212709,1.34413366121,1.31685766753,1.60089534055,1.51099481099,1.44002774715,1.60296343244,2.0909904519,2.11873624581,1.83666966022,1.81871208317,1.99680937539,1.92759505203,1.98063738676,1.89351697008,1.32052734437,1.30544034841,1.39930046804,1.40617577169,1.13259222521,1.06079240533,1.19744396859,1.26284136086,1.34495256491,1.18263647363,1.1953691103,1.93112978174,1.86506507117,1.7423831219,1.76903310465,2.17013746921,2.09647970698,1.76504859586,1.95946291843,1.80539561363,1.89782708216,1.35149336551,1.52777127654,1.75165349396,1.73085250614,1.52605961845,1.67897260249,1.58613936247,1.40308971393,1.49972224888,1.51691448751,1.4438878269,0.741091791397,0.313547603813,1.01712097127,0.930299195795,0.769937726427,0.844607781742,0.852192261067,0.947985433838,1.02742868954,0.933374477997,0.803072624984,0.83632567515,0.704300913836,0.797516863863,0.9371265327,1.03263980927,0.191352987476,1.26582663723,1.0984453812,1.11155993471,1.19519706472,1.37356096917,1.34920627308,1.18581881143,1.25493527119,1.48500511931,1.41164177347,1.51294569075,1.42507471256,0.87001934654,1.36905740541,2.22281420841,2.24208612958,2.33599808933,2.13946151573,2.36190895013,1.49447431506,1.52846063362,1.38026009725,1.46261034936,1.61181549174,1.51694680949,1.34927241097,1.18429678944,1.26433082747,1.35995996762,1.12520948766,1.09773323563,1.1597107119,1.26981605458,1.2453562239,1.11461325156,1.20226969386,1.55065925832,1.52687686253,1.47761570519,1.38338013222,1.43151462841,1.36087680681,1.4496103859,1.31161174736,1.35653647141,1.28708227726,1.40651638666,1.4752397167,1.31404705306,1.25347097768,1.38073374136,1.33709005445,1.69751710375,1.43527443134,1.52887110202,1.01867639591,0.921333767944,1.23651317489,1.17689589225,1.07785081067,1.05475673015,1.2188813836,0.970095344136,0.895446679685,0.553793927617,0.467837194473,1.62901697644,1.77335026396,1.67501650662,1.74487492707,0.989069295727,1.05421340435,1.06560019728,0.967199973071,1.30690554369,1.13609138169,1.13363619879,1.21604842986,1.38675764959,1.29410765762,1.13366142132,1.23608817295,1.27609533836,2.07972023828,2.52354821761,2.36515678122,2.19529019958,2.02356973863,2.05880900866,2.18660298751,2.17093381574,2.25390603204,2.34126718313,1.44360908178,1.5305789621,1.60977351421,1.4306783511,1.3906358458,1.72219733523,1.64821988687,1.78858747913,1.71615188777,1.76784851652,1.67181811013,1.44572705231,1.41329283739,1.53975477348,1.70934577896,1.5400372696,1.61352046883,1.80661684189,1.72410302582,1.80491206279,1.71703324125,1.62628973017,1.6209707617,2.49200699091,2.39109330512,2.34889991762,2.3986838792,2.70193123673,2.49944423231,2.65511680183,2.55140903454,2.78362844004,2.42409850498,2.49205574609,2.39775141775,2.37469572094,2.49422740309,2.3898689198,2.21682539622,2.02411091887,2.14781777217,2.05307268895,2.18711713653,2.05760965423,2.08913667754,2.32387485099,2.22896011333,2.2345224019,1.97477363059,2.05589128951,2.06051826534,1.97594308911,2.14694540117,2.14353343967,2.66807358556,2.72411529597,2.70067303773,2.82646946916,2.65707355015,2.5627500496,2.55803606986,2.51693404866,2.82250782901,2.80308405943,2.87193360173,2.72146782097,2.704211616,2.6668197071,2.12355140541,2.05548121878,2.13640981453,2.03253110203,1.96495536932,1.95482583607,1.8293819002,1.81520854315,2.01630622832,1.92758560339,2.08519670266,1.91357466077,2.06812138358,1.98528270117,2.6655832191,2.81690109213,2.76442629014,1.96564787228,1.91024001399,2.04315468758,1.94725873206,1.68850579946,1.46125290388,2.07191294737,2.167234327,2.18762038502,2.00461975014,1.91453248637,1.844985574,1.79253899864,1.88573791609,2.13501642518,2.05774620219,2.02752527896,2.11517753096,1.88322580978,1.79322932915,1.78201559368,1.86119132078,1.95331622559,1.96417321732,1.95149015007,2.04805362066,1.19206777042,1.25098688352,1.26968424661,1.99586385892,2.07204027789,2.18728336843,2.17016706254,2.02992499412,1.94146376325,1.93330012947,2.01262383019,2.11498178261,2.10568547511,1.12685001982,1.21614051316,1.22435788983,0.59206176905,0.627422670975,1.05919738942,1.09455123711,1.02407124409,0.92773623507,0.896008291211,1.22071471226,1.34854925946,1.32462497392,1.15399468956,1.28600642975,1.19588027359,1.81887503372,1.84111093867,1.89021981391,1.98496644303,1.93364722751,2.00642929627,1.21299355198,1.25344768514,1.68312199965,1.85893698011,1.85659950713,1.77082402355,1.774579652,1.68967349871,1.68438348753,1.77447662816,1.58714698224,1.59235786746,0.521031822426,0.488786343813,0.563528153365,0.62470065738,0.660229462727,0.689770247542,0.761372993532,0.754672806272,0.679982213699,0.871610508616,1.0192607799,0.853325261904,0.932553014185,1.12620433145,1.0341825248,0.96568683018,0.994502091106,1.08847511154,1.15187063291,0.505665055404,0.397464949266,0.409483838531,0.583388429526,0.470955953991,0.28506213523,0.335534946631,0.42887960488,0.76940336783,0.59510410302,0.562800236199,0.616752643971,0.705856963768,0.619079816811,1.05302628843,0.678840736282,0.773215724082,0.757415816455,0.672852188645,0.846257314235,0.855852548832,0.510041580707,0.438040698267,0.349843697385,1.30620799552,1.32557147854,1.14870303134,1.21289935843,1.25317018418,1.16970596582,1.57349209469,1.75388813125,1.677613464,1.58810819549,1.02744876052,1.08707545885,1.19540287331,1.30203925998,1.34738341908,1.29856035559,0.75804582982,0.719273560423,0.908609220405,0.8527561047,0.994720321826,0.897682899421,0.863514891436,0.90433951557,0.850692851905,2.23703626148,2.35533848679,2.29092708484,2.30240060545,2.49885646684,2.46576026659,2.37843592055,2.12330088137,2.1726594054,2.19456669567,2.5156014027,2.56543264492,2.50314745913,2.4123053399,1.45153168297,1.52710329806,1.28551974185,1.23182465483,1.30406564038,1.13808157807,1.11950772767,1.19490719061,0.996422997149,0.93272586711,0.831230912614,0.793204711578,0.960486531736,1.04759844148,0.892487591907,1.07008556288,1.43599671365,1.47257732956,1.56117568829,1.50100148925,1.59747922864,1.62122700232,1.22648737888,1.31628893543,1.16104995988,1.1882186,1.28288698725,1.3457316628,0.566445940732,0.660615348844,0.464538277309,0.524109243737,0.491052009727,0.481394632324,1.47004712358,1.59139614986,1.49942611556,1.65370000378,1.5282862326,1.61976956002,1.60207942444,1.76609231814,1.69151170085,1.58771088954,1.66570166131,1.75453841899,1.35488695809,1.30838257825,1.15968966858,1.04609155904,1.14733863496,1.20439419118,1.00189934914,1.05902250912,0.8085535074,0.637448433391,1.67601098483,1.76813765028,1.86187837664,2.03650530524,1.9695805143,1.88391049829,0.824232082145,0.897212431399,0.732814002613,0.886440878621,0.721478550665,0.802477790825,1.27693658644,1.22207637803,2.00547439411,1.91516075537,1.8428050074,1.85505144851,1.94495561337,2.0310759366,1.94102051675,2.01917294702,2.11669075554,2.10861239168,2.72197688641,2.55003910141,2.45883264749,2.37531956261,2.44911253668,2.3525861555,2.27255779901,2.28543103856,2.1979694778,2.12855457413,2.11134209208,2.23133268395,2.27862366907,1.80184609255,1.78289636724,1.89488731565,1.96450009603,1.85796633901,1.94641296537,2.28440337085,2.2784855409,2.35040705171,2.64384039203,2.47777049598,2.44457342378,2.46617215897,2.63728769922,2.54019398499,2.48356151033,2.63590319087,2.53631394171,2.81126059089,2.83174873005,2.90931878408,2.88003465687,2.99673120214,2.9142645705,3.07520752915,2.9993311551,2.11602320743,2.07324264183,2.20907509357,2.11759974806,2.79459025895,2.96645850433,2.86974300017,2.79533644281,2.95886250681,2.86293416118,2.56831807173,2.66827107578,2.70357649628,2.62488364771,2.53171238211,2.4568638145,2.62861172299,1.72788706454,1.61726448457,1.70784665141,1.65303792872,1.5576804674,1.54178496977,2.3649073789,2.29248297019,2.31095464992,2.52170341837,2.61732959188,2.46216441801,1.96950284438,1.92093281267,1.82269954436,1.77581181064,1.76774580648,1.82181804965,1.91690456922,1.80389281747,2.10461962889,2.06376995676,1.59834747348,1.65495993224,1.45028154566,1.49734596296,1.56645982517,1.54969886524,1.67493362055,1.75241758746,1.63444693144,1.72848994605,1.90189879632,1.71686330668,1.7890865373,1.88128004016,1.15279753701,1.13882471788,1.07384013259,1.04175976131,0.955899631132,0.972180468263,1.15474623031,1.13877861392,1.29808388659,1.47272719067,1.4086154843,1.32246175443,1.45445950227,1.36620067419,0.34881874316,0.404883166008,0.398081556916,0.560508313604,0.636388317595,0.536232411535,0.491623955621,0.574766469401,0.673156187393,0.665215864768,0.593479025709,0.497767345949,0.486314667695,0.992799184525,0.894203922861,1.01721272126,0.935458156198,0.855695278581,0.853226929957,0.717768867303,0.752569213838,0.790123521544,1.08960886189,1.02078727708,1.06476262755,0.967123175016,0.890930735425,0.920320522132,0.348267760053,0.422653104111,0.731028005372,0.772351141415,1.22858427356,1.33481321495,1.24613526226,1.18803121463,1.34637697798,1.39479189922,0.777808532747,0.931089396606,0.871449333664,1.04717070808,1.14598573541,1.06510047684,1.00522660061,1.16472429104,1.20417221136,2.32861457067,2.45009595556,2.36144847928,2.3912331892,2.5187347413,2.49250705809,2.10665482544,2.20017015011,2.06443433428,2.11437795219,2.25620308765,2.21224780857,2.36051059455,2.26017086737,2.33575302192,2.402421836,2.23685462018,2.20268829782,1.69264181985,1.39733196695,1.47047377169,1.41951354048,0.965687056863,1.03267820726,0.841515149034,0.864511513496,1.00425559878,0.914317872176,0.180208645074,0.320334335483,0.276004466949,0.0103118360256,0.112545019408,0.494970178565,0.104665905392,0.164379969024,0.689635685506,0.775270197356,0.673011125182,0.627225027554,0.37759123694,0.388958471721,0.286216662103,0.188241813187,0.571419744158,1.16408219291,1.49254576725,1.47504651225,1.37262999055,1.41315576576,1.32230472203,1.36747069285,1.38119049522,1.47182523071,1.48295872974,1.52866557668,0.736509383756,0.766127879344,0.576220149988,0.646364646366,1.24057539301,1.18553244705,1.31232500099,1.28909665834,1.01262652854,1.11031582977,1.1424431482,2.62809919648,2.59349659581,2.50183228326,2.54789248206,2.44609297397,2.43217556388,2.73494713271,2.80108441953,2.82191540233,2.69784534223,2.62358063121,2.64144255191,2.28903986397,2.20457710348,2.20524782072,2.29252475809,2.38611357788,2.38176934467,2.46775309751,2.34686843452,2.36825683953,2.4141830842,2.51249938175,2.54583753554,2.72878653126,2.63532668449,2.74690488457,2.65969882922,2.57095254398,2.56315228468,2.2087758321,2.24894660995,2.34941855593,2.25803172538,2.39395819738,2.34177664339,2.38174325983,2.4642589381,2.54260323271,2.51561471099,2.35887777393,2.41574082089,2.65515249871,2.76570106949,2.75227098803,2.67562100907,2.48397648333,2.41216698905,2.40458464831,2.49943443753,2.58811475799,2.57976395459,1.89488107906,1.92463533277,2.0133508397,2.07814196287,2.04844069045,1.9540376988,1.51757237948,1.60968724519,1.45944722337,1.50630112611,1.66668536588,1.62113474349,1.8419019987,1.82707839106,1.67448349552,1.76425392159,1.65930600271,1.73436141947,1.09365357286,1.07278281425,1.04195702688,1.04573090619,0.258567867427,0.0787725599242,0.150712957154,0.229786196632,0.677783545524,0.643737968713,0.777534107933,0.806798431268,0.72860389276,0.473402291137,0.603879393621,0.512765600257,0.439757785691,0.632283574553,0.573338358331,1.82345239532,1.78834281866,1.92525142233,1.98120532204,1.61990361061,1.69053203406,1.53617708754,1.51372026172,0.467600840888,0.438680301874,0.338714043557,0.481034849242,0.295884025156,0.195969052718,0.185954152475,0.285450408752,0.368521738986,0.372853429143,0.207575183808,0.158325887828,0.23533067065,0.323340268617,0.359842398443,0.313807438993,1.23234376714,1.24901290972,1.35380202917,1.32062867512,1.42386307811,1.44046797215,0.562760328252,0.612363060357,0.711274201606,0.755782342516,0.706965261375,0.613832897999,0.946136101426,0.850073500312,0.786943577745,0.827624612573,1.08086689794,1.07549737828,1.12441515926,0.976381217754,0.926612034453,0.98262858517,1.06115758157,1.02555734095,0.932549236464,0.873668780173,1.01022076927,0.9161849355,0.959563386799,0.97105258994,0.902109857959,0.874343409215,0.875369955677,0.796650122804,0.977464891462,0.96412897376,0.90476826139,0.813302261932,1.78386957924,1.93404066263,1.84351786345,1.58574524923,1.56454076121,1.63850844573,1.62958217561,1.7389869025,1.64819813256,0.311643224822,0.413709322278,0.257070938853,0.323134832419,0.460581676979,0.42017138893,0.544468224131,0.710075772618,0.745989405454,0.723476544838,0.779209896671,0.624296261686,0.795388327733,0.632524441411,0.709433159572,0.65340255563,0.746480709458,0.811710428205,2.15394363363,2.19377391092,2.22661726128,1.81079372602,1.73580676335,1.68170365039,1.70325284156,1.75798671849,0.652799758584,0.544503209718,0.632741559209,0.585919821341,0.486370539308,0.464098396535,1.90851219416,2.09820114528,2.06370539078,1.97254843071,1.85749638152,1.9333108424,2.05473878692,2.03144487755,1.81571291739,1.79844845693,1.90850631407,1.87657280498,1.99017303578,1.97541508973
    
};
const double THETA1010[NST1010] = {
    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   
};


const int NST1196 = 1196;
const double AREA1196[NST1196] = {
    0.0105413280503,0.0104684519079,0.0106691150452,0.0103394603654,0.0103664994121,0.0105256950535,0.0105122734251,0.0106738694517,0.0100294481215,0.0107387747231,0.0103714552469,0.0102553599552,0.0108393971118,0.0100254841885,0.0106813192593,0.0108000767359,0.00996876674383,0.0116690910713,0.0104894586529,0.0100870699359,0.0103024258835,0.0102543865634,0.0104841027585,0.010370849411,0.0105334564756,0.0105733679033,0.0105395048446,0.0111017191903,0.00982437570698,0.0104734639299,0.01058292671,0.010761337823,0.0100814243555,0.0102489960059,0.0100766263298,0.0100708166792,0.0109961564616,0.0101003056023,0.0102030450105,0.00999864780198,0.0106810620315,0.00989274892885,0.0102105016332,0.0103985820081,0.0103397354438,0.0107401556934,0.0110557964424,0.0104527915134,0.0105768727994,0.0107396469992,0.0102084948769,0.010400693081,0.0106007057951,0.0104944960259,0.0105845336627,0.0104131811371,0.0106054613707,0.0104764313124,0.0106024853212,0.0103473693542,0.0106511463271,0.0107398702769,0.0104174349402,0.0105692941786,0.0104133143245,0.0106676889015,0.0106739545143,0.0105578510927,0.0104540566879,0.0103487721351,0.0107639906508,0.0102549418747,0.010221418405,0.0107226846025,0.0101819883419,0.0106037370125,0.0104032094461,0.0105631930731,0.0106373054183,0.0103275797804,0.0108041690475,0.0102778224321,0.0107507869777,0.0102028794199,0.0100683229828,0.0103393960485,0.0103319454066,0.0105326927412,0.0107138536692,0.0102771441278,0.010397955464,0.0103885572623,0.0104558967874,0.0103578584587,0.0108559790899,0.0107349105976,0.0105563043499,0.00996571182433,0.0104489201232,0.010450217357,0.00985655555083,0.0100949377995,0.0106590914123,0.0105325707841,0.0106435995496,0.010428294729,0.0106167297473,0.0104901182397,0.0104559364111,0.0103438008893,0.0106557354763,0.0104097313614,0.0104741261666,0.0107473613022,0.0104235775329,0.0104859044507,0.0106835082259,0.0100245402692,0.0102322530641,0.0104577375395,0.0104465599201,0.0106543315422,0.0106106531093,0.0106193985011,0.0108439513215,0.0103997046333,0.0104710557648,0.0102720391437,0.0102888217542,0.0106873263584,0.00987433435392,0.0107463142361,0.0103814359287,0.0103601233673,0.0106930550552,0.0105205752269,0.0105460779841,0.0105710474284,0.0105490914623,0.0100186299285,0.0100223136968,0.0106977558575,0.0105149625334,0.0105473287249,0.0110518157187,0.00993869851403,0.0105164054639,0.0105260357096,0.0105634334051,0.0105676410737,0.0103681048245,0.0105438919582,0.0105392784988,0.0106394395784,0.010442023957,0.0121027854162,0.0102942780059,0.0105125387183,0.0106771865372,0.0105553392779,0.0106890632829,0.0104110504342,0.0106597983192,0.0103859192589,0.0106835248333,0.010441230153,0.0106544599268,0.0103605174719,0.0107235192019,0.0127631379934,0.0105671148665,0.00998227870515,0.00990562774348,0.00997504259897,0.0113405288869,0.0105821372483,0.00993909399229,0.0104894151544,0.0104164648344,0.010046550741,0.010488139058,0.0123317484939,0.01027833154,0.0122146886712,0.0102847272445,0.0107121221424,0.0105800618209,0.0124849653291,0.0106877930344,0.00975210980363,0.0106028714768,0.0104556333156,0.0103280693403,0.010555217428,0.010546479007,0.0103500870003,0.0105118409917,0.010756676416,0.0103527546049,0.0104932588313,0.0105552903787,0.0107843175455,0.0105513405432,0.010534363238,0.0104051757541,0.0108427652908,0.0102992011662,0.0102607420711,0.0103572048254,0.0106929960984,0.0104728811771,0.0102008475302,0.0101586476057,0.0107638510766,0.010341407631,0.0103819534185,0.0106776875671,0.010109141918,0.0109197310208,0.0111719366537,0.0102386791147,0.0103383778244,0.0106354331252,0.0104506213037,0.0106225881791,0.0106805304194,0.0105871442197,0.0104886717073,0.0106561286035,0.0106966541817,0.010482341442,0.0104386145726,0.010524072449,0.0105889832514,0.0100612010769,0.0105679105271,0.0106337267556,0.0103427682942,0.010482371405,0.0104812768048,0.0105540427753,0.0105326670512,0.0104119944991,0.0104968887546,0.0106000180295,0.0103847916202,0.0106625262926,0.0104322779155,0.0106536375604,0.01044497673,0.0110863139093,0.0104827856633,0.0106537377067,0.0104844572201,0.0105846131926,0.0102513765916,0.0104360229361,0.0106668066431,0.0106662599567,0.0103706016138,0.010483471806,0.0103604901782,0.0105261507867,0.0104922550924,0.010293515267,0.0106955907242,0.0121120747249,0.0107338050864,0.00990238136536,0.0104414002977,0.0105858478239,0.01036782393,0.0102529016619,0.0106648348898,0.0101810414926,0.0111502829087,0.0100633742783,0.0105987636134,0.0104280217727,0.0106480946281,0.0104894007919,0.0106619817633,0.0103828923064,0.0106920999957,0.0105562383272,0.010539079371,0.0106802953612,0.00986251518471,0.0106528646955,0.0104567304616,0.0104606990552,0.0103891834661,0.0107519664916,0.0104078396337,0.00986313007667,0.0105740454622,0.0104551815171,0.0104360528675,0.0104387098591,0.0106226615774,0.010494138006,0.0108076122362,0.0106336326959,0.0104211189729,0.00985909965503,0.010608742492,0.0106911476268,0.0102849762304,0.0101055598053,0.0104590759743,0.0107180344541,0.0107546567125,0.0102068741647,0.010352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0962719,0.0107220117559,0.010362194416,0.0103656409005,0.0107171695681,0.0107942424079,0.0109114381706,0.0103217584572,0.0106394632545,0.0108275571859,0.0102993603503,0.0101031258984,0.01029644255,0.010194137422,0.0110847895735,0.0106056448133,0.0104447371265,0.0103108042388,0.0106835698109,0.0105484902106,0.0106420309846,0.0105739698147,0.0104450314481,0.0105665651767,0.0105267569441,0.0108582233585,0.0100157484839,0.0103287825216,0.0103580097878,0.0107676594033,0.0102350183492,0.0104200613453,0.0107943005828,0.01061001635,0.0104432231174,0.0102620458187,0.01074074281,0.0103557392302,0.0102267023788,0.0109437258763,0.00998568820048,0.0105123278531,0.0104989176643,0.010492289828,0.0106016397796,0.0107174018357,0.0104430735479,0.0105689421919,0.0105378739185,0.0104425018359,0.0103828649677,0.0104119645856,0.0106714432754,0.0104412019371,0.0106699189407,0.0104147937356,0.010437277164,0.0105880700834,0.0105217491498,0.0110562257497,0.0105563399039,0.0106241491893,0.0104876163215,0.0103810054003,0.0106984524735,0.0104021187195,0.0105692420448,0.0105019155161,0.0105418172561,0.010699466536,0.0100423266327,0.0103761360446,0.00985667890422,0.00999199598108,0.0105316282455,0.0105739456971,0.0105929522968,0.010510312118,0.0105861478761,0.0105515537672,0.0105475195892,0.0105296505571,0.0103952432968,0.0106852822386,0.0105460073128,0.0112915970621,0.0103139288665,0.010706741432,0.0103127903612,0.010715614148,0.0103470180004,0.0103877115346,0.0107079185885,0.0104348854557,0.0105735676763,0.0103480768755,0.0106606847913,0.0104756773659,0.0105942651619,0.0102539697446,0.0103924589355,0.0104840815671,0.0106563792819,0.00977996205358,0.010856977039,0.0104821689963,0.0110848608707,0.00990288979203,0.0111748762927,0.0100734300484,0.0103199973845,0.010661143181,0.0107719809971,0.0100106249864,0.0103783372224,0.0103948463042,0.0104641648236,0.0105968260736,0.0105622355168,0.0104597360585,0.0106738594487,0.0103125707824,0.0102550813313,0.0107548419136,0.0106234847672,0.0104440004807,0.010507127359,0.0105965477158,0.00986195320277,0.0105202956167,0.0105257387212,0.0116282204944,0.0103918430359,0.0123132813577,0.00989134829845,0.0104834586074,0.0107037756302,0.010118839989,0.0101238686413,0.0113031732712,0.0101294334197,0.0104912948816,0.0103622547448,0.0105276236603,0.0105470527167,0.0106348190959,0.0104596236973,0.0108818476776,0.0112111607113,0.0106873069131,0.0102588250845,0.010880432215,0.010089655822,0.0103914698952,0.0105813561989,0.0104050871835,0.0106776944698,0.0105560616852,0.0105139988658,0.0106706404518,0.0103578271632,0.0107213616644,0.0102640044167,0.0104930892839,0.0106622240966,0.010543224538,0.0102885480743,0.0105893256349,0.0104159556197,0.010828008363,0.0101687861367,0.0101203134104,0.0110675828415,0.00979829244324,0.0105211376691,0.0103741103697,0.0106648211362,0.0107029997572,0.0102861554528,0.0102883788416,0.0105147138665,0.012528715277,0.0100680295644,0.00999416623141,0.0105380554314,0.0107178789057,0.0105820525677,0.0104117149345,0.0105268474132,0.00979281685892,0.00976628410851,0.0111711657112,0.0100905885315,0.0126440839844,0.00992647126683,0.0103867776955,0.0103927894556,0.0106740220206,0.0105234269965,0.0104405808871,0.0105989080067,0.0105772285568,0.0103555507923,0.0105403800597,0.0100160601848,0.0103243282654,0.010780805974,0.0105939044194,0.0105804121349,0.0104924452737,0.0104147704275,0.0103981276532,0.0106935697245,0.0103982082259,0.0103188948232,0.0107848548425,0.0104042969134,0.0107585688659,0.0097388702479,0.0102478837781,0.0109027155225,0.010592031862,0.0104394689929,0.0106714874087,0.0104119132158,0.0103089989265,0.0108178938453,0.0102122142193,0.0107553221452,0.00982443275802,0.0107491341003,0.0099184707404,0.0122984453185,0.01023304204,0.0104431923249,0.0104513020286,0.0105386075706,0.0103492179854,0.0104942258253,0.0106246589642,0.010502577223,0.0105799625312,0.0105293990786,0.0105452535444,0.0101612150281,0.0100121148462,0.00995625993227,0.00999261975487,0.0101974763915,0.0105943331114,0.0105317119961,0.0105416015927,0.0104297027931,0.0106445010797,0.0104011583358
    
};

const double PHI1196[NST1196] = {
    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   
};
const double THETA1196[NST1196] = {
    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   
};

const int NST1210 = 1210;
const double AREA1210[NST1210] = {
    0.0105815883748,0.0102644697028,0.0104742230477,0.0101228244027,0.0102778786277,0.0105767279545,0.0102115947054,0.0104148922907,0.0104393595463,0.0103726242421,0.0102692103925,0.0103217424558,0.0105131183484,0.0120667339444,0.01022560461,0.0104616103637,0.0103126447991,0.0107995393712,0.0115537350518,0.0103980021895,0.0104701261581,0.0104202677378,0.0104032617992,0.0103175669261,0.0104961212921,0.0105548146995,0.0104372123936,0.0106007132435,0.0105827946548,0.0102469637394,0.0101932987443,0.0105293486584,0.0106285571503,0.0104933508411,0.0103611740815,0.0103961454428,0.0104170163534,0.0105174286489,0.0099753028681,0.0102834549034,0.0104068022485,0.0104420427935,0.0103811507109,0.0104252593459,0.0103063172844,0.0100554913097,0.0109846527399,0.010321035523,0.0105077330421,0.0103035458075,0.0104128387912,0.0103882853077,0.0105752463397,0.0105611618263,0.0103449475104,0.0103132287976,0.0102283922993,0.0102343914771,0.0105934950677,0.0103998604332,0.0103044361257,0.00987679968378,0.0105876851044,0.0104631508568,0.0102559503428,0.0104037420954,0.0102516577104,0.0105767282596,0.0104523685296,0.0103347920941,0.0106589337092,0.00996380546814,0.010108243519,0.0103099151758,0.0102914590053,0.0109198980792,0.009964430837,0.0102963650385,0.0104925752787,0.0103666477341,0.0100911068216,0.0120841664683,0.0102857274078,0.0109600175455,0.0102958181392,0.0104432663056,0.0103189035617,0.0102832458158,0.0103560590655,0.0104748686079,0.0105863982892,0.0104943774439,0.0102965851622,0.01054290173,0.0102691459518,0.0103406991862,0.0103406962665,0.0104727307703,0.0106172361432,0.0105470190165,0.0102622973396,0.0102160239831,0.0103796467278,0.0106947182487,0.010714446147,0.0106740638035,0.010690951782,0.0106880805801,0.0105630808166,0.0104898188451,0.0103757060715,0.0102289095535,0.0104200361736,0.0102781971857,0.0105440703406,0.0101065645837,0.0104037406759,0.0104520907029,0.0097627893333,0.0100988158698,0.00988555472511,0.0099786861237,0.00965370089592,0.0125030532463,0.00988210906848,0.010299173925,0.0105361639788,0.0103899148201,0.00971535743967,0.0105957302075,0.00982670796505,0.0101792440939,0.0102284088233,0.010539932162,0.00991278333349,0.0105110118218,0.0102540782241,0.00986942374763,0.0102491043966,0.0100552612772,0.0105577024759,0.0102641956867,0.0104540626571,0.0102125829929,0.00983627521059,0.0104080262433,0.0104193734776,0.0105448821806,0.0103666311533,0.0102947016475,0.0102661842223,0.0105621394289,0.0096992980693,0.0107708638655,0.0098979620282,0.00965283760768,0.0128903307138,0.0101955664823,0.0103132466465,0.0104420204548,0.010277925134,0.0102488695992,0.0106181619889,0.0103044496208,0.0105367002053,0.0102527160946,0.0103015799929,0.0105684044325,0.0103607349557,0.0104381654239,0.0104243973608,0.010344058014,0.0105035426792,0.0104471079359,0.0103854048374,0.0103043647427,0.00980962843679,0.0112293928536,0.0101798815941,0.0105441072953,0.010540281906,0.0103908639322,0.0105214042198,0.0103117794916,0.010296991709,0.0103164857432,0.0104867610257,0.0103228916973,0.010349554102,0.0102588182716,0.0105896802269,0.0102398876233,0.0105011514741,0.010371464687,0.0108026478126,0.00984867498031,0.0100598352636,0.0103403446021,0.0101329989664,0.0101964363164,0.0108329295962,0.00981355697703,0.00993604973807,0.0116705197684,0.0101131236941,0.0102661011738,0.00993891527786,0.0105484632863,0.0100357804769,0.0103336120241,0.0103833340105,0.0100996097185,0.0107883755675,0.00976243221501,0.0103726823229,0.0102970231156,0.0103873972098,0.0101840275449,0.0105141745996,0.0103306257918,0.0105384625792,0.0102934852398,0.0104748143175,0.0105852990553,0.0102324895736,0.0104991879776,0.0103477484654,0.0103363527839,0.0100908358678,0.0121087768377,0.0100011366004,0.00990217522895,0.0105757765571,0.0104523321884,0.0105176875887,0.0101361445671,0.0104233794565,0.0104199584909,0.0103533837002,0.0104369976822,0.0101144032396,0.0100306965546,0.00979897295644,0.0109607159854,0.0103759182024,0.0102144418933,0.00995550156391,0.00983018115058,0.0105038438099,0.0102826134614,0.0107485448589,0.010133050021,0.0106006782045,0.0103215580486,0.0106308432735,0.0096580254756,0.0106480095225,0.0105660108159,0.0102722516355,0.0105645102348,0.0102211605036,0.0102680951458,0.0105453789053,0.0104209609716,0.0102708224938,0.0104504505926,0.0103722572591,0.0104885925456,0.0104430093234,0.0104373786661,0.0103979297728,0.0104552322245,0.0103678905248,0.010492343908,0.0104883486149,0.0103630832353,0.0104215618951,0.0103773136011,0.0102754466101,0.0104600754232,0.0105403200067,0.01037977422,0.0103190193238,0.0104464777031,0.0104887116206,0.0103765017187,0.0104511273858,0.0104599323375,0.0101823087867,0.00976869496094,0.0106456612029,0.0104006365873,0.0103526006817,0.0105185015193,0.0105259659,0.0102554934394,0.0105948047764,0.0102222578007,0.0106259104843,0.0104516634894,0.0104405860361,0.010714987457,0.00997604858463,0.0101797681823,0.0102044898556,0.0105375652157,0.00998694889754,0.010377928368,0.0104752946476,0.0103520998581,0.0105082117879,0.010123226609,0.010371494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   
};
const double PHI1210[NST1210] = {
    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   
};
const double THETA1210[NST1210] = {
    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   
};


const int NST1396 = 1396;
const double AREA1396[NST1396] = {
    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   
};

const double PHI1396[NST1396] = {
    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   
};
const double THETA1396[NST1396] = {
    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   
};

const int NST1410 = 1410;
const double AREA1410[NST1410] = {
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   
};
const double PHI1410[NST1410] = {
    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   
};
const double THETA1410[NST1410] = {
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   
};


const int NST1596 = 1596;
const double AREA1596[NST1596] = {
    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   
};

const double PHI1596[NST1596] = {
    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   
};
const double THETA1596[NST1596] = {
    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   
};

const int NST1610 = 1610;
const double AREA1610[NST1610] = {
    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};
const double PHI1610[NST1610] = {
    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};
const double THETA1610[NST1610] = {
    3.16383736864,3.22592112967,0.447316867188,1.77438754874,1.6955163572,2.8905268851,2.81187973107,2.93541301582,2.89324955894,0.165367712105,0.892869119268,0.477350922799,0.433691456685,-0.131762220569,-0.0187543814041,0.0395478975425,-0.0740850335772,-0.0868891466392,-0.0276271829491,0.104404587802,0.378992590377,0.37132350609,0.328481047478,0.175753815553,0.247652363501,0.181349564627,0.361816810972,0.365928282068,0.334151990279,0.324372776637,0.253886155326,0.254207592292,1.45531094029,1.61217300278,0.776479725384,0.920269841299,0.861523880524,2.98193404035,3.1355116209,3.13172749008,3.09091674083,3.01710775312,3.09405945793,4.49894222206,4.20609280948,-0.138887839085,1.62241726986,1.50729474651,1.58136011861,1.58784486827,1.82754577154,1.84183702837,1.68801827071,1.72999098369,1.80533412359,2.03524077925,2.19055131979,2.27423945576,2.07542681992,2.19497423591,2.15386246534,1.92016295312,1.9592087451,1.9594227112,2.03756759764,-0.343067455217,-0.202269450291,0.755720218983,0.46689753239,0.539215208107,0.825207010877,0.731135827648,0.644812141887,1.37910112309,1.50539230207,1.4895459297,1.45794607039,1.73350639545,1.56942990751,1.59172882754,2.75204363003,2.87569054096,3.24188545754,3.27337329958,4.6668639341,3.43622473913,2.739766237,2.82553101282,2.92196766822,3.00641894925,3.00711347161,2.92662775853,3.0136646349,3.17348217862,3.12983376365,3.05171397998,3.05271954454,3.13483780523,2.68908530304,2.81001523625,2.77372443915,0.49368262318,0.571415024296,0.457359097338,0.475335722665,0.864546270109,0.960535147896,0.934611894884,0.669393942479,0.830145297376,0.78868295216,0.103674323658,0.212328818786,0.182653950831,0.316934596137,0.237674290072,-0.0567020788071,0.00358314932545,0.687189683566,0.7627810453,-1.5431810216,-0.171259170246,-0.0454944567591,-0.117010206257,-0.00563888198299,0.00806136699341,0.0818230131975,0.135309228173,0.194208000168,0.197985517197,0.11105045368,0.0478133940745,0.124041770697,0.0567878084602,0.333656172779,0.242675985436,0.238468671957,0.387748506241,0.328493517598,0.915625401273,0.993009113697,1.30865541428,1.36221147158,1.19607031889,1.06486234798,1.19571594007,1.32591831006,1.33525297698,1.63723783122,1.67365612708,1.56506400185,1.055740994,1.13158478408,0.970812879259,0.888747664323,1.3648882758,1.1883038206,1.15996738906,1.39308926377,2.4670367303,3.09243613282,3.14955221193,2.92439261172,0.678024550631,0.0801467441636,4.35790743958,4.2659588401,4.56163858223,-0.0981591357556,-0.157619466442,3.13482335784,3.08819005963,3.25577418181,3.21122139618,2.04259227719,2.08929127136,1.92193690146,2.05332614377,1.96469076576,1.67256899333,1.72129025786,1.80011308295,2.07168672109,2.12764231661,2.17968001607,2.14879846802,2.31699081083,2.40981609113,2.4411174995,2.39683147858,2.28192802633,2.33033024725,2.2684208318,2.3107667288,2.07884514053,2.20202564293,2.15806663462,2.16453257468,2.04007451343,2.0814631549,2.53848192151,2.46407143773,0.992761618563,1.02256927533,1.10695786271,1.08508827323,0.912772132486,0.920129262528,0.751379138436,0.791053748491,0.860179988794,0.793384056672,0.894809804872,0.868042501391,0.679461600854,0.526492094007,0.643804927869,0.57159896683,0.97761668335,0.504288600561,0.555707107637,0.670784847974,0.636778007378,0.422578114856,0.790242110469,0.875112405117,0.824550007566,0.896677791288,0.521713327093,0.544452412785,0.482799435761,0.393039516676,0.663275677697,0.736361298669,0.749656449476,-0.253349895267,-0.182999010725,1.80699166677,1.95781121605,1.92011545504,1.84405596705,1.80996582975,1.85411239965,1.91895378433,1.84393040013,1.95280158847,1.87433039286,1.90685871651,1.96162886042,1.84897313179,1.80186485675,1.7304805528,1.81534657681,1.8491254502,1.58425379574,1.61642554043,1.62546217822,1.69830339669,1.73754727296,1.69716626443,1.03948929615,1.67865528878,1.60325349781,1.72123388383,1.68382946162,1.15814171286,1.36006486074,1.21118514903,1.24438431845,1.15673395907,1.282974685,1.22610153215,1.1997384592,1.2515228325,1.32973416107,2.87979923947,2.91374345668,2.62810818183,2.66398451712,2.97464657457,3.01050219214,3.00538713272,2.96728282181,2.88747038999,2.12492761062,2.20400657777,2.15479551114,2.06221659301,2.35573305069,2.36946849835,2.26292248857,2.26212955237,2.45447090108,2.46873389466,1.5063176579,1.60365797945,1.77758678916,1.91941667403,1.8352378134,2.1434834912,2.016121984,1.9866790594,1.30885073605,1.17698667871,2.26851743056,2.34953776925,2.3431614241,2.27387232999,2.82016620039,2.76089843534,2.66266429008,2.68517586554,2.789626489,2.59828841569,2.69755891125,3.02969683318,3.10688420932,3.25638812238,3.62719635714,3.71069411488,3.88029845112,4.2061250649,4.54515946384,4.62406199024,4.66084774904,4.61888163078,4.63349761279,4.57275954718,3.52093847864,3.6865224116,3.49713990379,3.6297153872,3.5492909098,3.30140342294,3.38472825881,3.41687065279,3.25435406792,3.28841249591,3.36798845444,3.17800349951,3.26414757162,3.32817674229,3.46222723514,3.51022959709,3.0525663795,2.9153144949,2.88121420626,2.98038869581,3.04231530035,3.13241343456,3.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};


const int NST1796 = 1796;
const double AREA1796[NST1796] = {
    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   
};

const double PHI1796[NST1796] = {
    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   
};
const double THETA1796[NST1796] = {
    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