const double Sphere::Gauss1_10[][2]={
{.300290321614864970430643576344e-1,.149914060240639402824813600413e-2},
{.982890122098532296512010215902e-1,.841931978298318741751636551904e-2},
{.199021078963101154862053698383,.227745914532630325864876494256e-1},
{.324055538323334892642849491065,.434019064071506259224561175862e-1},
{.463261234284339367126904822288,.660530755633503791660745025044e-1},
{.605360153114213157038047894922,.845571096908273324306455821655e-1},
{.738840323991543759733948341945,.926968936777234158447569919331e-1},
{.852888550356929759572400564420,.862113002891760364283333607149e-1},
{.938267928122851874477370632806,.642871545090825728748265386291e-1},
{.988082386567584403090254413041,.300995080240370233006547555315e-1} } ;
const double Sphere::Gauss1_20[][2]={
{.830004420706726923345634030530e-2,.115381907175685290148362759281e-3},
{.276430533525630888152981283354e-1,.683062276085921984517719838458e-3},
{.575344576368136613091081225723e-1,.201145761396407800690713951122e-2},
{.973041282065463077236530583003e-1,.432321911269015313373905189517e-2},
{.146063246964109542910995608382,.772766793005146287357806718699e-2},
{.202722491663405312297811148625,.122040461266801042787987031943e-1},
{.266016141764340550267972806704,.175970668792060162676861286643e-1},
{.334530301094486352046270411866,.236252961735488928130663604413e-1},
{.406734466516493512032606913456,.299017418426290130490824891895e-1},
{.481015711296426270381588239170,.359649191538627478540631878595e-1},
{.555714713036988837871176082164,.413177068166657378258329451721e-1},
{.629162819415603103554677920462,.454705889413534751252608752684e-1},
{.699719323164049835633741581283,.479854616099439125152561582203e-1},
{.765808113686407809105544287168,.485161050598540908101818742130e-1},
{.825952887364457834775842065800,.468416918625578278474928815739e-1},
{.878810132676323934382313847705,.428902958379782042141460193019e-1},
{.923199162910378029518129476980,.367502398366478558801700083407e-1},
{.958128568882234804755765365856,.286682373791305963035194931193e-1},
{.982818781854744286261752295368,.190349694637016669523177411669e-1},
{.996723893330949901024735323887,.837084417627255697423477971552e-2} } ;
const double Sphere::Gauss1_30[][2]={
{.381459074671038539717782466436e-2,.244076932425349918019407591567e-4},
{.127494120332670842951326584602e-1,.146041240940955676668248614340e-3},
{.266841386064551205546179894508e-1,.437372622472602726421770691800e-3},
{.454746842567498031087875940902e-1,.962160732818404265198520154417e-3},
{.689280378288635787451714988034e-1,.177202855592312128922463397960e-2},
{.968034802764384820125513054133e-1,.290359852334377562112598895666e-2},
{.128814950938050549474225162621,.437627704638059694896043633392e-2},
{.164633959542902421791196029374,.619078548252556441304836232996e-2},
{.203892949967254900003653359187,.832850452135012503326613138845e-2},
{.246189069324506801470732361906,.107516652422061438491687682801e-1},
{.291088300730684265597870349499,.134043848804231206385740140356e-1},
{.338129916422792608250864558015,.162145101352702502170263474888e-1},
{.386831205209885334325918100611,.190961971158536292578759240090e-1},
{.436692425617543701849873646727,.219531261396698928404045130153e-1},
{.487201933843808318225311254840,.246822228447412459113567710121e-1},
{.537841433881075311345972209277,.271777355533542063615617965432e-1},
{.588091295918675777376290957171,.293355034228107246943976576932e-1},
{.637435888447408075639676226460,.310572412754049696764965100899e-1},
{.685368869351563190652286684729,.322546654787757284000776724210e-1},
{.731398381699867618925698176755,.328532909204470713622171838843e-1},
{.775052100932573876976034096193,.327957417648220037103704923596e-1},
{.815882081682561770484063795952,.320444377923936348349359371970e-1},
{.853469354560295092920274633049,.305835429378714729285421637872e-1},
{.887428225889063388946305420481,.284200921972965437511148015149e-1},
{.917410236681052849623882797647,.255842462989688698076833888149e-1},
{.943107741464744833201789958894,.221286596387430914362812141661e-1},
{.964257074625093856385576444941,.181269873189436189526357504801e-1},
{.980641291510974162151445969497,.136716188451161981159757777023e-1},
{.992092584680037909446125089451,.887100001455133112120959199351e-2},
{.998496022673361225903461058955,.385195376333857116639116491926e-2} } ;
const double Sphere::Gauss1_40[][2]={
{.218192851317523852157095755368e-2,.799004172125543399559255787980e-5},
{.730197499281562560069251478223e-2,.479925256123302057923977262097e-4},
{.153137250033176182505341226139e-1,.144608282442985723393059216005e-3},
{.261695365471336387670746197309e-1,.320784439946783331489997760690e-3},
{.398055925731126563900060712145e-1,.597116890627562136044516003947e-3},
{.561418395591229014811101445812e-1,.991222116680441633766250718417e-3},
{.750823980915333365926099439110e-1,.151718284578753176750253145295e-2},
{.965161122208550431146950061966e-1,.218508110409051954980557696175e-2},
{.120317197791286520749116519215,.300063038871240311632817411635e-2},
{.146345979154986171223423157492,.396491634895537567281180960988e-2},
{.174449708249396715622640608495,.507425278934181656544446639249e-2},
{.204463460710609133073773086160,.632015706510699068331817196038e-2},
{.236211103579259879191579773492,.768944609819614718720381330958e-2},
{.269506328846613479271474140400,.916445136653372594644083051628e-2},
{.304153746743608180635337889004,.107233483790820088058510959846e-1},
{.339950032342045101308715884067,.123405934108904515146812770469e-1},
{.376685118731764170706371042465,.139874577004682814746386435349e-1},
{.414143429767873373921221284538,.156326469670159824989121893757e-1},
{.452105145151657708043454377253,.172429920426415915743095594061e-1},
{.490347490419979633184211769794,.187841946833746902700569744348e-1},
{.528646044272326942693879668210,.202216112635344202871274514396e-1},
{.566776055563226479120450407272,.215210561030562214571138691568e-1},
{.604513762231224023418113194203,.226496056495147898422598587515e-1},
{.641637704424424832028956189000,.235763846485734591142970356951e-1},
{.677930024116805531740527604067,.242733157909147073576501721346e-1},
{.713177743588990580227950608161,.247158151124753737021002462675e-1},
{.747174015271533419519198340034,.248834166299690648273798640680e-1},
{.779719335617338768614126861820,.247603112874486286670996234184e-1},
{.810622715881946328732888856458,.243357872352413009258639576912e-1},
{.839702802945207088243008658276,.236045607151412186799079382066e-1},
{.866788943605022155836371067206,.225669893337858856996584359146e-1},
{.891722186114186654874325684171,.212291622137220989205865863519e-1},
{.914356213119898408321288244497,.196028643626864744889000500099e-1},
{.934558200619576712390429330034,.177054155515527180411690598318e-1},
{.952209598126347559574948443512,.155593870488986980408978002362e-1},
{.967206826168714561925196391508,.131922029725218180531878222093e-1},
{.979461889529641313423818956786,.106356383088612348256364793083e-1},
{.988902913888115583949767260708,.792524338714293471288588659927e-2},
{.995474676068692150319977720529,.509986461959520461788924816655e-2},
{.999140080103548359642077180836,.220430227813487265663251225445e-2} } ;
const double Sphere::Gauss1_50[][2]={
{.141052148042058762854346219568e-2,.333994508480184544287418698832e-5},
{.472326901063563182386107193707e-2,.200980614613893014018162655056e-4},
{.991509962488157990128711405716e-2,.607321339240546176370242073282e-4},
{.169659148419276259169625536286e-1,.135251336033681069443057745648e-3},
{.258488970252148918100327338467e-1,.253019303809625208747082291674e-3},
{.365303295507034794719006094566e-1,.422572251757232924542664761165e-3},
{.489696864868435652724103362212e-1,.651450403651216280783810101824e-3},
{.631197777422816699305306199034e-1,.946045334824161323714573598745e-3},
{.789269255103650059953041856649e-1,.131146567492536309476809662329e-2},
{.963311669620901461375469480856e-1,.175142334710881818332237971886e-2},
{.115266481323010205481871925653,.226814220552986000494161427809e-2},
{.135661040137250238524129679953,.286229058912747380262046345416e-2},
{.157437479650258156199171367851,.353293894204157765816087665155e-2},
{.180513194229751369966410606884,.427754326541271870042678454924e-2},
{.204800649691248671984879722902,.509195476763851347244936405718e-2},
{.230207715330013419601541812429,.597045567647807147252782279278e-2},
{.256638013395109712456678647140,.690582077284976966069708471582e-2},
{.283991284677388160429810629633,.788940380890387607705678403236e-2},
{.312163768823226497282683148653,.891124758802002508800615253454e-2},
{.341048597930582373156019217843,.996021611764500422906839384990e-2},
{.370536201933853206514231542862,.110241469029386308046447004520e-1},
{.400514724239500624801344812930,.120900211352651122208236860723e-1},
{.430870446035618352453381628988,.131441492494457771286657548397e-1},
{.461488217665783043806973267587,.141723690816564090057162274844e-1},
{.492251895430770129044577518622,.151602536596119790931993837954e-1},
{.523044782161152825205841882155,.160933255013038652686938933027e-1},
{.553750069889515935872210002538,.169572741904306295919891721181e-1},
{.584251282943064734566267294246,.177381739374681913572676284298e-1},
{.614432719775825715821314883410,.184226978259924707584380815177e-1},
{.644179891864428270359245679082,.189983254845753702052134957425e-1},
{.673379958002608179347030542235,.194535410147430375666032494845e-1},
{.701922152347045392011035587738,.197780181437839545798609620247e-1},
{.729698204590877239182610519907,.199627897555646404045628794310e-1},
{.756602750671130037627648304633,.200003991801964486634912808443e-1},
{.782533732452283980619061111718,.198850308909875789691485116230e-1},
{.807392784870110827790511598817,.196126185605997217496689436492e-1},
{.831085609067678031410696301877,.191809287631654959148966854390e-1},
{.853522330108885849148252763903,.185896189703176369488774561585e-1},
{.874617837914037199413099543900,.178402688712987429320506077367e-1},
{.894292110126819574139885578238,.169363844450475595371182333267e-1},
{.912470515693163123350080634499,.158833746200032430414015219307e-1},
{.929084098011165995441056747396,.146885007707684055663442858159e-1},
{.944069836601800855391524699002,.133607997179928009501494956554e-1},
{.957370886364797446632723157628,.119109813266871898915461497884e-1},
{.968936793662962763444204223394,.103513022819884048368374217535e-1},
{.978723688868509864030191631004,.869541835792789400173275082516e-2},
{.986694456253122834796011566541,.695821950556210513112808552921e-2},
{.992818887847649899975728563045,.515566223537361938821976474157e-2},
{.997073868064075454909573733755,.330470306583047277819731177005e-2},
{.999444205593807148674583531935,.142529102724530517410399249771e-2} } ;
const double Sphere::Gauss1_60[][2]={
{.986102099636221103032563937673e-3,.163262037151899556267054373190e-5},
{.330315960723793573635627513542e-2,.983409622565175582911641545029e-5},
{.693763573363783603402636541563e-2,.297634014891783828803305217149e-4},
{.118796101943674893612632007165e-1,.664262821097056483828091294232e-4},
{.181159278550343735797342297846e-1,.124605969328339285330956445457e-3},
{.256300368695834287192334087806e-1,.208798694918013348686855688003e-3},
{.344020058753098606592519742965e-1,.323152463500545002656677291400e-3},
{.444085708554010556699015142063e-1,.471409714792620115255626087339e-3},
{.556231950416428562023103156161e-1,.656854513627758165792724611200e-3},
{.680161386396683311293781217862e-1,.882264861650337379575264555518e-3},
{.815545374267951552054610978480e-1,.114987067019224143143428639832e-2},
{.962024897798452381555541469534e-1,.146131787302693768744597062278e-2},
{.111921151819101191777324846020,.181763909194477169045040707438e-2},
{.128668840383103375374367881491,.221923119760729833038377198829e-2},
{.146401143546879308001752279622,.266584003401537369790272856567e-2},
{.165071038383825017798444805639,.315655249786614468102138393309e-2},
{.184629015655620343315447051590,.368979608490612550479272733336e-2},
{.205023211097776376587121807338,.426334593496159956211744156594e-2},
{.226199542951712862727336540985,.487433932648670306233179120340e-2},
{.248101855378110679077191342096,.551929749108745424386096998702e-2},
{.270672067370912258724284063730,.619415453940507063921977813546e-2},
{.293850326776882166284168602812,.689429321281879777273506791971e-2},
{.317575169012174332488138553846,.761458710147620178500505004337e-2},
{.341783680054940729399701313958,.834944889896563911664143819863e-2},
{.366411663281703942699288689626,.909288419825985009231554270103e-2},
{.391393809705040098196853721746,.983855027308211419017661543449e-2},
{.416663871161109861173099420673,.105798192342228420258993496714e-1},
{.442154835987759951018144373068,.113098449021485998762913028225e-1},
{.467799106727317912635603516358,.120216326960129525654620705579e-1},
{.493528679382837115844496318824,.127081118053411260434103073299e-1},
{.519275323752431884282714680242,.133622088845819617274767176490e-1},
{.544970764363485558162723679879,.139769224926823969215862371034e-1},
{.570546861526924991601095648020,.145453974900380068799743464454e-1},
{.595935792031437872558901187849,.150609986037169513789319428261e-1},
{.621070228998465327361294635085,.155173823787645031389323447038e-1},
{.645883520421029150563996226495,.159085667486030463081148589564e-1},
{.670309865912944958692506544609,.162289974808919148739497431890e-1},
{.694284491199720581614752443409,.164736107864602879170047203050e-1},
{.717743819888430833366368368644,.166378914177484454653440302665e-1},
{.740625642061080087017815002491,.167179256291816541677376940723e-1},
{.762869279244394514745936718105,.167104484245745666834989117150e-1},
{.784415745318605476179145312685,.166128845754694174754513919105e-1},
{.805207902938571172521232030194,.164233829586310772599833123573e-1},
{.825190615052510769708400911355,.161408438300812725726966016949e-1},
{.844310891116669285735255407885,.157649387263286545917913348164e-1},
{.862518027618371208098303988810,.152961227600768001528587998400e-1},
{.879763742535143502368999499221,.147356391568770991241701214279e-1},
{.896002303373903076195312263545,.140855159601454098344888202605e-1},
{.911190648451667217517119191767,.133485549138580635967528422358e-1},
{.925288501098028146215630933530,.125283126144557710530513727887e-1},
{.938258476480176573159870363710,.116290741056136158302502738029e-1},
{.950066180774700373238105432820,.106558191721362298175286416819e-1},
{.960680302439768563599844290773,.961418167102296748682668231949e-2},
{.970072695385430148316104431380,.851040234124943471522262376483e-2},
{.978218453926750350109128733794,.735127565832407457768167684358e-2},
{.985095979637468726867849181772,.614409165033951225549338109779e-2},
{.990687041052781647091139520347,.489657481013407413634311381489e-2},
{.994976831141845776272854157355,.361682914665786955857252311917e-2},
{.997954055501542468526731313193,.231336076402439487396861922829e-2},
{.999611482398273114789624350525,.996545165009661219206206924144e-3} } ;
const double Sphere::Gauss1_70[][2]={
{.727951175460537289297799773649e-3,.889781481557286594781669375733e-6},
{.243892199255451400890291717942e-2,.536286271066991990885442579415e-5},
{.512410681206018601871203194725e-2,.162465161961244678588034014537e-4},
{.877804094332720584608493009379e-2,.363065617469181431560631847836e-4},
{.133935348263498405436802330381e-1,.682188115933313749970584304277e-4},
{.189615429070622144678128199639e-1,.114542603081128403938717202780e-3},
{.254711616456469713656416512062e-1,.177695181941143901709145925135e-3},
{.329096464407072268711918259013e-1,.259927429536174242984082798651e-3},
{.412624352578976296102304397690e-1,.363300797373988454381781800283e-3},
{.505131766599261254088851767538e-1,.489665951464316542860124137826e-3},
{.606437616186819220757544493509e-1,.640643006556586867746623281068e-3},
{.716343588744993314801627224624e-1,.817603775824252879577418323665e-3},
{.834634537120914862853618209330e-1,.102165606419466784848249736717e-2},
{.961078900529272576434409011918e-1,.125363007027928406571232440346e-2},
{.109542915771087021834160910183,.151406715809051039169609201192e-2},
{.123742231138948655946336754395,.180321100770471772536613252696e-2},
{.138678040305412993762171516815,.212100123853875313323697999945e-2},
{.154321105704611729985063981315,.246706957032590524414533991959e-2},
{.170640805287886150484325913039,.284073855810366269628809623130e-2},
{.187605192466601747661644319992,.324102291808211663891088126214e-2},
{.205181058648221949581867942980,.366663344285119825634594820614e-2},
{.223333998243080528845651910583,.411598348230647845316773520488e-2},
{.242028476014509674159989935671,.458719794673291901755452580534e-2},
{.261227896640425735548570728387,.507812476825158720586780707879e-2},
{.280894676350165419331312289282,.558634873722087832160035061696e-2},
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{.933917553068210404224410189477,.102651509127603433279731161945e-1},
{.944480731588235298892372755004,.956892564442150621371637961944e-2},
{.954173770005362262941969180376,.882753780120003106898035649585e-2},
{.962977693902969183672429665236,.804420883280221761361581286719e-2},
{.970875269456456402951910029927,.722243863720336960500044225805e-2},
{.977851037270735499290872063496,.636597027474554476111615654043e-2},
{.983891342874724862464224937154,.547877719474630415302896636326e-2},
{.988984364046571507224970591293,.456504954156587869352142411672e-2},
{.993120135746731547930249068592,.362915389596368846508284652256e-2},
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{.998489539609079860515124153537,.170910861247422500569620816213e-2},
{.999713210459978236968000870548,.735713260710449246154001695127e-3} } ;
const double Sphere::Gauss1_80[][2]={
{.559336721784306319179169070696e-3,.525371112850317231886153202950e-6},
{.187424536639488769579521234026e-2,.316772111134548469293950363444e-5},
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{.674900396724210218156247276340e-2,.214826879620775457885040840853e-4},
{.103013335327283138625882927422e-1,.403969181436351259679613652464e-4},
{.145901936826699438982139950086e-1,.679308542372004137440447396733e-4},
{.196091305690946755591866634712e-1,.105542004311197623854357841919e-3},
{.253505939170907335296818187389e-1,.154666013569931113475154401398e-3},
{.318059473679273049191466560055e-1,.216499422189848174449041006629e-3},
{.389654811036409338043278816669e-1,.292541044274863779736845719760e-3},
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{.553529712580233766545582169089e-1,.491046060877949747293674580843e-3},
{.645562791291257932942250194991e-1,.615425822744728683187242277394e-3},
{.744145072112864452214532990819e-1,.757600497741410486585570063744e-3},
{.849128277563799669068619711070e-1,.918177928453237110302585201829e-3},
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{.977571855692896443798731596650,.561471823109960595159327114061e-2},
{.982953074489495392921969177310,.496500207849698757764594458197e-2},
{.987607858995902448067176111205,.421297501065746982753602797004e-2},
{.991529209477873110795936973290,.346173987860153432159934994814e-2},
{.994711231527370062111612545794,.279007579984166298695550361455e-2},
{.997149150099434715173670451755,.205711432988639257616705382979e-2},
{.998839344429061346355353563940,.127545125900994602739860043409e-2},
{.999779648373916690204719297080,.559470015879884712049343011842e-3} } ;