c[1] = 0 c[2] = 1/20 c[3] = 341/3200 c[4] = 1023/6400 c[5] = 39/100 c[6] = 93/200 c[7] = 31/200 c[8] = 943/1000 c[9] = 7067558016280/7837150160667 c[10] = 909/1000 c[11] = 47/50 c[12] = 1 c[13] = 1 a[2,1] = 1/20 a[3,1] = -7161/1024000 a[3,2] = 116281/1024000 a[4,1] = 1023/25600 a[4,2] = 0 a[4,3] = 3069/25600 a[5,1] = 4202367/11628100 a[5,2] = 0 a[5,3] = -3899844/2907025 a[5,4] = 3982992/2907025 a[6,1] = 5611/114400 a[6,2] = 0 a[6,3] = 0 a[6,4] = 31744/135025 a[6,5] = 923521/5106400 a[7,1] = 21173/343200 a[7,2] = 0 a[7,3] = 0 a[7,4] = 8602624/76559175 a[7,5] = -26782109/689364000 a[7,6] = 5611/283500 a[8,1] = -1221101821869329/690812928000000 a[8,2] = 0 a[8,3] = 0 a[8,4] = -125/2 a[8,5] = -1024030607959889/168929280000000 a[8,6] = 1501408353528689/265697280000000 a[8,7] = 6070139212132283/92502016000000 a[9,1] = -1472514264486215803881384708877264246346044433307094\ 207829051978044531801133057155/124689480162003200115705962164398602480330155839\ 3487900440453636168046069686436608 a[9,2] = 0 a[9,3] = 0 a[9,4] = -5172294311085668458375175655246981230039025336933699\ 114138315270772319372469280000/124619381004809145897278630571215298365257079410\ 236252921850936749076487132995191 a[9,5] = -1207067925846925480797893644173318794948457151612046\ 9966534514296406891652614970375/27220311547616572217104781845311006994972840850\ 48389015085076961673446140398628096 a[9,6] = 78012515584389364132309055253043103656779559256849718\ 2701460674803126770111481625/18311042541273197219788987450715878685922610298086\ 1859505241443073629143100805376 a[9,7] = 66411312295991164213478213583910646992814032816057703\ 5357155340392950009492511875/15178465598586248136333023107295349175279765150089\ 078301139943253016877823170816 a[9,8] = 10332848184452015604056836767286656859124007796970668046446015775000000/ 1312703550036033648073834248740727914537972028638950165249582733679393783 a[10,1] = -29055573360337415088538618442231036441314060511/ 22674759891089577691327962602370597632000000000 a[10,2] = 0 a[10,3] = 0 a[10,4] = -20462749524591049105403365239069/ 454251913499893469596231268750 a[10,5] = -180269259803172281163724663224981097/ 38100922558256871086579832832000000 a[10,6] = 21127670214172802870128286992003940810655221489/ 4679473877997892906145822697976708633673728000 a[10,7] = 318607235173649312405151265849660869927653414425413/ 6714716715558965303132938072935465423910912000000 a[10,8] = 212083202434519082281842245535894/ 20022426044775672563822865371173879 a[10,9] = -\ 2698404929400842518721166485087129798562269848229517793703413951226714583/ 469545674913934315077000442080871141884676035902717550325616728175875000000 a[11,1] = -\ 2342659845814086836951207140065609179073838476242943917/ 1358480961351056777022231400139158760857532162795520000 a[11,2] = 0 a[11,3] = 0 a[11,4] = -996286030132538159613930889652/ 16353068885996164905464325675 a[11,5] = -26053085959256534152588089363841/ 4377552804565683061011299942400 a[11,6] = 20980822345096760292224086794978105312644533925634933539/ 3775889992007550803878727839115494641972212962174156800 a[11,7] = 890722993756379186418929622095833835264322635782294899/ 13921242001395112657501941955594013822830119803764736 a[11,8] = 161021426143124178389075121929246710833125/ 10997207722131034650667041364346422894371443 a[11,9] = 3007606697681025178342324975654524349466722661958764\ 96371874262392684852243925359864884962513/4655443337501346455585065336604505603\ 760824779615521285751892810315680492364106674524398280000 a[11,10] = -31155237437111730665923206875/ 392862141594230515010338956291 a[12,1] = -\ 2866556991825663971778295329101033887534912787724034363/ 868226711619262703011213925016143612030669233795338240 a[12,2] = 0 a[12,3] = 0 a[12,4] = -16957088714171468676387054358954754000/ 143690415119654683326368228101570221 a[12,5] = -4583493974484572912949314673356033540575/ 451957703655250747157313034270335135744 a[12,6] = 2346305388553404258656258473446184419154740172519949575/ 256726716407895402892744978301151486254183185289662464 a[12,7] = 1657121559319846802171283690913610698586256573484808662625/ 13431480411255146477259155104956093505361644432088109056 a[12,8] = 345685379554677052215495825476969226377187500/ 74771167436930077221667203179551347546362089 a[12,9] = -320589096271707254279143431215272753400810277402321\ 0240571361570757249056167015230160352087048674542196011/94756954968396581478301\ 5124451273604984657747127257615372449205973192657306017239103491074738324033259\ 120 a[12,10] = 40279545832706233433100438588458933210937500/ 8896460842799482846916972126377338947215101 a[12,11] = -6122933601070769591613093993993358877250/ 1050517001510235513198246721302027675953 a[13,1] = -618675905535482500672800859344538410358660153899637 /203544282118214047100119475340667684874292102389760 a[13,2] = 0 a[13,3] = 0 a[13,4] = -4411194916804718600478400319122931000/ 40373053902469967450761491269633019 a[13,5] = -16734711409449292534539422531728520225/ 1801243715290088669307203927210237952 a[13,6] = 135137519757054679098042184152749677761254751865630525/ 16029587794486289597771326361911895112703716593983488 a[13,7] = 38937568367409876012548551903492196137929710431584875/ 340956454090191606099548798001469306974758443147264 a[13,8] = -6748865855011993037732355335815350667265625/ 7002880395717424621213565406715087764770357 a[13,9] = -175600552030745092819542276704252509195417829600278\ 8308926563193523662404739779789732685671/34876781457846998360568809804618648090\ 4607278021030540735333862087061574934154942830062320 a[13,10] = 53381024589235611084013897674181629296875/ 8959357584795694524874969598508592944141 a[13,11] = 0 a[13,12] = 0 b[1] = 44901867737754616851973/1014046409980231013380680 b[2] = 0 b[3] = 0 b[4] = 0 b[5] = 0 b[6] = 791638675191615279648100000/2235604725089973126411512319 b[7] = 3847749490868980348119500000/15517045062138271618141237517 b[8] = -13734512432397741476562500000/875132892924995907746928783 b[9] = 1227476547031319687842881203774063505031923427600698639829444\ 3554969616342274215316330684448207141/48934514749371551765038583414351093488882\ 9280686609654482896526796523353052166757299452852166040 b[10] = -9798363684577739445312500000/308722986341456031822630699 b[11] = 282035543183190840068750/12295407629873040425991 b[12] = -306814272936976936753/1299331183183744997286 b[13] = 0 bh[1] = 10835401739407019406577/244521829356935137978320 bh[2] = 0 bh[3] = 0 bh[4] = 0 bh[5] = 0 bh[6] = 13908189778321895491375000/39221135527894265375640567 bh[7] = 73487947527027243487625000/296504045773342769773399443 bh[8] = 68293140641257649609375000/15353208647806945749946119 bh[9] = 220606479489966786110177113799745788605220182089497215594485\ 60203338437626022142776381/1111542009262325874512959185795727215759010577565736\ 079641376621381577236680929558640 bh[10] = -547971229495642458203125000/23237214025700991642563601 bh[11] = 0 bh[12] = 0 bh[13] = -28735456870978964189/79783493704265043693 Coefficients for the interpolants are approximated by 40-digit values. Exact (radical) coefficients are available from jverner@pims.math.ca c[14] = 1.0 a[14,1] = .4427989419007951074716746668098518862111e-1 a[14,2] = 0. a[14,3] = 0. a[14,4] = 0. a[14,5] = 0. a[14,6] = .3541049391724448744815552028733568354121 a[14,7] = .2479692154956437828667629415370663023884 a[14,8] = -15.69420203883808405099207034271191213468 a[14,9] = 25.08406496555856261343930031237186278518 a[14,10] = -31.73836778626027646833156112007297739997 a[14,11] = 22.93828327398878395231483560344797018313 a[14,12] = -.2361324633071542145259900641263517600737 a[14,13] = 0. c[15] = .3110177634953863863927417318829099695921 a[15,1] = .4620700646754963101730413150238116432863e-1 a[15,2] = 0. a[15,3] = 0. a[15,4] = 0. a[15,5] = 0. a[15,6] = .4503904160842480866828520384400679697151e-1 a[15,7] = .2336816697713424410788701065340221126565 a[15,8] = 37.83901368421067410780338220861855254153 a[15,9] = -15.94911328945424610266139490307397370835 a[15,10] = 23.02836835181610285142510596329590091940 a[15,11] = -44.85578507769412524816130998016948002745 a[15,12] = -.6379858768647444009509067402330140781326e-1 a[15,13] = 0. a[15,14] = -.1259503554386166268241032464519842162533e-1 c[16] = .1725 a[16,1] = .5037946855482040993065158747220696112586e-1 a[16,2] = 0. a[16,3] = 0. a[16,4] = 0. a[16,5] = 0. a[16,6] = .4109836131046079339916530614028848248545e-1 a[16,7] = .1718054153348195783296309209549424619697 a[16,8] = 4.61410531998151886974342237185977124648 a[16,9] = -1.791667883085396449712744996746836471721 a[16,10] = 2.531658930485041408462243518792913614971 a[16,11] = -5.32497786020573071925718815977276269909 a[16,12] = -.3065532595385634734924449496356513113607e-1 a[16,13] = 0. a[16,14] = -.5254479979429613570549519094377878106127e-2 a[16,15] = -.8399194644224792997538653464258058697156e-1 c[17] = .7846 a[17,1] = .4082897132997079620207118756242653796386e-1 a[17,2] = 0. a[17,3] = 0. a[17,4] = 0. a[17,5] = 0. a[17,6] = .4244479514247632218892086657732332485609 a[17,7] = .2326091531275234539465100096964845486081 a[17,8] = 2.677982520711806062780528871014035962908 a[17,9] = .7420826657338945216477607044022963622057 a[17,10] = .1460377847941461193920992339731312296021 a[17,11] = -3.579344509890565218033356743825917680543 a[17,12] = .1138844389600173704531638716149985665239 a[17,13] = 0. a[17,14] = .1267790651033190047378693537615687232109e-1 a[17,15] = -.7443436349946674429752785032561552478382e-1 a[17,16] = .4782748079757851554575511473876987663388e-1 bi7[1,1] = 1. bi7[1,2] = -7.238550783576432811855355839508646327161 bi7[1,3] = 26.00913483254676138219215542805486438340 bi7[1,4] = -50.23684777762566731759165474184543812128 bi7[1,5] = 52.12072084601022449485077581012685809554 bi7[1,6] = -27.06472451211777193118825764262673140465 bi7[1,7] = 5.454547288952965694339504452480078562780 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[2] bi7[2,1] = 0. bi7[2,2] = 0. bi7[2,3] = 0. bi7[2,4] = 0. bi7[2,5] = 0. bi7[2,6] = 0. bi7[2,7] = 0. # -------------------------------------------------------- # # COEFFICIENTS OF bi7[3] bi7[3,1] = 0. bi7[3,2] = 0. bi7[3,3] = 0. bi7[3,4] = 0. bi7[3,5] = 0. bi7[3,6] = 0. bi7[3,7] = 0. # -------------------------------------------------------- # # COEFFICIENTS OF bi7[4] bi7[4,1] = 0. bi7[4,2] = 0. bi7[4,3] = 0. bi7[4,4] = 0. bi7[4,5] = 0. bi7[4,6] = 0. bi7[4,7] = 0. # -------------------------------------------------------- # # COEFFICIENTS OF bi7[5] bi7[5,1] = 0. bi7[5,2] = 0. bi7[5,3] = 0. bi7[5,4] = 0. bi7[5,5] = 0. bi7[5,6] = 0. bi7[5,7] = 0. # -------------------------------------------------------- # # COEFFICIENTS OF bi7[6] bi7[6,1] = 0. bi7[6,2] = 11.15330887588935170976376962782446833855 bi7[6,3] = -91.7609656398961659890179437322816238711 bi7[6,4] = 291.7074241722059450113911477530513089255 bi7[6,5] = -430.4096692910862817449451677633631387823 bi7[6,6] = 299.4531188198997479843407054776900024282 bi7[6,7] = -79.78911199784015209705095616004766020335 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[7] bi7[7,1] = 0. bi7[7,2] = 2.34875229807309355640904629061136935335 bi7[7,3] = -11.6724894172018429369093778842231443146 bi7[7,4] = -3.339139076505928386509206543237093540 bi7[7,5] = 94.885262249720610030798242337479596095 bi7[7,6] = -143.071126583012024456409244370652716962 bi7[7,7] = 61.0967097444217359754873031115590556707 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[8] bi7[8,1] = 0. bi7[8,2] = -1027.321675339240679090464776362465090654 bi7[8,3] = 9198.71432360760879019681406218311101879 bi7[8,4] = -33189.78048157363822223641020734287802492 bi7[8,5] = 57750.0831348887181073584126028277545727 bi7[8,6] = -47698.93315706261990169947144294597707756 bi7[8,7] = 14951.54365344033382142012769129774268946 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[9] bi7[9,1] = 0. bi7[9,2] = 1568.546608927281956416687915664731868885 bi7[9,3] = -13995.38852541600542155322174511897930298 bi7[9,4] = 50256.2124698102445419491620666726469821 bi7[9,5] = -86974.5128036219909523950692144595063700 bi7[9,6] = 71494.7977095997701213661747332399327008 bi7[9,7] = -22324.57139433374168317029445568645401598 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[10] bi7[10,1] = 0. bi7[10,2] = -2000.882061921041961546811133479107090218 bi7[10,3] = 17864.36380347691630038038755096765127729 bi7[10,4] = -64205.1907515562863000297926577113695108 bi7[10,5] = 111224.8489930378077126420609392735999202 bi7[10,6] = -91509.3392102130338542605593697286718077 bi7[10,7] = 28594.46085938937782634638310955782423389 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[11] bi7[11,1] = 0. bi7[11,2] = 1496.620400693446268810344884971434468267 bi7[11,3] = -13397.55405171476021512904990709508924800 bi7[11,4] = 48323.5602199437493999696912750109765015 bi7[11,5] = -84051.4283423393032636942266780744607468 bi7[11,6] = 69399.8582111570893316100585838633124312 bi7[11,7] = -21748.11815446623273761450332307272543593 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[12] bi7[12,1] = 0. bi7[12,2] = -16.41320775560933621675902845723196069900 bi7[12,3] = 147.6097045407002371315249807692915435608 bi7[12,4] = -535.719963714732106447158760197417632645 bi7[12,5] = 938.286247077820650371318861625025573381 bi7[12,6] = -779.438309639349328345148153897689081893 bi7[12,7] = 245.4393970278627292916961100938952065362 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[13] bi7[13,1] = 0. bi7[13,2] = 0.u^2 bi7[13,3] = 0. bi7[13,4] = 0. bi7[13,5] = 0. bi7[13,6] = 0. bi7[13,7] = 0. # -------------------------------------------------------- # # COEFFICIENTS OF bi7[14] bi7[14,1] = 0. bi7[14,2] = -4.29672443178246482824254064733546854251 bi7[14,3] = 38.6444746111678092366406218271498656093 bi7[14,4] = -140.3503471762808981414524290552248895548 bi7[14,5] = 246.3954669697502467443139611011701827640 bi7[14,6] = -205.8341686964167118696204191085878165880 bi7[14,7] = 65.44129872356201885836080588282812631205 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[15] bi7[15,1] = 0. bi7[15,2] = -20.41628069294821485579834313809132051248 bi7[15,3] = 153.5213232524836445391962375168798263930 bi7[15,4] = -436.5502610211220460266289847121377276100 bi7[15,5] = 598.214644262650861959065070073603792110 bi7[15,6] = -398.7823950071290897160364203878571043995 bi7[15,7] = 104.0129692060648441002024406476025340187 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[16] bi7[16,1] = 0. bi7[16,2] = 16.53007184264271512356106095760699278945 bi7[16,3] = -96.6861433615782065041742809436987893361 bi7[16,4] = 268.959934219531723149495873437076657635 bi7[16,5] = -428.681909788964647271837835032326719249 bi7[16,6] = 354.578231152433375494079868740183658991 bi7[16,7] = -114.7001840640649599911246871588418008302 # -------------------------------------------------------- # # COEFFICIENTS OF bi7[17] bi7[17,1] = 0. bi7[17,2] = -18.63064171313429626683549958846959067803 bi7[17,3] = 164.1994112280183092456176460821337125030 bi7[17,4] = -579.272256249540441494196462569641132906 bi7[17,5] = 980.198255708866731505258442280896479501 bi7[17,6] = -786.224179015513894176220583239056456901 bi7[17,7] = 239.7294100413035911863764570341369884827 # # ******************************************************** # # FOUR ADDITIONAL STAGES FOR INTERPOLANT OF ORDER 7 # # Coupling coefficients for c[18] = .37 # ---------------------------------------------------- a[18,1] = .5212682393668413629928136927994514676607e-1 a[18,2] = 0. a[18,3] = 0. a[18,4] = 0. a[18,5] = 0. a[18,6] = .5392508396744797718209106862347065628649e-1 a[18,7] = .1660758097434640828541930599928251901718e-1 a[18,8] = -4.454485757926779655418936993298463071587 a[18,9] = 6.835218278632146381711296817968152631469 a[18,10] = -8.711334822181993739847172734848837971169 a[18,11] = 6.491635839232917053651267142703105653517 a[18,12] = -.7072551809844346422069985227700294651922e-1 a[18,13] = 0. a[18,14] = -.1854031491993216429111842937941202966440e-1 a[18,15] = .2350402105435384645116542087045962190647e-1 a[18,16] = .2344795103407822090556377813402774776461 a[18,17] = -.8241072501152898885823089698097768766651e-1 # # ******************************************************** # # Coupling coefficients for c[19] = .5 # ---------------------------------------------------- a[19,1] = .5020102870355713598699964419977883461362e-1 a[19,2] = 0. a[19,3] = 0. a[19,4] = 0. a[19,5] = 0. a[19,6] = .1552209034795498114932226104700567642339 a[19,7] = .1264268424089234914713091134864747506300 a[19,8] = -5.14920630353984701704917414605721854951 a[19,9] = 8.46834099903692926607453176331494311551 a[19,10] = -10.66213068108149527544209836207095498430 a[19,11] = 7.54183322495972836290996201569018333903 a[19,12] = -.743696811383214243944066492459357053774e-1 a[19,13] = 0. a[19,14] = -.2055887686618382619339821759221121764364e-1 a[19,15] = .775379526471029807261782993777862395844e-1 a[19,16] = .1046259220352544296313761971333987587377 a[19,17] = -.1179213306451979352145022687063013455111 a[19,18] = 0. # # ******************************************************** # # Coupling coefficients for c[20] = .7 # ---------------------------------------------------- a[20,1] = .3737341446457825692757506548800094134977e-1 a[20,2] = 0. a[20,3] = 0. a[20,4] = 0. a[20,5] = 0. a[20,6] = .3504930705338316406767087468339071089224 a[20,7] = .4922652819373025433298989824173484805373 a[20,8] = 8.553695439359312242284304421725315855379 a[20,9] = -10.35317299030591348532574006719207803272 a[20,10] = 13.83320427252914990351082875460544773493 a[20,11] = -12.28092433078461863729523583784519048012 a[20,12] = .1719151595656509762746810113378644307112 a[20,13] = 0. a[20,14] = .3641583114314496380113822384214528216140e-1 a[20,15] = .2961920580288763054890146412520723429115e-1 a[20,16] = -.2651793938627067002647615623738425030047 a[20,17] = .942950396173806655317007970358739475630e-1 a[20,18] = 0. a[20,19] = 0. # # ******************************************************** # . # Coupling coefficients for c[21] = .9 # ---------------------------------------------------- a[21,1] = .3939058345528250943410670634923521987132e-1 a[21,2] = 0. a[21,3] = 0. a[21,4] = 0. a[21,5] = 0. a[21,6] = .3558516141234424183136697322755323715063 a[21,7] = .4197382225952610029372225526720065366258 a[21,8] = .872044977807194166293172525204036071060 a[21,9] = .898952083487659486126627160171417043611 a[21,10] = -.630580616105988359023456649527853470403 a[21,11] = -1.121887220595483550736681645425215081433 a[21,12] = .4298219512400197176967511031829197714867e-1 a[21,13] = 0. a[21,14] = .1332557566873915707013495891889190564164e-1 a[21,15] = .1876227053964148034446101291928097773800e-1 a[21,16] = -.1859411132922105570515379368592596513699 a[21,17] = .1773614271924602745226064729836361000042 a[21,18] = 0. a[21,19] = 0. a[21,20] = 0. bi8[1,1] = 1. bi8[1,2] = -10.03915465055451898280745009553727015838 bi8[1,3] = 53.79210495862331394937504547285261606206 bi8[1,4] = -165.0579057235472167092186792753028629327 bi8[1,5] = 298.0264565434610102489744601822776142620 bi8[1,6] = -311.9125448707900689751032283191627986699 bi8[1,7] = 174.6059852691171542761046061351126284335 bi8[1,8] = -40.37066163211959429657758663355894180800 bi8[2,1] = 0. bi8[2,2] = 0. bi8[2,3] = 0. bi8[2,4] = 0. bi8[2,5] = 0. bi8[2,6] = 0. bi8[2,7] = 0. bi8[2,8] = 0. bi8[3,1] = 0. bi8[3,2] = 0. bi8[3,3] = 0. bi8[3,4] = 0. bi8[3,5] = 0. bi8[3,6] = 0. bi8[3,7] = 0. bi8[3,8] = 0. bi8[4,1] = 0. bi8[4,2] = 0. bi8[4,3] = 0. bi8[4,4] = 0. bi8[4,5] = 0. bi8[4,6] = 0. bi8[4,7] = 0. bi8[4,8] = 0. bi8[5,1] = 0. bi8[5,2] = 0. bi8[5,3] = 0. bi8[5,4] = 0. bi8[5,5] = 0. bi8[5,6] = 0. bi8[5,7] = 0. bi8[5,8] = 0. bi8[6,1] = 0. bi8[6,2] = 158.1976739121776138067531004299642556045 bi8[6,3] = -1543.961417219490013383329186557376850919 bi8[6,4] = 6241.398747828780065219699818963300847515 bi8[6,5] = -13136.51615640610824674042591770724411138 bi8[6,6] = 15106.94849316959941770760848348143558467 bi8[6,7] = -8996.489626298230413000758717864256649583 bi8[6,8] = 2170.776389952444021264933974457050280938 bi8[7,1] = 0. bi8[7,2] = 110.7811520079778201620910891542159716196 bi8[7,3] = -1081.190514535617748557462051373884811281 bi8[7,4] = 4370.666940459977376891679103587685016930 bi8[7,5] = -9199.113723922197066947453657458673365167 bi8[7,6] = 10578.94920962985483690180716390515207397 bi8[7,7] = -6299.975594978841008450271944308599363057 bi8[7,8] = 1520.130500554341433782477059435641543286 bi8[8,1] = 0. bi8[8,2] = -7011.442038211314089634068023254940106045 bi8[8,3] = 68429.55220744077890209519664603903716349 bi8[8,4] = -276623.5714822198169288202316196287008724 bi8[8,5] = 582220.4545548494658856503006312634684934 bi8[8,6] = -669551.5244611245601905652331468068626208 bi8[8,7] = 398731.3087623332757943809792249308827732 bi8[8,8] = -96210.47174510666745715793578288559674281 bi8[9,1] = 0. bi8[9,2] = 11206.39756984814734031374482605836502113 bi8[9,3] = -109371.0485495066182770525095928736321803 bi8[9,4] = 442127.8393698154661543505844693555049508 bi8[9,5] = -930563.7629864562145364082427559715712707 bi8[9,6] = 1070145.133585590072636708771436125254933 bi8[9,7] = -637292.8058429046904373075590712408701797 bi8[9,8] = 153773.3309185793956820086499888593205888 bi8[10,1] = 0. bi8[10,2] = -14179.23164045568390825368995504736244876 bi8[10,3] = 138385.0093196357218693716546019209270760 bi8[10,4] = -559415.5490240869974273158302752589638112 bi8[10,5] = 1177423.794699250413603625249340565972051 bi8[10,6] = -1354033.322790821429356166591306087001182 bi8[10,7] = 806353.8938825050195016379699232308969498 bi8[10,8] = -194566.3328138133045593670938904445416121 bi8[11,1] = 0. bi8[11,2] = 10247.76176792174468727263230424253072668 bi8[11,3] = -100015.0532637523107509874155382267979521 bi8[11,4] = 404306.6240143429367125014776377339233105 bi8[11,5] = -850959.9711689702682710993795157496434280 bi8[11,6] = 978601.0462088684697300958464199995189771 bi8[11,7] = -582776.4729907748855939796622931794117500 bi8[11,8] = 140619.0037156383022701488158207833280861 bi8[12,1] = 0. bi8[12,2] = -105.4930397685096787379931952745881034169 bi8[12,3] = 1029.580139580310194120073236423148130618 bi8[12,4] = -4162.034181876452751021493197688100770349 bi8[12,5] = 8759.996193602336131526447045580160767641 bi8[12,6] = -10073.96555688604885441046004449728532151 bi8[12,7] = 5999.247741473950186438936812025268574829 bi8[12,8] = -1447.567428588892382130036646632729629570 bi8[13,1] = 0. bi8[13,2] = 0. bi8[13,3] = 0. bi8[13,4] = 0. bi8[13,5] = 0. bi8[13,6] = 0. bi8[13,7] = 0. bi8[13,8] = 0. bi8[14,1] = 0. bi8[14,2] = -14.86361337326743122469601010648237947608 bi8[14,3] = 145.7635936489486611601020590400812969906 bi8[14,4] = -587.6557063401913588520708808169444817103 bi8[14,5] = 1227.372151254555709980234511427063838550 bi8[14,6] = -1394.493105740553645217117387304216418608 bi8[14,7] = 816.8562950730668774494805290335070403105 bi8[14,8] = -192.9796145225588132959328212730088960570 bi8[15,1] = 0. bi8[15,2] = 14.34968575290546223276673100484047073648 bi8[15,3] = -150.2949344481665658851785896351738227010 bi8[15,4] = 629.4812425700290706612346725243246098946 bi8[15,5] = -1352.518207309060677914698908083510085133 bi8[15,6] = 1575.896933708880305858556996706058962503 bi8[15,7] = -946.7876580472948045886633971120598201035 bi8[15,8] = 229.8729377727072096359824945955196848017 bi8[16,1] = 0. bi8[16,2] = -102.5452470111040085560664290210906322518 bi8[16,3] = 1074.032661264680594125263250545103109541 bi8[16,4] = -4498.377917100410634753487685261882069653 bi8[16,5] = 9665.320624003280508099125255751992581938 bi8[16,6] = -11261.62224831288113545795903649800929060 bi8[16,7] = 6765.902468760784366342575368188597359812 bi8[16,8] = -1642.710341604349689799450723704711058784 bi8[17,1] = 0. bi8[17,2] = -38.13206313286473398334122725888547021750 bi8[17,3] = 399.3854658292328681862496726489289700594 bi8[17,4] = -1672.748720491971752312231602599596419744 bi8[17,5] = 3594.107254858566583822606674735752304040 bi8[17,6] = -4187.701556802926199931725021751236897492 bi8[17,7] = 2515.941280649063720613355430002270532846 bi8[17,8] = -610.8516609091004863949139257772330194915 bi8[18,1] = 0. bi8[18,2] = -66.38279583069588062871084016403504860018 bi8[18,3] = 595.8297683881103280237377269355990794854 bi8[18,4] = -2188.737060092971609278770563269347103559 bi8[18,5] = 4213.839795282852421559730676511794767863 bi8[18,6] = -4484.035731929196864370162258757955490985 bi8[18,7] = 2500.648251425346544829791147364129986790 bi8[18,8] = -571.1622272434449401356158886201861909946 bi8[19,1] = 0. bi8[19,2] = -90.41887573173058787343992868450872085904 bi8[19,3] = 931.9503884048153706496188381219698380844 bi8[19,4] = -3962.898377713156165984683269799703910403 bi8[19,5] = 8733.317420025551238329244389917866097896 bi8[19,6] = -10445.90818988766053535212385670877957360 bi8[19,7] = 6426.218942917598693647793004359979629852 bi8[19,8] = -1592.261308015418013416409177206823360972 bi8[20,1] = 0. bi8[20,2] = -59.73884363038871206457816967313835076801 bi8[20,3] = 544.8870146891724527559861176467523778088 bi8[20,4] = -2090.430374926312850791322527518588562537 bi8[20,5] = 4194.418982707226648046953315742901721971 bi8[20,6] = -4603.369436819628073439413527693451638704 bi8[20,7] = 2619.201413559297614510795648037620577207 bi8[20,8] = -604.9687555793670790184208565420961249773 bi8[21,1] = 0. bi8[21,2] = -59.20053764683937384859682230934791521325 bi8[21,3] = 571.7660156218088014286377638724659591261 bi8[21,4] = -2308.949564445360683785335401047607870804 bi8[21,5] = 4881.234110686139058221334453291392021952 bi8[21,6] = -5660.118807771202003386701685793459298252 bi8[21,7] = 3408.706689037421803199133730396931709513 bi8[21,8] = -833.4379054819676018284720384103746063216