A nonlift newform <i>f</i> in S

A nonlift newform in S₁₁(K(16))⁻

(Filename: eigs/eig-minus-11-16-8.html)

FORMULA FOR THE EIGENFORM f
with 3¹¹⁻³λ₃ = α,
where throughout this wepage, α is taken to have minimal polynomial 332724999250575360 - 1154234880*x^2 + x^4

Note that T(3) is the Hecke operator under the scalar-invariant slash and λ₃ is the corresponding eigenvalue.

The eigenform f has the formula
f = Σ_i=1¹⁰ b_i Grit(φ_i) + Σ_i=0²⁸ c_1,i T(3)ⁱ g₁ + Σ_i=0²⁸ c_2,i T(3)ⁱ g₂ + Σ_i=0²⁸ c_3,i T(3)ⁱ g₃
where g₁, g₂, g₃ are the Borcherds products that helped span the space S₁₁(K(16))⁻ and where φ_i are jacobi forms in J_11,16^cusp given by the following table.

φ₁	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4)\|W₂
φ₂	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,5)\|W₂
φ₃	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3)\|W₂
φ₄	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2)\|W₂
φ₅	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,6)\|W₃
φ₆	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,5,6)\|W₃
φ₇	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4)\|W₃
φ₈	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,7)\|W₃
φ₉	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4)\|W₃
φ₁₀	TB(11;1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3)\|W₃

Here is a table of the coefficients b_i and c_j,i.

b₁	119384224370344374766106745232165588021211147376362698564864527151363158179959669418982403112680749809261042358005467382452864540717127347763070911024802330761889894133627964024545373/8624513135423459628941863789342555957442462299969857554197911622266283128703974485849292632617728305888451143100337801540878031478394367522316845898060792730466755790503936 + (205714646715498872006676303302853241882017499288556438513037733718202892958826701246158498050954466830953263201043772051513911693860492347346727853384099394429682254664334527536010521141α)/278529686650076879531832964100472565752319213073002546095728059590484285595470300497441207485505449766064236280562581341298840931958523506457325216299381068525551534265019473592320 - (12062982506460116186491939686204895162890420903962017314082591482069617838205538227382953654490472299930630433908107741201079784943169046857926603406887917146816628018240381348499α^2)/298063173960234764776230812559678733889211497086958277073079825665522744928009358230951553383268690251504871505547674421252744767893309341571270194236980996764931080119816028160 - (413914285208292411653068320295222993553967774385115192005094915883415749733745540738036651835397710895510225983256294250771048857199771001221742367782850111021238949948968395939111*α^3)/213910799347259043480447716429162930497781155640065955401519149765491931337321190782034847348868185420337333463472062470117509835744146052959225766117924660627623578315534955718901760
b₂	-20897900390754128945086988022643652963276501904669405070742089113905886049301504868637273228025999951451996608348173258249363482670425270906019346905090458619368008758797099983550629/6367316338261851054179735375725558890455567869899621397435176939876279341113481163380923076424807225831708070492046267543851359177408341647335483885677694633039909548457984 - (36001153115864606732488397433169662964425312232495528901047606820107764078957736637565783109518441733813843927035140069988073220805758241352991612311541826553375974637434129666593675293α)/205633245222127071216861055527302011434329419026552660984736731494537226474780807789126516463908320335102111941509093255880784906797503682501697132346027429497379843656596408238080 + (2111384212926797237840765259932967386085221131397841593705850387806730762681972576754737978150436616773163381292292663883153495155753435506501161380009659175997733660639324190027α^2)/220054452650329572432451654585075315254144425583730915495359715042124214028881909006444701521241337724743830916205119006315502973171232287331914323089021126517859273994707927040 + (72437548936780022510921219623946906363461407006478022559255711306916867826573573575064736377151346646801960024321172673235159812282216443321790313873532343671059609069598822988703*α^3)/157926332330593590694549290644967944781564993812392443636277809787804589932631660382049164644281590017358421971078983620516442808420482828161303397641749065853987719928266041526845440
b₃	4899850142477403139387044563344268253726902068953289468302463743222095146498447759810620185812805134869334840542187875269622513968668589535407614579237638208765418062203405466612481779/407508245648758467467503064046435768989156343673575769435851324152081877831262794456379076891187662453229316511490961122806486987354133865429470968683372456514554211101310976 + (8456426805479707634755339206609375958460444904243701471488320968211451385123440121041963868122348948857979512185926358716438702165522525624837564505392439695561274514227474092328795570843α)/13160527694216132557879107553747328731797082817699370303023150815650382494385971698504097053690132501446535164256581968376370234035040235680108616470145755487832309994022170127237120 - (495406959985750048662151656667241544651961943304426601708404020187524322831457688733207871162698308912581079354498410105885262926885965612615384398916106695560589740259440156859677α^2)/14083484969621092635676905893444820176265243237358778591703021762695949697848442176412460897359445614383605178637127616404192190282958866389242516677697352097142993535661307330560 - (17014068454118506178847279379874403117144072139087936781582401586691407247610916370715148085952401110917653825936923376509672699900772395629362382915336726658753857931010147863018953*α^3)/10107285269157989804451154601277948466020159603993116392721779826419493755688426264451146537234021761110939006149054951713052339738910901002323417449071940214655214075409026657718108160
b₄	3058856272829162269841265302020090760955543777264360191576315020824164730241506507520880625822584963256290443054372324232004645657288885568188338811691118574283819921208388179010171101/4890098947785101609610036768557229227869876124082909233230215889824982533975153533476548922694251949438751798137891533473677843848249606385153651624200469478174650533215731712 + (5266213760908305324326081444190443507178289544779421585898599572095598963135956981853874313598649726054518828668897765561917194209929940665103511018204410870600970383740953496649650958517α)/157926332330593590694549290644967944781564993812392443636277809787804589932631660382049164644281590017358421971078983620516442808420482828161303397641749065853987719928266041526845440 - (308968001324366066871203332146545368231216616459652726698195206562526226029349957939696090941608406020971368205065512484953239305224830910971777510340026560147575847195671402002963α^2)/169001819635453111628122870721337842115182918848305343100436261152351396374181306116949530768313347372603262143645531396850306283395506396670910200132368225165715922427935687966720 - (10596294002105060108886226627791230395108311676091535910804616523673084574420382401167629005518216972440622547394496285863133960727216570356301763717896773316016270171939225129815207*α^3)/121287423229895877653413855215335381592241915247917396712661357917033925068261115173413758446808261133331268073788659420556628076866930812027881009388863282575862568904908319892617297920
b₅	332962797084198295008744465584579493011832551260926909560886921465827686376395576666036385253586261554449906608921545288645951375842084744943553093986187772074240030343463394767477947/21051127485682038179124839405460011025587795814770176864989768658366474556334366295259378334302423889484422600402275415144977962994696966262619354887342582256172762180616192 + (4016526514280743214662545546875994282781953425710994888366287296155886118326111482833801774643505202957588561617373248206863739544929996895399116254659693645916613304365657745227698010293α)/4758940817997797933875927285060417978908766554614504439932478643159290098416355837405499381021878270612363162074924729636098164985885085223610705062865206225510790667481231162081280 - (33644770090271726083278583837237980068586688469608915155366777414686835751662222483021101287336392223011751597707175032964463895472794380383382233439257219932057172130453689685461α^2)/727526965905171239470554449852697981044314223358457312454046404833145360666915699164164115233491769620581645069902638347410438401096727154036124904906559642773330660962095595520 - (8081528045787508333137598760571607916463489721673285096217231082337673398647533017798031323921110195789421900051735703423834999172982329879427906554084530366010151807128794125588903*α^3)/3654866548222308813216712154926401007801932713943939409868143597946334795583761283127423524624802511830294908473542192360523390709159745451733021488280478381192287232625585532478423040
b₆	633131277886310739896943120894739033748879116920512488213496052232320313895337701367644597469268491106283009252055969097330702177179249597706911353515883150452158528947729313015665/226505324285994701532085448148340039581423362960856097141962816043029699881507235060981453311554407243025188278373187382982854674295158398521815632296834986946083738877952 + (385882968345222428983734333808909922048664327464857647252468775135654524560767745587712114121186148479427026890117140171359317909934663785049143410861978660696817419868254811109673711α)/2588390499299501595736712587056948395676873805928634893514168648182986067514723454688305801643601234987299311151862712311786103721926619779741642225334611000666319710362751991808 - (12792694483957996729440159541804979862245972190279580388415122668132700717824585592203017351249481946280537679567477680927211250529530012725468304344368990709458976296488199539α^2)/1565604801464795376989774617601326353586798284785437343445246984489421285580978008741503805289464062863790101380115471191177491508728134850582789650435723429771330803124404224 - (776435162924988418834657582479181984204187443378674500795190912144539847074349430885735236153926765575686741225202753280984891066946746925349808578545913389629917689435923426021*α^3)/1987883903462017225525795266859736367879839082953191598218881521804533299851307613200618855662285748470245870964630563055451727658439643990841581229056981248511733537558593529708544
b₇	15943263584361712848057546581984216863202007219829887539264239369682901558092945015548491953205949334238260651069149683201508175849081551278747682893160931339326430193600253811829978311/1031505246798419870777117130867540540253801994923738666384498664259957253260383948467709538380818770584736707419711495342103920186740151346868348389479786530552465346850193408 + (27474830783107602888327193339281686522043810934246437813841708692360171249724881020864536850317073225731747674298843797636294660034836279621466879834081627769263607815134369642954031924687α)/33312585725984585537131490995422925852361365882301531079527350502115030688914490861838495667153147894286542134524473107452687154901195596565274935440056443578575534672368618134568960 - (1611014368957483499090542685530956908738764596118748929035705118419705322350922610237199337902551003926084358873391017939261427108332628206460042090888340069412064048087337577392393α^2)/35648821329353390734057168042782201071171396944564408310248273836824122672678869259044041646441096711408500608425229279023111481653739630547770120340421422495893202387142684180480 - (55281245270405411634677884604857850897051779801170733930190767407521133768084444215222878992271756582567450838407945153212877875826102963190965758398407916907263350757549783372883077*α^3)/25584065837556161692516985084484807054613528997607575869077005185624343569086328981891964672373617582812064359314795346523663734964118218162131150417963348668346010628379098727348961280
b₈	1058266116357150494875672161754804389197226873406597803705637117357963275400456123460463504947226147054989756027154861425313059790352944459333096215737886461509704289068215039664752465/93773204254401806434283375533412776386709272265794424216772605841814295750943995315246321670983524598612427947246499576554901835158195576988031671770889684595678667895472128 + (364813997632091413844309668778423721128790125150438594622463887542421544542809254951557018436729426341769091297859209820166114724380189562127599446524599320454657375837684988377284656181α)/605683376836083373402390745371325924588388470587300565082315463674818739798445288397063557584602688987028038809535874680957948270930829028459544280728298974155918812224883966083072 - (21388612957380074394213291889734015916863880492812358997336782733898394220481111307336487373704950953508066713788755920159728639790323241922882318678195822754219368786065282858259α^2)/648160387806425286073766691686949110384934489901171060186332251578620412230524895618982575389838122025609101971367805073147481484613447828141274915280389499925330952493503348736 - (734026134889556858184794753920487685557371752018648208168342934951295874628446181041098428342407220632056868815458725858367914802386253811948472175956512786376636701879107591827751*α^3)/465164833410112030773036092445178310083882345411046833983218276102260792165205981488944812224974865142037533805723551754975704272074876693856930007599333612151745647788710885951799296
b₉	2063339833361759924567864500356609939524806993456937021419737534422274661437860963900301987643174762102762359357580478712753157983705362950724270090573998053931288923289523662191829597/281319612763205419302850126600238329160127816797383272650317817525442887252831985945738965012950573795837283841739498729664705505474586730964095015312669053787036003686416384 + (3555429473997654863840467337764082298405271236436079138278192657482916387479598928912621624061552743078058753743291912332088266787516073237824931383828389637717457032025172942979349204149α)/9085250652541250601035861180569888868825827058809508476234731955122281096976679325955953363769040334805420582143038120214369224063962435426893164210924484612338782183373259491246080 - (208486429215444885565964404524611850580773147753430927415170479222506909554177871579057326267915966186025933028465211015066367568635579811213108381650531945603021894981328198501011α^2)/9722405817096379291106500375304236655774017348517565902794983773679306183457873434284738630847571830384136529570517076097212222269201717422119123729205842498879964287402550231040 - (7153779085755925076461297768068508491712228405276098722391828119261692077891311394267436042909058590172267709560202693741267325141763138389564927516994381571823132084321777117056679*α^3)/6977472501151680461595541386677674651258235181165702509748274141533911882478089722334172183374622977130563007085853276324635564081123150407853950113990004182276184716830663289276989440
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c_1,13	-175155139967904334575010773260810893131820444093729725177651778100875137566352502246952160786535135481195335476370734635813356649314973194440697634326113/151148719476180928342500550721015935306431804641730177390314435918142711246459302527677393655818911060518496922165205996774038433789233902256906120835629056 - (1586310492633002861165890707980466751834605764046181173116987574203802586475389198147614250727536795219931739822331347689367225264910648987034367001720512879α)/37423806255526935039415498956276603836856464587529453662718101850433589282361437751898609745414646637427252922460662570760785078129404454124488747341928744899051520 + (612943799666903155510902421904269399374550477737718528683295330402295841165370184103405060039299524179604038021219869004516495928579189603520995221α^2)/193470360929511588278400704922900397192232709941414627059602477975222670395467907235427063879448206157463676060371463675870769195250219394888839834669605191680 + (1159586267786520870832849403352558358576118698584068928548403980707884587857236116530423470155381326350189606761467361514792292939657365436201919425503*α^3)/9580494401414895370090367732806810582235254934407540137655834073710998856284528064486044094826149539181376748149929618114760980001127540255869119319533758694157189120
c_1,14	-4009028230706509230826531521957927081066456578675026629593688760795431721335612975616299624139010515613027570614779649951235859642530962040227588051442121/174814290411308685122983494091049287462981698625635359450283667599040484321619216180582311291072843420851107297407072535697516451422519667524558850612178976768 - (63313119229310283989349650271392169580629527789190799792214598292019566046469634319327745466487199517445588974973361372326459771586497444711755259023235129943α)/13173179801945481133874255632609364550573475534810367689276771851352623427391226088668310630385955616374393028706153224907796347501550367851820039064358918204466135040 + (30979299514398275732729024431168757912086162596296141476949711027827032974485884679740033317372093199705919576353772272467682164102575918782857245341α^2)/223762291726475116957418872436543087952616574240813260096363094526771819931672596711145358452573239578689417340681052845692821057820825174431435328783589090263040 + (40496961654413346611289434976948258656885721481934313425158151289189470711087718727865535996731102733738833692800270554884115482754023090136290635855303*α^3)/3372334029298043170271809441947997324946809736911454128454853593946271597412153878699087521378804637791844615348775225576395864960396894170065930000475883060343330570240
c_1,15	60397118050222960352006306232716287431489093033686832453209012580213113850341795682769747577961288058931144607418190793284974213370338015116904087956711765/4894800131516643183443537834549380048963487561517790064607942692773133561005338053056304716150039615783831004327398030999530460639830550690687647817141011349504 + (5490381108251005021357292485193459374129665189688386836139146629900665498258807641097768684124260605184216767235063987570683356249945008939743169603753821259α)/10538543841556384907099404506087491640458780427848294151421417481082098741912980870934648504308764493099514422964922579926237078001240294281456031251487134563572908032 - (212664883541474834403698514679135427344493274886152343538523535820346952284584414708958200906208072798832067561783999112850548573355746335430559573281α^2)/6265344168341303274807728428223206462673264078742771282698166646749610958086832707912070036672050708203303685539069479679398989618983104884080189205940494527365120 - (19046008086770626531969147175662806432578947009745538838571155847178727343682723614440697068248006537254569168708827194693793432127790721870936154332639*α^3)/13489336117192172681087237767791989299787238947645816513819414375785086389648615514796350085515218551167378461395100902305583459841587576680263720001903532241373322280960
c_1,16	220619724612626316033218157297417762450634944153610546788831877944712533269706996682862598293494251000092869964732312949040614158115875329605713875509784641/313267208417065163740386421411160323133663203937138564134908332337480547904341635395603501833602535410165184276953473983969949480949155244204009460297024726368256 + (7303984536927187691765488672732217419780000207370218228952957936745113498176119845389376334801099944144103171694614381819783045295601754621521168795932588551α)/146623218665132311750948236606434666302035205952671918628471895388968330322267559943438587886034984251819331102120661981582428911321604094350692608716342741754057850880 - (918353618057329330783240202232052798631396326811108837737690263911808129467395087299713537606851183153171798494260717314479725588124440540428708556757α^2)/400982026773843409587694619406285213611088901039537362092682665391975101317557293306372482347011245325011435874500446699481535335614918712581132109180191649751367680 - (960906641952524844453331155321823332118662584176923150729654853018180126622200889753100430564029797114393555622323325017060791721756880833401366595883*α^3)/7507108795654774361648549714249454914664202544776802233777761043915178512500099069104055699764991193693149752428577893457020360259666129630755461566276748377807761965056
c_1,17	0
c_1,18	0
c_1,19	0
c_1,20	0
c_1,21	0
c_1,22	0
c_1,23	0
c_1,24	0
c_1,25	0
c_1,26	0
c_1,27	0
c_1,28	0
c_2,0	0
c_2,1	0
c_2,2	0
c_2,3	0
c_2,4	0
c_2,5	0
c_2,6	0
c_2,7	0
c_2,8	0
c_2,9	0
c_2,10	0
c_2,11	0
c_2,12	0
c_2,13	0
c_2,14	0
c_2,15	0
c_2,16	0
c_2,17	0
c_2,18	0
c_2,19	0
c_2,20	0
c_2,21	0
c_2,22	0
c_2,23	0
c_2,24	0
c_2,25	0
c_2,26	0
c_2,27	0
c_2,28	0
c_3,0	0
c_3,1	0
c_3,2	0
c_3,3	0
c_3,4	0
c_3,5	0
c_3,6	0
c_3,7	0
c_3,8	0
c_3,9	0
c_3,10	0
c_3,11	0
c_3,12	0
c_3,13	0
c_3,14	0
c_3,15	0
c_3,16	0
c_3,17	0
c_3,18	0
c_3,19	0
c_3,20	0
c_3,21	0
c_3,22	0
c_3,23	0
c_3,24	0
c_3,25	0
c_3,26	0
c_3,27	0
c_3,28	0

COEFFICIENTS OF f (return to top)

Use the notation

[a b c ]

a	b
b	c

Here is a list of some Fourier coefficients of f.

2u det(2u) a(u, f)

[4 -53 704] 7 -74756248183742057/355879032309093199872 + (3975274635421488319*α)/530453356334125014510010368 + (872913017611*α^2)/2459835871320452197515264 - (232855669586401*α^3)/18332467994907360501465958318080

[8 -89 992] 15 687927644461048055/118626344103031066624 - (23051531390047976161*α)/176817785444708338170003456 - (7839460602133*α^2)/819945290440150732505088 + (91843645251217*α^3)/407388177664608011143687962624

[4 -25 160] 15 -51428457419434745/118626344103031066624 + (3812554409827053431*α)/19646420604967593130000384 + (1900563841585*α^2)/2459835871320452197515264 - (416664071425661*α^3)/1222164532993824033431063887872

[12 -109 992] 23 800251921077039523/355879032309093199872 - (835500493188771505301*α)/530453356334125014510010368 - (11625842175961*α^2)/2459835871320452197515264 + (49222004423903051*α^3)/18332467994907360501465958318080

[6 -13 32] 23 800251921077039523/355879032309093199872 - (835500493188771505301*α)/530453356334125014510010368 - (11625842175961*α^2)/2459835871320452197515264 + (49222004423903051*α^3)/18332467994907360501465958318080

[6 -19 64] 23 -1139267341618824757/50839861758441885696 - (117588601842190380859*α)/530453356334125014510010368 + (12800775550511*α^2)/351405124474350313930752 + (8142401957679589*α^3)/18332467994907360501465958318080

[14 -42 128] 28 -73535173528416821/794372839975654464 + (23426415669850564117*α)/8288333692720703351718912 + (95053355479*α^2)/610078341101302628352 - (1383446817557227*α^3)/286444812420427507835405598720

[14 -70 352] 28 -73535173528416821/794372839975654464 + (23426415669850564117*α)/8288333692720703351718912 + (95053355479*α^2)/610078341101302628352 - (1383446817557227*α^3)/286444812420427507835405598720

[8 -42 224] 28 -73535173528416821/794372839975654464 + (23426415669850564117*α)/8288333692720703351718912 + (95053355479*α^2)/610078341101302628352 - (1383446817557227*α^3)/286444812420427507835405598720

[8 -106 1408] 28 73535173528416821/794372839975654464 - (23426415669850564117*α)/8288333692720703351718912 - (95053355479*α^2)/610078341101302628352 + (1383446817557227*α^3)/286444812420427507835405598720

[16 -113 800] 31 -728246117959566163/25419930879220942848 - (939445086480362372221*α)/265226678167062507255005184 + (8266439769449*α^2)/175702562237175156965376 + (55721761626435043*α^3)/9166233997453680250732979159040

[8 -113 1600] 31 -728246117959566163/25419930879220942848 - (939445086480362372221*α)/265226678167062507255005184 + (8266439769449*α^2)/175702562237175156965376 + (55721761626435043*α^3)/9166233997453680250732979159040

[14 -47 160] 31 -25580191401503440307/177939516154546599936 - (140674420125210980333*α)/37889525452437501036429312 + (297121204008457*α^2)/1229917935660226098757632 + (8403115461947891*α^3)/1309461999636240035818997022720

[20 -101 512] 39 -119392985219631970327/118626344103031066624 - (1158107037589178185151*α)/176817785444708338170003456 + (1409241778180469*α^2)/819945290440150732505088 + (13102647145800493*α^3)/1222164532993824033431063887872

[10 -91 832] 39 -2393285873343440127/16946620586147295232 - (2972360359630103795537*α)/176817785444708338170003456 + (84033754291975*α^2)/351405124474350313930752 + (36452949074871299*α^3)/1222164532993824033431063887872

[10 -101 1024] 39 2393285873343440127/16946620586147295232 + (2972360359630103795537*α)/176817785444708338170003456 - (84033754291975*α^2)/351405124474350313930752 - (36452949074871299*α^3)/1222164532993824033431063887872

[8 -27 96] 39 -13430594582334203833/118626344103031066624 + (103648969807323833887*α)/3608526233565476289183744 + (14404753066211*α^2)/91105032271127859167232 - (135547463511589*α^3)/2771348147378285790093115392

[24 -73 224] 47 315782045304712657985/177939516154546599936 - (25369918719256281913255*α)/265226678167062507255005184 - (3662885093315603*α^2)/1229917935660226098757632 + (1452435561197259769*α^3)/9166233997453680250732979159040

[12 -73 448] 47 -152187557333288176471/177939516154546599936 + (2342784276791529010625*α)/265226678167062507255005184 + (1811555364087733*α^2)/1229917935660226098757632 - (109174990955265311*α^3)/9166233997453680250732979159040

[4 9 32] 47 -315782045304712657985/177939516154546599936 + (25369918719256281913255*α)/265226678167062507255005184 + (3662885093315603*α^2)/1229917935660226098757632 - (1452435561197259769*α^3)/9166233997453680250732979159040

[8 -73 672] 47 -152187557333288176471/177939516154546599936 + (2342784276791529010625*α)/265226678167062507255005184 + (1811555364087733*α^2)/1229917935660226098757632 - (109174990955265311*α^3)/9166233997453680250732979159040

[16 -55 192] 47 120025037555407455775/177939516154546599936 - (23955017707048824562169*α)/265226678167062507255005184 - (1247013352744205*α^2)/1229917935660226098757632 + (1391300321113182311*α^3)/9166233997453680250732979159040

[2 4 32] 48 -9834532777521225/115846039163116276 + (3622418814317823991*α)/172673618598347986494144 + (131380889083*α^2)/800727822695459699712 - (64595705727923*α^3)/1989200086252968804412538880

[26 76 224] 48 -9834532777521225/115846039163116276 + (3622418814317823991*α)/172673618598347986494144 + (131380889083*α^2)/800727822695459699712 - (64595705727923*α^3)/1989200086252968804412538880

[6 12 32] 48 -9834532777521225/115846039163116276 + (3622418814317823991*α)/172673618598347986494144 + (131380889083*α^2)/800727822695459699712 - (64595705727923*α^3)/1989200086252968804412538880

[14 36 96] 48 -9834532777521225/115846039163116276 + (3622418814317823991*α)/172673618598347986494144 + (131380889083*α^2)/800727822695459699712 - (64595705727923*α^3)/1989200086252968804412538880

[2 3 32] 55 2862788853062750625185/355879032309093199872 - (89820514989054221039047*α)/530453356334125014510010368 - (3697970277513307*α^2)/273315096813383577501696 + (1063122647143144901*α^3)/3666493598981472100293191663616

[14 -29 64] 55 848074684248902785265/355879032309093199872 - (35924387395158696317047*α)/530453356334125014510010368 - (10049841515682595*α^2)/2459835871320452197515264 + (416857613248716245*α^3)/3666493598981472100293191663616

[14 -99 704] 55 -848074684248902785265/355879032309093199872 + (35924387395158696317047*α)/530453356334125014510010368 + (10049841515682595*α^2)/2459835871320452197515264 - (416857613248716245*α^3)/3666493598981472100293191663616

[8 -35 160] 55 194894941939494624025/50839861758441885696 + (90897190576653572213527*α)/530453356334125014510010368 - (2316844107192347*α^2)/351405124474350313930752 - (1052984202048955829*α^3)/3666493598981472100293191663616

[2 2 32] 60 17079448985412441885/1853536626609860416 - (109172540751977228489*α)/920925965857855927968768 - (199928532285127*α^2)/12811645163127355195392 + (3859506726373409*α^3)/19096320828028500522360373248

[30 -210 1472] 60 17079448985412441885/1853536626609860416 - (109172540751977228489*α)/920925965857855927968768 - (199928532285127*α^2)/12811645163127355195392 + (3859506726373409*α^3)/19096320828028500522360373248

[16 -50 160] 60 -9386980451031610515/1853536626609860416 + (73881855152603401357*α)/306975321952618642656256 + (336466432073179*α^2)/38434935489382065586176 - (7844710598182607*α^3)/19096320828028500522360373248

[16 -178 1984] 60 9386980451031610515/1853536626609860416 - (73881855152603401357*α)/306975321952618642656256 - (336466432073179*α^2)/38434935489382065586176 + (7844710598182607*α^3)/19096320828028500522360373248

[10 -30 96] 60 -9386980451031610515/1853536626609860416 + (73881855152603401357*α)/306975321952618642656256 + (336466432073179*α^2)/38434935489382065586176 - (7844710598182607*α^3)/19096320828028500522360373248

[10 -50 256] 60 -9386980451031610515/1853536626609860416 + (73881855152603401357*α)/306975321952618642656256 + (336466432073179*α^2)/38434935489382065586176 - (7844710598182607*α^3)/19096320828028500522360373248

[8 -50 320] 60 -17079448985412441885/1853536626609860416 + (109172540751977228489*α)/920925965857855927968768 + (199928532285127*α^2)/12811645163127355195392 - (3859506726373409*α^3)/19096320828028500522360373248

[8 -114 1632] 60 17079448985412441885/1853536626609860416 - (109172540751977228489*α)/920925965857855927968768 - (199928532285127*α^2)/12811645163127355195392 + (3859506726373409*α^3)/19096320828028500522360373248

[2 1 32] 63 855220344798246336299/118626344103031066624 + (29204423176991601891635*α)/176817785444708338170003456 - (3338618979649019*α^2)/273315096813383577501696 - (1589957855673080557*α^3)/6110822664969120167155319439360

[16 -225 3168] 63 -239062312551864059579/118626344103031066624 - (14352051382672518755*α)/5358114710445707217272832 + (2919507475376801*α^2)/819945290440150732505088 + (906920507594303*α^3)/61725481464334547142983024640

[4 33 288] 63 239062312551864059579/118626344103031066624 + (14352051382672518755*α)/5358114710445707217272832 - (2919507475376801*α^2)/819945290440150732505088 - (906920507594303*α^3)/61725481464334547142983024640

[12 -159 2112] 63 31333757466554877763/7414146506439441664 - (74756248183742057*α)/355879032309093199872 - (367272632347129*α^2)/51246580652509420781568 + (872913017611*α^3)/2459835871320452197515264

[8 -97 1184] 63 650724951702274382453/118626344103031066624 + (60895502393613659753581*α)/176817785444708338170003456 - (890834882780471*α^2)/91105032271127859167232 - (3518619470413105523*α^3)/6110822664969120167155319439360

[2 0 32] 64 0

[2 8 64] 64 -171895522732051/89318457334708 + (6452985640637705*α)/14792565629945000128 + (5730213443*α^2)/1852107531292505088 - (672390248395*α^3)/920215922707618567962624

[2 16 160] 64 0

[4 8 32] 64 -171895522732051/89318457334708 + (6452985640637705*α)/14792565629945000128 + (5730213443*α^2)/1852107531292505088 - (672390248395*α^3)/920215922707618567962624

[20 56 160] 64 -171895522732051/89318457334708 + (6452985640637705*α)/14792565629945000128 + (5730213443*α^2)/1852107531292505088 - (672390248395*α^3)/920215922707618567962624

[10 -24 64] 64 171895522732051/89318457334708 - (6452985640637705*α)/14792565629945000128 - (5730213443*α^2)/1852107531292505088 + (672390248395*α^3)/920215922707618567962624

[10 -64 416] 64 0

[10 -144 2080] 64 0

[36 -469 6112] 71 -4647511120481383930613/355879032309093199872 + (40906249661847808393363*α)/530453356334125014510010368 + (54899425057085807*α^2)/2459835871320452197515264 - (2066056873767109261*α^3)/18332467994907360501465958318080

[18 -181 1824] 71 1751912020537871602603/355879032309093199872 + (17918764401963103694965*α)/75779050904875002072858624 - (20990175507880561*α^2)/2459835871320452197515264 - (1144174460674017643*α^3)/2618923999272480071637994045440

[18 -235 3072] 71 138023954482355638997/355879032309093199872 - (931037933281944561187*α)/10825578700696428867551232 + (192029647561457*α^2)/2459835871320452197515264 + (46538395470698749*α^3)/374131999896068581662570577920

[12 -85 608] 71 1751912020537871602603/355879032309093199872 + (17918764401963103694965*α)/75779050904875002072858624 - (20990175507880561*α^2)/2459835871320452197515264 - (1144174460674017643*α^3)/2618923999272480071637994045440

[120 277 640] 71 4647511120481383930613/355879032309093199872 - (40906249661847808393363*α)/530453356334125014510010368 - (54899425057085807*α^2)/2459835871320452197515264 + (2066056873767109261*α^3)/18332467994907360501465958318080

[10 -43 192] 71 24029242246852664357/355879032309093199872 + (471443906093126181402269*α)/530453356334125014510010368 - (3378448225428223*α^2)/2459835871320452197515264 - (27482864511490154819*α^3)/18332467994907360501465958318080

[10 -53 288] 71 -138023954482355638997/355879032309093199872 + (931037933281944561187*α)/10825578700696428867551232 - (192029647561457*α^2)/2459835871320452197515264 - (46538395470698749*α^3)/374131999896068581662570577920

[40 -441 4864] 79 898951290857634126377/59313172051515533312 - (52365258467823522324415*α)/88408892722354169085001728 - (31967831942751841*α^2)/1229917935660226098757632 + (1012027044582608843*α^3)/1018470444161520027859219906560

[20 -121 736] 79 -1348953214834834645935/59313172051515533312 - (9623375061467798779*α)/4209947272493055670714368 + (15805569349180349*α^2)/409972645220075366252544 + (6822606207246629*α^3)/145495777737360003979888558080

[190 441 1024] 79 -898951290857634126377/59313172051515533312 + (52365258467823522324415*α)/88408892722354169085001728 + (31967831942751841*α^2)/1229917935660226098757632 - (1012027044582608843*α^3)/1018470444161520027859219906560

[10 -71 512] 79 1348953214834834645935/59313172051515533312 + (9623375061467798779*α)/4209947272493055670714368 - (15805569349180349*α^2)/409972645220075366252544 - (6822606207246629*α^3)/145495777737360003979888558080

[10 -121 1472] 79 34307613415551108417/59313172051515533312 + (53061705429942999500659*α)/29469630907451389695000576 - (33144502218857*α^2)/15184172045187976527872 - (3109954425529593517*α^3)/1018470444161520027859219906560

[44 -397 3584] 87 -2906361911306532178757/118626344103031066624 + (51453030433416050561345*α)/58939261814902779390001152 + (11313343758939253*α^2)/273315096813383577501696 - (2939328909877612831*α^3)/2036940888323040055718439813120

[22 -45 96] 87 2618666949320218861019/118626344103031066624 - (13770348120453114944095*α)/58939261814902779390001152 - (10313929397853355*α^2)/273315096813383577501696 + (231470692465683563*α^3)/678980296107680018572813271040

[22 -243 2688] 87 3024988255409563245381/118626344103031066624 - (51453030433416050561345*α)/58939261814902779390001152 - (11313343758939253*α^2)/273315096813383577501696 + (2939328909877612831*α^3)/2036940888323040055718439813120

[16 -115 832] 87 -2618666949320218861019/118626344103031066624 + (13770348120453114944095*α)/58939261814902779390001152 + (10313929397853355*α^2)/273315096813383577501696 - (231470692465683563*α^3)/678980296107680018572813271040

[12 -51 224] 87 -1142640918889801299499/118626344103031066624 + (48970493794988334899083*α)/25259683634958334024286208 + (3869022420336379*α^2)/273315096813383577501696 - (2852541321204010901*α^3)/872974666424160023879331348480

[134 307 704] 87 -2906361911306532178757/118626344103031066624 + (51453030433416050561345*α)/58939261814902779390001152 + (11313343758939253*α^2)/273315096813383577501696 - (2939328909877612831*α^3)/2036940888323040055718439813120

[46 -138 416] 92 -2787082384545016177/5560609879829581248 + (1857411326255789960039*α)/8288333692720703351718912 + (6477626963587*α^2)/38434935489382065586176 - (97185747023389337*α^3)/286444812420427507835405598720

[46 -230 1152] 92 -2787082384545016177/5560609879829581248 + (1857411326255789960039*α)/8288333692720703351718912 + (6477626963587*α^2)/38434935489382065586176 - (97185747023389337*α^3)/286444812420427507835405598720

[4 6 32] 92 2787082384545016177/5560609879829581248 - (1857411326255789960039*α)/8288333692720703351718912 - (6477626963587*α^2)/38434935489382065586176 + (97185747023389337*α^3)/286444812420427507835405598720

[24 -218 1984] 92 -2787082384545016177/5560609879829581248 + (1857411326255789960039*α)/8288333692720703351718912 + (6477626963587*α^2)/38434935489382065586176 - (97185747023389337*α^3)/286444812420427507835405598720

[26 70 192] 92 2787082384545016177/5560609879829581248 - (1857411326255789960039*α)/8288333692720703351718912 - (6477626963587*α^2)/38434935489382065586176 + (97185747023389337*α^3)/286444812420427507835405598720

[162 374 864] 92 -2787082384545016177/5560609879829581248 + (1857411326255789960039*α)/8288333692720703351718912 + (6477626963587*α^2)/38434935489382065586176 - (97185747023389337*α^3)/286444812420427507835405598720

[6 26 128] 92 3235739097752054015/5560609879829581248 + (9994225484324188628567*α)/8288333692720703351718912 + (44072323927859*α^2)/38434935489382065586176 - (597158115882377897*α^3)/286444812420427507835405598720

[26 -86 288] 92 -3235739097752054015/5560609879829581248 - (9994225484324188628567*α)/8288333692720703351718912 - (44072323927859*α^2)/38434935489382065586176 + (597158115882377897*α^3)/286444812420427507835405598720

[12 -26 64] 92 -2787082384545016177/5560609879829581248 + (1857411326255789960039*α)/8288333692720703351718912 + (6477626963587*α^2)/38434935489382065586176 - (97185747023389337*α^3)/286444812420427507835405598720

[12 -38 128] 92 -3235739097752054015/5560609879829581248 - (9994225484324188628567*α)/8288333692720703351718912 - (44072323927859*α^2)/38434935489382065586176 + (597158115882377897*α^3)/286444812420427507835405598720

[12 -122 1248] 92 2787082384545016177/5560609879829581248 - (1857411326255789960039*α)/8288333692720703351718912 - (6477626963587*α^2)/38434935489382065586176 + (97185747023389337*α^3)/286444812420427507835405598720

[12 -134 1504] 92 3235739097752054015/5560609879829581248 + (9994225484324188628567*α)/8288333692720703351718912 + (44072323927859*α^2)/38434935489382065586176 - (597158115882377897*α^3)/286444812420427507835405598720

[48 -337 2368] 95 -1785762640693447335715/355879032309093199872 + (993310997976177369450389*α)/530453356334125014510010368 + (18947436929602393*α^2)/2459835871320452197515264 - (11631232129170283279*α^3)/3666493598981472100293191663616

[24 -337 4736] 95 9410769577669795709405/355879032309093199872 - (803916728862209602959211*α)/530453356334125014510010368 - (109127539586151335*α^2)/2459835871320452197515264 + (9580313272230685169*α^3)/3666493598981472100293191663616

[4 17 96] 95 -906009790834706253965/355879032309093199872 - (9801911555520243380719*α)/48223032394011364955455488 + (4007819514114877*α^2)/819945290440150732505088 + (122848128664607933*α^3)/333317599907406554572108333056

[16 -81 416] 95 906009790834706253965/355879032309093199872 + (9801911555520243380719*α)/48223032394011364955455488 - (4007819514114877*α^2)/819945290440150732505088 - (122848128664607933*α^3)/333317599907406554572108333056

[6 49 416] 95 -9410769577669795709405/355879032309093199872 + (803916728862209602959211*α)/530453356334125014510010368 + (109127539586151335*α^2)/2459835871320452197515264 - (9580313272230685169*α^3)/3666493598981472100293191663616

[12 -145 1760] 95 15474210730865720647805/355879032309093199872 + (1862025261569103051199*α)/48223032394011364955455488 - (184593506306315143*α^2)/2459835871320452197515264 - (18246438307902509*α^3)/333317599907406554572108333056

[60 145 352] 95 14798403385690176024595/355879032309093199872 + (467277583086342803224411*α)/530453356334125014510010368 - (59022514023257443*α^2)/819945290440150732505088 - (5648216185259667905*α^3)/3666493598981472100293191663616

[10 15 32] 95 -1785762640693447335715/355879032309093199872 + (993310997976177369450389*α)/530453356334125014510010368 + (18947436929602393*α^2)/2459835871320452197515264 - (11631232129170283279*α^3)/3666493598981472100293191663616

[52 -261 1312] 103 12734571336727969547109/118626344103031066624 + (32915190360872752868189*α)/176817785444708338170003456 - (448622314435954493*α^2)/2459835871320452197515264 - (1667361936519295363*α^3)/6110822664969120167155319439360

[4 5 32] 103 -12734571336727969547109/118626344103031066624 - (32915190360872752868189*α)/176817785444708338170003456 + (448622314435954493*α^2)/2459835871320452197515264 + (1667361936519295363*α^3)/6110822664969120167155319439360

[26 -261 2624] 103 -2485241186835692891835/118626344103031066624 - (5403937691321627843267*α)/176817785444708338170003456 + (9632048821839755*α^2)/273315096813383577501696 + (745175196222861917*α^3)/6110822664969120167155319439360

[14 -59 256] 103 8735728772125180162699/118626344103031066624 - (28732826393119325826373*α)/19646420604967593130000384 - (100701913054392337*α^2)/819945290440150732505088 + (15262127677970042483*α^3)/6110822664969120167155319439360

[14 -101 736] 103 -2485241186835692891835/118626344103031066624 - (5403937691321627843267*α)/176817785444708338170003456 + (9632048821839755*α^2)/273315096813383577501696 + (745175196222861917*α^3)/6110822664969120167155319439360

[56 -169 512] 111 1515143486880389564665/118626344103031066624 + (270473184330881047236305*α)/176817785444708338170003456 - (16237078416619195*α^2)/819945290440150732505088 - (5201964689800674437*α^3)/2036940888323040055718439813120

[28 -169 1024] 111 -9143957339451347196535/118626344103031066624 + (1094473426769185407434081*α)/176817785444708338170003456 + (322567688485272767*α^2)/2459835871320452197515264 - (64825672336397637631*α^3)/6110822664969120167155319439360

[120 297 736] 111 -8204087189416595574585/118626344103031066624 + (631588203414559633588975*α)/176817785444708338170003456 + (291631116050124913*α^2)/2459835871320452197515264 - (37050736648409234609*α^3)/6110822664969120167155319439360

[6 9 32] 111 -1515143486880389564665/118626344103031066624 - (270473184330881047236305*α)/176817785444708338170003456 + (16237078416619195*α^2)/819945290440150732505088 + (5201964689800674437*α^3)/2036940888323040055718439813120

[14 -169 2048] 111 -14556827185036090064503/118626344103031066624 + (76320028682968950770017*α)/176817785444708338170003456 + (56922267945869447*α^2)/273315096813383577501696 - (3919580514650964991*α^3)/6110822664969120167155319439360

[14 -183 2400] 111 -10800593665086884655225/118626344103031066624 + (103469793862602095632237*α)/16074344131337121651818496 + (42185590251898985*α^2)/273315096813383577501696 - (6046167146430084979*α^3)/555529333179010924286847221760

[12 -87 640] 111 9143957339451347196535/118626344103031066624 - (1094473426769185407434081*α)/176817785444708338170003456 - (322567688485272767*α^2)/2459835871320452197515264 + (64825672336397637631*α^3)/6110822664969120167155319439360

[10 23 64] 111 8204087189416595574585/118626344103031066624 - (631588203414559633588975*α)/176817785444708338170003456 - (291631116050124913*α^2)/2459835871320452197515264 + (37050736648409234609*α^3)/6110822664969120167155319439360

[2 4 64] 112 -3360470412179197/44659228667354 - (142371518735491*α)/6051504121341136416 + (117343564045*α^2)/926053765646252544 - (408281189*α^3)/13942665495569978302464

[58 172 512] 112 -3360470412179197/44659228667354 - (142371518735491*α)/6051504121341136416 + (117343564045*α^2)/926053765646252544 - (408281189*α^3)/13942665495569978302464

[4 4 32] 112 -3360470412179197/44659228667354 - (142371518735491*α)/6051504121341136416 + (117343564045*α^2)/926053765646252544 - (408281189*α^3)/13942665495569978302464

[28 -84 256] 112 -200340428424656675/1773153660659943 + (472557101321302226197*α)/129505213948760989870608 + (2352925430681*α^2)/12256038102481526016 - (27490550781909067*α^3)/4475700194069179809928212480

[28 -140 704] 112 -200340428424656675/1773153660659943 + (472557101321302226197*α)/129505213948760989870608 + (2352925430681*α^2)/12256038102481526016 - (27490550781909067*α^3)/4475700194069179809928212480

[28 -196 1376] 112 -3360470412179197/44659228667354 - (142371518735491*α)/6051504121341136416 + (117343564045*α^2)/926053765646252544 - (408281189*α^3)/13942665495569978302464

[14 -28 64] 112 3360470412179197/44659228667354 + (142371518735491*α)/6051504121341136416 - (117343564045*α^2)/926053765646252544 + (408281189*α^3)/13942665495569978302464

[14 -84 512] 112 3360470412179197/44659228667354 + (142371518735491*α)/6051504121341136416 - (117343564045*α^2)/926053765646252544 + (408281189*α^3)/13942665495569978302464

[8 12 32] 112 -3360470412179197/44659228667354 - (142371518735491*α)/6051504121341136416 + (117343564045*α^2)/926053765646252544 - (408281189*α^3)/13942665495569978302464

[16 -84 448] 112 -200340428424656675/1773153660659943 + (472557101321302226197*α)/129505213948760989870608 + (2352925430681*α^2)/12256038102481526016 - (27490550781909067*α^3)/4475700194069179809928212480

[16 -148 1376] 112 3360470412179197/44659228667354 + (142371518735491*α)/6051504121341136416 - (117343564045*α^2)/926053765646252544 + (408281189*α^3)/13942665495569978302464

[16 -212 2816] 112 200340428424656675/1773153660659943 - (472557101321302226197*α)/129505213948760989870608 - (2352925430681*α^2)/12256038102481526016 + (27490550781909067*α^3)/4475700194069179809928212480

[2 3 64] 119 -39183102971313821417311/177939516154546599936 + (1750540680729506596698233*α)/265226678167062507255005184 + (456160261093223245*α^2)/1229917935660226098757632 - (103422576757733407847*α^3)/9166233997453680250732979159040

[30 -61 128] 119 1668700834270283121233/177939516154546599936 - (6901806039556060538839*α)/265226678167062507255005184 - (17031665684878787*α^2)/1229917935660226098757632 + (942014801045253193*α^3)/9166233997453680250732979159040

[30 -451 6784] 119 39183102971313821417311/177939516154546599936 - (1750540680729506596698233*α)/265226678167062507255005184 - (456160261093223245*α^2)/1229917935660226098757632 + (103422576757733407847*α^3)/9166233997453680250732979159040

[20 -61 192] 119 1792040264622793071209/177939516154546599936 - (808617461904392693931199*α)/265226678167062507255005184 - (13670383186166027*α^2)/1229917935660226098757632 + (46334491430758183393*α^3)/9166233997453680250732979159040

[90 221 544] 119 -7546496231654737550129/177939516154546599936 + (385636756724962704179959*α)/265226678167062507255005184 + (97202616932958307*α^2)/1229917935660226098757632 - (24120954712853388073*α^3)/9166233997453680250732979159040

[16 -67 288] 119 -17348658461632575578345/177939516154546599936 - (44209000859583342196963*α)/24111516197005682477727744 + (208532201280379531*α^2)/1229917935660226098757632 + (2492999934075906877*α^3)/833293999768516386430270832640

[8 67 576] 119 1668700834270283121233/177939516154546599936 - (6901806039556060538839*α)/265226678167062507255005184 - (17031665684878787*α^2)/1229917935660226098757632 + (942014801045253193*α^3)/9166233997453680250732979159040

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[16 -98 608] 124 11992475146504280303/397186419987827232 + (910530263304247922033*α)/4144166846360351675859456 - (44691080201567*α^2)/915117511651953942528 - (55575569934197519*α^3)/143222406210213753917702799360

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[2 0 64] 128 0

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[4 32 288] 128 0

[6 8 32] 128 10630063410274984286/86884529372337207 + (13068102149256334525*α)/9250372424911499276472 - (61593448411669*α^2)/300272933510797387392 - (827217080902027*α^3)/319692871004941414994872320

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[18 -112 704] 128 0

[18 -256 3648] 128 0

[12 16 32] 128 0

[12 -64 352] 128 98471273653835/911412829946 - (2974779442897925*α)/3169835492131071456 - (3662513147*α^2)/18899056441760256 + (114245280085*α^3)/65729708764829897711616

[12 -112 1056] 128 0

[68 -885 11520] 135 904741140522183761855/4236655146536823808 - (49875717408705357268889*α)/6314920908739583506071552 - (390950578826775*α^2)/1084583717513426894848 + (575596426597308635*α^3)/43648733321208001193966567424

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[18 -199 2208] 143 72881439762340838778721/355879032309093199872 - (5327509674482684941682183*α)/530453356334125014510010368 - (284563587876383441*α^2)/819945290440150732505088 + (62084699168674134661*α^3)/3666493598981472100293191663616

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[76 -685 6176] 151 42029740588940525618755/118626344103031066624 - (3723889797243603824555765*α)/176817785444708338170003456 - (490865679369481145*α^2)/819945290440150732505088 + (214870339643068693739*α^3)/6110822664969120167155319439360

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[8 19 64] 151 10137234654406218966515/118626344103031066624 + (45937452164491234500283*α)/176817785444708338170003456 - (381663895394792027*α^2)/2459835871320452197515264 - (88323466107433061*α^3)/6110822664969120167155319439360

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[10 83 704] 151 -5762062739374686780445/118626344103031066624 - (1585782626028430784468309*α)/176817785444708338170003456 + (68974806384054119*α^2)/819945290440150732505088 + (96326146991455175819*α^3)/6110822664969120167155319439360

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[26 -182 1280] 156 287255204875347424573/1853536626609860416 + (4496933451152669871571*α)/394682556796223969129472 - (3275510088578087*α^2)/12811645163127355195392 - (5669492199745537*α^3)/303116203619500008291434496

[8 10 32] 156 287255204875347424573/1853536626609860416 + (4496933451152669871571*α)/394682556796223969129472 - (3275510088578087*α^2)/12811645163127355195392 - (5669492199745537*α^3)/303116203619500008291434496

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[82 198 480] 156 -493615895663280195507/1853536626609860416 - (3480021022452762711467*α)/2762777897573567783906304 + (17111561299524091*α^2)/38434935489382065586176 + (53415118399112465*α^3)/19096320828028500522360373248

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[16 -54 192] 156 -708373821054283547293/1853536626609860416 + (46170210086090797214555*α)/2762777897573567783906304 + (25587564180317141*α^2)/38434935489382065586176 - (540183006593725217*α^3)/19096320828028500522360373248

[16 -182 2080] 156 708373821054283547293/1853536626609860416 - (46170210086090797214555*α)/2762777897573567783906304 - (25587564180317141*α^2)/38434935489382065586176 + (540183006593725217*α^3)/19096320828028500522360373248

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[10 81 672] 159 -816474989718949380981/2420945798021042176 - (595381999667994000445343*α)/58939261814902779390001152 + (9491775658746863*α^2)/16733577355921443520512 + (12391190165471267243*α^3)/678980296107680018572813271040

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[42 -379 3424] 167 147606756402534773333011/355879032309093199872 - (18395385227913820778378021*α)/530453356334125014510010368 - (576974163434375779*α^2)/819945290440150732505088 + (1065415210537403153339*α^3)/18332467994907360501465958318080

[42 -421 4224] 167 -67884986539820559996211/355879032309093199872 + (4205829020091032927761925*α)/530453356334125014510010368 + (797138007375471241*α^2)/2459835871320452197515264 - (248698667989620907739*α^3)/18332467994907360501465958318080

[28 -421 6336] 167 -388913071782932017000627/355879032309093199872 - (1527638619465181185979771*α)/530453356334125014510010368 + (4545012051402317065*α^2)/2459835871320452197515264 + (76249782292687642021*α^3)/18332467994907360501465958318080

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[22 -69 224] 167 279096483937222999629821/355879032309093199872 + (608442702978684386791733*α)/530453356334125014510010368 - (1072953331077136301*α^2)/819945290440150732505088 - (27674482681873131179*α^3)/18332467994907360501465958318080

[22 -91 384] 167 -33750679565437329078701/355879032309093199872 - (362203575497593425529039*α)/48223032394011364955455488 + (392480036621012503*α^2)/2459835871320452197515264 + (21016194780701223889*α^3)/1666587999537032772860541665280

[14 -155 1728] 167 -279096483937222999629821/355879032309093199872 - (608442702978684386791733*α)/530453356334125014510010368 + (1072953331077136301*α^2)/819945290440150732505088 + (27674482681873131179*α^3)/18332467994907360501465958318080

[14 -197 2784] 167 -147606756402534773333011/355879032309093199872 + (18395385227913820778378021*α)/530453356334125014510010368 + (576974163434375779*α^2)/819945290440150732505088 - (1065415210537403153339*α^3)/18332467994907360501465958318080

[16 -37 96] 167 6095392422297221928749/7262837394063126528 - (35990082237503330709793579*α)/530453356334125014510010368 - (24309274883868125*α^2)/16733577355921443520512 + (2104951426103077546741*α^3)/18332467994907360501465958318080

[12 101 864] 167 67884986539820559996211/355879032309093199872 - (4205829020091032927761925*α)/530453356334125014510010368 - (797138007375471241*α^2)/2459835871320452197515264 + (248698667989620907739*α^3)/18332467994907360501465958318080

[88 -265 800] 175 324117782011537420567925/355879032309093199872 - (7570916165102603457916435*α)/530453356334125014510010368 - (1253428639326404005*α^2)/819945290440150732505088 + (88360961186659559273*α^3)/3666493598981472100293191663616

[44 -265 1600] 175 -25304650633327051704955/355879032309093199872 + (296199217910554252835095*α)/48223032394011364955455488 + (308004766649538785*α^2)/2459835871320452197515264 - (3380583970845435317*α^3)/333317599907406554572108333056

[4 9 64] 175 -238889119366852650916805/355879032309093199872 + (29390073775000404391640515*α)/530453356334125014510010368 + (909310644369701365*α^2)/819945290440150732505088 - (334544348048716959353*α^3)/3666493598981472100293191663616

[8 9 32] 175 -324117782011537420567925/355879032309093199872 + (7570916165102603457916435*α)/530453356334125014510010368 + (1253428639326404005*α^2)/819945290440150732505088 - (88360961186659559273*α^3)/3666493598981472100293191663616

[22 -265 3200] 175 -107247222005838302404315/355879032309093199872 + (450317928301954972786235*α)/75779050904875002072858624 + (1211067178853031425*α^2)/2459835871320452197515264 - (5108727712104670561*α^3)/523784799854496014327598809088

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[90 268 800] 176 190991395321001001101/347538117489348828 - (4773208389146020580467*α)/518020855795043959482432 - (2286493537420487*α^2)/2402183468086379099136 + (283843386423974749*α^3)/17902800776276719239712849920

[30 -92 288] 176 -88986126142575903235/347538117489348828 + (11819109830616657610301*α)/518020855795043959482432 + (1078948419778921*α^2)/2402183468086379099136 - (713187640256006771*α^3)/17902800776276719239712849920

[30 -212 1504] 176 190991395321001001101/347538117489348828 - (4773208389146020580467*α)/518020855795043959482432 - (2286493537420487*α^2)/2402183468086379099136 + (283843386423974749*α^3)/17902800776276719239712849920

[30 -332 3680] 176 88986126142575903235/347538117489348828 - (11819109830616657610301*α)/518020855795043959482432 - (1078948419778921*α^2)/2402183468086379099136 + (713187640256006771*α^3)/17902800776276719239712849920

[30 -452 6816] 176 -190991395321001001101/347538117489348828 + (4773208389146020580467*α)/518020855795043959482432 + (2286493537420487*α^2)/2402183468086379099136 - (283843386423974749*α^3)/17902800776276719239712849920

[22 -44 96] 176 -190991395321001001101/347538117489348828 + (4773208389146020580467*α)/518020855795043959482432 + (2286493537420487*α^2)/2402183468086379099136 - (283843386423974749*α^3)/17902800776276719239712849920

[22 -132 800] 176 -190991395321001001101/347538117489348828 + (4773208389146020580467*α)/518020855795043959482432 + (2286493537420487*α^2)/2402183468086379099136 - (283843386423974749*α^3)/17902800776276719239712849920

[10 12 32] 176 190991395321001001101/347538117489348828 - (4773208389146020580467*α)/518020855795043959482432 - (2286493537420487*α^2)/2402183468086379099136 + (283843386423974749*α^3)/17902800776276719239712849920

[18 -92 480] 176 -88986126142575903235/347538117489348828 + (11819109830616657610301*α)/518020855795043959482432 + (1078948419778921*α^2)/2402183468086379099136 - (713187640256006771*α^3)/17902800776276719239712849920

[18 -164 1504] 176 -190991395321001001101/347538117489348828 + (4773208389146020580467*α)/518020855795043959482432 + (2286493537420487*α^2)/2402183468086379099136 - (283843386423974749*α^3)/17902800776276719239712849920

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[94 -658 4608] 188 816936880333520302451/2780304939914790624 - (173418276888019706238037*α)/4144166846360351675859456 - (9158512566709481*α^2)/19217467744691032793088 + (10235686637075629483*α^3)/143222406210213753917702799360

[48 -146 448] 188 1435620813453917355061/2780304939914790624 - (85948594754085929174723*α)/4144166846360351675859456 - (16145876932951823*α^2)/19217467744691032793088 + (5031186100917863357*α^3)/143222406210213753917702799360

[48 -530 5856] 188 -1435620813453917355061/2780304939914790624 + (85948594754085929174723*α)/4144166846360351675859456 + (16145876932951823*α^2)/19217467744691032793088 - (5031186100917863357*α^3)/143222406210213753917702799360

[6 2 32] 188 816936880333520302451/2780304939914790624 - (173418276888019706238037*α)/4144166846360351675859456 - (9158512566709481*α^2)/19217467744691032793088 + (10235686637075629483*α^3)/143222406210213753917702799360

[6 14 64] 188 -1435620813453917355061/2780304939914790624 + (85948594754085929174723*α)/4144166846360351675859456 + (16145876932951823*α^2)/19217467744691032793088 - (5031186100917863357*α^3)/143222406210213753917702799360

[142 350 864] 188 1435620813453917355061/2780304939914790624 - (85948594754085929174723*α)/4144166846360351675859456 - (16145876932951823*α^2)/19217467744691032793088 + (5031186100917863357*α^3)/143222406210213753917702799360

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[24 -146 896] 188 -816936880333520302451/2780304939914790624 + (173418276888019706238037*α)/4144166846360351675859456 + (9158512566709481*α^2)/19217467744691032793088 - (10235686637075629483*α^3)/143222406210213753917702799360

[24 -338 4768] 188 816936880333520302451/2780304939914790624 - (173418276888019706238037*α)/4144166846360351675859456 - (9158512566709481*α^2)/19217467744691032793088 + (10235686637075629483*α^3)/143222406210213753917702799360

[8 18 64] 188 -1435620813453917355061/2780304939914790624 + (85948594754085929174723*α)/4144166846360351675859456 + (16145876932951823*α^2)/19217467744691032793088 - (5031186100917863357*α^3)/143222406210213753917702799360

[112 274 672] 188 1435620813453917355061/2780304939914790624 - (85948594754085929174723*α)/4144166846360351675859456 - (16145876932951823*α^2)/19217467744691032793088 + (5031186100917863357*α^3)/143222406210213753917702799360

[12 14 32] 188 816936880333520302451/2780304939914790624 - (173418276888019706238037*α)/4144166846360351675859456 - (9158512566709481*α^2)/19217467744691032793088 + (10235686637075629483*α^3)/143222406210213753917702799360

[16 -146 1344] 188 -816936880333520302451/2780304939914790624 + (173418276888019706238037*α)/4144166846360351675859456 + (9158512566709481*α^2)/19217467744691032793088 - (10235686637075629483*α^3)/143222406210213753917702799360

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[14 34 96] 188 -1435620813453917355061/2780304939914790624 + (85948594754085929174723*α)/4144166846360351675859456 + (16145876932951823*α^2)/19217467744691032793088 - (5031186100917863357*α^3)/143222406210213753917702799360

[102 242 576] 188 1435620813453917355061/2780304939914790624 - (85948594754085929174723*α)/4144166846360351675859456 - (16145876932951823*α^2)/19217467744691032793088 + (5031186100917863357*α^3)/143222406210213753917702799360

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[2 1 96] 191 58290671016525673105073/177939516154546599936 + (113964306576140019593275*α)/24111516197005682477727744 - (626773118999464163*α^2)/1229917935660226098757632 - (1175429159651916257*α^3)/166658799953703277286054166528

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[2 0 96] 192 0

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[30 -151 768] 239 -555514808719411418343559/177939516154546599936 + (4748933914283150716636817*α)/265226678167062507255005184 + (2190691153797493015*α^2)/409972645220075366252544 - (241826957775359840591*α^3)/9166233997453680250732979159040

[30 -361 4352] 239 153731790639554939745193/25419930879220942848 - (13148584283935379791880825*α)/265226678167062507255005184 - (1790558768044089035*α^2)/175702562237175156965376 + (764948781549346477031*α^3)/9166233997453680250732979159040

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[198 457 1056] 239 698675878796447959575905/177939516154546599936 + (1195891754016913167341945*α)/265226678167062507255005184 - (8209078880093693299*α^2)/1229917935660226098757632 - (133488358212230159591*α^3)/9166233997453680250732979159040

[22 -137 864] 239 -173586142638816791579849/177939516154546599936 + (36866673153997050949968415*α)/265226678167062507255005184 + (2156976654173998763*α^2)/1229917935660226098757632 - (2194792814984718160129*α^3)/9166233997453680250732979159040

[22 -247 2784] 239 53954875845174628425281/177939516154546599936 - (2379572434270808953764193*α)/37889525452437501036429312 - (654283653638894099*α^2)/1229917935660226098757632 + (142458665110219033087*α^3)/1309461999636240035818997022720

[18 -169 1600] 239 -173586142638816791579849/177939516154546599936 + (36866673153997050949968415*α)/265226678167062507255005184 + (2156976654173998763*α^2)/1229917935660226098757632 - (2194792814984718160129*α^3)/9166233997453680250732979159040

[2 4 128] 240 -289205056856250225/44659228667354 + (7901379125506503515*α)/66566545334752500576 + (1121980770809*α^2)/102894862849583616 - (93264633667481*α^3)/460107961353809283981312

[122 364 1088] 240 -289205056856250225/44659228667354 + (7901379125506503515*α)/66566545334752500576 + (1121980770809*α^2)/102894862849583616 - (93264633667481*α^3)/460107961353809283981312

[4 4 64] 240 92002348660813447965/28961509790779069 - (570192293707365824643*α)/4796489405509666291504 - (3208443428411765*α^2)/600545867021594774784 + (59514960934075393*α^3)/298380012937945320661880832

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[60 -300 1504] 240 -2072395313367775/6379889809622 + (974077506749715505*α)/22188848444917500192 + (8659813079*α^2)/14699266121369088 - (3515037463225*α^3)/51123106817089920442368

[60 -420 2944] 240 92002348660813447965/28961509790779069 - (570192293707365824643*α)/4796489405509666291504 - (3208443428411765*α^2)/600545867021594774784 + (59514960934075393*α^3)/298380012937945320661880832

[6 12 64] 240 2072395313367775/6379889809622 - (974077506749715505*α)/22188848444917500192 - (8659813079*α^2)/14699266121369088 + (3515037463225*α^3)/51123106817089920442368

[46 132 384] 240 2072395313367775/6379889809622 - (974077506749715505*α)/22188848444917500192 - (8659813079*α^2)/14699266121369088 + (3515037463225*α^3)/51123106817089920442368

[30 -60 128] 240 289205056856250225/44659228667354 - (7901379125506503515*α)/66566545334752500576 - (1121980770809*α^2)/102894862849583616 + (93264633667481*α^3)/460107961353809283981312

[30 -180 1088] 240 289205056856250225/44659228667354 - (7901379125506503515*α)/66566545334752500576 - (1121980770809*α^2)/102894862849583616 + (93264633667481*α^3)/460107961353809283981312

[8 4 32] 240 -289205056856250225/44659228667354 + (7901379125506503515*α)/66566545334752500576 + (1121980770809*α^2)/102894862849583616 - (93264633667481*α^3)/460107961353809283981312

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[32 -356 3968] 240 34977256715003241395/28961509790779069 - (470847863282504404703*α)/3924400422689726965776 - (426804388591433*α^2)/200181955673864924928 + (5604027044759053*α^3)/27125455721631392787443712

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[34 92 256] 240 2072395313367775/6379889809622 - (974077506749715505*α)/22188848444917500192 - (8659813079*α^2)/14699266121369088 + (3515037463225*α^3)/51123106817089920442368

[12 12 32] 240 -289205056856250225/44659228667354 + (7901379125506503515*α)/66566545334752500576 + (1121980770809*α^2)/102894862849583616 - (93264633667481*α^3)/460107961353809283981312

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[16 -228 3264] 240 92002348660813447965/28961509790779069 - (570192293707365824643*α)/4796489405509666291504 - (3208443428411765*α^2)/600545867021594774784 + (59514960934075393*α^3)/298380012937945320661880832

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[126 -882 6176] 252 4917751027982438949081/1853536626609860416 + (87547476237666463910081*α)/2762777897573567783906304 - (19240761333680233*α^2)/4270548387709118398464 - (5323702659685413439*α^3)/95481604140142502611801866240

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[64 -450 3168] 252 824732312337100097943/1853536626609860416 + (2363913070313856528847*α)/83720542350714175269888 - (11560161441757973*α^2)/12811645163127355195392 - (37571551609258939*α^3)/964460647880227299109109760

[42 -126 384] 252 186160754110953136801/115846039163116276 - (73535173528416821*α)/794372839975654464 - (2200554646210579*α^2)/800727822695459699712 + (95053355479*α^3)/610078341101302628352

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[8 2 32] 252 4917751027982438949081/1853536626609860416 + (87547476237666463910081*α)/2762777897573567783906304 - (19240761333680233*α^2)/4270548387709118398464 - (5323702659685413439*α^3)/95481604140142502611801866240

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[36 -433 5216] 287 -26383635426940414771217/14828293012878883328 - (87542724093264797101049*α)/451065779195684536147968 + (357009853109580931*α^2)/102493161305018841563136 + (1015533518321525371*α^3)/3117766665800571513854754816

[338 785 1824] 287 -161213687230638697873137/14828293012878883328 + (2458993355356155252991949*α)/7367407726862847423750144 + (5743819320111972937*α^2)/307479483915056524689408 - (86949166634935276741*α^3)/152770566624228004178882985984

[24 -241 2432] 287 -27398774186560627930505/14828293012878883328 + (3428178477854663682489055*α)/22102223180588542271250432 + (1052053916078616769*α^2)/307479483915056524689408 - (42875111369069680909*α^3)/152770566624228004178882985984

[12 49 224] 287 -3937954941798126279565/2118327573268411904 - (2987727821972957167182275*α)/22102223180588542271250432 + (139900566094431077*α^2)/43925640559293789241344 + (33194102716906867385*α^3)/152770566624228004178882985984

[26 -239 2208] 287 27398774186560627930505/14828293012878883328 - (3428178477854663682489055*α)/22102223180588542271250432 - (1052053916078616769*α^2)/307479483915056524689408 + (42875111369069680909*α^3)/152770566624228004178882985984

[26 -369 5248] 287 -39608391936672354798155/14828293012878883328 - (2493542428010008041707555*α)/22102223180588542271250432 + (42565261352690857*α^2)/11388129033890982395904 + (32442544906636004857*α^3)/152770566624228004178882985984

[24 -271 3072] 287 -3937954941798126279565/2118327573268411904 - (2987727821972957167182275*α)/22102223180588542271250432 + (139900566094431077*α^2)/43925640559293789241344 + (33194102716906867385*α^3)/152770566624228004178882985984

[18 -271 4096] 287 -33795033890865341384781/14828293012878883328 + (4353315957038740350125195*α)/22102223180588542271250432 + (375014401428426199*α^2)/102493161305018841563136 - (51881719772766135601*α^3)/152770566624228004178882985984

[148 -741 3712] 295 -223824556415999314869245/16946620586147295232 + (2432449791279649448163685*α)/19646420604967593130000384 + (7823021855165939477*α^2)/351405124474350313930752 - (277311321391085740151*α^3)/1222164532993824033431063887872

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[154 460 1376] 304 1381210410887148055727/347538117489348828 + (35733227458555319363375*α)/518020855795043959482432 - (16019138443595117*α^2)/2402183468086379099136 - (2176849662589542881*α^3)/17902800776276719239712849920

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[38 -228 1376] 304 -1381210410887148055727/347538117489348828 - (35733227458555319363375*α)/518020855795043959482432 + (16019138443595117*α^2)/2402183468086379099136 + (2176849662589542881*α^3)/17902800776276719239712849920

[10 4 32] 304 1381210410887148055727/347538117489348828 + (35733227458555319363375*α)/518020855795043959482432 - (16019138443595117*α^2)/2402183468086379099136 - (2176849662589542881*α^3)/17902800776276719239712849920

[10 44 224] 304 2643636016235411306015/347538117489348828 - (10516952958290274989719*α)/74002979399291994211776 - (30793301694454589*α^2)/2402183468086379099136 + (618415897551373177*α^3)/2557542968039531319958978560

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[22 -156 1120] 304 1381210410887148055727/347538117489348828 + (35733227458555319363375*α)/518020855795043959482432 - (16019138443595117*α^2)/2402183468086379099136 - (2176849662589542881*α^3)/17902800776276719239712849920

[22 -244 2720] 304 2643636016235411306015/347538117489348828 - (10516952958290274989719*α)/74002979399291994211776 - (30793301694454589*α^2)/2402183468086379099136 + (618415897551373177*α^3)/2557542968039531319958978560

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[12 6 32] 348 -10108014077046747879719/1853536626609860416 + (733547628952197331426369*α)/2762777897573567783906304 + (38276311046686871*α^2)/4270548387709118398464 - (44914999579163193791*α^3)/95481604140142502611801866240

[32 -230 1664] 348 -10108014077046747879719/1853536626609860416 + (733547628952197331426369*α)/2762777897573567783906304 + (38276311046686871*α^2)/4270548387709118398464 - (44914999579163193791*α^3)/95481604140142502611801866240

[26 -134 704] 348 9941471790626472484007/1853536626609860416 - (415003131041748697304939*α)/920925965857855927968768 - (39569899963913495*α^2)/4270548387709118398464 + (24747215945546310037*α^3)/31827201380047500870600622080

[26 -186 1344] 348 -10108014077046747879719/1853536626609860416 + (733547628952197331426369*α)/2762777897573567783906304 + (38276311046686871*α^2)/4270548387709118398464 - (44914999579163193791*α^3)/95481604140142502611801866240

[26 -342 4512] 348 -9941471790626472484007/1853536626609860416 + (415003131041748697304939*α)/920925965857855927968768 + (39569899963913495*α^2)/4270548387709118398464 - (24747215945546310037*α^3)/31827201380047500870600622080

[26 -394 5984] 348 10108014077046747879719/1853536626609860416 - (733547628952197331426369*α)/2762777897573567783906304 - (38276311046686871*α^2)/4270548387709118398464 + (44914999579163193791*α^3)/95481604140142502611801866240

[22 -90 384] 348 -15523850424324614151831/1853536626609860416 - (17202094901501438996453*α)/920925965857855927968768 + (183889995651857941*α^2)/12811645163127355195392 + (1815981992598674203*α^3)/31827201380047500870600622080

[22 -134 832] 348 -14403901713811275530713/1853536626609860416 + (139495145040484553608455*α)/306975321952618642656256 + (19264576367423267*α^2)/1423516129236372799488 - (8123723114170917881*α^3)/10609067126682500290200207360

[22 -266 3232] 348 15523850424324614151831/1853536626609860416 + (17202094901501438996453*α)/920925965857855927968768 - (183889995651857941*α^2)/12811645163127355195392 - (1815981992598674203*α^3)/31827201380047500870600622080

[22 -310 4384] 348 14403901713811275530713/1853536626609860416 - (139495145040484553608455*α)/306975321952618642656256 - (19264576367423267*α^2)/1423516129236372799488 + (8123723114170917881*α^3)/10609067126682500290200207360

[24 -102 448] 348 -15523850424324614151831/1853536626609860416 - (17202094901501438996453*α)/920925965857855927968768 + (183889995651857941*α^2)/12811645163127355195392 + (1815981992598674203*α^3)/31827201380047500870600622080

[24 -294 3616] 348 15523850424324614151831/1853536626609860416 + (17202094901501438996453*α)/920925965857855927968768 - (183889995651857941*α^2)/12811645163127355195392 - (1815981992598674203*α^3)/31827201380047500870600622080

[52 134 352] 348 14403901713811275530713/1853536626609860416 - (139495145040484553608455*α)/306975321952618642656256 - (19264576367423267*α^2)/1423516129236372799488 + (8123723114170917881*α^3)/10609067126682500290200207360

[268 614 1408] 348 -14403901713811275530713/1853536626609860416 + (139495145040484553608455*α)/306975321952618642656256 + (19264576367423267*α^2)/1423516129236372799488 - (8123723114170917881*α^3)/10609067126682500290200207360

[176 -1233 8640] 351 -638588940142047640462457/29656586025757766656 + (30623212302298569615183983*α)/44204446361177084542500864 + (273975170762452193*α^2)/7592086022593988263936 - (364150971383089143485*α^3)/305541133248456008357765971968

[88 -1233 17280] 351 -37617467868464336081437/29656586025757766656 - (3859254571717160002570727*α)/14734815453725694847500288 + (459244841967590695*α^2)/204986322610037683126272 + (5290821391193130493*α^3)/11316338268461333642880221184

[4 17 160] 351 211579531379976042551957/29656586025757766656 - (1444569122882353988457211*α)/4911605151241898282500096 - (273465377361360599*α^2)/22776258067781964791808 + (46133191389815281315*α^3)/101847044416152002785921990656

[60 -303 1536] 351 -687505955055368551539099/118626344103031066624 - (8666054088672324386843851*α)/19646420604967593130000384 + (2442554590404001643*α^2)/273315096813383577501696 + (102661930844504845841*α^3)/135796059221536003714562654208

[44 -529 6368] 351 26829645790957373840671/29656586025757766656 + (21851603295338568538561799*α)/44204446361177084542500864 - (51770671171680997*α^2)/22776258067781964791808 - (255443913527691781253*α^3)/305541133248456008357765971968

[188 465 1152] 351 -350581486317016833824023/29656586025757766656 + (6302406843773246012910007*α)/6314920908739583506071552 + (1389166270344453799*α^2)/68328774203345894375424 - (73185188130623076373*α^3)/43648733321208001193966567424

[36 -111 352] 351 -645758195732872491297535/29656586025757766656 + (7484025508294241336210867*α)/14734815453725694847500288 + (2566140159695191183*α^2)/68328774203345894375424 - (29187788896320195523*α^3)/33949014805384000928640663552

[352 815 1888] 351 -211579531379976042551957/29656586025757766656 + (1444569122882353988457211*α)/4911605151241898282500096 + (273465377361360599*α^2)/22776258067781964791808 - (46133191389815281315*α^3)/101847044416152002785921990656

[30 -273 2496] 351 -847503043811725061622693/118626344103031066624 + (3725987074113506740326795*α)/19646420604967593130000384 + (392043735165255277*α^2)/30368344090375953055744 - (141746459124492471539*α^3)/407388177664608011143687962624

[30 -303 3072] 351 847503043811725061622693/118626344103031066624 - (3725987074113506740326795*α)/19646420604967593130000384 - (392043735165255277*α^2)/30368344090375953055744 + (141746459124492471539*α^3)/407388177664608011143687962624

[22 -111 576] 351 -645758195732872491297535/29656586025757766656 + (7484025508294241336210867*α)/14734815453725694847500288 + (2566140159695191183*α^2)/68328774203345894375424 - (29187788896320195523*α^3)/33949014805384000928640663552

[20 -303 4608] 351 638588940142047640462457/29656586025757766656 - (30623212302298569615183983*α)/44204446361177084542500864 - (273975170762452193*α^2)/7592086022593988263936 + (364150971383089143485*α^3)/305541133248456008357765971968

[44 111 288] 351 389365953995027920241071/29656586025757766656 - (10806156576457792426894351*α)/6314920908739583506071552 - (1564273966592401727*α^2)/68328774203345894375424 + (129895876178604571933*α^3)/43648733321208001193966567424

[24 -81 288] 351 -419525102565162899701461/118626344103031066624 - (4757101443555394192931365*α)/19646420604967593130000384 + (1666838304821879557*α^2)/273315096813383577501696 + (5569600840243120775*α^3)/15088451024615111523840294912

[20 -47 128] 351 -350581486317016833824023/29656586025757766656 + (6302406843773246012910007*α)/6314920908739583506071552 + (1389166270344453799*α^2)/68328774203345894375424 - (73185188130623076373*α^3)/43648733321208001193966567424

[180 -901 4512] 359 -870548951713352761761733/118626344103031066624 + (174786531148874968185019459*α)/176817785444708338170003456 + (383680393417808525*α^2)/30368344090375953055744 - (10061034825749369039069*α^3)/6110822664969120167155319439360

[4 5 96] 359 -2344978643783478298281643/118626344103031066624 + (19948136886555622749588743*α)/16074344131337121651818496 + (83336999947131901267*α^2)/2459835871320452197515264 - (401756307939086829107*α^3)/185176444393003641428949073920

[90 -901 9024] 359 -1215028381738498147990181/118626344103031066624 + (61462082548275789781944097*α)/58939261814902779390001152 + (4682539358308451797*α^2)/273315096813383577501696 - (1225873898650385332501*α^3)/678980296107680018572813271040

[60 -901 13536] 359 2344978643783478298281643/118626344103031066624 - (19948136886555622749588743*α)/16074344131337121651818496 - (83336999947131901267*α^2)/2459835871320452197515264 + (401756307939086829107*α^3)/185176444393003641428949073920

[68 197 576] 359 -1709833049953081566903947/118626344103031066624 - (135279087891325513728754835*α)/176817785444708338170003456 + (60994325872114998323*α^2)/2459835871320452197515264 + (8245411553036308514189*α^3)/6110822664969120167155319439360

[46 -187 768] 359 3867448613040728201550709/118626344103031066624 + (94364223017599070429967725*α)/176817785444708338170003456 - (15370274398556047525*α^2)/273315096813383577501696 - (5515568541768765874291*α^3)/6110822664969120167155319439360

[46 -325 2304] 359 3782041301278011672639243/118626344103031066624 - (17295020012442469074136039*α)/16074344131337121651818496 - (135749131735577228467*α^2)/2459835871320452197515264 + (1000952809043836395961*α^3)/555529333179010924286847221760

[36 -325 2944] 359 -35918740779874514744869/2420945798021042176 + (241374935646061039491355891*α)/176817785444708338170003456 + (1344527592020847869*α^2)/50200732067764330561536 - (14266903805707660804909*α^3)/6110822664969120167155319439360

[158 389 960] 359 -1896035443242358726657403/118626344103031066624 + (4428260371868962043891401*α)/8419894544986111341428736 + (70035857514826494115*α^2)/2459835871320452197515264 - (789578111146788920773*α^3)/872974666424160023879331348480

[30 -91 288] 359 -96263015214247755565469/16946620586147295232 + (42640755859696189754294159*α)/58939261814902779390001152 + (3163266398341384885*α^2)/351405124474350313930752 - (7791074541861422191411*α^3)/6110822664969120167155319439360

[30 -421 5920] 359 3782041301278011672639243/118626344103031066624 - (17295020012442469074136039*α)/16074344131337121651818496 - (135749131735577228467*α^2)/2459835871320452197515264 + (1000952809043836395961*α^3)/555529333179010924286847221760

[12 5 32] 359 870548951713352761761733/118626344103031066624 - (174786531148874968185019459*α)/176817785444708338170003456 - (383680393417808525*α^2)/30368344090375953055744 + (10061034825749369039069*α^3)/6110822664969120167155319439360

[32 -69 160] 359 -35918740779874514744869/2420945798021042176 + (241374935646061039491355891*α)/176817785444708338170003456 + (1344527592020847869*α^2)/50200732067764330561536 - (14266903805707660804909*α^3)/6110822664969120167155319439360

[16 69 320] 359 1595057210334072535567973/118626344103031066624 + (33956365999067194256004701*α)/176817785444708338170003456 - (19310980816153745599*α^2)/819945290440150732505088 - (1807352114830463690371*α^3)/6110822664969120167155319439360

[20 -261 3424] 359 96263015214247755565469/16946620586147295232 - (42640755859696189754294159*α)/58939261814902779390001152 - (3163266398341384885*α^2)/351405124474350313930752 + (7791074541861422191411*α^3)/6110822664969120167155319439360

[18 37 96] 359 -1709833049953081566903947/118626344103031066624 - (135279087891325513728754835*α)/176817785444708338170003456 + (60994325872114998323*α^2)/2459835871320452197515264 + (8245411553036308514189*α^3)/6110822664969120167155319439360

[22 -229 2400] 359 1896035443242358726657403/118626344103031066624 - (4428260371868962043891401*α)/8419894544986111341428736 - (70035857514826494115*α^2)/2459835871320452197515264 + (789578111146788920773*α^3)/872974666424160023879331348480

[22 -251 2880] 359 1595057210334072535567973/118626344103031066624 + (33956365999067194256004701*α)/176817785444708338170003456 - (19310980816153745599*α^2)/819945290440150732505088 - (1807352114830463690371*α^3)/6110822664969120167155319439360

[184 -553 1664] 367 7703866904935415873870873/177939516154546599936 + (48034392613550048917674737*α)/265226678167062507255005184 - (3354682005121425409*α^2)/45552516135563929583616 - (2514145989750820120943*α^3)/9166233997453680250732979159040

[92 -553 3328] 367 -1953560728152527627429743/177939516154546599936 - (2152324899103820768215447*α)/265226678167062507255005184 + (22860594029144975741*α^2)/1229917935660226098757632 + (375812097334788539017*α^3)/9166233997453680250732979159040

[376 937 2336] 367 28635308762489436226663/177939516154546599936 - (184780317803730088059345521*α)/265226678167062507255005184 + (75008777174417801*α^2)/409972645220075366252544 + (10514118404536057177583*α^3)/9166233997453680250732979159040

[46 -553 6656] 367 -299489280835513421246065/25419930879220942848 + (230009828348108111296750529*α)/265226678167062507255005184 + (3367937649296496035*α^2)/175702562237175156965376 - (13496276893627451466143*α^3)/9166233997453680250732979159040

[46 -599 7808] 367 13125318734311670262147223/177939516154546599936 - (33479117516278909036899191*α)/37889525452437501036429312 - (152998749696305017333*α^2)/1229917935660226098757632 + (1962415050270983144489*α^3)/1309461999636240035818997022720

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[296 681 1568] 367 28635308762489436226663/177939516154546599936 - (184780317803730088059345521*α)/265226678167062507255005184 + (75008777174417801*α^2)/409972645220075366252544 + (10514118404536057177583*α^3)/9166233997453680250732979159040

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[190 -1330 9312] 380 48628451500086328956625/5560609879829581248 - (1637518486950181767451649*α)/1184047670388671907388416 - (567933379356719011*α^2)/38434935489382065586176 + (18873246479907822643*α^3)/8184137497726500223868731392

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[96 -674 4736] 380 -213122881308427480394255/5560609879829581248 + (1171229800480654849846111*α)/1184047670388671907388416 + (839364148931172863*α^2)/12811645163127355195392 - (13467568152683755757*α^3)/8184137497726500223868731392

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[48 -290 1760] 380 -48628451500086328956625/5560609879829581248 + (1637518486950181767451649*α)/1184047670388671907388416 + (567933379356719011*α^2)/38434935489382065586176 - (18873246479907822643*α^3)/8184137497726500223868731392

[48 -674 9472] 380 48628451500086328956625/5560609879829581248 - (1637518486950181767451649*α)/1184047670388671907388416 - (567933379356719011*α^2)/38434935489382065586176 + (18873246479907822643*α^3)/8184137497726500223868731392

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[12 2 32] 380 48628451500086328956625/5560609879829581248 - (1637518486950181767451649*α)/1184047670388671907388416 - (567933379356719011*α^2)/38434935489382065586176 + (18873246479907822643*α^3)/8184137497726500223868731392

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[26 -79 256] 415 -11116384722908517311006285/355879032309093199872 + (1107632847200312813216608507*α)/530453356334125014510010368 + (45174529673833952509*α^2)/819945290440150732505088 - (13026913879879740194465*α^3)/3666493598981472100293191663616

[22 -49 128] 415 -8103777428027831553720595/355879032309093199872 + (143314102431105456739218419*α)/75779050904875002072858624 + (32665475903039375971*α^2)/819945290440150732505088 - (1676481141667524446473*α^3)/523784799854496014327598809088

[22 -335 5120] 415 35597105268686221498638355/355879032309093199872 - (1552969564889082480807185573*α)/530453356334125014510010368 - (414237103098230080553*α^2)/2459835871320452197515264 + (18197112579146305901119*α^3)/3666493598981472100293191663616

[212 -1061 5312] 423 309063197575641626831285/59313172051515533312 - (101949719080245793164635219*α)/88408892722354169085001728 - (360877894901733623*α^2)/45552516135563929583616 + (1206774039460709550377*α^3)/611082266496912016715531943936

[106 -955 8608] 423 -802958422182762679755211/8473310293073647616 + (35907479447674717161859939*α)/9823210302483796565000192 + (9319636296150218833*α^2)/58567520745725052321792 - (1243995657820877535883*α^3)/203694088832304005571843981312

[106 -1061 10624] 423 -339220675988724374248853/8473310293073647616 + (5309285857222349710122641*α)/4209947272493055670714368 + (3935329150625298383*α^2)/58567520745725052321792 - (21013652871597335233*α^3)/9699718515824000265325903872

[72 -219 672] 423 -670559273838728908784573/29656586025757766656 - (372480980248111549918337*α)/2104973636246527835357184 + (7849487073913882247*α^2)/204986322610037683126272 + (17741258530065029791*α^3)/72747888868680001989944279040

[54 -165 512] 423 -276642971835349918065445/8473310293073647616 + (201351064197937149185746165*α)/88408892722354169085001728 + (1089829428530226901*α^2)/19522506915241684107264 - (2342559002432084138671*α^3)/611082266496912016715531943936

[36 -219 1344] 423 -419144403326951083253933/29656586025757766656 + (12577824265180279981815337*α)/14734815453725694847500288 + (5065893053549786711*α^2)/204986322610037683126272 - (718799050612735968503*α^3)/509235222080760013929609953280

[12 27 96] 423 670559273838728908784573/29656586025757766656 + (372480980248111549918337*α)/2104973636246527835357184 - (7849487073913882247*α^2)/204986322610037683126272 - (17741258530065029791*α^3)/72747888868680001989944279040

[14 5 32] 423 -309063197575641626831285/59313172051515533312 + (101949719080245793164635219*α)/88408892722354169085001728 + (360877894901733623*α^2)/45552516135563929583616 - (1206774039460709550377*α^3)/611082266496912016715531943936

[32 -165 864] 423 -276642971835349918065445/8473310293073647616 + (201351064197937149185746165*α)/88408892722354169085001728 + (1089829428530226901*α^2)/19522506915241684107264 - (2342559002432084138671*α^3)/611082266496912016715531943936

[148 357 864] 423 9512714430364047084451995/59313172051515533312 - (155696982978518764898315551*α)/29469630907451389695000576 - (110370512001765973057*α^2)/409972645220075366252544 + (1820058942404887673677*α^3)/203694088832304005571843981312

[24 -219 2016] 423 -419144403326951083253933/29656586025757766656 + (12577824265180279981815337*α)/14734815453725694847500288 + (5065893053549786711*α^2)/204986322610037683126272 - (718799050612735968503*α^3)/509235222080760013929609953280

[48 -165 576] 423 11716441599277439561609/605236449505260544 - (45544978929125307946472485*α)/14734815453725694847500288 - (135379103676575339*α^2)/4183394338980360880128 + (2660163163768196476603*α^3)/509235222080760013929609953280

[18 27 64] 423 802958422182762679755211/8473310293073647616 - (35907479447674717161859939*α)/9823210302483796565000192 - (9319636296150218833*α^2)/58567520745725052321792 + (1243995657820877535883*α^3)/203694088832304005571843981312

[216 -649 1952] 431 -3441845349924659143397975/59313172051515533312 - (89998214390683980447854143*α)/88408892722354169085001728 + (13451901724087172327*α^2)/136657548406691788750848 + (4997233665279022371041*α^3)/3055411332484560083577659719680

[108 -649 3904] 431 751538958700103900875697/59313172051515533312 - (1836063522164568399543615*α)/9823210302483796565000192 - (942551160940490251*α^2)/45552516135563929583616 + (329357157372846273827*α^3)/1018470444161520027859219906560

[4 9 128] 431 3710087705848391502803823/59313172051515533312 - (254205228167501952601623977*α)/88408892722354169085001728 - (132008986278545668343*α^2)/1229917935660226098757632 + (5026230575006795076413*α^3)/1018470444161520027859219906560

[72 -649 5856] 431 1500994634581979506493521/59313172051515533312 - (3569740631179683407618375*α)/1804263116782738144591872 - (58793450795767828681*α^2)/1229917935660226098757632 + (214311633499704372569*α^3)/62355333316011430277095096320

[80 -247 768] 431 -3994383600921620729846137/59313172051515533312 + (144324079036567730488174703*α)/88408892722354169085001728 + (138993375608924824625*α^2)/1229917935660226098757632 - (882055885555673910889*α^3)/339490148053840009286406635520

[8 9 64] 431 3710087705848391502803823/59313172051515533312 - (254205228167501952601623977*α)/88408892722354169085001728 - (132008986278545668343*α^2)/1229917935660226098757632 + (5026230575006795076413*α^3)/1018470444161520027859219906560

[44 -311 2208] 431 982214594323658779539903/59313172051515533312 + (18161368961230673718829735*α)/88408892722354169085001728 - (34892730613198515655*α^2)/1229917935660226098757632 - (1572578790262696709881*α^3)/3055411332484560083577659719680

[10 23 96] 431 3994383600921620729846137/59313172051515533312 - (144324079036567730488174703*α)/88408892722354169085001728 - (138993375608924824625*α^2)/1229917935660226098757632 + (882055885555673910889*α^3)/339490148053840009286406635520

[36 -73 160] 431 -982214594323658779539903/59313172051515533312 - (18161368961230673718829735*α)/88408892722354169085001728 + (34892730613198515655*α^2)/1229917935660226098757632 + (1572578790262696709881*α^3)/3055411332484560083577659719680

[50 137 384] 431 -1246691023088816068384921/59313172051515533312 + (37139482493779538202082639*α)/88408892722354169085001728 + (43544206619822981201*α^2)/1229917935660226098757632 - (2215000612794541578961*α^3)/3055411332484560083577659719680

[38 -119 384] 431 685096824082923391697959/59313172051515533312 + (184224074023463075475223055*α)/88408892722354169085001728 - (24485216269833153647*α^2)/1229917935660226098757632 - (10951871724679329867281*α^3)/3055411332484560083577659719680

[38 -233 1440] 431 -490368931291456570356999/59313172051515533312 + (38444637367284038816387345*α)/88408892722354169085001728 + (20866822101405539407*α^2)/1229917935660226098757632 - (2039473094801268396239*α^3)/3055411332484560083577659719680

[30 -457 6976] 431 -3441845349924659143397975/59313172051515533312 - (89998214390683980447854143*α)/88408892722354169085001728 + (13451901724087172327*α^2)/136657548406691788750848 + (4997233665279022371041*α^3)/3055411332484560083577659719680

[24 -265 2944] 431 -685096824082923391697959/59313172051515533312 - (184224074023463075475223055*α)/88408892722354169085001728 + (24485216269833153647*α^2)/1229917935660226098757632 + (10951871724679329867281*α^3)/3055411332484560083577659719680

[18 73 320] 431 921754100884589149879839/59313172051515533312 - (269874114292223568726398201*α)/88408892722354169085001728 - (9169603981305428237*α^2)/409972645220075366252544 + (15790379358708224806759*α^3)/3055411332484560083577659719680

[22 -201 1856] 431 -490368931291456570356999/59313172051515533312 + (38444637367284038816387345*α)/88408892722354169085001728 + (20866822101405539407*α^2)/1229917935660226098757632 - (2039473094801268396239*α^3)/3055411332484560083577659719680

[22 -311 4416] 431 -1500994634581979506493521/59313172051515533312 + (3569740631179683407618375*α)/1804263116782738144591872 + (58793450795767828681*α^2)/1229917935660226098757632 - (214311633499704372569*α^3)/62355333316011430277095096320

[24 -247 2560] 431 -1246691023088816068384921/59313172051515533312 + (37139482493779538202082639*α)/88408892722354169085001728 + (43544206619822981201*α^2)/1229917935660226098757632 - (2215000612794541578961*α^3)/3055411332484560083577659719680

[58 -201 704] 431 -921754100884589149879839/59313172051515533312 + (269874114292223568726398201*α)/88408892722354169085001728 + (9169603981305428237*α^2)/409972645220075366252544 - (15790379358708224806759*α^3)/3055411332484560083577659719680

[2 4 224] 432 -1319616364753984302437/28961509790779069 + (9167879313975538408619*α)/43168404649586996623536 + (1721156108094263*α^2)/22242439519318324992 - (463996338288704773*α^3)/1491900064689726603309404160

[218 652 1952] 432 -1319616364753984302437/28961509790779069 + (9167879313975538408619*α)/43168404649586996623536 + (1721156108094263*α^2)/22242439519318324992 - (463996338288704773*α^3)/1491900064689726603309404160

[6 12 96] 432 1445248749440726653131/115846039163116276 - (9550985927395036267917*α)/19185957622038665166016 - (5266871976965099*α^2)/266909274231819899904 + (532606311912753443*α^3)/663066695417656268137512960

[78 228 672] 432 1445248749440726653131/115846039163116276 - (9550985927395036267917*α)/19185957622038665166016 - (5266871976965099*α^2)/266909274231819899904 + (532606311912753443*α^3)/663066695417656268137512960

[54 -108 224] 432 1319616364753984302437/28961509790779069 - (9167879313975538408619*α)/43168404649586996623536 - (1721156108094263*α^2)/22242439519318324992 + (463996338288704773*α^3)/1491900064689726603309404160

[54 -324 1952] 432 1319616364753984302437/28961509790779069 - (9167879313975538408619*α)/43168404649586996623536 - (1721156108094263*α^2)/22242439519318324992 + (463996338288704773*α^3)/1491900064689726603309404160

[14 4 32] 432 -1319616364753984302437/28961509790779069 + (9167879313975538408619*α)/43168404649586996623536 + (1721156108094263*α^2)/22242439519318324992 - (463996338288704773*α^3)/1491900064689726603309404160

[14 60 288] 432 -1942170256585480354375/28961509790779069 + (19443278349907527427423*α)/6166914949940999517648 + (2556646132687501*α^2)/22242439519318324992 - (1132720275424678001*α^3)/213128580669960943329914880

[54 -180 608] 432 1942170256585480354375/28961509790779069 - (19443278349907527427423*α)/6166914949940999517648 - (2556646132687501*α^2)/22242439519318324992 + (1132720275424678001*α^3)/213128580669960943329914880

[18 36 96] 432 1445248749440726653131/115846039163116276 - (9550985927395036267917*α)/19185957622038665166016 - (5266871976965099*α^2)/266909274231819899904 + (532606311912753443*α^3)/663066695417656268137512960

[42 108 288] 432 1445248749440726653131/115846039163116276 - (9550985927395036267917*α)/19185957622038665166016 - (5266871976965099*α^2)/266909274231819899904 + (532606311912753443*α^3)/663066695417656268137512960

[26 -84 288] 432 1942170256585480354375/28961509790779069 - (19443278349907527427423*α)/6166914949940999517648 - (2556646132687501*α^2)/22242439519318324992 + (1132720275424678001*α^3)/213128580669960943329914880

[26 -292 3296] 432 -1942170256585480354375/28961509790779069 + (19443278349907527427423*α)/6166914949940999517648 + (2556646132687501*α^2)/22242439519318324992 - (1132720275424678001*α^3)/213128580669960943329914880

[26 -396 6048] 432 1319616364753984302437/28961509790779069 - (9167879313975538408619*α)/43168404649586996623536 - (1721156108094263*α^2)/22242439519318324992 + (463996338288704773*α^3)/1491900064689726603309404160

[2 3 224] 439 1133882687288787151480613/50839861758441885696 - (549117490894823692394249*α)/6889004627715909279350784 - (13031848565723874815*α^2)/351405124474350313930752 + (6384651326488379563*α^3)/47616799986772364938872619008

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[110 -771 5408] 439 -26483030762517934313373059/355879032309093199872 + (1969234401898533538422196789*α)/530453356334125014510010368 + (101135966189634348755*α^2)/819945290440150732505088 - (22872009580592085049583*α^3)/3666493598981472100293191663616

[70 -221 704] 439 3137732977211006247409667/355879032309093199872 - (1318151949065483630496366517*α)/530453356334125014510010368 - (27311027480941853689*α^2)/2459835871320452197515264 + (14831836780686826934639*α^3)/3666493598981472100293191663616

[44 -221 1120] 439 3137732977211006247409667/355879032309093199872 - (1318151949065483630496366517*α)/530453356334125014510010368 - (27311027480941853689*α^2)/2459835871320452197515264 + (14831836780686826934639*α^3)/3666493598981472100293191663616

[56 157 448] 439 -2818223505434957489064179/355879032309093199872 + (283813204868593318647262675*α)/75779050904875002072858624 + (36211194564890392777*α^2)/2459835871320452197515264 - (3333370253319115669673*α^3)/523784799854496014327598809088

[14 3 32] 439 1133882687288787151480613/50839861758441885696 - (549117490894823692394249*α)/6889004627715909279350784 - (13031848565723874815*α^2)/351405124474350313930752 + (6384651326488379563*α^3)/47616799986772364938872619008

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[22 -221 2240] 439 7417445519097340075073891/355879032309093199872 + (903419914692237310742619563*α)/530453356334125014510010368 - (27279125201091419827*α^2)/819945290440150732505088 - (11046048882390862675633*α^3)/3666493598981472100293191663616

[20 29 64] 439 -26483030762517934313373059/355879032309093199872 + (1969234401898533538422196789*α)/530453356334125014510010368 + (101135966189634348755*α^2)/819945290440150732505088 - (22872009580592085049583*α^3)/3666493598981472100293191663616

[26 -61 160] 439 2818223505434957489064179/355879032309093199872 - (283813204868593318647262675*α)/75779050904875002072858624 - (36211194564890392777*α^2)/2459835871320452197515264 + (3333370253319115669673*α^3)/523784799854496014327598809088

[2 2 224] 444 58038585394384137487283/1853536626609860416 - (2753354160384900379104085*α)/2762777897573567783906304 - (700737086771975593*α^2)/12811645163127355195392 + (54450253167092644921*α^3)/31827201380047500870600622080

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[112 -338 1024] 444 14840955040256858609853/1853536626609860416 - (155311338437139234118801*α)/251161627052142525809664 - (536931303380563445*α^2)/38434935489382065586176 + (9108907638383618927*α^3)/8680145830922045691981987840

[112 -1234 13600] 444 -14840955040256858609853/1853536626609860416 + (155311338437139234118801*α)/251161627052142525809664 + (536931303380563445*α^2)/38434935489382065586176 - (9108907638383618927*α^3)/8680145830922045691981987840

[74 -222 672] 444 20852227537207747271587/1853536626609860416 - (1041201743440451386888933*α)/2762777897573567783906304 - (233488316235588985*α^2)/12811645163127355195392 + (6498759588553316867*α^3)/10609067126682500290200207360

[74 -370 1856] 444 20852227537207747271587/1853536626609860416 - (1041201743440451386888933*α)/2762777897573567783906304 - (233488316235588985*α^2)/12811645163127355195392 + (6498759588553316867*α^3)/10609067126682500290200207360

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[22 -336 5152] 448 0

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[236 -2125 19136] 471 10812442428480849902117535/118626344103031066624 - (14537602747390328403008989*α)/2296334875905303093116928 - (42457656505096813103*α^2)/273315096813383577501696 + (840291910614752597507*α^3)/79361333311287274898121031680

[118 -237 480] 471 -2203430105552566222756993/118626344103031066624 - (191135226422296149704460851*α)/58939261814902779390001152 + (25570376698791449299*α^2)/819945290440150732505088 + (3876754347235619406671*α^3)/678980296107680018572813271040

[118 -1299 14304] 471 -3433535502612192550204959/118626344103031066624 + (90007031984177908426403155*α)/58939261814902779390001152 + (35631096506720242957*α^2)/819945290440150732505088 - (5104382775739277467853*α^3)/2036940888323040055718439813120

[80 -563 3968] 471 6718197037811873785134961/118626344103031066624 + (59885122654848708412497*α)/400947359285052921020416 - (77463412542797577635*α^2)/819945290440150732505088 - (1990436567162643973*α^3)/4618913578963809650155192320

[74 211 608] 471 5913233462419488650292527/118626344103031066624 + (881514154238637376812572951*α)/176817785444708338170003456 - (67503902237090354237*α^2)/819945290440150732505088 - (52117785385576756968841*α^3)/6110822664969120167155319439360

[10 13 64] 471 -3433535502612192550204959/118626344103031066624 + (90007031984177908426403155*α)/58939261814902779390001152 + (35631096506720242957*α^2)/819945290440150732505088 - (5104382775739277467853*α^3)/2036940888323040055718439813120

[10 83 736] 471 3220511128248681043977887/118626344103031066624 - (2661013701118283009804243*α)/58939261814902779390001152 - (36761123895024538253*α^2)/819945290440150732505088 - (131279622750837581969*α^3)/678980296107680018572813271040

[40 -563 7936] 471 -3220511128248681043977887/118626344103031066624 + (2661013701118283009804243*α)/58939261814902779390001152 + (36761123895024538253*α^2)/819945290440150732505088 + (131279622750837581969*α^3)/678980296107680018572813271040

[12 51 256] 471 -11497414391171571225627505/118626344103031066624 + (130122515292772329398641021*α)/58939261814902779390001152 + (130607667285053392291*α^2)/819945290440150732505088 - (7503396129758401723747*α^3)/2036940888323040055718439813120

[30 -333 3712] 471 -11497414391171571225627505/118626344103031066624 + (130122515292772329398641021*α)/58939261814902779390001152 + (130607667285053392291*α^2)/819945290440150732505088 - (7503396129758401723747*α^3)/2036940888323040055718439813120

[24 -51 128] 471 -5913233462419488650292527/118626344103031066624 - (881514154238637376812572951*α)/176817785444708338170003456 + (67503902237090354237*α^2)/819945290440150732505088 + (52117785385576756968841*α^3)/6110822664969120167155319439360

[50 -173 608] 471 4348101740511661918737327/118626344103031066624 - (85081316349183916567858529*α)/19646420604967593130000384 - (42145607416472816573*α^2)/819945290440150732505088 + (14364402172348774679293*α^3)/2036940888323040055718439813120

[26 -371 5312] 471 6718197037811873785134961/118626344103031066624 + (59885122654848708412497*α)/400947359285052921020416 - (77463412542797577635*α^2)/819945290440150732505088 - (1990436567162643973*α^3)/4618913578963809650155192320

[26 -397 6080] 471 10812442428480849902117535/118626344103031066624 - (14537602747390328403008989*α)/2296334875905303093116928 - (42457656505096813103*α^2)/273315096813383577501696 + (840291910614752597507*α^3)/79361333311287274898121031680

[238 -714 2144] 476 235463046398368338719461/2780304939914790624 - (15358099578693223969016531*α)/4144166846360351675859456 - (2724122299984278559*α^2)/19217467744691032793088 + (886621817359263327149*α^3)/143222406210213753917702799360

[238 -1190 5952] 476 235463046398368338719461/2780304939914790624 - (15358099578693223969016531*α)/4144166846360351675859456 - (2724122299984278559*α^2)/19217467744691032793088 + (886621817359263327149*α^3)/143222406210213753917702799360

[4 6 128] 476 -76547369640763386917339/2780304939914790624 + (245230862885794466828711*α)/376742440578213788714496 + (935084937022053793*α^2)/19217467744691032793088 - (12915465458440292441*α^3)/13020218746383068537972981760

[120 -1082 9760] 476 76547369640763386917339/2780304939914790624 - (245230862885794466828711*α)/376742440578213788714496 - (935084937022053793*α^2)/19217467744691032793088 + (12915465458440292441*α^3)/13020218746383068537972981760

[90 262 768] 476 70296348132028328079107/2780304939914790624 - (809142559854159243499909*α)/4144166846360351675859456 - (884261162595648409*α^2)/19217467744691032793088 + (38599773904904589691*α^3)/143222406210213753917702799360

[738 1718 4000] 476 -70296348132028328079107/2780304939914790624 + (809142559854159243499909*α)/4144166846360351675859456 + (884261162595648409*α^2)/19217467744691032793088 - (38599773904904589691*α^3)/143222406210213753917702799360

[6 26 192] 476 -9779176184052357490061/397186419987827232 + (65649021519157444111741*α)/84574833599190850527744 + (112467966762597527*α^2)/2745352534955861827584 - (3354170644614359299*α^3)/2922906249188035794238832640

[90 -278 864] 476 9779176184052357490061/397186419987827232 - (65649021519157444111741*α)/84574833599190850527744 - (112467966762597527*α^2)/2745352534955861827584 + (3354170644614359299*α^3)/2922906249188035794238832640

[60 -122 256] 476 235463046398368338719461/2780304939914790624 - (15358099578693223969016531*α)/4144166846360351675859456 - (2724122299984278559*α^2)/19217467744691032793088 + (886621817359263327149*α^3)/143222406210213753917702799360

[60 -422 2976] 476 -76547369640763386917339/2780304939914790624 + (245230862885794466828711*α)/376742440578213788714496 + (935084937022053793*α^2)/19217467744691032793088 - (12915465458440292441*α^3)/13020218746383068537972981760

[60 -602 6048] 476 -235463046398368338719461/2780304939914790624 + (15358099578693223969016531*α)/4144166846360351675859456 + (2724122299984278559*α^2)/19217467744691032793088 - (886621817359263327149*α^3)/143222406210213753917702799360

[60 -902 13568] 476 76547369640763386917339/2780304939914790624 - (245230862885794466828711*α)/376742440578213788714496 - (935084937022053793*α^2)/19217467744691032793088 + (12915465458440292441*α^3)/13020218746383068537972981760

[10 22 96] 476 -9779176184052357490061/397186419987827232 + (65649021519157444111741*α)/84574833599190850527744 + (112467966762597527*α^2)/2745352534955861827584 - (3354170644614359299*α^3)/2922906249188035794238832640

[210 518 1280] 476 9779176184052357490061/397186419987827232 - (65649021519157444111741*α)/84574833599190850527744 - (112467966762597527*α^2)/2745352534955861827584 + (3354170644614359299*α^3)/2922906249188035794238832640

[10 42 224] 476 15220557698872456473827/2780304939914790624 - (2315779103472946658949349*α)/4144166846360351675859456 - (190919822213025209*α^2)/19217467744691032793088 + (137606847967154737051*α^3)/143222406210213753917702799360

[62 -198 640] 476 -15220557698872456473827/2780304939914790624 + (2315779103472946658949349*α)/4144166846360351675859456 + (190919822213025209*α^2)/19217467744691032793088 - (137606847967154737051*α^3)/143222406210213753917702799360

[40 -122 384] 476 -15220557698872456473827/2780304939914790624 + (2315779103472946658949349*α)/4144166846360351675859456 + (190919822213025209*α^2)/19217467744691032793088 - (137606847967154737051*α^3)/143222406210213753917702799360

[40 -442 4896] 476 15220557698872456473827/2780304939914790624 - (2315779103472946658949349*α)/4144166846360351675859456 - (190919822213025209*α^2)/19217467744691032793088 + (137606847967154737051*α^3)/143222406210213753917702799360

[12 26 96] 476 -9779176184052357490061/397186419987827232 + (65649021519157444111741*α)/84574833599190850527744 + (112467966762597527*α^2)/2745352534955861827584 - (3354170644614359299*α^3)/2922906249188035794238832640

[180 442 1088] 476 9779176184052357490061/397186419987827232 - (65649021519157444111741*α)/84574833599190850527744 - (112467966762597527*α^2)/2745352534955861827584 + (3354170644614359299*α^3)/2922906249188035794238832640

[34 -102 320] 476 -15220557698872456473827/2780304939914790624 + (2315779103472946658949349*α)/4144166846360351675859456 + (190919822213025209*α^2)/19217467744691032793088 - (137606847967154737051*α^3)/143222406210213753917702799360

[34 -170 864] 476 -15220557698872456473827/2780304939914790624 + (2315779103472946658949349*α)/4144166846360351675859456 + (190919822213025209*α^2)/19217467744691032793088 - (137606847967154737051*α^3)/143222406210213753917702799360

[30 -122 512] 476 47461332548395189727507/2780304939914790624 + (5976869611466711572253195*α)/4144166846360351675859456 - (516274990698151369*α^2)/19217467744691032793088 - (364480599939167042549*α^3)/143222406210213753917702799360

[30 -182 1120] 476 76547369640763386917339/2780304939914790624 - (245230862885794466828711*α)/376742440578213788714496 - (935084937022053793*α^2)/19217467744691032793088 + (12915465458440292441*α^3)/13020218746383068537972981760

[30 -362 4384] 476 -47461332548395189727507/2780304939914790624 - (5976869611466711572253195*α)/4144166846360351675859456 + (516274990698151369*α^2)/19217467744691032793088 + (364480599939167042549*α^3)/143222406210213753917702799360

[30 -422 5952] 476 -76547369640763386917339/2780304939914790624 + (245230862885794466828711*α)/376742440578213788714496 + (935084937022053793*α^2)/19217467744691032793088 - (12915465458440292441*α^3)/13020218746383068537972981760

[16 6 32] 476 -235463046398368338719461/2780304939914790624 + (15358099578693223969016531*α)/4144166846360351675859456 + (2724122299984278559*α^2)/19217467744691032793088 - (886621817359263327149*α^3)/143222406210213753917702799360

[32 -134 576] 476 47461332548395189727507/2780304939914790624 + (5976869611466711572253195*α)/4144166846360351675859456 - (516274990698151369*α^2)/19217467744691032793088 - (364480599939167042549*α^3)/143222406210213753917702799360

[32 -390 4768] 476 -47461332548395189727507/2780304939914790624 - (5976869611466711572253195*α)/4144166846360351675859456 + (516274990698151369*α^2)/19217467744691032793088 + (364480599939167042549*α^3)/143222406210213753917702799360

[18 26 64] 476 -76547369640763386917339/2780304939914790624 + (245230862885794466828711*α)/376742440578213788714496 + (935084937022053793*α^2)/19217467744691032793088 - (12915465458440292441*α^3)/13020218746383068537972981760

[30 -278 2592] 476 76547369640763386917339/2780304939914790624 - (245230862885794466828711*α)/376742440578213788714496 - (935084937022053793*α^2)/19217467744691032793088 + (12915465458440292441*α^3)/13020218746383068537972981760

[30 -458 7008] 476 235463046398368338719461/2780304939914790624 - (15358099578693223969016531*α)/4144166846360351675859456 - (2724122299984278559*α^2)/19217467744691032793088 + (886621817359263327149*α^3)/143222406210213753917702799360

[24 -122 640] 476 -15220557698872456473827/2780304939914790624 + (2315779103472946658949349*α)/4144166846360351675859456 + (190919822213025209*α^2)/19217467744691032793088 - (137606847967154737051*α^3)/143222406210213753917702799360

[24 -314 4128] 476 15220557698872456473827/2780304939914790624 - (2315779103472946658949349*α)/4144166846360351675859456 - (190919822213025209*α^2)/19217467744691032793088 + (137606847967154737051*α^3)/143222406210213753917702799360

[48 122 320] 476 70296348132028328079107/2780304939914790624 - (809142559854159243499909*α)/4144166846360351675859456 - (884261162595648409*α^2)/19217467744691032793088 + (38599773904904589691*α^3)/143222406210213753917702799360

[248 570 1312] 476 -70296348132028328079107/2780304939914790624 + (809142559854159243499909*α)/4144166846360351675859456 + (884261162595648409*α^2)/19217467744691032793088 - (38599773904904589691*α^3)/143222406210213753917702799360

[24 -58 160] 476 9779176184052357490061/397186419987827232 - (65649021519157444111741*α)/84574833599190850527744 - (112467966762597527*α^2)/2745352534955861827584 + (3354170644614359299*α^3)/2922906249188035794238832640

[24 -250 2624] 476 -9779176184052357490061/397186419987827232 + (65649021519157444111741*α)/84574833599190850527744 + (112467966762597527*α^2)/2745352534955861827584 - (3354170644614359299*α^3)/2922906249188035794238832640

[240 -1681 11776] 479 368210404600275270608609/7414146506439441664 + (7983222579112409338951601*α)/11051111590294271135625216 - (483834736555677259*α^2)/5694064516945491197952 - (474272683634907135103*α^3)/381926416560570010447207464960

[120 -1681 23552] 479 -800630475373382846225239/7414146506439441664 + (8893842992229533667027667*α)/3683703863431423711875072 + (9346454639479431877*α^2)/51246580652509420781568 - (167438666437095787967*α^3)/42436268506730001160800829440

[4 17 192] 479 -417194682798612670380809/7414146506439441664 + (3146012066692695819769895*α)/11051111590294271135625216 + (14238300925554829649*α^2)/153739741957528262344704 - (68798802247690949219*α^3)/127308805520190003482402488320

[80 -401 2016] 479 115764788597197086899305/7414146506439441664 + (2576435349687476350225939*α)/3683703863431423711875072 - (4063005541874444017*α^2)/153739741957528262344704 - (496865275981420858103*α^3)/381926416560570010447207464960

[6 49 480] 479 673077769674790374034381/7414146506439441664 - (1225445365420872728337635*α)/334882169402856701079552 - (24458312531287147637*α^2)/153739741957528262344704 + (223930192191475031623*α^3)/34720583323688182767927951360

[8 17 96] 479 -115764788597197086899305/7414146506439441664 - (2576435349687476350225939*α)/3683703863431423711875072 + (4063005541874444017*α^2)/153739741957528262344704 + (496865275981420858103*α^3)/381926416560570010447207464960

[48 -145 448] 479 326189176925927083403365/7414146506439441664 + (4565726718411892650478517*α)/11051111590294271135625216 - (12200152397215545229*α^2)/153739741957528262344704 - (87736672413340401641*α^3)/127308805520190003482402488320

[10 81 704] 479 40579718836799294169625/463384156652465104 - (27758826155203647539785*α)/10465067793839271908736 - (1446942971032440395*α^2)/9608733872345516396544 + (301451537428348499*α^3)/67813639304078481968609280

[40 -401 4032] 479 -34696671119119288314673/3707073253219720832 - (18562384103870757880318585*α)/5525555795147135567812608 + (1080814257655668841*α^2)/76869870978764131172352 + (1107860001629320464391*α^3)/190963208280285005223603732480

[54 -175 576] 479 -66343233600294209927955/3707073253219720832 - (5310694606741600160555467*α)/5525555795147135567812608 + (2285522489850411227*α^2)/76869870978764131172352 + (108582224689411154663*α^3)/63654402760095001741201244160

[12 17 64] 479 -417194682798612670380809/7414146506439441664 + (3146012066692695819769895*α)/11051111590294271135625216 + (14238300925554829649*α^2)/153739741957528262344704 - (68798802247690949219*α^3)/127308805520190003482402488320

[42 -593 8384] 479 -40579718836799294169625/463384156652465104 + (27758826155203647539785*α)/10465067793839271908736 + (1446942971032440395*α^2)/9608733872345516396544 - (301451537428348499*α^3)/67813639304078481968609280

[36 -401 4480] 479 66343233600294209927955/3707073253219720832 + (5310694606741600160555467*α)/5525555795147135567812608 - (2285522489850411227*α^2)/76869870978764131172352 - (108582224689411154663*α^3)/63654402760095001741201244160

[178 433 1056] 479 316333559876069989236995/7414146506439441664 + (2100741359398422550731665*α)/3683703863431423711875072 - (11748604401692046107*α^2)/153739741957528262344704 - (321016361960951202397*α^3)/381926416560570010447207464960

[30 -271 2464] 479 34696671119119288314673/3707073253219720832 + (18562384103870757880318585*α)/5525555795147135567812608 - (1080814257655668841*α^2)/76869870978764131172352 - (1107860001629320464391*α^3)/190963208280285005223603732480

[28 -145 768] 479 326189176925927083403365/7414146506439441664 + (4565726718411892650478517*α)/11051111590294271135625216 - (12200152397215545229*α^2)/153739741957528262344704 - (87736672413340401641*α^3)/127308805520190003482402488320

[56 145 384] 479 -64677512481752709513357/1059163786634205952 + (37147008852397701939191317*α)/11051111590294271135625216 + (2350772438245309301*α^2)/21962820279646894620672 - (2286619470174477424027*α^3)/381926416560570010447207464960

[24 -145 896] 479 64677512481752709513357/1059163786634205952 - (37147008852397701939191317*α)/11051111590294271135625216 - (2350772438245309301*α^2)/21962820279646894620672 + (2286619470174477424027*α^3)/381926416560570010447207464960

[20 81 352] 479 -87004526056850590033345/3707073253219720832 + (7341827100188231226274759*α)/5525555795147135567812608 + (3554705786828596601*α^2)/76869870978764131172352 - (439184781270985816921*α^3)/190963208280285005223603732480

[28 -401 5760] 479 -673077769674790374034381/7414146506439441664 + (1225445365420872728337635*α)/334882169402856701079552 + (24458312531287147637*α^2)/153739741957528262344704 - (223930192191475031623*α^3)/34720583323688182767927951360

[168 401 960] 479 316333559876069989236995/7414146506439441664 + (2100741359398422550731665*α)/3683703863431423711875072 - (11748604401692046107*α^2)/153739741957528262344704 - (321016361960951202397*α^3)/381926416560570010447207464960

[24 -367 5632] 479 -368210404600275270608609/7414146506439441664 - (7983222579112409338951601*α)/11051111590294271135625216 + (483834736555677259*α^2)/5694064516945491197952 + (474272683634907135103*α^3)/381926416560570010447207464960

[60 -209 736] 479 87004526056850590033345/3707073253219720832 - (7341827100188231226274759*α)/5525555795147135567812608 - (3554705786828596601*α^2)/76869870978764131172352 + (439184781270985816921*α^3)/190963208280285005223603732480

[244 -1221 6112] 487 -52182501052238479015618433/355879032309093199872 + (2626904977231952981037575527*α)/530453356334125014510010368 + (605391205391549135315*α^2)/2459835871320452197515264 - (156534325579922905913401*α^3)/18332467994907360501465958318080

[4 5 128] 487 4233371320352126555391665/355879032309093199872 + (2647607857949454216452413385*α)/530453356334125014510010368 - (17496473765415505697*α^2)/819945290440150732505088 - (154092145544978288459159*α^3)/18332467994907360501465958318080

[122 -1221 12224] 487 -40462783301616890542903937/355879032309093199872 + (1050097970784645683427414631*α)/530453356334125014510010368 + (477762812421505709779*α^2)/2459835871320452197515264 - (58260616964196272675641*α^3)/18332467994907360501465958318080

[62 -933 14048] 487 -4233371320352126555391665/355879032309093199872 - (2647607857949454216452413385*α)/530453356334125014510010368 + (17496473765415505697*α^2)/819945290440150732505088 + (154092145544978288459159*α^3)/18332467994907360501465958318080

[16 5 32] 487 52182501052238479015618433/355879032309093199872 - (2626904977231952981037575527*α)/530453356334125014510010368 - (605391205391549135315*α^2)/2459835871320452197515264 + (156534325579922905913401*α^3)/18332467994907360501465958318080

[248 -745 2240] 495 7445601987862823234202195/118626344103031066624 - (210024817441208664953231461*α)/176817785444708338170003456 - (28581869724189475747*α^2)/273315096813383577501696 + (2519634355292586008959*α^3)/1222164532993824033431063887872

[124 -745 4480] 495 18321239145419002810025555/118626344103031066624 - (234598851262572490163014007*α)/58939261814902779390001152 - (214482376568387277545*α^2)/819945290440150732505088 + (905182430637285497671*α^3)/135796059221536003714562654208

[504 1257 3136] 495 12064265716641664712292205/118626344103031066624 - (204979265580633879359512393*α)/58939261814902779390001152 - (139447438448414883415*α^2)/819945290440150732505088 + (799091894540771536249*α^3)/135796059221536003714562654208

[6 9 96] 495 -715284863837615036566315/7414146506439441664 + (2862788853062750625185*α)/355879032309093199872 + (8473609878985561393*α^2)/51246580652509420781568 - (3697970277513307*α^3)/273315096813383577501696

[62 -311 1568] 495 224843360722227982185805/2420945798021042176 + (37631152300545775781022883*α)/25259683634958334024286208 - (95491804941342293*α^2)/619762124293386797056 - (431479985393905266457*α^3)/174594933284832004775866269696

[52 -681 8928] 495 614483358522105235958915/118626344103031066624 + (85890215658667087961520793*α)/58939261814902779390001152 - (10378397839904006009*α^2)/819945290440150732505088 - (335430301368361142473*α^3)/135796059221536003714562654208

[42 -87 192] 495 -280468055057935020379675/7414146506439441664 + (848074684248902785265*α)/355879032309093199872 + (3254435845932221953*α^2)/51246580652509420781568 - (10049841515682595*α^3)/2459835871320452197515264

[42 -297 2112] 495 280468055057935020379675/7414146506439441664 - (848074684248902785265*α)/355879032309093199872 - (3254435845932221953*α^2)/51246580652509420781568 + (10049841515682595*α^3)/2459835871320452197515264

[36 -471 6176] 495 -8869173067700965445938755/118626344103031066624 + (58114962808082441428198271*α)/16074344131337121651818496 + (34615593973153281427*α^2)/273315096813383577501696 - (683924341973412652397*α^3)/111105866635802184857369444352

[56 151 416] 495 -12732602177049419447802525/118626344103031066624 + (304616694490992835378193579*α)/176817785444708338170003456 + (5720177516443117093*α^2)/30368344090375953055744 - (3561263591730505422257*α^3)/1222164532993824033431063887872

[16 23 64] 495 -12064265716641664712292205/118626344103031066624 + (204979265580633879359512393*α)/58939261814902779390001152 + (139447438448414883415*α^2)/819945290440150732505088 - (799091894540771536249*α^3)/135796059221536003714562654208

[28 -87 288] 495 2282599393891362435820845/118626344103031066624 - (59762145481307467118481411*α)/19646420604967593130000384 - (27445393478245680023*α^2)/819945290440150732505088 + (2210562428722210611883*α^3)/407388177664608011143687962624

[142 343 832] 495 18860963332090568788717395/118626344103031066624 - (139137814851584527937607287*α)/58939261814902779390001152 - (220297028853739737577*α^2)/819945290440150732505088 + (175410592157171975533*α^3)/45265353073845334571520884736

[18 9 32] 495 -7445601987862823234202195/118626344103031066624 + (210024817441208664953231461*α)/176817785444708338170003456 + (28581869724189475747*α^2)/273315096813383577501696 - (2519634355292586008959*α^3)/1222164532993824033431063887872

[26 -265 2720] 495 -12732602177049419447802525/118626344103031066624 + (304616694490992835378193579*α)/176817785444708338170003456 + (5720177516443117093*α^2)/30368344090375953055744 - (3561263591730505422257*α^3)/1222164532993824033431063887872

[26 -343 4544] 495 -8869173067700965445938755/118626344103031066624 + (58114962808082441428198271*α)/16074344131337121651818496 + (34615593973153281427*α^2)/273315096813383577501696 - (683924341973412652397*α^3)/111105866635802184857369444352

[28 -151 832] 495 -614483358522105235958915/118626344103031066624 - (85890215658667087961520793*α)/58939261814902779390001152 + (10378397839904006009*α^2)/819945290440150732505088 + (335430301368361142473*α^3)/135796059221536003714562654208

[24 -105 480] 495 708463565901568216088635/7414146506439441664 + (194894941939494624025*α)/50839861758441885696 - (8206032395275969633*α^2)/51246580652509420781568 - (2316844107192347*α^3)/351405124474350313930752

[2 4 256] 496 -425081816597317507/22329614333677 + (4356415012384620065*α)/33283272667376250288 + (15384359076211*α^2)/463026882823126272 - (62081913014395*α^3)/230053980676904641990656

[250 748 2240] 496 -425081816597317507/22329614333677 + (4356415012384620065*α)/33283272667376250288 + (15384359076211*α^2)/463026882823126272 - (62081913014395*α^3)/230053980676904641990656

[4 4 128] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[124 -372 1120] 496 1846684616296433323/22329614333677 - (3097802648444387509*α)/1584917746065535728 - (64347714260251*α^2)/463026882823126272 + (106397992228421*α^3)/32864854382414948855808

[124 -620 3104] 496 1846684616296433323/22329614333677 - (3097802648444387509*α)/1584917746065535728 - (64347714260251*α^2)/463026882823126272 + (106397992228421*α^3)/32864854382414948855808

[124 -868 6080] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[62 -124 256] 496 425081816597317507/22329614333677 - (4356415012384620065*α)/33283272667376250288 - (15384359076211*α^2)/463026882823126272 + (62081913014395*α^3)/230053980676904641990656

[62 -372 2240] 496 425081816597317507/22329614333677 - (4356415012384620065*α)/33283272667376250288 - (15384359076211*α^2)/463026882823126272 + (62081913014395*α^3)/230053980676904641990656

[8 4 64] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[64 -196 608] 496 2068400173908739897/22329614333677 - (88461709870182078707*α)/33283272667376250288 - (73134998024201*α^2)/463026882823126272 + (342450657836939*α^3)/76684660225634880663552

[64 -452 3200] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[64 -708 7840] 496 -2068400173908739897/22329614333677 + (88461709870182078707*α)/33283272667376250288 + (73134998024201*α^2)/463026882823126272 - (342450657836939*α^3)/76684660225634880663552

[10 12 64] 496 -1846684616296433323/22329614333677 + (3097802648444387509*α)/1584917746065535728 + (64347714260251*α^2)/463026882823126272 - (106397992228421*α^3)/32864854382414948855808

[50 -252 1280] 496 2068400173908739897/22329614333677 - (88461709870182078707*α)/33283272667376250288 - (73134998024201*α^2)/463026882823126272 + (342450657836939*α^3)/76684660225634880663552

[50 -452 4096] 496 1846684616296433323/22329614333677 - (3097802648444387509*α)/1584917746065535728 - (64347714260251*α^2)/463026882823126272 + (106397992228421*α^3)/32864854382414948855808

[50 -652 8512] 496 -2068400173908739897/22329614333677 + (88461709870182078707*α)/33283272667376250288 + (73134998024201*α^2)/463026882823126272 - (342450657836939*α^3)/76684660225634880663552

[14 20 64] 496 -1846684616296433323/22329614333677 + (3097802648444387509*α)/1584917746065535728 + (64347714260251*α^2)/463026882823126272 - (106397992228421*α^3)/32864854382414948855808

[38 -196 1024] 496 2068400173908739897/22329614333677 - (88461709870182078707*α)/33283272667376250288 - (73134998024201*α^2)/463026882823126272 + (342450657836939*α^3)/76684660225634880663552

[38 -348 3200] 496 1846684616296433323/22329614333677 - (3097802648444387509*α)/1584917746065535728 - (64347714260251*α^2)/463026882823126272 + (106397992228421*α^3)/32864854382414948855808

[38 -500 6592] 496 -2068400173908739897/22329614333677 + (88461709870182078707*α)/33283272667376250288 + (73134998024201*α^2)/463026882823126272 - (342450657836939*α^3)/76684660225634880663552

[16 4 32] 496 -425081816597317507/22329614333677 + (4356415012384620065*α)/33283272667376250288 + (15384359076211*α^2)/463026882823126272 - (62081913014395*α^3)/230053980676904641990656

[32 -68 160] 496 1846684616296433323/22329614333677 - (3097802648444387509*α)/1584917746065535728 - (64347714260251*α^2)/463026882823126272 + (106397992228421*α^3)/32864854382414948855808

[32 -196 1216] 496 736587748163547694594/86884529372337207 - (64156487133013827903031*α)/64752606974380494935304 - (4428377222642003*α^2)/300272933510797387392 + (3662271504608889001*α^3)/2237850097034589904964106240

[32 -324 3296] 496 -1846684616296433323/22329614333677 + (3097802648444387509*α)/1584917746065535728 + (64347714260251*α^2)/463026882823126272 - (106397992228421*α^3)/32864854382414948855808

[32 -452 6400] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[16 68 320] 496 -1932543040184123156770/86884529372337207 - (1745142126396758568377*α)/64752606974380494935304 + (11104809413918531*α^2)/300272933510797387392 - (163927862035407961*α^3)/2237850097034589904964106240

[56 -188 640] 496 1932543040184123156770/86884529372337207 + (1745142126396758568377*α)/64752606974380494935304 - (11104809413918531*α^2)/300272933510797387392 + (163927862035407961*α^3)/2237850097034589904964106240

[20 28 64] 496 -736587748163547694594/86884529372337207 + (64156487133013827903031*α)/64752606974380494935304 + (4428377222642003*α^2)/300272933510797387392 - (3662271504608889001*α^3)/2237850097034589904964106240

[28 -92 320] 496 1932543040184123156770/86884529372337207 + (1745142126396758568377*α)/64752606974380494935304 - (11104809413918531*α^2)/300272933510797387392 + (163927862035407961*α^3)/2237850097034589904964106240

[28 -148 800] 496 2068400173908739897/22329614333677 - (88461709870182078707*α)/33283272667376250288 - (73134998024201*α^2)/463026882823126272 + (342450657836939*α^3)/76684660225634880663552

[28 -260 2432] 496 736587748163547694594/86884529372337207 - (64156487133013827903031*α)/64752606974380494935304 - (4428377222642003*α^2)/300272933510797387392 + (3662271504608889001*α^3)/2237850097034589904964106240

[28 -316 3584] 496 -1932543040184123156770/86884529372337207 - (1745142126396758568377*α)/64752606974380494935304 + (11104809413918531*α^2)/300272933510797387392 - (163927862035407961*α^3)/2237850097034589904964106240

[28 -372 4960] 496 -2068400173908739897/22329614333677 + (88461709870182078707*α)/33283272667376250288 + (73134998024201*α^2)/463026882823126272 - (342450657836939*α^3)/76684660225634880663552

[28 -428 6560] 496 425081816597317507/22329614333677 - (4356415012384620065*α)/33283272667376250288 - (15384359076211*α^2)/463026882823126272 + (62081913014395*α^3)/230053980676904641990656

A nonlift newform in S11(K(16))−

A nonlift newform in S₁₁(K(16))⁻