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

A nonlift newform in S₁₃(K(16))⁻

(Filename: eigs/eig-minus-13-16-2.html)

FORMULA FOR THE EIGENFORM f
with 3¹³⁻³λ₃ = -72*(333 + 80*α),
where throughout this wepage, α is taken to have minimal polynomial -609 + x^2

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=1¹² b_i Grit(φ_i) + Σ_i=0⁴⁵ c_1,i T(3)ⁱ g₁ + Σ_i=0⁴⁵ c_3,i T(3)ⁱ g₃ + Σ_i=0⁴⁵ c_4,i T(3)ⁱ g₄
where g₁, g₃, g₄ are the Borcherds products that helped span the space S₁₃(K(16))⁻ and where φ_i are jacobi forms in J_13,16^cusp given by the following table.

φ₁	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3)\|W₂
φ₂	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,6)\|W₃
φ₃	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4)\|W₃
φ₄	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3)\|W₃
φ₅	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3)\|W₃
φ₆	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,10)\|W₅
φ₇	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,5,9)\|W₅
φ₈	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,5,6,7)\|W₅
φ₉	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,5,5,6)\|W₅
φ₁₀	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,7,7)\|W₅
φ₁₁	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,5,5)\|W₅
φ₁₂	TB(13;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,9)\|W₅

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

b₁	366586795574667893084017337517395577341472250722917582212091629328235590879798609770766435430464289137790588096597919637599767287563292114163546582376668551078263542221558547305231957690255925553820245390450365619044265033266167597604084768603909789069682879423183241/2218788391551689227494625036547184533956602337887266040411002307173824218215623827560972479477650302736039817610378459882002640100939061545453905388794477824944311832561966210804166100178198212698086706247233700847989654247448147260761702400000000 - (953914235788528725688945003412382755801621915174669168902212216172525524072970367993340490500335313217816206384315191442451807968778228454382844773214453582914685783875986431280774209377479349701041106132585606452431714185973614648855506089199350585985419414228261439*α)/193034590064996962792032378179605054454224403396192145515757200724122706984759272997804605714555576338035464132102926009734229688781698354454489768825119570770155129432891060339962450715503244504733543443509331973775099919527988811686268108800000000
b₂	-397770602785514957120013344387273574267709292118143587794404483986175992680782457932257971854697784660252914392406457732487339760978130851861466125552497004137414827045572289903684804617992540883641492020238725719045939314020918064020169561720146785206494533466264307/14976821642973902285588718996693495604207065780739045772774265573423313472955460836036564236474139543468268768870054604203517820681338665431813861374362725318374104869793271922928121176202837935712085267168827480723930166170274994010141491200000000 + (1035105332213774991784101392510481220735183907032828273543198245915386270116160529433361794305417633187720873926868900385857870242955393003665904157938019278587691600785470121436085176526334948508556538839007374456453852518925886702761940778189921778667203077742006053*α)/1302983482938729498846218552712334117566014722924296982231361104887828272147125092735181088573250140281739382891694750565706050399276463892567805939569557102698547123672014657294746542329646900406951418243687990822981924456813924478882309734400000000
b₃	-1420848654129443230914377484271647165128317959489154557846914311999324466948706136323395633807486234790544165260769694384898315049635140369808732654465260378214794133051836574954459518676619716768337592142776667634897441207864279985199547096110451598735245756141944601/49922738809913007618629063322311652014023552602463485909247551911411044909851536120121880788247131811560895896233515347345059402271128884772712871247875751061247016232644239743093737254009459785706950890562758269079767220567583313367138304000000000 + (42499041394367956904440751094616614546977709897537060049889356632009336819798766749920539997614213754190718039732017694348445077039596825785287504366805666582950718552150849363940116632615890881444029756016969486902659268155306091956212101564933199388533343626602217*α)/49922738809913007618629063322311652014023552602463485909247551911411044909851536120121880788247131811560895896233515347345059402271128884772712871247875751061247016232644239743093737254009459785706950890562758269079767220567583313367138304000000000
b₄	-2303427019245477855845144254166439721162539029160350899130609087470243169531307562384731004702077725841777145659317512549623825096084386946320125064822511455887751662675631921471485045837141312257003233785110333072406431546684163484811857139790195791138547898105617967/37442054107434755713971797491733739010517664451847614431935663933558283682388652090091410591185348858670671922175136510508794551703346663579534653435906813295935262174483179807320302940507094839280213167922068701809825415425687485025353728000000000 + (5993895906845266196070283369542118167420613618282085804090093554031441539297514088325580089440324046179865967014166342316282700528554175475643382654714857340117714155772258224944215350379879995033419581384569873073860085845205000127423694622410744784641313375338549193*α)/3257458707346823747115546381780835293915036807310742455578402762219570680367812731837952721433125350704348457229236876414265125998191159731419514848923892756746367809180036643236866355824117251017378545609219977057454811142034811197205774336000000000
b₅	-7987089028870296138672913536431763706053326554509171770350775437022013861700810838911507307784908827068879340187081908518402719123882768691645883684443199837852311762073291220027706597332634862022277022161307573169459046723439433184456371382176132267639723357449264549/59907286571895609142354875986773982416828263122956183091097062293693253891821843344146256945896558173873075075480218416814071282725354661727255445497450901273496419479173087691712484704811351742848341068675309922895720664681099976040565964800000000 + (20783121750143597756544445574477788860834092862285494483687952233410315798145704156268105526357616399987317080592716136410950279011536084274074230746345790913900669332572058281171523074461708806094879427659854125687010916702283281789512459426022990390483296699985139971*α)/5211933931754917995384874210849336470264058891697187928925444419551313088588500370940724354293000561126957531566779002262824201597105855570271223758278228410794188494688058629178986169318587601627805672974751963291927697827255697915529238937600000000
b₆	336229221049505031509158917828315703940165148974151096628338267259139001278254548345629240006997854581422124440454163403754356613103519047354423090439832443216935163868952227175500544501552536388300031498868258150284581961666952629441844180136790036119289712526640527/19810610638854368102630580683457004767469663731136303932241092028337716234068069888937254281050449131571784085806950534660737858044098763798695583828522123437002784219303269739322911608733912613375774162921729471857050484352215600542515200000000000 - (874895828801118238679775729857271506468587376472735906158445222040707537374957899450936712257501813044259098444045369593299610497565796624333860318493518823421939963485190245871260166313873936955757102410024173121638913567790682948710296449985186548000780218182595433*α)/1723523125580330024928860519460759414769860744608858442104975006465381312363922080337541122451389074446745215465204696515484193649836592450486515793081424739019242227079384467321093309959850397363692352174190464051563392138642757247198822400000000000
b₇	3360273756257099940704898580043808639645428468659110248196648187659069932117957577104185914206420957799005204677925863944521200795190226628868827420137812332904066181065728448253564551709605673576209388374059249412362235085587764789625365309266622920009295706717839/4160228234159417301552421943525971001168629383538623825770629325950920409154294676676823399020594317630074658019459612278754950189260740397726072603989645921770584686053686645257811437834121648808912574213563189089980601713965276113928192000000000 - (8743271407580099550177352618249673787632645178896048254328451185220496759645699613769211197218673933252577285340040504130569764479115410528663978500309374923366332884454111118978543038104349308540431544105907652075280138919420593682538124937295909808298137025675881*α)/361939856371869305235060709086759477101670756367860272842044751357730075596423636870883635714791705633816495247692986268251680666465684414602168316547099195194040867686670738137429595091568583446375393956579997450828312349114979021911752704000000000
b₈	3967038280565084671130895275877840065111142764345975990778002143784303118563755414471121497429232821141777282188787727509609402000966989821892058857137482529694763549447916078681137819615190732763139174035521074291134334882275086808034020770780954948860782901487894969/166409129366376692062096877741038840046745175341544953030825173038036816366171787067072935960823772705202986320778384491150198007570429615909042904159585836870823387442147465810312457513364865952356502968542527563599224068558611044557127680000000000 - (10322483421901259585845223054482129795957899473192402788542096020647549140827902347828870077916629853404013759709742701041610016515492909637919827171776888585501418671991980992331893561377257027091306328521366859360368870746642583129831631307258827951217583947041291151*α)/14477594254874772209402428363470379084066830254714410913681790054309203023856945474835345428591668225352659809907719450730067226658627376584086732661883967807761634707466829525497183803662743337855015758263199898033132493964599160876470108160000000000
b₉	1612621066573926641910836321477858665714488310241832604354934552243329255583098252602856285733227725013394595144900855342802972318347055288464151031728280383134760719855849290064446167449083280935627560990362111956533240416535143021833758331018367848416056859904658091/69337137235990288359207032392099516686143823058977063762843822099182006819238244611280389983676571960501244300324326871312582503154345673295434543399827432029509744767561444087630190630568694146815209570226053151499676695232754601898803200000000000 - (4196164632752132155701917763250376225772651297853602000553241284224528037326851268633670609500838906419228583948622496274733997372447274509627051278191683878954481678770427728594805192128424996006180926509067983241348076578923182332885372467040642538523850314500364589*α)/6032330939531155087251011818112657951694512606131004547367412522628834593273727281181393928579861760563608254128216437804194677774428073576702805275784986586567347794777845635623826584859476390772923232609666624180471872485249650365195878400000000000
b₁₀	136336837884061387855594884189360959539037784785659635381731162556803310633412761281154009114364010458689985903264780488004005194247816161680272005719609602196595016681200616407472087092377709668067625997002295544477223972222462662351380056761386231036163893844014909/13000713231748179067351318573518659378651966823558199455533216643596626278607170864615073121939357242593983306310811288371109219341439813742893976887467643505533077143917770766430660743231630152527851794417384965906189380356141487856025600000000000 - (354763777466415575642148612418794381776850213490928490788199492713448795159009632929110180729533490098577881840737709006429396217808583182086194941477651983548698320531904094889744321848122702734547268782623656762661310820061663780381730685416404369168159160131002411*α)/1131062051162091578859564715896123365942721113649563352631389847992906486238823865221511361608724080105676547649040582088286502082705263795631775989209684984981377711520846056679467484661151823269923106114312492033838476090984309443474227200000000000
b₁₁	42247914565506169333590742826450605669476961114545493910972252872917582243760002093828906621130493101063760867490296543249755114272624123632778110051774636261008201962336228892740173525809071273954403379468449857057073005899325999323348741467132831100439841980781013/13867427447198057671841406478419903337228764611795412752568764419836401363847648922256077996735314392100248860064865374262516500630869134659086908679965486405901948953512288817526038126113738829363041914045210630299935339046550920379760640000000000 - (12214238229242105494150117206450629506492791998828054218068427929037494545284576884574241339239171879823151439990386611055540837356691249468558346990936887867280330650188476137761867526400610872442982381900150128780148094916974051498515736266195075991624270480775803*α)/134051798656247890827800262624725732259878057914022323274831389391751879850527272915142087301774705790302405647293698617870992839431734968371173450572999701923718839883952125236085035219099475350509405169103702759566041610783325563671019520000000000
b₁₂	5800172033571928241905796124049390808470315789547783417873021754188739540179384968701191712934676833508170224365967761204784604647360979942738794859080565363788420330758450694075756652987995754151746338336386485039027934497295683483783478708838882872563440101758662401/832045646831883460310484388705194200233725876707724765154125865190184081830858935335364679804118863526014931603891922455750990037852148079545214520797929184354116937210737329051562287566824329761782514842712637817996120342793055222785638400000000000 - (520432910338975313257647682916017145942419462162950435329622388338761424149953406922064863047384907242483792966235196120141130584440008809416580964594774532402180322610359182937859752125174591639962626739114394077368875544600773001318583699301772629412052354822014451*α)/2496136940495650380931453166115582600701177630123174295462377595570552245492576806006094039412356590578044794811675767367252970113556444238635643562393787553062350811632211987154686862700472989285347544528137913453988361028379165668356915200000000000
c_1,0	0
c_1,1	-1534945992458163271674022357775646110907011319284295846045556046406562827724956031429479787502699479605100884251566173970992117906843320081931140093774465625/4009685328062856760042756970136976275669567518639342733591701667880858374226855581031049962105309580745651251147470310975402332115937399162328139554579417088 + (2369129274496367298114564697767067105172316142749089194639650989990597838012248484364853540284960999078281803028265098755749665708340362822599385056136553125*α)/116280874513822846041239952133972311994417458040540939274159348368544892852578811849900448901053977841623886283276639018286667631362184575707516047082803095552
c_1,2	328749759776491575967749263195827812042920178793777592334441565696192111130511797525075095633477407351173233429961413659197709790148670048939110584400152540685325/100594985510440950395952686866796460803998109907623830500348611443794974892603352816906981449298006761746898588787735161750893708124637470184488365145288415903744 - (521442474643706217928911982517379182248676457349379400852318996022064870445858009134447181806351803463781357869618558397145703944490851491181597448185450210065225*α)/2917254579802787561482627919137097363315945187321091084510109731870054271885497231690302462029642196090660059074844319690775917535614486635350162589213364061208576
c_1,3	-1774582168883894029282093389054319205131326843028226252646725434936857504021656451295314126737580497024168303714773766343275693764852648219688156640195102887920803/265487796811060652591380286988658700678592949859295882557621077624860964665015034238434920113611234340280474626078971148538441126596981364610608468837049839910912 + (3073229021253669196329070118281017176938110123953773540238982791520643574596398173288568979127350278794913614040714336585518766619590623720934344028146474089683879*α)/7699146107520758925150028322671102319679195545919580594171011251120967975285435992914612683294725795868133764156290163307614792671312459573707645596274445357416448
c_1,4	-6438131562200230300633769443197024100864544372052567078041603446189362821258501380603275712616313004814527400739892828836606304760482119548408248473739472495453150828247/626296332189164521889169752217725421248827912436073358788730426960152010083357066369837513944813446258095250861905336098248124155287342918371009802325354054343437844480 + (8025857408600656810406648308546293260997446965080159893689683459428469496561451458951745123491411475861505825037257506611409718951505965956758207234151270378029604397771*α)/18162593633485771134785922814314037216216009460646127404873182381844408292417354924725287904399589941484762274995254746849195600503332944632759284267435267575959697489920
c_1,5	834887010610314370457645481492089468963466022069978743382010690191722231147615897103563223798203759115681532797462333908258510278070056536749201440351822955266840521351994703/20041482630053264700453432070967213479962493197954347481239373662724864322667426123834800446234030280259048027580970755143939972969194973387872313674411329738990011023360000 - (1333741139459051999327228192132340007578309969479931017626700649499195838138213331239332256784813127637658692903641269191542982776970911711596688582459842542148782421744516579*α)/581202996271544676313149530058049190918912302740676076955941836219021065357355357591209212940786878127512392799848151899174259216106654228248297096557928562430710319677440000
c_1,6	-291484248106041374984645273109035484488783626061801656340305981728734564326969166996048676052055274391267550601230466596719420952462231256656946637288230110178691217083432204647/32066372208085223520725491313547541567939989116726955969982997860359782916267881798135680713974448448414476844129553208230303956750711957420595701879058127582384017637376000000 + (971919525726890364178573842429271148668302427514850719509092834537116768132778863769261483897417784047720593797868537271877013024676209376958452535254731670418783968961961362971*α)/929924794034471482101039248092878705470259684385081723129506937950433704571768572145934740705259005004019828479757043038678814745770646765197275354492685699889136511483904000000
c_1,7	-2955231504231982134532282914310721498332955030931182361723135326256081995720352935710439621719996853771429374695323173460734466522382776191697390750292901426076816070273934836021/54006521613617218561221880107027438430214718512382241633655575343763844911609064081070620149851702649961224158533984350703669821895935928287319076848940004349278345494528000000 + (3952080368682262758123440602912382637872235147494958504153617484026690156179500177487754141563589346942167952021021823683995161136042928976616470339938678620878523759953372054353*α)/1566189126794899338275434523103795714476226836859085007376011684969151502436662858351047984345699376848875500597485546170406424834982141920332253228619260126129072019341312000000
c_1,8	29444435887537871921289569113068902571800760256333171978385015912535818638065327331974985332345272766158876773618499217352283002529389814769149880842154726109187943657032365716135729/1641798257053963444261145155253634128278527442776420145663129490450420885312915548064546852555491760558821214419433124261391562585636452219934499936207776132218061703033651200000000 - (1410465525787439211503040780025124819277519904001693535207091492073214112805297855431504824148674720647761599387987455623322492782765189417867246689541731580581775671337535075294253*α)/971676519480917140481085908211334484083210119194207841310831739246167462736215324364731810696107368493996228942113481705721537040478716619961234656122969547639261007917875200000000
c_1,9	148934509379749755020294415883554012046962189771758747559562946748753470586795052230596573860419471020922011706359521548526679699748158233055743897899087799204994169885408211182809211/4288779120467496344192379181070717722850030870926158747854705607707221904490881431678816267900060109214879907054845712356288163489009507839828897792542762141304324448740966400000000 - (8407955377086191016907843026820504795947807740537353107587196620912294754112591846749958368489541282931021426826972072292661316874427987960536493060467080783219397321032801972362774127*α)/6094355130184312305097370816301489884169893867586071580701536668551962326281542514415597916685985415194344347924935757258285480317882510640396863763203265002793445041660913254400000000
c_1,10	-89302849603631896137118217724217363488290963885036813959771199017281492912303287374548730268865166271716318873766921889933060226899859545009330186315392008057474433136437262497618890209/9606865229847191810990929365598407699184069150874595595194540561264177066059574406960548440096134644641330991802854395678085486215381297561216731055295787196521686765179764736000000000 + (1368351258405152169281146791314577147649866114383155593593592555905911285948646858368015359396511575552558854305606521005622377210531050558273008433058175999562822842940364317160990999259*α)/1950193641658979937631158661216476762934366037627542905824491733936627944410093604612991333339515332862190191335979442322651353701722403404926996404225044800893902413331492241408000000000
c_1,11	-13449247090560677663524412309888286938446294396630205954156714365810405315472721292230836972362602522318028151221878680291047471168983291535239599686629102400062769802784456433429243362051/1075968905742885482830984088947021662308615744897954706661788542861587831398672333579581425290767080199829071081919692315945574456122705326856273878193128166010428917700133650432000000000 + (13954284147725167621992225273091352072792239392328222862005186990375616551461950770420847147105587539203059924769981788359308346883213745118737235232038892658244831260645396358482735467143*α)/31203098266543679002098538579463628206949856602040686493191867742986047110561497673807861333432245325795043061375671077162421659227558454478831942467600716814302438613303875862528000000000
c_1,12	431001400314502694645343644248126793763582766979168081334242280968979011981452407269853809421984392420706238022051819758963373179683547301656235774726564230857049653690335806186762080579/179796370672440393997866792931095003623371821601747000591003829616557757727193288117736843912817475542530184201678486444439991554025726216498176313849504445495215276064774291456000000000 - (927515433678063635245029935272635141088639764518401547524003180959743562766673268970354185354144054446008388705717934999283369277579610148058859069713731607094429710767814906345131029447*α)/5214094749500771425938136995001755105077782826450663017139111058880174974088605355414368473471706790733375341848676106888759755066746060278447113101635628919361243005878454452224000000000
c_1,13	3028762931859294430979911110698004082964404043750768184449952851426688904970545102286288114274451080316493979299482646829336830977717868336495127476995174163223023047559338920192300755783571/1101792159480714734418927707081750182204022522775505619621671467890265939352240469585491379497745490124624968787885764931528268243069650254700824451269763241994679211724936858042368000000000 - (417970706251584815789678609752960726492487110107917947504358583694562720006399351084600515477986921928640135968098556274944571456421521205770986387664399594236178663820645810681592462570929*α)/4564567517848675328306986215052965040559521880069951852718353224116816034459281945425607143633517030516303442121241026144902825578431408198046272726689019145406528162860452697604096000000000
c_1,14	-3630542213358415017491896046758257493177793358447022912526081542112595589853819834497119612110150639123495783638739722000630564111028758737443913048977501654786498729887306493061818334197523/10073528315252249000401624750461715951579634493947479950826710563568145731220484293353064041122244481139428286060669850802544166793779659471550394983037835355379924221485136987815936000000000 + (55058878959637512522000567504467090468868204062140537152277775625213616354825334198478437954687637672840664067206819294435810222402546993705692099305679859038790551762256425467946840196587873*α)/2044926247996206547081529824343728338170665802271338430017822244404333583437758311550672000347815629671303942070315979712916465859137270872724730181556680577142124616961482808526635008000000000
c_1,15	-435113179735031164891892628831785465874568828913999863486253918131700224977572601071229806298929973657780668320234867678191812396239959130376935121339704674537939888241141998587142609457653249/1128235171308251888044981972051712186576919063322117754492591583119632321896694240855543172605691381887615968038795023289884946680903321860813644238100237559802551512806335342635384832000000000 + (399431799569188245941245310651695130523792571001537011264092937831499809309794867773131026216732333173537275176032481461791330347155018168777801581953560705696152877137924656653186849160275757*α)/32718819967939304753304477189499653410730652836341414880285155910469337335004132984810752005565050074740863073125055675406663453746196333963595682904906889234273993871383724936426160128000000000
c_1,16	491847325386370974658898473387450615932092419185978659490563463497873369755216812665081325302707557003943671392590156735992470666639873634830851501154976729986081246123329011308880354225371163/14441410192745624166975769242261915988184564010523107257505172263931293720277686282950952609352849688161484390896576298110527317515562519818414646247683040765472659363921092385732925849600000000 - (1083206741578354273600947676561945917801172571205371747663018473053512654998489330689395297981434327517654053002916395331849692106775658364117107408090559839222231238143596014752403470995431359*α)/418800895589623100842297308025595563657352356305170110467649995654007517888052902205577625671232640956683047336000712645205292207951313074734024741182808182198707121553711679186254849638400000000
c_1,17	20445051576023912653236060380908243716985325066475655452657897862608301015783053224883814915479602411639190867908856191495980254933635159154741862883539498348327193489590125249449776273904393409/577656407709824966679030769690476639527382560420924290300206890557251748811107451318038104374113987526459375635863051924421092700622500792736585849907321630618906374556843695429317033984000000000 - (18043527459136021037074463481020449142597085675548430261678338476342574206411473467590299946641126761124812641953517375496700535465052263219573744619561371050751068898498381455036074484266534637*α)/16752035823584924033691892321023822546294094252206804418705999826160300715522116088223105026849305638267321893440028505808211688318052522989360989647312327287948284862148467167450193985536000000000
c_1,18	-9836260368471003970923416743115541320462791705888671113128956787276174239089932436538811783715236572082564759371309539280083070544259042095327003636364897815606808839952120852339403703212845217/4621251261678599733432246157523813116219060483367394322401655124458013990488859610544304834992911900211675005086904415395368741604980006341892686799258573044951250996454749563434536271872000000000 + (21860005672763044343575275265458873027923378891938422190549199240782857040647358823168972995554781527273517290465246571950708280989500003858823772194378140027604208510275353809712365863891483981*α)/134016286588679392269535138568190580370352754017654435349647998609282405724176928705784840214794445106138575147520228046465693506544420183914887917178498618303586278897187737339601551884288000000000
c_1,19	-79523961566572763150254656974271781816595959136063042213990055953485095725964019459262104295967655558906523000906500423635973283593547187416448940990266243892506928858027597378715400612169221303/36970010093428797867457969260190504929752483866939154579213240995664111923910876884354438679943295201693400040695235323162949932839840050735141494394068584359610007971637996507476290174976000000000 + (67922548459063100607413177686790427416051541643133579317047340666504695548852750357802120072036808109334147029408307374417466591881292179207724569084999046187386435812134466825254583094165230379*α)/1072130292709435138156281108545524642962822032141235482797183988874259245793415429646278721718355560849108601180161824371725548052355361471319103337427988946428690231177501898716812415074304000000000
c_1,20	27135339516492079434967215643401527471871040559847228390611589290434742754710596660987077320436451345539277204537585794432479012533719080625716750496797947258804511905327932763217851581470119443/295760080747430382939663754081524039438019870935513236633705927965312895391287015074835509439546361613547200325561882585303599462718720405881131955152548674876880063773103972059810321399808000000000 - (59006837028975089312302506966273409548009476485221770827821201573064003969615590424511862167001960587504774775876462274130233916884924870851231494794918370720927979420566553321936521606109453399*α)/8577042341675481105250248868364197143702576257129883862377471910994073966347323437170229773746844486792868809441294594973804384418842891770552826699423911571429521849420015189734499320594432000000000
c_1,21	10790039993652490551878899446130628478031155790842034776874590953709185733509813565473331847435630775675572784255730085256670737141586687589436649376891977263687829853999696265692452084839280759/124530560314707529658805791192220648184429419341268731214191969669605429638436637926246530290335310153072505400236582141180462931671040170897318717958967863106054763693938514551499082694656000000000 - (8962083069823968185497567862933263923969174875359651679285106474824946969769997784639774195177454623516249508550874192785528942893423100631994011428855219324147261864808939122859541514187998187*α)/3611386249126518360105367944574398797348453160896793205211567120418557459514662499861149378419723994439102656606860882094233425018460164956022242820810068030075588147124216921993473398145024000000000
c_1,22	-52910230010043233876722967000608534670260528266417382880734776226193677245966563467804231588917946311094940712164391026994821967829930422620802207987843402950596416876573256276437339590097722373/18928645167835544508138480261217538524033271739872847144557179389780025305042368964789472604130967143267020820835960485459430365613998105976392445129763115192120324081478654211827860569587712000000000 + (106925432311428426001616141426237551048528815737094783433686153362974321075193201067480804101028978673870372107220351918992237995360806850038468138416623059714974701942270165337225634825503377889*α)/548930709867230790736015927575308617196964880456312567192158202303620733846228699978894705519798047154743603804242854078323480602805945073315380908763130340571489398362880972143007956518043648000000000
c_1,23	-345993041421145929823143952284104546931221843984675960784207688829394503838620692612572290183200765579305997490212335019855939635472929563338546244563800873052227592175517026590229309903628504867/151429161342684356065107842089740308192266173918982777156457435118240202440338951718315780833047737146136166566687683883675442924911984847811139561038104921536962592651829233694622884556701696000000000 + (280895787765016579928987426101465791696716159900835429408744796753282442504174999451652137311280135547766894069270000483977984818356692507905916616326469009588516533005075691223810554354063291431*α)/4391445678937846325888127420602468937575719043650500537537265618428965870769829599831157644158384377237948830433942832626587844822447560586523047270105042724571915186903047777144063652144349184000000000
c_1,24	10228259958226640788638235255357348938339028854042788833108523524298205916084887761563442181118763787862816678386796657626656393342972053634993471705642792552448657877813440248617278612284453667/173061898677353549788694676673988923648304198764551745321665640135131659931815944820932320952054556738441333219071638724200506199899411254641302355472119910327957248744947695650997582350516224000000000 - (127757901501140846283526681268374322425688693884640428890145383193975271331270633942850579183584238349538980770268174266152856259424678057636679533672765465268952389579239828632317987549821548817*α)/35131565431502770607105019364819751500605752349204004300298124947431726966158636798649261153267075017903590643471542661012702758579580484692184378160840341796575321495224382217152509217154793472000000000
c_1,25	370972261018817997807686274346572932870511515893964029083381171969273492444072974402882113469565109470412963213461749197212084182137759463737686972924208851876688928008869695990443460341123081443/9691466325931798788166901893743379724305035130814897738013275847567372956181692909972209973315055177352714660268011768555228347194367030259912931906438714978365605929717070956455864611628908544000000000 - (296351778936162159094290652898394947599813988058915305854005486461050910556968259182380134983558012704776227746613360523377743681842504900296559490664922597496351256977120734401748652186613319399*α)/281052523452022164856840154918558012004846018793632034402384999579453815729269094389194089226136600143228725147772341288101622068636643877537475025286722734372602571961795057737220073737238347776000000000
c_1,26	-1771068769847235431272836180565947618288086151574242906733328253011761822418655008436591822273602636294905419820684206054091210209130407993719254620615534353768875500057107785440259513071983553/2215192303070125437295291861427058222698293744186262340117320193729685247127244093707933708186298326252049065204116975669766479358712464059408670150043134852197852783935330504332769054086607667200000000 + (2722348594695360235212036692190850678959942381828734533504804201371205079915114104693085259664842151607461546763222546499878910850964471537937972971124234203457312942531593030099806249677019629*α)/64240576789033637681563463981384688458250518581401607863402285618160872166690078717530077537402651461309422890919392294423227901402661457722851434351250910713737730734124584625650302568511622348800000000
c_1,27	-238584091856767180066739982896572333687098283518894688538476480898843935670038233655273062276076072489436069392443528539087482358887581067830811406344077964047377942406432745264494064052433733221/620253844859635122442681721199576302355522248372153455232849654244311869195628346238221438292163531350573738257152753187534614220439489936634427642012077758615398779501892541213175335144250146816000000000 + (189110912507848842562401170804273836210335881728868295663212078192370791113676116709082194625095936432086794587651966398023966528651057182419547762249613306660023322255162875548802509170029173953*α)/17987361500929418550837769914787712768310145202792450201752639973085044206673222040908421710472742409166638409457429842438503812392745208162398401618350254999846564605554883695182084719183254257664000000000
c_1,28	29295251634975771498814230685921136433615398869076048950877131501270453091561032768522612319026266282059571219880018956767104368372747220008287677022249454890053899600857146824920585683814226993/4962030758877080979541453769596610418844177986977227641862797233954494953565026769905771506337308250804589906057222025500276913763515919493075421136096622068923190236015140329705402681154001174528000000000 - (39158727204548139244986604452550475128012368015958127229123720604885478460031064706386279180637126929931336795227143110979073555513489109632505247829781121823282742592407200755966117687894875549*α)/143898892007435348406702159318301702146481161622339601614021119784680353653385776327267373683781939273333107275659438739508030499141961665299187212946802039998772516844439069561456677753466034061312000000000
c_1,29	82224141884588677199724907971939582792579248456387319696748585353254845033208128038910504340315803356643868945716675217560021693412932437974077675127267990219062749235126382042100281191909006407/39696246071016647836331630156772883350753423895817821134902377871635959628520214159246172050698466006436719248457776204002215310108127355944603369088772976551385521888121122637643221449232009396224000000000 - (9320425640898897150049647955304738528520700738601444369024452725946599819726188535894236639933254911693649552603076763496972442067850616861685153477939459766277335049057841991118071000999770093*α)/164455876579926112464802467792344802453121327568388116130309851182491832746726601516876998495750787740952122600753644273723463427590813331770499671939202331427168590679358936641664774575389753212928000000000
c_1,30	-5365487676963386442016464571330585110683278124827474343949197785920313634640530696462824496884115634333625275738042829814856609098845595295522674484709661103904331866233244526315931847088051559/317569968568133182690653041254183066806027391166542569079219022973087677028161713273969376405587728051493753987662209632017722480865018847556826952710183812411084175104968981101145771593856075169792000000000 + (6463914448557776071033052312309367023467187284899758906027824137569227139519337130514745476398387865704308737354871396209159277374752927854645134028244992496917423419191683556584791956025602587*α)/9209529088475862298028938196371308937374794343829734503297351666219542633816689684945111915762044113493318865642204079328513951945085546579147981628595330559921441078044100451933227376221826179923968000000000
c_1,31	-11448645630590609553109425379790221234884091412496403521443315165976284106569970556651080707393668517121393910614688773764031574979236589819831862721330864899218694610242103957365291273659227641/2540559748545065461525224330033464534448219129332340552633752183784701416225293706191755011244701824411950031901297677056141779846920150780454615621681470499288673400839751848809166172750848601358336000000000 + (9148865595930741565615156440224231542834591321475271510121260139422774755711394586421053201556577926013663124779237988490902885262993114069068772087258681473593136554293797171636719800997443013*α)/73676232707806898384231505570970471498998354750637876026378813329756341070533517479560895326096352907946550925137632634628111615560684372633183853028762644479371528624352803615465819009774609439391744000000000
c_1,32	0
c_1,33	0
c_1,34	0
c_1,35	0
c_1,36	0
c_1,37	0
c_1,38	0
c_1,39	0
c_1,40	0
c_1,41	0
c_1,42	0
c_1,43	0
c_1,44	0
c_1,45	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
c_3,29	0
c_3,30	0
c_3,31	0
c_3,32	0
c_3,33	0
c_3,34	0
c_3,35	0
c_3,36	0
c_3,37	0
c_3,38	0
c_3,39	0
c_3,40	0
c_3,41	0
c_3,42	0
c_3,43	0
c_3,44	0
c_3,45	0
c_4,0	0
c_4,1	0
c_4,2	0
c_4,3	0
c_4,4	0
c_4,5	0
c_4,6	0
c_4,7	0
c_4,8	0
c_4,9	0
c_4,10	0
c_4,11	0
c_4,12	0
c_4,13	0
c_4,14	0
c_4,15	0
c_4,16	0
c_4,17	0
c_4,18	0
c_4,19	0
c_4,20	0
c_4,21	0
c_4,22	0
c_4,23	0
c_4,24	0
c_4,25	0
c_4,26	0
c_4,27	0
c_4,28	0
c_4,29	0
c_4,30	0
c_4,31	0
c_4,32	0
c_4,33	0
c_4,34	0
c_4,35	0
c_4,36	0
c_4,37	0
c_4,38	0
c_4,39	0
c_4,40	0
c_4,41	0
c_4,42	0
c_4,43	0
c_4,44	0
c_4,45	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 -1/8388608

[8 -89 992] 15 331/58720256

[4 -25 160] 15 243/58720256 + α/7340032

[12 -109 992] 23 1741/58720256 + (27*α)/7340032

[6 -13 32] 23 1741/58720256 + (27*α)/7340032

[6 -19 64] 23 3307/58720256

[14 -42 128] 28 1/4096

[14 -70 352] 28 -1/4096

[8 -42 224] 28 1/4096

[8 -106 1408] 28 1/4096

[16 -113 800] 31 2629/29360128 + (81*α)/7340032

[8 -113 1600] 31 2629/29360128 + (81*α)/7340032

[14 -47 160] 31 -9393/29360128

[20 -101 512] 39 12717/58720256 + (247*α)/7340032

[10 -91 832] 39 5947/58720256 + (121*α)/3670016

[10 -101 1024] 39 -5947/58720256 - (121*α)/3670016

[8 -27 96] 39 88939/58720256

[24 -73 224] 47 -4285/29360128 - (81*α)/3670016

[12 -73 448] 47 -52873/29360128 - (1161*α)/7340032

[4 9 32] 47 4285/29360128 + (81*α)/3670016

[8 -73 672] 47 -52873/29360128 - (1161*α)/7340032

[16 -55 192] 47 -166123/29360128

[2 4 32] 48 -11/1792 - α/1792

[26 76 224] 48 0

[6 12 32] 48 0

[14 36 96] 48 11/1792 + α/1792

[2 3 32] 55 179399/58720256 + (27*α)/7340032

[14 -29 64] 55 -145137/58720256

[14 -99 704] 55 145137/58720256

[8 -35 160] 55 676849/58720256

[2 2 32] 60 67/28672 + (3*α)/3584

[30 -210 1472] 60 -243/28672 - α/3584

[16 -50 160] 60 -331/28672

[16 -178 1984] 60 -155/28672 - α/1792

[10 -30 96] 60 507/28672 - α/1792

[10 -50 256] 60 -331/28672

[8 -50 320] 60 -419/28672 + α/3584

[8 -114 1632] 60 -243/28672 - α/3584

[2 1 32] 63 86345/8388608 + (375*α)/524288

[16 -225 3168] 63 96767/8388608 + (759*α)/1048576

[4 33 288] 63 -96767/8388608 - (759*α)/1048576

[12 -159 2112] 63 2997/1048576 + (45*α)/65536

[8 -97 1184] 63 -20249/8388608

[2 0 32] 64 0

[2 8 64] 64 0

[2 16 160] 64 0

[4 8 32] 64 0

[20 56 160] 64 0

[10 -24 64] 64 0

[10 -64 416] 64 0

[10 -144 2080] 64 0

[36 -469 6112] 71 208533/58720256 + (2079*α)/1048576

[18 -181 1824] 71 195683/8388608 + (7533*α)/7340032

[18 -235 3072] 71 454075/58720256 + (2889*α)/7340032

[12 -85 608] 71 195683/8388608 + (7533*α)/7340032

[120 277 640] 71 -208533/58720256 - (2079*α)/1048576

[10 -43 192] 71 -4003117/58720256

[10 -53 288] 71 -454075/58720256 - (2889*α)/7340032

[40 -441 4864] 79 -1172239/29360128 - (38853*α)/7340032

[20 -121 736] 79 -1092443/29360128 - (891*α)/1835008

[190 441 1024] 79 1172239/29360128 + (38853*α)/7340032

[10 -71 512] 79 1092443/29360128 + (891*α)/1835008

[10 -121 1472] 79 -546173/4194304

[44 -397 3584] 87 897961/8388608 + (35837*α)/7340032

[22 -45 96] 87 -4392385/58720256 - (32351*α)/7340032

[22 -243 2688] 87 -4093983/58720256 - (42509*α)/7340032

[16 -115 832] 87 4392385/58720256 + (32351*α)/7340032

[12 -51 224] 87 -1461911/58720256

[134 307 704] 87 897961/8388608 + (35837*α)/7340032

[46 -138 416] 92 -6789/28672 - (27*α)/1792

[46 -230 1152] 92 6789/28672 + (27*α)/1792

[4 6 32] 92 -6789/28672 - (27*α)/1792

[24 -218 1984] 92 3307/28672

[26 70 192] 92 3307/28672

[162 374 864] 92 -6789/28672 - (27*α)/1792

[6 26 128] 92 -3307/28672

[26 -86 288] 92 -13403/28672 - (27*α)/1792

[12 -26 64] 92 3307/28672

[12 -38 128] 92 6789/28672 + (27*α)/1792

[12 -122 1248] 92 3307/28672

[12 -134 1504] 92 -3307/28672

[48 -337 2368] 95 -8200709/58720256 - (16173*α)/1835008

[24 -337 4736] 95 740541/8388608 - (22275*α)/3670016

[4 17 96] 95 -1956387/58720256 - (6075*α)/1048576

[16 -81 416] 95 1956387/58720256 + (6075*α)/1048576

[6 49 416] 95 -740541/8388608 + (22275*α)/3670016

[12 -145 1760] 95 12694299/58720256

[60 145 352] 95 -15108707/58720256 - (126117*α)/7340032

[10 15 32] 95 -8200709/58720256 - (16173*α)/1835008

[52 -261 1312] 103 14148977/58720256 + (203499*α)/7340032

[4 5 32] 103 -14148977/58720256 - (203499*α)/7340032

[26 -261 2624] 103 951889/58720256 + (31671*α)/7340032

[14 -59 256] 103 13340615/58720256

[14 -101 736] 103 951889/58720256 + (31671*α)/7340032

[56 -169 512] 111 -12687515/58720256 - (123799*α)/7340032

[28 -169 1024] 111 -19222547/58720256 + (54315*α)/3670016

[120 297 736] 111 2625597/8388608 + (29329*α)/7340032

[6 9 32] 111 12687515/58720256 + (123799*α)/7340032

[14 -169 2048] 111 -1995139/58720256

[14 -183 2400] 111 -4541589/58720256 + (188969*α)/7340032

[12 -87 640] 111 19222547/58720256 - (54315*α)/3670016

[10 23 64] 111 -2625597/8388608 - (29329*α)/7340032

[2 4 64] 112 1/2

[58 172 512] 112 -1/2

[4 4 32] 112 1/2

[28 -84 256] 112 0

[28 -140 704] 112 0

[28 -196 1376] 112 1/2

[14 -28 64] 112 -1/2

[14 -84 512] 112 1/2

[8 12 32] 112 -1/2

[16 -84 448] 112 0

[16 -148 1376] 112 1/2

[16 -212 2816] 112 0

[2 3 64] 119 1591041/4194304 + (42903*α)/1048576

[30 -61 128] 119 2346769/4194304 + (15147*α)/1048576

[30 -451 6784] 119 -1591041/4194304 - (42903*α)/1048576

[20 -61 192] 119 -2374787/4194304 - (17091*α)/524288

[90 221 544] 119 -806449/4194304 + (7533*α)/1048576

[16 -67 288] 119 974347/4194304

[8 67 576] 119 2346769/4194304 + (15147*α)/1048576

[12 -61 320] 119 -2374787/4194304 - (17091*α)/524288

[24 61 160] 119 3304515/4194304 + (25515*α)/524288

[12 -125 1312] 119 806449/4194304 - (7533*α)/1048576

[2 2 64] 124 -4135/14336 + (81*α)/1792

[62 -434 3040] 124 4135/14336 - (81*α)/1792

[4 2 32] 124 -4135/14336 + (81*α)/1792

[32 -226 1600] 124 -9393/14336

[16 -98 608] 124 -9393/14336

[16 -226 3200] 124 -9393/14336

[8 34 160] 124 9393/14336

[28 -94 320] 124 -4135/14336 + (81*α)/1792

[10 14 32] 124 4135/14336 - (81*α)/1792

[14 -46 160] 124 22921/14336 - (81*α)/1792

[14 -130 1216] 124 -9393/14336

[14 -158 1792] 124 9393/14336

[2 1 64] 127 632983/1835008 + (387045*α)/7340032

[4 1 32] 127 632983/1835008 + (387045*α)/7340032

[32 -449 6304] 127 4966393/3670016 + (145233*α)/7340032

[16 -193 2336] 127 10838221/7340032

[8 65 544] 127 -4966393/3670016 - (145233*α)/7340032

[2 0 64] 128 0

[2 8 96] 128 281/448 + (27*α)/448

[2 16 192] 128 0

[4 0 32] 128 0

[4 16 96] 128 281/448 + (27*α)/448

[4 32 288] 128 0

[6 8 32] 128 281/448 + (27*α)/448

[22 -112 576] 128 -281/448 - (27*α)/448

[22 -200 1824] 128 281/448 + (27*α)/448

[22 -288 3776] 128 -281/448 - (27*α)/448

[18 -40 96] 128 281/448 + (27*α)/448

[18 -112 704] 128 0

[18 -256 3648] 128 0

[12 16 32] 128 0

[12 -64 352] 128 281/448 + (27*α)/448

[12 -112 1056] 128 0

[68 -885 11520] 135 1925631/14680064 - (56643*α)/1835008

[34 -171 864] 135 -35440563/14680064 + (4413*α)/3670016

[34 -341 3424] 135 -25094787/14680064 - (251529*α)/7340032

[24 -267 2976] 135 -50982777/58720256 - (415467*α)/7340032

[8 11 32] 135 1925631/14680064 - (56643*α)/1835008

[18 -75 320] 135 19517769/14680064

[16 -117 864] 135 -25094787/14680064 - (251529*α)/7340032

[12 -75 480] 135 -92524545/58720256 - (24867*α)/917504

[72 -793 8736] 143 -35524815/58720256 - (178173*α)/3670016

[36 -217 1312] 143 -29927009/8388608 - (789129*α)/7340032

[42 121 352] 143 -40810529/58720256 - (144747*α)/1835008

[6 7 32] 143 -35524815/58720256 - (178173*α)/3670016

[6 25 128] 143 -45002329/58720256 - (657207*α)/7340032

[18 -199 2208] 143 -45002329/58720256 - (657207*α)/7340032

[18 -217 2624] 143 -187835839/58720256

[12 -25 64] 143 40810529/58720256 + (144747*α)/1835008

[14 -89 576] 143 2432943/8388608 + (1041741*α)/7340032

[14 -103 768] 143 29927009/8388608 + (789129*α)/7340032

[76 -685 6176] 151 -107395625/58720256 - (441639*α)/7340032

[38 -77 160] 151 156699719/58720256 + (25839*α)/7340032

[38 -115 352] 151 49446599/8388608 + (68067*α)/1835008

[20 -83 352] 151 -50625369/8388608

[8 19 64] 151 -49446599/8388608 - (68067*α)/1835008

[10 13 32] 151 107395625/58720256 + (441639*α)/7340032

[10 83 704] 151 156699719/58720256 + (25839*α)/7340032

[78 -234 704] 156 -95709/28672 - (5*α)/3584

[78 -390 1952] 156 58381/28672 - (139*α)/512

[40 -202 1024] 156 24611/28672 + (731*α)/3584

[40 -522 6816] 156 -12717/28672 - (247*α)/3584

[6 6 32] 156 -58381/28672 + (139*α)/512

[26 -182 1280] 156 -107603/28672 - (489*α)/3584

[8 10 32] 156 95709/28672 + (5*α)/3584

[20 -42 96] 156 107603/28672 + (489*α)/3584

[20 -182 1664] 156 -70275/28672 + (489*α)/3584

[20 -202 2048] 156 70275/28672 - (489*α)/3584

[10 22 64] 156 -12717/28672 - (247*α)/3584

[82 198 480] 156 -50045/28672 - (175*α)/512

[10 42 192] 156 -88939/28672

[30 -102 352] 156 -254923/28672 + (121*α)/896

[16 -54 192] 156 77045/28672 - (121*α)/896

[16 -182 2080] 156 -88939/28672

[80 -561 3936] 159 90773209/58720256 + (78739*α)/458752

[40 -561 7872] 159 337990505/58720256 + (79453*α)/3670016

[46 -143 448] 159 -39429103/8388608 - (667559*α)/3670016

[28 -143 736] 159 -39429103/8388608 - (667559*α)/3670016

[20 -241 2912] 159 48898905/58720256

[30 81 224] 159 -75245729/58720256 - (1007813*α)/7340032

[16 -49 160] 159 153938961/58720256 - (2163*α)/1048576

[10 81 672] 159 -337990505/58720256 - (79453*α)/3670016

[12 15 32] 159 90773209/58720256 + (78739*α)/458752

[14 -143 1472] 159 -75245729/58720256 - (1007813*α)/7340032

[84 -421 2112] 167 -38923581/58720256 - (653481*α)/3670016

[42 -379 3424] 167 -93094083/58720256 - (230823*α)/3670016

[42 -421 4224] 167 -240143069/58720256 - (10989*α)/524288

[28 -421 6336] 167 -38923581/58720256 - (653481*α)/3670016

[36 101 288] 167 -222424667/58720256 - (2258037*α)/7340032

[22 -69 224] 167 -174551525/58720256 - (543699*α)/7340032

[22 -91 384] 167 110797165/58720256

[14 -155 1728] 167 174551525/58720256 + (543699*α)/7340032

[14 -197 2784] 167 93094083/58720256 + (230823*α)/3670016

[16 -37 96] 167 222424667/58720256 + (2258037*α)/7340032

[12 101 864] 167 240143069/58720256 + (10989*α)/524288

[88 -265 800] 175 47194717/8388608 + (657153*α)/1048576

[44 -265 1600] 175 -65258411/8388608 + (102465*α)/262144

[4 9 64] 175 -41186341/8388608 - (367227*α)/524288

[8 9 32] 175 -47194717/8388608 - (657153*α)/1048576

[22 -265 3200] 175 -101564747/8388608

[20 -265 3520] 175 32957465/2097152 - (5535*α)/8192

[16 -119 896] 175 65258411/8388608 - (102465*α)/262144

[2 4 96] 176 881/64 - (27*α)/448

[90 268 800] 176 -21607/1792 - (405*α)/1792

[30 -92 288] 176 0

[30 -212 1504] 176 21607/1792 + (405*α)/1792

[30 -332 3680] 176 3061/1792 - (513*α)/1792

[30 -452 6816] 176 -881/64 + (27*α)/448

[22 -44 96] 176 -21607/1792 - (405*α)/1792

[22 -132 800] 176 881/64 - (27*α)/448

[10 12 32] 176 -21607/1792 - (405*α)/1792

[18 -92 480] 176 0

[18 -164 1504] 176 881/64 - (27*α)/448

[18 -236 3104] 176 -3061/1792 + (513*α)/1792

[2 3 96] 183 -542507/8388608 - (677027*α)/3670016

[46 -93 192] 183 419225747/58720256 + (645161*α)/3670016

[46 -323 2272] 183 -177392027/58720256 - (667951*α)/7340032

[6 3 32] 183 -542507/8388608 - (677027*α)/3670016

[24 -99 416] 183 -85239491/58720256

[38 -125 416] 183 -293419989/58720256 - (2508455*α)/7340032

[16 -227 3232] 183 -177392027/58720256 - (667951*α)/7340032

[12 99 832] 183 419225747/58720256 + (645161*α)/3670016

[2 2 96] 188 -320457/14336 - (3321*α)/3584

[94 -658 4608] 188 223281/14336 + (189*α)/512

[48 -146 448] 188 52873/14336 + (1161*α)/3584

[48 -530 5856] 188 52873/14336 + (1161*α)/3584

[6 2 32] 188 -320457/14336 - (3321*α)/3584

[6 14 64] 188 52873/14336 + (1161*α)/3584

[142 350 864] 188 -6329/2048 - (837*α)/3584

[6 50 448] 188 117535/14336 - (999*α)/3584

[24 -146 896] 188 -30673/2048 - (999*α)/3584

[24 -338 4768] 188 -117535/14336 + (999*α)/3584

[8 18 64] 188 -52873/14336 - (1161*α)/3584

[112 274 672] 188 6329/2048 + (837*α)/3584

[12 14 32] 188 223281/14336 + (189*α)/512

[16 -146 1344] 188 -30673/2048 - (999*α)/3584

[12 50 224] 188 166123/14336

[32 -110 384] 188 -271869/14336 - (1161*α)/1792

[14 34 96] 188 6329/2048 + (837*α)/3584

[102 242 576] 188 6329/2048 + (837*α)/3584

[14 62 288] 188 -604115/14336 - (1161*α)/1792

[42 -146 512] 188 -166123/14336

[2 1 96] 191 -187706809/29360128 - (2480949*α)/7340032

[48 -673 9440] 191 427806913/29360128 - (3007665*α)/7340032

[4 33 320] 191 -94218473/29360128 - (2751921*α)/7340032

[6 1 32] 191 -187706809/29360128 - (2480949*α)/7340032

[32 -417 5440] 191 -801400155/29360128 + (296217*α)/1835008

[24 -289 3488] 191 971460821/29360128

[8 33 160] 191 -52954333/29360128 + (841779*α)/3670016

[20 -223 2496] 191 -52954333/29360128 + (841779*α)/3670016

[36 95 256] 191 -23057325/4194304 + (184923*α)/1835008

[16 -161 1632] 191 -23057325/4194304 + (184923*α)/1835008

[12 97 800] 191 -427806913/29360128 + (3007665*α)/7340032

[18 -95 512] 191 801400155/29360128 - (296217*α)/1835008

[18 -257 3680] 191 94218473/29360128 + (2751921*α)/7340032

[2 0 96] 192 0

[2 8 128] 192 44/7 + (4*α)/7

[2 16 224] 192 0

[4 8 64] 192 -88/7 - (8*α)/7

[52 152 448] 192 0

[6 0 32] 192 0

[6 24 128] 192 44/7 + (4*α)/7

[6 48 416] 192 0

[8 8 32] 192 44/7 + (4*α)/7

[24 -72 224] 192 44/7 + (4*α)/7

[24 -120 608] 192 -44/7 - (4*α)/7

[24 -168 1184] 192 -44/7 - (4*α)/7

[26 -56 128] 192 44/7 + (4*α)/7

[26 -160 992] 192 0

[26 -368 5216] 192 0

[12 24 64] 192 0

[28 72 192] 192 88/7 + (8*α)/7

[14 16 32] 192 0

[14 -72 384] 192 44/7 + (4*α)/7

[14 -128 1184] 192 0

[100 -1301 16928] 199 -614175475/58720256 - (1140561*α)/3670016

[50 -501 5024] 199 -26579621/8388608 + (369765*α)/1835008

[50 -651 8480] 199 -527034373/58720256 - (607905*α)/7340032

[26 -107 448] 199 1179249059/58720256

[26 -341 4480] 199 131411619/8388608 - (491049*α)/7340032

[10 11 32] 199 -614175475/58720256 - (1140561*α)/3670016

[10 21 64] 199 -527034373/58720256 - (607905*α)/7340032

[16 -213 2848] 199 131411619/8388608 - (491049*α)/7340032

[14 117 992] 199 26579621/8388608 - (369765*α)/1835008

[104 -1145 12608] 207 25095459/58720256 - (4002519*α)/7340032

[52 -313 1888] 207 -1427399157/58720256 - (284625*α)/524288

[478 1113 2592] 207 182670339/8388608 + (5413953*α)/3670016

[36 -327 2976] 207 -261011727/29360128 - (6683841*α)/7340032

[26 -313 3776] 207 -649494213/58720256

[26 -391 5888] 207 -25095459/58720256 + (4002519*α)/7340032

[18 -39 96] 207 -261011727/29360128 - (6683841*α)/7340032

[18 -57 192] 207 268768611/29360128 + (513207*α)/524288

[16 -135 1152] 207 1427399157/58720256 + (284625*α)/524288

[108 -973 8768] 215 -781138597/58720256 - (2522421*α)/1835008

[54 -109 224] 215 -859475773/58720256 - (9628443*α)/7340032

[54 -595 6560] 215 1307220197/58720256 + (709911*α)/1835008

[36 -397 4384] 215 4925937427/58720256 + (13561479*α)/7340032

[6 13 64] 215 1307220197/58720256 + (709911*α)/1835008

[28 -115 480] 215 754459781/58720256

[42 115 320] 215 2607325/8388608 - (1898667*α)/3670016

[24 -77 256] 215 124592387/58720256 + (4045869*α)/7340032

[12 13 32] 215 781138597/58720256 + (2522421*α)/1835008

[18 -109 672] 215 1902533475/58720256 + (11444841*α)/7340032

[20 -205 2112] 215 2607325/8388608 - (1898667*α)/3670016

[42 109 288] 215 -1902533475/58720256 - (11444841*α)/7340032

[16 -179 2016] 215 -124592387/58720256 - (4045869*α)/7340032

[14 115 960] 215 -859475773/58720256 - (9628443*α)/7340032

[110 -330 992] 220 -62039/28672 + (27*α)/3584

[110 -550 2752] 220 711111/28672 + (27*α)/3584

[4 6 64] 220 469673/28672 + (27*α)/3584

[56 -506 4576] 220 -179399/28672 - (27*α)/3584

[28 -58 128] 220 352313/28672 - (27*α)/3584

[28 -198 1408] 220 -352313/28672 + (27*α)/3584

[28 -282 2848] 220 143055/4096 + (27*α)/3584

[28 -422 6368] 220 711111/28672 + (27*α)/3584

[10 10 32] 220 62039/28672 - (27*α)/3584

[22 -154 1088] 220 143055/4096 + (27*α)/3584

[34 86 224] 220 -118353/4096 - (81*α)/3584

[170 390 896] 220 -179399/28672 - (27*α)/3584

[14 58 256] 220 -676849/28672

[34 -118 416] 220 -1740273/28672

[16 -70 320] 220 55225/4096

[16 -198 2464] 220 -676849/28672

[112 -785 5504] 223 -172808215/14680064 + (2857059*α)/7340032

[56 -785 11008] 223 44865067/2097152 + (7178301*α)/7340032

[4 17 128] 223 -148989263/14680064 - (2766069*α)/3670016

[28 -337 4064] 223 130401067/14680064

[8 17 64] 223 -148989263/14680064 - (2766069*α)/3670016

[14 15 32] 223 -172808215/14680064 + (2857059*α)/7340032

[14 113 928] 223 -44865067/2097152 - (7178301*α)/7340032

[116 -581 2912] 231 36855311/4194304 + (133335*α)/524288

[4 5 64] 231 -24184103/4194304 + (333265*α)/262144

[58 -581 5824] 231 51190947/4194304 + (477631*α)/1048576

[40 -123 384] 231 302254245/4194304 + (549419*α)/1048576

[30 -123 512] 231 -211200119/4194304

[30 -453 6848] 231 36855311/4194304 + (133335*α)/524288

[24 -123 640] 231 302254245/4194304 + (549419*α)/1048576

[40 -133 448] 231 -111434049/4194304 - (751099*α)/524288

[20 -123 768] 231 36854821/4194304 - (708021*α)/1048576

[104 251 608] 231 -111517481/4194304 + (13703*α)/131072

[20 -187 1760] 231 36854821/4194304 - (708021*α)/1048576

[120 -361 1088] 239 -259041331/29360128 - (284013*α)/7340032

[60 -361 2176] 239 -42977649/4194304 - (1204929*α)/3670016

[248 617 1536] 239 -26799559/4194304 + (507681*α)/917504

[40 -361 3264] 239 608782345/29360128 + (9477891*α)/3670016

[48 -151 480] 239 -432980725/29360128 + (11767275*α)/7340032

[30 -151 768] 239 -432980725/29360128 + (11767275*α)/7340032

[30 -361 4352] 239 -1225334511/29360128

[24 -361 5440] 239 -259041331/29360128 - (284013*α)/7340032

[10 41 192] 239 -362639961/29360128 - (847989*α)/3670016

[20 -41 96] 239 608782345/29360128 + (9477891*α)/3670016

[198 457 1056] 239 -26799559/4194304 + (507681*α)/917504

[22 -137 864] 239 353400349/29360128 + (8414199*α)/7340032

[22 -247 2784] 239 -362639961/29360128 - (847989*α)/3670016

[18 -169 1600] 239 353400349/29360128 + (8414199*α)/7340032

[2 4 128] 240 -67/14 - (12*α)/7

[122 364 1088] 240 243/14 + (4*α)/7

[4 4 64] 240 -88/7 + (8*α)/7

[60 -180 544] 240 -7761/224 - (419*α)/224

[60 -300 1504] 240 -4945/224 - (675*α)/224

[60 -420 2944] 240 0

[6 12 64] 240 4945/224 + (675*α)/224

[46 132 384] 240 -7761/224 - (419*α)/224

[30 -60 128] 240 243/14 + (4*α)/7

[30 -180 1088] 240 -67/14 - (12*α)/7

[8 4 32] 240 -67/14 - (12*α)/7

[32 -100 320] 240 0

[32 -228 1632] 240 -243/14 - (4*α)/7

[32 -356 3968] 240 88/7 - (8*α)/7

[10 20 64] 240 7761/224 + (419*α)/224

[34 92 256] 240 -4945/224 - (675*α)/224

[12 12 32] 240 243/14 + (4*α)/7

[20 -60 192] 240 88/7 - (8*α)/7

[20 -100 512] 240 0

[20 -140 992] 240 67/14 + (12*α)/7

[16 -36 96] 240 7761/224 + (419*α)/224

[16 -100 640] 240 -88/7 + (8*α)/7

[16 -164 1696] 240 -4945/224 - (675*α)/224

[16 -228 3264] 240 0

[2 3 128] 247 3318622563/58720256 + (25063317*α)/7340032

[62 -125 256] 247 1938657075/58720256 + (20416455*α)/7340032

[62 -931 13984] 247 -1889954755/58720256 - (9866097*α)/7340032

[8 3 32] 247 3318622563/58720256 + (25063317*α)/7340032

[32 -131 544] 247 -176342477/8388608

[2 2 128] 252 30671/4096 + (9*α)/512

[126 -882 6176] 252 -396895/4096 - (3027*α)/512

[4 2 64] 252 279879/4096 + (567*α)/128

[64 -450 3168] 252 86345/4096 + (375*α)/256

[42 -126 384] 252 -2997/512 - (45*α)/32

[42 -210 1056] 252 2997/512 + (45*α)/32

[8 2 32] 252 30671/4096 + (9*α)/512

[32 -194 1184] 252 -162863/4096 - (1509*α)/512

[32 -450 6336] 252 203361/4096 + (1509*α)/512

[8 66 576] 252 -203361/4096 - (1509*α)/512

[24 -126 672] 252 -2997/512 - (45*α)/32

[24 -318 4224] 252 -2997/512 - (45*α)/32

[14 14 32] 252 -396895/4096 - (3027*α)/512

[18 -126 896] 252 162863/4096 + (1509*α)/512

[16 -66 288] 252 20249/4096

[16 -194 2368] 252 -213783/4096 - (759*α)/256

[18 -78 352] 252 -254281/4096 - (759*α)/256

[18 -114 736] 252 452569/4096 + (471*α)/64

[18 -222 2752] 252 -20249/4096

[18 -258 3712] 252 86345/4096 + (375*α)/256

[2 1 128] 255 -19038015/7340032 + (23295945*α)/7340032

[4 1 64] 255 51030601/1835008 + (927595*α)/229376

[64 -897 12576] 255 -33214375/7340032 + (5250025*α)/7340032

[44 -575 7520] 255 -142816227/1835008 - (784071*α)/458752

[8 1 32] 255 -19038015/7340032 + (23295945*α)/7340032

[32 -385 4640] 255 -18752775/262144

[28 -257 2368] 255 206040535/7340032 + (30495695*α)/7340032

[22 -223 2272] 255 -206040535/7340032 - (30495695*α)/7340032

[22 -289 3808] 255 460408379/3670016 + (5428393*α)/3670016

[20 -65 224] 255 -24402141/1835008 + (487065*α)/458752

[14 33 96] 255 -142816227/1835008 - (784071*α)/458752

[2 0 128] 256 0

[2 8 160] 256 5095/112 - (27*α)/112

[2 16 256] 256 0

[4 0 64] 256 0

[4 16 128] 256 0

[4 32 320] 256 0

[8 0 32] 256 0

[8 16 64] 256 0

[40 112 320] 256 0

[8 32 160] 256 5095/112 - (27*α)/112

[8 64 544] 256 0

[34 -72 160] 256 5095/112 - (27*α)/112

[34 -208 1280] 256 0

[34 -480 6784] 256 0

[26 -80 256] 256 5095/112 - (27*α)/112

[26 -184 1312] 256 -5095/112 + (27*α)/112

[26 -288 3200] 256 5095/112 - (27*α)/112

[26 -392 5920] 256 -5095/112 + (27*α)/112

[16 16 32] 256 0

[16 -48 160] 256 5095/112 - (27*α)/112

[16 -112 800] 256 0

[20 -48 128] 256 0

[20 -128 832] 256 0

[20 -288 4160] 256 0

[132 -1717 22336] 263 1342415335/58720256 + (31640247*α)/7340032

[66 -331 1664] 263 1379506801/58720256 - (2349999*α)/917504

[66 -661 6624] 263 -250443455/8388608 - (12285405*α)/7340032

[44 -309 2176] 263 1875244319/58720256 + (8136369*α)/3670016

[408 949 2208] 263 1379506801/58720256 - (2349999*α)/917504

[34 -139 576] 263 260367409/58720256

[34 -309 2816] 263 1769181103/58720256 + (4247451*α)/1835008

[22 -309 4352] 263 1875244319/58720256 + (8136369*α)/3670016

[22 -331 4992] 263 -1342415335/58720256 - (31640247*α)/7340032

[24 -53 128] 263 1769181103/58720256 + (4247451*α)/1835008

[12 53 256] 263 -231534487/58720256 + (11854539*α)/7340032

[18 -203 2304] 263 -231534487/58720256 + (11854539*α)/7340032

[136 -1497 16480] 271 -486301523/29360128 - (8752131*α)/3670016

[68 -409 2464] 271 373725095/4194304 + (4074543*α)/7340032

[74 217 640] 271 668611079/29360128 - (4536513*α)/7340032

[34 -103 320] 271 1799300039/29360128 - (12021777*α)/7340032

[34 -409 4928] 271 4413022885/29360128

[28 -423 6400] 271 486301523/29360128 + (8752131*α)/3670016

[134 327 800] 271 -1010215315/29360128 + (463941*α)/3670016

[20 -103 544] 271 1799300039/29360128 - (12021777*α)/7340032

[212 487 1120] 271 -668611079/29360128 + (4536513*α)/7340032

[124 295 704] 271 -1010215315/29360128 + (463941*α)/3670016

[140 -1261 11360] 279 -1510296523/29360128 + (22130607*α)/7340032

[70 -141 288] 279 -271742093/4194304 - (18916581*α)/7340032

[70 -211 640] 279 516843395/29360128 + (17403399*α)/7340032

[48 -339 2400] 279 -149946633/3670016 - (715977*α)/917504

[36 -147 608] 279 -50467913/29360128

[164 403 992] 279 264067445/29360128 - (19102785*α)/7340032

[28 -365 4768] 279 1707548965/29360128 + (686925*α)/1048576

[268 621 1440] 279 516843395/29360128 + (17403399*α)/7340032

[24 -339 4800] 279 -149946633/3670016 - (715977*α)/917504

[42 -141 480] 279 28150821/3670016 + (422685*α)/229376

[20 -301 4544] 279 -1510296523/29360128 + (22130607*α)/7340032

[98 237 576] 279 -166591457/29360128 - (10189575*α)/3670016

[18 -237 3136] 279 1707548965/29360128 + (686925*α)/1048576

[20 -109 608] 279 264067445/29360128 - (19102785*α)/7340032

[142 -426 1280] 284 2424803/28672 - (11043*α)/1792

[142 -710 3552] 284 -102307/28672 + (4023*α)/1792

[72 -362 1824] 284 -2032389/28672 - (24975*α)/3584

[72 -938 12224] 284 -707173/28672 + (9909*α)/3584

[58 166 480] 284 290107/28672 - (39015*α)/3584

[450 1046 2432] 284 -2032389/28672 - (24975*α)/3584

[6 26 160] 284 -1116683/28672 - (20331*α)/3584

[58 -182 576] 284 208533/28672 + (2079*α)/512

[36 -74 160] 284 -5164365/28672 + (1755*α)/896

[36 -182 928] 284 208533/28672 + (2079*α)/512

[36 -362 3648] 284 -2841869/28672 - (1755*α)/896

[36 -470 6144] 284 208533/28672 + (2079*α)/512

[30 -154 800] 284 1116683/28672 + (20331*α)/3584

[30 -214 1536] 284 5164365/28672 - (1755*α)/896

[30 -394 5184] 284 1116683/28672 + (20331*α)/3584

[30 -454 6880] 284 -102307/28672 + (4023*α)/1792

[24 -170 1216] 284 -2841869/28672 - (1755*α)/896

[24 -362 5472] 284 2424803/28672 - (11043*α)/1792

[40 106 288] 284 -1615323/28672 + (4131*α)/3584

[240 554 1280] 284 707173/28672 - (9909*α)/3584

[18 -38 96] 284 -290107/28672 + (39015*α)/3584

[18 -74 320] 284 -4003117/28672

[18 -182 1856] 284 -1615323/28672 + (4131*α)/3584

[18 -218 2656] 284 -9269789/28672 + (7533*α)/1792

[20 -86 384] 284 -1263555/28672 + (7533*α)/1792

[20 -106 576] 284 -208533/28672 - (2079*α)/512

[20 -246 3040] 284 4003117/28672

[20 -266 3552] 284 1116683/28672 + (20331*α)/3584

[144 -1009 7072] 287 -42694063/524288 - (2450277*α)/1048576

[72 -1009 14144] 287 -225763267/1048576 - (2735883*α)/524288

[78 -239 736] 287 46299389/524288 + (2421873*α)/1048576

[48 -241 1216] 287 -193966931/1048576 - (2616867*α)/524288

[6 49 448] 287 -35208381/524288 - (4829139*α)/1048576

[36 -433 5216] 287 -124931669/1048576

[338 785 1824] 287 46299389/524288 + (2421873*α)/1048576

[24 -241 2432] 287 19508571/1048576 - (68013*α)/65536

[12 49 224] 287 18476401/1048576 + (67635*α)/262144

[26 -239 2208] 287 -19508571/1048576 + (68013*α)/65536

[26 -369 5248] 287 35208381/524288 + (4829139*α)/1048576

[24 -271 3072] 287 18476401/1048576 + (67635*α)/262144

[18 -271 4096] 287 42694063/524288 + (2450277*α)/1048576

[148 -741 3712] 295 6099223617/58720256 - (12404043*α)/7340032

[74 -667 6016] 295 3472689351/58720256 + (2884005*α)/917504

[74 -741 7424] 295 4495740609/58720256 - (5449275*α)/7340032

[38 -155 640] 295 8214915207/58720256

[38 -421 4672] 295 337732785/58720256 - (5598531*α)/1048576

[10 5 32] 295 -6099223617/58720256 + (12404043*α)/7340032

[226 517 1184] 295 3472689351/58720256 + (2884005*α)/917504

[152 -457 1376] 303 -5716278339/58720256 - (5352017*α)/1048576

[76 -457 2752] 303 11129903413/58720256 + (514041*α)/262144

[4 9 96] 303 -5647828309/58720256 + (818529*α)/458752

[6 9 64] 303 -5647828309/58720256 + (818529*α)/458752

[38 -343 3104] 303 3040360059/58720256 + (35428081*α)/3670016

[38 -457 5504] 303 8794789589/58720256

[26 -55 128] 303 3040360059/58720256 + (35428081*α)/3670016

[26 -393 5952] 303 -5716278339/58720256 - (5352017*α)/1048576

[22 -73 256] 303 -6263487891/58720256 - (79248889*α)/7340032

[2 4 160] 304 -6173/1792 + (8073*α)/1792

[154 460 1376] 304 105283/448 - (4887*α)/448

[38 -76 160] 304 105283/448 - (4887*α)/448

[38 -228 1376] 304 -6173/1792 + (8073*α)/1792

[10 4 32] 304 -6173/1792 + (8073*α)/1792

[10 44 224] 304 0

[50 -164 544] 304 -414959/1792 + (11475*α)/1792

[10 84 736] 304 105283/448 - (4887*α)/448

[22 -68 224] 304 414959/1792 - (11475*α)/1792

[22 -156 1120] 304 6173/1792 - (8073*α)/1792

[22 -244 2720] 304 0

[22 -332 5024] 304 -105283/448 + (4887*α)/448

[2 3 160] 311 5641809851/58720256 - (1190403*α)/1835008

[78 -157 320] 311 1281033563/58720256 + (2102463*α)/917504

[78 -547 3840] 311 -4078017299/58720256 + (42643341*α)/7340032

[52 -157 480] 311 -243200645/58720256 - (20863629*α)/1835008

[218 541 1344] 311 -2862816539/58720256 - (672867*α)/458752

[40 -163 672] 311 2106386789/58720256

[8 35 192] 311 9422303147/58720256 - (1220643*α)/3670016

[10 3 32] 311 5641809851/58720256 - (1190403*α)/1835008

[32 -291 2656] 311 -461066613/8388608 - (76390695*α)/7340032

[26 -131 672] 311 -9422303147/58720256 + (1220643*α)/3670016

[26 -157 960] 311 -2036627403/8388608 - (52581393*α)/7340032

[28 -285 2912] 311 461066613/8388608 + (76390695*α)/7340032

[12 29 96] 311 243200645/58720256 + (20863629*α)/1835008

[24 -221 2048] 311 -2036627403/8388608 - (52581393*α)/7340032

[14 61 288] 311 -2985012419/58720256 - (26588817*α)/7340032

[16 35 96] 311 2862816539/58720256 + (672867*α)/458752

[20 -227 2592] 311 -2985012419/58720256 - (26588817*α)/7340032

[240 547 1248] 311 4078017299/58720256 - (42643341*α)/7340032

[2 2 160] 316 1718121/14336 + (4023*α)/512

[158 -1106 7744] 316 -222647/2048 + (42417*α)/3584

[80 -242 736] 316 1092443/14336 + (891*α)/896

[80 -882 9728] 316 1092443/14336 + (891*α)/896

[40 -242 1472] 316 3903007/14336 + (35289*α)/3584

[40 -562 7904] 316 3743415/14336 - (35289*α)/3584

[52 146 416] 316 -1252035/14336 - (37071*α)/1792

[380 882 2048] 316 -1092443/14336 - (891*α)/896

[10 2 32] 316 1718121/14336 + (4023*α)/512

[46 126 352] 316 1252035/14336 + (37071*α)/1792

[310 718 1664] 316 1092443/14336 + (891*α)/896

[10 82 704] 316 -3743415/14336 + (35289*α)/3584

[20 -82 352] 316 546173/2048

[20 -142 1024] 316 -3903007/14336 - (35289*α)/3584

[20 -242 2944] 316 -1638325/14336 + (891*α)/448

[20 -302 4576] 316 222647/2048 - (42417*α)/3584

[22 -50 128] 316 1252035/14336 + (37071*α)/1792

[22 -94 416] 316 -9284747/14336 + (891*α)/448

[22 -226 2336] 316 1252035/14336 + (37071*α)/1792

[22 -270 3328] 316 -546173/2048

[2 1 160] 319 -7705272103/58720256 - (1208925*α)/524288

[80 -1121 15712] 319 -9505744137/58720256 + (4211757*α)/917504

[4 33 352] 319 1718080953/58720256 + (3063069*α)/524288

[40 -481 5792] 319 6294658231/58720256

[50 -159 512] 319 202832937/58720256 - (9743085*α)/1835008

[10 1 32] 319 -7705272103/58720256 - (1208925*α)/524288

[32 -353 3904] 319 -202832937/58720256 + (9743085*α)/1835008

[38 97 256] 319 -1351060521/8388608 + (44240391*α)/7340032

[20 -289 4192] 319 -1718080953/58720256 - (3063069*α)/524288

[2 0 160] 320 0

[2 8 192] 320 256/7

[2 16 288] 320 0

[4 8 96] 320 31911/224 + (243*α)/32

[84 248 736] 320 48295/224 + (243*α)/32

[6 8 64] 320 31911/224 + (243*α)/32

[54 -272 1376] 320 -5729/16 - (243*α)/16

[54 -488 4416] 320 48295/224 + (243*α)/32

[54 -704 9184] 320 0

[42 -88 192] 320 256/7

[42 -256 1568] 320 0

[42 -592 8352] 320 0

[10 0 32] 320 0

[10 40 192] 320 256/7

[10 80 672] 320 0

[28 -88 288] 320 256/7

[28 -200 1440] 320 -256/7

[28 -312 3488] 320 256/7

[28 -424 6432] 320 -256/7

[14 32 96] 320 0

[46 120 320] 320 -31911/224 - (243*α)/32

[126 304 736] 320 5729/16 + (243*α)/16

[254 584 1344] 320 -48295/224 - (243*α)/32

[20 -40 96] 320 48295/224 + (243*α)/32

[20 -120 736] 320 31911/224 + (243*α)/32

[18 -56 192] 320 256/7

[18 -128 928] 320 0

[18 -272 4128] 320 0

[164 -2133 27744] 327 -2137183871/8388608 - (4508329*α)/524288

[82 -821 8224] 327 1893796127/58720256 + (34570217*α)/7340032

[82 -1067 13888] 327 15208777041/58720256 + (22221453*α)/7340032

[56 -619 6848] 327 2969988241/58720256 - (39569963*α)/7340032

[42 -171 704] 327 -8868270903/58720256

[42 -213 1088] 327 -2969988241/58720256 + (39569963*α)/7340032

[28 -171 1056] 327 -5513175175/58720256 - (59714561*α)/3670016

[282 651 1504] 327 -15208777041/58720256 - (22221453*α)/7340032

[24 -363 5504] 327 2137183871/8388608 + (4508329*α)/524288

[44 -149 512] 327 16484006655/58720256 + (142969845*α)/7340032

[22 -203 1888] 327 -5513175175/58720256 - (59714561*α)/3670016

[168 -1849 20352] 335 13028803149/58720256 + (109934901*α)/7340032

[84 -505 3040] 335 22072232101/58720256 + (9891909*α)/1835008

[766 1785 4160] 335 -6257023317/58720256 - (12822057*α)/3670016

[6 7 64] 335 6257023317/58720256 + (12822057*α)/3670016

[6 25 160] 335 8224981739/58720256 + (61360443*α)/3670016

[42 -295 2080] 335 -13443616373/58720256 - (816723*α)/3670016

[42 -505 6080] 335 12633662597/58720256

[36 -185 960] 335 -8224981739/58720256 - (61360443*α)/3670016

[28 -57 128] 335 13443616373/58720256 + (816723*α)/3670016

[128 313 768] 335 2724118125/8388608 + (3458457*α)/458752

[30 -185 1152] 335 -8614424027/58720256 - (3749193*α)/262144

[30 -455 6912] 335 -13028803149/58720256 - (109934901*α)/7340032

[24 -313 4096] 335 -37747625619/58720256 - (116402103*α)/7340032

[14 57 256] 335 527646341/8388608 - (20879343*α)/7340032

[54 -185 640] 335 -527646341/8388608 + (20879343*α)/7340032

[20 -185 1728] 335 -8614424027/58720256 - (3749193*α)/262144

[118 281 672] 335 2724118125/8388608 + (3458457*α)/458752

[172 -1549 13952] 343 -264938721/1048576 - (920079*α)/131072

[86 -173 352] 343 -277229339/1048576 + (799227*α)/524288

[86 -947 10432] 343 -331828401/1048576 - (6922665*α)/524288

[44 -179 736] 343 553663625/1048576

[422 979 2272] 343 331828401/1048576 + (6922665*α)/524288

[28 -371 4928] 343 1912619303/8388608 + (390285*α)/32768

[22 -333 5056] 343 -264938721/1048576 - (920079*α)/131072

[174 -522 1568] 348 20924793/28672 + (66445*α)/1792

[174 -870 4352] 348 61633/4096 + (249*α)/256

[4 6 96] 348 2200641/28672 + (39023*α)/3584

[88 -794 7168] 348 6584129/28672 + (25679*α)/3584

[6 6 64] 348 2200641/28672 + (39023*α)/3584

[58 -406 2848] 348 19155583/28672 + (97353*α)/3584

[44 -90 192] 348 -1734289/4096 - (17047*α)/896

[44 -134 416] 348 4093983/28672 + (42509*α)/3584

[44 -442 4448] 348 9216201/28672 + (17047*α)/896

[44 -486 5376] 348 8477471/28672 + (29165*α)/3584

[12 6 32] 348 -61633/4096 - (249*α)/256

[32 -230 1664] 348 1734289/4096 + (17047*α)/896

[26 -134 704] 348 4093983/28672 + (42509*α)/3584

[26 -186 1344] 348 9216201/28672 + (17047*α)/896

[26 -342 4512] 348 -289505/28672 + (7979*α)/512

[26 -394 5984] 348 20924793/28672 + (66445*α)/1792

[22 -90 384] 348 -1461911/28672

[22 -134 832] 348 14772095/28672 + (110697*α)/3584

[22 -266 3232] 348 -13170503/28672 - (32351*α)/1792

[22 -310 4384] 348 19155583/28672 + (97353*α)/3584

[24 -102 448] 348 -10246681/28672 - (32351*α)/1792

[24 -294 3616] 348 1461911/28672

[52 134 352] 348 -14772095/28672 - (110697*α)/3584

[268 614 1408] 348 6584129/28672 + (25679*α)/3584

[176 -1233 8640] 351 -668532939/14680064 + (30842775*α)/3670016

[88 -1233 17280] 351 -3618196773/14680064 - (26077227*α)/7340032

[4 17 160] 351 1524696801/14680064 - (125096751*α)/7340032

[60 -303 1536] 351 8518882401/58720256 - (1884789*α)/917504

[44 -529 6368] 351 -13609761111/14680064

[188 465 1152] 351 -6866875809/14680064 - (6653355*α)/1835008

[36 -111 352] 351 -8816573361/14680064 + (15832179*α)/1835008

[352 815 1888] 351 -1524696801/14680064 + (125096751*α)/7340032

[30 -273 2496] 351 -7987256721/58720256 - (26476803*α)/3670016

[30 -303 3072] 351 7987256721/58720256 + (26476803*α)/3670016

[22 -111 576] 351 -8816573361/14680064 + (15832179*α)/1835008

[20 -303 4608] 351 668532939/14680064 - (30842775*α)/3670016

[44 111 288] 351 -254635575/14680064 - (808713*α)/65536

[24 -81 288] 351 17196705/8388608 - (2897253*α)/1048576

[20 -47 128] 351 -6866875809/14680064 - (6653355*α)/1835008

[180 -901 4512] 359 10127913855/58720256 + (28548045*α)/7340032

[4 5 96] 359 -5881893303/58720256 - (6901227*α)/917504

[90 -901 9024] 359 24330662511/58720256 - (4867533*α)/7340032

[60 -901 13536] 359 5881893303/58720256 + (6901227*α)/917504

[68 197 576] 359 20654071945/58720256 + (3071655*α)/458752

[46 -187 768] 359 -55445350647/58720256

[46 -325 2304] 359 541612999/58720256 - (8948151*α)/3670016

[36 -325 2944] 359 -10907166601/58720256 - (6800247*α)/458752

[158 389 960] 359 8748952417/58720256 - (136140129*α)/7340032

[30 -91 288] 359 6426009753/58720256 - (45802395*α)/3670016

[30 -421 5920] 359 541612999/58720256 - (8948151*α)/3670016

[12 5 32] 359 -10127913855/58720256 - (28548045*α)/7340032

[32 -69 160] 359 -10907166601/58720256 - (6800247*α)/458752

[16 69 320] 359 3421448193/58720256 + (10542501*α)/1048576

[20 -261 3424] 359 -6426009753/58720256 + (45802395*α)/3670016

[18 37 96] 359 20654071945/58720256 + (3071655*α)/458752

[22 -229 2400] 359 -8748952417/58720256 + (136140129*α)/7340032

[22 -251 2880] 359 3421448193/58720256 + (10542501*α)/1048576

[184 -553 1664] 367 276299221/4194304 + (19417941*α)/1835008

[92 -553 3328] 367 -9065803409/29360128 - (192721761*α)/7340032

[376 937 2336] 367 11347825925/29360128 + (26869077*α)/3670016

[46 -553 6656] 367 4539233987/29360128

[46 -599 7808] 367 -7480933379/29360128 - (4108401*α)/458752

[28 -425 6464] 367 276299221/4194304 + (19417941*α)/1835008

[296 681 1568] 367 11347825925/29360128 + (26869077*α)/3670016

[26 -137 736] 367 7480933379/29360128 + (4108401*α)/458752

[2 4 192] 368 -1741/14 - (108*α)/7

[186 556 1664] 368 1691/2 + (324*α)/7

[4 4 96] 368 -3829/32 - (783*α)/32

[92 -276 832] 368 -2524/7 - (108*α)/7

[92 -460 2304] 368 2524/7 + (108*α)/7

[92 -644 4512] 368 134733/224 + (1431*α)/224

[62 -188 576] 368 53965/224 - (2025*α)/224

[62 -436 3072] 368 -134733/224 - (1431*α)/224

[62 -684 7552] 368 53965/224 - (2025*α)/224

[62 -932 14016] 368 3829/32 + (783*α)/32

[46 -92 192] 368 1691/2 + (324*α)/7

[46 -276 1664] 368 -1741/14 - (108*α)/7

[8 12 64] 368 -2524/7 - (108*α)/7

[48 -244 1248] 368 -53965/224 + (2025*α)/224

[48 -436 3968] 368 2524/7 + (108*α)/7

[48 -628 8224] 368 53965/224 - (2025*α)/224

[12 4 32] 368 -1741/14 - (108*α)/7

[12 28 96] 368 -53965/224 + (2025*α)/224

[52 140 384] 368 2524/7 + (108*α)/7

[156 380 928] 368 53965/224 - (2025*α)/224

[324 748 1728] 368 -2524/7 - (108*α)/7

[12 52 256] 368 0

[52 -172 576] 368 -5048/7 - (216*α)/7

[12 100 864] 368 1691/2 + (324*α)/7

[24 -52 128] 368 2524/7 + (108*α)/7

[24 -76 256] 368 5048/7 + (216*α)/7

[24 -148 928] 368 -3829/32 - (783*α)/32

[24 -172 1248] 368 1741/14 + (108*α)/7

[24 -244 2496] 368 2524/7 + (108*α)/7

[24 -268 3008] 368 0

[24 -340 4832] 368 -134733/224 - (1431*α)/224

[24 -364 5536] 368 -1691/2 - (324*α)/7

[18 44 128] 368 53965/224 - (2025*α)/224

[58 148 384] 368 3829/32 + (783*α)/32

[146 348 832] 368 53965/224 - (2025*α)/224

[282 644 1472] 368 -134733/224 - (1431*α)/224

[2 3 192] 375 1620404641/29360128 - (273089475*α)/7340032

[94 -189 384] 375 -4103452603/29360128 - (67959135*α)/3670016

[94 -1411 21184] 375 5739843411/29360128 + (39645547*α)/1835008

[6 3 64] 375 -5739843411/29360128 - (39645547*α)/1835008

[48 -195 800] 375 -24925821469/29360128

[8 67 608] 375 -4992226047/29360128 - (221809355*α)/7340032

[40 -445 4960] 375 -55500918035/58720256 + (185678755*α)/7340032

[12 3 32] 375 1620404641/29360128 - (273089475*α)/7340032

[32 -451 6368] 375 4992226047/29360128 + (221809355*α)/7340032

[46 -157 544] 375 -2671050411/29360128 - (123020405*α)/3670016

[20 -125 800] 375 -20583048875/58720256 + (1440385*α)/262144

[2 2 192] 380 -15711221/28672 - (7803*α)/256

[190 -1330 9312] 380 -11057771/28672 + (34479*α)/1792

[4 2 96] 380 -4973309/28672 - (21681*α)/512

[96 -674 4736] 380 -15340883/28672 - (62667*α)/3584

[6 2 64] 380 -4973309/28672 - (21681*α)/512

[6 14 96] 380 -41413347/28672 - (293301*α)/3584

[270 670 1664] 380 -15108707/28672 - (126117*α)/3584

[6 50 480] 380 -31742301/28672 - (192051*α)/3584

[48 -290 1760] 380 -26078795/28672 - (10071*α)/1792

[48 -674 9472] 380 690197/28672 + (10071*α)/1792

[8 34 192] 380 707373/4096 + (675*α)/128

[60 -190 608] 380 -21353029/28672 - (37071*α)/896

[38 -114 352] 380 1038837/28672 - (4725*α)/256

[38 -190 960] 380 -21353029/28672 - (37071*α)/896

[12 2 32] 380 -15711221/28672 - (7803*α)/256

[32 -162 832] 380 -707373/4096 - (675*α)/128

[32 -418 5472] 380 -25265803/28672 - (116667*α)/1792

[12 98 832] 380 -690197/28672 - (10071*α)/1792

[24 -98 416] 380 -12694299/28672

[24 -290 3520] 380 2326725/28672 + (22275*α)/896

[16 34 96] 380 15108707/28672 + (126117*α)/3584

[120 290 704] 380 -1599419/4096 - (41067*α)/3584

[26 -110 480] 380 27715323/28672 + (22275*α)/896

[26 -162 1024] 380 1632587/4096 - (22383*α)/3584

[26 -318 3904] 380 12694299/28672

[26 -370 5280] 380 31742301/28672 + (192051*α)/3584

[22 -114 608] 380 1038837/28672 - (4725*α)/256

[22 -158 1152] 380 26078795/28672 + (10071*α)/1792

[22 -290 3840] 380 -25265803/28672 - (116667*α)/1792

[22 -334 5088] 380 11057771/28672 - (34479*α)/1792

[20 30 64] 380 -15340883/28672 - (62667*α)/3584

[24 -226 2144] 380 1632587/4096 - (22383*α)/3584

[2 1 192] 383 -10926479401/29360128 - (120632895*α)/3670016

[4 1 96] 383 -20673322093/29360128 - (211253643*α)/7340032

[96 -1345 18848] 383 5616855841/29360128 + (39960729*α)/1835008

[6 1 64] 383 -20673322093/29360128 - (211253643*α)/7340032

[64 -833 10848] 383 -11095508855/29360128 - (38956437*α)/3670016

[48 -577 6944] 383 -2212986031/29360128

[8 65 576] 383 -1301144921/29360128 + (40116627*α)/3670016

[12 1 32] 383 -10926479401/29360128 - (120632895*α)/3670016

[32 -321 3232] 383 -16400758827/29360128 - (121778883*α)/7340032

[34 -447 5888] 383 16405343891/29360128 + (274455189*α)/7340032

[34 -481 6816] 383 1301144921/29360128 - (40116627*α)/3670016

[28 -255 2336] 383 16400758827/29360128 + (121778883*α)/7340032

[14 31 96] 383 -11095508855/29360128 - (38956437*α)/3670016

[16 65 288] 383 1181256065/4194304 + (48169215*α)/3670016

[24 -319 4256] 383 16405343891/29360128 + (274455189*α)/7340032

[56 -193 672] 383 -1181256065/4194304 - (48169215*α)/3670016

[2 0 192] 384 0

[2 8 224] 384 7433/224 - (4373*α)/224

[2 16 320] 384 0

[4 0 96] 384 0

[4 16 160] 384 -1207/112 - (323*α)/16

[4 32 352] 384 0

[6 0 64] 384 0

[6 24 160] 384 -1207/112 - (323*α)/16

[6 48 448] 384 0

[50 -104 224] 384 7433/224 - (4373*α)/224

[50 -304 1856] 384 0

[50 -704 9920] 384 0

[10 24 96] 384 -1207/112 - (323*α)/16

[58 160 448] 384 1207/112 + (323*α)/16

[186 456 1120] 384 -1207/112 - (323*α)/16

[394 912 2112] 384 1207/112 + (323*α)/16

[12 0 32] 384 0

[12 48 224] 384 7433/224 - (4373*α)/224

[12 96 800] 384 0

[30 -96 320] 384 7433/224 - (4373*α)/224

[30 -216 1568] 384 -7433/224 + (4373*α)/224

[30 -336 3776] 384 7433/224 - (4373*α)/224

[30 -456 6944] 384 -7433/224 + (4373*α)/224

[28 -64 160] 384 -1207/112 - (323*α)/16

[28 -176 1120] 384 0

[28 -400 5728] 384 0

[20 -64 224] 384 7433/224 - (4373*α)/224

[20 -144 1056] 384 0

[20 -304 4640] 384 0

[22 32 64] 384 0

[22 -120 672] 384 -1207/112 - (323*α)/16

[22 -208 1984] 384 0

[196 -2549 33152] 391 -21180616335/29360128 - (133421445*α)/7340032

[98 -491 2464] 391 -2053563837/29360128 + (67517199*α)/3670016

[98 -981 9824] 391 -14444053671/29360128 - (116707635*α)/7340032

[8 11 64] 391 2053563837/29360128 - (67517199*α)/3670016

[50 -203 832] 391 31398801387/29360128

[40 -523 6848] 391 -12375935653/29360128 - (62654013*α)/1835008

[10 43 224] 391 47870082409/29360128 + (41479425*α)/7340032

[28 -309 3424] 391 47870082409/29360128 + (41479425*α)/7340032

[44 117 320] 391 -3224026655/4194304 - (19844973*α)/7340032

[26 -395 6016] 391 21180616335/29360128 + (133421445*α)/7340032

[20 -203 2080] 391 -3224026655/4194304 - (19844973*α)/7340032

[22 -117 640] 391 12375935653/29360128 + (62654013*α)/1835008

[22 -139 896] 391 -1842825301/29360128 - (809163*α)/65536

[200 -2201 24224] 399 715877363/2097152 + (1183389*α)/262144

[100 -601 3616] 399 -127712419/2097152 + (10118101*α)/1048576

[106 313 928] 399 -1514435211/2097152 - (1168403*α)/65536

[68 -615 5568] 399 249782307/2097152 + (8775851*α)/1048576

[50 -551 6080] 399 -1110349127/2097152 - (18238923*α)/524288

[50 -601 7232] 399 -1199540053/2097152

[40 -281 1984] 399 1178148737/2097152 + (9655807*α)/1048576

[52 -167 544] 399 1651694495/2097152 + (42234129*α)/1048576

[34 -71 160] 399 -1178148737/2097152 - (9655807*α)/1048576

[34 -377 4192] 399 -1651694495/2097152 - (42234129*α)/1048576

[14 7 32] 399 715877363/2097152 + (1183389*α)/262144

[310 711 1632] 399 1514435211/2097152 + (1168403*α)/65536

[20 -281 3968] 399 -249782307/2097152 - (8775851*α)/1048576

[24 -153 992] 399 -38054025/2097152 - (17989369*α)/524288

[20 89 416] 399 -683152947/2097152 - (4968877*α)/262144

[204 -1837 16544] 407 991820755/58720256 + (8056395*α)/262144

[102 -205 416] 407 1970114557/8388608 + (251063307*α)/7340032

[102 -307 928] 407 -7213437755/58720256 - (307792845*α)/7340032

[68 -749 8256] 407 -80861467165/58720256 - (59089689*α)/3670016

[6 13 96] 407 -73452602091/58720256 - (121790763*α)/7340032

[52 -211 864] 407 63385425997/58720256

[8 19 96] 407 -80861467165/58720256 - (59089689*α)/3670016

[34 -205 1248] 407 9469252915/58720256 + (8290161*α)/458752

[34 -307 2784] 407 32680454325/58720256 + (39181887*α)/1048576

[36 -365 3712] 407 -32680454325/58720256 - (39181887*α)/1048576

[366 845 1952] 407 -7213437755/58720256 - (307792845*α)/7340032

[26 -237 2176] 407 9469252915/58720256 + (8290161*α)/458752

[24 -365 5568] 407 991820755/58720256 + (8056395*α)/262144

[18 77 352] 407 -10976730235/58720256 - (256965237*α)/7340032

[24 -275 3168] 407 -10976730235/58720256 - (256965237*α)/7340032

[206 -618 1856] 412 -28441481/28672 - (117585*α)/1792

[206 -1030 5152] 412 2047305/28672 - (7749*α)/256

[104 -522 2624] 412 -951889/28672 - (31671*α)/3584

[104 -1354 17632] 412 -951889/28672 - (31671*α)/3584

[8 10 64] 412 951889/28672 + (31671*α)/3584

[52 -106 224] 412 26537703/28672 + (42957*α)/896

[52 -470 4256] 412 27346065/28672 + (375327*α)/3584

[52 -522 5248] 412 143527/28672 - (42957*α)/896

[14 6 32] 412 -2047305/28672 + (7749*α)/256

[58 154 416] 412 27346065/28672 + (375327*α)/3584

[338 778 1792] 412 951889/28672 + (31671*α)/3584

[14 118 1024] 412 26537703/28672 + (42957*α)/896

[26 -54 128] 412 27346065/28672 + (375327*α)/3584

[26 -106 448] 412 13340615/28672

[26 -262 2656] 412 27346065/28672 + (375327*α)/3584

[26 -314 3808] 412 41925623/28672 + (31671*α)/1792

[28 -118 512] 412 15244393/28672 + (31671*α)/1792

[28 -202 1472] 412 143527/28672 - (42957*α)/896

[28 -342 4192] 412 -13340615/28672

[28 -426 6496] 412 -28441481/28672 - (117585*α)/1792

[208 -1457 10208] 415 -5234044933/58720256 - (125499861*α)/7340032

[104 -1457 20416] 415 55734889323/58720256 - (136213407*α)/7340032

[110 -335 1024] 415 -2365961443/58720256 - (13058469*α)/1835008

[52 -625 7520] 415 167143944131/58720256

[62 177 512] 415 24768942501/58720256 - (209260935*α)/7340032

[10 15 64] 415 2365961443/58720256 + (13058469*α)/1835008

[26 -79 256] 415 60322660037/58720256 - (447221331*α)/7340032

[22 -49 128] 415 -24768942501/58720256 + (209260935*α)/7340032

[22 -335 5120] 415 5234044933/58720256 + (125499861*α)/7340032

[212 -1061 5312] 423 26668041909/29360128 + (4626771*α)/1835008

[106 -955 8608] 423 170389815/29360128 - (101280573*α)/7340032

[106 -1061 10624] 423 16047802353/29360128 + (51781257*α)/1048576

[72 -219 672] 423 -8843040135/14680064 + (215722179*α)/7340032

[54 -165 512] 423 -2809794207/29360128 - (37592949*α)/7340032

[54 -219 896] 423 -2372674245/29360128

[36 -219 1344] 423 13841730117/14680064 + (338338737*α)/7340032

[12 27 96] 423 8843040135/14680064 - (215722179*α)/7340032

[14 5 32] 423 -26668041909/29360128 - (4626771*α)/1835008

[32 -165 864] 423 -2809794207/29360128 - (37592949*α)/7340032

[148 357 864] 423 -6668813757/29360128 - (88139715*α)/3670016

[24 -219 2016] 423 13841730117/14680064 + (338338737*α)/7340032

[48 -165 576] 423 1232407629/14680064 + (45455373*α)/1835008

[18 27 64] 423 -170389815/29360128 + (101280573*α)/7340032

[216 -649 1952] 431 -29888504439/29360128 - (260077311*α)/7340032

[108 -649 3904] 431 -29937010011/29360128 + (72606699*α)/1835008

[4 9 128] 431 16566682155/29360128 - (26863353*α)/917504

[72 -649 5856] 431 62722411797/29360128 + (31059099*α)/917504

[80 -247 768] 431 57216863471/29360128 + (10385253*α)/7340032

[8 9 64] 431 16566682155/29360128 - (26863353*α)/917504

[54 -649 7808] 431 -20619102027/29360128

[44 -311 2208] 431 8252312539/29360128 + (32722677*α)/1835008

[10 23 96] 431 -57216863471/29360128 - (10385253*α)/7340032

[36 -73 160] 431 -8252312539/29360128 - (32722677*α)/1835008

[50 137 384] 431 -30249720705/29360128 + (208609209*α)/7340032

[38 -119 384] 431 -29091044873/29360128 - (67672449*α)/7340032

[38 -233 1440] 431 -22765202231/29360128 - (184891599*α)/7340032

[30 -457 6976] 431 -29888504439/29360128 - (260077311*α)/7340032

[24 -265 2944] 431 29091044873/29360128 + (67672449*α)/7340032

[18 73 320] 431 -14078411805/29360128 - (35443305*α)/3670016

[22 -201 1856] 431 -22765202231/29360128 - (184891599*α)/7340032

[22 -311 4416] 431 -62722411797/29360128 - (31059099*α)/917504

[24 -247 2560] 431 -30249720705/29360128 + (208609209*α)/7340032

[58 -201 704] 431 14078411805/29360128 + (35443305*α)/3670016

[2 4 224] 432 1388853/448 + (45951*α)/448

[218 652 1952] 432 -135039/112 - (747*α)/16

[6 12 96] 432 1822959/1792 - (89811*α)/1792

[78 228 672] 432 0

[54 -108 224] 432 -135039/112 - (747*α)/16

[54 -324 1952] 432 1388853/448 + (45951*α)/448

[14 4 32] 432 1388853/448 + (45951*α)/448

[14 60 288] 432 0

[54 -180 608] 432 -848697/448 - (25035*α)/448

[14 116 992] 432 -135039/112 - (747*α)/16

[18 36 96] 432 0

[42 108 288] 432 -1822959/1792 + (89811*α)/1792

[26 -84 288] 432 848697/448 + (25035*α)/448

[26 -188 1376] 432 -1388853/448 - (45951*α)/448

[26 -292 3296] 432 0

[26 -396 6048] 432 135039/112 + (747*α)/16

[2 3 224] 439 6057643469/58720256 + (37353555*α)/3670016

[110 -221 448] 439 52817916477/58720256 - (51181713*α)/1835008

[110 -771 5408] 439 52338808211/58720256 + (31870827*α)/3670016

[56 -227 928] 439 -10590568669/58720256

[70 -221 704] 439 10073542413/58720256 + (52774551*α)/3670016

[44 -221 1120] 439 10073542413/58720256 + (52774551*α)/3670016

[56 157 448] 439 16914206107/58720256 - (81458541*α)/7340032

[14 3 32] 439 6057643469/58720256 + (37353555*α)/3670016

[32 -99 320] 439 -115940715/8388608 + (13182885*α)/524288

[50 131 352] 439 -637150437/8388608 + (81061803*α)/1835008

[22 -67 224] 439 -115940715/8388608 + (13182885*α)/524288

[22 -221 2240] 439 -637150437/8388608 + (81061803*α)/1835008

[20 29 64] 439 52338808211/58720256 + (31870827*α)/3670016

[26 -61 160] 439 -16914206107/58720256 + (81458541*α)/7340032

[2 2 224] 444 -42984987/28672 + (449689*α)/3584

[222 -1554 10880] 444 29914923/28672 + (2167*α)/512

[112 -338 1024] 444 3559173/4096 - (50775*α)/896

[112 -1234 13600] 444 13530883/28672 - (885*α)/224

[74 -222 672] 444 -46991611/28672 + (224781*α)/3584

[74 -370 1856] 444 35608283/28672 - (35841*α)/3584

[56 -338 2048] 444 -4539893/28672 + (232429*α)/3584

[56 -786 11040] 444 8530171/28672 - (232429*α)/3584

[8 18 96] 444 -35608283/28672 + (35841*α)/3584

[240 594 1472] 444 10233253/28672 - (283439*α)/3584

[10 14 64] 444 13530883/28672 - (885*α)/224

[46 -142 448] 444 4541589/28672 - (188969*α)/3584

[46 -418 3808] 444 460819/28672 + (225349*α)/1792

[46 -510 5664] 444 50383125/28672 - (72607*α)/512

[12 18 64] 444 -3559173/4096 + (50775*α)/896

[40 -366 3360] 444 -1692021/4096 - (18697*α)/256

[14 2 32] 444 -42984987/28672 + (449689*α)/3584

[14 30 96] 444 46991611/28672 - (224781*α)/3584

[150 366 896] 444 1150075/28672 + (94499*α)/3584

[14 114 960] 444 -8530171/28672 + (232429*α)/3584

[28 -114 480] 444 1995139/28672

[28 -142 736] 444 4541589/28672 - (188969*α)/3584

[28 -338 4096] 444 36449955/28672 - (54315*α)/896

[28 -366 4800] 444 -41299947/28672 + (130311*α)/3584

[30 -66 160] 444 460819/28672 + (225349*α)/1792

[30 -126 544] 444 32459677/28672 - (54315*α)/896

[30 -306 3136] 444 1692021/4096 + (18697*α)/256

[30 -366 4480] 444 -1995139/28672

[24 -174 1280] 444 4539893/28672 - (232429*α)/3584

[24 -366 5600] 444 -29914923/28672 - (2167*α)/512

[20 46 128] 444 -10233253/28672 + (283439*α)/3584

[140 334 800] 444 1150075/28672 + (94499*α)/3584

[2 1 224] 447 80480781943/58720256 + (539254899*α)/7340032

[112 -1569 21984] 447 19815303449/58720256 - (221816969*α)/7340032

[4 33 384] 447 3372001711/58720256 + (5588575*α)/3670016

[76 -991 12928] 447 98744024367/58720256 + (96502919*α)/3670016

[56 -673 8096] 447 -15057817855/58720256

[8 33 192] 447 -4279828063/8388608 - (330332039*α)/7340032

[38 -193 992] 447 4279828063/8388608 + (330332039*α)/7340032

[38 -383 3872] 447 58301623775/58720256 + (66610195*α)/1835008

[14 1 32] 447 80480781943/58720256 + (539254899*α)/7340032

[32 -289 2624] 447 -58301623775/58720256 - (66610195*α)/1835008

[16 33 96] 447 98744024367/58720256 + (96502919*α)/3670016

[22 31 64] 447 -3372001711/58720256 - (5588575*α)/3670016

[22 97 448] 447 -18775207161/58720256 - (497816675*α)/7340032

[2 0 224] 448 0

[2 8 256] 448 -1024

[2 16 352] 448 0

[4 8 128] 448 1024

[116 344 1024] 448 -1024

[8 8 64] 448 1024

[56 -168 512] 448 0

[56 -280 1408] 448 0

[56 -392 2752] 448 1024

[58 -120 256] 448 -1024

[58 -352 2144] 448 0

[58 -816 11488] 448 0

[14 0 32] 448 0

[14 56 256] 448 -1024

[28 -56 128] 448 -1024

[28 -168 1024] 448 1024

[16 8 32] 448 -1024

[16 24 64] 448 -1024

[32 -104 352] 448 -1024

[32 -168 896] 448 0

[32 -296 2752] 448 1024

[32 -360 4064] 448 -1024

[32 -424 5632] 448 0

[22 -72 256] 448 -1024

[22 -336 5152] 448 0

[228 -2965 38560] 455 -228839039/1048576 + (63656901*α)/1048576

[114 -1141 11424] 455 -82841269/32768 - (5762475*α)/131072

[114 -1483 19296] 455 -112110487/65536 - (14655087*α)/131072

[76 -533 3744] 455 -286702533/1048576 - (12508425*α)/1048576

[696 1621 3776] 455 888411099/524288 + (87019515*α)/524288

[58 -757 9888] 455 -36089753/65536 + (11020131*α)/131072

[48 -341 2432] 455 906261751/1048576 - (56047869*α)/1048576

[38 -267 1888] 455 89732545/262144 + (21808899*α)/262144

[38 -533 7488] 455 906261751/1048576 - (56047869*α)/1048576

[40 -85 192] 455 -89732545/262144 - (21808899*α)/262144

[62 -203 672] 455 77371791/524288 + (43990911*α)/524288

[14 21 64] 455 -112110487/65536 - (14655087*α)/131072

[30 -395 5216] 455 -709366331/524288 - (44846595*α)/524288

[28 -427 6528] 455 228839039/1048576 - (63656901*α)/1048576

[18 43 128] 455 -36089753/65536 + (11020131*α)/131072

[24 -341 4864] 455 -286702533/1048576 - (12508425*α)/1048576

[20 85 384] 455 94169579/262144 + (8976285*α)/262144

[24 -299 3744] 455 94169579/262144 + (8976285*α)/262144

[232 -2553 28096] 463 1059975251/4194304 - (340296255*α)/7340032

[116 -697 4192] 463 -37139705079/29360128 - (21456009*α)/3670016

[1054 2457 5728] 463 -13973767561/29360128 + (1538271*α)/524288

[58 -871 13088] 463 -13973767561/29360128 + (1538271*α)/524288

[16 7 32] 463 1059975251/4194304 - (340296255*α)/7340032

[236 -2125 19136] 471 17677051635/58720256 + (141151237*α)/1835008

[118 -237 480] 471 41294841507/58720256 - (157438151*α)/3670016

[118 -1299 14304] 471 65147018493/58720256 + (15839273*α)/3670016

[80 -563 3968] 471 -3414915629/8388608 - (546112761*α)/7340032

[74 211 608] 471 -398593301/58720256 + (174347543*α)/7340032

[10 13 64] 471 65147018493/58720256 + (15839273*α)/3670016

[10 83 736] 471 -590426285/58720256 - (33233877*α)/458752

[40 -563 7936] 471 590426285/58720256 + (33233877*α)/458752

[12 51 256] 471 17496894763/58720256 + (570862623*α)/7340032

[30 -333 3712] 471 17496894763/58720256 + (570862623*α)/7340032

[24 -51 128] 471 398593301/58720256 - (174347543*α)/7340032

[50 -173 608] 471 -148697118981/58720256 - (1308431183*α)/7340032

[26 -371 5312] 471 -3414915629/8388608 - (546112761*α)/7340032

[26 -397 6080] 471 17677051635/58720256 + (141151237*α)/1835008

[238 -714 2144] 476 -6423613/2048 - (1269*α)/256

[238 -1190 5952] 476 4912157/2048 + (29025*α)/256

[4 6 128] 476 -2346769/2048 - (15147*α)/512

[120 -1082 9760] 476 -2346769/2048 - (15147*α)/512

[90 262 768] 476 3304515/2048 + (25515*α)/256

[738 1718 4000] 476 5163971/2048 + (42363*α)/256

[6 26 192] 476 3987685/2048 + (4779*α)/128

[90 -278 864] 476 3987685/2048 + (4779*α)/128

[60 -122 256] 476 1730075/2048 - (6939*α)/128

[60 -422 2976] 476 835313/2048 + (70659*α)/512

[60 -602 6048] 476 218619/2048 + (6939*α)/128

[60 -902 13568] 476 2346769/2048 + (15147*α)/512

[10 22 96] 476 -3987685/2048 - (4779*α)/128

[210 518 1280] 476 2374787/2048 + (17091*α)/256

[10 42 224] 476 -4626295/2048 - (43983*α)/512

[62 -198 640] 476 -6485751/2048 - (77679*α)/512

[40 -122 384] 476 123279/2048 + (24381*α)/512

[40 -442 4896] 476 6485751/2048 + (77679*α)/512

[12 26 96] 476 3987685/2048 + (4779*α)/128

[180 442 1088] 476 -2374787/2048 - (17091*α)/256

[34 -102 320] 476 1736177/2048 + (9315*α)/512

[34 -170 864] 476 4626295/2048 + (43983*α)/512

[30 -122 512] 476 974347/2048

[30 -182 1120] 476 835313/2048 + (70659*α)/512

[30 -362 4384] 476 7616579/2048 + (15147*α)/256

[30 -422 5952] 476 835313/2048 + (70659*α)/512

[16 6 32] 476 -4912157/2048 - (29025*α)/256

[32 -134 576] 476 5667885/2048 + (15147*α)/256

[32 -390 4768] 476 -974347/2048

[18 26 64] 476 2346769/2048 + (15147*α)/512

[30 -278 2592] 476 835313/2048 + (70659*α)/512

[30 -458 7008] 476 -6423613/2048 - (1269*α)/256

[24 -122 640] 476 123279/2048 + (24381*α)/512

[24 -314 4128] 476 -1736177/2048 - (9315*α)/512

[48 122 320] 476 -1445059/2048 - (8667*α)/256

[248 570 1312] 476 -3304515/2048 - (25515*α)/256

[24 -58 160] 476 2374787/2048 + (17091*α)/256

[24 -250 2624] 476 2374787/2048 + (17091*α)/256

[240 -1681 11776] 479 809332139/524288 - (625074921*α)/7340032

[120 -1681 23552] 479 5446702313/1835008 - (113729319*α)/7340032

[4 17 192] 479 2159864555/3670016 + (165523743*α)/1048576

[80 -401 2016] 479 268957783/458752 - (784128843*α)/7340032

[6 49 480] 479 -332096729/262144 - (633751857*α)/7340032

[8 17 96] 479 -268957783/458752 + (784128843*α)/7340032

[48 -145 448] 479 -5504058179/3670016 + (63664785*α)/1048576

[10 81 704] 479 -6108081191/7340032 - (19221543*α)/458752

[40 -401 4032] 479 -18568819019/7340032 - (70393563*α)/524288

[54 -175 576] 479 -2181303527/7340032 - (3249639*α)/65536

[12 17 64] 479 2159864555/3670016 + (165523743*α)/1048576

[42 -593 8384] 479 6108081191/7340032 + (19221543*α)/458752

[36 -401 4480] 479 2181303527/7340032 + (3249639*α)/65536

[178 433 1056] 479 14830168623/3670016 + (124921089*α)/7340032

[30 -271 2464] 479 18568819019/7340032 + (70393563*α)/524288

[28 -145 768] 479 -5504058179/3670016 + (63664785*α)/1048576

[56 145 384] 479 4634671565/3670016 - (431589843*α)/7340032

[24 -145 896] 479 -4634671565/3670016 + (431589843*α)/7340032

[20 81 352] 479 -438146159/7340032 + (5418063*α)/131072

[28 -401 5760] 479 332096729/262144 + (633751857*α)/7340032

[168 401 960] 479 14830168623/3670016 + (124921089*α)/7340032

[24 -367 5632] 479 -809332139/524288 + (625074921*α)/7340032

[60 -209 736] 479 438146159/7340032 - (5418063*α)/131072

[244 -1221 6112] 487 148599391169/58720256 + (138274047*α)/3670016

[4 5 128] 487 -100216337497/58720256 + (451305243*α)/7340032

[122 -1221 12224] 487 1925168711/8388608 - (92181645*α)/1835008

[62 -933 14048] 487 100216337497/58720256 - (451305243*α)/7340032

[16 5 32] 487 -148599391169/58720256 - (138274047*α)/3670016

[248 -745 2240] 495 -77815313729/58720256 + (6692115*α)/1048576

[124 -745 4480] 495 -177200305393/58720256 - (41915775*α)/1048576

[504 1257 3136] 495 21597908305/58720256 + (189801429*α)/7340032

[6 9 96] 495 -632370483/7340032 - (16226829*α)/917504

[62 -311 1568] 495 -81375714871/58720256 + (61483965*α)/917504

[52 -681 8928] 495 124613492375/58720256 + (126461469*α)/1835008

[42 -87 192] 495 434975589/7340032 + (6531165*α)/458752

[42 -297 2112] 495 -434975589/7340032 - (6531165*α)/458752

[36 -471 6176] 495 -145107772807/58720256 - (556005117*α)/3670016

[56 151 416] 495 66308651671/58720256 - (129333291*α)/1835008

[16 23 64] 495 -21597908305/58720256 - (189801429*α)/7340032

[28 -87 288] 495 -107895627359/58720256 + (578227095*α)/7340032

[142 343 832] 495 31329844703/58720256 + (344411673*α)/7340032

[18 9 32] 495 77815313729/58720256 - (6692115*α)/1048576

[26 -265 2720] 495 66308651671/58720256 - (129333291*α)/1835008

[26 -343 4544] 495 -145107772807/58720256 - (556005117*α)/3670016

[28 -151 832] 495 -124613492375/58720256 - (126461469*α)/1835008

[24 -105 480] 495 -2028516453/7340032 - (30458205*α)/458752

[2 4 256] 496 1557 - (972*α)/7

[250 748 2240] 496 2629/7 + (324*α)/7

[4 4 128] 496 -6764/7 + (324*α)/7

[124 -372 1120] 496 -354911/224 + (23139*α)/224

[124 -620 3104] 496 77985/224 + (2403*α)/224

[124 -868 6080] 496 6764/7 - (324*α)/7

[62 -124 256] 496 2629/7 + (324*α)/7

[62 -372 2240] 496 1557 - (972*α)/7

[8 4 64] 496 -6764/7 + (324*α)/7

[64 -196 608] 496 -138463/224 + (12771*α)/224

[64 -452 3200] 496 -6764/7 + (324*α)/7

[64 -708 7840] 496 138463/224 - (12771*α)/224

[10 12 64] 496 -77985/224 - (2403*α)/224

[50 -252 1280] 496 -138463/224 + (12771*α)/224

[50 -452 4096] 496 354911/224 - (23139*α)/224

[50 -652 8512] 496 -138463/224 + (12771*α)/224

[14 20 64] 496 354911/224 - (23139*α)/224

[38 -196 1024] 496 -138463/224 + (12771*α)/224

[38 -348 3200] 496 -77985/224 - (2403*α)/224

[38 -500 6592] 496 -138463/224 + (12771*α)/224

[16 4 32] 496 1557 - (972*α)/7

[32 -68 160] 496 354911/224 - (23139*α)/224

[32 -196 1216] 496 -6764/7 + (324*α)/7

[32 -324 3296] 496 77985/224 + (2403*α)/224

[32 -452 6400] 496 -6764/7 + (324*α)/7

[16 68 320] 496 0

[56 -188 640] 496 -13528/7 + (648*α)/7

[20 28 64] 496 6764/7 - (324*α)/7

[28 -92 320] 496 13528/7 - (648*α)/7

[28 -148 800] 496 138463/224 - (12771*α)/224

[28 -260 2432] 496 -6764/7 + (324*α)/7

[28 -316 3584] 496 0

[28 -372 4960] 496 -138463/224 + (12771*α)/224

[28 -428 6560] 496 -2629/7 - (324*α)/7

A nonlift newform in S13(K(16))−

A nonlift newform in S₁₃(K(16))⁻