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

A nonlift newform in S₁₄(K(16))⁺

(Filename: eigs/eig-plus-14-16-1.html)

FORMULA FOR THE EIGENFORM f
with 3¹⁴⁻³λ₃ = 517320

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=1¹⁴ b_i Grit(φ_i) + Σ_i=0⁵⁹ c_1,i T(3)ⁱ g₁ + Σ_i=0⁵⁹ c_2,i T(3)ⁱ g₂ + Σ_i=0⁵⁹ c_4,i T(3)ⁱ g₄
where g₁, g₂, g₄ are the Borcherds products that helped span the space S₁₄(K(16))⁺ and where φ_i are jacobi forms in J_14,16^cusp given by the following table.

φ₁	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4)\|W₂
φ₂	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2)\|W₂
φ₃	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,6)\|W₃
φ₄	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4)\|W₃
φ₅	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,6)\|W₃
φ₆	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4)\|W₃
φ₇	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3)\|W₃
φ₈	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3)\|W₃
φ₉	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,10)\|W₅
φ₁₀	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,7,8)\|W₅
φ₁₁	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,5,8)\|W₅
φ₁₂	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,5,5,8)\|W₅
φ₁₃	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,5,6,6)\|W₅
φ₁₄	TB(14;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,5,5)\|W₅

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

b₁	13451637094988488653475539877569329978630462095205413867340175966847469658042514337483365710389930856203788895380011174240622446335380272747294051297379373901740491575552447523695768413832297897867098059053588938773816197659671499087598029606605098803814619409254251514223947/1835720330127834781065464639395637119408265616861591700557106629762773393693970719462192163491985666921206367560433417919664004536901761004778803886054023842536031972820308619792686938395722157810805301758491900618895972781318334813673881600000
b₂	-2146899613547614840583368588581669829362729983555878024022633869133063335157319770796295934639531005576928718941337889842100256578003218682633951948603512790685593887560280125492455514024958423717403055743623765225012885072248237428317268435116131387548372356433838282033629/241542148701030892245455873604689094658982318008104171125935082863522814959732989402920021512103377226474522047425449726271579544329179079576158406059739979281056838528987976288511439262595020764579644968222618502486312208068201949167616000000
b₃	5464211281581761325154738703548251272979695216343940879146146624342191196416848355564154219123637533838684083829327473195321763637672631448075358568306001486272878092780123233857040734476255504735180471442363116207708171325655593701270251307684082716784709543256387886954673/458930082531958695266366159848909279852066404215397925139276657440693348423492679865548040872996416730301591890108354479916001134225440251194700971513505960634007993205077154948171734598930539452701325439622975154723993195329583703418470400000
b₄	1008292318587433921969927032859712323577259308524241067873688421850111271809672460753709972150986157011323931826596208993539160145859249794259218603456138873799840259015624818330588193041730693733220685217287510726329686073289066475412848832519484434681265587010700671662889/84293280465053637906067253849799663646297910978338394413336528917678370118600696301835354446060566338218659734917861026923347147102631882872496096808603135626654529364197844786398890028374997042332896509318505640663590586897270476138086400000
b₅	3591021442969173253430084198384895660600139760093138063330034333023230719676782446433938763172981609851862938696780683549536141060056630683428772285945293144801836264800659221193831388837394436945400840747669759617874706633029950178001008588481817914148264693915955305834333/231609574361923079854053949830290664598239119884406429509541490671004119765127146848033590720951462648937251981923842447808075338767979192191718247305881512843331136757702489413096015591983636733138986670463931386496220864932687102659788800000
b₆	2460514068311809199354329219665487626275940595750914044635216480742111016509584370763943640557848816768218011470405101602525484216729329840625845172659064942263470066409645854112886582256782897101720910865958356104520886720314035242558728204163214716604811305700448186814572357/247822244567257695443837726318411011120115858276314879575209395017974408148686047127395942071418065034362859620658511419154640612481737735645138524617293218742364316330741663672012736683422491304458715737396406583550956325477975199845974016000000
b₇	1537422136699131312285453624109631430431746983360542401265593727609721840520281984229892671026869314033664412132784491395804922815265428189205011938244982694856991062186828469113732711746402861274489325836523742961981340367076312714415064427820823494062690199062643943869398977/53104766692983791880822369925373788097167683916353188480402013218137373174718438670156273301018156793077755632998252446961708702674658086209672540989419975444792353499444642215431300717876248136669724800870658553618062069745280399966994432000000
b₈	165345091928969330756835497388846389507912754563637843751236719164622493006440955072423634428413589599139540915888303965425327059430227617546917508165103527235109836431300463135646389711129149107938177272824691572583613143864316011841240142635738671419668517253300299233647293/24782224456725769544383772631841101112011585827631487957520939501797440814868604712739594207141806503436285962065851141915464061248173773564513852461729321874236431633074166367201273668342249130445871573739640658355095632547797519984597401600000
b₉	484117600985525390384484227850714099482226989116409990060941749262921741677159484441457187472851145508292975507524854365720401270462759502872920612803958893347252150400992356282996067961288790510087901898814522382083941209430212760346030038757067748987358539907497978222517529/1147325206329896738165915399622273199630166010538494812848191643601733371058731699663870102182491041825753979725270886199790002835563600627986752428783764901585019983012692887370429336497326348631753313599057437886809982988323959258546176000000000
b₁₀	-356930946161105411309375873538928980135046055252777502141216581911981829622557635527173720188760988379600623945084478649020049696503180733668638075824045680950736313635125794672245266974506154467719182327929059334386750550022681179587336919918067384245376739651142212809/57366260316494836908295769981113659981508300526924740642409582180086668552936584983193505109124552091287698986263544309989500141778180031399337621439188245079250999150634644368521466824866317431587665679952871894340499149416197962927308800000
b₁₁	-31129419129266298125304842331887250708201271247839606908420957058918094995660218769262081041459180808110117256307077625683277329317027527412549788058348056431650152617093325652941512607137156800000241608126430075555028482070438523643605635355417313468594659984980552690361801/286831301582474184541478849905568299907541502634623703212047910900433342764682924915967525545622760456438494931317721549947500708890900156996688107195941225396254995753173221842607334124331587157938328399764359471702495747080989814636544000000000
b₁₂	-2620456051615526889131364130425951423212916430590006557109194997355881597599281035621230207223705689196683187668237531418389032017515543687438997141633008352363658252823742074470139544621511179750784156664718776231497447081641432259499811040310110908080396127691006781488319/22946504126597934763318307992445463992603320210769896256963832872034667421174633993277402043649820836515079594505417723995800056711272012559735048575675298031700399660253857747408586729946526972635066271981148757736199659766479185170923520000000
b₁₃	286586601842625152544514210598989844320613371015817312460691707173721473462575179437568328968123330157444705479373545448089305440801767492247000255413006967404319891716266658879571469031078092205323255307402781850486164151782332769643361271918405427471518017221789402622009677/573662603164948369082957699811136599815083005269247406424095821800866685529365849831935051091245520912876989862635443099895001417781800313993376214391882450792509991506346443685214668248663174315876656799528718943404991494161979629273088000000000
b₁₄	1686005617288245452409088738067433558201332144140015725981755058061789868991384295965681276392403693970905665787379293474971137952980545996742448118218334319025763356904445793653004410301705611779640239328929683058892561914298581908703303232873393103306664657593353682567477/5411911350612720463046770752935250941651726464804220815321658696234591372918545753131462746143825668989405564741843802829198126582847172773522417116904551422570848976474966449860515738194935606753553366033289801352877278246811128578048000000000
c_1,0	167320266375099083011697154296966498743560434556413853893112366473281529210753123842444528764761038998575710416470016/21820329644864604744119012749759518090272598684004286263952964260623527380165595827857541513518996514718663025
c_1,1	-12493132845274341470677324735682751534475184727225964381458541712414956346572409276797162491053788311952813415739444546920448/785672062833094025873765423648259856153543554070699033041552611177821491849379013756065479190908234082478936309935625
c_1,2	-2389357559495654121552501700937984222014257524243477777573102305666235949350204900220141625768983463797015199538849442294552234/27498522199158290905581789827689094965374024392474466156454341391223752214728265481462291771681788192886762770847746875
c_1,3	1010144124220962503401347087382073957776156551805630719987274768340806149138508565228460920540179684228718435511975764395106055453/6159668972611457162850320921402357272243781463914280419045772471634120496099131467847553356856720555206634860669895300000
c_1,4	93887519680692497394328656417549312682977240616880736543154725636835268104080287566698730403991639464341514676432270690766142159879289/275953169972993280895694377278825605796521409583359762773250606729208598225241089759570390387181080873257241758011309440000000
c_1,5	-6097356132278593477107955878934592195898818966988162081766147998531375558981906065208439087341404231637576714386290835169007744714441671/8830501439135784988662220072922419385488685106667512408744019415334675143207714872306252492389794587944231736256361902080000000
c_1,6	-16385932734649612424619620857021974149450006944444163344930216101986175358033935130314546769256887977791966587974652845058927596257018079/29744846952878433646020109719317623193225044569827410218927223293758905745541776411978955763839308085706885848442482196480000000
c_1,7	3818658122380493337119349479295195581837269231626475361260252364538086737859458747646367897832370509082669922031695185817905891070918396549/2583552421050012522397175244192159271640118156922152201872535966086487813327057151211886443487757045158540942264718453637120000000
c_1,8	1061268409809450812766870194986833812416224814302478611306612400365171824417592237421606789620691431629512940321679867793320007421514611368989/4629725938521622440135738037592349414779091737204496745755584451226986161482086414971700506730060624924105368538375468917719040000000
c_1,9	-1356564015803297062311641765852385904601157091605691112800919621827281230092813694586932767778403242364539769351386566164027381628517708039637/800817459636172530185641174070028006880707759948885923590155148320343552256360893400510357920875351338223631314746027056037888000000
c_1,10	132978773311692221910006121867956428564983769354356729858743171518721635896610979764786060488028104748773842047194570834474505797942254677967/383129090112020476701066409446788896131710840382851516700639928726073527505871705910055060521382097941028276821019595940823040000000
c_1,11	11401779502089426594757457849810411680231165258215390546386697651992649862605118020480762330005291292974907609126781108543402191128621495539613661/10836204253819751722740561715416150401677234146051210668922785092700420181388929117556620157466473325536648908304677668963986964480000000
c_1,12	-449035072721387026369060884019841784874456903005668625607435429254098412872058380454826890230836796885802467626917040957371116322756120064842269721/970923901142249754357554329701287075990280179486188475935481544305957648252448048933073166108996009968083742184099119139173232017408000000
c_1,13	-56062260974193234284071756623203458484395779170549151264836689123194216959644802339308742298913812282646942871851777148531998749986458238783019899091/155347824182759960697208692752205932158444828717790156149677047088953223720391687829291706577439361594893398749455859062267717122785280000000
c_1,14	298967119574515363410550539010398022130519137081998503890097955566466700048884417089380354204737109063971422954025334208594658852357343318338266488029/1242782593462079685577669542017647457267558629742321249197416376711625789763133502634333652619514892759147189995646872498141736982282240000000
c_1,15	2637518804716513714103477488853518825226770329938817905589188003084075455317567208526300602778984032456635301588336952687541952871890074989488815272211/39769042990786549938485425344564718632561876151754279974317324054772025272420272084298676883824476568292710079860699919940535583433031680000000
c_1,16	-356901191290510573412580227683851549119120289946316071538638507633196021400768749031382599675095343715657429746376077750591427485272880151366195294278189/5090437502820678392126134444104283984967920147424547836712617479010819234869794826790230641129533000741466890222169589752388554679428055040000000
c_1,17	-8218240397735669117459128302852360723020930926988657076423307791852387366711553221740853376423044101241390270530306381463156292795765969759072871368989/1714673685160649563663540023277232500199720470711426639734776413982591742271930889024077689643632168670809899864309756548172986839386292224000000
c_1,18	4798765863978053859869656939817310159237827274079245559754470045400559681799483958716652672105674693009907233035362120384879718855746284629792460356131499/372329143063455333824082976483056200043367873640195498913837164179077064036190707330942584036902985197090149684821547136174705713695309168640000000
c_1,19	-41350398273021571402905358630651783931659246722045035536386560908242680661408780296081444036173073282500966997451750863563655831361123775156914528750054333/83401728046213994776594586732204588809714403695403791756699524776113262344106718442131138824266268684148193529400026558503134079867749253775360000000
c_1,20	-8502101506590761932376750880683319544418068755769707069139164824870989590718585261498284999588653686668413453211913008717888400506822498955123549904640222819/5337710594957695665702053550861093683821721836505842672428769585671248790022829980296392884753041195785484385881601699744200581111535952241623040000000
c_1,21	2473699719847714312310303678553583497365149405451502122476415971941264396653730120011523201723738049159860457159131170891905348903492109102339723827806268377/15527885367149660118405973966141363443845008978926087774338238794679996480066414488134961119281574387739590940746477671983128963233559133793812480000000
c_1,22	12473188431476625302591275847307287066958025976177659037372546970790883892498624849230831605513011068707331684061512609052947937553048324986250255730394579/90541605639356618766215591639308241655072938652630249413050955071020387638871221505160123144498976021805194989775380011563434187950782121246720000000
c_1,23	-103005145823387592047285141991592024563195637061366322549443303191420741943648043943547931907285794162378378703183312933652015684873507190637596852700842652839/5465815649236680361678902836081759932233443160581982896567060055727358760983377899823506313987114184484336011142760140538061395058212815095421992960000000
c_1,24	-219971239322906121876592019744788245204346547563264467067642901091960666917300581621534596187019314842398596560293074179513170898738339197051749205171573169/25721485408172613466724248640384752622275026638032860689727341438716982404627660705051794418762890279926287111260047720179112447332766188684338790400000
c_1,25	943293936479503560891693717075454363270724657119873273916680311816943791685547029961337442108421829760622586009896891975774979254139733083627617917919454860991/699624403102295086294899563018465271325880724554493810760583687133101921405872371177408808190350615613995009426273297988871858567451240332214015098880000000
c_1,26	10393343666789043781336112112448202966813371769870093862337369713895264389612950653890154492699088691755619788444375243662277275676118218362025030625638713227/26908630888549811011342290885325587358687720175172838875407064889734689284841245045284954161167331369769038824087434538033533021825047705085154426880000000
c_1,27	-361182316446752534588118925677773759664629171682074073486351640898773161697066195645523113507918114722176148560973212101269045369229787016018606523852770659157/5596995224818360690359196504147722170607045796435950486084669497064815371246978969419270465522804924911960075410186383910974868539609922657712120791040000000
c_1,28	-43825561265059954716041469883967057573843219259020326187230002420820530176139786874782140317843257502037813029821642862442657088899983130642898582133198558341/3444304753734375809451813233321675181912028182422123376052104305886040228459679365796474132629418415330436969483191620868292226793606106250899766640640000000
c_1,29	235740099677187034138286284530399008735473165908493930672171832920057264426146638128594845013614314317727674661287428696283372173855284465496801321689688669351/110217752119500025902458023466293605821184901837507948033667337788353287310709739705487172244141389290573983023462131867785351257395395400028792532500480000000
c_1,30	868796325049588023666670122708504819271135058474239719018590561130786340476502960299829802386293673172839170232585105632351197583771851079939647571898624152681/2865661555107000673463908610123633751350807447775206648875350782497185470078453232342666478347676121554923558610015428562419132692280280400748605845012480000000
c_1,31	-454457015814181587373247810565120256159696599340227816818804742605705796825199278663656520918981330332941983808069136847673191973084980500777852235936289541457/9170116976342402155084507552395628004322583832880661276401122503990993504251050343496532730712563588975755387552049371399741224615296897282395538704039936000000
c_1,32	-7336137007023621444220833591311686575832133947695000689807713886912157580228429306630168174758540257349897754901974709545284812262119892691697015753645762523/1432830777553500336731954305061816875675403723887603324437675391248592735039226616171333239173838060777461779305007714281209566346140140200374302922506240000000
c_1,33	668425370317138934228131631204753964519752300984406727868200244669982584721432321951175012595083318226536226443425384243266345935566145974277284582754132063077/838410694979876768464869261933314560395207664720517602413816914650605120388667459976825849665148670992069064004758799670833483393398573465819020681512222720000000
c_1,34	15096335936193084244884009969628305687548629605527646037077208217924764700809943267310322451516113510515458531664204657789749336692656429137543631284302959309/255168472385179886054525427544921822728976245784505357256379060980618949683507487819033954245914812910629715131883112943297147119730000620031875859590676480000000
c_1,35	-74163527765387474273716273753690324339105597043999821367689771887227353095305117733649021833701679402019752997664399248876531492479300382444609795341176004963/8536545257976927097096850666957384614933023495336179224577044949169797589411886865218590469317877377373794106230271414830304558187330929833793665120851722240000000
c_1,36	-10178292599170068602203833675911219399439868204491600085031251586824254542886374370767181683438383016466946583783584632999674273879983383351652343804333839683/23114337929291371832139164882838456803510955925833346823470152477752067319022955204284183424614560283350580964561965677078978496014926825396118231711844663296000000
c_1,37	55200234097515613124717374668508568454309365661732205428714793783495497833714252456773502915792503543587768031411524825865710936789946439803197043649963351931/907128733828793460582065338798188493420807326900629460241847493466496226859768808017190594777326139422060535967714879402344816447378260317432564565295035842560000000
c_1,38	180933395748604595807654858901855170448243124369033203062336829224123676325296229514120245903992418402126728556879886293692102731946590924879956303018677484767/96155645785852106821698925912607980302605576651466722785635834307448600047135493649822203046396570778738416812577777216648550543422095593647851843921273799311360000000
c_1,39	-377693130053434201985784300626137841025238210199403063756172228377154186424018245025300605988514035067489299775574760501013306079415687737262916353280507345159/1538490332573633709147182814601727684841689226423467564570173348919177600754167898397155248742345132459814669001244435466376808694753529498365629502740380788981760000000
c_1,40	-1522145014384248821097379947920333293655841056342131620667923004376866866161968102176282836336092566209767930438035076305049759609756545361177351668452028789/439568666449609631184909375600493624240482636120990732734335242548336457358333685256330071069241466417089905428926981561821945341358151285247322715068680225423360000000
c_1,41	84554224792451089968936207473892531191988484041341985013001115226199070159922911068116016183264280284215039063438883556666870418811396281309653281910088285947/196926762569425114770839400269021143659736220982203848264982188661654732896533490994835871839020176954856277632159287739696231512928451775790800576350768740989665280000000
c_1,42	0
c_1,43	0
c_1,44	0
c_1,45	0
c_1,46	0
c_1,47	0
c_1,48	0
c_1,49	0
c_1,50	0
c_1,51	0
c_1,52	0
c_1,53	0
c_1,54	0
c_1,55	0
c_1,56	0
c_1,57	0
c_1,58	0
c_1,59	0
c_2,0	0
c_2,1	0
c_2,2	0
c_2,3	0
c_2,4	0
c_2,5	0
c_2,6	0
c_2,7	0
c_2,8	0
c_2,9	0
c_2,10	0
c_2,11	0
c_2,12	0
c_2,13	0
c_2,14	0
c_2,15	0
c_2,16	0
c_2,17	0
c_2,18	0
c_2,19	0
c_2,20	0
c_2,21	0
c_2,22	0
c_2,23	0
c_2,24	0
c_2,25	0
c_2,26	0
c_2,27	0
c_2,28	0
c_2,29	0
c_2,30	0
c_2,31	0
c_2,32	0
c_2,33	0
c_2,34	0
c_2,35	0
c_2,36	0
c_2,37	0
c_2,38	0
c_2,39	0
c_2,40	0
c_2,41	0
c_2,42	0
c_2,43	0
c_2,44	0
c_2,45	0
c_2,46	0
c_2,47	0
c_2,48	0
c_2,49	0
c_2,50	0
c_2,51	0
c_2,52	0
c_2,53	0
c_2,54	0
c_2,55	0
c_2,56	0
c_2,57	0
c_2,58	0
c_2,59	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
c_4,46	0
c_4,47	0
c_4,48	0
c_4,49	0
c_4,50	0
c_4,51	0
c_4,52	0
c_4,53	0
c_4,54	0
c_4,55	0
c_4,56	0
c_4,57	0
c_4,58	0
c_4,59	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

[8 -89 992] 15 -161

[4 -25 160] 15 -1

[12 -109 992] 23 2517

[6 -13 32] 23 2517

[6 -19 64] 23 1653

[14 -42 128] 28 -4096

[14 -70 352] 28 -4096

[8 -42 224] 28 -4096

[8 -106 1408] 28 -4096

[16 -113 800] 31 -2518

[8 -113 1600] 31 -2518

[14 -47 160] 31 -5750

[20 -101 512] 39 -14451

[10 -91 832] 39 -47763

[10 -101 1024] 39 -47763

[8 -27 96] 39 8877

[24 -73 224] 47 -62946

[12 -73 448] 47 45246

[4 9 32] 47 -62946

[8 -73 672] 47 45246

[16 -55 192] 47 -60834

[2 4 32] 48 0

[26 76 224] 48 0

[6 12 32] 48 0

[14 36 96] 48 0

[2 3 32] 55 -158881

[14 -29 64] 55 359935

[14 -99 704] 55 359935

[8 -35 160] 55 434431

[2 2 32] 60 -1306624

[30 -210 1472] 60 4096

[16 -50 160] 60 659456

[16 -178 1984] 60 -651264

[10 -30 96] 60 1970176

[10 -50 256] 60 659456

[8 -50 320] 60 1314816

[8 -114 1632] 60 4096

[2 1 32] 63 173493

[16 -225 3168] 63 -312171

[4 33 288] 63 -312171

[12 -159 2112] 63 517320

[8 -97 1184] 63 -1098507

[2 0 32] 64 2621440

[2 8 64] 64 -1310720

[2 16 160] 64 0

[4 8 32] 64 -1310720

[20 56 160] 64 1310720

[10 -24 64] 64 1310720

[10 -64 416] 64 -2621440

[10 -144 2080] 64 0

[36 -469 6112] 71 -1784043

[18 -181 1824] 71 -1160043

[18 -235 3072] 71 1199829

[12 -85 608] 71 -1160043

[120 277 640] 71 -1784043

[10 -43 192] 71 -242187

[10 -53 288] 71 1199829

[40 -441 4864] 79 -7048798

[20 -121 736] 79 802626

[190 441 1024] 79 -7048798

[10 -71 512] 79 802626

[10 -121 1472] 79 6056386

[44 -397 3584] 87 -1230985

[22 -45 96] 87 -509705

[22 -243 2688] 87 -2419337

[16 -115 832] 87 -509705

[12 -51 224] 87 -8198953

[134 307 704] 87 -1230985

[46 -138 416] 92 -13848576

[46 -230 1152] 92 -13848576

[4 6 32] 92 -13848576

[24 -218 1984] 92 -6770688

[26 70 192] 92 -6770688

[162 374 864] 92 -13848576

[6 26 128] 92 -6770688

[26 -86 288] 92 307200

[12 -26 64] 92 -6770688

[12 -38 128] 92 -13848576

[12 -122 1248] 92 -6770688

[12 -134 1504] 92 -6770688

[48 -337 2368] 95 3078135

[24 -337 4736] 95 1624503

[4 17 96] 95 -634473

[16 -81 416] 95 -634473

[6 49 416] 95 1624503

[12 -145 1760] 95 -5997705

[60 145 352] 95 3525015

[10 15 32] 95 3078135

[52 -261 1312] 103 -22508367

[4 5 32] 103 -22508367

[26 -261 2624] 103 17087793

[14 -59 256] 103 17043793

[14 -101 736] 103 17087793

[56 -169 512] 111 -29716743

[28 -169 1024] 111 -16263399

[120 297 736] 111 10167225

[6 9 32] 111 -29716743

[14 -169 2048] 111 5870169

[14 -183 2400] 111 54275769

[12 -87 640] 111 -16263399

[10 23 64] 111 10167225

[2 4 64] 112 0

[58 172 512] 112 0

[4 4 32] 112 0

[28 -84 256] 112 0

[28 -140 704] 112 0

[28 -196 1376] 112 0

[14 -28 64] 112 0

[14 -84 512] 112 0

[8 12 32] 112 0

[16 -84 448] 112 0

[16 -148 1376] 112 0

[16 -212 2816] 112 0

[2 3 64] 119 -4222746

[30 -61 128] 119 -54563994

[30 -451 6784] 119 -4222746

[20 -61 192] 119 61687686

[90 221 544] 119 22170726

[16 -67 288] 119 -21690426

[8 67 576] 119 -54563994

[12 -61 320] 119 61687686

[24 61 160] 119 48885894

[12 -125 1312] 119 22170726

[2 2 64] 124 -2924544

[62 -434 3040] 124 -2924544

[4 2 32] 124 -2924544

[32 -226 1600] 124 23552000

[16 -98 608] 124 23552000

[16 -226 3200] 124 23552000

[8 34 160] 124 23552000

[28 -94 320] 124 -2924544

[10 14 32] 124 -2924544

[14 -46 160] 124 50028544

[14 -130 1216] 124 23552000

[14 -158 1792] 124 23552000

[2 1 64] 127 33842856

[4 1 32] 127 33842856

[32 -449 6304] 127 36628328

[16 -193 2336] 127 -18126136

[8 65 544] 127 36628328

[2 0 64] 128 36175872

[2 8 96] 128 -36175872

[2 16 192] 128 36175872

[4 0 32] 128 36175872

[4 16 96] 128 0

[4 32 288] 128 -36175872

[6 8 32] 128 -36175872

[22 -112 576] 128 0

[22 -200 1824] 128 36175872

[22 -288 3776] 128 0

[18 -40 96] 128 36175872

[18 -112 704] 128 -36175872

[18 -256 3648] 128 -36175872

[12 16 32] 128 36175872

[12 -64 352] 128 0

[12 -112 1056] 128 -36175872

[68 -885 11520] 135 87430140

[34 -171 864] 135 -8834244

[34 -341 3424] 135 46836060

[24 -267 2976] 135 -82757079

[8 11 32] 135 87430140

[18 -75 320] 135 75103356

[16 -117 864] 135 46836060

[12 -75 480] 135 85044681

[72 -793 8736] 143 133586301

[36 -217 1312] 143 6413085

[42 121 352] 143 6838077

[6 7 32] 143 133586301

[6 25 128] 143 -2358243

[18 -199 2208] 143 -2358243

[18 -217 2624] 143 -124131651

[12 -25 64] 143 6838077

[14 -89 576] 143 -137974563

[14 -103 768] 143 6413085

[76 -685 6176] 151 123930223

[38 -77 160] 151 99953967

[38 -115 352] 151 -121963313

[20 -83 352] 151 22364495

[8 19 64] 151 -121963313

[10 13 32] 151 123930223

[10 83 704] 151 99953967

[78 -234 704] 156 291188736

[78 -390 1952] 156 564080640

[40 -202 1024] 156 332083200

[40 -522 6816] 156 59191296

[6 6 32] 156 564080640

[26 -182 1280] 156 100085760

[8 10 32] 156 291188736

[20 -42 96] 156 100085760

[20 -182 1664] 156 -172806144

[20 -202 2048] 156 -172806144

[10 22 64] 156 59191296

[82 198 480] 156 -213700608

[10 42 192] 156 -36360192

[30 -102 352] 156 -500355072

[16 -54 192] 156 427634688

[16 -182 2080] 156 -36360192

[80 -561 3936] 159 -174580371

[40 -561 7872] 159 -131281491

[46 -143 448] 159 -102525651

[28 -143 736] 159 -102525651

[20 -241 2912] 159 314655597

[30 81 224] 159 -102867315

[16 -49 160] 159 512806221

[10 81 672] 159 -131281491

[12 15 32] 159 -174580371

[14 -143 1472] 159 -102867315

[84 -421 2112] 167 126000315

[42 -379 3424] 167 165932475

[42 -421 4224] 167 -73418181

[28 -421 6336] 167 126000315

[36 101 288] 167 577800603

[22 -69 224] 167 284549019

[22 -91 384] 167 -209301765

[14 -155 1728] 167 284549019

[14 -197 2784] 167 165932475

[16 -37 96] 167 577800603

[12 101 864] 167 -73418181

[88 -265 800] 175 736888151

[44 -265 1600] 175 -65148553

[4 9 64] 175 225591607

[8 9 32] 175 736888151

[22 -265 3200] 175 -143154441

[20 -265 3520] 175 -1002365300

[16 -119 896] 175 -65148553

[2 4 96] 176 446693376

[90 268 800] 176 -446693376

[30 -92 288] 176 0

[30 -212 1504] 176 446693376

[30 -332 3680] 176 -893386752

[30 -452 6816] 176 446693376

[22 -44 96] 176 446693376

[22 -132 800] 176 -446693376

[10 12 32] 176 -446693376

[18 -92 480] 176 0

[18 -164 1504] 176 -446693376

[18 -236 3104] 176 893386752

[2 3 96] 183 -364073613

[46 -93 192] 183 -967532685

[46 -323 2272] 183 142623507

[6 3 32] 183 -364073613

[24 -99 416] 183 -841338573

[38 -125 416] 183 -397336749

[16 -227 3232] 183 142623507

[12 99 832] 183 -967532685

[2 2 96] 188 -1062985728

[94 -658 4608] 188 -176676864

[48 -146 448] 188 -185327616

[48 -530 5856] 188 -185327616

[6 2 32] 188 -1062985728

[6 14 64] 188 -185327616

[142 350 864] 188 700981248

[6 50 448] 188 -193978368

[24 -146 896] 188 692330496

[24 -338 4768] 188 -193978368

[8 18 64] 188 -185327616

[112 274 672] 188 700981248

[12 14 32] 188 -176676864

[16 -146 1344] 188 692330496

[12 50 224] 188 249176064

[32 -110 384] 188 -619831296

[14 34 96] 188 700981248

[102 242 576] 188 700981248

[14 62 288] 188 1118183424

[42 -146 512] 188 249176064

[2 1 96] 191 135985266

[48 -673 9440] 191 1051958706

[4 33 320] 191 -326762766

[6 1 32] 191 135985266

[32 -417 5440] 191 -1584274734

[24 -289 3488] 191 963097170

[8 33 160] 191 -247040622

[20 -223 2496] 191 -247040622

[36 95 256] 191 -1037528622

[16 -161 1632] 191 -1037528622

[12 97 800] 191 1051958706

[18 -95 512] 191 -1584274734

[18 -257 3680] 191 -326762766

[2 0 96] 192 204472320

[2 8 128] 192 -484442112

[2 16 224] 192 764411904

[4 8 64] 192 0

[52 152 448] 192 0

[6 0 32] 192 204472320

[6 24 128] 192 279969792

[6 48 416] 192 -764411904

[8 8 32] 192 -484442112

[24 -72 224] 192 -279969792

[24 -120 608] 192 279969792

[24 -168 1184] 192 484442112

[26 -56 128] 192 484442112

[26 -160 992] 192 -204472320

[26 -368 5216] 192 -764411904

[12 24 64] 192 0

[28 72 192] 192 0

[14 16 32] 192 764411904

[14 -72 384] 192 -279969792

[14 -128 1184] 192 -204472320

[100 -1301 16928] 199 335424869

[50 -501 5024] 199 2642260773

[50 -651 8480] 199 -791693883

[26 -107 448] 199 1980618405

[26 -341 4480] 199 -3126351483

[10 11 32] 199 335424869

[10 21 64] 199 -791693883

[16 -213 2848] 199 -3126351483

[14 117 992] 199 2642260773

[104 -1145 12608] 207 -2261327025

[52 -313 1888] 207 -1579517457

[478 1113 2592] 207 -684877713

[36 -327 2976] 207 -914014530

[26 -313 3776] 207 -1805122641

[26 -391 5888] 207 -2261327025

[18 -39 96] 207 -914014530

[18 -57 192] 207 -1820144034

[16 -135 1152] 207 -1579517457

[108 -973 8768] 215 256563963

[54 -109 224] 215 -2138574309

[54 -595 6560] 215 -1108873989

[36 -397 4384] 215 762320475

[6 13 64] 215 -1108873989

[28 -115 480] 215 -1058131845

[42 115 320] 215 -377506629

[24 -77 256] 215 -1605663717

[12 13 32] 215 256563963

[18 -109 672] 215 808623771

[20 -205 2112] 215 -377506629

[42 109 288] 215 808623771

[16 -179 2016] 215 -1605663717

[14 115 960] 215 -2138574309

[110 -330 992] 220 -3294228480

[110 -550 2752] 220 955912192

[4 6 64] 220 -3599364096

[56 -506 4576] 220 650776576

[28 -58 128] 220 345640960

[28 -198 1408] 220 345640960

[28 -282 2848] 220 -3904499712

[28 -422 6368] 220 955912192

[10 10 32] 220 -3294228480

[22 -154 1088] 220 -3904499712

[34 86 224] 220 4900917248

[170 390 896] 220 650776576

[14 58 256] 220 -1779429376

[34 -118 416] 220 -2389700608

[16 -70 320] 220 -1169158144

[16 -198 2464] 220 -1779429376

[112 -785 5504] 223 -1439796036

[56 -785 11008] 223 -462398724

[4 17 128] 223 326187548

[28 -337 4064] 223 -2464596772

[8 17 64] 223 326187548

[14 15 32] 223 -1439796036

[14 113 928] 223 -462398724

[116 -581 2912] 231 -4332469582

[4 5 64] 231 -3305180174

[58 -581 5824] 231 -757735790

[40 -123 384] 231 35022034

[30 -123 512] 231 3218809202

[30 -453 6848] 231 -4332469582

[24 -123 640] 231 35022034

[40 -133 448] 231 3435381298

[20 -123 768] 231 2868456146

[104 251 608] 231 -2021998990

[20 -187 1760] 231 2868456146

[16 -133 1120] 231 -757735790

[120 -361 1088] 239 -88796646

[60 -361 2176] 239 2031356922

[248 617 1536] 239 2584620858

[40 -361 3264] 239 -892047366

[48 -151 480] 239 -1958717862

[30 -151 768] 239 -1958717862

[30 -361 4352] 239 4888051770

[24 -361 5440] 239 -88796646

[10 41 192] 239 763297146

[20 -41 96] 239 -892047366

[198 457 1056] 239 2584620858

[22 -137 864] 239 -2560054374

[22 -247 2784] 239 763297146

[18 -151 1280] 239 2031356922

[18 -169 1600] 239 -2560054374

[2 4 128] 240 2684354560

[122 364 1088] 240 -2684354560

[4 4 64] 240 -5368709120

[60 -180 544] 240 2684354560

[60 -300 1504] 240 2684354560

[60 -420 2944] 240 0

[6 12 64] 240 2684354560

[46 132 384] 240 -2684354560

[30 -60 128] 240 2684354560

[30 -180 1088] 240 -2684354560

[8 4 32] 240 2684354560

[32 -100 320] 240 0

[32 -228 1632] 240 2684354560

[32 -356 3968] 240 -5368709120

[10 20 64] 240 2684354560

[34 92 256] 240 -2684354560

[12 12 32] 240 -2684354560

[20 -60 192] 240 5368709120

[20 -100 512] 240 0

[20 -140 992] 240 -2684354560

[16 -36 96] 240 -2684354560

[16 -100 640] 240 5368709120

[16 -164 1696] 240 -2684354560

[16 -228 3264] 240 0

[2 3 128] 247 -1709270645

[62 -125 256] 247 204338379

[62 -931 13984] 247 -7703509237

[8 3 32] 247 -1709270645

[32 -131 544] 247 -4834010133

[2 2 128] 252 -3931459584

[126 -882 6176] 252 47099904

[4 2 64] 252 3267932160

[64 -450 3168] 252 -710627328

[42 -126 384] 252 -2118942720

[42 -210 1056] 252 -2118942720

[8 2 32] 252 -3931459584

[32 -194 1184] 252 6488764416

[32 -450 6336] 252 2510204928

[8 66 576] 252 2510204928

[24 -126 672] 252 -2118942720

[24 -318 4224] 252 -2118942720

[14 14 32] 252 47099904

[18 -126 896] 252 6488764416

[16 -66 288] 252 4499484672

[16 -194 2368] 252 -1942179840

[18 -78 352] 252 10941149184

[18 -114 736] 252 -4689186816

[18 -222 2752] 252 4499484672

[18 -258 3712] 252 -710627328

[2 1 128] 255 7479982464

[4 1 64] 255 11479234848

[64 -897 12576] 255 2151739584

[44 -575 7520] 255 -1551942624

[8 1 32] 255 7479982464

[32 -385 4640] 255 812224800

[28 -257 2368] 255 -7473066624

[22 -223 2272] 255 -7473066624

[22 -289 3808] 255 -85994400

[20 -65 224] 255 -7959476448

[14 33 96] 255 -1551942624

[2 0 128] 256 968884224

[2 8 160] 256 -6337593344

[2 16 256] 256 11706302464

[4 0 64] 256 10737418240

[4 16 128] 256 -5368709120

[4 32 320] 256 0

[8 0 32] 256 968884224

[8 16 64] 256 -5368709120

[40 112 320] 256 5368709120

[8 32 160] 256 5368709120

[8 64 544] 256 -11706302464

[34 -72 160] 256 6337593344

[34 -208 1280] 256 -968884224

[34 -480 6784] 256 -11706302464

[26 -80 256] 256 -5368709120

[26 -184 1312] 256 6337593344

[26 -288 3200] 256 5368709120

[26 -392 5920] 256 -6337593344

[16 16 32] 256 11706302464

[16 -48 160] 256 -5368709120

[16 -112 800] 256 -968884224

[20 -48 128] 256 5368709120

[20 -128 832] 256 -10737418240

[20 -288 4160] 256 0

[132 -1717 22336] 263 3457424295

[66 -331 1664] 263 -3826372665

[66 -661 6624] 263 2957892903

[44 -309 2176] 263 4720077063

[408 949 2208] 263 -3826372665

[34 -139 576] 263 -3146236473

[34 -309 2816] 263 966532167

[22 -309 4352] 263 4720077063

[22 -331 4992] 263 3457424295

[24 -53 128] 263 966532167

[12 53 256] 263 -5412315033

[18 -203 2304] 263 -5412315033

[136 -1497 16480] 271 -7443972830

[68 -409 2464] 271 -3868878270

[74 217 640] 271 1942842498

[34 -103 320] 271 -2878765438

[34 -409 4928] 271 -1429516574

[28 -423 6400] 271 -7443972830

[134 327 800] 271 6975995938

[20 -103 544] 271 -2878765438

[212 487 1120] 271 1942842498

[124 295 704] 271 6975995938

[140 -1261 11360] 279 7337411058

[70 -141 288] 279 2779699314

[70 -211 640] 279 7908202290

[48 -339 2400] 279 -1302611760

[36 -147 608] 279 5857384722

[164 403 992] 279 2423929842

[28 -365 4768] 279 -8639761806

[268 621 1440] 279 7908202290

[24 -339 4800] 279 -1302611760

[42 -141 480] 279 -2974590000

[20 -301 4544] 279 7337411058

[98 237 576] 279 -12764992302

[18 -237 3136] 279 -8639761806

[20 -109 608] 279 2423929842

[142 -426 1280] 284 11066978304

[142 -710 3552] 284 5955170304

[72 -362 1824] 284 16973475840

[72 -938 12224] 284 -7470403584

[58 166 480] 284 22085283840

[450 1046 2432] 284 16973475840

[6 26 160] 284 -17136439296

[58 -182 576] 284 7307440128

[36 -74 160] 284 -1563906048

[36 -182 928] 284 7307440128

[36 -362 3648] 284 3547901952

[36 -470 6144] 284 7307440128

[30 -154 800] 284 -17136439296

[30 -214 1536] 284 -1563906048

[30 -394 5184] 284 -17136439296

[30 -454 6880] 284 5955170304

[24 -170 1216] 284 3547901952

[24 -362 5472] 284 11066978304

[40 106 288] 284 -2358595584

[240 554 1280] 284 -7470403584

[18 -38 96] 284 22085283840

[18 -74 320] 284 991997952

[18 -182 1856] 284 -2358595584

[18 -218 2656] 284 -6527078400

[20 -86 384] 284 8511074304

[20 -106 576] 284 7307440128

[20 -246 3040] 284 991997952

[20 -266 3552] 284 -17136439296

[144 -1009 7072] 287 -8566662744

[72 -1009 14144] 287 -6061137336

[78 -239 736] 287 -509745624

[48 -241 1216] 287 -24980518584

[6 49 448] 287 -2211892056

[36 -433 5216] 287 373227912

[338 785 1824] 287 -509745624

[24 -241 2432] 287 -8187511416

[12 49 224] 287 2311072776

[26 -239 2208] 287 -8187511416

[26 -369 5248] 287 -2211892056

[24 -271 3072] 287 2311072776

[18 -271 4096] 287 -8566662744

[148 -741 3712] 295 10821786705

[74 -667 6016] 295 2071258033

[74 -741 7424] 295 -10081421743

[38 -155 640] 295 -4821315919

[38 -421 4672] 295 -879090671

[10 5 32] 295 10821786705

[226 517 1184] 295 2071258033

[152 -457 1376] 303 34502785681

[76 -457 2752] 303 6532275569

[4 9 96] 303 31729571825

[6 9 64] 303 31729571825

[38 -343 3104] 303 17910523057

[38 -457 5504] 303 -2222945039

[26 -55 128] 303 17910523057

[26 -393 5952] 303 34502785681

[22 -73 256] 303 21401663825

[2 4 160] 304 22953328640

[154 460 1376] 304 -22953328640

[38 -76 160] 304 22953328640

[38 -228 1376] 304 -22953328640

[10 4 32] 304 22953328640

[10 44 224] 304 0

[50 -164 544] 304 -45906657280

[10 84 736] 304 22953328640

[22 -68 224] 304 45906657280

[22 -156 1120] 304 -22953328640

[22 -244 2720] 304 0

[22 -332 5024] 304 -22953328640

[2 3 160] 311 -5977288245

[78 -157 320] 311 238816587

[78 -547 3840] 311 -11867459157

[52 -157 480] 311 -15760606005

[218 541 1344] 311 7229679435

[40 -163 672] 311 6487104075

[8 35 192] 311 -4909539189

[10 3 32] 311 -5977288245

[32 -291 2656] 311 8021567787

[26 -131 672] 311 -4909539189

[26 -157 960] 311 -10976264661

[28 -285 2912] 311 8021567787

[12 29 96] 311 -15760606005

[24 -221 2048] 311 -10976264661

[14 61 288] 311 17853129579

[16 35 96] 311 7229679435

[20 -227 2592] 311 17853129579

[240 547 1248] 311 -11867459157

[2 2 160] 316 -13927587840

[158 -1106 7744] 316 50391277568

[80 -242 736] 316 -3287556096

[80 -882 9728] 316 -3287556096

[40 -242 1472] 316 7352475648

[40 -562 7904] 316 -56966389760

[52 146 416] 316 61031309312

[380 882 2048] 316 -3287556096

[10 2 32] 316 -13927587840

[46 126 352] 316 61031309312

[310 718 1664] 316 -3287556096

[10 82 704] 316 -56966389760

[20 -82 352] 316 -24806957056

[20 -142 1024] 316 7352475648

[20 -242 2944] 316 18231844864

[20 -302 4576] 316 50391277568

[22 -50 128] 316 61031309312

[22 -94 416] 316 -67845758976

[22 -226 2336] 316 61031309312

[22 -270 3328] 316 -24806957056

[2 1 160] 319 2225840307

[80 -1121 15712] 319 8936289779

[4 33 352] 319 6183035187

[40 -481 5792] 319 18449533683

[50 -159 512] 319 -22969501581

[10 1 32] 319 2225840307

[32 -353 3904] 319 -22969501581

[38 97 256] 319 -33220456045

[20 -289 4192] 319 6183035187

[2 0 160] 320 -9798942720

[2 8 192] 320 38469107712

[2 16 288] 320 -67139272704

[4 8 96] 320 26458718208

[84 248 736] 320 -26458718208

[6 8 64] 320 26458718208

[54 -272 1376] 320 -52917436416

[54 -488 4416] 320 26458718208

[54 -704 9184] 320 0

[42 -88 192] 320 -38469107712

[42 -256 1568] 320 9798942720

[42 -592 8352] 320 67139272704

[10 0 32] 320 -9798942720

[10 40 192] 320 -28670164992

[10 80 672] 320 67139272704

[28 -88 288] 320 28670164992

[28 -200 1440] 320 -38469107712

[28 -312 3488] 320 -28670164992

[28 -424 6432] 320 38469107712

[14 32 96] 320 0

[46 120 320] 320 -26458718208

[126 304 736] 320 52917436416

[254 584 1344] 320 -26458718208

[20 -40 96] 320 26458718208

[20 -120 736] 320 -26458718208

[18 -56 192] 320 28670164992

[18 -128 928] 320 9798942720

[18 -272 4128] 320 -67139272704

[164 -2133 27744] 327 -10686633009

[82 -821 8224] 327 2469796527

[82 -1067 13888] 327 -28381024017

[56 -619 6848] 327 1347092463

[42 -171 704] 327 -9830630001

[42 -213 1088] 327 1347092463

[28 -171 1056] 327 248621007

[282 651 1504] 327 -28381024017

[24 -363 5504] 327 -10686633009

[44 -149 512] 327 3050461743

[22 -203 1888] 327 248621007

[168 -1849 20352] 335 -7539619215

[84 -505 3040] 335 3428995281

[766 1785 4160] 335 4737848721

[6 7 64] 335 4737848721

[6 25 160] 335 24753877905

[42 -295 2080] 335 34321153041

[42 -505 6080] 335 -43669562031

[36 -185 960] 335 24753877905

[28 -57 128] 335 34321153041

[128 313 768] 335 -1800975279

[30 -185 1152] 335 26177823441

[30 -455 6912] 335 -7539619215

[24 -313 4096] 335 47818370289

[14 57 256] 335 -7618453839

[54 -185 640] 335 -7618453839

[20 -185 1728] 335 26177823441

[118 281 672] 335 -1800975279

[172 -1549 13952] 343 5149687688

[86 -173 352] 343 17383798216

[86 -947 10432] 343 -46049338296

[44 -179 736] 343 33395152008

[422 979 2272] 343 -46049338296

[28 -371 4928] 343 -47836068497

[22 -333 5056] 343 5149687688

[174 -522 1568] 348 -32361771008

[174 -870 4352] 348 -26453045248

[4 6 96] 348 -2779738112

[88 -794 7168] 348 6955241472

[6 6 64] 348 -2779738112

[58 -406 2848] 348 3128987648

[44 -90 192] 348 36537274368

[44 -134 416] 348 9909604352

[44 -442 4448] 348 30628548608

[44 -486 5376] 348 174624768

[12 6 32] 348 -26453045248

[32 -230 1664] 348 36537274368

[26 -134 704] 348 9909604352

[26 -186 1344] 348 30628548608

[26 -342 4512] 348 19644583936

[26 -394 5984] 348 -32361771008

[22 -90 384] 348 33582911488

[22 -134 832] 348 12863967232

[22 -266 3232] 348 96573231104

[22 -310 4384] 348 3128987648

[24 -102 448] 348 -29407408128

[24 -294 3616] 348 33582911488

[52 134 352] 348 12863967232

[268 614 1408] 348 6955241472

[176 -1233 8640] 351 -16859340684

[88 -1233 17280] 351 -20828039724

[4 17 160] 351 70090642452

[60 -303 1536] 351 -12193393077

[44 -529 6368] 351 -34960418892

[188 465 1152] 351 14341288500

[36 -111 352] 351 49448043060

[352 815 1888] 351 70090642452

[30 -273 2496] 351 674461323

[30 -303 3072] 351 674461323

[22 -111 576] 351 49448043060

[20 -303 4608] 351 -16859340684

[44 111 288] 351 51516175284

[24 -81 288] 351 12272103531

[20 -47 128] 351 14341288500

[180 -901 4512] 359 35392926975

[4 5 96] 359 4326636639

[90 -901 9024] 359 -13597404225

[60 -901 13536] 359 4326636639

[68 197 576] 359 18885213279

[46 -187 768] 359 9279482463

[46 -325 2304] 359 -17323245153

[36 -325 2944] 359 -25925839521

[158 389 960] 359 -15480530049

[30 -91 288] 359 -12392232417

[30 -421 5920] 359 -17323245153

[12 5 32] 359 35392926975

[32 -69 160] 359 -25925839521

[16 69 320] 359 23592211455

[20 -261 3424] 359 -12392232417

[18 37 96] 359 18885213279

[22 -229 2400] 359 -15480530049

[22 -251 2880] 359 23592211455

[184 -553 1664] 367 -23798192114

[92 -553 3328] 367 -9515361298

[376 937 2336] 367 100277935694

[46 -553 6656] 367 103461772942

[46 -599 7808] 367 -38812970866

[28 -425 6464] 367 -23798192114

[296 681 1568] 367 100277935694

[26 -137 736] 367 -38812970866

[2 4 192] 368 -14495514624

[186 556 1664] 368 14495514624

[4 4 96] 368 0

[92 -276 832] 368 -14495514624

[92 -460 2304] 368 -14495514624

[92 -644 4512] 368 28991029248

[62 -188 576] 368 14495514624

[62 -436 3072] 368 -28991029248

[62 -684 7552] 368 14495514624

[62 -932 14016] 368 0

[46 -92 192] 368 -14495514624

[46 -276 1664] 368 14495514624

[8 12 64] 368 -14495514624

[48 -244 1248] 368 14495514624

[48 -436 3968] 368 14495514624

[48 -628 8224] 368 -14495514624

[12 4 32] 368 -14495514624

[12 28 96] 368 14495514624

[52 140 384] 368 14495514624

[156 380 928] 368 -14495514624

[324 748 1728] 368 -14495514624

[12 52 256] 368 0

[52 -172 576] 368 28991029248

[12 100 864] 368 -14495514624

[24 -52 128] 368 14495514624

[24 -76 256] 368 -28991029248

[24 -148 928] 368 0

[24 -172 1248] 368 14495514624

[24 -244 2496] 368 14495514624

[24 -268 3008] 368 0

[24 -340 4832] 368 -28991029248

[24 -364 5536] 368 14495514624

[18 44 128] 368 -14495514624

[58 148 384] 368 0

[146 348 832] 368 -14495514624

[282 644 1472] 368 28991029248

[2 3 192] 375 -50366186950

[94 -189 384] 375 29776271578

[94 -1411 21184] 375 -86599321574

[6 3 64] 375 -86599321574

[48 -195 800] 375 -5704302694

[8 67 608] 375 -62069111494

[40 -445 4960] 375 161624953925

[12 3 32] 375 -50366186950

[32 -451 6368] 375 -62069111494

[46 -157 544] 375 -49160629670

[20 -125 800] 375 40309005925

[2 2 192] 380 -43828604928

[190 -1330 9312] 380 -31920451584

[4 2 96] 380 -21860806656

[96 -674 4736] 380 8552878080

[6 2 64] 380 -21860806656

[6 14 96] 380 -48512987136

[270 670 1664] 380 -14438461440

[6 50 480] 380 -33768960000

[48 -290 1760] 380 30520676352

[48 -674 9472] 380 18612523008

[8 34 192] 380 -29645303808

[60 -190 608] 380 4429221888

[38 -114 352] 380 34842906624

[38 -190 960] 380 4429221888

[12 2 32] 380 -43828604928

[32 -162 832] 380 -29645303808

[32 -418 5472] 380 768380928

[12 98 832] 380 18612523008

[24 -98 416] 380 24566599680

[24 -290 3520] 380 -37874528256

[16 34 96] 380 -14438461440

[120 290 704] 380 19636064256

[26 -110 480] 380 87007727616

[26 -162 1024] 380 -3355275264

[26 -318 3904] 380 24566599680

[26 -370 5280] 380 -33768960000

[22 -114 608] 380 34842906624

[22 -158 1152] 380 30520676352

[22 -290 3840] 380 768380928

[22 -334 5088] 380 -31920451584

[20 30 64] 380 8552878080

[24 -226 2144] 380 -3355275264

[2 1 192] 383 -15532395030

[4 1 96] 383 50843669514

[96 -1345 18848] 383 -26829802326

[6 1 64] 383 50843669514

[64 -833 10848] 383 -6394013718

[48 -577 6944] 383 -13178308566

[8 65 576] 383 26670994794

[12 1 32] 383 -15532395030

[32 -321 3232] 383 52973205834

[34 -447 5888] 383 13114905354

[34 -481 6816] 383 26670994794

[28 -255 2336] 383 52973205834

[14 31 96] 383 -6394013718

[16 65 288] 383 10439275626

[24 -319 4256] 383 13114905354

[56 -193 672] 383 10439275626

[2 0 192] 384 76131860480

[2 8 224] 384 -41772122112

[2 16 320] 384 7412383744

[4 0 96] 384 -42582671360

[4 16 160] 384 34359738368

[4 32 352] 384 -26136805376

[6 0 64] 384 -42582671360

[6 24 160] 384 8222932992

[6 48 448] 384 26136805376

[50 -104 224] 384 41772122112

[50 -304 1856] 384 -76131860480

[50 -704 9920] 384 -7412383744

[10 24 96] 384 8222932992

[58 160 448] 384 -34359738368

[186 456 1120] 384 -8222932992

[394 912 2112] 384 34359738368

[12 0 32] 384 76131860480

[12 48 224] 384 -34359738368

[12 96 800] 384 -7412383744

[30 -96 320] 384 34359738368

[30 -216 1568] 384 41772122112

[30 -336 3776] 384 -34359738368

[30 -456 6944] 384 -41772122112

[28 -64 160] 384 -34359738368

[28 -176 1120] 384 42582671360

[28 -400 5728] 384 26136805376

[20 -64 224] 384 34359738368

[20 -144 1056] 384 -76131860480

[20 -304 4640] 384 7412383744

[22 32 64] 384 -26136805376

[22 -120 672] 384 -8222932992

[22 -208 1984] 384 42582671360

[196 -2549 33152] 391 -148476351334

[98 -491 2464] 391 -197141129350

[98 -981 9824] 391 -125927021862

[8 11 64] 391 -197141129350

[50 -203 832] 391 -193587282374

[40 -523 6848] 391 227132106170

[10 43 224] 391 154247380826

[28 -309 3424] 391 154247380826

[44 117 320] 391 165334004954

[26 -395 6016] 391 -148476351334

[20 -203 2080] 391 165334004954

[22 -117 640] 391 227132106170

[22 -139 896] 391 149576843322

[200 -2201 24224] 399 -100525767132

[100 -601 3616] 399 106101996420

[106 313 928] 399 -54068419164

[68 -615 5568] 399 -44041704060

[50 -551 6080] 399 -202581486108

[50 -601 7232] 399 31755606948

[40 -281 1984] 399 127326883908

[52 -167 544] 399 18183365700

[34 -71 160] 399 127326883908

[34 -377 4192] 399 18183365700

[14 7 32] 399 -100525767132

[310 711 1632] 399 -54068419164

[20 -281 3968] 399 -44041704060

[24 -153 992] 399 -192446496540

[20 89 416] 399 92404581156

[204 -1837 16544] 407 73191417747

[102 -205 416] 407 101779758963

[102 -307 928] 407 27544162227

[68 -749 8256] 407 18452345811

[6 13 96] 407 -80785122957

[52 -211 864] 407 70100637459

[8 19 96] 407 18452345811

[34 -205 1248] 407 4026733587

[34 -307 2784] 407 -83116060941

[36 -365 3712] 407 -83116060941

[366 845 1952] 407 27544162227

[26 -237 2176] 407 4026733587

[24 -365 5568] 407 73191417747

[18 77 352] 407 -18148612173

[24 -275 3168] 407 -18148612173

[206 -618 1856] 412 92014047232

[206 -1030 5152] 412 -232357695488

[104 -522 2624] 412 -69991600128

[104 -1354 17632] 412 -69991600128

[8 10 64] 412 -69991600128

[52 -106 224] 412 -231997247488

[52 -470 4256] 412 254380142592

[52 -522 5248] 412 92374495232

[14 6 32] 412 -232357695488

[58 154 416] 412 254380142592

[338 778 1792] 412 -69991600128

[14 118 1024] 412 -231997247488

[26 -54 128] 412 254380142592

[26 -106 448] 412 -69811376128

[26 -262 2656] 412 254380142592

[26 -314 3808] 412 -69450928128

[28 -118 512] 412 -70171824128

[28 -202 1472] 412 92374495232

[28 -342 4192] 412 -69811376128

[28 -426 6496] 412 92014047232

[208 -1457 10208] 415 97340559615

[104 -1457 20416] 415 39021765311

[110 -335 1024] 415 8247850655

[52 -625 7520] 415 -18593159649

[62 177 512] 415 5042433151

[10 15 64] 415 8247850655

[26 -79 256] 415 247725690111

[22 -49 128] 415 5042433151

[22 -335 5120] 415 97340559615

[212 -1061 5312] 423 141347198586

[106 -955 8608] 423 -45163957350

[106 -1061 10624] 423 76230054618

[72 -219 672] 423 -24279122412

[54 -165 512] 423 -202957419174

[54 -219 896] 423 237812085498

[36 -219 1344] 423 32813166420

[12 27 96] 423 -24279122412

[14 5 32] 423 141347198586

[32 -165 864] 423 -202957419174

[148 357 864] 423 -30340954182

[24 -219 2016] 423 32813166420

[48 -165 576] 423 35433525492

[18 27 64] 423 -45163957350

[216 -649 1952] 431 44867803458

[108 -649 3904] 431 -131974416606

[4 9 128] 431 48159953058

[72 -649 5856] 431 44790965922

[80 -247 768] 431 90975505794

[8 9 64] 431 48159953058

[54 -649 7808] 431 -15195408222

[44 -311 2208] 431 -113936313822

[10 23 96] 431 90975505794

[36 -73 160] 431 -113936313822

[50 137 384] 431 -38289754878

[38 -119 384] 431 52776172098

[38 -233 1440] 431 -98566706622

[30 -457 6976] 431 44867803458

[24 -265 2944] 431 52776172098

[18 73 320] 431 -87032419614

[22 -201 1856] 431 -98566706622

[22 -311 4416] 431 44790965922

[24 -247 2560] 431 -38289754878

[58 -201 704] 431 -87032419614

[2 4 224] 432 84714455040

[218 652 1952] 432 -84714455040

[6 12 96] 432 0

[78 228 672] 432 0

[54 -108 224] 432 84714455040

[54 -324 1952] 432 -84714455040

[14 4 32] 432 84714455040

[14 60 288] 432 0

[54 -180 608] 432 -169428910080

[14 116 992] 432 84714455040

[18 36 96] 432 0

[42 108 288] 432 0

[26 -84 288] 432 169428910080

[26 -188 1376] 432 -84714455040

[26 -292 3296] 432 0

[26 -396 6048] 432 -84714455040

[2 3 224] 439 -48069049555

[110 -221 448] 439 -58846006291

[110 -771 5408] 439 -125891014227

[56 -227 928] 439 -121851842963

[70 -221 704] 439 -50015812563

[44 -221 1120] 439 -50015812563

[56 157 448] 439 216253038093

[14 3 32] 439 -48069049555

[32 -99 320] 439 82458662573

[50 131 352] 439 61807259629

[22 -67 224] 439 82458662573

[22 -221 2240] 439 61807259629

[20 29 64] 439 -125891014227

[26 -61 160] 439 216253038093

[2 2 224] 444 102169079808

[222 -1554 10880] 444 212378873856

[112 -338 1024] 444 -96749850624

[112 -1234 13600] 444 229979615232

[74 -222 672] 444 -24341090304

[74 -370 1856] 444 302388375552

[56 -338 2048] 444 31060684800

[56 -786 11040] 444 -79149109248

[8 18 96] 444 302388375552

[240 594 1472] 444 -58948816896

[10 14 64] 444 229979615232

[46 -142 448] 444 -222313549824

[46 -418 3808] 444 340189409280

[46 -510 5664] 444 -583650742272

[12 18 64] 444 -96749850624

[40 -366 3360] 444 13459943424

[14 2 32] 444 102169079808

[14 30 96] 444 -24341090304

[150 366 896] 444 -385678282752

[14 114 960] 444 -79149109248

[28 -114 480] 444 -24044212224

[28 -142 736] 444 -222313549824

[28 -338 4096] 444 157273976832

[28 -366 4800] 444 139023642624

[30 -66 160] 444 340189409280

[30 -126 544] 444 -205362401280

[30 -306 3136] 444 13459943424

[30 -366 4480] 444 -24044212224

[24 -174 1280] 444 31060684800

[24 -366 5600] 444 212378873856

[20 46 128] 444 -58948816896

[140 334 800] 444 -385678282752

[2 1 224] 447 36010639557

[112 -1569 21984] 447 -118625989371

[4 33 384] 447 145097034213

[76 -991 12928] 447 8972598501

[56 -673 8096] 447 -189296596827

[8 33 192] 447 272118725637

[38 -193 992] 447 272118725637

[38 -383 3872] 447 -303035510235

[14 1 32] 447 36010639557

[32 -289 2624] 447 -303035510235

[16 33 96] 447 8972598501

[22 31 64] 447 145097034213

[22 97 448] 447 -446258588283

[2 0 224] 448 283505590272

[2 8 256] 448 28923920384

[2 16 352] 448 -341353431040

[4 8 128] 448 0

[116 344 1024] 448 0

[8 8 64] 448 0

[56 -168 512] 448 0

[56 -280 1408] 448 0

[56 -392 2752] 448 0

[58 -120 256] 448 -28923920384

[58 -352 2144] 448 -283505590272

[58 -816 11488] 448 341353431040

[14 0 32] 448 283505590272

[14 56 256] 448 -312429510656

[14 112 928] 448 341353431040

[28 -56 128] 448 0

[28 -168 1024] 448 0

[16 8 32] 448 28923920384

[16 24 64] 448 0

[32 -104 352] 448 312429510656

[32 -168 896] 448 0

[32 -232 1696] 448 -28923920384

[32 -296 2752] 448 0

[32 -360 4064] 448 -312429510656

[32 -424 5632] 448 0

[22 -72 256] 448 312429510656

[22 -160 1184] 448 -283505590272

[22 -336 5152] 448 -341353431040

[228 -2965 38560] 455 -133887950304

[114 -1141 11424] 455 38951134656

[114 -1483 19296] 455 52355083200

[76 -533 3744] 455 -221397531936

[696 1621 3776] 455 372015040128

[58 -235 960] 455 53174015424

[58 -757 9888] 455 -251042973504

[48 -341 2432] 455 -151741715616

[38 -267 1888] 455 148506947904

[38 -533 7488] 455 -151741715616

[40 -85 192] 455 148506947904

[62 -203 672] 455 -238199282304

[14 21 64] 455 52355083200

[30 -395 5216] 455 -418545984768

[28 -427 6528] 455 -133887950304

[18 43 128] 455 -251042973504

[24 -341 4864] 455 -221397531936

[20 85 384] 455 -193817776320

[24 -299 3744] 455 -193817776320

[232 -2553 28096] 463 90978814266

[116 -697 4192] 463 -1582766502

[1054 2457 5728] 463 39897906266

[58 -697 8384] 463 -85555863910

[58 -871 13088] 463 39897906266

[16 7 32] 463 90978814266

[236 -2125 19136] 471 192264822291

[118 -237 480] 471 -358503776301

[118 -1299 14304] 471 -15105219501

[80 -563 3968] 471 284962759347

[60 -243 992] 471 31525116819

[74 211 608] 471 314437626483

[10 13 64] 471 -15105219501

[10 83 736] 471 -95593530477

[40 -563 7936] 471 -95593530477

[12 51 256] 471 -253356672909

[30 -333 3712] 471 -253356672909

[24 -51 128] 471 314437626483

[50 -173 608] 471 93416003763

[26 -371 5312] 471 284962759347

[26 -397 6080] 471 192264822291

[238 -714 2144] 476 564342005760

[238 -1190 5952] 476 151946502144

[4 6 128] 476 223494119424

[120 -1082 9760] 476 223494119424

[90 262 768] 476 -200236621824

[738 1718 4000] 476 -95364341760

[6 26 192] 476 71050174464

[90 -278 864] 476 71050174464

[60 -122 256] 476 -117353766912

[60 -422 2976] 476 -188901384192

[60 -602 6048] 476 295041736704

[60 -902 13568] 476 223494119424

[10 22 96] 476 71050174464

[210 518 1280] 476 -252672761856

[10 42 224] 476 -466970370048

[62 -198 640] 476 -362098089984

[40 -122 384] 476 -38375153664

[40 -442 4896] 476 -362098089984

[12 26 96] 476 71050174464

[180 442 1088] 476 -252672761856

[34 -102 320] 476 -143247433728

[34 -170 864] 476 -466970370048

[30 -122 512] 476 88843984896

[30 -182 1120] 476 -188901384192

[30 -362 4384] 476 -180456284160

[30 -422 5952] 476 -188901384192

[16 6 32] 476 151946502144

[32 -134 576] 476 358144253952

[32 -390 4768] 476 88843984896

[16 134 1152] 476 -117353766912

[18 26 64] 476 223494119424

[30 -218 1600] 476 295041736704

[30 -278 2592] 476 -188901384192

[30 -458 7008] 476 564342005760

[24 -122 640] 476 -38375153664

[24 -314 4128] 476 -143247433728

[48 122 320] 476 -305108901888

[248 570 1312] 476 -200236621824

[24 -58 160] 476 -252672761856

[24 -250 2624] 476 -252672761856

[240 -1681 11776] 479 -39746277576

[120 -1681 23552] 479 355634562936

[4 17 192] 479 -142706967240

[80 -401 2016] 479 62628550392

[6 49 480] 479 -87354861192

[60 -721 8672] 479 367702853592

[8 17 96] 479 62628550392

[48 -145 448] 479 -52932673224

[10 81 704] 479 260310704856

[40 -401 4032] 479 74220468888

[54 -175 576] 479 -375547670568

[12 17 64] 479 -142706967240

[42 -593 8384] 479 260310704856

[36 -401 4480] 479 -375547670568

[178 433 1056] 479 -63678053832

[30 -271 2464] 479 74220468888

[28 -145 768] 479 -52932673224

[56 145 384] 479 -347853820488

[24 -145 896] 479 -347853820488

[20 81 352] 479 260188669656

[28 -401 5760] 479 -87354861192

[168 401 960] 479 -63678053832

[24 -367 5632] 479 -39746277576

[60 -209 736] 479 260188669656

[244 -1221 6112] 487 417875046185

[4 5 128] 487 360396182537

[122 -1221 12224] 487 433940113385

[62 -933 14048] 487 360396182537

[16 5 32] 487 417875046185

[248 -745 2240] 495 236329512747

[124 -745 4480] 495 -22676981397

[504 1257 3136] 495 133412296683

[6 9 96] 495 -82192318920

[62 -311 1568] 495 236399513355

[52 -681 8928] 495 -312142698357

[42 -87 192] 495 186201574200

[42 -297 2112] 495 186201574200

[36 -471 6176] 495 -157416699573

[56 151 416] 495 -510986067573

[16 23 64] 495 133412296683

[28 -87 288] 495 -191597631573

[142 343 832] 495 -34898163285

[18 9 32] 495 236329512747

[26 -265 2720] 495 -510986067573

[26 -343 4544] 495 -157416699573

[28 -151 832] 495 -312142698357

[24 -105 480] 495 224739844920

[2 4 256] 496 54223962112

[250 748 2240] 496 -54223962112

[4 4 128] 496 -54223962112

[124 -372 1120] 496 -446106173440

[124 -620 3104] 496 554554097664

[124 -868 6080] 496 -54223962112

[62 -124 256] 496 54223962112

[62 -372 2240] 496 -54223962112

[8 4 64] 496 -54223962112

[64 -196 608] 496 500330135552

[64 -452 3200] 496 54223962112

[64 -708 7840] 496 -500330135552

[10 12 64] 496 554554097664

[50 -252 1280] 496 -500330135552

[50 -452 4096] 496 446106173440

[50 -652 8512] 496 -500330135552

[14 20 64] 496 -446106173440

[38 -196 1024] 496 500330135552

[38 -348 3200] 496 -554554097664

[38 -500 6592] 496 500330135552

[16 4 32] 496 54223962112

[32 -68 160] 496 446106173440

[32 -196 1216] 496 54223962112

[32 -324 3296] 496 -554554097664

[32 -452 6400] 496 54223962112

[16 68 320] 496 0

[56 -188 640] 496 -108447924224

[20 28 64] 496 -54223962112

[28 -92 320] 496 108447924224

[28 -148 800] 496 -500330135552

[28 -260 2432] 496 54223962112

[28 -316 3584] 496 0

[28 -372 4960] 496 500330135552

[28 -428 6560] 496 -54223962112

A nonlift newform in S14(K(16))+

A nonlift newform in S₁₄(K(16))⁺