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Critical L-values of higher-level newforms

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Numbers
$f$
$s$ 
$L(f,s)$
3.6.a.a.1.1
1:
0.1178524725146029546964443363987177568867348323110446588788459428693034377551468781103452703516200788
3.6.a.a.1.1
2:
0.3351302899846574225582533474746834853903891613121037051691594825692163804730822531080955662237711119
3.6.a.a.1.1
3:
0.5600386910489645890343314763941015231677503853006209497922858574199182447081348598204262692902289580
3.6.a.a.1.1
4:
0.7350229744379839777779745236378771463081521009193329682206351541477319242523978416205262069407387992
3.6.a.a.1.1
5:
0.8503631276857206920542163035049044879358063675690591741944972104205579264543172997047772725642464268
4.6.a.a.1.1
1:
0.2372550056342561811204793272201899477144301969252961789211385638328486685659980766849622255315768168
4.6.a.a.1.1
2:
0.5506574166704992687144129899621742698847443518696672478406329968492609895473066317396583328915805845
4.6.a.a.1.1
3:
0.7805376825961117937210607972807139466489105179797093059397325328877424287498884077729980264034539945
4.6.a.a.1.1
4:
0.9057951438439427225959494486851929814017881808666692687085096896728396651944304620943117658316813788
4.6.a.a.1.1
5:
0.9629497684208342292578060855601701864533533076889017966421375031326059379422869626758536931282851230
5.4.a.a.1.1
1:
0.1613703351241217167582590553064809692741318360876510598175283664033840924442192244337832046665043666
5.4.a.a.1.1
2:
0.4118613283861991710154635203403986501988305072049907307406434553817911591541286434760481002744180423
5.4.a.a.1.1
3:
0.6370645478985185628978157970929321480716144311266447483707216454612172954794060216336591246391389269
5.6.a.a.1.1
1:
0.3967318967572159305369572511355162209128100336043562808318219482832724640372531923397280053049421623
5.6.a.a.1.1
2:
0.7807297774317928553232791987347525435525638388697802253362531185752669947720838778494936245108636913
5.6.a.a.1.1
3:
0.9710655448233117529374157157645146593798877485038260259255714733827384883961703962652453112656834269
5.6.a.a.1.1
4:
1.027399206320311756908434297200049501731903461998204340625207127613284356592731960999000647158012141
5.6.a.a.1.1
5:
1.030541158595096077426808223198553629403774169316869308032666815545847023759069090178324778465861290
6.4.a.a.1.1
1:
0.2216239155906735082467100442530338095614875988921917938713953739967396011777594087374808376908506514
6.4.a.a.1.1
2:
0.5097104233667223098633680858795421963250284450966691737039097935340986213530594014535543132059233905
6.4.a.a.1.1
3:
0.7291134575667892595145712159448379044293639045236670415770502101090630741407248851671769344372087330
6.6.a.a.1.1
1:
0.6032956087515829906989918928382673258321131164997359201211283133156170624650450612618144779780366747
6.6.a.a.1.1
2:
1.036316412375335711701265107736594099108423437281685276222620068143007366654642624055178935779735859
6.6.a.a.1.1
3:
1.157778415751320856707368655073426800150873387762944257610824590028116664643349293987959488241882703
6.6.a.a.1.1
4:
1.136448113833416445260516457802184378939436030322027447267186893199900628073255281766284940480085714
6.6.a.a.1.1
5:
1.088268090246238240863815159854041578003787764568456494101588412172596681150404656488816717687160957
7.3.b.a.6.1
1:
0.1967355870688958550489903975389425873775292307985145861005294477387848321639527067029568340172032788
7.3.b.a.6.1
2:
0.4672117688843731239421100514130912617241085499597108770877440238359901454261436221731572515501991028
7.4.a.a.1.1
1:
0.2850516619814368206790532990666473751384807275386326475019152853438738717673292574561979830084667542
7.4.a.a.1.1
2:
0.5995661579686175665810611670752282076561559628744473357104439958045046085544866651766511487799053207
7.4.a.a.1.1
3:
0.8038134678942357281395913232443411484419209928521051914303167004364873159806914137600496887272863681
7.6.a.a.1.1
1:
-0.5177803890674738779689240657842103361964640015695214861608483520944973691289657037276301099442099980
7.6.a.a.1.1
2:
-0.4408350004495845035842724891954411868026895108713281060308104469104116593414519698367684411310032618
7.6.a.a.1.1
3:
0
7.6.a.a.1.1
4:
0.4143682914848998668543631546634890695462180336293224812594078631577890283440169619291622807091279668
7.6.a.a.1.1
5:
0.6862111163849627659962483841040660417721788468280211781201686106350409627933591468871069207803884778
7.6.a.b.1.1
1:
0.8025199270624613668310708244260478293052341861889141451484703662697495839309501522514143855017597377
7.6.a.b.1.1
2:
1.201502229107919151887816015132123833886455440697652729745252633899391567911338306671102088606059846
7.6.a.b.1.1
3:
1.214062261927596625577806728491261464114035313075185963484560982266661195291762682055456573572588132
7.6.a.b.1.1
4:
1.129366827459256547156554497715848684908396903512485571405582878000232123078986425708384101058551173
7.6.a.b.1.1
5:
1.063574648052085651926070419027660096375764260580486337176072619120626902173628086580070035703800997
7.6.a.b.1.2
1:
0.8901671627150316383461966402147953746398505689883712231351509999305753449982165724637045674293740225
7.6.a.b.1.2
2:
1.377153780309742960949051015678646572560537378841944268621692259461413392971466750737027895150074985
7.6.a.b.1.2
3:
1.411116560073870027403459482986777420139453975077987818542766553238628067953473748750300410520332096
7.6.a.b.1.2
4:
1.294472667725893983837400163729049920235724912810466124662875535403023666075422111827624868286411710
7.6.a.b.1.2
5:
1.179732982154941183778255651256508495684033051570099289334836199467498693571487947425287736057705599
8.3.d.a.3.1
1:
0.2380208810160280648641285918559743141066037083062833382606840844916544581506062671590192116570780997
8.3.d.a.3.1
2:
0.5287494555957668337759580638598658713411539297330525367243832947211294834920535857738431390794928794
8.4.a.a.1.1
1:
0.3545006837309647187655598914949323644154302800304152530026834597078810578234301999188187313777903141
8.4.a.a.1.1
2:
0.6900311631233975251191054202183187040456219271857341158693739871906502602439104359044727941870360455
8.4.a.a.1.1
3:
0.8746953770850790449445947283566370007122192855441703635420319759089211078173230524925146366120660984
8.6.a.a.1.1
1:
1.044885995210620120241402179565850005801548824412939087422980191369839167979142713432803031393287990
8.6.a.a.1.1
2:
1.391304368376811756590303614254293845934000905967725684216564248592854845306068757740094809904399898
8.6.a.a.1.1
3:
1.289076427120921353755651965702721082779993916534729740020839407878138251486744347866047721812259341
8.6.a.a.1.1
4:
1.144301976448885964660728923373689112604986706363105235101264115489861956982509337403005725268334576
8.6.a.a.1.1
5:
1.060222864871099270108440537247257112920766731362609739002998869352207872073558024167325331923858115
9.4.a.a.1.1
1:
0.4189910775022040675514095346065758603044153972758781792250219546093954605640124037757785215696620431
9.4.a.a.1.1
2:
0.7599657499933076359136227474262080196061237300276900939175306460912019326559284082054146601652510736
9.4.a.a.1.1
3:
0.9189502627850946258433477704757323821417759411345570189877669347049866498941369358072092731731613067
9.6.a.a.1.1
1:
1.478136100797008284788349773389101448205983092258173927530296535851837940724795451748840675750634935
9.6.a.a.1.1
2:
1.852593077576951430417662676570949129168846820965713272598075469298190879895720956865464324275215492
9.6.a.a.1.1
3:
1.620957618426135197288575434282088495505075300164021496415214232759159244340579153302026659964721121
9.6.a.a.1.1
4:
1.354397095694900697221335128812159321503525167373347410773699656686488540629106819203922556695472382
9.6.a.a.1.1
5:
1.185052625540585864485343162465121597398400834571757835141346478706021175135856286785335677489068523
10.4.a.a.1.1
1:
0.5155982898017706462773964532180964166033718325912743375412018466880247432010424596392098781754573246
10.4.a.a.1.1
2:
0.8824450529181852676121956311868236797285093690830353312507774298668380280140405696662966084856709349
10.4.a.a.1.1
3:
1.017750230044340427828423630559708624681032442151307460492682490006139338954702385880651848687534017
10.6.a.a.1.1
1:
-1.214557132442393485781740630376306109386291385959124860046419408779632452414080939266798125983667452
10.6.a.a.1.1
2:
-0.8008325275854027251525369083162444813366254021211495657873503078998761052366787893276217895828281845
10.6.a.a.1.1
3:
0
10.6.a.a.1.1
4:
0.5269266825861603952070425111869395117522003862232018397737885053455305392459666166525919201962883502
10.6.a.a.1.1
5:
0.7887260418671870798684280819756412617235773853730910331345736523359107004972565447132485991656350352
10.6.a.b.1.1
1:
1.507082489621681173208855585221881569480694049925940480482054603208378665296444923102401239132762176
10.6.a.b.1.1
2:
1.581093100367651107060843256245387797140493444518727729966085337356070417847791554675895180409119238
10.6.a.b.1.1
3:
1.239525664364571011821933660184509229057369694768578838661841317833782636077177350100984110795057016
10.6.a.b.1.1
4:
1.040317561461372558665187822244457472562710032237336692930144807708930140568758129436400889367202189
10.6.a.b.1.1
5:
0.9786902361820624982505841924555265436029372026283760580603076061267410239459158273521622783782948484
10.6.a.c.1.1
1:
1.776860829136941545462207576335838226990165016832088918155526662632674990477271842530723898284180793
10.6.a.c.1.1
2:
2.011552603420606710737691374035522130732373929218083133076823267447270945293409691841122634972761087
10.6.a.c.1.1
3:
1.636778589541502879577124233552452123351701683625886974293820336868063423541862539708843149645144066
10.6.a.c.1.1
4:
1.323548561849518480582762851565713948130884189233324003890341789966078983730540717430560609181740762
10.6.a.c.1.1
5:
1.153882655067689261894846664794102192594424329277298922505868396593739822837664061571626567685560302
11.3.b.a.10.1
1:
0.3689122286920574381658931950275207124290446092070461789356584457260156879037538579615124680790551206
11.3.b.a.10.1
2:
0.6988863804242464992183227193400899508043808043220733131221996202810940996843218666667536516127682798
11.4.a.a.1.1
1:
0.5348944609676166586195140338635358218355559379381301995805350623046633025464272634432113772224531658
11.4.a.a.1.1
2:
0.8560195510902055721043474835217754372541165710182774369344052783268343589476796577987968581936232305
11.4.a.a.1.1
3:
0.9598539501971471859357011043690754661558604329160349711371623611950834473292888102899345065736751545
11.4.a.a.1.2
1:
0.6043704120931276166698390848693060657610498284919420580942438077511836964884140844596094994071685035
11.4.a.a.1.2
2:
0.9790655727628448861228878601811118219704684545698714263021304554284831963007533965134607035430513179
11.4.a.a.1.2
3:
1.084526705287731209568792515744422146896775254635315452813577357220126183620026598911515288654748925
11.6.a.a.1.1
1:
-1.498109551321394341462022512194525143368620225160238954672881474121199299381317297970005201302598456
11.6.a.a.1.1
2:
-0.9180990932207589220579687426322889734218764777046924188254710973288827955971517346331623352013590259
11.6.a.a.1.1
3:
0
11.6.a.a.1.1
4:
0.5491681727931970659773787815683347989563216052895967456151885782132976867934108676313706188803362035
11.6.a.a.1.1
5:
0.8040192267965523286307257438054062796746026617090093439277685853670475268729698405517757152313805161
11.6.a.b.1.1
1:
1.511448059847108983420869889937136637692230836250456089797563657771941667000329622766097387240787737
11.6.a.b.1.1
2:
1.278155454329647392795226159802421704597636814812023227403943047457499917256407512374278637625594639
11.6.a.b.1.1
3:
0.8699849810884206509076034060111386987396693193995144932999338056007359482165405582100602734598432207
11.6.a.b.1.1
4:
0.7645387089289852496220974805517878056570849281515753988036294488956891913306663088528413356927193430
11.6.a.b.1.1
5:
0.8111778603570986382592387953768430932428763020475986480285899506372994186356980804149331172706313338
11.6.a.b.1.2
1:
2.098500958616069997806137721391170046891282880581942950324614634193096702448453297894413950778457044
11.6.a.b.1.2
2:
2.162704249621651850784848114466854127496714755555165637091048681291838855938394245794492496825609338
11.6.a.b.1.2
3:
1.645807385054622089885096713107395513100960281219529487880300249549081652037844471327269057346837316
11.6.a.b.1.2
4:
1.293638507898212967035733776886367570718828752969561335800849755082975117160840173737729905697004028
11.6.a.b.1.2
5:
1.126242814946414014405623480728752907751498621103918426767222587686321413281270153274374638892912378
11.6.a.b.1.3
1:
2.341751098112947645231142526215691399065301642374555112521811709911914237079412310326564347557597790
11.6.a.b.1.3
2:
2.524126077812215000508757288129604184627363523341757461949070124717679463542407400909998824786010585
11.6.a.b.1.3
3:
1.961193867291087052023283548753575032836794276005453022266444130166754466373403230286183273334944169
11.6.a.b.1.3
4:
1.509825808877567153979204161237338262186567183722199081111144378898819882571727698573988088233701438
11.6.a.b.1.3
5:
1.256792539366717852283784067621764785604727713469079795070569713898689228046315595058949213861506395
12.4.a.a.1.1
1:
0.6145790259067302295400280296974202095729075210023659749142237585048868708048207390289354023239814134
12.4.a.a.1.1
2:
0.9344401381419144428104289823001602595950770395124332831581817614802993401022671860290980269161648683
12.4.a.a.1.1
3:
1.010941976484379270317945520601225863420443549935621377874902918112044142491887597586463952258797581
13.4.a.a.1.1
1:
-0.2552019412596977930931895492653394489443954813305394937576694751898959843170776514223670019623484959
13.4.a.a.1.1
2:
0
13.4.a.a.1.1
3:
0.3874988004035786639442120731656919855015829832648016839269538193779045468037265439253700525723703889
13.4.a.b.1.1
1:
0.6354458199293281607438678388239528239024632794463064963389740291851264573455101973558981290453664994
13.4.a.b.1.1
2:
0.9114306732800435241761308370532268147515384798721311216744628176895711440647829293890893793980703728
13.4.a.b.1.1
3:
0.9648613632351281977021459839341143199808450873874035348151105491172115346599092755860120307206485376
13.4.a.b.1.2
1:
0.7567964575022277818152599565492465104937788029477761672700672214432948247450560602084560569941225607
13.4.a.b.1.2
2:
1.107518455078538737312991324032872913944229986234495007473834094139204717039710489195218680846640438
13.4.a.b.1.2
3:
1.149120253491203549059937242330075765545508573013039805996046658224049165148543606712980339727250298
13.6.a.a.1.1
1:
-2.134146469137262751929589244684538439323549587882391661260223001651730647351821851035013982776067427
13.6.a.a.1.1
2:
-1.144335940992138865692480524963592610260721287009626705305951197849512153878996757376543747696783264
13.6.a.a.1.1
3:
0
13.6.a.a.1.1
4:
0.5791868225405510940723784011939783543980477747366700033185144900650257075278167199896646773170156094
13.6.a.a.1.1
5:
0.8200602275821952673129400653738449623084292231023089191548936984631410275360887321966053849931038286
13.6.a.a.1.2
1:
-2.252150898692562523906583067111892796642331747879323735486231013738557155412694501090917452155092774
13.6.a.a.1.2
2:
-1.227163235925664933722737171516568470532772908066719002579703209070334602072259440206729052013149956
13.6.a.a.1.2
3:
0
13.6.a.a.1.2
4:
0.6211084961101026436188760075248001380853899512358863428974804990001789369689517423323854324281264558
13.6.a.a.1.2
5:
0.8654042284538628145727517665605196905466744229824490412933462070767469053831502610250876684260892165
13.6.a.b.1.1
1:
2.147172764717983526488113783846623949678694567948114612286109871984201052927944972055781823304666956
13.6.a.b.1.1
2:
1.541413170181317539214787454311960098310430949595061058918491013419187280383789900746407205901957269
13.6.a.b.1.1
3:
0.9240266662968001490293748371103930157925717156763439258467258556748816814327484097273876015199051070
13.6.a.b.1.1
4:
0.7801609337599298515360745182403680825015126376146211668673035880944538294205737979814810005007921727
13.6.a.b.1.1
5:
0.8250656698388353208532500451501649377198116150292365210249239003237013473326510649741356472437642306
13.6.a.b.1.2
1:
3.119546825549373805163929089616814653782422563173501423665609173282168322166680943304082161379153906
13.6.a.b.1.2
2:
2.851537583589571948682208554639251797076875358756190150157238967965578486979961397602043984864285825
13.6.a.b.1.2
3:
1.970766487322487938766879394033566182782202421543233021525331348320388306800593521097841027367725614
13.6.a.b.1.2
4:
1.443258865890633545766373219442425814056272227806952486291781834849862466617760708098129842998381821
13.6.a.b.1.2
5:
1.198706985068135199692736493406138444601054501140998582715683198274914792011495139952604840374215675
13.6.a.b.1.3
1:
3.468156540578590388087428637595762738169609917239057005089257940517606179893605905751784484386323876
13.6.a.b.1.3
2:
3.304982385829193769210348450100924003665226641068145817495539078637573936933295233905265005897288411
13.6.a.b.1.3
3:
2.328309214420182745992629258077960320634233485848989416990012976606786942141879052545397026013862286
13.6.a.b.1.3
4:
1.672762497471929206161551330915596284662013727615714847547062337718635453611782671791532414305438260
13.6.a.b.1.3
5:
1.332662627934480784465906120734637223197898970409313986457046118088948319955567955687620482551536009
14.4.a.a.1.1
1:
0.6749631971699417712926956827309133991932284290440657232288545057754170884123990344795777752947816769
14.4.a.a.1.1
2:
0.9193067426691211565391435690793924968089576319904414853234207167915197883587580558043620220999199670
14.4.a.a.1.1
3:
0.9516599630516859757039061415062654851605768581814126893616467682450889704476266775571279744966806850
14.4.a.b.1.1
1:
0.8147623501326139670662512393260824619080132861093199834456719568741822955201217785117492611629328878
14.4.a.b.1.1
2:
1.136203385719110956218584623126403752456625330368707047781128002286505596086505651372211754932167823
14.4.a.b.1.1
3:
1.148768868101536540182476662753221890751603636547432597074966444396266596887723378125022354742826767
14.6.a.a.1.1
1:
2.865418479110991257356127013966406255825699634195813044699456497938972476149831501535996444605153947
14.6.a.a.1.1
2:
2.131730364953222564302407929305111016484269780873777030131228777464491469194160740565317894469747833
14.6.a.a.1.1
3:
1.298596538222293578922227892978569897197682756895446995039914203122810230914297407008956068779314432
14.6.a.a.1.1
4:
1.001873113898959526710062676222650815814866183423251134188647347988961328809915629923834610692560477
14.6.a.a.1.1
5:
0.9493803043613447567350856817693218484511097687085669548975546141016332814609663975579384211097353106
14.6.a.b.1.1
1:
3.548862020276525088582260333786004827195612676895972147416746335066895383546235161460160635994020203
14.6.a.b.1.1
2:
3.003630007421395911678775312338483628955925062330055237355594637603603904041575190124409446704542551
14.6.a.b.1.1
3:
1.965737277326432200296272011631504762209010803129897209825040334992799775473533054820672848254537820
14.6.a.b.1.1
4:
1.411649520975727237162916952923600237010896317008970435916855168969386784954613227796411770078701060
14.6.a.b.1.1
5:
1.175821168708264747016094698923063881942484895677543117240028875035347251104175071971181949003943144
15.3.d.a.14.1
1:
0.4854229429780167748015188996942839546677918628639030993420632463776273942294308393951442828111973789
15.3.d.a.14.1
2:
0.7875072083834379925478374124337904526369957887349971998763453121100926357992796557614732598770042580
15.3.d.b.14.1
1:
0.5427193491684248552017637837961316308212836221739737522932329619017445477715035537492854018006959941
15.3.d.b.14.1
2:
0.8804598253582298104496891089413256851389893222624984777344047834051932782450659272146414293495671036
15.4.a.a.1.1
1:
0.8566252120412606086279296431549565746344623109251454804078310257737490628594638881551187966002016165
15.4.a.a.1.1
2:
1.139433421035068282799640510751210836435437301868961189233178670523116291912847203429691388627794860
15.4.a.a.1.1
3:
1.127273595046204098974528401904104153289505635610386697261648047381374404777559843163904997578080028
15.4.a.b.1.1
1:
0.9333001734230192761207258829555373817459393820793562131136416960191696713158602003800857453358922614
15.4.a.b.1.1
2:
1.253715643627787719726896927920635965797926068522467112089193813725327270534183954369284964026869528
15.4.a.b.1.1
3:
1.228173799887105692901869641138460227748902564917745901946229223081102932772363816875488075352873924
15.6.a.a.1.1
1:
-3.004400886136587225669201457952184253550124017375821920185202866549090327333599178346886736289705244
15.6.a.a.1.1
2:
-1.453256413818361488260414747420259051764723574091242929676541357101585203468337940589045048027209604
15.6.a.a.1.1
3:
0
15.6.a.a.1.1
4:
0.6374695954548017220042254892748168959797301808693102349466198155617035112558147505183675066590339976
15.6.a.a.1.1
5:
0.8671287686527893809144112779235375482276200253633530261044071800007269223383929388591217544268289931
15.6.a.b.1.1
1:
4.397385092190120325955358971783110441693062286092010591930111394730180198134052381420437920556113024
15.6.a.b.1.1
2:
3.633792105939231547688462894322769509402824517028994517124462785277758957174835918058194072906059591
15.6.a.b.1.1
3:
2.314690733822098482991469624823931551460583731667236213858194728857283301923892240024673152183652611
15.6.a.b.1.1
4:
1.593959580507627047348555595095286233330096373202450314424881479390334126524961121938037653543369880
15.6.a.b.1.1
5:
1.269171214093963350321742745432854049309313765203058131305009956989890848867175890122142845548235316
15.6.a.c.1.1
1:
2.497150855213248333490726160382110564872580897300002239306088468047679173043618389749067728385420409
15.6.a.c.1.1
2:
1.306988884930493205420953564471033871503310121794982530947800293639756021980794755674416781448612541
15.6.a.c.1.1
3:
0.5983703157366157042415870816875766092737883368608199722817297024534747654885085502322556926298047608
15.6.a.c.1.1
4:
0.5733094778171052907072293652367743453289388872882101861970021101530644833683643789487582523654172280
15.6.a.c.1.1
5:
0.7207265036477165823612096865722072102351580297513632781825493009710508880538028704179227201120500179
15.6.a.c.1.2
1:
4.554697800582298858252736718527841078243836992950885600552620836444095955966212112395825337666889750
15.6.a.c.1.2
2:
3.808069072294069724258859875356886849094356968638036334448465992052618752800812420466441830596903850
15.6.a.c.1.2
3:
2.438245893074508125697223527506598124389314215747693277158825110141631877364158956530798404726291818
15.6.a.c.1.2
4:
1.670406012247369844865450640753608008498404348130186085070084817994955779330835414114558998476668877
15.6.a.c.1.2
5:
1.314574733894198010571820371920659729780567056290556485446587609864716388271439534186237588597901913
16.4.a.a.1.1
1:
0.8785749639883094440231224865716792749021310570417682936858439973294495055167289429684684643205695271
16.4.a.a.1.1
2:
1.113696743701757495371001182592646176963174645353707784667948216750016269450611298795553292083662797
16.4.a.a.1.1
3:
1.083898416408242955825628854933615197924983787156636126027882019798049938181543622504381560780969469
17.4.a.a.1.1
1:
-0.3972831340858265409741552642673602848444505519140352365543855239050975963699923000455346206878208084
17.4.a.a.1.1
2:
0
17.4.a.a.1.1
3:
0.4612973374884761661963855266302165184675620846795439465917524939684446737021937481040109771078805299
17.4.a.b.1.1
1:
0.6620456433256641908766815507366916547835906972092107429531086899678159936588649775409241575371346252
17.4.a.b.1.1
2:
0.7571109026118463900647530708600321501489403649961601713716143833349327004827686807704795953822671658
17.4.a.b.1.1
3:
0.7687210111869424775079498456844315829464123470993506424192179258685197721284970498626856484881337402
17.4.a.b.1.2
1:
1.022104829096879053854456416000735620902716718953650155294352806538663823507945824440174726919121850
17.4.a.b.1.2
2:
1.259736665820853868166756413718373083472441286681733348874844152935759690848830818262571585016376018
17.4.a.b.1.2
3:
1.186796508191675793072802310352991303250588796060803117608347233301780512358019924067276488344385205
17.4.a.b.1.3
1:
1.175652739501418788178013557652726091510159340986591687089395083476600141483285218606125710481623991
17.4.a.b.1.3
2:
1.472551267300510091798446338780748617807344619838350669524896976653708067575824550354675267224231760
17.4.a.b.1.3
3:
1.365085582580701661479604917893118811861903199049256438755009614343329236886923386194808718868979253
18.4.a.a.1.1
1:
1.124072338798995979991816220764973248426025503817670196321210946450946285958365935257110552916487018
18.4.a.a.1.1
2:
1.339937723991538569131408040460019286781818076474066076273786714655060579411215812592658075082020078
18.4.a.a.1.1
3:
1.232683255794819925574852402993587753273792107633476526885150547018612220718953890979283819135493958
19.3.b.a.18.1
1:
0.6411880046573071061123110873424429968430561650255540101408587590690840608499787383197412555508613512
19.3.b.a.18.1
2:
0.9242478667629142823292486141685485524138014444631200308216447530277114783225136282073466102457549724
19.3.b.b.18.1
1:
0.4650739189608297009923426033306087401112183940400402902760925230460247958728803601948918221117478585 + i * -0.4216117915757504276363688438931681278689215249256503065798305660500246415695452711015981848766562978
19.3.b.b.18.1
2:
0.7883397454612886941104456186860910031034599684129839916911456442600696674728969889373397923590332080 + i * -0.4441650303552351074995782478331034005932310524532281534382485812460586399103149893318669653244435921
19.3.b.b.18.2
1:
0.4650739189608297009923426033306087401112183940400402902760925230460247958728803601948918221117478585 + i * 0.4216117915757504276363688438931681278689215249256503065798305660500246415695452711015981848766562978
19.3.b.b.18.2
2:
0.7883397454612886941104456186860910031034599684129839916911456442600696674728969889373397923590332080 + i * 0.4441650303552351074995782478331034005932310524532281534382485812460586399103149893318669653244435921
19.4.a.a.1.1
1:
-0.4648492295439028180758460798383720314409150711981221279203952957848655307425713377247500728127908151
19.4.a.a.1.1
2:
0
19.4.a.a.1.1
3:
0.4829345264999474485385256048289165212936060329841363833398309552638148980370073283730592862373286847
19.4.a.b.1.1
1:
0.7985549489814791975396424135165437105277177813090651278086626350735612116996409926526552245430786657
19.4.a.b.1.1
2:
0.8560915891892693011606837438536018746865116161612267805589251158546998047000446298661152565556273159
19.4.a.b.1.1
3:
0.8296233093662416129296458466240670074981397010325665300012275762150052285890881175007821330080286995
19.4.a.b.1.2
1:
1.209422362498569737659918035917709670250379576301673996951344786832136400382509131530382424928990214
19.4.a.b.1.2
2:
1.395025057414020601508687641413556031748797599372244032637232403847947643407685665220814776050977448
19.4.a.b.1.2
3:
1.256475818072818268517280187776907856574123921036248569042513002451118894964122698377031543977006695
19.4.a.b.1.3
1:
1.376871850014477516855723003789501137621161201079167094067137399853458525375686917145224598217271215
19.4.a.b.1.3
2:
1.611990039400554197643658165265054056659758997498426115987085466498210193123790633551223090868217791
19.4.a.b.1.3
3:
1.430440049540940482200439957679579637952146063135729008239191668394898502620715270075357842645139193
20.3.d.a.19.1
1:
0.5729147057492282036003187439020177471199675441685447203434574520365296468327019096201334790185788668
20.3.d.a.19.1
2:
0.8049239329154082852167196216846388276581268291725782564036872294512992457366890920349186473023953285
20.3.d.b.19.1
1:
0.7686457364187383072344000070194239732141558753330300247672167502288944630422223132942416746783213856
20.3.d.b.19.1
2:
1.079918778429200042710715538180915932660587142297407868053751267018903341759269364373043944621466848
20.3.d.c.19.1
1:
0.5567476384686173511936585308809960382942218634580372403651989163440956792021498176594044153416681725 + i * -0.3440889637298439802418993403889735083511556522731462798681153687791177685114639640913517870412938401
20.3.d.c.19.1
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0.8560716768540489646340840452675453424503076194479569536749674353314441641598099470589233401283366280 + i * -0.3357084954060832197945791968615082768953557414950424936399474951123745207453572407577352586728021639
20.3.d.c.19.2
1:
0.5567476384686173511936585308809960382942218634580372403651989163440956792021498176594044153416681725 + i * 0.3440889637298439802418993403889735083511556522731462798681153687791177685114639640913517870412938401
20.3.d.c.19.2
2:
0.8560716768540489646340840452675453424503076194479569536749674353314441641598099470589233401283366280 + i * 0.3357084954060832197945791968615082768953557414950424936399474951123745207453572407577352586728021639
20.4.a.a.1.1
1:
1.141416919203637973409805184042013568765779213949461127971062178751320868201373413002841368831870551
20.4.a.a.1.1
2:
1.251186641603151049263130250221007741066256666926396612250609066234583907905973424684712537560072850
20.4.a.a.1.1
3:
1.126533344925008219699049111703169289257929693655957016902665105238461186624475845075210887762426618
21.4.a.a.1.1
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-0.5335328346288925098943671597827387543613144490006784215615376546981025119408212680280704756824556899
21.4.a.a.1.1
2:
0
21.4.a.a.1.1
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0.5015007631218093785347305610945259326564824753609690940354252217795899175231594318940013076418316655
21.4.a.b.1.1
1:
1.508173457035279705416511133475476255492130948692371839937202709502124915907183377601812608120460444
21.4.a.b.1.1
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1.652586624867646016692184794089677826070600374225470413125194588229817991758872078730513341313848115
21.4.a.b.1.1
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1.417626227539195170469361330369768328789906226901438637231595350537900129348231162333803744894204407
21.4.a.c.1.1
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0.7350122395179169987869995615130985100865999334931722082059790556981936727699101384565408042188240985
21.4.a.c.1.1
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0.6948668260431551912915245469292830321631028797103707991418966674957135496262604519201304746995907967
21.4.a.c.1.1
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0.6908838127619599436314904458877692261257713194251299773559945162300910785156648777798543598152284993
21.4.a.c.1.2
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1.401411185662533969421337003197177585341681489988420350683111109711093288870480561212436090213625495
21.4.a.c.1.2
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1.522162913603559576418190063089414290690879397231335541239008055822996904699740041441902974785475925
21.4.a.c.1.2
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1.317273714833409669845984531571972414453158836485509500876725897728131378083230185364485844847257346
22.4.a.a.1.1
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-0.5873730973872169207863526670926790801739407303502230425682065704053920160969960029676798615606259467
22.4.a.a.1.1
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0
22.4.a.a.1.1
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0.5270127370049422337507012129202443469402376993768890420013028502431769806368831522989779996375657053
22.4.a.b.1.1
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1.080538246951237113127855590303852018370080362048598723360066874661179378028693302502809827206066105
22.4.a.b.1.1
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1.077378283572219998696347065713887192394264685876043018125966016666056140701457666207620978217048916
22.4.a.b.1.1
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0.9694986397868463681333293739706842741133950476916073373844818744121047239471809156028909047424995497
22.4.a.c.1.1
1:
1.440021774251641302487732621755161129799587952940735442309052076719012772933818155299455135132832991
22.4.a.c.1.1
2:
1.510919359996889229874062194677291471578912197915280027665970061821012689157981553964737844886128151
22.4.a.c.1.1
3:
1.292040476438045985213183453949701065496125081983100318655645173752273483364705092534569296961352055
23.3.b.a.22.1
1:
0.5116551811539946642823856420413874301607739260633026492317670623947350351146929561067792467204101591
23.3.b.a.22.1
2:
0.6703372086658394037479224774730100252169345534810026315184546380982869219345286736167310940052196234
23.3.b.a.22.2
1:
0.8099211710417785380011884346440670236960741432716629263215218250310024611566146472232103437649547644
23.3.b.a.22.2
2:
1.061105832664497283099074059595904147118033074078515501315990452334359128811518254285460355630439048
23.3.b.a.22.3
1:
0.9450867911032899485346214264282020514960554671378232878975033448451160227090002103989101434399331466
23.3.b.a.22.3
2:
1.238191002124260404007943847943964025511937698771851403028847909716747711000330509962015443073900587
23.4.a.a.1.1
1:
-0.6257084681774247778438342506894026654707257149667999073170625058476086195545189950720218980094899428
23.4.a.a.1.1
2:
0
23.4.a.a.1.1
3:
0.5369995696802428244142029176961827805680849224728865966613902339180072909509613738714931618068464088
23.4.a.b.1.1
1:
0.7920138751317070113167470721588756296549709610563116993918201566858907843627463880663675309734238627
23.4.a.b.1.1
2:
0.6921848951312115698828905349375806333212312712703618092079932040871751775297913572338134144727851435
23.4.a.b.1.1
3:
0.6797272719759768034359866143886714487485108814567417943662357784320401331224450979907035149132778094
23.4.a.b.1.2
1:
1.356057265386474965709795276161784668926908448126221437787642390859460320929791459164629491716110650
23.4.a.b.1.2
2:
1.358868247619129514666978023237753798426137759925627360886475228442212394061920913603471444874247891
23.4.a.b.1.2
3:
1.163804239529352494934011458132562067759869339883590249964984698049023579451423455450881898525678278
23.4.a.b.1.3
1:
1.634956889338333046672482530248642813503850339979573054141262610114568682770673921439780477397379707
23.4.a.b.1.3
2:
1.686762950394729044292473365635597251365495802281037441058987586924580456891114050016041519168555527
23.4.a.b.1.3
3:
1.403163279183041678689363580082639182770604690563052127299591301396948683806569767367770967877136404
23.4.a.b.1.4
1:
1.695086405137682384816399654059282780574471572996532970917132979152714323855570226576403984164385244
23.4.a.b.1.4
2:
1.753612110718757198853085110304350660227957827958819280767462402747792961530385536656068881126198872
23.4.a.b.1.4
3:
1.454768021249879100529768639078985016265223928398130508212212082255562808194402652041190208866603507
24.3.h.a.5.1
1:
0.6482802275417292697699836165743203563740868364729755198812969618295911859494976397115117714756873988
24.3.h.a.5.1
2:
0.8314516957309394855396407245650031132920994694307244900235626764358398893145988469699485453994743680
24.3.h.b.5.1
1:
0.9168066900078295973729188035333505284274766431674980015787163529941908882459798279394486164289335193
24.3.h.b.5.1
2:
1.175850264560802634446444512922368461926008638735112443432029076399838695820249917470242443721303862
24.3.h.c.5.1
1:
0.3577439516445620523938592253718176841044657855416797667464690037057176764390791559531147070315980701 + i * -0.5256907742782986655463417166167282738465557841423178910998176500278510078561660688064107755503244553
24.3.h.c.5.1
2:
0.6761401254910242693018428648237150890202873357067958950454313719493681154724071834288155435474162434 + i * -0.4559969634087339594660241925169359087885202667124678855306229956558418593903492257215326885999766356
24.3.h.c.5.2
1:
0.3577439516445620523938592253718176841044657855416797667464690037057176764390791559531147070315980701 + i * 0.5256907742782986655463417166167282738465557841423178910998176500278510078561660688064107755503244553
24.3.h.c.5.2
2:
0.6761401254910242693018428648237150890202873357067958950454313719493681154724071834288155435474162434 + i * 0.4559969634087339594660241925169359087885202667124678855306229956558418593903492257215326885999766356
24.3.h.c.5.3
1:
0.7994099994978896565802611097856276493568066403503153221363516634252820374925022311159687093895352917 + i * -0.2901848327592702245812049615636090803146745464426728337361088496795755938927119532004867116192638839
24.3.h.c.5.3
2:
1.058167873590100446309690907751522631144682812275274142507334240225046359437933796954015912667141343 + i * -0.2645782695008011131653117393339075165065185453622139022245141322098163662662501454441286327758541978
24.3.h.c.5.4
1:
0.7994099994978896565802611097856276493568066403503153221363516634252820374925022311159687093895352917 + i * 0.2901848327592702245812049615636090803146745464426728337361088496795755938927119532004867116192638839
24.3.h.c.5.4
2:
1.058167873590100446309690907751522631144682812275274142507334240225046359437933796954015912667141343 + i * 0.2645782695008011131653117393339075165065185453622139022245141322098163662662501454441286327758541978
24.4.a.a.1.1
1:
1.390831307310411731815595555044021487033063081801509149308021697955950513083625644452804053324645907
24.4.a.a.1.1
2:
1.347376348927977118955420058010952246328777409626459198718085534988150814644499186318058460979461734
24.4.a.a.1.1
3:
1.143912899316975488841855125680088365409977577102815154051020720844321948332753503276978557103548685
25.4.a.a.1.1
1:
-0.7269694065628408552644085636026326499493057264837828497856541486766214525661528191725921922854031428
25.4.a.a.1.1
2:
0
25.4.a.a.1.1
3:
0.5739920363575946696228476635149595586754261301784115159730156600657456066485461476634351712120648402
25.4.a.b.1.1
1:
1.625553010637193893608835232004109693229619426060265945303186041427231759798415540021816058255613934
25.4.a.b.1.1
2:
1.565244413792656848603499525713962205891899740041299783225588546875409194055839857396155332339458182
25.4.a.b.1.1
3:
1.283485211839112467081989942496068904153929964037137956991932405498603798473746182206968178317125293
25.4.a.c.1.1
1:
1.876342202225182233851601401063941084802460066097578147429438276395437216584109133042628889504973529
25.4.a.c.1.1
2:
1.841899855149810206656884029332884244764871499785130389363011400369009783104267870812151776818538834
25.4.a.c.1.1
3:
1.481500420562508633272038868679862610180598914901460801850174214459375547026441554325443356455947008
26.4.a.a.1.1
1:
1.268795190868618682985462261093814371914800122326033486748827409011575367939138788278116263408973273
26.4.a.a.1.1
2:
1.119117757881704860521476263976900930361486080457182895059050229865031742089585052817221156628535902
26.4.a.a.1.1
3:
0.9632697384521485963249235618198067730880434926130421870326768272168627669172772042025418729940223742
26.4.a.b.1.1
1:
1.718299268718533359204611828742066762308713214228548409028530957997651674404288328154821176179355677
26.4.a.b.1.1
2:
1.609812354952452481391202130309662702595932501129738590177725270401091726158783098331235846228305032
26.4.a.b.1.1
3:
1.304533386533312563205242677788782331630358881136656444502643066982645555867652306779551592658750123
26.4.a.c.1.1
1:
1.799819398801865921253306262297360729195706065559989779195048150320061712334557208411269658913612824
26.4.a.c.1.1
2:
1.703674517950624708454604310187015528236805434181832031676441044238852999475513963204921423007447842
26.4.a.c.1.1
3:
1.366423496890838415310923815878311261876519158092898244958040547564596335815817866223063282576213880
27.4.a.a.1.1
1:
-0.7437486889316187769207425416238831565469793711460372218222245832836804123393676691393012148626449349
27.4.a.a.1.1
2:
0
27.4.a.a.1.1
3:
0.5437411358210329647669696855178232438262532650669299862156537896378673615592475092659901780296953509
27.4.a.b.1.1
1:
1.941927228749123087986768525162697323692754500384595205181280546979880120926184944084074262325178807
27.4.a.b.1.1
2:
1.798681198845604261830704230132376658954199267445732720527810008803830272938019127267568150810583831
27.4.a.b.1.1
3:
1.419707668404267176972076530990667094583447544926539214981183543805974361176749768804388654036311672
27.4.a.c.1.1
1:
0.9692051367484814617611248358123273352912845909789013746569141631579829988088457194658501308310486781
27.4.a.c.1.1
2:
0.7538861621555649429504430411385069095269106054113784715351473281830245856330796858810317852904243957
27.4.a.c.1.1
3:
0.7085682432008315775890110496974580983384595686560028457018482882211541701159833884899835272769345963
27.4.a.c.1.2
1:
2.128621618855544534408508010481617192133154439762404140682113662900485495436217899765353195643981381
27.4.a.c.1.2
2:
2.000665029583803341078931168253413661861669476689064552334889283839660389634139686952971608297060047
27.4.a.c.1.2
3:
1.556196540571158341328287138992746350781801946080893109250417857015678609426453001546204974614726606
28.4.a.a.1.1
1:
-0.8766918741443181471876170848491973686343994898510304204580008139476968633307799012205887680315753184
28.4.a.a.1.1
2:
0
28.4.a.a.1.1
3:
0.6180429985324314621174306452966731229913760301123559872774902189461600414191442738766033050286045560
28.4.a.b.1.1
1:
1.667359050581140296866612888718151133813748582052338778795536917091259675702604551196188876688683325
28.4.a.b.1.1
2:
1.458797723709987772398044424807277382048735942055270135480991611633883036329965836874080041515361694
28.4.a.b.1.1
3:
1.175441015986556913101020570822864554212983505881105629152612032774666208290082317780456332543639028
29.4.a.a.1.1
1:
-0.8370468997243930963255075360725722574885199915186537036889264533419657637573271065427041492940220815
29.4.a.a.1.1
2:
0
29.4.a.a.1.1
3:
0.5697463286509015962349869350931830931446170791496946418439427053528039245778821780722527428188416987
29.4.a.a.1.2
1:
-0.9379382610059231350984847242647638526963459347724156729692266986948086885729914750815360277824683224
29.4.a.a.1.2
2:
0
29.4.a.a.1.2
3:
0.6384192819844247261235335187207133732973810256830929526877706611031811513705599079167521250536772264
29.4.a.b.1.1
1:
0.7242412449023013925302811497660031726463856525029143850359572316667520012235694473631199223027454363
29.4.a.b.1.1
2:
0.4318739589137908474683164073217139337872778407407520387550424654352487859293737555080976648486465605
29.4.a.b.1.1
3:
0.4929637640095303335236367834182025113820079691309715918828726732782998108666051796212674130721677552
29.4.a.b.1.2
1:
1.313316018104358844808601883872242547822040112491623805696789023072023752022394819770120342702525843
29.4.a.b.1.2
2:
1.048381873615812555595608767453814422487970505977799569060613040398038234348048162443116844631706595
29.4.a.b.1.2
3:
0.8939247967106159887915360026877117882431377447083717030044161779584149502468492054495099970656808647
29.4.a.b.1.3
1:
2.091544223549703317561565511599906269087366546863181626423537391846831472264703760040352695251595353
29.4.a.b.1.3
2:
1.855662337960477521870053978553124762773738807415573645280942244834860348437069026202502838254961023
29.4.a.b.1.3
3:
1.423635453366839807468799098958534357396733878556926748728700195888046454208425497655339416460708796
29.4.a.b.1.4
1:
2.022381424427464909746158285569428470562700820901671050415945402552212539190396046579549651703053411
29.4.a.b.1.4
2:
1.775809335953095141603491789491096431100162996194559383153097104367697747647986972358766383201777939
29.4.a.b.1.4
3:
1.376558938428322330299801407632999133513726956112978783029534833290080437674148069257243996802298873
29.4.a.b.1.5
1:
2.320178853565828277404067763626520044988910086656394717781712323313773655278300565496618863605483978
29.4.a.b.1.5
2:
2.081377647842960451849593243089796134047528665492994996983703641029522474150198899134592853118454002
29.4.a.b.1.5
3:
1.579258443066742157771108359550919183960633730695036441218112725089092532420199400626486092124292436
30.4.a.a.1.1
1:
1.465773370681897383981343308261051648085045696757046208675019210392721920693826936167416078147571924
30.4.a.a.1.1
2:
1.164252130440416377857000482694665340723031431616440911340280957315629805537846564961581081297091946
30.4.a.a.1.1
3:
0.9644402206854425517267442380431824027098557279088478868588901018736346266174002036040088288207733234
30.4.a.b.1.1
1:
2.107405311231174703012521116280635455010431265056532464826983848844587770612811164311896552458887453
30.4.a.b.1.1
2:
1.812805007379774013280042428233822753674466056906572276499637544974675636499278581646116047749771246
30.4.a.b.1.1
3:
1.386617115640419427012555652176011081023733707676141864785269603420946892362664456917656333886298439
31.3.b.a.30.1
1:
0.4222805836546734480961996425730976076304640765451692078901659992853349516086761667989431412759789297 + i * -0.5646586469309139419865085392661191851147964901789114142404036345058707558426800603516822329228317451
31.3.b.a.30.1
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31.3.b.a.30.2
1:
0.4222805836546734480961996425730976076304640765451692078901659992853349516086761667989431412759789297 + i * 0.5646586469309139419865085392661191851147964901789114142404036345058707558426800603516822329228317451
31.3.b.a.30.2
2:
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31.3.b.b.30.1
1:
0.5038641623586876299694896036865468930155357441832244641506648133220850043847578711787370812008876766
31.3.b.b.30.1
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0.5686073790912524218763303198946978924741518989398819195800622638568013012857559021125185079862969885
31.3.b.b.30.2
1:
1.132893419058161666508868626857996869830748368427800441240046815446566977235391915353463740021608445
31.3.b.b.30.2
2:
1.278462740403871890394399330337248556072695796676618309394986182914062976817087384116843540566478298
31.3.b.b.30.3
1:
1.236156980773286572796498448349276696297020527630696904444739826423484729463663408728961084776572669
31.3.b.b.30.3
2:
1.394994987721485823243502238410623277377451857395697765964626870319165038083485481724538950541811091
35.3.c.a.34.1
1:
1.026500814368163009447593155221252992850019336451609540037136540423199498659579158760844582333451109
35.3.c.a.34.1
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1.090197406240307429459240327037346741042070096278033484411576404728808197820828076542164191305555643
35.3.c.b.34.1
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1.071151946613515817921987779065926082145842035537943869779600142578774785705710793123529186716483098
35.3.c.b.34.1
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1.137619237648731058825289255501802095685808971739125785377097855106242533333363797101906256395550357
35.3.c.c.34.1
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35.3.c.c.34.1
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35.3.c.c.34.2
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35.3.c.c.34.2
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35.3.c.c.34.3
1:
0.06669419161691564273287374572741203544769616819036141155573747658106478445035076225455361161782042034 + i * 0.7939506934590944759037653083945052310318238323375733312080007763589549881995985163746207731506746760
35.3.c.c.34.3
2:
0.5594425016088361545496916693032730503692623591454289765735912917655074428948844992561313395998460536 + i * 0.6348671913446349714493272583228720239646536603197637328918286838500833028221775304065807665458992831
35.3.c.c.34.4
1:
0.7134809931041414826002793087444293207568663363279027916360587484151467757353628820665366434372207627 + i * 0.8443427673160721703504558622080056164499005604319680881138906019519806839901575664942259284550634269
35.3.c.c.34.4
2:
0.9817475132304532096185465044832305420665213491081216882801442491036070484292275086359109923489155255 + i * 0.6438156170011100993809943208093612219177082059905182048017764874568879419207103375034864788285128269
39.3.d.a.38.1
1:
0.4978840491027068291318267468538870491275368324551643134606385242812828587972838376475907846446547619
39.3.d.a.38.1
2:
0.5009285419792761145162598173526455307252212751380508630210929480694476175831856168229396186784134872
39.3.d.a.38.2
1:
1.644399307791780284560722952091155640123133769344685256367641362204380951907123254740390638554726207
39.3.d.a.38.2
2:
1.654454584693761920958066262729069037120543820943636267315503016489631161719953223741258441495254766
39.3.d.b.38.1
1:
0.9257385701731553888689559886791255415742179356508772843514405145562795417978541515780641621547840310
39.3.d.b.38.1
2:
0.9313993349386403901892813936913063780061708503009257430520646936314499464158137440780432380233660327
39.3.d.b.38.2
1:
1.471725157500590090296884548215837895999863214302053241083794173168147554076308101642122775385586185
39.3.d.b.38.2
2:
1.480724555586054877854919944716999249036940935164020150020704871307834713697479450603994293592008412
39.3.d.c.38.1
1:
-0.08110199934534890379061262997467722513658271941104539059203025670068790163573796265438200890454397827 + i * -0.4826433262652738118329755707405254672986875884462946261630754863717046419580375186654133970879908122
39.3.d.c.38.1
2:
0.4134900581959818662262983889144427758841281090071003919185727619526555360543575323463540391594324086 + i * -0.2673692811791359319588216066014164472162046757469921951655477099566278949458008299866227221200018368
39.3.d.c.38.2
1:
-0.08110199934534890379061262997467722513658271941104539059203025670068790163573796265438200890454397827 + i * 0.4826433262652738118329755707405254672986875884462946261630754863717046419580375186654133970879908122
39.3.d.c.38.2
2:
0.4134900581959818662262983889144427758841281090071003919185727619526555360543575323463540391594324086 + i * 0.2673692811791359319588216066014164472162046757469921951655477099566278949458008299866227221200018368
39.3.d.c.38.3
1:
1.291563348967326290487394476636939900549234037659021750237669511394116419946661307804451491015561569 + i * -0.4163372251284021623315078709618770932984669546818344768148940772280434431461018924210692320264615197
39.3.d.c.38.3
2:
1.342361812321934219264208722980306658285957953174019854715585968708955077800457364626388353581634294 + i * -0.2492526743232178137251788868356377380126626153389084244988059295567935047168897517099742268309982917
39.3.d.c.38.4
1:
1.291563348967326290487394476636939900549234037659021750237669511394116419946661307804451491015561569 + i * 0.4163372251284021623315078709618770932984669546818344768148940772280434431461018924210692320264615197
39.3.d.c.38.4
2:
1.342361812321934219264208722980306658285957953174019854715585968708955077800457364626388353581634294 + i * 0.2492526743232178137251788868356377380126626153389084244988059295567935047168897517099742268309982917
40.3.e.a.19.1
1:
0.8288454392391412846720725861425002850424553919324615182653848099701913610044253740775539511233028225
40.3.e.a.19.1
2:
0.8234238174823788412713095581121362783623477513189646688788124610204171756905571808992242861489527796
40.3.e.b.19.1
1:
1.482683795983513185665056863395831203842663804658974149543269961536893923161369937319889967505277279
40.3.e.b.19.1
2:
1.472985304146383062803793778003493047956792862723583612549249832083964340920353641814096016979082453
40.3.e.c.19.1
1:
0.4973646584989966635719642698496373027720508330761557908704564738166363495690633887820372094536809162 + i * 0.5559232353073140180264064630315980829234406251345708854158349757215407220633305074350194856436899245
40.3.e.c.19.1
2:
0.7044610105625110085183175170252831916216921437166596321629033776096192921186439459772806209275555631 + i * 0.2300031096748946189752741850055102675470138737972066367716666666502693239885099346851014113020771701
40.3.e.c.19.2
1:
0.4973646584989966635719642698496373027720508330761557908704564738166363495690633887820372094536809162 + i * -0.5559232353073140180264064630315980829234406251345708854158349757215407220633305074350194856436899245
40.3.e.c.19.2
2:
0.7044610105625110085183175170252831916216921437166596321629033776096192921186439459772806209275555631 + i * -0.2300031096748946189752741850055102675470138737972066367716666666502693239885099346851014113020771701
40.3.e.c.19.3
1:
0.1980678825086382501700402304753642034988273386367203400109766091463333757745245337399417829084486372 + i * -0.8269946671167701058985813721145041302100352425234389689928848033553904130230421252971726911062312811
40.3.e.c.19.3
2:
0.6312554157353222373027081476546184338610395768993858923813595261053472051183201320723635941708516265 + i * -0.5614606789408411038633715957342993413439835222719396557629124577141775884939514460828697388081980049
40.3.e.c.19.4
1:
0.1980678825086382501700402304753642034988273386367203400109766091463333757745245337399417829084486372 + i * 0.8269946671167701058985813721145041302100352425234389689928848033553904130230421252971726911062312811
40.3.e.c.19.4
2:
0.6312554157353222373027081476546184338610395768993858923813595261053472051183201320723635941708516265 + i * 0.5614606789408411038633715957342993413439835222719396557629124577141775884939514460828697388081980049
40.3.e.c.19.5
1:
0.7234531663447768702521120360510903003265814370925349738245196579412232430795164946461471789079485860 + i * -0.9592779828158811103168417871659430964690063547303516444324587512454120089130526816100820756996808148
40.3.e.c.19.5
2:
1.006063141234042685942616515986763578258039788640051607511580374773525186634326514240997435881982723 + i * -0.6423486560525901552259226757208455405426452494329422134424040891211812554354679232791890035239847624
40.3.e.c.19.6
1:
0.7234531663447768702521120360510903003265814370925349738245196579412232430795164946461471789079485860 + i * 0.9592779828158811103168417871659430964690063547303516444324587512454120089130526816100820756996808148
40.3.e.c.19.6
2:
1.006063141234042685942616515986763578258039788640051607511580374773525186634326514240997435881982723 + i * 0.6423486560525901552259226757208455405426452494329422134424040891211812554354679232791890035239847624
40.3.e.c.19.7
1:
1.358371274029354792022787381390192832396320550585924803976210201583635180017896096272006515495923303 + i * -0.08457744724849438301239304187761081439996549032822421694414297144363132069336670451035964767638986166
40.3.e.c.19.7
2:
1.349228062995807878913277291899449106163112514643205547081989145126220071972266683824058361140841971 + i * -0.08806805715726683544134166885731053408006702230192924235586309070822078265172503572612786742289418534
40.3.e.c.19.8
1:
1.358371274029354792022787381390192832396320550585924803976210201583635180017896096272006515495923303 + i * 0.08457744724849438301239304187761081439996549032822421694414297144363132069336670451035964767638986166
40.3.e.c.19.8
2:
1.349228062995807878913277291899449106163112514643205547081989145126220071972266683824058361140841971 + i * 0.08806805715726683544134166885731053408006702230192924235586309070822078265172503572612786742289418534
Definition
For an embedded normalized cuspidal newform $f(z)=\sum_{n\geq1}a_n e^{2\pi inz}$ of weight $k$ and exact level $N>1$, this table gives the critical arithmetic values $L(f,s)=\sum_{n\geq1}a_n n^{-s}$ by analytic continuation, for integers $1\leq s\leq k-1$ [4].
Parameters
$f$
—   embedded normalized newform (a full LMFDB label $N.k.a.x.n.i$ of an embedded normalized newform with $N>1$, integer weight $k\geq2$, and $\chi(-1)=(-1)^k$)
$s$
—   critical integer ($1\leq s\leq k-1$)
Formulas
(1)
With $\bar f(z)=\sum_{n\geq1}\overline{a_n}e^{2\pi inz}$, the completed function $\Lambda(f,s)=N^{s/2}(2\pi)^{-s}\Gamma(s)L(f,s)$ satisfies $\Lambda(f,s)=\varepsilon_f\Lambda(\bar f,k-s)$, where $|\varepsilon_f|=1$ [4]. For trivial character and even weight, $\varepsilon_f=(-1)^{k/2}w_N$, where $w_N$ is the Fricke eigenvalue.
(2)
The Mellin identity is $\int_0^\infty f(iy)y^{s-1}\,dy=(2\pi)^{-s}\Gamma(s)L(f,s)$ [1]. If $I_f(s,T)=\int_T^\infty f(iy)y^{s-1}\,dy$ and $T=N^{-1/2}$, then $(2\pi)^{-s}\Gamma(s)L(f,s)=I_f(s,T)+\varepsilon_f N^{k/2-s}I_{\bar f}(k-s,T)$.
(3)
For real $s$, $L(\bar f,s)=\overline{L(f,s)}$.
Comments
(4)
The embedded form is identified by its full LMFDB label $N.k.a.x.n.i$ [3]. Here $N$ is the exact level, $k$ is the weight, $a$ labels the character orbit, $x$ labels the newform orbit, $n$ is the Conrey character index and $i$ distinguishes embeddings with that character. The attached roster fixes an exact coefficient-field polynomial, a rational isolating rectangle and Fourier coefficients through the Sturm bound for every embedding. Software list positions do not define these labels.
(5)
The weight-three slice uses the primitive Kronecker character $\chi_D(m)=(D/m)$ for negative fundamental discriminants $D$, with $N=|D|$; its value is zero when $m$ is not coprime to $N$. The weight-four and weight-six slices have trivial character. Each newform occurs at its exact level, with all coefficient-field embeddings and both members of every conjugate pair.
(6)
The form belongs to $S_k^{\mathrm{new}}(\Gamma_0(N),\chi)$ with $a_1=1$. The stored function is uncompleted and has arithmetic centre $s=k/2$. The completion in (1) is half the convention using $\Gamma_{\mathbb C}(s)=2(2\pi)^{-s}\Gamma(s)$; the uncompleted $L$-values are the same in both conventions. The level-one critical-value table uses the same arithmetic normalization with a different form index.
(7)
For a form with real Fourier coefficients and root number $\varepsilon_f=-1$, the functional equation forces $L(f,k/2)=0$. Such central critical values are included as exact zeros. No derivative is substituted for a vanishing value.
Programs
(P1)
PARI/GP
\\ Example: all critical values for the unique newform 5.4.a.a.1.1.
default(realprecision, 160);
mf = mfinit([5, 4], 0);
f = mfeigenbasis(mf)[1];
L = lfunmf(mf, f);
vector(3, s, lfun(L, s))
References
[1]
K. Belabas and H. Cohen, Modular Forms in Pari/GP (2018), sections 2, 6 and 9.2. (arXiv)
Links
Similar tables
Critical values of level-one cusp forms —   uses the same arithmetic L-function normalization for level one, with embeddings ordered by the coefficient of the second Fourier term
Hecke polynomials of weight-two newforms —   records characteristic polynomials of Hecke eigenvalues in weight two, rather than the higher-weight critical periods stored here
Leading L-values of rank-one elliptic curves —   records leading central Taylor coefficients in the rational weight-two case
Data properties
Entries are of type: complex number
How well the digits are known: heuristic (agreement-checked)
Table is complete: no (it holds all $418$ critical values of every embedding in three disjoint slices: weight $4$ with trivial character and exact levels $2\leq N\leq30$ ($61$ embeddings), weight $6$ with trivial character and $2\leq N\leq15$ ($27$), and weight $3$ with primitive quadratic character $\chi_D$ at $N=|D|$ for negative fundamental $D$ with $|D|\leq40$ ($50$). These noncanonical level bounds balance low-conductor coverage across weights, characters and coefficient fields; the shorter weight-six range offsets its five critical integers per form. Every critical integer $1\leq s\leq k-1$ is included, including $17$ exact zeros. Empty newspaces contribute no entries)
How they were obtained:

The nonzero values are recorded to 100 significant digits after fresh PARI/GP lfunmf and lfun computations at 160 and 220 decimal working digits, with explicit bit precision passed to every numerical call [4]. The largest discrepancy, divided by the maximum of 1 and the two absolute values, was less than $3.4\times10^{-170}$. These are agreement checks, not certified numerical error bounds [5].

more

Every reconstructed orbit matches 100 exact LMFDB Fourier coefficients under an exact coefficient-field isomorphism. Rational isolating rectangles identify all 138 embeddings, and the generator rechecks their Sturm-bound coefficients. Exact newspace dimensions, including empty spaces, agree with the 90-orbit catalogue selection [6] [7]. Catalogue floating-point coefficients are not numerical inputs to the L-value computation.

An independent implementation reconstructs coefficients from the catalogue's exact Hecke eigenvalues by Euler recurrences and evaluates the split Mellin identity (2), using finite exponential sums for the integer incomplete gamma functions. Calculations with 450 terms at 150 working digits and 600 terms at 190 working digits agree throughout. The 600-term calculation differs from PARI by less than $3.2\times10^{-199}$ on the same scale. For odd weight its root number is recovered separately from the Fourier value at $i/\sqrt N$. Exact eta-product coefficients through index 100 for forms 3.6.a.a, 5.4.a.a and 7.3.b.a provide nonzero controls before the numerical comparisons.

The functional equation and conjugation identity are checked for every value. The 17 central zeros follow from exact Fricke eigenvalues, verified on Fourier coefficients through the Sturm bound. An exactly vanishing imaginary component is established by conjugation of the exact Fourier coefficients. Reproducible code, the full argument-selection explanation, the roster, source hashes and numerical evidence are attached.



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