-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '846903619726137116036928078378,1001996387557662269648438227619,1072869790440627965198025871331,1514845434485876679133599868443', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 4484, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7036388.224067563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1]]], 'bad_primes': [2, 5], 'central_character': '100.1', 'coefficient_field': '1.1.1.1', 'conductor': 100000000, 'conductor_radical': 10, 'degree': 8, 'euler_factors': [[1], [1, 0, -4484, 0, -587274858, 0, -1737193472676, 0, 150094635296999121], [1], [1, 0, 31230700, 0, 3486762586041798, 0, 50856496552261859584300, 0, 2651730845859653471779023381601], [1, -205440, 25222485164, -1991430806037120, 114689322324390649686, -4695689670881495964289920, 140234931952624545558776247884, -2693317206701745694609106418618240, 30912680532870672635673352936887453361], [1, 0, -13506080684, 0, 64066498776709104822, 0, -1518831799645191063330581220236, 0, 12646218552730347184269489080961456410641], [1, 0, -419518771196, 0, 71880569747876619441222, 0, -5899727908557024949599355828176764, 0, 197770344305988984840145602058543169130838081], [1, 274544, 242063925292, 119233871520173552, 232872725864416008668470, 38475303498121878449404941008, 25205475143367500714052591388514572, 9224847229037405324311760532990603601616, 10842505080063916320800450434338728415281531281], [1, 0, -5330064218900, 0, 13224664849992277295221638, 0, -17291532685544540832611075645866774100, 0, 10524515126174167358877236351104092889324551536161], [1, -13787496, 127915760803532, -754219401614579326968, 3415501247680609475873116470, -10941570957055269644545099588935192, 26920803646216271923377919894488126628652, -42095080340030423154490687590120125945096697864, 44292268542362921407825091617016319887724139383235921], [1, -583664, 78015037517020, -38174285917789376816, 2920876971219087646482551494, -1009313695919774891327740514403536, 54536694390634141258206058126435715001820, -10787694540605407773668949978303553343965209104, 488675963633769261467693849486036510107332864779998081], [1, 0, -310941286370060, 0, 48725402097916502646187267158, 0, -5251815058716086432732340883409633193885740, 0, 285273917723723876056171083405292782327767461712708093041], [1, -59546904, 2428483248895100, -65405982130155161410536, 1389238946976597530636984941734, -21412736950707042588641501201080173096, 260282238489135231325990077579149295756247100, -2089408310371718681876968232496677748414877700289624, 11487323243342943712727117998313670374759563626306467569441], [1, 0, -1540458208886372, 0, 1070941241112499719015073683894, 0, -389118716962522035547861128185528257023087428, 0, 63806423321775344604618774305037646254726223988233042609201], [1, 0, -2450505224578676, 0, 3862996326667909653811701150822, 0, -3069142658823929368884039479118101384977093364, 0, 1568638556854706336108974223356857608957236560013645822451521], [1, 0, -11327676942925580, 0, 53774921919069547837648677405078, 0, -123340728033982407748628457784356173891043144620, 0, 118558120445975157028044470669508269904542112710719750776396721], [1, -185861712, 41949099907859660, -4705920742600464534802512, 577163009658339892787950412939094, -40767371716069369735089482553853838406768, 3148174930779882057805268830127878627093855194860, -120835417657996264069055810714972832178981378780972428528, 5632126739027588519658984775872141857619309476789431335641625841], [1, -391347848, 83156811125900428, -13356079570050284370685016, 1672299861281889014625065432674870, -156187945719685426785576173474605041931256, 11371947785951731545598093406352860899849886873068, -625847461878539393195765086151285783867209112978569994408, 18701397461209715023927088008788055619800417991632621566284510161], [1, 0, -83008173082523780, 0, 3162673243940692420747074604052118, 0, -61442277329131227871921055542627103397515428698020, 0, 547889398733702676213614311297941818478464344374520135510515030481], [1, -622414032, 249661080058211708, -76092690552800699355166224, 18922828218377689767605436335232870, -3488735777478802658227855408905498476728944, 524808816000426795955551632803133493294283304755388, -59986675047495548754041954773638344176304854915221481371312, 4418761423445010359012517479030513507821439762288727229544623559521], [1, 0, -60959480039527964, 0, 7025830403301124577621448133129062, 0, -211277250353496906039481499193902448293832417911516, 0, 12012211336350227316446820100278887925603925639507433655692782073761], [1, 1084523552, 920279826025905340, 469563550928813752423336352, 197254641499849192246064579713630534, 56277940994083806763213835078982382573832288, 13219272189196626901649203380681210310388432829863740, 1867112354442392313531693061250790705004014119483858806335968, 206336132715709669990485567530001552309415935666586885734738159549121], [1, 0, 43663493653967740, 0, 69180344673661619543608801592741718, 0, 1525893225198284270524963093530013254020933884285660, 0, 1221268978022589508833760255513684608154133797863046939086649799003281], [1, -924583704, 532920092496088892, -471500309732151386789079912, 420724356732747071930657817094263270, -165193152864721948501299615549988576459021608, 65415733311932270857091364995034887479189588626051452, -39762750126553060611583713205301189732402615531707066712774616, 15067466661578195724088403821109198918255739721817916514744422568289761], [1, 0, -1302744298917711740, 0, 1103896137547937827170581370361644678, 0, -752922712330240274183816821792998680015477548033524860, 0, 334027661875095082935878165689897695724025886105865253311336914562753921], [1, 2373640296, 5988651365438759660, 8031781433732611654319014584, 10717648677392189937815997401409673494, 8784241067493038531048583344906868210138380184, 7163310213537071090556109310538284652648623100045947660, 3105217308683653715754805486239027519949258504207876034441399496, 1430768783591580504260467570192606659308868671266092320119567817646303601], [1, 0, -5083480139896945940, 0, 9861639630707550688109747508116907078, 0, -8654284656317011482671038597160663659364510671772360660, 0, 2898278328002669626075520940909881169985726262104521260271822975800644321], [1, 0, -6034970907891515876, 0, 15716872027399299128669535214625340342, 0, -20397792954689412866050665801986446301055005273493065924, 0, 11423942188538511596885360939762740188135840651026045719095671542305476401], [1, -2907242872, 11801054631749063500, -20396962931082124712790381352, 42077254827215597455016081073297878134, -44300026711051175072251818284791847268880113928, 55666995748938925338561048659321389216043804433064883500, -29784942003128646236591771286255787697859980850393075231661015768, 22251225031182762233435645182872835048053225271229279444003393765438129041], [1, 0, -3822462767653041020, 0, 13508864386353329740551248214370306758, 0, -34494928302179813881111295102126798228258519909628739580, 0, 81437412307162418325296884344693834747274900130615053989566110375601595841]], 'euler_factors_factorization': [[1], [[[1, 0, -4484, 0, -587274858, 0, -1737193472676, 0, 150094635296999121], 1]], [1], [[[1, 0, 31230700, 0, 3486762586041798, 0, 50856496552261859584300, 0, 2651730845859653471779023381601], 1]], [[[1, -102720, 7335543382, -242208386819520, 5559917313492231481], 2]], [[[1, 0, -13506080684, 0, 64066498776709104822, 0, -1518831799645191063330581220236, 0, 12646218552730347184269489080961456410641], 1]], [[[1, 0, -419518771196, 0, 71880569747876619441222, 0, -5899727908557024949599355828176764, 0, 197770344305988984840145602058543169130838081], 1]], [[[1, 137272, 111610161654, 44295985649518888, 104127350297911241532841], 2]], [[[1, 0, -5330064218900, 0, 13224664849992277295221638, 0, -17291532685544540832611075645866774100, 0, 10524515126174167358877236351104092889324551536161], 1]], [[[1, -6893748, 40195999658014, -100008608556854967012, 210457284365172120330305161], 2]], [[[1, -291832, 38964935800398, -7715927814392939272, 699053619999045038539170241], 2]], [[[1, 0, -310941286370060, 0, 48725402097916502646187267158, 0, -5251815058716086432732340883409633193885740, 0, 285273917723723876056171083405292782327767461712708093041], 1]], [[[1, -29773452, 771012402449398, -9747290309345746923372, 107178930967531784356353269521], 2]], [[[1, 0, -1540458208886372, 0, 1070941241112499719015073683894, 0, -389118716962522035547861128185528257023087428, 0, 63806423321775344604618774305037646254726223988233042609201], 1]], [[[1, 0, -2450505224578676, 0, 3862996326667909653811701150822, 0, -3069142658823929368884039479118101384977093364, 0, 1568638556854706336108974223356857608957236560013645822451521], 1]], [[[1, 0, -11327676942925580, 0, 53774921919069547837648677405078, 0, -123340728033982407748628457784356173891043144620, 0, 118558120445975157028044470669508269904542112710719750776396721], 1]], [[[1, -92930856, 16656477955483462, -805059616952024249897784, 75047496554032956760519149093721], 2]], [[[1, -195673924, 22434263296171326, -2288239453814124650639284, 136753052840548005895349735207881], 2]], [[[1, 0, -83008173082523780, 0, 3162673243940692420747074604052118, 0, -61442277329131227871921055542627103397515428698020, 0, 547889398733702676213614311297941818478464344374520135510515030481], 1]], [[[1, -311207016, 76405636625293726, -14268375096662379085601496, 2102085018129621311776010144838961], 2]], [[[1, 0, -60959480039527964, 0, 7025830403301124577621448133129062, 0, -211277250353496906039481499193902448293832417911516, 0, 12012211336350227316446820100278887925603925639507433655692782073761], 1]], [[[1, 542261776, 313115996157615582, 64990939293969074791074544, 14364405059580771582276370834385761], 2]], [[[1, 0, 43663493653967740, 0, 69180344673661619543608801592741718, 0, 1525893225198284270524963093530013254020933884285660, 0, 1221268978022589508833760255513684608154133797863046939086649799003281], 1]], [[[1, -462291852, 159603168035249494, -161966910729993003531217068, 122749609618842355502421774953773681], 2]], [[[1, 0, -1302744298917711740, 0, 1103896137547937827170581370361644678, 0, -752922712330240274183816821792998680015477548033524860, 0, 334027661875095082935878165689897695724025886105865253311336914562753921], 1]], [[[1, 1186820148, 2290054650870008878, 1298007717192673561810233348, 1196147475686664860781049986817531801], 2]], [[[1, 0, -5083480139896945940, 0, 9861639630707550688109747508116907078, 0, -8654284656317011482671038597160663659364510671772360660, 0, 2898278328002669626075520940909881169985726262104521260271822975800644321], 1]], [[[1, 0, -6034970907891515876, 0, 15716872027399299128669535214625340342, 0, -20397792954689412866050665801986446301055005273493065924, 0, 11423942188538511596885360939762740188135840651026045719095671542305476401], 1]], [[[1, -1453621436, 4844019676275180702, -3157110627701679053194462604, 4717120417286669419611030657597553321], 2]], [[[1, 0, -3822462767653041020, 0, 13508864386353329740551248214370306758, 0, -34494928302179813881111295102126798228258519909628739580, 0, 81437412307162418325296884344693834747274900130615053989566110375601595841], 1]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '8-10e8-1.1-c9e4-0-0', 'load_key': 'CMFs-workshop', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9, 9, 9, 9], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/100/10/c/c', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0439453125', 'prec': 40}, 'plot_values': [21.046042516999613, 20.365783645011206, 19.478731601782528, 18.25892297145181, 16.619552854731037, 14.561155934740258, 12.250126577205192, 9.879138572996986, 7.613997434001663, 5.578318678412724, 3.844060317237875, 2.448795681379191, 1.4001506437546833, 0.6783077173583398, 0.2400681762440559, 0.023333421317962837, -0.043392629572420176, -0.03079630229997516, 0.0003308918400267239, 0.006015527225840829, -0.036865117417485535, -0.12958761729005447, -0.2537619124916605, -0.3761517309410002, -0.4554192657763572, -0.450097279382039, -0.3267569036618949, -0.06636289404523096, 0.33110816701611084, 0.8445332115654882, 1.4334253339173149, 2.042203812523216, 2.6061749481063305, 3.05981386356001, 3.347860812146206, 3.4319634830374515, 3.295894713670629, 2.949927406978089, 2.4335935053375466, 1.8095201668957264, 1.1561469466185876, 0.5595579542677265, 0.10350591070286677, -0.14331537236458236, -0.13663433979196768, 0.13683090835376976, 0.6555082464228368, 1.3638750360700287, 2.177864413993506, 2.9938633157896604, 3.701459643570887, 4.196703507348117, 4.394733007090438, 4.241509333664199, 3.7240514916597083, 2.8716640730864653, 1.753423278435713, 0.4722275282959726, -0.8456112674892767, -2.066976770738795, -3.0673934656570623, -3.745773930938017, -4.038889576878035, -3.928839932183534, -3.4447565789008583, -2.660417484144539, -1.6878842776023688, -0.6611163101228617, 0.28106232551054333, 1.0112892621859546, 1.428455210656943, 1.4720577385645919, 1.1297317031076581, 0.4381389316508995, -0.5238615993492165, -1.6448668946154437, -2.7946117377671924, -3.84121857155009, -4.672011158990733, -5.204510475908977, -5.394072615115175, -5.239064002789107, -4.78284035861927, -4.100980457105767, -3.2877953459616203, -2.443174024767107, -1.659461484102831, -1.0062767964792438, -0.5224078126328383, -0.2136969071643596, -0.05613540223445822, -0.003931143882261395, -0.0014735003387430653, 0.0032697905006603646, 0.046314158714418754, 0.13881006710276209, 0.26309483234516523, 0.3746573997603341, 0.4115287333569914, 0.3068898177409679, 0.0035314929640614685, -0.5305484783617368, -1.287710680322635, -2.216661342409788, -3.2238135104644647, -4.180859617068743, -4.9422769923912355, -5.367234581065003, -5.340108283445577, -4.791317439123298, -3.719528100562889, -2.1932329044275933, -0.34389859543935775, 1.6457707627935645, 3.559012536547663, 5.181369178247539, 6.332298633507637, 6.890166672421428, 6.810698077865576, 6.138643420944239, 5.003104797088351, 3.5996538215559286, 2.1619396211289374, 0.9284821634140105, 0.10754650218286775, -0.1550879305031322, 0.2013603650053642, 1.1456880901846695, 2.5582034528154685, 4.247689427424333, 5.986991685748596, 7.545123047907872, 8.7167221725571, 9.352863172124616, 9.393068194019252, 8.85934350884372, 7.843624085370182, 6.493461101506697, 4.993659112827594, 3.52404734052466, 2.2313507057542195, 1.213145274245082, 0.5101378558406847, 0.10467042113393933, -0.06535304773648315, -0.08554652678522671, -0.04267032789736792, -0.0042855991575714335, -0.005249373693018272, -0.04392884799586785, -0.08832505924419314, -0.0904442298400051, -0.005516239150655852, 0.18880343310733663, 0.48019897891440505, 0.817453492202673, 1.115502892488387, 1.2722659395918496, 1.198875391296965, 0.8424770012821717, 0.20556717991047688, -0.6390990872147396, -1.5447696329921408, -2.3147236783572716, -2.7330058831498594, -2.600887153359475, -1.7806589936794437, -0.2311817209395091, 1.9741497170398175, 4.646320278217918, 7.500380498069252, 10.196526990899248, 12.39011139796418, 13.787861356054382, 14.207988209693596, 13.603961840328958, 12.070399795369655, 9.833627391373224, 7.22312547900104, 4.603278240396492, 2.312789446927893, 0.6129509902847017, -0.35351413490345873, -0.5820495398992872, -0.19647614566328217, 0.5820701025680398, 1.485889598952895, 2.2574680138122045, 2.697141633846601, 2.6991776015924804, 2.2727133708362435, 1.5254958324883343, 0.6312487105852039, -0.21133975734284244, -0.8246711661023098, -1.0954630115739514, -0.9967178143060834, -0.5898644524751995, -0.007297969455975623, 0.5838758273973941, 1.0229406163213612, 1.1939289001042501, 1.0550905550426044, 0.6449679033040376, 0.06933263358267118, -0.5264816041796037, -0.9965342650026967, -1.2339894242168068, -1.1979111181677375, -0.9244406108947208, -0.519602537317181, -0.12885804099480588, 0.10198461155907297, 0.06629077873011914, -0.2727317438433179, -0.868297529922058, -1.59736584894715, -2.2885072703080342, -2.769834635093368, -2.9110506956376003, -2.6563217010140683, -2.044233304339547, -1.206641734182935, -0.33057845125025825, 0.38937706132624506, 0.8019476485398325, 0.84727918018498, 0.5809095601222038, 0.16793174572609215, -0.1493347344099316, -0.10788636809531209, 0.5064400337182204, 1.7969351343170565, 3.7143711739421463, 6.055137893433963, 8.48913665348305, 10.612683431972645, 12.031397885550897, 12.473256075005102, 11.828921630227967, 10.170582550570087, 7.756915432191706, 5.008549741995971, 2.3906435107914903, 0.31993607984393807, -0.9064771027936738, -1.1715952961572247, -0.5637448566177556, 0.6581435774767431, 2.128864755631077, 3.4555780041784367, 4.311478047317067, 4.504124008361911, 4.00716593583947, 2.9545808409504084, 1.5961590535978594, 0.22925530761834118, -0.8758433997731768, -1.5387043937936566, -1.7016737877794021, -1.4307541964172499, -0.8865075518333535, -0.26712779716434104, 0.24980965611111686, 0.5497692782632984, 0.6051398593683924, 0.4747329068442124, 0.2656252239840339, 0.0862188582690628, 0.00328959848315505, 0.011833133900925608, 0.030054825094975233, -0.0755577419987489, -0.4451348414013341, -1.1728844264991594, -2.2630395076213854, -3.6081643154912943, -5.000456676559407, -6.183595023918841, -6.909968304931181, -7.001506935730121, -6.4054996410597, -5.2260660917678345, -3.6892882100659308, -2.090061657683185, -0.7225404229983928, 0.2027990384665363, 0.6109287124143226, 0.5720666278292547, 0.27769463191398713, -0.02197388516300146, -0.11707823096020896, 0.08346070958113548, 0.502896317271781, 0.8861270539349381, 0.8546383688798772, 0.004282973184483728, -1.9810800544385596, -5.22370865226564, -9.580359932035439, -14.629903152742436, -19.73173675765442, -24.16691032909562, -27.26536605222449, -28.529286761432896, -27.74943692290239, -25.091524664299083, -21.010754310079367, -16.1450766604648, -11.199881639772633, -6.818082044950904, -3.4353810439082166, -1.226085890169783, -0.11246327610590381, 0.17787553516561722, 0.009457979136606943, -0.26813554724586736, -0.40428476353071746, -0.2936351246064321, 0.029717290922123173, 0.43764205025999847, 0.77320063354178, 0.919099406848167, 0.8373017901961134, 0.5737864696557156, 0.23473616179591603, -0.058427860411266526, -0.22095004481163608, -0.23389507398425713, -0.14485627351164995, -0.039614896428269764, 0.007726980830441004, -0.017152381021127025, -0.0404613212259195, 0.09335282858773183, 0.5769564446319537, 1.570183498358178, 3.12373844981787, 5.128692290081221, 7.309729452601966, 9.263113532305717, 10.545806080717862, 10.81994215648382, 9.944714819492228, 8.028517746321421, 5.43866650994394, 2.750617697387116, 0.5929560483236965, -0.5083602110867084, -0.26305393601573707, 1.3011369588155766, 3.8384639917845758, 6.759984481391136, 9.375824882535033, 11.09717026959137, 11.560182087610503, 10.691468767175378, 8.726780964168706, 6.164352860597492, 3.577793492418365, 1.4630099594359522, 0.13098816237755334, -0.3558208657760489, -0.177874265546797, 0.3342783951606904, 0.8244112983133199, 1.0291810648070447, 0.861748820633228, 0.4277579333528009, -0.028113733706772375, -0.22572166295547932, 0.04206909690809571, 0.8214861039439183, 1.9608565062684256, 3.16095119960816, 4.06473971434819, 4.358273063037186, 3.8788947837642067, 2.70570418000372, 1.114498084229847, -0.503911579367148, -1.7423100034580998, -2.2974478416374198, -2.0692511883788596, -1.1746577408405532, 0.09609074886261668, 1.3609446895715827, 2.2739834743539484, 2.626217413126467, 2.3936175275858065, 1.7248643288496304, 0.8762602384647259, 0.11879759996037746, -0.3524272701838504, -0.47749520434760206, -0.328905152764463, -0.06338352735137795, 0.1519004830068288, 0.21653596833681912, 0.1379169336519881, 0.021316356321150403, 0.018039361218156105, 0.24635323103266954, 0.7203189410024524, 1.3230859846675043, 1.83571431158367, 2.024719819638112, 1.7567237668499933, 1.0949703544660705, 0.34205888242520105, 0.0017692366296522051, 0.6540008160093298, 2.771723476254418, 6.5300568346417025, 11.70708033133865, 17.661870677225583, 23.396726694215126, 27.75996020286744, 29.838563949304056, 29.112326912319087, 25.544106133400717, 19.648224761415126, 12.4898174808973, 5.316522807716596, -0.7381408219626803, -4.866891391982534, -6.737530975115354, -6.539266349731243, -4.86657044743466, -2.5212686488612044, -0.28050110098047587, 1.301792441172292, 1.985701103491861, 1.8440047947916363, 1.178544899574847, 0.362234442539167, -0.2938497332035419, -0.6232731146263901, -0.6291164005814768, -0.4331671840960471, -0.19261372973719557, -0.02595649054349865, 0.02948485713508872, 0.014178403198105026, -0.0010586672017983444, 0.024833640644123706, 0.061006734214978216, 0.0038960401593815066, -0.279547836606466, -0.880007965089926, -1.7773311236916152, -2.8129784283338273, -3.714748627239644, -4.177942915522634, -3.9945608142528104, -3.1429379366809957, -1.8233154950995687, -0.4288644858689421, 0.5579470884692574, 0.7397165474195333, -0.04611339408445621, -1.6441801830450258, -3.614943242583864, -5.351551015800522, -6.25789092932484, -5.957817606733632, -4.476294354020276, -2.2227040768617274, 0.11874719194929127, 1.7742069721616256, 2.139614409851013, 0.9926530692766973, -1.4326254243635015, -4.49598695194802, -7.326052377952068, -9.094930796811786, -9.26175535101201, -7.736477871437278, -4.910148410399271, -1.5046808844975135, 1.6419800010425996, 3.81775544526991, 4.665813131833474, 4.237397701299394, 2.917831770764043, 1.2803955881709073, -0.10913945563568404, -0.8940130279328232, -1.0038755276794957, -0.6250737501252605, -0.08698277558639211, 0.3015243511106188, 0.38393892665569895, 0.21302764829802834, 0.0169314935851258, 0.08445768136577789, 0.6259063745109723, 1.6632375819855099, 3.005998236396752, 4.309048532885911, 5.182885104096676, 5.337715460998125, 4.723064903521142, 3.517506473466491, 2.0557829305968114, 0.7227367780526659, -0.17744789808941225, -0.5379312258031058, -0.4564189587522256, -0.1652929687755544, 0.08310063842356745, 0.14242657928394428, 0.04245133151877445, -0.025117046203462497, 0.2019556640562251, 0.9253009525466253, 2.1644134966801554, 3.701451083030545, 5.150246690954406, 6.075443878402084, 6.1334407596272, 5.22021776958144, 3.5732809918505968, 1.6526195426379149, -0.02077716262918953, -1.026389282258721, -1.193095349405481, -0.6793978053756274, 0.1111754518128021, 0.7087752949766568, 0.7810545529633123, 0.29491145535128654, -0.4361416258748198, -0.8534887728351594, -0.37828327765134445, 1.3460869845827441, 4.254965997825615, 7.787437070634609, 11.046653188220857, 13.052179716284659, 13.01075794444231, 10.597189125958305, 6.179237708758594, 0.6551865141252532, -4.807980452819592, -9.069608423833913, -11.333868707554064, -11.378277844611683, -9.553404640234081, -6.626515259407275, -3.5276047382371054, -1.0377460560289857, 0.41594016801756, 0.8220737135904881, 0.49747412077253594, -0.09455561273096942, -0.5384275658981722, -0.6147852163558356, -0.35004894917766094, 0.06469467948792051, 0.3963435387380051, 0.49058903050908353, 0.35225782574390313, 0.12206784197425762, -0.010837899171168947, 0.08791025480794723, 0.42013710038856295, 0.8469834373832652, 1.1538675523607718, 1.1596876637190807, 0.829014946109329, 0.2976652115486703, -0.17435137107545434, -0.3061665172505379, 0.06298315414334618, 0.8798953757188512, 1.884418630052287, 2.6994399047830857, 2.9805168385094896, 2.580107631975647, 1.6252032695647256, 0.48193093752412947, -0.3955413843198861, -0.6691169160744795, -0.2819235648301697, 0.474675048323218, 1.0373900629905688, 0.7977443035143609, -0.6348878742917078, -3.224333377841001, -6.456205868334999, -9.469189353092546, -11.324603106932631, -11.35382846782127, -9.486982014448746, -6.302165015494973, -2.8781738472387675, -0.48335124632016685, -0.15759752865987448, -2.341373812148593, -6.7007485462063565, -12.188765658107325, -17.40919947657034, -21.02809322915662, -22.12563686731437, -20.460231815665388, -16.573804846310097, -11.494386939977455, -6.386604213212458, -2.2257387579405927, 0.46496989690573143, 1.6633518414482509, 1.7280733133912725, 1.199922590396661, 0.5827128251942949, 0.1668234193141939, 0.008404645304335118, 0.0069011175068817605, 0.028608159322530472, 0.012224731215597216, 0.000982012852768105, 0.10046273901740196, 0.38741278807576407, 0.8328000237111673, 1.288530807207803, 1.544705885213863, 1.4449482890352625, 0.9943724775491786, 0.3965847641434402, -0.0007485027223805573, 0.15847588947578142, 1.0700066488096134, 2.6452463319564044, 4.495027449992701, 6.073983678762905, 6.868020477178118, 6.574714898057109, 5.246275990714172, 3.32239317652954, 1.4077758787341683, 0.03773716989509726, -0.511273646778525, -0.33297674629747176, 0.1656113954957724, 0.4829349935041092, 0.2794032207711234, -0.42213517487176816, -1.1867170826999487, -1.3205735031745323, -0.1705878230693789, 2.577274297848198, 6.694024025835498, 11.36366528542865, 15.389655833421376, 17.705848899042362, 17.67502385861101, 15.262633991914468, 11.1120711970696, 6.433255692223039, 2.4521221879873694, 0.004057412196339288, -0.68081984907058, -0.013238634620056646, 1.1486342250477857, 1.8791501781962168, 1.557006807566921, 0.08429428285627656, -2.106485278280015, -4.243687028497433, -5.543617514095128, -5.557265599144895, -4.297616680210304, -2.206624634893139, 0.01759350632463234, 1.7189433072230045, 2.522409127054193, 2.4105027339548397, 1.6776846525763167, 0.7803812577747985, 0.0981678785948948, -0.2020280266740379, -0.18097578513347867, -0.04196602009046691, 0.014029351624695338, -0.09204054786107076, -0.2815862238641656, -0.381363266106939, -0.24243167585936798, 0.1542274035523643, 0.659898234196688, 1.0301552021731384, 1.0613760493743776, 0.7129380076261548, 0.16916347108401816, -0.20964001345456126, -0.06659385819253487, 0.764471014044228, 2.1363184158393587, 3.59940882118886, 4.567300281036607, 4.561185875245018, 3.450644258452575, 1.5894587113951726, -0.30450291367112986, -1.408789017678763, -1.1214268792694546, 0.6560175657324591, 3.445332277828212, 6.338082609266417, 8.31830352829896, 8.710546625881037, 7.427551920935124, 4.985286470457399, 2.3220823765726797, 0.4454475058528667, -0.015260140118351858, 0.9497124989137299, 2.743269128772663, 4.442770544525987, 5.204378585775557, 4.612090131525725, 2.8795470381139534, 0.8114415979576389, -0.5961843541935887, -0.5799438565437175, 1.0743005181070746, 3.9052434020559965, 6.919115727291065, 8.972465921274944, 9.216122831590427, 7.412286397295872, 3.9969372211159784, -0.0746491276651332, -3.6731023442029946, -5.962175330488969, -6.610623854615965, -5.805449123677734, -4.1259453849331, -2.3029951265700257, -0.8933952316254917, -0.12735890887716608, 0.07957353375475058, -0.006548270068080788, -0.11390308843176639, -0.09387127425542663, 0.04116636608825104, 0.18149544986001898, 0.2248280735705369, 0.14640819055769058, 0.010496633677184612, -0.08374533034074515, -0.08765227256081505, -0.03462679870234829, 0.0002768754242044537, 0.0008886412945204606, 0.1142094277578947, 0.6714093054098826, 2.085073638752086, 4.639745779750611, 8.256466282640112, 12.337566115634534, 15.82099987678234, 17.569816980318073, 16.748054387387782, 13.172008401029704, 7.591592783414284, 1.7036225541992898, -2.47184205924293, -3.2167203393379546, 0.3387129858778257, 7.774550033188324, 17.44753890821969, 27.007744813136497, 34.0985350612852, 37.06072580204835, 35.40949429749159, 29.88571059045478, 22.127192530078805, 14.063695140367313, 7.285387540779495, 2.6669613955104583, 0.26759360689845857, -0.48627015268314205, -0.3856272318689313, -0.09256038245988912, 0.0478492707915502, 0.011080110610268715, -0.06584385946242818, -0.06873871738226224, -0.005159970372723472, 0.026267289950877085, -0.02817737096051271, -0.04132896126329154, 0.3331961658688057, 1.5518771253450105, 3.96050757439738, 7.547635680461419, 11.807200989057336, 15.891101656913857, 18.82995625777258, 19.802015232112836, 18.459394463415894, 15.21611871579804, 10.947278686914688, 6.652697313445529, 3.1799566375612023, 0.999626129320194, 0.06247138515844423, -0.04838509913004047, 0.14853986710806455, 0.27395692431823776, 0.2093457203410494, 0.05716478362854293, -0.014308819535604072, 0.0580066072120992, 0.1561434116255875, 0.037191176956257635, -0.5048603292959144, -1.4581621475695838, -2.5376879818801146, -3.2706936530789954, -3.200776701126276, -2.166118816655505, -0.4271427923090961, 1.4031373935891716, 2.5986421063726692, 2.663753126601464, 1.577818188800853, -0.16024169085301587, -1.7142422774181902, -2.31370254169931, -1.652802673335308, -0.05429987472998512, 1.6167088849292617, 2.2969733508447763, 1.2769145029788316, -1.4044187540690884, -4.8693686780036645, -7.701171012242249, -8.471610011169828, -6.321139372036466, -1.3825070421363412, 5.192839204096706, 11.657726767693264, 16.241764903433676, 17.76761482036058, 16.15752631725483, 12.276130125216483, 7.51325594589282, 3.280835926668342, 0.5256825775569527, -0.5710816637866772, -0.4929050108239794, -0.04833568774022771, 0.050011179622260316, -0.5128547884521233, -1.5870579290877609, -2.7038428834472557, -3.3809874646513953, -3.3649207829930896, -2.7116676371429267, -1.728229533449251, -0.8086655078704151, -0.21304286201597467, 0.02052161724738414, 0.029255402838418498, -0.003383124235160331, 0.02320737951788526, 0.07498140456572068, 0.0351551796744573, -0.17632882003859307, -0.5126199318961897, -0.7982823308835012, -0.8295445280390199, -0.5448524610489048, -0.12045367741579086, 0.07051322880227724, -0.3666769153191074, -1.5862657082078562, -3.3081791679185137, -4.82044024490676, -5.217199217273687, -3.8355618097604247, -0.6308984026986331, 3.6348617152163927, 7.516499740645115, 9.438543512107973, 8.283442580724488, 3.8327176152072884, -3.006596487876916, -10.390158576821701, -16.29672465922479, -19.198069826152118, -18.54525553323297, -15.00562797624805, -10.051746332909579, -5.304282055799092, -1.9373991353364568, -0.3124855623620212, 0.03216350286985228, -0.005014017499323576, 0.36310038962163127, 1.3846204113511178, 2.6651801243572653, 3.367387097884756, 2.654729089042833, 0.255608055509001, -3.403235065368772, -7.357968359699334, -10.428751812217104, -11.658038639744253, -10.761306759637545, -8.179415891125743, -4.831093904288997, -1.716684517256017, 0.4402022267140826, 1.4005886843154822, 1.3943668681078156, 0.9065894943890513, 0.3871522566834465, 0.0807300766723369, -0.0017006641864528809, 0.015879901743124165, 0.019149171582919896, -0.016481756451784707, -0.04143338456504973, -0.01849718699140206, 0.004434641853425023, -0.0852110523290566, -0.3443040593908759, -0.6141064506503078, -0.43983725768353493, 0.8399306715960745, 3.819266442757185, 8.674714729290208, 14.915189649619542, 21.320835192531508, 26.220887334633694, 28.23011916207878, 26.660682118731103, 21.7392467308015, 14.662307354965957, 7.33994063909638, 1.5201171076238655, -1.78409827319971, -2.515978227646752, -1.4662937165319996, 0.16611549660089708, 1.3276178994490697, 1.5320317989753478, 0.9881814766836804, 0.28648874743769126, -0.010994222710683356, 0.3032191778651597, 0.95893240132432, 1.3932068643033289, 1.1309633651014455, 0.11971630767791036, -1.178184782278568, -2.0042591287270337, -1.7045758355440075, -0.14153104036264122, 2.0803769949303414, 3.8344427071266254, 3.9532756418731854, 1.769502172962247, -2.5273155573037864, -7.881591370655435, -12.720689112481478, -15.560070805941155, -15.685779015133745, -13.308498524973015, -9.391511114448875, -5.258930160727861, -2.068439598087607, -0.351328965881407, 0.057216909584012106, -0.20567406803467617, -0.42648383647333504, -0.17466428689491767, 0.552606948351593, 1.412777764912093, 1.9869170705006511, 2.030605403594469, 1.5758315262483897, 0.8839336389199648, 0.2817414598071404, -0.04161698760598728, -0.09941644406966696, -0.03888053928514257, 0.00023938128432958474, 0.00020450595992154105, 0.06416124313616155, 0.3018297887401813, 0.6846119509535167, 0.99216488121677, 0.9088455622874019, 0.25867916133835195, -0.7208153823249779, -1.3183211263059178, -0.5405241075898669, 2.4771470556480297, 7.966857733658448, 15.215299255884094, 22.593252951792703, 28.0202050310248, 29.871896557805396, 27.523555617838845, 21.582270901770663, 13.803193478830424, 6.551310065925536, 1.699601522172122, 0.004261139608580334, 0.97528833262803, 3.2187254963267176, 5.1220465626236615, 5.544965129840516, 4.276638226075643, 2.1165687788721583, 0.3186288251267726, -0.22700179745668866, 0.47273823915036567, 1.8794514921910552, 3.560877714853059], 'positive_zeros': ['0.66808915609211207551638267930464', '0.790435777316921228349370026939169', '0.846345034071271014751409264546842', '1.19500234071844561121516419735660', '1.85963845756409722683320909958196', '1.96053991166104803637153222116573', '2.52054346068563088058166648822686', '2.97436888865915693018781726461265', '3.22924862882152045191048659691442', '4.01940421334872634020396089719613', '4.02361708428339548886355441616434', '4.07777571561675816803500289952236', '4.39490308523010856299416834565945', '4.92956534715695437065149202661014', '5.45871591424117078036100481359212', '5.52110894303943646844059880741386', '6.30493506223379429858111601372378', '6.47227501948201427336652770683766', '6.48959362326266919930338897694887', '6.68140927959006282084802932387059', '7.04274304739627712749868028357554', '7.34412420514604666718390365177839', '7.977651016796078644147375176366133', '8.098657821122497039631896594684358', '8.469583959061583603084619033484885', '8.701684820495093666841839285237744', '8.969818320210103680976055978382539', '9.291804207652414392383797549922912', '9.372838485875963634265812396022693', '9.818203198518034938036399139561072', '10.03895145966978557702684030691948', '10.11979312848051562504944346365358', '10.73145392646566748087486575820608', '10.87678431734380096637876439719595', '11.25806199041167306793626672187580', '11.53441284996936996668716377389534', '11.82768962501471940694230857517774', '11.84462599387143302094161526816936', '11.93202186593798852530428096472010', '12.55613458085034279040612834755581'], 'prelabel': '8-10e8-1.1-c9e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.17659972524505, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c9e4-0', 'trace_hash': 1842995475679148312, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.66808915609211207551638267930464', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '0.790435777316921228349370026939169', 'prec': 117}, 'z3': {'__RealLiteral__': 0, 'data': '0.846345034071271014751409264546842', 'prec': 117}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 7036388.224067563, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 100000000, 'conductor_radical': 10, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 4484, 0, 205440, 0, 0, 0, 0, 0, 0, 0, -274544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13787496, 0, 583664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59546904, 0, 0, 0, 0, 0, 0, 0, -31230700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 185861712, 0, 391347848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 622414032, 0, 0, 0, 0, 0, 0, 0, -1084523552, 0, 607381114, 0, 0, 0, 0, 0, 0, 0, 924583704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 921192960, 0], 'euler11': [1, -205440, 25222485164, -1991430806037120, 114689322324390649686, -4695689670881495964289920, 140234931952624545558776247884, -2693317206701745694609106418618240, 30912680532870672635673352936887453361], 'euler13': [1, 0, -13506080684, 0, 64066498776709104822, 0, -1518831799645191063330581220236, 0, 12646218552730347184269489080961456410641], 'euler17': [1, 0, -419518771196, 0, 71880569747876619441222, 0, -5899727908557024949599355828176764, 0, 197770344305988984840145602058543169130838081], 'euler19': [1, 274544, 242063925292, 119233871520173552, 232872725864416008668470, 38475303498121878449404941008, 25205475143367500714052591388514572, 9224847229037405324311760532990603601616, 10842505080063916320800450434338728415281531281], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -5330064218900, 0, 13224664849992277295221638, 0, -17291532685544540832611075645866774100, 0, 10524515126174167358877236351104092889324551536161], 'euler29': [1, -13787496, 127915760803532, -754219401614579326968, 3415501247680609475873116470, -10941570957055269644545099588935192, 26920803646216271923377919894488126628652, -42095080340030423154490687590120125945096697864, 44292268542362921407825091617016319887724139383235921], 'euler3': [1, 0, -4484, 0, -587274858, 0, -1737193472676, 0, 150094635296999121], 'euler31': [1, -583664, 78015037517020, -38174285917789376816, 2920876971219087646482551494, -1009313695919774891327740514403536, 54536694390634141258206058126435715001820, -10787694540605407773668949978303553343965209104, 488675963633769261467693849486036510107332864779998081], 'euler37': [1, 0, -310941286370060, 0, 48725402097916502646187267158, 0, -5251815058716086432732340883409633193885740, 0, 285273917723723876056171083405292782327767461712708093041], 'euler41': [1, -59546904, 2428483248895100, -65405982130155161410536, 1389238946976597530636984941734, -21412736950707042588641501201080173096, 260282238489135231325990077579149295756247100, -2089408310371718681876968232496677748414877700289624, 11487323243342943712727117998313670374759563626306467569441], 'euler43': [1, 0, -1540458208886372, 0, 1070941241112499719015073683894, 0, -389118716962522035547861128185528257023087428, 0, 63806423321775344604618774305037646254726223988233042609201], 'euler47': [1, 0, -2450505224578676, 0, 3862996326667909653811701150822, 0, -3069142658823929368884039479118101384977093364, 0, 1568638556854706336108974223356857608957236560013645822451521], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -11327676942925580, 0, 53774921919069547837648677405078, 0, -123340728033982407748628457784356173891043144620, 0, 118558120445975157028044470669508269904542112710719750776396721], 'euler59': [1, -185861712, 41949099907859660, -4705920742600464534802512, 577163009658339892787950412939094, -40767371716069369735089482553853838406768, 3148174930779882057805268830127878627093855194860, -120835417657996264069055810714972832178981378780972428528, 5632126739027588519658984775872141857619309476789431335641625841], 'euler61': [1, -391347848, 83156811125900428, -13356079570050284370685016, 1672299861281889014625065432674870, -156187945719685426785576173474605041931256, 11371947785951731545598093406352860899849886873068, -625847461878539393195765086151285783867209112978569994408, 18701397461209715023927088008788055619800417991632621566284510161], 'euler67': [1, 0, -83008173082523780, 0, 3162673243940692420747074604052118, 0, -61442277329131227871921055542627103397515428698020, 0, 547889398733702676213614311297941818478464344374520135510515030481], 'euler7': [1, 0, 31230700, 0, 3486762586041798, 0, 50856496552261859584300, 0, 2651730845859653471779023381601], 'euler71': [1, -622414032, 249661080058211708, -76092690552800699355166224, 18922828218377689767605436335232870, -3488735777478802658227855408905498476728944, 524808816000426795955551632803133493294283304755388, -59986675047495548754041954773638344176304854915221481371312, 4418761423445010359012517479030513507821439762288727229544623559521], 'euler73': [1, 0, -60959480039527964, 0, 7025830403301124577621448133129062, 0, -211277250353496906039481499193902448293832417911516, 0, 12012211336350227316446820100278887925603925639507433655692782073761], 'euler79': [1, 1084523552, 920279826025905340, 469563550928813752423336352, 197254641499849192246064579713630534, 56277940994083806763213835078982382573832288, 13219272189196626901649203380681210310388432829863740, 1867112354442392313531693061250790705004014119483858806335968, 206336132715709669990485567530001552309415935666586885734738159549121], 'euler83': [1, 0, 43663493653967740, 0, 69180344673661619543608801592741718, 0, 1525893225198284270524963093530013254020933884285660, 0, 1221268978022589508833760255513684608154133797863046939086649799003281], 'euler89': [1, -924583704, 532920092496088892, -471500309732151386789079912, 420724356732747071930657817094263270, -165193152864721948501299615549988576459021608, 65415733311932270857091364995034887479189588626051452, -39762750126553060611583713205301189732402615531707066712774616, 15067466661578195724088403821109198918255739721817916514744422568289761], 'euler97': [1, 0, -1302744298917711740, 0, 1103896137547937827170581370361644678, 0, -752922712330240274183816821792998680015477548033524860, 0, 334027661875095082935878165689897695724025886105865253311336914562753921], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4484, 0, -587274858, 0, -1737193472676, 0, 150094635296999121], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 31230700, 0, 3486762586041798, 0, 50856496552261859584300, 0, 2651730845859653471779023381601], [1, -205440, 25222485164, -1991430806037120, 114689322324390649686, -4695689670881495964289920, 140234931952624545558776247884, -2693317206701745694609106418618240, 30912680532870672635673352936887453361], [1, 0, -13506080684, 0, 64066498776709104822, 0, -1518831799645191063330581220236, 0, 12646218552730347184269489080961456410641], [1, 0, -419518771196, 0, 71880569747876619441222, 0, -5899727908557024949599355828176764, 0, 197770344305988984840145602058543169130838081], [1, 274544, 242063925292, 119233871520173552, 232872725864416008668470, 38475303498121878449404941008, 25205475143367500714052591388514572, 9224847229037405324311760532990603601616, 10842505080063916320800450434338728415281531281], [1, 0, -5330064218900, 0, 13224664849992277295221638, 0, -17291532685544540832611075645866774100, 0, 10524515126174167358877236351104092889324551536161], [1, -13787496, 127915760803532, -754219401614579326968, 3415501247680609475873116470, -10941570957055269644545099588935192, 26920803646216271923377919894488126628652, -42095080340030423154490687590120125945096697864, 44292268542362921407825091617016319887724139383235921], [1, -583664, 78015037517020, -38174285917789376816, 2920876971219087646482551494, -1009313695919774891327740514403536, 54536694390634141258206058126435715001820, -10787694540605407773668949978303553343965209104, 488675963633769261467693849486036510107332864779998081], [1, 0, -310941286370060, 0, 48725402097916502646187267158, 0, -5251815058716086432732340883409633193885740, 0, 285273917723723876056171083405292782327767461712708093041], [1, -59546904, 2428483248895100, -65405982130155161410536, 1389238946976597530636984941734, -21412736950707042588641501201080173096, 260282238489135231325990077579149295756247100, -2089408310371718681876968232496677748414877700289624, 11487323243342943712727117998313670374759563626306467569441], [1, 0, -1540458208886372, 0, 1070941241112499719015073683894, 0, -389118716962522035547861128185528257023087428, 0, 63806423321775344604618774305037646254726223988233042609201], [1, 0, -2450505224578676, 0, 3862996326667909653811701150822, 0, -3069142658823929368884039479118101384977093364, 0, 1568638556854706336108974223356857608957236560013645822451521], [1, 0, -11327676942925580, 0, 53774921919069547837648677405078, 0, -123340728033982407748628457784356173891043144620, 0, 118558120445975157028044470669508269904542112710719750776396721], [1, -185861712, 41949099907859660, -4705920742600464534802512, 577163009658339892787950412939094, -40767371716069369735089482553853838406768, 3148174930779882057805268830127878627093855194860, -120835417657996264069055810714972832178981378780972428528, 5632126739027588519658984775872141857619309476789431335641625841], [1, -391347848, 83156811125900428, -13356079570050284370685016, 1672299861281889014625065432674870, -156187945719685426785576173474605041931256, 11371947785951731545598093406352860899849886873068, -625847461878539393195765086151285783867209112978569994408, 18701397461209715023927088008788055619800417991632621566284510161], [1, 0, -83008173082523780, 0, 3162673243940692420747074604052118, 0, -61442277329131227871921055542627103397515428698020, 0, 547889398733702676213614311297941818478464344374520135510515030481], [1, -622414032, 249661080058211708, -76092690552800699355166224, 18922828218377689767605436335232870, -3488735777478802658227855408905498476728944, 524808816000426795955551632803133493294283304755388, -59986675047495548754041954773638344176304854915221481371312, 4418761423445010359012517479030513507821439762288727229544623559521], [1, 0, -60959480039527964, 0, 7025830403301124577621448133129062, 0, -211277250353496906039481499193902448293832417911516, 0, 12012211336350227316446820100278887925603925639507433655692782073761], [1, 1084523552, 920279826025905340, 469563550928813752423336352, 197254641499849192246064579713630534, 56277940994083806763213835078982382573832288, 13219272189196626901649203380681210310388432829863740, 1867112354442392313531693061250790705004014119483858806335968, 206336132715709669990485567530001552309415935666586885734738159549121], [1, 0, 43663493653967740, 0, 69180344673661619543608801592741718, 0, 1525893225198284270524963093530013254020933884285660, 0, 1221268978022589508833760255513684608154133797863046939086649799003281], [1, -924583704, 532920092496088892, -471500309732151386789079912, 420724356732747071930657817094263270, -165193152864721948501299615549988576459021608, 65415733311932270857091364995034887479189588626051452, -39762750126553060611583713205301189732402615531707066712774616, 15067466661578195724088403821109198918255739721817916514744422568289761], [1, 0, -1302744298917711740, 0, 1103896137547937827170581370361644678, 0, -752922712330240274183816821792998680015477548033524860, 0, 334027661875095082935878165689897695724025886105865253311336914562753921]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/10/c/c'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-10e8-1.1-c9e4-0-0', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9, 9, 9, 9], 'order_of_vanishing': 0, 'prelabel': '8-10e8-1.1-c9e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.17659972524505, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e4-0', 'trace_hash': 1842995475679148312, 'z1': {'__RealLiteral__': 0, 'data': '0.66808915609211207551638267930464', 'prec': 113}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '846903619726137116036928078378,1001996387557662269648438227619,1072869790440627965198025871331,1514845434485876679133599868443', 'Lhash_array': ['846903619726137116036928078378', '1001996387557662269648438227619', '1072869790440627965198025871331', '1514845434485876679133599868443'], 'label': '8-10e8-1.1-c9e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/10/c/c'}