Formats: - HTML - YAML - JSON - 2026-10-08T22:46:28.765465
  • lfunc_lfunctions • Show schema
    {'Lhash': '644304334263022231759275526321,1451923940962327159390722119221', 'a10': 13428, 'a2': 6, 'a3': 0, 'a4': -804, 'a5': 2238, 'a6': 0, 'a7': -4802, 'a8': -6792, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1052.824530843557, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 7}, 'bad_lfactors': [[3, [1]], [7, [1, 4802, 5764801]]], 'bad_primes': [3, 7], 'central_character': '63.1', 'coefficient_field': '1.1.1.1', 'conductor': 3969, 'conductor_radical': 21, 'degree': 4, 'euler_factors': [[1, -6, 840, -3072, 262144], [1], [1, -2238, 3416586, -4371093750, 3814697265625], [1, 4802, 5764801], [1, 35316, 2892681078, 83273280655356, 5559917313492231481], [1, 26530, -1541163822, 281337368365690, 112455406951957393129], [1, -463920, 273833245726, -55015287664488240, 14063084452067724991009], [1, 925426, 858791487510, 298623585404828854, 104127350297911241532841], [1, 778128, 3473691840430, 1401527318158881264, 3244150909895248285300369], [1, -10003584, 52302031706070, -145123453369867514496, 210457284365172120330305161], [1, -2467260, 49371575832542, -65233422172137131460, 699053619999045038539170241], [1, -30735552, 484209298874630, -3994445811482058477504, 16890053810563300749953435929], [1, -19103448, 602984827739166, -6254123759834445477528, 107178930967531784356353269521], [1, -4065100, 797231337676374, -2043089226784460479300, 252599333573498060811820806649], [1, -82195020, 3721245520696702, -91986951619291395620340, 1252453015827223091648143056289], [1, -55189812, 3123778356606670, -182113332276004461468996, 10888439761782913818722623349689], [1, -7069218, 16866494212382134, -61240605975160230567702, 75047496554032956760519149093721], [1, -44316386, 21654336818123658, -518242292190429626534426, 136753052840548005895349735207881], [1, 241921336, 59516583718815510, 6581841149081627028289192, 740195513856780056217081017732809], [1, 206493816, 58491352612128526, 9467431871231282012692296, 2102085018129621311776010144838961], [1, 499153188, 178474458263805254, 29385940188050354732056644, 3465863721549107204083472585375569], [1, -468535096, 239633073722978334, -56154679029469288424023624, 14364405059580771582276370834385761], [1, 444023958, 333438010641681622, 83005952053423638664975074, 34946659039493167390823397237402409], [1, 636267396, 801539802340191990, 222920356658886359638945764, 122749609618842355502421774953773681], [1, 1632716064, 2180562419544849758, 1241241461817034856731545888, 577951262543040979328274795306257089], [1, 156123714, 2179215929371575498, 170750206718585173580506314, 1196147475686664860781049986817531801], [1, 845022428, 2062187162571758094, 1102562603788678594932507524, 1702433061239903677780481956434843889], [1, 3052235712, 5919959883661689222, 5611410863204189534823153984, 3379932275732534791891466777752413049], [1, -1464767928, 3951244288396737542, -3181319618765836519260475992, 4717120417286669419611030657597553321], [1, -2944325688, 8173074928287907182, -8844877845836384016077296824, 9024267965168278308669913635234402529]], 'euler_factors_factorization': [[[[1, -6, 840, -3072, 262144], 1]], [1], [[[1, -2238, 3416586, -4371093750, 3814697265625], 1]], [[[1, 2401], 2]], [[[1, 35316, 2892681078, 83273280655356, 5559917313492231481], 1]], [[[1, 26530, -1541163822, 281337368365690, 112455406951957393129], 1]], [[[1, -463920, 273833245726, -55015287664488240, 14063084452067724991009], 1]], [[[1, 925426, 858791487510, 298623585404828854, 104127350297911241532841], 1]], [[[1, 778128, 3473691840430, 1401527318158881264, 3244150909895248285300369], 1]], [[[1, -10003584, 52302031706070, -145123453369867514496, 210457284365172120330305161], 1]], [[[1, -2467260, 49371575832542, -65233422172137131460, 699053619999045038539170241], 1]], [[[1, -30735552, 484209298874630, -3994445811482058477504, 16890053810563300749953435929], 1]], [[[1, -19103448, 602984827739166, -6254123759834445477528, 107178930967531784356353269521], 1]], [[[1, -4065100, 797231337676374, -2043089226784460479300, 252599333573498060811820806649], 1]], [[[1, -82195020, 3721245520696702, -91986951619291395620340, 1252453015827223091648143056289], 1]], [[[1, -55189812, 3123778356606670, -182113332276004461468996, 10888439761782913818722623349689], 1]], [[[1, -7069218, 16866494212382134, -61240605975160230567702, 75047496554032956760519149093721], 1]], [[[1, -44316386, 21654336818123658, -518242292190429626534426, 136753052840548005895349735207881], 1]], [[[1, 241921336, 59516583718815510, 6581841149081627028289192, 740195513856780056217081017732809], 1]], [[[1, 206493816, 58491352612128526, 9467431871231282012692296, 2102085018129621311776010144838961], 1]], [[[1, 499153188, 178474458263805254, 29385940188050354732056644, 3465863721549107204083472585375569], 1]], [[[1, -468535096, 239633073722978334, -56154679029469288424023624, 14364405059580771582276370834385761], 1]], [[[1, 444023958, 333438010641681622, 83005952053423638664975074, 34946659039493167390823397237402409], 1]], [[[1, 636267396, 801539802340191990, 222920356658886359638945764, 122749609618842355502421774953773681], 1]], [[[1, 1632716064, 2180562419544849758, 1241241461817034856731545888, 577951262543040979328274795306257089], 1]], [[[1, 156123714, 2179215929371575498, 170750206718585173580506314, 1196147475686664860781049986817531801], 1]], [[[1, 845022428, 2062187162571758094, 1102562603788678594932507524, 1702433061239903677780481956434843889], 1]], [[[1, 3052235712, 5919959883661689222, 5611410863204189534823153984, 3379932275732534791891466777752413049], 1]], [[[1, -1464767928, 3951244288396737542, -3181319618765836519260475992, 4717120417286669419611030657597553321], 1]], [[[1, -2944325688, 8173074928287907182, -8844877845836384016077296824, 9024267965168278308669913635234402529], 1]]], 'gamma_factors': [[], [0, 0]], 'group': 'GL2', 'index': 0, 'label': '4-63e2-1.1-c9e2-0-0', 'leading_term': '2.20045894668298978236984616533290097686526905853592793768257680000000000000000000000000000', 'load_key': 'CMFs-workshop', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [9, 9], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/63/10/a/d', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.041015625', 'prec': 27}, 'plot_values': [2.20045894668299, 2.1743019799522756, 2.124314589306158, 2.032521394086245, 1.9024975455726019, 1.7420625345496215, 1.5543355424739873, 1.3421458494781255, 1.110345197512014, 0.8643980522722948, 0.6098190039111093, 0.3522777796877528, 0.09770080295813173, -0.14800089732313754, -0.3790171836067069, -0.5897957255468951, -0.7751042361128454, -0.9301827001737315, -1.0508168093776769, -1.1334504219978236, -1.1752499138123282, -1.174179252811095, -1.1290463153880048, -1.0395378903085823, -0.906238125712018, -0.7306255346736611, -0.5150558029089288, -0.2627255859578082, 0.022385603110883858, 0.33557716388048897, 0.6715287713296724, 1.0243777410027923, 1.387862683620961, 1.7554048252023604, 2.1202896549982033, 2.4757397196695625, 2.815126806947048, 3.1320238367400703, 3.420437412745138, 3.674827527764048, 3.8903482953072177, 4.062826246701278, 4.188995933162148, 4.266430513401909, 4.293758844528287, 4.270545658083071, 4.197477812014076, 4.076195376912644, 3.909436889108274, 3.7008268075929074, 3.4549727815134608, 3.1772188466588465, 2.873691694035578, 2.5510322985180762, 2.2163926552044924, 1.877160938705848, 1.540914796169727, 1.2151563435822093, 0.9072324596839128, 0.6240957393022445, 0.3722059008373233, 0.1573311501868031, -0.015552596292850966, -0.14240858642200452, -0.2202243059260231, -0.2470995971916129, -0.22229857641506373, -0.1462772942489754, -0.02068717608605208, 0.15165368567097665, 0.3668171404072962, 0.6198401971885733, 0.9048481441857003, 1.2151612405517696, 1.54348474744843, 1.8820280282449036, 2.2227554276713986, 2.5574963245639393, 2.8782445623770543, 3.177237614205845, 3.4472869308140486, 3.6818061895464482, 3.875151111310587, 4.0225807507664, 4.120583556210705, 4.166761563589096, 4.1601200686646775, 4.100871930023622, 3.9906712927167987, 3.832343306604601, 3.6300477178508173, 3.3889473486430686, 3.1152946152935117, 2.816059210486989, 2.4989390217125615, 2.171972755383684, 1.8434854311238458, 1.5217144671813527, 1.2147079223278425, 0.9299923298077387, 0.6744481589994525, 0.45404425290076794, 0.2737187181745899, 0.13719835859415838, 0.046913746538285464, 0.003913092587228432, 0.007837316085556358, 0.05692723051951609, 0.1480781358163031, 0.27692817683351517, 0.4380028774774226, 0.6248623412683103, 0.8303351907631183, 1.0466942226016964, 1.2659676756305087, 1.4801081658622617, 1.6813585353955882, 1.862378194518349, 2.0166324618714744, 2.1384441984549505, 2.223370814634161, 2.268157120374535, 2.271063952394191, 2.2317097457240527, 2.151319402007516, 2.0324559473251447, 1.8791675681834719, 1.6966251959950827, 1.4911586735750217, 1.2698293188695813, 1.0403614521957327, 0.810689080171031, 0.5888045717384914, 0.38232397980046534, 0.19828834902587048, 0.04279178408194684, -0.0792193793425897, -0.16421820889068214, -0.21025082097056183, -0.217082415295595, -0.18625705058372893, -0.12110942348453109, -0.026693645417154563, 0.09032886267757263, 0.2219130163181499, 0.3588367987070601, 0.49107863070362057, 0.6080734324220306, 0.6992230038490455, 0.7541454561846247, 0.7632770119849768, 0.718055507491169, 0.6115554154857475, 0.43855115852607635, 0.19611761583611348, -0.11646768687017274, -0.49722679830581445, -0.9417609142776974, -1.442914093391761, -1.9912304257116742, -2.5748191843214214, -3.1799594423195745, -3.791180361642604, -4.391959741504672, -4.965002722076209, -5.4929636993152355, -5.958876230149761, -6.346820083813703, -6.642429037394829, -6.833428445669286, -6.9101300696489805, -6.865780769950959, -6.696947717365717, -6.40364423985104, -5.989516402608386, -5.461744582367058, -4.830963256727458, -4.11097212001163, -3.318352759927474, -2.472055882745994, -1.5927173360796998, -0.7022130758740576, 0.17728264716767111, 1.0236699775594276, 1.8160442933332681, 2.5348939372926877, 3.163295268163549, 3.6868504957261203, 4.0948405337778055, 4.379849712914418, 4.53876523268278, 4.572077295820796, 4.484635867726664, 4.28466078112114, 3.9842023692380426, 3.597939457156173, 3.143335123814178, 2.63933433614707, 2.106252831687777, 1.564504670949939, 1.034303589739537, 0.5345502614466157, 0.08245456993414664, -0.3073079470140857, -0.6229327522683685, -0.8559890386651645, -1.0016033107740123, -1.0585996647228804, -1.0294454992760504, -0.9200623710762281, -0.7394911990492424, -0.4994572820620079, -0.21376263662334447, 0.1022731965009432, 0.4326362003604148, 0.7611608614331665, 1.0724705527876293, 1.3523680750090352, 1.5887715934904587, 1.7718437029604692, 1.894799123201401, 1.9537094489406661, 1.9480796660048796, 1.8803235109368086, 1.7560466223566114, 1.5832469730224037, 1.3722963224892817, 1.1349709943203812, 0.8841806691307242, 0.6329674870302288, 0.3940813782809075, 0.17909358245205734, -0.002049296799804465, -0.14167003282255958, -0.23468723849396958, -0.27893413352702323, -0.2752436122841958, -0.22741703504880875, -0.14199016739553758, -0.02789466901033655, 0.1041104260812157, 0.24198112699607516, 0.37323726491724124, 0.4855624958663866, 0.5678157035077974, 0.610526148464454, 0.6069054677512493, 0.5530905155915911, 0.44897874098525603, 0.2981158379715617, 0.10819650632499371, -0.10943916732274786, -0.3397450008419926, -0.5648227658600866, -0.7643286677020403, -0.916564747300011, -0.9992887468727746, -0.9908769579756465, -0.8713865362109922, -0.6236022424550351, -0.2341337904395588, 0.30582522742154844, 0.9996141665864317, 1.8447533382349992, 2.8325129783602603, 3.9480060701486606, 5.170392462295286, 6.47335882076204, 7.826049758012263, 9.193785433986681, 10.539699020712902, 11.825472984937923, 13.013547872161286, 14.067626455295285, 14.955223539034478, 15.647701845303974, 16.12287448137766, 16.3643979632418, 16.364129998485325, 16.120804578947887, 15.641890745560712, 14.94159543772982, 14.042057051986207, 12.970841889796324, 11.761423873682348, 10.450437151433182, 9.077518516688013, 7.682632623968209, 6.3054627588277095, 4.983124265657888, 3.7493613293277086, 2.632906836611286, 1.6567637718158157, 0.8373649695469307, 0.18418359861959555, -0.30028720655816177, -0.6204324392840149, -0.7868330899977751, -0.8156237308608404, -0.7273403606786623, -0.5458092959625518, -0.29682800521058245, -0.006760431998509307, 0.2986339554894323, 0.5956593104665492, 0.8634392637499833, 1.085180361229829, 1.2483448243857143, 1.345512219290402, 1.3739300685786477, 1.3358573347910725, 1.2375860446984253, 1.0892655674677403, 0.9035962909412556, 0.6952491096697575, 0.4794932158737074, 0.2714146105674375, 0.08474173203195096, -0.06889042050868349, -0.1807104146771169, -0.24526821077388822, -0.26069753092673564, -0.2287316836712048, -0.15447946883820587, -0.04594262024084017, 0.08655551467053378, 0.23128539967919226, 0.3758070167310375, 0.5081452172577458, 0.6173575823207724, 0.6947300083051389, 0.7339967728146111, 0.7323079267151956, 0.6899686204786268, 0.610983162592634, 0.502302207989505, 0.3738528256087847, 0.23740923220693044, 0.10615016721194058, -0.006629763056159245, -0.08826618112914585, -0.12790629402462123, -0.11729740437342588, -0.051610810915636775, 0.07001917985707015, 0.24419749388893577, 0.4632292925068664, 0.715387888216761, 0.9855184272595433, 1.255764025192022, 1.5068029720074192, 1.7187965757716472, 1.8730896145887395, 1.9530655318516648, 1.9460086383689201, 1.8435481740282247, 1.6433139288096927, 1.3487259002984777, 0.9700936950424396, 0.5236494789709027, 0.0318475895152004, -0.47828540785248413, -0.9757201197375727, -1.4275132301599305, -1.8001092724155547, -2.0615027147703517, -2.182944780333413, -2.1407725077444297, -1.9180638612405474, -1.5057839767595749, -0.9038980351990935, -0.1216310094418663, 0.8223764262405806, 1.9006918774135408, 3.078132689566107, 4.313049827982768, 5.559568983433125, 6.769126923175021, 7.893663952278062, 8.886905362426264, 9.708050648372287, 10.322305259582185, 10.704498774543094, 10.8385009359842, 10.720210038440163, 10.355708466651349, 9.763195572744365, 8.9700047945093, 8.013285139240134, 6.936254566272597, 5.787710256114712, 4.618072122467892, 3.4780615380975166, 2.415150282133027, 1.4719299380534177, 0.6835070357569194, 0.07614747389257386, -0.3340387310527672, -0.5416675784798106, -0.5520408791639008, -0.38061395552963945, -0.05182917427624964, 0.4025683455596634, 0.9453501741711455, 1.5364129072265154, 2.1346419027351686, 2.70099517369824, 3.1998089031675128, 3.601798533413272, 3.884350620811224, 4.033910392387006, 4.04505781956782, 3.9219089070136595, 3.6760725395419445, 3.3269412995712027, 2.8988971359700417, 2.4206436535824807, 1.9222065682476883, 1.4336928349839104, 0.9826725921192714, 0.5928813489242853, 0.2824641560581607, 0.06313160370016574, -0.06047830691470428, -0.09081988824219711, -0.03699143263137836, 0.0862016684478807, 0.2594761624377877, 0.4608240672849271, 0.6670263201450617, 0.8558479637108269, 1.0072817988346836, 1.1056805411744115, 1.1402661729270347, 1.10670349084151, 1.0066248463706937, 0.8482994337441105, 0.6452035285447025, 0.4156918313260138, 0.18091412341836835, -0.0363184686882183, -0.21378280690370813, -0.3313475708692924, -0.37285126287067405, -0.32741276986293244, -0.19050418656391271, 0.03546962954289967, 0.3411063236186316, 0.7105165740679449, 1.1221736889144633, 1.5505851018640295, 1.967682048851563, 2.34540095142256, 2.6570546353198283, 2.8803053170699227, 2.9979266907477546, 3.000515166638333, 2.8861876156107598, 2.6624190192359283, 2.3444928187565908, 1.9560689873848154, 1.5265422514991214, 1.0902843544202856, 0.6833777018835123, 0.34185224874292114, 0.0984592009680904, -0.019464894260259182, 0.007500887930647638, 0.1891446008462861, 0.5243602412217889, 1.000594903084373, 1.5940169105538735, 2.270624547097997, 2.9876359832842407, 3.696361919985224, 4.3442464094367, 4.879163037301815, 5.2513077467054, 5.418202824670355, 5.345619692772969, 5.0123685880724995, 4.409627748013294, 3.5446194600704155, 2.4380994187597844, 1.1262729337537978, -0.3433385018092229, -1.9119635295223365, -3.514690840960202, -5.082253408301319, -6.546188504218961, -7.841649930331053, -8.911640267057308, -9.7099096332016, -10.203479521302874, -10.374675871067081, -10.221565722413107, -9.75840529601639, -9.014114753223653, -8.030845245649257, -6.861090460635573, -5.56453459948266, -4.204762371924313, -2.8451244261194644, -1.5458861338892544, -0.3595166064031632, 0.6700649800119352, 1.5100656965542003, 2.1404597639908265, 2.560262233717574, 2.776573354060848, 2.792236532889851, 2.6328729632877583], 'positive_zeros': ['0.50826650036454908993081422118578', '1.14536603437960030537564022318181', '2.53879406179636735069622925640143', '2.79461937704234022375712843980423', '4.32113333999697713709168690980012', '4.32609879453086827627036105594963', '5.55020489777273626156891487215866', '5.83420409501913154825657017498624', '6.34317591265805944725595352958401', '7.45648376424714032787229267113991', '8.293268739667757989138747577093676', '8.723354408451158818185602100528396', '9.515105265928074291162687888730466', '9.811751206294540680825023215048247', '10.27478794030548957643187315349340', '10.68329679775750014404255691734177', '12.07258822678794881184054119853044', '12.38763670566049960785368817547663', '13.02330884061677840197895484485366', '13.30395682107059227481721473064784'], 'prelabel': '4-63e2-1.1-c9e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.696249439615862, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c9e2-0', 'trace_hash': 340713173120232933, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.50826650036454908993081422119', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.14536603437960030537564022318', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.53879406179636735069622925640', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1052.824530843557, 'bad_primes': [3, 7], 'central_character': '1.1', 'conductor': 3969, 'conductor_radical': 21, 'degree': 4, 'dirichlet_coefficients': [1, 6, 0, -804, 2238, 0, -4802, -6792, 0, 13428, -35316, 0, -26530, -28812, 0, 390896, 463920, 0, -925426, -1799352, 0, -211896, -778128, 0, 1592058, -159180, 0, 3860808, 10003584, 0, 2467260, 4007904, 0, 2783520, -10746876, 0, 30735552, -5552556, 0, -15200496, 19103448, 0, 4065100, 28394064, 0, -4668768, 82195020, 0, 17294403, 9552348, 0, 21330120, 55189812, 0, -79037208, 32615184, 0, 60021504, 7069218, 0, 44316386, 14803560, 0, -114406464, -59374140, 0, -241921336, -372991680, 0, -64481256, -206493816, 0, -499153188, 184413312, 0, 744042504, 169587432, 0, 468535096, 874825248, 0, 114620688, -444023958, 0, 1038252960, 24390600, 0, 239866272, -636267396, 0, 127397060, 625614912, 0, 493170120, -2071103388, 0, -1632716064, 103766418, 0, -1280014632], 'euler11': [1, 35316, 2892681078, 83273280655356, 5559917313492231481], 'euler13': [1, 26530, -1541163822, 281337368365690, 112455406951957393129], 'euler17': [1, -463920, 273833245726, -55015287664488240, 14063084452067724991009], 'euler19': [1, 925426, 858791487510, 298623585404828854, 104127350297911241532841], 'euler2': [1, -6, 840, -3072, 262144], 'euler23': [1, 778128, 3473691840430, 1401527318158881264, 3244150909895248285300369], 'euler29': [1, -10003584, 52302031706070, -145123453369867514496, 210457284365172120330305161], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, -2467260, 49371575832542, -65233422172137131460, 699053619999045038539170241], 'euler37': [1, -30735552, 484209298874630, -3994445811482058477504, 16890053810563300749953435929], 'euler41': [1, -19103448, 602984827739166, -6254123759834445477528, 107178930967531784356353269521], 'euler43': [1, -4065100, 797231337676374, -2043089226784460479300, 252599333573498060811820806649], 'euler47': [1, -82195020, 3721245520696702, -91986951619291395620340, 1252453015827223091648143056289], 'euler5': [1, -2238, 3416586, -4371093750, 3814697265625], 'euler53': [1, -55189812, 3123778356606670, -182113332276004461468996, 10888439761782913818722623349689], 'euler59': [1, -7069218, 16866494212382134, -61240605975160230567702, 75047496554032956760519149093721], 'euler61': [1, -44316386, 21654336818123658, -518242292190429626534426, 136753052840548005895349735207881], 'euler67': [1, 241921336, 59516583718815510, 6581841149081627028289192, 740195513856780056217081017732809], 'euler7': [1, 4802, 5764801, 0, 0], 'euler71': [1, 206493816, 58491352612128526, 9467431871231282012692296, 2102085018129621311776010144838961], 'euler73': [1, 499153188, 178474458263805254, 29385940188050354732056644, 3465863721549107204083472585375569], 'euler79': [1, -468535096, 239633073722978334, -56154679029469288424023624, 14364405059580771582276370834385761], 'euler83': [1, 444023958, 333438010641681622, 83005952053423638664975074, 34946659039493167390823397237402409], 'euler89': [1, 636267396, 801539802340191990, 222920356658886359638945764, 122749609618842355502421774953773681], 'euler97': [1, 1632716064, 2180562419544849758, 1241241461817034856731545888, 577951262543040979328274795306257089], 'euler_factors': [[1, -6, 840, -3072, 262144], [1, 0, 0, 0, 0], [1, -2238, 3416586, -4371093750, 3814697265625], [1, 4802, 5764801, 0, 0], [1, 35316, 2892681078, 83273280655356, 5559917313492231481], [1, 26530, -1541163822, 281337368365690, 112455406951957393129], [1, -463920, 273833245726, -55015287664488240, 14063084452067724991009], [1, 925426, 858791487510, 298623585404828854, 104127350297911241532841], [1, 778128, 3473691840430, 1401527318158881264, 3244150909895248285300369], [1, -10003584, 52302031706070, -145123453369867514496, 210457284365172120330305161], [1, -2467260, 49371575832542, -65233422172137131460, 699053619999045038539170241], [1, -30735552, 484209298874630, -3994445811482058477504, 16890053810563300749953435929], [1, -19103448, 602984827739166, -6254123759834445477528, 107178930967531784356353269521], [1, -4065100, 797231337676374, -2043089226784460479300, 252599333573498060811820806649], [1, -82195020, 3721245520696702, -91986951619291395620340, 1252453015827223091648143056289], [1, -55189812, 3123778356606670, -182113332276004461468996, 10888439761782913818722623349689], [1, -7069218, 16866494212382134, -61240605975160230567702, 75047496554032956760519149093721], [1, -44316386, 21654336818123658, -518242292190429626534426, 136753052840548005895349735207881], [1, 241921336, 59516583718815510, 6581841149081627028289192, 740195513856780056217081017732809], [1, 206493816, 58491352612128526, 9467431871231282012692296, 2102085018129621311776010144838961], [1, 499153188, 178474458263805254, 29385940188050354732056644, 3465863721549107204083472585375569], [1, -468535096, 239633073722978334, -56154679029469288424023624, 14364405059580771582276370834385761], [1, 444023958, 333438010641681622, 83005952053423638664975074, 34946659039493167390823397237402409], [1, 636267396, 801539802340191990, 222920356658886359638945764, 122749609618842355502421774953773681], [1, 1632716064, 2180562419544849758, 1241241461817034856731545888, 577951262543040979328274795306257089]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/63/10/a/d'], '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': '4-63e2-1.1-c9e2-0-0', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [9, 9], 'order_of_vanishing': 0, 'prelabel': '4-63e2-1.1-c9e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.696249439615862, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e2-0', 'trace_hash': 340713173120232933, 'z1': {'__RealLiteral__': 0, 'data': '0.50826650036454908993081422119', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '644304334263022231759275526321,1451923940962327159390722119221', 'Lhash_array': ['644304334263022231759275526321', '1451923940962327159390722119221'], 'factors': ['2-63-1.1-c9-0-2', '2-63-1.1-c9-0-10'], 'label': '4-63e2-1.1-c9e2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/63/10/a/d'}