-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '947093713648382713231381362143,968357272115530699003846029514,1772903131275495937613106585633', 'a10': 0, 'a2': 0, 'a3': -3, 'a4': 0, 'a5': 3, 'a6': 0, 'a7': 3, 'a8': 2, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8294.022554769563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 3, 3, 1]], [5, [1, -3, 3, -1]], [13, [1]]], 'bad_primes': [3, 5, 13], 'central_character': '2535.1', 'coefficient_field': '1.1.1.1', 'conductor': 16290480375, 'conductor_radical': 195, 'degree': 6, 'euler_factors': [[1, 0, 0, -2, 0, 0, 8], [1, 3, 3, 1], [1, -3, 3, -1], [1, -3, 18, -39, 126, -147, 343], [1, 0, 9, 16, 99, 0, 1331], [1], [1, 0, 9, -98, 153, 0, 4913], [1, -12, 93, -460, 1767, -4332, 6859], [1, 0, 21, 96, 483, 0, 12167], [1, -6, 87, -334, 2523, -5046, 24389], [1, -3, 0, 177, 0, -2883, 29791], [1, -6, 75, -452, 2775, -8214, 50653], [1, 0, 99, 26, 4059, 0, 68921], [1, -9, 144, -763, 6192, -16641, 79507], [1, 12, 135, 922, 6345, 26508, 103823], [1, 0, 135, 16, 7155, 0, 148877], [1, 6, 165, 694, 9735, 20886, 205379], [1, 3, 162, 299, 9882, 11163, 226981], [1, -9, 120, -855, 8040, -40401, 300763], [1, 12, 165, 1022, 11715, 60492, 357911], [1, -21, 312, -2977, 22776, -111909, 389017], [1, 3, 144, 111, 11376, 18723, 493039], [1, 18, 309, 2820, 25647, 124002, 571787], [1, -30, 555, -6222, 49395, -237630, 704969], [1, -15, 282, -2321, 27354, -141135, 912673], [1, 24, 399, 4464, 40299, 244824, 1030301], [1, -9, 72, -695, 7416, -95481, 1092727], [1, -24, 471, -5214, 50397, -274776, 1225043], [1, -27, 474, -5399, 51666, -320787, 1295029], [1, 18, 423, 4156, 47799, 229842, 1442897]], 'euler_factors_factorization': [[[[1, 0, 0, -2, 0, 0, 8], 1]], [[[1, 1], 3]], [[[1, -1], 3]], [[[1, -3, 18, -39, 126, -147, 343], 1]], [[[1, 0, 9, 16, 99, 0, 1331], 1]], [1], [[[1, 0, 9, -98, 153, 0, 4913], 1]], [[[1, -12, 93, -460, 1767, -4332, 6859], 1]], [[[1, 0, 21, 96, 483, 0, 12167], 1]], [[[1, -6, 87, -334, 2523, -5046, 24389], 1]], [[[1, -3, 0, 177, 0, -2883, 29791], 1]], [[[1, -6, 75, -452, 2775, -8214, 50653], 1]], [[[1, 0, 99, 26, 4059, 0, 68921], 1]], [[[1, -9, 144, -763, 6192, -16641, 79507], 1]], [[[1, 12, 135, 922, 6345, 26508, 103823], 1]], [[[1, 0, 135, 16, 7155, 0, 148877], 1]], [[[1, 6, 165, 694, 9735, 20886, 205379], 1]], [[[1, 3, 162, 299, 9882, 11163, 226981], 1]], [[[1, -9, 120, -855, 8040, -40401, 300763], 1]], [[[1, 12, 165, 1022, 11715, 60492, 357911], 1]], [[[1, -21, 312, -2977, 22776, -111909, 389017], 1]], [[[1, 3, 144, 111, 11376, 18723, 493039], 1]], [[[1, 18, 309, 2820, 25647, 124002, 571787], 1]], [[[1, -30, 555, -6222, 49395, -237630, 704969], 1]], [[[1, -15, 282, -2321, 27354, -141135, 912673], 1]], [[[1, 24, 399, 4464, 40299, 244824, 1030301], 1]], [[[1, -9, 72, -695, 7416, -95481, 1092727], 1]], [[[1, -24, 471, -5214, 50397, -274776, 1225043], 1]], [[[1, -27, 474, -5399, 51666, -320787, 1295029], 1]], [[[1, 18, 423, 4156, 47799, 229842, 1442897], 1]]], 'gamma_factors': [[], [0, 0, 0]], 'group': 'GL2', 'index': 4, 'label': '6-2535e3-1.1-c1e3-0-4', 'leading_term': '4.9265510998330201087865642563286305204767153538783050791202025473867273967331621760377636', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2535/2/a/bb', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.01953125', 'prec': 34}, 'plot_values': [4.926551099833019, 4.91317897880935, 4.893647393298811, 4.861850085905407, 4.813275678293172, 4.748591250369349, 4.669695082175742, 4.578074715984067, 4.473974645090909, 4.357431073257423, 4.228681299846129, 4.088369276216948, 3.9372815538329284, 3.7762527458032897, 3.6061259945690773, 3.4278049344697035, 3.2422818557105666, 3.05066610766229, 2.854141564340829, 2.653959773943756, 2.451456541237305, 2.2480167373483937, 2.0450697849332586, 1.8441105225316856, 1.6466472177634235, 1.4541912133166952, 1.268272149856354, 1.090381220811552, 0.9219572768041634, 0.7643951048312659, 0.618989131877862, 0.48691624045539794, 0.36923791555753704, 0.26685046106755206, 0.1804687796996272, 0.11062423990744151, 0.057627459684402645, 0.021558730780324976, 0.0022640913943690485, -0.0006626332528257982, 0.012121596583624649, 0.03970789811839283, 0.08094095063848802, 0.1344343274898284, 0.19857750670102353, 0.2715644583784295, 0.35142467776937886, 0.4360410086394474, 0.5231976715318905, 0.6106249746862447, 0.6960273784638631, 0.7771443128725835, 0.8518003824429563, 0.9179418912198882, 0.9736981777807349, 1.017426364347522, 1.04775233159908, 1.0636146575790217, 1.0642957713644625, 1.0494568552127512, 1.0191490154195104, 0.973824741336695, 0.9143509863557312, 0.8419823687390606, 0.7583457300556445, 0.6654197378232626, 0.5654737363280585, 0.4610201175531685, 0.35476019408514836, 0.2494965825431051, 0.14805873136580833, 0.05322320688091368, -0.03238600763095538, -0.10638073664116834, -0.16670177833910718, -0.2117053483736837, -0.2402333504019037, -0.25170020772963736, -0.24613656800520337, -0.22422752775215402, -0.18736440070275276, -0.1376264972496187, -0.07776912846502103, -0.011214371647824918, 0.05803305959606009, 0.125461434184769, 0.18613114753041138, 0.23481791354682294, 0.2661460370000014, 0.2747307514087751, 0.2553577960042218, 0.20314479582616676, 0.11372900241126505, -0.016563291204889887, -0.1905647448045874, -0.4100723229795562, -0.6757433355714231, -0.9869900199171082, -1.3418397757634266, -1.7369292905722236, -2.167495408033811, -2.6273399993090996, -3.108932499160418, -3.6035501901220264, -4.101346445671998, -4.591578260812749, -5.062895957896443, -5.503486177294858, -5.901436603185448, -6.245080770707375, -6.52321775801301, -6.7255501880312725, -6.842966739637827, -6.867845125877667, -6.794402418087853, -6.618869434880791, -6.3398051363772945, -5.958207039388132, -5.4775820275720255, -4.904112758897473, -4.24650649476831, -3.5159217174483928, -2.7258669525044503, -1.8918589845761076, -1.031130102958422, -0.16229088919395832, 0.6951618621409622, 1.5213216097052753, 2.296351943521955, 3.0010882197494713, 3.617508151676361, 4.12931947442815, 4.522497765829388, 4.78557891533612, 4.9103131872322585, 4.891853657593407, 4.728860232974504, 4.424025369824356, 3.9837757568498895, 3.418208083377817, 2.7412289515541137, 1.9698917482098677, 1.124076006414825, 0.22619256331093548, -0.6996648129670359, -1.628368399106585, -2.5342705336211635, -3.392172948012057, -4.178118658877891, -4.86991722374193, -5.448140047357747, -5.896684877857721, -6.203266417155888, -6.360120066410737, -6.364140334937646, -6.217261445269205, -5.926509227830056, -5.50379190163894, -4.965912127974327, -4.33393853410091, -3.6327541547431133, -2.8904703412901163, -2.1374411971149736, -1.4055451176007805, -0.7271418234923668, -0.13404616028475486, 0.34340809589082005, 0.6774488030243767, 0.8437589474234591, 0.8223463252207043, 0.5982945277584321, 0.16236142388081404, -0.48855525177691006, -1.3512223473576215, -2.4159389487110228, -3.666623771245838, -5.081348292741758, -6.632652127297949, -8.288187785804993, -10.011998562331469, -11.765046374958413, -13.506353775273373, -15.19471825046367, -16.789239289936575, -18.250673302425408, -19.543143588509974, -20.634547221830868, -21.49753576401577, -22.111025464393744, -22.460213848856146, -22.536727812350183, -22.339923963082985, -21.876078672942207, -21.15778666339781, -20.204903612124635, -19.04275421515597, -17.701207480059576, -16.214964073024543, -14.621239193951766, -12.95881036606626, -11.267594575186743, -9.586543317078661, -7.952742815481475, -6.400707373049943, -4.960937883166035, -3.659226864884576, -2.5162081465056745, -1.5466912899937244, -0.7594430513580526, -0.15725249235574784, 0.2629878836044349, 0.5098956005285192, 0.5970343099487224, 0.5422276431523642, 0.3667216395220809, 0.09427175582099037, -0.24982878357922628, -0.6397346749071853, -1.0500531000652664, -1.4567096547269833, -1.8377578728852648, -2.174181494566325, -2.450350123872828, -2.654383180598856, -2.778578106320149, -2.8192648770789495, -2.776680896895422, -2.65497121390921, -2.46143756079433, -2.206157398853004, -1.9015173330367046, -1.5612026669535954, -1.1997972897509077, -0.8319339707781012, -0.47159234441070785, -0.13169729878051206, 0.17671274734400125, 0.4445852755453549, 0.6652742115956749, 0.8348187759446198, 0.9516507355520571, 1.0168200560089307, 1.03361007830562, 1.0071662068746425, 0.9442855303189658, 0.8527612885473395, 0.7410314181398346, 0.6176397264172144, 0.4907353063921842, 0.3677451608919906, 0.2549111105477895, 0.15708511586700882, 0.07754840904694524, 0.017902268646478155, -0.02186648460627946, -0.04327701328730217, -0.049140186737351516, -0.043269721266377605, -0.03014278317542109, -0.01453148436911844, -0.0011193294364411296, 0.0058613571598648455, 0.002959142496482794, -0.012225314117508188, -0.04084284262052299, -0.08268306210289882, -0.13615964029273195, -0.19839041665453078, -0.26535289898326353, -0.33215416223687017, -0.39335747855831216, -0.44329007837323714, -0.4765358846834791, -0.4882771134867664, -0.47461491886804985, -0.4330741125785352, -0.3626910157827981, -0.2642640701087746, -0.1405226466238043, 0.004077860508807929, 0.16330228203065345, 0.3294870549181641, 0.4938871770694376, 0.6469518059812657, 0.7790102199886042, 0.8806289333169264, 0.9431234911849068, 0.9592256949741973, 0.9233559531270542, 0.8320319757757627, 0.6842757516204508, 0.4816387443039115, 0.22823373978719683, -0.06923641731754934, -0.40182542054967635, -0.7587065660778325, -1.1275546680880288, -1.495149168659121, -1.848001034098579, -2.1729703232861968, -2.457861252336549, -2.6920814956405907, -2.867138627823164, -2.977028156339207, -3.018564221985583, -2.991519706467612, -2.898663100018248, -2.7455000388170947, -2.540084467855324, -2.292580457866683, -2.0145553847581796, -1.718587134033527, -1.417447499102609, -1.1233789161005914, -0.8476196210634162, -0.5996377034691569, -0.3867384884691922, -0.21372727781599501, -0.08264407721957445, 0.007184844192343186, 0.059054485037108057, 0.07855246548729673, 0.07308940683964364, 0.0513133943288422, 0.02242617682702323, -0.004536769580022797, -0.021490649159951067, -0.021973030048369646, -0.0017733297890748939, 0.040537617636391035, 0.10330118061059157, 0.18159094967546768, 0.2672986434475192, 0.34939041373212465, 0.41432960541923936, 0.4468722507805014, 0.43079680493211514, 0.3497846972505745, 0.18865569699383647, -0.06577019357360644, -0.4237512469902531, -0.8914839681881668, -1.4705555655534832, -2.157486369265815, -2.943239772992033, -3.813364514801743, -4.748258376260317, -5.7237485979936515, -6.711917242432153, -7.681981094340199, -8.602072793980751, -9.440146123411752, -10.165245001246117, -10.74999582874703, -11.170798858242756, -11.4092313967567, -11.454106641232956, -11.300689812282679, -10.951674442162139, -10.417869911458046, -9.716707936171087, -8.872061729107385, -7.913625911883373, -6.875002206319604, -5.792258872829936, -4.702758243225351, -3.6430565075511674, -2.647101874783811, -1.745167338456042, -0.9621398706956211, -0.31646158028802746, 0.1804201544039682, 0.5245735301161093, 0.7194693883120047, 0.7756310418354433, 0.7097538582994076, 0.5435811367852866, 0.30261621765631375, 0.014440608149666669, -0.2929551130518006, -0.5927432689034192, -0.8609009127633247, -1.0776195245086884, -1.2282659896220947, -1.304287963527178, -1.3034944014589194, -1.2299577084951059, -1.093687969115621, -0.9095821084061304, -0.6963351472128755, -0.4749358230434118, -0.2669269226565067, -0.09276510775764685, 0.029993882638460458, 0.08822408117029305, 0.07453325501070353, -0.01172122721459503, -0.1638174210420319, -0.3677879789699535, -0.6026886060090734, -0.8413225090444891, -1.0522251938214373, -1.2009415458942334, -1.2519511414047235, -1.1718926573086386, -0.9310922694912535, -0.5057506887716038, 0.11886438227159468, 0.9476742973747566, 1.97460469235488, 3.1807498803300525, 4.535306358598075, 5.996195791348352, 7.510479060927886, 9.017054533753987, 10.44910466136855, 11.736633668215845, 12.810097110485334, 13.6038382155837, 14.059439217600884, 14.129026352878583, 13.778117748617651, 12.988020880224433, 11.757555112321178, 10.103790303683226, 8.062082440849926, 5.685416769193509, 3.0426160643003652, 0.2152963209065676, -2.7047063864838004, -5.6189330063159035, -8.428043774532625, -11.034472053892491, -13.346655290774006, -15.2855310335395, -16.78539066394352, -17.797310126940445, -18.2937195131554, -18.266760209184103, -17.729237512006087, -16.715784872054996, -15.279017014288348, -13.487143305945287, -11.422227131173806, -9.174850854320455, -6.839549849341076, -4.5116775438024375, -2.2819080206262856, -0.2320350910558049, 1.5680254102264264, 3.0638624322516197, 4.218439930493039, 5.013512325698122, 5.449925934180884, 5.54662623221988, 5.339511785596937, 4.878715342063164, 4.225366893610721, 3.4482000725010167, 2.619527035584639, 1.8111544231040624, 1.0904273949758705, 0.5168656376404337, 0.13900183561968765, -0.008088022394106241, 0.09587198298439721, 0.4554193623809736, 1.0597483655955888, 1.8835922706411197, 2.8886556500986176, 4.027048896599578, 5.243303446346016, 6.477259597466742, 7.669379760766427, 8.762175759594719, 9.703069976218169, 10.44963820996509, 10.96912733462974, 11.239823455780845, 11.254615990155225, 11.018228340169918, 10.546409235940951, 9.867300939112189, 9.016994251323373, 8.037132481069344, 6.974571420951549, 5.876678438075107, 4.788769461968851, 3.7531189177984507, 2.8056606502042842, 1.9745247732784768, 1.2795703503073264, 0.7314303801236685, 0.3316716855672107, 0.07354406597767045, -0.0569197564079847, -0.07943969327433545, -0.01771586898526088, 0.10252073472842355, 0.2553333623837192, 0.4165007042980295, 0.5649241790694962, 0.6837700800533161, 0.7616057202578626, 0.7923968319006012, 0.7754282598859479, 0.7152200574153639, 0.6201863700950594, 0.5015523119567187, 0.37236805916007176, 0.2456896629308569, 0.13328372681422512, 0.0446020517432611, -0.014463629663910014, -0.04218732061361772, -0.04126426884904617, -0.018825007714188786, 0.014072539147611994, 0.04322833877905378, 0.05241906095596592, 0.024679843967986042, -0.056243852489399435, -0.20448478129704684, -0.43079241391634515, -0.7412948477295359, -1.1367829942906014, -1.6122302555545174, -2.1566882679475583, -2.753652544871612, -3.3817954696070625, -4.016214141746465, -4.629550742154928, -5.193728590889292, -5.681852693975229, -6.0694007466668705, -6.335984191815302, -6.466954038646404, -6.453822821969974, -6.294969825855881, -5.996348708140559, -5.570473454026832, -5.03584755522453, -4.416483998409697, -3.739701635422388, -3.0348483947010876, -2.3318286606010465, -1.65895063410251, -1.0416043763525722, -0.500767806832076, -0.05204174849493689, 0.29513793152651924, 0.5378389150612749, 0.6792558380546263, 0.7284214864230356, 0.6991942713676769, 0.6090056105682184, 0.4775450830612721, 0.3252421105707366, 0.17178111646686553, 0.03468335629078543, -0.07177158039555842, -0.13748030303433653, -0.1570388550831009, -0.12985895990383622, -0.05998699474068637, 0.044484175161108246, 0.17233406966693715, 0.31026578241117936, 0.4441224270263999, 0.5603241799159647, 0.6469074164352624, 0.6946086607657976, 0.697885780624929, 0.655180595711095, 0.5691635138246404, 0.4467155974544182, 0.2981741522730836, 0.1365873234012445, -0.023251254720942895, -0.16619096772943287, -0.2778378466007679, -0.3458780756868311, -0.36115972108752603, -0.3183550591882575, -0.21680982525546805, -0.060492012087542554, 0.14223984247334306, 0.37891909351851877, 0.634091077329598, 0.8904546381706278, 1.1300554350298777, 1.3357211350667066, 1.4925970509702826, 1.5891817315785086, 1.6183312811272357, 1.5781171004919818, 1.4718459341334407, 1.3080932078006888, 1.10009087218932, 0.8647169560302325, 0.6213779589487993, 0.3903196408946078, 0.19112165459440159, 0.04105629065063033, -0.04648089702514346, -0.06315019844398372, -0.006608380329696713, 0.11901567602721694, 0.3031902045496269, 0.5294578353493751, 0.7763914594317839, 1.0192098557316898, 1.2313399479059852, 1.3863519065370173, 1.4603361966144255, 1.433525844351745, 1.291981404255935, 1.029440505923191, 0.6477707149459284, 0.15722361093778647, -0.4232830412416111, -1.0675890694617702, -1.7436551731799095, -2.4152210056228625, -3.0444502772806645, -3.5941995347430864, -4.0308233173831205, -4.326370431466999, -4.460657115765386, -4.423337458589209, -4.21438407059612, -3.8446762292452754, -3.3358557739483223, -2.7188450977072787, -2.032218348447203, -1.3199953670086997, -0.6287783992905608, -0.004732169439316083, 0.5093502421996048, 0.8768879274603445, 1.0700227076513371, 1.0716440548503698, 0.8764849855216477, 0.4916989817646698, -0.06346241544332062, -0.7588608998197421, -1.5552000018893108, -2.4068913263231684, -3.264503424860792, -4.078167224620182, -4.801257734179058, -5.392564646995581, -5.819426940717295, -6.060053781773479, -6.104368469964658, -5.954569859058303, -5.6251620131947755, -5.141168175781663, -4.535943142653278, -3.8502800725147392, -3.1287599523292347, -2.4149167357072634, -1.7481262412154441, -1.1619516736378301, -0.6835823984439192, -0.3310477135303927], 'positive_zeros': ['0.74712520427779293049359071043112', '0.76389919425840720076528653597210', '1.39857396900715405153260297307137', '1.62427717701669106561410556519010', '1.81423992247569161045157607596141', '2.44506953035160570273660974566920', '2.79777535135361529284954269598910', '3.22764290651301528845936300125441', '3.34536915768417045049606506695429', '4.08842349534311842685138679787725', '4.20492491555449409220604760591322', '4.59790466331063369792514803536833', '4.94906115153582998029878879675668', '5.08020820731593002369805513108911', '5.12268696289500800055779870207271', '5.44869910711496184286412109401196', '5.71833272507841333575111256881446', '6.22852068467580380019077221423139', '6.34397721532183717445105786044343', '6.40733717475707245380090630623358', '6.61671312441268628995401131953367', '7.23828357222469569841866153964916', '7.38374377854596774315812180517236', '7.67001967339431837056579034132160', '7.73242805947301398077101233379721', '7.945951067993634467159190882747198', '8.360827733947179507965142659579476', '8.752360521794356883089690204386442', '9.059052696551416850029426786354451', '9.069577031669226523013285560163591'], 'prelabel': '6-2535e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.499119570804335, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e3-0', 'trace_hash': 1371262241189887779, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.74712520427779293049359071043', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.76389919425840720076528653597', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.39857396900715405153260297307', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 8294.022554769563, 'bad_primes': [3, 5, 13], 'central_character': '1.1', 'conductor': 16290480375, 'conductor_radical': 195, 'degree': 6, 'dirichlet_coefficients': [1, 0, -3, 0, 3, 0, 3, 2, 6, 0, 0, 0, 0, 0, -9, 0, 0, 0, 12, 0, -9, 0, 0, -6, 6, 0, -10, 0, 6, 0, 3, 0, 0, 0, 9, 0, 6, 0, 0, 6, 0, 0, 9, 0, 18, 0, -12, 0, -9, 0, 0, 0, 0, 0, 0, 6, -36, 0, -6, 0, -3, 0, 18, -4, 0, 0, 9, 0, 0, 0, -12, 12, 21, 0, -18, 0, 0, 0, -3, 0, 15, 0, -18, 0, 0, 0, -18, 0, 30, 0, 0, 0, -9, 0, 36, 0, 15, 0, 0, 0], 'euler11': [1, 0, 9, 16, 99, 0, 1331], 'euler13': [1, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, 9, -98, 153, 0, 4913], 'euler19': [1, -12, 93, -460, 1767, -4332, 6859], 'euler2': [1, 0, 0, -2, 0, 0, 8], 'euler23': [1, 0, 21, 96, 483, 0, 12167], 'euler29': [1, -6, 87, -334, 2523, -5046, 24389], 'euler3': [1, 3, 3, 1, 0, 0, 0], 'euler31': [1, -3, 0, 177, 0, -2883, 29791], 'euler37': [1, -6, 75, -452, 2775, -8214, 50653], 'euler41': [1, 0, 99, 26, 4059, 0, 68921], 'euler43': [1, -9, 144, -763, 6192, -16641, 79507], 'euler47': [1, 12, 135, 922, 6345, 26508, 103823], 'euler5': [1, -3, 3, -1, 0, 0, 0], 'euler53': [1, 0, 135, 16, 7155, 0, 148877], 'euler59': [1, 6, 165, 694, 9735, 20886, 205379], 'euler61': [1, 3, 162, 299, 9882, 11163, 226981], 'euler67': [1, -9, 120, -855, 8040, -40401, 300763], 'euler7': [1, -3, 18, -39, 126, -147, 343], 'euler71': [1, 12, 165, 1022, 11715, 60492, 357911], 'euler73': [1, -21, 312, -2977, 22776, -111909, 389017], 'euler79': [1, 3, 144, 111, 11376, 18723, 493039], 'euler83': [1, 18, 309, 2820, 25647, 124002, 571787], 'euler89': [1, -30, 555, -6222, 49395, -237630, 704969], 'euler97': [1, -15, 282, -2321, 27354, -141135, 912673], 'euler_factors': [[1, 0, 0, -2, 0, 0, 8], [1, 3, 3, 1, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, -3, 18, -39, 126, -147, 343], [1, 0, 9, 16, 99, 0, 1331], [1, 0, 0, 0, 0, 0, 0], [1, 0, 9, -98, 153, 0, 4913], [1, -12, 93, -460, 1767, -4332, 6859], [1, 0, 21, 96, 483, 0, 12167], [1, -6, 87, -334, 2523, -5046, 24389], [1, -3, 0, 177, 0, -2883, 29791], [1, -6, 75, -452, 2775, -8214, 50653], [1, 0, 99, 26, 4059, 0, 68921], [1, -9, 144, -763, 6192, -16641, 79507], [1, 12, 135, 922, 6345, 26508, 103823], [1, 0, 135, 16, 7155, 0, 148877], [1, 6, 165, 694, 9735, 20886, 205379], [1, 3, 162, 299, 9882, 11163, 226981], [1, -9, 120, -855, 8040, -40401, 300763], [1, 12, 165, 1022, 11715, 60492, 357911], [1, -21, 312, -2977, 22776, -111909, 389017], [1, 3, 144, 111, 11376, 18723, 493039], [1, 18, 309, 2820, 25647, 124002, 571787], [1, -30, 555, -6222, 49395, -237630, 704969], [1, -15, 282, -2321, 27354, -141135, 912673]], 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2535/2/a/bb'], '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': '6-2535e3-1.1-c1e3-0-4', 'motivic_weight': 1, '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-2535e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.499119570804335, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1371262241189887779, 'z1': {'__RealLiteral__': 0, 'data': '0.74712520427779293049359071043', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '947093713648382713231381362143,968357272115530699003846029514,1772903131275495937613106585633', 'Lhash_array': ['947093713648382713231381362143', '968357272115530699003846029514', '1772903131275495937613106585633'], 'factors': ['2-2535-1.1-c1-0-19', '2-2535-1.1-c1-0-24', '2-2535-1.1-c1-0-72'], 'label': '6-2535e3-1.1-c1e3-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2535/2/a/bb'}