-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '786347462392029955591160821600,1253718435895214121890104169821,1845343172319366495167090336472,2295303758633369332229591838426,3130780698850658519620860183746', 'a10': 0, 'a2': 1, 'a3': -1, 'a4': 1, 'a5': 0, 'a6': -1, 'a7': -1, 'a8': 3, 'a9': -4, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 450.1219434564895, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [1]], [17, [1, 5, 10, 10, 5, 1]]], 'bad_primes': [5, 17], 'central_character': '425.1', 'coefficient_field': '1.1.1.1', 'conductor': 13865791015625, 'conductor_radical': 85, 'degree': 10, 'euler_factors': [[1, -1, 0, -2, 1, 3, 2, -8, 0, -16, 32], [1, 1, 5, 2, 23, 19, 69, 18, 135, 81, 243], [1], [1, 1, 13, 26, 137, 169, 959, 1274, 4459, 2401, 16807], [1, -4, 33, -56, 328, -204, 3608, -6776, 43923, -58564, 161051], [1, -3, 39, -98, 853, -1761, 11089, -16562, 85683, -85683, 371293], [1, 5, 10, 10, 5, 1], [1, -6, 63, -152, 1114, -1044, 21166, -54872, 432117, -781926, 2476099], [1, 4, 69, 116, 1792, 996, 41216, 61364, 839523, 1119364, 6436343], [1, -2, 69, -184, 3142, -7068, 91118, -154744, 1682841, -1414562, 20511149], [1, -21, 257, -2246, 16111, -96739, 499441, -2158406, 7656287, -19393941, 28629151], [1, -2, 105, -40, 5930, -1308, 219410, -54760, 5318565, -3748322, 69343957], [1, 8, 185, 1144, 14302, 66960, 586382, 1923064, 12750385, 22606088, 115856201], [1, -4, 79, -192, 4818, -16424, 207174, -355008, 6281053, -13675204, 147008443], [1, -2, 147, 104, 9154, 18132, 430238, 229736, 15261981, -9759362, 229345007], [1, 21, 419, 4902, 52981, 401643, 2807993, 13769718, 62379463, 165700101, 418195493], [1, -12, 179, -1560, 16294, -112296, 961346, -5430360, 36762841, -145408332, 714924299], [1, 2, 265, 408, 30258, 35692, 1845738, 1518168, 60149965, 27691682, 844596301], [1, -12, 159, -1808, 17386, -161544, 1164862, -8116112, 47821317, -241813452, 1350125107], [1, -21, 337, -3474, 33841, -269733, 2402711, -17512434, 120616007, -533645301, 1804229351], [1, 22, 301, 2816, 25754, 218404, 1880042, 15006464, 117094117, 624761302, 2073071593], [1, -41, 919, -14404, 175265, -1721495, 13845935, -89895364, 453102841, -1596953321, 3077056399], [1, -8, 351, -2176, 53722, -256944, 4458926, -14990464, 200697237, -379666568, 3939040643], [1, 10, 201, 2336, 25582, 239388, 2276798, 18503456, 141698769, 627422410, 5584059449], [1, -20, 541, -6880, 104786, -950360, 10164242, -64733920, 493756093, -1770585620, 8587340257], [1, 1, 395, 434, 71581, 60951, 7229681, 4427234, 406968895, 104060401, 10510100501], [1, 2, 235, 1128, 28482, 169228, 2933646, 11966952, 256790845, 225101762, 11592740743], [1, 23, 471, 6880, 96289, 1023573, 10302923, 78769120, 576995253, 3014830823, 14025517307], [1, -18, 333, -3632, 48334, -443340, 5268406, -43151792, 431244657, -2540846898, 15386239549], [1, 12, 101, 2640, 34042, 234696, 3846746, 33710160, 145732597, 1956568332, 18424351793]], 'euler_factors_factorization': [[[[1, -1, 0, -2, 1, 3, 2, -8, 0, -16, 32], 1]], [[[1, 1, 5, 2, 23, 19, 69, 18, 135, 81, 243], 1]], [1], [[[1, 1, 13, 26, 137, 169, 959, 1274, 4459, 2401, 16807], 1]], [[[1, -4, 33, -56, 328, -204, 3608, -6776, 43923, -58564, 161051], 1]], [[[1, -3, 39, -98, 853, -1761, 11089, -16562, 85683, -85683, 371293], 1]], [[[1, 1], 5]], [[[1, -6, 63, -152, 1114, -1044, 21166, -54872, 432117, -781926, 2476099], 1]], [[[1, 4, 69, 116, 1792, 996, 41216, 61364, 839523, 1119364, 6436343], 1]], [[[1, -2, 69, -184, 3142, -7068, 91118, -154744, 1682841, -1414562, 20511149], 1]], [[[1, -21, 257, -2246, 16111, -96739, 499441, -2158406, 7656287, -19393941, 28629151], 1]], [[[1, -2, 105, -40, 5930, -1308, 219410, -54760, 5318565, -3748322, 69343957], 1]], [[[1, 8, 185, 1144, 14302, 66960, 586382, 1923064, 12750385, 22606088, 115856201], 1]], [[[1, -4, 79, -192, 4818, -16424, 207174, -355008, 6281053, -13675204, 147008443], 1]], [[[1, -2, 147, 104, 9154, 18132, 430238, 229736, 15261981, -9759362, 229345007], 1]], [[[1, 21, 419, 4902, 52981, 401643, 2807993, 13769718, 62379463, 165700101, 418195493], 1]], [[[1, -12, 179, -1560, 16294, -112296, 961346, -5430360, 36762841, -145408332, 714924299], 1]], [[[1, 2, 265, 408, 30258, 35692, 1845738, 1518168, 60149965, 27691682, 844596301], 1]], [[[1, -12, 159, -1808, 17386, -161544, 1164862, -8116112, 47821317, -241813452, 1350125107], 1]], [[[1, -21, 337, -3474, 33841, -269733, 2402711, -17512434, 120616007, -533645301, 1804229351], 1]], [[[1, 22, 301, 2816, 25754, 218404, 1880042, 15006464, 117094117, 624761302, 2073071593], 1]], [[[1, -41, 919, -14404, 175265, -1721495, 13845935, -89895364, 453102841, -1596953321, 3077056399], 1]], [[[1, -8, 351, -2176, 53722, -256944, 4458926, -14990464, 200697237, -379666568, 3939040643], 1]], [[[1, 10, 201, 2336, 25582, 239388, 2276798, 18503456, 141698769, 627422410, 5584059449], 1]], [[[1, -20, 541, -6880, 104786, -950360, 10164242, -64733920, 493756093, -1770585620, 8587340257], 1]], [[[1, 1, 395, 434, 71581, 60951, 7229681, 4427234, 406968895, 104060401, 10510100501], 1]], [[[1, 2, 235, 1128, 28482, 169228, 2933646, 11966952, 256790845, 225101762, 11592740743], 1]], [[[1, 23, 471, 6880, 96289, 1023573, 10302923, 78769120, 576995253, 3014830823, 14025517307], 1]], [[[1, -18, 333, -3632, 48334, -443340, 5268406, -43151792, 431244657, -2540846898, 15386239549], 1]], [[[1, 12, 101, 2640, 34042, 234696, 3846746, 33710160, 145732597, 1956568332, 18424351793], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '10-425e5-1.1-c1e5-0-0', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/425/2/a/j', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, 'plot_values': [3.701423033771181, 3.6841988735197444, 3.6638162322930024, 3.6371187593632994, 3.6009747104965233, 3.552292808760193, 3.4885881045141174, 3.4096272319368928, 3.315798371861079, 3.207576782549267, 3.085534755815788, 2.9501471330164564, 2.801213645809244, 2.6385280711943664, 2.4621159844813465, 2.2722648437605426, 2.0695790010295942, 1.8550826520491905, 1.6301673581862857, 1.3965857011409482, 1.156464541089954, 0.9123104102211792, 0.6670031679009579, 0.42378335363836483, 0.18622848816431273, -0.0417838381879088, -0.2561126012087551, -0.45240031621961235, -0.6262408396619538, -0.7732996342095958, -0.8894272786986692, -0.9707875542612812, -1.0140355261091574, -1.0165106607696897, -0.9763794841520042, -0.8927671503294443, -0.765908300529085, -0.5973701462002449, -0.3900946133053811, -0.1484055580724169, 0.12200058999296605, 0.41405767112657815, 0.7192845535242064, 1.028086995473539, 1.3300425631918185, 1.6141873212757054, 1.8693061178548025, 2.084226118309816, 2.2484128523928404, 2.3524624777270056, 2.388540523402829, 2.350796253539337, 2.2357976196612097, 2.042960763648655, 1.7747996533884696, 1.4370530960543841, 1.0387286533907518, 0.5921212733355518, 0.11248692829231369, -0.38243331423842336, -0.8730013501804724, -1.3383555413258141, -1.7571416313128314, -2.108573006283476, -2.373450521899008, -2.535134789912304, -2.5804677860632843, -2.500656717739198, -2.2920325848065417, -1.9565437313600376, -1.5020002737029683, -0.9420828777551595, -0.2961415604967887, 0.41150081149301315, 1.1525007277640935, 1.8956744130207976, 2.6083908117252714, 3.258169935341032, 3.8144059085874757, 4.250015843660136, 4.542981674445773, 4.67778367154235, 4.6467455406885705, 4.450579529588453, 4.098580601885886, 3.608433656827272, 3.005666506819142, 2.322808271809111, 1.5973815161063678, 0.8698222524127047, 0.18127943631607701, -0.4286332191117098, -0.9239965859027429, -1.2751678708197016, -1.4607537149585135, -1.4690652115405325, -1.2989779652040556, -0.9599758513081676, -0.4719797690923918, 0.13563841602523297, 0.8257031821949087, 1.5555699710836217, 2.28037832812731, 2.9555503036228084, 3.539457674452396, 3.9960790233327312, 4.29762571305833, 4.427288371870535, 4.379567017077905, 4.16027252387464, 3.786052921424383, 3.28343616510522, 2.687458065530931, 2.0381293608093896, 1.3772429927208307, 0.745366251666123, 0.17900429009003063, -0.2920601621917326, -0.6473322390202366, -0.876923055223504, -0.9818990883187383, -0.9738037224180875, -0.8734741412038108, -0.708757501034476, -0.5115789229905816, -0.31470968943865457, -0.14849227768893458, -0.037762892916500944, 0.0008594355128486262, -0.03915418959797628, -0.15334413953897832, -0.32643466445341496, -0.5336414730143543, -0.7429244995061364, -0.9180332455431126, -1.0221353309549968, -1.0217721849359198, -0.8907359822459245, -0.6130368483996327, -0.18524241376575845, 0.3821014298652692, 1.064354394237406, 1.8246571999737264, 2.6165727552500595, 3.387373828677427, 4.082070205167054, 4.648392051448867, 5.043233873851662, 5.235512337826692, 5.208476497879779, 4.96139023117332, 4.510671450957784, 3.8906892469589507, 3.148683486312302, 2.340102684691791, 1.524030073596838, 0.7586651692134454, 0.09686234169775965, -0.42022010336560706, -0.7666741783315932, -0.9334754143870445, -0.9286190020012105, -0.7760603932268546, -0.5129811260832143, -0.18524153083002098, 0.15790746736579947, 0.46921871105455504, 0.708502186925677, 0.8472937861034506, 0.8719801617908577, 0.7851316746212625, 0.6050188807390879, 0.36341037892170724, 0.10168973237607926, -0.13422105945853519, -0.2995101155187773, -0.3560834789945861, -0.27752167277124545, -0.052753196543768525, 0.3119871550850595, 0.7931512580558391, 1.3519299543729157, 1.9382908817428666, 2.4961602109373153, 2.9694353647865186, 3.308275700078131, 3.474957693644808, 3.4482006763006146, 3.2254281864055074, 2.823440085092721, 2.2771423816121485, 1.6358455015135018, 0.9562659338975642, 0.2969667477160657, -0.2872573174505767, -0.7509336042293187, -1.0633823441268562, -1.2142340888140264, -1.211490806423436, -1.0789007023594765, -0.8525136278743821, -0.5764660488903358, -0.29809978332178755, -0.05932206471072399, 0.10908161221455362, 0.19091922274728518, 0.18615880108916266, 0.11070624356176939, -0.005879893846075373, -0.12543110297365143, -0.207504882678096, -0.21608840031587997, -0.12601306325279885, 0.07170396683599438, 0.36673189149293817, 0.7289241851595051, 1.1105489577074008, 1.4511641097168442, 1.684642143948585, 1.747434525327666, 1.5871124975759385, 1.1702128632826003, 0.48827297320591057, -0.43938670528470924, -1.5656933330062208, -2.818925233083627, -4.109142959302131, -5.33828820876339, -6.409769512755347, -7.237926285350533, -7.75681442642545, -7.927909079308423, -7.746279923903665, -7.238216622152267, -6.45710348596959, -5.47743175548989, -4.387131245576247, -3.2783606809489543, -2.2355875634570364, -1.327291407367605, -0.6004639408780862, -0.07759331226544107, 0.24402660569670742, 0.38880094277862914, 0.3966542285848288, 0.3157625879182461, 0.19518090519512707, 0.0780669275828181, -0.0042370922204928866, -0.03511110838822183, -0.012811653601819425, 0.05170714102500219, 0.1388299539126782, 0.22559261869287534, 0.2910380397100846, 0.3205996949103364, 0.30886976380659975, 0.2603921324205275, 0.1878863106323213, 0.1086833271864512, 0.040176360884049696, -0.004795708139966216, -0.02166448902265309, -0.016009722767874986, -0.0027642474848095237, -0.0027031721936248195, -0.03656251351658191, -0.1176790243049115, -0.2444912138997868, -0.3942848703430826, -0.5195578101224176, -0.548452534815635, -0.39085797360409374, 0.051968759798666136, 0.8743261318399438, 2.1505189089874954, 3.9183653217462964, 6.164427540259114, 8.817164265102694, 11.74533292808507, 14.762935704030038, 17.642597481074127, 20.140751383341197, 22.023423610261773, 23.091964867001575, 23.20769318741961, 22.314825535889103, 20.461802723728937, 17.795579076518536, 14.547941097912581, 11.01451180859955, 7.527481827462198, 4.42332141019075, 1.9977997858100136, 0.4713493937377137, -0.035292171421259406, 0.4853948022759144, 1.9257436155516674, 4.075468656833088, 6.648238444970909, 9.316864517012366, 11.753107397194613, 13.668668665980817, 14.848395431090735, 15.17302698098376, 14.629416414266133, 13.307844111803998, 11.387138830374562, 9.103070510888822, 6.713097871955802, 4.460913363379666, 2.5448152850661168, 1.0940680528921638, 0.1552804106884091, -0.30681275178584505, -0.3962172599820061, -0.2624994371927954, -0.07125700447609751, 0.02491469419583045, -0.087836814978929, -0.4658307445269785, -1.099573003182857, -1.9204666951211562, -2.816058554244649, -3.6508662078321334, -4.2908453781763916, -4.6294377034146335, -4.613310652201711, -4.247691458950929, -3.5929798060349647, -2.753563159849222, -1.859843399339623, -1.0449856527064052, -0.4147937348234618, -0.02669889860022999, 0.12119229401865826, 0.09029535861143385, -0.009465564695577768, -0.0422513271928441, 0.12360526908852411, 0.5839318674715974, 1.3710303676778013, 2.4352667615508325, 3.639876708426357, 4.771123799304358, 5.56379228081334, 5.740015070432414, 5.055171225336415, 3.338738289412803, 0.5308480577981197, -3.2917210058175574, -7.9088399274564765, -12.983940303184518, -18.097846870217115, -22.79055633815981, -26.612031327070284, -29.18423091501715, -30.278571412907805, -29.82405990771016, -27.9050990963203, -24.749546473858782, -20.70787753798347, -16.22429733451902, -11.7489586305835, -7.676146374452975, -4.302190864947342, -1.7998705105148214, -0.20782516736166742, 0.5684234213981106, 0.7240282398459031, 0.5082798535821323, 0.1745756549118885, -0.065983555443132, -0.08215589379998879, 0.156992847156995, 0.5821192754113579, 1.042996560326921, 1.3434619939410792, 1.285281755794881, 0.7129506945001296, -0.44836301563762565, -2.1692296067756915, -4.314394338917327, -6.65852653182596, -8.916803333437803, -10.787189644973408, -12.001397830785175, -12.380819185480751, -11.858199698656653, -10.486018200065422, -8.430357766143098, -5.950674947794574, -3.366082280858216, -0.9918636567398618, 0.9099320866229106, 2.166531102109223, 2.7159735408259675, 2.61231255586132, 2.012447072556235, 1.1413527243346158, 0.24758905890656702, -0.4431110009482842, -0.7703245733202971, -0.6670777138399313, -0.16904474836658734, 0.5954858331918792, 1.432437098073455, 2.1216025770594955, 2.4634076979849433, 2.3207538356249287, 1.6492033617335695, 0.5107354701431264, -0.9315203585798423, -2.438980936697567, -3.737283485474595, -4.563505170032767, -4.713078625153315, -4.076235411542811, -2.6588136581699415, -0.5857107924451537, 1.9143481702354748, 4.543615193214114, 6.990269670040514, 8.970690264813529, 10.267053446401315, 10.756819068977272, 10.43114246170786, 9.399330842609851, 7.8532185986866665, 6.0300668510929425, 4.175104453846927, 2.50569029243761, 1.1797853011864061, 0.2741849443166157, -0.21601545786434168, -0.36390339811220973, -0.28796586627313964, -0.12381616728005133, 0.006861325060600882, 0.01986603915142008, -0.1185388032522526, -0.39008104786643055, -0.7340340394825438, -1.065739693908768, -1.298863530316329, -1.3664895380989726, -1.237242323828245, -0.9233059225061044, -0.47653491585840524, 0.02335746377795003, 0.48590308389267284, 0.8292091416037212, 0.9981088551212159, 0.9747706198609144, 0.7805978545005584, 0.4701147284838022, 0.11811850896213177, -0.1979414217044749, -0.41615620840124173, -0.5033376849102669, -0.4614687966965956, -0.3264515842758135, -0.15901902646715452, -0.029029817293978116, 0.0015876691901256942, -0.10600539899841382, -0.3572799276632445, -0.7221357750005003, -1.141343359743764, -1.5389603795373132, -1.838304330207442, -1.9791447785618153, -1.9336949762796405, -1.7110174496261812, -1.3538001049387247, -0.9286978533723602, -0.5119057955572949, -0.1720703732470792, 0.047234355678519024, 0.13678171848685777, 0.122230083256531, 0.0563028525139528, 0.003852155804906452, 0.022230790060384156, 0.1425754748023271, 0.3565711334398662, 0.6121878698920004, 0.8208508254253707, 0.8745702037758138, 0.6697932000145799, 0.13363020364345693, -0.7525482444865541, -1.93810926744694, -3.3050677397358683, -4.68255353654266, -5.872822951053948, -6.686351875677641, -6.981653252248763, -6.6951497149668135, -5.857507676706337, -4.594410606649643, -3.110107940617144, -1.6526870667563809, -0.46629351780173567, 0.25489051800900464, 0.40526117415169943, -0.0065722081547944415, -0.8513226922907675, -1.9008480265136978, -2.867542492116784, -3.4548258939901904, -3.4120592541343333, -2.5862836015237964, -0.9544216247886154, 1.3677019609380223, 4.139464237447469, 7.031770970403541, 9.683643637732086, 11.761124456956505, 13.01015941246544, 13.296256509186463, 12.625192107700196, 11.140787615681402, 9.090648145148979, 6.78057937561232, 4.522721611176766, 2.5838000615045535, 1.1427945075635555, 0.27317721389753946, -0.05626950912861975, 0.03598246563049841, 0.37648898154509, 0.7817209178278575, 1.0965768038380093, 1.219509775736493, 1.1153093866270205, 0.8154125083185055, 0.4045473882647619, -0.011622786277116723, -0.33543692101586714, -0.49937126017047273, -0.47995894443494963, -0.3029305241525615, -0.03273539209660327, 0.2479345540653553, 0.46080403994397057, 0.5515640704681655, 0.5026096044271358, 0.33683956646630736, 0.10941282778987871, -0.10917129842014793, -0.25387006320813277, -0.28435270234500026, -0.19728509383467158, -0.028959255477696025, 0.1527542634178285, 0.265900904156031, 0.23723903007120742, 0.022526455962801038, -0.3790441142473553, -0.9194379212231215, -1.5085210883207845, -2.0359906275308437, -2.39569202068358, -2.508349221711866, -2.3400409428119757, -1.9137714191983939, -1.3108561064585857, -0.6475838670896749, -0.04813660147666074, 0.3820317748939396, 0.5790059587466955, 0.5361756133287215, 0.3060812730242548, -0.015068387402400829, -0.3131910121609548, -0.4862031883582563, -0.4723539278723892, -0.26922983718414784, 0.06359706875633483, 0.4187416775016146, 0.6690923270349275, 0.7039168833384652, 0.4637479269591621, -0.0352230850783532, -0.6942409430630034, -1.346960563976641, -1.797035568035448, -1.8675407073517865, -1.4525147394232016, -0.5613184810482466, 0.6555660552195853, 1.9139395189076753, 2.8361001833116357, 3.0110492982142683, 2.0693340645354974, -0.23438429049277298, -3.94274541764316, -8.872510995208845, -14.624825025246446, -20.626830420077884, -26.204246938189826, -30.688781360406328, -33.53228900254911, -34.390308071886444, -33.17235313077421, -30.057483684854244, -25.477442129865885, -20.034095396646418, -14.396152361069428, -9.194453683743902, -4.929471118951719, -1.905540955254269, -0.20433699617377526, 0.30182932591874617, -0.09686652473312582, -1.019484015323204, -2.0821763075783823, -2.9678205235078168, -3.469355003813324, -3.507904164554485, -3.1273449784653247, -2.4676981564358322, -1.7044157272679126, -0.9982000294751177, -0.46021254704170067, -0.1349234938058131, -0.0009646956242433362, 0.011972191976340342, -0.008938116576036725, 0.00774884769079261, 0.093876621924065, 0.23247501171775065, 0.3650375717217114, 0.4125428421223039, 0.30371374298099574, 0.00252728640815537, -0.4731192070765089, -1.0500314375866622, -1.6141867200573354, -2.037803154967923, -2.2134238876036947, -2.087308095497824, -1.6773599610334837, -1.0735337963700595, -0.42044485409757004, 0.11522893198146719, 0.38726725887856084, 0.31045980748895513, -0.1147229447395399, -0.7977111200653138, -1.5751820222366932, -2.2484862302055264, -2.636589738342154, -2.6268308506777607, -2.211901351925069, -1.5033329164061102, -0.7161370869368914, -0.12952896176841533, -0.027085445818769743, -0.6284414868434613, -2.028641586189854, -4.169158308543, -6.8372245760248695, -9.691077754161713, -12.312012955393719, -14.28235761193595, -15.287780331596547, -15.161573068546536, -13.906519223135598, -11.6934808011493, -8.835166065352992, -5.735785424296349, -2.7986364778672437, -0.3552596776175201, 1.3818371488895316, 2.3423748910995608, 2.5962906746084715, 2.3171101189865366, 1.7296426404720602, 1.0561918766944784, 0.4718564503368081, 0.07667482728547771, -0.11012032519699742, -0.13299017606857536, -0.06992691214448635, 0.0011685968852527746, 0.03005339239075909, 0.006526926605738876, -0.044141859578849515, -0.07954277938884068, -0.06594298648767019, -0.001979221938663662, 0.06974423325074873, 0.06734231960462733, -0.10936731899769363, -0.5445146738973746, -1.2672881896443937, -2.2274917747542755, -3.288756346608729, -4.24218720235317, -4.843040605305647, -4.875906629776178, -4.212769644530123, -2.8527817283383325, -0.9376766597686681, 1.2606436589192749, 3.3784986636639878, 5.042553965626025, 5.955522863805966, 5.96720926916151, 5.116780865496523, 3.6333372828987027, 1.8888001199969833, 0.3184623142399867, -0.6780441839274726, -0.8360429871660362, -0.09802513509800449, 1.3685862809145062, 3.2011067951201633, 4.91376179350162, 6.007324660644593, 6.10747447294242, 5.051414913461138, 2.926325329034557, 0.05984867387246144, -3.0367030047777868, -5.772530327446831, -7.632824954742214, -8.297435548246511, -7.710538682961332, -6.095284117008772, -3.9102484277237015, -1.7322633289700902, -0.10814815274351469, 0.5852954313583068, 0.24357267298808108, -0.9224640964836296, -2.4233781753129686, -3.6041064178642404, -3.8059265038345136, -2.541546554614986, 0.36061848149616854, 4.673844457845122, 9.773015649382975, 14.72470026490174, 18.462422601816645, 20.020833577452272, 18.721677739870945, 14.32360821325883, 7.10867443391329, -2.126911103050738, -12.222655370028406, -21.866920785707606, -29.80458290060201, -35.03304612654782, -36.97974953387572, -35.65348955947774, -31.555400689621667, -25.535793807703875, -18.626986501376933, -11.870548494871212, -6.15558431688022, -2.045216526462682, 0.27574708344047183, 0.9669284873730032, 0.44188980775599696, -0.7558577007094209, -2.0862539583495, -3.1233947950968783, -3.6213887178163784, -3.5302335632732826, -2.9662553424224756, -2.141332672251466, -1.2863862419585117, -0.5871314152426633, -0.14417691861983414, 0.03621946119865481, 0.021600560217003708, -0.08525556160040185, -0.18725422050124216, -0.22430095794529964, -0.18654075519703156, -0.10451306949902323, -0.025338716260842054, 0.01444884505316629, 0.009158716071553616, -0.011546664518011628, 0.0014256709438836904, 0.08557756028275221, 0.2309983784624185, 0.3517998542704822, 0.27873987924101484, -0.2196287640590859, -1.3901475978466329, -3.4308815505304158, -6.42292422582627, -10.276847675447568, -14.715035559923797, -19.292067360449423, -23.452952800600727, -26.626932133661583, -28.350573406153885, -28.346742319091746, -26.57513864793648, -23.245504883178945, -18.789874077825054, -13.794262779419803, -8.870715112594524, -4.550547818334229, -1.2050272037337704, 0.999965452433098, 2.1092639024703965, 2.334279389741192, 1.9793482033564682, 1.362043778147867, 0.7444479580084405, 0.28861924085637686, 0.04595743290663264, -0.02016896710452656, 0.007199742699255715, 0.04470145339748103, 0.044786448563430885, 0.007943244377370373, -0.0302011532122304, -0.030113218113168316, 0.01330651881882091, 0.04046270860105625, -0.0795942905287234, -0.5271560264688798, -1.484316526374875, -3.0722816000048114, -5.291696622342315, -7.986608942889183, -10.84285311619386, -13.427046801723572, -15.270090894151057, -15.992024426888086, -15.382152562223709, -13.455055749569194, -10.469457941797897, -6.9014818381936225, -3.366185976348922, -0.4575119763386018, 1.3849964096337908, 1.9738663012916453, 1.4226219506120243, 0.12865295192161252, -1.3123590140983041, -2.244941317323309, -2.1084088621102888, -0.5793626434404742, 2.325280806139763, 6.240931656518961, 10.521583986354617, 14.363733955079374, 16.96811543994334, 17.716653759227764, 16.306221258685415, 12.81137206498498, 7.673070317717443, 1.616378890423992, -4.493672950097264, -9.81894008606272, -13.69484548694801, -15.73560918673546, -15.884483523048868, -14.40103709338352, -11.764087917857838, -8.556312704728835, -5.347572229712756, -2.59330827765186, -0.5650453287638345, 0.660490915689595, 1.1698719386521812, 1.156932143965461, 0.8563596430105586, 0.479579518076295, 0.16963043608460202, -0.010486070564575624, -0.0659933479490588, -0.0441427482328274, -0.0024715895406045227, 0.018752721975612282, 0.00893173559390622, -0.015517945226192879, -0.02461019700521067, 0.0070341365380062245, 0.08524231434908024, 0.19108579477641238, 0.2869015708688981, 0.3310784207004472, 0.29625627561982676, 0.18362017213122458, 0.027942100723450575, -0.10937771997372168, -0.1584047641275553, -0.06363425163751638, 0.1971366020753614, 0.6011087518281839, 1.0800395068049111, 1.5349953205905058, 1.8690051622929125, 2.0105060166123008, 1.9294757786626056, 1.645244045378664, 1.2246485281241848, 0.7685189356281081, 0.3748083820335147, 0.11186221208421059, 0.00395447456657996, 0.029098529132625443, 0.1285095142809687, 0.2280875341374125, 0.26517928240040284, 0.2093749470071039, 0.07130705329375685, -0.10258792643302754, -0.24827983613795, -0.3091167873374168, -0.25864351068188157, -0.11283499678061157, 0.07416278311063146, 0.22890200309423292, 0.28684561877959897, 0.22217792172874648, 0.06938829875224134, -0.07494224040561273, -0.07485072446426637, 0.20887037937936398, 0.8751789544757971, 1.940732300886282, 3.3135362147893543, 4.803772269206251, 6.159330890196932, 7.118266138306951, 7.470813163984412, 7.123732907166995, 6.128219978219538, 4.6688993449298986, 3.021304781243885, 1.487528188585168, 0.32270373698638793, -0.33483112426064177, -0.49732912014873387, -0.31888961909634, -0.047103351100656506, 0.0538402765903004, -0.21176510095571613, -0.9030614111177758, -1.909864509568982, -2.9683142827585227, -3.7288167123793077, -3.84666635745405, -3.0777607109689216, -1.3596162604583624, 1.1457128634660279, 4.0772542070597115, 6.95474978699337, 9.276992465379461, 10.62697972815186, 10.77278735360194, 9.750874195041773, 7.830161573532077, 5.435354310855696, 3.0495744333513812, 1.1112676120719547, -0.07970988686562802, -0.43207717479585817, -0.061105830992679716, 0.7646439795476566, 1.7075627485481402, 2.457570366710799, 2.8112946256672315, 2.7098484762128123, 2.2325677791010197, 1.5544970091240455, 0.8806361105478334, 0.368856706410016, 0.0844305966607891, -0.005871377963711666, -0.002068202397988951, -0.0123937043967241, -0.08612850843235796, -0.16275884805004878, -0.059201763631193956, 0.49619199248778373, 1.7915800520592633, 4.038311993321438, 7.279910839623221, 11.329320326760731, 15.763531129159839, 20.010487456395484, 23.448025634960477, 25.519339203108352, 25.848233739755436, 24.338170534654083, 21.24029668881256, 17.061292723995702, 12.443793885979549, 8.038204507971736, 4.382556903009466, 1.8088122701561442, 0.382910752263561, -0.06887794798162587, 0.12143554659663855, 0.5708723558233774, 0.9518654085490442, 1.0675401903623456, 0.8787647243729841, 0.48204886703100436, 0.04947483467186163, -0.24966537917003886, -0.31684891944865307, -0.15857363412687436, 0.11922535668931179, 0.35321430693081746, 0.38645194239530456, 0.13005249364020952, -0.39956961742819336, -1.0782553460223914, -1.710746969197067, -2.1033744226166644, -2.1285735354352284, -1.768118010161648, -1.1244460547108428, -0.3947287512565969, 0.19197427863025646, 0.4617054679268647, 0.3586940965950367, -0.030662641013617, -0.5004202490423221, -0.7937126840593207, -0.7053745443006676, -0.1788301287885347, 0.6338662269422088, 1.3723761441156328, 1.5392550390089088, 0.6252767766260154, -1.7391069114114417, -5.641524558359293, -10.801001076636648, -16.599491232268182, -22.18118995577339, -26.60446833464105, -29.02986555109623, -28.927063891003566, -26.275790082110788, -21.5198617369587, -15.453648462906541, -9.062424426820712, -3.3350089070756463, 0.9303963080472312, 3.3210809820238083, 3.855731836787868, 2.921903403943189, 1.14207026440334, -0.7999783128808249, -2.3376213051051242, -3.1420374012962995, -3.1605736710277132, -2.5758634422044526, -1.7059895820587694, -0.8733529600990969, -0.2964067716730022, -0.03567161754190709, -0.005930692758086033, -0.04678376285193251, -0.022283056980240218, 0.09113320360964157, 0.1626442140404464, -0.06757684255319833, -0.8987432198675747, -2.545427522503524, -5.017361692955529, -8.041244224435319, -11.067229547607795, -13.408047204580974, -14.408908611145568, -13.627760718950501, -10.99226208531425, -6.897148150357706, -2.1994875227672637, 2.0002683189564134, 4.627158770541254, 4.900513336545836, 2.5569106702317757, -2.020201790469363, -7.84856040855341, -13.56099134050355, -17.725411827126866, -19.201401754280308, -17.450095481992072, -12.694325138134042, -5.904292846985697, 1.3961120490880907, 7.48012086996357, 10.85725477397138, 10.607935017798425, 6.602034687835547, -0.4341232069556182, -9.043040597108865, -17.401867704967454, -23.743241043277738, -26.701239143322038, -25.57087179420308, -20.463359906454837, -12.324569270287405, -2.6128051103659065, 7.050041827145978, 15.193610460089358, 20.754246102380463, 23.258713292422325, 22.85301620033757, 20.166612417589022, 16.099629849628236, 11.595162050089986, 7.445481283310323, 4.159093379721517, 1.925980219742146, 0.6649618516218544, 0.1225551047200696, -0.007889223191136606, 0.018252970808936387, 0.04572181339625423, 0.022337169931008066, -0.031035463133853417, -0.06703133256743951, -0.057364942676236506, -0.013130895212179684, 0.022396444991671108, 9.529803069401595e-06, -0.10425465463734612, -0.2683014688728642, -0.4240254674095289, -0.47980971760063773, -0.35859943160548896, -0.03794917290950295, 0.42953881043861136, 0.9212459071957337, 1.2751581876702218, 1.3394071635274063, 1.0277432447496604, 0.35558764774977925, -0.5540735992215977, -1.4969561221284322, -2.2419495672112637, -2.6021552197847093, -2.487403677933874, -1.929737090255161, -1.0757281200649704, -0.1457283405812293, 0.6331572026348187, 1.0970989967779519, 1.1881389228744776, 0.9638893309162305, 0.5729477983424592, 0.2005730321414655, 0.0006107139435044615, 0.04455131181514729, 0.299744405105343, 0.6425547905864936, 0.9072874922983256, 0.949677599021475, 0.6999536685972073, 0.19049884375636447, -0.45032268952208926, -1.0400377833305918, -1.4094992613938608, -1.4626469849716046, -1.210687364635736, -0.7699776832000487, -0.3195547053596443, -0.02413180516212251, 0.037846164642673215, -0.08158391898536163, -0.20102563469440532, -0.0669606315099343, 0.5448439228390338, 1.7183168832466265, 3.3105808386073496, 4.919754604450716, 5.928969614264018, 5.63792820850264, 3.4402852015570717, -0.9912392435149069, -7.561219247754786, -15.717971316559732, -24.51197164458709, -32.74415742167465, -39.18132268890709, -42.813753511478055, -43.128004100371754, -40.165381600421654, -34.484809935499534, -27.04191249858643, -18.997821052900363, -11.483797071475625, -5.362216768094161, -1.0991515663309828, 1.2607873304888997, 2.035288871751405, 1.7767445337197214, 1.0734469792892776, 0.40090531501189264, 0.037265354925830614, 0.04538447499704337, 0.3133837677722137, 0.6421256039983101, 0.8453602495352327, 0.8219047601406638, 0.582198696848505, 0.2276979983749161, -0.10106433296655085, -0.28676333541160265, -0.2829437348160706, -0.12940776442263294, 0.07212544499103228, 0.20892958869006156, 0.21091082352875612, 0.08846840411884115, -0.06031675065050874, -0.08069635297609801, 0.17759171916940314, 0.7963609061190636, 1.742441408996004, 2.8556435734174404, 3.8849368188403215, 4.558852811913785, 4.666798669441224, 4.127837339519388, 3.0247406440886624, 1.587886108551972, 0.13140119512706103, -1.0344664937167027, -1.6917049088631184, -1.7793264584781923, -1.4082145824329755, -0.8041584903565591, -0.2275482700825533, 0.11540994693035025, 0.14847774378488038, -0.04094156977051525, -0.23674269333884143, -0.1730565594482381, 0.3680985663366277, 1.463489318160755, 2.990155487795374, 4.64522614840482, 6.023853852453104, 6.7300270690167014, 6.496416096731815, 5.292583213055872, 3.351654918968797, 1.1172538767620923, -0.8691317136311302, -2.1116374999416703, -2.295848265115449, -1.3819469679979381, 0.3759528529843708, 2.4907479572484537, 4.372671538658669, 5.496483488666686, 5.528668468684204, 4.404708080288469, 2.3449269658096257, -0.20419373485133455, -2.7151579846554865, -4.718515610191235, -5.897576984019178, -6.140668017674053, -5.550580472294027, -4.412020006444885, -3.070910468933822, -1.8312133924449767, -0.889851187137293, -0.31413674139608255, -0.05600704689609086, 0.00626513488211891, 0.0002391314284252619], 'positive_zeros': ['0.62031877100082228789894680633162', '0.989009460232569672358177642769405', '1.45571908535926902852269873139290', '1.81067540079271052228576889821936', '2.25703778911600787632433421834655', '2.46975049614380243423524933164119', '2.90885584951866486531698674037729', '3.19616275514473665401667350554266', '3.20351669578278578364384614032826', '3.48382147393427179616127341769729', '3.92917325756505295924134791007542', '4.11341002380124242175242076679789', '4.33516982401709700523998025001967', '4.45426399222189972236940654819952', '4.83713158263332715692091285771998', '5.08260335648645955696449783511137', '5.19883094514560799234661131306620', '5.31735459504638279298642685825862', '5.56390979334298150860786091297316', '6.02983365902527318815063093902064', '6.19824789833829410697511042837005', '6.25624254535781492607334806828592', '6.52136385484807824788455224298790', '6.60943714804173446178976861842382', '6.61733015120311192739497671982236', '6.82287342654208620961233411325221', '7.36810884835236390199126662757358', '7.38117201711609608836389274983979', '7.83117934323266389450833113356003', '7.938228224848120325542695626842420', '7.962402113983155982404201152036098', '8.352679768472228316664666784343386', '8.422462251088697546291467715765379', '8.461109531141068427812045706257901', '8.728878009293338940621933266106451', '9.179829265380621468720940348190671', '9.290956628623879541658869299028586', '9.336705745263963062400107322152628', '9.491760217990878031246632740305611', '9.837117562961723490156960122789524', '10.00783685752194775157529160632863', '10.10612790342822133165696143526527', '10.28426975541938442285083865592677', '10.48113946114586763958242639779115', '10.83648070452996643734124526880459', '10.94805070342518662444957674120250', '10.98115703628141182634453666236728', '11.22382625612168569055376572584724', '11.40872411642811798759546356689410', '11.58618034640729666365271014166232'], 'prelabel': '10-425e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.8421840532108669, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e5-0', 'trace_hash': 1720286801893538284, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.62031877100082228789894680633', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.989009460232569672358177642769', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.45571908535926902852269873139', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 450.1219434564895, 'bad_primes': [5, 17], 'central_character': '1.1', 'conductor': 13865791015625, 'conductor_radical': 85, 'degree': 10, 'dirichlet_coefficients': [1, 1, -1, 1, 0, -1, -1, 3, -4, 0, 4, -1, 3, -1, 0, 4, -5, -4, 6, 0, 1, 4, -4, -3, 0, 3, 7, -1, 2, 0, 21, 2, -4, -5, 0, -4, 2, 6, -3, 0, -8, 1, 4, 4, 0, -4, 2, -4, -12, 0, 5, 3, -21, 7, 0, -3, -6, 2, 12, 0, -2, 21, 4, 2, 0, -4, 12, -5, 4, 0, 21, -12, -22, 2, 0, 6, -4, -3, 41, 0, -8, -8, 8, 1, 0, 4, -2, 12, -10, 0, -3, -4, -21, 2, 0, -2, 20, -12, -16, 0], 'euler11': [1, -4, 33, -56, 328, -204, 3608, -6776, 43923, -58564, 161051], 'euler13': [1, -3, 39, -98, 853, -1761, 11089, -16562, 85683, -85683, 371293], 'euler17': [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], 'euler19': [1, -6, 63, -152, 1114, -1044, 21166, -54872, 432117, -781926, 2476099], 'euler2': [1, -1, 0, -2, 1, 3, 2, -8, 0, -16, 32], 'euler23': [1, 4, 69, 116, 1792, 996, 41216, 61364, 839523, 1119364, 6436343], 'euler29': [1, -2, 69, -184, 3142, -7068, 91118, -154744, 1682841, -1414562, 20511149], 'euler3': [1, 1, 5, 2, 23, 19, 69, 18, 135, 81, 243], 'euler31': [1, -21, 257, -2246, 16111, -96739, 499441, -2158406, 7656287, -19393941, 28629151], 'euler37': [1, -2, 105, -40, 5930, -1308, 219410, -54760, 5318565, -3748322, 69343957], 'euler41': [1, 8, 185, 1144, 14302, 66960, 586382, 1923064, 12750385, 22606088, 115856201], 'euler43': [1, -4, 79, -192, 4818, -16424, 207174, -355008, 6281053, -13675204, 147008443], 'euler47': [1, -2, 147, 104, 9154, 18132, 430238, 229736, 15261981, -9759362, 229345007], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 21, 419, 4902, 52981, 401643, 2807993, 13769718, 62379463, 165700101, 418195493], 'euler59': [1, -12, 179, -1560, 16294, -112296, 961346, -5430360, 36762841, -145408332, 714924299], 'euler61': [1, 2, 265, 408, 30258, 35692, 1845738, 1518168, 60149965, 27691682, 844596301], 'euler67': [1, -12, 159, -1808, 17386, -161544, 1164862, -8116112, 47821317, -241813452, 1350125107], 'euler7': [1, 1, 13, 26, 137, 169, 959, 1274, 4459, 2401, 16807], 'euler71': [1, -21, 337, -3474, 33841, -269733, 2402711, -17512434, 120616007, -533645301, 1804229351], 'euler73': [1, 22, 301, 2816, 25754, 218404, 1880042, 15006464, 117094117, 624761302, 2073071593], 'euler79': [1, -41, 919, -14404, 175265, -1721495, 13845935, -89895364, 453102841, -1596953321, 3077056399], 'euler83': [1, -8, 351, -2176, 53722, -256944, 4458926, -14990464, 200697237, -379666568, 3939040643], 'euler89': [1, 10, 201, 2336, 25582, 239388, 2276798, 18503456, 141698769, 627422410, 5584059449], 'euler97': [1, -20, 541, -6880, 104786, -950360, 10164242, -64733920, 493756093, -1770585620, 8587340257], 'euler_factors': [[1, -1, 0, -2, 1, 3, 2, -8, 0, -16, 32], [1, 1, 5, 2, 23, 19, 69, 18, 135, 81, 243], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 13, 26, 137, 169, 959, 1274, 4459, 2401, 16807], [1, -4, 33, -56, 328, -204, 3608, -6776, 43923, -58564, 161051], [1, -3, 39, -98, 853, -1761, 11089, -16562, 85683, -85683, 371293], [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], [1, -6, 63, -152, 1114, -1044, 21166, -54872, 432117, -781926, 2476099], [1, 4, 69, 116, 1792, 996, 41216, 61364, 839523, 1119364, 6436343], [1, -2, 69, -184, 3142, -7068, 91118, -154744, 1682841, -1414562, 20511149], [1, -21, 257, -2246, 16111, -96739, 499441, -2158406, 7656287, -19393941, 28629151], [1, -2, 105, -40, 5930, -1308, 219410, -54760, 5318565, -3748322, 69343957], [1, 8, 185, 1144, 14302, 66960, 586382, 1923064, 12750385, 22606088, 115856201], [1, -4, 79, -192, 4818, -16424, 207174, -355008, 6281053, -13675204, 147008443], [1, -2, 147, 104, 9154, 18132, 430238, 229736, 15261981, -9759362, 229345007], [1, 21, 419, 4902, 52981, 401643, 2807993, 13769718, 62379463, 165700101, 418195493], [1, -12, 179, -1560, 16294, -112296, 961346, -5430360, 36762841, -145408332, 714924299], [1, 2, 265, 408, 30258, 35692, 1845738, 1518168, 60149965, 27691682, 844596301], [1, -12, 159, -1808, 17386, -161544, 1164862, -8116112, 47821317, -241813452, 1350125107], [1, -21, 337, -3474, 33841, -269733, 2402711, -17512434, 120616007, -533645301, 1804229351], [1, 22, 301, 2816, 25754, 218404, 1880042, 15006464, 117094117, 624761302, 2073071593], [1, -41, 919, -14404, 175265, -1721495, 13845935, -89895364, 453102841, -1596953321, 3077056399], [1, -8, 351, -2176, 53722, -256944, 4458926, -14990464, 200697237, -379666568, 3939040643], [1, 10, 201, 2336, 25582, 239388, 2276798, 18503456, 141698769, 627422410, 5584059449], [1, -20, 541, -6880, 104786, -950360, 10164242, -64733920, 493756093, -1770585620, 8587340257]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/425/2/a/j'], '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': '10-425e5-1.1-c1e5-0-0', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '10-425e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.8421840532108669, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e5-0', 'trace_hash': 1720286801893538284, 'z1': {'__RealLiteral__': 0, 'data': '0.62031877100082228789894680633', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '786347462392029955591160821600,1253718435895214121890104169821,1845343172319366495167090336472,2295303758633369332229591838426,3130780698850658519620860183746', 'Lhash_array': ['786347462392029955591160821600', '1253718435895214121890104169821', '1845343172319366495167090336472', '2295303758633369332229591838426', '3130780698850658519620860183746'], 'factors': ['2-425-1.1-c1-0-0', '2-425-1.1-c1-0-3', '2-425-1.1-c1-0-9', '2-425-1.1-c1-0-14', '2-425-1.1-c1-0-21'], 'label': '10-425e5-1.1-c1e5-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/425/2/a/j'}