{'Lhash': '631101430830371872612996169290', 'a10': [0, 0], 'a2': [0, 0], 'a3': [1.6213341855557772, -0.6093237716913599], 'a4': [0, 0], 'a5': [-1.4411683763927117, 0], 'a6': [0, 0], 'a7': [0, 3.467910703359484], 'a8': [0, 0], 'a9': [2.2574490825036313, -1.9758349222299705], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.930660344511594, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-1.6213341855557772, 0.6093237716913599]]], [13, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 3, 13], 'central_character': '2496.287', 'coefficient_field': 'CDF', 'conductor': 2496, 'conductor_radical': 78, 'conjugate': '1970975388953807230753895864539', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.6213341855557772, 0.6093237716913599]], [[1.0, 0], [1.4411683763927117, 0], [5.0, 0]], [[1.0, 0], [0, -3.467910703359484], [-7.0, 0]], [[1.0, 0], [0, -6.0086471647160655], [-11.0, 0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [0, 4.923016247832274], [-17.0, 0]], [[1.0, 0], [-1.7367488137159353, 0], [19.0, 0]], [[1.0, 0], [4.37558039841614, 0], [23.0, 0]], [[1.0, 0], [-0.6079382215258482, 0], [29.0, 0]], [[1.0, 0], [0, -8.837459051655696], [-31.0, 0]], [[1.0, 0], [0, -3.8850248568494594], [-37.0, 0]], [[1.0, 0], [0, -7.614449627768547], [-41.0, 0]], [[1.0, 0], [-8.296831710635864, 0], [43.0, 0]], [[1.0, 0], [13.200806847229842, 0], [47.0, 0]], [[1.0, 0], [1.6868489077016684, 0], [53.0, 0]], [[1.0, 0], [0, -11.383056162726733], [-59.0, 0]], [[1.0, 0], [0, -6.643926344733697], [-61.0, 0]], [[1.0, 0], [5.839560500567977, 0], [67.0, 0]], [[1.0, 0], [-5.389102762453735, 0], [71.0, 0]], [[1.0, 0], [4.768567506249245, 0], [73.0, 0]], [[1.0, 0], [0, 0.23072209754885012], [-79.0, 0]], [[1.0, 0], [0, 12.015216034728098], [-83.0, 0]], [[1.0, 0], [0, 0.47174547186729376], [-89.0, 0]], [[1.0, 0], [12.211697614638293, 0], [97.0, 0]], [[1.0, 0], [-17.568819413453905, 0], [101.0, 0]], [[1.0, 0], [0, -11.910210916211703], [-103.0, 0]], [[1.0, 0], [0, -8.266747870766368], [-107.0, 0]], [[1.0, 0], [0, 1.8329629662374296], [-109.0, 0]], [[1.0, 0], [0, 1.5837122102096752], [-113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23424626, 'index': 23, 'label': '2-2496-24.11-c1-0-23', 'leading_term': '1.731106529767553025775277281849677166354469743403983433', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2496/2/j/f/287/29', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [1.731106529767553, 1.5824774724635742, 1.4273186203015125, 1.2656310163784035, 1.097397909737773, 0.9226357216664213, 0.7414453154757138, 0.5540609371282983, 0.36089449955414515, 0.16257329844510363, -0.04003029400298842, -0.24577816376030687, -0.4532554258985375, -0.6607693072920389, -0.866357951205483, -1.0678089450125683, -1.2626872038820145, -1.4483716984767485, -1.622100379089636, -1.7810225118282836, -1.9222574987023964, -2.0429591013179844, -2.1403838295263746, -2.2119620967757205, -2.255370589974872, -2.2686041615011465, -2.2500454332091246, -2.198530215578669, -2.1134067976817867, -1.9945871628210292, -1.8425882366995154, -1.6585613845654716, -1.4443085439572378, -1.2022836115506195, -0.9355779951672942, -0.6478895920016545, -0.3434748560331787, -0.027084063590698107, 0.29611963391468543, 0.6206562790732811, 0.9408386983519033, 1.2508935091637623, 1.545090961976815, 1.8178805979813943, 2.0640293240962824, 2.278758203810093, 2.45787405032277, 2.597891801735462, 2.6961436683419047, 2.750871178141034, 2.7612965137399157, 2.7276699330732748, 2.651290594685274, 2.534498757933582, 2.3806380868906416, 2.1939876367655557, 1.979664021741052, 1.7434952275659183, 1.4918685119670039, 1.231555799160147, 0.9695208878903395, 0.7127136212500671, 0.46785687719867286, 0.2412327991207884, 0.03847506678038119, -0.13562581524602663, -0.2772972815816806, -0.38393287606978055, -0.4542077070361881, -0.48815583192152323, -0.48720520800639944, -0.45416704584818024, -0.39317778006817466, -0.3095933908017166, -0.20983742348460832, -0.10120571338739824, 0.008367531764384201, 0.11057606194268345, 0.19703265436329734, 0.25957599577537893, 0.2905834446120173, 0.28327903137219523, 0.2320256869027273, 0.13259069217983546, -0.017626259485311536, -0.2194121987558442, -0.47161583410671193, -0.7710853785701306, -1.1126744066315668, -1.4893187176974114, -1.8921847843700288, -2.310887825332393, -2.7337749506039666, -3.1482662746672005, -3.5412444773980964, -3.8994811107740626, -4.210086094129158, -4.460965397854074, -4.641270959150403, -4.7418264631754985, -4.755512800143891, -4.677597794654835, -4.5059961962451895, -4.241447894947261, -3.8876048337332203, -3.4510200593845206, -2.9410356914139917, -2.3695701833455614, -1.7508089748840268, -1.1008063493818885, -0.43700987475543607, 0.22227792654696737, 0.858483200542196, 1.4533699299310723, 1.98965330329401, 2.451595106272853, 2.8255589445058833, 3.100503951649127, 3.268397332434924, 3.3245286042068636, 3.267711660130634, 3.1003646797453697, 2.8284623240457716, 2.461359413438099, 2.0114902180330976, 1.4939523976008546, 0.9259893138512488, 0.3263887033189264, -0.28518064174962215, -0.8888696525646838, -1.4653607226733514, -1.9965629620094751, -2.4662636702954197, -2.8607100006124413, -3.1690971471092473, -3.383942781958792, -3.501331771406557, -3.5210202621430517, -3.4463938531159335, -3.2842805300352933, -3.0446250946544846, -2.74003771155306, -2.385234664311877, -1.996394214245081, -1.5904543639549455, -1.184382153395578, -0.794445708704596, -0.43552052496656807, -0.1204603508450074, 0.14043942676796944, 0.33986174759769977, 0.47375192924067244, 0.5414523757119325, 0.5456810536391193, 0.4923538119482853, 0.3902577061767028, 0.25058937389504654, 0.08637887418307208, -0.0881750517191783, -0.2584278929169445, -0.4100369256642184, -0.5296982618908221, -0.6058382214073769, -0.6292254889400021, -0.5934737512942928, -0.49540923286355193, -0.33528357002991444, -0.11681953112179816, 0.15291511318203826, 0.4638020882194349, 0.8031238296503495, 1.156151983723612, 1.5068467633994742, 1.8386348616258585, 2.135229195034421, 2.3814510111808445, 2.5640140120956008, 2.672231212330979, 2.6986082543909524, 2.6392917471591293, 2.4943476799988957, 2.2678528173708026, 1.9677908427006057, 1.6057544836094173, 1.1964644611350002, 0.7571253920141773, 0.3066472682019618, -0.13523159842409235, -0.5488786358889673, -0.9157128446885585, -1.2191156414636097, -1.4452607221965141, -1.5838200397834679, -1.628508294463282, -1.5774356433976848, -1.4332473284989402, -1.2030391872244526, -0.8980490626802864, -0.5331354281292932, -0.12606552188117667, 0.3033546116173759, 0.7342670925383629, 1.1458183081257327, 1.5182317465360087, 1.8338432034359786, 2.078044766476733, 2.2400874937893938, 2.3136988463224766, 2.2974794579528095, 2.1950543514614527, 2.014965740380771, 1.7703075146930496, 1.4781147490268838, 1.1585344219820972, 0.8338153252040645, 0.5271652403229939, 0.26153131282685, 0.05836469950058028, -0.06356731525588664, -0.08925962519715411, -0.008380226183067154, 0.18403667450583167, 0.4871556748759851, 0.8941912262491235, 1.392558521999854, 1.9643229464768013, 2.58693148224113, 3.2341947117884944, 3.877474625388054, 4.487022083657296, 5.033399112751376, 5.488915733715184, 5.829009089870553, 6.0334944019226135, 6.087622722747738, 5.982889361224441, 5.717548789176814, 5.296806261257653, 4.73267254712878, 4.043485275890736, 3.253117538229935, 2.3899106788892994, 1.4853827685186423, 0.5727762758385061, -0.3144827029748316, -1.1443361711370912, -1.8875783236784678, -2.5191964436368792, -3.0195000883770646, -3.374980787651803, -3.5788583612082636, -3.631286286725275, -3.5392064528299594, -3.315862164093601, -2.9799964263260423, -2.5547793404025034, -2.0665229433982124], 'positive_zeros': ['0.49785124601112292354177849591877', '1.88319127156037292281114613985356', '3.26049603804026463289515415108194', '3.85542487619797849437142140852442', '4.26046301759087903325979349209977', '5.61947010419729629158969213581768', '6.47633865759679968432602577692264', '7.53767859717748972624087411825961', '7.997896493828002793708259049033540', '8.503556250021370073286619145258745'], 'prelabel': '2-2496-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.464376814798634, 'root_angle': -0.2655473255367976, 'root_number': '-0.0975314356904112679338748125346276166021279831356477487 - 0.9952324447344786855543631927771828973731062867522645179*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.2655473255367976', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49785124601112292354177849592', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.88319127156037292281114613985', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.26049603804026463289515415108', 'prec': 103}}