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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 138.93843041688865, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 252047376, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -2, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, -26, 0, 0, -28, 0, 0, -42, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 8, 0, 0, 62, 0, 0, 0, 0, 0, -282, 0, 0, -204, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52], 'euler11': [1, 0, 46, 0, -12525, 0, 673486, 0, 214358881], 'euler13': [1, 0, -670, 0, 169347, 0, -19135870, 0, 815730721], 'euler17': [1, 0, 554, 0, 223395, 0, 46270634, 0, 6975757441], 'euler19': [1, -102, 5057, -162078, 3646548, -58510158, 659033297, -4798679862, 16983563041], 'euler2': [1, 0, 2, 0, 4, 0, 0, 0, 0], 'euler23': [1, 0, -986, 0, 692355, 0, -275923226, 0, 78310985281], 'euler29': [1, 0, 1060, 0, 1695462, 0, 749717860, 0, 500246412961], 'euler3': [1, 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'euler73': [1, 282, 43793, 4874370, 411634116, 25975517730, 1243644168113, 42676251813498, 806460091894081], 'euler79': [1, 82, -7439, 137842, 119676004, 860271922, -289749652559, 19933171352722, 1517108809906561], 'euler83': [1, 0, -27508, 0, 284089158, 0, -1305483494068, 0, 2252292232139041], 'euler89': [1, 0, 12386, 0, 90670755, 0, 777125397026, 0, 3936588805702081], 'euler97': [1, 0, -34180, 0, 469126662, 0, -3025930824580, 0, 7837433594376961], 'euler_factors': [[1, 0, 2, 0, 4, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 26, 0, 51, 0, 16250, 0, 390625], [1, -14, 147, -686, 2401, 0, 0, 0, 0], [1, 0, 46, 0, -12525, 0, 673486, 0, 214358881], [1, 0, -670, 0, 169347, 0, -19135870, 0, 815730721], [1, 0, 554, 0, 223395, 0, 46270634, 0, 6975757441], [1, -102, 5057, -162078, 3646548, -58510158, 659033297, -4798679862, 16983563041], [1, 0, -986, 0, 692355, 0, -275923226, 0, 78310985281], [1, 0, 1060, 0, 1695462, 0, 749717860, 0, 500246412961], [1, 42, 2657, 86898, 3922308, 83508978, 2453795297, 37275154602, 852891037441], [1, -94, 3889, -207646, 10502164, -284267374, 7288612129, -241178282446, 3512479453921], [1, 0, 2684, 0, 7452486, 0, 7584342524, 0, 7984925229121], [1, -124, 13162, -806992, 42758995, -1492128208, 44998258762, -783849018076, 11688200277601], [1, 0, -2518, 0, 1460643, 0, -12287036758, 0, 23811286661761], [1, 0, 214, 0, -7844685, 0, 1688562934, 0, 62259690411361], [1, 0, 26, 0, -12116685, 0, 315051386, 0, 146830437604321], [1, 288, 42002, 4133952, 295069683, 15382435392, 581553013682, 14837867815968, 191707312997281], [1, -62, -6095, -59582, 61376884, -267463598, -122821082495, -5608419694478, 406067677556641], [1, 0, 13108, 0, 93778278, 0, 333096314548, 0, 645753531245761], [1, 282, 43793, 4874370, 411634116, 25975517730, 1243644168113, 42676251813498, 806460091894081], [1, 82, -7439, 137842, 119676004, 860271922, -289749652559, 19933171352722, 1517108809906561], [1, 0, -27508, 0, 284089158, 0, -1305483494068, 0, 2252292232139041], [1, 0, 12386, 0, 90670755, 0, 777125397026, 0, 3936588805702081], [1, 0, -34180, 0, 469126662, 0, -3025930824580, 0, 7837433594376961]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/126/3/n/b'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-126e4-1.1-c2e4-0-6', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-126e4-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.8529034866769887, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 241752093625627394, 'z1': {'__RealLiteral__': 0, 'data': '0.865737985357350770169734339365', 'prec': 107}}
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{'Lhash': '1097453276778623780467195606702,1776794249819369840338458146853,2192394597824945342990171748289,3502273758075954659172580606450', 'Lhash_array': ['1097453276778623780467195606702', '1776794249819369840338458146853', '2192394597824945342990171748289', '3502273758075954659172580606450'], 'label': '8-126e4-1.1-c2e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/126/3/n/b'}