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lfunc_lfunctions • Show schema
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{'Lhash': '2843186893285979086493067708730', 'a10': [4.5074502563799944e-61, 0.9804939331364336], 'a2': [-0.5877852522924731, -0.8090169943749475], 'a3': [0.5827329743426052, -1.6310800963207848], 'a4': [-0.30901699437494745, 0.9510565162951535], 'a5': [-0.7932362547889081, -0.576319873859838], 'a6': [-1.6620933654533525, 0.48728394649931606], 'a7': [0.4419113203471877, -2.608584747511379], 'a8': [0.9510565162951535, -0.30901699437494745], 'a9': [-2.3208445612276414, -1.9009683118400678], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6890885733831555, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5877852522924731, 0.8090169943749475]]], [3, [[1.0, 0], [-0.5827329743426052, 1.6310800963207848]]], [7, [[1.0, 0], [-0.4419113203471877, 2.608584747511379]]], [11, [[1.0, 0], [-2.9902425862101354, 1.4347296872983848]]]], 'bad_primes': [2, 3, 7, 11], 'central_character': '462.377', 'coefficient_field': 'CDF', 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[25.648410533120636, 78.93769085249775]], [[1.0, 0], [-16.756159142291274, 0], [89.0, 0]], [[1.0, 0], [-5.458119149397531, -7.512456517008261], [-29.974648454369902, 92.2524820806299]], [[1.0, 0], [-12.324192168439291, 8.954049733681753], [31.210716431869688, -96.05670814581052]], [[1.0, 0], [14.407082553876775, 4.681144887008046], [83.32875042061958, 60.54188098612473]], [[1.0, 0], [-3.969323772152507, 1.2897114742978464], [86.56481839811937, -62.893021995294625]], [[1.0, 0], [4.923858182305415, 0], [109.0, 0]], [[1.0, 0], [6.429661719153424, -2.089123732667677], [91.41892036436906, -66.41973350904946]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 29, 'label': '2-462-231.146-c1-0-29', '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/462/2/s/a/377/11', 'plot_delta': {'__RealLiteral__': 0, 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'data': '0.463904063483', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.24287898635009375439009254844', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.76966079619404177191993228468', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.75838769652669996505144667194', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6890885733831555, 'bad_primes': [2, 3, 7, 11], 'central_character': '231.146', 'conductor': 462, 'conductor_radical': 462, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/462/2/s/a/377/11'], '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': '2-462-231.146-c1-0-29', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-462-231.146-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9207000217064496, 'root_angle': 0.4639040634834148, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.24287898635009375439009254844', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2843186893285979086493067708730', 'Lhash_array': ['2843186893285979086493067708730'], 'label': '2-462-231.146-c1-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/462/2/s/a/377/11'}