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lfunc_lfunctions • Show schema
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{'Lhash': '5038476265362544127823713133437', 'a10': [-461289358131.32263, -394799788930.17053], 'a2': [0.0, -5561.0252160585205], 'a3': [0.0, -421877.2827181258], 'a4': [-22536393.45363871, 0.0], 'a5': [70994065.58886136, -82950416.55255611], 'a6': [-2346070207.277747, 0.0], 'a7': [0.0, 717617414.4458338], 'a8': [0.0, 78676191659.0708], 'a9': [-83837262846.62946, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 16.76020186725519, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '11.5', 'prec': 14}, 'bad_lfactors': [[5, [[1.0, 0], [-70994065.58886136, 82950416.55255611]]]], 'bad_primes': [5], 'central_character': '5.4', 'coefficient_field': 'CDF', 'conductor': 5, 'conductor_radical': 5, 'conjugate': '709222974487980040566835764875', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 5561.0252160585205], [-8388608.0, 0]], [[1.0, 0], [0, 421877.2827181258], [-94143178827.0, 0]], [[1.0, 0], [-70994065.58886136, 82950416.55255611]], [[1.0, 0], [0, -717617414.4458338], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.92246526481113955313839795785', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 16.76020186725519, 'bad_primes': [5], 'central_character': '5.4', 'conductor': 5, 'conductor_radical': 5, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5/24/b/a/4/1'], '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': '2-5-5.4-c23-0-9', 'motivic_weight': 23, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [23], 'order_of_vanishing': 0, 'prelabel': '2-5-5.4-c23-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.093922552669406, 'root_angle': -0.13733626518418568, 'self_dual': False, 'spectral_label': 'c23-0', 'z1': {'__RealLiteral__': 0, 'data': '3.97465694762847944970936948394', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5038476265362544127823713133437', 'Lhash_array': ['5038476265362544127823713133437'], 'label': '2-5-5.4-c23-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5/24/b/a/4/1'}