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lfunc_lfunctions • Show schema
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{'Lhash': '2770476341741627036280502646590', 'a10': [20.947093670034892, 6.509825759283364e-60], 'a2': [2.449489742783178, 1.4142135623730951], 'a3': [-1.679596330800508, 8.84188645966241], 'a4': [4.0, 6.928203230275509], 'a5': [6.413711385733613, -3.702957995057869], 'a6': [-16.618469732529718, 19.282802279466377], 'a7': [30.18822782723573, -52.2875443872369], 'a8': [0.0, 22.627416997969522], 'a9': [-75.35791233112295, -29.701600110007355], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8606593355091985, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.449489742783178, -1.4142135623730951]]], [3, [[1.0, 0], [1.679596330800508, -8.84188645966241]]]], 'bad_primes': [2, 3], 'central_character': '18.11', 'coefficient_field': 'CDF', 'conductor': 18, 'conductor_radical': 6, 'conjugate': '5048798447963886997325582096958', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.449489742783178, -1.4142135623730951]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8606593355091985, 'bad_primes': [2, 3], 'central_character': '9.2', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/18/5/d/a/11/3'], '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': '2-18-9.2-c4-0-1', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-18-9.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3640598724063393, 'root_angle': -0.1624683198609998, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.18552047483969715815150323590', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2770476341741627036280502646590', 'Lhash_array': ['2770476341741627036280502646590'], 'label': '2-18-9.2-c4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/5/d/a/11/3'}