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lfunc_lfunctions • Show schema
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{'Lhash': '2982218898430169870488935482637', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.4580474395129304, -4.487408601009476], 'a4': [0.0, 0.0], 'a5': [3.016217392214673, -2.1914102091533856], 'a6': [0.0, 0.0], 'a7': [-2.5162590248844245, 0.8175821180087564], 'a8': [0.0, 0.0], 'a9': [-10.72978066716909, -7.795641970868077], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.392392142297146, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.5162590248844245, -0.8175821180087564]]], [11, [[1.0, 0], [5.499329767457603, 9.526666369132212]]]], 'bad_primes': [2, 7, 11], 'central_character': '308.29', 'coefficient_field': 'CDF', 'conductor': 308, 'conductor_radical': 154, 'conjugate': '1068785574417943579239557393807', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.4580474395129304, 4.487408601009476], [-7.281152949374527, -5.2900672706322585]], [[1.0, 0], [-3.016217392214673, 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'data': '4.59358705043631535498988003844', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.392392142297146, 'bad_primes': [2, 7, 11], 'central_character': '11.7', 'conductor': 308, 'conductor_radical': 154, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/308/3/r/a/29/11'], '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': '2-308-11.7-c2-0-10', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-308-11.7-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.89696257178051, 'root_angle': 0.377744471004169, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.35255589978283246621266265526', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2982218898430169870488935482637', 'Lhash_array': ['2982218898430169870488935482637'], 'label': '2-308-11.7-c2-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/308/3/r/a/29/11'}