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lfunc_lfunctions • Show schema
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{'Lhash': '905110417916135647859917525807', 'a10': [-795892828927730500000000000000000, 0], 'a2': [0, 4540003316.311585], 'a3': [5465299446166488.0, 1016688913269387.9], 'a4': [53175346182718010000, 0], 'a5': [0, 175306662457316030000000], 'a6': [-4615771037900242700000000, 24812477610231727000000000], 'a7': [-8191688983225779000000000000, 0], 'a8': [0, 576409365094726200000000000000], 'a9': [28835841689902834000000000000000, 11113018709229590000000000000000], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 82.76040853893946, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '33.0', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [-5465299446166488.0, -1016688913269387.9]]]], 'bad_primes': [3], 'central_character': '3.2', 'coefficient_field': 'CDF', 'conductor': 3, 'conductor_radical': 3, 'conjugate': '2380078895961328984133949262161', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -4540003316.311585], [-73786976294838210000, 0]], [[1.0, 0], [-5465299446166488.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 82.76040853893946, 'bad_primes': [3], 'central_character': '3.2', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3/67/b/b/2/12'], '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': '2-3-3.2-c66-0-9', 'motivic_weight': 66, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [66], 'order_of_vanishing': 0, 'prelabel': '2-3-3.2-c66-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.09727478638188, 'root_angle': -0.4707276134832904, 'self_dual': False, 'spectral_label': 'c66-0', 'z1': {'__RealLiteral__': 0, 'data': '0.71400622360229106883414514458', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '905110417916135647859917525807', 'Lhash_array': ['905110417916135647859917525807'], 'label': '2-3-3.2-c66-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/67/b/b/2/12'}