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lfunc_lfunctions • Show schema
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{'Lhash': '1675776576820204456085677030808', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [76.94966881965432, 0.0], 'a4': [0.0, 0.0], 'a5': [338.44259553388264, 0.0], 'a6': [0.0, 0.0], 'a7': [438.99629009326185, 0.0], 'a8': [0.0, 0.0], 'a9': [3734.2515314544803, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 79.9705665239352, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '256.1', 'coefficient_field': 'CDF', 'conductor': 256, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-76.94966881965432, 0], [2187.0, 0]], [[1.0, 0], [-338.44259553388264, 0], [78125.0, 0]], [[1.0, 0], [-438.99629009326185, 0], [823543.0, 0]], [[1.0, 0], [-1966.5784285360592, 0], [19487171.0, 0]], [[1.0, 0], [-2210.979695510422, 0], [62748517.0, 0]], [[1.0, 0], [12114.879437196983, 0], [410338673.0, 0]], [[1.0, 0], [-32872.162735099446, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 79.9705665239352, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 256, 'conductor_radical': 2, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/256/8/a/r/1/6'], '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': '2-2e8-1.1-c7-0-37', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-2e8-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.9426263772974, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.32195462733855491622249957308', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1675776576820204456085677030808', 'Lhash_array': ['1675776576820204456085677030808'], 'label': '2-2e8-1.1-c7-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/256/8/a/r/1/6'}