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lfunc_lfunctions • Show schema
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{'Lhash': '1245583487530512254523705967169', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 17.15843766699344], 'a4': [0, 0], 'a5': [166.96438357105362, 0], 'a6': [0, 0], 'a7': [600.2714337833343, 0], 'a8': [0, 0], 'a9': [434.5880168279008, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 69.9364414204347, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [2663.9248656455375, -6320.5526111405325]]]], 'bad_primes': [2, 19], 'central_character': '304.113', 'coefficient_field': 'CDF', 'conductor': 304, 'conductor_radical': 38, 'conjugate': '1875592056931608117513494709063', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -17.15843766699344], [-729.0, 0]], [[1.0, 0], [-166.96438357105362, 0], [15625.0, 0]], [[1.0, 0], [-600.2714337833343, 0], [117649.0, 0]], [[1.0, 0], [821.1722561802017, 0], [1771561.0, 0]], [[1.0, 0], [0, -3128.2056757770033], [-4826809.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 69.9364414204347, 'bad_primes': [2, 19], 'central_character': '19.18', 'conductor': 304, 'conductor_radical': 38, 'degree': 2, 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/304/7/e/f/113/20'], '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': '2-304-19.18-c6-0-34', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-304-19.18-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.362801051109294, 'root_angle': -0.18651673474238234, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.982592117501664767587316841423', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1245583487530512254523705967169', 'Lhash_array': ['1245583487530512254523705967169'], 'label': '2-304-19.18-c6-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/304/7/e/f/113/20'}