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  • lfunc_lfunctions • Show schema
    {'Lhash': '1957426490801949810510637457503', 'a10': [123.7310765202477, 0.0], 'a2': [4.949243060809908, 0.0], 'a3': [5.840677139376161, 0.0], 'a4': [-7.504993125024973, 0.0], 'a5': [25.0, 0.0], 'a6': [28.906930802488528, 0.0], 'a7': [1.8940103454421993, 0.0], 'a8': [-195.51981309137298, 0.0], 'a9': [-208.8864905535687, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 97.0322109868533, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 7}, 'bad_lfactors': [[5, [[1.0, 0], [-25.0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '605.1', 'coefficient_field': 'CDF', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.949243060809908, 0], [32.0, 0]], [[1.0, 0], [-5.840677139376161, 0], [243.0, 0]], [[1.0, 0], [-25.0, 0]], [[1.0, 0], [-1.8940103454421993, 0], [16807.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-378.38815240881024, 0], [371293.0, 0]], [[1.0, 0], [-1083.2199352864427, 0], 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['1.54413723343761466597688320269749', '3.07890875540125723186082000059910', '3.50492391883348220076434058195909', '4.91787477665401634141213497502661', '5.63125433976170254018259590882046', '6.36092911472789402033372822131342', '7.80756798518145822835551972183363', '8.535415810784822465233732958859129', '9.515092245228959168498989211535476'], 'prelabel': '2-605-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.850492931161025, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.54413723343761466597688320270', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.07890875540125723186082000060', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.50492391883348220076434058196', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 97.0322109868533, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'index': 152, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/6/a/b/1/2'], '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': '2-605-1.1-c5-0-152', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-605-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.850492931161025, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.54413723343761466597688320270', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1957426490801949810510637457503', 'Lhash_array': ['1957426490801949810510637457503'], 'factors': ['2-605-1.1-c5-0-152'], 'label': '2-605-1.1-c5-0-152', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/605/6/a/b/1/2'}