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lfunc_lfunctions • Show schema
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{'Lhash': '2541915775592664309010364437037', 'a10': [0.0, 0.0], 'a2': [1.7096252870150235, 0.0], 'a3': [1.3833607867665287, 0.0], 'a4': [0.9228186220012017, 0.0], 'a5': [0.0, 0.0], 'a6': [2.3650285821210555, 0.0], 'a7': [5.059374910236056, 0.0], 'a8': [-1.8415765225284342, 0.0], 'a9': [-1.0863129336366906, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.10986721782145, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [241, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [5, 241], 'central_character': '6025.1', 'coefficient_field': 'CDF', 'conductor': 6025, 'conductor_radical': 1205, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7096252870150235, 0], [2.0, 0]], [[1.0, 0], [-1.3833607867665287, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-5.059374910236056, 0], [7.0, 0]], [[1.0, 0], [5.2507429589063745, 0], [11.0, 0]], [[1.0, 0], [2.8446685064182824, 0], [13.0, 0]], [[1.0, 0], [6.168130936577835, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.10986721782145, 'bad_primes': [5, 241], 'central_character': '1.1', 'conductor': 6025, 'conductor_radical': 1205, 'degree': 2, 'index': 368, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6025/2/a/p/1/36'], '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': '2-6025-1.1-c1-0-368', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-6025-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936127681770388, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.00521797972959947293540476323', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2541915775592664309010364437037', 'Lhash_array': ['2541915775592664309010364437037'], 'label': '2-6025-1.1-c1-0-368', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6025/2/a/p/1/36'}