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lfunc_lfunctions • Show schema
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{'Lhash': '1369860113806776422411371533610', 'a10': [0.0, 0.0], 'a2': [0.36534102436639504, 0.9308737486442042], 'a3': [0.011169173774871454, 0.14904226617617444], 'a4': [-0.7330518718298263, 0.6801727377709194], 'a5': [0.0, 0.0], 'a6': [-0.134658975633605, 0.06484834485976561], 'a7': [-0.9009688679024191, -0.4338837391175581], 'a8': [-0.9009688679024191, -0.4338837391175581], 'a9': [0.9667419795610122, -0.14571290823472977], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.6628846220931641, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.36534102436639504, -0.9308737486442042]]], [7, [[1.0, 0], [0.9009688679024191, 0.4338837391175581]]], [17, [[1.0, 0], [-0.9555728057861407, 0.2947551744109042]]]], 'bad_primes': [2, 7, 17], 'central_character': '3332.2515', 'coefficient_field': 'CDF', 'conductor': 3332, 'conductor_radical': 238, 'conjugate': '1212527581998857054287611191789', 'degree': 2, 'euler_factors': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6628846220931641, 'bad_primes': [2, 7, 17], 'central_character': '3332.2515', 'conductor': 3332, 'conductor_radical': 238, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3332/1/cc/b/2515/1'], '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': '2-3332-3332.2515-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3332-3332.2515-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2895288372476066, 'root_angle': -0.17006802721088438, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08062908940377190063004844794', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1369860113806776422411371533610', 'Lhash_array': ['1369860113806776422411371533610'], 'label': '2-3332-3332.2515-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3332/1/cc/b/2515/1'}