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lfunc_lfunctions • Show schema
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{'Lhash': '743967471708299491044124448959', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.114907541476756, 0.0], 'a4': [0.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [4.756981173958256, 0.0], 'a8': [0.0, 0.0], 'a9': [6.7026489919487675, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 74.10117307574824, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [29, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 29], 'central_character': '9280.1', 'coefficient_field': 'CDF', 'conductor': 9280, 'conductor_radical': 290, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.114907541476756, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-4.756981173958256, 0], [7.0, 0]], [[1.0, 0], [2.945667817990511, 0], [11.0, 0]], [[1.0, 0], [-0.8850924585232443, 0], [13.0, 0]], [[1.0, 0], [1.4728339089952556, 0], [17.0, 0]], [[1.0, 0], [2.2298150829535115, 0], [19.0, 0]], [[1.0, 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'5.01940514423501809278177650958469', '5.60962049609555931208141297852351', '6.09215895397005197770957426039987', '7.04071241343415322134589618699007', '7.47691752314120918968216348500125'], 'prelabel': '2-9280-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.60820382401278, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.58688685318679662660595777148', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.66887203458437798608674962233', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.15438189738726794609489594648', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 74.10117307574824, 'bad_primes': [2, 5, 29], 'central_character': '1.1', 'conductor': 9280, 'conductor_radical': 290, 'degree': 2, 'index': 48, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9280/2/a/bg/1/1'], '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': '2-9280-1.1-c1-0-48', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-9280-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.60820382401278, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.58688685318679662660595777148', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '743967471708299491044124448959', 'Lhash_array': ['743967471708299491044124448959'], 'factors': ['2-9280-1.1-c1-0-48'], 'label': '2-9280-1.1-c1-0-48', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9280/2/a/bg/1/1'}