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lfunc_lfunctions • Show schema
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{'Lhash': '1105348850108110835284280884064', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, -8.78834847427381], 'a6': [0, 0], 'a7': [-4.3130753782361415, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 79.45524508746259, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '2916.1457', 'coefficient_field': 'CDF', 'conductor': 2916, 'conductor_radical': 6, 'conjugate': '609222754713444696620618407622', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 8.78834847427381], [-25.0, 0]], [[1.0, 0], [4.3130753782361415, 0], [49.0, 0]], [[1.0, 0], [0, -19.696363276675402], [-121.0, 0]], [[1.0, 0], [7.57483865791163, 0], [169.0, 0]], [[1.0, 0], [0, -3.654859291180698], [-289.0, 0]], [[1.0, 0], [-33.66663760756487, 0], [361.0, 0]], [[1.0, 0], [0, 3.0736638936335057], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 79.45524508746259, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 2916, 'conductor_radical': 6, 'degree': 2, 'index': 43, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2916/3/c/b/1457/2'], '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': '2-54e2-3.2-c2-0-43', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-54e2-3.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.91376716587676, 'root_angle': 0.25, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.871966494481288806334835467515', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1105348850108110835284280884064', 'Lhash_array': ['1105348850108110835284280884064'], 'label': '2-54e2-3.2-c2-0-43', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2916/3/c/b/1457/2'}