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lfunc_lfunctions • Show schema
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{'Lhash': '1895336831406507662217507826564', 'a10': [-9.55512034977412, 4.601503440102531], 'a2': [-1.570843776275638, 1.9697757921139558], 'a3': [2.3464971024731374, 1.1300134476564716], 'a4': [-0.9674246338216267, -4.238564263037598], 'a5': [3.7925605229451183, 1.8264008881417768], 'a6': [-5.911853503425695, 2.8469985973581813], 'a7': [0.10794036288418957, -2.6435485390021554], 'a8': [5.3288241943686785, 2.5662264800954326], 'a9': [2.3586488544541635, 2.9576521139590923], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.086470608755563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-0.10794036288418957, 2.6435485390021554]]], [13, [[1.0, 0], [-0.6234898018587335, 0.7818314824680298]]]], 'bad_primes': [7, 13], 'central_character': '637.92', 'coefficient_field': 'CDF', 'conductor': 637, 'conductor_radical': 91, 'conjugate': '2059055202895321308048285038650', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.086470608755563, 'bad_primes': [7, 13], 'central_character': '49.43', 'conductor': 637, 'conductor_radical': 91, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/w/b/92/2'], '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': '2-637-49.43-c1-0-30', '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': '2-637-49.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': -0.3237448021467551, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.49515712852206187227883479240', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1895336831406507662217507826564', 'Lhash_array': ['1895336831406507662217507826564'], 'label': '2-637-49.43-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/w/b/92/2'}