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lfunc_lfunctions • Show schema
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{'Lhash': '1159038765023645617002884242169', 'a10': [-10980.133639058822, 0.0], 'a2': [7.8727434386943465, 0.0], 'a3': [-81.0, 0.0], 'a4': [-450.01991074849514, 0.0], 'a5': [-1394.7023327461336, 0.0], 'a6': [-637.6922185342421, 0.0], 'a7': [-8519.002300937325, 0.0], 'a8': [-7573.7359402385355, 0.0], 'a9': [6561.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 91.16134300100556, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [81.0, 0]]], [59, [[1.0, 0], [12117361.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '177.1', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [-7.8727434386943465, 0], [512.0, 0]], [[1.0, 0], [81.0, 0]], [[1.0, 0], [1394.7023327461336, 0], [1953125.0, 0]], [[1.0, 0], [8519.002300937325, 0], [40353607.0, 0]], [[1.0, 0], [32784.46699368552, 0], [2357947691.0, 0]], [[1.0, 0], [-173231.66910251946, 0], [10604499373.0, 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{'__RealLiteral__': 0, 'data': '3.70407688053437459868698706898', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 91.16134300100556, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/10/a/b/1/12'], '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': '2-177-1.1-c9-0-34', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-177-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.547844940142543, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.914320369362796677828234804212', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1159038765023645617002884242169', 'Lhash_array': ['1159038765023645617002884242169'], 'label': '2-177-1.1-c9-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/10/a/b/1/12'}