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lfunc_lfunctions • Show schema
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{'Lhash': '1012081153394785343736948494599', 'a10': [0.0, 13.120680162712908], 'a2': [1.1735493101943626, 0.0], 'a3': [0.0, 9.10377803908199], 'a4': [-14.622782016542336, 0.0], 'a5': [0.0, 11.180339887498949], 'a6': [0.0, 10.683732437927256], 'a7': [-40.50022300328242, 27.58136937652649], 'a8': [-35.93734471174559, 0.0], 'a9': [-1.8787745848715058, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6179487079345525, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, -11.180339887498949]]], [7, [[1.0, 0], [40.50022300328242, -27.58136937652649]]]], 'bad_primes': [5, 7], 'central_character': '35.6', 'coefficient_field': 'CDF', 'conductor': 35, 'conductor_radical': 35, 'conjugate': '4457047763357885398670890147404', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.1735493101943626, 0], [16.0, 0]], [[1.0, 0], [0, -9.10377803908199], [-81.0, 0]], [[1.0, 0], [0, -11.180339887498949]], [[1.0, 0], [40.50022300328242, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6179487079345525, 'bad_primes': [5, 7], 'central_character': '7.6', 'conductor': 35, 'conductor_radical': 35, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/35/5/d/a/6/8'], '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': '2-35-7.6-c4-0-2', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-35-7.6-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9020906150692591, 'root_angle': -0.345154324042336, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.798391254824136071476031379032', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1012081153394785343736948494599', 'Lhash_array': ['1012081153394785343736948494599'], 'label': '2-35-7.6-c4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/35/5/d/a/6/8'}