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lfunc_lfunctions • Show schema
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{'Lhash': '1576383755013920293557711713300', 'a10': [-1.4943163858765112, 6.547027860793026], 'a2': [1.622594745285045, 2.0346694546873643], 'a3': [-0.09776207295273637, -0.4283236277135614], 'a4': [-1.0620242144985066, 4.653032106771764], 'a5': [1.6088676825885229, 2.0174562625133157], 'a6': [0.7128687761683823, -0.8939091712733032], 'a7': [-0.016718240199067383, -0.07324739620152258], 'a8': [-6.501182525955021, 3.1308044967349553], 'a9': [2.529002896557568, -1.2179036058728465], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.715418809989684, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [0, 0]]]], 'bad_primes': [29], 'central_character': '841.778', 'coefficient_field': 'CDF', 'conductor': 841, 'conductor_radical': 29, 'conjugate': '2786324651130724595746523489296', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.622594745285045, -2.0346694546873643], [-0.4450418679126288, 1.9498558243636472]], [[1.0, 0], 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50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.24354751595597887009114867788', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.03285672921803329222279713706', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.45896244649481795146075173314', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.715418809989684, 'bad_primes': [29], 'central_character': '29.24', 'conductor': 841, 'conductor_radical': 29, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/841/2/d/l/778/4'], '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': '2-29e2-29.24-c1-0-23', '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': '2-29e2-29.24-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.591412512509285, 'root_angle': -0.41879012935376486, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24354751595597887009114867788', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1576383755013920293557711713300', 'Lhash_array': ['1576383755013920293557711713300'], 'label': '2-29e2-29.24-c1-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/841/2/d/l/778/4'}