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lfunc_lfunctions • Show schema
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{'Lhash': '756890110362334250504518089977', 'a10': [-54.88845287334031, 0.0], 'a2': [0.0, 12.172300353164974], 'a3': [-18.44821103549534, 19.71455070727781], 'a4': [-84.16489588766017, 0.0], 'a5': [0.0, 4.509291693502167], 'a6': [-239.97143253668648, -224.55716570262192], 'a7': [129.64181424216494, 0.0], 'a8': [0.0, -245.45316933490082], 'a9': [-48.32701917965589, -727.3963838356699], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.831135756016872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [18.44821103549534, -19.71455070727781]]], [7, [[1.0, 0], [-129.64181424216494, 0]]]], 'bad_primes': [3, 7], 'central_character': '21.8', 'coefficient_field': 'CDF', 'conductor': 21, 'conductor_radical': 21, 'conjugate': '5832437750515786267934445623789', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -12.172300353164974], [-64.0, 0]], [[1.0, 0], [18.44821103549534, -19.71455070727781]], [[1.0, 0], [0, -4.509291693502167], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.831135756016872, 'bad_primes': [3, 7], 'central_character': '3.2', 'conductor': 21, 'conductor_radical': 21, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/21/7/b/a/8/11'], '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': '2-21-3.2-c6-0-1', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-21-3.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979844758361855, 'root_angle': 0.3697207621882633, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59708101761326252455495282298', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '756890110362334250504518089977', 'Lhash_array': ['756890110362334250504518089977'], 'label': '2-21-3.2-c6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/21/7/b/a/8/11'}