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lfunc_lfunctions • Show schema
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{'Lhash': '1526299689927187643834010393652,1780876737441726357997553229968', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': -1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.44989667776086467, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 0, 1]], [7, [1, 0, 1]]], 'bad_primes': [2, 3, 7], 'central_character': '1344.1', 'coefficient_field': '1.1.1.1', 'conductor': 1806336, 'conductor_radical': 42, 'degree': 4, 'euler_factors': [[1], [1, 0, 1], [1, 0, -2, 0, 1], [1, 0, 1], [1, 0, -2, 0, 1], [1, -4, 6, -4, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 4, 6, 4, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 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0.5629735560711033, 0.03682318008139569, -0.309976922683791, -0.46249594543363365], 'positive_zeros': ['1.20403815503451087888988435017846', '1.40486403518532242249004867752772', '2.47495016111105270558228759483159', '3.28439258559214431625703184603969', '3.32011807519595132741865495141836', '3.80971667961244198549523359262581', '4.65190651024797205426139835890152', '4.79153249099958305568443874700383', '5.77339543976341204223818388541853', '5.82341410171504914367181872037496', '6.38460940670539142674041580351650', '6.42183063986854377059349482216918', '7.13977745847292536294915545201698', '7.67004482517405927059557654227586', '8.292130196846028609239823856448131', '8.402172298659248132592523459432400', '8.741660049457947189601230705676779', '9.102455760899311584670151755378371', '9.354954356029106958045375089874561', '10.11200839042751556043772798304420'], 'prelabel': '4-1344e2-1.1-c0e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.818989241064103, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c0e2-0', 'trace_hash': 1998989253191672390, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20403815503451087888988435018', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.40486403518532242249004867753', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.47495016111105270558228759483', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.44989667776086467, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 1806336, 'conductor_radical': 42, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -2, 0, 1], 'euler13': [1, -4, 6, -4, 1], 'euler17': [1, 0, 2, 0, 1], 'euler19': [1, 0, 2, 0, 1], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, 2, 0, 1], 'euler29': [1, 0, 2, 0, 1], 'euler3': [1, 0, 1, 0, 0], 'euler31': [1, 0, 2, 0, 1], 'euler37': [1, 0, -2, 0, 1], 'euler41': [1, 0, 2, 0, 1], 'euler43': [1, 0, 2, 0, 1], 'euler47': [1, 0, -2, 0, 1], 'euler5': [1, 0, -2, 0, 1], 'euler53': [1, 0, 2, 0, 1], 'euler59': [1, 0, 2, 0, 1], 'euler61': [1, 4, 6, 4, 1], 'euler67': [1, 0, 2, 0, 1], 'euler7': [1, 0, 1, 0, 0], 'euler71': [1, 0, 2, 0, 1], 'euler73': [1, 0, -2, 0, 1], 'euler79': [1, 0, 2, 0, 1], 'euler83': [1, 0, 2, 0, 1], 'euler89': [1, 0, 2, 0, 1], 'euler97': [1, 0, -2, 0, 1], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, -2, 0, 1], [1, 0, 1, 0, 0], [1, 0, -2, 0, 1], [1, -4, 6, -4, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 4, 6, 4, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1]], 'index': 5, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1344/1/e/c', 'ArtinRepresentation/2.1344.8t11.l'], 'is_instance_Artin': True, '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': '4-1344e2-1.1-c0e2-0-5', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0], 'order_of_vanishing': 0, 'prelabel': '4-1344e2-1.1-c0e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.818989241064103, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e2-0', 'trace_hash': 1998989253191672390, 'z1': {'__RealLiteral__': 0, 'data': '1.20403815503451087888988435018', 'prec': 103}}
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lfunc_instances • Show schema
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-
id: 24604517
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id: 19830238
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