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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9885.783650602447, 'bad_primes': [13], 'central_character': '1.1', 'conductor': 815730721, 'conductor_radical': 13, 'degree': 8, 'dirichlet_coefficients': [1, 0, -4, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 64, -26, 0, 0, 0, 0, 0, 156, 0, -78, 0, -416, 0, -394, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, -256, -286, 0, 104, 0, 372, 0, 0, 0, 0, 0, 0, 0, -290, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 312, 0, 0, 0, -304, 0, 1961, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 1638, 0, 911483, 0, 2901816918, 0, 3138428376721], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 26, -9319, 4394, 72441268, 21587722, -224938005511, 3083284788922, 582622237229761], 'euler19': [1, 0, 12818, 0, 117255243, 0, 603034102658, 0, 2213314919066161], 'euler2': [1, 0, 0, 0, -64, 0, 0, 0, 4096], 'euler23': [1, -156, -6082, -949104, 481122723, -11547748368, -900354276898, -280979815188228, 21914624432020321], 'euler29': 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['ModularForm/GL2/Q/holomorphic/169/4/e/c'], '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': '8-13e8-1.1-c3e4-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-13e8-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.1577401398737943, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 596821664052612825, 'z1': {'__RealLiteral__': 0, 'data': '0.11977577245846564232444661477', 'prec': 103}}
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{'Lhash': '151833829849773799433971066915,1739650724679860903041645124525,2345687795547325627872334538120,2941726053501994011133625822210', 'Lhash_array': ['151833829849773799433971066915', '1739650724679860903041645124525', '2345687795547325627872334538120', '2941726053501994011133625822210'], 'label': '8-13e8-1.1-c3e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/169/4/e/c'}