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'17.02781762442769073291185344768984', '17.51155180117663029412240145959438', '18.12779904782448996444243581821708', '18.52855858576108479790220107578621', '18.57519266735791446315068748717780', '18.64062128153949712611853776322355', '19.31859888442374478632059986411452', '19.91408288706256799828994702465821', '19.96227817988236175426714493794690', '20.04615591368134888172286197738619'], 'prelabel': '8-12e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.8414409783632407, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c3e4-0', 'trace_hash': 253884373257674553, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.75108982179113338574342640129', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.96721015998628628573876114770', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.99667685049821096552388374399', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 0.2512981361393306, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 20736, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -4, 0, 0, 0, 0, -6, 0, 0, 0, -40, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, -520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1252, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, -1768, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 1640, 0, 0, 0, 0, 0, 0, 0, -693, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3080, 0, 0, -1360], 'euler11': [1, 0, 2924, 0, 5680566, 0, 5180044364, 0, 3138428376721], 'euler13': [1, 40, 9388, 267640, 31607254, 588005080, 45314082892, 424179974920, 23298085122481], 'euler17': [1, 0, -17092, 0, 121309254, 0, -412559329348, 0, 582622237229761], 'euler19': [1, 0, -17716, 0, 172555926, 0, -833464827796, 0, 2213314919066161], 'euler2': [1, 0, 4, 0, 64, 0, 0, 0, 0], 'euler23': [1, 0, 29852, 0, 518857254, 0, 4419167358428, 0, 21914624432020321], 'euler29': [1, 0, 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'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': '8-12e4-1.1-c3e4-0-0', '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': '8-12e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.8414409783632407, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 253884373257674553, 'z1': {'__RealLiteral__': 0, 'data': '2.75108982179113338574342640129', 'prec': 103}}
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{'Lhash': '3487420663875302894608748176154,5029036340538145802313822302208,6334040408680555996434569190503,6490002453630543518090819077282', 'Lhash_array': ['3487420663875302894608748176154', '5029036340538145802313822302208', '6334040408680555996434569190503', '6490002453630543518090819077282'], 'label': '8-12e4-1.1-c3e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/12/4/b/a'}