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lfunc_lfunctions • Show schema
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{'Lhash': '6873871350590285866031061887842', 'a10': [54.55323927589171, -1.5658801093274715e-60], 'a2': [-0.9763130057422318, -3.0047824649029553], 'a3': [1.2470036383167868, 0.906001175814561], 'a4': [-1.6033946212072705, 1.1649343814821282], 'a5': [-5.335758891981433, 16.421777300187728], 'a6': [1.5048705759724914, -4.631515397249978], 'a7': [7.738073094932651, -5.622039188282635], 'a8': [-15.382375637272006, -11.175950082231678], 'a9': [-7.609278904725644, -23.41895241484906], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.649021010063147, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [8.015369175880569, -35.59148573710212]]]], 'bad_primes': [11], 'central_character': '11.5', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '3995338423985034082924591118209', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9763130057422318, 3.0047824649029553], [-6.47213595499958, 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'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '5.42252837599943190984788832279', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '7.957665078121613920800379562655', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '8.697114451620767620632905733113', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.649021010063147, 'bad_primes': [11], 'central_character': '11.5', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/4/c/a/5/1'], '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': '2-11-11.5-c3-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-11-11.5-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.805618402261981, 'root_angle': 0.14253716227972688, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '5.42252837599943190984788832279', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '6873871350590285866031061887842', 'Lhash_array': ['6873871350590285866031061887842'], 'factors': ['2-11-11.5-c3-0-1'], 'label': '2-11-11.5-c3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/4/c/a/5/1'}