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lfunc_lfunctions • Show schema
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{'Lhash': '128928149824298235356362562929', 'a10': [-2.582015976969902, 1.4907276193554875], 'a2': [-1.6775607555402405, -2.9056204613793297], 'a3': [-2.9910938119966284, 0.23099309044964422], 'a4': [-3.628420177057486, 6.284608097871628], 'a5': [0.0, -0.8886280955442443], 'a6': [5.688919845192535, 8.303478438703221], 'a7': [-3.293347041490656, 6.1768815161297], 'a8': [10.927095130246116, 0.0], 'a9': [8.893284384329045, -1.3818440069158167], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7166256654698706, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [2.9910938119966284, -0.23099309044964422]]], [7, [[1.0, 0], [3.293347041490656, -6.1768815161297]]]], 'bad_primes': [3, 7], 'central_character': '63.61', 'coefficient_field': 'CDF', 'conductor': 63, 'conductor_radical': 21, 'conjugate': '2952697646613780731793279091563', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.6775607555402405, 2.9056204613793297], [-2.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7166256654698706, 'bad_primes': [3, 7], 'central_character': '63.61', 'conductor': 63, 'conductor_radical': 21, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/63/3/k/a/61/2'], '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': '2-63-63.61-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-63-63.61-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3102006203134964, 'root_angle': -0.23195673898782745, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.10170637697886614009418515691', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '128928149824298235356362562929', 'Lhash_array': ['128928149824298235356362562929'], 'label': '2-63-63.61-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/63/3/k/a/61/2'}