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lfunc_lfunctions • Show schema
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{'Lhash': '2088165905068206973526148795861', 'a10': [38558479422881496000000000000000, 0], 'a2': [4294967296.0, 0], 'a3': [5691887292714580.0, 0], 'a4': [18446744073709552000, 0], 'a5': [8977595582343986000000, 0], 'a6': [24446469774727100000000000, 0], 'a7': [5306366777965476000000000000, 0], 'a8': [79228162514264340000000000000, 0], 'a9': [22096529492088177000000000000000, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 53.514471294473964, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '32.5', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [-4294967296.0, 0]]]], 'bad_primes': [2], 'central_character': '2.1', 'coefficient_field': 'CDF', 'conductor': 2, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[[1.0, 0], [-4294967296.0, 0]], [[1.0, 0], [-5691887292714580.0, 0], [10301051460877538000000000000000, 0]], [[1.0, 0], [-8977595582343986000000, 0], [2710505431213761000000000000000000000000000000, 0]], [[1.0, 0], [-5306366777965476000000000000, 0], 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'3.86007448495643775061002508817', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 53.514471294473964, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 2, 'conductor_radical': 2, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2/66/a/b/1/3'], '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': '2-2-1.1-c65-0-4', 'motivic_weight': 65, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [65], 'order_of_vanishing': 0, 'prelabel': '2-2-1.1-c65-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.315358589602697, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c65-0', 'z1': {'__RealLiteral__': 0, 'data': '1.64727244612375915654148940377', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2088165905068206973526148795861', 'Lhash_array': ['2088165905068206973526148795861'], 'label': '2-2-1.1-c65-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2/66/a/b/1/3'}