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lfunc_lfunctions • Show schema
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{'Lhash': '2222713641131377662494602709370', 'a10': [141.4159464194438, -1.2369714196375008], 'a2': [0.049478856785500035, 5.656637856777752], 'a3': [0.0, -10.745487266448878], 'a4': [-31.9951036854624, 0.5597679488058885], 'a5': [0.0, -25.0], 'a6': [60.78333006091801, -0.5316744255470384], 'a7': [198.7331729176185, 0.0], 'a8': [-4.749485723316438, -180.9570180605439], 'a9': [127.53450340658502, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.415352792519227, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.049478856785500035, -5.656637856777752]]], [5, [[1.0, 0], [0, 25.0]]]], 'bad_primes': [2, 5], 'central_character': '40.21', 'coefficient_field': 'CDF', 'conductor': 40, 'conductor_radical': 10, 'conjugate': '1497905901065884136114232369981', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.049478856785500035, -5.656637856777752]], [[1.0, 0], [0, 10.745487266448878], [-243.0, 0]], [[1.0, 0], [0, 25.0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.415352792519227, 'bad_primes': [2, 5], 'central_character': '8.5', 'conductor': 40, 'conductor_radical': 10, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/40/6/d/a/21/10'], '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': '2-40-8.5-c5-0-11', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-40-8.5-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.532854672601495, 'root_angle': -0.00417629907133707, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.75341189498998976147199956875', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2222713641131377662494602709370', 'Lhash_array': ['2222713641131377662494602709370'], 'label': '2-40-8.5-c5-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/40/6/d/a/21/10'}