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lfunc_lfunctions • Show schema
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{'Lhash': '2484238553514482093267857096670', 'a10': [1.6428852533063596, -2.84556072973228], 'a2': [1.392728480640038, -0.2455756079379457], 'a3': [0.0, 0.0], 'a4': [1.8793852415718169, -0.6840402866513374], 'a5': [1.4934466944158196, -1.7798204634180002], 'a6': [0.0, 0.0], 'a7': [5.910543146088029, 2.151261773522157], 'a8': [2.449489742783178, -1.4142135623730951], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.41418028263681, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.392728480640038, 0.2455756079379457]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '162.71', 'coefficient_field': 'CDF', 'conductor': 162, 'conductor_radical': 6, 'conjugate': '2137083807132982171183651538551', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.392728480640038, 0.2455756079379457]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.4934466944158196, 1.7798204634180002], [-4.341204441673259, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.41418028263681, 'bad_primes': [2, 3], 'central_character': '27.14', 'conductor': 162, 'conductor_radical': 6, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/162/3/f/a/71/5'], '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': '2-162-27.14-c2-0-3', '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': '2-162-27.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.100995069636483, 'root_angle': 0.059182532224506305, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.95971867411037132248723291322', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2484238553514482093267857096670', 'Lhash_array': ['2484238553514482093267857096670'], 'label': '2-162-27.14-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/162/3/f/a/71/5'}