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lfunc_lfunctions • Show schema
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{'Lhash': '2022899997264912527651978252039', 'a10': [226139.44249600093, 0.0], 'a2': [60.570790343910396, 0.0], 'a3': [-243.0, 0.0], 'a4': [1620.8206428859487, 0.0], 'a5': [3733.473530921762, 0.0], 'a6': [-14718.702053570227, 0.0], 'a7': [51542.940203891296, 0.0], 'a8': [-25874.591279001623, 0.0], 'a9': [59049.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 135.99674295904725, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [243.0, 0]]], [59, [[1.0, 0], [-714924299.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '177.1', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [-60.570790343910396, 0], [2048.0, 0]], [[1.0, 0], [243.0, 0]], [[1.0, 0], [-3733.473530921762, 0], [48828125.0, 0]], [[1.0, 0], [-51542.940203891296, 0], [1977326743.0, 0]], [[1.0, 0], [-8197.467255987825, 0], [285311670611.0, 0]], [[1.0, 0], [2101270.451068786, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 135.99674295904725, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 96, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/12/a/a/1/23'], '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': '2-177-1.1-c11-0-96', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 1, 'prelabel': '2-177-1.1-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.661764144375724, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '1.59578672301398120187227618343', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2022899997264912527651978252039', 'Lhash_array': ['2022899997264912527651978252039'], 'label': '2-177-1.1-c11-0-96', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/12/a/a/1/23'}