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lfunc_lfunctions • Show schema
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{'Lhash': '2813465096932551580943034345676', 'a10': [-0.7770663025704276, 0.676731591349795], 'a2': [0.37748561321429935, 0.2643182719383672], 'a3': [0.0, 0.0], 'a4': [-0.6114090473480465, -1.6798325516390198], 'a5': [-0.5389860353088436, 2.170136874425679], 'a6': [0.0, 0.0], 'a7': [-1.521679759704344, -3.263252775485288], 'a8': [0.4517528103209641, -1.6859644405798637], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.5389860353088436, -2.170136874425679]]]], 'bad_primes': [3, 5], 'central_character': '405.152', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '716378267858687245064966670326', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.37748561321429935, -0.2643182719383672], [0.6840402866513374, 1.8793852415718169]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.122', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/152/9'], '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': '2-405-135.122-c1-0-13', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-405-135.122-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': 0.29040567382294763, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.21943262317393436463784996337', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2813465096932551580943034345676', 'Lhash_array': ['2813465096932551580943034345676'], 'label': '2-405-135.122-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/152/9'}