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lfunc_lfunctions • Show schema
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{'Lhash': '1406583292747780361950700405002', 'a10': [0, -1.9674043942729937], 'a2': [-0.8090169943749475, -0.5877852522924731], 'a3': [0, 0], 'a4': [0.30901699437494745, 0.9510565162951535], 'a5': [1.156411288249072, 1.5916635897748015], 'a6': [0, 0], 'a7': [-0.9510565162951535, 0.30901699437494745], 'a8': [0.30901699437494745, -0.9510565162951535], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.067265720149466, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8090169943749475, 0.5877852522924731]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.9510565162951535, -0.30901699437494745]]], [11, [[1.0, 0], [-0.1281089517545047, 3.314149679251129]]]], 'bad_primes': [2, 3, 7, 11], 'central_character': '1386.953', 'coefficient_field': 'CDF', 'conductor': 1386, 'conductor_radical': 462, 'conjugate': '981826968190572320142035960270', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8090169943749475, 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60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10959856958576546606181795549', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.18603212564143014714646052492', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.66771434582965221600959802825', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.067265720149466, 'bad_primes': [2, 3, 7, 11], 'central_character': '33.29', 'conductor': 1386, 'conductor_radical': 462, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1386/2/bu/a/953/9'], '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': '2-1386-33.29-c1-0-15', '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': '2-1386-33.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.326750023694216, 'root_angle': 0.11925906568193469, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10959856958576546606181795549', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1406583292747780361950700405002', 'Lhash_array': ['1406583292747780361950700405002'], 'label': '2-1386-33.29-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1386/2/bu/a/953/9'}