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lfunc_lfunctions • Show schema
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{'Lhash': '2138448812388442833407644728030', 'a10': [1.3780778708839672, 1.7609376427857724], 'a2': [-0.28173255684142967, 0.9594929736144974], 'a3': [2.3695110649083304, 2.0531930254584343], 'a4': [-0.8412535328311812, -0.5406408174555976], 'a5': [1.3013578931354906, -1.8183694987471488], 'a6': [-2.6375926921823423, 1.6950778969299531], 'a7': [-1.5566010560401489, 0.7108758830340505], 'a8': [0.7557495743542583, -0.6548607339452851], 'a9': [0.9720365721119975, 6.760662858789945], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.28173255684142967, -0.9594929736144974]]], [5, [[1.0, 0], [-1.3013578931354906, 1.8183694987471488]]], [23, [[1.0, 0], [0.5557474223788098, -4.763522310488249]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.179', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.49992339531045593, 'root_number': '0.00024066072757912216 - 0.9999999710412066*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.249961697655', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.68693866590954465790925542728', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.81216919895747624647365203105', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.75831747385565278345503021561', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.64', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/j/a/179/6'], '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': '2-230-115.64-c1-0-5', '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': '2-230-115.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.24996169765522797, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.68693866590954465790925542728', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2138448812388442833407644728030', 'Lhash_array': ['2138448812388442833407644728030'], 'label': '2-230-115.64-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/j/a/179/6'}