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lfunc_lfunctions • Show schema
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{'Lhash': '1160396859233859627949471136372', 'a10': [1.3282810936815368, -1.7987966355784026], 'a2': [-0.6427876096865394, 0.766044443118978], 'a3': [1.1956671052507666, 1.2531481051421067], 'a4': [-0.17364817766693036, -0.984807753012208], 'a5': [-2.231760796185326, 0.13872183898089033], 'a6': [-1.7285271429141518, 0.11042606670999312], 'a7': [2.2329152529662353, -1.2891742223776772], 'a8': [0.8660254037844386, 0.5], 'a9': [-0.14076034684250488, 2.9966959346514916], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.551472915212984, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.6427876096865394, -0.766044443118978]]], [3, [[1.0, 0], [-1.1956671052507666, -1.2531481051421067]]], [5, [[1.0, 0], [2.231760796185326, -0.13872183898089033]]], [19, [[1.0, 0], [0.7658088896220467, -4.291099712728178]]]], 'bad_primes': [2, 3, 5, 19], 'central_character': '570.269', 'coefficient_field': 'CDF', 'conductor': 570, 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{'__RealLiteral__': 0, 'data': '-0.297585622729', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.915391716790841517600557862411', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.30473082965315378374803660380', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.51576530187035796456282340388', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.551472915212984, 'bad_primes': [2, 3, 5, 19], 'central_character': '285.269', 'conductor': 570, 'conductor_radical': 570, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/570/2/bf/a/269/15'], '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': '2-570-285.269-c1-0-10', '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': '2-570-285.269-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.133418129484463, 'root_angle': -0.29758562272866684, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.915391716790841517600557862411', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1160396859233859627949471136372', 'Lhash_array': ['1160396859233859627949471136372'], 'label': '2-570-285.269-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/570/2/bf/a/269/15'}