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lfunc_lfunctions • Show schema
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{'Lhash': '2057864474770491492633807747854', 'a10': [0.9238795325112867, 0.3826834323650898], 'a2': [-0.7071067811865476, -0.7071067811865476], 'a3': [-0.029401440805479236, -0.0709813571458977], 'a4': [0.0, 1.0], 'a5': [-0.9238795325112867, 0.3826834323650898], 'a6': [-0.029401440805479236, 0.0709813571458977], 'a7': [3.489237283184157, 1.4452894050327296], 'a8': [0.7071067811865476, -0.7071067811865476], 'a9': [2.117146435218807, -2.117146435218807], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3574568343617672, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]], [5, [[1.0, 0], [0.9238795325112867, -0.3826834323650898]]], [17, [[1.0, 0], [-2.960454986233836, 2.869792026346721]]]], 'bad_primes': [2, 5, 17], 'central_character': '170.151', 'coefficient_field': 'CDF', 'conductor': 170, 'conductor_radical': 170, 'conjugate': '1991789740347447517104548745907', 'degree': 2, 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103}, 'z3': {'__RealLiteral__': 0, 'data': '5.15303798970325904065632917820', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3574568343617672, 'bad_primes': [2, 5, 17], 'central_character': '17.15', 'conductor': 170, 'conductor_radical': 170, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/170/2/k/b/151/3'], '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': '2-170-17.15-c1-0-2', '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': '2-170-17.15-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1650994954774323, 'root_angle': 0.07706398844008143, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.62336883238961192903559128684', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2057864474770491492633807747854', 'Lhash_array': ['2057864474770491492633807747854'], 'label': '2-170-17.15-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/170/2/k/b/151/3'}