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lfunc_lfunctions • Show schema
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{'Lhash': '2459322010808371529884870205401', 'a10': [1.2366148892304485, 1.0317129835366332], 'a2': [-1.4084787738786289, 0.1272302775810636], 'a3': [-0.7071067811865476, 0.7071067811865476], 'a4': [1.967624912933291, -0.35840229073522806], 'a5': [-0.8052403468320026, -0.8052403468320026], 'a6': [0.9059795001170755, -1.0859102842167092], 'a7': [0.0, -1.0], 'a8': [-2.7257583018853935, 0.7551434828579646], 'a9': [0.0, -1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.682973507915022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4084787738786289, -0.1272302775810636]]], [3, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]], [7, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 3, 7], 'central_character': '336.85', 'coefficient_field': 'CDF', 'conductor': 336, 'conductor_radical': 42, 'conjugate': '234361641520297216163119707692', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4084787738786289, 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'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.380148709726', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.94006298767625094433877408005', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.30475171169273347687268294968', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.23978314898066815062856544289', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.682973507915022, 'bad_primes': [2, 3, 7], 'central_character': '16.5', 'conductor': 336, 'conductor_radical': 42, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/336/2/w/b/85/1'], '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': '2-336-16.5-c1-0-14', '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': '2-336-16.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6379784821282062, 'root_angle': 0.38014870972590825, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.94006298767625094433877408005', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2459322010808371529884870205401', 'Lhash_array': ['2459322010808371529884870205401'], 'label': '2-336-16.5-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/336/2/w/b/85/1'}