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lfunc_lfunctions • Show schema
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{'Lhash': '1511950461376638930206691460020', 'a10': [0, -730.5118582062368], 'a2': [5.656854249492381, 0], 'a3': [0, 31.881421049537384], 'a4': [32.0, 0], 'a5': [0, -129.13747216870394], 'a6': [0, 180.34855214393139], 'a7': [0, 0], 'a8': [181.01933598375618, 0], 'a9': [-287.42500813788547, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.5453001947454, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-5.656854249492381, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.97', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '1720546050514644207874968432557', 'degree': 2, 'euler_factors': [[[1.0, 0], [-5.656854249492381, 0]], [[1.0, 0], [0, -31.881421049537384], [-729.0, 0]], [[1.0, 0], [0, 129.13747216870394], [-15625.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2378.4617318188903, 0], [1771561.0, 0]], [[1.0, 0], [0, -820.7005360514017], [-4826809.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 22.5453001947454, 'bad_primes': [2, 7], 'central_character': '7.6', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/7/b/c/97/8'], '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': '2-98-7.6-c6-0-10', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-98-7.6-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.748189149006746, 'root_angle': -0.1135927629142525, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19271860961090183350302941124665', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '1511950461376638930206691460020', 'Lhash_array': ['1511950461376638930206691460020'], 'factors': ['2-98-7.6-c6-0-10'], 'label': '2-98-7.6-c6-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/7/b/c/97/8'}