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lfunc_lfunctions • Show schema
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{'Lhash': '177497825291377961977577729829', 'a10': [2.0740581462271908, 5.081489649769213], 'a2': [-2.4451762429439197, -0.2139252015805036], 'a3': [0.0, 0.0], 'a4': [3.963507361161667, 0.6988732860094122], 'a5': [-1.0222163168751799, -1.9887367350944523], 'a6': [0.0, 0.0], 'a7': [-3.873967699524377, -2.7125813859878964], 'a8': [-4.800205829415164, -1.2862112754949606], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0222163168751799, 1.9887367350944523]]]], 'bad_primes': [3, 5], 'central_character': '405.368', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '1613436116651659563079367575356', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.4451762429439197, 0.2139252015805036], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.0222163168751799, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.113', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/368/1'], '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': '2-405-135.113-c1-0-0', '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': '2-405-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': -0.27947243166392616, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.14002109513411742260699057692', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '177497825291377961977577729829', 'Lhash_array': ['177497825291377961977577729829'], 'label': '2-405-135.113-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/368/1'}