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lfunc_lfunctions • Show schema
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{'Lhash': '899089157272686967936769375331', 'a10': [-15.07850641623291, 0.0], 'a2': [2.0498876323765924, 0.0], 'a3': [6.115218458582948, 0.0], 'a4': [-3.797960694629488, 0.0], 'a5': [-7.355772178961457, 0.0], 'a6': [12.535510687530234, 0.0], 'a7': [0.0, 0.0], 'a8': [-24.18449371518614, 0.0], 'a9': [10.395896796193604, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 141.66358592378327, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]]], 'bad_primes': [7], 'central_character': '2401.1', 'coefficient_field': 'CDF', 'conductor': 2401, 'conductor_radical': 7, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0498876323765924, 0], [8.0, 0]], [[1.0, 0], [-6.115218458582948, 0], [27.0, 0]], [[1.0, 0], [7.355772178961457, 0], [125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-45.80575435546062, 0], [1331.0, 0]], [[1.0, 0], [-20.939396967074583, 0], [2197.0, 0]], [[1.0, 0], [-57.86903732040804, 0], [4913.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 141.66358592378327, 'bad_primes': [7], 'central_character': '1.1', 'conductor': 2401, 'conductor_radical': 7, 'degree': 2, 'index': 186, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2401/4/a/d/1/27'], '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': '2-7e4-1.1-c3-0-186', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-7e4-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.902251296447377, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70925628648052849118325198497', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '899089157272686967936769375331', 'Lhash_array': ['899089157272686967936769375331'], 'label': '2-7e4-1.1-c3-0-186', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2401/4/a/d/1/27'}