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lfunc_lfunctions • Show schema
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{'Lhash': '1925249410574654977397990950754', 'a10': [1.8055541956709316, 1.1357428211618394], 'a2': [0.8964034921893095, -0.32626418904918486], 'a3': [-0.09714838031812309, 0.26691298126063306], 'a4': [-0.8349979864846888, 0.7006465024930739], 'a5': [1.3713955613764515, 1.7661467136783873], 'a6': [-4.455695733710016e-61, 0.2709577660346254], 'a7': [0.07834827653719123, -0.013814915045514796], 'a8': [-1.4738319196675147, 2.5527517666809074], 'a9': [2.23632859758993, 1.8765025014289138], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1.3713955613764515, -1.7661467136783873]]], [37, [[1.0, 0], [-4.060698598085732, 4.528877001587101]]]], 'bad_primes': [5, 37], 'central_character': '185.104', 'coefficient_field': 'CDF', 'conductor': 185, 'conductor_radical': 185, 'conjugate': '3159330364513158361918496700644', 'degree': 2, 'euler_factors': [[[1.0, 0], 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54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.51875399280214174363190444803', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.02921013892395624162587273089', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.85327241108053027683478890513', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'bad_primes': [5, 37], 'central_character': '185.104', 'conductor': 185, 'conductor_radical': 185, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/185/2/v/a/104/11'], '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': '2-185-185.104-c1-0-8', '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': '2-185-185.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814846, 'root_angle': -0.09853999794447542, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.51875399280214174363190444803', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1925249410574654977397990950754', 'Lhash_array': ['1925249410574654977397990950754'], 'factors': ['2-185-185.104-c1-0-8'], 'label': '2-185-185.104-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/185/2/v/a/104/11'}