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lfunc_lfunctions • Show schema
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{'Lhash': '1408793890222324093326154797310', 'a10': [-2.9345198085811157, 1.4379131584536158], 'a2': [-1.3899098479593213, 0.4516090855900677], 'a3': [1.8667469043781106, 2.569356689281562], 'a4': [0.10986463051691145, -0.07982132639413177], 'a5': [2.2137336323303702, -0.3152513363800141], 'a6': [-3.754954731043883, -2.728134302838313], 'a7': [0.0, 0.2590046499208577], 'a8': [1.6013691589996912, -2.2040955584473028], 'a9': [-2.1897988086258082, 6.739507743033633], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.393642085904418, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-2.2137336323303702, 0.3152513363800141]]], [17, [[1.0, 0], [0.5877852522924731, -0.8090169943749475]]]], 'bad_primes': [5, 17], 'central_character': '425.69', 'coefficient_field': 'CDF', 'conductor': 425, 'conductor_radical': 85, 'conjugate': '2631700911612006876667997231984', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.3899098479593213, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.393642085904418, 'bad_primes': [5, 17], 'central_character': '25.19', 'conductor': 425, 'conductor_radical': 85, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/425/2/r/a/69/12'], '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': '2-425-25.19-c1-0-13', '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': '2-425-25.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8421840532108669, 'root_angle': -0.3550268313362566, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11134242351061331659562331994', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1408793890222324093326154797310', 'Lhash_array': ['1408793890222324093326154797310'], 'factors': ['2-425-25.19-c1-0-13'], 'label': '2-425-25.19-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/425/2/r/a/69/12'}