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  • lfunc_lfunctions • Show schema
    {'Lhash': '2149003413463468282769673714388', 'a10': [-6.265912602813302, -7.793480560949995], 'a2': [-1.9931127820285213, 0.16583557553953415], 'a3': [2.362433885160412, -2.362433885160412], 'a4': [3.944997123770943, -0.6610580106458038], 'a5': [2.7990585413648694, 4.143099236322052], 'a6': [-4.316821590190842, 5.100372756230191], 'a7': [8.328225123566316, -8.328225123566316], 'a8': [-7.753197256793152, 1.971784039202859], 'a9': [0.0, -2.1621877235082354], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [1.9931127820285213, -0.16583557553953415]]], [5, [[1.0, 0], [-2.7990585413648694, -4.143099236322052]]], [19, [[1.0, 0], [12.770696227160425, 14.068024661394027]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.227', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '1326704896894055143023764046735', 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'root_angle': 0.1735959832308762, 'root_number': '0.4618329226594901 + 0.8869669393769947*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.173595983231', 'prec': 40}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.69526477806783589823000923184', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.55171418925624264774908724992', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.39472347183490345729221317387', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.354250045691284, 'bad_primes': [2, 5, 19], 'central_character': '380.227', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 80, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/3/j/a/227/5'], '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': '2-380-380.227-c2-0-80', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-380-380.227-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': 0.1735959832308762, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.69526477806783589823000923184', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2149003413463468282769673714388', 'Lhash_array': ['2149003413463468282769673714388'], 'factors': ['2-380-380.227-c2-0-80'], 'label': '2-380-380.227-c2-0-80', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/3/j/a/227/5'}