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  • lfunc_lfunctions • Show schema
    {'Lhash': '3000594009273588525425794627440', 'a10': [-8.409075406027148, -5.411788134780348], 'a2': [0.6573002008953478, -1.8889035035975066], 'a3': [0.4834044646991352, 0.4834044646991352], 'a4': [-3.1359128918058707, -2.483153304773135], 'a5': [1.1737646536970607, -4.860275356163622], 'a6': [1.2308462387853232, -0.595362535264424], 'a7': [-1.6452182474969093, -1.6452182474969093], 'a8': [-6.751673151130011, 4.291259682227369], 'a9': [0.0, -8.532640247017886], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6573002008953478, 1.8889035035975066]]], [5, [[1.0, 0], [-1.1737646536970607, 4.860275356163622]]], [19, [[1.0, 0], [18.264714082863847, 5.234521895191108]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.303', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '684887823683089426367553626530', 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3.217802051974497, 'root_angle': -0.473166275972468, 'root_number': '-0.9858204447244671 - 0.16780360771823105*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.473166275972', 'prec': 40}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.36705130635630813606218066541', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.64350503321676803172436862009', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.90855114285061867821309035739', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.354250045691284, 'bad_primes': [2, 5, 19], 'central_character': '380.303', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 105, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/3/j/a/303/71'], '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': '2-380-380.303-c2-0-105', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-380-380.303-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.473166275972468, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.36705130635630813606218066541', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3000594009273588525425794627440', 'Lhash_array': ['3000594009273588525425794627440'], 'factors': ['2-380-380.303-c2-0-105'], 'label': '2-380-380.303-c2-0-105', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/3/j/a/303/71'}