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  • lfunc_lfunctions • Show schema
    {'Lhash': '765981327121283946725395604626', 'a10': [4.353583726661402, -9.002572339889806], 'a2': [1.388525171946733, 1.4394435893324529], 'a3': [0.480142115973912, -0.8316305397204438], 'a4': [-0.14399569374059065, 3.9974073147709337], 'a5': [-1.728408612377255, -4.69175912304331], 'a6': [1.863774663235225, -0.46360244735431694], 'a7': [-5.581374514253657, 0.0], 'a8': [-5.953983978608417, 5.343227000837067], 'a9': [4.038927096936189, 6.995626939960147], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-1.388525171946733, -1.4394435893324529]]], [5, [[1.0, 0], [1.728408612377255, 4.69175912304331]]], [19, [[1.0, 0], [14.282807349728403, -12.530020519158949]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.239', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '2506775886148312453201731732442', 'degree': 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'3.28963816942778801652778425951588', '4.54867298427848985069329059341143', '6.10527868972310896318662238886167', '6.55751839047084392145245959161813', '8.018359750071826445171149300262273', '9.470437104795491049787262677604118', '9.931869281251580494269623340935168', '10.98279075939082167418424711097425'], 'prelabel': '2-380-380.239-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.365599454233002, 'root_number': '-0.6641324476997437 - 0.7476149355867279*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.365599454233', 'prec': 40}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.60425272309528801499451417498', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.95842926703443045248751418344', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.28963816942778801652778425952', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.354250045691284, 'bad_primes': [2, 5, 19], 'central_character': '380.239', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/3/p/a/239/86'], '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': '2-380-380.239-c2-0-26', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-380-380.239-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.365599454233002, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.60425272309528801499451417498', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '765981327121283946725395604626', 'Lhash_array': ['765981327121283946725395604626'], 'factors': ['2-380-380.239-c2-0-26'], 'label': '2-380-380.239-c2-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/3/p/a/239/86'}