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  • lfunc_lfunctions • Show schema
    {'Lhash': '4013855040030161076180222700289', 'a10': [0.34601073581504793, 1.5159720852460892], 'a2': [-0.6234898018587335, 0.7818314824680298], 'a3': [0.5, -2.1906431337674115], 'a4': [-0.2225209339563144, -0.9749279121818236], 'a5': [0.9695005376737814, -1.215715221585588], 'a6': [1.400968867902419, 1.7567593946498534], 'a7': [-0.7774790660436856, 3.4063583553529995], 'a8': [0.9009688679024191, 0.4338837391175581], 'a9': [-1.846010735815048, -0.8889919164147372], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0.6234898018587335, -0.7818314824680298]]], [29, [[1.0, 0], [-5.381354537653362, -0.2025421933266484]]]], 'bad_primes': [2, 29], 'central_character': '58.23', 'coefficient_field': 'CDF', 'conductor': 58, 'conductor_radical': 58, 'conjugate': '2665348253183767084035813469756', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6234898018587335, 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'0.055604393306', 'prec': 37}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.16637332030411344290933635322', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.51837452040187098641598730832', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '6.77376692475317745727957685680', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'bad_primes': [2, 29], 'central_character': '29.23', 'conductor': 58, 'conductor_radical': 58, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/58/2/d/a/23/1'], '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': '2-58-29.23-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-58-29.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6805382661712907, 'root_angle': 0.05560439330597043, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.16637332030411344290933635322', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '4013855040030161076180222700289', 'Lhash_array': ['4013855040030161076180222700289'], 'factors': ['2-58-29.23-c1-0-1'], 'label': '2-58-29.23-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/58/2/d/a/23/1'}