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lfunc_lfunctions • Show schema
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{'Lhash': '969691951917556435018356595415', 'a10': [-1.8793852415718169, -0.6840402866513374], 'a2': [-0.9396926207859084, 0.3420201433256687], 'a3': [0.060307379214091614, -0.3420201433256687], 'a4': [0.766044443118978, -0.6427876096865394], 'a5': [1.532088886237956, 1.2855752193730787], 'a6': [0.060307379214091614, 0.3420201433256687], 'a7': [0.8793852415718167, 1.5231399178286176], 'a8': [-0.5, 0.8660254037844386], 'a9': [2.7057370639048863, 0.984807753012208], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.765199025936447, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9396926207859084, -0.3420201433256687]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 19], 'central_character': '722.423', 'coefficient_field': 'CDF', 'conductor': 722, 'conductor_radical': 38, 'conjugate': '2342020213555157174737589891338', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9396926207859084, -0.3420201433256687]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.765199025936447, 'bad_primes': [2, 19], 'central_character': '19.5', 'conductor': 722, 'conductor_radical': 38, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/722/2/e/m/423/1'], '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': '2-722-19.5-c1-0-4', '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': '2-722-19.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.401082886102945, 'root_angle': -0.25851052850392875, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76495207097521342370367671049', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '969691951917556435018356595415', 'Lhash_array': ['969691951917556435018356595415'], 'label': '2-722-19.5-c1-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/722/2/e/m/423/1'}