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lfunc_lfunctions • Show schema
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{'Lhash': '1395704771700889247048386267606', 'a10': [-7.5975523945800045, -1.8748685205400488e-61], 'a2': [-1.8267839950181866, 1.05469423127505], 'a3': [2.26164840585687, 0.0], 'a4': [1.224759842969737, -2.1213462750936647], 'a5': [3.1192326577605445, 1.8008898146231223], 'a6': [-4.131543110177726, 2.385347526829654], 'a7': [0.0, 0.0], 'a8': [0.0, 0.9482116392098715], 'a9': [2.115053511714922, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.086470608755563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [1.17348727575741, -3.4092415012192157]]]], 'bad_primes': [7, 13], 'central_character': '637.30', 'coefficient_field': 'CDF', 'conductor': 637, 'conductor_radical': 91, 'conjugate': '2268077761554064193907327922720', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.8267839950181866, -1.05469423127505], [1.0, -1.7320508075688772]], [[1.0, 0], [-2.26164840585687, 0], [3.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.086470608755563, 'bad_primes': [7, 13], 'central_character': '91.30', 'conductor': 637, 'conductor_radical': 91, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/u/h/30/1'], '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': '2-637-91.30-c1-0-17', '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': '2-637-91.30-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': -0.2624406122625678, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10101692962524911214673654566', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1395704771700889247048386267606', 'Lhash_array': ['1395704771700889247048386267606'], 'label': '2-637-91.30-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/u/h/30/1'}