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'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3e4-0', 'trace_hash': 1265355866278490982, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.59165253085540314681533273102', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.71337618386922101725451085150', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.04067909133511062360647544350', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 222508017.92752656, 'bad_primes': [2, 3, 5, 23], 'central_character': '1.1', 'conductor': 18360368010000, 'conductor_radical': 690, 'degree': 8, 'dirichlet_coefficients': [1, 8, 0, 40, 20, 0, -1, 160, 0, 160, 39, 0, -20, -8, 0, 560, 23, 0, 53, 800, 0, 312, 92, 0, 250, -160, 0, -40, -161, 0, 388, 1792, 0, 184, -20, 0, 466, 424, 0, 3200, -484, 0, 894, 1560, 0, 736, 265, 0, 136, 2000, 0, -800, -576, 0, 780, -160, 0, -1288, 94, 0, 1153, 3104, 0, 5376, -400, 0, -1472, 920, 0, -160, -200, 0, 1147, 3728, 0, 2120, -39, 0, -908, 11200, 0, -3872, 1048, 0, 460, 7152, 0, 6240, 1784, 0, 20, 3680, 0, 2120, 1060, 0, -2047, 1088, 0, 10000], 'euler11': [1, -39, 3553, -61307, 4937428, -81599617, 6294356233, -91959959949, 3138428376721], 'euler13': [1, 20, 3840, 157301, 10278344, 345590297, 18534946560, 212089987460, 23298085122481], 'euler17': [1, -23, 5447, 251497, 6295268, 1235604761, 131477338343, -2727521159431, 582622237229761], 'euler19': [1, -53, 12407, 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2933893, 2857813609, 3031159147844, 2608249319966857, 2443850734457158597, 1556192977065894999199, 693842360995438000295041]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2070/4/a/bj'], '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': '8-2070e4-1.1-c3e4-0-3', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-2070e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.051423153236108, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 1265355866278490982, 'z1': {'__RealLiteral__': 0, 'data': '0.59165253085540314681533273102', 'prec': 103}}
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{'Lhash': '750008685865402815313483012028,904311747670341763541765445885,1319217474775921349246667988164,1488773643081554755523431885799', 'Lhash_array': ['750008685865402815313483012028', '904311747670341763541765445885', '1319217474775921349246667988164', '1488773643081554755523431885799'], 'label': '8-2070e4-1.1-c3e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2070/4/a/bj'}