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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1527.5527711030315, 'bad_primes': [5, 17], 'central_character': '1.1', 'conductor': 5892961181640625, 'conductor_radical': 85, 'degree': 12, 'dirichlet_coefficients': [1, -2, 0, -3, 0, 0, 0, 8, 1, 0, 0, 0, 2, 0, 0, 2, -2, -2, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 4, 0, -3, 0, -24, 0, 0, 0, 0, -8, 0, 0, 0, 40, 0, 23, 0, 0, -6, -10, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -6, 0, 0, 24, 6, 0, 0, 0, 8, 0, 0, 0, -36, 0, 0, 0, 0, -3, 0, -20, 0, 0, 16, 0, 0, -8, 0, 0, 0, 0, -80, 0, 0, 0, -46, 0, 0], 'euler11': [1, 0, 0, 0, 203, 0, -428, 0, 24563, 0, 0, 0, 1771561], 'euler13': [1, -2, 53, -58, 1358, -1170, 22317, -15210, 229502, -127426, 1513733, -742586, 4826809], 'euler17': [1, 2, 15, -36, 255, 578, 4913, 0, 0, 0, 0, 0, 0], 'euler19': [1, -12, 118, -748, 4775, -24176, 119972, -459344, 1723775, -5130532, 15377878, -29713188, 47045881], 'euler2': [1, 2, 7, 12, 27, 38, 69, 76, 108, 96, 112, 64, 64], 'euler23': [1, 0, -84, 0, 3203, 0, -82532, 0, 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-5208940, 0, 452375311, 0, -22132320250, 0, 832972004929]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/425/2/d/a'], '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': '12-425e6-1.1-c1e6-0-2', 'motivic_weight': 1, '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-425e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.8421840532108669, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1114096100437771139, 'z1': {'__RealLiteral__': 0, 'data': '0.36731966096398744806428901814', 'prec': 103}}
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{'Lhash': '465632988696628413310947603258,1156230672063974620322851795107,1173584773540266468060218686885,1726261565541336355472230543687,2031184136123489382221242956436,4097171492191342069114961369284', 'Lhash_array': ['465632988696628413310947603258', '1156230672063974620322851795107', '1173584773540266468060218686885', '1726261565541336355472230543687', '2031184136123489382221242956436', '4097171492191342069114961369284'], 'label': '12-425e6-1.1-c1e6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/425/2/d/a'}