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lfunc_lfunctions • Show schema
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{'algebraic': True, 'analytic_conductor': 33674164855.55364, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 2037417244146278626404335616, 'conductor_radical': 6, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0], 'euler11': [1, 0, -22, 0, 217, 0, -550, 0, -1916, 0, -66550, 0, 3177097, 0, -38974342, 0, 214358881], 'euler13': [1, -8, 36, 80, -1222, 6408, -5360, -64856, 443907, -843128, -905840, 14078376, -34901542, 29703440, 173765124, -501988136, 815730721], 'euler17': [1, 0, -88, 0, 4060, 0, -118888, 0, 2413894, 0, -34358632, 0, 339095260, 0, -2124106072, 0, 6975757441], 'euler19': [1, 0, -56, 0, 2620, 0, -71624, 0, 1669414, 0, -25856264, 0, 341441020, 0, -2634569336, 0, 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0, 55025228222, 0, 852891037441], [1, 0, 200, 0, 20476, 0, 1321400, 0, 58564966, 0, 1808996600, 0, 38375320636, 0, 513145281800, 0, 3512479453921], [1, 48, 1204, 20928, 281290, 3090480, 28626256, 227449584, 1563684979, 9325432944, 48120736336, 212998972080, 794858311690, 2424638574528, 5719125506164, 9348205146288, 7984925229121], [1, 0, 116, 0, 6778, 0, 345680, 0, 16296739, 0, 639162320, 0, 23172633178, 0, 733278113684, 0, 11688200277601], [1, 0, -100, 0, 4618, 0, -96400, 0, 1996243, 0, -212947600, 0, 22534366858, 0, -1077921532900, 0, 23811286661761], [1, 0, -52, 0, 1450, 0, -166192, 0, 19728499, 0, -466833328, 0, 11441197450, 0, -1152546778708, 0, 62259690411361], [1, 0, -148, 0, 11002, 0, -583120, 0, 30488419, 0, -2029840720, 0, 133315205722, 0, -6242718978868, 0, 146830437604321], [1, 16, -84, -928, 30362, 179376, -2099408, 993712, 229890051, 60616432, -7811897168, 40714943856, 420387424442, -783785367328, -4327711446324, 50283885376336, 191707312997281], [1, 0, 20, 0, 922, 0, 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'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2592/2/s/h'], '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': '16-2592e8-1.1-c1e8-0-3', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-2592e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.549420205247685, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 1127804797336393103, 'z1': {'__RealLiteral__': 0, 'data': '0.06602528640683071258317304624', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '83696993943859708504766249204,465776301000820322911984108097,657731167946995967289972230656,1448324744113276740979013854773,1681079892467080204679377414005,1767867871184785663761543475067,1815880638192006257139675024393,1921988251100617204221739656538', 'Lhash_array': ['83696993943859708504766249204', '465776301000820322911984108097', '657731167946995967289972230656', '1448324744113276740979013854773', '1681079892467080204679377414005', '1767867871184785663761543475067', '1815880638192006257139675024393', '1921988251100617204221739656538'], 'label': '16-2592e8-1.1-c1e8-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2592/2/s/h'}