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{'Lhash': '1385529847041156372481207002066,2090018804187855238017948530132,2214296103570095587334516187365,2491084749070496561004494731315,3226446674305720863944604834602,3340331907369529126708160716071', 'a10': 0, 'a2': 0, 'a3': -8, 'a4': -4, 'a5': -6, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 26, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17318.05984582416, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [1]], [13, [1, 6, 15, 20, 15, 6, 1]]], 'bad_primes': [7, 13], 'central_character': '637.1', 'coefficient_field': '1.1.1.1', 'conductor': 66809249633371609, 'conductor_radical': 91, 'degree': 12, 'euler_factors': [[1, 0, 4, 0, 10, 4, 22, 8, 40, 0, 64, 0, 64], [1, 8, 38, 132, 363, 820, 1550, 2460, 3267, 3564, 3078, 1944, 729], [1, 6, 35, 126, 444, 1166, 2971, 5830, 11100, 15750, 21875, 18750, 15625], [1], [1, -4, 28, -64, 329, -384, 2562, -4224, 39809, -85184, 409948, -644204, 1771561], [1, 6, 15, 20, 15, 6, 1], [1, 16, 158, 1036, 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'0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 97353017328462921, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.09299032934761664118844414639', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.64873412580056810232984917262', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.74677162868966491552739570492', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 17318.05984582416, 'bad_primes': [7, 13], 'central_character': '1.1', 'conductor': 66809249633371609, 'conductor_radical': 91, 'degree': 12, 'dirichlet_coefficients': [1, 0, -8, -4, -6, 0, 0, 0, 26, 0, 4, 32, -6, 0, 48, 6, -16, 0, -2, 24, 0, 0, -6, 0, 1, 0, -36, 0, -6, 0, -6, -4, -32, 0, 0, -104, 0, 0, 48, 0, 8, 0, 2, -16, -156, 0, -30, -48, 0, 0, 128, 24, -14, 0, -24, 0, 16, 0, -24, -192, 0, 0, 0, -6, 36, 0, 16, 64, 48, 0, 8, 0, 6, 0, -8, 8, 0, 0, -22, -36, -7, 0, -50, 0, 96, 0, 48, 0, -26, 0, 0, 24, 48, 0, 12, 32, 14, 0, 104, -4], 'euler11': [1, -4, 28, -64, 329, -384, 2562, -4224, 39809, -85184, 409948, -644204, 1771561], 'euler13': [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], 'euler17': [1, 16, 158, 1036, 5351, 22924, 95142, 389708, 1546439, 5089868, 13196318, 22717712, 24137569], 'euler19': [1, 2, 97, 174, 4206, 6314, 103439, 119966, 1518366, 1193466, 12641137, 4952198, 47045881], 'euler2': [1, 0, 4, 0, 10, 4, 22, 8, 40, 0, 64, 0, 64], 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196952032150, 326940373369], 'euler89': [1, 26, 665, 10382, 156398, 1742290, 18723811, 155063810, 1238828558, 7318988158, 41723590265, 145185545674, 496981290961], 'euler97': [1, -14, 321, -3170, 53038, -457742, 6291427, -44400974, 499034542, -2893173410, 28417899201, -120222763598, 832972004929], 'euler_factors': [[1, 0, 4, 0, 10, 4, 22, 8, 40, 0, 64, 0, 64], [1, 8, 38, 132, 363, 820, 1550, 2460, 3267, 3564, 3078, 1944, 729], [1, 6, 35, 126, 444, 1166, 2971, 5830, 11100, 15750, 21875, 18750, 15625], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 28, -64, 329, -384, 2562, -4224, 39809, -85184, 409948, -644204, 1771561], [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, 16, 158, 1036, 5351, 22924, 95142, 389708, 1546439, 5089868, 13196318, 22717712, 24137569], [1, 2, 97, 174, 4206, 6314, 103439, 119966, 1518366, 1193466, 12641137, 4952198, 47045881], [1, 6, 101, 418, 4362, 13846, 118657, 318458, 2307498, 5085806, 28263941, 38618058, 148035889], [1, 6, 141, 602, 8386, 27374, 298533, 793846, 7052626, 14682178, 99726621, 123066894, 594823321], [1, 6, 71, 422, 4336, 20462, 147703, 634322, 4166896, 12571802, 65569991, 171774906, 887503681], [1, 0, 140, 236, 8777, 25480, 367738, 942760, 12015713, 11954108, 262382540, 0, 2565726409], [1, -8, 126, -672, 7255, -35160, 337924, -1441560, 12195655, -46314912, 356045886, -926849608, 4750104241], [1, -2, 97, -618, 6618, -32018, 404609, -1376774, 12236682, -49135326, 331623697, -294016886, 6321363049], [1, 30, 497, 5570, 47934, 346670, 2382079, 16293490, 105886206, 578294110, 2425201457, 6880350210, 10779215329], [1, 14, 281, 3030, 35490, 288526, 2479717, 15291878, 99691410, 451097310, 2217225161, 5854736902, 22164361129], [1, 24, 500, 7036, 85435, 826892, 7012620, 48786628, 297399235, 1445046644, 6058680500, 17158183176, 42180533641], [1, 0, 120, -112, 12043, 272, 813584, 16592, 44812003, -25421872, 1661500920, 0, 51520374361], [1, -16, 402, -4560, 65351, -561152, 5755516, -37597184, 293360639, -1371479280, 8100750642, -21602001712, 90458382169], [1, -8, 110, -984, 19145, -111980, 1119230, -7950580, 96509945, -352184424, 2795284910, -14433834808, 128100283921], [1, -6, 197, -1382, 21574, -165022, 1685555, -12046606, 114967846, -537621494, 5594453477, -12438429558, 151334226289], [1, 22, 409, 5518, 61946, 630742, 5676321, 49828618, 386604986, 2720589202, 15930583129, 67695240778, 243087455521], [1, 50, 1439, 28742, 441892, 5421474, 54504063, 449982342, 3044193988, 16434301954, 68292523919, 196952032150, 326940373369], [1, 26, 665, 10382, 156398, 1742290, 18723811, 155063810, 1238828558, 7318988158, 41723590265, 145185545674, 496981290961], [1, -14, 321, -3170, 53038, -457742, 6291427, -44400974, 499034542, -2893173410, 28417899201, -120222763598, 832972004929]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/a/m'], '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': '12-637e6-1.1-c1e6-0-6', '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': 6, 'prelabel': '12-637e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 97353017328462921, 'z1': {'__RealLiteral__': 0, 'data': '1.09299032934761664118844414639', 'prec': 103}}
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{'Lhash': '1385529847041156372481207002066,2090018804187855238017948530132,2214296103570095587334516187365,2491084749070496561004494731315,3226446674305720863944604834602,3340331907369529126708160716071', 'Lhash_array': ['1385529847041156372481207002066', '2090018804187855238017948530132', '2214296103570095587334516187365', '2491084749070496561004494731315', '3226446674305720863944604834602', '3340331907369529126708160716071'], 'label': '12-637e6-1.1-c1e6-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/a/m'}