# Stored data for newform 882.6.a.bh, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 31752, "analytic_conductor": 141.45852907504892, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1]], "atkin_lehner_string": "+-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [882, 1, [785, 199], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 9601, "field_disc_factorization": [[9601, 1]], "field_poly": [-2400, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-1698, -53, 1]], [11, [-50886, 191, 1]]], "hecke_orbit": 34, "hecke_orbit_code": 148618787803890546, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "882.6.a.bh", "level": 882, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "42.6.e.c", "nf_label": "2.2.9601.1", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+2^{4}q^{4}+(3^{3}-\\beta )q^{5}-2^{6}q^{8}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "882.6.a", "trace_display": [-8, 0, 53, 0], "trace_hash": 1642454455715485362, "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.231", "prec": 17}, {"__RealLiteral__": 0, "data": "9.214", "prec": 17}, {"__RealLiteral__": 0, "data": "1.651", "prec": 17}, {"__RealLiteral__": 0, "data": "61.620", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, -8, 0, 32, 53, 0, 0, -128, 0, -212, -191, 0, -379, 0, 0, 512, 340, 0, -1769, 848, 0, 764, -3236, 0, -45, 1516, 0, 0, -4459, 0, 1994, -2048, 0, -1360, 0, 0, 20587, 7076, 0, -3392, -8814, 0, 15853, -3056, 0, 12944, -33912, 0, 0, 180, 0, -6064, -49239, 0, 18941, 0, 0, 17836, 56735, 0, 67508, -7976, 0, 8192, 42762, 0, 75723, 5440, 0, 0, 8992, 0, -3201, -82348, 0, -28304, 0, 0, 26612, 13568, 0, 35256, 949, 0, 105020, -63412, 0, 12224, -176562, 0, 0, -51776, 0, 135648, -234098, 0, -129423, 0, 0, -720, 34508, 0, 229531, 24256, 0, 196956, 142677, 0, -70197, -75764, 0, 0, -3922, 0, -104956, -71344, 0, -226940, 0, 0, -183849, -270032, 0, 31904, 87609, 0, -6088, -32768, 0, -171048, -139567, 0, 0, -302892, 0, -21760, -77170, 0, -68043, 0, 0, -35968, 300222, 0, 174667, 12804, 0, 329392, 96942, 0, -154881, 113216, 0, 0, 840123, 0, -322994, -106448, 0, -54272, 0, 0, -161552, -141024, 0, -3796, -948688, 0, -89905, -420080, 0, 253648, 427538, 0, 0, -48896, 0, 706248, -493962, 0, 670841, 0, 0, 207104, 300730, 0, 447580, -542592, 0, 936392, 222042, 0, -1161944, 517692, 0, 0, 1216174, 0, 753964, 2880, 0, -138032, 0, 0, -550404, -918124, 0, -97024, -767158, 0, 382054, -787824, 0, -570708, 837748, 0, 0, 280788, 0, 303056, 991680, 0, 1164973, 0, 0, 15688, 1507287, 0, 847605, 419824, 0, 285376, 594670, 0, -1647546, 907760, 0, 0, 1395714, 0, 1735933, 735396, 0, 1080128, 0, 0, -1724189, -127616, 0, -350436, 1095099, 0, 213028, 24352, 0, 131072, 2302836, 0, 0, 684192, 0, 558268, 615450, 0, -224721, 0, 0, 1211568, 1980047, 0, 3187475, 87040, 0, 308680, 1276430, 0, -3596351, 272172, 0, 0, 876610, 0, 3293997, 143872, 0, -1200888, 0, 0, -861714, -698668, 0, -51216, 3500313, 0, 1306657, -1317568, 0, -387768, 402000, 0, 0, 619524, 0, -452864, 1942578, 0, 1735965, 0, 0, -3360492, 889178, 0, 3490440, 1291976, 0, 425792, -695271, 0, 1889987, 217088, 0, 0, -4045120, 0, 2807219, 646208, 0, 564096, 0, 0, 781021, 15184, 0, 3794752, 3624428, 0, 1508198, 359620, 0, 1680320, 3745983, 0, 0, -1014592, 0, -1710152, -6089292, 0, 1592508, 0, 0, 195584, 1025862, 0, 6670958, -2824992, 0, 1975848, -2917342, 0, 3914043, -2683364, 0, 0, -4285264, 0, 1593802, -828416, 0, -1202920, 0, 0, -44637, -1790320, 0, 2170368, 4066116, 0, 8207349, -3745568, 0, -888168, -2578250, 0, 0, 4647776, 0, -2070768, -5129488, 0, -934160, 0, 0, -4864696, 5438511, 0, -1612345, -3015856, 0, -11520, -2961924, 0, 8282239, 552128, 0, 0, -3190186, 0, -1942748, 2201616, 0, 3672496, 0, 0, 8517233, 388096, 0, 3068632, 3348654, 0, -2414173, -1528216, 0, 3151296, 5080880, 0, 0, 2282832, 0, -3350992, -4544718, 0, 3485365, 0, 0, -1123152, 3611120, 0, -1335517, -1212224, 0, -3966720, 794707, 0, -5686998, -4659892, 0, 0, -1934374, 0, -742428, -62752, 0, -6029148, 0, 0, 2021484, -3390420, 0, -1679296, -1130662, 0, 9655917, -1141504, 0, -2378680, 697994, 0, 0, 6590184, 0, -3631040, 574256, 0, -9882831, 0, 0, -5582856, 2931766, 0, -6594317, -6943732, 0, -2941584, 6080081, 0, 581446, -4320512, 0, 0, -4392549, 0, 5098580, 6896756, 0, 510464, 0, 0, 738021, 1401744, 0, -4380396, 8875374, 0, -3847634, -852112, 0, -97408, -5735373, 0, 0, -524288, 0, -9211344, 4570414, 0, -505794, 0, 0, -2736768, -12311034, 0, -5100431, -2233072, 0, -2461800, 16084620, 0, -7560030, 898884, 0, 0, -1814910, 0, 11024895, -4846272, 0, -7920188, 0, 0, 7873991, -12749900, 0, -348160, -16141708, 0, -6852184, -1234720, 0, -5105720, -7476404, 0, 0, 14385404, 0, -1088688, 15959693, 0, 1589935, 0, 0, -3506440, 1175437, 0, -19296332, -13175988, 0, -575488, 18667794, 0, -4086475, 4803552, 0, 0, -944896, 0, 7395966, 3446856, 0, 2794672, 0, 0, 10102887, 204864, 0, -14001252, -502019, 0, -32467691, -5226628, 0, 5270272, 1402122, 0, 0, 1551072, 0, -1608000, -14795790, 0, 21036874, 0, 0, -2478096, -9456476, 0, -12183682, 1811456, 0, -7770312, -1811334, 0, -14749690, -6943860, 0, 0, 7162924, 0, -22076745, 13441968, 0, -3556712, 0, 0, -5905008, -13961760, 0, -5167904, -1396720, 0, -11738591, -1703168, 0, 2781084, -3147243, 0, 0, -7559948, 0, -868352, 4295662, 0, -10237343, 0, 0, 16180480, 22465452, 0, -6402295, -11228876, 0, -2584832, 18100233, 0, 4198297, -2256384, 0, 0, -7894868, 0, 28149, -3124084, 0, -60736, 0, 0, 6043340, -15179008, 0, -14497712, -5678934, 0, -29496596, -6032792, 0, -1438480, 9321555, 0, 0, -6721280, 0, -14983932, -19890891, 0, 3590782, 0, 0, 4058368, 21212028, 0, -19150955, 6840608, 0, 24357168, -15018916, 0, -7835040, -6370032, 0, 0, -13436983, 0, -8661007, -782336, 0, -4103448, 0, 0, 2266852, -26683832, 0, 11299968, -6375420, 0, -1635516, -7903392, 0, 11669368, -10732740, 0, 0, -15656172, 0, 10733456, 15620344, 0, -18090780, 0, 0, 17141056, 11047880, 0, -21136801, -6375208, 0, 3313664, 857296, 0, 37393265, 4811680, 0, 0, -19264068, 0, -28048626, 178548, 0, 7161280, 0, 0, 28166720, -8681472, 0, -16264464, 30838493, 0, 3864260, -32829396, 0, 14982272, -20040944, 0, 0, 3552672, 0, 10313000, -12916308, 0, 7802676, 0, 0, -18591104, -4318624, 0, 41681081, 8283072, 0, 20517952, 20152470, 0, 31304614, 3736640, 0, 0, 25745032, 0, -30597346, 19458784, 0, -21754044, 0, 0, -11102990, 6449380, 0, 12063424, 12739623, 0, -20742600, 46080, 0, 11847696, -20696492, 0, 0, -33128956, 0, -2208512, 9819962, 0, 1794210, 0, 0, 12760744, 12424612, 0, -30310075, 7770992, 0, -8806464, 7734283, 0, 29624472, -14689984, 0, 0, -19687431, 0, -18527499, -34068932, 0, -1552384, 0, 0, -30535994, -12274528, 0, -13394616, -6346592, 0, -13218297, 9656692, 0, 6112864, -22395767, 0, 0, -12605184, 0, -20323520, -32330464, 0, -31915667, 0, 0, -9131328, -3215862, 0, 76556326, 13403968, 0, 18178872, -2902840, 0, -12931970, -13941460, 0, 0, 21125019, 0, 3445945, 4492608, 0, -14444480, 0, 0, -16243398, 5342068, 0, 4848896, -1191726, 0, 35286301, 15866880, 0, -3178828, -16007718, 0, 0, 22747992, 0, 18639568, 59201406, 0, 35385456, 0, 0, 7737496, 43578579, 0, 13231620, 2969712, 0, 251008, 21113634, 0, 22631993, 24116592, 0, 0, 10360698, 0, 42369793, -8085936, 0, 13561680, 0, 0, -57816195, 6717184, 0, 4522648, 69055386, 0, -13438959, -38623668, 0, 4566016, 20498472, 0, 0, 9514720, 0, -2791976, 6772340, 0, 11864194, 0, 0, -26360736, -8300533, 0, 15528384, 14524160, 0, -2297024, -17990602, 0, -45598223, 39531324, 0, 0, -38140046, 0, 42550332, 22331424, 0, -11727064, 0, 0, 73843964, 26377268, 0, 27774928, -6280163, 0, 42844336, 11766336, 0, -24320324, 30366429, 0, 0, -2325784, 0, 17282048, -5017968, 0, 11821146, 0, 0, 17570196, -59254440, 0, -11484742, -20394320, 0, -27587024, -27320728, 0, -37632386, -2041856, 0, 0, -11530436, 0, -12321107, -2952084, 0, -5606976, 0, 0, 5708540, 17521584, 0, -35501496, 1427508, 0, 13162348, 15390536, 0, 3408448, 92938407, 0, 0, 389632, 0, 22941492, -108979, 0, 13547304, 0, 0, 2097152, -16593834, 0, 47023249, 36845376, 0, -18281656, -59751468, 0, -12869374, 2023176, 0, 0, 14548680, 0, 6401312, 10947072, 0, 49244136, 0, 0, -23680436, 20401724, 0, 8932288, -4206556, 0, 24156875, 9847200, 0, -64338480, 38610598, 0, 0, 30240120, 0, -3595536, 20296813, 0, 34244464, 0, 0, 7259640, 59908849, 0, -82096799, -44099580, 0, 19385088, -60833072, 0, 21778413, 31680752, 0, 0, 93233094, 0, 57865128, -31495964, 0, 50999600, 0, 0, 50095526, 1392640, 0, 64566832, -97416875, 0, 46403787, 27408736, 0, 4938880, 39207866, 0, 0, 20422880, 0, 29905616, -15998764, 0, 17062560, 0, 0, -57541616, -84713289, 0, -27105994, 4354752, 0, -63838772, 36387559, 0, -81698680, -6359740, 0, 0, -42506108, 0, 8409355, 14025760, 0, -4701748, 0, 0, -13389244, 77185328, 0, 52703952, -29480998, 0, 17606379, 2301952, 0, -74671176, 45228280, 0, 0, 16345900, 0, -19214208, 72324326, 0, -19626143, 0, 0, 3779584, -88341030, 0, 66097122, -29583864, 0, -13787424, 22369344, 0, -65701850, -11178688, 0, 0, 83358135, 0, 55977344, -40411548, 0, -819456, 0, 0, -37090056, 56005008, 0, 2008076, -38927514, 0, 22594119, 129870764, 0, 20906512, -75468794, 0, 0, -21081088, 0, -5608488, -80675037, 0, 324000, 0, 0, -6204288, -10688486, 0, 17659608, 6432000, 0, 59183160, -64703624, 0, 6876721, -84147496, 0, 0, 79341697, 0, 130182040, 9912384, 0, 37825904, 0, 0, -76709016, 48734728, 0, -7245824, -54489048, 0, 75348252, 31081248, 0, 7245336, 24223410, 0, 0, 58998760, 0, 27775440, -25811811, 0, -28087627, 0, 0, -28651696, -56919378, 0, 56067628, 88306980, 0, -53767872, -84552920, 0, -95587444, 14226848, 0, 0, -9868010, 0, -25605676, 23620032, 0, 55847040, 0, 0, -34216863, 20671616, 0, 5586880, -69499194, 0, 129133354, 46954364, 0, 6812672, -31357012, 0, 0, -11124336, 0, 12588972, -60748170, 0, -130069965, 0, 0, 30239792, -41851137, 0, 104284144, 3473408, 0, -17182648, -7336629, 0, 56762310, 40949372, 0, 0, 30340992, 0, -125827430, -64721920, 0, -89861808, 0, 0, 11713417, 25609180, 0, 44915504, 54081791, 0, 11540387, 10339328, 0, -72400932, 137863769, 0, 0, -16793188, 0, 9025536, -58922322, 0, -161491494, 0, 0, 31579472, 127667316, 0, -115475903, -112596, 0, 12496336, 58353840, 0, 2504637, 242944, 0, 0, 25395933, 0, 84298975, -24173360, 0, 60716032, 0, 0, -60129857, 57990848, 0, 22715736, 99189900, 0, 164663731, 117986384, 0, 24131168, -258827554, 0, 0, 5753920, 0, -37286220, 48689961, 0, -91009948, 0, 0, 26885120, -78263888, 0, 29925246, 59935728, 0, 79563564, -154641506, 0, 85710471, -14363128, 0, 0, -136324364, 0, -50203017, -16233472, 0, -84848112, 0, 0, 42584481, 76603820, 0, -27362432, -100070198, 0, 166648347, -97428672, 0, 60075664, 52646208, 0, 0, 31340160, 0, 25480128, -14348151, 0, 54352359, 0, 0, 53747932, -109842408, 0, 204007394, 34644028, 0, 3129344, 57717348, 0, 170003020, 16413792, 0, 0, 56908556, 0, -143794031, -9067408, 0, 106735328, 0, 0, -176143773, -45199872, 0, 25501680, 105297867, 0, -183487502, 6542064, 0, 31613568, -205444838, 0, 0, -46677472, 0, 42930960, -9456874, 0, 52812761, 0, 0, 62624688, 9807979, 0, -907120, -42933824, 0, -62481376, -224776650, 0, 41837999, 72363120, 0, 0, -156626256, 0, -34532364, -68564224, 0, -44191520, 0, 0, 139807995, 84547204, 0, 25500832, -210373170, 0, -68493204, -13254656, 0, -3429184, -11708024, 0, 0, -149573060, 0, -19246720, -171281880, 0, 90767461, 0, 0, 77056272, 13470666, 0, 21569136, 112194504, 0, -714192, 132746529, 0, -71147520, -28645120, 0, 0, 155605344, 0, -208136741, -112666880, 0, 34725888, 0, 0, 35548670, 65057856, 0, -123353972, -100606546, 0, -50177640, -15457040, 0, 131317584, -74568426, 0, 0, -59929088, 0, 80163776, 157638202, 0, 6622718, 0, 0, -14210688, -59580776, 0, -48650129, -41252000, 0, 51665232, 135153158, 0, 175665213, -31210704, 0, 0, -128990888, 0, 165167092, 74364416, 0, 17274496, 0, 0, -89351896, -166724324, 0, -33132288, 204014488, 0, -157444436, -82071808, 0, -80609880, 148800576, 0, 0, -125218456, 0, -14946560, 40929689, 0, 193998176, 0, 0, -102980128, 242300086, 0, -15589867, 122389384, 0, -77835136, -332030686, 0, -124172312, 87016176, 0, 0, 69289800, 0, -246962085, 44411960, 0, -25797520, 0, 0, 141883037, -48253696, 0, -50958492, -31394231, 0, -207028101, 82970400, 0, -184320, -3528618, 0, 0, -47390784, 0, 82785968, 74236200, 0, 101368599, 0, 0, 132515824, -267914939, 0, -223943840, 8834048, 0, -39279848, 33702955, 0, 337811347, -7176840, 0, 0, -108641892, 0, 55180541, -51042976, 0, -49698448, 0, 0, -40279736, 121240300, 0, -31083968, 100488131, 0, -162345906, 35225856, 0, -30937132, 128047167, 0, 0, -118497888, 0, 58759936, 168193900, 0, -31691345, 0, 0, 78749724, -3598274, 0, -208376645, 74109996, 0, 136275728, 189505333, 0, -296969367, 6209536, 0, 0, 231815927, 0, -12366921, 122143976, 0, 49098112, 0, 0, 84037963, 53578464, 0, 25386368, 21980968, 0, -171958126, 52873188, 0, -38626768, -152686419, 0, 0, -24451456, 0, 89583068, 195485184, 0, -109941165, 0, 0, 50420736, 158825880, 0, -217994703, 81294080, 0, 129321856, 113312994, 0, 48013611, 127662668, 0, 0, 86096181, 0, -138496733, 36525312, 0, 12863448, 0, 0, -89375560, -306225304, 0, -53615872, -159711850, 0, -199140912, -72715488, 0, 11611360, 202367792, 0, 0, 51727880, 0, 55765840, 375267969, 0, -202900164, 0, 0, -84500076, -310880394, 0, -124380025, -13783780, 0, -17970432, 63822914, 0, -215567678, 57777920, 0, 0, 8777120, 0, -190825102, 64973592, 0, -21368272, 0, 0, -85488290, -19395584, 0, 4766904, -97428642, 0, -176307852, -141145204, 0, -63467520, -141138510, 0, 0, 12715312, 0, 64030872, 340729190, 0, 215749527, 0, 0, -90991968, 76617372, 0, -4717252, -74558272, 0, -236805624, 265911751, 0, -77590033, -141541824, 0, 0, 98956916, 0, 60762418, -30949984, 0, -174314316, 0, 0, 140973129, -52926480, 0, -11878848, 434913435, 0, -132479393, -1004032, 0, -84454536, 139167672, 0, 0, -90527972, 0, -96466368, -61991388, 0, 169134180, 0, 0, -41442792, 221697078, 0, -222551165, -169479172, 0, 32343744, 24286233, 0, -13818040, -54246720, 0, 0, 311831833, 0, 63620894, 231264780, 0, -26868736, 0, 0, -256407186, -18090592, 0, -276221544, -17505966, 0, -132023097, 53755836, 0, 154494672, -297563240, 0, 0, -18264064, 0, -81993888, -91480495, 0, -99215681, 0, 0, -38058880, -220023274, 0, 3844118, 11167904, 0, -27089360, -128044526, 0, 236026424, -47456776, 0, 0, -406622543, 0, -161882792, 105442944, 0, 33202132, 0, 0, -65469168, -62113536, 0, -58096640, -382360326, 0, 92498500, 9188096, 0, 71962408, 246043322, 0, 0, 182392892, 0, -158125296, -295531866, 0, -162138514, 0, 0, 152560184, 207779481, 0, -35503820, -170201328, 0, -89325696, 316201590, 0, 178297262, 46908256, 0, 0, 155199418, 0, -384514720, -295375856, 0, -105509072, 0, 0, 198876132, -111099712, 0, 25120652, -73875184, 0, 2838775, -171377344, 0, -47065344, -355163988, 0, 0, 97281296, 0, -121465716, -70140550, 0, -85910222, 0, 0, 9303136, -23729031, 0, -387993653, -69128192, 0, 20071872, -183363760, 0, -144046027, -47284584, 0, 0, -561927384, 0, 413721184, -70280784, 0, 237017760, 0, 0, 289550616, 45938968, 0, 81577280, -88864554, 0, 250265759, 110348096, 0, 109282912, -46673814, 0, 0, 150529544, 0, 8167424, -336436134, 0, 212992919, 0, 0, 46121744, -47383578, 0, 27483588, 49284428, 0, 11808336, -30026187, 0, 176569965, 22427904, 0, 0, -67458765, 0, -49515168, -22834160, 0, -70086336, 0, 0, 303793777, 142005984, 0, -5710032, 122936478, 0, -49535993, -52649392, 0, -61562144, -333955854, 0, 0, -13633792, 0, -371753628, -87671671, 0, -489421901, 0, 0, -1558528, -408712032, 0, 185910640, -91765968, 0, 435916, -92630162, 0, 438555466, -54189216, 0, 0, -378022433, 0, 289709736, -8388608, 0, 66375336, 0, 0, -166844891, -188092996, 0, -147381504, -122943880, 0, 372345206, 73126624, 0, 239005872, -218088942, 0, 0, 51477496, 0, -8092704, -103472500, 0, 619067259, 0, 0, -58194720, 450059126, 0, 340809865, -25605248, 0, -43788288, -522929170, 0, -252907664, -196976544, 0, 0, 90793052, 0, -160830113, 94721744, 0, -81606896, 0, 0, -64175796, -35729152, 0, 16826224, -287124843, 0, 162126084, -96627500, 0, -39388800, 97748460, 0, 0, 257353920, 0, -154442392, -739737220, 0, -321579746, 0, 0, -120960480, -249090058, 0, 214377244, 14382144, 0, -81187252, 233522417, 0, -152451900, -136977856, 0, 0, -606113010, 0, 107782195, -29038560, 0, -239635396, 0, 0, 521073153, 328387196, 0, 176398320, 519684867, 0, -13913595, -77540352, 0, 243332288, 751972570, 0, 0, -87113652, 0, -126723008, -86089894, 0, -351751920, 0, 0, -372932376, -60753180, 0, 212980108, -231460512, 0, 125983856, 566301136, 0, -334711382, -203998400, 0, 0, 120422994, 0, 145708848, -200382104, 0, -5570560, 0, 0, 145336507, -258267328, 0, 389667500, 594039568, 0, 415600000, -185615148, 0, -109634944, -229555972, 0, 0, -19755520, 0, -156831464, -148361367, 0, -62389085, 0, 0, -81691520, 1063922904, 0, 572424117, -119622464, 0, 63995056, -107934578, 0, 233146826, -68250240, 0, 0, 142459597, 0, 184944005, 230166464, 0, 338853156, 0, 0, -857117, 108423976, 0, -17419008, -49456920, 0, 134210060, 255355088, 0, -145550236, 171367252, 0, 0, 326794720, 0, 25438960, -17549495, 0, -402749557, 0, 0, 170024432, -83608838, 0, -517533476, -33637420, 0, -56103040, -347897448, 0, 325945635, 18806992, 0, 0, -95195808, 0, 687059182, 53556976, 0, -308741312, 0, 0, -692063147, -210815808, 0, 117923992, -43161250, 0, 435200258, -70425516, 0, -9207808, -389410378, 0, 0, 298684704, 0, -180913120, -296323146, 0, 215536486, 0, 0, -65383600, -14242537, 0, 10482876, 76856832, 0, -289297304, 229399419, 0, -597326075, 78504572, 0, 0, 165682416, 0, 341409063, -15118336, 0, 353364120, 0, 0, 360999778, -264388488, 0, 118335456, 547246641, 0, 31556756, 55149696, 0, -89477376, 158042810, 0, 0, 262807400, 0, 44714752, 105944678, 0, -36785560, 0, 0, -333432540, 626835738, 0, 99596840, -223909376, 0, 161646192, 605319387, 0, -294428552, 3277824, 0, 0, 143940975, 0, 92414827, 148360224, 0, -224020032, 0, 0, 277695694, -8032304, 0, 155710056, -269213064, 0, -90424547, -90376476, 0, -519483056, 218558751, 0, 0, -83626048, 0, 301875176, -275882840, 0, 165588646, 0, 0, 84324352, -365332528, 0, 589373884, 22433952, 0, 322700148, 248833428, 0, 88575589, -1296000, 0, 0, -361060452, 0, 241136753, 24817152, 0, 42753944, 0, 0, -79572771, -70638432, 0, -25728000, 51604996, 0, -193680466, -236732640, 0, 258814496, 617146364, 0, 0, -27506884, 0, 336589984, 415198446, 0, 515901359, 0, 0, -317366788, -21004665, 0, 121835365, -520728160, 0, -39649536, 668994820, 0, -237040992, -151303616, 0, 0, 521373556, 0, 506930914, 306836064, 0, -194938912, 0, 0, -140790240, 28983296, 0, 217956192, 597977797, 0, 83121336, -301393008, 0, -124324992, 306474994, 0, 0, -28981344, 0, -96893640, 354612368, 0, 802792216, 0, 0, -235995040, -83676049, 0, 484788069, -111101760, 0, 103247244, -1087975178, 0, -259827204, 112350508, 0, 0, -29160740, 0, -81650421, 114606784, 0, 227677512, 0, 0, -237408023, -224270512, 0, -353227920, -9034002, 0, 696948507, 215071488, 0, 338211680, 361251450, 0, 0, 382349776, 0, -56907392, -184529066, 0, 666398934, 0, 0, 39472040, 764897588, 0, -255629541, 102422704, 0, -94480128, -307646412, 0, 41020571, -223388160, 0, 0, 170704696, 0, 489813271, 136867452, 0, -82686464, 0, 0, 65691756, -22347520, 0, 277996776, 168367690, 0, -489885201, -516533416, 0, -187817456, -253167518, 0, 0, -27250688, 0, 125428048, -168390239, 0, -595871640, 0, 0, 44497344, 432586594, 0, -571000725, -50355888, 0, 242992680, 652537248, 0, -253186725, 520279860, 0, 0, 283834787, 0, -66788475, -120959168, 0, 167404548, 0, 0, -448952535, -417136576, 0, -13893632, -711311856, 0, 144301960, 68730592, 0, 29346516, 672527020, 0, 0, -227049240, 0, -163797488, 1393648011, 0, -85308795, 0, 0, -121363968, 457694496, 0, 332150574, 503309720, 0, 258887680, -348872082, 0, -489491480, 359447232, 0, 0, 221001928, 0, -531772503, -46853668, 0, -102436720, 0, 0, 83115392, -179662016, 0, -216327164, -151538828, 0, -409051026, -46161548, 0, -41357312, 716531398, 0, 0, 289603728, 0, -551455076, -92230550, 0, 928782439, 0, 0, 67172752, -920799342, 0, 548466754, -36102144, 0, 235689288, -235507018, 0, -229924752, 645965976, 0, 0, 327284678, 0, 655802340, -126317888, 0, -510669264, 0, 0, 575599317, 461903612, 0, 450384, -138203123, 0, -269645544, -49985344, 0, -233415360, 915761, 0, 0, -10018548, 0, -971776, 308198388, 0, -65158422, 0, 0, -101583732, 432479762, 0, -220769100, -337195900, 0, 96693440, 631178480, 0, 428830525, -242864128, 0, 0, 380719356, 0, -558322494, 240519428, 0, -231963392, 0, 0, -797043339, -90862944, 0, -396759600, 770867638, 0, 247890010, -658654924, 0, -471945536, -41922012, 0, 0, -96524672, 0, 1035310216, 268648555, 0, 181272819, 0, 0, -23015680, 381963612, 0, 487408963, 149144880, 0, -194759844, -939407200, 0, 175380497, 364039792, 0, 0, 108518202, 0, 44916597, -107540480, 0, 313055552, 0, 0, -755339405, -119700984, 0, -239742912, 47637592, 0, 374526845, -318254256, 0, 618566024, 377579364, 0, 0, -342841884, 0, 57452512, 151444345, 0, 240948604, 0, 0, 545297456, -440483982, 0, 71672086, 200812068, 0, 64933888, -285208536, 0, -39727408, 339392448, 0, 0, -341361534, 0, -420766887, -170337924, 0, -306415280, 0, 0, 178457268, 109449728, 0, 400280792, 306650960, 0, -931294662, -666593388, 0, 389714688, 408505136, 0, 0, -240302656, 0, -210584832, 315805592, 0, 301388005, 0, 0, -125360640, -303933117, 0, 1111367224, -101920512, 0, 57392604, 381552630, 0, -417040140, -217409436, 0, 0, -524960862, 0, -606129815, -214991728, 0, 439369632, 0, 0, 618873887, -816029576, 0, -138576112, 868645799, 0, 920897753, -12517376, 0, -230869392, -801071861, 0, 0, -680012080, 0, -65655168, -1017108902, 0, -241235058, 0, 0, -227634224, 1108340772, 0, -160365615, 575176124, 0, 36269632, 1077501943, 0, -269192200, -426941312, 0, 0, -145802255, 0, 947854140, 704575092, 0, 180799488, 0, 0, -119054542, -102006720, 0, -421191468, -139173204, 0, -332884565, 733950008, 0, -26168256, -755932973, 0, 0, -126454272, 0, 821779352, -1168629744, 0, -1225778496, 0, 0, 186709888, -415549540, 0, -108282276, -171723840, 0, 37827496, 254655142, 0, 740964219, -211251044, 0, 0, 324646499, 0, -82286013, -250498752, 0, -39231916, 0, 0, -947780070, 3628480, 0, 171735296, -656467656, 0, -160088864, 249925504, 0, 899106600, -220025554, 0, 0, -167351996, 0, -289452480, 929085019, 0, -464183964, 0, 0, 626505024, -426353787, 0, -240881063, 138129456, 0, 274256896, 21794028, 0, 32532679, 176766080, 0, 0, -490838978, 0, -367423442, -559231980, 0, -338188816, 0, 0, -375851665, -102003328, 0, 841492680, -619740135, 0, -412553080, 273972816, 0, 53018624, -1743402582, 0, 0, 13716736, 0, 46832096, -531334878, 0, 970462624, 0, 0, 598292240, 1373314076, 0, 371867939, 76986880, 0, 685127520, 59101799, 0, 217030968, -363069844, 0, 0, -26239260, 0, -842417566, -308225088, 0, -53882664, 0, 0, 387869581, -86276544, 0, -448778016, -483294495, 0, -1052182354, 2856768, 0, -530986116, -603980972, 0, 0, 284590080, 0, 114580480, 291335682, 0, -370457382, 0, 0, -622421376, -936000980, 0], "weight": 6, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [-4, 0], [0, 0], [16, 0], [27, -1], [0, 0], [0, 0], [-64, 0], [0, 0], [-108, 4], [-93, -5], [0, 0], [-184, -11], [0, 0], [0, 0], [256, 0], [180, -20], [0, 0], [-904, 39], [432, -16], [0, 0], [372, 20], [-1620, 4], [0, 0], [4, -53], [736, 44], [0, 0], [0, 0], [-2199, -61], [0, 0], [1079, -164], [-1024, 0], [0, 0], [-720, 80], [0, 0], [0, 0], [10268, 51], [3616, -156], [0, 0], [-1728, 64], [-4440, 66], [0, 0], [7970, -87], [-1488, -80], [0, 0], [6480, -16], [-17034, 156], [0, 0], [0, 0], [-16, 212], [0, 0], [-2944, -176], [-24507, -225], [0, 0], [9489, -37], [0, 0], [0, 0], [8796, 244], [28347, 41], [0, 0], [33770, -32], [-4316, 656], [0, 0], [4096, 0], [21432, -102], [0, 0], [38030, -337], [2880, -320], [0, 0], [0, 0], [5166, -1340], [0, 0], [-2038, 875], [-41072, -204], [0, 0], [-14464, 624], [0, 0], [0, 0], [13799, -986], [6912, -256], [0, 0], [17760, -264], [1359, -1769], [0, 0], [52860, -700], [-31880, 348], [0, 0], [5952, 320], [-88386, 210], [0, 0], [0, 0], [-25920, 64], [0, 0], [68136, -624], [-118008, 1918], [0, 0], [-63721, -1981], [0, 0], [0, 0], [64, -848]]}