# Trace form for 825.6.a.h, downloaded from the LMFDB on 13 November 2024. [0, 3, -2, 27, -20, 0, -18, -152, 24, 243, 0, -363, -180, 546, -8, 0, -1360, 314, -162, 1808, 0, -1368, 242, -4288, 216, 0, 812, 2187, -5888, 5582, 0, 6328, 736, -3267, 11596, 0, -1620, -16866, -9584, 4914, 0, 23282, -72, -20572, 2420, 0, 16592, -3432, -12240, 11531, 0, 2826, -21816, -16138, -1458, 0, 15648, 16272, -17460, 21972, 0, 8322, -5056, -12312, 22208, 0, 2178, 84332, -59832, -38592, 0, 50528, 1944, 53838, 79212, 0, -52448, 18392, 7308, 6364, 0, 19683, 68020, -96272, -52992, 0, 143152, 50238, -2904, -38938, 0, 104968, -24000, 56952, 49088, 0, 6624, 103242, -9554, -29403, 0, 67710, 104364, -25192, 7792, 0, -197620, -111896, -14580, -64366, 0, -151794, 458880, 78538, -86256, 0, 41944, 44226, 82008, 348928, 0, 43923, 225060, 209538, 12896, 0, -648, 222216, 91520, -185148, 0, 342636, 21780, 280104, -440376, 0, -212560, 17226, 149328, -315248, 0, -30888, 717872, -66066, -110160, 0, -105100, 103779, 272824, 176294, 0, 322196, 329856, 25434, 968, 0, -196344, -41610, -311160, -145242, 0, 528672, -13122, -523604, -640856, 0, 32024, 53036, 140832, -662267, 0, 146448, 258352, -827242, -157140, 0, 164560, 197748, 896348, 963212, 0, 602050, -318240, 74898, -313664, 0, -45504, -37994, -145184, -110808, 0, 1871856, 199872, -155282, 444724, 0, -31412, -209202, 19602, -310288, 0, 758988, 1009692, -800120, -538488, 0, 1201648, -347328, 732704, -218768, 0, 850016, -226728, 454752, -573400, 0, 17496, -741648, -8780, 484542, 0, 1192228, 712908, -680992, -1011840, 0, 1555460, -2230296, -472032, 710370, 0, 165528, 271024, 1581586, 65772, 0, 449552, 57276, -2120752, 2497616, 0, 708262, -29282, 177147, -601592, 0, 612180, 1089896, -36096, -866448, 0, 2631996, -476928, 518848, -1558872, 0, 1637120, 1276210, 1288368, -864208, 0, 452142, 374024, 1700196, -26136, 0, 808080, -350442, -1285200, -2449254, 0, 2053012, 2713248, 944712, -2989596, 0, -216000, 3244554, 3129472, 512568, 0, 145602, 441792, -251052, -1551360, 0, -98252, 1999320, 59616, 339321, 0, 929178, 2427576, 1744814, -85986, 0, -2358800, -264627, -4471156, 259344, 0, -803088, 5310232, 609390, 1710592, 0, 939276, 2498484, 712448, -226728, 0, 3859624, 70128, 1794314, -2204308, 0, 350160, 3602414, -1778580, -675422, 0, -1007064, -2330752, 1403784, -131220, 0, 2035608, -579294, -1181616, 1148784, 0, 2712180, 2950208, -1366146, -1430240, 0, 4129920, 3112518, 128370, 706842, 0, -765688, -776304, 1631168, -4031232, 0, -4626428, 622024, 377496, 1233442, 0, 398034, -89056, 1675370, 738072, 0, -1818344, 3140352, -3769000, 2015584, 0, -3009929, 3372788, 395307, -2503264, 0, 2025540, 3515312, 4449280, 1885842, 0, 4867248, 116064, -4619798, -1403116, 0, -1001728, -535332, -5832, -4440380, 0, 1999944, -2449440, 5091056, 823680, 0, -4579244, -1666332, -5712408, -3033254, 0, 4064576, 53592, 3083724, 3454676, 0, 196020, -975346, 8452096, 2520936, 0, -10851514, -3963384, 89680, 5189656, 0, 2553888, 2040786, -1913040, -3050538, 0, 155034, 4997024, -6409088, 1343952, 0, -2690368, -2837232, 1159664, 3128940, 0, 4765986, -116784, -277992, 6374128, 0, 6460848, 2196464, -530400, -594594, 0, 88728, -991440, 6728858, 566880, 0, 2438280, -1922288, -945900, 13015220, 0, 934011, -2513144, 1751092, 2455416, 0, 10059440, 1586646, -10584064, -1384882, 0, -2817122, -8618136, 2899764, 5597176, 0, 2968704, 1661238, -3629132, 228906, 0, 6451774, 8712, -2638432, -6523680, 0, -2088564, -2502108, -1767096, 4019408, 0, -374490, -3722656, 2489212, -2800440, 0, -3388800, -1307178, -3698832, 12218592, 0, -6021068, 1663340, 4758048, -292820, 0, -118098, -11211416, -5298224, -4712436, 0, 6983588, -5767704, -5384516, -962288, 0, -5926528, 1591440, 288216, -10815292, 0, 477324, -17161752, -3399764, 1267488, 0, -2007632, -5960403, -5362304, 10977930, 0, -23838680, -10134016, 1318032, 7574468, 0, 2325168, 415272, -7971344, -7445178, 0, -9729346, -1414260, -4822164, -7950032, 0, -22841760, -2453088, 1481040, -8622181, 0, 1779732, -9148512, 13753028, 8067132, 0, 12876960, 8668908, -15647612, -1395251, 0, -19848382, -11498856, 5418450, -10315072, 0, -2864160, -1463980, 11646696, 674082, 0, 1334544, -2822976, -1216568, -7896708, 0, 1677088, -21191122, -409536, -5818432, 0, -341946, 290260, 21415152, -1306656, 0, -11522960, -997272, -18210368, 12853042, 0, -25975608, 2639736, 16846704, -15718752, 0, 1798848, 32753682, -13861990, -1397538, 0, -12787176, 4002516, 1952698, -3204464, 0, -17447196, -6547380, -282708, 1101680, 0, -1882818, -3510560, -8813374, 176418, 0, -5891976, -2792592, -3592512, 13166832, 0, -18296922, -16777248, 6830892, -19041488, 0, 9087228, 4470552, -3898624, -7201080, 0, 2704208, -4846392, -18709030, -2917776, 0, -1893408, -17178734, 10814832, 8079444, 0, -3125952, -1828512, 11984096, 6594336, 0, -5420476, -1968912, -8823016, -2458140, 0, -28763216, 7859424, 7650144, 245484, 0, -2040552, 1219778, 2112660, 4092768, 0, -574706, -5160600, 23615740, 6546688, 0, 1109808, -32391592, 157464, -2658612, 0, -6674832, 6126960, 22716598, -79020, 0, 13968160, 4360878, -7877792, 20977284, 0, -27363662, 7690136, 10730052, -4486560, 0, 6416172, -13799312, -5081936, -6128928, 0, -1006962, -9106560, -12705650, 13681380, 0, -5135116, -3684714, 13999140, 30111200, 0, -20072664, 611776, -18418772, -4248288, 0, 747728, 6393330, -1603520, 3081684, 0, 1090476, 8167224, 1489752, -17498200, 0, 2439216, 38967204, 25109892, 14234274, 0, 13769558, 591948, -28551584, -2687168, 0, -10384556, -54532648, 4045968, 1590402, 0, 515484, -20526544, -11786848, -19086768, 0, -3174800, 22478544, -38123984, 29698272, 0, -44442928, 1419814, 6374358, 15504904, 0, -263538, -35889560, 11398016, 1594323, 0, 6613848, -5414328, -13851190, 31785712, 0, -11041536, -10204172, 5509620, 9980960, 0, 9809064, 25957616, -27134724, -324864, 0, 20506028, -7798032, 7239672, 20097272, 0, -12696424, 9469824, 23687964, 5018984, 0, -4292352, 8194430, 24648424, 4669632, 0, -16979726, -14029848, -11948048, -20105984, 0, 22812480, -7281400, 14734080, 16861870, 0, 11485890, 19284728, -1188546, 11595312, 0, -3505264, -7777872, -33432540, 26594224, 0, -6113888, -34083936, 4069278, -7713488, 0, 3366216, 29880940, -11020776, 15301764, 0, 47498768, -235224, 12488476, -38925860, 0, -21206400, 16639102, 7272720, 14411488, 0, -3153978, 7323420, -6514398, -11566800, 0, 3962048, -22043286, -40275728, 55230042, 0, 25341136, -6616480, 18477108, -9584652, 0, 24419232, -37926296, 11481660, 8502408, 0, 8729382, -26906364, -32368808, -43035584, 0, -8330848, 21413256, -1944000, -386054, 0, 29200986, -16934784, -1504230, 28165248, 0, 6346208, 4613112, -56198472, 17812968, 0, -43279803, 20610324, 1310418, 18861792, 0, 3976128, -2225432, 32705632, -2259468, 0, 26684096, -13962240, -21007382, -36488048, 0, 19801504, 366114, -884268, -2538028, 0, 17993880, 47428880, 4713872, 536544, 0, -11068076, 3053889, -7481280, -770044, 0, 28497608, -3085936, 8362602, 15485984, 0, 21848184, 79860274, -6265944, 15703326, 0, 1470462, -773874, -29284900, -24536816, 0, -39241560, 11327172, -21229200, 28692848, 0, -2381643, 3742912, -386256, -40240404, 0, 23773696, 2334096, -16084980, 16123680, 0, -8182444, -8230420, -7227792, -28201520, 0, 47792088, -11550572, 26388000, 5484510, 0, -7190896, 15395328, 11648912, -66374284, 0, -25733688, 22332528, 8453484, 17554388, 0, 22486356, 21370556, 34078464, 6412032, 0, -32972496, -2040552, 15186112, 16237918, 0, 4886224, 37443944, 34736616, 30233080, 0, 631152, -646866, 46643072, 16148826, 0, 48856150, -19838772, 2321488, -46431424, 0, -17321392, -15766220, 3151440, -43979948, 0, 32421726, 57784384, 91473418, -16007220, 0, -6861952, -6078798, 57089136, -71177904, 0, -69233885, 435192, -9063576, -42274024, 0, -20976768, -30256224, 351384, 12634056, 0, -70746644, -1180980, -1172200, -79542720, 0, 19430176, 75632754, 18320472, 4711498, 0, -5213646, 15290600, 11280664, -10634544, 0, 45159208, 10339056, -39098528, 43062592, 0, -21167128, 9631744, 24409620, -114172960, 0, 26551872, -17175366, 41120712, -12295314, 0, -12701128, -12872160, -18830952, -28443024, 0, 105507168, 38539792, 37169280, -38852186, 0, 28012662, 2904000, 69416358, 1155330, 0, 49039840, 6361578, -25323068, -97406292, 0, -35797158, 33092352, -6891192, -85595136, 0, -6986736, -7012880, 2806728, 14680512, 0, -553072, -36281088, -30471402, -5939648, 0, 62971008, 58213020, -41637852, -10238960, 0, 5598216, 14841804, 58097448, 3397464, 0, 71169072, 11100978, -2795872, 5420374, 0, 33524984, -2266224, 3582306, 37381152, 0, -801504, 75924936, -48940946, 15078330, 0, 26671282, 6642648, -2987552, -11051712, 0, -15204776, -12492282, -16365096, 152342810, 0, 28263168, 14549696, -27800308, -33921000, 0, 48186920, 18140256, 1156034, -62022416, 0, 19908512, -22349132, -27089361, -10282384, 0, 30355092, -37819360, -42619776, 3557763, 0, 47025572, -22529376, 50208606, -10603456, 0, 60001872, 122514458, 18229860, 88260800, 0, 31637808, -20841888, 29134008, 40043520, 0, 45674608, 16972578, -32870936, 23571530, 0, -8192910, -83413440, 43805232, 10528692, 0, 1044576, 37784122, -3506960, -41578182, 0, -31855600, -12628044, -68753988, -41248024, 0, -2589400, -18921056, -9015552, -97873786, 0, -4817988, -5804304, 3048232, -52488, 0, 21056512, -39963420, -61671004, 2695864, 0, -5707568, -7674576, 17999496, -942832, 0, -22044960, -23697808, -72480480, 45819504, 0, -321080, 7413120, 42182274, 4783492, 0, -3239100, 34654228, -41213196, -1220432, 0, -14996988, 24315792, 150905784, -51411672, 0, 23912020, -27299286, -178235680, 43721832, 0, 47349956, 36302936, 36581184, -132407608, 0, 482328, 13539416, -22711136, 27753516, 0, 153652450, 31092084, 109761128, 6995136, 0, 96323644, -48867792, 1764180, -4851276, 0, -8778114, 132745264, 9123386, 76068864, 0, 12774976, 22688424, -47408192, 7788286, 0, 27602462, 11308652, -97663626, 80124288, 0, -35670456, 161218160, -118336224, 807120, 0, 57603904, 46706904, 13741390, 100433160, 0, -62781952, 95147202, 22984992, 7689728, 0, 18367074, -8765120, 25839212, -17217360, 0, 96061516, -27454842, 44522288, -38943850, 0, 147711796, -55524480, 1395306, 85482292, 0, 44973216, 38266614, -129321256, -57681792, 0, -155161364, 12095568, -9503098, 43719392, 0, -137672304, -45642240, -24213312, -37807850, 0, -25535088, -81850520, -52075984, 10436976, 0, 80365296, 28160460, -55732168, 215470068, 0, 116531612, 112996448, 42893874, -15048512, 0, -1051056, -208191872, -9103112, -2501928, 0, 22401440, 57367152, 145296944, 5003308, 0, -5075224, -35509810, 58147632, -39366384, 0, 19768176, 178054892, 87876032, -4773600, 0, -127911880, -5351346, 39479552, 90476970, 0, 44061260, -90879648, 798552, 73020880, 0, -8922960, -41022858, -9922968, 60559722, 0, -129868598, 5101920, 9137432, -56684448, 0, -3589908, 35134300, 21944520, -42220288, 0, -17300592, -78923968, -94157444, -8513100, 0, 1401920, 117136980, -56910456, 60626592, 0, -118678978, -4464236, 8406099, -99236208, 0, -22618296, 62226520, -84597760, 15759828, 0, -5314683, 22098744, -31918288, 75489920, 0, 48937728, -27321136, 90534960, -95174976, 0, 14279814, -27232260, -57351184, -95256576, 0, 122505108, -12463938, 82704024, -18983408, 0, -100786760, 22570280, -25354098, -151083212, 0, -77563224, -45218432, -113850576, 26097876, 0, 37725458, 50374584, -25363936, -1560416, 0, 220105416, 62035752, 26718336, -2868563, 0, 14951142, 80145344, 74092982, -32662188, 0, -10374400, 2060154, -13323432, 83612896, 0, -230853598, 87831288, 58065966, 133059344, 0, 78408, -100746184, 33648800, -23745888, 0, 2909120, -58713120, 138385744, -54393192, 0, -26034936, -26888136, -18797076, 105351380, 0, -22518972, -39273476, 48636608, -15903864, 0, 43377056, 36174672, -11073920, 88149486, 0, -140287800, -89176536, -3370410, -97798400, 0, -33503904, -50494580, 20872980, 22402908, 0, 25196670, -25203960, 150079840, 106163552, 0, 50030656, 107252920, -30499200, 88401826, 0, -11764602, 88764512, 175519034, -33289488, 0, 17167488, 109967328, -23088992, -268785520, 0, -41458956, -122395424, -54189612, -59329604, 0, 14970060, 213307432, -139897072, 42822432, 0, -259378980, -2635380, 171360974, 33804912, 0, 61353600, -15909504, -1062882, 71230664, 0, -100902744, -103597152, -33892584, -47684016, 0, -133349524, -42411924, -96301568, 173329628, 0, -221997036, -64662528, 62852292, 53285496, 0, -51909336, -236313112, -54724224, -48460644, 0, 42962010, -8660592, -31133788, -45261056, 0, -167142512, 26797204, -53338752, -298822186, 0, 14322960, -42613464, -27019938, 2593944, 0, 25719760, -97337628, 78872848, -150212756, 0, 29347840, -112362192, 4295916, -33280000, 0, -154455768, -2084346, -8557520, -30597876, 0, 40441760, 11407392, 213267524, -41612196, 0, -57576304, -153670028, -18068688, 27013400, 0, -53643627, 246026564, -5795428, -48260736, 0, 24382928, 98801370, 63871744, 38145008, 0, 375069024, -188853632, -214548120, 27959952, 0, -91206144, -28888820, -220610052, 11862288, 0, -143819872, 68170212, 244789784, 93376144, 0, -138491748, 80183936, 20926512, 175496186, 0, 3737448, 218114464, -200154310, -71742096, 0, 175532264, -67006602, -55881568, -122008784, 0, -26557504, -86862512, -87564114, 69052672, 0, -12728340, -174088368, 9703904, -43399476, 0, -256209516, -71550288, 7993986, -8299680, 0, -69668528, -172110808, -205575840, -244910696, 0, -22077792, -290892080, 177739540, 13329360, 0, -24938424, -77599629, 174756216, -5045560, 0, 283049992, -186798976, 16017588, 190008460, 0, -82336608, -214347870, -70388448, 123777252, 0, -51731550, 72604188, 148830416, 51495512, 0, 12717100, 189949896, 115892640, 193616398, 0, 78020172, -18282304, 50967758, -140828508, 0, -380348960, -12557259, 73950276, 4276652, 0, -80133630, -217699328, -178635438, -39073024, 0, -103489704, -464986012, -33011704, 48766050, 0, -444800320, -92835648, 98201312, 54191120, 0, 175261656, -197698970, -25777440, -21331574, 0, -13175820, -222642436, -60934576, 104820264, 0, -35771408, 6066738, -296923264, 346989692, 0, 112328488, 33571584, 12010896, -73186840, 0, -25406784, -124079890, -73114108, -10949112, 0, -38985716, -71070372, -113154616, 133924608, 0, 55705740, 65542080, 15093792, 92425922, 0, -190720098, -39912576, -188172960, -3685824, 0, -44230160, -52365888, 397781120, -219692208, 0, 128070001, -49532046, -3077514, 126917256, 0, 2612340, 240196272, -54854016, 192736368, 0, -46141216, -11759904, -261087174, -117128, 0, -15425856, -243074454, -103706640, 117720756, 0, -8975448, -178775392, 172631144, -163893312, 0, -324827572, 115677378, -16387968, 97981682, 0, 74308408, 142939008, -233780472, 325977980, 0, 23757624, -176235828, 212281880, 151620336, 0, 119857878, -141468768, 28098252, 68109472, 0, -95144352, 5034810, 16189632, 193130736, 0, 294783138, 16535720, -334857978, -124757910, 0, 16889472, -12577842, 37650360, 30660656, 0, -113743782, 1996304, -115084584, -81680352, 0, 36022644, -422068804, 331328, 17574282, 0, -126031200, -28840176, 66788314, -140455300, 0, 67456368, 58942128, -157024764, 80872316, 0, -58926420, -163059892, -115892000, -2544372, 0, -97192, 9915120, 90828192, -56314588, 0, -63969312, 231153808, -16945362, 279734064, 0, -31595040, -322214786, 161100544, -79320366, 0, -229230660, 1587762, 82525624, -272806336, 0, 16542240, 113392364, -53027784, 224157538, 0, -25133328, -43620352, 63356084, -32332608, 0, -236826952, 118501488, -54591072, -211327888, 0, 326299174, -55418184, -164672298, 77543576, 0, -150995232, -43363640, 366240672, 61478028, 0, 143815292, -171373392, -56288786, -192901864, 0, -155969824, -73781744, 81785052, -18942024, 0, 40234968, 303783232, 345298540, -35087616, 0, -3874904, -64809720, 62783576, 85499200, 0, -75071008, 136034192, 24337872, -132210752, 0, -43617528, -6417356, -177557176, -168381270, 0, -4465416, -26259984, 244443856, -298062632, 0, -52045536, 12544412, -17040672, -24881057, 0, -154608606, 225409600, -122890404, 97333488, 0, 109513088, 72714996, 269930892, 80134307, 0, 768413570, -38843056, -28133568, -54366160, 0, -16456608, 34769100, -133889200, 107856864, 0, -142951736, 59349024, -259080454, -35684892, 0, -317267392, 465081382, -48784284, -242632912, 0, -17720208, 41696268, -1845168, -79407144, 0, -143599360, -22123260, 74207616, 252937378, 0, -8106448, -31260592, -258868944, 112774712, 0, 70734816, -59491816, 128947816, 68851296, 0, -183918206, 2209356, 100096282, -38254080, 0, -187649092, 293370492, -18364968, 23132432, 0, 10978002, 57348416, -200063054, 19013940, 0, -245160768, 36834912, 510906576, -406877792, 0, 642727308, 39366718, -5172354, 247338576, 0, -46445400, 89410464, 20976240, 212541660, 0, -67689756, 58920192, -106881942, 36620056, 0, -19911760, 114174396, 9988272, -37140568, 0, -291524328, 166434776, 150799720, 1417176, 0, -405632464, -23927508, 307935648, 125935966, 0, -144175512, -117185472, -60073488, -63159212, 0, 55142640, -440423008, -108458108, 204449382, 0, -211048612, -711180, 394889888, 105136464, 0, 360121776, 302060952, 125713440, -116548652, 0, 39247902, -71091344, -576420658, -70900128, 0, 78983616, 188795556, -321728512, -269765356, 0, 152506640, 609713248, -246272958, 117743104, 0, 69211224, -305825484, -46776128, 96570468, 0, -72848050, -40379040, 132430, 513245644, 0, 127763536, -568736802, 57745548, -293763852, 0, -124193808, 38507040, -477721372, -45737424, 0, 182460016, -55160352, 474247200, 66527170, 0, -137510308, -33847376, -9062658, 76519424, 0, -81959040, 390105826, 411373132, -114350850, 0, 72721584, 123132420, 85829608, 37953344, 0, 64168716, -32909956, -46216044, -282882806, 0, -33162426, 161733760, 94848840, 125992260, 0, 200880360, 271000800, 2034008, -390923024, 0, 163145892, 476734404, -180653976, 138252320, 0, 5505984, 284915488, 389847040, -165768948, 0, -345912480, -38234592, -375187318, 24374464, 0, -248327600, 4597274, 6729552, -96452144, 0, 57539970, 175864048, -220379100, -14431680, 0, -450408556, 27735156, 17567264, 632573210, 0, -134561760, 117996608, 9814284, -184862488, 0, 73505016, 121850656, -52286064, 13407768, 0, 158426882, -157483800, 314231132, -423519560, 0, 560238560, 977772732, 21952944, -120291842, 0, 350704836, 203775952, -101608288, 225989028, 0, 142677696, 128108466, -14140676, -190992764, 0, -226494576, 255576176, 123926022, 603297024, 0, 5327532, -71838476, -78772224, -256964256, 0, 91692200, -24184512, -239325342, -906908112, 0, 234530380, 323662596, -93461004, -142670984, 0, -490793832, -41808076, 18789122, 36413712, 0, -77697544, 14313618, 248929920, 338443706, 0, 496358096, -366311600, 4639356, -53811604, 0, -184738896, -528037206, -271375484, -106081632, 0, 640736790, -171780912, 441456960, -15809408, 0, 229216376, 224636544, -28573200, -591961088, 0, 202306896, 400541392, -704622414, -343115856, 0, 3800852, 267284448, 68139824, 67859280, 0, -285121434, -146081728, -399986352, 124145608, 0, 12778326, 25313442, 293260448, 57369222, 0, 97883768, 139544136, -129854540, 287198944, 0, 616051456, -739005472, -2371842, 298726404, 0, -323006040, 401223656, 118754696, 102582144, 0, 755876732, 14348907, 110277104, 37544848, 0, 480293264, -571155552, 59524632, 218518044, 0, -48728952, -140042940, 230780048, -124660710, 0, 57152576, 286071408, -34107164, 22051200, 0, 273892960, 540089500, -99373824, -634647245, 0, -91837548, -43501664, -220892818, 49586580, 0, 208980400, 89828640, -421680860, -316627568, 0, -388038, -122172732, 88281576, 73270272, 0, 233618544, 417755992, 33789656, -244212516, 0, 168111648, -2923776, 96814520, 502671692, 0, 292546816, -256309162, 184554252, -300140884, 0, -70182288, -102056864, -315361128, 65157048, 0, 285475272, 180875448, 70874320, -211970228, 0, 1182500688, 48252928, -114267816, 78339344, 0, 85228416, 74649940, -523856324, 213191676, 0, 546343728, 45170856, 279930640, 340276736, 0, -145399408, -283739564, -38631168, -149065910, 0, 73749870, -294766848, -368305014, 221835816, 0, -267495704, 42026688, 314430704, -365197112, 0, 132056462, -208937792, -152817534, 417711936, 0, -126268632, -975115168, -88657184, -107532432, 0, 81662792, -180953856, 354384934, 202829824, 0, 537102336, 114365282, 205312320, 26470928, 0, -65532600, -362710128, -20958600, 132606720, 0, 896389956, 151756830, -144687992, 704504870, 0, 137542872, 386470216, 103373010, -113843976, 0, 173562552, 425046400, -12072832, -10696914, 0, -102851936, 104357808, -206505520, 396555936, 0, -9224312, 106553560, -31547376, -996536436, 0, -70000848, 27434088, -367612218, -300892860, 0, 426644288, 239348016, 152161296, -264180796, 0, -542655246, -694991064, -55024992, 374040080, 0, -306755424, 680230820, 461043568, 36623502, 0, 650513984, -69421392, -258611076, 69381400, 0, -18201152, -682167570, 30295944, -1069765272, 0, 268928460, -128413260, 337646488, -99186984, 0, -36197400, 137715876, 270834560, -15645408, 0, 94887096, 415790632, 427488912, 494415336, 0, -2117016, 90737682, 218808936, 112396284, 0, 29284674, -350332740, 562184808, 323530336, 0, -275647948, 89739408, -190857600, -601861094, 0, 149751918, 68816128, -832844670, 65454480, 0, -476146240, 129703392, 1062380, -344299464, 0, -994697005, 555166012, -28385802, 3113816, 0, 65910780, 2764584, 328788480, -58629582, 0, 830307804, -104101200, 543985144, -382830144, 0, 623173696, -602787070, 35658432, -35917432, 0, -198389574, 739303664, -520479512, -362481552, 0, 57090668, 497070378, -21342272, -204847368, 0, -144259588, -2912256, 228070224, 428570700, 0, -59548320, -249520046, 211422240, 166293972, 0, -181887974, -86261868, -105976784, -32056128, 0, 368504656, 541028856, 219773088, 27353936, 0, -341336664, -217702808, 82400032, 103334940, 0, -67310464, 76521672, 749966492, 30323788, 0, 123364816, -682456824, 78564438, 122432640, 0, -242157276, -1032920628, 313001352, -291319272, 0, 584545456, -387320256, 772434378, -457294148, 0, -309923184, 554028126, -74977632, -1055197832, 0, 192719304, 872499352, 485093392, -17496000, 0, -188210660, -3474486, -128871424, 408518832, 0, -39914992, 74660416, 262808874, 421447248, 0, -152413056, 269865816, 316810988, -13538070, 0, 503000092, 253487232, -329266856, 272410832, 0, 456534144, -11188864, 57115872, -388930012, 0, 41518008, 599912032, -81847632, -505786248, 0, 631351888, 160316712, -176990456, -85954770, 0, -795557146, -186831160, -389518227, 466778624, 0, 185492916, 771928136, 112111232, 11793762, 0, 823728668, 169756128, -241391092, -356530960, 0, -75125264, 174675632, 35785152, -125019084, 0, -20028888, 235895008, 333216244, 294350688, 0, -218484128, -20335212, -61696568, -474455810, 0, -264918268, -32793904, 240156864, 226527564, 0, -125660160, 521710182, 206937120, -189066438, 0, 207553180, -328392432, -191371906, -416019400, 0, -1007797784, 1616121600, 178213536, 147698784, 0, 3295026, -406133968, -64440896, -7958412, 0, -740344320, -22842252, 367680452, -373399908, 0, -344731524, -441448088, 161944920, 116993856, 0, 426859920, 408061552, -199651552, 42424848, 0, -828457872, 4828896, -375097162, 604991508, 0, -54395792, -80494298, -99612684, 513406912, 0, 27485001, 183644708, -151598880, -67331520, 0, -1312335408, -6930396, 35766976, -448858054, 0, 681030536, -218185256, 256478472, 261538856, 0, -27773424, -781997290, 256610992, 75263418, 0, -929545662, 139373856, 252215224, -248025472, 0, 223583304, 242841728, 196633656, -302211536, 0, 718742466, 190203520, -430805286, -56393496, 0, 457462032, 141329934, -832550000, 88468416, 0, -603101040, 39639820, 13234158, -64360312, 0, -6964866, 147139248, -81943712, -263564100, 0, -85699702, -220831344, 748798048, -167145960, 0, 314449792, -927770358, -353174040, 667301624, 0, 101944548, 3543122, -539339128, -191062800, 0, 383201440, 258235632, -137582784, 228278884, 0, -532032168, 285381568, -21434787, 95991328, 0, 33686208, -254692554, 162692224, -3476304, 0, 759185296, -362163636, 70607900, 72792632, 0, 237071968, -471830336, 213963264, -661454618, 0, 21006864, -123439368, 614411046, -144764820, 0, -623187120, 145113120, -140124448, 49392204, 0, 269322028, 801756576, -73641996, 845061072, 0, -74073780, -444276, 155082168, -65050128, 0, -395549256, -253813680, -755060202, 90087232, 0, -556892096, -131877416, 430128792, -554444396, 0, -103955148, 300208804, -801789088, 237492000, 0, 189029152, 49360590, 4367616, 226259230, 0, -9054764, 57820720, -64718064, -76267632, 0, 138557952, -731480288, -373649182, 104840208, 0, 311213750, -597368556, -316572184, -220375104, 0, 83422540, 696420440, -231603192, 711886746, 0, 200992752, 356600576, -637232886, 76081356, 0, -184176176, 157989492, -562472208, -179995568, 0, -318471516, 41598084, 202377204, 490877872, 0, 192335004, -602989440, 392182368, 306706176, 0, 1558616, 57708288, -63981632, -296989712, 0, 407723424, -481294998, -296752464, -977517632, 0, -18364968, -67723696, -62780608, 136675008, 0, -1334852704, 146141262, -712856304, -21960858, 0, -16966908, -680609712, 43976016, 188623512, 0, 336995496, -433213074, 767863672, 312629544, 0, 275785698, 272097720, -1033200516, -529385800, 0, -511167520, 710757840, 5680368, -327021091, 0, -5821794, 638055488, -261007116, 419787648, 0, -198091520, 145339434, -834676116, 1133401492, 0, 104357760, 168207744, 439705350, 428911760, 0, -178548948, -154421410, 623789088, 20893392, 0, 997846048, -417882816, 285376390, 65086984, 0, -923861624, -280981986, -155892528, 98437920, 0, -141895980, -84821844, 501839652, 28362960, 0, 319496640, -395819532, -461963328, 104569168, 0, 919095888, -96795776, 291795534, 227003272, 0, 520059456, -456384978, 1059274452, 823260762, 0, -223230086, -144064980, -1112241888, -518406976, 0, -113189628, 192039536, -61757568, 240963424, 0, -54709182, 984762560, 416293958, 513802224, 0, -104600512, -640601136, 170159056, -572683032, 0, -1480867552, -45256904, -623104965, 759215424, 0, 3916728, 271065240, 151142712, -81572184, 0, 114625172, -380466216, -205723716, -104167192, 0, -1486742240, -483886278, -188790912, -89386736, 0, -272306016, -104774456, 128115724, 3162456, 0, -429003204, 113706504, -78955104, 952667266, 0, 1553558896, -190254592, -636719796, 150658560, 0, -10628820, -405819134, 83109520, -10549800, 0, -344888896, -715884480, -274941352, 807153120, 0, -97777680, 273847200, 174871584, 424273724, 0, 680694786, 561765992, 401376464, 164884248, 0, -781764288, 42403482, -341943640, 601466076, 0, -847969644, -428853176, -46922814, 507980800, 0, 137615400, -1637841504, 155509200, 101525976, 0, -619440928, -95710896, -759071214, 144140816, 0, 364689696, -493977322, 406432872, 296359734, 0, 93051504, -861100060, -290235844, -351886752, 0, 269214488, 387563328, -753105088, 714556554, 0, 828865428, 98636592, -190504152, 823034016, 0, 86685696, 527185580, 557825244, 219686580, 0, -248414452, -1027556640, 776169616, -378066704, 0, -155030812, 172118960, 238966848, 7533586, 0, -154578294, -328303008, -954245284, 370086408, 0, -41647584, -110657826, -459747032, 403939928, 0]