# Trace form for 121.6.a.b, downloaded from the LMFDB on 12 November 2025.
[0, 1, 4, -15, -16, -19, -60, -10, -192, -18, -76, 0, 240, 1148, -40, 285, -256, -686, -72, 384, 304, 150, 0, 3709, 2880, -2764, 4592, 3915, 160, 5424, 1140, -6443, 5120, 0, -2744, 190, 288, 12063, 1536, -17220, 3648, 1528, 600, 4026, 0, 342, 14836, 7168, 3840, -16707, -11056, 10290, -18368, -29862, 15660, 0, 1920, -5760, 21696, -6461, -4560, 16980, -25772, 180, 28672, -21812, 0, 29999, 10976, -55635, 760, 31023, 3456, -1924, 48252, 41460, -6144, 0, -68880, -65138, 4864, -54351, 6112, 102714, -2400, 13034, 16104, -81360, 0, 17415, 1368, -11480, -59344, 96645, 28672, -7296, -76800, 66905, -66828, 0, 44224, -96730, 41160, -95704, -220416, -2850, -119448, 32658, -62640, 185438, 0, -180945, 2560, 72849, -23040, -70471, -86784, -20664, -25844, 6860, -54720, 0, 67920, -22920, 103088, 111891, 720, 78184, -49152, -60390, -87248, 462, 0, -3840, 119996, -74385, 131712, 296233, -222540, 399818, -3040, -107520, 124092, 0, 4608, -103056, -7696, 250605, -193008, -72670, 165840, 303082, -73728, 12348, 0, 122417, 275520, -532987, -260552, 447930, -97280, -37090, -217404, 282076, -24448, 0, 410856, 573588, -28800, 946611, 52136, -6912, -64416, 386286, -325440, 27640, 0, 96915, 69660, 545079, -5472, -279485, -45920, -254700, -712128, -229197, 386580, 0, -114688, -39150, -29184, -444437, -430080, 18476, 267620, 327180, 267312, -270182, 0, 43320, 530688, -449985, -386920, -54240, -164640, -29032, -382816, -66762, -293888, 0, -11400, -1029684, 477792, -465345, 130632, -76494, -751680, 64430, 741752, 28860, 0, -787528, -723780, 461281, -51200, 49752, 291396, 855570, 92160, -665805, -281884, 0, -1041408, -1209336, -82656, -136192, 103376, 977070, 27440, 571482, -72960, 267080, 0, -136080, -271680, 317433, -91680, 440832, 1237056, -1540710, 447564, 1387367, -2880, 0, 312736, -195510, -1114112, -885922, -241560, -120630, 348992, -97632, 1848, -1446874, 0, 567378, -15360, -261225, -479984, -353878, -297540, -525260, 175616, 172200, 1184932, 0, 890160, 595610, 1599272, 115974, -36480, -732318, -430080, -2233804, -496368, 109440, 0, -15280, -92160, -949261, -412224, -1003575, 30784, 1531080, 1002420, 122759, -2316096, 0, -290680, 4257932, -663360, -40260, 1212328, 1450950, -98304, -322620, 49392, 1142680, 0, 1435560, 489668, 586956, 3306240, -233857, -2131948, -3420, 1042208, -935503, 1791720, 0, -544768, -489870, -148360, -263424, 869616, -3173072, 1128304, -2781570, -293376, -71680, 0, -1058231, -1643424, -217134, 2294352, -569981, -38400, -506186, 3786444, -1092735, -208544, 0, -27648, 335140, -772992, 1057065, 1545144, -467636, 1301760, -304470, 110560, 4494420, 0, 2518683, 387660, -589437, -278640, -102900, 2180316, 3018412, -65664, -2328643, -1117940, 0, 183680, 36556, -1018800, 994429, -949504, -27504, -916788, 298620, -1546320, -1728958, 0, -1678365, -1376256, 6226752, -156600, 454765, 116736, -1172760, -1777748, 2275573, 737280, 0, 73904, -72468, -1070480, 389781, 1308720, -2544374, 3207744, -6930, -1080728, 1237622, 0, -1619330, 173280, 57600, 707584, -5543678, -1799940, -7396564, 1547680, 1032669, -216960, 0, -1975680, 2704926, -116128, -4443495, 1531264, 64610, -267048, -1951566, 5877760, -5997270, 0, 3373372, 45600, -4525514, -4118736, -129024, 5733504, 1896104, -1861380, -169800, -522528, 0, -305976, 684534, -1002240, -4225907, 257720, 1545840, -2967008, 1424256, 115440, 2091848, 0, 300726, -3150112, 1562843, 2895120, -330885, 1845124, 1090050, -286720, -3004493, 199008, 0, -1165584, -4546230, 3422280, 218120, 1105920, 2445516, -2663220, -2685690, 1127536, -7791036, 0, -1051961, -1388544, -1836255, -4837344, 3970035, 330624, -299990, -544768, 7994805, 1240512, 0, 3908280, -1061376, -109760, 537516, 2285928, 8539076, 1459200, 13848324, 1068320, 556350, 0, -1271195, -544320, -1864867, -3260160, -4231140, 1269732, -5157272, 366720, -3720864, 1763328, 0, 1649408, -310230, -6162840, 4533404, -1790256, -8603820, 5549468, -1711634, -34560, 1837870, 0, -14199165, -1250944, 9738219, -782040, 19240, -2883584, 1503360, -3543688, 1818376, 966240, 0, -482520, -5794290, 4187904, 4302789, -390528, -2622800, -7392, -414600, -5787496, 4419898, 0, 7320338, 2269512, 116298, 61440, 1754144, -1044900, -620502, -5759808, -8176185, -1415512, 0, 1190160, 2496344, -2101040, 4192275, -3512320, -3523322, 688800, -11432312, -4739728, -305640, 0, 2082816, 10681920, 651380, 2382440, 3437955, -6397088, 9815290, 463896, 4621848, -48640, 0, -2929272, 8191924, 1720320, -1384131, -8935216, 543510, -5956416, 7542864, 437760, 8694004, 0, 6666555, -61120, -10251676, -516096, 2033793, -3797044, -277140, 1648896, -1027140, -4014300, 0, 369408, 392616, 6124320, 3517796, -4009680, -2474112, 491036, 4052730, -3088128, 8345348, 0, -130340, 1162720, -649800, 17031728, 6150224, -7960320, 6862318, -161040, -539982, -4849312, 0, 5803800, 9455362, 1966080, 813600, -1290480, 8228864, -197568, 4636576, 4570720, 435480, 0, 6057042, 5742240, -5639935, -1958672, 14520735, 2347824, -174150, 4408320, 6511571, -935428, 0, 8527792, -8275218, -13680, 1126165, 12506496, 15445260, -3742012, -1485496, -7166880, -19179636, 0, -558414, 933888, -14201961, -1959480, 1607939, 593440, 1147410, -1053696, 3102355, 10435392, 0, -12692288, -966450, -4513216, 6888515, -11126280, -8778, -391168, 34632, -286720, 12413434, 0, -8109935, -4232924, 11812920, -19721088, 72960, -868536, 20117616, -9177408, -6919215, -2279924, 0, 768000, -17806334, -2024744, -10821060, -15145776, -15517902, -4370940, -669050, -2502528, -12833550, 0, -2181056, 110592, -5628427, 1340560, 9987075, -1030656, -34281576, 4228260, 22989167, -6180576, 0, -1870544, -7596542, 15621120, -1048208, -1217880, 18140040, -442240, -2340922, 17977680, 4632192, 0, 2042880, 10074732, 967300, -1550640, -19269445, -2357748, 1172484, -3343680, -23897087, -411600, 0, -8721264, -8572230, 12073648, -21466515, -87552, 957040, -9314572, -4006200, 4471760, -14991936, 0, -16770543, 2204160, 15248493, 146224, -2761836, 4075200, 17537268, 3977716, -4761495, 18990080, 0, -110016, -14738654, 3667152, -6612480, 1194480, 4809460, -18555840, 1380730, -6915832, -1848852, 0, -326580, -6713460, 8293171, -1835008, -20810505, 24907008, -5758558, 626400, -352294, 1819060, 0, 1400832, -16898460, -4691040, -1854380, 7110992, -234612, 9102292, -7417228, 16711680, 36652, 0, 13288830, -295616, -31746246, -289872, 17808452, -12845760, 1809450, 1559124, 586752, -5234880, 0, -10177496, 21234960, 4276992, 10126753, -27720, -20198512, 4322912, 21703110, 4950488, -728490, 0, 19493040, -6477320, -8510670, -693120, 15565993, 230400, -4917248, -14151680, -313470, -22174712, 0, 7199760, 704710, -29586256, 5308170, 18572160, 29166672, 4130676, 16521482, 867840, 7878900, 0, -5359444, -2634240, 1545984, 10819704, 206640, 464512, -5566142, -17773980, 11880069, 18375168, 0, 258440, 13285628, 1068192, -653987, -7806264, -8934150, 32915456, 11461002, -23989080, -10898172, 0, -25224345, 13493488, 24774713, 547200, 8908627, -18102056, 10984770, 16474944, -17985609, -516096, 0, 7644672, 33507060, 7584416, 44741667, 7445520, -27129062, -679200, 131328, -6270336, 28423208, 0, 26592183, 1223904, 229200, 2738136, -22250016, 20044800, -7339434, -16903628, 14238915, -1030880, 0, 6183360, 34438852, -35604096, -1204290, 5697024, -1118910, -461760, -28342788, 8367392, -22966200, 0, 36644533, 1202904, 16877164, 12600448, -1841385, 6251372, -2739406, 34741440, -781840, -1323540, 0, -7380496, 2752512, 4360200, -10356501, 491520, -63868980, -12017972, -34946832, -796032, 20485332, 0, 603900, -13987008, 5310215, -18184920, -31328580, -13689120, 1741140, 872480, -24976212, 1474560, 0, 9782064, 4839300, 10652880, -4620, -10742760, 11061266, 13530432, -17140200, -31164144, 35614404, 0, -33342132, -4207844, 1722672, 27770880, -20173854, -7345020, -6415488, 19349376, -8804340, 15880140, 0, 3967488, -9107336, -1199960, 3507855, 2179072, 36770862, 31979220, 5667352, 1654016, 743850, 0, -49574325, -15633120, -2208752, -4245504, 14032545, -1317120, -35378738, 2150064, 8444303, -9143712, 0, 34156304, -2962330, 8171520, 12883098, 55393296, -587844, -4273280, -351044, 2225400, -27805888, 0, 3951360, -5084780, 15683521, 2177280, -3998180, -7459468, 47596080, -4346880, 20113965, -16924560, 0, -5078928, -3337884, -20629088, -20926899, 4400640, 5133458, -14883456, 1075200, -7053312, 14932434, 0, -31866272, -32988160, 15873465, -1240920, -823080, 24651360, -1389134, 18133616, 47226645, -21483072, 0, -34415280, 4432246, -22197872, 8549715, -6846536, -11467008, -46080, 33680074, 7351480, 7592790, 0, 5922435, -56796660, 1030560, -15011328, -1311282, 38952876, -50545978, 3128160, -13522154, 76960, 0, 24117248, -4223392, 6013440, -74778424, 14174752, -5027100, 7273504, -4498000, 11594880, -49705040, 0, 1268478, 1930080, -11648280, -23177160, -27547033, 5583872, 7014540, 17211156, 726700, 1562112, 0, -10491200, 4567050, -88704, 1748545, -1658400, 21420274, 23149984, -62394948, 17679592, 19563996, 0, -3030820, 29281352, -37780245, -9078048, -2557409, 465192, -34856084, 737280, 8841555, 7016576, 0, 4179600, 34299764, -2482008, -123480, -7679744, 65429712, -32704740, -11127864, 5662048, -45276180, 0, 117915672, 14281920, 26586112, 9985376, 34929645, 8404160, -1224170, 16769100, -11548336, -19668992, 0, -14093288, -52039258, -2755200, -45980103, -45729248, -548340, -56876736, -29944806, -1222560, 5329870, 0, -14916435, 8331264, 40044759, 14242560, 14963032, 2605520, 5982120, -9529760, 64841538, 13751820, 0, -76765056, -4479300, 39261160, -8764339, -1855584, -62188944, 18487392, 25934370, 972800, -2481024, 0, -20719224, 11717088, -2014038, 32767696, -61966263, 20643840, -18115778, -5536524, -93401280, 35740864, 0, 2174040, -16255830, -7941888, -6821475, 30171456, -20579314, -1751040, -2820760, 34776016, -1407312, 0, 12650295, 26666220, -77721909, 244480, -34133595, -41006704, 52864538, 884736, -16898263, 8135172, 0, 15188176, 19992420, -1108560, 6520320, 19786752, 15761790, -4108560, 66922162, 16057200, 22977384, 0, -5846715, 492544, -5735880, 1570464, 71071971, -24497280, 38165610, 14071184, -19812352, -48116160, 0, -9896448, -8316, -1964144, 4845870, 16210920, -9466110, 61762560, -18564330, 33381392, -44272668, 0, 8287872, -521360, 24289950, 13952640, -15961173, -2599200, -10858158, -68126912, 69120, 24600896, 0, -10613760, -42173138, 27449272, 83155170, 644160, -5074520, -2159928, -21281778, -58191744, 110948460, 0, -3862860, -23215200, 32896123, 37821448, 2585520, 11010048, 49852122, 3254400, -110758158, 5161920, 0, 32915456, -54187162, -2370816, 46178148, 18546304, -40573890, -18282880, 85695972, 1741920, -14380410, 0, -5332194, 24228168, -8375808, -22968960, 75799122, -22559740, -969150, -23504064, 1319864, 58082940, 0, -9391296, 29273490, -696600, 21837024, -88166400, 21152600, 26046284, -7196724, 3741712, -5450790, 0, -26359973, 102333504, -50600580, -33100872, -17390183, 54720, 76806940, 4504660, 67882710, 16675328, 0, 61781040, 2794850, 14968048, 28062720, -5941984, -9844904, -86002560, 11519616, -76718544, -28441560, 0, 12321245, -2233656, -53974485, 21168128, 2547000, -56807844, -97195812, 7837920, 16832518, 6431756, 0, 7121280, 109319280, 4589640, 86701336, 4214784, -10268010, 12409420, 2291970, 13913856, 562848, 0, 63388605, 50769152, 51102927, -3865800, -64256211, -54158592, 1855008, 27554060, 18064148, 44505120, 0, -35112, -21363840, 7823360, -111046040, 138528, 27490606, 1146880, -31377720, 49653736, -51418422, 0, -36475921, -32439740, -65407905, 16931696, 82538568, 47251680, 56146036, -26294784, -23442645, 291840, 0, 3474144, -25939518, 80470464, 4963275, -110128896, 4444370, -27676860, -109868192, 9119696, 1308060, 0, 44684668, 4300800, 6723682, -71225336, 45067395, 8098976, 11912832, -43284240, -184760, -181749312, 0, -62071608, 9979940, 17483760, -23963849, -2676200, -5455476, -3336704, 31450836, -51334200, 38879232, 0, -3271800, -8724224, 16604496, 1327104, 76172012, -22513708, -36682740, -5362240, 102166683, 39948300, 0, 20613120, 37284786, -137126304, 2701820, -16913040, 120843620, 91956668, 116865540, -74166912, -11316590, 0, -738816, 7482176, 15779415, -30386168, 37491384, 20828160, -433200, -4192832, -2203506, 4871520, 0, 72560160, -33511188, -5306880, -59550525, -9363688, 62978820, -71910720, 13914042, 18528768, 4499850, 0, -102790455, 8171520, -70461804, -40298928, 9593766, 3869200, 42442276, -18607680, 212882824, -77077780, 0, 9430992, -90618768, 4689936, 21036407, -4458240, 15920640, -95588348, 141986052, 1646400, -12606242, 0, -116909730, -104655168, 53353494, -34288920, 290320, -48294592, -128086140, -85866060, -70972536, 1751040, 0, 3828160, -207724860, 37258288, 18035959, -16024800, -39237268, 53661120, 667620, -59967744, 76757956, 0, -85736891, -67082172, 19067925, 2938880, -46183424, 60993972, -11584660, -584896, 27973005, -11047344, 0, 48902400, -29090520, 70149072, -5077368, -15910864, 83630652, -19045980, 107742590, 106344448, 77359080, 0, 17858204, 440064, 10296840, -58954616, 55812960, 44005824, 40415024, -26449920, -78529481, -4777920, 0, 19237840, 141724642, -24741120, 72940281, 5522920, 4653450, 27663328, -77340396, -7395408, -80900708, 0, -68001060, -1306320, 55942025, 26853840, -25012992, 33172684, -10324584, 36700160, 764940, -83242020, 0, -99628032, 25674510, -23034232, -137831665, 7516800, -11946690, -1409176, -27568050, -7276240, 18432264, 0, 107643201, 1867776, -17038998, -67593840, -87823711, 18764160, -46932720, -7417520, -146073285, 85331904, 0, -938448, -77716976, -36409168, -288600, -29668912, -21710920, 43253760, -161971488, 146608, -20870784, 0, 111266291, 53155320, 125659596, -3547392, -27275640, -126984984, 7875280, 1159488, 101944197, 71233808, 0, -17127680, -18824120, 7237800, -11152164, -6236496, -6953148, 2347008, 18730788, -62818560, -4612810, 0, -64541835, 40709984, 4443283, 84939840, -24188788, -85539840, 39342000, 40507012, 57356236, 110880, 0, -80794048, -497520, 51874944, 39442176, 86812440, -158015598, -19801952, -66298470, -2913960, -173943638, 0, 17774557, 77972160, -109805070, 25909280, -8555700, -34042680, 48565638, -8317440, -25294815, 62263972, 0, -921600, 56257568, -19668992, -26312160, -79249408, 4619534, -1253880, 6658050, 88698848, 9307530, 0, 107974803, 86397120, -112152682, 2818840, -9811422, 118345024, -101990514, 21232680, 5005056, 24762880, 0, 116666688, 117623884, -16522704, 137839126, 66085928, -37445160, 10414080, 128450868, 31515600, 167391774, 0, 5030730, -21437776, 12093360, 52684800, 115064307, 6183936, 52849830, -43278816, -203455491, 826560, 0, 5574144, 171484680, -22264568, 192400866, 71095920, 1361920, 47520276, 66476700, 24500224, -45896830, 0, 89755232, -1033760, -31242240, 53142512, 20106389, 12818304, 102138818, -2615948, -9770700, 31225056, 0, -35736600, 114552068, -56426496, 4125546, 45844008, 61568448, 95956320, -34960586, -43592688, -147229350, 0, -5714820, -100897380, -82917236, -53973952, -69327720, 99098852, -7136116, 729600, -113521417, 35634508, 0, 72408224, 9617534, 43939080, -2670800, 197699328, -122878860, -71942436, 6687360, 2064384, 131429694, 0, 20761965, -152893440, 138106998, 134028240, -147192680, -30337664, 1360800, 178966668, 530376, 89346240, 0, -108516248, -113142960, 2716800, -68406441, 525312, -35044464, -8360448, -130410060, 113692832, -6367660, 0, 66356780, 106368732, 7999866, 14686848, 20926557, 916800, 38849218, -10952544, 153775140, -89000064, 0, 112250880, -4408320, -29357736, -30506895, 67614512, -46132002, 56955660, 8885084, -12370560, -332568, 0, 86467584, -24733440, -134147611, 137755408, 15407100, -47472128, 5784930, -4817160, -153765279, -22788096, 0, -4475640, 65652944, -5541120, -139953950, -113371152, -85393980, -33469568, -13873670, -91864800, -133649384, 0, -52766940, 146578132, 6151728, -4811616, -47854977, 67508656, 37111680, 151205376, 92099520, -7365540, 0, -25005488, 4863276, -10957624, -85747572, 46321920, 46544296, -3127360, -125180220, 5294160, 340075484, 0, -186982783, -88565952, 1955100, 11010048, -158457615, -17440800, 7623518, -41426004, -779760, 11141120, 0, -255475920, -57349828, 48071888, -92253360, -139787328, 8859220, -9552384, -117441028, 81941328, -102934770, 0, 44244217, 2415600, 458991064, -18649344, 117446085, 21240860, -122894100, 72739680, -201536541, -125314320, 0, -164269440, -241596842, 6964560, -22403388, -3489920, -141830430, -99904848, -170795912, -29491200, 5317936, 0, 976320, -39128256, 41628223, 19357200, -46930969, 127834560, -123432960, -18480, -18894151, 42971040, 0, 44245064, -69548640, 18040576, 14468740, -68560800, 25691520, 124656576, 522576, 142457616, -54151108, 0, -130799767, -133368528, -90855630, 16831376, -127210468, 6890688, -5673780, 155516928, 84599025, -80695416, 0, 29380080, 197106298, -25661952, -201587859, 232192512, 32850202, -35217360, -185216692, -63520560, 2612250, 0, 184240839, 5289984, -51102726, -36429344, -97673565, 4799840, -180448938, 14031420, 200192215, 26148864, 0, 147083448, 3538780, -127916880, -118308288, 22669408, 124128270, -33080320, -113566982, 2975400, -109402140, 0, -16892475, -198297300, -8640535, -187597440, 5252600, -8835008, 18534312, 16982016, 91194337, 56130180, 0, -1756160, 22282440, -141514952, -18422540, -8600256, 380966226, 33777212, 287694540, -109724544, 104039364, 0, -43235887, -136625216, 121455045, -11849320, -37144320, -14008320, -49974414, 51532392, 213029415, -221573184, 0, -2351376, 10952704, -51279360, -24119085, -1404176, -159236466, -8901600, 158929506, -111223552, 1376892, 0, -83425160, 15805440, -5956100, 20339120, -46535325, 62734084, 162714576, 26127360, -7405839, -15992720, 0, 29837872, 6922040, 190384320, -7809245, 86937600, -1159740, 80455860, 48343106, 67698240, -36750336, 0, -103327725, -60947136, -360225306, -13351536, 347938136, 82516352, 131670, -83707596, 7323180, 5867520, 0, 20533832, -7532460, 59533824, 188944763, 4300800, 180041432, -84639744, -186201510, 59729736, 55875534, 0, 22338040, -127465088, 121649025, -184733696, 30767270, 63493860, -326077718, 4963680, 14175504, -3292320, 0, 295816320, 96998994, -5556536, -1094400, -72534464, 154983528, 188906580, 194360924, -28644096, -301764240, 0, -95699668, 137661120, 105329882, 17728984, -8303058, -266374464, -25528296, 34198860, 22225085, 27386144, 0, -45868032, 140534716, 921600, 312942175, 134720296, 267095010, -29405920, 28858368, 30371160, 9492610, 0, 150226164, 23689740, -191187495, 227186640, 26661825, 4122240, 232768530, -20015104, 12540672, -5245128, 0, -155811504, 10035750, -202183912, -112258788, 37537920, -611869076, -54088616, -15400260, -307840, -51393594, 0, 64592235, 188743680, 32715840, -16893568, -15310800, -24053760, 270443196, -299113696, 84426405, 170097024, 0, -20108400, 168268752, -29094016, 11984490, -17992000, -276660696, 15459840, -1227590, -198820160, 514223640, 0, -50836762, 5073912, 71208192, 23160960, -344837505, -46593120, -283901496, 92708640, -193283557, -110188132, 0, -111677440, -179178270, 28058160, -219371233, -68844624, 113948130, 2906800, -34351824, 18745344, -103780358, 0, 15723120, 41964800, -42579320, 18268200, -64094068, -118272, 21768048, 6994180, -332793491, 6633600, 0, 85681096, 35113830, 277799808, 85984766, -249579792, -67262382, -70718368, -69482880, 78255984, 284309410, 0, -23156054, -12123280, 2451456, -117125408, -10435776, -151120980, 323823248, -108936576, -14509500, -10229636, 0, -1860768, -76757226, -139424336, 289041675, 983040, -232215460, 35366220, -321944932, -28066304, -255015270, 0, 3226200, 50155200, 196923217, 137199056, 358456305, 9928032, -95843230, -493920, 17698079, 153594880, 0, 261718848, 27974016, 130818960, -11426800, -44511456, -10286676, 67944576, 149253994, -181104720, -13006146, 0, 321997725, 471662688, -53634224, 19042560, 184454867, 106344448, -14355600, -39941504, 80292233, 139718580, 0, 100849920, -4807440, -4896680, 658479024, -67076400, -45629136, -46193344, 224879040, 33718272, -5869560, 0, -365902755, 56373152, 251558145, -208157032, -77939043, -33062400, -27060864, -183920412, -195659955, 182916992, 0, -2193360, 2338570, -75835648, 41427540, -119779224, -39745112, 4890240, 660465064, 21319480, -263059020, 0, -199881189, -59665740, -27687895, -33325056, -5713794, 160179036, 306182064, -284851200, -177964783, 59852128, 0, -10422080, -393116852, 23928480, -29694017, -114357120, 221079810, 259366152, 9355030, -55007280, 197343938, 0, -7934976, -102353408, -48135060, -17917200, -316932, -157044640, -72141900, -35057356, 248150645, -22267008, 0, -248755776, -20710950, -73949568, 46967598, 103737480, -271260158, 5447680, 402125310, -9924096, 382453192, 0, 57085367, -82876896, 4898700, 140605056, 443456328, -8056152, -158059296, -131070784, -124397565, -247865052, 0, 27525120, 204829740, -72463112, -24972606, 22146096, 2634240, -373605120, 12396332, 428890368, 86378370, 0, 193964091, -8696160, -432252011, -65023320, 5284410, 158837760, 285408124, -27285900, 31730720, -120685824, 0, -82317256, -120224412, -21012480, -167996129, -11283040, 253476900, -139104064, -46464804, -5629248, -421241810, 0, 27815700, 50601180, -353308512, -106664880, -2244679, -310887636, 51028110, 2933760, -107201817, -136534380, 0, 164026816, 111258420, 211458152, -119755776, 20054016, 148029684, -67593052, -549780, -32540688, -217266060, 0, 162419105, 182258112, 15946596, 79969680, 19987259, 4434240, 10582310, 26081280, 476193690, 26382336, 0, 63047160, -358771570, 16434240, -267126780, 267688648, 625750692, 192686400, -203215838, 91909536, 2171340, 0, 1849663, -23386860, -75430665, -9850880, -8801280, -22943520, -303985142, -6281856, 3297319, 284287884, 0, -293967360, 5699810, 152662440, 48176069, -56284736, -294799824, -79249408, -343055472, -64154880, -320848780, 0, -151901295, 39585792, 72417891, -33264, 5061860, -23569728, 302977680, 19383480, -274275148, -64843680, 0, -37864440, 26043732, 345870336, -354966136, -74257320, 192315988, -133525568, 10927350, -177090672, 42966144, 0, 327504795, 33151488, -292395600, 2085440, -75855810, 97159800, -116258724, 18603520, -10212804, -63844692, 0, 10396800, -223722022, -43432632, -233489895, -817522944, 420845850, 276480, -162242444, -98403584, 73758720, 0, -290044929, 212275200, 277443149, -168692552, 68179725, -109797088, -263118156, 332620680, 557120736, 7729920, 0, -20298080, 76406510, 8639712, 30022656, -85127112, -10570650, -77588992, 318705782, 443793840, -9872408, 0, 6369804, -15451440, 169896283, -278582400, -184925420, 131584492, -437500080, -151285792, 4676360, 10342080, 0, -18874368, -247822230, 199408488, 35432473, -13017600, -7897190, -443032632, 9454680, 61943040, -396485562, 0, 3044700, -131661824, 80391660, -216748648, 366005313, -3161088, 419684134, 184712592, -23189760, -74185216, 0, -162295560, 97988168, -219394560, -44944200, 342783888, -230237330, -6967680, 121128522, -57521640, 83492130, 0, 70696416, -21328776, -246142395, -96912672, -178201035, -33503232, -25186830, -275627520, 250005517, 303196488, 0, 90238960, -4023312, -3876600, 361877937, -31338752, -199284420, 5279456, -510213676, -232331760, 5894370, 0, 9809805, -112695552, 177408, 117093960, -214050816, 2786400, -10720980, 87348096, -86134676, -493731840, 0, 84610400, -171915030, -104185136, 25945440, -28786896, 320374006, 44900544, 163472580, -21803160, 687789542, 0, 21210448, -105439892, 350183493, 136444672, -30184120, -202402320, 32521046, 132403488, -371620695, -69560732, 0, 656640, -592895640, 307227760, -133629405, -18018640, 267361720, 271530840, 23286430, -333506560, 13181724, 0, -628221273, -247124160, 49851620, 11179400, 269784135, 179616576, -26011986, 112250880, 269475264, 23767936, 0, -39379616, 40998874, -114670080, -185026161, 46078464, 40208472, 306874176, -175746572, -113766240, 619896662, 0, -671125005, 49284980, -365560, 8934624, -48748103, -215897940, 406935930, 54788096, -310168936, 10188000, 0, 227231376, -28563840, -388783248, -207914252, 94055040, -9944290, 67330072, -426348120, -25727024, -661786302, 0, 264525856, 9495040, -398882745, 437277120, 508357996, -18358560, 94458960, 346805344, 275040, 50577408, 0, -41072040, 49731360, -49637680, 333750240, 9167880, -242792818, -278277120, 346607986, 2251392, 110091510, 0, 498904434, 253554420, 270196941, 609229824, 17086698, 204411708, 113753472, 15463200, -81752991, -257024844, 0, -72211456, 608047950, 7420032, 17289580, -110216240, -516582780, 72256592, 49833200, 534061440, 159588462, 0, 261933075, 140448, 198454934, -85455360, 68361480, 43810816, 16783650, -444184160, 374230449, -554112, 0, 109962424, 425141820, 13762560, -153771105, -125510880, -83978062, -198614944, -27559440, -205673688, -62267520, 0, 153530112, -145903684, -549667995, 129758960, -139086422, -261631620, -28336802, 203180352, -253157460, 330154272, 0, -189006720, -4547650, 224584144, -2209662, 525895680, -266025478, -93770580, 306407672, -1167360, 41091090, 0, -240572187, 41689728, -33328736, -103758072, 11727600, -321881856, 365629082, 19853100, -436991376, -146838528, 0, 17777480, -90266712, 110707440, 446962589, -439472768, -41287680, 109436352, -22755730, 5232240, 468170560, 0, 155347515, 178738672, 277826941, -7372800, -623117635, 26894728, -76642776, 284901344, 187150307, 180269580, 0, 97187712, 524202480, 47651328, 407673295, 173136960, -23209212, -739040, -307279980, -242332416, -47430536, 0, 455785321, 248286432, 724680, 39919760, -395496747, 209805120, -551871880, -95855396, -79653225, 10704800, 0, -21821904, 717036082, 66734080, 469928700, 125803344, -3897810, 205336800, -512550632, 155516928, -378697950, 0, 537881214, -13087200, -131183804, 34896896, 374643180, 66417984, 217213928, 1769472, 25443740, 304688048, 0, 90054832, 391340690, -146730960, -1182077232, -64346880, 5807160, 408666732, 45838472, -159793200, -84515354, 0, 69300, 115433472, -264655351, 149139144, -39573504, 548505216, -165918990, 10807280, -112204845, -202956480, 0, 483374480, -20568240, -367826672, -12376220, 467462160, -138701952, -98889216, -534216060, -45266360, -193504136, 0, -46312448, -2955264, 500131980, 89786112, -140649066, 63117660, 16193300, 121544672, -374681160, 149965536, 0, -416563200, -186490510, -1732800, 302607810, 16771328, -457912844, -8814024, 223783218, 58458240, 96232320, 0, -87815112, -290240640, -17964522, -134044752, -10565208, -7075840, -213713972, -238202100, 597818180, 37454752, 0, 251915280, 55436780, -862928640, 473543551, 55656168, 136610040, -74115072, 362892720, 17999400, -155646556, 0, 4209426, -411161820, -74388527, -32686080, 73965640, -281847216, -551562930, -483587136, -201354636, 38375064, 0, -15476800, -85010280, 169769104, -27905280, -24810240, -279773322, 851531296, -10326690, 308311120, -350519642, 0, -393481368, 113171904, 743614875, -362475072, -433659652, -18759744, -143314416, 84145628, 33131280, 89164800, 0, 63682560, 54102514, 382353392, 16839054, 567944208, -165186076, 19756800, 535864834, -50424968, 530681070, 0, -495133659, -467638920, -27049260, -139540224, -126664545, 213413976, 121712640, 137155680, 116383488, 1161280, 0, -579535104, -649375146, -512344560, 415003719, 343464240, 44434950, -283890144, 647962952, 9805824, 120775974, 0, -193246470, -15312640, -38642067, -830899440, -617153523, 447099456, 127856070, 72143836, 107943927, 64099200, 0, -156949072, 5265660, 71548160, -467731994, 2670480, 529550588, 239870976, 417088320, 307031824, -881282226, 0, 19515660, -342947564, 4741632, 268328688, 493398931, 76271700, 47403144, -58777600, -235252815, -184733696, 0, -243975888, -651572104, -46338640, 59972700, -7018752, 289984456, 111892020, -785759694, 44189376, 57115296, 0, -320060112, 65203200, -524663520, -116362080, -301709475, -280596288, -33733720, -20309472, -66838124, -190930368, 0, 334522608, -23434946, 76183920, -264992196, 430970360, 725989770, -182304768, 47008128, 309436320, 45255140, 0, 313903485, 71432816, 982194360, 5280768, 1457866, 41187360, -77001870, 235818464, 148172511, 223251840, 0, 58674432, 1290240, 161660096, -524531847, 105799680, -158561612, -314117924, -223986510, -57335040, 133942666, 0, -144086963, -76951360, 477994080, 566898568, -18961040, 494822400, -764344140, 291761124, 19048158, -22091680, 0, 18613800, -204667008, 331959936, 12346200, -309361584, -519098496, 29581632, -283684860, -323602832, 20837010, 0, -2939872, -272004240, -116854256, 5225280, -655636113, 223768100, 189895696, 322246080]