# Trace form for 150.6.a.j, downloaded from the LMFDB on 25 April 2024. [0, 1, 4, -9, 16, 0, -36, -4, 64, 81, 0, -500, -144, -288, -16, 0, 256, 1516, 324, -1344, 0, 36, -2000, -4100, -576, 0, -1152, -729, -64, -2646, 0, -5612, 1024, 4500, 6064, 0, 1296, -7288, -5376, 2592, 0, -18986, 144, -2404, -8000, 0, -16400, 8900, -2304, -16791, 0, -13644, -4608, 39804, -2916, 0, -256, 12096, -10584, -28300, 0, 18290, -22448, -324, 4096, 0, 18000, 65956, 24256, 36900, 0, -28800, 5184, -30808, -29152, 0, -21504, 2000, 10368, 60228, 0, 6561, -75944, -2468, 576, 0, -9616, 23814, -32000, 22678, 0, 1152, -65600, 50508, 35600, 0, -9216, -36968, -67164, -40500, 0, 167918, -54576, -154364, -18432, 0, 159216, 136788, -11664, -53810, 0, 65592, -1024, 82692, 48384, 0, -42336, -23328, -113200, -6064, 0, 88949, 73160, 170874, -89792, 0, -1296, -211780, 16384, 21636, 0, 169500, 72000, 5376, 263824, 0, 97024, 252036, 147600, 192016, 0, -80100, -115200, 144000, 20736, 0, -123232, 151119, -116608, 235694, 0, -371492, -86016, 122796, 8000, 0, 41472, 264952, 240912, -358236, 0, 16400, 26244, -403124, -303776, 0, -9872, -261900, 2304, -288349, 0, -108864, -38464, 326228, 95256, 0, -128000, 254700, 90712, -109516, 0, -53146, 4608, -164610, -262400, 0, 202032, -758000, 142400, 2916, 0, 232056, -36864, -1030672, -147872, 0, -268656, -522796, -162000, -215292, 0, -593604, 671672, 10584, -218304, 0, -617456, -332100, -73728, 672000, 0, -1030080, 636864, 259200, 547152, 0, -46656, 22448, -215240, 277272, 0, -436608, 262368, 456020, -4096, 0, 330768, -434252, 193536, -722710, 0, -18000, -169344, -565348, -93312, 0, -452800, -542052, -24256, 324904, 0, 915262, 355796, -59049, 292640, 0, 683496, 387072, -359168, 22212, 0, 1367076, -5184, 2050000, -847120, 0, 65536, 892932, 86544, 29152, 0, -214326, 678000, -1866500, 288000, 0, 21504, -204102, 1055296, -1372266, 0, 458644, 388096, -10368, 1008144, 0, 590400, -985408, 768064, -454572, 0, 165798, -320400, -1664708, -460800, 0, 576000, 75944, 82944, 878399, 0, 332712, -492928, 2551044, 604476, 0, -466432, 364500, 942776, 1180800, 0, 9616, -1485968, -1511262, -344064, 0, 491184, 736020, 32000, 1389276, 0, 1716600, 165888, 2838512, 1059808, 0, 963648, -1276052, -1432944, 1323000, 0, -1231092, 65600, -2037504, 104976, 0, -1612496, 484290, -1215104, -35600, 0, 443992, -39488, -590328, -1047600, 0, 9216, 2713256, -1153396, -744228, 0, 2806000, -435456, 134392, -153856, 0, 1304912, -1310508, 381024, -298910, 0, 209952, -512000, 737996, 1018800, 0, 362848, 54576, -438064, -2340744, 0, -669763, -212584, -800541, 18432, 0, -658440, 127292, -1049600, -1537866, 0, -159216, 808128, 4038696, -3032000, 0, 569600, 762048, 11664, 1012136, 0, 1906020, 928224, -2376100, -147456, 0, -4122688, -194724, -591488, 1424974, 0, -6215600, -1074624, -1525500, -2091184, 0, -648000, 1693448, -861168, -48384, 0, -2845006, -2374416, 1616256, 2686688, 0, 42336, 3644000, -873216, -1890694, 0, -2268324, -2469824, 113200, -1328400, 0, -294912, -1728144, 2688000, 4609300, 0, -6041510, -4120320, 720900, 2547456, 0, 1036800, -73160, 2188608, -1296000, 0, -3800, -186624, 250736, 89792, 0, -860960, 5510400, 1109088, -3588732, 0, -1360071, -1746432, -1414788, 1049472, 0, 1824080, -2121246, -16384, -829806, 0, 9493000, 1323072, 3343428, -1737008, 0, 774144, 4681976, -2890840, -1105164, 0, -141930, -72000, 727476, -677376, 0, -2261392, -4476396, -373248, -263824, 0, -2384568, -1811200, 1202000, -2168208, 0, -97024, 3224124, 1299616, -1327184, 0, 2098944, 3661048, -147600, 1423184, 0, -236196, -4116468, 1170560, 3628116, 0, -6123156, 2733984, -4011336, 1548288, 0, -1436672, 115200, 88848, -7904904, 0, 2357100, 5468304, 3976284, -20736, 0, 8200000, 2595141, -3388480, 781914, 0, 123232, 262144, 979776, 3571728, 0, 346176, -4450000, 116608, -2936052, 0, 5826938, -857304, -9789380, 2712000, 0, -7466000, -8507792, 1152000, 10373657, 0, -2292300, 86016, 5467968, -816408, 0, 4221184, 985644, -5489064, 8395500, 0, 4760590, 1834576, 478314, 1552384, 0, -41472, -1165948, 4032576, 1481490, 0, 3556224, 2361600, -240912, -3941632, 0, 3072256, -1612932, -1818288, 692352, 0, 6822000, 663192, 3406028, -1281600, 0, -6658832, -26244, -1843200, -14400902, 0, 4747720, 2304000, -2088504, 303776, 0, 331776, -10909408, 3513596, 9276048, 0, 9872, 1330848, -19902000, -1971712, 0, 10204176, 8532228, 2417904, 7542528, 0, 4705164, -1865728, -4631820, 1458000, 0, 3771104, 1937628, 4723200, 6275976, 0, 7719878, 38464, 5342436, -5943872, 0, -6045048, -6061604, -1376256, -95256, 0, -2563200, 1964736, -3664888, 2944080, 0, 128000, -9325220, 5557104, -7401616, 0, 2988900, 6866400, -90712, 663552, 0, 11354048, -6048000, 4239232, -11048608, 0, 160052, 3854592, 9270720, -5104208, 0, -5731776, 4835808, 5292000, -2332800, 0, -16956530, -4924368, 11012796, 262400, 0, -8150016, 3338484, 419904, 14150000, 0, -202032, -6449984, -4761812, 1937160, 0, -4860416, -2495448, -142400, 798188, 0, -15404806, 1775968, 3929472, -157952, 0, -2361312, 10848600, -4190400, -4104180, 0, -9145000, 36864, -976704, 10853024, 0, -4613584, 19388524, -2976912, 147872, 0, 3908268, 11224000, -5255732, -1741824, 0, 537568, 6504390, -615424, -11463552, 0, -5450336, 5219648, 162000, -5242032, 0, 1524096, -28782776, -1195640, 5088132, 0, -4439606, 839808, 9795072, -2048000, 0, 2951984, -671672, 4075200, 4559178, 0, 4878468, 1451392, 23009200, 218304, 0, -1752256, -2924136, -9362976, -20663000, 0, 617456, -2679052, -8237358, -850336, 0, -3202164, 5481612, 73728, 531441, 0, -3644464, -2633760, -8555792, 509168, 0, -4198400, -32978000, -6151464, -5291192, 0, -3483648, -636864, -2364324, 3232512, 0, 16154784, -199908, -12128000, -547152, 0, -8796940, 2278400, -12303684, 3048192, 0, 46656, 29580752, 4048544, -18450000, 0, -12629622, 7624080, 215240, 3712896, 0, -9504400, 8150400, -589824, -23218578, 0, -8036388, -16490752, -17320068, -778896, 0, -2365952, -262368, 5699896, 25517184, 0, 14400000, -24862400, 1928934, -4298496, 0, -6102000, 556676, -8364736, 16798500, 0, -330768, -2592000, -5267520, 6773792, 0, -3444672, 3005620, -193536, 13492400, 0, 1836918, -11380024, 15404000, -9497664, 0, 6465024, 12350394, 10746752, 2231526, 0, 22486216, 169344, -4127796, 14576000, 0, -3492864, 3230976, -7562776, 93312, 0, -16592062, -9073296, 14754420, -9879296, 0, 452800, -3394748, -5313600, -509442, 0, 8868672, -1179648, -25455156, -6912576, 0, 10752000, 4091148, 18437200, 40060904, 0, -13509833, -24166040, -1492182, -16481280, 0, 2883600, -355796, 10189824, 14982372, 0, 29880800, 4147200, 9675064, -292640, 0, 8754432, 32753532, -5184000, -21742024, 0, -683496, -15200, 20874444, -746496, 0, 1002944, -7905591, 359168, -30114000, 0, -18995328, -3443840, -2994408, 22041600, 0, 4436352, 39680392, -14354928, -22959396, 0, 26074206, -5440284, 41048556, -6985728, 0, -5659152, 13755300, 4197888, 847120, 0, -3280500, 7296320, -11961600, -8484984, 0, -65536, -10627200, -3319224, 14849352, 0, 60342864, 37972000, -86544, 5292288, 0, 13373712, -5869356, -6948032, 13601358, 0, 46398192, 3096576, 1234000, 18727904, 0, -11563360, -678000, -4420656, 22785924, 0, -6624180, -567720, 8294400, -288000, 0, 2909904, -12503484, -2709504, 27035154, 0, 22567104, -9045568, -15449400, -17905584, 0, -1492992, -28614944, -1055296, -25546608, 0, -36789242, -9538272, 77842600, -7244800, 0, 4808000, 7968276, -8672832, 8872704, 0, 11484468, -388096, -48220204, 12896496, 0, 5198464, -11907000, -5308736, -1008144, 0, 2865393, 8395776, 11079828, 14644192, 0, -590400, 48350956, 5692736, 18337536, 0, -40551516, -944784, -768064, -16465872, 0, 4682240, -43492932, 14512464, -11339000, 0, -4358610, -24492624, -3348964, 10935936, 0, -16045344, 320400, 6193152, 9856400, 0, -55572596, -5746688, -3995928, 460800, 0, 355392, -12734184, -31619616, 5312952, 0, -576000, 9428400, -42902800, 21873216, 0, 15905136, -53496576, -82944, -32234338, 0, -24419304, 32800000, -9083724, 10380564, 0, -13553920, 6698052, 3127656, -54714972, 0, -12922626, 492928, -25254000, 1048576, 0, 3919104, -17345664, 14286912, -1209528, 0, 49893664, 1384704, -33602600, -17800000, 0, 466432, 27727640, -11744208, 39741076, 0, 11794572, 23307752, -942776, -3429216, 0, -39157520, 2690190, 10848000, -62521482, 0, -7086352, -29864000, -1889568, -34031168, 0, 4608000, 1485968, 41494628, -6641964, 0, -16514418, -9169200, -27122668, 344064, 0, 21871872, 18484000, -3265632, 2345054, 0, -491184, 16884736, 19284048, 3942576, 0, -21956256, 21066696, 33582000, 710784, 0, -36490000, 19042360, 6027867, 7338304, 0, 1913256, -32763412, 6209536, 7204869, 0, -19735612, -165888, -14134400, -4663792, 0, 16130304, -64896204, 5925960, -1059808, 0, -1145628, 14224896, -1801300, 9446400, 0, -963648, 13840794, -15766528, -42283086, 0, -83959000, 12289024, 1432944, -6451728, 0, -7273152, -21666928, 2769408, -36348264, 0, 38035200, 27288000, -7727492, 2652768, 0, 13624112, 68843100, -5126400, 39504266, 0, -6858432, -26635328, 77182000, -104976, 0, -7372800, -9109224, -57603608, 99989296, 0, 1612496, 18990880, -17154180, 9216000, 0, -8354016, 40900256, 1215104, 21384900, 0, -3347224, 1327104, -13439352, -43637632, 0, 14054384, -6531264, 37104192, -24581760, 0, 1752516, 39488, 23066572, 5323392, 0, -79608000, -12824766, -7886848, 1047600, 0, -40587248, 40816704, 55940400, 34128912, 0, 9671616, -68394000, 30170112, 13729500, 0, 40115370, 18820656, 1153396, -7462912, 0, -18527280, -58641516, 5832000, 50236956, 0, -15241032, 15084416, -19684044, 7750512, 0, 18892800, 435456, 25103904, 26905000, 0, 65055150, 30879512, 25605054, 153856, 0, 21369744, -43660800, -23775488, -14546304, 0, -1304912, -24180192, 41430624, -24246416, 0, -5505024, 32865780, -381024, -163196400, 0, -32796000, -10252800, -81786004, 7858944, 0, -14659552, 17016246, 11776320, -67467462, 0, 90269388, 512000, 20414916, -37300880, 0, 22228416, -45670032, -29606464, -1018800, 0, -46704928, 11955600, -41346000, 27465600, 0, -362848, 6360984, 2654208, 64324654, 0, 15553296, 45416192, 438064, -24192000, 0, 16956928, -41483700, -44194432, 97333900, 0, 10646784, 640208, 54373590, 15418368, 0, 37082880, 212584, -20416832, -6488100, 0, 106549432, -22927104, -88644864, 19343232, 0, 21168000, 13972020, -9331200, -23804340, 0, 658440, -67826120, 59816668, -19697472, 0, 44051184, 11664000, 1049600, 28355270, 0, 62624032, -32600064, 34200, 13353936, 0, 1679616, 84550048, 56600000, -2256624, 0, 83848242, -808128, -99841196, -25799936, 0, -19047248, 108745860, 7748640, 3032000, 0, -49593600, -19441664, -48360384, -9981792, 0, -569600, 32298588, 3192752, 57912272, 0, -42499034, -61619224, 12240639, 7103872, 0, 15717888, -69189380, -631808, 12733092, 0, 36051000, -9445248, 13491248, 43394400, 0, -16761600, -928224, -16416720, 44456832, 0, 19091214, -36580000, 91305648, 147456, 0, -3906816, 7468254, 43412096, 38707200, 0, 4122688, -18454336, -85437000, 77554096, 0, -11907648, 116030000, 591488, -30090852, 0, -59016526, 15633072, -23549400, 44896000, 0, -21022928, -94796236, -6967296, -16229013, 0, -42137784, 2150272, 94990636, 26017560, 0, -2461696, 9946476, -45854208, 2091184, 0, -2584710, -21801344, 1277370, 20878592, 0, 648000, 41405952, -20968128, -6547284, 0, -39394944, 6096384, 861168, -115131104, 0, -4782560, 105890000, 20352528, -16586540, 0, 40287564, -17758424, -74989000, 3359232, 0, 39180288, 2374416, -8192000, -89439330, 0, -3741488, 11807936, 21461112, -2686688, 0, 16300800, 15497280, 18236712, -10818000, 0, 44428986, 19513872, 1984708, 5805568, 0, 92036800, -126696348, 873216, -52841178, 0, -29017116, -7009024, 18435316, -11696544, 0, -37451904, 11944656, -82652000, 87824600, 0, -84750000, 2469824, -18890496, -10716208, 0, -32949432, 66559420, -3401344, 1328400, 0, 31911748, -12808656, 137450032, 21926448, 0, 294912, -49946800, 2125764, -147057080, 0, 37048212, -14577856, -2688000, -10535040, 0, -34223168, -32653044, 2036672, -23815296, 0, -4192156, -16793600, 55108404, -131912000, 0, -24605856, 4120320, -21164768, 36102024, 0, 23535798, -13934592, 20086892, -2547456, 0, -9457296, 55955956, 12930048, 40495650, 0, -1036800, 64619136, 105368996, -799632, 0, -48512000, 71144136, -2188608, -83260452, 0, -80946432, -35187760, -21213900, 9113600, 0, -49214736, -126018000, 12192768, -35786556, 0, -9111408, 186624, 34379848, 118323008, 0, 16194176, 138369968, -73800000, 94231092, 0, -23356269, -50518488, -36194244, 30496320, 0, 860960, -7037226, 14851584, -96008000, 0, 12705320, -38017600, -1109088, 32601600, 0, -2359296, -105321384, -92874312, -8817984, 0, -270419600, -32145552, 99799268, -65963008, 0, -69280272, 1746432, -3115584, 148359538, 0, 40050000, -9463808, -53759204, -1049472, 0, 22799584, 26424468, 102068736, -8473488, 0, -1824080, 57600000, -52442442, -99449600, 0, 7715736, 97821948, -17193984, 88104420, 0, -104092716, -24408000, -25617312, 2226704, 0, -33458944, 3316992, 67194000, 91428152, 0, 76570128, -1323072, -73458164, -10368000, 0, -21070080, -93362913, 27095168, 1737008, 0, 17520352, -13778688, 20630700, 12022480, 0, -774144, 103452048, 53969600, -49211712, 0, -46951934, 7347672, 2890840, -45520096, 0, 61616000, 80483252, -37990656, 104338906, 0, -8870796, 25860096, -57174004, 49401576, 0, 42987008, -75559500, 8926104, -95117028, 0, -178476794, 89944864, -42845310, 677376, 0, -16511184, 50684212, 58304000, -4304826, 0, 2261392, -13971456, 118080000, 12923904, 0, -30251104, -46381348, 373248, -117847000, 0, 10493532, -66368248, -223380048, -36293184, 0, 59017680, -13333410, -39517184, -56043488, 0, 60992640, 1811200, -32006016, -13578992, 0, -21254400, -176498048, -2037768, 2168208, 0, 185746000, 35474688, -96589980, -4718592, 0, -101820624, 6872068, -27650304, -211393238, 0, 14516388, 43008000, -1299616, 16364592, 0, 73748800, -6231168, 160243616, 126312800, 0, 244611995, -54039332, -61398000, -96664160, 0, -5968728, -3661048, -65925120, -30654252, 0, -30479232, 11534400, 136436776, -1423184, 0, 40759296, -115834188, 59929488, 199429544, 0, 236196, 119523200, -48816000, 16588800, 0, 38700256, 129608118, -1170560, -79782630, 0, 74881800, 35017728, -42729480, 131014128, 0, -20736000, 254563688, -86968096, 18796536, 0, 52946122, -2733984, 45794204, -60800, 0, 83497776, -132476000, -2985984, -1548288, 0, 98184672, 4011776, -23064516, -31622364, 0, 1436672, -83484432, -120456000, -64863200, 0, 86732846, -75981312, -88848, -13775360, 0, -11977632, -8479580, 88166400, 179118000, 0, -234015824, 17745408, 94041064, 158721568, 0, -57419712, -5468304, -91837584, -123435740, 0, -76790052, 104296824, 45642344, -21761136, 0, 164194224, -67882752, -27942912, -48395340, 0, -8200000, -22636608, -42346476, 55021200, 0, 16791552, -208037704, 3388480, 41686380, 0, -72586368, -13122000, -127952972, 29185280, 0, -47846400, -234165916, -33939936, 89073698, 0, -17438652, -262144, 201562000, -42508800, 0, -13276896, -56483784, 59397408, -3571728, 0, 81990278, 241371456, -69478902, 151888000, 0, -346176, -55300608, 21169152, -48081924, 0, 110175900, 53494848, 122372808, -23477424, 0, -27792128, -246934800, 54405432, 207370608, 0, 54554436, 185592768, 115146012, 12386304, 0, 4936000, 857304, 74911616, 158819600, 0, -28030540, -46253440, 23068800, -2712000, 0, -17682624, 130950000, 91143696, 32983992, 0, 7466000, -26496720, 49684992, -2270880, 0, 33177600, 84310148, -1152000, -141229227, 0, 83926980, 11639616, -81575960, -50013936, 0, -10838016, 66614544, 108140616, 144174500, 0, 195006790, 90268416, -26900100, -36182272, 0, -61797600, 26317156, -71622336, 816408, 0, 266578984, -5971968, -84390216, -114459776, 0, -4221184, 121105532, -102186432, -281673172, 0, 54432000, -147156968, 5489064, -38153088, 0, 311370400, 99437472, -28979200, 151202386, 0, -102643480, 19232000, -1440468, 31873104, 0, -34691328, -1834576, 35490816, -83436480, 0, -38931830, 45937872, -163114000, -1552384, 0, -192880816, 265623060, 51585984, 10118800, 0, -43522272, 20793856, 106802604, -47628000, 0, -21234944, 20995200, -4032576, -225681792, 0, 125361072, 11461572, 152608770, 33583104, 0, 44319312, -168975400, 58576768, -99115164, 0, -226277100, -2361600, -96367864, 193403824, 0, 22770944, -67879872, 73350144, 3941632, 0, -30046356, -162206064, -174519576, -3779136, 0, -3072256, -127350000, -65863488, -35207082, 0, -100172244, 18728960, 1818288, -173971728, 0, 58049856, 207465216, -45356000, 42856308, 0, -290091552, -17434440, 106989696, -97970496, 0, -13395856, -663192, 43743744, 54758000, 0, 22459032, -64181376, -77026668, 1281600, 0, 24772608, -7183692, 39425600, -89063300, 0, 6658832, -222290384, 138643254, -22986752, 0, -15983712, -98193468, 1843200, -35365248, 0, 26573000, 1421568, -42264800, -50936736, 0, -126478464, 241987452, 21251808, 45254780, 0, -97637400, -2304000, -155560308, 37713600, 0, -171611200, 36937620, 87492864, 318793926, 0, -212486272, 63620544, 82305000, -213986304, 0, -331776, -84399256, -128937352, 8790336, 0, -21395600, -97677216, -3513596, 131200000, 0, -36334896, 120773348, 41522256, -12618526, 0, -174496716, -54215680, -183843072, 26792208, 0, 12510624, -1330848, -218859888, 181327808, 0, -76306176, -51690504, -35174412, 1971712, 0, -101016000, -92979800, 4194304, 47301588, 0, -10204176, 15676416, -210813816, -69382656, 0, 57147648, 134846684, -4838112, 76204800, 0, -58539510, 199574656, 199618332, 5538816, 0, -134410400, 103171968, -71200000, -77076174, 0, 72320640, 1865728, 49053024, 110910560, 0, -46976832, -370145072, 158964304, -1458000, 0, -41604894, 47178288, -127140708, 93231008, 0, -3771104, -253257932, -13716864, -236575354, 0, 259044984, -156630080, -4723200, 10760760, 0, 43392000, -45793188, -250085928, -147699772, 0, -116028000, -28345408, 39956454, -119456000, 0, -7558272, 40365564, -136124672, -88155648, 0, -88417696, 18432000, -199714120, 5943872, 0, 165978512, 81517968, -26567856, 116099712, 0, 6045048, -66057672, 515336000, -36676800, 0, -108490672, -41032602, 1376256, -233973630, 0, -187692616, 87487488, -43906212, 73936000, 0, -13062528, 81121312, 9380216, -207082800, 0, 77098026, -1964736, 401124596, 67538944, 0, 77136192, -111138048, 15770304, -2944080, 0, 26317224, -87825024, 117230844, 84266784, 0, 134328000, 185967000, 2843136, -321058480, 0, 24961742, -145960000, -5557104, 76169440, 0, 24111468, 261398000, 29353216, 74136222, 0, 75427200, 7653024, -755718744, -131053648, 0, 24838144, -6866400, 28819476, 321331320, 0, -49334508, -78942448, 206250400, -663552, 0, -56537600, -4782969, -18655168, 107646000, 0, -11354048, 64521216, 32800176, -259584816, 0, 23703840, 189976896, -4239232, 77002128, 0, 161625600, -4582512, 306962604, 56899584, 0, -7205200, 127502548, 37785600, -150135007, 0, 296802000, -3854592, 259559764, 55363176, 0, -63066112, 47620728, -169132344, 5104208, 0, -88899758, -335836000, 31352832, 49156096, 0, 5731776, 256962000, -25806912, 21278916, 0, 151568800, -29092608, -5292000, -86667712, 0, 11077632, -1781204, -145393056, 92780252, 0, 1799172, 152140800, 56464460, 109152000, 0, -30909968, 4924368, 10611072, -93953664, 0, -18892752, 54496448, 79172460, 275372400, 0, -20505600, -133297520, 158017064, 110733156, 0, 8150016, -27433728, 172894496, -106541312, 0, 308728000, 254513796, -419904, -16626674, 0, -266226768, -29491200, -241778532, -36436896, 0, -230414432, 166050000, 399957184, -95688816, 0, -412840586, 6449984, 113666598, 75963520, 0, -68616720, 237022220, 36864000, -1937160, 0, -159363288, -33416064, 320563224, 163601024, 0, 4860416, -292124452, 85539600, -119547456, 0, -73353600, -13388896, -149439900, 5308416, 0, -53757408, 208967202, -174550528, 318324382, 0, 280359860, 56217536, 72327492, -26125056, 0, 148416768, -1775968, -98327040, 155880612, 0, 515040000, 7010064, -688463800, 157952, 0, 92266288, 31540608, 21293568, 382086576, 0, 2361312, -318432000, -93862052, -51299064, 0, -31547392, -229654656, 4190400, -308784996, 0, 461645178, -162348992, -129600000, 163266816, 0, 223761600, -314369564, 136515648, -17360406, 0, -71600272, 38686464, 15306048, -273576000, 0, 120680448, 212050692, 54918000, -10853024, 0, -5010084, 160461480, 291096256, 75282624, 0, 4613584, -151186500, -29851648, 632892400, 0, 387348920, -74109120, 2976912, -234566064, 0, 23328000, 26260680, 200947824, 47407680, 0, 215439162, -60964128, -146546508, 60337664, 0, -78736176, -11224000, 31002048, -516257206, 0, -27050580, 75571200, -262987716, 1741824, 0, 100415616, -121431600, 107620000, 79617552, 0, 281668769, 260220600, -16532262, 123518048, 0, 102420216, 6530328, 615424, -138636000, 0, 270531492, 85478976, 284632320, -174643200, 0, -95101952, -81701276, -58185216, 537303800, 0, -111153546, -5219648, -298134308, -96720768, 0, 165722496, -20083734, -96985664, 5242032, 0, 218304000, -22020096, -202375944, 131463120, 0, -1524096, -324020920, -652785600, 37150164, 0, -60276198, -131184000, 1195640, -41011200, 0, -327144016, 314948100, 31435776, -337999536, 0, -29078784, -58638208, -228010000, 68064984, 0, 47105280, -839808, -269869848, -105319700, 0, -560830800, 361077552, 149328558, 2048000, 0, 81659664, -324460188, -149203520, -132789780, 0, -2951984, 88913664, -13785712, -182680128, 0, -118425856, -435181380, -4075200, -480687328, 0, 30552732, -186819712, -66832128, 47822400, 0, -165384000, 4584978, 109862400, -227808000, 0, 354255600, -1451392, -79818048, 25443936, 0, 10616832, 217126000, 257298616, 229096404, 0, -347253940, 62213184, 219386868, 181664768, 0, 1752256, 220621000, -96768000, 296833536, 0, -36820332, 67827712, 9362976, -165934800, 0, -176777728, -360548136, 389335600, 361355000, 0, -390901434, 42587136, 121588497, 2560832, 0, 217494360, 2679052, 61673472, 13429638, 0, -134789764, 148331520, 357312104, 850336, 0, -81667328, 68033200, -25952400, 347763224, 0, 3202164, 426197728, 147094252, -91708416, 0, -354579456, -134841348, 77372928, -240513378, 0, -498302340, 84672000, -268927200, 55888080, 0, -37324800, -488789472, -95217360, -87075576, 0, 150565248, 2633760, 282674000, -271304480, 0, 239266672, -563181872, -78789888, -509168, 0, -294781788, 176204736, 13850416, 46656000, 0, 4198400, 195678216, 113421080, 11377084, 0, -60005988, 250496128, 6151464, -130400256, 0, 136800, 62004096, 53415744, -187869996, 0, 368821088, 6718464, -276903696, 338200192, 0, 226400000, -668348964, -9026496, -339037200, 0, 71150319, 335392968, -338736384, -3232512, 0, -399364784, 271026000, -103199744, 535904802, 0, -16154784, -76188992, 170957952, 434983440, 0, 30994560, 523094536, 12128000, 26949672, 0, 127016838, -198374400, -43969160, -77766656, 0, -193441536, 209894400, -39927168, -162452000, 0, -357123528, -2278400, -238803484, 129194352, 0, 12771008, 206634564, 231649088, -3048192, 0, -258069504, -169996136, -234667854, -246476896, 0, 48962556, 274144972, 28415488, -369437004, 0, -457631000, 62871552, -4048544, -276757520, 0, -2527232, 273843308, 50932368, -449421192, 0, -123797700, 144204000, 615206412, -37780992, 0, 53964992, -7624080, 173577600, 401667232, 0, -242742972, -67046400, 29524500, -3712896, 0, -65666880, -289752224, 177827328, 107654400, 0, 9504400, 76364856, 658874412, -146320000, 0, 365222592, 311607556, 589824, -644608558, 0, 95644800, -15627264, 18320844, 29873016, 0, 173648384, -133644168, 154828800, -346998348, 0, 224528704, 16490752, -543085776, -73817344, 0, -341748000, 520593748, 310216384, 778896, 0, 281579504, -47630592, -3527032, 464120000, 0, 2365952, -193536000, -120363408, 23018852, 0, 52824204, -236066104, -5699896, 62532288, 0, -94197600, -122412222, 179584000, -89867578, 0, -511672480, -84091712, -417583728, -379184944, 0, -27869184, 24862400, -64916052, -11106000, 0, 776785026, -168551136, 296663040, 8601088, 0, 379962544, -1252240616, 104070240, 415376014, 0, 6102000, -9846784, -211134620, 39785904, 0, -183416832, -205073316, 8364736, -127268936, 0, -683538000, -10338840, 59617620, -87205376, 0, 5109480, 361952092, 83514368, -74649600, 0, -611135984, 2592000, -251870000, 165623808, 0, -83872512, 404750484, -26189136, -6773792, 0, 112531356, -157579776, -364690900, 24385536, 0, 3444672, -243316386, -460524416, 193831470, 0, 457086404, -19130240, -203103936, 423560000, 0, 81410112, 338979984, -66346160, 139044600, 0, -133285806, 161150256, 399117436, -71033696, 0, -299956000, 11380024, 13436928, 1166162923, 0, 257534496, 156721152, 97817328, 9497664, 0, -32768000, 229919472, -357757320, -591885228, 0, -6465024, -14965952, 331103178, 47231744, 0, 85844448, -446466000, -10746752, -700583400, 0, -316772736, 65203200, -358912928, 61989120, 0, 72946848, -177413724, -43272000, -397040400, 0, -71714484, 177715944, -11401860, 78055488, 0, 7938832, -79854336, 23222272, -14576000, 0, -175579856, 368147200, -103360212, -506785392, 0, 3492864, -415432648, -211364712, 433981836, 0, 45386374, -116068464, 7562776, -28036096, 0, 73741264, 162781000, -46786176, 499285248, 0, 107163000, -149807616, -437137084, 47778624, 0, -330608000, 9073296, 351298400, 788684464, 0, -158558224, -339000000, -25788537, 9879296, 0, -75561984, -786696948, -42864832, -99718452, 0, 475185300, -131797728, 933250000, 266237680, 0, -13605376, 733596148, 5313600, -131333760, 0, -435158604, 127646992, 33748236, -51234624, 0, 549800128, -165037824, 87705792, -54389418, 0, 546796800, 1179648, 364963644, -199787200, 0, 8503056, 419510536, -588228320, 6912576, 0, 868298000, 148192848, -438941664, -58311424, 0, -10752000, -258423308, -42140160, -444311028, 0, 391436388, -136892672, -18437200, -130612176, 0, 8146688, 102051000, -95261184, -278122812, 0, 494561648, -16768624, 39227490, -67174400, 0, 220433616, 24166040, -527648000, 30140676, 0, 125064576, -98423424, 501365632, 16481280, 0, -84659072, 694491972, 144408096, 686133000, 0, -2883600, 94143192, -831619204, -55738368, 0, 80347568, -88707600, -10189824, -120945766, 0, 885270720, -37829184, 500153364, 223823824, 0, 51720192, 208140480, 161982600, 35963352, 0, -229322000, -4147200, -356095488, 258476544, 0, 421475984, 408447144, -3198528, -307107390, 0, 114607656, -194048000, 584920688, 284576544, 0, -8754432, -47816568, -333041808, -380615624, 0]