# Trace form for 525.8.a.a, downloaded from the LMFDB on 13 March 2026.
[0, 1, -18, 27, 196, 0, -486, -343, -1224, 729, 0, -8016, 5292, 1786, 6174, 0, -3056, -8358, -13122, -5884, 0, -9261, 144288, 77700, -33048, 0, -32148, 19683, -67228, 155742, 0, -310000, 211680, -216432, 150444, 0, 142884, 433618, 105912, 48222, 0, 357942, 166698, 724492, -1571136, 0, -1398600, -175320, -82512, 117649, 0, -225666, 350056, -132198, -354294, 0, 419832, -158868, -2803356, 2648628, 0, 835478, 5580000, -250047, -3419072, 0, 3895776, -3486308, -1638168, 2097900, 0, -2872260, -892296, -5951882, -7805124, 0, -1153264, 2749488, -867996, -1680904, 0, 531441, -6442956, -3577524, -1815156, 0, -13040856, 4205034, 9811584, -6254826, 0, -612598, 15229200, -8370000, 3155760, 0, 5715360, 5257054, -2117682, -5843664, 0, 15024954, 4061988, 16006576, -2186064, 0, 2379564, -5301048, 3857868, -6463402, 0, 11707686, 1048208, 14833302, 2859624, 0, 30525432, 1301994, -47675304, 2866794, 0, 44769085, -15038604, 9664434, -60760000, 0, 4500846, -13502360, 34448256, 19561284, 0, 12247044, -42420672, 2018212, 62753544, 0, 10230192, -12399978, -37762200, -5954332, 0, -4733640, 51700680, -14316576, -2227824, 0, 107133876, 3176523, 84989128, -31099026, 0, -14327272, 7202016, -6092982, -49490784, 0, 9451512, 58107154, 30256272, -3569346, 0, -26651100, -9565938, 23600428, 70156632, 0, 64395432, -26580144, 11335464, -59558721, 0, -4289436, 142000432, 70967070, -75690612, 0, 24496896, 71512956, 112586868, 115061424, 0, -2260906, 11026764, 22557906, -95104800, 0, 150660000, 66997728, -34362720, -6751269, 0, -80713548, -92314944, -70793906, -94626972, 0, 23059204, -75347334, 105185952, -157565104, 0, -94130316, -270449172, -53419506, -44230536, 0, -288118368, 56643300, -5458016, 47166144, 0, -222118276, -25910808, -77551020, 95418864, 0, -24091992, 106330000, 116341236, -160700814, 0, -14927388, -210738348, -140214608, -72606240, 0, -266999436, 113463204, -31138128, -100120090, 0, 74236176, -190628208, 372064038, -23435892, 0, 519131088, -45384408, -51602292, -95095284, 0, -286367158, -805843530, 14348907, 163753688, 0, -173959812, -10508824, 379440000, -96593148, 0, 55342260, -49009212, -622843200, 243042480, 0, -182427392, 59774898, -352103112, -148730974, 0, 113535918, -220446792, 123562212, 264912768, 0, -36327816, -168880302, -683316368, 429280314, 0, -548961424, 25542048, -16540146, 223199604, 0, 411188400, -332835614, 107177976, -225990000, 0, -454456542, 85205520, -82184900, -562962960, 0, 257698368, -122774106, 154314720, -340482509, 0, 141940458, -1166568872, -371449002, -57177414, 0, -530748432, -157778928, 559782468, 138772200, 0, -248500756, 257890896, 405673758, 17981504, 0, 109673676, 459953332, 538899648, 432177552, 0, -494972784, -59023728, -359666018, -1045928772, 0, -329457184, -184941774, 64248228, -1248427872, 0, -143128296, 479719800, 49178472, 104162436, 0, -424807704, -174511854, -438121008, 60134760, 0, 1025183636, -701194704, 316107522, 478442592, 0, 28301616, -1130727362, 1072056978, 400499154, 0, 2484960000, 77209848, -40353607, -886778208, 0, -1277407260, -628828704, 824186664, 905466662, 0, 35153838, -1696826880, 113857530, -1287233208, 0, -1225945896, 77403438, -2071105632, 271653708, 0, -859250283, 40696308, 1208765295, -120069208, 0, -406042308, -1350926720, -237451200, 260939718, 0, 45343914, -1640520000, 1097673970, -1205959104, 0, 214591680, 278155212, 121522842, -431536012, 0, -364563720, 1452843864, -529317600, 930102912, 0, 1274290308, 528154668, 1030382584, -12700986, 0, -649416600, -144002376, 330670188, 1356252012, 0, -1145358144, 1940867026, 2836171872, 54491724, 0, 1293349290, 1694345688, -553660000, 2944890984, 0, 961551108, -3475881888, 276215184, -827345038, 0, -334799406, 3137288896, -908479404, -1019579400, 0, 378060480, -160766964, -848990592, -1688082468, 0, 1246730318, 3998128968, -127808280, 161810352, 0, 1395918360, -286568954, -1039005408, -386547552, 0, 1418066916, -60151248, -2110644218, -1913940000, 0, -1266826792, -457186800, 2892614652, -2436378256, 0, 85766121, 268692984, -2175989328, 2294706456, 0, 2523862944, -839673702, 1172741696, -388947870, 0, -2869263072, 2907327192, -386836344, -2042337672, 0, 194454432, 3976212790, 1802161620, -164510514, 0, 3617197890, -1336251168, -2410215368, -475947552, 0, -6697152684, -1759775052, 255190824, 1195803644, 0, 1568893158, -3241920672, -5807527872, 816919344, 0, 561891624, -96372342, 1711715112, -4187974344, 0, 774441748, 5154608844, -719579700, 8774740660, 0, -258280326, 3659818696, -1022625072, 637211556, 0, -3636136680, 1894229064, -1301691636, 189158832, 0, 947360000, 985185180, 1738676664, 651843356, 0, -717663888, -996160680, 787013928, 306057528, 0, 11211177600, -1608085467, -2646462560, -608920950, 0, 2041495526, -1125683712, -115814772, -1075948164, 0, 3834011664, 1405365120, 2677157532, 1916110890, 0, -1123963122, -2043646524, -4131649100, 2400420624, 0, -2224119816, 2590980000, 661416192, 2632464553, 0, 1930849812, 395569552, 639284412, 3039845436, 0, 4267240992, 3106658448, -7727045652, -943074384, 0, -5152568074, 9881305632, -61044462, -1769221440, 0, 297722628, 696991132, -2430395688, 609063462, 0, -916385928, -2567829600, 576550072, 5991041052, 0, -1167049072, -2889084606, 4067820000, 1293942712, 0, 1808938656, 8180217756, 5014877508, -927793440, 0, 1479328200, -182284263, 3515646240, 1911221730, 0, 373937756, -2806048896, -2179265796, 2209933908, 0, -2492503488, -1915387418, 6128685162, -1911435462, 0, 1227090732, -2554928244, 1059699168, 7285103568, 0, 6686082036, 4104485724, 622598508, 1824040000, 0, -2034378018, -1325136608, 3091173738, 2840020704, 0, -6095409096, -4254257808, -2497899600, -9696119508, 0, 2122385354, 4473013608, -2541518532, -2808145312, 0, -7302127644, -2112116288, -1245525120, -1442326662, 0, -313121520, -1194224472, 2419374418, -8279159976, 0, -3365373312, 3533701542, -7779195936, -171721180, 0, 1529369100, 8909510112, 2145405318, -147366432, 0, 6473988324, 1273485888, 11389002184, -3624179244, 0, -10289307040, 2057426496, -5997193452, 3328951932, 0, -699591816, 210121114, 22471701696, -2093877540, 0, 11060578218, 2576309328, 1751548180, -5223615600, 0, -885212496, -304738080, -650483784, -21231402048, 0, 2870910000, 4625683888, -1910915286, 3141213372, 0, -1093870752, -4338921978, -1082425680, 2669173368, 0, -1208890498, -18453305448, -403039476, 4378889376, 0, -5689935396, 12101153400, -5209708224, -3785794416, 0, -6697191648, -1960368480, -2653296002, 20353092516, 0, -11673509316, -9292624074, -7208984772, -1803169522, 0, 3063506508, -44729280000, -15201816144, -840729456, 0, 726364926, -2703242430, -2214047552, -236105628, 0, 3495199580, 13909545720, 2004376752, 11318916672, 0, -5146961616, -2991679236, -16298399916, 10045729026, 0, -13475557890, -632769084, -2551408312, 27407281152, 0, -2049435540, -5153559222, 14016539376, -13716393346, 0, -1225379016, 7655907024, -24087000000, -1393261884, 0, 22552039104, -2567572668, -4889766744, 15236651568, 0, -5490255568, 15466505094, -7731913266, -443137576, 0, -21757775310, -8496613520, 749819952, 387420489, 0, -6055304136, 4421349576, -10298261606, 24316680960, 0, 16447536000, 27946244928, -4696914924, 20192221604, 0, -283738248, -816190452, -12096632100, 10244880000, 0, -19758131460, -2608014996, 13131554688, 1818259464, 0, -3495656992, 535777920, 1494241020, -5006793816, 0, -1323248724, -12741999230, 7767648216, -16816766400, 0, 5660769318, 6562146960, 2216946886, -15819855408, 0, 9527716800, 4730449608, -4925539584, 13974723698, 0, 1613922246, -13875605576, 12624621798, -9506784024, 0, -6434634096, -4015736298, 228617748, -2106130728, 0, 23024036160, 11689498800, 3065469786, -359535344, 0, -5952063384, 22978617628, -14768077464, 3336179724, 0, -5087822586, 7152644736, 1492163708, -34935606468, 0, -30882760384, -578645778, -980851032, 1465324560, 0, -4559768154, -23280287220, 47710286112, -18449541936, 0, 9965880000, 11590568478, -18390543696, -9578792262, 0, -22564822156, -10470223176, -14821958448, 62565873984, 0, 689635296, -4262910928, 14892210684, -446583942, 0, -23352377202, 6026389308, 14843339248, -19592049024, 0, 16352629272, 21866854824, 11102086800, -16022502754, 0, -8986561578, -6106462592, -983310342, 2893805352, 0, 9244564224, -6101730000, 30385484424, -7374745632, 0, 7005694255, -22441145724, -12270326634, -43535182096, 0, 2300549040, -15355796155, 403997088, -2218992300, 0, 33692118600, -15199999920, -29986078310, 5158241172, 0, 6488482752, -30759425382, 6957855936, -16650808564, 0, -3314900862, -25525204488, -19856184708, 4166497440, 0, 37991595924, -9193027743, 20840680000, 13474126464, 0, -6226546088, 7911204048, 3832392366, 8229362400, 0, -31497359544, 6359218618, 43854808608, -10029123054, 0, -13725063306, -1543790178, -2434646396, -2925768048, 0, 39167807904, 33217132944, -14330207664, 4631309480, 0, -4260031056, -27482063168, 1031582880, 15114126636, 0, -11815751808, 3746849400, 7001061660, -48280020000, 0, 1104910884, 51646735296, -6709520412, -18155961648, 0, 6963054192, 17127742348, 22238787984, 10953191466, 0, 30859203156, 485500608, 28677432384, -71571830220, 0, -19623537640, -4200736092, 2961189252, 12306110312, 0, 12418739964, -65109562020, -5129856360, 14550290496, 0, 43383876624, 11668793904, 32967466560, -28445789106, 0, -692246716, 72924551448, -13364265168, 31675950936, 0, -1593640656, 40862617486, -21524465592, -9710982486, 0, 15262192458, -28240076844, 27812093400, -8094207168, 0, 104535501696, 23285888352, -8895343968, -10630061252, 0, -4993427898, -3508955856, -29808517698, 1734702156, 0, -18638675664, -33707552544, 75383538192, 4253192454, 0, 68587385889, -13939951464, -3864463992, -56127962968, 0, 12952434600, 7130760160, -54797360040, 1327818744, 0, -43296924948, 2812385772, 2042335876, -65876736528, 0, -2553220768, -27744175170, -11469808008, 50138685216, 0, -4711820058, 65450460240, 3012766008, -11829267216, 0, 23430449448, 1623638520, -2059729504, 56293028400, 0, -26784547936, -65620800000, 27679958172, -17733333240, 0, -18932257008, 24678396442, -11733180408, 8534903094, 0, 4910585568, 12917949984, -22137232824, 10847082960, 0, -14166250704, 777853032, 764143632, 797592674, 0, -30529638774, -122077267200, -21667795818, 28945538406, 0, 16526888640, 10813477158, 10960577100, -14121930768, 0, -13379568970, -36746919468, 67093920000, 43613012992, 0, 2084665896, -3002094544, 11715880008, -1089547389, 0, -26476697460, -23943011616, 31649097286, -25296572160, 0, -29151270904, -6982925124, -34489996020, 6044161208, 0, -16978375008, 20231336196, 10666965918, 22253039928, 0, 74369683800, 24447599874, -14990381856, -18134023362, 0, 37352266028, 24218193552, 949153626, -46637640000, 0, -45814325760, 4914254296, -47384361954, 3074153310, 0, -17704518906, -34755296616, 28924439632, -2470291488, 0, -11507119416, -42140544864, -33100539192, 12463503254, 0, 2089892826, 10654157248, 67532534556, -55919852064, 0, 84138941544, 7334650116, 16975338912, -6389457864, 0, -13622364000, 92746225332, -23199757641, -107596439104, 0, 1098800316, 30330314776, 28576603776, 32636662965, 0, 15748086660, -3241868616, -63568573934, -12545840376, 0, 15177573072, -68657889198, -10963142316, -19930753822, 0, -36475021440, 16494946704, -80915475492, -6411182400, 0, -10377901296, 7045372386, -65235780344, 62555082474, 0, -120440031264, 7288102368, 1224285678, 52003522908, 0, -44294040000, -11016431606, -23290968816, 29637197190, 0, -15584527152, -32560895808, 12817705708, -89073482232, 0, -90267795144, 9141327300, 5793975360, 56823510650, 0, 7510190724, -16108240400, -128308713216, 3281116734, 0, 8777626560, -11651472324, -34401991140, 29138562264, 0, -8094946804, -6730879608, -9843220440, 17523489024, 0, 39226784328, -134421580000, -24063724776, -14291575200, 0, 74708960928, 25112778624, -78757582178, 34476973524, 0, -66734571764, -11171119236, 34405838316, -4915952552, 0, 14260176036, -22087633176, 72764154840, 27820329768, 0, -19074585024, -342926622, 18188951392, 9116989392, 0, -60856199908, -72804004392, -17534248200, -73880743032, 0, -3888064152, 42493200768, -32832720000, 8928095076, 0, -91560445614, 36618804324, 20428641303, 91788258240, 0, -55641127284, 54390087984, -30924669888, 55746602964, 0, 52403409702, 38065207824, 55520554626, 76576640544, 0, 27199351200, 1471276548, 174530151144, 51810630432, 0, 8412057410, -38202936372, 34920430830, -48706148176, 0, 45747333576, 24006349080, 17536580928, -14948820000, 0, -24341705010, 79512056568, -31523063030, 38018093184, 0, 20117819648, -79628170398, 25961879916, -10271784600, 0, -93848810976, 5636187360, -78846198672, 7457809968, 0, -43548739524, -22338316026, 90150853072, -20797957386, 0, 69360894872, -8402435328, -9039583962, -63606627756, 0, 84706800192, 45037782418, 3090981240, -24528943908, 0, 49745829756, -27528643800, -118903748832, -97014665664, 0, -38617295724, 112833833064, 10207632960, -4908245446, 0, -4340708028, -70494539528, -39466068432, -22922745984, 0, -71123156496, -45578226636, 65235226392, 131870360556, 0, 9389098444, 185207526720, 33661718586, 5136842624, 0, 107949482136, 775490758, -36248587704, -3450823560, 0, -110962020000, 4368879504, 20513436272, -3782180052, 0, -244691862912, -3259560354, 37689795720, 101200962008, 0, -7737361758, -199090407924, 147709075008, -28053146016, 0, -31527867240, -10436783904, 32620946400, 50804662938, 0, -92888041252, 9638980512, 38287806732, 5485285440, 0, -1624083696, 139632516574, 382165236864, -56987393886, 0, 33271588722, -51676380000, 8611610248, -28886923872, 0, 34396475148, -158083421436, -34204323384, -22980220704, 0, -12344043600, 75769162560, 26834567844, 78100595604, 0, 11786412960, -65782212912, -48045120624, -29800510560, 0, -12912503590, 21760028964, 2315685267, 200935992656, 0, 7254710568, -118224681152, 10932913344, -58751711856, 0, -202659822624, 61957074312, -224592520000, -217820761200, 0, 32534096256, 27684746964, 68144299488, 28587744736, 0, -22671189954, 120549449664, 14048995632, 31664025792, 0, 47759328036, -10501592490, -221622562952, 16900377840, 0, 24282309758, 72899874504, -77470102944, 167267233332, 0, 78497834184, 205798395600, 32457051396, -10444581288, 0, 83848724742, -55143117144, -27304687440, 487052160000, 0, 273632690592, 6571279284, 5250269664, 93092692791, 0, 107357745330, -7909306972, -90880641750, 48658363740, 0, 153360466560, -4441783878, 4249901304, 25844135562, 0, -43557916162, -62913592440, 97664343030, -86863693680, 0, -36078781536, 35020873688, -123250425984, -65075814936, 0, -9467671728, -12850583904, 54044830672, 53850226248, 0, 177471465752, 108234917760, -180823122468, 160062416168, 0, -47513926404, 242560042020, 64916640600, 6890152248, 0, 45925349616, 32286698388, -276137220096, -145913895102, 0, 29900945592, 22316075880, 42360115266, 92764065996, 0, -87531858144, -11543635972, 246895080228, -156803252544, 0, 18322890558, 22056822288, -40504401056, 19114748256, 0, 433566000000, 42622376460, 15171073848, -30384711010, 0, -2602053234, -140835182976, 198471123882, 46216308024, 0, 53244126768, -113075307288, -274259728224, -91679234628, 0, -98172304704, 98824600224, 20909927196, -168413055468, 0, 139174438788, 20164418704, 2767348944, -19428651900, 0, -44543664792, 236917997820, -76872205958, 152939043360, 0, 1872099488, 54349200000, -6973568802, -32674140844, 0, 98815104792, 108995474448, -16177987392, -27610876944, 0, 185368708908, 17204712012, -264781637120, 26492277372, 0, -202968546736, -265661894400, -98175690360, -503032408704, 0, 51144184728, 76186568668, -363459988872, -35145674172, 0, -164617785270, 5107288464, -74901076532, 8887407144, 0, 217739377800, -47511520896, 25578720000, 109203853802, 0, 26599999860, 215144098120, 169514402586, 46944269928, 0, -82005219072, 17599770612, -32728670352, 35238384264, 0, 9890439136, 62921825856, -19376924976, -37111737600, 0, -26896338360, 99398223648, 54518421552, 21249376056, 0, 35017775928, 8263553256, 52277835708, 229355986140, 0, -84581058352, 155210094156, 302701795200, -36471190000, 0, -43418307609, -101893847724, -55140264840, -71454489120, 0, -39905043948, -16440865650, 98793382752, 47729925312, 0, -59813644156, -103746249600, 55120379202, -85148092944, 0, -30393460224, -20588780916, -251545026564, -3126998844, 0, -270886131600, -29050600428, -83047400024, 86651740944, 0, -227243192364, 5120094084, 103518314928, -237008951386, 0, 37944858240, -16065557024, 44015701362, 72283253364, 0, -2489393256, 51734994030, 37910353104, -168246617760, 0, 48093610544, -414432650880, -30347004294, -127285653600, 0, -55178456148, 64947199624, 24903940320, -111554525700, 0, 205327909980, 64811356848, 79957585810, -413615117304, 0, 92225136816, 21050151216, -60051235032, 36864880700, 0, 69956460000, 91580806548, 208942523388, 17858237184, 0, -26858946744, 71076542931, 380409937096, -38917878972, 0, 314152772056, 192859687296, 52132944924, 10415624004, 0, 10680377904, 215921660458, -26375842080, 17260679124, 0, 270101919702, 82075826772, 34341190870, 253496460840, 0, -858785150016, -179137809108, 115215506784, -32242809358, 0, 83879778096, -108517360000, -103294879986, -208630232604, 0, -45916259424, -25463008368, 172418260716, 40153087416, 0, 229410197390, 406166798808, -139119337998, 65385475344, 0, 266795252064, -98091965204, -681272850048, -1648200474, 0, -127617965034, -47768978880, -223174602000, 76732396704, 0, -162159627448, 162470638566, 8038510956, 249289792416, 0, 18818760564, 420342789636, 40981380000, -65620683576, 0, -267180106464, 16444713474, -48916096256, -43938457332, 0, -24115214960, -178061963184, -24742420056, -393603386832, 0, -69331399200, 79630531198, 288405049572, 15566851944, 0, 114847412352, 161758108404, 177048672184, 61524585216, 0, 17699586156, -62550597336, -31510324944, 250608511670, 0, -78005284362, -57731360256, 32617682412, 109831140000, 0, -330864163728, 34936453224, 132745421376, -462461231400, 0, -66631798517, -126102496590, 48841343712, 244359142328, 0, 220865879412, 98223935194, 271872769824, 135401692716, 0, 36803396184, -25050422880, 75346668322, 276404330790, 0, -27983672640, -253917144486, 39941861400, -122136633172, 0, -4921675101, -606458134800, 21873220584, 94922448480, 0, 539749409580, 51602986710, -56167514984, -203964935274, 0, 412502621976, 16200002688, 10096319412, 553669656876, 0, -75763320192, -125578565532, 299714554152, -58840176492, 0, 71034393678, 59668215516, -401929257884, 277941115536, 0, 357411324744, -465786946464, -67297594176, 3604526632, 0, -51715460286, -413686266728, -178808902830, 165474499374, 0, -130147920000, -51608757474, -242534276352, -76021907760, 0, -163145546410, 112077829584, 33131449764, 19752156512, 0, -68983062588, 132739880164, -89608612800, 28611877536, 0, -133782962208, 196697796336, 198487697590, -114465935124, 0, -477530138176, -18982395180, 180524214972, 217107067136, 0, 110821114548, 247051139508, 259326115464, 16810159716, 0, 43823635128, 49249080000, 18271122912, 130119014676, 0, 213635217600, -426493908288, -54928206486, -597908392992, 0, -35778688416, -403382030306, -83363570640, 83461690926, 0, -22146360708, 76680559008, -330418215488, 171622680192, 0, -18568491840, -273370054344, -164576045592, 126577330550, 0, -114864960816, 62572595456, -189181030848, -67443289200, 0, -76233782520, -261795226716, 869040360000, -20502790014, 0, -8672829910, -19888395912, 57304404558, -562375562112, 0, 120771367416, -10634436952, -45330570912, -68621000364, 0, 411336301788, -75819923424, 51014724082, -308299362264, 0, -138878961696, -130606240800, -197157446388, 44306159184, 0, -57027139776, -555465656808, 3564754992, -33629178240, 0, -516193782912, -38942819874, 779337706840, -821074680000, 0, -193068781744, 122546990160, -8454281040, 75613249656, 0, -32244060744, 213066434304, -221509985616, 65323109286, 0, -42381838716, -223537319352, -30932505736, 708970786440, 0, 92337414480, 273449468280, -90865079424, 253070046957, 0, 95409941634, -472402212128, 54021113916, -210038290272, 0, -532493111424, -4636471860, 512024203908, 477422707536, 0, 144603926270, 12460440888, 41292965700, -455406382512, 0, 240556773024, 220096860052, -344915910192, 57925943586, 0, -538703160684, -3978893664, 257748875134, -735527114748, 0, 234377514224, -264929462022, 174797684748, 447302804264, 0, 34384118976, -274719464244, -147243147702, 307503058968, 0, -500617681200, -97852839588, 560661575040, -111638022354, 0, -258998180000, -1138275462912, -277811290080, -419145990336, 0, 55550515392, 188293768432, 191341102536, -161924223204, 0, -183763139082, 89881702164, -568872033120, -8760922464, 0, 536553318564, 305897016396, -18888979032, -277973614800, 0, 5673270078, 116396627616, 29582685462, 606735945792, 0, -820842971424, -56534693580, -76557464172, -88406829336, 0, -123976738116, -1234572946002, 298635611886, 151790582608, 0, 69560351856, -62754391440, 350513401392, 47291800860, 0, 100670499300, -141037621200, 212309896330, -128353682880, 0, -136814323760, -55542860436, -23900737392, 114162615602, 0, -8227928160, 779344649064, -542964580536, -17563062168, 0, -36762045768, -573247855296, 717324464416, 560333767266, 0, 338843187800, 176853983040, 77514570000, 499395153060, 0, 124893464976, -94182693184, -902496333888, -51594712722, 0, -57323432364, 84812761044, -25588507792, -712682789280, 0, -54229788144, 155878593906, -29534510304, -922332374784, 0, -117150893406, -255131560656, -51085085442, -29225493360, 0, 12862800576, 72067680936, -1013274511200, 13649393892, 0, 28189420700, 482121862848, -32640043446, 1059912320000, 0, -498239247096, -542747079476, 193096295280, -10882065852, 0, 18123422496, 118230013152, 121980426862, -444211135956, 0, 127761297776, -84647651574, -153628255692, -274868752120, 0, 326731141800, -88390540224, -294260831760, -140662122048, 0, 398470190832, -102216449232, -67738926240, 42111518358, 0, 650993854460, 154254729888, -180824174496, -14001354576, 0, -52929948960, 633737362318, -14356668132, -71638992054, 0, -127017937440, 549533497932, 116785500587, 762360076800, 0, 390020324724, 174007868064, -315184751532, -441982391890, 0, -250900849998, 41263212160, 31191366432, -194642588844, 0, -119348506200, -48685577094, 254194753824, 47393573100, 0, 103779377044, 240832241460, 82714675716, 400133123096, 0, -1207690560000, -485999980200, -640946718720, -410449035888, 0, 127407007686, -22699695312, -106561148222, 54037701792, 0, -73164475152, -374180012430, 19611853002, -447331516920, 0, -72987545610, 476580554280, -150204161376, -59779283904, 0, -569683751148, -6374851956, 275451563520, 62033982630, 0, 38030657368, 182046712176, 94370388660, 125692652232, 0, 375557734440, 1080755480000, -108794901744, 54118172304, 0, -402603765462, 305610750144, -600619123004, -220296771912, 0, -192005386524, 722615522292, -138967963632, -673896187006, 0, -80775339372, -809803223600, -47598864600, -440056797732, 0, -37426966464, 271234683702, 326412420516, 781538205012, 0, 646999800768, -672340788504, -363840063030, -151240147488, 0, -17084765268, 85235759308, 507832080000, -68888024424, 0, 239906738556, 739996591104, -395865089378, -88456577328, 0, 515963052388, -926958006444, -55334759580, 42150364408, 0, -139146098994, 318681340308, 567483950496, 378446563152, 0, -520639913376, -370342620342, -6167655872, -663032676246, 0, -376965663148, 125299744752, -33085233432, 758529807552, 0, 206709489648, -503599301834, -224343058572, -650349000000, 0, 50023380546, -37618070868, 819515805568, -737981677440, 0, -1215585622008, -87279148968, 608905055808, -157763992876, 0, -69324462036, -525439104336, -336328150386, -132023702088, 0, -184842579264, 411389592336, 115010241552, 112852724880, 0, -182307570406, 245202552000, -148236900336, -1009903342504, 0, 417595637538, 603984229344, 671928782976, -208761658182, 0, -47472137184, -11964714552, -47319216516, -545945665968, 0, -287918523648, 169775664912, -587459933370, 361385030036, 0, -229408565040, -283465559880, 1148492776104, 20245138704, 0, 1144234330812, 10460353203, 136610261872, 1263041873664, 0, 123365444174, 37894332768, -163493211672, 1235842005564, 0, 119376438552, -218440727068, 358753568796, -278053063362, 0, 890400600000, 656550385920, -754508111732, -179611641888, 0, 1456478558856, -191411066412, 444083472000, -475886018063, 0, 754548613056, 113003814112, 15728650002, -126816702948, 0, 407390791536, 545189983308, -1125991484532, 63435028482, 0, 324624736070, 2167920562752, -7660932696, 18196438592, 0, -22037142204, -102360793752, -566260582776, -326609066700, 0, 408473095800, 276611760000, 428210760096, 198295768908, 0, 253612771552, 1008552361050, -533469549420, 383175691568, 0, -70416404892, 280521488736, -56990930124, 354551976576, 0, -230718702744, 49093005528, 556254807408, 126747187020, 0, 874299706220, 982915991568, -94382738784, -164543891400, 0, 14466003840, 362278299404, -1022823191700, 40344507540, 0, -16868215896, -135183433032, 1845083420000, 100594317600, 0, 2309556837888, -424205144100, -35727715548, -316791400426, 0, -344033979210, -607999996800, 396952920498, 209726501832, 0, 374599459080, -454052692800, -524494120752, -95776393416, 0, -385339255150, 145709042472, 152840771586, 73291800176, 0, 177177967920, 335420568088, 43751456256, 59857565922, 0, -261787350768, -427136096016, 153581277682, 2419588440000, 0, 150275505744, -815166885066, 257248353600, -263421296140, 0, 127722139416, -1344761296704, -20626222680, -132989568768, 0, 1417636479204, 377317539846, -375415933928, 371858028690, 0, 500494608152, 416750591016, 43575900642, 201080146248, 0, -374641350552, -351637987148, 88487145936, 340864788546, 0, 1780500100416, -256683168648, 1167438925800, 240509783472, 0, -1309754787120, 205499703264, -173735120592, 103639016124, 0, -108424880046, 207701036928, 599657705082, 6172679196, 0, -1259894381760, -56865529656, -164105809056, 534124672632, 0, -1215436110874, 1095411598344, 621648976320, 454653578448, 0, 315616467600, -717482807396, 804479201904, 82767684222, 0, -542220236112, -9707454288, -4037978116, -764877613824, 0, 357511840000, -81853420602, -160705711368, 387839485166, 0, 620422675956, 1648088021052, 49766306856, -398738091528, 0, -367715543454, 90076852548, -1482571162496, 1243710955200, 0, 787944711092, 605870052648, -137371209822, -979021583712, 0, 193121407872, 4659203878, -1003438853352, 40288420116, 0, 552235178838, -943261374636, 518714385472, 95038623456, 0, -999369983268, -852341280000, -833834530368, 1014273576158, 0, -15623436006, -169857172800, 472790962674, -26482977864, 0, -1900439423568, 39563763120, -932591347776, -1342229191680, 0, 13841287201, -151417033380, -123113740158, 415987529384, 0, -628567754940, -557170742808, 304164925344, 1288177725024, 0, -1238689313508, -498137632272, 79447886240, -432114283440, 0, 43784143232, 474517990902, 269078760000, 948055203576, 0, 312945348906, 438150690180, -361931666676, -496544679792, 0, 567415134540, -258627391074, -413974792448, 215688245472, 0, 119657942208, -202693538304, -609250198212, 1433307067164, 0, -282696025752, 1349856205858, 184892122800, -400192878096, 0, -933950373642, 1689278597568, -310575065066, -61371817920, 0, 1419231576096, -687693290892, 18620152992, 521080240000, 0, -115098595056, 474197385928, 1123960297728, 402089688468, 0, -562982878368, -12057766434, 374363232948, -883199545344, 0, -411891429600, -1248496107696, -630514184454, 582011619840, 0, 162712511316, 493803971836, 692605502232, 400770159696, 0, -39053132790, -528985323648, 130719057958, -810680083524, 0, -33657351280, 605044978806, 441520990344, -1511725902344, 0, 590405080248, -895424935608, -144154396728, 299756343600, 0, 2140267478976, -432607574358, 605846687616, -72061606896, 0, 23176953360, 420499442328, -242637162606, -2031008995152, 0, -164874489984, -909521043264, 88348418028, -26549379234, 0, 299052666276, 78132744504, 176824283920, 440231206032, 0, 710389231776, -502206335400, 249603234048, -126437916116, 0, -164746710000, -177575462624, -93177221844, 820408079448, 0, -710339131824, -199118132064, -2373666490008, 802562641440, 0, 317023077530, -169003771992, 189153744885, -2016704179840, 0, -605910934548, 294722847069, -355813758720, -331298819118, 0, -320638285248, -1175449916592, 259925659308, -13958833644, 0, 226368731376, 1918909796976, 62114824080, -1212643596724, 0, -414606496185, 1997316360000, 441696614484, 10907921376, 0, -369241852896, -59912792100, 41183738344, 548638885950, 0, -689050745464, 1528075715328, 909687202200, 58672086372, 0, -410399997840, -67148708726, -1821617316144, -809624114370, 0, -134570338524, 139272511644, -2982465328608, 2167873330728, 0, -2658763350144, 119747339376, 175189034304, 463367864960, 0, -830504485314, 343303443280, 1109032440000, 187862110272, 0, 81445761600, -449571831228, -914483932884, -1288386359532, 0, -974139110892, 1671984742536, -89502323274, -60194449728, 0, -689180521176, -281411275744, -59728663680, -536116987116, 0, -915940894500, 112495430880, -437130477146, -2513385298332, 0, -4161354801408, -15552962502, 1025773089948, 1152547565400, 0, -248211749061, -598888596996, 72961470552, 562698360000, 0, -155008984464, 363801414528, -72122907968, 1107310794870, 0, -376502171710, -374539396056, -168116744376, 2845501585848, 0, 213602509296, 231271184278, 413643972672, 103474593882, 0, -825849913902, 222192784800, 605297127176, -1223829469824, 0, -483022221192, -1245463636680, -850428707688, 762283796544, 0, 171698902686, -73604946240, 436403237982, 1184079832416, 0, 523157980128, -270786322458, 536409190080, -95407237716, 0, 35035289488, 232425064620, -370576709262, -236942537608, 0, -41682334806, 385159113880, -1254824770464, -65735452692, 0, 2295519138528, -78995737296, 148016852116, 2128044260736, 0, -757290280320, 324184962246, 1057530813408, 269718429020, 0, 896862589488, 3647876807232, -1868821908504, -386915606928, 0, 4042665360000, 125045355960, 2371826066400, -485659593132, 0, -139251559168, 81228920064, -115020838512, -498325445352, 0, -742015705536, 818211621010, -514579405248, 27852737760, 0, 181555936800, 408081419172, 1525259599972, -1312649563008, 0, -252881921376, -649822540584, -319025298816, 1563693042626, 0, 101164933800, -520046016392, 789708064878, 189028664820, 0, 1384010291088, -1303560540000, -304206801120, 1532914466784, 0, -2580843169076, -437081575644, 29832593868, 182011451376, 0, 1394461852992, -1125439159004, -1821354318504, -181157051124, 0, -468670044420, -490210964496, -334869669914, -3704371120800, 0, -353421226312, 84238733184, 188002463184, -1061508414616, 0, 462449043396, -1509277045356, 4356438198, 600447275568, 0, 491484373920, 295736169582, -3041591040000, 1248691745022, 0, -984094411828, -2979555964224, 833198485212, -118283027112, 0, 13108516416, 222749893800, -1675668470238, 774290674368, 0, -1212107695722, -1932439415940, -396703240936, 49392814968, 0, 1635851551500, -1247896058136, -529835516280, 1591253310614, 0, -113419874484, -2477090311424, -2084426688378, 79952109804, 0, -46276703088, 332264978424, -465194440116, 1938996060000, 0, -443623556160, 784042490916, 335305979028, 685059117680, 0, -1757958174540, 784877263960, -216875365920, -138506121720, 0, -197252377224, 392857843392, -464357460960, -630375726384, 0, 769686333696, -292833919014, 1171364668848, -665717389918, 0, 315057435408, 170418091104, 3478557904500, 890121597120, 0, -972806952096, -768036305862, -586369130256, -1123790317950, 0, 1718491068272, -1108291194288, -18690661332, -1948228519680, 0, 1968962889096, -646877777894, -2881123491024, -360835159536, 0, 827972153250, 855250675272, 1414895648908, -2641209346440, 0, -1168499530800, -443618806470, -43028297712, -1157234828633, 0, 1103290672122, -500076029152, 818744104068, -581160570984, 0, 1462337974272, -262196527122, 2626450111836, 637081029036, 0, 189905380000, -538217020656, 412079196366, -139361616720, 0, -762482074788, -479155582368, -1010097607512, 750926521800, 0, 182986668984, -218543593536, 968670449830, 207785447496, 0, -2688413095816, 259004100978, 2822458545792, 222156843552, 0, 628718985504, -329812030044, 1179986661504, -240174287136, 0, 729079219008, -287011653804, -1324021567680, 1192227487584, 0, 742552652492, -4721052000000, -134822553246, -767202776280, 0, -94741808112, -349216017242, 546924798180, -804829977846, 0, 1351956233226, 46836958212, 283779348034, -351627711744, 0, -3572480229876, -146476002960, -503244242928, 84301668448, 0, -910103918688, -332504138592, 497791790118, 2035355531184, 0, 2986383707328, 114836196258, 1650226223304, -976894980036, 0, -2525802255536, 1767101484672, 1851859419003, -1076090091328, 0, -376378689528, -1975647566384, 1051722346392, -104340527784, 0, 311608435572, -1515455000136, -990474691392, -362959536672, 0, 6909328736, 2030296186890, 349715734200, -250423289888, 0, 192530524320, 801785966256, 1977932689104, -1479528721080, 0, 1383699707244, 35851106088, -1665336249920, 153350485086, 0, -1028102488920, -129674744640, -1169016973596, -978285600000, 0, 75934415844, 514256333290, 588134535192, 55143068652, 0, -1049133372000, -1778671886256, -728870230672, -1186839610656, 0, 291203773056, 2371131708564, -68936960736, 2340016385868, 0, -749092729590, -2018459274776, 579012286524, -309684816216, 0, 1653534305280, 1353744500832, -476860992696, -1990738105620, 0, -593142771060, 3653433841248, -127219141566, 2676629491200, 0, 1767162426480, -427628499074, 5477464005888, 81344682216, 0, 202645282344, -319390214832, 348884295838, -1371358236024, 0, 3957675434384, -669624509106, 632622135096, -3441110997024, 0, 43838240040, 2963120134860, 882370860696, -55612696608, 0, 1348219377576, 1519911766800, -55500950736, -428627006046, 0, 778645486964, -2370939891600, -723182794272, 855207376128, 0, -1771761600000, -178814480740, -1965669368436, 747358870644, 0, 4400474774784, -478799997480, -341902494136, -1343552939280, 0, -3051259246548, 2492896159392, -511170939216, 98293151222, 0, 666316703934, -204745056768, -2130428546844, -316795871016, 0, 356378854944, 230442383538, -634290916752, -20150856816, 0]