# Trace form for 448.8.a.e, downloaded from the LMFDB on 06 February 2025.
[0, 1, 0, -18, 0, -160, 0, 343, 0, -1863, 0, 5704, 0, -1388, 0, 2880, 0, -31434, 0, -19966, 0, -6174, 0, 77136, 0, -52525, 0, 72900, 0, 193374, 0, 26356, 0, -102672, 0, -54880, 0, -204346, 0, 24984, 0, -663050, 0, -335920, 0, 298080, 0, -1119812, 0, 117649, 0, 565812, 0, -112782, 0, -912640, 0, 359388, 0, 536154, 0, 1170264, 0, -639009, 0, 222080, 0, 3890660, 0, -1388448, 0, -2505344, 0, -1435070, 0, 945450, 0, 1956472, 0, -176536, 0, 2762181, 0, -6211622, 0, 5029440, 0, -3480732, 0, -4729062, 0, -476084, 0, -474408, 0, 3194560, 0, -2129562, 0, -10626552, 0, -5660320, 0, 14025748, 0, 987840, 0, -2072892, 0, 6872470, 0, 3678228, 0, 22743718, 0, -12341760, 0, 2585844, 0, -10781862, 0, 13048445, 0, 11934900, 0, 20904000, 0, 25183376, 0, 6046560, 0, -17418734, 0, -6848338, 0, -11664000, 0, 44997186, 0, 42686494, 0, 20156616, 0, -7917152, 0, -30939840, 0, -2117682, 0, -41936406, 0, 7600872, 0, 58561542, 0, -4216960, 0, -84619788, 0, 2030076, 0, 26457648, 0, 15485640, 0, 16427520, 0, 44889340, 0, -60821973, 0, 37196658, 0, 102899580, 0, -18016075, 0, -9650772, 0, 50177980, 0, 132768572, 0, -21064752, 0, 32695360, 0, -179299536, 0, 25004700, 0, -143976808, 0, 91703278, 0, -3997440, 0, 110905098, 0, 161688060, 0, -70031880, 0, 66327282, 0, 106088000, 0, -143704368, 0, -113886064, 0, 1747716, 0, 45096192, 0, 53747200, 0, 9040108, 0, 25831260, 0, 43630392, 0, 48306360, 0, 97854075, 0, 205296434, 0, 281107988, 0, -35216496, 0, 308493130, 0, 179169920, 0, 3177648, 0, 131783432, 0, 279724582, 0, -209151558, 0, -18823840, 0, 27712808, 0, 111809196, 0, 124213470, 0, 439983744, 0, -90529920, 0, 383682034, 0, -70090678, 0, -360255762, 0, -454838688, 0, 18045120, 0, 85123116, 0, -81905156, 0, 241677264, 0, 8569512, 0, -299602600, 0, 20256194, 0, -49101228, 0, -224402070, 0, -579760982, 0, -57502080, 0, -227426150, 0, 577757683, 0, 38332116, 0, -96936888, 0, -85784640, 0, 415821600, 0, -107064768, 0, -115220560, 0, 101885760, 0, -187242240, 0, -623961950, 0, -252463464, 0, 483165560, 0, -488640506, 0, 102241440, 0, 589516194, 0, 1103005296, 0, 37312056, 0, 627611244, 0, 72904700, 0, -123704460, 0, -384095516, 0, -496907152, 0, 380696598, 0, -622505600, 0, -800789458, 0, -409386924, 0, 150334624, 0, 40353607, 0, 222151680, 0, 936814224, 0, 318551148, 0, -101185200, 0, 1477782098, 0, 400855040, 0, 194073516, 0, 763542984, 0, -495230583, 0, -234872010, 0, 229611200, 0, 362182424, 0, 1235262150, 0, -38684226, 0, -493378870, 0, -376272000, 0, -268403112, 0, 1767116888, 0, -453300768, 0, -1834548, 0, -313035520, 0, 625818960, 0, 1744621174, 0, -2424693024, 0, 313537212, 0, 28245760, 0, -2114735620, 0, 123270084, 0, -1912126962, 0, -36582128, 0, -441948960, 0, -1165589584, 0, -1257510242, 0, -809949348, 0, 183900822, 0, 993859520, 0, -768356892, 0, 1162443190, 0, -1162120606, 0, 2086209756, 0, 1651070850, 0, 401400552, 0, 142508736, 0, -1814874776, 0, -1997741618, 0, 556917120, 0, -1540097376, 0, -3340726920, 0, -219180087, 0, 383408460, 0, 756649920, 0, 754855308, 0, -2186234542, 0, -3782037200, 0, -136815696, 0, 76173440, 0, 1484191174, 0, -2291538600, 0, 1313923428, 0, 1456491472, 0, 75905280, 0, 3403736186, 0, 1334496380, 0, 1523156184, 0, -1916087680, 0, 1048714150, 0, 210112866, 0, 3443522292, 0, 283632248, 0, -476237664, 0, 340729920, 0, 1217907424, 0, -278741520, 0, 79414860, 0, -6078518316, 0, 1700248320, 0, -859332992, 0, -5135067868, 0, -808008120, 0, 691852768, 0, 905651200, 0, 1094795514, 0, -1842329300, 0, -492229010, 0, -1455521400, 0, -2244119680, 0, -6387407648, 0, -1852192440, 0, -4748544618, 0, -2419431806, 0, 324289350, 0, -828474504, 0, 2545137049, 0, -998854902, 0, 920313400, 0, 331662720, 0, -903203640, 0, 671069896, 0, -4417218494, 0, -2389834296, 0, -1099595200, 0, 3488752512, 0, -2180201832, 0, -3860905284, 0, -60551848, 0, -588516480, 0, 2783739458, 0, 466256960, 0, 3227391648, 0, -2466239282, 0, -3638994880, 0, 947428083, 0, -352044554, 0, 7440852136, 0, 2591582544, 0, -4051568400, 0, 3057269218, 0, -1650659004, 0, -2130586346, 0, -643308528, 0, -413735040, 0, 2883787590, 0, -526223896, 0, -1996291764, 0, -4700760742, 0, 1725097920, 0, -2910385080, 0, 4063234392, 0, -2069557510, 0, -7248299580, 0, -2087751200, 0, 5568279808, 0, -1193891076, 0, 1554299056, 0, 3796636998, 0, -1909584000, 0, -3962348074, 0, 5550824218, 0, 5623214400, 0, -1622068266, 0, 758875625, 0, 2049949152, 0, 6423412164, 0, 243355728, 0, -31458888, 0, -4029340160, 0, -163296812, 0, 4667455872, 0, -3892272978, 0, 2226981790, 0, -967449600, 0, -7461822404, 0, 3058222416, 0, -162721944, 0, -127961402, 0, 2786997440, 0, 2673535410, 0, -11005201824, 0, 12232589608, 0, -785347056, 0, 1095734080, 0, 14916096864, 0, -869514480, 0, 6675185856, 0, -12086222150, 0, -3829072500, 0, 11627471676, 0, -730439766, 0, -3695335812, 0, 14238140172, 0, -7199549760, 0, -5059943784, 0, 156541416, 0, -9509179118, 0, -3644907336, 0, -6829839040, 0, 20842313700, 0, -5552876340, 0, 9298384806, 0, 4079972236, 0, -3225058560, 0, -1941489760, 0, 14205922998, 0, 328886568, 0, 2032996416, 0, 1266744320, 0, -2372101776, 0, 11380519940, 0, 4810831564, 0, -5035042476, 0, -10156969350, 0, 2051495108, 0, -2276161803, 0, 10559309280, 0, 2801599048, 0, 338829120, 0, 22192324640, 0, -11752836920, 0, -498830544, 0, -12768232264, 0, 6709824960, 0, 11572251786, 0, -711001956, 0, -8948260792, 0, -2235842460, 0, -1216139520, 0, -11224092634, 0, -7919707392, 0, -3065417538, 0, 2357257210, 0, -9369846720, 0, -744181752, 0, -13391122402, 0, -6906276612, 0, 2075292296, 0, -1384348900, 0, 1261632204, 0, 13238456300, 0, -14290482176, 0, 14096964600, 0, 13539166080, 0, 10298883722, 0, 8187096384, 0, 7801095274, 0, -1624326432, 0, -324812160, 0, -6692695044, 0, 35200170408, 0, 8810242506, 0, -8185639280, 0, -4233223680, 0, 1474292808, 0, 15629117206, 0, -3312997022, 0, -4350190752, 0, -2477702400, 0, 6706978720, 0, 886944492, 0, 17988381170, 0, -9562186200, 0, 5392846800, 0, -16556211116, 0, 31047321160, 0, -364611492, 0, -3698178666, 0, -7182294400, 0, 1921352400, 0, -11125503036, 0, 20143627567, 0, 4039237260, 0, 9731515680, 0, 4475616635, 0, 10435697676, 0, -15762433056, 0, 11228303332, 0, -5951465280, 0, -13411019490, 0, -33063816802, 0, 4093670700, 0, 18609621448, 0, -16463932800, 0, -10399638294, 0, -1006961344, 0, -5400236080, 0, 3967374006, 0, 7170072000, 0, 20123121294, 0, 1744863984, 0, 35575191306, 0, 488662972, 0, 1544123520, 0, -36673158796, 0, 8637897968, 0, 15755480424, 0, 22358166392, 0, -8028476800, 0, 1927165824, 0, 5096565144, 0, 3545189388, 0, 2073970080, 0, -21242971520, 0, -9619541308, 0, 10545176160, 0, 13697407632, 0, -35431091888, 0, 3370360320, 0, -5974625762, 0, 9668636968, 0, 11231315100, 0, 3477417472, 0, 10733273650, 0, -26129968524, 0, 5569162166, 0, -2348979934, 0, -8696980080, 0, 28687925760, 0, 3101655778, 0, 8795529108, 0, 11672886648, 0, -51145024800, 0, -4000752000, 0, 41551154960, 0, 1991877160, 0, -10611291492, 0, 15014277210, 0, 23036289280, 0, -19854095328, 0, 15434034798, 0, -26817975375, 0, 3861797796, 0, -14672524480, 0, -30605983664, 0, -11297002392, 0, 46759664442, 0, 14641467442, 0, -1312284600, 0, 10391532730, 0, -26974569648, 0, -12803411610, 0, -305164428, 0, -17744815680, 0, 6913719288, 0, -25911525120, 0, 54841232800, 0, 8944328736, 0, -25870089600, 0, 7316336696, 0, -14896823400, 0, -2715583136, 0, -16853464836, 0, 11205100800, 0, 2251805412, 0, 41382177758, 0, 14414210244, 0, -35284238892, 0, -10612365120, 0, -42371546634, 0, 19268569980, 0, -5280589804, 0, -2706023232, 0, 34826701250, 0, 245031968, 0, -726364926, 0, -7301966304, 0, -9941729302, 0, 22992698880, 0, -36786078576, 0, 64266147956, 0, -16862656032, 0, -14384187258, 0, 18221770240, 0, -5733920664, 0, -5845205886, 0, 42035826916, 0, -3833907228, 0, -279634560, 0, 2607099096, 0, -26600077764, 0, -7736088794, 0, -65336181456, 0, -7215390720, 0, -12147021648, 0, -3915499304, 0, 20086608906, 0, -39515203404, 0, 17644198000, 0, -13743773712, 0, 8621731336, 0, -86377818432, 0, 8914150494, 0, -1446417280, 0, 75377974712, 0, -24309253035, 0, -61293249426, 0, 29323323262, 0, -4133001600, 0, 49675934298, 0, -29024587284, 0, -6519283632, 0, 77553627248, 0, -6980862720, 0, -48336345000, 0, -25403420436, 0, -32286465280, 0, 696316068, 0, -7729017600, 0, -76665070230, 0, 8880819660, 0, -10704850764, 0, -11698804142, 0, -38944152000, 0, 9074973264, 0, 61753095010, 0, 4831256016, 0, 80002866592, 0, -32847429440, 0, -31808103984, 0, -122299006440, 0, 5311574520, 0, -46916629488, 0, -44977278080, 0, -5385743176, 0, 33021864, 0, -6886052260, 0, 18690044162, 0, 5634639360, 0, 6563938056, 0, -23365491024, 0, -24488568000, 0, 35032047356, 0, -49358900800, 0, -31403181132, 0, 15397043620, 0, 51558826588, 0, 43644474432, 0, 58818125300, 0, -11823775968, 0, 32451101442, 0, -87746293644, 0, -20861936739, 0, -508423680, 0, 14413936188, 0, -128216630700, 0, 38065241160, 0, 64200951234, 0, -21085349120, 0, 12758453694, 0, 39200568880, 0, -47748857362, 0, 34418285316, 0, -44755933120, 0, 78752983296, 0, 658478304, 0, 35294555940, 0, 19968019902, 0, 33464249280, 0, 44449340026, 0, -8699552352, 0, 20980612512, 0, -53827303272, 0, -6179513725, 0, 22635184356, 0, -68340609014, 0, -42400927892, 0, -83829757518, 0, -4434049280, 0, 81934019976, 0, -3310214796, 0, 45109990380, 0, 129730167472, 0, -17889471360, 0, -64958194080, 0, 54924875898, 0, -79524938322, 0, 17211047140, 0, -19874155200, 0, -20923977420, 0, 7520749522, 0, 2955832056, 0, 20918170908, 0, -70397399040, 0, 45539620196, 0, -81634294800, 0, -17475345800, 0, -77680917560, 0, -29719275300, 0, 40545739336, 0, -123651031140, 0, -7225209936, 0, -26996122088, 0, -61389125440, 0, 14749654176, 0, -79245441330, 0, 40160804982, 0, 32667745968, 0, 11214508480, 0, -54096055234, 0, 35959349124, 0, 59339307120, 0, -127341590552, 0, 57640921920, 0, -137730269334, 0, -61499740848, 0, 27721752768, 0, 7856524160, 0, 72774190080, 0, 60133084560, 0, -1905895944, 0, -98750576626, 0, 8576612100, 0, 5923874550, 0, -20808477456, 0, -6901352280, 0, -36726493104, 0, -8853507520, 0, -13619698560, 0, -49384045144, 0, -19467738224, 0, 78127524378, 0, 5549232624, 0, 13104824960, 0, 39352221756, 0, 50021698304, 0, 31454224354, 0, 68076669600, 0, -38668362240, 0, 41356774944, 0, -14160424536, 0, 171517756734, 0, -216542525688, 0, -1371121920, 0, 6659633496, 0, -53174589417, 0, -26715441132, 0, 173413821142, 0, 119236416000, 0, -86826397554, 0, 38040448614, 0, -133539624770, 0, -23650621704, 0, -3240991040, 0, 28652607620, 0, -26216846496, 0, 2877174096, 0, 55459004580, 0, 7856196480, 0, 143645976704, 0, -3062604952, 0, -61267251348, 0, 90269483904, 0, 35904331200, 0, -24020934840, 0, 48766812626, 0, 195256125948, 0, 157646665044, 0, 92761757120, 0, -9538988360, 0, 34489578240, 0, 22750257726, 0, 82879270440, 0, -18876854700, 0, -93091899550, 0, -164231281362, 0, -8221807800, 0, 32444453034, 0, 36388184000, 0, -61983401256, 0, -63216769624, 0, -99356458736, 0, -5105380464, 0, -92441229280, 0, 143571561536, 0, -49290598224, 0, 74322505016, 0, -222590929946, 0, -6133138560, 0, -29513765072, 0, -216218917290, 0, -21922333632, 0, -39062919952, 0, 15509902080, 0, -28849747320, 0, -31568280584, 0, -83504418128, 0, -1429467480, 0, -28161488850, 0, 599466588, 0, 109413329688, 0, 188901259370, 0, 47182703890, 0, -66531456000, 0, 113038863296, 0, 162695010230, 0, 15467993856, 0, 21090952634, 0, 17130362880, 0, 92431221624, 0, -171173917524, 0, 3524717776, 0, -83628840420, 0, 18435289600, 0, 256663948944, 0, -12453349824, 0, -241060402240, 0, 148653334908, 0, -16301721600, 0, 135491615300, 0, 3100757044, 0, 113311335699, 0, 165422444848, 0, -61468116600, 0, 33161927400, 0, 243483761776, 0, -131464221790, 0, 8860122180, 0, 99833912000, 0, -21809106468, 0, -55149705846, 0, 300109949760, 0, 30292419904, 0, 40394154240, 0, 14965224456, 0, 199395333898, 0, 114973337664, 0, 74011966698, 0, -77306489600, 0, -191701917540, 0, -75161666340, 0, 16569081480, 0, 85473803124, 0, 78182480960, 0, -18453640688, 0, 43549772508, 0, 5776221410, 0, -18111241660, 0, 33563947725, 0, 124021244852, 0, 125694283072, 0, 14912541072, 0, -186295718352, 0, -94322591040, 0, -45812466882, 0, 70416676862, 0, 68643908320, 0, 39085626600, 0, -176480847360, 0, 213836002274, 0, -16565641200, 0, 28500699522, 0, 96420039884, 0, -5969928960, 0, 272366802064, 0, 29749561946, 0, -93481576740, 0, -11145889368, 0, -100417799040, 0, -12079258128, 0, 156685475244, 0, 284102501630, 0, 79509932892, 0, -29014752000, 0, -320867845594, 0, -247347849636, 0, 105813143590, 0, -193252214784, 0, 19792713600, 0, 242885389664, 0, -239205259824, 0, -62797545216, 0, -2972482392, 0, 61455282560, 0, 85312245600, 0, 66940651908, 0, -34954525888, 0, 69496295112, 0, 79505144320, 0, 96184858734, 0, 1089933264, 0, 43355373888, 0, -73724916712, 0, -60911455680, 0, 144741717576, 0, 24400752032, 0, -50107310244, 0, 45201717176, 0, -204356916500, 0, -8392625280, 0, -110695559520, 0, 244881028619, 0, 334035035568, 0, 128126313280, 0, 95945531626, 0, 44392307076, 0, 94420451892, 0, -103452162392, 0, 65501907840, 0, -234213208666, 0, -172159053530, 0, -71738984394, 0, 24177202792, 0, -24053539840, 0, 6336801972, 0, -300268406446, 0, 103678243596, 0, -133935338448, 0, -6456577120, 0, 177926498880, 0, 268228793304, 0, -57612702758, 0, -224138464236, 0, 72928231200, 0, -482671270752, 0, 9505493144, 0, -55030845924, 0, 318198439214, 0, -149890275840, 0, -170843206914, 0, 228829102952, 0, 165252298268, 0, 38350554228, 0, -50968183680, 0, -131028553392, 0, 11579553504, 0, -440885362632, 0, -293960637166, 0, 16189632000, 0, 42605220210, 0, 373783081568, 0, -51908176620, 0, 222731756000, 0, -236445135680, 0, 9472030128, 0, 226298630736, 0, 150914424192, 0, -206616197574, 0, 131593193600, 0, 100518798546, 0, 84613693356, 0, -62456094168, 0, -372008164016, 0, -31051762560, 0, 120496224016, 0, -11887534990, 0, -301224855780, 0, 88330090560, 0, -122166877440, 0, -73138219056, 0, 131602937662, 0, -145270727858, 0, 37252035180, 0, 79236893280, 0, -59248853672, 0, 283629114000, 0, 176946204618, 0, -24041102554, 0, 37579521600, 0, -13617280896, 0, 65159287128, 0, -100229036544, 0, -388321953192, 0, 75377051750, 0, -123567726366, 0, 14130874824, 0, -255956869912, 0, -27977383008, 0, -57949187840, 0, 256048795360, 0, -68339465964, 0, -156009669984, 0, 42518834892, 0, -197641944000, 0, 309405753412, 0, -158976364707, 0, 71322265332, 0, -216029221980, 0, 6189476160, 0, -99914835924, 0, -346928533992, 0, -497715720680, 0, 213063593616, 0, 78940619200, 0, -352645358670, 0, 29197228788, 0, -445172292496, 0, -4275302110, 0, -13659761250, 0, 125477641738, 0, 272273123620, 0, 212169737232, 0, -28093468508, 0, 42944497920, 0, -115621418952, 0, 568522589810, 0, 30843477984, 0, -4380403104, 0, -282738702080, 0, 82895301552, 0, -3255994908, 0, 414152936634, 0, 586939204320, 0, 72528122880, 0, 490613895114, 0, -479139674592, 0, 2939342616, 0, -237535134298, 0, 293527680, 0, -182639577600, 0, 113013949120, 0, -714926031612, 0, 70060913604, 0, -102763691800, 0, 742491346600, 0, -40085672220, 0, -527114064414, 0, -332176804246, 0, -100131033600, 0, 58207731528, 0, 6947874542, 0, 134312803272, 0, 752352486840, 0, -279139387840, 0, -55048003488, 0, 590465884636, 0, -14783322400, 0, -16841721204, 0, 387950883840, 0, -280038084568, 0, 2303305236, 0, 23046550572, 0, -10550010336, 0, -50165953920, 0, -76969910010, 0, 286215197920, 0, -104616603000, 0, -140494971156, 0, 9272553400, 0, 198093632832, 0, -534383192498, 0, -198858016826, 0, -220186612944, 0, 338357699200, 0, 375282583646, 0, -81283420296, 0, 757311934688, 0, -411522608034, 0, -19723213440, 0, -45092888666, 0, 195526523392, 0, -268489743552, 0, -353361836856, 0, 305940313920, 0, -89994748680, 0, -78007169450, 0, -337951538464, 0, -120153345408, 0, 5853140480, 0, 108306931354, 0, 217551998700, 0, 376167247040, 0, 198170885269, 0, -145083557025, 0, 474888231008, 0, -175162535104, 0, -209294490168, 0, 41387361672, 0, 186494333440, 0, 13147915788, 0, -231866095344, 0, 117452265744, 0, -382467256542, 0, 201201638720, 0, -364780926432, 0, -256286523096, 0, -33249352584, 0, 294891306802, 0, 129591895680, 0, -410164820130, 0, -484468390656, 0, -523704181644, 0, -603325692216, 0, -29424131520, 0, -2817745488, 0, -702925696058, 0, -137215736020, 0, 171165224124, 0, 326265445550, 0, 102542234960, 0, 142626808800, 0, 80780420938, 0, 545798335576, 0, 122937102720, 0, 311906033472, 0, -285129635558, 0, -375161646600, 0, -36723215424, 0, -185990910400, 0, -574722701190, 0, 155244943982, 0, -821243712832, 0, -167370926508, 0, 185939296960, 0, -39520652080, 0, -73439500248, 0, 116003571840, 0, -121151391398, 0, -333793560960, 0, -277505226180, 0, -21494068320, 0, 34946815680, 0, 523075497712, 0, -657096336000, 0, -255706613964, 0, -693414517694, 0, 20581782470, 0, -12869474400, 0, -64224088320, 0, 75780838018, 0, -36593935488, 0, -368639328920, 0, -340950909832, 0, -22801397760, 0, -454101073588, 0, -214018948850, 0, -245512533816, 0, -99321063034, 0, 290379964160, 0, -204849358920, 0, -791614241184, 0, -376472041394, 0, -86594968152, 0, 319638658880, 0, 632602678992, 0, -521126896266, 0, -62306403920, 0, 74780105100, 0, 182825448300, 0, 165725787080, 0, 833073965696, 0, -36926911944, 0, -109560925284, 0, 246415580160, 0, 498385369800, 0, 922268694240, 0, -167603693558, 0, -190067567040, 0, 534516307200, 0, 171515840120, 0, -50428782864, 0, -66030846464, 0, -314408105038, 0, 35068813920, 0, 212078531472, 0, 747355794881, 0, -399461843520, 0, 280270818782, 0, -61345353600, 0, 211551064560, 0, 202204054542, 0, -352970129966, 0, -51628961304, 0, 248393981550, 0, 547540484556, 0, 229828180752, 0, -164265894432, 0, 378330816528, 0, -120776849280, 0, 200540954182, 0, -456667619476, 0, -452827243800, 0, -35385277658, 0, 349797526720, 0, 12798035208, 0, -142824617040, 0, 343152625876, 0, 161068694256, 0, 605125952000, 0, -239138767344, 0, -231409694610, 0, 215270656692, 0, -37822704920, 0, 21890511360, 0, -609389986030, 0, 223009734966, 0, 202033667412, 0, -203078482542, 0, 25006312100, 0, -819689715072, 0, 37885729440, 0, 516857668042, 0, 55177515684, 0, -237470587840, 0, -147876539876, 0, -42430629780, 0, -34137472464, 0, 268372548202, 0, 366646176000, 0, 351967542342, 0, -260525252870, 0, 13395271536, 0, -131744761988, 0, -210227748480, 0, 241040203236, 0, 60120463548, 0, 392927600672, 0, -714799629342, 0, -233038635520, 0, -170439153136, 0, -37355261328, 0, 9968972064, 0, -436614443520, 0, 24918280200, 0, -69647036240, 0, -1414441544724, 0, 130578933114, 0, 497650575766, 0, -544597789760, 0, -238292213400, 0, -180859969648, 0, 168659646332, 0, 257228679168, 0, -213519420800, 0, 766359196056, 0, 534133988694, 0, 543278274296, 0, -184282777936, 0, -243704989440, 0, -273679344008, 0, -274670784094, 0, -185379906996, 0, -1341807252396, 0, 306574028800, 0, 847364475744, 0, 1081890097728, 0, 45474639870, 0, -140419714932, 0, -417369264000, 0, 544129137450, 0, 29237875776, 0, 757264698922, 0, 217775713932, 0, -33618058560, 0, 51564776032, 0, -117493528886, 0, 120468510792, 0, 1181562179186, 0, -550963566720, 0, -633603067344, 0, 714032597044, 0, 13841287201, 0, -344748619800, 0, -45381159680, 0, -1201166192628, 0, 147341507040, 0, 1021530817290, 0, -502811285216, 0, 76198026240, 0, 469764447666, 0, -355496909700, 0, 152589305628, 0, 197550951808, 0, 111855244050, 0, -281324109708, 0, 321327278832, 0, 248867755968, 0, 59633946396, 0, -194865187840, 0, -389058180102, 0, -450244742832, 0, 162936714082, 0, 109263043764, 0, 44598643200, 0, -772656146384, 0, -4652782816, 0, -120725616960, 0, 275539477440, 0, -12706377600, 0, -34706523600, 0, -1469760693740, 0, -159894597312, 0, -323790861060, 0, 972562930560, 0, 164083959874, 0, 172119351600, 0, 506879259614, 0, 392284402566, 0, 558159643800, 0, 130357935900, 0, -795040808360, 0, 298011800088, 0, 199839809504, 0, 137493278720, 0, -558851780880, 0, 347782443044, 0, 126294636984, 0, -37737289422, 0, 821610858880, 0, 1171010859536, 0, 66567215988, 0, -775943545200, 0, -982143282112, 0, 129281299200, 0, 530114845920, 0, -127284149864, 0, 72800042436, 0, 261895243512, 0, -110696442880, 0, 200259054648, 0, 1603439963552, 0, -36539398314, 0, -362585296206, 0, 297308308000, 0, -169864089969, 0, 418061056410, 0, 202722862380, 0, 1318228986204, 0, -175167282240, 0, -180104851680, 0, -185277050674, 0, -80561099430, 0, 933435667024, 0, 294772688000, 0, 1080094709466, 0, 986031403514, 0, 1356684675688, 0, 283723795008, 0, 78756641600, 0, -606771993278, 0, -202109459976, 0, -153936276024, 0, 1759644813520, 0, 232883424000, 0, -238925810448, 0, 124228571432, 0, 241398350820, 0, -163713509432, 0, -736702413700, 0, 595148702436, 0, -976388851374, 0, -914477635188, 0, 423694917450, 0, 1021985223680, 0, -224423027280, 0, -334973186064, 0, -772605617448, 0, 312686651418, 0, 296350790400, 0, -13268689518, 0, 1754359431648, 0, -1076362563429, 0, -898413815676, 0, 759767138880, 0, 18125304192, 0, 287730757446, 0, -169228952410, 0, 97204249440, 0, 387109088960, 0, 291333139774, 0, -155245069800, 0, -1294711277652, 0, -393115082880, 0, -129061296000, 0, 511957025024, 0, 751692696128, 0, -362216183292, 0, 263849991510, 0, 132555920640, 0, 180593422344, 0, -92062267416, 0, -852278539204, 0, -640353443508, 0, -407221927840, 0, -610752557112, 0, -8795933496, 0, 1595549015728, 0, 606121092584, 0, 159816784320, 0, -227900449710, 0, 614382289566, 0, 660116858328, 0, -386385423576, 0, -147250144000, 0, -155482163424, 0, 2659938415992, 0, 911511656552, 0, -1193000486832, 0, 108878652300, 0, 1558691379168, 0, -402446995056, 0, -629249964, 0, -481652514356, 0, 144512582400, 0, 380267063740, 0, -1677503652418, 0, 199461662784, 0, 44031923024, 0, -107371183360, 0, -91738172592, 0, 491574181620, 0, 293250814220, 0, -63813408984, 0, 706754959040, 0, -1142884625722, 0, 214655903280, 0, -1534496803592, 0, -1598233263630, 0, 382373487360, 0, 158073856832, 0, -35068441916, 0, 173151743544, 0, 598405062682, 0, -360976486750, 0, -412637328000, 0, 822298415654, 0, -86925217772, 0, -246553337376, 0, -558200401920, 0, -831669707232, 0, 637759653984, 0, 387357281510, 0, -2425829808, 0, 348832293120, 0, -2579702113000, 0, -737566494520, 0, 107543263716, 0, 119451032562, 0, 617744845440, 0, -174035465424, 0, -124639158072, 0, 708513632880, 0, 1162441112850, 0, 9688295680, 0, 998114278608, 0, -62593514496, 0, -486775607760, 0, -600391683048, 0, -193198925700, 0, 1538791355486, 0, -725354317660, 0, 1022477029200, 0, 1006504853520, 0, -445398313280, 0, -100244918988, 0, 648154380308, 0, 1595268071060, 0, 42281638812, 0, -74601113600, 0, 443185320810, 0, -900137438280, 0, -514748616162, 0, -1949463135866, 0, -516382663680, 0, -655859547966, 0, -1161991360313, 0, -55829804004, 0, -411801922188, 0, 394598285120, 0, 910337262678, 0, 1071534853710, 0, -12547669904, 0, -210111959664, 0, -1194613787950, 0, 2188522321936, 0, 920610446400, 0, 837302282196, 0, 1386721364858, 0, -151588493280, 0, 243902203038, 0, -1411051513560, 0, -747920789280, 0, 1669752481800, 0, 56327128640, 0, -35853788880, 0, -399797227312, 0, -1835259836268, 0, -1098268669422, 0, -1190536341760, 0, 648333769850, 0, -270256989780, 0, -1354592555260, 0, -431326013006, 0, -414653207040, 0, -1310475670368, 0, -151759010352, 0, -2054898866448, 0, 1911877899282, 0, 1612450944000, 0, -277812626364, 0, -312250513112, 0, -1306950507200, 0, 482723556750, 0, -489163074880, 0, -1090166185372, 0, -151113826800, 0, 63077981946, 0, -2594399876352, 0, 264105440640, 0, 2231739010566, 0, -67049227680, 0, 550907705952, 0, 2113477909248, 0, 340893815360, 0, -1169239747572, 0, 1054644129510, 0, 1661168339200, 0, -841673959956, 0, 102929364480, 0, 1669408029896, 0, -263546413956, 0, 1942544891136, 0, 36074425456, 0, -135821456100, 0, -1931565963312, 0, -1094558719680, 0, -187047589140, 0, 398718014170, 0, -461406014400, 0, 485542253664, 0, 422460799574, 0, -3234545397720, 0, 501003063000, 0, 84195823360, 0, -398607367858, 0, 5492959704, 0, -284951450392, 0, -1014156615402, 0, 319406682240, 0, -628772800384, 0, -467187009824, 0, 715569946308, 0, -996073085456, 0, 752121718720, 0, 466407452160, 0, -14522595078, 0, 1276545439638, 0, -987142190400, 0, 566317301550, 0, -390177887344, 0, 925738024176, 0, 1378527113856, 0, 1689518687208, 0, 465661612800, 0, 2712214993752, 0, 137680389336, 0, -131694060528, 0, 951523163500, 0, -650117502720, 0, -564440638626, 0, 145461805356, 0]