# Trace form for 30.10.a.c, downloaded from the LMFDB on 05 February 2026.
[0, 1, -16, 81, 256, -625, -1296, 7196, -4096, 6561, 10000, -45600, 20736, -34078, -115136, -50625, 65536, 424326, -104976, 930716, -160000, 582876, 729600, 1572000, -331776, 390625, 545248, 531441, 1842176, -864486, 810000, 8703368, -1048576, -3693600, -6789216, -4497500, 1679616, -7526878, -14891456, -2760318, 2560000, 8562234, -9326016, 32831996, -11673600, -4100625, -25152000, -38536800, 5308416, 11428809, -6250000, 34370406, -8723968, -35746086, -8503056, 28500000, -29474816, 75387996, 13831776, -77109600, -12960000, 18400790, -139253888, 47212956, 16777216, 21298750, 59097600, -142510084, 108627456, 127332000, 71960000, 318643200, -26873856, -30899518, 120430048, 31640625, 238263296, -328137600, 44165088, 603013448, -40960000, 43046721, -136995744, -493844148, 149216256, -265203750, -525311936, -70023366, 186777600, -92882862, 65610000, -245225288, 402432000, 704972808, 616588800, -581697500, -84934656, -755725438, -182860944, -299181600, 100000000, -669587982, -549926496, -1202783524, 139583488, -364297500, 571937376, -2002987212, 136048896, 450535190, -456000000, -609677118, 471597056, 2797710702, -1206207936, -982500000, -221308416, -223585758, 1233753600, 3053449896, 207360000, -278587691, -294412640, 693540954, 2228062208, -244140625, -755407296, -2280218380, -268435456, 2659391676, -340780000, 6586029600, -945561600, 6697432336, 2280161344, -332150625, -1738039296, 4353053766, -2037312000, -3398835364, -1151360000, -3121480800, -5098291200, 1553956800, 429981696, 540303750, 494392288, 925733529, -1926880768, 6507583194, -506250000, -10994711992, -3812212736, 2784002886, 5250201600, -5439605000, -706641408, -11820775198, -9648215168, -2895432966, 655360000, 11312112000, -688747536, -2618831044, 2191931904, 2308500000, 7901506368, -371172000, -2387460096, -9443189289, 4243260000, 6106427676, 8404990976, -10642944462, 1120373856, 2810937500, -2988441600, -6245877600, 1486125792, -8482968456, -1049760000, 22107110894, 3923604608, 1490463990, -6438912000, 4704298750, -11279564928, -19349265600, -9865420800, 3824249436, 9307160000, -21389816664, 1358954496, 22602595178, 12091607008, 1725198750, 2925775104, 19592519514, 4786905600, -20011583992, -1600000000, -11543316804, 10713407712, -6220841256, 8798823936, -5351396250, 19244536384, 10313892000, -2233335808, -42440649600, 5828760000, 35266764020, -9150998016, 25810099200, 32047795392, -20519997500, -2176782336, 62629436128, -7208563040, -2502860958, 7296000000, -14460181428, 9754833888, 5267335220, -7545552896, 2562890625, -44763371232, 31245995508, 19299326976, -53650202410, 15720000000, -26579145600, 3540934656, -5692916178, 3577372128, 24085500000, -19740057600, 48844089288, -48855198336, -79688711016, -3317760000, 34020021122, 4457403056, 3486784401, 4710602240, -7143005625, -11096655264, -31716939848, -35648995328, -40001375988, 3906250000, 3492875976, 12086516736, -71683200000, 36483494080, -21481503750, 4294967296, 112684703982, -42550266816, -54163414088, 5452480000, -5671892646, -105376473600, -19483317600, 15128985600, 22341303750, -107158917376, -7523511822, -36482581504, 103940539674, 5314410000, -1354942096, 27808628736, -19863248328, -69648860256, -17812500000, 32596992000, 75732686882, 54381365824, 57102797448, 18421760000, -9878706222, 49943692800, 195141162212, 81572659200, -47117497500, -24863308800, 61613835864, -6879707136, 61464677779, -8644860000, -61213760478, -7910276608, 107551115994, -14811736464, 48193500000, 30830092288, -24233709600, -104121331104, -53570616000, 8100000000, 236259043216, 175915391872, -54236626542, 60995403776, -11500493750, -44544046176, -299697839980, -84003225600, -97425465444, 87033680000, 62875593600, 11306262528, -36413129278, 189132403168, -29508097500, 154371442688, -305684838222, 46326927456, 39420561600, -10485760000, -162241964172, -180993792000, 394926997416, 11019960576, -13311718750, 41901296704, 36493350390, -35070910464, -277310812800, -36936000000, 206344532612, -126424101888, -49383846558, 5938752000, 89068802500, 38199361536, -337750727014, 151091028624, 226614566862, -67892160000, -396873580800, -97702842816, -208142846408, -134479855616, -79582500000, 170287111392, -10480616628, -17925981696, -453166332010, -44975000000, -18110446398, 47815065600, -181265368314, 99934041600, -199152000000, -23778012672, 247329441576, 135727495296, 487810349736, 16796160000, 543544574877, -353713774304, -22565602971, -62777673728, 19312198750, -23847423840, -458576921788, 103022592000, 56176817274, -75268780000, -257228834856, 180473038848, 116763870266, 309588249600, -19775390625, 157846732800, 29459953908, -61187990976, 358375277276, -148914560000, -184697688780, 342237066624, 170869797600, -21743271936, 205086000000, -361641522848, 215410725756, -193465712128, 423157169754, -27603180000, 667040472000, -46812401664, 533468397600, -313480312224, -376883405000, -76590489600, -487106748982, 320185343872, 542492019216, 25600000000, -899338896006, 184693068864, -296593374704, -171414523392, -26904200625, 99533460096, 343225636800, -140781182976, 814106727386, 85622340000, 352597355046, -307912582144, -554880681600, -165022272000, 308652592500, 35733372928, -275305664484, 679050393600, -71774752800, -93260160000, -462067274410, -564268224320, -252839944800, 146415968256, 165752343750, -412961587200, 132412084840, -512764726272, 125870500800, 328319960000, 414140558400, 34828517376, 418014885146, -1002070978048, 43764603750, 115337008640, 1463085552000, 40045775328, -702325726072, -116736000000, 74984415849, 231362902848, 203309174412, -156077342208, 58051788750, -84277363520, 527114238714, 120728846336, 764244681594, -41006250000, -390437870400, 716213939712, -890571671352, -499935928128, 153265805000, -308789231616, -243186071974, 858403238560, 225504233766, -251520000000, -1251931816830, 425266329600, -1526318963044, -56654954496, -440608005000, 91086658848, -378354942756, -57237954048, -1025502564464, -385368000000, -957482791038, 315840921600, -1497139017600, -781505428608, 363560937500, 781683173376, -234530070246, 1275019376256, -1353434805144, 53084160000, 256500948484, -544320337952, 916281072000, -71318448896, 472328398750, -55788550416, -1082030774908, -75369635840, -212125314564, 114288090000, 1371699395064, 177546484224, -366823886436, 507471037568, 186988500000, 570383925248, 2292956467200, 640022015808, 391521127196, -62500000000, -30064932000, -55886015616, -286690176456, -193384267776, 418492488750, 1146931200000, -764898332409, -583735905280, -1141480078566, 343704060000, -222352931528, -68719476736, 494620641756, -1802955263712, 751739702500, 680804269056, 1757278080000, 866614625408, -862078501422, -87239680000, 3056748776658, 90750282336, -2916077587180, 1686023577600, 227685937500, 311733081600, 3693065329968, -242063769600, 670031338537, -357460860000, -505916085600, 1714542678016, -291783810252, 120376189152, 1251867007500, 583721304064, -687120444936, -1663048634784, -521153690400, -85030560000, 720861395990, 21679073536, 1790675982414, -444938059776, -281584493750, 317811973248, -3539243264668, 1114381764096, 120727583190, 285000000000, -804590951976, -521551872000, 4339284771808, -1211722990112, 381048198750, -870101853184, -3259816235982, -913644759168, -1118848759688, -294748160000, -1567290513600, 158059299552, -1474655593932, -799099084800, -1748569188750, -3122258595392, 309764204316, -1305162547200, 1428441504978, 753879960000, -2404903250380, 397812940800, -1732575149784, -985821373824, 614062500000, 110075314176, 4273547316482, -983434844464, 1830810209418, 138317760000, -3553702489008, 979420167648, 1630021521600, 126564425728, 139741098750, -1720817855904, -2926750950732, 236987783424, 8100363851488, -771096000000, 1586994080634, -493281476608, -3454379318370, 387739353600, -1908406185000, 1665941297664, -1620938303352, 857129856000, -2710077480024, -129600000000, -2125458561622, -3780144691456, -935008661124, -2814646269952, 174117306875, 867786024672, 2358443666396, -975926460416, -503888141736, 184007900000, 1313257070400, 712704738816, 5549897797922, 4795165439680, -433463096250, 1344051609600, 306365716830, 1558807447104, 447252998924, -1392538880000, 835425252000, -1006009497600, -668385074952, -180900200448, 152587890625, 582610068448, -3437692617600, -3026118450688, -3193850034228, 472129560000, -1294813527328, -2469943083008, 2856607885620, 4890957411552, 1425136487500, -741230839296, -389470953102, -630728985600, 2090618035200, 167772160000, 6714207676770, 2595871426752, 6206220859196, 2895900672000, -1662119797500, -6318831958656, 2700390570744, -176319369216, 3516197760000, 212987500000, 5072984326368, -670420747264, 591936865458, -583893606240, -4116268500000, 561134567424, -202731737598, 4436973004800, -4374805919472, 590976000000, 1954778868974, -3301512521792, -1171274695668, 2022785630208, -4185895210000, 790141544928, -1358971992000, -95020032000, 426654152820, -1425100840000, -839076024000, -611189784576, -2142604268134, 5404011632224, 207594140625, -2417456457984, -1145496030246, -3625833069792, -5438200251848, 1086274560000, 2530925636148, 6349977292800, 2893334847348, 1563245485056, -2720658603750, 3330285542528, -4345666395210, 2151677689856, 1218155118708, 1273320000000, -3811493715316, -2724593782272, -2152910793600, 167689866048, 2124272102500, 286815707136, 3633178504284, 7250661312160, -461126210418, 719600000000, -10280495868006, 289767142368, -7005385784648, -765041049600, 1950925500000, 2900245893024, -4818355118472, -1598944665600, -3336494380282, 3186432000000, 3956371232328, 380448202752, 13681694496000, -3957271065216, -971223000000, -2171639924736, -6454785592296, -7804965595776, -427895683200, -268738560000, -8655230238704, -8696713198032, 2755621710882, 5659420388864, -337689843750, 361049647536, -9335489313148, 1004442779648, 282429536481, -308995180000, 13931469534696, 381558781440, -5613914756662, 7337230748608, -578583455625, -1648361472000, 6498459830400, -898829076384, 3605891001068, 1204300480000, -2569072127688, 4115661357696, -4659688620024, -2887568621568, -4067239496250, -1868221924256, -3240111455028, -4953411993600, -14413495977552, 316406250000, 17222875180760, -2525547724800, 282922954056, -471359262528, 6871694995000, 979007855616, -6781348677598, -5734004436416, -5806339200000, 2382632960000, -5771319314862, 2955163020480, 3242051227240, -5475793065984, -1740001803750, -2733916761600, 2627740948800, 347892350976, 13746454026242, -3281376000000, 9127461022542, 5786264365568, 5058755011722, -3446571612096, 3399753125000, 3095451394048, -4387236541128, -6770514716064, 7969008179544, 441650880000, -14530129920000, -10672647552000, -459423304326, 748998426624, 7387984498750, -8535494361600, 12920496869756, 5015684995584, -1578148725600, 6030134480000, 20132326211592, 1225447833600, -627062121620, 7793707983712, 1809645603750, -5122965501952, 12609222535170, -8679872307456, -16352166196800, -409600000000, -609404457582, 14389422336096, 1409018020800, -2955089101824, -7070070000000, 4745493995264, 8419183713594, 2742632374272, -14734701023094, 430467210000, -9208994235364, -1592535361536, -109750309776, -5491610188800, 1636769402500, 2252498927616, 30557263989136, -13025707638176, -1608923114568, -1369957440000, -11182560732942, -5641557680736, 8960580444020, 4926601314304, -1442812500000, 8878090905600, 19727943084492, 2640356352000, 4340872571078, -4938441480000, 6134347637442, -571733966848, 4849540807734, 4404890631744, 231982500000, -10864806297600, 4625326593288, 1148396044800, -11088957263016, 1492162560000, -13759809931673, 7393076390560, -800175203982, 9028291589120, 5901993305625, 4045439116800, -2004717024436, -2342655492096, 15806434139172, -2652037500000, -11832252216000, 6607385395200, -11573918544526, -2118593357440, -3816517297500, 8204235620352, 4877742590382, -2013928012800, -2140969038244, -5253119360000, 4990720704984, -6626248934400, -10498833017736, -557256278016, 6651840288750, -6688238162336, 4978638900099, 16033135648768, -27497413228800, -700233660000, 4856458642552, -1845392138240, -4958314598718, -23409368832000, -1756835937500, -640732405248, -16781434933918, 11237211617152, 8711640395514, 1867776000000, -2872660250934, -1199750653584, 69378150716, -3701806445568, 3903673500000, -3252946790592, -28371608637600, 2497237475328, -16408451462480, -928828620000, -1962930477600, 1348437816320, -35866816348800, -8433827819424, 5301855285000, -1931661541376, -4339219896000, -12227914905504, -7523939788848, 656100000000, -15167993688036, 6247005926400, 19136982500496, -11459423035392, -13816944308750, 14249146741632, -32401409207956, 7998974850048, -4393166749902, -2452252880000, -13471172233968, 4940627705856, 22519293148800, 3890977151584, -931539993750, -13734451816960, 47393069001600, -3608067740256, 25515196750064, 4024320000000, -24275525038380, 20030909069280, -10858722969600, -6804261273600, -2940186718750, 24421103408704, -7891462700964, 906479271936, 30345541537914, 7049728080000, 10636975397244, -1457386541568, 5092923081600, 6053679084096, 12093291000000, 915807264768, 31489110317786, 16408041031424, -2949463471518, 6165888000000, -959532647502, 15319724656608, 13459831848000, -5053454745600, -2390155897500, 23954224281600, -29861963243484, 12504086857728, 1052993774404, -5816975000000, -24760471895982, -12506930774016, -20191218553914, 3752481123936, 13368635415000, -20400310020096, 3193065489600, 21654956882304, 31324574900136, -849346560000, 49308992382753, -4104015175744, -13141599097932, 8709125407232, -14126621986250, -14660497152000, -24187489085284, 1141095182336, 31989086790696, -7557254380000, 21618864330744, 892616806656, -24458019279344, 17312492398528, -1078249218750, 1205914173440, 1900030792278, 3394005033024, 4235458507200, -1828609440000, 2955961381590, -21947190321024, -13277984314104, -2840743747584, -12245324696250, 5869182182976, -22462175836800, -8119536601088, 51611897712000, -2991816000000, 55073938947824, -9126142803968, 16713907141572, -36687303475200, 12507239995000, -10240352252928, -15021199597894, -6264338035136, -4000091571198, 1000000000000]