# Trace form for 15.10.a.a, downloaded from the LMFDB on 25 April 2024.
[0, 1, -4, 81, -496, 625, -324, -7680, 4032, 6561, -2500, -86404, -40176, -149978, 30720, 50625, 237824, -207622, -26244, 716284, -310000, -622080, 345616, 1369920, 326592, 390625, 599912, 531441, 3809280, -3194402, -202500, -2349000, -3015680, -6998724, 830488, -4800000, -3254256, 18735710, -2865136, -12148218, 2520000, -29282630, 2488320, -1516724, 42856384, 4100625, -5479680, 615752, 19263744, 18628793, -1562500, -16817382, 74389088, 4747430, -2125764, -54002500, -30965760, 58019004, 12777608, 60616076, -25110000, -126745682, 9396000, -50388480, -109703168, -93736250, 27994896, -111182652, 102980512, 110963520, 19200000, -175551608, 26453952, -61233350, -74942840, 31640625, -355276864, 663582720, 48592872, 234431160, 148640000, 43046721, 117130520, 118910388, 308551680, -129763750, 6066896, -258746562, -348380928, -316534326, -16402500, 1151831040, -679480320, -190269000, -2463008, 447677500, -244270080, 242912258, -74515172, -566896644, -193750000, -653802714, 67269528, 1404202496, -604711296, -388800000, -18989720, -1838535108, -263594736, -933452146, 216010000, 1517592510, -1826488320, -92853382, -232076016, 856200000, 1584423392, -984005658, -242464304, 1594536960, 204120000, 5107703525, 506982728, -2371893030, 1165104000, 244140625, 201553920, 1738192888, 1982840832, -122854644, 374945000, -2497296252, 3471367104, -5501061120, 444730608, 332150625, -837131904, -7962264894, -443854080, -2855652604, 2380800000, 49875912, 702206432, 12958699112, 1560363264, -1996501250, 244933400, 1508932233, -9292912160, -9633834218, -126562500, -5382921008, 2888057088, -1362207942, -2654330880, -1468125000, 6025516128, 519433766, -937724640, 384541830, -1884800000, -10520985600, -172186884, 9412392644, 14524184480, -4374202500, -475641552, 9372409680, -2508226560, 11888901111, 519055000, 4699539324, 752295104, 12357301998, 1034986248, -3000000000, -20548944896, 4909902156, 1266137304, -666039820, -2033910000, 5272067030, -4607324160, -10266400242, 5523517440, 11709818750, 761076000, 17939371288, -305412992, -4081466880, -1790710000, -29389595264, -8885956608, -14874618382, -971649032, -7592636250, -9239881328, 4986747414, 2267586576, 14552696512, 1575000000, -9005794812, 2615210856, 24533007360, 8341421472, -18301643750, -5616809984, 8988045120, -35668367872, -61889802736, 1555200000, 51540674060, -2354725280, -14219680248, 7354140432, -947952500, 2142770112, 18040320000, 3733808584, -4959901350, 26785240000, 31138732316, -6070370040, 46127213192, 23160422400, 2562890625, 371413528, -37583273180, -28777425984, -64108194474, -3424800000, 53750200320, -12879828864, 69657841986, 3936022632, 384845000, -30065573696, 18988923960, -6378147840, 66582489344, 12039840000, -44165857934, -20430814100, 3486784401, 62865858272, 11642995625, 9487572120, -107426841752, -9471168000, 9631741428, -976562500, 83623574172, 24992686080, -118366567680, -6952771552, -10510863750, 48236658688, -86527376118, 491418576, -143890252800, 46493180000, -20958471522, 9989185008, -96153502016, -28218855168, 2967143750, 22004244480, -25639280406, 55146595392, -10950513586, -1328602500, 78028730536, -49377494528, 93298314240, 31849059576, -33751562500, -55037905920, 65684034654, 11422610416, -15411789000, -19353600000, -64490563926, -199503648, 96313264572, 87073597568, 36261877500, -51834796448, 224890598400, -19785876480, -75480981613, 7986005000, 19675892898, 30371741600, 81630823734, -6035728932, 37885047500, 75542382720, -45918628164, 38535336872, -205457861760, -15693750000, 11648440320, 21531684032, -52958019834, 170349526016, -79216051250, 5448831768, -29558244188, -329137029120, 113740402176, 5872500000, -39907073784, -48981614976, 185371029194, -2077735064, -31492800000, -116277855360, 268894623982, -1538167320, 276009110408, -68564480000, -148921343748, 42083942400, -148716316648, -21351173616, -58585156250, -37649570576, -75609623826, -118067564160, -4728975360, 17496810000, -429099282588, -58979552448, 122924993310, -37489638720, -69489157500, -147945553920, -20259756926, -47555604444, -7521123942, 64362820000, 202962996000, -18798157296, 166846571520, -6115431168, 69352200000, -49429207992, 29278318028, 128338294752, 70513210798, 12000000000, -79704458298, 260566814720, -65734962918, -19639608624, -109719755000, 157001025696, 129157493760, 2664159280, 581702288616, 16533720000, 190375070877, -21088268120, 413723985525, -571308195840, -38270843750, 41065600968, -417069858696, 325799854080, -192123335430, -46839275000, -36460262400, 94373424000, -76041683234, -71757485152, 19775390625, 2482712064, 479090023156, 16325867520, -179179695740, -222048040000, 140793623928, 117558381056, -795018191016, 160610107392, 414739200000, 59498473528, -9951226164, -120484479968, -179533434714, 30370545000, -284425530240, 75111293376, -202280996412, -19946989656, 146519475000, 281180735424, -343729726778, -58210786048, -445585950720, 92900000000, 772080445938, 36023179248, 352298322000, 324286146144, 26904200625, -98132029440, -1618840286840, -67807684224, 260632163546, 73206575000, -644943456414, -696484438016, -465531463680, -35952180480, 74318992500, 452285655040, -231307860924, 247559210944, -560165889116, 192844800000, 168321099094, -206162696240, 4039948872, 19141637760, -81102343750, 56878720992, 973406837760, 911913413568, 1049654628072, 3791810000, 448383294960, 126389424384, -1084849433246, -72161280000, -161716601250, 462992264416, 981251777280, 19839605400, 460548375760, -217738080000, 122223510873, -124554929264, -13209512388, -752725884960, -197833953750, -184508852768, -780340571658, 842520330240, -691889120158, -10251562500, 2530136362520, 46055277472, -436016601648, 150333092720, 719894400000, 233932624128, -373134728150, 256432777896, -110338843302, -424675200000, -1459396112658, -215000801280, 134213354376, -759705461248, -118918125000, -278631367944, -36453146588, 488066806368, 853882767360, -1539380000, 42074135046, 244404018432, 131051020496, -75955695840, 279798437500, -790890332160, 31147888230, -266329957376, 882279896160, -152668800000, -2809944314380, 176663431736, -852199833600, -2533420948400, 151820161250, -13947137604, 509839804688, -511038589824, 762403804164, -46571982500, -1521310094372, 1176458942880, 663228132044, 429707367008, -354310402500, -558648576000, 1348236349440, -38526965712, 703413058924, -121093750000, 759165184080, -334494296688, 378018352, -203166351360, -408626696250, 473466270720, 963000989991, -862143672448, 1320565194206, 42043455000, 470272128000, -1208161140736, 380662685244, 346109504472, 877626560000, 60935903424, -53203435808, 575561011200, 1000941461838, -377944560000, -1318532420630, 83833886088, -1692114439364, 1238658940992, -243000000000, 384614008064, 487704078000, -1664464536576, 75528144937, -11868575000, 397702074636, 2728526315520, 4391750282140, 102557121624, -1149084442500, -448288452864, -53949225420, 43802054344, -1609602230372, -164746710000, -1863685505730, -312114922144, 427037429430, 626121512960, -583407591250, -373193256960, 437241684580, 3949283387424, -831578419602, 135006250000, -2288099042168, 447404912640, -1800431308800, -262736138616, 948495318750, 1416403691584, -709146230322, 61647156000, 227475232072, -1141555200000, 1453089074328, 257962255704, 37747154628, -24738452352, -58033363750, -385253058288, -330598817280, -707824083456, -356270174406, -145047510000, 3879324111476, -6427514759552, -2380557216384, -899562393600, 535125000000, -719762485248, -4288762827262, 301923926452, -1204844088942, 990264620000, -913231779840, -78703571592, -410196941720, -246892867200, -615003536250, -326523294936, 4432452909372, -748430387568, -1682551116000, -151540190000, 403926540534, 4455801495040, -5101038700934, 183674512656, 996585600000, 4778381772128, 1178768417472, 821831447040, -704599188008, 127575000000, -1738792315174, -46593761280, -729469379772, 2669928819968, 3192314703125, 211832079336, -578292498392, -2160083333120, 1987173596160, 316864205000, -92349253456, 675655139232, 3745954535518, 118232976752, -1482433143750, 2675565527040, -3948746073534, -454961608704, 3422533154276, 728190000000, 728031654720, 159628295136, 2430983623680, -2889137797632, 152587890625, -741484116776, -5013074021616, -257639147936, -3889945581620, 125971200000, 5847549222112, 945226437120, 4174794598860, -1075578495928, 1086370555000, -190732747680, -2793909116554, -1104036441632, -1151794100088, 1239275520000, 2666709413010, 595685374992, 96871558596, 5218408857600, -76784152500, 594865266592, 44736794768, 173564379072, -5237471430704, 234340625000, 1461265920000, -4668546751424, 4953854067694, 302438495304, -1560810157500, -6964112197120, -401752009350, 18915901440, -5850767266300, 2169604440000, -881006977178, 1716397130352, 2522237317596, 479446684416, -3438163200000, -491699973240, -4376075187840, -4648715201280, 3736304268552, 277956630000, 10951333907528, 1875994214400, -8665209730830, 81039027704, 207594140625, -5896894951056, 8985492116934, 30084495768, -1865566141440, -523207440000, -3044245127580, -811851984000, -3864768232356, -2330971504704, -4976415558750, -667386286080, -5192763752394, -360713368576, -712010056540, -277408800000, -7085642139284, -6129221791008, 4353766225920, -117113272112, -1784782877500, -1043266137984, 6079718205860, -282052843192, 5642285200866, 1488000000000, 4693802399998, 318817833192, 13420089301640, 9478792527872, 31172445000, 262939851672, 5021204843520, -2435311469376, 10664465643094, 438879020000, 1538102840760, -1276266402432, -3217942080000, -516629975040, 8099186945000, 330355750720, 5393181636864, -2326809154464, -8156633225088, 975227040000, -10784275169280, -761500283508, -3577434492654, -2614945246880, -1247813281250, -1654895942100, 6647708078816, 4644182753280, 282429536481, 153083375000, 314905270328, 5092134520032, 7078208351366, 1668279434784, 943082645625, -4131240345600, 9606625863408, 768493341720, -2610519049604, -5808070100000, -8701574181912, 145841049600, -14184114055504, -767164608000, -6021146386250, 304166732936, 780171055668, -8897928158848, 14119949629440, -79101562500, 844355459656, 146440603648, 6773509507932, -1916360092624, -3364325630000, 2024407572480, 9053045118046, 716718782960, -9587691982080, 1805035680000, -6977005641126, -563174495712, 7168912481280, 14577239250944, -851379963750, 3180072764064, -9091077846328, 3907169353728, -10723313306398, -1658956800000, -7008717465558, 7377810717472, -13756818945546, 39804904656, -917578125000, 979422224256, -11655110476800, 718133738856, -20974679346920, 3765947580000, 15168361137632, 1137702120960, -1697636193282, 4430374066432, 324646103750, 809123985648, -12753860471228, -2473426717344, -7788433663296, -586077900000, 713113973760, -2285727268608, 19009063894996, 1374918907112, 240338643750, -7218137469952, 12784465840222, 1782343802880, -127843661744, -1178000000000, -2076781712886, -3088321783752, 5290806373400, 4466874226752, -6575616000000, -1409193288000, -886991600466, -2636132542848, 6037456732090, -107616802500, -2500427947548, -12168371650560, 6320327173416, 6475361147360, 5882745402500, -3999577056768, -1086405133616, -1042528654184, 7557163453440, 9077615300000, -4210815764586, 2579773825656, 208206170288, 5661744463872, -2733876562500, 1862125854720, -9261063971812, -4458070379520, 24276192341790, -297275970000, 5320406806974, 16453061730304, -3867747260246, 925231443696, 5857756050000, 30697342157056, -1248354909000, 2240663556464, -12554573272280, -1567641600000, -4302941838265, -673284396376, -5223735678006, -25564174333760, 7430563194375, -16159795488, -39227163072000, 1129052792320, 7801374430332, 324409375000, 25666423843200, 7052961403008, -13631954489106, -3893627351040, 2937212077500, -7412973555456, 17398726839362, -4198618512288, -64335460220, 470184440000, 18216138470400, -1793533179840, 3321198114376, -1602655994880, 7723313748750, 4339397732984, -6113959510653, -8947998720000, -20255789948640, 646866405000, 16674951781656, -3763679052672, 1593747324738, -3925007109120, -1875000000000, 2460111069600, 1958320054710, -1842193503040, 6612096722454, -12843090560000, -30225277196926, -488894043492, -9300970845964, -15444811228736, 3068688847500, 52838049552, 9271706394432, 6118933000320, -13349321379840, 791335815000, -3719408881284, -22879097743232, 441053305568, 3121362286632, -416274887500, -15228217589760, -16642086802560, 2767556480632, 7503650298000, -1271193750000, -985670911460, -10120545450080, 943523665920, -374384836224, 3295041893750, 1744066406592, 1328676661212, 18641303497280, -4289599606554, -2879577600000, 2712970973312, 13798311607296, -10274333164752, 1492538912600, -6416500151250, 31797664459104, 19179235215360, 441355373208, 1321393710640, 3452198400000, -2394217779228, 5837584450632, 26328879064624, -26660099358720, 7318636718750, -536853417504, 9212972576256, 9633294223360, 1161241765474, 475672500000, 13343506365212, -34550289625056, -3232472976504, 145812586352, 11212107055000, -3967510813056, 34091413503594, -3415531069440, 15015053364714, -190883120000, -1602145704530, -168296540184, -40114860489600, 14415957658624, -2550916800000, -524204081984, -33885021275004, -9418506284160, 9183655366300, -1119193750000, 21780464542542, 6429173022720, 21575739232562, -124591552920, -18368497040000, -33024914714624, 22356737943048, -3529119584640, 61150194385920, -5553722880000, -20921821160671, 11239777257520, -12062628843588, 21906265535264, -9296636488750, 3408799334400, 30624901989968, 20594260612800, -12046021648488, -607280645000, 1923648167820, -1729445062896, 21931411998720, -2039359218752, -4745397656250, -30143165075968, -18389317875142, -3049615216656, 27349831903704, -5774925830000, -6124379529906, 6085240377488, -46327276438560, -9563472696960, 3116717133750, -2652912528176, -383047004160, 53283713508992, -2077790542080, 1417241610000, 2762515385192, 7083832320000, -34757041889628, -5392945397760, 9095435320000, -4777343748288, -17450239786674, -2813652235696, 9956924458110, 984375000000]