# Trace form for 15.8.a, downloaded from the LMFDB on 18 April 2024.
[0, 4, -28, 54, 466, 0, -54, 2264, -2436, 2916, 5250, -2800, 10368, -11488, -20964, 6750, 20338, -32032, -20412, -33712, -41000, -13392, -19644, 170088, -126846, 62500, 347708, 39366, -165748, 477616, 54000, 46832, -1063916, 102816, 54012, 43000, 339714, -153616, -769432, -769500, 666750, 375592, 402732, -421000, -2040596, 0, 922272, 1210520, 1626480, 579204, -437500, -325188, -2146192, 1575488, -39366, 1212000, 5773380, -3136968, -2186604, -2288608, -830250, -4545304, 5573928, 1650456, 10293082, -811000, -2849796, -5036632, -9434504, 49896, -445500, -2625392, -1775844, 2617208, -3041564, 843750, -13374352, 6733248, 15359328, 3505280, -8666000, 2125764, 13003128, -17321256, -7530516, 2631000, 13624760, 5724324, 23149164, 12431928, 3827250, -3365648, 15479424, 4277664, -32795880, -8182000, -34913862, 11522888, -21248492, -2041200, 7281250, 18511440, -5557464, -11515960, 41229348, 10476000, -38347428, -18553560, 7558272, 20749448, -29385500, -16468812, -63762436, -48526576, 8173008, 1701000, 87192776, -8374752, 93774372, 13136016, 25636500, 12275668, 20524112, 17683164, -68121784, 0, -15282756, 41561528, -121891476, 29429568, 10575000, 51685776, -47781036, 69828160, -98332368, 4920750, 96740868, 5354832, 83953584, -44739088, 2516500, -12513096, -64323096, -126089440, 14826402, -14259000, 71964992, -42727770, 65274632, 73297024, -843750, -192458032, 180570264, -23351328, -52652928, 70204000, -76779468, -124618528, -135841080, -46110924, 34161750, 90799872, -14880348, -122204104, 19783076, 10422000, 169268256, 3672024, 71599140, 186914364, -116732000, -24576048, -10580704, 155693664, 34188696, 35375000, -109449956, -8350992, 166739328, 42123200, -29889000, -141276568, -86267592, -33182460, 83192400, -106377000, 111324456, 267468192, 305154088, -9762768, -101664000, -84008240, 220457592, -139643176, -266967608, 35518500, -334654350, -352471104, -14320476, 68952704, -38062500, 108298512, 276135396, 93834000, -232604892, 110844000, -321368660, 123994152, -874899136, 139617248, -133123500, 18853952, 198549184, -49857552, 134865120, 141035000, -92470734, 242510368, 444564928, -232671204, 40807500, -224879440, 78053112, 279848552, 311143236, 45562500, 507347076, -24798296, -452404008, 246442712, 356334000, 428011776, -707773332, 226334400, 253479132, -268185000, -280291508, -116015760, -131754936, 105108608, -368651250, -48315160, -20468348, 28697814, -290561020, -36028000, 253036116, 343649824, 1213484280, 39608352, 82031250, -392068752, -120830292, -828437664, -1297437988, 3577500, 1244520610, -681513360, -162486864, -305985104, 624073500, 348182064, -643928148, -188719544, 826815924, -338949000, -951817680, 184259772, 989920136, -815628112, 39366000, 475634000, -631513400, -724739616, 772294308, -43750000, 231702768, -32416624, -21712208, 34140528, -195202500, 936554424, -297925992, -240865288, 232392632, 57429000, 249648120, -92522832, -775594764, -663643508, 1055012000, 35748972, 453786284, 1159261536, 185052330, 357882000, -1009520580, 74952864, -1396058436, 1657038384, 162000000, -924048128, 1886039024, -319493484, -1603437808, -60382000, 39374748, 1940348360, -239259456, -565015392, -593409000, -259203600, 593696952, 1548460376, 1403415628, 31347000, 1676057000, -2268672800, 117057744, -1761010944, -1213875000, -643031136, -1413014112, 1008677024, 247651506, -179500000, -802755296, 792467172, 437169480, 596501376, -503482500, -885524992, -1061518920, -111986064, 1733944416, -638879000, -234837252, -31612264, -3218574180, -1525263588, 395719500, 1604658144, -560915928, 1222588720, -650164296, 613737000, -2789066244, -809550232, 2060181324, 77304776, -327562500, -560965500, 1923381708, 1113570432, 1837169532, -609030000, -1810535412, 1099425312, 198481380, 782829792, 486060750, 1267794132, 5177962768, 794263806, 3105800536, -696454000, -609878700, 163016216, -3830463072, 273806568, 1024272000, 1906981392, -1715746968, -1874974720, -1193242072, 105468750, -3488014248, 570498448, 293591628, 479313680, 162933000, -390793248, -3589827144, 635403816, -1752066126, 1672416000, 5930715856, -306909000, 718602596, -2168192448, -460876500, -3186625008, 6088042188, 1838272320, 2400817164, -1595090000, -1487594484, 1828482800, -2954375536, -1187546400, 317781250, -421302504, -5830712424, -159866624, -5032148376, 0, -854897640, -3985873952, 3222376992, -3207076888, 533958500, 234569196, -4476731524, -3032691840, 672336288, 646923000, 10167529972, 1964306808, 3224218608, 3172239808, 449860500, 4027768184, 4997313328, 882469080, -797968860, -500500000, -2010088008, -3746363312, -4690354872, -1886808384, -857568000, -2863107408, 1185703920, 2175385976, -3024359328, 511420500, 2008879508, -1876831200, 5886420444, 3521103680, 136075500, 422239716, -2817431424, -4570354728, 1257246684, 2575098000, 625221388, 3024985716, 626943452, 6942407864, -318937500, -1091880096, -9050468480, -2313025632, 5128919016, -4510906000, 2356949664, 3334743464, 325114152, -237062052, 1596018000, 3252413088, -4622412096, -1578639640, 4658132984, 1518858000, -1799064660, -3304208600, -1564573968, -9280387904, 3246301000, -4469158044, 3939521196, 2167205888, -929151000, -526750000, 1001145768, 1148530752, 1066316808, 3556967040, 1695883500, 6443224432, 9051486296, -3817025856, -6476171366, -759504000, -28697814, 2918237048, -1795937808, -3259897056, -2702562750, -1669109744, 843372432, -8010823632, -15065417344, 883548000, -15404207128, -2329995072, -2024426520, -2912027632, -640625000, -813051432, 4815971964, 11272829032, 4208794020, 3021477000, -2460277536, 4528097802, 14455707836, 11124713552, -2274790500, 895631152, -1922096764, -2286849672, -5858037900, -1272795000, 1386980280, -5222959776, 2077020984, 3565527012, -11052927000, 4087671352, -1594034316, -302116840, 2063163300, -209250000, 12205167504, 3969995328, -6514726428, 5860015396, 3302329000, -1668395232, 6304490800, 2548101376, 6470191548, -92055000, -28976829312, 2831556960, -1618132092, 8766744592, -605252250, -3238882168, 5000279456, -663268716, 14944111476, 4061778000, 5911047576, 10952176424, 1253739600, -3313526616, -306937500, -8286223904, -2891350080, -764833760, -15803347116, -1332031500, 15269482952, -17602722912, 4063393512, -6037770992, 5715110500, 5438551680, -16071514080, -2533559496, 6386077800, -760167000, -9434622672, 1203182424, -9159028392, -79802472, -6363387000, -2636293120, 13258807912, -2487551904, 495627672, 2657625000, 7503656778, -5884583512, 8592797836, 3423544812, -4972861500, -17690690688, -3628328364, -6035933184, 4872577920, -591219000, -5177217396, -5712638520, -11428684848, -3390655040, -218553500, -10222885260, 7618198904, 2184723760, -2077501284, 3352602000, 24773701664, 5633635536, -3318557664, 1424406784, -1981968750, 11176921160, 12185910288, -3671704728, -13739626528, 6382156000, 18106586424, -1431144712, 37394336440, -7362887040, -4874803500, -1499863216, -6877753416, 619751504, -29398607560, 2050015500, 4201338240, -9500749728, -5373855684, 16413895952, 9999127000, 36374184, 18998294136, 17875773360, -14458303548, 976562500, -1318060496, 11126827872, -28181010400, -8963437424, -324769500, -4857303472, -21835855560, -1265032296, 27732005100, -11661229000, 1726214868, -2419225248, 4937465656, -1913910768, 15985446750, 10353861672, 5488463448, -5501676040, 6414143136, -1291626000, 11755122336, -6435725992, -1294590276, -12448867488, 5432937500, 10705995936, -30340031848, -5711125664, 8984236068, 4983468000, -15107722588, 1907944632, -5188027296, 8690356640, 187420500, 1375821128, -23491149816, -1481260824, -7628820048, -8161120000, -2217300156, 31531067760, 1733078592, 3801865680, -1908297000, 2445134048, -138752028, -14839585192, 17345490704, 615093750, 9702513198, -32591346144, 16493969520, 14472022576, -5830272000, 11792504448, -34893201024, -7444828584, -9749902608, 3087249000, -19003897800, -1238527692, 8615506976, 7716497264, 2239488000, -8902512640, 10008869520, 4908537792, 10957651272, -2423898000, -27220629312, -7419103872, -7030711984, -10731972852, -2589812500, 18798467056, 11196950112, 9893562400, -6766496740, -1591353000, -27880250772, 42266489808, -5376772332, -9104354632, -985387000, 2555349120, 50113191744, 7070133696, -13239170712, -16835640000, 19085595580, -9436823568, 18553348992, -12739018656, -6317514000, 20739048352, 28152570420, 9413553996, -22296645964, 7462750000, -6569315406, -3581411368, -40560073080, 1549681956, 18875941500, 3893999216, -4173976872, 23800571120, 8929190844, 6323028750, -11516799408, 10886786112, 9479280312, -30271565968, -4906583500, -9662139216, -23143597032, 5257490120, 36172004760, -4083561000, 24362233100, -12627195624, 22706160888, 5047828416, 843750000, -37667319760, 44244891688, -3428914032, 40428302592, -1456900000, -5489746164, 436578512, -54087492160, -7359463008, -20894652000, -4373932776, -15362417124, -2527702640, 5407157624, 1917999000, -32742891336, 44834989376, 20949327648, 35462462984, -14599416000, -16464192516, -14505276820, -138978144, 9932450040, 731750000, -1931160072, -25264826208, -16371328308, -31684083680, 19204020000, 1033627200, -23380350432, 4173032196, -56207825838, -1063551000, -23141892780, 2680227560, -75639499056, 20805158664, 18973935000, -7330125168, 16875740556, 938695648, 14914818980, 1929514500, 2291393984, -8434263680, 14248710000, -18509390352, -16623687500, 9062875512, 78466465392, -70751542624, 36743634288, -18288816000, -8714187696, -18194632668, 122741015004, -7659379640, 2790065250, -63709312, -16926218760, -9162355824, 50028773592, -3387513000, -27817937676, -43844061728, 28921876072, -2453557392, 14220492000, 64458375024, 19682092800, 72034446824, 47896274004, 1606500000, 21860410560, 6459534728, 11284500096, -28280646520, -19570467000, 3409527060, -130694629744, 30227224480, -41825638008, 2486943000, 44679773968, 3118417056, -107896898052, 11564107840, 5264797500, 12381718396, -8821193080, 29985339132, -45780570184, 6367536000, -23908196520, 40285949432, 8361276688, -21494404080, 843937500, 17990201712, 7136750376, 20694797456, 41518696392, -5964678000, 57393756432, 6374559200, -12988385208, 6523901360, 8125377000, 7910091936, 15652339968, -37481831960, -25452205398, 3240303000, 78201175184, -1153608318, 14196100384, -44542040160, 16831948500, -98046617360, 4305476544, 8400185352, -134779442880, 671875000, -184538952, 23097378944, -52462892320, 17989575444, 17520253500, -36442047976, -15490150668, -28707115240, 58710730024, 2982636000, 23695605048, -56719354440, -41192310240, 3889228576, -7930366500, -1488034800, 89720838668, 28424705696, -51291136656, 2557710000, -283284060, 6101701488, -14900933856, -18028688640, 5308031250, -17584348848, -53057830424, 31349964384, 104238465852, 21934434000, 13439617632, -62626912120, -12306940768, 13494839760, 52789821000, -39426297712, 1132948728, 13217297472, 50994743096, -12822907500, 3980593772, 46226035968, -4051391256, 24902250080, -20759400000, 31601319264, -70527974196, -22052720096, 3634771968, -2400250000, -460330140, -8395134840, -160510819140, -106447265672, -11125593000, 102493638096, -62073110184, -9506443824, 50210799840, 13000624000, 30056194692, 65564876456, 136611867984, 30438298044, -45285249000, 46250840032, 52250173200, 51397018896, -105120150212, 7637004000, -55996135728, 57991324872, 36616547880, 167305706464, -12022375000, -9361711836, -20243878920, 38657307632, -27955275012, -26956698000, -150416892152, -23853293856, 59850377160, -18368152944, -25592672250, -18603284220, -57313621952, -13525545240, -89848398316, 35035218000, 43340710176, -86005134952, 100694666460, 49488359184, 3552370500, 74555943312, 5509980288, -140387836160, -6230997788, -12023437500, 39893138468, 47051216768, -22189371768, 42347203488, 4685149000, 15126347592, 88586887452, -46269048792, 20333781540, -2070213000, 17577695632, -46266510528, 80348585584, -36030964896, -21422029500, -9162105232, 94532454648, -45505006632, 33472385472, 10679534000, -7862438016, 24525978752, 177928619048, -12005763948, 10417968750]