# Trace form for 42.8.a, downloaded from the LMFDB on 08 March 2026. [0, 6, -16, 0, 384, 220, 0, 0, -1024, 4374, 6240, -5272, 0, 5580, 0, 27432, 24576, 22940, -11664, 73680, 14080, -18522, -45504, -116224, 0, 9258, 287456, 0, 0, 446692, -29376, -464160, -65536, -380592, 533856, 117992, 279936, 133956, -317312, 505224, 399360, -976788, -148176, -1306200, -337408, 160380, 62976, -2065104, 0, 705894, 974736, -30672, 357120, -2016540, 0, -1490352, 0, -2461752, -2872416, -1129472, 1755648, -2307492, 3870464, 0, 1572864, 5564184, -867456, 7014984, 1468160, -598320, -3358656, 4247600, -746496, -527268, -2345312, 3762720, 4715520, 7677712, -3174336, 1256016, 901120, 3188646, 5080032, 545360, -1185408, 15411864, -14661056, -543456, -2912256, -2961924, 4548960, -6873720, -7438336, 12985056, 521088, -18982912, 0, -23944452, -1882384, -3843288, 592512, 12363580, -1116288, 38253936, 18397184, -4630500, -40836192, -11761320, 0, -39729708, -41874304, -43344720, 0, 26887660, 523584, -8155968, 28588288, 4067820, 15163392, 6459376, -1880064, 39654990, 10738016, 7528464, -29706240, 18415320, 0, -35811264, -4194304, 40752720, 45578688, -25315472, -24357888, 10380552, 26892096, 19997928, 34166784, 26462236, -12189312, -11987952, 7551488, -19283184, 1914240, -172776048, 17915904, 61462056, 40926816, 0, 8573184, -55560060, 64938240, -42131376, -20307968, 16723260, -11722368, 90141504, 32334336, 110418636, 33595520, 13881456, 25559040, 26117392, -8503056, -107233608, -62514432, -158025600, 78082176, 92758240, -9483264, 61999386, 44954048, 53712720, -83596800, 113772988, -12185856, -113107680, -21594112, 102022632, 3542112, 308023176, 10264320, -28169508, 43969856, -175233672, 4030464, -426405976, -117828864, -333840624, -132166656, -13502538, 63691776, -309132576, 0, -2599092, 174977376, 83610144, 45177216, 228106916, -33172416, 366536592, 62383104, 38660544, -108546720, 161028896, -1963008, 159702072, -485082752, -84727296, 22855680, -229070720, -37044000, -522818904, -129058560, 442914912, -316230720, -556546864, 0, -10438176, 444266784, -7140096, -95382528, 619864824, 174047616, 692736144, 0, 6749082, 79275744, -608640720, -157552128, 77662812, -289778176, -79940952, -183834624, 564094556, 209555424, 146779296, -72286208, -460069200, -34376832, 251277072, 112361472, 995955612, -44497104, 0, -147679488, 25882780, 59356800, -15729408, 247709696, -404318520, 264277440, 1292769840, 0, -820344192, 31992320, 566851824, 100663296, 633466956, -403802496, -90370896, 356107776, 325638468, 433474944, 213448080, -55517184, -580201752, 160491072, -212709888, 448958976, -1044509156, -21415104, -223599984, 93962240, -126875700, -390687648, -2239402280, -38292480, -345310764, -688887168, -338372640, -214953984, 737518652, 196338816, -668065056, 271846400, 707727888, 326789760, 53491536, -47775744, 236470194, -451133888, -209752848, -33745152, -398057508, 0, 553895520, -150099968, -277451568, 327753888, 161506752, 240814080, -549749424, -611563392, 1005529032, 301793280, -2273516040, 389181024, 156413712, 491373568, -560574432, -795489792, -901173584, -203157504, -724150548, 1249636576, 86016168, 80385024, -175883820, -252118656, 940416624, 57671680, -1254056256, 6717312, 2252727136, 204073344, 1671072276, 1133676736, 277273584, 325122048, 697497360, -234662400, -1435459128, 34903040, 97653924, -1267841280, -150872240, -75866112, -1209703188, 974801168, -517753728, 986359296, -462277248, -231320448, 0, -938307584, 1006334496, 792324960, 908257800, -34781184, 282080364, -302498560, 368308296, -186384384, 1336476972, 369589824, 2377770336, -189563136, 303575580, -515119296, 3580338688, 291133440, 352673022, -2502462112, -1213370496, -439918080, 508622296, -1140346944, -2805155760, -476053504, -712078452, 1685563968, 757393392, 831043584, 947737428, 933470848, 859679568, 33349632, -2706408504, -108020304, -259866264, -1214906368, 697410432, -421568256, 1559407664, 0, 187031040, 260393440, -952219800, -1532444928, -3947351180, 1520633088, 6185875584, -120472576, 2314546056, -3560216160, -2343892128, -245970432, -1800466932, -1337050496, 888018768, 37920768, 211587948, -711424512, 4144401984, 791269120, 116917020, -1078194432, 1298711152, -71442432, 467112300, -986792256, -2630477376, 2448251904, -1642264792, 45909504, -2527482624, 1177419776, 219485592, 4301887488, -6088335168, -296352000, -5327987724, 3092544064, -1505460816, -2613516288, 5341288516, 407600640, 445606392, -752724480, 206084736, -2459058048, 330503184, 0, 1217281308, 260701952, 2355516720, -2542701312, 9159027136, -2881363968, -7891124832, -2679955456, 514596726, 2435375808, 1893398360, -2774062080, -3505215720, -407776640, -300188592, 0, -7922300372, 710582544, 2778097872, 1720810240, -1875420000, 2331929472, -1977227616, 33509376, -1471075044, 3133294944, -22359888, -521981952, -890375396, 1451532096, 3856432176, 1829650432, -3420501696, 3502576224, 5326004272, 260340480, -2227842624, -4831350528, 3456388584, 970457088, -3039426848, 2617011072, 2582006832, 413400064, -1470057660, 1834842240, -385126576, -120324096, -4057332408, -5317994912, 3769004736, 2537919360, 2221573720, 0, 7936136112, 687233024, -2341225296, 734129760, -2173432680, 481821696, 3548922408, 2237123584, -1086466608, -1901199360, -5062098272, 7013784384, -8688794616, 1178580480, 3268226448, -1962376320, 902986704, 0, 2211471480, 11784745984, -4014597600, -2291920896, 5649777660, -614017152, 2845110912, -268435456, -1794617208, -497410848, -10562658592, 2608174080, 17037849792, 2917025664, 5226008760, 2917036032, 4006582092, -2093991264, -4259267808, -1620190208, 1484001162, 1414875264, 1235531712, -1558904832, 14302957590, -10749948864, -823385088, 664355328, -1463394024, -6935486976, -14424658704, 1721094144, -801506016, -5611868064, -620245528, 1279867392, -11004472188, 8760915584, -1072510200, 2186674176, 3596871496, -2060535456, -10596041448, 1693583104, -1682161668, -897053760, 9577424480, -780115968, -9631440, -5581830368, 12081744, -767228928, -6958834028, 2821568256, -2325119472, 483295232, 988479072, -7265913504, 2023527584, -1234123776, -3013939080, -8737615104, 0, 122511360, -5978078148, -8837990784, -5266690296, -11057667072, -2841290784, -1947098496, 13333306624, 1146617856, -582832596, 1139016912, -4245327936, 3933571584, -7632383864, 4205361024, 10600311792, 2619316224, 4056290136, 6615630432, -5483808400, 0, -14088589440, 6762576640, -3902278896, 548683776, 19109899596, -632375424, -1127932176, -3555843840, 6796514304, -10919121408, -22912078512, 4156047360, 20124718140, 5386098816, 5113923336, -2696408064, 7221217580, -1065756096, -1782512688, -1299709952, 1031786532, -4456706880, -22570051296, 1070288640, 20195692836, -18159996288, -5532334992, -750231552, 13140762332, -2115217152, 3250745664, 5769056256, -436175280, 18524788608, 5710571328, 2069397504, 7179247182, -702715680, 10710746208, 7066792704, -5257289624, -2448460224, 15940775616, 2150113280, 5709522816, -12282623712, 12134133888, 888413184, 656481420, -6671671936, 3096500400, 1635778560, -5307204148, 14882164992, -18313373760, 1671513088, -12557890944, -10802266368, -1508581536, -544195584, -36602958144, 1049948192, -875127456, -6862950912, 23484179268, -2270491776, 20063966016, -4000923648, -384378372, -6114466176, 6847914392, -10113638400, 20736231276, 18952603456, -11043429840, 4997259264, 12246751888, -1709732448, 11057027328, 5936527360, 7415801424, 18683272320, 17514405840, -606928896, -1732982292, 1557376736, 2743022880, 3967960704, 8405466060, 8864169984, 707737968, 2877059072, 16114475016, 5606734848, -23888316072, 3437614080, -45013835688, 0, -28154235096, -5350195200, -45146228856, -17443531008, -18651687504, 7281471232, 5597052048, 16923282240, 544730944, -779894784, -10069949832, -25448161824, -11272751424, -7238891520, 15446526532, -2314090944, 28062788640, -1382023168, -17897016096, 12831520224, -11352238072, 6529448448, 4624467108, 22144278272, 915635664, 226695168, 1873492224, -9072223776, -38863765344, 19713483264, 17361909360, -11054790144, 25877482128, 656916480, 4972292640, -13357268304, 12308079600, -1802848512, -11878712260, 31145776128, -7208810160, 2814070784, 2324522934, -18835019328, -41929775216, -11214955008, 40649419260, -816977792, 3227347368, 257949696, -62320863520, 3703343328, -14496512040, -27289982464, -15202764720, -4267073664, 5346629664, -7541047296, -4636517976, 52594432800, 397567440, -21365799936, -5961811968, 8262435456, 26203411488, -8458665984, -6426825768, 28312689984, 10038221728, -864162432, 26574853668, -2618005440, 39894697152, 4076273664, 20110015340, 4638698496, -5527639824, -19784484864, 11235248856, -9050067072, 33464003808, 0, 16383167388, 17544916480, -13376912832, -166341888, -50259551204, -10687909824, -9964284384, 11198552064, 867903876, 11951342112, -37889509536, 5351049216, -73558969536, -67928397824, -396179424, 2891341824, 76631666072, -5098099392, 2313235824, 14598842624, -35363210688, 20996146944, -12654581632, -2123034624, 12071928792, 1025552096, -10052557488, 23458341888, 21593849628, -9624327552, -45489646752, 3992518656, -2159242596, -38636063520, 34197029264, 2474274816, 19827167136, -32042634752, 16926434136, -6946990080, 59514575548, 3316191840, 700322688, 10305849344, -9480389904, 22064280960, 5036297456, -125632512, -18301868928, -27212223776, -5010941880, 10220932608, -41916775228, -10617260544, 49614318144, -31045296128, 8280804528, -1925563584, 40056614904, -5422546944, 18330002748, 71624901632, -20325880800, 1462763520, 2698868060, 17685425088, 14764712064, -14660526080, 9466105824, 23199985152, 46348183616, -2370816000, -8640421926, 55727053856, 47765066688, -33460409856, 45200984036, 379873152, -4348735104, -8259747840, 7353020808, -24765829728, -3331279232, 28346554368, -31943364516, 28730711744, -13838542848, -20238766080, -98321575860, -44626235904, 6681982512, -35618999296, -4102437780, 9648710784, -32444628704, 0, 25755157944, -67233259424, 12018110400, -668043264, 8390831424, -18812856960, 101669084304, 28433074176, -17455505508, -66693225984, -23026270512, -456966144, 49791906132, 41633063168, 17684757864, -6104481792, 59929060908, -1372257936, 51612040392, 39671348736, 35372524176, -33552508992, 33355643808, 11139047424, 7987410816, -47373503040, -2801756952, 44335113216, -77149552320, 60245804160, -35271033264, 0, -62417399904, -4992453408, -54624832704, 431941248, -47371934040, -34787643264, 14795744040, 5073647616, -82063895880, -6007709952, -12978837480, -38953006080, 9013049820, -11997119232, -29096805264, -10083336192, -92871627648, 14809606752, -54775673280, 4970419968, -12459870136, -813773952, 32043722688, -18545803264, 67492620360, 34582375008, 79603393248, -5116220928, -6290761764, 45264032640, 27887119344, -11765415936, 73388040828, 24810582528, 8668378320, 36102051584, -15327342720, -21459653760, -55579242464, 13411547136, -85751375268, 22931410432, -44412725520, 9393874944, -20766068756, -34838817984, -38456914560, -4626317312, -3375634500, 106162729728, -45217305896, -29444428800, 41710660152, -89838819456, 11371779216, -2200117248, 59208373340, -29769583968, -13315940544, 16081732608, -43315222176, -30913980288, -9831005632, 7191134208, -39717511482, 12818315584, -8574002280, 63741159168, -29876400328, -22124454912, -117128016048, -2847814656, -15340234032, -1324023360, 77073291840, 0, 3482457048, -5467859072, 32625665784, -9451487232, -54951314388, 63627990912, 54265245456, 1656497920, -28962957132, -38089737792, 142684939200, 3798835200, -68355224088, -11708604352, -8251773264, -1006682112, 35270396800, -30526367616, -44115553776, 15853420544, 18170753328, -9694530048, 3979342496, -25876385280, 43696882764, 890288448, -31598300880, 16913756160]