# Trace form for 315.10.i, downloaded from the LMFDB on 13 January 2025.
[0, 432, 64, 292, -55296, 0, -10460, 0, -61992, -84916, 0, 116112, -853176, 0, 0, 132500, -14155776, 1453272, -1922828, -1575720, 0, 19208, 2113344, 6716184, 3047824, -84375000, 30727568, -30526208, 0, 2821696, 12580000, 0, 20064256, -38240684, -7595532, -24010000, -49798964, 0, -31684672, 135110676, -29092500, 40797828, 0, -3141612, -483415872, -33820000, -20937096, 153226032, 251973736, -1245197016, 25000000, 191134864, -214046388, -416493680, 90468080, 0, 0, 1253265012, 427576644, 336492708, 135680000, 0, -307001592, -79559536, 5972898096, 308690000, 1884657452, 457995924, -348774980, -906644040, 0, 45623504, -3414216868, 1014053256, 516497596, 114062500, 771709788, 562448656, 3797143680, -204676524, -2140780000, -388973012, 1565026488, 3101651104, -1437344244, 255015000, -364899336, 5578186872, 1623048192, 307045120, -691520000, -859346712, 2021062616, 576622752, -3583917900, 2655690000, -4780095052, -295426116, -737894528, 944973280, 43200000000, 1101359296, 5026285268, 0, -9681642048, 0, -2081735532, -4790271896, 24581424548, 552920688, 0, -450885800, 0, -13933207448, 21089619136, 0, 14050885952, 17015337240, -5391605376, -918689828, 874495000, -57598772220, -33439386604, 27036500584, -5798934072, 0, -56327460, 0, 1593286628, -23547292556, 0, -16490106704, 54291590504, 0, 34934330528, -6712300000, 17567428608, 26962019140, -7782026092, 2456578476, 7683200000, 7878541472, 28705551876, 21963339568, 2428895372, 0, -126495220, -3366643784, -6773263632, 3234399084, 3039062500, -16617680388, 209773706208, 34939581660, 47432619360, 18470420000, 54973505364, 0, -18291388388, -65900217424, -14895360000, -15211199360, 48959322424, -77613936912, 9758681848, -12175532500, -8454368412, 12541400192, 56575953896, -179502079320, -10692305000, -6343704084, 72344181024, 108218302832, 150931324068, 0, 47508360244, 17898598888, -69750336384, -61155644544, 53949000000, 0, 34792554860, 18163472624, 65890836396, -8722020000, 267098575204, -106250050404, -437828907672, -7914608380, 51869835000, 6783305888, 354542840048, 29552345532, -49774717512, -74920685000, -318770436096, -160255517440, -198224367388, -59883754032, 12107812500, -11722664104, 0, 54341813792, 431113233864, 0, 488616845776, 52172707288, -50981067576, 285318629788, 0, -69645001284, -313214238252, -482641783736, -42732211392, 0, -368444385712, 0, 191389975028, 173651646596, -5310630000, 77215850136, 839771053548, 141222905784, 106701304360, 65346875000, -280352352096, -201026830196, -88450732668, 0, 8756070000, -50302544264, 392456586672, 53965065096, 54979990368, -233934885000, -316290911056, -303563904168, 0, 221452334600, -152619965000, 79381663740, 135786255304, 330217569812, -296881315992, 0, -867626354248, -18004561416, -493101962096, 103092084640, 0, -204507485736, -81468964864, -124945278624, -720428649100, 149047500000, -418188977712, -166326718364, -428671583080, 0, -485964800000, 373740233724, -1470638916648, 422417980448, -1413887052400, 0, -287856130100, 224923605424, 351740869632, 263308395648, 160501977500, -760917486672, 36371754604, -189701242864, 159667952004, 45356250000, 2071606634812, 136222778592, 178718310256, 715994166336, 0, -584353289592, 447918162232, 868085966592, -1069656116492, -350692660000, -100437184656, -559733413120, 3107967310644, 3970116772920, 482079555000, -104109989528, 129536930700, 131418483088, 15449666680, -168246585000, 3564338835272, -541565536756, -588977739936, 186072264632, 166635937500, 0, -621776577856, -1231480912672, 917686713060, -755433320000, -1822481346792, 2210860368072, 431960567808, 892090622268, 223010077500, -359738514336, -1121600502752, 789812458668, 1642195106768, -235814215000, 780149587320, 546258270584, -1481543595920, -508218621084, 548039680000, 289954784684, 0, -2354960008520, 510117635912, 0, -724474392608, -1202245310288, -119609063424, -21472162208, -1065729832500, 769629800880, -3770385453128, 1671707865992, 2421270543816, 218448175000, 1370465839204, 1088645369868, 4037645936680, -275847908992, 390451117500, 2861711329360, -3156601624460, 0, -1531853180784, -216780400000, -2121661113156, 2536874964420, -4870859549264, -523791588096, 0, -3970817471900, -1716534755424, 2894398567676, 3780485522452, -140175090000, 61905081292, -922273771888, 1175327186580, -3489100641264, 694499622500, 4916596732344, -2527547137672, 3234950338112, 439985516544, 864085512500, 3919952644664, -21348394128, -10353704752640, 1164291299676, 2141535780000, -165853780960, -560641236088, -742714781328, 5641792660776, -103515625000, -2619129167136, 2908651884544, 1184213901752, -524684937096, 2129889747500, -209385583976, -324937836144, 1054241946032, -1109922971716, 257363190000, 13226456301296, -3978808498808, 352935733248, -1804956589336, -450217460000, 405823248576, 178685771796, -6652661910088, -187620441264, -911061390000, -11086203711488, 2259690750432, 4156958956288, 856053116240, -5529600000000, -936674632692, 8253264288600, -2507609482992, 7901394832056, 2760222700000, 0, -1580899706208, -9524482208472, -707053455540, 2896093102500, 6966988945596, 2699157459168, -2327502700880, 3754087231396, -154178370000, -3627096312596, 2584875464032, -1173276001440, -6586114396224, -1168656737500, 969107437080, 3193495833568, 8239727923688, 5122986448032, -283842187500, -5777208365652, -847575684648, -2003746871596, -2308586529616, 0, 14944452356600, 4907852738248, -5567931048312, -61784366364, -1723708885000, 1577231109540, -8425114723216, -8106827732548, 1557894076200, -6032617705000, -474858187972, 7352263926720, 7648658955676, -7574226541468, 0, -3236708912300, 7690454512144, -2706502356432, 19493577011496, 1379734375000, 9279054960696, 291068383916, -8274284128136, -4702585387212, 1714374025000, 10071597979512, -5274962630964, -30142484980368, -11984585499144, -7177529205000, -9241831528248, 1563384844644, -2055760163640, -1361491784772, 1403482660000, 11512658568168, 7103653699176, 16315694402764, 258001087680, 1951872400000, 1424547788788, 6991588189332, 2715639609068, -238508028540, 307757812500, 439999346304, -2252171052608, 5267438617968, 2014418630896, -3037293107500, -4950878494536, 6302370343664, 3084354449232, -28776084278832, 1837597700000, -398667676980, -5318412721920, -23459611921140, -11325307785304, 0, -3148189401624, 11948140476764, 256964777784, -12074329279216, 519219750000, 18938066171832, 3417107464176, -15992064397448, 2474416882008, 0, -2935161551864, -6616739296800, -3181495301056, -9573982025720, 2109743280000, 957267712020, 17850314622628, -13121133992712, -15999556365656, -4447579975000, -2007480076056, -48477106974952, -193832550880, -19511495359776, 6851144870000, -48618983044080, 4508708055696, 3524000483584, 23383207217460, 105999570000, 5400610588904, -18025539949020, 15980285780208, -6956930086800, 7503125000, 7453514301696, 6043514420272, -26136237491908, -14972507154216, -15796935000000, -3233632622164, 0, -4501583451744, 36282864874176, -3912989985000, 8600037189440, 23280273215376, -20458636492824, -1338725147424, 2307230545000, -21759853736736, -206789753592, -6033004268712, 3071571320628, 5652422320000, -5820271187752, -3735009972252, -51567031873304, -9568502677040, -1651050000000, -9225853322000, 18861550610992, 0, -9846355819328, 2795361750000, -15002213585400, -24089223421024, 59020154176500, 1605344151600, 4327178240000, -1068215585808, -26439559205040, 8210724774068, 13106783582636, -1652581170000, -12773567995576, -5112468354336, -35352400833216, 14258994757320, -5169015180000, 4771984695516, -3848558036824, 12204139515024, 2523419498880, -5247018750000, -7773823055716, 16569998847000, 35704080153356, -35572119945416, 0, 6783594232380, 33794608464784, 2962087327944, -2638691074336, -4443622160000, 892241886168, 15313346081732, 2459194928988, -12417600787776, 4273768097500, -9337727535952, -22305772291932, 112789279398240, 16034522350340, 0, 12310526587352, 30813296815768, -16489286103564, -9679855240044, -1437443750000, 3005869551948, -26600211438864, 988875846420, 73274290923168, -5821134360000, 53399908412496, 12400416154152, -58589210083392, -863037135436, 13207628947500, -22711420875952, 4181683804328, 10638995817888, -40311593426096, -7560339420000, -12142750556160, 2331392873844, 25275835376240, -5998295524932, -26001682550000, 65526556366192, -47947312369512, 19345686631936, -107381121961844, -32958984375000, -4531548436228, 34433488281396, 0, 72753473874336, -12495512295000, 32318281512936, 16156350466620, 15083053469840, 40752858201984, -13106204330000, 9490673627468, 0, 170686094172840, -9310594197584, 15252848640000, 1908632426172, -157219698951168, -15170582586780, 14159229071204, 3968959880000, -31921415978112, -28650996850480, -101493063870972, -76980160181736, -6001478125000, 13551962878608, 27631231829064, 11259106319528, 22458823072148, -5332445190000, 93425238940400, 78262988438340, 10570332256344, -17760652112092, -21122092802500, -1810902231648, 53729809893316, -6255410883488, 29947325865156, -9387021630000, 57366305164540, 31912014929328, 9256522303432, 62276160473116, -709842960000, 26673854120216, 4440806842332, -20133851775408, 14630063682808, -1450010937500, -5803406098632, -45131193108176, -37617215187612, -52445820924, -32671869220000, -56000430949400, 60748038822276, -32085453948968, 84521452371312, -21181862340000, 0, -71437262941288, 11174433189732, 11965383648176, 49082011767500, -18570374456256, 3784656915192, -20870991914304, 78377797944720, 17284512440000, 103606299339608, -60459538146012, -166056489691332, -95145759295388, 0, 57970058626224, -30957938638384, -40478195426832, 9856805821564, -17186981555000, 67474779627240, 17682717536736, 17303959398580, 8485204441536, -25670990535000, -9256531509464, 125624381564304, -62903027342816, 35850328586688, 3958312320000, 42224132307064, -53444937769976, 60705267302340, 112330039345120, -29234052750000, -7539415365888, -35737936585572, 42290229276412, 14083978400496, 1102225000000, 95862827836724, -14693556000816, -49109962108928, 43274959040960, 0, 126811280207284, 121300178504240, -36033085769832, -34583127148696, 763836132500, 75292024695480, -197588150778856, -220523655094916, 18778245956568, -56169256610000, 10643821792168, -16214098788720, -43984351336984, -115970558258116, 0, -99789836666776, 195287266694840, 116392231912536, 4185539293152, -2457031250000, -17313194022696, 194199434700892, -12403499880284, -31737701820276, 12627468740000, -42393794640932, -28811547359712, 27631142676232, 126555183082712, -13278677760000, 29388958099576, 169893433684740, -7767325316016, 134553193980376, -29289874527500, 43799624278632, 150731114440344, -74056986964896, -51272111345976, 11248973120000, -26296735141172, 69947168521104, -36559394361136, -11563816975060, 0, -68329499697636, 66237230576944, 33914646781812, 74411182228396, 113513552590000, -37027463633352, -11440843687416, -104177485446096, 163210463281152, -8097181107500, 184586260290840, -70210562669568, 18149112267908, -186806855305296, 21583706782500, -19339715018400, 71514842000376, -63850228600608, 33181236434160, 19307986915000, 15330241032192, 15302982791728, -5231763191816, -17565488433576, -15675200000000, 32263154380736, 38249453009952, -106984691094468, -10941272753412, 0, 43192462117896, 22799680443056, 75614334200532, 40457584191464, 19704895600000, 36931704498936, 81843666671928, -21440425202712, 13864427612568, 6590961290000, -362571853576428, 7915013485092, 387923022373256, 21730751319788, 0, 58007746507976, -191095420162724, 21746911548312, -170666267241004, -3734534375000, 0, -168585864035280, -378885012160992, 109532856548736, 41292264235000, -239571661003328, 23137413202116, -4188911939436, -180937798580008, -3098111422500, -276786496103336, -151930587367560, 263638747037232, -10432327413560, 24760378527500, -83972397074904, 286759149829908, 106622133857344, -70182476281908, 24545208340000, 96857099959416, 0, -245837650836720, 186013497162700, -2967004687500, 101452404970992, 367231521419148, 36075321529200, 36435409337600, -14398562850000, 131789723953320, -13939130036816, 254699197399684, -61275786961644, 36899612572500, -76594099757784, 21695555500416, -179035140634912, -259010594685684, 30729851280000, -56711434792164, -195464097415952, 0, -268212469404088, 152683248862500, 53889950540376, -599341741433280, 209818350310024, -104163866025192, 4689453125000, -319481131664036, -604340324568, -114137950376664, -141307124402564, -2719042560000, -40052345994816, -9277248130892, -268018619524056, -874893764680, -27828657620000, 117617724384048, 41069201078400, -346735381437476, 10469213027280, -106654183570000, -114517517006784, -118637703333936, -121001893908952, -276145314379124, -24319789785000, 49495955973520, 156487732733296, -152510906144340, 39826680258944, -19348559375000, -32368726075392, 103696893335884, 17409330514520, 67712946351840, 41890730485000, 134313556606036, 15479088838524, 595369496015248, 96127397441392, 0, -34656792464280, -309102210187772, 93599077156344, -96593145561596, 99382337765000, -72176896551924, -98740665813552, 354987456700536, -89507726687232, 52709236375000, 143903577625600, -154566058456116, -216666482453800, -98031115503524, 0, -402805506324840, 45419308140096, -581007534526512, -287585278384520, -94785078570000, 4541856115860, 94491370652200, -287789331130552, -138338246323440, -151287767560000, 777490258411888, -247787916189264, -19614568513792, -260695823477000, 70643543040000, -193566511665000, 593546367443008, 16900522673400, 875743101333640, -15667101240000, 274328822787840, 187335099363708, 382305250605760, 136800800454240, -12376825000000, -20481564461576, -54942682875444, 557409054098792, -30900040146108, -166180972680000, 149382497153012, -546131412983840, 19555488303552, -15596594914600, 309229089927500, -316784458369800, -363717563243336, -94749861509164, -137590017366456, -225222560000, 62274110607912, -14800245945696, -65845908359412, -424848247731460, 88649465310000, 203023927593504, -106154856633540, 0, -211452147577616, -70660204687500, 64657898605260, 166923845429420, -81677414075456, -154512827801352, 0, 40185180901196, 340166753432280, 14837883633976, 777651892584324, -41433934590000, -221363413997264, 113958978011200, 126999946572948, 408614328855632, 292049657417500, -460205839187280, 4127294532544, 437604841618680, -10326839451264, 83805783780000, -285617768291788, 187515146179296, -272825517302720, 31914842444944, 22728515625000]