# Trace form for 38.10.a.b, downloaded from the LMFDB on 23 April 2024. [0, 1, 16, 102, 256, -1581, 1632, -4865, 4096, -9279, -25296, -64189, 26112, -48516, -77840, -161262, 65536, 314477, -148464, 130321, -404736, -496230, -1027024, -51088, 417792, 546436, -776256, -2954124, -1245440, -1543218, -2580192, 153108, 1048576, -6547278, 5031632, 7691565, -2375424, 71578, 2085136, -4948632, -6475776, -24190606, -7939680, -2906529, -16432384, 14670099, -817408, 14687405, 6684672, -16685382, 8742976, 32076654, -12420096, 107478052, -47265984, 101482809, -19927040, 13292742, -24691488, 138112586, -41283072, -122366017, 2449728, 45142335, 16777216, 76703796, -104756448, 67296612, 80506112, -5210976, 123065040, 253992790, -38006784, 25518121, 1145248, 55736472, 33362176, 312279485, -79178112, -264202112, -103612416, -118682091, -387049696, -724058420, -127034880, -497188137, -46504464, -157408236, -262918144, -1075037068, 234721584, 236030340, -13078528, 15617016, 234998480, -206037501, 106954752, 1173230648, -266966112, 595609731, 139887616, -1202508938, 513226464, -1304186466, -198721536, 784539630, 1719648832, 328530622, -756255744, 1269122984, 1623724944, 7300956, -318832640, -603462370, 212683872, 80770128, -395063808, 450179964, 2209801376, -1529930605, -660529152, 1762280030, -1957856272, -2467441812, 39195648, 2223975309, 722277360, -919866566, 268435456, -296465958, 1227260736, 2133722721, -1676103168, -634011665, 1076745792, 4670470044, 1288097792, -4835128611, -83375616, -5898550189, 1969040640, 1498115310, 4063884640, 3114193524, -608108544, 2439827658, 408289936, -1701908964, 18323968, -1646632379, 891783552, -1216421450, 533794816, -2918032083, 4996471760, -242063748, -1266849792, -6685957074, -4227233792, 10962761304, -1657798656, 248543120, -1898913456, -10977338908, -6192795136, 10351246518, -11584934720, 2117676678, -2032558080, -8250697117, -7955010192, -1209248559, -744071424, 18411360126, -2518531776, -2658411140, -4206690304, 14087483772, -17200593088, -18202016938, 3755545344, 11124675666, 3776485440, -12481333734, -209256448, -113164818, 249872256, -20185964153, 3759975680, 14371813260, -3296600016, -22331023981, 1711276032, 4359803060, 18771690368, 7823787192, -4271457792, 24757662098, 9529755696, 25711379675, 2238201856, 6864254424, -19240143008, 7507755570, 8211623424, 38245348086, -20866983456, 474045552, -3179544576, -8365174669, 12552634080, -48765008930, 27514381312, 25907264580, 5256489952, 4595222349, -12100091904, -744870420, 20305967744, 2602848342, 25979599104, -15257166132, 116815296, -19921289682, -5101322240, -5070379644, -9655397920, 63095234620, 3402941952, -29803116491, 1292322048, 31852507470, -6321020928, 4490485995, 7202879424, -23220787305, 35356822016, -26948615424, -24478889680, -15589980321, -10568466432, 1027072078, 28196480480, 46040449410, -31325700352, 26379588942, -39479068992, -6322653636, 627130368, -73853958840, 35583604944, -85772606187, 11556437760, 3279287632, -14717865056, -50713189974, 4294967296, 24560340432, -4743455328, -348226970, 19636171776, 14319519822, 34139563536, -73092394167, -26817650688, -169922800212, -10144186640, -109653780936, 17227932672, 63100812592, 74727520704, -98888929552, 20609564672, 24075094680, -77362057776, -35075180404, -1334009856, -118609173683, -94376803024, -1420689132, 31504650240, 193960913222, 23969844960, 111144187843, 65022154240, -21015825102, 49827096384, 117687298190, -9729736704, -19692092968, 39037242528, 119669526096, 6532638976, 183473454148, -27230543424, -218355998466, 293183488, 189622265436, -26346118064, 2478585408, 14268536832, 14140263585, -19462743200, -122655911676, 8540717056, 193460672877, -46688513328, -104516438196, 79943548160, -133027019532, -3873019968, 251393818445, -20269596672, -65863470906, -106975313184, -71370031635, -67635740672, 305616755334, 175404180864, 99057620202, -26524778496, 33510123444, 3976689920, 40982957117, -30382615296, -26510888976, -175637422528, 129450544368, -99084722176, -71454225325, 165619944288, -14240389332, -185358955520, -664172262, 33882826848, -106395943572, -32520929280, 141523428896, -132011153872, -61553161740, -127280163072, -9827849412, -19347976944, 277494681485, -11905142784, 8238553056, 294581762016, -529147583371, -40296508416, 57649301329, -42534578240, 143322279984, -67307044864, 389168524842, 225399740352, -401562600990, -275209489408, -156052921710, -291232271008, 106143159855, 60088725504, 16983563041, 177994810656, 179752563060, 60423767040, -40344149301, -199701339744, -69583742872, -3348103168, 224464633074, -1810637088, -522880722980, 3997956096, -174159048628, -322975426448, 226845481518, 60159610880, 74870764488, 229949012160, 86487305822, -52745600256, -93826389732, -357296383696, 89381212756, 27380416512, -493713865785, 69756848960, 26969682591, 300347045888, -419755441169, 125180595072, -16066000976, -68343324672, 217639717542, 396122593568, 417703539072, 152476091136, -297494529831, 411382074800, -64669189830, 35811229696, -92795677116, 109828070784, -7428187728, -307842288128, 187636385871, 120124089120, -4594520242, 131385974784, -1051269872748, 611925569376, -493183118322, -333871735296, -671917730890, 7584728832, 1144736362020, -50872713216, -601652119278, -133842794704, -746397998556, 200842145280, -1026710676704, -780240142880, -136284430995, 440230100992, 171841553972, 414516233280, 595310672705, 84103839232, 317647739448, 73523557584, 601842178264, -193601470464, 380261435274, -11917926720, 248862421116, 324895483904, -6657839248, 41645573472, 552278168206, 415673585664, 154823659578, -244114658112, 1445991578301, 1869044736, 1699633604508, -318740634912, -167956502658, -81621155840, -428462219952, -81126074304, 1552770808534, -154486366720, -124074987900, 1009523753920, -373163967540, 54447071232, -1404847159429, -476849863856, -929004053148, 20677152768, 1377381139113, 509640119520, 1353012721617, -101136334848, -24690502296, 71847775920, 1135374084037, 115246070784, -327398017380, -371532596880, -681967621548, 565709152256, 186567189981, -431177846784, 71212085956, -391662234880, -997288844508, -249439685136, -1035139262700, -169095462912, -3472678248, 16433153248, 25351398240, 451143687680, -1854877654488, 736647190560, -1778962974958, -501211205632, -1119688568616, 422073423072, -2224247273892, -631665103872, -485306566986, -101162458176, -941658984711, 10034085888, -1235674923350, -1181663341440, 1972995562037, 569337679104, 216003021156, -1372361698992, 1019033874764, 184903004160, 1901166630978, 52468602112, -841571105934, -235485840896, 888315332272, -811411039584, -124145658665, 68719476736, -384984393804, 392965446912, 2061918802746, -75895285248, -942769839545, -5571631520, 1877958732852, 314178748416, 1586304146504, 229112317152, 149700596806, 546233016576, -271157936280, -1169478306672, 48148944516, -429082411008, -1798542677719, -2718764803392, -1281546685494, -162306986240, 1173631440696, -1754460494976, -519406913382, 275646922752, -1856605727676, 1009613001472, 1071017985198, 1195640331264, 3193622580551, -1582222872832, 1134716917932, 329753034752, -2006483437704, 385201514880, -419271949180, -1237792924416, 1135434271743, -561202886464, -201113712978, -21344157696, 1285343274880, -1897746778928, -11542811436, -1510028848384, 3222315738677, -22731026112, 141013160964, 504074403840, -2058968343606, 3103374611552, 3542473786590, 383517519360, 954074006970, 1778307005488, 577388372715, 1040354467840, 1059513764424, -336253201632, 1878835946876, 797233542144, -2277764446062, 1882996771040, -27916322368, -155675787264, 1102451829403, -315073487488, 444699912120, 624595880448, 3522544213300, 1914712417536, -6898908679828, 104522223616, -711734523084, 2935575266368, -5100263698147, -435688694784, 19953187668, -3493695975456, 2525281533996, 4690935808, -2731278483610, 3033956246976, 2418820286505, -421537889024, 2622560726850, 39657366528, 210529211284, 228296589312, 3314263390362, 226244217360, -624445262748, -311403891200, -2786164727430, -1962494586816, -3758968575136, 136651472896, 765791068140, 3095370766032, -712574140980, -747016213248, -4359888473875, -1672263011136, 3901025504772, 1279096770560, 310181998809, -2128432312512, 558230649916, -61968319488, 150920286912, 4022301095120, 5230055335820, -324313546752, -4583362776029, -1053815534496, -853247816238, -1711605010944, 22509634706, -1141920506160, -3129502729237, -1082171850752, -4974030910860, 4889868085344, 1454309040846, 2806466893824, 809507993112, 1584921923232, -2356799098410, -424396455936, 1742338019408, 536161975104, -2164617652829, 63627038720, 468712679598, 655727313872, -8452744847541, -486121844736, -8865308782754, -424174223616, -75976782840, -2810198760448, 1942872872169, 2071208709888, -3373415621901, -1585355554816, -236782644759, -1143267605200, -1784789993422, 2649919108608, 6085887530080, -227846229312, -1556230945464, -2965743288320, 1002372442365, -10626756192, 78839921184, 542125229568, -2031971547564, -1702335097152, 7854552265213, -520334868480, 4241602108886, 2264374862336, -1614239702064, -2112178461952, -2619783206514, -984850587840, -5707767102520, -2036482609152, 6435713931240, -157245590592, -4813123745484, -309567631104, 7644338333991, 4439914903760, -3039917882082, -190482284544, -5214405170832, 131816848896, 5441265499873, 4713308192256, -2897641341315, -8466361333936, 9325607848809, -644744134656, -7607389203062, 922388821264, 458029571490, -680553251840, 9701242334294, 2293156479744, 9328116538, -1076912717824, -2368520305110, 6226696397472, 5850205983370, 3606395845632, 10808823732122, -6425001615840, 2451531397248, -4403351830528, -7821981504, -2496846747360, -4923539961444, -4659716336128, -1590177992742, 1698290557680, -12825876739057, 961419608064, 6344867157090, 271737008656, 104761351956, 2847916970496, -843269871048, 2876041008960, -8264279787187, 966780272640, 7032145436973, -645506388816, -914036520333, -3195221435904, 9233049073306, -1113339885952, 2690718072084, -53569650688, -4319702227668, 3591434129184, 4263799314475, -28970193408, -644910670872, -8366091567680, -5503575407808, 63967297536, 2603325791199, -2786544778048, 6718538079180, -5167606823168, -1598301476030, 3629527704288, 10099548784144, 962553774080, -8748805831074, 1197932231808, 1923162312450, 3679184194560, 12640106171159, 1383796893152, 334487338464, -843929604096, 12501629731201, -1501222235712, -6174283317160, -5716742139136, 4613408723223, 1430099404096, -6700670222376, 438086664192, -6066948566217, -7899421852560, 2505154724064, 1116109583360, 13655134797114, 431514921456, 83663723088, 4805552734208, -35519150940, -6716087058704, -3152543964526, 2002889521152, -16303543197310, -257056015616, 4558857331032, -1093493194752, 10570498133994, 3482235480672, -483992694404, 6337961497088, -7455424205034, 6683256625152, 2935844430050, 2439617458176, 5936709680772, -4759912477296, -17332125621624, 6582113196800, 12748750729516, -1034707037280, 4618851062185, 572979675136, 9975268953972, -1484730833856, -1637982668869, 1757249132544, -392946672720, -118851003648, 6436282884384, -4925476610048, -16223914179225, 3002182173936, 164957596912, 1921985425920, -10086670814304, -73512323872, 17355172813548, 2102175596544, -378781765809, -16820317963968, -2190125524860, 9790809110016, -6604292360607, -7890929893152, -16559896757393, -5341947764736, -3577668401208, -10750683694240, -8024036358588, 121355661312, -21901301399680, 18315781792320, -12098135715666, -813963411456, -5247168875214, -9626433908448, -3348046827918, -2141484715264, -452300017392, -11942367976896, -3116936116734, 3213474324480, -12125624180345, -16427370827264, 19784013148644, -12483842286080, 13044352141977, -2180550895920, -8573492345950, 7043681615872, 11336707159986, 2749464863552, -3656776864, 6632259732480, -5540346367158, 9524970763280, 1911821971779, 1345661427712, -6975472256670, 5082363831168, -419925578273, 1176376921344, 12004104415380, 9629474852224, -14265006029894, -3097623527424, -29108360359206, 6084182964384, -2008593482736, -190686827520, 16958869367168, 3981798737856, -3264962427792, 5198327742464, -10886407182792, -106525427968, -10819639878285, 666329175552, 1637141105738, 8836450691296, 18714292323096, 6650777370624, -420162685995, 2477178553248, -28854037119825, -3905834529792, -22272311843532, 23135865252816, 8998269764082, 29904715776, 4475150843590, 27194137672128, 7618084739199, -5099850158592, 1914077307005, -2687304042528, 28777388778978, -1305938493440, 252815711616, -6855395519232, -236279021544, -1298017188864, 33799375358804, 24844332936544, 1442306885670, -2471781867520, -17588112227946, -1985199806400, -25770916920656, 16152380062720, 11158080435702, -5970623480640, -1300969425702, 871153139712, 46476585921380, -22477554550864, 19732988633454, -7629597821696, -10380561037665, -14864064850368, -22221501412940, 330834444288, -10660676695992, 22038098225808, -12322714199640, 8154241912320, 39112796008, 21648203545872, 12101546218014, -1618181357568, 30253864159902, -395048036736, -2174455667622, 1149564414720, 25642169481390, 18165985344592, 31914009325893, 1843937132544, -31015334606263, -5238368278080, -6718074032412, -5944521550080, 32418497564894, -10911481944768, 1235849679328, 9051346436096, -22721836764060, 2985075039696, -20765939210404, -6898845548544, -1238037158436, 1139393375296, 31172909044068, -6266595758080, -34669211511624, -15956621512128, 35305348913961, -3991034962176, 10103877260604, -16562228203200, 23522900692515, -2705527406592, -26416180101007, -55562851968, -3048435641538, 262930451968, -6892848637860, 405622371840, -44570246535144, 7218299002880, 4180261625934, -29678042471808, 46161515076348, 11786355048960, 28696446669485, -28463407599328, -2704110675552, -8019379290112, -12759632375472, -17915017097856, 69005554357852, 6753174769152, -11776192168536, -35587956382272, -24992450872932, -10106641661952, -39141863776938, -7764905071776, -7288330983150, -1618599330816, 148488753552, -15066543755376, 7397639816710, 160545374208, -1452519711864, -19770798773600, -40649691266175, -18906613463040, -54408399719695, 31567928992592, -211450287672, 9109402865664]