# Trace form for 13.12.e.a, downloaded from the LMFDB on 10 September 2025.
[0, 22, -3, 242, 8191, 0, 45528, 128496, 0, -322217, -572989, 941556, -954740, -1999101, -4389420, -1912146, -2217465, 1266933, 0, -26218578, 73151169, 0, 1338614, -47071890, 176666646, -102279200, 86807799, -316653808, -127105884, 113029131, -161927730, 0, 750398445, 588949482, 0, -300427704, -173622325, -570835935, 925613832, 2656614142, -4665525182, -3125495451, 312136374, -687379108, 0, 291815697, 1973786088, 0, -4495108546, -2113923323, 10799589288, 18922873548, 5816536466, -11409380982, -7220008734, 2659826936, -5191105920, 0, -17750605839, 12280821000, 0, -388343883, -4489966530, 12000810648, -27417445590, -7047855789, 29852276436, -24954230718, 18618567747, -17332878054, 0, 7855228734, -2312207943, 0, 14656656585, 34533247192, -91364144550, 1417426884, 51502665942, -15237937464, 187084997403, -66245225351, 38170027049, 0, -221463259788, -144387435243, 0, 133939610130, 191677651072, -22557105234, -28770934134, -26918267220, -31256021460, 169636911984, 114241933898, -72874928466, 0, -318460072098, -223225841301, 0, 86730573842, 78293005305, 172981885140, 702137409020, 210037182771, -462521449488, 646201482075, 144846931662, -1083963285296, 0, -1752656427720, -340044174822, 0, 162199916745, 92293870530, 605109451758, 529253876358, 1897640596826, -1907715775540, 657255852216, 1367942928414, -1327828330247, 0, -1941569487858, 826784255406, 0, 952447189740, 366640751538, 1776087504471, 1234285202740, 4715089831595, -4578483785580, 1841051942796, 1155171111390, -2889638860404, 0, -8615048959923, -2637948501117, 0, 437146593872, 2845325572152, 1755287043264, 6638909786672, 4067408971080, -10623628032926, 4097714079813, 2239561513173, -5038616412094, 0, -10493642514015, -3531478949358, 0, 6504797852742, 6067348377243, 1287092999418, 5459570862636, 10459410552422, -4930602884266, 12791438276172, 5647682961102, -13822227141069, 0, -31309198438857, -4394733932904, 0, 5996080835544, 6275669841140, -1556186377896, 13088685606672, 10786730105671, -9981476343774, 19510664523894, 3717954206900, -10424287503492, 0, -34740783715176, -14113416443304, 0, 4921141031750, 12900385872060, 12620491902327, 7837170442022, 26596913284500, -18138068279740, 28331203597446, 8521345446603, -31318443991272, 0, -53433246318678, -7142013009294, 0, 14996078135166, 21329756072086, 9272006490117, 25385477418396, 31959876305682, -56443964337722, 11907632823726, 26085533131500, -21780112900974, 0, -73636628680194, -22814093096565, 0, 21564672015642, 3529328449379, 20404991720154, 32675438874036, 70589394539495, -65252698820340, 33874801021872, 20763156209250, -46432878479577, 0, -90262397475276, -6919468060152, 0, 12820446360444, 28228415052000, 23330338876122, 77631706885776, 30889649673168, -90738203114592, 46736753578734, 24831277485336, -63213041176750, 0, -43380809234130, -7395467881464, 0, 9159914393502, 8671357445616, 12131266741365, 44251321293156, 84434304849375, -20721572267452, 49746429946536, 5640647817440, -39620344103886, 0, -127829039103606, 3470232733731, 0, 20519946126530, 9435300378967, 166493452209, -62232965580336, 44140648597032, -87858323069460, 15662117375748, 15883337029045, -29986239062442, 0, -34569524335434, -4680527139636, 0, -6799992584593, 24919925896191, 47318166059910, -30682870890552, -74787876841548, 115098450260406, 30905807773950, -9522172842132, 49868848625784, 0, 58192656567750, -86501194554780, 0, 17958791704704, 19410342970980, -48361915401972, 92817095933082, -77867777576160, 125463913967870, -50105665227684, -23756899105104, 90872917604477, 0, 146751722894214, -3288365353272, 0, 356329211688, -56343717157128, -121011398315922, -123844778405928, -181260065769562, 108356515322592, -155669389182837, -45635822641016, 194556828126945, 0, 291915362467095, 70998489242043, 0, -121397109062212, -138623600765013, -163965470009718, -338314663223998, -167400487600710, 452477265814208, -134319562523898, -167140046126250, 194248162818558, 0, 434986432511817, 232067015157645, 0, -66789024229452, -33278579635100, 78137499652002, 21671612211156, -357946796908662, 271174674631212, -379192582819995, -108782036586888, 183044364969892, 0, 730444573994742, 38848966991904, 0, -265856989731906, -157500810220650, -176291819906310, -437533266622486, -318889077379366, 133384707197244, -202851434014512, -358358718791909, 248200302275028, 0, 849377914743564, 709271965608624, 0, -376187020412386, -427722890303082, -37385784632928, -279283070790846, -522623813409126, 343777686943740, -844051075338933, -67019428151676, 809521196910450, 0, 1419078615597888, 92073555862092, 0, 85935320840994, -477077529312786, 44223209691678, -408233302222284, -395152551013844, 916043998832592, -906119157376401, -168057011820930, 582495280862978, 0, 1154531971304874, -81312575446410, 0, -534547149983913, -147792601695971, -87590611865715, -352141894727300, -631159291190220, 511544422867710, -552616457706060, 224795935365878, 493484527794606, 0, 1257728313582141, 365430876133968, 0, -58149051838941, -572327454399534, -954579157830654, -569990125551932, -1179496127750577, 984238976251740, -274569243154950, -978158018192274, 390292736151314, 0, 812392537881180, -217111357501998, 0, -358732226817087, -329828760234160, 475311709510176, -69500709617922, -558144972397428, 1036541285220228, 618790524709641, -27725063050116, 848805975739562, 0, 598058831212320, -516217874402802, 0, -68075765372040, 804624552173158, -1092352152026541, -1859986137302868, -136728246509166, 351799469177514, -219747095125221, -498457755613086, -483614870310288, 0, 619575127275369, 2039607468655605, 0, 187474524582242, -120384497273946, 1118321179125354, 9506883845072, -1161763636772700, 1564623262341268, 785044974122970, -104208905760318, 273852234531696, 0, -1810819239769464, -1127390347941246, 0, 1051176893783100, 680675151478146, -1149216775713924, 1370467730446884, 1424625749103102, -2299331102165744, 438581481045612, 99640289639732, -973166266511157, 0, -626989417795962, -1974916026915744, 0, -364434561970374, -217592134254772, -162342143646408, 2024094752463574, 1635601150931787, -795739092804072, 682221333907194, 1528868647826300, -614405361244836, 0, -3980264512513560, 671474787588126, 0, -221370758940652, 669425361249591, 337094904073776, 841452678510056, 1606206835273872, -5034946985702664, -518143160726535, 1066009639680408, -2206340763686088, 0, -1103916423995655, 205467034194558, 0, 1865183841813669, 1138713020319636, 4708965128230926, 2259894163836744, 5322089991269467, -2887914164525724, 1626710152389174, 2217799413848194, -2212156404089948, 0, -8653781488137888, -1777430793028800, 0, 821063732023959, 1616031983417312, -1120757239576806, 2572927142822964, 3291000441070719, -5364534017021586, 1794718384533180, 760746008249441, -4351294431990996, 0, -4891422728934828, 2032140939460617, 0, 97307592919781, -458725872497376, 4754098847295402, 2569027661277882, 2725285382912274, -1924037184743664, 5237366470523202, 2169540683971242, -3679690123778820, 0, -9659183888237673, -5736573263391426, 0, 2568354444725412, 3721458626453256, -2356406050952469, 2023365937582356, 3883076667626936, -4038562172436284, 3564087293454771, -1796569708056570, -4177145717331120, 0, -2849466201755346, 2599366083757689, 0, 188238076424156, 1058194510638044, 6941731064158350, 6388675964621928, 6872009264021083, -3555520421890494, 9723385578919077, 5164802715986420, -4626799539483666, 0, -14348049303441246, -4720094466164802, 0, 3265015962501187, 5242674109057407, -6867599850868092, -1289532918427656, 599328481521315, -12089157806523492, 1782838806912402, -912166716519090, -3976464212381694, 0, -3079421292797616, -4247810453150340, 0, 4333149135745578, 333539870601154, 3250700460132111, 7056521429345952, 2284011383250246, 5946767163168212, 1807086786029523, 6690452690376127, 2153925840988422, 0, -12077689424017716, -7386276378164520, 0, 2366952472828038, 2874992325458864, -11718216488685657, -6129166909389828, 2556600945939456, -3391882712562288, 4267128209455890, -5872250543456641, -2571241692852996, 0, 2969766726015345, 3474457434655122, 0, -102475256406902, -1921376525518416, 15975668147960700, 9621271096206192, 2744361951379464, 4846567723797972, 4402471035278166, 4684502774332500, 629014756946435, 0, -6312200499886632, -906604194288474, 0, 2596279024344468, 6015146021963982, -10062946001127672, -8239878727431954, -3025004959060188, -7967283672721306, -4071349982172960, -5042031460069190, -1436740570341384, 0, 13324234054979352, 7037737498067793, 0, -6000052053899022, -3619087511792088, 18398473629786513, -5432931732121756, -2910309616852170, 3159335680691532, -4929918627942300, 5375658166561473, 7747041046687410, 0, 787707171461094, -6611083802395221, 0, -238510902280510, -6643266187250106, -19207022886641358, -10059249863696918, -1600696605629706, 9900837762194514, -13920400607635971, -11304316885732374, -4419594783839754, 0, 17074261548553407, 21867303993989340, 0, -11973324398203638, -9336009643347846, 13831897958242110, 8080875484728192, -7966398854302148, 18662767752520686, 920987913428394, 5130677451765252, 12273110672745137, 0, 5387594127194520, -2068295040259380, 0, 1770869719587662, -1468925380875415, -21232611526839870, -1510735445947308, -7682279607542163, -10136768161076484, -25476715459847310, -10467654162777385, 792228162192081, 0, 28778737822825860, 7277698485348084, 0, -17938730957595888, -5622280030820034, 15727341380495667, 10233703781069564, -16214745387169524, 32217740161446768, -13162254319928520, 9491021015667192, 28966010061700944, 0, 37865379162129249, -6796037829204849, 0, 4153393167396312, -7592587002366864, -29588225870461911, -31217754851569356, -17720512933204146, -10473491977363856, -12797309738722248, -33864153037828533, 6098164203617382, 0, 56941763310312618, 35478042290324754, 0, -8907760405593072, -16705701051067699, 37099296624862383, -5600059681361720, -34669799151963209, 32673504288938028, -18558843367649796, 4698378750759288, 37488935622717387, 0, 13469642736353892, -29663817698343714, 0, 3488372805839159, 2364964515077034, -53441557319616432, -40995457835244816, -3379172597337069, 12484033636377960, -15854263108548732, -14604455920400298, 9003594609545436, 0, 51754057568181132, 34602938810877150, 0, -23552124990497406, -10184706460701852, 11977312244244588, -5632155485229732, -25892842971156486, 54663868205144052, -7225782927793896, 4776940963948380, 29131442775249107, 0, 17622958914644460, -6667931248362375, 0, 1389659636687332, 5149764569487628, -43112656837661976, -44602870446387396, -31091576270299480, 29955396581897880, -13681301230919916, -38671536303163600, 1856098044022680, 0, 50889950665607040, 10854665344725771, 0, 1184201880111401, -24031729694989116, 44683839627494874, 872400633710928, -20292948494217672, 47767374604603966, 8246733049917585, 23367205366151820, 25714710108500338, 0, -14043806060296440, -16844222193454434, 0, -8710294001072166, -2238394396241373, -43550875276963080, -59840360462844294, -27451834037504292, 3240400981922424, -4320570902622540, -26678368681993884, -16042671420299587, 0, 54823804825849416, 35438103592092324, 0, -14501475235295166, -18406749040427584, 22258415952503046, 38495107609650060, -17783988980899362, 29740281911374428, -16034678338747596, 18642625770464316, 38806706927443884, 0, 16108456817064858, -56295024722355522, 0, 14342937325509216, 1409364047822202, -75373789131940869, 16594280453933756, 9581077758539352, -30178267011263932, -29674442825690394, -31907497950183072, -23506021279656258, 0, 22219751288002242, 52682219705629284, 0, -10102901770568100, -9562751066145282, 114144166736009937, 46663094665682124, 33393586117987446, 21140884440945524, 49604737105807812, 57968378850273132, -589817404049679, 0, -113714243862102324, -23998879828556202, 0, 22492036894168902, 42010358013345076, -25929492049530792, 712082161615344, -1983822883685812, -94536210936093324, -16489344176709354, -29690742992125682, -45841442689144056, 0, -1636775530304142, -15248597896045134, 0, -16670551232481817, -7220906164181424, 48230594729355576, 59416239394955856, 63629722582818990, -45898437562166136, -14135909644247397, 50955404776956657, -17372200453329, 0, -68385182398004268, 14898031867668942, 0, 22452002589513948, 29804209620875382, -86813167411714494, -71948458962923046, 30041911646506032, -153540651358636806, 40306069861405854, -47716177082157660, -42180496717765540, 0, -425477911867950, 26970228872224806, 0, -1483308445883682, 2682822280587069, 151190436725610552, 79999619707771780, 99951308770992055, 15739642820583246, 41521019114377014, 56423466844578368, -55822376306178300, 0, -155290357900912344, -91023142673230842, 0, 16277539932321052, 26556990794790477, -71876683851772194, 63663677682276076, 93134702201067657, -102143577505191852, -4945068126860472, 39453722706366171, -50837975307564094, 0, -22507962116684706, 66056828909661456, 0, 15527831113193034, 9262529951611518, 51483146651909850, 20267994791752326, 61178639875413996, -4686758816910924, 199567149870897240, 54398384802519138, -50522543342837686, 0, -268695759162591540, -30424377298197594, 0, 56315885005281824, 65146128231399720, -63340280053845720, 8483805638022924, 29961488753667978, -35442505050027072, -341141931415200, -18486314374173054, -109886668511703096, 0, -76892699767709001, -44654766554613342, 0, 43819635849410104, -6373935261102345, 175465927054892517, 101378962981455060, -30359471864204301, 4040605505781696, 20928735673515396, 41928931751944692, -53943381503860482, 0, -214446896012733588, -118517465184751380, 0, 59572346756578296, 115736059199847456, -133718343694654080, 13360032111935184, 82593078458247786, -111755262697597924, 118655137968387030, 10430867230959334, -38846500487542161, 0, -110936246646398232, 312238370491401, 0, 21732333793886904, 26199402800191608, 128437593870660810, 189070106477437242, 101786127705824328, -61545787493707056, 129288450473447580, 75944302131840428, -26281516629232707, 0, -250475841309382056, -113484178040845968, 0, 39129928926770826, 18559582485981582, -122714744861254560, -51917444551481278, 66638867705874828, -99417370564205064, 14370355307005500, -4606000983149652, -113346536359329454, 0, -5650326450575667, -600133245966036, 0, -8359703120628390, 50464860649241004, 139650947826422508, -31104580951369584, 29112215498490852, 67738220148253950, 190053131656823298, 55377631966491068, 2735343780891198, 0, -108101669372002014, -47778041374675422, 0, 30896827792806120, 90479027672817106, -47679549464351490, 107825464801834192, 16458348240731709, -260530313051375076, -50015856319832814, -87187988655994704, -47336052398944500, 0, -22361653283938950, -34630745729468292, 0, -17435218764999448, -85219296691715832, 9042139815365886, 34292313963170242, 94357760802703008, 37518482550810684, 12083371474855875, 70774592907701739, 17295893042160798, 0, -15043535948982765, -83413177686352350, 0, 116045876269665318, 41267154441528418, -51652866492695346, -80271382591515684, 54682190007142100, 27620457916453714, 30072810089442897, -66908072738377002, 9987188514106724, 0, 50689735177353312, 264943050165213690, 0, -75447176038979778, -24776127160047304, 21388684281009471, 674751230118624, 12927708473035278, -71179759268927892, -140821647889780440, 79329020892905246, -58138774584024654, 0, 6545820686687454, 36032749487466726, 0, -109414380111444739, -169733712457022226, 101570714363584020, -20881906518514258]