# Trace form for 43.8.a.a, downloaded from the LMFDB on 24 April 2024. [0, 11, -24, -68, 602, -752, -681, -12, -3810, 2721, -1333, 1333, 5089, -17967, -22352, -49504, -34406, -63095, -165931, -54524, -280995, -139788, -289358, -138139, -429583, 3455, -132946, -240356, -12704, -308658, 421284, -209523, -644934, 96814, 762435, -578892, 426161, -298472, -369707, 292298, 2633173, -1346735, 1173266, 874577, 3134292, 1893784, 3588111, 499284, 5647533, 2544563, 3049745, 1258424, 983088, -2210495, 6789698, -1855072, -469976, -1238444, 4397067, -5824216, -2889372, -4453034, 1002789, -6240564, 4757538, -2162872, -258940, -6859513, -9397005, -10040030, 845078, -10726554, 1199517, -4456898, 1046637, -3349114, 5861267, -17019816, 1999122, -15541320, -15680911, -12976697, 20233655, -11146767, 12348278, -12471976, -1908168, -18648900, -24463544, -13531356, 20858990, -19746448, -26023161, -21903110, 20288857, -12291624, -13954503, -10999901, 29909168, 29396057, 51315105, -2383491, 45369931, -2546317, 56187284, 6040420, 64791016, -20837172, 9060910, 49682197, 85234340, -6899464, 60481160, -28269416, 48961848, 72375882, -8305911, -8675775, 2194096, 31393068, 112663532, 13858774, -43102176, 24585698, 7650201, -76505580, 44707514, 43228779, -93025326, -5406476, 18840698, 1252046, 66533432, -5109760, 7179990, -8863032, 27764399, -77844870, 39884354, -24166203, -213092430, -87652804, -24806620, -119232181, -45409795, -19869876, -240019752, -6314892, 7048139, -127539276, -156219226, 166627176, -234537581, -124313543, -107401528, -44038092, -180203102, -160466674, -123213707, 98281442, 279190789, -188228564, 85514060, 96918448, -470176473, -103447596, -51719592, -114377595, -87625754, 243065160, -331664308, 295929266, 47863214, -315421254, 225664551, 548990384, 225548588, 302962056, -222480594, 111262962, 76936098, 117254870, -431434248, 389261780, 449499915, 4400244, 398973763, 9013501, -290612889, 384295580, 291305887, 122241820, 466349189, 466024327, 32889289, 717059380, 20088754, -145676322, -220475946, 234256402, -602168899, 475201254, -299750636, 147275136, -212106595, 436447276, 148345725, 372733069, -316662808, 292837698, 215996972, 225356220, -212363226, 258794576, 273717748, -59789264, 246004390, -135868624, -322468566, 590202536, -597292604, -409754755, 126588649, 334574300, -941536056, -600179331, -196000242, -462073422, 256082952, -278165097, -1323514647, 1060082304, 100735569, -570457958, 399304092, 741401928, -197888496, -318812556, 200520838, -38172888, -1247206924, -476757192, -1339021654, -687544850, -185166804, -908717616, 794636574, -847042050, 434452101, -243269654, -369763172, -125605989, -428812394, -1039872921, -713900693, 510549480, 1327797666, -828987336, -54144267, -805159024, 806800350, -189241878, -315921767, 171171362, -1736366200, -533577772, 341628434, 1059369600, -307621636, -2004078351, 53753575, 526258029, -612018505, -1347379640, 740125022, -317276401, -249056886, 770513156, 801615306, 562319717, 1697019042, 370058187, 1128001093, -297108901, -245408880, -1254618412, 2788897186, 557403680, 1520261481, -696175894, -201244794, 2247954742, 1184955044, -817054474, 845078107, 1335349368, 2082995763, -2552003896, 2650148083, 341341875, 1943883902, -954084, -585379656, 1365070502, 2105508911, 258365380, 1897260643, 564571259, 2319348240, -2514057954, 213391574, -332654115, 2406916562, -971058946, 1802061069, 1081405588, -1816641141, -1945528037, -1301814754, 585928602, -302339287, 1190256664, 530592762, -41211882, -1467782746, -3780294705, 2687217267, -1144738966, 1607189915, -2650896576, 3000153900, 2382043666, -448071018, -498392756, -259417718, -345269324, 2288328094, -2427141619, 1552132210, -752742984, 1895944004, -695809485, -2738409470, 445941336, -302921670, -1600876182, 872283174, 1834179174, -4471843647, -2959733430, 2480930670, 4251823608, -3231341924, -1306653969, -4564542582, 65302744, 3934881618, -3968791600, -2497542033, -869908455, 1980399426, -2933208319, -442998278, -238939466, -4704462960, -2304936432, -2488509022, 797137880, -3037374797, -6042517669, -3498861890, 2856463400, -6468779519, -2687157684, 3427942550, 2984672872, 2796214703, -2001861822, -5119731032, -1354258983, -1144794039, -2471475282, -3477869750, 899204292, -5328279343, -1869351864, -944894919, 216338547, -5665575615, -1229139246, -5144924132, 1072532937, 1908135350, -736732454, 1695531900, 8295194878, 4790521240, -2191835738, -958289902, 6028412444, 3405204781, 500367249, -5550384358, 6689614175, 2445124290, 1249363236, 4852778850, 5418727392, 2826329973, -1635648644, 699090489, 6888267252, -6163245475, -2491837184, -3318477134, 7957744120, 11695785240, 6979552522, -6045438888, 8073407036, -65589940, 713067302, 12573607717, 6300860764, -2817146006, 5914028981, 3376870694, -3868982744, 4106042964, -2665332366, -105982831, 8840966801, -3728153706, -621716564, 682354290, 5643392346, 8646308716, 1262744494, -5622859046, 2738618755, 12768853532, -449734479, -8683264248, 4081277396, -7432963305, -3238123920, 13751340004, -1808537248, 237763896, 2272133730, -1968406382, -857331599, -7750420494, -6686775596, -5101817709, 10953713168, -11596799504, 539232918, 8325596670, 2592173274, 10265449827, 2095083694, -15297814624, -3097450832, -10532007843, 9578758666, 6695596370, -2476014432, -3529074286, 716660056, -8186614386, 1857224436, -16502145808, 105982831, -4794684634, 4275793740, 11546825754, -15665157151, -14615042785, 6260454775, 16965019228, 4170775536, 979619298, -1671404700, -3569751086, 6215569348, 5876926806, -7580657780, -3439435668, 7114258292, -21442850897, 697101864, -16542222866, -562402422, 7500224298, -6344163680, -14369971315, -13319591528, -10396727856, -2753230346, -2517694860, 9565689310, -23958864560, 5982702738, -2113392642, -5149936024, 18070464390, -11330784970, 2399274919, -6475253685, -9223024867, 12045434888, -6798106302, -16722099882, -5813928696, -3696902850, 404611123, -7412822612, 3988130838, -100447032, -20681551082, -848107122, -1378266735, 2183588906, 491620371, 2499129588, -7546556772, -7480149375, 33595196624, 1510258376, -2047440396, -4396939756, 12193861982, -9174667119, -12430340970, 2763569204, 12624391944, -1779938216, 3528352722, -18070683075, -3071102871, 6647463183, -11912859477, 4053002420, 6014312459, -9585223428, 42534894388, 9028679773, 10459704366, 6432163790, -17408465362, 8776404084, 5940472802, 4661022812, 8195333909, 13864037934, 11178777100, -19033638561, -7904463085, -1428502269, 11649261210, 14346647906, 12751112527, -20604106589, -11565289917, 23514848176, 41934836740, -3280353632, 1122359096, 2508476513, 18861744403, 27588039724, -17914778952, -9657539120, -4252663982, -3502662729, 11275063869, 2891185116, 24072193271, -11315339482, 18142765002, -8262595280, -7636438562, -6125137501, -11389792620, -11590549320, 13850927610, -10790012498, -4411373603, 8771134050, 55438442886, 11009862540, 4262278175, -20869815124, 34331052300, -3563298508, 3048621693, 12225805008, 26238898512, -41118252811, -13699008362, 1952115172, -1777140464, -12521530973, 39077122416, 11970507380, -3333727334, -22451241360, -3418914069, 32462184660, 21018427378, -2452055364, -15230820629, 2375222638, -1419664808, 21697685896, -21716527352, -36766486269, 48217162830, -19621075724, 24275580930, 6220075376, 2817727022, -20130046128, -48769229662, 7762034335, 17777494218, -18202130520, -53316996457, -32112583308, 28204057824, -5607600366, 43327242235, 26095920174, -21801731646, -21255291492, -4652612314, 12539623097, -7408718844, 287078658, 42239047997, 22210985864, -58172087270, -13181734336, -50892376026, -3935914528, 21501173812, -11717482808, 50505121410, 5157013948, -30200875652, 17037405532, 9376224053, -3552354486, -8126058124, -5375551384, -41568767797, 19416764674, 12971246878, -62381083793, -70769384372, 31596505593, -55513387192, -21662423450, 2641301386, -15306749792, -17639646301, -25231832874, -3792788484, -19551998128, -49617330642, -38709855926, -41004566650, 7419806886, -35578353063, 37131149970, 65147795286, -63563944646, 44101231444, -31604309024, -8420825356, 23347562968, 12321172066, 5573870697, 15792015810, -27929588912, 26842018800, -60010294910, -2735517842, -6679535721, 9552835199, 23629483544, -47514638682, -17134668736, -6071812115, 10889346156, 52409897169, 54093863987, -58016138625, -27821251848, 61616706202, 19683367494, -58584844312, -4555799360, 80521252676, -20957364090, -9090724614, -8373190376, 28024792998, 31484719729, 7967999306, 9156690496, -87186394374, -18801734625, -41262783554, -5535740884, 19120039269, 47053651044, 66034716557, 11452152672, -52542034094, 99720685924, -43145370751, 44182673692, -30518402614, 22960250262, 14766443927, 15375750636, -8621571096, 45570740517, 17140218274, -5016494165, 15046512886, 50696941128, 53498137327, 7100659856, 1504043823, 11904462673, 114593863314, 1709168760, 15347696850, 14724045320, -48859777876, -1001940692, 52014526593, 18844022268, -24284532129, 51620852713, -68019275376, -9096054904, 15850296673, 27471810242, -40120295397, 23376101718, -65689961958, -87009337732, -10718021488, -22183413036, -8073803552, 8935780710, 49062892609, 21122990220, 88632255929, -6889002360, 27229544718, 8881630516, 103801043524, -17198609916, 5345679437, 86356614460, 99274694168, -1316584584, 40119058873, -43809354132, -13192676017, -25701526305, 38640517405, 139916318620, -74039771580, -54088740436, 100945050540, 90966791794, -37035769584, 3891686784, -71252553294, 13307957594, 52144326423, -17229740640, -17090303016, -44865299372, 19874648909, -115802211648, -28570819620, 108230738130, -12707632014, 18534756392, -41221574774, -36350550390, -118858937348, -30996630596, -147935565711, 10555407300, 42944903003, -40385818470, 30709060050, 115669187004, -68547989232, 67824711946, -106588373066, 80467101132, -136814987514, 38230011476, 52923407790, 43872413338, -75306271560, -23764241200, -96946790119, -4335039668, -48267658718, 65400692392, 145946255183, 6736090035, -134147742682, -3772829627, 107488282665, 97744345006, -48958241384, -95120497828, -48380782020, 53913783900, 19913547338, -69503171216, -176232603584, 93470810265, -213570312624, -23724071068, 96678063924, 5297376556, -82889212168, -98320343948, -11756423316, -56393041909, -60717363827, -93244888732, -76328994693, -91654580588, -71604172369, 96079614788, 111239215622, 4793256962, 59776549036, -27245405004, 6950665594, -65736024595, 17479705696, 20797958088, 3423464500, -40003971740, 36660131532, -126810005942, -22341069465, -64328247364, -11190413457, 64987463318, -44480145018, 57925946944, 50826553968, 79605935426, 5842336470, -83951394188, -93771592881, -70827745451, 42105844032, -22241162415, -45764430717, -148192279708, 157264601622, -42536341961, 33748213203, 115230293828, -224666264052, 32995227813, -59118121847, 16096657581, -24697161810, -49045751340, -160462018146, -75363932322, 9259327511, 48666153664, 269269235676, 96228336781, -43019342164, 46977578988, -126598920389, 50529608832, 64623607112, 107498934134, 48896469296, 110323684116, -65539161956, 5327811565, 136975840962, -11114124516, 13228510210, 112130762740, 119943802418, -20135033931, -84616616151, 89613121953, 245678333156, 24285704262, 183659575816, -35635913461, 43745094864, 32597066792, -66154803708, -71298094148, -160030258903, 142856201453, -127866354645, 8170347446, 60216347910, 9707837306, 55920560640, -114529587348, 91920178302, -83538576885, 103445611065, -74820333906, -126727655353, -35237802148, 53622089322, 11764838094, 172219540277, 50562022432, -7507183466, 21892079748, 305241491824, -89644666980, 129664857194, -14258111877, 223671758656, -133480195047, 189088346512, -10270591908, -23005986506, 14514425385, 6743913226, 58854886770, -77375819079, -136171323158, 139206703906, 104023542594, 143963148052, 71369904864, 110690526561, -177776503464, 25850343563, 59702328720, -271164071452, -104908373448, 352809141978, -182509565604, -65063509874, -3528729124, -5822957504, -56894203881, -39926622622, 53136088374, -138695508221, -80082612911, -206022169874, -78629064872, 116691540025, -61934669034, 88505269748, 144909724200, -167060063980, 123976249836, -42414168567, 18658385029, 143156776213, 32424666072, 332540848182, -60682847164, -52600809087, 42243996388, -222641994902, -10983017473, -44236927652, -6268636382, 260528428665, -159370119780, -178527296600, 63380024208, 171809891668, 2820210692, 140577473577, -164135302360, -27189862340]