# Trace form for 48.8.a.d, downloaded from the LMFDB on 25 April 2024.
[0, 1, 0, -27, 0, 270, 0, -1112, 0, 729, 0, 5724, 0, -4570, 0, -7290, 0, -36558, 0, -51740, 0, 30024, 0, -22248, 0, -5225, 0, -19683, 0, -157194, 0, 103936, 0, -154548, 0, -300240, 0, -94834, 0, 123390, 0, 659610, 0, 75772, 0, 196830, 0, -405648, 0, 413001, 0, 987066, 0, -1346274, 0, 1545480, 0, 1396980, 0, 1303884, 0, 1833782, 0, -810648, 0, -1233900, 0, -1369388, 0, 600696, 0, -2714040, 0, 2868794, 0, 141075, 0, -6365088, 0, 1129648, 0, 531441, 0, -5912028, 0, -9870660, 0, 4244238, 0, -897750, 0, 5081840, 0, -2806272, 0, -13969800, 0, 13719074, 0, 4172796, 0, 1933038, 0, -4761272, 0, 8106480, 0, -2210436, 0, -20092858, 0, 2560518, 0, 7940754, 0, -6006960, 0, -3331530, 0, 40652496, 0, 13277005, 0, -17809470, 0, -22504500, 0, 22739488, 0, -2045844, 0, 22778388, 0, 57534880, 0, -5314410, 0, 41698746, 0, 6194716, 0, 10952496, 0, -26158680, 0, -42442380, 0, -11151027, 0, -5416578, 0, -70844360, 0, -26650782, 0, 28062720, 0, -79080106, 0, 36349398, 0, 24739776, 0, 24449140, 0, -41727960, 0, -35553816, 0, -41863617, 0, -37718460, 0, 102794022, 0, 5810200, 0, -35204868, 0, 41558724, 0, -33501250, 0, -49512114, 0, -25605180, 0, -209257992, 0, 21887496, 0, -49080384, 0, 60448322, 0, 33315300, 0, 5004558, 0, 221134888, 0, 36973476, 0, 174799728, 0, 178094700, 0, -16218792, 0, -296159760, 0, 71664100, 0, 73279080, 0, 20458440, 0, -115576832, 0, -77457438, 0, 167070060, 0, -26144000, 0, -3809025, 0, 34099380, 0, 227427854, 0, 171857376, 0, 56906010, 0, -109524960, 0, -30500496, 0, -302715792, 0, -25369582, 0, -14348907, 0, 111510270, 0, 236451800, 0, 159624756, 0, 14654412, 0, -127347552, 0, 266507820, 0, -23465214, 0, 105455408, 0, -114594426, 0, -425583288, 0, -363493980, 0, 24239250, 0, -393061626, 0, -58955984, 0, -137209680, 0, -29907900, 0, -21597346, 0, 75769344, 0, -334717974, 0, -326806484, 0, 377184600, 0, -733486320, 0, 926148691, 0, -370414998, 0, -728964306, 0, 352048680, 0, -112665492, 0, 101673360, 0, -84258464, 0, -52192026, 0, 495121140, 0, 126039364, 0, 128554344, 0, 715768056, 0, -291195958, 0, -218874960, 0, 42428502, 0, -899778456, 0, 59681772, 0, 1891510920, 0, 23878250, 0, 542507166, 0, 451080576, 0, 547256668, 0, -69133986, 0, -369734760, 0, -185332174, 0, -214400358, 0, 594929664, 0, 456522704, 0, 162187920, 0, -1297110996, 0, -622135786, 0, 89951310, 0, 620687394, 0, -732790800, 0, -1097617392, 0, -606882456, 0, 1783155861, 0, -358479135, 0, 774574380, 0, 1405384528, 0, 480855690, 0, 1497056688, 0, -1129248322, 0, 607621500, 0, 718376580, 0, -1635149492, 0, -613966176, 0, 227684736, 0, -1718573760, 0, 55237788, 0, -623119986, 0, 813342384, 0, -615016476, 0, 305004960, 0, -1495834, 0, -1553441760, 0, -306500814, 0, -474987520, 0, 143489070, 0, -542829816, 0, 356868074, 0, -1125866142, 0, -1449919008, 0, -1596247560, 0, -167257332, 0, 2284281972, 0, 263134670, 0, -295717392, 0, 191015550, 0, -2039165584, 0, 706284360, 0, -1490529168, 0, 1105390802, 0, 1145944260, 0, 1151111520, 0, -296352872, 0, 301077729, 0, -358944372, 0, -242392500, 0, 146247606, 0, -3419482878, 0, 3775607640, 0, 1912797720, 0, 1372096800, 0, -2858275270, 0, 719571114, 0, 962699526, 0, -601892624, 0, -757693440, 0, -1720599516, 0, 1522759456, 0, 2135162862, 0, 433718928, 0, 270341500, 0, -981433746, 0, 537261984, 0, 433391380, 0, -667973952, 0, 3704149980, 0, 4496210056, 0, -660126780, 0, -3329173764, 0, 5746698252, 0, 1126654920, 0, 3018012480, 0, 2049857284, 0, 959953032, 0, -776491272, 0, 521920260, 0, 1130317659, 0, -4566792042, 0, -3190098928, 0, 1018398420, 0, -1285543440, 0, -2321929152, 0, -2775438594, 0, -2211592518, 0, 2341539676, 0, -156875400, 0, -3799692288, 0, -2909851943, 0, 950531436, 0, -3014417700, 0, -596817720, 0, -1122085548, 0, 2364017724, 0, 2354970518, 0, 904533750, 0, -5425071660, 0, -3414933644, 0, 1336827078, 0, 8133217560, 0, -1256168576, 0, 691339860, 0, -479293146, 0, -346278040, 0, 5649965784, 0, -6503021820, 0, 2144003580, 0, -590962392, 0, -4516247286, 0, -2473754420, 0, 1325170368, 0, 116245800, 0, -531720766, 0, -1632104694, 0, 6574175136, 0, -7706072376, 0, -899513100, 0, -8171104932, 0, -5377648640, 0, -135123066, 0, -1599227982, 0, 10976173920, 0, -5970641976, 0, 8803296216, 0, 8212347818, 0, -998283852, 0, 3584791350, 0, -5091919616, 0, -4719592656, 0, 1853811360, 0, -7012818226, 0, -4808556900, 0, 4637135898, 0, -1339167236, 0, 437907384, 0, 998298000, 0, -5668011875, 0, 7996313520, 0, 3466941372, 0, 11235380248, 0, -1934930700, 0, 6139661760, 0, -1887414570, 0, -1978535160, 0, 9823803714, 0, -3562395692, 0, -552377880, 0, -5911190136, 0, 7463432016, 0, 3120574464, 0, -770538042, 0, 6150164760, 0, 2091350826, 0, -4952706012, 0, -1203185122, 0, -4510891620, 0, 15534417600, 0, 3497252112, 0, 705888000, 0, 10496568168, 0, 13082272610, 0, 102843675, 0, -14937960978, 0, -15255610288, 0, -920683260, 0, 9504153468, 0, 11258661420, 0, -6140552058, 0, 6152472180, 0, -1878926588, 0, -4640149152, 0, 1672573320, 0, -24114022380, 0, -1536462270, 0, -10659148074, 0, 4906711160, 0, 2957173920, 0, -2149538256, 0, -15846448594, 0, 823513392, 0, -2312368128, 0, -7062843600, 0, 8173326384, 0, 17848243728, 0, 5294534464, 0, 684978714, 0, 821338650, 0, -14112349064, 0, 387420489, 0, -2770072776, 0, -5553243562, 0, -3010777290, 0, -7838376912, 0, -9726138380, 0, -6384198600, 0, -837461592, 0, -1462476060, 0, -4309868412, 0, 2458004832, 0, 3054215248, 0, -395669124, 0, -19127977200, 0, 17725000958, 0, 3438383904, 0, 1282680522, 0, 22343258096, 0, -7195711140, 0, -5958749880, 0, 15077765378, 0, 633560778, 0, 12673665486, 0, -543065600, 0, -2847296016, 0, -34128221400, 0, -15535164960, 0, 3094049502, 0, -21351628620, 0, 1466843236, 0, 11490748776, 0, -8830118448, 0, -8380383740, 0, 9814337460, 0, -14962924746, 0, 14829679584, 0, -654459750, 0, 16420976856, 0, 6679739520, 0, 10612663902, 0, 10626300954, 0, 24430594300, 0, 1591811568, 0, 6601267800, 0, -3920443280, 0, 3704661360, 0, 26856767646, 0, -5829138344, 0, 807513300, 0, 13176118476, 0, 19963398518, 0, 583128342, 0, -15098490558, 0, -9599530320, 0, -2045772288, 0, -21943306296, 0, 7460077327, 0, 9037385298, 0, -11303176590, 0, -14764029560, 0, 8823775068, 0, 2109866832, 0, -21310189474, 0, -10183984200, 0, 4659955434, 0, 1684203820, 0, 19804130640, 0, -1086323616, 0, 27754385940, 0, -25006014657, 0, 6466105152, 0, 6258103160, 0, 10001204946, 0, 25025004000, 0, 11144291078, 0, 19682036262, 0, -37884469230, 0, -15813099836, 0, -9505314360, 0, 15217090488, 0, -25286310656, 0, 3041968284, 0, 20988227520, 0, 11220855480, 0, -2745180720, 0, -16338115584, 0, 49217084892, 0, 2274978528, 0, -9045337500, 0, 15239522524, 0, 1409184702, 0, 14944664592, 0, -33840448272, 0, -13368270780, 0, -25329567456, 0, 16529148088, 0, -3403062828, 0, 12403162800, 0, 495507650, 0, -3470967288, 0, -25817045598, 0, -21368671740, 0, -19325737512, 0, -56499657840, 0, -18342780454, 0, 7862290866, 0, -6333459930, 0, -14675003280, 0, 5909623920, 0, -20195775036, 0, -13110388580, 0, -1145569554, 0, 48617240202, 0, -13251703680, 0, 24294018312, 0, -46369005552, 0, -16709922015, 0, -1611407844, 0, 16321046940, 0, -12377800280, 0, -51070794840, 0, 17059670172, 0, -6888524192, 0, -644712750, 0, 39694489074, 0, -5138721000, 0, -14647693482, 0, 75539736, 0, 1351230660, 0, -12179175552, 0, -1685775456, 0, 29902583872, 0, -14775930036, 0, 59706419760, 0, 12425438798, 0, 1866617622, 0]