# Trace form for 78.4.a.a, downloaded from the LMFDB on 14 October 2024.
[0, 1, -2, -3, 4, -16, 6, 28, -8, 9, 32, 34, -12, -13, -56, 48, 16, 138, -18, 108, -64, -84, -68, -52, 24, 131, 26, -27, 112, -190, -96, -176, -32, -102, -276, -448, 36, 342, -216, 39, 128, 240, 168, -140, 136, -144, 104, 454, -48, 441, -262, -414, -52, 198, 54, -544, -224, -324, 380, -154, 192, 34, 352, 252, 64, 208, 204, -656, 552, 156, 896, 550, -72, 614, -684, -393, 432, 952, -78, 8, -256, 81, -480, 762, -336, -2208, 280, 570, -272, -444, 288, -364, -208, 528, -908, -1728, 96, 1022, -882, 306, 524, -1190, 828, -224, 104, 1344, -396, -640, -108, -1934, 1088, -1026, 448, -418, 648, 832, -760, -117, 308, 3864, -384, -175, -68, -720, -704, -96, -504, -1040, -128, 420, -416, -568, -408, 3024, 1312, 432, -1104, 528, -312, -1556, -1792, -1362, -1100, -442, 144, 3040, -1228, -1323, 1368, 1524, 786, -3024, -864, 1242, -1904, 2816, 156, 2198, -16, -594, 512, -1456, -162, -268, 960, 1632, -1524, 702, 672, 169, 4416, 972, -560, 2066, -1140, 3668, 544, 462, 888, -276, -576, -3474, 728, -102, 416, -5472, -1056, 4692, 1816, -756, 3456, -3920, -192, 2186, -2044, -624, 1764, -1368, -612, -1072, -1048, 1968, 2380, -5320, -1656, -3840, 448, -468, -208, 3672, -2688, 5444, 792, -1650, 1280, 2240, 216, -4928, 3868, -1842, -2176, -1794, 2052, 96, -896, 1179, 836, 198, -1296, 5922, -1664, -2856, 1520, -5114, 234, -7264, -616, -24, -7728, -5226, 768, -762, 350, -243, 136, -7056, 1440, -1404, 1408, -2286, 192, 3240, 1008, -1768, 2080, 6624, 256, -1386, -840, 9576, 832, -1710, 1136, 3300, 816, -3168, -6048, 1332, -2624, 4290, -864, 2452, 2208, 1092, -1056, 4454, 624, -42, 3112, -1584, 3584, -2288, 2724, 1156, 2200, 5184, 884, 6720, -288, 14131, -6080, -3066, 2456, -8684, 2646, 2464, -2736, -918, -3048, 676, -1572, -3920, 6048, 3570, 1728, -544, -2484, -7552, 3808, 672, -5632, 2652, -312, -4426, -4396, -4032, 32, -4944, 1188, -6460, -1024, 1920, 2912, 14904, 324, -1703, 536, 5802, -1920, 12712, -3264, -6088, 3048, 3078, -1404, 10496, -1344, 6638, -338, 1254, -8832, -5984, -1944, 2744, 1120, -2496, -4132, -2292, 2280, -9866, -7336, 351, -1088, 2368, -924, -8800, -1776, -11592, 552, 5070, 1152, 4805, 6948, 525, -1456, -9824, 204, -8584, -832, 2160, 10944, 5544, 2112, 4994, -9384, 288, -3632, 2470, 1512, 1300, -6912, 3120, 7840, -4590, 384, -15232, -4372, -1260, 4088, 3510, 1248, -7176, -3528, 1704, 2736, -128, 1224, 6230, 2144, -9072, 2096, -7500, -3936, 2288, -4760, -1296, 10640, 11628, 3312, 8254, 7680, -1584, -896, -4312, 936, -12192, 416, 4668, -7344, -14808, 5376, 10354, -10888, 4086, -1584, 18078, 3300, 952, -2560, 1326, -4480, -15486, -432, -2018, 9856, -9120, -7736, -5616, 3684, 8792, 4352, 3969, 3588, -2760, -4104, 7104, -192, -4572, 1792, 9532, -2358, 8160, -1672, 9072, -396, 5824, 2592, 12862, -11844, -3726, 3328, -6744, 5712, -9572, -3040, -8448, 10228, 9104, -468, -18368, 14528, -6594, 1232, -4760, 48, 14148, 15456, 1782, 10452, -18870, -1536, -4446, 1524, 4368, -700, -16352, 486, -1744, -272, 804, 14112, 13360, -2880, -26220, 2808, -4896, -2816, 15400, 4572, 17368, -384, -2106, -6480, -5828, -2016, 19040, 3536, -507, -4160, 10744, -13248, 17192, -512, -2916, 2772, 3584, 1680, 15436, -19152, -6198, -1664, -12234, 3420, 1812, -2272, -11004, -6600, -24288, -1632, -9463, 6336, -1386, 12096, -3120, -2664, 10240, 5248, 828, -8580, 14994, 1728, 6098, -4904, 10422, -4416, 30944, -2184, -18332, 2112, 306, -8908, -20520, -1248, 224, 84, 16416, -6224, -20004, 3168, 1820, -7168, -14076, 4576, 10988, -5448, 6688, -2312, 2268, -4400, 11062, -10368, -708, -1768, 11760, -13440, -6812, 576, -2094, -28262, -6558, 12160, 21336, 6132, 6732, -4912, 1872, 17368, -17854, -5292, -19008, -4928, 4104, 5472, 23948, 1836, -61824, 6096, 3216, -1352, -18068, 3144, 19942, 7840, -5904, -12096, 2800, -7140, 26376, -3456, 15960, 1088, -5902, 4968, -19426, 15104, 11520, -7616, -8024, -1344, -20648, 11264, 1404, -5304, -12432, 624, -14839, 8852, -11016, 8792, 47196, 8064, 12280, -64, -16332, 9888, 16640, -2376, -5733, 12920, 4950, 2048, -15878, -3840, -21520, -5824, -6720, -29808, 7312, -648, -5236, 3406, 14784, -1072, 3090, -11604, 9088, 3840, 5526, -25424, -13428, 6528, 22598, 12176, 5382, -6096, -48384, -6156, 9880, 2808, -288, -20992, 1156, 2688, 6178, -13276, -3537, 676, 22398, -2508, 28616, 17664, -594, 11968, 11410, 3888, -8448, -5488, -17766, -2240, -2574, 4992, 32488, 8264, 8568, 4584, 24896, -4560, 33120, 19732, 15342, 14672, 5094, -702, 36936, 2176, 21792, -4736, -33320, 1848, 25418, 17600, 72, 3552, 9152, 23184, 7072, -1104, 15678, -10140, -20428, -2304, -6272, -9610, 2286, -13896, -24890, -1050, -38336, 2912, 729, 19648, -19320, -408, -166, 17168, 21168, 1664, -22304, -4320, -25248, -21888, 4212, -11088, -4442, -4224, -24384, -9988, 6858, 18768, -17920, -576, -19848, 7264, -9720, -4940, 48384, -3024, -29166, -2600, 5304, 13824, -6240, -6240, -54152, -15680, -19872, 9180, 2002, -768, -39750, 30464, 4158, 8744, 9764, 2520, -23056, -8176, -28728, -7020, 25920, -2496, 18700, 14352, 5130, 7056, -35168, -3408, -36016, -5472, -9900, 256, -11704, -2448, -442, -12460, 9504, -4288, -22290, 18144, 62652, -4192, -3996, 15000, 20876, 7872, 23296, -4576, -12870, 9520, -25578, 2592, 29900, -21280, -7356, -23256, 4288, -6624, -15120, -16508, -3276, -15360, 16412, 3168, 18552, 1792, -13362, 8624, -28662, -1872, -3686, 24384, 126, -832, 60858, -9336, -11232, 14688, 4752, 29616, 13370, -10752, 11711, -20708, 6864, 21776, -2704, -8172, -4900, 3168, -3468, -36156, -17784, -6600, 11398, -1904, -15552, 5120, 7990, -2652, 7652, 8960, -20160, 30972, -1022, 864, -33056, 4036, -42393, -19712, 272, 18240, 8528, 15472, 9198, 11232, -2688, -7368, -15546, -17584, 26052, -8704, 11310, -7938, 17260, -7176, -7392, 5520, 832, 8208, -29120, -14208, 2754, 384, 49032, 9144, 4416, -3584, -2028, -19064, 33440, 4716, 27324, -16320, 11760, 3344, 55584, -18144, 31740, 792, -10710, -11648, -23568, -5184, 25908, -25724, 1632, 23688, -15904, 7452, -18864, -6656, 22656, 13488, -7150, -11424, 44802, 19144, -2016, 6080, -19536, 16896, 47628, -20456, -7956, -18208, -75072, 936, 18174, 36736, 13278, -29056, 51172, 13188, -12480, -2464, 12096, 9520, 3726, -96, -7982, -28296, 14832, -30912, -40498, -3564, 62720, -20904, 19380, 37740, 14784, 3072, 1185, 8892, -5760, -3048, -34976, -8736, 28568, 1400, -44712, 32704, -8676, -972, -43568, 3488, 5109, 544, -2796, -1608, -15096, -28224, -17406, -26720, -406, 5760, 21888, 52440, -38136, -5616, 7280, 9792, -23232, 5632, 18264, -30800, 17152, -9144, 6110, -34736, -9234, 768]