# Trace form for 51.3.g.b, downloaded from the LMFDB on 08 September 2025.
[0, 4, 4, 0, 0, -8, 0, -4, 12, 0, -8, 16, -24, 0, 20, -24, 12, 24, -36, -40, -8, 12, -12, 28, 12, 32, -56, 0, 28, 0, 24, 12, 12, -48, 52, 0, 36, 24, -96, -24, -56, -16, 132, 28, -44, 72, 44, 56, 144, -136, 0, -36, 16, 72, -108, 0, -92, -48, 0, -300, 72, -216, 12, 180, 0, 96, -120, 232, 32, -84, -176, 132, 108, -88, 24, 0, 8, 136, -192, 44, -216, -324, 28, 36, 84, -8, 0, 312, 96, 176, 216, 288, -12, -252, 264, 192, 0, 204, -284, -108, 104, 0, 228, -224, 152, -240, 0, -88, -216, -184, 160, -24, -204, 40, -168, 0, 312, -432, -576, -212, -168, -68, 160, -48, -276, 272, 396, 208, 68, 0, 352, -316, -132, 320, 204, 216, -96, 0, 180, -284, -224, 624, -164, -200, 0, 0, 32, -36, -72, -72, 12, 16, 0, 360, 424, -48, -264, 0, 292, 0, -184, -152, -324, 304, -212, 144, 0, -436, -156, 68, -312, -360, -148, -280, 0, 92, 0, 72, 52, 96, 216, -344, 656, 648, -92, -96, -36, 372, 0, 540, 416, -312, 264, 552, -196, 384, 112, 8, -360, -532, 156, -84, 440, 0, -48, -176, -512, 396, 0, -328, -768, -436, 472, -444, -88, -176, 0, 0, -80, 180, 80, 552, -72, -712, 140, -288, 92, -236, 0, -568, -240, 456, 312, 204, -504, -944, 348, 132, -788, 0, -72, 1100, 148, 0, 592, 568, -48, -512, -204, 0, -144, 936, 252, 336, 0, -600, 884, -404, -348, 0, 320, -936, -316, -272, 12, 400, 320, -372, 0, -400, 648, -136, -648, 864, 736, 176, -36, -992, -284, 756, 368, 320, 0, 16, 116, 576, -584, -144, -108, 32, 0, -600, -116, 1048, -444, 1152, 72, -324, 24, 560, -492, 200, 40, 72, -312, 0, 576, 1032, 168, -864, 0, -1124, 0, 380, 768, -864, -524, 248, 384, 0, 136, -204, -688, 352, 0, -312, -284, 552, -168, -888, 624, -380, -844, 72, -316, -352, 612, -8, -124, -120, -600, 0, 0, -104, 256, -528, -904, 580, -624, 648, 116, -216, -356, 576, -828, 592, 0, -1212, 168, -304, -72, 0, -520, 852, 336, -240, 1608, -180, -780, 540, 0, 88, 468, 656, 772, -816, 376, -1040, 540, 428, 288, 0, -64, -104, 1428, -848, 684, -252, 208, -608, 1056, 196, 0, 264, -16, -992, 216, 304, -1036, 528, -336, -860, 0, 816, -320, 648, 624, 0, -468, 80, -112, 840, 0, 1680, 540, -880, -328, 48, -328, 1124, -336, 0, -560, 0, 232, 620, -492, -1824, -28, -600, 288, -276, -1296, 56, -312, 0, 288, 336, 96, 1116, -384, -1224, 992, 0, -24, 144, -1120, 288, -188, 1164, -252, -172, 12, 24, -352, -1472, -264, -968, 0, 1296, -640, 912, 864, 0, 1248, 0, 204, 592, 0, -120, -944, -312, 0, -324, 132, -496, -532, -648, -272, 732, 552, 32, 1100, -1152, 636, 800, 0, 876, -1288, -912, 1160, -96, 636, -208, 0, 1008, -828, 1216, -1428, -1088, -688, 180, 588, 116, 468, -832, 712, -576, 544, 0, -1368, -424, 804, 0, 0, 1600, -72, 16, 336, -936, -192, 628, -936, 0, 896, 36, -760, 204, 0, 328, -112, -2700, -112, 568, 0, 352, 668, -72, 1040, -988, -216, -192, -656, -1032, -84, 0, 864, -164, 664, 1440, -56, -1040, -564, -1080, -1696, 0, 616, -3408, 540, -512, 0, 360, -1032, 1700, 288, 0, 708, 324, 708, -1212, 576, 652, 152, 744, 0, 828, -612, 2632, -1132, 1656, 832, 584, -588, 872, -356, 1152, 1024, 472, 0, 672, 2256, 24, 264, 4, -324, 1680, 0, -756, 928, -688, -228, -272, 1416, 0, 0, -296, 1392, 508, -608, 1248, -2144, 0, 1296, -3912, 1384, 192, 0, -1584, 0, 24, -624, 1188, -1124, 320, -1800, 0, 256, -72, -1288, 88, -1584, 1120, -276, 1308, -72, 336, -1464, -1656, -728, -1332, -1224, -1776, 264, -952, -616, 528, 264, 0, -972, -2028, -320, -792, -892, -1560, 72, 1264, 480, 540, 1528, 288, 528, -1248, 0, 1824, 656, -1280, -360, 0, -812, 912, -352, 904, 1596, 848, -8, 972, 0, 136, 432, 1592, 440, 708, 432, 720, -72, -912, -104, 0, 1140, -464, -1248, -1608, -872, 1224, 392, 1136, 936, -684, 0, -1728, 196, -816, 0, -256, 412, -336, 236, -2224, 0, 864, 1248, 1836, 404, 0, -1572, 1536, -144, -1224, 0, -1284, 216, 1376, -260, -816, -1192, -1768, 648, 0, 704, 0, -368, 184, 1776, 2008, -772, 1704, -428, 956, 144, 80, 32, 0, -1048, 124, -612, -240, 1152, -324, -48, 0, -1680, 228, 5160, -1044, -1456, -80, -756, 2064, 1516, 120, 512, 216, -120, -256, 0, -936, 1016, -3552, 576, 0, -2000, 0, 2364, -688, -1296, 1524, 1008, 336, 0, 520, -96, 168, -924, 0, -552, -1744, 948, 3224, 112, -648, -1168, -392, -36, 2672, 1328, -1200, -1316, 1072, -960, -2784, 0, 0, -3168, -344, -1476, 1376, 816, 2160, -1272, 3116, 648, -1808, 1456, -1560, -256, 0, 2196, -912, -860, 720, 0, -800, 3048, -1836, -960, -348, 1680, 692, 1548, 0, 1024, -1056, -464, 688, 852, -240, 584, -324, -1240, -204, 0, -2704, 1048, -5016, 312, 632, -2376, -1012, -2184, 48, 244, 0, -2076, 256, -5680, 288, -556, 2936, -600, -468, 640, 0, 676, 4096, -2484, 1248, 0, -3312, -1008, 104, 1248, 0, -232, -1800, 336, 1952, 1152, 1840, 1116, -72, 0, -804, 0, -3160, 1416, 3456, 948, 3084, 216, 664, 144, -1296, 1320, -1392, 0, -336, -2788, 1680, 2848, 2496, 936, 1752, 0, 1824, -248, 704, 72, -1104, 120, 3744, -2624, 940, -3024, -1724, -80, -1920, 1192, 0, 972, -1816, 368, 1056, 0, -1808, 0, 328, -432, 0, 2080, -3592, -720, 0, -2136, 1188, 3432, -1552, -1368, 3680, 992, -1140, 1552, -1968, 1992, -1016, -612, -2160, -1244, 3096, 1572, 664, -264, -744, -172, 0, 504, -368, -1768, 312, -1500, -3960, -648, -2232, -608, 612, -3016, -528, -1608, -1336, 0, 1512, 1584, 1972, 1944, 0, 3260, 912, 24, 124, -2616, 828, 1064, -720, 0, -2316, 348, 96, 728, 2664, 192, -112, 1440, 940, -1644, 0, 1576, 1008, 888, -848, -1412, -648, 1392]