# Trace form for 115.4.a.e, downloaded from the LMFDB on 25 April 2024.
[0, 5, 6, 4, 22, -25, 19, -3, 138, 77, -30, 23, 47, 132, 93, -20, 282, 23, -15, -161, -110, -60, 193, -115, 105, 125, -257, 577, 17, 401, -95, 32, 670, 189, -663, 15, -659, -38, -875, 335, -690, -12, -798, -566, 47, -385, -138, 919, -773, -738, 150, -993, -305, 1156, -8, -115, 343, 114, -1042, 1324, -235, -1673, 565, 270, 2466, -660, -2781, 558, -2267, -92, -465, -108, -789, 1173, 1458, 100, -3477, 2608, 704, 656, -1410, -319, 3505, -82, -718, -115, 112, 2389, 2397, 570, 75, -1589, -506, 911, -948, 805, -5991, 633, -2555, 2021, 550, 4826, 3785, 305, 2049, 300, 122, 1924, 1394, 1021, -965, 152, 6145, 2320, -106, 575, -2486, 2886, 5980, -3222, -525, 1904, 393, 206, 4283, -625, -3930, 461, 6710, -5166, 1285, -201, -5303, -959, 1922, -2885, -8237, 4091, -437, -5883, -85, 3629, -5923, -2156, -4707, -2005, 2388, -4319, -2664, 5347, 475, -5570, -11567, 281, -648, -160, -922, -1270, 5504, -5596, -3350, 69, -270, 146, 10427, -945, -9590, -1528, 430, -3133, 3315, 2464, -3004, 1617, 5898, -75, 18151, -6010, -7880, -5737, 3295, -2689, 3231, -7743, -3174, 190, 1498, -12031, -5454, -1587, 4375, -2016, -9517, 1525, 6221, -1675, -4791, 14072, -15113, -10384, 3450, 1260, 13452, -6882, 13419, 60, -4917, -1771, -6677, -2872, 3990, -1854, -460, 10322, 5564, 2830, 17394, -2657, 4041, -17251, -235, 5232, 15284, 7464, 12827, 1925, 15250, -2708, 1762, -7198, 690, -4577, -834, 7247, 1756, -4595, 27454, 17744, -2, 3313, 3865, -3238, -9509, -6482, -13221, 3690, 16895, 691, 11761, -10738, -750, 5309, -13576, -529, 20384, 4965, 28786, -3733, -17080, 2626, 1525, 15992, -6882, 7301, 5187, -5780, -7397, -25482, 6932, -6639, 40, 9209, -36275, 7069, 3757, 575, -1081, -9101, -11190, -6118, -1715, 8528, -2026, 7096, -10457, -570, 4056, -1570, -39617, 5228, 5210, 1531, 21002, 18050, 390, -6620, -27580, 5637, 807, -3036, 1175, 14652, -12941, -8914, -36925, 8365, 26883, -899, 10164, -117, -2825, -16213, 7638, -8745, 124, -1350, -1848, 3549, -24974, -11676, -12330, -9020, -2139, 11084, 6922, 3300, -13445, -13558, 7577, 1324, 13905, 20249, -21724, 16474, -18024, -2790, -16358, 9801, -29611, 5000, 11335, -4734, 10168, -7596, -8572, 460, -7163, -1473, 7124, -15341, 2325, 23660, 34733, 2835, 38442, 540, -15244, 1173, -944, -19904, 3945, -16372, -9987, 2220, -6683, -5865, -9953, 878, -6486, -9861, -7290, 16128, -9352, 11368, -3213, -500, 6746, 27991, 12801, -22315, 17385, 23713, -25246, -4516, -9103, -13040, -40148, -16568, 38847, 28457, -3520, -529, -23521, 25569, 12481, -3280, -51367, 9290, -24584, 5323, 7050, -11736, 11324, 2368, 37826, 1595, -1080, -10032, 3529, -4698, -17525, 18488, 6969, -18502, 345, 410, -19943, 25063, -24680, 2814, 3590, 34529, -17466, 39022, 41328, 575, -27825, 24388, 3210, 34901, -560, 9032, 22078, 12811, 8215, -11945, -8661, 3703, -24020, 4500, -11985, -27936, -8580, 9182, 74804, -2850, -7624, 8226, 26497, 26405, -375, -19719, 10156, -22194, 11174, 7945, 19462, 13870, 19528, -6897, 2530, -1205, 16197, 35572, -54658, -4555, 13028, -5006, -6596, -3670, 4740, -24102, 61894, 31524, 22496, -4025, -37788, 7288, 11964, -1364, 29955, -19564, -60960, 1380, -2123, -3165, -31742, -27415, -72407, -6933, 12775, 5061, 49695, 25866, 4185, -10105, 17327, -7454, 10474, -27555, -2750, -22684, 19379, -20167, -19076, -24130, -4439, 278, 85082, 6131, -18925, 5666, 106294, -12483, 31240, -1525, -19620, 19284, -44602, 24561, -10245, -3052, 29738, 3478, -11148, -1500, 30323, -13812, -35055, 2645, -610, -39356, -30723, -23919, -39788, -9620, 18160, 6441, -28502, -32182, -6970, -7859, -89, -5940, -90321, -5105, -25491, -15480, -27237, -12995, 4825, 13134, -2415, 18080, 22698, -760, -25734, 37140, -6380, -37594, -30725, -12776, 50230, 18602, -832, -11600, -46534, 7554, 10557, -18970, 530, -12537, -30920, -27604, -13924, -2875, -108963, -7197, 1805, -16999, 12430, -34412, 55795, 55286, 100274, -14430, 49942, 652, -6424, -15231, -29900, 11684, -52024, -3136, 20979, 16110, 38665, -38246, 5911, 26561, 2625, -83598, 2984, 5118, -57173, -9520, 42432, 7752, -120367, 20472, -1965, 38675, 74755, -1932, -2093, -1030, 73332, 5583, 34985, 13425, -21415, -13271, -48474, -1312, 26234, 3125, -30623, 21249, 45518, 44494, 19650, 38176, -25848, -48782, -43971, -2305, -45518, -5392, -24936, 24747, -33550, -28878, -15268, -45302, -391, 25830, 75212, -12863, 47190, -76874, -6425, 14797, 27255, 5248, 106760, 1005, 30111, -78144, -3886, 47132, 26515, 28445, -20086, -55937, -52208, 4795, 103494, -9223, -46888, 48904, -9610, 29859, -17362, 27133, 41593, 14425, -56887, 8240, 36978, -41040, 41185, -80562, 26010, 29762, 52956, -20455, -19048, -24880, 74268, 19432, 2185, 44914, 17451, 1441, 47057, 29415, 57936, 5085, -6656, -18661, 425, 76563, -50443, 16696, 110719, -18145, 55570, 9976, 87678, -17653, 29615, 104264, 15316, -736, -21041, 10780, -45338, 36407, 80672, 41535, 23535, -56080, 56391, -29558, -69489, 10025, -5985, -31063, -41401, -48676, -11940, -30292, 53437, -27978, -10802, 21595, -15410, -11680, 72415, 33903, 13320, 1041, 57012, -85963, -26492, -26735, 32786, -26140, -100683, 37864, -2375, 43540, -9610, -95398, -40868, 27850, 8495, -8946, -5993, -4347, 57835, -54590, -9492, -26225, -104230, -1405, 21070, 10920, -121221, -18790, 3240, 121631, -171394, 93070, -71276, 800, 71765, -82016, 82771, -35694, 4610, 32697, 15249, 75361, -86043, 6350, 21012, 60712, 34113, -34955, -27520, 53360, -26517, -95332, 35649, 27980, -39756, -1120, 27937, 4876, 16750, -67164, -81322, 10234, 26276, -345, -12607, -125771, 137146, -1715, 1350, 17279, -57266, -25760, -122992, -730, 46515, 176, -59939, 30451, -52135, -51754, -73052, -4011, 15923, 4725, 63022, 16964, 15157, -23288, 47950, -32483, -1517, 47602, -70120, 7640, -104352, 13994, -70716, -49352, -2150, -3218, -61091, -55306, -78268, 15665, -10188, -49080, 185276, -4676, -16575, 874, -142633, 35519, -66644, -12320, 41010, 36601, -92485, 25771, 15020, -54283, -3522, -44551, 40074, -8085, 43743, -70260, 40747, 54400, -29490, 9572, -116983, -62595, 20125, 375, -77346, 37815, 20371, 121874, -90755, -28936, 20338, -7783, 47816, 30050, 93485, 44117, 78428, 21214, 39400, 62708, -30132, 10966, -47252, 28685, 158507, -7705, 61481, 1615, -16475, -32944, -17361, -30888, -2120, 13445, -67861, -12268, 127054, 32186, -16155, -18618, 79890, -101430, -58590, 38715, 129180, -42216, -71911, 16630, 15870, -16875, -40324, 64473, 8583, -950, -101496, -44965, -194310, 6105, -7490, 31479, 89234, -46609, -41740, 60155, 67140, 7955, 4126, 65512, 27270, 92035, 70596, 276, 108830, 7935, 33652, 2062, 107904, 6535, -21875, 53048, -171144, -39399, -146788, 10080, -49488, 112090, 127312, 91115, 47585, -108313, 106376, 33250, -286296, -7625, 18354, 161097, 70015, -35661, -31105, -12041, -184522, 2796, -99576, 8375, -18173, 36243, -118434, -9240, 23955, 28954, 14870, -24995, -36559, -70360, 50866, 184, 15627, 13018, 75565, -85105, 86821, -69817, 16536, 51920, 12590, 131882, -60336, -87580, -17250]