# Stored data for newspace 39.4.a, downloaded from the LMFDB on 13 May 2024.
{"label": "39.4.a", "level": 39, "weight": 4, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 18, "dim": 6, "eis_dim": 4, "eis_new_dim": 0, "cusp_dim": 12, "mf_dim": 16, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 1, "num_forms": 3, "Nk2": 624, "plus_dim": 5, "AL_dims": [[[[3, -1], [13, -1]], 3, 1], [[[3, 1], [13, -1]], 1, 1], [[[3, 1], [13, 1]], 2, 1]], "analytic_conductor": 2.301074490223884, "level_radical": 39, "mf_new_dim": 6, "char_values": [39, 1, [14, 28], [1, 1]], "hecke_orbit_dims": [1, 2, 3], "trace_display": [4, 0, 16, 32], "traces": [6, 4, 0, 16, 16, 0, 32, 48, 54, -36, -96, 12, 26, -232, -24, -76, -60, 36, 216, -92, 84, -436, -136, -180, 314, 0, 0, -48, 420, 84, 128, 28, 192, 440, 168, 144, -12, 416, 156, 76, 296, -360, -352, 20, 144, 248, -48, -432, -466, -380, -696, -156, -284, 0, -976, 40, -84, -896, -1072, -1188, 932, 1264, 288, -1456, -416, 972, -360, 1536, 120, 656, -976, 432, -1804, 2408, -72, 2248, 712, 156, 248, -700, 486, 3396, -3072, 624, 2432, 2640, -1272, 84, 1376, -324, 416, 2216, 1428, -1348, -4456, 840, 2820, -5644, -864, -3800, -580, -336, -1448, -780, -24, -488, 792, 108, -1076, -5424, 2280, -2720, 4620, 624, 768, 2296, 234, -2604, -3408, -3324, 3078, 3712, 1992, 1208, 7440, -2088, -2104, -7024, -504, 364, -2520, 4212, -520, -6808, -216, 4624, 1000, -7368, -2032, -496, 0, 1868, -104, -684, 4048, 8960, 4080, 960, 216, 6024, 2224, 5072, -540, -2384, 5576, 1248, -1028, -4560, -3216, 4796, 3072, 324, -3416, 15724, -6384, -1140, -368, 456, 1014, -2984, 1944, -5744, -9732, -1080, -128, -9188, -7512, -7092, 7496, -828, -3396, -1560, -1416, 456, 8048, 7920, -1728, -8540, 756, -10144, 10328, -132, -2388, -2976, 1560, 4256, -16160, -3924, 7144, -3288, 1524, 11616, 5120, -7368, -6392, 7760, -1224, -208, 7080, 5328, -8336, -15776, -2760, 11704, -18368, -1620, -6456, -1584, 4080, -4672, -5044, 3120, 16400, 12552, 2826, 1408, -5632, 7608, -12260, 24352, -1464, 12792, 7876, 0, 1856, -7364, -888, 7248, 5312, 8700, 15892, 21596, 0, 8504, -10368, -6804, 1560, -2672, 4440, -5864, -5376, -432, -17264, -13536, -8784, 548, 612, 2880, -7248, -2652, 3780, 1976, 2880, 9396, -480, -15952, 4488, -22800, 7892, 756, 8816, 680, 1092, -508, -5024, -14424, -476, -18944, 1152, 240, 10840, -7476, 10752, 1028, -10824, 4212, -2696, 252, -302, -13272, 10992, 5016, -11736, -13488, -9824, -11024, 1728, 12836, -1976, -660, -16304, 12704, 6384, -7656, 6704, 3960, 8008, 10752, -8232, -17488, 10536, 1872, 4740, 1576, 1512, -16912, -1760, 19680, 5568, 25700, -15408, -8288, -4192, 1296, 182, -4880, 5544, 15604, 9992, -336, 11960, -3068, -108, -11524, 23336, -4896, 1796, 676, -6120, 7016, 8440, 3744, 25024, -15200, 10944, -1216, 7744, -1152, -15180, 14984, 1404, -7348, 7128, -15372, 9552, 12500, -7944, 4064, 5808, 684, 3286, 7304, -4584, 2288, -11856, -15480, -14984, 10872, 2664, 13864, -19872, 408, -10068, -27272, 5760, -17068, -5044, -3240, 26264, 2528, -672, 3056, 9696, 2604, 1344, -9128, -3168, -6472, 11644, -1404, 7280, -2880, 13872, -18452, -2240, 180, -8748, 9104, -1776, -5708, -25024, 10968, 624, -5816, 1296, -24400, -22512, -13368, -11612, 3464, 16008, 13344, -2936, 2232, -7872, 3640, 3168, 12496, -17256, 720, -27444, -13216, -432, -12288, 4124, 17148, 96, 6968, -936, 10064, -49504, -3888, 28652, 9136, -23712, 18568, -30336, 19512, -15688, 23024, -4194, -1456, -20712, -16056, 29368, 5136, 12312, 9072, 38096, -3420, 1120, 19688, 17100, -1372, -728, 7104, -13676, 18368, -6264, 18944, 31648, -18576, 4208, -21472, -10296, 5664, -31184, -1404, 20088, 47936, 9840, 11116, -21056, 3696, -28728, -24320, -2556, 63548, 28352, 19764, 2444, 36432, 26496, 20456, 9648, 0, -23424, 13816, 15828, 24508, 16592, -11244, 24120, 2704, -8784, -21928, -32232, -5844, -31464, -21304, -5328, 12504, 720, 360, 37648, -76976, 0, -5776, -4032, 72, -55120, 9308, -756, -57328, -67424, 16320, -43992, 20592, -2016, -14404, 44252, -8064, 6192, 22136, -16740, -15528, 16368, 6492, 44918, -46264, -9648, -8464, -1352, 4884, -5792, -35864, -15312, -28832, 57616, -10692, 35516, -67016, -19152, -32920, 19328, -9048, -35888, 61356, 8388, 2468, 21264, -7992, 15984, -13656, 20160, 5520, -37032, 11376, 11440, -5264, 7680, 11076, 38872, -8364, -33488, 47088, 2592, 11172, 35748, -29184, 13792, 25740, -9000, -61936, -71064, -13104, 34380, -9268, -22944, 15928, -7240, 31224, 13376, -24920, -3744, -33692, 4352, 20604, -1720, 27440, -14232, 4952, -17824, 8748, 13776, -4916, -8688, -31928, 30688, -26100, 39108, 52928, -3240, 24248, 56624, 32328, -20904, -53104, 7080, 47720, 7800, 13824, 30772, 30536, -29640, 28784, 80232, -46608, 46376, -72944, 1080, 8600, 45096, -7956, 17214, 28992, 47592, 5488, 10840, 5904, -23248, -18928, 32760, -11956, 12112, 26664, 8866, -55528, -8784, -47060, -7692, 16584, -33048, 23744, 44448, 19744, 44096, 3888, -22472, 26104, -25536, -45880, -55868, -51432, -23392, -34068, -16236, 15536, -45280, 34272, -17868, -42648, 3744, -35852, 2736, 21672, -19984, -37052, -34284, 9280, -83744, 33960, -66716, -5568, -648, 2704, -26012, -43176, 35632, 64888, 2832, 39680, 10304, 20232, -8312, -30160, -14088, 78048, 572, -6816, 31016, -20504, 6408, 72288, 75728, -23040, 35472, -101832, -36144, -21136, -9316, 1404, -56512, 46420, 61248, -26092, -59888, -13764, 3004, -64640, 2232, 28364, -72416, 50640, -16432, 65616, -14856, -16932, 33544, -6300, -28016, 86724, 39744, 40496, 28508, -37944, -40632, 1976, 4374, -20680, -57120, -43008, -51508, -58096, -14184, 59640, 9480, 30564, 29256, -77416, 2652, 107024, 9488, -10128, -18856, 31744, -27648, -146328, -82352, 53448, -29576, 52188, -33048, -4680, -7112, 5616, -13676, 89696, 25296, 41088, 11368, 16224, 43104, -1904, 21888, 820, -17576, 21504, -24756, 17056, -17040, 5168, 92008, 23760, 97184, -29272, -8904, 4536, 68360, -11076, 44920, 162864, -11448, -82044, -6000, 38952, 21176, -114956, 13392, 5184, 47872, 756, -4212, 5048, 10224, 103840, 6380, -39120, -60448, 26060, 12384, 81500, 18304, 10368, -64832, 34320, 28104, -51944, -116436, -2916, 33240, 14688, -19692, -22520, 20808, 38688, 42032, -64432, 3744, -38136, -44088, -35412, 22744, 22768, -87936, 61424, -96432, 19944, 94580, 52816, -38640, -13884, -85324, -55632, 73024, -2368, 12852, -78984, 75328, -13392, -28038, -75936, 14520, 2576, 2704, -12132, -45632, 49560, -15024, -145640, 39056, -8556, -47068, -28880, -40104, 60856, 37620, -17004, 55600, 46512, 28104, 26068, 32416, 7560, -168304, 52400, -32352, -54768, -2336, 39288, 7592, -3320, 25380, -104992, 58864, -5424, -14220, -36896, 52632, -4352, 51988, -50796, 6064, -15704, 15360, -107288, 30040, -21576, 25152, -62232, -7776, -1800, -85304, 2748, -100512, -20216, 2184, -24244, -16192, -34200, -9512, -88176, -37728, 65128, -39184, 24000, 30752, 39324, -5220, 23088, 147096, -51096, 38952, -7856, 25920, 42232, -26288, -3024, 3176, -53792, 39228, 31228, -23816, -14208, 71756, 9672, -13032, -5456, -18104, -4944, 8088, 20664, -13032, -53096, 28576, -7020, -98820, 55152, 48264, 42320, 86968, 97296, 113408, 97812, -216, 115056, -30608, 30768, -52, -45120, 37128, -28112, 1156, -4392, 22368, 52724, 25536, 13924, 65656, -2916, 13054, 13520, 7128, 145384, -43040, -7392, 83152, 15720, -2904, -65320, 56624, 972, 102944, -90784, 10764, 45728, -125888, -30912, 100000, -12412, -9684, -63672, 47296, -1380, -147384, 39392, 37128, 17576, -47584, -48816, -93384, -61600, -16044, 96784, -47408, -15036, 6964, -64744, 20520, -6344], "hecke_cutter_primes": [2], "level_primes": [3, 13], "relative_dim": 6, "hecke_orbit_code": 67108903, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [2, 1, 0, 3], "newforms": ["39.4.a.a", "39.4.a.b", "39.4.a.c"], "oldspaces": [[13, 1, 1, 2]]}