# Stored data for newspace 441.4.bn, downloaded from the LMFDB on 29 March 2024. {"label": "441.4.bn", "level": 441, "weight": 4, "char_conductor": 441, "char_degree": 12, "char_parity": 1, "sturm_bound": 224, "dim": 1992, "eis_dim": 48, "eis_new_dim": 48, "cusp_dim": 1992, "mf_dim": 2040, "char_order": 42, "char_orbit_label": "bn", "char_is_real": false, "Nk2": 7056, "analytic_conductor": 26.019842312531612, "level_radical": 21, "mf_new_dim": 2040, "char_values": [441, 42, [344, 199], [35, 29]], "trace_display": [-21, -11, -18, -12], "traces": [1992, -21, -11, 1307, -18, -10, -12, 0, -83, -22, -18, 570, 29, -600, 59, -5141, 72, 39, -36, -45, 67, -21, 108, 100, 3942, 96, -362, 128, 111, 14, 0, -21, -11, -31, -765, 130, 1066, 684, -180, -427, -639, 1304, -89, -795, -3833, 3234, -1005, 1569, 72, 675, -95, 2492, -1092, 2371, -2170, -87, 1871, 3252, -1515, 1389, 2933, 3072, 622, 19548, -21, -5676, 576, -3525, -4469, 98, -9702, -1698, -22, 1194, -6911, -759, 4422, -10119, -180, 4239, -8455, -46, -1851, 8567, -130, 4140, -2755, 616, 10014, 11140, 1112, -6045, -11279, -7, -21, 1450, 792, -5667, 9845, -14927, 2190, -21678, 1382, -1269, -8055, 1578, -2646, 1746, 142, 15813, -10842, -2684, 5823, -9790, -4, -1032, -20184, -28, -4332, -8519, -17674, 42360, -14126, -2415, 618, -3804, -2204, 0, -4278, -2569, 30198, -22751, 5016, -168, -10469, -2283, 276, -42418, 4631, -19458, -11841, -21, 7611, -30918, -10285, -456, 6126, 1567, -15096, -21166, -1478, 56052, -5618, -6801, -7407, 14237, -5467, -2961, -10509, 2715, 19737, 27471, 3292, 18093, 19277, 5658, 30129, 36213, -8799, 79233, 20890, 6614, 21897, 27160, -11742, -54660, 5408, 27144, 2100, 24315, -28, -11736, 75101, 3640, -31455, -19393, -7, -4416, -20043, -9786, -21, -37210, -14789, -10020, 16854, 5996, 0, -39137, -1660, -8634, 6913, -9613, 29712, 44824, -8443, -35550, -11295, 9233, -21249, 34532, 289, 33567, 4320, -2782, -11415, 53876, 17964, -8061, -9003, -7, -21, 18187, -8569, 82170, -9278, 1886, 21702, 58624, -13594, 11784, 12887, 23187, -19068, -13795, -3934, 29052, 43299, -28072, 15189, 30628, 8618, 17721, -63811, 0, 46572, -36698, -35751, -66093, 34583, -46613, -41340, -54543, 846, -21, 11677, -98093, -14970, 73950, 11347, -131712, 30058, -19471, 61638, -36399, 6746, 44019, 72288, -11465, -81228, 146454, -11992, 124230, -27933, -2541, 31233, 30492, 4738, -114075, -1211, 1982, -6735, 43613, -7, 70539, 7911, 8012, 3258, -95949, 35676, -190668, -42722, -8796, -13896, -196547, -26222, -44895, -32203, 4242, -85575, -196627, -43142, 8112, -127481, 27516, 46626, -131188, 9968, -32031, -5889, -29421, -56739, -65390, 0, 40002, 31227, -35930, -20895, -7261, 14769, -21951, -33098, 6426, 156702, 80301, 9435, 157182, 118703, -110707, 43464, 5222, 9235, 124650, 12417, 36512, -56349, 147945, 11041, 54411, 60438, -3063, 198219, -77838, -11064, -21759, 72495, -66787, -21, 167505, 14591, 10788, 31838, -9688, 27810, 101924, 6587, -185601, 109768, -15999, 93618, -273785, 283668, 2442, -124754, -19243, 30852, 133389, -10912, -143826, -59135, -28, -78678, 5994, -20322, -134784, -175210, -102823, -134076, -2306, -16190, -144060, -79480, -16575, -23952, -165906, -9979, -152145, 158510, -115737, -78978, 309917, -11613, 106698, -88897, 29897, -28539, 81168, -10696, 78288, 38624, 117307, -33282, -180063, 104700, -11724, -143129, 28254, 137196, -83595, 27041, 0, -47322, 8219, -105849, -95235, 13079, 23055, -80134, -10386, 65415, 340891, 13687, -107187, -121542, -101930, 143013, -34890, 7604, 19980, 167065, -12666, -99708, 443795, 29708, 141747, -84585, -72682, 80853, 138908, -36799, 261024, 123811, -29576, 109347, 129592, 8945, 184965, 141173, 15144, 0, 140126, -14455, 146829, 34329, -78837, -32229, -116392, -35873, 240114, -18655, 140907, 94605, -139497, -1307, 52779, 9930, 16671, -26358, -44576, -3444, 32361, 51490, 0, -129381, -227582, 79359, 376506, -73186, -4428, -109290, -325612, 15773, -102792, -213119, 81764, -76899, 269744, -254882, -398775, 120666, 19664, 11304, -147460, -60859, 99222, -192997, 291480, -123231, 6208, -14708, -291717, -166880, -182203, 110958, -93820, 21146, -26481, 250106, 20506, -31506, -92881, -23530, 272559, -164421, 119606, -104598, -8353, -18373, 123282, -34899, 27748, 61896, -71494, -86440, 121101, 65978, 208586, 129075, 397786, 44192, -622311, -131005, 54345, -62553, -369330, 130781, -10773, 135155, 304320, -150657, 385514, -10064, 165513, 191998, 49956, 556170, 440934, -31043, -158652, 516163, -42035, -73728, 184303, -30048, -5559, 194558, 3494, -120036, 387948, -81718, 248508, -36884, 25050, 62679, -94044, -7, -236886, -270651, -83699, 0, -28278, -51245, -482622, -196579, -51187, 0, -543094, -81040, -205176, -156373, -7223, -343584, 184275, 1287, -329142, -189987, 116679, -375156, -249099, -23022, -562422, 168124, -81688, -152316, -41749, 25481, -11043, 19557, -7, -344001, -6932, 46163, 385575, 115351, 41018, -511161, -138306, 72072, -290760, 49902, -169099, 220623, 55903, -10778, 15573, -158570, 128605, -416403, -115780, 185850, 300726, 155867, -28, -174645, -103430, 60513, 161148, 199818, -142135, -34632, -358192, 71758, -10773, 55218, 52851, -155871, -306351, -24184, 0, 227906, -14749, -91578, -487155, 289619, 216663, -309516, 105846, 125334, 229926, -39334, -59775, 94697, 40907, 75960, -149923, 37432, -66225, 584998, -330748, -294981, 634801, -7, 457296, 78299, 282039, -59076, -589197, 12785, 176112, 632267, 283633, 87897, -370619, 25867, 440073, -15685, 114443, 441477, 392636, 69090, 647997, 4560, 307077, 74718, -1170487, 0, 450492, 213855, 104792, 111183, 318997, -7, -657585, -270212, 34992, 260169, -179908, 38549, -65202, 72194, -130220, -586530, -464250, -175410, 167541, 61233, 135512, 175908, 219351, -122435, -427308, 174137, 152850, -89469, 209957, 143132, 192936, -245703, 26121, 6300, 603443, 24797, -136164, -5783, 69447, 488019, -92416, 68789, 582906, 141166, -424809, 127359, -601893, -97576, -316203, -310949, 101206, -106989, -79918, -26780, -521307, -610346, 434715, 159879, -380811, -14728, 27483, -238334, -9401, -142305, -339633, 42622, -454503, -13713, 0, -458436, 620855, 36940, -869232, -686522, -100275, -127314, 420326, 23782, 733824, -58860, -142920, 72516, 169594, -100933, -492036, 51397, -250795, -134604, 143105, 54918, 438540, 208233, 69657, 102045, 117607, -54621, 970290, -109872, 34090, 452304, -305725, 194285, 1323, 395532, 76786, 33732, 643251, -8371, 201141, 227755, -172861, -47049, -386394, 21542, -559482, -331205, 5012, 304008, -237730, 189914, 361476, 153289, 115349, -29442, 656745, -28, -132870, 181036, -6846, -148632, -1268761, 36918, 143736, 294786, -25334, -176421, 59682, 137293, 339528, -248941, 24425, -164346, 580870, 206876, -1106910, 691763, -130509, -290865, -451532, -155737, -456585, 77814, 366299, -354081, -514793, -317299, -509289, -915581, -30626, 498438, -812620, 506, 1073226, 131675, 34384, 0, -359925, 42653, -516744, -273707, 93579, 43782, -232701, -229792, 649725, 492459, -377871, -29064, 678222, 4508, 804735, -58922, 104868, 27, 1110893, -139214, -894246, 683799, -892752, 30213, 164386, -932, 534237, 244195, 18571, 865320, 742636, 12720, 1194186, -352366, -185793, 403842, 2010721, -170309, -2625, 850951, -591553, 392697, 510505, 126464, -147951, 127848, 127239, 962706, 405452, -263016, 1570281, -625913, -313890, 325317, 976963, 28258, -870369, 32969, -419344, -111147, 70093, 0, -1437093, -253562, -164251, 171807, -570889, 357478, 143541, 95650, 9452, -295107, -89961, -82874, -536658, 66519, 545608, -1328307, 1191672, -133614, -1065447, -549013, 758309, 64815, -1146209, 284606, -785664, -33973, -633472, -647385, -492299, -178045, 203055, 203379, -242480, 311619, 1743893, -113522, -31401, -473245, -50391, -97608, -474177, -80266, 306450, -401290, 382049, 559740, -390121, -1212492, 225789, 26099, -31900, 15339, 334773, -190097, 744852, 244522, -395976, -993864, -361637, -603892, 135327, -954090, -469959, 375123, -57532, 92121, -116934, 31432, 88448, -70488, -866386, -121022, 1610748, 487091, -37617, 322731, 878977, 227488, -1172889, 37485, 300540, 170586, 771669, 231674, -77937, 480795, 222628], "level_primes": [3, 7], "relative_dim": 166, "hecke_orbit_code": 2680126702009, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 40, "prim_orbit_index": 40, "conrey_index": 5, "newforms": [], "oldspaces": []}