# Stored data for newspace 1089.3.ba, downloaded from the LMFDB on 24 April 2024. {"label": "1089.3.ba", "level": 1089, "weight": 3, "char_conductor": 121, "char_degree": 40, "char_parity": -1, "sturm_bound": 396, "dim": 4360, "eis_dim": 320, "eis_new_dim": 80, "cusp_dim": 10400, "mf_dim": 10720, "char_order": 110, "char_orbit_label": "ba", "char_is_real": false, "Nk2": 9801, "analytic_conductor": 29.673100788836333, "level_radical": 33, "mf_new_dim": 4440, "char_values": [1089, 110, [848, 244], [110, 83]], "trace_display": [39, 0, 39, -54], "traces": [4360, 39, 0, -251, 39, 0, -54, 19, 0, 44, 90, 0, -35, 72, 0, 485, 34, 0, -69, 86, 0, -53, -72, 0, 520, 100, 0, 116, 164, 0, -107, 44, 0, 42, -196, 0, -160, -496, 0, -475, -156, 0, -44, -281, 0, 246, -70, 0, -873, -815, 0, 240, 832, 0, -88, 575, 0, 399, 174, 0, -174, -321, 0, -1567, 275, 0, -203, -136, 0, -108, -433, 0, 462, -956, 0, -1265, 246, 0, 658, 873, 0, 129, 79, 0, 130, 893, 0, -831, 383, 0, -795, 1730, 0, -855, 110, 0, 93, -1628, 0, 4936, 920, 0, -2238, 3328, 0, -3738, 2576, 0, 2904, 2162, 0, -4695, 666, 0, -365, 2801, 0, 1730, -12, 0, 1060, 132, 0, 2243, -459, 0, -572, -3560, 0, -149, -2024, 0, -1356, -2647, 0, -7401, -2966, 0, 2739, -4239, 0, 3036, -2229, 0, 312, -1098, 0, 2085, -496, 0, -1066, 71, 0, -2412, 484, 0, 481, 511, 0, -1954, -125, 0, -336, -1221, 0, 1262, -2153, 0, -1324, 2331, 0, 1742, -211, 0, 1595, -841, 0, -517, 3243, 0, -1217, -789, 0, 108, -143, 0, -2649, 3988, 0, -1030, -331, 0, 485, -1655, 0, 3733, 3817, 0, -607, -5082, 0, 1949, -1082, 0, 5080, 5129, 0, -3278, 1120, 0, -163, 2440, 0, 8540, 5015, 0, 5584, 3954, 0, 12612, -4080, 0, 7389, 5172, 0, 12428, 5396, 0, 3502, 7579, 0, -1221, 4290, 0, 3718, 9118, 0, -946, 3105, 0, 0, -6385, 0, 178, -464, 0, -2102, -7163, 0, -3527, -4684, 0, -4621, 3471, 0, -8739, -1732, 0, -4972, -14225, 0, -9214, -4928, 0, -2220, -12347, 0, -11850, -6525, 0, -5824, -6694, 0, -3784, -405, 0, -2840, -2429, 0, -2337, 193, 0, -2247, -1916, 0, 4526, -4252, 0, -5619, -6248, 0, -2311, -1770, 0, -4409, -8074, 0, -2227, 2855, 0, -1738, 7965, 0, 10399, 1124, 0, 2233, 15075, 0, 520, 3106, 0, -197, -825, 0, -1175, 2206, 0, 2638, 4241, 0, 812, -5987, 0, 3007, 1657, 0, -10947, -3036, 0, -2993, -14997, 0, -8988, -5381, 0, -5303, -19100, 0, -10472, -11186, 0, -2075, -28875, 0, -10951, -8886, 0, -8208, -18899, 0, -11301, -371, 0, -6511, -4506, 0, -8258, 618, 0, -4442, 0, 0, 9652, 400, 0, -4139, 13412, 0, 17394, 2606, 0, 11022, 9657, 0, -989, 6632, 0, 2050, 25655, 0, -2303, 15300, 0, 12199, 5115, 0, 8745, 13444, 0, 11579, 28089, 0, 16401, 15400, 0, -2156, 22449, 0, 20937, 3617, 0, 1825, -15619, 0, 11440, -4978, 0, -6758, -1240, 0, 4436, -2455, 0, -4538, 7210, 0, -845, 765, 0, -3910, -1678, 0, -508, -3515, 0, 3553, 5841, 0, -7356, -4730, 0, 7466, -2376, 0, 105, 3737, 0, -3619, 13815, 0, -7658, 12116, 0, -13745, 28296, 0, 1095, 25075, 0, -10625, -2308, 0, -23559, 24296, 0, 26150, 17701, 0, -27159, 7348, 0, -1087, 5012, 0, 5364, 10384, 0, -14737, 16014, 0, -11528, 4845, 0, 3875, 8502, 0, -6405, 11146, 0, -1655, -3969, 0, 9293, -14890, 0, 5686, 2534, 0, 6310, -10947, 0, 4153, -13585, 0, -11730, 15, 0, 13626, -30073, 0, -13772, -5930, 0, 26103, -16292, 0, 24550, -7392, 0, -11749, -27329, 0, 41694, -21663, 0, 17229, -498, 0, -8757, -23018, 0, 23017, -21870, 0, 32272, -22121, 0, -6528, -11952, 0, 1481, -1207, 0, -3596, 1916, 0, 1001, -3721, 0, -12157, 8955, 0, 10756, -9198, 0, 1453, 11518, 0, -13080, 11026, 0, -14716, -1030, 0, 1770, 8340, 0, -1560, 38335, 0, -6251, 13489, 0, 7425, -4390, 0, 10566, 12332, 0, 21890, 18567, 0, 23878, 16794, 0, 7670, 22535, 0, 6588, 5973, 0, 15765, -13785, 0, -4410, -1363, 0, 10804, 20357, 0, 17338, 462, 0, -8452, 9855, 0, 3013, 1079, 0, 7752, -225, 0, 0, -13388, 0, 2006, -19374, 0, -1578, -8758, 0, -2784, -11130, 0, -7653, 12456, 0, 4864, -7289, 0, -4383, -4994, 0, -6327, -6886, 0, -13654, -2332, 0, -2085, -26825, 0, -24676, -18473, 0, -17468, -2063, 0, -23618, -15970, 0, -7548, -28346, 0, 4570, -16819, 0, -11720, -7475, 0, -13429, -5439, 0, -5044, 3422, 0, -1019, -4763, 0, -5072, -956, 0, -11362, -8961, 0, -6882, -11185, 0, -14025, 14892, 0, -10882, -17033, 0, -23183, -34806, 0, -23715, -37717, 0, -47857, 13922, 0, -39819, -62922, 0, -31542, -21622, 0, -34487, -69025, 0, -10527, -30560, 0, -21481, -32016, 0, -30372, -19829, 0, -16126, -67642, 0, -18653, -40297, 0, -11657, -39622, 0, -30263, -29719, 0, 375, -4692, 0, 3659, 6785, 0, -5344, -8305, 0, -12362, 0, 0, 1770, -14385, 0, 18632, -1091, 0, 14324, 14785, 0, 26169, 17216, 0, 10453, 14535, 0, 40002, 19468, 0, -1172, 31971, 0, 23802, 683, 0, 12915, 89069, 0, 47480, 52040, 0, 18402, 53856, 0, -6980, 36383, 0, 27622, 67866, 0, 27375, 20050, 0, 19602, 52679, 0, 64508, 17579, 0, 7887, 49823, 0, 20710, 30965, 0, -5273, 5540, 0, -16930, -924, 0, 24636, 3135, 0, -26612, 17281, 0, -9650, 9964, 0, 3218, 15113, 0, -3888, 49802, 0, -32824, 19633, 0, 20857, 52674, 0, -12280, -4784, 0, -20727, 49698, 0, 51548, 12640, 0, -3544, 17453, 0, -36575, 3519, 0, 14456, 40524, 0, 16517, -22236, 0, 2806, 5003, 0, 16229, 13372, 0, -5610, -10184, 0, 5080, -11442, 0, -6089, 22020, 0, -21785, -5386, 0, 19406, -51306, 0, -9232, -579, 0, 3048, -36328, 0, 20484, -9284, 0, -7694, 16705, 0, -14900, -18284, 0, 20452, -25275, 0, -4169, 17041, 0, -9139, -4645, 0, 23977, -16726, 0, 8096, -4208, 0, 36888, 9747, 0, 12965, -52793, 0, -25684, -5900, 0, 38056, -70818, 0, -7068, -15359, 0, -30035, -37103, 0, 36364, -6997, 0, 24816, -32652, 0, -7092, 6489, 0, 10784, 3526, 0, 33505, 30491, 0, 6966, 22156, 0, 70806, 31289, 0, 25323, 84446, 0, 7429, 82467, 0, -14261, 64787, 0, 65633, 374, 0, 26931, 55682, 0, -16357, 48010, 0, 29379, 73302, 0, 5937, 15945, 0, 46475, 24061, 0, 33476, -10300, 0, 23992, 6353, 0, -1893, 6867, 0, 14747, -17413, 0, 38935, 10695, 0, 22, 22294, 0, -25504, -4405, 0, 0, -31526, 0, 24804, -9882, 0, -13283, -6509, 0, -18144, -10862, 0, -26284, 26301, 0, -11396, -21676, 0, 1627, -44578, 0, -30148, -28402, 0, 24415, 5712, 0, -66560, -46955, 0, -9958, -28916, 0, -72963, -17351, 0, -44116, -44309, 0, -43812, -37720, 0, -14034, -93899, 0, -17674, -14196, 0, -54231, -54916, 0, -37655, -22551, 0, -36328, -57981, 0, 38268, -25580, 0, 4786, -71082, 0, -11666, -35295, 0, -3377, -10337, 0, 82899, -23820, 0, 8355, -58804, 0, -15455, -13405, 0, -12061, 26888, 0, 23998, -61893, 0, 35751, -70282, 0, 12758, -17259, 0, -5383, -51850, 0, 40338, -11152, 0, 6950, -64846, 0, -10153, -36987, 0, -3470, -15358, 0, -783, 3878, 0, 8485, -54484, 0, 15911, 9917, 0, 12241, -4718, 0, 2099, -29955, 0, -15044, 0, 0, 42312, -10995, 0, -7209, -26921, 0, -10898, -5687, 0, -11088, 78789, 0, -19504, -28163, 0, -4206, 45535, 0, 28204, 15136, 0, -26314, -24483, 0, 8927, 55252, 0, -4884, 51754, 0, -91961, 38874, 0, 15216, 117697, 0, -11093, 56728, 0, -43270, 1752, 0, -1914, 35502, 0, -14686, 75953, 0, -31601, 18546, 0, -27642, 74368, 0, 41202, -2789, 0, -49660, 89709, 0, -104815, 59625, 0, 43384, 116831, 0, -18312, 33508, 0, -62590, 137849, 0, -12262, 61286, 0, -51700, 57918, 0, -116810, 62145, 0, 34907, 41203, 0, -82210, 41297, 0, -48362, 16736, 0, 35337, 28960, 0, -43235, 23097, 0, -12547, 15158, 0, 14925, -14825, 0, -36303, 683, 0, -11974, 34002, 0, 27819, -13502, 0, -8790, -11244, 0, -3295, 7695, 0, 3525, -16431, 0, 22465, -60022, 0, 26820, -30255, 0, -2120, -34413, 0, 16683, -21505, 0, -9341, -17550, 0, -27905, -28578, 0, 83619, -16570, 0, 16478, -34854, 0, -64331, -2671, 0, 43365, -75477, 0, 28047, -8997, 0, -17848, -12696, 0, 116893, -41471, 0, 46413, -96355, 0, -17542, -66264, 0, 29703, -55206, 0, 106920, -24518, 0, -47662, -22260, 0, 131945, -30258, 0, 71856, -5767, 0, -18520, -3937, 0, 51744, -1018, 0, 67252, 26622, 0, 12756, 99204, 0, 13628, 62626, 0, 38240, 63239, 0, 4254, 51702, 0, 32766, -4463, 0, 23642, 17368, 0, 26334, 6832, 0, 38731, 16187, 0, 4648, 44375, 0, -27453, -4225, 0, 2539, 9359, 0, 93287, -267, 0, 13991, 21765, 0, 36700, -15114, 0, -7066, 23125, 0, -10407, 1503, 0, 29296, 12215, 0, 0, -21180, 0, -19119, -20431, 0, -7113, -9872, 0, 7591, -29679, 0, -26914, 11247, 0, 5685, 7152, 0, -79532, -11849, 0, -7335, -54879, 0, -23954, 15838, 0, -47510, -27277, 0, -45739, 13469, 0, -48455, -1371, 0, -50122, -30580, 0, -34785, -16063, 0, 26026, -75952, 0, -30219, -82637, 0, -75922, -77639, 0, -50582, -102744, 0, -104686, -109549, 0, -19813, -132465, 0, -106922, -99090, 0, -54296, -157771, 0, -147939, -99055, 0, -30560, -208164, 0, -134974, -36412, 0, -63983, -88516, 0, -95928, 47342, 0, -109106, -99541, 0, -27448, -121565, 0, -11439, -66803, 0, -9364, -99167, 0, -25840, -29912, 0, -66893, -62958, 0, -38181, -108049, 0, -3962, -45994, 0, -33560, -32747, 0, -32319, -54134, 0, -11740, 8510, 0, -36842, -18582, 0, -16691, -52994, 0, 4482, 0, 0, 14408, -71043, 0, 21359, -6479, 0, 54374, 50130, 0, 1254, 73268, 0, 11339, 34082, 0, 49668, 44477, 0, 23639, 60408, 0, 30986, -18695, 0, 28841, 150862, 0, 68175, 81986, 0, 61947, 102960, 0, 10632, 52172, 0, 28073, 157043, 0, 121485, 45439, 0, 143176, 138808, 0, 99694, 91538, 0, 121855, 103384, 0, -2500, 191802, 0, 16842, -45856, 0, 111958, 113985, 0, -5297, 180711, 0, 24882, 144683, 0, -36754, 184765, 0, -18876, 152391, 0, -50147, 183782, 0, 80575, 53734, 0, -60562, 136884, 0, -9908, -34343, 0, 16891, 25700, 0, -70748, 17283, 0, -43800, 30647, 0, 64685, -1022, 0, -40833, 37631, 0, -29307, 120, 0, 36308, 14794, 0, -55297, 30838, 0, 27863, -43713, 0, 9295, -24894, 0, -6102, 747, 0, -13995, 16282, 0, 10554, -54758, 0, 39895, -28282, 0, -8592, -58540, 0, 2045, -15708, 0, -12576, 55053, 0, 62704, -18701, 0, -43322, -6745, 0, 6578, 2323, 0, 22817, -2061, 0, 21106, -20845, 0, 32862, 22853, 0, 35264, 10920, 0, -58680, -47741, 0, 68602, -14815, 0, 124345, -107811, 0, 6330, -6624, 0, 66570, 54342, 0, 86964, 18307, 0, -121, -19869, 0, 182360, 9465, 0, 89405, 31634, 0, 1910, 31053, 0, 74957, 53625, 0, 116775, 47605, 0, 24537, 109996, 0, 102825, 79673, 0, -29438, 94333, 0, 72228, -1762, 0, 77527, 59726, 0, 159599, 31853, 0, 29565, 116087, 0, 45243, 41045, 0, 40631, 55186, 0, 71680, -30527, 0, 36823, 19095, 0, -33177, 2971, 0, 18855, -54296, 0, -40140, 8015, 0, 44117, 17257, 0, 75025, -7100, 0, 0, -70223, 0, -21933, -14781, 0, 30267, -75497, 0, -28391, -14039, 0, -44817, 17871, 0, -47335, -19784, 0, -65057, -49923, 0, -56921, -42735, 0, 6600, 4782, 0, -109550, -41422, 0, -68109, -13720, 0, 2013, -29722, 0, -80232, -103413, 0, -121581, -81453, 0, -59981, -301276, 0, -167653, -27320, 0, -610, -175055, 0, -139046, -85342, 0, -113214, -229251, 0, 3895, -85941, 0, -55143, -215992, 0, -212004, -131834, 0, -105490, -202086, 0, -224195, -82514, 0, -108785, -89107, 0, -255936, -67209, 0, -74072, 145864, 0, -115856, -90757, 0, -49001, -100316, 0, -117016, -41767, 0, -8317, -137904, 0, -28955, -18381, 0, -21017, -86375, 0, -126698, -52066, 0, 5259, -58117, 0, -18990, 25426, 0, -4717, -65086, 0, 24754, 18476, 0, 34674, -29763, 0, 6232, -44544, 0, 58149, 0, 0, 22334, -56918, 0, 27366, -92114, 0, 70003, 24191, 0, 36333, 79426, 0, 20660, -13830, 0, 58257, 124900, 0, 72600, 42943, 0, 10426, -27140, 0, 30946, 80813, 0, 39690, 75214, 0, -14262, 105083, 0, -55616, 175099, 0, 52593, 123793, 0, -36465, 39067, 0, 188089, 93914, 0, -13918, 217883, 0, -439, 113908, 0, 53242, 226604, 0, -12290, -54896, 0, -29283, 124880, 0, 197002, 187640, 0, -125071, 376497, 0, -8827, 120215, 0, 128259, 240303, 0, -35822, 139602, 0, -95436, 205378, 0, 72346, 174358, 0, -51710, 94295, 0, -53840, 28236, 0, 55572, 49322, 0, -72982, 77502, 0, -64035, -62057, 0, 49811, 58905, 0, 40268, -2304, 0, -27256, 25992, 0, 3974, 33554, 0, -48928, -19768, 0, -44645, -76359, 0, -34135, 2856, 0, 8015, 19140, 0, 79597, -89096, 0, -44381, -35116, 0, 32008, -34605, 0, 21954, -14564, 0, 3500, -11589, 0, 30447, -99839, 0, 32874, -59841, 0, -21549, -15541, 0, -33217, -13509, 0, 61403, -59027, 0, -43446, -39506, 0, 101089, -11327, 0, 171796, -21393, 0, 4079, 5110, 0, 148749, -115280, 0, 27503, -150827, 0, 2950, -42887, 0, 127437, 54275, 0, 235070, -83971, 0, -69095, -39926, 0, 173417, -78403, 0, 141436, 116232], "level_primes": [3, 11], "relative_dim": 109, "hecke_orbit_code": 1786756727873, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 27, "prim_orbit_index": 8, "conrey_index": 19, "newforms": [], "oldspaces": [[121, 8, 2, 3], [363, 15, 7, 2]]}