# Stored data for newspace 90.4.e, downloaded from the LMFDB on 23 April 2024.
{"label": "90.4.e", "level": 90, "weight": 4, "char_conductor": 9, "char_degree": 2, "char_parity": 1, "sturm_bound": 72, "dim": 24, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 100, "mf_dim": 116, "char_order": 3, "char_orbit_label": "e", "char_is_real": false, "trace_bound": 2, "num_forms": 5, "Nk2": 1440, "analytic_conductor": 5.310171900516655, "level_radical": 30, "mf_new_dim": 24, "char_values": [90, 3, [11, 37], [1, 3]], "hecke_orbit_dims": [2, 4, 4, 6, 8], "trace_display": [-4, 2, -10, -24], "traces": [24, -4, 2, -48, -10, 28, -24, 32, 68, 0, -42, -16, 48, -44, 40, -192, 348, -296, -420, -40, 4, 36, 168, 64, -300, 160, 308, 192, 642, 140, -60, -64, 18, -180, 280, -280, -672, -668, -92, 0, 1020, 152, -258, 336, -380, -504, 948, 32, 90, -100, -1446, 192, 1320, -632, 0, -176, 1186, 0, 1398, 160, -1698, 1360, -1544, 1536, -1160, -600, -1950, -696, 1230, -180, -1176, -80, 516, -536, 50, 840, -2520, 2408, 1776, 320, 2948, 2088, -552, -1400, 720, 1636, -3408, 144, -3972, -160, -4008, 672, 1528, -612, -1040, -704, 1038, -2232, -3168, 2400, 1380, 3252, 1848, -320, -2470, 0, 5868, -472, 2892, -1320, -332, -384, -1620, 1532, 0, -5136, 1828, 3384, 6192, 560, -2478, -1064, 7968, -240, 500, 2960, -2184, -256, -1958, 0, -1584, -2904, 4236, -9152, 580, 1440, -10182, -6624, -510, -560, -564, 0, -17928, 32, 3060, 3772, 6852, 1344, 2430, -1100, 4224, 5344, -1950, -7200, -2360, -1808, 3540, 3064, 19392, 0, 16668, 5692, 7752, 4080, 9060, -7308, -9360, -4960, -2484, 4080, -4622, 2064, -2556, -8268, -600, -672, -25260, -2232, -11016, 1720, -1068, -5008, -10388, 1008, -3440, 3944, 630, -7584, 4246, 0, 7560, 128, 13710, 6724, -12100, 360, 39888, 13908, -10176, -400, -914, 144, 21360, 11952, 630, 2608, -6780, -1536, 7914, 520, -4524, -2640, -1092, -6192, 400, -3584, -32880, 808, -26390, 0, -8028, -10048, 2244, 1408, 50, -2160, -20382, -13184, 3378, -5940, 11844, 0, -44124, -19696, 9360, 5592, 41536, 0, 28812, -1280, 2964, 23312, 8882, 13584, -4260, 12336, 4380, -2720, 14784, 0, 27972, -6992, -7632, 5308, 11340, -3072, -21990, 17216, -6132, 9280, 11622, -9936, 21768, 1872, 0, 5456, -38748, -7800, -51348, 6320, -36312, -2784, 68, -12636, -1050, 4080, -8052, 20920, -24416, 1440, -126, 21816, 8112, 2352, -18520, -2664, 47544, 5056, 28284, -10680, -37190, -1032, 7308, 29244, -2340, 4288, 30330, 14112, 16956, 200, 7116, -11624, 1536, 3360, 9580, -18960, 21972, -10080, -18968, 0, 96, -5056, -186, -13088, 560, -14208, -26616, -38496, -16704, -640, 4668, -13824, -39972, 6056, -2400, 7264, 40096, -4176, 15930, -6480, 5304, 4416, -20072, 11736, -4580, 5536, -7890, -15372, 47664, 2880, -27456, -15424, 9168, 6544, 29400, 8280, -34206, 12672, -1410, 2200, 24304, -1152, 18462, -28716, 7920, 7944, -61572, 25920, -36960, 320, 21708, 6928, 15524, 8016, -6080, -5068, 33492, -5376, -30246, -720, -22944, 12832, -11328, 9708, -2000, -2448, 65928, 34400, 11748, -4160, -20330, -8784, 24660, 1792, -10080, -68312, 37624, -8304, 29766, -5600, 13464, 4464, 29220, -7920, 16600, -15720, 42168, -23792, 12380, -4800, 8874, -37996, 16584, -11040, -32570, 30600, -11352, -21360, -24270, -14400, -18966, 7392, -36672, 4860, -360, -1280, 9208, 16308, -15588, -2680, -22740, -49184, -69828, 0, -4350, 34608, -15060, -11736, 65100, -11880, 5496, -3040, 6348, 25592, 24840, -5784, -48684, 20348, 3864, 10560, 21342, 40176, 7470, 26704, -17010, 44596, -12516, -1536, -32724, 7900, -8748, -6480, -7052, -6660, -1540, -784, 19146, 94336, -20832, 0, -16482, 33432, 22116, 10272, 6020, 11268, 66780, 37360, -18876, -15420, -33536, -6768, 15606, -32800, 5250, -49536, 51108, -30384, -6420, -4480, 23280, 1276, 1452, -9912, 9400, -27044, -59856, -4256, -14792, 0, -35910, -32856, -3924, -35536, -28920, 1920, -31836, -94464, 17814, -1000, 24438, 5868, 12768, 7280, 13320, 52224, -55554, 4368, 18318, 8400, 25188, 2048, 6136, 66024, 4000, 28408, 28152, -50824, -21900, 0, 53808, -6792, -197448, -6336, 8650, 16344, 21624, 11328, -48702, 41520, 47046, -33888, 78648, 36264, 0, 18304, 37524, -19368, 64668, 13120, -45492, 7768, 101584, -2880, 13210, -17600, -76398, 81456, -2090, -1800, -24408, -5280, -43860, 28624, -15100, -2040, -9216, 67592, 34728, -2240, -117498, 54792, 27642, 15288, 0, -101480, -14900, 0, -9798, -43160, 4998, 35856, -24156, 23940, -8400, 4352, 100812, -55936, -10964, -6120, -21150, 19208, 27936, -30176, -28060, -55296, -5550, -21672, -29928, -18000, 432, 5376, -98376, -59460, -1440, 9720, -24932, -11232, -25512, 2800, 10686, -57904, 6190, -33792, 41870, 126888, -25728, -10688, -71958, 12240, 116424, -22968, -80160, -7352, 53880, 14400, 54990, -29752, -15342, 18880, 133350, -35136, 75468, 8704, -7500, 17068, 29154, 14160, 53904, 44260, 70896, 12256, 39628, 16272, 31180, 12096, -23508, 168144, -53724, 0, -54036, 44820, 11118, -33336, 28400, 44532, -124872, 32368, 114300, -2000, -94468, -15504, 96420, -23920, -13680, -32640, -58514, -62496, -91560, -42000, 36228, 19672, -49200, -29232, -109960, -160456, -11808, -37440, 80740, 180, -102468, 17408, -14352, 99688, -4750, 19872, -12372, -164712, -22188, -8160, 42726, -34560, -13692, -45896, -13680, 34868, -152888, -4128, -10056, 30120, 24600, 20448, 22932, -75384, 71020, 34656, 36450, -100952, 8430, -2400, 107820, -68752, 169008, -2688, -4290, -13140, 7848, 8280, -18258, 53040, 50752, 17856, 72744, 90168, -60300, 22032, 130824, 13968, 43680, -800, 110976, 47832, 55690, 2136, 16050, -55724, 56100, 40064, 80480, 0, -95346, 19936, 31656, -24608, 3780, 4032, -90156, 178620, 50340, -13760, -98176, -4680, 53664, -31840, 15390, -114608, 174300, -5040, -44022, -7000, -15324, 15168, -225426, 14616, -62360, -71168, -119616, -122732, 115008, 0, -67626, 98312, 69324, -60480, -33120, 3744, 29892, -1024, 12738, -28800, 66000, 54840, -173208, -28972, 3000, 26896, -189520, -21600, -119694, 6560, 31320, -219840, -145896, -2880, 63460, 184752, 66684, -79776, -108756, 0, 21984, -56736, -89400, -11600, -3240, 20352, -35676, 8296, -32256, 3200, 67218, 30312, 4866, 7480, 18450, 135104, 162432, 576, 154812, 49280, -7908, 85440, 236680, -32544, 77620, -24672, 3930, 239752, -39484, -5040, -87198, 84576, -10392, -5216, 17700, -45576, -215112, 118272, 132564, -18420, -2876, 3072, 73770, -54292, -61560, -63312, -98888, -50688, -28428, -25280, -107886, 109216, 68496, -18096, -111300, -122688, 72984, -10560, 125038, -4500, -104676, -30288, 21144, 51848, -79660, 49536, 37368, -271464, -47166, -800, -41790, 16416, -237264, 24448, 34560, 132172, -219280, 65760, -83064, 44400, -95016, -6464, -149456, 45504, -3500, 111904, -99420, -133712, -77508, 0, 117180, -40452, -33828, -32112, 32040, 15552, 84012, -27040, 34314, 43200, 48114, -17952, 80364, 79692, 61020, -2816, 250128, 42300, 264888, 6800, 128448, 146628, 274436, 4320, 71830, -153016, 51834, 163056, 42396, 48960, -125424, 33760, -56124, 13852, 79280, 13512, 176280, 286644, 18264, -23760, -194432, 16128, -35040, -52464, 8400, -266816, -7652, 0, -120144, -118280, 122742, 88248, -104088, 15660, -177240, 13664, 46632, -183088, 62338, -18720, -25254, 71528, -209196, -44736, -121360, -205272, 113094, -159440, -102540, -16700, 11580, 0, 121764, 35376, 0, 115248, -241788, -40608, -73284, 2560, -88884, -215584, -198282, -23712, -5300, 268704, 32232, -46624, -212730, -20880, 304488, -69352, 135096, -14792, 13600, -27168, -25050, 3344, 44496, 34080, 278746, -11304, 44124, 20112, -37800, 142464, 171852, 17520, 84888, 106560, -222000, -10880, 234760, -40824, 67360, -8664, -15828, 306856, -71504, 0], "hecke_cutter_primes": [7], "level_primes": [2, 3, 5], "relative_dim": 12, "hecke_orbit_code": 274945015898, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 5, "prim_orbit_index": 3, "conrey_index": 31, "newforms": ["90.4.e.a", "90.4.e.b", "90.4.e.c", "90.4.e.d", "90.4.e.e"], "oldspaces": [[9, 3, 4, 4], [18, 3, 7, 2]]}