# Stored data for newspace 847.4.a, downloaded from the LMFDB on 25 January 2026. {"ALdims": [41, 40, 37, 45], "ALdims_eis_new": [0, 0, 0, 0], "ALdims_eis_old": [6, 6, 6, 6], "ALdims_old": [25, 21, 23, 20], "Nk2": 13552, "analytic_conductor": 49.9746177748623, "char_conductor": 1, "char_degree": 1, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [847, 1, [122, 365], [1, 1]], "conrey_index": 1, "cusp_dim": 252, "dim": 163, "eis_dim": 24, "eis_new_dim": 0, "hecke_cutter_primes": [2], "hecke_orbit_code": 67109711, "hecke_orbit_dims": [1, 1, 2, 4, 4, 5, 7, 7, 8, 8, 8, 8, 14, 14, 16, 16, 20, 20], "label": "847.4.a", "level": 847, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [7, 11], "level_radical": 77, "mf_dim": 276, "mf_new_dim": 163, "num_forms": 18, "plus_dim": 86, "prim_orbit_index": 1, "relative_dim": 163, "sturm_bound": 352, "trace_bound": 2, "trace_display": [5, 2, 0, 7], "traces": [163, 5, 2, 631, 0, -38, 7, 45, 1463, 128, 0, 142, 140, -63, -176, 2559, -206, 37, 22, 12, -14, 0, -300, 226, 4349, 616, -364, -49, 470, 192, 516, 245, 0, 374, 168, 5175, -502, 822, 536, 144, 2, -14, -424, 0, -112, 808, -876, 2382, 7987, 71, 524, 8, 302, -3364, 0, -567, -2892, -146, 1118, 2780, 328, -184, 791, 10307, -344, 0, -1292, -1434, -728, -392, -2532, 1757, 1062, -46, -3178, 742, 0, 5084, 344, -2896, 12471, -1662, -690, -882, 664, 708, -988, 0, 2878, 11176, 308, -1516, -5280, -1240, 1184, 250, 114, 245, 0, 14125, -1712, 52, -2340, 12392, 1960, 2406, 2692, 9884, 2774, 0, -1324, -1729, -990, -4304, 1576, 766, 8660, -9930, -1666, 4816, 0, -19648, 2956, 8132, -8940, -4431, -576, 2301, 592, -15428, -1930, 0, -70, -980, 2752, 1178, -1342, 944, -9054, 3584, -72, -1728, 0, 19783, -2616, -14846, 98, -15710, 4754, -11050, -9520, -2134, -22, 0, 2520, -22424, 2952, 11160, -7284, -11392, 1680, 4289, 1448, -9794, 0, 1190, 12980, -1106, 22885, -14212, -2778, -9448, 3484, 2476, 1421, 0, 9660, -6222, -12612, -8484, 17196, 7168, -3432, 26424, 27516, 18120, 0, -11948, -980, 6248, -2388, 12022, -630, 3934, -33496, 30919, -590, 0, 276, 12095, 4328, 8932, -5250, 31220, 15608, 9096, -21404, 2224, 0, 10528, 1348, -17556, -6168, -20550, 784, -21268, -2884, -42300, -2988, 0, 20212, -18532, -4784, -17969, 24369, 5526, 774, -37220, 17020, 11520, 0, -3336, -6346, 944, 4000, 4798, -17944, 3626, -2400, 24252, -21366, 0, -63446, 30796, 0, -49084, -12024, -31104, -5588, 30520, -62410, 12103, 0, -4502, 3832, 53727, -16370, -11728, -1274, 13952, 31038, 32474, 7944, 0, 30164, -2030, -12544, -27018, 5596, -19088, -5656, -43602, -10472, 23338, 0, -14864, 14114, -34998, 34484, -15540, 9566, 22200, 13614, -31218, -7104, 0, 3038, 7733, 56089, 9820, -28152, 37970, -22640, -1862, -40608, -13326, 0, -11294, -14368, -29330, -392, 8086, -29120, 134, -13152, 20442, -8114, 0, -9448, -37640, 14664, 31652, 1818, 500, 11256, -9760, 87090, -71212, 0, 9556, 1696, 19250, 18128, 63083, -22388, 16800, 21436, -20906, 6300, 0, 6280, -45642, -102038, 13644, -61520, 12726, 10298, 21183, -13700, 39144, 0, 17490, 343, -4226, -80392, 84904, 8896, -26620, -8300, -24829, 39120, 0, -83954, 60036, -3032, 33170, -6524, 62412, -15384, 115448, 32087, -59516, 0, 3892, 7592, -8704, -3400, 25390, 2650, 18272, -5390, -100020, -40214, 0, -4856, -22576, 63708, 20748, -37928, -24520, 26912, -43408, 2108, 61874, 0, 63962, 10792, 3634, -14326, 35452, 21496, 2205, -49852, 78592, -12264, 0, 20372, 56336, -7028, 121969, -23494, -110072, -6392, -8244, -85192, 29666, 0, -21564, -44630, 95664, 41328, -2792, 1022, -24040, 42200, 175964, 8380, 0, -3070, 21504, 13870, 46958, 36532, 46566, 6110, -27880, -20272, 51420, 0, -42900, 14008, 6952, 6826, -2212, 8952, -8922, 71208, 24512, -27432, 0, 71687, 52696, 28356, -84268, 75764, -79340, 48348, -36785, -44570, -71097, 0, 90236, 33856, -154226, 1120, -198072, -39078, -23756, -24800, -155964, 27500, 0, 24540, -39362, 5928, -158802, 108578, 74776, -3556, -119064, 43864, -169698, 0, -235216, -19726, -18774, -2330, 19964, -3492, -24928, 22504, 12958, 21560, 0, -222060, -116290, -31636, -215212, -20296, 6272, -11164, 39636, -46688, 130736, 0, -85548, 28280, 64924, -31692, -110584, 43008, 50994, 14648, -77959, 74984, 0, -11930, 4728, -72728, -170228, -2310, -28027, 320, 162090, -15304, -105016, 0, 68684, 54120, -168320, 80262, -100766, -20058, 34254, -46634, -210464, -14136, 0, 99227, 20624, 199266, 37618, -103764, -26188, 31048, -56484, 60128, 100300, 0, 53012, -39774, 98844, 103672, -12862, 83664, -38864, -99280, 62866, -156232, 0, 14108, -10256, -23352, 155332, 120216, -109630, -41398, 19808, -76816, 62608, 0, 104238, -124134, -78012, -109316, 42074, 27307, -1296, 32866, 382824, 50392, 0, 102720, 33026, -40708, 125119, -38842, 126751, -72660, 41760, -45262, 118492, 0, -125202, 55848, -52176, 29786, 6958, 29632, -113120, 153484, -66152, 8974, 0, 6160, 118562, 9016, -105084, -29420, -67346, 3382, -49952, 41504, -93480, 0, 63652, -15864, -12522, 34076, 57596, -40184, 43358, -1770, 12474, 22792, 0, 25362, -51848, 30294, 49084, 32584, 72852, 1358, -227224, 185099, -114770, 0, -32440, -32436, 8484, 1948, 202766, -30208, 6070, -100032, -141092, 6860, 0, 38780, -242192, -87094, 214492, -94270, 29176, -78992, 9980, 216324, 269721, 0, 291644, 46200, -22484, 20270, 24740, 24224, 54502, -50322, -73472, 80592, 0, -45944, 16176, 5120, 63302, 27888, 85426, -8616, 262156, -169360, -91936, 0, 31570, 102718, 182660, 43332, -103459, -74308, 55364, -32102, -280264, -77140, 0, 186008, -40850, 9528, -3087, 37856, -139272, 1560, -127072, 132094, -50464, 0, 138768, 98864, -385316, 201392, -447964, 86572, -12523, -123306, -175544, -209436, 0, -10104, -61974, -18872, -336712, 169854, -151992, 143520, 109986, 133376, 107380, 0, -582440, -94216, 223894, -32380, -258884, 10052, 35029, 21044, 434768, 105050, 0, 21044, 97160, 120827, -140296, 80560, 122016, -61672, -22436, -8624, 230728, 0, -498494, 25120, 104832, -36832, -20706, 44544, 52024, 163240, -64986, 25990, 0, -15876, 274528, -41684, -588300, 174236, 38456, -4336, -128940, -84094, -114992, 0, 338888, -24702, -98720, 10374, 117970, -163040, 37128, 21992, -187094, 190226, 0, 285040, -97990, 65060, -11936, 36964, 88478, -16996, -189374, 181388, -517064, 0, 55076, -19184, 125391, 174064, -168908, -188762, -40382, -11432, -122376, 58226, 0, 62848, -190708, 288760, 338316, 160304, -3724, -48976, 205751, 271990, 73950, 0, 83956, 57512, -389508, -34072, 298648, 143858, 19256, 21830, 79156, 144992, 0, -143008, 130884, 68720, 438362, -13972, 271176, -15414, 385468, -181860, -202000, 0, 34678, 47748, -132468, -80696, -22356, 67716, -1864, -10094, -66936, -171096, 0, 12016, 18594, 249316, 92680, 165753, -101290, -36412, -287348, 216668, 80048, 0, -46842, -112532, 384222, -134764, 15232, 79452, -3444, -21128, 18012, -222350, 0, -40806, 29296, -55468, 334282, -95872, -277220, 109000, 151574, 289066, 61544, 0, 98116, -10048, -294742, 33522, 287020, 49392, -51508, 89750, 368784, 48440, 0, 58438, 1813, -117416, 198492, 256424, -40964, -42620, -158644, -73360, 107488, 0, -49700, 73016, -284816, -33912, -157143, 174064, 95162, 156920, -263891, 84396, 0, 80080, 193094, 134460, -148440, -45260, -177146, -71480, -124208, -281056, -162804, 0, 273368, -231568, 442476, 49714, 358532, 41272, 8768, -203492, 225780, 118104, 0, 245594, -25424, -40668, 8002, -67966, 150096, 1078, -280818, 350920, -268370, 0, -273912, 91214, 27300, 115380, -25672, -35384, -12392, 9064, -199162, 23296, 0, -263364, -341528, 6416, -135342, -2924, 57666, 88110, 94998, 391760, 197840, 0, -63184, 37310, 379928, 163811, 462600, 103804, 8638, -60200, -156016, 78584, 0, -606732, 107456, 614418, -428282, -8610, -134648, 138312, 365876, -828742, -96992, 0, 588, 185318, 225988, 309676, -607132, 73544, 17964, -14840, -354372, -114624, 0, 74584, -59576, -596996, 23576, -230064, -112420, 48848, -232884, 204608, 220088], "weight": 4, "weight_parity": 1, "newforms": ["847.4.a.a", "847.4.a.b", "847.4.a.c", "847.4.a.d", "847.4.a.e", "847.4.a.f", "847.4.a.g", "847.4.a.h", "847.4.a.i", "847.4.a.j", "847.4.a.k", "847.4.a.l", "847.4.a.m", "847.4.a.n", "847.4.a.o", "847.4.a.p", "847.4.a.q", "847.4.a.r"], "oldspaces": [[7, 1, 1, 3], [11, 1, 1, 4], [77, 1, 1, 2], [121, 1, 1, 2]]}