# Stored data for newspace 552.2.j, downloaded from the LMFDB on 25 April 2024. {"label": "552.2.j", "level": 552, "weight": 2, "char_conductor": 24, "char_degree": 1, "char_parity": 1, "sturm_bound": 192, "dim": 88, "eis_dim": 8, "eis_new_dim": 0, "cusp_dim": 92, "mf_dim": 100, "char_order": 2, "char_orbit_label": "j", "char_is_real": true, "trace_bound": 5, "num_forms": 4, "Nk2": 2208, "analytic_conductor": 4.407742191574677, "level_radical": 138, "mf_new_dim": 88, "char_values": [552, 2, [415, 277, 185, 97], [1, 1, 1, 2]], "hecke_orbit_dims": [2, 2, 42, 42], "trace_display": [0, 0, 0, 0], "traces": [88, 0, 0, 0, 0, -3, 0, 0, 0, -8, 0, -13, 0, 0, 0, -8, 0, 21, 0, 0, 0, 4, 0, 20, 88, 0, -12, 12, 0, -22, 0, 0, -8, 12, 0, -1, 0, 0, 0, 8, 0, -8, 32, 0, 0, 0, 0, 5, -104, 0, 40, -2, 0, 20, 0, 0, -8, -42, 0, -24, 0, 0, 0, -18, 0, -14, 0, 0, 0, 48, 0, -72, -16, 0, -56, 44, 0, -35, 0, 0, 8, 54, 0, -14, 0, 0, 0, -12, 0, -46, 48, 0, 0, 2, 0, -77, 32, 0, 64, -88, 0, 8, 0, 0, 0, -48, 0, -8, 0, 0, 0, 8, 0, -34, 0, 0, 0, -136, 0, 22, -72, 0, -68, 46, 0, 104, 0, 0, -40, 12, 0, 40, 0, 0, 0, 112, 0, 3, -32, 0, 0, -90, 0, -13, -48, 0, -40, -12, 0, -77, 0, 0, -32, -16, 0, -13, 0, 0, 0, 4, 0, 63, 0, 0, 0, 48, 0, 110, -104, 0, -32, -152, 0, -33, 0, 0, 40, 36, 0, 32, 0, 0, 0, -18, 0, 5, -48, 0, 0, -48, 0, -52, 80, 0, -64, 128, 0, -26, 0, 0, 8, -16, 0, -14, 0, 0, 0, -38, 0, -120, -72, 0, 0, 212, 0, 90, 48, 0, -20, 96, 0, 46, 0, 0, 0, 100, 0, 78, 0, 0, 0, 40, 0, -41, 64, 0, 0, -16, 0, 54, -48, 0, 80, 24, 0, -111, 0, 0, 40, -8, 0, 74, 0, 0, 0, 72, 0, 96, -96, 0, 0, 110, 0, -150, 16, 0, 144, 8, 0, 24, 0, 0, 0, -44, 0, -21, 0, 0, 0, 48, 0, -33, 144, 0, 0, 84, 0, 213, -40, 0, -64, 142, 0, -61, 0, 0, 40, 96, 0, -115, 0, 0, 0, -132, 0, 168, -8, 0, 0, -236, 0, 88, 32, 0, 40, 28, 0, 74, 0, 0, 8, -24, 0, -17, 0, 0, 0, 32, 0, -28, -96, 0, 0, 184, 0, 60, -32, 0, 24, 32, 0, 70, 0, 0, 0, -152, 0, 157, 0, 0, 0, -80, 0, 134, -128, 0, 0, 110, 0, -98, 40, 0, 88, -92, 0, 130, 0, 0, 48, -40, 0, 77, 0, 0, 0, -56, 0, 160, -192, 0, 0, 12, 0, 79, 64, 0, 0, -136, 0, 102, 0, 0, 40, 122, 0, -104, 0, 0, 0, -120, 0, -302, 24, 0, 0, -88, 0, -54, 16, 0, 136, -236, 0, -27, 0, 0, -56, 48, 0, 116, 0, 0, 0, -236, 0, 181, 144, 0, 0, -24, 0, -24, -160, 0, -264, -156, 0, -131, 0, 0, -48, -32, 0, -196, 0, 0, 0, 300, 0, 83, 320, 0, 0, -64, 0, -92, -144, 0, -160, 28, 0, 40, 0, 0, 96, 26, 0, 29, 0, 0, 0, -148, 0, 46, -192, 0, 0, 34, 0, -76, 64, 0, 0, 224, 0, 165, 0, 0, -40, -216, 0, -103, 0, 0, 0, -82, 0, -96, -48, 0, 0, -176, 0, -182, -112, 0, 268, -38, 0, 64, 0, 0, -152, 234, 0, -156, 0, 0, 0, -20, 0, 59, -64, 0, 0, -124, 0, -158, 88, 0, -104, -168, 0, -40, 0, 0, -104, -126, 0, 312, 0, 0, 0, 32, 0, -32, 224, 0, 0, -300, 0, 52, 80, 0, 104, -202, 0, 163, 0, 0, 192, 28, 0, -265, 0, 0, 0, 96, 0, -28, 48, 0, 0, -8, 0, 168, 96, 0, 148, -136, 0, -84, 0, 0, 96, 188, 0, -163, 0, 0, 0, 112, 0, -172, 208, 0, 0, 54, 0, -120, 272, 0, -152, -190, 0, 18, 0, 0, -96, -280, 0, 2, 0, 0, 0, 16, 0, -68, -384, 0, 0, 158, 0, -149, -184, 0, 176, 268, 0, -264, 0, 0, 56, -256, 0, 154, 0, 0, 0, 240, 0, -290, -336, 0, 0, -208, 0, 40, -80, 0, -112, 6, 0, -288, 0, 0, -32, -72, 0, 4, 0, 0, 0, -140, 0, -106, 0, 0, 0, -112, 0, -78, 0, 0, 156, 398, 0, 216, 0, 0, 72, 316, 0, -50, 0, 0, 0, 104, 0, 58, 360, 0, 0, 144, 0, -232, -160, 0, 76, 412, 0, -322, 0, 0, -16, -246, 0, -102, 0, 0, 0, 236, 0, 296, -16, 0, 0, -12, 0, 206, 176, 0, 232, -292, 0, -125, 0, 0, -48, -124, 0, 234, 0, 0, 0, -40, 0, -203, 240, 0, 0, -224, 0, -2, 48, 0, 128, 552, 0, -128, 0, 0, 72, -122, 0, 4, 0, 0, 0, -368, 0, -121, 336, 0, 0, 168, 0, 323, 80, 0, -84, -50, 0, 124, 0, 0, 48, 212, 0, 332, 0, 0, 0, 16, 0, -41, -240, 0, 0, 232, 0, 322, 128, 0, -288, 64, 0, 32, 0, 0, -112, 48, 0, 48, 0, 0, 0, 124, 0, -178, 112, 0, 0, 256, 0, -276, -16, 0, -280, -144, 0, 80, 0, 0, -72, 480, 0, -39, 0, 0, 0, 88, 0, -215, -112, 0, 0, 712, 0, 512, 88, 0, 96, -40, 0, -129, 0, 0, -40, 252, 0, -363, 0, 0, 0, -56, 0, 306, 288, 0, 0, -408, 0, 152, -48, 0, -248, 20, 0, 230, 0, 0, -272, -44, 0, 105, 0, 0, 0, 264, 0, 155, 136, 0, 0, 410, 0, 90, -16, 0, -216, 32, 0, 46, 0, 0, 48, -352, 0, 81, 0, 0, 0, -280, 0, 299, 352, 0, 0, 224, 0, -330, 144, 0, -128, -188, 0, 144, 0, 0, -8, 82, 0, 36, 0, 0, 0, 10, 0, 482, 128, 0, 0, 52, 0, -18, 64, 0, -160, -272, 0, 124, 0, 0, 32, 88, 0, 170, 0, 0, 0, -152, 0, -326, -80, 0, 0, -272, 0, 86, -200, 0, -56, -156, 0, -64, 0, 0, 160, 184, 0, 225, 0, 0, 0, -136, 0, 533, -160, 0, 0, -82, 0, 134, -272, 0, 336, 108, 0, -388, 0, 0, -104, 304, 0, -226, 0, 0, 0, 200], "hecke_cutter_primes": [5], "level_primes": [2, 3, 23], "relative_dim": 88, "hecke_orbit_code": 618508845608, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 10, "prim_orbit_index": 6, "conrey_index": 323, "newforms": ["552.2.j.a", "552.2.j.b", "552.2.j.c", "552.2.j.d"], "oldspaces": [[24, 6, 11, 2]]}