# Stored data for newspace 429.2.j, downloaded from the LMFDB on 23 April 2024. {"label": "429.2.j", "level": 429, "weight": 2, "char_conductor": 39, "char_degree": 2, "char_parity": 1, "sturm_bound": 112, "dim": 96, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 104, "mf_dim": 120, "char_order": 4, "char_orbit_label": "j", "char_is_real": false, "trace_bound": 0, "num_forms": 1, "Nk2": 1716, "analytic_conductor": 3.4255822467129287, "level_radical": 429, "mf_new_dim": 96, "char_values": [429, 4, [287, 79, 67], [2, 4, 3]], "hecke_orbit_dims": [96], "trace_display": [0, 0, 0, -16], "traces": [96, 0, 0, 0, 0, 12, -16, 0, 0, 0, 0, 0, 16, 0, -16, -120, 0, -28, -24, 0, 0, 0, 0, 24, 0, 0, -24, 56, 0, 0, 48, 0, 0, -16, 0, 0, -16, 0, 0, 80, 0, 52, 0, 0, 4, -56, 0, 28, 0, 0, 0, 0, 0, 4, 0, 0, 4, 48, 0, 4, -96, 0, -36, 0, 0, 20, -16, 0, 0, 48, 0, -16, -16, 0, 0, -88, 0, 80, 16, 0, 32, 0, 0, 52, -8, 0, -48, 0, 0, 0, -16, 0, -36, -16, 0, -108, -48, 0, 0, -72, 0, -56, 0, 0, -48, -16, 0, 0, -128, 0, 40, 32, 0, 0, -24, 0, -8, 64, 0, -112, 0, 0, -32, 80, 0, -36, 0, 0, 0, 104, 0, 32, 128, 0, 28, -64, 0, -56, 64, 0, 44, 0, 0, -128, 32, 0, 0, 96, 0, 172, -32, 0, 0, 64, 0, 48, -208, 0, 120, 0, 0, 156, 8, 0, 0, 0, 0, 0, 24, 0, -160, 96, 0, -96, 152, 0, 88, 112, 0, -156, 0, 0, -96, 56, 0, 0, -8, 0, 84, 72, 0, 0, -144, 0, -164, -312, 0, -32, 0, 0, -68, -24, 0, 200, 0, 0, 0, -8, 0, 296, -192, 0, 44, 48, 0, 104, -64, 0, 156, 0, 0, -40, 8, 0, 0, -224, 0, 28, -24, 0, 0, 248, 0, 80, 144, 0, 64, 0, 0, -96, 200, 0, -80, 0, 0, 0, 80, 0, 48, -240, 0, 352, 0, 0, -152, 184, 0, -40, 0, 0, 152, -120, 0, 0, -120, 0, -220, -96, 0, 0, -16, 0, -124, -272, 0, -484, 0, 0, 24, 184, 0, -200, 0, 0, 0, -16, 0, 28, 240, 0, 68, 0, 0, 0, 16, 0, -24, 0, 0, 448, 120, 0, 0, 144, 0, -240, 272, 0, 0, 0, 0, 128, -96, 0, 112, 0, 0, -324, 32, 0, -72, 0, 0, 0, 208, 0, -164, 40, 0, -36, -8, 0, 0, -120, 0, 212, 0, 0, 344, 32, 0, 0, -96, 0, 36, 24, 0, 0, 152, 0, 44, -120, 0, -48, 0, 0, -8, -72, 0, 128, 0, 0, 0, -472, 0, 324, 0, 0, 164, -264, 0, 184, 32, 0, -24, 0, 0, -300, 112, 0, 0, 192, 0, -256, -48, 0, 0, -32, 0, -300, -240, 0, 168, 0, 0, 0, -64, 0, -216, 0, 0, 0, -64, 0, 24, 112, 0, -12, 24, 0, -16, -136, 0, -220, 0, 0, 56, -64, 0, 0, -136, 0, -44, 280, 0, 0, -16, 0, 48, 432, 0, -600, 0, 0, -48, -624, 0, 200, 0, 0, 0, -64, 0, -88, -32, 0, -288, -104, 0, -204, 0, 0, 8, 0, 0, 36, 400, 0, 0, 368, 0, -56, -136, 0, 0, 264, 0, -116, 352, 0, 104, 0, 0, 20, -160, 0, 56, 0, 0, 0, 312, 0, 28, 104, 0, -56, -80, 0, -60, 368, 0, 116, 0, 0, 56, -664, 0, 0, 80, 0, -108, -544, 0, 0, -488, 0, 280, 416, 0, 328, 0, 0, 120, 16, 0, 88, 0, 0, 0, -432, 0, -384, -144, 0, -152, 248, 0, 64, -288, 0, -16, 0, 0, 72, -336, 0, 0, -328, 0, 388, 176, 0, 0, -72, 0, 312, 272, 0, 56, 0, 0, 280, 336, 0, 264, 0, 0, 0, 56, 0, 44, 552, 0, 148, -120, 0, -40, 256, 0, 44, 0, 0, -248, 96, 0, 0, -144, 0, 496, 216, 0, 0, 32, 0, 172, -624, 0, 580, 0, 0, 284, 408, 0, 0, 0, 0, 0, -152, 0, -560, 112, 0, -116, 440, 0, -28, 48, 0, -180, 0, 0, -632, 112, 0, 0, -64, 0, 128, -112, 0, 0, -600, 0, -496, -416, 0, -152, 0, 0, -404, -312, 0, 232, 0, 0, 0, -120, 0, 384, -112, 0, -276, -24, 0, 144, -320, 0, 560, 0, 0, -368, -376, 0, 0, -32, 0, -48, -360, 0, 0, 320, 0, 196, 632, 0, 800, 0, 0, -152, 544, 0, -464, 0, 0, 0, 480, 0, 252, -672, 0, 164, 32, 0, -12, 336, 0, 72, 0, 0, -328, 48, 0, 0, 240, 0, -480, -224, 0, 0, 848, 0, -120, -160, 0, -560, 0, 0, 252, -8, 0, -352, 0, 0, 0, -112, 0, -84, 832, 0, 40, 392, 0, -40, -352, 0, -12, 0, 0, 264, -80, 0, 0, 496, 0, -132, 472, 0, 0, -16, 0, -48, 120, 0, -184, 0, 0, -52, -16, 0, 264, 0, 0, 0, 376, 0, -648, 176, 0, -8, -72, 0, -8, -48, 0, 368, 0, 0, 520, -16, 0, 0, -56, 0, 468, -48, 0, 0, -456, 0, -192, -16, 0, 288, 0, 0, 196, 288, 0, 392, 0, 0, 0, -464, 0, 516, -208, 0, 244, -296, 0, 92, -64, 0, -440, 0, 0, -264, 360, 0, 0, 248, 0, -356, -72, 0, 0, 240, 0, -268, -16, 0, 688, 0, 0, -56, -360, 0, -8, 0, 0, 0, -464, 0, -176, -112, 0, 0, -368, 0, 124, -160, 0, -452, 0, 0, 528, -16, 0, 0, -352, 0, -200, -160, 0, 0, 40, 0, 72, -96, 0, -496, 0, 0, -180, -792, 0, -72, 0, 0, 0, -32, 0, 8, -696, 0, -484, -56, 0, -400, 128, 0, -76, 0, 0, 80, 440, 0, 0, -120, 0, 0, 224, 0, 0, -24, 0, -284, 1104, 0, -68, 0, 0, 24, -792, 0, -432, 0, 0, 0, 872, 0, -436, 224, 0, -288, 416, 0, -48, -256, 0, -64, 0, 0, 140, -552, 0, 0, 352, 0, -312, -16, 0, 0, -352, 0, 608, 864, 0, -120, 0, 0, 424, -16, 0, 48, 0, 0, 0, -88, 0, -348, -1488, 0, 112, -136, 0, 100, 336, 0, -60, 0, 0, 96, -248, 0, 0, -184, 0, 276, -472, 0, 0, -128, 0, 348, 48, 0, 72, 0, 0, 200, 496, 0, 68, 0, 0, 0, -88, 0, 276, 720, 0, 92, -592, 0, -468, -368, 0, -16, 0], "hecke_cutter_primes": [], "level_primes": [3, 11, 13], "relative_dim": 48, "hecke_orbit_code": 618508845485, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 10, "prim_orbit_index": 6, "conrey_index": 122, "newforms": ["429.2.j.a"], "oldspaces": []}