# Stored data for newspace 416.2.bg, downloaded from the LMFDB on 10 June 2024.
{"Nk2": 1664, "analytic_conductor": 3.321776724085264, "char_conductor": 416, "char_degree": 4, "char_is_real": false, "char_orbit_index": 33, "char_orbit_label": "bg", "char_order": 8, "char_parity": 1, "char_values": [416, 8, [287, 261, 353], [8, 7, 4]], "conrey_index": 77, "cusp_dim": 216, "dim": 216, "eis_dim": 16, "eis_new_dim": 16, "hecke_cutter_primes": [], "hecke_orbit_code": 2199056810400, "hecke_orbit_dims": [216], "label": "416.2.bg", "level": 416, "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": [2, 13], "level_radical": 26, "mf_dim": 232, "mf_new_dim": 232, "num_forms": 1, "prim_orbit_index": 33, "relative_dim": 54, "sturm_bound": 112, "trace_bound": 0, "trace_display": [0, -8, 0, 0], "traces": [216, 0, -8, -8, 0, 0, 0, 0, -8, -8, 0, -24, -4, 24, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, -8, 16, -56, 0, -8, -24, 0, 0, 0, 0, -8, 16, 0, -48, -28, 32, 0, 32, -8, 0, 0, 0, 0, -112, 0, 0, 16, -12, -8, 0, -40, -48, 0, 0, 0, 0, -8, 56, 0, -8, -8, -56, 0, 0, -8, 0, 0, 0, 0, -8, -16, 0, -8, 84, 0, 0, 0, -88, 0, 0, 0, 0, -8, 72, 0, 88, 44, -80, 0, 24, 112, 0, 0, 0, 0, -8, -8, 0, -104, -112, -64, 0, -8, -112, 0, 0, 0, 0, 0, -56, 0, -104, -52, 104, 0, 56, -8, 0, 0, 0, 0, 176, -96, 0, -16, -92, 72, 0, -8, -88, 0, 0, 0, 0, 104, -48, 0, -8, 0, 208, 0, -96, 16, 0, 0, 0, 0, -32, 64, 0, 32, -136, -8, 0, -176, -152, 0, 0, 0, 0, -56, 168, 0, 208, -4, 8, 0, -8, 88, 0, 0, 0, 0, 136, -8, 0, -72, -184, 24, 0, -8, -304, 0, 0, 0, 0, 192, 176, 0, 280, -172, 56, 0, 136, -200, 0, 0, 0, 0, 304, -72, 0, 0, 112, 0, 0, -8, 40, 0, 0, 0, 0, 48, 152, 0, 440, 48, -392, 0, 96, 88, 0, 0, 0, 0, 80, -48, 0, -8, 108, 96, 0, -48, 272, 0, 0, 0, 0, 240, -224, 0, 296, 52, -264, 0, -24, -24, 0, 0, 0, 0, 120, 48, 0, -8, -208, -8, 0, -56, 136, 0, 0, 0, 0, 120, -456, 0, 80, 0, 192, 0, 64, 56, 0, 0, 0, 0, 72, -104, 0, -152, -44, -240, 0, -104, 112, 0, 0, 0, 0, -8, -216, 0, -64, 172, 152, 0, -136, 0, 0, 0, 0, 0, -176, -8, 0, 120, 272, -8, 0, -392, 264, 0, 0, 0, 0, -16, 64, 0, 152, -64, -432, 0, -32, -64, 0, 0, 0, 0, -208, 0, 0, 0, 276, 176, 0, 208, 112, 0, 0, 0, 0, -56, -8, 0, -56, 120, -344, 0, 24, 24, 0, 0, 0, 0, -440, -8, 0, -128, 328, -8, 0, 0, 424, 0, 0, 0, 0, -200, -144, 0, -376, -100, -16, 0, 240, 224, 0, 0, 0, 0, -488, 176, 0, -264, 296, 176, 0, -200, 256, 0, 0, 0, 0, 0, -456, 0, -760, 200, 168, 0, 24, 424, 0, 0, 0, 0, -400, -8, 0, -176, 8, -16, 0, 280, -480, 0, 0, 0, 0, 128, -208, 0, -552, -36, 544, 0, -232, 0, 0, 0, 0, 0, -488, 88, 0, 120, -56, 280, 0, -8, -552, 0, 0, 0, 0, 72, 184, 0, -448, 24, 368, 0, -136, 128, 0, 0, 0, 0, -144, 0, 0, -152, 180, -200, 0, 152, -200, 0, 0, 0, 0, -32, 336, 0, -64, -40, -128, 0, -24, -128, 0, 0, 0, 0, -144, 56, 0, 288, 36, 0, 0, 0, -456, 0, 0, 0, 0, -88, 504, 0, -56, -260, -144, 0, 272, -240, 0, 0, 0, 0, 184, 64, 0, 328, -184, -8, 0, 24, -240, 0, 0, 0, 0, 0, 8, 0, -136, -36, 368, 0, 336, -200, 0, 0, 0, 0, -16, 624, 0, 48, -680, -328, 0, -264, -432, 0, 0, 0, 0, -616, 56, 0, 40, 0, 328, 0, 32, 72, 0, 0, 0, 0, 440, -8, 0, -56, -504, 128, 0, 320, -808, 0, 0, 0, 0, 152, 672, 0, 512, -100, 304, 0, -8, 144, 0, 0, 0, 0, 792, 320, 0, 56, -128, -312, 0, -8, -64, 0, 0, 0, 0, -480, 688, 0, 1048, 16, -328, 0, 456, 528, 0, 0, 0, 0, 840, -80, 0, 0, 16, 0, 0, 248, 48, 0, 0, 0, 0, 120, 184, 0, 1160, 208, -304, 0, 184, -16, 0, 0, 0, 0, 616, 280, 0, -136, 164, -160, 0, -8, 680, 0, 0, 0, 0, -488, -304, 0, 584, -80, -368, 0, 48, 120, 0, 0, 0, 0, 368, -16, 0, -24, 56, -328, 0, 176, 872, 0, 0, 0, 0, -72, -840, 0, -72, 0, -56, 0, -272, 248, 0, 0, 0, 0, 352, 328, 0, -8, 176, 208, 0, -256, 472, 0, 0, 0, 0, -240, -640, 0, -96, -380, -64, 0, -136, 0, 0, 0, 0, 0, -104, -48, 0, -408, 248, -128, 0, 592, 536, 0, 0, 0, 0, -16, -432, 0, -344, 124, -160, 0, -32, 120, 0, 0, 0, 0, -768, 0, 0, 0, 612, -424, 0, 248, 792, 0, 0, 0, 0, 232, -424, 0, -176, -232, -800, 0, 336, -192, 0, 0, 0, 0, -576, -64, 0, 72, 768, -200, 0, 0, 720, 0, 0, 0, 0, 184, -616, 0, -920, -4, -256, 0, -240, 312, 0, 0, 0, 0, -792, -216, 0, 352, 416, -440, 0, 184, 264, 0, 0, 0, 0, 0, -736, 0, -1016, -524, 448, 0, 32, -488, 0, 0, 0, 0, -1144, 280, 0, 208, 248, 256, 0, -680, 48, 0, 0, 0, 0, -8, -240, 0, -1192, 204, 392, 0, -32, 0, 0, 0, 0, 0, -936, -440, 0, -8, 112, -520, 0, 128, -376, 0, 0, 0, 0, -88, 440, 0, -1240, -172, 288, 0, -168, -128, 0, 0, 0, 0, -712, 0, 0, -24, 240, -104, 0, -264, -1056, 0, 0, 0, 0, -160, 928, 0, -584, -8, 136, 0, 152, 128, 0, 0, 0, 0, -16, -248, 0, 16, -248, 0, 0, 0, -344, 0, 0, 0, 0, 280, 216, 0, 48, 28, 416, 0, 192, 384, 0, 0, 0, 0, 400, 568, 0, -176, -432, -8, 0, -376, -920, 0, 0, 0, 0, 0, 256, 0, 408, 252, 144, 0, -64, -8, 0, 0, 0, 0, 584, -1040, 0, 8, -700, 720, 0, 32, -904, 0, 0, 0, 0, 744, 408, 0, 456, 0, 456, 0, 136, -168, 0, 0, 0, 0, 1280, 120, 0, -144, -760, -424, 0, -288, -280, 0, 0, 0, 0, -40, 24, 0, 984], "weight": 2, "weight_parity": 1, "newforms": ["416.2.bg.a"], "oldspaces": []}