# Stored data for newspace 112.2.j, downloaded from the LMFDB on 29 March 2024. {"label": "112.2.j", "level": 112, "weight": 2, "char_conductor": 112, "char_degree": 2, "char_parity": 1, "sturm_bound": 32, "dim": 28, "eis_dim": 8, "eis_new_dim": 8, "cusp_dim": 28, "mf_dim": 36, "char_order": 4, "char_orbit_label": "j", "char_is_real": false, "trace_bound": 2, "num_forms": 4, "Nk2": 448, "analytic_conductor": 0.8943245026383403, "level_radical": 14, "mf_new_dim": 36, "char_values": [112, 4, [15, 85, 17], [2, 1, 2]], "hecke_orbit_dims": [4, 4, 4, 16], "trace_display": [-4, 0, 0, -4], "traces": [28, -4, 0, -2, 0, 0, -4, -16, 0, 0, -8, 0, 0, 2, 0, -14, 0, -6, 0, 0, 4, 22, 0, 0, 0, 0, 0, -32, -12, 24, 0, -24, 0, 0, -4, 32, -12, 0, -8, 0, 0, -40, 0, 58, 0, 8, 0, 0, -4, 30, -32, 0, -12, 0, 0, -22, 0, 66, 0, 24, 0, 0, 0, 46, -8, 0, -48, 0, 0, 8, 56, 46, 0, -2, 0, 0, -16, -88, 0, 0, -4, 0, 0, 80, 16, -30, 0, 30, 0, 0, 20, -88, -16, 0, 0, 0, 0, 60, 64, -128, 0, -8, 0, 0, 0, -94, 32, 0, 4, 0, 0, 8, -8, -152, 0, -14, 0, 0, 64, -56, 0, 0, 72, 0, 0, -40, 0, -32, 0, -72, 0, 0, 36, 14, -16, 0, 0, 0, 0, -88, -16, 52, 0, 0, 0, 0, 32, 114, -60, 0, 0, 0, 0, -122, -96, 184, 0, 56, 0, 0, -32, 196, 56, 0, 72, 0, 0, -24, 0, 248, 0, 38, 0, 0, 0, -18, -8, 0, 104, 0, 0, 96, -184, 88, 0, 56, 0, 0, 64, -48, 0, 0, -72, 0, 0, 82, -76, -102, 0, 66, 0, 0, -28, -176, 24, 0, 0, 0, 0, 168, -96, -242, 0, 42, 0, 0, 0, -138, -88, 0, 112, 0, 0, 102, 92, -240, 0, -112, 0, 0, -136, -38, 0, 0, -144, 0, 0, -8, 0, -144, 0, -18, 0, 0, 0, -24, 8, 0, 0, 0, 0, -138, 0, 64, 0, 98, 0, 0, -76, 176, 84, 0, -88, 0, 0, -112, 120, 214, 0, 24, 0, 0, -64, 216, 0, 0, 36, 0, 0, -40, 0, 296, 0, 0, 0, 0, 0, 122, 28, 0, -144, 0, 0, 96, 232, 54, 0, 106, 0, 0, 16, -56, 0, 0, -8, 0, 0, 126, -72, -200, 0, -120, 0, 0, 116, -192, 4, 0, 0, 0, 0, 64, 176, -334, 0, -102, 0, 0, 0, -176, 40, 0, -20, 0, 0, 112, -8, -286, 0, -64, 0, 0, 164, -14, 0, 0, 208, 0, 0, -128, 0, -190, 0, -192, 0, 0, -64, 130, 96, 0, 0, 0, 0, -168, -24, 176, 0, -224, 0, 0, 12, 272, 132, 0, 208, 0, 0, -216, -216, 392, 0, -32, 0, 0, -8, 248, 104, 0, -76, 0, 0, -176, 0, 174, 0, 234, 0, 0, 0, 160, 56, 0, 80, 0, 0, 70, -240, 208, 0, -72, 0, 0, -92, -56, 0, 0, 56, 0, 0, 256, 36, -66, 0, 26, 0, 0, -60, -154, -104, 0, 0, 0, 0, 136, -184, -290, 0, -32, 0, 0, 0, -136, -24, 0, -216, 0, 0, -16, 56, -308, 0, 16, 0, 0, -272, -88, 0, 0, -112, 0, 0, -24, 0, -18, 0, -104, 0, 0, 0, 40, -40, 0, 0, 0, 0, -80, -20, 192, 0, 16, 0, 0, -176, 240, -112, 0, -224, 0, 0, -176, 272, 336, 0, 192, 0, 0, -32, 176, -72, 0, -72, 0, 0, -40, 0, 288, 0, 76, 0, 0, 0, -16, 64, 0, -216, 0, 0, 94, 408, 136, 0, 98, 0, 0, 4, -100, 0, 0, -132, 0, 0, 176, 24, -176, 0, 158, 0, 0, 80, -176, -44, 0, 0, 0, 0, 200, 200, -256, 0, 150, 0, 0, 0, -186, 104, 0, 68, 0, 0, 160, 128, -320, 0, -256, 0, 0, 244, -260, 0, 0, 128, 0, 0, 0, 0, -240, 0, 44, 0, 0, 100, 152, 96, 0, 0, 0, 0, -288, -80, -24, 0, 62, 0, 0, 208, 190, -232, 0, 296, 0, 0, -94, -296, 168, 0, -96, 0, 0, 24, 160, -64, 0, 164, 0, 0, -34, 0, 408, 0, -64, 0, 0, 0, 128, 60, 0, 312, 0, 0, 16, -424, 0, 0, 186, 0, 0, 192, -176, 0, 0, 56, 0, 0, 64, 8, -168, 0, 24, 0, 0, -272, -166, 116, 0, 0, 0, 0, 232, -336, -272, 0, -226, 0, 0, 0, -270, -96, 0, 288, 0, 0, -32, -136, -272, 0, -32, 0, 0, -96, -96, 0, 0, -192, 0, 0, -178, 0, -62, 0, -152, 0, 0, 64, 178, -280, 0, 0, 0, 0, -182, 52, 216, 0, -254, 0, 0, -84, 96, 148, 0, -376, 0, 0, -248, 280, 298, 0, 72, 0, 0, 88, 218, -128, 0, 172, 0, 0, -40, 0, 240, 0, 8, 0, 0, 0, -32, -72, 0, -168, 0, 0, -126, 320, 128, 0, 22, 0, 0, 16, -184, 0, 0, -8, 0, 0, 192, -156, 142, 0, 24, 0, 0, 236, -224, 208, 0, 0, 0, 0, 136, 432, -256, 0, 62, 0, 0, 0, -210, -72, 0, -64, 0, 0, -34, -8, -112, 0, -30, 0, 0, 160, -46, 0, 0, 232, 0, 0, 96, 0, 102, 0, 88, 0, 0, -112, -184, -8, 0, 0, 0, 0, 2, 64, 116, 0, 192, 0, 0, 308, -96, 196, 0, 376, 0, 0, -96, -344, 216, 0, 248, 0, 0, 96, 48, 136, 0, -320, 0, 0, 88, 0, 266, 0, 214, 0, 0, 0, 178, -264, 0, 144, 0, 0, 184, -504, 178, 0, 96, 0, 0, -336, -64, 0, 0, -72, 0, 0, 160, 200, -152, 0, 214, 0, 0, -160, -336, -92, 0, 0, 0, 0, 94, -304, -80, 0, 174, 0, 0, 0, -176, -64, 0, -368, 0, 0, 194, -256, -176, 0, 174, 0, 0, -232, -24, 0, 0, -168, 0, 0, -32, 0, -112, 0, 4, 0, 0, -44, 304, -120, 0, 0, 0, 0, -128, 84, -144, 0, 94, 0, 0, -256, 208, -248, 0, -352, 0, 0, -54, 392, 32, 0, -312, 0, 0, 32, 44, -48, 0, -216, 0, 0, -16, 0, 190, 0, 4, 0, 0, 0, 176, -100, 0, -136, 0, 0, 56, 544, -102, 0, 40, 0, 0, 68, 136, 0, 0, 120, 0, 0, 16, 228, -174, 0, -240, 0, 0, 256, -40, -160, 0, 0, 0, 0, 56, 472, -32, 0, -534, 0, 0], "hecke_cutter_primes": [3, 5], "level_primes": [2, 7], "relative_dim": 14, "hecke_orbit_code": 618508845168, "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": 10, "conrey_index": 27, "newforms": ["112.2.j.a", "112.2.j.b", "112.2.j.c", "112.2.j.d"], "oldspaces": []}