# Stored data for newspace 312.2.m, downloaded from the LMFDB on 25 April 2024. {"label": "312.2.m", "level": 312, "weight": 2, "char_conductor": 104, "char_degree": 1, "char_parity": 1, "sturm_bound": 112, "dim": 28, "eis_dim": 8, "eis_new_dim": 0, "cusp_dim": 52, "mf_dim": 60, "char_order": 2, "char_orbit_label": "m", "char_is_real": true, "trace_bound": 2, "num_forms": 3, "Nk2": 1248, "analytic_conductor": 2.491332543063948, "level_radical": 78, "mf_new_dim": 28, "char_values": [312, 2, [79, 157, 209, 145], [2, 1, 2, 1]], "hecke_orbit_dims": [2, 2, 24], "trace_display": [0, 0, 0, 0], "traces": [28, 0, 0, 0, 0, 0, 0, 0, -28, 4, 0, -4, 0, 16, 0, 12, 8, 0, 0, 0, 0, -28, 0, 0, 36, -12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 40, 0, -4, 0, -32, 0, 0, 0, 0, 0, -16, -44, 0, 0, 4, 0, 0, 48, -32, 0, 0, 0, 0, 0, -88, 0, 24, -24, 12, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -40, 0, 28, 76, 0, 0, 0, 0, 24, -44, 0, -4, 0, -40, 0, 76, -80, 0, 0, 0, 0, 64, 0, 0, -72, 64, 0, 0, 0, 4, 0, 0, 0, 0, -40, -24, 0, -48, 0, -12, 0, 60, 28, 0, 0, 0, 0, -16, 40, 0, 16, -44, 0, 0, 0, -64, 0, 0, 0, 0, 0, 168, 0, 76, 80, -12, 0, -24, 0, 0, 0, 0, 0, 48, -8, 0, 0, 16, 0, 0, -40, -148, 0, 0, 0, 0, 0, -20, 0, 40, 28, -56, 0, -144, 0, 0, 0, 0, 0, 36, 0, 0, 0, 120, 48, 0, -16, 72, 0, 0, 0, 0, 80, 28, 0, -8, 0, 0, 0, 28, -72, 0, 0, 0, 0, 16, 0, 0, 0, 88, 16, 0, 0, 88, 0, 0, 0, 0, -48, 152, 0, -104, 0, -32, 0, 40, -36, 0, 0, 0, 0, 0, 0, 0, -56, 12, 0, 0, 0, -144, 0, 0, 0, 0, 0, -40, 0, 44, -120, 40, 0, -160, 0, 0, 0, 0, 0, -92, 120, 0, 0, -168, 0, 0, 192, -116, 0, 0, 0, 0, 0, 4, 0, 0, -32, -4, 0, -72, 0, 0, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 52, 56, 0, 0, 0, 0, -48, -264, 0, -76, 0, 76, 0, 88, 120, 0, 0, 0, 0, 72, 0, 0, -144, -40, 40, 0, 0, 280, 0, 0, 0, 0, 0, 96, 0, 0, 0, 88, 0, 172, -48, 0, 0, 0, 0, -36, -80, 0, -88, -160, 0, 0, 0, -40, 0, 0, 0, 0, 0, -40, 0, -80, 0, -4, 0, -84, 0, 0, 0, 0, 0, 4, 12, 0, 0, -32, 0, 0, -168, -8, 0, 0, 0, 0, 0, -280, 0, 164, -64, 32, 0, -168, 0, 0, 0, 0, 0, 64, 0, 0, 0, -44, 160, 0, 0, 204, 0, 0, 0, 0, -64, -52, 0, -128, 0, -200, 0, 112, 224, 0, 0, 0, 0, -80, 0, 0, 272, 160, -48, 0, 0, 136, 0, 0, 0, 0, 184, -52, 0, 104, 0, -72, 0, 16, 56, 0, 0, 0, 0, -24, 56, 0, 44, -24, 0, 0, 0, -88, 0, 0, 0, 0, 0, 296, 0, 252, -128, -88, 0, -136, 0, 0, 0, 0, 0, -168, 0, 0, 0, -4, 0, 0, 64, -44, 0, 0, 0, 0, 0, 92, 0, 180, 24, -168, 0, -144, 0, 0, 0, 0, 0, 188, 0, 0, 0, 216, -48, 0, -16, 132, 0, 0, 0, 0, -368, 32, 0, 32, 0, 136, 0, 88, 192, 0, 0, 0, 0, 8, 0, 0, -72, -52, -40, 0, 0, -24, 0, 0, 0, 0, -4, 360, 0, -128, 0, -108, 0, 40, 0, 0, 0, 0, 0, 32, -80, 0, -112, 72, 0, 0, 0, -268, 0, 0, 0, 0, 0, 64, 0, 88, 80, 264, 0, -220, 0, 0, 0, 0, 0, -60, 24, 0, 0, -104, 0, 0, -352, -24, 0, 0, 0, 0, 0, 88, 0, -40, 24, -4, 0, -60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 64, 144, 0, 24, -48, 0, 0, 0, 0, 8, -296, 0, -248, 0, 8, 0, 32, -192, 0, 0, 0, 0, 40, 0, 0, 224, -36, 44, 0, 0, 208, 0, 0, 0, 0, 16, 4, 0, -176, 0, 312, 0, 68, -120, 0, 0, 0, 0, -32, 176, 0, -272, -164, 0, 0, 0, -152, 0, 0, 0, 0, 0, -160, 0, -192, -96, -84, 0, 0, 0, 0, 0, 0, 0, -32, 88, 0, 0, -64, 0, 0, 288, 40, 0, 0, 0, 0, 0, -352, 0, 248, 112, 208, 0, 24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 4, -400, 0, -32, 132, 0, 0, 0, 0, 40, 20, 0, -176, 0, -312, 0, 100, -224, 0, 0, 0, 0, 304, 0, 0, -248, 184, -28, 0, 0, 80, 0, 0, 0, 0, 80, -76, 0, 208, 0, -256, 0, 48, -112, 0, 0, 0, 0, -16, -136, 0, -32, 88, 0, 0, 0, 168, 0, 0, 0, 0, 0, 248, 0, 68, 48, -224, 0, -32, 0, 0, 0, 0, 0, 104, 128, 0, 0, 56, 0, 0, -24, -332, 0, 0, 0, 0, 0, -104, 0, 44, -96, -384, 0, -72, 0, 0, 0, 0, 0, -132, 0, 0, 0, 96, 216, 0, 184, 4, 0, 0, 0, 0, 528, 184, 0, 232, 0, 216, 0, 76, -216, 0, 0, 0, 0, 40, 0, 0, 112, -92, -8, 0, 0, -72, 0, 0, 0, 0, 92, 424, 0, -224, 0, -76, 0, 96, 176, 0, 0, 0, 0, -80, 80, 0, 184, 36, 0, 0, 0, -156, 0, 0, 0, 0, 0, -80, 0, 216, -56, 256, 0, 32, 0, 0, 0, 0, 0, 112, -264, 0, 0, -192, 0, 0, 400, -120, 0, 0, 0, 0, 0, 252, 0, -304, 64, 236, 0, -64, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, -144, 0, -80, -88, 0, 0, 0, 0, -56, -416, 0, -204, 0, 264, 0, -96, 72, 0, 0, 0, 0, -208, 0, 0, -416, -64, -8, 0, 0, -48, 0, 0, 0, 0, 0, -312, 0, -224, 0, 504, 0, 208, 152, 0, 0, 0, 0, -172, -96, 0, 180, -168, 0, 0, 0, -144, 0, 0, 0, 0, 0, -4, 0, -216, 176, -224, 0, -24, 0, 0, 0, 0, 0, -44, -176, 0, 0, 96, 0, 0, -136, 48, 0, 0, 0, 0, 0, -192, 0, 32], "hecke_cutter_primes": [5], "level_primes": [2, 3, 13], "relative_dim": 28, "hecke_orbit_code": 824667275576, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 13, "prim_orbit_index": 5, "conrey_index": 181, "newforms": ["312.2.m.a", "312.2.m.b", "312.2.m.c"], "oldspaces": [[104, 15, 17, 2]]}