# Stored data for newspace 378.2.f, downloaded from the LMFDB on 29 March 2024. {"label": "378.2.f", "level": 378, "weight": 2, "char_conductor": 9, "char_degree": 2, "char_parity": 1, "sturm_bound": 144, "dim": 12, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 120, "mf_dim": 168, "char_order": 3, "char_orbit_label": "f", "char_is_real": false, "trace_bound": 5, "num_forms": 4, "Nk2": 1512, "analytic_conductor": 3.0183451964043986, "level_radical": 42, "mf_new_dim": 12, "char_values": [378, 3, [29, 325], [2, 3]], "hecke_orbit_dims": [2, 2, 4, 4], "trace_display": [-2, 0, 4, 0], "traces": [12, -2, 0, -6, 4, 0, 0, 4, 0, 0, 2, 0, 0, -4, 0, -6, -4, 0, 12, 4, 0, -6, -4, 0, -18, 0, 0, 0, -8, 0, -12, -2, 0, -6, 8, 0, 24, 14, 0, 0, 18, 0, -6, -4, 0, 0, 0, 0, -6, -10, 0, 0, 0, 0, 24, -4, 0, 0, -14, 0, 0, -24, 0, 12, -36, 0, -18, 2, 0, 0, -16, 0, 12, -4, 0, -6, -8, 0, -12, -8, 0, -36, 44, 0, 12, 2, 0, -6, 24, 0, 24, -4, 0, 0, 44, 0, 6, 4, 0, 36, 4, 0, -12, 0, 0, 24, 84, 0, 24, -4, 0, 0, -20, 0, 0, 16, 0, 12, 4, 0, 0, 36, 0, -12, -120, 0, -24, -2, 0, 12, -44, 0, 0, 100, 0, 12, 10, 0, -6, -4, 0, -12, 24, 0, -96, -14, 0, -12, -24, 0, -24, -28, 0, 0, 0, 0, 12, 0, 0, 0, 16, 0, -48, 18, 0, 36, 40, 0, -18, -40, 0, 12, -32, 0, -12, 2, 0, 36, -144, 0, -24, -12, 0, 0, -40, 0, 54, 0, 0, 0, 0, 0, 6, -2, 0, -6, -40, 0, 24, -10, 0, 24, 8, 0, 36, -88, 0, 0, 70, 0, 24, 0, 0, 6, 152, 0, 0, -20, 0, -12, 36, 0, 72, 8, 0, -48, -54, 0, 72, -4, 0, 0, 92, 0, -96, -14, 0, 12, -24, 0, -42, 56, 0, 0, 4, 0, -24, 12, 0, 24, -36, 0, -96, 0, 0, -6, 54, 0, 0, 72, 0, 0, 60, 0, 24, -20, 0, -18, 40, 0, -24, 2, 0, 18, -50, 0, 12, -44, 0, 0, -16, 0, 24, 8, 0, -12, -24, 0, -24, 88, 0, -6, 12, 0, 72, 8, 0, 0, -36, 0, 0, -44, 0, -6, -48, 0, -36, -8, 0, -24, 28, 0, 30, -16, 0, 24, 12, 0, 24, 4, 0, -12, 4, 0, -24, -16, 0, 18, 0, 0, -24, -88, 0, -48, -20, 0, 18, 26, 0, 12, -24, 0, 0, 2, 0, 0, -30, 0, 0, 40, 0, 12, -66, 0, 36, -12, 0, 48, -32, 0, 192, 0, 0, -12, 76, 0, 12, 8, 0, -96, 0, 0, -12, 70, 0, 0, 48, 0, -36, 44, 0, -36, -64, 0, 0, 92, 0, -12, -32, 0, -24, -2, 0, 12, 72, 0, 96, -4, 0, -18, -30, 0, -48, -8, 0, 0, 4, 0, -42, -60, 0, -12, -16, 0, 168, 0, 0, 30, 72, 0, -48, -112, 0, -48, 70, 0, 12, -42, 0, -36, 0, 0, -60, -24, 0, -12, -104, 0, -24, 8, 0, -72, -58, 0, -48, 8, 0, 0, -236, 0, 84, -20, 0, -42, 36, 0, -42, -56, 0, 0, 40, 0, 72, -8, 0, -18, -44, 0, 48, -48, 0, -6, 46, 0, -78, -8, 0, 24, 8, 0, -96, -58, 0, 0, 184, 0, 48, 36, 0, 0, 18, 0, -24, 144, 0, 24, 4, 0, -30, 60, 0, -42, 24, 0, 24, 40, 0, 12, 24, 0, -12, 4, 0, 36, 56, 0, 0, -8, 0, 12, 108, 0, -216, -44, 0, -24, 60, 0, 54, -96, 0, 0, 108, 0, 12, -50, 0, 24, -4, 0, 96, 60, 0, -6, -8, 0, -54, -20, 0, 132, -40, 0, -12, -4, 0, -6, 64, 0, 120, -4, 0, 60, -22, 0, 132, 136, 0, 24, -78, 0, -54, -12, 0, 12, -8, 0, 12, -40, 0, 48, 4, 0, 24, 28, 0, 96, -46, 0, -108, 64, 0, -12, -24, 0, 0, -24, 0, -36, 0, 0, -30, 16, 0, 48, -160, 0, 24, 14, 0, -36, -192, 0, 24, 70, 0, 0, 62, 0, -78, 0, 0, 72, 48, 0, -42, 70, 0, 12, -8, 0, 48, 0, 0, -12, -48, 0, 0, -16, 0, 0, 50, 0, 30, -8, 0, -42, 144, 0, 60, -84, 0, 24, -84, 0, 12, -36, 0, 0, 8, 0, -84, -64, 0, 36, -56, 0, 0, 40, 0, -36, -72, 0, 24, -84, 0, 36, 72, 0, -12, 20, 0, -36, -204, 0, -168, -4, 0, -6, -120, 0, -108, 64, 0, 60, 88, 0, 54, 64, 0, -12, 16, 0, -72, 2, 0, -42, 32, 0, -48, -208, 0, -72, -48, 0, 48, 72, 0, 12, 72, 0, -144, -48, 0, 12, -64, 0, 12, 24, 0, -72, -26, 0, 84, -4, 0, 0, -4, 0, -36, -40, 0, -24, 132, 0, 48, 40, 0, -108, 0, 0, 24, 0, 0, 72, 16, 0, 48, 10, 0, 0, 20, 0, -24, 0, 0, 144, 36, 0, -36, -8, 0, 6, 280, 0, 120, -2, 0, 48, 6, 0, -48, 64, 0, 12, 128, 0, -36, 20, 0, -96, -88, 0, 72, 48, 0, -12, -36, 0, 0, 20, 0, -60, -58, 0, 12, -48, 0, 24, 220, 0, 156, 8, 0, -12, -88, 0, 6, 116, 0, -72, 20, 0, -84, 44, 0, 0, -96, 0, -120, -76, 0, 0, 2, 0, -72, -140, 0, 72, -112, 0, -18, 24, 0, 24, -136, 0, 96, 0, 0, 54, -8, 0, -12, 48, 0, -12, 36, 0, -90, -76, 0, -48, -104, 0, -72, 38, 0, 0, 36, 0, 84, 40, 0, 168, 48, 0, 24, 24, 0, -12, -72, 0, -60, 36, 0, -18, -36, 0, -24, 96, 0, -144, -48, 0, 72, -4, 0, 114, 0, 0, -144, -42, 0, 24, 84, 0, 54, 108, 0, 24, -60, 0, 96, -14, 0, 72, -16, 0, -144, -4, 0, -12, 12, 0, 60, -56, 0, 0, 36, 0, -6, -46, 0, -18, -248, 0, 168, 8, 0, 48, 64, 0, 72, 28, 0, -60, 46, 0, 36, 10, 0, 12, -196, 0, 24, -24, 0, 48, 56, 0, 66, -192, 0, 84, -40, 0, -120, -28, 0, -36, 144, 0, -24, -52, 0, 0, 18, 0, 60, -8, 0, 12, -120, 0, 120, -40, 0, -24, 112, 0, -48, 12, 0, 24, -16, 0, -24, 28, 0, -48], "hecke_cutter_primes": [5], "level_primes": [2, 3, 7], "relative_dim": 6, "hecke_orbit_code": 343630938490, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 6, "prim_orbit_index": 3, "conrey_index": 127, "newforms": ["378.2.f.a", "378.2.f.b", "378.2.f.c", "378.2.f.d"], "oldspaces": [[18, 3, 7, 4], [54, 3, 19, 2], [63, 6, 22, 4], [126, 6, 43, 2], [189, 6, 64, 2]]}