# Stored data for newspace 378.2.e, downloaded from the LMFDB on 04 June 2023. {"char_orbit_index": 5, "prim_orbit_index": 8, "label": "378.2.e", "level": 378, "weight": 2, "char_conductor": 63, "char_degree": 2, "char_parity": 1, "sturm_bound": 144, "dim": 16, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 120, "mf_dim": 168, "char_order": 3, "char_orbit_label": "e", "char_is_real": false, "trace_bound": 2, "num_forms": 4, "Nk2": 1512, "analytic_conductor": 3.0183451964043986, "level_radical": 42, "mf_new_dim": 16, "char_values": [378, 3, [29, 325], [1, 1]], "conrey_indexes": [37, 235], "hecke_orbit_dims": [2, 2, 6, 6], "trace_display": [0, 0, 4, -2], "traces": [16, 0, 0, 16, 4, 0, -2, 0, 0, 0, -4, 0, 2, -2, 0, 16, 14, 0, -4, 4, 0, 0, 2, 0, -8, 16, 0, -2, 10, 0, -4, 0, 0, 0, 14, 0, 2, 12, 0, 0, 6, 0, 2, -4, 0, -6, -12, 0, 4, 4, 0, 2, -24, 0, -12, -2, 0, 6, -44, 0, -16, -44, 0, 16, -12, 0, -28, 14, 0, -18, -52, 0, -28, 6, 0, -4, -50, 0, -40, 4, 0, 0, -16, 0, 12, -12, 0, 0, 36, 0, -16, 2, 0, -24, 68, 0, 2, 24, 0, -8, 40, 0, 2, 16, 0, 0, -18, 0, 8, -76, 0, -2, 40, 0, 0, 10, 0, -12, 4, 0, 4, -8, 0, -4, 24, 0, -28, 0, 0, -24, 34, 0, 50, 8, 0, 0, -38, 0, -16, 14, 0, -24, -18, 0, 30, 44, 0, 2, -12, 0, 38, 12, 0, 24, 96, 0, 32, -44, 0, 0, 52, 0, -16, 6, 0, -6, -38, 0, 6, -34, 0, 2, -44, 0, 40, -4, 0, -12, -24, 0, 68, -74, 0, -6, -40, 0, 36, -12, 0, 0, 72, 0, 32, 56, 0, 4, -28, 0, 50, 4, 0, 24, -124, 0, 72, 24, 0, 2, -26, 0, 26, -24, 0, -18, -16, 0, 14, 8, 0, -12, 96, 0, -16, -2, 0, 12, -6, 0, -4, 62, 0, 6, 20, 0, -6, -44, 0, 18, 60, 0, 32, 40, 0, -16, 88, 0, 28, -44, 0, 60, 84, 0, 48, 88, 0, 16, 0, 0, -100, -12, 0, 0, -36, 0, -30, 62, 0, -28, 40, 0, 14, 14, 0, -12, -8, 0, -16, 50, 0, -18, -4, 0, -76, -52, 0, 0, 24, 0, -26, 16, 0, -28, -54, 0, -18, 6, 0, -6, -12, 0, -46, -10, 0, -4, -66, 0, -148, -50, 0, -6, 112, 0, -16, -156, 0, -40, -144, 0, -12, 4, 0, 36, -92, 0, -16, 78, 0, 0, -54, 0, 32, -16, 0, -24, -74, 0, -52, -28, 0, 12, 6, 0, 40, -12, 0, 84, 36, 0, 20, 18, 0, 0, 12, 0, -18, 36, 0, -30, -14, 0, -24, -80, 0, -16, -8, 0, -76, 2, 0, 48, 24, 0, -70, -80, 0, -24, 48, 0, -28, 68, 0, 0, -70, 0, 0, 72, 0, 2, -62, 0, 84, 24, 0, 72, -30, 0, -100, 72, 0, -8, 66, 0, -44, 40, 0, -12, -32, 0, -76, -144, 0, 2, -46, 0, 78, 16, 0, 60, -42, 0, 20, -30, 0, 0, 112, 0, -88, -18, 0, 72, -12, 0, 44, -68, 0, 8, -80, 0, -64, -76, 0, 84, -4, 0, -12, 60, 0, -2, -116, 0, -78, 40, 0, -66, -18, 0, -148, 38, 0, 0, 10, 0, -22, 10, 0, 12, -62, 0, -118, -54, 0, -12, 160, 0, 2, 4, 0, -24, -70, 0, 34, 72, 0, 4, 88, 0, 50, -8, 0, 0, 24, 0, 12, 68, 0, -4, 172, 0, 38, 24, 0, -84, 240, 0, -48, 76, 0, -28, -30, 0, 164, 0, 0, -12, -70, 0, 18, 98, 0, -24, 60, 0, 56, 34, 0, 48, 12, 0, 28, 24, 0, 50, -36, 0, 264, 8, 0, 18, 62, 0, -4, -20, 0, 0, -38, 0, 44, -38, 0, 30, 164, 0, 110, -48, 0, -16, -50, 0, 244, 14, 0, -24, 128, 0, -12, -184, 0, -24, -180, 0, 68, -18, 0, -24, 16, 0, 140, 64, 0, 30, 52, 0, 96, 44, 0, 54, -52, 0, 76, -20, 0, 2, -84, 0, 90, -12, 0, -12, -24, 0, -40, -4, 0, 38, -4, 0, 26, 12, 0, 36, 30, 0, 26, -64, 0, 24, -100, 0, 74, 96, 0, 0, 42, 0, 52, 8, 0, 32, 64, 0, 20, -44, 0, 60, -90, 0, -136, 104, 0, 0, -10, 0, -64, 52, 0, -48, -126, 0, 6, 82, 0, -16, 132, 0, 12, 6, 0, -132, 26, 0, -64, -192, 0, -6, -200, 0, -18, -38, 0, -54, -90, 0, -76, -20, 0, 6, 132, 0, -16, -34, 0, -96, -60, 0, -204, -122, 0, 2, -48, 0, 164, -44, 0, -168, 28, 0, -36, 14, 0, 40, 184, 0, -14, -4, 0, 0, 26, 0, 104, -22, 0, -12, -78, 0, -114, -24, 0, -6, -120, 0, 32, -84, 0, 68, 68, 0, 74, -74, 0, -18, -98, 0, 26, 96, 0, -6, 140, 0, -88, -40, 0, -102, 84, 0, -96, 80, 0, 36, 114, 0, -136, -12, 0, -96, 256, 0, -64, 44, 0, 0, -58, 0, -4, 72, 0, 36, 96, 0, -4, 160, 0, 32, -44, 0, -58, 56, 0, -24, -108, 0, -48, -14, 0, 4, -64, 0, -136, -28, 0, -24, -46, 0, 46, 34, 0, 50, -24, 0, -36, 4, 0, -24, 176, 0, -24, -34, 0, 24, -26, 0, -52, -124, 0, 36, 332, 0, -32, -96, 0, 72, -40, 0, -52, 24, 0, -78, 12, 0, -100, 44, 0, 2, -106, 0, -252, -26, 0, -12, -160, 0, -32, -98, 0, 26, -160, 0, -26, -24, 0, -192, -104, 0, -118, -44, 0, -18, -18, 0, -64, -16, 0, 12, -2, 0, -54, -72, 0, 14, -78, 0, 52, 8, 0, -96, -36, 0, 86, 40, 0, -12, -60, 0, 8, 96, 0, -168, -186, 0, 14, 60, 0, -16, -54, 0, 54, -2, 0, -48, -90, 0, 72, 42, 0, 12, 168, 0, 68, -6, 0, 204, -36, 0, 204, -208, 0, -4, -220, 0, -70, 62, 0, -24, -168, 0, 44, -22, 0, 6, 168, 0, 38, 20, 0, -6, 88, 0, 32, -30, 0, -6, -56, 0, 72, -44, 0, -48, 88, 0, 172, 26, 0, 18, 8, 0, 168, 60, 0, 60, 50, 0, 192, -52, 0, 32, -46, 0, 128, 40, 0, -18, -18, 0, 68, 12, 0, -16, 132, 0, 96, 88, 0, 96, -150, 0, -150, 74, 0, 28, 4, 0, 62, -44, 0, 84, -10, 0, 92, -10, 0, 60], "hecke_cutter_primes": [5], "level_primes": [2, 3, 7], "relative_dim": 8, "hecke_orbit_code": 274911461754, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "newforms": ["378.2.e.a", "378.2.e.b", "378.2.e.c", "378.2.e.d"], "oldspaces": [[63, 8, 25, 4], [126, 5, 25, 2], [189, 8, 37, 2]]}