# Stored data for newspace 450.2.f, downloaded from the LMFDB on 28 March 2024. {"label": "450.2.f", "level": 450, "weight": 2, "char_conductor": 15, "char_degree": 2, "char_parity": 1, "sturm_bound": 180, "dim": 12, "eis_dim": 96, "eis_new_dim": 0, "cusp_dim": 132, "mf_dim": 228, "char_order": 4, "char_orbit_label": "f", "char_is_real": false, "trace_bound": 7, "num_forms": 3, "Nk2": 1800, "analytic_conductor": 3.593268090957617, "level_radical": 30, "mf_new_dim": 12, "char_values": [450, 4, [101, 127], [2, 1]], "hecke_orbit_dims": [4, 4, 4], "trace_display": [0, 0, 0, -8], "traces": [12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, -80, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, -16, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -8, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -44, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -64, 0, 0, -32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, 0, -96, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 64, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -36, 0, 0, 92, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -24, 0, 0, -136, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 32, 0, 0, -136, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 32, 0, 0, 12, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 160, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -32, 0, 0, 96, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 28, 0, 0, 272, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -48, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, -60, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 12, 0, 0, -352, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 48, 0, 0, -272, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -64, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 16, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 8, 0, 0, 256, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -56, 0, 0, 96, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, 0, 0, 216, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 16, 0, 0, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -56, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, -256, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 44, 0, 0, -16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 0, -48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -16, 0, 0, -144, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -32, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 256, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 176, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 36, 0, 0, 80, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -48, 0, 0, 224, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -100, 0, 0, -60, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 96, 0, 0, 96, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -32, 0, 0, -176, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 44, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, -304, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 64, 0, 0, 288, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 60, 0, 0, -352, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -4, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, -176, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 72, 0, 0, 236, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -76, 0, 0, -80, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -32, 0, 0, -192, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -64, 0, 0, 288, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 0, 352, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, 0, 0, 88, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 4, 0, 0, -144, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -16, 0, 0, -180, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -32, 0, 0, 80, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -96, 0, 0, -544, 0, 0, 0, 0, 0, -52, 0, 0, 0], "hecke_cutter_primes": [7], "level_primes": [2, 3, 5], "relative_dim": 6, "hecke_orbit_code": 343630938562, "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": 5, "conrey_index": 107, "newforms": ["450.2.f.a", "450.2.f.b", "450.2.f.c"], "oldspaces": [[45, 6, 8, 4], [30, 5, 17, 4], [75, 5, 32, 4], [90, 6, 17, 2], [150, 5, 107, 2], [225, 6, 107, 2]]}