# Stored data for newspace 450.2.s, downloaded from the LMFDB on 25 April 2024. {"label": "450.2.s", "level": 450, "weight": 2, "char_conductor": 75, "char_degree": 8, "char_parity": 1, "sturm_bound": 180, "dim": 80, "eis_dim": 128, "eis_new_dim": 0, "cusp_dim": 656, "mf_dim": 784, "char_order": 20, "char_orbit_label": "s", "char_is_real": false, "trace_bound": 7, "num_forms": 4, "Nk2": 1800, "analytic_conductor": 3.593268090957617, "level_radical": 30, "mf_new_dim": 80, "char_values": [450, 20, [101, 127], [10, 13]], "hecke_orbit_dims": [16, 16, 16, 32], "trace_display": [0, 0, 0, -8], "traces": [80, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 12, 0, 0, 20, 0, 0, 80, 0, 0, 72, 0, 0, 16, 0, 0, 32, 0, 0, 0, 0, 0, 20, 0, 0, 12, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -24, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -152, 0, 0, -164, 0, 0, 0, 0, 0, -160, 0, 0, -132, 0, 0, -172, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, -12, 0, 0, 8, 0, 0, 0, 0, 0, 80, 0, 0, 8, 0, 0, 64, 0, 0, 8, 0, 0, 20, 0, 0, 0, 0, 0, -96, 0, 0, -36, 0, 0, -224, 0, 0, 0, 0, 0, -160, 0, 0, -16, 0, 0, -156, 0, 0, 12, 0, 0, 80, 0, 0, 40, 0, 0, 116, 0, 0, -8, 0, 0, -96, 0, 0, -80, 0, 0, 160, 0, 0, 80, 0, 0, 416, 0, 0, 268, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 32, 0, 0, 204, 0, 0, -20, 0, 0, 0, 0, 0, 16, 0, 0, 4, 0, 0, -32, 0, 0, 0, 0, 0, -80, 0, 0, -192, 0, 0, -32, 0, 0, 16, 0, 0, 40, 0, 0, 240, 0, 0, -36, 0, 0, 80, 0, 0, -48, 0, 0, 60, 0, 0, -20, 0, 0, 64, 0, 0, -64, 0, 0, 192, 0, 0, -20, 0, 0, 0, 0, 0, 40, 0, 0, 256, 0, 0, 16, 0, 0, 120, 0, 0, 0, 0, 0, -16, 0, 0, 24, 0, 0, -192, 0, 0, 0, 0, 0, -160, 0, 0, 24, 0, 0, 72, 0, 0, 180, 0, 0, 0, 0, 0, 80, 0, 0, 160, 0, 0, 32, 0, 0, 244, 0, 0, 0, 0, 0, 80, 0, 0, 368, 0, 0, 308, 0, 0, 48, 0, 0, -160, 0, 0, 240, 0, 0, 84, 0, 0, 64, 0, 0, 192, 0, 0, -160, 0, 0, 0, 0, 0, 8, 0, 0, -208, 0, 0, -128, 0, 0, -220, 0, 0, -240, 0, 0, -392, 0, 0, -252, 0, 0, -380, 0, 0, 0, 0, 0, -480, 0, 0, -304, 0, 0, -464, 0, 0, -228, 0, 0, -240, 0, 0, -280, 0, 0, -268, 0, 0, -16, 0, 0, -192, 0, 0, -120, 0, 0, -220, 0, 0, -88, 0, 0, -48, 0, 0, -64, 0, 0, 40, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -160, 0, 0, 288, 0, 0, 112, 0, 0, 8, 0, 0, -160, 0, 0, 320, 0, 0, -40, 0, 0, 272, 0, 0, 104, 0, 0, 0, 0, 0, 560, 0, 0, -8, 0, 0, -16, 0, 0, 352, 0, 0, -120, 0, 0, 0, 0, 0, 152, 0, 0, 236, 0, 0, -484, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, -12, 0, 0, 104, 0, 0, 80, 0, 0, -240, 0, 0, -480, 0, 0, -228, 0, 0, -64, 0, 0, 160, 0, 0, -160, 0, 0, -176, 0, 0, -440, 0, 0, -356, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, -344, 0, 0, -184, 0, 0, 0, 0, 0, -80, 0, 0, -204, 0, 0, -168, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 52, 0, 0, 568, 0, 0, 60, 0, 0, 240, 0, 0, 68, 0, 0, 208, 0, 0, 368, 0, 0, 720, 0, 0, 0, 0, 0, 344, 0, 0, 320, 0, 0, 172, 0, 0, 120, 0, 0, 320, 0, 0, 96, 0, 0, 532, 0, 0, 36, 0, 0, 0, 0, 0, 320, 0, 0, 492, 0, 0, 16, 0, 0, 592, 0, 0, 240, 0, 0, 0, 0, 0, 96, 0, 0, 520, 0, 0, -160, 0, 0, 240, 0, 0, 160, 0, 0, 224, 0, 0, 144, 0, 0, 60, 0, 0, -80, 0, 0, 320, 0, 0, -32, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 48, 0, 0, 8, 0, 0, 96, 0, 0, 0, 0, 0, -160, 0, 0, -28, 0, 0, -112, 0, 0, -32, 0, 0, -320, 0, 0, 0, 0, 0, 184, 0, 0, 252, 0, 0, 44, 0, 0, 0, 0, 0, 80, 0, 0, 72, 0, 0, -60, 0, 0, 352, 0, 0, -320, 0, 0, 560, 0, 0, 100, 0, 0, -64, 0, 0, 144, 0, 0, -80, 0, 0, -80, 0, 0, 236, 0, 0, 224, 0, 0, -180, 0, 0, -80, 0, 0, -40, 0, 0, -560, 0, 0, 72, 0, 0, -220, 0, 0, 80, 0, 0, 0, 0, 0, -124, 0, 0, -496, 0, 0, -244, 0, 0, -160, 0, 0, -480, 0, 0, 0, 0, 0, 52, 0, 0, 8, 0, 0, -80, 0, 0, -220, 0, 0, -68, 0, 0, -448, 0, 0, -568, 0, 0, -20, 0, 0, -240, 0, 0, -504, 0, 0, -352, 0, 0, -96, 0, 0, 80, 0, 0, -400, 0, 0, -208, 0, 0, -364, 0, 0, 8, 0, 0, 80, 0, 0, 0, 0, 0, 300, 0, 0, -16, 0, 0, 416, 0, 0, -160, 0, 0, 680, 0, 0, 24, 0, 0, 888, 0, 0, 16, 0, 0, 0, 0, 0, 240, 0, 0, 144, 0, 0, 384, 0, 0, 696, 0, 0, -40, 0, 0, 240, 0, 0, 212, 0, 0, -244, 0, 0, 4, 0, 0, 160, 0, 0, -400, 0, 0, -56, 0, 0, -160, 0, 0, -592, 0, 0, 80, 0, 0, 0, 0, 0, 48, 0, 0, -32, 0, 0, -336, 0, 0, 100, 0, 0, -160, 0, 0, -40, 0, 0, -312, 0, 0, -272, 0, 0, 0, 0, 0, -960, 0, 0, -312, 0, 0, -624, 0, 0, -416, 0, 0, 80, 0, 0, -560, 0, 0, -692, 0, 0, 8], "hecke_cutter_primes": [7], "level_primes": [2, 3, 5], "relative_dim": 10, "hecke_orbit_code": 1236984136130, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 19, "prim_orbit_index": 12, "conrey_index": 17, "newforms": ["450.2.s.a", "450.2.s.b", "450.2.s.c", "450.2.s.d"], "oldspaces": [[75, 12, 2, 4], [150, 12, 17, 2], [225, 19, 8, 2]]}