# Stored data for newspace 456.2.bf, downloaded from the LMFDB on 18 April 2024.
{"label": "456.2.bf", "level": 456, "weight": 2, "char_conductor": 57, "char_degree": 2, "char_parity": 1, "sturm_bound": 160, "dim": 40, "eis_dim": 32, "eis_new_dim": 0, "cusp_dim": 144, "mf_dim": 176, "char_order": 6, "char_orbit_label": "bf", "char_is_real": false, "trace_bound": 3, "num_forms": 4, "Nk2": 1824, "analytic_conductor": 3.6411783321703854, "level_radical": 114, "mf_new_dim": 40, "char_values": [456, 6, [343, 229, 305, 97], [6, 6, 3, 1]], "hecke_orbit_dims": [4, 4, 16, 16], "trace_display": [0, 3, 0, 4], "traces": [40, 0, 3, 0, 0, 0, 4, 0, 3, 0, 0, 0, -6, 0, 12, 0, 0, 0, -10, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 40, 0, 0, 0, 28, 0, -18, 0, 0, 0, -12, 0, -22, 0, 0, 0, 2, 0, -20, 0, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -54, 0, -13, 0, 0, 0, 4, 0, -8, 0, 0, 0, -90, 0, -18, 0, 0, 0, -66, 0, -25, 0, 0, 0, 0, 0, 24, 0, 0, 0, 12, 0, 34, 0, 0, 0, -8, 0, -78, 0, 0, 0, -140, 0, 37, 0, 0, 0, 60, 0, -24, 0, 0, 0, 12, 0, -48, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 57, 0, 0, 0, 0, 0, -84, 0, 0, 0, -2, 0, -48, 0, 0, 0, 48, 0, 18, 0, 0, 0, 46, 0, 31, 0, 0, 0, 14, 0, -21, 0, 0, 0, -60, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 90, 0, -22, 0, 0, 0, 22, 0, 50, 0, 0, 0, 72, 0, 58, 0, 0, 0, 126, 0, 48, 0, 0, 0, 0, 0, -63, 0, 0, 0, -54, 0, -55, 0, 0, 0, 84, 0, 150, 0, 0, 0, 232, 0, -36, 0, 0, 0, 60, 0, 153, 0, 0, 0, 90, 0, 111, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 80, 0, 0, 0, 8, 0, 180, 0, 0, 0, -160, 0, 54, 0, 0, 0, -78, 0, 36, 0, 0, 0, -32, 0, 49, 0, 0, 0, 72, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, -78, 0, 40, 0, 0, 0, 14, 0, -208, 0, 0, 0, -12, 0, -100, 0, 0, 0, -198, 0, -58, 0, 0, 0, 0, 0, 90, 0, 0, 0, 60, 0, 37, 0, 0, 0, -220, 0, -174, 0, 0, 0, -140, 0, -26, 0, 0, 0, -84, 0, -168, 0, 0, 0, -74, 0, -168, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -8, 0, 0, 0, 88, 0, -328, 0, 0, 0, 8, 0, -45, 0, 0, 0, 122, 0, -142, 0, 0, 0, 58, 0, 44, 0, 0, 0, -186, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 132, 0, 48, 0, 0, 0, -146, 0, 212, 0, 0, 0, 186, 0, 170, 0, 0, 0, 282, 0, 121, 0, 0, 0, 0, 0, -126, 0, 0, 0, -66, 0, -112, 0, 0, 0, 0, 0, 96, 0, 0, 0, 276, 0, -56, 0, 0, 0, -54, 0, -24, 0, 0, 0, -160, 0, 252, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, -93, 0, 0, 0, 0, 0, 124, 0, 0, 0, -24, 0, 212, 0, 0, 0, -216, 0, -15, 0, 0, 0, -98, 0, 42, 0, 0, 0, -156, 0, -4, 0, 0, 0, 282, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -456, 0, 9, 0, 0, 0, 102, 0, -76, 0, 0, 0, -258, 0, -134, 0, 0, 0, -102, 0, -148, 0, 0, 0, 0, 0, 84, 0, 0, 0, 132, 0, 164, 0, 0, 0, -184, 0, -144, 0, 0, 0, -196, 0, 140, 0, 0, 0, -108, 0, -282, 0, 0, 0, -92, 0, -348, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, -112, 0, 0, 0, -28, 0, -248, 0, 0, 0, 388, 0, 48, 0, 0, 0, 260, 0, 102, 0, 0, 0, 114, 0, 74, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 378, 0, 26, 0, 0, 0, 128, 0, 226, 0, 0, 0, 168, 0, 134, 0, 0, 0, 156, 0, 80, 0, 0, 0, 0, 0, -108, 0, 0, 0, 84, 0, -153, 0, 0, 0, 320, 0, 318, 0, 0, 0, 608, 0, -42, 0, 0, 0, -36, 0, 453, 0, 0, 0, 100, 0, 414, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 226, 0, 0, 0, -150, 0, 408, 0, 0, 0, -72, 0, 84, 0, 0, 0, -208, 0, 34, 0, 0, 0, -84, 0, 33, 0, 0, 0, 186, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -96, 0, -54, 0, 0, 0, 78, 0, -354, 0, 0, 0, 30, 0, -162, 0, 0, 0, -540, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -114, 0, 54, 0, 0, 0, -56, 0, -156, 0, 0, 0, -736, 0, -58, 0, 0, 0, 252, 0, -300, 0, 0, 0, 118, 0, -258, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -260, 0, 0, 0, -40, 0, -630, 0, 0, 0, 4, 0, -63, 0, 0, 0, 54, 0, -150, 0, 0, 0, 288, 0, -74, 0, 0, 0, -324, 0, 0, 0, 0, 0, -274, 0, 0, 0, 0, 0, 186, 0, -30, 0, 0, 0, -200, 0, 168, 0, 0, 0, 180, 0, 225, 0, 0, 0, 516, 0, 102, 0, 0, 0, 0, 0, -210, 0, 0, 0, -174, 0, -88, 0, 0, 0, 164, 0, 126, 0, 0, 0, 188, 0, -27, 0, 0, 0, 258, 0, 48, 0, 0, 0, -26, 0, 288, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 184, 0, 0, 0, -48, 0, 524, 0, 0, 0, -276, 0, -60, 0, 0, 0, -186, 0, -50, 0, 0, 0, -98, 0, -136, 0, 0, 0, -204, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -522, 0, -27, 0, 0, 0, 2, 0, 132, 0], "hecke_cutter_primes": [5], "level_primes": [2, 3, 19], "relative_dim": 20, "hecke_orbit_code": 2130337333704, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 32, "prim_orbit_index": 6, "conrey_index": 65, "newforms": ["456.2.bf.a", "456.2.bf.b", "456.2.bf.c", "456.2.bf.d"], "oldspaces": []}