# Stored data for newspace 416.2.b, downloaded from the LMFDB on 11 December 2025. {"Nk2": 1664, "analytic_conductor": 3.321776724085264, "char_conductor": 8, "char_degree": 1, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [416, 2, [287, 261, 353], [2, 1, 2]], "conrey_index": 209, "cusp_dim": 48, "dim": 12, "eis_dim": 16, "eis_new_dim": 0, "hecke_cutter_primes": [3], "hecke_orbit_code": 68753031584, "hecke_orbit_dims": [2, 4, 6], "label": "416.2.b", "level": 416, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 13], "level_radical": 26, "mf_dim": 64, "mf_new_dim": 12, "num_forms": 3, "prim_orbit_index": 2, "relative_dim": 12, "sturm_bound": 112, "trace_bound": 1, "trace_display": [0, 0, 0, 4], "traces": [12, 0, 0, 0, 0, 0, 4, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -12, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 4, 0, 12, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 24, 0, 4, 0, 0, 0, 0, 0, -56, 0, 16, 0, 0, 0, 0, 0, -24, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -72, 0, -24, 0, 0, 0, 0, 0, 40, 0, 4, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, -20, 0, 16, 0, 0, 0, 0, 0, -44, 0, -48, 0, 0, 0, 0, 0, 56, 0, -48, 0, 0, 0, 0, 0, -12, 0, -12, 0, 0, 0, 0, 0, -68, 0, 8, 0, 0, 0, 0, 0, -24, 0, 48, 0, 0, 0, 0, 0, 96, 0, -32, 0, 0, 0, 0, 0, 64, 0, 56, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, -8, 0, 0, 0, 0, 0, -28, 0, -36, 0, 0, 0, 0, 0, -24, 0, 40, 0, 0, 0, 0, 0, -60, 0, -64, 0, 0, 0, 0, 0, 12, 0, 40, 0, 0, 0, 0, 0, 136, 0, -48, 0, 0, 0, 0, 0, -96, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 108, 0, 32, 0, 0, 0, 0, 0, 48, 0, -36, 0, 0, 0, 0, 0, -160, 0, -16, 0, 0, 0, 0, 0, -160, 0, -64, 0, 0, 0, 0, 0, -64, 0, 24, 0, 0, 0, 0, 0, -120, 0, 40, 0, 0, 0, 0, 0, 104, 0, -24, 0, 0, 0, 0, 0, -8, 0, -40, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -32, 0, -8, 0, 0, 0, 0, 0, -100, 0, 84, 0, 0, 0, 0, 0, 56, 0, 88, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, 0, 0, -28, 0, 16, 0, 0, 0, 0, 0, 40, 0, -88, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 112, 0, -40, 0, 0, 0, 0, 0, 40, 0, 32, 0, 0, 0, 0, 0, 180, 0, 24, 0, 0, 0, 0, 0, -116, 0, 72, 0, 0, 0, 0, 0, -40, 0, -100, 0, 0, 0, 0, 0, 16, 0, 64, 0, 0, 0, 0, 0, 40, 0, -72, 0, 0, 0, 0, 0, 204, 0, -8, 0, 0, 0, 0, 0, -120, 0, 8, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 84, 0, -120, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, -184, 0, 48, 0, 0, 0, 0, 0, -144, 0, 128, 0, 0, 0, 0, 0, -96, 0, 8, 0, 0, 0, 0, 0, -80, 0, -68, 0, 0, 0, 0, 0, 112, 0, -64, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, -8, 0, -48, 0, 0, 0, 0, 0, -32, 0, 80, 0, 0, 0, 0, 0, -348, 0, -128, 0, 0, 0, 0, 0, 208, 0, -104, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -136, 0, 72, 0, 0, 0, 0, 0, 32, 0, 80, 0, 0, 0, 0, 0, 144, 0, 112, 0, 0, 0, 0, 0, 264, 0, 96, 0, 0, 0, 0, 0, 152, 0, -36, 0, 0, 0, 0, 0, 228, 0, -40, 0, 0, 0, 0, 0, -140, 0, -24, 0, 0, 0, 0, 0, -8, 0, 80, 0, 0, 0, 0, 0, 40, 0, -16, 0, 0, 0, 0, 0, 32, 0, 176, 0, 0, 0, 0, 0, 208, 0, 64, 0, 0, 0, 0, 0, -176, 0, -56, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 72, 0, 64, 0, 0, 0, 0, 0, -120, 0, -24, 0, 0, 0, 0, 0, -184, 0, -160, 0, 0, 0, 0, 0, -112, 0, -128, 0, 0, 0, 0, 0, -40, 0, -132, 0, 0, 0, 0, 0, -336, 0, 96, 0, 0, 0, 0, 0, 164, 0, 48, 0, 0, 0, 0, 0, 56, 0, -8, 0, 0, 0, 0, 0, -32, 0, 56, 0, 0, 0, 0, 0, -44, 0, -80, 0, 0, 0, 0, 0, -332, 0, 232, 0, 0, 0, 0, 0, 248, 0, 80, 0, 0, 0, 0, 0, 224, 0, 64, 0, 0, 0, 0, 0, -152, 0, -96, 0, 0, 0, 0, 0, 56, 0, -104, 0, 0, 0, 0, 0, 208, 0, 8, 0, 0, 0, 0, 0, 216, 0, -232, 0, 0, 0, 0, 0, 120, 0, -144, 0, 0, 0, 0, 0, 124, 0, 28, 0, 0, 0, 0, 0, -156, 0, 72, 0, 0, 0, 0, 0, -24, 0, -40, 0, 0, 0, 0, 0, -68, 0, -32, 0, 0, 0, 0, 0, 44, 0, -160, 0, 0, 0, 0, 0, 424, 0, 16, 0, 0, 0, 0, 0, -208, 0, -48, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 152, 0, -16, 0, 0, 0, 0, 0, 32, 0, 112, 0, 0, 0, 0, 0, -184, 0, 152, 0, 0, 0, 0, 0, -288, 0, 112, 0, 0, 0, 0, 0, -184, 0, 104, 0, 0, 0, 0, 0, -208, 0, -88, 0, 0, 0, 0, 0, 96, 0, 32, 0, 0, 0, 0, 0, -16, 0, 108, 0, 0, 0, 0, 0, -172, 0, 16, 0, 0, 0, 0, 0, -40, 0, -80, 0, 0, 0, 0, 0, -308, 0, -160, 0, 0, 0, 0, 0, 200, 0, -24, 0, 0, 0, 0, 0, 88, 0], "weight": 2, "weight_parity": 1, "newforms": ["416.2.b.a", "416.2.b.b", "416.2.b.c"], "oldspaces": [[104, 2, 53, 3]]}