# Stored data for newspace 684.3.b, downloaded from the LMFDB on 19 April 2024.
{"label": "684.3.b", "level": 684, "weight": 3, "char_conductor": 228, "char_degree": 1, "char_parity": -1, "sturm_bound": 360, "dim": 80, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 232, "mf_dim": 248, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 0, "num_forms": 1, "Nk2": 6156, "analytic_conductor": 18.637650082244306, "level_radical": 114, "mf_new_dim": 80, "char_values": [684, 2, [343, 533, 325], [1, 1, 1]], "hecke_orbit_dims": [80], "trace_display": [0, 0, 0, 0], "traces": [80, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, -352, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 152, 0, 0, 0, 0, 0, 32, 0, 0, 704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1160, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 848, 0, 0, 880, 0, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2096, 0, 0, -496, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, 1128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, -4016, 0, 0, 0, 0, 0, 1376, 0, 0, -3008, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1840, 0, 0, 0, 0, 0, 0, 0, 0, 1376, 0, 0, 2248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 0, 1328, 0, 0, 432, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, -2408, 0, 0, 0, 0, 0, -1456, 0, 0, 2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2288, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, -1648, 0, 0, 0, 0, 0, -896, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 0, -1696, 0, 0, 1040, 0, 0, 0, 0, 0, 0, 0, 0, -1968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1280, 0, 0, -2792, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3440, 0, 0, 0, 0, 0, -3312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1744, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 3840, 0, 0, 4064, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2704, 0, 0, 0, 0, 0, 0, 0, 0, -4672, 0, 0, 6584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, -96, 0, 0, -976, 0, 0, 0, 0, 0, 0, 0, 0, -3664, 0, 0, -400, 0, 0, 0, 0, 0, 4128, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4624, 0, 0, 0, 0, 0, 8768, 0, 0, 0, 0, 0, -9648, 0, 0, 0, 0, 0, -7584, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, 0, -6080, 0, 0, -1568, 0, 0, 0, 0, 0, 0, 0, 0, -11600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6608, 0, 0, -6576, 0, 0, 0, 0, 0, -3776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7504, 0, 0, 0, 0, 0, -3696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11264, 0, 0, 0, 0, 0, -2312, 0, 0, 0, 0, 0, 5392, 0, 0, -1440, 0, 0, 6496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2000, 0, 0, 0, 0, 0, 0, 0, 0, 5952, 0, 0, 7936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5440, 0, 0, 0, 0, 0, 0, 0, 0, 11936, 0, 0, 448, 0, 0, 6256, 0, 0, 0, 0, 0, 0, 0, 0, -832, 0, 0, -5296, 0, 0, 0, 0, 0, 7952, 0, 0, -7328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7240, 0, 0, 0, 0, 0, 8656, 0, 0, 0, 0, 0, -9424, 0, 0, 0, 0, 0, -6304, 0, 0, -6816, 0, 0, 0, 0, 0, 0, 0, 0, -3344, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, -13728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2976, 0, 0, -2384, 0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8256, 0, 0, 0, 0, 0, -6592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16720, 0, 0, 0, 0, 0, -15344, 0, 0, 0, 0, 0, 29600, 0, 0, 4320, 0, 0, 8912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20448, 0, 0, 0, 0, 0, 0, 0, 0, -3840, 0, 0, 22480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6832, 0, 0, 0, 0, 0, 0, 0, 0, 10976, 0, 0, -928, 0, 0, -2736, 0, 0, 0, 0, 0, 0, 0, 0, -5312, 0, 0, -14416, 0, 0, 0, 0, 0, -1056, 0, 0, -2400, 0, 0, 0], "level_primes": [2, 3, 19], "relative_dim": 80, "hecke_orbit_code": 68769809068, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 683, "newforms": ["684.3.b.a"], "oldspaces": [[228, 8, 37, 2]]}