# Stored data for newspace 1176.3.f, downloaded from the LMFDB on 13 April 2026.
{"Nk2": 10584, "analytic_conductor": 32.043679088770915, "char_conductor": 7, "char_degree": 1, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": -1, "char_values": [1176, 2, [295, 589, 785, 1081], [2, 2, 2, 1]], "conrey_index": 97, "cusp_dim": 416, "dim": 40, "eis_dim": 64, "eis_new_dim": 0, "hecke_cutter_primes": [5], "hecke_orbit_code": 343647716504, "hecke_orbit_dims": [8, 8, 8, 16], "label": "1176.3.f", "level": 1176, "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, 3, 7], "level_radical": 42, "mf_dim": 480, "mf_new_dim": 40, "num_forms": 4, "prim_orbit_index": 2, "relative_dim": 40, "sturm_bound": 672, "trace_bound": 11, "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, 0, 0, 0, 0, 0, -120, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -96, 0, -256, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 8, 0, 48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 48, 0, 48, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 528, 0, 48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 360, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -216, 0, 416, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 224, 0, -504, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 192, 0, -144, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 72, 0, 96, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -480, 0, 104, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 272, 0, 336, 0, 0, 0, -800, 0, 0, 0, 0, 0, 0, 0, -552, 0, -592, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, -1904, 0, -448, 0, 0, 0, -928, 0, 0, 0, 0, 0, 0, 0, 736, 0, 288, 0, 0, 0, -1072, 0, 0, 0, 0, 0, 0, 0, 1056, 0, 1600, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 464, 0, -2128, 0, 0, 0, 2320, 0, 0, 0, 0, 0, 0, 0, 1776, 0, 264, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -192, 0, -80, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -1184, 0, -2264, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, -744, 0, 1536, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 96, 0, 2128, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, 176, 0, 216, 0, 0, 0, 1712, 0, 0, 0, 0, 0, 0, 0, 1072, 0, -24, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -1872, 0, -48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -2944, 0, -1872, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, -1464, 0, 2472, 0, 0, 0, -1184, 0, 0, 0, 0, 0, 0, 0, 432, 0, -320, 0, 0, 0, 1560, 0, 0, 0, 0, 0, 0, 0, 4432, 0, -4256, 0, 0, 0, 2384, 0, 0, 0, 0, 0, 0, 0, 3448, 0, 216, 0, 0, 0, -1640, 0, 0, 0, 0, 0, 0, 0, -1632, 0, 912, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, -1696, 0, 1200, 0, 0, 0, -3696, 0, 0, 0, 0, 0, 0, 0, -1488, 0, -144, 0, 0, 0, -5728, 0, 0, 0, 0, 0, 0, 0, -1344, 0, -416, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 5648, 0, 856, 0, 0, 0, -816, 0, 0, 0, 0, 0, 0, 0, 1824, 0, -576, 0, 0, 0, 4160, 0, 0, 0, 0, 0, 0, 0, -360, 0, 1872, 0, 0, 0, -816, 0, 0, 0, 0, 0, 0, 0, -3840, 0, -1064, 0, 0, 0, 1392, 0, 0, 0, 0, 0, 0, 0, -968, 0, 1056, 0, 0, 0, 2432, 0, 0, 0, 0, 0, 0, 0, 2736, 0, 2720, 0, 0, 0, 2352, 0, 0, 0, 0, 0, 0, 0, 896, 0, 2144, 0, 0, 0, 5648, 0, 0, 0, 0, 0, 0, 0, 520, 0, -1584, 0, 0, 0, 664, 0, 0, 0, 0, 0, 0, 0, -1728, 0, -1792, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -560, 0, 2400, 0, 0, 0, 1568, 0, 0, 0, 0, 0, 0, 0, -2616, 0, -1056, 0, 0, 0, -7128, 0, 0, 0, 0, 0, 0, 0, 96, 0, -1888, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 0, 0, 4592, 0, -904, 0, 0, 0, -5808, 0, 0, 0, 0, 0, 0, 0, -848, 0, -528, 0, 0, 0, -912, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 992, 0, 0, 0, -3744, 0, 0, 0, 0, 0, 0, 0, -1648, 0, 2112, 0, 0, 0, -4112, 0, 0, 0, 0, 0, 0, 0, -3072, 0, 168, 0, 0, 0, 7088, 0, 0, 0, 0, 0, 0, 0, 5856, 0, -6032, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 0, 0, 3888, 0, 1824, 0, 0, 0, 7616, 0, 0, 0, 0, 0, 0, 0, 1960, 0, 744, 0, 0, 0, 3424, 0, 0, 0, 0, 0, 0, 0, 288, 0, -4640, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, -8992, 0, -7792, 0, 0, 0, -7952, 0, 0, 0, 0, 0, 0, 0, -3920, 0, -3072, 0, 0, 0, -3168, 0, 0, 0, 0, 0, 0, 0, 2712, 0, 3888, 0, 0, 0, -1872, 0, 0, 0, 0, 0, 0, 0, -4784, 0, 2160, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -3776, 0, 648, 0, 0, 0, 2960, 0, 0, 0, 0, 0, 0, 0, -2184, 0, 1040, 0, 0, 0, -1248, 0, 0, 0, 0, 0, 0, 0, -704, 0, 2512, 0, 0, 0, -2352, 0, 0, 0, 0, 0, 0, 0, 3696, 0, 888, 0, 0, 0, 3552, 0, 0, 0, 0, 0, 0, 0, 144, 0, 8448, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -3408, 0, 2624, 0, 0, 0, 7424, 0, 0, 0, 0, 0, 0, 0, 5824, 0, -1368, 0, 0, 0, 4120, 0, 0, 0, 0, 0, 0, 0, -2304, 0, -12976, 0, 0, 0, 1632, 0, 0, 0, 0, 0, 0, 0, -10080, 0, 7720, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, 8408, 0, -672, 0, 0, 0, 5288, 0, 0, 0, 0, 0, 0, 0, 3072, 0, -4640, 0, 0, 0, 1512, 0, 0, 0, 0, 0, 0, 0, 7888, 0, 3032, 0, 0, 0, -11584, 0, 0, 0, 0, 0], "weight": 3, "weight_parity": -1, "newforms": ["1176.3.f.a", "1176.3.f.b", "1176.3.f.c", "1176.3.f.d"], "oldspaces": [[7, 2, 6, 16], [21, 4, 13, 8], [28, 2, 13, 8], [42, 3, 13, 6], [49, 2, 48, 8], [56, 3, 41, 4], [84, 4, 13, 4], [98, 2, 97, 6], [147, 4, 97, 4], [168, 6, 97, 2], [196, 2, 97, 4], [294, 3, 97, 3], [392, 3, 97, 2], [588, 4, 97, 2]]}