# Stored data for newspace 600.3.p, downloaded from the LMFDB on 09 January 2026.
{"Nk2": 5400, "analytic_conductor": 16.348815861617815, "char_conductor": 40, "char_degree": 1, "char_is_real": true, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 2, "char_parity": -1, "char_values": [600, 2, [151, 301, 401, 577], [1, 1, 2, 1]], "conrey_index": 499, "cusp_dim": 228, "dim": 72, "eis_dim": 24, "eis_new_dim": 0, "hecke_cutter_primes": [7], "hecke_orbit_code": 1030842483288, "hecke_orbit_dims": [8, 32, 32], "label": "600.3.p", "level": 600, "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, 5], "level_radical": 30, "mf_dim": 252, "mf_new_dim": 72, "num_forms": 3, "prim_orbit_index": 5, "relative_dim": 72, "sturm_bound": 360, "trace_bound": 4, "trace_display": [0, 0, 0, 0], "traces": [72, 0, 0, -4, 0, 12, 0, 0, -216, 0, 0, 0, 0, -76, 0, -60, 0, 0, 64, 0, 0, 0, 0, 36, 0, 12, 0, 0, 0, 0, 0, 0, 0, 272, 0, 12, 0, 0, 0, 0, 80, 0, 0, -304, 0, -16, 0, 0, 504, 0, 192, 0, 0, -36, 0, -56, 0, 0, -256, 0, 0, 0, 0, 260, 0, -192, 0, 0, 0, 0, 0, 0, 0, 120, 0, 304, 0, 0, 0, 0, 648, 0, 0, -456, 0, 404, 0, 0, 400, 0, -768, 0, 0, -1072, 0, -252, 0, 0, 0, 0, 0, 0, 0, 976, 0, -688, 0, 0, 0, 0, 0, 0, 0, 132, 0, -600, 0, 0, 0, 0, 632, 0, 0, -760, 0, 228, 0, 0, 0, 0, 960, 0, 0, -548, 0, -1360, 0, 0, 576, 0, 0, 0, 0, 180, 0, 416, 0, 0, 0, 0, 0, 0, 0, 2488, 0, 600, 0, 0, 0, 0, -64, 0, 0, -1232, 0, -8, 0, 0, 1048, 0, -192, 0, 0, -336, 0, 248, 0, 0, -1792, 0, 0, 0, 0, 472, 0, -756, 0, 0, 0, 0, 0, 0, 0, 828, 0, -100, 0, 0, 0, 0, 0, 0, 0, -1320, 0, -568, 0, 0, -448, 0, 1152, 0, 0, 336, 0, -108, 0, 0, 0, 0, 0, 0, 0, -656, 0, -1448, 0, 0, 0, 0, 0, 0, 0, -36, 0, -392, 0, 0, 0, 0, -208, 0, 0, -840, 0, 1248, 0, 0, -384, 0, -4032, 0, 0, -472, 0, -1820, 0, 0, -1216, 0, 0, 0, 0, -360, 0, 4628, 0, 0, 0, 0, 0, 0, 0, -432, 0, 528, 0, 0, 0, 0, -1744, 0, 0, 1880, 0, 1592, 0, 0, 872, 0, 1152, 0, 0, -528, 0, 2632, 0, 0, 2368, 0, 0, 0, 0, 2408, 0, -816, 0, 0, 0, 0, 0, 0, 0, -1276, 0, 416, 0, 0, 0, 0, 672, 0, 0, -36, 0, -844, 0, 0, -1792, 0, -3904, 0, 0, 1000, 0, -3000, 0, 0, 576, 0, 0, 0, 0, -3184, 0, -1720, 0, 0, 0, 0, 0, 0, 0, 2064, 0, -3336, 0, 0, 0, 0, 3096, 0, 0, 2360, 0, 1572, 0, 0, -240, 0, 2176, 0, 0, 5664, 0, 200, 0, 0, -1088, 0, 0, 0, 0, 12, 0, 2820, 0, 0, 0, 0, 0, 0, 0, -2840, 0, 912, 0, 0, 0, 0, -80, 0, 0, 1080, 0, 2456, 0, 0, 2704, 0, 768, 0, 0, 48, 0, 9600, 0, 0, -2560, 0, 0, 0, 0, 984, 0, -1200, 0, 0, 0, 0, 0, 0, 0, -2996, 0, 3352, 0, 0, 0, 0, -1512, 0, 0, 792, 0, -6500, 0, 0, 528, 0, 5248, 0, 0, -2672, 0, -3936, 0, 0, -576, 0, 0, 0, 0, -5696, 0, 2376, 0, 0, 0, 0, 0, 0, 0, 1056, 0, -4696, 0, 0, 0, 0, -3904, 0, 0, 1348, 0, 108, 0, 0, 192, 0, -8064, 0, 0, 3644, 0, -176, 0, 0, -4736, 0, 0, 0, 0, 168, 0, 7520, 0, 0, 0, 0, 0, 0, 0, -7192, 0, 1920, 0, 0, 0, 0, -176, 0, 0, 5824, 0, 744, 0, 0, -3848, 0, 768, 0, 0, 96, 0, -64, 0, 0, 6720, 0, 0, 0, 0, -3184, 0, -5412, 0, 0, 0, 0, 0, 0, 0, 1604, 0, 3768, 0, 0, 0, 0, 384, 0, 0, 600, 0, -11660, 0, 0, -400, 0, -3456, 0, 0, -1008, 0, -780, 0, 0, 3456, 0, 0, 0, 0, -4544, 0, -8280, 0, 0, 0, 0, 0, 0, 0, 576, 0, -6800, 0, 0, 0, 0, 2672, 0, 0, -3880, 0, 5688, 0, 0, 2400, 0, 8960, 0, 0, 10116, 0, 1152, 0, 0, -1664, 0, 0, 0, 0, 3864, 0, 5260, 0, 0, 0, 0, 0, 0, 0, -2608, 0, 5952, 0, 0, 0, 0, -720, 0, 0, 6952, 0, 7176, 0, 0, -1152, 0, -1920, 0, 0, -2316, 0, 13672, 0, 0, -2240, 0, 0, 0, 0, -4544, 0, -360, 0, 0, 0, 0, 0, 0, 0, -7524, 0, 1804, 0, 0, 0, 0, -2688, 0, 0, -912, 0, -3156, 0, 0, -4352, 0, 6784, 0, 0, -2360, 0, -5952, 0, 0, 2304, 0, 0, 0, 0, 2488, 0, -512, 0, 0, 0, 0, 0, 0, 0, 600, 0, -13752, 0, 0, 0, 0, 3680, 0, 0, -2904, 0, 4500, 0, 0, -1944, 0, -7104, 0, 0, 108, 0, -11304, 0, 0, 2112, 0, 0, 0, 0, -72, 0, 5212, 0, 0, 0, 0, 0, 0, 0, 8856, 0, 1368, 0, 0, 0, 0, -5680, 0, 0, 5688, 0, -4952, 0, 0, 6352, 0, 1728, 0, 0, -1212, 0, 10024, 0, 0, 12352, 0, 0, 0, 0, 6156, 0, -8328, 0, 0, 0, 0, 0, 0, 0, -7556, 0, 9576, 0, 0, 0, 0, -1200, 0, 0, -6480, 0, -18716, 0, 0, -4880, 0, -2368, 0, 0, 2064, 0, -5040, 0, 0, 2304, 0, 0, 0, 0, -312, 0, -6088, 0, 0, 0, 0, 0, 0, 0, 3096, 0, -4744, 0, 0, 0, 0, -664, 0, 0, 7120, 0, 3216, 0, 0, -3840, 0, 12672, 0, 0, -5684, 0, -4944, 0, 0, -7040, 0, 0, 0, 0, 756, 0, 12412, 0, 0, 0, 0, 0, 0, 0, 13288, 0, 6144, 0, 0, 0, 0, 5712, 0, 0, -3960, 0, 12208, 0, 0, 352, 0, 0, 0, 0, 576, 0, -8, 0, 0, -11136, 0, 0, 0, 0, 11184, 0, -7740, 0, 0, 0, 0, 0, 0, 0, -8336, 0, 632, 0, 0, 0, 0, 1344, 0, 0, -8664, 0, -5320, 0, 0, 11984, 0, 3712, 0, 0, -11608, 0, -2928, 0, 0, -7680, 0, 0, 0, 0, -5112, 0, -15656, 0, 0, 0, 0, 0, 0, 0, 2064, 0, -20408, 0, 0, 0, 0, -1400, 0, 0, -1696, 0, 7464, 0, 0, -2688, 0, 6336, 0, 0, -4252, 0, -3568, 0, 0, 4736, 0, 0, 0, 0, 3336, 0, 9824, 0, 0, 0, 0, 0, 0, 0, -2944, 0, 11376, 0, 0, 0, 0], "weight": 3, "weight_parity": -1, "newforms": ["600.3.p.a", "600.3.p.b", "600.3.p.c"], "oldspaces": [[40, 5, 19, 4], [120, 16, 19, 2], [200, 5, 99, 2]]}