# Stored data for newspace 600.3.l, downloaded from the LMFDB on 24 April 2024.
{"label": "600.3.l", "level": 600, "weight": 3, "char_conductor": 3, "char_degree": 1, "char_parity": -1, "sturm_bound": 360, "dim": 38, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 216, "mf_dim": 264, "char_order": 2, "char_orbit_label": "l", "char_is_real": true, "trace_bound": 7, "num_forms": 7, "Nk2": 5400, "analytic_conductor": 16.348815861617815, "level_radical": 30, "mf_new_dim": 38, "char_values": [600, 2, [151, 301, 401, 577], [2, 2, 1, 2]], "hecke_orbit_dims": [2, 2, 2, 6, 6, 8, 12], "trace_display": [0, 2, 0, -4], "traces": [38, 0, 2, 0, 0, 0, -4, 0, 2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, -20, 0, 0, 0, 0, 0, 26, 0, 0, 0, -68, 0, 80, 0, 0, 0, 4, 0, 4, 0, 0, 0, 164, 0, 0, 0, 0, 0, 250, 0, 196, 0, 0, 0, 0, 0, -76, 0, 0, 0, 260, 0, -172, 0, 0, 0, -156, 0, 112, 0, 0, 0, -196, 0, 0, 0, 0, 0, -196, 0, -310, 0, 0, 0, 0, 0, 56, 0, 0, 0, -120, 0, 412, 0, 0, 0, 44, 0, -36, 0, 0, 0, 412, 0, 0, 0, 0, 0, -28, 0, 380, 0, 0, 0, 0, 0, -292, 0, 0, 0, 142, 0, -664, 0, 0, 0, 220, 0, -76, 0, 0, 0, -712, 0, 0, 0, 0, 0, -60, 0, -384, 0, 0, 0, 0, 0, 654, 0, 0, 0, -740, 0, 744, 0, 0, 0, 484, 0, 120, 0, 0, 0, 932, 0, 0, 0, 0, 0, 234, 0, 496, 0, 0, 0, 0, 0, -344, 0, 0, 0, 804, 0, -1012, 0, 0, 0, -816, 0, -164, 0, 0, 0, -1252, 0, 0, 0, 0, 0, -1060, 0, -1120, 0, 0, 0, 0, 0, -104, 0, 0, 0, -1228, 0, 888, 0, 0, 0, 328, 0, -384, 0, 0, 0, 700, 0, 0, 0, 0, 0, -268, 0, 1184, 0, 0, 0, 0, 0, -508, 0, 0, 0, 636, 0, -1558, 0, 0, 0, -296, 0, -532, 0, 0, 0, -1824, 0, 0, 0, 0, 0, 1176, 0, -1144, 0, 0, 0, 0, 0, 1488, 0, 0, 0, -1412, 0, 1968, 0, 0, 0, 532, 0, 884, 0, 0, 0, 2100, 0, 0, 0, 0, 0, 430, 0, 948, 0, 0, 0, 0, 0, -352, 0, 0, 0, 2160, 0, -1000, 0, 0, 0, -1612, 0, 396, 0, 0, 0, -948, 0, 0, 0, 0, 0, -864, 0, -1748, 0, 0, 0, 0, 0, -868, 0, 0, 0, -860, 0, 1820, 0, 0, 0, 1676, 0, -292, 0, 0, 0, 1096, 0, 0, 0, 0, 0, 12, 0, 1276, 0, 0, 0, 0, 0, -328, 0, 0, 0, 1650, 0, -2446, 0, 0, 0, 1228, 0, -1132, 0, 0, 0, -1484, 0, 0, 0, 0, 0, 1252, 0, -820, 0, 0, 0, 0, 0, 1884, 0, 0, 0, -1232, 0, 1152, 0, 0, 0, -460, 0, 2408, 0, 0, 0, 2488, 0, 0, 0, 0, 0, -1332, 0, 2692, 0, 0, 0, 0, 0, -940, 0, 0, 0, 2140, 0, -328, 0, 0, 0, -3320, 0, -24, 0, 0, 0, -852, 0, 0, 0, 0, 0, -276, 0, -370, 0, 0, 0, 0, 0, -1344, 0, 0, 0, -1032, 0, 844, 0, 0, 0, -20, 0, -2528, 0, 0, 0, 1628, 0, 0, 0, 0, 0, 2064, 0, 2196, 0, 0, 0, 0, 0, -1304, 0, 0, 0, -888, 0, -2008, 0, 0, 0, 2572, 0, 808, 0, 0, 0, -1232, 0, 0, 0, 0, 0, 2556, 0, -144, 0, 0, 0, 0, 0, 2966, 0, 0, 0, -792, 0, 1508, 0, 0, 0, 2112, 0, 4272, 0, 0, 0, 644, 0, 0, 0, 0, 0, -1034, 0, -2672, 0, 0, 0, 0, 0, 472, 0, 0, 0, 564, 0, 548, 0, 0, 0, -2732, 0, -1740, 0, 0, 0, -584, 0, 0, 0, 0, 0, -2392, 0, -3140, 0, 0, 0, 0, 0, -3124, 0, 0, 0, 636, 0, 1096, 0, 0, 0, -1572, 0, -3640, 0, 0, 0, -2096, 0, 0, 0, 0, 0, -1744, 0, -1128, 0, 0, 0, 0, 0, 916, 0, 0, 0, -964, 0, -932, 0, 0, 0, 1116, 0, 2048, 0, 0, 0, 1028, 0, 0, 0, 0, 0, -964, 0, 88, 0, 0, 0, 0, 0, 3664, 0, 0, 0, 764, 0, -1268, 0, 0, 0, -340, 0, 808, 0, 0, 0, 724, 0, 0, 0, 0, 0, 3152, 0, 888, 0, 0, 0, 0, 0, -668, 0, 0, 0, 556, 0, 1616, 0, 0, 0, -1072, 0, -2500, 0, 0, 0, -308, 0, 0, 0, 0, 0, -840, 0, 4232, 0, 0, 0, 0, 0, -4012, 0, 0, 0, 1780, 0, -2832, 0, 0, 0, 2320, 0, -2464, 0, 0, 0, -3112, 0, 0, 0, 0, 0, -1196, 0, 908, 0, 0, 0, 0, 0, 1040, 0, 0, 0, -1464, 0, -516, 0, 0, 0, 6028, 0, 2126, 0, 0, 0, -1660, 0, 0, 0, 0, 0, 1708, 0, 3320, 0, 0, 0, 0, 0, 3736, 0, 0, 0, -756, 0, -672, 0, 0, 0, -3020, 0, 216, 0, 0, 0, 712, 0, 0, 0, 0, 0, -548, 0, -3104, 0, 0, 0, 0, 0, 960, 0, 0, 0, -2864, 0, 3752, 0, 0, 0, -7212, 0, 896, 0, 0, 0, 3960, 0, 0, 0, 0, 0, -7920, 0, -1308, 0, 0, 0, 0, 0, -5344, 0, 0, 0, -2884, 0, -516, 0, 0, 0, -1752, 0, -1192, 0, 0, 0, -2244, 0, 0, 0, 0, 0, 1484, 0, -3916, 0, 0, 0, 0, 0, 892, 0, 0, 0, -4090, 0, 856, 0, 0, 0, 9468, 0, -1424, 0, 0, 0, 4932, 0, 0, 0, 0, 0, 9780, 0, -3520, 0, 0, 0, 0, 0, 3890, 0, 0, 0, 184, 0, -4716, 0, 0, 0, 2212, 0, 2336, 0, 0, 0, -2620, 0, 0, 0, 0, 0, 936, 0, -4428, 0, 0, 0, 0, 0, -296, 0, 0, 0, 304, 0, 4672, 0, 0, 0, -2412, 0, 4704, 0, 0, 0, -480, 0, 0, 0, 0, 0, -9988, 0, 2768, 0, 0, 0, 0, 0, -6572, 0, 0, 0, 9788, 0, -4536, 0, 0, 0, -4532, 0, -4460, 0, 0, 0, -7184, 0, 0, 0, 0, 0, -520, 0, 1776, 0, 0, 0, 0, 0, -320, 0, 0, 0, 4506, 0, 1896, 0, 0, 0, 28, 0, -3316, 0, 0, 0, 4344, 0, 0, 0, 0, 0, 8280, 0, 9220, 0, 0, 0, 0, 0, 3880, 0, 0, 0, 7196, 0, -1012, 0, 0, 0, -5420, 0, 7820, 0], "hecke_cutter_primes": [7], "level_primes": [2, 3, 5], "relative_dim": 38, "hecke_orbit_code": 755964576344, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 12, "prim_orbit_index": 2, "conrey_index": 401, "newforms": ["600.3.l.a", "600.3.l.b", "600.3.l.c", "600.3.l.d", "600.3.l.e", "600.3.l.f", "600.3.l.g"], "oldspaces": [[12, 4, 7, 6], [15, 3, 11, 8], [24, 7, 7, 3], [30, 4, 11, 6], [60, 7, 41, 4], [75, 3, 26, 4], [120, 12, 41, 2], [150, 4, 101, 3], [300, 7, 101, 2]]}