# Stored data for newspace 450.3.g, downloaded from the LMFDB on 30 November 2023.
{"label": "450.3.g", "level": 450, "weight": 3, "char_conductor": 5, "char_degree": 2, "char_parity": -1, "sturm_bound": 270, "dim": 30, "eis_dim": 96, "eis_new_dim": 0, "cusp_dim": 312, "mf_dim": 408, "char_order": 4, "char_orbit_label": "g", "char_is_real": false, "trace_bound": 7, "num_forms": 10, "Nk2": 4050, "analytic_conductor": 12.26161189621336, "level_radical": 30, "mf_new_dim": 30, "char_values": [450, 4, [101, 127], [4, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 4, 4, 4, 4, 4], "trace_display": [2, 0, 0, -20], "traces": [30, 2, 0, 0, 0, 0, -20, -4, 0, 0, -64, 0, -6, 0, 0, -120, 58, 0, 0, 0, 0, 16, -20, 0, 0, 84, 0, 40, 0, 0, 24, -8, 0, 0, 0, 0, 126, -104, 0, 0, -208, 0, -108, 0, 0, -272, 60, 0, 0, 0, 0, -12, 206, 0, 0, 160, 0, 8, 0, 0, 688, -184, 0, 0, 0, 0, -284, -116, 0, 0, 376, 0, 62, 0, 0, -112, -160, 0, 0, 0, 0, 232, 228, 0, 0, -192, 0, -32, 0, 0, -600, -40, 0, 0, 0, 0, 222, -206, 0, 0, -92, 0, -220, 0, 0, -244, 364, 0, 0, 0, 0, 80, 218, 0, 0, -304, 0, 488, 0, 0, 1330, 0, 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0, 0, 1056, -336, 0, 0, 0, 0, 2600, -2460, 0, 0, -2940, 0, -444, 0, 0, -2296, -412, 0, 0, 0, 0, 1022, -192, 0, 0, -4548, 0, 168, 0, 0, -1520, 480, 0, 0, 0, 0, -440, 400, 0, 0, -336, 0, -832, 0, 0, -4448, 400, 0, 0, 0, 0, -3264, -728, 0, 0, 1496, 0, 22, 0, 0, -1016, 400, 0, 0, 0, 0, -1020, 1668, 0, 0, -288, 0, -160, 0, 0, 7648, 436, 0, 0, 0, 0, 306, -240, 0, 0, -844, 0, 3268, 0, 0, 1668, 52, 0, 0, 0, 0, 976, 1440, 0, 0, 656, 0, -240, 0, 0, 1404, -976, 0, 0, 0, 0, -1764, 0, 0, 0, 2512, 0, -3224, 0, 0, -96, -560, 0, 0, 0, 0, -1344, -564, 0, 0, 5984, 0, -56, 0, 0, 2536, 32, 0, 0, 0, 0, -480, -888, 0, 0, -492, 0, -3108, 0, 0, -6160, -536, 0, 0, 0, 0, -800, 432, 0, 0, -320, 0, 1940, 0, 0, 1700, -1032, 0, 0, 0, 0, 2364, 84, 0, 0, -6224, 0, 3072, 0, 0, -2064, -546, 0, 0, 0, 0, 2616, 2172, 0, 0, -896, 0, 944, 0, 0, 3312, -960, 0, 0, 0, 0, -454, -386, 0, 0, 2424, 0, -752, 0, 0, -540, 1284, 0, 0, 0, 0, -504, -650, 0, 0, 1176, 0, -600, 0, 0, 6112, -1008, 0, 0, 0, 0, 564, 416, 0, 0, -4824, 0, -3102, 0, 0, -832, 570, 0, 0, 0, 0, -712, 512, 0, 0, 2724, 0, 1884, 0, 0, -1144, 96, 0, 0, 0, 0, 3894, -1280, 0, 0, 5296, 0, 2988, 0, 0, -3184, -1228, 0, 0, 0, 0, 2312, 1902, 0, 0, 832, 0, -1200, 0, 0, -3968, -16, 0, 0, 0, 0, -2560, -760, 0, 0, 5232, 0, -1546, 0, 0, 2988, 382, 0, 0, 0, 0, -2624, 1452, 0, 0, -5328, 0, 432, 0, 0, -3904, 284, 0, 0, 0, 0, -5752, -2000, 0, 0, -5488, 0, -1512, 0, 0, -5508, 2584, 0, 0, 0, 0, 176, -1040, 0, 0, -3344, 0, 256, 0, 0, 4408, 114, 0, 0, 0, 0, 1644, -528, 0, 0, 4680, 0, 2102, 0, 0, 1088, 800, 0, 0, 0, 0, 4040, -2476, 0, 0, -532, 0, -352, 0, 0, -856, -240, 0, 0, 0, 0, -1206, -344, 0, 0, -4372, 0, 568, 0, 0, 6528, 120, 0, 0, 0, 0, -1164, -702, 0, 0, 2376, 0, -948, 0, 0, 2624, 280, 0, 0, 0, 0, 500, 1476, 0, 0, 6184, 0, -96, 0, 0, -64, 690, 0, 0, 0, 0, -324, 1120, 0, 0, 5040, 0, -1096, 0, 0, 1216, -448, 0, 0, 0, 0, -336, 396, 0, 0, -6832, 0, 1108, 0, 0, -1664, 756, 0, 0, 0, 0, 48, 746, 0, 0, -4000, 0, 1992, 0, 0, -6322, 1600, 0, 0, 0, 0, 1908, -824, 0, 0, -7224, 0, -1150, 0, 0, -3296, 2166, 0, 0, 0, 0, -4040, 316, 0, 0, -8612, 0, -2528, 0, 0, -16392, 1000, 0, 0, 0, 0, 1362, 1808, 0, 0, -5680, 0, -6412, 0, 0, 5424, -4620, 0, 0, 0, 0, 504, -1680, 0, 0, -640, 0, 3500, 0, 0, -1220, -640, 0, 0, 0, 0, 6308, -808, 0, 0, 10984, 0, 2784, 0, 0, 5008, 1280, 0, 0, 0, 0, 4612, -360, 0, 0, 9568, 0, -32, 0, 0, 11208, -204, 0, 0, 0, 0, 4634, 2096, 0, 0, 5868, 0, 5120, 0, 0, 3360, -3172, 0, 0, 0, 0, -2864, -966, 0, 0, 4896, 0, -4528, 0, 0, 11154, -612, 0, 0, 0, 0, -4060, -156, 0, 0, 11152, 0, 4336, 0, 0, -2752, -1866, 0, 0, 0, 0, -2704, -2476, 0, 0, -2336, 0, 1104, 0, 0, -9688, 736, 0, 0, 0, 0, -6382, 3896, 0, 0], "hecke_cutter_primes": [7, 11, 17], "level_primes": [2, 3, 5], "relative_dim": 15, "hecke_orbit_code": 412367192514, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 7, "prim_orbit_index": 3, "conrey_index": 307, "newforms": ["450.3.g.a", "450.3.g.b", "450.3.g.c", "450.3.g.d", "450.3.g.e", "450.3.g.f", "450.3.g.g", "450.3.g.h", "450.3.g.i", "450.3.g.j"], "oldspaces": [[10, 3, 3, 6], [15, 6, 7, 8], [25, 3, 7, 6], [30, 6, 7, 4], [45, 7, 28, 4], [50, 3, 7, 3], [75, 6, 7, 4], [90, 7, 37, 2], [150, 6, 7, 2], [225, 7, 82, 2]]}