# Stored data for newspace 300.3.g, downloaded from the LMFDB on 20 April 2024.
{"label": "300.3.g", "level": 300, "weight": 3, "char_conductor": 3, "char_degree": 1, "char_parity": -1, "sturm_bound": 180, "dim": 13, "eis_dim": 36, "eis_new_dim": 0, "cusp_dim": 102, "mf_dim": 138, "char_order": 2, "char_orbit_label": "g", "char_is_real": true, "trace_bound": 7, "num_forms": 8, "Nk2": 2700, "analytic_conductor": 8.174407930808908, "level_radical": 30, "mf_new_dim": 13, "char_values": [300, 2, [151, 101, 277], [2, 1, 2]], "hecke_orbit_dims": [1, 1, 1, 2, 2, 2, 2, 2], "trace_display": [0, -1, 0, -6], "traces": [13, 0, -1, 0, 0, 0, -6, 0, -13, 0, 0, 0, 6, 0, 0, 0, 0, 0, 48, 0, 32, 0, 0, 0, 0, 0, 71, 0, 0, 0, 52, 0, -60, 0, 0, 0, -138, 0, -132, 0, 0, 0, 6, 0, 0, 0, 0, 0, 225, 0, -10, 0, 0, 0, 0, 0, 214, 0, 0, 0, -28, 0, -14, 0, 0, 0, -186, 0, -280, 0, 0, 0, 258, 0, 0, 0, 0, 0, 114, 0, 23, 0, 0, 0, 0, 0, 180, 0, 0, 0, -162, 0, -194, 0, 0, 0, -246, 0, -290, 0, 0, 0, -102, 0, 0, 0, 0, 0, 508, 0, -394, 0, 0, 0, 0, 0, 214, 0, 0, 0, -367, 0, 120, 0, 0, 0, -78, 0, -52, 0, 0, 0, 84, 0, 0, 0, 0, 0, -266, 0, 280, 0, 0, 0, 0, 0, 45, 0, 0, 0, 532, 0, -240, 0, 0, 0, -66, 0, -120, 0, 0, 0, 126, 0, 0, 0, 0, 0, 65, 0, 102, 0, 0, 0, 0, 0, -60, 0, 0, 0, -388, 0, 406, 0, 0, 0, 360, 0, 848, 0, 0, 0, -54, 0, 0, 0, 0, 0, -372, 0, 802, 0, 0, 0, 0, 0, -720, 0, 0, 0, 1392, 0, -240, 0, 0, 0, 36, 0, -256, 0, 0, 0, -1134, 0, 0, 0, 0, 0, -772, 0, -920, 0, 0, 0, 0, 0, -338, 0, 0, 0, 352, 0, 479, 0, 0, 0, 1116, 0, 590, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 496, 0, -180, 0, 0, 0, 0, 0, -480, 0, 0, 0, -1574, 0, -196, 0, 0, 0, 774, 0, 2048, 0, 0, 0, -954, 0, 0, 0, 0, 0, -1783, 0, -308, 0, 0, 0, 0, 0, -420, 0, 0, 0, -1082, 0, 780, 0, 0, 0, -186, 0, -1046, 0, 0, 0, -414, 0, 0, 0, 0, 0, -480, 0, 1590, 0, 0, 0, 0, 0, -986, 0, 0, 0, 1726, 0, -122, 0, 0, 0, 234, 0, 1530, 0, 0, 0, 564, 0, 0, 0, 0, 0, -1166, 0, -48, 0, 0, 0, 0, 0, -120, 0, 0, 0, -835, 0, 599, 0, 0, 0, 1074, 0, -470, 0, 0, 0, 366, 0, 0, 0, 0, 0, -112, 0, -1534, 0, 0, 0, 0, 0, 214, 0, 0, 0, 880, 0, -660, 0, 0, 0, -306, 0, 222, 0, 0, 0, -1236, 0, 0, 0, 0, 0, 2288, 0, -2370, 0, 0, 0, 0, 0, 262, 0, 0, 0, -2294, 0, 720, 0, 0, 0, 36, 0, 1020, 0, 0, 0, 1626, 0, 0, 0, 0, 0, -2172, 0, 1275, 0, 0, 0, 0, 0, -660, 0, 0, 0, -2420, 0, -674, 0, 0, 0, -78, 0, -3220, 0, 0, 0, -1182, 0, 0, 0, 0, 0, 1382, 0, 2692, 0, 0, 0, 0, 0, 720, 0, 0, 0, 3504, 0, -360, 0, 0, 0, -966, 0, 1918, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 2268, 0, 1800, 0, 0, 0, 0, 0, 1365, 0, 0, 0, 5704, 0, -794, 0, 0, 0, -1080, 0, -2060, 0, 0, 0, 2646, 0, 0, 0, 0, 0, -1483, 0, -2440, 0, 0, 0, 0, 0, 1260, 0, 0, 0, -3068, 0, 166, 0, 0, 0, -1578, 0, -1172, 0, 0, 0, 372, 0, 0, 0, 0, 0, 3582, 0, -2330, 0, 0, 0, 0, 0, 154, 0, 0, 0, -1868, 0, 360, 0, 0, 0, -1206, 0, 518, 0, 0, 0, -1080, 0, 0, 0, 0, 0, -2058, 0, 880, 0, 0, 0, 0, 0, 1294, 0, 0, 0, 992, 0, -1034, 0, 0, 0, 402, 0, -5640, 0, 0, 0, 2238, 0, 0, 0, 0, 0, 5228, 0, 4340, 0, 0, 0, 0, 0, 2040, 0, 0, 0, -268, 0, -314, 0, 0, 0, -270, 0, 4140, 0, 0, 0, -1122, 0, 0, 0, 0, 0, 1160, 0, 2078, 0, 0, 0, 0, 0, 202, 0, 0, 0, 3266, 0, -480, 0, 0, 0, -3240, 0, -2392, 0, 0, 0, -1542, 0, 0, 0, 0, 0, -5578, 0, -3700, 0, 0, 0, 0, 0, -266, 0, 0, 0, -1514, 0, -480, 0, 0, 0, -720, 0, -2780, 0, 0, 0, 3132, 0, 0, 0, 0, 0, 7308, 0, -6414, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7336, 0, -1394, 0, 0, 0, 2154, 0, 2057, 0, 0, 0, -762, 0, 0, 0, 0, 0, -4166, 0, -1422, 0, 0, 0, 0, 0, 2160, 0, 0, 0, -3454, 0, 1380, 0, 0, 0, -1386, 0, -3740, 0, 0, 0, 84, 0, 0, 0, 0, 0, 4848, 0, 7020, 0, 0, 0, 0, 0, -292, 0, 0, 0, 8040, 0, 1260, 0, 0, 0, 774, 0, 5960, 0, 0, 0, 2364, 0, 0, 0, 0, 0, -880, 0, 1930, 0, 0, 0, 0, 0, -1500, 0, 0, 0, 3412, 0, 718, 0, 0, 0, 1116, 0, -6738, 0, 0, 0, -1254, 0, 0, 0, 0, 0, -6726, 0, -2668, 0, 0, 0, 0, 0, -626, 0, 0, 0, -227, 0, -840, 0, 0, 0, -6, 0, 2698, 0, 0, 0, -2994, 0, 0, 0, 0, 0, 3614, 0, -6560, 0, 0, 0, 0, 0, 431, 0, 0, 0, -6282, 0, 226, 0, 0, 0, -546, 0, 7860, 0, 0, 0, 3966, 0, 0, 0, 0, 0, -7544, 0, 3730, 0, 0, 0, 0, 0, -1440, 0, 0, 0, -6480, 0, -196, 0, 0, 0, -1218, 0, -6880, 0, 0, 0, -3240, 0, 0, 0, 0, 0, 4428, 0, 7362, 0, 0, 0, 0, 0, -1838, 0, 0, 0, 5550, 0, -240, 0, 0, 0, 3234, 0, 8708, 0, 0, 0, -2160, 0, 0, 0, 0, 0, 696, 0, 2660, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 10065, 0, -240, 0, 0, 0, 4362, 0, -1410, 0, 0, 0, 372, 0, 0, 0, 0, 0, -6020, 0, -6508, 0, 0, 0, 0, 0, 360, 0, 0, 0, -4028, 0, 3478, 0, 0, 0, 4422, 0, 134, 0], "hecke_cutter_primes": [7, 11], "level_primes": [2, 3, 5], "relative_dim": 13, "hecke_orbit_code": 412367192364, "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": 2, "conrey_index": 101, "newforms": ["300.3.g.a", "300.3.g.b", "300.3.g.c", "300.3.g.d", "300.3.g.e", "300.3.g.f", "300.3.g.g", "300.3.g.h"], "oldspaces": [[12, 4, 7, 3], [15, 3, 11, 6], [30, 4, 11, 4], [60, 7, 41, 2], [75, 3, 26, 3], [150, 4, 101, 2]]}