# Stored data for newspace 784.4.f, downloaded from the LMFDB on 25 April 2024.
{"label": "784.4.f", "level": 784, "weight": 4, "char_conductor": 28, "char_degree": 1, "char_parity": 1, "sturm_bound": 448, "dim": 60, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 312, "mf_dim": 360, "char_order": 2, "char_orbit_label": "f", "char_is_real": true, "trace_bound": 9, "num_forms": 10, "Nk2": 12544, "analytic_conductor": 46.25749744450064, "level_radical": 14, "mf_new_dim": 60, "char_values": [784, 2, [687, 197, 689], [1, 2, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 4, 4, 6, 6, 8, 24], "trace_display": [0, 0, 0, 0], "traces": [60, 0, 0, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2004, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1176, 0, 0, 0, 2376, 0, 0, 0, 0, 0, 0, 0, 552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3924, 0, 0, 0, -2712, 0, 0, 0, 0, 0, 0, 0, -4248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3792, 0, 0, 0, -5544, 0, 0, 0, 0, 0, 0, 0, -1884, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15360, 0, 0, 0, 6696, 0, 0, 0, 0, 0, 0, 0, -13824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26208, 0, 0, 0, -7932, 0, 0, 0, 0, 0, 0, 0, 30576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17568, 0, 0, 0, 20784, 0, 0, 0, 0, 0, 0, 0, -8784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7152, 0, 0, 0, -18036, 0, 0, 0, 0, 0, 0, 0, 19200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60144, 0, 0, 0, 6408, 0, 0, 0, 0, 0, 0, 0, -26832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50544, 0, 0, 0, 26376, 0, 0, 0, 0, 0, 0, 0, 23148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50064, 0, 0, 0, -39648, 0, 0, 0, 0, 0, 0, 0, -25872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97128, 0, 0, 0, -2856, 0, 0, 0, 0, 0, 0, 0, 64296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60324, 0, 0, 0, 54312, 0, 0, 0, 0, 0, 0, 0, -59976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75168, 0, 0, 0, -85968, 0, 0, 0, 0, 0, 0, 0, 3504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57648, 0, 0, 0, 33264, 0, 0, 0, 0, 0, 0, 0, -181896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97440, 0, 0, 0, -45576, 0, 0, 0, 0, 0, 0, 0, 57192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -101088, 0, 0, 0, 34824, 0, 0, 0, 0, 0, 0, 0, 56928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 150744, 0, 0, 0, 37320, 0, 0, 0, 0, 0, 0, 0, 214272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -189180, 0, 0, 0, 37008, 0, 0, 0, 0, 0, 0, 0, -124272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28296, 0, 0, 0, -41424, 0, 0, 0, 0, 0, 0, 0, 30744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -109344, 0, 0, 0, 114480, 0, 0, 0, 0, 0, 0, 0, 60408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42000, 0, 0, 0, -49608, 0, 0, 0, 0, 0, 0, 0, 190620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -111720, 0, 0, 0, -137808, 0, 0, 0, 0, 0, 0, 0, -212280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 153840, 0, 0, 0, -22728, 0, 0, 0, 0, 0, 0, 0, -206280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -73992, 0, 0, 0, 48912, 0, 0, 0, 0, 0, 0, 0, 73800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 165864, 0, 0, 0, 203988, 0, 0, 0, 0, 0, 0, 0, 132936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 151128, 0, 0, 0, -161688, 0, 0, 0, 0, 0, 0, 0, -94296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 211200, 0, 0, 0, -265944, 0, 0, 0, 0, 0, 0, 0, -244656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 161952, 0, 0, 0, 157104, 0, 0, 0, 0, 0, 0, 0, -84648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 263964, 0, 0, 0, 0, 0, 0, 0, 177528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33576, 0, 0, 0, -99096, 0, 0, 0, 0, 0, 0, 0, -130272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -290304, 0, 0, 0, -170712, 0, 0, 0, 0, 0, 0, 0, -210264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -321744, 0, 0, 0, -23496, 0, 0, 0, 0, 0, 0, 0, 307968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200760, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 243132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154656, 0, 0, 0, 327720, 0, 0, 0, 0, 0, 0, 0, 414336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "hecke_cutter_primes": [3], "level_primes": [2, 7], "relative_dim": 60, "hecke_orbit_code": 343664493328, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 6, "prim_orbit_index": 4, "conrey_index": 783, "newforms": ["784.4.f.a", "784.4.f.b", "784.4.f.c", "784.4.f.d", "784.4.f.e", "784.4.f.f", "784.4.f.g", "784.4.f.h", "784.4.f.i", "784.4.f.j"], "oldspaces": []}