# Stored data for newspace 39.4.b, downloaded from the LMFDB on 24 April 2024.
{"label": "39.4.b", "level": 39, "weight": 4, "char_conductor": 13, "char_degree": 1, "char_parity": 1, "sturm_bound": 18, "dim": 8, "eis_dim": 4, "eis_new_dim": 0, "cusp_dim": 12, "mf_dim": 16, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 3, "num_forms": 2, "Nk2": 624, "analytic_conductor": 2.301074490223884, "level_radical": 39, "mf_new_dim": 8, "char_values": [39, 2, [14, 28], [2, 1]], "hecke_orbit_dims": [4, 4], "trace_display": [0, 0, 0, 0], "traces": [8, 0, 0, -40, 0, 0, 0, 0, 72, -68, 0, 36, -84, -264, 0, 372, 312, 0, 0, 0, 0, 244, -168, 0, -64, -432, 0, 0, -432, -324, 0, 0, 0, 0, 984, -360, 0, 24, 180, -316, 0, 1296, -224, 0, 0, 0, 0, -1008, -904, 0, -360, 460, 120, 0, 256, 1728, 0, 0, 0, 0, -1992, 2592, 0, 264, 1272, 1548, 0, -5784, -1224, 0, 0, 0, 0, 840, 72, 0, 600, -936, 4608, 0, 648, -3116, 0, 0, 0, 0, -1008, 3428, 0, -612, -384, -7560, 0, 4996, 1512, 0, 0, 0, 0, -3488, -3672, 0, -4160, 4152, 2232, 0, -5736, 324, 0, 0, 0, 0, 3672, 2880, 0, 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12240, 137280, 0, -189648, 179664, 0, 0, 0, 0, 22400, -16704, 0, -82224, 19536, -13824, 0, -26568, -7848, 0, 0, 0, 0, 6600, -108972, 0, -8352, 55800, 84196, 0, -31392, -217152, 0, 0, 0, 0, -43128, 81792, 0, -33048, -128880, 58680, 0, -7064, -91224, 0, 0, 0, 0, 82608, -122160, 0, -159476, -84648, 7416, 0, -75912, -37440, 0, 0, 0, 0, 27696, 111096, 0, 201600, 37368, 116856, 0, 41544, 268752, 0, 0, 0, 0, 20088, -135472, 0, 38736, 13968, -82680, 0, 166896, -9456, 0, 0, 0, 0, -214580, 4152, 0, 3128, 112920, -51624, 0, 78720, 153360, 0, 0, 0, 0, -97440, 2916, 0, -108384, 12780, -165088, 0, -30384, 87856, 0, 0, 0, 0, -43956, 94072, 0, -112824, 16608, 31200, 0, 91744, -87840, 0, 0, 0, 0, 69136, -178752, 0, -46088], "hecke_cutter_primes": [2], "level_primes": [3, 13], "relative_dim": 8, "hecke_orbit_code": 68786585639, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 25, "newforms": ["39.4.b.a", "39.4.b.b"], "oldspaces": [[13, 2, 12, 2]]}