# Stored data for newspace 693.2.by, downloaded from the LMFDB on 01 May 2024. {"label": "693.2.by", "level": 693, "weight": 2, "char_conductor": 77, "char_degree": 8, "char_parity": 1, "sturm_bound": 192, "dim": 304, "eis_dim": 128, "eis_new_dim": 32, "cusp_dim": 704, "mf_dim": 832, "char_order": 15, "char_orbit_label": "by", "char_is_real": false, "trace_bound": 2, "num_forms": 5, "Nk2": 2772, "analytic_conductor": 5.53363286007473, "level_radical": 231, "mf_new_dim": 336, "char_values": [693, 15, [155, 199, 442], [15, 5, 3]], "hecke_orbit_dims": [8, 40, 64, 64, 128], "trace_display": [1, 0, 5, 1], "traces": [304, 1, 0, 31, 5, 0, 1, 12, 0, -4, 7, 0, -4, 20, 0, 41, 11, 0, -7, -8, 0, -72, 6, 0, 5, 7, 0, -8, 32, 0, 3, 4, 0, -88, -17, 0, 19, 5, 0, 41, -14, 0, -28, 20, 0, 40, 25, 0, -57, 50, 0, -27, 31, 0, -4, 0, 0, -2, -11, 0, -30, -16, 0, -140, -6, 0, 4, 77, 0, -67, -132, 0, -54, 51, 0, -336, -36, 0, -18, 91, 0, -35, -100, 0, -10, 34, 0, -37, -38, 0, -68, -206, 0, -147, -12, 0, 92, 120, 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-1372, 0, -315, 229, 0, 740], "hecke_cutter_primes": [2], "level_primes": [3, 7, 11], "relative_dim": 38, "hecke_orbit_code": 3436007391925, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 51, "prim_orbit_index": 13, "conrey_index": 37, "newforms": ["693.2.by.a", "693.2.by.b", "693.2.by.c", "693.2.by.d", "693.2.by.e"], "oldspaces": [[77, 13, 4, 3], [231, 25, 4, 2]]}