# Stored data for newspace 712.1.y, downloaded from the LMFDB on 20 April 2024. {"label": "712.1.y", "level": 712, "weight": 1, "char_conductor": 712, "char_degree": 20, "char_parity": -1, "sturm_bound": 90, "dim": 20, "eis_dim": 40, "eis_new_dim": 40, "cusp_dim": 20, "mf_dim": 60, "char_order": 44, "char_orbit_label": "y", "char_is_real": false, "trace_bound": 0, "num_forms": 1, "Nk2": 712, "analytic_conductor": 0.3553342889946977, "level_radical": 178, "mf_new_dim": 60, "char_values": [712, 44, [535, 357, 537], [22, 22, 43]], "dihedral_dim": 20, "a4_dim": 0, "s4_dim": 0, "a5_dim": 0, "hecke_orbit_dims": [20], "trace_display": [2, -2, 0, 0], "traces": [20, 2, -2, -2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, -22, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -20, 0, 0, 2, 0, 2, 0, 0, 0, 0, -2, 0, -2, 4, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 2, -2, 0, 0, 0, 0, -2, -2, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 2, 4, 0, 0, 0, 2, 0, 0, -20, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -22, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, 0, 0, 0, 20, 2, 0, 0, 0, 0, -4, -2, -4, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, -2, -2, -18, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -22, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 20, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 2, 0, 0, 0, 0, 0, 0, -22, -16, 0, -4, 0, 0, 20, 0, 0, 0, 0, 0, -20, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, -2, 0, -2, 0, 0, 4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, -2, -4, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -18, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, -18, 0, 20, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 20, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -4, 0, -22, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 20, 0, 0, 0, 0, 0, -2, 0, -20, 0, 0, 0, 0, 0, 2, -6, 18, 0, 0, -18, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, -22, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 22, 0, -4, 0, 0, 0, 0, 0, 0, -20, 2, 0, 0, 0, 0, 0, 0, 0, -2, 22, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, -18, -2, 0, 2, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, -22, 0, 0, 22, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, -4, 0, 22, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -22, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -4, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, -2, 0, 4, 0, 0, 2, 0, 0, 20, 0, 0, 0, 0, 0, 0, -2, -2, 22, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -18, -2, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 22, 0, -2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -20, -22, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, -16, 0, 4, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, -20, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -18, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 2, 0, 0, 0, 4, 0, 0, -22, 0, 0, 0, 0, 2, 4, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, -4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -22, 2, 20, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 18, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 20, 0, 0, -4, 0, -20, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, -2, 0, 0, -18, 0, 20, 0, 0, 0, 0, 22, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -22, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 20, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 2, -4, 0, 2, 0, 0, 0, 0, 0, 2, 22, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 2, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 16, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, -22, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, -4, 0, 0, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 2, -22, 0, 0, -22, 0, 0, 0, 0, 0, 0, 24, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, -2, 4, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -18, 0, -20, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0], "level_primes": [2, 89], "relative_dim": 1, "hecke_orbit_code": 1649284219592, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 25, "prim_orbit_index": 25, "conrey_index": 99, "newforms": ["712.1.y.a"], "oldspaces": []}