# Stored data for newspace 164.1.d, downloaded from the LMFDB on 13 March 2026. {"Nk2": 164, "a4_dim": 0, "a5_dim": 0, "analytic_conductor": 0.08184666207181239, "char_conductor": 164, "char_degree": 1, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [164, 2, [83, 129], [1, 1]], "conrey_index": 163, "cusp_dim": 3, "dihedral_dim": 3, "dim": 3, "eis_dim": 2, "eis_new_dim": 2, "hecke_orbit_code": 206175207588, "hecke_orbit_dims": [1, 2], "label": "164.1.d", "level": 164, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 41], "level_radical": 82, "mf_dim": 5, "mf_new_dim": 5, "num_forms": 2, "prim_orbit_index": 4, "relative_dim": 3, "s4_dim": 0, "sturm_bound": 21, "trace_bound": 1, "trace_display": [-1, 0, -2, 0], "traces": [3, -1, 0, 3, -2, 0, 0, -1, 1, -2, 0, 0, 0, 0, 0, 3, 0, -3, 0, -2, -4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -4, 0, 0, 1, -2, 0, 0, -2, 3, 4, 0, 0, 2, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, -3, -2, -2, 0, 0, 4, 0, 0, -2, -1, -1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, -4, 0, 0, -1, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, -2, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 3, 0, 3, 0, 0, 0, 4, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 5, -4, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, -3, 0, -2, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -3, 3, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, -1, -4, 0, 0, 0, 2, 0, 0, -4, -2, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 4, 0, 0, 0, 1, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3, 0, 6, 0, 0, 0, 0, 0, 1, -2, 4, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -2, 4, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 3, 0, 0, -4, 0, 0, 0, 0, -4, 6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, -4, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 2, 4, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, -2, 0, 3, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0, 0, -3, 4, 0, 0, -2, 0, 0, 0, 4, -3, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 5, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, 6, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, -4, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, -5, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4], "weight": 1, "weight_parity": -1, "newforms": ["164.1.d.a", "164.1.d.b"], "oldspaces": []}