# Stored data for newform 177.8.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "177.8.a.a", "space_label": "177.8.a", "level": 177, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 134217905, "dim": 16, "is_polredabs": true, "trace_hash": 214018736077315002, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-2385018853548032, -3193975642099712, -493048066650624, 494039551757568, 99470801612800, -16796366777600, -3353576629440, 226132003872, 42885295136, -1488374176, -269092298, 5107725, 890490, -8791, -1493, 6, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-3^{3}q^{3}+(61+\\beta _{2})q^{4}+(-5+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11328, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 55.29214951068955, "hecke_ring_index": 124416, "level_radical": 177, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, 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