# Stored data for newform 177.2.a.d, downloaded from the LMFDB on 25 April 2024. {"label": "177.2.a.d", "space_label": "177.2.a", "level": 177, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666097, "dim": 3, "is_polredabs": true, "nf_label": "3.3.229.1", "trace_hash": 260431241652045119, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -4, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(-1+\\beta _{1}+\\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": 708, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 1.4133521157766629, "hecke_ring_index": 1, "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, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": 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