# Stored data for newform 361.3.f.d, downloaded from the LMFDB on 24 April 2024. {"label": "361.3.f.d", "space_label": "361.3.f", "level": 361, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511142529827177, "dim": 12, "is_polredabs": true, "nf_label": "12.0.7659539263855005696.1", "trace_hash": 1641612057814976519, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4826809, 0, 0, 0, 0, 0, -2197, 0, 0, 0, 0, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}-\\beta _{7})q^{3}+9\\beta _{2}q^{4}+(-4\\beta _{4}+\\cdots)q^{5}+\\cdots", "char_order": 18, "char_parity": -1, "char_degree": 6, "char_conductor": 19, "char_orbit_label": "f", "char_is_real": false, "Nk2": 3249, "analytic_conductor": 9.836537543406719, "hecke_ring_index": 1, "level_radical": 19, "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": false, "is_self_twist": false, 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