# Stored data for newform 1170.2.i.k, downloaded from the LMFDB on 25 April 2024. {"label": "1170.2.i.k", "space_label": "1170.2.i", "level": 1170, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036546063074450, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1122609729999981535, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [4, 2, 1]], [11, [1, -1, 1]], [29, [1, 1, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+q^{5}-2\\zeta_{6}q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "i", "char_is_real": false, "Nk2": 4680, "analytic_conductor": 9.342497036489805, "hecke_ring_index": 1, "level_radical": 390, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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