# Stored data for newform 1568.2.i.k, downloaded from the LMFDB on 29 March 2024. {"label": "1568.2.i.k", "space_label": "1568.2.i", "level": 1568, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036546063074848, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 301006828838742954, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, -2, 1]], [5, [0, 1]], [11, [16, -4, 1]]], "qexp_display": "q+(2-2\\zeta_{6})q^{3}-\\zeta_{6}q^{9}+(4-4\\zeta_{6})q^{11}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "char_is_real": false, "Nk2": 6272, "analytic_conductor": 12.520543036936765, "hecke_ring_index": 1, "level_radical": 14, "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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