# Stored data for newform 770.2.i.f, downloaded from the LMFDB on 25 April 2024. {"label": "770.2.i.f", "space_label": "770.2.i", "level": 770, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518547926221570, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 289067399611439578, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1, 1]], [13, [-2, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "char_is_real": false, "Nk2": 3080, "analytic_conductor": 6.14848095563859, "hecke_ring_index": 1, "level_radical": 770, "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": {"__RealLiteral__": 0, "data": "0.017", 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