# Stored data for newform 414.2.i.b, downloaded from the LMFDB on 27 April 2024. {"label": "414.2.i.b", "space_label": "414.2.i", "level": 414, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504149416739230, "dim": 10, "is_polredabs": true, "nf_label": "10.0.2357947691.1", "trace_hash": 729264034844917640, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [64009, 66792, 45012, 14399, 2178, -506, -165, -33, 0, 0, 1]]], "qexp_display": "q+\\zeta_{22}^{4}q^{2}+\\zeta_{22}^{8}q^{4}+(1-2\\zeta_{22}+\\cdots)q^{5}+\\cdots", "char_order": 11, "char_parity": 1, "char_degree": 10, "char_conductor": 23, "char_orbit_label": "i", "char_is_real": false, "Nk2": 1656, "analytic_conductor": 3.305806643681008, "hecke_ring_index": 1, "level_radical": 138, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 22, "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, 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