# Stored data for newform 1288.1.bi.e, downloaded from the LMFDB on 23 April 2024. {"label": "1288.1.bi.e", "space_label": "1288.1.bi", "level": 1288, "weight": 1, "hecke_orbit": 5, "hecke_orbit_code": 18016734988469512, "dim": 20, "is_polredabs": true, "nf_label": "20.0.5829995856912430117421056.1", "trace_hash": 1495022677662638926, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [121, 0, -605, 0, 1089, 0, 0, 0, 484, 0, 462, 0, 330, 0, 165, 0, 55, 0, 11, 0, 1]], [11, [0, 1]]], "qexp_display": "q+\\zeta_{44}^{18}q^{2}+(\\zeta_{44}^{11}+\\zeta_{44}^{13})q^{3}+\\cdots", "char_order": 22, "char_parity": -1, "char_degree": 10, "char_conductor": 1288, "char_orbit_label": "bi", "char_is_real": false, "Nk2": 1288, "analytic_conductor": 0.642795736271307, "hecke_ring_index": 11, "level_radical": 322, "projective_image": "D22", "projective_image_type": "Dn", "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 44, "field_poly_is_real_cyclotomic": false, 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