# Stored data for newform 2736.1.ga.b, downloaded from the LMFDB on 19 April 2024. {"label": "2736.1.ga.b", "space_label": "2736.1.ga", "level": 2736, "weight": 1, "hecke_orbit": 2, "hecke_orbit_code": 4514319882521264, "dim": 6, "is_polredabs": true, "nf_label": "6.0.19683.1", "trace_hash": 547884597673410495, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [3, 9, 9, 0, -3, 0, 1]]], "qexp_display": "q+(-\\zeta_{18}^{7}-\\zeta_{18}^{8})q^{7}+(-\\zeta_{18}^{2}-\\zeta_{18}^{6}+\\cdots)q^{13}+\\cdots", "char_order": 18, "char_parity": -1, "char_degree": 6, "char_conductor": 76, "char_orbit_label": "ga", "char_is_real": false, "Nk2": 2736, "analytic_conductor": 1.3654418745638945, "hecke_ring_index": 1, "level_radical": 114, "projective_image": "D18", "projective_image_type": "Dn", "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 18, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 1, "is_self_dual": false, 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