# Stored data for newform 99.2.e.b, downloaded from the LMFDB on 16 April 2024. {"label": "99.2.e.b", "space_label": "99.2.e", "level": 99, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538831971, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1237378157383703601, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q+(-1-\\zeta_{6})q^{3}+2\\zeta_{6}q^{4}+3\\zeta_{6}q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 396, "analytic_conductor": 0.7905189800106758, "hecke_ring_index": 1, "level_radical": 33, "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": "0.014", "prec": 17}, 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"projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [-1, -1], [0, 2], [0, 3], [0, 0], [4, -4], [0, 0], [0, 3], [0, 0], [-1, 1], [2, -4], [0, -2], [0, 0], [3, -6], [-4, 4], [-6, 0], [0, 0], [2, 0], [-6, 6], [-8, 4], [0, 0], [0, -3], [0, 0], [-4, 4], [0, 0], [3, -6], [8, 0], [6, -6], [0, 0], [0, -8], [0, 0], [2, -1], [0, 0], [12, 0], [-6, 6], [2, 0], [0, 0], [-2, 4], [0, 0], [0, 0], [0, 0], [-8, 8], [-2, 0], [-9, 9], [0, 0], [-3, 3], [8, -4], [0, -9], [0, 0], [6, 6], [4, -4], [3, 0], [0, 0], [-3, 0], [0, 0], [-2, -2], [0, 0], [0, 0], [12, -6], [-8, 8], [0, 0], [12, 0], [-8, 0], [6, -6], [0, 0], [0, 13], [0, -12], [-3, 6], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [8, -4], [0, 4], [0, 4], [0, 0], [-2, 2], [-12, 0], [-9, 9], [0, 0], [18, -18], [-8, -8], [0, -18], [0, 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