# Stored data for newform 27.3.b.b, downloaded from the LMFDB on 19 April 2024. {"label": "27.3.b.b", "space_label": "27.3.b", "level": 27, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4503668397178907, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1449983693370611321, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [9, 0, 1]]], "qexp_display": "q+iq^{2}-5q^{4}-iq^{5}+5q^{7}-iq^{8}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 243, "analytic_conductor": 0.7356967137728017, "hecke_ring_index": 3, "level_radical": 3, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, 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true, "conrey_index": 26, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "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, 1], [0, 0], [-5, 0], [0, -1], [0, 0], [5, 0], [0, -1], [0, 0], [9, 0], [0, -5], [0, 0], [-10, 0], [0, 5], [0, 0], [-11, 0], [0, 6], [0, 0], [-16, 0], [0, 5], [0, 0], [45, 0], [0, -4], [0, 0], [16, 0], [0, -10], [0, 0], [-25, 0], [0, 10], [0, 0], [-1, 0], [0, -15], [0, 0], [-54, 0], [0, -5], [0, 0], [20, 0], [0, -16], [0, 0], [-9, 0], [0, 20], [0, 0], [50, 0], [0, 25], [0, 0], [36, 0], [0, -2], [0, 0], [-24, 0], [0, 16], [0, 0], [50, 0], [0, -9], [0, 0], [-45, 0], [0, -5], [0, 0], [-90, 0], [0, -10], [0, 0], [-76, 0], [0, -1], [0, 0], [91, 0], [0, 10], [0, 0], [-10, 0], [0, -30], [0, 0], [45, 0], [0, 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