# Stored data for newform 21.3.h.a, downloaded from the LMFDB on 19 April 2024. {"label": "21.3.h.a", "space_label": "21.3.h", "level": 21, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 481086668821, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1932593469727034804, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q+3\\zeta_{6}q^{3}-4\\zeta_{6}q^{4}+(-5-3\\zeta_{6})q^{7}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 21, "char_orbit_label": "h", "char_is_real": false, "Nk2": 189, "analytic_conductor": 0.5722085551566235, "hecke_ring_index": 1, "level_radical": 21, "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": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", "prec": 17}, 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"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, 0], [0, 3], [0, -4], [0, 0], [0, 0], [-5, -3], [0, 0], [-9, 9], [0, 0], [0, 0], [12, -12], [23, 0], [0, 0], [0, 0], [-16, 16], [0, 0], [0, 0], [-11, 11], [0, 0], [9, -24], [0, 0], [0, 0], [0, 0], [0, -25], [0, 0], [-27, 0], [-12, 32], [0, 0], [0, 0], [0, 13], [0, 0], [0, 0], [0, 0], [0, 0], [36, 0], [73, -73], [0, 0], [0, 69], [0, 0], [0, 0], [0, 0], [-61, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-48, 0], [16, 39], [0, 0], [0, 0], [0, -92], [0, 0], [0, 0], [0, 0], [0, 0], [-33, 0], [0, 0], [0, 0], [0, 0], [-74, 74], [0, 0], [72, -45], [64, 0], [0, 0], [0, 0], [0, 13], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 97], [0, 0], [75, -75], [44, 0], [0, 0], [0, 0], [-11, 11], [0, 0], [0, -81], [0, 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