# Stored data for newform 666.2.a.h, downloaded from the LMFDB on 19 April 2024. {"label": "666.2.a.h", "space_label": "666.2.a", "level": 666, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425148570, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 888447433713024887, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [2, 1]], [7, [-4, -1, 1]]], "qexp_display": "q-q^{2}+q^{4}-2q^{5}+(1-\\beta )q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2664, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 5.318036774617274, "hecke_ring_index": 1, "level_radical": 222, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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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, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [-1, 0], [0, 0], [1, 0], [-2, 0], [0, 0], [1, -1], [-1, 0], [0, 0], [2, 0], [-1, 1], [0, 0], [-1, 3], [-1, 1], [0, 0], [1, 0], [-1, -1], [0, 0], [-1, -1], [-2, 0], [0, 0], [1, -1], [-1, -3], [0, 0], [-1, 0], [1, -3], [0, 0], [1, -1], [-4, 2], [0, 0], [-4, -2], [-1, 0], [0, 0], [1, 1], [-2, 2], [0, 0], [-1, 0], [1, 1], [0, 0], [2, 0], [-6, -2], [0, 0], [-4, 2], [-1, 1], [0, 0], [1, 3], [0, 4], [0, 0], [-2, -1], [1, 0], [0, 0], [-1, 3], [-1, 1], [0, 0], [2, -2], [-1, 1], [0, 0], [4, -2], [-6, 2], [0, 0], [-2, -4], [4, 2], [0, 0], [1, 0], [2, -6], [0, 0], [-8, 4], [-1, -1], [0, 0], [2, -2], [8, -4], [0, 0], [1, 1], [1, 0], [0, 0], [-1, -1], [-5, 1], [0, 0], [-6, 0], [-2, 0], [0, 0], [6, 2], [3, -7], [0, 0], [2, 2], [4, -2], [0, 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