# Stored data for newform 575.2.a.f, downloaded from the LMFDB on 18 April 2024. {"label": "575.2.a.f", "space_label": "575.2.a", "level": 575, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407487, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1355335617499230933, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -1, 1]], [3, [-5, 0, 1]]], "qexp_display": "q+\\beta q^{2}+(1-2\\beta )q^{3}+(-1+\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2300, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 4.591398116223622, "hecke_ring_index": 1, "level_radical": 115, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, 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1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "23.2.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "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], [0, 1], [1, -2], [-1, 1], [0, 0], [-2, -1], [-2, 2], [1, -2], [2, 0], [0, 0], [-4, 2], [-3, 1], [-3, 0], [2, 0], [0, 0], [0, -3], [-2, -2], [0, 2], [-2, 0], [0, 0], [-6, 2], [2, -2], [-1, 0], [5, 0], [0, 0], [0, -3], [-1, 2], [4, -2], [-3, 0], [0, 0], [3, -6], [-5, 1], [-8, 6], [-2, -4], [0, 0], [-2, 2], [0, -2], [0, -2], [-3, 6], [0, 0], [-1, 4], [2, -4], [0, 0], [6, -4], [0, 0], [0, -1], [1, -2], [6, 3], [1, -4], [0, 0], [2, 6], [3, -3], [2, 4], [2, 1], [0, 0], [-6, 2], [-2, 4], [0, -3], [4, -4], [0, 0], [-2, 8], [-6, -3], [-4, 4], [1, 2], [0, 0], [6, -2], [4, 2], [0, -2], [-1, 2], [0, 0], 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