# Stored data for newform 600.4.f.a, downloaded from the LMFDB on 25 April 2024. {"label": "600.4.f.a", "space_label": "600.4.f", "level": 600, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 343664493144, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1744910530820776414, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [400, 0, 1]], [11, [56, 1]]], "qexp_display": "q+3iq^{3}+20iq^{7}-9q^{9}-56q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "f", "char_is_real": true, "Nk2": 9600, "analytic_conductor": 35.40114600344437, "hecke_ring_index": 1, "level_radical": 30, "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": "0.508", "prec": 17}, 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"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, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 20], [0, 0], [-9, 0], [0, 0], [-56, 0], [0, 0], [0, 86], [0, 0], [0, 0], [0, 0], [0, -106], [0, 0], [-4, 0], [0, 0], [-60, 0], [0, 0], [0, -136], [0, 0], [0, 0], [0, 0], [0, -27], [0, 0], [206, 0], [0, 0], [-152, 0], [0, 0], [0, -168], [0, 0], [0, 0], [0, 0], [0, 282], [0, 0], [-258, 0], [0, 0], [-246, 0], [0, 0], [0, -412], [0, 0], [0, 0], [0, 0], [0, 40], [0, 0], [-57, 0], [0, 0], [318, 0], [0, 0], [0, 126], [0, 0], [0, 0], [0, 0], [0, -12], [0, 0], [-56, 0], [0, 0], [-2, 0], [0, 0], [0, -180], [0, 0], [0, 0], [0, 0], [0, -388], [0, 0], [408, 0], [0, 0], [-672, 0], [0, 0], [0, -1170], [0, 0], [0, 0], [0, 0], [0, -1120], 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