# Stored data for newform 539.2.e.h, downloaded from the LMFDB on 19 April 2024. {"label": "539.2.e.h", "space_label": "539.2.e", "level": 539, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525472303055387, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1396632807178482824, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, -2, 1]], [3, [1, -1, 1]]], "qexp_display": "q+2\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-2+2\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 2156, "analytic_conductor": 4.303936668947013, "hecke_ring_index": 1, "level_radical": 77, "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": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": 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"conrey_index": 67, "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, 2], [1, -1], [-2, 2], [0, -1], [2, 0], [0, 0], [0, 0], [0, 2], [2, -2], [-1, 1], [0, 2], [4, 0], [0, 0], [-1, 0], [0, 4], [2, -2], [-4, 4], [0, 0], [2, 0], [0, 0], [-2, 0], [0, 1], [0, 0], [4, -4], [0, 8], [5, 0], [0, 0], [0, 0], [0, -2], [-7, 7], [-8, 8], [0, 1], [4, 0], [0, 0], [-4, 0], [0, -3], [0, 0], [4, -4], [0, 0], [-8, 0], [0, 0], [-6, 0], [0, -2], [2, -2], [-2, 2], [0, -8], [4, 0], [0, 0], [8, 0], [0, -2], [-8, 8], [6, -6], [0, 10], [1, 0], [0, 0], [0, 0], [0, 0], [-5, 5], [2, -2], [0, -12], [-14, 0], [0, 0], [-8, 0], [0, -4], [-2, 2], [7, -7], [0, 4], [1, 0], [0, 0], [-3, 0], [0, 0], [-4, 4], [6, 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