# Stored data for newform 147.4.g.b, downloaded from the LMFDB on 25 April 2024. {"label": "147.4.g.b", "space_label": "147.4.g", "level": 147, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4504012011339923, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 664060455943395906, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [19, [24300, 270, 1]]], "qexp_display": "q+(3+3\\zeta_{6})q^{3}+(-8+8\\zeta_{6})q^{4}+3^{3}\\zeta_{6}q^{9}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 21, "char_orbit_label": "g", "char_is_real": false, "Nk2": 2352, "analytic_conductor": 8.67328077084387, "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": 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"conrey_index": 68, "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, 0], [3, 3], [-8, 8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 27], [0, 0], [0, 0], [-48, 24], [-36, 72], [0, 0], [0, 0], [0, -64], [0, 0], [0, 0], [-180, 90], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [125, -125], [0, 0], [-81, 162], [0, 0], [0, 0], [0, 0], [90, 90], [0, 0], [0, 0], [0, 0], [0, 0], [-216, 0], [0, 110], [0, 0], [-324, 324], [0, 0], [0, 0], [0, 0], [520, 0], [0, 0], [0, 0], [0, 0], [0, 0], [192, -384], [0, 0], [0, 0], [0, 0], [-288, -288], [0, 0], [0, 0], [0, 0], [0, 0], [-810, 0], [0, 0], [0, 0], [0, 0], [1080, -540], [0, 0], [0, 0], [512, 0], [0, 0], [0, 0], [880, -880], [0, 0], [0, 0], [0, 0], 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