# Stored data for newform 441.3.m.g, downloaded from the LMFDB on 20 April 2024. {"label": "441.3.m.g", "space_label": "441.3.m", "level": 441, "weight": 3, "hecke_orbit": 7, "hecke_orbit_code": 27022422448275897, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 125051602931776058, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [9, -3, 1]], [5, [27, -9, 1]]], "qexp_display": "q+3\\zeta_{6}q^{2}+(-5+5\\zeta_{6})q^{4}+(6-3\\zeta_{6})q^{5}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "m", "char_is_real": false, "Nk2": 3969, "analytic_conductor": 12.016379658289093, "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": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": 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"has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 0]], "char_orbit_index": 13, "prim_orbit_index": 4, "minimal_twist": "21.3.f.a", "char_is_minimal": false, "conrey_index": 19, "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, 3], [0, 0], [-5, 5], [6, -3], [0, 0], [0, 0], [-3, 0], [0, 0], [9, 9], [15, -15], [0, 0], [-8, 16], [0, 0], [0, 0], [0, 11], [6, 6], [0, 0], [12, -6], [-15, 30], [0, 0], [45, 0], [0, 0], [0, 0], [2, -2], [-48, 24], [0, 0], [0, 0], [9, 0], [0, 0], [7, 7], [-45, 45], [0, 0], [-18, 36], [0, 0], [0, 0], [0, -10], 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