# Stored data for newform 441.4.a.k, downloaded from the LMFDB on 25 April 2024.
{"label": "441.4.a.k", "space_label": "441.4.a", "level": 441, "weight": 4, "hecke_orbit": 11, "hecke_orbit_code": 45035996340814265, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 266471492991608240, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 1]], [5, [3, 1]], [13, [-64, 1]]], "qexp_display": "q+3q^{2}+q^{4}-3q^{5}-21q^{8}-9q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7056, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 26.019842312531612, "hecke_ring_index": 1, "level_radical": 21, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.106", "prec": 17}, {"__RealLiteral__": 0, "data": "4.872", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "trace_display": [3, 0, -3, 0], "traces": [0, 1, 3, 0, 1, -3, 0, 0, -21, 0, -9, 15, 0, 64, 0, 0, -71, 84, 0, 16, -3, 0, 45, 84, 0, -116, 192, 0, 0, 297, 0, 253, -45, 0, 252, 0, 0, -316, 48, 0, 63, 360, 0, 26, 15, 0, 252, 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