# Stored data for newform 448.6.a.q, downloaded from the LMFDB on 19 April 2024.
{"label": "448.6.a.q", "space_label": "448.6.a", "level": 448, "weight": 6, "hecke_orbit": 17, "hecke_orbit_code": 72057594138591680, "dim": 2, "is_polredabs": true, "nf_label": "2.2.177.1", "trace_hash": 931913814108447608, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-8, 26, 1]], [5, [-3464, -62, 1]]], "qexp_display": "q+(-13-\\beta )q^{3}+(31+5\\beta )q^{5}-7^{2}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16128, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 71.85195127621532, "hecke_ring_index": 2, "level_radical": 14, "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": 0, "analytic_rank_proved": true, "char_values": [448, 1, [127, 197, 129], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 177, "field_disc_factorization": [[3, 1], [59, 1]], "field_poly": [-44, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "8.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "59.688", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1]], "trace_display": [0, -26, 62, -98], "traces": [0, 2, 0, -26, 0, 62, 0, -98, 0, 206, 0, 972, 0, -78, 0, -2576, 0, 560, 0, 2642, 0, 1274, 0, -2272, 0, 4522, 0, -5564, 0, 7808, 0, -5444, 0, -10512, 0, -3038, 0, -576, 0, 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