# Stored data for newform 576.6.a.u, downloaded from the LMFDB on 19 April 2024.
{"label": "576.6.a.u", "space_label": "576.6.a", "level": 576, "weight": 6, "hecke_orbit": 21, "hecke_orbit_code": 90071992648073792, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1748031064823692017, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-14, 1]], [7, [208, 1]], [11, [536, 1]]], "qexp_display": "q+14q^{5}-208q^{7}-536q^{11}-694q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20736, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 92.38108021227684, "hecke_ring_index": 1, "level_radical": 6, "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": [576, 1, [127, 325, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "1.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.111", "prec": 17}, {"__RealLiteral__": 0, "data": "4.914", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1]], "trace_display": [0, 0, 14, -208], "traces": [0, 1, 0, 0, 0, 14, 0, -208, 0, 0, 0, -536, 0, -694, 0, 0, 0, 1278, 0, -1112, 0, 0, 0, -3216, 0, -2929, 0, 0, 0, 2918, 0, -2624, 0, 0, 0, -2912, 0, 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