# Stored data for newform 825.6.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "825.6.a.a", "space_label": "825.6.a", "level": 825, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100664121, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2269613515656251737, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]]], "qexp_display": "q-q^{2}-9q^{3}-31q^{4}+9q^{6}+26q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29700, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 132.31665134570903, "hecke_ring_index": 1, "level_radical": 165, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [825, 1, [551, 727, 376], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.034", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.138", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [11, -1]], "trace_display": [-1, -9, 0, 26], "traces": [0, 1, -1, -9, -31, 0, 9, 26, 63, 81, 0, 121, 279, 692, -26, 0, 929, 1442, -81, 2160, 0, -234, -121, 1582, -567, 0, -692, -729, -806, -5526, 0, 4792, -2945, -1089, -1442, 0, -2511, 10194, 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