# Stored data for newform 525.6.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "525.6.a.c", "space_label": "525.6.a", "level": 525, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355404813, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2219029685534632533, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]]], "qexp_display": "q-q^{2}+9q^{3}-31q^{4}-9q^{6}+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": 18900, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 84.20150540181483, "hecke_ring_index": 1, "level_radical": 105, "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": [525, 1, [176, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7], "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": "0.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.871", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.619", "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], [7, -1]], "trace_display": [-1, 9, 0, 49], "traces": [0, 1, -1, 9, -31, 0, -9, 49, 63, 81, 0, -340, -279, -454, -49, 0, 929, 798, -81, 892, 0, 441, 340, 3192, 567, 0, 454, 729, -1519, -8242, 0, -2496, -2945, -3060, -798, 0, -2511, -9798, 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