# Stored data for newform 320.6.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "320.6.a.r", "space_label": "320.6.a", "level": 320, "weight": 6, "hecke_orbit": 18, "hecke_orbit_code": 76561193765962048, "dim": 2, "is_polredabs": true, "nf_label": "2.2.280.1", "trace_hash": 908336562907063355, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-264, 8, 1]]], "qexp_display": "q+(-4+\\beta )q^{3}-5^{2}q^{5}+(52+\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11520, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 51.322822340153806, "hecke_ring_index": 2, "level_radical": 10, "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": [320, 1, [191, 261, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 280, "field_disc_factorization": [[2, 3], [5, 1], [7, 1]], "field_poly": [-70, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.110", "prec": 17}, {"__RealLiteral__": 0, "data": "9.885", "prec": 17}, {"__RealLiteral__": 0, "data": "0.662", "prec": 17}, {"__RealLiteral__": 0, "data": "71.425", "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], [5, 1]], "trace_display": [0, -8, -50, 104], "traces": [0, 2, 0, -8, 0, -50, 0, 104, 0, 106, 0, -320, 0, 100, 0, 200, 0, 580, 0, -720, 0, 144, 0, 1688, 0, 1250, 0, -2960, 0, -108, 0, 9840, 0, 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