# Stored data for newform 320.6.a.i, downloaded from the LMFDB on 20 April 2024.
{"label": "320.6.a.i", "space_label": "320.6.a", "level": 320, "weight": 6, "hecke_orbit": 9, "hecke_orbit_code": 36028797119627584, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1453628118274082633, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]]], "qexp_display": "q+2q^{3}+5^{2}q^{5}-62q^{7}-239q^{9}+\\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": 1, "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": 1, "inner_twist_count": 1, "level_primes": [2, 5], "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": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.716", "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], [5, -1]], "trace_display": [0, 2, 25, -62], "traces": [0, 1, 0, 2, 0, 25, 0, -62, 0, -239, 0, 144, 0, 654, 0, 50, 0, -1190, 0, -556, 0, -124, 0, 2182, 0, 625, 0, -964, 0, 1578, 0, 9660, 0, 288, 0, -1550, 0, 3534, 0, 1308, 0, 7462, 0, 7114, 0, -5975, 0, 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