# Stored data for newform 320.6.a.z, downloaded from the LMFDB on 19 April 2024.
{"label": "320.6.a.z", "space_label": "320.6.a", "level": 320, "weight": 6, "hecke_orbit": 26, "hecke_orbit_code": 112589990784926016, "dim": 4, "is_polredabs": true, "nf_label": "4.4.81998080.1", "trace_hash": 2084232884412873386, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [83520, 0, -848, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{3}-5^{2}q^{5}+(6\\beta _{1}-\\beta _{2})q^{7}+(181+\\cdots)q^{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": 2048, "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": "0.505", "prec": 17}, "analytic_rank_proved": true, "char_values": [320, 1, [191, 261, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 81998080, "field_disc_factorization": [[2, 8], [5, 1], [29, 1], [47, 2]], "field_poly": [-367, -376, -100, 0, 1], "hecke_ring_index_factorization": [[2, 11]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.672", "prec": 17}, {"__RealLiteral__": 0, "data": "0.503", "prec": 17}, {"__RealLiteral__": 0, "data": "68.991", "prec": 20}, {"__RealLiteral__": 0, "data": "35.859", "prec": 20}, {"__RealLiteral__": 0, "data": "1836.530", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, 0, -100, 0], "traces": [0, 4, 0, 0, 0, -100, 0, 0, 0, 724, 0, 0, 0, 584, 0, 0, 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