# Stored data for newform 8016.2.a.bf, downloaded from the LMFDB on 19 April 2024.
{"label": "8016.2.a.bf", "space_label": "8016.2.a", "level": 8016, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482047824, "dim": 12, "is_polredabs": true, "trace_hash": 1938655968873429798, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [3008, 6960, -2450, -11022, 1411, 6350, -1072, -1453, 309, 131, -31, -4, 1]], [7, [-27584, -4416, 57280, 11176, -36387, -8480, 8707, 2618, -719, -297, 6, 11, 1]], [11, [128, -2624, 7728, 32848, 3892, -22660, -6648, 4085, 1567, -130, -75, 1, 1]], [13, [55424, 196480, 19496, -206112, -32028, 71278, 3618, -10279, 554, 520, -53, -8, 1]]], "qexp_display": "q-q^{3}+\\beta _{1}q^{5}+(-1+\\beta _{9})q^{7}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32064, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 64.00808226025836, "hecke_ring_index": 2, "level_radical": 1002, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [8016, 1, [3007, 2005, 5345, 673], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 167], "conrey_indexes": [1], "field_disc": 107147381080216806322496, "field_disc_factorization": [[2, 6], [161543, 1], [10363666821703123, 1]], "field_poly": [3008, 6960, -2450, -11022, 1411, 6350, -1072, -1453, 309, 131, -31, -4, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.513", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "278.960", "prec": 24}, {"__RealLiteral__": 0, "data": 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