# Stored data for newform 8046.2.a.t, downloaded from the LMFDB on 19 April 2024.
{"label": "8046.2.a.t", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953601902, "dim": 16, "is_polredabs": true, "trace_hash": 874758414169774380, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4260, 48580, 10545, -156722, 117, 186120, -16612, -102466, 15173, 27132, -5277, -3378, 752, 192, -46, -4, 1]], [11, [73728, -448512, -69120, 4159744, -4990272, -6747208, 14164162, -6234164, -617331, 829888, -58633, -38913, 4792, 794, -119, -6, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{5}+\\beta _{7}q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32184, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 64.2476334663222, "hecke_ring_index": 1, "level_radical": 894, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8046, 1, [299, 3727], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 149], "conrey_indexes": [1], "field_disc": 4209757505042040008759408384057143800, "field_disc_factorization": [[2, 3], [3, 1], [5, 2], [335051, 1], [162174665119, 1], [129125465802296617, 1]], "field_poly": [-4260, 48580, 10545, -156722, 117, 186120, -16612, -102466, 15173, 27132, -5277, -3378, 752, 192, -46, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.192", "prec": 17}, {"__RealLiteral__": 0, "data": "12.521", "prec": 20}, {"__RealLiteral__": 0, "data": "3.264", "prec": 17}, {"__RealLiteral__": 0, "data": "446.783", "prec": 24}, {"__RealLiteral__": 0, "data": "200.280", "prec": 24}, {"__RealLiteral__": 0, "data": "25324.497", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [149, 1]], "trace_display": [16, 0, 4, 6], "traces": [0, 16, 16, 0, 16, 4, 0, 6, 16, 0, 4, 6, 0, 6, 6, 0, 16, 1, 0, 10, 4, 0, 6, 10, 0, 28, 6, 0, 6, 6, 0, 21, 16, 0, 1, 16, 0, 17, 10, 0, 4, -4, 0, 16, 6, 0, 10, 25, 0, 36, 28, 0, 6, 14, 0, 19, 6, 0, 6, 6, 0, 23, 21, 0, 16, 20, 0, 22, 1, 0, 16, 10, 0, 16, 17, 0, 10, -2, 0, 37, 4, 0, -4, 33, 0, 43, 16, 0, 6, -3, 0, 28, 10, 0, 25, 14, 0, -3, 36, 0, 28, 34, 0, 34, 6, 0, 14, 40, 0, 40, 19, 0, 6, -13, 0, 13, 6, 0, 6, 47, 0, 98, 23, 0, 21, 0, 0, 20, 16, 0, 20, -36, 0, 44, 22, 0, 1, 24, 0, 70, 16, 0, 10, -43, 0, -2, 16, 0, 17, -16, 0, 20, 10, 0, -2, 55, 0, 36, 37, 0, 4, -16, 0, 29, -4, 0, 33, -18, 0, 34, 43, 0, 16, 14, 0, 86, 6, 0, -3, 13, 0, 40, 28, 0, 10, -56, 0, 45, 25, 0, 14, 21, 0, 72, -3, 0, 36, -48, 0, 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