# Stored data for newform 8046.2.a.r, downloaded from the LMFDB on 25 April 2024.
{"label": "8046.2.a.r", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698860910, "dim": 14, "is_polredabs": true, "trace_hash": 554518351848559887, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-7083, 6282, 53551, 9808, -55580, -12990, 24455, 5066, -5559, -882, 680, 70, -42, -2, 1]], [11, [-331776, 1124352, 2629632, -315840, -1875456, -104152, 476189, 37906, -56147, -3815, 3294, 150, -93, -2, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{5}-\\beta _{11}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": "0.000", "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": 508901762556997325244819551817, "field_disc_factorization": [[3, 3], [109, 1], [193, 1], [102871, 1], [1792073, 1], [4860016298201, 1]], "field_poly": [-7083, 6282, 53551, 9808, -55580, -12990, 24455, 5066, -5559, -882, 680, 70, -42, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.098", "prec": 17}, {"__RealLiteral__": 0, "data": "11.585", "prec": 20}, {"__RealLiteral__": 0, "data": "9.030", "prec": 17}, {"__RealLiteral__": 0, "data": "424.538", "prec": 24}, {"__RealLiteral__": 0, "data": "801.674", "prec": 24}, {"__RealLiteral__": 0, "data": "24998.265", "prec": 30}], "related_objects": [], 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