# Stored data for newform 8046.2.a.o, downloaded from the LMFDB on 24 April 2024.
{"label": "8046.2.a.o", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816749422, "dim": 12, "is_polredabs": true, "trace_hash": 1988425613427225674, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [423, 5508, -3639, -6927, 3921, 3265, -1643, -724, 320, 76, -29, -3, 1]], [11, [639, 4500, 2745, -12831, -9084, 11799, 5783, -3849, -377, 358, -13, -10, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{5}+(1+\\beta _{6})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": "0.002", "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": 149969555862515024853177, "field_disc_factorization": [[3, 8], [31, 1], [43, 1], [97071119, 1], [176649691, 1]], "field_poly": [423, 5508, -3639, -6927, 3921, 3265, -1643, -724, 320, 76, -29, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.150", "prec": 17}, {"__RealLiteral__": 0, "data": "8.910", "prec": 17}, {"__RealLiteral__": 0, "data": "1.714", "prec": 17}, {"__RealLiteral__": 0, "data": "230.953", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9326.361", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": 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