# Stored data for newform 8046.2.a.k, downloaded from the LMFDB on 19 April 2024.
{"label": "8046.2.a.k", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307267438, "dim": 12, "is_polredabs": true, "trace_hash": 553942060986306119, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-3, -594, -1607, 345, 3573, 1551, -1561, -684, 334, 82, -31, -3, 1]], [11, [142707, -697652, 552829, 260965, -297080, 1779, 46139, -7069, -2421, 638, 11, -14, 1]]], "qexp_display": "q-q^{2}+q^{4}+\\beta _{1}q^{5}+(-1-\\beta _{9})q^{7}+\\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": "0.005", "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": 1440440266770493022577, "field_disc_factorization": [[3, 1], [157, 1], [619, 1], [43412393, 1], [113807261, 1]], "field_poly": [-3, -594, -1607, 345, 3573, 1551, -1561, -684, 334, 82, -31, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.657", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "266.222", "prec": 24}, {"__RealLiteral__": 0, "data": "17.141", "prec": 20}, {"__RealLiteral__": 0, "data": "11573.533", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": 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