# Stored data for newform 4014.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "4014.2.a.k", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307263406, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1284505159934367687, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-4, 2, 1]], [7, [0, 1]], [11, [-9, -3, 1]]], "qexp_display": "q+q^{2}+q^{4}-2\\beta q^{5}+q^{8}-2\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16056, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 32.05195137134194, "hecke_ring_index": 1, "level_radical": 1338, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [4014, 1, [893, 2233], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 223], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.410", "prec": 17}, {"__RealLiteral__": 0, "data": "9.321", "prec": 17}, {"__RealLiteral__": 0, "data": "4.189", "prec": 17}, {"__RealLiteral__": 0, "data": "63.161", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [223, -1]], "trace_display": [2, 0, -2, 0], "traces": [0, 2, 2, 0, 2, -2, 0, 0, 2, 0, -2, 3, 0, -3, 0, 0, 2, -4, 0, 5, -2, 0, 3, -4, 0, 2, -3, 0, 0, 3, 0, 12, 2, 0, -4, 0, 0, 4, 5, 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