# Stored data for newform 4016.2.a.j, downloaded from the LMFDB on 20 April 2024.
{"label": "4016.2.a.j", "space_label": "4016.2.a", "level": 4016, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679892912, "dim": 14, "is_polredabs": true, "trace_hash": 896248915180713767, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-196, 359, 4627, -5599, -6676, 6861, 4161, -3287, -1422, 747, 274, -79, -27, 3, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+\\beta _{4}q^{5}+(-1+\\beta _{9})q^{7}+(1+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16064, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 32.0679214517462, "hecke_ring_index": 1, "level_radical": 502, "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": [4016, 1, [2511, 3013, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 251], "conrey_indexes": [1], "field_disc": 2361623885811505126335382329, "field_disc_factorization": [[3, 1], [27010519, 1], [29144495962375560997, 1]], "field_poly": [-196, -359, 4627, 5599, -6676, -6861, 4161, 3287, -1422, -747, 274, 79, -27, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.156", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "437.409", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "25692.806", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c1", 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