# Stored data for newform 4017.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "4017.2.a.f", "space_label": "4017.2.a", "level": 4017, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170410929, "dim": 19, "is_polredabs": true, "trace_hash": 512819861725089155, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-4, 11, 378, -352, -2261, 1430, 5579, -2223, -7285, 1491, 5460, -278, -2388, -154, 594, 88, -77, -16, 4, 1]], [23, [-8242928272, 12979811948, 12769069416, -20472639619, -5827532004, 11334759526, 941458935, -2845281766, -104993838, 376748205, 18626126, -27230040, -2302565, 1002200, 125118, -15622, -2877, 26, 23, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}-\\beta _{16}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16068, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 32.07590649194833, "hecke_ring_index": 1, "level_radical": 4017, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4017, 1, [1340, 1237, 1756], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 13, 103], "conrey_indexes": [1], "field_disc": 273266880248347277744358829068858072, "field_disc_factorization": [[2, 3], [3, 2], [293, 1], [915104039556607, 1], [14155213021769401, 1]], "field_poly": [4, 11, -378, -352, 2261, 1430, -5579, -2223, 7285, 1491, -5460, -278, 2388, -154, -594, 88, 77, -16, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.126", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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