# Stored data for newform 2166.4.a.n, downloaded from the LMFDB on 24 April 2024.
{"label": "2166.4.a.n", "space_label": "2166.4.a", "level": 2166, "weight": 4, "hecke_orbit": 14, "hecke_orbit_code": 58546795222927478, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1573066385912390726, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-72, -18, 1]], [13, [-536, 58, 1]]], "qexp_display": "q-2q^{2}+3q^{3}+4q^{4}+(9+\\beta )q^{5}-6q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34656, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 127.79813707243417, "hecke_ring_index": 6, "level_radical": 114, "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": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.445", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.394", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [19, -1]], "trace_display": [-4, 6, 18, 4], "traces": [0, 2, -4, 6, 8, 18, -12, 4, -16, 18, -36, 60, 24, -58, -8, 54, 32, 96, -36, 0, 72, 12, -120, -30, -48, 218, 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