# Stored data for newform 2366.4.a.h, downloaded from the LMFDB on 25 April 2024.
{"label": "2366.4.a.h", "space_label": "2366.4.a", "level": 2366, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458704702, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2297544042513455477, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-8, 1]], [5, [-14, 1]]], "qexp_display": "q+2q^{2}+8q^{3}+4q^{4}+14q^{5}+2^{4}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37856, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 139.59851907358228, "hecke_ring_index": 1, "level_radical": 182, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [2366, 1, [339, 2199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.990", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1], [13, 1]], "trace_display": [2, 8, 14, 7], "traces": [0, 1, 2, 8, 4, 14, 16, 7, 8, 37, 28, 28, 32, 0, 14, 112, 16, 74, 74, -80, 56, 56, 56, -112, 64, 71, 0, 80, 28, 190, 224, -72, 32, 224, 148, 98, 148, 346, -160, 0, 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