# Stored data for newform 2166.4.a.h, downloaded from the LMFDB on 16 April 2024.
{"label": "2166.4.a.h", "space_label": "2166.4.a", "level": 2166, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458704502, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 640545573566130790, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [19, 1]], [13, [38, 1]]], "qexp_display": "q+2q^{2}+3q^{3}+4q^{4}-19q^{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": 1, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.439", "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], [3, -1], [19, -1]], "trace_display": [2, 3, -19, 9], "traces": [0, 1, 2, 3, 4, -19, 6, 9, 8, 9, -38, -13, 12, -38, 18, -57, 16, 99, 18, 0, -76, 27, -26, 68, 24, 236, -76, 27, 36, -130, -114, -262, 32, -39, 198, -171, 36, 296, 0, 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