# Stored data for newform 3.43.b.a, downloaded from the LMFDB on 25 April 2024.
{"label": "3.43.b.a", "space_label": "3.43.b", "level": 3, "weight": 43, "hecke_orbit": 1, "hecke_orbit_code": 69440897027, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1127593904710085817, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q-3^{21}q^{3}+2^{42}q^{4}+146246101081752386q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 5547, "analytic_conductor": 33.518312151630774, "hecke_ring_index": 1, "level_radical": 3, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [3, 2, [2], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [3], "conrey_indexes": [2], "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": "0.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.804", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.256", "prec": 17}], "related_objects": [], "self_twist_discs": [-3], "cm_discs": [-3], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "42.2.1.d2", "trace_display": [0, -10460353203, 0, 146246101081752386], "traces": [0, 1, 0, -10460353203, 4398046511104, 0, 0, 146246101081752386, 0, 109418989131512359209, 0, 0, -46005119909369701466112, -357172201574584820855926, 0, 0, 19342813113834066795298816, 0, 0, -165282232922573499748305862, 0, -1529785871876770335747992358, 0, 0, 0, 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