# Stored data for newform 3.14.a.b, downloaded from the LMFDB on 18 April 2024.
{"label": "3.14.a.b", "space_label": "3.14.a", "level": 3, "weight": 14, "hecke_orbit": 2, "hecke_orbit_code": 4503599862251523, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1969.1", "trace_hash": 320078088126332764, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-16992, 54, 1]]], "qexp_display": "q+(-3^{3}-\\beta )q^{2}+3^{6}q^{3}+(10258+54\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 588, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 3.2169278685573808, "hecke_ring_index": 6, "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": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [3, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3], "conrey_indexes": [1], "field_disc": 1969, "field_disc_factorization": [[11, 1], [179, 1]], "field_poly": [-492, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.945", "prec": 17}, {"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "9.425", "prec": 17}, {"__RealLiteral__": 0, "data": "1.599", "prec": 17}, {"__RealLiteral__": 0, "data": "63.067", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "13.2.3.c1", "atkin_lehner_eigenvals": [[3, -1]], "trace_display": [-54, 1458, 40716, -21008], "traces": [0, 2, -54, 1458, 20516, 40716, -39366, -21008, -2025432, 1062882, 3437244, 672408, 14956164, 17532604, -121920336, 29681964, 11517200, 83838564, -28697814, 256293544, 172689624, 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