# Stored data for newform 14.14.a.d, downloaded from the LMFDB on 18 April 2024.
{"label": "14.14.a.d", "space_label": "14.14.a", "level": 14, "weight": 14, "hecke_orbit": 4, "hecke_orbit_code": 13510799116992526, "dim": 2, "is_polredabs": true, "nf_label": "2.2.78985.1", "trace_hash": 341915450513562667, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1668816, -1106, 1]]], "qexp_display": "q+2^{6}q^{2}+(553-5\\beta )q^{3}+2^{12}q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2744, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 15.012330053267778, "hecke_ring_index": 2, "level_radical": 14, "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": [14, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 78985, "field_disc_factorization": [[5, 1], [15797, 1]], "field_poly": [-19746, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.059", "prec": 17}, {"__RealLiteral__": 0, "data": "9.838", "prec": 17}, {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "69.698", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "13.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1]], "trace_display": [128, 1106, 75530, -235298], "traces": [0, 2, 128, 1106, 8192, 75530, 70784, -235298, 524288, 1372222, 4833920, 3335860, 4530176, 7998102, -15059072, 72572240, 33554432, 39024832, 87822208, 124092934, 309370880, 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