# Stored data for newform 16.16.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "16.16.a.d", "space_label": "16.16.a", "level": 16, "weight": 16, "hecke_orbit": 4, "hecke_orbit_code": 13510799150546960, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1803502960427684233, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-3348, 1]]], "qexp_display": "q+3348q^{3}+52110q^{5}-2822456q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4096, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 22.830960815987265, "hecke_ring_index": 1, "level_radical": 2, "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": [16, 1, [15, 5], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2], "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": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.925", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.708", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "15.2.3.c1", "atkin_lehner_eigenvals": [[2, -1]], "trace_display": [0, 3348, 52110, -2822456], "traces": [0, 1, 0, 3348, 0, 52110, 0, -2822456, 0, -3139803, 0, -20586852, 0, -190073338, 0, 174464280, 0, 1646527986, 0, -1563257180, 0, -9449582688, 0, -9451116072, 0, -27802126025, 0, -58552201080, 0, -36902568330, 0, -71588483552, 0, -68924780496, 0, -147078182160, 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