# Stored data for newform 1521.4.a.p, downloaded from the LMFDB on 19 April 2024.
{"label": "1521.4.a.p", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 16, "hecke_orbit_code": 67553994477667825, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 1359958107317930227, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-7, 0, 1]], [5, [-112, 0, 1]], [7, [-22, 1]]], "qexp_display": "q+\\beta q^{2}-q^{4}-4\\beta q^{5}+22q^{7}-9\\beta q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24336, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 89.74190511873148, "hecke_ring_index": 1, "level_radical": 39, "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": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "1.881", "prec": 17}, {"__RealLiteral__": 0, "data": "0.347", "prec": 17}, {"__RealLiteral__": 0, "data": "14.797", "prec": 20}, {"__RealLiteral__": 0, "data": "3.418", "prec": 17}, {"__RealLiteral__": 0, "data": "143.950", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [13, 1]], "trace_display": [0, 0, 0, 44], "traces": [0, 2, 0, 0, -2, 0, 0, 44, 0, 0, -56, 0, 0, 0, 0, 0, -110, 0, 0, 252, 0, 0, -28, 0, 0, -26, 0, 0, -44, 0, 0, 364, 0, 0, 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