# Stored data for newform 1521.4.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "1521.4.a.d", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949221873, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 171685776419677731, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 1]], [5, [-9, 1]], [7, [-15, 1]]], "qexp_display": "q-3q^{2}+q^{4}+9q^{5}+15q^{7}+21q^{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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.915", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, -1]], "trace_display": [-3, 0, 9, 15], "traces": [0, 1, -3, 0, 1, 9, 0, 15, 21, 0, -27, 48, 0, 0, -45, 0, -71, -45, 0, 6, 9, 0, -144, 162, 0, -44, 0, 0, 15, 144, 0, 264, 45, 0, 135, 135, 0, 303, -18, 0, 189, 192, 0, 97, 48, 0, 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