# Stored data for newform 1521.4.a.t, downloaded from the LMFDB on 25 April 2024.
{"label": "1521.4.a.t", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 20, "hecke_orbit_code": 85568392987149809, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 380796944926345180, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, -5, 1]], [5, [-50, -15, 1]], [7, [52, -15, 1]]], "qexp_display": "q+(3-\\beta )q^{2}+(5-5\\beta )q^{4}+(5+5\\beta )q^{5}+\\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": 2, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.899", "prec": 17}, {"__RealLiteral__": 0, "data": "0.218", "prec": 17}, {"__RealLiteral__": 0, "data": "9.132", "prec": 17}, {"__RealLiteral__": 0, "data": "2.263", "prec": 17}, {"__RealLiteral__": 0, "data": "60.820", "prec": 20}], "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": [5, 0, 15, 15], "traces": [0, 2, 5, 0, 5, 15, 0, 15, 15, 0, -5, -17, 0, 0, 46, 0, 57, -70, 0, -141, -175, 0, -170, -145, 0, 75, 0, 0, 80, -34, 0, -140, 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