# Stored data for newform 528.6.a.o, downloaded from the LMFDB on 24 April 2024.
{"label": "528.6.a.o", "space_label": "528.6.a", "level": 528, "weight": 6, "hecke_orbit": 15, "hecke_orbit_code": 63050394883850768, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 1441940293216774656, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [16, -58, 1]], [7, [-26384, 146, 1]]], "qexp_display": "q-9q^{3}+(29-5\\beta )q^{5}+(-73+31\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19008, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 84.68265686125378, "hecke_ring_index": 2, "level_radical": 66, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [528, 1, [463, 133, 353, 145], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 11], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "1.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "9.260", "prec": 17}, {"__RealLiteral__": 0, "data": "0.968", "prec": 17}, {"__RealLiteral__": 0, "data": "60.540", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, -1]], "trace_display": [0, -18, 58, -146], "traces": [0, 2, 0, -18, 0, 58, 0, -146, 0, 162, 0, 242, 0, -130, 0, -522, 0, -728, 0, 828, 0, 1314, 0, 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