# Stored data for newform 882.4.a.r, downloaded from the LMFDB on 20 April 2024.
{"label": "882.4.a.r", "space_label": "882.4.a", "level": 882, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408178, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 502107812705504845, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-15, 1]], [11, [-9, 1]], [13, [88, 1]]], "qexp_display": "q+2q^{2}+4q^{4}+15q^{5}+8q^{8}+30q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14112, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 52.039684625063224, "hecke_ring_index": 1, "level_radical": 42, "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": [882, 1, [785, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "1.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "2.021", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.062", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1]], "trace_display": [2, 0, 15, 0], "traces": [0, 1, 2, 0, 4, 15, 0, 0, 8, 0, 30, 9, 0, -88, 0, 0, 16, 84, 0, 104, 60, 0, 18, 84, 0, 100, -176, 0, 0, -51, 0, 185, 32, 0, 168, 0, 0, 44, 208, 0, 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