# Stored data for newform 198.10.a.n, downloaded from the LMFDB on 24 April 2024.
{"label": "198.10.a.n", "space_label": "198.10.a", "level": 198, "weight": 10, "hecke_orbit": 14, "hecke_orbit_code": 58546795323588806, "dim": 2, "is_polredabs": true, "nf_label": "2.2.889.1", "trace_hash": 2038625600103840911, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-2023290, -521, 1]]], "qexp_display": "q+2^{4}q^{2}+2^{8}q^{4}+(309-97\\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": 19800, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 101.97709556044688, "hecke_ring_index": 1, "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": 0, "analytic_rank_proved": true, "char_values": [198, 1, [155, 145], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 11], "conrey_indexes": [1], "field_disc": 889, "field_disc_factorization": [[7, 1], [127, 1]], "field_poly": [-222, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.924", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.434", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "67.273", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [11, 1]], "trace_display": [32, 0, 521, -7490], "traces": [0, 2, 32, 0, 512, 521, 0, -7490, 8192, 0, 8336, -29282, 0, 150314, -119840, 0, 131072, -690472, 0, 511212, 133376, 0, -468512, -874751, 0, 411771, 2405024, 0, -1917440, 2951058, 0, 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