# Stored data for newform 98.10.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "98.10.a.f", "space_label": "98.10.a", "level": 98, "weight": 10, "hecke_orbit": 6, "hecke_orbit_code": 22517998304624738, "dim": 2, "is_polredabs": true, "nf_label": "2.2.424.1", "trace_hash": 2183246665668988353, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-15264, 0, 1]]], "qexp_display": "q+2^{4}q^{2}+3\\beta q^{3}+2^{8}q^{4}-31\\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": 9800, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 50.47351194405957, "hecke_ring_index": 4, "level_radical": 14, "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": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [98, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 424, "field_disc_factorization": [[2, 3], [53, 1]], "field_poly": [-106, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "16.038", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "164.225", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1]], "trace_display": [32, 0, 0, 0], "traces": [0, 2, 32, 0, 512, 0, 0, 0, 8192, -8838, 0, -55288, 0, 0, 0, -315456, 131072, 0, -141408, 0, 0, 0, -884608, -1071408, 0, -646538, 0, 0, 0, -5182012, -5047296, 0, 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