# Stored data for newform 98.10.a.e, downloaded from the LMFDB on 19 April 2024.
{"label": "98.10.a.e", "space_label": "98.10.a", "level": 98, "weight": 10, "hecke_orbit": 5, "hecke_orbit_code": 18014398677254242, "dim": 2, "is_polredabs": true, "nf_label": "2.2.2305.1", "trace_hash": 563774476963027565, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-57576, -14, 1]]], "qexp_display": "q-2^{4}q^{2}+(7+5\\beta )q^{3}+2^{8}q^{4}+(1365+\\cdots)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": 2, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [98, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 2305, "field_disc_factorization": [[5, 1], [461, 1]], "field_poly": [-576, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.648", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.175", "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], [7, -1]], "trace_display": [-32, 14, 2730, 0], "traces": [0, 2, -32, 14, 512, 2730, -224, 0, -8192, 75982, -43680, 44940, 3584, -100282, 0, 503160, 131072, 870408, -1215712, -508774, 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