# Stored data for newform 224.6.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "224.6.a.d", "space_label": "224.6.a", "level": 224, "weight": 6, "hecke_orbit": 4, "hecke_orbit_code": 13510798982775008, "dim": 2, "is_polredabs": true, "nf_label": "2.2.61.1", "trace_hash": 1653460927979615500, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-12, -14, 1]]], "qexp_display": "q+(7-\\beta )q^{3}+(17+7\\beta )q^{5}+7^{2}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8064, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 35.92597563810766, "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": 0, "analytic_rank_proved": true, "char_values": [224, 1, [127, 197, 129], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 61, "field_disc_factorization": [[61, 1]], "field_poly": [-15, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.909", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.374", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.256", "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], [7, -1]], "trace_display": [0, 14, 34, 98], "traces": [0, 2, 0, 14, 0, 34, 0, 98, 0, -266, 0, -420, 0, -490, 0, -616, 0, -1056, 0, -1246, 0, 686, 0, 504, 0, 306, 0, -3556, 0, -3904, 0, -2044, 0, 2672, 0, 1666, 0, -7488, 0, -9408, 0, 7832, 0, -10332, 0, -16478, 0, 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