# Stored data for newform 112.10.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "112.10.a.d", "space_label": "112.10.a", "level": 112, "weight": 10, "hecke_orbit": 4, "hecke_orbit_code": 13510799049883760, "dim": 2, "is_polredabs": true, "nf_label": "2.2.11209.1", "trace_hash": 2262949290076782766, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-9984, -70, 1]]], "qexp_display": "q+(35-\\beta )q^{3}+(777+19\\beta )q^{5}+7^{4}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11200, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 57.68401365035379, "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": [112, 1, [15, 85, 17], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 11209, "field_disc_factorization": [[11, 1], [1019, 1]], "field_poly": [-2802, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.283", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.402", "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": [0, 70, 1554, 4802], "traces": [0, 2, 0, 70, 0, 1554, 0, 4802, 0, -14498, 0, -62388, 0, 122766, 0, -371552, 0, 73584, 0, -1171198, 0, 168070, 0, -2262384, 0, 5394106, 0, -315980, 0, -1923360, 0, -2977884, 0, 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