# Stored data for newform 14.12.a.d, downloaded from the LMFDB on 18 April 2024.
{"label": "14.12.a.d", "space_label": "14.12.a", "level": 14, "weight": 12, "hecke_orbit": 4, "hecke_orbit_code": 13510799083438094, "dim": 2, "is_polredabs": true, "nf_label": "2.2.352969.1", "trace_hash": 450537715349294806, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-322344, 350, 1]]], "qexp_display": "q+2^{5}q^{2}+(-175-\\beta )q^{3}+2^{10}q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2016, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 10.756804527834245, "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": [14, 1, [3], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 352969, "field_disc_factorization": [[41, 1], [8609, 1]], "field_poly": [-88242, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "1.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.209", "prec": 17}, {"__RealLiteral__": 0, "data": "9.863", "prec": 17}, {"__RealLiteral__": 0, "data": "2.516", "prec": 17}, {"__RealLiteral__": 0, "data": "67.738", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1]], "trace_display": [64, -350, 3738, 33614], "traces": [0, 2, 64, -350, 2048, 3738, -11200, 33614, 65536, 412894, 119616, 953700, -358400, -225722, 1075648, 1463664, 2097152, 5116272, 13212608, 16531942, 3827712, -5882450, 30518400, 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