# Stored data for newform 368.6.a.e, downloaded from the LMFDB on 24 April 2024.
{"label": "368.6.a.e", "space_label": "368.6.a", "level": 368, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145648, "dim": 3, "is_polredabs": true, "nf_label": "3.3.7925.1", "trace_hash": 1075508048036829283, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [360, -225, -20, 1]]], "qexp_display": "q+(7+2\\beta _{1}+\\beta _{2})q^{3}+(-21-3\\beta _{1}+\\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": 13248, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 59.02124569117687, "hecke_ring_index": 2, "level_radical": 46, "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": [368, 1, [47, 277, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 23], "conrey_indexes": [1], "field_disc": 7925, "field_disc_factorization": [[5, 2], [317, 1]], "field_poly": [12, -13, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.861", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.264", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "265.908", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [23, -1]], "trace_display": [0, 20, -58, 282], "traces": [0, 3, 0, 20, 0, -58, 0, 282, 0, 121, 0, -136, 0, -1116, 0, -750, 0, -896, 0, -1654, 0, -1670, 0, 1587, 0, 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