# Stored data for newform 160.6.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "160.6.a.f", "space_label": "160.6.a", "level": 160, "weight": 6, "hecke_orbit": 6, "hecke_orbit_code": 22517998237515936, "dim": 3, "is_polredabs": true, "nf_label": "3.3.39180.1", "trace_hash": 1602936657139727079, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [408, -548, 10, 1]]], "qexp_display": "q+(-3-\\beta _{1})q^{3}-5^{2}q^{5}+(2+\\beta _{1}-\\beta _{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": 5760, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 25.661411170076903, "hecke_ring_index": 64, "level_radical": 10, "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": [160, 1, [31, 101, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 39180, "field_disc_factorization": [[2, 2], [3, 1], [5, 1], [653, 1]], "field_poly": [-24, -36, -1, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.892", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.681", "prec": 20}, {"__RealLiteral__": 0, "data": "2.399", "prec": 17}, {"__RealLiteral__": 0, "data": "237.401", "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], [5, 1]], "trace_display": [0, -10, -75, 6], "traces": [0, 3, 0, -10, 0, -75, 0, 6, 0, 467, 0, 396, 0, -354, 0, 250, 0, 1158, 0, -3192, 0, -820, 0, 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