# Stored data for newform 432.6.a.f, downloaded from the LMFDB on 03 May 2024.
{"label": "432.6.a.f", "space_label": "432.6.a", "level": 432, "weight": 6, "hecke_orbit": 6, "hecke_orbit_code": 22517998237516208, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1627101296990876216, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [7, [-211, 1]], [11, [0, 1]]], "qexp_display": "q+211q^{7}-775q^{13}-3143q^{19}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15552, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 69.28581015920763, "hecke_ring_index": 1, "level_radical": 6, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [432, 1, [271, 325, 353], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.513", "prec": 17}], "related_objects": [], "self_twist_discs": [-3], "cm_discs": [-3], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.1.d1", "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "trace_display": [0, 0, 0, 211], "traces": [0, 1, 0, 0, 0, 0, 0, 211, 0, 0, 0, 0, 0, -775, 0, 0, 0, 0, 0, -3143, 0, 0, 0, 0, 0, -3125, 0, 0, 0, 0, 0, 10324, 0, 0, 0, 0, 0, -9889, 0, 0, 0, 0, 0, 3352, 0, 0, 0, 0, 0, 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