# Stored data for newform 176.6.a.e, downloaded from the LMFDB on 20 April 2024.
{"label": "176.6.a.e", "space_label": "176.6.a", "level": 176, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145456, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1519267532567729995, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-29, 1]]], "qexp_display": "q+29q^{3}-31q^{5}+230q^{7}+598q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6336, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 28.227552287084592, "hecke_ring_index": 1, "level_radical": 22, "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": [176, 1, [111, 133, 145], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "4.785", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, 1]], "trace_display": [0, 29, -31, 230], "traces": [0, 1, 0, 29, 0, -31, 0, 230, 0, 598, 0, -121, 0, 112, 0, -899, 0, -1142, 0, 612, 0, 6670, 0, 1941, 0, -2164, 0, 10295, 0, 1192, 0, 1037, 0, -3509, 0, -7130, 0, 8083, 0, 3248, 0, -10444, 0, -58, 0, -18538, 0, -8656, 0, 36093, 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