# Stored data for newform 546.8.a.q, downloaded from the LMFDB on 25 April 2024.
{"label": "546.8.a.q", "space_label": "546.8.a", "level": 546, "weight": 8, "hecke_orbit": 17, "hecke_orbit_code": 72057594172146210, "dim": 6, "is_polredabs": true, "trace_hash": 2290512988400074898, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-936578573280000, 1283526912000, 34912599250, -14766175, -366951, -13, 1]]], "qexp_display": "q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(2+\\beta _{1})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34944, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 170.56222391433047, "hecke_ring_index": 72, "level_radical": 546, "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": [546, 1, [365, 157, 379], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 10774540072041737131757168099399406744, "field_disc_factorization": [[2, 3], [3, 2], [7, 1], [21378055698495510182057873213094061, 1]], "field_poly": [-933871993059968, 1422988371620, 34815194576, -17702143, -367021, -1, 1], "hecke_ring_index_factorization": [[2, 3], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "5.591", "prec": 17}, {"__RealLiteral__": 0, "data": "0.120", "prec": 17}, {"__RealLiteral__": 0, "data": "87.708", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2136.486", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1], [13, 1]], 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