# Stored data for newform 8.20.a.a, downloaded from the LMFDB on 23 April 2024.
{"label": "8.20.a.a", "space_label": "8.20.a", "level": 8, "weight": 20, "hecke_orbit": 1, "hecke_orbit_code": 335544328, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1453.1", "trace_hash": 1148069963023021839, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1144314864, 27912, 1]]], "qexp_display": "q+(-13956-\\beta )q^{3}+(613310+44\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3200, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 18.30533572451046, "hecke_ring_index": 1920, "level_radical": 2, "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": [8, 1, [7, 5], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2], "conrey_indexes": [1], "field_disc": 1453, "field_disc_factorization": [[1453, 1]], "field_poly": [-363, -1, 1], "hecke_ring_index_factorization": [[2, 7], [3, 1], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.048", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.616", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "19.2.3.c1", "atkin_lehner_eigenvals": [[2, -1]], "trace_display": [0, -27912, 1226620, 88510512], "traces": [0, 2, 0, -27912, 0, 1226620, 0, 88510512, 0, 743186538, 0, -7163787608, 0, -10126923604, 0, -134958171120, 0, -72045078940, 0, -3120480472232, 0, -9778613729472, 0, -14759207090288, 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