# Stored data for newform 256.8.a.g, downloaded from the LMFDB on 05 May 2024.
{"label": "256.8.a.g", "space_label": "256.8.a", "level": 256, "weight": 8, "hecke_orbit": 7, "hecke_orbit_code": 27021597898440960, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 2059425054649611549, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1352, 0, 1]], [5, [0, 1]], [7, [0, 1]]], "qexp_display": "q+13\\beta q^{3}-835q^{9}-181\\beta q^{11}+22182q^{17}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16384, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 79.97056652393518, "hecke_ring_index": 2, "level_radical": 2, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.759", "prec": 17}, "analytic_rank_proved": true, "char_values": [256, 1, [255, 5], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 4, "level_primes": [2], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.353", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "310.442", "prec": 24}], "related_objects": [], "self_twist_discs": [-8], "cm_discs": [-8], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "7.2.1.d1", "atkin_lehner_eigenvals": [[2, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, 0, 0, 0, 0, 0, -1670, 0, 0, 0, 0, 0, 0, 0, 44364, 0, 0, 0, 0, 0, 0, 0, -156250, 0, 0, 0, 0, 0, 0, 0, -37648, 0, 0, 0, 0, 0, 0, 0, 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