# Stored data for newform 256.8.a.q, downloaded from the LMFDB on 16 April 2024.
{"label": "256.8.a.q", "space_label": "256.8.a", "level": 256, "weight": 8, "hecke_orbit": 17, "hecke_orbit_code": 72057594172145920, "dim": 6, "is_polredabs": true, "trace_hash": 1987935925795688822, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-4610229696, 0, 13205808, 0, -8020, 0, 1]], [5, [-412405245440000, 0, 19577926400, 0, -254032, 0, 1]], [7, [-441929216, -1048384, 344, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+(\\beta _{1}+\\beta _{2})q^{5}+(-115+\\beta _{4}+\\cdots)q^{7}+\\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": 134217728, "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": {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, "analytic_rank_proved": true, "char_values": [256, 1, [255, 5], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [1], "field_disc": 24699249520281536, "field_disc_factorization": [[2, 6], [239, 1], [677, 2], [1877, 2]], "field_poly": [-15296, 0, 4820, 0, -163, 0, 1], "hecke_ring_index_factorization": [[2, 27]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.452", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "152.589", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6076.668", "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]], 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