# Stored data for newform 847.6.a.c, downloaded from the LMFDB on 23 April 2024.
{"label": "847.6.a.c", "space_label": "847.6.a", "level": 847, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355405135, "dim": 2, "is_polredabs": true, "nf_label": "2.2.57.1", "trace_hash": 1153105961231597519, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [6, 9, 1]]], "qexp_display": "q+(-4-\\beta )q^{2}-6\\beta q^{3}+(-2+9\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30492, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 135.8450953815946, "hecke_ring_index": 1, "level_radical": 77, "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": [847, 1, [122, 365], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 11], "conrey_indexes": [1], "field_disc": 57, "field_disc_factorization": [[3, 1], [19, 1]], "field_poly": [-14, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "1.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.375", "prec": 17}, {"__RealLiteral__": 0, "data": "9.429", "prec": 17}, {"__RealLiteral__": 0, "data": "2.106", "prec": 17}, {"__RealLiteral__": 0, "data": "63.403", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [11, -1]], "trace_display": [-9, -6, -18, -98], "traces": [0, 2, -9, -6, 5, -18, 198, -98, 9, 558, -204, 0, -1554, 350, 441, -1656, 113, -1800, -3537, 3266, 2520, 294, 0, 2088, 1854, -3238, 2016, -6372, -245, -6696, 6768, -20, 6129, 0, 5934, 882, 10629, 6232, 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