# Stored data for newform 833.4.a.a, downloaded from the LMFDB on 20 April 2024.
{"label": "833.4.a.a", "space_label": "833.4.a", "level": 833, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 67109697, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1978963206077057930, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 1]], [3, [-8, 1]]], "qexp_display": "q-3q^{2}+8q^{3}+q^{4}-6q^{5}-24q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13328, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 49.14859103478193, "hecke_ring_index": 1, "level_radical": 119, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [833, 1, [52, 785], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [7, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.023", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [17, 1]], "trace_display": [-3, 8, -6, 0], "traces": [0, 1, -3, 8, 1, -6, -24, 0, 21, 37, 18, -24, 8, 58, 0, -48, -71, -17, -111, -116, -6, 0, 72, -60, 168, -89, -174, 80, 0, 30, 144, 172, 45, -192, 51, 0, 37, -58, 348, 464, -126, 342, 0, -148, -24, 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