# Stored data for newform 2842.2.a.w, downloaded from the LMFDB on 29 March 2024. {"label": "2842.2.a.w", "space_label": "2842.2.a", "level": 2842, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835708186, "dim": 5, "is_polredabs": true, "nf_label": "5.5.345065.1", "trace_hash": 604913131736568517, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [11, 6, -15, -5, 3, 1]], [5, [3, -5, -9, 10, 7, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+(-2-\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11368, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 22.693484254447885, "hecke_ring_index": 1, "level_radical": 406, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [2842, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 29], "conrey_indexes": [1], "field_disc": 345065, "field_disc_factorization": [[5, 1], [7, 1], [9859, 1]], "field_poly": [-3, 14, 8, -7, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.882", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "67.742", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1452.171", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1], [29, -1]], 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