# Stored data for newform 2842.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "2842.2.a.z", "space_label": "2842.2.a", "level": 2842, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717819674, "dim": 5, "is_polredabs": true, "nf_label": "5.5.1019601.1", "trace_hash": 2053212805984162228, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-7, 6, 19, -7, -3, 1]], [5, [9, -47, 35, 6, -7, 1]]], "qexp_display": "q+q^{2}+(1+\\beta _{3})q^{3}+q^{4}+(1+\\beta _{1}-\\beta _{3}+\\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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [2842, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 29], "conrey_indexes": [1], "field_disc": 1019601, "field_disc_factorization": [[3, 3], [11, 1], [3433, 1]], "field_poly": [7, 24, -1, -10, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "4.663", "prec": 17}, {"__RealLiteral__": 0, "data": "0.764", "prec": 17}, {"__RealLiteral__": 0, "data": "58.865", "prec": 20}, {"__RealLiteral__": 0, "data": "14.011", "prec": 20}, {"__RealLiteral__": 0, "data": "1094.623", "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]], "trace_display": [5, 3, 7, 0], "traces": [0, 5, 5, 3, 5, 7, 3, 0, 5, 8, 7, 0, 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