# Stored data for newform 4002.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "4002.2.a.z", "space_label": "4002.2.a", "level": 4002, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717820834, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 606871181370400855, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, -7, 0, 1]], [7, [-32, -15, 2, 1]], [11, [-8, -6, 2, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-\\beta _{2}q^{5}-q^{6}+(-2\\beta _{1}+\\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": 16008, "fricke_eigenval": 1, "atkin_lehner_string": "-++-", "analytic_conductor": 31.95613088891641, "hecke_ring_index": 1, "level_radical": 4002, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [4002, 1, [2669, 3133, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 23, 29], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.843", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.459", "prec": 20}, {"__RealLiteral__": 0, "data": "1.729", "prec": 17}, {"__RealLiteral__": 0, "data": "265.166", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [23, 1], [29, -1]], "trace_display": [3, -3, 0, -2], "traces": [0, 3, 3, -3, 3, 0, -3, -2, 3, 3, 0, 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