# Stored data for newform 6003.2.a.r, downloaded from the LMFDB on 29 March 2024. {"label": "6003.2.a.r", "space_label": "6003.2.a", "level": 6003, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698858867, "dim": 16, "is_polredabs": true, "trace_hash": 1865968006402704004, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-192, 1088, -400, -6032, 6405, 8288, -9405, -5124, 5778, 1665, -1835, -295, 316, 27, -28, -1, 1]], [5, [3072, 47632, 206600, 271940, -82804, -313392, -45374, 127665, 32879, -25446, -7691, 2674, 862, -142, -47, 3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+\\beta _{8}q^{5}+(1-\\beta _{10}+\\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": 24012, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 47.934196333374615, "hecke_ring_index": 32, "level_radical": 2001, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [6003, 1, [668, 3133, 4555], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 22269550509090880033734533364992, "field_disc_factorization": [[2, 8], [5587241159, 1], [15569478603229957723, 1]], "field_poly": [-192, 1088, -400, -6032, 6405, 8288, -9405, -5124, 5778, 1665, -1835, -295, 316, 27, -28, -1, 1], "hecke_ring_index_factorization": [[2, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "12.500", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "532.809", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "45911.907", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, -1], [29, -1]], "trace_display": [1, 0, -3, 13], "traces": [0, 16, 1, 0, 25, -3, 0, 13, 0, 0, 11, -8, 0, 19, -16, 0, 31, 4, 0, 19, -16, 0, 6, 16, 0, 23, 15, 0, 18, 16, 0, 24, 21, 0, -9, 13, 0, 26, 0, 0, -22, 15, 0, 33, -6, 0, 1, -13, 0, 41, -13, 0, -26, -5, 0, 9, -40, 0, 1, -2, 0, 29, 32, 0, 28, -18, 0, 32, 26, 0, 18, -29, 0, 19, 16, 0, 64, 21, 0, 56, 0, 0, 14, -5, 0, 16, 20, 0, 1, -7, 0, -6, 25, 0, -11, -39, 0, 35, 109, 0, 30, 16, 0, 44, 35, 0, 24, 5, 0, 38, 74, 0, -19, -9, 0, -3, 25, 0, 8, -22, 0, -8, 21, 0, 60, 6, 0, 53, 50, 0, 0, 22, 0, 7, 47, 0, 10, 5, 0, -29, 95, 0, -5, -15, 0, -3, 53, 0, 25, 6, 0, -19, 5, 0, 3, -14, 0, 44, 42, 0, -124, 13, 0, 38, 71, 0, -1, -15, 0, -27, -2, 0, 65, -35, 0, 10, -24, 0, 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