# Stored data for newform 6003.2.a.q, downloaded from the LMFDB on 25 April 2024.
{"label": "6003.2.a.q", "space_label": "6003.2.a", "level": 6003, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071488371, "dim": 16, "is_polredabs": true, "trace_hash": 1542257749911374019, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [64, -336, -505, 3011, 1842, -6612, -2496, 5877, 1860, -2592, -795, 597, 187, -68, -22, 3, 1]], [5, [-33344, 189152, -126004, -506820, 121383, 455162, 11026, -186834, -37488, 36247, 13033, -2509, -1738, -112, 73, 16, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1-\\beta _{3})q^{5}+\\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": 64, "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": "0.006", "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": 3293284236965066467007900864, "field_disc_factorization": [[2, 6], [983, 1], [2207, 1], [4988831, 1], [4754387750341, 1]], "field_poly": [64, 336, -505, -3011, 1842, 6612, -2496, -5877, 1860, 2592, -795, -597, 187, 68, -22, -3, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.602", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "633.002", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "52906.611", "prec": 30}], 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