# Stored data for newform 6018.2.a.w, downloaded from the LMFDB on 29 March 2024. {"label": "6018.2.a.w", "space_label": "6018.2.a", "level": 6018, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835711362, "dim": 9, "is_polredabs": true, "trace_hash": 183760071491459540, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-8, 24, 48, -126, -106, 129, 20, -22, -1, 1]], [7, [4, 164, 605, -836, -93, 284, 0, -31, 0, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+\\beta _{1}q^{5}-q^{6}-\\beta _{4}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24072, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 48.05397193640653, "hecke_ring_index": 1, "level_radical": 6018, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [6018, 1, [4013, 1771, 1123], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 17, 59], "conrey_indexes": [1], "field_disc": 1057100642567968, "field_disc_factorization": [[2, 5], [83, 1], [3449, 1], [115397147, 1]], "field_poly": [-8, 24, 48, -126, -106, 129, 20, -22, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.235", "prec": 17}, {"__RealLiteral__": 0, "data": "7.306", "prec": 17}, {"__RealLiteral__": 0, "data": "4.644", "prec": 17}, {"__RealLiteral__": 0, "data": "153.173", "prec": 24}, {"__RealLiteral__": 0, "data": "147.478", "prec": 24}, {"__RealLiteral__": 0, "data": "4992.419", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": 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