# Stored data for newform 4018.2.a.bi, downloaded from the LMFDB on 29 March 2024. {"label": "4018.2.a.bi", "space_label": "4018.2.a", "level": 4018, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364155314, "dim": 4, "is_polredabs": true, "nf_label": "4.4.113481.1", "trace_hash": 1989812251351688320, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [5, [-27, -50, -15, 3, 1]], [11, [15, -49, -33, 0, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(-1+\\beta _{3})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16072, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 32.08389153215046, "hecke_ring_index": 1, "level_radical": 574, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [4018, 1, [493, 785], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 7, 41], "conrey_indexes": [1], "field_disc": 113481, "field_disc_factorization": [[3, 5], [467, 1]], "field_poly": [12, 3, -9, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.738", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.226", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "586.075", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [41, -1]], "trace_display": [-4, -4, -3, 0], 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