# Stored data for newform 4018.2.a.bj, downloaded from the LMFDB on 19 April 2024.
{"label": "4018.2.a.bj", "space_label": "4018.2.a", "level": 4018, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991525810, "dim": 4, "is_polredabs": true, "nf_label": "4.4.11348.1", "trace_hash": 1279018396968829435, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [8, 4, -10, -1, 1]], [5, [-28, -40, -12, 3, 1]], [11, [-16, 28, -8, -4, 1]]], "qexp_display": "q-q^{2}+\\beta _{2}q^{3}+q^{4}+(-1+\\beta _{2}-\\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": 16072, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 32.08389153215046, "hecke_ring_index": 2, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4018, 1, [493, 785], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 41], "conrey_indexes": [1], "field_disc": 11348, "field_disc_factorization": [[2, 2], [2837, 1]], "field_poly": [2, 1, -5, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.135", "prec": 17}, {"__RealLiteral__": 0, "data": "3.774", "prec": 17}, {"__RealLiteral__": 0, "data": "1.539", "prec": 17}, {"__RealLiteral__": 0, "data": "37.186", "prec": 20}, {"__RealLiteral__": 0, "data": "21.864", "prec": 20}, {"__RealLiteral__": 0, "data": "536.970", "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, 1, -3, 0], "traces": [0, 4, -4, 1, 4, -3, -1, 0, -4, 9, 3, 4, 1, 6, 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