# Stored data for newform 8018.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "8018.2.a.b", "space_label": "8018.2.a", "level": 8018, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660932946, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1518116640651737872, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -1, 1]]], "qexp_display": "q-q^{2}+\\beta q^{3}+q^{4}+(-1+2\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32072, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 64.0240523406626, "hecke_ring_index": 1, "level_radical": 8018, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [8018, 1, [2111, 1901], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 19, 211], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.043", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.620", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [19, 1], [211, 1]], "trace_display": [-2, 1, 0, 4], "traces": [0, 2, -2, 1, 2, 0, -1, 4, -2, -3, 0, -1, 1, -6, -4, 5, 2, -6, 3, -2, 0, 2, 1, 6, -1, 0, 6, -2, 4, -7, -5, 3, -2, 2, 6, 0, -3, -2, 2, -3, 0, 4, -2, -3, -1, 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