# Stored data for newform 4018.2.a.y, downloaded from the LMFDB on 06 May 2024.
{"label": "4018.2.a.y", "space_label": "4018.2.a", "level": 4018, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090450354, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 2206234362523266286, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 2, 1]], [5, [-7, 2, 1]], [11, [-14, 4, 1]]], "qexp_display": "q+q^{2}+(-1+\\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": 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": 8, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [4018, 1, [493, 785], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 41], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.131", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.875", "prec": 20}, {"__RealLiteral__": 0, "data": "0.371", "prec": 17}, {"__RealLiteral__": 0, "data": "75.122", "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], [7, 1], [41, -1]], "trace_display": [2, -2, -2, 0], "traces": [0, 2, 2, -2, 2, -2, -2, 0, 2, 0, -2, -4, -2, -4, 0, 10, 2, -2, 0, 0, -2, 0, -4, 0, -2, 8, -4, -2, 0, -10, 10, 14, 2, -8, -2, 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