# Stored data for newform 8014.2.a.a, downloaded from the LMFDB on 24 April 2024.
{"label": "8014.2.a.a", "space_label": "8014.2.a", "level": 8014, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33562446, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 452958829712009318, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, 2, 1]]], "qexp_display": "q+q^{2}-2\\beta q^{3}+q^{4}+\\beta q^{5}-2\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32056, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 63.9921121798541, "hecke_ring_index": 1, "level_radical": 8014, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8014, 1, [5], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 4007], "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": "2.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.077", "prec": 17}, {"__RealLiteral__": 0, "data": "10.184", "prec": 20}, {"__RealLiteral__": 0, "data": "1.131", "prec": 17}, {"__RealLiteral__": 0, "data": "71.980", "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], [4007, 1]], "trace_display": [2, -2, 1, -1], "traces": [0, 2, 2, -2, 2, 1, -2, -1, 2, 6, 1, -1, -2, -2, -1, -6, 2, -2, 6, 3, 1, -14, -1, 1, -2, -7, -2, -20, -1, 4, -6, 2, 2, -14, -2, 7, 6, 14, 3, -8, 1, 18, -14, 0, -1, 13, 1, 6, -2, 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