# Stored data for newform 4014.2.a.w, downloaded from the LMFDB on 24 April 2024.
{"label": "4014.2.a.w", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835709358, "dim": 7, "is_polredabs": true, "trace_hash": 969010351397727256, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [36, 174, 256, 92, -42, -22, 2, 1]], [7, [96, 80, -224, -48, 88, -8, -6, 1]], [11, [-3494, 394, 2028, -58, -254, -14, 9, 1]]], "qexp_display": "q-q^{2}+q^{4}+\\beta _{3}q^{5}+(1-\\beta _{2}+\\beta _{6})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16056, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 32.05195137134194, "hecke_ring_index": 1, "level_radical": 1338, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4014, 1, [893, 2233], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 223], "conrey_indexes": [1], "field_disc": 12638384896, "field_disc_factorization": [[2, 8], [49368691, 1]], "field_poly": [18, -38, -36, 50, 12, -14, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.138", "prec": 17}, {"__RealLiteral__": 0, "data": "6.477", "prec": 17}, {"__RealLiteral__": 0, "data": "1.184", "prec": 17}, {"__RealLiteral__": 0, "data": "123.977", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3763.871", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [223, 1]], "trace_display": [-7, 0, -2, 6], "traces": 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