# Stored data for newform 4014.2.a.x, downloaded from the LMFDB on 25 April 2024.
{"label": "4014.2.a.x", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463079854, "dim": 8, "is_polredabs": true, "trace_hash": 461873106473919860, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-48, 104, 189, -268, -34, 82, -7, -6, 1]], [7, [-844, -658, 515, 478, -56, -102, -9, 6, 1]], [11, [-981, 1227, 2664, -1017, -487, 200, 13, -11, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{5}-\\beta _{6})q^{5}+(-1+\\cdots)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": "0.003", "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": 1058123120832, "field_disc_factorization": [[2, 6], [3, 3], [3739, 1], [163771, 1]], "field_poly": [-28, 82, -23, -90, 43, 28, -14, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.118", "prec": 17}, {"__RealLiteral__": 0, "data": "7.026", "prec": 17}, {"__RealLiteral__": 0, "data": "2.609", "prec": 17}, {"__RealLiteral__": 0, "data": "147.437", "prec": 24}, {"__RealLiteral__": 0, "data": "109.913", "prec": 24}, {"__RealLiteral__": 0, "data": "4930.161", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], 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