# Stored data for newform 4014.2.a.p, downloaded from the LMFDB on 24 April 2024.
{"label": "4014.2.a.p", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444115886, "dim": 3, "is_polredabs": true, "nf_label": "3.3.473.1", "trace_hash": 270411528660078400, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [11, -8, -1, 1]], [7, [-11, 22, -9, 1]], [11, [-3, 7, 6, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{2}q^{5}+(3-\\beta _{1})q^{7}+q^{8}+\\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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [4014, 1, [893, 2233], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 223], "conrey_indexes": [1], "field_disc": 473, "field_disc_factorization": [[11, 1], [43, 1]], "field_poly": [-1, -5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.073", "prec": 17}, {"__RealLiteral__": 0, "data": "2.910", "prec": 17}, {"__RealLiteral__": 0, "data": "0.366", "prec": 17}, {"__RealLiteral__": 0, "data": "23.601", "prec": 20}, {"__RealLiteral__": 0, "data": "5.116", "prec": 17}, {"__RealLiteral__": 0, "data": "284.458", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [223, -1]], "trace_display": [3, 0, 1, 9], "traces": [0, 3, 3, 0, 3, 1, 0, 9, 3, 0, 1, -6, 0, 11, 9, 0, 3, 2, 0, 5, 1, 0, -6, 2, 0, 2, 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