# Stored data for newform 4014.2.a.y, downloaded from the LMFDB on 12 May 2024.
{"label": "4014.2.a.y", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090450350, "dim": 8, "is_polredabs": true, "trace_hash": 1318218759318529113, "analytic_rank": 1, "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.026", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "147.437", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__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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