# Stored data for newform 441.6.a.u, downloaded from the LMFDB on 19 April 2024.
{"label": "441.6.a.u", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 21, "hecke_orbit_code": 90071992648073657, "dim": 2, "is_polredabs": true, "nf_label": "2.2.156.1", "trace_hash": 618838354565261465, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]], [5, [-5616, 0, 1]], [13, [-275184, 0, 1]]], "qexp_display": "q+2q^{2}-28q^{4}-\\beta q^{5}-120q^{8}-2\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15876, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 70.72926453752446, "hecke_ring_index": 12, "level_radical": 21, "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": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 156, "field_disc_factorization": [[2, 2], [3, 1], [13, 1]], "field_poly": [-39, 0, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.045", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "148.779", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "trace_display": [4, 0, 0, 0], "traces": [0, 2, 4, 0, -56, 0, 0, 0, -240, 0, 0, 568, 0, 0, 0, 0, 1312, 0, 0, 0, 0, 0, 1136, -2992, 0, 4982, 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