# Stored data for newform 441.6.a.ba, downloaded from the LMFDB on 23 April 2024.
{"label": "441.6.a.ba", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 27, "hecke_orbit_code": 117093590412296633, "dim": 6, "is_polredabs": true, "trace_hash": 985411882347783836, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-51088, 4256, 6472, -336, -169, 2, 1]], [5, [9969962312, 959211664, 9669292, -651312, -6778, 100, 1]], [13, [8818638530643704, 5552830868704, -312398022260, 808285728, -126598, -1352, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(5^{2}-\\beta _{1}+\\beta _{4})q^{4}+(-2^{4}+\\cdots)q^{5}+\\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": 5488, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 100391645696, "field_disc_factorization": [[2, 9], [223, 1], [879271, 1]], "field_poly": [-2338, -1856, 941, 122, -59, -2, 1], "hecke_ring_index_factorization": [[2, 4], [7, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "5.357", "prec": 17}, {"__RealLiteral__": 0, "data": "0.412", "prec": 17}, {"__RealLiteral__": 0, "data": "79.631", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1785.710", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "5.2.3.c1", 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