# Stored data for newform 441.6.a.o, downloaded from the LMFDB on 19 April 2024.
{"label": "441.6.a.o", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 15, "hecke_orbit_code": 63050394883850681, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 230871783644397257, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-7, 0, 1]], [5, [0, 1]], [13, [0, 1]]], "qexp_display": "q+\\beta q^{2}-5^{2}q^{4}-57\\beta q^{8}-302\\beta q^{11}+\\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": 1, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.764", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 4, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.043", "prec": 17}, {"__RealLiteral__": 0, "data": "1.813", "prec": 17}, {"__RealLiteral__": 0, "data": "0.340", "prec": 17}, {"__RealLiteral__": 0, "data": "21.298", "prec": 20}, {"__RealLiteral__": 0, "data": "4.835", "prec": 17}, {"__RealLiteral__": 0, "data": "280.302", "prec": 24}], "related_objects": [], "self_twist_discs": [-7], "cm_discs": [-7], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.1.d1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 802, 0, 0, 0, 0, 0, -4228, 0, 0, -6250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17772, 0, 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