# Stored data for newform 441.6.a.x, downloaded from the LMFDB on 25 April 2024.
{"label": "441.6.a.x", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 24, "hecke_orbit_code": 103582791530185145, "dim": 4, "is_polredabs": true, "nf_label": "4.4.358541904.1", "trace_hash": 1663066721506864217, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [756, 0, -111, 0, 1]], [5, [148176, 0, -7752, 0, 1]], [13, [-547484, 436, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(24+\\beta _{3})q^{4}+(-3\\beta _{1}+\\beta _{2}+\\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": 18, "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": "0.510", "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": 358541904, "field_disc_factorization": [[2, 4], [3, 1], [7, 1], [1033, 2]], "field_poly": [756, 0, -111, 0, 1], "hecke_ring_index_factorization": [[2, 1], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "3.830", "prec": 17}, {"__RealLiteral__": 0, "data": "1.048", "prec": 17}, {"__RealLiteral__": 0, "data": "74.524", "prec": 20}, {"__RealLiteral__": 0, "data": "17.519", "prec": 20}, {"__RealLiteral__": 0, "data": "2027.226", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 4, 0, 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