# Stored data for newform 441.4.a.q, downloaded from the LMFDB on 25 April 2024.
{"label": "441.4.a.q", "space_label": "441.4.a", "level": 441, "weight": 4, "hecke_orbit": 17, "hecke_orbit_code": 72057594105037241, "dim": 2, "is_polredabs": true, "nf_label": "2.2.76.1", "trace_hash": 80789661255539206, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-19, 0, 1]], [5, [-76, 0, 1]], [13, [82, 1]]], "qexp_display": "q+\\beta q^{2}+11q^{4}-2\\beta q^{5}+3\\beta q^{8}-38q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7056, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 26.019842312531612, "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": 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": 2, "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 76, "field_disc_factorization": [[2, 2], [19, 1]], "field_poly": [-19, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.740", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "141.241", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, 22, 0, 0, 0, 0, 0, -76, 0, 0, -164, 0, 0, -62, 0, 0, 40, 0, 0, -380, 0, 0, -98, 0, 0, 0, 0, 0, -312, 0, 0, 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