# Stored data for newform 441.4.a.h, downloaded from the LMFDB on 24 April 2024.
{"label": "441.4.a.h", "space_label": "441.4.a", "level": 441, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458702777, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1286521184136771217, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [-12, 1]], [13, [-84, 1]]], "qexp_display": "q+q^{2}-7q^{4}+12q^{5}-15q^{8}+12q^{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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "1.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.030", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "trace_display": [1, 0, 12, 0], "traces": [0, 1, 1, 0, -7, 12, 0, 0, -15, 0, 12, -20, 0, 84, 0, 0, 41, -96, 0, -12, -84, 0, -20, 176, 0, 19, 84, 0, 0, -58, 0, 264, 161, 0, -96, 0, 0, 258, -12, 0, 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