# Stored data for newform 441.6.a.g, downloaded from the LMFDB on 20 April 2024.
{"label": "441.6.a.g", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 7, "hecke_orbit_code": 27021597864886713, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1376984577340290105, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]], [5, [11, 1]], [13, [308, 1]]], "qexp_display": "q+2q^{2}-28q^{4}-11q^{5}-120q^{8}+\\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": 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": 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": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "4.696", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1]], "trace_display": [2, 0, -11, 0], "traces": [0, 1, 2, 0, -28, -11, 0, 0, -120, 0, -22, -269, 0, -308, 0, 0, 656, -1896, 0, -164, 308, 0, -538, 3264, 0, -3004, -616, 0, 0, -2417, 0, 2841, 5152, 0, -3792, 0, 0, -11328, -328, 0, 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