# Stored data for newform 441.6.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "441.6.a.a", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663737, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2197034075981573504, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [11, 1]], [5, [0, 1]], [13, [0, 1]]], "qexp_display": "q-11q^{2}+89q^{4}-627q^{8}+76q^{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": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "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": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "2.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.236", "prec": 17}, {"__RealLiteral__": 0, "data": "9.373", "prec": 17}], "related_objects": [], "self_twist_discs": [-7], "cm_discs": [-7], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.1.d1", "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "trace_display": [-11, 0, 0, 0], "traces": [0, 1, -11, 0, 89, 0, 0, 0, -627, 0, 0, 76, 0, 0, 0, 0, 4049, 0, 0, 0, 0, 0, -836, 4952, 0, -3125, 0, 0, 0, -7282, 0, 0, -24475, 0, 0, 0, 0, -8886, 0, 0, 0, 0, 0, 11748, 6764, 0, 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