# Stored data for newform 441.8.a.f, downloaded from the LMFDB on 13 June 2026.
{"Nk2": 28224, "analytic_conductor": 137.76179623849768, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [441, 1, [344, 199], [1, 1]], "cm_discs": [-7], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-13, 1]], [5, [0, 1]], [13, [0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998271070649, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": false, "label": "441.8.a.f", "level": 441, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "49.8.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+13q^{2}+41q^{4}-1131q^{8}-8684q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "7.2.1.d1", "self_twist_discs": [-7], "self_twist_type": 1, "space_label": "441.8.a", "trace_display": [13, 0, 0, 0], "trace_hash": 1033323457801319890, "trace_moments": [{"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, 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