# Stored data for newform 441.4.a.o, downloaded from the LMFDB on 20 April 2024.
{"label": "441.4.a.o", "space_label": "441.4.a", "level": 441, "weight": 4, "hecke_orbit": 15, "hecke_orbit_code": 63050394850296249, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 701576194548278498, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [5, [2, -20, 1]], [13, [1454, 104, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+(-5-2\\beta )q^{4}+(10+\\cdots)q^{5}+\\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": 8, "field_poly_is_real_cyclotomic": true, "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": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.890", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.243", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.790", "prec": 20}], "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": [-2, 0, 20, 0], "traces": [0, 2, -2, 0, -10, 20, 0, 0, 18, 0, -48, 20, 0, -104, 0, 0, 18, 116, 0, -192, -44, 0, 76, -28, 0, 146, 204, 0, 0, -296, 0, 104, -18, 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