# Stored data for newform 225.6.a.n, downloaded from the LMFDB on 25 April 2024.
{"label": "225.6.a.n", "space_label": "225.6.a", "level": 225, "weight": 6, "hecke_orbit": 14, "hecke_orbit_code": 58546795256479969, "dim": 2, "is_polredabs": true, "nf_label": "2.2.44.1", "trace_hash": 1473727702882124540, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-44, 0, 1]], [7, [-3564, 0, 1]]], "qexp_display": "q+\\beta q^{2}+12q^{4}+9\\beta q^{7}-20\\beta q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8100, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 36.08635945792064, "hecke_ring_index": 2, "level_radical": 15, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 44, "field_disc_factorization": [[2, 2], [11, 1]], "field_poly": [-11, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.886", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "144.967", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, 24, 0, 0, 0, 0, 0, 0, -504, 0, 0, 792, 0, -2528, 0, 0, 440, 0, 0, 0, 0, 0, 0, -1584, 0, 0, -13860, 0, 13504, 0, 0, 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