# Stored data for newform 2205.4.a.t, downloaded from the LMFDB on 19 April 2024.
{"label": "2205.4.a.t", "space_label": "2205.4.a", "level": 2205, "weight": 4, "hecke_orbit": 20, "hecke_orbit_code": 85568392987150493, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 166222968144576619, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, 1]], [11, [-50, 1]], [13, [-20, 1]], [17, [-10, 1]]], "qexp_display": "q+5q^{2}+17q^{4}+5q^{5}+45q^{8}+5^{2}q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 35280, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 130.09921156265804, "hecke_ring_index": 1, "level_radical": 105, "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": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.049", "prec": 17}, {"__RealLiteral__": 0, "data": "1.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.173", "prec": 17}, {"__RealLiteral__": 0, "data": "1.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, {"__RealLiteral__": 0, "data": "4.946", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, -1]], "trace_display": [5, 0, 5, 0], "traces": [0, 1, 5, 0, 17, 5, 0, 0, 45, 0, 25, 50, 0, 20, 0, 0, 89, 10, 0, 44, 85, 0, 250, 120, 0, 25, 100, 0, 0, -50, 0, -108, 85, 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