# Stored data for newform 400.6.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "400.6.a.a", "space_label": "400.6.a", "level": 400, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663696, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 816336819071493068, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [26, 1]]], "qexp_display": "q-26q^{3}-22q^{7}+433q^{9}+768q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14400, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 64.15352792519225, "hecke_ring_index": 1, "level_radical": 10, "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": [400, 1, [351, 101, 177], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "4.892", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, -26, 0, -22], "traces": [0, 1, 0, -26, 0, 0, 0, -22, 0, 433, 0, 768, 0, 46, 0, 0, 0, -378, 0, -1100, 0, 572, 0, -1986, 0, 0, 0, -4940, 0, -5610, 0, 3988, 0, -19968, 0, 0, 0, 142, 0, -1196, 0, 1542, 0, -5026, 0, 0, 0, 24738, 0, 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