# Stored data for newform 400.6.a.w, downloaded from the LMFDB on 25 April 2024.
{"label": "400.6.a.w", "space_label": "400.6.a", "level": 400, "weight": 6, "hecke_orbit": 23, "hecke_orbit_code": 99079191902814608, "dim": 2, "is_polredabs": true, "nf_label": "2.2.241.1", "trace_hash": 1708050897972832961, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-141, -20, 1]]], "qexp_display": "q+(10-\\beta )q^{3}+(10^{2}-2\\beta )q^{7}+(98-20\\beta )q^{9}+\\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": 2, "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": 3, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 241, "field_disc_factorization": [[241, 1]], "field_poly": [-60, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "9.302", "prec": 17}, {"__RealLiteral__": 0, "data": "0.383", "prec": 17}, {"__RealLiteral__": 0, "data": "61.504", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, 20, 0, 200], "traces": [0, 2, 0, 20, 0, 0, 0, 200, 0, 196, 0, 196, 0, 360, 0, 0, 0, -1490, 0, 3180, 0, 2964, 0, 1560, 0, 0, 0, 6740, 0, -3920, 0, 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