# Stored data for newform 570.6.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "570.6.a.k", "space_label": "570.6.a", "level": 570, "weight": 6, "hecke_orbit": 11, "hecke_orbit_code": 45035996374368826, "dim": 4, "is_polredabs": true, "trace_hash": 399579861337258563, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [94224800, 1640180, -34350, -26, 1]]], "qexp_display": "q-4q^{2}+9q^{3}+2^{4}q^{4}-5^{2}q^{5}-6^{2}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20520, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 91.41877729339896, "hecke_ring_index": 4, "level_radical": 570, "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": 0, "analytic_rank_proved": true, "char_values": [570, 1, [191, 457, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 684921442004520, "field_disc_factorization": [[2, 3], [3, 1], [5, 1], [7, 1], [199, 1], [263, 1], [1283, 1], [12143, 1]], "field_poly": [128450070, -7203, -26355, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.069", "prec": 17}, {"__RealLiteral__": 0, "data": "3.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "42.045", "prec": 20}, {"__RealLiteral__": 0, "data": "20.734", "prec": 20}, {"__RealLiteral__": 0, "data": "687.432", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [19, 1]], "trace_display": [-16, 36, -100, 26], "traces": [0, 4, -16, 36, 64, -100, -144, 26, -256, 324, 400, -472, 576, -482, -104, 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