# Stored data for newform 567.4.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "567.4.a.i", "space_label": "567.4.a", "level": 567, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086073399, "dim": 8, "is_polredabs": true, "trace_hash": 2085483431537090180, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4616, 8592, -2506, -1941, 708, 138, -49, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(5+\\beta _{2})q^{4}+(4+\\beta _{4})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9072, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 33.45408297325493, "hecke_ring_index": 486, "level_radical": 21, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [567, 1, [407, 325], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 1910755638755361468, "field_disc_factorization": [[2, 2], [3, 4], [7, 1], [842484849539401, 1]], "field_poly": [-4616, 8592, -2506, -1941, 708, 138, -49, -3, 1], "hecke_ring_index_factorization": [[2, 1], [3, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "7.207", "prec": 17}, {"__RealLiteral__": 0, "data": "0.629", "prec": 17}, {"__RealLiteral__": 0, "data": "154.901", "prec": 24}, {"__RealLiteral__": 0, "data": "54.899", "prec": 20}, {"__RealLiteral__": 0, "data": "5313.818", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1]], "trace_display": [3, 0, 30, -56], "traces": [0, 8, 3, 0, 43, 30, 0, -56, 6, 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