# Stored data for newform 726.4.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "726.4.a.f", "space_label": "726.4.a", "level": 726, "weight": 4, "hecke_orbit": 6, "hecke_orbit_code": 22517998203962070, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2226279812235057438, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-6, 1]], [7, [-16, 1]]], "qexp_display": "q+2q^{2}-3q^{3}+4q^{4}+6q^{5}-6q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11616, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 42.835386664167686, "hecke_ring_index": 1, "level_radical": 66, "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": [726, 1, [485, 607], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.074", "prec": 17}, {"__RealLiteral__": 0, "data": "1.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.251", "prec": 17}, {"__RealLiteral__": 0, "data": "4.908", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, -1]], "trace_display": [2, -3, 6, 16], "traces": [0, 1, 2, -3, 4, 6, -6, 16, 8, 9, 12, 0, -12, -38, 32, -18, 16, 126, 18, -20, 24, -48, 0, 168, -24, -89, -76, -27, 64, -30, -36, -88, 32, 0, 252, 96, 36, 254, -40, 114, 48, 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