# Stored data for newform 8400.2.a.dk, downloaded from the LMFDB on 28 March 2024. {"label": "8400.2.a.dk", "space_label": "8400.2.a", "level": 8400, "weight": 2, "hecke_orbit": 89, "hecke_orbit_code": 396316767242166480, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 2055013277470163357, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [-8, -20, 2, 1]], [13, [-8, -12, 2, 1]], [17, [-16, -16, 0, 1]], [19, [-8, -12, 2, 1]], [23, [16, 8, -8, 1]]], "qexp_display": "q+q^{3}+q^{7}+q^{9}+(-1-\\beta _{1}-\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33600, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 67.07433769787552, "hecke_ring_index": 4, "level_radical": 210, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [8400, 1, [3151, 2101, 2801, 5377, 3601], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "2.882", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.374", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "263.828", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", 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