# Stored data for newform 6422.2.a.bk, downloaded from the LMFDB on 24 April 2024.
{"label": "6422.2.a.bk", "space_label": "6422.2.a", "level": 6422, "weight": 2, "hecke_orbit": 37, "hecke_orbit_code": 162129586618898710, "dim": 9, "is_polredabs": true, "trace_hash": 1099490638831813510, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-7, 63, -126, -1, 136, -11, -53, -6, 5, 1]], [5, [1, 20, 32, -175, -64, 118, 21, -24, -1, 1]], [7, [7, 77, -7, -587, -863, -380, 14, 52, 13, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta _{7})q^{3}+q^{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": 25688, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 51.279928178066264, "hecke_ring_index": 1, "level_radical": 494, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [6422, 1, [4903, 4733], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 13, 19], "conrey_indexes": [1], "field_disc": 657958267897, "field_disc_factorization": [[7, 6], [631, 1], [8863, 1]], "field_poly": [1, -4, -48, -84, -11, 54, 14, -12, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.651", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "219.742", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8699.846", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [13, 1], [19, -1]], "trace_display": 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