# Stored data for newform 6422.2.a.bg, downloaded from the LMFDB on 23 April 2024.
{"label": "6422.2.a.bg", "space_label": "6422.2.a", "level": 6422, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109416726, "dim": 8, "is_polredabs": true, "trace_hash": 627377665774335150, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, -6, 7, 28, 3, -22, -4, 4, 1]], [5, [-3, 12, -2, -36, 25, 20, -11, -2, 1]], [7, [-128, 240, 5, -220, 86, 38, -19, -2, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{6}q^{5}+\\beta _{1}q^{6}+\\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": "0.009", "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": 61303267584, "field_disc_factorization": [[2, 8], [3, 4], [13, 1], [71, 1], [3203, 1]], "field_poly": [-2, 6, 7, -28, 3, 22, -4, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.268", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "151.488", "prec": 24}, {"__RealLiteral__": 0, "data": "2.360", "prec": 17}, {"__RealLiteral__": 0, "data": "5120.345", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [13, -1], [19, -1]], "trace_display": 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