# Stored data for newform 6422.2.a.u, downloaded from the LMFDB on 19 April 2024.
{"label": "6422.2.a.u", "space_label": "6422.2.a", "level": 6422, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580970774, "dim": 3, "is_polredabs": true, "nf_label": "3.3.169.1", "trace_hash": 1971598252581720008, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, -3, 2, 1]], [5, [5, -3, -2, 1]], [7, [1, -4, 1, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+(\\beta _{1}-\\beta _{2})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": 3, "inner_twist_count": 1, "level_primes": [2, 13, 19], "conrey_indexes": [1], "field_disc": 169, "field_disc_factorization": [[13, 2]], "field_poly": [-1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.898", "prec": 17}, {"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "21.570", "prec": 20}, {"__RealLiteral__": 0, "data": "3.446", "prec": 17}, {"__RealLiteral__": 0, "data": "229.175", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [13, 1], [19, -1]], "trace_display": [3, -2, 2, -1], "traces": [0, 3, 3, -2, 3, 2, -2, -1, 3, 1, 2, -8, -2, 0, -1, 3, 3, -2, 1, 3, 2, -8, -8, 2, 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