# Stored data for newform 6422.2.a.bc, downloaded from the LMFDB on 23 April 2024.
{"label": "6422.2.a.bc", "space_label": "6422.2.a", "level": 6422, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599934742, "dim": 6, "is_polredabs": true, "nf_label": "6.6.316645497.1", "trace_hash": 273870602721030045, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [5, -24, 13, 24, -12, -2, 1]], [5, [-64, 144, 64, -51, -21, 2, 1]], [7, [51, 117, 57, -25, -17, 1, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}-\\beta _{2}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": "0.003", "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": 316645497, "field_disc_factorization": [[3, 3], [7, 2], [137, 1], [1747, 1]], "field_poly": [5, -24, 13, 24, -12, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.155", "prec": 17}, {"__RealLiteral__": 0, "data": "5.558", "prec": 17}, {"__RealLiteral__": 0, "data": "2.869", "prec": 17}, {"__RealLiteral__": 0, "data": "82.768", "prec": 20}, {"__RealLiteral__": 0, "data": "92.414", "prec": 20}, {"__RealLiteral__": 0, "data": "1946.009", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [13, 1], [19, -1]], "trace_display": [-6, 2, 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