# Stored data for newform 784.6.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "784.6.a.l", "space_label": "784.6.a", "level": 784, "weight": 6, "hecke_orbit": 12, "hecke_orbit_code": 49539596001739536, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1070148282740192087, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-20, 1]]], "qexp_display": "q+20q^{3}+74q^{5}+157q^{9}-124q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 28224, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 125.74091473337681, "hecke_ring_index": 1, "level_radical": 14, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [784, 1, [687, 197, 689], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.051", "prec": 17}, {"__RealLiteral__": 0, "data": "1.933", "prec": 17}, {"__RealLiteral__": 0, "data": "0.199", "prec": 17}, {"__RealLiteral__": 0, "data": "4.808", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1]], "trace_display": [0, 20, 74, 0], "traces": [0, 1, 0, 20, 0, 74, 0, 0, 0, 157, 0, -124, 0, -478, 0, 1480, 0, 1198, 0, 3044, 0, 0, 0, -184, 0, 2351, 0, -1720, 0, -3282, 0, -5728, 0, -2480, 0, 0, 0, 10326, 0, -9560, 0, 8886, 0, 9188, 0, 11618, 0, 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