# Stored data for newform 6930.2.a.by, downloaded from the LMFDB on 18 April 2024.
{"label": "6930.2.a.by", "space_label": "6930.2.a", "level": 6930, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402086162, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 185006062012665607, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[13, [-32, -2, 1]], [17, [-32, -2, 1]], [19, [0, 1]], [23, [-32, -2, 1]], [29, [2, 1]], [31, [0, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27720, "fricke_eigenval": -1, "atkin_lehner_string": "--++-", "analytic_conductor": 55.33632860074731, "hecke_ring_index": 2, "level_radical": 2310, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.038", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.635", "prec": 20}, {"__RealLiteral__": 0, "data": "0.769", "prec": 17}, {"__RealLiteral__": 0, "data": "80.648", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [7, 1], [11, -1]], "trace_display": [2, 0, -2, -2], "traces": [0, 2, 2, 0, 2, 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