# Stored data for newform 3969.2.a.bc, downloaded from the LMFDB on 24 April 2024. {"label": "3969.2.a.bc", "space_label": "3969.2.a", "level": 3969, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599932289, "dim": 5, "is_polredabs": true, "nf_label": "5.5.574857.1", "trace_hash": 971657869832562903, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 3, 9, -5, -2, 1]], [5, [-3, 18, 18, -5, -4, 1]], [11, [-15, 12, 15, -8, -4, 1]], [13, [-5, -23, 13, 13, -8, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1+\\beta _{4})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15876, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 31.692624562246184, "hecke_ring_index": 1, "level_radical": 21, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [3969, 1, [2108, 3727], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 574857, "field_disc_factorization": [[3, 4], [47, 1], [151, 1]], "field_poly": [-3, 3, 9, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "4.753", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.950", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1186.479", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", 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