# Stored data for newform 966.4.a.l, downloaded from the LMFDB on 19 April 2024.
{"label": "966.4.a.l", "space_label": "966.4.a", "level": 966, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968185286, "dim": 5, "is_polredabs": true, "trace_hash": 693156859157010829, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-36288, 32028, -2332, -303, 15, 1]]], "qexp_display": "q-2q^{2}-3q^{3}+4q^{4}+(-3+\\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": 15456, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 56.99584506554543, "hecke_ring_index": 4, "level_radical": 966, "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": 0, "analytic_rank_proved": true, "char_values": [966, 1, [323, 829, 925], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 4171538560185, "field_disc_factorization": [[3, 3], [5, 1], [67, 1], [109, 1], [4231177, 1]], "field_poly": [101568, 23460, -666, -319, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.684", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.994", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1488.971", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1], [23, 1]], "trace_display": [-10, -15, -15, 35], "traces": [0, 5, -10, -15, 20, -15, 30, 35, -40, 45, 30, -19, -60, -19, -70, 45, 80, -42, -90, -25, -60, -105, 38, 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