# Stored data for newform 966.2.a.f, downloaded from the LMFDB on 31 March 2023.
{"level_primes": [2, 3, 7, 23], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 733260804406505390, "level_radical": 966, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/966/f"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 6, "analytic_conductor": 7.713548835255685, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "966.2.a.f", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "966.2.a.f", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.030", "prec": 17}, "traces": [0, 1, -1, 1, 1, 0, -1, 1, -1, 1, 0, 6, 1, 2, -1, 0, 1, -6, -1, 2, 0, 1, -6, 1, -1, -5, -2, 1, 1, -6, 0, 8, -1, 6, 6, 0, 1, 8, -2, 2, 0, 6, -1, 2, 6, 0, -1, 0, 1, 1, 5, -6, 2, -12, -1, 0, -1, 2, 6, 0, 0, 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-2, 0, 14, 50, -8, 24, 0, 54, -1, -52, -12, 0, 0, 24, -8, 8, 0, 6, 8, 0, -12, 0, -1, 2, -6, -48, -5, 72, -36, 2, -6, 0, -8, 2, 18, -6, 0, 12, 2, 36, 34, 0, 8, 0, 6, 32, 0, -4, -30, 0, 6, -40, 16, -4, 6, 30, 0, 2, -6, -24, -30, 0, -2, -46, 10, -34, 0, -48, 4, 6, 0, 0, -12, 0, 8, 28, 10, 18, 6, 42, 12, 0, -24, -36, -24, -6, 0, 33, -16, -6, -10, 0, -1, -40, -25, -12, 0, 18, 1, -16, 40, -10, 8, -54, 16, 36, 0, -4, 0, 60, -6, 0, -36, 0, 4, 2, 0, 8, -8, 20, 0, 0, 6, 14, 16, 8, 0], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "+---", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [23, -1]], "char_values": [966, 1, [323, 829, 925], [1, 1, 1]], "Nk2": 3864, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [-1, 1, 0, 1], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [0, 1]], [11, [-6, 1]], [13, [-2, 1]]], "space_label": "966.2.a", "level": 966, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 22517998170407878, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.012", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.052", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.248", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-1], [1], [1], [0], [-1], [1], [-1], [1], [0], [6], [1], [2], [-1], [0], [1], [-6], [-1], [2], [0], [1], [-6], [1], [-1], [-5], [-2], [1], [1], [-6], [0], [8], [-1], [6], [6], [0], [1], [8], [-2], [2], [0], [6], [-1], [2], [6], [0], [-1], [0], [1], [1], [5], [-6], [2], [-12], [-1], [0], [-1], [2], [6], [0], [0], [8], [-8], [1], [1], [0], [-6], [-10], [-6], [1], [0], [0], [-1], [14], [-8], [-5], [2], [6], [-2], [8], [0], [1], [-6], [6], [1], [0], [-2], [-6], [-6], [6], [0], [2], [1], [8], [0], [0], [-1], [-10], [-1], [6], [-5]]}