# Stored data for newform 966.2.a.i, downloaded from the LMFDB on 26 February 2021.
{"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": 2201122788884052914, "level_radical": 966, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/966/i"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 9, "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.i", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "966.2.a.i", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "traces": [0, 1, 1, 1, 1, -3, 1, 1, 1, 1, -3, 0, 1, 5, 1, -3, 1, 0, 1, 8, -3, 1, 0, -1, 1, 4, 5, 1, 1, 3, -3, 2, 1, 0, 0, -3, 1, -7, 8, 5, -3, 9, 1, -1, 0, -3, -1, -3, 1, 1, 4, 0, 5, -12, 1, 0, 1, 8, 3, -6, -3, 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0, 7, 6, -49, 14, -24, 12, -15, 0, -31, 3, 9, 15, 12, 1, -18, 17, -17, 2, 0, -9, -20, -19, -1, -8, 3, -4, -40, 26, -30, 0, 30, 1, 26, 0, 18, -27, 0, -7, -13, -18, 0, 14, -24, 0, -45, 1, -5, 18, 6, 4, 0, 0, -1, 15, -6, 11, 41, -15, -6, -15, 21, 8, 0, -28, -42, -4, -18, 0, -16, 3, 11, -30, 30, 0, -28, -31, -1, 3, 33, -6, 8, -6, 12, -33, 0, 5, -25, -4, -10, 9, -51, -4, -9, -6, -3, 0, -3, -16, -20, 32, -27, 0, -18, -12, 36, 12, 0, -6, -9, -3, -27, -35, 12, -19, 3, -1, 44, -11, 0, 3, 0, 1, 5, -31, 20, 14, -21, 20, 0, -3, -19, 12, 30, 9, -27, 0, -3, 40, 1, 0, -28, 2, -16, 6, -51, -12, 26, 14, -7, 3], "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, -3, 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}-3q^{5}+q^{6}+q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [3, 1]], [11, [0, 1]], [13, [-5, 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": 36028797052519366, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "1.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.033", "prec": 17}, {"__RealLiteral__": 0, "data": "2.053", "prec": 17}, {"__RealLiteral__": 0, "data": "0.130", "prec": 17}, {"__RealLiteral__": 0, "data": "5.158", "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], [-3], [1], [1], [1], [1], [-3], [0], [1], [5], [1], [-3], [1], [0], [1], [8], [-3], [1], [0], [-1], [1], [4], [5], [1], [1], [3], [-3], [2], [1], [0], [0], [-3], [1], [-7], [8], [5], [-3], [9], [1], [-1], [0], [-3], [-1], [-3], [1], [1], [4], [0], [5], [-12], [1], [0], [1], [8], [3], [-6], [-3], [14], [2], [1], [1], [-15], [0], [-4], [0], [-1], [-3], [6], [1], [-4], [-7], [4], [8], [0], [5], [-16], [-3], [1], [9], [-12], [1], [0], [-1], [3], [0], [6], [-3], [5], [-1], [2], [-3], [-24], [1], [-1], [1], [0], [4]]}