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Table mf_hecke_nf

Hecke eigenvalues of Galois orbits of newforms

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{'an': [[1, 0, 0], [1, 0, 0], [-1, 1, 0], [1, 0, 0], [-1, 0, 1], [-1, 1, 0], [-1, 0, 0], [1, 0, 0], [1, -1, 1], [-1, 0, 1], [2, -2, 0], [-1, 1, 0], [0, 0, 0], [-1, 0, 0], [0, 1, -1], [1, 0, 0], [-1, -1, 0], [1, -1, 1], [-2, 1, -1], [-1, 0, 1], [1, -1, 0], [2, -2, 0], [0, 0, 0], [-1, 1, 0], [3, -1, -3], [0, 0, 0], [-2, 0, -2], [-1, 0, 0], [0, 1, 1], [0, 1, -1], [3, 1, -2], [1, 0, 0], [-8, 2, -2], [-1, -1, 0], [1, 0, -1], [1, -1, 1], [-2, -1, -1], [-2, 1, -1], [0, 0, 0], [-1, 0, 1], [-2, 2, -2], [1, -1, 0], [-4, -1, -3], [2, -2, 0], [7, -2, -1], [0, 0, 0], [-7, 1, 0], [-1, 1, 0], [1, 0, 0], [3, -1, -3], [-2, -1, -1], [0, 0, 0], [6, -1, -1], [-2, 0, -2], [0, -2, 2], [-1, 0, 0], [6, -4, 2], [0, 1, 1], [1, -1, -4], [0, 1, -1], [-3, 4, 3], [3, 1, -2], [-1, 1, -1], [1, 0, 0], [0, 0, 0], [-8, 2, -2], [-2, -4, 2], [-1, -1, 0], [0, 0, 0], [1, 0, -1], [6, -2, 0], [1, -1, 1], [2, 0, 4], [-2, -1, -1], [-3, -3, 2], [-2, 1, -1], [-2, 2, 0], [0, 0, 0], [-12, 3, 1], [-1, 0, 1], [1, -3, -1], [-2, 2, -2], [-6, -1, 1], [1, -1, 0], [2, -1, -1], [-4, -1, -3], [2, 2, 0], [2, -2, 0], [-1, -5, 4], [7, -2, -1], [0, 0, 0], [0, 0, 0], [2, -1, 3], [-7, 1, 0], [-6, 2, 0], [-1, 1, 0], [-3, 3, 2], [1, 0, 0], [10, -6, 4], [3, -1, -3]], 'ap': [[1, 0, 0], [-1, 1, 0], [-1, 0, 1], [-1, 0, 0], [2, -2, 0], [0, 0, 0], [-1, -1, 0], [-2, 1, -1], [0, 0, 0], [0, 1, 1], [3, 1, -2], [-2, -1, -1], [-2, 2, -2], [-4, -1, -3], [-7, 1, 0], [6, -1, -1], [1, -1, -4], [-3, 4, 3], [-2, -4, 2], [6, -2, 0], [2, 0, 4], [-12, 3, 1], [-6, -1, 1], [-1, -5, 4], [-3, 3, 2], [-12, 6, 2], [0, -4, 0], [0, 5, -1], [-8, 3, 1], [2, -4, -2], [6, 2, -4], [1, 1, -2], [14, 0, -2], [5, -5, 0], [0, 1, -5], [-2, 6, 0], [-11, 0, 3], [-2, 2, 4], [-1, 3, -4], [4, -4, 0], [8, -8, -4], [-5, -8, 1], [4, 6, -2], [-2, -4, 0], [2, -4, 4], [-4, 8, 0], [-4, -4, 4], [-5, 5, 2], [6, -3, -5], [15, 0, 5], [6, -3, -1], [6, 6, 0], [-5, 5, 2], [-14, 3, -3], [-6, 4, 4], [-8, -1, -7], [-12, 8, 4], [5, -11, 0], [4, 11, -1], [2, 2, -8], [-2, 7, 1], [-13, 4, -3], [7, -1, 2], [-5, -3, 2], [-9, 1, 2], [16, 3, 3], [6, -10, -8], [12, -6, -6], [2, -10, 4], [-12, -8, 4], [-2, 8, 8], [-16, 7, 1], [20, 6, -2], [8, 1, 11], [-18, -4, -2], [-4, 0, 0], [-4, 3, 5], [-8, -4, 4], [-8, -8, 8], [10, 2, -2], [-6, 9, 7], [-18, 7, -1], [-8, 2, -2], [-3, 1, -8], [-13, -1, 4], [-12, 0, -8], [-6, 7, 9], [-6, 2, 8], [-12, -10, -2], [4, -4, 8], [18, 11, -7], [-20, 10, 6], [-24, 12, 4], [-12, 0, 0], [12, -12, -4], [0, 10, 6], [24, 2, -2], [1, -7, -4], [34, -3, -1], [4, -1, -5], [-6, 14, -4], [0, 15, -3], [-22, 1, 7], [-20, 0, 4], [-28, 9, 3], [6, -4, -4], [-3, -5, 0], [-6, -12, -4], [-4, 12, 8], [10, -4, -8], [21, -1, -2], [-20, -9, 1], [4, 6, 6], [-2, -9, -11], [16, -7, -9], [32, -4, -4], [6, -1, -3], [-5, -3, -6], [10, -8, 8], [0, 7, 1], [29, 0, -1], [2, -7, 7], [-11, -6, -3], [8, -16, -4], [-25, 7, -2], [6, 17, -3], [-2, -1, -1], [-17, -7, 2], [-12, -2, 10], [3, 4, -3], [-18, -2, 0], [20, 3, 9], [20, -7, -5], [-20, 3, -3], [2, -2, -6], [-13, 3, 0], [9, -2, 1], [6, 9, -5], [-1, -16, 5], [14, 4, 0], [9, 5, 10], [-12, -7, 5], [14, -18, 0], [-4, -5, 5], [-16, -2, 6], [8, -10, -10], [-32, 2, -2], [-18, -2, -6], [-15, -13, 0], [6, -2, 8], [-32, 13, 5], [9, 15, -2], [16, 0, 4], [-17, -1, -12], [4, -3, 3], [0, 1, -9], [-20, 1, 3], [-14, -12, 0], [25, -3, 4], [-5, -6, 7], [30, 2, -4], [0, 10, 6], [-8, 4, -12], [-14, -7, -1], [14, 8, 6], [4, 14, 2], [26, -18, -4], [20, 14, -6], [14, -18, 0], [-8, -6, -2], [-8, 17, 11], [-24, 10, -2], [24, -10, -6], [22, -10, -8], [25, 5, 4], [11, -13, -16], [-12, 20, 4], [-30, 0, 8], [28, -24, -4], [-9, 0, 9], [-6, 6, -4], [-2, 19, 1], [14, 8, 0], [18, -8, 4], [-20, -12, -8], [-5, -6, -5], [-16, 21, 13], [-6, -9, -15], [30, 7, 1], [-7, 5, 0], [18, 14, 2], [-44, 12, 4], [-12, -19, 11], [-16, -20, 4], [-10, -2, 16], [35, 5, -2], [4, -6, 10], [12, 9, 7], [-11, 1, -16], [-19, -13, 6], [-22, 25, 1], [-9, -17, 0], [-16, -8, -4], [-19, -11, -12], [-26, 11, -3], [-12, 16, -8], [24, -10, -2], [22, 2, -12], [6, -1, 1], [-11, -15, 10], [2, 9, 3], [8, -16, -4], [12, -5, 9], [-26, 7, 9], [15, -1, -4], [11, 5, 2], [-40, -8, 8], [6, -16, 12], [-4, -4, 16], [-22, 12, 4], [2, 0, -8], [-28, 0, 4], [10, 4, -8], [-28, 6, -2], [-27, -13, 8], [8, -1, 7], [19, -5, 12], [22, -2, 8], [-52, 4, 0], [6, 14, -8], [-18, 0, 8], [6, 15, 5], [-24, -13, 13], [10, -7, 3], [2, 1, -5], [52, -6, 2], [-25, 5, 14], [14, -15, -11], [-8, 0, 20], [11, -1, 16], [-60, -1, -3], [-43, 1, 6], [45, 3, -6], [14, 4, 12], [-30, -2, -6], [5, -17, -14], [1, 5, 12], [-34, 21, -1], [-24, 21, 3], [16, -14, -18], [-50, 5, 1], [55, -3, -6], [32, 5, 11], [-15, 3, 2], [-20, -12, 4], [-12, 8, -8], [16, 19, -15], [30, -7, -13], [-8, -10, 14], [2, -22, 14], [-28, -9, -3], [8, 15, 9], [-8, 2, 2], [41, 8, -1], [34, 6, -2], [18, -23, -17], [16, -21, 1], [35, 9, 10], [10, -12, -18], [46, -12, -4], [52, -2, -2], [18, 0, 14], [-1, -3, -2], [-4, -13, 1], [-26, -8, -16], [17, 17, -20], [-14, -2, -4], [4, 21, -7], [-38, -12, -2], [-14, -13, 1], [-9, -3, 6], [36, -4, -8], [36, -6, 6], [21, -14, -3], [-33, -3, 0], [-2, 18, 4], [-32, 2, -2], [-8, 11, 17], [13, 13, 4], [6, -6, 14], [28, -19, -5], [-38, -1, -3], [26, 23, -15], [-38, 5, -13], [-38, 28, 12], [-23, 4, -13], [-36, 8, -4], [20, -18, -2], [-39, -13, 0], [-5, -15, 16], [-3, -23, -4], [8, 15, -19], [-48, 12, -4], [2, -30, 0], [16, 19, -11], [30, -4, -8], [-34, -10, 8], [1, 0, -5], [0, 24, 8], [-26, 8, 16], [45, -9, -2], [-28, 21, 3], [38, 24, -10], [46, -14, -4], [4, -9, -3], [-1, 31, -4], [33, -9, 4], [6, 10, 4], [15, -3, 10], [-14, -12, -20], [-22, 5, -9], [-10, 24, 14], [-24, 6, -2], [-32, 8, 8], [-2, 6, 0], [-25, 7, 4], [-4, 7, 5], [11, -13, 22], [12, 23, -19], [6, -23, 13], [20, -17, 11], [-6, 24, 16], [23, -29, -4], [59, -11, -4], [-46, -12, 14], [-45, 13, -4], [-38, -17, -5], [15, 11, 20], [14, -6, -6], [-20, -12, -4], [-40, 5, -11], [-4, 4, -16], [-12, -6, 2], [0, -12, 12], [0, -17, 5], [-14, 14, -4], [-32, -8, 0], [38, -6, 4], [-68, 2, -6], [-17, 22, 11], [15, 7, -18], [-10, 8, 8], [-4, 11, -17], [48, -8, 4], [-40, -1, -3], [10, 8, -12], [28, -26, -14], [2, 17, 19], [14, 13, 19], [-20, -12, -16], [46, 21, -7], [58, 0, -4], [-12, 32, 4], [34, -4, -2], [-3, 17, -14], [-2, -16, 20], [0, -2, -6], [32, -33, 1], [-22, 10, 24], [44, -16, -8], [5, 11, 4], [16, 4, 20], [24, 15, -19], [-28, 18, -14], [-2, 8, 8], [19, 7, 18], [-20, 8, 12], [1, -1, -22], [9, 15, -14], [-2, -10, -30], [-13, 2, 3], [-22, 6, -20], [-34, -10, -8], [14, -12, -8], [10, 1, 7], [23, -19, 14], [30, -22, -4], [-24, -12, -16], [-2, -24, -2], [-48, 2, -6], [12, 14, -2], [-32, 24, 20], [-16, 28, 8], [49, 11, 12], [16, -15, -9], [-6, 8, -6], [-12, -14, 14], [-3, 3, 22], [40, -1, -3], [16, 7, -1], [-8, 6, -2], [38, 9, -9], [28, -13, 1], [-19, 11, 14], [-16, -2, -14], [-39, 3, 6], [4, 11, -3], [-2, -8, -12], [-18, -21, 13], [-39, -11, 18], [2, -24, 0], [26, 12, -12], [0, 3, -3], [12, -33, 9], [6, 2, -4], [-8, 20, -12], [-12, -8, 12], [-19, 11, -10], [41, 15, -6], [16, -18, -14], [-10, -27, -7], [-21, -2, 7], [0, 4, 28], [-17, -3, 8], [26, 10, -18], [32, 20, 0], [-6, -12, -22], [-10, -20, 16], [25, 15, 24], [-35, -11, 20]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 85568392953601262, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 1], [2, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0], [-2, 0, 1], [2, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 178508, 'label': '7406.2.a.t', 'level': 7406, 'maxp': 2999, 'weight': 2}