Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, -1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -2, -2, 1, 2, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -2, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 2, -3, 0, -3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, -1, 1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, -3, 3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, -1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -6, 0, -6, -1, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, -2, 0, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, -4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -2, -2, -1, 2, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 0, -3, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 4, -3, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [10, -2, -2, -7, -2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, 7, -1, -1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, -4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 3, 1, 4, -4, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 4, 0, 8, -3, 3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, -1, 1, 1, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 2, 3, 2, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, -2, 0, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -10, 0, -5, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [7, -3, -5, -5, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [5, -1, -1, 3, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, -1, 0, -2, 3, -3, 3], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 2, 2, 1, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 2, 0, -2, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, -2, 0, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [-1, 0, 1, 1, 0, 0, -1, 0], [0, 0, -1, 0, 1, 0, 0, 0], [1, -1, -1, -1, 0, 1, 1, 1], [0, 0, -4, 0, -1, 0, 0, 0], [0, 1, 0, 0, 0, 1, -2, 2], [2, 0, 0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1, -1, 1], [-1, -1, -1, -1, -2, 1, -1, -1], [-4, 0, 0, 2, -3, 0, -3, -3], [0, -3, 0, 0, 0, -3, 3, -3], [1, -1, -1, -1, 0, 1, 1, 1], [0, -1, -6, 0, -6, -1, 2, -2], [0, 0, -4, 0, -2, 0, -2, 2], [0, -2, 0, 0, -3, -2, 1, -1], [10, -2, -2, -7, -2, 2, 0, 0], [-2, 1, 1, 7, -1, -1, -2, -2], [0, -3, 4, 0, 8, -3, 3, -3], [-2, 2, 2, 3, 2, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, 0, 0, 0, 0], [0, 0, -10, 0, -5, 0, -1, 1], [5, -1, -1, 3, 0, 1, 1, 1], [0, -3, 2, 0, -2, -3, 0, 0], [-9, 0, 0, 9, 0, 0, 0, 0], [0, 4, 0, 0, -6, 4, -2, 2], [0, -1, 6, 0, 0, -1, -1, 1], [0, 0, 0, -6, -3, 0, -3, -3], [0, 1, -12, 0, -12, 1, -2, 2], [0, 3, -4, 0, 0, 3, 3, -3], [4, -2, -2, -2, -1, 2, 1, 1], [0, 2, -3, 0, 3, 2, 0, 0], [6, -3, -3, 5, 3, 3, 6, 6], [-4, 5, 5, 7, 5, -5, 0, 0], [2, 0, 0, 2, 3, 0, 3, 3], [0, 4, 0, 0, 0, 4, -2, 2], [0, -6, 3, 0, -3, -6, 0, 0], [0, -1, -4, 0, -8, -1, 1, -1], [0, -1, -12, 0, -12, -1, 2, -2], [-7, 2, 2, 11, 4, -2, 2, 2], [-2, -6, -6, -6, -3, 6, 3, 3], [-2, 1, 1, -11, -1, -1, -2, -2], [0, -3, -4, 0, -8, -3, 3, -3], [0, -1, 10, 0, 20, -1, 1, -1], [-2, 1, 1, -5, -1, -1, -2, -2], [11, 2, 2, -7, 4, -2, 2, 2], [0, 0, -5, 0, -10, 0, 0, 0], [0, 1, 2, 0, -2, 1, 0, 0], [0, 0, 0, 12, 6, 0, 6, 6], [0, 4, 0, 0, -12, 4, -2, 2], [-10, 0, 0, 12, -4, 0, -4, -4], [-2, 0, 0, 1, 0, 0, 0, 0], [-4, 2, 2, 11, -2, -2, -4, -4], [0, 2, -9, 0, 0, 2, 2, -2], [0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, -15, 0, 0, 0, 0], [-5, 0, 0, -5, 0, 0, 0, 0], [0, -1, 12, 0, 12, -1, 2, -2], [8, 0, 0, -8, 4, 0, 4, 4], [0, 3, -14, 0, 0, 3, 3, -3], [0, 1, 12, 0, -12, 1, 0, 0], [0, 0, 28, 0, 14, 0, 0, 0], [-4, 2, 2, 2, 1, -2, -1, -1], [0, -6, 0, 0, 17, -6, 3, -3], [0, 0, -12, 0, -6, 0, -4, 4], [-4, -3, -3, -1, -3, 3, 0, 0], [0, 6, 0, 0, 17, 6, -3, 3], [0, -4, -3, 0, -3, -4, 8, -8], [3, 3, 3, 9, 0, -3, -3, -3], [0, 2, -7, 0, -14, 2, -2, 2], [14, 0, 0, -8, 10, 0, 10, 10], [0, -3, -12, 0, 0, -3, -3, 3], [0, 0, -13, 0, -13, 0, 0, 0], [3, -6, -6, -9, 0, 6, 6, 6], [0, -5, 6, 0, -6, -5, 0, 0], [-4, -4, -4, -4, -2, 4, 2, 2], [0, -9, -2, 0, 2, -9, 0, 0], [-13, 8, 8, 3, 0, -8, -8, -8], [10, 0, 0, -5, 0, 0, 0, 0], [17, 2, 2, -13, 4, -2, 2, 2], [12, 0, 0, -12, 6, 0, 6, 6], [-7, -4, -4, -15, 0, 4, 4, 4], [0, 3, -4, 0, -4, 3, -6, 6], [-19, -6, -6, 7, -12, 6, -6, -6], [0, 10, 0, 0, -3, 10, -5, 5], [28, 5, 5, -9, 5, -5, 0, 0], [0, 0, -1, 0, -2, 0, 0, 0], [20, -7, -7, -17, -7, 7, 0, 0], [0, 0, 18, 0, 9, 0, -9, 9], [0, 8, 0, 0, 6, 8, -4, 4], [1, 7, 7, 15, 0, -7, -7, -7], [0, -6, -3, 0, 3, -6, 0, 0], [25, 1, 1, -23, 2, -1, 1, 1], [8, 0, 0, -10, 3, 0, 3, 3], [0, -2, 9, 0, 9, -2, 4, -4], [-7, -4, -4, -15, 0, 4, 4, 4], [6, -12, -12, -12, -6, 12, 6, 6], [0, -2, -9, 0, 0, -2, -2, 2], [6, 0, 0, -12, 0, 0, 0, 0], [0, -6, 0, 0, -15, -6, 3, -3], [0, 1, -6, 0, -12, 1, -1, 1], [0, 0, 9, 0, 9, 0, 0, 0], [-9, -3, -3, 3, -6, 3, -3, -3], [10, -14, -14, -14, -7, 14, 7, 7], [0, 0, 8, 0, 4, 0, 0, 0], [0, 11, 6, 0, 12, 11, -11, 11], [0, 0, 0, 0, 0, 0, -8, 8], [-6, -12, -12, -12, -6, 12, 6, 6], [11, 5, 5, -1, 10, -5, 5, 5], [0, 3, -6, 0, -6, 3, -6, 6], [0, -3, 8, 0, 16, -3, 3, -3], [0, -2, 5, 0, -5, -2, 0, 0], [-2, 0, 0, 16, 6, 0, 6, 6], [16, 3, 3, -5, 3, -3, 0, 0], [-4, 2, 2, -7, -2, -2, -4, -4], [0, 3, -8, 0, 8, 3, 0, 0], [0, 0, -27, 0, 0, 0, 0, 0], [0, -10, -3, 0, 0, -10, -10, 10], [-12, 6, 6, 3, -6, -6, -12, -12], [9, -3, -3, 3, 0, 3, 3, 3], [0, -2, 15, 0, 0, -2, -2, 2], [0, 4, 0, 0, -12, 4, -2, 2], [0, -4, 13, 0, -13, -4, 0, 0], [-13, -3, -3, -19, 0, 3, 3, 3], [-14, 4, 4, 4, 2, -4, -2, -2], [42, 0, 0, -21, 0, 0, 0, 0], [12, -6, -6, -9, 6, 6, 12, 12], [0, -6, 0, 0, 29, -6, 3, -3], [0, 0, -8, 0, -4, 0, 6, -6], [13, 6, 6, 25, 0, -6, -6, -6], [0, -7, 14, 0, 28, -7, 7, -7], [-5, -3, -3, -1, -6, 3, -3, -3], [0, -3, -4, 0, 0, -3, -3, 3], [-44, -1, -1, 21, -1, 1, 0, 0], [-9, 0, 0, -9, 0, 0, 0, 0], [0, 2, 17, 0, -17, 2, 0, 0], [0, 3, 14, 0, -14, 3, 0, 0], [0, -7, -12, 0, -12, -7, 14, -14], [1, 10, 10, 19, 20, -10, 10, 10], [-14, 0, 0, 40, 6, 0, 6, 6], [11, 1, 1, 13, 0, -1, -1, -1], [0, -1, 36, 0, 36, -1, 2, -2], [0, 0, -12, 0, -6, 0, -8, 8], [-11, 4, 4, 19, 8, -4, 4, 4], [-26, 8, 8, 21, 8, -8, 0, 0], [0, 0, 34, 0, 17, 0, 9, -9], [0, -6, 0, 0, 9, -6, 3, -3], [-12, 18, 18, 18, 9, -18, -9, -9], [0, 0, 28, 0, 14, 0, 4, -4], [0, -3, 0, 0, 0, -3, 0, 0], [-3, 6, 6, 15, 12, -6, 6, 6], [0, 18, 0, 0, -5, 18, -9, 9], [0, 6, -27, 0, 0, 6, 6, -6], [0, 3, 20, 0, 0, 3, 3, -3], [-10, -10, -10, -10, -5, 10, 5, 5], [-4, 2, 2, -43, -2, -2, -4, -4], [6, -8, -8, -11, -8, 8, 0, 0], [0, 12, 0, 0, 4, 12, -6, 6], [-10, 0, 0, 0, -10, 0, -10, -10], [0, 10, -7, 0, -14, 10, -10, 10], [0, -7, 24, 0, 24, -7, 14, -14], [0, 0, -34, 0, -17, 0, 3, -3], [-12, 6, 6, 15, -6, -6, -12, -12], [0, 14, -1, 0, -2, 14, -14, 14], [0, 0, 30, 0, 15, 0, -11, 11], [-13, 0, 0, 13, 0, 0, 0, 0], [0, -2, 9, 0, 9, -2, 4, -4], [-22, 0, 0, 26, -9, 0, -9, -9], [0, 8, 0, 0, 18, 8, -4, 4], [22, 0, 0, -46, -1, 0, -1, -1], [4, 15, 15, 13, 15, -15, 0, 0], [6, -3, -3, 45, 3, 3, 6, 6], [0, 0, -17, 0, 17, 0, 0, 0], [-4, 0, 0, 0, 0, 0, 0, 0], [4, -2, -2, 1, 2, 2, 4, 4], [-13, 6, 6, -1, 0, -6, -6, -6], [12, 0, 0, 10, 17, 0, 17, 17], [0, 2, -3, 0, 0, 2, 2, -2], [15, -3, -3, -21, -6, 3, -3, -3], [0, 0, -32, 0, -16, 0, -12, 12], [-32, 4, 4, 4, 2, -4, -2, -2], [0, 6, 0, 0, -5, 6, -3, 3], [0, 0, -10, 0, -5, 0, 7, -7], [0, 4, 23, 0, 46, 4, -4, 4], [16, -8, -8, -17, 8, 8, 16, 16], [0, 10, 0, 0, -27, 10, -5, 5], [0, 0, -10, 0, -5, 0, 15, -15], [1, -6, -6, -11, 0, 6, 6, 6], [12, -7, -7, -13, -7, 7, 0, 0], [0, 1, 6, 0, 6, 1, -2, 2], [0, 5, 2, 0, -2, 5, 0, 0], [10, 12, 12, 12, 6, -12, -6, -6], [-15, -1, -1, -17, 0, 1, 1, 1], [0, -9, -18, 0, -18, -9, 18, -18], [0, 4, 3, 0, 0, 4, 4, -4], [6, 0, 0, -24, -6, 0, -6, -6], [0, 3, 28, 0, 28, 3, -6, 6], [0, 0, -46, 0, -23, 0, 1, -1], [0, 4, 0, 0, 54, 4, -2, 2], [38, -8, -8, -27, -8, 8, 0, 0], [18, -9, -9, -37, 9, 9, 18, 18], [0, -6, 5, 0, 10, -6, 6, -6], [-46, 6, 6, 6, 3, -6, -3, -3], [15, -10, -10, -5, 0, 10, 10, 10], [0, 4, -3, 0, 0, 4, 4, -4], [-24, 0, 0, 36, -6, 0, -6, -6], [0, -1, -36, 0, -36, -1, 2, -2], [-21, 13, 13, 5, 0, -13, -13, -13], [4, -2, -2, -5, 2, 2, 4, 4], [0, 3, -28, 0, 0, 3, 3, -3], [20, -4, -4, -4, -2, 4, 2, 2], [0, -3, 2, 0, 0, -3, -3, 3], [0, -11, 4, 0, -4, -11, 0, 0], [26, -4, -4, -17, -4, 4, 0, 0], [0, 0, 0, -24, -12, 0, -12, -12], [0, 18, 0, 0, -5, 18, -9, 9], [-12, 6, 6, 27, -6, -6, -12, -12], [0, -8, -15, 0, -30, -8, 8, -8], [0, 0, 40, 0, 20, 0, -4, 4], [-31, -3, -3, 25, -6, 3, -3, -3], [-18, 0, 0, 36, 0, 0, 0, 0], [-22, 0, 0, 12, -16, 0, -16, -16], [0, -12, 3, 0, -3, -12, 0, 0], [0, 0, -3, 0, 0, 0, 0, 0], [26, -12, -12, -12, -6, 12, 6, 6], [0, 0, -45, 0, 0, 0, 0, 0], [14, -7, -7, -1, 7, 7, 14, 14], [0, 9, -16, 0, -16, 9, -18, 18], [16, 0, 0, -40, -4, 0, -4, -4], [0, 0, -57, 0, 0, 0, 0, 0], [19, 0, 0, -19, 0, 0, 0, 0], [-25, 24, 24, 23, 0, -24, -24, -24], [28, -8, -8, -8, -4, 8, 4, 4], [0, -20, 0, 0, -6, -20, 10, -10], [0, 0, -48, 0, -24, 0, -2, 2], [-4, 9, 9, 11, 9, -9, 0, 0], [0, -2, -17, 0, -34, -2, 2, -2], [-8, 4, 4, 13, -4, -4, -8, -8], [-49, -1, -1, 47, -2, 1, -1, -1], [0, 2, -5, 0, -10, 2, -2, 2], [9, 3, 3, -3, 6, -3, 3, 3], [0, 15, -8, 0, -8, 15, -30, 30], [-1, -6, -6, -13, 0, 6, 6, 6], [0, -8, 21, 0, -21, -8, 0, 0], [44, -4, -4, -4, -2, 4, 2, 2], [0, -3, -10, 0, 10, -3, 0, 0], [23, -22, -22, -21, 0, 22, 22, 22], [-28, -15, -15, -1, -15, 15, 0, 0], [0, 9, 30, 0, 0, 9, 9, -9], [0, 21, 4, 0, 8, 21, -21, 21], [-1, -11, -11, -23, 0, 11, 11, 11], [0, 0, -24, 0, -12, 0, 14, -14], [-39, -3, -3, 33, -6, 3, -3, -3], [0, -4, 0, 0, 48, -4, 2, -2], [46, 2, 2, -21, 2, -2, 0, 0], [2, -1, -1, -7, 1, 1, 2, 2], [0, -12, 9, 0, 18, -12, 12, -12], [0, -6, 0, 0, -9, -6, 3, -3], [0, 18, 15, 0, -15, 18, 0, 0], [0, 12, 0, 0, -22, 12, -6, 6], [0, -12, -15, 0, 0, -12, -12, 12], [16, 0, 0, -20, 6, 0, 6, 6], [0, 15, -6, 0, 0, 15, 15, -15], [0, 4, -23, 0, 23, 4, 0, 0], [-20, 10, 10, 25, -10, -10, -20, -20], [36, -13, -13, -31, -13, 13, 0, 0], [24, 0, 0, -40, 4, 0, 4, 4], [0, -9, -6, 0, 6, -9, 0, 0], [0, -2, -9, 0, -9, -2, 4, -4], [0, 18, 18, 18, 9, -18, -9, -9], [0, 0, 28, 0, 14, 0, -12, 12], [0, 18, 13, 0, 26, 18, -18, 18], [-6, 3, 3, -65, -3, -3, -6, -6], [0, -6, 19, 0, 19, -6, 12, -12], [0, -3, -26, 0, -52, -3, 3, -3], [0, 5, -26, 0, 26, 5, 0, 0], [-32, 0, 0, 76, 6, 0, 6, 6], [46, 0, 0, -23, 0, 0, 0, 0], [8, -4, -4, -13, 4, 4, 8, 8], [0, 4, -39, 0, 0, 4, 4, -4], [-21, 12, 12, 3, 0, -12, -12, -12], [0, 4, 0, 0, 24, 4, -2, 2], [-23, 24, 24, 25, 0, -24, -24, -24], [0, 0, -24, 0, -12, 0, 18, -18], [-24, 12, 12, 12, 6, -12, -6, -6], [0, 0, 0, 0, -58, 0, 0, 0], [0, 0, -28, 0, -14, 0, 10, -10], [44, -3, -3, -25, -3, 3, 0, 0], [10, -5, -5, -5, 5, 5, 10, 10], [-5, -8, -8, -11, -16, 8, -8, -8], [0, -11, 24, 0, 24, -11, 22, -22], [0, 7, 30, 0, 60, 7, -7, 7], [-12, -7, -7, -1, -7, 7, 0, 0], [0, 6, -27, 0, -27, 6, -12, 12], [-26, 16, 16, 16, 8, -16, -8, -8], [8, 6, 6, 6, 3, -6, -3, -3], [0, -8, 45, 0, 0, -8, -8, 8], [35, 8, 8, -19, 16, -8, 8, 8], [0, -21, 6, 0, 12, -21, 21, -21], [0, 4, -27, 0, -27, 4, -8, 8], [0, 0, -32, 0, -16, 0, 2, -2], [-23, 9, 9, 41, 18, -9, 9, 9]], 'char_orbit_index': 84, 'field_poly': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'hecke_orbit_code': 4509303377495056, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0, 0, 0]], [261, [1, 0, 0, 0, 0, 0, 0, 0]], [417, [-1, 0, 0, 0, 0, 0, 0, 0]], [561, [0, 0, 0, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 20, 40, 20, 40, 20, 20, 40], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, -1, 1, 0, 0], [-2, -1, -1, 2, 0, 1, 1, 1], [0, 0, 0, 0, 5, 0, -1, 1], [0, 3, 3, 2, 3, -3, 0, 0], [0, 1, 11, 0, 0, 1, -1, 1], [-14, 0, 0, 0, -5, 0, -5, -5], [0, -7, -13, 0, -13, -7, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-12, 20, -5, 0, 5, 0, -1, 0], [0, -12, 0, -5, 0, 5, 0, -1], [36, 0, 15, 0, 5, 0, 3, 0], [0, -16, 0, 5, 0, -5, 0, -3], [12, 6, 5, 0, -5, 0, 1, -2], [-28, -16, 0, -15, 0, -5, -4, -3], [-56, 48, 0, 25, 0, 15, -8, 9]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 64791, 'label': '1040.2.df.b', 'level': 1040, 'maxp': 1999, 'weight': 2}