Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [2, -1, -1, 0, -1], [0, 0, 0, 0, 0], [1, -1, 1, -2, 0], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -1, -1, 0, -1], [1, 3, -1, 1, -1], [0, 0, 0, 0, 0], [2, 0, -1, 0, 1], [1, -1, 1, -2, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [5, -3, 4, -2, 5], [0, 0, 0, 0, 0], [-1, 1, -1, 4, 0], [2, -1, -1, 0, -1], [0, 0, 0, 0, 0], [1, 3, -1, 1, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [5, -2, -1, 3, -3], [2, 0, -1, 0, 1], [0, 0, 0, 0, 0], [1, -1, 1, -2, 0], [1, -4, 3, -1, 0], [0, 0, 0, 0, 0], [1, 0, 1, -3, -1], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [5, -3, 4, -2, 5], [6, -3, 7, -7, 2], [0, 0, 0, 0, 0], [-4, 0, -3, 1, 0], [-1, 1, -1, 4, 0], [0, 0, 0, 0, 0], [2, -1, -1, 0, -1], [1, 2, -3, -1, 1], [0, 0, 0, 0, 0], [1, 3, 1, 2, -3], [1, 3, -1, 1, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 1, -3, -1, -2], [0, 0, 0, 0, 0], [-2, 0, -1, 2, -3], [5, -2, -1, 3, -3], [0, 0, 0, 0, 0], [2, 0, -1, 0, 1], [3, 2, -2, 4, -4], [0, 0, 0, 0, 0], [-5, 6, -10, 2, -7], [1, -1, 1, -2, 0], [0, 0, 0, 0, 0], [1, -4, 3, -1, 0], [2, 0, 1, -1, 2], [0, 0, 0, 0, 0], [1, -2, 1, -2, 5], [1, 0, 1, -3, -1], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [3, 0, -5, 2, 0], [0, 0, 0, 0, 0], [2, -1, -3, -1, 4], [5, -3, 4, -2, 5], [0, 0, 0, 0, 0], [6, -3, 7, -7, 2], [0, 6, -1, 4, 0], [0, 0, 0, 0, 0], [0, -5, 1, -4, 2], [-4, 0, -3, 1, 0], [0, 0, 0, 0, 0], [-1, 1, -1, 4, 0], [-4, 4, -4, -3, -4], [0, 0, 0, 0, 0], [-3, 1, -3, -4, 1], [2, -1, -1, 0, -1], [0, 0, 0, 0, 0], [1, 2, -3, -1, 1], [3, 7, -2, -2, 0], [0, 0, 0, 0, 0], [7, -17, 8, -11, 10], [1, 3, 1, 2, -3], [0, 0, 0, 0, 0], [1, 3, -1, 1, -1], [10, -1, 5, -5, 1], [0, 0, 0, 0, 0], [0, -1, 2, -4, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 1, -3, -1, -2], [-8, 1, -11, 13, -4], [0, 0, 0, 0, 0], [1, -1, 9, -2, -2], [-2, 0, -1, 2, -3], [0, 0, 0, 0, 0], [5, -2, -1, 3, -3]], 'ap': [[1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -1, -1, 0, -1], [1, -1, 1, -2, 0], [1, 3, -1, 1, -1], [2, 0, -1, 0, 1], [5, -3, 4, -2, 5], [-1, 1, -1, 4, 0], [0, 0, 0, 0, 0], [1, -4, 3, -1, 0], [1, 0, 1, -3, -1], [-4, 0, -3, 1, 0], [1, 2, -3, -1, 1], [1, 3, 1, 2, -3], [-1, 1, -3, -1, -2], [3, 2, -2, 4, -4], [2, 0, 1, -1, 2], [1, -2, 1, -2, 5], [2, -1, -3, -1, 4], [0, 6, -1, 4, 0], [0, -5, 1, -4, 2], [-3, 1, -3, -4, 1], [3, 7, -2, -2, 0], [10, -1, 5, -5, 1], [1, -1, 9, -2, -2], [-2, 1, -1, 7, -3], [-2, 7, -2, 3, -5], [5, -6, 4, -6, -2], [-9, 4, -6, 4, -10], [5, 6, -1, -2, 3], [-8, 4, -1, 10, -5], [-2, 2, -1, 3, -9], [6, -3, 3, 3, 0], [-12, 6, -2, -1, -10], [6, 0, -9, 1, -4], [-6, 6, 2, 3, 3], [1, -5, -4, 7, 4], [0, 7, 6, 3, -3], [-3, -1, 2, -1, -7], [-1, 1, -10, 1, -1], [12, -10, 11, -11, 11], [-3, 7, -8, 9, -3], [13, -7, 14, -8, 8], [-5, -10, 0, -7, 9], [-1, -2, -6, -2, -1], [0, -10, 4, 1, 3], [10, -7, 6, -4, 15], [-8, 3, -2, 4, 5], [-1, -3, 2, 12, -3], [-3, 13, -3, 6, -6], [-4, 1, 8, -1, 8], [7, -2, 4, -8, 11], [9, -13, -4, -2, 5], [-3, -1, -9, 9, -4], [4, -2, 5, -2, 3], [-9, -2, -7, -7, 3], [-12, 6, 0, 3, 7], [-4, 7, 8, -3, -3], [1, 4, 3, 15, -5], [4, 6, -9, 7, 3], [2, 3, 0, 7, -8], [8, 5, -7, -4, -1], [-3, 6, -7, 1, 2], [-10, 10, -3, 12, -13], [0, -1, -6, 1, 6], [7, -9, 16, 0, 2], [-12, 3, -10, 18, -2], [6, -7, 16, -6, 6], [-5, 4, -10, 9, 3], [16, -15, 21, -15, 19], [8, -3, 12, 1, 11], [12, -14, 10, -6, 15], [5, -4, 7, 0, 8], [-4, -7, 2, -13, 18], [4, -14, 11, -18, 8], [12, 5, -3, 6, 3], [13, 9, -1, 3, -4], [-14, 2, 2, 1, 4], [1, 4, -9, 1, -2], [2, 2, -3, -6, -7], [7, -5, 4, 0, 4], [-5, 5, 2, -8, 2], [-16, 4, -10, 3, -7], [14, 4, 8, -14, 6], [-6, -1, 13, -1, 3], [-1, 17, -12, 8, -8], [-10, -2, -8, 3, -6], [10, -7, 16, -6, 5], [6, 1, -4, -8, -2], [-16, 14, -9, 1, -8], [-11, 3, -2, -3, -4], [10, -6, 16, -1, 5], [-3, 10, -9, 4, -10], [7, -11, -3, 5, -7], [1, -15, 11, -7, 7], [-25, 17, -4, 6, -11], [-9, -7, -6, 3, -6], [10, -21, 16, -5, 13], [20, -5, 12, -18, 16], [9, -2, -2, -9, 4], [2, -16, 17, -16, 9], [-11, 12, 5, -2, -2], [6, -17, 17, -11, 11], [-7, 0, -11, 9, -15], [25, -14, 6, -22, 9], [7, 6, 4, 11, -2], [-6, -5, -6, 4, -7], [-8, 15, -6, 2, -14], [-6, 1, 0, -9, 6], [-16, 5, -15, 5, -3], [4, -15, 5, -24, 13], [16, -1, -12, 0, -5], [0, -2, -6, 4, 2], [-1, 26, -5, -1, -3], [1, 12, 1, -7, 2], [-10, 4, -13, 23, -1], [-1, 0, 1, 13, -15], [-16, 25, 5, 7, -11], [5, -13, -9, 11, 7], [-15, -1, -7, 4, -3], [3, 13, 6, 16, -13], [-27, 7, -12, 12, 3], [-4, 11, -18, 11, -4], [17, -15, 18, -24, 32], [-10, -14, 15, -9, 5], [-13, 1, -4, 4, 8], [-3, -7, 4, 6, 10], [13, -5, 26, -8, 16], [18, -15, -7, -1, 2], [-7, -6, 0, -11, -7], [4, -15, 7, -9, 20], [-10, -9, 14, 10, -3], [-13, 16, -11, 18, -9], [0, 4, 10, -8, -4], [-18, 10, -13, 13, -2], [-8, 5, -13, 13, -21], [2, -19, 16, -21, 10], [8, 9, 12, 6, -12], [-13, 2, -4, -7, -16], [14, -25, 16, -10, 16], [4, -1, 0, -11, 12], [9, -8, 11, -22, 1], [19, 8, -13, -1, -8], [-20, -11, 19, -1, 5], [22, -31, 28, -26, 37], [-2, 7, -13, -3, 12], [-21, 8, 0, 14, -11], [-4, -21, 3, -9, 4], [-13, -3, -14, 9, -4], [-8, -2, -2, 29, -12], [-18, 9, -30, 17, -16], [-11, 10, 3, 25, -6], [19, -2, 20, 12, -11], [-15, 11, -21, 4, -6], [22, -1, 9, -13, 5], [-16, -1, 1, -7, -10], [-14, 9, -18, -5, -9], [13, 14, 7, -12, -2], [17, -4, 2, -16, -2], [0, 7, 2, 11, -16], [-39, 8, -19, 21, -10], [-25, 2, -1, -6, -17], [-7, 7, -22, 10, 2], [-23, 4, -9, 11, -10], [-4, 3, -6, 13, -13], [-13, 11, -8, 18, -29], [-10, -10, -5, -18, 14], [-25, 17, -1, 3, -14], [-2, 0, 24, -6, -4], [-13, -4, -24, 13, -13], [2, -10, -1, 0, -18], [9, -13, 9, -20, 10], [-4, 0, 16, -8, 5], [6, 10, 6, 22, -16], [13, -17, -10, -6, 16], [10, 22, -11, -12, 3], [-22, 10, -13, 30, -4], [17, -12, 2, 0, 3], [21, -5, 2, 1, 2], [15, -21, 26, -12, 20], [10, -1, -10, 9, -22], [6, -16, 4, -2, 23], [-14, 18, -12, 0, -11], [-22, 22, 0, 22, -13], [-16, -3, 18, 0, -4], [14, 12, -5, 18, 12], [-22, 2, -20, 9, 3], [-21, 1, -9, -2, -19], [40, -12, 25, -9, 10], [16, 21, -8, -1, 8], [-18, -4, -9, -4, -2], [10, -15, 24, -8, 33], [-9, 11, -19, 14, -11], [-13, 7, 3, 5, -1], [-35, 20, -13, 7, -25], [-13, 8, -17, 1, 17], [-2, -13, -5, -10, 6], [2, -23, 27, -22, 26], [7, -5, -13, -19, -7], [5, -16, 21, -17, -5], [26, -8, 13, -9, 6], [-6, -5, -3, 12, -12], [0, 15, -6, 9, 13], [-12, -2, -12, -2, -25], [-1, 10, 1, -12, 2], [1, 23, -14, 2, 1], [-25, 14, 7, -11, -7], [-29, 6, -17, 11, -19], [-35, 5, -19, 14, 11], [21, 6, -3, 15, -10], [-24, 24, -11, 32, 3], [16, -7, 8, 1, -16], [26, -17, 17, -23, -6], [0, 4, 16, 19, -13], [15, -14, 23, -22, 5], [11, 4, 5, -15, -7], [6, -24, 5, -3, 26], [12, 4, 10, -15, 24], [-31, 12, -8, 28, -7], [36, -21, 19, 4, 19], [-27, 12, -5, 17, -24], [-28, 6, 15, -3, 2], [1, 10, 2, -33, 1], [5, 3, 0, 5, -19], [-2, 9, -9, 27, -16], [3, 2, 29, -4, -6], [19, 25, 6, -20, 22], [2, 2, 1, -8, -20], [-19, -10, -20, 18, 7], [22, -9, 6, -37, 7], [-26, 32, -6, 17, -21], [1, -8, 5, -22, 29], [-18, -16, 11, -14, 9], [28, -19, 8, 8, -3], [33, -19, 36, -9, 18], [20, -3, 24, -18, -9], [-29, 12, -17, -1, -27], [17, -10, 18, 16, 0], [9, -28, 9, -16, 10], [-4, 16, 4, -15, 34], [-11, 0, 10, -4, -7], [-6, 10, 18, -3, 9], [2, 13, -37, 1, -7], [9, -8, 2, -18, -7], [17, 34, -21, 14, 0], [19, 0, 25, -3, -12], [8, -14, 31, -17, -3], [-6, 15, -4, -11, 0], [16, -24, 18, 1, 0], [-16, 14, -11, -11, 8], [-36, 5, 26, 0, 16], [-5, -7, -16, -16, 20], [-31, 23, -21, 16, -12], [-11, -9, -5, -8, 15], [-18, 34, -3, -5, -3], [-12, 13, -7, 16, 14], [-16, -5, 10, -6, 0], [-19, 4, -7, 14, 10], [-26, 5, -2, -10, -21], [0, 19, -24, 18, -34], [14, 10, -2, -1, 22], [10, -24, 9, -20, 33], [-2, -10, -10, 2, -1], [10, 26, -4, 5, 23], [39, -3, 28, -27, 18], [-27, 47, -35, 41, -43], [23, 31, -13, 15, -5], [10, -12, -5, 12, -32], [-12, 9, -19, 22, -29], [-15, 24, -8, -2, 4], [12, -29, -2, 1, 6], [14, -2, -8, 4, 14], [0, 16, -22, 20, -25], [-34, 2, -23, 16, -11], [4, 24, 0, 19, -14], [-34, -9, 2, -21, 2], [-28, 4, -28, 22, -12], [38, -7, 28, -34, 16], [23, -37, 7, -12, 25], [16, -15, 1, -4, 16], [-6, 18, 18, -11, 12], [-38, -8, 4, -4, -5], [21, -38, 6, -19, 26], [1, 2, 0, -16, -4], [-13, -17, 9, -38, -3], [9, -21, -3, 7, -10], [33, -13, 13, 8, 30], [54, 5, 8, 3, 0], [21, -12, 15, -17, 21], [-37, 6, 6, -4, 9], [40, -25, 25, -31, 9], [-5, 5, -4, 17, -1], [-15, 21, -34, 18, -40], [-20, -11, -2, -17, 13], [30, -5, -1, 2, 4], [3, 7, 13, -28, 26], [27, -8, 12, 20, 14], [-8, 44, -8, 5, -9], [-1, -18, 18, -2, 26], [-16, 17, -32, 35, -32], [44, 19, -8, -7, 6], [13, 7, 21, -17, -13], [48, -26, 37, -8, 34], [16, 8, 11, 2, -24], [20, 1, 22, -15, -16], [4, -3, -10, 9, 23], [11, -3, -6, -17, -1], [-15, 2, 13, 9, 8], [41, -23, 31, -39, 16], [-4, 5, -13, -31, -8], [15, -4, -6, 16, -7], [9, -36, -1, 3, -4], [-11, 12, 3, -10, 7], [-25, 28, 0, -16, -14], [19, -21, 5, -21, -8], [3, -10, 15, -7, 0], [-18, -1, 9, -15, -13], [8, -15, 7, -21, 32], [-5, 3, -2, 23, 7], [25, -14, 14, -41, 23], [-27, 15, -14, -6, 10], [-11, 12, -5, 1, -30], [-15, -12, 7, 13, -6], [-19, 24, -21, -3, -17], [-27, -6, 14, 5, -10], [19, -8, 9, -14, 4], [-18, -3, -11, -37, 1], [2, -12, -17, 1, 5], [-13, 27, -27, -25, -4], [-8, -2, -18, -1, -27], [5, -18, 30, 1, 6], [6, -1, 7, 9, -15], [-30, 3, -38, 32, -22], [-45, 7, -38, 35, -4], [30, 14, 2, -17, -3], [19, 6, 27, 2, -5], [-42, 20, -40, 22, -59], [-4, 9, 4, -4, 18], [-22, 17, -32, 17, -47], [-15, -10, -8, 18, 2], [-9, -1, 36, -3, 6], [4, 15, -25, -3, -6], [8, -26, 5, 11, -5], [-51, -2, 5, 7, 11], [44, 0, 24, -23, 17], [1, 11, -45, 3, -30], [-10, 14, -41, 7, -23], [-24, 5, -3, 21, -21], [-5, -32, 16, -33, 15], [-10, 26, -18, 2, 12], [12, 22, 22, 10, -20], [-30, 18, 13, 29, -11], [37, -7, 28, -27, -6], [8, 5, 27, -19, 23], [21, -13, 19, -13, 23], [-44, 6, -17, 35, -14], [15, 18, -18, 32, -26], [-18, 7, 3, 28, 16], [45, 3, -2, -11, 9], [12, -8, -30, -9, 5], [-54, -6, 11, -16, -10], [12, -6, -18, 9, -13], [-7, 19, -28, 13, -34], [1, 0, -23, 22, -52], [0, -13, 5, 13, -8], [52, -46, 38, -54, 36], [27, 13, -14, 25, 10], [12, 32, -33, 20, -25], [5, -2, 16, 11, -9], [13, -24, -4, -11, -24], [-41, 32, -44, 6, -29], [29, 3, -11, 29, -7], [39, -6, -6, 6, 25], [-30, 11, -22, 2, -33], [-12, -24, -1, 13, 1], [36, -7, 22, 23, 1], [13, -53, 8, -17, 28], [54, -33, 33, -14, 50], [-43, -13, 0, 14, -8], [-9, 34, -8, -16, -2], [44, -4, 2, 0, -9], [-31, 36, -42, 29, -21], [29, -30, 1, 3, 5], [-19, -3, -7, -33, 13], [-21, 4, -46, 25, -18], [-41, -10, -9, -21, 29], [0, 41, -42, 24, -3], [51, -35, 27, -33, 44], [17, -2, 10, 11, -24], [-59, 26, -26, 53, -22], [-15, -24, -12, 0, 18], [-12, 13, -18, -13, 5], [2, -12, 9, -13, 23], [2, 20, -28, 21, -6], [27, 9, 19, -3, -23], [18, 11, -8, -2, 1], [-44, 44, -64, 36, -53], [18, 6, 1, 20, -45], [-57, 22, -2, 16, -18], [-24, -12, 12, -6, 24], [15, 6, -7, -20, -15], [11, -18, -29, -11, 10], [15, -41, 3, -21, 28], [49, -43, 33, -27, 30], [-15, -15, 27, -12, -9], [45, -28, 34, -61, 9], [35, -4, 44, -29, -6], [-8, -12, 0, 6, -13], [45, -14, -12, -8, -20], [29, 32, -31, 26, -1], [39, -24, 18, 3, 10], [-22, 0, 28, 8, 13], [5, -42, 21, -27, 3], [42, -15, 41, -37, 31], [-25, -23, -17, 27, -20], [-52, 19, 5, 23, 7], [24, -1, -2, 1, -21], [47, 22, -1, -10, 2], [-42, 9, -16, -16, -19], [-22, 8, 16, -17, -42], [32, -10, 25, -56, 20], [26, 2, 9, -17, 43], [32, -19, -3, 0, -2], [-27, 4, 30, -4, 16], [13, -6, -16, 8, -14], [7, -25, -10, 23, -13], [-34, 23, -19, 52, -12], [17, 17, 17, 10, 1], [-5, 16, -31, 14, -49], [-37, 19, -32, 18, -47], [29, -19, -24, -6, -17], [19, 6, -13, 10, 19], [-63, 39, -6, 5, -32], [12, 5, 25, -20, 46], [47, -11, 26, 15, 4], [46, -8, -9, -17, -9], [-51, 39, -51, 36, -46], [4, 38, 12, -11, -6], [14, -19, -2, -45, 1], [-10, -26, 42, -3, 14], [10, -33, 30, -18, 1], [43, -36, 4, 9, 15], [-36, -16, 13, -12, -30], [-56, 8, -34, 18, -30], [26, -18, 35, -44, -13], [7, -14, -7, -17, 5], [11, -4, 1, 11, 1], [37, 2, 13, -16, 17], [-22, 32, -7, 26, 0], [-14, -31, -14, -16, 29], [23, -33, 16, -50, 23], [11, -52, 9, -22, 16], [12, 23, 19, -23, 22], [8, -33, 24, -8, -9], [3, 2, -29, 4, -42], [12, 5, -22, -4, -17], [4, -31, -17, 7, 18], [-15, 5, -14, 16, -15], [48, 5, -12, -14, -7], [20, -10, 17, -7, -13], [-3, 5, -15, -12, -28], [-47, 24, 34, 20, 15], [17, 21, -38, 6, -3], [-14, 16, -25, 14, -33], [-41, -2, -30, 5, 22], [-14, -34, 0, -10, 32]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 234187180656829746, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 3, 0, 1, 0], [6, 0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [0, -3, 0, 1, 0], [2, 0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'id': 201924, 'label': '9522.2.a.ca', 'level': 9522, 'maxp': 3313, 'weight': 2}