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  27/8, 0, -11/8, 0, 7/4, 3, -1/4, -7/4, 9/8, 1/2, -3/4, -11/24, -7/8, -17/6, 
  -7/8, -1/6, 0, -1/2, 13/8, 11/24, 11/8, -15/4, -39/4, -41/8, 5/4, 3, 
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  0, -5/8, -1/2, 1/4, 0, -3/8, -11/24, 11/24, 0, 1/6, -3/8, -39/8, 1/8, 
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  0, 0, 1/2, 1, -2, 0, 0, 3/2, 15/2, 5/2, -1/2, -3/2, -5/2, -10, -5/2, 3, 3, 
  1, 4, 0, -3, 29/6, -4, -9, -29/6, 9, 4, -4, 4, 0, 0, 0, 0, 0, -2, 5, 3/2, 
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  -59/12, 11/12, 0, -2/3, 0, -21/4, -1, -11/4, 0, 5/4, -13/4, -29/6, -5/4, 
  13/4, -5/12, -1, -4, -11/4, 4, -1/2, -9/4, 0, 1, 0, -3/2, -1, 5/4, 0, 
  -7/12, -13/4, 1/2, -23/6, -5/4, 23/12, 13/4, -5/12, -1, 0, 0, 1/2, -33/4, 
  -3/4, 47/12, 23/2, -3/4, 5/4, 0, 3/4, -1/6, 0, 0, -1/2, 5/4, -3/4, -11/12, 
  13/12, -5/12, 11/12, 1/3, -1/4, -5/4, 1, 7/3, -13/12, -25/12, -5/4, 3/4, 
  5/2, 3/4, 1/8, 1, 0, -5/4, -1/4, -1/2, 3/8, 3/4, -7/12, 1/6, -11/12, 3/8, 
  -1/3, -1/3, 1/4, -5/2, 5/4, -11/2, -3, 19/12, 5/6, -1/4, -5/2, -5/4, 0, 
  -3/2, 3/8, -1/2, 0, 1/2, -3/8, -17/24, 1/2, -1/24, 1/3, -3/2, 3, 3, 3, 
  -21/4, -2, 15/4, -19/4, -9/2, -9/4, 1, 3/2, -1/2, 1/2, 3/2, 0, -1/2, 3/8, 
  1/2, -3/8, -17/24, 1/2, -1/24, 1/3, 0, 29/8, 2, 1, -11/2, 0, 37/12, -15/4, 
  -25/12, -2, -15/4, 1/4, 17/4, 7/12, -11/4, 1/2, 9/4, 0, -5/4, -6, -19/4, 
  -21/4, 0, 8/3, 43/12, 11/6, 1/2, 39/2, 69/4, -83/12, -63/4, 0, -9/4, -6, 
  -1/2, -11/4, 3/4, -2/3, 8/3, 2/3, 11/6, 11/4, 39/2, 45/4, -4, -63/4, 0, 0, 
  0, 0, 0, 0, -3/2, -3/2, -3/2, 3/2, -11/6, 5/12, 19/12, 0, 15/4, 3/4, -6, 
  -17/6, 0, 0, 9/2, 0, 0, -15/4, -1/2, -1/4, 0, -9/2, 0, 17/4, 3/4, 3, 0, 
  -3/2, -3, 1/2, 3/4, -1/2, 0, -19/12, -3, -19/8, 19/12, 15/8, -11/12, 5/6, 
  35/12, 11/12, -3/4, -39/4, 1, 39/4, -1/4, 43/12, 39/4, -37/12, -17/6, 27/4, 
  -27/4, -27/4, -3/4, -3, 0, -1/4, -3/2, -3/8, -5/8, -1/8, 0, 5/6, -13/12, 
  19/6, 65/12, 11/12, 5/2, 5/4, 39/4, -17/6, -1/2, -27/4, 1/2, 0, 0, 0, 0, 
  -5/4, -3/4, 3/8, 13/8, -3/8, 17/12, 17/6, 0, -145/24, -41/12, 10/3, -10/3, 
  -17/12, 45/8, 23/12, -5/4, -9/4, 31/4, 57/4, -7, 1/3, 3/2, -275/24, -7/12, 
  15/4, -12, -5/2, 0, 0, 0, 0, -1/4, 0, -17/12, -17/12, 11/8, 23/12, -3/4, 
  -3, 0, 3/4, -1/2, 5/4, 10/3, -2, 5/12, 3/4, 39/4, -1/4, -22/3, -27/4, -3/4, 
  -3, 0, 3/2, 3, -1/2, -3/4, 1/2, 0, 5/6, 7/8, -17/6, 0, -1/2, -1/2, 11/12, 
  0, 13/24, 3/2, 11/24, 3/4, 39/4, -1, -39/4, 1/4, -17/6, 31/3, 9/8, -37/24, 
  -27/4, 27/4, 0, 0, 1/2, 0, -3/8, -1/2, 3/8, 1/3, -1/2, 1/24, -1/3, -3/2, 0, 
  -1/4, 3/8, 5/12, 11/24, 0, 0, 1, -3/4, 0, -1, 11/8, 0, -3/4, -11/24, -13/8, 
  0, -17/6, 1, -1/2, 1/3, 3/4, -17/12, -11/12, 0, -1/3, 0, 5/2, -4, -3/2, 
  1/4, -67/8, 4, -7/8, 15/8, 3/8, 11/24, 29/12, 41/24, -29/24, -73/24, 0, 
  -19/12, -14/3, -11/24, -11/8, 23/8, 39/8, 7/2, -13/4, -3/2, 1/4, -151/24, 
  -17/6, 9/8, 1/8, -27/8, 0, 5/8, 0, -1/2, 3/8, 1/2, -3/8, -1/3, 1/2, -1/24, 
  0, 1/3, 0, 0, 1/2, -1/4, -3/8, -1/2, 5/8, 3/8, -3/8, -11/24, 1/3, 0, -1/12, 
  1/6, -1/4, -5/24, 3/8, -11/24, 1/3, -1/6, 0, 5/8, 3/4, 3/2, 1/4, -15/8, 
  -1/4, 1/8, 5/8, -3/8, 11/24, -2/3, -17/12, 0, -67/24, -1/12, -11/12, -1/24, 
  5/3, 11/24, 1/8, -27/8, -39/8, -1/2, 21/4, 3/2, 7/6, 127/24, -41/12, 
  -31/24, -1/8, 27/8, 0, -5/8, -3/4, -3, 0, -9/8, 1/2, -1/4, 17/8, 3/8, 0, 
  5/6, 3/4, -7/12, -55/24, 11/12, 7/12, 0, 73/8, 49/8, -1/2, -3/2, -3/2, 
  49/24, -7/12, -47/8, 0, 0, 9/8, -3/2, 0, -9/8, -1/4, 0, -7/8, -7/12, -1/2, 
  1, 3/4, -11/12, 31/24, -1/3, 0, -9/8, 39/8, 0, -1/8, 23/8, -55/24, -31/8, 
  -43/24, -27/8, 5/8, -3/8, -3/2, 0, 3/4, 3/2, -1/4, -3/8, 1/4, 0, 5/12, 0, 
  1/2, -23/12, 0, -3/4, -1/4, 11/24, -17/12, -35/24, 15/4, 19/8, -3/8, 15/8, 
  0, 1/4, -39/8, -1/2, 1/8, 0, 1/6, 3, 25/8, 205/24, -29/8, 11/12, -5/6, 
  -107/24, -11/12, 3/4, 51/8, -1/4, 27/8, -43/12, -39/4, -55/8, 17/6, -27/4, 
  27/4, 0, 0, 0, 0, 0, 0, 39/4, -27/4, 0, 0, 0, 0, 0, 12, 0, 0, 0, -1, 0, 0, 
  0, 7/2, -3/2, 0, -15/4, 5/4, -9/2, 9/2, 1, -1, -3, 2, 0, -11/4, 3, -5/2, 
  -3/2, -11/6, 0, -11/6, 0, 0, 4, 0, 0, 25/12, 0, -25/12, 0, -25/6, -136/3, 
  -34/3, 6, 1/2, -1/2, -6, -1/3, 0, -2, 5/3, -7, 3/2, 1, -2/3, -1, 3, 1, 0, 
  0, -34/3, 6, 104/3, 4, -16/3, 7/2, 3/2, 65/6, 1/2, 0, 6, -26/3, -6, -5/2, 
  -3, 3/2, 3, -7/2, -4, 0, 0, 4, 0, 0, -2, -24, 3, -1, -6, 12, 0, 0, 0, 0, 3, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 12, 3, -1, 9/2, -33/2, -9/2, -3, 9/2, -1, 
  0, -8, 0, 8, -2, -3, 12, 76/3, -3, 6, 0, 0, 0, 0, 0, 0, 1, 36, 1, 89, 53, 
  4, 5, 1, -1, -42, -59, -9/2, 6, 0, -5/8, 1, 35/8, -2, -3, 0, -39/4, 0, 
  39/4, -3/4, 45/8, 13, 5/4, 3/4, 7/4, -9/4, -3/2, 0, 5/2, 0, -5/2, 0, 7/2, 
  45/8, 39/4, 5/4, 1/2, 3/4, 1/4, -3/2, 7/2, 3, 2, 7/2, -8/3, -3, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 11/24, -11/12, 0, 0, 0, 0, 0, 0, -1, -9/2, 
  -11/24, 11/4, -11/12, -13/2, 61/12, 19/4, -11/12, -1/4, -1/4, 55/24, 0, 
  1/4, 0, 0, -35/24, 5/4, 11/6, 7/12, -11/12, -3/8, -25/4, 19/4, 11/2, 0, -1, 
  1/2, -3/4, 11/6, -2/3, -11/12, -11/12, -61/12, -49/4, 13/2, 25/4, -11/2, 
  37/12, 39/8, 0, -77/48, 0, -37/12, -261/8, 31/6, 81/4, -9/16, -9/16, 0, 0, 
  -173/48, 0, 25/6, 0, -19/4, 27/4, 31/24, 47/8, 1/2, -51/16, -3, 0, -1/2, 
  19/2, 5/4, 0, 51/16, 91/16, -1/2, -143/16, -43/16, 0, 0, 1/3, -15/2, -5/2, 
  1/2, 10/3, 0, 3/2, -1/2, -1/3, -2, 1/3, 1/2, 41/12, 7/2, -8, -16/3, 29/6, 
  0, 1, -1/3, -81/16, 4, 2, -4, -4, 0, -65/2, -6, 26/3, 1, 23/2, -1/3, 
  -73/16, -25/16, -28/3, 17/16, -4, 11/2, 0, -5/2, 0, -1/2, -17/4, 0, 31/6, 
  5/2, -31/6, -16/3, -62/3, 0, -27/4, -19/2, -51/4, 9/8, 65/4, 25, 2, 
  -179/12, -4, 57/4, 3/2, -52/3, -33/4, 23/6, -1/2, -9/8, -59/12, 7/4, -27/4, 
  35/4, -3/4, -61/3, -21/4, 0, -17/6, 16/3, 0, 25/12, 0, 5/6, -73/12, 5/3, 
  19/4, -37/6, -40/3, -37/12, 43/4, -1, 0, 43/6, 11/2, 7/6, 1/9, 1/6, 37/4, 
  -2/9, 4, -85/12, 1, -7/6, -37/4, -7/3, 37/4, -5/18, 235/36, -2/9, -5/6, 
  -25/12, -161/36, -7/3, 0, 3/2, 11/8, 0, 1, -23/2, 0, 1/3, -5/6, -581/240, 
  -29/12, 0, -39/8, 5/6, 39/8, -5/6, 479/80, 1277/240, -1751/240, -619/80, 
  17/4, -4, -4, 1/2, 0, 0, 0, 239/80, -3/2, -349/80, 0, 17/2, -9/2, -689/80, 
  61/4, -6, 9, -79/6, 9/2, -3/2, 0, -2, -3/2, 6, 3, 0, 17/3, 8/3, 10/3, 
  -23/3, -1, 3/2, -5/2, 9/4, -6, -3/4, 9/2, 3/2, -9/2, 9/4, 5/4, 35/4, 63/4, 
  41/4, 9/2, 5/4, -2, -3/4, 7/4, -9/8, -17/6, 23/4, -15/2, -239/8, 39/8, 
  -19/4, -287/16, 0, 923/48, 149/8, -139/12, -157/12, 44/3, -143/16, -63/4, 
  -2, 831/32, 3439/96, 393/32, 31/16, -23/24, -893/96, -65/12, 1/2, -131/8, 
  -2, 655/32, 3667/96, 183/32, 251/16, -23/24, -3029/96, -65/12, -6, -9/8, 6, 
  -11/12, -127/16, 0, 0, 0, 6, -6, 0, 2/3, -5/3, 3, -4/3, 0, 6, 0, 0, 
  -191/40, 3, 181/40, 0, -6, 0, 0, 0, 3/2, 6, -3/2, 3/2, 11/12, -5/3, -11/9, 
  -5/4, -11/6, -11/12, 0, -17/4, -39/4, -11/12, 43/12, 11/12, 11/4, 27/4, 
  -11/4, 0, 1/3, 33/4, -6, 0, 163/12, -63/4, 0, -44/3, 3/4, 1/4, -1/3, 1, 
  -5/3, 169/12, 245/12, 13/12, 5/4, 49/6, -11/6, -1/3, -17/4, 39/2, -35/3, 
  35/4, -5/2, 0, -19, -341/12, -11/3, -4, -18, 0, 8, 9/2, 0, -3/2, -5, -1/4, 
  11/2, 5, -1/8, -4, 3/8, -11/24, 41/24, 5, 49/24, -35/24, 181/24, 11/24, 
  -319/24, -59/24, 11/8, 19/4, -5, -19/4, 29/8, -55/12, -27/4, 49/12, 77/24, 
  4, -4, -11/2, 0, 193/24, 83/12, -683/32, -2723/96, -17/3, -231/32, 5/8, 
  15/8, -43/24, -161/72, 457/32, 137/72, 9/4, 7/3, 17/36, 69/4, 79/8, -2/3, 
  -73/12, 49/36, -71/4, 1, 0, -6, 0, 6, 0, 0, 33/20, 2, -19/24, -241/40, 
  11/12, 19/24, -73/24, 21/16, 7/8, 0, 6, 0, -9/2, 0, 0, 3/4, 3, 0, -3/2, -3, 
  1/2, 3/4, -1/2, 0, -19/12, -3, -11/12, 5/6, 11/12, -3/4, -39/4, 1, 39/4, 
  -1/4, 43/12, 39/4, -17/6, 27/4, -27/4, -27/4, 0, 1, 0, 0, 1, -3/2, 11/12, 
  9, 11/12, -5/3, 17/6, -37/6, -1, 0, -13/4, 1/4, -11/12, 59/12, -7/12, 11/4, 
  0, -7/2, -2, 0, 0, 11/2, 8, -1/2, -1, -13/2, 5/4, 13/4, -3/4, -11/12, 
  -13/12, -25/3, 3/4, -2, -19/12, 11/12, -3/2, 25/6, 11/6, 11/4, -41/4, 
  -151/4, -35/4, 4, 6, -29/6, 353/12, 71/6, -7/3, 13/4, 31, 0, -49/4, -9/2, 
  0, -7/4, -2, 0, -35/48, 19/4, 1/2, 11/8, -3/4, 1/4, 13/12, 11/12, 11/4, 
  17/12, 9/8, 11/24, 11/24, 49/16, -47/8, -1/6, -61/8, 3, -11/12, -21/4, 
  -71/24, -11/24, 9/8, 31/4, -19/4, 25/24, 0, 0, 127/24, -23/4, 159/32, 
  -159/32, 147/32, 41/12, 92/3, 3209/96, -95/24, 0, 237/40, 6, 1/12, -67/40, 
  13/24, 11/24, -29/12, 1301/240, 3/4, 0, 9/16, 3, 0, -139/32, -179/32, 1/2, 
  15/8, -1/8, -11/24, -5/6, 5/4, 251/32, -175/24, -11/12, -49/12, 0, -11/16, 
  -39/4, 257/32, 89/8, -3/2, 11/24, 127/48, -1741/96, -11/24, 1/8, 105/4, 
  -105/32, -103/24, -27/2, 0, 2, -1/2, -3/8, 1/4, 17/8, 3/4, -11/12, -79/24, 
  -3/4, -65/24, -41/24, 11/12, 31/24, 11/4, 0, 11/4, -17/4, -19/4, -67/12, 
  -1, -31/6, 53/12, 26/3, 29/12, -5/12, -2, -3/4, -5/6, -3/4, 0, -181/24, 
  -17/4, 155/32, 1475/96, 171/32, -17/2, 49/8, 45/8, 397/96, 7/3, 17/2, 
  -161/24, -7/3, 6, 175/16, 37/8, -67/24, -455/48, 1/2, -39/2, -61/4, 347/48, 
  18, 0, -5/4, -9, -4/3, -19/4, 13/12, 0, -101/40, 67/8, 13/24, 1363/120, 
  -5/8, -17/12, 7/2, -53/48, 1/8, 0, 295/72, 33/2, 11/6, -13/18, -3/2, 
  -143/36, -15/2, 6, 0, -31/12, -101/24, -3, 3/2, 29/4, 49/8, -2, -109/24, 
  1/4, 0, 53/12, 5/12, 133/24, -37/12, 35/8, 91/24, 41/8, -55/8, -139/24, 
  -127/24, 25/12, 39/4, 83/12, -79/8, -3/8, 341/24, 77/8, 331/24, -43/4, 
  -23/4, -9/2, 18, -2, -9/4, 0, 1/2, -3/4, 11/12, 1/3, 0, 0, 3/4, 3, -3/4, 
  -5/3, -1/3, 0, -157/24, -59/36, 707/32, 889/32, 7/18, 147/32, -37/24, 19/6, 
  32/27, -521/32, 23/54, 37/24, -25/6, -22/27, -8, -103/9, -19/4, 119/36, 
  281/72, 137/54, 95/4, 41/2, -76/9, -16, 0, 31/20, -13/12, -31/20, 13/12, 0, 
  65/48, 1/6, 13/24, 173/48, -37/24, -1/3, -7/6, -103/30, -7/8, 0, -49/5, 9, 
  -7/2, 127/16, 3, -197/48, -37/60, 89/48, 121/48, 51/4, -11/8, -10, -229/24, 
  -11/4, 0, -2, -4, 1/2, 7/4, 11/2, -1, -7/2, 1/2, -1/2, 17/4, 4, 125/24, 
  19/24, 13/12, 10/3, 5/4, -5/3, -17/6, -1, 23/2, 33/4, 17/2, -6, -65/12, 
  -53/4, -83/8, 59/12, -3, -16, 23/4, 0, 211/48, 65/8, -123/32, -827/96, 
  -75/8, 587/32, 77/3, 195/16, -113/24, -37/6, 449/96, 181/24, -61/8, 23/4, 
  -45/4, 215/32, 397/32, -6, -743/32, -597/32, 61/4, -311/32, -5/24, -67/32, 
  47/12, -207/32, 39/2, -437/32, 373/48, -27/2, 0, -1, 0, 1, 0, 0, 23/5, 6, 
  -1/24, -109/40, -11/24, 14/3, -14/3, -1537/240, -29/6, 0, 5/2, 6, 0, 3, 1, 
  -3/2, -39/2, 1/2, 27/2, 3, -31/4, -77/12, 0, -47, 15/4, 85, -17/2, 0, 0, 
  -267/4, 61, -103/4, -285/4, 3/2, 0, 109/2, -29/4, -1, -1/2, -1/2, -4, 
  263/8, 2/3, -243/8, 0, 0, -245/2, 0, 245/2, -18, -99/2, 169/3, 27/2, 
  -389/20, 0, 871/12, -1/2, -5/4, 0, 209/20, 0, -2147/20, 163/5, -8397/40, 
  -329/40, 8397/40, 2243/10, 1123/24, 0, -209/40, 0, 9381/40, -387/8, 1/2, 0, 
  -2, 0, 0, 0, 22/3, 0, -1/2, 4, -2/3, -5/2, 27, -51/2, 153/8, 7/2, -2/3, 0, 
  -7/2, 0, 8, -8, 0, 4, 0, 0, -2, 0, 9, 2623/48, -7627/48, -415/16, -3/2, 0, 
  2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1141/48, -1385/48, -2287/16, -1913/48, 
  853/48, -11/12, -25/3, -25/4, 0, -25/4, 941/24, 569/12, -19, -775/8, 97/24, 
  -16, 536/3, -25/12, 125/12, 4, -13, 116/3, -11, 0, 0, 0, 0, 0, 0, -7/2, 0, 
  0, -3/2, -7/2, 0, 0, 3/2, -12, -43/3, 1, -11/2, -6, -92/3, -8, 728/3, 
  -1915/12, 74, -2543/16, 364/3, -1915/24, 37, -2543/16, 625/3, 3293/12, 
  -1843/48, -725/4, -646/3, 2443/48, 3245/12, -835/48, -1559/12, -17989/48, 
  0, 0, 0, 6357/16, 4197/8, 1953/8, 6471/16, 5853/16, 2247/16, 2041/8, 
  8267/16, 159/20, -2883/40, 573/10, 0, -2271/20, 27, 1623/10, 492/5, -11/12, 
  -7/8, 99/2, -13/8, 11/2, -75/8, 55/12, 17/4, 245/12, -11/12, -21/2, -205/4, 
  11, 185/12, -33/4, 0, -127/24, 7/4, -41/12, -25/6, 95/24, 0, -1/6, -19/12, 
  11/12, -1331/120, -3/2, -237/20, 77/20, 29/6, -12, -5/18, -39/4, 0, 127/48, 
  0, 5/18, -19/2, 20/3, 45/4, -83/8, 203/12, -69/4, 73/4, -11/2, -67/4, 
  -1099/24, -177/8, -65/4, 137/3, -115/8, 17, 20, -1/8, -35/6, -1, -55/3, 
  -5/2, -453/16, -2771/48, 1297/16, -7/4, 37/6, -251/16, 17/6, 275/48, 241/8, 
  -1111/16, 263/16, -93/8, 0, -62, -469/4, 0, 65/6, 1/2, -3/4, 58, -93/4, 
  -23/6, 62, 2023/12, 28/3, -73, -154/3, 3/4, -21/4, -24, -17/4, 105/4, 
  -97/12, -3, 91/4, 205/6, 0, 17, 595/12, 0, -27/8, -539/12, -209/8, 539/12, 
  59/2, 601/72, 7/2, 1247/72, -1/9, 313/8, -157/3, -1595/24, -911/72, 487/12, 
  0, 311/5, -6, 1/6, -311/5, -1/6, -443/40, -908/15, 28703/240, 193/40, 
  -117/2, 51/4, 563/16, 1405/24, -31/8, 21/4, 5/4, -99/8, 7/4, 21/8, -101/8, 
  -5/4, 317/24, 35/8, 13, -13, -12, 0, 7/8, -13/4, -1/12, -191/16, 0, 6, 0, 
  -12, 0, -6, 0, -11/24, -19/24, 3/2, 11/18, 31/12, 29/12, -14/9, 31/2, -4/3, 
  -23/12, 0, -65/6, 59/2, -41/6, -865/6, 61/12, -1595/144, 1313/48, -3197/48, 
  -95/16, 0, 11/12, -1/24, 53/24, -62/15, -17/12, -27/4, -833/72, 99/4, 
  -109/16, -1999/72, -7/8, 65/4, -751/48, 8599/144, -179/12, -1597/72, 
  -743/24, 1295/48, -713/72, 115/12, -25/12, 193/24, -33/4, 4/3, -28/3, 
  -11/3, 95/24, -11, -53/12, 10, 0, 43/12, -59/2, 11/2, 217/3, -19/12, 
  247/16, 649/16, 2521/48, -101/16, 0, -17/6, 43/12, -17/12, 567/40, 5/2, 
  357/20, -287/20, -28/3, 21/2, -5/2, -199/48, 165/16, 6, -97/12, -1/6, 
  145/48, 279/8, -383/16, -625/16, 0, -127/12, 38/3, -41/6, -782/9, 95/12, 
  -1051/144, 703/48, -3245/48, -183/16, 0, -3619/240, -21/4, -7/4, 1619/80, 
  25/8, -11/3, 379/30, 413/48, 71/12, 5957/240, 87/4, -309/16, -1283/60, 31, 
  -11/12, 1325/96, 159/32, 1289/96, 1357/32, -29/2, -173/24, -2591/96, 
  -2705/96, 151/12, -611/12, -1963/96, 1499/32, 114, 335/24, 0, -241/8, 
  -131/4, -95/32, -889/32, -307/32, 215/12, 82/3, 10121/96, -565/24, 81/8, 
  45/8, 119/24, -1151/48, 1/6, 0, -1/2, -5/4, -7/12, -581/48, -5/6, -237/20, 
  379/80, 29/6, -12, -7/6, 139/8, 19/18, -139/8, 1/9, -1/6, 0, 421/24, 0, 1, 
  13/3, -3/4, -115/12, -175/24, -7/6, -1, -59/8, 37/24, 5/2, 9/2, 0, 31/8, 
  -46/3, -113/12, -121/24, 5/2, -19/4, 0, 5/2, 11/3, 0, 95/6, 106/3, 85/4, 
  73/3, -27/4, 151/8, -58/3, -1193/24, -397/24, -395/32, 4351/96, 20, 685/24, 
  197/8, -2761/24, 1373/96, 209/24, 2417/24, 139/12, -7331/48, -157/96, 
  557/4, 4927/96, -283/32, 0, 27/8, 841/12, 4/3, 881/60, -10/3, -323/30, 
  -10627/120, -463/30, 579/40, 9/8, -513/4, -175/24, 255/4, 188/3, 3/4, 
  213/40, 2, -17/4, -223/40, 9/4, -539/80, -157/120, 1789/120, 253/30, 0, 
  -763/30, -9/2, -437/48, 1383/80, -469/48, -53/4, -391/6, -6629/80, 167/12, 
  151/16, 931/48, -73/8, -31/4, -309/8, 77/16, -371/24, 13/4, 54, 3/4, 
  2141/32, -2221/48, -11/2, 629/4, 38497/96, 8641/32, -2527/288, 307/24, 
  46891/288, -110/9, 8191/48, 1309/24, 11/6, -11693/72, 475/48, 0, -261/20, 
  42, 11/3, -633/20, 5/6, 4733/120, -2803/120, -1049/30, -999/40, 347/5, -23, 
  -143/8, -1739/60, -203/4, 1/2, 1423/20, 7/3, -3523/96, -48557/480, 1285/96, 
  -827/45, 16613/120, 74333/288, 3761/360, -655/96, 1/32, -4241/32, 227/32, 
  1951/40, 667/8, -3333/40, -405/8, -881/8, -5905/96, -595/96, 8011/96, 
  1485/32, -417/8, -1159/8, 2857/40, 1735/24, -155/4, 99/4, 105/2, 415/6, 
  -7/4, -17/8, 45/4, -2219/16, 951/8, 889/16, -371/16, -13889/24, 12635/48, 
  16, 3915/16, -13711/48, 13423/48, 8707/32, -4107/40, -165/8, 8003/80, 
  481/8, 30047/480, -1067/48, -54757/480, -11947/96, -3303/32, 39137/96, 
  2711/96, 8855/32, -22969/96, -711/40, 54593/160, -717/80, 13/4, -57473/160, 
  -263/6, -179/2, 1569/20, 2603/40, 88, 263/40, -303/8, -453/40, 2953/24, 
  1283/8, -245/24, -157/6, -2195/24, -4817/24, 27/2, 24521/96, 9101/12, 
  8191/32, 8957/96, -2781/16, 1123/16, 3679/80, -3159/20, 8731/80, -475/4, 
  1707/8, -53675/96, -8375/24, -33977/96, -4327/96, -807/10, -25207/120, 
  2943/80, 10501/60, 179/8, -4723/96, -80507/96, -4103/60, 117757/160, 
  245743/240, -3/2, 3/4, 3/4, -3/2, 0, 0, 0, 0, 0, -3/4, 3/4, -3/4, 0, 3/4, 
  3/2, 1/4, -7/4, 0, 0, 1/4, -1/2, -1/4, 3/4, -1/4, 0, 1/2, 0, 0, -1/2, -1/2, 
  0, 1/2, 3/4, -1, 0, -1, 3/4, 1, 0, 0, -3/4, 1/2, 0, 0, 0, -1/4, -5/4, 0, 
  3/4, 0, -1/4, -1/8, 1/4, 0, 3/8, 1/4, 0, 3/8, -5/8, 0, 0, 0, 1/8, -1/2, 
  -1/8, 0, 0, 3/8, -1/4, 0, -3/4, -3/4, 3/4, -3/8, -1/3, 1/2, 13/12, -1/8, 
  15/8, 0, 3/8, -19/12, 0, 0, 0, 1/2, -1/4, 0, 0, 0, 3/8, 0, 1/2, -17/16, 
  1/8, -3/8, 3/16, 11/48, -5/24, 11/48, -5/8, -5/12, -11/48, -11/48, 0, 
  -17/16, 0, -13/16, 13/16, -3/16, -11/48, 43/48, 59/48, 11/48, 11/16, 
  -11/16, 0, 3/4, -1/4, -3/4, -1/8, -1/2, 3/8, -11/24, -7/24, -5/12, -5/4, 
  5/6, 0, -1/24, 5/6, 11/24, 11/8, -3/4, 0, -5/4, 13/8, -3/8, -7/6, 43/24, 
  17/24, -11/24, 11/8, -11/8, 0, 3/4, 0, -3/4, 1/2, -5/8, -5/12, 0, -5/12, 0, 
  -1/24, 7/6, 11/24, 0, -3/4, 0, 1/4, -1/8, 43/24, 31/24, -19/24, -11/8, 3/8, 
  0, -3/8, 1/4, 0, -5/24, 0, -7/12, 0, 1/8, -1/2, 3/16, -11/48, 11/48, -1/6, 
  11/48, -3/8, 0, 1/8, 43/48, -1/6, 11/16, -3/16, -5/48, 3/2, -3/4, -3/4, 
  3/2, 0, 0, -3/4, 3/4, 3/2, -3/2, 0, 0, 0, -3/4, -3/4, 3/2, 0, 0, 3/4, -3/4, 
  -3/4, -1/2, 0, 0, 5/4, 0, -3/4, -3/4, -3/4, -9/4, 0, 0, 0, 0, 0, 0, -3/2, 
  0, 3/4, -3/4, 3/4, 0, -3/4, 0, 0, 0, 0, 45/8, 3/4, -1, -7/2, 19/8, 19/8, 
  -19/8, 0, 0, 0, -3/4, 0, 3/4, 0, 3/4, 0, -3/2, 3/4, 0, 3/2, -7/2, -1/2, 
  3/4, 5, -3/4, 0, -3/4, -5, 3/4, -3/2, 7/2, 1/2, 0, 3/4, -3/4, 3/4, 0, -3/4, 
  9/2, 3/4, -3/4, -3/4, 11/2, 0, 0, 3/4, -5, 1/4, -3/4, 3/4, 0, -3/4, 0, 0, 
  3/4, -7/4, -1/2, -5/4, 1/4, 5/2, -1/4, 3/2, 1, -1/4, 0, 1/4, 0, -1/4, 0, 
  -9/4, -3/2, 3/4, 3/4, 0, 0, 0, 9/4, -2, 1/4, 1/4, 1/4, -1/4, 3/4, 3/2, 
  -1/2, 69/8, 3/4, -4, -5, 19/8, 19/8, -19/8, -1/2, 4, -5/8, 0, -19/8, 1, 4, 
  -5/8, 0, -19/8, -3/4, -5, 3/4, 0, 3/4, 5, -3/4, 0, 0, 2, 1/2, 0, 0, -2, 
  -1/2, -3/4, -7/2, 1/4, 0, -3/4, 3/4, 3/4, 0, -3/2, -1/2, 0, 0, -9/4, 9/4, 
  1/4, 5/2, 3, 1/4, -15/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, -9/4, -3/2, 1/2, 
  0, 0, -3/2, -1/12, -1/24, 1/24, -1/6, -3/4, 7/24, -1/2, -1/3, -1/6, 0, 1/6, 
  0, -3/4, 1/2, 0, -1/2, 0, 0, 3/4, 1/2, 0, -3/4, 13/4, -13/8, -1, -27/4, 
  -3/4, 1, 7/2, 1/4, 3/2, 13/4, -1/2, -3, 3, -5, -27/4, 3/4, 17/4, 1/2, 0, 
  1/2, 0, 0, 0, -3, 0, -1/2, -1/2, 1/4, 1/2, -9/8, -15/2, 3/4, 1, -1, -1, 0, 
  0, 0, -9/4, 0, -3/4, 0, -11/4, 0, -1/2, -1/2, 1, -1/2, 0, -3/8, -5/8, 0, 
  5/8, 0, 3/4, 5/8, 0, -7/4, 7/8, -1/4, 3/2, 5/4, 0, -3/8, 0, 0, 3/4, -3/8, 
  0, 0, 11/8, -9/8, -3/4, 0, -7/4, 7/4, -7/4, -1/2, -9/8, -1/8, 15/8, -1/8, 
  1/8, -3, -5/4, 0, 0, 0, 1/2, 5/8, -7/8, -9/8, 0, 0, 0, 0, -1/2, 1/4, 0, 0, 
  0, 13/8, -3/4, -7/8, 3/4, 0, -25/8, -17/4, -1, 3/2, 5/4, 0, 0, 1/2, 0, 0, 
  0, -1/2, 0, -1/6, 1/6, 1/12, -1/12, 5/12, -1/2, -1/3, 0, 0, 0, 1/12, 5/12, 
  -1/3, 0, 3/4, -9/8, 165/16, 0, 1/3, -1/3, 0, 0, -1/3, -9/4, -1/12, -1/2, 
  5/6, 0, 0, 0, -1/2, 0, 0, 0, 3/4, 5/4, 0, -5/4, -3/4, 7/2, -1/4, -17/8, 
  -5/4, 1/2, 3/4, -25/4, -3/4, 1/2, 11/4, 1/2, -3/2, -3/2, 5/2, 0, 7/4, 3, 
  -11/8, 13/4, 4/3, 15/8, -1/4, 7/4, 7/2, 1/2, 1/4, -7/2, 3/2, -11/2, -7, 
  -3/2, 15/2, 4, 0, 27/8, 3/2, 3, 1/2, -11/8, 7/2, -1/2, -4/3, -27/8, -1/2, 
  3/4, 3/4, 0, 3/4, 1, 9/4, 1/2, 0, 0, -3, 0, -29/8, -31/4, -5/4, 6, 3/2, 
  7/2, 15/4, -15/4, -5/2, 15/8, -8, -15/4, 43/4, 2, -3/4, -3/4, 3/4, -11/4, 
  0, 15/4, 3/2, 5/2, -7/2, -15/4, -6, -37/4, -25/4, 12, -5/2, 4, 39/4, -7/4, 
  -7/2, -3, 7/2, 9/4, -1/2, 7, 2, -3, -1, -1/4, 3/4, -9/4, 3/4, 1/2, -17/4, 
  -3/2, -5/2, 13/4, 17/4, 6, 37/4, 23/4, -11, 15/4, 3/4, -19/4, -4, 5/4, 
  -1/2, 0, 2, 0, -1/2, -1, 0, -1/2, 1, 1/4, -1/4, 1/8, 0, -1/2, 3/4, 2, -9/8, 
  -3/4, -5/8, 9/8, 5/8, 0, 3/8, 5/8, 0, -1, -25/4, -5/2, 5/2, 2, 0, -3/4, 
  5/8, 0, -5/8, 0, 3/8, -3/8, 0, 0, 3/8, -7/8, -3/8, -3/8, 0, 1/4, 43/8, 7/2, 
  -1/4, 3/8, 0, 1/2, 3/4, -3/8, 0, 1/2, -1/8, -13/8, -7/4, 2, 0, -3/2, -3/4, 
  3/8, 3/2, -3/8, 0, 3/2, 1/4, 0, -5/4, 9/4, -3/8, 13/4, 5/4, 0, 0, 41/8, 
  -71/8, -61/12, 4, -35/4, 41/8, -29/8, -61/12, -5/4, -13/8, 1/8, -3, -3/4, 
  91/24, 29/12, -13/8, 1/4, 9/8, -3/4, 91/24, 11/8, -1/8, 19/8, 25/4, 25/24, 
  -25/4, 7/8, -1/2, -11/8, -25/8, 1, 0, 0, 1/4, 3, 1/4, -5/4, 0, 0, 0, 9/8, 
  1/8, 9/8, 1/8, 1/8, -1/4, -1/8, -5/8, -5/8, 1/8, 1/8, 13/8, 5/8, -1/8, -1, 
  1/8, 3/8, 13/8, 5/8, -13/4, 0, 0, -3/4, 1/4, 1/4, -1/2, 0, -3/2, -1/2, 7/4, 
  3/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 53/12, 0, -9/8, -17/4, -2, -1, 0, 
  41/12, 7/4, 0, 0, 0, -3/4, 3/4, -5/8, -11/48, 5/12, 0, 31/48, 11/24, 11/48, 
  0, 23/16, 0, 31/48, -1/4, 11/48, -43/24, -4/3, -11/48, -11/16, -1/4, 11/16, 
  5/12, 0, -3/2, 0, 9/4, -5/12, -3/4, -85/12, -1, 3/2, 115/16, -2, 283/48, 
  -3/8, 7/12, 1/12, -1, -1/24, -347/48, -305/96, 1/24, -1/2, 0, -5/6, -1, 
  5/4, 3/4, -1, 11/24, 283/48, -5/6, 0, 0, -5/48, -1/24, -3/8, -91/32, 0, 
  -11/8, 3/4, 0, 1/4, 15/8, 0, 0, 11/8, -3/4, -1/4, 1, -11/12, -5/8, 7/8, 
  -3/8, 13/4, -49/12, 323/48, 15/16, -13/2, 41/48, -1/2, 21/8, 89/24, -1, 
  -52/3, 1/8, 55/8, 7/4, -5/8, 143/48, 0, -1/2, -1/4, 0, -9/4, 1/2, -1/4, 
  13/8, -3/8, -11/48, -13/4, -11/24, 137/16, 3/16, 17/6, 11/48, 0, -57/16, 
  -17/8, -25/48, 1/4, 3/8, 11/48, 7/2, 15/8, -83/48, 65/16, 5/8, -49/16, 0, 
  -1/4, 0, -1, -1/24, 23/12, 3/8, 1/8, -3, -35/8, 29/8, 15/4, -1/8, 59/8, 
  -73/24, 1/2, 0, -33/8, -19/4, -19/48, -41/24, 11/8, 11/48, 491/24, -1/2, 
  -413/48, 31/16, 5/4, -17/3, 0, -3/4, 0, -5/4, 17/12, 1/8, 0, 7/24, -35/8, 
  7/4, 17/4, -1/8, -23/24, 59/8, -73/24, 1/2, 0, 1/2, -19/4, -1/4, 7/6, 3/8, 
  -33/8, 73/4, -17/4, -125/16, -7/8, 5/4, -3/8, -73/12, -5/8, 7/4, -9/8, 
  -5/16, 27/8, 5, -91/8, -13/4, -65/4, -1/4, 11/4, -17/16, -41/8, -9/8, 
  23/16, -5/2, -47/8, 7/4, -91/8, -41/8, 15/2, -11/2, -27/2, -5, 1, -13/8, 
  -1/4, 1/4, 13/16, -27/16, 23/4, -47/8, -7/4, -103/8, 29/8, 5/2, -11/2, 
  15/4, -5, -1/2, -3/8, -29/16, -29/3, -53/6, 12, 11/8, -1/8, 43/3, 1/2, 0, 
  -1/4, -1/8, 3/8, -11/24, 1/4, 23/24, 11/24, 11/24, -23/24, 23/24, -3/8, 
  31/12, -9/4, -11/8, 1/2, -1/2, 1, -3/16, 0, 0, 17/32, 13/16, -1/4, -3/32, 
  -3/8, -37/96, 1/3, -11/24, -97/96, -11/24, -1/6, -7/24, 7/32, 19/12, 87/16, 
  3/8, 73/48, -11/12, -5/8, -93/32, 1/2, -1/8, 0, 3/16, -9/32, -3/16, 9/32, 
  -7/96, 0, 43/96, 1/8, 1/6, 0, -31/24, 31/16, 51/32, 49/24, 65/16, 65/24, 
  5/16, -31/24, -7/6, -1, -93/32, 0, 7/4, 0, 3/16, -9/32, -3/16, 9/32, -7/96, 
  0, 43/96, 1/8, 1/6, 0, 0, 1/2, 51/32, -9/8, 23/16, 7/6, 9/16, -7/4, -31/24, 
  25/24, -49/32, 59/24, 1/4, -27/4, 49/24, -2, 83/8, -49/24, -29/8, 1/4, 0, 
  3/4, 1/4, 143/8, 27/8, -85/24, -119/16, -299/48, 47/12, 17/16, -55/16, 
  -245/16, 41/16, 39/4, -1/8, 33/8, 1/4, -1/8, 25/2, 3/8, -13/6, -119/16, 
  -97/24, 47/12, -103/16, -71/16, -21/2, 3/8, 127/16, 1/8, 5/8, 3/2, 0, -3/8, 
  1/8, 3/4, -3, -15/8, 13/8, 59/24, -49/24, -17/8, -23/16, -3/4, 21/4, 5/16, 
  -9/4, 0, 0, 0, 9/4, 0, -3/2, 0, 0, 0, -9/4, 3/4, 0, -3/2, 1/2, 3/4, -1/2, 
  0, -7/6, -7/6, 7/6, 2/3, -11/24, 5/12, 13/8, 11/24, -3/4, 0, 1, 0, -1/4, 
  61/24, 0, -49/24, -43/24, -3/4, 0, -15/16, 3/4, 25/32, 17/16, -25/32, 0, 
  5/12, 7/96, 7/3, 27/32, 11/24, 7/24, 1/2, 0, -43/24, 1/4, 0, 0, 0, 0, 3/16, 
  -9/32, 3/16, 9/32, 17/12, 0, -79/96, -3/4, -101/96, -23/12, 1/6, -5/4, 
  -5/4, 7/4, -9/8, -1/4, 73/24, 5/4, -17/12, -37/24, 3/8, 3/4, -3/8, 0, 0, 0, 
  -3/4, 0, 3/4, -1/2, 3/4, 2/3, -3/4, -5/12, 3/4, 0, -1/4, -5/12, -3/4, 0, 
  3/2, -1/2, -3/4, 1/2, 0, 5/12, 0, -7/24, -17/12, 5/4, 3/8, -1/2, 11/24, 
  11/24, 281/48, 11/24, 11/24, 3/4, 0, 0, -1, 0, 1/4, -43/24, -11/48, 11/6, 
  19/24, -349/96, -13/8, 0, -3/16, 0, 25/32, 5/16, -17/32, 7/96, 0, -31/96, 
  -1/6, -3/8, 0, -1/8, -3/16, 0, 5/24, -11/48, -11/48, 11/48, 3/8, 0, 1/6, 
  3/16, -43/48, 5/48, 0, 0, 0, -5/4, 1/12, 0, 1/4, -7/8, 1/8, -11/24, -79/24, 
  0, 15/8, 0, -1/4, 11/6, -3/8, 23/24, -11/24, 0, -11/24, 0, 11/8, -13/8, 
  1/4, -113/48, -19/16, 1/4, 7/4, -3/16, 11/24, 111/16, 5/24, 9/16, -1/12, 
  -3/2, 0, 85/48, 25/16, -11/24, -11/8, 27/16, 0, 7/16, -45/16, 3/16, 15/16, 
  -43/48, 121/48, 11/16, -11/16, 11/16, 7/8, -13/16, 17/16, 13/16, -1/4, 
  -31/8, -15/16, 5/4, -1/4, 7/8, 7/8, -313/96, -27/4, -13/16, -323/96, 23/32, 
  -13/8, 9/4, -17/6, -37/8, -53/8, -3/8, -1/4, -9/8, -9/16, -13/16, 5/4, 
  -39/32, -3/8, -3/16, -13/6, -19/48, 3/8, -511/48, -43/12, 221/96, 103/6, 
  -253/48, 53/6, -511/24, -7/16, 9/8, 0, 23/24, -17/8, 3/16, 323/48, -47/16, 
  -101/48, -473/24, -9/8, 2, 0, 0, 0, -1/8, 1, 0, -5/16, -1, 7/16, -11/48, 
  1/6, 0, 0, -1/6, -1/8, 35/48, -3/16, -11/48, 1/6, -11/48, -11/48, 1/16, 0, 
  23/48, 1, 1/8, -5/16, 3/16, 0, 13/24, -5/24, 7/48, 35/24, 17/16, -11/24, 
  3/16, 17/24, 11/24, 25/24, -15/16, 0, -13/16, 13/16, -3/16, -13/16, -23/48, 
  53/48, -23/48, 11/16, -11/16, 0, -3/8, 3/4, 1/8, 15/4, -1, 1/16, 31/8, 
  -3/16, 11/48, -89/48, 7/12, -47/48, 151/48, 11/48, -91/48, -3/4, -15/16, 
  -1/2, -5/2, 3/16, -21/16, 1, -61/12, 91/48, 3/4, 29/16, 0, -3/8, 0, 3/8, 
  -1/4, 0, 5/4, 5/24, -1/4, -2/3, -13/16, -11/48, 3/16, -23/16, -11/48, 0, 
  3/8, 0, 0, -1/8, -1/8, -55/48, 31/24, 19/24, -1/16, -3/8, 0, 3/4, -1/4, 
  -3/8, 1/4, 0, 5/24, 5/24, -5/24, 0, 7/24, -1/2, 11/48, 0, -1/48, 7/12, 
  11/48, -3/8, 0, 0, 1/4, 0, -1/2, 1/8, 0, 13/48, 73/48, -7/24, -19/48, 
  11/24, -5/12, -13/6, -11/24, 3/4, 0, -1/4, -61/24, 0, 19/16, 43/24, 1/4, 
  -1/4, -1/12, -1/6, 0, 0, 0, -1/6, -1/2, 1/2, 13/24, 0, 0, -7/12, -1/4, 
  -185/24, 185/24, 0, 0, -1/24, 0, 0, 1/3, 3/8, 2/3, -2/3, -5/8, -1/12, 0, 
  -1/24, 1/12, 0, 0, -1/3, 0, 0, -1/2, -7/2, -5, 5/4, 3/2, -7/2, -1/2, -2, 
  -3/4, -5/4, 1/4, 0, -1/4, 1/4, -7/4, -3/2, 5/4, 3, -1/4, -11/4, 1/4, -3/2, 
  0, 1, 5/4, -1/4, -3/2, 0, 0, -1/4, -39/8, 1/2, 27/8, 1, 3, 3/2, -3/4, -1/4, 
  0, 1/4, -9/4, 3/4, 9/4, -1/4, 0, 5/4, 1/4, -5/4, 3/4, -121/24, 121/24, 1, 
  11/4, 3/4, 3, -1/2, -17/4, -3/4, 1/4, 7/2, -1/4, 1/2, -3/4, -3/8, 0, -3, 
  -21/4, 11/2, 0, 0, 0, 9/2, 27/4, -9/4, -33/4, -3/4, 0, 27/8, -27/8, -27/8, 
  5/2, 5/4, -10, 0, -5/2, 13/4, -1/4, -5/2, -3/2, 55/8, -3/2, 5, -3/4, 5/2, 
  -1/2, -3/4, 0, -3/4, 0, 3/4, 1/2, 1, 1, 1/4, -3/2, -6, 47/24, -47/24, 0, 
  3/8, 3/4, 3/8, 1/2, 0, 3/8, 3/8, -9/2, -9, 119/12, -53/24, -7/8, 0, 27/8, 
  27/8, 1/4, -29/24, -1/4, 115/16, 3/8, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 
  1/4, 1/4, 1/4, -1/4, 0, 1/12, -1/4, 1/8, -1/4, 1/4, 29/24, -1/4, 0, -2/3, 
  -1/2, 1/4, -1/4, -5/24, -1/4, 1/4, 1/6, -1/4, 0, 1/4, 0, -1/4, -1/4, 1/4, 
  1/4, 1/4, -3/4, -3/2, 1/2, 3/4, 3/2, -1/2, -121/32, 2935/96, -25/16, 25/16, 
  -11/8, 17/48, 1/2, -1/2, 5/4, -7/12, 27/16, 329/32, 821/96, -55/48, 103/48, 
  2459/96, 563/96, 23/4, -23/4, -37/24, 3/2, 31/12, -181/24, 181/24, 1/4, 
  -13/12, 11/4, 3/4, -5/4, 17/4, 7/24, -11/4, 0, 1/8, 0, 5/4, -5/4, -3/8, 0, 
  -1/8, 0, 0, 0, 1/4, 1/4, 179/24, -103/32, -43/8, 3/4, -3/4, -3/4, 1/2, 7/2, 
  5, -5/4, 11/24, 2, 11/12, 2, 6, 0, 1, 0, 1, 0, -45/8, -3/4, 1, 7/2, -19/8, 
  -19/8, 19/8, 1/2, -4, 5/8, 0, 19/8, 1/2, 7/2, 5, -5/4, 0, -3/4, -5, 3/4, 0, 
  3/4, 5, -3/4, 0, 0, 2, 1/2, 11/8, -7/2, -3, -11/2, 1, -3, -5/4, 0, 11/12, 
  -2, -6, 11/6, 0, 9/4, -1/2, 0, -4, -1/4, -9/2, -7/2, -1/4, 21/4, 0, 0, 1/4, 
  5/4, 1/4, -1/4, -3/4, -13/24, 0, 19/24, 19/24, -37/24, 1/24, -1, 0, 19/6, 
  -3/4, 0, 3/2, 3/4, 6, 6, -6, 15/4, 4, -4, 7/4, -23/4, -217/24, 15/4, 37/6, 
  3/16, 3/4, 1/2, 1/2, 1, 3/8, 14/3, -19/4, -113/24, 0, 0, 0, 0, 0, -35/2, 
  173/6, 35/2, 0, -3, 43/3, 3, 269/12, 101/16, 0, 7/8, 80/3, -53/8, 67/48, 
  -7, 3/4, 1, 23/4, 151/16, -27/2, 439/32, -1183/96, 3/4, -3, -77/8, -13/2, 
  -97/24, 45/4, 11/8, -41/8, -19/8, 37/12, 11/8, 13/8, -1, 1/8, -25/6, 67/8, 
  -13/4, 265/48, 2/3, -25/12, -8/3, -1/48, -17/6, 161/48, -8/3, -229/48, 
  -1/48, 31/16, -19/8, 5/2, -5/2, -15/8, -29/8, 25/6, -55/12, -65/24, -7/2, 
  13/2, 3, -15/4, -27/4, 0, 0, 0, 0, 0, 3/8, 0, -1/2, -19/8, 19/8, -3/4, 
  19/8, -19/8, -19/8, -1/4, -5, -1/4, 5, 5/8, -8, 8, 8, 17/4, -6, 5/6, 
  -15/16, 0, 41/8, 301/12, -79/8, 7, 71/8, -3/4, 23/6, 33/16, 0, 13/2, 19/8, 
  313/12, -49/4, 19/2, 105/8, -17/8, -85/8, 2, -109/16, -109/16, -3, 95/16, 
  -41/8, 19/2, 11/4, 23/4, -25/2, -9/4, 11/4, 69/16, -1, -145/16, 19/16, 
  -21/4, -3/2, -21/8, 55/8, 5/4, -153/16, -1, -27/8, 51/16, 11/4, 19/4, 31/2, 
  2, -7/12, 71/24, 25/16, 9/8, 3/4, -3/8, 17/8, 5/2, 25/8, -49/16, -241/48, 
  5/24, 59/16, -17/16, -9/4, -3/2, 7/12, -1, 37/8, 27/4, 2, -59/8, 1, 19/4, 
  29/16, 0, 221/48, 4, 5, -6, -14, 5/2, -5/2, 67/32, 3, 61/32, -5/2, -5/2, 
  219/32, 3, 101/32, -2, -23/4, 7/4, 35/4, 93/16, 3/2, -11/4, 49/16, 5/4, -8, 
  9/4, -5/2, -25/4, 7/4, 33/8, 3/2, -7/4, -45/8, -5/2, -3/2, -13, 7/4, -1, 
  31/2, 3/4, 3/2, -3/4, 3/2, -75/16, 31/16, -63/8, 59/16, -5/4, 53/4, 2, 
  21/8, -21/2, 1/4, -1/2, -3/4, 9/4, 29/8, -17/4, -11/2, 3/4, 4, 9/4, 17/4, 
  11/2, 0, -33/4, -9/4, 3/4, 0, 51/8, 7/2, -1/4, 4, 11/2, -85/8, -59/4, -7/4, 
  -19/4, -11/2, -17/2, 13/2, 15/4, -1013/144, 3/4, -3/4, 0, 3/2, -79/24, 0, 
  1/4, -1/4, 0, 3/8, -1/4, 0, -1/4, 0, 1/4, 3, 9, -3, -9/8, 21/8, -9/2, -1/2, 
  3/4, -21/4, -39/4, -85/24, 0, 0, 161/48, 79/24, -155/48, -1013/144, 155/48, 
  0, 79/24, 47/24, -1013/144, -47/24, 0, 1/4, -5/4, -11/4, 1/4, -25/24, 2, 
  3/2, -9/4, 89/48, -227/48, 155/48, 3, -5/8, 5/8, 0, -5/8, -3/8, -9/4, 0, 
  -3/4, -9/8, 3/2, 0, 1/4, 3/4, -13/4, -1, 1/8, 1/4, 3/4, -5/8, 0, 5/8, -3/8, 
  21/4, -51/4, -3/2, -3/2, 3/2, 3/2, 0, 47/8, -91/24, 15/8, -33/8, -3, -1/2, 
  -1/24, -467/16, -3/2, 479/16, -4, -521/16, -1547/48, -4, 0, 1289/48, 15/16, 
  439/12, -71/16, -65/16, -95/24, 5/12, 605/48, 85/6, -95/24, -247/48, 
  605/48, 15/16, 12, 0, -3/4, -1/4, 1, 3/2, 0, -3/2, 1/2, -7/4, -3/4, -8, 
  3/4, -3/2, 3/2, 1385/48, 63/16, -57/4, 45/4, -71/16, -105/16, -29/24, 
  95/48, 169/16, -29/16, 0, 0, 0, -3/4, 23/12, -3/8, 0, -1/2, 0, 0, 0, -1/2, 
  -15/8, -9, 5/12, -1/3, -5/12, 1/3, 0, 605/48, 1/12, -193/16, -5/16, 3/8, 
  -17/24, -11/24, -2399/96, -441/16, 0, 149/12, 1/12, 0, 0, 1/32, 21/32, 
  79/32, 1/6, 11/8, 5, -9, -89/8, -1, -97/8, -83/8, -151/8, -707/16, 
  -2483/48, -2, 89/8, -93/8, 2, 765/16, 101/8, 47/16, -187/48, 25/24, 187/48, 
  -191/48, 269/32, 245/24, -905/96, 251/96, -689/96, 3/8, 379/96, 649/96, 
  3/4, -19/48, 199/48, 3581/96, 1/8, -515/32, -1/8, 1/8, 10/3, -77/16, -3/4, 
  77/16, -31/12, -737/48, 77/48, 51/4, 1507/96, -201/16, 3/8, 425/48, 209/96, 
  7/8, 0, -35/12, 1/2, 35/12, -1/2, -131/48, 13/6, -47/8, 1507/96, -35/48, 
  13/24, -13/8, -481/96, 1/24, 119/24, -455/24, 19/48, 13/48, -271/48, 
  163/12, -91/12, 11/48, 521/24, 7/8, -337/24, 11/3, -7/8, 161/24, -893/144, 
  0, -307/24, 785/144, 16/3, -811/48, 249/16, 1697/72, 149/12, -2395/96, 
  -1537/48, -7679/288, -1/2, -5/8, -91/18, 0, 13/8, 325/72, -1, -157/24, 
  249/16, 35/18, 149/12, -551/24, -2491/96, -481/16, -2327/288, 1, 0, 0, 5/8, 
  -5/2, -31/12, 0, 0, 25/48, 0, -1/2, 7/4, 59/24, -1/2, -165/16, 7/4, 31/12, 
  -4, -31/12, 9/4, -17/12, -27/16, 27/8, -53/16, -87/32, -1/12, 77/32, 95/16, 
  -647/96, 0, 0, -7/8, -9/8, 11/8, 1/8, 0, 0, 53/48, 0, 47/24, 89/8, -89/8, 
  -47/24, -233/48, -89/24, 95/48, 193/32, -49/6, 25/3, 67/24, 0, 0, 0, 
  -23/48, -89/24, -127/144, 649/96, 5/2, 11/24, 11/48, -15/8, 1/8, 11/48, -4, 
  -1/8, 0, 0, 0, 11/24, -11/24, 9/32, 103/96, 0, 0, -9/32, 1/2, 0, -3/2, 0, 
  3/2, 0, -5/4, -13/4, 5/3, -139/6, -12, -1/2, 21/8, 125/12, -7/8, 0, -3/2, 
  309/32, 35/48, 7/8, -7/4, -11/24, 469/16, 19/12, 11/24, 241/48, 285/32, 
  75/16, -7/2, -5/2, -11/12, -2, -11/24, 1, 2, 4, -11/24, 1, 45/16, 19/16, 
  65/16, -1/4, -11/24, 5/8, 17/24, 11/24, 151/48, -79/16, 87/16, -25/8, 2, 0, 
  1, 49/16, -1/4, -11/8, -23/8, -11/24, 23/24, 47/24, 11/24, 49/24, 21/8, 
  -5/4, -23/8, 21/16, 11/24, 913/72, -53/24, -913/72, 0, 0, 59/32, 21/8, 
  -1/8, -97/32, -91/24, -43/96, -101/32, -533/96, -85/32, 149/96, 59/32, 
  21/8, -1/8, -7/2, -19/8, -91/24, -43/96, -213/32, -995/96, -85/32, 137/24, 
  0, -11/48, 0, 11/48, -11/24, 11/24, 3/8, -1/8, 3/4, 19/8, 0, -1/8, -9/8, 
  3/4, 29/8, -1/96, -145/96, 13/8, 0, -13/4, 0, 13/8, 1/4, 39/8, 17/8, 
  -65/32, 27/16, -25/24, -1699/48, 0, 3/2, -89/32, 19/24, -27/8, 0, 0, 25/12, 
  0, -25/12, 0, 0, -3/4, 0, -23/16, -1/16, 23/24, -7/16, 41/48, -35/24, 
  -7/48, 91/48, 5/16, -39/16, 3/4, 51/32, 5/4, 0, -23/16, -13/4, -217/48, 
  7/8, 0, -51/32, -199/96, 19/16, 283/96, 31/96, -1, 17/8, -29/6, 431/64, 
  185/64, -43/12, -21/64, -13/48, 7/8, -173/24, 43/12, 935/32, 65/32, 
  -7847/192, 0, 0, 0, -27/8, 395/16, -31/4, 99/16, 307/32, -27/8, 36, -19/8, 
  -629/24, -163/12, -595/16, 11/2, -279/32, 413/12, -13/8, 421/96, 71/96, 
  11/4, -1/4, -67/24, 131/48, 1/4, 203/96, -1471/64, -27/2, 0, 887/64, 49/12, 
  -3643/96, 133/96, 799/96, -1/8, 1, 2911/96, -259/32, 3/2, -23/8, 3701/192, 
  29/4, 41/3, -8, 1, -539/32, -3307/96, 169/96, 487/96, -9/8, -9/8, 2755/96, 
  -263/32, 47/6, -695/64, 3173/192, 10, 2309/192, -14/3, 0, -547/288, 
  -3331/96, -9/4, -155/96, 2, 16/3, 793/32, 19/32, 13/3, 7/24, 1589/192, 2, 
  4067/192, -11/12, 881/32, 223/48, 289/96, 65/16, -509/48, 91/16, -559/32, 
  -161/16, 235/4, -29/48, -431/8, 0, -349/16, -43/6, 605/48, 113/4, 55/16, 
  -113/4, -17/6, -245/48, -187/8, -191/48, 88/3, 287/48, -35/32, 7/48, 43/24, 
  -379/96, -391/48, -3/4, 43/32, 93/16, 121/16, -73/12, 813/64, 25/32, 
  -233/48, -215/32, 9019/192, 7/8, -19/12, 43/24, 16, 5/2, -3/4, -443/96, 
  93/16, 35/16, -73/12, -3511/192, -297/32, 2371/48, 67/96, -989/192, 9/8, 
  1/8, -3/8, 1/8, -3/8, -9/8, -1/8, 347/24, 0, 0, -22033/480, -1/4, 
  13271/960, 1/8, 1601/72, -85/64, 4/3, 22033/480, -14041/960, -1907/72, 
  -7/4, 3/2, 73/48, 89/32, -5/8, 79/32, 1/4, -221/64, -439/64, -35/32, 
  365/64, 7531/160, -11/8, -12721/960, -27/8, 9/4, 29/32, -1/4, -21/8, 
  -239/64, 7/8, 501/64, -9/4, -215/96, 1/4, -875/64, 4/3, 0, 47/8, 13/8, 
  -133/32, -57/16, 397/12, -77/8, -433/24, -91/4, -81/8, 207/32, 271/16, 
  75/8, -13/8, 4, -437/32, -57/16, -26, -17/3, -1, -75/8, 227/16, 263/32, 
  -487/24, -129/16, 57/8, -15/16, -41/6, -587/48, -379/24, 11/16, -155/48, 
  97/48, 52/3, 155/48, 553/16, 55/48, 275/16, -1009/24, -107/16, 0, 55/6, 
  -91/12, 3, -197/24, -11/8, -29/12, 207/16, 143/24, -39/16, -14/3, 1139/48, 
  155/24, -511/8, -139/48, -1/2, -557/12, 11/2, 11/4, -927/32, -403/48, 
  -1789/48, -1, -9/2, -1, 3/16, -13/4, -103/16, -3, -3/2, 9, 221/24, 67/4, 
  893/24, 3/4, 7/2, -35/4, 25/4, 4, -295/12, -10, 7/2, -1, -7/4, 12, 821/24, 
  -3/4, -195/32, 4/3, 15/8, -9/4, 13/2, -7/4, -7/16, -19, 821/24, -1045/48, 
  -3/4, 37/8, -171/32, 171/16, -33/8, -11/2, 54, 41/8, -17/8, -6, -617/16, 
  16, 3/2, -31/4, 15/8, 1/8, 81/2, 109/8, -11/4, 89/4, 19/8, -71/16, -13/4, 
  81/16, 37/8, -127/8, 65/16, -7/8, -65/4, 1/8, 259/48, -17/16, 327/16, 
  -53/4, -13/8, -4, -89/32, -9/2, -367/32, 137/24, 0, -13/2, -141/32, 37/12, 
  395/96, 329/24, -17/8, -67/6, 0, 31/24, 29/3, 5/6, 5957/480, 4163/320, 
  -3661/480, -10709/960, 59/12, 593/64, -17/16, 4121/192, -31/4, -3, -37/24, 
  9/4, 47/16, -65/6, 115/16, 7/16, 77/8, -79/24, -47/16, -69/16, -49/16, 
  57/16, -1/8, -1/3, 47/6, 89/8, 125/12, 1325/96, -1175/72, -2561/96, 
  1787/144, -16/3, -361/24, -35977/576, -2019/64, -715/18, -12065/576, 
  1643/192, 1625/48, 6053/576, -847/64, -239/32, 20483/576, -16/3, 741/64, 
  -33629/576, -1971/64, 2389/192, -877/18, -14881/576, 1/9, -247/192, 
  1403/192, 1571/48, 7501/576, -807/64, 71/96, 22703/576, -16/3, 1735/192, 
  -34961/576, -5297/192, -3073/576, -877/18, -2827/192, 1/9, -1795/64, 
  3067/192, 5335/96, -185/192, -7783/192, 1/4, -1/4, -1/4, -4457/480, -3/2, 
  3977/480, -2, 105/16, 3/8, 4307/480, 9/4, 0, 3/2, 61/192, -37/24, 9/8, 
  13/24, 47/192, 101/480, 29/24, -9/4, -17/64, -3/16, 647/192, 1/8, -5/8, 
  -83/12, 3/4, -5/8, 175/24, 5/4, 43/6, 89/12, -121/24, -157/24, 11/3, 31/4, 
  -5/8, 473/24, -15/2, -1/4, 3/4, 1/4, 1/8, 71/12, 7/4, -151/24, 3, -89/8, 
  3/2, -5/12, -4, 0, 3, -9/2, 5, -3/2, 1/4, -1/4, 0, 1, 3/4, -3, 31/6, -9/2, 
  -17/12, -17/12, -1/6, 23/12, 3/4, -1/2, -1/4, -1/8, 0, 37/24, 0, 61/16, 
  -59/12, 29/16, 9/16, 15/4, -53/6, -145/16, -113/16, -41/16, 97/16, -47/96, 
  -4655/576, 37/24, -1999/192, 8945/576, 5513/192, 26785/576, 4313/72, 
  -3137/192, -7709/144, -713/16, -9/2, 525/8, -53/24, -47/48, -11/3, 101/24, 
  -413/8, -23/16, -79/16, -6, 239/32, -1/8, -139/24, -211/12, 241/192, 
  -261/32, -23/192, -529/64, 343/64, -53/24, -197/64, -1/4, -265/64, -1/8, 
  17/2, 47/16, -59/64, 0, 23/8, 0, -125/64, 679/48, -39/16, 529/48, -31/3, 
  -1/8, 1/8, 295/32, 0, -923/96, -149/16, -59/64, -1/2, -343/64, 35/8, 
  -73/12, 121/6, -65/12, 43/64, 1, 59/64, -19/16, -9/8, 205/4, 2369/48, -1, 
  -1577/24, -1037/16, -7/16, -315/8, 439/48, 1603/24, -133/12, 3733/48, 
  3317/48, 379/16, -5911/48, -25/48, 1/4, 551/12, -1, 1/2, -793/12, -3/4, 
  -1237/24, 439/48, 911/12, -133/12, 185/6, 3413/48, 137/8, -7351/48, 
  -193/48, -3/4, -19/8, -9/4, 0, 0, 747/80, 0, -3, 57/8, 7715/192, -1829/240, 
  -175/48, 3, 0, 8377/480, 1969/64, -1/3, -7999/320, 5/8, -3/2, -2587/144, 
  -719/192, 2/3, -8377/480, 7325/192, -6877/960, -17207/360, -851/12, 
  -107/96, -8663/576, -35/24, -2119/192, 14609/576, 1843/64, 7483/1440, 
  174941/2880, 3601/64, -26161/2880, 0, -3, 0, 1/8, 189/320, 1/2, 1011/320, 
  0, 3, 0, 811/320, 0, 0, 0, -3, -1/8, 19/16, -11/48, 5/12, 121/144, 11/16, 
  11/24, 11/48, 0, 11/16, 39/8, 13/9, 5/6, 11/48, 0, 565/96, -11/48, -11/16, 
  -27/8, -157/12, 11/16, 0, -163/48, 113/24, 3, 19/8, 61/24, 77/24, -25/16, 
  97/24, -1/4, 0, -907/96, -1/12, -61/16, 173/48, -167/24, -91/96, -1231/48, 
  -1/2, 163/48, -179/24, -39/4, 103/24, -89/24, 2, 331/16, 121/12, -19/24, 
  311/24, 11/4, 9, 1/4, 337/48, -9/4, 1/6, -17/8, -3/4, -15/8, 17/8, 7/8, 
  41/24, -1/8, 47/16, 0, -13/24, -349/48, -59/8, -215/48, 115/12, -5/12, 
  103/24, 1/3, -97/24, -3/4, -55/4, -1/6, 15/4, 35/24, -5/12, -1/4, 7/12, 
  -3113/144, -7/72, 7/32, 2467/144, 79/72, -15/32, 1589/72, 1/4, 37/96, 
  659/48, -7147/288, -265/18, -4/9, 1/6, 79/6, -4717/144, -5077/96, -2197/72, 
  173/144, -45/4, 4231/72, -205/144, 1801/288, -37/4, 23/32, 155/16, 
  -841/144, 0, 0, 0, -51/16, 1, -35/32, 179/48, 43/32, -37/96, -283/48, 
  -71/96, -1/6, 0, 0, 0, 0, 0, 173/96, 191/96, -307/96, 1253/96, 0, -215/48, 
  3/4, 0, -3/2, 1/2, 3/4, -1/2, 0, -7/6, -59/48, -353/96, -17/18, -11/24, 
  5/12, 1919/288, 11/24, -3/4, 0, 1, 0, -1/4, 61/24, 0, 89/32, -43/24, 0, 
  -9/8, -1/8, 0, -1/4, 5/2, -11/48, -1/8, 0, -29/48, -17/4, 263/48, 1, 0, 
  9/16, -5/2, 7/48, 1/8, 11/48, -947/72, 2/3, 97/48, 27/16, 21/8, 9/8, -5/16, 
  3/2, 1, -27/4, -27/8, -1, -17/4, 31/8, 61/16, -31/8, -11/4, 57/16, -3/8, 
  -45/4, -35/24, -251/8, 1/24, 267/8, 207/8, 25, 257/24, -545/12, 35/8, 
  97/16, 35/2, -1/2, -63/16, -109/16, 625/24, 5/2, -1657/48, -489/8, -35/16, 
  -51/4, 5/8, -269/48, -7/8, -11/24, 3/8, 0, 0, -3/8, -73/32, 1/4, 33/16, -1, 
  13/24, -2/3, 11/24, 15/8, 89/48, 1/3, 11/48, -11/48, 235/48, 37/32, -17/48, 
  -69/32, 9/8, 11/48, -371/12, -31/24, -11/48, -11/16, -171/32, -5/4, 11/16, 
  -411/16, -11/24, 379/16, -913/72, -411/16, 411/16, -7/4, -1199/24, 
  -8695/96, -63/16, 0, 0, 2065/24, 1199/24, 6421/96, -631/96, -2897/48, 
  1009/96, 89/24, 0, -89/24, 59/48, 89/24, -293/48, -177/32, 1/8, -35/48, 
  -3/8, 11/24, 91/12, -53/24, 115/48, 79/4, 65/16, -91/12, -455/32, 0, 3/4, 
  0, 71/32, 25/16, -25/16, -39/16, 3/16, -11/48, -5/12, -7/48, -239/48, 
  -7/24, -11/24, -17/48, 0, -1/16, -39/8, -71/48, -5/48, -27/16, 11/48, 
  299/96, 549/16, -11/48, -11/16, 27/8, 121/32, 11/16, 0, 1225/288, 
  -6229/288, 1/4, -5/4, 85/48, 403/144, 0, -49/12, -11/24, 73/18, -31/24, 
  817/144, -1285/144, 21/16, 11/24, 109/24, -1, 1/2, 143/288, 541/144, -25/8, 
  -9/8, 179/24, 11/8, -47/18, 5183/288, -57/8, -481/96, 29/6, 21/8, 1/2, 
  -177/16, 0, -65/32, -223/48, 57/32, -863/32, 47/48, -37/32, 3/8, 7/96, 
  683/48, 2255/96, -289/48, -3/8, -9/8, 1/3, 7757/192, 1265/24, 3/4, 2461/96, 
  -1727/48, -19/4, -6167/96, 109/8, -719/24, -17/4, -4189/192, 3, 277/16, 
  191/6, -47/4, 7/12, 61/96, 0, -11/24, -55/32, -5/2, 0, 1027/288, 21/8, 
  -31/96, -127/18, 45/32, 43/32, -103/24, 347/144, -19/24, -7/12, -361/288, 
  47/24, -3/8, 1043/144, 15/8, 12769/720, 5963/288, -127/60, -14681/864, 
  251/144, -125/24, -29/4, -1901/96, 5, 0, 121/24, -53/6, 5/2, -35/4, 2, 
  1/16, 5/2, -23/16, 0, 5/2, 1/6, 1/16, 689/48, 25/12, -4/3, -67/24, -149/48, 
  17/6, -5/3, 487/24, 0, 53/6, 5/2, -11/8, -871/24, -145/8, 31/4, 251/12, 
  -19/12, 5/4, -269/48, 7/4, -15/8, 1/4, 205/24, 5/2, -419/48, 1327/48, 
  -11/2, -1171/96, -5/4, 59/12, -143/24, -35/48, -31/4, 601/24, 247/16, 
  13/12, -3/8, -115/24, -7/4, 13/8, 13/8, 13/16, 219/32, 7/2, -37/32, -73/16, 
  43/32, 1/2, -133/24, -5849/96, -247/16, 2557/96, 13/4, 731/16, -33/4, 
  193/32, -5/8, 1703/96, 37/32, -29/32, 1391/96, -49/24, -2357/96, -785/48, 
  -391/48, 99/32, 265/32, 119/4, -231/32, -165/16, 33/16, 9/8, 401/32, 
  -17/16, -65/32, -7/4, 551/32, 181/24, 3/2, -607/96, 25/16, -9/2, 157/48, 
  -35/2, 53/4, 151/16, -5/6, -37/32, -327/32, -29/16, 225/32, -1017/32, 
  299/48, 809/96, -335/24, -17/12, 13/2, -69/16, -487/24, -119/32, 0, -9/4, 
  59/32, -37/8, 25/16, 1/8, 291/32, -15/8, -119/32, 55/12, 335/96, -101/48, 
  839/32, 1/3, -203/96, -263/24, 101/12, 43/8, -23/12, 5/4, -2, -1/2, 
  -169/48, -5/32, 49/16, -3/4, 47/8, 685/48, 313/24, 5/8, 0, 127/32, -11/24, 
  0, 3215/144, -181/72, 25/32, -3577/144, 8/9, -25/32, -205/36, 7/96, 
  -1591/216, 6391/288, -1355/216, -77/36, -1/6, -1591/216, 707/192, 9697/288, 
  5/4, 9193/192, 1495/288, 33/8, -4595/216, -185/18, -113/4, 2461/216, 
  -7973/288, 9/8, -277/16, 977/36, 39/4, -1/2, -55/12, 21/16, 23/6, -13/16, 
  0, 2837/480, 7/4, -17/32, 37/24, 61/32, -7/96, -7/12, -301/96, 1/6, 13/8, 
  -77/48, 21/4, 1/8, -49/16, -21/8, -4037/480, 6611/192, 19/48, 5909/960, 
  -205/48, -31/4, 6, 331/96, -9/4, 0, -3/4, 0, 1/4, 15/8, -3, -15/16, 33/8, 
  11/16, 15/8, 5/6, -143/48, -43/6, -251/48, -23/12, -1/12, -71/12, -11/24, 
  -17/8, -25/8, 1/8, -11/4, 1/8, 11/6, 23/8, 1/8, 13/24, 27/8, 3/4, -29/8, 
  -1/8, -1139/48, 1/4, -1/2, 719/48, 13/8, 5/2, 91/24, -1067/48, 7/4, 
  -2411/48, -1681/24, -37/4, 3311/48, 7/3, 0, 103/4, -1/2, -17/32, -781/48, 
  -1/2, 35/32, -461/16, -9/16, -143/96, 91/16, -445/32, 265/48, 1477/48, 
  25/12, -247/48, -1441/64, 39/16, 10597/192, 1681/24, 13, 377/48, 61/48, 
  -1973/24, 481/48, -47/16, 0, 2/3, -1235/96, 0, -2, 0, 2, 0, 0, -6383/1440, 
  0, 49/32, 4403/1440, 55/32, 7/96, 0, -1669/720, -1/6, 0, 13/2, 0, -9/2, 1, 
  -10007/1440, -8465/192, -3481/960, 6019/480, -9/2, 0, 1/2, 55/32, 2, -3/2, 
  9/2, -1/12, 1/6, 11/6, 14, 4, -6, 35/3, -15/2, -127/16, -2897/32, 2389/32, 
  -1/4, 19/12, -11/4, -5/4, 0, 7/8, 0, -13/8, 1/8, 9/8, -5/36, 0, 23/36, 
  73/4, -731/24, -7/2, -155/12, 189/8, 97/4, -16/3, -229/16, 349/32, -693/32, 
  -3/4, 43/3, -63/8, 5/3, 61/8, 77/6, 61/4, -85/12, 49/12, 29/6, 0, 93/8, 
  93/8, 0, -93/8, 1265/24, -1/8, -93/8, -1265/24, 6, 39/2, -88/3, -15/2, 
  8227/120, 259/40, -8587/120, -8707/120, -419/12, -32/3, -23/4, -1013/144, 
  33/4, 71/8, -71/8, -11/24, 59/8, -37/12, -16/3, 1/3, -1/12, 5/3, 7/2, 
  -79/40, -7/2, 433/4, -2027/60, 8027/80, 199/80, -8037/80, -1661/15, 
  -263/12, -1, 79/80, 1, -13639/120, 631/24, 1/4, -1/4, -1/4, 7/8, -7/8, 
  -15/16, 1/6, 2399/96, 441/16, -11/24, 1691/144, 0, -1691/144, -865/48, 
  1/12, 0, -53/24, 0, -1/8, 1/8, 1/12, 2399/96, 441/16, -13957/288, -5/24, 
  1385/288, 2399/96, 6553/288, -12523/288, -1/8, 0, 0, 0, 0, -695/144, -11/3, 
  0, -11/24, 6, 0, -1/12, 0, 187/96, 11/36, -5, -139/12, 15, 101/4, 715/24, 
  -323/6, -65/4, 635/72, -635/72, -47/4, -55/6, 41/12, 25/3, -95/8, 0, -3/4, 
  95/8, 0, -35/4, 221/8, -128/9, -25, -16/9, 2/9, 0, 7/9, 25/3, 23, 139/8, 
  -159/4, 209/16, -135/8, -605/24, 5, -87/4, 14, 65/3, -7, 205/8, 5, -121/4, 
  -5/2, 75/4, -5/2, 1137/16, 327/4, 135/8, -969/16, -1/4, 607/16, 3/4, 
  -875/8, -703/16, -45/4, 21/2, -65/24, -139/12, -29/4, 76/3, 85/24, 
  -1723/96, 1901/192, 7339/96, 611/32, -695/144, 3/2, 0, -2, 11/12, 695/288, 
  313/144, 839/144, -845/36, -2473/288, -533/48, -377/96, -2509/96, 
  -1843/288, -15/32, -665/48, -209/24, -1, -11/24, 1, -5/4, -11/12, 0, 0, 
  7/2, 5/16, -7/12, -1/2, 5/16, -387/32, 1313/96, 5027/64, 683/32, -291/32, 
  11/24, 49/8, -11/12, 0, 3, -271/16, -3185/192, 1871/64, 839/16, 55/48, -1, 
  73/6, -1915/18, -13/2, 73/48, -277/48, 3997/288, -44267/576, 6067/288, 
  12367/288, 40927/576, 3925/288, -43979/576, 5345/144, -1753/288, 43453/576, 
  0, 3/8, 187/96, 0, 0, 793/40, 30631/480, 3/2, -187/192, -28907/960, 
  -11885/64, 2921/64, 360271/2880, 16733/192, 0, 5/16, 0, -187/192, -5/16, 
  -22753/480, 5785919/3600, 87929/576, 19747/96, -31013/72, -703/36, -6, 7/2, 
  398019/800, 22753/480, -398019/800, -5751719/3600, 1/2, 6, 37/24, -35/2, 
  -37/4, -703/36, 493/72, -1093/96, 3/4, -79/8, -1835/96, -293/32, 21/4, 
  -317/48, 1/2, 6339/200, 1/4, -6339/200, 5, 64843/3600, -5065/192, -3485/96, 
  26887/576, 12068263/14400, 58393/3600, 89711/400, 429/40, -728399/3600, 
  -11071813/14400, -11/4, -56909/2400, 0, 56009/2400, 25/24, 467/24, -159/8, 
  -285/32, -683/48, 125/16, 29/3, -51/16, -281/64, -239/96, 81/16, 97/6, 
  -113/16, -1553/64, -173/96, 4631/72, 35927/576, -2881/96, -2963/288, 
  -2285/64, -155/12, -22/3, 279/2, 28, -187/12, 53/24, 2753/24, 0, 79/4, 5/4, 
  -58/3, -93329/17280, 33695/1152, -9281/4320, 6299/288, 8777/576, -1037/576, 
  -3773/288, 307193/8640, -5/4, 2873/576, 5/8, -3905/288, -258667/8640, 
  -72185/288, -313/6, 130193/576, 4249/32, -1159/32, -46817/576, -307/12, 
  108629/576, 17111/96, -106523/576, -11191/96, -12161/96, 1091/96, 2845/32, 
  152387/576, 305/96, -10225/96, -1169/96, 2235/32, 208931/576, 0, 0, 0, 0, 
  247/60, 335/3, 2573/90, -8/3, 247/120, 2569/48, 2573/180, 47/48, 71/48, 
  263071/7200, 69893/1440, -12947/1440, 71633/960, 6169967/14400, 0, -5/4, 0, 
  5/4, 5/4, 249/8, 2189/48, -541/24, 83/8, 163/16, -293/24, -553/24, -61/32, 
  -43/4, -2, 0, 123/32, 1, -13/4, -551/48, -647/96, -71/8, -7/2, 527/48, 
  335/32, -2119/24, -352/9, 5/3, -237/8, 2215/16, -2439/16, -5135/16, 
  -10865/48, 68/3, -7711/48, -5953/48, -91/2, -863/9, -1347/8, -2335/16, 
  347/20, 16037/80, 32941/240, 0, -21/4, 757/20, -347/24, -1627/20, -269/5, 
  3407/432, 125/108, 1105/24, 9/2, 1555/216, 43/8, 549/16, 11/6, -3/16, 
  -99/4, 245/32, -1/8, 43/96, -121/48, 785/32, -3917/192, 11/24, -457/48, 
  189/8, 95/192, -575/96, 721/16, 11/24, 521/48, -5/48, 41/24, -2681/96, 
  -95/48, -4495/576, 613/192, -1165/64, -1391/192, 0, 14569/480, 881/24, 
  23/24, -15767/480, -59/16, -33/16, -5125/48, 47/80, 3/4, -2345/96, 
  -14333/96, 5031/160, 9955/96, 3795/32, -1, 13/8, -3263/288, -3877/96, 
  -48853/576, 0, 19/288, -427/24, 0, 1, 69/8, 161/8, -331/72, -27/4, 391/96, 
  789/32, 283/24, 295/48, -497/24, 77/12, -1571/64, -1463/32, 963/32, 
  -329/192, -377/32, 773/48, -2191/96, -661/16, -235/48, 2435/192, -347/32, 
  71/48, -24325/192, -889/96, 5003/48, 1537/96, -487/96, 13061/96, -913/48, 
  25961/192, 4183/96, -6529/192, -1129/8, -251/48, 0, 5569/120, -6041/48, 
  5/4, -7107/160, 9/16, 11/32, 4549/144, 415/32, 3299/96, -5569/120, 
  22681/96, 2861/480, -3847/144, -3533/32, -27/8, -63/2, 211/48, 20, -269/48, 
  47/8, 1205/48, -445/96, -9007/192, 225/8, -35/2, -1201/24, 0, 16831/192, 
  3311/48, -85/24, -1039/8, -11665/96, 2285/192, -9689/72, -725/72, 
  34469/288, 451/36, 7263/64, 50, -3399/64, -11675/72, -781/96, -5/4, -91/48, 
  3/2, -9/8, 53/60, 19/8, 173/48, -1187/60, -6397/60, -5447/96, 2377/96, 
  -27/4, 77/32, -907/32, -157/32, 17/6, 341/32, -1/8, -341/32, -65/24, 
  -203/24, 127/32, 679/48, 169/24, -697/96, 689/96, -109/32, 415/6, 209/4, 
  -15739/288, -2617/96, 3757/288, -1473/16, 61/48, -379/72, -347/24, -7/16, 
  13/48, 283/24, 0, 0, 3, 0, 43/48, -865/96, -2761/2880, -1735/96, 0, 389/32, 
  55/144, -2117/288, -4, 13/24, -1447/96, -113/24, -599/144, 23/16, -449/48, 
  107/12, 0, 1865/48, -151/16, 114143/576, -6689/72, 7841/288, 41/12, 
  12119/144, -27541/288, 7/24, -104353/576, 9229/144, 5993/64, 19085/144, 
  -62563/576, 0, -19871/7200, 56063/160, -77/24, 100211/2880, -31/6, -97/48, 
  -329839/2880, 1099/960, -5/8, 56021/7200, -13375487/14400, -4873/120, 
  86519/1440, 9048017/14400, 27/4, 425/48, -227/32, -255/32, 445/24, -23/16, 
  -65/4, -41/96, -13819/288, 167/12, 457/48, 907/144, -2233/72, 4769/144, 
  265/288, 5/12, -179/6, 143/6, -111/4, 1535/24, 1519/32, -403/48, -991/48, 
  121/12, -301/48, -17/8, 637/48, 313/12, -2531/24, -8693/72, 217/8, 209/32, 
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  37/24, 83/36, 1939/432, 551/216, -5/6, -6, -1/12, 9/2, -3/2, 1/4, -23/12, 
  -9/4, -1/6, 31/6, 9/4, 2/3, -13/4, -1/2, 7/6, 53/12, 9/4, -5/3, -5/2, 1/2, 
  23/12, 2, -65/12, -2, 7/2, -19/6, -2, 5/4, 0, 0, 0, -17/12, -19/4, -13/4, 
  -7/3, 16/3, -3, -19/18, 7/2, 5/3, -2, 0, -3/2, 0, 7/6, -8/3, 9/2, -5/3, 2, 
  1/2, 0, 0, 0, 0, 7/6, 1/2, -15/2, -29/4, -9/2, -17/4, 63/4, 25/3, -13/4, 
  -31/4, -5/3, 22/3, 25/2, 25/6, -35/2, 7/4, -11/6, -7, 15/2, 1, 5/3, 85/12, 
  33/4, -17/4, -53/4, 43/4, -13/3, -17/2, 13/2, 5/2, 17/12, 1/2, -15/4, -1/4, 
  1/4, 7/6, 4, -3/8, -7/6, 8/3, -1/8, 8/3, -7/2, -3/2, -13/4, -1, -1/12, 
  19/96, 37/16, 1/2, 1/4, -1/3, 27/16, -17/8, 79/48, 13/16, 3/2, 1/12, 
  117/32, -61/16, -1/4, 5/12, 4, -3, 25/12, 0, 2/3, 209/72, 217/24, -7/48, 
  245/24, 91/48, -19/12, -25/3, -39/8, 11/12, 251/54, 293/9, -43/8, -889/108, 
  -599/18, 449/72, 5/6, 11/9, 16753/432, 131/54, 7/12, -85/48, -9/4, 7/12, 
  93/32, 259/96, -3/4, 19/4, -5/8, 29/24, 5/2, 17/12, -107/32, -27/4, -1/2, 
  -23/24, -7/12, 269/48, 2, -677/96, -23/12, -15/8, -29/24, -53/48, 325/96, 
  1/24, -23/6, -4, -109/32, 5/2, 0, 7/6, -7/8, -3/2, 1/2, -7/6, 9/2, 3/2, 
  -5/3, 19/8, 17/12, -17/6, -15/4, 1/2, -1, 19/12, 0, 5/3, 1/2, -10/3, -5/2, 
  -3/2, -13/6, 1, 3, 1/2, -1/2, 1/2, 1/2, 1/2, 0, -9/4, -23/18, 37/8, 245/48, 
  415/72, -47/48, 0, 13/8, -5/4, -143/36, 0, 0, 7/24, 0, -35/8, 53/12, 0, 
  11/2, -43/12, -3/2, 4, -7/2, -5/6, 0, -5/6, 49/24, 37/8, 65/12, 35/6, 1/3, 
  446/27, -13/12, -149/24, -1607/108, -113/36, -29/18, -181/6, 71/72, 
  1157/432, 164/27, 5/6, 1/6, -1/8, 35/12, 1/6, -3/2, -35/12, -4, 3, -1/2, 
  29/96, -11/96, 9/4, -4/3, 7/3, -137/12, -1/2, -11/6, -3/4, -35/12, -83/24, 
  3/2, 11/4, 18, 49/12, 25/6, -9/4, -22/3, -5/4, -277/96, -643/96, -7/4, 
  -9/4, 19/6, 13/4, -883/96, -1295/96, 5, 145/12, -109/48, 0, -1/4, -83/48, 
  0, -7/6, 17/3, -11/2, 1/2, 3/4, -3, 1/2, -4/3, -4/3, 4/3, 11/6, -1, -7/2, 
  59/36, 11/9, 389/48, 343/72, 1/36, -35/48, 0, 37/8, -35/36, -71/9, 13/36, 
  0, -9/8, 1/9, 21/4, -59/12, -9/2, -245/36, 71/12, 25/18, -9/2, 13/2, -2/3, 
  -1/2, 17/27, 9, -593/108, -80/9, 179/36, -439/108, -523/144, 1/36, 371/54, 
  12971/432, -133/36, -31/24, 761/108, -3935/216, -551/216, 511/36, -2051/48, 
  -241/16, -49/3, 1453/48, 9/2, -29/9, 77/12, 1565/144, 29/9, 1069/24, 
  -915/16, -6, -1019/48, 1, 0, -5/2, 29/6, 27/4, -19/6, -23/3, -49/6, -23/3, 
  9/4, -7/3, -4/3, -4/3, -10, 7/3, -11/3, 10/3, 11/6, 31/12, -1, -5/6, -49/6, 
  11/4, -3/2, -13/4, 35/12, 9, -1, -25/12, -1/4, -1/4, 1/4, 13/12, -19/9, 
  -43/8, -119/16, -23/9, 53/8, 541/48, 1067/72, -23/24, -13/24, 65/24, 
  155/24, -71/12, -935/72, -13/24, 3/8, 49/48, 193/24, 9/2, -145/48, -95/24, 
  5/2, -11/3, -187/24, 163/24, 31/24, -221/48, -4, 221/48, 85/24, 0, 109/54, 
  1, -107/108, -1, -37/36, -1081/54, -626/81, -7/12, 625/27, 6097/648, 83/36, 
  143/4, 211/72, -17861/1296, -845/108, -115/54, -19/4, -9/2, 233/36, 23/12, 
  -5/4, 15/4, 4, -25/4, 0, -259/24, -995/8, -7/2, -14/3, -193/4, -49/3, 
  497/12, 9, 135/2, -2, 39/2, -39/2, 0, 0, -24, -2, 0, 0, 0, -1/2, -1/2, 
  -39/2, 29, 1/2, -29, 1/2, 1/6, 298, -149/2, -298, -9/8, -141/8, 9/8, 0, 
  11/8, -28/3, 2313/8, 0, 0, 147/2, 31, -147/2, -3127/48, 6041/48, -705/4, 
  -113/24, 2059/12, 321/2, 533/8, -152/9, -31/2, 49/3, 2995/24, -2633/24, 0, 
  -1/6, -1, -1/6, 4, -2/3, 4, 28/3, 1/2, 19, -1/2, -1/2, -51/16, -61/16, 9/4, 
  -1363/24, -465/8, -35/6, 1363/24, 0, -12, 8, 4, -2, 1, 50/3, -18, -11, 6, 
  -763/16, 11/12, -671/16, -2/3, 0, -1/6, 1/6, 1/6, -107/9, 191/6, 7/12, 
  -35/12, -3/8, -24, 15/8, -1051/48, 271/48, 4711/48, 113/12, -671/48, -1/2, 
  13/3, 22/3, -7/2, -2, -835/24, -1199/24, -73/24, 19/3, -671/24, 76, -60, 
  -2/3, 10/3, 0, 3/2, -8, 1/2, -1/6, 43/12, 1/6, -1/6, -5/3, 7/6, 0, 25, 
  -1/2, 0, 0, 45/4, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 335/3, -146/3, -67, -421/16, 
  335/6, -73/3, -67/2, -421/16, 1017/16, 238/3, -73/6, -409/6, -335/16, 93/8, 
  238/3, -73/6, -367/6, -287/8, 17/4, -2, 3, 563/4, 321/4, -403/8, 711/8, 
  293/4, -33/8, -159/8, 747/8, 665/12, 2419/24, 370/3, -3158/9, 1403/12, 
  571/3, 655/12, -10301/18, -5/3, -169/24, 33/4, 209/24, 223/24, -18, 11/3, 
  -149/16, -47/4, -1/2, -50/3, -21, 35/12, 149/12, 3, -2/3, -245/72, 55/8, 
  -3/4, -8/3, -11/12, -251/27, 949/54, -25/18, -2/3, -15457/216, -131/27, 
  -586/9, 841/18, -37/18, 41/4, -50/9, 2, 35/9, -37/48, -7/24, 50/9, 10/3, 
  -10/3, 0, -1/4, -99/4, 14, -185/12, 175/4, 47/3, 15/2, 11/4, 133/12, -29/4, 
  -6, -31/2, -3, 6, 0, 23/6, 35/2, -7/3, -3, -139/3, -3/2, -15/4, -13/12, 
  131/6, 1/4, 2, 44, 46/3, -67/3, -83/6, -1/3, 259/2, 83/2, -41, -149/2, 
  11/2, 15/4, -477/4, 69/4, -15/4, -259/2, -73/2, 37, 273/2, -9/2, -1/4, 
  -1/4, 97/4, 139/4, -31/2, 153/16, -43/16, -59/2, -149/16, -5/2, -26, 21/2, 
  8, 25/4, 325/12, 9/4, -325/12, -25/3, -65/4, -1/2, 247/12, 0, 35/4, 89/4, 
  19/6, -247/12, -47/6, -1201/108, 375/4, 259/12, 3727/108, -3581/36, 
  -413/18, 335/16, -1445/144, -3101/216, -11629/432, -2675/24, 3955/16, 
  1527/16, 4069/48, -995/16, 22, 67/4, -133/4, -269/12, 23/12, -81/2, -67/4, 
  103/4, 37/2, -69/4, 69/4, 69/4, -1/6, 113/24, -22/9, 3/8, -3/8, 1/6, -6, 
  -155/12, 12, 133/12, 25/4, 1/4, 11/12, -1/3, 3/4, -5/6, 97/36, 1/2, -89/24, 
  62/9, 173/72, 7/6, -13/12, -209/36, -527/12, 11/2, 139/4, -11/6, -11/72, 
  -203/12, 41/4, -79/24, -5881/108, 1192/27, 1057/72, 2197/24, 32/27, 
  -4865/216, -11/16, -139/16, -33/16, 299/16, -107/16, -5/2, -165/16, -163/6, 
  343/48, 313/24, 179/16, -351/16, -85/4, -173/24, 313/16, -4, 485/48, 
  -145/8, 7/3, -15/16, -4, -5/6, 3, 373/48, 25/8, 10/3, 665/36, 433/12, 
  -77/6, -107/3, 47/6, -79/24, -61/4, 29/4, 187/24, 242/27, -224/27, 251/36, 
  12, 12217/216, -166/27, 1277/18, -683/9, 22/9, -27/4, 3, -45/16, -265/48, 
  -137/8, 13/24, 43/12, -209/48, -85/12, -169/48, 5/48, -4/3, -209/36, 
  -355/12, 11/2, 77/3, -11/6, -17/72, -39/2, 31/3, -107/24, 335/18, -5711/72, 
  -125/16, -283/12, 1297/72, 133/24, -59/12, 6967/288, 4009/144, 167/18, 
  3031/72, -185/24, -725/18, -4667/288, 465/16, 16/3, -715/96, -1/32, 
  -157/32, -3683/96, 215/48, -49/12, -245/48, -11, 13/8, 403/12, -823/96, 
  -509/32, -203/24, 671/24, -8/3, 391/24, 371/24, 205/32, 4985/96, -229/48, 
  -5/12, -44/3, -1449/32, 3/4, -735/32, -1129/96, -217/96, 1691/96, -77/32, 
  65/9, 1315/108, -905/36, -763/24, -12919/144, 91/72, -586/9, 30043/432, 
  -17/6, 11, 1/6, 0, -1/6, 0, 0, 0, 0, 0, -475/18, 131/6, -31/3, 0, -1003/12, 
  1/4, 0, -137/32, 575/48, -67/96, -44/3, -10/3, 8, 433/32, 1051/96, 65/3, 
  -37/4, 103/16, 39/16, 0, -39/16, 0, 21, -57/4, -119/6, -149/4, -15/4, 21/2, 
  -127/24, 521/24, 33/4, -377/24, -101/96, -2597/288, -80/3, 68/3, 143/6, 
  -73/3, 137/48, 175/8, -3/2, -17/8, -1027/32, -305/32, -109/12, 653/48, 
  37/6, -1781/27, -4411/288, -507/32, 1945/27, -5755/216, 11/3, 132661/864, 
  27781/864, 5755/216, -9311/216, 4783/288, 705/32, -217/12, -119/48, 49/48, 
  281/12, 379/6, 1/8, -1379/36, -2269/36, 283/12, -2005/48, -3137/72, 
  3817/36, 5189/72, -206/27, -823/12, -19/3, 235/216, 1841/36, -523/72, -1/2, 
  119/9, -12271/216, -415/54, 253/24, 959/36, -19/24, -83/24, -553/24, 
  -23/24, -701/24, -71/8, 569/24, 161/12, 907/48, -471/16, 29/6, 67/3, 
  15965/144, 437/16, -499/24, 191/24, -6539/144, -29/24, 895/24, -493/8, 
  -73/2, -97/24, 383/24, -886/27, 376/9, -18, -287/108, 3055/36, 77/36, 
  310/27, 209/216, -6503/54, 1445/54, -28691/216, 739/24, -118/3, 3427/27, 
  3265/24, 217/108, 8345/54, 55/3, -1597/144, -10117/72, 803/144, 1003/216, 
  -1067/54, 64081/432, -23/54, 1339/48, -383/8, -9, -7/16, 4811/24, -953/8, 
  76/3, 1331/48, 2545/24, 1765/24, 187/16, -1133/32, -1067/48, 21/4, 331/6, 
  -1165/6, -1247/24, -247/2, 141/16, 10, 0, 0, 803/4, 711/4, -351/2, -891/4, 
  -125/4, -89/4, -4451/24, 1493/12, 1059/8, -277/8, -1267/16, 3841/48, 
  3193/48, -1565/8, -3149/48, 1312/9, -4435/16, 1879/96, -691/24, -3617/96, 
  -10039/96, 3205/48, 8509/48, -811/6, -4549/48, 1193/16, -4775/48, 19135/96, 
  1255/16, 389/16, -17809/96, -867/4, 2725/24, 2993/24, 219/4, 1485/8, 
  5543/36, -50, -5119/36, 673/18, 49/12, 317/8, 347/12, -97/4, -425/8, 
  -231/8, 37/48, 1127/48, -829/12, -2599/48, 1207/16, 39535/144, -28313/144, 
  -5779/72, 14135/144, 284/3, 3109/24, -545/16, -415/8, -3439/48, -323/16, 
  2042/9, -1333/144, -2419/48, -12473/144, -9/4, 105191/288, 23057/96, 
  -16081/36, -1399/8, -46/3, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 
  0, 0, 1, 1, 0, 0, 0, 0, 0, -1/2, -3/4, 1/2, 1/2, 1/4, -1, -1/2, 1/2, 0, 0, 
  0, 0, 1, 1, -1/2, -1/2, -1, 0, 1/2, 1/2, 1, 1/2, -1/2, -1, 0, 1/2, 1/2, 
  -1/2, -1/2, -1, -1/2, 1/2, 1/2, 0, 0, -1/3, -1/4, 5/6, -1/4, 0, -1/4, 4/3, 
  1/4, -1/4, 0, 3/4, 5/12, -1/4, -3/4, 0, -2/3, -3/4, 1/2, 1/4, 7/12, 1/4, 0, 
  -1/4, -1/4, -1/8, 1/4, 0, -1/8, 1/4, -1/4, -7/24, -5/12, -7/24, -1/8, 1/2, 
  7/24, 1/4, 0, 5/12, 1/4, 5/12, 1/8, -1/8, -1/8, -1/8, 7/24, 5/12, 1/8, 
  -7/24, -3/8, 0, -5/12, -1/4, 1/8, 1/8, 0, 0, 7/12, -3/4, -7/6, 17/12, 7/12, 
  -2/3, 0, -1/4, 13/12, 1/2, -2, 1/3, -7/12, -3/4, 5/6, 1/4, 2/3, 13/12, 1/4, 
  -7/12, -3/4, 0, -2/3, -3/4, 1/4, 0, 0, 0, -1/3, -3/4, -13/12, 7/6, 1/4, 
  13/12, 1/2, 1/3, -3/2, -7/12, -3/4, 5/6, 1/4, 1/3, 1, 1/4, -7/6, -2/3, 
  -3/4, 7/12, 0, 0, -3/8, -5/12, 7/12, 1/8, 7/24, 1/4, -7/24, -1/12, 1/8, 
  7/24, -11/24, 0, -1/8, 1/8, -1/4, 1/6, 3/8, 1/8, -7/12, -5/24, 0, 5/24, 0, 
  -1/6, 0, 0, 0, 0, -1/2, 3/2, 0, 0, 0, 0, 1/2, -3/2, 0, 0, 0, 0, -1/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 
  3/2, 1, 1, -1/2, -5/4, -1/32, 0, 0, -1, 23/16, 11/16, -47/16, 1, -5/4, 0, 
  0, 0, 0, 3/2, 1/2, 0, -3/2, 0, -4, 0, 0, 2, 0, 0, 0, -6, -4, 0, 4, 0, 0, 
  -2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -3/8, -41/8, 1/2, 35/8, 0, 0, -1/2, 0, 3/2, 0, 0, 0, 0, 0, 0, 
  0, -1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1/32, 0, 0, -1, 23/16, 11/16, 
  -23/16, 0, 1, 17/32, -1/2, -57/32, 0, -1/2, 17/32, 1, -105/32, 0, 0, 0, 6, 
  4, 0, 0, -3, -4, 0, 6, 3, 4, 0, -6, 0, 0, 0, -1/2, -1/2, 1/2, 0, -1/2, 1/2, 
  -1/2, 0, 1/2, 0, 0, -3/8, -41/8, 1/2, 35/8, 0, 0, 0, -3/2, 7/8, 0, -7/4, 
  -1/4, 0, 0, 0, 3/8, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 
  1/2, 0, -1/2, -1/2, 0, 3/4, 1/2, -3/4, -47/32, -11/16, 0, 63/32, 0, 0, 0, 
  0, -1/6, -1/3, 0, 1/3, 0, -5/24, 1/8, 0, 1/24, 0, 1/2, -3/4, 3/2, 1/2, 0, 
  0, 1/2, 1/2, -1, -19/32, 1/2, -1/4, 0, 0, 0, 0, 0, 0, -3/2, 7/4, 1, -3/4, 
  1/2, 1/2, 1/2, 1/2, 0, 0, -1/4, 0, -1, -1/4, -1/4, 3/4, 1/4, 1/2, 1, -1/4, 
  -1/2, 0, -1/4, 0, 0, 0, -3/4, -1/4, 1/2, 1/2, 2, 1/4, -1, 0, 0, 1/4, 1/4, 
  3/4, 3, 0, 0, 0, 0, 0, 0, 11/16, -1/4, 39/16, 41/16, -1/2, -5/2, 1/2, 0, 0, 
  0, 0, -1, -1/2, 0, 0, 0, 0, -3/2, -27/16, -3/16, 7/4, 3/2, -1/4, 3, 27/16, 
  -7/4, -3/2, 0, 0, 0, -1/2, 1/2, -3/4, 0, -1, -3/4, -1/4, -1/4, 0, 0, 0, 0, 
  0, 0, 0, -2/3, 2, -1, 0, 0, 0, -27/16, 2, -5/2, 3, -1, 0, 0, 1, 1, 0, -1, 
  0, 0, 0, 1/2, 1/2, -1/2, 0, -1/2, -1/2, -1, 0, 0, 1, -1/2, 1/32, -55/32, 
  7/32, -1/4, 1/4, -7/16, -9/32, 15/32, 0, 25/32, 0, 0, 0, 0, 0, -1/4, 3/16, 
  4, -9/4, 7/8, 0, -11/48, 1/4, -37/96, -37/48, 0, -1/4, 37/48, 0, 7/96, 
  13/8, 0, -71/96, 0, 1/4, 1/4, 7/16, 4, -7/16, -9/4, 5/8, 7/16, 0, -1/4, 
  7/4, -11/8, 1, -1/2, -1/2, -1/2, -4/3, 0, 1/2, 1/2, 5/6, 0, -1/4, 7/8, 
  -1/2, -5/96, 1, 0, 2, -2, -3, 1, 0, -1, 5/2, 0, -2, 0, 1/2, 5/2, -1/4, -2, 
  -1, -9/2, -5/2, 1/2, 0, 1, 3, 0, 15/2, -7, -7, 1/2, 0, -2, -1, 7/4, 3/4, 0, 
  1/2, -1/2, 0, 2, -1/4, -7/4, -2, 1/2, -2, 1, 11/2, 25/4, -5/4, 0, -1/2, 
  -13/2, 0, -3/2, -1/4, 23/4, 7, 0, 3/2, 3/2, -3/4, 5/4, 0, 0, -5, -1/4, 9/4, 
  1, -1/2, 1/4, -1, -1/4, 0, 0, -1/4, -1/2, -1/4, -1/4, 1/4, 1/2, 5/4, 1/4, 
  -1/2, -1/4, 1/2, 3/4, 1/4, 0, -1/2, -1/2, 3/4, -1/2, -1/4, 1, 7/4, -1/4, 
  -1, 1/4, 1/4, 1, 1/4, -3/4, -1, 1/4, -1/4, -3/4, -1/4, -1/4, -1/2, 1/4, 
  1/2, -1/4, 0, 1/4, 7/4, 1/2, -3/4, -1/2, -1/2, -2, -1/2, 1/4, 3/2, 1/4, 
  3/2, 3, -1/2, -3/2, -1/4, 0, 1, -1/4, -1/2, -3/8, 0, -69/8, 37/8, 13, 0, 
  45/4, -69/8, 1/2, 13, 33/8, 1/2, -3/16, 21/8, 37/16, 27/16, 15/8, 1/2, 1/8, 
  -3/2, 1/2, 27/16, 65/16, -5/16, -15/8, 5/16, -35/16, 3/2, -31/16, 0, 29/16, 
  39/16, 1/2, 5/4, -3/4, -101/24, -5/4, 13/4, -3/4, 3, 7/2, -7/2, -3/4, 
  -7/16, -17/16, 1/8, 1/8, 9/16, 15/16, 1/4, -1/8, -5/8, -15/16, -1, 5/8, 
  5/8, 3/4, -173/48, 0, 37/8, -7/8, -2, 1/4, -1/4, -1/4, 0, 0, 0, 3/8, 0, 0, 
  0, 0, 3/8, -1/4, 1/4, -8/3, 2/3, -3/16, 1, 5/4, 0, 7/2, 35/16, -7/4, -3/2, 
  -1, 83/48, -1/4, 3/4, 5/12, -1/3, 1/2, 7/24, 19/24, 3/2, -3/2, -17/24, 
  -1/2, -7/24, 19/24, 1/4, 1/8, -7/24, -19/24, -1/4, 7/24, -1/2, 5/12, 11/24, 
  -7/24, -1/8, 0, 0, 0, 2, 9/8, -3, -9/8, 9/2, -2, -3/2, -3, 29/48, 5, 3/4, 
  -23/4, 2/3, -3/2, -1/4, 9/8, -3/2, 9/16, -1, 1/4, 9/16, 0, -7/12, -1/6, 
  29/48, 37/12, -11/6, -11/4, 1/4, 2/3, -9/4, 1/3, -1/6, -1/2, 9/16, -5/4, 
  1/4, -1/2, 1/4, 1/2, -1/2, 0, 0, 1/2, 1/2, -1/4, -1/2, -9/16, 11/6, 
  -239/96, -4/3, 0, 0, 5/2, -113/24, 3/4, 35/24, -9/4, 71/24, 0, 101/32, 
  111/32, 3/2, -149/12, 5/24, 271/48, -3/16, -37/32, 145/48, 1/24, -7/16, 
  9/16, 7/12, -349/96, -95/96, -7/12, 3/2, 0, -1/8, -7/8, -13/24, 31/12, 
  -1/24, 0, 1/8, -7/24, -25/48, -85/32, 11/24, 101/96, 0, 5/12, 65/96, -7/24, 
  -1/8, 5/24, 21/32, -1/24, 9/8, 33/16, 5/4, -5/4, -29/12, 1, 3/4, 0, -27/8, 
  -7/2, 25/6, 19/6, 0, 9/4, -11/3, 0, -19/24, -71/32, -93/16, 23/24, -29/12, 
  -3/2, 17/12, 435/32, -1/2, -301/48, 19/48, 29/16, -49/16, 7/12, 11/8, 5/4, 
  -13/6, 3/4, 0, 7/12, -121/24, -7/2, 2/3, 35/12, 0, -1/4, 9/4, -11/3, 0, 
  -1/12, -21/8, -95/16, 1/4, -13/6, 0, -181/96, 427/32, -19/12, -265/48, 
  5/12, 25/16, 0, -45/16, 1/2, 0, 21/8, -13/8, -5/2, 0, 3/8, 3, 3, -5/4, -3, 
  -23/8, 43/8, -1/2, -1/4, 0, 3/4, 0, 17/8, 2, 0, 6, 9, 0, 1/2, 1, -5/4, 5/8, 
  -5/2, 1/8, -2, 3/4, 9/2, 39/8, -1/4, 0, 6, 0, 0, -11/4, -19/24, 5/8, 16/3, 
  3/2, -23/2, -5/4, -19/8, -15/4, 2, 7/12, -7/6, 7/12, 0, -5/6, 1/2, 7/12, 
  1/4, -1/6, 19/24, -25/24, 0, -13/8, 13/12, 5/6, -1/4, 0, 1/4, -17/12, -1/4, 
  7/12, 1/24, 7/24, -7/12, 5/24, 0, 5/6, 7/8, -1/4, -35/48, -1/3, -3/8, 
  19/48, -83/48, 0, -11/16, 0, 5/8, -1/24, -1/8, 3/16, 0, 1/8, -1/6, 5/8, 
  -1/24, -5/8, 5/24, -1/12, -3/8, 49/48, 1/4, 1/8, -1/2, 31/24, 7/16, -21/16, 
  -37/24, -19/16, -71/24, -1/8, 37/24, 5/3, -3/8, 3/16, 0, 3/8, 1/3, 5/8, 
  -13/24, -5/8, 5/24, -1/12, -3/8, 49/48, 1/4, 1/8, -1/2, 2/3, 43/48, -17/16, 
  -5/12, -77/48, -41/24, 1/8, 17/8, 11/12, 5/6, 41/48, -23/24, -5, 53/8, 
  19/16, 5, -167/16, -19/16, 61/16, 0, 0, -187/48, 7/2, -43/4, -53/16, 3/2, 
  -135/32, 397/96, -3/2, 449/96, -61/32, 61/32, -449/96, 0, -1/16, -259/48, 
  7/2, 1/3, -179/16, 0, -11/16, -135/32, 163/24, -3/2, 245/32, 19/32, -53/16, 
  -22/3, 61/32, -7/16, 43/8, -19/4, 1/2, -13/4, -125/48, 545/48, 11/4, -59/8, 
  -127/48, -613/96, -617/96, 21/4, -799/96, -27/8, 27/8, 799/96, 0, 7/12, 
  -5/2, -5/6, -637/96, -9/2, 41/8, -1/12, -1/4, -1/4, 1021/96, -3/4, -5/6, 
  23/12, 13/12, -7/6, -1/4, 7/12, 5/4, -11/24, -71/48, 11/24, -5/6, -1/2, 
  23/24, 1/4, 3/4, 1/4, -23/12, -1/4, 7/6, -7/6, -1/4, 19/12, 5/12, 3/4, 
  -7/12, 5/24, -59/48, 9/8, -25/24, -11/24, -7/12, -1/2, 1/2, 4/3, 19/16, 
  1/4, -1/8, -3/4, -1/4, 5/12, 0, -7/6, 2/3, -3/16, 5/6, 2, -7/24, -1/2, 
  5/24, 5/3, -2/3, -7/12, -1/8, -17/48, -1/2, -3/8, 5/12, 11/6, -11/12, 
  17/16, 7/6, -13/12, -11/6, 7/12, 2/3, 5/12, 0, -5/12, 1/2, 0, 0, 3/4, -1/4, 
  -7/6, -1/4, -5/4, -29/48, 25/24, 11/12, -1, -1/4, 7/6, 2/3, 3/4, 1/2, 
  -23/12, -1, 7/6, 1/2, -7/12, -1/2, -7/12, 7/4, 53/48, 31/12, -37/12, -7/4, 
  1/4, -1/3, -1/12, -7/6, 1/4, -3/4, -1/4, 1/3, 13/6, 1/4, -17/12, 5/12, 
  -7/6, -3/16, -5/12, 1/4, 0, -7/12, -7/8, -1/8, 13/24, 3/8, -1/3, 13/12, 
  5/8, -1/48, -3/8, 3/8, 7/24, -7/24, 0, -7/24, -1/4, -1/8, -1/6, 1/8, -3/8, 
  -1/8, 0, 0, 5/24, 1/6, 7/12, 5/8, 23/16, -29/12, 1, 3/8, 19/12, -11/12, 
  -1/8, -5/6, 1/6, 7/12, 5/2, -1/4, -7/12, 1, 0, 1/4, -1/4, 1/2, -1/3, -7/12, 
  -1/2, -77/32, 7/8, -23/12, -1/2, -7/24, 11/12, 0, 1/4, 389/96, -1/8, 5/12, 
  13/8, -47/24, 7/12, 5/8, 5/24, -1/4, -3/8, 23/96, -1/8, 7/24, 7/8, 0, 1/4, 
  1/2, -5/8, 1/8, 0, 0, 0, 1/2, -29/48, -3/16, -9/8, 73/48, -21/16, 5/24, 0, 
  -1/2, 0, -19/12, 1/2, 33/16, 7/3, -1/8, 3/2, 0, 33/8, 3/2, 3/2, -13/12, 
  -5/24, 9/8, -5/48, -1/2, -23/6, 5/24, 29/48, 0, 10/3, 13/24, -2, 197/48, 
  53/16, -53/48, -127/12, 7/8, 1/3, 18, -35/24, -29/24, -3/8, -77/48, 11/12, 
  0, 59/24, -11/24, 41/16, 5/2, 1, -3, 7/24, -5/6, -1/4, -1/3, 31/24, 1/4, 
  -1/12, -11/24, 1/8, -1/8, 1/2, 7/24, -3/8, -5/8, -7/24, 7/8, 0, -1/8, 1/4, 
  -1/6, 17/24, -17/12, -7/24, -13/24, 9/8, 7/24, -11/12, 0, 7/12, 7/24, 0, 
  -2/3, -11/6, 11/24, -5/6, -1/8, 19/24, 1/4, 3/8, 29/24, 1/8, -7/24, -3/8, 
  0, -7/12, -11/12, 1/8, 5/24, 0, 0, -7/24, -1/24, -1/2, 3/4, -67/16, 19/8, 
  -7/24, -137/48, 0, -1/6, -27/32, 5/24, 69/32, -167/48, 1/8, -19/32, 1/96, 
  41/96, -145/48, 163/96, 0, -15/16, -5/2, 517/96, 19/32, 61/32, -61/32, 1/4, 
  3/8, 5/12, -7/12, 1/8, 7/24, -109/32, -1/4, 11/48, 395/96, -21/8, 1/6, 3/8, 
  121/96, -1/8, -1/4, -3/8, -1/8, -1/4, 7/12, 133/48, -3/4, 13/12, -35/16, 0, 
  3/8, 5/12, -23/24, -13/24, 7/12, 1/8, -7/24, -1/4, 13/12, 1/8, 2/3, -5/4, 
  -1/4, 1/8, -7/24, -1/8, 5/12, 1/8, 3/8, -1/8, 1/2, -5/24, 1/8, -1/4, -7/12, 
  -7/12, -25/24, -13/24, 41/48, 9/8, 5/6, 1/2, -1/8, -1/4, -3/4, -1/4, 7/6, 
  7/6, 1/4, -7/6, -5/12, 0, 0, 0, 0, 0, 0, -2/3, 0, 0, -2/3, 0, 0, 0, 0, 0, 
  189/16, -189/16, 0, 0, 0, 0, 0, 0, 211/12, 0, 0, 0, 0, 0, 0, 0, 2/3, -1, 0, 
  1/2, 5/4, 1, 0, 0, -1/2, 0, 0, 2, 0, 5/4, 3/4, 0, 0, 1/4, 5/4, -1/4, 1/4, 
  0, -1/2, 3/8, 37/8, 1/4, -35/8, -3/4, 1/4, -1/4, 0, 1/2, 0, -1/2, 0, 1, 0, 
  0, -1/4, 1/4, 0, 0, -1/2, -3/2, 1/2, 1/6, 0, -1/6, 1/3, 1/2, 11/12, 1/2, 
  -11/12, 125/96, -39/16, 39/16, 0, -5/4, 0, -1/6, 0, 1/6, -1/3, -11/8, 
  -127/24, 1/2, 109/24, -125/96, -127/12, 3/2, 1/3, 1/2, -1/2, -1, 1, 3/2, 
  1/24, -1/8, 0, 1/8, 0, 1, -1/16, 1/16, -11/16, 0, 0, 0, 0, 0, 0, -13/8, 
  33/8, -27/8, -1, 0, 0, 1, 0, 0, 0, -1, 5/2, 0, -5/2, -1/8, 1, 0, 0, 5/8, 0, 
  -75/16, 75/16, -1/6, 41/4, -73/6, 0, 0, -1/12, 13/6, -11/6, 0, 0, -75/8, 
  -39/16, 21/16, 3/2, 0, 0, -1/4, 79/16, 1/2, -135/32, 13/12, 5, 3/2, 0, 0, 
  0, 0, -1, -1, 0, 0, 0, 0, -4/3, 0, 0, -27/16, 0, -4/3, 0, 0, -5/3, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 27/16, 0, -1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -605/48, 
  -39/16, 0, -4/3, 0, 0, -1, 1/3, 0, -1, -5/6, -3/4, -39/16, -7/4, 10, 11/2, 
  -121/48, 0, -2/3, 0, 0, -133/96, 487/96, -487/96, -3/8, -263/96, 35/8, 1/2, 
  0, 1, 0, -1, 1/3, 13/6, 1/6, 9/2, -14/3, -217/12, -1/3, -5/3, -1/6, 0, 0, 
  0, 0, 3/4, 1/4, 11/48, 0, 0, 0, -1, 0, 0, 1/2, 1/4, 0, 1/2, -13/12, 0, 
  -7/12, 0, 7/6, 0, -1, 1/32, 0, 0, 1, -23/16, -11/16, 47/16, 0, -1, -17/32, 
  1/2, 57/32, -1, 0, 0, 1/2, -4, 0, 0, 0, 6, 4, 0, -4, -3, -4, 0, 6, 3/4, 
  7/24, 3/4, 0, -1/4, 5/6, 5/6, 0, 1/2, -1/12, 0, 1, -7/6, 9/4, 2, 0, -3/4, 
  3/8, 35/8, 1/2, -35/8, -5/4, 6, -13/2, -7/8, 1/2, 1, 1/4, 3/4, -1/3, 7/12, 
  1/3, 1/3, -1/3, 1/3, 0, 7/6, 4/3, -15/8, -3/4, 0, 3/4, 5/6, 5/6, -5/6, 
  5/32, -1/96, 1/96, -4/3, 5/12, -77/16, 2/3, -159/8, 519/32, -13/32, -23/96, 
  23/96, 7/12, -73/24, 11/4, -43/8, -31/16, 3/4, -1/4, 1/4, 1, 1, 1/2, -1/2, 
  1/2, 2, 3, -3, 0, 757/48, 47/6, 1/32, 17/8, 2039/96, -153/32, 157/48, 1/3, 
  -25/96, -41/96, -5/12, 817/96, -2/3, 2365/384, -1301/384, 5/6, -5/32, 5/24, 
  5/12, -479/96, 7/3, 9/32, -145/96, -11/16, -89/96, 31/96, 9/32, -5/12, 
  -33/32, -7/12, 7/6, -7/8, -117/32, 0, 61/96, 15, -519/32, 85/96, 551/32, 
  15, -39/32, -519/32, 101/48, 15/16, 7/96, -7/96, -125/24, -1/32, 271/96, 
  -523/96, -343/96, -151/8, -131/24, 1/2, 113/24, -157/96, -1, 101/12, 1, 
  1/4, -25/12, 8/3, 13/12, -5/16, 23/32, -23/32, 1/2, 27/16, -27/16, -11/16, 
  7/8, 1/2, -7/4, -3/4, -17/32, -1/2, 1/2, 1/2, 0, 0, 757/48, 47/6, -35/32, 
  -51/32, 599/24, -35/16, -61/32, -39/16, 0, 1745/96, 47/6, -35/32, -41/16, 
  11/16, 2627/96, -119/32, 13/32, -5/16, 17/32, 19/16, 21/8, -15/4, 9/4, -1, 
  7/4, -11/2, -12, 7, 4, 3, -15/4, -1/4, 47/4, 15/4, -39/4, 5/4, -6, 2, -8, 
  15/2, 7/8, -35/4, -7/4, -43/4, 17/4, -109/16, 0, 39/4, 157/8, 13/12, -1/2, 
  -187/24, -5, -1/2, 5, 9/2, -1/2, -1/2, 5/4, 91/12, 15/2, 53/6, -5/2, 0, 
  -3/2, -37/4, -3, 4, -5/2, 1, -5/2, 3, 17/4, 1/4, 3/2, 19/2, 18, -4, 6, 0, 
  -1, 2, -107/8, -3, 107/8, 1, 2, -123/8, -3, 123/8, -10, -4, 11/2, 3, -11/4, 
  51/4, 1/4, -59/4, 1/4, 33/2, -45/8, 33/8, 2, -27/8, -3, -2, 3/2, -21/2, 
  -1/2, 2, -21/2, -3/2, 1, 19/2, -2, 0, 4, -2, -11/4, 27/4, -9/2, 11/4, 9/8, 
  19/2, 1/4, 59/4, -6, -23/8, 2, 13/4, -3/4, 3, 0, 1/2, 0, -1, -9/8, 1/16, 
  -3/8, -1/16, 31/4, 5/4, 0, -1/16, 1/2, 1/16, 1/16, -15/16, -5/4, -113/16, 
  -99/16, 3/8, 15/16, 15/16, -77/16, -27/2, 41/16, 2939/288, -1/2, 1/2, 0, 
  -1/2, 39/8, 0, 851/144, -79/16, 1/2, -1/2, 0, 1/2, -3, 1/6, 13/6, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 35/6, 0, 0, 133/96, -39/8, 305/96, 2939/288, -305/96, 
  0, -39/8, -75/16, 2939/288, 75/16, 1/2, -1/2, 1/2, 1/2, -3/8, 17/24, 0, 
  39/8, 1, 133/96, 209/96, -209/96, -71/72, -509/24, 1345/144, 1/4, -141/16, 
  -5/3, -5/2, 1/4, -137/12, 1, -1/2, 1/2, -1/2, -1/2, -10/9, 0, 277/24, -1/4, 
  0, 79/72, -1/12, -11/8, 8/3, 5/2, 0, 0, 0, 0, 0, 3/8, 15, 7/6, 0, 0, 0, 0, 
  61/24, 1621/96, -1/2, -1765/96, -16, 1669/96, 1925/96, 0, 3/8, -979/96, 
  131/32, -173/12, 153/32, 241/16, 253/16, 39/16, -381/32, 103/32, 253/16, 
  -39/32, -381/32, -225/32, 0, 0, 0, 0, 0, 1/2, -1/2, 41/8, 5/4, -33/8, 2, 
  3/2, 0, 0, 0, -1651/96, -457/32, 0, -41/12, 153/32, 39/32, 79/16, 55/32, 
  -135/32, 11/32, 1, -1, -5/2, -6425/108, 2423/72, -67/12, 3/2, 0, 1, -1, 
  5/2, 1873/72, -311/24, -159/8, 5/2, -9/8, -2, 9/8, -2/3, -2, 0, -19/6, 
  -3/2, -9/16, 9/16, -27/16, -575/72, -409/48, 3/4, -107/24, 0, 1/6, -1/3, 
  205/48, -131/48, 185/48, 0, 3/4, 5/3, 7/6, -69/8, 605/16, -153/16, 501/16, 
  -19/4, -377/16, -723/32, 0, 63/8, -803/16, -59/8, 45/2, 101/8, 31/8, -17/2, 
  33/4, 205/24, -287/24, -67/8, 145/16, -233/24, 7/2, 223/48, 27/16, -131/48, 
  -331/48, 0, -23/8, 283/24, 815/48, 1/8, -199/48, -1/8, 27/16, 27/4, -87/8, 
  -29/4, 131/12, 2/3, -33/2, 183/16, 9, 19/2, 211/24, 27/16, -55/8, -413/48, 
  27/16, -5/6, -19/8, 1/2, 29/12, 1/2, -15/4, 171/16, -11/4, 9, -15/4, 45/16, 
  -13/12, -401/48, 9/16, -413/24, 1013/48, 463/48, 257/96, 161/48, -779/48, 
  3281/64, -175/96, -71/24, 21/16, -254/3, 19/8, 5/16, -3397/64, 12101/288, 
  -3/16, 10743/64, -12155/288, -3673/32, 11143/192, -91/12, -12707/144, 
  -107/24, -1231/144, 10033/96, 12167/144, 0, -27/16, 11129/288, -3/16, 
  55/16, -13079/288, -7/4, 3473/64, -91/12, -22939/288, -107/24, 14725/192, 
  -793/144, -69/8, 22561/288, 2/3, -4/3, 4/3, 51/16, -451/24, 1421/96, 7/6, 
  -13/4, -1/12, 1/4, -95/24, 1/3, -539/32, 1/3, -3, 21/8, 32/3, -67/8, -32/3, 
  71/12, -85/24, -217/48, 45/4, 5/12, -357/16, -9/16, 1301/48, 89/6, -11, 
  -5/3, 5/3, -25/16, -16/3, 41/24, 49/24, 2/3, 7/4, 77/12, -1/4, -3/8, 27/16, 
  -15/8, 1/8, 5/8, -3/2, 5/24, -1/2, -25/32, 25/32, -11/96, 1/3, 1/6, -1, 
  23/24, -21/16, 3/8, -1/2, -11/96, 1/4, 1/8, 47/96, 9/32, 1/8, 7/24, 1/96, 
  7/24, 7/12, -7/12, 1/4, -1/4, -23/32, -37/96, 7/16, 7/48, 23/32, 0, 7/48, 
  0, -7/12, 0, 7/12, 5/12, -1, -11/6, 15/2, 6, 1/2, -17/4, -27/4, 1/4, 7/12, 
  119/48, -57/16, 11/32, -109/48, -53/32, -5/6, 161/24, 35/12, 1/4, -35/16, 
  61/48, 289/96, 127/48, 7/24, -1/2, -1/12, -1/4, 7/12, -9/4, 0, 1/3, -3/8, 
  -13/16, 1/96, -11/8, -29/32, -5/6, -1/4, 47/24, 1/4, -37/16, -5/24, 97/96, 
  35/16, 7/24, 7/12, 5/8, -17/16, -25/12, -31/16, 3/4, -5/6, -5/4, 53/32, 
  1/4, 3/16, -7/48, -19/16, 415/96, 2, 113/32, -491/72, -17/32, 491/72, 
  -7/12, 7/12, 39/64, -45/16, -9/16, 239/64, -23/16, -17/64, -155/64, 
  -455/64, 745/64, 2171/192, 39/64, -45/16, -9/16, 33/8, 0, -23/16, -17/64, 
  133/64, 287/64, 745/64, 331/96, 11/108, 551/144, -11/108, -911/144, -1/4, 
  1/4, 7/12, 19/16, -25/48, -7/8, -3/8, -47/48, 43/8, 1/6, -151/24, 43/12, 
  257/24, -1, -5/2, 7/4, 1/2, -5/4, 0, -1, -65/16, 26/3, 77/48, -1/3, 
  -193/24, 7/12, -1, -57/16, 1/3, 0, 0, 0, 2/3, -7/12, -2/3, -7/12, -3/8, 
  -83/48, 5/8, -7/16, 11/16, 5/48, 7/8, -19/24, -19/48, -27/16, 1/6, 0, 7/4, 
  0, -323/96, -157/48, -1/3, -7/16, -1/2, 49/24, 0, -7/48, 323/96, 185/96, 
  23/16, -53/32, 31/32, 175/192, 575/192, -901/96, 1417/256, -233/256, 0, 
  -905/384, 295/32, 65/4, -21/4, -21/8, -7049/192, -2273/192, -2421/128, 3/2, 
  3/4, 5/8, 39/16, 251/32, -79/32, 131/16, 1781/96, 199/48, 343/24, -81/16, 
  -1553/96, -9/8, -223/16, 11/48, -131/32, 271/16, -25/6, 83/96, -143/64, 
  -5/6, -5/4, -613/192, 53/16, 3/4, 1499/192, -4315/768, -7/12, -1/2, 
  763/768, 0, -4627/384, 79/64, 157/64, -1/4, 0, 625/128, -919/192, 0, 91/96, 
  -2209/768, 7/12, 419/96, 0, -175/192, -819/128, -4807/384, 109/64, 157/64, 
  -1/4, -671/192, 401/128, -1147/192, 949/96, -1289/256, -1849/768, 1/12, 
  1593/256, 0, -5/12, 1489/1152, -4783/384, -4, -113/48, 5/2, 65/64, 193/128, 
  1/12, 997/96, -89/64, -2233/768, 0, 6721/768, 1/2, -8827/192, 707/96, 
  6367/192, 117/32, -671/96, 39/32, 8179/192, 213/32, -5785/64, -455/32, 
  5489/64, 1/4, 97/2, -29/16, -8855/384, -355/8, 101/32, 355/8, 0, 10739/384, 
  4229/96, -1193/384, -4501/96, 449/384, 9/64, -455/96, -45/4, 371/64, 
  1513/96, 37/16, -611/192, 369/32, -1081/96, 21/8, -4399/128, -21/4, 
  -1193/384, 4169/192, 235/12, 21/16, -79/4, -45/4, 13/8, 617/48, 1/2, 
  -301/64, 369/32, -871/96, 21/8, 26509/384, -279/32, -34703/384, 3281/192, 
  20467/192, 13/16, 115/8, 583/48, -151/24, -261/16, 13/48, -343/24, 
  -1461/32, 7/8, -1/4, 12511/576, 27/4, -155881/3456, 1/4, 631/48, 4289/384, 
  0, -14095/576, 211555/3456, -595/48, -39/16, -2/3, -93/32, -733/192, 
  -149/48, -197/64, 3/8, 1609/384, 2515/384, 197/64, -1193/384, -13489/576, 
  -25/32, 211555/3456, -41/16, -2/3, -745/192, -11/3, -1129/48, 2827/384, 
  359/24, 1975/384, -29/12, 193/192, 83/6, 8203/384, -3/4, -35/32, -33/32, 
  -23/16, 13/3, 199/48, 2549/96, 17/32, -47/24, -147/16, -35/16, -17/16, 
  505/48, 5/8, 33/32, -5/8, 101/24, 211/48, -357/32, -109/48, 0, -97/32, 
  433/48, -17/16, -1271/96, -47/6, 53/12, 55/32, 425/96, -53/4, -397/24, 1/2, 
  -71/48, -685/96, 409/24, 65/24, 1865/96, 277/32, 97/32, -1041/32, -11/3, 
  5/4, 259/96, 167/32, 4, -1129/96, -9/4, -265/96, -623/96, 1129/96, 65/24, 
  -203/96, 207/16, 5, -547/16, -529/96, -6, 163/8, 6, 3, -1727/48, -7/24, 
  -209/24, 59/2, 3, 13/4, -7, 3/2, -113/8, -15/2, 5/2, -15/4, -65/24, -8, 
  71/6, -79/4, 0, 2, -3, 0, 69/8, 0, -10, -6, 4, -2, -291/16, 0, 47/2, -13, 
  -37/8, -13/8, -47/8, 4, 145/8, 69/8, -291/16, -13/2, 0, -77/8, 103/8, 
  133/8, 0, 5/4, -335/8, -57/16, 119/16, 0, 565/16, 0, -2, 9/2, -125/16, 
  -17/2, -349/16, -3/2, -77/24, 57/4, -2, -1/4, -7/8, -75/8, -89/16, 63/4, 
  137/16, -57/8, -33/2, 9/4, 41/64, 263/64, -527/192, -9, 111/32, 67/32, 
  -523/128, -239/24, -137/128, 47/8, 1/6, -1/16, 683/384, -37/12, -2767/384, 
  -181/8, 1919/432, 2417/144, -1/6, -2843/432, -2441/144, 53/36, -7915/288, 
  -4933/288, 21181/864, 19813/864, -185/48, -177/8, -47/4, 1429/48, -17/8, 
  29/8, -131/24, -37/8, -11/8, -7/3, -11/12, -11/2, 29/8, -13/24, 15/8, -5/8, 
  13/8, 5/8, 0, 5/12, -643/48, -9/16, -169/16, 1271/64, 217/16, -353/192, 
  -15431/192, 9/2, -10535/192, 76247/1152, 70985/384, 1897/144, 22933/576, 
  -25399/1152, -4129/16, -24157/576, 27943/384, 9727/192, -72179/1152, 
  105/16, -91135/384, 23873/384, 70097/384, -10543/192, 2971/144, 20537/576, 
  0, 8821/384, -26551/1152, -4129/16, -22841/576, 27943/384, 139/48, 
  -67679/1152, 105/16, -71497/384, 25229/384, 21883/128, -3345/64, 2971/144, 
  18953/576, 0, -6347/384, -32383/1152, -15525/64, -19853/576, 9111/128, 
  31/12, -29/12, 17/18, 3283/96, -335/24, -2725/96, 199/18, -221/48, 137/24, 
  -3637/96, 943/48, 565/108, 97/36, -175/24, -2107/432, -49/2, 70/9, 2, 
  3077/864, 289/108, 133/48, 35/2, -2, 65/24, 3/4, 731/144, 357/8, 2/3, 
  -695/48, -1055/24, 73/8, -3133/72, -301/8, 575/12, 623/16, -983/48, -31/8, 
  -55/4, 1463/48, -11/8, 725/144, 2/3, -227/48, -23/16, -297/8, 223/24, 
  635/16, 25/12, -5/3, -77/6, 715/24, -3/4, -3/4, -17/3, -113/12, -11/12, 0, 
  0, 0, 7/6, -11/12, -17/12, 59/12, -13/6, -1/12, -5/3, -1/12, -53/12, 1/2, 
  1/4, -3/4, -1/4, 0, -27/8, -299/48, -9/16, 45/8, 20/3, -5/4, 15/2, 81/16, 
  -169/24, -33/8, 1/8, 7/8, -1/8, -71/16, 6275/1152, -67/16, 72121/384, 
  -2067/128, -21979/128, -43/8, -565/18, -27599/576, 221/16, 6011/64, 887/96, 
  -5495/48, 135/32, -121/192, -13/3, -41/48, 8003/96, -1, 41/32, 59/48, 
  41/48, -1/16, 43/16, 45/8, 1709/384, 1429/96, -663/128, 1623/128, 
  -1699/384, -311/48, 2091/128, 77/24, 751/128, -49/16, -109/24, -4/3, 
  -55/128, 3/16, 381/64, 3/16, -707/128, -1891/192, 71/48, -2023/192, 221/48, 
  0, 0, 73/48, 1/12, 37/144, 67/16, -87/128, -281/32, -565/128, -3/4, 127/48, 
  77/192, 2/3, 87/128, 3/16, 1909/128, 329/64, 0, -4405/48, -2665/32, -53/16, 
  10931/96, 10289/96, 129/32, 4361/48, 121/32, -2423/24, 1/4, -30025/192, 
  -1793/24, 1519/96, 18071/96, 161/64, 17/12, -3967/48, -53/16, -7/4, 
  5137/48, 1/2, 4313/48, 121/32, -4885/48, 1/4, -4173/64, -1903/24, 53/3, 
  6617/32, 227/192, 281/12, -37/3, -389/96, -1/9, 23/6, 5519/108, -1/9, 3, 
  89/16, -3855/128, -77087/1728, -125/96, -11/4, 446/27, -955/1728, 
  -4751/128, -1565/72, -36317/1152, -35/9, -249/8, -715/96, -17885/1152, 
  1447/216, -773/1728, 8495/128, 725/3456, 2051/108, -483/16, 1721/72, 
  11617/384, -1/4, 705385/3456, -3443/128, -218051/1152, -128737/3456, 
  -78001/3456, -11501/576, 61393/3456, -115/36, 3, 37/12, 433/144, 
  -6025/3456, 17/8, -17267/3456, 97/36, -11/4, -7/12, -31991/3456, 1/4, 7/24, 
  19/24, 9/4, 1/2, -1/8, -1/8, -2, 1/6, 103/36, 1/4, 1/8, -7/24, -19/24, 
  -3/4, 5/2, 59/72, 5/12, 19/24, 155/24, -1/8, 0, 0, -1/2, 0, -1/3, -151/32, 
  727/96, -9/4, 7/2, 521/96, -121/16, 0, 1/3, -3/2, 1/3, -173/48, 65/32, 
  -83/24, 1567/96, -49/24, -3/8, -2219/192, 0, 529/96, -491/48, 2, -7/4, 
  -49/16, 4, 727/96, -367/96, 1/2, 35/16, 71/16, 0, 0, 47/48, 0, 5/2, 19/16, 
  -3/2, -5/12, -19/16, 3/2, -25/12, 0, -43/12, 9/16, -9/4, 9, -29/12, 1/3, 
  43/6, -5/2, 5/8, -17/12, 13/8, -1, 5/2, 1/4, -163/24, 1, 9/8, 0, 9/8, 
  18193/288, -91/144, 25/24, -14407/144, 71/18, -43/24, 4015/288, 1, -5/6, 
  -475/288, 18331/288, -1855/288, -9757/288, 3/8, -1183/288, 30233/576, 
  4463/144, 21403/192, -2875/288, -167/48, -42017/576, 539/288, 3823/144, 
  751/288, -39/4, 247/96, 2171/288, 1/3, 5/4, -19/12, 941/48, -41/48, 
  -199/48, -905/48, 9/4, 5/6, 5/24, 695/96, -3/8, -1/6, -1/4, 17/12, 1/4, 0, 
  -705/32, -71/48, 1393/96, 717/32, -1/4, -251/48, -3/4, -1/6, 23/12, 1/2, 
  -7/6, -1/2, 7/12, 5/4, -31/48, -115/72, 331/144, -5/6, -1/2, 11/36, 1/4, 
  3/4, 1/4, -13/6, -1/4, 17/12, -7/6, -1/4, 131/96, 5/12, 2/3, 19/32, 23/32, 
  7/12, -19/12, 5/4, 19/72, -11/16, -7/24, 13/24, 0, 67/72, 0, -7/24, 37/96, 
  53/192, 9/8, -15/4, 37/72, -887/576, -3/2, 5/72, 5/48, 65/64, 1/4, 13/48, 
  0, -19/12, 1/8, 1, 4, 23/12, -199/24, -67/8, -27/8, 63/8, 23/8, 4, 14/3, 
  -5/2, 121/24, 13/4, -25/8, -69/4, -24, 13/2, 79/2, -65/24, -11/12, -41/8, 
  1/12, 1, 3/2, -15/8, -9/2, 111/8, 41/2, 11/12, 3, -9/8, -23/4, -2, 1/24, 
  5/2, 1/2, -7/12, 179/96, -31/12, 1/12, -137/96, 1/4, -43/24, -7/4, -1/24, 
  89/96, 9/8, 3/4, 1/8, -5/12, -37/16, 16/3, 23/96, 11/3, 3/4, 5/12, -179/24, 
  -29/24, -1/8, -7/24, -35/16, 0, 0, 1121/24, -97/32, -1097/24, 419/72, 
  1097/24, -1121/24, 5/2, 19453/192, 2105/16, -265/16, 7/12, 1, -18359/96, 
  -19453/192, -4121/48, 2093/192, 4657/32, 1087/192, -329/16, -119/108, 
  329/16, -479/144, -313/16, 1285/32, 3/4, 9/16, -31/2, 19/8, 1/4, -617/32, 
  237/16, -627/32, 65/16, -133/16, 617/32, -77/16, 7/24, -17/24, 7/6, 
  -191/96, -17/6, -11/4, 5/48, 7/6, 11/24, 1/2, -31/24, -11/24, -29/24, -1/4, 
  11/48, -7/24, 17/24, 5/4, 197/48, -261/32, -65/48, 5/12, -73/96, 8, -13/48, 
  0, 0, 57/16, 0, 7/12, 389/288, -367/36, -1/16, -11/6, -653/384, 93/16, 3/4, 
  -17/18, -5/6, -1025/384, -11/8, 1697/288, -119/24, -79/72, 1/4, 5/4, 
  -61/32, 0, -797/576, -1291/1152, -383/96, 95/72, -1127/288, -3/2, 679/288, 
  843/64, -17/24, -1271/192, 67/144, 21/32, 0, -475/144, -7/12, -365/192, 
  -893/96, 49/24, 2497/192, -47/32, -29/24, 0, 5/3, 787/96, -2351/48, -47/32, 
  0, -5/8, 0, -7121/96, -4331/64, -47/8, -7717/384, 8221/192, 77/16, 4893/64, 
  87/16, 1243/24, 3/2, 22783/384, 0, -61/32, -625/12, 1/2, -20/3, -2521/576, 
  -11/16, 341/48, 5113/576, -223/24, -7/12, 7631/576, 21/16, 229/48, -65/6, 
  1/4, 0, -39/4, -1633/576, 1/8, 59/12, -1961/576, -11/32, -35/48, 4, 59/8, 
  707/432, -5375/288, 6373/162, -10457/576, 691/96, 95/32, -27/8, -1697/96, 
  -1/2, 1/4, 103/32, 515/96, 23/6, -1061/96, -101/24, -13/6, -31/24, -2/3, 
  -1/4, -51/16, 1/16, -215/96, 201/32, 15/4, 0, -5/8, -3/8, 0, -111/32, 
  857/96, -1/4, 17/4, -5/16, -7/6, -201/16, 3/8, -27/16, -23/96, -221/48, 
  -1/2, 15/16, 0, -23/24, 7/12, -5/12, 0, -11/8, 37/6, 3, -755/48, 59/4, 
  -1/24, 151/12, -89/24, -11/4, -149/6, -4/3, 17/8, 1/2, -1/6, 0, -1, -1/2, 
  68/3, -137/48, 11/8, -109/24, 371/48, 7/8, 0, -11/16, -227/24, -55/8, 
  -47/4, -3, -83/8, 29/12, -991/48, -9/2, -185/24, 203/48, 101/24, 551/24, 
  317/16, 391/96, -261/8, 11/24, 25/6, -109/96, -623/96, -61/96, 11/6, 
  269/48, 9/4, -17/6, -71/48, -1/4, 0, -223/24, -13/8, -59/16, -41/8, -1/2, 
  0, -5/4, 139/8, -3, 263/48, -155/24, 293/48, -191/48, 107/24, 19/8, -83/4, 
  349/48, 2225/96, 213/8, 1121/96, -71/24, 133/48, -319/12, -157/48, -1/3, 0, 
  395/384, 89/24, 73/48, 107/48, -103/24, 11/8, -1/8, 19/12, 49/384, 
  -107/192, 31/24, 47/12, -151/48, -41/6, 10/3, -201/8, 4, 19/12, 55/48, 3/8, 
  109/48, 16/3, -35/16, -37/4, 7/24, -5/4, 26/3, 1/2, 1/4, 5/48, 25/12, 
  -7/12, -17887/288, 67/16, 19/24, 20387/288, 1/12, -11/24, 643/144, 13/12, 
  317/144, -17929/288, 421/144, 643/72, -3/8, 263/144, -6065/1152, 
  -10843/216, 3/2, -292421/1152, -5789/576, -53/16, 16675/1728, -107/48, 
  -79/16, -479/144, 15535/288, -143/48, 61/32, -653/144, 0, 61/24, 425/24, 
  -55/8, -437/24, 23/6, 7/12, -703/72, -1/4, -29/12, -201/32, 125/24, -13/12, 
  -9/8, 2015/96, 3/8, -905/144, -383/48, -23/8, 323/48, -11/2, -59/8, 11/4, 
  653/48, 2747/288, -365/144, -895/32, -85/12, 27/8, 749/96, 0, -7/4, 4/3, 
  -3/16, 35/12, 3/8, 263/48, -2, 87/8, 2/3, 23/12, -11/6, 73/12, 31/24, 
  -47/24, 1/12, 1/2, -77/12, -1/4, -3/4, 29/8, 11/12, 29/16, 7/6, -1/6, 
  -29/8, -11/12, 11/12, 1/6, 0, -1/6, 47/16, 779/24, -3/2, -117/16, -149/6, 
  23/8, 19/4, 3/16, 665/24, -3, 22771/192, 263/3, -35/8, -2537/16, -895/192, 
  7/4, -709/16, -17/16, -71/24, 613/48, -9/4, 31/24, 2435/48, -5/12, -11/4, 
  199/96, 3355/64, 41/8, -3129/64, 7/8, -317/96, 16837/384, -1/96, 
  -41311/384, -2589/32, 565/48, -6619/192, 5/2, 12703/96, -451/96, -391/96, 
  -1/2, 1217/192, 181/96, -115/54, 2, 113/27, -2, -37/18, -7/12, 74831/5184, 
  -1/4, -5455/216, -68351/5184, 943/72, 13/12, 7/8, 102857/5184, -3/8, 
  121/54, -19/3, -269/36, 31/6, 1/4, -73199/5184, 38159/1152, -29671/3456, 
  54869/5184, 13/3, 1/2, -7/3, -239/144, 53/24, 259/48, 995/16, 0, 0, 1, 
  -7/6, -1, 0, 205/12, 25/4, 115/12, -249/4, -9/4, 3/8, 85/32, -35/8, -13/12, 
  1/3, -107/3, 5/3, 1/3, 0, 0, -4/9, -7/18, 4/9, -213/32, 1/6, 0, 623/96, 
  289/48, 25/24, 253/24, -11/6, 283/24, 43/12, 13/32, -341/48, -55/16, 
  -23/96, 185/48, -231/32, -2207/96, -673/96, 589/16, 157/24, -3/4, 119/16, 
  55/16, -1/4, -87/8, -4363/48, 353/6, -71/16, 4343/48, -13/8, 23/8, 21/8, 2, 
  563/8, -173/48, -214/3, -449/12, -5039/48, 93/8, 57/8, 2939/288, -57/8, 
  1/2, 0, 0, 1/2, 229/96, 93/16, 599/96, 0, -551/96, -3013/144, -145/12, 
  1003/48, 3595/48, -3781/48, 2269/24, 43/48, -1133/12, -1733/24, -799/48, 
  403/36, 143/24, -131/12, -1051/16, 2759/48, 0, 0, 0, 0, 0, 0, 0, 1123/144, 
  389/48, 0, 30425/576, -3/8, -30329/576, 67/96, 0, 1/6, 75/16, 1/24, 0, 0, 
  0, 1123/144, 135/16, -40259/384, 0, 10355/384, 1177/144, -2393/128, 
  -14369/128, 0, -10/9, 1, -2/9, 13/18, 799/24, -2, -7/18, -1/4, -1, 7/12, 
  13/12, -14/3, 3193/576, 1/6, 0, -85/27, 157/72, -127/36, 16457/432, 
  -112/27, 235/32, 527/144, -527/144, 219/32, -22, 43/8, 59/96, -55/16, -1/6, 
  -125/6, 71/16, -7/12, 1/16, 7/16, 13/12, -5/4, 155/8, 155/8, 7/3, -163/8, 
  -12, 75/4, -83/12, 134/3, -10, -315/4, 133/24, -107/4, 161, 737/8, 3/2, 
  -695/8, 162, -63/4, -501/8, 27/4, 529/8, 22/3, 439/8, 597/8, 41/4, -423/8, 
  -179/24, 375/8, 8, -235/2, -401/8, 19/8, -113/16, -197/192, 1787/96, 37/4, 
  -82/3, -47/192, 2273/96, -1225/64, 4/3, 695/32, 799/24, 2/3, 0, 1/6, 1/2, 
  -799/48, -1/18, -37/36, -1217/64, 49483/1152, -17/4, -13/4, -383/192, 
  47935/1152, 815/384, -69/8, -2159/384, 655/108, -163/18, -1, 25/4, -1/2, 
  -7/36, 77/36, 95/216, -31/12, -233/36, 1/2, -35/12, 353/32, -271/96, 
  -11143/192, -17/4, 703/96, 1/4, -13/8, -31/12, 7/4, 9/8, 829/48, 3379/192, 
  -4015/192, -47/24, 227/16, 3/2, -207/8, 223/9, -179/16, 1/6, -13/6, 
  22825/144, -65983/1152, -161581/576, -11099/144, -15839/576, 22879/144, 
  -55831/1152, -325223/1152, -2995/48, -43009/1152, 1/6, -1/4, 3193/576, 
  1/12, 1, -7459/864, -28853/1728, 9/16, -3193/1152, -66383/1152, 1399/96, 
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  -1/6, 35/24, 2/3, -11/12, -1/2, -1/2, 0, 1/2, 1/2, 1/12, 5/12, 0, 0, 2/3, 
  0, 0, -2/3, 1, -1, -1/2, 0, 1, -1/2, 0, 0, 0, 0, -1, 8/3, 4/3, 0, 5/3, 1/3, 
  4/3, 0, 0, -1/3, 0, 0, 0, 2/3, 0, 0, 0, 1, 0, 2, -7/6, -2/3, 0, 4/3, 2/3, 
  4/3, 2/3, 1, 0, 0, 0, 4/3, -2/3, -4/3, -4/3, -8/3, -8/3, -2/3, 0, 0, 0, 0, 
  1/3, 2, 1/2, -1/6, 1, 0, 0, -1/3, 0, 3, -1/2, 0, 3/4, -2/3, 0, 4/3, 0, 
  -2/3, 0, 0, 2/3, 0, -9/8, 6, -19/3, -49/8, 3/8, 1/2, 0, -1/2, -45/8, -2, 3, 
  0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 0, 0, 0, 0, -1/9, 0, 
  -1/9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 4, 0, -10/3, 0, 0, 
  -2, 0, -2, -2, 2, -1/6, -11, -12, -11, -8, 4, 11, 11, 0, 21/2, 12, -4, 
  -21/2, 0, 1/2, 3, 0, 5, 0, 0, 3/2, -9/2, -1/4, 19/6, 0, 0, 3, -3/2, -15/2, 
  10, 15/2, 0, 5/6, 0, -1, -1/4, 1/2, -3, 0, 6, -3/2, 2, 1/6, 11, 0, 4/3, 
  -4/3, -11/6, 17/6, 1, -4/3, -4/3, 1/6, 5/4, -1/4, -2/3, 2/3, 5/3, -2, 1/2, 
  -2/3, 3/2, -1/2, -1/2, 0, -1/3, 2/3, 1/3, -2/3, -1/3, -1/3, 6, -3, 0, 1/2, 
  -1/3, -4/3, 2/3, -41/12, -1/4, -2/3, 2/3, 7/12, 1/4, -5/3, -1, 5/12, 1/3, 
  -2/3, -1/4, 0, -2/3, 3/4, 2/3, -1, 23/12, 0, -1/3, -2/3, 0, 1/6, 1/2, -2/3, 
  2/3, 5/12, 2/3, -7/6, 3/2, -5/4, -1/3, 7/6, -1/12, -1/4, 2/3, 1/48, -1/6, 
  1/12, 3/2, 5/4, 0, 11/16, 11/16, -1/2, 1/6, -161/48, 3/2, 8/3, 2, 5/6, 
  -11/6, 77/24, -17/24, 0, 155/48, 19/6, 2/3, 0, -31/6, 0, 1/6, -155/48, 
  -79/48, 0, 215/48, -73/48, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/3, 1/2, -1/3, 
  -1/2, 0, -1/2, 0, -1/6, -1, -1/2, -1/2, 1/3, 0, 0, 0, 1/2, -4/3, -1/2, -4, 
  0, 5/3, -1/2, -2, 1/3, 1, -3/2, 11/6, 3/2, 0, -1/2, 7/6, 1/2, -5/2, 3, 
  -1/2, -2, 5/2, 0, -3/2, -2/3, -16/3, -4, 49/16, 57/8, 11/2, 0, -145/16, 
  -21/2, 1/4, 14/3, -89/8, -105/16, 3/2, 35/24, -8, 25/48, 2, 0, -11/16, 
  -7/4, 0, -55/16, 3/2, -5/3, -8, -1/4, 27/16, -103/48, 0, 4/3, 0, -27/16, 
  223/48, -4/3, -2, 187/48, 145/48, -4/3, -263/24, -259/24, 0, 16/3, 0, -1/6, 
  -1/9, 0, 0, 2/9, 0, 0, 1/2, -2, 0, 2/3, 0, 11/18, 8/9, 2/9, -2/3, 1/2, 
  -7/9, 0, 13/18, -7/4, 1/4, 1/9, -5/2, -7/3, 31/27, -95/54, 41/36, 239/135, 
  23/54, 5/54, 7/6, -109/108, -17/18, 41/36, -23/10, -299/180, 733/270, 
  1127/540, 5/3, 0, -1/2, -1/2, -1/18, 0, -7/9, -21/20, 7/4, 4/5, 22/9, 0, 
  7/4, -13/15, 13/6, 16/3, 16/3, -16/3, 0, 0, -8/3, 4/3, 8/3, -28/3, 0, 
  -16/3, 0, -16/3, 0, 8/3, 0, 0, 0, 0, 8, 0, -4, -4, -16/3, -16/3, -8, 4, 0, 
  0, 0, 0, 0, 0, 4/3, -2/3, -19/12, 1/3, -11/12, -8/3, -5/3, 1/24, -8/3, 8/3, 
  34/9, -8/3, -1/6, 95/24, -17/6, -23/6, -77/12, 4/3, 73/12, 119/18, 1/6, 
  113/24, -7/2, -943/144, 59/24, -17/6, -29/12, 4/3, 41/12, 95/18, -1/6, 9/4, 
  -7/2, -937/144, 59/24, 1/2, 23/6, -1, -79/24, 4/3, 1/9, 1/3, 2/9, 0, -1/2, 
  73/54, -125/54, 35/18, -2, -25/27, 1/18, 0, 1/6, 23/18, 253/270, -11/3, 
  -59/135, 14/9, -1/2, 2/3, -1/2, -2/3, -7/6, -3/2, 0, -1/2, 0, -1/3, 14/9, 
  3/2, 4/3, 2/3, 2/3, 7/6, 1/2, 0, 1/6, -2/3, 0, 0, 0, 1/3, -5/3, -1/2, 3/2, 
  1, 8, 11/2, 0, -17/6, -3/2, -7/12, 41/12, 1/2, -8/3, -32/3, -8/3, 2/3, 
  -7/4, 5/3, -5/12, 5/3, 1/2, -3/2, -5/6, 0, 2, -1/4, 7/2, 13/6, -17/12, 
  -1/2, 0, 0, 1/2, 0, 1/3, 1/2, 3/4, -5/12, 0, -3/4, 1/12, -2/3, 0, 0, -7/3, 
  -53/12, -37/12, 5/6, 43/12, -1/3, 9/2, 5/6, 5/6, 1/2, -5/6, -1/2, -1/4, -1, 
  1/2, 31/6, 1/6, -1/2, 1/2, 1/2, 1, -19/72, -41/18, -41/12, -97/72, 29/18, 
  2/3, 1/12, 0, 0, 103/72, 419/144, -1/4, -1/12, -1/3, -31/36, 7/36, -3/4, 
  11/18, -41/18, -17/36, 0, 4/9, -2/3, 0, 4/3, 0, 2/3, -85/54, -7/5, 0, 
  197/108, 299/360, -1/36, 0, 109/72, -47/108, 13/108, 1/2, 0, -13/12, 0, 0, 
  1/4, -11/12, -3/4, 1/3, 11/12, 3/4, -1/3, 0, 0, 2/3, 3/4, 3/4, 0, 1/6, 
  -2/3, 11/12, 1/2, -2/3, -1/2, -1/4, -1/2, -1/2, -5/12, 0, 0, 0, -11/12, 
  -1/2, 1/4, -4/3, 1/3, 3/2, -14/9, 1/4, 0, 7/6, 1/6, 2/3, 0, 2/3, -1/6, -1, 
  0, -7/6, -2/3, 0, 0, 0, 0, 2/3, 0, -13/4, -3/2, -3/2, -11/4, -2, 5/6, -1, 
  0, 0, 19/6, -1/6, 13/6, 31/4, 37/12, -2, 3, -11/3, -4/3, 2/3, 25/12, -3/4, 
  -1/4, 13/2, 11/4, 0, 43/12, -97/12, -8/3, 7/6, 11/4, -21/4, -1/2, -1/4, 
  2/3, 3, 3/4, -2/3, 17/24, 7/8, 1/6, 0, 3/4, -2, -1/3, -1, -25/12, -7/6, -1, 
  -1/3, -2/3, -9/2, -3, -5/2, 9/8, -1/2, 1, 1, 11/6, 1/3, 11/3, -7/4, 1, 
  -1/3, 0, -1/3, 61/36, 13/12, 11/12, -7/12, -1/6, 1/12, -55/12, -131/48, 
  5/12, -49/54, -71/45, 0, 185/108, 76/45, -25/36, 0, 5/9, -473/270, 13/108, 
  1/3, -49/48, -3/4, 1/3, 81/32, 307/96, -7/4, -9/8, -3/4, 7/6, -1/6, 2/3, 
  -169/32, 11/12, 2/3, 3/2, -1/3, 137/48, 1/2, -449/96, -97/24, 1/2, -7/6, 
  5/16, 815/96, 1/2, -11/6, -1, -73/32, -5/6, 0, 2/3, -3/4, 1/2, 0, -11/12, 
  -7/4, -3/4, 0, 5/12, 7/6, 0, 4/3, -2/3, 1/3, 1/3, 0, 2/3, 1, 19/6, 5/4, 
  1/2, 1/4, -17/12, -7/3, -11/12, -1/4, 1/4, 1/4, 1/4, 0, -2, -143/72, 11/12, 
  5/3, 133/72, 1/12, 0, 1/12, -41/24, -143/144, -1/3, 0, 17/12, 1/3, -3/2, 
  -1/3, -1/2, 1/6, 4/3, 1, 1, 1, 3/2, 1/2, 4/3, 5/12, 0, -1/4, -2/3, -11/12, 
  -73/108, 49/60, 1/6, 41/54, -839/360, -2/9, 1, -175/72, 14/27, 61/54, -4/3, 
  1/4, 3/2, -1/12, 13/12, 3/2, -3/4, -1, -1, -1/2, 265/96, 51/32, 3/4, -11/6, 
  1/3, -29/12, 7/2, 43/12, 3/4, -5/3, -3/4, 25/12, 53/24, 73/12, -67/24, 0, 
  -17/4, -77/24, 5/3, -31/32, -37/32, -1/4, -1/6, 29/12, 3/4, -153/32, 
  -551/96, 11/6, 61/12, -247/48, 0, 1/2, 55/48, 0, -2/3, 1/6, 3/4, -2/3, 
  -1/3, 0, 0, -19/12, -1/12, 4/3, -3/2, 4/3, -2, 7/72, 29/36, 11/3, 103/72, 
  -5/36, 1/12, 0, 1/3, -373/216, -359/144, -19/108, 0, 5/3, 17/54, 9/4, 1/3, 
  9/4, 7/36, -13/12, -83/54, -2, -2, -13/12, -3/4, -89/54, -73/60, 223/108, 
  239/180, -11/36, 67/54, 2/9, 4/9, -103/54, -335/216, 13/9, -1/3, 229/216, 
  257/270, -13/108, 25/9, 139/30, -3/2, 13/12, -127/24, -3, 16/9, -491/120, 
  -35/72, -23/72, 31/6, 1, 2, 1/2, 3/4, 0, 0, 17/6, 7/2, -23/12, -25/6, -2/3, 
  -41/12, -3/2, -4/3, -11/6, -5/6, -179/24, 1/6, -25/8, 0, -13/6, 21/8, 4/3, 
  -5/6, -5/3, -1, -4, -1/2, 37/12, 5/2, 17/4, -9/4, -3/4, -3/4, 3/4, 4/3, 
  79/72, -1, -6, -295/72, 5/3, 73/12, 211/36, -1/3, -5/12, 2/3, 113/48, 
  -29/8, -329/72, -13/12, 29/8, -5/12, 7/4, 3/2, -5/6, 47/12, 11/4, -21/16, 
  -3/4, -325/48, -11/24, -13/6, -1, -31/12, -1/6, 0, -23/54, 0, 25/108, 0, 
  7/36, -143/108, -2167/1620, 5/12, -14/27, 5999/3240, 17/18, -2/3, -35/72, 
  254/405, 65/54, 17/54, -7/4, -3/2, 1/36, -1/12, -3/4, 7/4, 1, 5/4, 0, 17/6, 
  -3, 14/3, -8/3, 5/2, 1/6, 17/3, 9/2, -1, -2, 129/4, -129/4, 0, 39/4, -51/2, 
  -2, -39/4, 0, 0, -1/2, -1/2, -7/2, -2, 5/6, 3/2, 1/2, 1/6, -18, 0, 18, 
  99/8, -33/8, -281/24, 0, -149/30, -28/3, -107/9, 0, 0, 0, -53/15, 0, 
  551/10, 167/30, 743/10, -16/15, -2369/30, -4693/60, -409/36, -5/9, 53/30, 
  0, -919/10, 43/6, 0, -1/6, 0, -1/6, 1, -2/3, -16/3, 16/3, 1/2, 7/2, -5/6, 
  -3/2, 165/16, 41/16, 9/4, 161/24, 97/24, -10/3, -161/24, 3, -3, -1, 2, 5, 
  1, 6, -2, -6, 3, -2227/48, 1055/16, -387/16, -1, 1/2, 1/3, 0, 2/3, 4/9, 0, 
  1/3, -5/3, -4, -1/2, 3/2, -785/48, -303/16, -8429/48, 1183/48, -129/16, 
  2/3, -4/3, 4/3, -2, -4, -251/8, 80, 37/12, 1103/24, -129/8, 12, -104/3, 
  -4/3, 20/3, -2, 0, -32/3, -2, -1/6, 5/6, 1/6, -1/6, 5/6, 7/6, 0, -1/2, 0, 
  0, 0, 5/4, 0, 0, 0, -2/3, 0, 0, 0, -4/3, 0, 16, -34/3, 49/2, 151/16, 8, 
  -17/3, 49/4, 151/16, 965/48, 335/12, -17/6, -403/24, 517/48, -19/12, 
  359/12, -17/6, -153/8, -11/12, 17/4, -2, 3, 79/2, 87/2, -157/8, 54, 31/2, 
  3/2, 55/8, 57, 157/15, 191/30, 301/30, 76/9, 809/30, -55/2, -337/15, 
  -1741/90, 0, -41/12, 3/4, 37/12, -13/3, -1/2, -8/3, -5/2, -17/12, 2/3, 
  -2/3, 9/2, 11/12, -5/2, 3/2, 1/3, -61/36, 41/12, -17/12, -35/12, -5/12, 
  49/27, -161/54, 17/9, -4/3, 473/135, -13/54, 142/45, -49/90, -8/9, -1/2, 
  -40/9, 1/2, 20/9, 31/48, -1/6, 40/9, 5/6, 0, 0, -1/8, -7, 11, 19/12, 5/4, 
  1/6, 97/6, -31/2, -25/6, -385/24, -53/4, -29, 2, 53/4, 0, 35/6, 6, -1/3, 
  -15/2, -131/6, 4, -23/4, -1/12, 95/6, 5/12, 9/2, 35/2, 7/3, -193/12, -19/3, 
  -1/3, -20, 3/2, 7/2, 15, -7/2, 23/4, 67/4, -3/2, -71/12, 20, -16, -25/2, 
  -41/4, 15, 1/2, 1/2, -5/4, -3/2, 25/4, -53/48, -19/16, 61/4, 109/48, -5/2, 
  13/2, 79/6, 8, -17/2, 33/4, 15, -33/4, -19/3, -5/36, -1/2, 131/36, 1/9, 
  -43/3, 17/4, 44/3, -107/36, -43/3, -31/27, -368/15, -17/3, 22/27, 1693/90, 
  7/9, 67/60, 4841/180, -55651/1080, 629/1080, 55/12, 27/4, -5/8, -833/72, 
  -3/2, 35/8, -5/2, -1, -1/6, -137/24, 1/4, 5/2, -16/3, -37/8, 1/2, -1/2, 
  -1/2, -1/6, 2, 5/36, -31/24, 0, 1/6, 0, -1/4, 0, -19/12, 1/4, 1/4, 1, -2/3, 
  -1/4, -10/9, -53/36, -2/3, -71/18, -35/18, 29/18, 2/3, 11/12, -113/36, 
  -85/12, 7/6, 239/12, -1, -49/18, 7/4, 137/24, 4/3, 145/54, -473/108, 49/36, 
  -5/3, 161/270, -145/108, 49/16, 253/144, -27/16, 171/16, 1829/144, 43/4, 
  -113/16, -115/12, -1603/144, 23/6, -1297/144, 43/48, -5/12, -463/72, 
  -553/48, 4/3, 19/4, -9/2, -9/2, 49/12, 11/3, 43/12, 57/8, 9/8, -11/16, 
  -2/3, 145/18, 17/3, -7/6, -43/6, -9/2, 1/3, 13/6, -121/8, -35/6, 23/27, 
  52/27, -17/9, -4/3, -2251/270, 13/54, -119/90, 229/90, 47/18, 1, 2, 
  -155/48, -13/48, -10, 11/2, 0, -63/16, -83/24, -565/48, -11/6, 2/3, -61/18, 
  -9/2, 7/6, 277/18, -5/6, -3/2, 5/3, 139/24, 2/3, -1/18, 202/45, -3/4, 
  43/12, -56/45, -10/3, 1, -1123/360, -179/36, -83/36, -191/45, -37/12, 26/9, 
  563/360, -3/2, 4, -295/32, -413/32, -557/96, 4531/96, 85/24, 1, 1225/96, 
  1307/96, -23/6, 27, 1055/32, -153/32, -499/12, 129/8, -11/3, 19/6, 53/12, 
  129/32, 593/96, 7/6, -13/12, -91/12, -2633/96, 47/12, -357/32, -199/32, 
  -101/32, 1523/96, 11/96, 41/36, -98/27, 2, -1/3, 67/18, -1/9, 142/45, 
  -2797/540, -4/3, 1/4, 1/6, 0, -1/18, 0, -1/9, 0, 0, 0, 31/36, -5/2, -7/8, 
  0, -7/3, 5/12, 0, -57/32, 77/48, -119/96, -17/3, 2/3, 0, 153/32, 109/32, 
  -2/3, -7/3, 317/16, 253/16, 0, -253/16, 0, 5/4, -1/3, -3/2, -1/2, 23/12, 
  5/4, -73/12, -5/12, 37/12, 14/3, 229/96, 2623/288, -19/3, -5/2, -8/3, 
  -17/3, 19/4, 40/3, 293/12, -203/24, 571/96, 217/96, -11/6, 41/8, 5/48, 
  76/27, -1027/288, 31/96, -98/27, -526/135, 35/9, -14563/4320, -29203/4320, 
  526/135, 1193/270, 679/288, 95/96, 47/6, 119/48, 163/48, -17/12, -101/30, 
  -3/2, 163/36, 181/180, -5, 53/10, -107/180, -1681/180, -253/180, 157/27, 
  31/10, -7/6, -142/27, -199/90, 13/18, -1/2, 139/18, 6079/1080, -110/27, 
  11/3, 205/18, -7/6, -4/3, -15/2, 7/6, -71/8, 23/24, 151/24, -29/12, 71/6, 
  -107/6, 8/3, 89/6, 1193/36, 71/4, -1279/144, -17/3, -887/72, 253/72, 107/3, 
  -29, -17, 383/72, 167/6, -527/54, 787/90, -3/2, -113/27, 1967/180, -5/36, 
  -2941/540, 3041/540, 2287/540, 1859/540, -4679/135, 19/6, 19/4, 341/540, 
  -23/6, -437/108, -1891/540, 5/6, 28/9, -251/60, -25/9, 4819/540, -2951/540, 
  -1283/432, -517/270, -4, -47/4, 83/16, -3, -2423/120, 67/24, 1759/120, 
  299/12, -8, 173/6, 233/48, -917/48, 359/24, 107/8, 49/4, -1453/60, -339/8, 
  -73/3, 33/16, 43/4, 13/3, 0, 45/2, 29/4, -17, -103/4, 55/4, -97/8, -251/4, 
  333/8, 127/4, 61/4, -335/12, 115/4, 421/12, 1887/40, 19/3, -9253/180, 15/2, 
  1211/160, -405/16, 2829/160, 1845/32, 659/24, 1103/16, -151/16, -197/6, 
  43/24, 701/240, -36479/480, 323/20, -99/16, 35369/480, -91/3, -11/24, 
  1043/60, 431/20, 95/4, 256/45, 13/3, 424/45, -529/36, -47/3, 497/24, 53/4, 
  -7/24, 277/24, 101/8, 397/8, 1011/8, 6701/48, -2021/48, -2007/16, 2893/144, 
  -79831/720, 3731/180, -45689/720, 560/3, -1087/48, 107/24, -65/12, -111/4, 
  -181/12, 2537/360, 36877/720, -191/60, -45217/720, -15/4, -3961/288, 
  2033/96, 26303/360, -16727/160, -36487/360, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, -3/4, 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, 0, 0, 
  0, -1/3, -1/4, 1/3, 0, 1/4, 0, 4/3, 1/4, -1, 0, 0, -1/12, 0, -1/2, 0, 2/3, 
  0, -1/12, 0, 1/3, 1/4, 1/4, 1/3, 0, 0, 0, 0, 0, 0, 0, -1/6, -7/24, -1/6, 
  -1/4, 1/4, 1/24, -1/4, 0, 0, -1/24, 0, 1/4, 7/24, 1/6, 1/6, 1/6, 7/24, 1/8, 
  -1/24, 0, -1/8, 0, 1/24, -7/24, -1/6, 0, 0, 1/3, -1/4, -5/12, 11/12, 1/12, 
  -11/12, 0, 1/3, 1/4, -1/12, 1/4, 0, -1/3, 5/12, -1/4, -1/3, 2/3, 5/6, 1/4, 
  1/6, 0, -1/4, 0, -1/6, -5/6, -2/3, 0, 0, -1/3, -1/4, -7/12, 11/12, 0, 7/12, 
  -1/12, 1/3, -1/3, -1/3, 5/12, -7/12, -1/3, 1/3, 1/2, 1/4, -5/12, -2/3, 
  -1/6, -7/12, -1/3, 0, -1/8, -1/6, 11/24, 0, 1/6, -1/24, -1/6, 1/8, 0, 1/24, 
  -11/24, 0, 1/6, -1/6, 1/6, 0, 1/8, 1/8, -5/24, 5/24, -1/3, 5/24, -1/8, 0, 
  0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 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, 1, 1, -1/2, 
  -5/4, -3/32, 0, 0, -1, 13/16, 9/16, -37/16, 1, -5/4, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -1, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, -1, 0, 0, -3/2, 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, 0, -1/2, 0, 3/4, 
  0, 0, -1/2, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -3/32, 0, 0, -1, 13/16, 9/16, -13/16, 0, 1, 19/32, -1/2, -43/32, 0, -1/2, 
  19/32, 1, -91/32, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1/4, -3/4, 0, -1/2, 1/4, 3/4, 7/4, 0, 0, -1/2, 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, 
  0, 0, -3/4, 3/4, 0, 0, -29/32, -9/16, 0, 45/32, 0, 0, 0, 0, 1/12, -1/12, 0, 
  1/12, 0, 1/24, 3/8, 0, -5/24, 0, 0, -1/4, 0, 0, 1/4, 0, 1, 1, -3/4, -41/32, 
  0, 0, 0, 0, 0, 0, 0, 0, -3/2, 3/4, 3/2, -3/4, 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, 0, 0, 0, -1, 0, 1, 3/4, 
  -1/4, 3/4, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/8, 1/4, 1/2, -1/2, -1/2, 0, 0, 0, 
  0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -1, -3/4, 3/4, -1/4, 0, 0, 0, 0, 0, 0, 0, -2/3, 2, -1, 0, 0, 0, 0, 0, 
  -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  3/32, -37/32, -3/32, -1/2, 1/4, -1/16, -11/32, -3/32, 0, 27/32, 0, 0, 0, 0, 
  0, -1/4, -1/2, 1/4, 0, 3/4, 1/6, -17/48, 1/4, 17/96, -7/48, 0, -1/4, 7/48, 
  0, 37/96, 15/8, 0, -101/96, 0, 1/4, -1/4, -1/4, 1/4, -5/16, 0, 1/2, 5/16, 
  -1/6, 1/4, 7/4, -17/8, 1, 0, 0, 0, -1/3, 0, 0, 0, 1/3, 0, 1/4, 13/8, 0, 
  -95/96, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, -3/4, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 2, -3/4, -2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, -3/4, 0, 
  3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3/4, 3/2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 
  3/4, 3/4, 0, -3/2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, -1/4, -1, 
  1/4, -15/8, 5/8, 11/6, 7/4, 7/4, -15/8, -1/8, 11/6, 5/2, -1/8, 0, 1/8, 1/4, 
  -7/24, -7/24, -1/8, 0, -1/4, 0, -7/24, 3/4, 0, -5/8, 5/8, -25/24, -7/8, 
  -1/4, 0, 1/8, 1/8, -7/8, 3/4, -3/4, -1, -3/4, 1, -3/4, -1, 3/2, 1/2, -1/4, 
  0, -1/2, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, -1, -1/4, 0, 5/4, 0, 0, -1/4, 
  -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2/3, 2/3, 0, 0, 0, 
  0, -2/3, 0, 0, 0, 0, 11/12, 0, -11/12, 5/12, -1/3, 1/2, 1/6, 5/12, 0, -1/2, 
  -1/6, 1/12, -1/6, -7/24, -1/3, -1/6, -1/6, -5/12, -1/4, -7/24, 0, 0, -1/4, 
  7/24, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/12, 0, 0, 0, -2/3, 0, 1/4, 
  0, 0, 0, -1, 0, 0, 0, -1/3, 7/12, 11/12, 1/12, -7/12, 1/4, -1/3, -2/3, 1/3, 
  1/3, -1/6, 0, 0, -5/4, -1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 11/24, 
  97/96, -1/12, -1/4, 0, -1/4, -1/8, -3/4, -7/24, 1/2, -1/12, 0, 31/32, 
  -241/96, 0, 7/48, 3/2, 1/48, -7/8, -15/32, 0, -1/12, -15/16, 1/4, 1/3, 
  41/96, 97/96, -1/12, -1/4, 0, 1/6, 1/4, 1/6, -2/3, -7/24, 1/6, -1/6, -1/6, 
  11/48, -31/32, 7/24, -49/96, 1/4, 0, 23/96, 5/24, 1/6, -1/24, -1/32, 5/24, 
  0, 0, 0, -1/8, -7/24, 0, 0, 1/4, 0, 0, 7/24, 3/4, -1/4, 0, -3/4, 0, -1/6, 
  9/32, -31/16, 7/24, 7/4, 1/4, 0, 3/32, -25/24, 7/48, 5/6, 7/16, 5/24, 1/3, 
  1/4, 0, -7/24, 0, 1/4, 1/3, -7/12, 0, 1/6, 3/4, -1/4, 1/3, 0, -3/4, 0, 1/6, 
  -1/8, -31/16, 0, 5/2, 0, -7/96, 89/96, -15/8, -25/48, -1/3, 3/16, -1/4, 
  7/8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 13/12, -3/2, 1, -5/3, 
  -1, 0, 7/4, -7/12, -1/2, 1/3, -5/12, 1/12, 0, 0, -1/4, 0, -1/3, 0, 1, -3/4, 
  -1/4, -35/24, 1/12, 11/24, -1/8, 0, 1/8, -1/6, 0, 1/3, 13/24, 11/12, -1/12, 
  11/24, 0, 1/2, -1/3, 1/3, -5/8, 0, 1/6, 1/8, -5/12, 2/3, 3/8, 1/4, 35/48, 
  0, 0, 3/16, 0, 0, -1/6, 0, -7/24, 0, 11/24, 1/3, 0, 7/24, 0, -1/6, 0, 1/3, 
  -1/8, 0, -1/3, 1/8, -19/24, 5/16, 1/3, 11/24, -1/8, 3/16, 0, 1/8, 1/3, 0, 
  -19/24, 0, 11/24, 1/3, 0, 7/24, 0, -1/6, 0, -1/3, 35/24, 0, 1/3, -37/24, 
  -1/4, -7/16, 0, 11/24, -7/12, 41/48, 11/24, -5/4, 7/8, -1/24, 3/2, -1/2, 
  1/24, -3/8, 0, 0, -11/24, 3/2, -41/16, -7/16, 11/12, 11/16, 43/48, -11/12, 
  5/24, -9/8, 9/8, -5/24, 0, 0, -13/12, 3/2, 1/3, -39/16, 0, -11/24, 11/16, 
  29/24, -11/12, 0, -3/8, 5/8, -25/48, -3/16, -1/2, 0, -3/4, -1/2, -7/4, -1, 
  -1/12, 3/2, 1/4, 1/4, -13/8, 35/24, 3/4, -14/3, -15/8, 15/8, 14/3, 0, 1/12, 
  1, 1/6, -31/24, -1/2, 3/4, 5/12, -1/4, 1/4, 115/24, -1/4, -1/3, 7/6, 1/3, 
  -11/12, 0, 1/3, 1/6, 1/12, -5/6, -1/12, 0, 1/12, -5/12, -1/3, 1/4, 1/4, 
  -2/3, -1/4, 5/12, 1/6, -1/4, 0, -5/12, 1/4, -1/3, 7/12, -11/12, 9/8, 
  -11/12, -11/24, -1/3, 1/12, -1/6, 0, -3/8, -1/3, -1/6, -1/4, -1/4, -5/12, 
  0, -2/3, 2/3, 0, 1/3, 0, -19/24, 0, 11/24, 0, -2/3, -2/3, -1/2, 7/24, 2/3, 
  1/3, -1/3, 7/12, -2/3, -1/4, 5/12, -1/4, -7/12, 0, 7/12, 5/12, 0, -5/12, 0, 
  -1/2, 1/2, 1/4, -3/4, -11/12, 0, -1/4, 5/12, 17/12, -5/12, -1/2, -1/4, 
  5/12, -1/6, 1/4, 0, -7/6, -1/4, 11/12, 1/4, -1/3, 1/12, -1/3, 13/12, 5/6, 
  1/12, -11/12, 0, -1/3, -2/3, -1/4, -1/4, -1/3, -1/4, -1/4, 1/3, 11/12, 1/4, 
  -2/3, -5/12, -2/3, -1/6, -5/6, -2/3, 0, -1/3, 0, 0, 19/24, 0, -11/24, 1/6, 
  0, -7/24, 1/6, 1/8, 1/6, -1/24, 0, -1/6, 1/24, 1/6, 0, -1/6, -1/8, -1/8, 
  1/3, 1/8, -5/24, 0, 1/3, 0, 0, -13/24, 1/2, -1/4, 1/12, -11/12, 0, 0, 7/12, 
  1/3, -3/8, 1/4, -1/12, 11/12, 0, -1/3, 1/3, 0, 0, -1/3, 1/4, -11/32, 1/4, 
  11/12, -1/4, -1/24, 5/12, 0, -1/3, -1/96, 1/24, 2/3, -5/12, 19/24, 1/3, 
  -7/12, 13/12, 1/3, -1/2, -31/96, -1/8, -5/24, 1/4, 1/8, 0, 5/24, 7/24, 1/2, 
  0, 0, 0, 0, 1/3, 0, 0, -19/24, 0, 11/24, 0, 0, 0, -1/6, 0, 0, 7/24, 0, 0, 
  0, -1/6, 0, 0, -1/3, -5/24, 3/8, 7/12, 1/8, -11/6, -37/24, 1/6, 0, 0, -3/4, 
  1/8, -15/8, 7/12, 9/4, 1, 1/12, 2, 2/3, -11/24, -17/24, -3/8, 3/4, 2/3, 
  1/8, 19/24, 1/24, -4/3, -1/6, -1/4, 3/4, 1/6, -1/3, 0, -5/24, 19/24, 0, 
  1/24, -11/24, 0, 1/6, -1/6, 1/6, 0, 1/6, -1/24, 11/24, 0, 1/6, -1/6, 0, 
  7/8, -13/24, -1/6, -23/24, 7/8, 1/24, -19/24, 0, 1/3, 0, -1/24, 1/4, 23/24, 
  -1/6, 0, 1/4, -5/12, -1/3, -1/6, 13/12, 1/8, -1/24, 0, -1/8, 2/3, -5/8, 
  -7/24, -1/2, 0, 0, -1/6, -1/24, 0, 3/8, -19/16, 3/4, -1/24, 1/48, 0, -1/3, 
  17/48, -1/8, 23/48, -7/16, -1/6, 7/48, -1/3, 5/24, -1/12, -19/48, 1/8, 
  -3/16, -3/4, 1/4, -7/48, -3/16, 3/16, -1/4, 1/8, 1/6, -11/24, -1/4, 1/6, 
  -1/2, 1/24, 1/24, 1, 1/4, 1/3, -3/8, 2/3, 1/6, 1/4, -1/8, -1/8, 1/4, 5/24, 
  11/24, -13/24, 19/24, -1/24, 0, 1/8, 1/6, -7/12, -1/6, 11/24, 0, -1/6, 
  1/24, 0, -1/24, 1/6, -2/3, 0, -1/6, -1/6, 5/24, 5/24, -1/6, 1/8, -1/8, 0, 
  -7/12, 1/8, 0, -5/24, -1/3, -3/8, 0, 23/24, 17/24, 0, -1/12, -1/3, 1/3, 
  -1/4, -1/4, 5/12, -1/6, 1/4, -5/12, 5/12, 0, 0, 0, 0, 0, 0, -2/3, 0, 0, 
  -2/3, 0, 0, 0, 0, 0, 13/12, -13/12, 0, 0, 0, 0, 0, 0, -35/48, 0, 0, 0, 0, 
  0, 0, 0, 2/3, -1, 0, 1/2, 5/4, -1, -2, 0, 3/2, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/2, 0, -3/4, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/4, 0, 0, 0, 0, 
  0, 0, 0, -1, 0, 1/6, 0, -1/6, 1/3, -3/4, -5/6, 0, 5/6, 119/96, -1/3, 1/3, 
  0, -3/4, 1/4, 1/12, 0, -1/12, -1/3, 1/4, -5/12, 0, 2/3, 25/96, -61/48, 3/2, 
  1/12, 1/4, -1/4, 1/2, -1/2, 0, -5/24, -3/8, 0, 3/8, 0, 1, -3/16, 3/16, 
  -9/16, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -3/4, -3, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 
  0, 1/8, 0, 0, 0, 0, 0, -1/3, 1/3, -1/6, 23/16, -7/24, 0, 0, -1/12, 17/48, 
  -31/48, 0, 0, -11/12, -1/6, 1/2, 1/2, 0, 0, 0, 1/3, 0, 0, 13/48, 1/2, 3/2, 
  0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -4/3, 0, 0, 0, 0, -4/3, 0, 0, -5/3, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 253/48, 
  0, 0, -4/3, 0, 0, 0, -2/3, 0, 0, -5/6, 0, 0, 1/4, 5/4, -3/2, 1/6, 0, -2/3, 
  0, 0, -11/24, 19/24, 5/24, 0, -1/24, 3/4, 2, 0, 0, 0, -1, 1/3, 59/48, 1/6, 
  3/8, -13/24, 35/48, -1/3, -59/48, -1/6, 0, 0, 0, 0, 13/12, 0, -2/3, 0, 0, 
  0, 1, 2, 0, -3/2, -1/3, 0, -2/3, -1/3, 0, -1/3, 0, 2/3, 0, -1, 3/32, 0, 0, 
  1, -13/16, -9/16, 37/16, 0, -1, -19/32, 1/2, 43/32, 1, 2, 0, -3/2, -1, 0, 
  0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1/6, 0, 0, 0, 7/12, 1/3, 0, -2/3, -1/3, 
  0, -4/3, -2/3, -1, 0, 0, 0, 0, 1/2, -1/4, -3/4, -3/4, 0, -1/2, 0, 0, 0, 0, 
  0, -2/3, 1/3, 2/3, 2/3, -2/3, 2/3, 0, 2/3, 8/3, 0, 0, 0, 0, 5/6, 5/6, -5/6, 
  -1/32, -19/96, 19/96, -4/3, 5/12, 13/16, 2/3, -23/12, 5/4, -7/32, -5/96, 
  5/96, 13/12, -1/24, 17/24, -9/4, -83/48, 3/4, -1/4, 1/4, 1, 1, -1/2, 7/6, 
  3/2, 2, 3, -7/3, 0, -37/48, -79/24, 1/32, 83/16, -407/96, -185/32, -119/48, 
  1/3, -43/96, -59/96, -5/12, -257/96, -2/3, -3329/384, 2377/384, 5/6, 1/32, 
  11/24, 5/12, 43/96, 7/3, -13/32, -139/96, -9/16, 29/96, 13/96, -13/32, 
  -7/6, -19/32, 1/3, 2/3, -1/2, -1/3, -1/6, -3/32, 17/12, -17/12, -3/32, 
  71/24, 17/12, -5/12, -17/12, -65/96, 17/16, 13/96, -13/96, -53/24, 21/32, 
  27/32, -197/96, -317/96, -5/2, -1/3, 1/4, 7/12, 17/96, -1, 7/8, 1, 1/4, 
  -5/8, 43/48, -3/8, -11/16, 13/32, -13/32, 1/2, 25/16, -25/16, -9/16, 1/4, 
  3/4, 0, -3/4, -19/32, -1, 1, 1, 1/2, 0, -31/16, -91/24, -35/32, -15/32, 
  7/4, -5/4, -71/32, -45/16, 0, 41/32, -79/24, -35/32, -23/8, 9/16, 159/32, 
  -43/32, -33/32, -17/16, 19/32, 25/16, 45/8, 0, 0, 0, -9/2, 0, 0, 0, 0, 0, 
  0, -1, 3/2, 3/2, 9/2, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 6, 0, 0, 
  -45/8, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 7/2, 0, 0, 0, -9/2, 0, 0, 0, 0, 15/2, 
  0, 0, 0, 0, 5, 0, 0, 0, -1/2, 0, 0, -5/8, 0, 5/8, 0, 0, -3/8, 0, 3/8, 0, 0, 
  0, 0, 1/4, 0, 1, -3/2, -3/2, -17/4, 0, 1/2, -1/4, -3/4, -9/4, 0, 0, 0, -1, 
  0, 2, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, -1/2, 0, -2, 0, 0, 9/2, 0, 0, 0, 0, 
  -3/2, -3, -3, 0, 3, -1/8, 3, 3, 0, -3, 1/4, 0, 0, 0, 3, 0, 3, 3, 0, -9, 
  -1/2, -3, -3, 0, 0, 5/2, 241/288, 0, 0, 0, 0, 85/96, 0, 59/36, -17/12, 0, 
  0, 0, 0, -1, 1/6, 11/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47/96, -1/2, -1, 
  31/24, -85/96, -11/12, 241/288, -1/12, 0, -85/96, -1/3, 241/288, 1/3, 0, 0, 
  0, 0, 0, -1/96, 5/4, 5/4, 3/4, 7/24, 1/12, -1/12, 61/18, -53/48, 151/144, 
  1/4, -37/48, -17/48, -1, 1/4, -43/24, 7/16, 0, 0, 0, 0, -59/18, 0, 53/48, 
  0, 0, -43/144, -1/12, 13/48, 17/48, 1, 0, 0, 0, 0, 0, 0, 123/32, -2/3, 0, 
  0, 0, 0, -2/3, 71/12, 0, -71/12, -123/32, 71/12, 21/4, 0, 0, -1/6, 5/4, 
  -19/12, 3/4, 9/4, 25/12, 5/24, -23/12, 4/3, 25/12, -7/24, -23/12, -3/2, 0, 
  0, 0, 0, 0, 1/2, 0, 1/2, 0, -3/4, 2, 1/2, 0, 0, 0, -7/6, -11/4, 0, 7/4, 
  3/4, 0, 1/3, 1/3, 0, 2, 1, -1, -5/2, 4/27, 19/72, -37/48, 3/2, 0, 1, -1, 
  5/2, -52/9, 85/48, -35/32, 1/2, 0, 0, 0, -2/3, -1/2, 0, -7/6, 0, 0, 0, 0, 
  -449/288, -79/24, 0, -19/24, 0, 1/6, -1/3, 7/12, -17/48, 2/3, 0, -1, 2/3, 
  2/3, 63/8, 149/16, 125/16, -11/16, -19/2, -127/16, -249/32, 0, -69/8, 
  -45/16, 65/4, 27/4, -25/4, 1/4, 0, 11/4, 1/24, -17/6, -35/8, 0, -23/24, 
  33/8, 149/24, 0, -139/24, -149/24, 0, 1/4, 5/12, -343/48, 0, -5/24, 0, 0, 
  0, 0, 7/4, 1/24, -19/12, -9/4, 0, -3/4, 9/4, 77/12, 0, -6, -77/12, 0, 1/6, 
  0, 0, 1/24, 0, -3/4, 0, -9/4, 9/4, -3/4, 0, -13/12, -77/12, 0, -13/4, 25/8, 
  13/12, 4/3, 11/12, -3/2, 1019/144, -5/12, -35/24, 0, -251/18, -7/24, 0, 
  -1019/144, 1163/216, 0, 1033/48, -1163/216, -130/9, 1133/144, -5/4, 
  -1199/108, -19/24, -449/288, 839/72, 1145/108, 0, 0, 1091/216, 0, 0, 
  -1307/216, 0, 1073/144, -5/4, -248/27, -19/24, 1505/144, -185/288, -143/24, 
  1939/216, 2/3, 2/3, -2/3, -1/4, 35/24, 31/12, -5/6, 3/4, 5/12, 1/4, -1/12, 
  -47/48, -5/2, 1/3, 0, 0, 11/12, -3/8, -11/12, 13/24, 1/12, -11/24, 3/8, 
  -1/12, -3/2, 0, 65/48, 13/12, -2, 1/3, -1/3, 0, -11/24, -35/48, -1/12, 
  -4/3, 7/4, 25/24, -1/4, 1/8, 13/8, -13/8, -1/8, -3/4, -13/24, -1/2, 5/8, 
  -1, 1, 1/3, 1/3, 1/6, -1, -1/24, -13/24, 5/24, 11/24, 1/3, -1/3, -1/6, 
  -7/24, -1/8, -1/6, 1/6, 7/24, 1/6, 1/3, -1/3, -1/3, 1/3, -11/32, 31/96, 
  1/4, 1/12, 11/32, 0, 1/12, 0, -1/3, 0, 1/3, -25/12, -15/4, -2, 11/12, 0, 
  1/2, 1/4, -11/12, -3/4, 1/3, 73/24, -23/8, 11/24, -61/12, 1/4, 0, -59/48, 
  -1/24, -1/3, -1/3, 43/48, 7/24, 5/6, 1/6, 2/3, -1/3, 1/3, 1/3, -1, 0, 2/3, 
  0, -9/8, -5/24, 3/8, 0, 0, 0, -3/8, -1/3, -1/3, -1/3, -23/24, 1/2, 1/6, 
  1/3, 0, -17/8, -1/12, 3/4, -1/4, 0, -1/3, -5/24, -1/3, 7/12, -23/24, 5/8, 
  11/12, 0, 95/192, -83/36, 49/192, 83/36, -1/3, 1/3, 0, -1/8, 0, 1/8, 7/24, 
  7/24, -1/4, 1/3, 15/8, 29/24, 0, -1/8, 0, 1/2, 0, 7/24, 7/24, 5/4, 13/12, 
  15/8, 1/3, 43/54, 77/288, -43/54, -221/288, 1/3, -1/3, 1/12, 0, 5/12, 1/2, 
  0, 1/12, 3/4, -1/3, -13/6, 1/12, 5/6, 0, 1/2, 3/4, 1, -5/4, 0, -1/4, -21/8, 
  35/12, 91/24, -2/3, 29/48, 1/3, -1/4, -15/16, 2/3, 0, 0, 0, 4/3, -1/3, 
  -4/3, -1/3, 0, -2/3, 0, -1/2, 3/2, -5/12, 1, -1/3, 1/4, -77/48, 1/3, -1, 
  11/16, 0, -155/96, -19/12, -1/3, 1/2, -1, 9/4, 0, -1/12, 155/96, 37/32, 
  1/2, -247/96, 41/96, 49/192, 17/192, -19/96, -477/256, 2039/768, 0, 23/192, 
  17/24, 109/64, 55/48, -13/12, -61/24, -1079/192, -289/192, 3/2, 3/4, 5/8, 
  69/16, 373/32, 97/32, 39/4, 83/96, -25/24, -31/3, -21/2, -51/32, 49/12, 
  -191/16, -17/6, 367/32, 127/48, -25/6, -115/96, 47/64, -5/6, -5/4, 
  1013/192, 59/16, 5/4, -811/192, 1751/768, 5/12, 0, -2359/768, 0, 2671/384, 
  -47/64, -285/64, 0, 0, -2335/384, 1439/192, 0, 133/96, -2123/768, 5/6, 
  -163/96, 0, -49/192, 975/128, 2227/384, -53/64, -317/64, 0, -17/192, 
  -2239/384, 1427/192, 19/96, 637/256, -2195/768, 5/6, -2375/768, 0, -7/24, 
  3083/1152, 2035/384, -1/4, -1/4, 0, -19/192, -821/128, 131/48, 67/96, 
  -1/192, -1427/768, 0, -5525/768, 1/4, -205/32, 23/24, 725/96, 1, -17/16, 0, 
  73/32, 0, -627/64, -11/6, 491/64, 1/4, 769/96, -5/24, -2021/384, -611/96, 
  13/16, 611/96, -1/6, 1889/384, 389/48, -1889/384, -283/48, 2033/384, 1/8, 
  7/8, -13/24, -1/12, -1/8, 1/4, -19/24, -1/8, -1/24, 7/12, -47/12, 283/192, 
  -1889/384, 1121/192, 2515/384, 1/8, -43/24, -13/24, 17/8, -1/3, 0, -5/4, 
  -1/8, 4/3, 7/12, 877/96, 91/192, -5219/384, 299/64, 5653/384, -1/6, -1/4, 
  -9/4, 133/48, -7/16, 5/4, -5/8, -815/96, 7/8, -1/4, 32123/2880, 13/8, 
  -148283/17280, 0, 73/72, 1171/384, 1/6, -40043/2880, 186353/17280, 10/9, 
  -7/4, 3/4, -125/96, -273/64, 3/4, -99/64, -1/4, 683/384, 2545/384, 67/64, 
  -1003/384, -40073/2880, -33/32, 186353/17280, -17/8, 17/12, -273/64, -1/8, 
  3/8, 2545/384, -103/48, -907/384, -9/2, 9/64, 2, 497/384, 1/2, -35/32, 
  -15/32, 1/8, 13/12, -25/24, 123/32, -1/32, -89/48, -59/16, -5/4, -5/16, 
  -37/24, -5/16, 31/32, 11/16, 1/12, -25/24, -179/32, -17/12, 0, -67/32, 
  -85/24, -5/16, 227/96, 79/24, -139/48, -65/32, 25/32, -7/2, -19/6, 0, 37/8, 
  73/96, 25/8, -41/24, 377/96, 23/96, -377/32, -97/32, 179/24, 5/4, -31/32, 
  139/96, 1/8, -57/32, 0, 17/32, -127/96, 57/32, -1/24, -91/96, -49/48, 
  -115/24, 16/3, 189/32, -1/4, -7/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 1/4, 0, 7/12, 0, 0, 0, 1/8, 0, 7/24, 0, 23/8, -11/6, 
  -19/8, 0, 1/2, 1/8, 5/4, -3/4, 7/24, -11/12, 0, -5/2, -7/8, 7/2, 45/8, 1/2, 
  0, 0, -1/4, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -1, -1/2, -3/2, 2, 0, -2, 0, 0, 
  -1/2, -1/2, 17/4, 5/4, 5/12, 3/4, -17/12, 0, -1/2, -9/2, -23/8, 17/3, 57/8, 
  -22/3, -1/3, -3, -73/24, 1/3, 13/8, -16/3, -115/108, 1225/288, -1/6, 46/27, 
  -1201/288, -5/9, -967/180, -5561/1440, 4931/1080, 6437/1080, 37/12, 5/4, 
  -7/4, -23/12, 3/4, 4, -2/3, -2, -2, -2, -8/3, -4, 2, -2, 0, 0, 0, 0, 0, 
  1/24, -83/48, 23/48, -13/8, 5/12, 211/144, 55/16, -5095/432, -1/96, 
  -1499/144, 13111/1728, 6865/288, 89/36, 1969/216, -437/576, -8317/288, 
  -935/108, 121/24, 1067/144, -15703/1728, 23/96, -9815/288, 13423/1728, 
  6793/288, -1133/144, 253/72, 541/54, -1/9, 19/8, -437/576, -8317/288, 
  -487/54, 121/24, 1/3, -11815/1728, 23/96, -7753/288, 11407/1728, 6367/288, 
  -1009/144, 253/72, 4289/432, -1/9, -617/144, -365/576, -8377/288, 
  -3587/432, 335/48, 7/12, -5/12, 19/36, 1351/240, -17/48, -653/120, -137/72, 
  -187/96, 7/4, 67/120, 1/12, -31/54, 79/36, -61/96, -85/108, -139/96, 1/18, 
  0, -239/270, -23/108, 1/3, 7/4, -1/2, 1/3, 1/4, 5/9, 63/16, 1/6, -1/3, 
  -181/48, -1/4, -50/9, -63/16, 49/12, 5, 37/12, 5/2, -9/4, -25/12, 1, 
  -13/36, 1/6, 5/12, -1/2, -63/16, 5/48, 5, 23/6, 55/48, -9/4, -7/3, -1/4, 0, 
  -8/3, -8/3, 4/3, 0, 0, 0, 2/3, -2/3, -2/3, 14/3, -4/3, 8/3, 0, 4/3, 0, 
  -2/3, 0, 0, 0, 0, 0, 2/3, 0, 0, -2/3, 0, 0, 0, 2/3, 0, 0, 0, 0, -1, 
  -767/1728, -5/48, 7753/288, -1975/1728, -6367/288, -101/18, -949/144, 
  -4825/864, 373/72, 703/48, 43/24, -275/16, 1/8, 1/12, 17/16, 13/48, 497/48, 
  -1/12, 1/8, -13/48, 2/3, 0, 25/24, 25/12, 1/2, 29/6, 35/24, 29/12, -5/6, 
  -1/24, 9/4, 0, 2/3, -1/2, -1/4, 1/2, 0, 0, 15/16, 0, -15/16, -43/48, 5/6, 
  -55/48, -1/16, 0, 0, 4/3, -2/3, -17/9, 2/3, 0, -11/8, -15/16, 1/12, -11/16, 
  7/48, 3/4, 0, 0, 41/16, 15/16, 0, -647/48, -191/16, -3/2, 271/16, 731/48, 
  3/8, 173/16, -1/3, -739/48, 4/3, -4109/192, -83/12, -43/12, 121/6, -615/64, 
  2/3, -595/48, -3/2, 0, 243/16, 0, 647/48, -1/3, -697/48, 4/3, -651/64, 
  -35/4, -65/24, 71/3, -2101/192, 7/12, 107/48, -1/48, -1/9, 7/6, 7337/4320, 
  -1/9, 0, -39/16, -2267/384, -9631/8640, 35/32, 1/4, -73/108, -78461/8640, 
  -2899/384, 1/36, 31337/5760, -37/16, 1, 497/288, -591/128, 25/54, 
  69821/8640, 3211/384, 64111/17280, 18869/4320, -11/16, -38/9, 3721/1728, 
  -5/48, 28933/864, -2317/1728, -7097/288, 28069/17280, -102491/17280, 
  -6161/432, 77771/17280, 17/36, 0, -7/12, -13/18, -55031/17280, 17/48, 
  51431/17280, -35/36, 1/4, -11/12, -40009/17280, 1/4, 1/6, 1/6, 3/4, 0, 3/8, 
  1/6, 1/12, -7/9, -25/72, -1/3, -1/6, -1/6, -1/6, 0, -41/72, 13/36, 0, 1/6, 
  -11/4, 1/6, 0, 0, -1/4, 0, -1/3, 169/96, 107/48, -3/4, -1/8, -541/96, 
  -75/16, 1/8, 41/12, 1/4, 1/3, -43/16, -1/6, 41/24, 665/96, -13/12, 1/6, 
  -329/192, 0, -31/32, 21/16, 1/2, 37/12, 7/16, -1, -115/96, -85/32, 11/3, 
  25/16, -11/12, 0, 0, -61/24, 0, 1/4, 0, 0, -7/6, 0, -1/2, 11/12, 1/2, -1, 
  0, -1/6, 5/3, -3/4, 1/2, 19/12, -1/2, -1/2, -5/12, 1/2, 0, 1/2, 1/4, -37/6, 
  0, 0, 0, 0, 3631/432, -5/18, -17/24, -2743/216, 16/9, 17/24, 217/432, 0, 
  -1/2, -3/16, 4189/432, -37/144, -1711/432, -1/6, -61/48, 7115/864, 53/27, 
  6511/432, -113/72, 5/24, -250/27, 11/18, 2065/432, 17/48, 1741/288, 23/48, 
  77/144, 1/3, -3/4, 5/12, 43/24, -11/12, 31/24, -55/24, -19/16, 1/2, 2/3, 
  -1/3, 1/6, -1/6, -1/4, -1/12, 1/4, 1/2, -10/3, 35/24, 233/48, 179/48, -1/4, 
  -17/48, -1/4, 1/3, 7/6, -1/4, -11/12, -1/4, 1/3, 1/6, -1/4, -73/72, -17/36, 
  0, 1/12, -35/144, -1/3, 1/4, 1/4, -11/12, -1/4, 2/3, 1/6, -1/4, 23/48, 
  -5/12, 13/24, -3/32, 0, 1/3, -1/12, -3/4, 7/18, -3/8, -1/6, -7/24, -1/4, 
  -5/18, 0, -1/6, 55/96, -49/192, -1/3, 1/2, 1/18, 35/576, 1/12, 5/18, -1/48, 
  67/64, 0, 13/48, 0, -1/3, 3/8, 2, 1/8, 11/12, -5/12, -2, -15/4, 7/8, 17/8, 
  -2, -55/12, -2/3, -77/24, -23/12, 31/8, 3, 1/2, 31/6, 2/3, -17/24, -2/3, 
  9/4, -13/24, -11/4, 1/4, -1/24, -3/2, 53/24, -3/2, -11/6, -31/8, 23/8, 2/3, 
  7/8, 1/2, 1/2, 0, -1/3, -5/3, -47/24, 1/12, 25/24, 0, -5/6, 2/3, -1/2, 
  31/48, -7/24, -1/3, -1/6, 0, -83/24, 19/12, -7/4, 179/48, -1/2, 0, 31/48, 
  -1/24, 1/6, -1/6, -17/16, 0, 0, 205/32, -95/192, -205/32, 83/36, 205/32, 
  -205/32, 3/4, 909/64, 591/32, 107/16, 1/3, 0, -357/16, -909/64, -193/16, 
  461/192, 509/32, -1745/192, -23/8, -43/54, 23/8, -77/288, -23/8, 69/8, 
  -21/8, -1/2, -81/8, -1/2, -1/3, -83/16, 17/8, -23/4, 47/16, 11/2, 83/16, 
  -5/16, 1/6, -1/12, 2/3, -155/96, -13/12, -9/4, 5/3, 11/12, 1/2, -1/12, 1/6, 
  7/3, 11/24, 1/3, 1/12, -1/6, 1/12, 1/2, 7/3, -305/96, -91/24, 0, 29/32, 
  -5/16, 1/12, 0, 0, 15/16, 0, 1/3, -49/288, 169/36, 0, -5/24, 51/128, 1/3, 
  0, 19/18, 0, -83/384, -1/3, -25/288, -23/8, -37/72, -1/3, -1/6, 227/96, 0, 
  373/576, -835/384, -173/96, 55/36, 715/288, 1/4, -479/288, 131/192, -17/12, 
  191/192, 31/36, 7/32, 0, 1/72, -1/3, 1/3, -23/24, 11/12, -17/16, -5/12, 
  -11/24, 0, 1/2, 7/48, -607/96, 1/12, 0, 1/2, -1/3, -1465/128, -13/2, -5/2, 
  -2905/384, 1163/192, 3/16, 1963/192, -3/8, 437/96, 5/4, 353/96, 21/16, 
  -9/8, -189/32, 1/4, -11/24, -43/64, 0, 1/2, 209/192, 1/2, -1/3, -329/576, 
  -1/4, -1/24, -89/288, 11/24, -1/2, -1/3, 835/576, 1/6, -31/24, -895/192, 
  -37/32, 11/24, -3/8, -1/4, -19849/4320, -535/144, 43021/6480, -545/1728, 
  33/8, 69/32, -15/8, -379/72, -1/4, 1/4, -67/96, 49/32, -1/24, -139/96, 
  -19/12, 25/12, -7/6, -11/12, -1/4, -13/16, 1/3, 139/96, 161/96, -23/24, 
  -1/6, -1/12, -5/6, 1/6, -137/96, -77/32, -1/4, -3, 1/4, -1/6, 65/12, 53/24, 
  -125/48, -87/32, 49/8, -1/4, 4/3, 0, -1/3, 1/12, 0, 0, -1/3, 0, 0, 0, 0, 
  -1/3, 22/3, -1/8, 41/24, -73/6, 61/12, -11/24, 7/4, -3/4, 0, 0, 1/8, 17/12, 
  -7/24, 0, -13/24, 5/3, 11/8, 0, 7/24, -3/4, -1, -19/24, 0, 1/2, 1/6, -11/6, 
  -3/2, -19/24, -11/24, -149/48, 1/4, 43/24, -5/8, -7/3, 55/24, 37/24, 67/48, 
  -113/24, -25/24, 11/6, 11/12, 0, -35/24, -5/3, -11/8, 0, -31/6, 1/3, 0, 
  115/24, 0, 0, 13/6, 0, 0, 1/6, -11/8, 5/3, -19/24, 149/24, 21/8, 19/4, 
  143/48, -3/2, -89/12, 53/8, -73/48, -25/6, -605/48, 83/48, -1/3, 0, -7/24, 
  -1/6, -5/12, 11/12, 5/24, 0, -11/8, 1, -25/24, 0, -1/3, 4/3, 1/8, 0, 8/3, 
  -1/2, -4/3, 4/3, 7/12, 1/8, -11/24, 19/12, 7/8, -15/4, -5/6, 23/48, 19/4, 
  0, 1/4, -79/48, 5/12, -1/3, -3451/432, 7/12, 19/24, 3949/432, -7/24, 
  -11/24, 83/144, 1/6, -89/216, -3793/432, 223/432, 83/72, 1/6, -89/216, 
  -5329/1728, -419/108, 3/4, -13937/432, -53/16, -7/16, 1271/2592, 4/3, 
  113/144, -133/216, 11/64, -5/48, 5/8, -5/4, 0, -1/3, 41/24, 3/2, -41/24, 
  -7/6, 1/3, -1139/360, 0, -25/24, -25/16, 5/24, -1/6, 1/3, 67/24, -1/6, 
  29/18, 191/96, 5/2, -2, 11/4, 1/4, 553/120, 19/32, 17/72, -2473/720, 
  -41/12, -53/24, 19/8, 197/48, 0, -1, 7/12, 0, 17/12, -7/4, 8/3, -2, 9/2, 
  11/12, -1/3, -1/6, 7/2, -35/12, 10/3, 1, -5/12, 7/4, 1/3, -1, 0, -5/6, 
  -1/4, 2/3, -1/2, 0, 5/6, 3/2, 1/6, 0, -1/6, 1, 137/32, -3/4, 0, -109/32, 0, 
  3/4, -7/24, 113/32, -3/4, 1373/64, 155/16, 7/16, -1981/96, 1877/192, 1, 
  -679/96, -3/4, -35/24, 119/48, -3/4, 49/24, 677/96, -11/12, -1/6, 11/48, 
  835/96, 9/16, -247/32, -5/6, 7/24, 623/96, 1/48, -2887/192, -457/48, 
  -221/48, -205/32, 1, 1451/96, -9/8, -47/48, -1/2, -1801/192, -27/16, 17/54, 
  0, -19/27, 0, 7/18, -1/3, -21191/25920, 0, 113/216, 34151/25920, -241/72, 
  1/6, 0, -41171/25920, 1/6, -11/54, -1/3, -31/36, 5/3, 1/4, 69491/25920, 
  6929/1152, -70397/17280, -5081/25920, 1/3, 1/2, -5/6, 163/144, 1/12, 
  -17/12, 3/2, 0, 0, -4/3, -2/3, 0, 0, -5/6, 0, 10/3, 75/4, -3/2, 0, 1/24, 
  -3/4, -10/3, 1/3, 13/48, 5/3, 1/12, 0, 0, -8/9, -2/9, 8/9, -343/32, 2/3, 0, 
  1013/96, 13/3, -35/24, 283/24, -11/6, -191/24, 13/3, 7/32, -215/48, -45/16, 
  -5/96, 131/48, -129/32, -3/8, 349/96, 35/12, -25/24, -3/4, 69/16, 45/16, 
  -1/4, -97/16, 221/16, 109/48, -61/16, -683/48, -49/8, -13/8, 155/24, 2, 
  -743/30, 199/60, 1811/60, 1312/45, 127/12, 23/48, 3/4, 241/288, -3/4, 0, 
  1/2, 0, 0, 11/24, 23/96, 19/24, 0, -31/24, -113/72, 43/30, 43/24, -1013/24, 
  91/30, -4453/120, 19/20, 4723/120, 813/20, 529/72, 137/72, -4/5, -15/8, 
  5149/120, -23/6, 0, 0, 0, 0, 0, 0, 0, 449/288, 25/8, 0, 1045/144, 0, 
  -1021/144, -5/12, 0, 1/6, 1/3, 1/6, 0, 0, 0, 449/288, 83/24, -4861/288, 0, 
  1205/288, 449/288, -257/288, -5089/288, 0, -10/9, 1, -2/9, 13/18, 1019/216, 
  8/3, -2/9, 1/3, 0, 1/3, -1/3, -8/3, 361/192, -2/9, 0, -100/27, 55/72, 
  -67/36, -5401/432, -127/27, 145/32, 469/144, -469/144, 129/32, -101/24, 
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  -11/8, -1/3, -47/24, 11/6, 11/24, 3/2, -9/8, 9/8, -3/2, 1/2, 3/2, 0, 0, 
  -1/4, 1/8, -3/8, -1/4, 0, -5/12, -1/4, 7/24, 25/48, -7/12, -7/24, 0, -7/2, 
  -19/8, 1/4, 11/8, 5/8, -25/48, 7/24, 9/4, -9/8, 0, -5/4, 3/4, 0, 9/8, 1/8, 
  0, 5/8, 7/24, 1/4, -13/16, -1/2, 7/12, -17/24, 7/24, 0, 5/4, -15/8, 0, 1/4, 
  -13/8, 47/24, 51/16, 17/24, 9/8, -9/4, 1/4, 3/4, 0, -5/8, -3/4, 1/8, 3/8, 
  -1/8, 0, -5/24, 0, -3/16, 23/24, 0, 1/16, 1/8, -7/24, 13/12, 5/12, -49/16, 
  -11/8, 1/4, -3/8, 0, -1/4, 15/8, 1/4, -1/4, 0, -5/24, -3/2, -29/16, -65/24, 
  45/16, -7/12, 5/12, 113/48, 7/12, -1/2, -21/8, 1/2, -9/8, 23/12, 15/4, 5/8, 
  -17/12, 9/4, -9/4, 0, 0, 0, 0, 0, 0, -15/4, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 3/4, -1/4, 3, -3, -1/2, 0, 3/2, -1, 0, 7/4, -13/4, 
  3/2, 9/4, 7/6, 0, 7/6, 0, 0, 0, 0, 0, -11/12, 0, 11/12, 0, 11/6, 68/3, 
  17/3, 0, 0, 0, 0, 1/6, 0, 1, -5/6, 1, 0, -1/2, 1/3, 1/2, -3/2, -1/2, 0, 0, 
  17/3, 0, -34/3, 0, 17/3, 0, 0, -17/3, 0, 0, 0, 17/6, 0, 3/2, 3/2, -3/2, 
  -3/2, 0, 3, 0, 0, -2, 0, 0, -1/2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3/2, 0, 0, 0, 
  0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 1, 3/2, 
  -3, -38/3, 3/2, -3, 0, 0, 0, 0, 0, 0, -1/2, -27, -1/2, -143/2, -89/2, 
  -17/2, -17/2, 0, 1/2, 27, 89/2, 17/2, 0, 0, 9/8, 0, -15/8, 0, 0, 0, 21/4, 
  0, -21/4, 3/4, -33/8, -15/2, -3/4, -9/4, 5/4, 9/4, 0, 0, -3/2, 0, 3/2, 0, 
  -7/4, -33/8, -4, -3/4, 0, -3/4, 1, 0, -7/4, -3/4, -1, -7/4, 7/12, 3/2, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, -7/24, 7/12, 0, 0, 0, 0, 0, 0, 0, 
  0, 7/24, -7/4, 7/12, 49/16, -59/48, 9/2, 7/12, 7/32, 7/32, -35/24, 0, 
  -7/32, 0, 0, 79/96, -37/32, -7/6, 1/12, 7/12, -5/16, 253/32, -33/16, -9/4, 
  0, 1/2, -1/4, 1/2, -7/6, 1/3, 17/96, 7/12, 119/48, 23/4, -37/8, -69/32, 
  77/8, -5/3, -15/8, 0, 5/6, 0, 5/3, 99/8, -31/12, -27/4, 3/8, 3/8, 0, 0, 
  35/24, 0, -11/6, 0, 15/4, -15/4, -1/12, -7/4, 0, 17/8, 3/2, 0, 1/4, -13/4, 
  -5/4, 0, -17/8, -27/8, 1/4, 23/8, 15/8, -1/6, 5/6, 1/3, 6, 17/6, -1/3, 1/3, 
  0, -3/4, 1/4, 1/6, 1, -1/6, -1/4, -13/6, -7/4, 6, 7/3, -25/6, 0, -1/2, 1/6, 
  51/16, -5/2, -3/4, 7/2, 2, 0, 17/4, 3, -61/12, -1/2, -23/4, 1/6, 47/16, 
  -21/16, 59/12, 41/16, 3, -7/2, 0, 5/4, 0, 1/4, 35/4, 0, -17/4, -5/4, 17/4, 
  17/3, 34/3, 0, 3, 7/4, 21/2, -9/8, -43/4, -89/4, -17/8, 175/12, 17/4, 
  -15/2, 0, 65/12, 0, -53/12, -1/4, 9/8, 22/3, 27/8, 3/2, -49/4, -3/2, 29/3, 
  0, 0, 17/12, -31/6, 0, -29/12, 0, -5/12, 59/12, -4/3, -4, 31/12, 77/12, 
  35/12, -12, 11/4, -3, -25/3, 0, -7/12, -1/18, -1/4, -7/4, 1/9, -3, 3/4, 1, 
  7/12, 7/4, 7/6, -7/4, -11/18, -7/18, 1/9, 5/12, -1/4, -5/9, 1/4, 0, -3/4, 
  -29/8, 0, -1/2, 31/2, 0, -1/6, 5/12, 207/80, 41/12, 0, 59/8, -5/12, -59/8, 
  5/12, -799/80, -1537/240, 797/80, 2357/240, -27/4, 3, 1/2, -1, 0, 0, 0, 
  -419/80, 3/4, 709/80, 0, -8, 9/4, 769/80, -59/4, 3, 6, 25/3, 0, 0, 0, 5/4, 
  3/4, -15/4, 3/2, -9/4, -13/3, 1/6, -31/6, 13/3, -1/2, 3/2, 0, 0, 15/4, 0, 
  -9/4, 3/4, -21/4, -15/2, 8, -25/4, -45/2, -47/4, -15/2, 7/2, 15/2, 0, -7/8, 
  0, 43/24, -23/8, 33/8, 5, -39/16, 29/16, 4, 0, -59/12, -149/16, 89/12, 
  197/48, -103/12, 3/2, 41/16, 1, -35/8, -655/96, -3/2, -25/16, 23/48, 
  -53/32, 181/48, -1/4, 23/8, 1, -21/8, -769/96, -3/2, -33/4, 23/48, 309/32, 
  181/48, 2, 9/16, -2, 31/48, -1/2, 0, 0, 0, -6, 6, 0, -1/3, 5/6, -15/2, 
  61/12, 0, -6, 0, 0, 863/120, -3/2, -1373/120, 0, 6, 0, 0, 0, -1, -3, 3/4, 
  -3/4, -7/12, 5/6, 7/9, 3/8, 7/6, 7/12, 0, 5/2, 15/4, 7/12, -23/12, -7/12, 
  -3/2, -9/4, 3/2, 0, -1/6, -27/4, 3, 0, -149/12, 39/4, 0, 71/6, -3/4, -1/4, 
  -11/6, -1/2, 5/6, -101/12, -199/12, -7/6, -1, -109/12, -1/12, 1/6, 15/4, 
  -15/2, 71/6, 9/4, 7/2, 7/4, 25/2, 235/12, 49/12, 3, 9/2, -9/2, -3, 0, 0, 1, 
  5/2, 1/8, -15/4, -5/2, 0, 11/4, -1/8, 7/24, -17/12, -5/2, -29/24, 5/12, 
  -23/6, -7/24, 97/12, 25/24, -3/4, 1/4, 25/8, -1/4, -19/8, 29/12, 15/4, 
  -2/3, -5/3, -7/2, 7/2, 7/2, 0, -29/12, -83/24, 13/4, 641/96, 17/6, 9/4, 
  -3/8, -9/8, 35/24, 29/36, 185/96, -23/36, 1/8, -7/6, -53/72, -6, -5/8, 1/3, 
  17/12, -31/72, 4, -1/2, 0, 6, 0, -6, 0, 0, -31/40, -1, 1/3, 211/40, -1/3, 
  -11/24, 19/12, -71/48, -37/24, 0, -6, 0, 9/2, 0, 0, -1/2, -3/2, 0, 5/4, 
  3/2, -1/4, -3/4, 1/4, 0, 11/12, 3/2, 7/12, -5/12, -7/12, 1/2, 15/4, -1, 
  -15/4, 1/2, -23/12, -15/4, 17/12, -9/4, 9/4, 9/4, 0, -3/4, 0, 0, -1/2, 1, 
  -7/12, -6, -7/12, 5/6, -17/12, 35/6, 3/2, 0, 7/4, -1, 7/12, -7/3, -7/12, 
  -3/2, 9/4, 3/2, 0, 0, 0, -3, -4, 1/4, 3/4, 4, -3/4, -2, 1/2, 7/12, 2/3, 
  25/6, -1/2, 3/4, 7/6, -7/12, 1, -7/3, -7/6, -3/2, 9/2, 57/4, 23/4, -3, 
  -11/2, 29/12, -145/12, -95/12, 7/6, -3, -35/4, 9/2, 23/4, 0, 0, 1, 1, 0, 
  43/48, -5/2, -1/4, -23/16, 1/2, -1/4, -13/24, -7/12, -115/64, -89/96, -5/8, 
  -7/24, -7/24, -71/32, 25/8, -1/96, 129/32, -11/4, 7/12, 185/64, 217/96, 
  7/24, -1/2, -35/16, 7, -4/3, -9/2, 0, -2/3, 23/8, -1, 61/32, -7/8, -11/6, 
  -175/12, -1777/96, 29/12, 0, -397/40, -3, -1/24, 267/40, -5/24, -7/24, 
  29/24, -2501/240, -17/12, 0, -3/8, -3/2, 0, 41/16, 27/16, -1/8, -1/2, -1/8, 
  7/24, 5/12, -5/4, 11/16, 137/24, 7/12, 29/12, 0, 5/8, 15/4, -79/16, -15/4, 
  7/8, -7/24, -31/24, 121/48, 7/24, -1/4, -39/4, 33/16, 25/12, 9/2, 0, -1, 
  1/4, 1/8, -1/4, -11/8, -1/2, 7/12, 7/3, 5/8, 67/24, 7/6, -7/12, -7/12, 
  -21/8, -3/4, -3/2, 5/2, 15/4, 71/12, 3/2, 31/12, -10/3, -20/3, -13/12, 
  -5/4, -11/4, -3/4, 17/12, 0, 0, 23/12, 17/8, -1, -305/96, -9/8, 3/2, -31/8, 
  -11/4, -421/96, -7/6, -3/2, 11/3, 7/6, -3, -25/16, -1/8, 17/24, -5/48, 
  -3/4, 15/2, 3/2, -109/48, -9/2, 0, 1, 9/2, 2/3, 7/2, -2/3, 0, 149/60, 
  -39/8, -5/24, -42/5, 3/8, 23/6, -19/8, -29/48, -11/6, 0, -29/12, -3/2, 
  -11/12, 8/3, 1, 23/12, -15/2, -11/2, 9/2, 31/24, 55/24, 3/2, -3/4, -29/8, 
  -37/8, 5/4, 53/24, 0, 0, -13/3, -5/24, -19/3, 67/24, -3/2, -71/24, -3/2, 
  35/4, 89/24, 53/24, -11/12, -15/4, -155/24, -7/8, -3/8, -223/24, -41/4, 
  -173/24, 15/2, 17/8, 9/4, -15/2, -17/8, 0, 0, -1/4, 1/2, -7/12, -7/24, 0, 
  0, -1/2, -3/2, 3/4, 19/12, 1/6, 0, 17/12, 59/72, -29/8, -179/32, -7/36, 
  -3/4, 7/24, -7/3, -16/27, -125/96, -23/108, -7/24, 7/3, 11/27, 4, 23/12, 
  1/4, -119/72, -7/4, -41/27, -10, -13/2, 23/6, 29/4, 0, -41/20, 5/12, 41/20, 
  -5/12, 0, -43/48, -1/12, -5/24, -269/48, 17/24, 1/6, -5/4, 341/60, 37/24, 
  0, 64/5, -2, 7/4, -165/16, -2, 127/48, -701/120, -19/48, -125/48, -45/4, 
  127/8, 19/2, 143/24, -29/4, 0, 5/4, 2, -1/4, -1, -11/4, 3/4, -4, -1/2, 1/2, 
  -2, -2, -47/12, -19/12, -23/12, -13/6, -1/4, -5/3, 5/3, 1/2, -6, -25/4, 
  -1/2, 21/4, 31/12, 23/4, 35/4, -37/12, 5, 7/2, -5, 0, -4/3, -65/16, 1/2, 
  101/96, 75/16, -13/8, -215/48, -13/4, 67/24, 85/48, -307/96, -59/24, 
  -95/48, -27/8, 107/16, -17/8, -71/32, 3, 65/8, 99/32, -6, 125/32, 5/48, 
  -57/32, -133/48, 0, -15/2, 5/2, 13/12, 9/2, 0, 1, 0, -1, 0, 0, -1231/360, 
  -3, -1/24, 92/45, 7/24, -73/12, 83/24, 5101/720, 39/8, 0, -2, -3, 0, -3, 
  -1/2, 1, 15/2, -1, -9/2, 11, 77/4, 49/12, 0, 191/8, 37/4, -291/8, 63/4, 0, 
  0, 87/2, -30, 3, 117/2, 15, 0, -45, 3, 0, 0, -1/2, 2, -21/8, -1/3, 13/8, 0, 
  0, 126, 0, -126, 9, 27/2, -44/3, 0, -321/20, 0, -629/12, 0, 1/4, 0, 
  -339/20, 0, 1837/20, -178/5, 7647/40, -101/40, -7647/40, -1883/10, -329/24, 
  0, 339/40, 0, -8351/40, 385/8, 0, 0, 1, 0, 0, 0, -14/3, 0, 1/2, -2, 1/3, 1, 
  -117/8, 6, -27/4, -39/2, -53/3, 0, 39/2, 0, -4, 4, 0, 0, 0, 0, 1, 0, -8, 
  -1841/48, 4045/96, -7/2, 3/4, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -731/48, 
  425/24, 861/8, 1199/96, -149/12, 7/12, 11/3, 11/4, 0, 11/4, -643/24, 
  -2029/48, 125/16, 413/16, -109/12, 8, -268/3, 11/12, -55/12, -2, 2, -58/3, 
  4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 17/3, 0, 0, 0, 34/3, 0, 
  -257/6, 1049/12, 1, 1327/16, -257/12, 1049/24, 1/2, 1327/16, -2003/48, 
  -1067/24, 977/48, 51/2, 4925/48, -53/3, -1019/24, 833/48, -1/6, 383/3, 0, 
  0, 0, -1479/16, -303/4, -2463/16, -135/2, -1227/16, -45/4, -2755/16, -65, 
  1461/20, 1923/40, -834/5, 0, 669/5, -27/2, -4461/20, -1963/20, 7/12, 19/16, 
  -45/2, 11/16, -59/16, 31/4, -35/12, -65/32, -91/12, 7/12, 6, 121/8, -19/4, 
  -97/12, 51/4, 0, 2/3, -7/8, 11/6, 59/24, -29/12, 0, 1/12, 2/3, -7/12, 
  2531/120, 17/6, 397/20, -68/5, -29/12, 6, -5/18, 15/4, 0, -31/24, 0, 5/18, 
  4, -10/3, -15/4, 27/4, -59/4, 9, -31/2, 47/4, 17, 209/6, 179/8, 13, 
  -391/12, 25/4, -13, -229/12, -31/4, -1/3, 1/4, 27/2, 5/4, 487/16, 151/16, 
  -911/16, 4, -23/6, -221/48, -17/12, -131/16, -41/8, 1121/16, 209/48, 
  -105/8, 0, 217/4, 95/2, 0, -49/2, -1/4, 1/2, -97/2, 29/2, 17/3, -217/4, 
  -111/2, 15/4, 249/4, 8, 0, 3, 69/4, 4, -75/4, 125/12, -3/4, -65/4, -295/12, 
  -3/2, -10, -127/6, 0, 3/2, 46/3, -19/8, -46/3, 7/8, -179/72, -7/4, -199/72, 
  1/18, -13/4, 217/12, 9/4, 25/72, -9/2, 0, -1129/20, -22, -1/12, 1129/20, 
  1/12, 103/40, 778/15, -8051/80, 119/30, 217/4, -29, -561/16, -293/6, 83/8, 
  -3, 1/2, 15/2, -2, -15/2, 13/2, -1/2, -193/24, -7/2, -11, 11, 11, 0, -7/16, 
  13/8, 47/48, 1, 0, -6, 0, 12, 0, 6, 0, 7/24, 11/24, -11/8, -7/18, -5/3, 
  -7/12, 199/144, -87/8, 55/48, 67/12, 0, 19/12, -59/4, 11/3, 214/3, -41/12, 
  85/36, -151/48, 1777/48, 3/2, 0, -11/24, -1/24, -235/24, 391/120, 61/8, 3, 
  61/72, -33/4, 43/8, 17/18, -13/8, -43/4, -65/24, -583/18, 175/12, 151/9, 
  19/6, -569/24, 365/36, 22/3, 7/6, -383/96, 91/16, -5/12, 283/96, 7/3, 
  -91/24, 13/16, 761/96, -41/4, 0, 11/3, 59/4, -3, -104/3, 7/6, -11/2, 
  -347/16, -1481/48, 21/4, 0, 17/12, -23/12, 13/12, -2671/120, -23/6, 
  -457/20, 397/20, 47/12, -7, 3/2, 19/24, -15/8, -3, 11/3, -2/3, 23/24, 
  -117/8, 63/8, 207/16, 0, 4/3, -19/3, 11/3, 2993/72, -29/6, 23/36, -299/48, 
  1777/48, 3/2, 0, 10333/480, -13/4, 7/8, -3933/160, -15/8, 7/3, -10573/960, 
  -439/48, -79/12, -9629/480, 37/16, 573/32, 12913/960, -509/16, 7/12, 
  -931/96, 21/16, -865/96, -823/32, 297/32, 145/24, 335/192, 2207/192, 
  -83/12, 397/12, -101/12, -35, -471/16, 34/3, 0, 21/2, 131/8, 29/16, 165/16, 
  -19/8, -71/6, -73/6, -3125/48, 163/12, -137/16, -95/32, 145/48, 515/96, 
  95/48, 0, 1/4, 1/2, 19/6, 409/16, 7/24, 397/20, -3947/240, -29/12, 6, 7/12, 
  -25/8, -19/36, 25/8, -1/18, 1/4, -1/6, -27/8, 0, -1/2, -29/8, 0, 57/4, 
  11/12, -1/6, 7/8, 7, -53/24, -13/8, 25/8, 3, -13/4, 173/12, 251/24, -7/24, 
  37/8, 29/8, 7/6, -41/8, 1/6, 0, -55/3, -53/3, -37/8, 1/6, 33/8, -289/24, 
  29/3, 31/4, 287/24, 9/2, -211/32, -10, -665/24, -13/8, 1247/24, -547/96, 
  -497/48, -265/24, -317/48, 3049/48, 335/96, -209/4, -1691/96, 43/16, 0, 
  31/24, -131/12, -2/3, -29/40, 5/3, -101/15, 679/40, 59/40, 221/40, -79/24, 
  403/24, -17/6, -19/8, -63/8, -1/2, -503/40, -1, 5/2, 503/40, -7/4, 819/80, 
  977/120, -2789/120, -1231/60, 0, 1151/60, 9/4, 19/12, -1133/80, 5/3, 33/4, 
  373/12, 13607/240, -6, -7/4, -109/48, 61/16, 5/8, 83/16, -31/16, 95/48, 
  39/16, -313/16, -9/8, -11, 601/96, 11/4, -25, -1469/16, -331/8, -5833/288, 
  -397/48, -18253/144, 331/144, -143/6, -785/48, 8, 4829/144, 9/2, 0, 481/20, 
  -24, -11/6, 1001/40, -5/12, -2539/60, 697/30, 1447/40, 247/20, -4309/60, 
  14, 213/8, 2569/60, -3/4, -1/4, -551/15, 11/6, 61/12, 6669/160, -41/24, 
  1169/90, -2961/40, -40153/288, -469/90, -17/48, 361/32, 2263/32, -37/8, 
  -5257/80, -221/8, 3723/40, 945/32, 339/8, 3221/96, -1789/96, -3001/192, 
  177/16, -31/8, 45, -1747/40, -511/12, 131/8, -27/4, -15/2, -221/6, 0, 
  207/8, -123/4, -261/16, -101/4, -123/16, 3/16, 6137/48, -8113/48, -125/16, 
  -231/4, 2545/96, -2545/96, -327/8, 4017/40, -55/4, -8813/80, 517/8, 
  -7723/120, 1825/48, 11041/240, -125/48, 1429/16, -8857/96, 713/24, 
  -3593/32, 3721/48, 1191/40, -14599/80, 687/80, 53/8, 15319/80, 1159/24, 
  35/4, -6851/80, -741/80, -161/4, -327/10, -163/8, 71/5, -1421/24, -53/2, 
  79/6, 521/24, 187/24, 2221/24, -29/8, -1009/24, -23831/96, -549/4, 
  -5813/48, 1867/16, -969/8, 5781/80, 4339/20, -3381/80, -551/16, -2195/32, 
  2635/24, 2447/48, 877/6, 511/48, 747/10, 17537/120, -1983/80, -3043/30, -3, 
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  0, -19/16, 33/16, 0, 1/16, -19/8, 15/2, 9/4, 7/4, -5, -5/2, -7/4, 49/16, 
  -39/4, -33/16, 29/16, -9/4, 3/4, -21/4, 11/8, -5/8, -125/16, 1/2, -11/8, 
  57/16, -8, -1/4, 43/4, 39/2, 3/8, 7/8, -53/8, -21/8, 0, 21/8, 11/8, -7/4, 
  5/8, 45/16, 43/16, 45/8, 191/16, -3/8, 0, 13/8, -11/2, -5/4, -1/2, -3/2, 
  -3/2, -15/8, 1/2, 21/16, -5/16, 15/8, 105/16, 2, 2, 2, -5, 3/2, -1, -87/32, 
  -1, 151/32, -1/2, -1, -91/32, -1, 187/32, -1, -7/4, 15/8, -7/4, 5/16, 9/4, 
  7/4, -29/16, 9, 7/4, 5/8, 5/4, 7/8, 35/8, 1/8, -3/4, 7/8, -25/8, -9/4, 3/4, 
  -37/4, -7/8, -5/4, 23/2, -3/8, -3/4, 3/8, -3/4, -43/16, 63/16, -31/8, 
  23/16, 5/8, 35/4, -1, 9/8, -53/8, -1/8, 1/4, 3/8, 1/2, 5/2, 1/4, -1/2, 0, 
  1/2, 3/8, 1, 1/2, -5/4, 25/4, 0, 0, -5/4, -1/4, 19/4, 5/4, 3, 3, -29/4, 
  -35/2, -5/4, -9/4, -7/4, -6, -15/2, 1/2, 299/72, 0, 0, 0, 1, 155/96, 0, 
  -1/8, 1/8, 0, 0, 0, -1, 1/8, 0, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 233/96, 
  0, 0, -161/96, -155/96, 167/96, 299/72, -167/96, 0, -155/96, -59/48, 
  299/72, 59/48, 0, 0, 0, -1, -1/8, 113/96, -1, -11/8, 9/8, -89/96, 239/96, 
  -167/96, -3/2, 5/16, -5/16, 0, 5/16, 5/16, 17/8, 0, 3/8, 9/16, 0, 0, 0, 1, 
  13/8, 7/8, -1/16, 0, -3/4, 5/16, 0, -5/16, 7/16, -33/8, 0, 0, 0, 0, 0, 0, 
  -81/32, 47/24, 0, 0, 0, 0, 5/6, 395/32, 0, -455/32, 69/32, 395/32, 1265/96, 
  0, 0, -1505/96, -19/32, -245/12, 67/32, 23/4, 107/48, -23/24, -665/96, 
  -431/96, 107/48, 211/96, -665/96, -27/32, 0, 0, 0, 0, 0, 0, 0, 3/8, -1/4, 
  11/8, 3/4, 4, 0, 0, 0, -1601/96, -67/32, 3, -31/4, 67/32, 117/32, 41/48, 
  -17/96, -169/32, 33/32, 0, 0, 0, 3/8, -23/24, 3/16, 0, 0, 0, 0, 0, 1/4, 
  15/16, 395/32, -1/4, 0, 1/4, 0, 0, -93/16, 0, 69/16, 3/16, 0, 0, 0, 241/48, 
  81/16, 0, -179/24, 0, 0, 0, -9/32, 1/8, -3/32, 0, -7/8, 0, 0, 11/8, 39/8, 
  7/4, 21, 137/8, 377/16, 193/8, 0, -11/8, 19/4, -7, -383/16, -77/8, -27/16, 
  21/8, 1/4, -21/8, 23/16, -165/32, -93/16, 167/32, 31/32, 191/32, 0, -73/32, 
  -191/32, 0, 5/16, -33/16, -405/32, -3/8, -81/32, 3/8, 0, -2, 9/4, 9/8, 
  -9/4, 7/8, 129/16, -3/16, -25/4, -241/32, 17/2, 0, -77/16, -131/32, 0, 0, 
  3/2, -1/4, -3/2, 1/4, 21/16, -3/16, 11/4, -241/32, 3/16, 0, 1, -1/32, 0, 
  -125/48, 101/12, -5/48, -25/96, 143/48, -293/48, 4459/192, -11/96, -143/12, 
  -7/16, -477/16, -11/6, 1, -4375/192, 4639/288, 0, 12289/192, -4423/288, 
  -1295/32, 5519/192, -69/8, -5581/144, -179/24, 241/48, 1463/32, 11693/288, 
  0, 5/16, 4357/288, 0, -13/16, -4243/288, 1/2, 4267/192, -69/8, -7481/288, 
  -179/24, 6169/192, 265/48, 105/16, 4261/144, -3/4, 0, 0, -5/16, 5/4, 11/4, 
  0, 0, -1/8, 0, 1/4, -7/8, -19/8, 1/8, 39/8, -7/8, -13/8, 2, 13/8, -9/8, 
  9/8, 1, -37/16, 5/4, 87/32, 0, -13/4, -55/16, 9/32, 0, 0, 7/16, 13/16, 
  -11/16, -3/8, 0, 0, -13/16, 0, -11/16, -43/8, 43/8, 5/16, 59/32, 43/24, 
  -67/96, -21/8, 17/4, -17/4, -17/12, 0, 0, 0, 1/8, 43/24, 1/6, -65/24, 
  -17/12, -7/24, -7/48, -7/64, -7/64, -7/48, 0, 7/64, 0, 0, 0, -7/24, 7/24, 
  -3/16, -31/48, 0, 0, 3/16, -3/4, 0, 3, 0, -3, 0, 3/2, -11/2, 7/6, -257/12, 
  -17/2, 1/4, 5, 107/12, -1/2, 0, 3/16, -57/16, -79/192, 49/64, 121/64, 7/24, 
  -137/8, -7/6, -7/24, -121/96, -69/8, -241/64, 45/32, 0, 7/12, 0, 7/24, 0, 
  0, 0, 7/24, 0, -15/16, -45/64, -3/4, 17/64, 7/24, 0, -1/24, -7/24, -13/96, 
  15/16, -209/64, 33/32, 9/8, 0, 0, -17/16, 1/8, 7/16, 1, 7/24, -1/6, 
  -17/192, -7/24, -95/96, -19/8, 3/4, 21/64, -15/4, -77/192, -241/36, 
  245/192, 241/36, 0, 0, -47/64, -25/16, 1/16, 97/64, 91/48, 211/192, 39/64, 
  -115/192, 111/64, 373/192, -47/64, -25/16, 1/16, 2, 13/16, 91/48, 211/192, 
  151/64, 539/192, 111/64, -73/96, 0, 11/96, 0, -11/96, 7/24, -7/24, 0, 1/16, 
  0, -13/16, 0, -1/16, 0, -11/16, -17/16, -19/32, 53/32, -13/16, 0, 13/8, 0, 
  -13/16, 0, -15/8, -35/16, 1, -31/64, 11/24, 463/24, 0, -3/4, 31/16, -11/24, 
  9/8, 3/2, 3/2, -11/12, 0, 11/12, 0, 0, 3/8, 3/4, 3/8, 1/2, -19/24, -15/16, 
  -97/48, 19/24, -17/24, -1/6, 3/4, 13/8, 0, -17/16, -5/8, 0, 1, 5/4, 53/48, 
  -7/8, 0, 17/16, 61/48, -7/8, -11/24, -31/48, -1/32, 101/32, -3/8, -123/128, 
  641/384, 1/6, 29/128, 7/96, -59/64, 191/48, -43/24, -3167/192, 211/32, 
  8189/384, 0, 0, 0, 3/2, -133/8, 115/16, 43/16, 0, 115/64, -87/8, -6, 
  371/48, 163/24, 89/4, -91/16, 25/4, -931/48, 0, -5/16, 3/32, -3/2, -9/4, 
  47/32, 67/16, 9/4, -125/32, 497/384, -2/3, -1, -235/128, -1/6, 2261/192, 
  -19/32, -171/32, 1/16, 0, -2209/192, 157/32, 0, 9/16, -1045/384, 4/3, 
  -29/16, 0, 1/32, 445/64, 2225/192, -27/32, -171/32, 9/16, -101/32, 
  -2281/192, 163/32, 3/8, -21/128, -1981/384, -2/3, -625/384, -1/6, 0, 
  721/576, 2249/192, 9/8, -25/24, -1, -319/96, -635/64, 7/24, 17/8, 35/96, 
  -109/384, -3/2, -2507/384, 5/6, -685/64, -229/96, 509/192, -77/32, 545/96, 
  -95/32, 143/64, 185/32, -627/32, 17/96, 557/32, 0, 317/32, 187/48, -199/48, 
  -295/32, -55/32, 295/32, 17/12, 133/48, 235/32, 225/64, -763/96, -277/64, 
  23/64, 13/96, -49/48, 139/192, 301/96, 7/16, -31/64, -89/32, -109/32, 
  73/24, -85/128, 1067/192, 281/64, -7/2, -10235/384, -7/16, 1, -49/48, -2, 
  -39/16, 3/8, 551/192, -89/32, -23/32, 73/24, 2731/384, 2177/192, -849/64, 
  -179/24, -3839/384, -9/16, -1/16, 3/16, -1/16, 19/16, 9/16, 1/16, -209/16, 
  0, 0, 7219/240, 1/8, 809/960, -1/16, -2519/144, 247/64, -17/12, -7219/240, 
  -659/960, 2789/144, 7/8, -3/4, -85/48, -53/32, 5/16, -157/96, -1/8, 91/64, 
  225/64, 91/96, -235/64, -1831/60, 9/16, -1739/960, 15/8, -9/8, -23/32, 1/8, 
  21/16, 125/64, -7/16, -515/64, 9/8, 35/32, -1/8, 741/64, -3/8, 0, -85/16, 
  -1/4, 47/16, 127/64, -26/3, 85/16, 247/48, 11/2, 127/16, -4, -51/4, -9/16, 
  17/16, -1/2, 91/16, 55/64, 147/16, 55/48, 0, 9/16, -17/2, -4, 397/48, 
  77/16, -29/16, 57/16, 119/24, 49/16, 19/4, -19/16, -55/24, -271/48, 
  -337/48, 65/48, -97/4, 101/48, -39/4, 381/16, 77/16, 0, -35/24, 16/3, -3/2, 
  139/48, 11/16, 7/12, -497/48, -31/48, 63/16, -13/24, -551/48, -61/12, 
  1637/48, -11/48, 23/8, -859/24, 11/2, 11/4, -29/2, -93/16, -325/16, 25/8, 
  -9/4, -29/16, -69/16, -3/4, -137/16, -23/8, 0, 95/16, 6, 7, 237/16, -81/16, 
  3, -4, 21/8, 3/2, -101/24, -6, 3/2, -5/2, -71/16, 9/4, 1099/48, 5/4, 95/32, 
  -91/24, -23/16, -23/8, 6, -71/16, 13/16, -33/8, 1099/48, 203/48, 5/4, 4, 
  59/32, -157/16, 17/16, 25/4, 273/8, 31/16, -83/16, -9/2, -25, 21/2, -3/4, 
  -5/8, 85/16, 13/8, 457/16, 57/8, -23/8, 16, -2, -37/16, -19/8, -27/16, 
  -15/16, -39/8, 5/2, 7/16, -43/4, -1/16, 577/48, -21/16, 189/16, -45/4, 
  -3/2, -1/2, -41/32, 3, -241/32, -223/24, 0, -19/8, -1/32, 49/12, -811/96, 
  -343/24, 17/16, 371/32, 0, -31/48, -371/32, -5/12, -1809/160, -11369/960, 
  1517/160, 10039/960, -45/8, 153/64, 21/16, -389/64, 33/8, 15/8, 47/24, 
  -9/8, 49/32, -119/24, -97/32, 7/4, -43/8, -835/96, -29/8, -5/8, 21/8, 5/8, 
  0, 5/48, -283/96, -55/8, -265/48, 107/192, 175/18, 309/64, -22361/576, 
  295/96, -1239/64, 4163/128, 8687/128, 3217/144, 655/24, -3697/384, 
  -16313/192, -403/16, 7753/384, 4441/192, -31723/1152, 295/96, -33095/384, 
  34999/1152, 8631/128, -2653/96, 3937/144, 4153/144, -1/18, 777/128, 
  -3361/384, -16145/192, -1775/72, 7753/384, -15/32, -33799/1152, 295/96, 
  -24785/384, 36259/1152, 25121/384, -4985/288, 3937/144, 791/36, -1/18, 
  -1163/128, -1747/128, -2779/32, -1159/72, 9943/384, -1/8, 1/8, 1/8, 
  1629/160, 3/4, -1239/160, 1, -169/32, -3/16, -1309/160, -41/16, 0, -3/4, 
  1/64, 37/48, -9/32, -13/48, -19/64, -197/160, -41/24, 1/4, 51/64, 5/16, 
  -67/64, 3/8, 5/16, 125/16, 0, 5/16, -125/16, -5/8, -89/16, -8, 19/4, 21/4, 
  -69/16, 15/4, 5/4, -83/16, 9/2, 1/8, 0, -1/8, -1/16, -29/4, -7/8, 41/8, 
  -3/2, 125/16, -3/4, 3/8, 17/8, -9/8, -3/2, -21/8, -5/8, 0, 0, 0, 0, -1, 
  -3/8, 9/8, 14/3, 15/4, 13/12, 17/24, 29/6, -13/12, 0, -3/2, 0, 0, 0, -5/6, 
  0, -19/32, 65/24, 31/32, -9/2, -9/8, 13/96, 9/2, 29/8, 3/8, -29/8, 11/32, 
  18343/1152, -49/48, 25049/384, -13267/1152, -25337/384, -12827/576, 
  -4685/144, -2377/288, 533/18, 1165/64, 19/8, -437/16, 53/48, 133/192, 
  185/96, -247/96, 615/32, 23/32, 59/32, 131/32, -5/4, 1/16, 217/48, 211/24, 
  803/384, 137/24, -911/384, 857/128, -255/128, 41/48, 61/128, 1/8, 625/128, 
  1/16, -19/4, -29/8, 47/128, 0, -5/64, 0, -37/128, -1589/192, 39/32, 
  -1673/192, 589/96, 0, 0, -2, 0, 59/24, 149/32, 95/128, -77/32, -179/128, 
  -21/8, 439/96, -2653/192, 77/24, 1/128, 1/4, 227/128, 55/64, 0, -159/8, 
  -1781/96, 7/8, 2815/96, 811/32, -43/32, 113/8, -451/96, -677/24, 65/12, 
  -2707/96, -455/24, -83/16, 3661/96, 101/32, -1/8, -401/24, 7/8, -1/4, 
  1247/48, 3/8, 485/24, -451/96, -1585/48, 65/12, -449/48, -479/24, -47/32, 
  5329/96, 149/32, 3/8, 19/16, 47/8, 0, 0, -3917/480, 0, 3, -15/8, -7339/192, 
  1301/160, 59/48, -3, 0, -847/480, -6415/192, 1/6, 12017/960, -5/16, 15/4, 
  2003/144, 313/192, -61/24, 847/480, -3677/192, 14237/960, 74473/1440, 
  855/16, 21/32, 26263/1152, 95/48, 25169/384, -21511/1152, -8451/128, 
  7027/1440, -103561/2880, -13033/288, -6169/2880, 0, 3, 0, -1/16, -2297/960, 
  -1/4, -1663/960, 0, -3, 0, -643/960, 0, 0, 0, 3/2, 1/16, -13/32, 7/48, 
  -5/24, -77/144, -11/24, -7/24, -7/48, 0, -3/8, -15/8, -251/144, -19/24, 
  -7/48, 0, 13/32, 7/48, 3/8, 9/8, -11/8, -3/8, 0, 19/48, 1/4, -3/2, -19/16, 
  37/16, -4, 25/32, -89/24, 5/16, 0, 95/24, 1/24, 73/48, 55/12, 601/96, 
  31/48, 377/32, 3/4, -19/48, 10/3, 15/4, -95/24, -1/4, -9/4, -101/12, 
  -407/48, -245/48, -97/16, -43/12, -9/4, 9/4, -59/48, 0, 0, 7/4, 3/8, 15/16, 
  -7/4, -7/16, -15/16, 1/16, -59/24, 0, 1/6, 143/24, 101/24, 53/24, -133/24, 
  1/4, -5/2, -1/4, 5/2, 1/2, 51/8, 0, -11/4, -3/4, 0, 0, 0, 6295/288, 5/72, 
  -1/64, -9185/288, -17/18, 13/64, 359/144, -3/16, -5/24, -721/96, 6655/288, 
  2177/288, -1847/144, -1/12, -709/96, 749/192, 695/144, 13495/288, -299/288, 
  3, -5225/576, 199/288, 995/96, 521/96, -119/36, -11/4, 401/144, 0, 0, 0, 
  45/16, -1/2, 29/64, -53/16, -41/64, 5/24, 19/6, 23/48, 1/12, 0, 0, 0, 0, 0, 
  -55/24, 5/16, 165/64, -149/48, 0, 7/32, -1/2, 0, 1, -1/4, -1/2, 1/4, 0, 
  17/24, 5/8, 33/16, 95/192, 7/24, -5/24, -473/144, -7/24, 1/2, 0, -3/4, 0, 
  1/4, -35/24, 0, -37/24, 23/24, 0, 9/16, 1/16, 0, 1/8, -9/8, 7/48, 13/16, 0, 
  31/48, 17/8, -259/48, -3/2, 0, -21/16, 25/32, -41/48, 5/4, -7/48, 1687/288, 
  -13/48, 7/48, 1/4, -49/32, -21/8, -1/4, 0, 1, -31/8, -3/4, 13/4, -31/8, -4, 
  -17/8, 13/2, 81/8, -9/8, -17/8, -7, -55/12, -89/8, 143/12, 11/4, 113/8, 
  19/2, -61/6, -215/12, 39/8, 11/4, -13/2, -23/4, -35/4, -21/8, 73/6, 33/4, 
  -49/3, -141/4, 3/4, 23/4, 33/8, -49/6, -17/8, 7/24, 0, 0, 0, 21/64, 25/16, 
  -1/8, -1/32, 3/8, -13/48, 1/3, -7/24, -101/64, -31/48, -1/6, -7/48, 7/48, 
  -47/48, -7/8, 31/192, -77/64, -5/4, -7/48, 193/12, 49/48, 7/48, 3/8, 39/16, 
  15/8, -3/8, 319/32, 77/192, -287/32, 241/36, 319/32, -319/32, 7/8, 361/24, 
  659/24, -131/64, 0, 0, -1769/96, -361/24, -1775/96, 197/64, 203/24, -33/32, 
  -51/16, 0, 51/16, -59/96, -51/16, 219/32, 3, -1/16, -115/64, 3/16, -7/24, 
  -311/32, 7/4, -117/32, -159/16, -77/64, 311/32, 111/16, 0, -1/2, 0, -7/8, 
  -15/16, 31/32, 3/2, -15/32, 7/48, 5/24, 1/6, 4/3, -17/48, 7/24, 13/48, 0, 
  1/8, 15/8, 35/24, 1/3, 55/64, -7/48, -77/48, -279/16, 7/48, 3/8, -9/8, 
  -31/16, -3/8, 0, 1/16, 1009/144, -1/8, 5/8, -249/64, -9/4, -1/16, 35/16, 
  7/24, -149/192, -1/24, -25/16, 25/12, -17/24, -7/24, -7/3, 41/12, 0, 
  -73/96, -1339/576, 5/16, 11/12, 235/144, -9/8, -5/8, -641/96, 29/144, 
  325/96, 5/36, -21/16, -1/4, 187/144, 0, 47/64, 229/96, -63/64, 1237/192, 
  -35/96, 43/64, -1/8, -1/12, -725/96, -841/96, 301/96, 1/8, 7/8, -1/6, 
  -5393/384, -755/64, 0, -283/48, 1307/96, 77/32, 439/24, -13/2, 967/96, 
  23/8, 1409/384, -15/32, -201/32, -955/96, 19/4, -7/24, -25/32, 0, 11/48, 
  45/32, 9/8, 0, -355/96, -5/8, 49/192, 35/6, -43/64, -1, 131/24, -73/96, 
  5/24, 7/24, 5/3, -41/16, 3/16, -253/48, -15/16, -2867/360, -7711/288, 
  -7979/2880, 875/108, -133/96, 103/16, 45/8, 5191/288, -19/4, 0, -7/12, 
  35/6, -5/4, 127/48, -1, -3/32, -5/4, 27/32, 0, -39/8, -1/12, 11/16, 
  -325/48, -37/24, 17/12, 4/3, 1/48, -17/12, -11/12, -32/3, 0, -7, -3/2, 7/8, 
  697/48, 617/48, -145/48, -529/48, -1/6, -7/4, 239/48, 3/2, -25/8, 37/8, 
  23/8, 3/2, -359/48, 607/48, -4, -119/16, 25/16, -41/24, 85/8, -17/8, 
  167/12, -587/24, -113/48, 5/6, 7/8, 41/24, -3/2, 3/4, -15/16, 21/16, 
  -187/32, 19/8, -105/64, 47/16, -69/64, 3/4, 19/48, -175/12, 205/16, 551/48, 
  7/4, -3, 3/2, -99/32, 3/8, -1217/192, -13/8, 63/16, -701/48, -389/48, 
  -161/96, 83/6, 161/48, 1/2, -135/64, 29/32, 9/4, -95/16, 55/16, 17/8, 
  21/64, -27/16, 373/64, -3/2, 41/8, 91/24, 9/16, 161/24, -5/4, -9/4, 59/24, 
  -39/4, 31/4, 45/8, -5/6, 53/16, 271/64, 319/64, -545/64, -61/4, 95/12, 
  -407/48, -487/48, -223/96, -87/16, 273/64, -1885/96, -2, 0, -11/8, -1/32, 
  -9/4, 3/4, 7/4, -183/64, -5/8, 309/64, 17/6, 125/96, 49/48, 35/2, 55/12, 
  181/24, -173/24, 101/12, -23/16, -29/12, -3/4, 0, -1/8, 47/12, 47/16, 
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  17/6, -25/6, -1/12, 0, 3, 0, 9/8, 0, 3, -3, -3, -3, 0, 9/4, 3/2, -1, -3/2, 
  -3/2, -17/3, -17/12, 97/24, 11/4, -5/4, -3, 3, 7/12, 0, -1, 9/2, 1/4, 
  -13/4, -17/4, 7/2, 3, 1, -9/2, 3/2, 15/4, 3/4, 3/2, 1/4, -3, -3/2, -5/4, 
  9/4, 1, -1/4, -23/12, -3/2, -9/8, 41/12, 17/8, 1/6, 7/6, 29/24, 1/12, -3/4, 
  -3/2, 7/2, 3/2, -11/4, 7/6, 3/2, -19/6, -5/12, 0, 0, 0, -3/4, -3/2, 1/2, 
  -3, 1/4, -23/8, 15/4, 17/8, 1/4, 7/6, -19/24, 47/24, 35/24, 1/12, 5/8, 0, 
  3/2, -5/12, 3/4, 0, -3/4, -1/4, 1/4, 1/2, 2, 1/4, 0, -27/8, -1/2, 9/8, 
  13/12, 5/12, -1/4, -137/24, -17/6, 7/6, -17/12, -1/3, 27/8, 7/12, 1/4, 1/4, 
  7/2, -3/4, -29/4, -1/12, 1/2, -77/12, -1/6, 0, -9/4, 0, 1/4, -1/2, -1/4, 
  -3/4, -5/2, 1/4, -5/6, -1/3, 11/4, 7/12, -3/4, -3/2, -1/2, 9/4, 1/4, 1/2, 
  23/12, 0, -11/12, 3/4, 3/2, -11/4, -7/6, 0, -3/4, -3/2, -1/4, 3, 3/2, 3/4, 
  -9/4, -1/2, 1/4, 7/6, -5/2, -13/6, -1/4, 25/8, 1/2, 1/12, 1/8, 19/12, -1/2, 
  1/24, 3/4, 3/2, -7/2, -3/2, 11/4, -5/12, 5/12, -7/8, -5/24, 0, 0, 1/4, 1/4, 
  1/4, 0, -3/8, -1/4, 1/8, -5/24, -1/4, 1/12, -1/24, -3/4, -1/8, 3/4, -3/4, 
  7/12, 1/24, -1/8, 7/8, 3/8, 31/8, -1/4, -1/2, -17/4, 1/4, 3/2, 5/24, -1/2, 
  -1/4, -55/24, 3/4, 3/2, -11/24, -3/2, -7/12, -1/12, -1/4, 5/24, 1/8, 1/8, 
  -9/8, -3/4, -1, 2, 9/4, 7/4, -2, -3/4, 1/24, 35/24, -5/24, -19/6, 7/24, 
  -1/8, -2/3, 13/24, -1/24, 1/4, 3/4, 3/4, -3/4, -3/2, 3/4, -1/2, -7/12, 1/3, 
  1/4, 0, 0, 0, 0, -1/4, -1/4, 3/8, 1/4, -1/8, 5/24, 1/4, -1/12, 0, 1/24, 
  -1/8, 1/4, 1/4, 7/8, -3/8, -1/4, -3/2, 1/8, 3/4, -1/24, 1/24, -1/8, -11/48, 
  5/24, 3/4, -11/48, -3/4, -1/24, 1/24, 5/48, 1/8, 0, -7/8, 3/4, -1/2, 1/4, 
  -21/8, -1/4, 1/4, 3/4, -5/24, -5/6, -13/12, 21/16, 125/48, -25/24, 1/24, 
  5/12, -23/48, 1/24, -1/8, -1/4, -3/4, -3/4, 7/4, -3/4, 7/12, 1/3, 11/12, 
  -11/24, 0, 0, 0, 0, -3/4, -3/2, -1/8, 15/8, 1/4, 3/4, -9/8, -3/4, 1/4, 7/6, 
  -15/8, -5/12, 53/48, 1/12, 7/24, 1/8, 11/8, -3/4, -1/8, 3/4, 1/2, -53/48, 
  -7/24, 0, 0, 1/3, 9/8, -3/4, 25/24, -3/8, -5/4, -1/4, -29/24, 1/12, 0, 
  -35/16, 0, -1/12, 11/24, 41/24, -1/3, -9/8, 3/4, 3/2, -11/8, 47/24, -1/12, 
  3/16, -47/24, 0, 0, -3/8, -3/4, -1/8, 3/2, 3/4, 5/8, -9/8, -1/2, 1/8, 7/12, 
  1/4, -27/16, -19/12, -15/8, -11/16, 5/4, 1/24, -17/24, 5/24, 33/16, 5/8, 
  -3/8, -3/4, -1/4, 1/2, -3/4, 1/2, 11/8, 1/4, 41/24, 3/2, 37/16, -19/24, 
  -61/16, -1/6, -7/6, -143/48, -1/12, 3/4, 3/2, -11/4, 0, -7/6, -3/2, 2, 
  5/12, 0, 0, 0, -2, 2, 0, 0, 0, 3/2, 0, -1/2, 0, 0, -24, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -21/4, -9/4, -3/2, 3/2, 0, 0, -1, 1, -36, -1/4, -5/4, 
  1/4, 0, -1/6, -1/4, -1/6, -1/4, 0, 0, 0, 0, -1/3, 1/4, 1/3, 1/2, 2/3, 4/3, 
  1/3, 0, 0, 0, 0, 5/6, 2, -1, 11/6, 2, 0, 1/2, -4/3, -1/2, 1/2, 1/2, 0, 0, 
  1/3, 0, -2/3, 0, 1/3, 0, 0, -1/3, 0, 0, -6, 37/6, 6, -3, -1, 0, 1, 6, -5, 
  0, 0, 2, -1, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 12, 0, -11/3, 
  -22/3, 22/3, -22/3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 4, 1, 
  -11/2, 2, 17/3, 3, -2, 4, 0, 0, 0, 0, 0, -1, 21/2, -1, 16, 11/2, 1, 1, 0, 
  1, -21/2, -11/2, -1, 0, 0, -27/8, 0, -51/8, 0, 0, -9/4, 39/4, 0, -15/2, 
  -3/4, -9/8, -27/4, 3, 15/2, -45/4, -15/2, 0, -1, -7/2, 3/4, 7/2, 1/4, 19/4, 
  -9/8, -10, 3, -7/2, 2, -25/4, 0, 9/4, 19/12, 1/2, 3/2, -11/12, -3/2, 0, 0, 
  1/4, 0, -4, 4, 4, -1/2, 0, 0, 0, 0, 1/4, 0, 1/24, -1/12, -1/8, 1/4, 1/8, 
  1/8, 0, 0, 0, 0, 5/24, 0, -1/12, -11/16, 83/48, 1/4, -1/12, 1/32, 5/32, 
  5/24, 3/8, -13/32, -1/8, 1/4, -7/96, -19/32, -1/12, 13/24, -1/12, -11/16, 
  131/32, 13/16, 1/8, 1/4, -1/2, -3/2, 3/2, -1/12, -1/12, 67/96, -1/12, 
  43/48, 3/2, -7/4, 29/32, 21/8, 23/12, 3/4, -1/4, -19/48, 1/16, -23/12, 
  -9/2, 19/12, 0, -9/16, -9/16, 3/16, -1/16, 59/48, -9/16, -2/3, 5/4, -61/16, 
  35/16, -79/24, 43/16, 0, -67/16, -3/2, -5/4, 3/4, 7/2, 0, -1/16, 67/16, 
  39/16, -7/4, -47/16, -15/16, 0, 0, 0, 0, 0, 0, 0, 1/2, 3/4, -1/4, -1/6, -1, 
  1/6, 3/4, 7/3, -15/4, 2, -1/6, 1, 0, 1/2, -2/3, 3/2, -1, 1/4, -1/2, -9/4, 
  0, 35/4, -3, 4, 1/2, 19/4, -2/3, 7/4, 1, -53/12, -11/4, 1, 1/2, 1/4, -33/4, 
  -87/2, 34, 33/2, -1/4, -43/12, -29/4, 43/12, 1/3, 2/3, 0, -15/2, -79/4, 
  -15, 0, 73/4, 101/4, -1/8, -121/12, 19/4, 15/2, 0, -47/12, 0, 11/12, 0, 0, 
  -5/6, -1/8, 0, 11/4, 0, 5/6, 0, 0, -47/12, -19/12, -3, 7/6, 3/2, 5/12, 
  -17/12, -7/6, 11/4, -73/12, -44/3, -13/6, 75/4, 25/4, -8, 43/3, 0, 7/12, 
  2/9, -1/4, -4, -4/9, -1, 4, -1/2, -13/12, 4, -7/6, -4, -8/9, -169/36, -4/9, 
  -5/12, -1, 161/36, 15/4, 19/3, -227/24, -33/4, 39, -275/12, 75, 98/9, 
  -397/36, 25/72, 4903/720, 193/36, 2/9, 475/24, -41/72, -475/24, 25/72, 
  -7597/240, -4267/240, 19153/720, 16661/720, -37, 1, -2, 1/2, 11/3, -11/3, 
  -49/6, -1569/80, 139/24, 2229/80, -41/3, -15, 467/24, -851/80, -79/2, 4, 
  12, -43/3, 0, 0, -1, -15/4, 3/2, 77/4, 19/2, 7, 10/3, 5/6, -125/6, -7/3, 0, 
  0, 0, 0, -69/4, -15/2, -3, 45/4, -5/2, -1, 65/2, 73/4, 3/2, -61/4, 0, 0, 0, 
  0, 15/8, 1, 3/8, 31/8, -71/24, 1, 39/16, -107/48, -1, 1/2, -29/4, 199/48, 
  -97/12, -449/48, 33/4, -3/2, -31/48, 5/6, -3, 11/96, 5/4, 125/48, 1/48, 
  -17/96, -31/16, -11/2, -71/24, 5/6, 7, 557/96, -9/4, 55/8, 1/48, -125/32, 
  -31/16, -3/2, 15/16, 5, 47/16, 7/2, 0, 38/3, 0, 6, -6, 623/18, -163/3, 
  77/36, -62, 401/36, -47/6, 6, 47/6, 667/12, 3059/360, -397/12, -11159/360, 
  47/6, -6, -37/6, 0, 1/4, 3/2, 3, 3/4, -3/4, -1/6, -7/3, -13/36, 5/8, -1/6, 
  -1/12, -1/4, -3/2, -3/2, 1/6, 7/6, 1/12, 0, 0, 0, 0, -13/12, 1/2, -3, -3/4, 
  13/6, -1/2, 3, 7/6, -3, -1/4, 7/12, 2, 1/6, 19/6, 4/3, 5/12, 1/2, 7/12, 
  -1/6, 13/12, -1/2, 3, -29/6, -6, 5, -1/4, -11/2, 1/6, -5/6, 0, 0, 0, 0, 0, 
  -1/8, 0, 7/2, 1/2, 3/4, -7/2, -3/8, -3/4, 0, 1/12, 85/24, 9/2, 11/6, 
  -97/24, -20/3, 1/24, -95/24, 35/24, -5/8, -5/2, 13/8, 5/2, -1, 1/3, 3/2, 
  -143/24, 7/24, 1/2, -1/2, -1/2, 5/8, 1/12, 7/3, 27/8, 83/96, -8/3, 7/4, 
  -5/12, -3, -11/6, -37/24, -257/96, 35/24, -23/6, 25/24, -5/8, 4, 1, -1/6, 
  1/6, 13/24, -1/4, 1/2, -4/3, -6, -14/3, 6, 6, -365/72, -53/20, 1, 115/72, 
  73/120, -73/36, -1/6, -55/24, -613/144, -49/18, 4/3, 6, -5/4, -9/2, 3/2, 0, 
  3/4, 3/2, 1/4, -3, -3/2, -1/2, 9/4, 1/4, -1/4, -23/12, -3/2, 1/6, 7/6, 
  1/12, -3/4, -3/2, 7/2, 3/2, -11/4, 7/6, 3/2, -5/12, 0, 0, 0, 1/4, -11/4, 
  -7/2, 1/2, -3, 3, 5/12, 7/2, -1/6, -1/3, -1/12, -1/12, 0, -1/4, 3/2, -7/2, 
  1/6, -7/6, 1/12, 0, 0, 0, 0, -1/4, -1/4, 7/2, 4, 7/4, 1/2, -8, -3, -3, 3/2, 
  1/6, -23/12, -37/6, -5/4, 19/2, 37/12, 7/12, 2, -41/12, 1/6, -1/2, -4, -5, 
  3, 10, -3, 5/6, 23/6, -55/12, 1/12, 0, -1/2, 0, 0, 0, -1/4, -7/4, -1, 1/4, 
  -41/24, 2, -3/2, 11/4, 3/2, 3/4, 25/24, 5/24, -21/64, -91/96, 1/8, 1/24, 
  1/6, 9/32, 11/4, -59/96, 15/32, -3/2, -5/24, -113/64, 131/96, -1/24, -3/8, 
  -17/4, 3, -13/24, 0, 3/8, -17/8, -29/12, -45/8, 119/32, 23/4, 55/24, 
  127/12, 845/96, -3, -383/72, -3461/120, 3, 401/36, 1407/40, -179/72, -1/12, 
  -55/24, -27263/720, -49/18, -1/8, 9/16, 3/2, -9/8, 9/32, 149/32, 37/8, 9/8, 
  -11/4, -17/48, -7/6, 7/4, -1/8, -49/12, -1/12, -59/48, 1/8, -33/16, -3/2, 
  153/32, -21/4, -9/8, 17/48, 11/48, -181/48, -5/48, 3/2, 3, -45/32, -5/6, 0, 
  -1/4, 7/8, 5/4, -1/2, 0, -9/2, -3/2, 1/6, -29/24, -11/8, 13/12, 77/24, 
  1/12, 1/3, -3/8, 0, -1/2, 1/4, 7/4, 9/4, 1, 5/12, 1/3, -19/12, 1/12, 1/4, 
  -1/4, -1/4, -1/4, 0, 0, 5/6, -7/24, -9/8, 13/96, 23/8, 4, 83/24, 7/2, 
  47/32, 7/6, -4, -29/8, -7/6, 25/8, -23/4, 0, -89/24, 157/24, 5/4, -3, 13/4, 
  1/3, 0, 35/12, -25/8, -35/8, -59/6, -31/4, 5/12, -605/36, -287/120, 17/4, 
  607/36, 127/20, -5/36, 365/12, 17/24, -755/144, -407/72, -35/12, 13/72, 
  11/8, -5/6, 7/36, 3/2, 61/36, 3, -3, 0, -47/12, -175/24, -3/2, -33/4, 
  -75/8, 13/4, 21/4, 11/3, 1, -7/8, 125/24, 41/24, 233/24, -19/6, -11/8, 
  31/12, 5/4, 19/8, -41/24, -29/6, -55/12, 3/2, -103/24, -3, 31/4, 155/12, 
  37/4, 215/24, -31/4, 25/8, 0, 3, -25/8, 0, 1/4, -3/2, 3/2, 1/12, -5/24, 0, 
  1/2, 2, 7/4, -1, -5/6, -2/3, -1/4, 5/6, 5/36, -51/8, -65/32, 7/36, 31/8, 
  2/3, 35/24, 31/108, 231/32, 29/108, -2/3, -29/24, -25/54, -4, 77/12, 4, 
  263/72, -13/8, 17/108, 11/4, -23/4, -1/2, 1/4, -23/9, -553/60, 247/36, 
  553/60, -155/36, 187/36, 211/48, 5/12, -299/36, -4217/144, 43/9, 5/24, 
  -455/72, 6211/360, 49/18, -28/3, 761/20, 33/2, 299/24, -237/8, -9/2, 
  -95/48, -857/240, -79/8, -49/24, -157/4, 111/2, 11/2, 221/12, -1/4, 1/2, 
  -15/2, -3/2, -4, 11, 1/2, 5, -19/2, -5/2, -1, 37/4, 9/4, 331/24, 161/24, 
  -1/12, 7/6, -3/4, -227/24, -2/3, 15/2, 23/4, -3, -9/4, -27/4, -199/12, 
  -17/4, -3/4, 109/12, -11/4, -11/4, 11/4, -1/4, -17/8, 101/48, -21/8, 
  -29/96, -85/48, -1/8, 181/48, 5/4, -3, -71/16, 863/96, 39/8, -71/48, 43/12, 
  -99/16, 5/4, -81/32, -3, -35/4, 317/32, 12, -191/96, 31/48, 189/32, 11/16, 
  1, 3, -7/4, -25/12, 0, -47/18, -1, 47/36, 1, 47/36, 307/18, 4081/540, 4, 
  -158/9, 163/1080, -7/3, -709/24, -79/24, 11323/2160, 157/36, 47/18, 5/2, 3, 
  -247/36, 0, 1/4, -3/2, -3, 11/2, 0, 15, 233/2, -7/12, 1, 265/8, -4, -233/8, 
  -9/2, -145/2, 0, -21, 21, 0, -12, 12, 0, 12, 0, 0, 0, -1/2, -5/2, 75/2, 
  11/6, -37, 0, 0, -623/2, 72, 623/2, -27, -27, 80/3, 0, -1109/30, 0, 
  -5287/18, 0, -7/4, -72, -241/30, 72, 839/15, -1231/10, 3211/20, -659/60, 
  -3211/20, -9073/60, -1427/18, 44/3, 241/60, -44/3, -6619/60, 403/4, 0, 0, 
  -2, 0, -3, 0, 2/3, -2, 1/2, 2, -11/6, -1/2, -9/8, -33/4, 0, 31/2, 97/6, 
  5/4, -31/2, 0, 4, -4, -2, -4, 0, -26/3, 12, 3, -6, 1441/24, -3973/96, 
  -31/16, -2/3, 0, 1, 1/6, 0, 44/3, 70/3, -1/8, 5/8, -1, 2, 1, 499/24, 
  -1165/48, -7247/16, -1463/96, -31/48, -1/12, -1/6, -1, 3/4, 1, 485/12, 
  11191/48, 309/16, -457/16, -31/24, -2, 136/3, 1/3, -5/3, 12, -27/4, 34/3, 
  7/4, 0, -1/3, 0, 0, 1/6, 0, 0, -49/2, 0, -1, 0, -23/2, 0, 1, 0, 1/3, 0, 0, 
  0, 2/3, 0, -1631/12, 7/3, -23/4, -23/2, -1631/24, 7/6, -23/8, -23/2, 
  -25/12, -1943/48, 7/12, 73/16, -131/12, 113/12, -2423/48, 55/12, 587/48, 
  -53/12, 0, 0, 0, -21/16, -111/2, 279/16, -153, -561/16, 171/2, 11/16, -203, 
  -1007/10, -3307/40, -1031/20, 1879/6, -796/5, -2387/12, 107/10, 33851/60, 
  1/6, -9/16, -12, 17/16, -287/16, 69/8, 1/6, 113/32, -2/3, -1/12, 7, 45/2, 
  -29/8, -103/24, -3/2, -3/8, 19/8, 73/24, -43/24, -71/24, 3, 383/36, 
  -859/36, -907/36, 1/3, 25103/360, 49/9, 3461/60, -709/15, 9/2, -6, 4/9, 
  -3/2, -5/6, 11/48, 1/16, -4/9, -5/2, -2/3, 0, -17/4, 85/4, 21/4, 35/4, 
  -43/2, -41/4, -97/12, -75/8, -1, 37/3, 17/4, 39/4, 17/4, -17/4, 0, 1/2, 
  -19/4, -7/4, 69/4, 159/4, -93/4, -3/4, 4, -71/2, 1/6, -20, -25, 51/4, 
  143/4, 21/2, 0, -253/2, -225/4, 89/2, 431/6, -41/4, 3/4, 273/2, -77/4, 
  -2/3, 253/2, 619/12, -383/12, -567/4, 14/3, -3/2, 3, 3, -47/2, -3, -67/6, 
  -15/2, 23/4, 71/6, -9/2, 47/2, 19/6, 0, 7/8, -89/4, -25/2, 89/4, 93/8, 
  49/36, 7/4, -239/18, -2/9, -103/24, -95/6, -37/4, 403/36, 17/4, 76/9, 
  -9379/120, -30, -2215/72, 9379/120, 1607/72, -347/15, -92/15, 1739/180, 
  21001/720, 2311/24, -459/2, -327/4, -10153/144, 233/4, -21/4, -17, 21/8, 
  15, -27/8, 71/8, 17, 175/24, -29/8, 11, -11, -11, 0, 23/16, -19/4, 61/48, 
  2, 0, 6, 155/12, -12, -155/12, -6, 0, -7/24, 1/6, -3/4, 11/36, -5/8, 1/12, 
  239/144, -79/12, -17/16, -1/4, -3/4, 17/4, 169/12, -61/12, -45, 73/12, 
  101/9, -925/48, -845/48, -23/2, 4121/72, -3487/72, -595/72, -1117/12, 
  1753/360, 1393/72, -15/2, -305/36, 21/4, -413/16, 1921/72, 29, 35/2, 
  685/48, 2711/144, -469/48, 151/72, 115/12, -41/48, -253/72, -97/12, 4/3, 
  -505/96, 95/16, -11/6, -175/96, 2/3, -11/6, 0, -185/96, -59/16, -1/4, 
  -49/4, -83/6, 89/12, 187/6, -19/3, -25/4, 471/16, 119/16, 11/2, -221/36, 
  73/9, 217/36, -49/3, -21713/360, 109/18, -3611/60, 1587/20, -43/12, 3, 5/4, 
  361/48, 13/16, 17/16, 43/48, -47/24, 29/48, 17/4, -27/16, 25/16, -3/4, 
  17/4, 79/24, -61/12, -2021/72, 6, 809/72, -233/48, -851/48, -87/8, -407/24, 
  12051/160, 19/4, 295/12, 1357/160, -39/4, 7/24, -19543/960, -447/16, -47/6, 
  -5883/160, 23/2, 1147/32, 6761/320, -53/2, 8/3, 629/48, -629/32, 91/24, 
  1019/8, -551/32, -187/24, -623/192, 1477/192, 221/48, -130/3, 3793/96, 
  895/32, 509/16, 31/24, -15/8, -5/8, -49/4, 49/32, 339/32, -13/8, 353/24, 
  58/3, 305/12, -40/3, 487/32, 9/16, -455/96, -383/32, -169/96, -20/3, 
  -1367/72, 397/36, 94/3, 4091/48, 0, 3461/60, -53951/720, 14/3, -6, -7/12, 
  -8, 13/36, 8, 2/9, 1/4, 0, -33/4, 313/12, -275/12, 71/8, 0, 917/12, -1/6, 
  0, 5/8, 0, 233/24, 111/8, 127/8, 8, 5/8, -193/24, -677/24, -19/12, -31/8, 
  -31/8, 0, 31/8, 0, -121/6, 97/6, 71/4, 17, 25/12, 11/3, 283/24, -18, 
  239/24, 209/24, 3/4, -869/96, -10/3, -1/24, -577/8, 7/6, -877/96, -31/48, 
  13/24, 473/48, -305/24, 703/96, -21/8, 575/96, 25/8, 623/9, 3/2, 275/12, 
  -212/3, 4091/90, 77/18, -49829/360, -13199/360, -4091/90, 4333/120, 7/2, 
  -395/24, -13/24, 11/8, -35/24, -277/12, -7459/120, 1, 931/24, 7159/120, 
  -68/3, 9797/240, 1669/40, -6187/60, -2629/40, 211/18, 974/15, -19/6, 
  -211/36, -6703/80, -523/36, -41/4, -239/12, 39451/720, 139/9, 1/2, -17/16, 
  197/48, -11/2, 181/16, 45/8, -47/48, -221/48, 43/48, 163/24, -20, 2683/96, 
  7/6, -175/4, -2405/48, -1/2, 11773/288, 1165/48, 3049/144, -2563/144, 
  -129/4, 617/48, -20, 1519/144, -53/2, 107/18, -427/60, 57/2, 659/18, 
  -2969/40, -1093/72, 1843/180, -8131/360, 43153/360, -263/20, 4742/45, -39, 
  262/3, -37981/360, -117, 53/36, -28367/180, -101/12, -199/72, 259111/1440, 
  745/24, -1637/180, 11461/360, -37147/288, -371/360, -1/48, -797/32, 
  -359/32, -105/8, -15067/80, 1355/12, -621/20, -1349/32, -3091/24, -3059/96, 
  -1709/96, 253/192, 171/8, 113/8, -1441/24, 7223/40, 154/3, 1817/12, 27/2, 
  -6, -13/6, 0, -123, -179/2, 1275/8, 987/8, 91/4, 57/8, 8719/48, -1219/24, 
  -433/16, 21/2, 5453/96, -5453/96, -169/2, 1363/10, 93, -15277/120, 575/2, 
  -32567/480, -503/24, 4753/120, 5773/96, -1229/16, -6899/96, 1163/12, 
  2585/32, 491/48, 3461/40, -76279/480, -5143/80, 19/8, 71959/480, 4255/24, 
  -689/8, -10951/80, -3851/80, -161, -2008/15, 583/8, 1767/10, -455/24, 15, 
  251/24, -1079/24, -245/12, -61/3, -15/8, -1015/12, 22115/96, 7451/16, 
  5591/48, -1247/4, -10429/48, -8551/120, 8977/60, -4567/60, 3721/16, 477/32, 
  2195/24, 1559/24, 493/12, 383/12, -6809/30, -2407/80, 3307/80, 25531/240, 
  -51/4, -16967/48, 1483/96, 214709/480, 48131/320, 91351/720, 0, 0, 0, 0, 
  3/4, -3/4, 0, -3/2, 0, 0, 0, 3/4, 3/4, -3/2, -3/2, 0, 0, -3/4, 0, 0, 0, 0, 
  0, 0, 1/4, 1, -1/4, -1/4, 0, 0, 1/4, 0, -1, 1, -5/4, -1/2, 1/4, 1/2, 1/4, 
  1/4, 1/4, 1/4, -1/4, -1/4, -1/2, 1/4, -1/4, 1/2, 0, -1/4, -1/4, 1/4, 1/4, 
  1/2, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, -1/4, 1/8, 0, 1/8, 0, 0, -1/8, 0, 
  -3/8, -1/2, -1/8, 1/4, 0, 1/3, 3/8, 5/12, -1/8, 5/8, 0, 0, -19/24, 1/8, 0, 
  -1/8, 1/8, -1/8, -1/8, 1/8, 1/16, 3/16, 1/16, 0, -1/2, -3/16, -1/4, 0, 
  -1/24, -5/48, -1/24, 0, 5/48, -1/48, -1/48, -1/16, -3/16, 0, 3/16, 3/8, 0, 
  1/24, 5/48, -5/48, 1/48, 0, 0, -1/8, 1/2, 1/2, -1/2, -3/8, -1/4, 0, -1/24, 
  -1/3, -5/24, 1/4, 1/6, 1/8, 1/6, -1/3, 1/24, 0, -3/8, 0, 3/8, 3/4, 0, -1/3, 
  5/24, -5/24, 1/3, 0, 0, 0, 1/2, 0, -1/2, 1/4, -1/2, -5/24, 0, 5/12, 1/8, 
  1/6, -1/6, 1/24, 0, -1/2, 0, 1/4, 0, 5/24, -1/24, 1/6, 0, 1/4, 1/8, -1/4, 
  1/8, -1/16, -5/48, 1/16, -1/6, 0, -3/16, -1/4, 0, -1/48, 1/48, 1/24, 1/12, 
  -1/4, 0, 1/8, 1/6, 1/6, 1/4, 0, -1/12, 0, 0, 0, 0, -3/4, 3/4, 0, 0, 0, 0, 
  3/4, 0, -3/4, 0, 0, 0, -3/4, 3/4, 0, 0, 0, 0, -3/4, -7/4, 0, -1/4, 0, 0, 0, 
  0, 3/4, 0, -3/4, 0, 3/2, -3/2, 0, 0, 0, 0, -3/4, -3/4, 3/2, 0, 0, 0, 0, 
  13/32, 0, 0, 0, 65/16, 53/16, -65/16, 0, 0, 0, 0, 0, 0, 3/2, 3/4, 3/4, 0, 
  -3/2, -2, 0, 3/2, 5/4, -3/4, -3/2, 0, -1, -1/4, 3/2, 1, 0, -3/2, -5/4, 0, 
  0, 0, -3/4, -3/4, 3/2, 0, 0, 0, 0, 0, 3/4, -3/4, 0, 0, 5/8, 0, 0, 0, 0, 
  3/4, -3/4, -3/4, -5/2, 0, 0, -3/4, 11/8, 1/8, 1, -1, -5/4, 0, 0, 0, 1, 3/4, 
  0, 0, 0, 0, 0, -11/4, 7/4, 3/4, -3, 0, 0, 0, 0, 0, 0, 0, 13/32, 0, 0, 0, 
  65/16, 53/16, -65/16, 1/2, 3, 67/32, -1/2, -91/32, -1, 3/2, 67/32, 1, 
  -91/32, 3/4, 3/2, 0, 1, 1/4, -3/2, 1, 1/2, -1/4, -3/2, 5/2, -1/2, 1/4, 3/2, 
  -5/2, 0, 0, 5/8, 2, 3/4, -3/4, 3/4, 3/2, -3/4, 11/8, 1/2, -3/2, -9/8, 9/8, 
  -3/4, 11/8, 2, 1, -15/8, -3/4, 3/4, 7/4, -1/2, -1/8, 3/8, 3/8, 0, 0, 0, 
  3/8, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/2, -1/2, 0, -1/4, -1/2, 
  1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -117/32, -53/16, 0, 117/32, 0, 0, 0, 0, 
  1/8, 1/8, 0, -1/8, 0, -13/8, -13/8, 0, 13/8, 0, 0, 7/8, 3, -1/4, -7/8, 0, 
  0, 0, 0, -25/32, 0, 9/8, 9/4, 0, 0, 0, 0, -3/8, -1/4, -5/8, 7/8, 0, -3/2, 
  -3/2, -3/2, -3/2, 0, 0, 3/4, 0, 7/8, -1/4, 1/16, -9/8, -1/16, -7/4, -7/8, 
  27/16, 7/4, 0, 3/4, 0, 0, 0, 3/4, -1/4, -1, -1/4, -7/8, -5/16, 7/4, -9/4, 
  3/4, 1/16, 5/2, -11/8, -7/8, 7/8, -7/8, 0, 0, 0, 0, -5/8, 1/16, -9/8, 
  -13/16, 1, 2, -1, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -3/2, -27/16, -3/16, 7/4, 
  3/2, -1/4, 3, 27/16, -7/4, -3/2, 0, 0, 0, 1/4, 1/2, 1, -3/4, 0, 1/4, -1/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27/16, -5/8, 3/16, 33/8, 1/2, 0, 
  0, -1/2, -1/2, 0, 1, 0, 0, 1/2, -1/4, -1/4, -3/4, -1/4, 1/4, 1/4, 1/2, 1/4, 
  -1/4, -1/2, -1/2, -13/32, -117/32, 9/32, -21/8, 0, -11/16, 13/32, 117/32, 
  0, -13/32, 0, 0, 0, 0, 0, 0, -3/16, -27/16, 7/16, 23/8, -1/12, 13/16, 0, 
  -5/32, -9/16, 0, 0, 9/16, 0, -65/32, -13/8, 0, 65/32, 0, 0, 3/4, -3/16, 
  -27/16, -13/16, 7/16, 23/8, 13/16, 1/12, -3/4, 0, -11/8, 0, -1/2, -3/4, 
  3/4, 1/4, 1/4, 1/2, -1/4, -1/4, 0, -9/4, -15/8, -1/4, 43/32, 0, -3/2, -1, 
  9/8, 5/4, -7/4, 9/2, 13/4, -3, -3, 3/8, 0, -5/8, 3/4, 0, -9/2, -3/2, -31/8, 
  -3/4, 13/8, 3/2, 25/4, 21/4, -3, 35/8, -13/8, -25/4, 5/4, 3/2, 3/2, -17/8, 
  -11/4, -5/8, -9/2, -11/4, 19/8, 3, -7/8, 0, 5/4, -1/8, 0, 3, 3/2, 9/2, 1, 
  -1, -3/2, -6, -51/8, 3, -11/4, 0, 23/8, 33/8, -5/4, 1/2, 3/8, 1/4, 3/8, 
  1/8, 0, -3/8, -1/4, -1, -5/8, 0, -1/16, 13/4, 3/4, 0, 0, -7/8, -1/2, 1/16, 
  3/8, -1/16, -7/4, -17/8, 3/16, 7/4, 3/4, -3/2, -9/4, -3/4, 0, 1/4, -1/2, 
  -1/16, -1/2, -3/16, -1/2, -17/8, -1/16, 9/4, 1/4, 1/4, -3/2, -1/16, 5/4, 
  13/4, -3/4, 3/4, 9/4, 3/4, 1/4, 1/4, 1/2, 1/8, 3/2, 5/4, 0, -15/4, 3/16, 0, 
  1/4, 1/4, 7/8, -1/2, 1/16, -11/8, -5/16, -2, -7/4, 11/8, 7/2, -15/4, 3/2, 
  7/16, 15/4, 1/4, 3/8, 0, 43/16, 1/16, -61/24, 1/8, -29/8, 43/16, 37/16, 
  -61/24, -17/8, -9/16, -3/8, -19/16, -1/4, 29/24, 19/12, -9/16, -1, 3/4, 
  5/8, 29/24, 13/8, 5/8, 21/16, -17/16, -1/24, 3/16, -1/2, 0, 1/16, -9/8, 
  -13/16, -1/2, 0, 31/12, 3/8, -13/8, 2, -4, -2, 4, 7/16, 1/4, 7/8, 3/16, 
  -3/16, -7/16, -1/2, -7/16, 5/16, 7/16, 1/2, -5/16, -9/16, -7/16, 3/4, 5/3, 
  -1/16, -57/16, 17/16, 7/4, 1/4, -1/4, -1/4, 0, 0, 0, 3/8, 0, 0, 0, 0, 3/8, 
  1/2, -1/2, -5/2, -1/4, -3/16, 7/4, 5/4, 0, 61/12, 35/16, -5/2, -9/4, -9/4, 
  -7/16, 0, 10/3, 3/4, 0, 0, -1/16, -7/16, -3/8, 3/16, 5/48, 5/24, 1/16, 
  -13/48, 1/24, 1/48, 1/16, 7/16, 0, -1/48, 0, -1/24, -13/48, 1/48, -1/48, 0, 
  0, 0, 11/4, 9/8, 3/4, -9/8, -9/8, -11/4, 3/8, -33/8, -25/16, -31/8, 13/8, 
  65/16, 37/24, 11/8, -5/2, 9/8, -1/4, 9/16, 31/16, 11/32, 9/16, 0, 1/8, 
  -17/8, -25/16, -9/8, -3/8, 15/16, 1/24, 37/24, 11/6, 0, 0, -11/16, 9/16, 0, 
  49/96, -1/2, -1/4, 1/2, 1/4, 1/8, 5/8, -1/4, 1/2, 1/4, -1/2, -11/16, -9/16, 
  -27/32, 9/16, 3/16, 0, 9/4, 37/12, 39/4, -21/16, -5/2, -209/48, 0, 159/32, 
  -193/96, -1, 2, -37/48, -53/8, -3/16, -143/32, 67/24, -1/16, -11/8, 7/16, 
  -1/8, 41/32, 13/32, 3/8, -3/16, 0, -1/48, -11/8, 1/48, 33/8, -3/16, -1/12, 
  1/48, 1/16, -1/4, -151/32, -23/48, -87/32, 0, -1/24, 63/32, 5/16, -1/48, 
  13/8, 143/32, -13/8, 3/8, 21/16, 5/4, 7/16, 45/16, 15/4, -3/16, 9/8, -21/8, 
  -7/2, -49/16, -199/24, -3/8, 9/4, 109/24, 0, 5/16, -111/32, -155/16, 
  -35/48, -17/24, 1, -13/24, -9/32, 13/12, 329/48, 29/16, 143/16, -53/12, 
  -7/8, 1/8, 5/4, -21/16, 7/2, 9/8, 3/8, -41/12, -7/2, -1/4, -169/24, -3/8, 
  -13/24, 9/4, 115/24, 0, 7/8, -5/4, -157/16, -3/8, -77/24, 0, 167/32, 
  -55/96, 35/24, 109/16, -1/8, 143/16, 0, -33/8, -1/8, -3/4, 31/16, -3/16, 
  -15/8, 0, 53/16, 11/4, 5, -1/8, -7/2, 11/8, 109/16, 23/8, -31/16, 0, 1/2, 
  3/4, 19/16, 1/8, 0, 25/4, 9, 0, 0, 1, -1/8, 25/16, 1/2, 13/16, -15/4, 1/2, 
  7/2, 83/16, -19/8, 0, 25/4, -1, 0, 5/8, -121/16, 125/16, 5/3, 22/3, -33/4, 
  -3/8, -49/8, -13/3, 1/4, -1/8, 1/2, -3/8, 0, 1/12, -1/2, 5/48, 1/24, 23/12, 
  -31/24, 101/48, 0, 35/12, -49/16, -13/8, 1/8, 0, -1/8, 5/16, 0, -1/8, 
  51/64, 5/16, 3/8, 15/64, 0, -31/48, -1/12, -1/24, 13/96, -1/6, 1/24, 
  -221/96, 19/16, -1/3, -69/64, 0, 79/96, 31/24, 3/8, 3/8, 0, -3/8, 1/16, 
  3/16, -19/64, -3/16, 15/64, -1/12, 0, 5/96, -1/16, 11/24, 7/4, -29/24, 
  85/32, 27/16, 97/48, -53/64, 35/12, -91/32, -97/48, -41/24, 1/2, 3/8, 0, 
  -1/2, 1/8, 3/16, -23/64, -3/16, 15/64, 1/6, 0, -19/96, -1/16, 11/24, 3/2, 
  -1/2, 39/32, 27/16, 1/16, -29/64, 19/12, -79/32, -9/16, -19/12, -11/12, 
  7/8, 2/3, 3/8, -15/16, 7/12, -5/4, 11/4, -7/12, -29/16, 0, -1/4, 13/16, 
  -1/2, 57/32, 15/32, -23/24, -21/8, -103/48, 29/24, -7/4, -11/16, 11/16, 
  7/4, 0, 1/4, 9/4, -1/2, -5/16, -19/32, 0, -5/6, -21/8, -13/12, 29/24, 
  -21/8, -21/16, 33/16, 11/16, -29/32, -1/2, -73/16, 61/16, -1, 43/16, 11/12, 
  -137/16, -9/8, 83/16, 163/48, 227/48, 227/48, -69/16, 77/16, 3, -3, -77/16, 
  0, -1/2, 15/4, 1, 37/8, 7/2, -33/8, 1/2, 0, 1/2, -49/8, 1/2, 1/4, -1, 0, 
  1/2, -1/4, -1/8, -17/24, -25/48, 43/48, 7/48, 1/12, 5/24, 7/16, 1/24, -1/2, 
  0, 3/4, 0, -1/4, 5/6, 0, -7/12, -1/3, -1/2, 1/8, -7/8, 11/16, 7/64, 9/8, 
  -31/64, 1/8, 5/24, -23/48, 29/48, -23/32, 1/24, 1/12, 1/2, 0, -1/3, 0, 
  -1/4, -1/4, -3/16, 7/8, 9/8, -23/64, 3/8, 15/64, 5/6, 1/4, 1/24, 11/16, 
  11/96, -7/12, -23/48, 3/8, -3/8, 1/4, -3/16, -1/4, 1/3, 3/8, -1/12, -17/24, 
  3/4, 0, -3/4, 1/2, 7/16, -7/16, -1/2, 0, 1/2, -1/4, 0, 7/48, 1/16, 1/6, 
  1/2, 0, -1/4, -1/3, -1/2, -1/4, 1, -1/4, -1/2, 1/2, 1/8, 5/24, 1/8, 
  -119/48, -85/48, -7/8, -1/12, 7/16, 1/24, 1/6, 41/24, 37/24, 1/24, 1/2, 0, 
  0, -3/4, 0, 1/4, -1/3, -11/16, 37/48, 1/12, 65/96, 0, 1/8, 0, 0, 15/64, 0, 
  -23/64, -29/48, -1/8, -47/96, 1/24, -1/4, -1/16, 3/16, 0, 1/16, 5/48, 
  -1/48, -1/12, 1/48, 1/4, 0, -1/6, 0, -1/6, 1/12, -1/8, 5/8, 23/16, 15/16, 
  17/4, 0, -11/16, -3/8, -1/8, -5/12, -35/24, -1/8, -21/8, 1/8, 3/8, 19/24, 
  0, 13/24, -1/24, -1/2, -1/6, 1/8, -9/16, -149/32, -7/16, -47/48, 5/4, 3/16, 
  -1/2, 0, 1/24, -97/32, 11/48, -3/8, 11/24, 23/16, -1/8, -1/48, 5/16, -1/24, 
  -1/16, 149/32, 0, -3/16, -5/8, 0, 3/8, -5/48, 17/48, -5/16, 0, 0, -3/8, 
  1/2, -43/32, -13/16, -1/8, 253/64, 29/16, -39/64, 3/8, -1/4, -3/8, -1/3, 
  7/8, 53/32, 137/96, -31/32, 11/8, 3/8, 29/6, 35/16, 11/8, 3/4, -1/8, -3/4, 
  -147/32, -5/4, 7/8, 225/32, 47/16, 0, -25/12, 97/48, 3/16, 1589/96, 151/48, 
  -1133/96, -151/24, -29/48, -403/48, 373/24, -1/8, 5/8, 0, -163/48, -9/8, 0, 
  -23/12, -3/8, 449/48, 131/24, 1/8, -3/8, -1/16, 3/16, 0, 1/8, 3/16, 0, 
  -3/16, -3/8, 1/8, -1/48, -1/6, -1/16, 3/16, 1/6, 3/16, 5/24, 0, -1/48, 
  5/24, -1/12, -11/24, 7/8, 1/16, 41/96, 1/4, -3/16, 0, 0, -1/8, -17/48, 
  -5/48, 5/12, -17/24, 1/16, 1/12, -1/16, -19/48, 1/24, 19/48, 9/16, 0, 3/16, 
  3/8, 0, -7/8, -19/48, -5/48, 23/48, 0, 0, 1/16, -1/8, 1/4, -1/4, 19/32, 
  -5/8, 3/16, 23/32, 0, 1/12, -17/24, 5/48, -25/48, 37/96, 1/48, -35/48, 
  1/16, -5/16, 13/16, -37/32, 0, -5/8, 5/8, -31/24, 35/48, -29/32, 29/32, 
  -1/2, -1/4, -1/8, 1/4, -5/8, -1/16, 41/16, 5/48, 3/16, -7/3, 33/16, -1/12, 
  0, -25/16, -1/48, 1/2, 1/4, 0, 1/2, -1/8, -19/8, 43/48, -71/48, 41/24, 0, 
  -1/4, -1/8, 1/2, 0, -1/4, 1/8, 1/16, 5/48, 17/48, -5/48, -1/4, 13/48, -1/4, 
  1/48, 1/16, -1/24, 11/48, 1/48, -1/4, 0, -1/4, 1/8, 0, -1/4, 1/8, 1/8, 
  13/24, 47/48, -1/3, 1/48, -1/12, -5/24, -31/48, -1/24, 1/2, 0, -1/4, -5/6, 
  0, 1/4, 1/3, 0, 0, 0, 0, 3/4, -3/4, 0, 0, 0, 0, 0, 7/4, -7/4, -3/4, 0, 
  -67/24, 67/24, 0, 0, 0, 1/4, -1/4, 0, -147/8, 0, 0, 0, 0, 3/4, 0, 0, 0, 0, 
  0, 0, 0, 7/2, 17/4, 3/2, -7/2, 0, 3/2, 5/4, 0, 5/4, 3/4, 0, -1/4, 1/8, 3/4, 
  -1/4, 1/4, 0, -1/2, 3/4, -7/8, -1/8, -1, -1, 1/4, -1/4, 0, 1/2, -3/4, 3/4, 
  0, -3/4, 0, 0, -1/4, 1/4, 0, 0, -1/2, -1/4, 1/2, 0, 0, 0, 0, 1/8, 7/8, 5/8, 
  -7/8, 29/32, -59/24, 59/24, 0, -3/4, 1/8, 1/8, 0, -1/8, 0, -7/8, 1/2, 1/8, 
  15/8, -29/32, 71/8, 0, -1/8, -1/8, 1/8, 0, 0, 0, 13/8, 13/8, 0, -13/8, 0, 
  0, 13/16, -13/16, -13/16, 0, 0, 3, 3/2, 0, 0, -5/4, -11/8, -1/2, -1, -2, 
  -3/2, 0, 0, 0, 0, 1/4, -5/8, -3/4, 11/8, 1/4, -1/4, 0, 0, -1, 0, 7/24, 
  -7/24, 0, -71/8, 45/4, 0, 0, 0, -3/8, 11/8, 0, 0, 16/3, -61/24, 3/8, 1/4, 
  0, 0, 3/8, -1/24, -1/8, 59/16, -3/8, -17/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -27/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27/16, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1951/32, -87/32, 0, 0, 0, 0, 21/8, -21/8, 
  15/8, 3, 3/2, -33/32, -87/32, 123/16, 11/8, -369/32, -127/32, 3/2, -3/2, 0, 
  0, 71/48, -133/48, 133/48, -3/4, -5/48, 1, 1/8, 1, 0, 0, -1, 0, 1/8, 0, 
  -7/2, 7/2, 143/8, 0, 3/8, 0, -1, 1, 0, 0, 7/12, 11/32, 35/48, 0, 0, 0, 
  -7/2, -17/4, -3/2, 7/2, 1/24, 0, 1/12, 13/8, 0, 1/8, 0, -1/4, 0, 0, -13/32, 
  0, 0, 0, -65/16, -53/16, 65/16, -1/2, -3, -67/32, 1/2, 91/32, -7/2, -17/4, 
  -3/2, 7/2, -2, 3/4, 3/2, 0, 1, 1/4, -3/2, -1, 1/2, -1/4, -3/2, 5/2, 1/8, 
  -1/16, -9/4, 0, 3/4, 5/8, -7/8, 0, 1/12, -11/8, 0, 1/6, 1/4, 5/2, 1/8, 
  -1/2, 9/4, 3/4, -9/8, -1, -1, -3/8, 0, 0, 1/2, -3/8, -9/8, -3/8, 7/4, 1/6, 
  -1/8, -1/6, -1/6, 1/6, -1/6, 0, -1/4, -2/3, -15/8, -3/4, 0, 3/4, -3/2, 
  -3/2, 3/2, 39/32, 39/32, -39/32, 0, -3/4, 53/8, 0, 5/24, 29/16, -39/32, 
  -39/32, 39/32, -3/4, -67/16, 41/24, -7/2, 5/6, 0, 0, 0, 0, 0, 1/2, -5/6, 
  -1/2, 0, 0, -1/3, 0, -481/24, 125/16, 0, 67/16, -3349/96, -29/8, -443/16, 
  0, 63/32, 63/32, 3/4, -1161/32, 0, -4931/128, 1483/128, -3/2, -39/32, 
  -13/8, -3/4, 251/32, 0, 39/32, -117/32, -53/16, -119/96, 79/32, 55/32, 
  -1/8, -23/32, -83/24, -1/4, -1/4, 77/48, 5/6, 431/96, 5/12, -83/48, 287/96, 
  49/48, 5/12, -113/48, -83/48, 171/32, 15/16, 43/32, -43/32, -67/16, -39/32, 
  149/96, -241/96, 17/96, -1, 5/8, 2, 7/4, -113/32, 0, -109/16, 0, 0, 15/16, 
  -33/16, -15/16, 11/16, 9/32, -9/32, 0, 53/16, -53/16, -53/16, -3/8, 1, 3/8, 
  -3/4, -67/32, 1/4, -1/4, -1/4, -1/4, 0, -467/24, 129/16, 0, 201/32, 
  -1783/48, -183/32, 65/32, 39/16, 0, -2087/96, 125/16, 0, 101/8, 53/16, 
  -3785/96, -193/16, 107/32, 61/16, 67/32, -15/16, -6, -77/16, -81/16, 0, 
  -9/16, -21/8, -11/2, 7/2, 7/4, -1, -5/2, 2, 71/16, 5, 41/16, -21/16, 1/4, 
  0, 3/2, 27/8, 3/4, 53/16, 1/2, -5, -45/16, -23/16, -17/4, -3/8, 63/8, 
  -3/16, -3/4, 73/32, 31/8, 0, -31/8, -41/8, -7/4, -15/8, -17/16, -85/16, 
  -97/8, -11/2, 27/8, 7/8, -43/8, 109/16, 5/4, 17/4, 19/4, 15/4, -5/8, -2, 
  -33/16, -29/16, 21/8, 13/8, 15/2, 1/2, -2, -1/2, -2, -1/4, -85/32, 1, 
  85/32, -5/2, -1/4, -41/32, 1, 57/32, -15/4, -7/4, 13/8, 9/4, -29/16, 25/4, 
  -2, -55/16, -19/4, 1, -3/4, -11/8, -17/8, -1/2, -7/8, 0, -15/8, -35/8, 1/4, 
  0, 0, 15/8, 1, 1/4, 11/8, 11/4, -25/8, 0, -5/16, -3/16, -19/8, 1/16, 1/2, 
  -3/2, 3/4, 23/4, 15/8, -3/4, -3/4, -13/8, -1/8, 0, -1/4, -1/2, 0, 1/2, 0, 
  -17/16, 1/8, 21/16, 9/4, 1/4, 0, 21/16, -3/4, 27/16, -21/16, -21/16, -5/2, 
  29/16, 3/16, 35/8, 33/16, 13/16, -3/16, -7, 31/16, -251/72, 3/4, -3/4, 3/4, 
  3/2, -73/48, 3/4, -91/24, 109/24, -3/4, 3/4, -3/4, -3/2, 5/8, 0, -11/8, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -31/48, -1/2, 3/4, 85/48, 73/48, -97/48, 
  -251/72, 61/48, 3/4, 73/48, -11/24, -251/72, -7/24, -3/4, 3/4, -3/2, -3/2, 
  -3/4, -1/48, 5/4, -3/2, 19/8, 37/48, -97/48, 61/48, 43/12, 415/24, -47/6, 
  0, 97/12, 13/8, 5/4, 0, 10, 9/8, 3/4, -3/4, 3/2, 3/2, -5/12, 5/8, -227/24, 
  3/8, -3/2, -8/3, 0, 29/12, -7/8, 3/4, 0, 0, 0, 0, 0, 3/8, 19/8, 2/3, 0, 0, 
  0, 0, 49/24, -171/8, 3/2, 169/8, -27/8, -177/8, -527/24, 0, 3/8, 937/48, 
  -27/16, 62/3, -19/16, -93/16, -49/24, 121/48, 271/48, 77/24, -49/24, 
  -29/12, 271/48, 27/16, 0, 6, 0, 0, 0, 0, 5/4, -1/2, -5/4, -11/8, 0, -15/4, 
  0, 0, 0, 889/48, 55/16, -2, 15, -19/16, -113/16, -1/24, 241/48, 59/16, 
  -85/16, 0, 0, 0, 6515/144, -3857/144, 31/8, 0, 0, 0, 0, 0, -215/12, 113/12, 
  263/16, 11/4, -9/8, -11/4, 9/8, 0, -33/16, 0, -71/16, -33/16, -9/16, 9/16, 
  -27/16, 347/96, 55/12, 3/4, 28/3, 0, 0, 0, -165/32, 29/16, -259/32, 0, 1/8, 
  -7/4, -1/4, 345/8, 459/16, 675/16, 447/16, 1/8, -1/2, 1/32, 0, -345/8, 
  -655/16, -99/8, 21/16, 49/4, 17/16, -171/8, -71/16, 171/8, 27/8, 235/32, 
  45/2, 85/32, -313/32, 73/32, 27/16, 197/32, -145/32, 0, 135/16, -11/8, 
  -2301/32, -3/8, -31/32, 3/8, 27/16, -59/8, -159/8, 55/8, 159/8, 1/2, 
  417/16, 21, -12, -609/32, 13/4, 27/16, 83/16, -89/32, 27/16, 1/2, -27/8, 
  -3/4, 27/8, 1/4, 81/16, 21, 29/4, -601/32, -29/16, 45/16, -2, -143/32, 
  9/16, 101/48, -59/48, -25/8, 5/48, 1/2, 1/6, -73/16, -5/12, 301/24, -3/4, 
  367/48, 4/3, -1/16, 89/16, -275/48, -3/16, -443/24, 133/24, 619/48, 
  -775/48, 73/8, 199/8, 53/6, 293/96, -57/8, -645/32, 0, 0, -4, -3/16, -1/4, 
  19/6, 1/4, -123/16, 73/8, 457/48, 53/6, -31/4, 377/96, 157/48, -577/96, 
  3/4, 2, -2, -13/8, 75/4, -11, -2, 15/4, -13/8, 0, 15/8, -7/16, 211/16, 
  15/8, -33/8, -1/2, -77/8, 4, 77/8, -7/2, 41/8, 83/16, -113/16, -23/8, 
  891/32, -9/16, -273/16, -101/16, 795/32, 2, -2, 3/8, 77/16, -1/4, -35/16, 
  -2, 1/4, -81/16, 0, 7/16, 23/16, -13/8, -11/16, 7/32, -17/12, -167/96, -1, 
  -1/32, 1/32, -35/96, 0, 0, 0, 1, -59/48, 1/24, -11/12, -35/96, 1/24, 1/48, 
  -97/64, -5/64, 1/48, -1/16, 1/64, -1/16, -1/8, 1/8, 1/24, -1/24, 9/32, 
  11/96, -3/32, -1/32, -9/32, 0, -1/32, 0, 1/8, 0, -1/8, -5/8, -29/8, 7/12, 
  49/6, 7, 0, 7/8, -127/24, -1/4, -1/8, 175/32, -87/16, 19/192, -547/64, 
  19/64, 1/12, 295/32, -13/3, 1/24, 91/96, -31/16, -187/64, -35/32, -1/16, 
  -1/12, -11/8, -1/24, -1/8, 15/8, 0, -1/6, 19/16, 25/16, 17/64, 3/16, 
  -29/64, 1/12, 11/16, -37/12, 1/24, 127/96, 1/8, -147/64, -43/32, -1/16, 
  -1/8, 17/16, 27/16, -3/8, -13/8, -13/8, 1/12, 53/48, -283/192, 1/24, 
  -109/96, 41/16, 1/2, -133/64, -23/16, 55/96, 95/18, -139/96, -95/18, 1/8, 
  -1/8, 33/32, 7/8, 0, -19/32, -4/3, -29/96, 97/32, 65/96, -73/32, -203/96, 
  33/32, 7/8, 0, -11/8, -23/16, -4/3, -29/96, 41/32, 95/96, -73/32, -19/12, 
  31/36, -191/288, -31/36, 767/288, -1/24, 1/24, 1/8, 1/8, -11/16, 1/16, 
  5/16, 5/16, -21/4, -7/16, 103/16, -207/32, -383/32, 13/16, 0, -13/8, -1/2, 
  13/16, 0, 3/4, -13/32, 21/4, 349/64, 1/6, -1273/96, -1/8, 3/4, 7/4, -1/6, 
  0, 0, 0, -1/3, 1/8, 1/3, -3/8, -15/16, -11/8, 1/16, -3/4, -1/16, 103/96, 
  11/16, 1/48, -49/96, 79/48, -1/12, 3/4, -47/32, 0, 57/32, 0, -3/4, -29/16, 
  -5/8, -65/48, 15/8, 1/32, -57/32, -89/96, 15/16, 119/96, 53/96, -15/64, 
  -525/64, 241/16, -4485/256, -721/768, 0, 7/8, 17/6, -349/64, -17/3, 5/3, 
  211/96, -1801/64, -313/192, 0, 0, 0, -15/4, -227/16, -235/32, -455/32, 
  -777/32, -397/64, -541/16, 0, 467/24, 865/48, 29/4, 97/32, 67/32, 55/48, 0, 
  27/16, -61/64, 3/2, 9/4, 39/64, -59/16, -3/4, -571/64, 4677/256, 9/4, 3/2, 
  145/768, 0, 18239/384, 5/64, 211/64, 1/16, 0, -11563/384, 1685/64, 0, 
  -53/32, -24739/768, -3/4, -159/32, 0, 15/64, 4775/128, 15587/384, 19/64, 
  19/64, 1/16, 637/64, -9595/384, 1741/64, -269/16, 4165/256, -21931/768, 
  3/4, -3407/768, 0, -17/16, 16963/1152, 15947/384, 33/16, 28, -1/4, 
  -673/192, -3705/128, -1/8, -277/16, 415/192, -21259/768, -1/2, -16877/768, 
  -1/4, 29/16, 143/48, -397/96, 31/16, -239/48, 45/16, 197/32, -9/2, -187/64, 
  -13/48, 175/64, 0, 29/32, -151/48, -271/96, 29/32, 25/16, -29/32, 1/12, 
  127/24, -5/4, -707/64, -59/24, 971/64, -39/32, -191/48, -89/48, 25/96, 
  -1/24, -1/4, 143/32, 81/16, 7/16, -7/6, -47/32, -1067/192, -675/64, 
  1731/64, 1637/96, 9/16, -63/16, -89/48, -87/16, 41/8, 5/8, 127/32, 81/16, 
  -43/16, -7/6, 587/96, -1907/192, -481/32, 5833/192, 3919/192, -5/16, 
  -217/16, -119/8, 79/8, 121/8, 5/16, 93/8, 4099/96, 0, 0, -30739/960, -5, 
  70643/1920, -1/16, 31/18, -797/128, -1/12, 30739/960, -30411/640, -143/36, 
  3/16, 5/4, 291/32, 701/64, 37/16, 443/64, 1/8, -837/128, -1743/128, 
  -379/64, 453/128, 28649/960, -231/32, -30731/640, -1/16, 21/16, 573/64, 
  61/16, 289/16, -1351/128, -241/16, -771/128, -21/16, -2119/192, -10, 
  -8333/384, 25/12, 0, 219/32, 109/32, -15/4, -397/64, -1795/48, -219/32, 
  -101/96, 283/16, -183/32, 1/8, 433/32, 195/32, -227/32, 183/32, -17/4, 
  -381/64, 457/32, -347/96, 0, -195/32, 441/32, 1/8, 2509/96, -125/16, 
  -701/32, -587/32, 5/12, 35/4, 171/16, 1/2, 2149/96, 325/48, -61/6, -341/48, 
  139/32, 1301/96, -63/32, 567/32, -125/16, 0, -659/48, -5/6, 0, 475/96, 
  -1/16, 361/24, 125/12, -475/96, -103/16, 899/48, 2455/96, 203/24, 461/24, 
  -1949/96, -41/8, 287/12, 5/2, 5/4, -75/32, -35/16, -25/8, 113/8, 17/4, 
  -119/16, 49/8, 25/4, 209/16, -23/2, 7/4, -37/16, 5, -11, 193/16, -165/16, 
  -3/2, 6, -5/8, 3/2, 139/12, 0, -31/4, -19/4, 61/16, -5/2, -449/24, -9/4, 
  -15/32, 61/24, -3/16, 1/4, -77/8, 61/16, 163/16, 59/4, -449/24, -539/48, 
  -9/4, -25/2, 57/32, 175/16, 27/16, 55/8, -329/8, -9/2, 27/8, 3/2, 131/4, 
  -9/2, 0, 3/8, -7/2, -61/8, -35/2, -39/8, 7/3, -25/8, 19/8, -53/16, 0, -3/8, 
  -17/2, 61/4, -15/16, 81/16, -13/4, -73/16, -619/192, 209/64, -491/64, -9/4, 
  33/32, 49/32, -181/128, 25/8, 145/128, 11/3, -3/8, 39/16, -41/128, 5/3, 
  247/384, -125/6, -173/36, -643/48, 0, 89/18, 631/48, -8/9, 10153/480, 
  12721/960, -22577/1440, -45023/2880, 25/8, 1509/64, 49/4, -961/64, -27/8, 
  -21/2, -307/48, -15/8, 311/32, 109/48, 97/32, 165/8, 199/16, -1133/96, 
  -81/8, 15/8, -39/8, -15/8, 0, -2/3, 25/96, 221/24, 253/48, 1241/96, 
  -431/36, -51/4, 83/6, -17/12, 579/32, -8371/576, -2351/96, -1799/72, 
  -23681/576, -2273/64, -899/64, 27293/576, 7597/192, -319/32, 2927/192, 
  -71/48, 925/24, -779/64, -2327/96, 4213/192, -2033/72, -7507/192, -5/18, 
  813/64, -2049/64, -899/64, 8839/192, 7597/192, -49/32, 1133/64, -71/48, 
  467/16, -899/64, -1097/48, 6223/576, -2033/72, -17305/576, -5/18, 605/192, 
  -5399/192, -275/192, 20941/576, 4477/192, -11/8, 11/8, 11/12, -4371/160, 
  565/48, 3271/160, -97/8, 29/16, -115/48, 5351/160, -113/8, -49/9, -13/12, 
  543/64, 97/18, 1027/48, -979/144, -267/64, -9493/1440, -193/72, -25/8, 
  -1261/64, 1/4, -287/64, -1, -97/24, -591/16, 1/2, 35/3, 599/16, -63/8, 
  1655/48, 491/16, -467/12, -515/16, 77/4, -7/8, 25/2, -19, -35/8, -139/24, 
  1/2, 145/24, 0, 481/16, -133/16, -505/16, -25/12, 21/8, 79/8, -217/8, -3/2, 
  -3/4, -2, -23/4, 37/4, 0, 0, 0, 1/4, 21/8, -1/2, -83/8, -47/12, -2, -5/6, 
  -5/6, 38/3, 7/12, -3/4, 9/4, 3/4, 0, -27/8, -65/12, -9/16, 115/32, 281/48, 
  25/32, 35/8, 19/4, -325/96, -1, -3/8, -21/8, 3/8, 49/32, -3445/192, -2/3, 
  -227/8, 2573/192, 535/24, 13673/576, 4943/144, -10343/576, -4801/144, 
  27/32, -125/32, 1/4, -7/96, -83/96, -211/96, 105/32, 55/16, -49/32, -55/16, 
  -685/96, -1/4, -37/16, -397/48, -175/24, -901/192, -671/96, 1039/192, 
  -757/192, -617/192, -77/16, -571/64, -79/12, -253/192, 41/16, -23/24, 
  -197/48, -53/64, 3/16, 17/32, 3/16, 19/64, 1045/96, -39/32, 1045/96, 
  -749/96, 0, 0, 1/2, 0, 25/8, -223/96, -21/64, 3, 77/64, 77/24, -391/96, 
  953/96, -85/24, 69/64, 3/16, -213/64, -71/32, 0, -43/16, -11/48, 7/16, 
  17/24, 11/8, 1/2, 107/16, 125/48, -5/12, -11/3, 11/48, -37/24, -423/32, 
  31/12, -641/32, 1/8, -155/48, 7/16, -5/2, 29/24, 13/8, 77/48, 125/48, 
  77/24, -11/3, 161/48, -43/24, -623/32, -239/12, -689/32, -45/2, 51/4, 
  89/16, 0, -8/3, -24343/720, 0, -3, -413/32, 14699/384, 121153/2880, 137/96, 
  3, -623/36, -28327/2880, 12683/384, 1615/72, 137867/5760, 3/2, 31, 
  1427/288, 5617/384, -401/72, 28327/2880, -14915/384, -52531/1920, 
  -24509/480, 45/8, -575/32, -6929/192, -131/48, -1481/36, 1851/64, 2563/72, 
  208003/5760, 210193/5760, -10721/576, -54571/1920, 47/12, -3, -47/12, 
  -25/6, 22553/5760, -1/48, 15247/5760, -47/12, 3, -7/12, 24607/5760, 0, 
  -1/16, -5/16, -3/2, 7/16, 9/32, -1/48, 23/24, 5/36, -113/24, 1/24, 1/48, 
  1/16, 5/16, 3/4, -175/144, 3/2, -1/24, -5/16, -1287/32, -1/48, 0, 0, 1/4, 
  0, 0, 1321/96, 265/32, 3/2, 3/16, -465/32, -115/16, -29/32, -13/24, 21/16, 
  0, 185/48, -49/96, 113/12, -713/96, 23/96, -37/48, 413/64, 0, -1321/96, 
  -565/48, -3/2, 13/12, 173/16, -9/4, -1265/96, -1073/96, -211/48, 91/16, 
  127/48, 0, 0, 35/12, 0, 5/2, -45/16, 3/8, -17/16, 45/16, -9/16, -23/16, 
  3/16, 13/12, 9/16, 13/3, 229/24, 61/24, -7/3, -46/3, -11/4, 5/8, -5/2, 
  13/8, -1/4, 11/4, 0, 49/8, 11/8, 9/8, 0, 9/8, -257/48, -13/36, -63/64, 
  195/32, -11/144, 91/64, -37/96, -3/16, 31/48, 379/48, -289/96, -175/36, 
  167/96, -1/24, 379/48, 325/288, 485/144, -231/64, -217/72, 21/16, -397/96, 
  -161/144, -713/288, -111/16, 4039/288, -5/32, -205/288, 0, -7/4, 7/4, -14, 
  25/16, 151/64, 267/16, -99/64, -31/48, -43/24, -661/96, 1/24, 0, 0, -3/2, 
  0, 3/4, 893/48, -47/16, -379/64, -133/12, 0, 225/32, 1/2, 1/4, -1, 1/4, 
  1/2, -1/2, -1/8, -17/24, 29/32, -11/6, -91/64, 1/12, 5/24, -59/288, 1/24, 
  -1/2, 0, 3/4, 0, -1/4, 5/6, 0, -29/32, -1/3, -1/16, -5/32, 37/32, -1/8, 
  13/8, -5/4, -5/48, -27/16, 1/16, 29/48, 1/8, 1/16, 0, 1/16, 19/32, 85/64, 
  -11/24, 11/4, -1/16, 1555/576, 25/48, -1/16, 13/16, -101/64, 1/4, -7/8, 0, 
  5/8, 63/16, -19/16, -2, -69/8, -13, 11/16, 333/16, 29/2, -145/16, -7/2, 
  31/8, 97/12, 493/16, 121/48, -307/8, -75/8, -25, -47/6, 407/12, -45/16, 
  3/2, 19/8, 7/16, -145/16, -43/16, -155/48, -145/16, 1201/48, 25, 7/16, 7/4, 
  55/8, 53/48, -5/4, -5/48, 3/16, 0, 1/8, -159/64, 5/16, -7/8, 2, -1/4, 
  61/48, 1/6, 5/48, 215/64, 31/48, -1/12, 1/48, 1/24, -71/96, 25/4, 77/192, 
  535/64, -3/4, -1/24, -1175/96, -1/48, -1/48, 1/16, 0, 0, 0, 15/32, -55/96, 
  -47/32, -43/9, 31/32, -15/32, -7/8, -89/48, 61/6, 1317/64, -1/8, -1/2, 
  -1393/96, 89/48, -835/96, 125/64, 325/24, -721/32, 249/16, -13/36, -249/16, 
  335/288, 241/16, -801/32, -45/8, -1, 25/64, -49/16, 1/24, 611/32, -45/4, 
  303/32, 15/2, 1143/64, -611/32, -15/8, -1/16, 9/16, -1/4, 81/32, 7/16, 
  -23/32, -23/16, 23/32, -7/48, -5/24, 49/48, -53/24, 7/6, -1/24, -11/96, 
  1/16, -9/16, -3/4, 13/96, -599/96, -333/64, -1/24, 49/96, 433/32, 1/96, 0, 
  0, -7/4, 0, -1/8, 113/48, 4127/144, 13/16, 13/16, 6901/384, 119/48, -3/16, 
  5/16, 1/12, -801/128, -65/24, -259/96, -187/24, 17/24, 1/24, 17/6, -37/32, 
  0, 9/64, -24689/1152, -215/32, -125/48, 217/96, 1, 59/96, -79/64, 23/6, 
  1127/192, -3/16, 151/32, 0, -29/12, 1/8, -81/32, -53/12, -21/64, 41/48, 
  25/48, -19/64, 0, -11/48, 293/48, 23/12, -143/48, 0, -1/2, 5/12, 143/96, 
  -7/4, 1, -2327/192, -553/192, -47/32, 1477/192, 97/16, 353/96, -13/8, 
  -553/192, 75/32, -19/16, -299/96, -1/4, 235/48, 1429/192, -11/16, -91/48, 
  -2525/192, 151/24, -3/8, -2473/192, 41/16, -805/192, 1795/96, 169/192, 
  17/16, 20/3, 133/192, -1/12, -235/48, -1307/576, 701/96, -13/48, 65/144, 
  -83/16, 3677/1440, 4463/144, -82859/2880, -3449/1728, -565/144, -677/96, 
  7/2, 1127/144, 1/4, 0, -719/48, -47/24, -23/8, 175/96, -1/8, 67/32, 5/4, 
  -23/32, 0, 139/16, 31/48, -19/32, 473/96, -41/24, 1/12, -4/3, 7/6, -1/12, 
  899/48, 989/48, 0, 25/4, -21/16, 3/4, 733/96, -517/96, -101/12, -655/96, 
  -95/6, 1/4, 385/48, -3/4, 1/16, 13/8, 5/4, 0, -103/48, -11/24, 31/8, 
  -239/32, 95/16, 31/12, -53/4, 129/32, 7/48, 253/48, -10/3, -7/12, 0, 97/24, 
  3/4, -1, 9/16, 283/16, 443/32, -5/8, -383/64, -71/16, 113/64, -3/4, -17/24, 
  -995/48, -117/16, 683/96, -11/4, -9/8, 35/16, -11/32, 1/4, 11/192, 19/16, 
  -59/32, 149/12, 31/24, -197/48, -317/24, -37/96, -11/8, 103/64, -59/32, 
  1/32, 9/4, -47/16, 3/8, -469/64, -11/16, 99/64, 3/4, 109/8, 17/24, -57/16, 
  -1271/96, -19/16, -3/4, -1009/48, 133/8, -11/4, -6, 257/96, -69/16, 
  1389/64, 163/64, -767/64, -51/4, -1327/96, -59/96, 1819/48, -689/96, 3/16, 
  269/64, 1759/96, 5/8, 1/8, 11/8, 87/128, 43/16, 43/16, -7/16, -445/64, 
  -7/2, 151/64, -4/3, -569/384, -61/192, 111/16, -217/48, -991/96, -25/24, 
  -7/6, -309/16, 47/12, 3/8, 3/16, -1/4, -169/96, -2, 187/64, -15/4, 0, 
  -185/96, 41/24, -1/2, 0, -5/8, 7/12, 1/8, 89/16, -17/72, 7/64, -527/72, 
  11/18, -31/64, 359/288, -29/48, -1259/216, 505/96, -781/216, -217/144, 
  1/24, -1313/216, -1253/192, -419/36, 1/8, 2419/192, -223/48, 15/32, 
  25567/864, -563/144, -529/72, 811/108, 1397/144, 39/32, 11/16, 197/24, 0, 
  -23/8, -255/16, 231/32, 247/16, -155/32, -1/8, 3973/480, 7/8, 25/64, 
  185/48, -197/64, 29/48, -25/24, -1543/96, -1/24, 53/8, 83/16, -23/8, 
  -169/24, 91/8, 83/16, -33/80, 1057/192, -1895/192, -583/320, 973/48, -3/8, 
  -3, -77/48, 0, -1/8, -5/4, -3/16, 1/4, 15/4, 29/16, -3/32, 11/2, 23/32, 
  7/8, 31/24, -373/48, -115/12, -53/24, -17/24, -1/24, 395/48, -1/24, 9/8, 
  -19/8, -31/16, -15/16, -1/4, 5/12, 19/8, 31/16, -37/24, 1/4, 0, -1/4, -3/2, 
  361/32, 3/8, 89/16, -423/32, -17/16, -61/16, 47/24, 483/32, 7/8, -901/96, 
  151/96, 119/32, 325/96, 839/32, 1/8, -27/32, 5/16, -223/64, -349/96, 1/8, 
  165/64, 9/4, -15/32, -11/48, 43/16, 143/32, 13/96, -227/96, 13/24, -43/32, 
  99/64, -3/32, -379/192, -115/96, -247/16, -271/24, 127/96, 575/96, 767/96, 
  37/32, 0, -355/16, -127/96, 47/18, -2, -47/9, 2, 47/18, 1/8, -96067/8640, 
  0, 14671/576, 77167/8640, -8767/576, -29/48, -1/4, -146737/8640, 1/24, 
  -47/18, 6, 113/18, -4, 1, 172267/8640, -5553/128, -40379/5760, -28987/8640, 
  -4, 0, 1/2, 1/4, 41/8, -15/2, -233/4, 0, 0, 1/6, 1/4, 3, 0, -337/24, 25/4, 
  -13/4, 8381/32, 81/32, 3/4, 1/48, -1, -7/8, 0, 283/8, 0, -1/4, 0, 0, 2/9, 
  1/12, -2/9, 185/32, -13/4, 0, -185/32, 27/16, -31/8, -95/8, 9/2, -3453/32, 
  -33/32, 39/32, -273/16, -265/16, -39/32, 277/16, -561/32, 45/16, 55/32, 
  103/24, -13/4, 0, 325/16, 265/16, 0, -22, 5779/48, -421/8, -265/16, 
  -5779/48, 9, 9, -26/3, 0, -12707/120, 131/15, 5431/60, 6553/180, 365/4, 
  -107/24, -5/2, -251/72, 5/4, -5/8, 5/8, 5/8, -3/4, -27/16, -107/48, 3/16, 
  5/8, 17/16, 479/24, 413/30, -485/24, -1831/24, 7169/120, -4131/40, 37/60, 
  1963/20, 4079/60, 509/36, -233/24, -413/60, 239/24, 15353/240, -707/16, 0, 
  0, 0, 0, 0, 0, 0, -365/96, -29/6, 0, -445/48, -3/8, 445/48, -689/48, 0, 0, 
  -5/12, -1/8, 0, 0, 0, -365/96, -29/6, 967/96, 0, -445/96, -329/96, -19/96, 
  421/32, 0, 0, 0, 0, 0, -181/48, -1/3, 1/12, -1/24, 3, -1/8, -1/24, 1, 
  -989/192, 1/36, 0, -10/9, 109/24, 61/24, -5389/36, -10/9, 585/32, 2369/144, 
  -2369/144, 537/32, -95/24, 23/6, -251/96, -265/16, 0, 209/12, 265/16, 0, 
  3/8, 5/2, 19/72, 1/2, -97/18, -97/18, -1/2, 97/18, -55/12, -217/16, 33/16, 
  -81/8, 143/8, 663/16, 347/32, -33/2, 173/4, 107/4, 25/3, -121/4, 395/8, 
  -1/4, -189/8, 9, 259/8, -13/3, -41/16, 21/8, -5/4, 27/16, 17/6, -27/16, 
  -29/8, 9, 101/16, 7/8, 109/16, 493/192, 509/96, 21/2, -37/3, -1841/192, 
  -1459/48, 25291/192, 4033/192, 35/32, -181/48, 2/3, 0, -1, 1/12, 181/96, 
  25/18, 17/72, 1325/96, -13229/1152, 79/16, 89/32, 38/3, -13229/1152, 
  295/128, 71/16, -403/128, -82/9, -713/36, 3/2, -185/12, -1/12, 1/24, 
  -11/24, 95/36, 23/24, 1891/144, -3/4, 27/4, -157/16, 1165/96, 17017/64, 
  449/64, 5/32, 1/24, 1/16, -1/3, -3/8, -13/16, -331/16, -14317/192, 7547/64, 
  471/32, 19/24, 3, 89/24, -328/9, -1445/48, -1/12, 13/12, -17231/288, 
  -63341/1152, 91055/1152, 101/64, 56291/576, -17015/288, -68597/1152, 
  5837/72, -16019/576, 99601/1152, 0, -1/24, -989/192, 0, 0, 30917/1440, 
  147379/2880, -3/16, 989/384, 119899/1920, 233/96, -8385/128, 235001/1920, 
  -4169/64, 0, 5/8, 3, 989/384, -5/8, -70503/320, -466789/1600, 10167/64, 
  7913/64, -11837/96, 16943/1152, 3/2, 167/96, -8326/75, 70503/320, 8326/75, 
  464389/1600, 0, 0, -443/8, 0, -19/8, 16943/1152, 241/144, 15241/384, 3/4, 
  67/16, 14297/384, 5531/128, 15/4, 59/48, 373/24, -17861/4800, -109/24, 
  17861/4800, 263/96, 4433/900, -36065/1152, -30073/192, 7601/128, 
  -4390201/28800, 21407/3600, -57503/450, 7553/120, 19451/150, 3990401/28800, 
  59/16, -27889/9600, -89/16, 43489/9600, 95/48, 1/12, 87/64, -1811/96, 
  217/24, 143/64, 485/192, 87/128, -143/12, 205/48, 1/16, 17/48, -9/128, 
  3185/192, -85/24, 3077/96, 21083/1152, -2485/32, -141499/1152, -2317/64, 
  -121/24, -3, -8651/96, 51/4, 9781/96, 49/6, -4427/48, -31/6, 41/24, 1/12, 
  53/3, 7981/11520, 9091/768, 132173/5760, -1357/192, -2045/384, 2173/384, 
  787/64, 210713/5760, 59/16, -3173/384, -7/4, 1981/192, 48983/5760, -161/8, 
  665/24, 10331/192, -6353/192, -1531/96, -1625/192, 2351/192, 319/3, 
  4477/96, -403/6, 8909/192, 1909/48, -3343/64, -13805/192, 1561/32, -55/8, 
  2477/48, -103/24, -12737/192, -145/192, 0, 95/8, 0, 0, -14657/360, 
  10955/192, 190729/2880, -3671/96, -14657/720, 10619/384, 190729/5760, 
  23/24, -3503/192, 1205741/28800, 708073/5760, 98053/5760, -1289/5, 
  -5052709/28800, 0, 25/8, -51/4, -25/8, -25/8, 99/16, 127/16, -277/8, -4, 
  -1/4, 151/8, -123/16, -121/32, -5/4, 0, 4, -89/32, 9/4, -9/8, -3197/96, 
  -923/192, -9/8, 29/4, -659/48, -629/64, -631/48, 11147/288, -185/27, 155/4, 
  869/8, -239/16, -195/2, -5437/48, 6, 142/3, 613/48, -241/8, -2917/144, 
  3817/48, -869/8, 5873/120, 17227/120, 14957/120, -6, -25801/144, 796/15, 
  15967/144, 18209/240, -38351/180, 2095/144, -505/288, -22975/288, 9323/144, 
  3641/288, -13655/432, -28373/144, 1/24, -123/32, 57/32, -691/96, 197/32, 
  -21/16, -5/48, 1339/64, 2743/192, 1/24, 107/24, -207/16, -135/64, 11339/96, 
  -27/32, 11/48, 33/4, -79/96, 55/48, -56/3, -3/2, 1715/144, -8021/288, 
  3325/192, 167/32, -383/72, -14863/160, 6167/144, 529/48, 683/120, 3443/288, 
  -5/16, -3581/32, -16309/360, -49/18, 6149/96, -4397/72, 7151/240, 10337/96, 
  3059/144, 0, 1/4, 3917/576, -16981/576, -27899/576, 1/4, -97/288, 3139/384, 
  13/96, 0, 3/2, 211/32, 5/9, 0, 1617/64, -3799/384, -231/16, -1427/64, 
  -303/16, 89/16, -145/24, 4889/128, -2669/128, -10243/192, 6069/256, 259/96, 
  157/32, -7775/768, -49/8, -1949/64, -1171/64, -91/96, 535/192, -1801/64, 
  1381/24, 975/64, 11/24, 15191/192, -587/48, 523/64, 52/3, -3283/64, 
  -10339/192, -611/48, 0, 26961/320, -3293/24, -673/16, -76679/480, 247/32, 
  -1553/64, 21461/576, 1601/64, 829/96, -26961/320, 2515/16, 32359/480, 
  -22469/576, -1837/96, -15/4, -197/8, 17/8, 803/32, 25/4, 159/4, 1409/48, 
  81/8, -2801/192, 167/8, -103/4, -847/32, 0, 2785/192, 2143/48, 11/48, 
  -813/64, -2131/48, 41/32, -3869/48, -1697/144, 6703/96, 299/36, -7961/192, 
  -341/96, 1907/96, -1871/48, -703/32, -107/24, 277/16, 15/2, -163/24, 
  -7037/240, 23/2, -163/24, -259/5, 2101/80, 647/32, -467/32, 901/16, -213/8, 
  10007/288, 869/32, 79/32, 23/16, -337/64, -29/16, 163/64, -347/96, -5/6, 
  211/64, 55/48, 27/32, -27/32, -49/96, -113/24, 167/48, -149/24, -239/32, 
  19/3, 1607/96, -23/24, -885/32, -223/24, -971/48, 971/48, -7/12, 0, 1/12, 
  3, -1/12, -143/32, 131/48, -46463/5760, 269/32, 0, 233/96, 23/144, 
  -1571/576, -545/192, -5/48, 26563/576, -1/24, -73/24, 857/192, 1337/36, 
  1/16, 3/8, -163/16, -277/96, -17213/144, -6263/144, 47189/576, 67/24, 
  629/18, -20491/192, -25/8, 65833/576, 1351/18, 8405/64, 3715/32, 
  -29219/144, -4121/144, -163697/9600, 318511/2880, 8117/288, 261529/2880, 
  -961/288, 1115/24, -52289/320, 63421/5760, -695/72, -510509/28800, 
  262187/14400, -63601/960, 353869/5760, -3371009/28800, 15/2, 1945/48, 31/4, 
  61/2, -385/96, -633/64, -289/16, -95/3, -2183/72, 947/96, -1423/48, 
  -1729/144, 1625/576, 6065/288, 1901/288, 167/24, -7207/192, 1355/64, 
  -43/48, 6623/192, -1621/48, -7/96, 205/64, 2767/192, 127/16, 305/8, 447/16, 
  439/48, -119/4, -3901/72, 46/3, 299/8, -111/32, 169/32, -33/16, -463/72, 
  925/72, -85/16, 613/24, 13129/360, 290/9, 431/20, -2619/80, 2203/96, 
  185/32, 45/16, -285/32, -2449/384, -29/24, 6149/384, -119/192, 935/192, 
  -511/384, -403/192, 247/128, 1/24, -7/32, 107/32, -32/3, 755/18, 10, 1/8, 
  241/12, -18487/576, 2303/576, -1009/36, -4553/144, 17647/576, 5317/288, 
  401/72, -1031/96, -1165/192, -79/18, -611/64, 1915/144, -1/24, 427/192, 
  94871/2880, 95/36, 79/16, 649/64, -787/64, -5/8, -739/96, -1/2, -31/24, 
  29/8, 255/16, -15407/96, -97/16, 175/96, -113/8, -7, -39/32, 171/16, 
  -235/32, -439/32, -503/64, -47/96, 3/8, 29/32, 475/96, -32071/576, 
  -5123/72, 14699/288, -141/32, 103/96, -79/64, 49/12, -1235/192, 685/96, 
  91411/1152, -199/24, 281/12, 623/36, 33637/2880, -16067/384, -1271/72, 
  -120767/5760, -1721/288, -745/24, 1885/288, -8009/720, 1595/288, 
  -33637/2880, 16255/384, -9091/1152, -6623/576, -47/96, -219/64, 10691/576, 
  -131/48, 5269/128, 19547/1152, -95/128, 2435/144, -18095/576, -17/9, 
  -6959/384, 421/48, -3/4, 59027/1152, 169/192, 493/72, 76323/1600, 
  -40435/576, 617/144, 27711/640, 8/9, 21329/960, 2963/128, -234811/5760, 
  56947/1152, -1633/96, 4957793/28800, -43/4, -2157059/28800, 33/8, -707/32, 
  -24733/384, 313/96, -6569/128, 517/96, 203/64, 7901/128, 13859/384, 509/8, 
  -5073/128, 25447/768, -47/48, 113/32, -7965/256, 0, -27/2, -4985/128, 
  -17/24, 217/16, 13727/384, -141/16, 639/16, -61/48, -24191/384, -431/48, 
  -56213/5760, 5363/128, 131551/11520, -169907/2304, -313/3, 145/8, 
  12181/192, -175/96, 39/4, -751/64, -113/192, 265/24, 245/32, -11399/192, 
  -829/48, 893/192, 167/12, 1589/64, 10453/192, 2803/96, -623/36, 7973/2880, 
  15163/384, 2453/72, 116117/5760, -2825/144, -12239/960, -2083/288, 
  56701/640, 259/144, -22373/2880, -8477/128, -18717/640, -20707/240, 
  2141/96, 491/36, 21293/480, -425/64, -1879/144, -12049/240, 469/72, 
  -289/48, -10181/192, 13781/1440, 21767/288, 4457/96, -2747/96, -10993/160, 
  1349/30, -499/192, -1657/36, -4359/80, 97/32, 177/8, 7443/160, 875/288, 
  461/24, 347/18, -25981/1440, 262/9, -92087/1440, 365/96, 215719/2880, 
  2321/72, 641/64, 223/4, 1123/24, 1469/384, -6005/384, -339/32, -1349/192, 
  -1577/24, -11437/384, 583/192, 3347/192, 22907/288, 22237/576, -68663/1152, 
  1313/64, -59077/1152, 1951/64, 725/24, 107/48, 1991/48, -559/24, -3481/64, 
  -2623/72, -1909/144, -6143/288, 283/144, -647/12, 469/96, 10919/96, 
  7321/144, -73/32, -773/36, -1793/240, -9/8, 229/24, 676/15, -143/72, 
  15991/1440, -234119/5760, -45901/576, 54647/2880, -95161/1440, -12203/128, 
  -15269/384, 677543/2880, 333/8, -1/12, 468017/5760, 511/96, -22409/432, 
  -1800931/17280, 2089/108, 31231/720, 5849/160, 2302379/17280, -45781/1440, 
  -69821/480, 29917/192, 966203/5760, -1464131/2880, 71429/576, 13439/288, 
  -5273/144, -26333/192, 423/64, 20909/480, -305/9, 903/80, 8233/192, 
  30317/576, 409/32, -7/9, -329/96, -1517/144, 326131/14400, -2813/64, 
  -14873/96, 1657/24, -9307/192, -43/8, 215/64, 1303/64, -129/16, 37331/720, 
  23987/192, -396043/5760, -75929/384, -2183/48, -45/2, -359/4, 4577/64, 
  115/12, 159/16, -18401/144, -347/24, 7723/72, 2303/48, 0, -3646/45, 
  8251/192, 7649/64, -7957/48, 34157/800, -15581/36, 40759/720, -380023/1200, 
  737/16, 1361/24, -983/4, -10127/64, 29633/288, 2137/180, -218851/1440, 
  -52231/1440, 100823/1440, 388637/2880, -11585/144, 2231/64, 25717/720, 
  -3949/160, 11713/192, -2101/240, -721/16, -7931/160, 2015/48, -853/32, 
  56123/576, 42979/288, -152971/1152, 11899/288, -200615/1152, -3643/72, 
  -59573/288, -171199/576, -8983/288, 86989/288, 568277/2880, 17597/720, 
  -421691/2880, 25829/120, -19691/96, 143483/576, 47645/576, -241955/1152, 
  -96077/384, 1313/64, 2233717/14400, 244241/1440, -12227/320, -30109/160, 
  -3497609/14400, 2433389/14400, -185327/720, -77905/288, 1971989/2880, 
  1011197/7200}}
