{{1, 1, -1, -1/2, 1/2, 1, 3/2, -1/2, -3/2, -1, 1/2, 1/2, -1/2, 1/2, -3/4, 
  -1/2, 1/4, 1, -1/2, 3/4, 3/4, 3/4, 1/2, -1/2, -1/2, -1, -3/4, 1/4, 1/4, 
  1/2, 5/2, 9/4, -1/2, 1/4, 1/4, -1/4, 3/8, -1/8, 1/2, -1/2, -3/8, 1/4, -1/8, 
  3/8, -1/4, 1/4, -1/4, 1/8, 1/8, -1/8, 3/4, 1/4, -5/8, -3/4, 1/4, -1/4, 1/4, 
  -1/8, 1/4, 1/8, -1/8, 1/4, 1/2, -5/8, -1/4, 1/8, -7/8, -1/8, -1/2, 3/4, 
  -1/4, 1, 1, 1/2, -1, -1/2, 1/2, -1, -1/2, 1/2, 1/2, -1/4, 2, 1, -2, -2, 
  7/4, -7/4, -1, 1, 1/2, 1/2, -1/4, -1, 1/2, -3/4, -1/2, -1/2, 1, -1/2, -2, 
  -1, 1/2, 1/4, 1/4, 1/8, -1/8, 1/4, -7/8, -3/8, -1/8, 1/2, -1/8, -3/4, -7/8, 
  1, -1, -1, -1, -1, 1, -3/2, -3/2, -3/2, -4, -4, 4, 11/8, 7/2, 7/2, 7/2, 
  -7/4, -4, -1, 1, 1, 1, 3/8, 3/8, 1, 11/8, -7/4, 1, 1, -1, -3, -3, 1, 3, -5, 
  -1, 1, 3/8, 3/8, -7/4, 1, 7/4, -1/2, -9/4, 1, -1/2, -1/2, 1/2, -1, -3/2, 3, 
  3/2, -2, -1/2, 1, -3/2, -1/2, -1/2, -1/2, 3/2, -2, 1/2, 1, 55/8, 11/2, 
  -55/16, -4, -21/8, -103/16, 49/16, 61/8, 7/8, 7/8, -17/16, 7/8, -11/4, 
  -3/4, 2, -11/4, 13/8, 2, -1/2, -3/2, -1/2, 1/2, 1, -1/2, -1/2, 1, -1/2, 
  -1/2, -3, 5/2, 9/2, 3/2, 1, 9/2, 3, -3/2, -9/2, 1/2, -1/2, -2, -1/2, -3/2, 
  -2, -3, -21/2, -7/2, 11/2, 9, -1, 3/2, -1/2, -1, 1, -1/2, -1, -3, -1/2, 
  1/2, -1/2, 1/2, -1, 1, -1, 1, -2, 1, 3/2, 3/2, 5/2, -2, -3, 1, -1, 1, -1, 
  1, -1, -1, -1, 2, -3, 3/2, 1, -1, -3, -3/2, 1/2, 5/2, 2, -9/2, 3/2, -1/8, 
  -3, 1/8, -1/16, 9/8, -3/16, -51/16, 1/16, 23/8, 1, -1/2, -1/2, 2, -5/4, 
  -101/32, 27/32, 3/2, 11/4, 3/8, -31/16, 1/16, 1/16, 3/2, 1/16, 3/2, 11/32, 
  1/4, -5/4, 17/4, 1/2, 2, 7/2, -1, -3, -11/2, 3, 13/2, -3/2, -11/2, 5/2, 
  13/2, 3/4, -1/4, 9/4, 9/4, -3, -1/2, 2, -1, 2, -1, 5/2, -4, -7/4, -5/2, 3, 
  19/4, -3/2, -27/2, 1/2, 1, 57/4, -7/4, -1/4, -3/4, -1/4, 1/2, 1/2, 3/2, -2, 
  -3/4, -3/2, 1/4, -1, 9/4, -5/4, 19/4, -9/4, -5/2, -23/4, -3/4, 1/2, -1, 
  9/2, -11/4, 4, -11/2, -1/4, 13/2, -11/2, -15/2, -33/4, 3/8, -1/2, -1, -3/4, 
  -3/2, 1, -3/8, -1/4, -3/4, 7/8, -2, 3, 3/4, 3/4, 3/2, -1/8, 1/4, -9/2, 
  -29/4, -3/4, -3, 3/4, -2, 41/4, 13/4, 1, -1, 7, -1/2, 15/4, 21/4, -1/2, 
  9/8, -1/4, 3/2, -7/4, 1/4, -1, 5/8, 7/4, 5/4, -1, -1/4, -5/2, -3/2, -11/4, 
  5/8, 3/4, -1, 5/2, 3/4, 11/2, -7/4, -5/2, 5/2, 5/4, -6, -1/2, 43/4, 45/4, 
  -23/4, -45/4, -21/4, -1/2, 9/8, -5/8, 1/2, 3/2, -1, 1/4, -2, -1/4, -2, 5/8, 
  -3/4, 3/4, 37/8, 1/2, 1, -4, -1/2, -2, 3/4, -5/4, -7/4, 1/2, 29/4, -5/4, 
  -37/4, -31/4, 3/4, -3/2, -1/4, -1/2, -9/4, -9/4, -1/2, -3/4, -1/4, -1/2, 
  -3/4, 2, -1/2, -7/2, -9/4, -1/2, 3/4, -3/4, -1/4, -1/2, -3/4, 5/4, -1/2, 
  -7/2, -9/4, 1/4, 1/4, 1, -1/2, -1/2, -1/2, -3/4, 1/2, 1, 5/4, 2, -1/2, 1, 
  11/8, -19/8, -1/2, -21/8, -1/2, 1, -1, -1, 7/4, 3/4, -1/2, -15/8, -3/4, 
  5/8, -3/2, -1, -19/8, -5/8, 9/8, 3/4, -1/2, 1/8, -1/4, -1/4, -1, 1/4, -1/4, 
  -1/2, -1/2, 1, 1/4, -3/4, -1/2, 9/8, 1/4, -3/8, 1, -3/2, -1/2, 3, 17/8, 
  -9/4, 1, 1, -13/4, -3/4, 1/2, 3/4, -1, -5/2, 1/4, -2, 3, 1, -5/2, 1/4, 5/4, 
  1/2, -1/2, -1/2, 13/8, 1/4, 1/4, 1, -11/8, -3/4, -1, -1/2, -13/8, 1, -1, 
  -1/8, 1/4, -1/4, 5/4, -1/4, -1/2, -1, 7/4, -13/4, 5/4, -1, 5, -5/4, -9/2, 
  2, 1/16, 39/32, 1/4, -15/8, -1/4, 5/8, 1/16, -117/64, 1/2, 173/64, 3/2, 
  45/64, -1/32, -1/16, -1/4, -1/8, 1/8, -13/16, -3/4, -1/4, -9/4, -1/4, 17/8, 
  -3/8, 2, -1, -1/2, -5/8, -3/4, -9/8, 1/2, 2, 7/4, -3/8, 9/8, 1/4, 1/4, 3/4, 
  -13/2, -3/8, -1/8, 1/8, -1/4, 1/4, -2, 19/8, -1/4, -3/4, 3/4, 3/2, -3/8, 
  13/8, -5/8, -13/8, 1/8, -13/8, -1/2, 3/8, 7/4, -13/8, 7/8, 7/8, 1/4, -5/4, 
  -1/4, 7/4, 1/4, -3/4, -1/4, 3/4, 17/8, -1/2, -1/2, -5/2, 3/8, -7/4, -9/8, 
  1/4, 1/4, -1/2, 5/8, -1/4, 3/2, -11/8, 1/4, -1, 3/4, 7/4, -5/4, -1/4, -3/4, 
  1/2, 3/8, -3/2, -1/8, -1/2, 7/8, 1/2, 1/8, 1/2, -7/8, -7/2, -1/2, 5/2, 4, 
  3/8, -1, -1/8, -2, 41/8, -1/2, -4, -3/4, 7/4, 1/4, -1/4, 1/4, 11/2, 2, 
  -1/8, 1/4, 1/2, -15/4, -1/4, -1/8, -7/8, 7/8, 1/4, -3/8, 1/8, -1, 3/8, 
  -1/2, 1/8, 1/4, -1/2, 1/8, -9/4, 3/4, -13/8, 7/8, -1/2, -1/2, -1/4, 1/4, 
  3/4, -1/4, 7/8, 3/4, -1/2, 1/4, 9/4, 7/8, -1/2, 1/4, 1/4, -1/2, -1/8, 15/8, 
  1/8, -1/4, 1/8, 5/4, -15/8, -9/8, -1, -1/2, -17/8, -1/2, 3/8, 1/2, 25/8, 
  1/2, -1, 1/2, 1, -15/8, -21/8, -9/8, -3/8, -9/2, 1, -7, 37/8, -77/16, 47/8, 
  211/16, -9/2, -9/2, 19/8, 45/16, 9/8, 61/4, -1, -2, -9/8, 28, 1/8, -61/4, 
  9/8, -22, -1/8, 61/4, 41/16, -183/16, 69/8, 7/16, -349/16, -3/2, 3/4, -3/4, 
  -3/4, -3/2, -3/2, -9/16, 183/16, -61/8, 25/16, -549/16, -13/4, -45/8, 
  49/16, -65/24, -179/24, -27/8, -69/8, -37/16, 259/48, -131/16, -13/4, 
  -155/48, -4, -9/4, 3, -61/4, 1, -1, -1, -523/16, 7/8, -57/4, 3/8, 43/16, 4, 
  -1/2, -2, -1/2, 6, 8, -4, 2, -1/6, 4, -5/6, -5/2, -7/6, 13/6, 23/6, 1/2, 
  11/6, -7, -1, -4, -8, 1, 12, -12, -12, 3, -5, -4, -3, -7, 3/4, 9/8, 1, 1/2, 
  -26/3, 27, -17/2, 332/3, 167/2, 7/2, 23/6, 1/2, 26/3, -45/2, -79, -23/6, 
  -9/2, -11, -3, -3, -3, -12, 6, -6, -9/2, 3, -5, -3, -9/2, 3, -6, -2, 3/2, 
  3, -3/2, -1, -8, 9/2, -1/2, -3, 2, -7/2, 3, -6, 1, -1, -1, 3/2, 1, -3/2, 
  -1/2, 13/16, 205/32, 81/16, 11/32, 5/4, -193/16, -605/96, -101/32, 605/48, 
  -1/4, -1/4, 3/8, -8, -63/16, -121/32, -1/16, -61/8, -69/16, 3/8, -27/8, 
  1/8, -89/12, -1/16, 2, 15/8, 19/8, 85/16, -1/4, -87/16, -23/8, 1/16, 
  -27/16, 79/16, -47/16, -121/16, -169/32, 301/64, 1/3, 431/32, -3/16, 
  -89/16, 289/32, -257/32, -71/32, -73/16, -345/64, -359/64, 21/8, 149/32, 
  -9/16, -605/96, 657/64, -949/96, -89/32, -117/32, 13/32, -385/64, -191/192, 
  185/64, 29/8, 223/96, 2213/192, 401/96, -15/16, 1, -1/2, 3/4, 1/4, -51/8, 
  -1/2, 1, 51/64, -243/16, -23/2, 91/16, 1453/96, 415/96, 13/2, -4, -1/4, 
  11/2, -19/8, -3, -3/4, 5/4, -21/32, -1/2, -1/4, -5/4, 9/4, 5/8, -305/32, 
  67/16, -19/32, -47/16, 31/16, -3/4, 123/32, 31/16, 1037/32, -2, -77/32, 
  93/16, 2, -79/16, 73/32, -19/32, -23/8, -13/16, 2, 4, -4, -3/16, 77/32, 
  1/2, 17/4, -5/2, -5/12, -1/12, -1/2, 25/12, 39/4, 19/2, 5/6, 19/12, -3/2, 
  -23/12, -35/12, -25/6, 27/4, 3, 37/2, 2, 1, -3, 25/6, 1, -49/6, 13/12, 
  -1/2, 65/6, 5/4, -73/6, 73/6, -1/2, 3, -1, 3, -2, -69/8, -7/4, 11/2, -11/2, 
  -1, -1/2, -9/2, 3, 1, -1, 3, -2, -69/8, -15/8, 11/2, -41/8, 1/2, 9/4, 12, 
  -1, 3/2, 1, -3/2, -5/2, 1, 3/2, -3/2, -3/2, -2, 4/3, 44/3, -19/4, 29/2, 
  -21/2, 1, -43/4, 59/4, -23/4, -29/4, 11/6, 13/4, -11/6, 43/4, 100/3, 37/4, 
  -31/36, -63/4, 1/9, 5, 445/12, -1/12, -49/2, 91/3, -7/4, 29/4, -1/3, 7/2, 
  -47/4, 1/3, 2, -13/4, 191/12, -3/2, -83/12, 11/6, 1/2, -1, -1, 1/2, 11, 
  -4/3, 7/2, -2, 11/2, 61/6, 17/2, -3/2, -5/2, 1/2, 5/2, 2, 5/2, -2, -1/2, 
  20/3, 67/6, 25/6, 3/2, -2, 1, -3/2, 1/2, -271/120, -16/9, 2, -11/4, -3, 
  11/4, 1, 229/40, 217/120, -721/120, -931/360, 2, -1, 3, 99/40, -159/40, 
  -79/40, 1, 4, 4, -19, 3/2, 1/2, 1/2, 2, -1, -9, 7/2, -1, -4, -15/2, 7/2, 
  3/2, 16, -29/4, -9/4, 3/2, 7, -3, -6, -11, 7/2, 9/2, 6, -6, -7, 15/2, 35/4, 
  3/4, 1, -1/2, -1, 1, -1, -11/2, -1/2, 1/2, -17/4, 1, 53/12, 1/2, -3, 13/2, 
  4, -3/2, -15/4, 1, 39/8, 181/24, -7/8, 5, -4, -265/24, 1/2, -1/4, -9/4, 1, 
  19/8, 193/24, -9/8, 7/2, -4, -277/24, 1/2, 5/2, -5/2, -3/4, -7/2, 3, 1/2, 
  9, -85/18, -353/60, 623/60, -1/2, -1, -1, 3/2, 49/16, 1/2, 7/12, 10/3, 1, 
  169/48, 1/2, -1/4, 1/2, 1, -1/2, 1/4, -1/4, -9/4, 9, 28, -9, -5/2, -53/2, 
  1, -3/4, 1/2, -5/2, 21/2, 125/4, 1/2, -17/4, -1/2, 9/4, -15/2, -51/2, -3/2, 
  -3, 5/3, -6, -101/4, -3/2, 9/2, 17/4, -19/4, -9/2, -1/2, -1/2, -3/2, 1/2, 
  3/2, 1/2, 1, 1/2, -5/2, -10, -3/2, 2, 13/4, 3/2, -2, -5/4, 1, -7, -5/2, 7, 
  3/2, -13/2, -8, 15/4, 7, 6, -6, -9/2, 11/12, -7/12, -15/4, -101/24, 1/12, 
  7/4, -3/2, 7/8, 10/3, 55/12, -23/12, 11/4, 13/8, -23/12, -13/4, 5/4, 1/3, 
  -1/3, -4, 1/2, 47/40, -1/4, -1/8, -13/10, 5/8, -5/8, -1/6, 139/24, -53/72, 
  1, -1/2, -1/2, 1, -1, -1127/288, 9/16, 11/4, -5/4, 23/16, -523/96, 265/96, 
  -397/96, -9/2, -1, 127/72, 1/2, -23/96, 35/96, 11/4, -833/288, -79/24, 
  385/144, -97/96, -7/2, 635/96, 4, 7/16, -1/2, -2, 165/32, 3/2, -139/32, 
  -5/4, -13/8, 65/16, 89/32, 21/8, 33/32, -11/2, 1/2, -35/8, -1, 2, -3/32, 
  -159/32, 113/32, 99/16, -3/8, -49/32, -279/32, -23/16, 133/32, -75/16, 
  -75/8, 71/16, 75/16, 1/8, -27/16, -9/4, 1/4, 15/16, -385/64, 11/4, -1, 
  105/32, 1/4, 13/16, -83/32, 1/4, -261/32, -275/96, 3/16, -87/64, -75/64, 
  139/32, 803/64, -1/4, -93/32, -313/96, 1, 535/64, -19/4, 63/32, 53/64, 
  -983/96, -573/32, 15/4, -671/96, 7/2, -1/8, 17/32, 5/3, -1, 3/4, -13/8, 
  1/2, -35/64, -3/2, 99/64, -119/64, -31/32, 18/5, 9/8, -18/5, -1/8, -1/8, 
  -3/64, 7/12, 5293/960, -3, 341/576, 5/16, -53/32, -105/32, -3/2, 9/4, 31/8, 
  1/2, -11/8, 25/16, 3/2, 445/64, -121/32, -87/64, 3/4, 1/2, 141/64, 53/32, 
  1/8, -3, -1, -3/32, 1, 161/32, 1/2, -1/8, -15/4, -15/8, -1/4, -11/4, -2/3, 
  3/2, 17/6, -1/4, -1, 4, 11/6, 1/12, 11/4, 3/2, 5/12, -2, 13/8, -4, -109/24, 
  -7/18, 11/4, -65/24, 41/6, 305/36, -19/12, -64/9, 1/2, 11/2, 155/18, 33/4, 
  -17/12, 3/2, 41/24, -1/4, -3/8, -2, -1/3, -25/8, 3/8, -9/4, 1/2, 17/8, 
  -1/2, 15/4, 9/8, -1/3, 7/3, 1/4, -3/2, 1/2, -87/40, 5/4, 1/24, 19/5, 3/8, 
  -7/8, -19/12, -127/24, 125/72, 1/3, 1/2, -1/2, 25/4, -1/4, -3/8, 3/8, 3/2, 
  1/8, 13/2, 61/12, 13/4, -11/2, 7/4, 3/4, -19/4, -5/2, 3/2, -15/8, -6, 
  -33/8, -7/4, -4, 73/8, 3, -29/8, 251/24, 163/8, 14, -3/4, -9/8, 83/8, 
  -317/36, -7, 55/24, -9/4, 67/8, 445/24, 9/4, 1, -7/4, 3/2, -7/8, -7/2, 3/4, 
  13/4, 13/4, -1/2, -1/2, 1/2, -1/2, 1/2, -3/4, 3/2, -1/8, 1/2, -5/8, -1/2, 
  1/2, 3/2, 5/2, -1, -2, 5/4, 1, -17/6, 7/12, 3/4, 63/8, -1/12, 1/4, -1/4, 
  -23/8, -5/6, -25/4, -1/3, 1, 9/8, -5/6, 1/4, -35/18, 2/3, -29/36, -1/6, 4, 
  -3/4, -157/36, -1/2, 1, 11/10, -9/4, -11/10, 5/4, -3, 17/12, -9/8, 161/24, 
  3/8, 33/8, 79/36, -73/15, -271/72, -3/2, -287/20, -1, 1/4, 85/8, 1/4, 89/8, 
  199/40, -13/8, -19/6, 3/2, -22, -1/2, 39/4, -5/2, 1/2, 1, 3/2, -5/2, -5/2, 
  -5/2, 15/4, -5/2, -3/4, -5/2, 17/8, -1, 39/8, 11/4, -7/2, -53/8, 3/4, -2, 
  7, -6, -21/2, 2, -25/4, -5, 31/2, 13/2, -29/2, -4, 47/4, -1/2, 5/6, 1/2, 
  3/2, -11/24, 1/2, 65/12, -9/8, 2, -3/4, -5, -71/12, 15/8, -1/4, -5/8, 15/8, 
  21/8, 7/8, -5/4, -7/8, -1, -79/8, 7/8, -37/8, -1, -463/360, 1/4, 1/8, 
  -233/90, 1/8, 19/8, -7/6, 659/360, -17/72, -31/2, -29, -463/8, 393/16, 
  -167/16, 2285/48, -2631/16, 387/4, 11455/48, 4213/48, 89/8, -11/8, -29/4, 
  30, -13/2, -253/4, -55, -3, 171/2, -4, 1/2, -1/2, 69/4, -69/4, 1/2, -6, 1, 
  6, -26, 12, 9, 31/2, 208/5, 131, 49/10, -1087/10, 76/5, -3717/20, 261/20, 
  3717/20, 1941/10, 237/4, -49/20, 4321/20, -127/4, 101/48, -5/4, 131/4, -13, 
  75/2, -47/2, -27/16, 9/8, -117/8, -2239/64, 6, 147/8, -193/4, -13, -163/8, 
  -277/8, 75/2, 11/2, -27/4, 21/4, 3/2, 1257/32, 6007/48, -6341/48, -2, 
  -433/48, 87/16, 133/96, 1/4, 41/8, 487/96, 7/32, -7/32, 3019/32, -17, 
  -483/4, -517/16, -493/16, -453/8, -955/16, -1167/16, 27/4, -401/24, 
  1069/16, 57/16, -443/8, 393/8, -74, 579/16, -21/32, 315/16, 957/32, -5/12, 
  -25/4, -25/24, -1/2, -1/2, 1/2, -1/2, -1/2, -1/2, -4/3, -8/3, 7, -4, 
  1237/18, -229/2, 329/18, -2939/24, 1237/36, -261/4, 329/36, -2971/24, 
  1217/24, 4417/72, -197/8, -2779/72, -12317/72, 49/3, 4417/72, -197/8, 
  -2779/72, -1855/9, 6, 4, -4/3, -8, 381/4, 45, -93/2, 351/4, 309/4, -135/4, 
  -57/2, 451/4, -531/10, -543/20, 468/5, -198/5, 378/5, -107/10, -125/16, 
  -943/32, 17/2, -213/16, 20, 217/16, -71/32, 5/2, 1021/32, -657/64, 845/48, 
  617/16, 2419/96, 217/6, -16, -935/96, -1/6, 5/2, 137/64, -9/4, -61/64, 
  31/16, -9/4, 1/4, 229/32, -5873/480, -895/144, -36/5, 283/40, 79/144, 
  61/12, -11/6, 455/96, 1, -1/4, 11/6, 3/2, -37/8, 143/12, -11, 101/4, 
  -131/3, -565/12, -385/24, -89/2, -37/12, 209/4, -4, 4/3, 95/12, -77/12, 
  -131/4, 7/2, -27/2, -1, -255/8, -97/8, 359/8, -3/4, 1, -65/8, -95/8, 11, 
  -653/8, 65/8, 147/4, -7/2, 15, -1, 9/4, 3/2, 19/4, -18, -39, -7/4, 7/2, 9, 
  -3/4, 37/12, -24, -15/4, -3, -165/4, 3, 51, -49/12, 5, 385/6, 9, 3/4, 27/4, 
  -25/6, -88/3, -5, 59/4, -7, -59/4, 12, -55/4, 311/12, -4, 37/4, 79/12, 
  -97/12, -19/12, 217/12, 4, 292/5, 31, -6, -292/5, 2, -263/20, -1987/30, 
  15223/120, 9739/360, -159/4, 46, 225/8, 433/8, -3/4, 15/8, 15/2, -2, -91/8, 
  15/2, -55/4, -75/8, 24, -24, -25, 3/2, -3/4, -3/2, -5/4, 55/32, -9/32, 
  59/24, -1121/96, 107/96, -521/64, 641/96, 601/48, -1997/144, 829/144, 
  317/96, -10/3, 3, -289/32, 2, 61/16, -287/48, 29/4, -157/32, -13/4, 
  -137/32, 35/8, -5/8, 25/64, 2483/320, 2137/576, 109/12, 3745/192, -2, 
  223/32, 1889/96, -1/2, -43/96, 363/32, -703/24, -385/24, -81/16, -381/32, 
  589/96, -695/96, 1907/96, 155/32, 37/2, -541/32, -473/64, -121/96, 135/32, 
  -3491/192, 2219/192, -3487/192, -1111/192, -47/16, 10/3, -2, 127/32, -3, 
  -221/32, 33/4, -25/4, -347/32, -13/2, -31/16, 9/4, -1/4, 81/32, 4123/480, 
  1709/288, 36/5, -591/80, 407/48, -835/32, -63/16, -4, -195/16, 175/32, 1/2, 
  -1787/64, 169/32, -851/64, -17/32, 109/12, -23/6, 3/2, 3/2, 17/4, 37/8, 
  611/48, 15/2, -653/96, -29/96, 27/32, -4149/320, -7/32, 3/8, 981/160, 
  -11/8, 195/64, 183/80, 189/64, -295/192, 19937/320, 163/32, -255/16, 
  -6561/160, -1033/48, -45/32, -129/64, -35/4, 1083/64, 611/32, -291/16, 5/8, 
  411/32, -2375/96, -543/64, -5213/96, 543/32, -1189/96, -6113/96, 451/8, 
  -29/8, -4, -1, 93/8, -3/2, 1/8, 1489/64, -21/2, -939/64, -381/64, 191/16, 
  -55/8, -27/8, 567/32, -3/4, 59/16, -15/4, -113/32, -1309/96, -679/96, 
  -36/5, 169/15, 85/72, 3/4, 3/2, -1/4, 11/6, 3/2, 5/12, -1, 5/8, 3/2, -1/24, 
  -2, 3, 1/2, 33/4, -187/24, 93/8, 9/2, 85/36, 23/12, -25/4, -131/8, -281/18, 
  17/4, -3, 1/2, 67/4, -79/12, 53/2, 5/2, 1/4, -3/2, 5/2, -1/4, -9/2, -1, 
  -1/4, 17/8, 563/24, -2, 467/12, 23, -221/4, 29/8, 39/2, 25, 9/2, -6745/72, 
  121/24, 1693/18, 323/24, -95/4, -7, -13/4, -119/8, 6, 151/30, 1, 1223/60, 
  4381/120, 59/30, -1106/45, 23/4, 29/3, -15/2, -1049/72, -175/24, -5/2, 
  351/40, -23/16, 21/4, -887/80, -7/2, -9/40, -1229/120, 52/5, 787/60, 3, 
  -158/15, 2, -25/4, 209/20, 3/4, -2, 11/6, -194/15, 38/9, 3/4, 49/12, -3, 
  5/8, -127/16, -3/16, 5/2, 2, -5/8, -63/4, 83/8, -11, 2, 103/4, 2027/24, 
  71/8, -149/8, -5, -695/24, -15/2, 209/12, -20/3, -20/3, -433/12, -182/3, 
  5/2, -88/5, -3/2, -9, 139/20, -3/2, -31/30, -149/30, -803/30, 2519/180, 
  1099/30, 5, -217/4, -863/60, 115/2, 25/4, 313/10, -23/4, -37/8, -4321/120, 
  41/8, 173/60, 913/60, 103/2, -506/45, 323/32, -303/8, -6621/64, -185/2, 
  -1683/40, -89/8, -3179/160, 173/3, 5315/96, -3583/64, 419/8, -3131/32, 
  2533/32, -102, -9/4, 2399/40, 439/4, 149/4, -6, 73/4, 17/2, -19/4, -69/4, 
  147/4, -105/8, 49/4, 33, 131/6, -1129/9, 2363/12, 2885/72, 62, -1689/32, 
  1689/32, 457/8, -741/10, -119/4, 533/40, -1423/8, 19813/160, 397/8, 
  -13487/240, 8317/96, -16597/192, 901/9, -7525/96, -8863/144, -1529/12, 
  -54/5, 14839/240, -213/10, -371/96, -14839/240, 831/32, 1423/48, 1909/160, 
  -2381/60, 5771/96, -189/40, -25/2, 79/40, 397/48, -7, -267/32, 579/16, 
  -51/16, -537/32, 11/2, 1289/16, 2357/16, -403/16, -13925/96, -1009/48, 
  -545/8, -6367/80, -3959/160, -251/10, 3569/24, 10495/96, -2627/72, 129/8, 
  -7129/72, 599/18, -261/40, -493/15, 243/40, 2579/120, -61/3, 16801/192, 
  -8707/144, 17/5, 134627/2880, 283181/1440, -3/2, -3/2, 3/2, 5/4, -5/4, -2, 
  -13/4, 5/4, 13/4, 3/2, -1/2, -1, 1, -1, 1, 1, 3/2, 3/2, -3/4, -2, 5/4, -2, 
  -7/4, -3/2, -3/4, 3/4, 7/4, 2, 7/4, -1, -1/2, -5/4, -3/4, 3/2, -3/4, 1/4, 
  -1, 3/4, -9/8, 3/8, -11/8, 3/2, 1, -3/4, 1/8, -3/4, 1/2, -3/4, -1/4, -3/8, 
  1/8, 3/8, -3/2, -3/8, 3/8, 1/4, 5/4, 7/4, -1/2, 3/4, -1/2, -5/8, -1/4, 5/8, 
  3/8, 1/8, 1/2, 3/8, 3/8, 5/8, -3/8, -5/8, 3/2, -9/4, 3/4, -3/2, -3/2, -1/4, 
  3/2, 1/2, -1, 5/4, 1, -3/2, 3/4, -3/4, 1, 1/2, 3/4, -3/4, -1, -3/2, -3/2, 
  -1/4, 3/4, 1, -1, 1/2, 1, 1/2, 1, 1/4, 1/2, -1, -3/4, -3/4, -1/8, -3/8, 
  3/8, -1/2, 13/8, 3/8, 3/8, 1/2, -3/8, 3/8, -1/8, -3/8, -3/2, 3/2, 3/2, 3/2, 
  3/2, -3/2, 7/4, 7/4, 7/4, 9, 9, -9, -27/16, -23/4, -23/4, -23/4, 21/8, -1, 
  -1, -1, 3, 1/2, -1/2, -7/2, -7/2, -15/16, -15/16, -7/2, -27/16, 21/8, -5/2, 
  -5/2, 3/2, 9/2, 9/2, -5/2, -9/2, 9/2, 1/2, -1/2, -3/16, 3/16, 3/32, -3/32, 
  67/16, -43/32, -67/16, 17/32, 151/32, 1, -3/2, 1, 1/2, -1/2, -1, 2, 11/4, 
  -23/4, -1/4, -11/4, 7/2, 1/4, -9/4, 3, -3/4, 3/4, -1/4, 1/4, 9/2, 1/4, -2, 
  1, -583/32, -529/32, 595/64, 11, 149/16, 137/8, -333/32, -215/16, 19/32, 
  15/32, -15/8, 47/32, -43/64, -15/8, 69/8, 37/16, -107/16, 141/16, -153/32, 
  -107/16, 5/4, 11/4, 1/2, -5/4, -7/4, 1/2, -7/4, 1, -3/2, 5/4, 1/2, 9/4, 
  23/4, -31/8, -9/8, -3/8, -3/4, -39/8, -19/4, 15/8, 27/8, -15/4, 3/4, 5/2, 
  -13/4, 1, 17/4, 17/8, 5/4, 2, 83/8, 6, -5/2, -9/2, 9/2, -25/4, 7/4, 1/4, 
  -1/4, 7/4, 1/4, -3/2, 4, -4, 1/4, 4, -4, -5/2, -2, -27/4, 11/4, 1/2, 1/4, 
  1/2, 1, 1, -9/2, 9/2, 3/4, 1, 9/2, 3/4, 9/2, 9/2, 9/2, -15/4, 33/4, -13/4, 
  -9/2, 9/2, 11, 9/8, -4, -5/2, -15/4, 21/2, -13/4, 3/32, 163/32, -3/16, 
  -3/32, -77/32, 3/32, 567/64, -1/64, -723/64, -13/4, 325/64, 13/8, -11/2, 
  105/16, 1011/128, -363/128, -79/16, -535/64, -47/16, 87/16, -5/64, -5/64, 
  -13/4, -5/64, 1/4, -1/8, -13/4, -35/128, -3, 11/4, -8, -5/4, -37/4, -33/4, 
  -9/4, 2, 45/4, 51/4, -13/2, -73/4, 13/4, 7/4, -10, -4, -3/4, -5/4, -3/4, 
  11, 1, -35/4, 9/2, -13/2, 2, -19/2, 53/4, 8, 7/2, -13/2, -14, 13/4, 47/4, 
  -3/2, -2, -83/4, 21/4, 1/4, 13/8, 1/2, -5/8, -5/4, 11/8, -7/4, 25/8, 15/8, 
  7/4, 3/2, 3, -27/4, 37/8, -7/8, -71/8, 13/2, 11/8, 43/4, -13/8, -13/8, 
  47/8, -39/4, 3/4, -17/4, 7/16, -41/8, -9/4, 5/16, 51/8, 27/8, -1/8, 3/4, 
  13/4, -11/16, -3, 31/16, 1/2, 3/4, -27/16, 51/32, -37/8, 47/32, 3/4, -11/4, 
  73/32, -1/8, -11/8, 7/16, 119/32, 15/4, 65/32, -5/2, 37/8, -53/32, 11/8, 
  -7/2, 5, -39/16, 23/8, -125/16, -33/16, 3/2, -39/8, -3/4, -17/4, 95/16, 
  3/4, 31/8, -17/16, -9/8, -27/8, -3/4, 3/32, 15/8, 27/32, 3/8, 11/2, -7/32, 
  -13/8, -19/8, 29/4, 7/4, -57/32, -29/4, -95/32, -1, -55/8, -17/32, 65/16, 
  -13/8, -4, -57/16, 51/16, 105/16, 33/16, 9/8, -9/8, -19/16, 9/8, 1/16, -1, 
  -23/16, 3/32, -3/2, 43/32, 1, 33/8, -7/32, -3/4, -19/8, 3/4, 29/16, -45/32, 
  -31/8, -43/32, 13/8, 1/4, 7/32, 11/8, -1/2, -3, -13/16, 15/8, 4, 3/4, -7/4, 
  3, 3/4, 1/2, 1/2, 3/4, 3/2, 9/4, 3/4, -5/4, 5/4, -23/4, 3/2, 17/4, 3/4, 
  3/2, -9/4, 9/4, 3/4, -5/4, 5/4, -7/2, 3/2, 17/4, 3/4, -2, -1/8, -3, 3/2, 
  -1/2, 3/2, 1/8, -21/8, 7/8, -15/8, 7/8, 33/8, 1/4, -3/2, -103/16, 127/16, 
  1/2, 143/16, 1, 1, -1, -1, -37/8, -15/8, 2, 61/16, 15/8, -19/16, 3, 3/2, 
  71/16, 201/32, 111/32, -1, 1, -7/32, 9/4, -1, -9/4, 9/4, 3/2, 5/2, -4, 
  -23/8, 11/8, 2, -25/16, 5/8, 7/16, -43/8, 1/4, 2, -2, -241/32, -17/32, 
  11/4, -11/8, 213/32, -1/8, -4, 3/4, 4, 11/2, -3/4, 45/8, -11/4, -17/8, 
  -11/8, -1/2, 27/4, 3/4, -2, 2, 3/2, -103/16, -3/4, 21/8, -11/8, 107/16, 
  -1/8, 3, -1/4, 103/16, -1/4, 9/4, 3/2, -1/2, 1/4, 1/8, 2, 9/8, -5/8, 1, 
  -9/8, -47/16, 31/4, -5/2, -1, -7/4, -1/2, 25/16, -19/16, -3/64, -333/128, 
  -5/8, 61/16, 5/8, -19/16, -3/64, 83/256, -9/32, -379/256, -5/2, 37/256, 
  3/128, 3/64, 1/2, 3/8, -1/8, 77/64, 37/32, 1/2, 7, -9/8, -1/4, -29/4, -3/4, 
  9/8, -19/4, 15/4, 3/2, 19/16, -1/2, 9/4, 7/2, -3/2, -27/8, -13/4, -1/8, 
  -3/2, -3/4, 3/8, -9/4, 5/8, -4, 1, 13/8, -3/8, 3/8, 21/8, -47/8, 5/4, 7/4, 
  13/2, -15/4, -5/16, 9/4, -25/8, -3/8, 3/16, -1/2, 27/8, -1/4, -1/8, 3/8, 
  3/8, -3/16, 21/16, 5/8, -17/16, -5/8, -1/16, 1/8, -23/16, -15/16, 13/32, 
  1/2, 37/32, 9/16, 13/4, 1/32, -7/16, 3/8, 3/2, -3/2, 3/8, -17/4, 7/8, -3/8, 
  31/8, 5/8, -9/8, -25/8, 15/16, 3/4, 4, -3/4, -9/8, -1/2, 3/8, 11/8, -13/8, 
  -7/8, 3/8, -3/8, -3/2, 11/4, 25/16, 3/2, -15/8, -11/4, -9/8, -1/2, 3/8, 
  19/4, -51/16, -5/4, 23/16, 1/8, -15/4, -1/2, 5/2, 1/4, -1/4, -19/16, -1/2, 
  -19/16, 3/8, -3/8, 1/2, 4, 3/8, -5/8, -3/8, 3/8, -3/4, 9/8, -3/8, 3/2, 
  -5/8, -3/8, 1, -3/8, -1, 5/4, -3/8, 7/8, 1/8, -1/8, 3/8, 3/4, 3/2, 1/8, 
  -3/4, 1/2, -1/2, -5/2, 1/8, -1/2, -3/8, -1/4, 3/8, 3/4, -5/4, -5/8, 2, 3/8, 
  -105/16, -3/8, 1/2, 2, -15/8, 109/16, 1/2, 3/2, -1/2, 125/16, 9/4, -1/4, 
  -1/2, -133/16, -1, -1, 3, 1, 13/8, 13/8, -9, -1/8, -1/8, -311/32, 27/4, 
  -37/8, 11, 61/8, -117/16, 763/64, -159/16, -2177/64, 29/4, 29/4, -67/16, 
  -499/64, -25/16, -619/16, 1, 3/2, 5/2, -2565/32, 69/2, 1, 1, -5/2, 1817/32, 
  -753/16, -73/32, 401/32, -2391/64, -7/32, 73, 7/4, -21/16, 21/16, 21/16, 
  7/4, 25/16, 105/32, -2101/64, 15, 39/32, 6059/64, 2617/64, 2003/64, 
  -319/64, -1019/72, -379/36, 2009/64, 505/32, 585/32, -6329/576, 2415/64, 
  1579/64, 2761/576, 2, 23/8, -5, 619/16, 1/2, 2, -1/2, 12003/128, 679/128, 
  4695/128, -3/8, -373/64, -6, 3/2, 4, -6, -5/2, -1/4, 2, -1/2, 2, 5/2, 1/12, 
  -10, -1, 5, -2, 1, 2/3, -2, 11/18, -6, 8/9, 9/2, 433/36, -487/36, -617/36, 
  -1, -152/9, 7/2, 9/2, 1, 3, 3/2, 6, 8, -1/2, -25, 25, 25, -9/2, 35/2, 6, 
  9/2, 9/2, 1/2, -17/16, 37/32, -37/16, -1/2, 479/18, -24, 103/4, -5539/36, 
  -257/2, -27/2, -473/36, -1, -479/18, 34, 277/2, 473/36, -10, 1/4, 15/4, 
  -35/4, 9/2, 33/4, -33/2, 21, -9/2, 237/8, -15/4, -157/8, -87/8, 117/8, 
  -149/8, -37/4, 45/8, 19/2, -3/8, -53/4, 3/8, 15/4, 37/2, -39/8, -33/4, 
  -87/8, -13/2, 5/2, -31/4, 45/8, -9/2, -3/4, 9/2, -21/4, 3/4, 19/4, 1/4, 
  -29/32, -2831/128, -233/32, -617/64, -51/32, 2913/64, -4397/1152, 665/32, 
  -1667/72, 1/4, -3/16, 7/16, 9/32, 1859/64, 231/32, 1849/128, 25/32, 741/32, 
  95/64, 943/64, 1/2, 319/32, 7/4, 13765/576, 87/64, -163/32, -123/16, 
  -125/8, -125/64, -17/2, 875/64, 205/16, -27/32, -171/32, -247/32, 19, 
  855/32, 1947/64, 1649/256, 6881/288, -289/192, -79/24, 31/2, -1235/64, 
  517/128, 1445/128, 241/64, 43/8, 947/256, 7181/256, -65/8, -149/4, -297/32, 
  3395/576, -12479/256, 40223/1152, 885/64, 2371/128, -181/64, 5053/256, 
  2119/2304, 2613/256, 1263/128, -4237/576, 53717/2304, 31319/1152, 155/64, 
  -9/2, 3/4, -29/8, 9/8, 3483/128, 15/8, 155/128, 3259/256, 5037/128, 119/8, 
  -965/128, 4333/1152, 5561/576, -129/8, 10, 1/4, -61/4, 10, 73/8, 1/8, -5/4, 
  183/16, -1, 17/16, 5/4, 1/4, -23/16, 667/32, -2933/256, 327/256, 111/256, 
  -15/2, 21/16, -3299/256, -49/16, -1323/16, -1, -75/64, -1887/64, 1, 
  4631/256, 541/128, -2701/256, 103/4, 355/128, 181/256, -17/2, -3411/256, 
  13/2, -687/256, -2701/256, 9/2, 3/16, -2035/256, 4, 3/8, 1/6, 49/36, 
  -71/24, -59/9, -583/72, -19/18, -17/24, 3/8, 73/72, 11/2, 197/72, -65/36, 
  -127/36, -907/72, -19/2, -7/4, 53/4, -8/9, -15/4, -7/2, 493/72, -3/2, 5/4, 
  -259/18, -14/3, 1045/72, -19/3, 1, 1, 2, -13/4, 4, 279/32, 19/8, -37/8, 
  33/8, 9/2, 1, 41/4, 2, 3/4, 2, -13/4, 4, 279/32, 11/32, -37/8, 153/32, -2, 
  -33/8, -9, 5, -7, -5, 7, -17/4, -5, -25/4, 7, 25/4, 3, -37/18, -109/9, 3/4, 
  -107/8, -3/2, 5, 395/12, 53/4, 199/16, -29/4, 437/72, -73/24, -95/72, 4/3, 
  -385/72, -41/4, 1597/216, -1/4, 87/4, -2033/432, -39/4, -1249/72, 50/9, 
  181/8, -493/72, 3/4, -7/4, -107/24, -17/4, 61/4, 107/24, -19/2, -1/2, 
  -112/9, 97/8, -77/36, 71/18, -5/4, 3/2, 2, -7/4, 11/4, 2, -4, 11, 3/2, 2, 
  -1, 3, -5/4, -409/24, -125/8, 15/4, 3/4, -3/4, 5/4, 15/4, -5/2, 3, 3/4, 
  -32/3, -373/24, -5/8, -1/8, 5/2, -13/3, 6, -5/3, -4237/1440, -32/27, -53/6, 
  -49/8, 49/4, 49/8, -41/12, 1729/160, 8761/1440, -12697/1440, -35723/4320, 
  -13/2, -1/2, 5, 11/2, 849/160, -989/160, -949/160, -1, -15, -11, 3, -1/2, 
  1/2, -49/8, -17/2, 285/8, 77/4, 43/2, -5, 13/2, -151/4, -5/4, 1/2, -19/4, 
  77/16, 9/16, -219/8, -45/4, 21/2, 51/8, 89/4, 43/2, 453/8, 257/8, 6, 
  -117/4, 7/8, 3/4, -25/16, -7/16, -5, 5/2, -1/4, -9/2, -3/4, 21, 17/8, 1/2, 
  251/16, -3/4, -875/48, -21/8, 19/4, -25/4, -14, 91/16, 61/4, -11/4, 
  -539/32, -1673/96, -15/32, -265/16, 27/8, 2219/96, 5, 11/8, 65/8, -11/4, 
  -207/32, -1901/96, 15/32, -277/16, 27/8, 2195/96, 5, -89/8, -2, 13/16, 
  115/12, -13, 41/12, -25/4, 221/27, -15299/720, 10619/720, 5/4, -1, 9/2, 
  -7/4, -525/64, -1, 949/48, -509/192, 27/16, -5/2, -1685/384, -5/4, -9/8, 
  1/2, 1, 9/8, -9/8, 6, -8, -167/4, 8, 9, 153/4, -5/4, 11/4, -3/2, 15/2, 
  -45/4, -429/8, -5/2, 87/8, 7/4, -6, 12, 36, -17/4, 53/4, -467/72, 13/4, 
  377/8, 9/4, -4, -15/4, -3/2, 5/2, 15/4, -1, 13/8, 4, 11/2, -13/8, -25/4, 
  -9/2, 9/4, -21/4, -9/8, 35/4, 24, -17/8, -19/4, 7/8, -29/8, -95/16, -5/8, 
  -1, -3/4, -1/2, 3/4, 3/2, 21/8, 11/2, -215/16, -21/8, -3/8, 3/8, -1/8, 
  -1/2, -89/24, 49/24, 433/32, 857/96, -31/24, -161/32, 35/24, 9/8, 23/16, 
  -241/96, -665/48, 133/48, -19/3, -241/32, 55/12, 17/12, 3/4, -7/6, 209/48, 
  -7/12, 39/16, -13/12, 13/24, 7/5, -1/8, -41/16, -171/40, 55/48, 55/16, 
  71/288, -2483/720, 3839/864, -3/2, 1/2, 1, 1, -1, 6899/432, -81/64, -79/8, 
  13/8, -295/64, 969/64, -1133/384, 4109/384, 45/4, 11/4, -5345/864, -7/4, 
  355/384, 653/384, -925/64, 32083/3456, 321/64, -9479/1728, 7291/1152, 55/8, 
  -5525/384, -595/64, -35/64, -121/64, 43/16, 91/32, 1, -5/16, -13/8, 81/32, 
  -441/64, -2025/128, -513/128, 455/128, 45/4, -19/4, 481/64, 4, 55/32, 
  -373/64, -125/16, -261/64, -1/32, 77/32, 277/32, 1253/128, 155/64, 37/8, 
  -15/16, 83/32, -157/16, 15/16, -3/32, -383/128, 25/4, -3/8, -207/64, 
  279/16, -145/32, 27/8, 9/256, -7/8, 121/64, 1291/128, -3/8, 1015/64, 
  37/288, -155/128, -67/32, -295/256, 2441/256, -1071/64, -4295/128, 29/4, 
  17/2, -6283/1152, -17/8, -7073/256, 65/128, 505/64, -1883/256, 24997/1152, 
  13069/768, -81/8, 19459/1152, 3/2, 3/32, -403/128, -19/3, 7/2, -167/32, 
  261/32, 95/32, 2429/256, -5/8, -2565/256, 521/256, 1111/384, 457/40, -17/4, 
  -457/40, 4/3, 3/32, 157/256, -203/144, 24035/2304, 5, 39055/6912, -19/64, 
  77/16, 1123/128, 895/256, -39/4, -8, -1159/512, 5/2, -47/64, -33/16, 
  -2699/128, 481/64, -1265/128, -109/32, -1, -1035/128, -77/16, 5/8, 669/64, 
  139/16, -107/512, -375/64, 3/2, -227/32, -17/16, -5/8, 763/256, -11/8, 5/8, 
  33/4, -1/24, -21/4, -49/8, 7/8, -5/8, 5/2, -55/6, 41/24, 5, -23/4, -27/8, 
  -59/24, 47/8, -371/48, 27/4, 33/4, -155/108, -3/4, 523/48, -245/48, 
  -1183/432, 19/24, 899/108, 75/16, -5/16, -2983/216, -27/8, 1/2, 137/24, 
  -1/2, -305/32, -265/96, 1/4, 217/32, 3/4, -13/16, -61/32, 257/48, 1/2, 
  -7/4, 269/32, 1, -1/4, 49/32, 39/8, -7/4, -237/32, 5/4, -33/8, -13/8, 
  -47/32, -11/4, 4/3, -1/2, -119/12, 1/8, 173/24, -67/24, -21/40, -29/8, 
  217/48, -63/80, -281/48, -89/16, 37/288, 3923/720, -59/864, -4/3, -4/3, 
  3/4, 11/6, -26/3, 9/8, 79/48, -27/4, 6, -23/4, -23/16, -16, -445/48, 15/8, 
  115/8, -35/8, -43/8, 37/4, 47/4, -6, -11/16, 149/16, 151/8, -17/8, 49/8, 
  -12, -11/8, 113/16, -2081/144, -71/16, -33/8, -71/8, 445/48, -87/16, 
  -5033/432, 29/8, 641/144, 3/4, -31/8, -2221/144, -3/4, -17/8, 63/16, -19/8, 
  -1/4, 33/4, -49/16, -9/16, -53/8, -83/16, 11/4, 3/8, -1/4, 3/8, -1, -5/4, 
  1/8, -7/2, -1/4, -11/16, 2, -3/2, 9/8, -27/8, -1/2, 3/8, -1/8, -5/2, 
  241/24, -31/24, -161/32, -1625/96, 1/24, -87/32, -7/24, 9/8, 13/16, 197/96, 
  307/16, 1/4, -11/24, 45/32, 47/24, -3/8, 15/8, 5/8, -13/12, 49/48, 1/24, 
  -5/2, -53/16, -27/16, -35/16, -35/12, 29/5, 27/8, -29/5, -11/24, -37/24, 
  499/160, -145/144, 109/16, 6727/1440, -145/48, -103/16, -635/864, 
  -4727/1440, 5125/864, 21/4, -501/20, 45/16, -13/8, 257/16, -5/8, -1069/160, 
  7619/480, -207/32, -731/360, -9/4, 85/8, -3/8, 9/8, 3, -5/2, -47/8, -19/4, 
  17/4, 135/8, 37/4, -75/8, 4, 25/8, 53/8, 27/4, -5/4, 151/8, 10, 43/8, 
  -35/4, 13/4, -87/8, 11/8, 51/8, -5/8, 33/4, 11, -51/4, -25/8, -153/16, 
  61/8, 75/8, 63/8, -69/8, 2, -155/48, -15/8, 33/32, 229/96, 9/8, -403/32, 
  -65/6, 47/16, 35/16, 13/32, -9/2, 65/16, 673/48, -173/32, 145/16, 35/32, 
  -267/32, -47/32, -85/32, 13/8, -11/32, 35/8, 857/32, 23/8, 213/32, 183/32, 
  -179/16, 103/24, -5297/2160, -13/8, -39/16, 3379/270, 67/48, -81/16, 
  179/288, -2549/216, 2435/864, 69/4, 121/4, 3831/16, -4659/64, 7567/64, 
  -71875/576, 28971/64, -2265/16, -173375/576, -81179/576, -1981/64, 15/8, 
  -31/2, -135/4, 51/2, 1237/8, 1349/8, 7, -1635/8, 4, -5/2, 3/2, 1/2, 
  -817/16, 801/16, -5/2, 44, -5/2, -44, 69, -12, -37, 15/4, -66, -1123/36, 
  57/4, -8229/80, -1249/80, -10191/40, -195/8, 10191/40, 16039/60, 869/72, 
  -57/8, 5663/20, -61/4, -77/72, 955/192, -1017/8, 21/2, -593/16, -7/16, 
  -3017/32, 105/4, 9/16, -119/64, 1, 1305/64, 945/16, -69/4, -2303/64, 
  9273/64, 2057/64, 481/8, 8179/64, -5147/64, 7/4, 57/4, 1, 55/8, -9/8, 
  -37427/192, -399817/1152, 105281/1152, 3, 2233/288, -485/192, 4, -125/16, 
  -1105/144, 11/64, -2317/64, -43/144, 5/128, 3/64, -5/128, -28487/192, 
  421/8, 12967/32, 697/128, 21985/384, 2831/16, 2069/32, 2409/32, 123/16, 
  27335/576, -30761/192, -34187/256, 13133/256, -5379/32, 15811/192, 
  -6447/64, -811/256, -2915/64, -16289/256, -5/4, 1/4, 113/72, 14, 119/72, 
  -1/12, 3/4, 3, 55/6, 10/3, -1/4, -1/12, -1/4, 2, -3/4, 44/9, 1/9, -29/3, 
  15, 2, -1, 5/6, -19895/216, 1297/8, -48793/216, 9961/96, -19967/432, 
  1457/16, -48505/432, 28747/288, -13285/96, -145091/864, 1201/32, 75755/864, 
  164851/864, -1439/48, -145091/864, 1265/32, 75755/864, 133409/432, 5/2, 
  -9/2, 35/9, -2, -3913/16, -1023/4, 59/4, -4761/16, -2521/16, -27/16, 89/4, 
  -19027/48, -5997/40, 5493/80, 5417/40, -8157/40, 7947/40, 293/2, 3655/64, 
  1909/32, -409/16, 4063/128, -4397/384, -2237/128, -799/64, 347/64, 
  -4165/64, 6753/256, -18079/576, -16441/384, 305/576, -36211/576, 43/8, 
  18701/576, 5/12, -17/2, 1237/768, -47/16, 765/256, -1297/192, 77/8, -67/24, 
  -3303/128, -120077/5760, -9037/3456, -77/4, 931/48, -221/54, -1979/144, 
  131/36, -635/36, 7/6, -181/96, -131/36, 61/12, 31/4, -4837/144, 209/8, 
  -703/48, 7601/72, 361/6, 4255/144, 1515/16, -623/72, -1743/16, 509/48, 
  -209/36, -1019/36, 2989/144, 2797/72, -10, 12, 11/2, 875/32, 595/32, 
  -2875/32, 11/4, -1/4, 1841/32, 3163/96, -255/16, 4901/32, -1885/32, 
  -1013/16, 40, 21/2, 6, 89/8, -17/2, -53/4, -11/4, 367/6, 21/4, -40, -73/2, 
  -159/8, 683/72, 26, 57/4, 3, 417/8, -3, -627/8, -599/72, -19/3, -3355/36, 
  -145/24, 21/2, -39/4, 29/72, 350/9, 55/8, 31/8, 3, -6, -31/8, 25/8, -13/2, 
  -9/2, -11, 5, -405/8, 135/8, 259/8, -19/4, -127/4, -53/3, 1159/20, -107/4, 
  49/2, -2269/40, -41/6, 899/80, -36019/1440, 130327/1440, -101881/4320, 
  -15/8, -1187/32, 305/32, -1237/288, -3/8, -15/4, 39/16, -339/16, 65/16, 
  471/16, -15/4, -39/16, 675/16, 15/2, -45/8, 45/8, 49/8, -53/8, 3, -5/4, 
  85/16, -2701/384, 839/384, -131/192, 29599/1152, -21887/1152, -517/256, 
  -10379/384, -14405/576, -43175/3456, -15535/1728, -4423/1152, 43/3, -27/2, 
  -1037/128, -381/64, 13187/1152, -499/16, 1435/64, -67/16, 4223/384, 
  -331/16, 587/48, 8617/256, 16051/1280, -61237/6912, -55255/1152, -8977/288, 
  85/12, -305/8, -9773/144, -2401/128, 82345/2304, -1799/96, 169423/2304, 
  88705/2304, 2543/128, 2219/96, 36961/1152, 161441/2304, -1457/144, 
  -1045/32, -1923/128, 2291/128, 7069/256, -17497/1152, -909/128, 1273/36, 
  -90373/2304, 36893/2304, -20719/2304, -115/64, -43/3, 8, 1505/128, 3/4, 
  1981/128, -747/32, 455/16, 323/128, 351/16, 1297/192, -77/8, 67/24, 
  -409/128, 127387/5760, -2627/3456, 77/4, -151/8, 901/288, 2097/32, 
  1127/256, 47/4, 1407/32, -2339/256, -35/32, 41925/512, -1147/256, 
  13659/512, 2169/512, -18625/1152, 91/6, -21/4, -10805/384, 25/16, -419/64, 
  -4241/1152, -659/24, 43333/1152, 3565/1152, 115/128, -4639/640, 3/128, 
  -1/8, 22809/1280, -5/8, -4513/256, 8273/960, -3847/1280, -36325/2304, 
  -104953/640, -12565/768, 1673/256, 43969/1920, -22975/2304, 7081/256, 
  2567/192, 943/32, -7925/256, -74767/512, -2879/512, 2635/128, -4881/128, 
  112163/2304, 59/64, 139333/1152, -58883/768, 11245/144, 153697/1152, 
  -76417/768, 703/256, 187/12, 4, -8643/256, 41/4, 5351/512, -7075/128, 
  109/8, 1813/64, 5123/256, -8531/256, 555/32, -1661/512, -10327/256, 
  -503/256, -733/64, 63/4, -17/4, 469/128, -174299/5760, -661/1152, -457/20, 
  9001/288, 329/216, -1/72, -101/72, 1/24, -17/8, 77/24, 125/36, 5/4, -71/16, 
  -59/16, 103/48, 5/2, -1/24, -1/18, 13/36, -11/4, 721/144, -423/16, 275/16, 
  2281/432, 41/8, -263/24, 371/16, -14539/432, 15/4, -485/24, -97/6, -175/36, 
  1531/72, -481/36, -25/4, 1/4, -5/8, 27/8, -65/8, -29/8, 17, 5/4, -11/4, 
  29/4, -87/32, -1221/16, 8, -1631/48, -89/4, 227/4, 647/32, -171/8, -1059/8, 
  -29, 154595/864, -913/36, -60037/432, -6313/288, 140/3, 209/12, 21/4, 
  -5/16, -49/2, -46/9, 85/12, 14801/720, 1619/180, -311/36, -11713/2160, 
  -53/8, 1711/72, -537/16, -3239/432, -1739/144, 63/8, 145/8, 63/32, -191/16, 
  -525/32, 85/16, -2369/160, -3811/720, 6977/240, 413/60, -11/6, -59/12, -8, 
  321/16, 21/16, -335/48, -45/4, 191/72, 76/45, -3955/216, -227/16, -539/24, 
  27/2, 17/16, 3329/96, 215/32, 61/4, -35/2, -427/48, 181/4, -1927/32, 215/4, 
  -33/4, -709/8, -6651/32, -3601/32, 3275/32, 263/8, 645/32, -14, -887/16, 
  61/12, -151/24, 5707/48, 2645/24, 121/12, -157/5, 3, 151/4, -169/60, -59/6, 
  -241/9, -36103/720, 24899/720, 53839/2160, 10697/180, -551/16, 1285/16, 
  -34253/720, -529/8, -653/24, -26, 93/4, -55/32, 1389/32, 545/96, 27623/720, 
  -5897/720, -7879/144, 18431/2160, -4221/32, 1917/32, 26557/256, 3229/32, 
  196191/640, -11815/96, -44119/320, -45187/576, 73075/576, 100273/384, 
  -2963/32, 26763/256, -121955/768, 1195/16, 20557/96, 65119/480, -4991/32, 
  -9251/48, 6, -969/16, -14, -209/24, 109/2, -475/4, 2339/96, -387/4, 
  -1937/32, -1901/96, 63733/216, -43015/96, 4342/27, -317/3, 87263/768, 
  -87263/768, -20311/96, -721/5, 115/4, 7667/40, 213, -203737/1920, 
  -394195/1536, 514237/11520, -41869/576, 1461/32, -137825/432, 17617/96, 
  226667/6912, 40499/128, -1011/40, 315841/2880, -4669/80, -12259/576, 
  -315841/2880, -5047/64, -67345/1152, 15037/640, -12259/576, -6149/36, 
  274/5, 505/8, -1847/40, -38027/576, 319/8, 16509/256, -16561/128, 
  -3617/256, 14859/256, -4495/128, -72017/768, -143923/256, -116581/768, 
  224659/1152, 231329/576, 58943/160, 341263/1280, -45413/640, 382097/1280, 
  -925631/2304, -103183/768, 137473/864, 3313/32, 279767/864, -24901/216, 
  -265/8, -6916/45, -3469/480, 23749/180, 1195/72, 334757/1280, 552995/1728, 
  -596719/2560, -530947/3456, -1304867/3456, 1/2, 1/2, -1/2, -1/2, 1/2, 3/4, 
  5/4, -1/2, -5/4, -1/2, -1/2, -1/2, -1, 1/2, 3/4, -1/2, 5/4, 3/4, 1/2, 1/2, 
  -1/2, -3/4, -5/4, -3/4, 1/2, -1, 1/2, 1/4, 1/2, -1/2, 3/4, -1/4, 7/8, -1, 
  -5/8, 1/2, -1/8, 3/4, 1/2, 1/2, 1/4, -1/4, -1/4, 1/2, -3/8, -3/8, -5/8, 
  -3/4, 1/4, -5/8, -1/2, 1/4, 3/8, -1, 3/2, -1/2, -3/4, 1/2, 1/2, 1/4, -1/2, 
  -1, 1/2, 3/4, 1, -3/4, -1/2, 1/2, 1/2, -1/2, 3/4, 1/2, -3/8, 1/4, -1/4, 
  1/4, -7/8, 1/4, 1/8, -1/8, 1/4, 1/2, -1/2, -1/2, -1/2, -1/2, 1/2, -1/2, 
  -1/2, -1/2, -5, -5, 5, 5/16, 2, 2, 2, -7/8, -1, -1/2, 1, 1/2, 1/2, 1/16, 
  -1, -3/8, -7/8, 3/8, -1/2, -1/2, 1/2, -3, -3, 3, 1/2, -1/2, 3, 3, 9/16, 
  9/16, 3, 5/16, -7/8, 1/16, 3/2, 3/2, -1, -3/8, -7/8, 3/8, -1/16, 1/16, 
  -1/16, 1/16, 3, 3, -3, -5/2, -5/2, 5/2, 5/2, 5/2, -5/2, -3/2, -3/2, 1, 3/2, 
  -1, 3/64, 3/64, -3/128, -3/128, -3/64, 3/128, 4, 3/2, -3/128, -3/2, -9/4, 
  1/4, -4, -29/128, -1/4, 1, -1/2, -2, 7/16, -3/2, 23/8, 3/2, 9/4, 7/4, 2, 
  -63/16, -11/2, -9/4, 7/2, -1/12, -1/6, 1/6, 7/12, 3/4, -2/3, -1/2, -1/16, 
  -1/4, -1/4, 1/4, -1, -1/2, -1/4, 3/16, 3/8, 3/16, 3/8, 1/16, 1/16, -1/2, 2, 
  -1/4, 1/2, -3/4, 1/2, -3/4, 1/2, -1/4, 1/4, -1/2, -7/4, -1/4, 3/4, -1/2, 
  467/64, 447/64, 3/64, -479/128, -9/2, -67/16, -457/64, -3/64, 139/32, 
  77/16, -103/32, -21/16, 83/32, -57/16, 61/32, 83/32, -37/8, -23/32, 115/32, 
  -143/32, 191/64, 115/32, -1/2, -33/16, 7/16, -31/16, 5/2, 7/4, 5/2, 21/8, 
  33/16, -63/16, -23/4, -25/16, 7/2, 11/8, -1/8, -9/2, 11/4, 3/4, -1/8, 1/2, 
  -5/24, 5/48, 5/24, 5/8, -35/24, -5/8, 25/48, 3/4, -15/4, -5/48, 11/4, -1/2, 
  3/8, 5/4, -3/8, -5/8, 1/2, 2, -1/6, 1/6, -1/2, 1, 3/4, -3/4, -35/48, 1/2, 
  -7/4, -5/4, 1/2, 1/2, -1, 3/4, -3/2, -1/4, -1, 1, -1/4, -1/2, 3/4, -2, 
  -1/4, 1, 1/2, -3/4, 5/4, -1/2, -5/4, 5/4, -5/4, 1/2, 11/4, 3/2, -9/4, 1/4, 
  7/4, -3/4, -1/2, 2, -1, -1/2, 9/4, 3/4, 3/4, 5/4, -5/4, 3/4, -1/2, -11/4, 
  -3/2, -7/4, 9/4, -1/2, 17/8, -19/8, -13/8, 1/8, 11/16, -1/16, 1/2, 3/2, 2, 
  -1/2, -1/2, -2, 11/4, -3/4, 1/8, -1/8, -1/4, 3/2, 7/4, -11/16, -3, 3/4, 
  -41/16, -2, -3/4, 1/2, -1/4, -1/4, -11/16, -3/2, -1/2, -33/16, -3/4, 7/8, 
  3/2, -2, 11/4, -3/4, 1/8, -1/8, -3/4, 1/8, 3/2, -1/2, -1/2, -1, 1/2, 1, 2, 
  -2, -5/8, -1/2, -2, -5/8, -2, 1, -1/2, -7/4, 7/8, -1/2, 3/4, 3/8, -3/8, -2, 
  -2, 11/8, -27/8, 5/4, 2, -2, -19/4, -3/16, 15/8, 5/8, 11/8, -33/8, 5/4, 
  -3/64, -247/128, -2, 125/128, 1, -3/64, 3/2, 195/128, 3/64, 253/128, -1, 
  3/64, -195/128, -467/128, -3/128, 2403/256, 15/4, -1105/256, -15/8, 9/4, 
  -151/32, -173/32, -193/256, 67/32, 457/128, 9/4, -139/64, 3/128, 3/128, 
  1/4, -1/4, 5/4, -1/4, -647/256, -93/128, 621/256, 3/128, 1/4, -1/8, 5/4, 
  -99/256, -377/256, 301/256, 589/256, -1, -23/48, -17/8, 11/8, -1/8, 19/24, 
  1/4, 3, 1/2, -11/6, -1/2, -13/16, -61/48, -6, -29/24, -7/12, 41/48, 33/16, 
  27/16, 3/16, -5/4, -1/2, 7/24, -1, -43/48, -11/48, -5/2, 9/8, 3/2, 1/4, 
  3/4, -1/3, 19/8, 1/2, 5/4, 1/2, -41/24, 13/16, 47/24, -1/48, -19/8, 1/2, 
  -41/48, -103/24, -7/8, 17/12, 7/16, 5/2, 17/12, -5/4, -1/12, 13/4, 9/8, 
  -3/4, -1/24, -119/24, -5, 5/2, 91/12, -5/4, 9/16, 43/48, 13/8, 4/3, 1, 
  33/8, 11/16, 47/48, -59/24, -77/48, 17/12, -13/8, 13/16, 59/48, -19/4, 
  -3/8, 31/8, -2, 11/4, -3/4, 15/4, -137/24, -27/8, -9/8, 5/2, 19/3, -5/4, 
  13/8, -9/4, 5/8, -1/24, 83/48, 197/48, -185/48, -1/16, -13/8, -5/8, 77/48, 
  1, 5/16, 1/8, 9/8, -15/16, -1/2, -3/4, -5/8, -1, -1, -3/4, -7/4, 1, -7/16, 
  -5/16, -13/16, 3/8, -5/16, 3/4, -1/4, 29/16, 21/16, 1/2, -3/16, -5/8, -1/2, 
  -1/16, 5/16, -7/16, -5/16, -11/16, 7/16, 7/8, 3/4, 5/8, 3/8, -5/8, -1, 
  -3/16, 1/2, -1/2, 1/16, 11/16, 1/4, -3/8, 13/16, -11/8, -5/16, -9/8, -3/2, 
  7/8, -2, 11/4, -1, 1/4, 11/4, -23/8, 1, -23/8, 1, 7/8, -3/4, 7/8, 1/8, 
  27/16, 5/16, -3/16, 3/8, 11/16, -3/8, 21/16, -7/4, -11/16, 3/16, 2, 27/16, 
  -3/4, 3/4, 37/64, 1/8, -37/64, -5/2, 1/2, -3/16, 3/8, 1, -73/64, 3/16, 
  -9/4, -139/64, 3/8, -9/4, 59/64, 41/16, 3/2, -3/8, 27/64, -11/16, 3/8, -1, 
  15/8, -7/16, 3/2, -53/16, 7/16, -1/2, 23/16, 3/4, -117/64, -1, 67/64, -3/8, 
  1/16, -1/4, 5/8, -7/4, -15/64, 3/16, -1/8, -27/64, 49/16, -21/64, 13/8, 
  -21/16, 5/4, 27/64, -5/4, -1, -7/16, 5/16, 7/16, 11/16, -1, -109/64, 13/4, 
  59/64, -5/4, -1/8, 1/16, -5/8, 5/8, 1, 57/64, 3/16, 1/2, -59/64, -1/2, 
  -21/64, -1/8, -7/16, -1/4, 27/64, 1/2, 1/4, -1, 1/4, 1/2, -1, -3/2, -1/2, 
  7/4, 1, -1/4, 3/2, -2, -1, 3/2, -3/2, -1/2, 7/4, 1, -1/4, -2, 2, -1, -1/2, 
  -1/2, 3/4, -1/2, -1/4, 1/2, 1/8, -1/8, 1/2, -5/8, -1/2, 2, 7/16, -29/16, 
  -7/16, -3/16, -3/4, -43/64, -1/8, -35/64, -1/2, -1/2, -15/16, 2, -2, -1, 
  -7/16, 5/16, 7/16, 11/16, -21/8, 2, 67/64, 7/8, 43/64, 5/8, -11/16, -2, 1, 
  -1/2, -5/8, 2, -3/4, 5/8, -2, 2, -1, 7/8, 1/2, -1/2, -5/8, -7/8, -1/2, 2, 
  -1/8, -2, -15/4, -15/16, 11/8, -1/2, 9/8, 15/8, -37/8, 3/4, 3/4, 5/2, 7/16, 
  -41/16, -7/16, 1/16, -115/64, 1, 45/64, -1/2, -1/16, -3/4, -3/2, 1/4, 1/4, 
  -3/64, 83/128, 1/4, -1/4, 5/8, 1/8, -1/4, -3/2, 19/4, 3/8, 9/4, -5/8, 3/8, 
  2, -11/4, -1, -97/24, 3/4, -3/2, -5/4, 1, 9/8, 7/4, 13/8, 1/4, -1/4, 1/16, 
  21/16, 3/2, -1/4, 11/4, -5/8, 1, 1/4, 1/2, 35/48, 3/8, -9/16, 2, -5/4, -1, 
  -49/8, 9/4, -1/16, -5/4, -1/8, 3/16, -1/4, 9/16, 1/8, 1/8, -1/32, 5/32, 
  -37/32, -21/32, -7/16, 9/16, 1/8, 11/16, -5/16, 11/32, 67/64, 17/16, 7/16, 
  69/64, -1/4, -1/2, 1/8, -13/16, -7/16, 15/32, 1/2, -7/16, 1/32, 3/2, -9/32, 
  -7/16, -3/4, 1/8, 1/4, -1/32, 5/32, -7/16, -15/8, 19/8, 5/8, -1/2, -7/32, 
  3/16, -5/32, -1/8, -7/16, -1/4, -9/32, -7/16, 3/16, 9/4, 7/16, -21/16, -1, 
  7/8, 3/2, -7/8, -1/2, 7/4, -1/2, -37/8, 3/4, 13/8, -1/4, -1/4, 7/8, 3/8, 
  -1, -1/8, 1, -5/8, 1/8, -1, -1/4, 3/4, 1/2, -1/4, -13/4, 13/32, 11/4, -1/8, 
  5/8, 13/4, 1/4, -3/2, -3/4, -1/4, 9/32, 1/4, 1/4, -11/8, 1/2, -3/4, 1/4, 
  7/8, -1/4, -1/4, -1/8, 1/2, -1/4, -1, 3/8, 1/2, -1/4, 1/4, -3/8, -1/2, 3/8, 
  -1/4, 1/2, 1/4, -1/4, 3/8, 1/4, -3/8, -3/8, -5/8, -1/2, 1/8, 1/2, -1/16, 
  523/64, -7/16, -2, -11/32, -21/32, 439/128, -5/32, 9/2, 11/32, 375/64, 
  491/128, 5/32, 311/64, 1/16, 34/9, -155/576, 7/16, 347/144, -7/8, -9/4, 
  -1/2, 17/16, -17/4, -53/16, 7/8, -143/64, 5/2, -25/32, -609/128, 7/2, 
  1755/128, 1/2, 3/2, -5/2, -5/2, 3/2, 509/128, 1/2, 497/32, 1/12, -1/2, 
  -1/12, -4/3, -1/24, 1/24, -13/48, 1/2, 1/2, -1/12, 1/12, -1/6, -1/12, 1/12, 
  13/48, 1/2, 1/6, 1/4, -1/4, -2/3, -3/4, 3/4, -3/8, 3/8, 3/8, 3/2, -1/2, 
  -3/2, -1/2, -3/4, -17/32, 5/4, -1/8, 1/2, -25/18, -17/9, 1/2, 25/18, 
  -25/18, -17/9, 1/2, 25/18, -37/32, 785/16, 5/32, -247/16, -3/2, -3/2, 
  223/8, -115/8, -4/27, -4/3, -13/27, 37/32, -25/9, -2477/72, -5/32, 
  9467/288, -11/4, 15/4, 8, -6, -2055/256, -3/2, 73/18, 1/2, 11/32, 1469/64, 
  3/2, -5065/128, -1259/64, 41/32, -565/128, -2023/1152, -1/2, 9/16, -9/16, 
  -9/16, -1/2, -5/16, 2307/512, 4655/512, -3/2, 497/32, -653/64, -5/2, 
  -1523/32, -4261/256, -123/64, -1413/256, -959/128, 1/16, 25/9, -731/576, 
  23/16, 491/144, 5/4, 5/4, 5/4, 5/2, -1/16, 5/2, 1, 3/8, 7/8, 5/2, -3/8, 
  1/16, -7/8, -1/16, 9/4, -1/2, 21/8, 7/2, -57/8, -1, -9/8, 9/8, 7/2, -9/8, 
  -9/8, 7/2, 9/4, -1/4, 9/8, -9/8, -19/4, 9/8, 33/8, 3, -19/4, -21/4, -5/2, 
  -5/2, 7/8, 5/2, -105/8, 2293/256, -173/64, -1103/64, 205/64, 285/128, 
  3179/576, 2485/288, -267/32, -135/16, -1479/128, 8465/1152, -1891/64, 
  -1371/64, -901/576, 2, -7/8, 7/4, -497/32, -1/2, -3/4, 1/2, -763/512, 
  -381/512, 395/512, -11377/256, 123/64, -169/256, -239/16, 201/64, -257/48, 
  -257/48, 257/48, -13/16, -19/48, 67/48, 1/3, 427/288, -1/4, 17/24, 17/16, 
  7/48, -7/48, 1/6, 13/24, -3/8, 1/2, -5/3, -25/4, 25/4, 55/12, 1, 223/144, 
  -43/48, 265/24, -25/72, -775/72, -1/2, -223/16, 73/24, 337/288, 457/288, 
  -571/288, -4399/288, 8/3, -14041/576, -1/8, 6229/576, -485/144, 13/16, 
  -1/12, -149/288, -35/48, 37/24, -3/16, 59/48, 7/8, -41/48, 97/48, -3/16, 
  1/24, 5/16, -1/24, -13/6, -71/48, -35/48, -35/48, -1/8, -11/48, 1/2, 11/48, 
  -55/24, 5/16, -11/48, 11/48, -157/48, -1/6, 1/6, 5/48, -1/2, -3/8, -3/16, 
  -1/12, 3/16, -7/8, 11/8, 7/8, 1/4, -1/4, 1/16, -5/9, -25/9, 3, 59/18, 
  13/18, 73/36, 1, -47/48, -469/144, 445/144, 389/48, -45/16, -15/16, 
  -113/72, 2, 193/72, -139/48, -17/18, -7/8, 847/72, 11/3, -5/16, -9/8, 
  -1/16, 9/8, 271/18, -3/2, -11/16, -2, -39/16, -7/4, -15/2, 3, 7/4, 5/2, -3, 
  27/4, 63/8, -5/2, -39/8, -1/8, -13/4, -9/2, 7, -59/8, -7, 47/8, -3/16, 
  21/4, -47/16, -21/8, 131/96, -77/96, -389/64, -17/8, -1/4, 15/8, 3/8, 21/8, 
  17/8, -31/24, 47/48, 243/32, 9/4, 19/16, -15/8, -259/48, -9/4, 23/8, 7/2, 
  2, -3/8, 9/4, -17/8, -2, 15/8, 77/24, 17/2, -5/2, 5, 5/4, -165/16, -5/2, 
  165/16, 5/2, 5/4, -185/16, -5/2, 185/16, -17/4, -7/4, 15/4, 5/4, -23/8, 
  29/4, -27/4, -89/8, 25/4, 12, -5/2, 5/4, -11/4, -31/4, 3/4, -25/4, 5/2, 
  11/2, -5/8, 37/8, -9/2, 11/8, 27/4, 43/4, -15/2, 5/4, -5/2, 1, 5/4, 9/4, 
  1/4, -5/2, -65/32, -69/16, -2, 57/16, 23/4, 29/16, 49/16, -11/4, -145/16, 
  -49/16, -109/16, -69/8, 109/16, 247/16, 59/8, 109/16, 89/16, -9/4, -9, 
  -69/16, -3, 3, 3, 4, 5/2, -1/2, -1/2, -3/2, -1/2, -2, -1/2, 10, -10, -10, 
  -6, -5/512, 3/2, -17/2, 1/2, -3/2, -1/2, -261/512, 709/512, -709/512, 6, 
  709/512, 15/8, -3, -3, 1/2, -1/2, -1/2, -33/16, 689/96, 113/8, 11/32, 
  -3105/64, -219/32, 27/32, -2193/128, -43/32, 9035/192, -259/18, 13/8, 
  -105/8, 763/18, 309/8, 29/4, 745/144, 1/2, 259/18, -5/4, -149/4, -449/72, 
  -3/8, 27/4, -81/8, 27/8, -51/4, -3/8, 37/4, 21/4, -51/16, 89/16, 17/8, 
  -21/16, -9/8, -437/16, 3/8, 139/8, -3/8, 27/4, -9, 9/4, -219/16, 9/8, 
  177/16, 99/16, -99/16, 137/16, 37/8, -21/16, -17/4, -3/16, 47/8, 3/16, 
  -13/8, -29/4, 21/16, 17/4, 99/16, 11/4, -3/8, 25/8, -21/16, 2, 3, 5/8, -2, 
  -5/8, -11/4, -7239/512, 8199/256, 7239/512, -2413/256, -21717/512, 
  2413/256, 7239/256, -7239/512, 2413/128, 689/96, -3623/256, -2413/128, 
  -2413/256, 2925/256, -7239/512, 2493/128, -5319/512, 497/96, 131/8, 
  -2493/128, -2, -1/2, 1/2, -9/2, -2/9, 2/9, 9/2, 5/2, 2/27, 3963/512, 2/3, 
  -13/18, 13/18, 13/54, 3/2, 2/27, 3/2, 2/3, 13/54, 7/32, -3589/256, 
  -639/128, -11/64, 119/32, -73/32, -203/512, 1993/512, 155/64, -1751/128, 
  36047/2304, 31237/2304, -4595/512, 7075/2304, 3/64, -2603/512, 617/512, 
  2591/512, -617/512, -1641/256, 3/64, -5/4, -3/128, 1641/256, 5/4, -11/64, 
  -1029/128, -8627/512, 373/128, 1981/512, 67/64, -15/32, -1689/512, -149/64, 
  -959/128, -147/64, -637/64, -11/32, 30761/2304, 24283/2304, -283/32, 
  41239/2304, 43/32, -8981/256, 5075/2304, -35029/2304, -279/32, 35/8, 
  1825/128, 595/128, 31/16, -9, -135/16, 11/4, 49/32, 177/32, -41/2, 985/256, 
  3637/512, -53/16, -8249/512, -1513/128, 19/16, -13999/512, 251/36, 
  31187/1536, -3585/512, -14251/768, 37213/4608, 91073/4608, -6941/1536, 
  -12109/2304, -29/8, 2867/128, -1233/128, -23/32, 1151/128, -865/128, 
  131/32, 4757/256, -5887/576, -469/32, 973/64, -2947/288, 1055/256, -13/512, 
  3/8, -9657/512, 365/256, 23/16, -8591/512, 23/8, 13193/4608, -4417/512, 
  -27253/1152, -1261/512, 33149/4608, -29659/4608, -3613/256, -125/128, 
  1011/512, 3/8, 13/8, 141/256, -5/8, -2477/128, 11/4, 177/256, -4667/512, 
  -7643/512, -2733/512, 179/64, 8839/2304, -2645/4608, 29/8, 2603/512, -9/4, 
  -1285/512, -2495/512, -3/64, 617/512, 3/64, 1/4, -1/4, 1/4, 25/8, 1/8, 
  -1101/256, -1787/512, 1/4, -1/4, 1/4, 25/8, 1/8, -1101/256, -1787/512, 
  1653/256, 111/32, 83/64, -191/64, -67/32, -1653/256, -77/64, -1/4, -3/64, 
  13/64, -1/4, 225/256, 313/256, 149/64, -3/64, 1, 9/64, 63/64, 5/16, 115/64, 
  -497/32, -1/2, -27/64, -3/4, 45/64, 1/2, 1/2, -1/2, 1, 15/2, 243/32, -3/2, 
  13597/512, 1, 12017/512, -1, -6035/512, -1253/512, 7/4, -269/512, 1233/512, 
  1043/512, 573/128, -1277/1024, -2921/1024, 1595/512, -9903/512, -341/1024, 
  -4733/1024, -2497/512, -245/512, -1253/512, 15/4, 593/512, 4423/512, 
  -2685/1024, -361/512, 1595/512, 1253/512, -2133/1024, -593/512, 2053/1024, 
  -1707/1024, -1/32, 115/32, -65/24, -9275/1152, 12467/1152, 587/144, 
  541/512, -47/32, -191/192, 301/96, -5561/512, -21/16, 1099/144, -47/16, 
  437/64, 185/48, -163/64, 845/48, -61/144, -2155/576, -129/16, -485/144, 
  9/2, 3019/576, 100/9, 13/72, -101/48, 751/288, -2/3, 193/96, -23/288, 
  -17/12, -75/32, 359/288, 23015/1152, 1127/96, -3/8, -27271/1152, -149/36, 
  97477/4608, -7/32, -919/288, -2/3, 7/2, -120037/4608, 3439/288, -9/8, 
  79/48, -5629/384, -7/144, -67/48, 15/8, -55/32, 13867/576, 101221/4608, 
  15/32, -215/288, -19/24, 59/32, -108517/4608, 3395/288, 3/16, 17431/1152, 
  -20503/1152, -403/144, -6437/384, -137/144, 17/4, 118187/13824, 
  102949/4608, -47/8, 781/48, 13/8, 61/96, -104485/4608, -97/16, 27/16, 
  -61/96, -15751/1152, 5/4, -34801/1152, 13/8, -169/64, -2, 19/192, -1/2, 
  -5/8, 369/64, -523/32, 539/32, 1/2, 451/192, 2441/2304, -371/32, 1/4, -1/4, 
  379/32, -5753/2304, 1195/96, 4759/256, -983/96, -4567/256, -1/24, -3/8, 
  1/8, 1/12, -5/4, 1/24, -3/4, 19/24, -2, -56387/4608, -1301/192, 4919/256, 
  -85/96, -5333/512, -49/24, -3/8, -4, 1/12, -7/4, -7/12, -3/4, 19/24, -2, 
  -10643/4608, -1301/192, 799/256, -85/96, 3419/512, 9/4, -25/8, -9/4, 25/8, 
  -23/8, -9/4, 25/8, -107/16, 161579/11520, -36911/11520, -1/4, -187/72, 
  175/64, -7/8, -161579/11520, 22151/11520, 43/72, -131/48, -135/32, -45/32, 
  7/8, 421/192, 413/64, 45/32, -111/64, -164699/11520, 7/16, 42791/11520, 
  3/2, -9/4, -135/32, 25/8, 9/4, 413/64, -25/8, -23/64, 9/4, 223/32, -25/8, 
  133/64, -11/4, 445/144, 33/64, -5/16, -163/64, 1487/144, -553/144, 515/576, 
  -103/12, -45/16, -45/64, 5/18, -1/2, -181/144, -17/16, 9/64, -301/144, 
  -227/64, -4, -1645/144, 131/64, 2, 77/16, 1, 83/64, -109/18, -29/48, 13/16, 
  -23/24, 31/48, 47/16, -1975/432, -27/8, -113/16, 2087/864, 139/24, 109/36, 
  -1085/144, -205/36, -229/24, 67/144, -25/24, -65/48, 35/6, 23/12, -91/16, 
  -35/6, 71/12, 13/6, -175/36, -581/48, 125/72, 733/144, -5/2, 6, -19/4, 
  -21/8, 1739/64, 677/96, 4061/96, 9/8, -3/8, 157/16, -43/16, -15/16, 9/2, 
  -5/4, 27/8, -191/16, -209/24, -15/16, -4205/96, 37/16, 1/2, -1/4, -11/8, 
  -3/4, 5/4, -1, -27/8, -23/16, 31/16, -1/8, -39/8, 39/8, 165/16, 1/8, 
  -85/16, 31/16, 59/8, 13/8, -39/8, 21/8, 39/8, -5/4, 185/16, -17/8, 5/8, 
  -21/4, -3/8, 3/8, 13/4, -5/8, 3/8, -59/8, 3/4, 35/4, 3/4, 19/4, -7/2, 1/8, 
  -17/8, 1/8, 51/8, 7/2, -11, -27/64, 239/64, 63/64, 2, 29/32, 229/32, 
  369/128, -177/16, -1117/128, -1, 3/4, 4, 365/128, -71/16, -601/128, 13/2, 
  1/12, -15/4, -1/8, 15/4, 1/24, 2427/320, 10063/2880, -19183/2880, 
  -49949/8640, -2, 1/2, 9/4, 1/8, 23/8, -213/16, -3077/512, 9/2, 69/16, 
  5381/512, 11, 903/32, 207/16, -2891/512, -477/32, 53/32, -47/32, -25/16, 
  -1/32, 5/4, -3/2, 11/8, -5/4, -18703/1536, -11/8, 6917/512, 7/4, 12065/512, 
  -1/4, 12471/512, 14995/3072, -35635/1024, -17/8, -11/16, -7407/512, -3/2, 
  5069/3072, 19809/512, 8623/512, -4367/1024, -6215/512, 2095/1024, 
  61249/1024, 15763/3072, -35379/1024, 7175/512, 3/16, -7791/512, -1, 
  -1797/1024, 11981/3072, 20065/512, 32845/1536, 497/1024, 2, 559/1024, 
  47027/1024, 20371/3072, -37171/1024, 5959/512, 3/16, -6575/512, -1, 
  23955/1024, 7373/3072, 4023/128, 29197/1536, 8187/1024, -1047/320, 
  1527/320, 1107/320, -1/2, 23/12, 1/4, -21/8, 1/4, 17/24, 11/16, 10183/2880, 
  55/27, 33/16, 3/4, -7/8, -3/2, 2, -11/4, 3/4, 7/8, -7/8, -1, 3/4, 1/2, 
  11/4, -25/8, 1/8, -1, 13/2, 9/2, 1019/256, 11/8, 47/16, 2, -281/16, 
  -2917/256, -103/8, -3/8, -11/8, 85/4, 1/4, -7/4, 3/2, 37/32, 1/32, 
  -3515/512, 21/8, 3515/512, -21/8, -39/32, -25/8, -971/512, 39/32, 39/32, 
  -39/32, -39/32, 2, -5311/1024, -49843/1024, 10781/3072, 37939/1024, 
  -1861/512, 19/16, 6257/512, 47/32, -9/16, 13/16, -119/32, 19/16, -23/32, 
  1/2, 1/8, 365/32, 17/16, 1/4, -157/32, -7/8, -301/512, -25/8, -93/64, 
  -1363/512, 237/512, -237/512, -195/256, 627/512, 25/16, -15/16, 25/16, 
  -3/8, 1/8, -1/8, -221/32, -13/8, 769/96, 47/16, 237/512, 35/8, 1331/512, 
  3/2, 5/8, -33/16, 11/2, 237/512, -5/8, -2265/512, -25/16, 3/8, -105/32, 
  -233/32, 169/32, 265/32, 149/32, -265/32, -1/2, -5671/1152, -1261/48, 
  -107/32, 1369/48, 3891/128, -2, -105/32, 265/32, 189/32, -265/32, -1/2, 
  3869/1152, -1069/48, -107/32, 1429/48, 4403/128, 13/8, 14669/720, 25/48, 
  -707/64, -11921/2880, -11/12, -47/12, -19163/1280, -603/64, 23/4, 
  -8671/3840, -11/6, 7/8, 29/36, -225/64, -629/216, 19163/1280, 535/64, 
  -89003/11520, 9559/1440, 17/16, -2, -1215/1024, -49843/1024, -7651/3072, 
  37939/1024, 21379/2880, 23899/2880, 6983/512, -26059/2880, 28759/2880, 
  -27319/2880, -28759/2880, -1/2, -1/4, -3/2, 1/2, 837/128, 3/8, -17897/768, 
  1001/768, -99/32, 3/2, -263/192, 1/2, 5/8, 65/128, -1/8, -1/8, -1/2, 
  151/24, -3/8, -5/8, 529/48, 5/8, -91/48, 13/24, 1, 485/48, -1/8, -35/8, 
  -49/4, 3/8, -5/4, 1/6, -109/24, 51/16, 149/8, 9/8, -1/2, -159/32, -3/4, 
  91/48, 13/6, -125/24, 7/8, -47/8, 655/144, -19/48, -467/24, -73/48, -65/24, 
  3/4, -5/16, 119/48, -3/4, -1/4, -1, 1/4, 1, -2, 15/16, -7/2, 9/16, -3/4, 
  7/8, 35/16, 9/8, -9/16, 9/16, 147/16, -1, -6223/768, 5/16, 6923/384, 11/16, 
  -2797/256, 75/64, -6427/768, -3/16, 3437/256, 25/16, -7/4, 60911/13824, 
  62213/2304, -28315/1536, -5/2, 7/4, -92125/4608, -2893/256, -265/12, -2, 
  1/4, -2, 21/16, 2, 79/16, -1/4, -41/16, -35/64, -11/8, 285/64, -23/16, 
  -73/64, 5/16, 131/64, 29/64, 45/64, 115/64, -13/432, 101/192, 1/2, -13/192, 
  -1/2, 11/1728, -48427/3456, 7/48, 189/128, 67/8, -11/8, 659/128, -67/48, 
  -1501/1728, -10759/3456, -27/4, -11/8, 3061/256, 5/4, 4573/13824, 
  -3203/864, 17/32, -12377/6912, 87355/4608, -169435/13824, 353/864, 
  114443/13824, -177/32, -173447/13824, -163/32, -21475/4608, -80479/13824, 
  -15/64, 21/128, 1369/256, -9/16, -3/16, 15/64, -853/64, 11/8, -11/4, 
  415/128, 11/8, -39/64, 389/256, -13/16, 1773/128, 1417/256, 41/256, -35/8, 
  87/16, -835/256, -35/8, -579/128, 1659/128, 375/32, -1015/256, 677/256, 
  -2557/256, -17/2, -21/256, 315/256, -1543/128, 13/2, -117/256, -11/64, 
  -85/16, 1729/128, -21/8, 451/128, -14569/512, 39/16, -37/8, 1389/256, 13/8, 
  -825/128, 381/512, 1943/256, 18071/4608, 225/256, 139/32, 1/4, -135/32, 
  1385/256, -30899/2304, 3/16, -675/128, 67187/4608, 11/8, 847/512, -13/64, 
  -18139/1152, 1177/256, -18163/2304, 27/64, 13/8, 169/64, -169/64, -2, 
  233/64, 1/2, -3591/512, -169/64, 179/144, 5227/192, 329/64, 2409/512, 
  -5101/192, -1/2, -307/1152, -295/12, -4715/128, 2201/96, 4057/128, -2, 1, 
  3/2, 3/64, -15/16, -441/64, -1629/256, -15/64, -3/128, -5/4, -3/64, -75/64, 
  441/64, 15/64, 135/64, -3, -1957/512, 15/4, 25/8, 1169/512, 3/8, -499/128, 
  9149/512, -2173/1024, -1819/512, 17/4, 1/2, 43/512, -39/64, 1387/1024, 
  -115/64, 959/128, 1/2, 75/32, 9/32, -45/64, -1093/144, 33887/2304, -3/8, 
  -11/4, 22457/1728, -119/216, 7/2, 85/36, -1/8, 11/4, -18167/4608, -3/2, 
  83/144, -143/36, -605/72, -9/8, -1/8, 3097/432, -13/8, 1351/288, -2111/576, 
  -31/16, -10/9, -1481/216, 47/8, -251/27, 3325/864, 5747/864, 2125/864, 
  -4159/864, -9/4, -19/8, 4741/864, 5/4, 1, 7/16, 2, -5/16, -127/48, -3/8, 
  -11/16, 9/8, -9/8, -75/64, 27/8, 5/48, -3/4, 9/8, -25/16, -3/2, -4979/4608, 
  -1227/64, 3/8, -4147/2304, 11/3, -9/4, 505/48, 3/2, 1475/96, 1/4, 
  104839/4608, 21/8, -1/16, -923/96, 7/16, 27/32, 19/4, -43/32, -3, 2, 
  -515/96, 3/4, -47/16, 55/8, 57/16, 3/64, -31/8, -251/64, 31/16, -121/96, 
  -57/16, 115/24, -3/2, -177959/34560, -1601/144, -131089/34560, 7751/1728, 
  23/48, 81/16, -1/2, -481/576, -3/2, -2/3, -65/48, -7/4, 19/12, -3/8, 3/4, 
  -1/4, -3/2, 9/4, -27/4, -81/32, -59/48, 29/32, -23/8, -1/2, -37/12, 1/2, 
  83/48, -655/144, -719/48, -11/4, -3/4, -245/24, -29/12, 1043/432, 5/3, 
  679/144, -3/16, -403/72, 27/16, -65/8, 153/16, -461/48, -47/16, 135/16, 
  -403/16, 3, 3965/192, -47/16, -37/16, 361/48, 227/192, 35/12, -505/32, 
  17/24, -1/8, 3/4, 1, 1/16, -5/16, 8, -89/16, -3/8, -67/16, 21/8, 23/8, 5/8, 
  -401/64, 27/16, 113/64, -1/4, -1/2, 27/16, -43/4, -3/4, 97/64, 23/16, 
  -273/64, 565/64, 1/4, -51/16, 9/4, -61/64, -5/16, 71/32, 51/64, 11/64, 
  -49/16, -3/16, 9/16, 13/2, -9/16, -45/16, 1/16, 241/64, -13/8, -5/8, 
  -625/64, -1/8, 3/4, 63/16, 39/16, 1, 49/16, 83/64, 7/16, -27/8, 233/64, 
  17/8, -809/64, -229/64, 405/64, 15/2, -71/64, -25/64, -81/64, 213/64, 
  -67/64, 3/4, -5/16, 109/128, -1/2, 59/16, 1/8, 67/16, -5/4, -23/8, -29/8, 
  175/128, -53/64, -47/64, -65/8, -417/64, 45/8, -5/2, 141/16, -11/8, 29/16, 
  17/32, 27/64, 9/16, 185/64, -5/16, -11/4, -85/64, -1, 11/64, 7/8, 3, 
  2831/768, -1, -53/16, -389/256, -1/4, 5/16, -2/3, -171/64, -17/12, 
  5723/768, -23/24, 17/12, 1/16, -37/24, 49159/27648, -23321/2304, 
  43163/1024, 2391/512, -1, 21289/1536, 1, 2487/256, 37/24, 29239/1536, 4, 
  -2007/256, 2, 7/8, -5/8, -7/8, -11/8, 1237/320, -63/16, -37/32, 39/16, 
  83/64, 35/64, -11/16, -2, -33/32, 1/2, -1, 147/32, 1, -951/160, 5/16, 
  165/64, 6989/1440, 1, 9/8, -1, 47/64, 2, -2, -2, -7/8, -13/2, 5/8, -29/8, 
  11/8, -15/8, 2, -415/32, -207/16, -421/32, 5/8, 285/16, 1/2, -9/4, 1, -1, 
  5/16, 9/4, -15/8, -5/16, -41/16, 41/16, 2, 169/64, -3, -169/64, 1, -7/2, 
  329/64, 1/2, 361/1152, 1135/48, -7/4, -4447/192, -4327/128, -3, -69/64, 
  37/16, 45/16, 1/16, 209/64, -11/8, 115/64, -2, -5/4, -19/16, -305/64, 
  -11/16, -1/2, 1589/512, 2, 4343/4608, -1165/48, -91/32, -197/64, -17/16, 
  4657/192, -5/4, 15/8, 4147/128, 157/32, 34429/4320, 35/16, -38209/4320, 
  -27/16, 69/64, 39833/8640, -3/16, -72953/8640, 1885/192, -9101/2880, 
  77633/8640, -211/192, -19/4, -63/8, -8813/128, -2293/64, 829/64, -2467/64, 
  20189/576, -8381/64, 5/3, 1139/32, 102055/576, -16763/576, -35/36, 
  -481/192, 367/32, -11/16, -19141/2304, -8/9, 40103/2304, 8/9, 817/144, 
  -97/36, -32/9, 425/48, -1/18, -1831/36, -2077/36, 227/72, 341/36, 346/9, 
  479/144, 49/24, 275/72, -41/48, -359/72, 35/16, 105/8, -187/16, -15/8, 
  -35/8, 35/9, 15/8, -147/8, 47/8, 147/8, -19, 49/9, 37/9, 91/9, -23/4, 
  2731/20, 113/5, -2731/20, -6436/45, -189/8, -167/20, 16061/80, -831/80, 
  3477/20, 357/40, -3477/20, -10931/60, -1501/72, 167/40, -15647/80, 249/16, 
  -689/96, -113/8, -7297/256, 7297/256, -689/96, -113/8, 34757/512, 
  -7297/512, -689/96, 65/512, 34757/512, -469/288, -2413/256, -995/384, 
  443/8, 151/128, -625/864, 8635/512, 11/8, -1119/512, -19069/1152, 1299/32, 
  -1407/128, 233/144, 479/128, -149/384, 7/8, 5093/384, 3431/384, 
  -17663/1152, -172349/3456, 143599/3456, -52/9, -35/16, -5117/768, 3, 
  5117/768, -35/16, -25/48, 35/8, -4121/288, -617/144, -85483/4608, 5477/384, 
  491/256, -23509/1536, 791/128, -80111/2304, -563/144, -1129/96, 
  -121507/2304, 3787/72, 43/32, -169/64, -1877/288, 1019/32, -595/64, 
  -377/64, 6431/384, -4, 117, 457/8, -151/16, -475/8, 477/4, 5/2, -179/4, 
  -1/2, 179/4, 133/4, 215/4, 59/4, -263/8, 217/8, -1247/16, -217/8, 1805/128, 
  13/64, 1917/256, 7955/256, 27, -14899/256, -3455/256, 25535/512, 
  -53047/1536, 763733/4608, -119521/4608, -2413/256, -1, -11563/576, 
  2413/512, 13139/3072, -2689/384, -43793/9216, 32401/1024, -2629/256, 
  -143/64, 27575/1024, -2629/256, 65/192, -143/64, -449/192, -17/288, -1/24, 
  2129/128, 2077/864, -49/576, 415/16, 1051/3456, -43/1152, 13/192, 67/1152, 
  78119/1536, -353/16, -303245/1536, -5203/1536, -30953/1536, -9845/128, 
  -18167/768, -3437/192, -825/128, -15509/1152, 73795/1536, 35603/768, 
  -13057/192, 121493/1536, -45611/1536, 33/8, 3061/64, -333/1024, 2117/128, 
  25145/1024, -167597/2304, 117265/1536, 367735/6144, 37553/512, 
  -771307/9216, -167597/2304, 117265/1536, 375895/6144, 37553/512, 
  -757627/9216, 161/288, 1/15, -14591/2160, -203/288, -911/128, -208433/4608, 
  -194999/4608, -9457/3840, -169631/2560, 441125/6912, -145/144, 
  -877883/11520, 18036457/57600, 180715/1152, -271685/1728, -93007/6912, 
  11/18, 715/48, 257/48, -13/48, 1708073/19200, 878843/11520, -1712873/19200, 
  -18488857/57600, 1/6, -673/24, 39/4, 2137/144, 14879/576, 1805/288, 
  14879/576, 14879/576, 871/96, -1300969/57600, 1286569/57600, -13/48, 
  -1224169/86400, -6149/1152, -360647/5760, 17557/1152, 19000457/115200, 
  -1177369/86400, 1881119/115200, 154189/11520, -738773/38400, 
  -5853619/38400, 1468969/115200, -1440169/115200, -13/24, 503/108, -65/16, 
  -725/144, -1927/432, -439/288, -3097/864, -97/32, 91/48, 2813/864, 
  -577/288, -10399/864, -7/144, 79/144, 887/864, 29021/768, -44845/1728, 
  -475999/4608, -434611/13824, 887929/13824, -13771/432, -893/108, -7385/216, 
  -3874153/138240, 18085/3072, -32873/4320, -2085/256, -6415/1536, 6095/1536, 
  2085/256, -900503/69120, -6415/1536, 2085/256, -39061/8640, -202895/6912, 
  3067/432, 391225/3456, -18209/1728, 274/27, -51991/1536, 2459/432, 
  456317/3456, -149081/1728, -274687/13824, 105827/1728, 56233/864, 
  -13997/1728, -22907/864, -487345/13824, 7741/576, 56233/864, -879/64, 
  -22907/864, -1362929/13824, 5/2, 349/36, -14017/432, -7427/720, -6437/864, 
  349/72, -1393/96, -9587/1440, 1/27, -13621/1728, 13419967/172800, 
  -248167/13824, -2301569/23040, -55813/1536, 39857939/345600, -5/8, 9/8, 
  5/8, 961/32, 5303/96, -751/48, -35/8, 145/32, 49/12, -1229/96, -165/16, -5, 
  -205/16, 5, -2491/32, -595/64, 9, -31/4, -425/16, -239/64, 929/16, 
  -2009/512, 1615/16, 46169/512, 3397/512, 1527/16, 703/16, 117/16, 
  -3707/512, 5741/48, 3545/512, 207/8, -251863/7680, -99727/1536, 579/8, 
  -1359/16, -2144/45, -8399/1152, -4943/1152, 3, -8399/1152, 213/16, 
  -17443/256, -2875/128, 341/32, 3519/512, 3205/768, 261/32, 1775/128, 
  -427/128, 4739/96, -933/512, 7985/144, 9325/768, -109049/4608, 51637/2304, 
  -511/16, -45625/2304, 21461/1536, 29/8, 743/1536, 65/32, -387/512, 
  79049/1536, 37/48, 6245/512, 47009/4608, 1111/384, 34647/640, -1465/32, 
  -17/4, -30227/480, 4/3, 10665/256, -106201/1728, 43169/2304, 113521/6912, 
  -5467/128, 685447/3456, 24743/480, 125783/3456, -527227/3456, -9/4, 
  35755/576, 224345/6912, -176131/6144, 18905/1152, 1/18, 20417/3072, 
  6527/1152, 9/4, 44291/27648, -137/36, -25/32, -125611/4608, -577/48, 
  -1393/96, -6413/144, -269/16, -923/96, -15145/1536, 10913/576, 991/144, 
  7861/384, 475/144, 3319/144, -8101/384, -575/72, 2195/512, 147/64, -5/2, 
  -249509/4608, -24361/768, 118409/768, 11/96, -1/8, -493/8, 148901/4608, 
  12277/768, -91389/512, 1463/24, 1913/96, -184079/5760, 1825/48, -11/4, 
  -66229/5760, 31/8, 273/32, -2683/288, -1567/96, -67/16, 184079/5760, 
  -1835/48, 150469/5760, 2483/288, 5/24, 45/16, -23/24, -87/8, -275/144, 
  345/16, -593/72, 737/216, 54247/4608, 119/24, -521/144, 353/72, 5/54, 
  -109/9, -184805/9216, -4133/64, 30467/2304, 14641/192, 20433/1024, 
  17297/768, 3/8, -28243/1536, -1, 247933/9216, -12911/256, -45721/1024, 
  23123/1536, 3873/128, 17/4, -131/8, 19/4, -47/8, 411/20, 13/8, 45/8, 
  1361/120, -16187/80, -15/16, 199/16, 61/8, -1/4, -4123/144, 3/4, -255/64, 
  -23/144, -25/16, 23/144, 355/64, 1/4, -59/432, 5387/512, 205/192, -335/576, 
  335/576, -659/1728, -53275/4608, 16655/2304, 4283/144, -33191/2304, 
  -16541/512, 60341/1536, -7295/1536, 39019/1152, -39019/1152, -3/4, -87/64, 
  -2165/432, -23267/1440, -215/192, -10973/1728, 11911/4608, 82117/4608, 
  -34519/4608, 44173/4608, -4289/1728, 3801/512, 68201/4608, -97955/6912, 
  75047/1728, 39083/6912, 883/72, -1583/192, 6, -809927/4608, 254735/2304, 
  -841769/9216, 829/128, -1/2, 5231471/13824, 291/128, 3131/18, -214655/2304, 
  -1811029/27648, -5299385/13824, 2248817/13824, -3401/768, 4594981/345600, 
  -284453/6912, 37/4, 4363013/46080, -143/24, -12277/576, 35557/1152, 
  -158819/11520, 1175/6912, -945541/345600, -9513463/115200, -277387/3072, 
  -568813/69120, 35964839/345600, 21487/512, 4671/256, -317/48, 75043/2304, 
  60805/2304, -20971/4608, -232637/4608, 169/64, -157933/3072, -953/72, 
  389/192, -6415/1536, -7251/1024, -30599/1152, 5037/512, -6953/256, 
  136645/1536, -9023/384, 49577/1536, -194129/4608, 2813/96, -89581/4608, 
  92915/4608, -111223/4608, 14785/4608, 4765/256, -151/6, -6, -363/64, 81/8, 
  -3587/256, 7797/128, 559/32, 1967/256, -861/256, -1111/384, 45/4, -4/3, 
  -3813/256, -74525/2304, 72887/6912, -16709/1280, 6153/160, -67213/2304, 
  -137/64, -4647/512, -83/256, -1881/128, -14993/512, 4427/512, -1755/256, 
  -3549/128, -349/256, 2421/1024, -4023/1024, -903/512, -2, -5/4, 
  -241271/9216, -3317/96, 7451/1024, -1457/256, -25/16, 195187/4608, 323/256, 
  276623/9216, 25601/768, 142321/4608, -273707/4608, -458563/9216, -361/384, 
  -1035/512, 979/1152, 1, 15269/2304, -1/12, 3237/256, -139/48, 703/11520, 
  64369/13824, 33163/512, 124315/13824, -5099/576, -2281/1152, 56915/13824, 
  -20831/512, -10195/384, 1/8, 23691/512, 66425/512, 3571/512, -3027/256, 
  -803/1024, -418529/9216, 4509/512, 25/64, 22837/1024, -660755/9216, 
  -170569/2304, 32957/1536, 533/64, -131/48, -15/16, -300539/4608, 
  71369/1536, 309679/6144, 289/32, -2, 284077/3072, -11/2, 33497/9216, 
  563/24, -38801/1152, -34879/3072, -35125/1024, 47/12, 41711/2560, 659/64, 
  -23/4, 30527/7680, 11/6, -1565/512, 24805/9216, 324877/23040, 15119/13824, 
  -41711/2560, -5627/1024, 27383/4608, -76391/27648, -4917/1024, 271687/9216, 
  109051/1728, 5/4, 72547/3072, 581/48, -17/24, -112165/2304, 11/8, -1063/36, 
  -23453/384, -146725/4608, -217/288, 935/144, -2021/1536, -7/3, 
  -131279/9600, 7439/256, 13/4, 309209/11520, -1/24, -136619/11520, 
  -79585/1536, -250477/11520, 317087/13824, -37/48, -664741/3200, -23/8, 
  7169719/57600, 2359/288, 155/48, -67801/2304, 10/3, -13141/288, 
  -123671/13824, -1655/192, 114037/4608, 44231/1536, 669185/13824, 
  -107893/4608, 31547/1152, -2701/288, -6527/576, -32239/1152, 317/288, 
  -6521/1536, 3/8, 4, 14713/1536, 7/8, 449/64, 3/4, -17785/1536, 3/2, 
  1058603/69120, -24485/768, -3185743/138240, 948245/9216, 126565/1536, 
  583/768, 155891/1728, 15/16, 821/1536, -18137/1728, -4485/512, -3133/96, 2, 
  98791/1728, 45/8, -214087/1536, 905/18, 492287/13824, -1165/108, -121/2, 
  -47/12, -60209/3840, -2437/192, 23/4, -17197/1280, -11/6, 163979/11520, 
  1583/144, 7249/11520, -2441/216, 55889/3840, 7165/576, 106597/11520, 
  52771/2160, 397/288, -25/48, -681/160, 253/32, -23/32, 24911/960, 811/96, 
  39/16, -5077/576, -30511/1440, -5317/216, -3415/64, -28313/1152, 
  274877/3840, 233293/8640, 7217/1728, -85/12, 262/15, 39/8, -547/32, 
  -983/160, 401/96, 55/8, -959/144, 313/18, 629/216, -21203/640, 197/32, 
  157/2560, -76049/2304, -13253/256, 1005/32, -769/24, -815/128, -1865/512, 
  133/12, -6403/512, 2, 1231/128, -529/192, -1077/64, 450343/3072, 
  -55817/512, -521869/6144, -292007/3072, 618055/9216, 31325/512, 7403/1024, 
  -2, -877/1024, 97631/3072, 24627/1024, -393/4, -105/4, 73057/3072, 219/8, 
  -200363/9216, -307/24, 149615/1024, -2135/128, -1233/128, -29/3, 
  84937/1280, -6, -133/8, -15577/1280, 127/24, 3719/720, 42577/960, 
  470113/46080, -108379/4320, -761873/11520, 3659/64, -31417/768, 
  -13043/1440, 31/2, 46/3, -180353/23040, -145/16, 161/32, -116527/23040, 
  -515/96, -113099/2880, -2761/180, 118799/23040, 15551/1080, -3909487/46080, 
  272351/13824, 460043/30720, 5496857/34560, -853273/13824, 118309/1152, 
  -12799/384, -62261/768, 137/32, -12481/128, 4057/96, 27743/576, 33635/1728, 
  -76025/1728, -114983/1152, 27817/864, -69689/4608, 741259/13824, 
  -1789819/43200, -45203/576, -231805/2304, 39875/576, 3917/48, -13/36, 
  931/72, 53/16, 883/144, 255563/17280, 1451/64, -5402639/69120, 33223/512, 
  16843/768, -58013/2304, -44443/432, 325183/1152, -279601/1728, 335/9, 
  61753/1536, -689/24, -143929/1536, 609643/3072, 11879/180, -4085/216, 
  -807/16, -56441/864, 8995723/345600, -71791/3840, 17243/4608, 
  133698067/345600, 100805/4608, 51337/432, -418819/1152, 3617767/13824, 
  -624067/6912, -5/72, -2459467/138240, 215/9, -41789/5760, 7878827/138240, 
  -1907/64, -421367/6912, -65747/2304, 636869/5760, 47689/432, -4427/32, 
  45/16, 2101/32, -23395/1152, -373/4, 510449/4608, -19025/384, -33671/384, 
  -72223/512, 1945499/9216, -281269/4608, 941005/3072, 439907/1536, 
  84725/2304, -1321975/4608, -2369597/11520, -836547/5120, 165407/9216, 
  -769867/3456, 1724393/6912, 529979/4608, -126133/3072, -1129255/3072, 
  -8579/27648, 35867/288, 566743/10800, 401329/5760, -1085719/46080, 
  -45923/1920, 500991/3200, -180384763/345600, -450125/6912, 1246381/3072, 
  5590547/34560, -69026701/691200}}
