{{1, 1, 1, -1, -1, -1, -1, -1, -1, 1/2, 1, -1/2, -2, 1, 1, -2, 1, -3/2, 1/2, 
  -2, -1/2, 1, 1, 1/2, -1, -1/2, 1/2, -1/2, 1, 1/2, -2, -1, 1, 2, 3, -1, -1, 
  -3, 1/2, 1/2, 1, -1/2, -1/2, 1/2, -1/2, -1/2, 1/2, -1/2, -1, -1, 3, -1, 1, 
  1/2, -1/2, -1, 1/2, 1, 1/2, -2, 1/2, -3/2, 3, 1/2, -1, -1/2, 1, -3/2, -7/2, 
  3/4, -1, 7/4, 1/2, -3/4, -3/2, 1, 1/4, 1/4, 1/2, 11/4, 3/4, 4, -1/2, -7/4, 
  3/4, -2, -5/2, -1/4, -7/4, -3/4, 1/4, 7/4, -1, 3, 1, -4, 1, -1/2, -1/2, -3, 
  5/2, 3/2, 9, -2, -7/2, -1/2, -5, -1, 5/2, -7/2, -3/2, 1/2, 7/2, 1, -1, 1, 
  -3, 1, -3/2, 3, 3/2, -1, 1, -5, -3/2, 5/2, -3/2, 7/2, 1/2, -1/2, 1/2, -1/2, 
  -3/2, 1/4, -1, 1/2, 1, -3/4, 1/2, 3/2, 3/4, -1/2, -5/2, 7/2, -1/2, -7/4, 
  1/4, -3/4, 1/4, 1/2, -1/2, -1, 1, 1, -1, -1, 2, 1, -1, -2, -2, 2, -2, 1, 2, 
  -1/2, 1, -1, 5/8, 5/2, -7/4, -9/4, 7/4, 2, -1, -2, -1, 1, -1, -1, 2, 3, -1, 
  -11/2, -11/2, -1, 11/2, -1, 1, 1, 1, 1, -1, -1, -2, 3, 2, 2, 3, 2, -2, -2, 
  3, -2, 1, 1, -4, -1, 1, 2, -3/8, 3/2, -7/4, -9/4, 7/4, 7/8, -1, -7/8, -1/8, 
  -2, -7/8, 1, -1, -3, -3, 1, 11/2, 11/2, 1, -9/2, -7/2, -7/2, 1, 9/2, 7/2, 
  9/2, -9/2, 2, -4, -11, 11, -11, -10, 11, -2, -2, 4, -2, -3, -3/2, -1/2, -1, 
  -1/2, 1, 1/2, 3/2, 1/2, 1/2, -1/2, 5, 3, -5/2, -4, 3/2, -1, 1, 2, 1, -1, 
  -1, 1, -1/2, 1, -1, -1/3, -1/3, 1/3, 3/2, -9/8, 1, -7/4, -3, 1/2, 1/2, 
  -1/2, 21/8, 7/2, 1/2, -3/2, 1, -5/2, -2, 1/2, -2, -1/2, 3, 1, 3, 5/2, -1, 
  -3, 1/2, -1/2, 1, 3/8, -1, -1, -5/2, 1/2, -1/2, -1/2, -2, -2, 11, 13, 11, 
  13, 1, -1, -7/2, -6, 1, -3/2, 1/2, 3/2, -4, -11, 5/2, 9/2, 11, -1/2, 27/2, 
  27/2, -23/2, -19/2, -15/2, -11, 4, 7, -1/2, 5/2, 27/2, -19/2, -8, -5, 9/2, 
  -1, 11/2, -5/2, -5/2, -7/2, 3/2, 2, 1/4, 1/4, -3, 1/2, -5/2, 2, 1, 2, -1, 
  1/2, 1/2, -3, -5, -12, -7/2, 2, 5/2, 1/2, 5, 4, 7, 5, -11/2, -15/2, -2, 
  -7/2, 5/2, 3/2, 1, -2, -2, 5/2, 2, -4, -2, 2, 3, -1, -3, 2, -1/3, 2, -1/2, 
  -7/6, -1, 2/3, 1/3, 5, -1/3, -5/6, -2, 1/3, 1/6, 2, 2, -1, -2, 2/3, -1/3, 
  1/6, -1/3, 2/3, 11/8, -9/8, 5/8, -3/2, -2, 1/2, 5/4, -3/8, 17/8, 5/2, 3/8, 
  -1, -1/2, 5/2, -1, -5/4, -21/8, -5/4, 1/2, 9/4, 19/8, 5/2, 5/2, -19/8, -1, 
  -7/2, 3/4, -3/4, 3/2, -2, -2, -1, 3, 2, 3/2, 5/2, -21/8, 2, 3/2, -13/4, 
  -13/4, 3/2, -11/2, -25/4, 5, 3, -13/4, -1, -1/2, 1, 9/4, -1/2, -3/4, -15/4, 
  -1/4, -7/2, -17/4, 5/4, 7, 2, 1/4, 15/4, -3, -7/2, 5, 7/2, -1, 7, 5, -7/2, 
  -7/2, 19/4, 3/2, -3/2, -5/4, 1/2, 3/4, 19/4, 1/4, 7/2, 17/4, -17/4, -11/2, 
  13/4, 1/4, 7/4, -1/2, 1/2, -1/2, 2, -3/2, -5/2, -19/4, -1/2, 1/2, 1, -1, 
  9/2, -3, -21/2, 2, -19/2, -1, -1, -2, 1, 5, -4, -1, 6, 23/2, 26, 13/2, 
  -19/2, -17/2, 33/2, 15/2, -1, 5, -7/2, 26, 37/2, -19/2, -1, -5/2, 7, 11, 
  -7, -3, -10, -29/2, 3, 3/2, 1/2, -21/2, -3/2, 1, -5/2, -1, -10, -15, 3, 
  -3/2, 9/2, 9/2, -4, 4, -11, 5, 11, 27/2, 27, -23/2, -19, 15/2, -19, 9/2, 2, 
  4, 1/2, 1/2, 1/2, 1, 1/2, 1/2, -2, 1/4, 5/2, 1/4, -1/2, 2, -1/2, 1/4, 2, 
  -1/2, 3/2, 1/4, -5/4, 3/4, -1/2, 1/4, 1/2, 1/2, -23/4, 1/2, 1/2, 2, -2, -2, 
  1/2, -2, -1, 1/2, 1/2, -1/2, 2, 9, 2, -9, -3, -12, -3/2, -3/2, 3/2, 4, 2, 
  -4, 2, -7, 2, 3, 3, 6, 5, -4, -2, -4, 2, 2, 3, 4, 5, -15/2, -4, -7/2, 5, 
  -4, -9, -7/2, -3, 1, 7/4, 7/2, -3/2, 1/4, 3/2, -15/4, -3/2, -1, -7/4, 9/2, 
  11/4, 1/4, 7/4, 3/2, -7/4, 27, -61/2, -31/2, -31/2, 6, 6, -2, -2, -4, -1, 
  -10, 3, 1, 1, 4, 1, -1, -1, -15/2, -9, 31/4, 3, 1/2, 1, 3, -1/2, 6, -9/2, 
  5/2, -4, 5/2, 1, -3, 1/2, -3, 1, -1, -3, 1/2, -9/2, -1/4, 5/2, 3, -17/8, 5, 
  -9/2, -2, -15, -45/2, 1, 91/4, 3/8, 33/8, 4, -271/4, -43/4, 225/4, -3/8, 
  -1, 4, 3/2, -11/4, 3, 67/8, -9/8, 8, -9/2, -3, -3/4, -7/2, -1/2, -1/4, 
  -3/2, 7/2, -3/8, -12, 9/8, 9/2, 11/4, -27/8, 5/4, -5/4, 1/4, 3/8, -3/2, 
  7/4, 2, 4, -1, -5/2, 23/2, 23, -23, -3/2, 29/8, -3/4, -9, -3, 9/4, 515/8, 
  12, -57, -3/4, 3/4, -13/4, -1, 4, -5/2, 3, 23, -1, -22, -4, -3/4, -2, 
  -241/8, 515/8, 11, -57, 3/4, -7/4, 11/8, -1, -17/4, 57/8, -11/8, -31/8, 
  -1/4, -9/2, 25/8, 1/4, 77/8, -9/8, 71/8, 23/4, -1/2, 57/8, 17/4, 55/8, 
  -59/8, 3/2, -37/4, -59/4, -1, 1, 1, 25/8, -9/8, 11/2, 6, 1, 57/8, -13/4, 
  -1/4, 3/4, 1/2, -37/4, -6, -1, -1, 11/8, -17/8, -11/2, 179/8, 87/4, -1, 
  21/8, -63/4, -25/4, 6, -8, 2, -10, 5, 7/2, 2, -23/2, 2, -25/4, -1/4, -3, 
  45/4, -3, -3, 5/2, -1/2, -13/8, 6, 3/2, -13/8, -5, -3/2, 1, 9/8, -1, 75/8, 
  -3/2, -1, -1, -1, -3/8, 71/8, 1, 71/8, 5/2, -1/2, 41/8, -5/4, 1/2, -7/4, 
  -97/8, 1/2, -1/4, 3, -3, 13/8, -4, 7/2, -13/8, 1, -1/2, -5, -9/8, 9/2, 
  71/8, 1, -11, 1, -1/4, -77/8, 63/8, -23/4, 43/8, 19/4, 61/8, -3/4, -7/2, 
  9/4, -93/8, -1/4, 2, 13/8, -3/2, -13/8, -1/2, -3, -9/8, -2, 71/8, 1, 2, 
  -12, 1, -3, -61/8, 63/8, -2, 39/8, 1, 31/4, 61/8, -5/4, -5/2, 23/2, -101/8, 
  -7/2, -7/4, 1/2, 1/4, 1/2, -1/4, -5/4, 3/4, -7/2, 4, 1, 5/2, -1/2, -1, 2, 
  3/4, -5/8, 15/8, 3/4, -5/2, -13/4, -1, -23/2, -3/2, 5, 11, -1/2, 3, 1/2, 
  -5/8, -4, 9/4, 1, -5/2, -3, -1, -29/4, -13/8, 35/8, 43/4, -1/8, -6, 2, 1, 
  2, -1/2, 1, 1/2, -1, 1/2, 5/2, 1/2, -2, 3/4, 15/4, 1, 1/2, 1/2, -1/2, 1, 
  -1, -1, 2, -1, -2, 1, 3, -1, -2, 1, -2, 3, 3/2, -4, -3/2, 1, -8, -3/2, 6, 
  5, -3/2, 3/2, 3/2, -1, -1, -5, -25/8, -3, 11/2, 37/8, -1/2, 1, 9/8, -2, 
  17/8, 2, -1, -3/2, -3/2, 6, 3/2, 1, 4, 1, 65/8, -3/2, -45/8, -1/2, -2, -2, 
  -49/8, -9/2, -37/8, 1, 11/2, 1, 7/2, -27, 2, 9/2, -1/2, -3, 20, 1/2, 2, 
  -7/2, -2, -1, -2, 3, -9/2, -1, 1, 11/2, -1, 1, -1, -3, 3, 1/2, -3, -3/2, 1, 
  3, 3/2, -1, 1, 1, -2, 1, 1, 3/2, -3, 1, -33/2, -3, -3/2, 4, 3/2, -1, 5, 1, 
  -5, -3/2, 5/2, 3/2, -3/2, 7/2, -6, 13/8, 15/2, 11/8, -1, 53/8, -3, 23/8, 1, 
  -1/2, 3/2, 1, 9/2, -1/2, 4, -3/4, -1, -2, -2, -3/4, -3, 7/4, -3/2, 2, 1/4, 
  1/2, 3/4, -1/4, 1, 4, 1/2, -6, 3/2, 3, 11, 5, -1, -2, -2, 1/2, 3/2, -1, -4, 
  1/8, -9/2, 9/2, -5/4, 3, -7/4, -1/2, 259/8, -17/2, 2, 17/4, 1/4, 7/2, 
  -23/8, -3/4, -5, 2, 7/4, 5/4, 3, -2, -11/4, 7/4, 3/4, -1/4, -7/4, 1/2, 1/2, 
  21/16, -1/16, 25/8, 19/16, 49/16, 19/8, -3/8, -3/4, -7/2, -37/16, 63/8, 
  -23/16, -8, 27/8, -1/8, 25/8, -75/8, -73/16, -1/8, -1/2, 1/2, 7/4, -33/16, 
  -5/8, 3/8, 13/4, 41/16, -1/2, 3/8, 25/8, 93/4, 159/16, 19/16, 12, 55/8, 
  -517/16, -235/8, 3/2, -17/4, -9/4, -13/16, 49/8, 7/4, -63/8, 83/8, -15/16, 
  157/8, 3/8, 9/4, -1/4, 19/8, 5/2, -3/2, -7/2, 3/2, 1, -3/2, 3/2, 27/4, -2, 
  -5/4, 1/2, -1, -1, 1, 3/4, -1/2, -3, -13/4, 11/2, 5/2, 31/4, -1/4, -2, 
  -7/2, 1/2, 5, 19/4, -3/2, 1/4, -1, 1/2, -1, 7/2, -15/2, 3/4, 3/2, -5/4, 
  -7/4, -31/4, -2, 19/4, 9/4, -5/4, -3/4, 1/4, 5/4, 1, -1/8, -3/2, -3/4, 
  -1/8, 2, -1/4, -1/2, -2, -1/8, 1/2, -1/2, -3/4, -7/8, -27/8, 7/8, 7/4, 7/2, 
  1/8, 3/8, 13/8, -1/4, -3/8, -1/2, 1/2, -1/2, 3, -1/4, -1, 3/2, -3/2, -3/4, 
  1/2, -2, 11/4, 9/4, -3/4, 3/4, -7/4, -1/2, 1/2, 1/2, -1, 1/2, 1/2, 1/2, 
  -7/4, 1, -11/4, -1/2, 11/4, -1/2, -1, -1/2, -3/4, 1, 3/4, -1/2, 2, 3/2, -8, 
  -5/2, 13/4, -1, 5, -3, -3/4, 1, -3/4, 8, 3/2, -3, -5, 3/2, -3/2, 2, -1, 1, 
  -1, 5/2, -1, -1/2, -1/2, -1, 1, -2, -1, 1, -2, 1, -2, 2, -4, -3, -1, 1, 3, 
  1, -1, -1, 13/2, -3/2, -2, 1/2, -1/2, -3/2, 1/2, 1/2, 3, 1, -1/2, 1/2, 
  -1/2, -1/2, -2, 1/2, -1/2, 1/2, -1/2, 1/2, -1/2, 1/2, -3/2, 7/2, 3/2, 1, 
  -11/8, 1/2, -1/2, -5/2, 1, -3/2, -1, 1, 1, -1, 1, 11/8, 1/2, 2, 3, -3, -1, 
  -5/2, -5/2, -1, 5/2, -5/4, 5/4, 5/4, -1/2, -5, -2, 1, 3/2, 3, -27/8, 1, 1, 
  -3/2, -1, 1/2, -13/4, 19/4, -1/2, -1/2, 1/2, -1, 3, 2, -1, -4, -5/2, 4, 2, 
  -2, -3/2, 1/2, -1/2, -1/2, 1, 3/2, -4, 5, -5/2, 4, 1/2, 13/4, 2, -3, 1/2, 
  1/2, -2, 1/2, -1/2, -1527/4, -22, 22, -22, 2, -12, -15/2, 58, 25/2, 1/2, 
  -1/2, 2, -1/2, -1, 3, 7, 14, -5/2, 1, 1/2, 2, -3/2, 22, -17, -6, -1/2, -2, 
  2, 2, 16, -11/2, 5/2, 1, -3/2, -19, -10, 5, -1/2, -2, 1/2, -2, -5/8, -5/2, 
  7/4, 9/4, -7/4, -7/8, 2, 7/8, 4, 3, 1, -1, -2, -4, -2, 2, 4, -2, -4, 4, 3, 
  5, 2, -4, -7, 3, 15/2, 11/2, -3, -19/2, -7/2, -7/2, 9/2, -21, -11/3, 45/2, 
  9/2, -1/2, -13/2, 9/2, 25/2, -1/2, -23, -1, 35/2, 7, 1/2, 2, -1/2, -3, 
  -3/2, 23/2, 1, -12, -2, 1/2, -5, 1/2, -1/2, 1/2, -1, 1/2, 1/2, 1/2, -1/2, 
  50/3, -35/3, 17, -1, 19/2, -3, 1/2, 2, -3, -2, 2, 3/2, -1, -3/2, -3/2, 3/2, 
  -21/8, -29/8, -3/2, 21/8, -9/4, -225/4, -1, 1/4, -15/8, 9/8, 1, 7/8, -1, 
  5/2, -3/4, 3/4, 1/2, -1/2, 1/2, 675/4, 6, -2, -147/4, 1935/8, 147/4, 3/2, 
  651/4, -15/8, -23/8, 9/4, 1767/8, 7585/32, -2441/32, -3/2, 29/8, 4, -15/4, 
  -479/8, -17/8, 35/8, 9/4, 3/8, -25/8, -1/8, -95/8, 21/2, -1, -3/4, -11/8, 
  1/2, -1/4, -7/8, 1/2, 1/4, -1/4, -9/8, 3/4, -9/8, 9/8, 3, 33/8, -15/8, 9/8, 
  13/8, -2, 2, 19/8, -3/4, 9/8, -9/8, -1/2, -9/4, 9/4, 9/4, 3, -3, -15/8, 
  1/2, 2, -2, 675/4, 6, 2, -183/8, 226, 199/8, -3/8, -15/4, 1/2, 1353/8, 6, 
  -4, -81/2, -9/4, 1975/8, 81/2, -21/8, -15/4, 15/8, 15/4, 31/16, -205/16, 2, 
  223/16, 29/8, 9/2, 2, 9/4, -1/2, -6, 33/4, 231/16, -15/2, -123/16, -81/16, 
  -19/4, -1, -17/8, 13/8, 87/16, -45/8, 39/16, -5/4, 61/4, -21/2, -17, 
  -61/24, 53/48, -7/16, 89/8, -89/8, -7/8, 39/4, 55/8, -61/16, -533/48, 
  89/12, 243/16, -11/4, -21/8, 11/8, -67/12, -5/4, 5/8, 16, -11/2, -145/8, 
  9/4, -13/16, 119/16, 1/8, -35/48, 19/2, -5/2, -1, -1, -3/2, 5/4, -503/32, 
  1/2, 503/32, 1, 5/4, -543/32, 1/2, 575/32, -17/4, -7/4, 15/4, -3/4, -81/16, 
  39/4, -31/4, -353/16, 1/4, 83/4, -1, 5/4, 3, -45/8, -31/8, 19/4, 19/2, -1, 
  -57/4, 77/16, 131/16, -25/8, -1/16, -17/2, 75/8, 15/4, -1/4, 1, -23/8, 
  17/4, 7/2, 1, -7/2, 7/4, -37/4, -11/2, 6, 47/4, 5/4, -2, 5, -49/8, -37/2, 
  -9/2, -55/4, -31/2, 143/8, 121/4, 49/4, 63/4, 21/2, -4, -11, -29/4, 55/48, 
  -11, 11, -11, -1/16, 11, -27/2, 4, 11, 3, 8, 5, -3, 21/16, 1/16, 1/4, 
  55/48, -1/4, 1/16, -1/2, 55/48, 1/2, -12, 4, 11, 21/16, 4, 1/4, -1/4, -4, 
  -20, 10, -4, -11, 4, 20, -2, -2, -253/16, -7/6, 3, 8, 3, -3, -12, 19/3, 
  -59/6, -1, 19/3, 5/16, -131/6, 7/2, -15/4, -1/4, -7/2, -23/4, 41/4, 1/2, 
  13/2, -5/4, 8, 1/2, 29/4, -5/4, -3/4, 3/2, 3/2, 6, 2, -2, -3, -15/4, -1/4, 
  -2, -7/2, -23/4, 3/4, 1/2, -11/4, 29/4, 1/4, -4, 2, 3, 2, 13, 389/48, 35/4, 
  -7/4, 19/2, -19/2, 27/4, 95/2, 15, -17, 1, -31/3, -200, 23/4, -799/4, 55/4, 
  11, -559/4, -1113/8, 199, -71/4, -22, 277/2, 12, 15/4, 13, -3/2, -13, -9/4, 
  -99/4, -13, 5/4, 21, -127/4, 5/4, 127/4, -3/2, -69/4, 127/4, 2, 420, -1/2, 
  -3/4, -27/4, 3/4, 24, 9, -53, -9, 29, -173/2, -9, 76, 125/2, -25, -11/2, 
  25, 3, -3, -11/2, -9, -13, 125/2, 9/2, 25, -1/4, -13, 3/4, -1/4, -1/4, 14, 
  3, -439/72, -1, -7/4, -3/2, 503/18, 1/2, 475/72, -503/54, -1279/24, 989/54, 
  2005/36, 479/72, -3/2, 1033/54, -7/4, 389/48, -1807/36, -1897/54, 
  -1033/108, 1951/108, 353/72, -3/2, 1195/54, -7/4, -1879/72, 389/48, 25/4, 
  -1016/27, 3, -21, -1, -1, 1/2, 41, -41, -57/2, -41/2, 105/2, 17, -139/2, 
  179/2, 87/2, -81/4, -41/2, 17, 41/2, 1, -3/2, -1/2, 1/2, -9, 22/3, 2, 31/2, 
  31/12, 15, 35/3, -10, -7/2, -5/2, -6, -45/4, 6, 3/2, 1, 1/2, -1/2, -1/2, 
  1/2, 1, -1, 6, -3/2, 29, -29/4, -47/6, -3/2, -11, -6, 3/2, -31/12, 3/2, 
  -5/2, 77/3, 7, 20, -91/3, -10, -1, -6, -43/2, 59/2, 3/2, 7/4, -1, -1/2, 
  -27/2, 53/12, -29/2, -18, -91/8, 251/24, 197/8, -97/12, 37/2, -23/12, 
  301/24, -11/2, 19/3, 451/24, 185/12, -5/6, 1, -21, -5/6, -1, 37/2, 53/6, 
  25/2, 8, 15/2, -74/3, -5/2, -3, -25/2, -629/24, 3/4, -1/24, -11/12, 59/12, 
  35/2, 227/24, 307/24, -6, 235/12, -26/3, -151/12, -103/12, -1, -623/24, 
  3/4, 6, 49/12, -1, 41/2, 227/24, 37/2, -6, 341/24, -49/6, -23/4, 45/8, 
  -37/12, -11/32, -7/12, 11/32, 7/12, 1, -11/2, 1/2, 7/2, 1, -5/2, -1, 2, 
  55/8, -1/2, 4, 31/8, 4, -5/8, 77/8, -5/8, -7/8, -85/24, 55/8, -1/2, 6, 1/2, 
  -1, 4, -5/8, -2, 77/8, 77/8, -7/8, -107/12, -3, -4, -2, 2, 4, -1, -9/2, -6, 
  2, 1, -8, 1, 6, 2, 3/4, -2, -15/2, 101/4, 23, 1, 2, 1, -3, -1, 1, -3/2, 
  -235/8, 179/8, 1/8, -2, 5/2, 261/8, 1/2, 2, -211/8, -2, -2, 11/2, 5, 24, 8, 
  1/2, 3, -15, -11/2, 11/2, 9, 61/12, 3/2, -55/12, -55/12, 22/3, -23/2, 
  -23/3, 6, 3/2, -181/12, -7/4, -49/6, 133/12, 22/3, 3/2, 6, 37/6, -1, -7, 
  -23/3, -10, 3/2, -22/3, 3/4, -9/2, 20/3, 3/4, -61/16, 1051/16, -945/8, 
  8263/64, -1319/64, 15/8, -1/8, 493/16, 3/4, 113/8, 333/16, -853/16, -1, -1, 
  33, -203/8, 921/8, 126, 61/8, 1105/4, 199/2, -150, -213/2, -33, 251/8, 1, 
  39, 125/8, -137/16, 3/2, 9/4, -649/16, 69/2, -61/4, 1299/16, -9143/64, 
  -99/4, -13, 2199/64, -1/2, -28145/96, 125/16, 179/16, -5/2, 2, 15905/96, 
  -2739/16, -3/2, 13/8, 7627/64, -15/2, 445/8, 2, 101/16, -7741/32, 
  -28589/96, 183/16, 171/16, -11/2, -1251/16, 14273/96, -2783/16, 1025/8, 
  -7591/64, 8467/64, -41/2, 4311/64, 2, -21397/288, -28589/96, -1795/12, 
  127/16, 14273/96, -77/3, 1025/8, -131/16, 8403/64, 29951/192, -111/8, -1/8, 
  147/8, -3/4, -1/4, 17, 3/2, -31/16, -1/4, 23/16, 47/2, 5/8, -105/8, -59/8, 
  39/8, 31/4, 97/8, -527/16, -9/2, 455/16, -59/8, -9/2, -1/4, 5/8, -11/2, 
  -1/2, -29/8, 1/4, 21/4, -29/2, -67/16, -475/16, -411/16, 331/4, -9/2, -1/4, 
  -6, -29/8, 1/4, 21/4, 97/4, -43/16, -259/8, -419/16, 1363/16, -3, -5/8, 
  8797/144, 1303/288, -7/8, 177/32, -1, -8653/144, -1789/288, 7/8, -281/24, 
  -337/16, -305/48, 449/32, 819/32, 377/48, -97/32, -6787/144, 143/8, 
  -1933/288, -337/16, 819/32, -97/32, 641/16, -693/32, -19, 4, -235/8, -11/8, 
  -69/8, 65/8, 226, 263/8, -131/8, -245/4, 211/8, 151/8, -163/8, -3, -93/8, 
  287/8, -133/8, -213/8, 73/8, 17/2, -515/8, -61/8, -11/2, 61/8, -211/8, 
  127/8, -1403/8, -6, 727/8, 449/8, -7, -151, -307/2, 25/2, -443/8, -43/4, 
  154, 83/4, 425/8, -397/8, 151/8, -1751/8, -6, 51, -7, -837/8, -235/4, 
  -43/4, 841/8, 83/4, -53, 99/8, 27, -337, -91/8, 9, 36, -79/2, -79/4, 489/8, 
  -809/48, -1985/48, -613/8, 19/4, -55/4, 65/8, -59/4, 625/16, 289/8, -2, 
  -45/8, 247/6, -8, 3017/48, 1149/16, 3, 7/2, -6, -3/2, 1, -2, -17/4, -1/2, 
  -2, 4, -79/4, 81/4, 487/32, 1/2, 5, -31/4, -2, 61/16, 11/4, -79/4, 11/16, 
  81/4, 6, 535/32, -35/16, 11/2, -24, 61/2, -3/4, 22, -1/2, -431/16, 13/2, 
  3/4, -22, -11/8, 237/8, 179/8, 19/4, -21, -1/2, -1/16, -195/16, 7/4, 31/8, 
  1/16, 17, -55/16, 63/16, 125/16, 33/4, -1/8, 53/8, 307/32, -107/4, -457/32, 
  -5/8, 1, 55/8, 231/32, 7/4, -297/32, 205/8, 69/2, -49/2, -17, -42, 31/4, 
  47/2, -25/2, -11/2, -99/4, 95/2, -53/2, 51/2, 115/12, 3, -67/12, -13/2, 
  -153/4, -39/4, -163/12, 51/4, -61/4, -1, 121/4, 61/4, -1/8, 79/4, -3/2, 
  -5/8, -50/3, 2, -31/12, 7/2, 1817/216, 13/16, -1253/72, -36155/864, 
  -8567/144, 9/2, 49/12, 3977/216, 1187/96, 1670/9, -10781/216, -1801/16, 
  965/72, 13619/864, 13/16, 6565/144, -37019/864, -8495/144, -623/72, 61/12, 
  3437/216, -1609/48, 1115/96, 6563/36, -10349/216, -1817/16, 12, 13835/864, 
  13/16, 4319/144, -37127/864, -5723/144, -497/72, 61/12, 3113/216, 
  -5815/144, 1007/96, 1493/9, -9917/216, -5575/48, 93/2, -87/2, -30, -73/2, 
  -10, -3/2, -31/2, -41/4, -8, 20, 19, 13, 73/2, -85/4, 19/2, -5/2, 91/2, -5, 
  -48, -87/2, -113/2, 44, 53, 15, 50, -91/2, 35, -29, -5, -113/2, 53, 37, 
  95/2, 10, 2, -27, -2, 9, -4, -3, 77/3, 4, -3/2, 3/2, 3/2, -6, 6, -1, 10, 
  175/6, 3/2, 15, 7, -2, -9, 5/2, 5/2, 2, -7/2, 65/2, 203/12, 12, 199/12, 
  -16, -159/4, -47/4, -181/12, 29/4, -37/4, -2, 113/4, 33/4, -12, -11027/864, 
  -1/2, -4319/144, 54029/864, 5723/144, -71/3, -209/12, -15893/216, 25/2, 
  339/8, 1/4, -59/2, 1/8, -3/4, 33, -3, 2, 121/16, -55/2, -1039/48, -5/16, 
  -13/16, -1/2, 45/16, 3/16, -1, 39/8, -49/16, 51/4, -155/16, 19/4, -87/4, 
  7/4, 1/2, -13/2, -213/16, -11, -29/16, -11/2, 7/4, 11/2, 121/16, -3, 
  -331/16, -16, -3/2, -44, -139/4, 3/4, 49/2, 22, 53/4, 91/2, -1/4, -43/2, 
  -87, -135/4, 21/2, 135/4, -235/8, -69/2, 3/4, 22, 91/2, -1/4, -22, -193/4, 
  -135/4, 31, 151/4, -235/8, 6, -41, 243/4, -3407/96, -1373/48, 117/8, 
  5801/144, -1001/32, 4385/288, 7, 391/24, -5365/96, -2, -5513/144, 1741/32, 
  31669/288, 1373/8, -149/8, -12, -12755/864, -1/2, -4319/144, 26543/864, 
  5723/144, -689/32, -3217/96, -5489/216, 825/32, -881/32, 833/32, 881/32, 
  -2/3, -7/6, 3, -4, 1/2, -7/12, 53/12, 985/36, -13/6, 8/3, 59/12, 3/2, 
  -31/18, 5/6, 5/3, -47/12, 8921/36, -5/6, -7/4, -3/2, 7/4, -531/8, 15/4, -3, 
  621/8, -3/4, 1, -2, -183/4, -213/4, 547/8, 5/2, -1075/16, 531/8, -63/4, 
  -3/2, -16, 3/4, 899/8, 571/8, 39/4, -10, 12, 3/2, -6, -5/2, -21/2, 6, 21/2, 
  -7/2, -23/2, -7, 13/2, 9, 43, 15, -15, 2, 1/2, -19/2, -2, 2, 1201/216, 
  1/24, -3/2, 2683/216, -19/24, -1/2, -202/27, -25/8, -7/6, -3821/216, 11/24, 
  985/27, 2, -19/6, 5039/108, 3031/108, -14849/216, 209/24, 63/8, -1925/108, 
  -1/24, -1931/216, 7/6, 30, -5/8, -103/24, 143/8, 1/2, -135/8, 1/2, 49/8, 
  273/8, -1, -189/8, 111/8, 97/8, 215/8, -213/8, 1, -1, -1, 2, -1, -2, 1, 
  1/24, -113/24, 149/24, 1, -79/24, 3, 3/2, -4, -3/2, 1, -8, -3/2, 283/24, 5, 
  -3/2, 3/2, 3/2, 41/4, -121/24, -3, -14, 9/2, -5/2, -11, 37/3, 19/4, 13/4, 
  91/8, 17/16, 37/12, 29/4, 21/2, -589/16, -37/6, -27/4, 17/3, -1/16, -13, 
  -19/6, -1, -2, -5/8, -13/3, -49/8, 13/4, 53/3, 125/24, 18, -133/6, -25/2, 
  3/2, -3/2, 9/2, 369/8, 241/6, 13/24, 24, 173/4, -169/2, -59, -67/8, 47/8, 
  5/4, 139/24, 21/2, 143/6, -71/8, -139/12, -175/8, 47/2, -271/24, -53/6, 
  -17/2, 437/12, 34/3, -33/2, -7/12, -9, 11, -49/24, 12, -79/8, -5/2, -21/2, 
  9/2, -55/3, -3/2, 2, 7/4, 6, 5/8, 49/8, 3, -473/12, -7/2, -15/4, 105/8, 
  -9/4, 9/4, 7/4, -69/8, 1/2, -7/4, 16, 11/32, -18, 6, 7/12, 17, 2, 5/2, -17, 
  429/8, 291/4, -37, -11/2, -165/8, -2, -437/8, -219/4, 41, 29/8, -4, 2, 
  -65/4, 65/4, 6, -69/4, -2, -2, 305/8, -315/8, 237/8, -4, -433/8, 73/4, 2, 
  -175/8, 96, -367/8, 425/8, -453/8, -3/2, 7, 187/12, -17/4, -7, -55/12, 1/2, 
  -1/4, -101/4, -73/12, -41/12, 29/4, 3/2, 1/4, 3/2, 133/8, -85/8, 71/8, 
  11/4, -11/2, -409/24, -3/4, 7/4, -3/2, 163/8, -7/4, 99/8, -6665/36, 9, 
  -2665/32, 47/6, -9, 3/2, 2, 4271/288, 135/8, -29/6, -3/2, -2, 83/8, 
  -187/16, 2219/32, 13/8, 27/4, 289/24, -1, -53/8, 2971/48, -8/3, -639/16, 
  13/12, -5/8, 1, -85/12, -2, -9/2, 1/8, 3/2, 5/2, 1/4, 1/2, 25/8, -201/8, 
  1/4, -2, -317/8, -293/8, 3/4, 41/8, -13/16, -3/4, -553/16, -3/4, 35/8, 2, 
  441/16, 9/8, -5, -101/8, -1/2, -2, -401/48, 305/48, 119/48, -13/2, -107/6, 
  3/2, -49/8, 491/48, 1, 2, 529/48, -3/8, -11/12, 2221/216, -847/12, 49/27, 
  1559/48, -11/3, 3/8, -15/4, 55/4, -1, 219/4, -6, -831/8, -3, 10, 37/4, -1, 
  2, -53/4, 211/8, 35/8, 21/4, -1, -29/4, -243/4, 33/4, -3/2, 36, -9/2, -1, 
  -1493/8, -469/8, -23, 613/8, -45/4, 3/2, 3, 21/4, -4, 39/8, 691/48, 21/2, 
  -31/16, 205/16, -9/4, 263/48, -641/16, 31/4, 29/24, 101/48, -1277/24, 
  145/8, 937/48, -15, 5/2, -5, -1/2, 1, -1, -1/4, -249/16, 87/32, -51/8, 
  121/2, -143/8, -343/8, -5/4, 3/2, 67/2, -251/16, -32, 1/4, 135/8, 51/4, 
  -619/32, 5/2, -249/4, 91/4, 611/8, -543/16, 7, 681/8, 109/8, 297/8, -43/4, 
  -279/4, -439/8, 57/4, 227/16, -83/8, -61/8, -761/16, 5/8, 195/8, 1, -497/8, 
  -53/8, 39/8, 1221/16, 21/4, -9/4, 409/8, -49/8, 9/4, -211/16, 61/2, -123/8, 
  379/8, -473/8, -113/4, 1165/16, -185/8, -133/2, -1009/16, -145/8, 131/4, 
  369/8, 441/8, -59/8, -11/8, 23/32, 73/4, -75/8, -7/2, -211/4, 89/8, 251/8, 
  2, 23/32, -155/16, -503/8, -125/8, 161/4, 23/8, -11/2, 653/16, -1/4, -4, 
  -1/4, 3/2, 277/8, -151/8, -109/2, 17/2, -31/4, -193/4, -91/4, 1, 105/8, 
  -29/4, -3/2, -8, -553/216, 7/12, 19/2, -1751/216, 1/24, -3/2, -79/12, 57/8, 
  7/6, -1255/216, 11/12, -79/6, 7/6, -6743/432, 109/18, -1/2, 54017/432, 
  67/72, 11/4, -19409/648, 1/6, 181/36, -7/6, -854/9, -31/8, -2, 259/18, 3/2, 
  -4, 77/4, 3, -57/4, 1, 6, -49/8, 7/2, -71/8, -5/2, -81/8, 195/8, -1, 4, 
  55/2, 22, 4, -37, -2, 139/8, -9/8, -43/8, -51/8, -7, -117/4, 43/4, -19/8, 
  -1, 1, 13, -2, 3, 77/4, 2, -3, -41/4, -1, -2, -5, -65/4, -15/2, -45/4, 1, 
  23/2, -15/2, -11/2, -63/2, 4, 8, 9, 15/2, 38, 1/2, 19, -4, -19, -4, -5/4, 
  1/4, 8, -1/4, -2, 6, -5/4, 2, 78, 125/8, 41/8, -245/4, 487/8, -193/8, 3/8, 
  -7/2, -41/8, 3/8, 5/2, 75/4, 1, -9/8, 129/4, -1/8, -83/8, 2, -2, 245/16, 
  3/4, -835/16, -40, 39/2, -41/2, -1/8, 69/8, -7/4, -79/8, -3, -22, 83/8, 3, 
  2, -383/48, -11/2, 767/48, 5/2, 33/8, -851/48, -1, 2, -2, 2, -2369/48, 
  1473/32, 1979/96, -1117/48, 6, 3, -2, -319/24, -3, -3, -32, 29/3, -39/2, 
  11, 2, 47/2, -51/2, -3123/2, 2, -9/2, 1, 1/2, -1/2, 5/2, 2, -1/4, 32, 1/2, 
  -13, 1/2, 21/8, 11/2, -8, -21/8, 15/2, 23/2, -4, 1287/2, 15/8, 23/4, 71/4, 
  -7/8, -71/4, 47/8, -2, 35/8, 1/2, -4, -37/4, -45/4, 37/4, -45/4, 45/4, 
  45/4, 3/2, 2, 1, -13, 107, 68, 13/8, 1/2, 55/48, -1/2, 11, -11, 11, 22, 
  13/16, -43/2, 43/2, -1, 71, 39, -23/2, 1/2, 2, 115/2, 23, 1/2, -63/2, 1/2, 
  -389/48, -71/4, -4279/72, 4279/72, 9/4, 1/2, -389/48, -71/4, 20423/144, 
  -4279/144, -389/48, 1723/144, 20315/144, -341/54, -2, 3, -28, -55, 10, 
  73/3, -12, 6, 977/48, 1, 32, -11, 10, -5/2, 89/4, 3845/4, 10, 9/2, -71/8, 
  -55/4, -1, 55/4, -67/8, 3/4, 15/8, 45/4, -5/2, -45/4, -31/2, -1, -1/2, 5, 
  1/2, -32, -17/2, -11/2, 13, 7/2, 187/8, 489/16, 525/16, -203/8, -785/16, 
  -53, -2957/48, 29/2, 667/4, 147/2, -1, -161/2, 1363/8, 9/2, -219/4, -4, 
  215/4, 4, -607/16, -34, 99/8, 579/16, -289/16, 391/8, 289/16, -23/4, 5, 
  203/16, 253/24, 173/4, -911/12, -499/16, 47/6, -1163/12, 97/6, 70/3, 
  -341/54, 20, 119/27, -131/8, -5, -9/8, -2863/108, -97/288, -15, -9/2, 
  -335/12, -475/288, -25/32, -15, -135/32, -4, 1, -2, 2, 47/3, 1/2, 73/12, 
  1/2, 17, 2/3, 32, -4, -67/6, -25/6, -23/4, -605/12, 33/2, 73/6, -1, -1/8, 
  7/3, -27/4, -11, 5/4, -85/8, 1, 1/8, 2684/27, 4637/288, 13811/288, 3671/54, 
  -55/24, 10763/108, 4691/288, 3329/72, 3923/54, 221/96, 977/48, -2, 
  -2461/24, -9613/48, -3/2, -977/96, -41405/288, 4441/48, -33583/288, 
  -46733/96, -137/8, -977/96, 8347/16, 481229/240, -37501/288, -44525/144, 
  8281/16, -7639/96, 3/2, -121/24, 11963/15, -8347/16, -11963/15, 
  -481589/240, -4, 651/2, 1, -7639/96, -67/48, -7641/32, -10, 39/4, -7583/32, 
  -7713/32, 1/4, 2229/80, -2229/80, -121/24, -2999/180, 1759/32, 53207/144, 
  -7315/32, 471629/480, -2407/90, 10444/15, -4993/36, -85517/120, 
  -497429/480, -1179/160, 539/160, -251/12, 4, -69/16, 675/4, 6, -37/16, 
  -85/16, -133/32, 1387/16, 3, 7/4, 15/4, 19/32, -1139/8, -3, -5353/288, 
  7825/288, 4019/36, 119629/288, 2093/48, 3/2, 6773/24, -5/2, -5099/24, -2, 
  3343/12, -374737/5184, -31127/864, -130735/1296, 16757/432, 14597/864, 
  -18485/864, -16649/432, -17297/162, 15245/864, -16757/432, -195263/2592, 
  3053/48, -44/3, 17351/288, 14023/144, 175/8, 2699/96, -565/48, -9787/288, 
  -3293/36, 8943/32, -8171/48, -541/8, 4643/48, 8045/48, -7539/32, -55/2, 
  -557/8, -19/2, 7925/48, -9743/96, 445/2, -1253/24, -7675/48, -115/8, 461/4, 
  -665/48, -7675/96, -63/4, -295/16, 4189/120, -49801/144, -34705/288, 
  68869/72, 139267/160, -5/4, 5/4, 5/4, 1177/32, -223/24, -121/48, -311/8, 
  753/32, 2671/48, 977/48, -399/32, 19/2, -4, -479/32, -8, -231/2, -19/2, 
  297/8, -631/16, -197/4, 207/16, 144, -3059/96, -269/8, -37/3, 25/16, 
  -2969/48, 116/3, -44, -13/2, 2, 145/16, 191/8, 1/4, 37/3, -25/16, 1889/48, 
  -8/3, 44, 26, 80, 87683/2592, 11659/324, -505/32, 21293/648, -163/8, 95/4, 
  19/4, 3/2, -665/24, 27/2, -317/12, -127/4, -14/3, -497/24, 9/2, -2/3, 1/4, 
  57/4, -2275/3, 87/4, 691/72, -59/4, 7/2, -8423/216, 109/108, -787/12, 
  -41/24, 193/6, -3/2, 6, -17/3, -1, -9/4, 1151/2, -71/6, 1/4, -187/6, 
  -815/12, 29/6, -6809/12, 833/12, -1, 3/2, -7685/216, 1091/54, 71/2, -15/4, 
  -5/4, -853/12, 5/4, -3/2, 61/24, 7/4, -1611/16, 21913/96, 259/4, 2189/16, 
  55/4, -5/4, -1539/16, -38789/96, 5423/32, 2829/8, -13099/64, 31/8, 39/4, 
  1787/64, -6, 1601/16, 159/16, -22241/144, 155/144, 15131/72, 579/16, 3/4, 
  -693/16, 3/2, 22673/144, -9107/144, -24025/144, 379/16, 19/4, -48023/144, 
  1115/8, 9775/72, 1525/16, -1915/16, 21/16, 64, 48167/144, -873/8, -9505/72, 
  1909/16, -121/4, -1, 103/4, 21, 9/8, 12, -131, -121/4, -140, -147/4, 
  -107/4, -9/8, 83/4, -1879/48, -13327/144, 2, -8681/72, 2467/36, 24331/144, 
  32201/216, 8/3, -2944/27, -7/4, 1867/48, -10075/144, -19255/144, -1429/54, 
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  20, 41/8, -721/96, -55/8, -2521/96, -715/16, 1157/48, -7/96, -1655/48, 
  61/96, 25/2, 335/24, -79/32, -6983/144, -1523/108, -5641/48, 8, -35/12, 
  421/8, 24125/432, 487/27, 3925/48, -455/8, 851/24, 107/6, 479/8, -12, 
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  9, -353/12, 67/2, 38/3, -277/6, 241/12, -13/2, 21, 11, -9/2, -82/3, -41, 
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  5747/216, -163/48, 479/8, -3011/96, 1201/24, 7/4, -557/144, 1625/32, -6, 
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  1259/48, 433/8, -307/144, -47879/144, -3/4, -10855/96, -5743/96, 
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  -11707/12, -29885/288, 15107/24, 377401/240, -3931/540, 1972903/2592, 
  -102437/648, -1676269/576, -261721/240}}
