{{1, 1/4, -1/2, -3/2, 1, 1, 1/4, 5/4, 2, -1/4, -1/4, -3/2, 1/4, 1, -3/2, 1, 
  3, 1/4, -3/2, 1, 1/4, 3, -3/2, -2, -6, 2, 1/2, -2, -6, 1/8, 17/8, 2, -1/8, 
  -1/8, -3/8, 3/8, -1/4, -21/4, 2, 6, 1/2, -3, 1, -5/2, -8, 1/2, -3/2, -9/2, 
  9/2, -4, 69/16, -5, -17/2, -9/4, 1/4, -3, -1, -1/2, 1, 1, 1/8, -69/16, -5, 
  -1/4, -69/16, -3/4, 7/4, -3, -1, 1, 1/8, -57/16, -1/8, -31/16, -7/8, 69/16, 
  5/8, -9/4, -1/2, 1/16, -57/32, -1/2, -5/2, -7/16, 69/32, 1/16, -69/32, 
  -9/8, -3/8, 105/8, -105/8, -105/8, -45/4, 45/4, 45/4, -105/8, -213/8, 
  -21/2, 105/8, 45/4, 45/4, 237/8, -59/4, -24, -3, -9/2, -21/4, 7/2, 15, -4, 
  5/2, -1/8, -1/8, 1/8, 1/8, 3/4, -3/4, -3/4, 3/8, 2, 2, 21/2, 9, -2, 21/2, 
  3, -9, -5, -69/16, 1, 15/2, -69/16, -9, -21/2, 21/2, 21/2, -2, 6, -4, -13, 
  3, -17/16, -23/8, 9/8, 23/2, -81/16, -21/2, 21/2, 9, -4, -12, 3, 193/16, 
  -3, -6, 37/2, -3/16, -357/16, 357/16, -357/16, 5/4, 357/16, 5/4, -357/8, 
  -35/8, 35/8, -3/2, -9/4, -37/8, 3/2, 15/4, -35/16, -15/4, -3/8, 45/4, 9/8, 
  15/8, -15/8, -9/2, 9/2, -3/2, -6, -3/4, 69/16, -15/4, -3/2, -9/8, 6, -3/2, 
  -9/4, -21/8, 7/4, 15/2, 3, -1/2, -5/2, 1/2, 5/2, 3/16, 1/16, -69/32, 
  -69/32, -1/16, 69/32, 9/8, -3/8, 3/8, -3, 7/2, -1, -3, -1, -1, 3, -25/16, 
  -55/32, 1/2, 5/2, 5, 1, -3, -3/8, -1/16, 69/32, -1, 3/8, 1/2, -1/2, -1/16, 
  57/32, -119/8, 1/16, 483/32, 7/16, -69/32, -1/2, 9/8, 357/32, -6, 27/4, 
  21/4, -357/16, 6, 357/32, -9/4, -237/16, 4, 12, 27/4, 21/4, -27/4, -21/4, 
  -21/2, 3, -3, -6, -9/16, -33/8, 45/8, 1071/16, 3/4, -357/32, 105/16, 
  -273/4, -45/8, 3/2, -9/4, 21/8, -1, -15/2, -9, 3/2, 9, -3/2, 21/2, -12, 3, 
  111/16, -9/2, 99/16, 105/8, -9/2, -1785/32, -21/4, -357/16, -3/2, 1785/32, 
  531/8, -345/16, -327/16, -543/8, -357/32, -21/4, -3/4, 3/4, 357/32, -2, 
  -5/2, 4, 19/2, -3/2, 13/8, 1785/32, 5/2, -1071/32, -13/4, -133/2, 713/16, 
  15/2, -7, 2, 15/2, -1975/32, 49/8, 345/16, 61/2, 571/8, -3/2, 1, 5/4, 5/2, 
  7/2, -3/2, -3/2, 5/4, -1/4, -3, -5/4, -1/4, 7/2, 5/4, -1, 7/2, -3/2, -4, 
  5/4, 7/2, -3/2, 5/4, -4, 7/2, 19/2, 25/2, -3, 2, 5/2, 19/2, 25/2, 1/2, -2, 
  -3, -1/2, -1/2, 37/8, 2, 9/4, 10, -5/2, -13/2, 21/8, 25/4, -5/2, 9/4, 25/2, 
  -3/4, -19/4, -1/4, 3/4, -3/2, -5/4, 1/8, -1, 5/8, 1/2, -1/8, 7/8, -3/8, 
  -13/8, 5/2, 2, -1/4, 27/4, 3/4, 21/8, -17/4, -2, 2, 3/4, -3/2, -3/2, 1, 
  33/8, 2, -3/2, 37/8, -1/8, -4, -2, 2, -3/2, 1, 1, -7/8, -1/4, -3/2, -13/8, 
  -5/4, 3/4, 3/2, -1/4, 1/2, 11/32, 27/64, 1/8, -1/2, 7/8, 9/4, -1/16, 7/16, 
  11/32, -121/64, -1/8, 27/32, 121/64, 15/16, -19/16, 45/4, -89/4, -45/4, 
  89/4, -45/4, 89/4, 45/4, -45/4, -45/4, -45/4, -45/4, 89/4, 179/4, 16, 45/4, 
  -77/4, -45/4, -63/4, -247/4, 123/4, 62, 13/2, -3, 45/2, 77/4, -39/2, -53, 
  7, 163/4, -5/2, -49/8, -1/2, -1/8, -1/4, -1/2, -1, 1/2, 1/2, -21/8, 9/4, 
  1/2, -5/8, -7/2, -7/2, -59/8, -4, 3, -59/8, -7/2, 2, 13/2, 121/16, 1/8, 
  -55/8, -17/4, 109/16, 45/8, 29/4, -59/8, -29/4, 3, -17/8, 5, 21/2, -7/2, 
  25/4, 6, -51/8, -51/4, 149/16, 29/4, -29/4, -45/8, 5, 9, -7/2, -7, 11/2, 
  13/2, -85/4, -13/16, 1, 615/16, 115/4, -1, -497/16, 221/8, -7/2, 1/4, 1, 
  5/4, -161/8, -41/16, 1/4, 3/4, -1/4, 1991/32, -15/4, 65/8, 15/4, -65/8, 
  11/4, 3/2, 75/8, -9/4, -13/2, 71/16, 37/8, -7/4, 3/4, -157/8, -9/4, -5/2, 
  5/2, 21/4, -19/4, 1/8, -1, 27/8, 21/2, -1/8, 7/8, 13/4, -95/16, 11/2, 13/4, 
  -1/4, 9/4, -39/4, 3/2, -1/4, 45/4, 77/8, -33/4, -53/2, -13/4, 19/8, 9/4, 
  -1/16, 1/2, -25/16, -9/4, 1/16, -7/16, 25/32, 15/32, 121/64, 121/64, 1/8, 
  -21/32, -121/64, -15/16, -19/16, 19/16, 35/8, -43/8, -1/4, 2, 35/8, 3/2, 2, 
  -35/8, 117/32, 293/64, -3/8, -9/4, -67/8, 1/16, -45/16, 5, -43/32, -39/32, 
  -121/64, 19/8, 19/16, 1/12, -13/12, 1/12, 1, -11/12, -1/12, -13/32, 657/64, 
  1511/48, 2189/96, -3661/64, 1/12, 23/32, 121/64, -355/32, -15/16, -1205/64, 
  13, -45/4, -8, 1205/32, -29/2, -1205/64, -21/8, 9/4, 247/8, -57/8, -31, 
  -99/8, -8, 99/8, 8, 143/8, -13/2, 13/2, 17/2, -45/8, 21/8, 47/4, -45/8, 
  -1/2, -4629/32, -7/4, 1349/64, 87/16, -703/16, 4285/32, 45/16, -13/4, 45/4, 
  -77/8, 11/2, 53/2, 117/8, -13/4, -117/8, 13/4, -143/8, 20, -13/2, -14, 
  45/4, -51/4, -101/4, 9/2, 5911/64, 49/4, 817/16, -9/4, 9/2, -5911/64, 
  -2679/16, 1411/32, 707/16, 2743/16, 53/4, -121/32, -17/8, -5/2, -53/4, 7/2, 
  7, -7, -323/32, 49/8, -9/2, -120, -35/8, 1865/32, 9/4, 41/8, -5/2, 1573/8, 
  -175/16, -1681/16, -15/16, -53/4, 45/4, -1/4, -7/2, -13, -3/4, 2061/16, 
  -67/4, -1355/16, -5355/32, -3373/16, 1/2, -3/2, -2, -5/2, -5/2, 1/2, 1/2, 
  -2, -3/2, 1, 2, 1/2, -5/2, -2, -5/2, 1/2, 1, -2, -5/2, 1/2, -2, 1, -5/2, 
  -8, -8, 1, -3, -4, -8, -8, -7/4, -1, 1, 7/4, 5/4, -15/4, -9/4, -7/4, -23/4, 
  3/4, 3/2, -13/4, -4, 1, -1/2, -1/2, -31/4, 3, 11/2, 5/2, -5/4, -1/4, 1, 
  7/8, 13/8, -3/4, -7/8, -7/8, -5/2, 11/8, -1/4, -5/4, -13/8, -9/4, -5, 39/8, 
  1, 6, 13/4, -3/4, -1/4, 1/2, 1/2, 5/4, -13/8, -5/4, 3/8, -15/8, 17/4, 5, 
  13/4, -3/4, 1/2, 5/4, -5/4, -1/2, 1/2, 11/8, -17/8, -1, 1/4, -1/2, -29/64, 
  11/128, -1/8, 1/4, 7/16, -1/2, -13/32, -21/32, 59/64, 71/128, -3/4, 83/64, 
  -71/128, 39/16, 3/32, 77/32, -45/4, 12, 45/4, -12, 45/4, -12, -5/2, 5/2, 
  5/2, 45/4, 45/4, -12, -24, -15/2, -45/4, 11/2, 5/2, 23/2, 77/2, -30, -57, 
  -9/2, 13/2, -47/2, -15, 55/2, 55, -27/32, -3, -7/4, -4389/64, 29/8, 73/16, 
  -27/32, 27/32, 97/64, -49/64, -3/4, -27/16, 1, 7/4, 101/64, -7/4, -53/64, 
  3/2, -27/16, -5/4, -27/64, -9/64, 1/8, -5/8, 27/32, 3/2, 3/2, 5/2, 7/4, -1, 
  5/2, 1, 3/4, -2, -89/16, 3/4, 5, 7/4, -73/16, -2, -19/8, 5/2, 19/8, -1, 1, 
  -3/2, -27/8, 1, -25/8, -23/8, 13/4, 47/8, -109/16, -19/8, 19/8, 2, -3/2, 
  -23/8, 1, 17/8, -9/8, -3/2, 67/8, -21/16, -7/2, -1069/16, -517/64, 1, 
  163/16, -373/64, 11/4, -1/8, -1/2, 33/32, 151/32, 3/4, 73/32, -1/8, -3/8, 
  -1223/64, 1/8, 5, -9/2, -5, 9/2, -3/2, 5/4, -23/4, 1/4, 13/4, -11/4, -3/4, 
  29/8, -1/4, 73/8, 11/8, 5/8, -5/8, -2, 7/4, 3/4, 1, -1, -23/4, -3/4, -3/4, 
  -7/4, 3, -7/4, -9/4, -11/8, -29/8, 27/4, -15/8, 1, -47/4, -15/2, 53/4, 
  55/2, 3/4, -21/16, -1/2, -13/32, -1/4, 19/32, 1/2, 13/32, 21/32, -159/64, 
  107/64, -71/128, -71/128, 3/4, 63/64, -37/128, -39/16, -3/32, 77/32, 
  -77/32, -21/16, 29/16, 1/4, -1, -21/16, -1/2, -1, 21/16, -47/64, -219/128, 
  -15/16, 1/2, 53/16, 13/32, 65/32, -2, -95/64, -43/64, 71/128, -61/16, 
  -77/32, -17/72, 31/36, -17/72, -1/2, -3/8, 26/9, 7/36, 35/64, -2069/384, 
  -2387/144, -2905/144, 27071/384, -17/72, 1/24, -99/64, -771/128, 2263/192, 
  -9/16, 21/2, -141/16, 6, 15/4, -21, 193/16, 21/2, 187/32, -9/2, -77/4, 
  253/32, 57/2, 57/8, 15/4, -57/8, -15/4, -79/8, 9/2, -9/2, -3/2, 45/8, -9/2, 
  -87/8, 5/4, 3/8, 1/8, 3205/32, 169/64, -105/8, -3/8, -173/32, 1413/32, 
  -5545/64, 65/32, 9/4, -81/64, -47/4, 15/2, -15/2, -55/2, -61/8, 9/4, 61/8, 
  -9/4, 79/8, -11, 9/2, 25/4, -31/4, 41/4, 139/8, -1, -3239/64, -135/16, 
  -2357/64, 21/8, -41/8, 3239/64, 2043/16, -1875/64, -1949/64, -2099/16, 
  -31/8, 11, 7/4, -23/16, 31/8, -3/2, -35/8, 3, 179/64, -117/16, 27/32, 
  107/32, 2623/32, 167/32, -431/16, -15/4, -5/32, 37/8, -5745/32, 1225/32, 
  5371/64, 105/32, 121/16, -91/16, 7/8, 3/2, 107/16, 21/8, -717/8, 239/32, 
  611/8, 13637/64, 6403/32, -11/32, 11/32, 11/32, 1/4, -1/4, -1/4, -3/32, 
  -3/32, 9/128, -9/64, -3/64, 5/64, 13/64, -15/64, 15/128, -9/64, 9/128, 
  -1/16, -3/64, -15/64, 5/64, 17/64, -5/16, 5/128, 15/64, -5/16, -17/128, 
  3/16, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, -1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 
  1/2, 11/64, 1/4, -5/128, 5/32, -3/32, 19/32, 3/32, -1/8, -45/64, -7/64, 
  81/64, 99/64, -11/32, 5/64, -1/2, -5/32, -19/32, -3/32, 3/4, 51/128, 23/64, 
  -3/64, 11/64, 3/32, -5/128, -3/32, 35/32, 3/32, -1/8, -3/64, 57/64, 113/64, 
  99/64, 1/2, 33/128, -11/32, -21/64, 31/32, 25/64, 5/16, 67/64, 15/64, 
  -39/128, 15/64, -15/64, 37/64, 3/32, 3/4, 5/16, -15/64, 27/64, 17/64, 
  -11/32, 9/32, 5/64, 21/64, 15/64, -25/64, -17/128, 1/4, -31/64, -1/4, 
  21/128, -1/16, 1/16, -7/64, 15/32, -11/32, 65/128, 25/32, -3/4, -35/64, 
  1/4, -65/64, 3/4, 15/32, 7/32, -15/32, 23/32, 75/64, -39/64, -75/128, 3/4, 
  43/32, 69/64, 315/128, -75/32, -3/8, -39/32, -119/64, -3/4, 15/32, -7/64, 
  75/128, 9/16, -3/4, -15/32, 1/4, -33/32, 3/4, 15/32, 7/32, -15/32, 5/16, 
  43/32, -73/128, -35/64, 3/4, 43/32, 71/64, 197/128, -39/16, -1/4, -19/16, 
  -29/16, -3/4, -15/32, -5/64, -55/64, 1/4, 35/128, 3/4, 15/32, 3/8, 7/32, 
  -11/32, -65/32, -47/32, -3/4, -55/64, 107/128, 15/32, 13/32, 11/64, 
  -105/128, 47/32, 3/32, -33/32, 107/128, 1/4, -13/16, 3/4, 15/32, 7/32, 
  19/64, -105/128, 7/8, -141/64, 105/128, -39/16, 3/32, -27/32, -15/64, 
  15/32, 27/64, 3/16, 13/64, 15/64, -45/64, 3/128, 3/32, -49/64, -25/64, 
  27/32, 15/64, -3/64, -15/64, -1/8, -1/16, -5/64, -5/64, -9/32, 11/64, 5/16, 
  1/2, -1/64, 15/64, -5/64, -137/576, -19/64, 1/4, -211/1152, -15/64, -1/32, 
  115/384, 3/64, 1/16, 91/32, -2, -91/32, 2, -91/32, 2, -1/4, 1/4, 1/4, 
  -51/16, -91/32, 133/64, 67/16, 1, 97/32, 5/16, -3/16, 1/2, -13/4, -225/32, 
  279/32, 509/32, 11/32, -11/32, -11/32, -1/4, 1/4, 1/4, 11/16, 11/32, -5/64, 
  -3/16, 1, -17/32, -37/16, 3/16, -1/2, 25/4, 97/32, -279/32, -509/32, 
  15/128, -59/128, -3/8, -3/32, -9/32, -15/128, 21/32, 7/128, -3/32, 81/128, 
  33/128, 27/32, -91/128, -15/128, 3/16, -75/128, -7/8, -23/32, 5/64, 69/64, 
  69/128, -1/8, -17/128, -41/32, 9/32, -7/128, 7/32, 85/1152, -31/128, 
  -25/64, 115/72, 7/128, -7/128, 5401/192, -205/128, -141/128, 27/32, -27/32, 
  15/128, 21/128, -1/32, -17/128, -93/128, -15/128, 1/32, 61/128, 1/128, 
  33/128, 27/32, -33/128, 15/128, 21/128, -17/32, -17/128, -49/128, -15/128, 
  17/32, 17/128, 1/128, -31/128, 27/32, 31/128, 11/128, -1/32, 15/128, 
  -15/128, 1/32, 17/128, 33/128, -33/128, -25/32, 25/32, -9/16, -7/32, 7/32, 
  -15/128, -9/64, -87/128, -1, -23/32, 1/4, 175/128, -31/64, -87/128, -23/32, 
  87/64, 23/32, 11/16, -23/32, -11/16, -23/32, 11/16, -1/16, -1/64, -23/128, 
  -37/32, 119/64, 11/16, -11/16, -23/32, 11/16, -1, -33/64, 5/128, -37/32, 
  73/64, 1/36, 71/36, 1/72, 16457/576, -1/24, -23/128, -1/16, 1/8, -31/128, 
  1/16, -3/8, 23/128, 45/128, -1/8, -157/128, -107/128, 39/128, -31/64, -1/8, 
  -25/64, -107/128, 1/8, -37/64, -1/8, 15/64, -107/64, 31/64, 51/32, -3/4, 
  1/4, -25/32, 1, -5/64, 11/64, -15/64, -7/64, 81/128, -3/8, -65/64, -1/4, 
  -117/128, -3/16, -1/16, 7/64, -15/32, 17/64, 25/32, -9/32, -1/4, -21/64, 
  -1/4, 9/64, 1, 13/32, 5/32, 15/32, -3/64, 5/64, -103/128, 9/32, 1/2, 9/32, 
  37/32, -207/128, 9/16, -1/8, 103/32, 97/64, -19/4, -509/64, -15/128, 1/16, 
  -29/32, -9/16, 3/4, 15/32, -1/4, 33/32, -3/4, -15/32, -7/32, 17/128, 
  -141/64, 105/128, 105/128, -7/8, -15/64, 3/128, 39/16, -3/32, -27/32, 
  27/32, 23/32, -23/32, -1/16, -77/128, -5/32, -27/128, 33/32, -3/4, 1/16, 
  -15/32, -7/32, 261/128, 125/64, -105/128, 39/16, 27/32, -1/36, -71/36, 1/8, 
  33/32, -385/384, -53/128, -7/16, -5419/192, -1/8, -19/64, 105/128, 
  -205/128, -3/32, -233/128, 7/64, -5/64, 223/128, -83/64, -1/2, 481/128, 
  13/64, -403/128, -31/16, -247/128, 121/64, 225/64, -353/128, -509/64, 
  -15/128, -71/64, -49/128, 41/32, 1/2, 57/32, 5/64, -59/64, 1, -125/128, 
  -5/4, 249/128, 95/32, -7/64, -31/64, 5/64, 25/64, -2837/128, -9/32, -35/32, 
  43/16, 31/64, 67/64, -1545/128, 2361/128, -7/8, -15/128, -35/128, 3/64, 
  17/128, 35/128, -1/2, 15/128, -21/64, 79/128, 431/128, -3/64, -97/64, 
  297/128, 509/64, 15/128, 71/64, -79/128, -41/32, 1/2, -57/32, -5/64, 
  123/64, -1, -3/128, 3/2, -377/128, -127/32, 7/64, 1231/128, -3/64, 193/128, 
  1065/128, -11/32, 7/4, -1231/128, -1927/64, 417/64, 847/128, 997/32, 25/32, 
  -27/8, -3/32, 33/16, 7/16, -27/32, 77/32, -27/32, -7/16, -5165/288, 
  -35/288, -301/128, 1379/576, 51/32, -179/128, -71/36, -1/24, 4961/96, 
  -175/8, -2123/96, -15/8, -311/144, 27/16, 89/288, -27/16, -3/2, 8311/384, 
  175/144, -2473/128, -22321/288, -23603/384}}
