{{1, -5/6, -2/3, -5/6, -2, 1, 0, 0, 0, -1, -5/2, 2, -1/6, -5/3, -2, 1, -2, 2, 
  0, 0, 0, 0, 0, -1, -5/2, 1, 2/3, -5/6, 0, 2, -3, 1, 0, 0, -5/6, 0, 1/6, 0, 
  1, -1, 0, -1, 0, 1, 13/12, 1/12, -1, -1, 0, 0, 0, 11/4, 1/12, -5/2, -1, 
  7/12, -5/12, 0, 0, 11/12, -1/2, 5/12, -11/12, 0, -11/12, 1/2, 0, 0, 9/4, 
  -5/12, -5/12, 5/12, 0, 11/12, 11/12, -2, -1, -11/12, 0, -11/12, 1/2, -1/2, 
  -23/12, 23/12, 1/2, 41/12, -23/12, -3/2, -5/6, 9/8, 1/24, -7/24, -7/24, 0, 
  0, -5/24, 0, 11/24, -1/4, 13/24, 0, 0, 0, 7/12, 7/24, 0, 0, 0, -1, -2/3, 
  -5/3, -5/24, 7/12, 5/12, -1/6, -1/6, 5/24, 1/6, 0, 1, 47/24, 9/4, 17/24, 
  -1/8, 1/24, -13/24, -5/24, 1/24, -1/6, -7/6, -7/12, -13/24, -1/12, -1/12, 
  1/6, 0, -2/3, -5/6, -5/24, -5/12, 5/12, -1/6, 5/24, 0, 0, 11/24, 47/24, 
  9/8, 0, 5/12, 1/24, 3/8, -5/24, 0, 0, -7/6, -7/24, -7/6, -1/12, 5/24, 1/6, 
  1/2, -1/4, 29/24, -1, -25/8, 13/12, 13/24, -1/2, -1/2, -95/24, 1, 35/8, 
  -3/4, 1/4, 4, -23/24, -5/4, -15/4, 19/8, -1/6, -1/48, 137/48, 7/3, 0, -1/8, 
  1/2, -25/12, -11/4, 0, 23/48, -1/24, -25/24, 0, -7/16, -13/24, 0, 0, 0, 
  -15/8, -47/8, -11/8, 0, -13/48, 15/16, 63/16, -1/48, -7/48, 1, 1/48, 7/12, 
  0, 1/6, 145/48, 7/3, 0, 1/12, -17/12, 1/24, 1/16, -1/24, -1/4, -25/24, 
  7/48, -1/48, 1/12, 0, 1/48, -11/8, 0, 1/8, -25/48, 0, -13/48, 0, -1/48, 
  7/3, 0, -1/8, 11/16, 0, 7/24, 0, 0, -25/24, -1/6, -1/48, 1/12, 0, -5/24, 
  -1/12, 29/48, 11/24, -1/4, -31/48, 17/48, 67/48, -29/48, 0, -5/24, 0, 0, 
  -1/12, -85/48, 2/3, 163/48, 37/48, 0, 0, -5/24, 157/48, 31/16, 7/24, 1/2, 
  1/48, -15/8, 0, 19/16, 0, 0, 0, -1/12, -1/48, -25/48, 7/3, -11/24, 31/24, 
  -11/4, -1/12, 43/48, -25/24, 0, -13/24, 0, 13/24, -281/48, -11/4, 0, 29/48, 
  -41/48, 41/12, 0, -49/48, 35/48, 1/12, 7/12, 0, -1/12, 3, 14/3, 0, -1/16, 
  -35/48, -5/16, 17/48, -1/24, -1/4, -25/12, 1/12, -1/48, -1/24, 1/6, -5/12, 
  -7/3, -55/48, 11/12, 31/48, 41/24, -31/16, -5/48, 9/16, 13/8, -29/48, 2/3, 
  33/8, 67/48, -37/8, -55/48, -31/12, 235/48, 9/16, 35/12, 13/24, -31/12, 
  -7/8, 187/24, 19/8, -17/12, 29/24, 9/8, -115/24, 17/16, 1, 0, 0, 1/12, 
  -11/96, 15/16, 0, 1/16, -37/96, 67/48, 0, -13/48, 35/48, 0, 13/48, 0, 0, 0, 
  -1/12, -49/32, 0, -1/96, -181/96, 7/96, -1/2, -7/48, 0, 61/96, 0, 23/32, 
  5/48, -1/24, -1/24, 0, -1/8, -65/24, -167/48, -5/48, -39/32, -167/48, 
  -185/24, -5/48, -17/24, 419/96, -8, 1/3, 19/6, -611/96, 1/16, -55/24, 
  -43/96, 11/48, 83/48, 33/8, 637/96, 11/48, 103/96, 13/4, 881/96, -21/32, 
  -209/96, 107/48, 1/24, 37/32, 7/48, -31/96, -269/96, -421/96, -31/96, 
  -45/32, -263/96, 71/48, 151/96, -61/96, -11/32, 13/16, -11/32, 7/16, -5/12, 
  7/16, 7/16, 0, -25/96, 859/96, 143/16, 5/48, 19/24, 45/16, 93/8, -5/24, 
  -649/96, 935/96, -71/32, 637/96, 21/8, -11/48, -47/24, -113/24, -201/16, 
  41/96, 431/96, -203/32, 55/24, -7/12, -11/24, 31/96, 31/8, 511/96, -43/96, 
  -35/8, -77/32, 11/32, -155/96, -37/96, -7/16, 0, 1/2, -839/96, -857/96, 0, 
  1/6, -449/96, 409/96, -37/12, -69/16, 11/48, -11/48, 451/48, -245/96, 
  71/96, -175/96, -33/32, -27/32, 25/8, 77/96, -1/8, 63/16, 127/32, -77/48, 
  -5/3, 157/96, 7/32, -127/32, 157/96, -3/32, -1/2, -1/2, 1/2, 1/2, -1/48, 
  11/8, 0, -1/8, 13/24, -11/8, 0, 19/48, -25/48, 0, -13/48, 0, 0, -91/96, 
  -11/16, 0, -3/32, -31/32, -11/8, 0, 1/24, -5/16, -25/48, 0, -19/96, -13/48, 
  0, 0, 1/12, 23/48, 0, 19/16, 7/3, 0, 31/96, 11/16, 1/96, 7/24, 0, -1/24, 
  -1/8, -25/24, -1/6, -1/48, 1/12, -245/48, -167/24, 5/48, -91/24, -31/48, 
  -81/8, 23/32, -197/96, 7/8, -1/96, -43/48, -11/48, 115/12, 865/48, 235/96, 
  649/48, 23/32, -13/16, 3/32, -97/16, -1711/96, 85/24, -541/96, 45/32, 2/3, 
  49/48, 359/48, -7/4, 65/48, -3/32, -11/96, -97/96, -7/16, 0, 881/48, 143/8, 
  3/16, 509/48, 179/96, 1637/96, -101/12, -17/32, 21/4, -11/24, -1397/96, 
  -199/6, -299/32, -803/96, 281/48, 17/24, 397/96, 617/32, -61/24, -3/32, 
  -85/96, -21/4, 89/96, 61/96, -1/8, -931/48, -857/48, -37/16, -93/16, 
  665/48, -11/6, -69/8, 73/96, 163/24, 1195/48, 21/16, -241/24, -57/32, 
  -257/32, 341/96, 55/48, -15/16, 119/16, 127/16, -221/48, -10/3, 157/48, 
  27/32, -9, 37/6, 3/32, -1/2, -1, 1, 1/2, 1/96, -11/16, 0, 1/16, -23/96, 
  -11/8, 0, -1/96, -25/48, 0, -13/48, 0, 0, 23/48, 1/16, 7/3, 0, -11/96, 
  11/16, 0, 7/24, 0, -1/24, 0, -25/24, -1/6, -1/48, 1/12, 0, -7/48, -41/16, 
  -167/24, -53/48, 35/12, -107/24, -5/24, 95/24, -33/4, 11/48, -89/32, 29/48, 
  0, 43/24, 215/48, 865/48, -5/48, -11/48, -439/96, 385/96, 11/48, -307/96, 
  929/96, 7/96, 77/48, -7/48, 11/48, -59/48, -233/96, -1711/96, 13/16, 
  277/96, 223/96, -5/96, -79/16, -59/96, 13/96, 7/96, 359/48, 5/24, -55/32, 
  109/48, -17/32, -11/96, -71/96, -7/16, 0, -1/4, 32/3, 143/8, 0, 53/48, 
  -163/24, 167/16, -5/48, -215/48, 1607/96, 0, 95/96, 0, -37/24, -61/24, 
  -197/6, 29/24, 791/96, -343/48, -41/32, -1229/96, 1/3, 37/48, -31/16, 
  223/12, -85/96, -287/96, 105/16, -19/32, -153/32, 1/2, 35/96, 3/8, -265/24, 
  -857/48, 0, 59/16, -325/48, 0, -649/96, -11/96, -77/48, 1133/48, 13/32, 
  181/32, 143/48, 2/3, -217/32, -33/32, 21/32, 77/16, 127/16, 7/48, 1/16, 1, 
  -135/16, -5/2, 1/16, -1, 1, 1/96, -11/16, 0, 1/16, -25/96, 0, -13/96, 0, 0, 
  23/48, 1/12, 1/96, -1/24, 0, -7/96, -41/32, -167/48, -53/96, 35/24, 
  -107/48, -5/48, 95/48, -33/8, 11/96, -89/64, 29/96, 83/96, 7/6, 637/96, 
  -25/64, -247/192, -15/64, 1/3, -5/48, -29/48, 185/96, -15/16, 1/3, 25/96, 
  35/96, 1/16, -59/192, -43/96, -11/48, -173/192, -421/96, 11/48, 191/192, 
  207/64, -85/96, -7/192, -47/48, 257/192, 11/96, -35/48, -5/48, 3/32, 13/16, 
  -3/32, -89/64, 5/6, 145/192, 3/64, 101/192, 7/16, -7/16, -13/96, -41/96, 0, 
  -1/8, 16/3, 143/16, 53/96, -163/48, 167/32, -215/96, 1607/192, 95/192, 
  -83/96, 11/32, -1069/96, 139/192, 199/64, 1/96, 1/12, -13/96, -27/8, 5/32, 
  -79/32, -73/96, 21/8, 59/192, 227/96, -11/12, -961/192, -13/192, 475/192, 
  493/192, 77/48, 55/192, 7/192, -31/64, -69/32, 41/96, 3/16, -265/48, 
  -857/96, 59/32, -325/96, -649/192, -191/96, 173/24, -29/32, 259/192, 23/48, 
  583/96, 473/192, -69/16, 115/96, -7/64, -153/64, -73/16, 311/192, 77/32, 
  127/32, 1/32, -47/16, -81/32, -163/96, 157/96, 49/16, -1/2, 1/2, 0, 0, 0, 
  -1, -2, 1, 2, 0, 0, 0, 0, 5/6, -1/6, -5/12, -7/2, 5/12, 1/2, -7/12, 3/2, 
  -1, 1, 0, -1, 1, 5/6, 2/3, -1/6, 1/3, 0, 0, 5/6, 1, 7/3, -1/6, -20/3, 
  -16/3, 4/3, -5/2, 41/6, -13/3, 1/3, -14/3, 13/3, -1, -1, -3, 2, 3, 32/3, 
  -11/16, -43/16, -52/3, 2, 20/3, 11/3, -11/3, -43/16, -52/3, 11/3, 137/32, 
  415/12, -85/32, 15/2, -10/3, 43/32, 25/2, -11/6, -13/6, 45/8, 535/12, -4, 
  -1/3, -31/6, 43/32, 43/3, -11/6, 43/32, 17/3, -11/6, 13/6, -11/12, 7/4, 
  1/2, 1/6, -3/2, -1/2, 11/12, 0, 0, 0, 0, 10/3, 5/6, 1/3, 0, 0, 0, 0, 0, 
  -5/12, -1/2, 11/12, -5/12, 1/6, -2/3, -5/6, 1, 0, 1, 1, 2, -5/3, -3, -13/6, 
  1/2, 1, -2, -25/12, -43/32, 11/6, -7, 0, 0, 0, -5/12, 1/12, 0, -5/6, 0, 
  -11/6, 1, 0, 2087/72, 483/8, 835/24, 185/72, 133/18, 851/72, 241/72, -3/4, 
  -4/3, 0, -8/3, 4153/144, -5/24, 955/36, 0, 19/9, 55/24, -25/12, -103/72, 
  -47/72, 5/72, 65/36, 2/3, 5/4, 0, 0, 0, 0, 0, 0, -10/3, 2/3, -1, -1/12, 
  -5/12, 0, 0, 0, 0, 0, 5/12, -5/12, 1/12, -13/3, -5, -2/3, 9, -9, 15, 12, 
  -19, 5/6, -1/6, 2, 29/12, -23/12, 1/2, 3, 25/4, -29/12, -89/12, 17/12, 
  -3/2, -8, 2, 23/6, -7/32, -263/24, 0, 7/32, 0, 263/24, -89/48, -11753/144, 
  625/24, -5639/72, -197/36, 229/48, 2309/144, 685/72, -7/4, -35/12, -6, 1/3, 
  0, -77/8, -4883/288, -89/48, -5/8, -19/2, -580/9, 7/4, -2407/72, 0, 27/4, 
  73/24, 229/48, 547/48, 7367/576, -359/48, -3, -35/12, -23/6, 1/3, 1389/16, 
  5197/36, 5975/144, 1775/72, 103/6, -217/9, 19/18, 8/3, -15/8, 1/6, 0, 4, 
  -5/18, 260/3, 5/12, -1301/24, 865/8, -1/4, 4051/72, 0, -11/12, 25/6, 88/9, 
  55/24, -2887/72, -59/12, 1/6, 41/12, -17/24, 1/6, 43/18, 25/6, 1/6, 
  -801/16, 21/8, 265/12, 0, 0, -182/9, 0, 623/36, 1/3, 53/18, -1073/24, 3/2, 
  467/36, 251/9, 19/12, 0, 0, 0, 0, 0, 0, 61/12, -41/8, -37/8, -3, 101/36, 
  91/72, 31/12, 35/24, -1/6, 0, 11/9, 107/36, 5/12, -61/12, 19/24, 0, -11/12, 
  -169/72, -5/12, 34/9, -19/24, 11/12, 23/12, -11/24, -1/6, -5/2, 35/12, 
  -11/12, 5/2, -4/3, 1, 1/2, -17/12, -3/2, 0, 0, 0, 0, 0, 11/6, 0, 0, 0, 
  -11/12, 1/12, -1, 1/12, 1/3, 5/6, -1/2, 1/2, -23/12, 1/12, -1, 13/6, 41/12, 
  -1, -13/12, 11/6, -3/2, -1/2, -5, 1/12, 35/12, -53/4, -203/12, -22/3, 53/4, 
  15, -38, -26, -19, 38, 0, -187/24, -649/48, -89/24, -4405/48, -23011/192, 
  -43055/288, 2023/12, -193/64, -6359/144, 103/12, 317/24, 229/24, 683/48, 
  11521/576, 905/144, -53/12, -35/6, -12, 2/3, 43/9, -4691/192, -191/12, 
  671/96, 4, 13/6, -2447/32, 151/6, -33/4, 471/16, 0, 13/8, -43/18, -11/6, 
  -25/6, -1/6, 1467/16, 9581/192, -91/24, -3175/24, 0, 0, 0, 0, 0, 0, 0, 
  -22/9, -149/18, 5/6, 61/6, -19/12, 0, 11/3, 55/18, -5/24, -715/72, 19/12, 
  -11/8, 277/72, 5/12, 85/24, 1/4, -5/3, -9/2, -31/12, -1/12, 4/3, 17/12, 
  -9/4, 1, 5/4, 5/12, 5/24, 0, -11/12, -5/24, 35/24, -7/6, 13/24, -1/12, 
  5/12, 0, -5/8, 1/12, 7/3, -55/24, 13/12, -1, -11/6, 5/3, 11/24, 1/16, 
  -1/12, -45/16, -1/16, 7/48, 0, -7/64, -1097/192, 7/48, 11/64, 16/3, 
  -499/96, 8/3, -7/64, 0, 0, -7/64, 263/48, -263/48, -263/48, 23/16, 3175/48, 
  6871/144, -1145/72, 1351/144, 153/8, 4465/144, -1205/144, 95/24, 1805/144, 
  3193/144, 179/36, 13/24, -17/24, 0, 27/8, 9757/288, 23/16, 5/16, 1255/36, 
  4705/144, -29/24, 1865/144, 0, 0, 0, 0, 0, -8881/432, -2579/432, -3851/216, 
  7/3, 4925/216, 5755/216, 19291/432, -271/48, -38/9, -713/48, -3703/144, 
  7/8, -7/8, 0, 5/48, 11/144, -1/18, 9/16, 0, 0, 13/12, -11/24, -13/12, 0, 0, 
  0, 0, -5/24, -1/6, 1/24, 0, 5/24, 0, 0, -1/4, 1/24, -11/24, -2/3, -29/24, 
  0, 0, 0, -13/24, -3/2, -7/24, 5/24, 0, -5/12, 0, 0, 0, 0, 7/12, 7/3, -10/3, 
  1/3, -9, -77/12, 41/24, -19/24, 23/8, 5/8, -1/2, 1/2, 1/12, 1/4, 1/4, -5/4, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17/4, 0, -23/6, 1/3, 1/24, -7/24, -5/8, 
  -5/24, 2/3, 55/24, 39/8, -1/8, 0, 1/6, -11/8, -1/12, 4/3, 1/4, 3, -13/6, 
  13/8, 5/24, -1/4, -1/4, -55/24, 53/24, 137/24, 1/4, 5/4, 49/24, 3/8, -1/6, 
  -7/6, 5/3, 11/6, 2/3, 25/4, 139/12, 9/2, -9/8, 29/8, 5/8, -14/3, -81/4, 
  -49/4, 122/3, 163/24, 317/8, 395/8, -225/8, 177/4, 135/2, -195/8, -13/8, 
  -47/12, 13/12, -73/12, -13/24, -47/24, 1/8, -49/24, -35/4, -85/12, -241/24, 
  11/8, -11/8, 17/24, -23/6, 49/12, -17/24, 487/24, 51/4, -125/8, -1319/24, 
  -163/24, -71/3, 143/12, -721/24, 99/4, -143/12, -161/4, 559/24, -371/8, 
  195/8, -559/24, 0, 0, -5/3, 4/3, -25/12, 35/24, 5/4, -61/24, 0, 15/8, 27/4, 
  -5/4, 89/24, -1/6, -1/6, -29/12, -59/24, -13/8, 1/6, -7/4, 4/3, 157/24, 
  329/24, 17/6, -59/12, -64/3, 9/8, -1/24, -13/24, 125/8, 95/24, -133/3, 
  -65/24, 113/8, -1/6, -3, 421/24, -13/8, -2, 0, -337/432, 0, 11/36, -23/8, 
  3143/144, 1949/48, -69/16, -75/8, -18823/288, -253/6, -3881/96, -17057/144, 
  -4597/288, 277/4, 5885/72, -4999/288, 0, 139/6, 1967/72, 88/3, -763/288, 
  -7157/288, -1111/48, -4591/288, -307/72, -1/4, -43/48, -65/8, -41/96, 
  1703/288, 1/6, 0, 0, 31/8, 2125/144, 113/48, 0, 116/3, -51883/576, -47/12, 
  -1/48, -2641/16, 9295/576, 11/12, 12709/144, 0, 0, 97/6, 9/4, -11/8, 
  -5857/144, 7/32, 185/32, 5581/192, 43/288, 1/12, -95/48, -161/24, 21/32, 
  1199/288, 1/6, 0, -153/4, -1805/72, -13/12, -27239/384, -27557/576, 7/4, 
  -563/48, -1271/288, -4999/288, 0, -27/8, 811/216, 153/8, 0, 241/72, 
  1805/144, -1/6, 13/24, 15221/432, 18509/768, 0, -5689/192, -17213/432, 
  -15221/432, -36481/768, 0, 34705/2304, 7441/576, 0, -7441/576, 0, -27/8, 
  1439/144, 4859/96, 23/8, 0, 651/16, 27049/288, 985/12, -7/48, -11233/144, 
  -127/24, 11/24, 203/36, 0, 0, -1/3, 1205/144, 153/8, 8/3, 1553/72, 901/36, 
  -145/4, -3773/48, 479/18, 1/6, 3/8, 1805/144, -7/12, 3739/144, 145/18, 
  13/24, -13/24, -69/16, -3857/96, -4279/768, 153/8, 45113/288, 29105/768, 
  -7741/192, -997/32, 689/24, 28681/576, 487/48, 25333/1728, 841/16, 235/64, 
  16457/432, -29/8, 43/8, -1/6, -685/8, -374651/2304, 16667/768, 107885/768, 
  -73361/768, 73/16, -7927/1728, 2887/144, -955/32, -203/24, -6281/288, 
  140965/768, 6059/192, 2027/576, 2545/576, 0, 0, 0, 0, 0, 11/18, 4457/216, 
  7441/216, 0, 8/9, 2261/216, 1/3, -763/72, -1/2, 0, -11/24, -6793/216, 
  -13865/108, 0, -93/16, -13159/216, -1/12, 3865/144, 1/2, 0, 809/48, 
  18743/144, 149/48, 33427/432, -941/72, -1/12, -967/24, -53/2, 0, -11/8, 
  -5279/72, 5/16, 589/48, 0, 0, 77/48, 16099/144, -5/24, -199/16, 0, -11/72, 
  -883/24, 1/9, -9/8, 0, 0, 0, 9, 0, 0, 0, -9, 0, -18, 0, 18, 9, -9, 0, 5/48, 
  0, 11/144, -1/18, 9/16, 0, -5/48, 0, -33/16, 203/16, 145/4, 11/8, -589/48, 
  -16183/144, 2629/36, 0, 11/6, 7759/432, -8881/432, -5/24, -613/72, 
  -6437/432, 1/3, 565/144, 25/24, 0, -55/72, -1127/144, 4925/216, -5/48, 5/6, 
  10841/432, -1/16, -97/18, -25/24, -11/144, 53/24, -38/9, 14/9, -455/48, 
  17/9, -47/72, 7/8, -275/144, 9/16, 0, 145/96, -97/48, -29/12, -33/16, 
  89/16, 22, -79/12, -11911/144, 7, 1/8, -1/24, -9/8, 0, 5/12, -119/24, -12, 
  -59/8, -37/24, 11/16, 25/48, 6, 119/12, 73/24, -97/48, -1/12, -5/3, -5/4, 
  11/16, -31/24, 31/48, -9, 13/12, 49/3, 31/4, 23/6, -16/3, -127/24, 19/2, 
  -9/2, -6, 0, 0, 0, -47/12, -11/16, 11/16, 77/48, 4/3, -41/48, 29/48, 1/24, 
  -21/4, 355/48, -281/48, 19/48, 41/4, -589/48, 43/24, -21/4, 27/16, -1, 
  -109/24, 479/48, 14/3, 83/16, -29/16, -47/48, 29/48, 0, 0, -5/6, -11/2, 
  -109/24, 5/24, 57/8, -23/16, 41/8, -7/24, -143/48, 61/12, -11/24, 19/8, 
  205/24, 14/3, -1, -107/12, 11/4, -479/48, 23/24, -1/12, -257/48, -29/16, 
  103/48, 21/8, -11/12, 55/48, 29/48, -55/48, -5/24, 0, -2/3, 67/48, -15/16, 
  13/24, 0, 0, 31/12, -5/2, 47/48, 7/24, -9/8, 1/16, -1, 0, 0, 13/12, -11/24, 
  0, 0, -5/8, -1/24, 9/4, 0, -27/16, 0, 0, 0, 1/6, 1/24, 9/4, -223/24, 
  -211/24, 55/24, 199/48, 1/8, -23, 17/8, -5/12, 9/4, -163/48, -19/12, -71/8, 
  73/48, 1/2, -173/24, -1/6, 29/8, 43/24, 1/24, 29/48, -815/24, -23, 815/24, 
  -13/48, -103/12, 103/12, -9/16, -2, 2, -5/48, -2/3, 17/8, 5/16, -13/8, 
  -85/48, -37/12, -15/16, -41/8, 85/24, 0, 11/48, 53/48, 217/48, -163/48, 
  -5/48, -13/24, -7/2, 31/16, 283/48, 3/4, -13/16, -17/8, -85/24, 0, -77/24, 
  -289/48, 73/48, 13/24, 25/16, -23/24, -77/48, -47/24, 217/48, 1/24, 83/16, 
  -1/6, -11/6, 113/24, 31/24, -11/16, 1/24, 1/2, -35/24, 0, -25/8, 5/24, 
  -793/48, 29/48, -3169/48, -11/12, 5/3, -133/12, -2, 1207/24, -53/48, 79/16, 
  -317/48, 3/16, -61/12, 1/24, -13/4, 0, -83/6, -95/48, -439/16, 37/8, 
  167/48, -233/24, -1/12, -5/6, -149/48, 55/48, 89/24, 41/24, -107/12, 
  -187/24, -41/16, -1/24, -35/48, -3/4, -1/8, 115/24, -7/16, -1, 1/48, 29/6, 
  -11/24, 0, 19/8, -13/12, 1/6, 1/48, 5/24, -7/8, -3/4, 19/16, 11/48, -11/24, 
  31/96, -167/96, 217/48, -17/48, 31/48, -91/48, 149/24, -95/32, 11/16, 
  167/96, -103/32, -7/8, -47/48, -139/48, 19/6, 287/48, -1/8, -317/48, 
  127/16, -77/6, 221/48, -221/24, -299/48, 459/32, -613/96, -1/24, -141/32, 
  59/48, 175/48, -23, 521/16, -109/12, -57/16, 165/4, -607/16, -263/48, 
  -199/12, 259/48, 173/16, -451/48, -575/24, -43/2, 445/48, 171/16, -2, 2, 2, 
  325/96, 7/8, 371/48, 283/96, 5/24, -27/16, -71/32, -2/3, 433/192, 77/96, 
  -1/8, 203/192, 43/48, -367/48, -283/32, -11/24, -439/48, -1615/96, 7/96, 
  -623/192, -475/64, -13/8, -799/192, -35/24, 311/64, 937/96, 3/16, -67/48, 
  269/64, -179/96, 401/192, 53/32, -5/24, -215/48, 7/8, 317/192, 29/24, 
  13/16, -581/24, -937/48, -139/96, -13/8, -1541/48, -7/12, -155/64, 
  -1811/48, 3, -2441/192, -43/8, 251/16, 1091/32, 13/6, -2911/192, -191/96, 
  -145/32, 41/12, 87/16, -25/4, -1007/48, -9/32, 2381/192, 145/48, 287/48, 
  -17/24, 11/16, 585/32, 805/48, 5/3, -453/16, 125/48, -331/24, -647/96, 
  21/4, -47/24, -29/24, -1079/48, 235/96, 125/6, 347/24, 17/8, 1/12, -529/96, 
  -41/48, 29/48, -379/96, -11/2, 463/48, 61/96, 113/24, -67/48, 355/96, 
  -233/24, 19/24, 1, 0, -1, -1, 0, -1/12, -251/48, 95/96, 0, -65/96, -35/48, 
  241/96, -21/32, 0, -43/48, 7/8, 209/96, -31/24, -277/192, -31/16, 1/6, 
  193/64, 9/8, 83/96, 45/8, 703/96, -27/32, 0, -89/64, 25/192, -143/24, 
  -17/8, -511/192, -603/64, 25/8, 103/192, -19/16, -277/192, -19/24, 299/96, 
  -1/8, 467/192, -1325/192, 125/24, -641/192, -199/48, -97/192, -251/48, 1/4, 
  155/192, -131/48, 13/12, -1/8, -139/96, -3/16, -323/96, -143/16, -143/16, 
  139/96, -253/96, 1595/96, -505/48, -5/8, -217/192, -83/8, 26/3, -2573/192, 
  -575/48, 149/32, 141/32, 851/32, 223/6, -523/96, -75/64, -219/16, 1469/96, 
  -1115/48, -139/8, -415/96, -575/48, -821/24, 131/32, 21/64, -635/96, 71/96, 
  823/96, -3/32, 3/8, 121/48, -29/6, 601/32, 425/16, -147/16, -13/32, 985/32, 
  1261/48, 257/32, -23/6, -377/96, 19/12, -1141/32, 2329/96, -503/32, -58/3, 
  5/48, 7/2, -1421/96, 125/96, 257/48, -1235/96, -99/16, 667/48, 1199/96, 
  -77/4, -233/24, 1469/96, -169/12, 209/48, 3, 1, 0, 1/16, -55/96, 5/24, 
  29/96, -157/96, 55/96, -41/96, 57/32, 151/96, -349/192, -25/12, 391/192, 
  -11/24, -11/96, 863/96, -27/32, 0, 53/96, 595/192, -49/8, 0, -29/32, 
  -1121/192, 0, -161/192, -29/32, -11/4, 299/96, 0, 8/3, -171/64, 17/12, 
  -349/192, 27/16, 69/64, -251/48, 17/48, -27/64, -133/48, 13/12, -17/48, 
  -139/96, 119/96, 73/24, -47/6, -5/12, 1/16, 155/12, -835/48, 25/16, 
  2555/192, -40/3, 11/8, -1129/64, -5/4, 227/96, 145/24, 271/96, 491/16, 
  -37/24, 215/96, -81/32, -13/24, -167/12, 13/6, -191/48, -527/192, -92/3, 
  589/96, -443/192, -151/12, 13/96, 283/32, -83/96, 0, 73/96, 131/32, 201/32, 
  1127/48, 1/48, 439/96, 3829/96, -233/48, 487/96, 347/48, -49/16, 887/96, 
  -1615/48, 491/32, -343/24, -467/16, 0, 341/96, -1327/96, 97/32, -137/48, 
  43/96, -307/24, 317/24, 215/48, -1487/48, -479/96, 95/16, -415/24, 899/96, 
  -103/24, -9/8, -93/16, 221/48, 1, -35/96, -11, -153/32, 1/6, 1/96, -53/144, 
  -11/18, 7/48, 251/288, 0, 100295/6912, 359/64, 21619/2304, -29/24, 
  -29423/768, 275/8, 4625/192, -3569/288, -3077/192, 3, 35209/1728, 
  -88021/2304, 12557/768, 283/48, 108721/2304, -4849/256, -1749/64, 2663/288, 
  907/96, -3, 9073/384, -67631/2304, -195/32, 18157/2304, -4777/288, 
  3287/576, 1969/256, -5863/576, 327/16, 6577/576, 0, 337/864, 0, -11/72, 
  -1/48, 71/48, -3935/288, -1949/96, 0, 25/8, -1769/192, 1205/24, 173/8, 0, 
  4153/576, 44681/576, 277/24, 1/4, -2573/64, -382/9, 0, 3593/288, -1/12, 0, 
  -155/16, -1769/144, 0, -1559/72, 1795/72, 4775/144, -733/192, 7345/288, 
  1097/64, -4561/288, -13853/576, 1979/192, -1/24, -49/96, -1/16, 11665/576, 
  7157/576, 7829/576, 71/18, -163/576, 1/48, 65/192, -97/72, 0, -73/32, 
  43231/1728, -12367/432, 3161/864, 2939389/13824, 1166387/4608, 37633/384, 
  353/24, -11/24, 2285/144, -80131/1728, -96335/1728, -8177/288, 6487/128, 
  26555/1152, 47/24, -4541/576, 4517/576, -3119/64, -6457/576, -59/48, 
  -1025/192, 25/24, -71/48, -187/96, 2639/144, -17603/192, -169331/1536, 
  -170527/1152, -843605/4608, -753/16, 4003/192, -3541/64, 54613/576, 
  5269/576, -329/48, -13259/576, 22543/576, 17/4, 749/144, -4213/192, 
  5779/288, 44609/1536, -179471/4608, 2041/128, 35/36, -9461/384, 13739/1152, 
  13483/576, 821/24, -18385/1152, 8785/1152, -385/12, 2, 0, -31/16, 
  -2125/288, -113/96, 0, -19, 8671/144, 5/2, 1/16, 10009/96, -221/48, -19/24, 
  -6985/144, 0, 0, -389/48, 1/4, 0, 149/96, 23893/576, 3/2, 0, 19841/576, 
  -3067/144, -5/24, -6967/288, -1/12, -1/24, 1/32, 0, 4733/288, -125/192, 
  167/192, -3377/192, 437/576, 5/48, -13/64, -17/36, 0, 31/16, 319/18, 
  -150019/3456, 3161/864, 5/24, 629/16, -12437/128, 1066517/4608, -25/96, 
  -2275/16, 64579/576, -103/96, 7015/36, 13/16, -11/24, -139/96, 
  -108817/1728, -63287/1728, -425/32, -74831/576, -204151/4608, 10285/192, 
  70423/288, -23389/288, 43/16, -1117/288, 11737/576, 53, -3663/128, 
  -46573/1152, -25/24, -307/64, 131/16, -71/48, 0, -241/32, -4855/192, 
  -1380839/13824, -7/8, 51619/384, 95743/4608, -967/192, -1190293/4608, 
  1325/192, 701/48, 8119/576, 221785/1536, -38273/192, -1228189/4608, 
  153829/512, -3991/64, 41293/1152, 4717/288, -203/72, -1/4, 1433/128, 
  61763/1536, 1313/192, -26927/384, -1919/96, 27907/192, 480109/4608, 
  -99861/512, 15151/384, -1, -54523/4608, -979/384, -1279/72, 9169/1152, 0, 
  0, 1/24, 11/72, -109/96, 5/8, 1321/432, 1/12, -37/48, 0, -5/96, 59/96, 
  -31/48, 11/96, 199/32, -443/72, -3307/864, -19/144, 8891/864, 0, 5/96, 
  -19/48, 11/48, 631/144, -1621/96, -32327/864, 36343/864, 6299/144, 11/144, 
  -115/32, -5243/216, 79957/864, 2129/48, 4981/144, 7441/432, 0, 0, -1/48, 0, 
  -11/144, 109/192, -5/16, -1321/864, -1/24, 37/96, 0, 1/12, -1/48, -19/16, 
  15/8, 0, -37/16, -8575/432, 0, -173/72, -12401/432, -6307/432, -1/12, 
  1037/144, -1/12, 0, 619/144, 1/4, 0, 11/144, 4171/864, 2183/54, 25/32, 0, 
  593/288, 92117/1728, 14021/192, 1/48, -635/144, 21727/864, 1/24, -1927/144, 
  -1/4, 11/144, 1231/864, -10883/576, -833/192, -109/192, -17429/576, 
  -142553/1728, -41/32, -32623/864, 941/144, 1255/864, -7/96, 493/192, 
  125/192, 1979/72, 623/48, -827/432, -1/6, -1/24, 37/96, 0, 15193/288, 
  55/96, 119641/864, -161/192, 18089/432, -379/192, -5671/288, 191/96, 
  -385/288, -45071/864, 3463/576, -106607/576, -393/64, -143603/1728, 
  2173/144, -3221/864, 2089/144, 8641/576, 7103/108, 2489/144, 7169/432, 
  5429/1728, -44729/1728, -4459/432, 11/48, -739/24, 609/64, 16649/432, 
  -1187/192, 14141/216, -351/64, -27875/576, 7307/432, -100/9, -17707/432, 
  -17261/864, 8023/72, 259/216, -7577/1728, -12371/192, -17603/864, -67/48, 
  182221/1728, 38545/864, -1093/288, -7585/576, 5821/864, -69937/576, 
  55873/1728, 7417/216, 37/4, -11/12, -8281/216, -2, 0, 11/16, 26267/864, 
  25/32, -5/48, -1277/288, 79589/1728, -7/48, -62/9, 0, 0, -11/144, -1027/72, 
  -833/192, 0, -839/576, -125663/1728, 1/12, 379/48, 0, -11/144, -1/2, 
  493/192, 371/576, 7391/288, -47/144, -1321/864, -1/6, 25/48, 37/96, 0, 0, 
  -251/32, 341/16, 0, 1049/192, 2999/32, 5/64, -1137/64, 19/32, 0, 517/192, 
  -15071/576, -7901/288, 35/96, 1745/288, -230095/1728, -31/48, 2291/576, 
  -17/48, -143/288, 2183/864, 7769/576, -285/64, 22421/864, 145/32, 3367/864, 
  9137/1728, -2963/288, -8783/864, 0, 0, 11/32, -887/16, 0, -261/64, -407/8, 
  -5/64, 741/32, 19/96, -231/64, -3113/192, 4729/96, -229/36, 11591/108, 
  7571/576, 14135/288, -16067/576, -142777/1728, -60475/864, 6, 459/8, 
  -443/288, -9115/96, 115/64, 143/4, -877/16, -461/27, 14819/576, 3/2, -93/4, 
  -155/9, -18101/864, 0, -7/48, -41/16, -167/24, -53/48, 49/16, -91/48, 
  167/24, -5/24, 81/16, -67/6, 107/24, 7/16, -647/96, 33/4, 3/8, 89/32, 
  -29/48, 83/48, 119/48, 95/6, 167/24, -25/48, -77/24, -147/32, -141/16, 
  -2/3, 217/48, 243/32, 49/24, -299/96, -71/48, -11/24, -113/32, -533/48, 
  -637/48, 455/96, 1433/96, 273/32, -1463/192, -245/16, 965/192, 31/48, 
  329/96, 421/48, -929/192, -25/2, 139/24, 11/16, -13/8, 1/64, -7/8, 0, -1/4, 
  32/3, 143/8, 53/48, -157/24, -11/48, -143/8, -67/12, 753/32, -167/16, 
  175/32, -1607/96, -95/96, -83/48, 15/16, -527/16, -143/8, 71/6, -1021/96, 
  395/96, 75/32, 97/24, 1069/48, 9/8, 461/96, -1/24, -227/48, -9/16, -55/96, 
  3/8, -265/24, -857/48, 53/16, 205/48, 857/48, -1003/96, 325/48, 649/96, 
  -209/48, 611/24, 857/48, -367/48, 677/96, 51/8, -173/12, -101/48, -115/48, 
  77/16, 127/16, -19/4, -127/16, -1/16, -171/16, -127/16, 93/16, 47/8, -1, 1, 
  1, 0, 7/48, 41/16, 167/24, 0, 0, 21/16, 233/96, 99/8, -5/24, 47/32, 
  -661/96, 1465/96, -11/96, -631/96, 197/16, 545/192, 159/32, -527/192, 
  -83/48, -7/3, -637/48, 11/96, -55/96, -695/96, -475/32, 13/12, -185/192, 
  -163/96, 355/96, 97/192, -369/64, 11/24, 173/96, 421/48, 41/32, 1/32, 
  385/96, -1315/192, -115/96, 535/96, -3/16, -13/8, -155/96, -505/192, 29/8, 
  -7/8, -37/96, 0, 1/4, -635/48, -143/8, 37/32, -377/96, 1069/48, -47/96, 
  -227/48, -55/96, 0, -3/8, 803/48, 857/48, 55/96, 137/16, -815/48, -67/96, 
  -541/96, 1/8, 0, -135/16, -127/16, -43/32, 9, 43/32, 1/2, 1, -1/2, 0, 0, 
  -1/48, 1/24, 7/24, 0, 0, 7/4, -673/96, 5/8, 5/16, 43/32, -1007/96, 307/96, 
  -7/32, -67/32, 683/96, -457/192, 5/48, 137/64, 11/32, 11/32, -11/32, 7/12, 
  -7/48, -107/96, -13/12, 653/96, -8/3, 1/6, 2009/192, -139/24, -89/32, 
  -2189/192, 345/64, -65/48, -2/3, 9/32, -9/32, 67/16, 101/12, 97/24, 
  -179/96, -235/24, 7/192, 65/48, -31/32, 1/24, -331/192, -339/64, 107/96, 
  -1/48, 31/48, -45/64, -31/96, 0, 1/8, 43/6, -43/12, 13/48, -175/24, 
  -733/48, -523/16, -115/24, 291/8, -1921/96, 1183/96, -2831/96, -473/96, 
  -7/12, 129/32, -101/48, 109/48, -131/48, -93/32, 1777/48, -83/12, -355/24, 
  557/96, 35/96, -167/24, -47/96, 611/96, -605/96, 1141/96, 203/96, 13/4, 
  -133/48, -91/48, 3/8, -503/48, 253/48, 13/3, 583/48, 1585/48, -2935/96, 
  335/48, 1621/96, -587/96, 851/96, -101/24, 367/48, -2939/96, 2015/96, 
  937/96, 13/48, -97/12, -193/48, 93/16, -3/8, 173/24, -545/48, -17/2, -89/8, 
  7/8, -347/96, 85/16, -1/2, 0, 1/48, -31/16, -7/48, 0, 25/96, -21/32, 1/16, 
  -5/48, -37/48, 55/12, 5/48, 11/8, 0, -11/32, 7/6, -9/32, -1/32, 79/32, 
  259/32, -1/24, -1355/192, -7/8, 97/96, -5/48, 1/24, -109/48, -523/64, 
  225/64, -11/32, 31/48, 29/64, -31/96, 0, 7/48, 41/16, 167/24, 0, 53/48, 
  -35/12, 107/24, 5/16, -95/24, 33/4, -1/8, 89/32, -29/48, 0, -89/48, 
  -373/48, -217/16, -157/96, 39/32, -341/96, 5, -467/24, -137/32, 37/32, 9/8, 
  34/3, 5/16, -23/6, 597/64, -1/96, -67/96, -175/64, -211/96, 0, 1/4, -32/3, 
  -143/8, -53/48, 163/24, -167/16, 215/48, -1607/96, -95/96, 65/48, 181/24, 
  181/8, -13/6, 437/96, 1535/96, 335/96, -319/32, -41/12, -109/32, -3/8, 
  265/24, 857/48, -23/6, 325/48, 635/96, -71/48, -97/6, -19/12, 125/32, 
  -77/16, -127/16, -1/16, 43/8, 1, 0, 7/48, 41/16, 167/24, 53/48, -49/16, 
  91/48, -167/24, 5/24, -81/16, 67/6, -107/24, -7/16, 647/96, -33/4, -3/8, 
  -89/32, 29/48, -83/48, -7/3, -637/48, 25/32, 209/48, 565/96, 69/4, 0, 9/8, 
  -737/96, 391/96, 5/24, -275/96, 201/16, 17/16, 21/32, 25/48, 11/24, 173/96, 
  421/48, 0, -181/48, -475/48, -255/16, 85/96, 821/192, 67/48, 25/16, 
  -109/24, -23/96, -3/16, -13/8, 11/48, 541/192, 131/16, -83/96, 85/48, 
  -17/96, -7/8, -11/48, -49/32, 5/32, -29/96, 0, 1/4, -32/3, -143/8, -53/48, 
  157/24, 11/48, 143/8, 67/12, -753/32, 167/16, -175/32, 1607/96, 95/96, 
  83/48, -11/16, 1069/48, -671/24, 23/16, 17/16, -415/48, -59/96, -227/48, 
  1949/96, -9/16, -3/32, -55/96, -173/32, 45/16, 73/96, -3/8, 265/24, 857/48, 
  -53/16, -205/48, -857/48, 1003/96, -325/48, -649/96, 191/48, -173/12, 
  469/16, 599/32, 257/16, -115/48, -83/48, -7/96, 241/96, -77/16, -127/16, 
  19/4, 127/16, 1/16, 47/8, -367/48, 13/3, 377/96, 1, -1, 3/2, 0, 0, -1/12, 
  139/32, 5/3, -5/24, 13/96, 275/96, 69/32, -7/32, -187/96, -77/96, 175/64, 
  37/16, -137/64, 0, 11/24, 13/32, -101/12, -17/8, 1/3, -311/64, 35/8, 95/32, 
  1553/192, -1027/192, -3/16, 229/96, 157/24, -517/192, 785/192, 53/192, 
  -13/12, -21/8, 509/192, 13/16, 167/48, 5/48, -1/3, -1/16, 43/96, -637/96, 
  421/96, -13/16, -7/16, -1/16, 3/4, -71/48, 25/96, 0, 21/16, -349/96, 77/48, 
  -49/32, 5/24, -151/32, -23/48, 53/96, -239/96, 35/24, 35/16, -11/32, 
  -43/48, -11/96, 31/96, -17/12, 257/96, -1/6, -13/16, 437/96, -83/32, 5/24, 
  25/16, 99/16, 51/16, -2/3, -49/48, -29/12, -1/8, 25/96, 43/48, -27/32, 
  11/12, -73/32, -11/24, 95/96, -127/48, 167/96, 7/96, -929/192, -245/96, 
  -23/96, 223/96, 5/24, 25/16, -7/96, 3/16, 431/192, -15/16, -145/96, -79/96, 
  -33/32, 31/96, 7/8, 3/16, 41/48, 0, 0, 0, 433/48, 167/48, -5/48, 1/12, 
  -247/96, -25/48, -15/4, 13/24, 1/8, -41/32, 39/16, -37/96, -1753/48, -35/6, 
  -13/16, 95/32, 43/96, 11/48, -991/96, -39/32, 485/96, -3/8, -671/96, 
  159/32, 235/48, -9/2, -3/32, 1163/96, 145/96, -313/48, -335/96, -217/96, 
  -289/48, -2/3, -97/16, -5/12, 187/48, 269/96, 3/32, 53/96, 227/96, 1/2, 0, 
  -1/8, -43/96, -1705/96, -143/16, -1/12, -19/48, -127/24, 95/48, -199/96, 
  -943/96, -229/96, 595/96, -35/24, -21/8, 11/48, 989/48, 215/96, -263/96, 
  -473/48, -301/48, -44/3, -37/96, -55/4, -11/48, 99/16, 109/16, 59/48, 
  181/48, -437/96, -15/16, 1/8, -13/16, 425/32, 857/96, 37/16, -163/24, 
  -217/96, -307/32, 97/48, 69/16, -17/32, -31/2, 241/96, 859/96, 21/32, 3/4, 
  115/16, -629/96, -5/24, 3/4, -4, -127/32, 3, 8/3, -157/96, -1/2, 161/32, 
  -209/32, -3/16, 1/2, -1/2, -1/96, -1/96, -1/96, 75/32, -15/16, -23/16, 
  7/32, -27/16, -463/96, -85/96, 251/96, 49/16, 45/32, -1031/192, -59/32, 
  455/192, 1/48, -11/24, -9/4, 191/96, 2, 0, 23/32, 1615/192, -533/96, 1/96, 
  -203/32, -1673/192, 29/12, 373/64, -11/48, 5/16, 7/8, -107/16, 0, 307/192, 
  -751/192, 115/96, 19/192, -13/24, 7/8, 8/3, 1/12, -177/64, -1/48, -13/16, 
  0, 1/96, -121/96, 11/8, 5/48, -5/24, -17/16, 359/96, -11/8, -7/16, -17/24, 
  -29/96, -119/48, -49/48, 193/64, 65/48, 65/96, -403/192, 65/96, -11/48, 
  11/24, 43/32, -467/96, 17/64, 13/96, -409/192, 155/32, 5/48, -313/192, 
  -143/96, 1183/192, -1/3, 235/96, -115/96, -1/16, -83/64, 43/96, 3/32, 
  101/96, 43/12, -11/48, -353/192, -1063/192, -67/24, 7/192, 769/192, 
  -421/96, -5/48, -215/64, 5/48, 7/16, -55/32, 3/32, 283/192, -41/48, 
  -145/192, -119/192, -35/64, 7/16, 17/96, 41/96, -139/96, 127/96, -527/96, 
  -1729/96, -167/48, -5/48, 37/32, 123/32, -1733/96, 221/24, 1/8, 163/24, 
  -1327/64, 833/96, 49/96, -907/192, 1739/96, -1/12, -613/96, -43/96, 11/48, 
  149/48, -11/4, 2353/96, 343/32, -157/192, -1565/192, -293/192, -637/192, 
  17/48, 733/96, 557/64, 253/96, -133/16, -71/24, -53/96, -175/96, -1963/192, 
  -35/3, 271/96, 1145/192, -289/96, -601/192, -2263/192, -113/48, -1/48, 
  65/48, 5, -395/192, -63/64, 155/48, 25/32, -9/32, -49/48, -7/16, 139/96, 
  121/96, 191/32, 443/16, 143/16, -3/16, -271/16, 317/24, 31/8, -275/96, 
  1443/64, 4301/192, -91/96, 11/2, 21/8, -337/96, 401/48, -2227/96, -997/48, 
  547/96, 2281/192, -1901/192, -7/32, -4711/192, -43/16, 55/24, -853/96, 
  451/32, -557/64, -51/32, 11/4, -43/96, -8/3, 769/192, 7/32, -31/16, 163/32, 
  -453/32, -857/96, 59/6, 3/8, -71/48, 31/32, 689/96, -69/16, 17/8, -295/96, 
  349/24, -251/16, 139/96, -77/12, 65/24, -77/32, 575/96, -139/48, -47/8, 
  29/48, 127/32, 13/48, -1/6, 157/96, 189/16, -157/96, 73/96, -95/16, 1, 
  -1/2, 1/2, -1, 0, 2713/576, 13/96, 0, 3617/576, 491/576, 1/6, -1/12, 
  -1025/576, 265/48, 0, 99/32, -1/12, 0, 49/144, 137/192, 0, 143/192, 
  679/144, 31/192, 0, 3811/576, 3277/576, -1/12, 2363/576, -1/12, 1/48, 
  -103/192, 0, -65/288, -1/16, 51/64, -175/576, 581/576, 1/24, 1/48, -11/192, 
  -17/36, 0, 25/16, -23317/1728, -5621/1728, 0, 451/96, -8107/1152, 
  34375/512, 33481/3456, 25/96, -785/24, -11657/2304, -26217/512, -71/96, 
  9407/144, 16727/576, -7/48, -1987/576, 43/96, -83/48, -1039/72, 
  -35603/1728, -17/6, -1315/32, -15149/512, 27745/13824, 1051/48, 
  273835/1728, 1419935/13824, -2231/96, -184981/2304, 359/72, 11/24, 61/32, 
  5335/576, 1595/96, 128221/3456, 302599/13824, -118325/3456, -146399/1728, 
  2941/128, -3/16, -5/3, -3161/288, 6761/3456, 51143/3456, -7/8, -353/144, 0, 
  -17/16, -1279/384, -545297/13824, -25/96, 19993/384, -55775/4608, 9505/768, 
  -283/192, -403297/4608, -7471/1152, 1213/192, 5927/576, -21/8, 391/96, 
  1457/64, 144085/4608, -35785/3456, -3131/48, -2634977/13824, -32909/768, 
  135973/1536, 45993/512, -3991/192, -889/48, -88885/3456, -100001/4608, 
  8099/108, 1234129/13824, -140573/1536, 3611/288, 2377/3456, -8839/864, 
  353/144, 0, 357/128, 35659/1536, 401/192, -10561/576, 4739/1536, -167/12, 
  517/1152, 69/16, 503/12, 62171/4608, -2859/256, -333367/4608, 130553/4608, 
  2211/128, -126533/3456, -111931/4608, 38923/512, -14155/3456, 1/8, 
  -30187/4608, 905/1152, 8245/1152, -157/96, 5423/576, -2113/512, 329/72, 
  -4883/576, 8017/1152, -1/2, -6865/1152, 0, 11/144, 215/108, 1/32, 0, 
  -137/288, -5233/1728, 21/32, 1/48, 13/18, 2225/1728, -1/48, -1/4, 11/144, 
  1303/864, -197/192, 0, -109/192, 53/288, -7/64, 0, 307/576, -1835/1728, 
  -1/48, -1/16, 1321/864, -11/32, -11/144, 1/48, -31/192, 109/192, -77/288, 
  -5/16, -37/96, -1321/864, -1/24, 37/96, 0, 0, -61/24, 805/96, 167/48, 0, 
  1943/576, 1555/48, -39/8, 25/192, -157/18, -2603/96, 11/192, 85/16, -1/2, 
  0, 517/576, -17617/1728, -887/144, 611/432, 5/24, 269/96, -17425/432, 
  14887/576, -127/192, 55/72, 38761/576, -67/192, -2299/192, 35/32, -77/144, 
  -11315/1728, 17635/1728, 949/144, 95/144, 26639/1728, -21301/1728, 
  -3451/576, -7385/144, 147/16, -1093/864, 16975/1728, -341/64, 133/96, 
  -341/288, 413/32, 1205/432, -55/96, -8009/1728, -37/96, 0, 0, -73/96, 
  -381/16, -143/16, 0, -751/192, -193/16, 197/32, -5/64, 2447/288, -3965/192, 
  19/96, -55/24, -187/192, -1205/192, 779/48, 599/24, -403/144, 9317/216, 
  7513/216, 4349/576, 5821/108, -419/192, 551/144, -1031/576, -11189/864, 
  -5603/864, -8905/576, -16201/432, -7873/864, 24605/1728, 6301/864, 
  9881/1728, 61/16, 1183/48, 857/96, 133/288, -4607/144, -419/96, 115/64, 
  11951/576, 6395/432, -1913/96, -383/12, 15503/1728, 99827/1728, -8273/576, 
  -1043/36, 24883/864, -17171/864, 5599/432, -1/2, -325/32, -127/32, -155/9, 
  -1/32, -259/864, 485/32, 5053/288, -227/864, 1/2, -1, 0, 7/96, 41/32, 
  167/48, 53/96, -49/32, 91/96, -167/48, 5/48, -81/32, 67/12, -107/48, -7/32, 
  647/192, -33/8, -3/16, -89/64, 29/96, -83/96, -7/6, -637/96, 0, 25/64, 
  431/192, 59/64, 349/32, 0, 209/192, -1285/192, 887/192, 0, -131/32, 379/32, 
  11/96, 653/192, -29/96, 11/48, 173/192, 421/96, -11/32, -383/192, -299/96, 
  -77/6, 23/64, 385/64, 667/96, 13/32, -251/24, -17/32, -3/32, -13/16, 
  119/96, 235/192, 47/8, -625/192, -75/8, 439/96, -7/16, -7/16, 11/48, 45/64, 
  -73/96, 0, 13/48, -133/48, -95/48, 53/96, 17/48, 439/96, 143/16, 5/24, 
  -7/6, -225/64, 167/32, -11/48, 3/64, 1607/192, -29/48, 95/192, -83/96, 
  -271/96, -451/96, -167/24, -13/64, -159/64, -341/48, -659/24, -47/64, 
  335/64, -413/24, 527/96, -2231/96, -99/32, 11/24, 619/192, 839/96, 637/48, 
  -163/96, -943/96, 3557/192, 269/64, 495/64, 1097/192, -31/48, -713/192, 
  -421/48, 125/32, 465/64, -757/192, -11/16, 13/8, -295/192, 7/8, 0, 1/16, 
  -247/48, -859/96, -53/48, 493/96, -1207/96, -857/96, 215/48, -737/64, 
  -325/96, -95/96, -649/192, 83/48, 101/96, 1235/48, 143/8, 61/32, 1331/192, 
  1511/48, -163/24, 571/32, 12, -75/32, -503/96, -1069/48, 303/64, -3007/192, 
  -213/64, 1/24, 227/48, -775/192, 55/96, -3/8, 829/96, 1333/96, -59/16, 
  439/48, 127/32, 649/96, 1/32, 209/48, -1081/48, -857/48, 75/32, -791/48, 
  -965/96, -51/8, 173/12, 87/32, 115/48, -77/16, -119/16, -1/16, -1/2, 
  171/16, 127/16, 1/16, -47/8, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -11/8, -7/6, 8, 
  4, 0, -4, 10/3, 10/3, 5/2, 7/2, -5/2, 0, 0, 1, -7/12, -29/12, -95/12, 11/2, 
  -1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, -11/12, 3/2, 11/4, -5/6, -1/3, -3, 
  -23/12, 7/3, 0, 0, 7/8, -1/2, 493/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 1/4, -2529/8, -269/12, 878/3, 0, 2191/24, -19/12, -133/3, 0, 0, 0, 0, 
  0, 0, 59/12, 9/2, -35/4, 20/3, 83/12, 5/4, 47/4, -35/12, 145/12, 5/4, 
  -65/12, 11/12, 13/2, 43/32, 71/12, -11/6, -595/96, -2441/8, 79/12, 1083/4, 
  95/12, -11/2, -73/4, 11, 0, 0, 0, 0, 53/12, -13/3, 1/3, 13/3, -14/3, -79/3, 
  33/2, 1/6, 43/16, -11/3, 52/3, 55/3, -11, 0, 0, 0, 0, -23/6, 16/3, 20/3, 
  40/3, 32/3, -8/3, -32, 16, -24, 10/3, 8/3, -2/3, -1, 1/2, -239/24, -49/6, 
  31/6, -5/2, -27/8, -30949/96, -43/16, -223, -347/32, -37/6, -191/4, 223/96, 
  -5/3, 11/6, -5/24, 4389/8, -251/24, -4063/8, -25/8, 25/2, 10/3, -59/6, 
  59/24, 59/4, -55/2, -1, -189/8, -7/6, -97/6, 139/8, -2, -1/3, -89/12, 17/3, 
  10, 1/4, 26/3, -1, -47/12, 121/48, -1/6, 37/16, -17/12, 43/32, -217/48, 
  11/3, 203/16, -24, 49/2, 43/6, -43/96, -17/6, -146/3, 0, 0, 0, -2/3, -1/6, 
  1/2, 13/3, -2, 175/4, -175/4, -175/4, -161/3, 7/2, 45/8, 249/2, 43/32, 
  137/12, -11/6, -701/96, -1165/4, 13/12, 1835/12, 0, -5/12, 0, 0, 0, 0, 0, 
  0, 11/12, -17/12, 7/2, 0, 0, 17/12, 1, -1/6, -1/2, -1, -5, 4, 2, 13, 52/3, 
  23/4, -1/6, -33/4, -26, -52/3, -23/4, 13, -64/3, 0, 10/3, -26/3, 17/2, 
  509/3, -12, -43/16, -43/2, 11/3, -347/32, -19/2, 347/32, 19/2, 27/8, 43/32, 
  181/24, -11/6, -1501/12, 7915/24, -35/3, 79/8, -1833/8, 0, -4, -197/48, 
  -10/3, 397/6, 26/3, -479/48, -469/3, 25/3, -309/4, -547/4, -71/8, 2593/24, 
  -7531/32, 4001/36, 4241/32, -35207/144, 737/48, 0, 5/3, -5/3, 1, 0, 0, 0, 
  0, -143/8, 857/48, -127/16, 1, 0, 0, 0, 0, 0, 5/24, 0, 0, 0, -7/24, 11/24, 
  -11/8, -5/6, 1/6, 29/24, -1/12, 0, 5/12, -19/6, -55/9, 1247/12, -172, 0, 
  5/12, 19/24, 121/36, -17/18, -119/24, 79717/288, 10553/144, -24, 45157/144, 
  -4469/72, -4063/18, 0, 0, 20/3, 10/3, -22/3, 0, 59/12, 0, 15/4, 0, -7/12, 
  0, 0, -10/3, 2/3, -85/4, -559/24, 47/3, 7/8, 7/16, 0, -5/8, -43/3, -13/2, 
  -17/48, 0, 33/8, 19/12, 73/8, 0, 0, -73/24, 1099/48, 0, -535/144, 61/12, 
  -325/36, -11/4, 35/6, -7/3, 17/4, 34/9, -35/6, -101/8, -79/9, 323/24, 
  89/24, 10, 181/18, 61/24, -733/72, 7/6, -17/8, -17/2, -17/24, -65/8, 97/36, 
  2407/72, -71/18, -1415/36, 61/18, -3/2, -317/36, 1/4, -289/72, 175/72, 
  19/3, 43/18, 25/6, 1/6, -34151/288, -6527/96, 91/24, 13735/144, -119/3, 
  427/8, 0, 5/6, -57/16, 44/9, -7483/72, 609/4, 0, 0, 0, 0, 0, 6, -11/4, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11/8, 9/16, 21/8, 185/24, 
  55/48, 863/48, 29/24, -9/16, 17/16, 1, -11/12, -17/16, 515/48, -53/24, 3/8, 
  35/24, 7/4, -7/16, 269/24, -1155/16, 0, -167/24, 0, 0, 23/6, 0, 0, -11/12, 
  3/8, 7/4, -17/16, 35/24, -7/16, 1261/48, -271/24, -3283/48, 0, -32/3, -1/2, 
  0, 5/24, 35/24, -1/6, 0, -79/12, 29/3, 0, -79/24, -28/3, 4/3, 13/3, -14/3, 
  0, 3395/288, 0, -77/12, 0, 893/288, 0, -11/12, 0, 1879/288, 0, -187/48, 0, 
  473/288, 43/9, 0, 33/16, 25/3, 1/3, 0, 0, 0, 0, 0, 0, -473/24, 115/48, 
  11/24, 19/8, -3/16, 1249/48, 0, -19/6, 13/24, 1/48, -37/4, 19/16, 17/16, 
  11/12, -3/8, 0, 13/12, 1/24, 19/8, 17/8, -11/24, 1/4, -13/24, 0, -7/12, 0, 
  0, 0, 0, 0, 0, 7/2, -6, 31/24, -29/12, -27/8, 1, 8/3, 547/72, -1/6, -43/6, 
  -125/36, -41/4, 29/6, 161/24, 67/18, 43/12, -31/6, -9, -355895/1152, -43/9, 
  -545237/1152, 33449/1152, 58897/96, 784757/1152, -853/32, -468979/384, 
  -193/18, 81355/288, 7889/128, -197033/288, -9703/36, -9/2, -25/8, -1/6, 
  9785/128, -1501/128, -17/12, -1273117/1152, 208325/288, -2533/96, 0, 5/12, 
  0, 11/18, -71/72, 29/24, 0, 0, 0, -6, -39/4, -63/8, -21/4, -7/2, 9, 6, 
  -32/3, -35/3, -163/24, 7/12, 59, -19/24, -57/2, -63/32, 2383/16, -3297/16, 
  -19/12, -19/6, 71/12, 259/6, -1/3, -79/24, -35/12, -119/3, 127/24, -3, 
  29/24, 1119/32, -353/48, 1915/96, 283/48, -491/8, -815/6, 1157/8, -11/16, 
  33/16, -5/8, 1/2, 59/24, -55/16, -7/2, -775/12, -25/8, 1531/24, 1, 65/12, 
  97/48, 13883/48, -83/12, -11035/48, -3391/8, 73/24, 835/6, 3391/8, 11/24, 
  -1/4, -11/16, 157/48, -5/12, -29/8, -23/8, -101/12, 77/16, 57/8, 15/4, 
  95/8, -41/24, -49/24, -35/9, 17/6, 187/24, -539/48, 77/18, -217/24, 
  1499/18, 19/24, 4291/96, -49/24, -34217/96, 1271/3, 0, 215/12, 6077/192, 
  43/18, -151/12, -143/12, -11/18, 1/2, -49/6, -1/3, 0, 5/24, -19/24, 11/8, 
  -11/24, -27/8, 48, 59, -32/9, -193/36, 127/12, 16235/96, 3631/576, 53/24, 
  61553/864, -2539/48, 5/12, 45/32, 615/16, 199/2, 43/18, 269/12, -1139/36, 
  25/6, 239/24, 1/6, -9097/144, -9485/144, -69/8, -6707/432, -731/72, 
  -1105/12, 0, 0, 0, 0, 0, 0, -5/24, 0, 11/72, -1/9, 9/8, 0, 0, 35/12, 16, 0, 
  143/72, -647/18, 793/72, 11/3, -16, -3893/72, 2843/36, 1151/12, 97/72, 1/9, 
  -25/9, -11/8, -13/6, -247/12, -11/2, -38, 2, 0, 5/9, -1/18, -13/24, 0, 
  -341/72, -9521/324, 32, -85/36, 1, 8209/162, 221/72, -1291/216, -3/8, 11/4, 
  709/36, 1435/216, 9691/648, -34645/648, -403/12, 11/12, -3521/72, -22/3, 
  -2267/36, -1/2, 9, 1897/24, 101/12, 13/12, -4/3, 1/4, -123/4, -1/12, 
  -115/4, -9/4, 81/4, 763/12, -1585/36, -182/3, -103/12, 587/18, 182/3, 
  -23/6, 263/36, -5/3, -247/12, -148/9, 2/3, -907/36, -1255/36, 25/18, 
  -101/36, 97/36, 1007/18, 1225/18, -241/36, 101/36, -1273/36, -533/36, 1, 
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  -175/3, -19/2, 87247/288, -13595/144, -41005/216, 739831/576, 2785/54, 
  -93845/576, 0, 0, -211/4, -70/3, -1067/12, 7/2, -178/9, -391/9, 469/6, 0, 
  -2371/48, 0, 5461/32, -1389/64, -5/4, -3393/64, 77/12, -4379/288, -3, 
  -77/12, 0, -3961/48, 1759/576, 35/24, 1507/8, 439/32, 195/8, -5419/72, 
  -417/32, -103/12, -21/8, -43/9, 14435/192, 89473/1152, 118207/1152, -11/12, 
  -25/3, -1313/192, -1/3, -57733/1152, -53399/288, -69761/864, 335671/1152, 
  139883/864, 102631/1152, -344857/576, -30667/1728, -515/12, -114631/192, 
  -15660709/10368, -6691/96, 2207629/3456, 1873409/1296, 8641/36, -10215/32, 
  64223/384, -79615/1152, 55691/96, -14801/144, 79615/1152, -9083/32, 
  -73301/1152, 729/32, 38105/432, 26503/192, 43/18, -226093/864, -13019/192, 
  25793/288, 631/48, 25/6, -69/16, 1/6, -55619/384, -2033/16, -90733/1152, 
  3827/384, 6887/48, -15/8, 3065/96, 5715/32, 20495/96, 86591/864, 2093/24, 
  -779855/1152, -64/3, -160643/864, 31441/1152, 0, -5/12, 0, -11/18, 101/72, 
  -31/24, 0, 0, -5/24, 7/24, 0, 0, 0, 0, 0, -1/2, 97/4, -211, 0, -3/8, 
  -459/8, -683/2, 1/8, -127/2, 83/8, 145/8, 3131/8, 501/2, -1/4, 17/8, -79/4, 
  851/8, 13/8, -57/4, 1711/8, 71/12, 56, -1235/24, 1, -13/2, -59/8, -131/24, 
  -133/4, -27, -7/8, 2, 31/24, 5/24, 0, -13/4, -31, 3503/8, -31/8, 163/2, 
  284, -23/2, -1307/8, -1597/8, -19/8, 38, -134, 51/4, -657/4, 179/8, 29/4, 
  -97/8, 157/24, -25/12, 15/4, 71/8, -1231/4, -9/2, -121/4, -589/8, -73/4, 
  191/8, 203/8, 39/2, -17/8, 641/8, 22, 15/4, 3/4, 71/24, -445/16, 307/24, 
  -139/24, -309/16, -10117/288, 743/72, -5999/96, 117/8, -161/24, 0, -119/16, 
  7/6, 253/16, -377/8, -95/48, 967/24, -33/8, -27/2, 577/16, -163/12, 
  -865/16, 3533/144, 2545/48, 27/16, 467/36, 1027/48, 1303/72, -1255/72, 
  121/16, 19/12, -811/16, -41/8, 11/2, -19/16, 0, 827/16, 0, -797/12, 5/2, 
  59/2, -395/9, 13465/288, -845/16, 27/2, -133/72, 359/24, -43/2, -1015/144, 
  -839/48, 7/16, -367/48, 1009/144, -325/72, 3935/144, 1/24, 2245/72, 
  -883/24, -2245/72, 0, 58/3, 3581/432, -113/24, 5/8, -1577/24, -547/27, 
  113/24, 35/16, 649/8, 5171/432, 55/16, -561/16, -14/3, 11/24, -209/8, 
  -379/108, -113/8, 8, 16637/432, -1627/216, -241/48, 2765/216, 473/24, 
  91/16, -137/144, 1997/144, -5995/144, 4027/144, 7591/144, 103/48, 253/48, 
  -351/8, -95/16, -11/24, 11753/432, 14, -5/8, -4877/108, -14, -175/24, 
  2585/144, 7/12, -319/24, -6223/216, 9, 183/16, 54781/864, -555/8, 
  -1603/144, 401/72, 1643/48, -24, 101/48, -179/432, 229/48, 23/27, -841/24, 
  47/3, -19/72, 335/72, 91/48, -9/2, 95/12, -1837/72, -767389/6912, -153/8, 
  -4795/1152, -1805/144, -625/144, -13/24, -1075/72, -27/8, 944113/3456, 
  -39077/256, 2037761/6912, -61/6, -10501/576, 1069/72, 29/8, -3157/192, 
  -24455/256, -97825/1728, 281/64, -15/8, 1687/144, 116833/1728, 2, -5/3, 
  -5/12, 5/4, 0, 7/3, -7/4, 0, 0, 0, -6, 0, 6, 5/6, 0, 0, 6, 0, 12, -6, 5/6, 
  -6, 0, -12, -6, 29/6, 6, 0, 5/24, 0, 0, 15/8, -235/48, 59/16, -107/48, 0, 
  0, -53/8, 63/8, -47/16, -7/24, 27/8, -33/16, 3, 11/48, -3/32, -7/16, 
  -11/24, -17/32, 3/16, 35/48, 7/8, -7/32, 17/16, 1417/96, -35/24, -131/16, 
  7/16, -1417/48, -3205/96, 371/24, 3205/48, 11/48, -3/32, 0, 0, 11/48, 
  35/24, -3/32, 1/96, 0, -13/8, 35/24, 1/96, -15/16, 5/24, -15/16, -1/24, 
  1/6, 5/24, 1/8, 341/12, -11/12, 0, 95/8, -4, 1/2, -1/8, -135/4, 0, 0, 
  -19/2, 11/4, -1/6, 1/24, 75/4, 0, 19/8, -11/12, -15/4, 0, 0, 0, -11/48, 
  47/32, -7/12, -39/16, 7/8, 241/192, 163/48, -437/64, 319/96, 3247/96, 
  -26953/192, 5627/64, 3043/32, -55/8, 3301/48, 0, -333/16, -11/24, -61/128, 
  7/128, -473/192, 123/64, -1225/96, 85/32, 0, 0, 3/16, 49/384, -77/128, 
  363/128, -621/128, 0, 7/8, -7/64, 7/64, 55/48, 51/32, -39/4, -263/16, 
  -143/128, -731/48, -4607/192, 263/12, 343/48, -15/32, -35/16, 39/4, 
  791/384, 5957/384, 1281/32, -35/16, 21/32, -35/64, -17/32, -1365/32, -41/3, 
  1547/32, -815/96, -9481/96, 35/48, 323/16, -17669/384, -7/32, 1417/96, 
  3171/32, 329/16, -371/48, -3205/96, 95/384, -605/384, -959/192, 191/32, 
  11/12, -79/128, -227/12, 6521/384, -5/6, -371/192, 4915/192, -25/16, 
  259/96, 7/8, -51/64, 2443/384, -1285/64, 141/16, 533/96, 5885/192, -417/32, 
  -1225/192, -6101/192, -37/96, 1673/32, 119/48, -533/24, -28481/192, 
  -9817/384, 15515/192, 2803/32, 45/4, -347/12, 3109/96, 0, -1/8, -265/48, 
  -8/3, -5/24, 13/4, -5/24, -151/48, 11/12, 0, -5/24, 1/8, -119/384, -953/64, 
  -143/32, -5/6, 5/8, -157/48, 311/128, 7661/384, -25/16, 13/48, 1/192, 7/8, 
  -55/192, -65/12, 1/8, 105/16, -277/96, -2797/96, 397/16, 1783/384, 115/48, 
  -719/24, 4099/48, 285/16, -3811/384, -29/16, -19823/192, 527/192, 1601/48, 
  55/12, -1229/48, 283/48, -247/48, -17927/96, -2701/48, 4429/48, 63179/384, 
  497/24, -559/4, -195/16, -1511/12, 1415/24, 0, 131/72, -55/48, 0, 
  -1633/576, 0, 121/96, 0, 27/4, -12389/1728, -153/4, 0, -2071/288, -1805/72, 
  1/3, -13/12, 0, 0, 0, 0, 0, 0, 0, -5/24, 0, -11/72, 1/9, -9/8, 0, -7/24, 
  -1069/48, -143/16, 129/32, 1999/192, 2261/192, -11/24, -509/192, -283/96, 
  29/96, 21/128, -3/64, 0, -1/2, 125/3, 6005/96, -129/32, -389/64, -9833/192, 
  79/32, 257/24, 7/4, 37/48, -665/24, -1841/32, -347/64, 5641/192, 341/96, 
  163/16, 389/16, -375/32, -3, 0, 7/64, 123/64, 0, -65/192, -137/48, 115/64, 
  31/24, -83/64, -7/4, -83/64, 1/3, 65/48, 11/32, 173/128, -11/96, 173/128, 
  0, -9/64, 3/64, 0, 3/16, 377/12, 0, 13/32, 0, -3499/192, -7/8, 83/64, 
  -65/12, 0, -43/8, 0, -33/32, -501/128, -35/48, 27/64, -9/32, -4201/96, 
  -1/192, 2197/192, 5/12, 0, 433/48, 13/16, -29/16, -3/64, 953/64, 15/32, 
  -119/48, -53/32, 0, -11/12, 271/96, -373/192, -71/192, 0, -403/96, 
  1915/192, -16/3, 157/192, -637/64, 23/3, -2255/192, 211/24, -15/32, 0, 
  37/64, 2443/192, 89/12, 5/24, 7/24, -29/48, -1411/192, -227/16, -99/8, 
  -11/24, 7/48, 11/16, 3709/384, 53/6, -17/48, -5/4, -11/96, -101/24, 23/48, 
  3/64, 0, 83/96, 3503/192, -4631/192, 0, -1/24, 49/24, 1411/192, 43/4, 
  6217/192, -49/64, -1057/192, -1081/128, -6937/384, 1/16, 817/384, -91/64, 
  -2235/32, 2017/48, 3/16, -29/8, 677/192, -1063/64, 2663/192, 6097/384, 
  77/2, -2825/96, 3/8, -2759/192, 263/64, -71/144, -47/36, -43/144, 109/144, 
  -469/144, 217/144, 535/216, 125/27, 43/72, 31/36, 2611/144, 29633/432, 
  -473/54, -91/48, 41/72, -59/18, 1/18, -473/48, 1/24, -463/48, -43/72, 
  109/72, -14927/432, 1633/144, -5633/144, 3073/216, -739/36, 391/72, 
  931/108, -8249/108, 40163/432, -787/18, 223/27, -115/72, -473/54, 0, 1/2, 
  5/12, 235/36, -97/24, 1271/108, -161/48, 119/144, 61/12, 545/48, 181/72, 
  -299/72, -1657/144, -55/48, -95/8, -10211/432, -487/48, -121/48, 43/72, 0, 
  5/3, 1/4, 109/18, 679/72, 3505/144, -991/36, 3403/144, -7145/432, -539/12, 
  -5191/144, 3413/216, 226/27, 31/72, 421/8, -1261/144, 4163/216, 529/6, 
  -313/8, 461/24, 1109/432, 133/72, -293/8, 1327/108, 43/16, 4, 4827/128, 
  299/48, 517/144, -18319/576, -157879/1152, -82667/576, 3217/96, -59161/288, 
  -559/48, -710215/2304, -289/144, 2671915/4608, -43679/2304, -172969/384, 
  473737/4608, 81121/288, 7599673/18432, -1165/48, -3007571/6144, 
  -18095/3072, 379919/4608, -95513/12288, -487/48, 9841/1024, -23/12, 
  798523/2304, 9723/128, -1395175/6912, 30995/384, -109451/288, 5496899/3456, 
  -13247/192, 11807/288, -175/64, -3597107/6912, 6881/144, 26508593/6912, 
  71663/576, 67513/72, -12186833/3456, -4847/192, -540619/768, -15799/128, 
  -1966873/864, -89407/1152, 543071/288, -7949/72, 3269/96, -140957/864, 
  -559/48, -88253/288, -10926835/3456, -5768615/4608, 53861/2304, 
  1904797/4608, 8789743/1536, 177761/128, -349615/864, -14243603/4608, 
  206909/864, 2664193/2048, 44362165/18432, -173359/3072, -136986391/55296, 
  -36593471/18432, 5794147/4608, -38791021/36864, 718489/36864, 
  10365263/18432, -1094645/36864, 61/24, -317/24, 1447/24, 103/12, 2, 0, 
  1085/864, 251/144, -583/144, 0, 185/108, -2959/288, 679/144, -253/32, 
  -61885/288, 6425/36, 142211/288, 407/48, -14483/96, 0, -121/432, -1085/864, 
  -2233/144, -29/36, 1507/144, 241/144, 121/432, 319/12, 2299/144, 7151/144, 
  -1153/36, -319/12, 493/72, 22609/144, -493/72, -1, 105/4, -8803/48, 
  3159/16, -27/8, 215/16, -2657/48, 57, 5/96, -133/16, 173/16, -2141/48, 
  -1469/8, 65/24, 207/8, 4565/48, 775/4, 131/32, -271/8, -323/4, 3/8, 105/8, 
  15/4, -127/12, 9481/96, -3043/24, -245/24, -1037/32, -12319/96, 3253/16, 
  277/96, 51/32, -1289/8, -137/16, 601/8, -167/48, 13669/96, 16595/192, 
  -533/96, 2963/24, 23929/192, 7891/128, -18769/48, -1129/6, -14289/64, 
  -29639/384, 1651/6, 821/4, -1003/24, -53/16, -293/18, -2125/144, -33/32, 
  563/8, -37/48, 421/24, 1067/72, -497/16, -2905/144, -385/288, 13/6, 211/9, 
  19/48, -16307/144, -5347/288, 373/72, -59/24, 8981/288, 33869/288, 
  -3709/288, 21443/288, -1046/9, -29/16, 13619/96, -30257/288, -1109/96, 
  -66659/192, 191051/1152, -61/6, 15119/64, -29639/384, -5681/48, 821/4, 0, 
  -85/48, 27/2, -193/4, 0, -7/24, -1421/144, -4217/144, -11/16, -124/3, 5/8, 
  -3167/144, 0, -33/16, -197/12, 3643/48, 13/48, 1001/36, 539/8, -9/8, 
  865/18, 1687/72, 13/16, 517/48, -463/16, -733/48, -8965/144, -74/9, -71/12, 
  -5/8, 377/16, 3, 0, -19/8, 209/24, 769/72, 7/24, 365/36, 445/48, 15/16, 
  523/36, 785/48, -443/48, 721/32, -5723/32, -593/36, -625/144, 4649/144, 
  1775/96, 15007/96, 1753/144, 5827/144, 223/48, -1061/48, 50521/576, -39/16, 
  121/16, 323/12, -3757/96, -1651/32, 269/16, -90203/288, -23/16, 8551/64, 
  253/48, 47309/96, -2227/12, 0, -19/8, 5945/108, 2609/96, -153/8, 0, 499/18, 
  943/48, 3703/144, -1/6, 43/12, 883/36, 13/12, 0, 5/48, 3/16, -25/24, 
  11/144, -149/72, 191/18, 71/144, 3277/144, -9/8, -313/9, -1733/36, 25/3, 
  -101/6, -1384693/6912, -376195/6912, 28375/1728, -15/16, 388685/3456, 
  55319/5184, 13109/864, 801797/5184, -6445/432, -8291/288, 403/72, 
  -7447/144, -9571/72, 946723/648, 103/8, 1055/72, 15953/144, 5063641/3456, 
  -250195/162, 401/12, -789/32, -1547555/1152, -137/24, 1603/32, -11/6, 
  19991/768, -10914521/10368, 286535/3456, -889589/3456, 9613841/10368, 
  -12199/288, 341069/3456, 7351/288, -18887/1728, -153/8, 32739065/10368, 
  -26863/864, 578345/3456, -34720931/10368, -701861/3456, 35195/864, 
  -1805/144, -628585/162, -192049/1728, 4854665/1296, -2875/54, -13/24, 
  1919861/1296, 103/8, -890593/6912, -40367863/20736, -71315/64, 631/144, 
  87959/2304, 8254063/1296, 959123/384, 29095/216, -62480993/10368, 
  -1013029/648, 6520117/6912, 32994593/20736, 1451/96, -33255463/10368, 
  -21591905/5184, 23389681/10368, -2934859/5184, 10195/288, 2510861/1296, 
  -12769/288, 0, -205/576, 733/576, -1/48, 3245/576, 12767/192, -2149/24, 
  -37853/192, -155/32, 14459/192, 0, -115/288, 1903/288, -19/4, 715/144, 
  -16249/48, 4237/16, -27305/24, 164105/432, 35029/108, 0, -295/864, 
  2599/1728, -7835/1728, 97/48, 29881339/1036800, 166879609/1866240, 
  13964387/1399680, -2983903/69984, 0, -2123/288, -26989/216, -1235/1728, 
  -61313/576, -103825/648, -1771/864, 10690559/34560, 12923/648, -3875/1728, 
  -2037113/11520, 73/16, 3553/288, 846749/2592, 701567/3240, 272009/1920, 
  -869921/6912, 3626129/9720, -125308841/345600, -516614669/3110400, 
  211673509/1036800, -4597409/10368, -102903461/259200, -2813923/48600, 
  3792251/23040, -678309127/9331200, 539169713/2332800, 85826497/129600, 
  62492327/466560, -3732831599/27993600, -1466408413/6998400, -451/288, 
  1055/8, -12695/96, -43/3, -13/8, 469/72, -245/18, 30253/48, -158435/864, 
  223/8, 377/12, -269/12, -8755/54, 43/12, 151/24, 2, 0, -121/72, 3895/162, 
  415/36, -65/144, -565/144, -7667/324, 137/144, 3347/432, -3/4, 0, 5071/576, 
  -17867/432, 35417/240, 125/576, 556927/5760, 14491/45, -929/576, 
  -43734451/345600, 11/48, -847/72, -1743079/10368, -126149/1800, 
  -315179/1920, -93039067/207360, 8052539/38400, 482477/1152, 834821/17280, 
  3551731/23040, -18456223/86400, 0, -913/144, -21517/432, 64, 835/576, 
  -2549/144, 56833/432, -1543/576, 1883/288, -61/24, -275/72, 476599/1296, 
  -88817/5760, -6059773/12960, 9405251/345600, -2688979/10368, 
  -5696477/21600, 75651899/207360, 6414197/86400, 253/96, 9133/144, -51, 
  1025/9, 1735/96, -8873/96, -3185/48, 7147/135, 24307/96, 24857/540, 
  31835/48, -2323/48, -311753/864, -9695/48, -33175/216, 22/3, 107/6, 160/3, 
  337/6, 3/8, 313/12, 4519/36, -521/8, -1/8, -17/12, -189/8, 101/6, -27/8, 0, 
  25/48, 1/16, 12, 9/4, -25/16, -119/12, -593/48, 67/6, 11/48, -557/8, 139/4, 
  373/72, -3127/48, 2875/72, 11/8, 13/16, 19/6, -109/24, 9/16, -97/24, 
  869/24, 3305/72, -481/144, 8161/72, -97/24, 4/3, -95/24, -31/3, 163/24, 
  -2735/72, 11/8, 1/4, 35/3, 31/24, -141/16, 1063/24, -12079/48, 4025/8, 
  169/48, -18385/288, 15253/96, 125/16, -463/16, 147/4, 25/16, 3/16, 1567/72, 
  -337/24, -11/2, 9/8, 175/6, -4273/72, -7/2, 27/16, 17/3, -55/8, -247/6, 
  -12229/144, 181/36, -11/8, 223/16, -4895/144, -95/16, -437/16, -1715/144, 
  -6289/144, -853/24, -10193/144, 1019/12, 77/8, -227/8, 163/12, 429/16, 
  4567/144, 2381/36, -35/2, 13/8, -137/8, 123/16, -48, -3461/72, -1373/24, 
  3/16, 10087/48, 42725/144, 171/4, -585, -4097/16, 5545/12, 723/4, 331/2, 
  2755/48, -22723/36, -100495/288, 75377/96, -435/2, -8455/72, 60631/144, 
  339/4, -1477/144, 825/16, -27/16, -91/4, -327/16, 511/8, 1477/72, -825/16, 
  91/4, -1477/144, -732253/13824, 0, -5/12, 0, 512647/6912, -197273/1728, 
  -12061/192, 149059/1152, 37957/648, 5921/864, -1366013/13824, 
  -1427033/6912, 320837/3456, 34169/864, 2642539/3456, -77875/288, 
  -188137/2592, -1271053/1152, 37559/48, 13429/48, -3571/864, -18773/1152, 
  1819/288, 5651/3456, 787/32, 8923/864, -113/6, 45923/1728, 122125/1728, 
  -24085/216, -11671/216, 2207/36, 1091/24, 169/24, 1/6, 0, 307/12, 
  -46123/1728, -3571/864, 25/144, -104863/1728, -74407/3456, -1219/72, 
  -9215/3456, 2033/72, 0, -1303/288, -138007/1728, 41971/864, 5/24, 
  -11701/216, 101993/1152, 145/144, -4883/3456, 169/18, 11/72, 815/96, 
  -9335/108, -113/288, -6959/216, 149929/1728, 9/8, 1117/24, 215/32, 1/6, 
  -1486973/27648, 21793/13824, 409633/6912, 16373/1728, 2694379/6912, 
  33773/2304, -33635/648, -1279261/2304, 178063/576, 13477/96, 0, 
  -4163713/5184, -3320005/9216, -11/8, 600973/1152, 14782115/13824, 271/48, 
  804383/3888, -360247/6912, -2213/72, -150551/576, 2741/72, -5/32, 
  -98659/960, 399517/2160, 26462309/27648, 4589/1152, 2713931/2304, 
  27476153/34560, -246553961/165888, -9053/384, -8164331/5760, -1136995/576, 
  15157/384, -9809/1152, -1807/48, 162079/960, 1984723/3840, -14670799/31104, 
  -2141543/9216, -4304639/3456, -151438139/34560, 33629249/248832, 
  51303421/34560, 39004165/10368, -251131/2304, -6638123/25920, 
  -2342155/10368, 112361/1152, 113455999/51840, 28456495/13824, 
  -40192975/20736, 553267/5184, 89951/6912, -23467123/31104, -30599/1728, 
  -5/32, -31249/96, -1093103/5760, 4558693/6912, 4589/1152, 25/24, 
  10550327/5760, 37192613/34560, -205326047/165888, -29813/384, 
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  16886917/34560, -81566713/124416, -2317799/9216, -676871/480, 
  -527230637/103680, 89267087/248832, 65756597/34560, 7613617/1728, 
  -689945/2304, -1968911/8640, 799399/5184, 97921/1152, 151693679/51840, 
  23860127/13824, -56378719/20736, 504995/2592, 86207/6912, -27172081/31104, 
  -30599/1728, 173257/1280, -228449/768, -1103357/27648, -9467/768, 
  -698027/2880, -73615/2304, 32483/768, 243391/2304, -2857/96, 
  -8599349/34560, -2398747/6912, -844469/13824, 6102037/17280, 1192891/6912, 
  12149/384, 81917/864, 590123/2304, 83683/1728, 57193/576, -41435/256, 
  -485555/2304, 2527627/6912, 125213/768, 48905/256, -451/192, 17143/216, 
  -135209/288, 806347/3456, -1158235/5184, 531223/2304, -1250749/2304, 
  65245/768, 305537/1152, 13477/96, 0, -5/24, 19/12, -11/36, 115/8, -4981/36, 
  -251/24, 341/12, -37/24, -887/12, 12, 153/2, -31, 0, -545/288, 715/48, 
  -9359/864, -377/72, 913/96, -72559/144, 93055/144, -3819907/34992, 0, 
  -1337/144, -1625/12, 341/12, -5/48, 827/36, 2999/24, -11/16, -219/16, 
  19/24, 0, -22133/108, -75/32, 601327/3456, 955/96, 67179197/518400, -35/24, 
  190531/864, 407123/1152, 134573/3456, -118201393/933120, -152531597/518400, 
  -95431/128, -159889727/699840, -3181967/933120, 245554517/699840, 0, 
  337/18, 805/4, -887/12, 5/48, -44, -467/6, 3/8, 239/8, -19/12, -151/16, 
  3655/72, 153/2, 1525/72, -9043/72, -187/8, -8395/72, -31, 10673/72, 0, 
  -1/4, -65/12, -167/12, 0, 0, 77/48, -181/24, 79/16, 11/24, 83/24, 33/4, 
  637/24, -11/18, -119/32, -763/48, 199/16, -31/48, -269/48, -421/24, -49/48, 
  893/96, 453/32, -11/16, 13/4, 143/48, -257/48, 7/4, 1/16, 0, -25/48, 
  859/48, 143/8, -11/24, -47/12, -113/12, -201/8, 31/48, 31/4, 511/48, 11/16, 
  -155/48, -7/8, 0, 1, -839/48, -857/48, 11/24, -11/24, 451/24, -33/16, 
  -27/16, 77/48, -1/4, 63/8, 127/16, 7/16, -127/16, -3/16, -1, -1, 1, 0, 
  -1/6, 203/24, -679/12, 53/4, 0, 17/48, -1121/48, -1019/24, 2261/24, 5/48, 
  133/16, 2807/48, 1157/16, -1, 3223/48, -485/24, 3/4, -1185/16, -11/8, 1/48, 
  -269/24, 253/12, -379/16, -13/16, -59/48, 333/8, -6257/48, 19/6, -2095/48, 
  -3997/48, 71/24, 491/8, 4469/48, -83/48, 203/48, 211/16, 61/48, -149/12, 
  2057/48, -113/24, 2023/48, -109/48, 1/24, 85/24, -1/4, 5/6, -15/8, -153/16, 
  29/48, -21/8, -299/48, -37/48, 0, -13/12, -115/12, 1363/12, -65/2, -17/48, 
  341/12, 289/24, -961/8, -245/48, -601/48, -1055/48, -643/8, -2119/48, 
  137/8, 11/48, 223/12, -2099/48, 5281/48, -127/24, -2183/48, 7063/48, 
  391/48, -2503/48, -1495/24, 37/48, -59/6, -2297/48, 677/48, -433/24, 
  631/48, 1/48, 349/48, 83/16, 1/4, 5/4, 35/24, -859/12, 32, -107/48, 233/12, 
  631/12, -605/24, 581/24, 39/4, -137/24, 767/48, -1667/16, 803/48, -179/16, 
  -589/24, 199/24, 67/8, -167/48, -29/48, -1/3, 34/3, -63/4, 215/24, 2, -7/4, 
  -1/12, 2041/48, 277/48, 3/2, 13/4, 3, -3, -11/4, 0, -291/16, 365/48, 
  155/12, 5/48, 63/16, 1459/24, 497/48, -155/12, -1/8, -35/3, -3043/48, 
  -431/24, 211/96, 875/48, 499/24, -37/96, -257/24, -43/24, -11/48, -61/24, 
  253/16, -1633/48, -121/12, 79/48, -293/24, -15737/432, 845/24, 647/96, 
  69/2, 781/54, -595/48, -65/8, 1129/24, 31/96, 107/16, 2387/96, 161/12, 
  -143/96, 433/32, -22765/864, -41/2, -653/108, 693/32, -1/16, -265/24, 
  -1243/96, 149/24, 2383/288, -8293/288, 3/8, 23/3, -193/32, -13/32, 0, 
  135/8, -43/3, -179/6, -5/2, -333/8, -1019/48, 179/6, 137/32, 799/48, 
  569/16, -2147/96, 389/48, 973/48, -11/12, -1141/24, 1651/96, -67/12, 77/96, 
  50141/864, -3469/96, -35/3, 191/144, -1585/48, 5/3, 631/24, -781/96, 31/96, 
  2239/216, 2557/144, 2/3, 31/12, -6697/288, -17/12, -1/8, 461/48, 337/16, 
  23/16, 11/8, -337/16, 1387/48, -171/16, -725/24, 47/48, -413/48, -205/16, 
  -1/6, -14327/864, -557/24, 87/32, -199/24, -1681/288, -343/96, -19/16, 
  -89/48, 299/24, 89/48, -527/48, 883/96, -103/48, -1459/32, -769/96, 3/2, 
  -3/2, -3/2, 0, 0, -1637/480, -1297567/5184, 38897/6912, 5/32, 
  -2488907/5760, -11761199/34560, 3342917/55296, -60095/6912, 9959/128, 
  5040797/5760, 19340509/17280, 29661991/41472, -29939/384, -601667/2304, 
  62437/288, 3979/192, 16151/96, 25/24, -11/24, 197/480, -627497/15552, 
  1757269/20736, 77753/240, 160082231/51840, 509922677/248832, 135223/2592, 
  -25191257/34560, -151871659/51840, -6346919/3456, 158587/768, 559495/3456, 
  -9595/144, 97/96, 19087/1944, 598321/10368, -17166709/10368, 
  -51662923/13824, -2844407/41472, 145686529/103680, 399173/192, -46487/1728, 
  -65/96, -1873/72, 19183525/15552, 94573/10368, -7800127/10368, 41/96, 
  -1423/864, -8016503/13824, -6333955/13824, -1185373/4608, 8695/576, 
  40825/3456, 44867/27, 3856517/4608, 470407/1536, 2003329/41472, 
  -83887231/41472, -6300481/13824, -27871/10368, 4095035/5184, -1181/216, 
  2272139/4608, -31699/384, -2761/96, 2219/256, -19499065/20736, 
  -313795/1536, 1921271/41472, 21897035/41472, 3893/1152, 18365/4608, 
  -4451/384, 2721/512, -975/16, -59443/5184, 7345/1152, 6673/1152, 0, 0, 
  251/24, -341/12, 0, -1625/144, -1625/12, 341/12, -5/48, 971/36, 2999/24, 
  7/48, -251/16, 13/8, 0, -209/96, 1205/216, 12481/240, -24265/864, 
  -245/1728, 3199/1440, 2116301/8640, -1503569/12960, -367/864, 
  -3781319/172800, -4548869/12960, 1669/1728, 2110513/57600, -497/192, 11/16, 
  15133/576, 9989281/129600, 16777/2592, -39/32, -838199/11520, 
  -4965959/194400, 43559/11520, 79966573/311040, -6128419/207360, -53/96, 
  1950113/64800, 61597/3888, -5873/6912, 9376381/72900, -91394693/1866240, 
  -27/32, 115219/5832, 2599093/6998400, 3040765/139968, 0, 0, 85/24, 887/12, 
  0, 215/16, 6689/96, -1069/16, 5/12, -19291/576, -1427/32, -115/192, 
  1213/64, 19/96, -16, -153/2, -2, 9355/72, 521/8, 421/288, -30955/288, 
  115/64, 2, 31, -11/12, -93/4, -2459/144, 0, -7/48, -41/16, -167/24, -53/48, 
  49/16, -91/48, 167/24, -5/24, 81/16, -67/6, 107/24, 7/16, -647/96, 33/4, 
  3/8, 89/32, -29/48, 83/48, 119/48, 95/6, 167/24, -11/24, -113/32, -533/48, 
  -637/48, 31/48, 329/96, 421/48, 11/16, -13/8, -7/8, 0, -1/4, 32/3, 143/8, 
  53/48, -157/24, -11/48, -143/8, -67/12, 753/32, -167/16, 175/32, -1607/96, 
  -95/96, -83/48, 15/16, -527/16, -143/8, 75/32, 97/24, 1069/48, -1/24, 
  -227/48, -55/96, 3/8, -265/24, -857/48, 53/16, 205/48, 857/48, -1003/96, 
  325/48, 649/96, -209/48, 611/24, 857/48, 51/8, -173/12, -115/48, 77/16, 
  127/16, -19/4, -127/16, -1/16, -171/16, -127/16, 47/8, -1, 1, 1, 0, 13/48, 
  -353/72, 7/4, -5/12, 4/3, 1/4, 11/24, -11/48, -43/48, -19/48, -17/2, 11/24, 
  -21/16, 1/12, -9, 673/144, 2219/288, 201/16, -31/48, 71/24, -161/16, 
  -119/16, -9, -11/16, 35/24, 37/12, 241/48, 1/8, 5/24, -5/12, -71/16, -71/4, 
  -11/24, 41/48, 55/12, -43/48, 31/48, -43/48, -119/24, 11/16, -37/48, -7/8, 
  0, 0, 409/48, -413/48, 11/24, -245/48, -571/144, -33/16, 223/36, 21/16, 
  -1/4, -457/144, 49/16, 67/144, 51/16, -1/144, -139/144, 1, 83/72, 5/48, 
  -1/48, -179/48, -451/24, -169/8, 5/24, 5/48, -55/24, 253/48, -151/12, 
  -41/48, 20/3, 239/24, -523/16, 41/8, -57/4, -103/12, -427/48, 193/48, 1/48, 
  -11/24, -11/24, 73/24, 443/16, 459/8, -2/3, -21/8, -55/16, 37/8, 151/48, 
  -577/48, 325/8, 269/24, 43/24, -97/48, 31/48, 5/48, -575/48, -2809/48, 
  43/16, 275/48, 233/16, 293/48, -74/3, -53/24, 77/48, 5/24, 51/2, -45/16, 
  -199/24, 119/24, -5/4, -9/8, -13/48, -7/4, 0, 0, 37/16, 2791/48, 555/8, 
  1/8, -37/48, -249/16, 245/6, -287/48, 287/48, 1711/24, 749/48, -5/2, 
  115/12, -11/24, -43/48, -89/3, -1969/16, -9/16, 391/16, -465/16, -35/3, 
  -787/16, 443/48, 11/16, 55/24, 3271/48, -263/48, -67/8, 59/6, -17/24, 
  -395/24, -19/12, 19/16, -11/48, -7/8, -2867/48, -1679/24, 19/6, 5/6, 
  -1541/48, -191/16, -461/24, -421/24, 25/12, 95/24, 547/6, 173/48, 455/16, 
  -187/16, -47/24, -1075/48, -259/48, 23/6, -10/3, 203/8, 67/2, 109/8, 
  -17/12, 143/24, 43/12, -1715/48, -53/24, -43/48, -23/4, -45/8, 41/24, 
  175/48, 0, 0, 7/16, -361/96, -47/24, 367/192, -235/96, -785/48, -581/48, 
  -5/24, 19/16, -1187/96, 109/32, 2/3, -297/32, 2671/96, 1/8, 1835/192, 
  -43/48, -11/24, -83/24, 49/6, 71/24, 11/24, -4421/768, 743/32, 37/3, 
  203/384, -2871/128, 17/2, -65/192, 1893/64, -43/32, 31/48, -485/96, 
  -1513/96, 1/24, 2323/768, -1975/96, 379/384, 5345/256, 1471/384, 53/48, 
  743/96, -31/32, -155/384, -173/192, -33/16, -7/16, 11/48, -91/128, 103/48, 
  629/48, 491/12, 787/384, -5657/384, 2735/48, 987/16, 47/192, -293/48, 
  -233/3, -791/96, 343/32, 93/16, -53/96, 3593/768, -907/48, -1393/24, 
  -45/16, 2333/64, -5249/48, 4441/384, 3631/384, 71/8, -23/48, 2605/256, 
  997/32, -1037/384, -1291/192, -1063/96, 31/32, -4495/384, 655/192, 7/16, 
  -329/96, 1447/192, -449/12, -875/16, 19/4, 7637/192, -881/48, 773/96, 
  311/96, -23/48, 349/96, 2647/32, 229/2, -2399/128, -27265/128, -469/24, 
  67/48, -89951/768, 1915/128, -131/48, 1777/96, 627/64, 2765/16, -4679/96, 
  -28231/192, 617/24, 29/4, 17545/96, 4249/96, -1355/96, -2185/96, -2615/64, 
  -133/24, -4429/96, -2, 0, -959/1728, 0, 0, -89009/160, -15436535/41472, 
  -1950527/6912, -5/48, -816571/1920, 7356253/13824, 10837703/55296, 
  -29677/384, 2639933/5760, -946133/17280, 7655/192, -127631/768, -2747/128, 
  0, 77/288, 11/48, -4303/480, -32431/96, -7227283/13824, -173/240, 
  -52313/360, -116319115/82944, -3566413/34560, -91923269/103680, 
  199087/2304, -9/8, -954241/15552, 841541/1728, -110099/25920, 4868459/4608, 
  27106549/34560, 4129/288, 71099/216, 2257069/10368, -2771/144, 0, 2981/288, 
  -35269/432, 504449/6480, 3383/864, 115/1728, 2719/20, 5494301/25920, 
  -351311/4320, 349/432, -55823633/172800, -1011817/8640, 1561/432, 
  33023173/172800, -65/32, 11/48, -2224601/5184, 19387567/129600, 28031/1296, 
  0, 3323/288, 29459183/103680, -225031/388800, 0, 1893131/11520, 
  75099667/311040, 1/24, -206619299/1036800, 0, -31/96, 43208147/129600, 
  17327/7776, 11/72, -3001093/6912, -44378411/291600, -109/96, 
  -264678641/1866240, 5/8, -11/32, -351473/23328, 1321/432, 
  1731296827/6998400, 1/12, 3045139/139968, -37/48, 0, -25/192, -341/192, 
  -167/24, 0, 5/24, 103/64, 1853/384, 3847/384, 25/48, -41/48, -2251/192, 
  1949/384, 5/24, 119/24, 1715/384, -277/48, -341/48, 161/32, -11/48, 83/64, 
  -1/24, 637/48, -11/16, -2039/384, 1817/192, -2911/384, -37/24, 1763/384, 
  -3389/384, -653/96, -917/128, 577/48, -23/48, -45/128, -421/48, -23/12, 
  2351/768, -6079/768, 245/24, 1021/192, -43/4, 43/64, 13/8, 365/96, 
  3689/768, -547/96, 7/8, -11/192, 0, 11/96, 475/32, 143/8, -5/24, -713/384, 
  -5533/384, -11443/192, 7/8, 3799/192, -177/8, 73/24, -1303/128, -3/16, 
  11/48, -869/192, 239/192, -1375/64, 3905/384, 53/12, 21853/384, -2035/384, 
  -1267/96, -2609/384, 23/48, 103/128, 113/48, -3331/256, -859/192, 199/32, 
  -151/192, 259/128, 4343/768, 31/64, 0, 21/32, -383/12, -2573/48, -287/128, 
  -5767/128, 26693/384, -383/64, -2521/128, -127/96, 155/48, -519/64, 
  3763/64, 1139/96, -7487/128, 1389/128, -89/96, -203/48, 9331/768, -257/96, 
  -121/192, 5101/192, 2095/48, 5855/128, -4841/128, 9/4, 1465/192, -6607/192, 
  -5513/384, -461/96, -277/32, -135/8, 631/128, 375/32, 2, 1/2, 5/24, 73/24, 
  -11/24, -2765/864, 1/2, 1633/432, 29/48, 25/24, -11/48, -11/24, -41/12, 
  -19/32, -2491/288, 125/48, 3703/432, -1055/288, 289/216, -95/72, 31/48, 
  121/96, -61/48, 1217/144, -47/6, -521/144, 223/96, 11/16, 69/32, 287/96, 
  169/288, 373/72, -7/8, -7/16, -5/2, -1/16, 0, -133/24, -21/8, -649/36, 
  665/144, -251/16, -773/72, -1483/144, 317/48, -11/8, -17/48, 115/48, 
  2689/432, -3689/144, 859/216, 5027/144, 29/12, 671/72, 1339/288, 7451/432, 
  16837/864, -73/48, -151/96, -1265/288, -119/288, -1/48, -19/3, -31/24, 
  -403/48, -3745/144, -6805/648, 109/12, 3/8, 2431/288, 67/36, 8905/432, 
  52853/1296, -23/16, -250/27, -539/144, -1321/864, -1/54, 87/16, -625/1296, 
  -71/6, 575/24, -239/108, -6, -3917/1296, 679/432, 0, -3, -2, 0, 0, 0, 
  4037/480, 15009113/41472, 674305/6912, -35/96, 2450707/5760, 8530193/69120, 
  -66657067/165888, -79585/1152, -9863/128, -569513/640, -2872567/8640, 
  248981/1152, 4075/96, 30097/768, -142345/1152, -3093/128, 7717/576, 1/12, 
  77/96, -329/160, -1105999/3888, -5139353/13824, -18937/60, -42891011/51840, 
  -59879177/248832, 50107/1152, 34014767/34560, 17244617/25920, 
  -1696277/3456, -107819/768, 94955/384, -1799/96, -85/96, -1436969/15552, 
  1081969/6912, 32204/81, 28402133/41472, 280/27, -55508809/103680, 
  256255/864, -80593/576, 3211/288, 38843/288, -2904665/31104, 19361/1728, 
  -55945/1728, -4951/288, 137/36, -5917/384, -11819/96, -462235/2304, 
  -344135/2304, -2731/144, 655063/13824, 359741/1536, -2433077/4608, 
  114011/2304, 79513/2304, -6915629/13824, 1080419/2304, -19813/864, 
  1109047/3456, 28/9, 51387/512, -799/6144, 1908359/9216, 3281/48, 
  -5781875/13824, 1811779/9216, -73403/3072, 7230097/13824, -2714809/18432, 
  -1149869/3456, -12953/384, 1275391/36864, -4883/384, 5742395/18432, 
  -247729/12288, -4013087/18432, 19/2, -7537/1152, 144815/4096, -2, 0, 0, 
  311/288, 2141/288, 10753/288, 215/648, -29/192, 2735/576, 3373/72, 
  3571/2592, -191/18, -12575/576, -1987/576, -631/72, -193/864, 0, -1661/576, 
  17687/432, -93721/8640, -616/27, 515/576, -35281/2160, -1014241/8640, 
  35143/25920, -21737/5184, 2607419/172800, 2576263/25920, 3325/1728, 
  20543/6400, 4805/1728, -869/192, 3863/108, -10043881/129600, 916/81, 
  -177781/1728, 1910417/34560, 27871393/388800, 1502741/11520, 
  -28908133/311040, -4877501/207360, 9041/36, -3948601/129600, -155837/7776, 
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  -120565/5832, -25586893/6998400, 3854899/69984, 0, 1067/1296, 541/288, 
  -473/288, -12937/288, -1265/2592, 11873/2592, 17437/576, -5591/288, 49/432, 
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  -367/48, -81/8, -7361/1728, 27401/192, 1027/12, 3865/864, -79493/1728, 
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  14935/1296, -18650491/15552, 51697/1728, -4365415/7776, 35/24, -869/81, 
  -18893/3456, 705397/1296, 14859995/41472, 325915/3456, 761/36, 
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  -58622615/124416, -5579/576, 5545183/5184, 44055011/62208, -4625135/3888, 
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  58471/720, -725/18, -515/864, 25799/720, 1112011/4320, -1472173/12960, 
  553/864, -4522019/86400, -2012833/12960, 3847/864, 488513/28800, -143/32, 
  0, 77/64, -71231/2592, 137353/2400, 16703/2592, 65/1728, -209/384, 
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  21689/972, -2263/288, -1644823/13824, 247651487/1166400, -886837/11520, 
  -86188013/373248, 55678873/518400, 167/54, -976049/10368, 539291/23328, 
  54905/256, 39729079/1399680, 14872463/186624, -593/216, 1577387/34992, 
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  771253/93312, -625/288, 171203/576, -6698/135, -119/4, 80983/576, 
  -439765/864, -35557/576, -12433/96, 72937/192, -1801/192, -316925/864, 
  -99623/270, -49913/4320, 149237/432, 174683/1728, -11077/192, 4757251/8640, 
  1506197/8640, -9181/64, -829333/4320, 533233/864, -886619/864, 989/6, 
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  33/4, -5/24, 5/8, 25/16, -145/16, -121/12, 67/48, -53/24, 79/48, -169/16, 
  13/6, 19/12, -133/4, -689/96, -1435/48, 113/32, 11/96, 57/32, 841/96, 
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  19/32, -277/96, 137/24, 1083/64, 1031/72, 28289/576, -43/16, 77/32, 
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  -255/16, -277/48, -53/8, -1/6, 187/24, 1235/48, -1289/24, -145/16, 619/12, 
  -2801/48, 865/96, -697/12, 397/32, -149/48, 1415/48, 661/32, 3/8, 2077/48, 
  4091/288, 3881/96, -10357/96, -15053/72, 31795/96, 559/96, -707/96, 
  -479/96, -10603/96, -3535/36, 66385/288, 57/32, -169/32, 3235/48, -191/48, 
  43/3, -125/24, 11/3, 443/48, -763/48, 30, -1315/32, -263/16, -811/96, 
  -743/12, -1349/96, 19/48, 2863/288, -1601/48, 2019/32, 997/12, 1591/96, 
  -4795/288, -71/2, 28/3, 79/48, 41/12, -515/48, -977/48, -1405/96, -31/48, 
  -241/96, 509/96, -3/2, -7/2, 3/2, 0, -2713/288, -13/48, 0, -3617/288, 
  -491/288, 1/6, 1025/288, 0, 0, -11/72, -127/27, 121/96, 0, -227/288, 
  -2015/864, -155/96, -1/24, -1357/96, -11801/864, 5/24, -227/32, 1/6, 
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  -545/288, -1321/432, 37/48, -1/12, 663/16, 71/48, 37/48, 0, 0, 7661/320, 
  -7421185/41472, -1373339/9216, 5/96, -424829/1920, -935047/13824, 
  118838899/165888, 467201/3072, 30149/384, 8697361/5760, 66607361/69120, 
  -92547883/82944, -12673/64, -2313727/1280, -1223849/640, 26837/192, 
  193943/1152, -5387/128, -77/96, 487/160, 1231229/3456, 1226309/2304, 
  159737/960, 20540107/34560, -182073395/248832, -22025081/27648, 
  -46295351/34560, -10012723/2160, -12054581/124416, 60573199/34560, 
  100783969/25920, -302089/1152, 2, 1337023/15552, -224029/3456, 
  -6206359/25920, -31028813/124416, 1873549/13824, 45503881/20736, 
  5339333/2592, -51118907/25920, -4015/288, -225511/1728, 1067695/10368, 
  962477/6912, -22615261/31104, 5341/288, -56573/1728, 0, 106459/1920, 
  -1878803/6912, -10057561/55296, 167/12, -269/96, -2075117/7680, 
  2015999/6912, 7368677/55296, 541/16, 2662097/5760, -147881/576, -929/96, 
  -1135453/4608, -145/6, -1357/160, -5796229/69120, 1527263/9216, 
  844165/27648, 48819/2560, 365933/8640, 3920933/27648, -462187/2560, 
  -2072009/23040, 54169/192, 1413349/25920, 6709501/41472, 310033/6912, 
  -10682147/207360, 915233/10368, 960337/11520, -396931/10368, -52811/768, 
  167339/10368, -22067/1728, -10391/128, 280115/4608, 6170803/13824, -143/4, 
  31753/192, -90247/1152, 122299/512, -1759/32, -498557/1536, -2211/128, 
  -4147/4608, -1175585/4608, -1109081/3456, 60305/1536, -158063/2304, 
  -12325/128, 2268419/41472, -6455/512, -21653/432, 590453/10368, 1733/128, 
  -83381/256, 857/24, 33407/576, -1682573/2304, 59543/384, 6767/48, 
  2416163/4608, 32995/64, -43571/144, 62333/1152, -127/8, 249307/1152, 
  -141323/1152, 2, 0, -1337/432, -5747/144, -341/72, -5/144, 5279/864, 
  229/12, 341/72, -71/288, -317/432, 2999/144, 43/288, -73/32, 19/144, 0, 
  -46519/648, -56485/864, 332/5, -27793/864, -665/576, 7585249/51840, 
  1279303/4320, -1371899/12960, 3839/864, -19537381/388800, -6758323/25920, 
  -581/432, -8980273/777600, -1549/576, 1133/192, 197089/3456, 4912853/64800, 
  32977/2592, 78071/2592, -29804531/139968, -12146593/388800, 
  -6557819/103680, 83214145/279936, 133130509/3110400, -73195/288, 
  -409816279/10497600, 94601/7776, 218695/2304, 1108871087/5248800, 
  45964883/1119744, 92941/288, 472783/23328, -1255917941/20995200, 
  -3717847/69984, 0, 337/54, 1081/16, 259/36, -167/12, 5/144, -1469/96, 
  -4891/288, 77/16, -3/16, 34273/1728, 8167/96, -269/576, -3097/192, 45/32, 
  -151/48, 2251/216, 103/12, 143/4, 253/27, -18799/432, -97/12, -5783/288, 
  50755/864, 725/192, -8233/216, -203/12, -857/24, 43787/432, 233/24, 
  -4469/144, 77/8, 127/8, 1/8, -2, 0, 0, 0, 5/3, 0, 0, -5/12, 0, 0, 5/8, 0, 
  11/24, -13/24, 41/12, 33/8, -33/8, 0, -100/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -20, -43/12, -211/6, -127/2, -6, -13/2, 1/2, -18, -39/2, -1/2, 3/2, -1/3, 
  -3/2, 29/12, 5/4, 0, 10307/16, -19715/192, -64467/64, 96, 123207/16, 1/6, 
  105347/192, -21797/64, -123207/16, 10783/8, 0, 0, 33/2, -609/2, 30839/8, 0, 
  10069/4, -33, 609, -30839/4, -10069/2, -8, 16/3, 0, 0, -40, -32, 124/3, 30, 
  74/3, -59/8, -59/8, -341/9, 400/3, 6400/9, 68/3, -5987/9, -64, -64, 16/3, 
  -64, -592/9, 33/8, 267/4, 128/3, 33/8, 479/8, 0, 64, -64, 3, -7, -31/3, 
  -39/16, -4279/8, 0, -17047/16, -12503/24, 2389/4, 5350/9, 0, 160, 0, 304/3, 
  0, 110/3, -16/9, 0, -10/3, 0, 55/12, -1559/6, -20611/16, 55/12, -96/7, 
  -1547/6, -133669/112, 705/7, -781/36, -48/7, 20/3, 3236/9, -766/21, 
  -11935/36, 473509/672, -256/7, -572629/672, 473677/672, -1276/21, 
  -573301/672, 454987/672, 1376665/2016, -2503/8, -179/8, -591/2, 2827/32, 
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  0, 0, 1/12, 0, -1/3, -5/12, -5353/24, -83273/96, 22, -949/12, -1/6, 0, 
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  -439/3, -18209/36, -3259/36, 2429/18, 0, 5/4, -19/12, -22/9, 67/6, -233/18, 
  77/12, -229/18, 415/36, -7/12, 0, -13/6, 13/6, -7/3, -385/144, -313/24, 
  -55/3, -164/9, -1/6, 3647/72, 0, 0, -28855/144, -54239/192, -22/3, 1081/36, 
  0, 20831/72, 0, 0, 0, 5/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -16/3, -505/16, -2471/48, 16/3, -143/4, -481/12, -427/16, 
  -1133/48, 0, 143/4, 481/12, 0, 0, 0, 0, 0, 45107/48, -12811/24, -737/12, 
  -15379/64, 0, 33/16, 11/16, 0, -16/3, -11/16, 2, 25771/192, -19135/192, 
  -30659/384, -63485/144, -11/8, 425/48, 175855/288, 29635/384, 75367/144, 
  315/16, -35027/288, -315/16, 0, 0, 0, 0, 0, 7/6, 7/6, -1/2, -13/6, 2, 8/3, 
  -17/24, 1/12, 1/4, 7/2, -7/2, -1/2, 0, -5/24, 0, 11/24, -7/8, 1/12, 0, 0, 
  -1/2, 1, -1/2, -1, -13/6, 0, 0, 17/24, 1/2, -1/12, -1/4, -1, -7/2, 7/2, 
  1/2, 85/2, 781/12, 64/3, 64/3, -88/3, 32, -8, 24, -69/4, 53/2, -20/3, 64/3, 
  5/3, 43/12, 39/4, 19/2, 19/2, 15/16, 69/16, -21/4, 7521/8, -6983/8, -269/4, 
  207/16, -711/16, 63/2, -459/16, 189/4, 63/4, 304249/144, -10/3, 
  9034169/432, -1, -2486477/108, 4, 13/2, 181/12, -331/24, 31/24, 
  1092163/288, 411953/1792, 382049/224, -17/3, -10890587/2304, 5601551/864, 
  -383617/224, -1109629/108, -98547/256, -196007/48, -379121/256, 
  -4943291/2304, 743975/768, 5339849/1792, -6535/128, -4867/8, 2792099/5376, 
  71405/72, -5/3, -1247887/288, 3865/8, -40519/36, 875/24, 15362731/2688, 
  -447407/128, -501377/256, -823735/288, 3420685/768, 0, 0, 0, 0, 0, 0, 0, 0, 
  9/4, 1703/6, 313/3, -3577/8, 25/12, 131/8, 124393/24, 6511/6, -49777/36, 
  -33819/32, 0, -15/4, 0, 0, 9/4, -29/4, -55/3, 2381/6, -557, -5475/4, 
  -70171/144, 587/3, 2957/12, 4184/9, -77/24, 17/4, -115/36, -1501/72, 21/16, 
  -35/6, -715/18, 49/8, 7/4, 0, -388/3, 15551/36, 0, 1315/12, 0, 65/4, 
  -17731/72, -27/2, 2495/24, -677/32, -667/16, -8003/48, 10693/48, 1339/16, 
  65485/288, 4471/9, -1805/32, -51701/144, -781/48, 3421/8, -43127/48, 
  11311/16, -29519/32, 88475/72, 45499/96, 10971/16, -57947/144, -7757/12, 
  1895/24, 0, 0, 0, 0, 0, 5/3, -57/8, 451/36, -16739/72, 1843/8, 0, -11/4, 
  589/24, 16057/72, 0, -10579/72, 0, -367/16, 185/8, 253/16, -1241/48, -11/8, 
  609/8, -165, -689/12, 99/4, -7/16, 133/8, 2023/48, -4831/48, 5357/48, 
  -181/48, 145/48, -97/24, 1151/12, -3461/16, 1385/48, -8219/48, 141/16, 
  -2589/16, 1223/48, 791/12, 391/12, 1199/24, 1429/24, -4487/144, 14615/144, 
  3407/36, -9161/48, -4359/16, 6437/144, 1211/16, -2965/24, -1072/3, -57/4, 
  147/2, -7/16, -1/4, 17/24, -5/24, -7/12, 19/24, 5/24, 23/24, -1/24, 0, 
  -23/8, 600239/1152, -1886087/1152, 13794779/2304, 348163/384, 1/4, 
  160769/128, -37970641/2304, -11551781/1152, 1/12, 19355/72, 6297743/576, 
  5/8, 1/12, 5/24, 900257/384, -37960301/3072, -4798207/1536, 17/72, 
  34326353/2304, 29243669/3072, -6297311/576, 1/6, 55985155/9216, 
  8061661/2048, 4683241/9216, -10563019/6144, 1/4, -3/4, 1/8, 1/4, -1/2, 
  407/36, 0, -20281/48, -5/2, 3581/24, 57/8, 409147/48, -22, -46701/16, 
  1653/4, 1/2, 10253/24, -8632/3, -11/24, -407/36, 31525/8, 20545/48, 
  -15733/4, -6017/24, -408883/48, 9307/12, 116357/48, 3431/4, -31525/8, 
  50077/24, 14317/3, 127/2, -50077/24, 0, -75/8, 321/4, 71/2, -507/16, 
  -1029/16, -1465/16, 747/8, 4613/16, -2977/48, 27/2, -163/4, 3697/32, 
  -2019/16, -33399/32, 1627/16, -17/4, 35247/32, 4429/8, -4935/4, 
  -2032957/2160, -3916547/2160, 51351631/86400, 133/9, -2099889623/243000, 
  -8465975099/874800, 58691119/26244, 89/12, -229/12, 35/3, -4/3, 26911/72, 
  1973/12, -1037/4, -197/18, 6551/18, -1121/24, 36, 51613/72, 905/8, 451/18, 
  809/9, -319/4, 11693/48, 123/16, -4957/48, 481/48, 109189/288, 51371/72, 
  27313/72, 118/3, 18983/24, 131585/288, -8513/72, 595/64, 34109/144, 237/8, 
  -124591/144, -172771/288, 619/18, 65875/576, -13493/144, -2669/9, 12847/54, 
  7183/144, 5515/24, -8039/72, 0, 1036663/540, 5/4, 3021107/2160, -145/12, 
  -26910031/86400, 19/2, -4391/32, -11601571/7200, -1752259/5760, 
  -3049343/10125, 17443951/28800, 1907/96, -504401/864, 4085797/5760, 
  -5916457/6480, -4522429/7200, 231906449/36288, -4513922201/1360800, 
  -2126431697/972000, 7120519/5184, 6390757/4320, 1632241/6048, 
  -730855451/151200, -2064017/864, -2105/8, 322049/54, 111269/180, 
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  211/96, -5/24, -397/192, 0, 5/24, -57/64, -7/3, 0, -35/48, -113/48, -5/32, 
  -865/192, 337/192, 1/8, 25/24, -5/24, 1/24, 133/64, -1/12, -17/24, -5/24, 
  -83/24, -347/192, 119/192, 3/4, -35/96, 3/16, 49/16, -181/144, -97/288, 
  -385/96, -805/576, 65/72, 99/64, 1/2, 1/3, 233/48, 781/96, 71/24, 165/64, 
  -49/96, -299/32, -2941/192, -695/576, 889/288, 2347/288, -457/576, -215/96, 
  -31/24, -1523/192, -739/64, -515/288, 713/96, 11365/576, -869/144, 25/8, 
  9/16, 731/96, -1195/144, 1/2, -5/48, 0, 103/384, 607/384, 9/32, 0, 13/128, 
  199/768, 83/192, 0, 281/768, 5/32, 0, 1/192, 0, 0, -661/768, -25/48, 0, 
  -223/768, -105/128, -97/384, -125/256, 0, -145/768, 0, 1/24, 25/96, 0, 
  397/768, 95/256, -5/48, -1/48, -1/48, 0, -35/96, -29/12, -745/192, -33/32, 
  0, -65/96, -1427/384, 121/24, 1975/384, -5/16, -41/48, 2475/256, -2123/768, 
  41/96, 2323/768, -8623/768, 667/768, -1889/768, -235/768, 239/384, 91/48, 
  1903/384, 269/96, 239/384, 199/768, -17/32, -1931/256, -419/256, -869/256, 
  -2489/768, 493/384, 4009/768, -881/384, -1781/768, -12209/2304, -5179/1152, 
  -1781/768, 1081/576, 3539/768, 5479/768, 1357/288, -285/64, 1465/576, 
  901/256, 1465/576, -3265/2304, -5711/1152, -1951/2304, -1951/2304, 0, 
  -5/96, 151/192, -105/32, -321/64, -5/48, 433/384, -2837/192, -817/128, 
  127/128, -457/96, 18289/768, -1789/768, 3535/384, -973/768, -239/384, 
  -67/64, 887/384, 551/64, 1909/768, 10561/768, 14005/768, 41/48, -5089/384, 
  157/384, 1781/768, 9973/2304, -1417/1152, -18625/2304, -41807/2304, 
  787/576, -1465/576, -6917/2304, 6307/1152, 1951/2304, 5/12, 85/32, 653/64, 
  671/64, -43/128, 531/128, -935/96, 151/384, -61/4, 577/192, -163/192, 
  -6779/576, -10535/576, -8191/1152, 199/192, 3317/576, 547/576, 923/96, 
  125/18, -149/288, -13/12, -319/96, -59/16, 349/192, 1547/192, -419/192, 
  179/36, 1765/288, -2663/576, -35/9, -3/4, -3/4, 3/4, 3/4, 5/16, -11/8, 
  1/12, -19/32, 19/12, -1/4, 5/12, 1/24, 7/32, 0, 0, 77/96, 11/16, 0, 
  -113/192, 161/192, 23/48, 0, -25/192, 239/384, 35/96, 0, -253/384, 3/16, 0, 
  0, -1/12, -23/48, 1/24, -301/384, -19/32, 0, -227/384, -5/96, -5/32, -1/2, 
  0, 1/24, 1/8, 5/32, -5/16, 5/16, 0, -331/96, -33/16, 35/96, -7/48, -7/6, 
  -145/48, -103/768, -1303/384, 139/64, -83/64, -235/384, -283/384, 1649/384, 
  335/48, -463/192, 10025/768, -1237/384, -151/768, 1339/768, -14423/2304, 
  -7189/576, 16105/2304, -5321/768, 485/256, 251/2304, 1915/288, 14737/1152, 
  -3371/1152, -2189/2304, -1339/768, -881/144, -43/48, 1447/2304, 5/12, 
  -191/24, -321/32, -13/6, 4927/384, 2933/768, 5789/384, -667/384, 3341/384, 
  -973/384, -671/384, 611/48, 809/32, -2011/128, -2453/128, 113/128, 
  11017/2304, 1499/576, -4589/288, 3487/1152, 6707/2304, -2809/576, -205/576, 
  -23/288, 365/256, -5/48, 1513/96, 671/32, 319/384, -9911/384, -705/128, 
  -6977/384, 577/96, 149/144, -3391/192, -12239/288, 12853/384, 4027/576, 
  499/144, 1951/72, -11827/1152, -211/48, -335/96, -367/48, -59/8, 617/64, 
  1499/96, -419/96, 4457/576, 1621/144, -7633/576, -2447/576, -3/2, -3/2, 
  3/2, 3/2, -5/32, 11/16, 0, 67/192, 11/192, 23/48, 0, 71/128, 35/96, -1/24, 
  3/16, 0, 0, -23/48, 0, 61/128, -19/32, 0, -15/32, -5/96, 0, -1/2, 0, 1/24, 
  -1/24, 5/32, -5/16, 5/16, -35/96, -217/96, -265/96, -33/16, 0, -271/192, 
  2207/192, -13/48, -5/24, 1319/384, -553/48, 1/16, -791/384, 275/384, 0, 
  35/192, 323/96, 295/128, 335/48, -25/96, -491/256, -4697/384, -415/192, 
  5/16, -389/192, 5203/256, 575/768, -979/768, -17/96, 65/128, -847/384, 
  -7379/2304, -7189/576, 281/192, 7337/768, 11965/2304, -273/256, -6023/384, 
  2429/768, -701/768, 373/96, 14737/1152, -651/128, -749/576, 3725/768, 
  -781/1152, -881/144, -191/288, 1447/2304, 35/96, -43/96, -857/96, -321/32, 
  0, 121/192, -7087/384, 2683/128, 0, -519/128, 3367/128, 683/192, -115/192, 
  -3/16, 1665/128, 809/32, 1011/256, 501/128, -4255/192, -991/256, 
  -18665/768, 3461/768, 31/32, 1667/2304, -4553/288, -2611/384, 24683/2304, 
  2679/256, -6961/2304, -7/192, -3011/576, 2749/2304, 229/96, 61/6, 671/32, 
  619/128, -561/16, -5089/384, -91/96, -1901/192, -12239/288, 1517/384, 
  6515/192, 409/192, -163/288, 4151/144, -9751/576, -1469/288, -13/24, -59/8, 
  1665/128, 389/192, 1621/144, -4621/384, -3535/576, -3/2, 3/2, -5/32, 11/16, 
  0, -1/24, 25/96, 0, 13/96, 0, 0, -23/48, -1/48, -5/32, 1/24, -35/192, 
  -217/192, -265/192, -33/32, 0, -271/384, 2207/384, -13/96, -5/48, 1319/768, 
  -553/96, 1/32, -791/768, 275/768, 0, 165/128, 431/256, 269/96, 0, 
  -2015/1536, -47/16, -1729/384, 1/16, -5/16, -37/256, 3161/512, 17/4, 41/96, 
  -631/512, -2/3, 667/768, -773/768, -235/768, -239/384, -9845/4608, 
  -5179/1152, 239/384, 1211/256, 24667/4608, -1/8, -247/1536, -1305/256, 
  -101/24, 29/96, -1969/1536, 47/1536, 1303/768, 901/256, -1303/768, 
  -14441/4608, 99/128, 1505/768, 6511/1536, 55/768, -1951/2304, 1951/2304, 
  -467/768, -1945/576, 35/192, -43/192, -857/192, -321/64, 121/384, 
  -7087/768, 2683/256, -519/256, 3367/256, 683/384, -265/384, 3737/768, 
  711/64, 2107/1536, 1225/768, -121/96, -1561/384, -3/32, -13919/1536, 
  -539/96, -7/1536, 1975/768, -973/768, 4961/4608, -10613/2304, -7037/1536, 
  17705/4608, 3013/768, 403/48, 6803/1536, -253/512, 739/4608, -2065/2304, 
  -7753/1536, -7951/1152, 1945/576, 229/192, 61/12, 671/64, 619/256, -561/32, 
  -5089/768, -677/128, -611/36, 1145/768, 5635/384, 3553/768, 697/384, 
  -59/24, 577/192, 2843/384, -1655/144, -101/48, -3295/2304, 15425/2304, 
  -13/48, -59/16, 1665/256, 335/144, -1011/256, 1001/768, -419/192, 
  4363/2304, -3/4, 3/4, 0, 0, 0, -5/3, -13/6, 3, -1, 6, 0, 0, -11/6, -5/2, 
  -25/6, 7/3, -14/3, 0, 0, 0, 0, -35/12, 7/12, 7/6, -83/24, 19/3, 55/12, 0, 
  -9/32, 5/24, 0, -5, -4, 49/24, -13/3, 125/12, -1/3, -5/3, -25/24, -7/12, 0, 
  11/24, 15/2, 55/12, -11/6, -13/6, -5/24, 17/6, -25/4, 0, 7/2, -7/2, 0, 7/2, 
  -7/2, -35/12, -7/3, 7/12, -7/6, 0, 0, -35/12, -7/2, -49/6, 7/12, 70/3, 
  56/3, -7/3, 119/12, 2, -287/12, 65/6, -11/2, 43/3, -65/6, 7/2, 7/2, 21/2, 
  -7, -21/2, 43/32, -11/6, -3/16, -67/3, -31/64, -2513/192, 11/12, -3/8, 
  149/64, -193/48, 3/8, -1729/96, 0, -25559/384, 19/32, -3/16, 12517/128, 
  111/64, -155/12, -67/6, 55/64, 1199/192, -11/12, 19/32, -13567/384, -67/6, 
  25559/384, -121/144, -29207/768, -4855/384, -9/32, -3547/256, 3427/384, 
  -1475/96, 33943/768, 5/128, -907/96, 343/24, 11/3, -127/16, -9/16, 
  -1633/24, 135/32, 19/24, 37879/768, 5/128, -669/32, 233/24, 1807/384, 
  22271/768, 41/8, -32023/768, -131/72, -7/3, 55/24, -8/3, -5, -89/24, -1/12, 
  -7/12, -10/3, 53/12, -7/3, 23/12, -55/24, 0, 7/3, 5/12, -11/12, 0, 0, 0, 0, 
  0, 0, 0, -26/3, -15/8, 71/24, 29/24, 31/4, -67/24, 1/2, 0, 0, 0, 1/3, 0, 
  -1/3, 0, 0, -1/3, 0, 25/24, 1/12, -55/24, 1/2, -7/24, 1/6, -2/3, -5/6, -1, 
  -1, 0, -1, -7/2, -7, 35/6, 21/2, 91/12, -7/4, -7/2, 7, -6925/256, -91/128, 
  -101/24, 33967/768, 0, 0, 0, -5/24, 1/24, 0, 5/4, 0, -17/12, 5/3, -25/6, 
  19/64, 121/24, 0, -5033/64, -523/12, -17/3, 2507/32, 1263/16, 17/3, 
  -1939/48, -3545/72, -1753/16, -3289/48, -665/72, -6137/288, -20945/576, 
  -3991/576, -49/64, 343/64, 0, -18775/1152, -28765/576, 0, -27457/1152, 0, 
  0, 0, 0, 0, 0, 46/9, 5287/576, 4991/576, 31/18, -3217/576, -715/72, 
  -7855/576, 131/192, -1045/192, 0, 0, 0, 0, 0, 0, -2/3, 0, 0, 0, 65/6, -5/3, 
  -5/6, 13/2, 185/24, 5/3, -13/8, 0, -45/16, 0, 0, 55/24, -1/6, 0, -5, 
  -25/24, 25/24, 0, -5/6, -19/12, -1/4, -1/6, 1/24, -23/12, 625/96, 9/4, 
  -47/12, -31/12, 35/24, -265/12, 22/3, 167/6, -145/4, -29, 117/2, 625/192, 
  625/192, -103/24, -601/12, -625/192, -5/3, -1/4, -3/2, -59/8, 151/24, -5/4, 
  -97/12, -153/8, 109/24, 243/8, -173/24, 97/12, 151/6, -29/2, -151/12, 
  189/128, 1361/32, 0, 1417/384, 0, -1361/32, 73/96, 8279/96, -12623/192, 
  555/8, 787/192, -7/32, 78149/1152, 73103/1152, 1/3, 55/384, -2957/384, 
  -5/4, 0, 36077/768, 17189/384, 73/96, 5/24, 388373/2304, 2619/64, -9/8, 
  -117473/576, 0, -7/6, -925/384, 119/144, -322127/1536, 25681/2304, 
  129073/576, 31/8, 2359/384, -5165/384, -13/12, 0, 0, -28495/192, 
  -37333/144, -50519/576, -6223/144, -85987/1152, -6011/144, -3227/128, 
  -1759/192, 39/4, -1/4, 0, -553/96, -29177/576, -14315/96, -5/3, 11953/288, 
  -8907/64, 7/12, -1951/36, 0, 11/3, -1465/192, -61439/1152, -521/96, 55/12, 
  -15481/1152, -1/4, -403/48, 297/64, -1/4, -4099/128, -1913/192, -1/4, 
  21461/576, -155/32, -1631/48, 0, 0, 353/72, -5/8, -3115/96, -1/24, 
  -289/144, 157/9, -707/144, 763/72, 5053/288, 1/12, 0, 1/6, 0, 0, 19/6, 0, 
  -10/3, 0, 0, 1583/288, 473/18, 1421/192, -1097/288, -3869/192, -935/576, 
  -91/48, -321/64, 1/4, 0, -607/288, 37/96, -5/4, 849/64, -23/12, 0, 157/96, 
  341/192, 5/3, -5599/576, 23/12, -11/3, -165/64, 41/96, 1/4, -7, 0, 19/48, 
  -17/12, 35/8, 91/32, -1417/192, 23/4, -39/8, 157/96, -71/12, 37/12, 13/6, 
  -13/4, 121/24, 85/12, 5/16, -5/16, 0, 45/16, -5, 0, -11/12, -55/24, 5/2, 0, 
  -11/24, -5/24, 5/2, -5/6, -1/24, -3/2, -19/4, -5/6, 29/4, -17/12, 121/24, 
  -5/24, -10, 25/6, 2/3, 11/2, -217/12, -305/24, -1/12, 13/3, 75/8, -161/12, 
  -143/12, 61/12, 95/24, 129/8, -9/8, -161/24, 220/3, 121/2, 449/24, -737/12, 
  401/12, -200/3, 1031/12, 605/12, 101/12, -401/6, -1031/12, 401/12, -625/64, 
  73/54, 43/18, 11/12, 25/6, 1/6, 10/3, 5987/384, -3581/192, 73/48, 
  175985/1536, 221605/768, 73181/384, -401353/1536, -171845/768, 3419/64, 
  -25/12, -3035/128, 175/288, -95083/512, 229601/2304, 321061/1152, 89/24, 
  1207/192, -935/64, -7/3, -4099/64, -1491/256, 1271/64, -5617/384, 
  -8665/1536, -157/24, 87817/2304, 5413/1536, 22249/1536, -111677/1536, -5/2, 
  -7501/864, 34139/1152, 55/24, 665/192, 1/12, -390505/4608, 18577/1152, 
  -16207/768, 234995/1536, 0, 0, 5/2, 0, 0, -19/6, -1/6, 0, 47/16, 263/144, 
  -5/8, -2239/96, 55/16, 0, -803/144, -1361/72, -5/24, 5653/288, -55/16, 
  17/4, 3593/144, -79/72, -21/8, 1/24, -8/3, -29/6, -17/8, 1/8, 7/3, 53/24, 
  -29/24, 5/6, 25/24, 0, 0, 0, -5/12, 5/24, -19/48, 5/24, 3/2, -75/16, 
  -59/32, 1249/192, 1/24, -15/8, 0, 0, -19/16, 0, -1/12, -1, 35/48, 0, 25/48, 
  37/48, -35/96, -163/96, 967/192, -449/192, -643/64, 743/96, -1691/192, 
  -73/128, -9959/1152, 2291/144, -1/32, -7421/2304, -11/48, 9603/64, 
  -21863/384, 5371/576, -6019/144, 91591/3456, -16025/432, -20095/768, 
  161305/768, 8873/256, 13115/288, 15545/6912, 4031/108, -411347/2304, 
  -314441/2304, -11029/432, 44111/576, 0, 0, -265/192, -57583/576, 
  -20707/192, -4351/192, -5143/144, -28873/576, -127459/1152, 13085/384, 
  10631/288, -3903/128, -5775/128, -2339/96, 341/192, 77/192, 0, -32665/2304, 
  -27865/384, -265/192, 0, -300643/2304, -15499/576, 41/48, 52291/576, 0, 0, 
  -5/96, -55/288, 43/72, -73/96, 0, -15/32, 19/48, -209/288, 2527/288, -87/8, 
  0, 0, -11/144, 115/32, -14489/288, 0, -4897/144, -941/54, -100013/1728, 
  -27379/1728, -253/36, 44173/1728, 117761/1728, 6827/216, 195/16, -133/36, 
  -12433/576, -4397/192, -221/192, -149/192, 0, 5/24, -113/72, -109/144, 
  53/24, 0, 0, 0, -13/12, -7/24, 13/12, 0, 0, 0, 19/96, -17/24, 5/12, 85/48, 
  473/192, -1417/384, 1/16, 0, 5/48, 0, 0, -23/24, 13/16, 71/48, 13/8, 
  325/192, 0, 0, 3/2, 1/48, 29/24, -7/48, 65/48, 0, 5/8, 0, 0, 0, 0, -7/8, 0, 
  -25/12, 1, 119/12, 11/24, -59/32, 851/24, 937/96, 63/64, 1049/192, -65/24, 
  -2425/96, -695/192, -43/64, -3/8, -29/24, -109/96, -83/16, 211/96, 17/3, 
  -15/32, -15/32, 0, 0, 0, 0, -65/32, -305/192, 0, 0, 0, 0, 125/48, 0, 65/64, 
  5/8, 0, 35/16, -1/4, -1/12, 31/24, 7/24, -7/24, 13/24, 23/24, 43/12, -1/6, 
  7/12, -217/288, -387/32, -1825/144, 1/3, 0, -1/4, 79/64, 49/96, 665/192, 
  -249/64, 1/24, -13/8, -211/96, -169/32, 221/192, 359/48, -611/96, 239/576, 
  7/4, 105/16, 445/96, 1/24, -95/6, -263/16, 3/4, -151/24, -61/24, -11/32, 
  -1001/192, -833/96, 29/24, -1, 23/16, -5/2, 5/6, 5/12, -59/16, 13/16, 
  -1681/48, -101/4, 373/24, 979/96, -121/32, 521/96, 1099/96, 617/16, 
  -1921/48, -5975/48, 1331/96, -7597/96, -3151/32, 5593/96, -281/4, -1015/8, 
  -125/16, 625/128, 625/384, 57/16, -23/12, 95/96, -701/192, 65/192, -29/96, 
  65/48, 291/16, 1381/192, -1061/192, -4373/192, -37/4, -23/96, -11/24, 
  3881/192, 1159/48, 11/24, -371/8, 143/48, -1675/96, 5855/96, -1331/96, 
  4235/96, 559/96, 1061/8, 1067/48, -559/96, 235/4, 323/48, 8237/48, 125/16, 
  -323/48, -625/384, -625/96, -625/384, 625/384, 0, -5/12, 1/2, -5/24, 
  121/48, -293/48, -59/48, 329/48, 11/12, -427/96, -29/3, 2587/192, 161/32, 
  -791/96, -19/12, 1661/192, 7/48, 161/32, 2/3, -11/6, -1/8, -201/16, -149/8, 
  -197/12, -229/24, 917/96, 2487/32, -27/8, -2329/192, 283/64, -923/24, 
  133/96, 5617/96, -299/96, -11191/192, 783/64, -197/48, -17995/384, 285/16, 
  3215/384, 0, -323/144, 259/648, 153/16, 39/16, 1805/288, -1/12, 13/48, 0, 
  -7177/288, -4337/144, -112285/1152, -2219/64, 205759/1152, 65245/576, 
  28375/288, 493781/1536, 461491/2304, -6881/288, -574073/1536, -737195/2304, 
  73529/1152, 0, -7195/1152, -4735/72, 153/16, -61835/2304, -326279/2304, 
  13819/192, -101687/768, 168049/1152, 970033/4608, 1/6, 661/96, 1805/288, 
  79861/2304, 20873/2304, -145747/4608, -1/3, 13/48, -25/32, 0, -5095/288, 
  10093/576, 8711/1152, 0, -31751/1536, 70273/768, -937/144, -2/3, 
  176777/512, -13229/256, -11/48, -130985/384, 0, 0, -2455/1152, 2047/576, 
  153/16, 8935/576, -52165/1152, 85/32, -63277/2304, 52141/1152, 17417/288, 
  1/6, 11/3, 1805/288, 69733/2304, 28289/2304, -127603/4608, -1/3, 13/48, 
  -25/32, 3361/32, 13309/192, -103/32, 487121/2304, 56521/768, -63/16, 
  -1992485/9216, 691361/4608, 73529/1152, 0, -1927/288, -250049/10368, 
  -2749/64, 0, 13/192, -32707/1152, 1/12, 361/192, -7582139/41472, 
  -230435/4608, 3368845/27648, 7600277/41472, 7582139/41472, 0, 1550335/9216, 
  0, -5/48, 0, -307645/18432, 51325/2048, 0, -51325/2048, 0, -287/96, 
  -96067/2304, -17867/192, -265/96, 0, 94225/2304, -347707/2304, 
  -122557/1152, -5/16, 116513/2304, 18295/576, -1/6, -67153/1152, 0, 0, 
  43/64, -10379/384, -28873/576, 37/32, -5589/128, -132439/1152, -6089/288, 
  68723/576, 77297/1152, -5/12, 119/64, -3903/128, 425/192, -7107/128, 
  -1975/64, 341/192, 29/192, -2057/64, 331483/27648, -281839/13824, -3361/64, 
  -1266113/55296, 189877/4608, 3781/24, 52793/1152, -33401/768, 
  -5044639/27648, -253/96, -18168797/82944, -25537/9216, 1777465/55296, 
  -7427261/41472, 887/96, 15775/6912, 1/4, 973181/3072, 2327171/55296, 
  -394841/4608, -21379403/55296, 50663/256, 169877/6144, 12388007/82944, 
  -464611/9216, -2203943/55296, 29117/6912, 150169/6912, -1077467/4608, 
  -738253/4608, -621313/27648, 313463/6144, 0, -5/192, 0, 11/192, -59/144, 
  19/192, 0, -259/72, -21221/864, 39713/864, -5/48, 31/2, 20173/216, 41/48, 
  1283/288, -13/24, 0, 73/24, 38707/576, -183643/1728, -5/64, -6805/576, 
  -111941/432, -91/96, -13067/576, 13/24, -77/576, -8759/288, 11759/144, 
  -515/576, 121519/576, 7541/576, -25/36, -15, -8435/192, 127/192, 0, 
  569/144, -31319/576, 15/64, -5753/144, 0, 0, -445/64, 21685/288, -25/64, 
  5561/144, 0, 207/64, -46/3, -5/144, -775/192, 0, -3/4, 0, -19, 0, 0, 3/4, 
  81/4, 0, 39, 0, 0, -81/2, -20, 81/4, 0, 25/96, 0, -49/32, -7/16, 239/96, 0, 
  5/192, -19/48, 5107/576, -6529/144, 167/6, -31/8, 10423/288, -6359/288, 
  5675/64, 0, -613/288, 12791/864, -941/54, -5/16, 12965/576, -92183/1728, 
  -89/48, -5603/576, -21/16, 0, 425/288, 839/576, 44173/1728, -5/24, -225/64, 
  135347/1728, 5/4, 1217/72, 21/16, 113/72, -331/64, -133/36, -583/288, 
  -15205/576, -3385/576, -121/36, -221/192, -1495/576, 53/24, 0, -215/192, 
  491/192, 37/32, 937/288, 4519/1152, -31967/576, 7153/576, -775/16, -313/12, 
  1/12, 1/24, -7/6, 0, -1/12, -41/6, -3077/192, -2245/192, -23/16, 181/96, 
  241/96, 1835/192, 389/24, 1517/192, -1397/192, 271/192, -1283/192, 
  -2539/192, 1237/144, -11/36, -1843/576, -109/24, 101/12, 475/24, 23/3, 
  29/24, -28/3, -67/8, 11/2, -7, -6, 0, 0, -53/16, 13/12, -5/6, 5/3, -25/48, 
  149/96, -41/8, -323/288, 1/16, 5/6, -325/48, -151/64, -67/144, -241/24, 
  895/48, -583/96, 193/12, -1123/96, -23/4, 5/24, -7/24, 23/24, -13/24, -5/2, 
  1/3, -7/24, 335/48, -7823/384, -1217/96, 6905/384, -1819/144, 141/64, 
  -43/288, 0, -145/96, -593/96, 55/24, 335/48, 35/48, 33/8, -1/4, 5, 545/192, 
  323/32, -403/24, -151/192, -417/64, -1135/64, -1217/96, 1591/192, 4055/192, 
  -8905/384, 3719/192, 427/12, 393/128, -623/288, -1819/144, -5849/384, 
  2591/288, 3509/384, -2803/1152, -43/288, 155/576, 0, -5/24, 5/48, 5/24, 
  -1/3, 43/96, -319/288, 53/72, 0, 0, 0, 31/24, -113/24, 547/288, 7/24, 
  -7/48, -9/16, 1097/288, -1/2, 35/64, 0, -47/48, 0, 23/24, 0, 0, 0, 99/64, 
  35/64, 0, 0, 65/96, -15/8, 0, 27/16, 0, 0, 0, -1/6, 65/192, -397/48, 
  1739/48, 283/32, -6443/384, -491/24, 23/48, 6871/192, -125/32, -749/192, 
  -397/48, 1387/192, 11435/384, 7705/192, -2551/384, -403/48, -2677/128, 
  1357/384, -5861/288, -3275/384, -5/48, -43/288, 13123/384, 6871/192, 
  -13549/384, -35/192, -1/128, -175/384, 23213/384, 0, -23213/384, 29/48, 
  233/48, 1487/192, -1487/192, 23/24, -35/96, -17/48, 649/96, -125/32, 25/24, 
  -55/12, -5/12, 211/32, 823/384, 709/48, -2851/192, 0, 107/64, -71/96, 
  -845/64, 1387/192, -5/8, 281/32, 773/48, 1/3, -2789/128, -2033/96, 
  -977/384, 13043/384, 2965/192, 41/64, 1511/384, 12799/1152, -2551/384, 
  -1753/192, -4051/384, 201/32, 2657/128, 1781/96, -5561/128, -355/384, 
  119/48, 1357/384, 1317/64, -3001/144, -4823/384, 571/1152, -5/48, 
  -4567/1152, 407/96, 0, 81/4, 5/48, 10249/192, -421/384, 7727/384, -119/192, 
  -935/192, 2735/96, 34015/384, -941/24, 7783/1152, -11405/1152, -4169/384, 
  -121/36, 1365/64, -2089/1152, -13/8, -43/192, -2245/64, 73/12, 76769/384, 
  -305/128, 383/96, 643/32, -2705/64, -3629/288, 23297/1152, -223/72, 89/48, 
  -571/64, -369/32, 2221/192, -2675/288, -60155/1152, 1969/288, 4/3, -1/16, 
  -731/96, 137/18, -1/2, 0, -5/96, 65/32, -103/12, 31/48, 0, 27/32, -61/6, 
  163/24, 0, -365/96, 207/32, -5/24, 101/48, 1/6, 0, 5/8, -61/48, -251/384, 
  1013/192, -517/128, -239/192, 371/768, 1073/768, -9737/768, 2303/256, 
  1781/384, -5567/768, -1369/192, 16397/768, -1465/288, 7675/576, 5231/1152, 
  1951/1152, -275/36, -809/128, 3467/384, -29/8, -5833/384, 5671/384, 
  1829/64, -3543/64, 4907/96, -1043/192, -16177/576, 36767/576, -59939/1152, 
  -5333/1152, -9803/576, 6023/576, -527/96, -3071/384, 10399/384, -2021/192, 
  3221/72, -37085/576, 45329/1152, -78601/1152, 19483/288, 33389/1152, 
  3707/384, -27737/768, 9089/256, -32417/2304, 4505/144, 10175/2304, 
  3697/768, -2063/768, -2447/768, -247/32, -157/32, 0, -271/48, -31/12, 5/8, 
  3349/384, 2611/192, -67/48, -5059/768, -1559/768, -355/384, -165/128, 
  179/384, 3359/768, 227/12, -239/192, -6425/768, 113/24, 247/768, 
  10493/1536, 2203/256, 155/48, 7533/512, -659/768, -1385/4608, -13229/1152, 
  1303/384, 8323/2304, 8059/576, -1621/384, -8641/768, -4517/384, 1445/2304, 
  2561/1152, -1951/1152, 5479/1536, 127/18, -397/2304, 23185/768, 4579/192, 
  -2107/768, 3539/192, 7781/192, 239/192, -6781/256, -9767/768, 8029/768, 
  15185/768, -273/128, -5917/768, -1193/32, 7945/768, 4645/192, 6137/96, 
  -5893/192, 53009/768, -10811/768, 17767/1152, 39001/2304, -625/576, 
  -50875/2304, 41537/1152, -575/36, -4109/576, 217/192, -6533/128, -8129/128, 
  -101/16, 24517/384, 176/3, -3247/384, 12971/192, -4421/192, -493/128, 
  2167/72, 36521/576, 50741/1152, -505/6, 12685/1152, 859/384, -34027/1152, 
  -40457/1152, 31/64, 1879/384, 48569/1536, 15139/384, 313/16, -16203/512, 
  3679/96, -2647/192, -161245/4608, -44093/2304, 3415/384, -9/2, -1583/384, 
  -1777/768, 2831/768, -35/192, -319/192, 313/96, 137/32, -23/32, 0, -63/128, 
  -619/384, -175/96, -133/32, 5/24, -217/256, 2905/768, 3/4, -5/16, 9581/768, 
  3025/768, 359/96, -1765/192, -343/96, -139/192, -1259/768, -793/64, 125/48, 
  -11/24, -1/24, -559/96, 447/16, 43/24, -17551/1536, 1627/96, -1099/96, 
  7975/512, 407/48, -1523/4608, 6899/2304, 871/384, 37/96, 9835/2304, 
  4075/2304, -409/32, -3851/384, 2387/192, 401/512, -41/576, 23/24, 
  -13225/4608, 751/64, 1045/2304, -85/96, -2747/768, 19/64, 2197/192, 
  -337/96, 185/32, 4339/768, 1157/256, -19067/256, 175/32, -3103/768, -19/6, 
  40699/768, -1653/256, 30491/768, 1213/96, 1067/64, 419/64, -535/32, 
  -18073/384, -20639/768, 1967/192, 44755/768, 523/24, 3439/192, -5819/256, 
  -5303/256, -25009/2304, 2433/64, 3047/96, 2483/288, -7083/256, 47/12, 
  -5573/2304, -2045/192, 237/64, -529/384, 567/128, 1425/64, -2051/64, 
  475/384, 21353/384, -5759/64, 913/24, 7433/192, -3221/96, 179/12, 6265/288, 
  8459/128, -17269/192, -59599/1152, 3853/192, -3791/128, -1601/36, 
  16625/192, 1029/64, -8935/384, -7385/1536, 1313/16, -26299/256, -46785/512, 
  56699/768, 33533/768, -32719/1536, 9361/96, -5221/256, 881/256, -1199/128, 
  -5, -1009/384, 0, 35/192, 7/32, 131/48, -23/32, 155/192, 141/128, 49/48, 
  -37/12, 59/384, -5057/768, 73/96, 2671/384, 5279/768, -725/96, -17/16, 
  -25/16, -1033/64, 125/48, 0, 351/256, 2239/768, 551/32, -3/4, -5039/512, 
  2891/384, -61/96, 5651/512, 61/48, 431/128, 7223/2304, 871/384, -7/12, 
  -10567/1536, 2563/2304, 53/96, 457/192, -97/192, 1027/1536, -41/576, 
  137/96, -13753/4608, 1703/192, 1045/2304, -85/96, 0, -1029/256, -451/256, 
  -1127/64, 31/8, -35/48, -285/256, -7271/384, 1565/64, 65/96, 8833/384, 
  3633/256, -215/192, -2035/768, 1319/384, 1529/256, 3965/384, 6221/768, 
  -15665/384, -119/12, -1361/24, 3645/256, 13127/768, 27137/768, -3233/192, 
  -14977/768, -85277/4608, 7013/192, 13075/384, 68051/2304, -4975/768, 
  1447/144, -12155/2304, -17429/1152, 21/4, 493/256, -2009/768, 32369/768, 
  -279/8, 965/384, -50029/768, -10087/96, 1027/768, 8717/96, -3221/384, 
  -2585/768, 14365/1152, 521/8, -359/128, 5029/2304, 22871/768, -11473/576, 
  -14257/256, 62609/1152, 30167/1152, 1/12, -42317/1536, 30305/384, -391/192, 
  -18825/512, 825/64, -1825/288, -33031/1536, 103381/1152, 12947/2304, 83/6, 
  -5033/192, 8023/256, -13063/1152, 2063/384, 47/96, 7619/576, -6161/288, 
  -1/6, 13/192, 2827/288, 10069/512, 71/256, -19811/4608, 11/96, 
  -6069043/82944, 909931/3456, -596449/18432, -15053/18432, 2978101/27648, 
  -2821307/18432, -3270079/27648, 1101277/9216, 2845349/55296, 609535/13824, 
  -280151/5184, -1326377/55296, 165235/2304, 663227/18432, -767551/6912, 
  -8811103/55296, 441847/27648, -67259/1024, 747307/18432, -611119/13824, 
  -925111/27648, -286463/3072, -2187235/18432, 6808879/55296, 223097/864, 
  -2424769/27648, 2825525/18432, 3255607/18432, -2427299/13824, -95193/1024, 
  143/288, 1277/5184, 0, 1/48, -1/24, 0, 0, 0, -13/48, 0, 0, 0, 0, 6739/576, 
  1507/192, 55181/1152, 0, 13163/576, -396151/4608, -15749/192, -14135/288, 
  0, -1558033/9216, -6085/36, 8531/576, -1/8, 1830389/9216, 321841/1536, 0, 
  -67213/2304, 1/12, 0, -2527/768, 2299/72, -153/16, 0, -11953/2304, 
  33377/576, -102191/1152, -3161/288, 719287/4608, -187301/2304, 
  1244149/9216, -179471/3072, -50809/1024, 1/24, -263/64, -1805/288, -1/48, 
  -23747/768, -202945/4608, -23443/1152, -386129/9216, -189767/3072, 5/24, 
  -13/48, -1/48, 577/192, 9883/768, -1/12, 0, -28265/1152, -937027/41472, 
  38975/20736, 1287541/82944, 4653613/165888, 67243/13824, 184371/4096, 
  611261/36864, 517/192, 316363/4608, 2168731/41472, 877291/82944, 
  -266427/2048, -30607453/110592, -16257931/110592, -1747/128, -294701/4608, 
  -133297/4608, 69065/27648, 470237/27648, -56327/1728, -40853/3456, 
  159691/6912, 149461/3456, -5989/384, 314311/4608, -11615/768, 
  8843851/55296, 8526175/110592, -875353/12288, 63373/1536, 4343/512, 
  -1282381/13824, 7261309/55296, 7401365/110592, 7127867/36864, 108511/13824, 
  1756463/27648, -225133/9216, -7247/1728, 559277/3072, -154411/512, 
  -8609297/36864, 4556317/9216, 788965/36864, -2178173/9216, 22411483/55296, 
  -3352327/55296, 184891/4608, -630443/3072, 383107/6144, -314371/6144, 
  1805761/9216, 2, 0, 5023/576, -7453/384, -5317/1152, 0, -26101/2304, 
  -77849/1152, 1979/576, 11/24, -503477/2304, 1817/64, 7/16, 245339/1152, 0, 
  0, -2267/768, -3143/1152, -153/16, 0, -221/9, 140599/4608, -883/576, 0, 
  -184403/9216, -82253/4608, -1/12, 23105/2304, 1/12, -1/6, -5/2, -1805/288, 
  0, -6705/256, -50653/4608, 13/48, 56935/9216, 527/9216, 5/24, -13/48, 1/48, 
  67/48, 8327/768, -1/12, 0, -2993/288, 403711/9216, 3892003/82944, 
  1287541/82944, 25/96, 976541/9216, -117413/576, -888179/18432, -1/64, 
  -362995/2304, 243857/36864, -445/384, 3691921/36864, -425/384, 517/192, 
  38717/768, 2469499/41472, -3478565/82944, -182203/2304, 897197/55296, 
  3494473/55296, 168327/1024, 26930611/110592, -251711/2304, -5299/384, 
  -794831/13824, -293005/4608, -855871/13824, 249595/6144, -15008179/55296, 
  -53573/3456, -35291/3456, 481397/13824, 149461/3456, 367/192, -230539/4608, 
  5892415/55296, 21966193/165888, -196379/3072, -1037225/3072, 
  15298735/55296, 307357/3072, 3072893/6144, -746227/36864, 4625/48, 
  5937979/55296, -373217/18432, 29526313/55296, -23138645/55296, 
  -91553287/110592, 14165/256, 897595/18432, 509981/1536, -191983/13824, 
  186283/3072, -486401/6144, -27463841/110592, -58823/384, 159229/3072, 
  -562327/12288, -41255971/55296, 8756285/36864, 33625721/36864, 
  -4958857/55296, 317753/4608, 5093063/36864, 2626577/18432, 4337953/27648, 
  -92633/2048, 0, -5/192, 1/16, -49/72, 5029/1152, -277/144, 29/128, 35/24, 
  37/48, 0, 25/96, 59/384, 7/16, -3191/1152, -1483/384, -1103/384, 
  -36547/1152, 64345/1152, 2431/192, 0, 15/128, 1/6, -55/72, -1843/576, 
  1093/192, -14723/192, 53335/288, 2143/64, -497/576, 10145/1152, -16507/384, 
  43909/144, 7043/144, 90601/1152, 26, 0, 5/384, -7/384, 0, 49/144, 
  -4919/2304, 317/288, -29/256, -69/128, -37/96, 0, -1/24, -31/96, 15/16, 
  -33/16, 0, 247/288, 1909/108, -1711/108, 0, 103/192, -78815/1728, 
  -8735/288, -17/48, -3073/144, -23635/576, -11/48, 679/192, 1/3, 0, 
  -337/1152, -19361/1152, 5813/288, -49/96, -5/384, -4571/2304, 271241/6912, 
  38561/576, 9/128, 46489/2304, 925151/6912, 17/32, 5675/1152, -1/3, -49/144, 
  541/2304, 8567/2304, 365/192, 1679/768, -251/256, -15181/256, -509/384, 
  -856709/6912, -4213/1152, 1045/2304, -13/384, -63/64, -911/768, 37859/2304, 
  33779/1152, 209/768, 1/24, -105/128, -37/96, 0, 1993/48, 205/192, 
  554309/2304, -55/64, 542471/2304, -505/256, 14723/768, 47/192, -95/18, 
  -73195/1152, -3143/2304, -361367/1152, 2875/256, -580219/2304, -33143/2304, 
  -5227/256, 3883/576, 118309/1152, 31195/288, 14285/2304, 28955/768, 
  -349/96, -23031/256, -4493/384, 293/144, -603/32, 1835/576, 195683/2304, 
  -19801/1152, 371849/2304, 27049/2304, -140641/2304, 70961/768, 
  -149617/2304, -10925/768, -2233/192, 268429/2304, -4459/288, 45433/768, 
  -31103/576, -68807/1152, 4363/96, 187061/384, 62557/288, -263251/2304, 
  5251/72, -9743/288, -144961/288, 715/1152, 166879/2304, -26, 237/16, 
  -140735/2304, -2, 0, -727/384, 3421/192, -49/96, -85/384, 35435/2304, 
  10225/288, 1/128, 49405/2304, 0, 0, 1753/1152, -5737/2304, 365/192, 5/384, 
  1319/288, -125917/2304, 73/384, -47125/2304, 0, 49/144, -913/384, -63/64, 
  -2845/768, 36311/2304, 13/288, -29/256, 1/24, 641/384, -37/96, 0, -143/64, 
  -26525/768, -3757/384, 0, 2777/384, 16229/384, -85/256, 33749/768, -1/4, 0, 
  6755/2304, -13861/576, 6647/1152, -5/128, -42377/2304, -334/9, 37/384, 
  -14447/768, -49/128, 397/288, -16795/1152, -21845/1152, 9637/1152, 
  38641/2304, -34931/2304, 43343/1152, 3803/1152, -194957/2304, -1093/64, 0, 
  143/64, 29705/768, 16897/384, 0, -361/48, 13633/768, 25/256, -7401/128, 
  -1/12, 389/768, -14131/384, -17975/768, -2189/1152, 391/72, 13321/288, 
  212693/2304, 55211/2304, -643/192, -74171/1152, 0, -129/64, -2979/32, 
  2897/1152, -11377/64, -10145/2304, 17477/192, 9443/128, -6551/18, 
  -85949/2304, -17/8, 471/8, -91105/2304, -369997/2304, -35/96, -217/96, 
  -265/96, -33/16, 0, -67/64, 2641/192, 239/96, 33/16, -5/24, 1861/384, 
  -1473/64, 13/48, 13/48, -1055/192, 553/48, 251/384, 791/384, -275/384, 0, 
  565/192, 2161/384, 803/96, 33/16, -1519/768, -157/16, -9613/384, -16/3, 
  491/256, 12415/768, 4165/192, -7625/768, -2277/256, 2411/256, -239/192, 
  -15785/2304, -14237/1152, -269/48, 10253/768, 19579/768, 5771/288, -77/24, 
  -50131/2304, 3331/768, 1781/384, 26063/2304, 5179/576, -101437/4608, 
  -23459/1152, 5125/4608, -1465/288, -901/128, 46937/4608, 1951/1152, 35/96, 
  -43/96, -857/96, -321/32, 17/64, -2305/128, 11477/384, 321/32, -1799/384, 
  4297/96, -2683/128, 2923/384, -3367/128, -683/192, -335/192, 1303/128, 
  1495/48, 321/32, -5527/128, -6751/384, 479/384, 8141/2304, -341/18, 
  -711/32, 20279/1152, 6877/2304, -2111/1152, 10613/1152, -331/192, 
  -739/2304, 229/96, 61/6, 671/32, 941/384, -2171/48, -671/32, -3473/192, 
  561/16, 5089/384, -2489/192, -397/9, -671/32, 9937/144, 3647/192, 2437/96, 
  611/18, -3481/384, -2843/192, -13/24, -59/8, 5203/384, 59/8, -1665/128, 
  187/36, 59/8, -20345/1152, -335/72, -3/2, 3/2, 3/2, 35/96, 197/96, 265/96, 
  33/16, 0, 35/192, 197/64, -35/3, 39/32, -155/192, -359/384, -2445/128, 
  1049/96, 11/128, 4601/768, 63/4, -2197/384, -4795/768, 735/128, 0, -165/64, 
  -431/128, -269/48, 29/96, 193/256, 5789/384, 87/32, 289/96, 5353/768, 
  -7207/768, 2873/512, -2645/384, 13525/1536, 239/192, 9845/2304, 5179/576, 
  143/96, -4255/384, -3475/256, -11281/1536, -10097/576, -881/48, -1303/384, 
  -901/128, -12367/2304, 19279/4608, 6317/1152, 1951/1152, 799/256, -35/96, 
  19/48, 49/6, 321/32, 317/192, -3583/384, -711/32, -6245/2304, 10613/1152, 
  -739/2304, 0, -13/12, -337/96, -671/32, -13/48, 611/96, 9557/288, 53/64, 
  -1363/96, -107/192, -25/24, -407/48, 59/8, 421/96, 179/144, -107/32, 25/8, 
  3/2, -25/8, 0, 0, -1/16, 11/12, -1/6, 0, 35/64, 991/192, -235/96, 59/32, 
  65/64, 1609/384, -5257/384, 283/48, -215/384, -13273/768, 3085/384, 
  2593/384, 3641/256, -1411/192, 247/192, 47/192, -115/192, 167/96, 1/12, 
  -809/192, -1133/192, -7475/384, -97/48, 1975/768, 4711/768, 305/64, 
  -13135/1536, -1319/128, -19415/1536, -2147/384, -185/192, 203/96, -79/64, 
  4119/256, 12475/1152, 2065/128, -12019/1536, 9247/576, 25475/768, 
  9535/1152, 119/288, -271/384, -100463/4608, -6761/512, -5095/4608, 
  -6419/1152, 11/72, 46441/4608, 1843/1152, 35/96, 161/96, -83/32, -121/32, 
  91/192, -1281/64, 15343/384, 1073/384, -2957/384, 21229/384, -6971/128, 
  379/32, -16457/384, -791/192, -25/24, 881/384, 2909/384, 17/6, -213/32, 
  -3167/384, -19447/384, 925/96, 109/12, 1333/384, 569/2304, -21907/2304, 
  -1807/384, 8593/384, 12589/576, -23219/2304, 181/128, 13417/2304, 
  -2311/128, -2267/2304, -11/96, -11/8, 33/32, 1051/384, -15971/384, 
  -1599/128, -1291/96, 4353/64, 4369/384, -535/192, -395/192, -403/96, 
  137/384, 39541/576, 75/16, 703/96, 367/64, -3355/192, -283/64, 20/3, 85/16, 
  5423/384, 1261/96, -2313/128, -1061/96, -35/16, -39761/1152, 421/96, 1/2, 
  -63/8, -1/2, 0, 0, -61/96, 37/24, 1/12, 0, 89/192, -1441/192, -173/192, 
  -5/48, -727/384, 365/384, 13/64, -2461/384, -19/192, -181/192, -1/6, 
  -15/16, -79/64, 7/48, 2477/384, 5401/768, 111/64, 811/64, 2119/384, 
  1397/384, -265/384, -271/384, -2291/768, -47851/4608, -2991/256, -1237/288, 
  11/72, 38083/4608, 1843/1152, 35/96, 217/96, 265/96, 33/16, 0, 271/192, 
  -2207/192, 13/48, 5/24, -1319/384, 553/48, -1/16, 791/384, -275/384, 
  -35/96, -269/64, -841/384, -1, -613/192, 8507/384, -629/192, 809/128, 
  -1691/96, 485/192, 509/192, 3659/2304, 1667/1152, 71/24, -7271/1152, 
  -559/48, -6935/2304, -6323/2304, 9077/1536, -41/2304, -35/96, 43/96, 
  857/96, 321/32, -121/192, 7087/384, -2683/128, 519/128, -3367/128, 
  -683/192, 271/192, -4961/384, -415/12, -169/24, 633/128, 3229/192, 
  5395/2304, 28709/1152, 51349/2304, -17131/2304, -229/96, -61/6, -671/32, 
  -619/128, 561/16, 5089/384, 1439/192, 370/9, 1763/384, -3293/192, 13/24, 
  59/8, -1665/128, -70/9, 3/2, 35/96, 217/96, 265/96, 33/16, 0, 67/64, 
  -2641/192, -239/96, -33/16, 5/24, -1861/384, 1473/64, -13/48, -13/48, 
  1055/192, -553/48, -251/384, -791/384, 275/384, 0, -165/64, -431/128, 
  -269/48, 0, 2155/768, 653/64, 5371/384, 1129/96, -5/48, -439/768, 
  -16931/768, -481/48, 23/32, 277/128, 2765/256, 7/48, 1491/256, -2647/384, 
  239/192, 9845/2304, 5179/576, 11/48, -5567/384, -13993/768, -14137/576, 
  2791/768, 17095/768, 39133/2304, -755/192, -12053/768, 1259/96, -1303/384, 
  -901/128, 299/384, 19003/1536, 5425/576, -593/96, -48199/2304, 1465/192, 
  1951/1152, -1883/768, -12383/1152, -3485/768, 1759/2304, -35/96, 43/96, 
  857/96, 321/32, -17/64, 2305/128, -11477/384, -321/32, 1799/384, -4297/96, 
  2683/128, 5/24, -2923/384, 3367/128, 5/48, 683/192, 265/192, -3737/384, 
  -711/32, 325/16, -5039/128, -8783/768, 14117/768, -4961/2304, 10613/1152, 
  -10001/288, -93601/2304, -471/256, -739/2304, 1451/192, 3931/384, 
  -3517/2304, -229/96, -61/6, -671/32, -941/384, 2171/48, 671/32, 0, 
  3473/192, -561/16, 0, -5089/384, 677/64, 611/18, -9041/288, -595/16, 
  -881/384, -2843/192, 38321/1152, -6589/384, -23863/1152, 13/24, 59/8, 
  -5203/384, -59/8, -7/24, 1665/128, -335/72, 18013/576, -10721/256, 
  18865/2304, 3/2, -3/2, -719/384, 5/192, 0, -35/192, 37/768, 2323/768, 1/24, 
  -155/192, -847/384, -91/128, -23/16, -7/384, 8689/768, 97/192, -2315/384, 
  -2475/256, 329/48, 0, 239/192, -1/2, 5887/768, -15/4, -631/768, -2027/768, 
  -1019/96, 3017/512, -459/128, 5963/1536, -1303/384, -19/1152, -971/128, 
  12277/1536, -1189/2304, -2399/128, 5/192, 5347/2304, 193/288, -22655/4608, 
  -397/2304, 33/32, 0, 5/16, 11/96, -1291/768, 347/768, -269/96, 5179/1152, 
  -901/256, 1951/2304, 0, -35/192, -19/64, 799/192, -593/192, 185/192, 7/24, 
  713/384, -1409/128, 113/96, -349/192, -7/6, 1237/768, 581/64, 235/768, 
  6107/768, -139/48, -157/32, -187/384, -667/384, -239/384, -671/192, 
  -1309/192, 877/128, 0, 1219/256, -175/96, 12827/768, -577/96, 5/8, -773/96, 
  -1303/384, -2601/128, -41/48, 1525/96, -199/96, -667/384, 481/96, 235/384, 
  53/256, 89/32, -6773/768, -239/192, -2479/256, -2111/2304, 751/192, 
  247/768, 1129/64, 1093/64, -43/96, 1633/192, -127/768, 5867/2304, 467/192, 
  1303/384, 16945/4608, -1177/384, -1505/384, -34853/2304, -175/384, 
  -2239/1152, -1951/1152, 551/384, 1945/288, 0, 5/12, -1/2, -83/48, 29/8, 
  33/32, -35/96, -143/48, -8/3, 10571/384, -3091/384, 41/48, 789/128, 
  21137/768, -16603/768, 431/768, -2761/384, -4417/256, -1001/768, 5833/768, 
  235/768, 283/384, -405/64, -543/256, 8425/768, -385/256, 627/256, 667/384, 
  857/128, -361/256, -1339/768, 2767/288, 219/32, -45253/2304, -3587/384, 
  -769/72, 2311/256, -251/2304, -6131/576, 555/128, 21697/1152, 12065/2304, 
  1339/768, 11617/2304, -40883/2304, -967/2304, -5/12, -3/32, -317/192, 41/4, 
  321/64, 749/384, -727/192, -11795/384, -5521/384, -383/128, 70705/768, 
  -6761/768, -39/128, -2009/192, 973/768, 9/8, -3449/192, -79/384, 3903/256, 
  -799/384, 11495/1152, 14663/768, -2837/1152, 18463/1152, 5639/384, 
  -1367/256, 2101/2304, 7/3, -5767/2304, -17785/2304, -1133/2304, 25/48, 
  -47/96, -2503/192, -671/64, -7/6, -89/48, 1663/96, 1135/192, -2203/384, 
  -577/192, -1085/576, 14267/576, 179/288, -40925/1152, 81799/2304, -161/64, 
  -5077/288, 1933/144, 1385/576, 47/16, 265/96, 59/16, -751/96, -1355/192, 
  419/192, -245/64, -1333/288, 13249/1152, -23/64, 3/4, 3/4, -3/4, -3/4, 
  -1/192, -67/192, -43/64, 15/32, -5/192, 79/384, 79/192, 125/384, -1/24, 
  367/192, 3857/768, 643/768, 179/192, -1579/384, -3675/256, -155/192, 
  3571/384, 7769/768, -893/128, 25/96, 29/16, 61/64, 0, -11/12, 1265/768, 
  -1865/256, 145/24, -5/192, -1017/256, -1219/768, 1319/128, 197/192, 
  6883/1536, 727/128, -593/192, -9907/1536, 5/24, -1/48, -49/48, -35/16, 0, 
  895/384, -1301/288, 139/128, 43/96, -2827/1536, 83/72, -751/192, 3553/256, 
  73/24, 1/12, 25/24, -1/48, -1435/2304, 751/144, -19/12, 7979/4608, 287/96, 
  -1/12, -1/24, -2339/2304, 33/32, 1/12, 0, 0, -79/192, -83/192, -55/24, 
  5/16, -65/64, -369/128, 85/64, 29/16, -17/32, -123/128, 2573/192, -1, 
  -547/768, -337/256, -3349/384, 629/128, 1027/256, -993/256, -239/384, 
  83/128, -433/192, 247/32, 0, 779/1536, -1037/384, -2909/384, -185/24, 5/16, 
  3293/1536, 13093/1536, 1409/192, -41/96, -5171/512, 1067/512, -667/768, 
  12127/1536, 235/768, 1303/768, -1817/768, -1723/1152, -239/384, -1249/384, 
  17221/1536, 9721/1152, 247/1536, -6601/768, -5407/1536, -11/24, 5911/512, 
  113/1536, -1951/2304, 2185/2304, 1303/768, 10277/1536, -491/256, -1505/768, 
  -15173/4608, 185/768, -1951/2304, 241/2304, 1945/576, 0, -2707/768, 
  1799/768, 6205/768, 3235/192, -33/32, -25/96, 3479/768, 15115/768, 
  6961/384, -1375/96, 0, 1067/384, -14683/256, -15163/768, 301/256, 
  -1999/256, 10585/384, 177/256, 451/32, -235/768, 65/128, 7973/768, -377/96, 
  -15025/768, 119/32, -2597/1536, -15269/512, 9583/384, -307/24, 1309/768, 
  25331/1536, 11135/1536, -1229/512, -21355/1536, 1423/384, -741/256, 
  2477/2304, 48545/4608, -8107/1152, 17113/1536, 65161/4608, 116347/4608, 
  -4185/256, 20611/4608, 4061/512, 11971/2304, -5717/1152, 16721/2304, 
  -28385/2304, -1921/512, 24049/2304, -7919/2304, -8719/2304, 7667/2304, 
  1447/2304, 809/256, -4177/768, -5395/256, -23035/384, -321/64, -9/4, 
  -1175/64, 40067/768, 26837/768, 541/192, 39533/768, -66385/768, -497/256, 
  -613/96, -973/768, -417/32, 83957/2304, 133249/2304, 835/32, 4993/384, 
  -20281/576, -9139/576, -3689/384, 10307/2304, -1025/384, 22655/2304, 
  -25909/576, -13709/576, -25387/2304, 16303/2304, 69455/2304, 7157/1152, 
  7621/576, 3581/2304, -2371/384, 315/128, 2363/96, 1253/24, 671/64, 307/64, 
  -597/8, 4031/768, 7/64, -8497/256, 577/192, -27745/1152, -99149/2304, 
  -39193/1152, 4935/256, 54443/1152, 23561/576, 44803/1152, 391/18, 
  -71315/2304, -6631/384, -1319/128, -929/192, -59/16, 83/24, 1895/384, 
  -419/192, 2081/144, 2329/1152, -13427/2304, -4777/1152, 3/4, -3/4, 3/4, 
  -3/4, -17/192, -33599/4608, -31/384, 0, -176417/9216, 529/192, -13/96, 
  1/12, 167461/9216, -2605/512, 0, 1675/256, 1/12, 0, 3937/2304, -1069/1536, 
  0, -185/192, -110321/9216, -167/1536, 0, -149465/4608, -76171/9216, 1/12, 
  -62117/9216, 1/12, -1/48, 23/48, 0, 4525/1152, -29/512, -73/96, -2767/3072, 
  -128897/9216, -1/24, -1/48, -11/96, 5377/2304, 35/96, 18601/1152, 
  1081711/41472, 1971127/82944, -5/96, 274043/9216, -167419/3456, 
  -4497155/55296, -279071/10368, 107/192, -221107/6144, 1847003/110592, 
  -12401903/110592, -11/48, 385417/12288, 202421/6144, -1123/768, 
  -156115/36864, 235/768, 11/96, -329/192, -4129/576, -43367/20736, 
  -4083/256, -2127227/55296, 64939/768, 1757357/82944, 116165/9216, 
  20110807/331776, 47860315/331776, -789653/18432, 6896137/110592, 
  225269/36864, 13/12, 6737/2304, -13711/3456, -4111/1536, -97123/82944, 
  -18160595/165888, -16190015/165888, -8762401/41472, 1210537/36864, 
  -1369/384, -2497/384, 99479/3456, -9290821/165888, 14188955/165888, 
  2203/1152, -192989/13824, 0, -98963/9216, 45731/1728, 6518665/165888, 
  -26999/3072, -90031/1152, 503371/9216, -736039/55296, 60849/2048, 
  5163305/27648, 17079965/110592, -60289/12288, -39493/768, 973/768, 141/8, 
  2233919/55296, -1558121/55296, 281879/10368, 3115061/18432, 4566943/41472, 
  -5890673/55296, -10398445/36864, -905923/1728, 299407/36864, -8801/1536, 
  -2688257/82944, 29893/512, -5124125/165888, 63213719/331776, 
  18926743/55296, -94397/3456, 1955593/165888, -5849809/41472, 192989/13824, 
  27839/3072, -860231/18432, -16556585/110592, -2127/32, -2725931/27648, 
  2665349/36864, -324281/12288, 142939/18432, -577/192, -1109797/6144, 
  3601075/36864, 889399/55296, 47848877/110592, 299441/2304, 75971/1152, 
  4635199/41472, 2136911/110592, -46748875/110592, 8823137/165888, 
  259685/6144, 4842727/36864, 671281/9216, -292051/6144, 419/192, 
  -1494313/13824, -2815157/36864, -2340755/18432, 3412759/55296, -92633/2048, 
  -3/4, 95705/2048, 0, -337/1152, -949/576, -1/32, -5/384, 5029/2304, 
  1475/576, -21/32, 1/192, -2027/576, -293/288, 1/128, 393/256, -49/144, 
  83/256, 197/192, 0, 1603/768, -3991/1152, 7/64, 5/384, -79/144, 5471/2304, 
  -7/384, -2353/2304, 29/256, 11/32, 49/144, 71/192, 31/192, -4919/2304, 
  -3493/2304, 13/16, 37/96, -29/256, -69/128, -37/96, 0, -31/48, -23921/2304, 
  -2167/1152, 33/32, 0, 2, 15247/768, 3913/1152, -5/768, 3037/384, 
  -9593/1152, -1/256, -145/16, -211/768, 0, 1517/2304, -3307/288, 6877/576, 
  5227/384, 75/128, -10001/1536, -347/576, 166987/2304, -341/384, -6043/2304, 
  403709/4608, -385/256, 93433/4608, 59/384, -455/576, -54295/2304, 
  -9941/1536, -7865/1152, -2183/2304, 42403/1152, -255815/4608, 1951/384, 
  -55583/768, -5513/768, 6401/2304, 38483/2304, -3179/2304, 33739/2304, 
  703/256, -7163/1152, -4925/2304, -217/2304, 919/1152, 29/48, 0, 31/48, 
  34637/2304, 22039/1152, 321/64, 0, 973/1152, 19217/1152, -5603/256, -5/768, 
  -32473/2304, -43765/1152, -1/12, 6047/2304, 213/256, -6527/576, 
  -65491/2304, -38759/1152, 63/512, 3297/256, 104047/2304, 32047/2304, 
  175969/1536, 661/4608, 47033/2304, 27241/4608, 60151/1152, -12313/768, 
  54887/1536, -69097/768, -20381/768, -1049/192, 7281/256, 15553/2304, 0, 
  -547/96, -3467/96, -671/64, -293/384, -50149/768, 1189/32, -10145/2304, 
  26425/576, 7247/288, 18145/576, 38963/576, -82981/2304, 41249/384, 
  -2041/32, -29731/768, -4821/128, 8147/256, 46457/2304, 29/24, 955/48, 
  59/16, -90769/2304, -1665/256, -47491/1152, -2449/72, 30337/576, 16945/384, 
  3/4, -3/2, 35/192, 217/192, 265/192, 33/32, 0, 67/128, -2641/384, -239/192, 
  -33/32, 5/48, -1861/768, 1473/128, -13/96, -13/96, 1055/384, -553/96, 
  -251/768, -791/768, 275/768, 0, -165/128, -431/256, -269/96, 0, 765/512, 
  1621/384, 1909/256, 403/96, 0, -661/1536, -11913/512, -191/48, 0, 
  -4169/1536, 22069/1536, 15/64, -8551/1536, -503/768, 239/384, 9845/4608, 
  5179/1152, -181/192, -1635/256, -2915/384, -10429/1152, 1109/512, 
  12755/768, 60997/4608, 117/256, 2311/1536, 6419/1536, -1303/768, -901/256, 
  409/96, 19499/4608, 17441/2304, -627/64, -8257/576, -3301/768, 1951/2304, 
  -13805/2304, -271/64, 42907/4608, 1879/768, 35/192, 159/64, 1387/192, 
  453/64, 0, 491/384, -1913/768, -11269/768, -321/64, 5/24, -839/768, 
  -695/64, 2683/256, -1/6, -447/256, 3367/256, -275/384, 683/384, 0, 
  -865/384, -8059/768, -3739/192, -33/16, -829/1536, 1047/256, 25265/768, 
  3153/128, -3599/1536, 10621/512, -6131/192, 22475/1536, -39223/1536, 
  -2667/512, 239/192, 26609/4608, 4343/256, 269/48, -7565/1536, -7967/288, 
  -88607/2304, -839/192, 16145/1152, -13651/1536, -1781/384, -52865/4608, 
  -5179/576, 28255/1536, 104023/4608, 16381/2304, 1465/288, 901/128, 
  -63559/4608, -1951/1152, -35/96, -143/192, 123/32, -29/64, -121/192, 
  4411/256, 635/384, 671/64, 519/128, -1657/96, -561/32, -683/192, -5089/768, 
  335/192, -313/64, -2041/144, -321/32, -583/256, -4565/128, -53657/2304, 
  -1661/768, 35321/768, 1261/96, -8141/2304, 13295/1152, 711/32, 38635/2304, 
  21197/576, 407/96, 2111/1152, -10613/1152, -2845/144, 739/2304, -229/96, 
  -475/48, -553/32, -619/128, 21725/768, -59/16, 1715/128, 1665/256, 
  2489/192, 6017/144, 671/32, 11245/768, -51595/2304, -5409/256, -2437/96, 
  -611/18, -39833/2304, 2843/192, 13/24, 65/8, -1665/128, -3/4, -187/36, 
  -59/8, 1361/128, 335/72, 3/2, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  17455/48, -185/12, 1699/8, -1/3, -44/3, -22/3, -13/6, 1/12, 0, 13, -65/6, 
  -143/12, -45/4, -83/4, 45/4, 43/32, -11/6, 7/3, -1/24, 0, 0, -1, 47/24, 
  229/24, 115/8, -33/4, 14/3, -5/6, 0, 0, 0, 0, 0, 0, -43/32, 11/6, -14/3, 
  -7/3, 0, 0, -10, 0, 0, -1, 1/12, 35/24, -7/4, -95/24, 47/6, 7/2, 59/24, 
  -19/6, -41/24, 0, 0, 14/3, 43/32, -11/6, -185/16, 49/6, -865/48, 7/3, 
  -169/96, 19/12, -161/24, 0, 0, 10, 0, 0, 43/6, 1/3, 0, 0, 0, 0, -10, 0, 0, 
  -19/6, -1/6, 7/2, -43/32, -11/16, 11/6, 198527/288, -14909/96, -432449/384, 
  172/9, -242/9, -74/9, 3083/144, -10253/144, -2195/36, 0, -1087/12, 41/3, 
  718/9, 2483/36, 0, 5/12, 233/72, -43/9, 4427/72, -14/3, 799/72, 2483/36, 
  7/3, -19675/288, 145/48, 517/8, 0, 0, -10, -1/2, -2/3, 10/3, -7, 0, 56/9, 
  5/12, -1/3, -503/24, -6, 10, -13/2, -26/3, 13/6, -11/2, -73/2, 16/3, 
  -449/18, -11/2, 1/6, -233/36, -29/2, 5/128, 21967/768, 41/8, 13711/384, 
  800539/768, -25975/768, -779795/768, 5/16, -115/8, 33/4, 2741/144, -55/4, 
  0, 0, 0, -5/16, -365/24, 65/6, -11/2, -545/48, 43/3, 1973/48, -22, 
  67813/1152, 3/4, 28/3, -12517/128, -353/16, 55/4, 0, 0, 0, 0, -305/24, 
  -305/24, -248/15, 137/12, -32/15, -70/3, -3/4, 133/12, -8/3, 3/2, 0, -57, 
  57/2, -83, -55/6, -22/3, 11/6, 7/6, -7/12, 1/6, 953/24, 1243/30, -55/4, 
  -41/10, 167/24, -463021/288, -3/4, -46881/256, 4987/384, -13/96, 
  -237715/768, -3599/384, -1121/96, -41/8, 6039/128, -799081/768, 57/4, 
  259107/256, 7/6, 5/12, -18, 7/6, 29/3, -103/12, -43/3, 29, 49/6, -79/12, 
  79/3, 15/2, -61/3, 61/12, 1079/24, -59, -371/24, -663/8, -1/6, 29/24, 37/3, 
  227/6, 37/6, -1/6, 203/24, -25/3, -76/3, -91/16, -199/12, 319/48, 211/24, 
  397/192, 5/4, -781/192, -13/8, -1139/384, 1525/192, -199/24, -15761/256, 
  385/16, -2711/48, 143/24, 37553/256, 98011/2304, -13/3, -7629/128, 2, 
  -263/12, -20009/256, -1/2, -21/4, 0, -5/24, 0, -11/24, 25/24, 0, 0, 1/6, 
  -1/2, -7/4, 5/3, 5/12, -5/4, -65/6, 7, -625/6, -457/12, -7/2, 527/12, 
  457/12, 652/3, -35/3, -153/16, -145/4, 5/128, 8687/768, 41/8, 5281/384, 
  52829/768, -8557/256, 15449/256, 0, 5/4, 0, 0, -22/27, 20/3, 5/6, 13/27, 0, 
  -497/108, 319/216, -29/6, 1/6, 0, -19/6, -7/2, -15/4, -23/6, 7/2, 35/2, 
  -14, -7, -221/6, -1927/36, -415/12, -4/3, 839/12, 221/3, 1927/36, 415/12, 
  -221/6, -24425/768, -18281/768, -931/96, 33175/288, 788/9, 0, 205/72, 
  -35/6, -25955/256, -344/9, 11573/18, -13637/288, -8753/36, 394/3, 493/288, 
  244951/9216, -3/4, -55079/768, -28/3, 7069/384, 441/32, -7069/384, -441/32, 
  15343/768, 91/128, -99/8, 101/24, 91823/256, -63331/192, -2133/256, 
  15397/192, 68729/96, 0, -16663/768, 4187/576, 571/6, 30187/9216, -2401/36, 
  -444539/1152, -1391/2304, 177323/2304, -57367/384, 12509/192, 44845/128, 
  -28141/768, -87839/128, -949219/1152, -6169559/6912, 5/12, 1673351/2304, 
  8534597/6912, 23653/192, 39/8, 0, -15/4, 15/4, -7/3, 0, 0, 0, 0, 0, 0, 0, 
  -45/4, 0, -19/4, 0, -1/6, 45/4, 0, 19/8, 0, -15/4, 0, 0, 0, -5/16, 0, 0, 
  -5/8, 607/32, -1435/48, 363/32, 1, 5/16, 0, 0, -15/16, 0, -5/24, 0, 0, 
  7/24, 0, 0, 0, 5/12, -35/24, 5/4, -7/2, 9/8, -1/12, 0, -25/12, 73/12, 
  -101/9, -15469/48, 4655/48, 0, -25/12, -23/12, -49/18, -1669/288, 97/6, 
  -3645067/3456, -649469/1152, 96637/1728, -2544479/2304, -1137773/2304, 
  587483/1152, 2573/18, 0, 0, 0, 19/3, 5/6, -1/4, 871/36, 0, 14/9, -89/8, 
  5/48, -625/192, -5/2, 49/8, 0, -14/3, 9/16, 0, 0, 0, 15/16, 1/2, 1, -5/6, 
  -3/2, -13/12, 1/4, 1/2, -1, -15/2, 35/4, 15, 893/16, 20779/288, -3289/72, 
  -491/96, -331/192, 0, -199/96, 2917/72, 49/3, 267/64, -5/16, -16/3, 
  -625/384, -625/128, -5/2, 13/12, -77/24, -10025/576, 779/144, -1043/216, 
  -1301/576, -137137/3456, 791/864, 144203/3456, 5149/576, 621/64, 1/3, 
  -1741/72, 25/12, -4/3, -5347/432, 949/72, 3911/96, 6067/432, -3647/96, 
  -667/288, -427/12, -88463/1728, -2309/288, 104879/1728, -2941/576, 22/3, 
  30925/576, 35/24, 79/8, -7265/432, -181019/1728, 9641/432, 248579/1728, 
  1397/288, 1157/96, 15067/576, -341/64, 2035/64, -1819/64, -1861/96, 
  -625/192, 43/18, 25/6, 1/6, -4099/128, -1465/192, -1/4, -1112741/1152, 
  -36641/192, -393/32, -3386729/3456, 315179/1152, -10139/288, 0, 15/32, 3/2, 
  -3827/576, 201125/1152, 122215/384, 0, 15/16, 5/8, 0, 15/32, 0, -15/32, 
  -15/16, 0, 5/4, -51/8, 11/4, 5/2, 0, 0, 0, 65/8, 0, 0, 35/6, 15/16, -5/8, 
  0, 0, -45/32, 0, 0, -15/32, -15/32, 0, 15/8, -497/192, 1243/128, -2791/384, 
  -1961/384, -227/144, -9953/96, -251/32, -29/96, -5149/576, 227/32, -151/96, 
  -165/128, -11203/384, 887/96, 1231/192, 2905/384, -2959/576, 161/144, 
  -3/64, 1011/8, 0, 1531/144, 0, 25/96, -547/96, -25/96, -215/32, -151/96, 
  1231/192, -2959/576, -165/128, 2905/384, 161/144, -15101/384, 181/9, 
  23431/192, 43/96, 847/32, -65/8, 0, 703/192, 25/8, -7/32, -13, 3191/192, 
  -2911/96, 439/48, 1831/192, -5/48, 8/3, 955/192, -385/48, -2643/64, 10/3, 
  -41879/1728, 0, 363/32, 5/6, -2675/1728, 0, 11/32, 85/16, -2465/216, 0, 
  99/16, 175/48, -53/144, -35515/576, 0, 55/48, -355/32, -1/3, 0, 0, 275/24, 
  0, 0, 5/2, 0, 0, -215/12, 209/6, 0, -3953/288, 65/64, 109/32, -1267/384, 
  -17351/288, -25/16, 3935/288, -1/6, 115/96, 595/18, -359/48, -1337/288, 0, 
  151/96, -1231/192, -25/8, -7/8, 43/16, -395/24, -1355/144, 19/16, 151/96, 
  19/24, 0, 93/32, 0, -15/16, 0, 305/192, 15/16, -11/36, -83/144, 63/8, 
  -89/4, 23/12, -29/72, 835/72, 47/3, -121/270, -122/9, -625/96, -3163/216, 
  113/24, 173/6, 229/54, 327/8, -323/18, -197/8, -503/270, 601/12, -763/36, 
  367/54, 713/18, 625/96, -2267/576, -721/96, -307/36, -25/6, -5/48, 
  -2117/144, 59/12, 295/9, -1949/288, -221/16, -109/576, -3139/96, 
  529229/8640, -9569/192, -22513/192, -973/192, 2779/96, 8473/1080, 
  35797/576, -175/192, 43/144, -47/6, -1/6, -1207/144, 1577/192, -89/48, 
  5/12, -679435/2304, 1855/72, 467051/2304, 238523/2304, 194561/1152, 
  393415/2304, -10151/576, -377557/576, -904147/2304, -845027/2304, 
  653065/2304, 73783/256, 10594817/3456, 35515/576, -43124975/27648, 
  12275/288, -332189/768, -8972575/6912, 281/8, -4395665/1152, 5519/128, 
  12737819/27648, -11633/2304, 9502741/6912, -54427/576, 1529/192, 9313/768, 
  1/4, 181855/576, 4021415/6912, 2597/64, 109729/768, -234059/192, 2759/768, 
  2918375/1536, -829847/2304, -2918731/6912, 246281/768, 0, -5/3, 0, 229/18, 
  565/72, -63/4, 0, 0, -1/6, 5171/216, 9/4, 151/16, 5/4, 61/144, -71/32, 
  -233/16, -63/8, 255/8, 89/4, 4/3, -89/48, -2/3, 53/72, 8587/96, 1773/32, 
  1349/48, -17311/384, 31063/192, -44867/64, 421/144, 61/12, 1175/72, 
  2527/72, 1/3, -31/96, 1511/144, -2815/72, -1711/288, -1247/48, 205/144, 
  2521/128, -29747/576, -31/4, 87/128, 27947/576, -229/24, -32359/96, 2, 
  11109/32, 17/96, -7/32, -5/6, -47/24, 629/96, 17/96, 139/24, -9865/288, 
  55/24, 5245/144, -17/4, -461/144, -9/16, 48111/64, 279/16, -411853/576, 
  -46147/24, -59/36, 37853/32, 46147/24, 23/12, 5/2, -829/192, -127/48, -1, 
  89/12, -5/6, 765/32, -703/96, -297/16, 1/3, -65/6, 7/12, 661/96, -43/18, 
  -2893/192, 19/9, 4673/192, 55/96, 4021/96, -4571/288, -155/8, 5173/384, 
  731/72, -868685/1152, 11507/6, -2723/36, 0, 151/24, -23/6, 2/3, -29/4, 
  1539343/13824, -84259/1536, -12107/384, 103/24, 21011/2304, 14851/288, 
  -35/4, 547/96, 2729/36, 5/24, -17/12, 23/12, -11/24, -35/24, -631/288, 
  11/12, -1843/144, -5/8, -103, -23371/72, 157/27, -6745/432, -2297/48, 
  -43/144, 47/6, 1/6, 64757/6912, 371227/6912, 15/8, 6121/1728, 62317/216, 
  36505/1728, 883/144, 65/8, -191/12, -35171/2304, 313/24, 3429895/6912, 
  492283/6912, 2363687/6912, -290905/768, -2244367/6912, -867833/864, 
  3479135/3456, 33421/288, 36649/576, -37439/288, 18161131/13824, -4185/128, 
  -778229/13824, -14135419/13824, 905/12, 1474051/13824, -1289/192, 
  -192103/3456, -1/4, -614395/3456, -2711797/3456, -2005/24, 4923239/4608, 
  3212093/4608, 200419/3456, -65069/1152, 3049703/6912, -10185683/13824, 
  -1539055/6912, 0, -35/27, -191/36, 5/4, 557/108, -19/24, 0, 0, 19/24, 
  -274/27, -1939/216, 1315/72, 0, -11/36, -65/32, -1897/36, 95/48, -4019/432, 
  183005/1728, 40723/576, 1309/72, 217/4, 38767/288, 1091/36, -1693/96, 
  -109/72, 181/72, 343/36, 13/4, 79/8, 511/6, 11, 953/12, -443/6, 0, 
  -1325/864, 64/27, 29/72, 0, -38335/7776, -221981/7776, -1153/16, 1385/432, 
  196667/7776, 301565/7776, -2099/432, 113501/7776, 47/72, 101533/7776, 
  -1231531/15552, -91577/7776, -674351/15552, -329213/7776, 3655/48, -275/72, 
  4591/24, 521/24, -1429/18, 23/12, -59/4, -2747/32, -299/24, -61/24, -99/4, 
  1/24, -2591/6, 1/8, 16727/72, -29/24, 167/48, 22661/48, -11/2, -215317/432, 
  -583/144, 1745/144, -68081/108, 583/144, 353/72, -689/18, -8/3, 143/4, 
  -14657/216, -77/3, 13565/432, -42895/432, 877/216, 2441/48, 7139/144, 
  -4043/48, 6419/432, 9419/108, -2441/48, 2327/48, 1633/24, 5/6, 29149/432, 
  -4025/144, 6109/48, -1633/24, -29149/432, -86/9, 121/9, -289/18, 965/8, 
  115/24, -83/96, -43/18, -449821/2304, 1932871/4608, -25/6, -87155/2304, 
  -1/6, -6037195/6912, -433481/6912, 17500927/20736, -13785/128, 
  -48764777/41472, 18237637/6912, 3719/24, -132377/288, 159277/288, 
  -65759/384, -1239/2, 181303/144, -140539/288, 8299/9, 3745/192, 
  -487679/576, -36529/48, -5/6, -3413/96, 5/3, -686041/2304, -3077/1152, 
  -4667/48, -93721/1536, 2227/16, 17239/72, -21635/144, 12355/192, -24527/72, 
  -1253/16, -111685/4608, -12041/2304, 161069/576, -283751/2304, -3533/576, 
  -223165/576, 641179/9216, 281639/2304, 31297/288, 7681/768, 4391/72, 
  -44821/144, -17713/4608, 208727/3072, -5929/96, 1153/96, 40705/576, 
  2579/18, 1224449/3456, 2924531/6912, 15707809/41472, 4044935/4608, 
  -79510499/82944, 24367541/27648, 921307/288, -231010373/41472, 7239/64, 
  -26499619/4608, 2910225485/248832, 1221317/3072, 38006221/10368, 
  -1497687479/248832, 602915/6912, 5251879/11520, 930721/3072, -18043/36, 
  -733049/960, -17657743/27648, 18043/36, 3828809/11520, 4574387/13824, 
  -4493/192, -32824319/41472, 2446321/4608, -34139/1152, 96014065/82944, 
  -1384097/4608, -16010515/27648, 386639/4608, -665/192, -2723/36, -1/12, 
  577277/2160, -470381/4608, 411901/2304, -6929329/69120, -1758443/4608, 
  -33455/1536, -272641/1024, -1112633/6912, -1662211/3072, -3383287/10368, 
  -347711/512, -575027/4608, 3171/512, 110225333/82944, -34423511/27648, 0, 
  5/4, 0, -101/6, 541/72, 44/3, 0, 0, 0, 0, 0, 0, 0, 0, -5/48, 7/48, 0, 0, 
  -35/32, -5/8, 17/32, -403/32, 611/32, 1799/16, 9/32, -1361/64, -3965/64, 
  7713/16, -571/64, -8831/192, 35829/32, 3313/96, 50357/96, -10807/48, 3/4, 
  -309/64, 427/16, -343/32, -133/64, 7693/192, -5957/64, 875/64, -17355/64, 
  -9151/48, -3, 2143/192, -3693/64, 1199/192, 11185/192, 703/6, 21/8, 
  -2347/192, -2051/192, -1/2, -17/32, 131/16, 2567/96, -14925/32, 225/64, 
  8695/48, -188305/192, 1339/64, -268937/192, -4025/24, 341/64, -6313/192, 
  3587/64, -1831/96, 25031/96, 30955/96, -2431/192, 17957/192, -2603/32, 
  2195/192, 141/32, -1521/16, 16515/32, -19967/192, 2197/8, 15871/64, 
  1141/192, 4637/192, -6103/96, -3391/96, 2363/48, -587/4, 10261/64, 
  -3335/48, -123/8, 355/48, 30707/1152, -248219/3456, 1231/576, 10099/128, 
  1260551/6912, -8777/576, 87799/2304, 52823/1152, 111487/1152, -625/96, 0, 
  -9025/384, 5/12, 8521/96, 4/3, -34871/384, -509/192, 2869/96, -83/4, 
  8831/288, 35713/192, -12661/864, -203341/576, -184987/1728, 217283/1152, 
  3017/64, -7391/192, -61853/288, -26309/864, 37123/216, -613/12, 2773/576, 
  87703/1152, 4741/192, 393/16, -673/4, 779/576, 62759/288, 2311/3456, 
  -41095/1152, -6001/64, -88363/1728, 25121/54, -190229/2304, -52301/216, 
  21655/288, 23/32, -228491/864, -3449/576, 4277/36, -466685/1728, 539/3456, 
  215671/1152, -254075/1152, 10519/1152, 240169/864, 117211/1152, 
  -52477/1152, 111271/1152, 25301/576, 0, 1061/384, -108785/3456, 2309/216, 
  23/24, -25/16, -67/6, 322429/5184, -2363/216, -7/8, -10295/3456, 
  -335783/10368, -299/24, 2507/216, 829/48, 397/64, 5803/192, -5407/216, 
  7247/288, -935/96, -170821/5184, 1345/48, -10799/384, -351689/5184, 
  6265/192, 6787/384, 32395/1728, -2929/64, -321373/3456, -27305/432, 
  120319/3456, -8281/288, 715/576, 24151/384, 1589/64, -41/96, 132389/3456, 
  -255479/10368, -2291/384, -739261/10368, 213413/10368, 13931/384, 
  372847/10368, 3785/384, -191/8, 6863/192, -33427/1728, 110461/1152, 
  -709259/6912, 1903/36, 7291/128, 101/192, -770369/3456, -6179/576, 
  1205/192, 214549/5184, -1721/24, -440213/10368, 3993/64, -48193/384, 
  18433/1152, 770929/3456, 101773/1152, 12721/192, -1563/64, 6091/288, 
  153/16, 1805/288, 13/48, -3186851/41472, 3361/64, -12513913/20736, 
  13309/384, -11733299/82944, -103/64, 23665/4608, 23/48, -8920717/5184, 
  -16657345/41472, 73451/81, -8077609/82944, 4043917/82944, 32995/4608, 
  -391/48, 409479/512, -15129883/41472, -23047205/55296, 15019271/82944, 
  745/48, -10115/576, -7765987/55296, -25/4, 5/6, 0, 25/48, 3, -5/16, 0, 
  -25/6, -3, 55/16, 0, 1/2, 0, 79/6, 0, -41/3, -5/8, 0, -1/2, -29/2, 0, -28, 
  29/2, -5/8, 43/3, 0, 0, 29, 43/3, -109/8, 0, -29/2, 0, -5/48, 0, 0, -17/48, 
  127/96, -179/96, 193/192, 0, 0, 91/48, 35/32, 105/64, 7/48, -9/16, -149/96, 
  -1/2, 107/384, -1195/768, 3463/2304, -43/64, -641/256, 1213/384, 4865/768, 
  -3211/1152, -119/576, 369/128, 10337/256, -3745/384, 281/144, -133/288, 
  -885/128, -230669/768, -1673/72, 86105/384, 0, 107/384, -1195/768, 0, 
  -25/32, 151/384, 487/192, -1231/768, -233/96, -25/32, -335/96, 57/64, 3/64, 
  -363/16, -77/16, 63/32, 0, 3/8, -5/8, -83/32, -15/8, -1/12, 22/3, -1737/32, 
  -5/6, 0, 19/24, -2621/48, 3869/96, 11/24, -869/48, 787/24, -5/16, 71/8, 
  -7/8, -1/48, -115/48, 6103/96, -53/24, 13/24, 1207/24, -2357/48, 155/16, 
  -397/16, -31/12, -37/48, -3023/96, 235/16, -187/12, 535/16, 79/6, 151/32, 
  -227/16, -157/24, 439/96, -21/128, 3851/768, -29017/2304, 1675/192, 
  -2959/1152, 6769/1536, -9271/1536, -81547/2304, 26441/1152, -166925/768, 
  879019/2304, -174775/768, 54217/384, 14897/96, 29139/128, -95/128, 2175/32, 
  -65/64, -155/1024, 233/1024, -1753/384, -2277/256, 181811/3072, -1823/1024, 
  0, -17/32, 1267/384, 141/256, -367/128, -1099/256, 5705/256, 0, -2455/1152, 
  13327/2304, 3929/768, 931/384, 665/256, 117/8, 6443/96, -329/1024, 
  34993/768, 64181/768, -7527/64, -48883/3072, -6299/768, -9415/768, -503/32, 
  211/24, -15841/576, -33885/256, 12779/2304, -539/384, -8077/2304, -403/256, 
  43513/768, 823/24, -19837/128, 31855/1536, 310483/1536, 1295/256, -1793/48, 
  81925/576, 203/1152, 1803/256, -23815/192, 206249/1536, 5639/576, 
  -30625/256, 0, 1075/1024, -4441/3072, 9495/1024, -17681/3072, 217/96, 
  -95/192, 10939/192, -4541/768, -359/48, -10405/1152, -214943/2304, 
  8099/1152, 491/36, -2959/1152, -59/512, -96991/3072, 43499/256, 
  -117611/3072, 13201/1536, -94523/576, -266779/2304, -29929/1152, 
  133253/768, 13255/1152, -189131/768, -321235/1536, 156443/1536, 
  570145/1152, 114773/576, -621769/2304, 15527/384, 233293/1536, 398471/2304, 
  26629/256, 0, 0, 225/128, 739/32, 83/24, -5/12, -1/4, -655/128, 943/128, 
  217/96, -11/12, 127/96, 407/24, -12965/3072, 44447/768, -50329/3072, 
  -359/48, 311/192, 275/288, 17797/768, -2435/24, 8099/1152, -1609/1152, 
  -60671/2304, -2959/1152, 589/1536, 913/48, 1949/192, -691/96, 2011/192, 
  82763/1536, -9121/256, 34079/3072, -4021/192, 7673/192, -21741/64, 
  16645/1024, -62231/1152, 9565/1152, 25387/64, 116029/2304, -37551/256, 
  -1275/64, 79/2, 31969/1536, -2233/192, 225563/384, 99127/576, -2085/8, 
  -128641/256, -133651/768, 24391/96, 7409/128, 2094805/4608, 183859/768, 
  5/24, -205/54, 77/48, -25/8, 17249/6912, 0, -121/384, 0, 2443/288, 
  904639/20736, 3055/32, 0, 1051/384, 36317/576, 1/12, -335/96, 0, -5/96, 0, 
  -55/288, 103/72, -73/96, 0, 0, 0, -15/2, 0, 0, -15/32, 0, 893/288, 
  -503/144, -451/96, -35/48, -143/32, 647/32, -251/64, 0, 1981/384, 
  -11149/2304, -803/768, -239/192, -5765/1152, 13183/4608, 2603/768, 
  -1897/3072, -1105/1536, 35/48, -211/96, -20663/288, -7793/192, -389/96, 
  86173/2304, 123497/2304, 3677/1152, -65405/2304, 14/9, 307/48, 8321/144, 
  6869/96, -25133/768, -165097/2304, 1919/64, -599/72, -795/32, 14707/1152, 
  -4, 35/128, 507/256, 407/256, 35/128, -665/256, 733/192, -1607/768, 
  595/192, 0, -103/64, -1129/512, 0, -103/64, 0, 2323/1536, -149/96, 217/256, 
  8807/3072, -43/256, 8807/3072, 0, -1285/512, 1213/1536, -35/128, 37/128, 
  -23413/384, 0, 629/96, -5/64, 4941/256, 737/192, 0, 7/16, 86671/4608, 
  25/64, 3053/4608, -15/16, -1733/768, -20591/3072, -557/384, 3795/512, 
  -85/64, 127639/1152, 3061/768, 30055/2304, 5/8, 225/64, -50459/2304, 
  539/192, -113/384, -2099/768, -149305/2304, 1467/128, 3389/192, 9697/1152, 
  0, -169/64, 2039/256, -3543/512, 2519/512, -55/192, 809/384, 16529/4608, 
  -6823/2304, 4993/768, -21047/2304, 6827/576, 132097/2304, -56287/1152, 
  73/128, 595/384, 2457/256, 377/256, -89/16, 0, 0, 1/16, -119/384, -487/128, 
  -7253/1536, 451/32, 161/192, 247/128, -733/384, 0, 99427/9216, 281/288, 
  -145/384, 553/384, -85/768, -4559/1152, -301/192, 1177/1536, -595/384, 
  -131/32, -12963/256, 18341/768, 25/32, 179/192, -443/384, 113/32, 
  -1395/512, -27159/512, 4015/768, 2843/256, -79843/9216, 185299/9216, 
  -4907/1536, 43/9216, -1665/256, 9451/64, -23465/384, -17/16, 19/8, 
  1387/384, 255973/4608, -10699/768, -57535/3072, -12633/128, 85475/1152, 
  -97/96, -989/48, -72367/2304, -919/288, 83/8, -899/288, -53/16, 27397/5760, 
  -254089/10368, -106909/5184, -6743/1296, 82135/3456, 247/48, -256237/17280, 
  -104939/1728, 7553/1080, 625/1152, 14405/1152, 277/48, -57695/1152, 
  -2029/128, 929/48, 2131/128, 3841/96, -107/16, -103/18, 1794371/17280, 
  -495817/17280, 746629/3456, -305579/8640, 151895/1728, -307801/5184, 
  -146389/2592, 21935/144, -91439/1728, -4991/1152, -17263/3240, 109147/1728, 
  -625/128, 92723/17280, 625/1152, 0, -13/8, -5/12, -2281/64, 145/48, 
  -470747/10368, 5101/384, 122857/10368, -719/48, -1979/48, 36979/1152, 
  16423/1728, 407711/10368, -321/64, -917/3456, 612257/10368, 11711/288, 
  11197/1728, -881/384, 10/9, 427/96, -1279/576, 2599/576, -1135/36, 
  6572341/51840, 127711/3456, -5333/96, -201751/10368, -119117/1728, 
  411343/3456, -234925/3456, -73193/1296, -107/54, -6287/96, 31603/576, 
  -8627/32, -6721651/51840, 2565/128, 86861/3456, 6805/2592, -13409/216, 
  8175/64, 77239/8640, 30217/384, -19817/1152, -153/16, -1805/288, -13/48, 
  -263695/768, 631/18, 670855/1536, 2177/32, 1001513/13824, 396509/3072, 
  85027/3456, 137033/384, 5089/1152, 44168587/55296, -14575/576, 
  -68516189/36864, -47055/1024, 13163837/9216, 3456745/36864, -123591/256, 
  -101707531/73728, 1059/32, 46904039/49152, 969305/6144, 5371403/36864, 
  131019/16384, 23177/384, -666703/6144, 1495/192, -18905/54, -337015/768, 
  829261945/165888, 237901/2304, 27743093/27648, -70171033/41472, 
  -77287/6144, -5233627/13824, 3371/48, 5684267/1296, 1502053/4608, 
  -1127268565/165888, -1121621/4608, -37474769/18432, 154712915/82944, 
  11557187/27648, -241750303/82944, 685829/13824, 35285407/10368, 
  -115087/4608, -510839/4608, -285539/1152, 91741/3456, 5716045/41472, 
  5089/1152, 60054079/55296, 469430909/165888, -3325721/6912, -1549111/9216, 
  -174140951/110592, -476150393/110592, -24162491/110592, 141741475/82944, 
  2338525/36864, -11344015/41472, -209188933/221184, -58044439/73728, 
  68309/1536, 3358504081/1327104, -214321213/442368, 2661833/12288, 
  7794865/16384, 49378691/147456, 401807929/442368, -2370587/16384, -65/8, 
  25601/1152, -3217/48, -23221/384, -1487/192, 0, 145/5184, -485/576, 
  -741/128, 0, -2095/1296, 5353/1152, 671/128, -6349/1152, 59881/384, 
  -42941/1152, 1154119/1152, -178291/576, -98249/384, 0, 2339/432, -145/5184, 
  234205/3456, 295/288, -11935/576, 869/128, -2339/432, -4847/288, 
  -254209/3456, 176929/576, 21377/288, 4847/288, 9185/576, 47647/288, 
  -9185/576, -17/144, 7441/144, -29375/64, 190187/192, 35/32, 1933/192, 
  -6967/192, -15577/192, 83/4, 27/128, 701/64, 40535/384, 3187/24, 
  -23965/192, 27/32, -9251/384, -46181/576, 38933/192, 233/128, 1561/48, 
  -1805/24, 185/128, -6815/288, -1051/192, 1501/32, 10961/128, 13603/192, 
  17767/1152, -29417/384, -77575/192, -16875/128, -2053/144, -51823/576, 
  -35249/192, 705/128, 271057/1152, -4643/192, 77019/128, -147079/768, 
  -617/192, 22663/48, 217567/256, 124451/2304, -142681/128, -123407/192, 
  -212267/256, -29955/128, 1564, 58215/64, 2695/192, -23261/1152, -5231/3456, 
  54529/3456, -359/384, -6769/384, 20513/1152, -3407/1728, -70405/3456, 
  -3041/384, 4759/108, -187/36, 12905/1152, -148697/3456, 191/384, -1987/18, 
  4213/1728, -13411/1152, 7015/288, 14245/72, 55999/3456, 2089/128, 
  -15287/144, -38375/1152, -755/576, -32971/1152, -36577/128, -1781/192, 
  -321731/768, 90491/256, 6083/384, 793003/768, -29955/128, -4571/24, 
  58215/64, -41/192, -151/32, -1561/64, 1207/192, 0, -2321/576, -1045/144, 
  35261/1152, -5/24, 91/96, 316733/1728, 5/48, -757/96, -19/32, -73/64, 
  361/128, 27017/384, -553/384, 8383/1152, 9587/576, -5135/128, 25/64, 
  -103013/432, 31/32, -2399/384, -1373/24, -4017/128, -2513/288, 2101/48, 
  24457/384, 3707/384, 13913/576, -22363/576, 961/576, 107/64, 2581/192, 
  -13993/576, -57821/576, 239/192, 421/18, -366413/3456, -239/192, 
  -114221/3456, 233/12, 2595/128, 3913/144, 135065/1152, -39775/1152, 
  394697/3456, -342139/3456, 18595/1152, 2651/192, -50185/1152, -1121/24, 
  -803/192, 9887/192, 40895/256, -297/32, 48583/3456, -61289/384, 
  -67679/1152, -78049/144, -1343/432, -606385/1152, -14531/576, 1281389/2304, 
  27083/384, 2181755/1152, -124283/192, 0, 1/6, -23/8, -11633/432, 
  1192493/20736, -65947/3456, 58735/1152, 805/36, -427/288, -98741/3456, 
  -57383/1152, 53/16, 18409/576, -15905/288, -1/4, 12023/288, 0, 1/12, -1/8, 
  0, 91/192, -85/64, 19/12, -1163/576, 1849/576, -1471/144, 5557/576, 
  7609/576, -1955/96, -5135/216, -149071/864, -7037/36, 1967/288, 153/16, 
  1805/288, 13/48, 29630951/41472, -15550055/41472, -298285/1728, 12695/3456, 
  -246996697/248832, 81297487/82944, -934865/13824, -6302773/9216, 
  2263871/13824, 73337/864, -7421/288, 436931/3456, 25232657/82944, 
  -83875187/82944, -22919/1728, -3043/144, -981241/4608, -36651805/20736, 
  90257747/82944, 1381/48, -1345613/9216, 126231131/82944, -49355/384, 
  281357/3072, 119/12, 23840365/41472, 275753095/248832, -13576265/41472, 
  -11721349/82944, -280694527/248832, 14861/432, 21791269/82944, 1237/108, 
  -7262347/20736, 27497/576, -2320364641/497664, 23877191/20736, 
  4051993/41472, 540805933/124416, 8882027/41472, 28925459/82944, 10109/384, 
  2095787045/497664, -6490063/10368, -933363751/248832, 457921/13824, 
  -373/192, -27013159/27648, -22919/1728, 28257605/41472, 220988155/82944, 
  23357533/41472, -1093813/4608, -4882223/5184, -4232725273/497664, 
  -464947231/165888, 212871/512, 868714075/124416, 28864735/27648, 
  -356930527/248832, -149008781/165888, -3313819/18432, 329108513/82944, 
  577717351/165888, -778849855/248832, -12372985/27648, 904565/18432, 
  -43891265/41472, 7329391/27648, 0, -745/432, 11521/6912, 233/1152, 
  -172291/20736, -54751/2592, 16549/256, -3039551/10368, 363763/2304, 
  67259/768, 0, 125/3456, -6373/1728, 2237/576, 387697/5184, 3324317/5184, 
  -41369/72, -7761425/5184, 4359235/864, -1795843/1728, 0, -235/324, 
  -9425/10368, 175283/20736, -25909/3456, -93393827/124416000, 
  -396610771/37324800, -1484237761/16796160, -59800801/839808, 0, 
  1048259/31104, 8585/144, 8245/10368, 3918107/207360, -2336609/15552, 
  -13921/20736, -965431637/4147200, -7589677/31104, 259109/20736, 
  1959232891/12441600, -49597/3456, -5085521/311040, 123233399/311040, 
  1032889/19440, -255162703/2073600, -5426428249/6220800, 340767467/933120, 
  10243431953/41472000, 339532885247/373248000, -6079075579/41472000, 
  -22568017/38880, -1055643239/1555200, -63145483/1166400, 
  14510912567/12441600, 21253615799/37324800, -84191068319/124416000, 
  3294723169/3110400, 2659439891/9331200, -290056210331/335923200, 
  -34945892023/83980800, -177761/5184, -1146877/5184, 373621/1152, 253/16, 
  -5921/144, -34703/576, 2243/192, 171991/324, -956531/384, -1721/24, 
  7067/192, 18305/192, 1960097/3456, 35171/384, -1091/24, -10, 0, 
  -13855/15552, 229735/15552, -29201/864, 2935/1728, 889279/31104, 
  -74677/15552, -1601/864, -115033/3888, 821/576, 0, 305923/38880, 
  273527/5184, -135539/2160, 745/864, -1200692699/6220800, 17720263/103680, 
  -4325/6912, 19134432749/124416000, -1411/1152, 26261/3840, 
  -109284437/311040, 1317521/43200, 132778411/691200, 1031800349/12441600, 
  -290140429/1536000, 62942389/103680, 478200899/1036800, -568028101/1382400, 
  -496665533/1036800, 0, -82369/5184, -907289/10368, -6089/96, 2575/1728, 
  1007555/5184, 456353/10368, -25615/6912, -398033/10368, -1601/1152, 
  -5192689/311040, 10986463/31104, -106009901/6220800, -246288679/311040, 
  7939929251/124416000, -67857683/311040, -9546581/43200, 
  9771529091/12441600, 31375447/1036800, -40019/1296, -6581/144, 2573/24, 
  -646547/10368, -34273/384, 171383/1152, -10759/288, 195901/640, 
  -380983/1152, -1503179/5760, 4312465/5184, -2045/128, -9219931/3456, 
  8513/128, 480281/1152, 103/6, 1177/24, 1315/24, 27, 1/8, -2021/48, 
  1999/144, 7283/32, 1/6, 1391/48, 48881/144, -1967/288, -19/8, 0, 67/48, 
  -55/12, -557/24, 17/6, -23/4, 2549/64, 3625/288, -203/24, -145/192, 
  -1885/384, 1055/32, 248047/3456, 28537/288, 25417/864, 329/96, -161/48, 
  723/64, 361/32, 77/4, 6107/384, -6059/144, -151637/1152, 100673/288, 
  -274913/864, -325/24, 409/144, 3013/384, -1681/96, 20533/1152, 11793/64, 
  4849/288, -6971/1152, -4271/1152, -121/18, -869/192, 30911/384, 
  -121891/192, 1723115/1152, 175/192, 58663/1152, 52375/384, 303/64, 4655/64, 
  -30553/192, 23/4, -611/32, -4043/96, 215/48, -57/4, -155/192, 3301/64, 
  -609/64, -2297/48, -24509/384, -26459/192, -2017/192, 28361/1152, 
  32761/864, 5597/864, -725/32, 7123/96, 52613/576, 1009/48, 5035/128, 
  -2751/8, -3811/96, 272449/1152, -129083/3456, -13617/32, 12929/384, 
  -137215/1152, -76279/1152, -3959/36, 32761/576, -364067/1152, -1249/64, 
  2375/36, 635/9, 1057/384, -7337/128, -99893/576, -14723/384, 1/64, 5591/16, 
  260143/288, 8237/128, -182459/96, -414455/576, 1708775/1152, 19175/96, 
  96475/384, 4987/128, -140381/144, -977545/1152, 7402699/3456, -87367/384, 
  -89639/1152, 45031/72, 16339/192, -18913/576, -22823/192, -49/64, 3019/48, 
  4367/64, -20813/192, 18913/288, 22823/192, -3019/48, -18913/576, 625/128, 
  -625/384, -625/128, -281651/20736, 61/32, 9/8, 143/192, -153/16, 
  -41768723/41472, 11480273/36864, 4583195/13824, -1805/288, 13986625/165888, 
  -346781591/995328, -13/48, -4280881/41472, -9008809/82944, -3944677/20736, 
  3885911/6144, 3072083/41472, 10874663/5184, 219451369/110592, 
  1023383567/995328, 48949837/13824, -2741797/3072, 3136201/2304, 
  -2374775/82944, 2102423/55296, 3407795/27648, 16248239/165888, -11351/2304, 
  8152657/41472, 852505/6912, -3205859/10368, -2729095/10368, -1795151/20736, 
  -1864633/13824, -3975749/41472, 10979/192, 106663/576, -11623/288, 0, 
  230075/13824, 508577/41472, -2374775/82944, 57737/1728, 43313/41472, 
  1496615/165888, -201395/1728, 1569695/18432, 55913/384, 0, 13049/128, 
  -409529/2592, 4193377/41472, -15061/192, -684317/6912, 2463257/13824, 
  361529/1728, -182707/82944, -159869/576, 13/64, 73657/1152, -3102563/20736, 
  146879/1152, -6964645/41472, -1413205/2304, 535/144, 3883/64, -5173/1152, 
  -11623/288, -13643099/331776, -81593059/165888, 45527861/331776, 
  2283275/82944, 78306775/82944, 122267965/221184, 868867979/1990656, 
  13302889/6912, -2008975/6144, 2949133/4608, 0, -157509167/497664, 
  15960011/36864, -397/192, -866626945/663552, -702019373/165888, 2473/384, 
  4227693173/5971968, 1039489967/331776, 37697/192, -37025359/41472, 
  -59047/288, -115/192, -833467/38400, 29163439/57600, 143238025/331776, 
  -3710291/27648, -291859583/276480, -18120854573/4147200, 
  -4886360339/1990656, 4205951/30720, 2985611809/2764800, 864625303/829440, 
  -4850437/23040, -107918393/276480, 21137/1536, 4230613/115200, 
  -1680665153/1843200, -5101834735/2985984, 407075215/331776, 
  213231749/829440, 103454576903/19906560, 83182148533/11943936, 
  -2875986143/4147200, -2397572383/2211840, 16796861/34560, 
  22452337559/49766400, 3725396599/1990656, -38169245/82944, 
  -203358563227/99532800, -3009271021/497664, 1484033975/3981312, 
  -919763447/1990656, -59129089/331776, 20719524581/11943936, -2115335/82944, 
  -115/192, 1048943/3840, 1422907129/2073600, 5802725/3456, -3710291/27648, 
  5/6, -1345202627/691200, -31495296323/4147200, -7398496829/1990656, 
  4265419/46080, 6081334063/2764800, 1131544321/276480, -1542317/10240, 
  -252482969/276480, -763/512, 632081/23040, -657042361/518400, 
  -15968113597/2985984, 421326031/331776, 151564831/115200, 
  229360489663/19906560, 116481020365/11943936, -4607847233/2073600, 
  -150186897977/19906560, 25761257/23040, 632163491/2073600, 
  7939770469/1990656, -35814341/82944, -502214959427/99532800, 
  -7964570075/995328, 14557312889/3981312, -395511503/1990656, 
  -59752897/331776, 18015976853/11943936, -2115335/82944, 164419777/1382400, 
  50731951/55296, -22696265/331776, 98551073/276480, 45440183/230400, 
  24727073/55296, -140400623/276480, 489917/55296, 85089/1024, 
  2167354057/4147200, 162875173/165888, -79114513/165888, -695677241/2073600, 
  25836695/41472, 21425419/276480, -35185423/165888, -71064215/331776, 
  -12383999/20736, -10237399/27648, -63510587/276480, 2488145/3456, 
  96617497/82944, 25291523/69120, 21395359/13824, 266649/2048, 
  78974473/165888, 48804157/221184, -85450253/165888, 3161550179/1990656, 
  2651287/27648, 22121723/13824, 5067839/13824, -32354225/27648, 
  3349765/4608, 0, -5/12, -17/16, 31/9, -929/24, -80639/288, -151/48, 
  -23513/576, -7849/288, 151/48, 31781/576, 27541/288, -689/48, -1299/8, 94, 
  0, 1855/648, -40271/10368, -257623/10368, 25207/1728, 6007/1152, 
  -1166273/1152, 364609/288, -157652609/839808, 0, -685/144, -6661/192, 
  -7849/288, 95/192, -2627/64, -1765/288, 15/64, 24571/576, -35/48, 0, 
  10442615/62208, -185/96, 116252641/248832, 3275/384, -32693291401/62208000, 
  5/64, -9281129/62208, -15051749/10368, -75348073/248832, 
  -6339140543/18662400, 15464213401/62208000, -1659647/5184, 
  -5801663767/41990400, 12360891143/18662400, 27160379617/41990400, 0, 
  1363/288, -10859/288, 27541/288, -95/192, 60811/576, 49969/576, -5/24, 
  -23801/288, 17/16, 7/288, 52855/192, -1299/8, -19321/288, -6575/36, 
  1409/24, -1826/9, 94, 74765/288, 0, -35/48, -113/24, -485/96, 17/6, 0, 
  15/16, -103/48, 2575/384, -3527/384, 65/64, 33/16, 137/24, -33/16, -65/48, 
  9335/768, 1207/128, -9125/768, -1657/384, -8981/1152, -2653/288, 2027/576, 
  -5453/192, -3259/96, 391/72, 797/64, 647/3456, 2487/128, -2455/576, 
  -2299/1152, 0, -5/48, 11/6, -1489/96, -607/32, -65/64, -13/96, 37/4, 
  953/32, 1657/384, 5509/1152, -2249/288, -391/72, -5057/1152, 2455/1152, 
  5/6, 77/16, 1399/48, 1435/48, -185/96, -13471/576, -13241/288, 211/72, 
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  -1, -1, 1, 3/32, -149/48, 583/48, 599/16, -23/6, 0, -57/64, -701/48, 
  5635/64, -7343/96, 55/48, 383/24, 11831/48, -6313/48, -7/12, -8863/96, 
  -10343/48, -229/48, 487/6, 115/12, 5/24, -193/64, 1175/192, -575/64, 
  421/96, -23/16, 16/3, -1111/48, 4255/48, 127/48, -4049/48, 33137/192, 
  577/48, 19035/64, -21739/192, -5/24, 3065/288, -225/64, 463/48, 155/24, 
  17221/576, -29/6, -4019/192, -48257/576, -13315/192, -1/8, -7477/576, 
  -2641/192, -3911/576, -1019/144, 88879/1152, -997/576, 647/192, 6889/288, 
  781/576, -3/32, 245/96, 2063/288, -243/2, 1937/48, 201/64, 8303/192, 
  -29951/192, 34595/192, -16, -72683/192, 4609/288, 17137/192, 18569/192, 
  -4747/96, 107/64, -895/144, -109/96, -9443/96, -659/64, 2417/36, 
  -68437/192, 855/16, -203303/576, -9937/192, -4723/576, 9745/576, 225/16, 
  -1171/96, 14375/144, 683/6, 329/192, 611/24, -30739/576, 6037/576, 53/96, 
  -1227/32, 5659/48, -2995/48, -1025/64, 12865/576, -2679/64, 22493/192, 
  6903/64, -2047/192, 2959/576, 19663/576, 20305/96, -11461/288, 27137/192, 
  3767/64, -13505/576, -3349/64, -32857/576, 233/288, 2741/144, -749/24, 
  187/8, 9479/192, -3121/96, 481/96, -685/24, -4261/48, 13427/192, -295/72, 
  -21/8, 5/2, -5/2, -61/8, 0, 35/48, -3553/384, 7105/384, -2, 25/96, 
  1289/128, 281/8, -9947/192, 55/16, -65/96, -1387/48, -15533/384, 12701/384, 
  -101/256, 2151/128, 693/64, -5687/768, 17/16, 3019/384, -65/128, -171/32, 
  -1281/64, 1057/32, 89/24, 281/48, -3623/192, 466571/6912, -6241/432, 
  1973/384, 5543/64, -788437/20736, -14033/768, -47561/432, -5905/128, 
  1657/768, -2035/1152, -18763/1152, 403/96, -677/768, -118489/2304, 1093/64, 
  -31217/384, 224413/5184, 9151/72, -469/144, -289/48, -7703/384, 
  -30407/1152, 70817/1728, 209095/3456, 4951/2304, 10057/576, 10145/288, 
  -13/24, 5/12, 4417/384, -8515/128, 3503/96, -3211/384, -2711/128, 8545/48, 
  -3503/96, 3437/256, -3717/128, -42815/384, 5877/256, 14867/384, -465/16, 
  -979/384, -7133/384, -31019/384, 599/96, 1811/192, -80345/768, 
  2947405/20736, 49045/768, 516271/10368, -69353/1152, 19561/2304, 38635/576, 
  8017/192, 141697/2304, 35993/1728, -131989/768, -12991/1152, -10507/576, 
  151/128, 11335/2304, 3/8, 3091/64, -711/8, -1421/384, -423/16, 711/8, 
  -725/64, -4225/192, 5627/384, 169/288, -23225/576, -493/24, -15989/192, 
  805225/10368, 55433/256, -19843/576, -1933/144, 40493/384, 19289/576, 
  -155/32, 1235/24, -20371/384, -1235/24, 7485/128, 37081/1152, -1247/32, 
  68995/1152, -31501/1152, -1391/192, 1391/192, 1391/192, 0, -175/192, 
  19947553/518400, -14479693/248832, 2550689/20736, 95/96, 66679933/172800, 
  7259958667/2073600, 5063563529/1990656, 1027477/82944, -4287979/46080, 
  13268413/307200, -4908528641/8294400, -227891569/497664, 5075671/30720, 
  -91228469/552960, -4661335/36864, -8309/512, 4649617/36864, 451/128, 
  -529/384, -27647/7200, 335643011/2985984, -68596163/124416, 
  -14434433/57600, -421161113503/99532800, -76087434293/11943936, 
  -12600713/248832, 372036781/4147200, 3661940371/33177600, 169471217/110592, 
  820679/15360, 61831243/110592, -5438701/36864, 2761/768, 
  -319541399/2985984, 88969955/497664, 40800768007/19906560, 
  10232818547/1990656, 13266835/62208, 32277844979/99532800, 
  -118521371/165888, -47065033/110592, -1789/1152, 299855/41472, 
  -20280598231/11943936, 10368863/497664, -26385479/497664, -2051/2304, 
  149495/2592, 24826897/165888, 53162393/165888, 607775/1536, -1111699/36864, 
  -273023/10368, 84567947/331776, -187974325/331776, -42088931/55296, 
  1898737/62208, 199390931/995328, -522733/55296, 13459729/497664, 
  35465455/248832, -142901/10368, -30480833/110592, -3199/6144, -203197/4096, 
  -782263/55296, -103626613/331776, 100112093/110592, -37316875/995328, 
  211496795/331776, -16390993/165888, 4395047/36864, 3200617/18432, 
  2640565/36864, 12280999/55296, -4048039/165888, -272539/6144, -93145/2048, 
  0, 53/16, 26525/576, 3757/288, 0, -497/96, -19661/192, -3757/288, 85/192, 
  -7393/192, 16229/288, -61/192, 7751/192, -23/24, 0, 1602121/155520, 
  605711/20736, -5203463/103680, 29857/3456, -2105/10368, -17972107/1036800, 
  8738051/51840, -8765251/311040, -7613/10368, 23531557/20736000, 
  -49333073/155520, -138817/20736, -2752102651/62208000, 5911/432, 195/128, 
  -4663327/103680, 156294881/1555200, 558023/15552, 3803593/622080, 
  120315001/1036800, -109790897/1166400, -28381213/12441600, 
  2100208931/9331200, -1187261/61440, -3905/768, 532469773/3110400, 
  -3339695/93312, -478969/17280, -52396963/933120, -22873733/497664, 
  4717/1152, -3129631/93312, 2422642561/20995200, 38593679/839808, 0, -53/16, 
  -34121/576, -16897/288, 0, -1241/576, 10883/2304, 21277/384, -5/12, 
  69221/1152, 65767/1152, -245/768, -110339/2304, -3/16, 0, 865/48, 993/8, 
  43/9, 15675/64, -3607/32, -175/1152, -531397/2304, -10145/2304, -29/6, 
  -157/2, 11/12, 471/8, -90769/2304, -35/96, -217/96, -265/96, -33/16, 0, 
  -67/64, 2641/192, 239/96, 33/16, -5/24, 1861/384, -1473/64, 13/48, 13/48, 
  -1055/192, 553/48, 251/384, 791/384, -105/128, 0, 565/192, 2161/384, 
  803/96, 33/16, -239/192, -15785/2304, -14237/1152, -269/48, 1781/384, 
  26063/2304, 5179/576, -1465/288, -901/128, 1951/1152, 35/96, -43/96, 
  -857/96, -321/32, 17/64, -2305/128, 11477/384, 321/32, -1799/384, 4297/96, 
  -2683/128, 2923/384, -3367/128, -683/192, -335/192, 1303/128, 1495/48, 
  321/32, 8141/2304, -341/18, -711/32, -2111/1152, 10613/1152, -739/2304, 
  229/96, 61/6, 671/32, 941/384, -2171/48, -671/32, -3473/192, 561/16, 
  1715/128, -2489/192, -397/9, -671/32, 2437/96, 611/18, -2843/192, -13/24, 
  -59/8, 5203/384, 59/8, -1665/128, 187/36, 59/8, -335/72, -3/2, 3/2, 3/2, 0, 
  15/16, 731/384, -6409/1152, -225/16, 0, -25/24, -1/24, 955/192, -713/64, 
  217/192, 3449/192, 11303/384, 85/3, 65/64, -335/128, 235/96, 3953/96, 
  -1019/384, -68117/2304, -3883/192, -1657/384, 1637/128, 899/96, -467/384, 
  1243/192, 391/72, -32911/1152, -781/576, -30799/1152, 17/48, 0, -5/16, 
  13/6, -907/384, 20593/384, -65/64, 1745/384, -127/192, 229/192, 1657/384, 
  -18109/1152, 875/144, -391/72, 6613/576, 2287/1152, 5/6, -139/192, -163/48, 
  979/96, -185/96, -3383/288, 1133/72, 211/72, 1661/144, 143/288, -407/192, 
  961/192, -33/8, 5293/576, -1459/144, -1447/144, -99/64, 1, -49/64, -15/16, 
  0, 0, -59/32, -147/64, -191/96, 301/48, 55/96, 257/192, 1045/96, 1235/32, 
  3619/192, 13/12, -7111/384, -1809/128, -2213/384, -1693/128, 719/32, 
  -905/192, 3511/192, -1433/384, -149/128, -239/192, 115/192, 1795/192, 
  -305/384, -1157/96, -155/192, -6817/384, -9137/192, -11155/384, -1379/384, 
  5479/96, 3563/96, -523/128, -3999/128, -2579/192, 647/128, -1589/384, 
  -2207/128, -647/72, 397/384, 4893/128, 34109/1152, -293/16, -7849/128, 
  1667/96, -383/144, 3715/192, 4379/144, -1501/192, -12907/1152, 9251/576, 
  -8051/1152, -12725/576, -3815/1152, 2743/576, 79/96, 5/3, -401/96, 
  -14003/192, -2669/32, -1217/192, 59/6, -461/16, 5149/192, 433/12, -3095/96, 
  1867/48, -11035/192, 11869/384, -2201/192, -127/32, -119/96, 7733/96, 
  8857/48, 7733/384, -8023/192, -36, -8929/384, -1699/64, 15743/384, 
  3865/288, -10303/1152, -8455/72, 887/128, 28529/576, 4151/288, -469/64, 
  7367/384, -34757/1152, -1519/1152, -1/32, 137/48, 2111/24, 4325/32, 
  -2119/96, 1229/48, -1993/24, 12761/192, -7303/128, 1771/96, -2957/576, 
  -16355/288, -69181/288, 18343/384, 33637/384, -17617/576, 2319/128, 
  4691/36, -64297/1152, -28067/1152, 145/192, -229/8, -1801/32, -6589/192, 
  9947/192, 115/48, 4409/576, 10607/144, -20467/1152, -19571/1152, 1525/192, 
  -5/3, -37/3, 53/48, 439/96, 0, 35/48, 1075/256, 339/256, 325/96, 0, 
  635/128, 3675/256, 18551/768, 245/32, -5/8, -571/512, 3647/192, -9317/384, 
  41/48, -5999/1536, -47947/768, 667/384, 2363/1536, -235/384, -217/192, 
  -149/96, -955/128, 181/96, 283/192, -17105/2048, 609/256, -2171/192, 
  3257/3072, 547/24, -80753/768, 2627/768, 20975/2048, 3611/1024, 573/128, 
  5107/768, 12115/576, -275/96, -25783/2304, 2351/288, 49/192, 139889/4608, 
  -1519/384, -2501/384, -6529/1152, -1015/2304, 46625/4608, -16747/2304, 
  361/256, 1951/2304, 107/384, -6697/3072, -325/32, -5997/128, -6885/128, 
  5003/1024, 23417/1024, -28757/192, -1187/128, -2981/768, 156965/1536, 
  100013/384, 27809/3072, -360553/3072, -253/384, -2327/768, -18775/6144, 
  4251/256, 98389/768, -14843/1024, 64745/512, 96067/256, -845/96, 
  -1998529/6144, -10153/3072, 10063/2304, 18005/1536, -96955/2304, 
  -14911/2304, -409709/2304, 449/2304, 1015/2304, -117803/4608, 47809/2304, 
  -1951/2304, -5539/768, 5805/128, 23697/256, 46309/768, -16441/768, 
  -785383/3072, 14849/96, 5855/128, 48011/1536, -413/48, 8561/384, 
  -593177/1536, -240601/768, -34999/576, 3498991/4608, -117673/4608, 
  18385/2304, 1745165/4608, 89257/2304, -14761/1152, -1309/256, 19969/64, 
  -172001/384, 1923/512, 568853/1536, -233/4, 142151/2304, -392433/1024, 
  291967/1536, -3803/288, -22329/256, -53695/192, 2955/256, -296725/2304, -3, 
  -125/288, 27385/20736, 0, -35/96, 47146669/115200, 188868199/124416, 
  17025473/41472, -25/96, 5481539/9600, 61809311/331776, -2048317603/663552, 
  4337059/46080, -117673581/102400, -26359849043/8294400, -3687819/20480, 
  39670159/61440, 51973/1536, 0, -143/384, -11/64, -44099/2400, 
  -133530365/331776, -65012615/41472, 69757/6400, -585442339/3686400, 
  11893093243/3981312, 2290892473/8294400, 543020157199/99532800, 
  -335803351/552960, 127/128, -1818088613/2985984, 126610351/165888, 
  -7271621231/99532800, -30643681/73728, -28864436387/11059200, -111205/1152, 
  51157951/165888, -1295680031/3981312, 72935/768, 0, -1526213/155520, 
  -410197/7776, -3602971/38880, -108053/3456, 1945/10368, -340232347/3110400, 
  3679103/34560, -24019037/311040, 2857/10368, 11580550897/62208000, 
  -4814371/25920, -127771/20736, -118188991/2304000, 4475/864, 65/128, 
  -220420717/311040, 8513627/97200, -13783/15552, 0, 465709/207360, 
  3917731271/3110400, 98576131/1166400, -5/192, -721115579/4147200, 
  -2422344613/9331200, 7/192, 4870987687/124416000, 0, -1657/768, 
  1102659103/1555200, -1829207/93312, -49/72, -155186627/207360, 
  -3686326799/4665600, 4919/1152, 4993869907/12441600, -893/288, 391/144, 
  2563211/93312, 29/128, 12603365057/16796160, 69/64, 18978631/419904, 37/48, 
  0, -35/128, -1283/768, -1099/768, -33/16, 0, 1595/768, 4693/768, 
  -19095/512, -21721/1536, 15/8, 657/128, -35/48, 44069/1536, -157/192, 
  -4355/192, 3893/512, 2983/256, 4365/256, -4787/384, -239/384, 1129/384, 
  2291/1536, 269/48, -111/64, 229/192, -2147/256, 58351/1024, -415/192, 
  -24581/1536, 42983/3072, -2311/192, 23249/1536, -6491/384, 7/128, 
  -2577/1024, -5179/576, 575/384, 107995/18432, -128807/18432, 21/64, 
  181409/9216, 37327/768, 15805/4608, 901/128, 4121/768, 107371/18432, 
  -1249/384, -1951/1152, -16421/4608, 0, 545/384, 1115/384, -617/128, -35/32, 
  -1585/768, -5319/512, 13973/512, 2059/128, -157/128, 9967/768, -595/6, 
  1723/384, -11157/512, 4565/768, 239/384, -1315/192, 4215/512, 10517/768, 
  1619/256, -10739/512, -387497/3072, 7015/1536, 27905/3072, 589/1536, 
  -7/128, 74657/9216, -45935/4608, -100097/18432, 538451/9216, 60079/9216, 
  -16579/4608, 3343/1024, -103955/18432, -263/4608, -55/48, 41/16, 8975/384, 
  1541/48, -6641/512, 122753/1536, -107863/4608, -461/128, 88141/1536, 
  -319/24, 4, -15457/576, -173515/2304, 7955/288, 198571/2304, 2923/4608, 
  -791/144, 81461/2304, -565991/18432, -223/576, -2851/768, -13099/768, 
  -1451/32, -170705/1536, 315583/4608, 959/96, 42721/2304, 16983/256, 
  -12979/576, -13417/576, 371/384, 51/4, -78355/1536, -12853/1152, 3, 0, 
  -1063/192, 5/8, -7361/576, -7/16, 128767/10368, -361/128, -3287/864, 
  -389/96, 2009/288, 517/128, -239/192, 7477/384, -279/256, 5603/384, 
  -1597/2304, -17933/5184, 18295/1152, -53587/6912, -19943/2304, 1781/384, 
  -43085/2304, -947/768, -29681/1152, 17275/2304, -973/54, -125267/3456, 
  -1465/288, 2183/256, 385/48, 8179/288, 2/9, 1951/1152, -1483/576, 331/64, 
  -5/24, 5/6, 423/16, -4705/576, 74317/1152, 10733/2304, -59171/3456, 
  44737/2304, 14491/11520, -5671/384, -305/64, -2501/144, 46409/2304, 
  -572113/10368, -175717/3456, 344653/10368, -52811/2304, 15373/1152, 
  451/384, -5161/2304, 960227/20736, 11429/288, -14357/1152, -32525/768, 
  -16523/2304, 14459/2304, -91/192, -4837/192, -20333/3456, 26557/384, 
  -16603/384, 1046839/20736, 2021/192, 4147/576, 3763/96, 96347/864, 
  -52561/3456, -6254671/103680, -5209/1152, -330485/10368, -790289/10368, 
  206249/10368, 73883/3456, -191/8, 1831987/20736, 52709/1152, -9089/256, 
  -274901/6912, -22003/576, -1720211/20736, -28495/6912, -20503/2304, 
  527/384, 2063/768, 16753/2304, 0, 35/96, -35962181/1036800, 
  28863431/124416, -3619727/20736, -45/32, -156181541/345600, 
  -11468750693/8294400, -2287576645/1990656, 1648285/13824, 4347019/46080, 
  1515341833/2764800, 381922597/2764800, 10581803/27648, -11499217/61440, 
  -55912187/184320, -860173/9216, 76105/1536, 8951/768, 25/24, 299/128, 
  78919/14400, 1773459541/2985984, 3240223/3456, 153/8, 17262083/57600, 
  254017577503/99532800, 39171194393/11943936, -557609/2304, 
  -7737562487/8294400, -6410426857/11059200, -80029199/41472, 
  242018681/552960, 1929889/27648, -1455/1024, -4985/768, 
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  7/4, 65/12, -9, -289/12, 0, 0, 15/16, 9/4, -85/24, -1/8, -9/2, -63/4, 63/4, 
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  -91/9, -91/9, 509/18, 463/6, -32/3, 189/2, 245/72, -1397/20, 409/12, 
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  1390429/216, 483305/288, -26771/24, -53951/96, 235795/192, 190611/64, 
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  1742393/768, 39155/768, -3718595/256, -2591077/384, 36534847/6912, 
  1654421/144, 0, 55/8, 0, -1307/24, 49, 649/24, 1477/432, -1691759/864, 
  63361/96, 89369/48, 199159/576, -55537/96, -39265/128, -1708769/1152, 
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  12637/32, -5901457/576, -345745/192, -30723/8, -1235593/288, 2310293/576, 
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  126275/576, -41/8, 40529/96, 76757/384, -1365/32, -194913/128, 655/96, 
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  -10433760053/10368000, -971/12, 577360877833/136080000, 
  668130693551/183708000, 6125458507/839808, -187/64, 37015/72, 467/9, 7/24, 
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  3201635219/1728000, 124307473697/15240960, 143065355449/23814000, 
  -7302044159039/466560000, 106580633/62208, -639938969/51840, 
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  -9241339/25920, 275357473/36288, 29684209/8640, -1241243/12960, 
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  -87945143/59535, -4117/432, 56944831841/62208000, 191/144, 92439403/155520, 
  -2287034605/290304, -277390071379/63504000, 25436477/86400, 
  5611458330671/544320000, -79703142529/62208000, 383266475/435456, 
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  -541741258073/30481920, 34190011984769/3048192000, 
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  625/384, -3971783/6912, -86179/256, 455807/13824, 1056565/1728, 
  4381039/13824, -202171/384, 15413/36, 278639/384, -627085/2304, 
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  37670489/82944, -42581/192, -269/27, -525325/512, -74657/288, -3847/72, 
  405/64, 265/8, -70501/192, -9239/48, -3539/96, 31523/64, 71189/384, 
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  237/64, -1033369/2304, -1040809/2304, -6119/384, 1423/8, 81193/384, 
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  259375/1152, 319745/1024, 2373091/9216, -872801/1152, -1565/96, 0, 17/72, 
  103/16, 137/48, -49/48, -2579/144, -671/72, 12737/864, 13357/216, 
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  0, 0, 551/32, -44/3, 4079/384, 15025/192, -36268085/82944, -2566853/3456, 
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  3010067873/691200, 88958329/230400, 2770687081/2073600, -197731537/57600, 
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  119/96, -457/128, -125243/1152, 2651/64, 154291/1152, -3984955/2304, 
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  199077641/69120, 7000433/20736, 3262248323/497664, -492018797/165888, 
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  366251825/165888, -19504241/55296, 0, -4295/1728, 19/16, -27529/5184, 
  131957/2592, -7631/432, 0, 0, 0, -305/192, -125/48, 0, -1385/1728, 19/16, 
  -140959/5184, 155005/1296, -17935/216, 0, 235/36, -10829/144, 0, 72307/288, 
  35/24, -17509/96, 0, 3337/864, 576989/17280, 10813/2160, 625/384, 31/24, 
  -67/4, 2, -38761/1080, 2026025/27648, 17553941/36864, 146412847/165888, 
  991847/1728, 0, -905/432, 89/16, 1/8, -785/72, -15559/48, 11, 1577/16, 
  -2395/144, 245/72, 4501/864, -1145/72, 703/288, -101/24, 488669/17280, 
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  49/6, -7/24, -6889/648, 277223/5184, 359/72, 40547/576, -175/18, -103/24, 
  5, -17921/96, -271/48, 2075/24, -2233/108, -13/8, 22795/288, 2147/144, 
  443/72, -455/72, -3989/16, -3029/48, -2701/48, -18679/144, -1081/144, 
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  457/96, -11/3, 1227/16, -17275/216, -33349/216, -39493/216, -26785/432, 
  11659/864, 32555/288, -301/8, 7523/96, 17033/288, -1133/72, 3623/1152, 
  -1473907/17280, 59111/360, -259453/3456, -1060361/17280, 1883/144, 
  28655/288, 25799/1440, -31259/192, 1227/16, 235027/64, -2684359/1152, 
  -4469009/3456, -41767/864, -1235909465/82944, 1491547/2304, 206038871/6144, 
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  2018162357483/487710720, 174573339481/9676800, -2088871302241/232243200, 
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  -25053319/46080, -2709559691/846720, 3931451/9216, -149337741971/101606400, 
  46410465539/1290240, 2026352197/663552, -751265443409/101606400, 
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  -371636825/36864, 7491195959431/406425600, 1346114857/221184, 
  -7003864603/2257920, 4545842891497/406425600, -42086575/6912, 
  -11072174251/13547520, -7046106105307/406425600, 73144549/138240, 
  -187646598992191/4877107200, 1606733083261/58060800, 
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  -1718233461559/101606400, 7712538577/483840, -228163583/61440, 
  -11565854690959/232243200, 13974510349/2150400, 0, -5/4, 0, -11/96, -77/32, 
  67/12, -145/96, 73/8, 1/48, -1/12, -71/144, 451/96, -23/48, -19/288, 41/8, 
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  0, 805/96, 0, -697/384, -11/32, 1193/384, 155/96, 173/128, 0, 415/96, 
  -295/24, -347/96, 5/48, -835/96, 3349/384, -5/48, 2609/384, -53/128, 
  -89/192, -47/16, 1963/192, 2065/384, -137/48, -97/16, 697/384, -191/192, 
  -2225/384, -173/128, -85/48, 1919/96, 131/24, 869/384, -545/64, -8, 81/64, 
  -1103/64, -293/64, 139/64, -739/96, 77/48, 851/128, 631/96, -331/96, 45/16, 
  89/48, 45/8, -5/6, 0, -133/32, 29/24, -10/3, -1/12, -17/12, -157/48, 1/12, 
  169/96, -617/96, -607/96, -33/32, 103/96, 115/16, 1549/192, 439/192, 
  571/96, -51/32, -1/12, 77/16, 195/64, -211/192, -255/64, -449/96, 1/12, 
  -227/192, 0, -35/24, -49/24, -7/8, 95/24, 49/6, 7/12, -25/12, -19/3, 5, 
  187/24, 19/12, -181/24, -12, 127/24, -155/24, -19/3, 41/6, 35/12, -3/4, 
  121/24, 7/2, -35/12, 5/12, 15/4, -151/24, -65/8, 9, 169/24, -35/24, 35/24, 
  0, 25/16, 7/3, -5/12, -5/8, 31/96, -23/16, -7/24, -191/96, 0, 0, -111/32, 
  -117/32, -63/32, 0, 19/64, 427/192, 17/24, 83/16, 0, 0, 1013/192, 243/64, 
  19/48, 193/64, -307/96, 1/12, -271/192, -95/32, 0, -5/3, -1/3, 0, 41/12, 
  -15/8, 0, -121/96, -43/192, 25/24, 23/4, 19/24, -3/8, -157/24, -381/64, 
  -65/24, -31/6, 1123/192, 713/192, 5/3, 5/3, 21/8, -5/3, -373/96, -943/192, 
  -167/24, -11/12, 853/32, 343/64, 4/3, 79/16, 917/96, -583/48, -53/12, 0, 
  -25/6, -33/16, 0, 11/8, 4475/384, -19/24, -5/48, -573/128, -1411/128, 0, 
  -553/128, 53/128, 89/192, 449/192, 5/4, 89/192, -3313/384, 229/192, 
  -3101/384, 2935/384, 187/64, -227/128, -11/32, -697/384, 1451/384, 
  2963/384, 173/128, 173/128, 0, 65/16, -123/8, -251/96, -1007/96, -1641/128, 
  1343/128, 1299/128, 119/48, -2363/384, -89/96, -23/192, 549/64, 5449/192, 
  -3919/384, -7295/384, 697/192, -247/192, -969/64, -173/64, 5/2, 2045/96, 
  497/96, -2675/192, -6145/384, -5/96, -185/24, -2213/96, 6803/384, 125/24, 
  -41/48, 65/96, -15/32, 41/48, -5/12, 85/12, -5/6, 5/24, -347/24, 15/8, 
  -25/24, 319/24, -25/12, 25/24, -89/12, 5/6, -5/24, 21/8, -3/8, 5/6, 25/12, 
  -5/12, -83/96, 31/48, -33/16, -13/64, -19/12, 149/192, -7/6, -43/96, 
  265/192, 463/192, -137/96, 83/96, 167/64, -65/192, 55/64, 169/96, 61/192, 
  7/32, 383/192, -361/192, -221/192, -55/32, -55/64, 95/96, 0, -305/96, 
  163/64, 335/96, 73/192, 10475/768, -9/128, -335/96, 295/256, -10481/768, 
  -281/128, 163/48, 2767/384, -89/192, 89/12, -1339/384, -365/192, -167/48, 
  -2925/256, 4439/768, 15/16, 1571/384, -791/192, 875/384, -985/256, 509/384, 
  767/768, -4247/768, 31/48, -19/6, -301/768, 1613/768, 173/128, 5/6, 
  -1637/192, -1111/192, 5357/384, 17533/768, 33/4, -2089/384, -701/96, 
  -245/48, 335/24, 659/96, -18271/768, -14501/768, 3503/384, 185/24, 
  -1043/192, 2519/256, -55/16, -257/96, -673/192, 653/192, 55/12, 257/48, 
  211/64, -653/192, -257/96, -5/24, -5/24, 0, -25/32, -31/32, 0, -117/64, 
  -31/32, 0, -67/64, 0, 35/64, 0, 265/96, 97/64, 0, 341/192, 0, -35/64, 
  -35/48, 0, 0, 0, 0, 205/64, -3/64, -335/192, 5/48, -79/16, -433/256, 0, 
  743/256, -53/128, -9/32, -857/192, -33/128, 293/192, 25/64, -2195/768, 
  715/384, 159/256, -515/768, -997/768, 0, 0, 5/48, 0, 0, -105/64, 2017/192, 
  1349/192, 227/96, -801/256, -1157/256, 293/64, -4115/384, 55/768, 
  -1099/768, 0, 0, -91/16, -121/192, 2035/384, 119/32, -7/48, -547/192, 5/8, 
  3/8, -35/96, 3/16, 0, -1/4, 0, 0, 85/12, 1/24, -15/32, 25/16, 35/24, -5/12, 
  0, 31/96, -23/16, -7/24, -191/96, 0, -139/96, -17/12, -53/48, -1/24, 
  -115/48, 0, 17/6, -133/96, 1/12, 169/96, -1/12, 83/96, 63/16, 337/96, 
  -11/8, 5/8, -55/32, 1/12, -45/32, 25/96, 0, -185/48, 3/32, 123/32, 5/32, 
  4121/384, 25/128, -105/32, -5/48, -4141/384, 15/128, -159/256, 403/48, 
  -69/128, -89/128, 2447/192, -1417/384, -175/48, -169/768, -13825/768, 
  353/64, 499/768, 1555/256, -1825/384, 2269/768, -18493/2304, 205/192, 
  449/192, -11465/2304, 1157/768, -161/72, 11/48, -1033/1152, 41/768, 185/48, 
  -279/32, -231/32, -1/3, -31/128, 6239/384, 115/24, -391/256, -375/32, 
  -31/96, -3965/384, 5113/192, 2609/192, -1819/384, -4979/384, 10307/768, 
  22759/2304, -22343/1152, -757/576, -5857/2304, 629/96, 199/48, 31/24, 
  79/64, 3367/384, 1469/384, -6649/576, -21/4, -15019/1152, 2477/288, -11/8, 
  -9/16, -167/64, 1889/576, -1/2, 0, -31/64, 113/64, -3/8, 0, -5/192, 
  499/256, -119/96, 5/96, -637/256, -1865/768, 85/24, 1835/256, -2879/768, 
  89/384, -7/48, 107/96, -89/384, -1823/768, -53/384, 1937/768, 2915/768, 
  -1601/192, 85/12, -227/256, -55/192, 697/768, 1357/768, -311/256, -5/6, 
  173/256, -173/256, 0, -35/192, 79/192, -833/384, 1/6, 0, -5/16, -461/192, 
  -11831/1536, 77/16, -25/192, 17/16, 1601/192, 6475/768, 5/96, 3583/768, 
  -7097/768, -1579/512, -3107/256, -2513/768, 65/256, 43/256, 81/256, -5/16, 
  65/256, -71/512, 299/64, -271/128, -157/512, -2307/512, -8905/768, 
  -4979/1536, 1549/512, -2609/512, -1657/1536, -677/1152, -101/288, 
  -1657/1536, 743/576, -581/1536, 235/128, 12347/4608, 2143/768, 391/288, 
  139/256, 391/288, -3769/4608, -6271/4608, -2455/4608, -2455/4608, 0, 
  -5/192, -257/192, 2489/384, 5/16, -5/64, -1045/384, -7081/768, -14335/768, 
  -1145/384, -4771/256, -997/192, 11509/1536, 1087/64, 333/64, -65/256, 
  241/768, 2341/768, -109/64, 1211/1536, 11365/1536, 27563/1536, 6697/768, 
  4449/512, 3/512, 1657/1536, -191/1152, -41/18, -2959/1152, -13939/2304, 
  -25907/4608, -391/288, -193/2304, 8387/4608, 2455/4608, 5/24, 157/64, 
  -1477/384, 89/96, 1801/384, 27481/1536, 11453/768, -1907/384, -1399/128, 
  -2789/768, -185/384, -8813/1152, -53/72, -42209/4608, -22439/1536, 
  4765/2304, 211/288, 2107/384, 27901/4608, -529/1152, -149/96, -117/128, 
  -55/32, 5/192, 875/384, 1277/384, 4361/1152, 1351/576, -167/1152, 
  -3293/1152, -11/48, -1/16, -17/16, -7/48, 0, -5/96, -51/32, 83/96, -41/64, 
  149/192, 0, 67/64, 43/192, -1/12, 0, -4, 1/3, 25/96, 767/128, -35/96, 
  -745/192, -623/768, -1111/96, 5729/768, -1609/384, -2513/384, -65/128, 
  1145/384, -23/24, -4927/768, 965/192, 365/768, 187/768, 1267/768, 
  -4255/2304, -11/144, 397/2304, -1863/256, 1711/768, -1285/2304, 1711/768, 
  2059/1152, 751/384, -4145/2304, -1267/768, -4957/2304, -97/288, 2455/2304, 
  5/12, 783/64, 5/8, 113/32, 959/256, -7805/768, -1837/768, 2173/768, 
  531/128, 333/32, -41/64, -29/48, -105/32, -14617/768, -881/192, 831/128, 
  389/288, -251/48, -2501/576, 24389/1152, -2773/2304, -413/576, 195/32, 
  -211/48, -59/144, -33/16, -149/24, 89/48, 2425/384, -12505/768, 815/384, 
  17963/768, -2789/384, 2951/576, -985/72, -695/144, 27407/768, -35531/2304, 
  455/144, 10199/576, -4451/384, -3583/576, -217/96, -379/192, -55/16, 
  -1355/192, 491/192, 1277/192, 3059/288, 1585/288, -2/9, -557/72, -5/24, 
  -1/8, -17/8, 7/12, 0, -25/32, -31/32, 0, -67/64, 0, 35/64, 35/48, -35/96, 
  29/96, -13/3, 1/3, 0, -659/192, 575/384, 2141/384, -5/48, 597/128, 
  -1849/384, -5/48, -5393/384, 53/128, 35/192, 15/64, 527/128, -23/24, 0, 
  1853/768, -615/256, -1357/256, 0, -5311/384, 2791/256, 5/48, 4141/256, 
  -85/12, 0, -361/384, -5495/2304, -11/144, 1001/768, 815/768, 437/2304, 
  2663/768, -457/64, -437/256, 65/128, 6197/2304, 2059/1152, -359/96, 
  1517/576, 693/256, -1267/768, -4957/2304, -121/144, 2455/2304, 35/96, 
  -53/24, 629/48, 5/8, 0, 509/192, -11285/384, 4739/768, 5/48, -3989/384, 
  505/16, 0, 131/6, 35/192, 259/192, -695/192, -347/96, -179/256, 11575/384, 
  -5047/192, 1209/128, -13973/256, -289/48, -17/384, -5761/2304, -2171/576, 
  -3679/384, 18887/768, 1817/96, -421/384, 191/36, -3857/384, 3/32, 109/48, 
  -215/24, 89/48, 0, 5593/192, -10697/192, 0, -13235/384, 19/12, -703/128, 
  -509/144, -9151/768, 44293/576, 5795/256, -1/6, 8483/576, -22415/768, 
  -965/192, -5/12, -55/16, -7/48, 34879/768, 197/64, 1423/288, -55255/2304, 
  -1675/288, -1/8, 1/12, -35/192, 29/192, -13/6, 1/6, 0, -659/384, 575/768, 
  2141/768, -5/96, 597/256, -1849/768, -5/96, -5393/768, 53/256, 0, 37/192, 
  659/768, -5/16, 0, -215/512, 55/128, -2413/1536, 5/24, -25/192, -1819/512, 
  1981/1536, 359/768, 5/96, 2541/512, 949/768, -1579/512, -221/96, -2513/768, 
  -65/256, -2615/4608, -101/288, 65/256, 631/768, -1487/2304, -29/64, 65/256, 
  2021/768, -2737/1536, -239/768, -1393/192, 5213/1536, 1267/1536, 139/256, 
  -1267/1536, 3533/2304, -31/288, -11/192, -499/1536, 447/256, -2455/4608, 
  2455/4608, -977/2304, -4165/2304, 35/192, -53/48, 629/96, 5/16, 509/384, 
  -11285/768, 4739/1536, -3989/768, 505/32, 131/12, 1/64, 45/64, -653/384, 
  247/512, 8215/1536, -1081/768, -931/768, 241/1536, -26765/1536, 
  -26077/1536, 2341/1536, -6791/768, 333/64, 1373/4608, -125/72, -1439/768, 
  1301/768, 2915/1536, 457/256, 35003/1536, 4681/768, -293/4608, -3911/4608, 
  931/4608, -37381/4608, 4165/2304, 109/96, -215/48, 89/96, 5593/384, 
  -10697/384, -13235/768, -2515/768, -191/288, -501/512, 46607/2304, 
  30283/1536, 12973/1536, 14811/512, -2789/768, 3029/768, -15971/2304, 
  -85309/4608, -9859/576, 28135/4608, -5/24, -55/32, 34879/1536, 2057/1152, 
  -60655/4608, -32915/1536, 1277/384, 49067/4608, -1/16, -17/16, 0, 0, 0, 
  5/2, 13/4, -9/4, 3/2, -9/2, 0, 0, 11/4, 15/4, 4, -7/2, 5/2, 0, 0, 0, 0, 0, 
  0, 5/2, -1/2, 0, 5/4, -15, 1, 163/12, 15, 0, 0, -127/12, -38/3, -38/3, 
  -38/3, -245/144, 31/6, 25105/768, 15/128, -2905/768, 0, -58369/3456, 
  -82835/2304, -342745/6912, 25105/768, 15/128, -2905/768, 0, -58369/3456, 
  -82835/2304, -342745/6912, 7645/96, 70/3, 7693/96, -3197/96, -5057/96, 
  -7949/96, -8141/96, -7/4, 0, 1/6, 2267/96, -5/24, -1/12, 0, 1, -2671/32, 
  -5/12, 10/3, 15/2, 6, -17/8, 13/2, -31/4, 1/2, 5/2, 5/8, -1/4, 0, 0, 0, 
  5/9, -5/9, 17/36, 41/36, -1/36, -4/9, -7/8, -67/18, -74/9, -7/4, 0, 0, 0, 
  0, 11/4, 13/4, 13/8, -17/4, 6, 0, -5/4, 28/3, 1/4, 1/4, 1/4, 0, -3/2, 3, 
  -3/2, -3, 3, -3/2, 3, 0, -3, 3, 1/12, 1/6, 0, 0, -3/2, 0, 5/2, 2, -5/12, 
  -3/2, 3/2, 0, 0, 0, 0, -3, 1, 0, 0, 0, 5/2, 3, 7, -1/2, -3, -15, 30, 12, 
  275/4, 395/4, -12, 6, -37, -323/4, 17, -3, 3/2, -15, 30, 12, 275/4, 395/4, 
  -12, 6, -37, -323/4, 17, 3, 3/2, 15, -30, -12, -275/4, -395/4, 12, -6, 37, 
  323/4, -17, -47/12, -38/3, -115/6, 76/3, -75/4, -15, -15, 95/6, 15, -7/2, 
  -5/3, -10, 10, 10, 5/2, 11/4, -2/3, 0, 0, 19/4, 13/6, 151/6, 41/6, -76/3, 
  -241/6, -76/3, -76/3, -131/4, -38/3, -38/3, -38/3, 76/3, 0, 15/2, -6, 7/4, 
  25/6, -85/6, 0, 157/6, 3/2, -121/6, 91/6, -1/6, -23/3, 0, -9/2, 25/4, -3/2, 
  31/4, 7/12, -31/3, 3, 40/3, -3/2, -31/3, -3/2, 35/6, -22/3, -35/6, 101/4, 
  -13/3, 98/3, 9, -76/3, -21, -76/3, -76/3, 24, 24, -107/3, -61, 31/3, 
  -166/3, -31, 15, 76/3, 15/2, -12, -31/3, -62/3, -24, -31/3, 15, -3/2, 
  -221/4, -17/3, 5, 40/3, 575/12, 233/6, 497/12, -9, -91/6, 17/4, 23/3, 12, 
  -18, 62/3, -112/3, -31, 30, 31/3, -58/3, -62/3, 197/3, 76/3, -3, -3, -9, 6, 
  9, 311/288, 68837/2304, 177/128, 79/24, -8549/256, 9175/1536, -61843/768, 
  15/64, -257903/1536, 25663/768, 23363/192, -16279/1536, 55/256, 33643/384, 
  -17/48, -33239/768, -62845/384, 15/32, -30603/256, 815/12, 347/3, 93/8, 
  29/16, 33101/192, 31/12, -4199/128, -19/8, 26071/768, -7649/96, 15/64, 
  -35935/768, 11921/384, 95/16, 46775/1536, 409/256, 29399/384, 47/16, 
  885/256, 59047/1536, 281/48, -127795/1536, 769/144, 263/128, 6779/384, 
  -263/128, -6779/192, 6779/384, -341/384, -263/256, -1111/1152, 263/512, 
  263/64, 1739/576, 30359/768, 65587/384, 2249/32, 44153/768, -29167/384, 
  -2285/48, -11229/256, -97519/384, -5101/32, -83/24, 1003/768, -341/768, 0, 
  6379/384, -3/2, 7963/96, 1129/16, 569/24, -1649/48, -11/24, -35447/768, 
  -97775/384, -3443/48, 13/8, -5435/768, -6901/192, -79/24, 44269/768, 
  3723/256, 4589/4608, 18823/576, 26327/1536, -3061/576, -3061/1152, 
  7655/4608, 3061/576, -3061/1152, 263/1024, -263/1024, 3061/1152, 1801/64, 
  4589/4608, 24727/768, -263/512, -3061/576, -3061/576, 511/768, 3061/288, 
  -3061/1152, -48665/1536, 106097/3072, 3061/384, -263/1024, 4633/256, 
  3623/2304, 0, -3061/1152, -4589/4608, 3061/576, -104431/3072, -263/512, 
  3061/576, 53443/3072, 157/288, 263/256, 263/128, 1739/1152, -263/256, 
  -263/128, -2053/576, -789/512, -2389/768, 263/512, 263/128, 263/1024, 
  35/96, 263/256, 263/256, 1739/1152, -263/512, -263/128, -2053/576, 
  -263/512, 811/768, -263/512, 263/128, 789/1024, -11/8, 4, 15/2, 13/8, -1, 
  1/2, 5, -13/4, 7/2, -7/4, 11/8, 0, 0, 0, 1/9, -79/36, -5/16, 19/144, -3/16, 
  233/72, 161/144, 1/12, -4/9, 0, -5/9, 1, 0, 0, 0, 0, 0, 0, -4/9, 52/9, 
  25/24, -173/72, -7/8, -73/9, 47/72, -1/3, 3/2, 0, -3/2, 0, 2/9, 0, 0, 1/9, 
  0, -1/3, 3, 0, 0, 1/2, 0, -5/8, 1, 11/8, -3/4, 11/8, -1/4, -1/4, 127/12, 
  1/4, 1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -1/8, 1/2, 5/8, -3/2, -1/4, 3/2, 
  -3/4, 0, -3/4, 3, 6, -3/2, -5, -9, -13/2, 3/2, 3, 3/2, 0, -6, 0, 3, -3/2, 
  15, -30, -12, -275/4, -395/4, 12, -6, 37, 323/4, -17, -3, -12, -221/2, 2/3, 
  10, 6, 188/3, 1003/6, 143/3, 373/6, 98/3, 41, -433/6, -106/3, 5517/512, 
  -2839/768, -263/128, -1111/1152, 263/256, 1105/192, 1739/576, 263/256, 
  -12079/1536, -263/256, 263/512, 0, 0, 0, -5/4, 0, 0, 0, 2/3, 2, 5/2, -5, 
  5/2, -30747/1208, -13573/1208, 0, 0, 0, 0, 5/2, -1/4, 0, 0, 7677/3020, 0, 
  0, 0, 5739/6040, 0, 0, -7677/3020, 0, 86227/3020, 0, 0, -2/3, -2, 0, 
  199/24, 15/8, -35/8, 15/8, -20/3, -221/24, -107/24, 53/6, -107/8, -41/3, 
  -58/3, 91/6, -49/24, 221/12, 17/12, -59/12, 109/6, -69/4, 107/4, 16, -38, 
  -31/4, 511/12, 38, 13/3, 25/4, 21/8, -37/6, -71/2, -29/2, 697/24, 71/2, 
  -23/6, 5/2, 23/6, 0, -97/6, 0, 1/24, 0, 0, -7/12, 493/24, 0, -205/16, 0, 1, 
  -325/24, 191/16, 109/12, 0, 0, 91/6, -5/12, -7/24, 0, 9/4, -19/8, 183/16, 
  25/4, 13/4, -9/4, -29/12, 1/24, 139/24, -19/64, 43/48, 0, -281699/3456, 
  -35569/768, -297479/4608, 282725/3456, -43291/864, 297479/4608, 
  660257/6912, -5/6, -1451/32, -7253/192, 67/8, -1395/32, 1465/16, 14657/192, 
  8315/64, -23/96, -4293/64, 5/2, 1483/16, 32561/576, 4261/48, -39995/576, 
  -18457/144, -5/2, -9023/192, -9095/192, 5/6, 1/3, 5/6, -5/2, 11/2, 13/4, 
  -17/4, -11/2, -1/2, 7/2, 0, 21463/1152, 1771/192, 5/24, -2719/1152, 0, 5/6, 
  8309/192, 0, -4/3, 0, -5/4, -4705/96, 2/3, 5/6, 0, 293/24, 0, 5/12, 0, 
  -4/3, -2479/64, 15/8, 1/3, -1/4, -25/6, -1/3, 0, 0, 0, 65/18, 1/6, 5/6, 
  41/36, 79/72, -62/9, -23/18, -115/72, -7679/576, 25/18, -375/64, -7/24, 
  -5/2, -97/36, 377/64, 35/9, 445/24, 791/64, 5/2, -361/576, -1297/576, -5/6, 
  11/6, 5/6, 1/6, -13/12, -13/12, -1/6, -11/12, -25/12, 1/3, 0, -2/9, 0, 0, 
  -19/36, 0, 5/12, -8/9, 47/36, -8/9, 10/9, 5/9, -7/8, 7/8, 7/4, -7/8, -7/8, 
  15/8, 43/8, -20/3, -1/4, 7/8, -2, -1, 9/8, -1, -7/2, 19/8, 1, -1/4, -1/8, 
  -21/8, 1/8, 329/24, 223/12, -27/2, 1/4, 1/8, 1, 7/4, -43/3, 1/4, -1/8, 
  -9/8, -1/4, -21/8, 25/8, 21/8, -205/24, 1/4, 11/4, -27/8, -1/4, 0, 3/4, 
  5/4, 0, 0, -3/4, -7/4, 5/4, 1/2, 0, 0, -3/4, 3/16, -15/16, 3/16, 0, 0, 0, 
  1, 0, 0, 0, -35/4, 1, 5/4, -15/2, -91/8, -5/2, 27/8, 0, 45/32, -5/16, 5/16, 
  139/8, 241/32, -15/8, -33/8, -33/8, 33/8, -41/96, 0, -103/12, 0, -11/3, 
  -5/24, 39/16, -17/12, -139/8, -121/96, -17533/672, -15/8, 5/8, -15/8, 
  -645/64, 629/64, 4759/192, -2935/192, 5/8, -3/8, 45/8, 103/64, -451/64, 
  -5/4, -15/4, 79/16, -4253/84, -95/16, -6035/504, 15/4, 338999/4032, 
  69547/1008, -70897/4032, -5/8, 9/4, 0, -165/64, 0, 2215/192, 1/6, -3/8, 
  5/2, 127/64, -2, -5/4, -15/4, 5/8, 7/2, 3/2, -341/64, 2287/192, -45/16, 
  -21/8, -13189/4032, 5/2, 1069/18, 43/8, 43943/2016, -126337/4032, 20, 
  1099077/12080, 154179/3020, 37903/3020, 16857/6040, 16857/3020, 
  -37903/3020, -16857/3020, -318095/2416, 56231/755, -349611/12080, 
  -25187/755, 199381/12080, 437143/12080, 245699/6040, -56231/755, 
  13573/1208, -245699/6040, 17/24, -1/12, -2, -41927/1812, 118663/12080, 
  304727/12080, -17913/12080, 2559/1510, -19329/12080, -7329/6040, 
  -16857/6040, -16857/3020, -2559/1510, 7329/6040, 16857/3020, 257829/6040, 
  -72573/6040, 349611/12080, 25187/755, -23487/6040, -437143/12080, 
  -245699/6040, 71189/3020, -40719/1208, 245699/6040, 42997/7248, -1677/3020, 
  -16389/6040, 0, 103/12, 0, -2559/1510, 34067/18120, -5/12, 39711/604, 
  19617/6040, 340497/6040, 17/12, -26187/6040, -555091/36240, -519529/7248, 
  90941/1510, 107057/2265, 721727/9060, -380027/6040, -5/8, 15/8, -9/8, 21/8, 
  -37/8, 2, 19/8, -5/8, 3/8, -45/8, -3/8, 27/4, 3/2, 15/4, 0, -81479/12080, 
  4971/1510, 22149/3020, 3581/9060, -133/24, -5/4, -9361/6040, -17039/2416, 
  5/4, -961021/12080, -419457/6040, 159521/3020, 455773/12080, -393617/6040, 
  0, 5/8, 21/4, 5/8, -21/8, 21/8, -5/8, 11/8, 0, 5/4, 53/24, 3/8, -5/2, -3/4, 
  2, 3/8, 3/2, 15/4, -1/4, -5/8, -105639/12080, 13089/3020, 1/8, -4201/2265, 
  1, 5/8, 12233/6040, -127/2416, 0, -181431/2416, -245591/6040, 267719/4530, 
  749341/12080, -196431/3020, -266/3, 5/4, -233/3, 335/6, 0, -37/8, -215/24, 
  421/12, -11/8, 505/24, 223/12, 11/4, -27/2, 233/3, 3/2, 5/12, -431/8, 
  -49/6, -165/8, -317/6, 9/4, 1003/24, 265/24, -11, 266/3, 0, 0, 0, -175/3, 
  623/8, -29/3, 739/48, -2237/48, -280/3, -31769/192, 1391/12, -20765/96, 
  -51821/192, 178, 569/6, -4687/24, -359/3, 19387/96, 20573/48, -715/24, 
  -341/24, 172/3, 395/24, 0, -935/24, 0, 175/3, -5/2, -31769/192, -148/3, 
  -30449/192, -355/48, 175/3, 569/6, -475/6, -359/3, 679/24, -199/6, 
  -50803/144, -5659/64, 977/64, 14711/48, 349/96, -7/2, -11/48, -115/6, -10, 
  106/3, 10, -625/128, 11/24, -3, 7/8, -515/24, -111/4, 125/4, -151/6, 
  997/24, -773/24, 725/24, -5/16, 125/12, -341/12, 935/24, -367/3, 247/6, 
  1351/24, -299/6, 119/8, 415/4, 509/12, -181/6, -20/3, 30, 185/12, 17, 
  -76/3, 35, -1, 29/4, -29/6, 5, -46/3, -625/384, 0, 5/8, -5/8, 5/12, 3/8, 
  587/24, -15/4, -19/6, 431/24, 45/4, 379/12, -85/8, 1/2, 15/4, 7/12, 
  -563/12, -31/6, -23/3, 1/3, -677/12, -397/12, 31/6, 94/3, 43, -625/192, 
  187/48, 33/8, 152/3, 167/8, 122/3, 145/6, 625/384, -179/256, 17/8, -39/8, 
  -707/24, -87/2, -335/16, -29/3, 779/24, 337/16, 46/3, -65/24, -27/2, 
  713/24, 449/8, 379/8, 145/48, -811/24, -721/24, -653/12, 815/48, 953/12, 
  85/8, 61/24, 293/12, 1315/48, -22/3, -59/24, -333/4, -177/4, 1069/48, 
  2291/24, -313/12, -7/8, 15/4, 283/12, 0, 5/6, -107/6, -46, 0, -15/8, 
  229/12, 0, 3/2, 5/12, -25/8, 119/12, 117/2, 167/24, -44/3, 13/8, 79/24, 
  -1445/24, -99/8, 101/2, -15/8, -175/24, 415/12, 35/8, 15, 89/8, -47/3, 
  -109/8, -245/24, 317/4, -19/4, -11/6, -51/8, 149/12, -13/12, -676667/13824, 
  -300791/4608, -1204675/13824, -75/128, -44123/576, 2483/288, 603/512, 
  813557/9216, -11/16, -107755/3072, 45/512, -75/128, 84715/3072, 
  -358033/4608, -727/72, 0, 603/512, 813557/9216, -11/16, -7999/3456, 
  -2915/512, -713711/3456, -60673/512, 194525/4608, -434177/4608, 
  492793/13824, 2798567/13824, 720049/27648, 434177/4608, 3073829/27648, 
  5/16, 2551/3456, -77/96, 76391/6912, 61/192, -837913/9216, 214321/6912, 
  -13663/96, 117441/1024, 40895/288, -40853/2304, 16435/2304, -1432147/18432, 
  -5975875/27648, -1825769/18432, 43/96, 437/384, 364777/6144, 85/96, 0, 
  -110705/2304, 5929/3456, 61/192, -5/24, -249131/1536, 34715/864, 1/8, 
  322673/1536, 0, 35/24, -14065/288, -18343/768, 1391161/9216, 
  -6182617/27648, -337325/1536, -19/12, -719/128, 389993/6144, 77/96, -5/48, 
  -5225/3456, -255161/2304, -4589/9216, -349625/4608, -16087/3072, -77/96, 
  3061/1152, -5/6, -4021/2304, -5/4, 5611/3072, 174571/2304, 119921/6144, 
  -3061/1152, 2581/1152, -2101/2304, 13345/1536, -4649/256, -1141/2304, 
  7943/2048, -3529/768, -1486103/9216, -41/64, 16058075/9216, -1661477/1152, 
  -144491/1152, -5/4, -4457/96, -2503/32, 4987/192, 2, 4471/48, 16499/96, 
  -7/8, 2207/192, 297/16, 5, 4553/24, 218269/1152, 4153/48, -5953/48, 
  -124579/1152, -25/4, -26791/192, -4495/48, 31/12, 119/24, 12601/288, 103/8, 
  31493/256, -43367/2304, -22801/192, 1/24, -27455/768, -142481/1152, -7, 
  15167/3072, -8641/1536, 28055/3072, -9845/768, 1003/6144, 0, 89/96, 
  1087/96, 2575/96, 5/4, 3947/288, 1921/32, -1/3, -179/72, 0, -1/4, 
  19453/192, 67667/384, 109/96, -9055/144, 20905/1152, -59/12, -13589/96, 
  -8773/192, 31/12, 29/24, 11977/288, 62651/1152, -5653/1536, -85519/4608, 
  7061/3072, -151/24, -18117/256, -135233/1152, -17/12, 2823/1024, 
  14395/2304, -144053/3072, -11725/768, 117913/6144, 0, 0, -5/18, 0, -5/32, 
  61/96, -41/144, 155/96, 0, 5/12, 0, -5/12, 0, 0, -151/36, -25/36, 0, 0, 
  5/2, 0, 781/192, 5/12, 19831/1152, -13/48, 2587/1152, 49/24, 14729/2304, 
  -1187/576, -5665/2304, -779/1152, -15409/3072, -185063/9216, -5301/256, 
  4411/1024, -2/3, 0, 11/36, 0, 0, -107/36, 0, 10/3, 0, 4/3, 0, -3/4, 16/9, 
  -61/36, -10/9, 5/12, 0, -47/36, 0, 5/6, -25/12, 7/3, -13/3, -71/36, 5/12, 
  -5/12, 17/6, 11, -5/6, -31/6, -463/96, 0, 0, 0, 0, -1/18, 11/36, 5/72, 
  -2759/288, 0, 107/72, -487/24, 0, -2239/576, -5/4, -17/9, 1481/288, 8/9, 
  10823/576, 1567/576, 5/2, 47/48, 1297/576, -4/3, -731/72, -191/18, -11/6, 
  101/9, 211/18, -37/24, 1621/72, 415/36, -629/36, -577/36, -9, -45/8, 10/3, 
  331/24, 9/8, 0, 223/288, -679/288, 5/6, -4201/576, 9/8, 0, -47/288, 
  -559/576, -5/4, 2471/576, -9/8, 11/4, 69/64, 409/288, -1/12, 0, -115/36, 
  -11/12, 0, 85/18, 181/18, 667/72, -445/72, -107/9, 119/36, -103/18, -7/36, 
  235/36, 23/4, -7/8, 13/8, -7/4, -13/4, 21/8, 13/8, 7/8, 7/2, -3/2, 7/2, 
  33/8, -7/4, -21/8, -1/8, 7/8, 7/8, 7/2, -7/8, -7/4, -7/2, 7/8, 7/4, -27/8, 
  15/4, 329/24, 69/8, -337/24, -7/4, -21/8, 2, 5, -125/12, 7/4, -2, -7/4, 1, 
  -41/8, -9/8, 2, -5/4, -1/8, -73/2, 31/24, 0, 0, 49/6, -5/12, -5/6, -9/4, 
  -23/8, -47/8, -21/8, 27/4, 7/2, 21/8, -55/8, 55/3, 3, 29/4, 65/8, 9/4, 
  -83/8, 1/2, -185/24, -47/8, -19/8, 77/8, 5/4, -69/16, -43/8, 773/48, 7/2, 
  -99/4, 83/8, 99/16, -427/24, -103/16, -87/16, -21/8, 13/2, 85/16, 0, -3/2, 
  -5/2, 0, 3/2, 5/2, -19/48, 121/24, 33/4, 27/8, -53/8, -13/8, -3/8, -271/32, 
  -4, 2425/192, 2, 3/2, -3/8, -13/4, 0, 23/8, 0, 31/8, 49/12, -155/12, 
  -251/32, -3/8, 19/24, -13/8, 9/4, -55/24, 7/8, 15/4, -35/8, -29/4, -5/8, 
  21/8, 1/2, -15/8, 7/8, 5/2, 1/8, 17/3, 33/8, -45/8, 11/4, 35/8, -21/8, 
  31/32, -551/48, -379/96, -49/24, 139/16, -139/8, 139/16, -613/96, 287/16, 
  169/32, -139/4, -139/4, -59/12, 13/16, -1081/96, -167/24, 5/32, 139/16, 
  -139/16, -65/12, 391/24, 49/24, -417/16, -139/16, 1607/96, 853/96, -139/8, 
  -1195/96, -45/32, 4, 0, -7/32, -5/2, 105/32, 3/4, -63/16, 3, 0, -51/8, 9/2, 
  245/32, 27/4, -77/96, 37801/1344, 9167/672, 139/8, -33/8, -923/48, -139/8, 
  -475/48, 229/8, -14561/336, 871/48, 131157/2416, -2559/1510, 127209/2416, 
  16627/1208, 16857/3020, 16857/1510, 5/6, 2559/1510, -16627/1208, -9561/755, 
  5/4, -5/24, -2106133/12080, 522421/6040, -349611/6040, -50374/755, -2, 
  49271/2416, 446203/6040, 21/4, 245699/3020, -745961/6040, 38303/3624, 
  -864133/12080, 518991/12080, -2559/1510, -42219/1510, 18439/1208, 
  16857/3020, 2559/1510, -18439/1208, -16857/3020, -310517/2416, 89117/1208, 
  6411/6040, -541993/6040, 263233/12080, 30857/604, 516797/6040, 
  -414483/3020, -257887/6040, -813629/12080, 393617/6040, -5/12, 11, 25/24, 
  -15927/1510, 7647/1510, -19/2, 3/8, 2691/755, -5/3, -23/4, 1/3, 
  646841/4530, -997691/18120, 9/2, 57497/18120, 4/3, -1169009/36240, 
  624463/3624, -62197/3020, -356983/3020, 5/6, 29391/6040, 14011/3020, 49/24, 
  22857/6040, -11859/3020, -41669/3020, -16857/3020, 13223/6040, 3187/1510, 
  3/8, 11859/3020, 27621/3020, -95/12, -23/4, -2/3, -6, 1160049/12080, 
  40717/3020, 544735/3624, 291191/3020, -497713/9060, 9/2, -24837/3020, 
  -1756451/36240, 4/3, -3467707/18120, 382329/6040, 4669637/18120, 
  1201521/12080, -37530/151, 37/18, -2, -22931/288, 2719/48, 1693/72, 
  44039/288, -65/16, 51535/192, 260377/576, 51727/96, 118231/192, 
  -118543/576, -51343/96, -51407/64, 233/3, -5/2, 154205/288, -49615/192, 
  -412831/288, -297691/288, 141581/192, -379/8, -3971/144, 0, 63991/288, 
  3106/9, 11443/96, 27/8, -23017/192, -129493/576, 107/12, -39421/288, 
  -1505/24, 11/8, -532855/576, -545527/576, -18129/32, -49877/96, 2167/192, 
  -11/4, 284251/288, 161869/192, -233/3, -52991/96, -2283371/1728, 
  -248167/576, -310597/864, 267499/192, 3927935/1728, 322303/288, -50031/64, 
  -340535/144, 279715/864, 613/12, 643/24, -10067/48, -93, -58147/144, 
  -11083/144, -3655/288, -16153/288, -389/24, 62359/144, 173917/96, 
  57565/144, 556741/192, 72025/64, -3847/12, -68153/72, -22147/36, 386, 
  -541/24, 49561/36, 176885/144, 18917/864, 74233/432, -43/6, -6923329/1728, 
  -6250957/1728, 8609/72, -162037/144, -53765/864, 2183021/864, -973/96, 
  17/4, -63271/288, 2017/288, 323/24, 1, 406627/576, 64457/288, 2399/18, 
  -48863/576, 8317/288, -217/8, 8239/36, -164869/96, -44791/96, -11362/3, 
  -714035/576, 241/4, 41009/72, 51049/48, -404/3, 52835/96, -1278757/1728, 
  -377755/192, 288205/576, 616567/864, -21909/32, 4515359/864, 1487209/288, 
  -49825/48, 169361/96, -35173/96, -175343/288, -94409/64, -25483/864, -15/8, 
  -1, 271/24, -107/4, 523/24, 1111/24, -5/2, -1031/24, -123/4, 389/48, 15/4, 
  -133/8, -349/24, -355/3, -47, 1385/12, -15/8, -11/8, 3229/24, -995/24, 
  -883/24, 331/6, -851/24, 695/24, 205/6, 1117/12, 791/24, 1/8, -413/8, 23/6, 
  5/2, -106/3, -23/6, 3125/384, -12733/768, -6193/64, -9611/96, -33323/384, 
  -27, 53/6, -3961/192, 19/6, 3821/192, 881/24, 131/12, -256/3, 161/4, 527/6, 
  547/12, -3415/192, -23695/192, 4513/192, 7/24, 2393/96, 1171/64, 
  -25649/768, 2045/48, 15023/192, -2195/32, 1441/48, 1261/64, 3269/384, 
  361/64, -16, 1081/12, 24311/192, 511/6, -4513/192, 25/16, 4255/3456, 
  -34139/1152, -72185/3072, 76074203/110592, -178801/4608, 11/96, -665/192, 
  -292579/2304, -1/12, 176485/3072, -88891/1024, -92393575/110592, 
  -183733/4608, 1210073/9216, -176485/3072, -446339/3456, 484457/6912, 
  -1210073/9216, -432511/13824, -10/3, -8563/4608, 256127/3456, 61/96, 
  -328775/3072, -2557751/9216, 17009/1728, 497351/3072, 2793445/9216, 
  -6637/288, 13/24, -126037/2304, -19297/1152, 557923/18432, -97999/216, 
  -5824805/18432, -31/32, -215/48, 361705/3072, 27/16, 3419/512, 
  -216881/13824, 34139/576, -72429/256, 1379099/13824, 199483/768, 
  -15439/576, 6913/768, 178909/2304, 245/48, -143323/13824, -297431/13824, 
  -2341795/27648, -185017/2304, -276521/27648, 35/16, 14321/3456, 
  -1486103/9216, -15/8, 498835/3072, 277775/9216, 4709/96, -89092583/110592, 
  -59453/4608, -143/96, 16058075/9216, 25/8, 148657/1152, -83495/4608, 
  -1661477/1152, -180325/3072, -144491/1152, 15/8, 318971/9216, 
  -598189/27648, -217225/3072, 100871491/110592, 79723/768, -25/8, 1439/768, 
  -855313/9216, 180325/3072, 24099/1024, 260623/13824, -7474171/55296, 
  1022303/9216, 2158039/55296, 0, -163/36, -61/36, 0, 119/36, 0, 85/36, 0, 
  -119/36, 0, -15/4, 0, 163/18, -29/18, 0, -53/12, 0, 121/36, 19/36, -163/36, 
  299/36, 29/18, -529/72, -5, 0, -127/192, 125/64, 0, 12859/1152, -27/16, 0, 
  1373/576, 33481/2304, 5/8, -899/128, 27/16, -79/12, -230983/9216, -17/18, 
  19889/3072, 0, 0, 0, -41/12, 13/72, -51/8, 25/192, 0, -179/768, 95/256, 
  829/288, 10351/4608, -2795/2304, 1/4, 1/4, -73/2, -3/8, 1/4, 23/12, -1/4, 
  -1/4, 127/12, -1/4, -2/3, 2/3, 37/12, 25/6, 7/4, 23/16, 35/16, 3/2, -9/4, 
  -3/4, -5/24, -107/12, 1/24, 5/6, 5/24, 5/24, 5/24, -5/24, 73/12, 10/3, 
  5/12, -5/8, -5/12, 9/8, -53/24, -9/8, 1/24, 7/24, 2653/48, -1019/24, 
  145/12, -2855/48, -145/12, -21/2, 275/48, -1031/288, -1/2, 0, 17/24, 0, 
  383/288, 0, 3/8, -23/3, 625/24, -127/48, -107/12, 41/6, -517/48, -143/24, 
  35/12, -1, -1279/48, -39/4, 47/8, -21/8, -59/6, -71/12, 7/8, 5/64, 5/32, 
  5/64, 0, 0, 5/32, 0, -15/32, 0, 0, -5/64, 15/64, 5/16, -15/8, 1201/96, 
  5/16, 15/8, 0, 5/48, -13/12, 0, -53/128, -5/4, 0, -67/96, 0, 0, 697/384, 
  11/32, -497/384, -145/96, -173/128, 0, -5/48, 5/48, 53/128, 89/144, 
  -565/384, -229/288, 845/1152, 43991/2304, 3/4, 5/24, 109/8, 71/24, 7/6, 
  -5/24, 5/12, -1/12, -3304781/36240, 3/2, -928849/18120, -11699/4530, 
  -14627/9060, -97/24, -5/12, 91661/6040, 27173/4530, -5/6, 1/12, 
  318095/2416, -465703/6040, 349611/12080, 908/453, 5/4, -77089/2416, 
  -461303/12080, 5/12, -245699/6040, 221149/3020, 9085/906, 74547/2416, 5/4, 
  65/24, 23/12, 245/128, -395/128, -77/8, -59/6, -2659/384, 155/24, 57/4, 
  -901/384, -19/3, -75/64, -257/384, 0, -325/96, 1/2, 23/12, -5/48, 
  -3727/192, 0, -8977/384, 53/128, 0, -295/192, -871/192, -109/12, 0, 
  4729/192, -5/12, 10135/384, 19/48, 17/24, 3415/384, 493/32, 299/192, 
  581/384, 115/128, 289/96, -2233/384, -167/12, 1/24, 0, 5/48, 
  40973587/869760, -5/48, 5299177/72480, -53/128, 5173/576, -5681297/869760, 
  -164231/5436, -8607587/289920, 25697/576, 1437803/173952, -14177/384, 
  -55/16, 503/128, -8, -4053253/96640, -18795043/193280, 777361/96640, 
  -21784579/579840, -17750123/193280, 0, -697/96, -145/8, 2353/48, 0, -13/24, 
  1201/48, 1819/48, 1/12, 19/24, -1739/96, -1/6, 233/2, 59/4, -1/2, 31/6, 
  3459/16, -3379/16, -3443/16, 0, 0, 0, 5/48, 0, 5/48, 157/32, -1267/96, 
  11813/144, -7/4, -359/12, -1423/48, -5, -269/48, 25/24, 1091/32, -553/32, 
  -3711/64, 44/3, 1025/192, -14599/192, -4825/64, 137/12, 175/12, 3905/96, 
  5545/96, 12473/192, 549/32, 18977/192, 43757/192, 1565/64, 86, 53/3, 
  199/24, 12929/64, 6467/64, 148/3, 337/6, -5473/192, 7135/192, -625/768, 
  -625/768, 45/8, -1487/16, -729/32, 39705/128, 123, -18679/128, -1075/12, 
  -15/16, 6899/32, 671/32, -271/3, -641/32, 45889/1536, -12571/128, 
  -46529/1536, -5/4, -245/192, 26159/384, -37873/128, 20905/192, 
  -105967/1536, 113081/384, 3611/1536, -13/8, -28523/192, 9391/384, 2505/64, 
  61227/128, -1675/512, -1905/16, 3791/16, 97601/192, 53799/128, -5407/48, 
  85513/256, 1861/48, -95429/256, -54617/256, -5/6, -18131/768, -77453/768, 
  -29059/768, -583079/768, 5131/384, -6457/64, 44155/192, 147223/768, 
  96527/256, -9639/256, 17051/48, 6209/96, -43357/192, -48673/192, 
  -61615/1536, 92591/1536, -169207/1536, 224893/1536, 18437/384, 100975/512, 
  35605/512, 94519/1536, -120655/768, 116867/1536, 24097/384, -14309/256, 
  -116227/1536, 315/256, 0, -17/48, 25/96, 6071/72, -155/48, -5/32, 
  14609/576, 11/192, 0, 85/64, -67/24, 5/16, -50719/288, 6795/128, -25/96, 
  117401/288, -263/512, -59/64, -5629/192, 20321/96, 41843/384, 43097/96, 
  181/24, 32177/384, 1297/48, -57865/192, -28173/128, 0, -41/48, 311/48, 
  -5/12, -351229/2304, -135649/768, -3/32, -40495/96, -69/512, 725/192, 
  -757/24, 12907/48, 3183/32, 561797/2304, 6307/192, 12159/128, -41101/192, 
  -91625/384, -18845/48, 1417/192, -66401/1536, 30101/512, -775/48, 31633/96, 
  10823/384, 3997/192, -110867/512, 50407/384, -75435/256, 3087/128, 
  -15439/1536, 6045/128, -43033/256, -18685/384, -1937/128, -74555/2304, 
  9/256, 1052507/6144, 111691/4608, 121/256, -1016515/6144, -4921/4608, 
  -8759/2304, -2963/512, -129/512, 62531/3072, 177/512, -22471/9216, 11/64, 
  11/192, 352745/27648, -47592079/36864, 1112165/13824, 546931/18432, 
  12517873/12288, 23495/1536, -416033/27648, 36675943/165888, 5941121/27648, 
  -329695/3456, 8221255/82944, 1484161/13824, 8205/128, 5435/4608, 
  -3340781/55296, -107262115/110592, -2800637/13824, -141595/2592, 
  -4165805/27648, 836437/3456, -1484953/13824, 3757711/9216, 1701211/18432, 
  12637757/55296, -147649/1024, -690271/18432, -5/12, -25/24, 5/12, 11/3, 
  5/8, -13/6, -415/192, 414541/13824, 37423/864, 127/384, 76541/3072, 
  -108565/3456, 1063391/18432, -384263/27648, 323255/18432, -424495/18432, 
  -76855/18432, 465/128, -138323/13824, 27079/2304, 3870055/18432, 
  215507/1152, 448537/4608, -5617241/27648, -4367045/18432, -163/96, 
  8707/864, -109/96, -3291023/18432, -418505/4608, -349/384, 17/12, 
  2548891/55296, 2769391/55296, 257113/18432, -239401/18432, 87/256, 997/768, 
  -52517513/221184, -5061205/73728, -209773/9216, 311461/9216, 359111/9216, 
  -337223/9216, -5/24, 31/12, 0, 35401/1152, 397253/6912, 127/384, 5/24, 
  764165/9216, -314963/6912, -1/8, -289007/3072, 0, 1/4, -75979/4608, 
  45875/2304, 0, -1472287/18432, 609397/3456, 5/96, 604733/9216, 0, -53/96, 
  -4525/6912, -281/192, -1209661/6144, -575959/18432, 11/96, 421/384, 0, 
  5/64, -5/64, 41/128, 33887/4608, -726947/6912, -1815361/1536, -19295/4608, 
  -176621/9216, 181745/4608, -4907557/55296, -130257655/55296, -30191/1728, 
  4034717/36864, -6668285/18432, 8923145/110592, 0, 1585/576, -111697/2304, 
  5/128, -10481/1152, 0, -911/384, 724807/9216, 5/384, 9845/1152, 55/1152, 
  -90857/3072, -43/288, 73/384, 0, 235/72, 17/36, 0, -199/24, 0, 0, 15/64, 
  -35/96, -1925/192, 107/72, -359/9216, 0, -235/72, 77/9, 0, 83/8, 0, 
  -1469/288, 1429/576, -23555/1024, 0, -803/72, -25/12, -47825/2304, 17/8, 
  10/3, 5/6, -5/12, 59/16, -3/4, 3215/1152, 20, 0, 203/576, 10787/288, -5/32, 
  -167/192, 869/72, 35/96, 1499/1152, -17483/4608, -33973/1152, -379/96, 
  -31903/4608, -291883/4608, 409/576, -48113/1536, -961/384, 169/64, 
  11431/1152, 35809/3072, 119795/3072, 121315/4608, -257/192, -8011/1024, 
  -3443/2304, -6233/2304, 38413/12288, 34285/12288, -989/768, -575/256, 
  463/192, 10055/576, 67/128, 38957/12288, -204749/12288, 13655/1536, 
  -6333/512, 5/4, 7/6, 0, -17/72, 3541/576, 0, -1/32, 0, 0, 785/576, 
  -6161/576, 5/64, 691/1152, 0, 0, -25/24, 7937/1152, -25/192, 481/1152, 0, 
  49/64, -721/384, -41/144, -239/192, 0, -25/192, 0, 0, 0, 0, -1729/576, 
  4871/384, 17/72, 41/288, -8963/192, -3541/576, 21/16, -21/16, -21/16, 7/16, 
  7/4, 7/8, 7/8, -7/4, 7/8, -27/8, 1/2, 10121/192, 9041/192, 1091/12, 
  -21619/64, -62827/192, 1/8, 7/4, -337675/384, -337003/384, 51821/64, 
  197251/384, 1, 100387/128, 84275/128, -7/8, -13/48, 17/24, 59/96, -2, 
  -59/96, 241/192, -7/8, -107/64, 0, 89/24, 1/16, -313/96, -23/32, -16573/16, 
  -676237/384, -66117/128, 23/8, 538877/384, 156851/64, 196639/384, -1115/64, 
  -157837/384, -61571/384, 9/4, -67/12, 19/12, 329/96, 920681/384, 
  2302469/768, 201391/384, -1563001/768, -1500403/768, 30501/256, -977/128, 
  -105/128, -25/16, -388999/192, -306119/256, 878189/768, 1723/192, 955/384, 
  254717/384, -1379/384, 427/48, 2065/96, 1435/96, -593/96, -387/32, -35/12, 
  -961/48, -3487/96, -1153/96, -521/32, -237/16, 941/96, 659/48, 151/96, 
  127/96, 5/6, -97/64, -973/192, -151/24, -393/64, 215/192, 293/192, 
  1019/192, -317/192, -5/12, 397/192, 0, -173/96, 25/24, 19/12, -5/48, 
  4115/12, 66545/384, 0, -229799/1152, 53/128, 89/192, 87/64, 61/48, 
  -21831/64, -35305/256, 57797/288, -689/384, 101/384, -8635/256, -55/64, 0, 
  -5/48, 0, 49/48, -233/16, -335/48, -64991/192, 27961/144, 171/64, 2611/192, 
  -158711/768, -1391/384, 0, 0, 311/32, 13/192, -64729/384, -283/64, 7/48, 
  677/192, -1031/144, -1, 1031/144, 5/4, 587/144, -1/4, -587/144, 7/8, 
  3107/144, 49/8, 1087/24, -10301/144, 61/12, 11/3, -941/12, -81/4, 7/2, 
  -7/2, 11/4, 21/2, -14, -7/24, -5/8, 275/48, -349/48, 7/12, -17/4, -101/16, 
  59/8, -7/8, 359/48, 7/8, 0, -5/24, 0, 0, 7/8, 41/3, -15/8, 49/8, -149/24, 
  -37/6, -163/24, 35/6, 8/3, -631/24, -39/2, 0, 0, 81/8, 31/16, -55/6, 7/12, 
  -61/6, 7/24, 7/8, 7/8, -207/32, -15/32, 95/64, -91/768, 43/512, 631/32, 
  -119/8, 93/32, 0, 1031/144, 1, 0, -1031/144, -11/6, -1/4, 0, -395/144, 
  -1/6, 0, -913/144, -19/24, 59/32, -1139/144, -1, 111/8, -1255/24, -99/4, 
  -21/4, 13627/288, -1119/64, -1049/192, 3/4, 95/24, 1309/24, -49/32, 
  695/192, -3575/192, -1031/144, -9/2, 7/2, 1031/144, -9/4, -21/2, 395/144, 
  181/12, -587/144, 3107/144, 89/12, 7/8, 1255/24, -91/24, -10697/144, 61/12, 
  -55/24, -1985/24, -1699/96, 1/4, 45/16, 49/12, 11/8, -14, 43/12, 37/16, 
  -157/16, -161/32, -129/16, 59/8, 35/16, 5/64, -5/16, 5/64, 0, 0, 0, 
  -569/48, -5/32, 15/8, -31/4, 15/8, 2045/192, 25/96, 0, 47/8, 31/4, 95/192, 
  25/64, -31/4, -5/12, 35/384, 3/8, 0, 0, 0, 0, 5/12, 0, 89/144, -299/96, 
  -89/96, 89/288, -25/2, 629/64, 23/96, 95/64, 1/12, 49/32, 553/384, 89/288, 
  -5/96, -37/144, -623/288, -445/288, 5641/576, 17/192, 9215/288, 241/192, 
  152699/2304, -193/288, 133/288, 89/48, 2149/192, 32059/576, -95857/768, 
  251/96, -187231/1152, -122653/576, 5/48, -61/4, 22553/256, 63023/256, 
  27559/192, -48523/384, 89/144, 415/384, -407/96, -89/288, 545/96, -827/96, 
  0, -1021/192, 0, 3527/384, 0, 23/96, 95/64, -29/48, -181/192, -10447/768, 
  -55/96, 89/288, 37/144, 0, -445/288, 9/8, -299/96, -89/288, 13543/576, 
  8957/192, 395/32, 12509/768, -533/64, 577/64, 19375/576, -49/32, 
  -37913/2304, 57/128, -13/36, -607/72, 89/96, 1541/192, -299/48, 9755/576, 
  -20015/768, -533/32, -1057/192, -145475/1152, -166751/2304, 839/96, 
  -1757/192, 58091/768, 70273/768, 8991/128, -48523/768, 0, 95/192, -45/16, 
  0, 3133/384, 2423/128, -7/3, 5/48, -13297/768, -10127/384, 0, 12347/768, 
  -53/128, 0, -1/4, -5/4, -89/192, -35807/1536, -131/96, 1087/64, 38351/1536, 
  -10121/768, 713/384, 11/32, 173/128, -701/384, -4031/1536, -173/128, 
  -173/128, 89/144, 5803/384, 10523/384, -3/2, -6629/1152, -238873/4608, 
  -1243/64, 8905/768, 70819/1536, -835/384, 761/576, -42151/1536, -3/2, 
  40159/4608, 76127/1536, -30397/1536, -991/288, -67/288, -89591/2304, 
  1201/576, -71065/1152, -50359/1536, 383/32, 370603/4608, -36041/1536, 
  -1565/48, 198275/1536, -40595/1152, -10231/1152, 177595/4608, -58083/512, 
  1439/96, 80845/768, 280823/4608, -17833/256, 49892129/579840, -1/6, 
  -98182169/72480, 18923/3020, -10441571/28992, -115903/18120, 15079/18120, 
  71/24, 4681/384, 51390049/579840, 1042211899/434880, -141329/12080, 
  73612291/144960, 228031/18120, -12230819/193280, -2491/72, -23/36, 
  -1740635899/1739520, -1774643/12080, 27157/1152, -8046609/193280, 
  -49892129/579840, -7567571/115968, 941166173/869760, 478149601/434880, 
  29313917/289920, 13210751/23040, 559014239/193280, 12810257/434880, 
  295780571/869760, -97/24, 136726627/1739520, -6027827/57984, 
  -455971/115968, 207305471/579840, -12811063/4832, -303273923/869760, 
  29264767/579840, -905913743/869760, -72635111/869760, -78710141/1739520, 
  8358811/115968, -420830867/347904, -282377221/173952, 7598599/173952, 
  -585539597/869760, 19/24, -33336403/193280, 11051829/48320, 
  204405631/434880, 10525331/96640, 676641/3020, 355404571/579840, 4316/453, 
  -2587901/12080, 5/12, 3269/768, -7/48, -945/256, 3/32, 6409/604, 5/12, 
  -7/4, -115/64, 785/192, 1/2, 353/512, 875/64, -4877/384, -3707/2304, 
  71/576, -29/12, 610541/36240, 179/96, -1/4, -18449/906, 39719353/579840, 
  177677977/869760, -73379/9060, 21801259/347904, 163028651/869760, 
  87019/9060, 87019/4530, 2117/768, 85/12, -160747/43488, 2945/192, 5/4, 
  18553003/434880, -50097923/289920, 294659/18120, -152540693/869760, 
  -347321/18120, -137/288, -8743/576, -41/12, -7169947/217440, 
  -1892953/144960, -511/288, 115/96, 7/48, 50520289/289920, -10282891/96640, 
  -2052629/3624, -351187/72480, -5324597/57984, -157251699/193280, 
  -2242685447/869760, -6895333/217440, -4419737/13590, -945/256, 
  -147163747/869760, -40928981/72480, -1896209623/869760, -22666533/48320, 
  3527274541/1739520, 2384128/6795, -76004221/869760, 22685651/10872, 
  362682311/869760, 69662221/869760, 1600339/96640, 2432441221/1739520, 
  606004651/434880, -17024843/869760, 588116477/869760, 51/32, 
  75485209/289920, 942647/14496, -218693179/434880, -2706643/9664, 
  -1598981/6040, -104234121/193280, 5222/453, 740159/3020, 5/4, 3/4, 
  17071/9060, 504841/36240, -13/96, -115/64, -109763/9060, 6614339/193280, 
  164314477/869760, 785/192, 493/3624, 5155/5436, 1/2, 115903/9060, 353/512, 
  -79/12, -508651/43488, 2833/96, -1/3, 9801667/144960, -48553193/289920, 
  18923/1510, 5049019/434880, -59839/4530, 423/32, -30965/1152, 563/96, 
  -7134929/434880, -1820473/144960, -9715/2304, -121/24, 121/576, -3/4, 
  -5841169/289920, -20919731/36240, 229259/6040, 112783/9060, 
  20520997/869760, -1900923/24160, -229541/18120, 35645557/173952, 
  -131145667/869760, -15098093/27180, -1977432523/869760, -36367363/217440, 
  -649638671/1739520, -38233297/579840, 2477/192, 21165633/9664, 
  2431861/7248, 47650951/869760, 1338697/289920, -628275247/1739520, 
  -391529797/434880, -346246349/1739520, -372618703/289920, 
  -117776039/869760, 305613907/289920, 49741417/21744, 136022731/579840, 
  -26114437/108720, 1272343513/1739520, 1655005351/1739520, 
  595676671/1739520, -3747607/36240, -156416923/579840, -5/8, -125/48, 55/48, 
  23/6, 0, 19/6, -1265/128, -5023/192, -1/48, -3703/384, -8681/384, 9/64, 
  805/384, 53/128, -49/96, -133/64, -969/64, -227/12, 83/64, 2017/384, 
  2687/64, -1693/384, 10973/384, -671/192, -665/192, 5431/384, 949/32, 
  1171/384, -71/384, 13/384, 249/64, -1555/128, -2569/384, 1/24, 17/24, 
  -290087/18120, -43/6, -17/24, 13123/9060, -10305269/193280, 
  57440137/869760, 293359/289920, 44467517/173952, -935/128, 6013/288, 73/64, 
  -23/24, -12385949/434880, -9144397/173952, -229006753/1739520, 5317/288, 
  25595/576, 313811/43488, -21731/576, 26279813/144960, 513013/36240, 
  -1847/48, -73418413/347904, -1164122711/869760, -121119179/869760, 
  235313489/217440, 18649/384, 198497899/1739520, -9231869/289920, 
  1573363327/1739520, 503453509/434880, 594861271/1739520, -2099743/144960, 
  -156658523/579840, -23029/72, -566867/1728, 985751/1728, 2162753/1152, 
  -3852937/576, 70315711/4608, 38143121/4608, 10591061/1152, 46333229/2304, 
  -2316475/1728, -849261/64, -2468831/1728, -1149239/576, 56255465/27648, 
  100111027/13824, 132113/256, -3412501/1152, 78698981/6912, 3199147/384, 
  10526767/13824, 22109203/1728, -7846535/864, 1199743/576, -15621781/3456, 
  -4360681/1152, 230749/48, -916841/1728, 7076477/13824, 96921331/6912, 
  16948021/1536, -162949817/13824, 21695317/3456, 673/48, -53587913/27648, 
  -85720235/4608, 19/3, -3, -9/4, 852065/1728, 32171573/3456, 11437/96, 
  9779/64, 821539/108, -32928707/3456, -236821/576, -3570169/432, 
  -940307/1728, 193/8, -23956115/1728, -50949467/6912, -7167751/192, 
  -320955349/6912, -151308593/13824, -61079585/13824, 20893253/3456, 
  -1645/24, -49899163/3456, 35346667/3456, 113624719/6912, 819891175/13824, 
  34083083/6912, -703/16, -7606463/2304, -20792855/768, 5161/24, 860399/1728, 
  44161807/27648, -43132883/6912, 35937361/4608, 100513661/6912, 2406001/216, 
  11442451/384, 7013285/256, -575797/288, 20393557/1152, -2866529/96, 
  248168663/4608, -106377793/1536, -239132801/6912, -195749/192, 
  791045569/27648, 224321921/4608, -977/96, 22813/72, -1145567/1728, 
  -4553/128, -12163/72, -36209/72, -33685991/6912, 6281/128, -83617/288, 
  -30889307/6912, 33884099/6912, 38005/288, 38903575/6912, 139/128, 24757/72, 
  36606815/6912, 6195335/1152, 23895317/3456, 40702427/6912, 20893207/2304, 
  119513665/4608, 116603297/13824, 38000861/1728, -39082945/6912, 10217/18, 
  1849835/216, 137087135/6912, 9128977/768, 101113505/13824, -186011797/6912, 
  -9242893/1152, -77034319/2304, -14378737/432, 2657111/384, 1806479/864, 
  309373147/27648, 347/96, 2183095/576, 1134255689/27648, -206016119/27648, 
  86651717/13824, -396652625/13824, -2150611/1152, -31274303/6912, 
  -524535551/13824, -21752555/288, -272525543/4608, -3206456879/27648, 
  378459977/27648, -20807195/6912, 7731871/6912, 882898511/13824, 
  133562305/3456, -1140607/576, -81718525/4608, -1039/96, -289472327/9216, 
  -70227307/27648, -38384545/9216, 339311459/13824, 3700854433/27648, 
  355053673/6912, -101614673/2304, 134692523/27648, 351/32, 54561217/9216, 
  -63947297/1024, -2443/96, 3, -581459/1728, -2472055/1728, 3025/384, 3/2, 
  -852065/1728, -275483/216, -47852429/6912, -50645/384, -29357/192, 
  -47176757/6912, 19840523/2304, 236821/576, 62787881/6912, 1882045/3456, 
  -3107/9, 58885135/6912, 880853/48, 23833441/1152, 54431179/6912, 
  5138951/144, 609290965/13824, 172036285/13824, 32734489/3456, 
  -47436401/6912, -20341/36, -1962107/96, -29906371/768, -209746631/6912, 
  -120383963/1728, -125423731/13824, -179657/144, 10752235/576, 34362799/864, 
  832957/128, 583367/1728, 3529351/864, -300609043/27648, 347/96, 
  1313897/864, -68121979/27648, 207747455/27648, -6214825/6912, 
  -39194791/6912, -20352173/9216, -64199899/6912, -183955049/13824, 
  -170936107/6912, -16650703/864, -1510552655/27648, -462434255/27648, 
  91769983/6912, 252323039/6912, 45751177/6912, -120951329/3456, 
  -4672111/1728, -3885565/432, -1207/96, -544038095/27648, 601829449/27648, 
  261400501/9216, -10881887/13824, 1725145787/27648, 265160479/3456, 
  229399/1728, 548955947/27648, -313/96, -23111311/864, -1543186151/27648, 
  69/8, 805967/1728, 1353851/1728, -1721/64, 0, 1457039/1728, -24616433/6912, 
  1901/64, 0, -13925699/6912, 6409799/2304, 0, 4883647/6912, 11/32, 
  -16563737/2304, -9998345/768, 903311/1728, 8034951/512, 3280803/256, 
  279323/216, -147179897/13824, -5061199/6912, 28461547/1152, -16426745/2304, 
  -86674577/2304, 105778895/13824, 28324603/1152, -3443/16, -835289/864, 
  -1236649/432, 298840099/27648, -1, -2105135/1728, 219637219/27648, 
  -205662287/27648, 5528627/2304, 9621997/6912, 1094201/1728, 45197023/3456, 
  8393647/1728, 17665/192, -9827417/1152, 792724301/27648, 11614709/3072, 
  -11789851/576, 9537065/256, 3038907/512, -28429507/1152, 7028267/1728, 
  7857445/1152, 187/48, -57683953/27648, -179751083/9216, 12152155/9216, 
  -622676507/13824, -302405875/9216, -7695961/6912, -23874547/1728, 
  -458517403/27648, 31/12, -51183233/27648, -56135053/27648, 63/32, 15/4, 
  -4993/64, 2481/128, 32135/1536, -1/4, 171959/384, -111553/384, 23299/96, 
  -36849/64, -299971/768, 55915/384, 833/128, -1681/16, -101057/384, 
  -2423/24, 1533/256, 1265/768, 315/128, 203/96, 6731/96, -74/3, -235/4, 
  479/96, -18397/192, 20899/192, -221/48, -1623/64, -68345/384, 6325/192, 
  -6899/1536, 33625/128, 37739/1536, -13/8, -843/128, -52265/384, 2663/32, 
  -19567/128, 18199/384, -41309/384, 126527/384, 243745/384, -124975/512, 
  -1905/16, 39743/96, 193295/384, 239849/384, 45531/128, -83659/192, 
  85513/256, -123575/384, -111225/256, -54617/256, -1/12, -12451/192, 
  7009/192, 283/4, -62155/768, -115387/256, -60991/384, -142757/768, 
  -628489/768, 31747/192, -18851/192, 33631/64, 99653/192, 68999/192, 
  825871/768, -12091/768, 26959/96, -19771/96, -146081/768, -35051/192, 
  -145721/1536, 44101/1536, 38725/256, 53857/1536, 892645/1536, -30389/384, 
  21073/96, 249401/1536, 170591/1536, -191447/1536, 12101/768, 8559/128, 
  10229/128, -11461/768, 5/6, 0, -2857/48, 5/16, -119/48, -1/24, 10375/48, 
  4163/1536, -27/32, -4259/1536, -13/64, 2613/32, -10673/128, -24703/96, 
  24617/384, 33559/72, 24909/512, -29171/384, 198947/384, 185969/384, 
  169375/192, -39849/64, 14585/48, -116951/384, -244037/384, -40625/192, 
  15/8, -497/32, 6331/96, 115/4, -15/8, -3821/96, -56401/192, -1631/96, 
  2159/96, -2647/24, 11137/128, -27239/192, 10561/384, -12607/512, 8477/384, 
  34667/384, -16333/192, 7/2, 26771/192, 31985/192, 16471/128, -34363/192, 
  17457/64, -45307/128, -10543/48, 1931/16, -22439/96, -41107/192, 6169/32, 
  -237035/768, -15/8, 7775/192, -401/192, -2513/96, 1053/16, 149691/256, 
  84857/768, 62237/384, 31129/192, -26077/192, 15/8, -26235/64, -28445/192, 
  -126085/768, -32127/64, -6521/128, 6587/96, 1109/6, -172475/768, -6587/96, 
  11687/256, -77655/512, -40805/512, -26359/192, -25151/96, 68959/384, 
  23053/1536, -9245/768, -36977/192, -93175/1536, 34951/384, -8249/256, 
  -36727/192, -34951/384, 305/384, 697/24, 0, -173/6, -5/48, -31123/144, 0, 
  -209/96, -73/256, -17441/192, 497/192, 126407/384, 1265/128, -75841/576, 
  -373/12, -19205/96, 887/384, -248483/384, 25763/384, 9727/48, 1031/384, 
  -29/16, 211/8, -3523/96, -89483/768, -1607/16, -21685/64, 54029/1536, 
  -4353/64, 14099/32, 10233/64, 1154879/2304, 9185/96, 74545/192, -10195/96, 
  -68591/384, -132919/768, -3409/192, 155503/1536, -70253/384, 75809/192, 
  4469/128, 242315/768, -72473/1536, 26725/384, -223993/768, 121651/768, 
  -67733/1536, 3595/192, -132227/512, -6469/128, 0, -49/96, -1645/96, -65/48, 
  -17/48, 5/16, 117589/1152, 60457/576, -19/8, -1/8, -227789/576, 75305/576, 
  5365/1536, 112063/384, -5333/1536, -29/64, -7817/384, 761/32, -67/24, 
  -40187/384, -28903/288, 4861/96, 889/128, 59831/72, -4883/768, -30883/384, 
  -2803/192, 43067/96, 14593/24, 320213/384, -2863/16, 10159/24, 1579/24, 
  -87369/128, -110963/256, -235/48, 551/192, -3043/96, 169/24, -581/16, 
  -121529/2304, -31323/128, -24151/384, -922933/768, 63353/1536, -9401/192, 
  -13159/384, 97069/192, 176515/768, 662875/1152, 82325/768, 31465/64, 
  -35225/192, -159701/384, -506239/768, -899/64, -26057/1536, 36365/256, 
  -30943/384, 718673/1536, 4953/128, 411877/1536, -137701/768, 328639/1536, 
  -8765/16, 17857/256, 22551/512, 1911/64, -476681/1536, -19247/384, 0, 
  -349/192, -65335/6912, -2749/128, 0, -59/384, -32707/2304, -1/24, 361/384, 
  2435771/13824, -26268757/18432, -37878133/27648, -102481693/55296, 5/96, 
  475395/2048, 0, 0, 0, -5927/576, -222349/3456, 94601/2304, 6287/192, 
  -628765/18432, 2775553/27648, -94085/2304, -1289933/3072, -1378621/6144, 
  435031/27648, 112901/288, 384347/1536, 76855/9216, 0, -161/768, 24403/1728, 
  -2749/128, -67727/2304, -9140033/55296, -374675/13824, 2840507/18432, 
  4838213/55296, -304463/3072, 0, -805/384, -32707/2304, -5767/384, 
  -43439/2304, -716605/18432, 1/12, 361/384, 175/128, -7941553/55296, 
  36280801/24576, -406778915/221184, -1328483/55296, 5580035/3072, 
  -694567565/165888, 33172621/18432, -484457353/165888, 347831719/331776, 
  -16113539/13824, 6855763/36864, 18155/32, 26481607/55296, 76964431/55296, 
  -39870577/13824, -1152598471/331776, -2054545/36864, 4438979/18432, 
  23505563/27648, 2163799/55296, 0, -8741/576, -77021/864, -4363/2304, 0, 
  -1421623/18432, 3393149/27648, 4879/2304, 17/96, -556025/6144, 
  548459/27648, -5/96, 1936993/9216, 0, -15/256, -49315/3456, -2749/128, 
  -28805/576, -11323601/55296, 17809/13824, 3049721/18432, 7001117/55296, 
  -564497/4608, -1/12, -83/384, -32707/2304, -5125/384, -47771/2304, 
  -733213/18432, 1/12, 361/384, 175/128, 21191/2304, -3313727/27648, 
  10640977/27648, -10316689/55296, -1094449/6144, -78063049/27648, 
  118268155/73728, 8546077/18432, 159845825/221184, 1035173/18432, 
  -704897/3456, -74534381/27648, 16478449/9216, 80093233/165888, 
  -439096319/165888, 850049/12288, -198483437/82944, -484145449/165888, 
  768434995/331776, -16113539/13824, -28069/3456, -232352867/110592, 
  35384869/110592, -182277127/110592, -154067657/110592, -16438675/110592, 
  -309724595/82944, -1155203/55296, 15163367/6144, -1572902803/331776, 
  337752505/110592, -5107601/27648, 61490615/110592, -33767825/12288, 
  15463501/55296, 710971/27648, 65865191/221184, -436847/18432, 
  89490511/221184, 10033/256, 5397101/27648, 90405/2048, 3042527/18432, 0, 
  -180020507/110592, -62668261/36864, -41441963/12288, 14345765/110592, 
  -2695163/2048, 0, -7784017/36864, 13033307/4608, -12053207/82944, 
  -12056663/82944, 115/48, 623/144, 710971/27648, 0, -15407/9216, 
  639667/9216, 1545439/24576, 5/48, -168117641/221184, 18729/1024, 0, 
  191825873/221184, -135/128, 0, -7/8, 3042527/18432, -89/192, 743003/13824, 
  -5770913/110592, -156629/6144, -13985129/9216, -159063989/221184, -1/12, 
  -2695163/2048, 697/384, -12441419/36864, 194542081/110592, -12053207/82944, 
  -9131/72, 0, -20783/9216, 1252775/18432, 1947893/13824, -410657/9216, 
  187020431/110592, 75013789/36864, 74683355/73728, 12306353/36864, 
  -4782479/55296, -2527/1152, 690299/13824, -94359349/55296, 
  -182261761/55296, -288157985/110592, 39658729/24576, -697/384, 
  -13189327/165888, 77075785/27648, -1537751/82944, 367237/18432, 
  -67950019/73728, 22885621/221184, -218045509/110592, -12407977/9216, 
  -12655567/221184, 179338061/110592, 8272711/13824, 53638175/221184, 
  -190034333/110592, 220248665/221184, -26188151/221184, 34972097/221184, 
  -222811217/221184, 3405203/110592, 0, 11/48, 344669/4608, 640249/6912, 
  127/192, 0, 1356983/18432, 8677/108, -475705/6912, 31/96, -339041/2048, 
  -1314203/13824, -1/32, 819065/9216, 0, 0, 269/64, -108949/6912, 4053/128, 
  -227/192, 736225/4608, 661817/1728, 903655/18432, -1966867/13824, 
  -153619/1152, 1/6, -419/128, 65131/6912, -1675/384, -3403483/9216, 
  -733337/6144, -305/384, 997/384, 53989/4608, 2953405/55296, -87783/512, 
  3736459/55296, -68309/2304, 147875641/221184, -1086533/55296, -136445/1152, 
  -11287129/27648, 151091/9216, 53513/432, 79044493/55296, -27455/18432, 
  13757957/165888, -41411713/55296, 14422109/24576, 101363075/82944, 
  -3121/768, -33645349/55296, -605163/512, -2558321/27648, 248928491/221184, 
  -23316503/73728, 199838489/221184, -16116053/221184, 8970035/110592, 
  266142925/165888, 34590439/55296, -263034965/110592, -16115071/9216, 
  -306104065/221184, 51871553/221184, 11477719/73728, 297898009/221184, 
  -8850241/110592, 0, -55/384, 0, 827/1152, 7/16, -551/384, 0, -55/128, 
  35/96, 409/576, 22799/1152, 4535/384, 0, 147/32, -70711/1152, -14821/576, 
  5/96, -8941/576, 377/12, -25/96, 1781/192, 1/6, 0, -1007/192, 603581/4608, 
  5017/36, -25/192, 29923/1152, -113041/4608, 19/48, -2611/384, -1/6, 49/64, 
  -280549/4608, -88035/512, -569/144, -757/4608, -223/384, -185/96, 
  84089/1536, -2845/256, 239/192, -25/192, 101/18, -184157/4608, -18659/1152, 
  5/24, 1217/384, 392243/4608, -367/768, 49541/2304, -5/768, -1057/64, 
  -2389/72, -6271/288, 4663/768, 340877/4608, 4477/192, -251983/4608, 
  -7045/288, 7403/576, -1/3, 0, 41/36, -3541/288, 0, 35/48, 0, 0, -449/64, 
  141893/1152, -5/16, 10315/384, 0, 0, 1367/192, -776035/4608, 25/96, 
  -31753/1152, 0, -49/32, 27783/512, 97/144, 239/96, 0, -113/18, -17/18, 0, 
  271/12, 0, 0, 563/144, 1007/768, 5/64, -2905/576, 1/6, 5933/576, 
  27103/9216, -845/192, 3293/2304, 0, 9/2, -823/36, 0, -1183/36, 0, 257/36, 
  37/36, -3643/144, 461467/9216, 23/36, 1217/36, 1375/144, 93043/768, 
  661/288, -2587/288, -25/384, 30191/768, 0, 589/8, 113/512, 8147/288, 
  -383/512, 25/384, -1604699/12288, -311/1152, -616713/4096, -106057/4608, 
  281567/18432, 0, 399821/4608, 1326101/18432, -19429/4608, 2987/4608, 
  25/384, 7129/576, 43231/9216, -2587/288, 5/48, -25843/2304, -152171/9216, 
  -179/1536, 4783/384, -117/512, -89/192, -11159/576, -7/8, 0, 295/128, 
  215689/12288, 0, -523/256, 0, 697/384, 310943/18432, -107101/18432, 
  -115/48, -9023/4608, -25/384, -863/36, 1849/9216, 1633/576, -5/48, 
  12929/1152, 16733/2304, 1019/1536, -28177/2304, 95/1536, 89/192, 5791/144, 
  295801/12288, -469/72, -58217/4608, 7613/256, -697/384, -302219/9216, 
  -343955/18432, 9023/4608, 6679/576, -26149/3072, 2781/512, -195/256, 
  -283873/9216, -14429/768, -13925/576, -700915/18432, 1711885/36864, 
  278135/18432, 33367/9216, -23417/2304, -109765/1152, 400763/36864, 
  16711/1536, 0, -383/288, -8995/1152, 15061/576, 25/96, -1891/144, 5155/144, 
  131/96, 7099/1152, 19/48, 0, 99/64, -11903/4608, -46295/1152, 25/192, 
  -389/1152, -96725/1536, -101/96, -16339/1152, -19/48, -49/64, 1043/384, 
  269/16, 4511/576, 345761/9216, 341/48, 59/32, -1235/384, -65891/9216, 
  -239/192, -25/384, 737/576, 69997/9216, 1781/1152, 25/192, 15139/2304, 
  -2885/1024, -123/512, -24307/2304, 391/1536, -241/192, -115391/18432, 
  -6757/1152, 10411/1152, 640729/36864, 89/36, 269/96, 3043/768, 
  -162175/18432, -13333/4608, 65/96, -10157/1152, -745/192, -15671/1152, 
  142921/3072, 49487/2304, -62645/18432, 620171/36864, 143219/36864, 
  1367/6144, 48075/1024, 91949/4608, 13823/384, -1981235/36864, 7577/1536, 
  43/16, -1/3, -9941/384, -68017/384, 1/12, -1/3, -4237/32, 67183/192, 
  -133/48, 247333/384, -66349/384, -46637/96, -25/48, -281/48, 1/2, 
  377951/768, 23043/128, 67/48, -167669/192, -22423/128, 15427/256, -13/24, 
  7/4, -159957/128, -5/16, 518909/384, 1, 602137/768, 101/96, 95947/192, 
  95291/192, -183367/384, -32167/64, -8527/384, -7/32, -235/96, -17/24, 
  -379391/384, -96517/192, 91115/192, 5/32, 35/24, 188789/384, 1/16, 
  -311/192, 203/192, 37/16, 235/64, 251/96, -197/96, 7/8, 7/8, -7/8, 23/16, 
  -1/4, 2/3, 5/3, 3/2, 1/4, 1/4, 5/4, 1/4, -1/4, -2/3, -35/12, -1/4, 73/2, 
  1/8, -3/4, -23/12, -37/12, -37/12, -127/12, -25/6, -53/12, -7/4, -7/4, 
  101/48, 15/8, -1603/96, 6137/96, -4561/96, -37581/128, 0, -4241/36, 0, 
  5/12, 8/3, 1, -15/8, 15227/384, 14233/384, 1507/32, 89209/192, 2113/18, 
  9/4, -1/4, -8815/384, -58173/128, -65675/384, -2/3, 22623/64, 0, 101/96, 
  -41/96, -65/48, -23/32, 5/48, -135329/192, -66161/128, 2, 0, 1048051/1152, 
  197615/384, -389/384, 110177/1152, 197/384, 91/48, -301/48, 265/192, 
  481/96, 132275/96, 2008247/768, 16789/24, -748663/576, -4090705/2304, 
  -54295/576, -667/96, 883/192, -7/24, -53249/32, -341531/256, 1460669/1152, 
  10243/1152, 11/4, 40361/64, -1709/384, -13/48, 101/6, 493/48, 17/96, 
  67043/96, 64501/96, 95923/192, -128333/576, 23621/128, -94247/192, -823/64, 
  -10105/192, -1021/64, -687581/768, -5479/8, 1319519/2304, 7085/384, 
  11509/384, 413249/768, -1643/1152, -1271/96, -1049/192, 59/24, -69505/384, 
  -99553/192, -1479/64, 3167/192, -1285/192, 5849/32, 313/64, -853/192, 
  -323/48, 343/96, 51/4, 25/8, 0, 0, 0, -5/48, 7/48, 0, 35/96, -9/16, 
  459/128, -1/3, -15/32, 265/192, -1817/256, 255/512, -65/256, -277/768, 
  -451/384, 5/8, 0, 1573/1536, -2479/1536, 1397/96, 2047/1536, 5323/4608, 
  101/144, 65/256, -89/24, 19/4, -10057/4608, -139/128, -1267/1536, 
  4169/4608, 2455/2304, 2455/4608, 0, -5/32, 509/192, -5005/384, -5/8, 
  287/512, 2407/512, -889/384, 8, 65/256, -253/768, -2561/768, 1307/384, 
  -1363/512, -3469/384, 18881/1536, -1657/1536, -203/1536, 289/72, 7925/4608, 
  -10741/2304, 391/288, 679/4608, -19/1536, -2455/4608, -5/24, -203/64, 
  3629/384, -89/48, -7747/1536, 8739/512, -851/128, 185/384, 25171/2304, 
  403/288, 14107/4608, -59345/2304, -211/288, -7243/768, 13/256, 529/1152, 
  89/96, 431/384, 55/16, -50407/4608, 331/96, -4361/1152, -4759/1152, 
  53767/4608, 3293/1152, -7/48, 1/8, 7/48, 35/72, -159/32, 179/96, 69/16, 
  15/16, -115/24, -115/32, -221/96, 1031/384, 183/32, -1105/768, -13/9, 
  571/768, -869/72, -2801/192, -901/64, -433/96, 1465/128, 2425/192, 
  -1229/192, 8747/384, 23579/192, -80861/768, -82639/1536, 4459/288, 1181/64, 
  2255/192, 20329/768, 6115/768, -241661/768, -212975/4608, 22799/128, 
  -121/18, 1043/576, -53491/384, -3667/768, 126479/768, 257/288, 14273/384, 
  69/16, -179/96, -12577/1152, 125/16, 6707/384, 69/32, -807/128, -4657/768, 
  -18041/512, -11159/1536, -520709/9216, 401/288, 69/32, -1639/96, 69/64, 
  1499/384, 2745/64, 69/64, 211/24, 69/128, -115/32, 69/128, 0, 295/576, 
  185/32, -45/64, -433/96, -85/96, -1243/384, 375/128, -917/192, 23/12, 
  1177/2304, -349/192, -375/256, -1675/576, 3797/512, 65/128, 9881/1152, 
  5863/384, 2255/192, -7567/768, 2101/384, 3109/768, 357/256, -157711/4608, 
  -10313/192, -1163/768, -227/96, 1043/576, -1691/192, -2129/2304, 18977/192, 
  2143/2304, 257/288, 22781/576, 0, 5/48, 0, -5/48, -35/288, 159/128, 
  -683/384, 239/96, -2245/384, 613/128, -31/8, 3205/1152, 7823/768, 989/384, 
  313/96, 893/768, -1699/256, -14353/1536, -33115/4608, -1387/144, 
  -29845/4608, 378167/9216, 8/9, 0, 0, 0, -1577/384, -41/192, -6251/384, 
  -201/32, -105/64, 881/128, -271/96, 24017/576, -7/48, 1103/384, 141/128, 
  5/24, -397/72, 1/2, -5/64, 5/64, 1345/96, 85/6, 0, 0, -365/192, -335/192, 
  0, -3/2, -5/96, 95/192, -595/48, -26, 5/64, 0, 55/24, 305/96, 0, 0, 0, 
  5/12, -115/192, -275/192, 559/48, 239/12, 0, 175/192, 0, -55/32, -105/32, 
  0, 0, 175/192, 9/4, 145/64, -417/64, -151/12, 5/64, 515/192, -5/4, 21/4, 
  -5/6, -3/4, -25/128, -75/16, 25601/384, 0, 1121/192, -85/4, 0, -15/16, 
  -56411/192, 295/128, -123, 0, 0, 50255/768, 95597/288, -644437/2304, 
  -485/12, 39565/1536, 190205/4608, 29349/32, 69683/1536, -8555/16, -25/192, 
  -3/8, 0, -1147/192, 659/32, -5/8, -50335/768, -24619/4608, -18799/768, 
  -95567/288, -42881/4608, 645163/2304, 0, -359/384, 1227/1024, 95/48, 0, 
  215143/1536, -1435/1024, 0, 96131/1152, -85/12, -8177/192, -25/32, 
  -222717/1024, 175/384, 431/384, -125/384, -3/8, 0, -50255/768, -95597/288, 
  644437/2304, 0, -125/384, -3/8, 2165/48, -142033/1536, -290261/4608, 0, 
  -29319/32, 383297/1536, 10523/16, -37/16, -115/192, 1825/192, 305/192, 
  3068869/13590, 1/16, -7089449/434880, 3311/512, 11507/512, 1287/128, 
  2077/192, -83/256, -1481/48, -1501/1536, -347161687/869760, -49909/512, 
  -416837/2304, 49/16, -8219/384, -1245/64, -520583/2304, 139651/768, 
  958035761/1739520, 1207/6, 37315/2304, 610885/4608, 105949/256, 
  -580319/1536, -2039/576, -848057/4608, 13/48, 293/32, 64400741/1739520, 
  -3183/256, -8170529/72480, -118303/4608, 404005193/869760, 46567397/347904, 
  9761/96, -73945313/289920, -191539/1152, -98341511/86976, 
  -382971611/1739520, 15653/768, 8819987/86976, 1314023513/869760, 
  -53125/2304, -2699/192, -44157755/695808, -18571563/386560, 
  -277527611/579840, 19/4, 259640009/1159680, -3/4, 0, -7/3, 63841/36240, 
  -743/384, 2, 0, 139/64, -21847/24160, 3614405/115968, 71/24, 25/96, 
  -1931329/144960, 99924347/1739520, 187290991/869760, -5/48, -757097/289920, 
  1616707/144960, 1579/256, 11201/512, 2651/128, -65/256, 9803/768, 99/16, 
  -1645/192, -65/128, 1073/768, -4583419/217440, 685/32, 27/512, 
  8217001/579840, -177794599/869760, 5777/1536, -4999/768, -3319/256, 
  1267/1536, -46475/4608, 939/128, 731/384, -11573/1152, -10945/256, 
  -683/384, -16337/2304, -551/192, -2455/4608, -2137/2304, -8711/4608, 
  21727/2304, 4867/1536, -37/576, 2455/4608, 0, 52622209/579840, 
  -13780457/144960, 3473633/289920, -281/24, 19/1536, -26021071/289920, 
  -577346143/869760, -385619699/289920, 1105/512, -718249/11520, 
  -5563489/12080, -2127/256, -4875371/193280, -9993/256, 65/256, -6367/256, 
  -5050939/579840, 7097/192, -102971113/1159680, -628008881/1739520, 
  256172171/1739520, -1580159/144960, 103547833/869760, 21041/1536, 
  -1657/1536, -138106627/3479040, -13123/288, 34435/4608, 1983030827/1739520, 
  8182053/48320, 391/288, 3425/512, 128050027/3479040, -3127/4608, 
  -51269249/579840, 36778167/193280, 89191037/86976, 98773673/86976, 
  -1652341/386560, 197240603/1159680, 3265460297/1739520, -3937/1536, 
  198565361/869760, 8725/256, 158438917/1739520, -213074839/1739520, 
  -18520951/579840, 27213973/231936, -141137711/1739520, 471/256, 
  62939701/1739520, -628018189/579840, -59627405/173952, -59453111/1739520, 
  -17315243/193280, -1632721201/1739520, -1315853633/869760, 92407/4608, 
  -209038055/347904, -4127/192, -151133537/1739520, 3055921/289920, 
  -5655/512, 72054053/434880, -3/16, 277962491/579840, 59/8, -41/48, -9/8, 
  -35/64, -125/24, 329/64, 323/24, 367/64, 115/192, -783997/2304, 
  -1976933/2304, -5831/16, -113/32, -85/64, 416867/2304, 202723/576, -749/64, 
  -1/6, 13699/1152, 1349/72, -153/512, 373/256, 343/96, -1567/192, -977/32, 
  -5371/96, -8413/384, -47/256, 723329/2304, 53035/384, 3967/192, 31/256, 
  -1046135/4608, -218351/2304, 77425/768, 386453/2304, -13247/768, 1701/64, 
  3359/64, 7953/256, 8201/384, 129739/2304, -53315/1152, -69673/384, 
  -602101/2304, -144923/768, -3727/192, -4751/256, -17211/128, -17531/128, 
  96177/256, 7/2, 100975/576, 0, 415249/96640, -2003/96, -49/1536, 
  -494340979/869760, -128381853/96640, 769/512, -46744319/289920, 
  -9862353/24160, -2453/192, -180769/2304, -4663/384, 551/768, 3863/64, 
  13374691/289920, 779588411/434880, -3430021/289920, 80836241/193280, 
  60403/1152, -1719/512, -257267/2304, 19207/4608, -172005837/193280, 
  -85683661/434880, 1303/288, -232729/4608, 19980337/86976, 253057/1536, 
  49940449/1159680, 1101195953/869760, 12319699/5436, -23562571/1159680, 
  957377831/3479040, 3263856677/1739520, 5971/1536, 3874979/9060, 157/384, 
  -149039167/3479040, -992084149/579840, 67151/9664, -637449503/1159680, 
  -3414979/43488, -71836621/3479040, 1916770991/3479040, 46067303/347904, 
  63353441/3479040, 51770569/1159680, -94208777/86976, -1314938573/434880, 
  71935/4608, -101892005/173952, -1/48, 147541247/3479040, 146057633/579840, 
  20302891/347904, -146470501/1739520, 55980449/1159680, 277745051/289920, 
  -86554723/386560, 3/8, 0, -685/192, -119/64, 1169/192, 367/64, 145/192, 
  -1556261/2304, -143459/384, -41/24, -135/64, 201715/576, -1093/96, 
  -899/768, 5521/576, 1521/256, 0, -149/128, -2161/192, -14185/384, 
  -8413/384, -55/64, 392119/1152, 49855/384, 2009/192, 385/192, -61853/384, 
  -200075/2304, 463/256, 390011/2304, 649/768, -41/128, 12161/768, 
  92777/2304, 7953/256, 461/192, 31171/384, -49577/1152, -1795/256, 
  -641083/2304, -46555/256, 347/768, -8161/384, -4751/256, -7245/128, 
  -50417/384, 97055/256, -175/2304, 7/2, 408355/2304, 0, 805/192, 
  -29699/24160, 1710451/144960, -4343/192, -5/32, 1564007/2304, 
  44085919/108720, -393011149/289920, 0, -285408373/869760, 
  -128147381/289920, 305/768, -100519/2304, 69/128, -2855/768, -353/256, 
  7707/128, -293769979/869760, -308707297/869760, 1606250317/869760, 
  -49916573/434880, 662962063/869760, 87833/2304, -23709/256, 33835/1536, 
  -43147/384, 13089547/115968, -1149800603/1739520, -387763943/1159680, 
  211111/1536, -232013/4608, 8494069/86976, 256391/1536, -185/48, 
  11644873/115968, 38030491/289920, 24657065/10872, 17/48, -701623/38656, 
  3361156547/1739520, -103/32, 30210701/96640, 9/256, 14411871/12080, 
  -1015350229/579840, 207368029/773120, -180870651/77312, -26744089/96640, 
  2147654521/3479040, 227190367/3479040, 90590821/3479040, 
  -161043667/1159680, 5365703/144960, -1315744913/434880, 1530301/144960, 
  -51298663/86976, -491/128, -6338152417/6958080, 3421273813/1739520, 
  2005480063/3479040, -1053469/23040, -157824347/1159680, 277763171/289920, 
  167/64, -1690833173/3479040, 1/2, 1979507/1728, -22381/144, -344201/864, 
  -241867/768, 6285/32, 4502549/2304, 0, -17360023/3456, -8265/16, 
  -747211/768, -69890855/9216, 457067465/27648, 1/12, 112895965/6912, 
  -40789/48, -53061361/4608, 1252084831/27648, -1/6, -24040211/13824, 
  6276653/2304, 156965459/6912, 6710363/768, 1513491/128, -3, 20117093/13824, 
  579677/1728, -46498441/13824, -2555563/1152, 19091791/3456, 
  -121220795/6912, 19751761/2304, -2080499/192, -278147669/13824, 
  165598997/13824, 27, -17669107/1024, -48620035/6912, 14020843/6912, 
  31059733/3456, -43335739/1536, -533756257/6912, -17349809/216, 
  2583466667/27648, -96, 457267763/27648, 12346165/6912, -257158331/13824, 
  -59945891/2304, 1035442739/27648, 229519265/1152, 1939/48, 
  -507487703/13824, -27291817/2304, -10448357/432, 828388465/13824, 11407/48, 
  97611649/3456, 102909725/2304, -4921/24, -22909/144, 90655/288, 
  -2502881/3456, 3886699/3456, 20117093/13824, -3509311/3456, 5983087/3456, 
  -23326763/6912, -41076629/6912, -31234939/3456, 14659039/1536, 
  49908247/3456, -44964193/4608, -184321151/13824, 11680979/6912, 3, 
  18719/54, 710813/216, -2965285/1536, -17669107/1024, -848321/1728, 
  19771663/4608, 1973057/72, 205930885/9216, 153571/216, -378987655/6912, 
  -84995437/1024, 63668249/6912, 860613055/27648, 142147399/13824, -203/8, 
  -51923083/3456, -16034431/864, 457267763/27648, 16184021/2304, -361613/54, 
  -512312659/27648, 53888323/13824, 893711693/6912, 201356815/4608, 609/8, 
  49855069/2304, -507487703/13824, -17381491/1728, -42473747/1536, 
  2400505/432, 1385/48, 97611649/3456, 66480679/1728, -4921/24, 22789/144, 
  5975555/3456, 332287637/27648, 1146276655/27648, -338751073/3456, 
  -1187135/3456, -120853063/4608, 437729897/2304, -488284181/1152, 
  97031995/6912, 610716083/6912, -23310143/48, -55805351/6912, 
  -1010963201/4608, -579776509/6912, -43955/144, 37003621/1536, 
  -1263904579/13824, 1708285541/9216, -9035345/3456, -431221535/2304, 
  16181528681/27648, -85607311/1536, 10641032459/27648, 118114211/768, 
  2474909/3456, 167427781/4608, -3325122335/27648, 108310483/3456, 
  -76689539/256, -3931077365/27648, -3862183/3456, 329774929/13824, 
  159088475/4608, -20116373/6912, 0, 25/96, -35/96, 10673/768, -11215/768, 
  263/384, -65/128, -25/96, -85/192, -7213/192, 5863/512, 1657/768, 67/768, 
  20123/192, -133169/768, -391/144, 67811/768, -120989/576, 2455/2304, 
  -295043/2304, -553/384, 927/64, 833/24, -5373/128, -39/4, 5705/128, 
  -45815/384, -320639/1536, 103667/512, -163295/768, 1370855/4608, 30197/144, 
  48105/256, -204755/4608, -221/12, 3929/192, -62789/1536, -60975/512, 
  -3847/384, -77045/384, 3131843/9216, -1424405/9216, 222281/1024, 
  -380665/4608, -113347/3072, -655099/9216, 382447/9216, 5161/192, 
  246425/4608, 479627/3072, 50243/3072, 1933/384, -241/768, -4777/768, -3/4, 
  5905/192, -5/12, 0, -179543/2304, 5615/384, 25/96, -693263/4608, 17255/256, 
  -31/48, -1681625/18432, -191935/1536, 10801/768, -326059/6144, -2983/384, 
  32581/1536, 155/96, -65/128, 7501/64, -140735/1536, 415/128, 99869/512, 
  656393/4608, -21865/384, 161363/1536, -14161/768, -155207/4608, 155/72, 
  1267/768, -2503/192, -407813/4608, -37/48, -573107/1536, 73487/384, 
  -92441/9216, -4157/1152, -2455/2304, 172627/9216, 98569/1152, -15379/4608, 
  -14855/192, -29453/384, -727/256, 496819/1152, 468167/1536, 31099/768, 
  1428557/2304, 2819977/3072, -4641/256, 768511/2048, 583/24, -363709/1536, 
  -107089/384, 2519/384, -3111623/4608, -4100815/3072, -113045/768, 
  -2798143/3072, -267631/1536, -100109/4608, 2540167/4608, -44401/2304, 
  5931815/4608, 625955/4608, -464777/9216, -122731/1152, -267767/3072, 
  -280585/3072, 1175/64, -1140419/3072, -3957545/6144, -6771/512, 
  -4591639/6144, -1249/384, 641/32, -33977/768, 4251137/18432, -13681/4608, 
  13408259/18432, 2307137/9216, -10433/192, 13553/3072, -1644481/9216, 
  6587/192, 2563/384, -417991/18432, 129143/3072, 44743/9216, 414161/6144, 
  -5785/192, -48773/1024, 1717367/18432, -1504727/9216, 127735/3072, 
  -15107/256, 88559/1024, -1775/768, 46409/768, 9/8, 0, 81/64, 3055/192, 
  -389/192, 35/64, -162223/1152, -20065/256, 3083/192, 36929/1152, 
  1237021/4608, 47495/768, 85/12, 485377/18432, -197659/1536, -85/12, 
  -369083/6144, -457/256, 6133/384, 60247/1536, 4/3, -50, 189751/1152, 
  -141925/1536, 521/192, 32869/4608, 463469/4608, -10469/128, 63555/512, 
  -1129/1536, -13787/192, 357335/4608, -617/96, 107/96, 121453/384, 
  -444389/4608, 41161/384, -106757/512, -239/192, 1220665/9216, 9041/576, 
  4019/48, 1364519/9216, -24811/192, 27757/4608, -31857/256, -365/768, 
  -2381/384, -5249/64, -74371/768, -633/8, 201/16, 1718285/9216, 
  1047115/3072, 404669/1536, 61823/768, 169217/2304, 893011/1024, -11939/256, 
  782639/2048, 1/12, 10085/256, -43081/768, -36543/512, -76207/256, 
  -88505/768, -808739/1024, -1334513/1024, -162345/512, -853221/1024, 
  7783/256, -59989/288, -296455/4608, 892901/1536, 1235509/4608, 756577/512, 
  513469/1536, 218945/1152, 1684655/9216, -641887/4608, -1489/72, 4951/256, 
  -394973/6144, 106423/2048, -53151/1024, 1211/512, -724457/3072, 
  -3580577/6144, -120419/768, -1503757/2048, 1/48, -455311/2304, 
  -1220845/18432, 340361/2048, 2499265/9216, 9568819/18432, 95173/768, 
  1811093/9216, 1879763/9216, -2029927/9216, -168085/9216, -720719/9216, 
  -180529/6144, -839/1024, 441259/4608, 159395/2048, -32/3, 261805/9216, 
  1028605/6144, -248197/4608, 226577/4608, -172/3, 86383/1024, 43249/768, 
  -3/8, 0, -55/192, 163/96, -1/192, 55/24, 4675/768, -49627/768, 925/64, 
  -8503/192, 185993/1536, 47827/768, 636187/6144, -64805/512, -127785/2048, 
  -113/128, -835/256, 15661/512, 4/3, 0, -28855/768, 469937/2304, 
  -132469/1536, 7/32, -174433/1536, 429617/4608, -221/48, 63059/512, 
  -15577/1536, -1149/32, 409559/4608, -617/96, 13/32, 122185/384, 
  -596405/4608, 7479/128, -423479/1536, 895/384, 1258165/9216, 9041/576, 
  2029/48, 1206059/9216, -57901/384, 27757/4608, -4111/32, 0, -409/768, 
  -5713/768, -8957/768, -627/8, 0, 1001/24, -122035/9216, 421241/1536, 
  -19/96, -5476879/9216, 2826865/3072, -10927/1536, 760159/2048, -85/12, 
  637/768, 1847/24, 343021/1536, -228437/768, 21239/768, 299507/9216, 
  -1333165/1024, -6325/64, -959425/1024, 2969/48, -89/48, -220691/512, 
  299831/512, -25745/768, 6237485/4608, 465647/1536, 187367/2304, 
  1586015/9216, -298157/1536, -8011/288, 1411/256, 1493/96, 1252897/6144, 
  -171893/3072, -7471/768, 7880897/18432, -3889657/6144, 3407/128, 
  -1428157/2048, 121/12, -7765/768, -5098327/18432, 402225/2048, 28449/512, 
  9634651/18432, 7321/96, 13127/128, 1553143/9216, -312363/1024, 
  -392123/3072, 10667/768, -423625/3072, 41437/1024, 15987/256, 859369/6144, 
  -55/16, -48937/1024, 229335/2048, -29095/512, -2185/512, -173701/2304, 
  127297/3072, 97/24, 180331/2304, -21/8, -1/8, 9037/576, 1883/72, -17/256, 
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  -2770009/36864, -1305469/55296, -474789/4096, 318727/6912, -540581/36864, 
  0, 59/32, 32707/2304, 0, 61307/9216, 846305/27648, -24653/9216, 
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  -19/48, -23/16, -3/8, -1055/576, 13159/576, 235/12, 0, 2747/1152, 
  11647/288, 3541/576, 5/32, 5557/576, -38387/1152, -11/96, -9847/1152, 0, 
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  22795/18432, 23555/2048, -1123/1152, 172241/6144, 823663/18432, 8725/2304, 
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  -5561/2304, 895313/4608, 5881/512, 4619711/18432, 75095/2304, -25411/36864, 
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  562361/4608, 276973/3072, 237269/1152, -49141/1536, 115529/9216, 
  -566863/73728, 1303477/6144, -1451287/36864, -14534849/73728, 
  -2967613/73728, -431963/9216, -3009169/18432, 2801813/73728, -76685/1152, 
  -53555/3072, 70235/144, 36119/3072, -30401/256, -1277621/18432, 
  -1930291/24576, -3197743/8192, 2512453/18432, -10469/192, -1975/1024, 
  -2441/1024, 10829/192, 1, 0, -41/72, 3541/576, 0, -269/288, 3541/576, 0, 
  -35/96, 0, 0, 1045/576, -141529/4608, 35/256, -7303/1152, -18873/512, 
  35/256, -3263/384, 0, 0, -1709/2304, 82393/6144, -5/768, -7565/2304, 
  813295/18432, -65/768, 10331/1152, 0, 589/2304, 343/256, 2231/2304, 
  -74161/6144, -155/192, -24107/18432, -143/256, 0, -235/144, -17/72, 0, 
  71/9, 3949/576, 0, -591/32, 0, 0, 661/128, 32501/73728, -293747/18432, 
  -35/256, -323/4608, 8501351/73728, 385/768, 9235/2304, 1/32, -8561/2304, 
  284843/73728, -130843/4608, -16493/2304, 3736375/73728, 10685/1536, 
  -16059/4096, -52979/36864, -95699/1024, 353213/36864, 0, 121/48, -77/18, 0, 
  -69/16, 14653/576, -5/48, 2491/288, 0, -4279/1152, -939235/36864, 
  -213509/4608, 25909/1536, -143467/73728, -127609/1152, -590767/73728, 
  132263/73728, -17645929/73728, 1195297/36864, -23/72, 803/144, 811/288, 
  -1607/576, -149/48, 5226017/73728, 257/1024, -11047339/18432, 
  11239489/73728, -4153/576, 23/6, 2285317/18432, -35/96, 29/96, -13/3, 1/3, 
  0, -589/192, 153/128, 3805/384, -1/3, -5/48, 3109/384, -101/16, -2141/384, 
  0, -449/24, 1849/384, 199/384, 5393/384, -53/128, 0, 3/4, 125/128, 89/24, 
  -1/3, -455/256, 785/64, -23281/768, -1625/384, 1681/96, 29425/256, 
  24847/768, 31901/576, -88151/768, -164327/2304, -65/128, -3503/2304, 
  -2785/1152, 5/8, -1857/256, -123299/2304, 64055/2304, -40243/768, 
  -194153/2304, -56675/2304, 1657/768, 5117/2304, 101/144, 445837/2304, 
  25795/576, -159473/1152, -391/144, -139/128, -47245/256, 2455/2304, 35/96, 
  -53/24, 629/48, 5/8, 439/192, -3479/128, -1775/256, -5/8, -1669/128, 
  23405/384, -4739/768, 12373/384, -505/16, -131/6, -1/3, 221/96, -3169/192, 
  -5/8, -709/256, -1879/384, -5425/384, 1301/2304, -1027/288, 653/192, 
  36235/1152, 14233/2304, -833/1152, 125/36, -605/192, 293/2304, 109/48, 
  -215/24, 89/48, 1719/64, -8977/192, -89/48, -24421/384, 10697/192, 
  13235/384, -1129/128, 1099/144, -89/48, 32855/576, 1225/96, 231/16, 
  191/144, -975/32, -3029/384, -5/12, -55/16, 11733/256, 55/16, -34879/768, 
  2297/576, 55/16, -112865/2304, -2057/576, -1/8, 1/8, 1/8, 35/96, -203/96, 
  14/3, -1/3, 0, 9721/384, 75209/384, -7/128, -2153/384, -205/96, 33545/192, 
  -755291/2304, 10319/192, 2831/64, -954317/1536, -346081/2304, -676171/6144, 
  1749239/4608, 424331/6144, 0, -71/96, -211/384, 5/8, 65/128, -86111/192, 
  -114333/512, 23581/768, 845/32, 211443/256, 91807/512, 203453/1536, 
  -891697/4608, 4001/512, 65/128, 4151/2304, 101/144, -877/768, 2400755/4608, 
  18431/384, -468935/768, -3678065/4608, 348003/512, -1267/768, -139/128, 
  -97825/9216, -48529/256, 1880275/3072, 2455/2304, -10469/4608, -35/96, 
  9/32, -665/48, -5/8, 3/16, 23/48, 207/64, -1733/2304, 26/9, -475/2304, 
  -85/192, 53/6, -89/48, 1313/384, 185/144, 59/96, -987/128, -59/96, 19/24, 
  55/16, 281/192, -2561/576, -161/192, 1/8, 3/8, 0, 0, 39/16, -37/24, -23/32, 
  0, -268763/384, -67593/128, -329/16, 205/96, 510431/576, 354779/576, 
  3605/96, -133/3, 257491/4608, -122773/1152, 636443/6144, -229679/4608, 
  -127785/2048, 181/192, -1/192, -551/192, 41/24, -107/128, 99403/96, 
  265307/512, 1001/192, 512137/768, 511235/1152, 145807/1536, -1325213/4608, 
  -1876301/4608, -1817707/4608, -1397/384, -143/192, 33/64, 1555/768, 
  -1150525/4608, -2471/768, -166465/384, -3586433/4608, 192317/4608, 
  1237/288, 5/12, 148105/9216, 7729/1152, 3710351/9216, -1843/1152, 
  -21227/4608, 35/96, 239/48, 1399/96, 251/192, 267401/384, 2805/16, 585/256, 
  -599/256, -128861/576, 135809/192, 364841/768, -179783/384, -1435/48, 
  -383/12, -541/384, -1853/192, -1381/96, -107/192, -1359665/768, 
  -441067/768, 449/128, 283667/288, -90979/192, 186449/384, 1787/576, 
  16217/2304, 11/4, 1026703/576, 95507/256, -448669/576, -3421/1152, 
  -8237/2304, -1627711/2304, 175/192, -53/16, -2597/192, 131/48, -33095/192, 
  -215651/384, 3091/256, -29447/384, 24329/384, 4833/128, 3211/384, 5089/384, 
  -95/48, 210647/576, 1250425/2304, 431/24, -287/96, -287/384, -54949/288, 
  -791/384, 175/64, -563/64, 39023/768, 589/192, -12661/256, -1/16, 539/64, 
  -103697/2304, -211/64, 65/24, 43/8, -37/12, 0, -55/96, 85/48, 0, 
  129209/384, 22139/128, 371/64, 0, 168919/1152, 110353/768, 0, -2989/16, 
  85/12, -1/48, 65/48, 0, 14207/384, 131/256, -128909/384, -13009/192, 
  5963/32, 865/384, 55/256, 1121/768, -19439/256, -2983/384, 35/96, -29/96, 
  13/3, -1/3, 0, 659/192, -575/384, -2141/384, 0, -597/128, 1849/384, 0, 
  5393/384, -53/128, -35/96, -93/32, -3743/384, 47/192, -129269/384, 
  -6605/256, 341/32, 201053/1152, 42623/768, -11621/144, 59/96, 7811/2304, 
  1865/576, 319, 180965/768, -186133/576, -5663/2304, -1865/2304, -18359/128, 
  1637/768, -35/96, 53/24, -629/48, -5/8, -509/192, 11285/384, -4739/768, 
  3989/384, -505/16, -131/6, -5/96, 1099/192, 745/192, -45431/256, 17411/576, 
  10933/768, -47/2304, -2003/1152, 191711/1152, -985/2304, -109/48, 215/24, 
  -89/48, -1855/64, 10697/192, 13291/384, 1753/384, 1739/576, -23207/576, 
  -809/128, 5/12, 55/16, -34879/768, -2033/576, 1/8, 35/96, -29/96, 13/3, 
  -1/3, 0, 589/192, -153/128, -3805/384, 1/3, 5/48, -3109/384, 101/16, 
  2141/384, 0, 449/24, -1849/384, -199/384, -5393/384, 53/128, 0, -37/96, 
  -659/384, 5/8, 0, 3535/2304, 257/48, -275/256, -175/32, -85/96, 4423/576, 
  17927/768, -2133/256, 29/16, -8581/384, 655/64, -1045/768, 9401/1152, 
  1147/1536, 65/128, 2615/2304, 101/144, 65/128, 13609/2304, 10327/1152, 
  6721/576, -3175/384, -227/8, 5179/1152, 3725/384, -318751/4608, -9355/192, 
  -1267/768, -139/128, -773/768, -17105/2304, 4145/1152, -5533/384, 209/192, 
  43781/384, 2455/2304, -829/1152, -967/768, 92179/2304, 2455/2304, -35/96, 
  53/24, -629/48, -5/8, -439/192, 3479/128, 1775/256, 5/8, 0, 1669/128, 
  -23405/384, 4739/768, 0, -12373/384, 505/16, -5/48, 131/6, -1/32, -45/32, 
  653/192, 35/576, -9/8, 1481/768, -497/16, 8279/576, -37069/768, 1661/768, 
  -1373/2304, 125/36, 1235/384, -23975/2304, -1439/128, 15171/512, 
  70451/4608, 293/2304, -12359/1152, -1799/1536, 208931/9216, 283/288, 
  -109/48, 215/24, -89/48, -1719/64, 8977/192, 89/48, 24421/384, -10697/192, 
  0, -13235/384, 2515/384, 191/144, 19/12, -2159/576, -14021/768, 21833/288, 
  12575/768, -3029/384, -1/6, 25567/1152, -30703/768, 10561/288, 5/12, 55/16, 
  -11733/256, -55/16, 34879/768, -2057/576, 2285/384, 6961/1152, -48211/2304, 
  -3011/288, 1/8, -1/8, 7/12, 0, -15/16, 6475/384, -2701/384, -3/8, -205/96, 
  1891/48, 21247/576, -951/128, 8483/192, 113105/1536, -47009/1152, 
  -232857/2048, -1551/512, 149121/2048, 65/128, -89/8, -16945/512, 247/96, 
  -5329/256, -19259/256, 98185/1536, 20509/1536, -79895/1536, 148855/512, 
  -85/12, -1267/768, 638551/4608, 317/192, 26969/96, 494669/4608, 
  443243/1536, 5/6, -82621/9216, -8711/2304, -2010227/9216, -15379/4608, 
  35/192, -29/192, 35/12, -1/6, 0, 25/192, -5/96, 15617/1536, 2513/768, 0, 
  -37/192, -719/768, 5/16, -65/256, -65/256, -207/256, 14755/1536, 65/256, 
  2615/4608, 101/288, 1267/1536, 11/192, -2621/768, -1267/1536, -139/256, 
  -2455/4608, 4165/2304, 2455/4608, -35/192, 43/48, -629/96, -5/16, -247/512, 
  79/1536, -11429/1536, -333/64, -1/64, -115/96, 365/384, 1439/768, -271/768, 
  -12329/768, -1373/4608, 125/72, 3911/4608, 46021/4608, 293/4608, 
  -4165/2304, -149/96, 161/48, -89/96, 181/512, -2255/512, 2789/768, 
  2615/768, -25/288, 11231/2304, 13483/576, -903/256, -34855/4608, 5/8, 5/24, 
  55/32, 50287/4608, -1277/384, 25/24, -1625/1152, -61163/4608, 5/12, 3/8, 
  1/16, 17/16, 3/8, 0, -35/64, -105/64, 51/64, 1319/192, 55/64, -784261/2304, 
  -137161/768, 433/384, -191/96, -325/192, 53035/288, -2591/384, 1733/384, 
  -237/256, 5627/2304, 2033/256, 16439/1536, -1889/768, -5161/768, -65/128, 
  -507/64, -1543/96, -1897/128, 0, 173/256, -20927/768, 3707/256, 87/16, 
  25/96, -1745/768, -352505/4608, -14683/768, -5/48, 246883/2304, -3225/256, 
  1579/256, -1899/256, 5233/384, 1513/768, 805/96, 25651/2304, -65/128, 
  1703/96, -38621/2304, 433/96, -65/128, -14003/96, 14639/768, 239/384, 
  6295/768, -1951/256, -437/288, 271/192, 1267/768, -1111/16, -803/768, 
  11/96, -899/144, -447/128, 175/2304, -2455/2304, -149/256, 4165/1152, 0, 
  185/192, 51/32, 1889953/144960, -4793/384, -1/6, -25/96, 1589375/4608, 
  51706331/289920, -758639203/1159680, 131/96, 15/64, -904231/4608, 
  -106646491/579840, -373/48, 221/256, -3973/288, -8323/256, -16195/1536, 
  -3005/256, 2513/768, 65/128, 1157/96, 41225/1152, 3849/128, 461/192, 
  -91/128, 211093553/3479040, 170806121/869760, 4371/128, -295/512, 
  675008671/1739520, 91837/768, -10327/1536, 67729/1536, -21029/1536, 
  -1267/768, 317807/4608, -31213/576, -1837/1152, 4099/1536, 
  -120712639/695808, -147911/4608, -1559/768, -93604007/434880, -19387/768, 
  1285/2304, -282473/2304, 17/576, 7039/2304, -191317/1536, 96593/4608, 
  1267/768, 2033/1536, 8383/1536, -3079/2304, -5/12, 52314169/1159680, 
  35010491/579840, 196781323/173952, -5/16, -1343/384, 889763/231936, 
  3159064187/3479040, 4543/768, 2821/384, 70092197/386560, 8339/64, 
  6721/1536, 347/24, -333/64, 99/256, -210058267/3479040, -8033117/108720, 
  55/192, -503139/12080, -803058437/2319360, -26953/512, -924353/96640, 
  -268909/4608, -12013/1536, -1253/4608, -67298753/1739520, 3929/288, 
  9599/768, 673568119/1159680, 375840983/3479040, -41/64, -12479/576, 
  2665437/193280, 3317/4608, -48515009/1159680, 5196583/289920, 
  -328552877/217440, -89/96, -22403/24160, -196935103/695808, -24329/768, 
  -1363/192, 27/64, 2789/768, 141724727/3479040, -312092399/2319360, 335/72, 
  7216063/115968, 35047/4608, -13241/768, 48522221/3479040, 
  -250652767/434880, -38439061/231936, -37000921/3479040, -50973289/1159680, 
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  1227389/4608, 505/288, 1193/512, 2381957/4608, 24023/1536, 1085/768, 
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  51193891/147456, -5729/1536, -2267399/24576, 2513/768, 65/256, 25/192, 
  8135/1536, -4673143/110592, 1001/1536, 314723/18432, 137292275/110592, 
  -3206405/55296, 17107/768, 288991/221184, 435876863/331776, 
  144149645/442368, 155054663/442368, -802461/8192, -877/1536, -3733/4608, 
  37203653/55296, -1337/1536, -61826981/221184, 259745641/331776, 
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  57077/3072, -69847567/73728, -410498231/442368, 3133369/442368, 
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  11921/1536, 5/768, -2209/1152, 37967/1152, -5/96, 3175/384, 11921/1536, 
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  2315/2304, -263749/18432, 35/768, -403/1152, 24107/18432, 589/2304, -25/32, 
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  -81589/73728, -365407/73728, -359/576, -16633/4608, 660671/18432, 
  4626571/73728, 1117/576, 5352005/73728, -23263/4608, -18295/18432, 
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  155/144, 289/1536, 54197/1536, -913/4608, 3153/512, 8481/128, -80573/4608, 
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  35/192, 77/96, -71/32, -31/48, 0, 293/128, 9287/768, -3239/1536, 5/16, 
  5/48, 475/256, -6569/256, 4739/1536, 0, -529/256, 505/32, -53/128, 131/12, 
  0, -49/64, -215/128, -257/128, 1/3, 829/1536, -30119/1536, 3335/192, 
  4429/768, -153/8, 58243/768, -16357/768, -305767/4608, -40799/1536, 
  -2623/128, 65/128, 5633/4608, 1595/384, -5/8, 937/96, 253957/4608, 
  -132875/4608, 1999/32, 621913/4608, 326161/4608, -1657/768, -9941/4608, 
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  105967/576, -2455/2304, -35/96, 103/96, -69/8, -149/96, -509/192, 383/24, 
  4405/256, 89/96, 3989/384, 181/768, -10697/384, -131/6, -13235/768, 1/3, 
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  8497/144, 68515/1536, -1301/2304, 2153/2304, -653/192, 14281/1152, 
  -12199/4608, -6187/768, 833/1152, -125/36, -37477/4608, -293/2304, -109/48, 
  55/6, -13/96, -5593/192, 50377/1536, -55/32, 13291/384, 34879/1536, 
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  -231/16, -191/144, 5737/512, 3029/384, 5/12, 7/2, -34879/768, -1/16, 
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  59287/1536, -283895/2304, 5585/64, 0, 0, -69083/72, -69083/72, 
  34486657/864, 34486657/864, 63068375/864, 63068375/864, 69083/72, 
  -91967/32, -18484883/432, -63068375/864, 91967/32, 77/4, 139/4, 31/2, 
  -77/4, -31/2, 6575/1344, 214735/672, 207811/1344, 83257/4032, -1067/144, 
  287/18, 59/36, -333/32, -861983/2880, 2479/96, 2929049/40320, 0, 333/32, 
  -2479/96, 2/3, 2, -13/3, 0, 3959/96, -2/3, -2, 13/3, 0, 35/2, 147/4, 77/4, 
  -35/2, -77/4, -6575/1344, 18185/168, 367139/1344, 200327/4032, 11195/144, 
  41/72, 59/24, 0, 4157/1920, 0, 0, 394747/13440, 0, 0, 0, -177661/4480, 
  -4157/1920, -127/12, -38/3, -38/3, 38/3, 4409785/13824, 292247/2304, 
  76225/3456, 82835/2304, 8587/604, -1959/302, -4267/1510, 31293/604, 0, 0, 
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  7677/12080, 75633/6040, -10293/2416, -143589/12080, -43/64, -41/96, 11/6, 
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  -415187/4608, 73403/1152, -73403/2304, 947093/6912, -59287/1536, 
  284255/2304, 5740853/13824, -107959/432, 109475/2304, -753671/6912, 0, 0, 
  0, 2/3, -1087/12, -2/3, 0, -5/6, -23071/288, -481/18, -23263/288, 8663/288, 
  5437/96, 5/3, 25111/288, 23191/288, -13/2, 0, -2/9, 0, 0, -10/9, 0, 4/3, 
  -22399/1152, -455/144, 25/288, 0, -119/1152, 0, 0, 463/144, 0, 0, 19/6, 
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  23/24, -1, -86/9, -7109/144, 4261/12, 23/8, -1/8, 0, -21/2, 35/4, 83/8, 
  45/4, 93/4, -45/4, 67571/576, 51/16, 367973/576, -95/2, -575/12, 
  549919/2304, -9131491/13824, 287/48, 3530167/3456, 367973/576, 
  -3694327/3456, -5/12, 839273/1152, 553105/2304, -18698497/13824, 445/48, 
  4820351/6912, 4089949/2304, 1620157/2304, -2645975/1536, 367973/576, -95/2, 
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  0, 0, 0, 0, -29/9, 5/18, 559/864, 59195/864, -1057/1728, 0, 28/9, -1/6, 0, 
  59/18, 77/2, 139/2, 31, -77/2, -31, -919/36, -169/8, -93/2, 93/2, 5/2, 35, 
  147/2, 77/2, -35, -77/2, 919/36, 169/8, 93/2, -93/2, -5/2, -231/4, -417/4, 
  -93/2, 231/4, 93/2, -835/48, 1775/96, -17/3, 0, 0, -105/2, -441/4, -231/4, 
  105/2, 231/4, -35/2, 285/32, 193/48, 3450355/864, -5676653/864, 
  1144739/432, -2617411/432, 4345799/864, 1766287/864, -35/3, -173/12, 5/2, 
  35955/224, -31183/2016, 1277/672, -53269/4032, -1277/672, 31/2, 31/2, 
  659/16, 103/6, 15/4, -6, 5/2, 31/2, 2473/48, 481/48, 15/4, -15/4, 295/4, 
  -47, 18847/288, 835/48, 20087675/16128, 3234587/5376, 19908811/16128, 
  -462095/5376, -5430065/8064, -1219/96, -19787627/16128, -19702171/16128, 
  -1/8, 76/3, 76/3, -55/8, -6944827/56448, 0, -19239275/16128, 
  -18668299/40320, -139/24, 43/8, 42428171/282240, -74240711/141120, 
  1393201/3840, -9650357/94080, 3/2, 718643/13440, -853883/2880, 
  938023/13440, 7789511/40320, -1303/4480, -40/3, 4746439/40320, -2821/1920, 
  -233/6, 5431627/5040, 866377/16128, -19815709/26880, -3449899/2880, 
  -283/60, 175583/13440, -859013/1440, 333/16, -2233129/40320, -2479/48, 
  -62/3, 4396699/20160, 444827/5760, -30, 85356157/141120, 128819/5376, 
  -100864441/141120, -892081/720, -29066449/188160, -685/288, 11/8, 245/144, 
  -31/6, 0, -155239/3456, -94861/13824, 0, -46363/21504, -38153/7168, 
  149845/576, 144805/1152, -157477/1152, -149845/576, -5340115/21504, 
  -1198721/9216, 11, 57269/504, 43/8, 66791/3072, 333/32, 144805/1152, 71/8, 
  -149845/576, -55/8, -79739/9216, -37363/1024, -148117/1152, -679489/21504, 
  -1885/288, -263/256, 1069/128, 11221/1152, -6177/256, 263/128, 2323/576, 
  -554779/10752, -4085/768, 506125/32256, -9607/384, -349/96, -1159/256, 
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  -5749/768, 1869487/32256, -7943/384, -263/512, 0, 0, 0, 0, -22341379/4032, 
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  10007/288, -2810593/4832, -362084477/782784, 542281/12960, 
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  -969959/9060, -1726724737/2536800, 1138072/11325, -3/2, -886783/24160, 
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  -596863/24160, 451903/24160, 62/3, -112/3, -1635743/24160, 30, 
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  -11554889/6912, -139/24, 971323/768, 325033/1728, 216616943/1304640, 
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  3061/576, -183995711/869760, -42374427/773120, 14603615/154624, 
  143948159/869760, -965899/6040, -13411/2416, 3213563/193280, 
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  -2389081/12080, -245684381/2319360, 65276539/386560, 72044999/434880, 
  -65874875/463872, 157/288, 263/256, 263/128, 1739/1152, -263/256, -263/128, 
  -2053/576, 1782481/386560, -1112995/115968, -4422651/386560, -74523/96640, 
  71478757/773120, -227/96, 1159/256, 263/256, 1739/1152, -263/512, 185/128, 
  -2053/576, 2179611/386560, -1382051/115968, -4819781/386560, -347611/96640, 
  100939567/773120, 0, 0, 2/9, 0, 5/48, 0, 0, 0, 0, 5, 0, -7/6, 0, 0, 0, 0, 
  23/18, -1526093/36240, -327449/9060, -1429199/36240, -606451/18120, 
  327449/9060, 606451/18120, 8417526377/6088320, 8273969537/6088320, 
  -8310307433/6088320, 53392493/72480, 7414213/72480, 0, -7414213/72480, 
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  852511/18120, -1800773/36240, -888989/12080, 3/4, 185575/3456, -3/4, -3/4, 
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  52087/1510, 391793/6040, 642083/6040, 66181/3020, 53184/755, -1/8, 
  36447/6040, -55329/12080, -1/4, -24621/3020, 15/8, -11, 43249/12080, 
  53017/6040, -1/2, 298551/6040, 172773/3020, 216503/3020, 37087/12080, 
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  2455/768, -678835/6912, -19/24, -853769/384, 712909/4608, -2/3, -346/3, 
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  762293/144, 287321/96, 0, -1213117/1152, -3874219/9216, 1180085/1152, 0, 
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  486929/1152, -8585/96, 1292945/6912, 9197/768, -477925/3456, 317/48, 
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  97/36, 3/4, -24, 107/3, 61, -31/3, 166/3, 31, -15, -76/3, 18, 60, 31/3, 
  62/3, 0, 31/3, -15, 31/3, 15055/1728, 1699/576, 3425/1728, -37889/3456, 
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  615335/864, 516503/192, 865/192, 17367/256, -3289/1152, -396053/6912, 
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  0, 0, 11/6, 7/36, 517311413/4620600, -24, -50395493/4620600, 
  931380031/4620600, -146914734529/172502400, 50395493/4620600, 
  -517311413/9241200, -7162139/72480, -517311413/3080400, 36, 
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  355181/1152, 354293/576, -409901/1152, -95/4, 2693851/2560, 99355/1728, 
  60301063/69120, 2117/9, 210473/256, 651929/6912, -4586347/7680, 
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  7/4, -5/4, -1/4, 0, 3/2, 0, -1/4, -3/4, -1/4, 0, 1/4, 9/4, 0, 1/2, -3/2, 
  -9/4, -1, 3/2, 1/4, 1/4, 3/4, -15/4, 0, -1/4, 1/4, 3, 5/4, -5/4, -1/4, 
  -1/4, 3/2, 0, -1, -3/4, -1/4, 0, -15/4, -3/4, 7/4, 9/4, 2, 5/4, 1/2, 15/4, 
  11/4, -5/4, -13/4, -5, -7/4, -7/2, -2, 13/4, 2, -3, 3/4, 0, -1/2, 1/4, 3/4, 
  -1/8, -1/8, -19/8, -4, -3/4, -1/4, 27/8, 61/8, 15/4, -1/2, -5, -19/4, 7/8, 
  7/4, 1/4, 1, -7/8, -3/8, 3/8, 3/4, 49/8, 15/4, 7/8, -7, -67/8, 15/8, 13/2, 
  -7/4, -3/8, -3/8, 3/8, -1/4, -7/4, -33/8, -3/4, 37/8, -7/4, 1/8, 0, 9/8, 0, 
  0, 1/8, 1/4, -3/8, 3/8, 1/8, 15/8, 7/8, -19/8, 15/8, -3/8, 3/8, -3/8, -1/8, 
  -21/8, -7/8, 19/8, -15/8, 1/8, 0, 3/4, 0, 0, -1/8, 5/8, -1/2, 7/8, -1/2, 
  3/8, 27/8, 3/4, -9/4, 3/8, -1/2, 3/2, -1, -3/4, -3/8, 35/8, -9/8, -39/8, 2, 
  -3/4, 3/4, 1/8, -6, 1, 0, 3/2, -3/8, -3/2, 1/8, 3/8, -1/8, -1/2, -11/8, 0, 
  0, 5/8, 3/4, -1, -35/8, -3/4, -7/8, 23/4, 15/4, -7/8, -19/4, 7/4, 1/4, 
  -5/8, -3/4, 3/8, 7/8, 47/8, 45/8, 7/8, -39/8, -43/4, 11/4, 67/8, -7/4, 
  -3/8, -3/4, 3/4, -1/2, -3/4, -27/4, -13/8, 7, -29/8, 1/4, 0, 0, 15/8, 0, 0, 
  0, 3/4, -11/4, 9/4, 27/8, 13/8, -39/8, -9/4, 9/4, -5/4, 3/8, 0, 37/8, 3, 
  -19/4, -43/8, -9, 25/4, 15/4, 1/8, 1, -63/8, -19/4, 27/8, 99/8, 19/8, 
  -23/8, 29/4, 9/8, -23/4, -9/4, 3/16, 1/16, -1/8, 5/8, 3/4, 1/16, 1/4, 
  -9/16, -25/16, 3/16, -3/4, -1/16, 7/16, 25/16, -11/16, -1/16, 1/8, -1/8, 
  -15/16, -1/16, 3/16, 21/16, -3/16, 7/4, -15/8, -1/16, 3/16, -1/16, -3/16, 
  -3/8, 0, 0, -3/4, -47/16, -59/16, -9/4, -3/8, 9/4, 55/16, 27/16, 7/16, 
  33/16, 27/8, 79/16, -3, -43/8, -43/8, 17/8, 5/16, 11/16, -5/16, 11/8, 21/4, 
  37/8, -5/16, 11/16, -77/16, -9/2, -11/16, -65/16, -33/8, 105/16, 27/4, 
  -21/8, 1, 1/8, -31/16, 1, -11/16, 7/4, -7/8, 25/16, -43/16, -7/8, -9/16, 
  -7/8, 3/8, 15/16, 3/16, 3/16, 1, 53/16, 55/16, 21/16, -3/16, -129/16, 
  -325/16, -193/16, -3/16, 13/2, 39/4, 59/8, 135/16, -119/16, 5/16, -41/16, 
  -25/4, -15/4, -1/2, 75/4, 381/16, 39/16, -15/2, -153/16, -1, 29/16, 43/16, 
  45/16, -37/4, -55/16, 7/8, -7/16, -31/16, -3/16, -1/4, 1, 7, 11/2, 73/16, 
  105/8, 79/16, -199/16, -299/16, 33/4, 19/16, -59/16, -69/8, -27/2, -255/16, 
  135/8, -31/16, 19/8, 37/4, 1, -11/8, -57/8, -91/16, 29/16, 97/16, -3/8, 
  9/2, 71/8, -57/16, -25/8, 9/8, 9/8, -9/8, -9/8, -1/4, 3/8, -1/8, -1/8, 
  -13/8, -3/8, -1/4, 5/2, 15/8, -1/2, -19/8, 7/8, 1/8, 1/8, -3/16, 3/16, 
  15/16, 11/8, -3/8, 1/16, 5/8, -7/8, 15/8, 3/16, -3/4, -19/8, 7/16, 7/8, 
  -1/16, 0, -3/16, -9/8, 3/8, -1/8, -1/2, -21/8, -3/8, 19/8, -7/8, 0, 1/8, 0, 
  3/4, 0, 0, -3, -9/2, -3/8, 99/16, 37/8, 33/16, -141/16, -41/16, 31/8, 
  -41/16, 11/8, 5/16, 121/16, 49/4, -181/16, -47/4, 189/16, -15/8, -11/16, 
  -47/16, -165/16, 75/16, 151/16, -41/16, -1/8, -25/16, 25/16, 5/16, -57/16, 
  11/16, 1, 15/16, -3/16, -1/4, 47/16, 21/8, 5/2, -41/16, -187/16, 45/8, 
  87/4, 147/16, -119/8, 9/8, -57/8, -121/16, 35/16, -271/16, -19/8, -13/8, 
  49/16, 17/2, 47/8, 71/16, 1/16, -35/8, -19/16, 11/16, -19/8, 145/16, 11, 
  14, -139/8, -409/16, -81/8, 33/2, 123/16, -41/16, -291/16, 581/16, -13/8, 
  -81/16, 115/16, -149/8, -1/4, -1, -67/8, -91/8, 31/16, 97/8, -3/4, 6, 61/4, 
  -141/16, -5, 9/8, 9/4, -9/4, -9/8, 1/8, -3/16, 3/16, 1/16, 19/16, -3/8, 
  9/16, -17/16, 15/8, 21/16, -19/8, 7/8, -1/16, 0, -3/4, 3/8, -1/8, -1/8, 
  -21/8, -3/8, 19/8, -7/8, 0, 1/8, 0, 3/4, 0, 0, -3/4, -2, -3/2, -9/2, 41/8, 
  67/16, 99/16, 9/8, -101/16, -1/8, -9/4, -49/16, 2, 3/8, 29/16, 63/16, 49/4, 
  7/16, -7/2, -131/16, -153/16, -39/16, 271/16, -25/8, 17/8, -15/16, 1/2, 
  -5/16, 1/2, -17/16, -165/16, -5/8, 21/16, 69/16, -91/16, 7, 35/16, 3/8, 
  -11/8, 25/16, 19/16, -3/8, -23/4, 1/2, 1, 5/4, -3/16, 3/4, 1/4, -79/16, 
  21/8, -1/8, -6, -27/4, 9/8, 5/8, 129/16, 315/16, -1/2, 31/16, -1/8, 3/16, 
  87/16, -121/16, -17/16, 67/4, -87/8, -83/16, -433/16, 0, -9/16, -1/4, 27/4, 
  -91/16, 31/4, 75/16, 21/16, -53/16, 33/16, 3/8, 17/8, 293/16, 11, -3/8, 
  41/16, -583/16, 3/8, -349/16, 3/2, -191/16, -177/8, -133/8, 1041/16, 
  315/16, -49/16, 25/2, -175/8, -21/16, -83/8, -91/8, 0, 121/4, 19/8, 151/8, 
  -135/4, -65/8, 9/4, -9/4, 1/8, -3/16, 1/16, 1/16, 15/16, 3/16, -19/16, 
  7/16, -1/16, 0, -3/8, 0, 0, -3/8, -1, -3/4, -9/4, 41/16, 67/32, 99/32, 
  9/16, -101/32, -1/16, -9/8, -49/32, 1, 1/2, 13/8, 37/8, -1/2, -153/32, 
  -89/16, 0, 7/16, 205/32, 47/32, 35/32, -3, 7/32, 1/4, 17/8, -73/32, 11/16, 
  5/16, -1/32, -31/16, -5/16, -3/32, 109/32, -7/8, -1/2, -11/4, -33/8, 13/32, 
  91/16, -5/8, -11/16, -9/16, 11/16, 3/32, 9/16, -1/32, 49/32, -115/32, 3/16, 
  -3/16, 1/16, 1, 3/8, 1/8, -79/32, 21/16, -3, -27/8, 9/16, 129/32, 315/32, 
  31/32, -7/16, 57/32, -13/16, 0, 73/8, -9/2, -59/32, -203/32, -109/8, 
  -225/32, 75/8, 29/8, -119/16, 7/32, -3/4, 13/32, 0, 123/16, 57/32, 93/16, 
  -17/8, -21/32, 35/32, -91/32, 1/8, -1, 17/16, 293/32, 11/2, 41/32, -583/32, 
  -349/32, -155/32, -371/32, -43/32, 951/32, 305/32, -3, 187/32, 33/4, 
  167/32, -57/16, -249/16, -10, 111/32, -83/16, -91/16, 121/8, 129/16, 
  -125/8, -145/16, -3/8, 51/4, 9/8, -9/8, -3, 1, 1, 0, 0, 0, 0, 1, 1, -1, 1, 
  0, 0, 0, 0, 0, 0, 0, 0, -3, 3, 1, -3, 3, 0, 0, 0, 0, -2, 5, 0, 1, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 4, -2, 0, 0, -15/4, 0, 15/4, 0, 15/4, 
  -15/4, -15/4, 0, 15/4, 12, 0, -12, 0, -39/4, 15/8, 12, -15/8, -9, 111/8, 9, 
  -111/8, 0, -93/8, 15/8, 111/8, -15/8, 15/8, -9, -15/8, 9, -3/2, 3/2, 0, 0, 
  0, -3/2, 3/2, -8, 8, 8, 3/4, 0, -3/4, 0, 4, -4, 1, 4, -7, 0, 0, 3/2, 0, 0, 
  0, 0, 3, -2, -4, 3, 0, 0, 0, 0, 0, 0, 0, -15/2, -15/8, 15/8, 15/2, 1, -1/2, 
  1, 0, 0, -1/2, 4, -1, -5/2, 1, 2, 0, 0, 0, 0, 13/2, 13, 13/2, 0, 0, 1/2, 
  -13/6, 0, -5/4, 13/6, 3/4, -7/4, -7/2, -7/4, 0, 7/4, 7/2, 7/4, 0, 0, 5/4, 
  -1/2, 1/2, -1/2, 1/2, 1/2, 0, 0, -9/2, 4, 2, -1, -2, 1/2, 3, -1/2, -1/2, 1, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9/2, -5/2, -9/2, 3/2, -1, 6, -7/2, 5/2, 3, 
  1, -10, -5/2, 2, 0, 0, 3/8, 0, -3/8, 0, 0, 0, 0, 0, 0, -33/16, -229/16, 
  -13, 0, 33/16, 21/16, 0, 1, -221/24, -119/8, 0, -37/4, 163/8, 119/8, 39/4, 
  -67/6, -3/2, 31/4, 27/8, -33/16, -671/24, -337/16, 41/6, -21/8, 33/16, 6, 
  0, 0, 0, 0, 0, 173/24, 377/12, 31/3, 105/8, -3/4, 0, -1/4, 41/4, -191/24, 
  0, -1/2, -37/3, 191/24, 0, 25/12, 3/4, -3/2, 105/8, 17/24, 3/2, 127/24, 
  5/6, 0, 105/8, -3/4, 0, -139/24, 105/8, 0, -17/6, 3, -3/4, 1/4, -1/2, 7/2, 
  -11/8, 7/2, 15/8, 0, -13/8, 0, -4, -15/8, 1/2, 69/8, -24, 12, -37/8, 24, 
  -12, -14, -45/2, -17/2, 16, 23, 17/2, -2, -1/2, 0, -7/4, 12, -49/4, -5/4, 
  -41/2, 3, -1, -11/4, 57/4, -1, 93/4, -3, 11/4, -2, -11/4, 0, -9/2, 17/2, 
  -5/2, 12, -14, -7, 0, -5/2, -1/2, -9/16, 3/16, -17/16, 3, 11/16, 3, 17/8, 
  -3/2, -7/8, -3/2, 0, 0, 0, 0, 0, 3/2, 3/2, 1/2, 0, -3, -1, 0, -1/2, -1/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/2, -113/24, -85/3, 0, -73/4, 
  317/24, 85/3, 63/4, -17/2, 0, 43/4, 63/2, -33/8, -1171/48, -493/8, -593/48, 
  -21/8, 33/8, 87/16, 0, -139/12, -381/16, 20, 195/8, 661/16, 15/8, 835/48, 
  -9/2, -281/8, -17, -5/4, 9/2, 139/24, -3, -105/8, 0, 45/4, 23/24, -119/16, 
  -37/4, 21/8, 7/2, -65/8, -4, -31/2, 24, 3/2, 0, 49/2, -11/2, 17, 4, -3/8, 
  65/8, -59/2, 13/4, -217/8, -4, -45/8, -3/4, 81/8, 23/4, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -1, -3/2, -11/4, 0, -2, 0, -1, 0, 0, 0, -1/4, 15/4, -13/2, 
  15/4, -1, -3/4, 9/4, 15/2, -31/2, 33/4, 0, 0, 0, 3/16, 3/16, -3/16, 0, 0, 
  0, 3/16, -3/16, 0, 0, 0, -3/16, 3/16, 0, 0, 3/16, 0, 0, 0, 0, 0, 0, -61/48, 
  367/48, 43/6, -13/4, 235/48, 593/48, 143/24, -1/8, -1/8, -1/2, 65/24, 37/6, 
  0, 45/8, -191/24, -37/6, -23/4, 21/4, 5/8, 1/8, -1/8, -1/8, -1/8, 295/24, 
  701/24, 589/24, 61/8, -175/12, -217/6, -737/24, -61/8, 13/6, 41/6, 37/6, 
  1/8, 1/8, -9/4, -15/4, 87/8, 0, 0, -5/4, 31/4, 0, 0, 0, -1/4, -1/2, -11/4, 
  -3/4, 0, 0, 0, 1/2, -5/4, 3/4, 3/4, -1/2, -2, 5/4, -7/2, -1/4, 3/4, -3/4, 
  3/4, 3/2, 5/4, 0, 1/4, 1/2, 1/2, -1/2, -1/2, -3/2, 3/2, 0, 0, 0, 0, -45/4, 
  5, 7/2, 7, -11/4, 1/4, 15/4, -13/4, 2, -7/2, 15/4, 2, 27/32, -9/32, 1, 3, 
  7, 183/64, -1/2, -3/2, -11/4, -61/64, -13/64, -9/4, 15/64, 0, 0, 0, 0, 0, 
  0, 3, 23/4, 27/2, 23/4, 1/2, 5/4, -7/2, 0, -15/4, 3/4, 3/2, 19/4, 7/2, 9/4, 
  -3/4, 7/2, 2, 9, 7, -9/4, -2, 15/4, 0, 0, 0, 0, 0, 0, 0, -27/2, -9, -3/2, 
  0, 0, 0, -27/2, -9, -3/2, 0, 18, 12, 2, -9, -6, -1, 0, 0, 0, 0, 0, 0, 0, 0, 
  21/2, 3/2, 21/2, 3/2, 0, 0, 0, -3/2, 0, 21/2, 9, 0, 3/2, 0, -14, -2, -14, 
  -2, 2, 7, 1, 7, 1, -1, 1/4, 1/4, 0, 0, 0, -5/4, 0, 3/4, -1/2, 0, 3/2, -7/4, 
  -11/4, 11/4, 1/4, -1/4, -9/4, 5/2, 0, -9/4, -27/4, -7/2, 1/2, 25/4, 23/2, 
  1, -13/4, -25/4, -1/2, 10, 23/2, -1/2, -35/2, -21/2, 5, -25/2, -19/4, 31/4, 
  9/4, 5/3, -15/8, -1/2, 1/2, -25/8, -239/24, -89/12, -107/16, -335/48, 
  241/24, 89/12, 65/16, 233/48, -1/12, 21/8, 21/4, 0, -1/4, 281/24, 731/48, 
  269/16, -455/32, -53/3, -2833/96, -1009/96, 37/32, 1/4, -19/16, -175/96, 
  113/32, 15/4, 0, -9/32, 1/2, 25/8, -67/4, -39/8, 1/2, -191/8, 431/24, 39/8, 
  3, 175/12, -29/24, -23/4, 37/6, 7/4, 1/4, 28/3, 87/16, -3/16, -409/12, 
  -63/8, -49/12, 509/48, -8, 1/4, -15/16, -35/48, 105/32, 79/32, 0, -9/32, 
  61/24, -235/24, 1/4, 319/24, -1663/48, 41/32, -287/12, 293/32, -7/4, -1/4, 
  -23/24, 181/48, -61/48, -1, 15/16, 235/48, 0, -1/8, -61/48, 175/64, -1/4, 
  3239/96, -128/9, 61/48, 1747/96, -1, -4291/192, -5/2, -11/4, 5/2, -1/4, 
  -39/8, 113/48, 171/16, 0, 3/8, 85/3, -41/6, -171/16, -19/8, -183/8, 215/48, 
  25/8, -7/12, -7/8, 1/4, 19/16, -395/48, -61/48, 9/2, 425/48, 121/12, -23/2, 
  -85/48, 5/8, 0, -1/8, 235/48, 1/16, 1229/48, 227/24, -1/8, -1/8, -105/16, 
  79/16, -655/64, -61/48, 10313/192, 3647/192, -3975/64, 157/8, 29/2, 
  -1141/96, 171/16, -5821/96, -3493/64, 4533/64, 3691/288, -53/4, 619/32, 0, 
  27/16, -14719/192, -6019/192, 917/64, 1227/32, 65/8, 4529/96, 4637/64, 
  -4321/64, -731/32, 661/48, 8539/192, -121/4, -115/16, 27/8, -1/16, 11/16, 
  19/12, 1/16, 1/4, 11/6, 49/3, -295/12, -1/2, 73/12, -343/6, 27/4, -139/6, 
  -13/2, -3/16, -77/48, -443/12, 1093/24, -13/16, -275/12, 5393/48, -33/8, 
  1271/24, 13/2, 1/8, 763/48, -359/24, 619/48, -2365/48, -715/24, 1/16, -6, 
  -71/12, -87/16, 51/4, 133/4, -237/16, 869/16, -12, 87/16, 187/16, -125/4, 
  223/16, -869/16, 12, -347/16, -2, 0, 0, 15/16, -18, 171/8, 54, -24, -15/16, 
  18, -27, -165/8, -45, 20, 54, -9, -27, -11/4, -35/4, -25/3, 87/8, 0, 0, 
  91/16, 207/16, 17/2, -195/16, 753/16, 3/2, -47/4, -729/16, 35, -133/4, 
  -1/4, 97/12, -287/12, 295/24, -3/8, -371/12, 119/6, 23/8, 323/24, -9/4, 
  5/2, -93/8, -23/24, -175/12, 57/8, 20/3, -455/12, 23/8, -79/6, 9/4, -107/8, 
  5/4, 13/6, -23/8, 247/12, -7/24, 87/8, 1/8, -5/2, 0, 481/96, -1829/96, 
  1055/96, -33/2, -11/4, 54, 295/16, -45/2, 257/4, -5/2, 0, 0, 0, -3/8, 3/8, 
  0, 0, 0, 0, 1/4, -5/4, 0, 0, 0, 1, 1/2, 0, 0, -1/2, 3/4, -3/8, -3/4, -9/2, 
  -27/4, 0, 1/2, 3, 9/2, 1, 6, 9, 3/8, -3/8, 9/8, -27/8, 1/8, -3/4, 13/8, 
  -7/8, 3/8, -3/8, 0, -27/8, 77/8, -49/8, 1/8, 119/8, -117/4, 103/8, -155/8, 
  141/8, 45/8, -9/8, 41/8, 33/4, 3/4, -11/8, 1/8, -3/8, 3/8, -1, -7/8, -1/8, 
  -9/8, -27/8, 17, 53/8, 27/8, -17/4, 65/8, 2, 1/8, 17/4, 37/4, 33/4, 27/8, 
  -187/8, -79/8, 67/8, 123/8, -7/4, -19/4, -11/8, 9/4, 31/8, -23/8, 7/8, 
  -3/8, 1/8, 1, -1, 0, 7/2, -17/8, 5/8, -3/4, 3/4, 63/8, -85/8, 17/8, 0, 
  -29/4, 25/4, 9/4, -63/64, 1/2, 45/16, 4, 21/64, 3/16, 3/4, -3/32, -3/8, 
  5/32, 3/8, -1/4, -7/8, -2, 0, 0, -3/4, -2, 27/4, -25/4, 9/2, 0, -3/8, 0, 
  -3/4, -3/4, 7/4, 12, -5/4, -9/4, -33/4, -21/4, 1/2, 39/8, 2, 0, -3/8, -1/2, 
  -3/8, 1/2, 0, -15/4, 15/4, 0, 9/4, -9/4, -1/2, 3/2, 0, -37/8, 3, 8, 27/4, 
  -47/8, -8, 0, -3/8, 15/8, 25/8, 19/8, 7/4, 25/8, 25/8, -77/4, -67/8, -35/4, 
  -7/2, 13/4, 49/4, -11/8, -3/8, -43/8, -83/8, -9/4, -21/8, 63/8, 10, 19/2, 
  -11/2, -17/4, 7/4, 11/2, 1/2, -13/4, 47/8, 9/4, -5/8, 0, 3/8, 0, 1/8, 37/4, 
  -3/4, -15, 19/8, 19/4, -25/8, -39/8, -181/8, 97/8, -4, 27/8, 5/4, 3/2, 7/4, 
  -4, 3/4, -63/8, 3/4, 7/8, -11/8, 2, 19/4, 113/8, -3/4, -159/8, 17/8, 59/8, 
  17/8, 121/8, -1, -35/8, -27/8, -135/8, 47/8, 23/8, 1, -19/2, -9/8, 19/4, 
  9/4, -3/8, 3, 0, -1/2, -3/4, -33/8, 0, 0, -9/8, 13/2, -93/8, 21/4, 1, 5/8, 
  15/8, -121/16, 179/16, -25/8, -2, 7/16, 151/16, -211/16, 7/4, -51/16, 
  -107/16, -3/8, 19/8, 1/2, 41/2, -89/2, 317/8, -121/8, -7/2, -361/16, 
  753/16, -275/8, 3/8, 1, -205/16, 7, 29/16, -35/8, 81/8, -75/8, -73/4, 67/4, 
  -19/2, 175/8, -27/4, -23/2, -99/8, 87/8, 503/8, -261/4, 13/8, -947/8, 
  463/8, 111/2, 27/8, -27/8, -27/8, 51/8, 15/4, 63/16, 7/16, -7/8, -79/8, 
  -77/32, 6, -71/16, 5/4, -17/4, -5/32, -11/8, -75/16, -7, 5/8, 53/32, 
  -51/32, 1, 73/32, -35/4, -25/16, -93/32, 5/4, 43/32, 23/4, -11/8, 21/16, 
  51/16, 1/16, 467/32, 127/16, -15/16, -39/16, 3/8, -121/32, -2, 9/16, 
  -135/32, -41/16, 0, 33/32, 197/16, 191/16, -357/16, -189/32, -75/4, 379/32, 
  119/8, -69/32, 11/16, -3/16, 177/32, -721/32, -59/16, 261/32, 75/8, -41/16, 
  27/8, -49/16, 99/16, 25/8, 29/16, 5/2, 5/8, -203/8, -291/16, 5/16, -43/8, 
  -13/4, 83/8, -85/8, -33/2, -3/2, 153/4, 425/8, 105/8, 71/2, 133/8, 11/8, 
  -303/8, -213/16, -1/2, -1/4, 407/8, 111/8, 135/4, -1/8, 5/4, -9/4, -49, 
  -233/8, 5/2, -9/8, 9/8, 9/4, 9/8, -11/16, -19/16, -7, 3/8, -3/8, 2, 149/32, 
  149/32, -3/8, -5/8, 7/32, 43/32, 75/32, -15/8, -15/4, -77/16, 13/4, 71/32, 
  -3/8, 9/4, 51/8, 155/8, 93/8, 1, -183/32, -15/32, -265/32, 9/8, 17/2, 
  -17/8, 6, 5/32, -5, -31/32, -4, -85/8, -1/4, 253/32, 23/2, 3/4, -39/32, -5, 
  -37/32, -15/16, -3/4, -155/32, -3/2, 9/16, 3/8, 1/2, -1, -403/32, -151/8, 
  -81/8, 125/16, -41/32, 93/8, 53/4, -221/16, 79/16, -5/32, 6, -113/32, -1/4, 
  -43/16, 225/32, 1397/32, 161/4, -13/2, 243/16, -343/32, 151/8, -171/32, 
  -81/8, 7/4, -437/32, -583/16, -43/8, -141/16, -79/16, 45/16, 67/8, 65/16, 
  -19/8, 129/16, 121/16, 131/16, -75/8, -241/16, -21/16, 53/16, 69/8, 47/8, 
  1/4, -247/16, -31/2, 239/16, 23, 319/16, -49/8, 63/16, 7/16, -123/16, 
  55/16, 251/8, 6, 33/4, -133/4, 23/8, 23/8, -511/8, -141/8, 61/2, 65/2, 
  -27/8, -9/8, 9/16, 1/2, -9/8, -5/16, -7/8, 33/32, 9/8, 37/8, 11/8, -49/32, 
  -161/32, -17/16, 23/32, 23/16, 17/16, 67/4, 93/8, 1/8, -17/16, -81/32, 
  -289/32, 3/8, 161/32, 1, 7/8, -63/32, -31/16, -13/4, -85/8, -1/4, 27/8, 
  55/4, 0, -91/32, -7/4, -13/32, -15/16, 0, -167/32, -3/4, 9/16, 0, -37/16, 
  -17/8, -11/16, -33/4, 2, 329/16, 11/4, 121/16, -67/8, -71/16, -133/32, 
  15/4, -387/32, 4, -1, 57/8, 643/32, 227/8, -181/16, -51/4, -111/32, 21, 
  541/32, -115/8, 63/16, -135/16, -433/16, 3/2, -7/2, -33/4, -13/16, 55/8, 
  25/16, -13/8, 0, 51/16, 267/32, -115/16, -203/16, 379/32, -21/8, 153/8, 
  41/2, -155/8, -59/8, -647/32, 343/16, 195/8, 291/16, -21/2, 115/16, -12, 
  -275/16, 71/16, 3/16, -21/4, 335/16, -41/4, 141/16, 157/8, -355/8, -393/8, 
  13, 717/16, -29, -155/8, -3/2, 45/2, -27/8, 0, 0, 0, 0, -27/32, -99/32, 
  -8/3, 9/16, 1/2, 3/32, -491/192, 107/16, 2123/192, -53/16, 1223/48, 
  965/192, -45/64, -2193/64, -73/48, 273/32, -223/48, 4565/192, -2417/192, 
  161/16, 113/96, -2761/48, -11/64, 795/32, 2015/96, -69/8, -587/192, 
  -2849/192, -149/16, 2433/64, 1345/96, -639/32, 3083/192, 27/16, -335/32, 
  7/8, -29/24, 15/16, 3/8, -1/4, 0, 33/16, 203/48, 89/24, 1/4, 109/24, 63/8, 
  -97/48, -89/24, -1/4, -329/48, -141/16, -53/24, 35/32, 51/16, -9/8, -35/32, 
  -7/8, 0, -1/8, -293/48, -695/96, -9/16, -509/32, -1/16, 25/4, -533/96, 
  979/48, 83/8, -43/16, -19/8, 53/24, 0, 19/32, 3/16, 305/24, 16/3, 659/64, 
  65/96, -89/192, 0, -25/32, -51/64, -1/8, 55/96, 33/16, 887/96, 1087/96, 
  -1189/128, -1297/64, -3515/384, 97/32, -5/16, 35/6, -1073/64, -3937/192, 
  20593/384, 8309/96, 8483/384, -13/16, -453/64, 283/96, -5677/192, -755/48, 
  23/8, 131/64, 1/4, -7/8, -147/32, -1009/96, -683/192, -1429/384, -9737/384, 
  -1239/64, -157/8, 253/12, -343/96, -2407/128, 661/24, 4073/384, -949/48, 
  443/24, -187/16, 169/32, 171/16, 3151/192, -11531/384, 8003/384, 1001/32, 
  -12085/192, 565/96, -1835/64, 8929/192, -427/32, 357/16, -53/16, 59/32, 
  -9/2, -1/4, -25/16, 67/8, 39/16, -3/8, 587/48, -323/48, -39/16, -9/16, 
  -109/12, -79/48, 47/16, -19/12, -7/4, -1/8, -59/12, -75/32, -1/8, 37/48, 
  761/96, 21/8, 1/8, -17/16, -1/24, 39/32, 7/24, 0, 0, 15/32, 5/16, 121/12, 
  9/16, 239/96, -439/48, 107/24, 0, -21/32, -19/64, 1/4, 57/16, 243/32, 
  175/12, 1087/96, -2, -775/96, -833/48, -3019/128, 155/8, 1251/32, 
  -4329/128, -797/32, -1139/32, 41/8, -1/8, -217/32, -189/8, -4181/192, 
  -289/32, 527/48, 46469/384, -5147/96, 45623/384, 3517/48, -25/16, -73/16, 
  251/32, 1241/48, -3293/32, -1643/24, 29/8, 123/64, 4603/192, -7/8, 5/8, 
  -785/96, -1265/192, -2321/384, -5, 485/96, 24067/384, 45/16, -15305/384, 
  223/32, 263/16, -139/24, -16327/384, 2659/96, -4445/48, -22873/384, 
  -1831/48, 16841/192, 10811/192, -3637/192, -11/4, -4217/192, -6437/192, 
  51/32, 613/16, -27/8, -963/32, 7869/128, -643/384, 5053/192, 9/4, 
  12347/384, 89/32, -165/64, -37/8, 1/16, -5/16, 15/16, 43/48, -5/2, 0, 
  -47/16, 0, 0, -133/32, 8, -253/16, 133/12, 21, 749/32, -61/2, -399/32, -56, 
  -65/8, 137/32, -121/32, 121/8, 103/24, 529/24, -9461/96, 77/12, -959/12, 
  -463/24, -27/8, -1217/32, 56/3, -257/6, -1813/48, -21/2, -295/24, -1/32, 
  1/8, -3/4, -19/24, -43/96, 41/32, 0, 47/32, 0, 0, -1/8, 0, 3/8, -3/8, 3/2, 
  3/4, -209/24, 143/12, -1/4, -229/24, 189/8, 38/3, -11/8, 299/24, 311/12, 
  -13/8, 139/12, 13/4, 1/32, 31/96, 727/96, -8, 15/32, -1/8, 413/48, -141/16, 
  -451/16, 7/16, -8/3, -413/8, 19/16, -1355/48, -13/4, 5/12, -15/16, -703/96, 
  -39/16, -33/32, -489/32, 193/16, -293/48, 91/4, 799/48, -23/12, -1/4, 
  63/32, 41/32, 83/24, 71/24, 47/32, 0, 0, 0, -133/32, -215/8, 473/64, 
  -214/3, -113/32, -1511/24, 275/32, -869/64, -165/16, 2465/96, 1727/48, 
  29/24, 14393/192, -8849/192, 9679/192, 3325/96, -409/12, -925/96, -3935/64, 
  -3515/192, 1967/32, 61/16, -241/96, 2587/48, 8, 713/192, 177/16, 9089/192, 
  79/24, -731/8, -313/48, 3121/64, 51/16, -703/48, -10261/96, -263/48, 
  1025/12, -1435/64, -131/32, 4541/64, 655/48, 473/16, 103/8, 6431/192, 
  341/48, -111/4, -221/4, -997/48, -1507/192, 503/16, -439/48, -41/2, 3/2, 
  919/48, 9/2, 85/32, -17/3, -1151/96, 15/32, 37/4, -779/24, -287/12, 27/2, 
  -209/8, 17/4, -1/32, -343/32, -47/12, -39/16, -19/8, -829/96, 1087/48, 
  -107/16, 209/8, -17/4, -43/96, -1/4, 63/32, 389/32, 61/48, 0, 47/32, 0, 0, 
  0, -5/32, 3, -9/8, -441/16, -651/64, 5463/64, -717/16, -473/64, -8751/64, 
  -95/16, 3/2, 1019/64, 261/16, 1159/32, -355/32, 707/48, 5143/64, 559/32, 
  7807/96, -35/12, -215/32, 449/48, -5/2, -2171/96, -1717/64, 2809/96, 29/32, 
  -313/96, 2621/48, 31/4, 5/32, -3, -171/8, -27/16, 23/64, -4431/64, 123/16, 
  261/64, 4839/32, -125/16, -1049/64, 481/32, 263/16, -159/8, 1381/16, 
  119/48, -427/96, -583/32, 16477/192, 52/3, 18, 123/2, 3, 423/8, 1229/64, 
  -1519/48, -583/8, -6657/64, 4289/96, 9/2, -129/4, 21/4, 1141/24, -3/4, -2, 
  -3/2, -9/2, 47/8, 99/16, 123/16, 9/2, 9/8, -183/16, -69/16, -99/16, -27/8, 
  13/4, 1/8, 17/4, 49/16, -2, 7/4, 21/4, 43/4, 9/2, -9/8, -135/8, -99/8, 
  -247/16, 13, 549/32, 81/16, -239/32, 95/32, -169/32, 5/8, -17/16, -57/8, 
  -37/4, 39/16, 319/16, 141/16, -569/32, -295/32, -7/16, -2, -17/16, 31/8, 
  -29/32, -8, 51/16, 7/4, 9/8, -1/32, -3/8, 3/4, 1/4, -79/16, 21/8, -27/4, 
  -7, 97/16, -21/8, 225/16, 423/16, -9/8, -49/8, -315/16, -31/16, -13/8, 
  53/16, 53/16, -21/8, 1/2, -33/2, -25/8, 21/16, -81/16, 13/8, 75/16, 21/4, 
  -7/4, 3/2, 31/4, 21/16, 17/8, 293/16, 11, 7/16, -219/4, -11, -195/8, 
  583/16, 349/16, -189/16, -83/2, -11, 477/8, 463/16, 161/8, 371/16, -53/16, 
  -167/16, -83/8, -91/8, 325/8, 91/8, -121/4, 53/2, 91/8, -371/8, -129/8, 
  9/4, -9/4, -9/4, 3/4, 19/8, 3/2, 9/2, 3/16, 7/16, -35/8, -5/16, -15/8, 
  9/16, -43/8, 43/32, -135/16, -37/8, 125/16, 155/32, 189/32, 7/2, -87/32, 
  -9/8, -13/4, -37/4, -3/4, 25/16, 35/8, -83/16, 27/16, -23/8, 51/8, -61/4, 
  -7/2, 45/16, -5/8, 1/16, 31/8, 1/4, -29/16, -2, -63/32, -273/32, 113/16, 
  11/8, 9/8, 5/16, 5/32, 1/16, -3/8, 3/8, -7/16, 77/16, 10, -21/8, 5/16, 
  -167/16, 13/8, 1/4, 3/2, 21/16, -5/16, -23/2, -531/16, -11, 1, 517/16, 
  113/4, -3/2, -283/16, 13/16, 63/16, 23, 91/8, -111/8, -415/16, 159/16, 
  -45/16, -9/4, 45/16, -3/16, -3/16, 3/16, -3/16, 3/8, 3/8, 1, 97/16, 15/16, 
  21/16, -15/16, -27/8, -235/32, -3, 29/4, 3/2, 59/32, -225/32, 11/16, 23/32, 
  5/16, -1/16, -1/8, -23/16, -3/16, 7/16, -47/8, -79/16, -21/16, 13/8, 
  369/32, 245/16, 5/32, 53/32, -295/32, 3/8, 9/16, 9/16, 5/8, 11/16, 99/8, 
  39/8, -51/16, -21/2, -37/4, -3/4, 7/16, -1/4, -67/32, -215/32, 25/16, 1/16, 
  -3/8, 7/32, 3/16, 5/8, -89/16, -189/16, -71/8, -13/4, 403/16, 311/16, 
  -51/8, 227/16, -37/4, -181/16, -57/2, -427/16, 149/16, -3/4, 263/16, 
  341/16, 55/16, -289/16, -191/4, 23/4, 145/8, 241/16, 95/4, -19/16, -243/16, 
  -119/16, 29/2, 91/16, -47/8, 21/16, 31/8, 8, 0, 111/16, 363/16, 21, 
  -463/16, -339/8, 307/16, 22, 635/16, 187/16, -431/16, -715/16, -171/16, 
  143/8, -31/2, 129/16, 433/16, 16, 55/2, -113/16, -121/16, -163/16, 20, 
  -361/16, -125/8, 197/16, 59/8, 11/16, -19/4, 99/16, 3/16, 0, -15/8, -3/16, 
  -1/4, -5/8, -65/16, -7/16, -3/8, 19/16, 283/32, -19/8, 49/32, -11/8, -1/8, 
  7/8, 5/8, 3/8, 99/16, 27/4, -13/16, -81/8, -49/32, -1/2, -1/8, -1/4, -23/8, 
  -221/32, 41/32, 1/4, -3/8, 19/32, 3/16, 3/4, 2, 3/2, 9/2, 1/8, -41/8, 
  -67/16, -99/16, -13/8, 101/16, 1/8, 17/8, 49/16, -3/2, -7/16, 13/16, 15/16, 
  -15/2, 39/8, -327/16, 173/16, -81/8, 659/32, -143/32, -5/16, -117/16, 1/8, 
  285/16, -51/4, -713/32, 9/4, 59/16, 195/32, -11/16, -3/4, -1/4, 79/16, 
  -21/8, 51/8, 27/4, -9/8, -129/16, -315/16, -37/16, -27/8, -137/8, -13/8, 
  223/8, -367/8, -99/8, 29/2, 47/8, 46, -47/16, -17/8, -293/16, -11, -41/16, 
  583/16, 349/16, 261/16, 167/8, 191/8, -33/4, 83/8, 91/8, -121/4, -213/16, 
  -9/4, 3/4, 2, 3/2, 9/2, -47/8, -99/16, -123/16, -9/2, -9/8, 183/16, 69/16, 
  99/16, 27/8, -13/4, -1/8, -17/4, -49/16, 2, -1, -13/4, -37/4, 23/16, 
  179/16, 237/16, 83/8, 1/16, -135/8, -343/32, -171/16, -17/16, 719/32, 
  -13/4, 47/16, 33/16, -1, -5/8, 1/16, 31/8, 3/16, 9/16, -73/8, -9, -21/16, 
  133/32, 2, -49/8, 33/8, 57/16, 11/8, 9/8, -9/16, 1/32, 45/8, 13/4, -17/4, 
  -73/8, -3/8, 1/2, -1/4, 19/16, 1/16, -3/4, -1/4, 79/16, -21/8, 27/4, 7, 
  -97/16, 21/8, -225/16, -423/16, 9/8, 49/8, 315/16, 31/16, 7/8, -57/16, 
  13/8, -19/2, -103/16, -469/16, 13/8, -7/16, 3/2, 179/16, 81/16, 99/16, 
  21/16, 1/16, 23/16, 7/4, -17/8, -293/16, -11, -7/16, 219/4, 11, 195/8, 
  -583/16, -349/16, 155/16, 371/16, -373/16, 515/8, 149/8, -167/16, 285/16, 
  -163/8, -101/16, 83/8, 91/8, -325/8, -91/8, 121/4, -129/8, 43/2, -519/16, 
  -161/16, -9/4, 9/4, -9/4, -3/64, -7/16, -455/256, 939/256, 21/16, 9/16, 
  35/32, 1/4, -27/8, -65/16, -47/32, -21/32, 187/32, 49/16, -75/32, 1/64, 
  -5/8, 493/256, -249/64, -15/4, 7/16, 7/8, 29/32, -23/32, 53/16, 143/32, 
  11/8, 25/256, 71/16, 1/16, -3/2, 159/32, -21/16, -15/16, -9/32, 9/16, 9/4, 
  -7/16, 3, -17/8, -11/16, -37/8, 31/16, 9/16, -3/16, 11/16, 59/16, -3/2, 
  -43/16, 1/16, -99/16, -33/16, 3/4, 139/16, -17/16, 35/4, 5/8, -89/8, -9/8, 
  7/16, 51/16, -3, 11/16, 15/16, 19/16, 3/16, 63/16, 39/16, 63/16, 111/16, 
  -37/16, -15/16, -73/16, -633/32, -11, 93/16, 263/32, 15, -75/16, 9/16, 
  -11/8, -7/4, -3, -21/16, 5/8, 37/8, -49/16, 43/16, 9/8, 391/32, 55/4, 
  -7/16, -341/16, 17/8, 7/16, 1/16, -11/8, -115/32, -1, 1/16, -29/16, 115/16, 
  -3/16, 3/8, -1/8, -2, -1/4, -3/2, -9/4, 115/16, 9/4, 7/16, 17/8, 79/8, 
  25/2, -131/16, -65/16, -37/4, -213/16, -179/16, 97/16, 77/4, 71/16, -35/16, 
  -12, -11/16, -5/16, -61/8, -1/2, 51/2, 185/16, 563/16, -105/8, -303/16, 
  117/8, 11/16, 145/16, 5/16, -45/2, -65/16, -345/16, 11, 1/8, -19/8, -49/16, 
  51/16, 1/8, -11/16, -13/16, 59/16, 3/16, 1/4, -11/8, -5/8, -35/4, -21/16, 
  -43/16, 35/8, -71/4, 153/16, 23/2, -143/8, 253/16, -115/8, 63/4, 119/16, 
  -13/16, 61/16, 35/16, -457/16, 135/16, -89/4, -383/16, 5/8, -93/16, 159/16, 
  367/16, 97/8, 13/16, 63/16, -123/16, -7/8, 17/8, 11/8, -1/16, -11/2, 
  -151/16, 159/16, 67/16, 105/8, -149/16, -33/4, -13/2, 153/16, 71/4, -69/8, 
  139/8, 25/8, -77/16, 19/8, 5/4, -3/8, 19/8, 91/16, -1/8, -133/16, 3/8, 
  -3/2, -51/8, 69/8, 15/8, -9/8, 9/8, 0, 0, 7/16, 17/8, -13/4, -3/4, -5/8, 
  -31/16, 39/32, 67/16, 103/16, 5/8, -89/32, -209/32, -1/4, 23/32, 0, 13/16, 
  -27/16, 27/16, 45/16, -1/16, 3/4, 7/16, -149/32, -3/8, 5/8, 91/16, 17/16, 
  -233/32, 11/16, -29/16, 11/16, -65/16, -3/16, -57/32, 67/16, -1/8, -297/32, 
  -11/8, 21/16, 15/16, 0, 3/32, 0, -9/16, -1/16, -1/2, -3/2, 21/8, -5/8, 1/2, 
  13/16, -1/32, -21/8, 51/16, -81/16, -7/8, 49/32, -25/4, 219/32, 9/16, 
  43/16, -71/32, 1, 5/16, -5/16, 15/8, -5/4, 9/8, 9/4, 77/8, 161/16, -3/8, 
  -83/32, -193/32, -149/32, 51/16, 7/4, 21/8, -27/16, 45/32, -11/16, -11/16, 
  9/8, 9/16, 5/16, -5/32, 3/32, -131/16, 3/8, 277/32, 121/32, -25/32, 
  -239/32, -1/4, 3/16, -9/8, -11/16, -55/32, 3/4, 1/32, -11/32, 115/32, 3/16, 
  0, -1, -5/16, 1/8, 67/16, -41/8, -9/4, 1/2, 109/8, -69/4, 97/32, 23/32, 
  -29/16, -333/16, 27/4, -101/32, -25/16, 711/32, 91/16, 25/8, -169/16, 
  11/16, -5/16, 5/4, 11/16, 5/8, 61/8, -25/16, -301/32, 167/16, 345/32, 
  443/32, 743/32, -39/32, -343/16, 19/8, 109/16, 21/16, -73/16, -109/32, 
  -53/8, -15/32, 111/16, -279/32, -285/32, -11, 17/4, -15/8, 17/8, 1, 59/32, 
  5/32, 41/16, 17/16, 11/16, -1/4, -3/16, -1/4, 9/4, -109/8, -663/32, 21/16, 
  -10, 251/16, 283/16, 445/32, 29/4, 81/32, -43/32, -1/2, 37/4, -119/16, 
  13/8, 27/2, 1677/32, -1/8, 579/32, -901/32, -853/32, -359/16, -783/32, 
  221/16, 3/4, -315/16, -153/16, -41/16, 725/32, 169/8, -5, 7/4, -95/32, 
  23/8, -77/16, 651/16, 317/8, 11/2, 55/16, -693/16, -201/8, 27/8, 161/16, 
  33/4, 33/16, -1163/16, -229/8, 121/8, 225/4, -273/8, 175/16, 575/16, 
  -165/8, -131/16, -247/8, -155/8, -91/16, -5/8, 61/16, -3/8, 233/4, 49/2, 
  -27/8, -219/8, -9/4, 9/8, -9/8, 9/4, 1/12, 9/16, 0, 1/4, -11/24, -9/16, 0, 
  -1/32, 3/8, 0, -7/32, 0, 0, 1/16, 21/32, 15/32, -1/16, 103/96, 1/4, 3/8, 
  1/16, 33/32, 3/2, -7/32, 4/3, 0, 1/16, -3/16, 1/16, 55/64, 3/32, 107/96, 
  77/64, 4/3, 0, 0, -9/32, -19/64, 3/4, 145/48, 593/96, 655/96, -3/8, 
  -163/96, 107/96, -2369/384, -223/96, 17/8, 805/48, -1097/128, -5797/384, 
  -91/32, -877/48, -5575/384, -1/8, 89/16, -11/16, -13/16, -947/96, -1405/96, 
  -99/32, -163/96, 14161/384, 631/64, -1909/96, 12227/384, 6311/192, 1573/48, 
  1295/96, 21/32, -5/8, -1/8, 155/32, 205/16, -3439/144, -865/36, -445/24, 
  -19919/384, -1323/128, 11/8, 9/8, -191/576, 3839/144, 1645/64, -3/8, 
  -4147/576, 3/8, -7/48, 253/192, -1865/384, -19/8, -1/6, 9499/384, 877/384, 
  131/16, -6485/384, -173/96, -261/32, 19/16, 119/16, 129/32, -47/8, 
  -4607/384, 223/96, 245/48, -7795/192, -4233/128, -9481/384, -653/96, 
  -303/32, -209/16, 3937/144, 281/96, 355/16, 1927/32, 773/32, 1415/576, 
  -5501/288, -3499/96, 4147/576, 1/4, -1997/192, -3383/192, -215/32, 1319/96, 
  -1273/384, 159/16, -95/16, -33/4, -213/32, 16813/384, 1343/384, -1091/128, 
  4357/384, 775/32, -721/96, -3223/128, -2767/128, 265/24, 11/8, 6659/384, 
  23/32, 161/16, 3/8, -2609/192, -3779/384, -497/32, 1241/192, -19/8, 9/8, 
  1/8, 1/32, 5/12, -25/96, 3/32, -5/32, -35/24, -13/96, 3/32, 1/4, 13/6, 
  -2/3, -13/16, 0, 43/96, -45/32, -21/32, -1/32, -11/8, 59/48, 9/16, 1/8, 
  35/96, 55/48, -7/16, 0, -47/32, 0, -43/96, 0, -21/32, 41/32, -23/48, 0, 0, 
  47/32, 0, 0, 5/96, -5/8, 5/8, -135/16, 9/4, -55/64, 1849/64, -533/32, 
  195/32, -13/96, -487/8, 15, -1115/192, 2247/64, 101/16, -1/32, 601/192, 
  143/24, 313/32, -283/48, 89/64, 1859/96, -5/8, -297/16, 61/32, 257/192, 
  -49/2, 311/48, -5609/192, -143/16, 5/24, 1337/192, -359/96, 221/96, 
  -379/48, -7459/192, -1327/96, -1325/64, -351/32, 839/32, 13/24, -397/32, 
  -131/32, 225/64, 47/12, 615/16, -35/32, 7/16, 33/16, 0, -5/96, 5/8, -41/4, 
  61/32, -21/16, -667/192, -1605/64, 167/16, 147/16, 799/192, 46, 273/32, 
  -125/16, -1267/64, -43/8, -101/32, 341/32, 139/16, 93/32, 10987/192, 
  -49/12, -2045/192, -22445/192, 2477/64, 991/192, -31/32, -217/12, 5735/192, 
  -5815/96, 531/32, 241/64, 19/8, -1811/96, -9/2, 175/16, 363/32, -11/2, 1, 
  667/32, 239/32, 1229/64, 181/32, -59/24, -987/32, -113/16, -1133/96, 
  -148/3, -2241/64, 1273/96, 277/24, 4591/96, -761/96, -3/2, -89/16, 91/16, 
  21/4, -121/8, 1051/48, -33/8, 47/4, -703/48, -9/8, 9/4, 3/8, 1, 3/4, 9/4, 
  -47/16, -99/32, -123/32, -9/4, -9/16, 183/32, 69/32, 99/32, 27/16, -13/8, 
  -1/16, -17/8, -49/32, 1, -1/2, -13/8, -37/8, 3/16, 7/8, 199/32, 45/8, 
  119/16, 1/16, -321/32, -119/16, -253/32, 1/8, 147/16, 163/32, -5/16, 91/16, 
  -27/16, -5/16, 1/32, 31/16, -1/8, 7/32, -7/2, -55/8, 1/2, 313/32, 399/32, 
  -269/32, -179/32, -143/32, 11/16, 9/16, -13/16, -29/32, 21/16, -77/32, 
  -137/16, 15/8, -3/16, 15/16, 3/8, 15/32, 0, 3/8, 15/8, 127/32, 51/16, -7/4, 
  -11/16, -295/32, 21/16, -9/8, -23/32, -419/32, 9/16, 9/4, 49/8, 315/32, -2, 
  31/32, -21/16, -225/32, -159/16, -9/2, 3/8, 127/16, 705/32, 137/32, -27/32, 
  -423/32, 119/32, -55/4, -55/16, 27/8, -5/8, 27/32, 63/8, 37/4, -93/32, 
  -847/32, -83/8, 709/32, -75/32, -21/16, 2, 55/32, -31/8, 45/16, 365/32, 
  155/32, -7/4, -9/8, 9/32, 3/8, -3/4, -21/16, -135/32, -65/8, 6, 209/32, 
  105/4, 11/2, -129/16, -15/2, -583/32, -31/16, -349/32, 13/8, 49/32, 265/32, 
  21/8, 23/32, -445/8, -855/32, 295/32, 191/32, 35/4, -21/16, -5/32, -13/8, 
  221/16, 445/16, 1089/32, 7/4, -3/2, -497/32, -21/16, -17/8, -105/8, -85/16, 
  -41/16, 129/8, -91/16, 349/16, 121/8, 189/16, 535/16, 11, 597/16, -255/16, 
  -471/16, -161/8, -371/16, -461/16, 167/16, 83/8, 41/4, -121/4, 9/8, -53/2, 
  -91/8, 511/16, 129/8, -9/4, 9/4, 5/2, -1, -3/2, 1/2, 1/2, 2, -3/2, -1, 0, 
  0, 0, 0, 1/4, -29/2, 0, 57/4, 15/2, -7, -21/2, -45/2, -57/2, 9/2, -5/2, 5, 
  -27/2, 9, 3/2, 45/4, 11/2, 45/2, 73/2, 2, -139/8, -273/8, 639/8, -5, 144, 
  0, -1, 9/2, 5, 0, 3/2, -15/2, 0, 3, -3, 3, -3, 0, 0, 139/8, 273/8, -639/8, 
  17/4, 81/4, -127, -93/2, -35/8, -273/8, 639/8, 99/8, -113/8, 817/8, 85/4, 
  3/4, 292/3, -227/2, 36, -18, -83/6, 0, 5, -99/8, -273/8, 639/8, 285/4, 
  -16/3, 262/9, -11/2, 201/16, -309/8, 0, 417/16, -17/4, 27/2, 63/4, 27/2, 
  -83/12, -27/2, 1033/24, 6953/144, 15/8, -33/4, -15/8, -81/4, -216, 20, 216, 
  27/2, -9, -33, 18, 45/4, 11/2, -3/16, 9/16, 3/2, -1/2, -2, 0, 0, -99/2, 27, 
  3, 15/4, -15/4, 0, 69/2, -18, -4, 4, -135/4, -26, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 933/8, -15/4, -150, -15/8, 0, -381/2, 
  15/8, 15/8, 15/8, 189/8, 357/4, -109/8, -357/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -3, 1, -61/4, -3/2, 45/4, -3, 0, 1/2, -45/2, 0, 39/4, 1, -159/8, 0, 167/8, 
  1/2, 15/8, -45/8, 15/4, 21/2, -22, 0, 10, -39/8, 15/8, -10, -3, 11, 3, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15/8, 51/4, -15/8, -9/2, -112, -3/4, 112, 
  97/4, 149/8, -117/8, 79/8, 8, 47/4, -8, -173/8, 139/8, 8, 0, -109/4, 5, 0, 
  1, -3, 0, -3, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -7, -40, 21/2, 0, 
  -21/2, -15/4, -45/4, 15/4, -15/8, 0, 15/8, 0, 9, 15/8, -9/4, -15/8, -33, 
  -1913/24, -9, 469/8, -15, 3, -8, 0, -3, 8, 30, -18, -8, 27/4, 683/24, -42, 
  -363/8, 20, 533/8, -127/2, -6287/48, 347/16, 759/16, -2, 1, -11/4, 15/4, 
  9/32, 3/32, -3/32, -9/32, -21/8, -11, 91/8, -9/4, -9/32, -3/32, -9/16, 
  27/16, 1/4, -1, 1/4, 1/2, 1, 0, 2, -4, 0, 3/4, 0, 0, 121/4, -125/4, 121, 
  401/2, 1915/4, -270, 4, 14, -1/2, 67/4, 49/4, -45/2, -461/8, 1667/8, 
  -531/8, 188/3, -77/2, -111, 1/2, -7, 0, 0, 0, -4/3, -11/2, 131/18, 0, 4, 
  -131/6, 9/16, -27/16, 0, 0, 17/4, 17/8, 0, -497/16, -497/32, 4, 83/24, 0, 
  -1619/48, -1687/48, -131/6, -9329/288, 0, 467/32, 32/3, 64/9, -129/32, 
  -2567/144, -133/2, -41/48, 52919/1152, 18755/1152, -75/32, -65/6, 0, 15/32, 
  -53/9, 65/6, 381/32, 53/9, -321/32, 929/24, 9, -1885/144, -1007/24, 
  1741/144, -6, -9, 5, -1/2, -911/64, 52, 1981/288, -541/12, 4237/576, 
  -232/9, 15/4, -2053/72, -9/2, -1957/144, -1447/36, -5/2, -139/24, 105/8, 0, 
  587/8, -883/12, 65/8, -283/12, 77/2, -3, 129/4, -67, 389/2, 195/4, -5133/8, 
  -162, 9/32, -27/32, -3/16, 3/16, 9/16, 27/2, -9/2, 9/2, -3/4, -45/8, -39/4, 
  25/8, -15/2, -27/16, 9/16, -15/32, 3/16, 81/32, -9/32, -9/32, 27/32, 27/32, 
  9/8, -27/8, 15/8, -33/8, 9/8, -21/4, 17/32, 19/8, -53/16, 0, -201/32, 
  -39/16, 5/4, -13/8, 323/32, -299/32, -11/4, -7/32, 3/4, -11/24, 21/8, 
  113/8, 7/96, 105/32, -7/96, -3/32, -3/4, 1/16, -3/32, 5/4, -11/4, 3/4, 
  -17/8, -7/48, -17/32, 85/8, 107/32, -5/16, 1/2, 29/8, 27/4, -1/4, 25/8, 0, 
  5/4, -2, 9/4, -9/2, -1, 1, -3/2, -29/4, -11/4, 2, 4, 387/16, -1/2, -21/2, 
  -1/2, 129/16, 1/4, -3/2, 71/16, 207/16, -5/16, -51/8, -1/16, 33/16, 
  -139/12, 7/16, 27/8, 105/4, 0, -177/16, -85/8, 51/16, -41/8, 43/8, 6, -1/8, 
  -155/32, -5/8, -39/32, 11/8, -133/8, -11/32, 201/32, 61/32, -63/32, 21, 
  -83/32, -23/4, -5/4, 11/4, -1/2, 29/8, -9/2, -65/16, -211/16, -1/2, 11/4, 
  -25/32, -3/32, 11/4, 61/64, 27/16, 3/8, -183/64, 1/2, -27/16, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -655/16, 139/12, -367/3, -207/8, 
  831/8, 2855/24, 3/4, 13547/48, -491/24, -137, 3737/96, -3809/32, -28361/96, 
  -105/8, -753/32, 0, -10/3, -881/32, 525/32, -879/8, 2641/32, 9/4, 61/8, 
  235/8, 201/8, -535/4, -273/8, 639/8, -41/8, -27/2, 24, 0, 0, -9/2, 0, 0, 0, 
  0, 0, 0, -9/4, -3/2, 0, 3/4, 5, -183/16, -73/8, 183/8, -9/2, 33/8, 39/4, 3, 
  0, -17/2, -37/2, -3, 53/8, 35/4, -3, -131/16, -65/8, 123/16, 65/8, 1, 31/2, 
  -61/4, -15/8, 39/8, 0, -15/8, 21/8, 0, -13/16, -4, 0, 7/4, -21/8, 33/8, 
  1/16, -7/8, 5/8, 65/16, -39/4, 31/8, 201/16, 39/4, 1/4, 3/4, -9/8, 25/8, 0, 
  -9/8, 27/4, 27/8, 0, -65/16, -9, 0, 9/2, -9/2, -5/8, -15/8, 27/8, -15/16, 
  -17/6, 23/8, 367/48, 5, 1297/48, 31/8, -173/6, 57/4, -7/4, 257/12, 1777/48, 
  -139/24, -16, -213/16, 593/24, 9/4, -105/4, 0, 19/8, 13/4, 43/4, 4, -91/8, 
  -23/4, 0, 0, 0, 0, 0, -1709/48, 2501/48, 197/48, 338/3, 233/12, -17/6, 0, 
  0, 0, -139/24, -1127/48, 97/4, 105/8, 29, 0, -25/8, 735/16, -173/6, 161/3, 
  -79/3, 2/3, -53/8, 6, -61/8, -6, 57/4, 69/8, -47/4, -315/8, 387/4, 321/8, 
  -639/8, -177/8, 1245/16, -141/8, 393/16, -66, 1825/16, -1555/8, -1491/8, 
  -1107/8, -735/8, -2143/8, 993/16, 172, 0, 0, -3, 0, 0, 0, 1, 0, -2, 41/24, 
  -325/24, 119/24, 139/4, -229/24, 1555/9, 919/18, -49/2, 275/24, -10489/48, 
  -1813/18, -110/3, 3323/144, 139/4, -9667/36, 5071/12, -3971/144, 851/72, 
  1759/18, 49/2, -449/8, -1921/8, -11/2, -783/16, -4, 1, 225/2, 10, -7/2, 
  -9/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 2117/48, -425/8, -821/16, 
  -2107/24, 5009/12, -21233/144, 11237/24, -887/8, 8831/48, 1, 11/4, -15/4, 
  0, -7/4, 0, 31/8, 9/8, 5, -89/16, -603/64, 51/4, -465/16, -321/16, 131/4, 
  -87/32, 17, 91/2, 107/4, -23/2, -5/2, -187/24, 24, 47/32, 611/24, -3, 
  -13/4, -2/3, -411/128, -67/4, -127/16, 139/12, -1207/96, 1411/96, 1241/64, 
  -3/8, -105/4, -177/16, 0, 391/24, 2477/48, -13169/288, 16585/96, -117/8, 
  16247/96, 781/24, -14951/48, 0, 273/16, 45959/288, -853/32, -25999/144, 
  42709/288, 14987/96, -8041/160, 783/16, 179/4, 7221/80, -2017/24, -179/4, 
  -6281/160, 1685/48, -3/4, 1099/96, -5363/48, -139/24, 1207/48, 3559/48, 
  -271/32, 829/16, 105/8, -245/16, 0, 3701/40, 4181/96, 1007/24, -4751/40, 
  -2489/96, -63/4, -1649/32, -5237/24, 1765/32, 34085/288, 37/4, -7065/32, 
  47/4, -5, -12743/96, -67/4, -61/4, 16, 639/4, -183/4, -639/8, -3, 16, 0, 0, 
  -21/32, -9/32, 63/32, 9/8, -9/4, 57/4, 63/4, -363/2, -9/4, 51/2, -381/2, 
  -327, 45/4, -945/4, 903/2, -30, 459, -138, -3/4, 9/4, -69/4, 279/4, 9/4, 
  -183/4, 147/2, -57/2, 39/2, 63/4, 3/4, 9/4, 51/4, 9/4, -21/2, -93/4, 0, 
  -9/4, -9/4, 0, 9/4, -21, 75/4, 1161/4, -18, 525/2, -1065/4, 207/4, -1341, 
  -171/2, -9/4, 36, -333/4, 189/4, -3/2, 0, -9/4, -99/4, 45/4, 9/4, 27/4, 
  -57/2, -315/4, -63/4, 2439/4, 1131/4, -75/4, 15/2, -87/4, 12, -6, -30, 
  -237/4, 6, 0, 0, 2517/64, -1897/72, -239/16, 1789/64, 23315/288, 4055/288, 
  7109/96, -89527/2304, -8063/256, 27/8, -177/8, 0, 717/8, -285/2, 0, 573/8, 
  -597/64, -17/3, 7473/64, -181/36, -14661/64, 1207/576, 10107/64, -567/64, 
  -65/24, -22571/192, 2219/72, 30005/288, 441/16, 243/32, 2293/96, -51/4, 
  261/32, 489/8, 1/3, -4095/32, 10/9, 2293/32, 45/128, -27, 2413/288, 
  -175/32, 28031/1152, -3355/384, 8617/576, -562/9, 11/48, -1473/64, 
  16121/576, -29/9, 1703/48, -31883/1152, 1987/2304, 49045/1152, 58397/1152, 
  -8467/576, -79/128, 8467/576, -5/8, 1321/32, -541/48, -31/72, 15/4, 
  -6535/32, 692/27, 31/72, -5/2, 8901/32, -6203/432, 15/4, -3687/32, -35/8, 
  -65/64, -103/16, -2105/72, -487/24, 393/64, 11389/432, 43/2, -3001/64, 
  -43435/1728, 4921/64, 561/64, 71/8, 205/24, -47953/576, -959/144, 2843/72, 
  253/16, 351/32, 4045/96, -123/8, -21/4, 32185/192, -8587/144, 123/8, 
  -359411/864, 7675/144, -41/8, 423397/1728, 14, -1547/128, 4891/108, -36, 
  -4475/48, -37535/864, 46645/384, -23249/1152, 19777/576, -7939/144, 
  -319/48, -33/4, 283219/1728, 429/8, -216211/1728, -161/8, 10037/384, 
  29635/2304, -509/8, 47021/1152, -47/4, -127/24, 13003/576, 197/6, 61/48, 
  -32765/288, -235/48, 48989/432, 1/8, -4757/96, -27/8, -3329/36, 15419/192, 
  8123/64, -251171/1728, -16243/144, 4643/96, -35/4, -277/6, -3149/64, 
  -943/48, 13261/144, 19/8, 19/8, 41/4, -9/8, 0, 2, 0, -3/2, 0, 0, -5/8, 12, 
  -109/8, -48, 121/4, 36, -16, 5/8, -12, 18, 16, 30, -18, -30, 6, 33/4, -36, 
  9, 18, 18, -1/4, -1/4, 1/4, 1/4, 0, -39/8, 3/2, -5/8, 3/4, -3/4, -189/8, 
  213/8, -7/8, 0, 87/4, -63/4, -27/4, -5/16, 11/16, -3/16, 5/8, 19/16, -11/8, 
  29/96, 3/8, -17/64, -3/8, 1279/64, -25/96, 11/64, 17/32, -423/16, 2031/32, 
  -59/32, -1047/16, -5/16, 11/16, 1/2, -27/32, -5/16, -1/32, 11/16, -11/16, 
  -1/2, -121/64, -1/32, 0, -11/4, 71/64, -3/4, 0, 0, 0, -5/4, 759/32, 439/32, 
  -3/4, 97/32, -187/32, 0, 9/4, -897/32, -101/16, 1/4, -63/16, 159/32, 0, 
  -3/4, 617/32, 13/8, 45/32, -69/32, -159/32, 21/16, 9/32, -27/32, 5/16, 
  -41/16, 79/16, -5/2, 3/8, -57/16, 239/48, 241/32, -673/96, -297/8, 
  -1939/64, 235/12, -3239/16, 2081/32, -279/4, 171/128, 27/8, 5/8, 11/16, 
  3/4, 13/2, 33/64, 467/64, 15/16, -57/128, -9/32, -11/8, 1/64, 3/64, -3/16, 
  123/32, 3/32, 3/8, -181/96, -25/16, -25/16, 51/16, -9/8, 0, -27/8, 423/128, 
  1663/128, 301/128, -2173/128, 55/16, 21/64, -9/64, -17/48, 545/64, 11/64, 
  -15/16, 47/64, 49/48, 3/16, -1053/64, -3/8, -991/128, 2915/64, 5863/128, 
  23/192, -81/16, 3/64, -49/192, 213/16, 21/64, -3645/64, 61/64, 1059/32, 
  3/8, -417/64, 613/64, -13/2, -5/4, 21/64, 83/32, -47/64, 27/8, 115/96, 
  823/48, -17/8, -757/192, 3/8, -59/16, 2869/128, -2213/64, 4595/128, 259/64, 
  -811/192, 757/32, 695/192, -899/192, -371/96, -595/32, -2485/128, -649/128, 
  -1097/64, 1941/64, 2225/192, -1519/16, -3573/64, 1453/64, -957/32, -3/8, 
  11/128, -1/16, 45/8, 5/8, -37/8, 33/8, 53/8, -5/4, 103/128, 43/16, -37/8, 
  -23/8, 597/64, -141/16, 27/8, -5/8, -9/8, -217/64, -1097/64, -17/8, 3/4, 
  459/64, 3/8, -51/16, -83/32, 281/32, 91/8, -57/32, 41/8, -201/16, 243/32, 
  -119/64, -15/4, -3629/128, 3733/128, 1267/192, 3/2, 1549/48, -1387/96, 
  239/16, -5/8, -3/8, -2333/64, 2995/64, 2851/384, -71/8, -11719/128, 391/64, 
  -2317/32, 75/8, -2257/64, 140, -997/16, 1/8, 27/8, -15/8, 7/8, -207/32, 
  -11/16, 33/16, 1/2, 635/96, -715/96, 61/24, 11/32, -43/16, -235/24, 0, 1/4, 
  1/8, -17/8, -3/4, -1/8, 33/32, 19/16, 13/2, 523/32, 1099/48, -87/4, 0, 0, 
  -29/16, -145/16, -131/16, -21/16, 25/8, 339/32, 19/16, 5/8, -95/32, 25/128, 
  -49/32, 75/128, 11/32, 29/16, 79/8, -93/8, 19/8, -111/32, -235/32, 313/64, 
  123/32, -85/32, -221/64, -17/32, 45, 619/16, -241/32, -1523/32, 1471/128, 
  -379/16, -141/4, 465/16, 27/4, 9/16, 15/16, 9/8, 5/16, -355/128, -3/4, 
  107/64, -3/8, -9/16, -285/128, -51/128, 97/128, -33/32, -15/32, -3/128, 
  5/32, 15/128, -3/32, 33/32, -11/32, -9/16, -3/16, 253/64, -1/4, 39/64, 
  9/64, -585/64, 273/64, 21/64, 661/128, 243/128, -511/128, 111/64, 45/32, 
  381/128, 7/16, -99/32, -147/64, 1249/64, -595/128, 1041/64, -3/8, 3/4, 
  -891/128, -77/128, -231/64, 9/2, -1095/32, 11/8, 521/128, 95/8, 3/4, -9/8, 
  25/32, -37/16, 25/32, 9/4, -411/64, 323/64, -103/32, -31/64, 2331/128, 
  -1425/128, 231/8, -2249/128, -3/8, 51/16, 1121/128, 1651/128, 9/2, 0, 15/8, 
  3, -587/128, -2227/128, -47/4, 3/4, -25/16, -53/8, -1/2, 21/4, -17/16, 1, 
  5/32, 21/8, -3/8, -11/32, -51/16, -1367/64, -667/32, -561/32, 1/4, 1/2, 
  1/4, 479/128, 379/8, 5275/128, 369/128, 347/32, 53/32, -853/32, -407/128, 
  -331/128, 1673/128, 2893/64, 2197/64, -7/8, 41/8, -2179/64, -7061/128, 
  509/64, 1593/64, -4529/128, -1095/64, -11/8, 27/2, -67/16, 0, 0, -5/4, 1/8, 
  0, 0, 1/3, 0, -7/8, 0, 0, 0, 0, 0, 0, 9, 3/2, 63/4, 0, -3/8, -5/2, 1/4, 
  3/2, 0, -3, -2, -5, 0, 2/3, 6, 1, 85/8, 0, -7/4, 0, -3/2, -63/8, -1/4, 
  -11/4, 1/4, 57/8, 17/8, 5/8, -3/2, 243/8, -51/4, -43/24, -49/8, -39/2, 
  121/12, -31/12, -9/8, -43/12, -25/8, 4/3, -51/8, -29/6, 89/6, 101/12, -5/4, 
  -1, 59/8, -16, -59/8, 5/2, 59/12, 3/8, 31/24, -99/4, -9, -31/12, 1, 643/12, 
  191/6, -343/24, 67/24, 99/4, 19/2, -533/24, -9/2, -16, 3/4, 12413/192, 
  -31/4, -2569/24, -2731/64, 3789/64, -1155/32, -293/16, -579/32, 1/2, 
  -3743/384, 25/4, 8737/192, 9439/768, -967/96, 421/8, -1/2, -21917/1024, -7, 
  -19339/768, -203/16, -15/4, 5/8, 9/4, -1411/32, -445/24, 11183/192, 
  -311/48, -2559/64, 895/8, -671/16, 9/2, 1/8, 41573/288, 4683/64, 6709/36, 
  1043/64, 13061/96, -13925/48, -591/64, -353075/1728, -4915/48, -26843/192, 
  897/16, 31993/192, -8165/144, 3781/64, -9343/192, -293/16, -93/4, -1789/8, 
  -9319/192, -121/8, 18347/384, 186757/384, 77783/768, -4757/144, 
  -238009/768, 179/192, 20831/96, 14963/96, -49/4, -324357/1024, 
  -471059/3072, 79429/768, -16567/96, 327/16, 178759/3072, 77/16, -3/4, -1/2, 
  1/2, 15/4, -9/4, -173/288, 1825/288, -10135/288, 1355/24, 8287/144, 
  -34987/288, 80311/288, -5155/24, -7229/32, -35033/32, 21217/32, -1671/8, 
  5197/16, 251/8, 173/288, -415/12, 4553/288, -169/8, 6001/288, -8243/48, 
  209/8, 415/12, 74/3, 83/8, 136/3, -1403/24, -74/3, -85/12, -325/3, 85/12, 
  -6, -23/2, 55/8, -209/8, 3/4, 21/8, 15/8, 657/8, 0, -189/16, -127/2, 
  -751/4, -1803/8, 0, 1179/32, 2441/16, 1779/8, 0, -1065/32, -627/8, 9/4, 
  -15/4, -3/8, -31/4, -197/16, -2427/16, -6, 781/32, 2703/16, 257, -29/8, 
  -1843/32, -6767/32, 21/8, 241/16, -49/8, -767/16, -43/32, -73/8, 505/16, 
  167/4, -197/64, -283/16, 139/4, 2617/32, 923/64, -501/8, -183/8, -59/2, -8, 
  -55/4, -8, 0, 589/16, 49/3, 91/6, 8, -249/32, -41/6, -17/12, -33/32, 3/2, 
  0, -255/4, -505/48, -155/12, -6, -2447/96, 569/48, 133/24, 493/48, -29/24, 
  -15, 1033/12, 1007/48, -1/8, -2785/48, -2735/192, -5/2, 593/32, 923/64, -5, 
  -183/8, 1/8, 15/4, 85/8, -139/4, 3/4, 0, -123/2, -375/8, 15/4, 271/4, -3/4, 
  1/8, -3/4, -163/16, -523/16, 647/16, -17/8, 107, 257/4, 19/8, -499/4, -1/8, 
  93/16, 1077/32, 367/32, -333/8, -115/24, 57, -359/32, -669/32, -151/12, 
  33/4, -1/8, -7/2, 2, 927/16, 1/4, 239/4, -411/8, -25/4, -177/2, 57/8, 
  -165/16, -1579/32, -19045/96, -435/8, 4091/24, 755/8, 217/16, 241/3, 
  -2213/24, -11/48, 1/4, -39/2, -3545/96, 2, 2027/24, 21/2, 673/32, 19445/96, 
  -1853/24, -2099/48, -69/8, -3037/96, 31/8, -29/12, 235/8, 1/4, -53/24, 
  -223/16, 151/48, 61/48, -5/4, 413/48, 219/16, -119/16, 0, 3/2, 119/12, 
  -1/4, -41/16, -5/16, 33/4, 29/4, 265/16, -301/48, 1175/48, -175/8, -5/24, 
  0, -9, -110, 2, -35/2, 10493/288, -73231/576, 25453/576, -683/288, 
  -36125/288, 7633/96, -1435/288, -43/18, 41/32, 4/9, 3/4, 17/4, 2011/36, 
  12467/144, 803/36, 1/2, 71/2, 17015/288, -529/36, -1/2, -423/8, -17371/288, 
  -23/4, 917/72, 9/4, 625/96, -7643/96, -1259/32, 3415/72, 7643/96, -51/8, 
  -3415/72, 57/8, -16145/288, 61/48, 9277/36, 16121/96, -15413/96, -21187/72, 
  11689/96, 298825/1728, -235/48, -185239/576, -60919/288, 103111/288, 
  -1559/16, 1/8, 1499/8, 803/36, 586/9, -24655/288, -50675/576, 375/8, 
  -75959/288, 33125/96, 62557/576, 14875/64, -12283/32, -2039/18, -41555/288, 
  73333/288, -149/4, 17527/576, -78629/192, 3985/48, 1061/288, -1237/72, 
  3035/16, -211/72, -1223/192, 2453/96, -2567/48, 225/4, 11625/64, 51989/192, 
  -20953/64, 27/4, -5233/32, -251/16, -1735/32, 1331/16, -10463/48, 453/4, 
  -1121, -21213/16, 3185/3, -2479/8, -78823/48, 4405/6, -3491/288, 5665/192, 
  -2349/32, 17885/288, 37/12, 10017479/1152000, 140193461/1036800, 
  3824333/38880, 13189/972, 1355/576, -37885/72, 100/3, -361/192, 
  789083/5760, 6791/72, -377/32, 151593577/115200, 5879/72, 2585/288, 
  -104416837/115200, 7/3, 965587/2880, 2511731/2880, -14029/360, 
  19463503/57600, 96091/200, -15761/135, -1696971703/1152000, 
  -4840254299/3456000, 116779761/128000, -2568643/5760, -3155137/28800, 
  407909/5400, -46138693/38400, -574478071/1036800, 15104633507/10368000, 
  -715547/28800, -2444089/12960, 2092144693/3110400, 25710071/194400, 
  7765/16, 1925/4, -12695/24, -1/2, 1/4, -7/2, 5/2, 4143/16, 78007/96, 1/2, 
  7, 1/2, -4351/12, 23/4, -11/4, -9/4, -25/12, 2413/72, -1033/72, 0, 913/96, 
  -3839/48, 295/18, -1949/96, 6895/144, 103/8, 2527/192, -178349/1440, 
  40249/80, -721/40, -665/48, 15223211/19200, -346831/480, 8333/96, 
  -640649933/1152000, -199/8, -213829/960, -3363037/5760, -891/400, 
  -18926111/19200, 43324817/115200, 106064437/128000, 81821/640, -42677/480, 
  18955141/38400, 299641/2400, 3037/192, 27055/96, 15401/96, -135/4, 
  -1213/24, -2007/4, -11591/96, 2025/32, 1063/12, -673/8, 420083/2880, 
  -542227/1440, -5166911/19200, 561973/1440, 262027933/1152000, 211589/5760, 
  -4249/2400, 8055023/115200, 53753/1200, 7333/16, 3741/32, -211/4, 6865/16, 
  5221/32, -11201/24, 5463/32, 37807/480, 16519/32, -5797/480, 4047/16, 
  -275/4, 89335/96, -589/2, -2261/6, 27/2, 45/2, 39/2, 39/2, 0, 75/2, 133, 
  411/2, 0, 33/2, 29/2, 35/2, 0, -3/4, 7/8, 7/8, 187/8, 15/4, -33/8, 1/4, 
  -207/4, 63/4, 39/8, 13/4, -21/2, -389/8, -51/4, 9, 1/2, 39/8, -1, -61/4, 
  -109/8, -57/8, 143/2, -149/8, 31/4, 85/2, 2, -29/8, 19/4, 247/8, 21, 89/4, 
  -1, 3, -13/2, -3/4, -3/4, -189/16, -6219/8, 39339/16, 1/2, 2777/16, 
  -8403/16, 1, 3127/8, -9453/8, 15/4, -15/8, 417/8, -27/2, -81/8, -39/4, 
  21/2, -339/8, -27/4, 231/4, 33/8, -30, -489/8, -129/4, 0, 81/8, 87/8, 
  -801/8, -117/8, 51/4, -201/8, -567/8, -951/8, -1613/8, -107/2, -159/4, 
  -123/4, 285/8, -45/2, 57/4, 573/8, 255/8, 69/8, 69/8, -6, -705/4, -2583/16, 
  21/16, 0, 15957/16, 14865/16, -165/16, -13119/4, -6165/8, 39339/16, 
  5619/16, 2565/16, -21/16, -10251/8, -1509/2, 43969/16, -1389/8, 9/8, 
  4545/16, -21/16, -3111/8, -3111/8, 0, 3153/2, 3063/8, -9517/8, 3111/4, 
  3111/8, -3153/2, -3111/8, 869/48, -9/16, 3/16, -3/16, -4771/72, 1261/144, 
  -867/32, 299471/3456, 10879/1152, -10145/576, 1315/48, 143/18, 
  -610621/3456, 4585/64, 4249/24, -73309/144, 245141/1152, -5579/24, 
  21301/48, 8813/16, 5603/384, 2885/384, -6913/384, -4117/384, -51/64, 
  -18409/384, -21113/384, 2821/384, 6773/384, 2189/48, 10487/192, 1399/64, 
  -421/32, -445/32, 0, 3/8, 359/288, -1027/192, 5603/384, -385/96, -1333/576, 
  1097/48, 179/192, 2455/384, 1203/128, -93/16, 613/96, 3737/64, -19385/384, 
  -165/8, 67775/576, -6305/96, -1709/48, -38171/1152, -239/64, 43/2, -571/32, 
  2659/48, -1547/96, 5339/96, 11365/576, 0, -429/32, -285/32, 0, 991/96, 
  -11977/576, 18359/6912, 4337/1152, 1099/12, -33311/144, 214745/2304, 
  -5987/48, 17801/96, 8885/32, 1/2, -22709/576, 569/12, -21/8, -405587/1728, 
  -157235/432, 15/2, 2609287/6912, 720605/768, -59119/576, -2244139/3456, 
  66571/576, 17/10, -88229/4800, -78089/14400, 57521/576, 27/8, 15511/128, 
  1967293/28800, -46379/288, -12289/640, -515249/3200, -52051/320, 28911/640, 
  21171/320, -45/64, 1275/64, 726307/14400, -65197/3456, 79417/1728, 
  -61063/480, -11662751/28800, 26453/288, 156739/960, 185117/576, -45557/640, 
  -108539/11520, -528497/6912, -274505/1152, 3198127/23040, 165799/6912, 
  -4123283/23040, 60493/2304, 1360547/6912, 471041/13824, -15127/384, 17/8, 
  -23731/480, -1991/3600, 65309/576, 27/8, -319/40, 2434559/9600, 
  -3671357/28800, -44087/288, -8157/640, -916493/3200, 25507/960, 30351/640, 
  87119/960, -155/64, 5727/320, 163769/4800, -114685/3456, 81613/1728, 
  -165581/960, -8452351/28800, 53, 75313/320, 124505/576, -199453/1920, 
  -2539/120, -44671/384, -280145/1152, 5252087/23040, 173153/1152, 
  -5529533/23040, 24787/256, 1361411/6912, -874603/13824, -15127/384, 
  13123/600, 2297/64, 1963/96, 2859/32, -251567/2400, 6437/192, -2543/32, 
  7963/96, -79/8, -4681/80, -9615/64, -337/36, 9469/320, 2507/24, -4297/80, 
  24947/288, -1080805/6912, -28781/576, 11589/128, -14503/80, -1621/32, 
  847/12, 14283/80, 691/4, 11/4, 10217/64, -234185/576, 6815/192, 
  240761/2304, 37199/192, -4241/48, 15263/192, 521/48, 8561/32, -797/48, 16, 
  -379/6, 23/2, 1273/8, 42, -3/2, -147/4, -69/2, -9/4, 36, 82, -43, -4241/96, 
  33419/288, -1607/6, 80863/288, 917/96, 80879/288, -477/32, -1925/8, 
  16943/972, 373/48, -1693/16, 233/4, -147/4, -49/3, 1825/8, -239/4, 2071/48, 
  -1957/16, -415/12, -6929/96, -469187/576, 388/3, -840637/3840, -16447/48, 
  455348017/576000, 2077/12, 684341/576, 700177/384, 4717477/3840, 
  166559203/518400, -766802017/576000, -625921/384, 104363/3888, 
  -303967603/518400, -83465/3888, -373/48, 1665/8, -149/2, -9/4, 1301/48, 
  -1817/4, -79/4, -791/24, 2125/8, 193/6, -1637/16, -337/4, 82, 1583/8, 
  147/2, -1183/8, 201/2, -43, -15, -3/2, -47/8, -59/8, -9, 9/8, -8, 85/8, 
  -41/2, 21/2, -5/8, 11/4, 681/64, 37/2, -43/24, 135/8, -313/16, 187/8, 2, 
  13/64, -31/4, -5/6, -201/16, 697/32, -7/4, -9/4, 7/4, 7/6, 3/4, -9/8, 2, 
  53/8, 55/8, 21/8, 5/8, -41/8, -791/64, -15/2, -2, 229/64, 347/64, 7/4, 
  -57/64, -3/8, -1/2, 2, 14, 11, 71/32, -463/64, -69/4, -257/64, 155/32, 
  63/32, -73/32, -57/4, -91/8, 609/64, 71/4, -391/64, 9/4, 9/4, -9/4, -3/4, 
  7, 117/8, -355/8, 9, 1/4, 45/8, -633/8, -263/4, 215/4, -7/8, -19, 513/2, 
  32, 19/2, -93/4, -745/4, -35/8, 107/2, -21/4, 9/4, -35/4, 6, -135/8, 1/8, 
  -37/4, 115/4, -523/8, 21/8, -183/4, -175/4, -279/8, 1397/8, -269/8, -27/8, 
  5/4, 21/4, -3, -33/4, 101/8, -3/8, 69/8, 75/8, 0, 15/8, 21/8, 27/8, 13/8, 
  -15/2, 17/8, 0, -21/4, -17/8, 3/4, -10, -5/4, 96, 21/8, -33/8, 839/8, 
  -495/8, 13/2, 43/4, -2429/8, 1067/8, 13, 34, 285/8, -3/4, 59/4, -26, 451/8, 
  19/2, 6, -9/4, 63/8, -2695/8, 33/4, 15/8, -65/8, -22, 47/8, 73/2, 39/4, 
  3/8, -2, 117/8, -9/4, 3, -17, -585/8, -297/8, -181/8, 567/4, -73/4, 499/4, 
  62, -291/8, -67/8, 23, 107/4, 159/4, 1913/8, 95/4, 13, -145/8, -44, -61/8, 
  29/8, 113/4, 129/4, -209/8, -261/8, 3/8, -151/8, -235/4, -23/8, 61/4, 
  -27/4, -27/4, 27/4, 27/4, 5/4, -69/2, 433/16, 45/4, -1/4, -8, 2961/16, 
  -935/16, -45/4, 15/8, -45/8, -525/2, 251/8, 23/16, 507/16, 1791/16, -87/16, 
  -309/16, 19/8, 7/8, -29/4, -165/16, -423/16, 0, -109/16, -731/64, 887/96, 
  452/9, 81/8, 2475/32, 803/864, -191/4, -3517/64, 62, -37/16, 11, 193/8, 
  281/16, 509/32, -623/32, -1019/36, -11359/128, 755/27, 7841/128, 17/16, 
  -177/16, -139/8, 83/16, 243/16, 3071/72, 9/8, 63/16, -183/16, -3/4, -1/4, 
  161/4, -2411/16, 53/8, 19/8, -2945/16, 4263/16, -53/8, 195/16, 1187/8, 
  -463/4, -185/16, -73/16, -9/4, 11/8, -105/2, 3/2, 47/8, -999/128, 
  14725/384, 5585/288, -8203/128, 493715/3456, 1669/64, -47/16, 251/8, 
  -177/16, -395/128, -29621/864, -19659/256, 89/16, -41/8, 589/144, -15/4, 
  -23/8, 255/2, -287/16, 245/8, -943/8, 287/16, -469/16, -77/8, 19/16, 
  147/16, -1397/16, 111/16, -9805/256, -472133/3456, 287/96, -295/16, 
  -281/16, 21453/256, 97/8, -15/4, 107/8, 111/16, -107/8, -51/16, -15/4, 
  -71/8, 15523/768, 15/2, -9/8, 9/8, 9/8, 3/8, -277/240, -1637/2400, -439/12, 
  -1123/96, -61/40, -607499/9600, -327949/28800, 296053/3456, 961/96, 
  7877/640, 373353/3200, 5331343/28800, 34025/3456, -11151/640, -12141/320, 
  -9283/128, -1649/64, -2171/96, 21/4, -3/8, -11/60, -3235/432, -733/108, 
  24349/480, 302809/1440, -39851/1728, -357/32, -81011/960, -2579347/7200, 
  -17981/432, -10079/1920, 12805/64, 6319/96, 11/16, -18113/3456, 
  555121/5184, -2025599/23040, -207569/3456, 85909/2592, 1532627/7680, 
  502829/3456, -33965/384, -27/16, -100175/1728, 56717/13824, -22795/648, 
  -67895/576, 13/16, 10921/1728, -13201/384, 23227/1152, -1507/128, 647/32, 
  -115/96, 168767/1152, -6371/128, -21749/384, -35/2, -201281/864, -3323/576, 
  3725/81, 53587/432, -29011/1728, -1561/192, 1151/48, -301/16, -1735/384, 
  -8855/288, 2355/128, 124057/3456, 128599/1152, -22913/864, 18443/384, 
  71/32, 4867/384, -4549/192, -2585/192, -19/8, -7/8, -5/24, 4, 3/2, 147/4, 
  55/16, -2013/16, 233/4, -147/4, -41/24, 2049/8, -239/4, 1331/48, -2149/16, 
  -117/4, 3707/576, -196397/1440, 54941/240, -1551/80, 235/48, -2527/192, 
  6959377/28800, -35001/64, 87463/1440, 5785/192, -145039177/576000, 
  1132913/2880, -2933/144, 90005437/576000, 2005/96, -2, 23453/160, 
  -1204979/7200, -491/72, -178361/5760, 295897/6400, 3956437/21600, 
  2668037/38400, -49571359/172800, -6000493/76800, 39/16, 426241/7200, 
  12427/432, -76921/3840, -11957779/64800, -17305373/207360, -7/16, 
  -32791/1296, -11866511/194400, -27107/3888, 5/24, -4, 81/2, 9/4, 497/96, 
  1845/16, -217/8, -183/16, -3115/192, -18655/64, -459/16, 557/64, 11267/64, 
  -133/16, -48, -82, 7/2, -57, 289/4, -3/8, 609/8, 1253/64, 6, 43, -9/2, 
  -129/4, 21/4, -3/4, -2, -3/2, -9/2, 47/8, 99/16, 123/16, 9/2, 9/8, -183/16, 
  -69/16, -99/16, -27/8, 13/4, 1/8, 17/4, 49/16, -2, 7/4, 21/4, 43/4, 9/2, 
  5/8, -17/16, -57/8, -37/4, -2, -17/16, 31/8, 7/4, 9/8, -3/8, 3/4, 1/4, 
  -79/16, 21/8, -27/4, -7, 97/16, -21/8, 225/16, 423/16, -9/8, -49/8, 
  -315/16, -31/16, -13/8, 53/16, 53/16, -21/8, 21/16, -81/16, 13/8, -7/4, 
  3/2, 21/16, 17/8, 293/16, 11, 7/16, -219/4, -11, -195/8, 583/16, 349/16, 
  -189/16, -83/2, -11, 161/8, 371/16, -167/16, -83/8, -91/8, 325/8, 91/8, 
  -121/4, 53/2, 91/8, -129/8, 9/4, -9/4, -9/4, -3/4, -613/128, -1207/128, 
  -3/8, 7/4, -12, 17/2, 2, -13/4, -1625/128, -2097/128, -117/8, -5/8, -11/8, 
  105/8, -29/4, 119/12, 2113/64, 225/8, 2, -7/4, 11/8, -113/12, -75/4, -7/4, 
  -35/8, 45/8, 39/8, 0, -3/8, -3/8, 59/4, -61/4, 5/8, -1, 39/8, -153/8, -2, 
  45/8, -55/8, 7/4, -31/8, -3/8, -1/2, 73/8, -199/8, 33/2, 19/8, -27, 135/4, 
  -31/8, 37/2, 2, -11/4, 29/8, -3/4, 9, -57/8, -25/4, 9/4, -9/4, -9/4, 0, 
  1/8, 153/64, -61/16, -93/8, -7/8, -1/2, 209/64, 53/16, 755/32, 13/2, 59/64, 
  -231/16, -71/64, -31/8, -53/8, -257/64, -31/8, -1031/64, 21/8, 5/8, -1/8, 
  -387/64, 781/128, 259/8, 1/4, -235/64, -633/64, -38, 9/8, 2669/64, -337/16, 
  927/64, 327/16, 663/64, -2, 9/4, 457/128, -211/8, 5/4, 423/64, 569/32, 
  -1431/64, 1915/64, -811/64, 1/2, -47/8, 3, -5/8, -29/4, -31/4, 19/8, 9/2, 
  27/8, -3/4, -1/2, -3/2, -53/4, -1475/64, -29/16, 49/8, -559/64, -173/32, 
  231/64, -1695/64, 951/32, 825/16, 3911/64, 1515/64, -465/32, 25/8, 25/2, 
  997/32, 49/32, -337/64, 253/8, -1841/64, -497/16, -5025/64, -131/4, -49/8, 
  -763/64, 107/32, -259/32, 359/16, 2015/64, 7/2, -21/4, -21/8, 13/8, -33/8, 
  51/4, 637/8, 2081/32, 1065/32, -205/32, -7235/64, -5095/64, -4305/64, 
  427/16, 973/64, -3815/64, -7745/64, -1335/64, 1577/8, 1617/32, -619/64, 
  4025/64, -5213/64, -53/8, -415/64, -393/8, -235/4, 1601/64, 5565/64, -1/8, 
  345/16, 5669/64, -333/4, -2087/64, -57/64, 25/2, -51/16, -689/64, -27/32, 
  33/16, 1507/256, 1051/256, -57/16, 15/8, -513/128, -1607/256, -109/32, 7/8, 
  -527/32, 669/32, 235/32, -6, 743/32, -2047/128, 17/4, 37/16, 11/8, 5/8, 
  -1057/256, 39/64, 9/8, -5/8, -11/8, -1853/256, 147/8, -17/16, 823/64, 
  1549/128, -353/64, 335/128, 7/16, -2, -519/256, -27/4, 17/16, 281/96, 
  57/32, 49/64, -4715/384, -309/32, 29/8, 69/16, 5/16, -323/192, 81/32, 
  -21/16, -3/16, -5/16, -7/4, -617/128, -491/256, 22, -1/16, 903/32, 457/32, 
  -77/4, -1217/64, -903/64, 1649/64, 327/16, -293/64, -119/8, 21/16, -7/16, 
  4571/256, -619/16, 189/64, 5527/768, 1475/128, 307/128, -11397/256, 
  499/128, -5/4, -281/64, -127/8, 29/32, -27341/384, 3457/192, -5/16, 891/64, 
  -177/32, 3/16, 7/16, -5593/128, 2353/64, 667/16, 2469/128, 983/16, 
  1457/128, -4533/128, -6727/128, 185/4, -479/192, -25459/256, -1627/16, 
  -5887/384, 5151/256, -5497/128, -247/96, 4587/64, 605/192, 175/64, 639/32, 
  -4837/64, -195/8, -2791/64, 215/8, -137/4, 1529/64, -14461/128, 3711/64, 
  -629/64, 3011/32, 2685/64, -3/4, -549/32, 9/2, -13/96, -39/32, 1/8, 43/40, 
  -1241351/19200, 178345/2304, 175/8, 97/80, -649841/9600, 62191/320, 
  -48553/384, -12877/640, 73273/800, -622339/3200, 15491/640, 9157/960, 
  -87/64, -1/32, 7/16, 3/4, -1893/1280, 54163/1728, 119855/3456, 577/160, 
  -709447/7200, -3721/1152, -199/12, 106069/1200, -44767/960, -15/4, 
  -1436507/6912, -7555/18, -445813/23040, 76001/864, 553957/7680, 58687/1152, 
  664609/1728, 304297/4608, -65923/1152, 3491/576, 202253/720, 3910271/11520, 
  -816863/11520, -107/12, -4097/192, 4122013/9600, -499591/576, 24779/360, 
  2627/64, -924896239/576000, 1535741/2880, -23239/288, 169323353/192000, 
  142/3, -5/16, -3314413/11520, 2711519/14400, 3581/144, 1/16, 78719/640, 
  13718351/57600, -2718643/10800, -1/4, 40534333/38400, -23514793/172800, 
  29/32, -1074484639/1152000, -19/48, 1, -7188809/57600, -2261/432, 43/48, 
  -222883/1280, 9952753/32400, -41/16, -588569941/1036800, 0, -7/8, 611/324, 
  -47/16, -21744307/97200, 0, -25649/3888, 0, -9/16, -3/8, 17/16, -9/2, -3/8, 
  57/32, -1223/256, -4045/256, -83/64, -31/16, 13/32, 3405/256, 4761/128, 
  77/8, 171/32, 983/64, -113/8, -31/4, 53/8, 5/16, 5/16, 29/128, 37/4, 17/8, 
  -731/128, 2233/256, 4941/256, -3/8, -2849/256, -3921/256, 587/32, -421/64, 
  -37/16, 3/32, -21/128, -31/8, -5/2, 491/256, -2543/128, 137/32, 2575/256, 
  -6, -49/32, -9/8, 41/32, -191/256, -41/16, 3/8, -47/32, 29/16, 9/8, 
  -581/64, 21/8, -137/32, 1883/256, 5455/256, -851/32, 19/8, -8959/256, 
  -11061/128, -99/8, -1505/64, 13, -5/16, -59/64, 739/128, 15/16, 1853/256, 
  -2621/256, -7209/256, -559/256, 4229/256, 2083/64, -3/32, -109/128, 
  -561/128, -555/128, 4891/256, 585/256, 27/16, -187/128, 35/256, -5/32, 
  -5/4, 133/64, 2235/64, 23/4, 2393/256, 2735/128, 9867/128, 751/32, 4405/64, 
  -141/16, 13/16, -2637/128, -1569/64, -2575/128, -5781/256, -4181/128, 
  85/64, 575/32, 4133/256, 105/64, -23/8, -1525/32, -267/8, -16207/256, 
  -6109/128, -165/16, 1833/128, 2069/32, 10423/256, -2343/128, 20, 25, 
  -151/32, -123/4, -9/2, 15/8, -11/16, -29/8, 43/8, 5/8, 23/8, 41/8, -121/16, 
  -15/8, -1, 5/8, -99/16, 33/16, 91/4, -45/8, -125/4, 3/4, 43/8, 43/8, -2, 
  25/8, -39/16, -101/4, 99/16, 83/2, 65/16, 7/4, 1, -15/16, 89/16, -57/16, 
  -3/8, 3/16, -13/16, 0, -1/2, 149/16, 39/8, 139/8, 7, -67/4, -79/8, 119/4, 
  121/8, 15/8, -387/8, -159/16, -1925/48, -1/16, 167/6, 39/8, -25/8, 103/2, 
  45/8, 907/48, 143/48, 11/8, -141/16, -1/16, 1/4, -19/4, -33, 171/8, 
  -1103/48, -59/4, -847/24, -67/4, 147/8, 723/8, 115/24, 2681/48, 1003/24, 
  -133/8, -899/12, -631/24, 8/3, -3/8, 30, 809/12, 3/4, -13/8, 39/8, 
  -2011/24, -367/6, -29/8, 9/8, 45/8, 27/8, -9/8, -1/4, 1/120, 17761/7200, 
  809/64, -57/4, 63/20, 654899/9600, 41287/14400, -70939/1152, 461/32, 
  -16157/640, -344471/2400, -282927/3200, 4309/96, 20451/640, 25121/320, 
  803/24, -243/64, -45/8, 0, -13/16, -299/60, 86615/864, 455411/3456, 
  -2143/60, -105949/1440, -16021/1152, -5255/64, 68123/480, 908897/7200, 
  -2223/16, -28601/320, -18095/192, 103/24, 17/8, -101807/576, -18155/48, 
  56939/23040, 26191/864, 64483/576, -777241/23040, 37709/192, 5473/96, 
  52351/1152, 530827/1728, 182635/13824, -32435/576, -20095/192, -63907/1152, 
  6841/576, -9, -2839/48, 3959/128, -7297/384, -113/32, 4177/192, 56509/384, 
  -1879/256, 445/384, -1867/96, -85487/384, -48665/768, 11287/576, 3683/24, 
  -955/576, 357/32, -2101/128, 3403/64, 159/8, -983/24, -59621/3072, 
  -18713/384, 6205/128, 237985/3072, -3091/96, 265/16, -10391/384, -941/32, 
  2193/64, 2183/64, -63423/1024, -337/16, 35/16, -85/32, 9/2, -2671/432, 
  115/32, 83/16, 67/16, 83/16, 629/36, -1069/48, -16265/192, -22, 
  -35179/1728, -179/4, 9677/192, 42427/864, 16849/192, -751/48, 4277/192, 
  423809/2880, -261259/960, -12949/480, -491/24, -40547/864, -3871909/9600, 
  3657/8, -15299/720, 104665/864, 110345177/576000, -512959/1440, -91177/864, 
  -62471437/576000, 995/96, -80951/576, -106669/480, 1030829/7200, 689/72, 
  -281271/640, -337397/6400, -769003/5400, 39135889/115200, 51835759/172800, 
  3631/25600, 525/64, -306241/7200, -8917/432, 3097421/3840, 10602379/64800, 
  -27267307/207360, 1909/16, 7165/324, -1894133/24300, -16943/1944, 2671/432, 
  -6043/576, 33/8, 543/16, 37, -1961/432, 34843/576, 7003/64, 865/8, 
  4655/1728, -92495/576, -5213/96, 13/96, 19651/288, 43/4, 3973/576, 
  4487/144, -465/8, -1131/16, -4145/192, 4469/576, -65, 42299/576, 
  -13897/576, -3121/64, -5819/144, 791/144, 41/4, -24589/576, -4913/144, 
  111/4, 1801/144, 91/4, -3/2, -9/2, 15/16, -37/8, -29/4, 151/16, 9/2, 
  105/16, 95/16, 151/4, 20, -165/4, -51/4, -63/4, -801/8, -713/16, -7/4, 
  327/16, 1309/16, 61/4, 57/16, -79/16, -15/8, -243/32, -291/32, -1371/32, 
  -143/16, -15, -581/16, -127/8, 95, 115/4, 4853/32, 911/16, -1367/32, 
  -4611/32, 233/32, 43/8, 1059/64, 1825/64, 41/16, 69/16, 173/12, -995/16, 
  -2185/32, -1253/32, 1439/16, -79/16, -151/16, 19/16, 201/32, 41/4, 3/8, 
  35/16, 21/16, 57/32, -3/4, -15/16, 89/8, 161/8, -391/32, -105/16, 2, 
  -1163/16, -341/16, 19/4, -171/16, 1331/16, -131/2, 311/16, 111/16, -41/4, 
  -127/32, -2855/64, -15481/192, -76, -65/2, -154/3, -759/16, 56, 3661/16, 
  -169/8, 1279/64, 15685/192, 3709/32, 227/8, 545/12, -7439/48, -1189/64, 
  -3359/64, -139/8, -5/2, -103/16, -34, -6881/192, -55/16, 109/4, 149/48, 
  -141/8, -243/8, -81/2, -175/16, 2781/64, 10927/64, 2891/32, -907/8, 
  -8137/96, -289/48, -4243/64, -29495/192, 815/12, 857/32, 85/16, 1547/192, 
  53/8, -9/2, 181/4, 85/4, -97/32, 3845/192, -1279/96, 99/32, 217/16, -9/8, 
  -153/16, -461/16, 1/16, 9/16, -15/8, -15/16, 11/8, -5/4, -11/16, -63/16, 
  17/8, 31/16, -39/16, -31/4, -9/8, 17/4, 3/8, 53/24, 511/48, 401/96, 1/2, 
  -137/12, -121/12, -1/2, 25/16, 0, -1/32, 1/2, 3/2, 199/48, -223/48, -37/96, 
  163/96, -169/12, 355/16, 227/96, -131/32, 133/24, -47/16, 0, 0, -5/8, 
  -33/16, -31/16, -69/16, -1/16, -1/4, 43/8, 69/8, 21/16, -3/4, -29/8, 
  -29/16, -3/4, 3/16, -3/8, 19/80, -14941/1800, 3599/144, -2779/1728, 22/5, 
  572399/9600, 63883/9600, -15155/216, 5695/1728, -21277/640, -1238759/9600, 
  -2306201/21600, -23771/1728, 42031/640, 76633/960, 3409/432, -643/64, -7/3, 
  3/8, -3/8, 247/120, 5873/216, 5203/576, -3439/80, -311399/1440, -14953/384, 
  -1831/192, 116461/960, 4984913/28800, 45863/1728, -245401/1920, -2063/864, 
  121/24, 19/8, 21281/3456, -81893/1728, 1121279/23040, 51233/1152, 
  -44219/1728, -2995841/23040, 64981/1728, -2891/576, -29/16, 40271/1728, 
  75979/13824, 86561/1728, -84967/1728, 3/16, -15779/864, 565/48, 25165/864, 
  96973/3456, -11335/384, 181/32, -91895/1728, -52895/1728, 21277/384, 
  10547/384, 102101/864, -7967/288, -13231/1728, -72881/864, 127339/864, 
  24659/864, -3343/192, -119221/3456, -4645/192, -399/8, 139559/1728, 
  185503/3456, -4447/384, -395/864, 36043/576, -24721/432, 73/192, 
  145511/3456, 1989/32, -39701/1728, -104629/1728, -11345/1728, -157/16, 
  -29/16, 43745/864, -81/8, 1283/288, -90001/360, 121447/240, 207/20, 7/2, 
  -1567/96, 10648027/14400, -12133/12, -3047/720, 447/16, -141253177/288000, 
  364549/720, -6199/144, -72563/288000, 1295/48, -3455/576, 36295/576, 
  76589/1440, -24098/75, -1505/144, 139/8, -2074001/11520, 6600491/9600, 
  7255199/21600, -8687/192, 174861221/230400, -71203759/86400, 3619/72, 
  -4826653/15360, -2155/96, 35/24, 21761/1152, 42206/225, 15079/216, 
  -193129/1920, -1088723/7680, -11766229/32400, -17890511/38400, 
  -7216661/41472, 223803353/576000, -125/24, -533/144, -90875/1296, 
  72501/1280, -5669021/38880, 157471367/518400, 17/4, -1657/972, 
  5419517/48600, 24191/3888, 2135/192, -680873/1920, -441113/960, -75/2, 
  81/4, -1177/48, -329733/1600, 203099/320, 25837/480, 14675/192, 
  46086933/32000, -1951/8, -1639/32, -75575237/76800, -203/16, 91427/1152, 
  844871/1920, -367941/1600, -12917/960, -493883/11520, 22906979/19200, 
  304171/2880, -41042377/230400, -1311521183/1152000, 52184437/230400, 
  -24985/288, 3231299/9600, 833177/7200, 133067/7680, -236313541/345600, 
  547453/13824, -599/36, -7060273/43200, 2382857/64800, 26839/2592, 
  93893/192, -19187/32, -30079/240, 135/8, 106385/192, -49381/96, -40973/192, 
  -130423/192, 32765/96, 5041/64, -27181/96, -9773/960, -1301/320, 
  -81397/192, -13447/24, 76549/96, -15823/240, -64847/480, 16531/48, 
  93307/960, 2291/8, -53479/96, 269/2, 166189/192, -206873/192, -61, 
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  -126471/800, 510899/800, 67779/80, -10185097/9600, 45555/16, 
  66260903/19200, 38057449/6400, 2933631/1600, 1281, 24665/32, 
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  952702639/576000, 3/4, 206323/640, 471595141/518400, 1, 83694703/194400, 
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  -11141/32, -2983/32, 3685/16, 7069/32, -12307/32, 619/16, 38041/32, 
  -16027/32, -5293/32, -9/8, 2493/16, -861/8, 893/4, 38613/16, -4335/16, 
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  -70, 830/3, -2045/3, -1316, -165859/96, 1407/32, 1262, -36111/32, 4105/8, 
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  87/8, -3/2, -57/4, -63/4, 93/4, 753/8, -33/2, -1395/16, 39/4, 1323/16, 
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  -357/8, 501/4, 237/8, -35/4, -6087/32, -2159/32, 243, 2819/32, -575/2, 
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  69/2, 1253/32, -223/8, -237/4, 243/8, 2145/8, 541/8, -13/2, 625/6, 
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  -1047/4, 9601/192, 871311/3200, 4469/16, -93967/144, -3305/32, 
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  591289/5760, -13446899/2688, 7139869/5600, 21289/180, -8630213/14400, 
  -6822149/57600, 401144/525, 167190839/64000, 20607762209/3024000, 
  -2552628107/1152000, -1335053/5760, -7377597/2560, -110807821/302400, 
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  18304421/25920, -248395631/680400, 3560687/24300, -4580389/2880, 
  23619107/13440, -1610819/1440, 433/16, -27545483/28800, -10515473/8640, 
  154387/160, 541701467/115200, -50787523/40320, -160310437/76800, 
  118071059/26880, 477298811/115200, 7188583/14400, -8745436627/3628800, 
  1972973731/806400, -63204452773/2073600, -1304481709/806400, 
  483520733/604800, 5743853491/1814400, -11330725769/7257600, 
  -39961409/20160, 805/144, -9277/16, -102867371/241920, 262367/576, 
  26407/16, -36671202521/7257600, 8112107/86400, -64986392113/10886400, 
  114680052083/21772800, 8617625/3456, -8083/4, -320177/192, 
  -309335633/93312, 539, 15/8, 1551/16, 489/32, 51/2, -33, -378, 27/4, 
  -129/4, 3225/32, 3669/8, -1065/32, -1407/16, -2997/16, 273/32, 123/16, 
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  -17477/1152, 249/16, -6, -607/32, -63/32, -591/8, 6717/32, -153/8, 6825/32, 
  -10809/32, 153/8, -3861/32, 1023/8, -75/4, 4539/32, -777/4, 153/8, 
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  -2847/16, -1311/8, 651/8, 1311/8, 1545/16, 2655/8, 1311/8, -134179/2304, 
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  41437/1152, 2051/24, -6831/32, 224785/2304, -5171/48, 4947/32, 8741/32, 
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  -89/24, 2093/192, -1703/192, 23/48, -53/48, -1259/48, 9/8, 4873/576, -3/8, 
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  475/144, -1799/576, -49/36, -5/16, -657/32, 449/6, -1331/576, -86, 
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  -110659/576, -14131/96, -3/2, 357/160, -168391/3456, 308857/1728, 35/4, 
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  -310921/2304, -579877/3840, 43087/480, -25/32, -10415/144, 80449/576, 
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  -125850353/288000, -1671/64, -1596661/640, -18800717/259200, -5749/16, 
  2598779/12150, 133139/3888, 361/64, 6083/128, 2787/64, -405/16, 195/16, 
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  21549/64, -27, -63/16, -5153/128, -22979/128, -2635/32, -1681/128, 2117/16, 
  2633/16, -363/128, -6479/32, -3423/16, 339/32, 8911/128, 15081/128, 
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  -27657/32, -5523/64, 1887/64, 13021/64, 3581/16, 4005/64, 41639/128, 
  6827/32, -3887/64, -1539/8, -4839/128, 209/32, -103/2, 7931/64, 623/2, 
  25225/64, 21387/32, -1445/64, -1037/64, -21615/64, -21377/64, 7821/128, 
  -2567/16, -4293/16, 5839/64, 813/4, 177/4, 1/4, 161/8, -841/64, -685/64, 
  -297/64, -21/16, -2491/64, 1269/16, -2023/64, 0, 763/96, -6545/192, 27/4, 
  23/96, -29/4, 471/32, -1457/128, 589/32, 1285/64, -7891/192, 224/3, 
  1187/64, -2623/192, -15695/192, 2901/64, 4511/64, 5713/64, -6851/64, 
  -34877/192, 129/4, 25757/192, 16547/128, 573/4, -917/8, 4031/64, 181/40, 
  -297867/3200, 267763/1152, 9239/96, 9/4, 3837/640, -221695/1728, 
  -150469/1728, -45/4, -1509587/3456, -23735/32, 64447/576, 645505/864, 
  -68803/576, 181/20, -691141/4800, 14049/40, -61775/192, 497/80, 
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  -9373/144, 103/6, 955/16, 58539/320, 12114911/6400, -921658639/576000, 
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  -3249523/5760, 2133251/28800, 70744907/86400, -9301859/28800, 
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  38243/288, -585/8, 7/8, -241/16, -1185/32, -1617/64, 57/16, -3/2, 1483/32, 
  4763/64, -51/128, -267/32, -3107/64, -2137/128, 563/32, 115/8, -9/4, 
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  10537/128, -721/128, -729/16, -24929/128, -3003/32, 31025/256, 12459/64, 
  -9585/128, 23809/256, 6493/64, -14889/128, -2951/128, -1/4, -81/40, 
  383697/3200, -18751/128, -11783/144, -3/2, 6029/1920, -55867/864, 
  11647/432, 35/4, 1434239/3456, 3206047/3456, -60271/576, -1541501/1728, 
  65923/576, -304909/2304, -548557/3840, 96509/960, 87/8, 3491/192, 
  -3304763/5760, -1238573/1280, -23307/320, -1351/32, -4853/96, 
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  -7021459/11520, -4067/32, -1684484803/1152000, 237/16, 5/2, 7961639/11520, 
  710657/38400, 39037/2880, 215569/1920, 76665259/38400, 14655203/172800, 
  7256461/38400, -5936559089/3456000, -13665893/25600, -113/16, 
  8009653/57600, 1087529/5400, -67241/1280, -554277379/1036800, 
  -16772933/69120, 79/16, -17195239/129600, -29477947/129600, -27593/1296, 
  1676659/5760, 981649/2880, 814673/11520, -100/3, 11905309/28800, 
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  -3965369/3200, 7729193/17280, 5047104049/3456000, -96659/3600, 
  4308341/86400, 547494239/1036800, 20572889/129600, 32847/128, -35893/1920, 
  7747/64, 6583/16, -11419/384, -101215/128, -58859/1280, 115559/1920, 
  -30179/256, -61727/960, 7929/32, 14735/192, 41069/64, -43551/128, -3907/96, 
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  -109471/2560, 3489/64, -599369/320, -3440003/12800, -3653/64, 
  24877357/6400, -337/16, -83/16, -1927/256, -1951/128, -15469/256, 1185/256, 
  187169/64, -374997/1280, 27757/256, 36937669/1920, 9474323/3840, 101/16, 
  -307/48, 1825/64, -4925/192, -832299/256, -128219/384, -269/32, 4229/256, 
  3863/256, 117/32, 461/16, 10903/256, -42023/512, 351/32, -23239/128, 
  110769263/15360, 776647/1280, 12406823/3840, 11512561/5120, -411891/256, 
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  -15/4, 1/2, -13/2, 29/4, 21/4, -25/2, 9/2, 19/2, -19/4, 4, 0, 0, 9/16, 
  15/4, -9/16, 0, 0, 0, 0, 0, 0, 833/96, 2657/192, 2215/192, 111/64, -237/32, 
  23/64, -111/64, 13/4, 3665/576, 221/6, 0, 59/8, -2249/576, -221/6, -143/8, 
  -59/24, 29/4, -9/4, -179/8, 97/96, 3593/576, 8173/192, 109/24, 105/16, 
  243/32, -193/64, -111/64, -1/2, -3, 0, 0, 0, 0, -215/16, -51, -61/4, -39/2, 
  59/8, 0, 3/8, -15, 165/16, 0, 1/2, 39/2, -165/16, 25/8, -9/2, -4, 6, 
  -155/8, -57/16, 3/2, -119/8, -8, 0, -311/16, 119/16, 0, 101/16, -143/8, 0, 
  13/2, 9/8, 4, 3/8, 1, -241/24, 21/16, -433/24, -37/16, -17/4, 99/16, 17/4, 
  265/24, 569/48, -1, -951/32, 32, -33, 443/32, -26, 33, -6, -43/16, 77/12, 
  203/12, 449/12, 125/8, -59/3, -1529/48, -125/8, 11/4, -89/16, 0, 49/8, 
  -69/4, 169/12, -7/8, 263/8, -21/4, 35/8, 15/2, -805/48, 15/8, -28, 21/4, 
  -43/4, 43/16, -39/8, 0, -12, -9/4, 1/32, 77/8, -105/32, -7/4, -95/8, 57/4, 
  -57/4, 0, -28, 107/8, 75/4, -6, 51/4, 55/4, 69/32, -9/16, -15/32, 217/32, 
  -33/2, -27/32, -3/2, -139/16, 27/4, 21/16, -3/4, 0, 0, 0, 0, 0, 0, -3/2, 
  57/4, -17/4, 3/4, 0, -40, 25, -3, 33/2, -28, -17, 0, 55/4, 55/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -139/24, 3/2, 105/8, 
  0, 11/2, 3521/576, 2383/48, 0, 55/8, -3257/576, -2383/48, -93/8, -11/24, 
  -3/4, -15/4, -483/8, 155/16, -31/144, 3015/32, 723/32, 531/64, 3/16, 
  -109/32, -111/32, 101/8, 4817/96, -349/8, -617/16, -8595/64, 3/4, -4241/96, 
  -373/8, 4089/32, 393/4, -13/8, -153/8, -25/48, 15/4, 25/4, 0, -61/8, 7/2, 
  1193/64, 39/8, -153/32, -101/12, 9/2, 715/32, 19/4, 91/2, -8, -7/4, -19/2, 
  -529/24, 49/4, -35/2, -21/2, -95/32, 553/32, 225/8, -133/8, 81/16, 21/2, 
  195/32, -25/12, 199/16, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9/64, -3/64, 
  17/4, -1/2, -21/8, -73/32, -103/8, 25/4, 105/32, 1/4, 83/8, 0, -5/2, -6, 
  1/8, 1/8, 11/8, 0, 3/2, 0, -23/8, 1/2, 13/4, 37/8, -11, 115/8, -61/8, 
  -375/16, 489/16, -273/16, 0, 0, 0, -3/16, -11/16, -57/64, -3121/64, 
  2405/48, -537/32, 8041/96, -2315/192, -685/288, 857/64, 87, -3101/64, 
  -2807/48, 1955/96, 1883/576, -4373/48, 14609/192, -1463/192, -521/48, 1/4, 
  3/2, 0, 0, 0, 0, 0, 61/36, 767/192, -47/64, 25/9, -223/16, -1187/32, 
  -455/32, 0, 0, -15/8, 1375/576, -2347/288, 0, -13/4, 2177/576, 2347/288, 
  137/16, -37/6, -55/16, 3/32, 5/16, -1/4, 0, 0, -29/4, -205/16, -63/2, 
  261/16, 2963/32, -137/8, -8, -10, 127/8, 3037/32, -53/2, 24, 21/2, 
  -4975/144, -12371/144, -9805/144, -983/48, 5971/144, 956/9, 6353/72, 
  983/48, -83/12, -325/16, -967/48, 0, 0, 25/4, 193/16, -35/2, 0, 0, 39/4, 
  89/8, -24, 0, 0, 0, -9/8, -1/4, 7/8, 145/64, 77/16, -3/8, -105/64, 17/8, 
  -83/16, 0, 1/2, -7/8, -25/8, 11/8, -13/4, 1/4, 45/8, 1, 5/4, 5/8, -5/8, 
  35/8, 3/2, 13/16, 0, 11/4, -1/12, -41/12, 15/4, -1/4, 9/4, -9/4, 0, 13/4, 
  0, 0, 0, -13/4, -12, 267/8, -79/8, 8, 263/16, -91/4, -199/8, -123/16, 
  59/16, -81/8, 13/4, -7, 1/2, -2, 3/2, -315/128, -9/16, 57/128, 3/32, 3/4, 
  15/4, -141/32, -1079/128, -3/8, -3/2, -47/8, 197/128, 315/64, -3/64, 75/32, 
  12, -7/32, -9/8, 0, 0, 0, 0, 3/4, 0, 0, -1/2, 0, -1/4, -61/8, -69/2, 
  -553/12, -69/8, 3/8, -21/8, -1/4, -37/8, 271/16, -197/16, 0, 63/8, -6, 
  33/4, 7/8, -113/8, -37/4, -305/48, 21/4, 7/4, -95/8, 0, 57/8, -1391/24, 
  23/4, -3/2, -103/8, -31/16, -105/32, 29/8, -15/2, 3/2, 0, 0, 0, 0, 0, 0, 
  12, 129/2, 33, 3/2, -1/4, -1/4, 0, 81/2, 129/4, 9, 5/4, -54, -28, -2, 9/2, 
  -1, -3/2, 0, 0, 0, 5/4, 3/4, 17/8, 7/8, 5/2, 0, -12, -885/16, -109/16, 
  -165/4, -4, 1/4, 1/8, 7/16, 49/8, -1/8, -30, -119/4, -5/4, -41/4, -5/4, 40, 
  2, 30, 13/4, -2, -5/2, 3/2, 5/2, 3/2, -3/2, 0, 0, 0, 0, -3/8, -9/8, 0, 
  -17/8, 0, 89/8, 0, -15/2, 9/4, 1/8, 63/8, 41/4, 3, -89/8, -27/8, 63/16, 
  -45/8, -4, 3/2, -3, 33/8, 57/4, 83/8, 99/8, -10, -35/4, 31/4, 5/8, -15/2, 
  95/16, -121/8, -85/8, 4, 49/8, -21/8, 165/16, 75/4, 27/4, -7/2, -63/8, 
  -1/8, -133/48, -119/96, -61/96, 55/32, 235/96, 0, -1/16, 1/8, -3725/576, 
  929/96, 5839/288, -719/384, 67133/1152, 14809/288, -5839/288, 15155/384, 
  -29491/1152, -4399/72, -1221/32, -629/24, 7/16, 3/8, -7357/576, -130/3, 
  -61/96, -20423/576, -19609/288, 713/16, 6367/288, 118151/1152, 24137/1152, 
  -1/2, 1/8, 235/96, 27373/1152, 2729/384, -10631/384, 0, -1/16, -73/64, 
  -9/8, 4051/576, 2915/96, 509/96, -3/16, 2105/192, -3121/144, -509/96, -5, 
  -4919/288, -2503/288, 27/2, -11/12, -115/16, 3/8, -2497/576, 259/24, 
  -61/96, 6299/1152, 23327/1152, -153/16, -197/32, 1225/144, 145/16, -1/2, 
  1/8, 235/96, 17815/1152, 2729/384, -8165/384, 0, -1/16, -73/64, -539/36, 
  433/8, 0, -11921/96, 2339/16, -411/64, 1649/24, 13697/1152, 61/8, 1/2, 
  -535/48, -431/24, 1973/288, 3/8, 1/8, -2363/96, 0, -1/16, -19175/1728, 
  79109/2304, -5347/48, 5519/64, 19175/1728, 1/4, -15941/384, 1/8, 0, 5/4, 
  -5511/256, -3479/192, 3/4, 3191/192, 5/8, -43/8, -1343/576, -2009/288, 0, 
  21/16, -5897/576, 5141/144, 2009/288, 7/8, 15953/576, -6407/192, -53/8, 
  -145/12, 61/16, -5/8, -243/32, -123/16, 61/36, -35/16, -951/32, 3635/192, 
  -55/16, 2679/64, 201/16, 0, 0, -223/16, 87/32, -1837/32, -337/16, 0, 0, 
  -95/384, 11491/384, -3857/2304, 539/72, -26689/768, -39307/768, 34163/256, 
  -2645/128, -14851/384, 12247/192, -267/8, 371677/2304, 71045/384, 
  -119087/768, -2541/32, 155/8, -4531/72, 0, 11651/384, 47117/768, 77879/768, 
  -31055/576, 21505/384, -14741/256, -260927/2304, -88271/384, 8225/96, 
  20095/288, 103187/2304, -136651/768, 32081/768, 137317/2304, 6271/192, 
  43/32, 841/192, 85/18, -341/64, -1/4, 0, 5/16, -311/16, 157/36, 9065/144, 
  -13/8, 1505/48, 7793/72, -65/16, 1619/48, 43/8, 29/16, 3361/192, 26071/576, 
  -1343/9, 307/64, -1447/96, -164297/576, 51/8, -4399/48, -43/8, -473/64, 
  -809/16, 3559/48, -4001/192, 98461/576, 695/12, 357/64, 97/8, 97/16, 0, 
  109/8, 655/64, -509/6, 2627/64, -8325/64, 37/2, -221/16, -417/8, 1613/24, 
  -2515/64, 8517/64, -37/2, 2249/64, 141/8, -3, 0, -359/16, 99/2, -1791/64, 
  -132, 109/2, 359/16, -117/2, 243/4, 2475/64, 495/4, -38, 9, -243/2, -111/4, 
  243/4, 23/4, 1567/96, 593/72, -193/16, 1, 0, -49/8, -685/64, 163/24, 
  1293/32, -33721/192, 5/8, -1019/64, 747/64, -619/12, 115/3, 15/16, -59/6, 
  451/9, -4975/144, -61/16, 883/12, -3221/36, -15/8, -2951/48, 19/4, -55/8, 
  10, -65/12, 5971/144, -277/16, -2255/48, 8737/72, -13/16, 88, -19/4, 195/8, 
  9/2, -83/12, 133/8, -225/8, -1273/48, -35/2, 0, -15/4, 0, 235/384, 
  1243/128, -3375/128, 301/12, -3351/128, -19205/384, -977/64, 43/4, -229/12, 
  -89/2, 0, 0, 0, 1/8, -1/8, 1, 13/8, 5/8, 0, -71/8, -67/8, -3/16, 47/16, 
  49/8, 277/16, 137/16, -97/16, -289/16, -193/24, 11/24, -25/48, -15/4, -12, 
  -27/4, 0, 5/2, 8, 9/2, 5, 16, 9, 13/16, 23/16, -139/16, 35/16, 11/4, 
  -247/16, 183/16, -87/16, -1/8, 43/24, 0, 23/16, -91/16, 43/8, 269/48, 
  -543/16, 1067/16, 55/8, 977/16, -97/4, -407/16, 0, 0, 0, 0, 0, 0, 0, 47/16, 
  4, -201/8, -101/32, -85/6, 21/8, -1/24, 19/16, -35/4, -449/16, -305/16, 
  47/16, -221/24, -125/8, 353/48, -361/16, -643/48, -45/16, 9, -7/8, 6, -6, 
  -201/8, 1333/48, 527/16, -1411/48, -309/16, -3/2, 81/32, -119/12, -85/6, 
  -931/32, 161/12, 733/32, -277/96, -1/24, 13/24, 1/4, 1/3, -13/12, -1/2, 0, 
  -5, 101/48, -77/48, -3/4, 9/8, 3/8, 63/16, -239/48, -35/16, 0, 0, -29/8, 
  33/8, 9/8, 579/256, 1/8, -395/256, -1, 189/128, -6, -81/256, -115/256, 
  111/128, 27/32, 3/32, -3/64, 455/256, 3/2, -45/256, -3/8, -1/8, -5/8, 
  -17/8, 0, 39/64, 87/8, 419/64, -987/64, -117/16, -15/2, 3/2, 303/64, 
  -15/16, 1331/64, 63/8, -61/8, -2209/192, -57/4, 213/32, 177/32, -47/12, 
  61/32, -179/24, -411/32, 0, -1/24, 21/16, 495/64, -41/16, -7/16, -5/16, 
  53/32, 43/4, -3/4, -43/4, 0, 9/4, -9, 9, -9/4, -27/8, -75/16, 0, -15/16, 
  -835/48, -45/4, 521/48, 89/8, -601/48, -1/8, 1595/64, 21/16, 6, 117/4, 
  -9/8, -61/8, 577/48, 2365/48, 215/8, -611/48, -225/8, -19/2, 2077/192, 
  -937/192, -249/16, -39/4, 47/32, -667/96, 213/32, -391/12, -1335/32, -25/4, 
  2029/64, 117/32, 235/192, 383/32, 373/48, 61/32, 1493/32, -121/12, 
  -1391/64, -335/96, 0, -467/48, 15/16, 17/48, -241/8, -25/24, 56, 5/8, 
  -179/16, -1/16, 119/8, 637/16, -441/16, 1393/192, -1297/96, 11/96, 1, 
  -253/48, 221/16, -383/96, -63/16, 0, -55/48, -27/8, 1151/48, 21/4, -835/48, 
  -15/4, 535/48, 461/48, -83/32, -64/3, 121/16, 43/16, -199/48, -347/48, 
  253/48, -337/48, -45/16, 73/8, -19/4, 115/24, 3, 9/8, 1/16, 5/16, 35/8, 
  -471/16, 267/16, 1/4, 1/2, -277/16, 315/16, -5/8, -59/16, 137/16, 1/4, 
  15/8, 0, 1, -367/48, 283/16, -21/16, -809/48, 57/8, -1, 67/8, -2893/192, 
  -1927/96, 873/64, 43/32, -121/8, 1087/64, 1633/192, -197/48, 1047/64, 
  -803/192, 265/96, -99/64, -371/24, 1837/32, -4583/48, 2179/32, -367/16, 
  703/16, -26419/192, 14551/96, -10307/192, -547/12, 3781/32, -1007/16, 
  2087/96, -2457/64, -445/96, -3149/96, 2025/16, -14825/96, 1387/24, 4531/32, 
  -1689/8, 8063/96, -2651/16, 2055/32, 2731/48, 11983/96, -2355/32, -253/6, 
  -5387/24, 1487/32, 9565/96, -9/8, 9/16, 9/8, -341/32, -87/8, 1, -13, 25/6, 
  -331/48, -623/96, 507/32, 61/6, 793/96, 887/96, 281/48, -51/32, -51/8, 
  -21/16, -13/16, 0, 3149/192, -169/12, 67/24, 6559/384, -3419/192, -119/64, 
  -5647/384, -345/64, -859/384, 47/24, 43/32, -5765/384, -341/96, -1193/96, 
  875/384, 673/96, 269/192, 115/32, -265/96, 703/192, 75/64, -349/192, 
  859/96, -1633/96, -341/48, 1133/64, 53/6, 4537/192, -8059/192, 133/48, 
  -2259/64, 2611/96, 79/4, -3811/192, 617/96, 437/24, -19939/384, -2611/48, 
  -3995/96, 1675/384, 1153/96, 15/2, 1265/48, -2173/192, 23867/384, 1569/64, 
  -685/96, 33/64, 21/4, -8729/192, -251/24, -5501/192, 2995/64, 7/32, 
  14767/192, -7793/96, -367/6, -483/32, 3725/32, 19627/192, 4363/48, 
  2321/192, 1655/192, 371/32, -809/8, -8351/192, -7/4, 343/32, 21649/192, 
  433/16, 4235/96, -55/192, 955/24, -25, -17623/192, -1787/96, 457/32, 27/8, 
  207/32, 27/8, -27/8, -17/8, -35/4, -137/32, 33/16, 0, 5/16, 187/48, 463/48, 
  -17/6, -33/16, 5/4, -31/12, -871/96, 683/96, 21/4, -147/32, 785/96, 
  -169/16, 173/32, 15/4, 323/64, 463/64, -959/32, -423/16, -3/2, -64/3, 
  -8683/192, -1687/96, 19/16, 4759/384, 89/96, -131/8, -529/384, 35/4, 
  -2209/384, 787/192, 19, 3/2, 4711/384, -425/96, -39/4, -8059/384, 91/8, 
  317/384, -121/48, 1/8, 451/48, 15/2, 385/192, -7/16, -401/48, -123/32, 
  -161/16, 245/8, 513/32, 1835/64, -179/32, -831/32, -187/4, -3647/96, 
  -703/96, 105/16, 1187/64, 163/96, -99/16, 381/16, 3905/192, -1901/96, 
  -1703/32, -6749/96, -11129/384, 89/24, 13817/192, -5449/384, -1827/64, 
  -5933/192, -399/16, 2401/48, 205/3, 6539/128, -6295/192, 339/16, -53/192, 
  -1717/64, -1103/192, -1373/192, 41/8, -2601/32, -207/8, 165/8, -2795/96, 
  -473/32, -3283/192, -2437/96, -21/8, 2849/64, 7265/96, 4319/32, -2067/32, 
  -69/16, 6301/192, -4713/64, -4711/48, 339/8, 6965/192, 3829/48, 4291/64, 
  249/8, -3373/48, -3093/64, -19/8, -3841/24, -4141/64, 3295/48, 3853/48, 
  -9/8, 351/32, 63/16, 9/8, 17/16, 1/2, 35/8, 9/4, 0, -143/24, 115/16, 
  -1337/96, -9/4, 665/48, -1193/96, 917/96, -959/96, 455/96, 33/32, 13/4, 
  17/64, -605/32, -423/16, 1/8, -779/64, -2527/192, -1561/96, -1, 4643/384, 
  325/48, -3, -2449/384, -29/8, -129/64, -65/192, 19, -7/16, 111/8, -11/96, 
  -5/4, -7807/384, 67/16, 821/384, -121/48, 13/16, 79/12, 49/16, 385/192, 
  -7/16, -31/16, -85/6, 451/96, 1477/96, 357/32, 191/24, 8843/192, 11/12, 
  -491/48, -449/48, -3131/64, -91/24, 127/48, 1351/96, -27/8, 587/48, 
  6221/192, 109/24, -1299/32, -8429/192, -10673/384, -3649/96, 10921/192, 
  -1739/384, -579/32, -271/12, -3699/128, 2065/48, 12665/192, 21109/384, 
  -2861/64, 4181/192, -383/192, -2491/96, -1187/192, 95/48, -7231/192, 
  -621/16, -2041/48, -2941/192, 6677/96, 203/96, 2339/64, -3157/96, -95/8, 
  1003/192, 1379/32, 4595/32, -703/24, -93/8, 5599/192, -2797/64, -3143/32, 
  2821/64, 463/12, 2171/192, 1907/96, 979/48, -13033/192, -3159/64, 3241/48, 
  -13357/96, -2611/48, 2379/64, 5851/64, -6983/96, 483/16, -953/24, 2795/96, 
  -135/16, 0, 0, 0, 0, -9/32, 3097/384, 865/192, 147/128, -1187/384, 21/64, 
  7787/144, -2791/192, 20657/1152, 287/128, -10839/64, -9433/576, -9163/768, 
  35695/384, 8815/256, -4133/192, 2863/576, -408121/2304, 283201/2304, 
  -9327/256, 9663/256, 35807/768, 14507/192, -8857/192, -30689/384, 2035/96, 
  20989/384, -20045/576, 61079/768, -22325/768, -120749/1152, 37307/768, 
  -5683/768, -219/4, 86107/2304, 1807/192, 65/48, 59/32, -3/16, -3/4, 0, 
  1/16, -1/2, 9/8, -3/8, -21/8, 95/16, 9/4, -1/8, 1253/1152, -145/96, 
  -343/36, -1/16, -371/1152, -19403/768, -2729/72, 343/36, 1/4, -22123/1152, 
  18983/2304, 11351/288, -27/32, 3689/192, 255/16, 21/32, 7/16, 0, -1/16, 
  3787/1152, 1841/96, 61/96, 5/16, 17311/1152, 58699/1152, -1499/144, 
  -515/288, 3851/288, -106165/2304, 3373/192, -4337/576, -1201/384, 5/16, 
  25/64, -235/96, 0, -31895/1152, -23443/768, -4843/288, -19531/1152, 
  -8299/1152, 0, 1/16, -1/8, 137/128, 191/24, 0, 5/4, 1879/768, 45413/2304, 
  847/576, 6847/2304, -84805/4608, -27205/1536, 28147/2304, 167/128, -71/32, 
  -3061/384, -45077/2304, 68645/2304, 174997/2304, 469/12, -223/192, -137/32, 
  7897/256, 5099/384, -171761/2304, -68579/2304, -5053/576, -47353/1152, 
  30577/1152, 8341/576, -6923/768, 43861/2304, 48481/1536, 92261/768, 
  599707/4608, -2179/576, -1909/128, 1499/384, -5345/144, -217693/1536, 
  -295171/4608, 41011/1536, 11831/2304, 4963/192, 39151/2304, -2125/288, 
  7521/256, -843731/4608, -308267/1536, 300599/1536, 7453/192, -21769/1152, 
  383473/1152, -599825/4608, -120919/2304, -1871/384, 32795/384, -30907/384, 
  -14329/384, -9, 1/2, -4075/1152, -307/24, -49/24, -1/2, -7/128, -241/576, 
  49/24, 11/8, 173/576, 7609/576, -45/8, 79/24, 17/4, -3/8, -1073/1152, 
  -757/96, 61/96, -1/4, -3061/1152, 32501/2304, 55/6, -7/8, 1087/72, 
  -3667/144, -97/32, -253/24, 47/16, 5/16, 25/64, -235/96, 1/16, -5213/288, 
  -2659/768, 613/384, 7733/288, -403/128, 0, 1/16, -1/8, 137/128, 431/96, 0, 
  3/4, 16249/1152, 11047/256, 873/256, 6847/2304, -181/16, -15593/768, 
  -51623/768, 189901/4608, -233/96, -49247/768, -19603/384, 2501/96, 
  37849/384, -159/32, -71/32, -48455/2304, -29681/2304, 28631/768, 
  112847/2304, 171343/2304, -904111/4608, 2399/192, -4831/1536, -74617/768, 
  -159/32, 78947/2304, -5293/384, -151481/2304, 52575/256, 558989/4608, 
  -7621/576, -47353/1152, -63941/1152, 8341/576, 253/64, 8281/256, 
  137495/1536, 282509/2304, 2005/128, -62755/288, -45347/768, -11033/256, 
  255497/1152, -795/256, -5203/192, -292267/2304, -895/48, 1987/64, 
  392311/1536, 162419/1536, 27685/576, -20923/96, -126893/576, 45007/576, 
  -2189/128, 1069/512, -85739/512, 33121/384, 145265/2304, -42463/1536, 
  -3869/128, 651157/4608, -121231/768, 15197/512, -6755/384, 117145/1536, 
  -37559/1536, 7231/4608, -1001/384, 1/32, -21/64, -9/16, -337/96, 1787/192, 
  0, 2927/288, 0, 0, 551/384, 8777/384, 3625/192, 1259/144, -1157/64, 
  -12247/128, -4091/96, 21551/1152, 52141/384, 4601/288, 229/16, 401/128, 
  -179/24, 971/192, -9557/64, 1595/64, -23273/1152, 33731/144, 2315/48, 
  -6367/128, 4319/128, -1171/36, 27457/288, 87, 171/16, 8801/288, -1/64, 
  27/128, -553/384, -64/9, 337/192, -883/192, 1/2, -2927/576, 0, 0, 1/16, 0, 
  -3/4, 3/4, -57/16, 1/8, 217/48, 115/16, -4921/144, 1/4, 779/48, -11873/144, 
  -259/9, 51/16, -2945/48, -112/3, -27/16, -121/24, -15/8, 1/64, -647/384, 
  -21503/1152, 11699/288, -9/32, -219/128, -8051/384, 40115/576, 7469/96, 
  -569/128, 983/16, 145441/1152, -3, 1325/48, 15/8, -85/48, 5431/1152, 
  585/64, 3/2, 4463/384, 2177/64, -25907/576, 3211/384, -100189/1152, 
  -361/16, 1969/288, 1/16, -39/32, -1927/192, -259/64, -187/96, -2927/576, 0, 
  0, 0, 279/128, 9737/192, 6013/768, 44851/288, 4649/768, 328505/2304, 
  -757/384, 39557/768, -137/24, -3215/192, -35419/576, -30739/384, 
  -132533/768, 156917/2304, -249587/2304, -1473/32, 21341/576, 15649/768, 
  42805/256, 93721/1152, -170879/2304, -9215/1152, 4315/288, -139225/1152, 
  -269/18, 20453/768, -1767/32, -15055/96, -193/36, 26407/768, -130003/1152, 
  3857/256, -1547/32, 18683/144, 241579/768, 6949/1152, -133175/1152, 
  24733/256, -3683/288, -391577/2304, -4331/64, -22769/1152, 585/4, 
  -170861/2304, 365/36, -7529/96, 70063/768, -70951/576, 136403/768, 
  -68459/2304, 12451/288, -349/4, 467/6, -337/288, 9/2, -435/64, -2269/384, 
  2771/72, -9/32, -3367/128, 11263/192, 14077/288, -3845/128, 24443/384, 
  -113/16, -1/64, 2241/128, 603/64, 3/2, 859/128, 1447/48, -22871/576, 
  2413/128, -24443/384, 113/16, 337/192, 1/16, -39/32, -4243/192, -587/64, 0, 
  -2927/576, 0, 0, 0, 231/64, -11545/256, -4947/64, 87/64, 3523/384, -927/8, 
  2071/32, 21775/768, 30719/128, -487/16, 2443/384, 5083/256, 55717/768, 
  3265/192, -1583/192, -6759/128, -158057/1152, -2749/96, -67073/768, 763/72, 
  -519/128, -27983/576, -20311/768, 33995/384, 75233/1152, -34523/576, 
  -3965/1152, 6121/288, -48571/384, -4475/288, -231/64, 11929/256, 3033/32, 
  2505/64, -451/384, 30509/256, -945/32, 7517/768, -48555/256, 215/48, 
  -4573/256, -9661/64, -4139/64, 44731/384, -114223/576, 81155/768, 
  22321/384, 2159/32, -59141/288, -647/9, -3/2, -711/64, -2607/16, 1871/256, 
  -1639/32, -4463/256, 78145/768, 12211/64, 104387/288, -25643/256, -51/8, 
  1959/16, -171/32, -104875/576, -23/4, -51/8, -4, -9/16, -1, 397/16, 
  1063/48, 419/48, 9/16, 23/6, -1811/48, -92/3, -227/48, -113/48, 655/24, 
  715/48, -121/24, -69/8, 73/16, 1, 417/32, 425/32, 61/16, 9/16, -299/24, 
  -2767/48, -5525/96, -109/24, 1993/64, 3273/64, 2389/48, -4073/96, -627/64, 
  4799/192, -1, -3403/192, -1537/96, 3/16, 3683/192, 18889/192, 2111/48, 
  -145/4, -11099/192, 5461/192, 43/32, 4283/192, 437/48, -7517/384, -137/2, 
  7495/384, -197/48, -1139/96, 5479/384, 265/96, 23/4, -159/16, -63/2, 
  -207/4, -457/16, 1019/48, 2147/24, 207/4, 2147/48, 49/12, -1391/24, 
  -721/24, -123/8, 65/8, -279/32, 2299/48, 6407/48, 207/4, -2559/16, -517/8, 
  1151/96, 1249/192, -7559/96, -4895/48, -271/32, 1671/64, -161/24, 1305/32, 
  305/12, 203/64, 249/16, 359/8, 1581/16, -751/16, -1135/6, -1581/16, 
  1525/48, 3463/24, -19/48, -5927/96, -4375/24, -1581/16, 6761/24, 2469/32, 
  4757/48, 1649/12, 197/8, -5081/96, -207/16, -399/8, 4451/48, 399/8, 
  -1915/24, 48, 399/8, -5513/48, -561/16, 27/8, -27/8, -27/8, 23/4, 47/8, 4, 
  9/16, -17/16, 59/8, -165/8, -1315/48, -197/48, 409/48, -1489/48, 1207/96, 
  815/48, -233/16, 14231/384, -67/128, 4015/384, -3581/384, 17/16, -1, 
  -233/32, -221/32, 3/16, 55/16, 631/192, 785/24, 805/16, 1445/192, 4517/384, 
  16579/384, -791/32, 5185/192, 805/48, 0, 2005/192, 437/48, -10, -517/192, 
  -1673/32, -867/64, -15961/384, 3859/192, -43/32, -1139/96, 1313/192, 
  611/384, 4855/384, 265/96, 77/64, -19/8, 311/16, 239/8, 207/4, -79/8, 
  -3641/96, -4895/48, 1727/192, 1305/32, 203/64, -27/8, -129/4, -431/16, 
  -1581/16, 519/32, 6329/96, 3259/24, -203/8, -2515/48, 401/32, 123/16, 
  -235/16, 399/8, -607/32, -75/4, 361/32, 181/16, -27/8, -181/16, -1/8, 
  -5/16, -5/8, 17/8, -1/8, -7/16, 73/16, 253/16, 227/16, -1/8, -253/48, -1, 
  -2927/96, -165/16, 6205/384, -4247/384, 4073/384, -3509/384, 2693/384, 
  -41/128, -35/8, -39/32, 73/16, -10, 1/16, 1801/96, -6751/192, -873/16, 
  -851/32, -1357/128, -2759/384, -8165/384, -3287/192, -4375/192, 1823/384, 
  435/32, 7/8, 37/8, 67/16, -4249/192, 2897/48, 1721/32, -345/64, 2191/128, 
  3555/128, -1241/96, 107/96, -137/32, -101/384, -14069/384, 3307/384, 
  343/96, -11/48, 1475/384, 25/96, 3/8, -143/8, -439/16, -87/8, -61/6, 
  733/12, 2069/48, 235/16, 439/12, -1801/24, -401/4, -629/12, 183/16, 209/8, 
  489/32, 1605/32, 49, 85/8, -8683/192, 1357/96, -4883/64, 3217/64, 5077/192, 
  965/96, -7313/192, -10319/192, -955/32, 3397/96, -2155/48, -2/3, 1223/48, 
  3533/192, 1623/64, -195/64, 411/16, 269/16, -75/16, -1213/12, -1051/24, 
  -203/12, 454/3, 9749/48, -2305/48, -7439/96, -2107/48, -73/8, -1541/24, 
  9683/96, -11/8, 6517/96, 2255/96, 15643/96, -193/12, 345/16, 405/16, 
  -279/16, 2275/48, -3659/48, -325/8, -14, -891/32, 305/16, -45/16, -597/16, 
  45/16, -1/16, 9/16, -13/8, 35/16, 1/16, 3/16, 5/12, -197/8, -613/32, 21/16, 
  107/96, -215/12, 377/128, -163/24, 519/128, 71/16, -127/32, -7/8, 67/16, 
  -367/96, 3643/192, 1795/32, -503/384, 2033/96, 311/48, -277/32, 7/16, 
  -137/32, 485/192, -12857/384, -85/384, 193/48, -11/48, 677/384, 25/96, 
  23/4, 51/8, 4, 9/16, 5/4, -305/16, -757/48, -227/48, -23/8, 56/3, 715/48, 
  -33/16, -69/8, -17/16, -47/16, -11/32, 213/32, 99/8, 287/24, -397/192, 
  26507/192, -595/32, 2945/192, 1735/96, -197/32, -2099/192, -1991/96, 
  2209/48, -11759/64, -731/64, 2057/192, 1057/192, 11645/384, 119/64, -23/4, 
  159/16, 63/2, 207/4, 367/16, -271/24, -1391/24, -65/3, -123/8, 31/4, 
  -459/32, -1229/24, -3163/24, 14597/192, -47887/192, -3011/192, 1907/64, 
  8969/96, 21479/96, -1189/192, -249/16, -359/8, -1581/16, 251/8, 3463/24, 
  -19/48, 2873/96, 3811/24, 11893/96, -2131/48, 207/16, 399/8, -1915/24, 
  -371/8, -27/8, 23/4, 51/8, 4, 9/16, 1, -397/16, -1063/48, -419/48, -9/16, 
  -7/2, 1811/48, 92/3, 227/48, 31/16, -655/24, -715/48, 11/8, 69/8, -13/16, 
  -1, -233/32, -221/32, 3/16, -3/16, 321/16, 1399/48, 999/32, 6, 5/2, 
  -9613/192, -5087/192, -2785/96, -103/16, 2687/48, 1527/64, -7/4, -1421/64, 
  1/8, 0, 2005/192, 437/48, -3/8, -1323/64, -3713/64, -845/48, 437/96, 
  625/32, 277/6, -667/64, -1391/64, 103/64, -43/32, -1139/96, 15/32, 
  12067/384, 491/32, 83/12, -3289/192, 1009/192, 265/96, -61/64, -1793/96, 
  -187/48, 295/192, -23/4, 159/16, 63/2, 207/4, 457/16, -1019/48, -2147/24, 
  -207/4, -2135/48, -49/12, 1391/24, -1, 709/24, 123/8, 1/2, -63/8, 95/32, 
  -911/24, -4895/48, 3421/24, -8417/64, -223/16, 539/64, -679/192, 1305/32, 
  -4709/48, 2831/48, 1067/64, 203/64, 697/96, -701/192, -821/192, -249/16, 
  -359/8, -1581/16, 751/16, 1135/6, 1581/16, 3/4, -1525/48, -3463/24, -3/8, 
  19/48, 4433/96, 1649/12, -2375/12, 43309/192, 263/192, -5081/96, 117, 
  -7191/64, -305/12, 207/16, 399/8, -4451/48, -399/8, 0, 1915/24, -561/16, 
  2397/32, -9967/96, -2377/96, -27/8, 27/8, 9/16, 25/256, -1, -41/32, 
  -1963/512, -701/256, 75/32, 137/24, -4385/512, 12113/1536, 331/128, 
  -1291/96, 28331/1536, -4975/768, 469/48, -991/192, -33/32, -3/256, 0, 
  3593/512, 127/32, 225/32, 763/192, 687/128, 5239/384, -9/512, 4823/768, 
  -835/192, -43/32, -4093/768, 13/16, -9103/1536, 527/384, 155/192, 3/64, 
  799/192, -5/12, -551/384, -349/192, 9/32, 1/2, -331/96, 29/6, 185/96, 
  -3/16, 3/32, 437/96, -1139/192, 265/192, 1/2, -29/16, 61/16, 205/32, 15/32, 
  -241/16, -115/96, -261/16, -811/48, 69/32, 125/6, 35/48, 2113/96, 457/48, 
  -331/24, -65/32, -461/48, 3953/384, 1/2, -17/32, 11/32, 17/16, -197/16, 
  -103/32, 1, 499/16, 1547/96, 609/64, -315/32, -41/6, -1201/64, -2935/48, 
  -1415/96, 473/48, -1577/384, 1323/64, 115/24, 157/64, 21/8, 217/64, -55/8, 
  -269/64, 0, -351/8, 4601/192, 27/4, 8/3, 2983/64, 711/64, -223/64, -729/32, 
  -285/64, -769/192, 77/16, 43/32, 1201/128, -121/32, -1187/96, -271/64, 
  787/96, -55/96, -265/96, 79/32, 71/64, -1/2, 5/8, -97/8, 135/16, -257/32, 
  9/32, 14/3, -103/24, 2225/96, -117/8, 249/32, -315/32, -13/96, 131/8, 
  -367/96, 119/32, 1361/96, -415/96, -139/96, -139/16, -3/16, -5/32, -3/4, 
  -77/12, -513/64, 839/64, -713/48, -1945/96, 1261/192, 1699/128, 11/64, 
  -49/24, 2347/192, -2989/96, -44/3, 371/48, -3233/384, 277/192, -161/16, 
  25/64, 6437/192, 65/24, 21/64, 539/64, -1267/96, -103/192, -1/2, -9/8, 
  -133/4, 219/4, 207/8, -115/96, 459/16, -83/32, -3097/48, 277/24, -1787/32, 
  26, -151/8, 1123/24, 55/8, 3/32, -8099/96, -733/48, 24233/192, 13495/192, 
  -11461/192, -4945/96, -157/32, 1949/24, 5179/96, -1655/48, 899/32, 137/16, 
  -973/64, -311/32, -249/64, 107/16, 235/16, -2295/32, -1581/32, -1921/48, 
  1453/48, 4907/48, 6065/96, -1721/32, -1417/48, -521/32, 5599/48, 945/32, 
  -7693/48, 1169/12, -241/32, -2825/32, 2959/48, 127/8, 125/16, 30, 399/16, 
  -597/32, -583/12, 943/48, -91/4, -333/8, 987/32, 16, -27/16, -27/16, 27/16, 
  27/16, -1/32, -1/16, -3/32, 3/8, 1, 55/32, 127/32, 79/16, -21/32, -95/24, 
  539/32, -563/96, -15/4, -19/48, -3113/96, 55/48, 937/96, 2299/192, -379/64, 
  1/8, 5/32, -3/32, 3/16, -1/32, -15/2, -135/64, -267/32, 7/16, -2263/192, 
  -1219/64, -1651/96, 2, 3641/128, 3893/384, -557/32, -3401/192, 77/8, 0, 
  -1/8, 0, -3/8, 47/32, 697/192, -61/16, -19/16, 3143/192, 1769/192, -77/8, 
  -7393/384, 16, 0, 0, 1/16, -859/192, 37/24, -1/2, -19/6, 215/32, 0, 1/8, 
  205/192, 15/16, 0, 1/2, -17/16, -11/8, -211/32, -177/32, -179/48, 443/96, 
  -207/16, 451/48, 177/32, 9, -635/48, 1673/96, -269/96, 17/32, 1079/96, 
  -299/96, -553/48, -25/16, 167/32, 0, -65/32, -7/64, -125/16, 1/2, 7/3, 
  2915/192, -633/32, -193/16, -337/96, -1381/384, -8257/384, -551/192, 
  223/48, -477/64, 1373/128, 95/96, 1169/128, -51/16, 43/64, -75/64, 35/12, 
  0, -2063/192, -163/16, 827/96, 73/48, 1059/64, 9/16, -223/128, -1097/128, 
  -81/128, -265/192, 331/192, 43/64, 227/32, -479/192, -1187/192, 405/128, 
  1003/192, -265/192, 295/192, 71/128, -1/2, -473/48, 91/6, 983/96, 49/48, 
  -9/32, 13/6, 6689/192, -1241/64, 221/16, 339/32, 5/96, -3197/48, -259/64, 
  -2173/96, -751/96, 10523/192, 1075/96, 193/96, -143/8, 3/16, 37/32, 
  1033/48, -425/12, -4055/192, -3/32, -1319/96, -24695/384, -13541/384, 
  -7151/192, 12283/384, 173/3, 1353/32, -8689/384, -331/12, 267/16, -97/64, 
  -1111/96, 9989/384, -389/96, 4289/192, 14261/384, 743/16, -1191/32, 
  -11453/384, 377/48, 511/192, 803/192, 587/64, -6281/384, -10207/384, 
  10097/384, -593/192, -389/64, 985/128, 247/192, 365/48, -6697/192, 
  -515/192, -2447/48, -207/8, -3815/192, 23207/192, 2107/192, 2509/48, 
  4447/192, -24565/192, -1021/24, 179/32, 1927/48, -55/8, -647/32, 3849/32, 
  4361/32, 8107/96, 4123/128, -3883/24, -14543/128, -91/128, 11939/384, 
  -1111/48, 3761/192, -1565/16, -1883/24, 3/2, 1999/32, 5671/384, -875/96, 
  1437/64, -1021/128, 137/64, 2633/192, 10475/192, 6197/96, 1581/32, 
  -2385/64, -7303/96, -9091/96, -403/96, -365/32, 1417/48, -4205/64, 
  -4937/48, -5135/48, 10729/96, 3457/16, -2177/24, 5631/64, 5645/64, 
  -17753/192, -6911/192, -763/12, -175/16, -399/16, -1981/96, 583/12, 
  -943/48, 673/6, 239/8, 811/96, -583/12, -27/16, 27/16, -27/16, 27/16, 
  3/128, -2101/768, 0, -1/4, -259/384, 2101/768, 0, 1/32, 125/192, 0, 7/32, 
  0, 0, -1/16, 257/192, -63/256, 1/16, -67/64, -4735/768, 39/256, -1/16, 
  -139/48, -739/192, 7/32, -865/384, 0, -1/16, -3/128, -1/16, 421/192, 
  -75/256, -105/128, -13/6, -865/384, 0, 0, -45/128, 83/48, 43/8, 10649/1152, 
  -1031/576, -1103/2304, 1/8, -4793/256, -79681/2304, -23867/4608, 2647/1152, 
  -295/48, -10819/2304, -2137/144, -9073/4608, 47/4, 13423/384, 56659/2304, 
  -19/24, -579/128, -3/16, -37/32, -215/32, -5555/1152, 5717/384, 15181/768, 
  60197/1152, -59269/4608, -160411/4608, -1711/128, -78251/4608, -38317/768, 
  -9157/256, -20071/384, -21/128, 1/2, 2005/192, 6059/1152, -7511/192, 
  -2381/2304, 566513/4608, 293401/4608, 269141/2304, 43841/1152, -57/32, 
  -287/24, 80143/6912, -170027/1728, -380209/4608, 137/48, 39461/1728, 1/4, 
  4159/384, 13841/512, 86681/2304, 59/24, -37889/576, -42925/576, 6503/256, 
  -10255/768, 153839/2304, 207/8, -4291/256, 17147/768, 55/8, -5197/768, 
  -30703/768, -5765/144, -2863/1152, 17659/768, 702107/4608, 66995/768, 
  293077/4608, -63533/576, 2803/192, 4607/192, -3721/144, -130949/4608, 
  -293285/2304, -481079/4608, -111527/2304, 15293/6912, 21869/384, 88375/768, 
  -39461/1728, 235/128, 19873/1536, -33695/512, 7147/768, 16033/576, 
  4525/1536, 27119/512, -67147/1536, -1417/48, -11369/768, 12979/1536, 
  -22501/768, -148445/1152, 5165/72, 7015/1536, 114947/4608, 246797/4608, 
  51379/1536, -158009/4608, -803/128, 65497/1536, -69509/1536, -665/384, 
  943/48, 24751/4608, 8467/1536, -25127/1536, -98371/4608, 439/384, 27/16, 
  -2023/384, 1/64, -629/384, 259/72, -3/32, -5/128, 911/128, -1721/288, 
  -3/32, 0, -1257/128, 1099/288, 91/128, 1235/384, -337/192, 2891/576, 21/32, 
  -1/64, 1757/384, -75/32, -9/16, 19/128, 4/3, -2207/576, 29/128, -1235/384, 
  2927/576, 0, 337/192, 0, 21/32, -883/192, 1/64, 0, 0, -2927/576, 0, 0, 
  -241/192, -1875/256, -1445/64, 157/64, 9/32, -991/384, -9973/256, 2525/64, 
  -541/192, 2741/256, 37487/384, -113/8, -3397/768, -6781/128, -295/96, 
  63/64, 5957/768, 14789/576, 1879/64, 4711/288, -1879/256, -20971/768, 
  -72247/2304, 3763/96, -1849/768, -251/8, 16793/256, -1765/288, 27829/384, 
  101/48, 155/96, -72401/2304, -25651/1152, -1109/96, 643/128, 108403/1152, 
  1757/144, 44009/768, -2267/96, -21389/1152, -719/144, 4387/144, 181/64, 
  -9479/768, 241/384, -44825/768, 1085/576, 593/192, -1819/288, 3/32, 
  241/192, 1747/256, 677/16, 1843/64, 207/8, -253/128, 47365/768, -2413/192, 
  -2039/48, -193/256, -8287/96, -407/12, 191/48, 5279/256, -269/192, 
  -13699/256, -14627/192, -18133/192, 1049/48, -129697/1152, 75313/1152, 
  49627/768, 479113/2304, -9239/768, 8309/768, 6667/128, 61841/576, 
  -188557/2304, 73525/768, -248083/2304, -26615/2304, -5659/576, 117953/2304, 
  1159/288, 1/2, -1471/64, -307/4, -1581/32, 11981/768, -1177/96, 2711/24, 
  -4367/256, 247/48, 56723/2304, 17609/192, 19319/96, 42227/576, 
  -132725/1152, -6199/256, -9851/256, -20677/144, -6955/2304, 5137/144, 29/8, 
  1513/32, 399/16, -171/32, -1915/48, -39545/576, -879/8, 3871/48, 50201/576, 
  -27/16, 27/8, 23/8, 51/16, 2, 9/32, 1/2, -397/32, -1063/96, -419/96, -9/32, 
  -23/12, 1811/96, 46/3, 227/96, 113/96, -655/48, -715/96, 121/48, 69/16, 
  -73/32, -1/2, -233/64, -221/64, 3/32, -1/16, 45/4, 1201/96, 111/8, 5/32, 
  63/32, -10861/384, -19471/384, -5857/192, 37/48, 951/32, -43/384, 1207/384, 
  -6559/384, 221/128, 0, 2005/384, 437/96, 63/16, -179/16, -2507/128, -17/96, 
  -151/96, 3391/96, 14317/192, -1465/96, 1295/384, 4597/384, -43/64, 
  -1139/192, -277/32, 399/32, 397/64, -305/96, -99/2, 1571/128, 265/192, 
  643/192, -181/24, 1523/192, 105/64, 23/8, 363/32, 79/4, 423/16, 1, -153/32, 
  -2533/96, -1187/24, -207/8, -21/8, -355/96, 617/48, 1391/48, 1/16, 307/48, 
  123/16, 5/16, -65/16, -1, -739/64, -3097/96, -5261/96, -9/16, 29/32, 
  21025/384, 16389/128, 9337/96, 2587/384, -6029/128, 3373/128, -767/192, 
  679/96, 957/128, 1, 6127/384, 6989/192, -3/16, -623/64, -8089/64, 
  -12335/96, 1345/24, -33203/384, -2201/96, -43/32, -7957/384, -437/48, 
  787/48, 4145/48, 119/8, 197/48, 1139/96, -1403/192, -265/96, -23/4, 69/32, 
  145/16, 75/32, 365/16, 1169/96, 293/8, 1581/32, -529/24, -3001/96, 
  -3463/48, 33/4, 19/96, 279/32, -4763/192, -3109/48, -207/4, -8585/384, 
  -72371/384, -9367/96, 5917/64, -7829/384, -11401/384, -1249/192, 10037/192, 
  4895/48, 10013/192, 26379/128, 235/2, 161/24, -1305/32, -21929/384, 
  -203/64, -249/16, -1229/32, -591/8, 251/8, 9401/96, -399/16, -19/48, 
  1915/48, 5927/96, 15817/96, 1581/16, 575/8, -3527/48, -1997/96, -4757/48, 
  -1649/12, -3905/32, 5081/96, 207/16, 771/16, -1915/24, 27/16, -48, -399/8, 
  1603/24, 561/16, -27/8, 27/8, -45/4, 19/2, 7/4, -3/4, -3/4, -1, -247/8, 
  -273/8, -145/2, 7, 7/2, -6, -265/3, -45/2, 46, 0, 0, 0, 0, 0, 161/16, 
  167/8, 0, -495/16, -135/4, 33/2, 149/4, 15/8, -15/8, -3/2, -21/8, 225/8, 
  79/4, -27/4, 27/4, -10, 111/4, -27/2, -3, -45/4, -135/8, -12, -28, -225/8, 
  -105/4, -1, -15/8, 15/8, 3, 3/2, 353/32, -197/8, 3/8, 33/2, 14, 288, 0, 7, 
  -21/4, -23/2, 11/4, 35/4, 3, -7/2, -15/4, 15/2, -15/2, 0, 15/8, -15/8, -15, 
  15/8, 0, -3/2, -6, -3/2, 3/2, -273/32, 197/8, -3/8, 569/8, 1827/16, 
  -669/16, 463/4, 4, -4, -1015/32, -277/8, 3/8, -2537/32, -365/8, -73/4, 
  -93/8, 0, -15/8, -33/16, 15/8, -3389/12, 6813/16, 96, 0, 0, 0, 0, -35/16, 
  -35/16, 259/4, -1017/32, 3, 0, -6, 11/2, -17/2, 3, 3, -99/4, 3, 9, -6, 
  -3/2, 5/4, 7/4, 41/4, -609/32, -989/16, 1923/16, -221/8, 0, 0, 0, 260/9, 
  40/3, -3401/54, 0, -37/4, 755/64, 0, -131/32, 0, -493/64, 43/2, -29/2, 
  -37/2, 297/16, 635/18, -331/48, -23003/288, -116999/1728, 3/4, 409/16, 
  -27/16, 771/16, 183/2, -99/2, -357/4, 9/16, -111/4, 27/2, 231/8, -45/2, 
  -135/8, -12, 15/32, -69/32, -9/4, 5/4, -1, -15/16, 5/2, 681/8, -36, -25, 
  39/16, -69/16, -7/2, -327/8, 45/2, 12, -12, 45, 127/4, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 3/2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5539/16, -39/16, 
  -555/2, -219/16, -9, 1305/8, 57/16, -51/8, 27/16, -43, 1691/8, 29, -1637/8, 
  12, 0, -37/2, 3/2, 20, 26, -1/2, 13, 9/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  21/4, 127/2, -17/2, 69/4, -75/16, -18, 0, -27/4, 6, 0, 39/16, 11/2, 405/32, 
  0, 491/32, -55/4, 21/16, -9, 27/8, -83/8, 44, -3, -3/4, -215/8, 379/16, 
  31/4, -131/4, 6, 3/4, 151/4, 4, 0, 1/8, 53/8, -59/2, -13/4, -25/2, 3/2, 
  1/2, 15, 1, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 25/16, 
  -27/16, -45/16, 217/2, -487/16, -211/2, -1675/48, 5645/96, -24, -875/96, 
  -466/9, 0, 2171/96, 466/9, -27/2, 16429/144, -466/9, 0, 253/8, -35/2, 0, 
  -7/2, 21/2, 0, 21/2, 5/2, -7/2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -121/64, 
  -121/64, 35/8, 35/8, 0, -49/4, 0, 49/4, -121/64, 0, 70, -14, 0, 147/8, 
  -57/16, 411/128, -39/16, 401/16, 69/16, -51/4, -9, 51/4, 9, -499/32, 27/16, 
  -123/32, -21/8, 281/4, 5335/48, 59/4, -6461/32, -125/4, -245/8, -59/16, 
  -57/16, 1997/32, 883/128, -1017/32, -147/8, 691/16, -1135/32, -325/16, 
  -1299/16, 85, 7029/32, 9/2, 7259/48, 619/12, 0, -5033/48, 1649/48, 3379/32, 
  0, 9, -25/2, 9/2, -1, -2/3, 5/3, -1, -21/64, -135/64, 9/64, 45/64, -19/2, 
  -141/32, -3/2, -3/8, 0, 9, 81/32, 3/4, 15/32, -3, -63/32, -3/16, 9/16, 
  -21/128, 15/128, -75/128, -663/128, 849/16, -1493/16, 707/16, -9/4, 
  201/128, 33/128, 57/64, -171/64, 1/4, -1/4, 1/4, 1/2, 0, -3/4, 11/4, 12, 
  -1/4, -1/4, 0, -5/4, -3/2, 0, 41/2, 43/2, -10571/48, 985/32, -46931/32, 
  55087/48, -37/8, -513/8, -269/12, -27/4, 53/8, 231/4, 14127/32, -69739/96, 
  87815/288, -4931/32, 58873/144, 12303/32, -53/4, 429/8, 139/2, -168, 0, 0, 
  0, 0, 59/9, 10/3, -1327/72, -2615/216, 0, 0, 0, -67/3, -10, 407/8, 1/3, 
  -1/3, -75/64, 369/64, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -361/16, -487/32, 
  -5/2, 139/32, -201/32, -61/3, -7711/288, -35/6, 13907/288, -761/144, 
  959/24, -4603/864, 0, 0, 0, 0, 0, -4393/192, -2645/48, -10489/216, 
  3151/192, -30791/1152, 37063/216, 147263/3456, -925/512, -65579/1536, 
  -1287/128, 1289/24, 0, 433/128, 18031/432, -1289/24, -985/128, -18031/432, 
  1839/128, -5335/48, -27, -1589/54, 4963/48, 2777/54, 1553/48, 24, 211/48, 
  -2, 7977/256, -86407/432, -430583/3456, 71167/432, 565147/6912, 37097/432, 
  -55/8, -30781/864, -37/16, 173831/1728, -3695/72, 217/8, 0, -139/24, 105/8, 
  0, 101/16, -155/8, 0, 657/4, -2033/96, -67/16, -3029/8, 1337/96, 8, 
  5431/96, -3359/48, -1157/8, -461/3, 23543/32, 9015/32, -9/32, 27/32, 33/32, 
  -3/128, 63/64, -33/64, -27/32, -657/128, 165/128, 1443/128, -117/8, 9/2, 
  33/32, 27/32, 47/8, 41/4, 117/8, 49/8, 35/8, 21/2, 621/128, -105/32, 39/64, 
  -9/16, -765/128, 21/32, 69/128, -45/32, -351/128, -273/128, 747/128, 
  -25/16, 239/32, -295/32, 203/32, -699/128, -46/3, -20779/768, 289/48, 
  -10931/384, -1503/256, -5/4, -109/12, 1805/128, -1641/128, 87/16, 2145/128, 
  -301/48, 12121/2304, -2117/192, 529/8, 331/2304, 3423/256, -331/2304, 
  307/256, -719/16, -263/192, -399/256, -5/4, 87/16, -301/48, -209/24, 
  38941/2304, 661/128, 5467/768, 8101/768, 2927/256, 9/32, -81/32, -243/8, 
  9/32, 93/32, 39/4, -5/2, 5/4, -31/4, -49/8, -109/16, -1/16, 0, 9/2, 157/8, 
  93/16, -3, 157/32, -1689/32, 11/32, 297/16, 31/8, -117/32, -1/2, 9/16, 
  669/64, -189/8, -9/64, 81/8, 113/64, -3/8, 41/6, -21/64, 15/8, -205/8, 0, 
  83/4, 527/24, 165/8, 31/4, 149/12, 9/2, -213/16, -73/24, -129/4, 2545/24, 
  -1, -5769/128, 5/16, 3017/384, -65/32, -2395/12, -1341/128, 5943/128, 
  2281/384, 431/128, 5621/48, -2761/128, -77/4, -2, 5/4, -87/16, -5261/256, 
  7615/768, 2591/256, -5499/128, -7547/256, 3/2, 151/16, 99/128, 39/128, 1/2, 
  -197/128, -621/128, -135/128, 1079/128, 207/32, 13, 13/4, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105/16, -75/4, -653/24, 
  -6, -21/2, 0, 359/8, 3, -92/3, -889/32, 47/12, 197/8, 13/8, -1753/48, 41/8, 
  559/12, -127/8, 0, -41/24, -6, 229/24, -135/8, 0, 0, 13/8, 0, 0, 1693/12, 
  41/8, -98639/384, 229/384, 45929/384, -3505/384, -749/48, -2739/32, 
  -36559/384, 2909/24, -2875/128, -1729/12, -218005/192, -41/6, -206845/192, 
  121/2, 1401/16, 8507/32, 43/8, 225817/128, 309/16, 21845/128, -42809/384, 
  -101177/384, -28249/1152, 155/8, 11677/128, 0, -5143/48, -3745/32, 35/4, 
  22777/128, 4269/32, -12061/128, -2227/48, 671/6, 13683/128, -3143/24, 
  -1123/96, -1337/96, 353/24, -875/96, -161/8, 3/8, -717/32, -413/8, 112, 0, 
  0, 0, 0, 13/4, -255/8, 0, 0, 0, 0, 0, 0, 3/2, -13/2, -33/8, 687/16, 345/8, 
  4923/64, -923/32, -5883/32, 49/4, 147/32, 247/16, 31/2, 0, -59/8, -113/6, 
  -31/2, 185/32, 163/48, -25/4, 2651/64, 6935/96, 0, -6107/64, -6935/96, 
  277/4, -2305/16, 0, 2205/16, 71/16, -61/16, 0, -45/4, 243/16, 9/4, 61/32, 
  363/8, 0, -151/4, -211/16, 305/16, -83/32, 867/16, 323/48, -3129/32, 
  -2185/16, 385/48, 1463/16, 2185/16, 57/8, 3/2, -147/16, 11/2, 0, 7, -71/4, 
  -75/8, 9/4, 589/32, 89/4, 12, -21/2, 95/4, 1709/32, -527/16, 133/8, 
  -109/32, -1397/12, 521/12, -431/12, 1, -1899/64, 1609/48, -7035/64, 
  2069/16, -119/6, 3/4, 8, -1/8, 0, -46/3, -5171/288, -4079/96, 37/8, 25/2, 
  525/16, -773/48, -105/32, 25/2, 119/6, -269/32, 605/32, -155/8, 5/4, 
  273/16, -599/12, -7/4, -101/16, -1/4, 0, 0, 0, 0, 0, -229/24, 135/8, 0, 
  3917/96, -69343/576, 1045/288, -15157/72, -1277/576, 515/36, 0, 0, 0, 
  5221/144, 10897/576, -24275/576, -3845/192, -8191/144, 5185/144, 2491/48, 
  1701/8, -1701/8, -13/8, 0, 13/8, -29897/72, 43/8, 68689/576, 93959/288, 
  -10075/192, 12805/192, -295/16, -12905/192, 0, 517/48, 14605/144, -15/4, 
  -80887/288, -50461/192, 43103/576, 14735/144, -5959/144, 22679/72, 1867/48, 
  745/48, 19/9, 49/4, -191/24, 115/18, -121/16, -157/24, 761/12, -63/16, 
  -16979/288, 989/72, -101/8, -363/16, -10127/48, 2745/32, 4697/192, 
  11527/96, -64405/288, 329015/576, -169/3, -3061/64, 3345/16, 37151/64, 
  -10177/16, -55975/96, 0, 0, 21/2, 0, 0, 5/2, -7/2, 0, 2, -2567/576, 
  15095/192, -60511/576, -5465/192, 1303/576, 88447/5184, -4960/27, 57/4, 
  4511/192, 408931/5184, 24565/108, 3287/576, -160273/2592, -6041/192, 
  1437359/5184, -3404725/5184, 158329/2592, 36161/216, -25051/108, -57/4, 
  171/64, 55407/64, 29/4, 2933/8, 3, 5/2, -57439/96, -24, 1/4, 47/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 1/32, 0, 0, 15/2, 0, 71/64, 139/24, 7/4, 5483/64, 
  -105/8, 25133/96, 0, 79913/144, -44453/32, 44291/64, -372043/576, 
  44491/192, -215773/576, 965/24, -2963/32, 431/8, 1151/192, -6889/48, 
  10979/48, -1775/24, 19543/96, 661/96, -5737/32, -7141/96, 99/8, 2123/96, 
  -887/16, -3431/96, 4365/128, -3331/32, 4871/192, 2893/64, 721/8, -3031/48, 
  -441/4, -3215/48, -901/96, 7855/576, -1549/48, 7699/128, -30193/576, 143/6, 
  -7855/128, 2121/128, 34139/1536, 549/32, 513/64, -373/48, 19181/1152, 
  -11381/256, -7449/256, -1493/64, 425/16, 317/16, -53/4, -5689/72, -3957/32, 
  39793/144, -227791/1152, -97021/384, -604039/1152, -357787/288, 
  -1525871/864, -1201/128, 646781/192, 823585/384, 14119/384, -331327/128, 
  -177685/864, 580751/1152, -475543/19200, 95611/576, 20731/192, 39923/600, 
  -23209/144, -20731/192, -361481/6400, -925/192, 1457/128, -37445/288, 
  -13507/192, 25/48, 50989/576, 13441/192, -713/24, -8287/96, -25/4, 
  -22925/192, 0, -22503229/57600, 9353/384, -51335/288, 23817229/57600, 
  3037/128, -13/16, 25765/128, 31747/48, -7849/128, -332431/576, -339/8, 
  306523/1152, 361/8, 8735/1152, 292015/1152, 403/24, 653/24, 61, 14741/96, 
  -2555/16, -1923/16, 73/2, 38, -96, 699/8, 261/8, -120, -264, 264, 0, 0, 
  81/128, 81/128, -579/128, -129/32, -33/4, 33/4, 235/8, 426, -9, 81/4, 
  -383/4, 34483/16, 51/4, -603/16, 12317/8, 1403/16, -10991/32, -4949/32, 
  9/4, 33/16, 109/8, -783/8, 57/16, -81/8, -5577/16, -95/4, -621/2, -957/16, 
  -9/4, 499/16, -1437/16, 499/16, -121/8, 1195/16, 0, -397/16, -417/16, 0, 
  33/4, -387/8, 635/4, -1401, -429/8, 4041/8, -76615/16, 1671/16, -31597/16, 
  2417/32, -45/16, 523/16, 4419/16, 1121/16, 551/2, -1499/16, -499/16, 
  1677/16, -959/16, 397/16, 321/8, -701/2, 6615/4, -709/2, 11531/4, 1591/8, 
  -741/16, -231/16, 2539/8, -15, 1299/8, -1383/2, -265/2, -1311/8, 51/4, 0, 
  2567/64, -354203/6912, 16523/384, 4971/64, 146731/6912, 998299/6912, 
  -3985/384, -1122697/9216, -42517/1024, 0, 117/16, -4187/32, 0, 5651/16, 0, 
  -14387/32, 0, 3519/16, -8109/256, 329/32, 101487/256, 9205/864, 
  -1179379/2304, 27763/6912, 631189/2304, 10569/256, 4419/128, -1350725/2304, 
  20267/3456, 292373/864, -2351/64, -2789/192, 207479/576, 317/16, 591/128, 
  21/16, -607/576, -35501/1152, -4747/3456, 18935/288, -18951/512, 7471/108, 
  386411/1728, 160867/6912, -2306059/13824, 140171/4608, -195265/3456, 
  -270049/1728, 1139/576, -11359/256, 573869/6912, 340/27, -36007/576, 
  -2670833/13824, -90515/6912, 1435999/13824, 3284219/13824, 126449/6912, 
  -216151/4608, -126449/6912, 75/16, 3251/128, -24409/96, -1831/144, 0, 
  127/48, -21115/384, 656195/1296, 1831/144, -121/12, 201899/3456, 
  -653347/2592, 289/16, -99641/3456, -245/16, -1213/256, 1289/32, 42263/288, 
  1487/32, 65149/768, -82459/2592, -19721/216, -148441/768, 111137/20736, 
  73321/256, 6977/256, -5659/288, 1411/128, -1261747/6912, 265475/3456, 
  -20845/216, -5053/192, -3521/192, 215777/576, 279/16, 97/8, 399979/768, 
  -89011/648, -663/16, -10523105/10368, 886877/5184, 3967/96, 10719871/20736, 
  119/16, -4779/512, -768605/5184, 19559/216, -43001/576, 3448037/20736, 
  44539/512, 785713/13824, -325945/3456, -86383/432, 3587/576, 113/8, 
  2688601/6912, -1735/32, -3429977/6912, 199/12, 845471/4608, -439859/6912, 
  -682517/3456, 3643355/13824, 211/16, -385/24, -55745/6912, -61/96, 235/96, 
  -1/16, -2957/24, -539/72, 3216137/6912, 433/16, -592369/1296, 0, 
  102547/576, 23/16, 1765/432, -14903/768, 15533/2304, 2941409/10368, 
  1523839/6912, -45233/288, -30, -10385/48, -25999/256, 34195/288, 
  -565519/6912, 919/16, 263/8, -63953/576, -389/16, 0, -769/48, 1/2, 12, 
  111/8, 175/4, -9, -323/8, 9, 241/16, -35, 509/96, 129, -5699/96, -94, 39, 
  -241/16, 41, -87/2, -2867/96, -193/2, 87/2, 327/8, -7/2, 57/8, -6, 87, 
  37/2, -87/2, -97/4, -87/2, -13/24, 55/24, -17/8, 3/8, 0, 49/16, -63/16, 
  65/16, -3/8, 3/8, 63/16, -33/16, 123/16, 0, -29/8, 3/8, 9/8, 15/32, 
  -109/64, 319/192, -25/32, -673/96, 49/16, 33565/4608, -155/48, 239/128, 
  535/48, 84517/1536, -35731/2304, -1307/1536, -1155/256, -39907/768, 
  11347/512, -4393/768, -5981/256, -1/2, 15/32, -109/64, -1/2, -205/64, 5/16, 
  361/64, -87/64, -2123/128, -619/128, -4241/256, 117/16, -11/128, 675/32, 
  -3935/256, 81/32, 9/64, 3/32, 27/16, -111/64, 855/64, 1, 16, -4475/32, 
  8023/128, 1/4, -7/4, -10425/128, 11573/128, -11/8, -11/4, 693/16, 5/4, -2, 
  3/4, -1/2, -33/8, 17623/128, -479/16, 7/4, 5189/128, -5535/128, -11/4, 
  -327/16, 13/4, -7/4, -7551/128, -125/64, -175/32, -291/128, 9/4, 269/32, 
  307/64, 205/128, -11/128, -13/8, 215/64, -1363/192, 179/16, -301/96, 
  105/32, 5395/144, -50233/768, 1501/288, -10393/256, -107689/768, 27137/576, 
  -12913/32, 13625/48, -12919/512, -2739/512, -1521/512, -5/16, -23/12, 
  61/32, -1155/512, -779/128, -10987/512, 969/256, 545/512, -105/128, 65/32, 
  -251/512, -2359/256, 13/8, 551/64, 21/512, -283/96, 2099/576, 379/384, 
  15/16, 921/64, 27/16, -12, -1843/192, -8641/768, 1851/128, 33185/512, 
  -4513/256, -347/64, -25, -993/512, 60917/2304, 63109/3072, 26401/3072, 
  1433/192, -2945/384, 21439/4608, -1061/192, -879/64, 37/16, -27695/768, 
  21981/1024, 155223/1024, 36407/4608, -2619/128, -8861/3072, 9995/4608, 
  45733/1536, -2237/128, -150831/1024, 5525/1536, 13409/512, -1, 155/48, 
  -4237/384, 3893/256, -2731/256, 21/16, 959/256, -9/2, -1771/256, -4, 
  -103969/4608, 126133/4608, 809/96, 3595/576, -301/96, -677/64, 12163/256, 
  -90319/768, 42397/768, 81305/1536, -495071/9216, 301163/3072, -232585/4608, 
  -19085/4608, 17095/2304, -71405/1536, 243029/3072, -119227/3072, 
  -11917/384, -76657/3072, 275531/4608, -184637/768, -33391/1024, 
  391787/1536, 2549/256, -1, 7/16, 2273/512, -5501/512, -213/16, 143/24, 
  -383/48, 7/3, 31/16, 21/16, -1787/512, 37/16, -51/16, -2113/96, 15925/384, 
  -3937/256, -4, 1237/512, -5/24, 42247/768, -12171/256, 809/96, -511/96, 
  -16145/768, -301/96, -331/24, -181/32, 193/96, -43/8, 1127/48, -171/128, 
  -93/128, 8837/128, -16099/1536, -883/24, -25617/256, 7625/192, 
  -293563/2304, -109/8, 603149/9216, 2095/72, 669/128, -359/48, -4361/48, 
  -25649/384, 1389/32, -8195/576, -17/96, -797909/3072, 128891/3072, 
  -90823/768, 317/12, -33653/384, 1611685/3072, 3505/192, 7/16, -69/8, 21/8, 
  -883/128, 897/128, 59/128, -33/64, -9/8, 2383/192, 4703/384, -4129/288, 
  9/16, 541/64, 4961/96, 0, 1/16, 3/32, 3, 13/3, -1/4, 3/2, 0, 1/4, 179/128, 
  461/192, -423/32, 3/32, -101/8, -15277/384, -14815/576, 473/16, -169/16, 0, 
  -119/8, -89/4, 4781/48, 393/16, 1, 2021/64, -3829/128, -1205/24, -1/4, 
  -3023/96, 5295/256, 227/128, 3853/768, -41/32, 119/8, -51/16, -1733/6, 
  -6767/32, -4127/128, 44941/384, 222929/768, 1777/48, -31897/256, -1027/64, 
  3185/128, 11759/48, 5145/16, -18383/192, -122609/384, 67751/768, -949/16, 
  -587/4, 5471/64, 9, 267/64, 357/64, 87/32, 271/64, -1011/256, 421/128, 
  -199/32, 2521/128, -3/4, -693/128, -351/64, 1/4, -1331/256, 3/128, 289/256, 
  -5/256, 15/128, 257/32, -25/128, 1933/256, 87/256, -81/64, 49/64, -267/64, 
  15/2, -145447/768, -1/16, 6553/256, -229/256, 76211/768, 65/256, 9/4, 
  -639/256, 14897/256, -69/512, 3181/256, -945/256, -95/128, -4969/384, 
  -1901/512, 149/32, -2709/256, 283349/768, 10869/512, -23/64, 7/8, 3013/128, 
  -18353/256, 1791/128, -5789/384, -1029/128, -86957/384, -5251/512, 
  12889/256, 2389/64, -23/16, 83/4, -4759/128, 2945/128, -43/32, 59/4, 
  -21435/512, 61325/768, -22471/512, 8665/512, 2441/256, 401/512, 38821/192, 
  -255755/1536, 2015/512, 1447/64, 887/32, 1001/256, -29/8, 17/8, -1/12, 
  -53/48, 123/64, -4901/128, -6885/256, -59/16, -4, 1161/256, 249/64, 1/4, 
  9659/192, 1049/48, 437/256, -311/256, -35/128, -1279/96, 103/256, 15/16, 
  -1447/64, -967/128, -202, 15991/256, 2, 1/4, 89/8, 8795/256, 22415/384, 
  -9583/96, 279/32, 5641/256, -64495/1536, -569/128, 277/128, 4213/1536, 
  -5809/256, 432325/768, -163607/768, -59/16, -15/8, -75611/1536, 14389/128, 
  -67781/768, -5977/384, -17755/48, 207445/768, 7/16, -39947/1536, 
  -89027/768, 0, 1/2, 167/192, 179/96, 13/48, 91/48, 467/96, 0, 211/48, 0, 
  13/48, -13/24, 0, 0, -13/16, 0, -1103/32, -11/16, -3943/64, 31/32, -543/32, 
  47/96, 167/48, -157/16, -47/48, -139/16, 61/24, -99/32, 91/24, 165/16, 1, 
  23/24, -269/16, 0, 193/24, 0, 0, 0, 19/4, 279/16, 1/8, -213/8, 8, 91/12, 
  -201/8, 19/3, 123/8, -647/16, 2797/32, 133/96, 259/24, 227/8, -33581/576, 
  -491/48, -1883/96, 3665/576, 79/4, -10/3, 669/16, 27/4, -539/48, -25/4, 
  171/16, -399/16, -325/8, -7435/144, -569/96, -2489/48, 9739/576, 2777/72, 
  -107/18, 13/2, 1235/48, -667/12, -383/48, -1075/24, -259/16, 3551/144, 
  -93/8, -185/8, -127/8, 425/12, 135/8, 61/96, -235/96, 1/16, 8191/96, -63/8, 
  -236761/1152, -125/288, 383149/2304, 1909/72, -47737/2304, 64633/2304, 
  155/48, 210277/768, 107/8, -174647/256, -851/128, 4475779/9216, 
  162729/1024, -89905/2304, -65551/768, 3, 102703/2048, -11441/512, 
  -250939/3072, -7/2048, 85/8, 14125/512, -21/2, 116731/288, 14351/144, 
  2343601/2304, 5419/576, 213481/1152, 105343/288, -18769/192, -8093/144, 
  -419/32, -13958873/6912, -301013/1152, -2088415/3456, 11255/96, 81533/288, 
  -40883/36, 26855/576, 13246519/5184, 381133/2304, -240763/384, -79275/256, 
  1783873/2304, -876545/1728, -47737/2304, 456521/3456, 155/48, 740329/2304, 
  -6627/256, -56813/2304, 2077/64, -259625/256, 667735/1152, 291991/3072, 
  8737151/9216, -432193/576, -511979/3456, -608, -21143/192, 5593/512, 
  14335319/18432, 589889/18432, -31561/2304, 302353/2048, -103265/6144, 
  -3347819/18432, -56683/6144, 63/8, -201/16, -3, -85/8, 9, 8647/3456, 
  4513/3456, -218917/3456, 287/18, 65141/864, -130345/864, 627601/3456, 
  -487/64, -18685/48, 281581/192, -45407/128, 274247/384, 24451/64, 
  -8541/128, -8647/3456, -7301/1152, 24599/3456, 69493/384, -53597/3456, 
  1897/64, -377/12, 7301/1152, -58333/288, -107515/384, 369/4, 489/16, 
  58333/288, -1379/48, 639/8, 1379/48, 1, 151/8, 2737/32, 4001/32, 81/8, 
  1737/16, 345/8, 2083/32, -1605/16, 0, 3/2, -3881/32, -2851/32, 2577/16, 
  -27/8, 1667/64, 1789/8, 711/8, 63/8, -6061/64, -197, -93/32, 193/4, -573/8, 
  -1467/16, -10969/64, 33597/64, -205/16, 2471/64, -181, -26313/32, -133/96, 
  7255/64, 12137/32, -377/64, -961/32, 507/8, 30617/64, -109197/128, -163/3, 
  583/4, 105475/128, -3109/128, -4923/32, -13209/32, 31431/128, -1315/64, 
  4735/8, 4935/32, 1849/24, -6827/96, -5513/96, -395/24, 0, -10501/96, 
  1225/9, 6749/72, 119/6, 2245/64, -21011/288, -12077/288, -161/64, -91/96, 
  31/32, 3437/96, -33901/576, -21113/288, -83/8, 3977/48, 16387/576, 
  9313/144, -12251/192, 215/192, -279/16, -7921/48, -913/64, -136/3, 
  -52579/384, -10639/384, 4371/32, 111483/128, -1315/64, 403/8, 4935/32, 
  63/16, 119/8, -1583/48, 1747/24, 5, -131/12, -727/16, 22361/96, 1/4, 
  -23/16, 2389/96, 21/8, 1637/192, -291/64, -13/2, -781/32, 3271/96, 
  -7297/96, -37/12, 1375/12, -39697/72, 193/32, -165/4, -173/48, -131/32, 
  -3013/192, -227/64, -6239/96, 29047/72, 3425/96, 1291/192, 2851/192, 
  -8665/96, -847/48, 153/16, 1411/16, -47/12, -37753/192, 29/8, 1829/24, 
  -216245/288, 39/16, -6197/96, -1393/192, 1629/32, -29273/192, 11331/32, 
  -421/3, 183341/144, 3829/48, 9725/96, -47/8, -149249/288, -2517/16, 
  -1079/16, -1231/24, 60571/128, -165/16, 8641/18, -31/2, 99/64, -28905/32, 
  -125401/288, 9677/96, 1217/16, 2869/384, 347/48, 109667/192, -12515/32, 
  5/8, -1/2, -19/6, -6899/288, 4225/96, 1249/36, -1457/288, 751/48, -965/36, 
  -821/12, 8587/288, 105/16, 3127/96, -889/24, -35/8, 235/24, -7/32, 5/32, 
  1/16, 115/16, 65/16, -1271/48, -355/48, -1775/64, 465/64, -10565/288, 
  205/6, -1691/96, -175/48, -227/4, -509/4, -3419/12, -299/4, -61/96, 235/96, 
  -1/16, -14473/54, 296057/432, -861343/3456, 3319/576, 95047/432, -6695/864, 
  -943/384, -249673/1152, 38383/1152, 15/16, -15/2, -7643/576, -278545/3456, 
  185461/216, -769/36, 99/8, 4471/128, 324199/1728, -200119/216, 21/4, 
  -8595/64, -593569/3456, 21/4, 141397/1152, -51/8, -49579/576, -333935/1152, 
  92179/576, -96901/864, 333935/1152, 123/64, 96901/864, -603/64, 
  982589/2304, 295/72, 140693/108, -2350115/3456, 676049/3456, -2404829/1728, 
  -390073/1728, -5407951/10368, 13/16, -7098599/3456, 2588983/3456, 
  6538789/3456, 383189/1728, 0, 372307/576, -769/36, -1024045/3456, 
  -876793/3456, 2278369/6912, -239/64, 3298285/3456, 3779975/2304, 
  -785479/6912, -30829/36, -1307905/432, -104779/144, 878383/1728, 
  -1676573/6912, -48161/256, -389651/768, 1517723/3456, 3655255/3456, 
  -130153/288, 431585/2304, -804563/6912, 37/2, -82973/2304, 33821/768, 
  -107135/1152, -4199/384, -242255/3456, -461447/1728, 87679/256, 
  -237499/768, -14077/128, 10549/256, -1087/36, 59993/384, 46621/576, 
  -5795/96, 34667/54, 11824111/3456, -2347253/1152, -69377/24, 46363/72, 
  -1008647/576, -84817/3456, 291901/6912, 12145/6912, -78653/1152, 9107/576, 
  -124934927/1728000, 1742053/248832, 178703227/1866240, -2921591/93312, 
  -40919/6912, 1437277/5184, -5869/72, -1805/108, 1903219/4320, -104137/432, 
  249757/6912, -115889067/51200, -96733/432, -42407/1152, 6163228987/4147200, 
  13427/576, 2487389/12960, 58226497/103680, 309661/4320, -401213843/230400, 
  -2522462861/1036800, 6116107/34560, 1683929641/576000, 
  50173993091/20736000, -32146884059/20736000, -221324603/207360, 
  -106691419/86400, -49897571/345600, 81978773/25920, 373616231/311040, 
  -136327986023/62208000, 60495401/43200, 477814339/777600, 
  -1950390497/1866240, -4586942111/9331200, -2927789/6912, -2102515/1728, 
  2675549/2304, -99/8, -347/24, 299/24, 137/48, 352489/384, -592037/1152, 
  -21/4, -5, 67/16, 1099823/1152, -21/4, -7/2, 63/8, -3269/288, -143269/5184, 
  2855/216, -47/48, -785/128, 340537/2592, -4619/216, 51449/1152, 
  -561277/5184, -2609/96, 46225/2304, 18450631/51840, -281579/768, 
  -15427/160, -13753/256, -4018858667/2073600, 1138003/1920, -235/576, 
  26366633941/20736000, -2711/384, -142931/1440, -2162593/69120, 
  -51019/38400, 423892963/230400, -14353027/345600, -3478880549/2304000, 
  6234517/7680, 16976657/28800, -48363071/115200, -61280381/115200, 
  101081/2304, -393691/6912, -348871/768, -209/16, -104375/768, 814327/864, 
  138055/768, 94055/1152, -1590217/6912, 6661/192, -252367/103680, 
  5082845/6912, 588150667/2073600, 17144023/17280, -11156499941/20736000, 
  4337303/69120, 55680877/115200, -485487763/345600, -89633921/115200, 
  -1094165/6912, -436633/768, 8673/64, -114203/216, -264499/768, 
  1937597/2304, 303421/768, -1346939/2880, -1331593/768, 59467/1440, 
  316151/384, 36079/128, -218147/1152, 170381/128, 874055/1152, 11/8, 381/8, 
  1621/16, 1789/16, 0, -257/8, -1899/16, 651/16, 0, 1405/8, 11053/24, 299/4, 
  0, 7/16, 445/48, -195/16, -279/16, -37/16, -557/16, 2155/48, 273/8, 375/8, 
  323/8, 19117/192, 3615/64, -2901/64, 1197/64, -885/32, -143/8, -367/48, 
  415/8, -6, 2803/48, -15773/192, -4343/64, -11557/192, -2671/48, 4931/64, 
  273/8, 1777/96, 155/16, -6383/96, 11347/64, 7479/64, -95/6, -205/48, 
  973/16, -41/48, -15/4, -13849/16, 13643/32, 293241/32, 5/2, 18429/32, 
  -72381/32, 5, 33997/16, -121665/16, 34, -855/16, -711/16, -315/8, -57/16, 
  -1245/16, -45, -53/16, -7/4, 1303/16, 4799/64, -2893/64, -761/64, -5799/64, 
  -2701/32, -1281/16, 1363/8, 321/4, 903/16, 2381/16, 3809/64, 5613/64, 
  -7475/64, -271/4, -6297/64, 3313/32, -2073/8, -1365/8, -7045/32, -21049/64, 
  -8593/64, -843/8, 2651/32, 1477/16, 1533/32, -12609/32, 15065/32, 13945/16, 
  0, 42001/16, -7131/8, -13489/16, -182257/16, 13939/32, 293201/32, 9803/16, 
  -49071/32, -13945/16, -38821/16, 46249/32, 292053/32, -1385/32, 17003/16, 
  -795/4, -1403/8, -34189/16, -33709/16, 0, 77987/8, 33773/16, -121785/16, 
  34189/8, 33709/16, -77987/8, -34189/16, 0, 0, 0, -287/4, 37/8, -13/16, 
  -253/128, 61/96, 6749807/13824, 390371/6912, 2095/288, -235/96, 
  -4825735/10368, -230983/3456, 1/16, 56723/1152, -43625/576, -653869/13824, 
  7517257/20736, -787079/3456, -193697/576, 10716589/6912, -4634645/3456, 
  445651/320, -1303997/720, -322307/320, -19273/1152, 11611/1152, 
  130117/2304, 11513/512, -10631/1536, 38785/576, 244529/4608, -143353/2304, 
  -232907/4608, -81551/1152, -108869/1152, -2341/96, 1271/32, 239/16, 
  -187/64, -115/64, 24953/3456, -9637/576, -19273/1152, 16453/1152, 
  -20989/864, -3727/192, -18187/768, -20099/6912, -25577/2304, 321/16, 
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  121039/1152, 1388971/13824, -18715/576, -1343/64, 5413/128, -141083/1152, 
  13739/576, -46135/288, -257483/2304, -331/64, 1269/32, 2313/128, -187/64, 
  -22957/576, 4792319/27648, -11983087/82944, 112459/13824, -259421/1152, 
  11496961/13824, -13610063/27648, 1511723/1920, -1129127/1440, -23927/40, 
  -31/16, -1309879/2304, -55787/144, 55/2, 53227753/41472, 203416795/82944, 
  -2113/32, -1450689/1024, -12002795/3072, 3796985/6912, 96781271/41472, 
  -3539585/6912, 9137/600, -79627/12800, 55459949/172800, 14447405/20736, 
  973/24, 35422769/230400, -91150727/86400, -27602999/20736, -3658559/76800, 
  -69490891/230400, -245017/1280, 5479373/76800, 725977/57600, 1803/512, 
  -1411679/38400, -2903845/6912, -99965407/82944, -778877/1296, 
  -5194903/57600, 216351331/230400, 439808485/165888, 13137947/230400, 
  183817241/691200, 1622021/115200, 62695873/691200, 62863447/82944, 
  27524017/27648, 87711451/1382400, -2838481/2304, -51247297/1382400, 
  -1570175/9216, -47759353/82944, -16201085/165888, 1396297/13824, 46/3, 
  -209449/11520, 15841237/86400, 1743851/20736, 973/24, -15273/800, 
  64105853/230400, -114597143/57600, -16432613/20736, -13049/5120, 
  -100873577/230400, 30898111/34560, 635931/25600, 1960201/57600, 9685/512, 
  -308179/7680, -1580069/4608, 28702585/41472, -1575511/2592, 
  -11657389/115200, 464900731/230400, 189425383/165888, 3351541/46080, 
  -25680067/25600, -1591627/115200, 22886683/115200, -12711395/13824, 
  28204561/27648, -276490249/1382400, 7420613/82944, 87571553/1382400, 
  5082689/27648, -47754169/82944, -70463393/165888, 1396297/13824, 
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  -109237/1152, 21888853/115200, -859921/2304, -2945/128, 24452963/115200, 
  700291/768, 277331/27648, -14334521/38400, -1325/9, 8671187/28800, 
  -774587/2304, 34977899/82944, 29237/576, -690175/1536, 7122683/23040, 
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  -1789151/2304, 13467415/13824, -814091/2304, -11233709/27648, 
  -1238437/2304, 1044943/1920, -422329/2304, -346861/1920, -122751/320, 
  11/288, 12929/576, 225/8, 3593/96, -557/4, -213/4, -10073/192, -1637/16, 
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  -10946130193/3456000, 12095/96, -62131031/51840, 2395999/23040, 
  -5684862043/2073600, -1763627059/777600, 8251035193/3456000, 
  -5628259/23040, -1661839871/1166400, 921490309/777600, 3229292467/2332800, 
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  -365/16, -1931/64, -75/32, -16115/768, -43/3, 7/3, -5875/64, 347/12, 
  239/48, 1193/48, -673/288, 44773/1152, -283/48, -259/96, 1, 21/2, 121/16, 
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  -7163/256, -239/48, -10093/768, 283/96, -1/2, 161/8, 1695/16, 1493/16, 
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  -405/8, -707/16, 9123/256, 541/8, -7073/256, 9/4, 9/4, -9/4, -15/8, 145/8, 
  1925/48, 2511/16, -3/2, 41/24, 11, -2815/48, 25091/48, -1397/8, -317/24, 
  -101/12, -2015/48, -25921/48, 217/16, -3259/96, 1525/16, 135/16, 2729/96, 
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  1747/48, -1631/48, 15233/24, -25/6, -597/8, -8191/192, -3/8, 289/48, 57/8, 
  307/16, -47/16, -193/48, -247/8, -1513/24, -2741/24, 2575/64, 0, -757/48, 
  -267/8, 331/48, -515/48, 3019/48, -105/16, 37/4, 281/48, 87/16, 15/8, 
  -127/4, 1745/48, -3017/8, 1703/16, 35/4, 4411/24, -19861/16, 2347/8, 
  -415/12, -7597/48, 11765/24, 1601/96, 857/8, 245/64, -69/16, 1699/48, 
  529/12, -5171/16, -85/3, -103/8, -24215/24, 127/2, -9001/24, 1277/96, 
  -83/24, 73/48, 601/8, 2107/48, 4003/16, -3095/48, -161/8, 819/16, -184/3, 
  1207/48, 109/8, -3497/24, 5695/16, -3063/16, -1021/12, 859, 529/16, 
  2291/16, 1087/48, -1687/16, -99/8, 3623/48, 639, 1597/48, 34369/48, 
  -3733/48, -919/24, -1429/8, 883/24, 547/24, 277/4, -1075/8, 737/8, 
  -3037/24, -175, 653/8, -1347/16, -1475/4, 1087/12, 223/16, -11/8, -45/8, 
  45/8, 79/8, 1/2, 49/8, -1075/32, 8283/32, -171/16, -125/48, 29/16, 6763/48, 
  -12481/24, 171/16, 3/4, -1249/32, -14809/96, 25075/96, -111/32, 1095/16, 
  1127/24, 1063/96, -1195/32, -25/4, 3/32, -563/16, -60, -245/16, -95/16, 
  -11/16, 4243/768, 28039/96, 197/12, 13529/192, 44407/384, -347417/1296, 
  -6307/48, -570877/6912, 9139/64, -37/64, 461/12, 1733/48, -369/16, 1113/32, 
  -1159/64, 425/64, -227135/1536, 96289/2592, -93875/4608, -215/96, -1657/48, 
  -987/32, -2251/32, -539/72, 796235/3456, 619/192, 2951/96, 2509/48, -1, 
  3/2, 1623/32, -74681/96, 1361/16, -283/12, -8105/48, 126301/96, -1361/16, 
  1951/32, 1963/12, -12905/24, -741/16, -4363/96, 267/32, -91/32, -6829/96, 
  3307/32, -809/16, 17899/512, -257395/1536, 2399639/5184, -33781/1536, 
  16284629/41472, -19961/1152, 641/64, 5057/96, 1507/24, -5531/512, 
  -2216009/10368, -290203/3072, -2171/96, -1583/96, 36407/864, 2677/192, 
  -123/16, 26347/48, -941/16, 441/16, -3979/8, 941/16, -1309/48, -2473/48, 
  319/48, 655/32, -8129/16, 277/16, -363665/3072, -6365645/13824, 78131/1152, 
  -2101/48, -547/16, 2465095/9216, 2975/96, -385/16, -397/16, 1625/96, 
  397/16, 685/96, 1619/48, 163/16, -201289/9216, -29/3, 9, -9, -9, -5/8, 
  -9253/600, -3228671/172800, -3660991/20736, -85471/2304, -5131/2400, 
  -6613633/230400, 29557687/43200, 1005469/1536, -8513/2304, 191627/15360, 
  53650933/230400, 18916849/86400, 6734339/41472, -1948731/25600, 
  -3596581/28800, 250867/6912, 17427/512, 461/6, -295/32, 353/32, 34879/1600, 
  2771665/20736, 6527033/20736, 296677/19200, -269183681/691200, 
  -18489587/18432, 701491/6912, 264953/3072, -108060577/230400, 
  -15922589/20736, 1195061/12800, -1721801/13824, -24231/256, -1213/64, 
  803707/20736, -6309551/15552, -310220591/1382400, -5084273/82944, 
  -28243325/124416, 24431101/460800, 36891641/41472, 186239/1536, 1169/96, 
  2475019/20736, 56375023/165888, 1486577/7776, -3273755/13824, -683/192, 
  -192665/5184, 262061/2304, 219143/864, 448009/2304, 3917/256, 3607/1152, 
  -1123127/13824, 2573717/13824, 183119/1536, 333095/13824, -1654385/5184, 
  -512717/3456, -787301/7776, 1212893/5184, 275105/5184, -256321/1536, 
  -10927/2304, -42549/512, 11143/256, 1294291/3456, -130883/1536, 
  -1891589/41472, -40759/768, 1735961/41472, 114185/1536, 8115/512, 
  -13649/512, -223225/2304, 705881/13824, -1001/384, 5423/384, 241/48, 
  2611/64, 1649/16, -29/16, 1183/96, 7533/64, -9089/48, 29/16, -3061/64, 
  -11301/32, 2071/24, 3181/192, 6229/32, 167/12, 96691/6912, 4028149/20736, 
  -930863/11520, -180851/1440, -3641/144, -132503/6912, -525401/1440, 
  83203/240, 215063/4320, 64753/6912, 510535297/1382400, -12073403/34560, 
  1255/96, -920008211/4147200, -17987/576, 1/32, -1365/128, 6123143/43200, 
  15353/216, 4086067/51840, 62892677/691200, -2698991/14400, 
  -314917093/4147200, 212194343/691200, 2974470931/20736000, -191/64, 
  -27222007/172800, -8417/216, -535601/5120, 51445693/622080, 
  -5880361/3110400, 601/96, 158401/7776, 3845389/4665600, 1902635/186624, 
  -241/48, -2483/64, -1195/8, -835/16, -179/192, -128617/768, 6719/64, 
  3369/64, 1425/128, 2417/6, 3859/96, -513/256, -26845/128, 215/48, -2, 
  973/16, 869/4, -169/24, 16523/192, -815/4, 4015/256, -1601/16, -4463/256, 
  -29/2, -653/4, 15/8, 1959/16, -171/32, -23/4, -51/8, -4, -9/16, -1, 397/16, 
  1063/48, 419/48, 9/16, 10/3, -1811/48, -92/3, -227/48, -83/48, 655/24, 
  715/48, 11/24, -69/8, -17/16, 1, 417/32, 425/32, 61/16, 9/16, -1, 
  -3403/192, -1537/96, 3/16, 43/32, 4283/192, 437/48, -197/48, -1139/96, 
  265/96, 23/4, -159/16, -63/2, -207/4, -457/16, 1019/48, 2147/24, 207/4, 
  2129/48, 49/12, -1391/24, -703/24, -123/8, 31/4, -279/32, 2299/48, 6407/48, 
  207/4, 1249/192, -7559/96, -4895/48, -161/24, 1305/32, 203/64, 249/16, 
  359/8, 1581/16, -751/16, -1135/6, -1581/16, 1525/48, 3463/24, -19/48, 
  -5927/96, -4375/24, -1581/16, 4757/48, 1649/12, -5081/96, -207/16, -399/8, 
  4451/48, 399/8, -1915/24, 48, 399/8, -561/16, 27/8, -27/8, -27/8, -1, 35/8, 
  39/4, 1729/256, -51/4, -2, 155/12, -77/6, -263/24, -1, -7/12, -245/16, 
  -1059/256, 381/8, 21/16, -737/48, 623/32, -171/64, -305/96, 2387/192, 
  -397/16, -75/32, 4411/192, -685/16, 197/96, -27/8, 239/48, -1477/96, -63/8, 
  -1435/96, 3/2, 1, -143/24, 1303/384, 1051/64, 623/128, -21/16, 3739/384, 
  -853/48, 7021/384, 75/32, -3289/192, 2461/96, -239/48, 1303/96, 319/96, 
  -1/2, 2551/192, -3645/64, 1183/24, 361/64, -3763/96, 969/16, -187/32, 
  1063/48, 1/2, -1257/128, 9149/192, -467/12, 4821/128, -2993/48, -1775/64, 
  345/64, -9/4, 189/128, 855/128, 1, 23/16, -13/2, -1501/128, -4285/256, 3/4, 
  -379/48, 3/2, 40, 4915/256, -1669/768, 193/12, -8259/256, -6863/128, 
  -21473/768, -1757/48, 16467/256, 26909/768, 3587/48, -5239/256, -573/16, 
  -1, -75/16, -457/128, 325/128, -65/4, 37/48, -5453/96, -6871/384, -625/96, 
  -31/24, 60149/384, 421/4, -17257/384, -24643/192, -2449/256, -29/32, 
  489/32, -5289/256, -317/48, 2573/96, 18049/768, 54377/768, -36001/768, 
  -32421/256, 42467/768, -173/48, 205/12, 2435/48, -857/48, -5635/64, 
  13439/384, 31/96, -869/24, 2861/96, 229/48, 3/4, 27/4, -1415/128, 
  -17249/128, -27479/128, -37/4, -685/64, 72547/768, 199303/768, 22223/384, 
  -2869/768, 6479/192, -95065/768, -27557/768, 6111/128, 31/16, 2213/128, 
  3055/16, 398821/768, 20465/768, -61577/384, -105699/256, -2591/96, 
  -5801/256, 40045/384, -43/16, -8929/384, -268309/768, 8009/256, 66029/384, 
  5113/768, -383/24, 1723/48, -8453/384, 1477/96, -89/8, 221/16, 915/4, 
  12345/32, 9355/256, -26143/256, -442321/768, -10291/768, 3955/256, 1733/24, 
  609/16, -12957/64, -582457/768, 763/768, 75985/96, -9391/192, -159/64, 
  330431/768, -224495/768, -3687/64, -221/16, -1825/16, -1485/8, 20719/768, 
  238351/768, -16093/192, 26065/256, 74021/256, -6959/24, -27455/256, 
  4317/256, 77/8, 145/64, -1441/256, -83/128, 1, 10, 4791/256, 7285/512, 
  -21/16, -1, 765/64, -14369/1536, 34171/3072, 46943/3072, 331/48, 
  -23425/512, 3221/256, 54703/3072, -61/6, 11419/512, -49597/3072, -281/48, 
  3883/768, 51/8, -37/32, -4009/256, -327/32, 3/4, -13/16, -61111/3072, 
  -197/8, -240617/3072, 283/96, -76723/3072, -122509/3072, -913/192, 
  171139/3072, 3183/256, 59/32, 11315/512, -479/96, -21/32, 89639/9216, 
  10897/3072, 8111/768, 450343/9216, -2785/384, -235/32, -287/48, 365/192, 
  88337/9216, 1969/384, 327/64, 265/192, -1/32, -111/16, -457/512, 9233/3072, 
  -56615/3072, 427/32, 84679/1024, -1265/256, -275731/3072, -7205/192, 
  -91511/768, 54829/1536, 12191/256, 144317/3072, -339/16, -57/64, 
  -10129/1024, 10485/512, 230417/3072, -3411/256, 1207157/9216, 339161/3072, 
  4091/96, -793/24, -7511/256, 445/192, 214435/3072, -36313/3072, -2225/128, 
  -4599223/18432, -112705/9216, -365/192, -5069/1024, -2119/1536, -265/192, 
  -1245/64, -89999/1024, -18991/1536, 2309/48, 8475/128, 153877/512, 
  27153/1024, -7571/48, -432991/3072, 1145/12, 114799/4608, -560837/3072, 
  1393/64, -1499209/9216, -312125/6144, -173959/3072, 25013/2304, 
  262903/2048, 429865/9216, -421/512, -18199/1536, -766547/3072, -1191/32, 
  26067/1024, 145757/1024, -633/4, 34627/256, -2486669/6144, 126025/1024, 
  -29179/1536, 174115/1536, -8669/512, 889/12, -70261/1536, 27/4, -373/384, 
  427/128, 5/16, -851/200, -13610821/115200, 169813/768, -239465/768, 
  9053/1200, -2700473/46080, 503579/1600, -20019451/13824, -371627/15360, 
  369511/3072, -191125313/172800, -142007/76800, -1312109/19200, -3823/512, 
  3/128, -39/64, -29/8, 201757/12800, -20544269/41472, 16176499/20736, 
  -587141/19200, -180161023/691200, 50786279/18432, -3210071/76800, 
  901845629/691200, 7058779/115200, 397/32, 10179073/13824, -1602271/6912, 
  154425287/1382400, -151493549/82944, -110141093/460800, -3294959/13824, 
  -12800435/20736, 18769423/55296, 3128279/13824, 102307/6912, 4642573/20736, 
  -15997553/207360, -1571813/34560, -1841/144, -269471/6912, -80068819/41472, 
  20835649/207360, -141887/5760, 148507/6912, 13034867909/4147200, 
  -5336369/51840, 24389/1152, -670566401/460800, -2861/288, 21/32, 
  -37540019/41472, -902663/5400, -631/216, 1/32, 2370227/8640, 
  2951607557/2073600, 4461721/28800, -19/64, -2786769371/1382400, 
  -1243876957/2073600, -335/384, 10682847307/6912000, -419/576, -75/64, 
  27964549/43200, -67/432, -337/96, -45637559/46080, -2754691123/3110400, 
  883/96, 123200543/194400, -85/32, 239/96, 195013/7776, 2927/288, 
  587777039/933120, 0, 2013443/186624, 0, 1/2, -309/64, -99/64, 5/32, -9/16, 
  21/8, 2455/384, -2621/192, -167/384, -637/512, -1691/96, 44281/1536, 
  15063/256, 14563/192, 2705/96, -54805/1536, -4711/512, -1501/64, -1325/384, 
  129/128, 5/4, 365/128, 543/256, -3/16, -257/32, -26677/1536, -733/48, 
  41767/384, -103/24, -130489/1536, -101641/1536, 51071/1536, -4457/96, 
  -823/96, 101/128, -2023/256, -437/48, 707/32, 18137/1536, -15107/512, 
  9175/1536, 95389/1536, -13067/768, 1/24, 1139/96, -2367/128, 8015/1536, 
  -8501/768, -265/96, 133/96, -1/2, 1021/64, -321/32, -6253/256, -807/16, 
  -11629/384, 13747/256, -60583/768, -9259/192, -1483/768, -76301/512, 
  -52463/192, -1127/64, 28751/512, 1713/64, -5/4, -1671/256, 177/4, 10183/96, 
  18767/384, -123149/3072, -583397/1536, 14537/512, 30571/384, 1723/192, 
  -69/128, 9791/768, -6117/128, -20419/384, 120271/1024, -5707/1536, -91/384, 
  -263/192, -175/96, -59/96, -89/8, 9515/256, 22655/256, 3325/16, 
  -71429/1536, 1411667/3072, -7387/1536, 12377/256, 183173/768, -21151/384, 
  637/128, -44953/384, -88709/256, -93211/3072, 234967/768, -158225/1536, 
  -1741/384, 37301/256, -81577/3072, 227/128, -3265/128, -10939/128, 
  -4051/16, -558203/1024, 678011/3072, 1301/48, 60455/768, 113615/384, 
  31379/768, -31903/384, 1473/64, 417/4, -173139/1024, -4467/64, -27/4, 1, 
  -267/32, -73/12, -259/24, 85/48, 245/16, 445/48, 2, 191/12, 1913/384, 
  -57/8, -1, 273/16, 173/16, 1403/48, -719/64, -1507/96, 135/32, -9193/384, 
  -8735/384, 43/32, -2053/192, -241/16, -571/32, 337/48, 121/6, 2879/384, 
  -197/48, 1463/192, 2033/192, -8, -567/32, 265/96, -131/24, 821/192, -3/4, 
  5/4, -55/3, -89/6, 113/3, 1279/48, 101/32, -989/24, 1093/32, 367/16, 
  -59/16, 443/12, 661/16, -1193/32, -4167/64, 409/32, 4865/192, 519/32, 
  -263/96, -8273/192, 217/6, 4327/96, -1981/96, -675/64, 1537/96, 1081/192, 
  -8, 205/12, 2689/96, 815/32, 3415/96, -1765/16, -1387/24, 179/8, -749/96, 
  4697/48, 106/3, 2737/96, 153/32, -3703/96, -1289/12, -1093/48, -425/32, 
  -429/32, 4891/32, 3829/48, 253/6, 365/8, -4939/96, -3861/32, -3629/96, 
  63/8, 27/16, -9/16, -63/8, -1/16, 4781/1200, 655621/172800, 4782769/20736, 
  85673/768, 30331/2400, 17033833/230400, -10082969/38400, -20215115/41472, 
  -16513/192, -583787/15360, -30703433/230400, -125041/57600, 19033/1152, 
  790393/76800, -1193921/19200, -3425/32, -7035/512, 717/64, -3/8, -411/32, 
  -26437/4800, -22709117/41472, -475933/648, -61/48, -222613/4800, 
  208985081/691200, 182845151/165888, 884797/2304, 1162949/9216, 
  32069281/691200, 196799/2304, 5206051/115200, 63167/288, -3821/384, 
  1685/64, 26278193/41472, 8674115/6912, 235/48, -72454909/1382400, 
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  -97/16, -263/16, -5/32, 93/16, -11/8, -2641/96, 3817/192, -1325/192, 17/16, 
  33/64, -1235/192, 13/96, 1843/96, -2251/96, -33/16, -253/192, 833/192, 
  135/32, -1009/96, 275/64, -65/64, -285/64, 75/32, 283/192, -1/4, 569/32, 
  45/16, 215/24, 257/96, -3785/96, -555/32, 67/2, -625/24, 589/32, 87/16, 
  907/96, -7/24, -5123/192, -1193/96, -1787/192, -83/16, -235/24, -1865/96, 
  389/12, 211/12, -31/24, 1115/96, -345/32, 31/24, -117/16, 167/32, 121/16, 
  721/24, -6413/96, -233/6, 3133/48, -131/48, 163/8, -2087/48, -3047/96, 
  19681/192, 835/192, 33/16, 659/12, -2141/48, -121/8, -37/16, -263/16, 
  -119/8, 155/48, 5255/96, 973/96, 219/8, 467/16, -1259/48, -377/16, 35/8, 
  9/4, -9, -13/4, 1/8, -3/2, -3/4, 1/8, -2, 1/8, 17/16, 3/2, -4, 53/16, 
  -125/16, 0, -5/6, -35/24, -139/24, 623/48, 5/8, 87/8, -133/24, -43/24, 
  -31/4, 33/16, 5/2, 1/8, 59/8, -11/8, -1/16, 11/16, 273/32, -1945/96, 7/48, 
  -1725/64, 1711/192, 5/48, 181/8, -17, -1/2, -47/16, -1207/192, 13/96, 
  461/96, -457/64, 1679/96, 89/64, -1859/192, -199/32, 5/32, 709/192, 135/32, 
  -199/192, -425/48, 105/16, -65/64, -285/64, 287/96, 283/192, 4, -183/16, 
  691/32, 45/16, 5/24, -11/12, -689/16, -947/96, -17/24, -101/4, 117/16, 1/2, 
  139/8, 3/2, 83/32, 28/3, -7/24, -7/2, 3125/64, -2905/192, 4585/192, 
  -1207/16, -711/32, -71/32, -645/64, -2021/96, -323/32, 1603/64, 2483/64, 
  -7/4, 1165/96, -799/64, 31/48, 9, -27/16, 121/16, 3/8, 5143/96, -9377/96, 
  -3/8, -2453/96, 185/32, -3095/96, -2669/96, -5171/192, 2321/16, 3415/64, 
  -17/32, 2389/48, -12091/192, -251/16, -389/32, -119/8, 0, 3161/32, 149/16, 
  409/16, -3569/64, -319/16, 9/4, -17/8, -2, 53/32, -125/32, 0, -1/2, -35/48, 
  -139/48, 623/96, 1/3, 87/16, -133/48, 1/24, -31/8, 33/32, 1/4, 107/64, 5/8, 
  -11/16, -1/4, -71/192, 569/192, -343/64, 15/16, 83/96, -2503/384, -593/384, 
  -299/96, -13/96, 667/48, 17/6, -1709/192, -65/16, -263/32, -5/64, -745/384, 
  -119/192, 5/64, -707/384, 17/12, -37/16, -11/64, 263/64, 355/64, -65/96, 
  -5765/384, 35/4, 65/128, 143/96, -65/128, 49/192, 41/48, 913/384, -725/128, 
  5/2, -283/384, 283/384, -269/192, -137/128, 2, -183/32, 691/64, 45/32, 
  -25/48, -689/32, -947/192, -201/16, 117/32, 139/16, -133/64, 1403/192, 
  -89/96, 121/192, 3743/384, 3563/384, 301/48, -829/384, -3385/96, -789/64, 
  381/32, -521/24, 589/64, 967/384, -189/32, -505/384, -401/192, -1643/192, 
  353/192, 2159/64, 3025/384, -587/384, -83/64, 605/128, -1467/128, 137/128, 
  9/2, -27/32, 121/32, 5143/192, -9377/192, -2453/192, -2465/192, -271/24, 
  -9/128, 6745/192, 247/16, 403/128, 8719/192, -131/96, 2603/192, -863/64, 
  -2721/128, -1697/64, 1067/128, -389/64, -119/16, 3161/64, 761/64, 
  -9197/384, -1057/48, 973/192, 6077/384, 9/8, -9/2, -21/4, 3, -3/4, 0, 0, 0, 
  0, 0, 9/4, -9/4, 0, 0, 0, 0, 0, 3/2, 3/2, 3, 3, -3, 3, 0, 0, -3/2, 0, 0, 0, 
  0, 0, 3, -3, 0, 0, 0, 0, -45/8, 15/4, 40/9, 0, -40/9, -15/16, 65/48, 545/9, 
  235/12, 40/9, 0, -40/9, -15/16, 65/48, 545/9, 235/12, 161/18, 0, 161/18, 
  -161/18, -161/18, -349/36, -349/36, 0, 7/4, 15/4, 0, -4, -15/4, 9/4, 5/2, 
  -94/9, 0, 3/2, 0, 0, 0, -9/4, -9/4, -9/4, 0, 9/4, 9/4, -9/4, 5, 5/8, 5, -5, 
  -1/2, 1/4, -1/2, 1/4, 0, -1/4, -1/4, 0, -3/2, 3/2, 3/2, 2, -9/4, -9/4, 0, 
  9/4, 9/4, 3/2, 0, 0, 0, 0, 0, 3/2, -9/2, 15/2, -9/2, -9, 9, -9/2, 9, 3, -9, 
  9, 0, 0, 3/8, 9/8, -9/2, 3/2, 0, 0, 0, -9/2, 27/8, 3/8, 9/8, 3/8, 9/8, -9, 
  0, 3/2, -6, 15, 0, 3, 0, 0, -3, 9, -6, 12, 21/4, -51/4, -12, -6, 15, 27/4, 
  -9, -3, 9/2, 9, -15/2, 12, 21/4, -51/4, -12, -6, 15, 27/4, -9, 3, 9/2, -9, 
  6, -12, -21/4, 51/4, 12, 6, -15, -27/4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -3/2, -15/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 
  0, 0, 6, 0, -3/2, 6, 3/2, 3/2, -3/2, 3/2, 3/2, 0, -3, -15, 0, 3, 15, 0, 3, 
  15, -6, -15/2, -3, -9/2, 1/2, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -3, 
  -3, 3, 0, -3, -3, 0, -33/2, -24, -3, -6, 12, -3, 0, 0, 0, -6, 0, 3, -3/2, 
  -3, 3/2, 0, -3/2, -3/2, 0, 24, -36, 6, -24, -9, -6, 3, 12, -6, -3, 0, -9, 
  -9, -15/4, 12, 3/2, 51/16, -19/2, 21/8, -57/16, -55/4, 23/8, -2009/288, 0, 
  -1495/72, 2009/288, 161/9, -23/8, 3, 1639/144, -81/32, -5, -2657/144, 0, 
  -116/9, 2657/144, 161/9, 7/2, 69/8, 2225/144, -69/8, -95/32, -9/2, -7/2, 
  -1415/288, 0, 7/2, 1415/288, 0, -81/32, 45/8, 3737/288, -195/32, 105/16, 
  45/32, -429/32, -35/8, 129/8, 57/16, 401/64, -57/16, -209/32, 209/64, 
  -69/16, -57/32, -3/16, 57/64, 57/8, 15/4, 69/4, 4655/144, 0, -407/36, 
  -4655/144, -107/18, -249/8, -725/24, 305/72, 81/16, -105/32, -81/32, -3/2, 
  -31/64, -39/4, 4177/144, 0, 18, -4177/144, -33/4, -401/16, -743/24, 
  1493/144, 105/16, -45/32, -569/32, 33/16, 1809/64, -385/64, 63/64, -85/32, 
  19/8, -105/4, -105/8, 777/64, 105/4, -105/8, 57/128, -57/128, 105/8, 
  -559/32, 63/64, -11/4, -57/64, -105/4, -105/4, 357/32, 105/2, -105/8, 
  233/64, 665/128, 315/8, -57/128, 131/64, 111/32, 9/2, -105/8, -63/64, 
  105/4, -47/128, -57/64, 105/4, 361/128, 27/16, 57/32, 57/16, 15/8, -57/32, 
  -57/16, -87/16, -171/64, -297/32, 57/64, 57/16, 57/128, 15/16, 57/32, 
  57/32, 15/8, -57/64, -57/16, -87/16, -57/64, 183/32, -57/64, 57/16, 
  171/128, -9/4, -27/4, 0, -9/4, 27/4, 9/2, -9/4, -9/4, -9/4, -9, 9/4, -7/4, 
  -15, 25/16, 3/2, 1, -25/16, -1/2, -3, -31/8, 1/2, 23/8, 1, -83/8, -12, 11, 
  -45/2, 45/2, 45/2, 9/2, -13, 17/8, 0, 2, -17/8, -1, 4, 27/4, 1, -35/4, 9/2, 
  -3/2, -9/2, 15/2, -1/2, -15/2, -5/2, 13, 15/2, -25/2, 9, -17/4, -3/2, -9/2, 
  -9/4, 3/2, 9/2, 15/4, 9/4, -9/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -9/2, 0, 9/2, -9/4, 3/2, 3, 9, 0, -9/2, 0, 0, 0, 0, 0, 27/8, 3/8, 0, 9/8, 
  3, -9/2, -9, 15/2, -12, -21/4, 51/4, 12, 6, -15, -27/4, 9, 0, -24, 0, 12, 
  0, 0, 24, 3, 0, -3, 0, 3, 3, 0, -295/16, -3/4, -57/16, -3/16, 57/32, 
  171/32, 15/4, 57/32, 455/8, -57/32, 57/64, 3/4, -3/4, -3/4, -9/4, -3/4, 
  3/2, 3/4, 0, 0, 9/2, -9, 9/2, -1344375/19328, -591357/19328, -3/4, 3/4, -3, 
  3/4, 9/4, 0, 3/4, -3/4, 153063/24160, -3/2, 3/2, -3/4, 104211/48320, -3/2, 
  3/4, -153063/24160, -3/2, 3942711/48320, 1/4, 3/2, 0, 0, 3/4, 129/16, 
  93/16, -93/16, 93/16, -3/4, 129/16, 93/16, 0, -177/16, -129/16, 0, 177/16, 
  0, 0, 0, 3/4, 177/16, 0, -3/4, 0, 0, -3/4, 0, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 1, -129/16, -1/2, 0, -1/2, 3/4, 25/8, 183/16, -1/2, 11/8, 1/2, 
  9/8, -3/2, -29/8, -15/8, -13/4, -1/2, 57/16, 9/2, 3/4, -9/4, 35/8, -23/16, 
  -41/8, 47/16, 7/2, -69/8, -1, 85/8, 169/16, 0, 0, -3/8, 349/96, -35/36, 
  25883/288, -349/96, 5507/72, -25775/288, -5437/72, -3/2, -121/9, -251/36, 
  0, -67/9, 197/9, 251/36, 199/9, -76/9, -79/6, 9/2, 457/18, 745/72, 241/18, 
  -599/36, -1457/72, -9/2, -1711/144, -847/144, 3/2, 0, -3/4, -3/4, 0, 0, 0, 
  0, -27/16, 27/16, 5/2, -17/6, 0, -17/4, 17/6, 7/4, -9/4, 139/18, 1/4, 1, 
  -3/4, -9/4, -121/9, 1/4, 3/2, -3/4, 0, 1, 2, -3/4, 13/2, 113/18, -7/4, 7/2, 
  -9/4, -11/2, 0, 1/4, -319/32, 1, 15/2, -16, 3/2, 5/2, -1, -19/12, -7/2, 
  -23/4, -115/24, 2, -23/24, 0, -9/2, -7/2, 103/48, 17/2, 473/48, 23/24, 9/2, 
  15/16, -81/16, -3/2, 3/4, 3/4, 3/2, 3/4, -3/2, -3/2, 21/16, -21/16, -1/2, 
  -1/4, 1, 1/4, 7/2, -5/4, -1/4, 3/4, 1/2, 1/4, 5/4, -3/2, -3/4, -81/16, 
  81/16, 81/8, -81/16, -81/16, 93/16, 303/16, 279/16, 117/16, 81/16, -3/2, 
  -3/4, 81/16, -3/4, -93/8, 3/4, 3/4, 0, 0, 0, 0, 129/16, 129/16, -129/16, 0, 
  0, 0, 0, -129/16, 0, 0, 0, 0, -9/2, 9/2, 9/2, -3, 0, 9/2, -9/2, 0, -3/4, 
  9/8, 27/8, 3/4, 3/4, -9/8, -9/2, 9/4, 9/8, -3/4, 3/4, -15/8, 111/16, 
  -147/16, -3, 1/4, -3/2, 3/2, 0, -9/2, 15/2, 3/2, 0, -9/2, 57/4, -99/4, 
  27/4, -9, 12, 7/4, 81/32, -3/4, 9/16, 57/16, -3/4, -15/8, -33/8, -33/8, 
  33/8, -43/32, -3/4, -73/4, -19/4, -4, -3/8, 87/16, -17/2, -57/16, -107/32, 
  -5925/56, 9/8, -3/8, -39/8, -2213/64, 1749/64, 3317/64, -2085/64, 15/8, 
  -9/8, 87/8, 351/64, -923/64, -3/2, -6, 159/16, -23041/224, -199/16, 
  -32057/672, 21/4, 327071/1344, 8635/84, -27133/1344, -15/8, 6, 3/4, 
  -629/64, -3/4, 1397/64, 9/8, -9/8, 9/2, 423/64, -7/2, -3/2, -27/4, 9/8, 
  27/4, 9/2, -1157/64, 1717/64, -97/16, -75/8, -7225/1344, 15/4, 8639/48, 
  51/4, 6605/672, -99709/1344, 501/16, 47918421/193280, 13390899/96640, 
  412251/12080, 373023/48320, 373023/24160, -412251/12080, -373023/24160, 
  -13876863/38656, 2460003/12080, -15230433/193280, -1098171/12080, 
  8558373/193280, 19035429/193280, 10732947/96640, -2460003/12080, 
  591357/19328, -10732947/96640, 0, 0, 0, -591357/9664, 5414649/193280, 
  13001931/193280, -357147/96640, 51021/12080, -303531/96640, -142131/48320, 
  -373023/48320, -373023/24160, -51021/12080, 142131/48320, 373023/24160, 
  22360239/193280, -3193479/96640, 15230433/193280, 1098171/12080, 
  -1865547/193280, -19035429/193280, -10732947/96640, 3118137/48320, 
  -1774071/19328, 10732947/96640, 278329/19328, -30519/12080, -359571/48320, 
  -3/4, 22, -9/4, -51021/12080, 262931/48320, -3/4, 874701/4832, 
  515421/96640, 7309893/48320, 25/4, -2309787/193280, -3942413/96640, 
  -3777133/19328, 1018527/6040, 3070529/24160, 42159403/193280, 
  -16567701/96640, 3/8, 39/8, -3/4, 27/8, -12, 15/4, 57/8, -15/8, 9/8, -87/8, 
  -3/8, 39/4, 3/2, 6, -3, -2193051/96640, 180243/24160, 1384617/48320, 
  455871/48320, -495/16, -3/4, -22629/48320, -559857/19328, 15/4, 
  -21570339/96640, -9742683/48320, 14713011/96640, 10557867/96640, 
  -17220021/96640, -3/4, 15/8, 57/4, -3/4, -15/2, 27/8, 3/4, 45/8, -9/2, 
  33/4, -33/8, 9/8, -9/2, -3/2, 3/2, -21/2, 3/2, 27/4, 0, -9/8, 
  -2482971/96640, 112293/12080, 9/2, -268929/48320, -27/8, 15/8, 
  267291/24160, -132225/19328, 3/4, -4039269/19328, -11020143/96640, 
  3910089/24160, 17029929/96640, -17093181/96640, 0, 27/4, 15/4, -267/8, 
  -3/4, -3/2, 33/2, 49/4, 3/4, 15, -14, 3/2, -15/2, -15/4, -3/2, -43/2, 5/2, 
  -9/4, 1, 267/8, 33/4, -11/4, 11/2, 3/4, 0, -3/4, 3/4, 3, -18, 57/2, -15/8, 
  9/16, -207/16, 2299/32, 10071/64, 4123/32, 1009/4, 2077/64, 60, -2203/32, 
  -5131/32, -42, 19273/32, 7643/16, -21/2, -9/4, 219/8, 33/4, -3/4, -75/4, 
  3/4, 18, 3727/32, 10071/64, -21, 2641/64, 141/16, 18, -2203/32, -33/8, -42, 
  33/4, -99/8, -39923/96, 11607/64, 4733/64, 10095/32, -115/32, 0, 0, 0, 0, 
  0, 0, 0, 0, -93/8, -441/16, -81/8, -129/8, 465/16, 489/8, 81/8, -93/4, 
  -537/16, 93/16, 99/4, 243/8, 81/8, -303/8, -291/8, 105/8, -117/8, -45/16, 
  141/16, 3/2, -69/16, -123/8, -3, 75/8, 123/8, -81/16, 69/8, 123/8, -75/8, 
  -69/16, 0, 0, 0, -3/2, 5/2, -7/4, 3/4, -129/16, 207/8, -93/8, -129/8, 
  171/8, 279/8, 537/16, -279/16, 153/16, 93/8, 111/4, -105/8, -3/2, 81/16, 
  -81/8, 3/2, 267/16, 3/2, 81/8, 0, 0, -93/8, 255/16, 0, 87/8, 0, 0, 0, 
  51/32, 6, -45/8, -177/8, -387/16, -171/8, 39/4, 177/8, 45/2, -33/8, -57/8, 
  -135/8, 69/4, 501/16, 39, -165/8, -207/8, 63/4, -129/8, -171/8, -39/8, 
  135/16, -27/4, -27/16, -333/8, 35/8, 471/16, -45/4, 231/16, 613/16, 45/16, 
  171/8, 107/8, -329/16, -171/8, -3/4, -1/2, -261/16, -387/16, 5/2, -11/4, 
  261/16, -5/2, 13/4, 3/4, -51/8, 41/4, 507/16, 81/4, -145/8, -87/8, 111/8, 
  -135/8, -133/4, -27/4, -45/8, -21/4, 57/8, 39/4, 115/8, -11/8, -13/2, 77/8, 
  149/16, 49/2, -45/4, -75/8, 367/16, 55/8, -57/4, -3289/192, 12469/144, 
  93607/1152, 0, 0, 0, 45/16, 1633/144, -93/128, -35/6, 0, 0, 35/6, 0, 0, 
  75/128, 45/16, 12173/1152, -93/128, 1529/192, -679/1152, 3119/96, -1555/48, 
  -4007/72, 100355/1152, -185/4, -3479/96, 2879/24, -12433/144, -1401/16, 
  31/32, 93/64, -21/16, -2611/288, 0, -10297/432, 2611/288, -79/3, 10297/432, 
  79/3, -63/32, -83/12, -26683/2304, -13991/384, -95245/6912, -303/128, 
  69/16, 21409/2304, 303/128, -15/8, 523/1152, -7249/288, 0, -3/4, 
  -89945/3456, 7249/288, 47/8, 11047/432, -13/4, 25/8, 83/8, -433/48, 
  1577/384, -19723/384, -9787/432, -81/16, 13/8, 21517/2304, 303/128, -1/32, 
  -339/64, -2059/32, -127/128, -34093/1152, -43/16, -21/16, 105/8, -2, 
  -117/16, -33/4, 903/128, 32315/576, 11097/256, -105/8, 95/8, -81/16, 
  -673/128, -7633/128, -73/16, 6009/256, -15/32, 51489/256, 1/2, -655243/768, 
  3229633/4608, -531403/4608, -9/4, -835/36, -269/18, 0, 6, 1391/36, 269/18, 
  -15/4, -139/9, 0, 9, 2125/36, 1231/48, 61/18, -283/9, -475/36, -45/4, 
  -743/24, -1261/72, 9/2, 115/8, 1297/288, 0, -2137/288, -1337/144, -355/36, 
  -233/8, -163/288, 5683/288, 57/4, 2235/128, 1969/128, -21/4, -961/32, 
  -1577/256, -1/8, -1/2, -1955/144, 0, 3/4, 4/3, 1955/144, -31/8, -5/6, 13/4, 
  0, 1355/36, 1105/48, -12, -641/36, 38/3, -9, -1561/48, -1639/144, 9/2, 
  19/8, 649/288, -25/48, -601/64, 205/576, 873/128, -165/8, 2797/288, 
  4747/288, 57/4, 649/128, 1637/384, -8081/1152, -1293/32, -3865/256, 473/32, 
  29/4, 17/4, -27/64, -21/16, 41/8, 0, 0, 25/64, 0, -33/64, 0, 141/64, -39/4, 
  23, 161/4, -209/128, -539/96, 9/2, -27/16, 3, -1, 119/16, 43/16, 41/16, 
  1819/128, 307/192, -953/64, -1183/384, -41/16, -6689/512, -7895/1536, 
  -1673/384, 277/512, 1, 1517/64, -10, 47/2, -597/64, 3, -47/2, 6, -119/64, 
  -1, -13/4, -1, -5/2, 11/4, 3/2, 1, 273/128, 65/8, 611/96, 2, -15/4, 15/8, 
  -183/8, -11/2, 5/4, -1, 75/4, 347/8, -2, -165/8, -25/64, -167/128, -131/96, 
  -481/32, 13/4, -7/2, -1/2, -11/4, -53/12, -3/2, -1/2, -85/6, 3/2, -53/8, 
  -9/4, -1, 53/12, -11/4, 113/48, 53/8, 9/2, 9/4, 189/16, -9/4, -42, -81/2, 
  -3/4, 317/8, 323/8, -21/8, 687/8, 39, -105/2, -359/8, -315/8, -423/16, 
  155/8, 203/4, 101/16, -37/8, 17/4, -10/3, 19/8, -99/8, 9/4, -27/8, -13/4, 
  157/48, 21/8, 11/2, -9/4, 8, 1/16, 55/8, 0, -11/4, -319/16, 0, 11/4, 
  347/16, 327/8, 279/8, -399/16, -287/8, 315/16, -191/8, -3/2, 417/16, 201/8, 
  -81/16, 117/16, -81/8, -117/8, 243/16, 117/16, 81/16, 81/4, -9/2, 81/4, 
  315/16, -81/8, -243/16, -45/16, 81/16, 81/16, 81/4, -81/16, -81/8, -81/4, 
  81/16, 81/8, -165/16, 81/4, -105/16, 651/16, 105/16, -81/8, -243/16, 3/2, 
  129/8, 93/16, 81/8, -3/2, -81/8, 3/4, -243/8, -117/16, 81/8, -3/4, 0, 
  141/8, -231/16, 3/2, 9/4, 85/4, -1, -2, -27/4, -6, -99/8, -27/4, 27/2, 
  99/8, 27/4, -117/8, 129/16, 57/8, 117/8, 18, 45/8, -18, -27/4, 63/16, 
  -45/4, -45/8, 33/2, 21/8, -387/16, -261/8, 477/8, 27, -39, 207/4, 513/16, 
  -987/16, -441/16, -6, -243/16, 159/8, 6, 3, -9/4, -27/4, -3/4, 9/4, 27/4, 
  -1/32, -13/4, 18, 9, -12, -63/8, 333/32, -73/8, -81/8, 173/8, 15/4, 3/2, 
  -111/8, -39/4, 9/4, 165/8, -3/2, 261/8, 143/4, -795/16, -61/2, 6, 13/16, 
  -117/16, 77/8, -107/16, 81/16, 9, -27/2, -39/2, -21/8, 15, -45/4, -21/8, 
  -75/8, 21/4, 39/8, 333/16, 3/4, -387/16, 273/16, 405/16, -243/16, -207/64, 
  -301/32, -863/64, -19/8, 57/32, -57/16, 57/32, 899/64, 1115/32, 655/64, 
  -57/8, -57/8, -95/4, -285/64, -665/64, -77/8, 9/32, 33/16, -57/32, 173/16, 
  167/8, 19/8, -171/32, -57/32, 963/64, 321/64, -57/16, -23, -91/32, 12, 
  5/32, 31/32, -15/2, 153/32, 9/4, 21/16, 39/4, -7/16, -63/8, 6, 15/4, 81/4, 
  1/32, 36793/448, 2255/56, 57/16, -33/8, -517/32, -57/16, -181/32, 981/16, 
  -35821/224, 445/32, 2846709/19328, -51021/12080, 1369443/9664, 358227/9664, 
  373023/24160, 373023/12080, 0, 51021/12080, -358227/9664, -373023/12080, 0, 
  0, -45872277/96640, 22873503/96640, -15230433/96640, -1098171/6040, 0, 
  130299/2416, 19035429/96640, 0, 10732947/48320, -32638173/96640, 
  591357/19328, -37517139/193280, 11567439/96640, -51021/12080, 
  -3646509/48320, 401715/9664, 373023/24160, 51021/12080, -401715/9664, 
  -373023/24160, -13664589/38656, 3955371/19328, 15753/6040, -11702577/48320, 
  2821251/48320, 5335731/38656, 45188067/193280, -9147177/24160, 
  -11306451/96640, -17939661/96640, 17220021/96640, -3/4, 33, 31/8, 
  -3825299/96640, 1037817/48320, -83/2, 21/8, 1261297/48320, 9, -35/4, -3/2, 
  76375363/193280, -16109911/96640, 0, -2019671/193280, 7/2, 
  -14314489/193280, 9175097/19328, -12260039/193280, -30859503/96640, 3/2, 
  565569/48320, 100851/6040, 55/8, 453723/48320, -250851/24160, 
  -4042739/96640, -373023/24160, 602937/48320, 60719/6040, 21/8, 
  250851/24160, 2007343/48320, -57/2, -35/4, 3, -18, 51495777/193280, 
  799131/48320, 15861563/38656, 3096237/12080, -16109911/96640, 0, 
  -2087667/96640, -892843/6040, 7/2, -49872017/96640, 9312711/48320, 
  68488387/96640, 12767197/48320, -13059909/19328, 335/24, 7/4, 1073/64, 
  5231/64, 5359/32, 5933/64, -25781/192, 14235/64, 23855/64, 14179/32, 
  22525/64, -12661/32, -14291/32, -42817/64, -15/4, -9/2, 68089/192, 
  -13083/64, 104509/96, 318301/192, 43801/64, -471/16, -367/12, 3/4, 3359/12, 
  10855/24, 488/3, -3/2, -4067/192, -30709/192, -159/8, -8489/96, 50, -3/4, 
  -196531/192, -216755/192, -9397/16, -5635/12, 20403/64, -3/2, 105895/96, 
  60157/64, 15/4, -9289/16, -17935/288, -9691/192, 250909/576, 97601/64, 
  -550045/576, -250297/192, -62389/64, 627251/192, -48611/72, 12, 1, 
  -5963/12, -11, -40157/48, -1397/4, -26551/96, -26389/96, 57/4, 439/3, 
  46271/96, 13565/96, 40775/192, -52961/192, -279/2, -32143/48, -53867/96, 
  126, -43/4, 13591/8, 74053/48, -681727/288, -297473/144, 3823/32, 
  -2376277/576, -2069035/576, -1303/96, -28577/24, 674599/288, 910343/288, 
  451/32, 3, -824/3, 7253/24, -3/4, -59/8, 119995/96, 4703/24, 5687/16, 
  3893/24, 28717/96, -69/4, 7973/24, -42815/96, -1149/4, -64717/96, 14657/32, 
  75/2, 25231/48, 13733/16, -30, 9331/16, -713495/288, -10467/4, 831559/192, 
  1983821/576, -3399/4, 832381/144, 386359/96, -14357/16, 29667/16, -3771/8, 
  -854023/192, -774215/96, 149011/144, -93/16, -129/8, 219/8, -153/8, 651/16, 
  309/4, -357/16, -837/16, -537/8, 93/16, 93/8, 387/16, -57/4, -99/2, 
  -921/16, 675/16, -93/16, -129/16, 141/16, -141/16, -111/8, -117/16, 39/2, 
  351/16, -81/16, 141/8, 111/8, -39/2, -141/16, 0, 0, 0, 0, 0, -1163/32, 
  -8797/64, -7771/64, -135/8, -129/8, 0, 1313/16, 0, -1313/16, 45/8, -75/8, 
  -15/2, 165/16, -239/16, 3/2, 1229/16, 179/16, 3/2, 9/8, 69/8, -81/16, 
  1751/32, 32, -13/2, -5129/64, 4, -839/64, 233/16, -1253/16, -123/16, -21/4, 
  7/2, 35, -3/2, 67/32, 33/64, 25/48, -661/24, 87057/256, -157907/3456, 3/16, 
  -25/4, 72833/384, 0, -4277/48, -237/64, -157117/576, 3457/64, -17957/192, 
  4277/48, 319909/2304, 105539/3456, 17957/192, 875/72, -45/8, -3365/1152, 
  -4513/144, 0, -343/36, -144529/3456, 4513/144, 857/72, 1208/27, 13/4, 13/8, 
  249/16, -255/16, -10471/2304, -6329/64, -255239/6912, -951/128, 95/16, 
  27619/1152, 303/64, -1091/72, -2129/192, -25/24, -10057/1152, -491/16, 
  9535/192, 16631/288, 263/16, 41503/1152, -171/32, 6, 1067/48, 18479/576, 
  -5117/144, -8915/144, 97/32, 651/64, 51489/256, -45/8, 835/24, 8177/192, 
  1123/36, -289109/768, 69647/3456, -39/16, -655243/768, 51/8, -75695/384, 
  -197/192, 3229633/4608, 4205/48, -531403/4608, 45/8, 11483/288, -2219/192, 
  -53669/1152, 41425/144, 80449/1152, -51/8, 16657/576, 6537/64, -4205/48, 
  7279/384, -37709/2304, -525487/6912, -9707/96, -16543/2304, 3/4, -167/16, 
  1, -17/4, 191/16, 7/2, -1, 787/128, -303/16, 251/96, -27/4, -3/4, 173/8, 
  -199/8, -287/32, -191/16, -7, 581/16, -719/16, -179/16, 187/4, -67/4, 
  -341/8, -183/8, 19/16, 37/8, 19/4, -109/16, 97/16, 45/8, 393/64, -659/128, 
  -1157/192, 77/4, 735/64, -45/8, -2829/128, -2327/1536, -1123/64, 1429/512, 
  -1105/64, 2085/64, 1/4, -681/16, 51/4, -27, 9/2, -207/128, -2663/192, 
  2851/384, 2693/192, 445/256, -349/64, 0, 0, 141/8, 0, 0, -231/16, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 21/32, 93/32, 9/2, -27/4, -9/4, -1/2, -195/8, -7/8, 9/4, 
  5/8, 1/2, 1/2, -1/2, 147/8, 41/4, 1, -13/8, -1, 27/8, -55/8, -27/8, 23/4, 
  -23/4, 251/8, -237/8, 21/2, -151/4, -21/2, -35/2, 113/8, -317/32, -3/2, 
  -1/4, 9/4, 1, 313/32, -3/4, 13/8, -197/8, 125/8, -43/8, -51/4, 185/8, 
  -343/8, -61/8, -71/8, -3, 75/8, -57/4, -36, -243/16, 1317/16, 561/16, 
  81/16, 39/256, 75/256, 9/64, 3/256, -3/256, 81/256, -3/128, -117/128, 
  -3/256, 3/128, -39/256, 117/256, 3/4, -93/16, 3459/256, 9/16, 1485/256, 1, 
  -5/8, -15/4, -13/8, -31/16, -3, 3/16, -11/8, 13/16, 21/16, 135/32, 13/16, 
  13/16, -3, -69/32, -1, 3/2, 9/8, 21/16, 49/12, -47/32, -101/24, -185/96, 
  839/96, 9/4, 1/2, 231/8, 79/8, -9/4, -5/8, 0, 0, -48015061/193280, 27/8, 
  -13439219/96640, -348863/48320, -218961/24160, -41/4, -1, 431881/12080, 
  397183/24160, 0, 0, 13876863/38656, -2527953/12080, 15230433/193280, 
  85427/9664, 21/4, -3229131/38656, -19035429/193280, 0, -10732947/96640, 
  2410173/12080, 497133/19328, 3210249/38656, 3, -59/8, -4, 309/16, 51/16, 
  65/8, 41/4, -521/32, -7/4, -8, -3/32, 7/4, 1/16, -315/16, 1/4, -153/16, 
  -9/8, -4, 0, -287/4, -5/8, -375/8, 23/16, -17/4, 63/16, 201/16, 47/4, 
  15/16, 1641/16, 53/16, 931/16, 107/32, 103/8, -207/32, -149/16, 37/4, 
  -41/8, -79/16, 3/4, 189/32, -573/16, 0, -1/4, -3/4, 204337/48320, -7/8, 
  1845071/12080, -19/16, 501/16, -2691167/289920, 541459/7248, 
  -3593651/48320, 4357/24, -214415/7248, -15829/96, -111/16, 165/16, -19/2, 
  -6150889/36240, -8529229/72480, 321683/96640, 2237913/96640, 
  -7124929/72480, -3/8, -2, 107/8, -59/4, -1/8, -5/8, 251/16, -65/8, 1/4, 
  7/2, -11/2, 0, -45/8, 129/16, 0, 0, 237/8, -237/8, -249/8, 113/64, 1/4, 
  11/8, 13/32, -69/64, 33/16, 93/32, -471/32, -677/48, -81/8, -129/8, -129/8, 
  0, 0, 0, 18, 141/16, -1211/16, -1451/16, 999/16, 151/2, 35, -3/2, -3/2, 
  -3/2, -63/16, -1103/16, -1475/16, 1069/16, 2327/16, 397/16, 0, 0, 331/16, 
  447/8, -97/16, 0, 0, -3/2, -3/2, 0, 0, 279/16, -351/4, 1797/16, 2259/8, 
  651/16, -1411/16, -515/16, -93/32, 923/16, 527/64, 33/8, -341/64, 
  11483/128, -235/8, -11611/128, -3, -249/32, 87/2, -21241/128, -2557/128, 
  -2157/64, 333/2, -129/64, -129/32, -3747/16, 1289/16, 30949/128, 61989/128, 
  -2163/128, -63/2, 1873/16, 86627/128, 4069/16, -2775/8, 397/4, 527/32, 
  -56639/128, -2039/32, -95/8, -4999/64, 197/64, 9587/64, -10797/64, -533/16, 
  -21501/64, 27121/64, 1411/2, 11009/16, -20867/64, 47115/64, 779/64, 
  -41255/64, -12427/32, -21813/128, 29081/128, 9299/128, 40943/128, 929/32, 
  33049/128, -9931/128, -8819/128, -2809/32, -7131/128, 81/4, -145/8, 
  7259/128, 1, 1/16, 0, 61/32, 3035/96, 0, -119/64, -19811/384, 57/128, 1, 
  231/32, -3/16, 0, -21899/192, 1563/16, -17/16, 178481/384, -93/64, -61/16, 
  157/16, 777/8, 144, 4639/16, -3143/32, 479/16, 573/32, -13523/32, -2401/32, 
  31/8, -97/32, -9/4, -35/16, -17347/192, -5507/64, -5/16, 1135/128, -371/64, 
  73/16, -5201/64, 27249/64, 1881/16, 12853/24, -3573/32, 1953/8, -5619/64, 
  -2305/4, -13437/32, 273/16, -14423/128, 30837/128, -177/8, 12569/32, 
  -769/32, 1929/8, -62021/128, -4727/32, -22131/64, 37, -30677/128, 259/32, 
  139/64, 319/32, 2497/768, 32293/2304, 0, 61969/2304, -32293/2304, 0, 
  -17365/576, 0, 0, -9211/768, -117/256, 1067/72, 117/256, 41/256, 27/64, 
  21/32, 29141/2304, -28111/64, 5957/768, 214735/6912, 275557/768, 
  -17411/3456, -4043/144, 71/8, -339757/2304, 1871/36, 130499/1152, 
  -15223/128, 35077/1152, -8749/768, 1180291/6912, -15563/32, -13149/256, 
  3625/2304, 5557/96, -321599/2304, 15139/128, -163063/2304, 13569/256, 
  457057/6912, 33581/384, -1867/192, -3/4, -13/8, 5/8, 389/32, 7/8, -269/32, 
  -65/16, -13/4, 47/6, 0, 5903/432, -47/6, 12629/864, -4499/432, 145/96, 
  -9119/864, -145/96, 111/16, 311/32, 1207/576, 10301/288, 3043/384, 
  10055/768, -163223/3456, -253895/6912, -5/2, -301/192, -47/16, -6623/288, 
  -2513/256, -1/4, 49/16, -122093/9216, -106685/9216, 1953/256, -1209/256, 
  -145/64, 143/64, 119465/9216, 1000885/9216, -3109/128, 4105/128, 
  816199/9216, -783655/9216, 3/8, 277/32, 1/4, -3499/1152, 5287/576, 0, -5/4, 
  34489/3456, -5287/576, 7/8, -2999/432, 1/8, 47/32, -49/16, 5, -3/16, 
  -485/72, 1925/96, -19/16, 1531/216, 23/16, -5/8, -61/8, -45/16, -316/9, 
  -265/96, -9/32, 2, 7/8, 29/32, -3, 33/32, -145/96, 1099/384, 2304137/9216, 
  91/24, -57625/6912, -5657/384, -311/108, -287785/9216, -559/192, 
  992293/13824, -1475915/13824, -11663/128, -3/16, 1439/128, -2305/192, 
  21/128, -1627/128, -1/32, -169/16, -265/1536, -45/128, 1627/128, 9/128, 
  6235/512, 0, 0, -231/64, 403/16, 3/4, -965/128, -561/16, -17/4, 403/32, 
  275/128, 77/24, -5911/128, 891/64, 30793/1536, 231/64, -427/16, 245/8, 
  965/128, 847/16, 17/4, 97/16, 2613/64, -23269/512, 3/2, -151/4, -143/8, 
  -8003/192, 51/8, 8, 2, -1, 447/32, -9/4, 697/96, 5419/288, 163/128, 
  2377/384, 22141/576, 77/12, 329/24, 4511/144, -7/4, 455/96, -4051/256, 
  -35509/1152, -63/4, -6323/256, -133027/2304, -907/192, -108005/2304, 
  -455/96, 453/128, 1003/64, 10457/512, 38969/1536, 3981/256, -469/128, 
  -3109/512, -2741/1536, -4949/1536, 1219/6144, -16637/6144, 145/64, -143/64, 
  25/128, 17365/384, -675/256, 66475/6144, -135019/6144, 7529/512, 
  -12185/512, 3, 13/4, 1/16, -3/2, 443/96, 75/128, 11/64, 127/24, -41/32, 
  -59/128, -4915/384, -545/64, -179/32, -553/48, -41/16, -425/128, 2359/192, 
  -385/128, 419/64, 299/48, 193/32, -525/128, -9/8, 0, -263/32, 437/32, 
  -41/6, -1/16, -755/128, -289/24, -4109/128, 285/8, 3/2, 741/64, -6291/128, 
  -443/96, 243/32, -243/32, -243/32, 81/32, 81/8, 81/16, 81/16, -81/8, 81/16, 
  -243/32, 0, -51/16, -165/8, 2655/32, -3073/32, -1717/8, 243/32, 0, 
  -13423/32, -1685/4, 14531/32, 5315/32, 0, 13205/32, 11717/32, 0, 0, 0, 
  81/64, -1, -81/64, 73/16, 0, -89/16, 27/16, 39/8, 15/16, -237/64, -21/64, 
  -101223/64, -85181/32, -104691/128, -135/32, 34977/16, 240743/64, 
  102627/128, -4613/16, -63263/64, -10595/64, -339/32, -453/32, 3/16, 237/64, 
  142773/32, 641515/128, 108099/128, -558541/128, -439133/128, 100243/128, 
  279/16, 303/32, -9/8, -279669/64, -298743/128, 313473/128, -207/32, -3/16, 
  47565/32, -33/16, 105/4, 1581/32, 1017/32, 441/32, -27, -309/8, -1155/32, 
  -3159/64, -153/8, -5913/64, -1663/32, -501/64, -3/64, 81/64, 1131/64, 
  315/16, 113/8, -793/16, -743/32, -2829/64, -105/8, 57/16, 1569/64, -57/16, 
  -1, 73/16, -1, -6, 19/4, 3/4, 3/16, 2195/4, 35377/128, 27/16, -114521/384, 
  13/4, 29/8, 251/32, 21/4, -1077/2, -82137/128, 118229/384, -69/8, -7/8, 
  5849/16, -25/32, -9/8, 3/4, 17/8, 25/8, -30, -37/4, -535, 106553/384, 
  -17/32, 1461/64, 10403/128, 247/64, -1/2, 1/2, 521/32, -153/8, -32225/128, 
  523/64, 0, 323/16, -317/16, -3, 317/16, 9/2, 325/16, -3/2, -325/16, 81/16, 
  1109/16, 567/16, -183/16, -803/8, -21, -779/16, -2021/16, -127/4, 123/8, 
  -81/4, 171/8, 243/4, -315/4, -27/16, -253/4, 113/8, -123/2, 27/8, 693/16, 
  -35/2, 37/8, -81/16, 97/4, 81/16, -5/12, 35/12, -13/4, 3/4, 81/16, 185/4, 
  -129/16, 567/16, -71/2, -555/16, -83/8, -71/4, -827/16, -151/4, -57/2, 
  -3/4, 3/4, -1269/16, -125/16, 675/8, 27/8, 627/8, 0, 81/16, 81/16, -189/64, 
  215/32, -121/32, -109/32, -67/64, 171/8, -291/32, -207/16, -13/4, 317/16, 
  3, -1, -317/16, -6, 0, 6, -313/16, 3, -13/2, 313/16, 19/4, 12, -369/16, -3, 
  409/8, -239/8, -135/8, -38, 747/16, -121/8, -263/16, 13/4, -187/8, 355/8, 
  -7/2, 123/16, -483/16, -317/16, -147/8, 81/4, 341/16, -159/8, -243/4, 
  241/16, 327/4, -277/16, 1109/16, -521/16, 51/8, -807/8, 1849/16, -7/16, 
  -21, -9, -551/16, -81/4, 3/4, -11/4, 207/8, 46, -315/4, -667/16, -195/16, 
  -549/8, 733/16, -221/8, 37/8, 251/16, 183/256, -75/128, 0, -45/256, 3/128, 
  -3/64, -789/64, -81/256, 747/128, 9/8, 93/16, 671/64, 37/128, 3/256, 
  -891/128, -9/8, 295/256, 299/256, 9/8, -1, 13/32, 9/8, -1/16, -3/8, -17/16, 
  -1/16, 129/128, 3/128, 49/12, -21/4, -49/8, 49/24, -1897/64, 1627/64, 5/8, 
  21/4, 137/16, 49/16, 167/32, 49/24, -17/16, -47/48, -343/24, -245/24, 
  35155/384, 63/16, -907/192, 171/16, -3145/96, -247/48, 43/48, 49/4, 
  -1903/64, -3445/48, -89003/256, 5/4, -3805/192, 6385/192, 17/8, 119/4, 
  59943/256, 184349/256, 173/8, -49191/128, 49/12, 533/128, -69/8, -49/24, 
  14, -81/4, -1/16, 2601/128, -3/8, 2741/128, -29/16, 13/128, 21/4, 49/16, 
  -41/8, -1469/64, -99/128, 49/24, 47/48, 3/128, -245/24, -183/64, -21/4, 
  -49/24, 5755/384, 169/2, 1879/64, -661/256, -1339/64, 203/32, 173/192, 
  -49/16, 2003/192, -25/8, -149/48, -77/96, 49/8, -1577/64, -21/2, 
  -11695/384, 843/256, -1339/32, 149/32, -3173/192, 1349/192, 91/32, 55/2, 
  54567/256, 67579/256, 375/16, -49191/256, 1, 31/64, -159/16, 1, 1177/256, 
  321/16, -27/4, -7/8, -1977/64, -549/16, -1/8, 6475/256, -41/16, 3/64, 3/8, 
  -3, -49/16, -1117/128, -17/4, 6105/256, 5261/128, -9939/256, 135/32, 13/16, 
  37/32, 3/8, -1013/128, -69/32, -69/32, 25/12, 1337/256, 357/8, -9/2, 
  -24725/768, -164405/1536, -757/16, 4057/256, 34325/512, -1007/64, 373/48, 
  -253/128, -15/4, 1811/96, 5317/128, 2245/512, -161/24, -163/48, -2239/192, 
  11/48, 2717/768, -12637/512, 235/16, 209009/1536, -2123/512, -1265/32, 
  1155/256, -8/3, 68969/768, 6545/384, -172791/512, 337/8, 71323/256, 
  -63359/1536, -56375/256, 3210257/36240, -3/2, -604237133/289920, 
  1838833/96640, -18780701/57984, -1076779/48320, -388219/24160, 79/8, 
  9383/96, 3654197/36240, 113873101/36240, -10823843/289920, 
  239176747/579840, 1070739/24160, -34284859/144960, -7727/48, 109/6, 
  -82921019/96640, -52674377/579840, 6287/96, -9664103/48320, -3210257/36240, 
  -40191569/115968, 280390823/289920, 123472279/96640, -10828553/579840, 
  1341807/2560, 2701098331/579840, 31477459/289920, 33655277/96640, -41/4, 
  2050577/36240, -4018037/115968, -1107247/57984, 322618393/579840, 
  -70884837/19328, -35430571/96640, 33682369/144960, -19237063/18120, 
  -118915361/289920, -29043649/144960, 42105041/115968, -10563253/7248, 
  -272280095/115968, -23243659/115968, -465308137/289920, -125/8, 
  -194916887/579840, 226819289/579840, 380525189/579840, 3025139/289920, 
  58812471/96640, 226217811/193280, 540621/19328, -112210293/193280, 1, 
  63/32, 3/8, 289/32, -49/8, 559949/19328, 1, 345/64, 89/8, -75/32, 943/128, 
  -133/64, 937/32, -117/4, -1297/192, -25/16, -33/4, 5529939/48320, 395/8, 
  3/4, -520045/9664, 60220841/144960, 64369103/72480, -2128753/96640, 
  289241/906, 7254583/9060, 1584139/48320, 1602259/24160, -81/32, 75/4, 
  -657515/9664, -281/4, 1/4, -20223/6040, -2753599/3020, 206993/4530, 
  -56390317/72480, -1602259/24160, -637/12, -149/8, -20/3, 416391/24160, 
  -1646347/72480, 79/2, 155/24, -3/8, 3364277/18120, -1074433/579840, 
  -6731275/14496, -566601/12080, 4646275/115968, -248759827/193280, 
  -476035349/96640, -36542317/289920, -31505081/96640, 289/32, 
  -2512637/18120, -510192449/579840, -673967933/289920, -132824001/193280, 
  719066337/193280, 37620283/96640, -31979089/72480, 38036215/19328, 
  1026093/1510, 28608769/72480, -162966293/579840, 320790357/193280, 
  195983049/96640, 77113357/289920, 476133667/289920, 97/4, 245519959/579840, 
  -2139675/9664, -107487149/144960, -17564671/115968, -34772709/48320, 
  -187461763/193280, 535789/19328, 64130769/96640, 3, 25/4, -65327/24160, 
  4587699/48320, 3457/64, 89/8, -1742193/48320, 477476/2265, 55644323/72480, 
  -75/32, 53281/9664, 176115/4832, 943/128, 1167379/24160, -85/64, -65/4, 
  -778315/9664, -1199/32, -15/4, 7494209/36240, -1019307/1510, 1838833/48320, 
  -334609/36240, -1113019/24160, -295/12, -403/8, 103/4, -1742909/24160, 
  -1972507/72480, 6671/192, -493/24, 49/16, -25/4, 74663743/289920, 
  -77328577/144960, 395269/12080, 1923393/48320, -69049063/289920, 
  -461073013/289920, -1064699/24160, 7319291/9664, -1765187/18120, 
  -475286357/579840, -761445253/289920, -133763897/289920, 152104433/193280, 
  -9806311/36240, 1579/48, 138437765/57984, 1418127/4832, 18626159/72480, 
  -83447179/289920, -167961067/579840, -74167613/96640, 16329767/72480, 
  -48673979/48320, -24720553/36240, 419355451/289920, 2769329/1208, 
  -1547641/289920, 49276573/579840, 285030523/579840, 420274211/579840, 
  151454707/193280, 156801967/289920, -46589703/193280, -21/8, -121/16, 
  -133/16, -8, -15/8, 143/16, -415/16, -733/8, 9/4, -333/16, -105/2, 31/8, 
  123/4, 41/16, 37/8, -15/8, 205/16, 22, 61/16, 521/16, 2283/16, -227/16, 
  485/8, -259/32, -271/16, -55/32, -277/16, 657/32, -329/16, 155/16, 197/16, 
  245/32, -743/32, 0, -9/8, -929763/24160, 17/8, -27/4, 718413/48320, 
  -20409727/72480, 4951777/48320, -320269/24160, 13132711/14496, -93/16, 
  663/8, 627/16, 105/4, -27878453/289920, -728753/7248, -8889199/18120, 
  1925/24, 8003/48, 89621/3624, -2519/16, -27879227/289920, 307/3020, -957/8, 
  6150449/28992, -619182191/289920, -1619638/2265, 246855119/193280, 
  19223/96, 86764207/289920, -5309819/36240, 376886747/579840, 
  138723491/96640, 148422627/193280, 45131777/289920, -46782983/193280, 
  -5077/8, 1206907/576, -844711/576, -189643/48, -270865/24, 5753379/128, 
  3083875/128, 728521/32, 3163597/48, 1752131/144, -566057/16, 723133/576, 
  -1215/128, -1725757/2304, -35618495/1152, -3280601/384, 2332645/64, 
  113065/1152, 5109947/96, 11121737/144, 4046417/1152, -3152671/36, 
  -837443/384, 1039273/576, -123277/48, -910591/192, 204073/144, 
  30690071/1152, 2893253/1152, -13667/12, -47393755/576, -2568677/1152, 
  1303/16, 1641673/2304, -748799/128, 971/32, 15/4, 9/4, -914167/576, 
  -9990877/1152, 8657/48, -5563/16, -6908639/576, 9470071/1152, -8959/16, 
  6024107/576, 455765/288, -229/8, -8192525/576, -6619381/288, -14282801/384, 
  -31825199/1152, 2420725/72, 29109715/1152, -1856785/288, 88, -12563495/576, 
  1141571/576, 39629995/576, 15662563/288, -66777503/1152, -1233/8, 
  -1783415/96, -16239625/192, 513/4, -910531/576, 5380165/2304, 
  -16182119/576, 286451/6, 5003359/288, 1141105/72, 8720213/192, 
  16252273/192, 716723/384, -3342365/384, 93061/6, -22717523/384, -453803/64, 
  13110617/1152, -16725/128, -44598509/2304, -745487/192, -2497/32, 5077/8, 
  729847/576, -5359/96, -12133/24, -1337/3, 9058279/2304, 5179/96, -2795/8, 
  9761569/2304, -9041575/2304, 45707/192, -11607773/2304, 143/64, 2539/4, 
  15257375/576, 1215095/128, 8194553/1152, 15868739/576, -165853/6, 
  3255611/384, -1695169/72, 43905317/2304, 11507585/2304, 10153/8, 
  2332201/144, 76233943/1152, 1551011/48, 97464797/1152, -17465927/1152, 
  -648117/32, -727963/8, -53641939/576, 567833/32, -363317/144, -67147/1152, 
  51/8, -373265/192, -11410079/1152, 9253063/2304, 26074801/2304, 
  56979191/2304, 213601/48, -15249869/576, 28435855/1152, -2217065/384, 
  2261419/24, 19316245/2304, -3772349/1152, -17868803/576, -281516077/1152, 
  -47791195/288, 75399185/576, 860099/384, -21653/128, -299/16, 2141485/256, 
  8029271/2304, -1719431/768, -35367721/1152, -28194637/1152, -57707999/2304, 
  20250565/96, 838639/1152, 323/32, -531963/256, 10887785/384, -1899/16, 
  -3/4, 1100503/576, 696415/288, 1507/96, -9/2, 911323/576, 859153/288, 
  19766815/2304, -20321/96, 348, 20820343/2304, -8081657/768, 36183/64, 
  -28485307/2304, -910657/576, -633, 13044955/576, 21667141/384, 8136353/384, 
  12451735/576, 12835073/384, -21996863/1152, -10546895/288, -112289305/2304, 
  19272427/2304, -10169/8, -4451045/48, -26352593/384, -34610293/288, 
  -22753337/576, 96429791/1152, -20047/8, 2905493/48, 67067969/576, 
  563945/32, -1098847/576, -2488741/576, 49315/1152, 51/8, -864697/288, 
  -11613107/1152, -7964311/2304, 4622051/2304, 19868387/2304, -214045/256, 
  -13061965/576, -99112793/1152, 460037/576, -4194919/288, 131421295/2304, 
  -11356433/576, 37785355/576, 2091605/576, -150264001/1152, -45338695/576, 
  1073591/576, 7506583/1152, -461/16, 12172573/2304, -41045309/2304, 
  -12460237/768, 14205365/576, -25850917/576, -6475915/2304, 81367883/1152, 
  -3802471/576, -1381/32, 10780831/576, 23103581/1152, 2283/32, -918451/576, 
  -591151/576, -3535/96, 15/16, -856639/576, 4682785/2304, 3697/96, -9/8, 
  12085711/2304, -768695/768, 31/64, -4979159/2304, 105/64, -1585995/64, 
  -12832501/384, -910783/576, 570465/16, 4290649/128, -888355/288, 
  -24764671/2304, 4976243/2304, 12822409/192, -1584175/64, -12831657/128, 
  3394739/288, 12814489/192, -249/8, 915463/288, 300259/288, -390991/1152, 
  -27/8, 694999/576, 3300299/1152, 8666671/2304, -4713475/768, -6721637/2304, 
  -212413/144, 15133099/288, 61532903/1152, 4041/32, -4003867/64, 
  -78494065/2304, -1594507/192, -5744321/96, 38349971/384, 20279839/192, 
  -12812881/192, -2190575/1152, -419435/128, 67/8, 21215231/2304, 
  11405551/768, 195759/256, 46332541/1152, 63513/128, -26477617/2304, 
  -66678217/576, 4299811/1152, 859/32, 1624945/2304, 20270443/1152, 123/16, 
  93/8, -2103/32, 3475/32, -7113/64, -57/32, 1037/2, -48389/128, 587/8, 
  -92239/128, -3915/32, 1019/8, -6123/32, 647/32, -1391/32, -283/8, 15, 2, 2, 
  273/16, 1099/16, -377/16, -129/4, 345/32, -4809/64, 927/64, 119/16, -505/8, 
  -3439/16, -985/8, 10955/64, 2193/8, -7605/64, -129/32, 897/32, -1611/16, 
  551/16, -1929/8, 5735/32, 4073/64, 73909/128, 17867/32, -59963/128, -63/2, 
  1387/8, 5239/16, 90663/128, 14187/64, -17207/32, 397/4, -6033/32, 
  -60247/128, -2039/32, -87/8, 1369/32, 1035/32, -15, -7003/64, -20793/64, 
  -965/16, 6875/64, -13779/64, -607/16, -21369/64, 34037/64, 7249/8, 
  49589/64, 4957/4, -16387/64, 22749/32, -35217/64, -10449/16, -23433/64, 
  -30051/128, 36915/128, 30077/64, 19059/128, 47579/128, -1443/32, 9429/32, 
  -56777/128, -16867/128, -7665/128, -10379/64, 75/2, 13, 10507/64, 2, -7/8, 
  -129/4, 23/8, 0, -19/16, -2557/64, 7/64, 71/64, -59/64, -185/16, 289/8, 
  -267/2, -1955/64, 621/2, 60835/96, -20017/64, -17/2, 1331/4, 18039/32, 
  30551/64, -48417/64, 3119/32, -5895/32, -34379/64, -1935/32, 177/32, 71/4, 
  2965/32, 129/8, -93/16, -707/64, -5629/64, -525/16, 1953/32, -3329/128, 
  13131/128, -6253/32, -1795/16, 8043/64, -13, 2783/32, -1025/16, 315/32, 
  133/32, 4409/64, 1443/8, -27499/128, 34919/128, -5697/32, -4189/32, 
  1137/32, -4581/64, -58147/128, 4403/32, -3045/32, -93/16, -149/16, 7/32, 9, 
  97/16, 19895/64, 3629/64, 213/4, -1697/32, -1089/16, 93/16, -36315/64, 
  -25059/64, -1705/64, -12537/32, -1947/8, 1533/64, 9117/16, -1341/64, 
  -1533/64, 4045/64, -37491/128, -29785/128, -64, -815/32, 2329/32, 
  -4061/128, 21471/64, 155/8, -4029/128, 12555/64, -79/4, -48, -12555/64, -2, 
  69/4, -1, -145/4, 13/8, -14069/384, -11/8, 435/128, 157/32, -831/16, -5, 
  13349/64, -25, -120329/384, 4047/32, -4231/32, 339/32, -4459/16, 11/2, 
  2469/16, -99/32, -77/16, 165/4, -755/16, -5679/64, 2527/32, -8545/128, 
  -101/64, -7599/32, 34633/64, 22511/32, 67153/96, -16331/128, 20457/32, 
  -4199/64, -59849/128, -12669/32, -901/8, 31725/128, 1701/32, 16005/32, 
  -2379/32, 29693/64, -66457/128, -461/2, -2739/8, -1647/64, -27245/128, 
  101/8, -7525/128, -113/8, -7/8, -317/32, -187/16, -15/8, 0, 9/4, 14777/192, 
  4967/96, 15/8, 19/16, -86791/384, -15361/192, -303/64, 20489/128, 139/64, 
  37/16, -189/8, 161/8, -3/16, -4705/32, -12899/192, 148, 4749/32, 88853/96, 
  -649/32, -803/32, 179/16, 3427/16, 26381/32, 4373/8, -59249/128, 553/4, 
  275/8, -111795/128, -555/4, -159/16, -937/16, -211/8, -21/8, -83/4, 
  7031/96, -2089/32, -1485/32, -25795/128, 215/64, -6455/32, -5529/64, 
  27465/32, 45289/64, 7387/6, -30409/128, 62647/64, -365/4, -149843/128, 
  -13159/16, -255/2, -17619/128, 29015/64, 3637/32, 93467/128, -1325/32, 
  82979/128, -18013/32, -45567/128, -29217/64, -2907/64, -29325/128, 453/16, 
  9129/128, -105/8, 1/4, -75/32, 35/96, 1973/576, -1/16, -29/16, -2363/192, 
  0, -1/32, -245597/1152, 1310735/2304, -249185/4608, -502043/2304, 0, 
  -116141/576, 5/16, 9/4, -1/4, 4015/1152, -2063/288, -2267/288, -1027/384, 
  -76159/1728, -5123/128, 2267/288, -76279/1152, -61391/3456, 54359/1152, 
  2441/36, 3151/54, 4/3, 1/8, -1747/1152, 1529/192, 1973/576, 29473/1152, 
  66799/2304, -533/384, 2029/864, -33313/768, -66841/3456, 1/8, -41/128, 
  -2363/192, -14681/576, -4543/192, 28099/2304, 0, -1/32, 157/64, 137513/768, 
  703477/1536, -10684825/13824, 164269/13824, -1450889/1536, -1697513/4608, 
  2573599/4608, 4319189/4608, 2743805/4608, 308345/1728, 1287925/4608, 
  -966883/13824, -581677/6912, 742061/1536, -9989225/13824, -1754365/2304, 
  -1188479/4608, -10679/864, -13051/128, -15787/2304, 1/4, -4553/1152, 
  -7037/288, -49/48, -5/16, -26047/1728, 4529/384, 49/48, 15/8, -19007/3456, 
  14561/1152, -7/2, 10595/432, 27/16, -5059/1152, -3197/192, 1973/576, 
  -1421/288, -24197/2304, 2973/128, 57749/1728, -2501/768, -5401/216, 1/8, 
  -49/128, -2363/192, -6265/288, -4531/192, 24031/2304, 0, -1/32, 157/64, 
  -107/6, -52607/1152, -167327/384, 428323/2304, 1421/36, -256463/288, 
  371365/576, 146915/3456, 1068373/6912, 12115/6912, 6115/192, 277315/288, 
  -1488697/1536, -81763/576, -4726081/4608, 702589/4608, 124653/256, 
  4318901/4608, 879391/2304, 308345/1728, -66791/3456, -568691/576, 
  125441/1152, -1411553/3456, -12039475/13824, -428777/6912, -489689/2304, 
  4305379/4608, 5358703/13824, -2515571/4608, 1277729/3456, -137863/288, 
  70873/6912, -1844351/2304, -21023/512, -128645/9216, 17509/288, -6205/1728, 
  496745/6912, 74743/1728, 390545/27648, -42611/2304, -536015/4608, 1/8, 
  -1798727/4608, -444965/864, -891313/1152, -50651/3456, 51029/128, -3/16, 
  9235559/9216, 31032941/27648, -1756393/27648, -1756393/27648, 9/2, 57/4, 
  -128645/9216, 1, 73/12, -40739/1536, 2547193/9216, -13/8, -1039589/3456, 
  113099/27648, 5/8, 2155199/6912, -33/16, -1/8, -3, -536015/4608, -47/16, 
  -4471/768, -291155/256, 20935/1728, -2027089/4608, -254701/864, 0, 
  51029/128, 129/32, 12024553/9216, 3341237/6912, -1756393/27648, 
  -541339/4608, -1, 37/48, 185687/4608, -692755/3072, 27551/3456, 361969/576, 
  6892589/9216, 1278139/3456, 5401487/27648, -4125631/27648, -10, -3847/768, 
  3878827/4608, -7198207/6912, -155567/192, 2447389/4608, -135/32, 
  -2686141/4608, 3486509/3072, 1491641/27648, -13075/864, -821653/2304, 
  141685/1536, -3229493/4608, -2167207/4608, 609389/1728, 3556043/6912, 
  233711/512, -478141/4608, -1142549/2304, 5164363/13824, -49231/384, 
  -4045007/13824, -496255/3456, 228065/3072, -1/4, -39/32, 1625/1152, 
  4063/288, 0, -17/16, 19249/1152, -3163/864, -4063/288, 0, -110215/3456, 
  7777/3456, 3, 7085/432, -27/16, 1/4, 411/32, 2441/192, 4087/576, 3/8, 
  857/24, 2907/128, 269/96, -197803/3456, -2435/108, 0, -99/32, -1765/192, 
  -135/16, -15457/288, -8495/768, -17/32, 81/16, 8779/768, 10981/1152, 
  513251/2304, -153661/9216, -4703/192, 104603/512, -749681/9216, -5225/384, 
  -142521/1024, -13333/864, -849/256, -297137/576, 5237/256, -200807/4608, 
  185405/768, 1298329/4608, -223957/1536, -543/64, 876551/9216, 2304137/9216, 
  -71033/3456, 2229047/4608, 392825/4608, 226921/768, -51083/1152, 
  1100471/27648, 2837351/13824, -372811/2304, -1419553/2304, -24119/192, 
  -808159/3456, 34471/128, 1542107/27648, 419177/1728, -871895/9216, -87/32, 
  -491/64, -49/12, 763/128, -3/8, 0, -737/32, 5555/128, -2069/96, -5959/128, 
  1589/128, -1501/96, -9/32, 2029/96, -6767/288, -1687/72, -39/64, -2733/64, 
  -1537/144, -965/96, -11/96, -15/16, -47/16, -4087/128, 13973/768, 
  51137/576, -101/16, 27881/384, 236161/2304, 737/96, 355/32, 15/16, 287/32, 
  28691/768, -40927/768, -2097/128, -71221/768, -527/48, -193/32, -3087/256, 
  349/384, 0, -1009/256, -835/16, -14431/384, -1213/96, 3503/192, 4239/128, 
  4125/128, 1927/384, 19345/384, -4469/384, -4055/256, -9601/96, -3239/48, 
  53797/768, 5663/384, 983/128, -15649/384, -47/3, -1459/32, -27/16, -1/8, 2, 
  -443/48, -75/64, -43/32, -127/12, -11/2, -985/64, 13729/192, -123/8, 
  2301/32, 179/12, 11/2, 2141/64, -36311/768, 991/64, -1177/16, -13/3, 
  -193/16, -3839/256, 3, 0, 467/32, -519/8, -3/2, 705/32, 857/8, -7, 585/64, 
  -9/32, 2105/64, -2285/128, -47/64, 2291/96, 5091/128, -8019/512, -4243/64, 
  -1469/192, -463/32, 587/8, -157/2, -1043/64, -1125/8, 301/12, 191/4, 
  -147/8, -4739/32, 31397/512, -21/2, 110, 731/32, 1445/12, -997/48, -875/96, 
  -9/4, -949/96, -1019/256, -527/512, 2011/192, -14477/1536, -4617/256, 9/4, 
  -126197/6144, 12137/256, 8179/6144, -1429/48, -2707/1024, 1/16, -111/64, 
  -41749/1024, 299/128, 349/128, 13/4, 2149/128, 16867/768, -875/96, 
  -1561/256, -2369/256, -30035/768, -109/48, -13027/1536, -11365/768, -49/16, 
  -20093/768, -15/8, -1/8, 479/32, 27577/2048, 45/64, -1563/128, 65/8, 
  135/32, -339/1024, -8855/1024, -9/2, -625/128, -13/4, -2179/64, 4039/384, 
  1831/96, 5877/256, -1289/128, 16091/256, -259/6, 20947/768, 2711/256, 
  49/16, 43393/768, -45679/2048, -3505/128, -1127/24, 5957/64, -135/32, 
  201/512, 2991/1024, 625/128, 2209/128, -72061/768, -29173/1536, 12495/256, 
  -85031/768, -5179/1536, -7361/192, 281045/3072, 383093/6144, -2111/1024, 
  11779/192, -9443/768, 1193/768, -498397/6144, 10921/512, -33/32, 47/96, 
  -3187/288, 1687/72, 319/64, -1887/64, 2915/72, 935/96, 3743/96, -29/16, 
  45/16, 561/128, -11971/768, -25127/576, 103/64, -571/192, -149371/2304, 
  -1331/96, -4501/64, 29/16, -283/32, -123/32, 671/24, 531/32, 43841/1536, 
  6017/192, 193/32, -497/64, -2149/512, 0, 673/256, -1245/128, 13021/768, 
  27/16, -5321/768, 11513/256, -3007/256, 887/96, -55007/1536, -12319/768, 
  -18, -1249/1024, -277/32, 11485/256, 26811/2048, 19/768, 657/32, 697/64, 
  -24225/1024, -887/128, 13209/256, -17191/768, -19/2, -3317/384, 5087/64, 
  2407/1536, -58499/1024, 143299/6144, 30313/2048, 10843/1024, 25309/384, 
  32075/1536, -23153/768, -361979/6144, 11543/512, 243/32, 0, 177/64, 
  -34333/128, 243/32, 0, -33561/128, 33847/64, -243/16, 82853/128, 
  -33361/128, -24823/64, -243/32, -243/16, 0, 3369/16, 35005/128, 81/32, 
  -57555/128, -31765/128, 7469/64, 243/32, 0, -40089/64, 3/16, 29025/32, 0, 
  6609/16, 81/32, 103903/128, 96303/128, -102607/128, -100515/128, -81/8, 
  -81/64, -243/32, 0, -1543, -101163/128, 93991/128, 81/64, 81/16, 93763/128, 
  0, -227/32, 973/32, -211/16, 85/8, -859/32, -113/32, 0, 0, 0, 21/32, 0, 0, 
  9/4, 9/2, 0, 0, 9/2, 0, 0, 0, -27/4, 0, -141/8, 0, 0, 231/16, 0, 0, 0, 0, 
  0, 0, 0, 21/32, 145/32, 69/4, 2875/32, -2017/64, -9313/64, 9/4, -22291/384, 
  3/4, 1, 31/4, 9/4, -145/32, -209/8, 9/2, 1969/64, 9657/64, 22003/384, 27/4, 
  0, 71/8, -8635/32, -43/8, 0, 351/2, 53/16, 77/16, -87/16, -7/4, -21/64, 
  -21/16, -68815/64, -101459/128, -195/32, -7/8, 533653/384, 101703/128, 
  -349/128, -9059/48, 425/128, -361/16, -375/32, -49/16, 285/64, 136161/64, 
  567343/128, 36007/32, -188255/96, -1206101/384, 10217/48, 589/16, 577/32, 
  33/8, -241705/64, -95197/32, 905117/384, -1715/96, -17/16, 59287/32, 
  -91/32, -93/16, 121/4, 613/32, -13/64, 67695/64, 34475/32, 102479/128, 
  -109237/384, 35865/128, -26007/64, -69/4, -6061/64, -357/16, -219317/128, 
  -17419/16, 20261/48, 419/64, 173/8, 107411/128, 1435/96, -699/32, -7/2, 
  53/4, -43525/128, -106243/128, -329/32, 31/64, -2105/32, 37957/128, 625/32, 
  -283/16, -411/16, -677/32, 959/32, 181/16, -1/3, 5/6, -1/2, 0, 0, 1/4, 
  15/4, -191/64, 9/2, 0, 183/32, -65/32, -617/32, -135/64, -37/64, -259/64, 
  23/64, 11/8, -1/4, 851/192, -865/128, 2171/64, 85/128, 1547/384, 119/96, 
  5/64, -1699/384, 515/64, -673/384, -143/48, -65/128, 1171/384, 283/192, 
  283/384, -1/4, -31/8, 89/8, -1407/64, -45/16, 263/192, 1007/128, -547/64, 
  8, 21/64, 377/64, -3463/192, 19/24, -557/384, -1715/96, 4357/128, -75/128, 
  -2333/384, 859/64, -35/192, -335/48, 239/192, 1231/384, -271/384, -283/384, 
  1/8, -741/64, 117/16, -121/16, -4073/384, 4587/128, 17/32, -45/32, 1771/48, 
  4057/192, 3331/384, -1793/32, 47/32, -5809/192, -685/192, -3/16, 49/16, 
  831/64, 119/8, -3137/128, 465/32, -93/8, -1471/64, 3577/128, 137/16, -13/8, 
  -9/4, 13/8, -71/32, -247/16, -145/8, 63/32, -193/16, -63/32, 27/2, 145/8, 
  -5/2, 247/16, 67/32, 71/32, -33/32, 947/64, 197/32, -83/16, -139/64, 
  3559/32, 391/16, -1931/32, 313/16, -5019/16, -3131/48, 18345/64, -647/16, 
  219/32, 141/8, -2931/16, -247/64, -101/2, 1025/192, 25543/128, 1627/64, 
  211/48, 2559/32, 4603/256, -4841/128, -403/96, -339/16, 63/32, 145/8, 
  -35/16, 693/32, 23/2, 63/64, -109/2, -89/4, -1243/64, -709/256, -12483/512, 
  -13059/1024, 63/64, 5/4, 63/128, 567/64, -7/128, 63/128, 501/16, 63/256, 
  -6, 63/256, -11/16, 367/64, 703/32, 149/8, -139/64, 35/3, -491/64, 235/32, 
  101/8, -457/48, 167/64, 557/32, 493/96, 609/64, -313/64, 13/32, -349/32, 
  47/32, 141/8, -6547/96, -271/128, -615/64, -5623/192, -3353/384, 567/4, 
  -53/64, 4405/192, 211/48, 2571/32, 15617/768, -255/64, 235/192, -403/96, 
  -3439/192, 5/24, -3/4, 13/24, 1/2, 71/128, 247/64, -49/16, 63/64, -511/32, 
  461/32, -263/16, 1323/128, 3669/64, 183/16, -1231/256, -1185/128, -165/8, 
  2979/128, 2029/64, 8325/512, -2527/768, 243/64, -37193/3072, 3/8, -3/8, 
  -3/8, -751/32, -441/128, 4635/128, -345/32, -63/16, 2689/192, -2493/64, 
  65/128, 0, 189/16, 991/256, 1/2, -77/8, -9/8, -39/256, 21/128, 8879/256, 
  35, -3/256, -3/256, -1135/256, -265/64, 3/128, -9/2, 11/128, 73/64, 
  -2139/64, -263/4, 39/256, 3/128, 723/128, 2095/256, 3/256, -9/256, 3/128, 
  1, -459/256, -971/256, 2315/64, 221/4, 3/256, 551/256, -3/128, -265/64, 
  -1131/128, 3/256, -3/128, 551/256, 27/4, 1483/256, -5067/256, -38, 39/256, 
  1739/256, -3, 63/4, -2, -9/4, -375/512, -465/32, 15571/256, 1/4, 
  -75535/512, -51, 45/512, -1405/512, -136797/512, 183/32, -10437/256, 3/128, 
  15/32, 289/256, 123787/768, -140755/768, 19893/512, 135305/512, 65305/768, 
  56323/128, -58629/512, -165751/512, -139/512, -9/8, -1, 403/64, 861/32, 
  -15/8, -9/256, 11525/384, -16549/512, -124291/768, -37741/768, 142981/768, 
  -7/512, -965/512, 4275/256, 19/4, 1/16, 48945/512, -5165/512, 1/8, 
  -7421/768, -287/16, -1189/64, -29/16, -57861/512, 145/128, 57/32, -19/32, 
  -9/8, -9/32, -97/256, -122395/768, 140755/768, -1/16, -19/32, -9/8, 
  -12453/512, -41585/128, 35923/1536, -1/16, -111889/256, 98575/256, 
  186601/512, -111/64, 31/8, 5795/64, -205/96, 67526279/72480, 1031/384, 
  1893987/48320, 3271/192, 2657/64, 603/16, 123/16, -261/8, -3833/16, 
  -8441/384, -185296301/144960, 39085/384, 5561/32, -3671/128, -385/16, 
  4479/64, 19197/128, 25765/128, 100626989/144960, -26945/128, 2165/192, 
  -3251/384, 13927/384, -121307/384, 155/48, -23321/384, 3/4, 447/8, 
  518007/12080, -6741/128, 526012919/579840, -3739/96, 189003701/579840, 
  -262520125/231936, -189071/768, 131945527/579840, 10105/64, 
  -27223727/19328, -136232539/144960, 3823/96, 24609953/28992, 
  1196978521/579840, -16147/192, -3121/96, -126399179/231936, -1724041/36240, 
  -155950901/193280, 135/8, 138320387/1159680, -9/4, 1/4, -45/4, 
  883389/48320, 113/8, 15/64, 1/2, -365/48, -55181/9060, 11516417/57984, 
  7027/64, -83/48, -2944153/96640, 29781137/96640, 61854719/72480, 13/48, 
  3693599/289920, 2508557/48320, 1709/96, 2723/64, 823/16, -5/64, 1799/64, 
  31/64, -381/32, -13/32, -41/48, -2415199/12080, -206, 329/192, 
  2480021/72480, -117551827/144960, 2317/384, -1301/32, -2207/64, 65/128, 
  -2549/128, 55/8, 35/32, -467/16, 3951/64, -635/128, -1657/192, -177/64, 
  -283/384, 661/192, -761/384, 617/48, 1165/384, -55/16, 283/384, -1/4, 
  3921467/36240, -56234373/193280, -778927/96640, -115/2, 55/64, 
  30936599/579840, -161866007/193280, -204035709/96640, 2879/384, 
  -175573/480, -534633133/289920, -2587/64, -8958661/144960, -1515/16, 21/64, 
  -3337/64, 1028789/48320, 18725/96, -28964041/289920, -153491981/579840, 
  124193927/193280, -4809509/289920, 212987937/193280, 18769/384, -75/128, 
  -56241323/289920, -40175/192, -1745/192, 368514541/289920, 23664751/193280, 
  239/192, 13133/384, 18429001/96640, -139/384, -3513767/36240, 
  215989763/579840, 49401871/57984, 27327615/19328, -1167379/72480, 
  194775869/1159680, 2069162837/579840, 3641/128, 278324101/289920, 7573/96, 
  5847469/72480, -64593469/579840, -84976843/579840, 1391847/9664, 
  -105549419/144960, -823/32, 30488719/144960, -333007991/289920, 
  -16259743/57984, -28201069/144960, -2970167/36240, -106718369/144960, 
  -1198283161/579840, 13399/384, -177683113/115968, -5269/96, -1637971/18120, 
  -102017539/579840, -3895/384, 83548837/579840, -3/2, 156385781/193280, 
  99/4, -1, -27/8, -35/16, -605/32, -913/32, -1217/64, 39/16, -27/8, 
  -35381/64, -178077/128, -39833/64, -193/8, 13/32, 106517/384, 100595/192, 
  -423/16, -309/128, 83/16, 117/32, 33/64, -1175/128, -15/4, 175/16, 1073/32, 
  67/32, -333/32, 1031/32, 126915/128, 144749/128, 2041/32, 2817/128, 
  -46679/192, -8309/192, -3049/32, -77663/384, 205/32, -1101/32, -1117/32, 
  1167/64, -4409/64, -119875/256, -9415/128, -12921/64, -23231/96, 19643/96, 
  1321/32, -89/64, 415/64, -8615/384, 20283/64, -71/8, 1415/24, -5/4, 
  -1972877/24160, -907/8, 169/64, -145197551/193280, -203624989/96640, 
  1271/384, -506707399/579840, -546121213/289920, -2575/64, -20189/192, 
  -483/128, 281/64, 18479/96, 13812713/289920, 821374357/289920, 
  -7276531/579840, 31710167/289920, 33905/384, -1007/128, -5915/16, 2785/192, 
  -93728933/96640, 4930397/4530, 1463/192, 113935/256, -38534159/115968, 
  -62131/384, 3540947/72480, 44693993/48320, 27275671/9664, -30743759/579840, 
  -18868993/386560, 2052456197/579840, 4225/128, 182321953/96640, 19/16, 
  -1511131/36240, -606264101/289920, 2451023/38656, -309666123/386560, 
  -25396361/28992, -30447949/289920, 310430843/579840, 8932015/115968, 
  28010809/289920, 1841821/36240, -112865501/115968, -1197630841/289920, 
  5971/384, -56822375/38656, 0, 95177/4530, 5370313/1159680, 
  126547159/231936, -65827477/1159680, 1705921/36240, 156168341/96640, 
  -137160707/1159680, 9/8, 3/2, -35/4, -49/4, -481/32, 39/16, 41/48, 
  -17241/16, -41777/64, -95/4, -629/96, 99941/192, -635/16, 713/192, -61/32, 
  -1463/128, -9/16, 165/32, 869/32, 231/16, -333/32, -1/24, 55727/96, 
  144487/128, 1717/32, 749/96, -69977/384, -3629/192, -271/384, -77339/384, 
  851/32, 159/32, -2331/64, -7415/192, 1167/64, -3263/96, -13307/32, 
  -8239/128, -8655/128, -24377/96, 77081/384, -411/64, 3887/96, -89/64, 
  857/64, -5207/384, 41475/128, 365/192, -71/8, 6107/96, -3/2, 73/8, 
  1157617/96640, -375359/48320, -3643/32, 119/48, 51677/48, 64847559/96640, 
  -198152749/96640, 7/48, -5807157/12080, -566071333/289920, -49/32, 
  -15893/192, 13/16, -567/8, -27073/384, 4421/24, -45752551/72480, 
  -1066719919/579840, 829972297/289920, 171598049/289920, 278141503/289920, 
  3425/48, -4419/64, 34387/96, -67193/192, 2063867/14496, -305728829/289920, 
  83891613/96640, -30721/384, 112991/256, -37985123/115968, -58337/384, 
  -111/16, 6894383/57984, -601551/1510, 27313723/9664, 25/16, -1789153/57984, 
  686334519/193280, 541/32, 558583799/289920, -61/16, 1681600973/1159680, 
  -212539247/96640, 622742107/773120, -809912707/231936, -785368397/579840, 
  460340623/579840, -130517/289920, 11258663/96640, -964323/6040, 
  5715589/9060, -1199823361/289920, -717091/193280, -165519157/115968, 
  107/24, -368597047/386560, 2416256711/1159680, 677135599/579840, 
  1369841/7680, -3479037/24160, 156627381/96640, -203/96, -191584249/579840, 
  -9/8, -13621/36, -10167/32, 649339/1152, -715/4, -19081/256, -106521/256, 
  -1/4, 45405505/2304, -30453/32, -101843/64, -15853697/768, 7937495/2304, 
  3/4, -17119991/576, -60865/32, -1134199/32, 96149197/2304, -1/2, 
  8948293/288, 487645/64, 29785249/1152, 307385/8, 3018993/64, 0, 
  2501933/4608, -1092871/576, -3029407/4608, 523961/192, -5504501/1152, 
  8956763/1152, -4074533/768, -3036683/256, -7404785/4608, 15381791/4608, 
  1/8, -24238675/768, -7909037/288, -71904029/2304, 113792761/1152, 
  1910781/128, -341720653/2304, -4194505/576, 14582701/288, -1/4, 
  61385227/1152, 757505/72, 128441551/1152, -3315095/64, 200189387/2304, 
  12603379/128, -59/2, -18700627/144, -3797381/64, -142366043/576, 
  -44589797/1152, 723/8, 73898795/576, 39630235/192, -249/4, -5053/16, 
  20499/32, -178397/1152, -231079/576, 2501933/4608, 364315/576, 398879/576, 
  398249/1152, -919381/1152, 9791587/2304, -1540873/512, -2168977/576, 
  -7505125/1536, -188621/4608, 932861/2304, 0, -39989/9, 181783/144, 
  3595265/384, -24238675/768, 911539/576, 2443853/192, 2035987/128, 
  -3613517/384, -296011/576, -41927249/1152, -980819/384, -9302959/2304, 
  30097091/4608, 13442809/4608, -19/8, -508211/9, -34162919/576, 
  61385227/1152, 4782923/192, 30444077/576, 146150929/1152, -72122081/1152, 
  117560951/2304, 30234697/768, 55/8, 5429699/96, -18700627/144, 
  -21663799/576, -22381219/96, -5149309/1152, 201/8, 73898795/576, 
  4851169/36, -249/4, 5029/16, -352195/288, -29987473/2304, 86991617/4608, 
  -24733537/4608, 1279801/288, -6304295/128, 37569823/192, -329793905/1536, 
  34363729/576, 13015909/288, -18570799/64, -3196235/576, -58589617/192, 
  -196536355/576, -10203/16, -1060691/192, 98159303/4608, -9471875/512, 
  -4765301/1152, -4326807/128, 356927413/1152, 10085225/96, 651702473/2304, 
  2796193/8, 182357/1152, -1136569/192, 33753073/2304, -15281711/1152, 
  -162700253/768, -150248287/1152, 233923/576, 32094901/4608, 8106681/128, 
  -2505245/2304, 1/2, -107/48, 2, 1121/32, -3491/96, 17/16, -21/32, 107/48, 
  -35/48, -989/16, -4841/64, 75/64, -245/24, 34181/192, -19873/128, -239/96, 
  8273/192, -35181/128, 283/192, -2589/64, 253/96, 1161/64, -1585/24, 
  4513/64, -635/32, 475/4, -5451/16, 43037/384, 43547/384, -82025/192, 
  185123/192, -120613/384, 181769/384, -225209/384, -64331/384, 617/8, 
  -18825/128, 20971/384, 1657/48, -32583/128, 141409/256, -186191/768, 
  58177/256, -11697/32, -12755/256, -21173/768, -4269/256, -1079/96, 
  -50443/384, 43107/256, 119755/768, -8659/128, -9/8, 7987/128, -9/4, 
  4227/128, -15/8, 1/2, -3531/256, 1577/192, -83/48, -37505/384, -3973/768, 
  13/48, -2435/96, -42637/768, 3389/96, -8923/256, -297/16, 1411/32, 65/16, 
  -5/32, 12929/128, -5111/96, 383/32, 101581/512, 2765/24, -2725/48, 
  -192637/1536, 499/8, -1193/48, -461/96, 65/64, -14423/512, -34381/384, 
  -1483/192, -376025/1536, 5883/32, -149/192, 31/16, -283/192, 48137/768, 
  1877/64, -1085/192, -13249/192, -1331/48, -679/96, 166069/768, 14231/64, 
  6469/192, 83447/768, 111673/768, -1349/16, 68549/384, 1859/32, -182147/384, 
  -9961/16, 2179/192, -836843/768, -1232123/768, -15631/192, -323759/1536, 
  -15533/384, -5099/64, 557689/768, -361/64, 2627111/1536, 16679/64, 
  18011/192, -4873/128, -58429/256, -96281/256, 325/8, -106337/256, 
  -1065865/1536, 5937/128, -92333/512, -3475/48, 341/64, 58253/768, 
  551033/512, 3093/16, 2014727/1536, 36881/256, -2215/128, -45013/384, 
  -69367/256, 1533/128, 4215/64, 394901/1536, 240959/768, 68681/768, 
  149495/1536, 3227/96, -21849/256, -450719/1536, -169931/768, 5373/256, 
  -12283/128, 1113/32, -27/4, 12747/128, 27/8, -13/32, 1785/128, 607/32, 
  389/64, -5/12, -28907/384, -18019/768, 127/64, 12631/768, 94781/768, 
  3451/768, 35/2, 13697/384, -47677/768, -35/2, -13131/256, -879/64, 
  1867/128, -1499/128, 15/16, -90733/768, 57391/768, -565/24, 361/32, 
  141449/512, 3823/64, -2675/32, -111517/1536, 75/64, -241/64, 10025/192, 
  125/32, -131/32, 156345/512, -35323/384, 5653/32, -185209/1536, 1755/128, 
  5563/192, -295/96, 1111/32, 84797/768, -31939/128, 2249/192, -613/16, 
  235/48, -3959/128, -9693/128, -8559/64, -243/16, 189/32, 32873/256, 
  24125/96, 12605/64, -733/192, 13305/256, 72761/768, 257/64, 75041/384, 0, 
  7091/64, -4089/256, 133345/768, -19263/32, -5329/16, -242767/384, 
  -1198859/768, 7199/384, -204695/1536, 3695/64, -20155/48, -38723/768, 
  554573/768, 90689/96, 2589671/1536, -8503/128, 181139/384, 1529/12, 
  -57773/96, -64325/384, 5011/64, -37211/512, 32275/512, -88377/256, 
  -8835/128, -105025/768, -302611/512, 5953/64, -266215/1536, 0, -36439/128, 
  -39569/1536, 518305/512, 162825/256, 1838743/1536, -5771/64, 68327/256, 
  -6601/384, -144451/256, -15493/256, -12853/768, 33075/512, 69045/256, 
  39641/384, 68237/512, 0, -94393/768, -91661/512, -30233/384, 53047/384, 
  -11111/64, 825/32, 10815/64, -9/8, -11/16, -3, 2549/128, 557/64, 623/96, 
  11135/384, -22921/768, -41/64, -851/24, 8789/256, 7627/768, 19811/256, 
  -46333/768, -12219/256, -73/16, -2807/128, -2115/128, 15/16, -1/16, 
  -2825/64, 112147/768, -77/3, 17/8, 62607/512, 1997/64, -385/16, 
  -104689/1536, -813/64, 33/8, 10301/192, 125/32, -105/16, 165749/512, 
  -42163/384, 2227/32, -199525/1536, 645/32, 6889/192, -295/96, 653/32, 
  80981/768, -2035/8, 2249/192, -1447/32, 15/8, 139/48, -6073/192, -7367/384, 
  -213/16, -151/48, 17041/384, 2221/24, 30859/192, 65/48, -53535/256, 
  103225/768, -4561/192, 66701/384, -17, 89/48, 101635/384, 461101/768, 
  -19263/32, 993/16, -2677/96, -1179899/768, -5095/48, -108661/512, 6739/64, 
  -22771/192, -380713/768, 556277/768, 55243/192, 854269/512, -709/64, 
  9045/32, 12055/96, -76601/128, -68459/384, 1279/96, 36863/384, 521269/1536, 
  -258523/768, -2953/192, 365603/1536, -959929/1536, -839/32, -123805/512, 
  87/4, 3253/96, -374107/512, 503761/512, 7811/384, 1985863/1536, -127, 
  9783/128, -9491/384, -173003/256, -57175/768, 1231/64, -64471/384, 
  78885/256, 1495/64, 94957/512, -57/8, -41843/768, -384959/1536, -15463/128, 
  60601/384, -6551/192, -2209/96, 49/4, 8825/48, -63/8, 0, 0, 0, 9/8, 
  -4877/768, 64243/6912, -477/256, -817/576, -9/32, -141983/3072, 190001/576, 
  -365189/1152, 43543/1536, 13213/4608, -334787/768, 56177/27648, 
  845987/2304, 342059/512, -1012609/27648, 106987/3072, -3156893/9216, 
  -4182137/6912, -2595781/9216, 247961/4608, 898691/1152, 7133135/27648, 
  -35669/144, -12046817/9216, 1020385/27648, -2692363/9216, 31166773/27648, 
  658661/1024, -116231/384, -650283/1024, 1967609/3072, -471541/3072, 
  -7799633/13824, 10111357/27648, 1204747/6912, -15/8, -51/16, 1/16, 3/8, 0, 
  1/32, 5/16, -13/32, -5/4, -133/32, 189/16, 3/8, 1/4, -3943/1152, 205/576, 
  1973/576, 1717/1536, 173401/13824, 36071/1152, -1973/576, 86269/4608, 
  139129/4608, -36481/1152, -23347/1152, -33967/864, 17/96, -1/8, 6259/1152, 
  -175/64, -1973/576, -1/8, -3733/1152, -45635/2304, -11707/1152, -85/1536, 
  -72647/4608, 68575/4608, -21487/1152, 13141/3456, -85123/13824, -1/8, 
  63/64, 2363/192, 1/8, 53365/4608, 14035/512, 1411/192, -4429/2304, 
  -7643/1728, 0, 1/32, 0, -157/128, -2537/512, 15/8, 1009/256, 581/4608, 
  72119/576, 301807/6144, -29523917/55296, 4784983/13824, -8447471/27648, 
  -95767/3072, -5797/768, -17877/512, -240571/768, 525203/3072, 
  2994269/13824, -1341071/55296, 22733687/55296, 2983/96, -730193/9216, 
  -6790/9, -3880949/3072, -3051985/4608, 80977/6912, 8235293/55296, 
  9090211/55296, -64135/1728, 3383/1536, 909773/13824, 8602183/27648, 
  -2940203/18432, 53430053/55296, 17605817/27648, 2873879/9216, 2993/96, 
  1076477/6912, -3993181/6912, 43235/3456, -4131149/6912, 660791/9216, 
  2527475/18432, -6633095/18432, -968705/9216, -56245/4608, -9851203/27648, 
  2964533/6144, -1001441/3072, -11026243/18432, 9154421/13824, 
  20413175/55296, -998011/18432, -4494787/6912, -469595/3456, 
  -13826935/55296, 14127607/55296, 422831/3456, -9/8, -235/1152, 5287/576, 0, 
  3/4, 15293/1728, 751/144, 0, -7/8, 15845/1152, -8291/576, 1/8, -9677/432, 
  7915/1152, 919/96, -1973/576, 1/8, 20261/4608, -31939/4608, -7313/384, 
  9/16, -1783/96, 7463/576, 25/16, 17671/864, -27/16, -1/8, 65/64, 2363/192, 
  33925/4608, 23153/1536, -4043/1536, -49315/2304, -30691/13824, 0, 1/32, 
  -161/128, -1953/512, 11/8, 7719/512, 26585/2304, 356597/3072, 301807/6144, 
  43/32, -1017011/27648, 15296539/27648, -18210643/27648, -125/48, 
  3212599/6912, -2214043/27648, 421/24, -98381/216, -263/16, -4501/768, 
  -1105/32, -8021/256, 1544041/9216, -24181/1536, -106483/9216, 2769397/6912, 
  -257429/27648, -1715189/55296, 11284351/27648, 5675/192, -1875683/3072, 
  -427471/576, -61429/4608, -1855691/2304, -100769/9216, 611135/9216, 
  8237021/55296, 359089/1536, -64135/1728, -18293/1536, 237479/27648, 
  1578895/9216, -1309621/9216, 241787/9216, -3559417/3072, 10105487/13824, 
  -15826579/27648, 2431369/6912, 1033187/6144, 17741/384, 14982989/27648, 
  -1689887/3456, 39797425/27648, -3199003/13824, -30653077/55296, 
  365315/1536, -1925237/18432, -854795/512, -9712295/55296, 38989/27648, 
  -1253581/27648, 1532165/4608, 22353809/27648, 11037709/55296, 
  -2512091/9216, -1468507/1728, 23622929/55296, -7368277/27648, 319261/55296, 
  -11463947/27648, -4467589/13824, -529529/18432, 5309761/18432, 
  1173643/13824, -1/32, 75/128, -3/8, -79/64, -473/128, 0, 1283/1536, 0, 
  23/64, -1165/128, 12179/256, -15223/768, -2893/128, 11647/512, 41675/768, 
  -243497/6144, 10337/768, 6523/6144, 231/64, 965/128, 17/4, -3511/128, 
  -15639/256, 86197/768, -2159/24, 667957/6144, -238381/3072, -379/16, 
  275/16, -1839/32, -2335/384, -40531/256, -103/4, -189/4, 1/64, -87/256, 
  45/256, -547/16, 79/128, 29/16, 5/2, -1283/3072, 0, -1/16, 0, 7/8, -27/8, 
  -1, 7/16, -99/32, -9/8, -985/96, 1535/288, 5419/288, 107/128, 733/128, 
  24607/576, 443/96, 1729/384, 13759/384, -2665/192, 157/24, -923/96, -1/64, 
  -203/256, 2059/256, -325/12, 823/256, 4715/768, -145825/2304, -125/4, 
  1805/256, -7647/128, -24437/1152, -61/24, 217/16, -77/128, 1775/3072, 
  -899/1024, -2831/256, -8779/1024, 83927/3072, 7009/768, 87229/2304, 
  -379/96, 3179/3072, 0, 251/32, -701/1024, -2125/768, -1283/3072, 0, 
  341/256, 0, 1465/192, 475/24, 12277/192, 1295/192, -30599/256, 1247/192, 
  14583/256, -907/32, -4581/512, 3687/512, -197501/3072, -335899/3072, 
  79403/1536, 145363/1536, -23949/2048, -44009/1024, 550021/12288, 
  187493/12288, 244183/6144, 120053/3072, -81375/2048, -166065/4096, 
  -1099/6144, -4617/256, -139/16, 44305/1536, 23739/256, 267253/1536, 
  947105/3072, 13381/1024, -9259/256, -322749/4096, -64003/3072, 
  -304613/6144, -2362913/12288, -1172225/12288, -2447/32, 79355/1024, 
  1846241/12288, -9099/64, -74005/1024, 21599/128, -687629/3072, 39321/512, 
  -84739/1536, -251635/4096, -760519/12288, 306187/1536, -22961/192, 
  25989/1024, -28101/1024, 23447/192, 21/8, 1/16, -1, 443/96, 83/128, -21/64, 
  443/96, 2257/384, 43/64, 127/24, 171/64, 1491/256, -2377/96, 2685/256, 
  -4237/128, -235/8, 4525/768, -6297/256, -379/48, 1/64, -1535/256, 
  -1987/1024, -759/256, -1561/128, 70103/3072, -1829/256, 6413/256, 125/48, 
  79/128, 0, 251/32, 1987/1024, -9/8, -1283/3072, 0, 231/128, -403/32, -3/8, 
  -7007/768, 1109/16, 551/96, -11911/768, -5723/64, 391/24, -201/32, 
  2479/256, -478799/12288, -3397/512, 431/192, 12217/1024, -788717/12288, 
  -17075/384, 27221/512, 531/64, 7561/256, -530593/12288, -149051/3072, 
  -15017/512, 940123/12288, 49943/768, 221417/6144, -225821/6144, -7825/256, 
  16085/6144, -239/128, 387/32, -245/16, -8395/768, -1115/32, 6617/96, 
  -13807/768, 1639/64, -21/8, 793/64, -104753/6144, -36337/768, 62527/1024, 
  2414941/12288, -293125/1536, 1337189/12288, -1113289/12288, -962221/12288, 
  278537/2048, 3/2, 151/8, 2047/64, -2131/96, -263/32, 1928753/12288, 
  -177137/1536, -226865/768, 3267109/12288, -749/96, 103/8, 63563/256, -4, 
  53/16, -125/16, 0, -1, 61/24, -437/48, 499/24, 0, 5/3, 37/3, 1/4, -623/48, 
  -7/12, -149/8, 133/24, 95/48, 31/4, -33/16, 1/2, 235/32, -147/32, 103/16, 
  0, -595/192, 55/384, -20705/384, -2165/192, 2407/384, 21521/384, 25549/384, 
  2639/48, -5875/96, -7739/128, -21/32, -1387/192, -239/96, 11/8, -229/192, 
  -9085/384, 22925/384, 28969/768, -97/2, -72581/768, 75/64, 439/64, 119/96, 
  2417/24, 401/16, -98167/768, -239/96, -143/48, -9149/96, 283/192, 4, 
  -183/16, 691/32, 45/16, -121/24, -253/8, -755/24, -45/16, -289/12, 403/8, 
  947/96, 85/2, -117/16, -139/8, -261/32, 443/24, -2251/96, -45/16, 375/32, 
  325/24, 1243/96, 1765/192, -113/6, 89/48, 3865/96, 2599/64, -259/32, 
  189/16, 103/32, 587/192, 9, -27/16, 121/16, 4279/96, -9215/96, -121/16, 
  -633/8, 9377/96, 2453/96, -3329/96, -1003/48, -121/16, 11545/96, 87/32, 
  1267/24, 271/12, -5281/96, -2603/96, -389/32, -119/8, 1775/16, 119/8, 
  -3161/32, 575/16, 119/8, -1961/16, -761/32, 9/4, -9/4, -9/4, 4, -187/32, 
  125/16, 0, -1/2, -7/16, 3043/12, 3479/192, -2789/192, -89/24, 100139/384, 
  -356423/768, 4931/64, 6587/192, -7801/12, 25193/256, -70051/768, 
  110449/384, 16171/256, -1/2, -13/16, -5/4, 11/8, -11/32, -2381/12, 
  -54655/192, 8547/128, -2135/192, 104567/256, 9771/32, 255877/1536, 
  -67001/384, 148895/1536, 5/32, 745/192, 119/96, -55/64, 52819/192, 397/16, 
  -131847/512, -525193/768, 122585/512, -65/64, -143/48, -61/192, -18983/192, 
  237689/768, 283/192, -401/96, -4, 123/32, -763/32, -45/16, 347/64, -917/96, 
  89/48, -605/96, 189/16, 587/192, -45/32, 27/16, -121/16, 1541/96, 61/3, 
  81/64, -295/12, -81/64, 497/32, 119/8, 81/16, -833/32, -57/16, -9/4, 9/8, 
  1/16, 1/2, 35/16, -13/16, -21/64, -11/16, -67545/64, -51359/64, -343/8, 
  113/24, 89023/64, 655027/768, 1405/32, -13481/384, -162925/768, -49303/768, 
  19891/256, 20425/768, -12219/256, -71/16, 29/32, -151/16, 13/16, 163/32, 
  254743/128, 102009/128, -825/128, 134481/128, 77369/256, 41251/192, 
  -617119/1536, -760561/768, -709829/1536, 277/32, -69/16, 29/4, -21/4, 
  -340163/384, 2299/128, -2546245/1536, -344039/256, 1139993/1536, -193/48, 
  93/32, 641/96, -89/48, 122353/128, -25/96, -139/48, 5/8, 199/16, 245/8, 
  9/2, 66555/64, 34237/128, 901/96, -541/192, -109873/384, 1149, 100935/128, 
  -24721/64, -161/16, -79/2, 63/16, -459/64, -55/2, -9/4, -195683/64, 
  -360979/384, 3979/192, 32799/32, -93713/128, 78719/192, -479/48, 155/96, 
  305/32, 99853/32, 107359/192, -299287/384, 45/16, -1321/192, -211841/192, 
  125/48, -25/8, -167/8, 571/32, -40589/128, -357925/384, 4745/96, -2063/32, 
  9983/96, 3137/96, -1183/192, 367/96, -499/32, 110743/192, 105801/128, 
  -155/4, 361/24, 1589/96, -102359/384, -1105/192, -5/2, -1169/32, 6751/96, 
  -3263/96, -3553/32, 343/32, 1133/32, -7231/96, -311/32, 165/16, 45/8, 
  -183/16, -9/16, 1/2, -3/16, 1/16, 16829/32, 17883/64, -849/128, 1/8, 
  96379/384, 16261/64, 3/4, -213203/768, 279/16, 143/32, 27/8, 5/32, 
  -46875/128, 2455/128, -16843/32, -440665/768, 212243/768, 47/16, 147/64, 
  -25/8, 245533/768, -603/64, 4, -53/16, 125/16, 0, 5/8, 35/24, 139/24, 
  -623/48, -7/8, -87/8, 133/24, 11/4, 31/4, -41/16, -55/16, -275/32, -391/32, 
  -69/64, -100363/192, -4971/128, 5221/128, 53473/192, 85651/384, -7119/128, 
  -9/16, 37/48, 85/12, 87917/96, 39711/128, -457927/768, 359/192, -481/64, 
  -83869/192, 431/192, -4, 183/16, -691/32, -45/16, 13/24, 689/16, 947/96, 
  101/4, -117/16, -17, -41/32, -1697/96, -47/96, -102677/384, -89/12, 425/64, 
  251/16, 65/6, 116231/384, -587/48, -9, 27/16, -121/16, -5143/96, 9377/96, 
  2453/96, 3443/96, 3101/96, -10177/192, -3677/96, 389/32, 119/8, -3161/32, 
  -765/32, -9/4, 4, -53/16, 125/16, 0, 1, -61/24, 437/48, -499/24, 0, -3/2, 
  -37/3, -1/4, 623/48, 3/8, 149/8, -133/24, -61/16, -31/4, 63/16, -1/2, 
  -107/32, -5/4, 11/8, -11/16, 1837/192, 4585/384, 5205/128, -227/64, 515/48, 
  305/32, 12803/384, -481/96, -313/48, -32399/768, 5797/192, 709/96, 1483/64, 
  -1609/64, 5/32, 745/192, 119/96, -3/32, -95/24, -2071/96, 1705/96, 
  -1499/24, -30929/768, 1879/192, -917/96, -5529/128, 1153/8, -65/64, 
  -143/48, -43/64, 1343/64, 827/96, 14537/192, 2567/256, 1347/64, 283/192, 
  5/24, -1661/192, -447/32, 283/192, -4, 183/16, -691/32, -45/16, 121/24, 
  253/8, 755/24, 45/16, 1/3, 581/24, -403/8, -947/96, -1/3, -171/4, 117/16, 
  1/2, 35/2, 133/32, -1403/96, 89/48, 263/128, 133/192, 163/32, -2059/192, 
  14567/384, -4395/64, -483/32, -967/192, 189/16, -1799/256, -4001/96, -57/2, 
  2977/128, 259/8, 587/192, 7429/512, 6793/768, -1457/64, -35209/3072, -9, 
  27/16, -121/16, -4279/96, 9215/96, 121/16, 633/8, -9377/96, -3/8, -2453/96, 
  2465/96, 271/12, 185/32, -11999/384, -8461/384, 4267/32, 3435/64, -2603/96, 
  -17/32, 12893/192, -841/12, -1943/128, 389/32, 119/8, -1775/16, -119/8, 
  3161/32, -761/32, 169/8, 7535/256, -2715/64, -49/2, -9/4, 9/4, -13/4, -1/2, 
  -139/64, -2845/512, -2065/512, -15/16, -101/24, -1381/768, 36139/1536, 
  -863/512, 6631/192, 16079/512, -3469/384, -25777/256, -70999/1536, 
  18611/256, 5/32, 6459/512, -1545/128, 69/16, 143/16, -1067/768, 66721/1536, 
  98935/1536, -4121/768, 241895/768, -35/2, -65/64, 90647/1536, -59/16, 
  57995/384, 78625/1536, 181417/1536, 2, 67/96, 41/192, -221143/1536, 
  -1085/192, 2, -53/32, 197/32, 0, 1/4, -83/96, 13/96, 5069/192, 263/32, 
  -1/4, -107/64, -199/256, 11/16, -5/64, 11/64, -377/192, 193/8, 5/64, 
  1481/768, 119/192, 65/128, -913/384, -27/4, -65/128, -143/96, -283/384, 
  137/128, 283/384, -2, 167/32, -691/64, -45/32, -121/192, 1021/384, -873/32, 
  -589/64, 133/64, -6497/768, -127/96, 505/384, 1597/768, -13633/384, 
  -1943/768, 189/32, 169/128, 2091/128, 587/384, -137/128, -11/2, -81/32, 
  -121/32, -199/128, 1165/128, 131/96, 10127/768, 217/24, 2097/256, 2913/64, 
  -2411/192, -1531/128, 3/2, 389/64, 119/16, 6605/384, -973/192, 5/2, 
  -689/64, -9101/384, 1, 9/8, -9/8, 9/2, 9/8, 1/2, -51/16, -109/16, -515/32, 
  177/64, -269/48, -106213/192, -118823/384, -233/96, -69/16, 93/32, 
  109225/384, -335/24, 7/12, -361/128, -893/64, -61/48, 4865/192, 41/8, 
  -967/32, 13/32, 81/8, 257/32, -337/32, 1/2, 1517/48, 40319/96, 141/128, 
  59/8, -83/48, 5587/384, -4183/96, 551/48, 13/48, -20633/256, -3793/192, 
  1709/96, 33/64, 543/16, -253/64, -743/32, -19/192, -5/32, -1465/32, 
  -4067/256, 49/32, 11/32, -83359/768, -1493/64, 65/48, 13045/384, -39/2, 
  475/96, 979/96, 65/64, -35/48, -161/64, -913/192, 577/128, -5, -365/192, 
  -283/192, -5/2, 137/64, -1/2, 43/16, 197/32, 1362651/96640, -1515/32, 0, 
  95/48, 4397/8, 31006401/96640, -593050927/579840, -135/8, -109/96, 
  -30269/96, -546574213/579840, 1867/96, -1/6, -2929/384, -929/24, -4759/192, 
  383/16, 263/32, 5/32, 3895/64, -323/64, 26269/384, 37/32, -179/192, 
  -15683413/48320, 118475299/193280, -217/32, 569/192, -155074099/579840, 
  3905/64, -11237/384, 13625/192, -5225/128, -33/64, 14871/128, -84149/384, 
  977/192, 785/384, 34419401/115968, 695/384, -121/64, -13951869/48320, 
  -1939/384, 253/192, 2255/96, -391/64, 737/192, 1531/192, 1589/96, 65/64, 
  1987/384, -347/128, -427/192, 1/2, 1778401/36240, -10039311/48320, 
  26805759/19328, -45/32, -913/96, 2085205/115968, 660422919/386560, 
  2587/192, 6263/192, 176130953/193280, 18229/192, -237/64, 2953/192, 
  -589/64, -369/64, -14875759/144960, -263473499/1159680, -337/96, 
  -595317/12080, -2077284061/2319360, -2585/96, 874237/193280, -26767/192, 
  201/32, 739/128, -1604597/9060, 5819/192, 3593/192, 79271891/96640, 
  98331293/1159680, 3/64, -14131/192, 8999703/96640, 11/128, -3033587/72480, 
  90160639/289920, -1194242401/579840, -121/32, -9248591/579840, 
  -155396117/231936, 4483/192, 905/96, -4281/64, 131/96, 895051/36240, 
  -273076381/1159680, 4901/192, 8298383/115968, -5737/96, -63/16, 
  28164829/289920, -136268231/193280, -11696221/115968, -22828489/289920, 
  -799733/18120, 158856141/193280, 119/16, 261/64, -7415/192, -973/192, 
  -1044353/18120, -615/32, 2055/64, 97066357/1159680, -31/8, -9/8, 9/2, 13/8, 
  -5077/32, 20355/64, -181853/2304, -231079/1152, -1224133/1152, -133331/768, 
  -63041/576, 2560541/9216, 2506253/4608, 936083/576, -26541827/9216, 
  -2810753/9216, -3903839/3072, 13754305/2304, 37408433/9216, -28480363/9216, 
  -72924389/9216, -13925887/4608, 14953715/9216, -1/8, -20321/64, 81007/64, 
  11223973/2304, 230431/576, -5079/32, -17249629/768, -5078315/576, 
  -107623801/4608, -73650277/2304, 780601/1152, 281160479/4608, 1979819/48, 
  57364505/3072, -497647/1152, -417039097/4608, -183248717/9216, 
  -5122499/2304, 268127279/9216, 15301151/9216, 1/2, -10133/16, 47677/48, 
  -1316549/576, -20313/64, -27004319/1152, -12357787/2304, 64484839/1152, 
  14415653/2304, 70335421/4608, 25110489/512, -149659937/4608, 
  300391801/4608, 59463311/3072, -5/8, 565729/128, 14478739/576, -10135/16, 
  -2921093/96, -90600097/576, -2492651/384, -25473145/256, -293175/128, 1/4, 
  307409/16, 569721/128, 25771697/192, 58983005/1152, 0, 306401/16, 5013/32, 
  111/64, 17/16, -25/16, 411/32, 0, 363419/1152, 760441/1152, -2077069/4608, 
  50375/144, 2358125/4608, -5097047/576, 325489/768, 8581859/9216, 
  -16561699/9216, 28010261/2304, -4991285/9216, -15050137/4608, 
  -3804507/1024, -4765009/4608, 263/32, 10821/64, -136505/128, 219451/768, 
  -236911/1152, 2511437/4608, -3712681/256, 24794125/2304, -21433049/576, 
  -307268809/9216, 662702533/4608, 680300359/9216, 32044729/576, 
  -984138203/4608, -177894319/2304, 24860737/3072, -699/32, -74184349/2304, 
  26090345/2304, -24241087/768, 40356631/256, 35767381/256, 164425417/1536, 
  -195109849/384, -224051581/1536, 979968127/3072, -9093299/1152, 
  -30250795/384, 26666347/576, -1226433659/2304, -758278033/4608, 
  476615417/1152, -201182993/1152, -11219761/384, 59501365/128, 6299937/16, 
  -5081/16, -401/32, -15/8, -1829/64, -135/32, -3583543/768, -1183115/576, 
  59981/144, 2519501/4608, 210273383/9216, 90027979/9216, -21817979/9216, 
  -22510315/1152, -94334285/9216, -589/64, 54221/128, 1961105/576, 
  -254629/1152, 2495165/4608, -66719735/4608, -888373/18, -311932001/9216, 
  1904092373/9216, 284503399/3072, 85316515/3072, 77546719/2304, 
  18359227/2304, -24207803/768, 429243883/1536, 188434505/1152, 
  -737197081/1536, 359202491/2304, 61939351/1152, -60897341/144, 
  -56983175/96, 234053/2304, -555/64, -131/32, -363/32, -3642889/1152, 
  380905/1152, 3276701/4608, 40828175/9216, -9186233/3072, 131/96, 
  -6783739/768, -242065/1152, 2719085/4608, -297240431/2304, -106544803/3072, 
  -33863033/1536, -29954617/576, -24271583/768, 388948739/1152, 29996359/144, 
  254137/1152, 1325/64, 357/16, 36828359/9216, 1803005/4608, -973/192, 
  23781865/768, 2316101/4608, -10603247/1024, -24272515/256, -2520221/4608, 
  -27/8, 9/2, 2513501/1536, 1/4, -19/32, 229/128, -353/128, -15/8, -59/96, 
  439/96, -371/24, 1895/384, 15/8, 1/16, -4153/768, 699/128, -209/96, 
  1145/64, 13097/768, 197/24, -3725/192, -125/8, 29/16, -5/64, -315/64, 
  935/64, 47/8, 1/4, -25/16, 13691/768, -829/32, -13/4, -83/96, 1041/64, 
  17269/256, 1237/192, 13/96, -14861/192, -11737/384, 1709/192, 2059/64, 
  -297/32, 65/128, 233/64, -175/96, -5/64, 349/192, -1953/128, 565/96, 11/64, 
  39073/384, 49/128, 65/96, 2911/192, -27/4, -283/384, 119/48, 65/128, 
  2759/192, -199/48, -913/384, 883/128, -5/2, -283/384, 1595/192, 137/128, 
  59/96, -631/192, -1219/384, -1145/48, 0, -1/4, 1087/48, 15031/768, 6697/64, 
  153/8, 83/96, -40069/768, 46165/256, -5587/192, -1693/96, 31187/384, 
  -2605/96, 1651/192, 631/64, -263/32, 1/2, 6073/48, -133547/768, 
  -173009/384, -41/16, -97/32, -267997/768, -475771/768, -233/64, 287/128, 
  19535/96, 9191/192, 10681/384, 9869/384, 311/16, -21/32, -61499/192, 
  21399/64, 721/192, 7, 288385/384, -137/48, 1055/192, -509/192, -10879/384, 
  75/64, 2431/12, 37/24, -219/32, 755/48, 4453/384, -239/96, -599/384, 
  797/192, 283/192, 73/96, 23141/384, -114485/1536, -94535/384, 45/32, 
  1033/192, -22915/768, -425335/1536, 6857/192, -1685/192, -8255/128, 
  3995/96, 1385/64, -3475/192, 589/64, 15/8, -20011/256, 494107/768, -289/32, 
  1015/128, 110377/192, -27673/384, -9397/384, -5033/192, -41/2, -2203/384, 
  -9217/384, 11/192, -12, 6179/192, 13325/384, 75/16, 629/192, 779/384, 
  -203/128, -469/64, 204649/1536, 102955/384, 121/32, 2321/96, 10823/256, 
  -16429/192, -387/32, 2767/32, -131/96, -503/64, -448213/1536, -10829/192, 
  -487/32, 10049/128, -2683/192, 3019/64, 5399/64, -1853/96, -2047/64, 
  -8765/192, -2947/96, -119/16, 1163/192, 4067/192, 973/192, 9149/96, 
  6073/96, -4763/192, -8957/192, -41/8, 9/8, -9/2, 59/8, -3565/4608, 
  871/4608, 0, -42853/13824, -871/4608, 0, 13387/3456, 0, 0, 2899/4608, 
  -75/512, 1963/1152, 10633/768, -309/512, 9677/432, 2377/768, -64243/13824, 
  9/64, -12367/1152, 21/512, -3565/4608, 17899/4608, -64243/13824, 27/32, 
  2899/4608, -1/4, 3/2, -16355/2304, -67/1152, 87833/18432, 107/96, 
  35281/9216, 1120693/27648, 553541/4608, 101227/6144, -43/48, 143449/864, 
  1703687/9216, -523361/1536, 1/192, -171871/1152, 546697/3456, -1501/192, 
  -31063/3072, 263/32, -11/64, 71/64, 10657/1152, 463435/9216, 311/192, 
  -210551/9216, -18551/512, 964495/18432, 1057/1024, -2363533/55296, 
  56473/2304, 3345763/27648, 343761/2048, -70423/3072, -55/128, -617/384, 
  -240913/1152, 503/128, -348251/1024, -1198235/9216, 53261/9216, 
  -2664415/9216, -55129/55296, 11/48, 1715785/55296, -155/64, -5077415/55296, 
  -367075/1024, 283/384, 1816009/55296, 5/8, 105065/9216, -249167/9216, 
  581149/9216, 22645/27648, -2589913/9216, -8180737/27648, -2807947/18432, 
  -1666477/9216, -15649/9216, 3484181/6912, 439111/18432, 2734651/18432, 
  -589/64, 93/32, -163843/9216, -892115/9216, -106987/6144, 13504843/27648, 
  677051/768, 525077/18432, 6244835/55296, 309037/2304, 2450581/18432, 
  -381/64, -778945/6144, -195467/9216, -31755833/27648, 3108323/18432, 
  -5079299/55296, 1849129/55296, 27857/288, 4202863/6144, -1816009/55296, 
  140089/27648, 5171695/27648, 93311/1536, 2971069/9216, 33171413/55296, 
  -566389/6144, 15001/864, -2215225/9216, 131/96, -1663817/6912, 
  -19627301/55296, 2692363/18432, -4128259/6912, -828331/2304, -604357/2048, 
  30491711/55296, 191755/1536, 15268469/55296, -6012835/18432, -1292183/6912, 
  -5952833/27648, -291239/2048, 1509163/13824, -973/192, 19550981/55296, 
  471541/6144, 7362089/27648, -9842509/55296, 1181419/13824, 9/2, 
  -1204747/13824, -1/64, -167/256, -163/128, 75/256, -2825/256, 1397/96, 
  -21/64, 3649/256, -163/128, 19/256, -281/256, -79/128, 1283/3072, 1/64, 
  -473/256, 6755/768, -71/256, 11/16, 9107/3072, 61/256, 281/256, 1283/3072, 
  79/128, 0, 29/16, -5195/3072, 0, -1283/3072, 0, 231/128, -339/32, -65/32, 
  125/32, 0, 1093/256, 1753/96, 139/48, -623/96, 1381/384, -577/32, 115/48, 
  2863/768, 685/32, 35/32, 17/64, -3811/256, -12183/4096, -5143/512, 11/16, 
  233/768, -53707/3072, -38727/2048, 27853/1536, 349/128, 68375/1024, 
  91461/4096, -6539/192, -43943/1536, 8821/256, 99/128, -76715/4096, 
  -31909/4096, -73/192, 6043/768, 36475/1536, 53479/12288, -39257/3072, 
  150941/12288, -12263/1536, -1859/3072, -30761/12288, -455/192, 
  229477/12288, 25615/2048, -16841/3072, 193/1024, 979/384, -13913/4096, 
  -283/384, -231/128, 363/32, -307/32, -691/64, -45/32, -1427/256, -2491/96, 
  689/32, 947/192, -1509/256, 23/32, -631/32, -17/8, -3/32, 411/32, 
  -305755/6144, -3827/768, -109/32, 74929/3072, 149167/2048, 56525/1536, 
  -2241/64, 289727/3072, 17381/3072, 143173/12288, -404509/12288, 
  -76237/12288, -92413/12288, -419971/6144, -89443/12288, -15719/768, 
  -27247/4096, 963017/12288, -839/4096, -3/4, 115/8, 27/32, -121/32, 665/32, 
  -5143/192, 9377/192, -275/32, -19/192, 375131/12288, -34233/512, 
  -7799/1024, -45817/768, -118241/1024, 31045/1536, 60397/3072, -91931/12288, 
  1728355/12288, -159749/4096, -51/16, 389/64, 119/16, 103/8, -3161/64, 
  42215/768, -6473/1024, 10883/3072, -31031/768, -9/8, 43/16, 2, -53/32, 
  125/32, 0, 1/2, -61/48, 437/96, -499/48, 0, -5/6, -37/6, -1/8, 623/96, 
  7/24, 149/16, -133/48, -95/96, -31/8, 33/32, -1/4, -107/64, -5/8, 11/16, 
  395/192, -385/96, 757/64, -13/8, 17/16, 68491/128, 108037/384, -7301/384, 
  -17/24, -1865/6, -2791/192, 103/12, 24287/768, 103/16, 5/64, 745/384, 
  119/192, -1/4, 2219/384, -449/384, 517/192, -211/192, -24391/64, 8071/384, 
  1417/128, 47431/768, -31571/768, -65/128, -143/96, 5/64, 709/192, 97/64, 
  3995/384, -71/24, -31355/768, 283/384, -65/128, -147/128, -343/48, 283/384, 
  2, 77/32, -191/64, -45/32, 1, 191/48, 1037/48, 11/4, 45/32, -7/8, 7/6, 
  -943/48, -947/192, 5/8, -27/2, 117/32, -41/16, 139/16, -1/2, -337/64, 
  -521/192, -529/96, 0, -109/32, -431/32, 5423/192, 287/64, 35/192, 24229/96, 
  -2289/128, -3279/64, -107/12, -469/64, 21/32, 1807/384, 403/48, -11/8, 
  825/128, 893/48, -19621/384, -19829/768, 11075/192, 14813/192, -75/64, 
  -2047/384, -119/96, -19913/192, -11759/384, 12739/256, 239/96, 143/48, 
  37925/384, -283/192, -4, 111/16, -83/4, -211/32, 25/24, 3989/192, 3703/64, 
  121/32, 99/4, 129/4, -9377/192, -17, -2453/192, 261/32, -2537/192, 3335/96, 
  45/16, -883/128, -13603/192, -2901/64, -7619/192, 2649/64, 5183/384, 
  -1765/192, 2471/192, -89/48, 531/16, 3141/128, -3085/192, 259/32, -189/16, 
  -12499/384, -587/192, -9, 497/64, -1/8, -5143/96, 1013/24, -119/16, 
  2453/96, 3161/64, 3329/96, 1729/192, 121/16, 22537/384, -1517/32, 
  -38093/384, -1267/24, -271/12, -1199/128, 2603/96, 389/32, 55/4, -3161/32, 
  9/8, -575/16, -119/8, 3231/32, 761/32, -9/4, 9/4, 45/4, -12, 3/4, 277/32, 
  -521/64, 25631/144, -1879/16, 457/64, 35/32, 1065829/192, 1065829/192, 
  -11168969/288, -11168969/288, -39430031/576, -39430031/576, -1065829/192, 
  609319/192, 24165895/576, 39430031/576, -609319/192, 75/8, 57/8, -9/4, 
  -75/8, 9/4, 53559/448, 332583/448, 13757/56, -137873/1344, -21781/96, 95/6, 
  95/12, -901/32, -871477/1280, 1613/32, 946371/4480, -2, 869/32, -1581/32, 
  0, 0, -9, -2, 2197/32, 0, 0, 9, -2, -3/4, 69/8, 75/8, 3/4, -75/8, 
  -53559/448, 89837/448, 78091/112, 153833/1344, 22921/96, 95/24, 95/8, 3/4, 
  15207/1280, 9/4, -3/2, 226019/4480, -6, -3/4, -9/4, -471677/4480, 
  -15207/1280, 0, 0, 0, 0, -10441/192, -43963/288, 115/48, -545/9, 
  376509/9664, -42951/2416, -58803/12080, 687957/4832, -1009/64, -395/32, 
  1317/32, 2, -51021/19328, -51021/19328, -51021/19328, -51021/19328, 0, 
  51021/19328, 51021/19328, -1927269/48320, 266367/4832, 4590939/48320, 
  1927269/48320, -153063/96640, 3/2, 153063/96640, 1623627/48320, 
  -251487/19328, -3094191/96640, -15/16, -15/16, 15/8, -3/2, 3/2, -9, -15/2, 
  18, -3/2, -7/2, 277/64, 5423/72, -1291/192, -1063/72, 235/12, 1057/64, 
  395/32, -1317/32, 705/32, 819/32, -197/32, 435/8, -67/8, 25/96, -25/96, -1, 
  1, 1/2, -1/2, -3, 1/2, -5, -1, -9/2, 1, 9, -125/8, -863/144, 2099/576, 
  15/8, -6, 27/16, -1979/128, -205/8, 205/16, -277/32, 521/64, -51127/288, 
  -2459/24, 3295/48, -3145/72, -649/12, -2, 2, 4, -8, -889/32, 8, -3/5, 0, 
  -76/9, -1/4, -76/9, 313/36, 161/18, 0, 179/18, 179/18, 0, -1/2, 1/2, 1/2, 
  1/2, 4, 1, -9/2, -769/96, 0, 79/48, -4/3, 391/192, -665/64, -181/8, 25/96, 
  -311/32, 15/4, 21/2, -63/4, 0, -7841/48, -1, 0, 0, -1/2, 0, -117/32, 
  117/16, 1/2, -117/32, -11, -13/2, -5441/32, 1147/2, 27/4, 0, -501/32, 
  21/16, 0, 459/32, 135/4, -9, -129/4, -1709/96, 179/32, -7841/48, 0, 0, 
  -2077/96, 18583/144, 7/8, -1879/6, -7841/48, 1879/6, 0, -55867/72, 
  -1825/96, 5491/6, -43/16, -24937/96, -315305/576, -57181/72, 3547/8, 
  -7841/48, 0, 0, -82/3, -12817/36, 105/4, 777/64, 9/4, 9/4, 63/16, -457/64, 
  -35/32, 569/32, -675/32, 53/16, -777/64, 133/32, -537/16, 1/2, -15/8, 
  181/9, -533/24, 3/4, 473/16, -3/4, -3/4, 485/16, 75/4, 57/4, -9/2, -75/4, 
  9/2, -10139/384, -969/64, 27/4, -27/4, 6, -3/2, 69/4, 75/4, 3/2, -75/4, 
  10139/384, 969/64, -27/4, 27/4, -6, -225/8, -171/8, 27/4, 225/8, -27/4, 
  23/8, -13, -11/2, -45/8, 9/2, 9/4, -207/8, -225/8, -9/4, 225/8, 3/4, 
  -111/8, -5/2, -1233109/144, 4635625/288, -2207531/288, 1112599/72, 
  -3910243/288, -822871/144, 359/16, -5449/256, 6, 163615/448, -24769/168, 
  17965/224, -151045/1344, -17965/224, -9/4, -9/4, 3717/128, 15/4, 741/64, 
  -9/4, 6, -9/4, 4101/128, 303/128, 741/64, -741/64, -183/8, 3543/64, 
  18901/384, -23/8, 14123549/5376, 7534937/5376, 14099413/5376, 159547/1792, 
  -610123/448, 227/16, -14172101/5376, -14154349/5376, 69/16, 0, 0, -87/8, 
  -11701591/47040, 6, -13817285/5376, -13816501/13440, -19/16, 75/8, 
  127015673/376320, -97989967/94080, 235223/320, -30190291/125440, 0, 
  249671/4480, -911797/1280, 304971/4480, 1116827/2240, 49267/8960, -3, 
  2015123/13440, -78311/1920, 3, 8138483/3360, 1192087/5376, -2918067/1792, 
  -2640103/960, 57/4, -225909/4480, -891637/640, 837/16, -88069/1120, 
  -1549/16, -6, 3247523/6720, 76993/640, 6, 61837879/47040, 215773/1792, 
  -71667721/47040, -1285109/480, -562049/1960, -69/16, 9/4, 45/8, -15/4, 3, 
  19577/864, -12589/576, 3, 88537/2688, 76441/2688, 157/2, 279/8, -367/8, 
  -157/2, -526069/2688, -27933/128, 11, 306007/1344, 75/8, 2437/128, 693/32, 
  279/8, 103/8, -157/2, -87/8, -28439/384, -53909/384, -167/4, -74687/2688, 
  -315/16, -57/32, 931/32, 183/8, -409/8, 57/16, -139/32, -379/448, 351/32, 
  -10051/336, -3123/32, -177/16, 15/32, 247/8, 183/8, -3329/64, 57/16, 
  -203/32, -1177/448, 303/32, 851/21, -2835/32, -57/64, 45/16, 1/8, 5, 25, 
  -5089391/448, 5091407/448, -209/4, -87/4, 5104063/448, 209/4, 
  46171723/4704, -29808893/3136, -11, -278077/1344, 45/8, 11/4, -341/32, 
  1427905/1568, -981/16, 732891/784, 1629/16, 74988905/18816, 75172949/18816, 
  -320792309/37632, -171191351/37632, 7622787/392, -917/32, 1427905/1568, 
  1565/32, 74988905/18816, 2, 885/32, -7239281/768, -1533/32, 
  289031167/18816, -3/2, 0, 3/2, 0, 3/4, 0, -5329/384, -301/16, -301/16, 
  3237/128, 11417/256, 14381/256, -6, -301/16, 81/128, 11417/256, 741/64, 
  301/16, 0, -10655/256, -39/128, -3/4, -30935/128, 631777/5376, -91081/384, 
  178919/448, 593477/1792, 203/16, 32091/128, 95005/384, 59/16, -85711/896, 
  -85711/1792, 85711/1792, 85711/896, -3/8, 320977/8960, -40683/448, 3, 
  95353/640, 24, -3/8, 114211/8960, 37049/140, -516609/2240, -111317/2240, 
  -9739/1920, 39207/1280, -33439/1920, 2101319/6720, 2068187/3840, 
  3170077/13440, 5593937/13440, -8377/48, 139947/1120, -933829/6720, 
  -218963/1344, 75071/4480, -42859/1920, 30087/640, 1629/32, 237581/1680, 
  -1989/32, 82493/480, 498479/4480, -64963/1920, 124301/3360, 603349/13440, 
  -1518101/13440, -231799/2688, 0, 0, 0, -60295685/38656, 291638413/193280, 
  -2702313/12080, -2702313/12080, -296558419/96640, 2702313/12080, 
  60295685/38656, 2460003/12080, 0, -16559/192, 4429/18, 185/16, 
  -73177713/193280, 64341771/193280, 44327427/96640, -44327427/96640, 
  -288003/48320, -75013311/193280, 39179607/96640, 917799/96640, 
  -2883645/19328, 311/16, -25/2, 25540109/96640, 370867009/8214400, 
  370867009/8214400, -370867009/8214400, 388545149/193280, -105301583/193280, 
  -388545149/193280, 370867009/4107200, 2460003/9664, 43405977/38656, 
  34224099/38656, -34224099/38656, -2460003/9664, 4590939/19328, 
  2460003/9664, -281/16, -99/2, 0, -896185843/1043712, 0, 0, 
  -896185843/1043712, 896185843/347904, 4835169647/1739520, 0, 
  -896185843/347904, 176762339/115968, 0, 6829/192, -60295685/38656, 
  -4351218191/3479040, 0, 4351218191/3479040, 60295685/38656, 
  3949723789/1352960, 919687407/676480, 2702313/12080, 2702313/12080, 0, 
  -984280951/1352960, -10190097/19328, -2702313/12080, -140758503/169120, 
  -2460003/12080, 0, -147214519/193280, -6415051063/6764800, 
  -23760237/193280, 12059137/19328, 115171469/193280, 17961837/193280, 
  140758503/422800, -35191453/193280, 13505151059/6764800, -1624533/6040, 
  -12966837211/6764800, 12461367/60400, 0, -20003187/193280, 0, 
  18843507/193280, 0, 3, -20293107/193280, -3, 22310963/193280, 
  -768349793/6764800, -808869/3020, -7577094183/6764800, 12393417/60400, 
  -15364467/193280, 13045107/193280, 6, -24, -21742707/193280, -6, 
  -34611613/193280, -687172193/6764800, -1651713/6040, -7587241383/6764800, 
  12461367/60400, 23005/192, 3847/72, -2080417/3456, 6663/32, -241/18, 
  -6399/32, -2850517/3456, -147/16, 24495/64, 6663/32, -91049/288, -9/2, 
  -7145/36, -4371/32, -6483/32, -2831725/3456, -45/8, -12, 201223/288, 21/8, 
  -434, -1093/12, -28666859/144960, 11806139/72480, 84847/432, 42995/96, 
  -1025701/3456, -79745/288, 333/32, 213277/1152, 129971/288, 157879/1728, 
  3891079/3456, -291/32, -2848417/3456, -1015333/3456, 245/12, 
  47584459/96640, -43486031/144960, -105/4, 2883871/3456, -212/3, -777/64, 
  21698003/869760, 85419659/289920, -20199913/144960, 1214253/96640, 
  -439229/48320, 509721/96640, -135347/9664, 19/8, -105/4, -242823/24160, 
  56751/2416, 105/4, -27901791/48320, -6971721/48320, 39003/151, 
  21826869/48320, -42236157/96640, -224553/19328, -49649/48320, -56367/48320, 
  9/2, -242823/24160, 44103/12080, 105/4, -52347819/96640, -4527613/24160, 
  45129753/96640, 22242573/48320, -4225885/9664, 27/16, 57/32, 57/16, 15/8, 
  -57/32, -57/16, -87/16, 139479/12080, -130749/4832, -2710137/96640, 
  -1971/1510, 12100521/48320, -111/16, -15/32, 57/32, 15/8, -57/64, -93/16, 
  -87/16, 321993/24160, -144171/4832, -2882277/96640, -74571/12080, 
  17140581/48320, 311/16, -43/2, -207, 2347/96, 89/64, -5981/288, -2, 501/64, 
  251/32, -645/32, 2, 448, 1, -23/2, -14, -1, -959/2, -11088539/96640, 
  -4788589/48320, -10288877/96640, -2194379/24160, 4788589/48320, 
  2194379/24160, 128841936577/32471040, 126781912177/32471040, 
  -127289729473/32471040, 388545149/193280, 54497899/193280, -31/2, 
  -54497899/193280, 370867009/4107200, -16096717/193280, -47662537/193280, 
  -19200591/96640, 12252641/96640, 3137129/24160, -13156259/96640, 
  -33380820463/43125600, 3137129/24160, -13156259/96640, -19200591/96640, 0, 
  45353/1728, 0, 0, 0, -45353/1728, -281/16, 5226929/386560, 4590939/96640, 
  15769363/386560, 15769363/193280, -99/2, 1377567/48320, -7414849/36240, 
  -281/8, 5199363/96640, 16630507/193280, 7813489/12080, -7502709/48320, 
  8012809/18120, 1283204549/579840, 7414849/36240, -6332439/96640, 
  -87075/4832, -27085497/48320, -9916011/19328, 0, 87075/4832, 9916011/19328, 
  -281/16, -22234293/96640, -6377241/24160, -4590939/96640, 22234293/96640, 
  -99/2, 1377567/48320, -465309/24160, -8584383/24160, 465309/24160, 
  8584383/24160, -1377567/48320, -796401/12080, -1824495/4832, 425829/4832, 
  2058111/24160, 1177821/96640, -663273/96640, -357147/96640, -2198241/96640, 
  663273/96640, 2198241/96640, 0, 4557867/48320, 8353587/48320, 
  6950931/24160, 1437819/24160, 4653639/24160, -33/4, 716463/48320, 
  -1213551/96640, 6, -60723/3020, 0, -15/2, 923631/96640, 47133/3020, -3/2, 
  6530499/48320, 914193/6040, 4699677/24160, 639303/96640, 15452223/96640, 
  -235/32, 157327/576, -63/32, 15/32, 3/2, -935/18, -189/32, -225/32, 21/2, 
  -2027/72, 169/6, 455/4, 46, 1663/72, -2, 123/2, -931/8, 841/32, -2561/32, 
  -8875/576, 1/2, 29663/96, 6887/144, -19/4, -61, -5/8, -1/2, -1185/32, 
  4429/576, -211475/1152, -883/4, -45/4, -4765/16, -396665/1152, 7791/16, 
  84743/72, -107549/72, 737249/96, 93/4, 381/16, -225/32, -4831/16, 
  -11373/32, -37037/32, 4459/16, 138303/64, 33/4, 615/16, -297/32, -249/32, 
  -409099/256, -5083/16, -11565/32, 287621/128, 4837/16, -2663/192, 
  404491/256, -158395/128, 2977/72, -15/16, 33/16, 5/2, -1/2, -11/4, 10, 
  65/16, 53/8, 8, 47/8, 7/2, -253/16, -7/4, -11/2, 13, -1/2, 11/2, -31/8, 
  65677/288, 5/4, 67/8, -157615/576, 29/4, -4, -1023/8, 695/8, -11/8, 
  138599/96, -5/4, -55/8, 7/2, -65/4, -895/4, -3/2, 17, 1879649/48, 
  -939721/48, -5318125/96, -57/8, 37/4, 357253/12, -2859221/96, 
  -9916475/1152, 717701/192, -2870573/48, -45463/32, 1426009/48, 1441561/48, 
  476467/96, 3/2, -447721/96, 408907/256, 447643/96, -3/2, -89320/3, 
  -1701355/384, 1428733/96, 357181/12, 448405/96, -447643/96, -10981319/384, 
  -410187/256, 0, -125/4, 0, 0, 0, 6, 3/2, 3449841/77312, 6, -3449841/77312, 
  3, 3565809/77312, 11, -47/4, -9, 599/48, -223/96, -325/32, 0, 0, 0, -67/8, 
  3/2, -3, -119/96, -169/96, 3/2, -3, -3/2, -3/2, 0, -23/4, 37/4, -7/2, 0, 0, 
  0, 0, -125/8, 0, -375/8, 5897/144, 81209/72, 182/9, -277/16, -94889/288, 
  45/16, -154181/576, 2503/144, 475/18, -1901/96, -277/16, 1901/96, 0, 
  167983/288, -94133/288, -171259/288, -3/4, 93677/192, -147443/576, 
  -259781/576, 19207/32, 262967/576, 57673/192, -35981/36, 224413/288, 63/64, 
  572143861/1932800, 19/8, -105/4, -129/8, 2541/320, 105/4, -81/8, 
  -599610761/1932800, -974691/24160, 453/40, 3565809/96640, -87/16, 
  588723661/1932800, -616060701/1932800, -129/8, -2619/320, 105/4, 
  -605922561/1932800, 576642711/966400, 549/20, -539293421/1932800, -7313/48, 
  4094/9, -19485/64, 8629/192, 173/16, -7313/48, -52909/1152, -415/64, 
  -1777/576, -13367/64, 16457/36, 174373/576, -19485/64, -172435/1152, 
  847/64, 321019/1152, -173077/576, -320057/1152, -133/18, -1513/72, 1445/72, 
  853/192, 6, 1, -5389/192, -6, 189/8, 6391/72, -475/18, 737/8, 1, -735/32, 
  -38/3, -371/16, 3503/48, -987/16, -2, -939/8, 3871/24, -32, -11/2, -5, 
  -1/2, 5, 2093/64, -11/6, 923/32, -1711/96, 3467/64, 3, 819/32, -967/96, 
  -43/4, 72/5, 3, 3, -3, -6/5, 3, 3, 0, 9, -12/5, 3, 6, -6/5, 3, 6/5, 3, 
  4621/288, 1415/48, 19/16, -8609/144, 617/72, 6179/144, -2977/96, 4829/144, 
  -51/32, -9/4, -1, -1, 23/4, 5/2, -7/2, -29/4, 95/12, 5053/288, -3/2, 
  733/288, -21/2, 27/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -125/8, -873/16, 351/16, 261/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 769/96, 
  799/48, 0, -17861/576, 28871/192, 38983/1152, -41975/192, 85847/1728, 
  135115/576, -471659/864, -223597/768, 27749/576, -721/24, -1033/48, 57/16, 
  985/96, -6049/384, 1795/64, 779/12, -235/16, -635/24, 205/8, 1963897/576, 
  332413/48, -219/32, 260/9, 5/4, -296/9, 9/8, -137/64, -505/48, 115/24, 
  -219/32, -7841/48, 235801/864, 1907/12, 383273/1728, -3013/24, 
  -28063721/3456, 41731/216, 19711/96, 464201/1728, -27994793/3456, 1859/72, 
  49885/3456, 16513/96, -86635/3456, -61279/3456, 22217/1728, 1127177/6912, 
  -6929/72, -3498707/6912, -21715/288, -69401/216, 35521/3456, 16513/96, 
  624325/1152, -76831/3456, -388313/1728, -199447/6912, -3559/36, 
  -3452051/6912, -20689/288, -606073/864, 2041/16, 444007/864, -54665/144, 
  -331817/864, -4, -529/48, -253/16, 953/32, 3703/192, -825/32, 529/24, 
  2591/48, 841/96, -779/12, 1870817/240, -5467217/2880, -94249/15, 
  -1766513/120, -12569/72, 131089/288, -162121/576, 35285/72, -172217/288, 
  -2539/8, -1477/8, 10187/288, 27/2, 1465/8, -6849/64, -3661/96, 30433/72, 
  -6011/96, -32017/144, -5915/24, 75/16, -10469/48, -638507/6912, 29/8, 
  -590435/1152, -35/2, 953/128, 6341/144, 2569/72, 4/3, -4/3, -79/24, -23/3, 
  889/48, 23/3, 14783/72, 10985/288, 45/4, -14977/32, -1927/144, 159599/576, 
  -19783/36, -2705/96, 29753/48, 33329/96, 6/5, 7/6, -1, -7/6, -1247/24, 
  151/6, 10739/192, -145/6, 3/5, 3/2, -9547, 50925/16, 178499/12, -44552/9, 
  -19/2, -179/18, 9/4, 13, 457/36, -6, 5, 401/36, 79/36, 21/2, -5/2, -5/4, 3, 
  13/4, -3/4, -3/4, 109/4, 53/18, -21/2, 6, -125/48, 18036881/3456, 350/9, 
  -1153/64, -3459/128, 3459/128, 3459/64, 0, 0, -1153/64, 0, 0, 0, 0, 0, 0, 
  -1153/32, -1153/64, 1153/64, -218363/1728, 43115/96, -75/32, 52013/216, 
  -88609/384, -297205/1728, 209381/1728, -23/16, 2405431/6912, 35/4, 
  36881/384, 2367001/13824, -20549/1728, -47/24, 43691/96, -75/32, 293/192, 
  -90913/384, -5051/108, 219749/1728, -23/16, 2353591/6912, 35/4, 
  449947/1728, 48157/384, -221369/864, 2308249/13824, 14035/144, 1683/32, 
  675/8, -159/4, -557/192, 2933/144, 21821/576, 925/32, 1519/16, -3201/16, 
  -115, 1523/32, 1495/16, -2727/16, 95/8, 3703954769/12321600, 66/5, 
  -370867009/12321600, 852563341/1540200, -6729237448487/2760038400, 
  370867009/12321600, -3703954769/24643200, -52127267/193280, 
  -3703954769/8214400, -99/5, 1221394609459/920012800, 3703954769/16428800, 
  370867009/6160800, 1586621551/2464320, -5899551580231/2760038400, 66/5, 
  -370867009/6160800, -370867009/6160800, -24955920523/9857280, 
  4655022777847/2760038400, 370867009/6160800, 364890869/193280, 
  806551675331/1380019200, 66/5, -806551675331/690009600, -66/5, 
  806551675331/1380019200, -373/32, -135, 1749/8, 251/4, -180541/1728, 
  -998251/1728, -495137/768, 141619/576, 337/32, 17947/5184, 150161/384, 
  -5491/576, -1548443/10368, 31307/576, -70705/5184, -684739/1152, 
  -687625/10368, 13531/72, -24960663/48320, 0, 0, 0, 0, 0, 0, 0, -1755/128, 
  3035/64, 1, -4315/128, -1225/36, -145/6, 1060/9, 24835/64, -1897/36, 
  -77225/192, -126875/864, 580591/3456, 0, 210, -69/2, -420, -113/2, 1929/16, 
  -28099/72, 445/216, 0, 105/4, 0, 0, 0, -2759/144, -7841/48, 2759/144, 0, 
  -1112147/4320, 189/8, -948613/4320, -25553/72, -189, -17465/288, 
  451963/4320, -263/12, 263/12, 3/2, 111/4, 227/12, 12877933/8640, 
  1278613/8640, -977/48, -17465/288, 1/2, -473/8, 473/8, -370867009/2053600, 
  1387543029491/920012800, 117/8, 4998274213/2053600, -2702313/12080, 
  2702313/12080, 0, 0, 817419/2416, -1025896867/695808, -692391/6040, 
  -4610640239/3479040, -81/16, 0, 4610640239/3479040, 1147/2, -1033/128, 
  -131/16, 0, 969/64, 131/16, -905/128, -3/2, -3/2, 111/4, 4475/64, 
  -2291/144, -14545/192, -55/36, 173669/3456, 1641/16, -14035/144, -1897/16, 
  -133855/12, 770167/72, -25135/144, -4628561/432, 26647/96, 1731797/8640, 
  27821/36, -361847/8640, 1157/48, 22387/576, 21823/576, 10129/64, -7841/48, 
  -49037/1152, -10129/64, 599/128, 137269/288, -665/24, -143281/288, 
  -50755/144, 26141/288, 20149/192, 356603/1152, 148195/288, -11993/48, 
  -26075/576, -25513/192, 25123/1152, -329915/2304, -1731797/8640, 
  -136837/288, 161183/640, 331/64, 10981/4320, -526229/1920, 239665/2304, 
  1/2, 777/64, 3/2, -133/32, 4, -1/2, -505/16, 7/2, -17/2, 5, -473/8, 477/8, 
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  80335/768, 8418559/4608, 1/2, -49195/384, -8413951/4608, 56855/768, 
  53393/432, -11041/54, 24776341/6912, -5107519/3456, -7897183/4608, 
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  3233180575/2435328, 3/32, -751597181/8697600, -3181429855/2435328, 
  382702920163/730598400, 864665981/8697600, -25710228519/27059200, 
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  0, 49/24, -58373879/6912, -296933519/41472, -37663/576, 41/6, 
  85881277/4608, 27646871/10368, -233/16, -142179491/13824, 131/16, 
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  3, -151/2, -2991409/864, -734223331/24643200, 1643/64, 
  113746278437/55447200, 458459428423/73929600, 51/4, 1370839331/24643200, 
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  207/16, -2972023/1728, 102607285459/55447200, -2, 259/32, 1/2, -1285/32, 
  -995/32, 9/8, 137/16, -2371733/15552, -2565284931961639/130411814400, 
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  1569/64, -1652297/31104, 15400777468738439/782470886400, 
  7243374763465327/260823628800, -117/64, -4900595/31104, 
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  2259/128, -59/8, 29/2, 121/192, -99/2, -443/48, 2011/96, 1205/32, -313/12, 
  -143/32, 2679857/31104, 2565676167404839/260823628800, -403/128, 
  -3701705/6912, -464417877594049/43470604800, 4547/256, 42378121/124416, 
  907/384, -117229/31104, -5114814514897253/521647257600, 
  -389708964117649/43470604800, 8658067/62208, 1843851980587621/173882419200, 
  -13225741/31104, -2507672270264699/521647257600, 49097670997103/5433825600, 
  -340287779418749/86941209600, 48809822890753/10867651200, 59/8, 
  2953465/576, -1011589577/4107200, 2051/192, -2895721/1728, 
  -1245571627/6160800, -299/32, -1484081/432, 355/24, 1165847/15552, 
  -6329290303765343/260823628800, -1922617877/24643200, -7041557/2304, 
  111637524301957/38640537600, 813709007/124416, 
  -4361763704915923/521647257600, 314281985123129/49680691200, 
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  1011589577/2053600, 2958505/288, 2591576813/8214400, 1301/64, 
  31899439773511/1917820800, 6503517605088503/115921612800, 
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  -1011589577/4107200, -2110135331/24643200, -390424902960871/6818918400, 
  9/4, 0, -9/4, -1/2, 0, 65/32, -49/32, -27/8, 27/8, 118017679/645120, 
  -295452963/386560, 6662448331/5798400, 63/64, -21/16, -6618416731/5798400, 
  298388403/386560, -202654399/645120, -11161265/21504, 1121928449/5798400, 
  -1929836023/2899200, -63/32, 38745467/71680, 3294603671/5798400, 489/16, 
  -11215013/46080, 2375/512, 17507/512, -56920277/231936, 
  77335599763/121766400, 63/256, -63/256, -70075390093/121766400, 
  -44311077/77312, -1311662750233/243532800, -46840425881/243532800, 
  -189/256, 1413781170763/243532800, -588505357/1159680, -83423/480, 
  -147031896969407/25760358400, 63/512, -63/512, 436580835906221/77281075200, 
  12813263238971/2576035840, -189/512, 19208388880497/25760358400, 
  20082857/773120, -20082857/773120, -20463377/2319360, 1/3, -1/6, -7/6, 1, 
  -119806879/1935360, 833608549/3479040, -555967387/5798400, -105/64, 
  -127642399/645120, 832140829/3479040, -1821840823/8697600, 
  -1171060159/1935360, 197000099/3479040, 609904481/1935360, 
  232330871/1935360, 294880883/1449600, 257/8, -1645861/17280, 9077/1536, 
  49705/1536, 69069133/695808, -73672080157/91324800, 819/256, 
  16279787/231936, 395941711399/730598400, -111898979/231936, 
  1360774481083/730598400, -16067/384, -234073/3840, 
  451320842544221/231843225600, -2045/512, 3419399766462797/695529676800, 
  56726195540491/231843225600, -17854097/2319360, -5/32, -911/96, -1731/1024, 
  1197/1024, -5/32, -12391/192, 1043/64, 341065603/43008, -11091/128, 
  -36995545892839/6210086400, 110199/512, -21/64, 4577/1024, -3741/256, 
  1/128, 124231/3072, 97/512, -2387559750162787/173882419200, 68873/256, 
  247/192, -2363/3072, 229/384, 163505/2304, 9649/256, 5/32, 16783/384, 
  684782951/107520, -5158555821401/644008960, -20381/384, -1978947979/161280, 
  -68449573/53760, 1889562535870847/57960806400, 4700969/7680, -87/128, 
  100151/1152, -150749288093429/2173530240, 517519/9216, 
  -551602485038357/57960806400, -36062653/215040, 301/384, -85963/3072, 
  -17625/1024, 12223/384, 861496963/322560, -8019257897111/1022837760, 
  160739011/107520, -3647087348620249/173882419200, 20523259/2048, 
  -389639/9216, -635351153/322560, -11924657/215040, -18511/1024, 
  -409001/3072, -6251011337/322560, -331842791/30720, -142837/3072, 
  14649/1024, -347/256, 381/256, 3/256, -33/128, 1/2, 5/32, 21/64, -1/2, 
  -5/32, -21/64, -3/128, 9/64, -5/32, -149/256, -359/384, -21/64, -237/64, 
  247/192, 5/32, 21/64, -247/192, 3/128, 117/256, -285/128, -777/128, 327/64, 
  539/128, -49/24, 1700437/15360, 6849/256, 703930357/3870720, 45813/256, 
  3/8, 1701/256, 1455/512, 1/8, 21691/1024, -793/256, -91094767/483840, 
  -36019/1024, 15/256, -2071/512, -25/256, -106873/3072, -7121/384, 3/8, 
  49/128, 213/128, -9, -6285/512, -973/96, 1161301/5376, 906733/15360, 
  71777150914417/46368645120, -293871381457/730598400, 1/8, -291/512, 
  -2207/128, -457981/1024, -24971221/107520, 9283181/17280, -15/256, 
  -2795/512, 1372445/3072, 19/64, 9/16, 5123/512, 4311/512, -25007599/107520, 
  124037551/579840, -319947400782659/115921612800, 1081/256, 1381/64, 
  5575993/26880, 551/256, 1179/256, -1491/256, 927821/3072, 4221/512, 
  357/128, 47588369/36240, 466839451/2435328, 626040697/967680, -1/2, 
  3761520353/978432, -172572696329/73059840, 5/16, -8222476967/4058880, 
  -87/64, -189671711/72480, -1391099317/1217664, 
  1460335726563949/173882419200, 1/2, -192142971/46592, 
  104641830397/12176640, -5/16, 124425952541/56824320, 87/64, 1958091/1510, 
  140627471/3044160, -757922202215933/57960806400, 131008019/489216, 
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