{{1, 1, 0, 1, -3/4, -3/4, -1, -3/4, -1/4, 3/4, 3/4, 5/4, -3/2, 3/16, -9/16, 
  1/8, 1/8, -3/16, -1/16, 1/8, -3/16, -1/16, -3/16, -1/16, -5/8, 1/8, -1/8, 
  -1/4, 1/8, -5/16, -1/4, 1/16, 1/16, 3/16, 0, 1/2, -1/4, -3/16, 1/2, 3/4, 
  11/16, -1/8, -9/16, -1/2, -17/16, 1/2, 1/4, 1/8, -17/16, -11/16, -1/4, 
  -21/16, -21/16, 3/16, 1/4, 13/16, 13/16, 5/16, -7/64, 1/64, 7/64, -1/64, 
  3/64, -1/32, 5/32, 7/64, -1/64, -3/32, 0, 1/64, 7/64, -1/32, -9/64, 13/64, 
  1/64, -19/64, -13/64, -3/32, 3/32, 3/32, -3/32, -3/32, 5/64, 5/64, -5/32, 
  -5/32, -1/8, -1/32, -5/64, -1/64, 9/64, 1/8, 1/64, 0, 0, -3/32, -3/32, 
  5/32, 5/32, 3/32, -5/32, -1/8, -3/32, 3/32, 7/32, 3/32, -1/8, -3/16, -9/32, 
  -5/32, 1/4, 1/8, -5/64, -5/32, 3/32, 1/32, -7/64, -7/64, -11/32, -5/32, 
  -9/32, -3/16, -1/32, 3/64, 1/8, 1/32, -1/8, 0, 9/64, 1/4, 9/64, 23/64, 
  23/64, -15/64, -23/64, -3/32, -3/32, 3/32, -3/64, 3/64, 7/64, 1/16, -9/16, 
  -33/64, -3/32, -9/32, -9/32, 1/16, -1/16, 5/64, 5/32, 1/32, 19/64, 47/64, 
  13/32, -1/64, -7/32, -3/16, -3/16, -3/32, 1/16, -15/64, -19/32, -15/64, 
  -17/64, -21/32, 1/16, 0, 3/64, -3/32, 19/32, 9/32, 1/16, 1/8, 3/16, -15/64, 
  1/8, 11/64, 31/64, 13/32, 7/64, -3/32, 0, -9/16, -5/64, -1/64, 5/64, 1/64, 
  3/64, 3/64, 5/64, 1/32, -1/64, -1/16, -1/16, -9/64, -1/32, -11/64, -3/32, 
  1/16, 1/32, 5/32, -1/64, -7/64, 3/16, 3/64, 5/64, -13/64, 9/64, -5/32, 
  -1/64, -3/32, -11/64, -15/64, 3/64, 7/64, 15/64, 3/32, -3/32, -3/32, -3/32, 
  -1/32, -1/32, -5/32, -5/32, -5/32, -1/16, 1/32, 1/16, -1/16, 3/32, -1/32, 
  1/8, -1/32, 1/16, 1/32, 0, 0, 3/32, 3/32, -3/32, -3/32, 11/32, 11/32, 
  -1/32, -1/8, 3/32, -11/32, 1/32, 0, 0, 0, 0, -3/16, -3/16, 0, 3/16, 1/32, 
  -7/64, -17/64, -1/8, -5/64, -9/64, 9/64, 1/16, 9/64, 1/16, 5/32, 1/4, 
  -11/64, 1/32, 1/64, 1/64, -1/8, 13/64, 1/64, -3/32, -7/32, -3/64, -1/8, 
  5/32, -1/64, -1/64, -1/64, -1/64, -3/64, -3/64, -3/64, -1/32, 1/64, 3/64, 
  3/64, 1/32, 1/32, 0, 0, -3/64, -3/64, 1/32, 0, -1/64, -1/64, 3/64, -1/32, 
  1/64, -1/16, -1/16, 1/64, 1/64, 1/64, 5/64, -1/64, -1/64, 1/32, 1/32, 
  -1/32, 1, -2, 1, 2, 1, 1, -2, 1, -1, 1, 0, 2, 19/3, 19/8, -11/8, -25/12, 
  -45/8, -13/3, -1, -2, 2, -1, 1, 3, 2, 1, 1, 89/24, -1, -1, 1, -3/4, 1/4, 
  -1/4, -1/4, 1/4, 1/2, -1/4, 1/2, 1/4, 3/2, 1/2, -3, -2, 1/2, 1/4, -1/4, 
  -1/2, 0, -3/4, 1/2, 1/4, 3/4, 2, -1, 143/48, 1/4, 1/2, -1, 2, -3/4, -3/4, 
  5/4, 3/2, -1/2, -3/4, 1/4, 3/4, 11/4, 9/4, 1/2, -5/4, 1/2, 0, -1/2, 1/4, 
  1/2, 1, 2, -11/4, -3/4, -3/4, -9/2, -1/2, 2, 9/4, 195/32, 55/48, -95/12, 
  127/48, -65/12, 149/192, -517/64, 91/48, 1787/192, -11/6, 347/96, -485/48, 
  -539/96, 47/32, 13/3, -929/64, 415/64, 115/16, -1483/192, 149/24, -1/2, 
  3/4, 1, -1, -1/4, -3/4, -1, 1/4, 1/4, -1/2, -3/2, -3/4, -3/4, 1/4, -2, -3, 
  -9/4, -9/4, 3/4, -3/2, 1, 3/2, -1, -3, -3/4, 2, 5, 3, -4, -1/8, -1/8, 1/8, 
  -1/12, 1/12, -11/8, -1/2, 3/16, 1/16, 1/4, 7/16, -3/8, -1/2, -3/8, -1/16, 
  1/16, -5/16, 15/32, 5/32, -5/32, 5/32, -1/16, 1/16, -1/16, 7/16, 1/8, 1/6, 
  7/48, 5/8, 3/8, 9/64, 1/4, -27/64, -3/8, -3/16, -1/8, 1/16, 1/8, -1/8, 
  -3/16, -3/8, 3/16, 3/8, 5/16, 11/16, 3/16, -3/8, -3/16, -9/16, 3/16, 3/8, 
  -9/8, -9/8, 0, 27/16, -9/8, -9/16, -15/16, 9/8, -7/32, 5/16, -3/32, -7/16, 
  -5/8, 7/32, -11/16, -1/4, -3/8, -1/16, 3/4, -3/4, 9/8, 13/16, 17/16, -9/8, 
  7/32, 3/16, -5/16, -3/16, 3/32, 25/16, -5/8, -37/16, 7/16, -3/16, 13/16, 1, 
  5/4, -19/32, 7/32, -21/32, -5/16, 23/32, 55/32, 11/16, 21/16, -63/16, 
  -11/8, 5/32, 1/32, -1/2, 49/16, 1/4, 1/12, 3/16, 5/48, -3/16, -3/16, -3/16, 
  1/12, -7/16, 3/8, 5/48, -3/16, 3/8, 1/4, -3/16, 11/16, 1/2, -3/8, -3/32, 
  -1/12, 1/16, 3/8, 1/12, 9/32, 7/16, -3/16, 1/6, 5/24, -1/8, 1/6, -7/8, 
  1/32, 5/24, 109/48, -3/2, 7/16, -15/8, 5/8, -15/16, -3/16, 9/16, -1/4, 
  1/32, 7/16, 1/8, -3/16, -1/16, -3/16, 3/16, 5/16, 1/32, 45/32, 19/16, 
  -5/32, -1/4, -7/16, -7/4, -67/16, -9/16, 1, -27/32, -15/16, 1/8, 29/8, 7/8, 
  1/32, 17/16, -21/16, 9/16, 3/16, -21/16, 15/16, -7/16, 3/8, -17/16, 3/4, 
  -1/2, 1, 5/16, -217/24, 779/48, 31121/1920, -1291/240, -22511/1920, 
  -953/80, -301/960, -4487/200, -4273/960, -575191/19200, -3679/320, 
  -6643/1920, 137713/9600, 6631/960, -2419/480, -9409/1280, 301/160, 
  168691/6400, -102779/12800, 2707/120, -1379171/38400, 65/96, 3383/480, 
  22471/6400, 9899/960, -709/120, 127589/1280, -16019/600, -120773/1920, 
  -399221/3840, -30887/1920, -7117/480, 49313/9600, -14063/1920, 22893/1600, 
  7967/960, 4231/320, 25861/1920, 1/16, 8323/192, 41611/28800, -91913/3840, 
  -8383/192, -451/320, -2347/240, 45437/19200, -195/128, 501833/19200, 
  -215/48, -11137/640, 380557/38400, 1015/384, 1039/160, -310987/7680, 
  10639/19200, 143633/7680, 174047/3840, 30067/7680, -451/320, -984109/38400, 
  505589/38400, -5069/480, 27707/960, -175/96, 25687/1920, -195063/12800, 
  -7609/320, 21/32, -311087/3840, 785923/28800, 106273/1920, 162697/1920, 
  28667/1920, -3/8, -3/8, 5/32, 17/32, -5/32, 5/32, -3/16, 11/32, -5/32, 3/8, 
  -11/32, -3/16, -3/16, -3/8, 3/16, -1/16, 13/32, 13/32, -5/32, 5/32, 1/4, 
  -13/32, 9/16, -1, -15/32, 1/8, -27/32, -3/32, 5/32, -1/32, -5/32, -1/4, 
  -15/32, -1/32, -3/32, -3/16, 3/8, -3/16, 3/8, -3/8, -3/16, -1/8, -5/16, 
  3/16, 3/4, -3/8, 0, 3/16, 0, 3/16, 0, -3/4, -7/16, 3/16, 0, 0, -3/8, 
  -15/16, -1/4, -3/16, 1/16, 13/16, 3/4, 3/4, -5/16, -11/16, -9/16, -1/8, 
  1/4, 0, -1/12, -17/48, -7/12, -1/12, 7/48, 5/48, -3/8, 1/8, 3/16, -27/64, 
  -5/16, 27/64, 1/6, -1/2, -11/8, 7/48, -3/8, 3/8, -1/12, 5/8, -31/24, 
  -23/24, -5/8, 0, -3/8, -1/12, 1/4, 7/12, 5/12, 1/4, 31/32, 1/3, 15/32, 1/4, 
  -19/16, -23/16, 1/4, 0, 3/16, -11/16, -1/4, -1/16, 1/4, 1/16, -3/4, -7/8, 
  -3/8, 13/16, 1/16, 5/8, -11/16, 0, 1, -3/4, -1, 13/16, -3/16, -5/8, 1, 
  -9/16, -7/16, 13/8, 5/4, 49/16, 43/16, 1/16, 3/16, -19/4, -79/16, -3/2, 
  59/16, 1/16, 5/8, -11/16, -1/16, 11/2, 61/16, 3/8, 13/16, -3/16, -65/16, 1, 
  1/16, 59/32, 2, 35/16, 163/32, 29/16, 5/8, 3/16, -71/32, -3/2, -19/32, 
  -53/32, -71/32, 53/32, 9/32, -3/32, -7/16, -1/4, -9/16, -33/128, -13/32, 
  33/128, -1/64, 13/32, 1/64, 3/128, -41/128, -41/64, 3/2, 285/128, 45/128, 
  9/32, -7/64, 15/64, 37/64, -151/128, -89/128, 0, 3/8, -9/32, 0, -3/16, 
  -205/256, -7/32, -133/128, 53/256, 9/64, 125/128, 7/64, -5/128, -115/256, 
  3/32, -455/256, -225/128, 89/128, 73/64, 9/16, 123/64, 9/8, 95/128, 
  -59/256, -13/64, -11/128, -11/16, 173/256, -61/128, -95/256, 1/8, 5/32, 
  95/256, 33/128, 3/64, -33/128, -3/64, 43/128, 7/128, 9/32, 13/16, 15/64, 
  7/32, -5/32, -65/128, -3/64, -13/128, 33/64, -5/64, 17/64, -1/32, -287/128, 
  3/16, 19/16, 123/64, 1/8, -9/64, 3/8, -175/128, -3/16, 1/16, 5/24, -5/96, 
  3/32, -3/16, -23/96, 3/32, -5/16, -19/48, 103/192, 3/8, 23/96, 1/4, 19/128, 
  -3/16, -19/128, 1/12, 5/48, -9/64, -3/32, 5/96, 1/16, -151/192, 37/48, 
  -3/64, 215/384, -3/64, -35/128, -47/256, -3/32, -19/128, -1/8, -3/32, 1/12, 
  -5/12, 23/96, 5/48, 7/16, -21/64, 3/16, -3/32, 1/6, -5/16, 5/96, 1/16, 
  9/32, 105/256, -17/64, -257/384, 9/64, -3/64, -15/32, -7/128, -3/64, 
  -55/128, -43/256, 1/256, 3/16, 5/24, 67/192, -13/48, -11/24, -1/8, -43/96, 
  3/64, 1, -9/16, 5/32, -7/16, -1/12, -37/96, 45/256, -5/48, 245/384, 1/8, 
  13/48, 13/192, -145/192, -7/96, -49/96, -21/128, -11/64, 131/192, -3/256, 
  3/8, -1/64, 13/64, -3/64, 9/32, 7/32, -21/64, 5/64, 3/64, -3/8, -5/64, 
  21/32, 13/32, 1/4, 1/16, -5/16, -1/4, -3/32, 3/32, 1/32, 1/32, 5/64, 5/64, 
  -1/4, -1/4, 7/16, 13/32, -5/64, 5/64, 21/64, -7/16, -5/64, 0, 0, 15/32, 
  15/32, 1/4, 1/4, -15/32, -1/4, 1/32, 105/128, 35/128, -7/64, -35/128, 
  -3/64, -159/128, -93/64, 5/16, 61/64, 3/64, 1/32, 167/128, -95/128, -1/8, 
  -1/32, -45/64, -15/64, -19/64, 27/128, 15/128, 73/128, -71/128, 13/128, 
  -3/128, 19/128, -9/128, -643369/38400, -21523/9600, 79/40, 697673/25600, 
  -80951/3200, 5369/240, 472923/25600, 13/192, -811/960, 782849/38400, 
  -5917/200, -1159/160, -44363/2400, -52063/1920, -971/80, 79943/9600, 
  7963/480, 689/80, 37541/15360, -1067821/15360, 47193/1280, -1553803/7680, 
  1351583/7680, 54137/240, -77603/1280, -4217/3072, 531251/7680, -28227/5120, 
  83203/25600, -64721/25600, 45437/38400, -471/320, -143059/38400, 
  550807/25600, -177/128, 166787/25600, -209/48, 3/16, -738229/76800, 
  25557/2560, -21791/3840, 102913/25600, 5873/768, -27/64, 4093/640, 143/12, 
  17/64, -427/15360, 14970299/1152000, -1973591/288000, 54667/5120, 
  -32569741/1152000, -13865/1536, 500847/5120, -2866967/192000, -246613/3072, 
  -251299/2560, 121297/7680, 653507/230400, -158687/15360, -71589/5120, 
  9409/5120, 232609/76800, -1723249/76800, 242689/38400, -471/320, 
  -1714307/76800, 2334433/76800, -10003/960, 3887/640, -173/192, 3/16, 
  490857/25600, 520571/38400, 37811/3840, -1699003/76800, -17641/1920, 
  -27/64, -12881/640, -2523/320, 17/64, -63847/15360, 9914233/1152000, 
  4506929/144000, -119663/5120, 5403537/128000, 97133/3840, 614281/15360, 
  201643/576000, 27923/1024, -276817/7680, 133769/5120, 4589/76800, 
  184967/7680, -349013/15360, 9409/2560, 10379/3840, -6697/3200, 45437/38400, 
  -375/128, 95207/4800, -403/96, -876469/38400, 463369/38400, -16991/3840, 
  114083/76800, 9/16, 7537/480, -122423/19200, -13667/640, -2703/320, 
  131/640, -15106103/576000, -12519419/1152000, 40807/3840, -1210051/1152000, 
  -371/192, -306323/15360, 5855387/128000, 171443/15360, -1713/512, 
  150069/5120, -2386141/230400, -343859/15360, -213007/5120, -86441/15360, 
  1/32, 1/32, -1/32, -1/32, 3/32, 3/32, -5/32, -1/8, 1/32, -3/16, -3/32, 1/8, 
  3/32, -17/64, 7/64, 3/8, 17/64, 17/64, -1/32, -33/64, -7/64, 19/64, -5/32, 
  -3/16, -1/32, -1/16, 1/2, 1/32, 11/64, -5/16, -7/64, 1/16, 35/32, -3/16, 
  7/32, -11/8, -17/64, -11/64, -35/64, 1/4, 7/64, -13/64, 0, 9/64, 1/8, 
  -13/32, 5/32, -7/64, -3/32, 1/32, -5/16, -1/2, -3/16, -1/16, 11/32, 13/32, 
  3/64, 3/64, 1/16, 21/32, 35/64, -3/16, -37/64, -3/64, -11/64, -15/32, 
  11/64, 7/64, -21/64, -21/64, 0, 11/64, 11/64, 11/32, 3/32, -1/64, 7/32, 
  -5/32, -3/64, 1/32, 19/64, -1/32, -1/4, 19/64, -3/64, -1/2, 1/64, -3/16, 
  -3/8, 7/64, 3/16, -13/64, 1/2, 3/16, 13/64, -1/4, 27/64, -23/16, 1/32, 
  5/16, -1/16, -31/64, -3/16, -3/64, -17/128, -23/128, 1/64, 3/32, 1/32, 
  -1/64, 0, -3/32, -1/64, -13/64, -1/64, 1/8, 13/64, 3/32, -3/32, -3/32, 
  17/128, 17/128, 1/16, 1/16, 5/32, 5/32, 11/32, 27/128, -1/16, 1/64, -9/64, 
  -11/32, -1/64, 0, 0, -21/128, -21/128, -5/32, -5/32, 21/128, 5/32, 0, 0, 0, 
  -3/32, -119/256, -23/128, 119/256, 35/128, 13/128, -1/8, -89/256, -3/128, 
  3/32, 9/32, 41/128, -3/32, 15/32, 121/128, -1/8, 67/128, 19/128, -5/128, 
  -133/128, -175/256, -205/256, 75/128, 45/256, 5/16, -5/256, 63/256, 0, 
  -3/8, -3/16, 25/32, 65/96, 3/32, 3/32, -9/64, 3/16, -7/8, 41/192, 9/64, 
  3/8, -3/8, -3/8, -15/64, -3/16, 3/64, 1/12, -3/256, 1/96, 27/64, 1/8, 1/32, 
  265/384, 23/96, 13/96, -3017/256, 1/12, -13/64, -105/256, -59/192, -23/64, 
  -19/96, 1/12, 3/256, 1/96, 33/64, 9/16, 1/32, 317/384, 77/96, 13/96, 
  8987/768, 59/64, -87/128, -7/96, -115/64, 43/64, -179/96, -55/128, 479/192, 
  269/192, -5/8, -9/256, 15/64, 73/128, -3/16, -3/8, -1/8, 5/8, 3/4, 25/48, 
  5/16, 3/16, 3/64, -39/64, -21/64, 1/6, -57/64, 253/192, 319/192, -9/64, 
  -33/64, 2, -3/16, 3/16, -11/16, 13/64, 11/64, 3/32, 15/64, -15/64, 5/2, -1, 
  11/2, 123/32, 7/64, -1/2, 7/16, -5/64, 0, -1/64, 0, 11/8, -319/64, -283/32, 
  -27/16, -3/32, 3/32, 17/64, 247/64, -3/16, 7/16, 1, 39/64, 59/64, 51/64, 
  41/16, -15/32, 5/32, -71/64, 7/64, -155/64, -41/32, -5/64, -3/2, -4, 
  -27/32, -17/4, -25/32, 57/64, 51/16, 7/2, -43/64, 21/16, 161/32, 65/32, 
  -241/64, -21/16, -5/32, 5/32, 7/4, 4, 21/32, 17/4, 35/32, 1/32, -35/16, 
  -25/16, -5/16, -1/16, 3/16, 9/64, -5/64, -21/16, -35/64, -3/64, -3/64, 
  -7/32, -9/32, -11/64, -39/16, 3/32, 5/64, 1/64, -5/64, -1/64, -1/64, 7/128, 
  -1/64, 9/32, 7/64, 55/128, 1/32, 5/32, 3/256, 13/64, -17/256, -15/64, 
  -5/128, -11/128, 33/128, 33/128, 13/128, 33/128, 1/64, 7/64, 79/256, 
  43/256, -1/8, 3/32, 13/64, -11/128, -37/64, -163/256, 11/128, -9/128, 
  -21/128, 17/64, 3/32, -143/256, 19/256, -3/64, 143/256, -3/16, -3/32, 3/16, 
  1/32, 5/48, 5/192, -1/32, -23/192, -35/192, -5/64, -1/8, -13/48, 5/24, 
  7/24, -1/16, 3/32, 5/48, -1/16, -3/256, -1/24, -133/384, 29/128, -13/192, 
  455/768, 5/64, 13/64, 9/256, 19/64, -91/192, -53/96, -15/64, -43/192, 
  -1/32, -1/4, 3/64, -9/32, -21/128, -5/64, 17/128, 39/256, 9/64, 67/256, 
  11/128, -5/256, 13/128, 13/128, -1/16, -1/16, -3/64, -3/64, 21/128, 1/16, 
  3/64, 7/64, 0, 3/64, 1/64, -19/128, -3/64, 0, -1/64, 31/128, 31/128, 5/64, 
  5/64, -1/64, -33/128, -1/64, -3/32, 1/64, 1/64, -1/32, -1/32, 1/32, 
  81603/25600, -64721/25600, 45437/38400, 10019/3840, 95677/38400, 
  549207/25600, -353/128, 586601/76800, -821/192, -73/384, -231479/15360, 
  25557/2560, -500123/25600, -61313/76800, -17171/3840, -1731/12800, 43/32, 
  2191/160, 9041/4800, 79/10, -433259/38400, -43423/3840, -4191/320, 
  -5749/640, 27/40, -2559817/384000, -4628737/576000, 111/640, 
  -16558553/576000, -6528281/230400, 41947/3840, 25462349/1152000, -413/192, 
  -1097/256, 11512559/1152000, 1196279/72000, -50563/3072, 15385889/384000, 
  14987/3072, -3639/256, -5948137/192000, 6127/192, 3529/192, -4373/15360, 
  971827/144000, -1827037/144000, -12959/640, -20261797/576000, 150433/15360, 
  -56019/1280, -560619/16000, 266967/5120, 176087/3840, -118897/7680, 
  -9727/76800, -14861/2560, 40099/2560, -9409/5120, 1/32, 1/32, -1/32, -1/32, 
  3/32, 3/32, -11/64, -9/64, -1/64, 1/64, -15/64, -9/64, -3/64, 3/32, 1/64, 
  9/64, 3/64, 5/16, 5/16, 3/32, -7/32, -5/16, -3/32, -3/32, 1/32, -43/64, 
  -25/64, -7/64, 19/64, 3/32, -1/64, 31/64, 3/32, -1/64, 1/16, -1/64, -5/64, 
  0, 0, -7/32, -5/64, 0, 5/64, 1/64, 1/64, 1/64, 1/64, 3/64, 3/64, 3/64, 
  1/32, -1/64, -3/64, -3/64, 3/32, 67/256, 43/256, 3/128, 3/128, -1/32, 
  -1/32, -3/8, -115/256, -3/128, 1/64, 3/64, 9/32, -1/64, 0, 0, -7/256, 
  -7/256, 1/32, 1/32, 7/256, -1/32, 0, 0, 0, -3/16, -3/8, -3/32, -3/8, -3/32, 
  1/24, 11/96, -3/128, -5/192, 101/192, 25/48, 3/64, 287/384, 143/192, 1/16, 
  13/192, 1/16, 15/64, -3/64, -3/8, 9019/768, -17/192, -31/64, -5/192, 
  -59/48, 29/64, -47/48, -39/256, 77/48, 269/384, -3/64, 3/8, 5/24, 13/128, 
  9/64, -13/192, 1/32, 1/32, 3/32, -1/32, -3/32, 5/8, 5/2, 57/64, 5, 13/64, 
  79/32, 3/32, 5/32, -9/4, 7/64, -307/64, -39/16, -1/4, -13/64, 3/64, 1/64, 
  -1/64, 1/64, -45/64, -415/64, -49/64, -473/64, -31/64, -5/32, 311/64, 
  347/64, 5/32, -3/32, 3/32, -11/64, 5/64, 45/64, 353/64, 87/64, -3, 3/32, 
  -3/32, -1, -1/4, 3/2, 1/2, 9/2, 1, -3/4, 3/16, -3/2, -17/8, 1/4, 7/12, -1, 
  -1, 3/2, 5/12, 5/12, 5/2, -5/6, -81/4, -295/24, -17/24, -1/2, -11/12, 2, 
  -1, 1, -173/96, -131/12, 107/48, -1/2, 1/4, -3/4, 1/2, 7/4, 1/2, 33/16, 
  1/2, -1/4, 1/4, 1, 7/12, 7/12, -1, 467/48, -7/2, 2/3, -13/32, -19/32, 1, 
  5/2, -1/12, 1/2, -2, -3/2, -5, -5/6, 109/3, -81/4, 17/8, -613/12, 202/3, 
  -23/32, 93/32, 3/2, 1, 29/8, -223/48, 13/6, 131/12, -117/16, -155/48, 
  543/32, 1, 33/16, -9/8, -39/8, 1/2, -14, 1, -3/2, -2, -1, 1, -2, -3, 1/4, 
  -1/2, -1, 1/4, 5/4, 1/4, -1/8, 1/8, 1/4, -1/4, -3/32, 9/32, 1/16, -1/16, 
  7/48, 1/4, 1, 7/4, 1/4, 5/48, 1/4, -1/4, 41/8, 2, -17/32, -17/48, -3/2, 
  -1/2, 1/2, 3/2, 87/8, 21/16, -99/32, 7/16, -17/32, -7/8, 3/8, -1/8, 47/12, 
  5/4, -3/32, 3/32, -3/32, 165/64, 3, -69/64, -1/6, -13/8, 13/24, 3/8, -3/8, 
  -1/8, 1/8, 1/8, 1/8, 1/8, 1, 7/16, -57/8, -1, -1/16, -3/4, 0, 51/8, -3/4, 
  -1/8, 51/16, -2, -13/4, -55/16, -17/24, -3/2, 5/4, 0, -1/8, -3/8, 27/64, 
  -3/8, -39/64, 63/32, 27/64, 87/64, 123/64, 57/16, -21/64, 1, -7/2, 1, 
  -183/64, -3, 87/64, -199/64, -145/32, 19/32, 7/12, 9/16, 1/2, -1/2, 1/2, 
  1/2, -1/2, -1/4, 1/4, 5/4, -11/4, -1/4, 5/2, 135611/5760, 158441/5760, 
  -163991/5760, -66787/5760, 8191/320, -1, -39/32, 1/8, -2502379/34560, -3/8, 
  1/16, 405/128, 5/16, -1, 365/128, 3/4, 3/8, -1/2, -7/48, 7/12, 7/48, 29/48, 
  5/16, 29/48, 11/8, 11/24, 5/16, -11/8, 3/4, 437/384, -43/48, -1/2, -5/4, 
  -2081737/34560, 164941/3456, -18469/11520, 121271/11520, -166691/11520, 
  -21307/11520, 32843/1920, 25/16, 1351607/34560, 3641/7680, -260519/34560, 
  -1185299/34560, 649769/34560, 71777/34560, 1736953/69120, -126499/69120, 
  2593099/69120, 262853/8640, -277601/69120, -117131/11520, -126499/69120, 
  -15/64, -2488339/69120, -3/8, 2517859/17280, -2457139/23040, 10913/540, 
  375/128, -591/128, 375/128, 591/128, 643/128, -623/128, -27/16, -1, -31/8, 
  1/4, 1, 3/4, 1183/128, -41/12, -19/4, -1175/128, -3/4, 862439/5760, 
  879029/5760, -1/2, -867989/5760, 37/16, 3/8, 5/48, -37/16, 269/192, 
  -269/192, -317/192, 221/192, 413/192, 197/384, -79/384, 65/64, -211/384, 
  155/6, -11/2, -58/3, -251/12, 85/96, -17/32, 103/32, -14/3, -11/4, 7/4, 
  -1081/24, 353/24, -563/16, 89/64, -3595/192, 401/16, 1145/64, 1931/96, 
  -36715/384, 359/12, 18585/128, 951/4, -2609/192, 8353/64, -355/24, 
  -32659/192, -7921/48, -1/4, 1/2, -1/4, 41/96, -25/96, -89/48, 41/96, 19/48, 
  -79/96, -161/96, 115/64, -7/8, -163/48, 1/4, -3/4, 15/4, -13/4, -425/96, 
  83/96, 7/2, 17/12, -379/96, -25/6, -109/96, 3/2, -7/4, 3/4, -1, -7/4, 3/4, 
  1, -7/2, -3/4, -3/2, 5, 5/2, -4, -25/4, 225/16, -131/12, 131/8, -131/48, 
  -1/4, -85/8, 1/4, 11, 17/3, 653/96, -551/32, -1927/96, 671/12, -45/32, 
  125/24, 7399/192, 2519/192, -5507/96, -1011/64, -659/192, -425/96, -599/48, 
  -341/48, -269/24, 7/2, -4979/960, 2213/96, 33/16, -21/32, 3/8, 155427/5120, 
  -55/48, -199403/5120, 578129/7680, -4367/1200, -11399/1600, 1319/120, 
  -2639707/19200, 4147/1600, 10949/800, 451/160, 2363727/25600, 
  -1271131/5120, -3/2, 17/8, 209/24, -105/8, -25/8, 27/4, 283/48, -1/2, 
  16801/9600, 38723/1600, 4817/240, -3259247/38400, 3/2, 1, -19/12, 233/96, 
  -79/64, -1/16, -55/32, 22001/3200, 117069/1600, 9419/160, 5801/9600, 
  10439/480, -465979/7680, -47/64, 1, 3/2, -7/4, 2, -3/2, 3/8, 23/4, 11/8, 
  -3/8, -1, 1, -3, -45/8, 11/4, 15/8, 39/8, -11/4, 1/2, -1/2, 1/4, 1/4, 
  23/16, -1/4, 1/4, -11/8, -1, 1, -3/8, 1/2, -9/8, -1/2, -11/8, -3/4, 3/4, 
  -3/8, 11/8, 3/2, -7/8, -3/4, -11/8, -1, 3/16, -67/144, 89/72, -835/144, 
  5/4, -1, 3/4, 27/8, 3/2, -165/256, -165/64, -17/144, -65/144, 145/288, 
  47/96, 21/16, -211/288, 133/192, -127/288, -85/576, -7/144, -89/384, 
  107/1152, 25/32, -2621/1152, 395/288, 47/96, -679/1152, 1073/384, 107/288, 
  -1/8, 0, 1/16, -3/16, -5/32, 47/16, 7/16, -21/8, -5/32, 1/8, 1/8, -7/8, 
  17/16, -23/8, -15/32, 13/16, -1/8, 149/32, -7/8, 5/4, -15/16, 15/32, -9/8, 
  3/16, 5/32, -181/96, -1/4, -73/24, -5/16, 19/16, -121/48, -19/8, -45/16, 
  -27/32, 155/48, 19/8, 47/16, -27/16, -383/288, 2729/576, 245/144, 
  106361/28800, 18971/960, 383/144, 36247/1440, 869821/57600, -13079/480, 
  -240223/1440, -10339/180, 541/160, -65611/28800, -10093/480, -67123/2880, 
  865/48, -2317/320, -1729/320, 457/360, 99/64, 576791/5760, -317047/19200, 
  -505033/5760, 355481/5760, 76777/1440, -15/16, 0, 3/8, -3/8, 147/32, 1/16, 
  -269/64, -147/32, 111/64, -3/16, -53/32, -111/64, 1/2, -35/32, 19/32, -9/4, 
  -3/16, 113/64, 3/2, -109/64, 3/4, 25/16, -271/64, -57/16, -9/16, -17/16, 
  17/16, 9/16, 1, 17/16, 9/16, 1/2, -3/8, -1/2, -9/8, -5/16, -3/4, 0, -3/8, 
  9/8, -31/16, -3/8, 31/16, -13/32, 1/8, 11/16, -1/8, -9/32, 7/16, 5/16, 
  -1/4, 1/32, -15/16, -15/32, -573/256, 39/64, -3/16, 21/128, 9/64, 555/256, 
  -21/128, -3/8, -159/128, -9/8, 9/8, -249/128, -33/16, 9/128, 693/256, 
  69/32, -3/16, -9155/192, -499/128, 93/32, 11/8, 593/64, -3/2, 119/48, 
  -1/64, -277/48, -29/16, 213/128, -55/256, -51/64, -9/32, 7/32, -15/64, 
  -3/4, -9/64, -55/96, -1321/256, -613/192, -2, 81/64, 129/32, -63/64, 
  -489/256, -39/64, 7/16, -7/16, -3/16, 1/4, 3/16, 19/16, -13/8, 5/16, 
  119/32, -1/8, 43/16, 9/16, -173/32, 3/2, 13/32, -1/4, -19/16, 1/4, 25/32, 
  -43/16, -13/4, 13/8, 1/8, -9/16, -1/16, 9/16, -29/16, -31/32, -3/16, -1/48, 
  19/96, 849673/69120, 1303289/69120, -919259/17280, -21007/1536, 
  942841/34560, 6665/256, -2467279/69120, 2583919/69120, -2519119/69120, 
  -1/8, 2456479/69120, -19/64, -1/16, -267/128, 1/4, 1/4, 313/128, -9/32, 
  -505/256, -1/16, 671/384, -11/16, 3/16, -389/768, -13/96, -7/96, -19/128, 
  -19/384, 19/96, -49/384, 3/32, -95/96, -3/32, 19/24, -9/128, -101/384, 
  533/384, 1/24, -11/384, 9031/576, -4993/384, -9599/1152, -65431/720, 
  2097823/51840, 718963/8640, 2701069/34560, -5470291/34560, 431911/5760, 
  2037443/13824, -26112959/622080, -1168799/34560, -40043/3072, 
  32619881/414720, 3689213/69120, 395329/7680, -165911/8640, 1840307/27648, 
  -11786119/155520, -3301121/69120, 590681/15360, -1168799/34560, 
  116789/2880, 1000021/57600, -5215253/138240, -30494621/230400, 
  -14434303/414720, 3689213/69120, -270953/11520, 4539703/69120, 
  -165911/8640, 5153083/27648, 616837/76800, 18648143/622080, -4866299/34560, 
  557333/27648, -1075/128, -18347/11520, -683507/57600, 45287/1920, -365/96, 
  688187/17280, 382037/11520, -29683/23040, -1394677/34560, -1161637/8640, 
  36432163/691200, 2580479/103680, -4614667/69120, -37123903/622080, 
  -2536399/138240, 2527759/138240, 1/16, 2508859/69120, -2472679/138240, 
  -2481319/138240, 2782469/23040, -8560081/69120, -256213/1728, 126499/69120, 
  77/192, 5674723/46080, -3393259/27648, -173/384, 3848923/69120, 25/384, 
  22801777/138240, 625/256, -293407/1920, -167539/138240, 77/192, 
  2532139/23040, 264473/17280, 4114801/23040, 347369/3456, -247361/138240, 
  -173/384, -2468989/34560, 5383567/138240, 25/384, 32875013/138240, 
  480301/8640, -754301/5760, -1554743/6912, -126499/138240, 1/4, 7/8, -13/16, 
  2546479/46080, -2912969/69120, -2497399/46080, 8682697/34560, 
  -8887669/69120, -515369/7680, 260231/34560, -3/16, -7/4, 31/16, 1/4, 15/8, 
  -1/16, -935/256, 267/128, 1167/256, 23/64, 3/16, 375/256, -9/32, -591/256, 
  5/32, 859/256, -405/256, 367/128, 3/16, 383/256, 615/256, -23/48, -131/256, 
  89/48, -9/32, -575/256, 91/96, 5/32, 851/256, -517/128, -85/128, -413/256, 
  313/128, -5/12, 43/32, -43/32, 5/3, -1/8, 29/32, 7/8, 11/8, -53/12, -5/4, 
  0, -149/128, 53/64, -335/128, 257/128, 5/8, -862919/23040, 25/48, 
  862919/5760, -7/12, 844559/23040, 857159/23040, 71/24, 173/192, 3/8, 
  854549/23040, -853829/23040, 7/32, -887069/23040, -29/48, 167/192, 
  473/1536, 880079/5760, 888239/23040, 3/8, 77/32, -846439/7680, 
  889589/23040, -216871/1920, -217031/5760, 7/32, -25/24, -851789/23040, 
  -29/48, -247/192, 3354251/23040, 213101/5760, 887219/5760, 4715/1536, 
  -1/12, 1045/768, -848519/23040, 29/24, -997/768, -53/32, -5/16, 
  -883859/7680, -649/768, 11/24, 111/256, 832199/23040, 1763/1536, 
  868279/7680, 493/384, -607/24, 69531/640, 38647/1920, 7/6, 11/16, 
  -52203/640, 1421/24, -1609889/6144, 362249/3840, 546571/2048, 
  -78643913/230400, -30933/1280, 11797517/15360, 1476521/3840, 79637/3072, 
  -33334763/230400, -567629/3840, -235879/1280, -209/8, -7910267/30720, 
  -42299009/460800, 235319/1280, 2422163/10240, -2533777/15360, 
  -21021187/230400, 277757/1920, 3300881/15360, 20853/320, -291/160, 
  -6250013/153600, -18700837/460800, 85/64, 209267/1280, -413/24, 
  -253671/5120, 115190771/230400, -218707/1280, -14782127/30720, 
  -199101/1280, 123873899/230400, -209601/1280, -18789739/15360, 
  -1000913/1280, -5/16, 5/16, 3/32, -307/192, -1/2, 5/16, 17/32, -15/16, 
  -3/4, -7/24, 7/16, 3/16, 1/4, -11/12, 1/12, -1/8, 7/192, 233/192, -131/192, 
  -11/96, 133/192, -17/48, -89/96, -7/6, -115/192, 9173/192, 69/64, 71/96, 
  -167/96, 427/192, 229/192, 329/96, -97/96, -113/64, 17/48, 77/96, -89/96, 
  439/384, 85/64, 749/192, 5/96, 173/96, 391/384, -581/192, -85/64, 41/12, 
  137/384, -121/48, -535/192, 17/48, 227/192, 641/384, 205/192, -25/96, 
  -59/32, -13/3, -509/384, -33/32, 689/384, 11/12, -251/128, -1/32, -19/16, 
  -23/16, 23/16, -5/16, -1, 1/2, 1/8, -7/16, 1/16, -1/4, -3/16, -5/4, 5/16, 
  3/32, 31/32, 3/2, 33/16, 109/32, -49/32, 2, -7/32, -1/4, -5/32, -25/16, 
  -3/16, -45/32, 17/16, 2751503/80000, -108545527/3120000, 50191/800, 
  630737/9600, -143/12, -65093/19200, 69129/6400, 149603/6400, -626591/4800, 
  -491/48, 287/24, 131/96, -131/96, 673/960, -57995/768, -101209/1280, 
  123977/3200, 749003/3200, 120879/3200, 30619/960, 30693/256, -1513073/4800, 
  -4343/240, 67/12, 370691/1800, -263/24, -131/48, 768069/12800, 
  2244161/7680, 1113409/19200, -991511/19200, -6772233/12800, -81967/512, 
  -1272369/6400, -9495643/38400, 4423223/6400, 4915607/38400, 3899143/19200, 
  -698639/28800, -26944741/57600, -609063/3200, -23567/3840, -14927/9600, 
  6099/3200, 6449/960, 57463/12000, 1813247/240000, 69834653/6240000, 
  28529/4800, -12023/480, -99/3200, -142893/32000, 448709983/9984000, 
  -42819/6400, 624851/480000, -441786703/9984000, 97499/80000, 
  -235792083/16640000, -620209/6400, -1455940547/9984000, 62912329/520000, 
  297571/96000, 19092779/998400, 20491/960, 262967/60000, 17181641/998400, 
  -11218009/480000, -755062531/12480000, -138645449/1248000, 
  110809337/1920000, 176341487/1560000, -126050841/832000, -1852907/28800, 
  -1298880737/4992000, -437626333/1248000, -1127/9600, 10299/3200, 6869/960, 
  603577/96000, -749320609/9984000, -1565503/480000, 1794577069/16640000, 
  -3121/1200, -20716533/51200, 907/120, -406558157/3328000, -7/32, -1/16, 
  -469/96, -815/96, -1685/288, -845/192, -4613/160, -931/432, 9213637/172800, 
  7097/240, 4165/864, -21061/8640, -707/192, -7439651/172800, -193669/4320, 
  -6237493/86400, -66127/57600, 137767/172800, 607/864, 998401/69120, 
  157/128, -9926437/345600, -188869/8640, -16639/1728, -61627/8640, 161/48, 
  -649/384, -100819/115200, 36803/1080, 11851697/172800, -108813181/1248000, 
  -107038681/1248000, 47/48, 36500727/416000, 109313681/1248000, 3/16, 3/16, 
  -3/16, -81/64, -81/64, -13/32, -1/32, 81/64, 7/32, -5/16, 29/96, 
  -108637681/624000, 55/24, 7467/6400, 263233069/832000, 1399/160, 
  -860596141/4992000, 10067/3200, 5061/320, 145628273/624000, -30301/19200, 
  111623401/1248000, -108900931/624000, -105079/19200, -54236243/156000, 
  9769/960, -31901/19200, 159007137/832000, 79345801/4992000, -7489/960, 
  401275477/2496000, 47/48, -15/8, -78617801/4992000, -396413477/2496000, 
  43/48, -73045699/624000, 3/16, 1623/400, -48346801/1248000, 13067/320, 
  -6567/6400, -3691667/39000, -3033/320, 1100549/25600, 17167/6400, 
  116969/3200, 1159/160, 444217471/2496000, 18479581/156000, -2, -1/4, 3, 
  31/32, 21/32, 45/64, 5/32, -45/64, 3/4, 273/32, -5, -29/32, -43/8, -3/16, 
  63/32, -63/16, 7/8, -5/16, 263/16, 1/2, 37/8, -135/16, -149/16, 135/16, 
  75/16, 21/32, 3/2, -7/32, -3/8, 39/2, -123/16, -1187/64, -33/16, 863/64, 
  1/6, 4/9, 35/48, 3/16, -11/36, -7/48, 55/48, -11/36, 19/24, 7/16, 3/4, 
  -1/16, -59/144, -11/16, -5/4, 13/48, -7/9, -103/36, 107/96, 3/8, -5/8, 1/4, 
  3/16, -27/64, -19/32, 27/64, 13/32, 27/64, 21/64, 3/16, 9/16, 11/16, 
  -145/32, -59/64, 15/16, 3/16, -27/16, 107/64, 15/16, -9/16, 259/64, 17/16, 
  -7/8, -5/8, -31/64, -3/4, 31/64, 11/8, 15/8, -79/16, -63/64, 43/16, -49/64, 
  -9/32, -15/64, -67/32, -19/32, 1/8, -1/16, 17/16, -1/8, -1/8, -13/16, 
  17/16, -3061/192, 62863/1920, 293/32, 20981/576, -2059/96, -3/16, 1/8, 
  5/16, 1/12, -13712759/115200, -19/48, 13890359/115200, 1/4, 77/64, 25/32, 
  45/64, -25/288, -1/144, 209/768, -63/128, -1975/2304, 53/1152, 17/1152, 
  37/96, -3023/1152, -1601/576, 713/384, 379/384, 29/96, 97/128, 2053/1152, 
  785/1152, -311/576, -13/384, 145/1152, 485/288, -1109/1152, -145/192, 
  71/576, -265/1152, 1423/1152, 19/128, 1/8, -703/768, -287/384, -955/384, 
  -1457/768, 1/8, 35/128, -3/32, 3/8, -1129/384, -1087/768, -71/32, 1859/768, 
  61/128, -13/16, 709/384, 327/128, 13/32, -1/4, 37/48, 31/48, -155/128, 
  121/256, 27/32, 359/128, 145/384, -381/256, -323/128, 5/256, 97/128, -1/16, 
  -5/256, -46637/38400, 711/160, -345787/57600, -20621/960, -60713/2880, 
  3415/192, 1/2, -22883/23040, -4093/720, 5220883/230400, 20197/2880, 25/32, 
  1677/320, 27083/1920, -225/64, 1141/1440, -29429/3600, 4293/40, 
  764213/76800, -42767/480, -2401/288, 2614831/115200, -1741/7680, 
  -304897/1920, -115589/2304, -4927891/115200, 1429991/23040, -91561/11520, 
  -41/36, -39/64, -3/64, -3/16, 13/32, 3/64, 11/64, 13/64, 1/64, -5/16, 
  127/128, -5/64, 59/64, -61/128, -37/64, 5/16, -79/128, -21/32, 7/64, 1/4, 
  5/16, -19/64, 17/64, 41/64, -633/128, -363/64, -91/128, 629/128, -47/32, 
  -17/32, 3/32, 99/64, -13/64, 11/64, -9/32, -153/256, -11/64, 35/128, 
  205/256, 1/128, -111/256, -7/128, 43/64, 15/16, -1, 1/128, 9/256, -1, 
  -1/128, 37/64, 1, 13/32, 323/256, 3/128, -101/256, 135/256, 37/64, -1/4, 
  -283/256, -27/64, -11/16, 3/32, 27/64, -3/16, -3/2, -9/16, 21/64, 33/32, 
  -15/64, -9083/256, -239/128, 743/512, -1/32, 1373/512, -41/12, 175/64, 
  -5/64, -2483/384, -35/16, 3113/256, 333/128, 33/64, -9/32, -69/128, 
  451/384, -283/128, -969/256, -395/768, -21/128, -21/64, 3/32, 197/256, 
  -3/32, -1/12, -33/128, -77/384, 33/128, -7/64, 109/384, 7/64, -5/2, 
  -899/768, -87/32, 875/768, -9/128, 5/2, 1601/384, -9/64, 1/12, 31/384, 
  -21/128, -13/192, 1/12, 7/32, -53/192, 331/192, -1547/768, -1553/384, 
  17/96, 81/128, -17/64, 23/64, 3/32, -1/144, -27/128, 1/24, -1/24, -5/64, 
  1/192, 9/64, -97/288, 217/576, -3/64, 19/96, 5/72, 133/2304, -91/288, 
  21/128, -7/144, -211/768, 295/2304, -5/96, -505/2304, 19/384, -11/128, 
  -53/2304, -687073/17280, -328369/23040, -3113/384, 86926367/3456000, 
  -216574817/3456000, 15509/640, 448840591/10368000, -101/24, 6115919/69120, 
  59987/3200, 177253/69120, -100663433/1728000, -913883/13824, -151085/3456, 
  353069/69120, 55/9, 187716941/3456000, 248983783/1152000, -1164271/69120, 
  -6471750407/62208000, -436207/8640, 393803/5760, -82354901/432000, 
  -6796199/69120, -117233/1920, -14854607/138240, -14681543/829440, 
  -1042109/138240, 646603/7680, -187841/15360, -2477359/138240, 
  2808089/46080, -9/16, 1/8, 5501213/69120, -2843369/46080, 7/16, 
  -2843849/46080, -13/32, 2544679/46080, 21/16, 2531359/138240, 
  1040713/46080, 2785889/69120, -2525779/69120, -2443519/138240, 
  -2570239/138240, 11612141/69120, -81/256, 3740897/46080, -2153867/17280, 
  -278681/138240, 2527039/69120, -954211/69120, -2468381/23040, 
  -2485999/138240, -3677447/46080, 255101/69120, 93641/69120, 2304947/34560, 
  126499/138240, 5/32, -5/48, 683/384, 51/256, 19/96, -1171/768, 15/128, 
  -1/8, 43/192, -457/192, -241/384, -1/32, -23/192, -7/32, 101/64, -267/128, 
  5/24, -1167/512, -13/192, 13/64, -313/128, -1177/768, 1/64, -671/256, 
  267/128, 307/256, 245/128, -375/256, 3033/256, 15/64, -3/8, -9/32, -97/128, 
  23/128, -97/96, -77/256, 151/192, 301/384, -3033/256, -53/128, 3/8, 9/32, 
  265/256, -23/128, 97/96, 47/128, -415/192, -301/384, 23/128, -71/256, 
  -17/256, -9/32, 860039/23040, -1/16, 861059/23040, -857159/23040, 7/8, 
  -844139/23040, -33/64, 245/192, -859079/7680, 125/192, -425687/3840, 
  2225/1536, -5/192, 149/192, 7/32, -70167/1280, -857159/46080, 
  -430687/23040, 1688923/46080, 57779/2880, -109/96, 1712143/7680, 
  843229/7680, 1/6, 414427/23040, 878699/23040, 833/3072, -214111/1920, 
  -896759/46080, -100053/25600, 8791691/230400, 115637/38400, -241/160, 
  68645/1024, -19256731/230400, -127/32, 195421/7680, -607/48, 80981/3072, 
  5672729/76800, -35432393/92160, -2099541/10240, -24128651/921600, 
  -430141/7680, -7912187/30720, 180565861/460800, 6754193/61440, -80219/7680, 
  263771/30720, -68446297/1152000, -752133061/2304000, -1502207/7680, 
  446295581/2304000, -46127/3840, -4274537/20480, 6016921309/4608000, 
  -437017/6144, -44947241/61440, -133881/10240, 60810397/92160, 
  -1824169/7680, -10285273/10240, -2668633/7680, -3/16, 3/16, 5/64, 5/64, 
  -1/16, 9/64, 5/8, 21/64, -5/64, 9/64, -1/16, -33/64, -5/64, -1/8, 1/8, 
  15/32, 15/32, 3/8, 3/64, -15/32, -11/64, 21/32, -21/32, -91/128, -91/128, 
  3/64, 3/64, -103/256, 233/256, 91/128, -3/64, -3/32, -65/256, 3/64, 0, 0, 
  27/64, 27/64, -3/64, -3/64, -27/64, 3/64, 0, 0, 0, 9295/768, -233/768, 
  -17/192, 37/192, 41/48, 1, -9019/768, -703/768, 77/192, 7/96, 283/96, 
  -25/64, 191/192, 197/128, -175/96, -287/384, 1267/768, -55/192, 3/64, 
  -85/96, -77/384, -1001/768, -305/192, -241/384, -1/128, 17/96, 1/128, 1/8, 
  -7/128, 177/128, 121/128, 17/64, -7/64, 27/128, 9/4, -193/128, -25/64, 
  7/64, -1/64, -147/64, -71/128, 3/64, -1/8, -25/64, 7/128, 27/128, 237/128, 
  -273/128, -65/128, 73/128, 57/128, 3/32, 55/128, 2965/384, -38561/3840, 
  -23/12, -7597/960, 15449/3840, 7027/1920, 57871/3840, -69059/3840, 
  -29623/3840, -211529/76800, 2890499/76800, -45437/38400, 760069/12800, 
  10971/40, -2258857/76800, -991511/19200, -7888591/15360, -81935/512, 
  733/960, -1790677/25600, -103597/2560, -2475253/15360, -250771/2400, 
  51831413/76800, 14029/960, 100853/1600, 354229/25600, -1507/160, 
  -285533/76800, 36376879/384000, 702217/18000, 8988209/38400, 
  -161192083/1152000, -26145551/46080, -1752359/76800, -47576393/576000, 
  778843/9600, 424373/19200, -16399147/230400, 323701/76800, -134913/6400, 
  16239937/230400, -17747/7680, -8753/24000, 40982303/832000, 7103/1536, 
  -248081/240000, -56573329/2496000, 1392997/480000, 2953/384, 
  -1087372639/16640000, -645187/5120, -38439/8000, -1184052999/16640000, 
  -6423503/480000, -100837/6144, 1259339729/8320000, 1437645359/16640000, 
  -1787/240, 453739/32000, -371410883/1872000, -520374209/1152000, 
  -2539691/160000, -7182411871/14976000, 6644753/240000, 
  -2921451421/37440000, 8237651843/29952000, -24592314481/149760000, 
  -1219926811/149760000, 579245293/29952000, -17560003367/29952000, 
  -22265663/576000, -2378686537/9984000, -1793257/230400, 1029727/86400, 
  -553/2592, -58927/57600, -859421/32400, -1832399/1036800, 1035121/69120, 
  344737/25920, -9651037/345600, -4563/160, -25571/5184, -715/432, 
  -45017/3600, -1453309/115200, 20616601/518400, 14059/480, -731/864, 
  489133/51840, 11/8, 4553599/1036800, -240527/46080, 4974173/1036800, 
  -6867019/1036800, -1326779/1036800, -2533717/51840, -573319/259200, 
  5315891/103680, -3554909/38400, -15227047/1036800, -1/16, -1/16, 1/16, 
  1/16, -3/16, -3/16, 5/16, 1/4, -1/16, 3/8, 3/16, -1/4, -3/16, -5/64, -5/64, 
  5/64, 43/192, -35779227/416000, -108930181/624000, -7/96, 
  -107090681/1248000, 329/192, -1/24, 107461181/1248000, 253990589/832000, 
  -1/32, 329299543/2496000, -25/96, -5/16, -324015043/2496000, 
  -36071727/832000, 25/96, 22323/1600, -477261781/4992000, -20622941/133120, 
  2383/320, -163092301/384000, 43/64, -123132811/4992000, 172570351/1996800, 
  59790149/332800, -2660371/76800, 72675199/624000, 35901287/624000, 15/64, 
  -72041449/1248000, -133/32, 107/64, -5/16, 351/64, -107/64, 5/16, -85/64, 
  -3/16, 615/64, -17/8, 67/16, -147/32, -45/64, 13/32, -51/32, 19/64, -7/32, 
  1, -533/64, 165/64, 47/64, 507/64, -25/32, -301/64, 15, 97/32, -91/64, 
  -21/64, -283/64, 65/32, -259/64, -21/16, -19/864, 661/768, 3/8, 1561/3456, 
  -229/768, -31/128, -1/24, -701/1152, 3/128, 71/864, 1513/2304, -95/384, 
  1/16, -269/384, -1517/1152, -11/96, -83179/6912, 673/3456, -185/384, 
  -13/64, -845/2304, -275/1152, -423/256, 23921/6912, 6557/6912, 31/96, 
  -17/64, -139/256, 7/8, -111/128, 139/256, -3/2, 145/128, 5/8, 91/128, 
  -37/16, 59/64, -377/256, -17/128, -1/16, 9/4, 167/128, 1/16, 17/64, 
  259/128, 9/32, -17/128, -31/16, 107/128, -551/128, 613/256, 1077/256, 
  -89/128, -379/256, 3/8, -195/256, -669/256, -3/4, -1/8, -25/48, -11/96, 
  7/48, 5/96, -1015/64, -14094359/345600, 317/128, 62663/1920, 
  -13617359/172800, 135/16, 21053/576, -1063/384, 13574159/172800, -679/32, 
  -3001/256, -163/192, 25/192, 143/192, 7/64, 113/192, 25/32, -1/64, -3/32, 
  43/96, -5/48, 1/4, 207/16, -79/48, 17/24, 155/12, -17/4, 2, 47/8, -1/4, 
  -9/4, 1, -1/3, 91/24, -1/4, 15/32, -1/3, 1, -1/2, -1/2, 3/4, -1/2, -3/16, 
  -19/8, 21/16, 5/4, 19/12, 1/2, 3/8, 2, -97/24, -1, 16, 31/24, 2, -7/12, 
  -1/4, 1, 931/24, 1/4, -1, -1, 23/12, 1/2, -2, 41/8, 17/48, 1087/48, 
  -1471/192, -657/64, 347/24, 9/2, -71/8, -3, 73/48, -1/2, 79/2, 139/4, 
  -41/6, 29/3, -11/2, 1, 175/48, -1, -1, -3/4, -1/2, -23/12, -1/8, 19/8, 2, 
  103/48, 3/2, -4, 2, -1375/48, 547/48, 26/3, -19/3, -269/32, 1, -13/2, -16, 
  -3, 3, -9, -3, 93/32, -1, 2, 4, -1/4, 161/64, -77/16, 55/3, 51/8, 1, 17/32, 
  -147/32, -130162477/124800, -3/32, -2536615/6912, -276083/2160, 
  2519119/6912, 175/96, 1941/512, 9/512, 1685/512, 55/512, 201/512, 575/768, 
  233/96, 16010429/23040, -7069309/11520, -1642067/23040, -9431773/23040, 
  -84949/480, -817937/2880, 1738667/3840, 9012787/23040, -1179/64, -249/32, 
  477/64, 17/8, 39/8, -43/8, 1/8, 9/8, 3/2, -9/8, 1/2, 9/16, -9/16, -1/16, 
  -19/24, -3/8, -3373/192, 1067/384, 3/8, -2455/768, -1807/256, -637/48, 
  449/384, -1/4, 4635/256, 11617/256, -709/48, -2105/128, -387/64, -2695/384, 
  443/96, -2037/64, 313/192, -1/4, -3/8, 47/16, 3/4, -5/8, 15/8, -3/2, -1/8, 
  179/48, 107/48, 829/96, 45/4, -1/24, -49/24, -301/192, -53/192, 1747/192, 
  79/96, 5197/320, -1463/240, 12499/960, 69/4, -5231/192, 1631/160, 
  -20821321/66560, 130162477/499200, -135093203/1248000, -446581389/416000, 
  15/64, -20827561/16640, -27/64, 241213009/312000, 899079193/416000, 
  -1730162543/832000, -20821321/66560, 148810933/52000, 6726809669/2496000, 
  -18187081/52000, -3047/300, -120652173/166400, -37651/480, 
  -1177245367/2496000, 411417361/166400, -3/2, -3/2, -5/2, 5/4, -3/16, 9/32, 
  81/64, -117/64, 165/64, 51/16, -69/64, -1/64, -1/4, 1/4, 1/2, -11/8, 11/8, 
  -1/2, -19918273/92160, 273293/1280, -7/48, 89/96, -68677/2880, 2069/40, 
  -5905/288, 715/192, 5/4, -3/2, 6845287/11520, -211027/480, -127/96, -49/24, 
  -29/48, -11/48, -19987393/92160, 828599/3840, -4233151/8640, 
  13165843/69120, 339119/1080, 1634927/69120, -3639619/17280, 2071177/13824, 
  131987/432, -19275283/69120, -98767/1280, -6643/192, -70795303/230400, 
  -19883713/92160, 825239/3840, 3/8, -98767/640, -3651/64, -70062103/115200, 
  -1/2, 2629/768, -29/16, 51/128, 179/384, -7/48, -769/768, 235/384, 
  2655853/36000, -91018453/72000, -209961763/518400, -112510561/576000, 
  11385697/24000, -9842323/54000, 662912593/576000, 196632763/691200, 
  -394614683/1728000, 64674251/192000, -490479211/1728000, 
  1959021479/1728000, 69015001/230400, 122515223/288000, -13927889/64000, 
  1862404237/1728000, -275324983/96000, -105364619/129600, 915199/5760, 
  -838019/5760, -787/64, -15499/384, 18417/320, 6155/192, 971/480, -377/384, 
  -39791/1920, 539/64, 27/32, -27/32, -27/32, -2649259/34560, 2571499/34560, 
  2581219/34560, -25/16, -15461/240, 983/24, -2201297/11520, -17774501/86400, 
  -21779341/115200, 4145773/34560, 4096093/43200, -1153/320, 
  -20565341/1382400, 1671/32, 301171999/345600, -330909751/1382400, 
  1711271/1440, 7135297/5760, -6454259/5760, 9676607/17280, -14422939/5760, 
  -2135981/3840, 24877997/69120, 3185171/11520, 11942377/34560, 
  -81570563/34560, -235921/768, 11543971/23040, -154673/6912, -1708391/2880, 
  -1/2, 14408779/7680, -7158337/11520, -30401339/23040, 4304/45, -224381/480, 
  -12761/90, -147103/2880, 762389/23040, -144581/2880, 1935823/11520, 
  866879/23040, -147103/2880, 700759/7680, -266703/1280, 1952143/11520, 
  -503429/23040, -69089/360, 296437/3840, 1/8, 3596171/3840, 475789/2304, 
  -99727/1280, -13453/576, -68462503/230400, 19987393/46080, -274853/640, 
  9/4, 100207/1280, 15307/576, 68464303/230400, 67/96, -467749657/624000, 
  65/6, -59/6, 1/24, -65/6, -8155/192, 161/48, 2705/64, 11629/192, -7417/320, 
  8609/96, 85638469/1872000, -742463659/499200, 5443430809/3744000, 
  8216918261/1872000, -1667827/3840, -2266840253/624000, 
  -33388315711/3744000, -53182635991/29952000, -181404216217/29952000, 
  519449/3840, 164235890441/29952000, 22757710073/3744000, -5759/600, 
  60761023/38400, 8177/240, -10488365497/7488000, -82880367/20800, 9, -51/4, 
  -105/4, 43/36, 45/2, 1455/64, 95/8, -35/9, -47/8, -16253/192, 23/24, 81/16, 
  -51/32, -1/4, -65/48, 151/48, -85/24, -157/64, -3/4, 1/2, 1/2, 4, 3/2, 
  -33/4, -3/2, -1/4, -3/2, -2, 9/4, -15/8, -3/4, 59/64, 191/192, -41/64, 
  7/16, 7/24, 281/192, 279/64, -1259/192, -163/48, -35/48, -697/800, 
  -30397/1200, -1101/80, 6676443/6400, -62692543/57600, -19623487/14400, 
  75962753/57600, -921637/7680, 61740943/115200, 6071179/9600, 
  -76673153/115200, -1095109/4800, 1607/64, -1607/64, -243/16, 
  33626539/19200, 9316129/38400, -6309889/3840, -36901/2400, 6436607/3840, 
  -28441/480, -1815043/1280, -139135653/52000, 2485819/34560, 
  -108248357/414720, 3/2, -2301193/41472, 36225677/138240, -2720081/207360, 
  -327023/2160, -2005247/414720, 286177/138240, 2614969/34560, 
  8556091/207360, 1001021/414720, 26417/1728, -334501/11520, -188059/207360, 
  -7/24, -41/1536, 45/512, -4259/768, -2761/1536, 3799/768, 83/48, 5281/1536, 
  -1127/384, 41/96, -3711/512, 5/16, 2863/768, 3203/1536, -321/256, 17/144, 
  -274043/7680, -5791/2304, -175/96, 1722733/11520, 113/288, 89/54, 
  2720447/69120, -651103/4320, -2610917/69120, -16290511/46080, 
  -248263211/1382400, -1691843/18432, -869069/11520, -53562307/86400, 
  -2077193/5760, 59373389/55296, -62758079/153600, -44557/2304, 
  -2322337/5760, -426451/1152, -48213989/230400, 239521/6912, 5994359/5120, 
  53512051/138240, 19/8, 3/16, 35/16, -589/128, -249/128, -17/32, 251/64, 
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  10424209/115200, 11352059/115200, -14672059/57600, -10584209/115200, 
  16385/2304, -13865/768, -633/64, 25739/2304, 113/24, -392869/32000, 
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  4101873/320000, 1682417361/16640000, -564030301/19968000, 
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  145116137/960000, 39550701557/149760000, 18600059/46080, 
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  -295/96, 77/96, -103/64, 59/48, -19/24, 7/8, 1/48, -9/8, 5/16, -7/64, 
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  35/64, 17/64, 39/16, 131/32, -1/16, -7/16, 55/64, 1/32, -17/64, -125/32, 
  -3/8, -7/64, -31/16, 17/16, -29/64, -9/16, 35/16, -7/8, 9/16, -3/16, 31/16, 
  -7/8, 15/32, -3/4, 1/4, -59521/384, 37783/128, -205910093/691200, 
  -253697093/345600, -389956697/691200, 202043693/345600, 43479319/172800, 
  -131819879/345600, 141872591/230400, 957242111/691200, 258036497/691200, 
  -361267421/691200, -4302073/115200, -267854507/230400, 235847/12800, 
  -775262579/1382400, -51212131/115200, -203877229/86400, -3176909/21600, 
  -56675921/115200, 110993239/86400, -37673/576, -89840219/172800, 
  -18011729/691200, -511550609/691200, 403762981/345600, -2032613633/691200, 
  -103337981/76800, -2325146887/1382400, 98795357/57600, -791759249/691200, 
  35201981/172800, 173597923/345600, 8816639/43200, 33074683/230400, 
  -417481997/691200, -7017997/172800, -24163919/345600, 3211/128, 
  -116041471/414720, -383459353/2073600, -2617404383/4147200, 
  73319857/414720, 306923/15360, 51881731/230400, 259425101/230400, 
  10643651/69120, 258443/11520, -32182597/34560, -227/192, 140129219/345600, 
  -189927931/691200, 46608169/69120, -1510307/1600, 2323856681/2764800, 
  451037803/1382400, 598091047/921600, -108312251/230400, 719544269/2764800, 
  51881731/230400, 1208472689/691200, 36534289/115200, 53273591/230400, 
  -57410647/43200, 3173/72, -73455143/345600, -113158867/345600, 
  803826547/691200, 67157/1728, 2152080647/1036800, 309868873/259200, 
  5657614591/4147200, -5747648021/4147200, 389469067/345600, 11/32, 11/32, 
  1/16, -9/32, -1/16, 9/64, 1/16, 3/64, 1/64, -3/32, -1/8, -3/64, 1/16, 9/32, 
  11/32, -1/4, -9/32, 1/8, -1/16, -9/16, 61/64, 1/16, -3/8, 7/8, -57/64, 
  7/32, -11/64, 55/32, 0, -9/16, 21/32, -3/32, 11/8, -27/32, -11/32, 15/32, 
  1/16, -1/8, 1/16, -1/8, 1/8, 1/16, 1/4, 11/16, -1/4, -1/2, 1/2, 0, -5/8, 0, 
  1/8, -3/16, 5/8, 3/8, -3/8, 0, 0, 1/2, 3/4, 1/8, -3/32, -3/16, -13/16, 
  -7/16, -1/8, 1/4, 1, 1/4, 33/32, 3/8, 3/8, 1/12, 127/384, 1/96, 1/12, 
  45/128, -35/96, 17/192, -13/48, -9/16, 419/512, 1/16, -419/512, -23/24, 
  7/48, 17/16, -1/48, 11/16, -11/16, 1/16, -5/6, 403/384, -1/32, 5/6, 1/16, 
  1/96, 1/16, -25/48, -61/384, -25/32, -13/16, 505/768, -73/96, -3/8, -7/32, 
  7/16, 11/64, -11/8, -3/4, -73/32, 25/32, -1/16, -23/16, -11/16, 1/16, 5/4, 
  53/16, 65/64, -19/16, -1/8, -5/8, 3/4, 7/8, -3/4, 5/16, 3/8, -61/64, 15/64, 
  1/64, -85/64, 1/4, 0, -21/32, -7/32, -1/2, 5/32, 1/8, 39/32, 13/32, -15/16, 
  -1/32, -1/8, -5/8, 3/4, 35/32, -59/16, -83/32, -1/8, -61/64, 15/64, 103/32, 
  -85/64, -1/8, -219/64, -17/16, -83/32, -359/64, -17/8, 11/32, -17/4, 
  -99/64, 9/8, 57/32, 107/64, 31/8, 145/64, -13/8, -5/64, -1/4, 1/16, 7/16, 
  3/64, 19/256, -3/64, -7/64, -19/256, 3/128, 1/16, 3/128, -27/256, 23/256, 
  -3/128, -115/128, -233/256, 3/64, -67/256, -1/64, -15/32, 19/128, 1/64, 
  277/256, 427/256, -3/64, 7/64, -11/32, -7/64, -7/64, 37/128, 701/512, 
  5/128, -3/64, 3/8, -385/512, -25/128, -17/32, 3/128, -1/16, 159/512, 
  -39/128, 911/512, 59/64, -3/64, 109/256, -81/128, -905/256, -29/32, 
  -249/128, 41/512, 1/32, 21/64, 185/256, 71/512, 39/128, 653/512, -5/128, 
  -1/16, -653/512, -3/64, -19/256, 9/128, 19/256, -3/128, 3/16, 379/256, 
  -159/256, -47/128, -137/64, -45/128, -1/8, 171/128, 1009/256, -1/16, 3/64, 
  23/256, 5/128, 13/64, 23/128, -3/64, 219/256, 35/16, 97/64, -37/8, -39/64, 
  -35/128, -1/32, 171/256, -3/16, -9/128, -7/32, 19/128, 41/128, 19/48, 
  -7/96, 199/384, 17/32, -5/64, -81/128, -13/24, -43/96, -69/256, 5/16, 
  69/256, 2521/1536, -923/512, 5/96, 17/192, -43/384, -1/96, 59/384, -15/256, 
  -1/64, -173/384, -3/64, 13/48, -237/512, 61/256, 69/256, 49/128, 55/128, 
  2521/1536, 3/8, -77/192, -923/512, -79/96, 5/96, -55/64, 17/192, -73/128, 
  9/32, -43/384, -1/96, -245/384, -651/512, -169/384, 11/192, -19/256, -1/64, 
  185/128, 235/384, -3/64, 21/32, 293/512, -189/512, -83/256, 2345/1536, 
  -67/128, -743/512, 185/256, 17/48, 139/192, -33/256, -223/128, 5/16, 
  -121/128, 1/32, -2377/1536, 325/384, -189/512, 887/512, -1067/768, -71/384, 
  -7/16, -9/128, 43/192, -11/128, 67/192, 81/256, -3/256, -5/8, 27/512, 
  -3/64, -3/64, -7/32, 0, -27/128, -9/64, 9/32, 1/32, -47/128, 1/4, -3/32, 
  -3/8, 13/64, 15/64, -3/32, 3/64, -33/64, -11/32, -29/64, -3/16, 1/8, 35/64, 
  5/64, -5/64, 0, -3/32, -3/32, -3/64, -9/16, -33/64, 0, 0, -9/64, 29/64, 
  11/16, -1/32, 7/16, 0, -3/32, -53/64, 5/64, 15/64, -3/32, 7/64, 13/64, 
  -19/64, -19/64, -41/64, -15/16, 19/64, 47/64, 1/32, -171/256, -65/256, 
  -9/128, 71/256, -3/128, -3/16, 181/256, 89/64, -29/128, -175/128, 3/128, 
  25/64, -335/256, 279/256, 11/64, -1/32, 89/128, 1/8, 23/64, -29/256, 
  29/256, -55/256, 105/256, -81/256, 33/256, 29/256, -13/256, 15/32, 
  191877659/345600, 13606109/345600, 44721/3200, -50896981/115200, 
  -1048979519/276480, -28491997/23040, -56996771/115200, 675267307/691200, 
  -75451/1152, 43587319/172800, -271127119/691200, -5344529/17280, 
  40210573/38400, 28517593/12800, 57605257/345600, -1806483/3200, 
  -74226293/345600, -351951481/691200, 4705997/43200, -2134654031/1843200, 
  -1876695149/1843200, 37530397/57600, 6799240177/1382400, 
  -14344194707/8294400, -17397071393/4147200, 1510462237/8294400, 
  185796169/1105920, -13735955939/8294400, -789882329/1843200, -3/16, 
  -44254423/460800, 161821163/345600, 50803321/691200, 51935731/230400, 
  2076194267/1382400, -137957183/345600, 255743/11520, -254948321/230400, 
  11/6, 5/64, -29524913/92160, -8675423/57600, -10209197/230400, 
  -1745255/55296, -4309381/69120, -55/192, 105596471/230400, -2879399/18432, 
  2143/128, 7954636913/16588800, -2373090491/16588800, -15915388019/41472000, 
  232300489/1843200, 15679411187/27648000, -187554947/1658880, 
  -10925814743/5529600, -837857261/41472000, 11529317/40960, 
  5908875709/4147200, 2004708517/8294400, 21465762401/82944000, 
  -3813598447/16588800, -1345698107/16588800, 783985469/5529600, -3/16, 
  2885819/153600, 1040324483/691200, 132666389/230400, 51165031/230400, 
  1628177077/691200, 306691459/691200, 55675691/230400, -116962559/153600, 
  44141/1152, 5/64, -248404907/276480, -237765089/172800, -227011759/691200, 
  -31328053/92160, 357314677/460800, -55/192, 576275789/691200, 
  106184963/1382400, 2143/128, 9431978993/16588800, -1750871297/5529600, 
  55021142737/41472000, 26713092371/16588800, 84426315347/82944000, 
  2247942053/4147200, -3381342481/1843200, 1740871007/4608000, 
  -1554072131/3317760, 1287433381/1036800, 1068449977/16588800, 
  -16412231/27648000, 7526972867/8294400, 3799824797/16588800, 
  783985469/2764800, 54337531/460800, 138799649/460800, 50803321/691200, 
  1675/1152, -423636869/1382400, 383/96, -3/32, 1164431627/1382400, 
  17453423/691200, 52566451/460800, 387673/51200, 4831/288, -31687031/172800, 
  -64038167/172800, 491242831/1382400, 50805131/172800, -51298531/460800, 
  -5936799959/16588800, -19113669629/41472000, -17432677/76800, 
  5312672119/9216000, -10331/288, 13800971977/16588800, 17519375479/41472000, 
  10947096383/16588800, 66860569/414720, -222603873/204800, 
  -35667326689/82944000, -2692896353/5529600, 32822078729/16588800, 
  -785572369/1843200, 3/32, 3/32, -3/32, -3/32, 0, 0, -9/32, -3/16, 3/16, 
  3/32, 0, 9/32, 3/32, -3/32, -3/32, 7/16, 3/32, -11/32, -7/16, -7/16, 
  -55/64, 1/16, 37/64, 27/64, -9/64, 3/16, 25/64, 3/32, -9/64, -55/128, 
  -11/128, -3/128, 3/64, -3/128, -33/64, -25/32, 11/64, 7/16, 77/128, 
  -35/128, 15/32, 29/64, -15/64, -9/64, 55/64, -21/32, -3/64, -225/128, 
  191/128, 109/128, 5/16, 5/64, -27/64, 3/16, 1/2, 31/64, 11/64, -9/64, 
  -27/64, -9/32, 0, 0, -33/64, -101/128, -21/64, 29/64, 75/128, 0, 15/32, 
  19/64, -39/128, -9/64, 13/16, 51/64, -1/64, -7/16, -7/16, -13/8, -83/128, 
  37/64, 111/128, -9/64, -11/64, -3/32, 47/128, 13/128, -3/16, -3/32, 1/64, 
  -5/32, -7/32, 21/128, 3/16, 5/32, 5/32, -3/32, 19/64, 5/32, -11/64, 
  -47/128, -81/128, -3/4, 109/64, 43/128, 25/128, -1/8, 27/64, 67/128, 3/64, 
  -3/64, 3/64, 3/32, 3/256, 39/256, -3/32, -9/64, 3/64, 3/64, -11/128, 
  19/128, -7/64, 17/32, 11/64, -77/128, -37/64, 1/128, -3/128, -1/128, 3/32, 
  3/32, 3/16, 51/256, 3/256, 3/128, 3/128, 3/64, -17/64, -7/32, -41/64, 
  -119/256, -3/128, -3/32, 11/64, 29/64, 3/64, 0, -9/32, -9/32, 59/256, 
  59/256, 5/8, 29/32, -59/256, -5/8, 11/64, 11/64, -11/64, 13/128, 123/512, 
  -37/256, -123/512, 11/256, -19/256, 13/128, 129/512, -27/256, -1/16, 
  -35/256, -69/128, -19/64, 1/8, 11/256, -51/128, 27/256, 217/256, 179/512, 
  327/512, -63/256, -499/512, -25/64, -217/512, 43/512, -5/32, 1/8, 615/1024, 
  37/128, -1/6, -125/128, -739/512, -1/12, -61/1536, -37/128, 1/6, 179/256, 
  15/512, -131/1536, -615/1024, 5/64, 659/1024, 615/1024, 79/256, 95/256, 
  7/256, -73/96, -13/512, 23/768, -2099/3072, -499/768, -1/96, -2143/1536, 
  -1499/1536, 7/192, -9211/3072, -113/192, 1201/3072, 609/1024, 167/384, 
  641/768, 13/192, -73/96, -17/192, 101/512, 23/768, -2167/3072, -499/768, 
  -1/96, -2207/1536, -1979/1536, 7/192, 3593/1024, -2039/1536, 677/512, 
  41/192, 3743/1536, -23/128, 125/48, 203/1536, -929/256, -557/384, 137/192, 
  -59/512, -5/256, -251/768, 5/8, 615/1024, -27/128, -5/48, -37/48, -311/384, 
  -2377/1536, -5/16, -1021/1536, 2291/2048, 441/512, -9/16, 2321/3072, 
  -435/512, -2833/1536, 707/1536, 1399/2048, -917/384, -5/16, -1/16, -29/64, 
  1/32, -29/128, -33/128, 9/64, -69/128, 51/128, 3/64, -89/32, -85/128, 
  -81/16, -73/64, -11/64, 17/32, 159/128, 1/8, -3/32, 33/128, 1/64, -25/128, 
  -51/128, 155/128, 69/128, -81/128, 5/64, -39/128, -41/64, 0, 3/64, -9/64, 
  -1/128, -3/64, -29/32, -19/128, -9/8, -27/64, -3/16, 3/64, -11/64, -71/32, 
  -47/128, -257/64, -103/64, -11/64, -3/32, 25/128, 1/8, 3/64, 323/256, 
  61/128, 45/32, 79/256, 27/32, -83/128, -13/128, 425/256, 101/128, -205/256, 
  117/256, -37/256, -181/256, -165/256, 0, 3/16, -3/16, 0, -55/64, -75/32, 
  -31/32, -269/64, -21/16, -1/16, -27/32, -43/64, 1/8, 0, 17/64, -59/128, 
  -3/8, 33/128, -7/16, 15/128, 39/64, 179/128, 21/64, 93/128, 11/64, 19/64, 
  -39/128, 3/64, -3/64, -27/128, 3/128, 21/128, 3/128, 3/32, 115/128, 
  -65/256, 9/64, 141/128, -157/128, -3/16, -413/256, -1/4, -21/128, 249/512, 
  -33/128, 1203/512, 553/256, 9/128, 15/128, 0, -19/256, -19/256, 3/64, 
  11/256, -23/256, 0, -5/128, -15/128, -863/512, 205/512, -279/256, 549/256, 
  87/64, 15/64, -1/4, -421/512, -15/128, -3/64, 23/256, 43/256, -5/64, 1/64, 
  693/512, -53/512, -29/32, -669/512, -1/64, -3/32, 1/64, -13/192, -7/96, 
  7/192, 3/64, 3/64, 65/256, 155/768, 49/128, 151/384, -141/256, -431/768, 
  -55/128, -167/384, 1/8, 33/512, 1/16, 5/192, -49/128, 3/32, -859/1536, 
  -15/128, -125/192, -43/512, -27/64, 83/192, 5/384, 41/64, 23/64, -11/192, 
  53/256, 35/128, 47/256, -9/256, 1/3, -1/8, -221/1536, -13/64, -139/512, 
  39/256, -31/512, 3/64, -3/64, -27/256, -27/256, -3/32, 3/64, 15/64, -3/64, 
  -95/256, -7/32, 0, 0, 0, -9/32, 3/32, 95/256, 0, 3/32, -3/64, -3/64, 3/64, 
  -31/256, -31/256, 3/64, -1/32, -11/64, -3/16, -17/256, -3/32, 5/64, 3/16, 
  3/64, 3/16, 3/16, -3/16, -3/32, -44211223/460800, 161821163/345600, 
  50803321/691200, 54467131/460800, 31095029/38400, -138228983/345600, 19/18, 
  -51467969/86400, 1613/384, 1321897/11520, 709220371/1382400, 
  -8675423/57600, -2821/768, 1662829/2304, 923679377/1382400, 
  54184651/460800, 477521873/1382400, 1189/72, -3596143/9600, 
  -92825033/691200, -6925993/86400, -222411371/1382400, 236914987/691200, 
  40893547/172800, 8441251/115200, 3/32, 33904799/1382400, 
  -31845489343/16588800, -18963587279/41472000, -51384931/460800, 
  -4666897511/16588800, 37680098071/27648000, -17610277/76800, 
  -9151155523/27648000, -18961/576, 128489/1440, -6461010257/16588800, 
  279637493/110592, 3507704489/3317760, 30277415659/82944000, 
  2358419203/3317760, -114655007/829440, 5743165099/6912000, 
  -78269647/276480, 35992757/829440, -7946342513/16588800, 130429711/5529600, 
  -55210232701/82944000, -47247371/76800, -85593277/153600, 
  3288826253/16588800, 6296695783/4147200, 35720442653/82944000, 
  16594530101/16588800, -3636030203/4147200, -2008078117/8294400, 
  220056757/3072000, -195396523/8294400, 2015732077/8294400, 
  -783985469/5529600, 3/32, 3/32, -3/32, -3/32, 0, 0, -21/64, -15/64, -3/64, 
  9/64, 3/32, 0, 0, 3/8, 9/64, 3/32, -3/64, 0, -9/64, -3/64, -3/32, -5/64, 
  1/64, 0, -25/128, -25/128, 0, 0, 15/64, 29/64, 21/64, -5/64, 15/128, 0, 
  -3/16, -49/128, 9/128, 3/64, -3/8, -5/16, 1/16, 3/32, 3/32, 53/64, 25/64, 
  -3/32, -57/128, 3/64, 3/64, 3/64, 3/64, 0, 0, 0, -3/32, -3/64, -3/32, 
  -3/64, 0, 3/64, 3/64, -17/128, -171/512, -103/512, 5/256, 5/256, -3/64, 
  -1/16, -1/64, 27/64, 251/512, -5/256, 3/32, 1/16, -37/128, -3/64, 11/128, 
  11/128, -115/512, -115/512, -35/128, -23/64, 115/512, 35/128, -11/128, 
  -11/128, 11/128, 1/16, 871/2048, 615/1024, 53/256, 1207/2048, 37/256, 
  -91/192, -103/384, -1/256, 7/768, -793/2048, -93/128, -5/48, -1895/1536, 
  -697/512, 19/384, -1/8, -1967/3072, 5/1536, 1253/2048, 10427/3072, 
  1021/3072, 1893/2048, -3/512, 3829/3072, -43/384, 523/384, 415/1024, 
  -1511/768, -611/768, 1/16, 1321/6144, -615/1024, -191/384, -271/2048, 
  21/128, 17/96, -3/16, 3/32, -3/64, -9/32, 3/64, 3/16, -3/32, -61/128, 
  -89/32, -9/64, -161/128, -579/128, -11/32, -207/128, -5/16, 7/32, 41/32, 
  5/16, 145/128, -63/128, -11/16, -47/64, -3/64, -3/64, 9/64, -1/32, 0, 
  -7/32, 3/32, 83/256, 97/32, -7/128, 459/256, 21/32, -17/64, -73/128, 
  383/256, 47/64, 3/64, 5/64, -39/128, 11/64, -23/128, 3/16, 35/256, -5/64, 
  -251/256, -5/64, 39/128, -23/128, 5/8, -29/4, -5/8, 1/8, -81/8, -3/4, -3/8, 
  -1/4, 225/128, -197/384, 5/8, -85/24, 1/4, -1/4, -83/64, 193/192, 8797/96, 
  1/8, 1/8, -5/8, 43/24, 43/24, -11/8, -639/8, 1729/48, 6655/48, -3889/96, 
  253/192, -49/24, -1/8, 167/24, -3/2, 3/4, -3/4, -173/192, -2617/64, 
  25673/768, -4183/192, -17/384, -49/16, 9/8, -5/8, 1/8, 7/8, 5/8, -1/8, 
  225/256, -1775/256, 1/8, 1243/288, 15/16, -83/64, -3/2, 19/48, 193/192, 
  3/2, -18883/288, -17117/576, -1141/48, 527/6, 11693/1152, 3431/1152, -1/8, 
  -15/8, 7/6, 1/8, 3/2, 17/8, 701/24, 167/6, -3185/12, 6655/48, -397/192, 
  -835/48, 24575/48, -3181/6, 1703/256, -3199/768, -5/8, -3/4, -4573/192, 
  -33601/384, -6313/192, 2611/192, 509/384, 305/384, 36013/256, -143/16, 
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  -1721/768, 4311/1024, 3425/768, -14297/3072, -1721/768, 233/256, -1125/256, 
  225/512, -1261/384, 2179/768, -3/4, 19/8, -3/4, 617/768, 1647/256, 
  1445/384, 563/256, 845/768, -2029/384, -65/24, 5/64, -1/8, 1/8, -1/8, -1/8, 
  1/8, -7/16, -1/16, -13/16, 69/16, -5/16, -41/8, 1/96, 15005803/230400, 
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  -2559/512, -23/16, -119/48, 583/256, -11/64, 19/48, 11/64, -173/96, 
  265/192, -173/96, 163/192, 133/192, 265/192, -185/384, -23/16, -2275/512, 
  373/192, -101/384, 1/96, 1/96, 181/96, 1/48, -2040149893/4147200, 
  430380757/414720, -19594429/153600, -43359287/460800, 18348787/460800, 
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  -108644377/69120, -11/4, 108591637/69120, 7/3, 53/16, 1/24, -185/96, 
  -145/96, 217/96, 227/64, -139/96, -91/96, 3507/512, 13145/1536, 55/12, 
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  193/768, -977/256, 559/96, 611/128, -93/16, -218389/576, 25229/384, 
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  475577/512, -21195/64, -3189725/4608, -51931/768, 1/16, 1/16, 153/256, 
  4183/768, 3491/768, 153/256, 69/128, 2465/3072, 463/128, -2273/1536, 
  -83/384, 821/128, -1/16, -5/16, -1495/384, 1507/96, 5887/768, 627/256, 
  -959/384, -8021/3072, 1519/256, 22685/3072, 12073/3072, -11/8, -17/8, -3/8, 
  59/16, -3/8, -11/16, 27/8, 19/16, -11/16, 5/4, 9/2, 11/16, 11/8, -83/8, 
  -19/4, 45/8, 235/16, -94661/192, 5393/96, 9005/64, 2735/128, 1/16, 
  35117/64, -1/16, -28255/192, -6929/6, -151399/3072, 13291/64, 10911/128, 
  -314117/576, -55733/384, 40153/768, -145441/256, 42707/9216, 8142047/9216, 
  55247/96, -968543/18432, 447395/4608, 502001/4608, 275777/2304, 
  1401151/4608, -268405/9216, 163806173/230400, 159073/2304, 37/64, 539/48, 
  477/256, -2449718933/5529600, 68021/96, 2228142857/5529600, 
  -497123057/2764800, 163917371/576000, 36296437/6912000, 1389649/57600, 
  -687451327/6912000, 150542381/1152000, -1175318437/3456000, 1543277/57600, 
  13678343741/27648000, 4974887539/5529600, -281675/2304, -85/48, 
  304187/4608, -761/24, -1791833/4608, 682291/1536, 823823/1152, 
  -5207431/13824, -4727/192, 1214413/9216, -132763/9216, -4491511/9216, 
  501/32, -611555/3072, -1525315/3072, 765083/3456, 11/16, 15007573/72000, 
  767412563/3456000, 39613/28800, 4675302433/13824000, -33/16, 0, 539/2304, 
  -539/2304, -47962921/57600, 1789/768, -641/192, 113/32, 27/64, -17/192, 
  1097/768, 1019349257/3317760, 117425587/576000, 1475692381/2304000, 
  -256609/19200, 60431917/288000, -36737/28800, 516330179/921600, 93/32, 
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  -359/384, -155/384, 35/16, -9/8, 517/384, 7/16, -7/16, 25/8, 5/2, -5/2, 
  35/32, 9/16, -15/16, 9/4, -7/4, 35/8, 33/16, -33/16, 35/32, -23/16, -97/16, 
  23/16, 47/8, 47/8, 5555/384, -143/384, 2050665233/2073600, -496601/768, 
  107/384, -107/384, -35/384, -74051/1152, -81421/576, 1/4, -144413/6912, 
  11/16, 1/16, -1/2, -615/512, -817/128, -59/16, 917/3072, 353/192, 109/288, 
  41/96, -19/64, -1127/576, -647/288, 241/144, -37/64, 37/96, 257/576, 
  -2605/384, 2149/288, -709/1152, -1073/576, 1447/576, -109/144, 25/144, 
  -703/1152, -689/192, 95/288, 0, -7/8, 27/32, 1/8, -1/4, -87/32, -131/64, 
  83/32, 7/16, -27/64, -3/8, 79/16, 7/2, -1/4, 351/64, -187/32, -283/32, 
  163/16, 99/16, -91/16, -31/8, -479/64, 91/16, 0, 11/32, 209/192, 3/4, 
  101/48, 9/64, 1/2, -85/24, -461/64, -23/4, -9/32, -95/48, -39/64, 213/32, 
  5/4, -84419/288, 3211901/27648, 108907/512, 127561277/345600, 
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  -157240277/345600, 15675037/38400, -2325839/115200, 19189/288, 
  9615793/57600, 388831951/345600, 53043803/115200, 1486517/4608, 
  -2098802123/2073600, 1249592011/691200, -385032691/2073600, 
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  -369/64, 715/64, 1/128, -349/64, 83/16, 63/128, -597/64, 13/16, -33/4, 
  -15/128, 661/64, 523/64, 23/64, -1/8, -33/64, 9/128, 5/32, -1/32, 31/128, 
  139/64, -15/16, 499/64, 9/128, -89/16, -45/16, 663/64, 9/16, 31/32, -31/32, 
  -9/16, -1, -37/32, -9/16, -13/32, 13/32, 13/32, 9/8, 41/48, 13/16, -19/32, 
  -9/32, -17/32, 67/48, 5/16, -67/48, 11/64, -7/48, -11/64, 7/48, -5/12, 
  -13/16, 1/64, -7/64, -125/512, 6867/2048, 1129/512, -1/6, 2209/1024, 
  1225/768, 785/768, -13405/6144, -223/128, -9805/3072, 115/256, -227/768, 
  339/256, 3741/1024, 139/1536, 6837/1024, 1781/512, 5/256, -5935/1536, 
  -793/384, 3/32, -4231/384, 1187/192, -47453/12288, -531/512, -76501/6144, 
  369/512, -129/32, 53/768, 549/64, 325/192, -779/256, 667/4096, 219/128, 
  -77/32, -7/16, -1507/1536, 111/64, 1763/768, 119/64, 27329/6144, 223/96, 
  745/384, 305/768, -5383/1536, 3/4, 4771/1024, -17/128, -5/32, 5/32, 3/32, 
  5/16, -3/32, -5/8, 115/32, -13/32, -231/64, -3/16, -7/4, -141/32, 351/64, 
  -9/8, 1/64, -3/16, 35/64, 3/16, -9/16, 159/32, 93/16, -45/32, -3/8, 81/64, 
  1/8, -29/32, 47/32, 27/16, 115/288, -1/32, -23/64, -871490371/2764800, 
  77454351/102400, 314725853/691200, -1337731777/1658880, 
  -1064150177/1382400, 324355561/207360, 377728273/2764800, -12996329/102400, 
  334185893/2764800, 1769141/34560, -332479493/2764800, 149/128, 25/192, 
  919/256, -17/32, -57/128, -1823/512, 15/32, 1783/512, 1/8, -997/512, 25/96, 
  -169/384, -121/1536, -11/192, -5/48, -25/288, 11/32, 29/144, -23/64, 
  -25/288, 35/96, 7/64, 371/192, -7/64, -271/192, 1/576, 5/24, -223/192, 
  3/64, 13/96, 2317/384, -1273/72, 16063/1152, 1238874691/3110400, 
  -3461513603/6220800, -987005719/3110400, -31405591/28800, 
  8881052581/4147200, 479424521/1036800, 54658188907/4976640, 
  119180901883/24883200, 539428793/1382400, -4033102267/1105920, 
  40490531021/5529600, -2441812261/2764800, 65782301177/24883200, 
  50082961/460800, 86860427761/9953280, -123142983539/12441600, 
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  465863633/1382400, 47950703351/24883200, 50082961/460800, 
  15979213685/1990656, 12157397171/16588800, 2763459179/24883200, 
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  380998873/5529600, 2526287719/259200, -6726635017/691200, -350937323/36864, 
  3242988691/8294400, -2674639/138240, 56224651067/5529600, 
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  198991837/921600, 180827834329/49766400, -2258299/552960, 
  658645962301/49766400, -1220053091/460800, -92762487983/8294400, 
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  440456571973/24883200, -23621899309/2073600, -169350321757/24883200, 
  3355530739/4147200, 1/6, -1641259/276480, 1595179/276480, 41/192, 
  1490059/276480, -73/192, -830269/276480, -1383/512, 414829/276480, -61/64, 
  -11/64, -413/256, -97/384, 587/256, 197/384, 1021789/276480, 
  -1940869/276480, -2515/512, -11/64, -405/256, -601/256, 43/48, 
  -1999579/92160, 7/32, -97/384, 2377/768, -119/96, 197/384, 926029/276480, 
  1517/256, 2608579/276480, -2058949/276480, -987/256, -843/128, 
  1742059/276480, 1/2, 675/128, -2009899/276480, 5/64, -125/96, -35/64, 
  275/48, 589/192, -2269099/276480, 953/256, 1745659/276480, 247/128, 
  -2623/1024, -67/48, 5304725/13824, 13/24, -108683257/69120, -19/12, 
  -2656039/6912, -5304725/13824, -505/384, 41/1536, -259/192, -5286689/13824, 
  5299721/13824, 923/384, 5282477/13824, -73/96, -1181/384, 2771/1536, 
  -54424001/34560, -1330535/3456, -259/192, -101/32, 47569/40, 
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  289/96, 203/192, 179/96, 3073311/2560, 13409/1536, 71/96, 1235/1536, 
  -2655301/6912, -77/384, -4595419/3840, -997/1536, 2737/32, 
  -2575718557/2073600, -60464461/691200, -149/128, -591/512, -87582217/76800, 
  -224555/576, 6955918997/2211840, 590902427/345600, -6850662677/2211840, 
  102321042293/16588800, 6566567057/1382400, -133325188763/16588800, 
  -23736677969/4147200, -2560874981/1105920, 366715673543/16588800, 
  -38012803/230400, 43458047/1036800, 371/8, 10195578839/1228800, 
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  831616043/204800, -280830952313/16588800, -1502050939/1036800, 
  -8060193833/5529600, 48016031/43200, 51854911/115200, 
  147443517209/11059200, -400471483943/33177600, -2881/2304, 
  2436753761/4147200, 195/4, -3374700397/1843200, 35188240007/3317760, 
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  1/6, 4607/6144, -1529/768, -4855/3072, 105/128, 1045/512, 149/128, 355/768, 
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  225041/1536, 12817/256, 12997/1152, -45/8, 62089/32, 469711/3456, 
  433627/2304, 47047/7008, 2577/512, -12319/1536, 13267/768, -563/1536, 
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  17/72, 1/4, -17/72, -19451/4608, -19451/4608, 1/256, -17/36, 7/16, 17/72, 
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  -4301/4608, -62423/6912, 2525/768, 5/2, 925/384, 203/16, -9/8, 3/8, 
  42515/144, 1663/48, -56923/288, 57499/288, -2987/9, 85/576, -85/576, 9/8, 
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  1511/512, -3/16, -4870001/13824, -846199/1536, -1373723/6912, 3/8, -23/192, 
  6293/1728, -25795/864, -22777/1152, 4919/576, 22891/6912, 48965/6912, 
  11/48, 7037/1152, 11/48, -108401/2304, -37381/768, -13/32, 75/128, 1/2, 
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  -129523/576, -2329/96, 913129/3456, 193/384, 1401899/3456, -64039/144, 
  95023/576, 17363/576, -115817/864, -1611/512, 2083/1536, -1/16, 1/8, 
  283171/14016, -36959/3504, -41239/4672, 40663/14016, 40609/3504, 
  -206611/14016, -35191/768, -153521/1536, 68933/1536, 217829/1536, 
  33529/768, -576293/1536, 29315/3456, 89653/1728, 3871/1152, -8495/32, 
  457465/576, -207571/576, -2087/6, 730927/864, -3302497/1728, -1238033/1152, 
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  6425737/13824, 1151/4, -5/72, -27/256, -27745/108, 1151/4, 1/18, -3/8, 
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  13/144, -62423/6912, -62423/6912, -4301/2304, -3163/1152, -36095/2304, 
  225/256, -5299/768, 5/2, -2969/36, -7775/36, 7775/36, 1/8, 1/32, -3/16, 
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  -87017/18432, 89/16, 13984417/21504, -13/8, 701398247/516096, 1/16, 
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  1/32, -60617/6912, -408929/13824, 49129/1536, -743/576, 247/768, -173/256, 
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  -249751/1536, 1352905849/5160960, 152592510283/232243200, 67057/1152, 
  -5018349/2048, -98167/1152, -76467205/64512, -114312137/172032, 6119/4608, 
  -6353/4608, 75769/1152, -4429/384, -87259/1152, -98743/2304, 72319/2304, 
  -157/256, -157/256, -75/128, -29/96, -13/256, 1/8, -5/32, -3/32, -113/256, 
  -113/256, 18917/3840, 4313/960, 1267/2880, 10399/23040, 159/128, -83/384, 
  547/768, 535/256, -17/32, -185/3072, 3/32, -161/8, -183847/864, 
  253849/3456, 1907/96, -75973/3456, -989237/3456, 121/8, 76184551/43008, 
  -49/8, 299984317/129024, 7567253/16128, -1/16, -1/32, 3/32, 275/1536, 1/32, 
  1/16, -1/16, 1181/3072, -2593/1536, -1281/512, 3/64, 1/8, 1/4, 89/32, 
  17929/384, 14605/128, -1097291/18432, 149569/18432, 23941/384, 51377/36864, 
  -2438299/3072, -2416507/3072, 112991/1536, 2042155/3072, -211/32, 
  -99461/9216, 138761/9216, 68917/9216, -98019643159/4838400, 
  2363082679051/387072000, 1241643444053/77414400, 937/1536, 393/256, 
  -1503/256, -287467/384, -152785/384, 1055/3, 237953/384, 1/16, 1/64, -3/64, 
  -1/16, -209/512, 1417/3072, 2771/1536, -36827/128, 1/64, 85/768, 143/512, 
  1/2, -1/128, 373/128, -231/256, -341/128, -19451/4608, 9313/2304, -225/512, 
  5179/9216, 743/1024, 15/16, -5/32, -5/16, 17/72, 1/12, -275/1536, 
  -675/1024, 28783/3072, 163/384, -85/1152, -239/1152, 85/1152, 
  4442636341/4147200, 1584328310629/348364800, -51/32, 25/32, -3/32, -3/64, 
  -59/32, -55/64, 323/64, 89/32, 135321043/64512, 2969/36, -128185187/64512, 
  -157126211/64512, 1060841/18432, -822577/9216, -34303/288, -6500837/6144, 
  -5334209/1344, 951409/9216, 1333589/336, 16974073/4032, 17321501/18432, 
  25/32, -21/32, -25/32, 1/8, -3/64, 17/64, -39/64, -27/32, -649/512, 
  649/512, -649/512, 113/512, 113/512, -273/512, -65/512, 3/32, 889/1536, 
  615/512, 383/1536, 149/1024, 49/256, 41/32, 5/16, -41/32, -41/32, 15/64, 
  15/32, -4442830741/4147200, 193/2304, -1643/2304, -1584365052229/348364800, 
  -13/256, -4442830741/4147200, 25/192, -53/64, -1584365052229/348364800, 
  -535/2304, -4442603941/4147200, -1584581570629/348364800, -79/576, 
  -115/256, -265/2304, 263/1152, 1/16, -19/32, -41/32, 659/1152, 1045/1152, 
  4442503141/4147200, -9/16, -283/576, 1584752426629/348364800, 269/384, 
  9/16, -3/32, 3/16, -3/32, -3/64, 103/64, -7/8, -5/32, -27/4, -61/32, 1/8, 
  1/16, 137/32, -1/32, 5/64, 7/4, 49/32, 167/64, 7/64, -49/16, 195/64, 
  -231/32, 155/32, -17/16, 43/8, 6133523040263/1741824000, 25486957/2304, 
  13813451/5376, -49908803/4608, -609183097/43008, 219735517/516096, 
  -307481/2048, -979902882347/217728000, -469831351/516096, 
  -978453817/129024, -12945565/10752, 952768535/129024, 
  9668042617237/1741824000, 460167733/516096, 5370929/1008, 3347863/3584, 
  -108269797/21504, -53278181/8064, -61504585/57344, -395992117/64512, 
  -19023887/7168, 252716207/43008, 5892131330569/435456000, 
  -258067301/516096, 5/32, -5/32, -5/32, 979038857129/174182400, 1/64, 3/32, 
  -3/64, -18822232243/16588800, 18825861043/16588800, -312566521991/69672960, 
  -1/16, 3/64, 1/64, -17/64, 55/32, -23/64, 9/32, -15/64, 
  18827675443/16588800, 5/64, -5/64, -5/64, 7/8, 1/4, -7/8, 5/8, -7/8, 
  -45/64, -85/32, 5/8, 221/64, 3, 847/1024, -7815/4096, -407/256, -3905/3072, 
  8267/4096, 847/1024, 2471/3072, 1033/768, -4097/3072, 469/512, -1125/1024, 
  369/1024, -1837/3072, 1/8, -531/512, -367/512, -1/32, 9/32, -565/1536, 
  -2355/1024, -2089/3072, 185/512, -1/512, -359/512, 1421/1536, 4011/1024, 
  685/512, 103/512, 11/128, 33/128, 135/128, 11/128, -11/128, -93/32, 93/32, 
  11/128, -201/64, 7/8, -175/128, 21/64, 81/64, -5/32, 5/32, 3/64, 1/4, 
  -49/128, -141/128, -41/128, 83/64, 73/128, 982231262933/87091200, 
  -686555017/921600, 982233304133/87091200, -1509650251/2764800, 1/8, 
  982233304133/87091200, 1371095/13824, 1372289/4608, -1509650251/2764800, 
  -1371185/13824, 4442733541/4147200, -406506123089/69672960, 
  -132835697/1382400, -114493493/345600, -1517280054077/348364800, 
  175726307/3317760, -12317421307/3096576, 182038897139/29030400, 
  561888631/8294400, -182518993/518400, 175726307/3317760, 
  -103772856997/25804800, 364118929141/58060800, 561888631/8294400, 
  -2612982697/8294400, 148400653/8294400, -4617820499/77414400, 
  -1261759897169/77414400, -537539227/8294400, 1949861300993/348364800, 
  217842133/5529600, 455302799/1036800, 270631181/663552, -216445333/5529600, 
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  174710153/2764800, 63/256, -232794133/1843200, -119709667/1843200, 
  -115187/1728, 179594153/1382400, 103297/4608, -562597849/5529600, 
  -572645849/1036800, 1/32, -1/32, -1/32, 5/768, -2061/1024, -2801/2048, 
  9/128, 667/1024, 5/768, -4835/3072, -2217/2048, 9/128, 255/1024, 5/16, 
  421/768, 0, -15/128, -987/256, -17/128, -1/32, 13/384, -17/128, -1/384, 
  -36469/7680, 36469/7680, -11/32, 163/768, 5/96, 841/3072, 859/768, 163/768, 
  -347/192, -4483/3072, 859/768, 151/96, 5/16, -505/1024, -309/1024, 425/384, 
  3055/3072, -1/32, 582923/2304, -1367639/13824, -1373579/6912, -583067/2304, 
  -1/192, 23/384, -47/32, 35/768, -1/96, 1371779/13824, 683815/3456, 
  -1372625/13824, 4443251941/4147200, -580025/2304, -31/32, 
  -397895358689/69672960, 580691/2304, -1/16, -596771/4608, -9/4, 
  575063/4608, 596387/4608, 22346780671/116121600, -12341328155/3096576, 
  179977574939/29030400, -48031562399/23224320, -1740585123869/696729600, 
  39676424351/38707200, -98628766657/77414400, -404703542377/58060800, 
  -4301532293/1548288, 737545686659/696729600, -57853850821/7741440, 
  285765493817/77414400, 70641769603/7741440, 45466441529/19353600, 
  -249751/1536, 50306489/307200, 149031467/921600, 1205451409/2580480, 
  134302182199/232243200, 853882604993/232243200, 66770159759/51609600, 
  -785720051993/77414400, -85211446289/33177600, 1492713919421/696729600, 
  27392929447/8601600, 99975557603/17203200, 203902848983/29030400, 
  -2363340263/1228800, -2591401647323/696729600, -5/64, 15610469/1036800, 
  1773024953/16588800, 3250060231/16588800, 239641333/5529600, 
  472677329/1036800, 6960515629/16588800, 524307277/8294400, 
  3250578631/16588800, 7145/2304, 4429/384, 19681/2304, -7181/2304, 
  -19555/1152, 6119/4608, -47/384, -233190133/5529600, -6353/4608, 167/256, 
  1857746017/2764800, 46753/2304, -7682201747/8294400, 2429765443/2764800, 
  -222935/4608, -8833/384, -762380929/5529600, 17811703889/8294400, 383/128, 
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  -401/256, -1/8, -1/32, 3/32, 1/8, 325/768, -75/128, 5/96, 343/384, 
  -703/768, -165/256, 3/16, 1/32, -7/32, -471/2048, -3065/2048, 0, 133/128, 
  -103/64, -1301/6144, 1117/6144, 275/1536, 13/192, 3/32, 9461/1920, 13/192, 
  3/32, -36469/7680, 451/1536, 33/512, -113/128, 3207/640, 18917/3840, 
  -53/192, 4081/3072, 1463/46080, 3803/960, 17507/3840, 98623/15360, 
  1463/46080, 3803/960, -403/512, 449/3072, 18559/3072, -53/192, 5081/3072, 
  5296949/13824, 10662973/27648, 191/192, -5261633/13824, 3737/3072, 3/64, 
  1639/3072, 1/8, 15563/3072, 159/128, -129/128, -233/192, 547/768, 1057/384, 
  1109/768, 301/64, -1325/768, -3293/3072, 813/1024, 965/768, 273/256, 
  -591/256, -3845/3072, 10331/3072, -6325005723727/232243200, 
  1738557813217/87091200, 22736886586399/696729600, -51326534303/77414400, 
  6798397242127/232243200, 1554513389/129024, -1747663984417/87091200, 
  -14607673758199/696729600, 100792140703/77414400, 253849/3456, -25/96, 
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  -578106313/43008, -79111/576, -979038857129/174182400, 1/8, -275/1536, 
  -113/512, 177/512, -1/16, 3/32, 1675/512, 6097/3072, -149/128, -2893/1024, 
  -13/16, 65/16, -67684717/32256, -1554243917/129024, 77249/288, 
  -1405350691/129024, 897709/2304, -1726016654767/174182400, 
  1947504020017/174182400, 4017400132859/174182400, 208987181197/77414400, 
  44783371/18432, 13612276202989/2090188800, -21732947/8064, 
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  -31285687199/25804800, -31825721/18432, 6382445395811/2090188800, 
  4918961/1792, 1531997551867/174182400, 249763284097/77414400, 
  -168499717/129024, -115219805/8064, 553327/4608, -26511589/1536, 
  -4845385/43008, -1/16, 1/16, 115817/1728, 152405/768, 
  -979038857129/174182400, 22139261443/24883200, -305914508231/104509440, 
  -1049013007529/261273600, 115817/1728, -115817/1728, 115817/1728, -1/8, 
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  37/32, 1021/3072, -71/256, -4593/1024, -7/96, -761/1024, 1021/3072, 
  91/3072, -763/3072, -1961/12288, -53/192, 673/512, -5087/3072, -5381/1536, 
  419/512, 287/512, 7/32, -3/32, 1665/512, 287/256, -19169/3072, -10807/3072, 
  -3001/3072, 4483/1536, 8547/4096, -3799/3072, -44197/12288, -19241/12288, 
  -143/32, -91/64, 143/64, 143/32, 1/4, -77/32, 133/32, 149/64, 143/64, 
  -213/64, -77/32, 3/32, 149/64, 143/64, -3/4, -71/128, -9/8, -9/64, 17/32, 
  -25/16, 33/8, 27/16, 63/32, -77/32, -181/128, 23/16, 1/8, 165/64, -53/16, 
  2537950099/258048, 3352562975/387072, 4857364489/774144, 10456657/1792, 
  -9590690327/774144, 58012427/13824, 956500627/110592, -2280948853/387072, 
  1917740819/387072, -135323833/13824, -9290647/3072, -317798471/129024, 
  70813081/43008, 8547145/3072, -7666503/57344, -433285393/2304000, 
  -5408281/115200, 250721299613/38707200, -2563851167/8064000, 
  97742729753/1612800, 590452587871/19353600, 1868648747171/58060800, 
  -2442718164947/129024000, -475695301/48384, -417296616887/8601600, 
  -107102742457/6451200, -2073865398683/116121600, -693/256, 
  241469780743/96768000, -1251/512, 1063041141457/43008000, 
  -24143629317791/387072000, -1163067967/96768, -85157639/6912, 296857/18432, 
  25138373689/2150400, -1350293/384, -43685832902251/696729600, 
  3956287889/387072, 3687837307543/174182400, 142293103/13824, 
  -476674554911/8709120, -7994906642507/464486400, 437348575/387072, 
  -385490263033/8709120, 94596971/27648, 1683169943933/174182400, 
  -410349844085/386168832, -11897/28032, 410292976757/386168832, 
  7804782025/10726912, 220032044461/386168832, -3053529655/3016944, 
  -67871268533/64361472, -599081465/27583488, 158283612017/193084416, 
  16559988593/144813312, -1168656089/27583488, 167489/28032, 
  679055081/27583488, 54686363953/27583488, 711437202767/579253248, 
  -7912573685/9194496, -53235727701/21453824, 3757008797035/1544675328, 
  -369688283/440832, -497517769337/1158506496, 474351743/21453824, 
  320743363895/386168832, -543395954447/220667904, -141166238153/96542208, 
  -351069393631/386168832, 318458438701/386168832, 758231113453/386168832, 
  25608635519/772337664, 1011911/18432, -1844401/18432, 15671/128, 
  -600905/36864, 2437723/3072, 2415931/3072, -61601/512, -2471155/3072, 
  211/32, -9286799/9216, -6405941/9216, -2352412243/258048, 
  -3005524745/387072, 82289/2304, -2750875/3072, -61777847/43008, 
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  -4319933131/774144, 222464035/24192, -2259632321/387072, 2776725607/387072, 
  86954311/516096, 482382893/2304000, -996919/27648, 3411031/115200, 
  -390970087271/12902400, -1868840197871/58060800, -669419179/1152000, 
  134047777/96768, -1740289/28800, 382763517071/38707200, 
  518909598677/29030400, -92687/9216, 67349/9216, -559/1024, 
  893472658387/129024000, 800006855/193536, -107715347443/25804800, 
  -378385/432, 730029721/12902400, -142252541/1152000, 
  -189132245429/96768000, -5121143/230400, -14013234165359/387072000, 
  -13413047734129/1161216000, -182009801/2304000, 5188345247/2150400, 
  -1295539/230400, 110580595829/25804800, 44280152166731/1161216000, 
  1144569620617/87091200, 1253054395/387072, -921637366891/19353600, 
  71352455/27648, 40868681389/691200, 523833774143/232243200, 
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  -27/32, 3/32, -1/16, -1/16, 19/32, -3/32, -1/4, -1/4, 1/8, 1/8, 19/32, 
  27/32, -1/8, -19/32, -1/32, -1/32, 0, 0, 5/64, 9/64, 1/16, 0, -9/64, -1/16, 
  3/32, 7/16, 1/16, 7/16, 0, -1/16, -3/4, -19/32, 1/32, 17/32, 13/32, 7/32, 
  1/32, -15/32, -1/32, -1/32, -1/32, -1/32, 3/64, 3/64, 3/64, 5/64, 1/32, 
  -3/64, -3/64, 1/8, 1/8, 3/16, 3/16, 1/32, 1/32, -1/32, -5/32, 1/64, -11/64, 
  -1/32, 1/32, -1/64, 0, 0, 3/32, 3/32, -1/64, -1/64, -3/32, 1/64, -1/8, 
  -1/8, 1/8, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 0, 2/3, -1/4, 1/4, -1/6, 
  -5/4, -2/3, 1, 2, 0, 1, 0, -2, 0, 0, -1, 5/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -3/4, 0, -1/2, 0, 2, 0, 0, 0, 0, 3/4, 1/2, 0, 3/4, 0, -3/4, -1/2, 
  -19/24, -1/4, -1/2, 1, 0, 3/4, 3/4, -5/4, -3/2, 1/2, 0, -1, 0, 5/4, 0, 
  -5/4, -7/4, 0, 3/4, 0, -3/4, 0, -1, -2, -3/4, -1/2, 3/4, 1, 1/4, -2, 0, 
  -33/16, -5/6, 7/6, 31/24, 1/6, -43/96, -31/32, 13/24, -133/96, 1/3, -25/48, 
  -19/12, 1/48, -13/16, 1/6, 91/32, 63/32, -7/4, -67/96, -7/12, 0, 0, -1/4, 
  1/4, 1/4, 3/4, 1/4, -1/4, -1/4, 0, 3/2, 0, 0, 0, 0, 3, 1, 9/4, 1/2, 3/4, 
  -1, 0, 1, 3/2, 3/4, -3/4, -2, -15/4, 1/4, 1/8, 0, -1/4, 1/12, -1/12, 0, 
  1/2, -1/8, -1/16, 0, 0, 0, 0, -3/16, 5/8, -1/16, 0, -5/16, -5/32, 5/32, 
  -5/32, 0, 0, 0, 0, -13/16, 0, -5/16, 0, 0, 0, 0, 0, 1/8, 3/16, 1/8, -1/16, 
  0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37/16, 0, 0, 0, 37/16, 0, 
  0, 0, 0, 0, 0, 0, 13/32, 0, 9/16, -7/16, 3/32, -3/32, -9/32, 0, -37/16, 
  9/32, 0, 0, 0, 0, 0, -1/2, 0, 1/2, -3/4, 0, 0, 0, 0, 0, 0, 3/4, -9/32, 1/8, 
  -3/4, 0, -7/4, 43/16, -7/16, -9/8, -27/32, -7/16, -29/8, 0, -1/12, -1/4, 
  -5/48, 3/16, 1/32, 3/16, -1/12, 7/16, -7/16, -5/48, 3/16, -3/8, -13/32, 
  3/16, 0, -1/2, 3/8, 3/32, 1/12, -1/16, -3/8, -1/12, -9/32, -7/16, 3/16, 
  -1/6, -11/24, 1/2, -1/6, 7/8, 1/4, -11/24, -31/12, 1/2, -7/16, 15/8, -5/8, 
  7/16, 3/16, -3/32, 0, 0, -1/8, -1/8, 3/16, -1/8, 3/16, -3/16, -1/16, 0, 
  -43/32, -9/32, -1/8, 3/32, 0, 13/4, 11/32, 1/32, 3/8, 55/32, 29/32, 9/16, 
  25/32, 1/8, 0, -41/16, 3/8, -1/4, 3/16, 3, -19/16, -3/16, 13/16, 41/16, 
  -1/2, 0, 11/16, 7/8, 19/16, -49/24, -1751/576, -827/72, -17/576, 73/36, 
  29/288, 1211/1440, 167/96, 46487/5760, 817/288, 1333/576, 9503/960, -31/24, 
  -109/48, 6019/1152, -1/4, -19691/5760, -39911/11520, -193/48, 96727/11520, 
  17/48, 17/288, 229/5760, -91/18, -329/288, -1807/1152, -7229/160, 
  -5285/576, 877/128, 6295/576, 485/144, -191/2880, 1079/576, -913/240, 
  -427/288, -649/144, -2707/576, -1/16, -709/864, -122987/8640, -8477/3456, 
  1357/864, 1/8, 161/32, 2951/5760, 51/64, -33701/5760, 5/48, 1861/576, 
  110551/11520, 1075/576, -67/96, -1693/2304, 115997/5760, 1463/256, 
  -481/384, -6643/2304, 1/8, -5267/11520, 13049/3840, 55/24, -1325/288, 
  -17/96, -2383/576, -94027/11520, 1625/288, 73/18, 10577/3456, 249379/8640, 
  8405/1728, -3301/1728, -6043/576, 1/8, 1/8, -5/32, -9/32, 5/32, -5/32, 0, 
  1/16, -1/16, 0, -1/16, 0, 3/16, 1/8, -3/16, 1/16, -13/32, -13/32, 5/32, 
  -1/16, 3/16, -1/8, -7/8, 3/4, 7/16, -1/16, 13/16, 21/16, -1/16, 1/16, 
  -1/16, 1/32, 9/16, -3/32, -49/32, 0, 0, 0, 0, 0, 0, 1/8, 5/16, -3/16, -3/4, 
  0, 9/32, 0, -9/32, 0, 3/8, 3/16, -7/32, -3/16, 9/32, -27/32, 0, 3/16, 1/16, 
  1/8, 0, -5/8, -9/16, 0, 1/2, 0, -29/32, 7/16, 51/32, 9/32, 0, 0, 13/32, 0, 
  0, -9/32, 0, 0, 0, 0, 0, 0, 0, 0, 11/8, -5/16, 0, 0, 0, -1/32, 0, 19/32, 0, 
  -3/32, 0, 0, 19/32, 0, -25/32, 0, 0, -27/16, -13/16, -1/4, 1, 21/16, 
  -19/16, -5/4, -3/16, 11/16, 1/4, 21/16, -1/4, 7/8, 2, 17/16, -15/16, -9/8, 
  0, 0, 0, -1/2, -1, 0, 1, -1/2, 1/2, 21/16, -3/4, 9/16, 7/16, -13/16, -7/16, 
  -55/16, -53/16, -1/16, -3/16, 9/4, 41/16, 15/8, -17/8, 0, 0, 0, -3/8, -2, 
  -3/4, 0, -1/2, 1/2, 7/8, -3/4, 0, -9/8, -7/4, -1/8, -1, 0, -7/8, 5/16, 
  13/16, 3/2, -1/4, -7/8, -9/8, -1/4, 11/8, 0, 0, 0, 0, -9/128, -13/64, 
  9/128, 0, 13/64, 0, 9/128, 65/128, 3/32, -5/64, -161/64, 9/128, 0, 5/16, 
  -11/64, -11/32, -19/128, 47/64, -7/32, 0, 7/32, 7/32, 0, 73/128, -9/64, 
  69/128, -83/128, 1/8, -49/128, 0, -73/128, 3/128, -33/32, 403/128, 147/128, 
  -9/128, -267/128, 0, -267/128, -7/64, -253/128, -29/64, 3/32, 47/128, 
  -125/128, -91/128, -47/128, 81/64, 0, -7/32, -81/64, 9/128, 0, -9/128, 0, 
  15/64, -27/128, 3/32, -17/128, 0, -11/64, -27/64, 25/16, 0, -9/128, 9/64, 
  -1/32, 11/64, 0, 31/64, -29/128, -1/4, -189/64, -11/32, -17/64, -5/16, 
  39/64, 0, -1/16, -5/24, 7/48, 0, 3/16, 23/96, -3/32, 5/16, 19/48, -19/192, 
  -3/8, -23/96, -1/4, 5/128, 3/16, -5/128, -1/12, -19/96, 1/4, 3/32, -5/96, 
  -1/16, 1/3, -7/48, 3/64, -77/384, 3/64, 27/128, -13/64, -1/32, -5/128, 1/8, 
  3/32, -1/12, 5/12, -29/96, -19/96, -11/16, 1/4, -3/16, 3/32, -1/6, 5/16, 
  -5/96, -1/16, -9/32, -33/256, -3/16, -37/384, -27/64, 3/64, 15/32, 53/128, 
  3/64, 47/128, 19/256, 11/64, -5/16, -5/24, -17/96, 11/24, 13/48, -1/8, 
  77/192, 0, -41/32, 0, -7/64, 7/16, 1/12, 59/192, -1/32, 11/48, -157/192, 
  -1/4, -43/192, 13/24, 49/192, 5/192, 7/24, -1/16, 5/64, -37/96, 3/32, 
  11/64, -3/32, -3/8, 0, -1/16, -37/64, 11/32, 1/64, 3/64, 7/64, -1/64, 
  -25/64, -3/16, -33/64, -1/64, 11/64, 33/64, 7/32, -7/32, 3/32, 3/32, -3/32, 
  -3/32, 1/4, 1/4, -7/32, -5/16, 3/32, 1/64, -15/64, 7/32, -1/64, 1/4, 1/4, 
  -13/64, -13/64, -15/32, -23/32, 13/64, 15/32, 0, -95/128, -9/128, 0, 
  105/128, 0, 59/64, 11/128, -5/32, -249/128, 0, 1/64, 0, 9/8, -1/64, 0, 
  141/128, 27/128, 1/32, -5/16, -11/32, 43/128, 3/8, -1/2, 15/64, 15/64, 
  -1/64, -71647/11520, 2713/1440, -1/4, -99323/23040, 8369/1920, -377/96, 
  101947/23040, 17/48, 317/288, 89947/11520, -12689/1440, 227/192, 
  24581/1920, 719/144, 13/24, 51049/2880, 127/288, -181/144, -3957/512, 
  7485/512, -667/384, 42275/2304, -106313/6912, -10805/864, 26333/3456, 
  -36211/4608, -6761/6912, 6019/1536, 27869/7680, 209611/23040, 2951/11520, 
  1/8, 40793/11520, -257797/23040, 49/64, -58039/7680, 5/48, -3/8, 
  -10369/7680, -497/768, 791/384, 30317/23040, -833/1152, 15/16, -515/192, 
  -365/96, -19/32, 35105/13824, 2702677/345600, 745927/86400, -2369/512, 
  34871/12800, 8387/6912, -20933/4608, -2821423/172800, 545/512, 16727/6912, 
  -24227/6912, 104041/13824, 57581/13824, 25357/13824, -6019/4608, 
  30229/7680, 70193/23040, 243/1280, 1/8, 61519/23040, -78221/23040, 13/6, 
  -35/24, -17/96, -3/8, -204587/23040, -69367/11520, -2579/1152, -5003/7680, 
  187/96, 15/16, 3719/576, 511/144, -19/32, 46661/13824, -40747/115200, 
  15503/10800, -32929/13824, 5715679/345600, 11285/3456, -2585/512, 
  936463/57600, 40865/13824, 8255/6912, -27473/13824, -162557/23040, 
  -28933/6912, -11377/13824, -6019/2304, -179/384, -341/960, 2951/11520, 7/8, 
  -2779/1440, 5/48, -55267/11520, 119167/11520, 323/384, -5597/7680, -9/64, 
  -1033/288, -80099/5760, 1493/576, 847/288, -1/16, -1772569/172800, 
  2385043/345600, -631/384, 896729/115200, 11/48, 41833/13824, 
  4210909/345600, 6887/13824, -9091/6912, -399/512, -1019659/69120, 
  -10037/4608, -58201/13824, 2017/512, 1/16, 1/16, -1/16, -1/16, -3/32, 
  -3/32, -1/32, 1/32, 1/16, 3/16, 3/32, -1/32, -3/32, 25/32, 21/32, -1/8, 
  -25/32, -25/32, -5/4, -1/2, 5/8, 15/32, 5/32, -1/16, 1/16, 1/8, 11/32, 
  -1/16, -1/8, -9/32, 0, -1/16, -41/64, 1/16, -11/32, 33/64, 1/4, 11/64, 
  11/32, -3/16, -7/64, 29/32, -23/32, -3/32, -61/32, 139/64, 59/64, 29/32, 
  7/32, -53/64, 1/16, 1/8, 1/16, 1/8, 3/32, -1/32, -5/32, -5/32, -1/16, 
  -5/32, -11/64, 7/64, 3/16, 5/32, 11/64, 7/32, -5/32, -7/64, 33/32, 29/32, 
  -1/8, -9/16, -9/16, -17/8, -67/64, 13/32, 55/64, 5/32, -1/32, -1/16, 3/32, 
  1/16, -1/16, -1/32, -3/32, -1/8, 1/32, 3/16, 3/16, 1/32, -3/16, 1/32, 
  11/16, -1/16, -1/32, -31/32, 9/32, 5/64, -1/2, -11/32, 7/32, 71/32, 37/32, 
  0, 5/128, 5/128, -1/64, -3/64, -1/32, 1/64, -9/128, -3/128, -11/64, 21/32, 
  5/32, -65/128, -21/32, -19/128, 19/128, 19/128, 11/128, 11/128, 5/32, 5/32, 
  -1/4, -1/4, -25/64, -61/128, -5/32, -1/64, 15/64, 25/64, 1/64, -25/64, 
  -25/64, -63/128, -63/128, 39/64, 1, 63/128, -39/64, 9/64, 9/64, -9/64, 0, 
  11/256, 0, -11/256, 0, 9/128, 0, -7/256, 0, -3/32, -3/32, 9/128, 3/32, 0, 
  83/128, 1/32, -1/32, -99/128, 0, -83/128, -93/256, 243/256, 81/128, 
  -361/256, -25/64, -55/256, 49/256, -9/64, 29/128, 0, 0, -41/64, 0, -3/32, 
  0, 0, 0, 3/16, 0, -29/128, 29/128, 29/128, 0, 0, 0, 0, 3/256, 0, 23/128, 0, 
  -5/64, -101/128, -13/64, -11/64, 211/128, 0, 17/128, 67/256, 1/32, 1/64, 0, 
  0, 21/256, 0, 49/128, 0, -5/64, -129/128, -49/64, -11/64, -211/128, -1/4, 
  81/128, -1/32, 5/4, 0, 29/32, -57/128, -125/64, 17/64, -7/64, -55/256, 
  -23/64, 45/128, 0, 29/128, 0, -1/16, 0, -31/64, 0, -3/16, 0, 29/256, 0, 0, 
  41/128, 0, -107/64, 0, 145/256, -89/64, 0, 0, 9/16, 0, -1/4, -3/16, -1/8, 
  1/8, -5/2, 3/4, -41/8, -51/16, 1/32, 5/16, -15/32, -1/16, -1/4, -1/32, 
  5/32, -25/16, 219/64, 419/64, 121/64, 7/32, -3/16, -17/32, -181/64, 3/16, 
  1/16, -3/16, -7/32, -1/4, -15/16, -47/16, 11/64, -99/64, 7/16, 1/32, 47/16, 
  119/64, -1/16, 37/128, 3/2, 3/16, 199/128, 5/32, -57/64, -3/16, -199/128, 
  1/8, -61/128, -309/128, -121/128, 235/128, 93/128, 1/16, -1/16, -25/32, 
  -1/2, -1/8, 5/32, 1/16, 5/32, 9/16, -5/32, -1/16, 0, -1/32, 1/32, 1/16, 
  -17/64, -251/64, -19/8, 101/64, 11/32, 5/16, 1/4, 101/32, -3/16, -1/32, 0, 
  1/32, 0, 21/64, -9/128, 27/64, -15/64, 3/32, -25/128, 0, -5/32, -5/32, 
  -13/64, 61/128, 87/128, 5/128, 11/128, 9/128, 9/128, 33/128, 9/128, -1/32, 
  -3/16, -61/64, -19/64, -147/128, -57/128, 3/8, 11/128, -119/128, 115/128, 
  -11/128, -37/128, -9/128, -3/8, 0, 77/64, 121/128, -13/32, -77/64, 7/32, 0, 
  -7/32, -1/32, -5/48, 1/12, 1/32, 11/48, 1/24, -1/16, 1/8, 13/48, -61/192, 
  -89/192, 0, -3/32, -5/48, 1/16, -21/256, 1/24, 7/384, -59/256, 11/96, 
  -127/384, -1/8, -13/64, 63/256, -19/64, 1/3, -17/192, 15/64, 43/192, 1/32, 
  3/8, 7/64, 39/256, 5/64, 5/64, -57/128, -3/256, -9/64, -75/256, 3/64, 
  61/256, 27/128, 27/128, 0, 0, 0, 0, -21/64, -69/128, -1/32, -1/32, 3/64, 
  3/64, -1/64, 5/16, 1/32, -3/64, 1/64, -7/64, -7/64, 1/8, 1/8, -3/32, 1/64, 
  1/64, -7/64, 3/32, -1/64, 1/8, 1/8, -1/8, 28349/7680, 209611/23040, 
  2951/11520, -179/384, -6173/3840, -256357/23040, 7/8, -88837/23040, 5/48, 
  35/192, -47033/4608, -497/768, -1543/2560, 279181/23040, 287/384, 
  27161/11520, -9/64, -667/192, -5207/1440, -1145/576, -51407/11520, 
  1709/1152, 1181/288, 571/192, 205/576, -2071573/345600, 1447589/172800, 
  -1/16, -1719019/172800, 40747/4608, -619/384, 108643/38400, 11/48, 139/128, 
  -2457143/345600, -39409/4800, 25069/13824, 6892001/345600, 42923/13824, 
  -6313/3456, 1008049/57600, 31/72, 487/864, -27329/13824, 5173/1600, 
  -30437/5400, 49/16, -107917/57600, 5813/13824, 16813/3456, -223259/21600, 
  -109183/13824, -14063/3456, 20339/6912, 7439/2560, -13519/6912, 
  -20411/6912, 6019/4608, 1/16, 1/16, -1/16, -1/16, -3/32, -3/32, -1/16, 0, 
  -1/32, 1/32, 15/64, 9/64, 3/64, 3/64, 1/32, -9/64, -3/64, 9/16, 9/16, 
  -1/16, -23/32, -21/32, 1/16, 1/16, -1/32, -69/64, -31/64, 1/4, 27/32, 
  -1/16, 1/64, 25/64, -17/64, 1/64, -1/4, 17/32, 25/32, 1/8, 1/8, 23/32, 
  -5/16, -1/8, -25/64, 1/32, 1/32, 1/32, 1/32, -3/64, -3/64, -3/64, -5/64, 
  -1/32, 3/64, 3/64, 0, -11/256, -11/256, -1/32, -1/32, -1/8, -1/8, -7/64, 
  -17/256, 1/32, -1/64, 7/64, 7/64, 1/64, 9/128, 9/128, -33/256, -33/256, 
  -25/128, -17/64, 33/256, 25/128, -9/128, -9/128, 9/128, 29/256, 29/128, 0, 
  29/256, 0, 0, -5/64, 3/128, 1/32, 33/256, 0, -3/32, -91/128, -35/64, 0, 
  -1/16, -1/16, -29/128, 0, 87/256, -211/128, 51/128, 107/256, -1/32, 47/128, 
  0, 35/64, 73/256, -67/64, 11/128, 29/256, -29/128, -35/64, -23/256, -5/32, 
  3/16, -1/8, -1/32, -1/16, 1/32, 1/16, -5/8, -5/2, -11/16, -35/8, -3/32, 
  -31/16, -1/16, -5/32, 33/16, -7/64, 255/64, 61/32, 7/16, 25/64, -1/8, 
  -1/16, 1/32, 1/16, -11/128, 315/64, -1/64, 647/128, 0, 13/64, -101/32, 
  -471/128, -25/64, 7/32, -3/16, 3/8, -1/8, 5/64, -469/128, -45/64, 227/128, 
  -7/32, 3/16, 53/64, 0, 0, 0, 0, 0, -1/4, 0, 3/2, 0, -1/4, -7/12, 1, 1, 
  -3/2, -5/12, -5/12, 1/2, -1/6, 1/2, -7/12, 0, 1/2, 0, 0, 1, 0, 19/48, 13/6, 
  -37/24, 1/2, -1/4, 0, 1/4, -1/2, -1, 0, -1/2, 1/4, -1/4, -1, -7/12, -7/12, 
  1, -47/48, 1, -14/3, 13/32, 19/32, -1, -5/2, 1/12, 0, 3/2, 3/2, -1, -1/6, 
  8/3, 1/2, 0, -8/3, 29/12, 0, 0, 1/2, -1, -3/4, 17/24, 7/3, -13/6, 11/8, 
  37/24, -65/16, -1, 0, 0, -7/4, -1/2, 2, 0, 1/2, 0, 0, -1, 0, 1, 1/4, 0, 
  -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/16, 1/16, -7/48, -1/4, 0, 0, -3/4, 
  -5/48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7/4, 0, 0, 0, 0, 0, 0, 1/4, -1/6, 0, 
  0, 0, 0, 0, -29/16, 0, 1/6, 13/8, -13/24, -3/4, 3/4, 1/4, -1/4, -1/4, -1/2, 
  -3/4, -2, -7/8, -15/8, 2, 1/8, 1/4, -1/4, -3/8, 3/4, -3/2, 3/4, -7/8, -5/8, 
  -9/4, 1/12, 0, -3/2, 3/4, 0, 0, 0, 29/128, 0, -145/128, 0, 0, -29/32, 0, 0, 
  -1/4, 7/2, -1/4, 0, 29/16, 0, 0, 51/16, 0, 13/8, 11/16, 0, 0, 0, 0, 0, 0, 
  0, -1/4, -1/2, 1/8, 1/2, -715/72, -6743/576, 3019/288, 2053/576, -509/64, 
  1, 39/32, -1/8, 25229/3456, 3/8, -1/16, -45/128, -5/16, 1, -5/128, -3/4, 
  -3/8, 0, 7/48, -7/12, -7/48, -29/48, -5/16, -29/48, -11/8, -11/24, -5/16, 
  11/8, -3/4, 463/384, 43/48, 0, 5/4, 28487/1728, -22595/1728, -679/144, 
  -3403/576, 1577/288, -1307/1152, -1867/384, 7/8, -45857/3456, 1709/384, 
  84631/6912, 16405/1728, -74785/6912, -32911/6912, -32849/3456, 16039/6912, 
  -34301/6912, 4571/6912, -317/2304, -46733/6912, 16039/6912, 15/64, 
  23825/6912, 3/8, -26777/1728, 20705/2304, 12175/1728, -63/128, 87/128, 
  -63/128, -87/128, -139/128, 119/128, 3/16, 1, 31/8, -1/4, -1, -3/4, 
  -319/128, 157/24, 19/4, 311/128, 3/4, 37375/576, 9109/144, 1/2, -9295/144, 
  -37/16, -3/8, -5/48, 37/16, 43/192, -43/192, -115/192, 43/192, -101/192, 
  727/384, 1099/384, -209/64, -857/384, -1/3, 1, -11/12, 17/3, 0, 0, 0, 0, 
  47/16, 0, 23/12, 49/24, 39/8, 101/32, 1457/96, -15/8, -491/32, -577/48, 
  2501/192, -7/6, -631/64, -33, 247/96, -655/32, 5/3, 1925/96, 689/24, 0, 0, 
  0, 0, 0, 29/32, 0, 0, 29/128, 29/32, 0, 0, 0, -1/4, 3/4, 0, 0, -1/2, 
  -29/16, 0, 491/128, 0, -115/128, -491/128, -3/2, 0, -3/4, -1/4, 7/4, 1/2, 
  0, -3/4, -1/2, 3/4, -5/4, 0, 5/4, 1, -15/8, 13/6, -13/4, 13/24, 1/4, 3/2, 
  -1/4, 13/4, -2/3, -67/48, 31/16, 137/48, 29/6, 25/16, -5/6, -401/96, 
  -1295/192, 1147/192, -11/32, 61/96, -1051/96, -965/96, -541/48, 1193/96, 0, 
  3/8, -37/32, 0, 0, 0, 13369/4608, 5/6, -8401/4608, 8473/2304, 3/20, 
  4031/2880, -37/80, -228767/11520, 3/40, -3671/1440, -37/160, 429803/23040, 
  -112367/4608, 3/2, -17/8, -10/3, -9/8, 7/2, 17/4, 73/24, 0, -979/960, 
  -16657/2880, -19/40, -35891/11520, 0, 0, -3/16, 3/16, 15/32, 0, 0, 
  -979/320, -67933/3840, -57/40, -1159/960, -23/80, -11391/1280, 15/32, 0, 0, 
  7/4, 0, 0, -3/8, 0, -1/4, 3/8, -1/8, 0, 0, -3/8, 3/4, 0, -13/8, -5/8, 0, 0, 
  0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -7/8, 1/2, -1/8, 0, 0, 0, 1/4, 17/8, 0, 
  -17/8, -2, 0, 0, -47/144, -10/9, 11/18, 0, 0, -29/64, -29/16, 0, 0, 0, 
  -1/144, 65/144, -193/288, 1/6, -69/32, -17/72, -181/192, 185/144, -227/576, 
  13/36, -53/128, 205/1152, -11/32, 3293/1152, -19/36, 83/96, -1265/1152, 
  -233/384, 193/288, -1/2, 1, -3/8, 0, -9/8, -27/8, 1/16, 25/8, 5/8, -9/16, 
  -1, 11/8, 9/16, -3/8, 63/16, -1/4, -33/16, 9/16, 9/8, -17/8, -13/16, -35/4, 
  15/8, 0, -3/16, 71/48, 1/8, 157/96, 0, -3/2, 19/48, -47/16, -3/2, -1/16, 
  -17/12, -15/16, 11/16, 3/16, -83/144, -691/288, 55/36, 319/320, -133/96, 
  7/9, 1075/288, 98891/5760, 693/32, -4199/432, -10829/864, -1/4, -1621/2880, 
  43/48, 367/288, -37/48, 59/16, -409/576, -289/36, 1/2, 5869/1728, 
  -95701/5760, -21541/1728, 17839/1728, 8405/864, 63/8, -225/32, 225/16, 
  -225/32, 117/32, 0, -153/16, 27/8, -237/16, 0, 537/32, 237/16, 1/8, -1/4, 
  1/8, 5/4, 0, 27/32, -7/8, 153/16, 0, -239/32, 57/32, 495/32, 0, 3/16, 
  -3/16, 0, -3/16, 0, 0, -3/16, 3/16, 3/16, 0, 1/8, 3/16, -9/32, -15/32, 
  9/32, -1/8, -3/16, 1/8, 0, 3/16, 0, -3/16, 0, -3/16, -3/16, 9/32, 3/16, 
  145/256, 0, 125/128, 0, 0, -11/256, 0, -125/128, -9/128, 0, 107/128, 
  87/128, 0, 3/4, 0, 9/128, -145/128, -9/64, 0, 211/32, 543/128, -977/512, 0, 
  -1479/256, 0, -3/2, -27/64, 179/32, -65/32, -295/128, 457/512, 125/64, 
  -15/8, -7/32, 0, 29/64, 0, 0, 923/256, 0, 23/8, 0, -17/8, 0, 147/64, -9/64, 
  0, 0, 0, 0, 0, -1/4, 3/8, 17/32, -183/32, -1/16, -9/8, -25/16, 185/32, 
  -7/8, 0, 0, 0, 0, 0, 43/16, 0, -55/16, -3/8, 1/2, 0, -1/2, 59/16, 3/4, 
  3/16, 1/48, 5/96, 16603/6912, -78967/6912, 403/108, -10045/3456, 1699/864, 
  4919/864, 21719/6912, -33383/6912, 26903/6912, 0, -20639/6912, -5/64, 1/16, 
  15/32, -1/4, -1/4, -29/64, 9/32, 49/256, 1/16, -19/192, 11/16, -3/16, 
  47/768, 13/96, 7/96, -5/128, -5/384, 5/96, -23/384, -3/32, 95/96, 3/32, 
  -19/24, 1/128, 29/384, -53/384, -1/24, -13/384, -713/288, 297/128, 35/1152, 
  6065/1296, -763/81, -32681/5184, -19877/3456, 17189/1152, 4249/1728, 
  2936993/20736, 4013987/31104, 4607/1728, -185401/4608, 3138197/41472, 
  -10631/3456, 659093/20736, -9905/3456, 1893331/20736, -6704083/62208, 
  -1578061/20736, -20629/13824, 4607/1728, -1723/128, -6943/320, 
  -215467/4608, -3424669/34560, -690611/20736, -10631/3456, 16027/1152, 
  433897/10368, -9905/3456, 1777759/20736, -1756081/34560, -42901/15552, 
  -1603357/20736, -10079/2304, 105/64, 2927/384, 47993/5760, -305/192, 
  -31/24, -8437/864, -14093/2304, 494857/10368, 14357/1728, -2316415/20736, 
  475501/8640, 914465/10368, -1551463/20736, -865907/7776, 28631/13824, 
  -27767/13824, -1/16, -25877/6912, 22259/13824, 23123/13824, 1587601/13824, 
  -1507955/13824, -1423373/13824, -16039/6912, -77/192, 174493/1536, 
  -399019/3456, 173/384, 1316659/41472, -25/384, 6251851/41472, -31525/13824, 
  -6446353/41472, 14959/13824, -77/192, -28205/2304, 5435/13824, 61625/576, 
  823565/6912, -1757/4608, 173/384, 10945/1728, 333979/10368, -25/384, 
  5929987/41472, 61441/13824, -1496065/13824, -6155593/41472, 16039/13824, 
  -1/4, -11/16, 5/8, -29207/4608, -1542565/41472, 24299/4608, 7383887/41472, 
  -1607137/13824, -1862713/20736, -445/768, 3/16, 17/128, -41/128, -1/4, 
  -33/128, 1/16, 209/256, -15/32, -249/256, 1/64, -3/16, -81/256, 9/32, 
  123/256, -5/32, -211/256, 189/256, -55/128, -3/16, -89/256, -147/256, 
  23/48, 139/256, -5/12, 9/32, 107/256, -91/96, -5/32, -203/256, 79/128, 
  47/128, 197/256, -49/128, 5/12, 83/128, 1/8, -11/12, -135/128, 1/4, -7/8, 
  1/8, 215/48, 5/4, -191/128, 5/8, -9/128, -99/128, -9/8, -5/8, -37327/2304, 
  -25/48, 37327/576, 7/12, 38515/2304, 37327/2304, -11/6, -95/192, -3/8, 
  4829/288, -4793/288, -7/32, -9457/576, 29/48, -5/192, 1231/1536, 8977/144, 
  36883/2304, -3/8, -77/32, -38975/768, 4391/288, -69385/1536, -61337/4608, 
  -7/32, 41/48, -10447/576, 29/48, 409/192, 312737/4608, 63581/4608, 
  17651/288, -2015/1536, 1/12, -1255/768, -37327/2304, -11/6, 679/768, 5/4, 
  5/16, -36169/768, 703/768, -11/24, 231/256, 40507/2304, 1813/1536, 
  35177/768, -487/384, 5/12, -25579/1728, -9271/576, 0, -47/64, -3077/64, 
  25/24, -85595/9216, 51983/1152, 124955/9216, -3878039/69120, 105167/1152, 
  1146553/13824, 383509/3456, -43513/4608, 8319931/69120, 1255/384, 
  108983/3456, 7/16, 33539/1024, -11908127/138240, -107471/3456, 
  -316025/9216, 38299/1536, -2972701/69120, -73667/1728, -363281/4608, 
  -17015/288, 1/4, 3510781/46080, -5108731/138240, 57/32, 3065/3456, 5/24, 
  -18713/1536, -229987/69120, 2983/3456, 116069/3072, -79991/3456, 
  9635237/69120, -5/128, 1368817/13824, 163193/3456, 5/16, -1/8, 1/16, 75/32, 
  0, 7/8, 0, 1/8, 0, 0, 0, 0, -1/8, 3/16, 0, -1/8, 0, 0, -63/256, 0, -3/8, 0, 
  29/64, 0, 47/64, -211/32, 0, 0, 139/256, -303/256, 953/512, -29/16, 17/16, 
  639/512, 0, 0, 83/256, -55/64, 0, -83/64, 0, -277/256, -633/512, 195/128, 
  537/512, -315/256, -3/64, 11/8, 1149/512, 0, 0, 27/512, 0, 0, 29/256, 0, 
  1043/512, 0, -1579/512, 0, -197/512, 5/16, 1, 21/16, -19/8, -1/8, 1, -1/2, 
  5/16, 7/16, 7/8, 3/4, -3/8, 3/4, 1/8, 0, -65/32, -3/2, -1/8, -9/16, 93/32, 
  -1/4, 9/16, 7/4, 49/32, 1/8, -3/8, 2, 5/8, -11901/4000, -1459739/24000, 
  -163/360, -1423/960, 17/12, -19667/2880, 10513/2880, 93757/5760, -8309/320, 
  113/48, -455/96, -53/96, 13/48, -473/288, -12539/1152, -3341/384, 
  17387/720, 10749/160, -10493/960, 2/9, 6683/1152, -20757/320, -59/288, 
  -77/96, 27703/540, 167/96, 25/96, 28569/1280, 142355/2304, 24247/5760, 
  -120341/1920, -458179/3840, 4997/2304, -266741/5760, -479729/11520, 
  95153/640, 271081/11520, 873907/17280, -12287/8640, -537101/5760, 
  -439781/8640, 6583/1152, 9/80, -1781/5760, -111/320, -3983/4800, 1169/3000, 
  5758301/288000, -9/20, 111/80, -9019/5760, 5291/9600, 2439991/76800, 
  637/360, -6903/16000, -6957733/230400, 2813/6000, -4023443/384000, 
  -357247/11520, -7628897/230400, 1833049/32000, -4859/9600, -417701/11520, 
  -4361/1920, -2687/24000, 118217/3840, 78481/48000, -2407213/144000, 
  -2003483/57600, 231493/18000, 17639441/288000, -13114873/345600, 
  -472927/17280, -19201811/345600, -21638423/172800, 9/80, -1241/5760, 
  -111/320, -4883/9600, 1431271/230400, 23227/48000, 10620547/1152000, 3/40, 
  -1520569/46080, -37/160, -9564661/230400, 17/16, 1/4, 11/16, -7/48, 
  -227/144, 15/64, 401/72, 2327/432, -128183/17280, -805/144, -971/432, 
  2791/864, -1/64, 391999/17280, 31/108, -17081/1080, -41629/1920, 
  29167/17280, -2003/864, 131173/6912, -121/64, 155183/34560, 3889/864, 
  1525/432, 1993/864, 13/64, 209/96, -500099/11520, -1511/432, 661967/17280, 
  -170017/3600, -684343/14400, -1/16, 667693/14400, 168217/3600, -3/16, 
  -3/16, 3/16, 49/64, 49/64, 13/32, 1/32, -49/64, -7/32, 5/16, -1/16, 
  -5452469/57600, -5/16, -859/1920, 9320407/57600, 3/40, -8365471/115200, 
  -829/960, -41/160, 3338297/57600, 619/1920, -683399/12800, 
  -10869163/115200, 77/1920, -3426047/38400, -11/20, 619/1920, 1275349/38400, 
  7112911/115200, 3/10, 1030799/19200, -1/16, 33/16, -7165111/115200, 
  -1034099/19200, -1, -3324797/115200, -11/16, -497/240, -847313/14400, 
  -177/160, 1039/1920, 207661/4800, 63/160, 27971/23040, -559/1920, 
  -18067/1920, -43/160, 4376987/115200, 3204197/115200, -1, -3/4, 1/4, 1/2, 
  -21/16, 3/32, -33/16, -21/32, -3/4, -51/8, -1/4, 15/16, 15/4, 3/16, -9/4, 
  -11/16, -9/4, -7/16, -10, 1/4, -69/16, 9/16, 107/16, -9/16, -19/8, -107/32, 
  0, 53/32, 7/8, -49/4, 9/16, 329/32, -15/32, -235/32, 0, 0, -31/48, 0, 
  29/384, 5/16, -17/24, 29/384, -17/24, 0, -29/64, 0, 0, 0, 29/64, 0, 0, 
  989/384, 49/192, 0, 0, 0, 0, 19/64, -25/32, -19/64, 25/32, -55/64, 55/64, 
  0, 1/16, 11/16, 25/32, -49/64, 3/16, -3/16, 11/16, 33/64, -21/16, -1/2, 
  -247/64, -35/16, -9/8, 0, 75/64, 0, -75/64, 0, 1/2, 73/16, 75/64, -73/16, 
  -43/64, 3/8, 43/64, 117/32, 15/16, 0, 0, -29/48, 0, 29/384, 203/384, 
  -29/48, 203/96, -2591/576, -7/48, -731/128, 67/16, 0, -29/384, 0, 0, 
  -100999/2304, 0, 102217/2304, 0, -203/384, 0, -29/48, 43/288, 23/72, 
  -55/48, -215/384, 305/288, 349/1152, 19/1152, -31/96, 4997/1152, 1469/576, 
  -497/384, -271/384, -11/96, -973/768, -727/1152, -4543/2304, -1421/1152, 
  1/384, 6103/2304, 761/2304, 785/1152, 489/256, 193/576, 41/36, -6323/2304, 
  5/128, -9/8, 41/96, 257/384, 1129/384, 119/192, 1/16, -137/128, 0, -5/4, 
  433/384, -11/48, -125/32, -451/96, 439/128, 5/8, -649/384, 575/128, 11/16, 
  5/8, -85/48, -347/384, -97/128, 19/16, 1/16, 127/128, 385/192, -339/128, 
  -215/128, 27/32, 15/64, -7/16, -27/32, -1331/11520, -1/4, -233/640, 43/48, 
  29/18, -37/48, 1/4, 3167/2304, 2347/1728, -163477/23040, -14489/3456, 
  -53/64, -599/1152, 10361/1152, 9/16, -515/432, -3141/640, 4457/1152, 
  -527201/23040, -18607/1728, 2845/3456, 266381/11520, 465581/20736, 
  -33289/3456, -4195/5184, 650881/103680, 80389/6912, -17519/1296, -55/36, 
  -37/16, 1/64, -1/8, 295/64, -1/64, 1/8, -147/64, 0, 5/16, 199/64, -5/64, 
  -219/64, -99/32, 211/64, -5/16, -1/16, 127/32, 281/64, 1/2, -1/16, -295/64, 
  -23/32, 5/32, 201/64, 233/32, 87/16, -487/64, 583/64, 579/64, -21/32, 
  -147/16, -9/64, 13/64, 0, 125/256, -13/64, 0, -89/256, 0, -57/64, 9/128, 
  31/128, 259/256, -3/16, -1/128, 7/64, -37/32, 1/128, 9/64, -55/32, -1/8, 
  21/256, 203/128, -19/256, -99/128, 57/128, -409/256, 81/128, 97/64, 1/8, 
  -9/128, -97/64, 0, 29/32, 87/256, 0, -203/256, 0, 633/128, 331/128, 
  -1143/1024, 0, -163/64, 0, -5/4, -207/256, 801/128, -7/64, -211/128, 
  -97/64, 7/256, 0, 163/256, -2, 709/512, 383/128, 3/8, -9/128, -9/64, 0, 
  15/64, 0, 0, -9/128, -1/128, 9/128, 1/16, 1/128, -1/16, 5/2, 123/128, 21/8, 
  -107/128, 3/128, -5/2, -723/128, 0, 0, 9/128, -9/128, -1/16, -5/64, 1/8, 
  7/128, -11/4, 41/32, 675/128, 0, 33/128, 1/8, -1/128, 0, 1/144, 3/128, 
  -1/24, -1/12, 1/8, -5/96, -3/16, 97/288, -175/576, 3/32, -29/192, -5/72, 
  -349/2304, -217/576, -5/64, 55/576, 319/768, 977/2304, 1/192, 721/2304, 
  5/384, -3/64, -595/2304, 14839/3456, -7217/2304, 259/192, -4534139/172800, 
  -1145737/21600, -161/64, 33883561/1036800, -5/12, -43205/3456, -46927/2880, 
  -3785/768, 2235823/115200, -655019/20736, 4741/864, 5603/2304, 89/288, 
  171026993/1036800, 6368203/43200, -843173/20736, -123932753/1555200, 
  54083/6912, -6863/1152, -375690659/1036800, -410803/10368, 4499/1152, 
  -3436985/41472, -15517537/103680, -72337/13824, 1531243/20736, 3523/512, 
  22727/13824, 1547605/27648, 3/16, -1/8, 496013/9216, -1540693/27648, 
  -13/32, -1536085/27648, 3/8, -29459/4608, -25/64, -28127/13824, 
  840311/20736, 1590301/41472, 27569/6912, 19343/13824, 32015/13824, 
  3075029/20736, -7/16, 1269067/41472, -1613605/13824, -317/4608, 
  -27695/6912, -125983/2592, -3080411/41472, 23591/13824, -166541/5184, 
  -1501/1536, 10655/6912, 783827/20736, -16039/13824, -5/32, 5/48, -43/192, 
  -19/256, -25/96, 163/768, 1/16, 1/8, -43/192, 239/384, 187/384, 1/32, 
  23/192, 7/32, -17/64, 69/128, -313/768, 255/512, 29/96, -13/64, 1/8, 
  295/768, -1/64, 87/256, -69/128, -41/128, -37/128, 63/256, -219/128, 
  -29/128, 29/128, 11/32, 153/256, -3/16, 17/32, 39/256, -25/48, 1/128, 
  219/128, 11/32, -29/128, -11/32, -215/256, 3/16, -17/32, -1/16, 89/96, 
  -1/128, -15/128, 31/128, -23/256, 9/32, 37615/2304, 1/16, 34111/2304, 
  -37615/2304, -43/32, -35407/2304, 1, -59/48, -37711/768, -125/192, 
  -73999/1536, -545/1536, -5/24, -185/192, -7/32, -24811/1024, -37327/4608, 
  -60743/9216, 159103/9216, 71489/9216, 209/192, 149731/1536, 146/3, 13/192, 
  72287/9216, 37369/2304, -2489/3072, -74965/1536, -36895/4608, -11971/69120, 
  579053/69120, -1909/11520, 1/4, 252649/4608, -3445513/69120, 3/2, 
  47213/6912, 5/24, -46393/4608, -735979/69120, 2630761/27648, 156125/27648, 
  12857609/92160, -43757/6912, 38499/1024, -4249637/138240, -4970995/55296, 
  -147805/2304, -38081/27648, -2678477/115200, 16726517/691200, -40079/6912, 
  64928801/230400, -15139/3456, 2131697/55296, 42905569/460800, 
  -5981753/27648, -12291365/55296, 10739/1024, 1723639/15360, -280223/2304, 
  -8716831/27648, -971285/6912, 1/8, -1/8, -3/32, -3/32, 1/16, -9/64, -11/32, 
  -11/64, 3/32, -3/64, 5/32, 19/64, -1/64, 1/2, -1/2, -13/64, -13/64, -31/32, 
  7/64, 13/64, 25/64, 0, 0, 1/32, 1/32, 0, 0, 21/256, 21/256, -1/32, 0, 0, 
  -21/256, 0, -9/128, -9/128, -23/128, -23/128, 9/128, 9/64, 23/128, -9/128, 
  9/128, 9/128, -9/128, -211/128, 535/1024, 0, 1/32, -11/64, 0, 211/128, 
  17/1024, -281/512, 0, -353/256, 0, -9/16, -319/512, 83/64, -11/128, 
  -1311/1024, 29/128, -1/32, 1/4, 39/64, 751/512, 15/32, 11/32, 5/64, 0, 
  -5/64, -1/16, -23/128, -249/128, -151/128, -5/32, 3/16, -35/64, -9/4, 
  63/32, 111/128, -3/16, 13/64, 9/4, 5/16, 0, 1/16, 7/32, -27/64, -97/128, 
  -187/128, 161/128, 73/128, -5/16, -5/128, -3/16, -57/128, -275/192, 
  785/384, -31/192, 193/144, -283/384, 139/192, -3373/1152, 4693/1152, 
  2381/1152, -64567/23040, 17103/2560, -2951/11520, 28569/1280, 8873/144, 
  49519/23040, -120401/1920, -533809/4608, 4997/2304, -437/288, -24757/2560, 
  4073/768, -150811/4608, -146843/11520, 3374359/23040, 239/144, -4109/720, 
  -31273/7680, -245/288, -541097/69120, -100649/345600, -48809/86400, 
  1052681/34560, -10082429/345600, -1198769/13824, 845009/69120, 
  -579919/28800, 89177/3840, -1693/480, -1412131/69120, -27911/7680, 
  -330187/34560, 1573261/69120, 5719/2304, 1/200, 2148353/115200, -179/180, 
  163/3000, -2547113/115200, 2009/16000, -203/192, -23101819/384000, 
  -164911/4608, 1637/1600, 30432613/1152000, 10859/16000, -24569/9216, 
  33718177/576000, 7142839/384000, 1789/576, -5731/3200, -17476049/345600, 
  -31878617/345600, 59557/48000, -3354839/38400, -10363/6000, 
  -126762089/3456000, 9540481/230400, -20148539/384000, 44895719/3456000, 
  -4139/5400, -152557037/691200, -92491/19200, -4631659/76800, 342713/69120, 
  35729/2880, -347/324, -41629/1920, -310259/12960, -359/103680, 132685/6912, 
  28999/2592, 150863/34560, 365/72, 869/1296, 2111/432, 154207/8640, 
  730039/103680, -897599/51840, -389/72, -1859/1728, -7705/5184, -5/8, 
  -137201/103680, -109157/13824, -4871587/103680, 251387/34560, 485459/11520, 
  -17423/5184, -15893/3240, 519521/10368, -2925833/103680, -664027/103680, 
  -1/8, -1/8, 1/8, 1/8, 3/16, 3/16, 1/16, -1/16, -1/8, -3/8, -3/16, 1/16, 
  3/16, 5/64, 5/64, -5/64, -1/32, -2764147/57600, -5434019/57600, 1/16, 
  -338009/7200, -5/32, 0, 685693/14400, 9455027/57600, -1/16, 666643/9600, 
  1/8, 23/64, -682693/9600, -340259/14400, -17/64, -991/480, -343543/25600, 
  -835257/5120, -43/160, -38643971/230400, 0, -2746807/230400, 2608781/46080, 
  3008099/46080, -10565/4608, 3254597/115200, 3934097/230400, -23/64, 
  -3416597/230400, 109/32, 5/4, 1/8, -135/32, -5/4, -1/8, 13/16, 3/16, -51/8, 
  3/4, -111/32, 51/16, 3/4, -1/2, -3/2, -19/16, -1/16, -17/16, 421/128, 1/4, 
  3/8, -277/128, 5/32, 11/4, -159/16, -365/128, 163/64, -81/128, -85/128, 
  -121/128, 465/128, 93/128, 0, -17/96, -29/128, 0, -19/384, 0, 0, -59/384, 
  -3/128, 0, 9/128, 0, -1/64, 85/128, 133/384, 7/64, 211/128, 0, 0, 
  -833/2304, 199/384, -479/768, 101/128, -803/576, -1231/1152, -13/192, 
  29/64, 127/256, 0, 5/8, -127/256, 0, -69/64, 0, -93/128, 43/16, -175/64, 
  137/256, 69/64, -1/32, -75/32, -5/128, -11/32, -53/64, -345/128, -9/32, 
  75/32, 219/64, -109/64, 745/128, -73/256, -1495/256, -249/128, 467/256, 
  -97/128, 159/256, 357/256, 157/128, 0, 725/2304, -1/16, -203/2304, 1/16, 
  203/96, -103927/6912, -317/128, -2591/576, -216299/6912, -5/24, -753/128, 
  343/128, 108589/3456, 259/64, 211/128, 1421/2304, 1/16, -1507/2304, -1/16, 
  -29/72, -217/384, 1/16, 3/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 9/4, 
  -1, 5/12, 19/12, 1/4, 0, 1/6, 0, 1/2, 1/2, 0, -1/4, 0, 0, -3/2, 1, -19/12, 
  0, -3/8, 0, -1/3, 1, -16, -31/24, 0, 7/12, 0, -1, -5/12, 0, 1, 0, -23/12, 
  0, -1/2, -61/8, 53/24, -247/48, 245/96, -99/32, -10/3, -1, 9/2, 0, -13/3, 
  1/2, 11, 0, -32/3, 34/3, -15/2, 0, -175/48, 0, 5, 1/4, 0, 23/12, 0, -3/2, 
  1/3, 0, -3/2, 1/6, 0, -55/24, 31/24, 34/3, -11/3, 0, -1, 14, -3, 3, -3, 0, 
  -2, 0, 0, 0, 0, 0, 0, 0, 163/24, 0, 0, -27/16, 45/32, 1085467/720, 3/32, 
  143263/3456, -2411/1728, -134515/3456, 41/96, -237/512, 63/512, 19/512, 
  -127/512, -129/512, -71/768, -363/512, -98567/2304, 83803/1152, 
  140081/2304, -107561/2304, 1187/32, 31721/288, -279/128, -256177/2304, 
  -171/16, 87/8, 219/16, 385/32, -1/4, 3/4, -1/4, 3/4, 0, -3/4, -1/2, -5/8, 
  5/8, 1/8, 0, 0, 3257/1536, -475/512, 1/8, 647/512, -2489/1536, 523/64, 
  -73/128, 3/8, -14407/1536, -5389/768, 443/64, 2493/256, 0, 1869/256, 0, 
  697/384, -1535/512, -1/8, 5/4, 1/8, -13/8, 0, 0, -1/16, 0, -13/24, -13/24, 
  791/96, -1/2, -13/12, 5/12, 0, 0, 101/64, -7/96, -9/32, 107/32, -3/8, 
  -257/32, 37/32, 101/96, -415661/1280, -1085467/2880, -3922217/115200, 
  -3010857/12800, 0, -831177/640, 0, 26304607/25600, 521045447/230400, 
  -35570623/19200, -415661/1280, 13861283/19200, 226883143/115200, 
  -3238697/38400, 979/240, -1799279/2880, 19/10, 2973851/115200, 
  57651331/23040, 0, 0, 0, 0, 0, 0, -87/128, 261/256, 0, -493/256, 0, 35/256, 
  1/2, -1/2, 1/2, 0, 0, 0, 145405/9216, -47363/2304, 7/48, -89/96, 1121/144, 
  -263/16, 827/144, -137/96, -5/4, 3/2, -39953/3456, 18725/864, 127/96, 
  49/24, 29/48, 11/48, 145405/9216, -52595/2304, 71981/1728, -886309/6912, 
  7381/1728, 1264291/6912, -251897/1728, 1441225/6912, -220079/1728, 
  -2502191/6912, 1565/128, -7/16, -22409/256, 145405/9216, -55619/2304, 3/4, 
  1565/64, -7/8, -32921/192, -1/8, -1777/768, 29/16, 149/128, 85/384, 
  -109/96, -1451/768, 29/384, 24962501/43200, -79783213/43200, -4241011/3240, 
  -18161701/57600, 26337467/86400, -50635091/172800, 7963557/6400, 
  17083429/17280, -53832403/172800, 71050459/172800, -5424661/28800, 
  216025339/172800, 8622487/8640, 79433429/86400, -61719743/172800, 
  145885207/172800, -296449177/86400, -136356707/51840, 38963/576, 
  -37831/576, 101/32, 1883/96, -323/16, -3239/192, -1403/384, -443/384, 
  611/48, 297/64, -27/32, 27/32, 27/32, 39917/3456, -32141/3456, -33113/3456, 
  1/16, 239/24, -7/4, 3841/1152, -11459/512, -34241/576, -54329/3456, 
  971753/13824, 9/16, -2768561/27648, -43/32, 525497/3456, 396361/138240, 
  1389061/1152, 148025/576, -4442537/3456, 2447641/6912, -743225/288, 
  -24013/64, 314587/6912, 170809/3456, 2579755/6912, -8794597/3456, 
  -1134791/3456, 239231/6912, -467/2304, -1389061/2304, 0, 743225/384, 
  -148025/1152, -8935513/6912, 65681/2304, -73541/384, -75293/1152, 
  -63929/4608, 19487/1152, -80309/2304, 144139/2304, 36301/2304, -63929/4608, 
  40385/768, -6579/64, 140875/2304, -22211/1152, -65681/1152, 80567/1536, 0, 
  295553/768, 362371/4608, 1565/128, -7/16, -66971/768, -145405/4608, 
  52691/1152, -7/12, -1565/128, 7/16, 70397/768, -3/8, 15242959/43200, -10/3, 
  25/12, 19/12, 10/3, 509/96, -445/96, 9/32, -923/96, 3/2, -37/8, 
  13901929/43200, -6553183/34560, 2657017/7200, 159717649/172800, -2177/384, 
  -30400039/19200, -201524791/86400, -71829887/230400, -782712887/691200, 
  3673/1152, 113080279/76800, 1219543/900, 3/5, 71871/640, -37/20, 
  5055379/86400, -3876659/8640, -9, 51/4, 45/2, -67/36, -45/2, -1931/96, -10, 
  2/9, 43/4, 3179/96, 0, 0, 21/32, 0, -3/16, 3/16, 347/64, -463/128, 0, 0, 0, 
  0, 0, 0, 7/4, 0, 7/4, 0, 0, 0, 0, 0, 0, -9/128, -87/256, -29/128, -157/128, 
  0, 0, 781/256, -93/128, -3/20, 12397/1440, 37/80, 528889/5760, 
  5248117/5760, 166709/720, -4876667/5760, 257695/768, -5514937/11520, 
  -108601/960, 5138147/11520, -513059/2880, -585/64, 585/64, 9/16, 
  1150847/2880, 670097/11520, -83773/240, 211/60, 75263/192, 197/80, 
  -86593/240, -14640737/28800, -3809/3456, -2235247/10368, -3/4, 
  -25417/20736, 2971519/13824, -25327/20736, 43735/3456, -49697/20736, 
  -2050165/20736, -1835/216, -3356155/41472, 148231/41472, -29599/4608, 
  3008111/41472, 14419/20736, 23/48, 2585/1536, 27/512, 2903/768, -2609/1536, 
  -2659/768, -37/24, 1115/1536, 7009/768, -41/96, 291/512, -1/8, -47/96, 
  2497/1536, 57/256, 37/144, -2239/128, 3823/2304, 139/96, 151759/2304, 
  -113/288, -1157/864, 25915/1728, -112403/1728, -111709/6912, -22267/4608, 
  16926809/138240, 3020687/27648, -1657/1152, -3671/270, 34507/576, 
  154469/27648, -14563891/138240, 19481/3456, 14935/288, -19819/864, 
  111791/23040, 391297/3456, 952355/4608, 2482175/13824, -605/64, 153/64, 
  -3/8, 239/64, -165/64, 67/16, 707/64, 67/16, 405/64, -21/16, -57/32, 
  253/32, -13/16, -337/64, 1/2, -77/96, 1/8, 27/64, 355/192, 105/512, 
  -101/96, -23/96, -403/192, 47/96, 29/96, -5/8, -17/8, -23/96, 211/32, 
  5757/1024, 6085/3072, 0, -665/1536, 0, -85/1536, -5729/1536, 2, 731/512, 
  -2983/1024, -4159/3072, 637/256, 18893/1536, -127/256, -1/8, 53/32, 
  125/192, 163/32, -43/192, -67/16, 3/32, 781/192, 75/64, 23/16, -61/32, 
  31/48, 359/64, -91/64, -91/64, -237251/11520, -179207/5760, 5/36, 
  33787/2880, 44071/1152, 24701/3840, 214951/5760, 41473/5760, -127/2880, 
  -46777/3840, -773395/13824, -95/72, 958435/13824, 790963/13824, -389/144, 
  -35573/4800, -2707/2560, 9521/12000, -7391/1440, 6441/8000, 
  -2086321/108000, 403921/17280, -7149589/432000, -103/36, -323/144, -35/24, 
  -275/144, 103/18, 59/48, 815/144, 109/48, -37/6, -79/36, 3/8, -81/128, 
  -147/128, 81/128, 99/128, 165/64, 81/128, -279/128, -189/64, 825/128, 0, 
  -1329/128, -825/128, 1159/1920, -12193681/23040, -63929117/115200, 
  -643/1920, -3882679/115200, -3/160, -3082537/76800, 21283821/25600, 
  21205033/57600, 1088699/12800, 90972643/57600, 522593021/230400, 
  -2753827/25600, -96186287/57600, -2580497/76800, -141/32, 99/128, 165/16, 
  -99/128, -189/32, 27/8, -7/8, -69/8, 57/16, -2301/128, 3/128, 2397/128, 
  173/16, -1641/128, 0, 19/32, -145/256, 0, -413/256, 0, -4051/768, 
  2463/1024, 2687/384, 979/256, -119/128, 177/256, 107/256, -515/256, 
  -125/128, 1/2, -25/192, 25/64, 25/192, -57/64, -17/64, -31/64, 49/96, 
  329/64, 145/192, 5/24, 187/192, 281/96, -1/12, 0, -413/256, -29/768, 0, 
  895/384, 0, 659/768, -257/768, -259/384, 259/384, -48115/13824, 
  -22866469/172800, -60953797/345600, -2483081/41472, 1426759/7200, 
  4126153/41472, 4039219/82944, 146379689/345600, -2087863/10368, 
  -958189/20736, 2681567/41472, 1463137/5184, -4019171/10368, -1296965/10368, 
  -2637907/13824, -2271/256, 81667/6912, -3685/2304, 40847/3456, 28109/3456, 
  7163/6912, -1046305/41472, 600455/20736, -194155/20736, -79363/3456, 
  -13/48, -469/384, -15/32, 79/96, 53/32, -1, -37/384, 7/384, -253/768, 
  13/768, -251/192, 4633/384, -31/48, 1617607/82944, -1497691/20736, 
  -302927/10368, 164317/18432, 193/576, -845/288, 134867/27648, 36355/4608, 
  87521/9216, -369629/27648, -69361/9216, 1523/324, -787/128, -282091/5184, 
  -29063/5184, -116147/27648, -1325/768, -8723/3072, 307115/6912, 45697/4608, 
  85145/4608, -1146461/6912, 3325265/41472, -62113/1728, -4604923/41472, 
  8653/768, -18032701/27648, 43755163/124416, 303121/512, 7055/3072, 
  -12859/1152, -96775577/345600, 80451187/172800, 5902235/6912, 
  -34062667/86400, 971196989/1036800, 33847/1728, 97368739/86400, 
  -77817809/23040, 6091/3456, -65325869/1036800, -10887509/129600, 
  -6327590603/3110400, -236129203/1036800, -35267393/103680, 171/64, 
  -279013/6912, 63593/768, 3565/576, 106897/1152, -917/48, -1291999/6912, 
  11315/3456, -24959/6912, 25553/6912, -11/128, 30737/3456, -37109/6912, 
  -36515/6912, 33605/6912, -14959/13824, -203/96, -15863273/345600, 
  -22468181/57600, -52739/9600, -512541031/1036800, -36527/24000, 
  -51947/9216, 61601869/207360, 76058003/576000, 3265/1152, 428147/1350, 
  1885346267/6220800, 56685623/1036800, -406691839/1036800, 
  -118912847/1244160, -25481/3456, 273547/13824, -1003697/768, -51949/2304, 
  -1140769/864, 192121/6912, 59413/3456, -28093/2304, 1105775/41472, 
  -22007/3456, -21360823/41472, 18504323/13824, 2854883/4608, -5787353/41472, 
  -163465/13824, 3/16, -513461/9216, 19253/768, -57179/4608, 541577/9216, 
  -83525/4608, 109/48, 74237/384, 141109/1152, -11/12, 77615/3072, 
  141955/4608, 387331/9216, -148213/2304, -33181/4608, 1063/192, 4025/1152, 
  -7/48, -127897/6912, -192241/20736, 195451/6912, 1933/256, -79/96, 
  546647/46080, -236401/23040, -10045903/138240, 728821/23040, 2604391/69120, 
  -2687/1152, -1957883/92160, 13808519/276480, -479075/13824, 654623/30720, 
  998161/46080, 6263599/138240, 473099/8640, 285413/15360, 49529/1152, 
  28303/4800, 454669027/691200, 162753593/138240, -48107/24000, 
  13347331/43200, 6109/4000, -422428517/576000, -596141069/153600, 
  -32251001/432000, 7001411273/2304000, -139361887/172800, -46776589/15360, 
  -69788197/172800, 157516147/25600, 54037471/21600, 97217/3072, 106647/5120, 
  413/36, 159761/3840, 33589/540, -50821/1920, -7107859/92160, 1427/72, 
  -252797/4320, -219/8, -1923157/46080, -13873571/69120, 114493/5760, 
  -14579/960, -8383/144, 799/960, 33/80, 0, -11/128, -111/64, -214817/3600, 
  11/8, 0, 69/32, -375/128, -9/8, -43/32, 15/16, -99/64, -15/8, 9/16, 35/16, 
  -91/128, -87/16, -3/8, 2, 1/8, 0, 0, 0, -67/256, 911/768, 47/64, -5/192, 
  -175/192, -67/256, -5/192, 0, 25/96, -239/512, -25/64, 7/192, 0, 9/32, 
  -41/256, -7/192, 321/512, -13/96, 7/256, -107/64, 1235/768, 289/512, 
  -203/96, 9461/3072, -5167/384, 2591/576, 176597/2304, 7/48, 417985/9216, 
  320033/4608, -43229/576, -278801/4608, -8765/3072, 3463/192, 47/6, 
  -27499/1536, -651/128, -155147/9600, -6068467/92160, 5600563/46080, 
  5253473/288000, 1668523/10240, -16363/288000, 241381/384000, 
  -1282469/51200, -6879529/115200, 5298787/192000, -131879/6400, 
  -14801369/230400, -2967/640, 1451167/24000, 10599203/76800, -686449/288000, 
  375291497/3456000, 7546561/69120, -20868077/115200, -191822281/1728000, 
  8507221/76800, 98002027/345600, 19661107/57600, -3367019/12800, 
  3451723/7200, 314803/7680, -22080161/69120, 70831/17280, 628349/3456, 
  9257257/34560, 1085963/8640, 26645009/69120, 2445751/2880, 607279/34560, 
  -1751051/2160, -4760747/69120, -31141759/69120, -19497043/34560, 
  34369879/69120, 3415241/34560, 34151/1600, 47552969/345600, 
  15301997/172800, -13877087/864000, -963313/23040, -3181103/864000, 
  -139993271/1728000, -8459459/115200, 13427857/216000, -7467217/345600, 
  -771/128, -971/128, 685/128, 971/128, 43/64, 1163/128, 197/32, -489/128, 
  -49/16, -49/8, -1, 269/64, 189/32, -1/8, 7559/640, 26028497/345600, 
  -4599053/23040, -18391/960, -48192611/345600, 15/8, -10270601/172800, 
  1393001/11520, 13759627/115200, 4514831/69120, -47628167/345600, 
  758517/2560, 5435609/19200, 56337647/345600, 4532597/115200, 21/16, -10/3, 
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  -3/64, -11/64, 9/256, -7/256, 3/32, 9/64, -3/64, 5/64, 31/256, 3/256, 
  23/128, -97/128, -31/128, 139/256, 87/128, 37/256, -33/256, -37/256, -1/16, 
  -1/16, -15/64, -57/256, 3/256, -5/64, -5/64, -3/64, 1/4, 15/64, 45/64, 
  117/256, 5/64, 3/32, -3/16, -15/32, -3/64, 1/8, 99/128, 83/128, 135/256, 
  135/256, -109/128, -11/8, -135/256, 93/128, -31/128, -31/128, 31/128, 0, 
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  1/64, 53/64, 0, 107/128, 345/512, -471/512, -121/128, 779/512, 5/16, 
  49/512, -215/512, 29/128, 0, -93/256, 0, 0, 0, 71/96, 0, 0, 0, 0, 0, 
  -23/96, 0, 93/256, 0, -1/4, -93/256, 0, -29/256, 0, 9/64, 13/512, 0, 
  -45/256, 0, 7/96, 225/256, 179/384, -1/24, 593/1536, 3/32, -43/192, 
  -183/512, -1/64, 7/192, 0, 9/64, 17/192, -109/512, 0, -143/256, 0, 7/96, 
  715/768, 299/384, -1/24, -737/1536, 65/192, -293/256, 1/64, -47/24, 0, 
  -185/192, 425/768, 267/128, 55/384, 13/96, 211/512, 31/128, -185/768, 0, 
  -93/256, 0, 0, 3/32, 0, 31/48, 0, 0, -93/512, 0, 0, -55/96, 0, 199/96, 0, 
  -465/512, 83/48, 0, 0, -43/32, 5/64, 5/16, 15/64, 1/16, 3/8, -7/16, 3/32, 
  43/16, -3/2, 41/8, 95/32, -13/64, -45/16, -99/64, 7/64, -7/64, 7/32, 3/16, 
  21/64, 141/64, -87/32, -393/64, -57/64, -17/64, 13/64, 27/64, 307/128, 
  1/32, 0, -47/128, 13/64, -5/128, -129/128, 31/64, -99/128, 0, 3/32, 59/64, 
  9/4, -75/64, 195/128, 83/128, -13/64, -155/64, -45/64, 7/64, -1/16, 
  -39/128, -69/128, -65/128, 1/2, -31/128, 105/64, 187/128, 71/128, -33/16, 
  37/64, 57/64, 1/2, -269/128, -19/128, -1/32, -3/16, 7/32, 3/16, 109/64, 
  -3/8, 1/32, -109/64, -7/32, -3/8, 3/16, 109/64, 3/16, -1/64, 1/32, 11/64, 
  -3/32, -7/32, -5/64, 465/64, 211/64, -279/64, -25/64, -23/64, -7/64, 
  -543/128, 13/64, 1/32, 0, 1/16, 0, -3/32, 0, -3/32, -69/128, 27/256, -9/64, 
  -87/128, 53/128, -3/64, 123/256, 0, 33/128, -3/128, 45/128, -279/256, 
  -305/256, -9/128, -15/128, 3/64, -27/256, -27/256, 3/64, -123/256, -43/256, 
  1/64, 13/64, 3/128, 21/16, 49/128, 403/256, 109/256, -19/32, -9/64, 
  287/256, -17/32, 15/128, -5/64, 95/256, 27/256, 29/64, 0, -373/256, 
  -155/128, 25/64, 393/256, -17/64, 0, 17/64, 13/192, 7/96, -65/384, -1/8, 
  -23/128, -35/128, -55/384, -49/128, -151/384, 75/128, 229/384, 55/128, 
  167/384, -1/8, 91/512, -1/16, 155/384, 149/512, -3/32, 97/384, 3/32, 
  125/192, -329/512, 27/64, -605/768, 43/96, -41/64, -23/64, 11/192, 
  -125/256, -47/128, -45/512, -1/64, -1/3, 57/64, 485/1536, 13/64, 159/512, 
  -5/64, -237/512, 1/32, -1/32, 63/256, 63/256, 1/64, -1/8, -5/64, 3/64, 
  -1/16, -91/256, 1/64, 1/64, 5/64, 13/64, -3/32, 1/16, -1/64, -3/32, 3/64, 
  -1/32, 1/32, -15/32, -15/32, -3/64, -11/64, -3/16, 1/32, 1/2, 3/32, 13/64, 
  -1/32, -3/64, -3/64, -3/64, 3/64, 0, 1264277/92160, -22519259/276480, 
  -1648141/138240, -102471/5120, -6123833/46080, 19841477/276480, -4757/2304, 
  27493193/276480, 5/48, -20513/1152, -20120893/276480, 783301/46080, 
  113/384, -10357063/92160, -35376839/276480, -307333/15360, -835813/13824, 
  -6677/2304, 149081/2880, 1207651/69120, 19493/2160, 416431/13824, 
  -3699833/69120, -479543/17280, -54739/11520, 0, -989731/138240, 
  2708325163/8294400, 308638447/4147200, 300013/15360, 388494413/8294400, 
  -650202419/2764800, 928109/23040, 168762223/2764800, 6821/1152, -14479/864, 
  829111913/8294400, -582221077/1382400, -62353093/331776, 
  -692224907/8294400, -36850199/331776, 1154917/82944, -14527037/76800, 
  1831057/27648, 329639/82944, 129680197/1658880, 4789439/2764800, 
  1012789067/8294400, 3648103/34560, 20849657/230400, -47402377/1658880, 
  -111890627/414720, -736626883/8294400, -268672849/1658880, 67673377/414720, 
  29131433/829440, -33068977/2764800, -1575673/829440, -28860533/829440, 
  13577161/552960, -3/32, -3/32, 1/16, 1/16, 1/32, 1/32, 21/64, 15/64, 3/64, 
  -1/16, -3/64, 1/64, -1/64, -3/8, -9/64, -3/32, 0, -1/64, 9/64, 3/64, 3/32, 
  -11/32, -7/16, -1/16, 37/64, 41/64, -1/32, -1/32, -15/64, 5/16, 1/64, 
  -1/16, -49/64, 1/32, 3/16, 5/128, 17/128, -3/64, 7/32, -23/64, -37/64, 
  -11/64, -11/64, -45/64, 3/32, 11/64, 61/128, -3/64, -3/64, -3/64, -1/16, 
  -1/64, -1/64, -1/64, 3/32, 3/64, 3/32, 1/16, 1/64, -3/64, -3/64, 3/64, 
  43/512, 19/512, 1/64, 1/64, 3/64, 11/32, 19/64, 27/256, 59/512, -1/64, 
  -3/32, -11/32, -39/256, 3/64, -31/256, -31/256, 55/512, 55/512, 43/256, 
  37/128, -55/512, -43/256, 31/256, 31/256, -31/256, 0, -93/512, -93/256, 0, 
  -93/512, 0, 3/64, 1/48, 1/256, -1/64, -35/1536, 0, 1/6, 535/768, 59/128, 
  -23/384, 0, 93/256, 0, -279/512, -665/1536, -65/192, -435/512, 1/64, 
  -695/768, 0, -29/48, -75/512, 469/384, 121/768, 0, -93/512, 93/256, 
  109/192, 223/512, 5/32, -101/384, 3/64, 1/32, 1/8, 3/16, -1/8, -7/32, 3/32, 
  49/128, 43/16, 9/64, 75/128, 575/128, 5/64, 233/128, 7/32, -1/32, -27/8, 
  -1/8, -645/128, -193/128, 5/8, 43/64, -5/64, -3/64, 3/16, 5/16, -1/64, 
  17/64, -3/64, 27/64, -581/128, -5/64, -589/128, -9/32, 1/64, 537/128, 
  403/128, -21/32, 5/64, -17/64, 13/64, -29/64, -3/64, -7/64, 177/64, 13/32, 
  -109/64, 17/64, -13/64, -27/64, 0, 0, 0, 0, 0, 0, 3/8, 1, 0, 0, -5/8, 0, 
  -1/4, 1/4, 83/64, -193/192, -563/48, -1/8, -1/8, 5/8, -43/24, -43/24, -7/8, 
  37/4, -259/48, -43/3, 329/48, 0, 0, 1/8, 0, 0, -3/4, 0, 19/96, 215/32, 
  -2167/384, 281/96, 463/192, -7/2, -9/8, 5/8, 0, 1/8, 1/2, 1, 0, 0, -1/8, 
  -403/288, -15/16, 83/64, 3/2, -19/48, -193/192, -3/2, 5443/288, 2837/576, 
  59/24, -16/3, -2453/1152, -1751/1152, 1/8, 15/8, -7/6, 0, -5/8, -17/8, 
  -77/24, -181/48, 335/12, -43/3, 0, 4/3, -2567/48, 5461/96, 0, 0, -7/8, 3/4, 
  419/96, 2735/192, -25/96, -125/96, -163/192, -463/192, -2611/128, 19/8, 0, 
  0, -77/48, -133/48, 151/48, -3/2, 0, 0, 0, -5/4, 0, 0, 0, -25/8, 7/4, 0, 
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  -59/192, -5/8, 5/64, -13/64, -3/64, 0, 0, -169/192, 0, 0, 11/16, -1/24, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1205/16, 443/32, 0, 0, 0, 0, 0, 0, 2, 0, 
  0, 1/4, 83/36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 215/64, 0, -71/288, -63/32, 
  251/288, 0, 101/288, -131/72, 1/18, 721/288, 1/2, -3/8, 1/8, -1/8, -1/8, 
  7/8, 3/16, 3/2, 21/16, 179/32, -3/2, -1/16, -1/16, 1/16, -1/2, -11/16, 
  37/16, -45/16, 43/32, 23/8, 71/16, -5141/48, -399/8, 124885/4608, 
  16699/288, 8083/144, -272923/4608, 112075/1152, 6965/72, -126491/1152, 
  -110491/1152, 24409/384, 0, 0, 0, 0, 0, 0, 0, 0, 0, -215/512, 0, 1075/512, 
  0, 0, 215/128, 0, 0, 0, 1/16, -19/8, 1/16, 0, -215/64, 0, 0, -253/64, 0, 
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  -4549/480, -64163/5760, 11141/720, 97327/4320, -358549/5760, 821/13824, 
  -9173/13824, -925/576, -5405449/103680, 23/16, 1/8, -1/8, -1/8, 13/64, 
  -37/192, 7/16, -1373/512, -37/192, 59/64, -253/192, 7/16, -1713/512, 23/16, 
  119/48, -175/256, 11/64, -19/48, -11/64, 173/96, -265/192, 173/96, 
  -163/192, -133/192, -265/192, 185/384, 23/16, 31/512, -373/192, -19/384, 
  -1/96, -1/96, -181/96, -1/48, 1087391/12960, -898247/5184, 123221/5760, 
  61699/3840, -67217/11520, -158269/4320, -135709/11520, 117623/4608, 
  -11688953/103680, -2726911/34560, 28061/103680, 19802981/103680, 
  -99397/12960, -337097/25920, 9474707/829440, 57081259/829440, 
  11037983/414720, 113623091/829440, 26903587/276480, -12100139/829440, 
  57081259/829440, -3821/2304, -10477283/414720, 13/16, 11439443/103680, 
  -1852793/23040, 290998711/829440, -425/256, 753/256, -421/256, -657/256, 
  -18757/3456, 2647/768, 59/64, -1/2, -37/16, -169/192, 27/32, -9/16, -49/64, 
  -715/96, -1393/192, 583/256, 53/64, 333479/3456, 337079/3456, 11/4, 
  -168355/1728, -7/3, -53/16, -1/24, 185/96, -11/24, 11/24, 11/64, -11/24, 
  -49/48, -2623/512, -8813/1536, -83/96, 9089/1536, -3475/72, 0, 3385/72, 
  -931/72, -629/48, 0, 0, 0, 0, -535/192, 0, 19535/288, -2137/192, 50855/384, 
  27397/2304, -84281/1152, -35813/576, 63467/1152, 177773/2304, 236755/1152, 
  -637/12, -15995/128, -61165/144, -55265/576, -43045/256, 2081/32, 
  318313/2304, 18299/384, 0, 0, 0, 0, -215/128, 0, 0, -99/512, -215/128, 0, 
  0, 0, 1/16, 5/16, 0, 0, 19/48, 99/64, 0, -2005/512, 0, 1735/1536, 2005/512, 
  11/8, 0, 0, 0, 0, 11/16, 1/16, -19/16, -5/8, 0, 15/16, 5/8, -11/16, 13/16, 
  0, -13/16, -3/4, 1903/24, -95/96, -713/32, -249/64, -1/16, -2851/32, 1/16, 
  191/24, 4547/24, 13247/1536, -1045/32, -813/64, 40853/576, 3817/192, 
  -3029/384, 5567/64, 3013/576, -148129/1152, -33197/384, 74791/9216, 
  -863/72, -14153/1152, -5243/576, -55339/1152, 15509/4608, -298333/2560, 
  -6779/384, 0, 0, 0, 47463577/552960, -1297/12, -40435693/552960, 
  15852853/276480, -298621/6400, -2798849/691200, -33229/4800, 
  -4630393/172800, -297181/12800, 20554049/345600, -36559/9600, 
  -132417049/2764800, -125275391/552960, 17903/1152, -187/48, -1319/2304, 
  2017/288, 131737/2304, -138257/2304, -61435/576, 377803/6912, 85/48, 
  -90385/4608, -1847/1536, 333743/4608, 49/32, 132401/4608, 322013/4608, 
  -110839/3456, -1/16, -25273/800, -11548951/345600, -1067/225, 
  -118828937/1382400, 3/16, -1/2, 1141/2304, -1141/2304, 284473/1920, 15/32, 
  -15/32, -69/64, 0, 0, 0, -46083109/331776, -377711/19200, -1796791/19200, 
  -8251/600, -12449/400, -37519/7200, -55008247/460800, -69/64, 3/4, 0, 
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  3/64, 7/4, 41/64, 0, 0, 0, 0, 0, 0, 0, 0, 5/16, 0, 0, 1/8, 0, 0, 0, -9/16, 
  -15/16, 21/8, 7/4, 3/16, 0, 0, 0, -1/16, -43/16, 0, 43/16, 41/16, 0, 0, 
  -14027293/51840, 76649/768, 0, 0, 0, 725/72, 6179/288, 0, 7141/3456, 0, 0, 
  0, 93/128, 215/64, 0, 0, 0, -115/288, -41/96, -43/192, 217/288, 2131/576, 
  -67/576, 131/64, -353/192, 205/576, 51/64, -1393/1152, 187/1152, 683/576, 
  -2275/576, 571/576, -1/36, 73/1152, 509/192, -5/288, 1/2, -1/32, -13/32, 0, 
  1, 103/32, 37/32, -103/32, -1/4, 7/32, 5/4, -17/8, -43/32, 55/32, -407/64, 
  69/32, 137/32, -65/64, -107/32, 29/8, 67/32, 977/64, -29/8, -3/16, 43/32, 
  -197/192, -1/16, -115/96, 0, 41/32, 11/12, 33/8, 5/4, -21/32, 83/192, 1/32, 
  -191/32, 17/32, 6103/144, -156685/13824, -80123/2304, -977303/17280, 
  2648929/11520, 2239/144, -908449/5760, 6609059/34560, -9830791/34560, 
  -89364853/414720, -21368627/414720, 298813/3840, 1170473/17280, 
  -755759/11520, -803/3840, -3445/288, -185027/5760, -5887799/34560, 
  -489947/11520, -112405/2304, 45429487/207360, -3296321/11520, 
  -1326841/207360, 58778159/414720, 63406727/414720, 0, 0, -207/32, 5/16, 
  87/32, -87/16, 0, 87/32, -39/16, 0, 93/16, -33/64, 6, 0, -291/32, -379/64, 
  -9/32, 0, 9/16, 0, -9/32, 1/32, 0, -109/32, 27/64, -203/32, 0, 95/32, 
  211/64, -33/4, 0, -1/16, 1/16, 0, 1/16, 0, 0, 1/16, -1/16, -1/16, 0, -1/3, 
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  -1/16, 0, -247/256, 0, 0, -769/512, 0, 0, 213/512, 0, 769/512, -91/512, 0, 
  -345/256, -587/512, 0, -211/128, 0, -27/256, 1075/512, 27/128, 0, 521/384, 
  -1289/256, 2697/1024, 0, 541/64, 0, 7/4, 97/128, -357/64, 143/96, 645/256, 
  -137/1024, -213/128, 91/32, -5/32, 0, -401/512, 0, 0, -2083/512, 0, 
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  381/64, 1/4, 3/4, 75/32, -425/64, 3/4, 0, 0, 0, 0, 0, -111/32, -1/16, 
  133/32, 21/32, -19/32, 0, 19/32, -143/32, -29/32, -115/288, 1/32, -55/192, 
  32047871/414720, -64654247/414720, -20178401/207360, 25581395/165888, 
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  17/32, 57/128, -959/512, -15/32, 765/512, -1/8, 167/512, -25/96, 169/384, 
  -1637/1536, 11/192, 5/48, 25/288, 15/64, -5/576, -55/192, 25/288, 41/192, 
  -7/64, -371/192, 7/64, 271/192, 55/288, 71/192, -109/96, -3/64, 11/192, 
  -51/64, 1393/1152, -187/1152, -3703813/38880, 59534117/622080, 
  13217053/155520, 12280787/51840, -32423909/69120, -6615533/207360, 
  -29308037/15552, -4724918891/7464960, -36236831/414720, 206036047/331776, 
  -6110612221/4976640, 40038113/207360, -121619137/276480, -15045461/414720, 
  -1444993013/995328, 6135919573/3732480, 1273651999/1244160, 
  -627769489/1658880, -36236831/414720, 2094547/69120, -1831751/6912, 
  824006843/1658880, 803246957/414720, 3260459303/4976640, 40038113/207360, 
  -3403721/69120, -82006421/276480, -15045461/414720, -1282365113/995328, 
  -23480473/414720, -230950769/3732480, 519664241/622080, -9053987/36864, 
  559/384, -219121/11520, 7477061/69120, 275893/3840, 3811/288, 
  -17771447/207360, 13038713/138240, -62810069/77760, 35068721/207360, 
  2491338199/1244160, -579621829/829440, -1608285499/1244160, 
  109999139/103680, 12066501023/7464960, -6162499/414720, 12597593/829440, 
  -18173/55296, 24165721/829440, -6056659/414720, -11840723/829440, 
  -1360812277/829440, 1371648641/829440, 135095309/82944, -57081259/829440, 
  42455/13824, -313481321/184320, 559822297/331776, -159985/55296, 
  -350501491/622080, 821/55296, -10963180181/4976640, -534665/20736, 
  5503419211/2488320, 56831719/1658880, 42455/13824, 10846333/138240, 
  118264991/1658880, -919413947/552960, -529437481/331776, 26768477/552960, 
  -159985/55296, -42337757/829440, -716026829/1244160, 821/55296, 
  -10712020229/4976640, 79392773/207360, 380714263/207360, 1075944983/497664, 
  56118919/1658880, -71/192, 111/64, -53/96, 5925869/138240, 
  1318029277/2488320, -3791651/92160, -1829291363/622080, 759390377/414720, 
  2746248533/2488320, -3734419/46080, -1/6, 69041/27648, -64433/27648, 
  -41/192, -53921/27648, 73/192, 44299/13824, -807/512, -55495/13824, -13/64, 
  11/64, -69/64, 97/384, 445/256, -197/384, -40969/13824, 24067/13824, 
  -1165/512, 11/64, -71/64, -431/256, -43/48, 12749/9216, -83/64, 97/384, 
  719/768, 119/96, -197/384, -36181/13824, 821/256, -49025/27648, 
  29971/13824, -473/256, 49/64, -80849/27648, 7/32, -15/64, 108929/27648, 
  15/32, 125/96, 1/4, -863/192, -589/192, 100721/27648, 13/16, -71489/27648, 
  157/32, -989/1024, 67/48, -787003/27648, -13/24, 337511/3456, 19/12, 
  806893/27648, 787003/27648, 61/384, -425/1536, 259/192, 721555/27648, 
  -731203/27648, -923/384, -674035/27648, 55/96, 239/384, -1967/1536, 
  1398329/13824, 761353/27648, 259/192, 95/32, -214325/3072, 783187/27648, 
  -82007/1024, -930787/27648, -923/384, -161/96, -643507/27648, 55/96, 
  -75/32, 699241/6912, 1035115/27648, 1409597/13824, -1343/512, -163/192, 
  709/256, -787003/27648, 155/64, -863/768, -7/96, -179/96, -230639/3072, 
  -3647/1536, -89/96, -3833/1536, 764413/27648, -247/384, 241141/3072, 
  817/1536, 5/16, 51441773/207360, -1793251/69120, 0, 197/384, 329911/2560, 
  12973/288, -158595505/221184, -13935701/69120, 155478961/221184, 
  -2326197073/1658880, -35347811/46080, 3267550087/1658880, 615616681/414720, 
  40743217/110592, -6169735243/1658880, -11099/720, -9886421/207360, 7/16, 
  -58229177/40960, 9715091867/3317760, 9821621/207360, 869211433/1105920, 
  -392162509/552960, 4912972093/1658880, 29033441/103680, 70223597/552960, 
  -1494559/4320, -300613/3840, -2555774077/1105920, 6756162283/3317760, 
  -12205/1152, -24347719/414720, 5/32, 52233833/184320, -2811682463/1658880, 
  41880889/414720, -130688453/368640, 50365537/414720, -1842248569/331776, 
  2610631/15360, -1414354409/1658880, -285952759/414720, 13/64, 3/8, -1/4, 
  -87/64, 0, -15/16, -3/16, -1/16, 0, 0, 0, 0, -1/16, -1/8, 0, -1/16, 0, 0, 
  0, -1105/1536, 0, 149/128, 0, -93/128, 0, -197/384, -593/384, 0, 0, 
  -197/512, 165/128, -927/1024, 157/64, -893/512, -1465/1024, 0, 3/16, 
  47/512, 187/128, 0, 869/512, 0, 635/512, 973/3072, -939/512, -3757/3072, 
  697/512, -1/128, -877/512, -5833/3072, 0, 0, -251/1024, 0, 0, -2257/1536, 
  0, -1543/3072, 0, 5059/1024, 0, 1867/1024, -9/16, 0, 0, -7/8, -11/32, 
  53/16, 41/64, 0, 1/8, 11/16, -61/64, -11/16, -9/8, -131/64, -31/64, 95/64, 
  59/64, 3/16, -7/32, 31/16, 1/16, 127/64, 0, -13/32, -1/4, -115/64, -7/4, 
  13/16, -85/64, -31/64, 13/64, 19/64, 337654949/2880000, 
  -89998543613/149760000, 97045/864, 217181/640, -925/12, -57/128, 
  -6164797/69120, 12317159/69120, 10066459/69120, -1552631/2560, 343/48, 
  13369/640, 46523/4608, -1109/2304, 147079/8640, -6388639/69120, 
  -2560877/23040, 21864217/69120, 23387303/23040, 647683/2880, 140699/17280, 
  7382659/69120, -28985339/23040, 432023/17280, 535/192, 5676211/25920, 
  341/12, -209/192, 4553369/9216, 199353073/138240, 17049091/69120, 
  -16428211/23040, -110512979/46080, -103459187/138240, -37581667/34560, 
  -125823233/138240, 3079963/960, 67642693/138240, 6183115/20736, 
  2357041/414720, -215029/576, -24676583/103680, 6391703/69120, 
  -895863/25600, -17593831/1382400, -33229/6400, -27482179/384000, 
  -131968783/2880000, 77869705403/449280000, 893223/6400, 551/25, 
  -10490471/345600, -2592521/384000, 14952531431/119808000, 
  -23586829/1382400, -85787423/1920000, -53805017713/359424000, 
  -133881683/2880000, 56249614871/599040000, -11446909/86400, 
  -73449202553/359424000, 11433517439/37440000, -2975521/384000, 
  -4466886989/17971200, -38787197/460800, 1938199/240000, 126663387/665600, 
  -325341209/5760000, -48110640631/898560000, -26313056273/89856000, 
  -13334491579/69120000, 36682327817/112320000, -7898184037/134784000, 
  -19622467/82944, -5775105539/8424000, -101151889613/269568000, 
  -895863/25600, -17766631/1382400, -33229/6400, -19769/3000, 
  22461537391/359424000, -109180723/5760000, 46695531931/1797120000, 
  -299581/12800, -2490693577/5529600, -31009/9600, 12155570459/359424000, 
  113951/9216, 17543/1152, 10775/576, -11249/288, -41465/3456, -25741/288, 
  1925983/69120, 3569/1296, 26310031/207360, -1582211/8640, -500915/3456, 
  19345129/69120, 3965/32, 126790577/414720, -8195881/23040, 
  -35354867/207360, -626123/3456, 6803083/207360, -3445/1296, 
  47872513/207360, -245/512, -9733193/207360, -1123819/69120, 3391/13824, 
  -15080269/138240, 172759/2304, -9131/864, -10969219/23040, 32198573/138240, 
  166567273/414720, -4138523473/22464000, -4128519973/22464000, 5/32, 
  4144080973/22464000, 4143554473/22464000, 59/192, -1307/4608, 1307/4608, 
  1883/4608, 1883/4608, 875/2304, -3/16, -1883/4608, -443/4608, 13/64, 
  -211/240, -491936891/1404000, -27/320, -281501/19200, 6437522849/11232000, 
  -31219/14400, -50223975601/179712000, 421439/9600, -7321/1800, 
  930356821/2808000, -279391/12800, 3210877619/29952000, 
  -15762908887/44928000, 2608271/115200, -17405170171/29952000, -12797/7200, 
  -278191/12800, 236257010107/1078272000, 16805085421/179712000, 12527/7200, 
  2623487263/9984000, 5/32, 44752549/663552, -16694169421/179712000, 
  -872268421/3328000, 25/96, -14256327721/89856000, -5/4, -610847/9600, 
  -5705024903/22464000, -68873/7200, 105587/6400, 239918551/7488000, 
  1157/450, 126729317/2764800, 824783/38400, -4309367/76800, -12257/7200, 
  6672766129/22464000, 15690590551/89856000, 3, -3/4, 0, 0, 0, 79/32, 5/128, 
  7/16, -39/128, 203/128, 57/128, 25/32, 465/128, 19/4, -239/128, 1/16, 
  -5/16, -7/4, -237/64, 5/8, 5/32, -5/2, -1/32, 9/16, 491/128, -49/128, 
  -491/128, -23/128, -219/64, -5/4, 359/128, 1/8, -107/32, 427/128, 57/16, 
  -507/128, -471/128, 0, 0, 95/96, -3/16, -1/12, -1/24, 21/16, -1/12, 21/16, 
  0, 61/64, 0, 0, 0, -61/64, 0, 0, -337/96, 19/192, 0, 0, 0, 0, -3/16, 25/32, 
  3/16, -25/32, 3/4, -5/4, 0, 37/32, -41/32, -43/32, 19/64, -1/2, -1, 29/16, 
  5/64, -17/32, -21/32, 443/64, 29/32, 57/32, 0, -79/64, 0, 79/64, 0, -5/4, 
  -223/64, -79/64, 223/64, 41/64, -5/32, -57/64, -259/32, -21/16, 0, 0, 
  31/32, 0, -61/384, -427/384, 31/32, -167/192, 16371/320, 3607/432, 
  14470903/34560, -232363/1536, 0, 61/384, 0, 0, 58146653/1382400, 0, 
  -59057453/1382400, 0, 427/384, 0, 31/32, -1133/3456, 145/384, 535/1152, 
  -359/576, -167/432, 139/1152, 149/288, 3701/3456, -2057/864, -10663/6912, 
  7619/3456, 2881/3456, 1319/3456, 25583/13824, 3527/6912, 1897/4608, 
  1225/1152, -641/1728, -38705/13824, -599/4608, -4249/3456, -24875/13824, 
  79/384, -415/576, 37001/13824, -55/256, 149/128, 191/384, -113/768, -3/32, 
  -1925/768, -361/384, -1/32, 211/256, 0, 27/32, -179/384, 65/96, 251/128, 
  2399/768, -1007/256, -13/64, -133/384, -221/64, -37/64, -53/128, 383/768, 
  -25/768, 125/256, -419/256, -9/16, -273/128, -941/768, 149/32, 163/64, 
  -63/256, 23/128, 17/32, 63/256, 0, 320105/27648, 298813/3840, 
  504847/138240, -755759/11520, -388729/11520, -3445/288, -23/64, 
  -2254669/46080, -57937051/414720, 25107263/276480, 51874381/414720, 43/32, 
  -1204351/69120, -5552587/34560, -81/64, 1532587/51840, -3804359/92160, 
  29848681/138240, -26834113/276480, -568961/414720, -1410205/20736, 
  37288619/276480, -895794553/2488320, -61857799/414720, -433751/7776, 
  -223822693/2488320, 74313277/829440, 82901729/1244160, 80123/2304, 3/16, 
  175/64, -7/128, -1/8, -727/128, 7/128, -1/16, 377/128, 0, -9/16, -133/64, 
  25/128, 601/128, 291/128, -581/128, 3/8, -17/32, -545/128, -607/128, 
  -25/64, 1/64, 709/128, 41/64, -45/64, -347/128, -863/128, -847/128, 
  945/128, -1289/128, -1173/128, 51/64, 10, 1/64, -29/192, 0, -101/512, 
  29/192, 0, 93/512, 0, 7/128, 29/48, -27/256, -107/128, -1193/1536, 179/256, 
  11/64, 41/128, 287/192, -29/128, -1/64, 323/192, 1/16, -207/512, -431/256, 
  101/512, 143/128, -113/256, 597/512, -141/128, -49/32, -1/16, 23/256, 
  49/32, 0, -401/256, -77/128, 0, 85/64, 0, 497/512, -511/192, 2939/2048, 0, 
  5867/1536, 0, 491/384, 1127/1536, -5059/768, 29/256, -593/1536, 39/16, 
  159/512, 0, -187/256, 755/384, -1443/1024, -2629/768, 271/384, 27/256, 
  -37/512, 0, -211/256, 0, -1/32, 27/256, -1/32, -21/256, -27/256, -3/16, 
  29/256, 7/32, 11/128, -43/16, -401/256, -55/16, 187/256, -45/128, 11/4, 
  827/128, 11/64, 1/32, -27/256, 27/256, 3/16, -5/128, -15/32, 29/256, 
  233/64, -145/128, -809/128, 0, -79/256, 3/64, 27/256, -1/32, 5/36, 37/256, 
  -1/32, 1/64, 5/64, -3/32, -1/4, 27/128, -29/72, -19/96, 1/4, 5/16, -49/576, 
  979/4608, 1/32, 73/128, 1/64, 181/576, -307/512, -2873/4608, -5/32, 
  -1697/4608, -55/768, 5/64, 2399/4608, -42389069/414720, -95857/138240, 
  -229/768, 1058535431/2764800, 2468041471/2073600, 35861/480, 
  -7330082053/24883200, 7379/576, 48816239/207360, -9985561/34560, 
  -9117743/138240, -540300059/12441600, 63381323/124416, -5186983/82944, 
  1422299/15360, 539903/13824, -16885784957/6220800, -331335737/129600, 
  274659971/311040, 55285057661/37324800, -1648727/414720, -937681/138240, 
  31061730479/6220800, 816757117/2488320, -12484037/138240, 
  6029394751/4976640, 31627573579/24883200, 328946489/1658880, 
  -1111515973/1244160, 6319907/61440, -6086359/414720, -680207171/829440, 
  -5/64, 13/768, -37056361/46080, 680051651/829440, 141/256, 42459731/51840, 
  -49/192, 3843251/92160, 3/8, 5405089/414720, -1442251051/2488320, 
  -1406759977/2488320, -22214581/829440, -5311129/414720, -3047417/207360, 
  -2806964459/1244160, 31787/55296, -2938649993/4976640, 1392472243/829440, 
  26957167/552960, 2921597/103680, 1425243373/2488320, 2897436599/2488320, 
  -2827637/207360, 2941472843/4976640, -11226107/276480, -12693811/829440, 
  -746914571/1244160, -56118919/1658880, 19/192, -5/192, -63173/27648, 
  83/512, 25/128, 73559/27648, 55/384, 229/384, 115/384, 33293/27648, -35/48, 
  -311/384, -149/384, -43/384, -29305/13824, 301/256, 55145/55296, 743/512, 
  -58781/55296, -27/64, 1541/432, 237/256, 97/192, 40483/13824, -729/512, 
  -1239/2048, -1109/432, 551/512, -577/1536, 37/128, -93/256, -35/128, 
  -517/512, -19/384, -81/128, -31/512, 251/384, 15/64, 577/1536, -39/128, 
  93/256, 35/128, 569/512, 19/384, 81/128, -103/256, -61/96, -15/64, 1/64, 
  -13/128, 237/512, -11/96, 784627/27648, -161/384, 822823/27648, 
  -784627/27648, 49/32, -793735/27648, -115/384, 713/384, -70759/1024, 
  377/384, -223205/3072, -505/256, -317/192, -29/64, 13/128, -808525/18432, 
  -787003/55296, -874033/55296, 6047/216, 750157/55296, -559/384, 
  698431/4608, 759143/9216, 95/96, 849121/55296, 381437/13824, -15/512, 
  -738443/9216, -744865/55296, 0, -72597719/414720, -564508273/829440, 
  -1647061/138240, -296963/3840, -517114171/276480, 407951987/829440, 
  -787/72, 19534889/207360, 5/48, 40798513/110592, 363432989/829440, 
  -2828074537/663552, 151898507/3317760, -1910169877/2211840, 
  -19416629/207360, -520333793/368640, 2736315541/663552, 2278887383/6635520, 
  40088477/276480, 307545961/3317760, -124585421/921600, 
  -67859299049/16588800, -55663313/207360, -7757508611/1843200, 
  25839503/414720, -6818687821/6635520, 32128589573/3686400, 
  772806581/663552, -15006896111/6635520, -320160391/1105920, 
  8156879261/1843200, 104756087/276480, -12237566509/3317760, 
  -1366732883/829440, -3/16, -3/16, 5/64, -5/64, 3/64, 3/64, 23/64, 71/384, 
  -73/64, -385/384, -3/64, 1/16, 91/384, 415/384, -15/64, -3/8, 3/8, -31/32, 
  -31/32, 7/6, 167/384, 31/32, -301/384, -1/32, 1/32, -3/64, 3/64, -1/64, 
  -1/64, 1/32, 11/64, 5/64, 1/512, -47/512, 1/64, -11/64, -1/4, 23/512, 9/64, 
  1/32, 31/256, 23/256, -1/32, -1/32, -75/256, -45/128, 1/32, 67/256, 
  -31/256, -31/256, 31/256, -665/1536, -1497/2048, -1/32, -1/64, 773/1024, 0, 
  737/1536, 587/6144, 473/3072, 0, 1147/3072, 0, 113/192, 989/1024, -361/384, 
  -229/768, 3/64, 3785/2048, -85/256, 1/64, -1021/1024, -139/192, -5051/3072, 
  1/8, -13/64, -9/64, 0, 9/64, 9/64, 103/256, 11/64, 543/256, 403/256, 17/64, 
  1/4, -1/64, 3/8, 41/16, -97/128, -181/256, -1/4, 53/64, -167/64, -87/128, 
  -1/64, -9/64, -45/256, -7/16, -45/128, 121/128, -337/256, 15/128, 127/128, 
  -29/128, 15/64, 43/128, -193/144, 1639/576, -105311/5120, -5789/2304, 
  -266389/34560, -125333/15360, -207059/7680, 272957/8640, -242603/8640, 
  -1372523/69120, 0, -290627/55296, 4534717/18432, 1586581/138240, 
  4548929/9216, 111282959/69120, -25349327/276480, -16416871/23040, 
  -137048779/55296, -103451987/138240, 143839/8640, -15159883/92160, 
  -2125261/46080, -277375751/276480, -1465273/4320, 925562017/276480, 
  -406141/17280, 1027949/69120, 11028883/92160, 462173/17280, 
  -24422333/331776, -4917329521/8294400, -289882649/4147200, 
  583090679/1658880, 3499543607/8294400, -122933081/165888, 
  145425877/1658880, 837143107/1382400, 76464167/184320, -241819/15360, 
  10195927/1658880, 43480457/921600, -23822071/414720, 51244199/1658880, 
  14235061/276480, -294589/192000, 17583703823/179712000, -32074541/1382400, 
  -204480457/5760000, -26526637433/179712000, -144459523/5760000, -347/384, 
  -154810601797/599040000, -23757713/110592, -606467/384000, 
  141176092009/1797120000, -11763827/640000, -13750693/221184, 
  148549346431/898560000, -18165096503/599040000, 93463/4320, 
  16784683/384000, 70962065747/269568000, -6442258639/8294400, 
  -60970973/960000, -233611372321/179712000, 25287691/960000, 
  -45518261941/2695680000, 48582583121/119808000, -296481692201/1797120000, 
  -1704055390573/5391360000, 124167123539/1078272000, 
  -479387518463/1078272000, 495316247/2764800, -28973372071/119808000, 
  1430738963/8294400, 0, 27816221/207360, 1627829/311040, -626393/3456, 
  -139152443/622080, 4181209/1244160, 47707273/207360, 31149647/248832, 
  -9642473/207360, 1934623/69120, -392717/6912, 3893/1296, 4897823/207360, 
  -36095791/1244160, -17738017/124416, -4345229/34560, -441899/3456, 
  5079127/17280, 61435/576, -28207133/1244160, -2812841/41472, 
  -109242407/248832, 109465411/1244160, 1955544151/2488320, -7510763/17280, 
  -11606725/497664, 113590873/248832, -928141937/2488320, -208073729/2488320, 
  3/16, 3/16, -1/8, -1/8, -1/16, -1/16, -9/16, -3/8, 1/4, 1/8, 1/16, 9/16, 
  3/16, -1/8, -3/16, -1/128, -1/128, 1/128, -829/1920, -3681257833/22464000, 
  -3939400003/11232000, -221/384, -4209008173/22464000, -13/160, 3/32, 
  832367947/5616000, 26440549411/44928000, 799/1920, 4168638623/14976000, 
  7/40, -43/96, -3551525633/14976000, -4049114023/44928000, 77/384, 
  208087/9600, -4494889921/29952000, -1318235029/2662400, -3413/1800, 
  -2877106699/3456000, 0, -1938099959/44928000, 13158752579/71884800, 
  1027481347/3594240, -152109799/2764800, 14285343721/89856000, 
  11837509891/179712000, 31/128, -15235460551/179712000, -3/16, -97/32, 
  -829/256, 0, 1/8, 771/256, 829/256, 1/16, 5/256, 0, 1/4, 253/32, 57/32, 
  31/16, -841/256, -73/256, -47/32, -1/2, 19/32, 1/32, 87/64, 9/128, 
  -533/256, -109/128, -511/256, -31/128, -229/128, 2257/256, 767/256, 
  -101/32, 123/64, 49/16, 1/2, -249/64, -19/128, 0, 77/384, 93/256, 0, 
  125/768, 0, -3/32, 277/1152, -1/256, 0, -325/1152, 0, -7/96, -499/768, 
  -79/576, 5/384, 593/1536, 0, 0, 967/4608, 25/144, 4093/4608, -117/128, 
  1435/576, 3865/2304, 101/384, -39/64, -35/512, -1/16, 5/8, 35/512, 1/16, 
  -1/64, 0, -3/32, -1/8, -97/32, 25/32, -91/512, 13/64, -13/16, 57/16, -9/64, 
  -15/32, 67/64, 335/256, 17/32, -437/128, -203/128, 281/128, -729/128, 
  -1043/512, 2177/512, 309/128, -411/512, 7/64, -695/512, -21/512, -7/8, 
  1/32, -659/1536, 3/16, 101/1536, -7/32, -167/192, 1152724993/4147200, 
  695/256, 16381/320, 79186553/2073600, 7403/864, 15365683/103680, -3285/32, 
  -79039403/2073600, -78949/1536, 545/1536, -1867/1536, -3/16, 749/512, 7/32, 
  233/256, 207/256, -1/4, -13/64, 67/12, 0, 0, 0, 0, 0, 0, -1/8, -13/16, 
  -59/48, -13/16, -28616923/51840, -29/48, 4795/288, 0, 469/24, 7151/72, 
  7151/288, 0, 0, 0, 0, 3/2, 0, 0, 0, 0, 53/6, -101/48, -143/128, -87/8, 1/8, 
  -229/192, 0, -269/192, -1/18, -26/3, -1/8, 0, 41/72, -7/16, 5/16, -1/8, 0, 
  -1/8, -19/48, 173/24, 0, 91/48, -335/24, -25/4, 415/48, 433/24, 0, 0, 0, 0, 
  0, -9839/2880, -29/384, 0, 13/12, -79/16, -361/16, 343/96, 23/16, 
  30068443/51840, 2111/288, -9/4, 29/24, 0, 3/4, -18641/720, -50857/384, 
  -63/64, 0, 15287/1440, 0, 4963/288, 0, -17/8, -31, 2185/192, 3259/288, 
  4747/768, -26033/768, 743/48, -799/96, 3, 245/64, -3055/192, 5/8, -61/4, 
  7151/72, 32059243/207360, -93/8, -581/16, 0, 1987/288, -1/4, 4013/96, -1/8, 
  0, 5/3, 0, 11/8, -119/72, 0, 1583/120, -17/36, 0, -7231/192, 4045/192, 
  -25/4, 29/8, 0, 5/4, -271/8, 131/16, -9/2, 73/24, -1/36, 17/9, 7/4, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1357/96, 0, -1/6, 3/4, 5/96, 7459/512, 
  331232441/898560, 97/384, -71/96, -11838281/41472, -57698563/103680, 
  11625521/41472, 125/288, -185/64, -69/256, -439/128, 237/256, 171/256, 
  -3673/4608, 787/576, 11225/4608, 0, 163/256, 168965981/276480, 
  -63088621/138240, 332720047/276480, -342051127/276480, 615917/1280, 
  96616093/138240, 7426423/7680, -474787127/276480, 183/64, -475/64, -67/64, 
  -31/16, -3/4, -3/4, -1/8, -1/2, 0, 1/2, 1/8, 1/16, -1/16, 1/16, 0, 0, 
  -715/192, 221/64, -1/8, -1287/512, 6875/1536, -763/64, 15/32, -1/8, 
  59563/4608, 13463/768, -2191/192, -11005/768, 0, -1911/128, 0, -2399/384, 
  803/128, 1/8, -15/8, -23/32, 2, 0, 0, -7/32, 137/96, -355/384, 77/24, 
  173/64, 916/9, -2159/576, -155/48, 8031/128, 0, 0, -44977/2304, -761/384, 
  -1162739/7680, 2812397/11520, 298333/2560, 3869/128, 6779/384, 
  -2627837/23040, 384239/4608, -152105/4608, -8309/576, -1103842409/1331200, 
  -331232441/3594240, -8282497261/89856000, -53122188103/29952000, 
  -95477/320, -9972861091/2995200, -19/20, 16283491567/6656000, 
  983190569761/179712000, -57642303311/9984000, -1103842409/1331200, 
  41161524727/7488000, 156517723421/22464000, -14597967721/29952000, 
  -228841/9600, -5535100159/3594240, 16217/900, -18657519811/44928000, 
  316415969/44928, 0, 13/4, 13/4, 0, 0, 13/4, 0, 0, 337/256, -549/256, 0, 
  1929/512, 0, 73/512, -7/8, 7/8, -7/8, 0, 0, 0, -355/512, 0, -6745/1536, 
  -15193111/207360, 53836453/829440, 67/384, 19/64, 303007/5760, 
  -2318179/17280, -143957/13824, 497/64, 6517/4608, -4117/4608, 
  116981879/69120, -269723827/414720, 22961/1728, -13517/2304, -123/64, 
  13/64, 1518103/7680, -10915927/165888, -141234673/207360, 
  -193928051/103680, 158327341/207360, -48393631/414720, -1027257239/829440, 
  698591555/165888, 91683829/82944, 241319473/829440, 1459/512, 433/192, 
  107/64, -280433/3840, -7199/1152, 1938263/1382400, -37002167/414720, 
  188823353/829440, -1189/576, -75977/480, -2361/64, 62542613/691200, 5/32, 
  505/384, 767/512, 959/384, -1531/768, -85/768, 509/1536, 119/384, -131/768, 
  -5518890979/518400, 3040461929/86400, 43194025399/3110400, 
  6787065149/691200, -11870705423/2073600, 1851593119/2073600, 
  -152550983/5400, -42976109899/4147200, 20212979747/2073600, 
  -4441733959/1036800, 876777049/345600, -14606563973/518400, 
  -42705238919/4147200, -25870587301/1036800, 15662191259/4147200, 
  -39338043949/4147200, 25589427727/345600, 85859003573/3110400, 
  2534521/13824, -300389/3456, 1055/192, 699461/13824, -41153/360, 
  -796445/13824, -258931/15360, 44143/4608, 59727/1280, 7453/256, 27731/6912, 
  -27731/6912, -27731/6912, -1349311/25920, 5256769/103680, 1320151/25920, 
  -11/64, -239/32, -6395/576, -29537549/25920, -280182161/2073600, 
  -44910317/345600, 12442921/46080, 1527936611/2073600, 258413/7680, 
  -8495606053/16588800, -5999/1152, 1397834491/2073600, -3268900919/16588800, 
  -247377947/11520, 43237397/69120, 4211289881/207360, -1874412793/414720, 
  475136851/11520, 615082051/138240, 29640737/165888, 61349807/82944, 
  -1942275031/414720, 17227893347/414720, 581622679/103680, 232575569/829440, 
  -122336213/138240, 82281199/7680, 1/4, -1409520553/46080, -43055957/138240, 
  529630861/25920, 427193/13824, -287275/1728, -604927/6912, -375731/27648, 
  639505/27648, -193799/4608, 344777/6912, 288977/13824, -378323/27648, 
  753929/9216, -1759303/13824, 335597/6912, -32093/864, -427193/6912, 
  656303/9216, 0, 4564927/13824, 2863595/27648, -280433/3840, -7199/1152, 
  -3332137/1382400, -213521071/414720, -468623/27648, 79319/11520, 
  327383/3840, 35299/1152, -118926563/1382400, 1/2, 16042135117/67392000, 
  -1205/16, -415/96, 493/96, 109/6, 415/96, 8213/128, 52699/1152, 
  -122645/1152, -88739/1536, -59609/128, -34561/480, 158031032671/67392000, 
  -1857634717589/269568000, 25700103947/1797120, 3746319778451/134784000, 
  -45663713/46080, -1418613603109/44928000, -3011666090767/134784000, 
  -4417122806989/359424000, -5779260407797/215654400, 2389283/6912, 
  10055102017091/359424000, 410208718013/22464000, -297901/1600, 
  722962643/460800, -17447/600, -87039982123/269568000, 
  -1009904590507/67392000, 95/24, 5341/128, 463/64, -401827/6912, -94559/864, 
  773029/6912, 3359/384, 575/432, 221429/6912, 19215/256, 0, 0, -239/128, 
  -1/32, 15/32, -15/32, -1901/768, 1101/512, 29/32, -15/16, -1/4, 0, -3/16, 
  -9/16, 0, -313/512, -2, 0, -2, 0, 0, 0, 0, 0, 0, -353/256, 125/256, 99/512, 
  797/256, 0, 0, -4733/1536, 125/256, 299101/6400, 19738771/172800, 
  32119/4800, 665275747/691200, -29779573/4320, -258931213/69120, 
  41933087/69120, -172293/1280, 61348211/17280, 9360519/5120, 
  -51786557/138240, -247757551/138240, 181/512, -181/512, 9163/512, 
  -3520064983/1382400, 551130007/691200, 680604557/460800, 199839/1600, 
  -344549983/153600, 114841/7200, 1244491057/460800, 242258412611/89856000, 
  5425039/103680, 16592631937/4976640, -3/64, -28260911/248832, 
  -1846969609/552960, 16933817/311040, -100566319/829440, -5102333/4976640, 
  5366801989/4976640, 52509047/829440, 867129593/829440, 45413519/4976640, 
  -1594453/165888, -643664063/622080, 55997369/2488320, -29/128, 
  186439/82944, -675/1024, -58927/55296, -221863/82944, -2849/55296, 59/96, 
  -9257/82944, -96005/41472, 83/48, 310583/82944, 0, -4571/2048, 
  -41933/82944, 63/64, -505/216, -668507/27648, -107/32, -73/1152, 
  448765/4608, 199/3456, -28553/13824, 296873/9216, -446851/4608, 
  -263507/9216, -199561993/184320, -7231743499/1105920, -8378695651/3317760, 
  134431043/276480, 2919176831/829440, 9695951/23040, 765572501/221184, 
  16056833467/3317760, -239435053/165888, -6082261/3840, -75542251/165888, 
  -176802245/36864, -9227197/6144, 1960691549/552960, 702064783/552960, 
  375/32, -113/64, 45/32, -521/128, 921/128, -431/64, -1115/128, -631/128, 
  -623/128, -171/128, -125/128, -1193/128, 43/64, 205/128, -1/8, 119/144, 
  -1/3, -25/64, -59/36, 2581/2048, 31/72, 319/288, 1259/576, -53/144, -37/72, 
  13/48, 77/64, 37/72, 593/384, -15867/2048, -17803/6144, 0, -2663/3072, 0, 
  -373/192, 46969/9216, 683/256, -3859/2304, 6417/2048, 17497/6144, 
  -3927/1024, -131407/9216, 281/512, 0, -77/64, -667/768, -189/64, 91/384, 
  731/256, -3/8, -1007/192, -109/32, -5/64, 77/64, 11/6, -121/64, 59/16, 
  -247/256, -1541833/6912, -8225129/46080, -83/6, 69421111/138240, 
  81894271/138240, -27063251/138240, 634207/6912, -69613189/138240, 
  -4085119/27648, 145049/1152, 134443189/331776, 11821/1728, 
  -550208393/1658880, -118760005/331776, 12401/192, -7344071/96000, 
  7970419/1382400, 23090779/160000, 6242683/460800, 62415911/960000, 
  -7899887431/24960000, 3437001671/14976000, -107872820989/224640000, 
  -965/108, -8849/432, 3545/864, -10855/768, -2229085/27648, 331235/6912, 
  -998759/27648, -553903/27648, 4601509/27648, 241597/9216, -147/128, 
  453/256, 987/256, -453/256, -693/256, 3/32, -453/256, -423/256, 135/128, 
  -1789/256, 0, 3121/256, 1749/256, -823013/38400, -10184035723/8985600, 
  -8003630857/6912000, 2798471/115200, 35718235207/22464000, -14777/7200, 
  -1000792957/7488000, 185028493903/119808000, 137565819641/179712000, 
  8544555209/19968000, 662931614381/179712000, 165650636567/27648000, 
  -403093919/832000, -812296521649/179712000, -16399493551/59904000, 
  1095/256, 5/4, 0, -2005/256, -5/4, 455/128, -661/128, -521/192, 4007/384, 
  -9/8, 913/64, 7/4, -3339/256, -5603/384, 2429/256, 0, 1279/1536, 247/256, 
  0, 1319/1536, 0, 8839/1536, -6787/2048, -2193/256, -2813/512, -1633/1536, 
  -305/256, -1187/768, 2459/768, 135/256, -1/8, -365/1152, -187/384, 
  365/1152, 235/384, 13/32, 187/128, 89/576, -985/256, 221/1152, -29/144, 
  -937/1152, -9905/2304, 29/144, 0, 163/72, 221/4608, 0, -1703/512, 0, 
  -14033/4608, 1925/4608, 695/512, -695/512, 584368643/1658880, 
  1151899013/460800, 5279456593/8294400, -1232780969/995328, -1106663/288, 
  9645961907/4976640, -13886667107/9953280, -12948200653/2764800, 
  -139421293/165888, 907983527/2488320, -2288233429/1244160, 
  11909787989/12441600, 2839795813/2488320, -491280301/622080, 
  -575448071/331776, 25648441/414720, -44631203/276480, 218153491/829440, 
  -6170371/138240, -8246987/276480, -2989453/51840, 723223589/2488320, 
  -2129433071/2488320, -277229557/1244160, 18491849/55296, -43/192, 
  -12661/4608, -83/64, 1019/1152, 97/32, 55/48, -14675/6912, 8947/4608, 
  32419/13824, -5345/4608, -187/384, -282803/3840, -7367/1152, 
  -74120363/155520, 18705451/129600, 244033319/622080, -67006069/1658880, 
  103/384, 121/1152, 638261/165888, 932371/55296, 893233/55296, 
  -929827/82944, -739429/55296, -14735257/155520, 67135/4608, 4050353/155520, 
  6453329/77760, -501029/165888, -7175/3072, -151/192, 2623859/41472, 
  752317/55296, -12614717/30720, 2183401121/829440, -2787143963/2488320, 
  30634211/51840, 12458143339/4976640, -32392211/276480, 89994407/9216, 
  -147468241237/29859840, -3326252927/414720, -76186627/1105920, 
  3704519/15360, 16323751571/2073600, -35333748097/4147200, 
  -16566622921/691200, 5211806963/4147200, -1414224025/124416, -3844189/6480, 
  -18452247467/829440, 950624181689/12441600, 111768067/414720, 
  -7340542831/2488320, 208032349537/24883200, 282115048573/14929920, 
  124516304417/12441600, 48022287319/12441600, -64767/2560, 4713563/414720, 
  1324097/9216, 1211657/13824, 489703/4608, -174107/1440, -16354097/41472, 
  17423573/165888, 11676383/414720, -1097027/46080, -90157/20736, 
  -22763191/414720, 773639/34560, 1385851/51840, -12742667/1658880, 
  -55444999/1658880, -203/384, 594342556537/539136000, -8361823601/14976000, 
  2406431/96000, -423315869707/124416000, 97231333/2880000, 
  -118067047/276480, -9731398789/32348160, 170000036249/898560000, 
  55550999/276480, -253015961201/179712000, -16234944430079/4852224000, 
  816556339967/404352000, 8558443010041/1617408000, 847694054167/194088960, 
  6308029/103680, 135934235/331776, 2935850611/138240, 103272539/138240, 
  34584798047/1658880, -334130113/414720, -97793209/829440, -803947/27648, 
  -3520289281/4976640, 11241053/207360, 21101146177/2488320, 
  -8479934413/414720, -5015500961/552960, 2455595281/4976640, 
  83008571/1658880, -19/16, -420187/4608, 80589/2048, -133747/6912, 
  444977/4608, -379985/13824, -185/192, 866387/3456, 3775081/27648, -73/48, 
  133499/3072, 2785273/55296, 476869/9216, -197267/1728, -56575/3456, 
  593/384, -140873/11520, -37267/3456, -3604969/82944, -121319981/6220800, 
  -128188589/829440, -11316407/103680, 3971/3072, 84516913/1105920, 
  516154669/552960, 1674455483/663552, -52389299/276480, 46227947/165888, 
  4788187/34560, -131412061/2211840, -17387752943/6635520, -410775271/829440, 
  72772057/737280, 17027137/73728, -5145501607/3317760, -57636599/207360, 
  -1788943/1105920, 3907489/27648, -10649839/96000, 
  14696741855821/1078272000, 35393599778077/1078272000, -22372503/320000, 
  69724844543/21565440, -121168133/1440000, -498054158447/18720000, 
  -64336668936413/718848000, -2320730779157/2695680000, 
  23832357306611/399360000, -2897969560841/134784000, 
  -23844434123807/359424000, -2417763991381/269568000, 
  10448305194359/119808000, 97702326373/3369600, -133993081/368640, 
  540188771/368640, 16237/216, -2746561/69120, 216384601/414720, 
  2235293/7680, 428369273/737280, -9359/36, 69816521/414720, 460925/6912, 
  -716177347/1105920, 4370122457/1658880, 888769/2880, 13618763/27648, 
  12311399/34560, -420539/9600, 28159/7200, 0, 5/256, 341/384, 
  -7414379693/22464000, -877/512, 0, -39/8, 161/192, 267/64, 1799/256, 61/48, 
  0, 101/64, -37/32, -241/192, -29/16, -497/384, -95/192, -31/64, 277/192, 
  59/64, 0, 0, 0, 1199/768, -349/512, -197/384, -233/1536, 119/768, 1199/768, 
  -233/1536, 0, 241/288, 3925/2048, 59/384, -595/288, 0, -11/32, 339/1024, 
  595/288, -4603/2048, -241/288, -2681/1024, 87/32, -9703/9216, 1437/2048, 0, 
  -225526813/829440, 4525/256, -281723/5760, -4092257/172800, -7151/864, 
  -336522677/2073600, 64788697/1382400, 7527739/345600, 116937503/1382400, 
  7235/6144, -5111/256, -10325/1024, 225259/9216, 319/96, -12005539/192000, 
  -186393978179/215654400, 5247643043/8985600, 3986055979/17280000, 
  16493024731/15974400, -212514311/4320000, 8998004659/42120000, 
  3088035343/239616000, -91893140983/179712000, -12081680029/49920000, 
  -293877221/576000, -579909040499/359424000, -52389169/276480, 
  4230110119/5760000, 920965776779/359424000, 13893456373/17280000, 
  8920972959721/5391360000, 2245596577/1658880, -189266096413/59904000, 
  -2906909651843/2695680000, -52135899173/119808000, 13540900273/8294400, 
  377980844/131625, -276864703789/539136000, 53447880793/67392000, 
  16637351/69120, 2168210693/414720, 57217897/207360, 1310292421/829440, 
  -444644695/82944, -573938321/207360, -390237181/276480, -1710587843/207360, 
  -469877389/414720, 2093439/1280, 123886649/414720, 566139533/138240, 
  -1115697667/829440, 1764256009/829440, 45687611/55296, 455693441/3456000, 
  612965268467/1617408000, 45870849031/134784000, -15234793621/51840000, 
  -2675645371/8294400, -1833617/1620000, -344751124337/299520000, 
  -209107627037/539136000, 191384670977/299520000, 47567411171/179712000, 
  24997/3072, 7061/1024, -34427/3072, -7061/1024, 4715/1536, -14701/1536, 
  -2885/1024, 26363/3072, 4405/3072, 515/64, 1477/1536, -7883/1536, -475/64, 
  1/32, -2814739/38400, 981442477/2106000, 3519259483/2764800, 1589453/9600, 
  -561646465621/539136000, 26579/1152, 402062920813/539136000, -1074203/800, 
  138051168227/179712000, -1146418187/8294400, 327995913379/269568000, 
  1160077809/1331200, 13598949913/9984000, -333027407119/269568000, 
  12951466891/89856000, -207/64, 75/32, 731/96, 301865459/115200, 
  1470565189/460800, -168473/2304, 2219755/4608, 1/16, 15/4, 3/2, -9/4, 
  10267/768, -192899/768, 57610223/51840, -619567331/460800, 1038173/4608, 
  -1344047/4608, -25297/384, 247/32, 909117277/138240, -144954821/18432, 
  -92817/1280, -640077473/276480, -1123246937/230400, 1856643869/921600, 
  -55/32, 16081/2304, 9/32, 11949/512, -30865133/1658880, 31420129/1658880, 
  93361321/1658880, 55653949/414720, 2357231353/829440, 1285533841/69120, 
  -274629869/552960, -3548990903/165888, 140380021/552960, -163718333/184320, 
  -2296859/552960, -102467629/184320, 25739798131321/1797120000, 
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  819840319/138240, 29/64, 0, 0, 0, -1/32, 0, 0, 0, 0, 0, 1/32, 0, 0, 7/64, 
  3/64, 1/256, -91/256, -3/64, -7/64, 1/16, 3/32, -1/32, 23/256, 73/256, 
  3/64, 0, -1/128, -21/512, 0, 1/16, -5/64, 13/512, 0, 13/128, 0, -7/32, 
  -225/512, -41/128, -169/512, -23/128, 23/256, -37/256, -7/128, -27/256, 
  -41/256, -37/128, -255/512, -1/32, 1/16, 25/256, 169/512, -1/128, -21/512, 
  9/256, 21/512, 0, 0, 0, 0, 0, 3/64, 43/256, 0, 0, -47/256, 0, -3/32, 
  -227/256, -119/256, -5/64, -1/64, -3/64, 0, 0, 3/32, 0, 45/256, 3/128, 0, 
  13/32, 0, 0, -5/64, 73/256, -13/192, -7/96, 1/192, -13/192, -7/96, 5/48, 
  7/96, -5/192, -11/192, -13/192, -7/192, -7/192, 11/192, 7/192, 3/64, 0, 0, 
  1/192, -5/96, -41/192, 13/192, 1/192, 551/768, 9/128, -129/256, 17/768, 
  5/192, 157/768, 17/128, 9/128, 3/64, 13/96, -15/64, 0, -59/192, 0, 
  -287/768, 1/192, -59/256, 7/48, -5/96, -41/192, -175/768, -53/256, -1/192, 
  7/32, 1/32, 551/768, 87/128, 73/192, -129/256, 7/128, 19/256, -1/256, 
  -19/48, -225/512, -103/768, 265/512, 407/768, 11/8, -9/512, -703/384, 0, 
  -95/96, -1/96, -1/32, 1127/1536, 35/256, 0, -257/1536, 0, 1/8, 77/1536, 
  -5/192, -63/128, -5/16, -83/256, -3/64, 409/768, 1/8, 1/32, -3/64, 41/256, 
  93/256, 3/64, -3/64, 119/128, 19/32, -133/256, -1/8, -1/32, -111/128, 5/64, 
  5/64, -9/64, 57/256, 107/256, -5/64, 13/64, -21/256, 0, 7/64, 7/64, -7/64, 
  -1/16, 0, 1/16, -3/64, -73/128, -67/128, 3/64, 3/16, 1/64, 125/128, 93/64, 
  -1/8, -5/32, -119/128, 5/64, 1/8, -1/32, -5/32, 103/128, 103/128, -3/16, 
  3/32, -103/128, 1/16, 7/32, 7/32, -7/32, 0, 3/128, 23/256, 0, -57/256, 0, 
  -5/64, -15/128, -103/256, 0, 101/128, 0, 3/64, 1/4, -145/256, 1/16, 1/64, 
  -15/256, -53/128, 0, 129/256, -35/256, 37/64, -169/256, -109/256, 53/256, 
  115/256, -89/256, 0, 7379359949/1290240, 49196614777/3870720, 
  -70415771/552960, -245/384, -43551695791/7741440, -10703414371/774144, 
  -287293/5120, -1641018805/1548288, -6841/768, 739697/8640, 
  -918044557/69120, -14828179837/1935360, -4820203/1920, 25861681211/1935360, 
  2975323723/1935360, -5869591/34560, 3660008567/241920, 9141430519/967680, 
  1474549/17280, 35609216107/6635520, -10256565533/15482880, 
  -556493755/663552, -6670638053/552960, 109348967531/46448640, 
  22119299369/2903040, -24325537349/23224320, -2386256651/2322432, 
  87800430581/46448640, -4279255861/23224320, 0, -1469953529/516096, 
  -40377244351/7741440, 5274527/138240, 3/64, 4144344779/3870720, 
  41158574831/7741440, 289733/15360, 677187581/368640, 6881/2304, 
  -1328243/69120, 13385275391/3870720, 16568229571/3870720, 348136111/483840, 
  -12243030329/7741440, -19580359/53760, 577399/17280, -595160561/241920, 
  -119334407/80640, -64493/4320, -1314648817/737280, -45491003387/232243200, 
  -171309152017/58060800, 64314343063/46448640, -616718050199/232243200, 
  2882493529/3317760, 33922755193/6635520, -198082124491/232243200, 
  -37906469483/23224320, -15424672825/4644864, -3113528977/23224320, 
  269370779/414720, 1027512691/7741440, 2005810847/11612160, 13831261/552960, 
  0, -1469639033/516096, -19633532449/7741440, -660514063/774144, 263/384, 
  6051922277/1548288, 17092791437/7741440, 282413/15360, -18877773/35840, 
  6761/2304, -1328243/69120, 296612635/86016, 529707151/774144, 
  113698723/161280, -36389502173/7741440, -85051991/107520, 577399/17280, 
  -598700237/241920, -13314341/8960, -64493/4320, -2384155349/1327104, 
  -47670961981/16588800, 4215218219/907200, -14099663957/6635520, 
  315190779461/116121600, -994146841/1105920, 34375575817/6635520, 
  26475481061/77414400, 34697947661/9289728, -26044205839/7741440, 
  379786597/5160960, 17361585863/46448640, -3106776637/23224320, 
  -152953609/1720320, 1/32, -12871007629/2580480, 64362343/120960, 0, 
  2861823497/516096, 0, 1/8, 23533605617/3870720, 1010172077/967680, 
  289733/15360, -48752904259/7741440, 6881/2304, 1/48, -4098515641/967680, 
  -264198083/138240, 1/32, -1/16, 103972725329/116121600, 
  -186756114337/58060800, 0, 51452863943/116121600, 0, -94490634179/46448640, 
  1131316572269/232243200, -4298561321/2322432, 25122870571/23224320, 
  28056648853/15482880, -48940807501/46448640, 990273301/1105920, 
  -8883884369/3317760, 3117429937/23224320, 1/32, 1/32, -1/32, -1/32, -3/32, 
  -1/16, 1/16, 1/32, 3/32, 1/32, -1/32, -1/32, 149/768, 819652939/138240, 
  819626119/138240, -43/256, -43/256, -31/64, -819666259/138240, 43/256, 
  223/768, -1/384, -1/384, 1/384, 1/16, 7/64, -13/384, -1/16, -41/128, 
  13/384, 0, 27/128, 0, -11/64, -819699199/276480, -819627199/276480, 0, 
  11/48, 1/96, 5/32, 819668959/276480, 1/16, -3/64, 353/768, -289/768, 1/32, 
  -13/16, 59/128, 325/768, 49/256, -67/768, 1/16, 3/64, -819630079/276480, 
  -819625759/276480, -5/64, -49/384, -19/384, -11/64, -819645199/276480, 
  3/32, 13/64, 47/192, 5/32, 819612799/276480, -25/128, -3/64, 293/768, 
  819682819/138240, 819630079/138240, -51/256, -51/256, -101/128, 
  -819696139/138240, 51/256, 421/768, -1/384, -1/384, 1/384, 13/384, 0, 
  -13/384, -1/32, -5/192, 0, 1/16, 11/384, -1/16, 1/16, 1/64, -7/96, -1/32, 
  0, 819707119/276480, 819618559/276480, 0, -2/3, -27/256, -819732319/276480, 
  -7/96, 57/256, -43/768, 1/4, 295/768, -1/32, 1/32, 1/64, 5/64, 
  -819626479/92160, -819626479/92160, -1/32, -3/64, 1/64, -3/64, -1/4, 
  55/256, 819690919/276480, 1/2, 25/64, 819715219/138240, -29/64, 9/64, 
  -31/128, -9/64, -1/8, -1/8, 5/64, -819609199/276480, -819630799/276480, 0, 
  0, 1/64, 1/32, -7/64, -13/64, 819596239/276480, 0, -1/32, 3/32, 1/8, 1/64, 
  1/16, -11/32, -13/32, 819569239/138240, 819569239/138240, 15/32, 15/16, 
  -819569239/138240, -17/32, 9/32, 9/32, -9/32, 0, -819622159/184320, 0, 
  819622159/184320, 0, 1/64, 0, -819625039/184320, 0, 1/64, -1/64, 
  819745279/184320, -9/256, 0, -819853999/552960, 0, -819548719/276480, 
  819722479/184320, -819586879/276480, 819676999/92160, -215/256, 23/256, 
  -819536479/276480, -819712519/138240, -23/128, 0, 1/32, 0, -1/32, 0, 0, 0, 
  0, 0, 0, -1/32, 0, 0, -1/32, 0, -35/512, 0, 35/512, 0, -3/64, 11/128, 0, 
  -83/512, 0, 5/64, -1/16, -1/16, -1/32, 41/192, 819567169/276480, 
  819551743/221184, 103/1536, 819446119/1105920, -407/1536, 
  -819798199/138240, -819243619/552960, 819777823/110592, 819789199/138240, 
  -819545749/276480, -819545263/221184, -819420919/1105920, 819408409/276480, 
  1/512, -1/32, -749/1536, 0, 749/1536, 0, -3/64, 1/32, 9/64, 0, -605/1536, 
  0, 5/64, -9/64, -1/8, -1/32, -35/192, 819994309/276480, -819444319/368640, 
  -103/1536, -5737660033/1105920, 407/1536, -819603799/138240, 
  -819805147/110592, 819522079/552960, 819647359/138240, -819862009/276480, 
  819433519/368640, 5737274833/1105920, 820040389/276480, -1/512, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -29/48, 0, 25/128, 0, 0, 819731599/138240, 0, 
  819637279/46080, -1/64, -1/16, -3/64, -1/16, 0, 1/16, -1/32, 
  819617839/34560, 67/64, 819584899/17280, 819523339/34560, 5/64, -41/32, 
  -9/4, -3/64, 5/64, -9/32, -3/64, 3/32, -819634687/55296, -819569239/46080, 
  5738124073/276480, 9016226069/276480, 7/64, -1/8, -19/64, -819684079/92160, 
  5/64, 0, -819781999/276480, -19/32, -7/64, -819812239/276480, 
  819820879/276480, -1/16, 819976399/276480, -1/32, -11/64, 41/16, 33/32, 
  -818719279/276480, -819704239/276480, 5/64, -3/64, -9/8, -3/64, 1/16, 
  819883519/276480, 819870559/276480, -819567079/138240, -819623239/138240, 
  59/64, -819627775/55296, 819484999/69120, 409810067/8640, 
  9015919349/276480, -39/128, -819697759/276480, -55/64, -819653119/92160, 
  -5/64, 1/32, 0, -1/32, -1/16, -819720439/69120, -819657799/69120, 
  -819646999/69120, -819501199/69120, 85/64, 1/8, 819791719/69120, 
  819720439/69120, -1/16, -1/64, 5/32, 0, -9/64, 1/32, 819693439/92160, 
  -819633499/69120, 5736694153/276480, 5736730873/276480, -7/64, 1/8, 1/8, 
  819643759/55296, -1/8, -1/32, 0, 1/32, 0, 0, 0, 1/32, -7/128, 0, 3/64, 
  -9/128, 11/128, 0, 11/128, 0, -11/128, -175/512, -15/128, -345/512, 
  -81/256, -1/128, 1/128, -1/64, -7/64, 0, -1/64, 1/32, 1/8, 1/64, -1/128, 
  197/512, 45/512, 39/256, -55/256, 1/64, 5/64, -17/256, 165/512, -9/128, 
  3/64, 7/64, 0, -3/64, -1/16, -85/512, 11/512, -1/64, 61/512, -19/96, 
  -19/96, -103/1536, 1/32, -103/1536, 455/1536, 407/1536, 11/16, 11/16, 
  -295/512, -295/512, -47/96, -47/96, 35/192, -1/32, -1/64, 55/1536, -61/768, 
  -481/1536, -139/192, 29/128, -1/24, 481/512, 109/768, 13/24, 11/192, 1/64, 
  41/768, -1/32, 17/768, 13/768, 1/192, -215/768, -21/128, -1/48, -17/768, 
  1/32, 17/768, -1/32, 1/32, -15/128, -15/128, 1/64, 1/16, -1/64, -1/64, 
  35/128, 13/32, -3/64, -3/64, 1/32, -35/128, 1/32, -1/64, 1/32, -7/64, 
  -9/64, 45/128, 45/128, 1/64, 3/64, 13/64, -1/16, -53/128, -1/32, -5/64, 
  1/16, 1/64, 7/64, 7/64, 1/16, -3/64, -1/16, 0, -22181106607/7741440, 
  -40377244351/7741440, 5274527/138240, 1/32, 4082296751/7741440, 
  41163130991/7741440, 0, 2323695613/967680, 0, 37/64, 778669555/110592, 
  413733559/241920, 233/384, 24973538711/7741440, -13074178081/2580480, 
  282413/15360, -708329971/241920, 6761/2304, 644467/69120, 
  -2965978867/967680, 383557/69120, -5602339171/1935360, -256127713/322560, 
  -367481/34560, -3719/540, 0, 3601399/69120, 66965915117/58060800, 
  -173524453357/58060800, -3/64, 82601218349/116121600, 
  -81756941699/29030400, 0, 66766763003/116121600, -5558587/414720, 
  4894288211/8294400, 56250750103/8601600, -95709223391/46448640, 
  50893961791/23224320, -994315321/1105920, 2984561/103680, 
  -114775431889/58060800, 169716918277/46448640, -6076447/414720, 
  3905735299/2211840, -155238497333/232243200, -18718794649/77414400, 
  990476341/1105920, 188535389809/232243200, -3921687961/967680, 
  48132841837/29030400, -11951439419/11612160, 11724825331/5160960, 
  3113528977/23224320, -16586718887/46448640, -3110625937/23224320, 1/32, 
  1/32, -1/32, -1/32, -7/64, -5/64, -1/64, 3/64, 1/32, 1/8, 3/64, 1/32, 
  -1/64, -3/64, -1/64, -1/32, 53/768, 71/768, -1/128, 1/32, -119/768, 
  -143/768, 5/64, 819566719/276480, 819583639/276480, -3/32, 95/768, -1/16, 
  -819566359/276480, 17/128, 1/64, -3/16, -5/32, 1/32, 3/64, 3/64, 3/8, 5/32, 
  -3/64, -33/128, 1/64, 1/64, 1/64, 1/64, -1/32, -1/64, -1/32, -1/64, 1/64, 
  1/64, -1/64, -819622159/552960, -819613519/552960, 0, 0, -1/64, -1/64, 
  -819613519/276480, -819622159/552960, 0, 1/32, 1/64, 819617839/276480, 
  -1/64, 9/64, 9/64, 41/256, 41/256, -13/64, -11/32, -41/256, 13/64, -9/64, 
  -9/64, 9/64, -1/64, -59/512, 1/32, 0, 67/512, 1/32, -1/64, -67/512, -1/64, 
  0, 0, 0, 0, -19/96, -819493369/276480, -819592639/122880, -103/1536, 
  -819607687/221184, 407/1536, 11/16, 819434689/276480, -353/768, -47/96, 0, 
  0, 819522709/276480, 819592879/122880, 819609559/221184, -819398329/276480, 
  -33/512, -1/32, -1/32, 0, 1/32, 1/32, -1/32, 819614959/92160, 
  819618919/34560, -3/64, 819613519/92160, 10654522147/276480, -1/32, 
  819512431/55296, -1/32, 1/32, -819653479/34560, 1/16, -10654880707/276480, 
  -819531439/55296, 1, 63/64, 3/64, 1/64, -9/64, -5/64, 0, 1/64, 
  -5737264393/276480, -819593839/30720, -819596239/138240, -819393199/69120, 
  19/32, -1/64, 10655286787/276480, 819562759/34560, -1, -3/64, -1/8, 3/64, 
  -7/64, 819600559/138240, -819807919/276480, -17/32, -819614959/92160, 1/8, 
  -1/64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 163/256, 0, -170/9, 170/9, 0, 0, -5/4, 
  0, 0, 0, 3/8, -3/8, 721/96, -721/96, 179/32, -131/48, 34945/1728, 
  -2789/2304, 0, 0, -1/16, 0, -73519/6912, -73519/6912, -73519/6912, 
  -3539/3456, 167/768, 167/768, 307/1728, 11/48, 1955/2304, 1955/2304, 
  389/288, 1/8, -1/8, 288571/6912, 73933/3456, -719/576, -11/48, -75/128, 
  83/128, 74347/6912, 74347/6912, 0, 5/2, -1061/1152, -2375/2304, -2375/2304, 
  713/192, -1621/576, -1747/192, 563/32, -3/16, -3/16, 1/16, 1, 1, 5/16, 
  6521/432, -6521/432, -34945/1728, -111/16, 95785/1728, 8455/288, 
  -30859/1728, 1181/288, -379/32, 22789/1728, -1883/192, 12173/576, 11/96, 
  -1049/192, 49/32, 2789/2304, 0, 0, -3/16, 0, 0, 1/8, 0, -19087/768, 
  -1103/128, 0, 0, -43441/144, -22733/1728, -25859/1152, -829/1752, -239/256, 
  -2047/768, -1037/384, -371/768, -1315/768, 1991/256, 2637/128, -3875/64, 0, 
  0, -589/36, 9397/288, -2473/144, 0, -3983/288, 0, 60331/576, 12337/192, 
  12737/192, -34055/576, -40931/1152, -40931/1152, 22895/864, 104293/2304, 
  130957/2304, 4187/144, 0, 0, 0, 4187/144, 0, 0, 0, 0, 0, 83/16, 0, 0, 0, 0, 
  0, 5/8, 0, 0, 0, 11881/192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/8, 
  0, 0, 0, 0, 0, 0, 22331/6912, 0, -5/2, 0, 0, 0, -3/8, -1753/72, -125/24, 
  2345/144, -2345/144, 266/9, -85/576, 85/576, 0, 3/8, 0, -643/96, 5435/288, 
  131/48, -5117/288, 0, 0, 3/16, 288571/6912, 48401/768, 73933/3456, 0, 
  95/192, -833/1728, 4165/864, 3775/1152, -719/576, -5419/6912, -7973/6912, 
  -11/48, -269/1152, -11/48, 15533/2304, 5305/768, 13/32, -75/128, -1/2, 
  11/32, 83/128, 1/2, 73519/6912, 0, -1277/48, -2537/1152, -459/64, 3591/128, 
  199/2304, -715/192, -4021/1152, 977/2304, 3/16, -5/16, 9/16, 0, -1/16, 
  11/16, -671/32, 10321/864, -4565/144, 9913/1728, 6907/288, 89/192, 
  -34945/864, 0, -60773/864, 11107/576, -1121/576, -8053/576, 148147/6912, 0, 
  0, 5/16, -1/8, -1561/3504, -941/7008, 719/2336, -6671/7008, 211/7008, 
  1807/876, 1001/384, 13519/768, -2875/768, -20731/768, -3143/384, 54427/768, 
  3/8, -133/24, 0, 4829/144, -9397/96, 4451/96, 917/24, -38351/432, 
  256793/864, 112595/576, -23335/1152, -520345/3456, 209/292, 1/584, 
  -4075/7008, -3289/7008, 361/256, 305/768, -5635/384, 8757/256, 5525/288, 0, 
  0, 5087/144, 33989/432, -225277/1728, -36125/576, -356723/6912, -1241/36, 
  0, 0, 4187/144, -1241/36, 0, 0, 0, 3/4, 0, 0, 0, 75/16, -3/4, 0, 0, 3/4, 
  -11881/192, 0, 11881/192, 0, 0, 0, 3/8, 0, 0, 0, 0, 0, -3/8, 0, 0, 3/8, 
  22331/6912, 22331/6912, 0, 0, 0, 0, 0, 0, 133/18, 170/9, -170/9, 0, -1/32, 
  0, -1/16, -3/16, -9/32, 0, 1/2, 0, -5/32, -11/16, -281/144, 74521/9216, 0, 
  -1267789/10752, 0, -56683327/258048, 0, 0, 0, 3/32, 0, 0, 0, 73483/6912, 
  -1/32, 11741/6912, 1061/216, -469/96, 323/576, -247/768, 173/256, 1/32, 
  -5/32, 1/32, 0, 0, 71/32, 1/16, -13213535/516096, 19919/768, 
  -17643023/516096, -1850136187/23224320, -6487/1152, 1281551/3072, 
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  -6487/1152, 715/384, 10777/1152, 13315/2304, -10777/2304, -91/256, -91/256, 
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  35017/1728, 8916500149/11612160, -87982493/362880, -226306799/430080, 
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  159/128, -9/128, 47/64, -23/192, 47/128, -377/192, 131/384, 0, 7/4, -7/4, 
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  -819788119/138240, 819548719/55296, 103/384, 5737270243/276480, -407/384, 
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  948540693/143360, -5/48, -702633781/81920, 5329845929/1161216, 
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  48134365921/2903040, -26992182629/116121600, 36140287721/23224320, 
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  -30440899/276480, -30440899/276480, 37871749/143360, 37907589/143360, 
  30440899/276480, -37889669/143360, 1103035823/3870720, 1103035823/3870720, 
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  -30440899/276480, 37845989/143360, 37907589/143360, 30440899/276480, 
  -37889669/143360, 1103035823/3870720, 1103035823/3870720, 
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  -2300086897/3870720, 259/1152, 136160847/143360, 0, -354901181/430080, 1/4, 
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  0, 11/64, 0, 0, 0, -41/48, -819490039/138240, -819548287/55296, -103/384, 
  -819567889/92160, 407/384, 85/32, -877/256, -819988459/138240, -319/192, 
  819489319/138240, 819540943/55296, 819601159/92160, -819169279/138240, 
  1/128, -1/16, -131/384, 1/16, 0, 149/384, -1/8, -15/32, -161/384, 11/32, 
  -5/64, -5/64, 11/64, 11/32, 1/64, 0, 1045/1024, 0, 0, -209/192, 0, 31/64, 
  0, 51213889/8640, 0, -819639439/138240, 1/4, 23/16, -23/16, 0, 0, -23/16, 
  39/64, 819539359/46080, 0, 819718279/69120, 819595699/69120, -1, 81/64, 
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  819564055/27648, 819186919/138240, -819653479/69120, -819586249/34560, 
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  51/64, 819503899/69120, -818914759/138240, -819238759/138240, 
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  39544681993/2580480, 2951130295/774144, -194016609547/7741440, 
  -11332289387/1935360, 3153601651/430080, 2615243563/552960, -376613/180, 
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  -67195507613/7741440, 3998578931/3870720, 150678847121/2580480, 
  37028128513/516096, 862864141/967680, 118327019371/7741440, 
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  58209502427/23224320, -155662637/1290240, 9/160, 8021357/460800, -111/640, 
  69518557/768000, 4193280173011/718848000, 268035223/11520000, 
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  22518427/691200, 12548371/691200, 18377/7200, 237091/57600, -1/16, 
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  -1380852322249/66355200, -197958996613/11059200, 819917359/276480, 
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  -819649159/69120, 2822093/57600, 430262171179/232243200, 0, 0, 
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  227524219/12800, 7375472551/276480, 53751/3200, 4644215581/92160, 
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  2441215109533/116121600, -648244869274931/30191616000, 
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  -8173502027273/10063872000, 5514583/172800, 712929634017983/30191616000, 
  5328765755767/232243200, 7736632867273/10063872000, 
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  -600352482829/12902400, 396691913338961/10063872000, 819725129/17280, 0, 
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  833314198159/696729600, -422075980033/232243200, 459209/1620, 
  656870185667/348364800, -89068918423/16588800, 122433689131/139345920, 
  -824892573889/232243200, -1043/4608, 1561149701/1935360, 
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  628273033/1741824, -54429173/184320, -99494105983/69672960, 
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  17/128, -1831/1536, -89/256, -7/32, -41/128, 9/32, 11/32, 13/128, 75/128, 
  51/256, 7/256, 131/512, 1/32, -49/32, -321/256, 285/512, 195/128, -93/512, 
  -1/8, 0, 93/512, 0, 551922487009/83607552, 804658065823/139345920, 
  884310599/967680, -298813/15360, -411597168881/52254720, 
  -616019106511/139345920, 753539/46080, 717046551491/418037760, 7001/2304, 
  -480902057/161280, -102710656571/21772800, -196843399/53760, 
  9931657571/2322432, 29012383391/6220800, 419107817/23224320, 
  17655946751/12902400, -83968685009/23224320, -435659267377/58060800, 
  1301843591/276480, -589796287/580608, -289878643301/418037760, 
  10395306853/2211840, 112629397/1105920, 385275858779/59719680, 
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  -634185823/102060, -21999055447/11612160, 321762579889/348364800, 
  -18133081/552960, -1/16, -5/384, 1/12, 1/16, 139/384, -1/12, 0, -67/192, 0, 
  3/16, -819450439/276480, -819625759/276480, 37/96, -541/768, -21/64, -1/16, 
  819484279/276480, -89/192, -1/16, -599/768, 819662479/276480, 
  819622879/276480, 559/768, -5/24, 0, -55/384, -819955519/276480, 953/768, 
  533/768, -1/12, 61/128, 0, -5/384, -819632419/138240, -819807019/138240, 0, 
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  819768409/138240, 0, 819557359/276480, 818410039/552960, 5/24, -11/64, 
  167/512, -819229759/276480, 3/128, 819632419/138240, 819644191/55296, -7/4, 
  819576079/92160, -819695719/92160, -819615859/138240, -409865687/34560, 
  -819612979/138240, -409839497/34560, 819830329/138240, -819535639/92160, 
  7/4, 1/16, 819535639/92160, 0, 35/512, 93/1024, 0, 23/1024, 0, 45/64, 
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  -103/1536, -819948319/1105920, 407/1536, 819826009/92160, 
  -819331999/368640, -15572729941/1105920, -819922249/92160, 
  819545749/276480, 819645703/221184, 819420919/1105920, -819329569/276480, 
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  15/128, 819954799/69120, 819775519/46080, -3/64, -1/32, 7/64, 21/32, 7/64, 
  39/64, -1/64, 819584719/92160, 819710719/276480, -819740689/46080, 
  -819781279/46080, -7/64, -17/32, 11/64, 819637279/92160, -5/64, 
  385885415/193536, 5013089789/2903040, 17939/576, 1/32, 
  -898883412509/696729600, 70700661533/24883200, -2010484700713/696729600, 
  -129066978407/38707200, -55638823/276480, -549148121/483840, 
  5819604466453/696729600, 72941/3456, -73757819753/19353600, 
  14685701/138240, -385926743/193536, -152569461067/46448640, -504379/6912, 
  651319009/138240, 66774788747/34836480, -96130261/69120, 
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  -501962673497/232243200, -25380271279/5529600, -939899/46080, 
  136807341941/38707200, 109/72, -7546981/138240, -104332318067/23224320, 
  1182841/82944, 222306969331/348364800, 5568617041/139345920, 2544571/82944, 
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  684585065989/139345920, -1393437316757/232243200, 509719787/276480, 
  -76222487/829440, 1837961117723/348364800, -1037227941677/139345920, 
  694471/10368, 48327541459/69672960, 53709227119/46448640, 
  646709669/2322432, -24753975797/34836480, -35541481/552960, 3010067/414720, 
  -39666369223/6635520, -39670700743/6635520, 1/64, -2227523491/737280, 
  -20003219167/6635520, 0, 12773/110592, 0, -23761501/1658880, 
  39672607303/6635520, -13/64, 6686813573/2211840, 1031/768, 
  11837873/1658880, 33/128, 5396449/829440, -5072921267/116121600, 
  53949418939/6451200, 15154865/18432, 2504019088267/232243200, 
  -26867287/552960, -5210689/414720, 2235998021/77414400, 
  -1371347717/1658880, 4966609/829440, -30318199/36864, 
  -109341945107/23224320, 11305051/829440, 684849211/829440, 
  58043599/1658880, 13/48, 35/192, -819664099/276480, -819630799/552960, 
  103/1536, 819538999/552960, -407/1536, -49/64, -21/32, -819425419/276480, 
  -819544669/138240, 95/192, 91/192, -11/192, 19/192, 9/32, 
  -2283839827579/232243200, -266358652727/77414400, 2542461023687/232243200, 
  11/96, -167/384, 1258748959057/58060800, -11/192, -15/256, -7/32, 
  -111220316329/23224320, 15/256, -41/96, -819507769/276480, 
  -819551743/221184, -103/768, -819439639/1105920, 407/768, 23/16, 
  -641/15360, -819674647/276480, -539/512, 41/96, 819505249/138240, 
  819548503/110592, 103/768, 819576919/184320, -407/768, -23/16, 
  -819276991/276480, -819531991/276480, 1583/1536, -819502729/276480, 
  -819556063/221184, -819604375/221184, 819292849/276480, 25/512, 101/96, 
  -2628030860359/116121600, -266436860927/38707200, 45/64, 
  -1939560191599/116121600, 99915152809/8294400, 119/512, 
  1509553470947/116121600, -391/512, -857/256, 1258845349057/29030400, 
  -537/256, 1775260030777/29030400, 3278502901/138240, 203/128, 263/384, 
  -161/192, 2513304548099/77414400, 173454471163/232243200, 
  2283882012379/232243200, -349342977559/11612160, -2542177523687/232243200, 
  265/96, -400486021309/6451200, -2119432248607/58060800, -129/128, 
  -2283842549179/232243200, 845783098163/77414400, 135352299251/8601600, 
  742445059687/58060800, -111216808489/23224320, 0, 35456352041/15482880, 
  51098968595/9289728, 6134129965/663552, 102391/5120, -62728135951/23224320, 
  -53802726481/6635520, 4685/2304, 9803633/6480, -5/48, 165739471/71680, 
  -1892296357519/116121600, -83583662971/9289728, 24603964841/15482880, 
  5767034663/737280, -156241133/103680, -19455194287/38707200, 
  464888177921/232243200, -54875919601/23224320, -31640514361/6451200, 
  -29154176201/5806080, 334297288337/77414400, -4828077869/460800, 
  -31284995149/7741440, -259829623069/116121600, -10350737219/5806080, 
  1246261457509/116121600, 168736054667/77414400, 720621272081/46448640, 
  -1512236810537/116121600, -3218686057/573440, 625781419829/46448640, 
  114774638989/11612160, 72773486509/77414400, -257218697/580608, 1/16, 
  68623577/829440, 932805691/103680, 819623839/92160, -3/64, 
  -25930163/165888, -29374235/165888, -5/64, -31306845439/11612160, 
  -8907876301/774144, 125/128, 29544443/165888, -1/16, 10114877867/3870720, 
  -197/192, 5/64, 3/8, 4281451277/11612160, 4518726077/11612160, 103/128, 
  103/128, -89/192, -4641687797/11612160, -103/128, 61/384, 7/32, 7/32, 
  -7/32, 1/32, -1/32, 1/64, 12808231/8640, 400253/270, 0, 0, -1/32, -5/64, 
  1/64, 1639027373/552960, 819317869/552960, 0, 5/64, 1/16, 
  -1639036013/552960, -3/64, -1/32, -1/32, 0, -2391/4096, -2391/4096, 7/64, 
  5/64, 2391/4096, -5/64, 1/32, 1/32, -1/32, -19/96, 1307/3072, 
  -819537919/221184, -103/1536, -819614167/221184, 407/1536, 35/192, 67/3072, 
  819325591/221184, 103/1536, 819566935/221184, -407/1536, -45/64, 1301/3072, 
  41/192, 103/192, -1/64, -489/1024, 819505519/221184, 819682999/221184, 
  -819515149/276480, -819429479/122880, -819663991/221184, 819351889/276480, 
  11/256, 59/512, -77/512, 25/64, 819629719/276480, -5/64, 819656359/92160, 
  819600199/92160, -1/32, 819320839/276480, 3/64, -819522799/276480, 
  819622159/69120, -819507679/92160, -820111399/276480, -819320839/276480, 
  59/64, -819623239/69120, -819387799/138240, 1/64, -25/64, 
  -819686959/276480, -819068119/276480, -819196099/138240, -819002239/276480, 
  819851479/92160, 819321919/276480, 819405079/138240, 53/256, -3/64, -5/256, 
  428449/34560, -1001706982747/160903680, -125527958604997/5792532480, 
  -17392637092973/1158506496, 66720565099/827504640, 
  -141345988068569/11585064960, -11293107773567/965422080, 
  -1153343169907/7723376640, 8610052471877/46340259840, 
  7931062952699/46340259840, 20254262827/165500928, 
  18893818234643/1655009280, 125765281711817/5792532480, 
  1553122540141/3861688320, 22276327582997/1655009280, 
  -9043230080947/23170129920, -23083763186497/23170129920, 
  -1328423540865469/231701299200, -10301119350997/33100185600, 
  110096754980533/115850649600, -20796307999567/139020779520, 
  -24128435281283/57925324800, 29429934949523/9654220800, 
  19243487119021/139020779520, 1173125631300239/347551948800, 
  -6416379347369/5148917760, 31300455279811/27804155904, 
  -2288481822057343/695103897600, 10377050965861/9268051968, 
  -798115965323843/695103897600, -81763620608977/139020779520, 
  -9028937856083/13902077952, 2709850963639/69510389760, 
  93379128832897/139020779520, 28767031/4597248, 0, 5117222429/967680, 
  38207456983/3870720, 171600259/967680, 1145902733/40960, 
  101429703719/2580480, -345555571/60480, -72279899471/1105920, 
  -20635768081/221184, 154971779/645120, 761827/69120, -13112340043/7741440, 
  8640820273/1935360, -320779892471/7741440, 2352212081/3870720, 
  51219521149/516096, -1524509/69120, -542145961/276480, 20499208811/1935360, 
  369101/34560, 13548610979/9289728, 194388305453/29030400, 
  1007484217253/116121600, -1875609797911/46448640, -1644151598473/58060800, 
  439601036803/23224320, -10526724493/46448640, -872973687811/77414400, 
  3266576679563/46448640, -2647662071/368640, -96918783947/46448640, 
  -18514357471/3096576, 13597024099/3870720, 373678979591/46448640, 23/128, 
  -297221/6400, -35152763141/6451200, 76809341/1382400, 749327/19200, 
  35673067079/6451200, 70343/9600, 251/384, 22367645458391/2515968000, 
  13100351313659/1677312000, -20092943/768000, -70102380900973/25159680000, 
  53409223/11520000, 108865889/1105920, -273143039504537/25159680000, 
  -146078034368647/25159680000, -3117491/34560, 2661349/76800, 
  301694171749/232243200, 362880042697/116121600, 210119/38400, 
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