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  -3/4, 3/4, 1/2, 3/4, 0, -27/4, -9/2, 5/2, 21/4, 3/4, -21/4, -3, 1/4, 3, 
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  67/16, 81/16, -3/4, -57/8, -41/16, -3/16, -17/8, -25/16, -15/8, 5/2, -3/2, 
  11/8, 69/16, -9/16, 25/16, 0, -3/4, -6, -51/16, -3/16, -37/16, -119/16, 
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  63/32, 15/16, -107/32, -15/32, 117/64, 83/64, 15/32, -3/8, -15/32, 2, 
  -51/64, -3/8, 21/128, -49/16, -3/128, -553/128, -27/16, -353/128, 23/16, 
  13/32, 301/128, 245/128, 11/16, 3/32, 3/16, 3/128, 287/128, 109/128, 
  87/128, -15/32, -175/128, -195/64, 15/32, -93/128, -31/32, -23/16, 213/128, 
  93/128, 27/32, 85/16, 81/32, 279/32, 63/32, -13/32, -4, -233/32, -63/32, 
  -1, -39/32, -81/32, -265/32, -45/32, -103/16, 27/32, 3/32, 195/64, 19/64, 
  63/32, 21/16, 71/32, -5/4, 141/64, 3/8, -49/16, -27/32, -47/8, -27/32, 
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  293/128, 101/128, 27/32, 59/16, 27/16, 35/16, -67/32, 39/128, -83/128, 
  15/64, 7/64, 127/64, -317/128, -59/32, -27/32, -1/4, 13/8, -15/64, -85/128, 
  -7/4, 135/128, -3/8, 39/64, 0, 0, -3, -1, -1, -1, 0, 3/2, 0, 1, -1, 1, 
  -15/2, -6, 0, 1, -1, -1, 1, -2, -1, -2, 1, 4, -2, 1/4, -1/4, -1, 0, -1/4, 
  1/4, -1, 1/2, 2, 1, 0, -7/2, -1/4, 1/4, 9/4, -3/4, 3/4, -3/4, 0, 0, 9/2, 
  -3/4, 0, -3/4, -5/4, 0, 39/4, -13/8, -99/8, -35/4, 93/8, 51/8, 39/8, -3/2, 
  -23/2, 3/4, 7/8, -67/8, -13/4, 55/8, -17/32, 7/32, 17/32, -75/32, -51/32, 
  75/32, 5/2, -3/8, -3/4, 13/32, 57/32, -3/8, -37/32, -1, -5/4, 5/4, -3/4, 
  -9/4, -3/2, -3/4, 3/2, 7/4, 1/2, -13/4, -19/4, 15/4, 0, -11/4, -23/4, -3/4, 
  3/4, -13/4, -5/4, 3/4, 13/4, 10, -5/4, -7/8, 7/2, -59/4, 3, 21/2, -1/2, 
  1/2, 7/8, 9/8, 5/4, -17/8, 3/2, -3/8, -1/4, -13/4, 27/8, 1/8, -21/8, -3/4, 
  -21/8, -1, -3/4, -5/2, 9/4, 5/4, -3/4, -3/8, 9/4, 5, -3, 27/8, -1/2, 
  241/24, 1, 17/4, 15/8, 29/8, 1/8, 3/2, -45/4, 2/3, 23/2, 29/2, 0, -1, 
  -21/8, -13/8, 35/16, -5/16, 59/16, 25/8, -29/16, -3/2, 5/4, -15/8, 33/8, 
  23/4, 19/16, 3/4, -3/2, -7/8, 97/32, 15/16, 19/16, -9/32, 23/16, 0, -11/8, 
  39/8, 27/8, 89/16, -27/8, -129/32, -15/4, -89/32, -11/16, -9/2, -81/8, 
  61/8, 315/32, 0, 19/64, 5/64, 67/128, -1/16, -73/32, -101/128, -59/128, 
  3/16, 0, -81/128, 89/128, 197/128, -17/64, -27/64, -21/8, -67/128, 189/128, 
  -81/128, 39/64, 23/64, 197/128, -17/64, -183/128, -29/128, -21/8, -73/128, 
  -3/16, -61/128, 39/16, 27/8, 193/128, 5/16, 3/16, 55/32, -305/128, 
  -275/128, -159/128, -7/16, 3, -7/4, -57/16, -3/4, -1, -25/16, -63/16, 49/8, 
  -149/32, 25/16, 149/32, -25/16, 285/32, 285/32, -335/32, -285/32, 87/32, 
  -31/8, -9/4, -307/32, -231/32, 15/8, 261/32, 1/8, -99/32, 403/32, 285/32, 
  -347/32, -285/32, -39/16, 33/16, -3/8, 649/48, -13/12, 193/48, -101/96, 
  -1141/216, 131/27, 109/18, -185/36, -101/96, -12245/864, -167/18, 8161/864, 
  11/384, -3719/864, -1603/216, -30515/3456, 189/32, -1739/216, 1901/288, 
  1177/72, -3589/288, -247/96, 497/48, 21269/1152, 649/288, -73855/3456, 
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  -155/64, -49/4, -3/4, -21/8, 3/16, 37/8, 0, -17/2, -45/32, -111/64, 3/2, 
  189/32, 647/64, 9/8, 7/8, -1/8, -411/64, -163/32, -575/64, 3, 407/64, 
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  1589/192, -1/8, 28/3, -1121/192, -19/12, -55/8, -247/32, 115/64, 199/32, 
  -2021/192, 15/4, 2177/192, 163/96, -59/16, 0, 3/8, -1/8, 0, -27/16, 1/4, 2, 
  11/16, -5/16, 0, -15/16, 0, -15/16, 0, 33/16, 15/16, -97/192, -33/16, 
  -143/192, 15/16, -59/16, -3, 4, 0, -41/32, 69/16, -7/16, 313/32, 27/32, 
  39/8, -27/32, -27/16, -53/32, -41/32, 41/16, -19/16, 33/32, 0, 31/32, 
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  -13/8, -11/64, 3/8, -21/64, -7/16, -37/64, 3/8, 27/32, 125/128, 21/64, 
  -121/128, 37/128, 259/256, 19/128, 25/256, -309/128, -261/128, -29/128, 
  5/128, -115/128, 431/256, 51/64, -29/256, 7/64, -133/128, -49/16, -1/128, 
  -683/128, -27/32, -577/128, 295/128, 15/16, 57/128, 231/128, 577/128, 
  19/16, 83/32, -7/64, 37/32, -7/32, 723/128, 1125/128, 241/128, 453/128, 
  -281/64, -83/32, -63/128, -15/128, -11/576, 22651/10368, 11/384, 
  33259/10368, 125585/10368, -14963/3456, 89495/10368, -187/27, -311/108, 
  -1357/216, 3143/576, 31159/10368, 72985/10368, 2017/288, -8935/864, 
  6125/10368, 6037/384, 240643/10368, 2633/10368, -137431/5184, -7229/864, 
  -15601/5184, -285125/10368, 169261/10368, 39029/5184, 75/64, 7/16, -11/4, 
  -217/128, -253/32, -473/128, -49/16, 0, -75/64, 43/16, 197/128, -1/8, 3/32, 
  -15/32, 167/64, 257/64, -5/128, -287/128, 87/128, 105/64, -323/64, -171/64, 
  15/32, 63/128, 15/4, -23/16, 213/128, 93/128, 37/64, 143/128, 49/16, 
  -53/24, -227/64, -75/128, 197/48, 59/16, 41/48, -53/32, -19/16, 709/192, 
  499/128, -281/96, -15/16, -41/16, -109/64, -125/64, -13/128, -355/192, 
  -295/96, -25/48, 51/32, -179/128, 3/8, 7/4, 19/128, 17/32, -83/384, 
  145/128, -19/128, -5/16, -27/32, -49/16, -49/32, -135/32, 23/32, 785/576, 
  5/16, -5/16, 307/144, -23/32, 27/16, 49/72, 5/16, 125/96, 65/16, 35/32, 
  259/96, -27/32, -5/24, -3/8, 5/4, -3/8, 0, 9, 1/2, 5/2, -5/4, -9/2, -3/2, 
  3/2, 0, 1, 3/2, 0, 3, 7/2, -3, 0, -1/4, 3/4, -3/2, 0, 3/4, 13/4, -1, 0, 
  3/2, -1/2, 4, 13/2, -13/2, -1/2, -1, -1/2, 2, 2, 13, 0, 1/8, 11/8, -33/8, 
  9/8, -7/4, -75/16, 53/8, 167/16, 5/4, -7/2, -15/8, 33/16, 33/16, -15/16, 
  31/8, -75/16, 115/16, -5/8, 5/8, 15/8, 0, -11/4, -19/16, 41/8, 1/2, -51/16, 
  -13/4, -21/16, -1, -19/96, 1057/96, -21/8, -9/8, 7/24, -7/96, 11/8, 57/16, 
  123/16, -219/16, -101/32, 7/16, -33/2, -73/64, -223/64, 29/128, 7/16, 
  -1109/64, -127/64, -223/64, 137/128, -297/64, -3/16, 2211/128, 219/32, 
  -1929/128, 59/32, 449/48, 75/32, -59/64, -43/128, 373/96, -65/16, -59/128, 
  -59/64, -279/128, 741/64, -65/16, 113/128, -59/16, -453/64, -5/24, 
  -3529/192, 153/64, 9/4, 1/12, -5/8, -27/8, -17/96, 1/2, -33/2, 57/4, 85/4, 
  -17/6, -37/2, -53/4, -211/8, -547/12, 11, 213/4, 9/8, -19/8, -15/8, 23/8, 
  7, -17/3, 13/4, 2, 3/2, 1, 0, 5/4, 5/2, -2847/16, -14107/24, 1205/16, 
  -1649/128, 3719/32, 8741/24, -429/32, 39857/576, -31/2, -101/8, 5/2, 17/4, 
  -6587/192, -67/24, 937/64, 0, -1361/64, 0, 3427/192, 55/64, 191/128, 
  -99/32, -161/64, 113/64, -229/384, 217/64, 1321/384, 3/8, -49/12, 1527/256, 
  -137/8, 5249/384, 5647/256, -3/8, -13/2, 295/48, -3/8, 61/12, -1199/128, 
  -3131/128, -265/48, 1447/256, -181/48, 1835/144, 31/18, -677/24, 
  -11341/288, 683/48, -385/16, -3947/144, 2045/96, 455/48, 423/256, 571/64, 
  183/16, -81/16, -195/64, 1865/256, -129/32, -373/32, 1/2, -3/8, -9/2, 
  203/64, 183/128, -17/8, -1431/256, 3/2, -187/64, -5/8, 221/64, 143/64, 
  -117/64, -183/64, 685/128, -131/48, -357/256, 179/64, -7/8, 155/192, 
  -587/128, 27/16, 0, -10/3, 7/12, -9/8, 4, 3/8, 35/8, -13/4, -17/8, 13/8, 
  1/8, -803/256, 783/128, -8383/768, -1669/128, 473/64, -59/64, -25/64, 
  377/32, 5685/256, -37/64, -2347/256, 215/384, 3805/1152, -835/192, 239/24, 
  105/32, 79/128, -951/128, -133/128, -2315/256, 39/32, -65/128, 401/128, 
  -11/16, 2847/256, 319/256, 51/16, 205/256, 5/16, 5/256, -145/48, -773/192, 
  755/192, -637/64, -347/96, -49/64, -57/64, -205/192, 155/64, -67/256, -3/8, 
  -13/96, 7/32, 7/32, -21/64, 391/384, 77/18, -511/24, -87647/1728, 175/18, 
  1823/192, -25/3, 34295/1728, -85/48, 929/192, 5183/216, -11419/1728, 
  -75083/1728, 15355/1728, 33/32, -93/64, -347/32, -995/128, -191/32, 
  -249/32, 275/32, 149/32, -25/16, -45/128, 149/32, 285/32, -335/32, -285/32, 
  21/64, -447/128, 545/192, 1357/192, 41/48, -21/64, 1469/128, -1213/192, 
  -511/64, -21/64, 95/8, -953/192, -2095/128, -1073/128, 0, 1031/192, 
  483/128, 3/8, -79/128, 0, 11/96, -715/384, 199/128, -175/192, -995/192, 
  -281/32, 867/128, 3695/384, 665/128, -1019/768, 195161/1728, 992/27, 
  565877/1728, -162415/3456, -197693/864, -45985/1152, -10265/54, 
  -1727867/3456, 20801/288, 85177/6912, 209879/1728, 48709/96, -118129/3456, 
  -39023/432, 349/384, 7339/1728, -44/27, 30515/3456, 25373/1728, 2911/432, 
  -1991/288, -6499/864, -32129/1728, 365/36, -81/32, -433/96, -95/48, 35/96, 
  35/96, 43/16, 205/96, -35/96, -5/32, 15/32, -39/32, 5339/384, -87/32, 
  -5149/384, -9/8, 715/384, -12623/1152, 8095/1152, -23/192, 3103/192, 
  875/64, -67/8, 343/96, 231/16, -3, 9/2, 3, -15/2, -1/4, 9/8, -1051/16, 3/8, 
  10, 1785/32, 22727/384, -177/64, -451/16, -5, 11/4, -1/2, 0, 1661/256, 
  -869/128, -249/256, 3317/768, -389/16, -45/4, -63/8, 9/2, -131/24, 4, 
  -25/4, 527561/2304, 108533/384, -408761/2304, -49387/576, -95/16, -13/2, 
  -57/8, 117/8, -9583/256, 12943/768, 61/48, -577/128, 863/384, 62491/1152, 
  -1811/32, -83/32, 43/128, -169/128, -1669/128, -1417/256, -257/128, 
  215/256, 481/128, 367/256, 39/32, -113/64, 817/96, -21/32, -16883/768, 
  30209/288, 20243/48, 46589/384, -62371/384, -141/32, -4145/384, -2453/384, 
  141/32, 3211/128, 6097/384, -12685/384, 2041/384, 8669/384, -307135/1152, 
  -553/2, 243703/1152, 229987/1152, -109/48, 87385/1152, -148691/1152, 
  -6201/128, -375/128, 9/8, 47/48, 11/8, 14537/256, -23599/256, 3177/256, 
  709/64, 21809/64, 40885/384, 16625/256, -3/4, -3/4, 0, 0, -3/4, 0, 3/4, 
  3/4, 0, 3/4, 3/4, -3/4, 0, 0, 0, -3/4, -11/16, 0, 1/4, -23/16, 37/16, -5/8, 
  11/16, -11/16, 3/8, 1/4, 0, 0, 0, -37/16, 0, 0, -37/16, 3/4, 11/16, 1/4, 
  13/16, -21/16, 0, 7/4, 0, 13/16, -17/16, -11/16, 3/8, -7/16, 0, 39/16, 1/8, 
  -17/8, -13/16, -11/16, 65/16, 4, 7/16, -15/4, 3/8, -27/16, 13/16, -1, 1/4, 
  -11/16, 25/16, -9/16, -1, 3/8, -1/16, 1/8, 0, -15/8, 9/16, 9/16, 27/16, 
  21/16, -37/16, -5/8, 1/16, 5/16, -9/16, 31/16, -67/32, -1/8, 11/16, 17/8, 
  25/16, 31/16, -5/8, 3/8, 3/4, 5/16, -19/16, 17/16, -17/16, -69/32, -11/8, 
  -3/4, 37/16, 41/16, 0, -3/4, 37/16, -9/16, 17/16, -95/32, -2, -71/32, 
  -9/32, 55/32, -9/16, -5/4, 1/2, 25/16, 7/4, -25/16, -3/16, -11/16, 7/16, 
  -81/16, -45/8, 5/8, 15/4, 5/16, 1/16, -71/32, 47/16, 157/32, 3/4, -51/32, 
  -5/16, -25/8, 7/16, 3/2, 0, 5/8, 49/8, 41/16, 1/16, -47/32, 11/8, -123/32, 
  -39/16, 79/32, 9/16, 3/16, 1/4, -3/16, 11/32, 1/16, -3/64, 11/16, 1/2, 
  87/32, -3/4, -105/32, 11/16, 17/16, 179/32, 21/32, 7/8, -3/16, -9/32, 
  -117/64, -27/16, 197/64, 81/64, 119/64, 3/32, -81/64, 7/16, -5/64, -51/32, 
  -5/8, 7/16, -35/256, 11/16, -179/256, -933/256, 87/32, -269/256, 9/16, 
  17/16, 1973/256, 693/256, 7/8, -3/16, 9/32, 425/256, -145/256, 921/256, 
  -399/256, 81/64, 147/256, -39/16, -81/64, 75/256, -61/32, -1/8, -37/256, 
  83/256, -51/64, -17/16, -225/64, -313/64, -107/64, -1/8, -1/8, 323/64, 
  107/64, 21/16, 17/16, 127/64, 333/64, 133/64, 83/16, -105/64, 3/32, -77/64, 
  -95/32, -165/64, -3/4, -209/64, 23/32, 91/64, -7/16, 11/16, 69/64, 9/16, 
  69/64, -113/64, -105/64, -19/256, 11/16, 29/256, 387/256, 583/256, 105/64, 
  3/4, 429/256, 285/256, -23/64, -31/32, -23/16, 9/16, 151/64, 331/256, 
  413/256, 37/128, 9/128, -295/128, -477/256, -83/64, 23/64, -5/32, -37/32, 
  -37/128, -369/256, 19/32, 47/256, 7/16, 9/128, 0, 0, 9/4, 1/2, 1/4, 3/4, 
  3/4, 3/4, 0, -9/8, -1/8, 1, 0, -3/4, 3/4, -1/4, 3/2, -1, 1/4, 37/4, 13/2, 
  0, -3/4, 3/4, 3/4, -3/4, 3/2, 3/4, 3/2, -3/4, -317/48, 173/48, 3/2, -7/4, 
  1/2, -7/8, 3/8, 7/8, 2, 1, 1, -1, 0, -5/4, 3/4, 5/4, -3/4, 5/2, -27/8, 
  -3/4, 1, 47/8, 1/16, -1/16, -37/16, 11/16, -11/16, 11/16, 0, 0, -39/8, 
  19/16, 1/8, 0, 0, 11/16, 73/16, -25/4, -181/16, 18, 333/16, 63/32, -211/8, 
  -191/32, -175/16, -159/32, -125/16, 181/32, -49/32, -267/32, -289/32, 
  -225/32, -1917/128, 239/128, 1917/128, 341/128, 277/128, -341/128, -19/8, 
  -265/32, 11/16, 709/128, -591/128, -265/32, -621/128, 3/4, 77/16, -33/16, 
  11/16, 65/16, 15/8, 15/16, -11/8, -23/16, -17/8, 53/16, 71/16, -75/16, 0, 
  15/16, 79/16, 11/16, -11/16, 149/16, 45/16, -59/16, -181/16, 1399/288, 
  -557/48, 6101/576, 427/72, 389/72, -4099/1728, -2141/96, -239/1152, 
  2243/144, 3553/96, -43/8, 4727/288, -1777/1152, 7411/3456, -15/64, -1/4, 
  -65/128, -9/8, -103/128, -5/4, 7/8, -7/8, 1, -83/48, 0, -1/8, -247/192, 
  -683/384, 1/2, 683/384, 41/64, 177/64, 1/4, 15/16, -19/16, 11/4, -33/8, 
  5/4, 5/4, -3/4, -3/8, 1/4, -33/8, -27/4, 7, -73/16, 11/8, -109/9, -67/16, 
  -27/4, -29/16, 99/16, -23/16, -13/16, 415/24, 211/72, -881/48, -263/12, 0, 
  7/16, 0, 53/8, 17/16, -113/16, 0, 4, 49/4, 33/4, -37/8, -141/32, -227/32, 
  -25/32, -37/32, 3/16, -73/16, 109/16, -119/16, -263/16, -17/8, -11/16, 
  41/4, 3/16, -159/16, 13/8, -13/8, 33/16, 139/32, -37/16, 0, -111/16, 
  -527/32, -21/8, -83/32, 21/8, 75/16, 135/16, 4, -11/8, 551/32, 291/32, 
  -673/32, 33/32, 391/32, 649/128, 423/128, -117/256, 1/16, 341/128, 
  -1795/256, 101/256, 1/8, 3/64, -1739/256, 1291/256, 1211/256, -239/32, 
  67/32, 623/128, 129/256, -441/256, -1739/256, -1791/128, -573/128, 
  1211/256, -239/32, 2295/256, 3767/256, 623/128, -1725/256, 809/128, 
  -197/256, -1097/128, -15/4, -727/256, 11/16, -809/128, -83/128, 2541/256, 
  -1003/256, 363/256, 7/8, -15/4, 55/16, 37/8, 11/16, 3/2, -35/32, 129/32, 
  -225/32, 61/64, 35/32, -53/64, -35/32, -501/64, -501/64, 431/64, 501/64, 
  -153/64, 27/4, 37/16, 477/64, 509/64, 103/32, -237/64, -93/32, 3/64, 
  -923/64, -501/64, 187/64, 501/64, 29/8, -43/16, 1435/288, -2185/144, 
  4259/864, 39727/6912, 3463/1728, 16073/1296, -119519/5184, -83201/2592, 
  176165/10368, 3463/1728, 550525/20736, 14045/1296, -25019/20736, -4051/576, 
  -16199/5184, -1331/2592, 325745/10368, -4393/288, 84779/10368, 7543/324, 
  19747/10368, 524089/20736, 1111/864, 22433/3456, -775/96, -136301/10368, 
  208277/20736, -881/192, 157/96, 19/16, -1057/192, -297/64, -1, 835/384, 
  11/16, 581/1024, 1/8, -565/1024, -1153/384, -1109/128, -13/32, 27/16, 
  -1/16, 1101/128, 1/8, -1947/256, -15/8, -241/192, 769/384, 61/32, 4117/384, 
  3/32, 21/16, 115/192, -1465/384, -1/4, -1685/192, -7057/768, 3697/1024, 
  1093/384, -5633/1024, -91/9, 1213/144, 1/16, -1181/144, -5/2, 883/72, 
  29/16, 91/8, -9/32, 3/4, 1/8, -1895/144, -539/288, 1145/72, -1/8, 647/288, 
  -57/16, -3773/288, 5/8, -47/16, 439/72, -1/2, 161/18, -347/144, -955/144, 
  197/48, 103/96, -299/24, -535/96, 17/288, -25/3, 3073/288, 1921/72, 421/48, 
  5/48, -1/48, 0, 17/24, -9/16, -7/8, -13/16, 41/48, 0, 25/48, 0, 25/48, 
  425/48, -31/48, -25/48, -293/48, 31/48, 17/16, -25/48, -77/6, 77/48, 29/8, 
  1/16, 249/64, -21/4, 0, 39/32, -1115/64, -105/64, -81/8, 105/64, 31/8, 
  25/16, 791/64, 373/64, -13/16, -9/4, -1/16, -485/64, 4, -117/64, 665/64, 
  -151/64, -135/128, 137/16, 613/128, 33/16, 59/16, 87/64, 37/32, -1027/128, 
  -7/16, 35/128, -21/32, 129/128, 19/64, -105/64, -425/256, -105/16, 
  -1541/256, -897/128, -269/512, -5/2, 2111/512, 511/128, 353/32, 779/128, 
  431/64, 87/256, -1299/512, -2161/256, 95/512, -21/128, 205/256, 11/16, 
  45/256, 499/256, 105/64, 1009/256, -549/256, 5/8, 253/256, 441/256, 
  -1009/256, 13/16, -131/64, 21/128, -35/64, 5/64, -1179/256, -2069/256, 
  -539/256, -621/256, 537/128, 131/64, 47/256, -65/256, 16237/3456, 
  -262991/62208, -5/8, -4051/576, -1305635/62208, -190801/62208, 
  254465/10368, 1370213/62208, 84455/10368, 84557/7776, 17207/1296, 
  -106597/10368, -346213/20736, -1637983/31104, -157957/5184, 954941/31104, 
  390965/62208, -12053/768, -161573/3888, -49349/62208, 476827/7776, 
  56495/15552, -83365/7776, 334691/7776, -18931/1728, -130417/31104, 133/128, 
  217/96, 19/64, -873/256, -539/192, -9/16, 119/256, -257/64, -195/64, 
  -149/128, 1343/192, 689/256, 5/2, -3/16, -37/64, 325/192, 1121/512, 
  195/256, 151/512, -399/256, 209/128, -681/128, -155/64, -81/64, 111/256, 
  403/512, -1/8, -37/256, 83/256, 1/16, 189/256, -11/16, -73/36, -427/48, 
  -549/256, -749/288, 1103/96, 2449/288, -133/128, -31/16, 2287/576, 
  5041/768, -239/288, 1/2, -1265/384, 29/16, -13/8, 193/256, 4363/288, 
  8693/1152, -18977/1152, 425/128, 1167/256, -403/32, -171/32, 523/256, 
  -89/32, 11387/2304, -105/256, 427/256, 5/288, 1187/576, 11/16, 1765/576, 
  685/576, -1127/576, 263/1152, 15/16, 5/288, 971/1152, 1127/576, 11/16, 
  1439/1152, -5/288, -2881/576, -49/32, -1715/576, -235/576, 105/64, 841/288, 
  37/96, -23/32, 7/16, 77/3, 0, 0, 2, -9/8, 5/4, -3/8, -11/4, -17/4, -17/8, 
  5/2, 25/8, 5/48, -23/3, 71/8, 0, -3/4, -1/4, 7/8, 1/8, 0, 9/8, -2, 0, -3/8, 
  3/4, -5/2, -1, -3/4, 0, -3/4, -39/8, -263/48, -407/48, -425/48, -11/4, 0, 
  1/4, 7/2, -7/4, -2, 11/8, 11/8, 0, -1/2, 1/4, -19/4, 89/24, -7/6, 197/24, 
  -7/8, 1, 1/4, -3/2, -2, -203/8, -55/8, 97/8, 0, -251/8, 1579/192, 
  -2153/384, 4, -53/16, 65/16, -1/2, 53/32, 1099/64, -369/64, -413/32, 
  -54599/1152, 28411/384, 29321/288, -307/32, 179/32, 413/128, 1/4, 33/32, 
  33/32, 1033/96, -1367/96, 115/64, 3799/192, 9/2, -27/8, -11/32, -283/32, 
  5/2, 69/16, 547/64, -377/16, -321/64, -443/48, -11/16, -379/64, 1317/64, 
  -527/32, -2083/64, 5/4, 78107/1152, -45169/1152, 5/2, -189271/3456, 
  -289/36, 1219/1152, 8185/576, 3709/576, -12895/192, 2471/32, 521/16, 
  1339/128, 41749/384, -11667/1024, 1365/128, 15515/1024, 1339/128, 
  32639/384, 4829/1024, 1365/128, 2395/1024, 2117/192, 5/96, -89719/1536, 
  -2425/64, 64471/1536, 31/64, -17197/576, -85/32, -31/128, 1/2, 3781/288, 
  -173/128, 31/64, -31/128, 689/32, 215/48, -173/128, -1007/64, -31/32, 
  -5561/384, 205/72, 38249/576, 8153/384, -9/8, -29/144, -1/32, 81/16, 
  -1571/1152, -19/32, -145/8, 433/96, -4301/48, -1169/72, 2015/72, 
  73409/1728, 267/16, 3953/72, -1147/64, -7727/144, -13/8, 151/32, 15/8, 
  -343/32, -19/2, 875/72, -101/16, -4, 5/4, -33/8, 3/4, 0, 7/16, -5/8, 
  -127717/96, 580547/576, 393119/576, -51161/128, 131039/192, -767599/1152, 
  -227951/576, -132325/768, -557/24, 157/64, 1435/48, 3745/192, 11543/576, 
  649/72, -25/96, 0, 3805/192, 0, -5623/576, -7919/192, -8935/768, 823/48, 
  3499/192, 1981/288, -37339/2304, -835/144, -3553/768, 1/8, 12061/1152, 
  -11689/1024, 4029/128, 8195/4608, -5073/1024, 5/48, 193/32, -2935/288, 
  3/16, -11521/1152, 10073/512, 13157/512, 8669/576, -11433/1024, 65/36, 
  -9319/288, -2869/144, 20717/576, 391201/6912, -45085/1728, 574147/6912, 
  1242907/6912, -44449/288, -281473/3456, -4321/1024, -683/24, 793/96, 
  -1029/512, 875/24, -2709/1024, 141/16, 3533/192, 61/96, -29/16, 
  -18577/1536, -9153/512, 1213/128, 763/192, -8131/1024, 7/8, 471/128, 39/16, 
  3541/384, -661/128, -9925/384, 95/32, -2697/256, -1225/288, -1089/1024, 
  461/128, 13/8, 9253/1152, 139/256, -47/32, 0, 1337/96, -353/144, 37/48, 
  -1423/96, -11/24, -2939/192, 107/288, 19/4, 5/96, -2929/768, 1141/512, 
  -1087/128, 46573/4608, 647/64, -605/256, 6181/768, -2807/768, -1255/128, 
  -9313/512, 1691/768, 4137/512, -34921/2304, -51671/6912, -2689/3456, 
  -40001/432, -163111/4608, 21923/768, 5507/96, 735/128, 44329/1536, 
  -1525/256, -4481/256, 1083/128, 1195/256, -52799/1536, 5181/512, -5543/256, 
  -3745/512, -2535/256, 583/512, -1571/1152, 16811/1152, 1213/288, 5841/256, 
  19207/1152, 3869/256, -429/256, 3871/1152, -4333/256, 949/512, 65/24, 
  -543/128, 1/96, -5/192, 27/128, 197965/2304, -9043/432, -198061/2304, 
  -560317/20736, -57995/1728, -23581/1152, -14195/216, 839167/20736, 
  18667/1728, -17597/2304, 2011787/20736, 1301173/20736, 76823/5184, 
  -643435/20736, 3/8, -13/16, 4/3, 1223/256, 157/64, 393/64, 157/96, -53/64, 
  -35/32, -195/256, -4867/512, -501/64, 431/64, 501/64, -109/384, 407/256, 
  -565/1152, 295/192, 2449/288, -17/128, -1829/256, -175/192, 711/128, 
  109/384, -117/16, -1391/576, 8341/768, 1465/256, 7963/1152, -3719/768, 
  -5/24, 33241/2304, 0, -125/32, 2701/768, -34753/2304, -355/384, -7927/1152, 
  1637/96, -1319/768, -12479/2304, -10729/768, -142003/2304, 597421/1296, 
  -110035/2592, -21619781/20736, -2861473/5184, 469363/1296, -2967475/10368, 
  -6752779/5184, 12344431/10368, 3669121/5184, 6752303/41472, 57361/81, 
  -22011269/20736, -434119/864, 5212715/41472, 7535/1152, 4129/2592, 
  -3616/81, -226465/5184, -128749/2592, -119867/10368, 18245/5184, 
  304807/5184, 1402111/20736, -154765/5184, 205/128, 919/384, 17/12, 241/384, 
  481/384, -43/384, 7/96, -481/384, -143/96, 5/8, -5/8, -5/8, 5/8, 95/96, 
  9491/1152, 1441/1152, 5/3, 14053/2304, 33/32, -937/192, -197/192, -29/2304, 
  69/64, -10751/1152, -1455/64, -17795/3072, -9515/2304, 35027/3072, 7/4, 
  -17/4, -11/2, 15, 77/16, 117407/384, -4433/64, -37/32, -249/32, 351647/192, 
  -2880547/2304, -3/16, 479/128, -837/64, 1, -1001/96, -3/16, 1/16, 
  12833/3072, 1451/64, 56015/3072, -127579/1152, 30767/384, 635/32, 257/24, 
  45/32, -217/24, -6523/144, -1/2, 215/24, 8520113/27648, -614035/3072, 
  5226463/27648, 6426349/27648, 7/24, 113/48, 339/128, -73/64, 16631/1024, 
  -176017/9216, -16333/2304, -60005/768, 84953/1152, 376061/1728, 
  588229/1152, 68815/1536, -7775/256, 26439/1024, 39389/768, 8747/3072, 
  4391/768, -363/256, -429/256, -717/256, -71/64, 1925/384, -53951/1152, 
  -99/16, -1050505/1152, 79559/864, -2904679/6912, 1508359/1152, 
  -1376027/3456, 4013/64, -11387/2304, -154415/2304, -3973/64, 5/8, 
  -4535/384, -109145/2304, 332263/4608, -6023/1152, -125069/4608, 
  -5993945/6912, 523351/1152, 3337583/6912, 845353/6912, 303299/2304, 
  74185/576, 1074751/3456, -482783/3456, 5/8, -5/8, 4051/192, -57/32, 
  -1099/288, -5/32, -71249/256, -465349/768, -19789/1024, -62, 2857451/2304, 
  14743/768, -65673/256, 1/8, 1/8, 0, 0, 1/8, 0, -1/8, -1/8, 0, -1/8, -1/8, 
  1/8, 0, 0, 0, 1/8, 1/8, -1/16, 1/16, 1/16, -5/8, 0, 95/64, -31/64, 3/64, 
  -1/16, 0, 1/4, 1, 13/32, -7/16, -3/16, 1/8, 17/16, 13/64, -107/64, -11/16, 
  11/64, 19/64, -5/16, -11/64, 1/64, 0, 7/32, 0, -13/32, 5/32, 9/32, 3/32, 
  -1/16, -15/8, 39/16, -103/64, -111/64, -5/2, 7/8, 9/32, 5/32, 1/16, -5/2, 
  0, 107/64, 7/16, -41/16, -91/64, 135/64, 95/64, -1/16, -139/64, -75/64, 0, 
  59/64, 0, -143/64, -43/64, 11/64, 15/32, -67/64, -11/64, -95/64, 91/32, 
  69/64, -73/64, -1/32, -15/16, 169/64, -3/64, -11/8, -37/64, 79/64, 291/64, 
  21/16, -101/64, -299/64, -119/64, -1/16, 1/8, 11/16, 1/8, 7/16, -1/16, 
  1/16, -21/8, 187/128, -15/32, 15/32, 17/32, 1/16, -133/64, 169/64, -27/64, 
  -107/128, 171/64, 59/64, 13/64, -119/32, -97/64, -5/64, 0, -383/128, 
  -31/64, 93/64, 25/128, 13/64, 117/64, -49/64, -27/8, 257/64, 3/16, -11/8, 
  9/16, -1/8, -5/64, -149/128, -65/16, -11/8, 111/64, 21/64, 117/64, -15/16, 
  -11/32, -43/32, 3/16, -101/64, -89/32, -1/8, -69/32, -319/128, 145/64, 
  59/32, 49/64, -13/64, 51/32, 9/32, 41/32, 31/64, -19/32, 21/64, -9/32, 
  -115/64, -1/4, -5/4, -353/128, 91/64, 47/64, 55/64, 9/32, -15/32, 3/4, 
  19/16, 15/32, 1/8, -133/64, -123/64, -61/32, -27/64, 145/64, -13/64, 17/16, 
  -183/32, 55/32, 63/64, -9/8, 5/32, 49/64, -19/64, -1/64, -27/32, 259/128, 
  -51/32, 3/64, 109/64, -13/64, 65/64, -1, 21/16, -1, 19/32, 5/32, -147/64, 
  3/16, -1/64, -59/64, 43/128, 87/32, -9/64, -85/64, 13/8, -23/16, -3/16, 
  -429/128, -3/64, 133/64, -11/8, 21/16, -51/16, 25/8, 29/8, 95/64, -3/64, 
  -155/32, -99/32, -129/64, -63/32, 17/64, 99/64, -241/64, -557/64, 137/64, 
  85/128, -577/128, -257/64, -1/8, 187/64, 847/128, 269/128, -203/128, 
  -57/32, 3/16, 139/32, -51/16, 11/4, 63/64, -3/64, -175/32, -97/32, -129/64, 
  -63/32, -11/8, 21/32, 81/64, 61/64, 29/16, 137/64, 695/128, 101/128, 
  -257/64, 5/4, -15/64, -441/128, -417/128, 203/128, -15/16, -187/64, 9/4, 
  1/32, -119/64, -11/32, 79/32, -13/64, 7/16, 157/64, 37/64, 1/4, 49/64, 
  225/128, -29/16, 173/64, 29/16, 7/64, 635/128, -497/128, -399/64, 3/64, 
  -35/64, -441/128, -521/128, 203/128, 13/64, -11/8, -75/64, 67/64, -11/8, 
  271/64, 29/16, 3/16, 65/64, 3/16, -149/64, -165/32, -29/16, -157/64, 
  -73/32, 11/64, -5/64, 59/32, 3/2, -691/128, -673/128, 49/64, -37/128, 
  -9/64, 411/64, 673/128, 171/64, 73/64, -1/8, 143/128, 161/32, 9/64, -39/32, 
  -161/32, -21/16, -203/128, 203/128, 0, 0, -3/8, 1/8, 0, 0, -95/48, -1/4, 
  -1/8, -1/8, -1/8, -1/8, 0, 445/72, -253/288, -505/192, 301/36, -73/6, -1, 
  2327/576, 1229/288, 1229/288, 847/144, -2777/576, -2561/576, 7/16, -5/16, 
  -3/8, 7/16, -3/16, -9/16, -1/4, -5/4, -9/16, -7/8, -7/16, -7/8, -3/8, 
  -33/16, -25/16, 5/16, 5/8, -5/16, -5/8, 23/16, 5/8, -5/8, -21/16, -5/4, 
  1/16, -5/4, -25/16, -25/16, -23/16, 0, 0, 0, 47/36, 95/48, 0, 0, 0, -3/8, 
  1/8, -1/2, 1/4, -1/8, -11/4, -7/4, 0, 1/8, -1/8, -1/8, 1/8, -1/4, -1/8, 
  -1/4, 1/8, 347/32, -907/96, -2063/288, -2573/288, -1681/192, 1435/64, 
  559/72, -215/64, -943/576, -1165/192, 1/8, 21/16, -17/16, 7/8, -7/8, 
  -31/16, -1, -19/16, -11/8, -35/16, -5/16, -5/16, -3/4, -5/4, -1/16, -5/16, 
  1/8, 15/16, -29/16, -31/8, -97/144, 47/36, 0, 7/72, 0, 0, 451/144, -95/48, 
  -83/72, -1/8, 81/128, -269/64, 11/16, 7/16, 153/64, -1/8, 1/8, -1/8, 1/16, 
  0, 0, -3/2, 1339/144, -183/64, -187/9, -1367/192, -87/64, 7/16, -95/256, 
  -39/128, -41/64, 71/128, 67205/768, -8395/384, 7/16, -22291/256, 2363/128, 
  61/64, -181/64, -73/64, 125/64, 0, 45/32, 1/16, 1279/288, 0, 0, 0, 3/16, 
  -3/16, -3/8, 1/4, 1/4, 3/16, 1/16, -45/16, 27/8, 27/8, -979/128, 841/128, 
  841/128, 3/32, -81/64, 191/16, -223/128, 11/16, 3/64, -521/128, -605/128, 
  -223/128, 317/128, -13/64, -759/128, 5/8, -81/32, 687/128, 85/32, -35/16, 
  -27/16, -301/128, 47/4, 259/128, 19/128, -281/32, -357/128, 563/64, 
  1407/128, -43/16, -847/128, 1143/256, 601/256, -1143/256, 11/16, -25/4, 
  1/16, -11/16, 31/256, -805/256, 1/16, 145/256, -181/64, 9/32, 55/64, 1/16, 
  -181/32, -269/64, 11/16, -181/64, -89/16, 153/64, 53/8, 1/16, -181/64, 
  -1701/256, -597/256, 53/8, 293/256, -1/8, -9/4, 5/8, -5/8, 1, -35/8, 
  -23/64, 45/16, -3/8, -1/4, 3/64, 17/16, -31/8, -19/16, 3/8, -3/32, 3/2, 
  -1/4, -23/16, 1/8, -47/32, 33/16, 1/16, 1/2, 33/16, 81/64, -25/16, -39/8, 
  -9/8, 119/64, -41/16, 1/8, -23/16, 29/8, -14249/192, 46907/144, 6031/2304, 
  -307145/6912, 4787/576, 61457935/248832, -3661/256, -2443433/31104, 
  -781/288, 13133341/62208, 24316871/165888, -73067/2304, 16729393/124416, 
  -8557/1152, -1655779/124416, -3482339/62208, 4147/256, 1435307/6912, 
  -15385/192, -420919/1728, -2054399/82944, 29059/2304, -71623/1296, 
  -28411/288, 3581665/20736, 1493873/497664, 60923/2304, -2002625/41472, 
  -92807/1152, 295475/41472, -10/3, 3199109/31104, -3200279/31104, 
  -27235319/497664, 5923/576, -14888425/124416, 2567/288, 16670209/124416, 
  -114609893/497664, 24949/1152, -44167/13824, 1019/72, -2282869/13824, 
  -469/384, -33955/384, 103/128, 4055/192, -7/16, 17/256, 1/2, -7/16, 
  -39/128, -45/64, 63/128, 5/8, 641/192, 67205/768, -7/2, -8443/384, 65/16, 
  -33853/384, -51/16, 4043/192, 169/128, 9/64, -33361/384, -161/128, 2077/96, 
  121/64, 435/128, -33487/384, -497/128, 3845/192, 185/32, -39/128, 49/96, 
  -475/256, 71/128, -1/4, 695/128, 22819/256, -4175/768, -9379/384, 1711/384, 
  5, 65705/768, -249/64, -1157/48, 237/64, -3/4, 22427/256, 11/16, -2371/128, 
  -1/64, -61/64, 1/16, -7/16, 61/64, -7/64, -11/16, -89/64, -7/16, 427/96, 
  -22855/256, -11/3, 5833/384, -22559/256, -79/64, 37/64, -1, -18057/256, 
  -11/72, 45/64, -2425/128, -125/48, 22207/256, 47/48, -21067/1152, 11/64, 
  -181/64, -43/32, 947/288, 125/64, 71/16, -445/96, 23511/256, 311/192, 
  173/24, 1/4, -1259/192, 47419/768, 149/144, 439/32, 11341/384, 0, 
  -26191/4608, -5/32, 49/48, 0, 7171/128, -486433/13824, 0, 0, 0, -95/96, 
  -341/192, -383/96, -283/192, -299/288, -10867/2304, -121/144, -27341/512, 
  537283/13824, 0, 0, 4257/256, 2391/512, -445/288, -21295/4608, 0, -331/64, 
  -27/32, 86833/4608, 1427/192, 0, 1285/576, 0, 353701/4608, -502921/13824, 
  -43/16, 753/128, 1097/128, -207/64, 2051/128, 349/64, -1205/128, -1795/128, 
  17/16, 11/16, -1045/128, -1157/128, -3/32, 1/8, -1559/128, -187/128, 
  2019/128, 197/128, 119/64, -4633/128, -53/8, 103/128, 13/64, -211/128, 
  2403/128, -55/32, 639/64, 97/64, -43/64, 5169/128, 4189/128, -123/128, 
  157/128, -239/128, -655/64, -1557/64, -1787/128, -131/128, -35/32, 11/16, 
  -117/256, 419/256, -111/16, 271/64, 137/64, 383/256, -765/128, 139/128, 
  -1281/256, -83/128, 947/256, 61/64, 9/64, 13/32, 161/256, 745/128, 187/128, 
  383/256, -1425/256, 139/128, -1119/256, 367/256, 947/256, 61/64, 9/64, 
  -887/256, -179/64, 745/128, 315/64, -123/256, 81/128, 13/64, 869/256, 
  -41/64, 167/64, -227/64, 123/256, -97/32, -629/256, 779/128, 307/128, 
  15/16, -1/8, -15/4, -15/16, -1/4, -13/16, 3/32, -53/128, 187/128, 99/64, 
  13/4, -3/32, -89/32, 3/32, -133/64, 23/128, 317/128, 95/128, -65/64, 
  -13/64, -37/16, -157/16, 69/64, -1/2, 1/32, 117/32, 19/32, 3/32, 81/32, 
  1147/128, 317/128, 143/128, -65/64, 3907/256, 820621/3456, -2273849/41472, 
  -52279/576, -7072249/20736, -2101/192, -1784827/6912, -137179/4608, 
  10616119/20736, 1603333/20736, 4370591/110592, 28150975/663552, 13577/3072, 
  -376346225/1990656, -621349331/3981312, 821465/18432, 11734531/331776, 
  -34589/2304, 117889093/663552, -6797/6912, 518531213/3981312, 
  -120295237/663552, -67619/1728, 4370591/110592, 298780223/5971968, 
  -566269/82944, -129236351/663552, 660254291/11943936, -65549/6144, 
  11734531/331776, 274547/20736, -129891461/1990656, -6797/6912, 
  715122863/746496, -1771797197/11943936, -246898747/373248, 
  447700037/1990656, 123353051/186624, -3915095/110592, -521446591/5971968, 
  981971/82944, 27150083/221184, -867302605/11943936, -662057/55296, 
  -7578209/110592, 463895/20736, 114626731/1990656, 7463/6912, 
  -33982715/93312, 1378747987/11943936, 222143203/746496, -459279499/1990656, 
  -212505985/746496, 3993719/110592, 664562527/5971968, 29705003/248832, 
  -27705059/221184, 40114549/11943936, 690569/55296, 13767371/995328, 
  -28511023/248832, 108762665/1990656, 11364851/248832, 93/64, -943/768, 
  -1127/768, -493/768, -4351/768, -109/64, -149/128, 2119/384, 3499/768, 
  -1/4, 1093/192, 5075/512, -1713/2048, -5263/768, 8161/2048, 3993719/110592, 
  647719711/5971968, 31088483/248832, -27632483/221184, 123100021/11943936, 
  696617/55296, 13767371/995328, -28195447/248832, 107604041/1990656, 
  11380403/248832, -1/128, -33/64, -4677/2048, -71/256, 2469/2048, 
  3993719/110592, 664476991/5971968, 31017203/248832, -27722339/221184, 
  37875061/11943936, 716489/55296, 13767371/995328, -29341111/248832, 
  109820201/1990656, 11380403/248832, -133/64, 3035/512, 169/64, -27/64, 
  -107/128, 3960023/110592, 683038303/5971968, 30549023/248832, 
  -27627011/221184, 19523701/11943936, 715625/55296, 14148395/995328, 
  -30244423/248832, 103827497/1990656, 11345411/248832, -335/128, -157/48, 
  -17/16, 143/48, 41/128, -3960023/110592, -672618463/5971968, 
  -29931803/248832, 27412739/221184, -50207797/11943936, -705257/55296, 
  -14498315/995328, 28753375/248832, -106629449/1990656, -11257931/248832, 
  185/128, 29/64, 1/64, -209/128, 1/4, 3960023/110592, 660674527/5971968, 
  7413479/248832, -27974915/221184, -985881995/11943936, 762857/55296, 
  13394123/995328, -23871991/248832, 147588233/1990656, 11689499/248832, 
  -205/128, 21965/256, 25/64, -993/64, 147/128, 3960023/110592, 
  673434943/5971968, 30168971/248832, -29816579/221184, 57906037/11943936, 
  1092809/55296, 15120395/995328, -28862239/248832, 136349321/1990656, 
  11086859/248832, -337/256, -41/48, -5823/256, 655/384, -467/384, 
  3960023/110592, 661700959/5971968, 29943467/248832, -30101891/221184, 
  -158982155/11943936, 219497/55296, 15120395/995328, -28376239/248832, 
  141307817/1990656, 11086859/248832, 611/128, -19/32, 5915/2304, -79/128, 
  383/128, 13/64, 25475/2304, 23983/256, -53/32, 11095/144, 5/8, 283/192, 
  -2809/192, 3935/768, -587/384, -21263/2304, -50309/768, 7655/2304, 319/288, 
  -9017/384, -13/64, 19/32, 284347/4608, 0, -497341/13824, -3960023/110592, 
  -112904575/5971968, -6638471/248832, 27865475/221184, -80233525/11943936, 
  -715625/55296, -46755323/995328, -985505/248832, -60436121/1990656, 
  -19273745/248832, -3960023/110592, -115859455/5971968, -7042823/248832, 
  27848195/221184, -70715701/11943936, -830537/55296, -74862539/995328, 
  2444977/62208, 63826375/1990656, 732275/124416, 97/96, 1289/384, 41/96, 
  -83/128, -3960023/110592, -280305439/5971968, -7346567/62208, 
  27752579/221184, -783805141/11943936, -649961/55296, -74862539/995328, 
  18498073/248832, 107494663/1990656, 732275/124416, -30625/4608, 
  -1737047/27648, -3157/18, 183593/1536, -5/192, -973/192, 35/48, 5/192, 
  7459/2304, -35/48, 283981/4608, 5/192, 3131/384, -29/32, 44347/512, 
  -967/384, -1/32, 125/128, 39/16, 0, 443/128, -767/128, 29/16, -1601/128, 
  -29/16, 147/2048, -163/32, 3091/2048, 83293/2048, 94973/2048, 321/64, 
  215/64, 1/32, -29/16, -985/64, -373/128, -103/128, 673/128, -2355/2048, 
  38179/2048, -38869/1024, -697/128, 83/128, 693/64, -161/32, -115/2048, 
  203/128, 383/256, -739/128, 103/256, -1583/256, 639/256, 29/16, 275/64, 
  799/128, 109/128, -347/256, 807/128, 9/64, -921/256, -673/128, -289/64, 
  -3/64, -9/64, 135/128, 161/32, 21/16, -203/128, -41/64, -443/256, -101/64, 
  -847/256, 87/256, -29/16, -317/256, 59/32, 85/32, 61/64, 29/256, 317/256, 
  -249/64, -77/64, 41/64, 315/128, 11/32, 1199/256, 447/256, -43/64, 
  -421/256, -65/128, 77/64, -219/256, 187/128, -187/256, 1274389/36864, 
  169263959/5971968, 15977/3072, -3937559/110592, -639260317/2985984, 
  -2358853321/11943936, 28947203/221184, 1078169707/11943936, -883241/55296, 
  47167433/995328, -403753/20736, 96108109/995328, 2113094435/5971968, 
  -677647015/5971968, 392297/20736, -243903491/1492992, -749109961/8957952, 
  -1063450427/35831808, 1696229303/11943936, -4873441391/17915904, 
  1703191517/35831808, 982300261/4478976, 5006013463/5971968, 
  -2465047039/5971968, -3131673211/5971968, 517104179/1492992, 
  815409623/4478976, -1920112435/17915904, -27470843/69984, 
  1956553897/2985984, 212054005/1119744, -183/128, -1139/768, 423/64, 
  709/128, 5231/768, 7/16, 139/64, 637/128, -53/64, -25/64, -3599/768, 
  -169/64, -33/32, -63/32, 9/32, -833/96, -3571/512, -45/8, 3819/512, 29/16, 
  -31/64, 3641/256, 51/128, -257/64, 283/64, -3155/512, -441/128, -417/128, 
  203/128, 3975143/110592, 673434943/5971968, 30273947/248832, 
  3937559/110592, -37156969/2985984, 1429874053/11943936, -27530243/221184, 
  214113997/11943936, 682793/55296, 14859899/995328, -28881679/248832, 
  15503579/995328, -12382391/221184, 102523721/1990656, 11743931/248832, 
  10454519/248832, -3945767/110592, -668038399/5971968, -29973275/248832, 
  26038115/221184, -111840373/11943936, -791657/55296, -20945915/995328, 
  28179247/248832, -98659049/1990656, -10712315/248832, 205/384, -125/384, 
  127/64, -383/192, -1/16, 607/576, -11/8, -143/96, 257/576, 131/96, 
  -408575/6912, -265133/4608, -13/64, -3113/2304, -37/48, 78575/1152, 
  99587/4608, -655/576, 65/32, 143/96, -1669/384, -29/16, 342589/13824, 
  -188209/3456, -45289/432, -3384353/82944, 1/12, 119/128, 441/128, 
  19847/256, -203/128, -55/36, -29/12, 1/8, 25/16, 0, -153/8, -1/8, 39/128, 
  39/128, 7/16, 13/192, -227/192, 0, 0, -105/16, -7/8, 5/8, -23/16, 0, 0, 0, 
  0, 5/8, 139/36, -5/8, -3/4, -5/8, -9/16, 3/8, 49/192, 7/16, -221/144, 
  -3/16, 2208037/27648, -661/144, 19/8, 73/24, -3/16, 7/16, -15/16, -3/8, 
  35/36, -250287865/124416, 253209913/124416, 250175977/248832, 
  -252101833/248832, -253781449/248832, 249492985/248832, -250641241/248832, 
  -1883/144, 1/16, 129/128, 1/16, 5/8, 3/8, 161/128, -3/8, 209/128, 5/16, 
  169/192, 9/16, 0, -49/192, -23/16, -1/4, 473/144, 47/36, 0, -139/24, 
  -2378533/27648, 283/48, 631/144, -252740509/124416, -252740509/124416, 
  -252740509/124416, -252740509/124416, 5/16, 625/288, 625/288, -497/288, 
  -7/8, -7/8, -9/8, 7/16, -7/16, -7/16, -7/16, -3/8, -3/8, -3/8, 
  -252740509/124416, -252740509/124416, 252740509/124416, 1/8, 
  246627961/497664, 247104889/497664, 238948729/497664, -260692153/497664, 
  -255024313/497664, 267151417/497664, -242240569/497664, -243201337/497664, 
  -17/128, -17/128, 47/16, 55/16, 113/16, 103/16, 39/64, 423/128, 151/128, 
  -97/192, -97/192, -1/4, -71/192, 169/192, -5/8, -107/96, 9/16, -53/16, 0, 
  -7/16, 0, 2158501/27648, 2158501/27648, -95/48, -139/144, 254642713/82944, 
  3/8, -255011353/82944, 151/72, -21/16, -1/8, -465/128, -21/16, -21/16, 
  71/192, 5/8, 5/4, -11/8, -281/144, -2213221/27648, -287/72, 26563/3456, 
  11497/288, 255256297/124416, -253147705/248832, 94559/3456, -6341/576, 
  -9785/576, -256629625/124416, 248717977/248832, 19/9, 17/128, -7/8, -49/16, 
  -281/128, -1/8, -7, -63/16, -447/128, -77/16, -5/16, -71/192, -5/4, -5/4, 
  71/192, 5/8, 17/8, 7/8, -21/16, 1/16, -5/72, -161/48, -11/8, 0, 
  -1995109/27648, 71/9, -287/72, 252874429/124416, -17/3, -287/72, -2225/288, 
  -133/288, -601/576, -215/576, 0, -215/144, 755/576, 2143/576, 37/72, 
  265/288, 13/72, 12185/576, 1025/2304, 1171/9216, 3017/1024, 0, -4627/512, 
  -4883/1536, 2899/768, -7517/1152, 81859/9216, -7301/3072, -7/16, -71/48, 
  64/9, -1/8, 7/4, 47/144, 71/48, -5/8, 439/48, -3/8, -31/24, -23/12, -49/4, 
  0, 1051/144, 1471/144, 637/12, -5/8, -133/144, -31/36, 1183/144, 
  17051185/248832, 17279281/248832, 179/576, -875/768, 1043/768, -1799/384, 
  713/288, 107/18, -14279/768, 11/24, 31207/2304, -3/16, -2, 27/16, 35/32, 
  -1/24, 43/48, -5, -23/24, 1669/576, -2575/1152, -1001/128, -1057/576, 
  252818089/497664, -265945273/248832, -251117017/165888, -32155763/55296, 
  -86735455/124416, -3705883/6144, -236031385/165888, 241081729/497664, 
  87810487/124416, 14164417/497664, 434159905/497664, 693/128, 243/16, 
  -277/64, -531/128, 589/768, -143/128, -733/768, -3/8, -371/768, -4387/768, 
  -1517/384, 1533/256, 115/128, -3263/256, -133/192, -247/768, 1, -3/16, 
  22567/256, -49/64, -6343/384, 21/64, 89/192, 119/192, 303/128, -91/96, 
  -1/192, 3349/18432, 20525/3072, 19319/512, -453/2048, 26173/3072, 1439/192, 
  -75475/768, -527/128, 83/192, 1269/128, 0, 0, 1027/1152, 215/144, 53/128, 
  1087/288, 3515/576, 443/72, -2299/192, 229/48, 0, 185/32, 11/32, -85/16, 
  253322737/124416, -7162735/373248, -8561/288, -1403/128, -245/64, -713/256, 
  537/128, -13247/768, -252821509/62208, -253808575/62208, 252988045/124416, 
  -181/64, -63210109/15552, -126510857/31104, 615/64, 252333835/124416, 
  -9582071/373248, -234912769/497664, 1217/144, 272865049/497664, 
  14642599/36864, 8363772737/23887872, 568607/6912, -165010057/1990656, 
  14642599/36864, 8466516577/23887872, 14791795/124416, 568607/6912, 
  -315861689/1990656, -1015349063/2985984, -4852292963/7962624, 
  -2060550011/7962624, -696545/6912, 1107188533/2654208, 8059852483/2985984, 
  -1850625173/47775744, 156956743/497664, -1234202809/11943936, 1801/48, 
  26743927241/5971968, 26776858601/11943936, -3061/64, -27073964009/11943936, 
  8051384419/2985984, 25412769353/23887872, -1657212725/47775744, 
  153401167/497664, -1338799729/11943936, 8051384419/2985984, 
  25704058313/23887872, -2087381045/47775744, 153401167/497664, 
  -1256405233/11943936, 8019448387/2985984, -26743305161/11943936, 
  -18195653453/15925248, 170280919/497664, 8039059645/7962624, 
  -8039428819/2985984, 1533364373/47775744, -160422895/497664, 
  1238775097/11943936, 8006769619/2985984, -26706229193/23887872, 
  -106696829881/47775744, 169166359/497664, 8039648029/7962624, 
  8055758419/2985984, 697/1536, 50009204477/47775744, 158995351/497664, 
  -1236683353/11943936, 8055758419/2985984, -7031/1536, 50228280317/47775744, 
  158995351/497664, -1149623257/11943936, 1581/64, 27008974793/11943936, 
  26265952073/5971968, -50707/1152, -26833734857/11943936, 0, 12623/768, 
  -8153654587/2985984, 16711943117/15925248, -166265047/497664, 
  4224085735/1990656, -8258843347/2985984, -26930042129/11943936, 
  16045429325/15925248, -149247919/497664, 51803094851/11943936, 
  -8258843347/2985984, -26927008193/11943936, 15622304333/15925248, 
  -149247919/497664, 51806862323/11943936, -11701/2304, -59/32, -6851/384, 
  567631/13824, -3244167221/995328, 294988025/124416, -5070935311/746496, 
  5/8, -5/8, -3331/2048, 2105/2048, 207404139145/11943936, 1604926345/165888, 
  -124867586831/2985984, -291643/3456, -230297/6912, -137459/3456, 
  763211/2304, -121771247591/23887872, 13978355353/995328, 
  -268408276297/47775744, -102990041/995328, -1790959339/746496, 
  -98010024727/23887872, -3386267647/497664, -62391269827/15925248, 
  610449541/331776, -5318890261/1492992, 358426194469/23887872, 
  -7107863195/1990656, -62144748739/15925248, -846089723/995328, 
  -112802461/55296, -139467607103/23887872, -49/64, 139458462527/23887872, 
  27/16, 134296735127/3981312, 253609855/62208, -8195/1024, -253177423/62208, 
  4409/1024, 253271545/82944, -105075069641/5971968, -5155/2048, 
  90801461375/23887872, 12473/2048, -139467607103/23887872, -49/64, 
  139459955519/23887872, 27/16, -134284490519/7962624, 
  -188150994815/23887872, 2915/2048, 188009554559/23887872, 6983/2048, 
  139459209023/23887872, 1/16, -139459209023/23887872, 
  -139469659967/23887872, -23123/18432, -99647774741/5971968, 
  62315942851/15925248, 123575267969/5971968, 111334640837/5971968, -101/768, 
  -212255746175/23887872, -281714890769/15925248, 127338457679/11943936, 
  163713503231/23887872, -163/96, -139449380159/11943936, 11/16, 
  139467296063/11943936, 139434325823/11943936, -8653/9216, 
  85960293959/3981312, -62288737219/7962624, -118102554007/3981312, 
  -3773860805/147456, -134010194135/7962624, 0, 133485473111/7962624, 
  134290379543/7962624, 5677559/55296, 15522069313/884736, 
  -1991639513/497664, -135570493289/5971968, -54324556019/2654208, 
  1577575/9216, 3098737361/3981312, 3767912197/294912, 
  -120865368047/11943936, -13662495473/3981312, 5706263/27648, 
  2499091187/663552, -3980237017/497664, -169622232479/11943936, 
  -14807476661/1990656, 0, -134067909335/3981312, 0, 133874669687/3981312, 
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  0, 31/96, -443/24, -3431/192, -10759/144, 1759/48, 23/48, 107/8, 9193/144, 
  -25/6, 41/48, 14935/288, -9967/288, -11755/144, 5365/288, 3/16, 159/64, 
  7/8, 113/64, -1/8, -3/8, -2, -1/8, 3/8, -3/32, -149/16, -81/32, 93/32, 
  81/32, 0, 63/32, 89/32, 207/64, 1/2, 0, -69/32, -207/64, 3/16, 0, -137/32, 
  -29/64, 5/2, 37/16, -5/72, 1775/192, 983/48, 79/72, 55/18, 1/24, -5819/576, 
  -1225/64, -449/144, -257/192, -5525/576, -11141/576, -323/72, -59/96, 
  -575/576, -1253/192, 64055/288, 3077/72, 317299/576, -25115/288, 
  -58601/144, 4897/96, -7801/18, -100871/96, -63, 7223/192, 8831/32, 
  473767/576, 193/12, -20513/144, 209/96, 23/48, -1285/72, 13/16, 27/16, 
  3595/288, -1423/144, 583/72, 77/72, 19/2, 57/16, 61/48, -55/24, -17/3, 
  -17/3, -87/16, 5/12, 17/3, 15/8, -257/144, -955/288, 509/32, -367/72, 
  -3667/288, -1/8, 2467/288, -4873/288, 375/32, -5/24, 7055/288, 7079/144, 
  1271/576, -5615/576, 3445/576, 0, -4, 0, 2, -3/8, -1/4, -371/8, 0, 27/8, 
  3029/16, 203/32, -105/32, -1219/32, 0, -205/8, 0, 1/2, -429/64, 565/16, 
  421/64, 1619/192, -389/16, 0, 5/2, -1, -149/16, 0, 1, 4369/16, 56639/192, 
  -2171/24, -6167/64, -55/8, -101/16, 81/16, 11/32, -9563/192, -603/16, 
  131/8, 4993/192, 119/6, 1663/48, 15/8, 273/16, -339/64, -117/32, 51/16, 
  -105/64, 61/64, -5/4, 137/64, -5/8, -5/8, -1049/96, -51/64, 5/4, -2149/24, 
  6049/32, 46319/64, 46549/192, -57623/192, 237/32, -129/16, -495/32, 
  -237/32, 7427/192, 14831/192, -209/16, -93/64, 1057/192, -12431/32, 
  -16165/32, 14471/96, 17107/96, -157/96, 5233/48, -42913/192, -3655/64, 
  -7/96, 0, 3/4, 0, 771/16, -5007/64, -333/32, 2027/64, 2439/4, -303/4, 
  2403/64, 0, 0, -3/4, -3/4, 0, 0, 0, -3/4, -3/2, 0, -3/4, 0, -3/4, -3/4, 
  -3/4, 0, 0, 11/16, 0, 0, 0, 0, 0, 0, -1/8, 0, -11/8, -15/16, 5/8, -37/16, 
  5/8, -11/16, -59/16, 0, 33/16, 1/2, 27/16, 21/8, -11/16, -7/2, -17/16, 
  27/16, 39/8, 0, -1/8, 0, -11/16, -3/8, 1/16, 0, -1, -11/16, 3/4, -17/8, 
  -1/8, 19/16, -5/16, -3/2, 27/16, 47/16, 0, 0, 0, 0, -13/16, 9/16, 1/32, 
  5/32, 5/8, -21/8, 5/8, 0, 13/8, 5/16, -3, 1/32, 0, -1/8, 0, 17/16, -193/64, 
  0, 0, 5/8, -3/2, -27/32, 1/32, -1/8, 9/8, -1/8, 0, 59/16, 83/32, -265/64, 
  -59/16, 3/8, 2, 25/8, -1/16, 19/16, 3/8, -45/16, -1/8, -117/64, -15/8, 
  -243/64, -13/64, 123/64, 21/32, -1/32, 23/32, 33/16, 21/16, -33/16, -7/16, 
  -21/8, -1/16, -185/16, -37/4, 43/32, -5/8, -55/16, 0, -49/64, 91/16, 
  541/64, 4, -129/64, -101/64, -83/16, -1/16, -137/64, -7/16, 43/32, 95/16, 
  103/64, 0, 3/8, 427/64, -35/32, -93/64, -7/16, 0, 0, -1/8, 5/16, -73/64, 0, 
  -17/32, 5/16, -5/8, 131/32, -19/8, -177/32, -57/32, 173/128, 99/64, 
  -279/128, 37/32, -13/128, -29/64, -65/64, 31/64, 391/64, 77/64, 621/128, 
  179/64, -77/64, 0, -5/64, -107/64, -135/128, 0, 0, 5/16, -9/64, -281/64, 
  131/32, -15/32, -59/32, 173/128, 467/128, -1/16, 37/32, -13/128, -7/128, 
  17/32, -15/64, 337/128, -87/32, 77/64, 319/128, -61/64, -77/64, 7/128, 
  -241/128, 103/128, 37/64, 105/128, -87/64, -47/16, -349/64, -637/64, 
  -187/64, -143/128, -35/32, 877/128, 171/64, 111/32, 285/128, 119/64, 
  121/16, 229/64, 531/64, -177/64, 113/128, 97/64, -141/32, -113/32, -1/2, 
  -37/8, 107/64, 83/64, 0, 5/16, 89/64, -5/8, 89/64, -237/64, -177/64, 1/32, 
  -57/32, 5/64, -91/32, 53/32, 177/64, 35/32, 79/32, 91/64, 5/64, -49/64, 
  -21/16, 69/32, 71/16, 75/64, 715/128, 53/128, 159/64, -141/32, -85/32, 
  -281/128, -5/64, 29/64, -107/64, -53/128, -57/16, 35/32, 99/128, 0, 35/64, 
  3/4, -3/4, 0, 0, 0, 0, 0, 0, -3/4, 0, 0, 0, -1/8, -1/4, 0, 0, 0, 0, 0, 0, 
  0, 3/4, 3/4, 0, 0, -3/4, 0, -3/4, 0, 0, -7, 16, 6, 3/2, 3/4, 3/4, 0, -3/4, 
  -7/2, 0, -7/4, 7/4, 1/8, 1/2, 1/2, -1/2, 0, -1, 1, -1/4, -1/4, -7/4, 0, 0, 
  -53/16, -5/8, 0, 0, -11/8, -5/16, 0, 0, 0, -1/8, 29/144, 0, 203/32, 
  -231/32, -291/32, 1501/64, 1215/64, -243/32, -1677/64, -335/64, -723/64, 
  -65/8, -57/4, 65/8, -287/64, -349/64, -213/32, -455/64, -151/16, 295/64, 
  151/16, 0, 15/32, 0, -53/16, -427/64, -5/8, 37/32, -595/64, -427/64, 
  -57/32, 0, 1/4, -1/4, 0, 3/8, -1/8, 0, -11/4, -3/4, 1/8, 5/8, 3/4, -1/8, 
  -11/16, -13/16, 3/8, 11/8, -11/16, 29/16, -9/16, 1/8, 1/8, 41/2, -101/8, 
  16, 23/4, -23/6, -10/3, -401/16, 2, 217/16, 421/16, 189/16, 743/48, -59/4, 
  -163/48, 5/4, 1/2, -11/32, 1, 55/32, 31/8, 1, 1, -27/16, -575/48, 5/8, 0, 
  -89/48, -205/96, 0, -287/96, 171/16, -43/12, 1/2, 19/16, 21/8, -5/8, 37/64, 
  -1/2, -1/2, 1/4, -17/32, 1/4, 3/2, 15/8, -11/8, 21/32, -3/8, -295/96, 3/2, 
  3/2, -4/3, -173/96, 365/96, -1/2, 201/64, -9/32, -293/64, -273/64, -19/72, 
  0, 59/144, 33/4, 73/36, -505/72, 59/144, 203/32, 1039/64, 633/64, -203/32, 
  -191/32, -609/64, -3/8, -3/8, 0, -203/32, 77/8, -689/64, -1471/64, -95/32, 
  0, 543/32, 0, -491/64, 39/64, -95/32, -29/16, 447/64, -95/32, -1/2, 
  -365/32, -1083/64, -31/8, 275/64, 35/8, 563/64, 973/64, 73/64, 15/64, 
  1175/64, 139/64, -863/32, 119/16, 1061/64, 33/8, 89/32, 0, 0, 0, -9/2, 
  -1/2, 15/32, 63/128, -427/128, 99/128, 129/64, -9/2, 993/256, 9/4, -1/128, 
  0, -427/128, -523/64, -313/64, 129/64, -9/2, 45/8, 3029/256, 9/4, -721/128, 
  163/64, 5/16, -383/64, -101/16, -17/4, -357/64, -163/64, -545/256, 
  1107/128, -171/128, 465/256, 0, -1/4, 3/8, 1/8, 0, 0, -119/32, -71/64, 
  -69/32, -35/8, 119/32, 145/32, -119/32, 119/64, 119/64, -357/64, -119/64, 
  -103/64, -73/16, 51/16, -329/64, 255/64, 245/32, 265/64, -121/32, 33/32, 
  259/32, 119/64, -11/2, -119/64, 0, 0, 41/2, -23/12, 33/16, 139/12, 8/3, 
  35/36, -32717/576, -331/12, 1391/24, 8/3, 35233/576, -65/3, 277/144, 
  -1127/192, -527/576, 505/72, -871/1152, -2605/96, 29519/1152, 1619/96, 
  599/48, 1923/64, -20/3, 2651/192, 3941/384, -2041/192, -10927/576, -167/24, 
  38/3, -5/8, -1147/96, -281/32, -13/16, 1279/96, 27/32, 35/256, 463/256, 
  141/256, -2357/192, -545/32, 15/16, -7/8, 1/32, 741/32, 5/32, -191/16, 
  -393/64, 587/192, 11/6, 357/64, 375/64, -1/4, 7/8, -263/48, -2375/192, 1/2, 
  -4007/192, -1211/192, 2675/256, 8789/768, -3443/256, 139/192, -293/128, 
  -3/16, 2497/384, -109/96, -601/96, 5/16, -103/192, 1/8, -1/8, 3/16, 
  307/384, -2377/384, -313/64, -3/16, 1981/384, 5/4, 47/96, -5/16, 15/16, 
  -1209/128, 7/6, -323/96, 2277/128, 179/64, 441/64, 1223/96, -381/32, 
  -365/32, 1583/128, -2137/384, -255/16, -75/32, 649/128, 5/16, 0, 5/72, 7/6, 
  0, -37/36, 0, 0, 5/72, 97/144, 9/16, 223/144, 493/48, -107/144, -97/144, 
  -929/64, 17/144, 323/192, -89/72, -899/72, 61/24, 143/48, 1/12, 5, -213/32, 
  -1/4, 29/24, -1425/64, -161/64, -2285/192, 177/64, 65/8, 655/192, 675/32, 
  859/96, -9/8, -35/8, -1/12, -979/96, 411/64, -199/96, 2627/192, -71/16, 
  -335/384, 115/16, 13/384, 295/64, 499/96, 29/64, 107/64, -3275/384, 0, 0, 
  -101/128, 101/64, -51/128, -177/64, 1/32, -541/128, -163/32, -499/128, 
  21/64, -21/64, 539/128, 697/128, 197/32, 459/128, 499/128, -85/256, 
  -687/256, -691/128, 1/256, -41/128, -59/64, 5/16, -115/64, -71/16, 177/64, 
  -117/128, 27/128, -29/16, 85/64, 245/64, 117/128, 9/8, -1/64, 41/128, 
  153/128, -17/32, -93/128, 203/128, -89/128, 51/32, -41/64, 1/64, -35/128, 
  -35/128, 283/72, 1453/864, 0, -1127/192, -13/432, 4327/1728, -12751/1152, 
  -2537/432, 29195/1152, 4075/576, 149/144, -3295/576, -16721/3456, 
  -243335/3456, -601/24, 17501/288, 12985/1728, 7001/288, -74111/3456, 
  -559/864, 6053/108, -3871/144, -3737/216, -3145/432, 16519/3456, 
  13403/1728, 487/128, 955/384, -37/16, -823/128, -2983/384, -23/16, -49/32, 
  -991/128, 105/32, -191/128, 2159/192, 17/32, 91/32, -13/128, -53/64, 
  443/96, 665/128, 195/64, 135/128, -87/32, 11/4, -753/64, -99/64, -77/64, 
  147/128, 229/128, 103/128, 37/64, 105/128, -3/16, -15/32, -5/16, 289/192, 
  523/192, -13/96, 107/32, 11/384, -287/128, 3/4, 75/32, -1151/384, 19/384, 
  -163/48, -53/32, -13/128, 5/16, -127/128, -3/4, 11/32, 479/384, -125/384, 
  49/32, -21/128, 5/6, -9/8, 219/128, 143/128, 455/384, -33/64, 37/128, 
  -1/32, 201/64, 5/16, 3145/576, 59/64, -2011/576, -247/384, -57/32, -29/288, 
  -1645/384, 2047/576, 35/32, 703/384, 1/32, -10417/1728, -49/64, -2911/576, 
  1091/864, 177/64, 2495/864, 29/64, -107/64, 0, 20, -3/4, -1/2, -32, 0, 0, 
  0, 1/4, 1/4, 0, 0, 3/4, 0, -7, 20, 0, 0, 0, 0, 0, 1/4, 1/4, 0, -7/8, 0, 0, 
  -8, 1, 0, 3/4, 3/4, -18, 27/2, -5/2, -5/2, 0, 5/2, -1, -5/2, 3/4, -1/2, 
  -7/4, 0, 5/8, 0, 0, -41/3, 355/12, -25/6, 263/24, 29/8, -5/2, 0, -1/4, 0, 
  -20, 61/8, 169/4, 7/4, -647/8, 4487/384, -79/768, 211/32, -27/8, -3/8, 0, 
  3/8, 1705/128, 391/128, -639/64, -1899/128, 1031/16, 44653/384, -407/32, 
  367/64, 173/32, 0, -269/128, -269/128, 4991/384, -3221/192, -355/64, 
  2605/96, 43/8, -27/8, 5/8, -185/16, -1, 299/32, 3583/384, -5635/192, 
  -2917/384, -479/48, -35/72, -2969/384, 1207/128, -1019/64, -2929/128, 11/4, 
  3143/72, -45/4, -6, -2929/48, -1433/288, -541/32, 491/32, 659/32, 
  -5845/192, 2685/64, 1267/64, 1359/128, 203/3, -2059/256, 1233/256, 
  2659/256, 1359/128, 4181/96, -173/256, 1233/256, 35/256, -815/384, -35/12, 
  -1825/48, -2813/128, 8111/384, 13/8, -1103/192, 93/64, -13/16, -3/4, 
  67/192, -63/16, -1/128, -13/16, 81/16, -281/64, -63/16, -985/128, -13/4, 
  -1195/384, 35/24, 1895/96, -413/384, -49/24, -11/8, 0, 1127/144, -163/64, 
  -11/288, 0, 839/24, -1211/12, -1087/36, 2693/72, 1181/24, 587/24, 509/9, 
  -2165/144, -857/24, 1/48, -3/8, -11/16, 1/8, 37/8, -45/32, -1/4, 27/8, 
  -3/4, 1/4, 0, 1/36, 21/16, -343/144, -397091/288, 1119485/576, -30841/144, 
  -965/4, 198601/288, -409183/384, 71123/576, -31331/576, 1147/64, -91/8, 
  -827/64, 65/16, 24319/576, -299/36, -1037/192, 43/24, 2631/64, -39/16, 
  -19019/576, -41513/576, -1681/128, 2741/128, 2391/128, 169/36, -2451/128, 
  -4289/576, -4105/2304, 0, 6607/576, -3197/256, 2073/64, 15271/1152, 
  1657/256, 1/16, 0, -4523/288, -1/16, -6607/576, 1415/128, 209/128, 
  21089/1152, -393/256, -143/12, -14885/288, -15023/576, 1915/96, 3397/144, 
  -371/96, 119611/1152, 249319/1152, -69659/576, -120421/1152, -2379/256, 
  -39493/1152, 1595/96, 13/32, 26339/576, -953/256, 427/32, 35/18, 
  -13847/1152, 47/64, -21725/1152, -3215/128, 987/128, 5533/576, -3023/256, 
  3/8, -197/192, 27/8, -3973/192, -281/128, 293/384, 479/64, -691/64, 
  1027/192, -787/256, 1559/192, -3/8, -4145/384, -4315/384, 3/4, 43/108, 
  10205/576, -557/144, 709/432, -10733/576, -13/16, -22729/1152, 527/288, 
  377/48, 3/8, -1621/384, -63/16, -317/64, -2539/384, -243/64, 253/32, 
  3601/384, -107/384, 1483/256, 1449/256, -925/384, -477/256, -81/32, 
  -161/24, -1117/96, -6539/96, -7103/384, 8479/384, 3407/96, 57/16, 2809/192, 
  -861/128, -99/8, 695/128, 1/4, -4995/256, 1141/128, -663/64, -929/256, 
  -211/32, -141/64, 595/192, 1643/192, -75/128, 839/128, -1333/384, 581/64, 
  167/256, -1849/384, -327/32, 75/256, 223/48, -43/12, 5/144, 37/144, 
  105/128, 23627/384, 25/48, -15251/384, 1381/144, -9677/72, -791/48, 
  -4429/32, 16559/144, 3149/72, -1017/64, 12583/576, 49571/576, -1717/72, 
  8341/576, 9/32, -23/128, -283/96, -551/128, -155/32, 3/64, 485/48, 145/32, 
  -119/32, -105/128, -23/32, 119/64, -357/64, -119/64, -401/384, -159/64, 
  -589/384, -95/32, -287/128, 155/128, 907/128, 81/32, -589/128, 401/384, 
  593/128, -281/384, -79/12, -275/128, 2381/192, -1661/128, -13/24, 5423/288, 
  -1/24, 17/16, 863/128, -5207/288, 407/64, -7103/576, 29459/1152, 1765/144, 
  5081/576, -7175/576, -3273/128, 732443/1152, -1585/48, -1104001/768, 
  -772027/1152, 129697/144, 87479/576, -193153/144, 689089/384, -54653/288, 
  80545/1152, 957001/1152, -354821/256, 95029/576, -74/9, 949/192, 8939/864, 
  -25/72, -23411/3456, 10361/864, -111953/3456, 1817/576, 5225/288, 1267/64, 
  -2051/96, -127/64, -1259/576, -65/144, 4997/1152, 4709/1152, 713/128, 
  4651/1152, -4709/1152, -459/128, -1/4, 1/4, 1/4, -1/4, 3889/576, 665/48, 
  -3499/1152, 571/576, 1219/128, 1/2, -12785/1152, 1385/1152, -4811/1152, 
  -277/192, -1369/192, -40415/576, -8063/256, 3583/768, 82631/2304, 3/2, 6, 
  1/2, -73/16, -3, 7495/24, 4583/192, 0, 71/32, 34861/32, -36461/64, -1/8, 
  93/32, -2407/64, 3/2, 153/8, 3/8, -5/8, -14947/768, -2659/32, -443/384, 
  -106783/1152, 30323/384, 5/16, -91/16, 0, 125/48, -187/192, -5/4, -85/48, 
  134393/256, -213143/576, 8755/256, 31219/256, -47/8, 373/128, 1143/128, 
  363/64, 16531/768, 28927/768, -15967/288, -163823/1152, 208/9, 253531/1152, 
  129677/288, 4999/384, -1415/128, 5483/256, 3851/256, -387/64, 787/192, 
  17/8, -627/64, 181/256, 5/6, 11555/192, -4123/128, -11/12, -616117/1152, 
  35665/128, -440501/768, 646841/576, -606727/2304, 4057/128, 1375/96, 
  -6767/384, -4089/128, -1/4, -13649/576, -92291/576, 9221/576, 397/48, 
  35767/1152, -28597/32, 92903/96, 6487/192, 91831/576, 54857/1152, 
  -29305/144, 205183/576, -187037/1152, -1/4, 1/4, 51277/1152, -15/16, -9/4, 
  0, -7081/32, -14937/64, 4231/256, -1713/32, 25959/32, -51033/256, 
  -20047/64, 0, 0, 1/8, 1/8, 0, 0, 0, 1/8, 1/4, 0, 1/8, 0, 1/8, 1/8, 1/8, 0, 
  0, -5/64, 5/64, 5/64, -55/64, -1/8, 107/64, -47/64, 0, 0, -3/64, 0, 63/64, 
  5/16, 0, -3/64, 0, 63/64, 13/64, -111/64, -15/16, 0, 3/64, -21/32, 1/32, 
  5/64, 1/4, 17/64, 3/16, -5/16, 71/64, 25/64, 0, -5/64, -165/64, 259/128, 
  -53/32, -167/128, -269/128, 155/128, 25/64, 5/64, 5/64, -55/16, 1/8, 61/32, 
  11/16, -259/128, -29/32, 229/128, 163/128, 9/64, -263/128, -337/128, 1/8, 
  403/128, 3/16, -273/128, -259/128, 0, 1/4, -17/16, 1/32, -35/16, 315/128, 
  57/32, -49/128, -5/16, -127/128, 285/128, 3/16, 37/32, -9/32, -7/16, 61/16, 
  201/128, -129/128, -133/32, -27/8, 0, 0, 15/16, 0, 5/16, -15/64, 5/64, 
  -169/64, 157/128, -11/64, 11/64, 1/4, 5/64, -457/128, 447/128, 17/128, 
  -47/128, 215/64, 91/64, 11/32, -111/64, -25/16, -17/32, -1/8, -247/64, 
  -51/64, -13/32, 3/8, 13/64, 133/64, -53/64, -31/16, 369/64, 5/64, -15/8, 
  31/8, 1/32, -13/64, -51/32, -71/16, -33/16, 215/128, 13/64, 123/64, 3/16, 
  87/64, 13/64, 5/64, -59/32, -31/32, 1/32, -483/128, -199/64, 67/64, 89/32, 
  225/128, -11/32, 167/128, -1/64, 51/32, 189/128, -5/64, 5/16, -1/16, 
  -47/128, 1/32, -15/64, -181/128, 113/64, 279/128, 169/128, 25/64, -11/64, 
  3/16, 15/64, 1/64, 5/32, -457/128, -75/32, -109/128, 17/128, 45/16, -11/32, 
  99/128, -301/64, 67/32, 461/128, -51/64, 17/32, 737/128, -5/16, -29/64, 
  11/64, 279/128, -193/64, -121/64, 293/128, -11/32, 169/128, 1/128, 45/32, 
  7/16, 13/64, 17/32, 79/128, -9/64, -29/64, -3/8, -39/128, 167/64, -185/128, 
  1/16, 15/8, -15/8, 1/32, -81/32, 103/32, 445/128, 0, 73/16, -15/4, 89/16, 
  19/4, 313/64, -1, -83/64, -23/16, -205/64, -141/64, 51/32, 87/64, -207/64, 
  -10, 105/32, -145/128, -299/32, -375/64, 0, 157/64, 401/64, 1033/256, 
  -157/128, -13/32, 3/64, 113/16, -15/4, 235/64, 293/64, -1, -27/8, -101/32, 
  -205/64, -141/64, -601/256, 21/8, 15/32, 925/256, 19/8, 105/32, 443/64, 
  403/256, -375/64, 601/256, -5/8, -61/16, -661/128, 157/128, -13/16, 
  -195/64, 47/16, 9/32, -147/64, 39/64, 195/64, -11/32, -35/32, 39/16, -3/32, 
  57/64, 57/64, 47/64, -37/16, 47/16, 19/8, -37/128, 907/128, -325/128, 
  -573/64, -5/64, 139/128, -61/16, -1701/256, 157/128, 13/64, 0, -79/64, 
  279/64, -23/16, 431/64, 19/8, 5/64, 141/32, 5/64, 11/8, -173/32, -19/8, 
  -55/16, -283/64, -63/64, -13/64, 115/64, 23/16, -51/8, -99/16, 239/256, 
  -679/128, -57/128, 1149/256, 99/16, 39/8, 993/256, 0, -73/128, 645/128, 
  57/128, 289/256, -645/128, -741/256, -157/128, 157/128, -1/8, 1/8, 0, 0, 
  1/24, -1/8, -143/36, 0, 0, 0, 0, 0, 1/8, -7, -17/9, -1/3, 87/4, 47/4, 
  -53/4, 91/6, 113/12, 113/12, 23/18, -115/24, -55/24, -3/8, 77/144, 37/144, 
  -3/8, 83/144, 37/144, 37/144, 37/144, 71/72, 3/4, 77/144, 3/4, 83/144, 
  293/144, 245/144, -77/144, -1/4, 95/144, 1/4, -41/144, -163/144, 5/16, 
  149/144, 1/2, -43/72, 1/2, 25/72, 11/72, 23/144, -1/24, -1/24, -1/24, 5/3, 
  143/36, 1/3, -41/72, 1/3, 0, 0, 0, 0, 0, 0, 0, -1/8, -1/8, 0, 0, 1/8, 0, 
  1/8, 0, 0, 20, 22/9, -317/9, -46/3, -7/6, 157/9, 218/9, -191/18, -28/3, 
  -763/72, 0, -9/8, 31/36, -3/4, 77/72, 79/36, 3/2, 71/72, 125/72, 79/36, 
  59/144, 17/36, 91/144, 1/2, 77/144, 43/72, 1/16, -7/6, -23/48, 11/36, 
  -83/36, 5/3, -1/12, 0, 19/72, -1/12, 143/36, -221/72, 0, 0, 145/256, 
  -149/32, 15/16, 5/8, 79/32, 1/8, 0, 0, 5/64, 1/4, 1/16, 31/32, 87/4, 
  -473/32, -10, -191/32, 1, 0, -103/128, -417/64, 13/16, 437/64, 50681/1152, 
  875/288, -3/8, -397/9, 19/144, -743/576, 13/16, 3/8, -7/8, -1/8, -1849/576, 
  299/576, 1/144, -3/4, 3/4, 7/144, 0, 0, 0, 0, 0, 0, 0, -245/64, 75/16, 
  75/16, -2115/256, 1233/256, 1233/256, 0, -27/16, 409/32, -569/256, 15/16, 
  0, -1301/256, -613/256, -569/256, 829/256, -283/128, -1833/256, 341/128, 
  -49/128, 1597/256, 235/64, -75/32, -75/32, -729/256, 793/64, 753/256, 
  471/256, -993/128, -701/256, 1477/128, 2751/256, -75/16, -1967/256, 
  887/256, 215/128, -887/256, 15/16, -13/4, 0, -15/16, 15/16, -79/128, 0, 0, 
  -89/32, 5/8, 53/32, 0, -4, -149/32, 15/16, -89/32, -467/128, 281/128, 
  773/128, 51/128, -89/32, -61/16, -27/16, 773/128, 9/16, 0, -25/8, 55/64, 
  -55/64, 67/64, -51/64, -167/64, 39/16, 1/16, 15/8, 0, 3/64, 9/32, 1/32, 
  115/64, -31/16, 11/64, 1/32, -3/32, 119/64, -65/32, 51/32, 5/64, 45/64, 
  99/128, 387/128, 5/16, -87/64, -171/64, 69/128, -3/2, 1/16, 67/64, -1/16, 
  -3911/72, 12481/72, 103/24, -98881/768, 131/12, 66910651/82944, 1523/36, 
  -683597/10368, -713/36, 9843115/20736, 48831851/55296, 2333/72, 
  4208911/41472, -20/9, 13888019/41472, -1522901/20736, 4037/288, 
  797795/4608, -8497/288, -1392137/4608, 12895837/27648, 2351/96, 
  -592745/13824, -8455/96, 5994623/13824, -37458499/165888, 561/32, 
  -37669/1728, -3331/96, -845189/6912, -1621/144, 1414055/10368, 
  -1344143/10368, -49667195/165888, -275/16, -2685355/41472, 91/96, 
  2650219/41472, -165605249/165888, -4519/96, -4221/512, 747/32, -284523/512, 
  2243/384, -6775/144, -95/12, 19/18, 3/8, -151/128, -19/64, 3/8, -417/64, 
  47/64, 27/4, 55/64, -257/96, 50393/1152, 1123/384, 875/288, -955/384, 
  -26983/576, -351/64, 103/72, -275/48, -939/64, -27793/576, -679/96, 
  -11/288, -91/64, 397/128, -27523/576, -549/128, 179/144, -151/384, -417/64, 
  3767/192, 87/128, 437/64, -79/32, 71/16, 52925/1152, -1511/384, 1403/1152, 
  919/192, -133/64, 14321/288, 1285/384, 9395/1152, -581/192, 1/16, 1405/32, 
  25/72, 79/144, -407/1152, 743/576, 5/64, 3/8, -1/16, 1/8, 11/64, 35/64, 
  95/64, 253/1152, -45193/1152, 6667/2304, -3635/2304, -25135/576, -1483/576, 
  133/288, 1/16, -25091/576, -25/36, -7/32, -227/128, -829/1152, 48605/1152, 
  -7007/2304, 1619/2304, -1897/1152, 13/16, -67/72, 77/192, -7/8, 15/32, 
  -431/144, 45239/1152, -1433/2304, 5845/2304, -413/288, -1157/576, 2627/72, 
  -5579/2304, 10093/2304, 3719/1152, -19/32, 4253/2304, -7/24, 143/72, 
  -21/16, 29107/576, -340471/6912, 1/8, -1/8, 7/144, -143/72, -2171/576, 
  -347/72, -1261/576, -143/72, 11767/1152, -77/96, -13493/256, 256141/6912, 
  143/288, -1/4, 74287/3456, -3533/2304, -25/32, 3533/2304, 25/96, -4327/576, 
  -251/96, 130997/6912, 1985/192, 25/96, 1385/1152, -19/32, 482549/6912, 
  -335629/6912, -215/64, 1371/256, 2231/256, -499/128, 3863/256, 253/64, 
  -1625/256, -3243/256, 95/64, 0, -2111/256, -2091/256, 0, 0, -1447/128, 
  -157/128, 3949/256, 929/256, 457/128, -4279/128, -325/32, 47/128, 11/32, 
  77/256, 4917/256, -63/32, 223/32, 13/8, -67/32, 8699/256, 7931/256, 
  -471/256, 135/256, -753/256, -2445/256, -857/32, -1635/128, -21/64, 
  -373/256, 15/16, 0, 175/256, -65/16, 457/128, 55/32, 61/256, -171/64, 
  -99/64, -97/256, 127/64, 447/128, 177/256, 57/128, 5/128, -123/128, 
  1611/256, 157/128, 61/256, -171/64, -99/64, -323/256, 219/128, 447/128, 
  177/256, 57/128, -835/256, -141/64, 1611/256, 1159/256, 43/64, -131/128, 
  11/32, 207/128, -1/16, 465/128, -79/64, -43/64, -7/4, -279/128, 595/128, 
  355/128, -15/16, 1, 9/32, -1/32, 15/8, -1/4, 23/32, 83/64, 157/128, 61/128, 
  1769/256, -23/32, -1725/256, 23/32, -457/128, -819/256, -411/256, 1477/256, 
  725/256, -11/32, -765/256, -439/128, 1, 1223/256, 899/256, 491/128, 
  -1107/256, 23/32, 975/256, 61/256, -411/256, 843/256, 725/256, 4037/288, 
  932587/4608, -147005/3456, -12457/288, -1824457/6912, -2473/72, 
  -1544977/4608, 2033231/13824, 5588269/6912, -569689/4608, 702915/4096, 
  -2041925/24576, -1423/192, -423307637/663552, -24322631/1327104, 
  16638325/36864, -8542889/110592, -1429/288, 10949777/24576, -95/48, 
  148484273/1327104, -3711707/8192, -16467445/36864, 702915/4096, 
  -505210669/1990656, -15109/576, -192058283/221184, -787636345/3981312, 
  -14892685/110592, -8542889/110592, 1467/32, 16201447/663552, -95/48, 
  537161021/248832, -2027948273/3981312, -243755605/124416, 346407833/663552, 
  2064683933/995328, -686723/4096, -270681907/1990656, -1559/192, 
  97426933/221184, -19293529/3981312, -15819637/110592, 5571305/110592, 
  -6751/288, -92399657/663552, 569/72, -217716109/248832, 1003147471/3981312, 
  218605321/248832, -283059031/663552, -727344391/995328, 2151241/12288, 
  240751891/1990656, 1944767/20736, -99582325/221184, 733029889/3981312, 
  16002805/110592, -117627985/331776, -51860359/82944, -23807923/663552, 
  46068203/82944, 1195/128, 17/192, -265/48, -4423/384, -625/64, 17/64, 
  -107/16, 41/48, 113/12, 1/32, 6493/384, 37/64, -1529/512, -14263/1536, 
  2613/512, 2151241/12288, 237905875/1990656, 2100341/20736, 
  -99644533/221184, 764963329/3981312, 16068469/110592, -117627985/331776, 
  -52272271/82944, -23864947/663552, 46074683/82944, 47/16, -1099/384, 
  -809/512, -777/512, -379/512, 2151241/12288, 281461843/1990656, 
  2453285/20736, -99696373/221184, 734647297/3981312, 16021813/110592, 
  -117627985/331776, -54117343/82944, -23642035/663552, 46074683/82944, 
  -457/128, 599/64, 447/128, 17/128, -47/128, 2071177/12288, 
  240938515/1990656, 2094509/20736, -97841653/221184, 747949441/3981312, 
  15975157/110592, -115264081/331776, -52055191/82944, -23849395/663552, 
  46024139/82944, -353/96, 1183/384, -345/128, -51/32, 323/128, 
  -2071177/12288, -237466963/1990656, -1918325/20736, 98165749/221184, 
  -732649729/3981312, -15963061/110592, 113252689/331776, 51761071/82944, 
  28462003/663552, -45514811/82944, 3017/576, 407/576, 5/4, -197/36, -103/64, 
  2071177/12288, 241061203/1990656, 1006841/20736, -98172853/221184, 
  551558785/3981312, 15738469/110592, -113346001/331776, -51771007/82944, 
  -28729555/663552, 45510923/82944, -533/96, 16997/384, -245/288, 7055/1152, 
  1325/1152, 2071177/12288, 237466963/1990656, 1891577/20736, 
  -99044533/221184, 734868481/3981312, 16311541/110592, -113335633/331776, 
  -51766255/82944, -27508723/663552, 45529067/82944, -7037/1152, 725/768, 
  2327/1152, 13829/2304, -1955/2304, 2071177/12288, 238337875/1990656, 
  1917677/20736, -98513461/221184, 733710721/3981312, 16205845/110592, 
  -113335633/331776, -51807727/82944, -28638835/663552, 45529067/82944, 
  -3433/1152, -1505/576, -2551/384, 7231/1152, 389/128, 11/32, 1051/288, 
  5255/128, -823/576, 72427/2304, 329/1152, -267/64, -18191/2304, 7625/1152, 
  789/128, -4349/576, -86377/2304, 27773/2304, 337/128, -14483/2304, -11/32, 
  -37/64, 112103/2304, 25/144, -345061/6912, -2071177/12288, 
  -133925203/1990656, -828065/20736, 98116981/221184, -756827905/3981312, 
  -15971701/110592, 112841137/331776, 47944423/82944, 44873299/663552, 
  -49581119/82944, -2071177/12288, -135984979/1990656, -866945/20736, 
  98069749/221184, -756917761/3981312, -16301749/110592, 104344273/331776, 
  49142701/82944, 69111379/663552, -43186997/82944, 73/36, 2485/576, 605/576, 
  -29/64, -2071177/12288, -158012947/1990656, -4455229/41472, 
  97951093/221184, -909026113/3981312, -15960181/110592, 104344273/331776, 
  51687883/82944, 82527955/663552, -43186997/82944, -83243/2304, 
  -1360967/13824, -140617/1152, 271291/2304, -47/192, -25/4, -29/96, -29/192, 
  3887/384, 1/12, 109349/2304, 73/576, 5531/576, -13/18, 23173/768, 
  -1487/576, 1/24, 303/256, 95/64, 1/8, 2999/768, -2177/256, 9/4, -11233/768, 
  -19/8, -35/512, -10, 739/1536, 16601/512, 67667/1536, 115/16, 843/128, 
  -1/24, -343/192, -3915/256, -2425/768, 497/384, 99/16, -2197/1536, 
  10479/512, -27413/768, -2157/256, 463/768, 2499/256, -645/128, -3565/1536, 
  157/128, 61/256, -79/32, -39/32, -465/256, 287/64, 19/8, 457/128, 1623/256, 
  21/16, 53/256, 321/128, 57/128, -753/128, -99/16, -641/128, -155/64, 
  -57/128, 19/16, 645/128, 741/256, -157/128, -595/512, -245/128, -13/64, 
  -7/2, 493/128, -19/8, 411/512, 121/64, 435/64, 319/512, -93/256, -411/512, 
  -45/8, -805/256, 595/512, 647/256, 115/64, 1541/512, -71/32, -951/512, 
  -1253/256, 725/512, 805/256, -157/256, 157/128, -157/256, 2055241/12288, 
  -209591029/1990656, -1345/192, -688131/4096, -555044077/995328, 
  -271604053/3981312, 99507445/221184, 1447069555/3981312, -16478005/110592, 
  -7652329/110592, -271/72, 171479041/331776, 1093530431/1990656, 
  -1268170267/1990656, 4009/144, -323333639/497664, -363374569/2985984, 
  775091257/11943936, 585081683/3981312, -4803296579/5971968, 
  -752900071/11943936, 2206369151/2985984, 3168089779/1990656, 
  -2422488763/1990656, -3340944295/1990656, 616100903/497664, 
  1008497083/2985984, -2256208681/5971968, -1606283531/1492992, 
  2324918305/995328, 726811735/1492992, -475/128, 5/384, 499/64, 1311/128, 
  4027/384, 1, 283/64, 961/128, -715/64, 31/32, -3751/384, -7/2, -9/32, 
  -141/64, 57/64, -11815/768, -615/64, -229/32, 3129/256, 19/8, -321/128, 
  849/32, 491/256, -375/64, 1229/256, -639/64, -61/16, -661/128, 157/128, 
  2071177/12288, 237466963/1990656, 1918325/20736, 2066953/12288, 
  -321547045/995328, 1089597889/3981312, -97844149/221184, 
  1322999797/3981312, 15952693/110592, -113314897/331776, -52142095/82944, 
  -113030641/331776, -146367353/221184, -30857587/663552, 45815483/82944, 
  45378947/82944, -6245627/36864, -246754963/1990656, -979273/10368, 
  97583413/221184, -719103937/3981312, -16276693/110592, 111869281/331776, 
  52373503/82944, 28889683/663552, -45710399/82944, 1123/384, -397/768, 
  253/64, -5285/768, -79/64, 875/864, 0, -1741/864, 1393/864, 1363/864, 
  -13435/384, -84569/2304, -11/32, 6869/3456, -2573/1728, 14383/288, 
  111725/6912, -2317/1728, 115/64, 1639/864, -1765/288, -19/8, -30695/2304, 
  -75089/864, -117887/1728, -1334321/41472, 21/64, -73/128, 61/16, 
  181955/2304, -157/128, -10/3, -20/3, 0, -17/36, 59/144, -20, 0, -253/64, 
  -253/64, -3/8, 1829/2304, 2981/2304, 3/16, -157/144, 24, 3/4, -1/4, 41/144, 
  -1/24, 1/3, 10/9, -7/24, 0, 10, 53/144, 0, 53/144, 53/144, 0, 2117/2304, 
  -163/144, -169/36, 0, 1507909/13824, -65/9, -7/72, -7/72, 0, 0, 0, -1/8, 
  -241/36, -246114829/41472, 244204813/41472, 244717453/82944, 
  -251168653/82944, -241132429/82944, 244989325/82944, -244104589/82944, 
  227/18, 0, 181/64, 0, 0, 0, 1409/576, 0, 141/64, -77/144, 1541/2304, 
  -163/144, -3/16, -2261/2304, 299/144, 83/48, 50/9, 19/12, 7/16, -269/18, 
  -1714501/13824, 80/9, 113/16, -244200781/41472, -244200781/41472, 
  -244200781/41472, -244200781/41472, 1, 139/36, 139/36, -11/4, 3/4, 3/4, 
  3/4, -3/8, 3/8, 3/8, 3/8, 0, 0, 0, -244200781/41472, -244200781/41472, 
  244195597/41472, -1/8, 245003149/165888, 246791053/165888, 
  240883597/165888, -247611277/165888, -241602445/165888, 246141325/165888, 
  -242634637/165888, -244229005/165888, -229/64, -229/64, -21/8, -3, -21/4, 
  -13/2, -253/32, -421/64, -309/64, -965/2304, -965/2304, 1/2, 2693/2304, 
  1541/2304, 3/16, 2405/1152, 0, 3/2, -3/4, -3/4, -13/16, 1452997/13824, 
  1452997/13824, -143/36, 0, 246652813/27648, 0, -245791117/27648, -377/24, 
  9/8, 0, -37/64, 9/8, 9/8, -2693/2304, -1/4, -199/144, 9/8, -235/24, 
  -1507909/13824, -17/8, 37217/288, 761/48, 246047725/41472, 
  -245277901/82944, -1451/288, -1075/48, -2377/48, -245324557/41472, 
  244491661/82944, -113/12, 229/64, 3/4, 21/8, -761/576, 0, 13/2, 27/8, 
  437/64, 33/8, 77/144, 2693/2304, 1/2, 199/144, -2549/2304, -3/16, -163/72, 
  -1/4, -7/3, -59/48, 67/24, -205/72, 9/8, -1/12, -1207813/13824, 521/24, 
  -17/8, 244200781/41472, -473/144, -17/8, -562/9, 1427/72, -14111/72, 
  -2551/144, 1/16, -9367/144, 2311/144, 1571/48, 5749/72, -271/24, 601/9, 
  25175/144, 227/108, 8489/864, 1721/288, -109/72, -13019/432, -3263/144, 
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  -709/288, -251/48, 1801/432, 11/4, -3/4, 0, 11/2, 29/16, -1/16, -5/8, 1/2, 
  53/128, -1/32, -69/128, 15/16, 39/8, -1/4, 1/8, -1/16, -3/2, 1/8, 77/32, 
  -3/16, -3/16, -5/8, -3/2, -23/8, 0, -3/4, 3/8, 23/16, 3/2, 95/32, -255/128, 
  -49/32, 199/128, 67/24, 1/24, 0, 89/24, -41/48, -61/48, 0, 2/3, 0, 0, 0, 
  5/6, -10/3, -13/48, 0, 77/24, 1/4, 67/24, 0, 1/4, -239/48, 5/48, -11/3, 
  2/3, -5/12, 25/8, 89/24, -7/8, -65/16, 121/24, -29/48, -59/48, -209/48, 
  3/4, 0, -1/8, 0, 0, 9/16, 0, -9/16, 0, 0, 0, 5/16, 0, 5/16, 1/4, -11/16, 
  -5/16, -25/48, 11/16, 37/48, -5/16, 1/2, 1, -3/4, 0, 65/96, -25/16, 19/48, 
  -413/96, -9/32, -59/24, 9/32, 3/2, 17/32, 167/48, 139/96, -1/8, -3/4, 0, 
  -121/96, 27/32, -29/96, 227/96, -5/8, 1/64, 13/48, -145/192, 3/4, 7/12, 
  -1/32, 11/32, -121/192, 0, 0, -11/64, 1/8, 1/64, -9/32, 0, -1/8, -25/64, 
  7/64, -5/32, 15/64, -1/16, 35/64, 3/32, 1/4, -7/64, 5/32, -17/64, -7/64, 0, 
  0, -3/32, 11/16, -7/32, 3/16, 9/32, -3/32, 1/32, -5/8, 3/16, -1/16, 3/32, 
  1/8, 1/16, 0, 7/64, 1/16, 0, 27/64, -3/64, 5/16, -5/64, -1/16, -1/64, 
  -1/64, 19/72, -313/1296, -19/48, -3221/2592, -1145/324, 523/864, 
  -4543/2592, 2665/864, -61/144, 79/27, 89/144, 5521/2592, -7789/1296, 
  -37/12, 397/72, 2177/2592, -167/48, -18245/2592, -55/648, 22469/5184, 
  -29/36, -95/648, 19837/2592, -22201/5184, -5051/2592, 5/32, 1/4, 11/8, 
  3/32, 65/32, 21/32, -13/32, 0, -5/32, 0, -3/8, 1/8, -5/32, -1/16, -53/64, 
  -97/64, 1/32, 11/8, 3/32, 7/32, 19/32, 9/64, 1/16, 1/64, -21/16, -5/64, 
  11/64, 3/64, 0, 0, -11/16, 31/24, 65/24, -85/96, -23/48, -211/96, -5/48, 0, 
  5/8, -79/24, -77/96, 35/16, -1/8, 27/16, 0, 3/64, -1/16, -109/96, 163/64, 
  51/32, -1/32, -9/16, -125/192, 1/4, -3/64, 5/64, -259/192, 7/64, -5/64, 
  5/48, 35/96, 11/16, 49/96, 103/96, -23/96, -161/288, -5/8, 5/48, -325/288, 
  23/96, 1/8, 61/288, -5/48, -29/96, -23/32, -35/96, -5/8, 9/32, -1/16, 1/32, 
  -11/32, 0, 0, 0, 0, 0, -5/6, -8/3, -1/2, 3/2, 0, 0, 4, -13/2, -7/2, -7/2, 
  -1, 0, 0, 1/2, -1/2, 0, -1/4, 3/4, 0, 0, 0, 0, 0, -16, -13/2, -3/2, 1, 0, 
  0, 0, -35/4, 0, 1/2, -7/16, 0, 0, -2/3, 103/48, -13/32, -37/32, -1, 7/8, 
  21/16, -3/8, -3/8, 11/16, -11/8, -77/96, 73/32, 1/2, -7/16, 3/4, -33/16, 
  97/24, 17/48, -19/4, 21/32, 3/8, -3/4, -7/8, -1, 1/6, 65/12, -7, 3/2, 
  -11/12, -19/6, 1/2, -1/8, -15/8, 1/8, 7/8, 9/32, 29/4, 81/128, 1/32, 
  -61/128, 9/32, 65/8, 81/128, 1/32, -61/128, 27/16, 0, -501/64, -1/16, 
  401/64, -9/16, 23/12, -1/4, 9/32, 1/8, -37/48, -3/16, 0, 9/32, -1/4, 
  -21/16, -3/16, 1/8, 9/8, 131/96, 31/24, -7/3, -119/96, -3/4, 0, 0, 9/8, -1, 
  0, 0, 0, 0, 0, 0, 0, 45/4, 25/2, -33/4, -25/2, 7/8, 1/2, -3/8, -2, 1, 1/6, 
  -1/2, 0, 0, 0, 0, -1/2, 2, 87, 13871/48, -511/3, -1513/48, -230/3, 
  -5893/32, 2389/24, 989/144, 71/8, 39/8, -1/4, -13/4, 79/6, -7/12, -69/8, 0, 
  27/4, 0, -67/12, -25/8, -37/32, 65/32, 93/64, 5/108, -1243/864, -2663/1728, 
  -95/216, 0, 199/96, -87/64, 191/32, 257/96, 1/64, 0, 5/16, -235/96, 0, 
  -199/96, 5/16, -13/32, 61/24, 39/64, 419/216, -17/36, 35/27, 17/216, 
  -29/72, 275/216, 695/216, 329/48, -211/432, -1085/432, -69/64, -67/16, 
  -7/2, -13/32, 51/16, -33/64, 33/16, 31/8, -29/32, 0, -43/64, -81/64, 
  -23/16, 17/16, 39/64, 3/4, 29/96, 7/16, -731/96, -33/32, 107/96, 9/32, 
  -3/2, 59/32, -3/64, 175/96, 0, -51/16, -449/192, 1/2, 0, 67/36, -7/12, 3/8, 
  -8/3, -1/8, -25/12, 13/16, 3/2, 1/16, 1/8, -5/16, -11/32, -67/48, -37/64, 
  3/16, 23/64, 1/8, 3/4, 65/64, -7/64, -7/16, 187/96, 95/36, -91/24, -49/6, 
  43/16, 31/64, 123/32, -7/64, 241/64, -29/64, -5/16, 11/64, -1/32, -35/8, 
  -33/64, -5/64, 1/64, 17/32, 3/32, 199/96, 11/6, -133/96, -19/32, -607/192, 
  -7/32, 15/64, -73/48, 7/64, -5/64, 1/8, -41/192, 0, 0, 0, 277/192, 569/72, 
  211/96, 3155/216, -1837/144, -29/48, -5, 1327/216, -3/4, -5/12, -5537/432, 
  -523/108, 1913/216, 2131/432, 3/32, -13/32, 19/16, -13/32, -1/16, -3/16, 
  5/8, 1/4, -1/8, -3/64, 105/64, 7/16, -9/16, -7/16, 0, -9/32, -5/16, 
  -215/96, -5/48, 0, 1/2, 215/96, -7/32, 0, 41/64, 149/96, -37/64, -23/64, 0, 
  -103/48, -13/4, -1/8, -11/16, 0, 25/12, 181/48, 5/8, -25/48, 103/48, 
  237/64, 1/2, -259/192, -29/64, -365/96, -29443/432, -3341/216, 
  -355549/1728, 7303/432, 51779/432, 1689/16, 10175/108, 5588/27, -3991/24, 
  1319/216, -46571/864, -13579/64, 47167/432, 1675/108, 1/12, -71/432, 95/54, 
  -1819/864, -1477/432, -2611/864, -13/16, -721/216, 3133/432, 1/24, -3/2, 
  -2/3, 5/6, 17/6, 17/6, 61/16, 71/48, -17/6, -37/16, 1/2, 15/16, -119/24, 
  7/16, 185/48, 0, -109/48, 547/144, -11/9, 11/24, -59/12, -349/32, 15/128, 
  385/96, 33/128, 0, -3/2, 0, 0, 1/8, -8, 111/8, 0, 4, 53/8, -2647/96, 
  -93/32, 7/2, 0, -35/4, 0, 0, 1241/576, -17815/1152, -3995/576, -1915/384, 
  39/4, 0, -5/8, 1, 257/48, 0, -1, -13835/288, -15743/144, 46687/576, 
  14327/576, 5/2, 4, 39/16, -1/32, 3053/192, 19/64, 121/96, -659/64, -331/48, 
  -4387/144, 433/8, -81/8, 39/64, 165/128, 1/16, 25/128, -21/64, -5/16, 
  -27/32, 0, 0, 1/4, -15/64, 0, -173/24, -47999/576, -3105/16, 1363/16, 
  2603/96, -9/16, 47/48, 37/24, 9/16, -385/64, -415/32, 451/96, -21/64, 
  -23/16, 1729/36, 13739/96, -3229/36, -23/18, 871/192, 2027/576, 33893/576, 
  -981/32, -15/16, 0, -3/16, 0, -565/24, -7043/96, 75/64, 153/16, 2319/32, 
  -49/192, -315/16, 0, 0, 0, 0, 0, -3/4, -3/4, 0, -3/2, -3/4, -3/4, -3/4, 
  -3/4, 0, -3/4, 0, 0, 0, 0, 0, 0, -3/4, -11/16, 0, -3/8, 0, 0, 0, -1/4, 0, 
  -1/4, 0, 11/16, 1/16, 0, -1/2, -3/4, 5/16, 0, 3/16, 0, -11/16, -3/16, 0, 
  -3/8, 0, 0, 1/8, -9/16, -13/16, -13/16, 0, -9/16, -7/8, -19/16, 3/16, -3/8, 
  -9/8, -3/4, 11/16, 0, 0, 0, 0, 3/16, 0, 0, -3/16, 0, 9/16, 0, 0, -9/16, 
  7/8, 5/2, 3/32, 0, -3/8, 0, -3/4, 11/32, 0, 0, -3/8, 1/4, 1/2, 3/32, -3/8, 
  -9/16, -3/8, 0, -5/16, 15/16, 29/32, 5/16, 1/8, -11/16, -3/4, 0, -7/8, 
  -3/4, -3/16, -3/8, 29/32, -1/4, 31/32, 19/32, 25/32, -17/16, -11/16, -3/16, 
  -9/32, 19/32, 9/32, 0, 1/8, -1/8, 19/8, 27/16, -19/32, 3/8, 9/16, 0, 29/32, 
  -1/4, -55/32, -1/2, 25/32, -3/32, -5/16, -1/8, -27/32, 0, -19/32, -11/8, 
  -29/32, 0, 1, 67/32, 27/16, 25/32, -9/8, 0, 0, -3/8, 7/8, -19/32, 0, 5/8, 
  7/8, 2, -27/32, 21/16, 33/32, -17/32, 57/128, -175/64, -267/128, -15/32, 
  -141/128, 35/64, 9/64, 47/64, -51/64, -13/128, -67/128, 87/128, 13/128, 0, 
  5/64, 9/64, 1/16, 0, 0, 7/8, -9/32, 131/64, -27/32, 39/64, -23/32, 57/128, 
  -169/128, -37/64, -15/32, -141/128, -9/256, 1/2, 3/32, 245/256, 27/32, 
  -13/128, -3/16, -201/256, 13/128, 9/256, 53/256, -99/256, 5/256, -21/256, 
  15/64, -3/4, 69/64, 37/64, 31/64, 3/128, 27/32, -29/128, -31/64, -23/32, 
  -185/128, -11/64, -1/32, -41/64, -33/64, 33/64, 47/128, 17/32, 27/64, 
  57/128, -1/16, 25/32, -9/64, -41/32, 0, 7/8, -21/64, 2, -21/64, 105/64, 
  33/64, 3/32, -17/32, 3/16, -63/32, -131/64, -33/64, -21/32, -7/32, 17/32, 
  -5/64, -21/64, 1/4, -23/32, -21/32, -37/256, 43/128, 7/128, 461/256, 7/8, 
  5/8, -171/256, 5/64, -35/64, 9/64, -7/128, 37/256, -39/128, 35/256, 0, 
  -7/128, 0, 0, 0, 1/2, 1/3, 0, 0, -3/4, 0, 9/4, 0, -3/4, 0, 3/4, 3/4, 0, 
  3/4, -11/12, 1/6, 13/4, 13/6, 0, 0, 0, 0, -3/4, 0, -3/4, -3/4, 0, -37/6, 
  73/6, 3, -3/4, 0, -3/8, 1/4, 3/8, 7/8, -3/4, -3/4, -5/8, 0, -1/2, 0, 1/2, 
  -3/4, 1, -1, 3/4, 3/4, 7/4, 0, 0, 11/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -85/32, 35/32, 117/32, -1565/192, -1547/192, 469/96, 1889/192, 403/192, 
  707/192, 109/48, 347/48, -19/12, 695/192, 103/64, 227/96, 379/192, 77/32, 
  -51/32, -77/32, 0, 1/8, 0, 11/16, 67/32, 0, -1/4, 77/32, 67/32, 1/4, 0, 
  -3/2, -1, 0, -1/8, -3/8, 0, -11/8, -23/16, 11/8, 5/16, 3/4, -5/8, 0, 3/4, 
  33/16, 11/8, 0, -49/16, -1, 13/16, 27/8, 787/72, -455/48, 2195/144, 601/72, 
  47/18, -679/432, 19/24, -437/288, 31/72, -553/48, -3/2, 67/144, 2093/288, 
  -275/864, -1/8, -1/8, 1/4, -5/16, -19/32, -23/16, -3/4, -1/2, 1/32, 85/24, 
  -1/4, 0, -5/8, -1/4, -1/16, 21/16, -111/32, -5/96, -1/2, -11/16, 5/16, 3/4, 
  -9/8, 1/2, 1/2, -1/4, 31/24, 0, -3/2, -7/4, 3/2, -1/8, 7/8, 29/36, -15/8, 
  -9/4, 8/9, 31/18, -353/144, -1/4, 2/3, 28/9, 5/6, -143/48, 0, 0, 0, -19/8, 
  -7/16, 19/8, 0, -85/32, -1531/192, -1021/192, 85/32, 181/96, 291/64, 37/48, 
  37/48, 3/16, 85/32, -235/48, 949/192, 1871/192, 51/32, 0, -205/32, 3/16, 
  159/64, -31/96, 51/32, 229/96, -61/24, 45/32, 0, 215/48, 1061/192, 3/4, 
  -165/64, -3/4, -619/192, -443/64, -55/192, -73/192, -751/96, -113/192, 
  2087/192, -65/12, -217/32, -295/256, -225/256, 0, 0, 0, 71/64, -1/16, 1/8, 
  3/32, 103/128, 1/128, -61/64, 71/64, -109/256, 13/128, 1/32, 0, 103/128, 
  213/128, 143/128, -61/64, 71/64, -99/64, -521/256, 13/128, 101/64, 
  -179/256, 3/8, 355/256, 9/8, 75/32, 501/256, 179/256, -95/128, -505/256, 
  5/256, 47/128, 0, -1, -1/8, 5/8, 0, 0, 33/32, 5/32, -3/4, 51/32, -33/32, 
  -57/32, 33/32, -39/32, -39/32, 9/4, 39/32, 7/8, 3/16, -11/16, 1, -3/16, 
  -107/32, -9/4, 23/32, 21/32, -1/8, -39/32, 125/32, 39/32, 0, 0, 787/72, 
  431/144, -961/216, -14561/1728, 1249/432, -259/81, 5213/2592, -3731/648, 
  -181/2592, 1249/432, 23321/2592, -7765/1296, -25231/2592, 127/72, 
  -4471/2592, 3773/1296, -76277/5184, -31/72, 4687/5184, -30307/2592, 
  -10079/2592, 8587/5184, 1273/216, -3689/1728, -4, -199/81, 947/1296, 43/16, 
  -185/48, -1/4, 75/16, 19/4, 3/16, -755/192, -7/64, -297/512, -23/128, 
  -135/512, 419/192, 233/64, -31/32, 11/16, 0, -465/64, -3/16, 203/64, 57/64, 
  -263/192, -11/8, -127/64, -673/192, -9/32, -7/16, 151/96, 295/96, -1/8, 
  719/192, 103/32, -33/512, -1135/384, 929/512, -19/36, 11/9, -1/16, -331/72, 
  389/288, 5/9, 1/16, -149/288, 0, 5/8, 17/16, -14/9, 2249/576, 49/72, 
  -17/16, -1925/576, -13/8, -4585/576, -7/16, -33/16, 1589/288, 7/18, 7/9, 
  -337/144, 97/144, -187/48, -2693/576, 211/96, 1039/192, -449/72, 53/288, 
  305/288, 5467/576, -25/24, -1/48, 0, 0, -11/48, 0, 11/48, 0, 0, 0, -1/6, 0, 
  -1/6, -187/48, 1/24, 1/6, 205/64, -1/24, -59/192, 1/6, 49/8, -19/48, 
  -107/48, 1/16, -587/288, 57/32, 0, -353/288, 4795/576, 33/64, 3265/576, 
  -33/64, -17/8, -815/576, -2731/288, -265/48, 9/16, 905/576, -1/16, 623/144, 
  -467/192, 389/288, -3595/576, 21/32, 11/256, -2159/576, 3553/2304, 
  -233/144, -659/288, -163/192, -9/64, 7355/2304, 0, 0, 27/256, -9/64, 
  69/256, 33/64, 3/32, 9/16, 123/256, 285/256, -3/64, 33/256, -67/64, 
  -199/256, -43/32, 13/32, -285/256, 1/16, 71/256, 293/256, -1/64, 1/32, 
  5/64, 7/8, -7/16, 27/16, -33/64, 23/32, -61/128, -5/8, 57/128, -77/64, 
  -23/32, -9/16, -23/64, -1/32, -27/256, 5/8, -23/64, -305/256, -105/256, 
  -17/16, 177/256, 23/64, 7/256, 7/256, -565/432, 24443/7776, 0, 127/72, 
  25975/3888, -76267/15552, -65261/5184, -225865/15552, 4525/5184, 
  19249/15552, -3901/1296, -14879/5184, -2135/10368, 527981/31104, 
  -4201/1296, 5705/1944, 12101/15552, 1073/192, 50207/7776, 109769/31104, 
  -145063/62208, -61997/7776, 121487/31104, -220741/31104, -72835/6912, 
  -53893/31104, -49/128, 239/384, -1/8, 285/128, 817/384, 3/16, 43/32, 
  185/128, -29/16, -79/128, -767/192, -1, -13/32, -141/128, -7/64, -1393/768, 
  -151/128, -5/8, 197/256, 27/32, 11/64, 575/128, -93/256, 13/128, -19/256, 
  -227/256, -99/256, 5/256, -21/256, -1/16, -5/32, -7/8, -97/144, -571/1152, 
  181/144, -79/288, 2267/1152, 37/144, 1/4, 23/32, 301/576, 35/576, -167/128, 
  15/32, -301/192, 1/16, -177/256, -9/16, 2501/1152, -311/768, -329/128, 
  119/64, 2, -8033/2304, -225/128, 217/256, -275/256, 3863/2304, 49/256, 
  259/256, -1/288, -535/576, 7/8, -569/576, 535/576, 355/576, 13/384, -17/32, 
  -1/288, -1391/1152, -355/576, -21/32, 71/384, 1/288, 111/64, -21/64, 
  559/576, -301/288, -33/64, -29/36, -35/64, 9/64, 0, 41/3, 0, 0, -12, -3/8, 
  3/4, -3/8, -43/24, -47/24, 0, 13/8, 13/6, 3/8, -319/48, 209/24, 1/4, -1/2, 
  1/2, 11/12, -1/8, 0, 3/8, -35/24, 0, -3/8, 7/24, -4, -1/4, 0, 0, 0, -9, 
  371/24, -85/24, -85/24, -3/2, 0, 3/8, 3/2, -3/4, -1/2, 3/4, 0, 0, 0, 0, 
  -19/3, 33/2, -13/6, 221/24, -1/8, -3/4, 0, 0, 0, -23, 0, 185/8, 0, -187/4, 
  -3079/1152, -2113/768, -317/96, 7/8, 2/3, 9/8, 109/96, -769/128, -509/384, 
  529/192, -5383/1152, -679/144, -14605/1152, 31/8, -149/64, -187/64, 1/4, 
  71/384, 71/384, -1661/384, 1157/192, 529/192, -399/32, -5/4, 7/8, 1/32, 
  111/32, 1, -205/32, -3569/1152, 7145/576, 2783/1152, 95/48, 3/16, 1957/384, 
  -173/64, 69/16, 477/64, 5/4, -1247/72, 103/9, 15/2, 3851/864, 1421/288, 
  -439/144, -377/36, -2095/288, 157/12, -385/32, -197/32, -233/128, -1151/48, 
  963/512, -149/128, -1311/512, -233/128, -205/12, 291/512, -149/128, 
  145/512, -449/192, 7/24, 3559/256, 401/64, -2491/256, 19/64, -997/144, 
  3/16, -19/128, -1/8, 887/576, 149/32, 1/32, -19/128, -1/16, 347/96, 149/32, 
  55/32, -19/32, -1645/1152, 17/36, 5783/576, 2005/1152, 3/8, 1/8, 0, -27/16, 
  45/32, 0, 35, 43/12, 1/4, 191/18, 1271/72, 995/432, 953/48, -19/8, -359/48, 
  -311/9, -73/96, -17/16, 3/32, 27/8, -5/2, 14/9, 3/2, -1, -1/2, 3/4, 0, 0, 
  -1, -3/2, 951/2, -33763/288, -3207/16, 52967/288, -30293/144, 16133/192, 
  4003/72, 175/6, -43/4, 63/16, 3/2, -143/32, 6973/576, -2797/288, 1103/192, 
  0, 1283/192, 0, 1279/576, 1189/64, 5827/1152, -9883/1152, -13841/2304, 
  -2053/1728, 9709/1152, 22853/6912, -4079/6912, 3/8, -4205/1152, 457/96, 
  -5119/384, -11467/1152, -1403/192, -19/16, -3/8, 841/144, 7/16, 5825/1152, 
  -137/96, 1691/384, -7325/1152, -61/48, -167/216, 8105/864, 4405/1728, 
  737/96, -2945/864, 23/96, -43489/3456, -53863/1152, 937/54, 80221/3456, 
  265/128, 4547/384, -29/4, 703/128, -1247/64, -557/192, -245/64, -1045/576, 
  4021/1152, -97/192, 4079/768, 3131/384, 1071/256, -2483/576, 1973/768, 
  3/16, 211/384, -23/16, 3925/384, 85/576, -165/128, -121/32, 183/64, 
  -269/576, 511/384, -1051/384, 7/8, 4651/576, 5759/768, -25/32, 0, 
  -1363/192, 191/144, -11/48, 5197/576, 1/6, 9913/1152, -227/288, -151/32, 
  -37/48, 263/384, 9/32, -17/64, 751/1152, 499/256, -45/16, -1357/768, 
  163/384, -95/64, -815/256, 37/768, 79/64, -725/1152, 160/27, -1115/432, 
  6307/432, -13909/1152, -4589/768, -4853/384, -339/256, -1945/256, 365/256, 
  65/16, -359/256, -9/16, 3085/384, -609/256, 849/256, 277/256, 43/64, 
  -11/64, -2009/1152, -2083/1152, 2417/1152, 479/128, 15173/2304, -31/16, 
  -251/256, 4267/1152, 525/256, 255/256, -11/12, 937/768, 0, 0, -3/8, 
  -67157/2304, -2399/216, 16595/576, 50389/2592, -53/1728, 4429/576, 
  18751/864, 20357/2592, 865/432, 3271/576, -54469/5184, 61063/5184, 
  -80131/5184, -36557/2592, 33/128, 51/128, 5/192, 63/64, 61/32, 69/64, 
  -713/192, -57/32, 33/32, 21/256, -15/64, -39/32, 9/4, 39/32, 17/96, 21/64, 
  -37/144, 1625/1152, 37/144, -11/32, -389/128, -1409/1152, 347/128, -17/96, 
  -137/256, -2557/1152, 2113/768, 53/256, -1751/1152, -121/384, 1/24, 
  -9277/1152, 0, -637/384, 173/192, 8809/1152, -27/128, 1751/1152, -179/256, 
  1039/384, -8713/2304, 779/768, 15173/576, -410311/2592, 40327/1296, 
  2860085/10368, 1270595/5184, -15607/648, 235603/5184, 1147693/2592, 
  -1030393/5184, -498103/2592, -88973/1296, -3419293/10368, 630071/10368, 
  298507/1728, 564395/10368, -287/144, 1879/648, 13519/648, 93347/5184, 
  28459/1296, 5147/5184, 35837/5184, -25471/2592, -176975/5184, -4925/2592, 
  1/4, 7/36, 7/36, -697/288, -625/288, -563/192, -1657/576, 625/288, 515/192, 
  1/4, -1/4, -1/4, 1/4, -239/192, -1897/576, -3433/1152, 209/192, 2107/1152, 
  9/32, 629/384, -11/1152, -3997/1152, 157/192, 239/72, 875/96, -9689/1536, 
  -2933/1152, -10583/1536, -3/4, 23/8, -1/2, 15/8, 7/16, -4981/96, -389/96, 
  0, -5, -4033/12, 82495/288, -1/16, 747/128, 383/32, -3/2, 17/24, -3/16, 0, 
  3953/3456, 822763/13824, 17281/864, 136013/4608, -12311/384, 53/48, 5/32, 
  9/8, -8/3, -221/72, 1/4, -5/12, -1340407/6912, -100817/3456, 32567/3456, 
  -43081/3456, 35/16, -125/32, -411/64, -2531/384, -5983/288, -2213/384, 
  8789/288, 38395/768, 9821/576, 1903/864, -24397/144, 34397/1152, 1315/256, 
  -1449/512, -663/128, 743/512, -823/768, 3/8, 121/16, -5/64, 0, -785/192, 
  1185/256, 0, 48469/288, -907883/6912, 5167/3456, -91043/384, 821317/3456, 
  -553/64, -1087/1152, 9155/1152, 569/64, 1/4, 789/256, 5759/384, -8107/288, 
  737/768, 1243/384, 366953/864, -23611/576, -115735/432, -165487/864, 
  -124505/2304, -337981/2304, -425737/6912, 3973/54, 1/4, -1/4, -1103/128, 
  -7/16, 105/64, 0, 17647/192, 137203/384, 49/8, -4035/64, -2204929/2304, 
  -37673/256, 1349/16, 0, 0, 0, 0, 0, 1/8, 1/8, 0, 1/4, 1/8, 1/8, 1/8, 1/8, 
  0, 1/8, 0, 0, 3/32, -3/32, -3/32, 9/32, 0, -43/64, 11/64, 0, 0, -1/16, 0, 
  -7/16, -15/64, 0, 1/8, 1/8, -1/2, -5/64, 31/64, 1/4, 0, -3/16, 25/32, 3/32, 
  1/32, 0, -7/64, 0, 15/64, -31/64, -11/32, 0, 3/32, 27/32, -35/64, 1/2, 
  31/64, 41/64, -29/64, -11/32, -3/32, -3/32, 9/8, 0, -5/8, -1/8, 35/64, 
  1/32, -41/64, 13/64, -3/32, 45/64, 35/64, 0, -55/64, 0, 51/64, 17/64, 0, 
  -17/64, 67/64, 3/32, 1/2, -25/32, -11/16, 17/64, 23/64, 15/64, -7/8, 
  -23/64, -5/32, 29/64, 39/64, -19/16, 15/64, 37/64, 43/32, 9/16, 0, 0, -1/2, 
  0, -1/8, 5/32, -3/32, 5/16, -61/128, -1/4, 1/4, 5/32, -3/32, 37/32, -3/4, 
  -1/32, 25/128, -71/64, -27/64, -5/32, 25/64, 5/64, 3/8, 0, 87/64, 19/64, 
  -3/16, -1/4, -5/64, -53/64, 17/64, 9/16, -149/64, -3/32, 1/2, -3/64, 3/32, 
  5/64, 21/32, 59/64, 25/64, -103/128, -5/64, -15/16, -25/64, 37/64, -23/32, 
  -3/32, 19/32, 65/64, 3/32, 79/64, 61/64, -75/64, -43/64, -41/128, 5/32, 
  -3/16, -1/64, -7/64, -11/16, -11/32, -7/32, -3/64, 3/8, 3/32, 13/64, 21/16, 
  -57/64, -1/32, -125/128, -11/32, -1/4, 1/4, 5/8, 5/16, -3/16, 37/32, 47/64, 
  -35/64, -1/32, -43/64, 5/32, 1/32, 131/64, -15/64, -17/16, 1/8, -3/8, 
  -37/32, -1/4, 9/32, -1/64, -31/32, 25/64, 19/64, -97/128, 5/32, 1/32, 
  29/16, 5/64, 1/32, 11/32, -3/8, 1/32, -1/8, 9/32, -1/64, -13/8, -47/64, 
  9/64, 17/128, -3/4, 1/2, 3/32, 37/32, -1/32, -275/128, 0, -27/16, 9/8, 
  -29/16, -5/4, -7/32, 1/32, 25/16, 5/8, 19/32, 9/16, -81/64, -27/64, -17/32, 
  73/32, -13/16, -1/64, 143/64, 53/32, 0, -61/64, -57/32, -59/64, 61/128, 
  5/32, 3/32, -33/16, 9/8, -19/16, 5/32, 1/32, 73/32, 17/16, 19/32, 9/16, 
  73/128, -15/8, -17/64, -311/128, -5/8, -13/16, -153/64, -79/128, 53/32, 
  -73/128, 29/64, 53/64, 191/128, -61/128, 3/8, 99/64, -3/4, 15/32, 51/64, 
  1/32, -73/64, 5/32, 5/32, -29/64, 0, -1/32, -29/64, -3/4, 5/8, -69/64, 
  -5/8, -7/64, -87/64, 25/32, 9/4, 5/64, -41/128, 53/64, 103/64, -61/128, 
  -5/64, 0, 27/64, -103/64, 1/2, -143/64, -5/8, -3/32, 1/32, -3/32, 51/64, 
  89/64, 5/8, 7/8, 43/32, 15/32, 5/64, -43/32, -1/2, 35/32, 93/64, -31/128, 
  -21/64, 5/64, -189/128, -93/64, -81/64, -163/128, 0, 111/128, -167/128, 
  -5/64, 23/64, 167/128, 103/128, 61/128, -61/128, 0, 0, 0, 0, 0, 0, -23/9, 
  -1/4, -1/6, 0, 0, 1/8, 0, 101/9, -11/18, -61/24, 13/9, 4/3, -59/8, 505/72, 
  391/72, 391/72, 215/36, -817/144, -673/144, 3/16, 0, -3/16, 3/16, 0, -5/16, 
  -3/16, -1/16, 0, -3/8, -3/16, -3/8, -1/8, -3/4, -9/16, 0, 1/4, 0, -1/4, 
  9/8, 0, -1/4, -5/4, -1/2, -1/4, -1/2, -5/4, -3/4, -9/8, 0, 0, 0, 61/48, 
  23/9, 0, 0, 0, -3/8, 0, -3/8, 5/24, -1/12, -29/24, -3/4, 0, 0, 0, 0, 1/8, 
  0, 1/8, 1/8, 0, 17/4, 61/36, -95/6, -92/9, -71/8, 195/8, 109/9, -137/72, 
  -455/72, -377/48, 3/16, 9/16, 0, 3/8, -3/16, -9/16, -3/8, 3/16, -1/16, 
  -3/4, 0, 0, 0, -1/2, 1/4, 0, 0, -1/4, -9/8, -7/4, -185/144, 61/48, 0, 0, 0, 
  0, 23/9, -23/9, 0, -1/8, -93/256, 205/128, -3/8, -1/8, -125/128, 0, 0, 0, 
  -3/32, 0, 0, -5/32, 13/9, -369/64, -1/9, 523/192, -3/8, 1/8, 43/128, 
  117/64, -33/64, -141/64, -5369/96, -22063/1152, 3/16, 21371/384, 10367/576, 
  5/64, -29/32, -5/8, 33/32, 0, -457/576, 3/8, 749/576, 0, 0, 0, 3/16, -3/16, 
  -3/8, 3/16, 3/8, 3/16, 1/24, 27/32, -9/8, -9/8, 2405/768, -1739/768, 
  -1739/768, 3/32, 11/16, -205/48, 689/768, -1/4, 3/32, 1409/768, 161/768, 
  689/768, -785/768, 173/128, 653/256, -159/128, -131/192, -281/256, -25/32, 
  13/48, 9/16, 773/768, -285/64, -901/768, -845/768, 155/48, 617/768, 
  -797/192, -1037/256, 71/48, 2551/768, -129/128, -33/64, 129/128, -1/4, 3/8, 
  0, 1/4, -1/4, -15/64, 0, -1/8, 109/128, -1/64, -67/128, 0, 43/64, 205/128, 
  -3/8, 109/128, 47/64, -67/128, -251/128, -5/64, 109/128, 15/16, 29/32, 
  -251/128, -9/32, 0, 3/4, -9/32, 9/32, -3/32, 35/32, -1/64, -19/32, 19/32, 
  3/16, 0, -17/32, 29/32, 7/16, -3/16, 77/64, -15/32, -3/32, 5/16, -1/8, 
  5/16, -7/32, -3/32, -3/32, 3/64, -15/64, 1/4, 0, -1/16, -3/64, 33/16, 0, 
  -1/4, -13/16, -125/4, -30409/144, -3607/384, 31459/1728, 637/72, 
  -6758491/31104, 62407/1152, 1424423/15552, -367/144, -309715/1944, 
  -1495193/20736, 26021/384, -5020937/31104, -1823/288, 2881943/31104, 
  1517681/31104, 455/384, -705383/3456, 12079/192, 754489/3456, 153079/5184, 
  6217/128, 534457/10368, 6451/192, -1307395/10368, -1714013/62208, 
  -943/1152, 184063/2592, 28951/576, -245759/5184, -11/4, -1574111/15552, 
  1492931/15552, 1706045/62208, -3511/288, 4982759/31104, -73/18, 
  -4866767/31104, 9797927/62208, -21661/288, -16201/3456, 49/36, 325205/3456, 
  -349/192, 21863/384, 1067/384, 10289/576, -3/16, 67/128, 3/32, -3/16, 
  117/64, -27/64, -135/64, -9/32, 443/384, -5369/96, -137/96, -22063/1152, 
  229/192, 21833/384, 65/32, 10289/576, 671/384, 33/8, 21995/384, 1079/384, 
  10559/576, 25/32, -67/128, 21917/384, 117/128, 647/36, 41/96, 117/64, 
  -577/96, -59/128, -141/64, 15/16, -107/128, -5417/96, 13/16, -21541/1152, 
  -165/128, 127/128, -3697/64, -319/192, -23791/1152, 95/96, -1/4, 
  -21371/384, 1/4, -10367/576, -979/1152, -5/64, -3/32, -3/16, 5/32, 1/8, 
  -5/32, -11/16, -23/32, 41/64, 21473/384, 7/24, 2471/144, 21401/384, 
  155/576, 83/72, -5/32, 84235/1152, -79/288, 11/32, -2075/128, 11/32, 
  -64243/1152, -13/6, -1337/72, 3265/1152, -29/32, -69/64, 269/288, 33/32, 
  17/16, 21/32, -65401/1152, -553/576, 109/96, 223/384, 0, -88495/1152, 
  -421/288, 59/24, 6019/288, 0, 131719/6912, 1/32, 23/18, 0, -61807/1728, 
  417667/20736, 0, 0, 0, -23/18, -1517/576, -11/72, -691/576, -23/18, 
  143695/3456, 11/96, 38503/2304, -1306333/20736, 0, 0, 14207/10368, 
  -133447/6912, 1/16, 133447/6912, 0, 119/64, 9/32, -368039/20736, 401/576, 
  0, 67/96, 0, -1109723/20736, 429691/20736, 87/64, -335/256, -683/256, 
  551/384, -4201/768, -373/192, 593/256, 3541/768, -39/64, 29/48, 667/256, 
  1669/768, -3/32, 0, 1861/384, 61/128, -793/256, -473/768, -5/4, 3707/384, 
  971/384, -37/128, -5/32, -889/768, -5467/768, 15/64, -203/128, -5/64, 
  157/128, -3081/256, -2853/256, 733/768, 19/768, 241/768, 697/256, 1261/128, 
  621/128, 5/64, 53/128, -1/4, 0, -5/32, 5/8, -63/64, -61/128, -5/64, 3/64, 
  33/64, -19/64, -41/64, -49/64, -27/128, -5/64, 21/64, -3/128, -227/128, 
  -61/128, -5/64, 3/64, 33/64, 65/128, -11/128, -49/64, -27/128, -5/64, 
  135/128, -11/32, -227/128, -77/64, -43/128, 3/32, -5/32, -57/128, -11/64, 
  -163/128, -7/128, 43/128, 25/32, 49/128, -121/128, -7/8, -11/16, 11/16, 
  29/32, -5/32, 3/16, -1/4, -13/32, -9/32, -61/128, -33/32, -89/64, 13/32, 
  105/64, -13/32, 37/32, 29/64, -7/32, -93/64, -33/128, 5/32, 15/32, 79/32, 
  3/64, -51/64, 1/64, 1/4, 55/64, -13/32, -37/64, -129/64, -7/32, -95/64, 
  -33/128, 455/384, -88663/432, 21191/324, 56555/576, 1586177/5184, 
  -2477/144, 185191/864, 276895/3456, -2021387/5184, -1409839/10368, 
  -428669/13824, -4744273/82944, -36629/4608, 40044089/248832, 
  90636899/497664, 5479/4608, -1782943/41472, 1579/128, -14017153/82944, 
  -2297/1728, -56017829/497664, 13916545/82944, 4393/6912, -428669/13824, 
  -44186945/746496, -689981/41472, 11074703/82944, -191088179/1492992, 
  -67363/13824, -1782943/41472, 345091/10368, 24225377/248832, -2297/1728, 
  -38446501/46656, 90944309/1492992, 24872725/46656, -44972609/248832, 
  -98474431/186624, 411365/13824, 73682173/746496, -453485/41472, 
  -2813803/27648, 128869741/1492992, -629/512, 779029/13824, -442793/10368, 
  -21075727/248832, -2389/1728, 6451789/23328, -99832795/1492992, 
  -23181607/93312, 42680191/248832, 46555319/186624, -440957/13824, 
  -73832245/746496, -13047161/124416, 2872123/27648, 38327291/1492992, 
  205/512, -5036003/124416, 1000217/15552, -21505613/248832, -411167/31104, 
  -265/128, 41/96, 63/32, 441/128, 683/192, -37/64, 141/64, -1/96, -237/128, 
  3/32, -419/128, -3/64, -561/1024, 713/256, -647/1024, -440957/13824, 
  -73558141/746496, -13409717/124416, 2876011/27648, 33685019/1492992, 
  69/512, -5036003/124416, 2044093/31104, -21495893/248832, -414083/31104, 
  -57/64, 5/6, 175/1024, 121/256, 265/1024, -440957/13824, -77807725/746496, 
  -13922933/124416, 2880331/27648, 37767419/1492992, 333/512, 
  -5036003/124416, 2249509/31104, -21466733/248832, -414083/31104, 37/32, 
  -35/16, -3/4, -1/32, 25/128, -415685/13824, -73797253/746496, 
  -13324181/124416, 2811211/27648, 36799307/1492992, 325/512, 
  -5337323/124416, 2012017/31104, -21578189/248832, -399503/31104, 167/192, 
  -475/384, 5/8, -5/96, -13/16, 415685/13824, 73628125/746496, 
  13036469/124416, -2808187/27648, -37674107/1492992, -325/512, 
  5514227/124416, -2000677/31104, 20813549/248832, 348473/31104, -725/1152, 
  409/1152, -27/64, 1049/1152, 21/32, -415685/13824, -73628125/746496, 
  -6028673/124416, 2797819/27648, 119808107/1492992, -241/1536, 
  -5514227/124416, 2531821/31104, -16110797/248832, -333893/31104, 2251/1152, 
  -62953/1152, 431/288, -22733/1152, -997/1152, -415685/13824, 
  -73628125/746496, -13026749/124416, 2355259/27648, 37142747/1492992, 
  85525/4608, -5483123/124416, 2007481/31104, -16379069/248832, 
  -353333/31104, -19/576, -1087/576, -22057/1152, 61/576, 235/384, 
  -415685/13824, -74397949/746496, -13172549/124416, 2338747/27648, 
  9383723/1492992, -275/4608, -5483123/124416, 2049277/31104, 
  -16176245/248832, -353333/31104, 1445/1152, 1175/1152, 5923/1152, 
  -2021/1152, -49/128, -5/32, 4459/288, -66121/1152, 39/64, -9141/128, 17/32, 
  107/96, -5753/384, -305/192, -677/384, -20215/1152, 5135/72, 245/16, 
  8501/576, -18769/1152, 5/32, 11/32, -377867/6912, 0, 427063/20736, 
  415685/13824, 35449909/746496, 6664577/124416, -2823739/27648, 
  -41245883/1492992, -325/512, 7486343/124416, 237497/31104, 16935353/248832, 
  3022915/62208, 415685/13824, 34972981/746496, 6757889/124416, 
  -2823307/27648, -40307579/1492992, 131/512, 9730835/124416, 
  -7117243/124416, 3801977/248832, 581417/124416, 23/18, 115/576, -19/96, 
  21/64, 415685/13824, 38109661/746496, 33875/486, -2814523/27648, 
  30185677/1492992, 27/512, 9730835/124416, -2025953/62208, 687497/248832, 
  581417/124416, 119011/6912, 7663991/41472, 442331/3456, -1245217/6912, 
  1/192, 377/192, -13/48, -1/192, -169/128, 13/48, -375545/6912, -1/192, 
  -1369/576, 11/32, -521365/6912, 101/96, -1/32, -907/2304, -39/64, 0, 
  -2425/2304, 5773/2304, -5/8, 10495/2304, 5/8, 29/256, 51/32, 301/2304, 
  -3025/288, -1627/128, -13/8, -455/288, 1/32, 85/288, 4585/768, 1867/2304, 
  1489/1152, -93/64, 73/256, -7075/1152, 22093/2304, 5071/2304, -205/2304, 
  -2557/768, 167/128, 1295/2304, -61/128, -5/64, -1/32, 43/128, -7/64, 
  -143/128, -5/8, -55/64, -233/128, -35/64, 0, 23/64, -5/64, 211/128, 93/64, 
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