{{1, 0, -1, 0, 0, -1/2, 0, 0, 0, -1/2, -1, 0, 0, 0, 1/2, -1, 0, 0, 0, -1/2, 
  1/6, 1, 1/2, -1, -1, -2, 0, 1, 0, -1, -1/6, 1/3, -1, -2, 0, 1, 0, 0, 0, 0, 
  -1/4, 1/4, 1/6, -1, 0, 0, -1, -1/4, 1/4, -11/12, -1/4, -1/4, 3/4, 1, -1/2, 
  -3/4, 31/12, 5/2, -5/3, -37/12, 7/6, 1/2, 1/2, 3/2, -1/2, -1/2, 5/4, 1/4, 
  1/2, 1/4, -31/12, 0, 1/2, 1/2, 1/2, 5/4, -3/2, 5/8, 3/8, 11/8, 7/4, -37/24, 
  29/24, 5/2, 1/8, -23/12, -43/24, 1/4, 0, 0, 0, -1/4, 1/4, -1/2, 1/4, -5/16, 
  -7/6, -5/6, -29/48, 0, 1/4, -7/8, -29/24, 83/48, 19/16, 1/2, 7/6, -1/24, 
  -1/2, 5/4, 1/4, 0, 1, -1/2, -1/2, -5/6, -9/8, 1/4, -23/16, -13/16, -1/16, 
  7/6, -1/24, 1/16, -5/16, -7/12, -5/3, -53/48, 0, 1/2, -7/8, -31/16, 3/8, 
  19/16, 25/48, 7/3, -1/12, -25/48, -9/8, -5/3, -17/24, 21/16, -31/16, 61/48, 
  19/16, 7/3, -17/12, -9/16, -5/6, -17/48, -23/16, 17/48, 1/4, 7/6, -1/24, 1, 
  0, 1/2, 2, -4/3, 1, -1/2, -1/2, 0, -1/2, -1, 0, 0, -1, -5/2, 1, 3, -9/2, 
  9/2, 4, 13/2, -13/2, -17/2, 4/3, -4/3, -4, -1/3, 1/3, 1/2, -23/6, -1, 2, 
  -1, -1/2, 2, 2, -2, 1/2, 1/2, 1, -1/2, 0, 11/6, -2, 3, -5/3, 1/3, 2, -1/3, 
  5/2, -26/3, -3, 35/3, 26/3, -2/3, -1/2, -3/2, 37/6, -97/20, -8/5, 0, 0, 1, 
  -7/2, -13/3, -1, -7/2, -7/3, 4/3, 1/6, -1, 2, 11/6, -1/2, 2, -5/6, -1/2, 
  -1, 9, 1, -7, 7, 7, -5/2, -1, 19/2, 3, 0, 9/2, 41/6, -4/3, 83/32, 25/16, 0, 
  0, 3/2, 9/4, -25/12, -65/24, -3/4, 15/8, 7/6, -7/6, -15/8, -3/4, -31/6, -3, 
  -9/8, -4/3, -15/8, -73/4, 5/4, 73/4, 5/8, -45/8, 57/4, 131/24, 15/2, 
  121/24, -199/24, -97/24, 35/12, -35/12, 0, 57/4, 7/6, 15/2, -2/3, -9/2, 
  -33/16, -33/16, 17/16, 5/2, 1, 161/32, 25/32, -17/32, 13/4, -1/2, 1/2, 
  31/16, -25/16, -67/32, -59/48, 179/96, 165/32, 33/32, 13/4, -8/9, 31/16, 
  -1/4, 419/144, -5/4, 35/32, 179/48, 1/2, -3/4, -13/36, 95/72, -3/2, -13/2, 
  373/72, 3/4, -49/36, 67/36, 13/18, 11, 25/8, 7/2, 41/24, -3/2, -51/8, 
  73/24, -239/36, -19/4, -55/36, 311/36, 13/18, -49/8, 25/8, 113/24, -1/8, 
  -51/8, -53/24, -5/12, -157/24, -3/4, 293/36, 125/36, 1, 37/40, 11/2, 
  -59/20, 5/2, -79/144, 79/144, -1567/144, 31/3, -1567/144, 0, -19/16, 
  -179/144, -5/2, -9/8, 1055/144, 5/2, 419/144, 47/144, 251/144, -47/144, 
  -251/144, -17/12, 23/12, -7/12, 17/12, 599/144, 47/144, -47/144, -17/12, 
  -475/144, 23/12, 57/16, 17/12, -83/48, -3/2, 3/2, 53/12, -17/12, -43/12, 
  11/6, 1/4, -11/4, -7/4, 1/4, -71/24, -17/8, 11/4, -1/2, 77/24, 3/4, 3/4, 
  3/4, -3/4, -1/12, -19/8, 13/24, -9/8, 29/24, 3/4, -3/4, -29/24, -31/24, 
  43/24, -9/8, -5/3, -5/2, 5/3, 29/8, -7/4, 5/3, 21/2, 23/8, 7/3, -7/3, -7/3, 
  13/8, 5/3, 19/8, 199/24, -1/8, 23/8, 33/8, -9/8, -7/3, -205/24, 9/8, -9/4, 
  -5, 19/4, 5, -5/2, 5/2, 9/2, 5/4, -1/4, 227/24, -259/24, -227/24, 0, 0, 
  5/4, 9/2, -5/4, -1/4, 31/12, 5/3, -3/4, 1/2, -7/3, 9/8, 5/3, -5/12, -5/3, 
  -17/24, 23/8, 25/16, 175/24, 49/48, 99/16, -7/3, 7/3, -23/4, 27/8, 7/36, 
  -25/36, 27/16, 67/32, 5/6, -289/288, -1/4, 23/16, 49/32, -17/32, -7/6, 
  1/24, -17/32, -43/16, 29/48, 35/48, 23/24, 1/2, 3/4, 7/24, -1, 5/16, 
  -17/24, 5/6, 5/48, -29/24, -1/4, 7/8, 29/16, -23/144, -7/16, 37/36, -7/6, 
  1/24, -2/3, -1/2, -1/4, 1/2, 1, 37/80, -13/8, 7/4, 5/4, -49/40, -15/8, 
  11/8, -31/144, 31/144, -55/72, 5/8, 511/72, 955/432, -385/72, -1/4, 27/8, 
  -41/8, -199/54, 1/24, 53/9, 3/4, 3/4, 3/4, -3/4, -21/16, 5/6, -23/16, 
  -11/6, 7/6, 47/24, -1, 43/24, -7/6, -1/6, 9/16, 5/6, 5/4, -5/6, -29/16, 
  23/16, 41/16, 175/48, -7/16, 15/16, 9/8, 1/2, 17/24, 7/6, 7/4, -5/3, 
  -205/24, -23/8, -7/3, 7/3, 0, -557/16, -175/8, 0, 0, 46/3, -3949/54, 1, 
  -11, 0, 17/2, -10, -10, -29/6, -47/12, -14/3, 28/3, 1, 0, 0, 0, 0, -7/2, 0, 
  0, 0, -1, -119/8, 35/24, -49/2, 0, 49/2, 287/12, -23/4, 123/4, -9/4, 
  3949/108, 4165/216, 3949/72, -121/24, 121/24, 2221/216, 135/8, 123/8, 
  -143/8, 25/8, -65/8, -139/24, 139/24, -16/3, -73/8, 133/80, -2, 1, 6, -6, 
  -4, 4, 1, 1/3, 33/8, 103/72, -209/16, -199/16, -247/16, 143/16, -3/16, 
  -11/4, 175/144, -347/16, -159/16, -33/8, -1327/72, 41/36, -183/16, 11, 2, 
  75/16, 2, -331/16, -1/2, 75/16, -11, -331/16, -75/16, 12, 19/12, -2, 17/12, 
  1, -83/6, 83/6, 25/2, 4, -3, -2, -3, -207/8, -231/8, -1, 199/8, -7/2, 
  181/24, -245/18, -9/2, 299/18, 1199/72, 73/12, 9/2, 61/6, 0, -1/2, 175/36, 
  0, 125/144, 3949/54, -1321/144, -131/16, 1901/72, 267/16, 0, -267/16, 
  -104/9, -26459/432, 0, 0, -95/9, -15499/216, 8/3, 43/6, -299/12, -163/4, 
  12, 119/4, -9/2, 43/6, 9/2, -26/3, 43/6, -19/6, -17/2, -11/24, -10/3, 
  -11/8, -161/24, -17/8, -23/4, -359/48, -91/24, 14/3, 421/48, -113/96, 17/6, 
  -119/24, 11/8, -103/24, -23/72, 21/8, 5/2, 32/3, -26/9, -16/3, 119/24, 
  -11/8, 107/72, -155/24, -13/18, 389/48, -53/16, -389/48, 53/16, -11/4, 
  269/144, -1253/144, 43/16, -989/144, -4/3, 7/12, 3, -49/6, 79/8, -15/4, 
  -35/24, 43/24, -65/24, -9/8, -5/3, 15/8, 5/3, -3/4, -7/4, 5/3, 71/24, 23/8, 
  7/3, -7/3, 3697/108, 3/2, 1/2, 731/144, 3/4, 77/24, -217/36, -829/288, 
  -121/144, 5/8, -13/8, -9/8, -24971/2880, -35/32, -5/4, -127/15, -239/80, 
  -9/4, -295/96, -449/96, 279/320, -187/60, -35/24, 5/16, -43/48, -3107/144, 
  -1/2, -1733/144, 11389/144, 3251/144, -11455/144, -653/48, -163/18, 175/48, 
  29/8, 3/2, -95/48, -55/18, -749/144, -43/16, -35/6, -93/8, -5/3, -211/16, 
  -13/24, 145/48, -23/8, -229/16, 7, 7/3, 1067/144, 365/32, 197/48, 16/9, 
  1/2, 2107/144, -95/48, 1567/144, -13/36, 59/48, 163/72, -1/16, 49/36, 7, 
  91/8, -211/36, -153/16, 1/9, -65/48, 77/24, -17/48, 7/18, 33/4, 2015/144, 
  127/48, 15/8, 53/72, 3/8, -179/16, -283/24, 931/72, 47/16, -1193/144, 
  -191/48, -83/36, 1013/144, 13/36, 83/48, -23/8, -1, -457/160, -37/40, 
  -91/24, 1/20, 21/5, -3/2, -169/144, -47/144, -3/2, 7/8, -5/4, -487/144, 
  1267/144, 487/144, -1087/144, 1865/144, -269/12, 15451/864, 10/3, 
  -25673/864, -13/6, -14/3, -43/36, 4/9, -81/8, -165/8, 119/36, 107/8, 
  -325/72, -10/3, -13/12, -97/72, 14/3, -57/8, 67/6, 3, 193/24, 649/24, 
  101/12, 77/24, -14, 137/6, -5/4, 28607/288, -35/16, 869/12, 9355/144, 
  2953/24, 7057/72, -89/6, -3/8, -73/6, -62/3, 3/8, -299/36, 355/12, 
  5743/216, 3949/72, 757/8, -757/8, 551/144, -19745/216, -19/12, -67/12, 
  -7889/216, -403/24, 229/12, 1609/48, -257/6, -17, 1405/24, 833/72, 61/4, 
  -3415/48, -189/8, -457/18, 1171/360, 39/20, -223/18, 325/48, 641/24, 119/6, 
  1553/48, -4223/16, 17, -19/72, -1319/32, -707/9, 77263/288, 191/4, 1759/36, 
  -37/9, -1/2, 45/4, -586/9, 131/144, -2215/36, -8665/144, -91081/864, 
  -229/8, -5723/72, 33/2, 4139/72, 569/72, 1, -1, -1/4, -3/2, 0, 3/2, 1/2, 0, 
  0, 0, 0, 0, 1/6, 1/2, -1/2, 1, 1/4, -1, -1, -1, 3/2, 3/2, -1/2, 0, 0, 0, 0, 
  0, -1/4, 5/4, 0, 0, 1/6, 0, 1/4, -1/4, -1/2, -1/2, -1/2, -1/2, 1, 2, 1/2, 
  1, 0, -1/2, 0, 1/2, 1/6, -1/3, 1/2, 1, 0, 21/32, 29/24, 0, -23/16, -29/24, 
  25/32, 17/16, -5/24, -23/16, -63/32, 5/12, 5/6, 0, 0, 13/32, 35/24, 21/32, 
  41/96, -9/32, 7/32, 23/32, -13/6, -25/12, 13/6, 8/3, 21/32, -25/24, 0, 
  -23/16, 25/24, 25/32, 17/16, 1/24, -27/16, -63/32, 11/4, 5/12, -17/12, 
  -5/4, 0, 0, 0, 0, 19/32, 1/24, -7/32, -63/32, 5/96, 17/24, 47/96, -133/96, 
  -19/24, 0, 1/2, -3/4, 0, 0, -19/12, -5/4, 5/6, 7/3, -5/6, -11/32, 23/24, 
  5/32, 161/96, 7/32, -33/32, -49/32, -41/12, -11/6, 21/4, 19/6, 0, -11/32, 
  23/24, 23/32, -33/32, 1/2, 11/32, -95/48, -149/96, 349/96, -23/48, -11/16, 
  -5/4, -1/16, 3/2, 43/48, 21/32, 35/24, -11/16, -35/24, 1/32, 15/32, -7/32, 
  1/2, -21/32, -79/32, 41/32, 265/96, -1/2, -1, 53/48, 2/3, 61/32, 169/96, 
  -9/4, -169/96, -3/32, 23/24, 15/32, -25/32, -101/96, -1/2, -23/32, -1/2, 
  77/96, 29/96, 1/12, -29/96, -21/32, -3/4, 41/32, -5/24, -1, -1, -1/2, 
  389/96, 61/32, 95/48, -13/6, -95/48, -17/32, -1/2, -11/32, 61/32, -13/12, 
  -17/24, -1/2, 1/12, 3841/144, 3841/432, -3/2, 1, -2039/144, 2119/288, 0, 
  -2119/288, -1903/288, 131185/1728, 1/12, -1/12, -1/4, -5/12, -3/4, 3/4, 
  3/4, -4057/432, 4057/432, 3913/144, 1309/432, 2401/216, -95/108, -3625/216, 
  3625/216, 3553/144, -4705/432, 1/2, 0, -1/2, 3769/144, 3193/432, -7/54, 
  13/108, 95/108, -1/2, -2, 4/3, 1/4, 1/2, -3/4, -3/4, 0, -8165/432, -1/2, 
  -1/4, 0, -5/16, -10001/432, 481/48, 41/8, -4243/216, 1/2, 1, -1, -1/2, 1/2, 
  1/2, -371/48, 2/9, 1967/144, 1/4, 13/18, 1217/144, -2/9, -2/9, -1/4, 
  979/144, -47/36, 155/36, 119/36, 7/4, 19/8, -15/4, -545/48, 155/36, -7/12, 
  97/12, -1/12, -557/48, -2735/144, 23/9, 83/36, -119/36, -1/2, -1/2, 0, 1, 
  0, 1/2, 1039/120, -543/80, -2711/240, -973/120, 17/24, 1, -7/2, 0, 0, 
  -1099/480, 343/320, 979/480, 1099/480, 0, 2503/960, -97/40, -275/192, 
  -2503/960, -1759/288, 1759/288, -479/288, -15/4, -385/72, 557/72, 2441/144, 
  5341/216, 101/12, 0, -101/12, -49/6, 41819/432, 665/288, 0, -665/288, 
  -49/6, 79081/864, 0, -275/24, -65/4, 4/3, 25/2, 1019/72, 1/12, 0, -1/12, 
  -1/4, -7/12, 0, 1/2, 1/4, 5/4, -5/4, -5/4, -3/4, -21/4, 5/2, 1, 0, -21/4, 
  21/4, 25/4, -3/4, 0, 3/4, 17/4, -9029/432, -3/2, 11/2, 305/288, -305/288, 
  -305/288, 36379/1728, -305/288, 35989/1728, 1/2, 1/2, -2, -1/12, -3/2, 
  -9/2, 9/4, -9/4, -2, 0, 1/2, 0, 2797/432, -493/48, -13/2, 13/2, 17/2, -4/3, 
  4/3, 4, 149/108, -3913/432, -599/108, -149/108, 4031/216, -2941/432, 1/3, 
  -149/108, 3085/432, 1/3, -1/3, -1/2, 23/6, -5/4, -5/4, 7/4, -5/4, 21/4, 
  -1/4, 7/4, -1/4, -1/4, -2, -21/4, 1/2, 1, 0, -1/2, -745/144, 91/36, 
  1967/144, -55/18, -197/36, 541/144, 9/4, 179/36, -155/36, -7/12, -857/144, 
  19/12, 269/36, 3011/144, -137/36, 493/144, 7/4, 173/36, -155/36, -5/4, 
  319/144, 31/12, -43/36, 2051/144, 1/6, -1/2, 3/2, -37/6, -1783/960, 
  643/120, -521/480, 823/480, -643/240, -515/192, -1723/240, 221/160, 
  -2119/960, 569/960, 1219/480, -2203/240, -511/48, -1063/960, 2961/320, 
  1519/240, 777/160, -169/96, -203/48, -25/48, -1431/320, 857/480, 4727/240, 
  395/96, -179/30, 467/192, 883/240, 13/20, 2359/960, -23/320, 19/72, -19/72, 
  -305/288, 305/288, 325/96, -305/288, 305/288, 325/96, -13/4, -313/72, 
  377/72, 3017/144, 6745/216, -13/4, -313/72, 17/2, 3017/144, 755/27, 
  305/288, -305/288, -305/144, 4523/108, 3/4, -3/4, 1/4, -269/24, -57/4, 
  17/6, 19/2, 821/72, 0, -2, 0, 7/12, 3/2, -27/2, -3/2, 47/4, -47/4, -47/4, 
  -19/4, 3, -15/4, -47/4, -7/2, 0, -19/4, -1/2, 25/4, -3/4, 0, 3/4, -3/2, 
  -41/12, 9/32, 3715/432, -11/16, -3715/432, 13/32, 31/16, 43/8, 3947/432, 
  -71/32, -2167/432, 11/24, -2393/108, -479/96, -253/72, -25/16, -21001/864, 
  119/24, 9/16, 283/96, 271/48, -13/16, -4981/432, -1285/192, -17/32, -21/32, 
  65/96, 223/48, 35/32, 461/96, -9/16, -17/16, -391/48, -19/144, 63/32, 
  -265/288, -161/12, 35/18, 2687/96, -1/9, 1731/2560, 27151/1280, 497/320, 
  -81/32, -1/2, 1699/288, 1/2, -485/144, 1117/144, -1649/144, 45875/1728, 
  -19/144, -17725/1728, -619/288, -128107/1728, -1/6, -3/4, -4/3, -491/96, 
  -43/6, 15/32, 239/32, 233/48, 31/4, 25/12, 191/144, -695/144, -65/32, 
  -31/8, 55/16, 31/8, -45/32, -9/16, 21/8, 95/16, 91/32, 71/24, -4591/108, 
  -71/24, -67/12, 149/864, 27/32, -3955/864, -23/32, -275/108, 499/864, 
  59/16, 1015/96, 15/16, 19/8, -5/8, -19/8, -5/16, 45/16, 3, -37/16, -15/4, 
  -31/108, 199/48, -509/48, -35/24, 35/24, 0, 3, -5/6, -15/4, 4/3, -7, 3/2, 
  17/32, 81/32, -17/32, -1/4, -3/4, -161/64, -129/64, 49/64, -3, -187/48, 
  -21/16, 263/24, 113/24, 27/8, 4, 1433/192, -7301/864, -28735/1728, 
  -1727/192, 15/64, -3, -187/48, 2089/144, 27/8, 1/4, -3/8, -8243/864, 
  -181/48, -1847/192, 9035/864, 1921/288, -257/48, -5/32, -131/32, -7/32, 
  145/16, 113/72, 3/4, 497/288, 157/12, -25/9, -8189/288, 1/9, -59/96, 67/48, 
  -5/32, -1225/288, 25/32, 89/16, -37/48, 251/96, -63/8, -89/36, -5999/288, 
  -1/4, -257/96, 307/48, -27/32, 55/96, 23/32, -127/32, -281/96, 10/3, 
  -469/24, 85/18, 265/48, -13/36, 269/96, 307/48, -133/96, 1/16, -127/32, 
  41/48, 67/96, -899/48, -47/96, 93/32, -215/72, -7957/960, 22669/1920, 
  75331/1920, -199553/7680, -307633/7680, 5017/320, -246491/3840, 3143/480, 
  1/2, 76027/5760, -1261/96, -11081/720, 8999/384, -3/4, -7495/1152, 
  163/1920, -13/4, 1273/96, -19399/3840, -799/96, -81187/1920, 13309/1280, 
  233861/7680, -779/60, 289/80, 11147/240, -133/480, 47/10, 653/960, -3/8, 
  -225157/11520, -39/40, 11/4, 945677/23040, 337/240, -1345/96, 10741/1440, 
  181499/3840, 7/96, -331/24, 25211/1280, -7/32, -939/320, 853/288, -853/288, 
  2519/288, -125/48, 1603/288, -153/32, -155/144, 1879/288, 1801/144, 877/96, 
  -263/48, -20813/432, -1297/144, 33253/864, -133/32, 133/32, 223/72, 
  42889/1728, -29/36, -33851/576, -1603/96, -61745/1728, 223/72, 39787/1728, 
  -29/36, -32303/576, -1603/96, -59207/1728, 3/4, -3/4, -61/24, 25/24, 43/24, 
  -785/96, -109/12, 227/96, 241/32, 1/4, 785/96, 337/18, -335/96, -997/96, 
  -80/9, 983/96, 127/8, -61/32, -407/32, -1963/144, 1, 9/8, 5/3, 5/2, -5/3, 
  -29/8, 7/4, -5/3, -77/4, -23/8, -7/3, 7/3, 7/3, -21/8, -5/3, -19/8, -97/24, 
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  -1/4, 0, 0, 0, 0, 1/20, 249/40, 1/40, -7/20, 0, 0, 1/2, 0, -1/2, -1/80, 
  -39/160, 1/80, 1/80, 0, 77/160, 1/20, -7/32, -77/160, 41/24, -47/24, 1/4, 
  -1/4, 15/4, -21/8, -131/24, 335/144, -43/24, -1/4, 43/24, 43/24, 841/288, 
  -1/12, -1/4, -1/6, 43/24, 1405/288, -1/4, -17/8, 2, -1/4, -7/4, 1/2, -1/2, 
  -1/2, 1/2, 0, -3/4, -1, 1/4, 1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 0, 0, -1/4, 
  -3/4, 1/4, -3/8, -3/8, -1/4, 3/8, -97/288, 0, 0, -1/12, 1/12, 1/12, 
  103/144, 1/12, 115/144, 0, 0, 0, 0, 0, 0, 1/4, -1/2, -1/4, -3/8, 3/8, 3/8, 
  77/288, 3/16, 0, 0, 0, 0, 0, 0, -79/144, -13/36, 131/288, 79/144, 25/144, 
  -77/288, 0, 79/144, 77/288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/4, 0, 0, -19/24, -1/2, -11/96, 1/2, 1/2, 19/24, -1/2, -1/2, 1/2, 0, 
  163/96, 0, -2, -107/96, 1/2, 19/24, -1/2, -1/2, 1/2, 0, -29/96, 0, 0, 
  85/96, 0, -1/4, 0, 2, 33/160, 39/40, -37/40, -33/80, 1/80, -7/32, -69/80, 
  31/40, 9/160, -39/160, 1/80, 151/80, 5/4, -7/160, -123/160, 1/40, 29/80, 
  -5/16, 1/8, 1/4, -37/160, -267/80, -69/80, 11/16, 139/80, 7/32, 19/80, 
  -47/80, 31/160, -1/160, 9/8, -9/8, 1/12, -1/12, -13/8, 1/12, -1/12, -13/8, 
  -1/4, 7/2, -21/8, -131/24, 335/144, -1/4, 7/2, -9/4, -131/24, 281/144, 
  -1/12, 1/12, 1/6, 109/72, 1/2, -1/2, 1/4, -11/8, 5/4, -1/4, -1, 1/2, 1/4, 
  0, -1/4, 0, 0, 0, 0, 5/4, -5/4, -5/4, -1/4, 0, -5/4, -1/4, 0, 0, -1/4, 0, 
  1/4, -3/8, -3/8, 1/4, 1/8, -1/4, 0, -55/72, 0, 37/72, 0, 0, 21/16, 181/288, 
  0, -77/288, 0, -235/288, 0, 17/12, -1/16, 97/36, 7/12, 0, 1/16, 0, 0, 
  -67/576, 0, 0, 0, 1/2, -15/32, 0, -15/32, 0, 0, 13/32, 0, 0, 0, 65/96, 0, 
  -23/48, 0, -143/1280, -3/640, -41/160, -1/8, 169/96, -1/3, -217/96, -7/24, 
  -131/48, 49/16, 1093/288, 35/48, -11/72, 37/48, -767/288, -3/4, 1/4, 1/2, 
  -15/16, 31/32, -1/4, -3/4, 31/16, -15/8, 0, 3/2, 13/8, 0, 73/32, 9/8, 
  -21/32, -5/4, 0, -65/32, -11/8, 0, -1/8, -43/144, 1/8, -3/16, 79/144, 0, 
  -379/288, 0, 79/144, -79/144, 0, -3/16, 0, -3/2, 0, 13/8, 0, 0, 43/32, 0, 
  0, -25/144, 0, -3/16, -1/8, -1/4, 0, 43/32, 0, 0, 0, -3/16, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -3/16, 17/32, -1/16, 81/32, 7/12, 3/16, 1/16, 0, -1519/576, 
  -67/576, 0, 0, -3/16, 17/32, 59/48, 3/16, 0, 1/16, -1129/576, -7/12, -1/16, 
  67/576, 7/24, 31/32, 0, 13/16, 0, -9/16, 0, 1/4, 0, -65/96, 0, 23/48, 0, 0, 
  37/32, 0, 5/16, 0, -1/2, 0, 0, -139/96, 0, 59/96, 0, 11/32, 17/32, 0, 
  -29/32, 0, -7/16, 0, 0, -31/48, 0, 13/96, 0, 1/8, 17/32, 1/4, 0, -7/16, 0, 
  0, -107/96, 0, 229/96, 0, 37/160, 251/320, -341/320, 3743/1280, 2263/1280, 
  -121/160, 821/640, 47/80, 0, -459/320, 0, 793/160, -41/64, 0, 689/192, 
  87/320, 0, 0, 169/640, 4, -63/320, -2497/640, 109/1280, 17/80, -399/80, 
  -43/160, -17/80, -9/20, 227/160, -1/2, 1869/640, 37/20, 0, -21409/1280, 
  3/40, 0, -217/30, -609/640, 3/16, 11/16, -443/640, -13/16, -83/160, 5/12, 
  -5/12, -97/24, 17/8, -41/24, -1/8, 43/32, -11/24, -131/48, 1/8, 13/32, 
  43/144, 131/48, 23/144, 3/4, -3/4, -2/3, 277/144, -7/96, 7/48, 9/2, 
  -721/288, -2/3, 151/144, -7/96, 7/48, 9/2, -937/288, 0, 0, -1/4, 1/4, 1/4, 
  -15/16, 33/32, 0, -3/4, 0, 15/16, 11/32, -1/4, 3/4, -11/8, 15/8, -17/32, 
  -1/4, 1, 1/4, -1/4, 0, -11/8, 1, 11/8, 1/2, 0, 11/8, -5/4, 0, 0, 0, 0, 0, 
  11/8, 0, 3/8, 3/4, 0, 0, 1/8, 0, 133/288, -1/8, 0, -35/32, 1/8, 15/32, 
  -1/2, 0, 3/32, -9/8, 0, -1/2, 47/288, 1/2, -3/8, 3/8, 0, 3/32, 1/8, 0, 3/8, 
  -1/8, 1/8, 1/4, 0, 21/16, 0, 0, 0, -1/8, 1/24, 11/12, 1/8, 0, -133/48, 0, 
  0, 0, 0, 0, 5/8, 0, 3/32, 1/4, 0, 0, 0, -25/24, 0, -1/8, 0, 0, 15/32, 0, 
  -1/4, 0, 0, 0, 37/640, -4, 0, 165/256, 89/16, 1/40, -4801/640, 1/80, 0, 
  -183/160, 43/20, -27/640, 6281/3840, -641/1280, 0, 539/240, 21/640, 0, 
  39/160, -19/32, -9/160, -3/4, 3/10, -63/40, 13/16, 107/640, 433/160, 1/2, 
  -1/2, 3/160, -11/12, 11/12, -1/2, 1/8, 29/16, 25/144, -35/24, 0, 131/48, 0, 
  -305/288, 0, 1/2, 0, 0, 1/4, 15/16, 1/2, 1/4, 3/4, -1/4, -1/2, 0, 11/8, 
  -5/8, -11/8, -1/2, 0, 0, 47/32, 1, 0, 0, 0, 1/2, -701/288, -3/16, 809/288, 
  5/3, 17/8, -3/4, -9/8, 337/96, 13/288, 7/48, -7/48, -37/16, -13/36, 1/4, 
  -37/24, 199/24, 131/24, -2809/288, 7/4, -19/6, -73/24, 5/4, 67/24, 1/32, 
  -623/576, -709/192, 11/32, 9/32, 253/288, 67/32, -115/16, -1231/288, -1, 
  33/16, -5/4, -17/16, -1/6, -83/96, 11/32, 7/3, -7/48, 319/288, -133/48, 
  19/8, 9/8, -3, -91/24, 143/288, 1/8, -9/8, -1/2, 7/8, 11/12, -2/9, -19/36, 
  -5/48, 13/36, 3/8, -331/48, 13/9, -79/72, -79/72, 79/72, 79/72, 95/144, 
  -1/72, -13/36, -25/72, 85/72, 95/288, 1/24, -43/72, -95/72, -67/12, 17/72, 
  331/144, 61/72, 173/96, -209/96, 7/32, -1/2, 49/32, -311/96, -125/24, 
  427/96, -151/288, 3/16, 43/288, 1/6, 301/288, -77/144, 3/16, 41/144, 1/6, 
  95/144, -11/8, -1/8, -691/144, 1/4, -79/72, 691/144, -3/4, 1/2, 3/8, 33/32, 
  1099/288, 9/8, 1/8, -1/8, 319/144, 97/144, 95/144, -95/144, -199/144, 
  -13/12, 1/8, 5/8, -299/288, -9/32, -9/32, 9/32, 1, 5/4, -5/4, -5/4, 5/4, 
  59/96, -5/4, 113/160, 151/160, -1121/640, -19/80, -31/40, 309/320, 
  -13259/1440, -1009/1920, -1167/320, 631/360, 0, 0, 3/8, -85/24, 145/144, 
  16/3, -245/72, 3/8, -85/24, 127/144, 16/3, -59/18, 0, 0, 3/2, -5/8, 17/12, 
  11/8, 67/72, -1/2, 1/2, -1/8, 1787/288, 5/16, 3/16, 3/16, -3/16, -1/32, 
  -479/576, 881/576, 7/32, 3/32, 1/8, -1679/576, -73/48, -1/32, 2435/576, 
  -5/8, -169/96, -41/24, 251/48, 149/72, 2, -29/24, 3/4, 5/24, 11/12, 2/3, 
  -19/96, -25/12, -13/48, -319/288, -305/96, 43/24, -1/3, 1/4, -65/32, 
  -43/24, 16/3, 181/96, 79/288, 167/48, -67/24, -99/16, 137/96, 41/144, 
  167/48, -37/12, -99/16, -33/32, -1/2, 3/4, 1/2, 0, -3/2, 3/4, 1/2, 11/12, 
  -13/8, 93/32, -1/4, -109/32, 1/2, 2, -3/2, -2, 23/24, -25/12, -1/16, 
  -13/18, 3/8, -5/16, -31/12, -1/4, -143/144, 45/32, 1/16, -1/4, -49/48, 
  11/96, -1/8, 1/8, 0, -65/96, -1/4, 1727/320, 14639/1280, 289/8, -4243/240, 
  -529/160, 4737/640, 10929/320, 373/192, -867/256, -17/10, -1641/640, 
  -13/32, 4519/480, 3173/640, 63/64, 9361/1280, 551/320, -449/64, -277/1280, 
  529/160, -1009/128, -2189/64, -331/192, 4631/1280, -1/12, -21/8, 3/2, 0, 
  53/24, -1/12, 299/96, -373/24, -581/96, 1/3, 1/6, -1/6, -5/12, -1757/288, 
  1/6, -5/12, -425/288, 1/4, 17/4, 9/2, -13/3, 0, -87/8, 71/8, 137/8, 1/4, 
  -5/2, -15/8, -39/8, -59/12, -163/12, 3/8, -15/8, -9/2, -59/12, -39/4, 9/8, 
  -7/8, -21/8, -9/4, 1/4, 51/8, -37/8, -3/2, 39/8, -1/4, 73/8, 45/8, -7/4, 
  -39/8, 23/288, 6, -25/4, -6, 0, -11/8, 1/16, -275/192, -7/12, 0, -1/16, 0, 
  0, 67/576, 13/72, 0, -131/576, 3/16, 0, -13/288, 0, -167/144, -419/192, 
  307/576, 475/288, 299/576, -3/16, 0, 103/192, 0, -1/4, 93/32, 13/144, 
  -43/32, 95/144, -131/24, 203/48, 49/18, -1279/288, -1/12, 13/36, -1/8, 
  -1/4, -11/8, -11/16, 7/8, -1, 1/4, 1/4, 28/9, -1/2, -1/4, 77/96, -13/9, 
  -1/4, -433/192, 1/16, -53/16, -7/12, 287/192, 7/16, -1/4, 1/2, 2243/576, 
  67/576, -1, 0, 119/320, -17213/1280, 129/640, 2273/11520, 281/480, -97/40, 
  2203/120, -983/1280, 721/160, 1359/1280, -7771/960, 3089/11520, -323/256, 
  2171/2880, 1/4, -149/48, 43/48, 125/48, -1/4, -49/48, -2285/288, -125/48, 
  2027/288, 3/16, -15/8, -17/8, 1/8, 0, -3/16, 91/48, 19/8, -1/8, -1/48, 
  3/16, -11/8, 5/16, -1817/576, -11/3, 0, -7/32, -3/16, 0, 2969/576, -3/32, 
  0, 79/32, -119/48, 121/96, 7/24, 0, -33/16, 31/32, 35/48, 11/72, -61/48, 
  767/288, 1/16, 5/32, 0, 0, -7/8, 0, 0, -35/16, 169/96, 0, -7/48, -13/8, 0, 
  -17/32, 11/8, -1/8, 39/16, 5/4, 1/2, 37/32, -3/4, -1/2, 91/96, 0, 43/144, 
  -1/3, 0, -6823/640, 3921/640, 209/320, 44027/1280, -10029/640, -23/160, 
  3961/3840, 179/240, 2921/480, -1263/1280, 179/80, 109471/5760, 463/1920, 
  -2813/640, 5/12, -1/3, 0, 0, 289/72, 71/48, -605/144, 173/48, 811/96, -1/8, 
  -581/96, -17/24, 353/96, -109/24, 139/16, -401/48, -157/288, 11/8, 
  -1319/144, -11/6, 0, 21/8, 3/8, 53/16, -63/32, -11/8, 5/2, -7/8, -11/8, 
  -3/4, -11/24, 0, 3/8, -133/576, 397/72, -115/48, -15/8, 6913/576, -35/48, 
  -17/8, -3373/576, 1/4, -775/64, -97/288, 11/9, -995/192, 2849/576, 
  2015/288, -1681/576, 2, -2693/192, 11/8, 111/16, 2749/192, -7/72, 371/192, 
  -49/288, -13/12, -1963/288, -19/48, 1409/288, -97/96, -1349/144, -4253/144, 
  3929/144, -15/32, 143/36, 3/8, -3/8, -197/96, -15/8, 401/192, 103/48, 9/4, 
  -517/192, -1/8, -65/12, 5339/576, 317/192, 1459/144, -2829/128, 
  109543/11520, 419281/11520, 27007/960, -15333/640, 115/96, 85/24, 521/144, 
  451/48, -581/64, -57/32, 35/4, -6943/576, -64/3, 4037/192, -25/4, 8807/576, 
  281/48, -185/32, -2483/576, 8993/288, 37/48, -19/12, 33/32, 6301/288, 9/4, 
  -275/96, -3/4, 203/96, -95/32}, {0, 0, 0, 1, 0, -1/2, 0, 0, 0, -1/2, -1, 0, 
  0, 0, 1/2, -1, 0, 0, 0, -1/2, 1/6, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/6, 1/3, 
  0, 0, 0, 0, 0, 0, 0, 0, 3/4, 1/4, 1/6, -1, 0, 0, 0, 3/4, -1/4, 1/12, 1/4, 
  -1/4, -1/4, 0, 0, -1/4, 1/12, -1/2, -1/6, -7/12, 1/6, 0, 0, 0, 0, 0, -1/4, 
  -1/4, 0, -3/4, -7/12, 1/2, 0, 0, 0, -1/4, 0, -1/8, -7/8, 1/8, 1/4, -7/24, 
  -1/24, -1/2, 3/8, -5/12, -13/24, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/16, 1/12, 1/6, 
  1/48, 0, 0, -1/8, 1/24, 5/48, 1/16, 0, 5/12, -1/24, 0, 0, 0, 0, -1/4, 0, 0, 
  1/6, -5/8, 0, -1/16, -3/16, 1/16, 5/12, -1/24, -1/16, 1/16, 5/12, 1/3, 
  1/48, -1/2, 0, -1/8, -9/16, -1/8, 1/16, 7/48, 5/6, -1/12, -7/48, 1/8, 1/3, 
  1/24, -1/16, -9/16, 7/48, 1/16, 5/6, -5/12, 1/16, 1/6, 1/48, -1/16, -13/48, 
  0, 5/12, -1/24, 1, 0, 1/2, 2, -4/3, 0, -1/2, 1/2, 0, -1/2, 0, 0, 0, -1, 
  -1/2, 1, 1, -7/2, 7/2, 3, 9/2, -9/2, -13/2, 4/3, -4/3, -4, -1/3, 1/3, 1/2, 
  -11/6, -1, 1, 0, -1/2, 1, 0, -1, -1/2, -1/2, 0, -1/2, 0, -1/6, 0, 1, -2/3, 
  1/3, 0, -4/3, 1/2, -2/3, 0, 5/3, 2/3, 1/3, 1/2, -1/2, 1/6, 0, 0, 0, 0, 0, 
  -1/2, -1/3, 0, -1/2, -1/3, -2/3, 1/6, 0, 0, -1/6, 1/2, 0, 1/6, -1/2, -1, 5, 
  1, -4, 4, 4, -1/2, 0, 9/2, 1, 0, 7/2, 29/6, -4/3, 65/32, 19/16, 0, 0, 1/2, 
  3/4, -7/12, -11/24, 3/4, 1/8, -1/3, 1/3, -1/8, -3/4, -5/3, 1/2, 5/8, -4/3, 
  3/8, -11/4, -1/4, 11/4, -1/8, -15/8, 11/4, 17/24, 3/2, 19/24, -73/24, 5/24, 
  5/12, -5/12, 0, 11/4, -5/6, 3/2, -2/3, -1/2, -3/16, -15/16, 11/16, 1/2, 0, 
  67/32, -5/32, -11/32, -5/4, 0, 0, -27/16, -11/16, -9/32, 7/48, -7/96, 
  95/32, 27/32, -5/4, 1/9, -27/16, -1/4, 41/144, 1/4, 57/32, 53/48, 0, -1/4, 
  -1/36, 53/72, 0, -7/2, 91/72, 1/4, -1/36, 19/36, 1/18, 3, -13/8, 0, 23/24, 
  0, -13/8, 19/24, -35/36, -3/4, -7/36, 71/36, 1/18, -7/8, -13/8, 23/24, 
  -3/8, -13/8, 13/24, 1/12, -7/24, -1/4, 35/36, 29/36, 0, 0, -1/2, 1/4, 1/2, 
  215/144, -215/144, -121/144, 7/3, -121/144, 1/2, -37/16, -77/144, -1/2, 
  -3/8, 17/144, 1/2, 101/144, 41/144, 77/144, -41/144, -77/144, -1/4, 11/12, 
  -1/12, 1/4, 137/144, 41/144, -41/144, -1/4, -109/144, 11/12, -1/16, 1/4, 
  19/48, -1/2, 1/2, 23/12, -11/12, -13/12, 5/6, 1/4, -1/4, -3/4, -1/4, 
  -17/24, -3/8, 3/4, 1, 23/24, 1/4, 1/4, 1/4, -1/4, -7/12, -5/8, 7/24, 9/8, 
  35/24, 1/4, -1/4, -35/24, 11/24, 13/24, 1/8, 1/3, -1/2, -1/3, 3/8, -1/4, 
  -1/3, 5/2, 1/8, 5/6, -5/6, -5/6, 3/8, -1/3, 1/8, 37/24, -7/8, 1/8, 3/8, 
  -3/8, -5/6, -91/24, 3/8, -1/4, -2, 5/4, 2, -1, 1, 2, 7/4, -3/4, 137/24, 
  -97/24, -137/24, 0, 0, 1/4, 2, -1/4, -3/4, 1/12, -1/3, -1/4, -1/2, -5/6, 
  -1/8, -1/3, 1/12, 1/3, 1/24, 1/8, -5/16, 37/24, -5/48, 17/16, -5/6, 5/6, 
  -7/4, -5/8, -1/18, 1/18, -19/16, -7/32, -1/6, -235/288, 0, 1/16, 19/32, 
  -11/32, -5/12, 1/24, -11/32, -1/16, -13/48, 5/48, -13/24, 0, 3/4, 7/24, 0, 
  -1/16, 1/24, -1/6, -1/48, -5/24, 0, 1/8, -5/16, 19/144, 3/16, 7/36, -5/12, 
  1/24, -1/6, 0, 0, 0, 0, 0, 3/8, -1/4, -1/2, 1/8, -3/8, 3/8, -169/144, 
  169/144, 23/72, -1/8, 37/72, 301/432, -1/72, 0, 5/8, -7/8, -2/27, 1/24, 
  5/9, 1/4, 1/4, 1/4, -1/4, -19/16, -1/6, -9/16, -1/3, 2/3, 17/24, 1/2, 
  13/24, -5/12, 1/3, -1/16, -1/6, 1/4, 1/6, -3/16, 1/16, 3/16, 85/48, -9/16, 
  -11/16, -1/8, -3/4, -1/24, 5/12, 1/4, 1/3, -73/24, -1/8, -5/6, 5/6, 0, 
  -227/16, -65/8, 0, 0, 10/3, -775/54, 1, -5/2, -1, 11/2, -1/2, -3/2, -23/6, 
  247/12, -2/3, 25/3, 1, 0, 0, 0, 0, -5/2, 0, 0, 0, -1, -49/8, 5/24, -19/2, 
  0, 19/2, 107/12, -3/4, 53/4, 1/4, 775/108, 991/216, 775/72, -31/24, 31/24, 
  -413/216, 11/8, 3/8, -33/8, 19/8, -19/8, -73/24, 73/24, -7/3, -27/8, -3/8, 
  0, -1, 0, 0, -2, 2, -1, 1/3, 3/8, -1931/72, -39/16, -41/16, -41/16, 33/16, 
  -21/16, 55/4, 121/144, -109/16, -49/16, 13/8, 671/72, -13/36, 15/16, -39/4, 
  2, 13/16, 0, -109/16, 1/2, 13/16, -5, -109/16, -13/16, -11/2, 175/12, 0, 
  -163/12, 0, 17/3, -17/3, -5, 4, -3, -2, -3, -89/8, -113/8, -3, 81/8, -7/2, 
  43/24, -52/9, -3/2, 61/9, 365/72, -5/12, 1/2, -7/3, 0, -1/2, -47/36, 0, 
  -229/144, 775/54, -847/144, -101/16, 683/72, 189/16, 0, -189/16, -56/9, 
  -1517/432, 0, 0, -47/9, -3181/216, -4/3, 1/6, 37/12, -79/4, 4, 51/4, -3/2, 
  1/6, 3/2, -8/3, 1/6, 5/6, 1/2, 47/24, 2/3, 3/8, -11/24, -3/8, -1/4, -1/48, 
  -17/24, 5/3, 139/48, -19/96, 5/6, -5/24, 5/8, -13/24, -17/72, -1/8, -3/2, 
  44/3, -11/9, 2/3, 5/24, -5/8, 29/72, -17/24, -1/18, 35/48, -3/16, -35/48, 
  3/16, -3/4, -13/144, -515/144, 29/16, -131/144, 2/3, -11/12, 3/2, -5/3, 
  49/8, -11/4, -5/24, 13/24, -23/24, 1/8, 1/3, 1/8, -1/3, -1/4, -1/4, -1/3, 
  -13/8, 1/8, 5/6, -5/6, 685/108, 0, 0, 233/144, 1/4, 37/24, -25/36, 
  -679/288, -163/144, -1/8, -3/8, 5/8, 139/288, -11/16, 3/4, 1/12, -33/16, 
  -3/4, -37/96, 97/96, -5/32, -35/12, -13/12, 39/16, 35/48, -1277/144, -2, 
  -11/144, 679/144, 1313/144, -637/144, 25/48, -1/18, 25/48, 35/8, 1/2, 
  163/48, -5/9, -299/144, -29/16, -17/6, -15/8, 1/3, 23/16, 203/24, 31/48, 
  -1/8, 57/16, 3, 5/6, 725/144, 47/32, 139/48, -11/9, 0, 1153/144, -25/48, 
  121/144, -1/36, 13/48, 205/72, 17/16, -53/36, -9/4, 37/8, -1/36, -71/16, 
  -49/18, 1/48, 11/24, 77/48, -7/9, 1/4, 353/144, -47/48, -7/8, -25/72, 1/8, 
  -41/16, -187/24, 109/72, 37/16, -575/144, -65/48, -5/36, 323/144, 1/36, 
  -7/48, -5/8, 0, -1/2, 0, -1/24, -1/4, 0, 1/2, -31/144, -41/144, -1/2, 
  -29/24, -3/4, -385/144, 397/144, 385/144, -289/144, 719/144, -41/4, 
  397/864, -2/3, -1775/864, 2/3, -5/3, -1/36, -2/9, 19/8, -77/8, 71/36, 47/8, 
  77/72, 2/3, 5/12, 29/72, 5/3, -27/8, 1/6, -1/2, -59/24, -149/24, -61/12, 
  11/24, -29/4, 133/12, -11/4, 2897/288, 31/16, 203/12, -731/144, 1591/24, 
  1039/72, 14/3, 35/8, 16/3, -8/3, -35/8, 433/36, 55/12, -1823/216, 775/72, 
  45/8, -45/8, -55/144, -3875/216, -13/12, 11/12, -2405/216, -31/24, -5/12, 
  775/48, -265/12, 3/4, 997/24, -301/72, 1/4, -2173/48, 41/8, -26/9, -61/72, 
  25/4, -17/9, -605/48, 143/24, 65/6, 983/48, -265/16, 81/4, -25/72, 1541/96, 
  -917/36, 6625/288, -11, 137/18, 7/18, -57/4, 19/2, -601/36, 437/144, 
  779/36, -4495/144, -23215/864, -35/8, -3035/72, 13/2, 2027/72, 473/72, 
  -1/2, -1/2, -1/4, 0, 0, 0, -1, 0, 0, 0, 0, -1/2, -1/3, 1/2, 1/2, 1/2, 1/4, 
  0, -1/2, -1/2, 1/2, 3/2, 0, -1/2, 0, 0, 0, 0, -1/4, 5/4, 0, 0, 1/6, 0, 1/4, 
  -1/4, 1/2, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/6, -1/3, 0, 0, 0, 
  -1/32, -13/24, 0, -5/16, 13/24, 11/32, 3/16, 1/24, -13/16, -13/32, -1/12, 
  -1/6, 0, 0, 7/32, -7/24, 15/32, -85/96, -11/32, 5/32, 5/32, -5/3, -7/12, 
  2/3, 13/6, -1/32, -7/24, 0, -5/16, 7/24, 11/32, 3/16, -17/24, -1/16, 
  -13/32, 1/4, -1/12, 1/12, 5/4, 0, 0, 0, 0, 9/32, -17/24, -5/32, -13/32, 
  -1/96, -1/24, -19/96, 41/96, 5/24, 1/2, 0, -1/2, -1/4, 0, -1/3, 1/4, 1/12, 
  13/12, -1/3, -1/32, -7/24, 15/32, -13/96, -11/32, 13/32, -19/32, -13/6, 
  -7/12, 1/4, 23/12, 0, -1/32, -7/24, 5/32, 13/32, 0, 1/32, -29/48, 1/96, 
  175/96, -5/48, -1/16, 1/4, -3/16, 3/4, 13/48, -1/32, -7/24, -1/16, 7/24, 
  3/32, -3/32, -21/32, 0, 1/32, -9/32, -5/32, 31/96, 0, 0, 11/48, 7/24, 7/32, 
  103/96, -1/4, -103/96, 7/32, -7/24, -3/32, 5/32, -107/96, 0, 15/32, 0, 
  35/96, 59/96, 1/12, -59/96, 1/32, -1/4, -5/32, 13/24, 0, 0, 1/2, 71/96, 
  7/32, 77/48, -1/6, -77/48, -3/32, 1/2, -1/32, 7/32, -4/3, 13/24, 0, 1/12, 
  667/144, 667/432, -7/8, 3/8, -227/144, 817/288, 0, -817/288, -889/288, 
  55435/1728, 7/12, -7/12, -1/4, 1/12, 3/4, -3/4, -3/4, -883/432, 883/432, 
  739/144, 1141/432, -49/108, -181/54, -559/216, 559/216, 451/144, -1531/432, 
  1/2, 0, -1/2, 595/144, 19/432, -77/27, -335/108, 181/54, -1/2, -2, 4/3, 
  5/8, 1/2, 3/4, -3/4, -5/8, -4085/432, -1/4, 3/8, 0, -13/16, -4085/432, 
  431/48, 15/8, -2311/216, 0, 0, 0, 0, 1/2, 0, 13/16, 1/18, 155/144, 1/4, 
  1/18, -109/144, -1/18, 4/9, -1/4, 43/144, 1/9, 59/36, 23/36, 1, 3/2, -1, 
  -11/16, 59/36, -1/12, 23/6, -1/12, -15/16, -275/144, 5/36, 7/18, -23/36, 0, 
  -1/2, 0, 1/2, 0, 0, 43/12, -1/2, -55/12, 2/3, 65/24, 0, 1/2, 0, -5/2, 
  -43/48, 1/4, 55/48, 43/48, 0, 191/192, 0, 11/96, -191/192, -745/288, 
  745/288, -281/288, -9/4, -115/72, 143/72, 1007/144, -2045/216, 13/4, 0, 
  -13/4, -7/2, 15941/432, 191/288, 0, -191/288, -7/2, 30367/864, 1/2, 37/24, 
  -13/2, 4/3, 23/4, 527/72, 7/12, 0, -7/12, -3/4, -7/12, 0, 0, -1/4, -1/4, 
  1/4, 1/4, -3/4, -7/4, 1, 1, 0, -11/4, 11/4, 15/4, -1/4, 0, 1/4, 7/4, 
  -8567/432, -1/2, 1, 119/288, -119/288, -119/288, 7753/1728, -119/288, 
  8479/1728, -1/2, 0, -1/2, -1/12, -3/2, -3/2, 7/4, -7/4, -3/2, 0, 0, 0, 
  109/432, -259/48, -9/2, 9/2, 13/2, -4/3, 4/3, 4, 389/108, -739/432, 
  -1327/216, -389/108, 1391/216, -253/432, 1/3, -389/108, 397/432, 1/3, -1/3, 
  -1/2, 11/6, -1, -3/2, 7/4, -1, 3, -1/2, 1, -1/4, -1/2, 0, -5/2, 0, 0, 0, 
  1/2, 137/144, 4/9, 155/144, -7/18, -14/9, -161/144, 1, 19/18, -59/36, 5/12, 
  -641/144, 1/12, 19/18, 335/144, -8/9, -209/144, 3/2, 17/9, -59/36, -1/4, 
  -473/144, 1/12, 7/18, 311/144, -1/3, -1/2, 1/2, -1/6, -97/96, 239/96, 
  337/192, 97/48, 241/192, 11/96, -47/192, -39/64, -265/96, -107/48, 43/48, 
  145/192, 65/48, 71/96, -87/64, 43/24, -2, -79/24, -1/24, 119/48, -25/32, 
  -431/96, -473/192, -95/48, 595/192, -11/96, 239/192, 71/64, 97/96, -1/4, 
  145/72, -145/72, -119/288, 119/288, 115/96, -119/288, 119/288, 115/96, 
  -9/4, -115/72, 107/72, 1079/144, -1937/216, -9/4, -115/72, 7/2, 1079/144, 
  -593/54, 119/288, -119/288, -119/144, 2029/216, -1/4, 1/4, -1/4, 31/24, -7, 
  4/3, 23/4, 545/72, -1/2, 0, 1/2, 7/12, 3/2, -15/2, -3/2, 23/4, -23/4, 
  -23/4, -7/4, 0, -7/4, -23/4, -1/2, 0, -7/4, 1/2, 11/4, -1/4, 0, 1/4, -3/2, 
  -29/12, -5/32, -377/432, -1/16, 377/432, 7/32, 13/16, 21/4, -457/432, 
  -21/32, 521/432, -13/24, -1369/216, -77/96, 53/72, -7/8, -7495/864, 39/8, 
  19/16, 103/96, 109/48, 7/16, -1133/216, -583/192, -11/32, 1/32, 131/96, 
  91/48, 25/32, 47/96, -11/16, -3/16, -169/48, 65/144, 13/32, -271/288, -3/8, 
  11/18, 107/32, 2/9, -609/128, 1/2, 19/8, -35/32, 1/6, 541/288, -1/6, 
  -113/144, 517/144, -785/144, -3583/1728, 59/144, 34985/1728, 251/288, 
  -63049/1728, 5/6, -1/4, -4/3, 67/96, -85/24, 29/32, 97/32, -103/48, 29/8, 
  13/12, 257/144, -563/144, -3/32, 7/8, 21/16, -7/8, -39/32, 5/16, -5/8, 
  5/16, 1/32, -7/24, -4117/108, 7/24, -7/3, -1933/864, 17/32, -565/864, 
  -5/32, -679/216, 2365/864, 33/16, 577/96, -3/16, -17/8, 1/8, 17/8, 1/16, 
  15/16, 31/8, 1/16, -3/4, 479/108, 73/48, -383/48, -5/24, 5/24, 0, 31/8, 
  1/6, -3/4, 4/3, -23/4, 1, 11/32, 27/32, -11/32, 1, 0, -91/64, -115/64, 
  43/64, -9/16, 29/48, -7/8, 83/6, 39/8, 39/16, 27/16, 539/192, -7865/864, 
  -12313/1728, -797/192, 21/64, -9/16, 29/48, 1927/144, 39/16, 0, 9/16, 
  -7943/864, -73/16, -761/192, 5927/864, -641/288, -65/48, -15/32, -33/32, 
  11/32, 47/16, 13/36, 1/4, 311/288, 13/24, -4/9, -995/288, -2/9, -53/96, 
  103/48, -15/32, -259/288, 11/32, 19/16, -13/48, 125/96, -1/3, -29/36, 
  -1229/288, -1/4, 49/96, 193/48, 15/32, -59/96, -11/32, -77/32, -107/96, 
  -2/3, -23/24, 1/18, 5/48, -1/36, 23/96, 193/48, -31/96, 3/16, -77/32, 
  -13/48, -23/96, -61/48, 19/96, 65/96, -47/72, -211/96, -925/384, 1057/192, 
  1153/192, 2011/384, 111/16, -5075/384, -16/3, 0, 475/144, -161/48, 
  -9197/1152, -139/96, 1/4, -2129/576, 859/192, -1/4, 143/48, 409/192, 
  -239/192, -527/96, -23/8, -575/384, -461/96, 33/32, 619/192, 175/96, -19/8, 
  1351/192, -27/8, -5455/1152, 133/32, -1/4, 3635/576, -11/24, -131/48, 
  1697/288, -337/384, 151/96, -353/192, -163/64, 47/32, -129/64, 19/288, 
  -19/288, 257/288, -59/48, 373/288, -75/32, 115/144, 829/288, 697/144, 
  367/96, 7/48, -14987/432, -625/144, 27127/864, -67/32, 67/32, 121/72, 
  12787/1728, 1/36, -8225/576, -601/96, -8939/1728, 121/72, 11521/1728, 1/36, 
  -7757/576, -601/96, -6725/1728, 1/4, -1/4, -19/24, 7/24, 13/24, 1/96, 
  -83/24, 89/96, 103/32, 1/4, -1/96, 145/18, -125/96, -499/96, -295/72, 
  -211/96, 55/8, -7/32, -181/32, -1141/144, 0, -1/8, -1/3, 1/2, 1/3, -3/8, 
  1/4, 1/3, -25/4, -1/8, -5/6, 5/6, 5/6, -11/8, 1/3, -1/8, 41/24, 7/8, -1/8, 
  -7/8, 11/8, 5/6, 10169/432, -11/8, 9/32, 7/24, 1/16, -7/24, -11/32, -23/16, 
  -103/24, -79/16, 45/32, -11/2, -6191/432, 11/2, 0, 0, -17/32, -103/24, 
  5/32, 45/32, 0, 37/12, 5/24, -5/24, 13/32, -7/12, -1/32, -33/32, 3/4, 
  -9/16, 23/72, 141/16, 23/16, -11/32, -589/288, 0, -1/2, 11/32, -1/12, 1/32, 
  -1/24, 1/16, -1/48, -3/32, -3/32, 13/96, -1/32, 587/288, 5/32, -5/32, 0, 0, 
  1/24, -3/8, -15/32, -365/288, 1/4, 119/96, 35/128, 239/192, 0, -2407/576, 
  -127/192, -1/8, 2933/1152, -11/48, 1/4, 4711/1152, -1037/192, -1279/384, 
  -119/192, -131/384, -1/2, -175/36, 1561/384, 1/4, 65/32, 0, -129/64, 85/48, 
  121/48, -393/64, -1/2, 27/64, 169/24, 85/48, -79/24, 101/64, 383/288, 
  -383/288, 67/48, 9/8, 1/96, -7781/1728, -29/288, 0, -1007/288, -13/24, 
  15785/1728, -1/12, -41/48, -1/4, -1/4, 19/24, -65/48, 21/8, -5/8, -9/4, 
  -13/24, -383/144, 1/8, 1/3, -1/2, -1/3, 3/8, -1/8, -13/32, -23/6, 25/32, 
  41/32, 5/6, -5/6, 20/3, -3805/1728, 0, 3805/1728, -7, 5837/192, 13/6, 
  -13/6, -31/144, 197/432, 119/96, -119/96, -3241/288, -775/432, 27/8, 
  -95/96, -1463/192, -1007/144, 44695/1728, -1/2, 2/9, -641/36, -51/8, 
  521/72, 39/32, 1727/864, 17/4, 301/32, 195/32, 5947/3456, 811/288, 
  7085/288, -36451/864, 25/18, -431/72, 37/18, 79/48, 359/144, -7/16, 25/48, 
  40801/1152, -577/72, 1847/432, 91/72, -283/96, 0, 283/96, 263/72, 
  -25609/864, -35/36, 1/36, 13/12, -19/36, 59/36, -1841/1728, 1841/1728, 
  -1127/288, 775/432, 0, -475/144, 775/108, 163/27, 136/27, -163/27, -136/27, 
  865/54, 3961/432, -883/432, -1319/108, -1553/216, -2669/432, 467/144, 
  601/108, 1333/216, -3185/144, -3695/432, 2923/432, 607/54, -173/288, 
  173/288, 97/96, -4, -311/144, -9781/1152, 1331/144, -5875/1152, -1037/1728, 
  0, 1037/1728, -623/144, 22175/1728, -5567/1728, 0, 5567/1728, -623/144, 
  13901/1728, 53/8, -5/24, -763/432, -1/3, 389/54, 835/432, 55/12, 0, -55/12, 
  -7/3, -251/216, -53/8, -9/8, -11/8, 112859/3456, -427/216, 805/864, 
  -805/864, -3689/864, -775/144, 5/24, -5/24, -197/864, -43/32, -31/32, 
  83/32, -11/18, -67/36, 139/36, 115/36, -19/12, 137/144, 175/36, -377/96, 
  -27/4, -735/64, 1459/96, 101/192, 605/96, 6623/216, -13/192, -1793/48, 
  50179/1728, -3/2, -5/4, 49/16, 341/288, -24077/1728, -1223/144, 58145/1728, 
  49/16, 341/288, -27557/1728, -1223/144, 61625/1728, 1, 1, -35/16, 7, 
  367/48, -9/2, -12589/432, 3/4, -3/4, -7/8, 7609/432, 47/16, 57/16, 53/16, 
  -33/16, 65/32, 467/864, -415/432, 73/32, 33/32, 0, 2291/864, -623/72, 
  -107/32, -797/864, -35/576, -425/144, 817/288, -5917/288, 17371/1728, 
  -17/6, 43/12, -53/36, 145/144, -121/48, 101/48, 139/48, -13291/384, 109/16, 
  -1739/432, 3/8, -505/288, 10/9, 29/24, -1859/288, 11/4, -2335/144, 251/36, 
  -3355/1728, -793/144, 37/16, 4433/288, -2585/144, 1535/1728, -793/144, 
  1847/288, 4433/288, -911/48, 31/36, -49/36, -31/36, 1/4, 773/144, -53/36, 
  -23/18, -539/144, 41/24, -95/8, 4/3, 81/8, 457/72, -3, 11/4, 3, 17/24, 
  -39937/1152, 671/72, -775/216, 11/3, 35/36, -12971/384, 431/72, -389/108, 
  101/16, 77/16, -3/2, -45/8, 97/144, -19/24, 107/144, 7/12, -53/9, 103/144, 
  -787/48, -18581/2304, 85207/1152, 1965/64, 649/72, -8213/1152, -865/288, 
  -3749/576, 5045/2304, 2305/288, 12803/1152, -4051/144, -1427/72, 
  -7873/1152, 61/288, -3875/2304, 9625/1152, 491/72, 4703/2304, -649/72, 
  7067/1152, 865/288, 3683/576, -2177/2304, 275/288, 187/96, -187/96, 1, 
  559/288, 275/288, -809/288, 895/36, 11153/144, -587/72, -431/144, 743/144, 
  2467/288, 8747/1728, -431/144, 2467/288, -5551/1728, 1/4, -1/4, 37/96, 
  -775/36, 3/4, 847/96, 271/32, -707/48, 11/4, -197/12, 0, 197/12, 809/72, 
  7/24, 0, 0, 0, 665/72, 883/72, -1/36, -17/36, 37/36, -1/4, 7/4, -37/8, 
  251/8, -6, -157/8, -11/4, 23/18, -2/9, -7/6, 53/36, -9947/432, -2/9, -7/9, 
  2/9, -241/96, -1/3, -5/16, -1595/288, -169/48, 1/8, -107/96, 133/96, -5/6, 
  4019/864, 515/1728, -7/12, 67/108, -5/16, 15/32, -3163/864, -3/32, 
  1261/432, -4841/288, -49/864, 4651/864, -943/432, 5/16, 67/36, 859/72, 
  1/36, -67/32, -239/144, 24409/1728, 239/144, -20791/1728, 2005/288, 
  -1741/288, -6241/432, -14033/1728, 319/144, 775/432, -5/24, 5/24, 73/96, 
  -79/12, -159/32, 237/32, 5/12, -5/24, 3505/432, -5/24, 5/24, 505/96, 
  -775/108, 745/288, 41/24, 7/8, -2873/256, -39/8, 601/288, -731/288, -1/4, 
  -775/288, 265/216, 1229/216, 1777/576, 83/288, 679/192, -3007/576, 175/384, 
  24139/1728, 3133/384, -401/32, 729/64, -949/48, 1333/64, 671/128, 371/576, 
  15275/3456, -3373/384, 27551/3456, 43/16, -215/288, 143/192, -1853/288, 
  -83/32, 491/288, 7153/216, 1709/288, -59519/1728, 17/24, -31/8, -1241/144, 
  -17/16, -1/4, -17/24, 1759/144, 1283/144, 93/32, -1201/144, 245/96, -1/3, 
  23/8, -199/54, -191/8, 1/8, -281/48, -257/96, -5/6, -5843/864, -113/192, 
  -1/32, 23/288, -7163/576, 515/288, 113/144, 3/32, 229/72, 3125/1152, 
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  -15/8, 0, 11/8, 1, -1, -5/2, 1/2, 5/2, -1, -1/2, 2, 3/2, -1/2, 9/4, 1/4, 
  -2, 0, -9/4, -1/2, -1/2, -1/2, 1/2, -1/2, 1/4, -1/4, 5/4, 1/4, -1/2, 1/2, 
  -1/4, 7/4, -5/4, 5/4, 0, 1, 0, -9/4, 1/2, 0, -8, -7/4, -3/2, 3/2, 3/2, 
  -9/4, 0, -9/4, -21/4, -1/4, -7/4, -11/4, 5/4, 3/2, 33/4, -5/4, 2, 4, -4, 
  -4, 2, -2, -4, -9/2, 0, -43/4, 35/4, 43/4, 0, 0, -1, -4, 3/2, 0, -9/4, 0, 
  3/4, -1/4, 3/2, -5/4, 0, 1, 0, 1/4, -7/4, -15/8, -9/4, -9/8, -21/8, 3/2, 
  -3/2, 5/2, -9/2, 0, 1/4, -7/8, -17/16, 0, -17/16, 1/4, -7/8, -3/16, -1/16, 
  3/4, -1/4, -1/16, 21/8, -1/8, -7/8, -1/4, -1/4, -1/2, -1/2, 1, -3/8, -3/4, 
  0, -1/8, 1, 1/4, -1/4, -9/8, 3/8, 1/8, 1/4, 3/4, -1/4, -1/4, 1/2, -1/4, 
  -1/2, -1/2, -19/80, 7/4, -2, -3/4, 7/10, 5/4, -1/2, 5/8, -5/8, -1/4, -3/4, 
  -11/4, -37/24, 11/4, 1/4, -5/4, 11/4, 29/12, -1/4, -5/2, -1/2, -1/2, -1/2, 
  1/2, 1/8, 0, 9/8, 3/2, -3/4, -5/4, 0, -5/4, 3/4, 1/4, -5/8, 0, -1/2, 0, 
  9/8, -7/8, -19/8, -25/8, 5/8, -5/8, -5/4, 3/4, -1/4, -3/4, -1/2, 0, 13/2, 
  7/4, 3/2, -3/2, 0, 135/8, 45/4, 0, 0, -16, 155/3, -4, 11/2, 3, -4, 5/2, 
  11/2, 1, -31/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -1, 12, 0, -12, 
  -11, 9, -14, 2, -155/6, -155/12, -155/4, 3, -3, -11/3, -23/2, -11, 45/4, 
  31/4, -19/4, -31/4, 31/4, 3, -19/4, -161/80, 0, 0, 0, 0, 2, -2, -2, 0, 
  -17/4, -127/4, 79/8, 77/8, 85/8, -45/8, -11/8, 45/2, 63/8, 101/8, 45/8, 
  27/4, 63/2, -5/4, 41/8, -113/4, -4, 3/8, -2, 13/8, 0, 3/8, -2, 13/8, -3/8, 
  -37/2, 12, 2, -14, 0, 41/2, -41/2, -37/2, -8, 6, 4, 6, 63/4, 87/4, 6, 
  -63/4, 6, -5, 95/12, 3, -119/12, -33/4, -13/2, -3, -3/2, 0, 0, 3/2, 0, 
  37/8, -155/3, 35/8, 133/8, 19/4, -157/8, 0, 157/8, 7, 565/24, 0, 0, 7, 
  497/12, -4, -6, 57/2, 57/2, -8, -29/2, 3, -6, -3, 11, -6, 3, 8, 17/12, 0, 
  7/4, 25/12, 7/4, 7/2, 71/24, 25/12, -3, -27/8, 35/48, -2, 3/4, 3/4, 15/4, 
  13/4, -11/4, 0, -16, -2, 2, -3/4, -3/4, -1/4, 7/4, 0, -33/8, 11/8, 33/8, 
  -11/8, 1/2, -3/8, 35/8, -5/8, 19/8, 2, -3/2, -3/2, 3, -2, 5/2, 1, -5/4, 
  9/2, 5/4, 0, -2, 0, 3/4, 1/2, 0, 1/3, -7/4, -3/2, 3/2, -73/3, -3/2, -1/2, 
  41/24, -1/2, 7/3, 3, -163/48, -1/8, -3/4, 33/4, 7/4, 123/320, -1/32, 5/2, 
  57/20, 29/40, 1, 31/16, -17/16, -243/320, 9/10, 7/8, -55/8, -7/8, 51/8, 
  23/4, 41/8, -667/8, -55/8, 669/8, 125/8, 1/2, -19/8, -1/4, -1, 47/8, -5/2, 
  27/8, 15/8, 11/2, 17/2, 0, 129/8, 51/4, -15/8, 7/4, 77/8, -19/4, -3/2, 
  -23/8, -103/16, -181/24, 1, -1/2, -245/24, 3/8, -41/8, 0, 1/8, 11/12, 7/8, 
  -35/12, -19/2, -31/4, 71/12, 35/8, -19/6, 13/8, -11/4, 43/8, -3/2, -8, 
  -307/24, -3/8, -7/4, 5/4, -1/4, 77/8, 51/4, -23/4, -13/8, 55/8, 27/8, 1/2, 
  -27/8, 0, -9/8, 7/4, 1, 259/160, 19/40, 15/4, -1/10, -29/10, 0, 7/8, 1/8, 
  1, 3/4, 3/2, 15/8, -33/8, -15/8, 21/8, 15/8, 25/4, -721/48, 0, 835/48, 
  -3/4, 3, 1, -1/2, 51/4, 55/4, -5/2, -25/4, 11/2, 0, 1/4, -13/6, -3, 9/2, 0, 
  5/4, -3/2, -145/4, 12, -17/4, 5/4, -75/4, 7/2, -1531/16, -5/8, -70, -199/8, 
  -273/4, -297/4, 41/2, -65/4, 37/2, 18, 65/4, -2, -20, -131/12, -155/4, 
  -717/8, 717/8, -15/8, 775/12, 0, 6, 95/6, 61/4, -41/2, -171/8, 33, 27/4, 
  -235/4, 25/4, 7/2, 533/8, 129/4, 2, -37/10, -49/10, 3, 41/8, -9/2, -33/4, 
  -43/8, 2195/8, -37/2, 5/2, 793/16, 41/2, -4381/16, -64, -19/4, 9/4, -15/2, 
  -67/4, 579/8, -73/24, 61/2, 1003/24, 3527/48, 23, 701/12, -10, -365/12, 
  -25/2, 1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, -1/2, 1, 
  1/2, 1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 
  -1/2, -1, 0, -1/2, 0, 0, 1/2, 0, -1/2, 0, 0, -1/2, 0, 0, -11/16, 1/2, 0, 
  9/8, -1/2, -7/16, -3/8, 0, 5/8, 17/16, -1/2, -1/2, 0, 0, -11/16, 0, -3/16, 
  7/16, -1/16, -1/16, 7/16, 1/4, 1/2, 1/4, -1/4, -11/16, 0, 0, 9/8, 0, -7/16, 
  -3/8, 0, 1/8, 17/16, -1/4, -1, -1/4, 1/4, 0, 0, 0, 0, -5/16, 0, 1/16, 
  17/16, -1/16, -1, -11/16, 5/16, 1/2, 0, -1/2, 1/4, 1/4, 0, 1/2, 0, 0, -1/2, 
  1/2, 5/16, 0, 5/16, -9/16, -9/16, 15/16, 7/16, 1/2, 3/4, 1/4, -1/2, 0, 
  5/16, 0, -9/16, 15/16, -1/2, -5/16, 7/8, 25/16, -9/16, -3/8, 5/8, 0, -1/8, 
  0, 1/8, -11/16, 0, 5/8, 0, 1/16, -1/16, 1/16, -1/2, 11/16, -3/16, -23/16, 
  -5/16, 1/2, 1/2, 1/8, -1/4, -19/16, -1/16, 1/2, 1/16, 5/16, 0, -9/16, 
  15/16, 5/16, 1/2, 1/16, 1/2, -5/16, -1/16, -1/2, 1/16, 11/16, -1/4, -23/16, 
  1/4, 1, 1/2, 1/4, -9/16, -19/16, 3/8, 0, -3/8, 7/16, 1/4, 5/16, -19/16, 
  -1/4, 1/4, 1/2, -1/2, -155/8, -155/24, -1/8, 1/8, 181/24, -9/16, 0, 9/16, 
  1/16, -3533/96, 1/2, -1/2, 0, 1/2, -3/2, 3/2, 3/2, 155/24, -155/24, -155/8, 
  -107/24, -101/12, 5/6, 155/12, -155/12, -155/8, 155/24, 0, 0, 0, -155/8, 
  -155/24, 7/12, 1/12, -5/6, 0, 0, 0, 5/8, 0, -1, 0, -3/8, 151/12, -1/4, 3/8, 
  0, -1/8, 151/12, -23/2, -33/8, 419/24, -1/2, 0, 0, 1/2, 0, -1/2, 79/24, 0, 
  -181/24, 0, 0, -79/24, 0, 0, 0, -151/24, -1/4, -1, -1, -1/4, -11/4, 3/4, 
  163/24, -1, 1/2, -7, 0, 187/24, 181/24, -3/4, -1/4, 1, 1/2, 1, 0, -1/2, 0, 
  -1/2, -81/40, 21/80, 459/80, 177/40, 0, -1, -5/2, 0, 1, 101/160, -141/320, 
  -101/160, -101/160, 0, -149/40, 139/40, 57/64, 149/40, 1/16, -1/16, 1/16, 
  11/2, 0, -13/4, -17/8, -65/9, -1/2, 0, 1/2, 0, -3781/72, -7/16, 0, 7/16, 0, 
  -7553/144, 1/2, 53/4, 15/2, 0, -5, -6, 1/2, 0, -1/2, 0, 1/2, 0, -1/2, -1/2, 
  1/2, -1/2, -1/2, 3/2, 7/2, -3/2, -3/2, 0, 11/2, -11/2, -11/2, 1/2, 0, -1/2, 
  -5/2, -25/24, 1, -3/2, 1/16, -1/16, -1/16, -4525/288, -1/16, -4543/288, 
  1/2, -1/2, 0, 0, 3, 3, -7/2, 7/2, 7/2, 0, -1/2, 0, -71/24, 175/24, 0, 0, 0, 
  0, 0, 0, -13/12, 155/24, 55/12, 13/12, -55/4, 71/24, 0, 13/12, -71/24, 0, 
  0, 0, 0, 5/4, 5/4, 0, 5/4, -5/4, 1/4, -3/4, 0, 1/4, 2, 1/4, -1/2, 0, 0, 0, 
  61/24, -1/4, -181/24, 1, 1/4, -79/24, -3/4, -1/4, 1, 1, 23/24, -3/2, 1/4, 
  -181/24, 5/4, -67/24, -5/4, -5/4, 1, 1, 11/24, -5/2, 1/4, -181/24, -1/2, 1, 
  -1, 0, 237/320, -1333/160, 3883/320, 83/160, 1013/320, 137/64, 693/320, 
  -1979/320, 141/320, 19/320, -141/160, 1013/320, -11/2, 717/320, -49/40, 
  -241/80, 541/160, 37/32, 25/16, -1/2, 727/320, 179/20, -2637/320, -169/32, 
  -2133/320, -121/64, -1333/320, 909/320, -941/320, 141/320, -1/4, 1/4, 
  -1/16, 1/16, -1/16, -1/16, 1/16, -1/16, 5, 0, -5/4, -25/8, -157/18, 5, 0, 
  -3/2, -25/8, -305/36, 1/16, -1/16, -1/8, -2267/72, -1, 1, -1/2, 51/4, 17/2, 
  -3/2, -9/2, -6, -1/2, 2, 1/2, 0, -3, 15, 3, -23/2, 23/2, 23/2, 7/2, -3/2, 
  7/2, 12, 3/2, 0, 7/2, -1/2, -4, 1/2, 0, -1/2, 3, 4, -7/16, -95/24, 5/8, 
  95/24, -3/16, -1/8, -17/2, -193/24, 9/16, 95/24, -1, 185/12, 45/16, 0, 7/8, 
  631/48, -85/16, 1/8, -41/16, -5/4, -1, 113/12, 37/32, -1/16, 11/16, -21/16, 
  -27/8, -5/16, -41/16, -1/8, 3/8, 37/8, -1/8, -17/16, -5/16, 83/12, 0, 
  -685/48, 0, -9197/2560, -13637/1280, 461/320, 55/16, -1/8, -89/16, 1/8, 
  17/8, -1/2, 1/2, -1891/96, 0, 635/32, 23/16, 377/32, 1, 1/2, 0, 95/16, 4, 
  7/16, -53/16, -57/8, -15/4, -1, -1/2, 5/4, 31/16, -1/2, -21/8, 1/2, 11/16, 
  -5/8, 0, -21/8, -21/16, -7/4, -10/3, 7/4, 7, 25/48, -5/16, 23/16, 9/16, 
  11/6, -37/48, -3/8, -353/48, -9/8, 4, 3/4, -4, 3/8, -3/8, -15/2, 11/8, 3/2, 
  5/6, -11/8, 45/8, 1, -1, 0, -15/2, 1, 3/2, 0, 11/2, -1/2, 1/16, -7/16, 
  -1/16, -7/4, 3/4, 47/32, 27/32, 1/32, 7/2, 0, 5/8, -265/16, -81/16, -29/8, 
  -19/8, -57/32, 701/48, 1033/96, 55/32, -1/32, 7/2, 0, -265/16, -29/8, -1/4, 
  3/4, 689/48, 71/16, 99/32, -383/48, -197/48, 29/8, -5/16, 57/16, 9/16, 
  -39/8, -1/2, -1/2, -3/16, -83/12, 1/2, 709/48, 0, -17/16, -27/8, -5/16, 
  75/16, -7/16, -11/8, -1/8, -3/16, 77/12, 1/4, 419/48, 0, 9/16, -53/8, 
  21/16, 17/16, -17/16, 73/16, 5/16, -1, 77/6, -1/4, -121/24, 0, -37/16, 
  -53/8, 17/16, 1/8, 73/16, -9/8, -15/16, 305/24, 11/16, -317/48, 1/2, 
  2103/320, -4533/320, -10809/640, 63937/2560, 10357/2560, -3519/320, 
  35629/1280, -1407/160, -1/2, -23723/1920, 267/32, 21587/1920, -491/128, 1, 
  2021/384, -1157/640, 5/2, -299/32, 13971/1280, 227/64, 13583/640, 
  -16543/1280, -39609/2560, 963/160, -331/160, -6617/320, 133/40, 19/40, 
  -1211/160, 1, 99983/3840, -933/160, -2, -223693/7680, -203/80, 331/32, 
  -461/120, -28501/1280, 5/8, 419/64, -7917/1280, 59/16, 879/160, 13/16, 
  -13/16, -49/16, 33/8, -53/16, 55/16, -1, -21/16, -3/2, -81/16, 3, 463/24, 
  1/2, -803/48, 3/16, -3/16, -1/4, -5875/288, 0, 3709/96, 35/16, -427/96, 
  -1/4, -5965/288, 0, 3745/96, 35/16, -481/96, -1/2, 1/2, 7/4, -3/4, -5/4, 
  133/16, 9/2, -23/16, -59/16, 0, -133/16, -77/8, 35/16, 61/16, 39/8, 
  -203/16, -9, 27/16, 81/16, 45/8, -1, -5/4, 0, -1, 0, 9/4, -1/2, 0, 31/2, 
  7/4, 3/2, -3/2, -3/2, 17/4, 0, 9/4, -5/4, 1/4, 7/4, 17/4, -5/2, -3/2, 
  -131/24, 5/2, -29/16, 0, 11/8, 0, 7/16, 23/8, 8, 79/8, -17/16, 29/4, 
  -223/24, -29/4, 0, 0, 29/16, 8, -1/16, -17/16, 0, -13/4, -1, 1, 23/16, 3/2, 
  -3/16, 21/16, -7/4, 15/8, 0, -45/4, -19/8, -1/16, 87/16, -1/2, 1/2, 1/16, 
  1/2, 11/16, 7/4, -1/8, 1/8, -1/16, -1/16, 5/16, -11/16, 203/48, 15/16, 
  -3/16, -1/2, -1/2, 0, 3/4, 27/16, 9/16, -1/2, -9/16, 1953/1280, -227/64, 
  1/2, 27385/1536, 227/64, -81/80, -79567/3840, -361/160, 2, -20677/1920, 
  3001/320, 7257/1280, -2867/2560, -26419/2560, -3/2, 851/480, 2029/1280, 
  -1/2, -399/320, 1/4, -143/160, -3/8, -121/40, 937/320, -1/2, 5693/1280, 
  -4533/320, -11/8, 3/2, -619/160, -15/16, 15/16, -1/8, -11/4, 51/16, 
  3961/288, -51/16, -1/2, 9/16, -1/4, -2129/288, 1/2, 3/8, 1/2, 1/2, -7/4, 
  -47/8, -17/4, -1/4, 5/2, 5/4, 2, 5/4, 0, 1, 0, -9/4, 7/4, 73/16, 25/4, 
  3/16, 3/16, -3/2, 3/2, -45/4, 4177/288, 0, -4177/288, 7, -3143/96, -3/2, 
  3/2, 43/8, 47/24, -101/48, 101/48, 1961/48, 155/24, -53/8, 1/16, 25975/288, 
  9/8, -8873/96, -29/2, 0, 87/4, 53/8, -53/4, -17/16, -485/48, -30, -163/16, 
  -135/16, -8903/576, -317/48, -1051/48, 8605/144, 20/3, -5/6, 37/6, -11/8, 
  -39/8, 251/24, -5/24, -17957/192, 26/3, -491/24, 2239/96, 9/16, 0, -9/16, 
  -1/4, 3551/144, -7/2, -1, -1/2, 5/2, -19/6, 1309/288, -1309/288, 111/16, 
  -155/24, 0, 163/8, -155/6, -7/4, 1, -2, 0, -743/24, -145/8, 107/24, 143/6, 
  -37/6, 23/8, 187/24, -2/3, 11, 257/8, 59/8, -1417/24, -53/2, -55/16, 55/16, 
  -55/16, 35/4, 27/8, 6121/192, -53/8, -12803/576, 2017/288, 0, -2017/288, 
  55/8, -5695/288, 3007/288, 0, -3007/288, 55/8, -4705/288, -13/2, 1, 119/24, 
  -1/2, -17/12, -125/24, -6, 0, 6, 2, -167/12, 7, -1, 5/2, -5743/64, -5/3, 
  -479/48, 479/48, 1099/48, 155/8, -1, 1, 739/48, 143/16, 125/16, -135/16, 
  25/12, -19/6, 7/6, 25/6, -47/12, 133/24, 7/6, 1817/320, 1539/320, 
  -9039/1280, -149/40, 2179/320, -22389/640, -31177/960, 76403/1280, 
  34787/640, -43783/960, 5/4, 5/4, -43/8, -1/16, 6805/288, 37/8, -3055/96, 
  -43/8, -1/16, 6877/288, 37/8, -3079/96, -3/4, 3/4, -91/8, -17/2, -21/2, 
  3/2, 883/24, 1, -1, 9/2, 535/12, -81/8, -87/8, -87/8, 45/8, 5/16, -1055/48, 
  -61/12, -95/16, -45/16, -17/4, -1247/48, 97/8, 29/16, 941/48, 3469/288, 
  157/24, -9/16, 1051/48, -6611/288, -41/4, -13/12, -17/3, 79/24, 35/8, 
  -163/24, -7/8, 17669/192, -135/8, 491/24, 19/4, 1/16, 0, -2, 653/48, 1/2, 
  359/24, -593/36, -793/288, 55/8, -5/8, -165/16, 539/36, -1567/288, 55/8, 
  -15/16, -165/16, 557/36, 37/12, -43/12, -37/12, -1, 59/24, -37/6, 1/4, 
  35/8, 51/4, -7/4, -2, 27/4, -6, -41/4, 45/4, 41/4, -61/6, 17669/192, -33/2, 
  155/12, -15/4, -29/12, 17429/192, -59/6, 25, -87/8, -51/8, 17/4, 13/3, 
  109/24, 2, 1/24, -1, 14/3, -7/8, 30733/640, 285793/7680, -37895/384, 
  -19083/320, -33593/960, 75259/3840, 32713/1920, -3943/384, 14563/1536, 
  -18487/480, -97447/3840, 10223/192, 20041/960, 59551/3840, 6331/384, 
  60607/7680, -24989/960, 8291/384, -13339/7680, 33593/960, -12191/768, 
  -7877/384, 3601/384, -97583/7680, 5/16, 23/16, -23/16, 0, -15/16, 5/16, 
  -167/16, -77/4, -2149/36, -13/4, -9/8, 17/8, 53/16, 4057/288, -9/8, 53/16, 
  6271/288, -1/2, 1/2, -47/16, 155/2, -3/2, -105/16, -375/16, -49/8, -4, 
  43/2, 0, -43/2, -29/4, -317/18, 0, 0, 0, -29/4, -316/9, 1, -1/2, 2, 9, 
  -7/2, -171/4, -185/4, 12, 89/4, 4, -8, 8, 4, -9, 91/24, 8, -7/2, -8, 25/48, 
  0, -1, 23/4, 75/16, -7/4, -15/16, -97/48, 3/2, -323/48, -295/96, 1, 103/24, 
  -3/8, -35/16, -301/48, 31/16, 11/2, 407/16, -13/48, -1465/48, -91/12, 3/8, 
  -1/4, -653/24, 0, 95/16, 31/8, -3755/96, -31/8, 3185/96, -13/16, 13/16, 
  65/36, 265/32, -3/8, -155/24, 1, -1, 193/16, 15/2, 71/16, -113/16, -2, 1, 
  -317/24, 1, -1, -359/48, 155/6, -45/16, -71/24, 5/8, 20213/384, 85/16, 
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  -21/16, 3/16, 5/3, 7/12, -5/4, -5/3, 0, 1/16, 13/24, 9/16, -21/16, 1/2, 
  -1/16, -1/12, -59/48, -47/48, -11/24, 1/8, -1/4, 1/8, -1/2, -5/24, 1/16, 
  37/24, 3/2, -37/24, -25/16, 11/16, 5/16, 1/2, -1/16, -1/16, -9/16, 1/48, 
  1/2, -1, 13/12, 53/24, 17/16, -71/48, 1/2, 71/48, -7/16, 13/24, 17/16, 
  -13/16, 43/48, -1/2, -31/16, -1/2, -19/48, -43/48, -5/6, 43/48, -1/16, 7/8, 
  -9/16, -17/12, 0, -1, -9/8, 23/48, 17/16, -37/24, -1/3, 37/24, -5/16, -9/8, 
  -5/16, 17/16, 4/3, -29/12, -1/2, -5/6, 691/72, 691/216, -9/8, 9/8, -515/72, 
  -185/144, 0, 185/144, 257/144, 23653/864, -1/3, 1/3, -1/2, -5/6, 0, 0, 0, 
  -475/216, 475/216, 619/72, 1219/216, 292/27, 683/108, -907/108, 907/108, 
  835/72, -691/216, -3/2, 0, 3/2, 835/72, 1555/216, 683/108, 737/108, 
  -683/108, 0, 0, -16/3, -1/8, 0, 1, 0, -9/8, -595/108, 0, 9/8, 0, 17/8, 
  -257/54, -133/24, 9/8, 217/216, 0, 0, 0, 0, 0, 1/2, -59/8, 1/9, 515/72, 0, 
  1/9, 539/72, -1/9, -1/9, 0, 439/72, -1/36, 19/36, 19/36, 1/4, -3/4, -1/4, 
  -55/8, 19/36, 1/12, -19/12, 1/12, -59/8, -563/72, 19/36, 1/36, -19/36, 0, 
  0, 0, 0, 0, 1/2, 181/60, -147/40, -779/120, -277/60, 1/6, 0, 2, 1, 0, 
  -121/240, 147/160, 121/240, 121/240, 0, 911/240, -53/20, -185/96, -911/240, 
  257/144, -257/144, 169/144, 7/2, -61/36, 161/36, 605/72, 691/27, -7/6, 0, 
  7/6, 13/6, 7847/216, -55/144, 0, 55/144, 13/6, 15889/432, 0, -77/12, 6, 
  -7/3, -6, -103/36, -5/6, 0, 5/6, -1/2, -7/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1/2, -893/216, -1/2, 3/2, -55/144, 55/144, 55/144, 
  7591/864, 55/144, 7633/864, 0, 1/2, 0, -1/6, 0, 0, 0, 0, 0, 0, 1/2, 0, 
  565/216, 25/8, 12, -12, -12, 16/3, -16/3, -12, -737/108, -331/216, 499/54, 
  737/108, 2/27, -493/216, -4/3, 737/108, 205/216, -1/3, 1/3, 0, -16/3, 0, 
  -1, 0, 0, 2, -1, 1, 0, -1, -2, -1, 0, 0, 1/2, 0, -493/72, 5/36, 515/72, 
  -19/36, -49/36, 451/72, 1/4, 49/36, -19/36, 7/12, 511/72, 5/12, 13/36, 
  551/72, -1/36, 547/72, 1/4, 1/36, -19/36, 5/4, 607/72, 17/12, -35/36, 
  455/72, 1/3, 0, 1/2, -1/3, 923/480, 2263/240, -4933/480, -1163/240, 
  -2263/480, -329/96, -2263/480, 943/160, 59/480, 161/480, 361/240, 
  -2263/480, 13/12, -37/480, 297/80, 241/120, -147/80, -37/48, 19/24, 7/12, 
  -629/160, -911/120, 4967/480, 329/48, 2303/480, 233/96, 2263/480, -293/160, 
  661/480, -147/160, -161/36, 161/36, 55/144, -55/144, -11/48, 55/144, 
  -55/144, -11/48, 7/2, -61/36, 161/36, 677/72, 718/27, 7/2, -61/36, -3/2, 
  677/72, 3517/108, -55/144, 55/144, 55/72, 1903/108, 1/2, -1/2, 0, -47/12, 
  6, -7/3, -7, -85/36, 1, -2, -1, -1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/2, 1/6, 5/16, 647/108, 1/2, -647/108, -13/16, 3/8, 
  -13/8, 539/54, -11/16, -1231/216, 5/12, -421/108, 7/48, -73/36, 13/8, 
  -4135/432, -9/2, -11/8, 25/48, 19/24, -5/2, 5/216, 5/96, 9/16, -1/16, 
  -217/48, -77/24, -47/16, 77/48, 21/8, -5/8, 29/6, 16/9, 11/16, 71/144, 
  -31/4, -16/9, 213/16, -1/18, 7079/1280, 2959/640, -267/160, 27/16, -19/8, 
  -191/144, 19/8, -13/36, 235/72, -11/72, 16283/864, 35/72, -14701/864, 
  -1267/144, -28531/864, -11/6, 0, 11/6, -131/48, 109/24, -31/16, -33/16, 
  143/24, -19/4, -1/3, 203/72, 319/72, -5/16, -35/8, 1, 35/8, -11/16, -17/8, 
  35/8, 5/4, 39/16, -19/12, -167/27, 19/12, -7/6, 2345/432, -1/16, -2461/432, 
  -9/16, 283/54, -2345/432, -41/8, -193/48, 3/8, -3/2, 1, 3/2, -11/8, 9/8, 
  1/4, -33/8, -3/2, -1187/108, -113/24, 187/24, 7/12, -7/12, 1/2, 1/4, -8/3, 
  -3/2, -16/3, 8, 3/2, -9/16, -1/16, 9/16, 1, -3/4, -23/32, -27/32, -9/32, 
  5/2, -1/24, 15/8, -59/6, -19/4, -21/8, -3/8, 11/96, 1537/432, 11/864, 
  43/96, 9/32, 5/2, -1/24, -683/72, -21/8, 1/4, -7/4, 1891/432, 29/8, 31/96, 
  197/432, 1105/144, 19/24, 15/16, -1/16, -17/16, -7/8, -1/36, 1/2, -175/144, 
  79/12, 10/9, -1805/144, 1/18, 1/48, -17/24, 15/16, -43/144, -9/16, 9/8, 
  5/24, -61/48, -20/3, 41/36, -923/144, 0, -173/48, -61/12, -31/16, 7/48, 
  25/16, 69/16, 79/48, 7/6, -167/12, -41/36, 119/24, -1/18, 17/48, -61/12, 
  -43/48, -3/8, 69/16, 59/24, 7/48, -131/12, -17/48, 287/48, 43/36, 
  -1693/480, 3323/480, 2689/960, -77177/3840, 30803/3840, 633/160, 571/1920, 
  2207/240, 0, 26803/2880, -137/24, -47887/2880, -613/192, 0, -3781/576, 
  577/960, -2, 179/24, -7591/1920, -629/96, -9283/960, 4441/640, 29729/3840, 
  -539/120, 187/80, 1981/240, -89/30, 167/20, 473/120, -1/2, -77563/5760, 
  261/80, 0, 318413/11520, 223/120, -191/24, 1097/360, 21281/1920, -7/6, 
  -605/96, -701/640, -7/2, -28/5, 61/144, -61/144, 1151/144, -77/24, 523/144, 
  35/16, -109/36, -263/144, 271/72, -119/48, -73/12, -1031/216, -199/72, 
  2491/432, 35/16, -35/16, -65/36, 493/864, 145/72, -6035/288, -343/48, 
  -22829/864, -65/36, 4303/864, 145/72, -6215/288, -343/48, -24179/864, 0, 0, 
  -7/12, 7/12, 7/12, -137/48, 23/24, -43/48, -47/16, -1/2, 137/48, -199/72, 
  7/48, 227/48, 65/36, 371/48, -37/8, -11/16, 93/16, 389/72, 1/2, 1/4, 10/3, 
  -1/2, -10/3, 1/4, 2, -10/3, -2, -9/4, 10/3, -10/3, -10/3, -1/4, -10/3, 
  -1/4, -31/12, -1/4, -9/4, -11/4, -7/4, -10/3, 443/216, 7/4, -1/16, -13/24, 
  3/2, 13/24, -23/16, 11/8, 13/24, -9/4, -21/16, 3/2, -1001/216, -3/2, 0, 0, 
  9/16, 13/24, -15/16, -21/16, 0, -4/3, -7/12, 7/12, -13/16, 113/24, -13/16, 
  -23/16, -9/2, 11/8, 7/18, -47/8, -11/8, 9/16, 1229/144, 1/2, -1/2, -9/16, 
  5/6, -1/16, -71/24, -2, -1/6, 17/16, -5/16, 43/48, 1/16, -961/144, 17/16, 
  -11/16, -1/2, 1, -67/24, -15/8, -25/16, 301/144, -1/2, -103/48, 529/640, 
  629/96, -1/2, -29345/2304, -829/96, 7/40, 119147/5760, 391/240, -1, 
  12377/2880, -4711/480, -6877/1920, 8507/3840, 1379/3840, 0, -511/720, 
  -4829/1920, 1, -97/160, -5/8, -339/80, -5/24, 124/15, 221/160, 7/4, 
  6349/640, 4093/480, 49/24, 2/3, 89/40, -271/144, 271/144, -35/24, -7/4, 
  -341/48, -6995/864, 1021/144, 1/2, -569/144, 5/12, -5221/864, 5/6, 25/24, 
  0, 0, 7/12, 85/24, -5/4, 3/4, 2, -7/12, 67/72, -1/4, -10/3, 1/2, 10/3, 
  -1/4, -9/4, -11/16, -1/24, -11/16, -49/16, -10/3, 10/3, -14/3, -5227/864, 
  0, 5227/864, 11/3, 2707/96, -25/6, 25/6, 845/72, 173/216, -5/16, 5/16, 
  -2719/144, -691/216, -15/8, 167/48, -22591/288, -569/72, 46969/864, 7/2, 
  -19/18, 187/18, 31/8, -235/36, 9/16, 1235/432, 257/24, -117/16, -81/16, 
  30637/1728, -203/144, -397/144, -15445/432, -155/36, 277/36, -179/36, 31/8, 
  269/72, -65/8, 11/24, 25735/576, 317/36, 2813/216, -1391/144, 47/48, 0, 
  -47/48, 77/36, -9907/432, -7/9, -5/18, -1/3, 7/9, 17/18, -2927/864, 
  2927/864, 271/144, 691/216, 0, -2839/72, 691/54, -719/54, -1735/108, 
  881/54, 2005/108, 3071/216, 61/216, -1177/216, 95/27, 754/27, 2341/216, 
  -1255/72, -1423/108, -842/27, -581/72, 3151/216, 10435/216, -41/108, 
  85/144, -85/144, -1/48, 8, -137/72, -14899/576, 389/72, 20971/576, 
  -6011/864, 0, 6011/864, 163/72, -1903/864, -4745/864, 0, 4745/864, 163/72, 
  -925/864, -59/4, 7/12, -4729/216, 4/3, -737/54, 5017/216, -34/3, 0, 34/3, 
  77/6, 3661/108, 59/4, 19/4, 7/4, 85565/1728, 247/54, 3763/432, -3763/432, 
  -6527/432, -691/72, -7/12, 7/12, -6923/432, 81/16, 107/16, -81/16, -7/18, 
  -257/36, 89/9, 263/36, -91/12, -367/72, 89/9, -437/480, 1827/160, 1873/640, 
  -391/60, -869/480, 14929/960, -11449/4320, -44423/1920, -21647/960, 
  13919/4320, -1, -2, -45/8, 191/144, -3635/864, -533/72, -13249/864, -45/8, 
  191/144, 1957/864, -533/72, -18841/864, 2, 0, 55/8, -21/4, -77/24, 5, 
  -643/216, -3/2, 3/2, 3/4, -361/27, -33/8, -19/8, -27/8, 27/8, 51/16, 
  2297/432, -871/216, -105/16, -27/16, -3/4, 2069/432, 187/36, -29/16, 
  -4139/432, -1655/96, 97/72, -185/144, 5/144, 7141/864, 79/12, -55/12, 
  167/36, -467/72, -67/24, 29/24, -65/8, -8557/192, 139/24, -2813/216, -1/12, 
  113/144, -10/9, -23/6, 379/144, -13/6, -145/72, 7, 9179/864, -43/72, 89/24, 
  671/144, 389/24, 7841/864, -43/72, -631/144, 671/144, 1571/72, -35/18, 
  35/18, 35/18, -5/4, -865/72, 185/36, 17/18, -197/72, -61/12, 59/4, -7/3, 
  -65/4, -119/36, 7, -15/2, -7, 103/12, -25735/576, -19/9, -691/108, -37/6, 
  -35/36, -8573/192, -11/18, -2179/108, -15/8, -7/8, 1/4, 17/2, -515/72, 
  13/6, 47/72, -13/12, 245/36, -5/72, -32773/960, -194873/11520, 12709/576, 
  6031/160, 30073/1440, -138299/5760, -100313/2880, 4895/576, 64693/2304, 
  18527/720, 6287/5760, -7915/288, -19181/1440, -130111/5760, -5363/576, 
  -90887/11520, 8177/720, -5455/576, -60061/11520, -30073/1440, 23287/1152, 
  21589/576, -3785/576, -273977/11520, -115/144, -71/48, 71/48, -2, 
  -1067/144, -115/144, 409/144, -229/9, 1477/72, 235/36, 175/72, -295/72, 
  -995/144, -13483/864, 175/72, -995/144, -9313/864, 0, 0, -521/48, -691/18, 
  0, 493/48, -51/16, -893/24, 0, 25/6, 0, -25/6, 335/36, 571/36, -1/2, 0, 
  1/2, 479/36, 437/36, 5/18, -23/18, -23/18, 5/2, 0, 83/4, -93/4, 3, 93/4, 0, 
  20/9, 20/9, -10/3, -38/9, -617/216, 20/9, -56/9, -20/9, -5/16, 10/3, -1/2, 
  -541/72, 29/24, 9/4, 181/48, 17/16, 10/3, 2609/432, 2291/864, 43/12, 
  -1067/216, 7/8, -3/16, 4445/432, -15/16, -2179/108, -473/144, 863/432, 
  10867/432, 773/54, -7/8, -95/18, 233/72, 1/18, 51/16, 53/36, 11707/864, 
  -53/36, -14461/864, 1003/144, -763/144, 3209/216, -26807/864, -155/72, 
  691/216, 7/12, -7/12, -185/48, 11/24, 221/16, -69/16, -7/6, 7/12, 4717/216, 
  7/12, -7/12, -97/48, -691/54, -299/144, -53/12, -21/8, -5869/384, 3, 
  -359/144, 115/144, -1/2, 107/144, -470/27, -461/216, -599/288, -97/144, 
  -1991/960, 140801/11520, 25219/1920, 88633/34560, 3539/960, 487/80, 
  -5411/480, 48857/3840, 503/40, 15273/1280, 73289/2880, -36071/34560, 
  -1855/768, 26881/8640, -25/8, 631/144, 875/32, -227/144, 17/16, 437/144, 
  6227/216, 83/144, -47813/864, -1/3, 5, 307/72, 21/8, 0, 1/3, -277/36, 
  -265/72, -19/16, 97/36, -145/48, 10/3, -39/8, 2725/216, 29/2, 9/4, 67/24, 
  205/48, 10/3, -6647/432, 103/96, 1/16, 383/144, -5513/288, -721/144, 13/36, 
  5/16, 139/36, 1227/64, -245/144, 14989/864, 235/36, 29251/864, 23/72, 37/8, 
  0, -1/16, -175/24, -43/48, -5/16, -575/72, 577/72, -1/6, -11/36, -125/24, 
  1/2, 13/16, -10/3, -45/16, -529/144, 19/16, -13/8, -71/24, 9/4, 9/8, 
  557/144, -10/3, 185/27, -1663/144, -3/4, 91651/5760, -51527/5760, 
  -29113/2880, -269219/11520, 87533/5760, 8759/360, -92383/3840, -13741/720, 
  371/90, -66313/3840, -11663/720, -423379/17280, 201313/5760, 100211/5760, 
  -145/144, 65/36, 0, -103/72, 13205/216, 35/36, -3749/864, 47/8, 24505/576, 
  29/16, 217/36, -403/72, -217/36, 545/144, -121/6, 3491/144, -5779/432, 
  -10/3, 11327/432, 605/144, -10/3, -10/9, 5/6, 503/48, -337/24, 61/48, 
  201/16, 43/36, 10/3, -5/6, -19/72, 10/3, -5/2, -547/216, -1049/432, 
  -329/12, -155/12, 19541/432, 29/4, -127/24, -25091/432, -4, -1129/12, 
  -121/108, 7105/432, 185/36, -36743/1728, -8333/216, -102491/1728, 43/12, 
  -7271/144, 103/12, 3929/72, 8237/144, 2015/108, 24775/576, -8767/432, 
  -691/72, -18923/216, 15/8, 4879/216, 19/12, -67243/1728, -27949/432, 
  27949/432, -19/24, 7601/216, -7/4, -17/36, 385/48, -125/24, -13/48, -39/4, 
  233/24, -655/48, 277/24, -217/36, -44755/3456, 121/24, 5441/432, 4655/1152, 
  -966907/34560, -1527769/34560, 74801/1440, 528211/5760, -305/144, 317/36, 
  487/108, 271/72, 14107/576, 487/16, -1855/144, 29695/432, 1237/36, -797/8, 
  -61/2, 2533/432, -79/36, -265/16, -4363/432, 114245/1728, 1585/144, 359/16, 
  -503/48, 212101/1728, 65/12, -1625/72, 347/36, 23/2, -817/72}}
