{{1, -2, 1, 1, -1, 1, -2, -1, -7/24, 37/96, 3/8, 5/48, -1/4, -61/96, 9/64, 
  5/48, 19/16, -1/16, -61/96, -9/64, -7/16, -5/4, -5/16, 27/64, -7/24, 11/16, 
  3/16, 37/96, -9/64, -7/16, -1/6, 1/24, 1/8, -1/6, 33/16, 27/32, 1/24, 
  -73/48, 1/8, -51/32, 17/16, -3/16, 1/4, 1/2, -3/64, -1/3, 55/192, 9/64, 
  19/48, -1/32, 11/64, 1/3, -53/96, -21/64, -5/96, -1/8, -3/32, 3/16, 3/32, 
  1/8, -1/12, 1/48, 1/16, -5/64, 115/384, -1/8, 85/192, -59/96, 3/16, -77/96, 
  -1/32, 1/128, 3/16, 3/32, 1/8, 21/64, 27/64, -1/12, 2/3, 203/192, 1/48, 
  19/64, 1/16, -27/32, -5/64, -257/192, -5/32, 115/384, -1/8, -19/64, -9/16, 
  7/64, -59/192, -1/16, 3/16, 27/64, -5/16, 3/32, 3/64, 1/128, -1/12, -13/48, 
  13/48, 13/48, 1/16, 263/192, -79/64, -123/128, 13/32, 1/12, 125/192, -1/48, 
  -91/192, -1/16, 11/192, -43/192, -29/48, 25/384, -55/192, 3/128, 1/32, 
  49/192, -3/128, 1/16, -1/24, -7/96, 13/96, 13/96, 1/32, 21/64, 103/192, 
  -5/96, -25/96, -27/64, -101/192, -1/8, 1/24, 7/24, -3/64, -1/96, -65/192, 
  -1/32, -7/32, -1/8, -23/192, 1/12, 9/32, -1/96, 1/16, 3/64, -11/64, 1/16, 
  3/64, -1/32, -3/64, 27/64, -3/32, -3/64, -1/64, -3/64, 91/32, -449/96, 
  13/4, 13/4, -29/12, -29/12, -13/8, 91/32, 1/2, -47/24, -449/96, -3/2, 1/2, 
  -1, -1, -1/4, 1/8, -13/4, 1/2, 1/12, 1, -3/2, 5/4, 1/4, -3/32, -13/32, 
  -47/96, -55/32, -9/8, 1/12, -1/8, 47/48, 23/16, -47/48, -3/16, -179/64, 
  -97/64, -71/64, 367/192, -229/96, 49/32, -57/32, 3/32, -619/384, -3/4, 1/2, 
  -1/2, -1/2, 13/32, -3/32, 31/32, -21/8, -3/32, 43/32, 153/32, 31/32, 
  -181/64, 1/4, -7/16, -3/2, 47/96, -47/24, -47/96, 5/6, -23/16, 5/6, 
  -271/32, -581/96, -23/16, 455/64, 1/4, -119/96, 59/96, 1/4, 17/16, -3/8, 
  1075/384, -205/64, -341/128, -145/128, -31/128, -593/384, -37/192, -13/16, 
  -1297/384, 1441/768, -19/64, 1457/384, 179/64, -979/192, -937/384, 209/64, 
  -701/768, -2509/768, -575/64, -327/256, 209/64, 13/32, -523/768, -1/2, 
  1/32, 883/768, -8957/768, -65/32, 51/16, -7/4, -27/16, -161/32, 109/32, 
  -1/16, 7/4, 179/16, -55/32, -13/16, -4, -51/8, 67/24, 281/32, 113/16, 
  169/32, -103/48, -389/48, 11/8, 39/8, -211/16, -171/16, 1/12, 89/8, -19/96, 
  19/96, 49/96, -31/96, -403/96, -83/24, 155/48, -25/16, -17/96, 7/72, 29/36, 
  -41/144, 101/48, -43/16, -4/9, -11/24, 353/144, 127/144, 41/72, -11/8, 
  29/36, -15/16, 2527/576, -97/144, 19/16, -247/144, -273/64, 113/144, 1/24, 
  -5/16, -3/16, 267/256, 817/768, 439/192, 73/32, -935/384, -23/48, -631/768, 
  967/768, 137/768, -1/16, -137/768, 7/16, 5/16, 93/64, -11/32, -41/64, 
  -143/64, 17/32, 57/64, 1/32, -121/192, 3/8, 11/64, -73/48, 25/96, 47/192, 
  -1/24, 3/32, 13/96, -3/16, -1/24, 7/32, 9/32, 13/24, -9/32, -103/96, 
  -25/96, -25/32, -43/24, 23/32, 1/2, -41/72, 11/8, -29/36, -61/288, -501/64, 
  107/96, -383/384, 215/128, 377/192, -23825/256, 193/108, 25/64, 613/32, 
  -11173/288, -179/256, -4775/256, -115/192, -16193/384, 156247/3456, 
  7555/192, -1535/192, 25/64, -423/64, -673/128, 4367/256, 83101/1536, 
  41623/2304, -179/256, 985/128, -13087/768, -115/192, -16429/384, 
  13037/1536, -102199/6912, 30515/768, -1231/192, 7/12, -431/768, -125/96, 
  -7/48, -7/16, -97/64, 187/192, -5575/256, 481/384, 20171/384, -43387/1536, 
  -29041/1152, 12283/256, 11549/432, 77/1536, -197/1536, 5/64, 43/768, 
  -43/1536, -163/1536, -14899/256, 49789/768, 46379/768, -209/64, -31/384, 
  -43811/768, 41915/768, 55/192, -7445/384, -31/384, -2479/32, 317/192, 
  58799/768, 233/128, -31/384, -605/768, -2509/1536, -88289/1536, 
  -93805/1536, -573/128, 55/192, 25/16, -27875/1536, -31/384, -29579/384, 
  -4205/384, 40717/768, 19487/256, 209/128, -1/4, 1/16, 3/16, -117/512, 
  15907/768, 191/1536, -17423/192, 31445/768, 26855/768, 1469/96, 1/8, 53/32, 
  -57/32, -11/32, -25/16, 7/32, 255/64, -141/64, -75/16, 7/32, -25/32, 
  -65/64, 205/64, 51/32, -185/64, -217/64, 201/64, -39/16, -25/32, -239/64, 
  -225/64, 13/24, 3, -127/96, 205/64, 143/32, -7/96, -185/64, -7/8, 331/64, 
  -67/32, 77/64, -59/32, 1/6, -2, -13/24, 2, -1/8, -25/8, 241/96, 49/16, 
  13/8, 39/64, -17/8, 55/64, -135/64, 11/32, 107/192, -1/3, -107/48, 35/24, 
  163/192, -107/192, -317/96, -11/12, 1, -277/96, 133/96, -253/64, 217/64, 
  283/96, 185/96, -19/12, -1021/192, -87/64, 1, -155/32, -1747/192, -125/32, 
  -1793/384, 149/128, -253/64, 961/96, 619/64, 283/96, 709/192, 4157/384, 
  425/192, -1177/96, -1637/384, -1/6, 5/12, 107/192, -11/24, -7/96, 1/8, 
  -119/32, 219/64, 455/96, 115/96, -49/64, 61/384, 67/384, -587/192, 
  -313/384, -7/36, 19/36, -157/192, -131/96, 655/576, 241/288, 167/144, 
  -25/32, 1969/576, 2549/576, -211/96, -175/192, 19/48, 95/192, -77/576, 
  -1351/576, -643/576, -73/96, -337/288, -1819/576, 383/288, 43/192, 113/288, 
  443/576, -275/576, -3/32, 1/24, 9/64, -1/24, 1/96, 1/32, 7/32, -9/64, 1/8, 
  41/144, -9/32, -7/48, -1/16, 7/48, 311/576, -3/64, -1/8, -7/32, -587/576, 
  1/4, -35/192, -3/32, 1/64, 53/192, 25/128, 9/16, 7/24, 6791/768, 
  40955/1536, -7/96, -48115/2304, -7/32, -3623/768, -1/16, -895/768, 179/384, 
  14321/768, 19/6, -35/256, 133/384, -53579/768, -42047/512, 3977/256, 
  1118719/27648, 1417/192, -607/384, 30977/192, 18953/768, 427/384, 1043/24, 
  356875/9216, -1647/128, -16357/384, 801/128, 15/512, -46325/1536, -1/8, 
  -7799/256, 46325/1536, 1/32, 15583/512, 3/32, -217/512, -139/512, 
  -9899/512, -14987/768, 241/768, 485/1536, 35/512, -28771/384, -109/6, 
  38225/768, -573/128, -19/256, 13391/768, 14119/384, -61/512, 3449/192, 
  2965/384, 779/128, -13099/768, -209/128, -3/16, 1/24, -19/12, -13/96, 
  79/48, -1/32, 1/64, -103/192, 155/96, 25/96, 13/64, 101/192, 33/64, 
  -113/64, 93/64, 47/192, 233/128, -71/192, -45/32, 81/32, 251/384, 17/16, 
  153/64, -125/64, -93/128, -69/32, 65/64, 1/8, 21/64, -27/128, -19/48, 
  -27/128, 3/64, -1/8, -3/32, -21/64, 27/128, 79/192, 27/128, -3/64, 3/32, 
  23/32, -107/192, -1/8, -79/32, 107/192, -11/32, 5/4, 3/32, -611/192, 
  107/64, -209/192, 1825/384, 439/384, 101/48, 151/192, -25/64, 1061/768, 
  107/384, 327/256, -961/768, -225/256, 311/192, -447/128, -8/3, -103/96, 
  -433/768, -131/128, -389/768, 943/384, 43/48, 1/2, 2, 2, -1/4, -143/64, 
  9/2, -13/4, -685/192, -11, 781/48, 13/4, -7/2, -311/48, 55/12, -2/3, 51/2, 
  2, 2, -11/12, 67/12, -21/4, -81/8, -53/16, 167/48, 23/12, -2, 47/3, 2, 
  -71/12, 13/2, -4, -7/2, -1, -5, -89/24, 3, 1/2, 47/12, -2, 4/3, -4/3, 8/3, 
  -5/64, -31/32, 409/384, 3481/192, 1367/384, -5/12, -421/128, -87/128, 
  -495/128, 287/128, -91/128, -407/192, -1451/768, -503/576, 175/192, -49/48, 
  -265/192, -601/192, -133/96, 341/48, -13/8, 17/8, 575/96, -17/4, 827/192, 
  -569/96, -119/96, 109/96, -1451/768, -155/192, 71/6, 18241/768, -1097/24, 
  -15761/768, -13529/768, -3689/96, 26017/384, 13001/384, 1/2, -14/3, 
  -1451/768, -2789/576, 1, 1, -41/6, 1/4, 315/64, -3071/384, 63/64, 291/128, 
  247/384, 1085/384, 763/192, -133/384, -41227/192, 46111/48, 391963/1152, 
  46751/256, -40523/256, -237/128, -285547/384, -378787/1536, 45655/256, 
  -57163/384, 5285/256, -283397/384, -400283/1536, -173863/384, 60781/384, 
  -25457/128, 748069/384, 397021/576, -139/32, 107/48, 61/24, 3913/192, -14, 
  -25/2, -265/24, 1417/96, 5/96, -253/96, 23/16, -23/16, -23/16, 4385/384, 
  -3173/384, -4673/384, 3/4, 367/192, 3299/384, 601/64, 323/128, -4653/128, 
  371/128, -115/64, -51/128, -62791/96, -2435/48, 66859/96, -8455/48, 4741/4, 
  28859/192, -1637/96, 15559/768, -72949/384, 450887/384, 12353/96, 
  -3151/192, 46739/768, 62791/192, -14223/16, 2435/96, 103793/192, -3349/192, 
  885/32, -107/24, 1389/128, 239/96, -37/2, -611/32, -59/192, 1189/128, 
  2587/192, -1111/192, -145/6, -73/6, 3349/96, 3533/128, -3755/64, -6935/384, 
  1/2, -7, 1451/384, 349/32, -1, -1/2, 1175/96, 1, -19/96, 280075/2304, 
  12179/2304, -31337/256, -19555/2304, 37/24, -937/2304, 3637/144, 403/96, 
  12403/288, 209/384, 13663/2304, -51869/1152, 245/192, 203/192, 215/128, 
  -97/128, 67/24, -247/128, -83/24, -541/96, -53/128, 2647/384, 55/24, 
  2123/384, -965/384, -955/384, 85/64, -89/36, 1439/288, -1331/576, 419/192, 
  -311/64, -445/576, -4259/864, 85/27, 9427/1728, 137/1728, 817/576, 
  119983/2304, 42119/256, -78773/4608, -28941/512, -38075/2304, 21989/2304, 
  -62247/256, 210707/4608, -1231/48, -94687/2304, -424507/4608, 24577/768, 
  173177/4608, -403/64, -5791/2304, -995/768, 4819/576, 7511/1152, 
  -14483/2304, -357/256, 2591/2304, -15739/1152, 787/576, 4445/1152, -13/12, 
  -763/192, -93/64, 253/64, 385/64, -49/16, -415/192, -33/64, 221/96, 
  107/192, 1, -3653/1152, -5981/1152, -307/144, -251/1536, 113/288, 143/576, 
  559/256, -107/384, 713/768, -1159/768, -899/2304, -245/576, -367/64, 
  -3677/384, 37/32, -199/768, -113/128, -145/256, -841/384, -31/192, 
  2467/1536, 6613/96, -3029/144, -1877/384, 117551/1536, 1819/768, 
  1038323/3072, -5350345/27648, -223375/768, -74911/3072, 133/96, 
  255289/1536, -121569/512, -103991/256, 10177/128, -8195/36, -1349/256, 
  -972299/1536, 754177/384, 5455/768, -31901/768, 2626405/9216, 
  13822553/27648, 91031/384, 296611/4608, -109/64, 575/64, -535/192, 1891/96, 
  -61/2, -295/16, 1705/768, 77/192, -221/768, 895/256, -77/24, 65/384, 
  -791/256, 91/768, 1225/768, -233/128, 38003/1536, 23533/768, -1/2, 
  -30769/4608, 53/32, -21119/512, 805/128, -459/256, -125471/1536, 
  -3378529/27648, 218825/4608, 88759/512, 2980193/27648, 7/32, -2919/512, 
  113891/192, 14969/512, 919985/1536, -15249/512, -339/128, 443/192, 
  -63433/1536, 851/384, 412367/1536, -154223/256, -75641/256, 28805/512, 
  -15769/512, -15/32, 8671/768, 239/64, 825/128, -6787/768, -2419/384, 
  181/48, -2711/128, -157/12, -227/48, -1169/256, 43/384, 4379/768, 1529/384, 
  -425/384, 923/256, 3313/1152, 647/192, 3/4, 9/16, -5751/64, -183/8, 
  -1757/96, 1237/64, -1/12, -7/4, -36947/256, 15067/256, -1395/64, 2155/32, 
  33799/192, 663/64, 3989/768, -7471/768, -2875/256, 185/32, 109741/2304, 
  1378409/2304, 42181/1152, -2970517/4608, 134177/1536, 99349/512, 
  -78667/768, -994321/4608, -458351/2304, -25321/1536, -21967/1536, 
  -30421/384, 5155/384, -557233/1536, 391915/1536, 3079169/4608, 
  1699751/4608, 190613/4608, -887483/1536, -197105/1536, 2861/9216, 
  6275/1536, -1177/96, -12733/576, 215/192, 165023/512, 24787/256, 
  -2320681/4608, -140005/768, 347317/13824, -99541/512, 411185/512, 
  -158159/1536, 1021789/768, -1072285/4608, -95681/512, -262313/1152, 
  129635/1536, 149807/512, 349411/512, 993/32, -318159/512, -323/512, 
  -9151/128, 40167/128, -95113/144, 129151/128, -590539/256, -1742377/2304, 
  -28571/16, 88369/1536, 1653557/3072, -3467885/1536, -3/4, 3/2, -3/4, -3/4, 
  3/4, -3/4, 3/2, 3/4, -1/6, -19/48, 45/128, 1/24, 7/24, -1/24, 3/128, 
  -237/512, 7/24, -9/16, 19/48, 3/128, 237/512, 13/48, 43/96, 25/192, 
  -123/512, -19/48, -1/16, 13/48, 45/128, 237/512, 13/48, 3/8, -1/4, -1/8, 
  3/8, -31/48, -15/256, -1/4, 67/32, -1/8, 103/256, -53/96, -5/48, -1/8, 
  -5/192, 95/512, 1/4, -33/512, -237/512, -353/768, 13/192, -509/1536, -1/4, 
  33/128, 313/512, 1/3, 7/48, 5/64, -19/128, -5/64, 1/96, 3/16, -1/8, -1/16, 
  -229/768, 139/768, -1/96, -131/768, 41/128, 21/256, 341/768, -19/256, 
  11/96, 1/256, -25/128, -5/64, 1/96, -177/512, -123/512, 3/16, -1/2, 
  485/1536, -1/8, 1091/1536, -1/16, 123/256, -229/768, 237/512, -11/64, 
  139/768, -1/96, 877/1536, 183/512, 61/768, -595/768, 1/16, 21/256, 
  -435/512, -41/256, -19/256, -1/32, -5/128, 1/256, -3/64, 3/16, 155/1536, 
  -47/256, -155/1536, 13/768, -199/384, 27/256, 1925/1536, 119/256, 9/64, 
  -3/16, 51/512, 1/8, 131/768, 1/16, 7/256, -439/1536, 13/384, -27/256, 
  83/768, -9/256, -1/32, -65/384, 9/256, 1/12, 3/32, -109/1536, -47/512, 
  -1/512, 13/1536, -177/512, -563/1536, 197/384, 205/384, 123/512, 385/1536, 
  -1/6, 75/512, -3/32, 73/384, 5/128, 1/16, 233/1536, 1/32, 59/96, -177/512, 
  75/256, -391/384, -97/384, -59/128, -15/64, 1/12, -71/512, 9/256, -3/64, 
  -5/128, -11/48, 173/512, -5/384, 19/128, -1/128, 1/128, 11/128, 55/64, 
  -55/64, -1453/256, 4843/768, -101/16, -101/16, 11/3, 11/3, -7/48, -17/12, 
  -65/12, 215/64, -1453/256, -123/64, 187/192, 4843/768, 303/64, 2809/384, 
  -13/48, 3/4, 43/48, -1/96, -17/12, -503/96, 101/16, -17/16, -23/24, -3/4, 
  31/8, -323/192, -41/64, -21/256, 163/256, -331/768, 1891/768, 27/32, 
  -187/128, 3/32, -1283/1152, -249/128, 1283/1152, 575/1152, 23/576, 
  -409/576, 409/1152, -27/128, 5753/576, 18431/2304, -9383/2304, -2077/1152, 
  661/384, -4811/4608, 5435/4608, -327/256, -3245/1728, 185/192, -4301/1152, 
  -71/128, 71/128, 71/128, -163/256, 37/192, -307/128, 901/256, 37/192, 
  -97/64, -2209/384, -307/128, 2121/512, -5/16, 587/96, 349/256, 1/768, 
  187/192, -1/768, -65/256, -449/192, -65/256, 6889/768, 2353/384, -449/192, 
  -9353/1536, -5/16, -29/8, -2119/768, -329/768, -39/128, -39/128, -373/384, 
  -15/64, -1759/216, 36107/6912, 14125/2304, 2749/576, -91/36, 2243/2304, 
  85/768, 611/768, 105857/13824, -15827/4608, -18737/3456, -56357/13824, 
  19033/6912, 43661/13824, 13729/6912, -2755/6912, 25027/27648, 67351/27648, 
  9907/1728, 2905/3072, -2755/6912, -807/256, -68431/27648, 31/96, 
  101495/13824, -9005/4608, 40739/3456, 269/64, -1569/256, 1115/256, 
  1015/256, 11831/2304, -617/96, 25/64, -531/128, -2629/384, 1891/768, 
  215/128, 9/8, 1637/256, -335/96, -5351/768, -1967/256, -661/256, 907/576, 
  9203/1152, 5/6, -5813/1152, 363/64, 1123/384, -187/128, -53/16, 175/256, 
  -175/256, 1523/768, 199/256, 463/256, 3973/768, 155/768, -13/128, -271/384, 
  -83/1152, -1213/1152, -1/48, -2647/2304, 1441/576, 61/128, 301/256, 
  -1559/576, -1267/1152, -1013/1152, 941/576, -869/1152, 1091/2304, 
  -1991/512, 77/576, -1441/1152, 1873/1152, 20419/4608, -215/288, 61/1152, 
  -119/384, 5/48, -28025/27648, 10925/27648, -51277/13824, 987/1024, 
  56179/13824, -4659/1024, -66541/27648, 4277/3456, -48547/27648, 
  -24611/3072, 52003/27648, -51/64, -347/768, -915/512, 87/128, 417/512, 
  1051/512, -51/128, -53/64, 335/768, -943/1536, -121/128, -295/1536, 
  -199/192, 511/384, 95/1536, -37/1152, -1/8, -23/1152, 5/48, -37/1152, 
  65/384, 57/256, -91/256, -57/256, 197/768, -353/2304, -221/384, 143/128, 
  401/768, 77/192, 1013/1152, -941/576, 869/1152, 7/256, 146147/41472, 
  27485/4608, 187667/27648, -296239/13824, -32261/2304, -5198995/27648, 
  -470891/3888, -38795/13824, 629081/18432, -5425157/82944, 196673/27648, 
  -1993171/55296, 64879/13824, -600971/6912, 23459645/248832, 4782649/55296, 
  5891/3072, -38795/13824, 72661/9216, 70873/9216, 2225467/55296, 
  601735/6144, 5157089/165888, 196673/27648, -41567/4608, -2345189/55296, 
  64879/13824, -783271/9216, 228989/18432, 170227/124416, 1605175/18432, 
  85387/55296, -23/16, 61/9216, 6865/18432, 29/32, 17/32, 126707/27648, 
  -403/9216, -2518615/55296, 1739/3456, 5533483/55296, -2643385/55296, 
  -7143593/82944, 1636237/18432, 14166091/124416, -1117/864, 72973/55296, 
  -55/2048, 108635/55296, -4829/6912, -37147/55296, -465275/4608, 
  1337731/13824, 1370239/13824, 2755/6912, -461/1024, -151589/1536, 
  1339489/13824, 1597/18432, -3083279/55296, 6605/18432, -945497/6144, 
  28759/6144, 8589193/55296, -16201/13824, -461/1024, 18041/4608, 
  89185/55296, -445241/4608, -5462257/55296, -212117/55296, 1597/18432, 
  -86653/55296, -343397/6144, 6605/18432, -8368577/55296, 554983/55296, 
  21091/192, 2813795/18432, -14041/13824, 11/16, -13/32, -9/32, 4535/2304, 
  265543/6144, -26249/18432, -2270221/13824, 1554547/13824, 103885/1728, 
  -231299/27648, 1/6, -16661/9216, 15125/9216, -427/768, 18713/9216, 299/768, 
  -36203/9216, 497/256, 43793/9216, -43/128, 15/256, 37/64, -2449/1536, 
  -345/512, 3029/1536, 31427/9216, -39995/9216, 103/32, 15/256, 193/64, 
  197/64, -7/24, -8783/3072, 31/48, -2449/1536, -4573/1536, 569/768, 
  3029/1536, 4097/9216, -2791/512, -1651/9216, -14879/9216, 129/64, -3/8, 
  15161/9216, 47/128, -15161/9216, -13/384, 481/384, -27/64, -755/256, 
  -893/768, -22001/9216, -699/512, 16325/9216, 1233/256, 1087/512, -149/256, 
  -569/1152, -533/256, 1459/576, -1/8, 1495/2304, 569/1152, 1067/384, 
  227/768, -155/192, 73/144, 149/576, -1009/1536, 12331/4608, 1199/768, 
  -41/192, -3563/3072, 30569/4608, 353/288, -155/192, 217/96, -13/384, 
  -469/1152, -709/128, -11225/4608, -1009/1536, -751/192, 11593/4608, 
  1199/768, -201/512, 17621/4608, 44185/9216, 4303/576, -435/512, 3/8, 
  535/512, -569/1152, -17/128, -833/512, -109/384, 363/256, -2065/384, 
  971/512, 309/256, -947/768, 9277/9216, 475/1536, 523/64, -373/3072, 
  -2653/6912, -905/1152, 1279/1152, 905/576, -4949/6912, -905/1152, 
  -1655/2304, 935/3456, -38459/13824, -56393/13824, 7669/6912, 1621/3456, 
  803/3456, -445/3456, -5755/6912, 367/288, 1513/1152, -1343/6912, 907/3456, 
  16925/4608, -7961/6912, -5/864, -17/96, -833/1152, 347/3456, 5/64, -37/192, 
  -135/512, 3/32, -1/16, -1/32, 295/768, 237/512, -25/576, 31/384, -57/256, 
  -107/768, 383/2304, 721/1536, -53/256, 5/128, -227/576, -1211/1536, 25/288, 
  173/768, -13/144, 5/192, -1/128, 7/576, -71311/27648, -3887/9216, -25/32, 
  1013605/110592, 1946605/55296, 15/32, -4527371/165888, 5/16, 131803/13824, 
  769/1024, 27469/6912, 13331/13824, 1752587/55296, 725/432, -21601/27648, 
  4757/9216, -5220287/36864, -852475/4608, 2381063/55296, 12094453/248832, 
  -12601/864, -16571/9216, 5435227/13824, 53075/1024, -1015/512, 
  1508093/18432, 31932347/165888, 32465/1728, -4432733/55296, -619/128, 
  -883/864, -307931/6144, 9/32, -1353811/27648, 307931/6144, -3/16, 
  153563/3072, -3/32, 42167/18432, -27/256, 8357/27648, -1353127/55296, 
  -145279/6144, -57929/55296, -10103/27648, -8935/13824, -483229/3072, 
  -1213/6144, -1364551/55296, 7515161/55296, 35177/6912, 14945/13824, 
  387911/13824, 1391065/27648, -2969/6912, 1331323/55296, -408455/55296, 
  -84341/13824, -1404131/55296, 14041/13824, -1/4, -3/32, 17315/9216, 47/512, 
  -15107/9216, -13/1536, 1385/1536, 563/1536, -23441/9216, -205/384, 
  -967/1536, -385/1536, 211/1536, 7469/9216, -915/512, -10949/18432, 
  -853/512, 7877/18432, -49/256, -17027/9216, -279/1024, -31/192, 
  -19151/9216, 939/512, 97/128, 18539/9216, -139/128, -27/256, -15/512, 
  27/256, 61/1536, -51/512, 123/1024, 37/192, 123/1024, 187/512, 15/512, 
  -19/256, -61/1536, 51/512, -513/1024, -219/512, -55/1024, -133/512, -1/32, 
  195/512, -229/768, 569/1152, 9/32, 4793/4608, -569/1152, -51/512, 
  -3611/4608, -109/512, 565/512, -261/128, -271/512, -4361/768, -1435/768, 
  857/768, 569/256, 95/512, -1177/1024, -569/2304, -17489/9216, -7235/9216, 
  6071/9216, 19/1536, 13625/1536, 333/32, -1529/768, 5225/9216, 9649/9216, 
  509/1536, -617/96, -6083/9216, -25/128, -157/64, 329/192, 163/64, 
  -65093/1920, -455/192, 3/8, 2809/384, 2313/512, -619/96, 39/128, 847/128, 
  947/768, 83/768, -5713/3840, 3875/1536, 3/2, 3175/192, -13/192, 1/192, 
  -3839/128, -879/64, 69173/1920, 6725/384, -3/2, -575/96, -17383/1440, 
  -2515/48, 593/256, 2333/640, -3/2, 1423/192, -3/2, 57/8, -103/16, -517/192, 
  3155/768, 555/32, 6787/3072, -1175/1024, -103/192, 575/384, -545/24, 
  -1151/768, 4079/768, -469/48, 3, 42533/7680, 1/2, 157/24, 105/8, -139/48, 
  -1/4, -613/96, 3/2, -7/9, 10339/1440, -20/9, -991/1536, 3107/768, 
  -214403/13824, -500087/13824, 277115/13824, 395/96, 2821/512, 711/256, 
  869/128, -483/256, -1315/384, 7987/2304, 1049/288, -3773/2304, -917/576, 
  831553/92160, -1013/1536, 121/384, 19675/4608, -2415/512, 10127/2304, 
  461/384, 2813/576, -2897/576, -575/128, 416737/46080, 6907/1536, 547/1152, 
  713/768, -427/256, -1259/1152, -97595/18432, -121741/3456, 119989/6912, 
  129457/3456, -307615/6912, 161617/3456, -208265/3456, 983203/13824, 
  405787/3456, -917/768, -1163/192, -5443/1536, -15/128, 61/384, -10339/1536, 
  55/1152, 1894217/92160, -2137/2304, -47/64, 61/192, -26359/2304, -5/16, 
  -1433/512, 12733/3072, -389/512, -2937/1024, 307/3072, 11569/3072, 
  7015/1536, 1655/3072, -80567/288, 8508217/4608, 867997/648, 3068369/18432, 
  -1375073/4608, 37832459/55296, -3079909/2304, -13868305/13824, 
  9136667/55296, -748997/2304, 35916643/55296, -9227659/6912, -762941/768, 
  -2178731/4608, -312161/3072, -28308109/13824, 1840947/512, 221332729/82944, 
  6043/2304, -1459/576, -551/192, -35713/2304, 9277/384, 14455/768, 
  45281/4608, -4411/384, -2185/384, -3973/512, 2735/768, -2735/768, 
  -2735/768, -118141/13824, 9049/3456, 122029/13824, 583/128, 499/1152, 
  997241/110592, 28537/2304, -108497/138240, -3242101/552960, 17845/13824, 
  -42469/6912, -57589/13824, -5042773/4608, 14101/2304, 4903261/4608, 
  -8391883/27648, 6589601/2304, 2949779/9216, 215891/27648, -37745/768, 
  -8493793/27648, 39619099/13824, 459445/1536, 16877/3072, -78551/1728, 
  5003731/9216, -7031723/3072, -10645/4608, 4048445/2304, 35671/1536, 
  -92759/2304, 1223/144, -16519/1024, -2309/576, 79727/2304, 48613/1536, 
  1265/4608, -14159/1024, -27595/1536, 53027/2304, 51731/1536, 14593/1152, 
  -35671/768, -143861/3072, 179899/2304, 272159/9216, -15/128, 61/384, 
  -35569/4608, 683/2304, -268829/15360, 557/240, 79/128, -61/384, -2639/4608, 
  -3/4, 218147/27648, 886697/5184, -1102301/82944, -4792817/27648, 
  176185/20736, -607889/55296, -107561/41472, 6278063/55296, 128683/55296, 
  16397123/165888, 1274461/82944, -61403/18432, -5293693/55296, -21119/10368, 
  -269/512, 25333/13824, 797/512, -25213/18432, -1075/3456, 34357/18432, 
  -1481/768, -4421/13824, 121933/27648, 823/768, -256277/27648, 959/512, 
  151787/27648, -263/128, -137/6912, 10087/13824, -955/1536, -3595/4608, 
  70339/13824, 18601/13824, -5671/6912, 16303/13824, -97183/13824, 
  -5897/6912, 15485/13824, 1202069/18432, 1324799/4608, 865943/41472, 
  634759/55296, -35747/1296, -52769/2304, -4162585/9216, -778849/27648, 
  -7325/864, -14129/216, -13837543/41472, 1602815/41472, 88879/3072, 
  2633/768, 35431/9216, -2701/9216, -8029/1728, -330247/41472, 566087/82944, 
  -282625/82944, 223495/27648, 17383/27648, -6463/576, 42541/9216, 1585/2304, 
  23053/4608, 915/512, -2647/1536, -4415/512, -233/192, 5833/3072, 
  -1445/1536, -17923/9216, 41/96, -15/64, 61/192, -519/256, -329731/41472, 
  116759/5760, -323/9216, -17/96, -2503/4608, -6595/27648, 569/2304, 
  -739/3072, 23923/27648, 1273/9216, 9583/4608, 2753/768, -366683/82944, 
  29375/4608, 5915/13824, -475/3072, -371/768, 81563/27648, 7955/9216, 
  -219671/27648, 2727937/18432, -11731555/165888, 65015/4608, 1187933/6912, 
  301475/55296, 67034555/110592, -291689983/995328, -18321683/36864, 701/64, 
  3437/576, 4221007/36864, -745873/1536, -42006325/110592, 4978489/27648, 
  -354873139/165888, -38885/13824, -100487/96, 99730525/27648, -214975/13824, 
  6568031/55296, 24242177/165888, 880819105/497664, 4694767/27648, 
  5930603/20736, 1483/4608, -144833/13824, 3487/1152, -5137/1152, 13495/384, 
  125/32, -781039/27648, -593/256, 76267/27648, -68311/27648, -221/768, 
  -126509/27648, 21143/13824, 25121/13824, -5527/3456, -17009/13824, 
  3542927/110592, 28531/432, 15/128, -2314951/165888, -61/384, -40513/27648, 
  -2360843/27648, 11999/2304, 385319/55296, -7598369/36864, 
  -272548021/995328, 14983043/165888, 247560301/552960, 1730390599/4976640, 
  81083/27648, 45053/55296, 580213/512, 4243199/55296, 62740399/55296, 
  -163843/2048, -492437/55296, -18125/4608, -94325/1024, 34147/13824, 
  6390881/13824, -31525657/27648, -15673361/27648, 5483441/55296, 
  807779/27648, 319/768, -198653/18432, -345/64, -25399/2304, 145421/18432, 
  28025/2304, 445/256, 65033/2304, 77785/3072, -3977/768, 11619/2048, 
  4193/9216, -130961/18432, -34093/3072, 9547/9216, 1/2, -445/288, 
  -136553/20736, -234631/30720, -157/384, -65/256, -247/6, 1063081/10240, 
  140/3, -1361/48, 757/48, -85219/4608, 35/16, 239191/4608, -202901/1536, 
  24415/768, -62021/2304, -1614737/5760, -5977/768, -110687/27648, 
  279997/27648, 386947/27648, 46195/6912, 14991953/55296, 45781301/55296, 
  -89759/1728, -30443851/27648, 4228495/18432, 10404085/55296, 
  -2539705/27648, -179127329/552960, -126854101/414720, 663263/13824, 
  -17447/1024, -1820041/13824, -975869/13824, -35130499/55296, 3141149/9216, 
  13669281/10240, 145443173/138240, -22603/110592, -941069/1024, 
  -333015/1024, -18292525/82944, -955/768, 7643/512, 1509089/92160, -9/4, 
  4078777/18432, 88065367/552960, -61981579/165888, -1267813/7680, 
  -343681919/4976640, 8020909/18432, 246911/768, -120094415/55296, 
  161831/3072, 16759339/82944, -17379419/110592, -13700203/46080, 
  1651321/18432, 19232773/46080, 13583711/18432, -148099/3072, 
  -15052589/18432, 172539/2048, 16883/288, 4938293/27648, -1587781/9216, 
  7092997/2304, -463688171/184320, -2637865133/829440, -1130811/512, 
  663707/6144, 57474131/92160, -4406051/1440, 1/8, -1/4, 1/8, 95/512, 
  -301/1024, -39/512, -127/512, -39/512, -127/512, 83/1536, 1/8, -317/1536, 
  127/512, -127/512, 95/512, 127/512, -11/1536, -95/512, 95/512, 333/1024, 
  -1/8, 95/512, -1/12, -95/512, -301/1024, 333/1024, -1/12, -1/12, 95/256, 
  -1/12, -95/512, -301/512, 333/1024, -31/512, -135/256, 1/8, 127/256, 
  -11/1536, -111/256, 95/256, 333/1024, 1/12, 1015/1536, -445/1536, 5/768, 
  -1/4, 1015/1536, 87/256, -1/12, -1/8, -469/768, 87/256, -29/1536, 19/192, 
  -11/192, 1/12, -1/12, 29/256, -151/768, 215/768, 111/256, 1/12, 95/512, 
  9/32, 35/96, 29/256, -47/384, -337/3072, -151/768, -373/1536, 353/768, 
  -19/192, 1/32, 1/64, 293/1536, -35/192, -313/512, 1/64, -27/256, 119/384, 
  -293/1536, -39/256, 57/256, -5/192, 293/1536, 109/384, -35/192, -511/768, 
  -9/32, -27/256, 119/384, -293/1536, -539/3072, 1955/3072, -5/192, 
  -111/1024, -1/64, -47/128, -529/768, 1/3, -5/192, 1/64, 71/128, 119/192, 
  -431/3072, -87/256, 1/6, 95/512, 157/1536, 9/32, 1/6, -9/32, 29/128, 
  -47/384, -337/3072, -151/384, -373/1536, 131/1536, 1955/3072, 343/384, 
  -111/1024, -637/1536, 637/1536, 11/96, 95/512, 919/1536, -1369/3072, 
  335/1536, 47/128, 119/192, 589/3072, -83/256, -271/512, 95/512, 575/1536, 
  11/96, 341/3072, 1111/1536, -1369/3072, 463/1536, -33/1024, 25/1536, 1/64, 
  29/1536, -19/192, 181/1536, 29/1536, -19/192, 59/1536, 19/192, 499/1536, 
  77/192, 29/1536, -1/24, -11/192, -77/192, 11/192, 1/12, -1117/6144, 
  1117/6144, -1/12, -37/512, 413/3072, 19/96, -991/6144, -183/512, -17/1536, 
  -19/96, -1/12, 11/1536, -989/1536, -113/2048, 77/192, -191/3072, -173/2048, 
  2567/6144, 149/1024, 605/6144, -39/512, -77/192, -1937/6144, 1/12, 23/6144, 
  95/512, 1/12, 6493/6144, 17/24, -37/512, -25/384, 19/96, -373/6144, 
  -245/1536, -17/1536, -19/96, -1/12, -589/3072, -223/1024, -1141/1536, 
  -2797/2048, -191/3072, 35/2048, 1651/6144, 149/1024, 541/2048, 111/1024, 
  -763/2048, -445/512, 445/512, 413/1536, -41/128, -19/192, -19/192, 
  2507/1536, -347/384, -1/64, -779/768, -481/384, 61/256, -293/384, 1/64, 
  1/64, 885/1024, -1/64, -1117/6144, -1117/6144, 1117/6144, 1117/6144, 
  413/3072, 465/2048, 569/6144, 543/2048, 1/12, -59/384, 173/6144, 29/1536, 
  -2221/6144, -19/192, -4547/6144, -1859/6144, -29/1536, 19/192, 31/2048, 
  605/6144, -173/6144, 11/192, 629/3072, 209/1024, -11/192, -605/6144, 
  605/6144, 19729/4608, -109/4608, 109/4608, 109/4608, -109/2304, -1645/4608, 
  -1645/4608, -1645/4608, 467/576, -31/192, -31/192, -167/576, -1679/576, 
  -565/288, -565/288, -491/576, -55/128, 55/128, 44275/13824, 323/1152, 
  47/96, 863/576, 1089/512, -3047/1536, -61/1152, -61/1152, 5/4, 5/4, -35/96, 
  21/64, 37/128, 21/64, -5/8, -161/128, -5/8, -17/24, -17/24, 75/32, 75/32, 
  -59/48, -59/48, -19729/4608, -19511/4608, -109/2304, 1127/2304, -1127/2304, 
  44275/13824, 54145/13824, 323/1152, 3/4, 81/256, 281/1152, -569/1152, 
  -697/192, 47/96, 1303/1152, 1301/1152, 2087/576, 295/192, 863/576, 349/192, 
  209/36, -163/128, 1089/512, 107/128, 1/384, -3047/1536, -255/128, 877/2304, 
  -3/4, -365/32, -97/96, 1/128, 1717/384, -173/192, 17/24, -5/384, -595/384, 
  497/192, -75/32, 13/32, 11/24, 1/8, -25/16, 39/512, 551/2304, 39/512, 
  -1847/4608, 2221/9216, 285/256, -6007/9216, -57/1024, 289/1024, -39/512, 
  259/512, -39/512, 484411/184320, 3/8, 1673/4608, -697/1536, 16615/9216, 
  -156329/27648, -295/192, -235/768, 595/384, 295/384, -643/768, -253/512, 
  395/1024, -295/192, 5/768, 595/384, 295/384, -595/768, 271/1024, 271/1024, 
  237/512, -1457/1536, -111/1024, -9/64, -9037/15360, -12161/46080, -917/512, 
  739/256, 9817/3072, -1579/3072, -2725/1024, -1/64, -23975/27648, 
  919693/552960, -1127/4608, 1127/4608, -5825/3072, 2155/9216, -138047/92160, 
  2761/13824, -1211/576, 4739/9216, -1228291/552960, 9365/4608, 2761/13824, 
  -19663/9216, 111/256, -1228291/552960, 4493/2304, -2587/9216, -39571/30720, 
  35/1152, 947/3072, -743/9216, -1619/4608, -21215/9216, 1511/4608, 
  -671/3072, -19729/9216, 193/576, -27617/92160, 14947/9216, -49073/27648, 
  -241069/276480, -40109/27648, -359629/276480, 39/128, -40109/27648, 
  -839/2304, -873/1024, -359629/276480, 4991/9216, 3163/9216, 96053/92160, 
  12841/3072, 2365/9216, -50869/13824, -95939/55296, 3635/2304, 265079/55296, 
  -23329/55296, 17465/6912, -95939/55296, -437/144, 4505/55296, -23329/55296, 
  113357/27648, -39683/27648, -2501/4608, -5489/1152, -44719/27648, 
  -7679/768, -155041/55296, 46967/55296, 34951/9216, 154753/55296, -1679/576, 
  -121763/55296, 245755/110592, -5845/1024, -121763/55296, 15773/9216, 
  23179/18432, 245755/110592, -17179/3072, 217/27648, -49/128, -3281/3456, 
  4091/1536, -65345/6144, 39/512, -39/512, -39/512, -589/3072, 1101/1024, 
  839/1024, 643/512, -325/1024, -589/3072, 2321/1536, 621/512, 643/512, 
  -433/512, 1/16, -161/3072, -35/64, 875/1024, 89/576, -39/512, -83/1536, 
  89/576, 25/192, 7583/23040, -7583/23040, 1/384, -305/3072, -95/3072, 
  -83/1536, -2721/1024, -305/3072, -1775/3072, -59/3072, -2721/1024, 
  -439/768, 1/16, -3209/1536, -5153/3072, -1409/512, 805/384, -39/512, 
  -38287/13824, 551/2304, 2831/4608, 36181/13824, 43/128, 111/512, -3/8, 
  498631/184320, 39/128, -107/192, -6493/9216, 484411/184320, 1537/3072, 
  6619/9216, 38935/13824, -515071/276480, -7243/3456, 3/8, 21631/27648, -3/8, 
  -68989/27648, -18931/27648, -107305/27648, 477/1024, 65959/6912, 
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  113095/13824, -43/384, -1887/128, -103735/13824, 9913/1024, 48181/9216, 
  1733/2304, -12127/3456, -49183/9216, 382529/27648, -17/24, 11167/27648, 
  281/864, -8531/13824, -10825/55296, -20605/55296, -4289/6912, -373/2048, 
  -8531/13824, 295/384, -5/768, -595/768, -295/384, 595/384, -253/512, 
  415/512, 48001/55296, 395/1024, 1975/3072, 424639/55296, -23/384, 
  -752101/110592, 74315/18432, -71/96, 3281/3456, -247/2304, 276157/110592, 
  -51/32, 343/512, 2051/1024, -271/1024, -1223/512, -799/512, -2165/9216, 
  8611/3072, -73/1024, -161/3072, 237/512, 1321/768, 899/1536, -2101/3072, 
  -825/1024, -535/1024, 825/1024, -1/32, -269/512, 67/96, -211/3072, 
  241/1536, 5/144, -7583/23040, 5/144, 7583/23040, -967/2560, -9037/15360, 
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  4757/4608, 2725/1024, -2725/1024, 2171/1024, -917/512, 5/512, 5407/1536, 
  9817/3072, -517/384, 961/384, -961/384, -12557/3072, 5311/3072, 949/384, 
  95/768, 925/384, -643/3072, 59/384, 106309/27648, 33773/20480, 24961/6912, 
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  -289775/110592, -4981/864, -944485/110592, 3049/55296, 33209/27648, 
  -36343/13824, 399709/276480, 39/256, -1673/2304, -565/1152, 39/256, 
  -32239/27648, 4881/2048, -13169/18432, -6591637/110592, -2603539/36864, 
  -98491/55296, -95/36, 10081/4608, -362827/110592, 2834515/55296, 
  10337/18432, -40283/110592, -19799/27648, 907847/110592, -14939/18432, 
  8298659/110592, 271499/4096, 111341/110592, 15293/18432, 19661/13824, 
  -50761/13824, -811057/12288, -42463/27648, 289/1024, -73/768, 39/512, 
  -11/192, -39/256, 11/192, 427/3072, 703/1536, 199/384, -39/256, 515/3072, 
  -1753/1536, -39/256, -8567/3456, -661/1152, -19987/11520, 83105/27648, 
  339769/276480, 88139/9216, -171655/27648, -16375/6912, 284407/82944, 
  9835/3456, 63733/24576, -37015/13824, -3877/1920, -324451/276480, 
  2806879/663552, 395329/276480, 266059/41472, -2833/864, -16993/6912, 
  -5463257/829440, 425/576, -16375/6912, 63275/41472, 7489/3456, 
  317285/221184, 90539/27648, -7/144, -3877/1920, 292553/552960, 
  10421567/3317760, 395329/276480, 323419/41472, -52469/27648, -4247/3456, 
  -12479539/1658880, -367/768, 493/3072, -2909917/663552, 31805/6912, 
  -385973/110592, -325/2304, -182591/276480, -754793/73728, -1294649/552960, 
  -1846763/552960, 2982133/663552, -827/216, 18089/6912, 11284393/3317760, 
  -9341/13824, -175405/55296, -3905011/27648, 906433/12288, 244283/27648, 
  22747571/110592, 4853/1152, 1089395/6912, -3152051/110592, -171581/12288, 
  3943231/62208, 63737/55296, 265031/110592, 98053/36864, 1418863/27648, 
  -7654811/221184, -11219825/331776, -51959/18432, -247975/110592, 
  -4678465/55296, -11141/13824, -3528803/110592, -3190301/221184, 
  -5217547/995328, 2735939/110592, 42013/12288, 63737/55296, -158617/110592, 
  -10115/36864, 41401/864, -5126915/221184, -7289549/331776, -51959/18432, 
  176765/110592, -1504687/18432, -11141/13824, -1114135/36864, 
  -4144517/221184, -1940341/995328, 296029/12288, 875609/110592, 9/32, 
  211589/55296, -98567/36864, -319/128, -6119/768, 571/256, -115835/55296, 
  -531395/110592, 3566843/110592, 3085/6912, -828509/12288, 57629/1152, 
  8377925/165888, -3352273/55296, -81420007/995328, 35051/55296, 
  370415/110592, 424639/110592, 75247/27648, 53207/12288, 53549/110592, 
  -110183/110592, -370415/110592, -331009/110592, 40081/110592, 
  6695167/110592, -403291/221184, -13695497/221184, -6653375/110592, 
  8531/13824, -13985/18432, -41485/6912, 1436503/110592, 571/216, 
  -5192653/73728, 249865/110592, 90967/110592, 198097/36864, -255823/110592, 
  -7057/110592, 2228075/36864, -660163/110592, -14542885/221184, 
  -1681091/27648, -120637/27648, -13985/18432, -176111/27648, 1415813/110592, 
  2185/864, -15849491/221184, 122173/110592, 90967/110592, 516113/110592, 
  -120863/36864, -7057/110592, 2206873/36864, -848521/110592, 
  -13833497/221184, -6638435/110592, -8531/13824, -9/32, 382159/110592, 
  424639/110592, -223/384, 25/64, 667/768, -17375/18432, -370415/110592, 
  -2864107/110592, 25679/36864, 11101391/110592, -1422119/221184, -4873/72, 
  -4189769/110592, -349201/221184, -19/192, 75/256, -149/768, 111/512, 
  -479/1536, -181/1536, 29/1536, -29/1536, -29/1536, 1/64, 51/32, 
  -815197/55296, 81235/4608, -16975369/110592, -37/256, -2051/1024, 
  64397/4608, 33/256, 349/3072, 343/256, -703283/110592, 2107/3072, -149/256, 
  1/64, 141/64, 11/8, -808861/55296, 178417/9216, -16917769/110592, -37/256, 
  -1333/512, 127519/9216, 33/256, -163/384, 263/1024, -819959/110592, 
  233/256, 111/1024, 17/48, -17/48, -19/96, -413/768, -173/384, 111/512, 
  -73/768, -47/128, -183/256, 2261/1536, 87/128, -539/3072, -253/1536, 
  -8471/3072, -311/1152, -109/384, 699/1024, 137/1024, -2965/1536, -691/1024, 
  -283/3072, 857551/55296, -83563/4608, 889267/55296, 14902825/110592, 
  16855093/110592, -2167/768, -63661/4608, -57937/4608, 4895/1536, 
  -821515/55296, 2683271/110592, -8153719/55296, 98257/9216, -737591/110592, 
  -283/3072, 813847/55296, -75863/4608, 872743/55296, 15372097/110592, 
  16882237/110592, -2167/768, -144809/9216, -143651/9216, 4895/1536, 
  -824485/55296, 2438315/110592, -8163601/55296, 130495/9216, -787127/110592, 
  -721/512, -253/1536, 3787/3072, 249/1024, 2479/9216, 2227/1024, 3621/1024, 
  3235/3072, 2527/3072, -7/192, -16873/9216, -945/1024, -73957/82944, 
  -1563749/165888, 42161/13824, -493/3072, -3131/12288, -13672843/663552, 
  385973/110592, -18887887/663552, 325/2304, 773173/414720, 62615/6912, 
  212773/829440, 5483027/552960, 3618599/552960, -223991/138240, 
  -68537/92160, 73957/82944, 65931/4096, -4147967/663552, -1231/1152, 
  2615047/165888, -295/54, -1004753/414720, -30475439/1658880, 
  -1022971/103680, 103073/36864, -2187641/331776, 3523343/663552, 
  101665/13824, 15148999/1658880, -9365/4608, -64123/41472, 536387/165888, 
  9835/3456, -288671/331776, 690127/165888, -17357117/663552, -63083/25920, 
  -409861/276480, -34577/41472, 648419/103680, 296585/165888, -479509/414720, 
  64123/41472, 84421/20736, -21167/3456, 325241/165888, -711041/221184, 
  644113/414720, -1162291/414720, -16993/6912, -94849/829440, 
  -1199119/165888, 46381/13824, 642547/165888, 37279/27648, 406865/110592, 
  98053/36864, 9/32, 36139/9216, -7323929/73728, -367/384, -570685/55296, 
  523/768, -67585/18432, -331447/110592, -118715/55296, 793507/27648, 
  3812021/110592, -1949/13824, -16415/27648, -18119/27648, -2513857/55296, 
  -1576703/221184, -1181371/27648, -194807/110592, 32993/6912, 8501/4608, 
  2044855/55296, 761983/55296, 86677/55296, 923245/27648, 389123/36864, 
  -5609/1728, -3126469/110592, -53/24, 35051/55296, 250805/110592, 
  424639/110592, 90689/55296, 66497/12288, 173159/110592, -110183/110592, 
  -370415/110592, -450619/110592, -2215/2048, 40081/110592, 20381/55296, 
  43273/576, -1648471/221184, 7115423/110592, 173741/2304, -4289/6912, 
  -22991/27648, -4124585/55296, -7062535/110592, 25601/55296, 
  -7088333/110592, 257911/110592, 47/13824, 7118137/110592, 8531/13824, 
  19/192, 1117/6144, -683/6144, -1117/6144, 25/2048, -111/512, -413/3072, 
  521/6144, -569/6144, 181/1536, -19/192, -157/1536, 854563/110592, 
  -170219/18432, 16896313/221184, 19/96, 1511/6144, -65657/9216, -19/192, 
  -319/2048, -39/512, 817871/221184, 319/2048, -349/1536, 349/1536, 967/5120, 
  -1229/15360, 647/6144, 349/768, -349/1536, -7099/10240, -18053/46080, 
  2119/18432, -349/1536, 39/1024, 955/2048, -39/1024, 1/12, 859261/55296, 
  -83563/4608, 402545/27648, 14899405/110592, 17004043/110592, -615/1024, 
  -30835/2304, -25/1024, -115303/9216, -2317/6144, -1025/1536, -297/256, 
  -1/12, -853225/36864, 3680339/110592, -808663/110592, -47477669/221184, 
  -16899769/221184, -409/1536, 15265/768, 142813/18432, 185/128, 
  832729/110592, -1365223/73728, 8085301/110592, -17861/2304, 729167/221184, 
  -109/4608, -26533/3072, -3049/4608, 43/256, -235/128, -267/128, 
  588397/23040, 619/768, -1/8, -5/8, 13/96, 1/2, -453/256, -295/192, 
  6275/1536, 43/18, 6727/768, -19729/1536, 175/768, 4543/768, 25169/2304, 
  -83/48, 89/192, -113/576, 113/576, -4475/3072, -19729/4608, -19729/4608, 
  13/72, -1027/1728, 2593/3456, -21905/2304, 5/384, 127/64, 203/64, 3305/384, 
  -8761/768, -114989/13824, 19729/2304, -839/4608, -120229/13824, 
  -45547/6912, 5423/768, -17831/2304, 149203/6912, -17/384, 9835/1728, 
  34405/13824, 34405/13824, 5713/7680, -1/18, -15041/1536, -15893/1536, 
  -87071/9216, -3/4, 773/96, -85/256, 1333/768, -1385/768, -3167/384, 
  125/128, 973/576, 28859/2304, -135/128, 3617/1152, -2/9, 259783/46080, 
  -111931/5120, 1/48, 319/192, -5933/768, 181/48, 355/192, -1/576, 8929/1440, 
  -17/288, -86417/13824, 5057/864, -111/256, 56867/4608, -36259/3456, 
  30757/6912, -36259/3456, 40985/4608, 5539/3456, -26245/1536, -5539/3456, 
  -5539/3456, 1835/4608, -33835/4608, -4315/288, 8131/288, 19445/4608, 
  49613/4608, 9835/1728, -44951/20736, -37/128, -9709/2304, 27745/6912, 
  -5539/3456, -9245/4608, 17/288, -204379/23040, 5/144, -26245/1536, 
  -5539/3456, -5539/3456, 6607/9216, 205553/13824, 73/96, -407/576, 
  -5977/576, 491/48, -79169/165888, -16721/82944, 275527/82944, -19929/2048, 
  112417/110592, -45407/110592, 69217/110592, 4517/1152, -1973/1152, 113/48, 
  -103/48, 491/384, 1111/128, -287/256, -221989/165888, -1793/256, 
  622339/165888, 858427/165888, -388897/110592, -173761/110592, 
  242161/110592, 119/16, 55991/110592, -261241/110592, 294577/55296, 
  129841/55296, 5/4, 5/192, 25/16, 313/96, 295/192, -37/144, -58957/7680, 
  -5/2, -5/2, -63/32, -875/96, -161/192, 181/96, -1/8, -1/576, 67/576, 
  -5539/3456, -5743/3456, -11/192, -9779/2880, 2/9, -25247/27648, 
  -63757/9216, -66325/110592, 20371/3072, 11873/9216, -842773/552960, 
  7273493/2488320, 2844577/2488320, -2459281/248832, 26165/2304, -25/768, 
  -867625/82944, 241459/10368, 1138267/82944, 1059763/55296, 147715/4608, 
  -2687287/165888, 11671939/1658880, -347885/82944, -2981/4608, -2049/1024, 
  -931/1152, -2107/2304, 45383/9216, -145/64, -1357/1024, -165215/13824, 
  -85607/9216, 446003/46080, 1523/9216, -59201/27648, 59201/27648, -2537/576, 
  -59201/27648, 5635043/55296, 537/512, 633935/6144, -9251939/552960, 
  -6939239/552960, -682829/276480, 10279039/552960, 5493187/55296, 
  -3510719/36864, -10248445/110592, -11089/6912, 10466113/110592, 
  32141/27648, 428089/276480, 12893/20736, -631/2304, -57989/27648, 
  171019/9216, 27293/27648, -1123/1536, -1135/384, -1199/256, 7003/4608, 
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  -239699/27648, -38581/3456, 1345/2304, 385/512, 575/768, -84487/5760, 
  -7133/2304, -9649/2304, -2881/576, 289585/27648, -103/512, 5387/3072, 
  425/384, -2023/1024, -260369/82944, 46783/7680, -82689605/663552, 
  245712013/1658880, 313187/18432, 63161/2304, 356591/55296, -135073/6144, 
  -284465/27648, -21661/648, -1190093/13824, 1534195/82944, -2678723/829440, 
  107527/20736, 1618541/82944, -8288959/1658880, -5131217/124416, 
  -115105/13824, 1977733/165888, -10003289/1244160, 2281495/497664, 
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  -72217/27648, 100673/27648, 24395/13824, 304303/41472, -21503/6912, 
  1208707/552960, 467719/41472, 763789/73728, -71458061/552960, 
  3922727/165888, -11453/20736, -3922727/165888, -83117861/663552, 
  6629/13824, -4607/13824, -82309877/663552, 133910801/829440, 
  19560263/61440, -197087/18432, -133668017/829440, 15/128, 
  -150609431/1658880, -61/384, -519183733/1658880, 149160359/1658880, 
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  1282793/13824, -129395/3456, -5488651/1658880, -30405731/331776, 7089/2048, 
  1442713/13824, -10858553/331776, 588599/41472, -2617829/27648, 29/768, 
  453/512, -628177/55296, -944513/27648, 51887/3456, 4789/27648, 
  1243937/27648, 1926287/9216, -99471187/165888, -5341891/4608, 
  -247683847/331776, -5308225/36864, 860629/4608, 18625627/165888, 
  2623649/3072, 61369819/110592, -15812315/110592, 588775/3072, 
  19699441/165888, 23603411/27648, 63138887/110592, 10640471/27648, 
  -12538673/110592, -298525/1152, -63052823/27648, -501982535/331776, 
  -100769/13824, -334273/110592, 22413127/1327104, 239/96, -12147643/1327104, 
  -313979/221184, -24157327/2654208, 400519/2654208, 92221/27648, 
  22981235/2654208, 1559221/221184, -34432015/2654208, -64990817/2654208, 
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  -70879/110592, -3655/4608, -3379/1152, -32191/55296, 130001/55296, 
  3379/1152, -42107/13824, -382225/55296, -476299/110592, 91531/27648, 
  271/1024, -15817/9216, -164579/55296, 79397/110592, 1135/576, -2635/1024, 
  -10476973/73728, -68611333/663552, 265803359/110592, 11911106999/7962624, 
  177917879/276480, 749787527/829440, -16119781/221184, -158591/13824, 
  -189835379/3317760, -1268603911/6635520, -2891528617/9953280, 
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  -759660163/3981312, 104301649/3317760, 534414973/1105920, 
  464807503/1105920, 9652477/13824, -345224725/663552, 1013451179/1327104, 
  446407/13824, -1934187131/1327104, 5167711/27648, -4927379029/2654208, 
  -10862483/55296, 135515/55296, 3309217/110592, 1299181/6912, 
  -4931693365/2654208, -5155753/27648, 534673/55296, 729535/110592, 
  -18956087/55296, 345190165/1327104, 1260716197/2654208, -307295/13824, 
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