{{1, -1, 2, -1, 1, 1, -1, -1, -1, 1, 1, 2, -1, -1, -1, 1, 1, -1, 1, 1, -2, 
  -1, 1, -1, -1, -1, 1, 1, 2, -2, -2, -1/2, -1, 2, 1, 1, -1, -1, 1/2, 1, -1, 
  -1, -1/2, -1, -1/2, -1, 1/2, 1/2, -1/2, -1/2, 1/2, 1/2, 1/2, 1/2, 7/2, 
  -3/4, 5/4, 1, 1, 1/2, 1/2, 1/2, 1/2, -3/4, 1/2, 1, -1/2, 3/4, 2, -1, -1, 
  1/2, 1, -3/4, -3, 3/4, -1, 1, 1, -1/2, -1, -1/2, 3/2, 1/2, -1/2, 3/2, -1/2, 
  5/4, 1, -5/4, -5/4, 1/4, -3/4, -3/2, -1/4, -1/4, 1/4, -3/4, 3/4, 1/2, 1/2, 
  1/2, 1, -5/4, -1, -1/4, 1/4, 3/4, 2, 5/2, 1/2, -1, -2, 3, 2, -1/2, -3/2, 
  7/4, 1/2, -1/2, -1/2, 1/2, 1, 5/2, 3/4, 1/8, -1/2, -1/4, -3/4, 2, 5/2, 3/4, 
  -1/4, -1/2, 1/8, -1/4, 5/8, -1/8, -1/2, -1/2, 1/2, 1/2, 1/2, 1, -1/2, -1, 
  -11/8, -1/8, 1, 1, 7/8, 1/8, 3/8, -1, 1/2, 5/2, 9/8, 1, -1, -1, -3/4, -1/2, 
  -7/4, 3/4, 1/8, -1/4, -1/2, -1/2, 1/2, 1/4, 1/8, -5/8, 3/4, -3/4, 5/8, 3/2, 
  -1/2, 1/2, 3/4, -1/8, 1/4, -1, -5/8, -3/4, 1/2, 5/8, 1, 2, -2, -3/2, -3/2, 
  3/2, -5/2, 3/2, 4, -3/2, -8, 4, 1/2, -11, -3/2, 1/2, 1, 2, -1, 1/2, 2, 
  -1/2, 6, 4, -5, 4, -3/2, 7, 5/2, -1, 1, 1, 1, -1, 1, 1, 1, 2, 2, -1, -2, 2, 
  139/4, -2, -147/4, 15, 195/4, -8, -173/2, -135/4, 21, -41, 1, 117/4, 21, 
  20, 1, -1, -1, -1, -13, 21, -84, 1, -1, 43, 1, 2, -3, 5, -1, -2, -1, -1, 
  -1, -1, 2, -2, -1, 1, -1, -3, 2, -2, 2, -2, 4, 2, 1, -1, -1, -5, 5, 5, 5/2, 
  3/2, 3/2, -4, 5/2, 15/2, 3/2, 15/2, 3/2, -5/2, -5/2, 1, -1/4, 3/2, 1/4, 
  -1/2, -1/4, 1/2, 1/2, -5, 1/2, 5, -1/2, -1/2, 2, -5/4, -27/4, -2, -1, -5/2, 
  -5, -1/2, -1/2, 2, -3/2, 15/4, -3/2, -1/2, 1/4, 2, -21/4, 16, 29, -9/4, 
  -5/2, 5, -91/4, 1/2, -5/2, -3/2, 5/2, 1, 7/4, 51/2, -1, -4, 3, -103/4, 5/2, 
  9/4, -47/2, 7/2, 1, -2, 2, 1, -3, 7/2, 1, -3/2, -18, -177/10, -119/20, 
  675/8, 651/8, 301/5, 119/10, -651/8, -119/20, -183/10, -483/10, 3, 454/5, 
  145/4, 3/2, -11, 2, 39/2, 14, -85, 15, 62, 42, 3/2, 1, 39/2, 121/4, -44, 
  -449/5, 9/2, 344/5, 643/10, -3/4, -13/4, -1, -9/2, 2, -29/4, 7/2, 15/2, 
  37/2, 1597/20, 487/20, 5/2, -2437/20, -145/2, -7/4, -1, 69/4, 1, 1/4, 11/2, 
  11, 33/2, -33/4, 137/4, -78, -271/4, -13/4, 2, -2, -1, 1, -9/2, 21, 
  -443/10, 3/2, -5/2, -11/2, 5/2, 4, 1, 5/2, 3/2, -5/2, -1, 1, 1, -4, 6, 6, 
  -6, -2, -1, -6, 3, 5, -1, 1, 1, 5/2, -5/2, 1/2, 5/2, -3, 1, 5/2, -13/2, 
  -7/2, 1, -1, -1, 4, 3/4, -9/4, 1, -1, 1/2, -7/2, -1, 3/2, -61/8, -109/8, 
  -5, 5, -5, 5, -10, -10, -45/2, -10, -10, -45/2, -2, 2, 59/4, -5, -27/4, 
  -35/4, -10, 35/4, 10, 19/4, 5, -117/8, 67/8, -27, 109, -84, -1, -5, 13/2, 
  15/2, 3, -2, -3/4, 27/4, -13/2, -3/8, -7/4, 53/8, -5/4, -1/4, 13/8, -11/4, 
  -1/2, -1/4, 517/32, 393/16, -1, 239/32, 969/160, -613/20, 191/32, -1019/20, 
  -8, 1/2, -5/2, 2, -2/3, 13/6, 5/2, 15/4, 15/4, -3, -89/8, 11/4, 65/8, -7/4, 
  -19/8, -9271/272, -27/8, 17/2, 3945/272, 35/4, 2, 12707/816, -1/4, -2, 
  -1/2, 3, 5/4, -75/8, -9, 9/8, -2, 19/2, -3/4, 1/4, 7/4, -1/8, 3/4, -1/8, 1, 
  117/4, -5/2, -1/2, -11/4, 23/8, -41/2, -4, -3/4, 1/2, 33/8, -5/4, -25/2, 
  -1/8, 2, 3/4, -1/8, 27/8, -3/8, -3, -21/8, -83/8, -73/8, 53/8, 1, 9/2, 1/2, 
  3, 149/8, 27/8, -1/4, -7/4, -1, 37/8, -53/4, -131/8, 159/8, 13/4, -41/8, 
  65/8, -9/4, 11/4, -3/4, -81/8, -11/4, -1, -21/8, -93/8, 1/2, 9/2, 1/2, 
  125/8, -1/4, -3/2, -1/2, -23/8, 1/2, -37/8, 13, -3, -7/8, -3/4, 25/2, 
  -27/8, -1/4, 15, 2, 45/8, -1/4, 273/16, -15/2, 369/32, -1, 265/16, -26, 
  211/8, -123/40, -247/32, 348/5, -111/20, -3419/160, -137/20, -14, 3, 
  1257/160, 949/20, 15/2, -9, -93/20, 565/16, 22/5, 7/4, -215/8, -1/4, 2, 
  601/40, 185/32, -74/5, 1425/32, -7/2, -2, 2877/80, 1, -11, 733/20, 
  -2143/32, -811/40, 1001/32, 1139/40, -38/5, 8869/80, -2037/40, -61/2, 
  223/8, -53/4, 9/8, 29/8, 29/8, -19/4, -3/2, -87/8, 1/2, -13/8, -1/2, -73/2, 
  -129/4, 107/8, 1/4, 155/4, 53/8, 227/40, -63/10, 531/16, 1791/40, 243/16, 
  -271/20, -141/8, -811/40, 657/40, 141/2, 147/4, 89/80, -897/5, -15, 29/8, 
  -9/4, -1/2, -13/8, -1/2, -127/4, 1, 1/4, 36, 9, -63/10, 193/4, -1, -37/8, 
  -137/8, -805/16, 727/40, 331/8, 861/20, -929/16, -5993/40, -223/4, 59/12, 
  -19/3, -1, -1, -29/24, 25/6, -1, -29/24, 5/8, 25/6, -1, -3/2, 7/2, -1, 9/4, 
  -7/4, 7/4, -7/2, -1/4, -3/4, 2, -1/2, -1/2, -7/8, 20/3, -37/12, 239/24, 
  17/4, 14/3, -7/3, -27/8, 11/24, -9/8, 1/24, -1/2, 2, -2, 3, 3, -7, -1, 2, 
  -7/2, 5/2, -3/2, -7/2, -5, 5/2, 1/2, 3, -1, -79/12, 1/2, -139/8, 131/24, 
  31/3, -1/2, 473/24, -15/4, -3/2, 1, -1, -11/2, -3, -3/2, 3, 3, 4, 5/2, 
  -3/2, 13/4, 2, 7/4, 9/4, 6, -9/4, -1/2, -1/2, -27/4, -7/4, 89/24, 23, 
  -55/24, -241/24, 239/24, -22/3, -233/12, 33/8, 29/8, -53/24, -33/8, 53/24, 
  -1, -5/2, 5/2, 1, 21/4, 7/4, 5/2, -2, -3/2, -9/4, -1/2, -15/4, -7/4, 1, 3, 
  4, 51/4, -1/4, -71/24, -157/6, -1/8, -17/4, -23/3, -3/2, -239/48, 107/8, 
  -15/4, 704/17, -4901/136, -15/4, -87/8, 4901/136, -5, 23/8, 13/8, -129/8, 
  43/8, 53/4, -2, 101/8, 2, -75/8, -3/4, 25/8, 1/4, 1, 2549/272, -1/4, 
  -10085/272, 789/34, -10913/272, 3159/68, 1/2, 1/4, 35/272, -3219/272, 
  -2715/544, 2845/272, 4923/544, -523/68, -1/2, 815/272, -9/4, 141/32, 
  48397/816, -1/4, 273/16, -1519/272, -319/32, 465/272, -77/32, -49/34, -1/2, 
  -1565/272, -9/4, 5473/272, 4345/544, 48397/816, -1/4, -5/12, 9/8, 11/6, 
  3/2, -27, 27, 27/2, -29/2, -55, 5/12, 29/2, 331/12, -5/12, -29/2, 29/2, 
  -5/12, 3/8, -1/3, -3/2, -7/8, -1/2, -33/4, 1, 1, 5/2, 55/4, 11/4, 1/2, 
  -1/2, 3/4, 1/4, -83/8, -1/4, -5/4, 45/16, -11/8, -1, -1/2, 1/2, -1, -39/2, 
  5/2, -1/4, 55/8, -131/40, 199/8, -5/4, -5/2, -439/40, 263/32, 65/8, -9/8, 
  3/4, -21/2, -5/4, 165/16, 911/40, -937/32, 1/2, -1141/40, -131/40, 829/40, 
  -1219/80, -28, 41/2, -1/4, 1/2, -1/2, 1/12, 7/12, -1, -3/4, -3/2, -1, 15/4, 
  7/4, -5/4, 5/4, -1/4, 9/4, 2, 3/4, -1/4, 3/8, -1/2, -13/8, -7/4, -5/8, 
  29/12, 141/16, 1, -47/48, -13/8, -7/24, -349/24, 167/48, -3/4, -1/2, -9/4, 
  3/4, -5/8, -5/8, -1/2, -1/2, 1, 1/8, 3/4, -3/8, 1/8, -5/8, 21/16, 
  -2337/272, 325/32, -2801/272, -265/32, 1157/68, -8, 5/4, -1725/272, 
  2587/136, 5/4, -9/32, 5/8, 2007/68, 17497/816, -2587/136, -5/8, -29/6, 
  29/6, -29/6, 5/12, -9/40, -7/10, 4141/200, 65/6, 1, 6, 7/2, -3, -99/8, 
  -1/2, 131/8, -2755/68, -7/2, -3/2, -4, -9, -1, -155/16, 3483/2176, -441/32, 
  1, 5997/544, 589361/8160, 180673/2176, 7, -3, 1, -9, 5, -5, 45/2, 119/20, 
  -119/20, -45/2, -647/10, -119/20, 237/10, 211/5, -9/20, 9/20, 9/20, -5/2, 
  5/2, -1/4, 5/4, -3, -15/4, -19/8, -12, -83/8, -1/2, -5/2, 79/10, 12, 42/5, 
  -31/4, 1/2, 39/4, -7/2, -52/5, 14, 13/2, 1, -21/4, 9/4, -5, 65/8, 47/8, 
  -37/8, -17/8, 5/4, -107/8, -75/8, -5/4, -1/2, -3, 89/4, -10117/136, 
  -7841/272, -14, -89/4, 16955/136, 2127/68, 14, -667/272, 41/4, -17/8, 3, 
  -41/4, 12631/328, 145/2, 5/8, -12631/328, -32/5, -28517/255, 20147/816, 
  89/10, 305111/4080, -1, -3, 17, 119/20, -17601/136, -606467/2040, 
  15101/102, 7/4, -109/10, 340633/680, -35, 49/4, 244/5, 365903/2040, -329/4, 
  -147/4, 3/2, 36247/204, 25753/816, -106/5, -288379/1020, 21, 525/4, 
  -243177/1360, -146, -183, 5/2, 3/2, 241/4, -1, -1, -106/5, 155/68, 21, 
  179/2, 3127/20, -5931/68, -792/5, -1337/20, 1177/36, -19/4, -731/36, 35/12, 
  -175/12, -35/4, -113/9, 77/4, 15/4, -173/12, -1/2, 95/8, 147/4, 100/3, 
  -201/8, 2, 1/3, -409/12, -3/2, 1/6, -11/2, 1/4, 1/3, -1/2, -77/6, 3/4, 
  -607/12, 4, 377/6, -5/2, 23/2, 533/12, 5/2, -37/6, -9/4, 1/2, 31/6, 1/2, 
  -3/2, 805/12, 31, 136/3, -109/3, -433/12, 3, -199/3, -487/12, -3/2, -5/2, 
  -11/2, 2, 5/2, -1, -23/4, 159/4, 63/4, 5/2, 11/2, -751/12, -85/3, -1/2, 
  -39/4, -241/8, -106/3, -9/8, -97/8, -3/2, -13555/204, 18757/204, 5953/51, 
  -92839/408, 55325/408, 13, -46847/408, -15473/816, 59495/408, 26485/1632, 
  -23/4, -1, -30517/204, 1, -73019/816, 1/2, 34235/1632, 24329/204, -11, 
  -18941/204, -10, 9841/102, 20879/204, -3824/51, -10, 6, -31483/204, 13, 
  -8453/68, -1450/51, 77301/544, 7315/34, 17689/1632, -19/2, -18941/204, -10, 
  35, 17819/204, -1, -10, 6, -34543/204, 13, -9907/204, -940/51, -36317/1632, 
  7655/34, 165173/1632, 3/2, 3, -87/2, -3/2, 145/2, 87/2, 399/82, 6139/120, 
  1, 2741/30, 3851/120, -111041/1230, -4, -1677/410, -6881/120, -364/205, 
  -9/5, 39/10, 7/3, 137/6, 7, 4207/60, 21491/150, -492809/4920, 26951/1640, 
  7313/40, -3/2, 213/4, 3, -5863/20, 3/2, -511/4, 4413/40, 137/4, -145/4, 
  -185/8, -143/8, 171/16, 3067/68, -86001/1088, 1919/34, -5221/2176, 
  -8831/136, 2, -40377/544, -1, -8043/1088, 26891/340, -10991/1088, 
  937757/8160, 262743/10880, -56089/492, 26, -183411/1640, 91/10, -1567/96, 
  -1105/96, -147/8, 1201/96, 147/8, -17567/240, -797/15, 12211/120, -171/16, 
  3/8, -5/4, 2459/96, 1553/96, -3, -1087/24, -83/3, -1745/96, 323/12, 
  2519/80, 577/40, 119/16, -3137/40, -145/4, -1535/32, -1243/32, -2779/96, 
  -1231/96, -1, -131/24, 2293/96, 1231/96, -121/24, -14837/120, -5101/60, 
  -16, 16727/120, -507/8, -511/16, -1523/32, -3/2, -2497/96, -1, -5/4, 
  2533/96, -503/96, 125/24, -857/48, -46423/480, 19147/288, 102397/720, 
  511/30, 11083/272, -5, -11891/136, 5, -5, 5, -2935/136, 4211/136, -1, 
  -141549/1360, -129301/1088, -1215/68, 258483/2176, 25/68, -5221/2176, 
  7265/32, 1, -9873/544, -1378759/10880, 59/20, -26201/2176, 119563/1020, 
  269/8, 1607/136, 4295/68, 10, -15/34, -9899/136, 4, -6979/136, 4, 
  10307/136, -3, 36731/272, 19581/136, 7277/1088, -5015/16, 480927/5440, -16, 
  4635/68, 10, -21/2, -8539/136, 2, -6299/136, 4, 11667/136, -3, -7069/272, 
  18221/136, 40037/1088, -5207/16, -654369/5440, 48/5, -46/5, 27331/240, 
  -39/4, 85973/1200, 71/10, 93983/600, -179/41, -9/20, -524797/2400, 6/5, 
  -25877/150, 1344727/2400, 58237/492, -100403/600, 65/41, 229031/480, 
  51089/410, -209/205, -1879/160, -101/20, -5207/160, 6/5, -260173/960, 
  678493/7872, 180439/480, 10486933/39360, 105443/1800, 4113203/98400, 
  5439619/14400, -11551/200, -900013/24600, -31131/160, -81/20, 1295/64, 
  89/20, 55721/192, 121369/200, 87/20, -724429/4800, -358781/800, -63/4, 
  -149/72, -635/36, 1/72, 43283/2448, -9137/306, 421/12, -9893/2448, 
  86041/612, 13093/306, 5/3, -52/9, -19/9, -5437/102, 1139/36, -106567/2448, 
  35857/612, -4796/51, 197/24, 4555/34, -54, -18, -32377/480, -34331/480, 
  -146179/1968, 7/2, 5/2, 1/2, -49/8, 267/8, -17/2, -6499/272, -3/2, 37/2, 
  11/2, -37/2, -4, 5/2, -15/2, 6, -5, 17621/204, 3/4, -13783/102, -2841/136, 
  -9/4, 71/2, -38, -71/2, 38, -83/4, 15/2, 94, 5, -40937/204, 1283/12, 
  -30439/816, -12757/136, 60587/272, 35/4, 103/2, -35/4, -103/2, -13/4, 1/2, 
  143/2, 4, -88309/408, 1475/12, -18793/816, -9085/136, 7467/34, 81, -257/30, 
  -3/4, -16433/240, 205, -196, -83, -105, 136, 87, -1015/8, -399/82, 
  -1183/120, -148169/4920, 1857/205, -737/2, -108, 701/2, 673/2, 1047/2, 
  -551/2, -671/2, -10973/40, 34991/96, 17619/32, 786613/2460, -24005/1968, 
  -54, 303, -169, -1763/12, -21/4, -733/20, 34771/240, -2/3, 1/4, -8/3, 2/3, 
  -1/3, -7/3, 1/4, 1/3, 1/12, -1/12, 13/3, -409/8, -29/6, 1/2, 243/4, 1/2, 
  27/4, 203/16, 253/24, -3889/48, 21/2, 1, -1777/24, 1, -1/2, -611/15, 
  923/16, 155/4, -905/16, -61/5, 437/60, -17051/120, 173/5, 559/10, -205/4, 
  -409/10, -15/4, 5/4, 15/4, -5/4, -1/4, 11/12, 3/2, 5/4, -9/8, -3/4, -77/24, 
  9/8, -3/4, 575/48, 3/4, -239/48, 5/4, 3/4, -853/48, -1/4, 9/4, -9/4, -5/4, 
  5/4, 61/12, 5/4, 1/4, 9/2, 22537/816, -3/4, 9/2, -63/20, 5153/136, 
  262561/2040, -1, -20159/816, -3/4, 1, -4, -126757/408, 553/32, 521/16, -1, 
  5/2, -997/20, -15/2, 39/2, -91685/816, -1341/32, -17/4, 73/2, 235691/1632, 
  -147/5, -9/4, -207/2, 118697/1632, 139/5, 129/2, -1, -7/2, 83/8, 155/6, 
  -11875/1224, 3/2, -3/2, 1, -51/4, -217/4, 29/12, -61/12, -433/48, 13/6, 
  5/4, -35/8, -47/4, 1595/48, -194699/2448, 25/4, -35/12, -1967/72, 317/18, 
  5, 185/48, -23843/272, 28/3, 55/24, -5/2, 385/24, 137/3, 83/8, 1/2, 
  -581/12, 5/4, 3, -27/4, 5, -157/3, 37/8, -67/8, -37/8, -7/4, -157/12, 
  -15/8, -383/24, 63/16, 757/48, 15/4, 565/24, 9/2, -2, 11/8, 21/8, -99/8, 
  -15/8, -1/2, 3, -285/16, -17743/272, -15/4, 1015/32, 17505/272, 93/32, 
  65/4, 10, -134377/816, 27/2, 83/16, 38563/816, -57359/816, -229/16, 
  -9107/272, -71/8, -55/4, 9595/34, -27/2, 147241/1632, -29/8, 14933/544, 
  -95903/816, 25/8, 1249/30, -69/40, -739/30, 77/40, -1513/30, -209347/3280, 
  4039/240, 69973/1230, -35/12, -1403/60, 5909/820, 69/40, 1417/25, -13/10, 
  5, 3057/80, -565/8, -23/2, -69/4, -6737/410, 1459/200, 20577/328, 777/82, 
  1, 21/16, -829/96, 3/2, -7831/288, -757/32, -11/2, -1853/288, 5/4, -11/4, 
  1249/144, -3/4, -2851/96, -263/288, -377/36, 5/8, 5/8, 541/144, 13/8, 
  767/48, -27227/480, -63/20, 4601/288, 2489/80, -215/96, -14327/360, 
  -2011/160, -29983/1440, 27643/720, 8559/80, 135/8, -1077/160, -1149/8, -7, 
  17/16, 241/272, 5/2, -1523/32, -1197/272, 5/4, 1047/32, 132/17, -3, 91/8, 
  -11/4, 16747/272, -9/4, 559/136, -17/4, -17/4, 25981/1088, 30771/340, 
  -138587/2176, -1319/17, -3767/544, -211103/2720, 63/4, 1941/136, 37/2, 
  -887739/10880, 113/20, -4041/160, 9059/120, -159/8, -31381/480, -179/40, 
  25111/480, -121/40, -40567/960, 29/2, 27/40, 5065/192, 21/8, -11/6, -59/4, 
  -185591/960, -5/4, 14618/75, 141/40, 37/8, -47209/480, 37/20, 
  1794169/14400, -227989/3936, -89357/1440, -940541/13120, -375911/2400, 
  -951/40, -28267/800, 20241151/98400, 115/4, 2, 13/4, 3/4, -5/6, -21/8, 
  55/4, -239/72, -15/8, -1463/72, 13/144, -5, -3/2, 19/18, 61/8, 205/36, 
  -49621/1224, 1/2, 31/18, 1505/48, -1/2, 11/8, 3/4, -7/2, 125/8, -3/4, -14, 
  -17, 18, -71/8, -2, 149/8, 33/4, 405/8, -1, 6, -4183/136, 16075/816, 
  -30271/272, 14339/272, -143/34, 3091/272, -37/4, -21161/272, -87/8, 
  58709/1632, -3/2, 44185/816, 10243/204, -127, 173/2, 1, 100, 219/4, 5/2, 
  133/4, -1, -1, -40, -1063/12, -1/12, 1, 4217/240, 429/328, 53/20, 
  -6091/240, -79/20, -3523/30, 1088119/19680, 3933/32, 56995/656, 1329/20, 
  -663/1640, 152101/1200, -32603/410, -9/4, -27, -9, 18, 28, 109/3, -56/3, 
  5/12, -28, -5/12, -3/4, -65/8, 6, 1213/6, -49/16, -57791/816, -65867/408, 
  47/4, 53/4, 19, -184703/1632, -1/4, 25369/204, 1237/6, 1056503/20400, 3/2, 
  -10333/96, -739/96, -8201/6800, 215/24, 189/4, 617733/3400, -9/2, -53/4, 
  -215579/1700, 1, -4465/272, -49493/272, 30321/1088, 58401/272, 13347/1088, 
  8759/68, -13/2, -94033/272, -75/4, 218717/1088, -189/20, -213087/1088, 
  -97421/408, 87/10, 36107/544, 26443/816, 167593/816, -26443/816, 
  -443507/1632, -55967/816, 15/4, 65147/816, 5/2, -106329/544, -3/4, 
  117957/544, 1495/272, 9/4, -3, -251041/600, 399/41, -153/40, 887429/2400, 
  407/40, -4171/40, 14689861/40800, -41169/64, 10002/205, 542087/1200, 
  -21351/820, -53269/96, -17632811/69700, -5281/820, 9/4, -13109/120, -684/5, 
  -205/6, 1893257/8160, 13219/544, -23/4, 13973/60, -60811/510, 3, -1/3, 
  15847/60, -434701/4080, -469/6, -1299/16, 179/8, 166709/1020, -90485/1632, 
  -21631/680, -130247/6528, -253/8, -2, 1690943/8160, 3, 166885/1632, 
  -26093/136, 176809/4080, -1303/160, 103693/2176, 36047/75, 2691/20, 
  -930769/2400, -149/20, 734/15, -384265/656, 9455449/16320, -102431/2460, 
  -39872/75, -987069/3280, 4509271/13600, 472421/656, 85041/656, -603/68, 
  7373/68, 143/12, -1484/17, -145675/612, 8098/153, 1835/68, -724/9, 
  118351/1224, -541/72, 60451/408, -24815/612, -473177/2448, -194981/1224, 
  -5885/48, -45/4, -8467/204, -15/2, 126881/816, 17291/408, 108473/1632, -4, 
  11/2, -4240/51, 25/4, -167689/816, 34699/816, -187477/1632, 44423/408, 
  14177/102, 7153/40, -783529/6560, -9/10, -182953/480, -11/20, -877/10, 
  -385807/2460, 10409/120, 107351/1230, -3013/24, 1818457/6560, 331511/800, 
  -374177/9840, -239131/1640, -4109/1088, 164487/3400, 15/2, -2149525/6528, 
  -21899/272, -31771/2176, -2285/32, -8, 31303/544, -17/2, 11987217/54400, 
  1049/30, 155243/9792, -4069807/24480, -2132729/32640, -985007/2400, 
  705629/6560, -83/10, 347739/800, -6/5, 147287/400, -824491/19680, 
  -1940507/2400, -615163/3280, 2240137/7200, -489157/19680, -8602379/14400, 
  -22037833/295200, -2552519/49200, -375/16, 270205/1632, 7013/20, 2161/32, 
  2300269/8160, 471/32, -4047/17, -430693/9840, 16127/480, 441911/2460, 
  -34147669/244800, -10445969/33456, -279197339/489600, -30261281/167280, 
  113865423/2230400, -3/2, 3/2, -3, 3/2, 2, -1, 1/4, -1/4, -1/4, -1/4, -1/4, 
  1/4, -3/2, -3/2, 3/2, -2, -1, -24, -24, -1, 23, 1, 24, -1, -1, -25, 1, 1, 
  -24, 1, 1/2, -1/2, -1/2, 1/2, -1/2, -1/2, 1, 1/2, 1/4, -1/4, -1/4, -1/2, 
  1/2, 3/4, 1/2, -1/2, -1/2, -1, 1, 1, 1/4, 1/2, -4, 25, 23, 1/2, 3/2, 1, 
  -1/2, -24, 1/2, -1/2, -5/2, -1/2, -1, 5/2, -2, -1, 1, 2, 1/2, 2, -25/2, 
  73/2, -1/2, 51/2, -27/2, 1, 13, -12, -11, -2, 1/2, -1/2, -2, 255/16, 
  475/16, -295/8, 1/4, -391/8, -1/2, 9/4, -1, 5/4, 179/8, 271/8, -11/8, 
  -19/8, 123/4, 19/4, -19/8, 1/4, -55/16, 255/16, 1/4, -295/8, -1/2, 9/4, -1, 
  187/8, -11/8, -1, -301/16, -1/4, 49/8, -5/4, 3/2, 151/4, 7/8, 7/8, 1/4, 
  219/16, -23/8, -1/4, 1, -1, -67/8, -57/8, 5/4, -1/2, 1/2, 63/8, -1/2, 1, 
  51/16, -1, 1/2, -1/2, -3/4, -271/16, -1/4, 285/16, 3/4, -7/8, -1/2, 3/4, 
  327/16, 21/8, -123/8, -109/8, -3/8, -2, -3/2, -3/8, 1, 1/4, 73/4, -1/2, 
  -18, -7/4, -1/4, -139/8, 3/4, 1, -1/4, -1, 295/16, 1/4, -107/8, -1/2, -3/4, 
  -2, -9/8, -3/8, 3/2, -1/4, 57/8, 3/4, -1, -1, -77/8, -1/2, -1/2, 1, 43/8, 
  -1, 1/4, -123/16, -7/4, -5/2, 579/16, 1/4, -441/8, -1/2, 3/4, -3/2, 329/8, 
  -5/8, 1/8, -813/16, -1/4, 221/16, -1/2, -1, -14, 16, 1/2, -1/2, 31/2, 1/4, 
  1/2, 1/8, -137/8, 1, -5/8, 5/8, 3/2, 387/16, 1/4, -157/8, -1/2, 3/4, -3/2, 
  37/8, -9/8, 3/2, 33/16, -3/8, 277/16, -3/2, -7/8, -3/8, 281/16, 1/4, 
  -113/4, -1/2, 21, 1/4, -329/16, -33/4, 37/4, -45/2, -9/8, 3/2, 33/4, 7/8, 
  -13/8, -1/4, -75/16, 1/2, 5/2, 1/4, 81/16, -7/8, -1, 1, -305/16, -1/4, 
  27/4, -1/4, 3/2, 6, 7/8, 9/8, 1/4, -277/16, -7/8, 1, -1, -193/8, -1/12, 
  -1/3, 2, 1, -1, -1, 2, -1, -13/2, -1/2, -3/2, 7/2, 3/2, -1/2, 1, 3, -7, -1, 
  4, -3/2, -3, 2, -1, -2, 1, 3, -1009/100, 5/12, 1/3, -27/50, -221/50, 
  -3196173/54400, -137949/2176, 133/8, -21/4, -641/50, 21, 145/4, 3, 3, -3, 
  1, -4, -5, 4, 10, -5, -1, 287/8, -1/4, -263/8, 2, -65/2, -1, 3/4, 2, -69/2, 
  -151/8, -2, -1/2, 1, -25/8, -3/2, -15/4, -275/8, -15/4, -557/8, -141/4, 
  1/8, 1/8, 1/4, -7/2, -3, -5/2, -39/4, -275/8, -35, 1/8, 11/2, 15/4, 283/8, 
  -143/4, -21/8, -3/2, 3/2, -3/2, -3/2, -3/2, -1/4, 1/4, 1/4, 3/2, -3/2, 
  -7/4, -3/2, -71/10, -241/16, -829/40, -469/16, 37/20, 3293/80, -1, 1, 
  51/10, 807/40, -5/2, 5/2, -68/5, -249/16, -889/40, -461/16, 67/20, 3013/80, 
  1/2, 2, 81/10, 527/40, -1/2, 13/2, -7, -3/4, -1/2, 1, 12, 79/4, 3/4, -69/8, 
  -51/4, -3/4, 3/4, -1, 6, 3/4, 11/8, 31/8, 25/2, -1/2, -65/4, -23/2, 3/2, 
  1/2, 3/4, 1, -3, 9/8, 1, -169/8, 149/4, 209/4, -21/4, 81/4, -21/2, 1/2, 
  1297/40, -329/20, -65/2, -3/2, 39/8, 1, -241/4, -1, -21/4, -43/4, -21/2, 
  169/8, 1303/40, 251/8, -803/20, -1263/40, -3/2, 3/2, 3/2, 3/2, 1/4, 77/4, 
  -127/4, 126, -3/2, 3/2, 1/4, -129/2, -5/2, 355/84, 5/2, 1355/336, -101/28, 
  10075115/104832, 2757487/23296, 453665/104832, -81698293/314496, 
  -747647/4914, 12868237/78624, 30522221/1257984, 311/336, -1624711/16128, 
  -8098891/104832, 273481/6912, -26499229/209664, 1647103/8064, 398561/1008, 
  31402223/52416, -9211001/26208, 1702255/16128, 533888275/2515968, 
  1688545/209664, -349/48, -141/16, 349/48, 141/16, -61/12, 349/48, 667/48, 
  61/12, -3/2, -37/2, -1597/48, 3, -289/12, -173/16, 3/2, 269/12, -103/12, 
  163/24, 295/24, 3, -127/24, 3/2, 3/2, 1/2, -24, -24, -1, -3/2, 49/2, -3/2, 
  3, 3/2, -37/2, -1597/48, 6, -289/12, -245/16, 269/12, -13/12, 277/24, 
  295/24, 11/4, -277/24, -421/24, -1597/48, -1837/48, 1, 269/12, 671/24, -1, 
  164/3, 211/48, -2785/48, -821/12, -19/2, -1/2, 1/2, 1/2, -1/2, 1/2, 1/2, 
  -1, -1/2, -1/4, 1/4, 1/4, 1/2, -1/2, -87/8, -1/2, 33/8, -151/16, 3/2, 25/4, 
  25/4, -15/4, 3093/272, -15/4, 4047/272, -2, 2, 24, 48, 1, 1/2, 1/2, -99/2, 
  -1/2, 1, -27, 5/2, 3/2, -19/4, 855/34, -15/2, 35/2, -617/34, -43/8, -23/4, 
  1/2, 2475/68, 13/2, -7975/272, 7367/272, 6631/136, 483/68, -1231/272, 
  -19/4, 855/34, -15/2, 35/2, -787/34, -43/8, -23/4, 1/2, 2135/68, 13/2, 
  -7839/272, 9407/272, 16287/272, 993/68, 721/68, -55/8, -49/8, 3/4, 55/8, 
  -1/16, -49/8, 55/8, -147/16, -3/2, 2, -1, -24, 1, 1, 25, -1, -1, 24, -1, 
  -23/2, 2641/60, -1319617/19680, -24619/480, 1354003/19680, -1/4, 55/3, 
  -55/3, -14, -27/2, 113/6, 14, -187631/3936, -39833/480, -7687/120, 
  -121003/6560, -1/2, 90485/1088, 1/2, -3, 281/8, 9/4, 1, 9/8, -3/2, 35/8, 
  9/2, 3, 335/8, 3, 557/8, 111/4, 5/8, 5/8, -3, 13/8, 109/8, -3, -2, 23/2, 
  335/8, 143/4, 5/8, -15/2, -155/4, 38, -57/8, -21/8, 5/2, 301/8, 49, -187/8, 
  -121/4, -11/8, -287/8, -379/8, -9/8, 17/8, -5/4, -9/8, -5/2, -147/4, 1, 
  -271/8, 8, -25/8, -3/2, 1/8, -3/8, -1/2, 3, -3, -3/2, 19/4, -21/4, -3/2, 
  5/2, 17, 491/20, 67/10, -1073/16, -2609/40, -277/16, -1231/20, 4, 6243/80, 
  -579/20, 659/20, 489/5, 567/40, -3589/20, -70, 9/8, -5/4, -169/8, 215/4, 
  197/4, -69/2, -3/4, 21, 1/2, 6397/40, -779/20, -251/2, -126, 23/8, -5/4, 
  -241/4, -1, -69/2, -45/4, 21, 697/8, 6691/40, 197/8, -2867/20, -3921/40, 
  9/8, 1, 1, -709/8, -125/4, 197/4, 11/8, -11/4, 345/4, -13, -2711/40, 
  -487/20, -229/20, 4351/40, 143/2, 5/2, 1, -6, -1, -9/8, -19/4, -127/2, -11, 
  19/2, -137/4, 285/8, 2177/40, 13/4, -3, 3, 3/2, -7/4, 27/4, -63/2, 331/5, 
  -718385/13104, 9/32, -389587/10752, 25/32, 9820823/78624, 3067465/39312, 
  64213/2808, 25341475/52416, -621245/8736, -61198441/419328, 2735/864, 
  164170091/628992, -10075115/104832, -17391337/104832, -550307/52416, 
  273481/6912, 40677523/1257984, 56158379/157248, 12259649/39312, 
  13551283/157248, -12892807/39312, 9289187/209664, -4953211/209664, 
  135957713/2515968, -13547539/157248, -89911763/1257984, 1662223/8064, 
  44294197/104832, 8143117/52416, 259957573/628992, 57057901/139776, 
  -198021793/1257984, -40096421/52416, -797689/1008, -7628249/7488, 
  9251951/13104, 9063517/104832, 2438633/17472, -720001721/2515968, 
  -20830799/104832, 3/4, 170753/3276, 1010309/34944, -9/16, -5564035/1257984, 
  -191309/34944, -37909525/419328, -5271575/52416, -118501/5616, 
  -50549879/419328, 840373/17472, 151484455/1257984, -2735/432, 
  87710291/1257984, -149911975/1257984, 1, -11332445/314496, 3470045/314496, 
  2998241/157248, -13211/2808, -454762883/1257984, 173351/5824, 
  10939325/314496, 24, -63253381/419328, -1662223/8064, -1113869/4032, 
  -3770197/52416, -103243705/209664, -197601629/628992, 198021793/1257984, 
  12209107/26208, 9287519/39312, 51927965/157248, -7578943/39312, 
  -3149441/13104, -176384531/1257984, 50784725/2515968, 175795987/628992, 
  89282771/1257984, -3, 589/48, 317/16, -589/48, -269/16, 37/12, -589/48, 
  -811/48, -1/12, 2, -2, -2, 6, -805/48, -325/16, 805/48, 229/16, -73/12, 
  805/48, 691/48, 1/12, 11/4, -11/4, -11/4, -47/2, 47/2, -3, 349/48, -267/16, 
  31/12, -1921/24, -717/16, 2393/48, 739/8, 215/16, -9/2, 541/48, 189/16, 
  -541/48, -117/16, 49/12, -541/48, -331/48, 5/12, -3/4, 3/4, 3/4, 47/2, 
  -47/2, 13/2, -421/48, 219/16, -85/12, 93/2, -1/4, -255/4, -649/12, 3/4, 
  -1/2, 1/2, 1/2, 1, -1, -1, -49/8, -67/8, -1/2, 55/8, 47/16, -297/8, -5/2, 
  297/8, 5/2, -5/2, 5/2, -866/17, 559/34, 1043/136, 15/2, 7/34, 15/2, 
  -329/272, 1043/136, 15/2, 7/34, 15/2, -329/272, 25, 71/8, -149/8, -71/8, 
  -51/8, -183/4, 5/2, 237/8, 5/2, -29/272, 6251/272, -4307/272, 1, 111/8, 
  27/8, -111/8, -35/8, -163/4, 5/2, 197/8, 5/2, -3857/136, 1121/68, 
  -4307/272, -55/8, -49/4, 3/4, 55/4, -37/4, 118/3, -239/6, -118/3, 27, 
  -191/2, 70, -3181/60, -1/4, -197/12, -37/5, 278/3, -269/3, -121/3, -239/6, 
  159/2, 121/3, -2533/40, -225/164, 323/120, 94561/3280, 1861/820, -121/3, 
  245/6, 481/12, -27/2, 14, 2923/60, 1/4, -167/4, 107/120, -1/8, 1501/200, 
  -1/4, -29/24, 101773/2176, 207717/4352, 53/16, -2/3, 2131/200, -85/16, 
  -1/24, -1/8, -1/12, 11/24, -29/16, -23/24, 6, 5/4, -104, -861/8, -35/8, 3, 
  -7/2, -3/2, 1131/8, -1/2, 7/2, -6, 5/2, 1, 1, 3/2, 5/2, -25/4, -59/16, 
  1395/8, -1/4, 415/4, 1/2, 1/2, -5/4, -237/8, -379/8, 15/8, 1/2, -177/8, 
  133/40, 307/16, -10163/80, -395/16, 1/2, 937/40, -3473/80, 9, -1/8, 
  -213/40, -3/80, 281/8, -3/2, 12804773/314496, -5/4, 5/2, 4635767/13104, -1, 
  -1/2, 671/16, 4061/48, -2239/48, 1/4, -5381/48, 3/4, -1/2, 7/4, -273/8, 
  303/8, -17/8, -9/8, 1/2, -943/16, 55/12, 5849/48, -125/24, 803/12, -667/48, 
  -3/2, -241/48, 3/4, -43/16, 73/48, 2, -31/8, -10, 93/16, 275/16, 13/16, 
  13/2, -15/4, -71/16, 49/8, 15/4, -639/68, 995/136, 9815/272, 3107/136, 
  11/2, -45/4, -1625/68, -87/8, 1753/136, -2, -59/17, -19067/816, -1/2, -1/4, 
  127/16, -25/12, 1/4, -73/48, 11/8, 5/3, -973/120, 1/4, 643/120, 461/20, 
  -8863/9840, -16129/480, -26069/1230, 1333/120, -1/4, -27/16, 4181/1230, 
  3/4, -89941/1088, 1/2, 1, -101229/2176, -123/25, 288183/2176, -19/24, 
  100821/2176, 1/6, -129/200, -1/4, -74165/2176, 74709/2176, 1/4, -3/4, -3/4, 
  -74709/2176, 3/4, 1/4, 109661/2176, -147/16, -1/2, -110613/2176, 1/4, 1/4, 
  -3/4, 3/4, 1/4, -89669/1088, 1/4, -6, 3, 669/8, 377/4, 4, -115, 3/2, -1/2, 
  -2, -1/8, -127/16, 3/8, -1/4, -95/8, 3/2, -2, 19/4, -649/8, -39, -5, 1, 
  -1/2, -1051/16, 1/4, 179/16, -7/2, -1/8, 119/2, -1/2, 1/8, -17/8, -1/8, 
  11/2, -219/16, -405/16, 379/8, -1/4, 193/4, -1, -29/4, -19/4, -339/8, 
  -189/4, 19/8, 23/8, -7, -345/8, 49/4, 203/8, 7/16, 15/8, 301/8, 1/2, 41/8, 
  -31/8, 1/4, 121/8, -1/8, -219/16, -1/4, 399/8, -1/2, -29/4, -327/8, 19/8, 
  2, 301/16, 1/4, 18, 31/4, 289/8, -141/2, 17/4, -9/8, 1/4, -179/16, 11/4, 
  1/4, 9/4, -45/8, -95/16, 541/4, -9/4, 493/4, 1/2, -35/8, -315/16, -199/8, 
  -743/8, 1, 45/4, -1, 107/4, -451/40, 133/40, -125/16, -7859/80, -459/16, 
  -509/8, 156/5, -1791/40, -781/40, 17/5, -313/40, -1097/80, -533/10, -35/2, 
  83/8, 15/8, -1259/16, -9/8, -7/4, 327/8, 1/2, -3, -175/8, -165/8, 937/8, 
  -21/2, -13/2, 1, 49/8, -1, 53/8, -267/8, 703/8, -1/8, 6, -499/40, 52/5, 
  -8081/80, 937/20, 3, 1/4, 137/2, -11/4, 195/16, 1189/16, -33, 7/4, -697/8, 
  -1/2, 7/2, 317/8, 455/8, 589/8, -19/8, -165/4, -63/8, -57/10, 63/10, 
  -379/16, -69/8, 7, 383/40, 149/10, 829/16, -161/5, -2411/40, -73/2, 161/20, 
  10167/40, 16, 195/16, 1/4, -71/2, 1/2, 7/2, 463/8, -1, -19/8, -303/8, 
  -463/16, 63/10, -1/4, -35, 1, 41/8, 77/5, 1447/16, -1293/40, -333/4, 
  -214/5, 1295/16, 9091/40, 111/2, 1662223/24192, -15174281/314496, 
  4557305/26208, 389610967/1886976, 321893353/3773952, -198021793/3773952, 
  -1026769/2912, -29852365/39312, -14190067/13104, -117604339/157248, 
  39451621/26208, 109952909/39312, -1988713/4992, -21057487/9828, 
  860346391/628992, 194972005/22464, -141689053/22464, -2674056053/10063872, 
  -2512473965/628992, 750512519/6709248, -12215093/628992, -4883371/157248, 
  -4660883/48384, -19/32, -2423747/419328, 12215093/628992, 
  -115057967/1257984, 10778801/314496, 78990679/314496, -17/16, 
  -94929845/628992, -4583279/32256, -4655423/13104, 25/16, 63902939/209664, 
  4671803/13104, -1662223/24192, 12927205/157248, 1130261/26208, 
  -2304451/26208, -48820501/209664, 286698175/628992, 175730741/1257984, 
  -422383925/3773952, -67864585/419328, 198021793/3773952, 89282153/314496, 
  62268043/104832, 14128369/26208, -3459661/39312, -165365897/419328, 
  1847591/89856, -15605623/12096, -61427239/39312, 17132665/23296, 
  21023089/19656, -103833245/69888, -47154989/59904, -231377/5616, 
  -707367317/628992, -2515128799/628992, 823263901/314496, 389631167/419328, 
  2764141031/6709248, -61172237/59904, -63408929/209664, -233701/1728, 
  -10893/224, -2245483/26208, 273481/10368, -27926789/46592, 
  -57602371/419328, 273481/10368, 891743/6552, 1601743/24192, 
  54816257/314496, 13951465/26208, 270294701/314496, 323871257/1257984, 
  21041743/179712, -33246947/157248, -61800703/39312, -265817837/628992, 
  21023089/19656, 1719967/12096, 80429329/104832, 166103/3744, 
  33329405/179712, -61363177/1257984, -13/2, 90793657/89856, 
  -3019841831/628992, -104893505/628992, 91384697/24192, -274491101/314496, 
  -2944310987/20127744, -1/4, 1039562971/209664, 1270186649/6709248, 2515/48, 
  -1117/48, 1/4, -3397/24, 1117/48, -1/4, 4279/48, 1/4, -2663/48, 1, 65/12, 
  593/12, -419/12, 5/8, 6, -331/24, -7/8, -113/6, 2429/24, -463/48, -5725/48, 
  -41/24, 475/12, -1551/16, 149/6, -79/4, 31/24, 65/8, -7/24, -2, -447/16, 
  -13/4, 1005/16, 29/4, -279/8, -2, 21/4, 471/16, 637/24, -1591/48, -617/48, 
  -21/8, -3/2, -95/4, -5/8, 1355/24, 1/4, -34, -1/2, -311/24, -897/8, -1/4, 
  209/8, 170/3, 1, -1/4, -1, 1247/48, -69/2, 1/4, -3235/48, 69/2, -3/4, 
  497/12, 1/2, -3/4, -1319/48, -5/2, 119/12, -265/12, -455/12, 3/8, 17/2, 
  -109/24, 3/8, -257/12, 859/48, -239/48, -157/3, -119/12, 283/6, -111/16, 
  899/48, -103/4, -71/48, 177/16, 71/48, -69/2, 69/2, -1271/48, -5/2, -1/4, 
  -163/12, 1/2, 3/4, 17/2, -89/12, 3/8, -389/16, -1/4, 169/4, -1/2, 139/6, 
  -95/16, -4195/48, -195/8, -195/8, 1/2, -171/8, 1355/48, 1/4, 15/2, 
  -1941/136, 2587/136, 15/2, -73/16, -2587/136, 9/8, -439/136, 13/16, 
  10409/272, -7/4, -9531/272, -3/16, -59/4, 3/4, -9837/272, -2, 12183/272, 
  15/8, -25/8, -3403/272, -1/4, -309/34, 1/2, 2373/272, 9837/272, -8361/136, 
  -3/4, -639/16, -6019/272, 18187/544, 4871/136, 5205/544, 221/4, -3, 
  -7665/136, -15/8, 3251/544, -1/2, -28453/544, -11485/816, -85/16, 
  -6359/272, -77/32, 5551/136, 153/32, 54, -3, -6985/136, -15/8, 17159/544, 
  -1/2, -18675/544, -11485/816, 16/3, -61/12, 5/6, -2, -421/15, -647/40, 11, 
  -1/4, -2611/48, -13/12, 5/4, 1013/16, -1/8, -901/60, -61/328, 4933/240, 
  -61127/19680, 2271/1640, 55/6, -217/6, -55/12, 55/6, 1421/12, -113/12, -84, 
  -1897/24, -3/10, 7321/60, 2/5, 6251/120, 1342319/39360, -1203/64, 
  -182299/3280, 14797/240, -1953/656, 107243/1200, 872623/39360, 5433/3280, 
  55/6, -113/12, 3067/120, 1/2, -1159/40, -1173/80, -1/2, 66957/2176, 
  221/100, -76205/2176, -1/4, 1/2, 1/16, 143525/4352, 53/16, -1/2, 16, 
  2077/200, -565/16, 11/24, -115/8, -1/6, -9/16, 3, -279/8, 373/8, -1, -3, 
  -409/8, -1/2, -1, 289/4, -1/4, -1/2, 551/8, 1/2, 5/4, 213/16, 1/4, 639/16, 
  5/4, -441/8, -1/2, 5/4, -1, 267/4, -3/2, 329/8, -11/8, -5/8, -433/16, 
  131/20, -1/4, -1461/16, -1/4, 1, -115/16, -1/4, 2891/80, -203/16, -67/2, 
  171/4, 9/8, -1/2, 87/4, 1/8, -73/4, -1747/40, 319/4, -1/4, 1061/20, 247/40, 
  -5111/80, 331/10, 449/8, -321/8, -4598623/314496, 1544287/48384, 
  -108737/4032, -7/8, -81571943/279552, 451509055/2515968, 746353/26208, 
  273481/20736, -25408601/539136, 18763175/3773952, 201795745/7547904, -5/8, 
  34583555/314496, 2228887/6552, 13/8, 1096786757/3773952, 191580619/838656, 
  5067499/628992, 165172313/2515968, -131277655/1078272, -16680929/290304, 
  5/4, -2184815/6048, 7/2, -699366541/1257984, -4431019/8736, 
  413596819/7547904, -25/12, 55971497/78624, 2, 563/16, 13/4, -1405/16, 
  -29/4, 421/8, 2, -5/4, -1, 111/8, -5/2, -381/8, 1/2, -11/8, 1, 31/8, 7/2, 
  5/4, -1403/24, -1/4, 1/4, 371/8, 1/4, -1/2, 679/48, 1/4, 2777/48, -19/6, 
  139/3, -1139/24, -9/8, 3/2, 15/4, 7/8, -9/8, 1/8, -323/16, 1/4, 2, 1/8, 
  335/16, -15/8, -3/8, 3/8, 41/16, 793/272, -395/32, 2201/272, 265/32, 
  -1157/136, 83/8, -5, 3649/272, -715/68, -5, 5345/544, -5/8, -2857/136, 
  -9467/408, 715/68, 5/8, -16/3, 61/12, -5/6, -2177/120, 1/2, 3853/80, 3/2, 
  377/30, 76367/13120, -5089/320, -136871/9840, 1217/60, -445/328, -191/240, 
  -64687/13120, 1489/1640, 53/12, 53/12, 1/3, -1/6, 2/3, -37/30, 225/16, 
  709/40, 1583/48, 23/20, -9799/240, 1/2, -1/2, 9/10, -2981/120, -1/4, -1, 
  -17/3, 61/3, 145/4, -27/16, 56041/1088, 663/50, -546181/54400, 134177/3264, 
  137/24, 2, 43/2, 4477/100, -13096247/163200, -246905/3264, -13087/300, 
  -5/4, 151/10, -3/2, 1609/40, 261/8, -21/4, -1/4, -7/4, -217/20, 63/8, 1/4, 
  -11/2, 9860117/314496, 85339399/29952, -1276027339/1257984, 
  22907183027/15095808, 1627/336, -2488385873/314496, -3451135609/628992, 
  -53/12, 16707305/157248, 15783865229/10063872, -76237314301/60383232, 
  -4621619/24192, -58848737/104832, -11/4, -1819/24, -15/4, -1151/12, -143/4, 
  9/8, 13/8, 1/2, 109/24, -5/2, -4, -1/2, -3, 121/8, 1643/68, 13083/272, 
  -1/8, -61/8, 3939/34, -1439/34, 39/8, -483/272, -913/60, 1982617/19680, 
  1929/32, 4174/205, -1/6, 1153/60, -412441/2460, 1659/160, -7323/410, 
  1326751/19680, -1/2, -1, -9, -433/48, -1223/48, -13/2, 39/8, 1355/34, 
  23169/544, -931/8, -1099/16, -37/4, -1/2, -215/4, 1/2, -8385/544, 
  -35273/680, 13949/2720, 55439/2040, -47899/2720, -629/30, 154091/4920, -27, 
  167767/3280, -5/2, 2291577886159/384943104, -2245833965861/1539772416, 
  -2634551789455/192471552, -334783193665/1026514944, -881988938813/90574848, 
  -19/4, 10651/408, -15/4, 23/2, -8795/272, 159/16, -25/4, 11/4, 26699/408, 
  37/4, 5183/272, 7829/408, -10211/816, -7245/136, -3747/272, 421/24, 
  1597/48, 1285/48, -1, -269/12, -671/24, 1, -109/10, -468709/6560, 1077/160, 
  821/12, 1536043/19680, 83/2, -83/2, -83/2, 83/6, 2777/200, -2777/200, 
  -2777/200, 19/8, -5/12, -4933/200, 4933/200, 14599/600, -47015/544, 49/3, 
  -83/6, 49/3, -1/3, -20/3, -1/3, -53/6, 1009/100, 1331/24, 4/3, 1, -2/3, 
  27/50, 1/3, 40, -113521281/108800, 221/50, 119913627/108800, 50909/2176, 
  120745601/65280, 4223/8, 1255/4, 129279231/54400, 641/50, -97672831/54400, 
  -111452351/32640, -145/4, -3, -115778881/54400, 115778881/54400, 3, -1/2, 
  363139843/108800, 2011/2, 547, 125892831/27200, -98801631/27200, 
  -331397693/54400, -37/30, 225/16, 709/40, 1583/48, 23/20, -9799/240, -1, 
  13, 9/10, -2981/120, -23/3, 41/6, -22, -283/60, -1/2, -1141/75, 27, 
  3863/60, 283/60, -977/40, -831/20, 13/60, -69/50, 9/20, -221/50, 
  -3196173/54400, -137949/2176, 133/8, -21/4, -641/50, 21, 145/4, 
  -478377521/652800, -5679/200, 118776917/163200, 551728513/652800, 
  -27697439/54400, -191247101/21760, 375905119/217600, 361842883/108800, 
  573768503/65280, -304225979/108800, 2261/200, 123660919/108800, 
  913058737/326400, 2/3, -46352877/54400, 467/20, 130569731/163200, 
  -2777/200, 42512389/40800, -467/20, 82517/425, -414119/2176, -853/30, 
  4933/200, 281/10, 3917113/13600, -195601663/217600, 4290131/27200, 
  195601663/217600, -12124357/27200, -502329969/108800, 195601663/217600, 
  422495637/108800, 94198613/21760, -123919319/108800, 123660919/108800, 
  371893957/326400, 1/3, 104629/2176, -104629/2176, -3910313/13600, 
  195601663/217600, -26157239/54400, 94198613/21760, -63693/2176, -2777/200, 
  -191/16, 127246769/108800, 4933/200, 5/4, -5/4, 5/4, -5/4, 10783/102, 
  -27805/204, -39965/816, 413669/3264, -84603/1088, 5080/51, -41489/544, 
  102013/1632, -79877/2176, -793229/6528, 79877/2176, 385177/6528, 
  -100993/1632, 5/8, 77669/3264, 5/8, 27719/544, -20663/2176, -56875/1088, 2, 
  -81237/2176, -9/4, 81237/2176, 1/4, -102013/1632, 5/8, 79709/3264, 5/8, 
  104747/2176, -163/16, -56875/1088, 3, 19177813/446080, 119203/6528, 
  1085/984, 859/328, -1153829/32640, -200387/3936, -2781/1640, 1508507/32640, 
  -172/15, -2274731/32640, 5, -96/5, -16, -2043/40, -51/2, 3, -111/8, 6, 
  116/5, -159/8, -9, -1, -544766057/314496, -475221119/314496, 
  70067219/1257984, 148483792613/6580224, 267583630415/48881664, 
  -29460816090817/1026514944, 85715027/26208, 3351164351/314496, 
  -3984951424471/513257472, -617687/624, -6286145/1792, -6219364933/10063872, 
  1807540479275/146644992, 943692959/314496, 568171/314496, -1/2, 254/3, 2, 
  1945/24, 117/4, 3/4, -11/8, -3/2, 5/6, 85/8, -3/2, 6, -83/4, 2409/34, 
  -107/34, 14, 83/4, -3313/17, -143/34, -14, 125/17, 1123/30, -277261/1968, 
  -21983/240, -49063/1230, -6, -1123/30, 43322/205, -1885/48, 52753/1230, 
  -693151/9840, -5/4, 233/10, 209/16, 76907/340, 15995/544, -28/5, -3353/80, 
  1, -7/4, -253/10, -363047/2720, 7/4, -3/2, 5, -93/4, -67/10, 17059/272, 
  16188/85, -31689/544, -3/2, -15/2, -260603/816, 70, -105/4, -489/5, 
  -420711/2720, 669/4, 70, -39/8, -301/8, 139/8, -25391/68, -73353/544, 
  1487/40, 137347/340, -105/2, -1/2, -4581/20, 152951/544, 515/2, 341, 
  -115/8, -301/8, -521/8, 1, 3/2, 1487/40, -2757/68, -105/2, -1165/8, 
  -9359/40, 1083/17, 2285/8, 1041/10, 26277581/6912, 369149089/139776, 
  4838700389/628992, -1502291755/2515968, 524629117549/57028608, 
  -28747894457/15095808, -392762621/34944, -827458705/104832, 
  -1414922177971/85542912, 70111865/8736, -268409473/104832, 
  -18787783897/1257984, -33385724780143/1026514944, 11591279797/1257984, 
  41845842533/6709248, -2217984173/628992, -308727831/93184, 2951/144, 
  -10202525/72576, 189692729/93184, 7588389113/5031936, 2627456821/209664, 
  -1020440359/1257984, -6362217821/838656, -2667605095/314496, 
  26245160351/10063872, -5605/864, -27170571/106496, -16604153759/10063872, 
  -33, -1726309313/628992, -1519602841/314496, -1197222449/359424, 
  9760759669/3773952, -1650637767475/342171648, 3676702753/15095808, 
  1403618761/209664, 19611206/2457, 1932282948335/171085824, 
  -632862869/157248, 4801382627/1257984, 112464438911/20127744, 
  2384484532133/114057216, -1607645707/419328, -3034357/5616, 367/28, 
  664110457/209664, -2732807549/838656, -1330635577/628992, 
  -782086652713/114057216, 17366437/24192, 6000415/2304, 311509301/39312, 
  52999624297/4386816, -220704815/52416, -106773845/26208, 
  154865333111/20127744, 2199673288991/171085824, -4361890711/1257984, 
  -102236280943/20127744, -9/2, 15/16, 46/3, -107/4, 235/12, 625/16, 31/8, 
  55/24, 1931/48, 5/8, -691/48, -2/3, 59/8, 691/48, 13/2, 3787/48, -1/4, 
  1745/24, -437/6, -3733/48, -39/8, -1891/24, -3899/48, -13/8, 155/48, 3/4, 
  9/8, -155/48, -5/2, -187/8, 1225/48, -145/4, 1493/24, 721/16, 11/8, 461/24, 
  749/24, 9/8, -50/3, -67/6, 13/8, 53/3, 1, 209/12, 1105/48, 2155/48, -3/2, 
  -1, 401/24, -77/6, 13/8, -947/12, -583/48, 2237/24, 2479/24, 317/16, 3, 
  5089/51, -5191/51, -22829/102, 14489/51, -9298/51, -27/2, -13319/204, 
  -21107/204, 463/102, 17537/204, 17/8, 1/2, 51757/408, -1/2, 6859/102, -1/4, 
  -52919/816, -35831/408, -5/4, 61/4, -3115/136, 15, -47269/408, 55/136, 
  31459/408, 65/4, -8, 12067/408, -21, 122039/816, -13867/816, -147947/816, 
  -2484/17, 3989/272, 73/4, -3115/136, 15, -377/8, 1755/136, 51/8, 65/4, -8, 
  17167/408, -21, 361/16, -26107/816, -2617/204, -2739/17, -328/3, 
  -12383/120, -1, -455/6, -6, 8431/30, 1, -1651/30, -21341/120, 4691/120, 
  511/328, -7623/40, -1, -1243/30, 106141/1230, -1751/80, 235817/4920, 
  -4331/120, -4847/820, 25139/120, -18053/984, 7959/1640, -2837/60, 
  134833/6560, 9/10, 57553/480, -29/20, -10/3, 15079/820, -1279/24, -4/3, 
  -1291/20, 216827/4920, 165217/2400, 11141/246, -1716299/19680, -455/6, 1, 
  43/12, -1/3, 2313/40, -1, 7823/60, 2161/120, -59/48, -117/16, -239/60, 
  -157/80, 445/16, 3973/144, -59/90, -879/40, -1/9, -1653/80, 443/60, 
  -331/20, 483/80, -199/8, -2969/272, 1451/136, 124655/1088, -5713/136, 
  -1035/16, 7785/272, -5/2, -2110/17, 5/2, 171057/5440, -52101/340, 
  -329437/5440, -18863/4080, 345461/5440, -275071/1800, 2559/328, 2/5, 
  240931/1800, 590207/6560, 27331/240, 311921/6560, 183271/1800, -3799/656, 
  107263/1200, 451673/6560, -44643/3280, 701/16, -4859/72, -8177/72, 
  -10205/144, -12809/144, -117/16, -5593/48, 4753/144, 9977/144, 1997/24, 
  38989/240, 4093/30, -29/8, -40249/240, 179/8, 439/48, 283/48, 5/4, 
  -6445/72, -5743/72, -15/2, -1219/48, -6, 791/9, 23/4, -10649/240, -251/10, 
  -45/4, 20729/240, 143/2, 379/16, -3293/144, -9425/144, 1009/144, 
  -11873/144, -1017/16, -569/8, 1643/144, 473/144, 927/16, 6091/40, 2397/20, 
  1363/40, -7601/40, 1179/8, -1139/48, -9065/144, 1/2, -709/18, 1, -363/16, 
  1643/144, 14267/144, 879/16, 2569/48, 119749/720, -6907/144, -32209/144, 
  -10141/240, -1418/17, -5/2, 15611/136, 5/2, -5/2, 5/2, 3311/34, -3549/68, 
  2, 182319/680, 37305/544, 10669/136, 16925/544, -7813/136, -1035/16, 
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