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  -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 2, 
  0, 1, -1, 1/2, -1, 1/2, 1, 1/2, 1/2, 0, -1, 1/2, 1, 1, -1, -1, -1, 2, 2, 
  -1, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 
  0, 0, 1, 1, 1/2, 1, 1, 1, 1, 0, 0, -2, 0, 1, 2, 2, -1/2, -1, 0, -2, 1, 1, 
  1/2, 1, -1, 1, 0, 0, -1, -1, 1, 3, -3/2, -1, 2, -1/2, 1, 0, 0, 0, 0, 0, 0, 
  0, 0, 1, -5, 0, 4, 0, 0, 0, 1, -4, 0, 1/2, -1/2, -1/2, 1/2, 1/4, 0, 3/4, 
  1/4, 0, -1/2, 0, 1/2, 1/2, 0, -1/2, -2, 3/2, 3/4, 0, 9/4, -1, 1/4, 0, 1/2, 
  1/2, -1, 0, -2, 0, 3/2, 1/4, -3/4, -1/4, 13/4, -1, 0, -3/2, 3/2, -1/2, -1, 
  -1/4, 1/2, -9/4, 1/4, 1, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1, 7/2, 3, -7, 0, 
  3, 1, 0, -4, 0, 1/2, -1/2, -1/2, 1/2, 1, 1, -2, -2, -1, 1/2, 0, -1, 1, 0, 
  0, 0, 1/2, 1/2, -5/2, -1, 2, -1, 1, -1/2, 0, -1, 0, 0, 1/2, 0, -2, 0, 3/2, 
  -3/4, 1/2, 1/4, -3/4, 1/2, -1, -1, -1/4, 1/2, -1, 1, -2, 1, -3, 1, 2, 1, 1, 
  -1, -1, -1, -1, -1, 2, -1, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 
  -4, 2, 0, 3, 1, 3, -3, 0, -3, 3, -3, 4, 3, 3, 0, -2, -8, -4, -2, 1/2, 4, 
  -1/2, 1/3, -6, 7/6, 1, 0, 2, -12, 8/3, 1, -2, -17/6, -1, 1/6, 7/3, 2, 1/6, 
  1, 8/3, 0, 1, -7/3, -1/3, 3, -6, -6, -17/3, 0, 0, 1, 1, -1, -1, 6, 0, 
  -17/3, -3/4, 42, -16/3, 2, -2, 1, 2, 8/3, -4, -1, 4, -15/4, 21/4, 7/4, 
  -21/4, 2, 15/2, -21/4, -7/4, -15/4, 4, -4, 4, -2, -7/4, -1/12, 1, 7/4, 1, 
  -2, 8/3, 1, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 
  0, -4, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, -1, 0, 1, -1, 1, 1, -6, 8, -3, 
  -4, -19/4, 161/12, 3/2, 11, 3, 23/2, 2, -5/2, -2, -41/6, 4, -1/3, -1, 7/3, 
  0, 5/3, -5/3, -5/3, 1, 0, 0, 0, 1, 5/3, -5/3, -5/3, 1/2, -2, -3/2, -1/2, 
  -1, -3/2, 3/2, 3/2, -3, 1/2, 0, 3/4, -13/4, 3, 2, 2, -1, 3, 0, 25/4, -9/2, 
  -5/2, -5/4, -1/4, -15/4, 2, 7, 3/4, -2, -7/4, 7/4, -6, 3/4, 31/4, 5/4, 
  -11/4, 2, 7/4, 0, 1/4, 2, -3, -25/3, -1/4, -9/4, 0, -2, 14/3, 3, 1/2, -1, 
  23/6, 9/4, 9/4, 1/2, -14/3, 3/2, -1/2, -2, 6, 4, 10, -3, -7/3, 15, 35/3, 
  -12, -69/4, -3, 3, -1/6, -3, -33/2, -43/3, 61/4, 0, 6, 17/3, -3, 3, 15/2, 
  6, 49, 199/6, 10, -16/3, -4, -319/6, -5/2, -31/6, -11, -10, 6, 5, 0, -15/2, 
  11/4, 1, -5/2, 7, -11/4, 3, -5/2, 3/2, -143/6, 6, -10, 5/6, 2, 7/6, -6, 
  -41/3, 3, 1, 0, 0, 0, -15/2, 1, -1, 5/2, -5/2, 0, 8, -1, 1, 3, -1/2, -1, 
  -3/2, 3/2, 20, -7/6, -17, -1/2, -9, -37/3, 7/2, 3/2, 8/3, 55, -22/3, -25/6, 
  -1/2, 0, 1/2, 1, -4, 2, -3, 2, -1, -9, 4, 127/24, 9, -4, -127/24, 1, 4, 
  -27/8, 21/8, 27/4, -11/6, -89/8, 0, 23/8, -67/4, -3, 2, -3, 2, -1, 2, -1, 
  3/8, -14, 3, 59/8, 0, 3/2, 1/2, 5/2, 21/4, 99/8, 4, 3, 61/16, 23/8, 701/48, 
  -257/24, -4, -45/8, 47/12, -725/48, 33/16, -3/2, 3, 5, 11/4, -3, 0, 7/4, 3, 
  -1, -41/6, -3, 2, 61/12, -1, 3/2, 13/8, -21/8, -1, -7/6, -15/4, 0, -27/8, 
  -3/2, -3/2, -211/16, 25/3, -69/8, 605/48, -305/24, 2, 231/8, -5/4, -581/48, 
  -247/16, -1/2, 1, -2, 5/4, 1, 1/16, 3/8, -55/48, -3/8, 13/12, 0, -3/4, 
  -21/8, 17/16, 29/24, -25/12, -1, -27/8, 1/2, -3/2, -73/8, 331/48, -69/8, 
  47/8, -389/48, 8, 419/16, -27/8, -6, -277/16, -67/24, 27/4, -8, 37/24, 0, 
  0, -2, 0, 2, -1, 1, 0, 0, 0, 0, -1, -2, -2, 2, -5, -2, 0, 2, 4, 0, 2, 5/2, 
  -7/2, -3/2, 4, -6, 0, -7, 2, 1, -4, -1, 9, 0, 6, -2, 2, -11/2, -1, 0, 0, 0, 
  0, 0, 1, 0, -1, 1/2, 0, -3/2, -1/2, 7, 3, 0, -9, -2, 1, -11/2, 0, 2, 0, 2, 
  -1, 3, -1/2, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1/2, 0, 3, 0, 6, -2, -7, -11/2, 
  0, 3/2, 0, -6, -1, 10, -1/2, -1, 0, 0, 0, 0, 2, -3, 3/2, 1, 0, -5/2, 2, -1, 
  -2, -3/2, 7/2, -1, 0, 0, 0, 0, 0, 14/9, 2, 0, 4/9, 0, 0, -2, -4/9, 0, 7, 
  -6, 0, 0, 2, 0, -2, 0, -2, 3, 1/2, -2, 0, 31/8, -1/2, -1/2, -35/8, -3/2, 
  -19/4, 1, 21/2, 0, -1/4, -3/4, 7/8, 0, 1, -9/4, -1/2, 3/4, 11/3, 1/12, -2, 
  1, 1, -1/2, -21/8, 29/12, 2, 73/12, -3/2, 1, 1/2, -1/6, 17/4, 2, -3/4, -1, 
  4, -35/12, 1, -1, -1/2, -5/4, -1/4, 0, -1/2, 0, -1/2, -1, 0, 6, 1/4, -19/2, 
  -2, 9/2, 1, -2, -1, -2, 1, 4, 11/4, -4, 1, 3/2, -9/4, -1/2, 3/2, 1/2, 1/4, 
  9/4, 9/2, -19/12, -2, -1, -2, -3/2, 1/2, -7/4, 0, -11/2, -22/3, 59/4, 0, 
  19/12, -1, 3/4, -5/3, 25, 5/2, 1, -5/3, -7/4, -129/4, -49/12, -7/12, -1/2, 
  55/12, 1/4, 0, -1/4, -1/4, -1/2, -5/4, -1/2, 2, 1/4, -7/4, -1, 12, 3/4, 
  -12, -1, 1, -1/2, 1, 2, -3, -3/2, 2, 0, 2, 0, -1/2, 39/16, -21/8, 2, 
  -257/48, -1/2, 2, 3/4, -43/8, 87/16, 3/4, 1/2, -2, 0, -1, 4, -23/4, -2, -1, 
  3/2, -3/2, 7/2, 39/4, -7/3, -19/4, 0, -1, -35/4, 1, 3/2, 7/6, -5/2, -1, -1, 
  -9/4, 3/2, 17/4, 1/4, -1, 1/2, -1, 0, 0, 1, 0, -1, 1/2, 0, -1/2, -1, -1/2, 
  2, 0, 0, -1/2, 2, 0, -3, -3/2, -2, -1/2, -9/4, -1/2, 7/4, 5/4, -1, -1/2, 
  3/2, 1, 1, 5/4, -3/4, -1, -1/2, 0, 0, 0, 2/3, 0, -2/3, 0, 2/3, 0, -1, -1/2, 
  5, 7/6, -4, 3/2, -1/2, -1/2, 1/2, 2/3, -1/3, -77/16, -23/8, -1/2, -13/2, 6, 
  0, 125, 0, -125, 9, 0, -134, -9, 0, 0, 0, 6, -69/2, -261/8, 69/2, 213/8, 
  60, 69/2, -315/8, -66, 4, -4, -4, -61/8, -6, 2, 6, -6, -4, 9, 0, -116, 
  -178, -48, -9, -10, 124, 8, -9, -15, 171, 8, 15, 517/16, -1793/48, 121/24, 
  -547/16, 21/8, 263/16, 15/8, 959/24, 69/2, -1169/48, -757/8, -4, 0, 0, 0, 
  0, 0, 0, 0, 0, -61/12, -61/24, 61/12, 61/8, 61/24, 61/12, -61/24, -61/8, 
  69/4, -15/8, 75/4, 155/12, -77/8, -89/8, -93/4, 3, -605/48, 113/8, -3/2, 9, 
  -9, -3, 2, -9, -5, -1, 4, 1, 3, 24, 10, -4, -26, -41, -499/16, 34003/600, 
  131/8, 3573/40, 3/8, 2351/48, -6193/240, -3053/48, -3/2, -69/8, 11/4, 
  -93/8, -903/16, -3877/48, 41/16, 89/16, 109/8, -9/4, 3955/48, -81/16, 27/4, 
  -63/4, 833/16, 83/20, 541/8, -19021/600, -27719/1200, 59/16, -1631/40, 
  -467/40, 39/16, -2333/48, -109/15, 6551/120, 1081/24, 13/4, -81/8, 295/6, 
  481/40, 389/24, -51727/1200, 13/8, -1429/60, 781/24, -17/16, -781/12, 
  -42247/400, 32461/400, 88/15, -51/5, -6, -6, 3, 6, -3, -37/8, 39/4, -53/8, 
  -37/8, -3, 39/4, -53/8, 3, -3, 3, 6, 6, -6, -12, -4, 0, -2, 0, -6, 0, 14, 
  6, -28, 5/2, 85/12, 9/4, -11/3, -53/12, -77/12, 12, -49/12, -4, 9/4, 71/12, 
  -2, 5/4, -13/12, 10, -37/4, -5, -45/8, 155/24, -47/4, -59/8, -41/8, 
  -935/48, 41/4, 3/8, -4, 8, -20, 0, -24, 0, -185/4, -57/2, 2, -100, -36, 
  57/2, 22, 108, 32/3, -135/4, -230/3, 284/3, 83/4, 146/3, 0, -225/4, 
  -851/12, 2, 19/4, 43, 911/12, -36, -15/2, 159/4, -127/4, -709/6, 287/3, 
  -15, 146/3, 0, 2, -851/12, 8, -103/4, 43, 791/12, -36, -71, 159/4, -8, 
  -1177/6, 329/4, -113/12, 17/6, 41/2, 113/8, -17/4, -75/4, -4, -17/4, 
  -161/6, -33/2, 65/6, 43/12, 177/16, -323/12, -983/48, 119/4, 9/2, -177/16, 
  257/24, 323/12, -257/24, -257/24, 5, -2, -1, -1, -1, 7, 0, 2, 9, -21, 
  -163/6, -7, -30, -128/3, -2, -17/3, -21/4, 197/6, 21/4, -163/6, 23/12, 
  21/4, -149/12, 15/4, 33, 0, 0, 21/4, 0, -21/4, 113/12, 21/4, -239/12, 15/4, 
  113/4, 21/2, -199/4, 73/2, 247/12, -183/8, 113/6, 413/24, -29, 145/4, 19/8, 
  -163/4, -207/8, 65/4, 887/12, 0, -281/2, -20/3, 57, 7951/24, 1883/24, 
  -9455/48, 687/16, 171/16, 45/16, 561/16, 0, -1163/16, 13/4, -209/16, 119/4, 
  1537/4, 185/16, 281/8, -3707/48, -3381/16, 687/16, -321/16, -1157/48, -2, 
  691/48, -3, -299/16, -327/8, 281/16, 137/8, 15, 0, 0, 0, 0, 0, 0, -3/4, 0, 
  -5, 1/4, 3/2, 3/4, -1, 0, 3, 0, -18, -152/3, 0, 27, 851/12, -12, -3/2, 
  -13/3, 39/2, 0, -1073/12, -5/3, -3, -21/2, 3, -3, -7, -161/6, -57/2, 12, 
  8/3, 7/2, 371/3, 5/2, 7, 0, -7/2, -1/2, -2, 23/2, 3, 51/2, -23/2, -11/2, 
  -47/2, 3, 1/2, -47/2, -199/16, 91/4, 235/16, -3, 1/2, -177/16, 3, -5/2, 
  53/12, 77/4, 77/6, -4, -19/2, -29/12, -577/12, 23/3, -1, -1, -7/3, -2, 9, 
  0, 1721/24, -105/8, 0, -1655/12, 33/8, 1637/24, 3/2, 1/2, -67/8, -1/2, 
  59/8, -3, 2, -1613/48, -23/4, 1597/16, 23/4, -1589/24, 15/2, -25/2, 2, -2, 
  61/24, 61/24, 61/24, -191/24, -535/24, 151/6, -61/24, -61/12, -5/2, 1, 
  75/4, -23/6, -2, -21, -311/12, 8, 3, -3/4, 1/4, -73/4, -25/3, 127/12, 0, 
  11/4, 15/2, -3, 5/2, 1, 5/3, 565/12, 67/2, -11/2, -21/4, -11/3, -154/3, -4, 
  -2, 65/6, 8, -85/12, -25/2, 0, -7/4, 7/4, 17/8, -6, -1/4, -1/2, 0, 1, 
  -21/4, 163/12, 0, 81/2, -7/4, -1, 25/8, -1, -7/8, 3/2, -2/3, 1/2, -1, 
  -14/3, -55/4, 9/2, 3/4, 5/24, 3/2, 5/4, -43/8, -1, 0, -3/4, 871/48, 68/5, 
  -3, -291/400, 1, -19/16, -23/2, -99/8, -4537/120, -395/12, 19/4, 5/16, 
  97/8, 3/2, -35/4, -441/16, -356/15, 1/2, 145/16, -23/6, 175/6, -145/16, 
  -45/4, 14, -4, 55/4, 2, 1/2, -3/8, -7/8, 0, -9, -3/4, 3, 7/2, -27/2, -20/3, 
  13/8, -33/4, -33/8, 0, 13/4, -15/2, -23/3, 21/4, -1/6, -31/6, -5/4, 21/4, 
  -113/12, -31/6, 7/2, 11/2, -225/8, 747/32, -86811/800, 103, 0, -933/32, 
  -77/2, 225/8, -27907/96, -747/32, 32969/80, 86811/800, -102, 28961/480, 
  845/32, 73/2, 27907/96, -126497/1200, -33209/80, -31361/480, 126497/1200, 
  -1, -2, 28/3, 0, -7/2, 119/12, -223/12, 4, 79/8, 1, -1/2, 8/3, -3/2, 
  -27/16, 671/48, 157/24, 0, 9/2, 161/48, 3/2, 51/8, -47/6, 13/2, -253/12, 
  -139/6, -2, -43/3, -11/4, 95/4, 167/24, -3/4, 31/12, 3, -45/4, -2, -6, 
  227/12, 0, -15/2, -217/6, 8, 9, 1, 11/2, 14, 80/3, 13, -14, -3/2, 9, -61/6, 
  15/2, 0, -20/3, 27/2, -10, -787/12, -1, 7/2, 71/2, 815/12, 5/4, 55/2, 21/4, 
  -55/12, 59/16, 0, 0, -887/144, 11/4, 71/36, 2, 29/6, 5/2, 365/48, -35/6, 
  -245/36, -3, -11/2, -221/12, 3, -59/16, 347/72, -3/4, -199/36, -359/72, 12, 
  5/48, 40/9, 1/72, 239/36, -347/72, -11/6, -49/2, -23/72, 31/12, 3, 1, 1/2, 
  -21/8, -3, -5/4, 1/2, 3/8, -25/32, -3, -4, 0, -1/4, 3/2, 1/2, -45, 19, 2, 
  1/2, -541/144, -77/8, -77/24, 1271/144, 77/8, 89/24, -365/72, -1, -3/2, 
  -91/8, -2275/144, 119/8, 533/72, -2, 7/2, 1003/144, -95/144, 0, -3931/144, 
  863/144, 6, 71/144, 13/8, 959/48, -29/8, 947/72, -31/4, -3, -383/72, 2, 
  115/8, -21/8, 379/96, 21/8, 437/96, 65/8, -323/36, -21/8, 2675/96, 259/72, 
  -245/96, -291/4, -35/8, 161/18, 34, -503/16, -179/48, -117/8, 559/16, 
  -227/12, -12, 7027/24, 209/32, 1345/24, -14819/288, 41/6, 63/4, 4, 
  -3527/24, -2, 0, 0, 0, 0, -4/9, 0, 4/9, 2, 5/9, 119/8, 7/4, -115/4, -213/8, 
  477/8, 387/16, 54, -62757/400, 803/40, 11611/200, 33/2, -271/8, 0, 
  -2771/16, 3751/80, 11387/100, -12, -9/2, -3079/20, 9/2, 2281/16, 
  -72757/400, -10969/80, 3073/40, 10111/200, 289/8, 69/2, 47/4, 449/8, 89/4, 
  -559/8, -889/8, -69/4, 563/8, 53/8, 7/2, -179/2, -41/8, -15/2, -9/2, 35/4, 
  0, 1721/8, 199/4, -1733/8, 213/2, 6, -493/4, 6, -1705/16, -153/2, 907/8, 
  665/4, 63/2, 139/2, -4469/16, 310/3, 221/4, 1503/16, -2087/48, 117, 
  1793/24, -21, -901/16, 925/16, 7529/48, -925/16, -2413/24, 253/8, 21/8, 
  -233/8, 15/8, -1513/16, 69/2, 2885/24, -205/12, -4, -905/16, 61/8, 
  15089/96, -109/4, -3311/96, -14539/16, -3477/16, 2441/8, -218/3, 133/4, 
  -815/12, 14365/96, 3, 53/4, -267/16, -31153/600, -119/8, -681/80, 59/16, 
  137/4, 5953/240, -145/24, 14, 171/8, 83/2, 0, 58, -377/4, -48, -533/4, 
  45/4, 333/4, 265/8, -3/4, 322/3, 689/4, -349/3, -97/2, 16207/16, 7001/96, 
  -403/16, 871/5, 187/6, -4, -27623/96, 51/2, -2/3, -16207/16, -12895/32, 
  -22909/120, 25447/96, 7921/24, 23/4, -43/2, -5/2, -43/2, -17/4, 31/8, -6, 
  -61/6, -109/6, 1, 3/2, -115/6, -377/48, 83/6, -11/12, 147/8, 275/48, 63/8, 
  195/8, -20581/600, -2029/1200, -99/8, 1039/24, -7363/240, -103/8, -265/24, 
  161941/1200, 6387/100, 17603/240, -277/10, -791/8, -625/3, -1335/32, 391/4, 
  12979/400, -469489/1200, 423, 3085/96, -5881/32, -327/2, -85543/96, 
  10953/400, 1430251/1200, 35681/240, -366851/1200, 19/2, -887/16, -63/8, 
  -343/3, -63/4, 103/16, 47/4, 247/12, -143/8, -647/16, -203/48, -173/6, 
  403/16, -12691/16, -773/24, 91/6, -10081/48, 11975/16, 3997/16, 9737/48, 
  -10157/48, -451/12, 8147/48, 65/6, -1205/8, 43/12, -1575/16, -1933/48, 0, 
  7195/96, 289/4, -251833/800, 15563/48, -44, -20893/96, -269/2, 15733/96, 
  -1171/96, 332249/240, 2347/120, -749041/1200, -3/2, 3/2, -3, 3/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -3/2, -3/2, -193/12, -1, -1, 1, 1, 1, -181/12, -1, 
  -1, -2, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1/2, -1/2, -1/2, 1, -1/2, -1/2, 0, 
  1/2, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 
  1/2, -1/2, -1, 0, -1/2, 1/2, 1/2, -1, 1, -1/2, 1/2, 3/2, -181/24, -1/2, -1, 
  1, -1, 1, 1/4, -3/2, 137/8, 9/4, -137/8, -1, 0, 1/2, -91/48, -49/24, 91/48, 
  -3/4, -1/2, 163/48, 1/2, -1/4, 5/4, -37/24, -1, -1/4, -1/2, 139/48, 1/2, 
  28/3, -1/2, 1/2, 1, -145/24, 1, -1/2, 3/2, 1/2, -1/2, -5/2, 133/24, 3/2, 
  -3, 1, 5/2, 3/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -49/8, -49/12, 49/8, 49/12, 
  49/6, 49/24, -49/12, -49/24, -49/24, 49/24, 0, 0, 0, 0, 49/24, 0, -49/24, 
  -49/24, 1/4, -1/4, 95/6, -37/24, 5/4, -141/8, -1, 1/4, 1/2, 1/4, 187/48, 
  139/48, -1/2, -1, 43/12, 85/24, -45/8, -67/12, 181/12, -55/12, -1/2, 31/12, 
  1, 13/24, 1, -13/24, -1/4, 5/4, -37/24, -1, 1/4, 1/2, 211/48, 0, -1/2, 
  -3/2, 1/4, 43/12, -5/4, 85/24, 1, -23/6, -1, 55/16, 3/2, -43/12, -2, 3/2, 
  0, 0, 0, 0, 0, 0, 0, -1/2, -49/12, 5/2, 49/12, -2, 49/6, 49/12, -49/12, 
  -49/12, 43/12, 2, -1/4, 199/24, 5/4, -59/6, -1, -1/4, -1/2, 163/48, 1/2, 
  199/48, 91/16, -199/48, -1/4, 211/24, 5/4, -31/3, -1, 1/4, -1/2, 235/48, 1, 
  1/2, 43/24, 1, -193/24, 99/8, 1/4, -55/24, -283/48, 109/24, 1/4, -43/24, 
  -1, -1, 49/24, 1, 7/2, -1/4, -1, 0, 0, 0, 0, 0, 0, -3/4, -49/12, 15/4, 
  -137/8, -3, 91/4, 1/2, 37/24, 253/48, 45/8, -67/8, 3/4, 1/2, -335/48, -1/2, 
  43/12, 2, -45/8, -2, 49/24, 0, 0, 0, 1/4, 49/24, -5/4, 45/8, 1, 1/4, 1/2, 
  -335/48, -1/2, -49/24, -91/8, 49/24, 0, -25/4, 91/8, -91/16, -91/16, 91/16, 
  -1/2, -3/4, 1, -1, -1/2, 1/2, -1/2, 251/24, 1/2, 1/2, -683/24, -1, 233/12, 
  1, 3/4, -1, 1/2, -745/32, -1037/32, -1/2, -1/2, 2339/96, 1, 3/4, 16277/192, 
  -3/4, 1/4, -1, -77/16, 295/576, 907/48, 115339/7200, -333133/4800, 53/8, 
  1751/192, -57/16, -3133/144, -6575/576, 299849/2880, 83/576, -303023/7200, 
  3/2, -3/2, 3, -3/2, 1/2, -1/2, -1/2, 1, -1/2, -1/2, 0, 1/2, 0, -1/2, 0, 
  -1/2, 367/48, 547/48, 783/64, -1283/192, 147/16, -847/64, 183/32, 551/64, 
  -783/64, 3239/192, 147/16, 75/64, -163/16, -2, -275/32, 517/96, 301/16, 
  -847/32, 417/32, 217/96, 217/96, 2, 5/3, -247/16, -545/24, -5/3, 1697/48, 
  131/48, -473/24, 577/48, -197/8, 19/8, 409/48, 1073/1152, 4615/384, 
  -17227/1152, -105/16, 815/64, -26453/1152, 589/48, -1073/1152, 1715/192, 
  1363/96, 5975/1152, -1715/192, -847/32, 369/32, -863/32, 517/96, 357/16, 
  217/96, 217/96, 847/32, -3079/96, -557/16, -217/96, 493/24, -1/2, -1, -1/2, 
  1/2, 1, -1, 1/2, 1/2, 0, -1/2, 0, 1/2, 0, 1/2, 33/40, -107/60, 68/15, 3/5, 
  31/24, 46/15, -63/40, -39/40, 0, -1/4, 35/6, 0, 47/20, 5/2, -167/15, -83/5, 
  -3/5, -31/24, -61/15, 103/40, 1/2, -23/15, -53/60, 49/90, 83/30, -1, 19/10, 
  -53/45, -1, 8/15, 9/5, 139/90, -37/45, -181/60, -39/16, -1/2, -1/2, -7/40, 
  -51/160, -11/40, 301/48, -89/48, -53/12, -289/24, 65/48, 277/48, -259/24, 
  -85/48, 175/24, 85/48, 7/2, 253/12, 85/48, -163/24, -247/24, 2/3, -2/3, 
  -2/3, -193/12, 1/2, 3/2, -259/24, -85/48, 175/24, 85/48, 7/2, 253/12, 
  85/48, -163/24, -247/24, 2/3, -2/3, -2/3, -81/16, 81/16, 235/24, 85/48, 
  -37/48, -247/24, 10387/192, 1595/64, 146053/4800, 15977/480, -11887/480, 1, 
  3/2, 1, 1, -181/12, 1/2, -1, -3, -2, 5/2, 1, 187/48, 127/48, -247/48, 
  -127/48, 5/4, -187/24, -127/48, 247/48, 187/48, -1, -1, 229/48, -229/48, 
  -1/16, -253/48, 161/48, 49/48, -1/16, -109/24, 161/48, -19/24, 11/48, 0, 0, 
  217/12, 193/12, 5/2, -289/8, -9/2, 289/8, 2, -5/2, 0, -671/24, 0, -433/24, 
  -5/6, -257/6, -289/24, 5/6, 5/2, -289/8, -9/2, 289/8, 2, -5/2, 0, -671/24, 
  0, -433/24, -5/6, -99/4, -289/24, 5/6, -1, -1, 181/12, -1, 1, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 3, 0, 1, 63/4, 
  -773/24, 1003/96, 3275/96, -583/24, -87, -1307/144, -77/8, 289/8, 
  61355/144, -7201/60, 669929/3600, 0, 2, -3, 0, -1, 1, 1, 1, 1, 2, -1, 0, 
  -61/48, -61/48, 61/48, 19483/1152, -7129/1152, -2499451/86400, -29063/4320, 
  69771/1600, 0, 0, 0, 1/2, -251/24, -1/2, 5/8, -26305/1152, 349/128, 187/32, 
  23411/576, -1/8, -20/3, -1/2, -1649/96, 5/8, -4615/384, 112381/1152, 
  105/16, 187/32, 4325/288, 1649/96, -5/6, -5/3, -21/2, 5/24, 0, 0, 0, 0, 2, 
  -2, 4, -2, 3/2, 13/4, -3/2, -2, -2411/48, 5/2, -1/2, 1/2, -517/16, 0, 1/2, 
  -2, 1, 2183/48, 1/2, -1, -1, -5/2, -1, 71/6, 1, 5/2, -1, 2507/48, -9/2, 
  -7/2, 5/2, 501/16, 0, 1, 7/2, -1, 3, -2135/48, -11/2, -3, -1/2, 1/2, -1/2, 
  -3, 0, -1, 0, -847/32, 385/32, -863/32, 517/96, 333/16, 217/96, 217/96, 
  415/48, 847/32, -3079/96, -413/16, 1069/96, 481/24, -223/12, 95/3, 227/48, 
  1441/48, -769/48, 7/12, -451/48, -477/16, 33/8, 433/24, 15743/1152, 
  -223/12, 4615/384, -49483/1152, -105/16, -3/2, 1489/48, 5803/1152, -1/6, 
  -15743/1152, 2765/96, 3151/96, -7531/1152, -327/32, 1, -85/4, 1, 83/3, 
  -497/48, 1553/48, -577/48, -1/12, -547/48, -637/16, 49/8, 457/24, 
  15743/1152, -85/4, 4615/384, -48331/1152, -105/16, -1/2, 1553/48, 
  4651/1152, 1/6, -15743/1152, 2381/96, 2479/96, 533/1152, -341/96, 0, 0, -1, 
  -1/2, -1/2, 1, 1/2, 1, -6, 1, 17/3, -1, -259/360, -51/160, 3/2, -649/30, 
  1639/360, 2, 221/48, -2359/1440, -1157/180, 149/120, -81/40, 81/40, -1/15, 
  11/6, 577/120, 197/15, -39637/1440, 1/2, 463/30, -1549/120, 42, -283/80, 
  -1, -2627/480, 1127/60, -27/40, 121/40, 8/15, 83/60, -33/40, -113/30, 
  6913/480, -1, 607/30, 1/16, -1/2, -85/16, -9/5, 151/40, 27/4, -81/40, 8/5, 
  -9/20, -139/30, -169/10, 1253/45, -1/2, 29/5, 1943/240, -87/2, -57/40, 1/5, 
  661/96, -391/30, 49/40, -23/15, -83/60, -7/40, 83/30, 69/160, -1/2, 
  -281/15, 93/16, -42, 85/16, 9/5, 9/40, -35/4, -1, 199/12, 81/16, -305/24, 
  -947/48, 75/4, 3/2, -199/12, 317/24, -3/2, -2, 1/3, 6, 1, -4, 379/24, 
  -251/48, -77/8, 251/48, -37/6, -373/12, 251/48, 73/8, 367/24, -6, 6, 2, -4, 
  1/16, 59/6, 65/48, -59/6, -17/12, -395/48, -127/48, -49/24, 26/3, -13/3, 
  151/48, -331/24, 35/6, 1, 2, 199/12, 81/16, -121/12, -1325/48, 91/4, -2, 
  -181/12, 127/12, 1, 1/3, -2, -1, 3/2, 81/16, -101/8, -1/2, -187/12, 205/12, 
  3/2, -3/2, -17/16, 26/3, 0, -2, 1/16, 241/24, 65/48, -241/24, -17/12, 
  -239/48, -95/12, 45/8, 59/12, -13/12, -23/12, -49/8, 13/12, 3, -193/12, 0, 
  -281/6, 0, 269/6, 0, -269/6, 0, 0, 0, 0, -269/6, 0, 107/4, 0, -269/6, 0, 0, 
  0, 0, -269/6, 0, 107/4, 0, -269/6, 7/2, -341/24, 151/12, 727/24, 1, -3, 
  -1/2, -177/8, 1/2, 31/8, 44, -245/6, -851/24, -1/6, 11/2, -341/24, -7/2, 
  727/24, -1, -3, -1/2, -177/8, 1/2, -1031/24, 44, 8, -851/24, -47, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -137/12, 269/24, 35/6, 7/24, 0, -3, 137/12, 
  -143/8, -35/6, 63/8, 20/3, 0, 61/48, 0, 0, -61/48, 0, 137/12, -269/24, 
  -341/48, 159/8, 20/3, 0, 0, 0, 71/4, -755/72, -269/24, 1619/96, 1949/288, 
  -217/8, -175/2, -1277/144, 17/9, 277/8, 23273/72, -37/24, -2263123/21600, 
  -59311/2160, 114503/900, 137/12, -269/24, -35/6, 17/24, 0, 2, -137/12, 
  143/8, 35/6, -71/8, -20/3, 0, -61/48, 0, 0, 61/48, 0, 61/48, -2, 13/24, 
  -1/2, 119/12, -13/24, 1/2, -43/24, -219/32, 0, 899/32, 398677/9600, 
  -333133/3200, 3/8, 469/48, -637/64, -4219/192, -167/32, 43/24, 1, 
  -13549/384, -6479/384, 451007/3200, -41/12, -3/4, 1273/48, 5/8, -1, 
  -304223/4800, 1/2, 3137/1152, 11/4, 1337/192, -13/4, -53/16, 1, 0, 
  4945/1152, -4171/128, 20179/1152, 75/16, 2/3, 1/2, -12355/1152, -3/4, 
  -3137/1152, 1619/192, -1577/96, 19/4, 157/72, -1651/192, -1241/32, 
  -6839/1152, -1619/192, 0, 3287/192, -49/40, 11/288, 7/4, 491/144, -479/144, 
  33/5, -3767/120, 3989/180, 4171/90, -3/5, -1/4, 103/40, 3/2, 1/2, -3/4, -1, 
  9/2, 153/8, -23/4, -145/8, 2, 4, 2, -139/48, -185/48, -367/48, -3/4, -3/2, 
  -341/48, -5/2, 1, -1, -23/2, -2, 3/2, 1, 23/6, -5/2, 1/3, 1, -4/3, 1/2, 
  3/2, -213/4, -9/2, 213/4, 5/2, -1, -1/2, 287/48, 1/2, -551/16, 1, -1/2, 
  -331/12, -5/12, -7/3, -5/12, -103/8, 295/24, 145/12, 5/12, 5/12, 0, 0, 
  73/8, 667/192, 479/192, -607/48, -177/4, -1307/288, 463/48, 281/16, 0, 
  1759/12, -149/48, -1316923/43200, 3479/4320, 113603/1800, -1501/96, 1, 
  497/96, 1501/96, -1, -43/24, -1, 1/4, -1027/96, 5/8, -5095/384, 
  108757/1152, 121/16, 1/4, -37/24, 533/96, -3367/288, 1/4, 43/24, 1, 429/32, 
  -4/3, 163/24, -49/24, -1, 605/48, 1/4, 17/24, 1, 37/12, 4615/192, 
  -33289/576, -7135/192, 31513/576, 105/8, -37/24, 20333/1152, 31513/1152, 
  -7285/576, 0, -11065/1152, -37/12, 25/24, 1421/48, -17/12, 211/12, -277/96, 
  -13/24, -479/96, 191/32, -25/24, 17/12, 13/24, -1/2, -37/24, -4615/384, 
  31513/1152, 105/16, 0, 0, -11065/1152, 25/24, -13/24, 1145/96, 191/32, 
  13/24, -1/4, 7/4, 271/24, -3/2, 1, 3/2, 3/4, -809/32, -2867/96, 5/4, 1/4, 
  -3/4, -3/2, 2867/96, -1/4, 0, -3/8, 29/8, 925/64, 9731/192, -3/2, -5/4, 
  3/2, -2, -3/4, -27/8, 2551/64, 33/4, 11/8, -19/8, 13/8, -3/4, -2747/48, 
  13/8, 3/2, 85/32, -1933/288, 0, 267/32, -8903/192, -15449/1152, -947/32, 
  26029/4800, 334733/3200, -61/16, -5/8, -201/16, -47/6, -3223/192, 69/32, 
  263/32, -161/24, 19393/1152, 6287/1152, -11177/384, -387449/14400, 
  -2080469/9600, 35/6, -113/18, -227/8, -1/8, -89/24, 281423/14400, 
  287423/4800, 107/24, 1/2, 81/32, -1933/288, 0, -1123/96, -15449/1152, 
  352333/9600, -61/16, -5/8, -91/24, 1/2, 69/32, 73/32, 8285/384, 6287/1152, 
  -691/96, -52121/1200, 313933/9600, 121/48, -443/72, -2951/96, 57/32, 
  7351/1152, 261607/9600, -1822717/28800, 3389/576, 299423/14400, -2903/288, 
  5027/1152, 5607/128, -5731/192, -44347/1152, -431/16, -1315/48, 2, 3/2, 
  15355/576, -1, 349/128, 10185/128, 1405/48, 0, 9/4, -21763/576, -3/2, 
  2903/288, 29911/1152, 25/12, 3769/32, 961/12, -133/24, 67/144, -34117/1152, 
  -12563/96, 3851/288, -1941/64, -37/12, -5/2, 12079/192, 1, 55/24, 
  -18095/1152, 1/4, -1785/128, 13111/1152, -5/4, -187/16, 3, 1/4, 1/2, 
  -2345/96, -9331/1152, 457/48, -3/4, 193/96, -55/24, -11773/1152, -43/12, 
  -469/32, -865/24, -4, 2833/96, -43013/1152, -2957/96, -1015/96, 2489/96, 
  67/12, 4, 125/96, -2, -39/8, -37/12, 0, -4647/128, 28075/384, 32209/576, 
  335/16, -47/8, -1, 10/3, 2, -13307/384, -26911/288, -401/48, -2, 23257/576, 
  -119/288, 11993/576, -41/12, -1907/16, -2275/24, 133/12, 3709/288, -433/72, 
  4091/48, -1793/72, 10801/192, 37/12, 5, -3783/64, -2, -3/4, -37/12, 0, 
  -4375/192, 32209/576, 97/8, 1/2, 4/3, 2, 4615/192, -26911/288, -105/8, 
  -1/2, -2, 22393/576, 3/4, 23/2, -41/12, -45/4, -1115/12, 9, -5201/576, 
  -469/72, 1039/12, -1865/72, -101/12, 5/6, -57/2, -10109/192, 31/12, -67/8, 
  -3727/60, 401/120, -127/15, 122/3, 4, 1/4, 2173/720, 2599/720, 112/15, 
  4073/480, 4427/96, 8101/180, -13297/360, -19433/360, 1208/45, -2761/120, 
  539/180, -1151/24, -3183/40, 47413/720, -7/2, 4621/90, 5233/360, 71/40, 
  -5909/1440, -5467/1440, -53/40, -48923/2880, -64235/576, -2413/144, -71/40, 
  35537/720, 9811/360, 6093/80, 25867/360, 3/2, -946/45, -17807/360, -3/2, 
  1/4, 437/288, -1051/1440, 89/60, 10007/2880, 21163/2880, -16019/720, 
  28877/720, 15469/120, -7643/288, -91/40, -6043/720, 6937/360, -2957/360, 
  959/40, -106813/1440, -2, -1577/90, -3019/360, -89/2, 5443/720, 8027/1440, 
  107/15, -4129/240, 261/8, 53/60, -1/2, -1081/120, -139/72, 103/30, 3/4, 
  403/16, 991/24, -7/2, -2383/48, -991/24, 15/4, 587/24, -1, -7/2, -225/16, 
  -63/8, -131/48, 447/16, 179/48, -3/4, -81/8, 683/48, 7/2, -219/16, 
  -8299/96, -1871/32, 517/48, -187753/2400, -181/24, 461/24, -7199/80, 
  -59/16, -325/48, -37/12, 12127/240, 1/2, 4/3, -1, 7/4, -1, 3/4, -27/8, 
  123/16, -7/4, -167/12, 0, -7/4, 1/2, -11/4, -223/48, -311/48, -9/2, -2, 
  -83/48, 3461/64, 1411/64, -163/16, 58751/1600, 2, 73/24, 16367/480, 319/48, 
  -25/16, 13/24, -12367/480, -3, -43/24, 2, -1/4, 1529/48, 497/16, 3/2, 
  -2447/48, -497/16, -9/4, 153/8, 1, -1, -1295/48, -21/8, 397/48, 1067/48, 
  -55/48, -3/4, -31/8, -229/48, 2, -23/4, -9311/192, -1595/64, 83/6, 
  -51751/1600, -181/12, -17/4, -7469/160, -209/24, 17/2, -49/8, 11887/480, 
  -1, 37/8, 229/48, 455/16, -229/48, -455/16, 0, 1/4, -1457/48, -21/8, 83/24, 
  1355/48, -5/12, 3/4, -31/8, -259/48, 2, -13/16, -14431/192, -1595/64, 
  341/48, -51953/4800, -3, -19/48, -6969/160, -349/12, 87/8, -29/3, 
  11887/480, 4, 101/6, 0, 0, 1, 0, -1, 1/2, -1/2, 0, 115/8, 0, -107/8, 0, 
  1/2, 0, 115/8, -1, 7, -73/4, 0, -6, 295/8, 3/2, -5, -2, -313/16, 1, 
  -103/12, 683/24, 0, -47/2, -409/24, -181/24, 9/2, 3/2, 91/48, -1, -107/24, 
  -7/12, -55/12, 53/3, 31/12, 0, 0, 0, 0, 0, 0, 145/12, 619/16, -623/12, 
  -1783/48, 87/4, -9, -1/2, 209/8, 1/2, 1259/48, 5/6, 0, 119/16, -5/6, 0, 0, 
  0, 0, -7/4, 619/16, 3/4, -1783/48, 1, -9, -1/2, 209/8, 1/2, 595/48, 5/6, 
  83/4, 119/16, -5/6, -61/16, 0, -2/3, 61/16, 0, 2/3, 0, 61/8, 161/12, 
  -607/48, -19/4, 0, -61/16, -191/24, 73/8, 13/18, 697/64, -4283/576, 
  -647/48, -179/4, -1883/288, 0, 1163/144, -1, 313/16, 3, -73/8, 719/16, 
  -197/16, -4283/192, -27301/1800, 309/16, 145/3, -16223/720, 245/144, 
  -321/16, -6575/144, 35207/1800, 508483/14400, 44861/1440, -26089/3600, 
  61/24, 61/16, 0, -4/3, -4/3, 0, -61/16, 0, 4/3, 0, -15, -13681/1152, 
  9433/384, -901/32, 2151551/28800, 265/8, 44153/384, 41549/1920, 
  -3665251/86400, -251663/4320, -145693/384, -1470103/9600, 433829/28800, 
  441509/14400, -857099/14400, 61/16, 0, -4/3, -61/16, 4/3, 0, 0, -61/8, -2, 
  1313/72, 109/16, -1217/72, 0, 61/16, -1217/72, -1/4, -25/12, -5095/384, 
  33913/1152, 121/16, 1/4, 1/2, -15025/1152, -1/2, 1549/96, -37/24, -31/12, 
  -73/8, 37/24, 73/16, -4327/576, 0, -1003/48, -10315/288, 342733/4800, 
  -57/8, 3/4, 2095/192, 37/16, -1, 1021/36, 6287/576, -1200073/14400, -5/4, 
  -3/4, 14707/576, 3413/96, -1/4, 1, 91/16, 306623/7200, 3/4, 1/2, -3413/96, 
  1/4, 0, -3/4, -37/12, 0, -5191/384, 22729/1152, 141/16, 379/24, -1, -1/4, 
  3/2, 1679/1152, -1, 0, -1589/48, 1, 0, -1/2, 91/8, 3/4, 233/24, -35/12, 
  -45/4, -2255/48, -19/4, 9, -83/8, -2, -53/24, 0, 185/16, 279/16, 35/12, 
  -3/4, -1/2, -275/48, 2, -53/8, 1/3, -55/2, 0, 121/12, 13/4, 34, 49/24, 
  31/12, -67/12, 1/4, 437/288, -553/720, 37/30, -7/4, 10007/2880, 42283/2880, 
  -22739/720, 28877/720, 15199/120, 28/3, -7643/288, 1, -3/4, -497/48, 251/9, 
  -83/120, -14911/1440, 371/1440, 17129/360, -130979/720, -20737/80, 
  7643/144, -1, 2333/90, -25/4, -869/60, -739/12, 14645/72, 1/2, -3/2, 
  173/90, 1, 5749/720, 8027/1440, 107/15, 1/4, -149/160, 757/48, 1, -273/16, 
  -12517/360, 15979/720, -214/15, -5389/480, -371/16, 59/16, 3161/60, 
  -3857/60, 6283/240, -181/6, -9/40, -1081/120, -3/4, -91/16, -1709/360, 
  193/15, 273/16, 1871/180, 103/30, -1/2, -103/15, 3/4, 199/12, -9/2, 
  -323/12, 23/4, 31/3, -2, -9/4, -1/2, 1, -59/16, 25/8, -4, 199/48, 2, -7/2, 
  -3/2, 55/8, -87/8, -3/2, -3/4, -139/12, 15/4, 103/24, 23/2, -3, 99/8, 1/2, 
  7/2, -35/2, -28/3, -179/12, 3/4, 1/2, 55/3, -1/2, -6, -1/3, 3, -1, 181/12, 
  -1, -9/2, -109/12, 1, 0, 0, 0, 0, 1, 1/2, 1/4, 221/48, -13/4, 325/48, 7/2, 
  -91/8, -1/4, 0, -77/24, 0, 305/16, -1/2, -1/2, 351/16, 5/12, 63/8, -319/48, 
  -321/16, -5/12, 61/24, 61/48, -8/9, 0, 14/9, -61/48, 0, -14/9, 0, -61/12, 
  -61/48, -71/8, -3707/1152, 9433/1152, -1033/64, 1629901/86400, 83/4, 89/2, 
  4967/1080, 859/144, -289/16, 0, 61/24, -18061/128, -1380703/28800, 
  321479/17280, 13279/2160, -60257/2880, -11/12, 51/4, 587/8, -51/4, 
  -1739/24, -503/48, -57/4, -977/16, 547/48, -31/12, 31/12, 49/12, 1687/96, 
  -5/12, -3433/48, 5/12, 5179/96, -21, 419/8, 5/12, -5/12, 61/24, 
  -110821/1152, -710471/5760, 425237/14400, 137251/3200, 89/16, -18851/192, 
  -1411/64, 113/8, -10639/2400, -50903/4800, -1/4, 6719/240, 463/480, 1/2, 
  2399/48, 15007/480, -4/15, -2411/48, -73/16, 0, -2271083/9600, 71/8, 13/3, 
  -19277/192, -89/16, -1547/48, 617539/4800, 45469/128, 16469/192, 
  -437173/2400, 77/16, -32327/576, 921/16, -1003/48, 347533/4800, -53/8, 
  49/16, 11141/144, -3738869/14400, -3573/25, -1729/72, 368039/1440, 
  1337/288, 103/16, -35/12, 1349/192, -577/32, -14893/576, 10999/576, 
  -115/16, -20407/576, 163/16, -715/144, 65647/1152, 0, -28543/1152, 
  1572871/28800, -71/16, -4025/72, -1, 24125/1152, -11/4, 3893/1152, 
  -97397/1600, 787/576, -56305/1152, -1533/64, 77/8, 54743/384, -2657/64, 
  -12353/384, -805353/3200, 1005349/7200, -413/576, -27103/720, 104275/1152, 
  19061/576, -12617/128, 643439/2400, 27967/960, 115333/1920, -573989/4800, 
  3779/240, -3859/40, 99/40, 87419/320, 58351/960, 319/24, -473/12, -283/24, 
  473/12, -3/2, -331/24, 0, -351/16, 0, 2265/64, 4625/192, -56347/4800, 
  10517/480, -3829/160, 63/4, -1303/48, 1003/96, 2789/96, -583/24, -2323/24, 
  -781/72, -425/48, 557/12, 214259/576, -1595/64, -240711/1600, -15977/480, 
  1518163/7200, -11, 1/2, 9, 5, -3, 1, -250/3, -1/2, 2251/24, -6, 0, 268/3, 
  6, -1, 1/2, 0, -85/24, 133/8, -239/16, -133/8, 887/48, -3337/96, -125/8, 
  1817/32, 3677/96, -11/8, 11/8, 3/8, -1687/192, 5/24, 3433/96, -5/24, 
  -5179/192, 21/2, -377/12, -5/24, 5/24, 61/16, 541/64, 21761/320, -2215/192, 
  -217/24, -18767/240, 9/2, 9, -1, -817/32, -2, -1/2, -3, 22661/288, 1, -3, 
  -1071/32, 1283/96, 4931/96, 11909/96, -293/48, 6, 857/96, -2573/32, 
  -487/24, 1071/32, -2311/96, -5231/48, -951/32, 257/24, -2185/128, 
  29053/1152, -2537/384, -29053/1152, 2273/96, 875/72, -27325/1152, 
  32941/1152, 5665/1152, 179/24, 1/2, -179/24, -215/24, -1/2, -241/24, 
  -60043/576, -97/8, -13607/192, 22405/1152, 6757/128, 3415/48, 63283/576, 
  472/9, -171/16, -985/18, 19/24, -157/12, 3371/36, -1/2, 11051/384, 
  -41701/1152, -28439/384, 41701/1152, 1449/32, -3277/144, 42277/1152, 
  45227/1152, -6937/1152, -133/24, -1/2, 133/24, 121/24, 1/2, -5639/384, 
  43213/1152, 12703/384, -43213/1152, -883/48, -26507/576, 39253/1152, 
  94969/1152, -10249/1152, 2563/96, -31/2, 2633/96, 733/32, 1/4, -263/24, 0, 
  259/8, 0, -257/12, 0, 0, -263/24, 10/3, 5, -4841/96, 0, 6829/384, 
  790777/14400, -1857/128, -9/2, -1, -57817/576, 1, 541/8, 221633/2400, 
  -2203/96, 20/3, -25/24, 407/384, -53833/1152, 5297/384, 53833/1152, 
  -713/48, 33961/1152, -58057/1152, 0, -3589/192, -11/12, 207/64, 11/12, 
  11/12, 4615/384, -53833/1152, -7135/384, 53833/1152, 105/16, 33961/1152, 
  -58057/1152, 0, -495/64, -11/12, -3491/192, 11/12, 11/12, 61/16, 61/24, 
  4235/384, 11569/1152, 2101/192, -61/16, -305/48, 1069/64, -283/48, 
  -47903/384, -518141/5760, 36929/384, -617381/7200, -997591/4800, -2149/48, 
  -68611/960, 3595/128, 0, 25461/128, -402601/7200, 30715627/86400, 
  -576047/8640, 2014573/28800, -4615/192, -11221/96, 7135/192, 11221/96, 
  -569/48, -3929/576, 56741/1152, -4602413/43200, 211723/17280, 86537/288, 
  -66123/320, -49691/128, -38453/450, 56831/240, -61/48, -61/24, 4615/384, 
  11221/192, -105/16, 12361/1152, 61/48, 61/16, -177787/1152, -207/16, 43/24, 
  -231/16, 287/12, 79/24, 219/32, 267/32, 267/16, -19/8, -155/48, -307/32, 
  9/8, 591/32, -1283/96, 147/8, -831/32, 183/16, 919/96, -543/32, 3239/96, 
  147/8, -1061/96, -163/8, 871/16, -1315/48, 959/16, 1201/96, -181/96, 
  -51/16, -107/16, -2, -895/16, 2311/48, 1043/32, 99/16, -83/4, 6517/720, 
  36073/1440, 273/10, 2201/480, 16571/720, 7469/144, -518/15, 479/120, 
  -569/288, 2671/45, -1727/120, -613/30, -14899/480, 1097/45, 98/15, 57/20, 
  -21799/720, -56/5, -27797/120, -23107/1800, 496963/2400, 33401/720, 
  3077/40, 17149/720, 1589/120, 3298/45, 53131/1440, -3889/16, -38839/1440, 
  308603/3600, 349/16, 18983/384, 14821/640, -18499/384, 39893/2400, 
  -102093/3200, -393/32, -23417/960, -25297/320, -13/32, -2361/32, 
  -13663/960, 5937/320, 683/8, 9/8, 65/8, -43/12, 81/8, 1255/96, 5683/96, 
  -41/16, -57/16, -89/8, 9/4, -557/96, 25/16, -25/4, 51/8, -977/384, 
  -899/128, -32359/384, 3573/100, 129221/9600, 29/32, 38077/960, 13709/960, 
  -79/32, 2333/96, -3189/320, -11353/320, -1069/48, -29/8, 79/8, 36067/1152, 
  -1235/128, -1537/48, 248753/28800, 319283/2400, -107/16, 10919/320, 
  -3599/192, 43/32, -86803/1152, 706063/28800, -187481/1152, -1237/720, 
  1227361/14400, 11/2, 3/2, 2221/128, 4, -7657/192, -20801/128, -4, 5107/96, 
  21/8, -8057/1152, -13925/384, -28123/720, 143271/1600, -35/4, 1, 2065/192, 
  47/8, 116239/576, 333199/28800, -480317/2880, 21061/576, 508223/7200, 29/8, 
  -8057/1152, -667/48, -28123/720, 333133/4800, -35/4, 1, 2065/192, 47/8, 
  197177/1152, 333199/28800, -764527/5760, 21061/576, 1632437/28800, -11/2, 
  2993/1440, 0, -11/2, 4, -62957/2880, -1175/96, 9/2, 56971/2880, -361/16, 
  5117/384, 2185561/28800, 65/32, 9962959/86400, -209033/4800, 763/8, 
  -355709/8640, -6005/144, -603/16, -158825/384, -1570681/9600, 
  6110623/28800, 61621/960, -24725/288, -137/12, 80039/1200, 35/6, -9355/192, 
  0, 1, 137/12, -679487/4800, -35/6, 5267/64, 119777/1600, -1261/144, 
  -1115/128, 6121/1152, 4813/192, 3649/192, -23/6, 127/384, -14275/576, 
  -7039/192, -16165/1152, -30497/1152, -31423/1152, 4/3, -16303/1152, 
  4753/576, 3167/64, -56431/1152, 894271/28800, -71/16, -62551/1152, -7, 
  51269/1152, 97/4, 5813/72, -2104021/28800, 415/576, -2831/64, 41633/1152, 
  77/8, 179041/1152, -16873/384, -11449/384, -3707101/14400, 1000249/7200, 
  -499/576, -5369/360, 2981/32, 14731/1152, -128365/1152, 4229659/14400, 
  15287/960, 174359/5760, -4112159/28800, 1283/288, 3423/128, 9503/1152, 
  -4513/192, -1235/64, 33/4, 963/128, 3745/576, 6835/192, 385/1152, 
  29729/1152, 30655/1152, -4/3, 3943/1152, -709/32, 579/64, -15641/576, 
  212/3, 343/16, -1871/48, -611/96, -611/36, -4595/96, 167/48, -3195/32, 
  -16537/576, 1015/48, 3673/96, -385/24, -179/9, -1527/128, -5399/1152, 
  2461/192, -8771/192, 23/16, 2317/384, -11989/576, 601/64, 1393/1152, 
  -51727/1152, -27391/1152, 381/16, 41047/1152, -337/24, 6739/384, -7499/576, 
  -2375/1152, -11399/384, 52369/1152, 383/48, 25307/1152, -9685/576, 
  6191/1152, 9025/1152, 51133/1152, -46315/1152, -581/32, 22507/576, 359/32, 
  155/24, 0, -251/24, -6, 5, 15, -319/48, 0, 499/16, 29, -725/48, 687/32, 
  63035/1152, 0, -48799/1152, 235471/28800, 463/48, 167/96, 11, 77621/1152, 
  -3/4, 84509/1152, -921223/14400, 25183/576, 691/1152, 14645/576, -6679/384, 
  -13511/1152, 0, 2233/48, 259/4, 0, -28393/1152, -22, -709/12, 37/2, 
  -11659/192, 21575/1152, -17/6, 76033/1152, -14839/1152, -391/384, 
  -13511/1152, 0, 33/16, 259/4, -4, -9961/1152, -22, -649/12, 37/2, 
  -11375/192, 21575/1152, 273/16, 120961/1152, -43135/1152, 5323/384, 
  -653/288, -1591/144, -4283/384, 9071/384, 1819/144, -38713/1152, -5323/384, 
  13087/576, 1591/144, -11125/576, -1309/64, 77/8, 171277/1152, -7489/288, 
  -14161/384, -2192059/9600, 1015549/7200, 359/32, -4277/180, 84595/1152, 
  451/96, -120601/1152, 4341359/14400, -1251/320, 30719/5760, -269563/1600, 
  8023/192, 1451/144, -2901/128, 359/96, -2582063/43200, -25, -41023/576, 
  216419/8640, 3535613/43200, 352757/17280, 407405/1152, 780389/14400, 
  -2784347/28800, -2327413/28800, 565681/9600, 6875/384, -3881/288, 17/16, 
  -683/384, 3157/128, -133/16, -27577/1152, -6875/384, 19271/576, -17/16, 
  -2247/64, -11509/576, 25913/720, 949/1152, -19747/120, -2936/45, 21383/180, 
  301/30, 6173/10, 47675/48, 108601/1440, -567/20, -338977/360, -105353/360, 
  719/180, 67/72, -9895/72, 428/15, -26573/320, 211063/2160, 849421/17280, 
  -3703/60, -1117/30, -1517/180, -1667/60, 39691/576, -222431/720, 
  -71891/540, 333329/1440, 917261/5760, -20377/720, -6701/80, -202409/360, 
  112913/1920, -52959/320, -148787/5760, 1378/9, 45151/72, 31879/144, 
  -30269/360, 96139/640, 13967/96, 5497/192, -18175/64, -71203/11520, 
  -1597/144, 46243/80, 358121/720, 1084939/5760, -203869/2880, -48817/640, 
  9907/180, -68707/180, -37627/720, -11111/360, -86099/384, 37759/480, 
  708803/2880, -223457/960, -2306663/11520, -847/144, 395/12, 767/144, 
  -395/12, 5/9, 325/144, 35/8, 3575/144, 33/8, -6715/192, -1419/64, 
  29649/1600, -7757/480, 11807/480, -273/32, 1247/32, -353/48, -1535/48, 
  183/8, 7651/96, 125/36, 353/32, -877/24, -375473/1152, 35851/1152, 
  3094889/17280, 121931/4320, -834283/2880, -26/9, 35/8, 37/36, -35/8, 67/36, 
  33/8, -33/8, 59/16, 35/8, -1721/48, 1/8, 365/144, -11, -703/24, 63/2, 
  607/24, 2179/48, 21, 17/2, 45, 183/4, 5/2, 35/8, 1853/48, -205/6, -863/24, 
  -19/6, 719/144, 1841/48, -5851/144, -1841/48, 1283/36, -233/144, -49/8, 
  6815/144, -27/8, -6091/192, -1743/64, 125747/4800, -34757/480, 10367/480, 
  -41/16, 1169/48, 151/48, -1169/48, -7/12, -1673/144, -49/8, 8255/144, 
  -27/8, -4715/192, -2639/64, 228947/4800, -35717/480, 58061/1440, -1145/96, 
  829/32, -923/96, 269/48, -2095/96, 1135/48, -865/32, 545/48, -671/96, 
  1435/48, 113/6, -53/8, -863/72, -781/48, -9025/96, 5585/288, -217/8, 499/4, 
  823/144, -187/36, -411/8, -24797/144, -23/48, -4992373/21600, -54991/2160, 
  3057799/7200, -1167/16, 1091/48, -411/32, -8221/96, 183/8, 8903/48, 
  557/144, 1163/48, -929/12, -511859/576, 2429/192, 143711/1600, 204611/1440, 
  517637/7200, -229/4, 2077/48, 211/12, 8/3, -463/16, 70/3, 73/6, 1039/24, 
  -1541/48, 581/24, 47/12, 61/16, 4/9, 0, 61/16, 4/9, 0, 2917/384, 461/72, 
  -6485/648, 509969/28800, 1939/540, 1233913/43200, 0, 0, 1769/48, 183/8, 
  -305/24, 16/3, 32/9, -1345/36, -16/3, 42589/4608, 8272879/345600, 
  -193193/17280, -6961/600, 0, 183/8, 0, 32/9, -427/12, -16/3, -365/48, 
  4691/1536, -1645/128, -26419/1152, 94303/4608, 31/24, 4, -259/48, 
  -8761/576, 1483/128, -3455/256, 4477331/57600, -121633/9600, 9/8, 3383/96, 
  362267/5760, -24701/384, -135/32, -31/24, 11/2, -66439/1152, -85727/5760, 
  1452779/28800, 23/12, -23/4, 17327/144, -5/8, -7/2, -84169/3600, 2, 
  -14183/1152, 21/16, -15971/768, 249245/2304, -5/8, 5251/384, -122461/1152, 
  7/16, 1/2, 7451/1152, 2179/2304, -19315/576, 112685/2304, 1, 3/2, 1697/72, 
  -5/4, 14183/1152, -1571/192, 227/48, 187/12, -403/24, -5051/576, 477/64, 
  -5413/96, 4151/1152, 1319/192, -17/24, -3067/192, 1/4, -1265/96, -97/8, 
  4039/384, -17161/1152, 97/8, -6271/384, 32341/1152, 89/16, -3/2, 419/12, 
  8149/1152, -1783/48, 12707/1152, 7/4, 1/2, 2969/96, -1/2, 1585/96, -83/6, 
  3619/96, -8/3, 259/24, 141/32, 391/24, 8, -251/12, 13/24, 17/24, -25/24, 
  -1/4, -487/48, -4999/384, 90361/1152, 7999/384, -78673/1152, -121/16, 1/4, 
  1/2, -30313/1152, -1/2, 52489/1152, -1/2, 1/2, -233/64, -5/6, -75/64, 
  37/24, 335/24, 1187/96, 97/16, 5/6, -37/24, -61/16, -305/48, 1/4, 
  -50881/1152, 9433/384, 215/96, 700667/9600, -3553/192, -1/4, 1223/1440, 
  -935/128, 1/2, 61/16, 61/16, 38855/288, -696611/7200, -189481/1152, 
  -5639/720, 308801/1920, 1177/192, -26311/2304, -779/32, -10837/256, 
  1081729/19200, 1475/32, -700387/9600, -349133/3200, -3, 1735/192, 1/2, 
  1237/48, -127615/2304, -4859/192, 0, -115/16, -391/32, 3, -2101/192, 
  -13949/2304, -415/18, -11983/384, 136543/5760, 2197819/9600, 489/32, 
  -1613/256, 21875/192, -1109/192, -253/48, -424921/14400, -16177/200, 
  -41/48, -15/16, 22919/1440, 23651/960, 10771/192, 391/60, 638903/2880, 
  144233/288, 63037/360, -55439/720, 9151/160, 281/80, -291193/720, 
  -1691917/2880, 38929/360, -144163/720, 588731/1440, -787/45, -16457/2880, 
  -24797/288, -48391/2880, -6167821/17280, -6405709/28800, -12697/2880, 
  847/16, 97711/320, 77111/1440, 36877/1152, -360479/9600, 454501/3600, 
  -5837/240, 316823/14400, -157/48, -1061/288, 0, 235/32, -2165/384, 
  1983221/28800, -835/32, -180041/2400, 329933/3200, 539/32, -3/4, 161/48, 
  8807/240, 2353/64, -23/8, 93/32, -557/48, 1507/144, -6431/288, 16691/384, 
  1835983/28800, -2140469/9600, -521/96, -4567/72, -13735/96, 131/16, 
  -903/16, -337223/3600, 557323/4800, 861/16, -1, -1/4, 13/16, -7709/576, 0, 
  1111/48, 17197/288, -345133/4800, -13/8, 91/12, -2419/192, -19/16, 31/16, 
  8573/576, 0, 3587/144, 1476917/14400, 2024333/7200, 11/8, -85/12, 
  33643/288, 19/16, -18301/288, -2115367/14400, -4365413/14400, -60029/576, 
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  -6, -3, 6, 42, 29/2, -63/2, -6, 301/4, 43/2, -173/4, -39, 87/4, -69/2, -1, 
  73/2, -5, 27/2, 87/2, -51/2, -63/2, 27, 61, -6, -89/2, -6, 10, -551/6, 
  -727/2, 1477/6, 7/4, 5/4, 293/4, 271/4, -6, -15, -53/4, -295/4, 53/4, 
  -121/2, -123, -535/2, 123, 491/2, 7/4, 131/4, -27/4, -89/4, -147/4, 69/4, 
  -63/4, -27, -147/4, 99/4, -9/2, 1, 3, 7, 3, -1, -1/2, -3/4, 1, 7/2, -3/4, 
  -3/2, -3/4, 0, 3/4, 0, -3, 33/2, 61/2, 3, -57/2, -44, 21/2, 3, 6, -24, 
  -27/4, 245/4, -3, 0, 6, 0, 0, 5/2, 55/4, 6, -15/2, -3/2, -3/2, -269/4, 3/2, 
  1/2, -3, 3/2, 1/2, 2, -9/2, -11/2, -20, 9/2, 27/4, 18, -7/4, -9/4, 29/4, 
  61/4, -7/4, -53/4, 3/4, -3/4, 4, 1, 13/4, -9/4, -63/4, -9/2, 9/4, -15/4, 
  9/4, 36, 1/2, -2, 2, 2, -1/2, -443/24, 1/2, -279/4, 425/12, -1/2, 575/4, 
  -407/24, -147/2, -3, -5, 205/24, 23/4, -175/24, 2, -11/2, 1031/24, 9/8, 
  -2783/24, -9/8, 73, -209/24, 85/24, -3/2, 3/2, -3/2, -15/2, -3/2, 87/8, 
  -241/4, -31/4, 3/2, 3, -1/2, 11/4, -69/4, 19/2, 0, 39/2, 13/2, -7, -3, 
  -15/4, 0, 87/4, 15/2, -51/4, 3/2, -3/2, -13/2, 3/2, 1/2, -19/2, -5/4, -24, 
  -21/2, 6, 9/4, 25/4, 109/4, -9/4, 27/4, 10, 15/2, -17/2, -35/4, 1, 1/4, 
  -9/4, -17/4, -10, 3/4, -3/2, 3, 1/2, 49/4, -7/4, -1, -6, 23/2, 0, 1, 3/2, 
  17/4, 51/4, 23/6, -3/2, -25/4, -17/8, 3, -1/2, -11/2, -163/24, 25/8, 13/8, 
  5, 1/4, -3/2, 1/4, -385/24, -23/15, 5, 2393/600, -7/2, -47/8, 9/8, 6, 
  1229/60, 1571/72, 1/4, -15/8, -37/4, 63/8, 55/8, 329/18, 983/120, 3/2, 
  -1/8, 19/8, -2219/72, 29/8, -9/4, -35/4, -5, -4, -1/2, 1/2, 0, 1/4, -5/2, 
  9/4, -45/8, -59/12, -6, 17/8, -7/4, 11/2, 11/4, -8, -1/2, -6, 53/24, 41/6, 
  -9/4, 3/8, 83/4, -5/4, 5/2, 1, 19/4, -5, -5/2, -39/4, -569/24, 14313/200, 
  13/2, 11/2, 4115/72, 31/4, 39/4, 871/36, 713/24, 943/120, -14013/200, -5, 
  -23713/360, -4259/72, -29/4, -871/36, -97543/600, -1183/120, 23353/360, 
  97543/600, 1, 17/4, -1, 1/4, 3/2, -12, 2, -5, 0, 7/2, 0, -1/4, -1/4, 5, 
  -11/2, -6, -3/4, -1/4, -8, -1/4, -3/2, 7/2, -3/2, 8, 8, -3/2, 7, 1/2, 
  -19/2, -11/2, 3/2, 1, 2, -1/2, 1, 0, -79/8, -11/4, -25/4, 25/8, 7/4, -1/2, 
  7/2, 1/2, 3, -3/8, 3, 17/2, 1/4, 3, 31/8, 71/8, -3/4, 21/8, 9/4, 23/8, 
  161/8, -7, -9, -15/4, -26, -13/8, -111/8, 10, 3/2, 89/24, 1/4, -1/4, 
  -77/24, -7/2, 1/2, -2, -3/4, 5/4, 161/24, -1/2, 7/2, 1/2, -7/4, 3/2, 3/4, 
  -89/24, -65/36, -5/4, 18, -22/9, -9, 53/24, -3/4, 13/9, 1, 14/9, 2, 19/2, 
  -65/36, -1/2, -1/2, 1, 2, 3/2, 1/4, 0, -7/4, -9/8, -3/16, 2, -2, -11/4, 
  3/2, 11/8, 0, -4, 1/4, 0, 0, -21/2, -151/12, -49/2, -5/6, 151/12, 28, 34/3, 
  -7/2, 5/4, 139/12, 51/2, -11/12, -95/6, -1/2, -25/6, 391/24, 15/4, 1/2, 4, 
  5/12, -39/8, -671/24, -20/3, 41/12, 13/6, -1, 25/8, 51/8, -41/6, -5/2, 
  31/4, 33/4, 625/24, -9/4, 161/24, 18, -74/9, -6, 263/8, 313/72, -329/24, 
  -103/4, 9/2, -439/72, 4, 29/8, -17/2, 63/8, -343/6, 3, 11, -163/3, -19, 
  -2473/12, 371/24, 15, -9, -3, 157, 5/2, -37/6, 5/6, -2/3, -11/2, -7/9, 
  -2/3, 16/9, 25/6, 2/9, -2, -4, 39/4, 21/2, -171/8, -87/8, -499/6, 
  14631/100, 649/120, -2413/300, -3, 553/8, -3/2, 5323/24, -3681/40, 
  -69977/300, 39/4, 51/4, -5089/120, -9/2, -2561/12, 16231/100, 1753/10, 
  -2741/120, -3313/300, -33/8, -27/2, 33/4, -189/4, -63/4, 27, 345/8, -15/4, 
  -27, -33/2, 0, 123/2, 33/2, 0, 9/2, -43, 6, -521/2, 16, 509/2, -189/4, -27, 
  82, -3/2, 571/4, 9, -865/4, -337/4, -27/2, -129/4, -1633/8, -24, 775/16, 
  289/4, 135/16, -103/2, -407/12, 17/2, -171/8, -287/8, 187/4, 287/8, -203/8, 
  999/8, 39/4, -247/2, 6, 145/4, -27/2, -487/8, 127/4, 0, 181/8, -27/2, 
  693/8, 24, -289/8, 1787/8, 761/2, -869/8, 239/8, -6, 71, -2593/8, 1/2, -4, 
  241/24, 3757/200, 45/4, 403/60, -75/8, 51/8, -1949/120, 5/8, 7/4, -21/4, 
  1/4, 9/2, -15/4, 181/4, 21/4, 123/2, 39/4, -135/4, -91/4, -14, -63/4, 
  -87/2, 39/2, 15/4, -4049/16, -115/2, 47/8, -2827/5, -35/2, -3/2, 2267/16, 
  -5/4, -3/2, 4049/16, 4393/8, 8476/15, -2467/16, -3933/8, -7/4, -49/4, -9, 
  -39/4, -95/6, -13/24, 1, 29/2, 35/2, 29/2, 33, 32/3, -149/24, -15/4, 73/24, 
  -69/4, 1027/24, 89/4, 283/24, 1049/75, 307/300, 77/4, -23, 289/5, -5/4, 
  -207/8, -27853/300, -191/25, -1391/20, -13/10, -149/4, 89/24, 531/8, 
  -1793/12, 26779/300, 43531/150, 31/2, -109/2, 13507/72, 29, 10627/72, 
  -23297/300, 29459/600, -44471/360, -292649/600, 319/8, 3/4, -77/4, -471/8, 
  -21/4, -1107/8, 25/4, 21/4, -6, -49/4, -19/4, 5, 165/8, 3859/16, -89/8, 
  153/4, 1803/4, -4283/16, -1593/16, -1803/4, 1811/16, -173/6, -1867/6, -24, 
  3713/12, -1/12, -151/8, 33/8, 7/2, -647/8, -157/8, 42489/200, -25/8, -79/8, 
  4961/24, 29, -2861/16, -323/6, -22683/40, -4947/80, 62/75, 0, 0, 0, 0, -1, 
  -1, 1, 1, 2, 1, -1, -1, 1, -1, -1, 0, 0, -5, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, -1/2, 0, -1, -2, 
  1, 2, 4, 3, -2, -3, -1, 1, 2, 3, -1, -3, -1, 0, 0, 0, -1/2, -1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, -5/2, 0, 1/2, 0, 0, -1/2, -1/4, 11/8, -1, -9/4, 1, 9/8, 3/8, 
  0, -3/2, 4, 11/8, 0, 0, 1/8, -1/8, 1/4, -9/8, 4, 9/8, -1/8, 0, 1/4, -1/8, 
  -5, 0, 0, 0, -5/2, 0, 0, 0, 0, 0, 0, 5/2, 0, 0, -1/2, -1/2, 0, 1/2, -1, -1, 
  1, 1, 1, 3, 2, -1, -2, 49/4, 8, -49/4, -8, -33/2, -4, 33/4, 17/4, 4, -4, 1, 
  2, -2, -1, -4, -1, 5, 4, 1/4, 1/4, 11/8, 7/2, -13/8, 13/8, 9/8, -1/8, 0, 
  -1/8, 3/4, 3/4, -1/8, -1/8, -31/4, -9/2, 47/4, 17/2, 5, 8, 1/2, -35/4, 
  -1/4, -7/2, -1, 7/2, 1/4, -5/8, 4, 13/8, -1/8, 0, 1/4, -1/2, -1/8, 0, -1/4, 
  -29/4, 5/8, -21/4, -9/8, 59/8, 1/2, -7/2, -3/8, 29/4, 5/4, -1/2, -1, 1, 2, 
  3, 4, -1, -4, 1/2, 8, -7/4, -15/2, 5/4, -17, -8, 29/4, 37/4, -29/4, -5/4, 
  1/4, 3/2, -9/8, 5/2, 9/8, -1/8, 0, 1/4, -1/8, -1/2, -9/2, 1/2, 1/4, 3/2, 
  -5/8, 5/2, 9/8, -1/8, 0, 1/4, 0, -1/8, -29/8, -1/2, -7/4, -55/8, 1/4, 29/8, 
  3/4, 25/8, -1/4, 29/8, 1/2, 5/8, -31/8, -1/2, -9/8, 1/4, 1/2, -1, 1, 2, 1, 
  1, -1, 3/4, 8, -23/8, 3/2, 19/8, -25/2, -5/8, -4, -79/8, -25/2, 53/8, -1/4, 
  0, 35/4, 1/8, -29/4, -5/4, 45/4, 5/4, -4, 2, 1, -1, -1/4, -4, 1/8, -12, 
  -9/8, 1/8, 0, 35/4, 1/8, 4, 9, -4, 1, -11/2, -25/4, 9/2, 9/2, -9/2, 0, 
  -3/4, -1/2, 1/2, 1/4, -1/4, 1/4, -19/4, -1/4, 0, 5, 1/2, -6, -1/2, -1/4, 0, 
  0, 1181/72, 1151/72, 0, 0, -1331/72, 0, -1/4, -135/4, 1/4, 7/16, -11/16, 
  9/8, 337/48, -45/4, -153299/3600, 28489/1200, -9/2, -161/144, 25/8, 
  -2095/144, 1459/72, 2129/360, -151/18, -40007/3600, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 1/2, 0, -1/2, 0, -1/2, 0, 11/2, 21/4, 21/32, -157/16, -25/2, -13/32, 
  113/8, 19/16, -21/32, 473/32, -25/2, -121/32, -159/32, 1/2, -413/16, 105/8, 
  -21/2, -13/16, 157/8, -69/8, -69/8, -1/2, 0, -351/16, -151/16, 0, 325/96, 
  -63/4, 201/32, 151/32, -151/16, -17/32, 159/32, -24721/288, 1129/48, 
  -11891/144, -71/6, 29/32, 35989/288, 183/32, 24721/288, 173/16, 665/24, 
  -6547/72, -173/16, -13/16, 157/8, -13/16, 105/8, -21/2, -69/8, -69/8, 
  13/16, -473/16, 49/16, 69/8, 159/16, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 
  0, 1/2, 0, 3/20, -11/15, 37/30, 1/5, -25/48, -17/60, -9/10, -9/20, -1, 0, 
  7/12, 5/4, 11/5, 2, -101/60, -37/10, -1/5, 13/48, -7/15, 33/20, 0, -1/15, 
  2/5, 71/180, 31/30, 0, 2/15, -149/180, 0, 1/15, -2/5, -139/180, -31/180, 
  -1/5, -9/16, 0, 0, 3/20, -37/160, 19/20, -13/4, 35/4, -11/2, 13/2, -35/4, 
  -13/4, 7/2, 1/4, -9, -1/4, 11/2, -7, -1/4, 9, 7/2, 0, 0, 0, -5, 0, 0, 7/2, 
  1/4, -9, -1/4, 11/2, -7, -1/4, 9, 7/2, 0, 0, 0, -33/4, 33/4, -7/2, -1/4, 
  11/4, 7/2, -961/144, 2165/144, -13931/300, -2623/80, 8239/360, 0, 0, 0, 0, 
  -5, 0, 0, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 1/2, 1/4, -1/4, -1/4, 0, 0, 
  -7/4, 7/4, 5/2, -7/2, -7/4, 9/4, 0, -3, -3/4, 13/2, -9/4, -1/2, 1/2, 7/2, 
  5, -1, 18, -3/2, -18, 5/2, 15/4, 13/4, 6, -2, 205/8, 0, 45/4, 21/4, 0, -1, 
  18, -3/2, -18, 5/2, 13/4, 13/4, 13/2, -2, 205/8, 0, 59/4, 21/4, 0, 0, 0, 5, 
  0, 0, 1, 1/2, -1, -1/2, -1, 1/2, 1, 1/4, 1/4, -1/4, 1, -1, -1, 1/2, 1, 1/4, 
  1/4, -1/4, -5/4, 1/4, -6, -3/4, -1/2, 6, 0, 21/2, -199/12, 323/24, 515/24, 
  -229/12, -13, 149/12, -197/24, -5/4, 7199/12, -94669/180, 3051767/3600, 6, 
  3/4, 1/2, -6, 0, 0, 0, 0, 0, 0, 0, 1, -11/12, -23/12, 23/12, 85363/864, 
  9859/864, -458671/10800, 301/160, 770771/7200, -3/2, 3/2, 3/2, -1/4, 19/4, 
  1/4, 0, -14543/144, 253/32, -7/2, 17327/144, -1/4, 59, 1/4, 15/2, 0, 
  -1141/48, 1541/36, 34/3, -7/2, -12875/144, -15/2, 0, -1665/32, 4, 0, -1, 1, 
  1, -1, 0, 0, 0, 0, -1/2, -137/12, 0, 1/2, 697/18, 0, 0, 0, 875/36, 3, 0, 
  1/2, 11/4, -230/9, 0, -11/4, 0, 1/2, 0, 197/12, 0, 0, -1/2, -697/18, 0, 0, 
  0, -875/36, -1, 0, 0, -1/2, -3/4, 230/9, 0, 3/4, 0, 0, 0, -2, 1, -1/2, 
  -1/2, -13/16, 157/8, -13/16, 105/8, -21/2, -69/8, -69/8, 11/2, 13/16, 
  -473/16, 49/16, 111/8, 159/16, -335/32, 1525/96, -63/4, 243/16, -199/32, 0, 
  -11/2, 49/16, -25/32, 159/16, -6115/72, -335/32, 1273/48, -8579/144, -71/6, 
  0, 283/16, 29365/288, -3/2, 6115/72, 907/32, 713/24, -30445/288, -143/8, 0, 
  -335/32, 0, 1525/96, -83/4, 243/16, -199/32, 0, -11/2, 49/16, -25/32, 
  159/16, -6115/72, -335/32, 1177/48, -8579/144, -71/6, 0, 235/16, 29365/288, 
  3/2, 6115/72, 811/32, 713/24, -28717/288, -119/8, 1, -4, -1, -1, 0, 1, 0, 
  1, -1, 3/2, 5/2, 0, -67/90, 43/160, 0, 46/15, 1333/360, 0, 121/48, 
  2867/1440, -509/180, 23/20, 9/20, 31/20, 58/15, 0, -7/15, -71/15, 
  -15979/1440, -8, -54/5, 77/120, 12, -191/80, 0, -449/480, 389/60, 3/20, 
  -9/20, 1/15, -2/5, 7/20, -23/15, 757/160, 0, -16/5, -29/16, 0, -39/16, 2/5, 
  -19/20, 3, -31/20, -19/5, -2/5, 49/60, 21/5, 1949/180, 8, 38/5, -1099/240, 
  -12, -7/20, 2/5, -53/96, -209/60, -41/20, -1/15, 2/5, -7/20, 23/15, 
  123/160, 0, 16/5, 47/16, -4, 39/16, -2/5, 19/20, -7/2, -1/2, 5, 33/4, -8, 
  3/4, 21/2, 0, -5, 8, 0, 0, 0, 0, 0, 0, -23/2, -33/4, 17, 33/4, -11/2, 23, 
  33/4, -17, -23/2, 0, 0, 0, 0, -5/2, 29/4, 5/2, -29/4, 0, 13/2, -1/2, -5, 
  -4, 1, 9, -9/4, -1, 0, 0, 5, 33/4, -17, -33/4, 21/2, 0, -5, 17, 0, 0, 0, 0, 
  0, 33/4, 6, 0, -5, 5, 0, 0, -33/4, 11/2, 1/2, 1/2, -5/2, 7/4, 5/2, -7/4, 0, 
  1/2, -13/4, 1/2, 2, -5, 3/4, 13/4, 5, 0, -4, 1/2, 69/4, 1/2, -131/8, -1/2, 
  131/8, 2, 3/2, -2, -3/2, 16, -1, -81/4, 5/2, 71/4, 2, 3/2, -2, -3/2, 16, 
  -1, -81/4, 5/2, 71/4, -1, 10, 5/2, -13/2, 5/2, 13/4, 11/4, -11/2, -3/2, 
  131/8, -69/4, 93/8, 15, 1/2, -1, 10, -3/2, -9/2, 5/2, 13/4, 11/4, -7, -3/2, 
  269/8, -73/4, -51/8, 33/2, 37/2, 1, 3/2, -1, -3/2, -2, 1, 2, 1/2, 1/2, 
  -1/4, -3/2, 1/4, -25/4, 83/3, -5/2, -151/6, -1, 0, 25/4, -221/6, 5/2, 55/6, 
  55/6, -1, 23/12, -3/2, -3/2, -23/12, 3/2, 9/4, -83/3, 7/12, 29/3, 55/6, -4, 
  4, 4, 45/4, -587/18, -83/3, 323/24, 905/72, -217/12, -55/4, 451/12, 13/72, 
  -5/4, 22153/54, -5423/216, -2162141/5400, 1453/120, 1116553/1800, 25/4, 
  -83/3, 7/2, 151/6, -3, 0, -25/4, 221/6, -7/2, -55/6, -55/6, 1, -23/12, 
  -3/2, -3/2, 23/12, 3/2, 11/12, -1/2, -7/4, 1/4, -3, 7/4, -1/4, 29/8, 25/16, 
  1/8, -17, -123937/1800, 86867/2400, -1/8, -3, 3721/144, 929/32, 73/16, 
  -29/8, -1/2, -37/6, 1441/48, 130171/7200, 4, 1/2, -1321/36, -1/8, 1/2, 
  -40007/2400, -3/8, -25765/288, -3/2, 391/96, 21/8, 77/8, -9/8, -1/2, 
  28627/288, -1193/96, 28717/288, 41/24, 7/4, 0, -4205/36, -5/4, 25765/288, 
  177/16, 43/48, -3/2, -1702/9, -169/16, -1885/48, 27115/288, -177/16, 1/2, 
  497/32, -1/5, 179/288, 1, 749/144, 1183/144, 16/5, -371/30, -1301/90, 
  1679/180, -1/5, -3, 33/20, 7/2, 1/2, 3/4, 0, -29/8, -1, 21/4, 1, -19/8, 
  -9/8, 0, -3/2, -21/4, 35/8, 0, 0, 41/8, 3/8, 0, 0, 9/2, 3/2, 3, -1/2, -3, 
  -3, 2, -2, -3/2, -1/4, -21/8, 77/4, 11/4, -77/4, 1/8, 3/2, 13/8, -4, 9/8, 
  49/4, -7/8, -5/8, 349/16, 0, 11, 0, 121/16, -47/8, -51/4, 0, 0, 4, 2, 43/8, 
  527/48, -73/16, -149/12, -27/4, 149/24, 83/16, -1/2, -4, 42593/216, 
  -7619/432, -1910741/10800, 12769/720, 1119253/3600, 7/2, -1/2, 5/4, -7/2, 
  1/2, 29/8, 1/2, -1/4, 0, 0, -1111/48, 3073/72, 257/24, -1/4, 15/4, -3/2, 
  -12425/144, -1/8, -29/8, -1/2, -25/8, 1/4, -1777/32, 31/8, 1/2, -33/8, 
  -1/4, -1/4, -1/2, -8, 1099/24, -22579/144, -1655/24, 23731/144, 139/6, 4, 
  25591/144, 23731/288, -13979/72, 3/4, -14633/144, 8, 0, 2375/32, 1/2, 
  -1817/16, -17/2, -1/4, -1649/32, 1/2, 0, -1/2, 1/4, 1/2, 19/4, -1165/48, 
  23731/288, 145/12, 1/4, 3/4, -14669/144, -4, -1/4, -1649/32, 1/2, 1/4, 
  -1/4, -1/4, -107/12, 0, 0, -1, -1/4, 649/36, 172/9, -1/4, -1/4, 1/4, 5/4, 
  -679/36, 1/4, -1/4, 1/8, 1/8, 151/16, -959/144, 0, 0, 0, 0, 1/2, -3/8, 
  -1541/36, -563/48, 1/8, 1/8, 1/8, 1/8, 5423/144, -1/8, -5/8, -13/16, 
  -119/12, -1/8, -33/16, -383/144, 773/24, 19, 515083/7200, -29689/800, 5/2, 
  1/4, 51/8, -3947/288, -4615/288, -23/16, -73/16, 69/8, 533/36, -1477/144, 
  2609/144, -54199/800, 185081/7200, -33/4, -119/36, 7525/144, 1/8, 89/16, 
  40007/7200, 46757/2400, -93/16, -3/8, -15/16, -119/12, -1/8, 7, 379/12, 
  -9763/800, 5/2, 1/4, -3839/288, -2, -23/16, -3/16, 3215/144, -1387/144, 
  17/4, 9607/7200, -26489/2400, -5, -41/9, 197/32, -17/16, -703/144, 
  -11881/2400, 27011/7200, 995/72, 40007/7200, -50747/288, -19519/288, 
  993/16, -7305/32, -23605/288, -223/8, 349/24, -9/8, -3/2, 53105/288, 0, 
  1021/4, 13193/48, -77/24, 3/4, -2, -15299/72, 3/4, 50747/288, 22489/288, 
  -5/4, 1411/24, 157/32, -9/4, -104437/288, -31255/288, -3745/96, 56183/288, 
  -165/16, 7/4, 3/2, 467/16, -1/2, -33/8, 6349/72, -1/4, 355/24, 24937/288, 
  13/8, 725/24, -9/8, 1/2, 0, -69/16, -6961/72, -171/8, -5/4, -33/4, 33/8, 
  -13319/144, -3/4, -283/16, -823/32, 1/4, -53/16, 8495/144, 465/32, 25/8, 
  69/16, -1/4, 0, 339/32, 1, 47/4, 8, -1/4, -1105/16, 6529/32, 23731/144, 
  255/8, 571/24, 9/8, -61/8, 1/4, -4019/16, -51629/144, -257/12, -1/8, 
  1792/9, -55319/288, -48443/288, -5/2, -3023/48, -201/8, 5, 110539/288, 
  50693/288, 1165/24, -56579/288, 61/8, 0, -2, -403/32, 1, 3/4, 33/4, -1/4, 
  -563/12, 23875/144, 577/24, -1/2, -65/8, 1/4, 1075/24, -51881/144, -275/12, 
  -1/4, -1/8, 14309/72, -3/4, -95/4, -9/4, 91/8, -319/8, -59/8, 27079/144, 
  50693/288, 1219/24, -55751/288, 31/2, 3, 12, -723/32, -1/2, -41/12, 521/60, 
  61/60, -221/60, -31/12, 0, 0, 1891/720, 6103/720, 48/5, 491/480, 169/96, 
  -301/360, -4129/360, -10417/720, 1949/180, -389/40, -1931/90, -5/8, 
  -109/60, 766/45, 0, 1589/180, 61/360, 11/20, -6383/1440, -17659/1440, 
  -563/120, -4151/2880, -2897/576, 5/9, -91/20, 269/720, 3487/360, -4/5, 
  -29/90, 8, 3169/360, -2113/720, -4, 0, 311/288, 1853/1440, -299/120, 
  -2221/2880, -2759/2880, -3319/360, 10649/720, 1549/60, -3761/288, -11/20, 
  -631/720, 319/360, -13/720, 839/120, -17131/1440, 4, 2809/360, 3829/720, 
  -8, -6749/720, -11161/1440, 337/20, 6827/240, -15/4, -363/20, 5, -277/20, 
  -125/36, 11/5, -1/4, 3/2, 103/4, 13/8, -2, -103/4, -15/4, 1/2, 19/8, -3/8, 
  -10, -57/4, 10, 125/4, -47/8, 3/2, 17/2, -93/8, -7/8, 181/8, 1933/72, 
  -961/36, -89/4, 13331/150, -4, -125/4, 2403/40, 65/4, 69/8, 13/2, 
  -8239/180, 5/2, -13/2, 1/2, -3/4, 1/2, -1/4, 27/8, 51/4, 27/8, 5/8, -19/8, 
  3/8, 0, -5/8, -35/4, 29/4, 3/8, 7/8, -53/8, -2797/144, 2327/144, 47/2, 
  -2789/75, 3/2, 15/4, -2163/80, -41/2, 23/8, -5, 7699/360, -1, 5, -1, 1/4, 
  2, 33/2, -39/8, -7/2, -33/2, 23/4, 3/2, -9/8, -3/8, -9/2, -15/4, 2, 33/4, 
  -31/8, 0, 5/2, 23/8, 1/8, 23, 2653/144, -2165/144, -97/4, 5053/150, -5, 
  -24, 2643/80, 57/4, 1, 10, -8239/360, 2, -10, -7/4, 51/4, 5/4, -51/4, 1/2, 
  -1/4, -2, -15/4, 31/8, 13/2, -13/8, 1/8, 5/2, 3/4, 1/8, 3/4, 817/144, 
  -2165/144, -29/8, 5653/150, 19/8, -101/8, 2943/80, 73/4, -9/8, -13/4, 
  -8239/360, -5/2, -39/4, -3/4, 1/2, 5/2, -1/2, -7/4, 1/2, -1/2, -2, -45/4, 
  1/2, 43/4, 2, 1/2, 3/2, -9, 0, -3/4, 49/4, 1/2, 21/8, -21/2, -13/8, 7/4, 
  5/8, 0, -5/8, 8, -29/2, 1, 81/16, -13/4, -39/16, -9/4, -29/8, 79/8, 5/8, 
  -37/16, -5/4, 65/16, -55/8, -3/2, 1, 2, -2, -1, 3/2, 1, -165/8, -299/16, 
  75/2, 247/16, -161/8, 45/4, -13/4, -79/16, 11/8, -601/16, 0, 5, -9/16, 0, 
  1, -1, 3/2, 1, 1/2, -299/16, 33/8, 239/16, -35/8, 41/4, -13/4, -79/16, 
  11/8, -287/16, 0, -47/4, -9/16, 0, -3/4, 15/4, 41/6, 3/4, -11/4, -41/6, 6, 
  3/2, -7/4, 13/4, -52/3, -6, -3/4, -52/3, 43/8, -149/18, 371/48, -3593/144, 
  -131/12, -27/4, 149/24, 11/4, 3323/144, -1/2, -1/2, 0, -43/8, 469/24, 
  -7331/144, -431/48, -19067/450, 89/12, -1/2, 10897/720, 485/144, 1, 
  -811/72, 53363/400, 27929/400, -20767/720, -18562/225, 11/6, 3/4, -2, 
  -29/6, -35/6, -1/2, -13/4, 2, 35/6, 5/2, -45/4, -87263/288, -9859/288, 
  -38/3, 143557/1200, 365/24, 103495/864, -9983/2160, -441271/10800, 
  4529/1440, -84121/288, -1039219/3600, 1489009/3600, 441053/3600, 
  -3793021/7200, 3/4, -1/2, -35/6, 3/4, 35/6, -3/2, -6, -3/2, -1/4, 259/36, 
  -7/4, -67/36, 6, 3/4, -49/36, 1/4, 13/2, -1111/48, 22075/288, 263/24, 3/8, 
  3/4, -14453/144, 1/8, -23/4, 1/4, -1529/32, 9/4, -1/4, -11/8, -571/48, 
  -1/4, 51/4, 3035/48, -10063/400, 19/4, 1/2, -283/18, -25/8, 1/2, 2437/144, 
  -1405/72, -24097/1200, -1/4, 1/4, -1595/144, -425/18, 1/4, -1/2, -9/2, 
  40007/3600, -1/4, -1/2, 841/36, -1/4, 1/4, 3/4, 33/4, -1/4, -1027/48, 
  24523/288, 115/12, -12, 9/8, 1/8, 0, -14723/144, -3/4, -1, 91/4, 0, -1/8, 
  -5/8, -8, -3/4, -161/8, -5/2, 87/8, -359/16, 3/2, -59/8, 45/8, 17/8, 61/4, 
  -1/4, -7, -15/2, 3/2, -1/2, 0, 7, -7/8, 95/8, 13/4, 91/8, -1/2, -137/8, 
  -7/2, -107/8, 21/4, -1/2, 2, 0, 311/288, -241/720, -299/120, -1, 
  -2221/2880, -5039/2880, -1969/360, 10649/720, 421/15, -5/2, -3761/288, 
  -9/8, 0, -187/48, -425/72, 26/5, 4403/1440, 11447/1440, 1429/180, 
  -38573/720, -842/15, 3761/144, 0, 1229/360, 0, -257/240, -253/24, 3455/72, 
  0, 0, -481/360, 0, -7037/720, -11161/1440, 337/20, 3, 217/160, -515/48, 
  -9/8, 43/4, 15491/360, 2653/720, -337/10, 1267/480, 791/24, -9/4, 
  -6301/120, 733/30, -2569/240, 133/12, 81/20, -277/20, -11/4, 9/2, -497/90, 
  122/5, -27/2, -232/45, 11/5, -1/2, -22/5, -3/4, 3, 25/8, -1/2, -19/4, -5/2, 
  19/8, 3/8, 0, -1/2, 25/8, 25/4, 6, -23/4, -7/2, 3/8, -1/2, -27/8, 11/2, 1, 
  3/4, 3/8, -23/8, -3/2, -9/2, 19/8, -57/8, -5/8, 4, 4, 13/4, 5, -1/4, 0, 
  -21/2, 1/8, -15/8, -2, -15/8, 2, -23/8, 1/2, 11/8, 19/4, -1/2, 1, -1, -3/4, 
  1/2, 7/4, 1/2, -1/2, -79/16, 19/4, -33/16, -17/4, 25/4, -9/8, -13/8, 
  145/16, -1/2, -61/4, 5/4, -1/2, -115/8, 0, -67/16, -25/16, 27/2, 0, 1/2, 
  1/4, -35/9, -19/4, -53/18, -1/4, 11/4, 53/18, -4, -3, -1/4, -45/8, 
  -86743/864, -9859/864, -281/48, 112849/2700, 157/24, 55/8, -1881/160, 
  703/144, 5/8, 4, 1/2, -84589/864, -106093/1350, 169357/1080, -5603/480, 
  -97889/480, -3/2, -9/2, -907/16, 9/2, 931/16, 15/2, 21/4, 835/16, -6, 0, 0, 
  -3/4, -111/16, 0, 599/16, 0, -61/2, 9, -89/4, 0, 0, -3/2, 2611/192, 
  -256007/720, 4737/800, 2250101/14400, -19/8, 797/16, -2111/144, -913/144, 
  -13453/3600, 55711/1800, 1/4, -2307/80, -4633/720, 0, -5801/144, 
  -10309/360, -22/5, 5225/144, 11/8, 3, 59837/450, -19/4, -3/2, 2645/48, 
  25/8, 63/16, 1133/450, -1083/16, -1261/16, 13079/3600, -9/8, -101191/144, 
  -2605/72, 21/2, -27889/1200, 9/2, -25/8, 102275/144, -2367223/3600, 
  92767/1800, 3649/144, 82151/120, -8663/144, -347/48, -29/4, 3031/12, 
  7613/288, -56777/288, 1754/9, 25/2, -59287/288, 159/32, 2339/36, 19141/288, 
  -1, -14129/144, 632557/7200, 59/6, -53483/288, 15/4, -3971/36, 7/2, 
  32573/288, 39053/1200, -19223/144, -17719/288, -377/32, -9/4, 121175/288, 
  7177/144, 753/16, -2257409/7200, -13263/200, -16147/288, 1263/80, 9419/288, 
  54773/288, -116983/288, 2025563/3600, 432169/1440, -20791/360, -378479/600, 
  -547/240, 73/10, -3/10, 2833/320, -7101/320, -9/2, 19/2, 15/2, -19/2, -3, 
  29/4, 13/4, -1/4, -2, 2729/144, 2165/144, -2639/75, -2203/80, 8239/360, 
  21/2, -25/3, 323/24, 317/24, -229/12, -19/2, 38/3, -263/24, -19/4, 
  87349/144, -2165/144, -107888/225, 2623/80, 2969377/3600, 11/2, 0, -9/2, 
  -5/2, 3/2, -13/2, 43, 25/4, -191/4, 6, 6, -49, -6, 13/2, -25/4, -6, 19/4, 
  -27/4, 299/32, 27/4, -451/32, 45/4, 25/4, -963/32, -16, 0, 0, 1/2, 111/32, 
  0, -599/32, 0, 61/4, -9/2, 27/2, 0, 0, -9/4, -103/32, 130871/720, 1099/96, 
  59/24, -62383/360, 0, -9/2, 0, 19/9, 0, 0, -1/2, -271/4, 0, 3/2, 187/16, 
  205/8, -605/16, -503/8, -55/2, -6, -165/8, 275/8, -5, -187/16, -553/16, 
  1169/16, 81/8, 143/16, -473/24, 22993/288, 3341/48, -22993/288, -2395/48, 
  -12803/144, -23209/288, 1057/18, 15641/144, -235/4, -1/4, 235/4, 119/2, 
  1/4, -39/8, -14353/144, 9/2, -50/3, 25597/288, 3745/96, 95/8, 10375/144, 
  -4495/48, 95/8, -5647/24, -1/4, -105/2, 1531/6, 1/4, 425/24, -21769/288, 
  -47/12, 21769/288, -331/24, 12731/144, 21697/288, -17267/144, -15281/144, 
  235/4, 1/4, -235/4, -117/2, -1/4, -431/24, 22309/288, 85/6, -22309/288, 
  91/24, -18227/144, 20257/288, 13691/144, -14849/144, -257/4, 13/2, 361/16, 
  -143/2, 1/4, 53/12, -1, -83/6, 1, 113/12, 3/2, -3/2, 37/6, -167/12, -1, 
  707/24, -1, -31, 569959/3600, -157/32, 13/4, 21/4, -3545/18, -3/2, 
  -3013/48, -15289/600, -8695/96, 5/24, 5/4, 1309/48, -22507/288, -2261/48, 
  22507/288, 119/6, 14057/144, -13049/144, 1, 2075/32, 1/4, -1601/32, 1/2, 
  -1/4, 1129/48, -23371/288, -1757/48, 23371/288, 157/12, 14489/144, 
  -13481/144, 1, 2091/32, 1/4, -1481/32, 1/2, -1/4, 19/4, -5/2, 421/12, 
  35713/288, 425/16, -19/4, 15/4, 3263/96, 41/4, -299663/576, -36419/90, 
  -25/8, -1910983/7200, 16003/1200, -205/8, -41761/360, 7685/18, -7/2, 
  1253029/1728, -4537733/43200, -1288741/21600, -49943/360, 1341823/1600, 
  -1129/24, -449/6, 1685/24, 449/6, -89/4, -62387/864, 42187/864, 
  870133/21600, 150359/1440, 16859/288, -130631/240, -18235/96, 2405941/7200, 
  62263/120, 7/4, 1/2, 1141/48, 449/12, -34/3, 14837/144, -7/4, -9/4, 
  -8119/288, 75/8, 89/24, 79/8, -1181/144, -791/144, -75/16, -75/16, -61/8, 
  7/8, 1277/144, 75/16, -39/8, -155/16, -157/8, -25, -13/16, 113/4, -25/8, 
  147/16, 473/16, -25, -205/16, -159/16, 13/8, -157/4, -3/8, -3071/72, 73/72, 
  69/4, 69/4, 0, -9/8, 385/8, 301/36, -69/4, -71/8, -9521/720, -6119/1440, 
  737/20, 10487/480, 14729/1440, -7597/288, 1061/60, -461/10, -3023/288, 
  2743/180, 57/40, -489/20, 12799/360, 1213/90, -7/20, -143/60, -16957/480, 
  -223/20, 11493/160, 322171/7200, -424613/7200, 19457/720, 1033/30, 
  14267/480, -757/20, 20243/360, -5171/180, 268/45, -3617/360, 46487/1800, 
  -99/8, -9137/288, 35563/1440, 2359/96, 19883/800, 373/3600, 205/16, 
  41927/1440, 61951/1440, -75/16, 2155/48, 9751/720, -279/40, -166/3, -39/8, 
  -25/4, -41/12, -27/4, -821/36, -367/18, 25/8, 25/8, 19/4, 7/4, 1/3, -25/8, 
  13/4, -4, -473/288, -4537/288, 17101/288, -74939/2400, -132127/3600, 55/16, 
  -16217/1440, -12983/480, -25/16, -3319/144, 4819/720, 11549/360, 1331/72, 
  -13/8, -2, -2275/288, -5617/288, 75/4, 48619/1800, -9163/200, 43/8, 
  -12797/1440, -41/3, -79/16, 10337/288, -19441/800, 653/48, 27431/1440, 
  -44039/1800, 0, -1/2, -1067/32, 0, 631/16, 40717/288, 0, -7981/144, -1/2, 
  379/96, 4591/288, -13243/1440, -69611/800, 27/8, -11/4, 553/72, -17/4, 
  -5269/36, -256921/3600, 49429/480, -319/36, -11171/450, -1/2, 379/96, 13, 
  -13243/1440, -31189/1200, 27/8, -11/4, 517/72, -17/4, -8657/96, 
  -258721/3600, -24797/720, -301/36, 5157/100, 0, 158/15, -1, 0, 1/2, 
  -8243/720, 1475/72, 0, 659/720, -81/8, -68461/864, -10773289/21600, 
  -605/24, -5867411/10800, 16363/400, 9, -9059/1440, 1747/48, 35/8, 
  -27361/96, 1721327/3600, -132689/1200, -6257/480, -260351/480, -25/4, 
  -194941/400, -13/2, 1441/144, 7, 0, 25/4, 3614663/3600, 13/2, -6875/144, 
  -930097/1800, -4471/144, 11647/96, 26557/288, -85/12, 7/48, -29/4, 5957/48, 
  -55175/288, 7571/288, -29743/288, 1629/16, -23791/288, 0, -491/4, 9617/288, 
  -487/16, -13565/144, 731557/7200, 59/6, -21733/288, 21/4, -2233/18, -13/2, 
  21433/144, -541207/7200, -20639/144, 1617/32, 17237/288, -9/4, 37537/96, 
  -10121/288, 751/16, -921917/3600, -13163/200, -6863/288, 285169/1440, 
  -913/36, 26761/288, -108419/288, 1768667/2400, 461449/1440, -43573/180, 
  -1296187/1800, 4795/144, -12427/96, -28609/288, -11/12, 29/48, 51/4, 
  -6173/48, 57515/288, -5267/288, 28807/288, -1629/16, 23791/288, 0, 235/2, 
  -31/16, 5843/24, 44447/288, -49/8, -1/3, -7/4, -35/8, -25873/72, 6413/288, 
  -25/8, 1141/144, -10163/72, -49/16, -10949/288, -159/16, 1093/36, 12931/96, 
  30985/288, -617/48, -719/96, 85/4, -6287/48, -59027/288, 631/96, 27619/288, 
  -13403/144, -23791/288, -49/16, 800/9, -159/16, 515/24, 2005/144, 
  32065/288, -1655/48, 740/9, 71/6, 20837/288, -58307/288, -32359/288, 
  26611/288, 3149/36, -18623/144, -713/24, 13451/72, 155/8, -17/8, -1, 9/8, 
  0, 3/2, 7/2, 23/2, -5, -73/8, -8, 109/8, 29/16, -9103/72, -3, -14297/144, 
  826957/7200, 89/6, 43/8, 5/4, -4943/36, 3, 28825/144, -1136507/7200, 
  -23135/144, 1202/9, 19865/144, -943/48, 31075/288, 9/2, 293/24, -25/4, 5/2, 
  -15875/144, -15/2, -25/4, 11/2, -545/4, -7033/72, -161/24, 24271/288, 
  22493/288, -1249/48, 30211/288, 9/2, 187/12, -17/4, 5/2, -14867/144, -15/2, 
  -27/4, 11/2, -255/2, -7645/72, -443/24, 23263/288, 26453/288, 33/2, 
  -23323/144, -59/6, -47/2, 1045/4, 31/3, -14477/144, -33/2, 48451/144, 59/6, 
  -96929/288, -349/2, -9/4, 5921/12, -3509/32, 773/16, -2553809/7200, 
  -13463/200, 149/16, 262507/720, 21635/288, 7/8, -17239/36, 6449051/7200, 
  487849/1440, -406889/1440, -2895649/3600, 1387/24, -195851/864, 
  -153983/864, -185/24, 991783/21600, -235/12, 47915/864, 156089/540, 
  -675883/21600, -143519/1440, 79459/144, 385241/1200, -1218937/3600, 
  -553937/2400, 3092491/7200, 197/6, -27307/144, -34/3, -161/6, 3437/12, 
  71/6, -14477/144, -197/6, 53915/144, 34/3, -7751/96, -1663/9, -29989/720, 
  31291/1152, 3401/120, -8611/360, 13/90, -307/120, 2497/20, 7063/48, 
  -81833/1440, 1903/60, -59659/360, -12103/180, -643/45, -11/72, -697/12, 
  29/10, -46013/960, 94351/2160, 298867/17280, 107/30, 191/30, 178/15, -47/5, 
  -8303/576, -2379/40, -97261/4320, -10517/1440, -11371/1920, 2171/720, 
  -899/60, -6167/90, 98711/1920, 2307/320, -272489/5760, -1297/72, 1423/18, 
  4393/144, 851/180, -31721/1920, 937/16, -295/32, -4255/192, 374519/11520, 
  251/144, 1227/10, 77237/720, 609733/5760, -100423/2880, -50699/640, 
  -2227/360, -42263/360, -24559/720, 1499/180, -47869/384, 2713/80, 
  74683/1440, -8539/960, -22181/11520, -3/2, -101/6, 29/12, 101/6, -11/12, 
  37/12, 49/12, -8, -7/3, -2045/144, -2309/144, 9581/300, 1423/80, -8179/360, 
  -95/8, 263/24, 4/3, -41/12, 217/12, 25/6, -165/8, -13/12, 275/24, 
  -622489/864, -13933/864, 1038179/2160, -1467/160, -256597/288, 23/4, 22/3, 
  -29/3, -22/3, 47/12, -23/6, 23/6, 181/24, 13/3, -155/24, 2/3, 127/24, 2, 5, 
  147/4, 21/2, -5/4, 109/4, -13/2, -37, 191/4, 3, 131/8, -51/2, 137/8, 29/2, 
  0, 135/2, 59/3, -289/3, -59/3, 173/6, -929/12, -127/6, 209/4, 55/6, 
  -2873/144, -3461/144, 11231/300, 5483/80, -8719/360, 3/2, -17/2, 1, 17/2, 
  -5/2, -249/4, -127/6, 445/12, 55/6, -19625/144, -7445/144, 8389/75, 
  18889/240, -24589/360, 61/8, 491/24, 3/8, 197/24, -503/24, -47/24, -117/8, 
  15/2, -683/24, 223/24, 117/4, -117/4, -587/18, -431/12, -1873/24, 473/72, 
  -109/12, 53, 511/12, 301/72, -65/4, 59183/108, -3641/216, 752509/5400, 
  1513/120, 452803/1800, -14, 199/12, -2639/24, -2723/24, 325/12, 92/3, 1/2, 
  2567/24, -155/12, -75589/144, 27077/144, 750527/900, -15823/80, 
  -4147777/3600, -8, -241/12, 19/4, 145/6, 283/12, -85/6, 81/4, 25/3, 247/12, 
  -5, 217/6, 9/4, -85/18, -5/6, 37/12, -85/18, -5/6, 631/192, 437/36, 
  -617/108, 1387319/21600, 63977/1620, -97561/43200, -11/3, -13/6, 99/4, 
  85/6, -49/6, -263/6, -563/18, -119/18, 91/2, 277943/3456, 3668293/86400, 
  -34967/270, -2312051/43200, -8/3, 44/3, -5/6, -563/18, -137/6, 91/2, 63/16, 
  108097/1152, -2933/192, -72493/864, -29021/384, -25/8, -7/4, -33/16, 
  -3899/72, 2255/288, -875/32, 1172177/14400, 13663/800, 5/8, 45/16, 
  1559/720, -10253/72, 101/16, 25/8, -13/4, -7247/72, 1507/360, 
  -1497989/14400, -7/2, 13/4, 14897/144, 5/8, 2, 123641/7200, -11/8, 
  26845/288, 5/2, -6329/96, 47125/288, -3, 3191/48, -1759/72, -425/24, -3/2, 
  -29203/288, -54901/288, -6079/36, 11801/576, 3/4, 0, 29329/144, 3/4, 
  -26845/288, -193/16, -18439/192, -7/4, 1977/32, 6745/36, 175/16, 28519/192, 
  -25531/288, 153/16, 7/4, -509/32, -1/4, 1, 9/2, 1099/48, -2477/36, -9/2, 
  -1685/48, 2441/36, 299/24, 7/8, -65/4, 7339/72, 59/2, -27079/288, -1/4, 
  3/4, -109/8, -3/8, 1/4, 27/4, 323/32, 1/4, -1857/32, -53/4, -7, -591/32, 
  13, 0, -1/4, 1/4, 1/4, 251/16, -1123/48, 11959/288, 1685/48, -16477/288, 
  -287/24, 3/8, 3/4, -3461/36, -7/4, 6589/72, 1/8, 11/8, -151/32, 0, 
  -1523/32, -1/4, 1241/32, 3/16, 53/48, 0, 1/4, -19/4, 7/4, -1/4, -91895/288, 
  -9859/288, -215/16, -358729/3600, -1729/48, -3/8, -2749/480, 5765/48, -1/8, 
  19/4, 3/4, 171763/576, -413539/3600, -7171/72, 12247/1440, 973249/2880, 
  173/32, 3733/144, 289/16, -839/96, -304271/14400, -67/2, -35303/1800, 
  32489/800, 3, 63/16, -5/4, -97/4, 53/9, 5077/96, -3/2, 47/8, 185/16, -3/2, 
  -137/32, -4873/288, 1505/144, 751/32, 23869/960, -72227/2400, -69/32, 
  3559/288, -51161/576, 11/16, -513/32, -18589/7200, 33593/2400, 851/64, 
  41/32, -27577/1440, -35993/960, 23237/576, 1007/60, 20099/320, 529/288, 
  -99623/2880, 61837/720, 22591/480, -2309/40, -173237/1440, -293039/2880, 
  -40457/360, 2773/90, 52651/720, 5939/180, 33661/2880, -40967/576, 2741/360, 
  378109/8640, 33603/800, -66649/2880, 1991/36, 53921/960, -2669/720, 
  6331/288, -573/25, -643333/14400, -11597/720, 31007/7200, -11/4, 469/24, 
  1/4, -25/16, -45/32, -942493/7200, 14, 4913/100, -26889/800, -133/16, -1/2, 
  -4, -42653/1440, -15971/288, 23/4, -35/16, 31/4, -8959/144, 349/9, 
  -3779/144, 261263/3600, 258731/7200, -9/16, 2593/72, 18761/144, -13/4, 
  6359/144, -27857/1800, -123679/7200, -5675/144, 1/4, -1/4, 1/8, 103/12, 
  5/4, -57/4, -178/3, 33589/1200, 19/8, -1/8, 1463/144, -23/8, -3/8, -31/3, 
  -11/4, -1273/144, 1018/75, -363203/3600, -21/8, 21/8, -12025/144, 23/8, 
  4817/144, 3851/100, 347429/3600, 5281/72, -28331/1200, -17/4, 92809/288, 
  9931/288, -653/48, -589021/3600, 45839/1200, 17/8, -277/160, -11/4, 
  -1153/144, 15/4, 17/4, 7765/144, 2597713/7200, 749/48, -188713/1800, 
  -44639/1200, -21/8, -3869/144, -283/144, -4, -36113/96, -327151/2400, 
  104783/400, 42863/1440, -372907/1440, -1/4, 6095/48, 20743/288, -1/4, 
  -1067/16, 8147/32, 37213/288, 265/8, -289/24, -5/4, 3/8, -55643/288, 9, 
  -1061/4, -15701/48, 73/12, 0, -13/4, 4025/18, -1/8, -58559/288, -20065/96, 
  503/18, -1123/24, -247871/2400, 25/4, 115453/288, 96947/1440, 3313/96, 
  -59387/288, 53/16, 1981/45, -4, -371/16, -3/4, -5/16, 15/4, 1123/48, 
  -12769/288, 1, -85/12, -55/2, -13/8, 21/8, -9/4, 5989/72, -1/8, 17, -15/8, 
  -17/8, 868/9, -145/4, 5/4, 27/4, 185/16, 203/16, -77/4, 47/8, -35/16, 7/2, 
  2105/18, 13/4, 169/16, -293/16, -7/2, 27/4, -88993/288, -9787/288, -871/48, 
  377789/2400, 247/24, 12, 30599/96, 8117/360, 137/8, -1099367/7200, -557/24, 
  -109/8, 2363/160, -143/36, -11/8, -27/4, 1319/36, -2185013/7200, 239/48, 
  137459/1200, -67/24, 3089/108, 1619521/5400, -1602919/10800, 15809/1440, 
  26147/96, -776549/7200, -158981/450, 431723/2400, 3206237/7200, -1159/360, 
  -10477/360, -497/8, -41447/480, 22025/1152, 1566203/8640, 10043/120, 
  683909/17280, -502219/8640, -365123/8640, 1127/120, 447/40, 66043/720, 
  -79847/720, -52667/360, 100033/2880, -88/9, -73/10, 71291/720, 0, 
  -516793/5760, 9481/540, 4909/48, 872681/17280, 4611097/43200, -47/48, 
  149033/960, -1445/48, -10001/144, -62063/1440, 438869/11520, 287297/7200, 
  353801/8640, 10339/960, 2447/160, 3/4, 147/4, 17, 375/8, -115/4, -17, 
  -197/4, -8, 13/8, -15/4, -143/8, -24, -13/24, 77/6, 15/8, 127/24, -2845/48, 
  283/48, -1, 1741/24, -65/16, -227/16, 71, 175/24, -143/48, -11/12, -259/6, 
  -13/4, -25/16, 139/48, 7/2, -103/8, -185/12, -389/12, 415/24, 229/12, 
  -187/8, -107/72, -5, -2797/48, -2039/144, 4/3, 157/4, 139/24, 863/144, 
  -41/4, -43/4, -88367/288, 16513/288, 1613/48, 203017/900, 103/24, 
  194581/864, -41209/432, 508981/2160, -19571/1440, -28615/96, -892939/1800, 
  155381/450, -2111/120, -3213437/7200, -1/2, 41/6, -28/3, 11/4, -77/9, 5/4, 
  353/18, 16/3, -143/9, -1/24, 369499/1728, 10147/288, 3403/96, 
  3474623/43200, -144481/2400, 22441/54, 256901/4320, -5841737/14400, 
  -10709/540, 79019/192, 1066217/3600, -21586151/43200, 20937137/129600, 
  1885051/21600, 35/8, 547/36, 1031/288, 1273/288, -410677/4800, 
  -400873/14400, -211/16, 6659/720, 28663/180, 21/16, 22541/144, 
  -494071/3600, 201943/1200, -28909/720, -8951/900, 9/8, 1019/24, -3814/25, 
  -23191/144, -241487/7200, 479477/4800, -27/8, 2711/120, -983/12, 5/8, 
  8747/96, -3718/75, -1277839/4800, -3007/48, 18323/450, 6809/288, 
  -14281/288, 45/4, -617/16, 17039/96, 11557/192, -6149/48, 3895/288, 
  -44615/288, 32803/288, -29353/144, 1/8, -4089/32, 3947/18, -163/32, 
  -11363/288, 547/12, -4, 68531/288, -549007/7200, -12491/64, 37447/288, 
  75/4, 5603/144, -2, -10489/48, -48803/1200, 148657/576, 36931/288, 757/32, 
  275/16, -155491/576, -149261/720, 4391/96, -1132679/3600, 2639/600, 
  -1415/144, -42489/160, 10685/24, -13595/144, 182333/1728, -13451413/43200, 
  4418921/43200, 323929/1440, 1207541/4800, -170/9, -17419/288, 2491/36, 
  17419/288, -1811/36, 509/144, -107/12, -1613/144, -10/3, 7331/288, 
  -509/144, 95173/2400, -1651/240, -8329/360, 2143/48, 40837/144, -193/12, 
  985/24, -15419/72, -685/16, -663053/1728, 1317277/4320, -2487757/5400, 
  -4169/1440, 255545/576, 49799/120, -936839/1800, 698593/14400, 
  10667123/14400, 97/32, -587/48, -9349/1800, -149/32, -58217/2880, 97/8, 
  -2449/96, 3119/90, 7643/192, 457/32, 127/32, -5587/144, -2, 2885/32, 
  -60203/576, 88901/900, -1003/16, -75/8, 33383/144, 157/8, 789/32, 
  394657/2880, 26593/480, -33871/144, -685103/7200, -7535/16, -1487/72, 
  -3853/96, 3985621/14400, 65/2, 27/32, -45437/480, -76481/576, -33/16, 
  7535/16, -1117727/1200, -4650521/14400, 163169/960, 3427531/3600, 
  -2471/144, 143101/1080, 231121/1440, 2063851/8640, 8999849/43200, 
  -1264409/43200, -473/80, -40631/180, -111389/1440, 29737/240, 
  5240401/17280, 3526061/14400, 1437809/172800, 1700/9, -1700071/57600, 49/4, 
  -1285/48, -77/3, -13003/288, -95321/1440, -448057/3600, -193/16, 577/24, 
  -8171/96, -5/8, -409/32, 400543/7200, 6541/75, 31429/288, -19661/3600, 
  237/8, 42475/54, -2911/1080, 1439/12, -23065/432, -47329/240, -145/8, 
  3103/90, -21799/144, -273/16, -96803/108, 17708873/21600, -6823/54, 199/3, 
  -607567/1440, 89/48, -387239/3456, 1, -1867/192, 518135/3456, 509/64, 
  85183/432, 10939/432, -6458437/28800, -19663/2160, 106141/384, 
  1105921/14400, -19747427/86400, -48984313/259200, -3475913/10800, 2251/144, 
  985/12, 139/6, 1843/24, -624757/7200, -107/12, 47581/288, -33/2, 3755/36, 
  17/6, -4007/144, 640157/7200, 398303/3600, -8771/160, -5941/160, -125/4, 
  -562063/864, 10013/54, -2707/48, -502063/5400, 28639/600, 123953/432, 
  -1390249/4320, 4092377/10800, -27661/240, 408389/432, -6979141/10800, 
  -650021/864, 1252903/7200, 11600873/7200, 773/24, -9637/3456, -11/2, 
  9035/192, -864539/3456, -238533/1600, -18313/27, -2296/27, 12418673/28800, 
  -7711/270, -7205/384, -12761/200, 16388209/17280, -86574623/259200, 
  909179/4320}}
