{{1, -1, -1, 1, 1, -1, 1, 1, -1, -1/2, -1/2, -1/2, -3/2, 1/2, -1/2, -1, 1/2, 
  1, 3/2, 1/2, 1/2, -1, -1, 2, 1, -1, 1, 3/2, 1/2, -1/2, -1, -1, -3/2, 1, 1, 
  -3/2, 7/2, -1/2, 1/2, 1/2, -5/2, 1/4, 1/2, -1/4, -1/2, -1/4, -1/2, -1/2, 
  -1/2, -1/4, -1/4, -1/2, 1/2, 7/4, 1/2, 1/4, 1/2, -5/4, -1/2, -1/4, -1/4, 
  -1/2, -1/2, -3/2, 1/2, 1/2, 1/2, 3/2, -9/4, -3/2, 7/2, 1/4, -3/2, -3/4, 
  3/2, -1/4, 1, -1/4, -5/2, 1/4, -1/4, -1/2, -1/2, -1, 1/2, 1, -3/4, 11/4, 
  -1/4, 3/4, 1/4, -1/4, -1/4, -1/2, -3/4, 7/4, 1/4, 1/2, -5/4, -1/2, 3/2, -2, 
  -1, 1, -4, 2, 1, 4, 4, -12, 6, 2, -4, -12, -1, 1, -1, -1, 3, -1, 1, 1, 4, 
  -2, 2, 3/2, -2, 7/2, -2, -2, 2, 2, 3/2, -2, -3, 1, 7/2, -3, 1, -3, -1, 3/2, 
  7, 1, -3, -1, 3, 1, -3, -6, 3/2, 3/2, 3/2, -1, 9/2, -7/2, 9/2, -1, 1, 33/2, 
  5/2, -2, 1, -1, -3/2, -1/2, -1/2, 4, 9/2, 9/2, -21/2, -21/2, -21/2, -9/2, 
  45/4, 2, 54, 45, -60, -5/2, 1, 1, 13/4, -15/2, -10, -1/2, -5/2, -1/2, 3/2, 
  1/2, 13/2, 25/2, -27/2, -23, 56, 1, 2, -2, -1, -5/2, 7/2, 9/4, 17/4, -1, 
  -13/4, -1/2, 5/2, -1, 1/2, -7/2, 9/2, 1/2, 33/8, 53/8, 1/2, 5/4, -1, -53/8, 
  1/2, -3/2, -1, -5/2, 1, 4, 1/2, -13/4, 7/4, 3, -5/2, 1, -3/4, -9/2, -3, 
  -99/8, 33/8, -3, 5/4, 9, 3, -33/8, -9/2, -1/2, -3/2, 2, 11/8, -13/4, 19/8, 
  -2, 1, 1/8, -2, -1/8, -99/8, -9/8, -21/8, 27/4, 29/4, 23/4, 3/4, -21/4, 
  15/4, 33/4, -5, -15/4, -2, -7/2, 2, 7/2, 13/4, -7/2, 1, -2, 11/4, 7/4, 
  -7/2, 21/2, 7/4, -9/4, 1/4, -3/4, -9/4, 1/2, -5/2, 15/4, -7/2, 69/2, 447/4, 
  1/2, 1, 3/4, 3/2, -1, 5, -2, -23/4, -1/4, -7/4, -1/2, -2, 9/4, -13/8, 
  -43/8, 77/8, 9, 7/4, 65/4, 1/2, -45/8, 3/4, 337/8, -73/8, 99/8, 447/8, 1/2, 
  1, 3/2, -1, -2, -1/4, 3/4, -1/2, -23/4, 9/4, -3/8, -31/8, 117/8, 13/2, 
  -11/2, 73/4, 1/2, -33/8, 3/4, 325/8, 15/8, 117/8, 447/8, -1, 4, 3, 1/2, 6, 
  7, 7/2, 2, -7/2, -2, 1, -19/3, -7/2, -2, 2, 1, -33/4, 5/4, -1/2, -1/2, -1, 
  1, 1, 5/2, 1, -1/2, -5/4, -13/4, -1, -2, 2, 1, 5/4, 1/4, -4, -3/2, 3, -2, 
  1/4, 1/2, 13/4, -7/2, -1/2, -1, 7/4, 21/4, -7/2, -1/2, -7/4, -19/4, -13/4, 
  7, -1, 55/2, 5/4, -55/2, -1/4, -1/4, -1/2, -1, 1, 11/4, 1, -2, -1/2, -1/2, 
  1/2, -7/4, 9/4, -1/4, 2, -11/4, -1/2, 1, -7/4, 3/4, 7/4, -1/2, 1/2, 3, 
  -33/4, 5/4, -13/4, 7/4, 3/4, 3/2, 7/4, -1, -1/4, -2, 1, -13/4, -5/4, -2, 
  13/4, 1, -1/4, 1, 2, -1, -7/4, -5/4, 1/4, 3/4, -7/4, 7/4, 5/4, -11/8, 
  -23/4, 89/8, 57/8, -7/4, -2, 155/8, 2, -23/4, -1, 5/8, 327/8, 5/4, 139/8, 
  -25/4, -3/4, 447/8, 13/12, 1/2, -5/6, 5/6, 1/3, -3/2, -1/3, -7/6, -13/12, 
  -5/12, -1/2, -25/8, -1, -4, 132, -132, -132, 3, -99/2, -21, 99/2, 18, -6, 
  99/2, 21, 3, -132, -150, -27/2, 132, -210, 39/2, -43/2, 2, -225/8, -12, 
  -5/8, 69/8, -271/8, 99/2, 261/8, 271/8, -1/2, -3/2, 3, -21, -3, 21, 9/2, 
  -7, -699/4, 699/4, -3/2, 2, -5/4, 2, 49/12, -1, -1, -2, 3, -43/12, 1, -2, 
  -7/2, 4317/200, 3, -511/45, -1, -41/36, -323/60, -103/36, -2, -1, 1, -1, 
  -23/12, -103/12, 1/2, 1/2, 1, -3/2, 127/12, -1/2, 1, -2, 71/24, -103/40, 
  173/24, 809/300, 5551/600, 3/2, -211/40, -5473/360, -1/2, -355/36, -22/5, 
  37/10, 265/36, -1, -1, 25/24, -63/40, 7/12, 361/200, 1, -9/10, -47/72, 
  -1/2, -419/72, -1877/200, 11293/600, -653/360, -53/10, 2, 2, -7, 6, -2, -6, 
  -24, -3, -6, -5, 12, 13/2, 3/2, -207/8, -5/2, -8, -16, 4, -17/2, 6, 243/4, 
  183/2, -45/4, -33/2, -183/2, -3/2, 657/2, -6, -123/4, -3/4, 657/2, -9/4, 
  1/4, -7, -155/4, -111/4, 6, -9, 65/2, 147/4, -39/2, -35/2, 179/2, -179/4, 
  -503/4, 665/2, -3/4, 25/4, -7, -135/4, -119/4, -8, -30, 65/2, 99/4, -39/2, 
  -197/2, 213/2, 311/4, -635/4, 244, -7/2, 72, 218, 3/4, -14, 27, 9/2, 3, 9, 
  23/2, -9, -23/2, -3, 3/2, -13, 3, 89/2, 8, -6, 2, 6, -2, -3/2, 3/2, -37/2, 
  3, 161/4, -12, -299/4, 97/2, 97/4, -4, 46/3, 21, -28/3, 23/2, -55/3, 
  -15763/12, -27039/8, -9/2, 9, -63/2, -36, 97/8, 61/8, 25/2, -61/8, 3069/8, 
  -5105/4, -1825/2, -26727/8, -9/2, 9/2, 61/8, -61/8, 13/2, 5817/8, -38/3, 
  -2855/4, -5649/8, -9/2, -91/2, 6, 115/2, -15/2, 21/2, -3/2, -263/4, -6, 
  -22, -99/2, 15/2, -13, -1/4, 33/2, -4, 43/4, -33/2, 15/4, -21/2, 1/4, 1/4, 
  2, 35/4, 5, 2, -5/4, 33/4, 45/4, 33/2, -5/4, 5/2, -33/4, -45/4, -5/4, -3/8, 
  -749/8, 1, 1469/8, -1, 251/8, -90, -31, -27/2, -3/4, 1355/8, 1/4, -1281/8, 
  -3/2, 6, -119/4, -127/8, 1683/8, 127/8, -1445/8, 33/4, -253/8, 3/2, -415/8, 
  415/8, 43/3, 77/12, 193/12, 9/2, -3, -3, -27/2, -17/2, 9/2, -21/2, 7/2, 
  81/4, 2, 57, 117/2, -5, -65, -6, 3, 4, -1/2, -1, -2, -25/4, 2, 3/2, -1, 
  -23/2, -1/4, 1/4, 1, -9/4, -1/2, 39/4, -1/4, 1/4, -1, 7/4, 3/2, 31/12, 
  63/40, 1, 3067/600, 19/4, 1/2, 3/4, -1, -94/15, -74/9, 1/2, 1, -4, -8, 
  -239/36, -28/5, -27/4, 1/2, 3, 173/9, -1/2, 3, 8, -3, -1, 3, 3/2, 11/4, 
  -71/8, -3/4, -5/2, -5/8, -5, 7/2, 15/8, -193/8, 29/8, 5, -87/4, -9/8, -3/2, 
  -191/4, -405/8, -1345/8, 11/3, -89/6, 8191/600, 4, -6617/144, -65, -11/3, 
  -34255/72, 89/6, 355409/240, -2797/200, -4, 52051/180, 6545/144, 65, 
  34255/72, 27779/50, -355409/240, -52051/180, -27779/50, -1, -5/4, 5, -5/4, 
  5/4, -7/4, -7/2, 3/2, -7/4, 7/4, -1/4, 1, 33/4, -85/4, -87/4, -2, 85/4, 1, 
  -11/2, -3, 3, 85/8, 1, -207/4, -47/2, 7/2, 17/2, -529/8, 27/4, 55/2, 29/4, 
  -1/8, 151/4, -969/8, 83/8, -9, -511/8, -41/4, -239/8, 47/4, 37/2, 319/8, 
  401/8, 447/8, -23/12, 5/4, 65/12, -1, -7/2, -13/4, 15/4, 25/4, 31/12, 13/4, 
  -2, -25/12, -15/2, 23/4, 5/2, 229/12, -1/4, -107/4, 13/4, 1/4, 9/4, 1, 5/8, 
  49/8, 3, 1, 2, -1, -3/4, -2, -1, 3/8, -3/2, -5, 13/8, 73/12, 5, 29/4, 
  -55/12, -37/4, 27/2, 43/8, -43/2, -67/8, -55/6, 3/2, 23/8, 85/12, -257/24, 
  -32, 7/3, 35/4, -397/24, 17/4, 154/3, 3/2, -223/8, -33/4, -81/8, -607/24, 
  -447/8, -2, 3/2, 15/4, -21/2, -13, -14/3, 20/3, 5/4, 7, -77/48, -44/3, 
  -7/2, -187/48, -7, 3/2, 975/4, -99/8, -69/8, 1705/16, -23/4, -1285/24, 
  -1959/16, -15623/16, -1637/48, -1933/8, 33/4, 5, -16093/8, 1/2, 3/2, -2, 
  -13/4, -7/2, -1/2, 11/6, 20/3, 7/2, 3, 7, 1, -1/4, -149/4, -3, 3/4, 3/2, 
  -4397/48, -4361/100, -2653/60, 3871/600, 9/8, 2305/8, -6, -791/6, -2471/10, 
  14578/75, 81/2, 12733/60, 9/2, -47/48, -13247/200, 5497/40, -2651/120, 
  198721/600, 417/8, 99/2, 45/2, 27, 33/4, -417/8, -45/2, 105, -1227/4, 3, 
  99/4, 1131/4, -15/4, 45/4, 276, 51/2, 747/4, -975/8, -36, -1167/4, -1317/2, 
  100, -9/4, 149, -675/8, 327/4, 159/2, 1791/2, 115/2, -117/2, 535/8, 111, 
  -2435/8, -111, 475/2, -5153/8, 9/2, 5303/8, -93/8, -6921/8, 99/2, 7171/8, 
  637/8, -75/2, -9/4, 65/4, 3/2, -197/2, -5277/8, 22145/16, 593, -7405/8, 
  99/4, -5435/16, 81761/16, 117/2, 2, 109/24, -3417/200, -3, -589/120, 3/2, 
  3/2, 499/30, 1/2, 2, 9/2, -15, 183/4, 97/2, 269/4, -45/4, 12, 541/4, -3/2, 
  336, 153, 415/2, -45/2, 1323/2, 4421/8, -5471/16, -41867/20, 3, -12317/16, 
  9/2, -4421/8, -102459/16, 41867/20, 12317/16, 53965/8, 5, 6, 25/2, 7, 
  -179/4, -23, -76, -10, 53/2, 4, -947/4, -26, 128, -104, -297, 13/8, 41/12, 
  -12, -839/24, 9037/150, 8647/200, -29/2, 31/8, 103/10, -3/2, 255/8, 
  2981/100, -3053/50, 4233/40, 6689/20, 53/3, 532/3, 5583/16, -821/12, 
  366077/600, 5389/150, 16, 1577/16, -4081/36, -197, -115661/72, 32386/25, 
  482191/100, 551153/720, 84727/50, -715/8, -439/4, -6, 1583/8, -109/8, 35/4, 
  2701/4, 59/4, 87/2, 3, 545, 17/2, -13/2, -78, -8, -23/3, -5853/8, -27/8, 
  59/4, 5973/4, 31/3, 5751/8, 2681/4, -5907/4, -5335/8, 687/4, 43263/8, 
  -133/6, -9955/2, -39/2, 73/8, 33/8, 25/2, -199/8, 55/2, 12341/200, 27, -21, 
  -7103/48, -411/2, -20593/24, -7591/16, 188151/80, 57379/240, -523201/100, 
  -3/2, 3/2, 3/2, -1, -1, 3/2, -3/2, -1/2, 1/2, 1/4, 1/4, -1, -3/4, 11/4, 
  -1/4, 1, 1/4, 1/2, -1/4, -1/2, -3/4, -1/4, -1/4, 1/2, 1/2, 1, -2, -3/2, 
  1/2, -1/2, -3/4, -1/2, -1/4, 1/2, 1/2, 1/4, 1/2, 1/2, -1/4, -1/2, 1/2, 
  -1/4, -1/2, -13/4, -1/4, 9/4, -1/4, 9/4, -1/2, -1/8, -1/4, 1/8, 1/4, 1/8, 
  1/4, 1/4, 1/4, 1/8, -3/8, 1/4, -1/2, -9/8, -1/4, -1/4, -1/2, 5/8, 1/2, 
  -1/4, 9/8, 1/4, 1/4, -1/4, 1/2, -1/2, 1/4, 1/4, 1, 1, -1/2, 1/2, -3/4, 
  -3/4, -9/4, 1/4, 1/4, -1/2, 5/2, -1/2, -1/4, 1/4, 5/4, 9/4, -1/4, -5/4, 
  1/4, 1/4, 1/2, 1/4, 1, -1/2, -1, -1/2, 1/2, -5/4, -1/4, 1/4, 1/4, -1/4, 
  1/4, 1/2, 1, -1/4, -1/4, 3/8, -9/8, -1/4, -3/8, 5/8, 1/4, -1/4, 9/8, 1/4, 
  1/2, 1/2, -2, 1/4, -1, 2, 1/2, -1/2, -1, 5, -5/2, -1, 5, -5, -10, 10, -4, 
  -2, 2, 10, 3/2, -3/2, 3/2, 3/2, -28, 49/3, -4, 9/2, -39/2, -3, 39/2, -3/2, 
  -9, 39/2, 3, 9/2, -2, 9/2, -25/6, -5, -9/2, 3/2, 7/2, -3/2, -7/2, -2, 3, 
  -5/4, -1/2, 89/8, 3/2, 13/2, -3/2, -13/2, -2, 3, -2, -5/4, 5, -1/2, 73/8, 
  -3/4, 25/4, 9/4, -259/32, -9/4, 27/32, 1/2, -9/2, -1/2, 9/2, -2, 7, 7/4, 
  -25/4, 7/4, 3/2, -29/4, 23/4, -1/2, 2, -89/12, 1, -3/2, -1/2, -213/4, 
  -19/4, -1/2, -1/2, -1/2, 1/2, -1, 1/2, 1/2, 1/2, 1/2, -1/2, -1/4, -1/4, 
  1/2, -1/4, -1/4, -1/4, -1/4, 1/4, -3/4, 7/4, 1/4, -1/2, -1/4, 1/4, 1/4, 1, 
  -1/4, 1/4, 1/3, -1/12, -1/3, 1, -1/4, 1/4, -5/4, -1/3, 1/6, 7/12, 1, 13/12, 
  -3/4, -1/4, 3/4, -1/6, -1, 1/2, -5, -3/4, -15/4, 3/4, -13/4, 3/2, 3/2, 
  -1/4, 9/4, 23/8, -3/2, -3, -1/2, 3/2, -411/4, -345/4, 4, -3/2, -3/2, 359/4, 
  3/2, -12, 13/4, -1, -49/8, -1/2, 7/4, 4, 13, -12, -1/4, 9/4, -1/2, -1/2, 
  3/4, -5/4, 1/2, 1/2, -3/4, -7/4, -91/2, 15/4, 1/2, 1/2, 177/4, -1/2, 
  -415/4, -1/2, -1, 49/4, 1/2, -167/12, -49/4, 21/4, 167/12, -23/4, 1/2, 3/4, 
  -18, -19/2, 205/12, 11/4, -1, -3/4, 9, 1/2, 9/4, -5/4, 1, 27, 1/2, -20, 
  23/4, 1/2, 1, 1/2, -7/4, -31/4, -1/2, -1/2, -5/2, -39/2, -59/12, -7/4, 
  -23/8, 5, 59/12, -5/2, -1/4, -57/4, 1/2, 151/12, 57/4, -1/2, -37/3, 7/4, 
  21/2, -2, -169/12, 11/2, -3/2, 3/2, -3/2, 51/4, 135/4, -1/6, 9/2, -5/8, 3, 
  -51/4, 1/6, -3/2, -3/8, -33/8, 29/6, 33/8, -107/24, 1/2, 21/2, -11/8, 
  -305/24, 107/24, -3/2, 3/2, 7/4, -241/48, 135/4, -51/8, 131/48, -43/8, 
  -15/4, -23/4, 61/16, 1, -187/24, -147/8, 9/2, 163/24, 7/4, 49/4, -7/4, 
  -49/4, -11/4, 3, -2, 19/8, 409/32, 3/4, -19/4, 329/32, -245/32, 7/4, 17/8, 
  -1/4, 1/8, -33/8, 13/8, -11/4, 25/8, -111/64, 1, 531/64, 159/64, 919/64, 
  11/4, -23/64, 1/2, 1673/64, -105/16, -2743/64, -2213/64, -713/4, 1/2, -5/8, 
  -23/8, -77/8, 19/8, 41/4, -1/2, 3, 7/8, 83/8, -21/8, 1081/64, 65/64, 1/2, 
  -233/8, 5/8, -17/32, 63/64, -3/8, -129/32, 3/8, 29/32, -105/32, 343/32, 
  13/8, -133/4, 1/2, -5/2, 2, -1/2, 5/8, 7/8, 59/4, -21/8, 581/32, 145/64, 
  1/2, -1795/64, 3/2, 381/32, 71/64, -3/8, -309/32, 3/8, 27/32, -105/32, 
  -71/32, 23/8, -133/4, -7/2, 7/2, 7/2, -1, 47/6, -7/2, -2, 11/4, 3/2, 5, 
  -9/4, 7, -15/2, -3/2, 7/2, -11/3, -21/4, 29/18, -1/3, 41/36, -85/54, 17/4, 
  9/4, 335/27, -41/36, 23/2, -1385/108, -21/2, -9/2, 635/36, -35/4, 7/2, 
  -25/4, -13/4, 25/4, -1/4, -7/2, 3, -49/6, -25/2, 25/4, -1/4, 71/64, -1/4, 
  147/8, -1/4, -11/8, -1/4, -1/4, -1/24, 7/8, -1/12, 11/12, 29/24, 3/4, 
  -5/24, -25/24, 1/2, -5/24, -31/12, -1/2, -11/24, 1/2, -1/2, -1/6, 3/8, 
  -1/2, -1/4, 59/24, -3/2, 1/4, -5/4, 2, 3, 7/4, -2, 1/4, 1/2, 1/2, -9/8, -1, 
  -9/4, 9/4, -1/2, 1/2, 5/4, -5/4, -1/2, -2, -283/8, -33/4, 17/4, 7/4, 9/8, 
  -1/4, -1/4, 15/4, 63/4, -39/8, -1/4, -1/2, 11/4, 1/2, -525/8, -9/8, -1/4, 
  461/8, 1/4, -1/4, -1/2, -1/8, -1/4, -3/4, 1/4, 1/4, -15/8, 1, -11/2, -1, 
  15/2, -1, 1, 1/4, -3/4, 1/4, 45/8, -1/2, -39/8, 1/4, 1/4, -13/4, 67/4, 1, 
  -22/3, 37/8, -1/4, 1/4, -9/8, -33/8, -1/4, 1/4, 1/2, -2, 279/8, -3, 33/8, 
  -9/8, -1/4, -1/4, -1/2, -9, 1/2, 1/2, 1/2, -1/2, -1/4, -1/2, 15/4, 9/8, 
  1/2, -15/4, 7/8, -3/8, -41/8, 3/8, 17/4, -3/8, -1/8, 5/4, 8, -19/8, 3/8, 
  1/2, 1383/64, 245/64, -647/32, -3/16, 9/8, -3/8, 71/64, -3/8, -329/32, 
  19/8, 877/64, -105/32, -925/64, -9/8, -43/64, 273/32, -1/4, -133/4, 7/3, 
  7/6, -79/18, -7/4, 1/4, 59/36, 5/6, 7/4, 49/36, -7/4, 7/2, -7/3, -1/2, 7/6, 
  7/2, 43/24, -181/24, 1/2, -4, 19/6, 7/6, -21/8, 7/6, 7/2, 71/4, 1/2, 
  107/12, -373, 373, 373, -5, 168, 131/4, -168, -111/4, 7/4, -168, -49/2, 
  13/4, 5/8, 373, 791/2, 1251/16, -373, 649/2, -289/32, 683/48, -499/96, 
  441/32, -49/8, -435/32, -19/4, 5/4, -168, -899/48, 17/4, 1/4, -1/4, -1/2, 
  -311/8, 1/2, 311/8, 27/4, -5, 7631/32, -7631/32, -7/4, 41/12, -67/24, 
  -41/12, -5/8, -41/24, 13/12, 41/24, 5/8, -27/2, -17/12, -14, -83/9, 19/4, 
  19/4, 23/2, -3/4, 175/18, -19/4, 1/2, 3, 16, 22, -656761/15000, -67/4, 
  -14257/900, 19/4, -115/18, 2867/225, 491/36, 1/2, 7, 55/12, 8, 667/144, 
  1991/144, -5/2, -5/2, -6, 3/4, -2207/144, 5/2, -1/2, 23/2, -41/36, 
  15963/1000, -1295/144, -47197/22500, -2189941/90000, -29/4, -1493/1200, 
  -99/50, 9/4, 245/36, 2383/300, -401/1200, -32/9, 4, -215/72, -6331/500, 
  -7/18, 24829/5000, -7/2, -6793/1200, -25/16, 11/4, 341/72, 239509/10000, 
  -4406863/90000, -30803/3600, 827/100, 685/32, -333/32, 19, 685/32, -5/2, 
  -333/32, -7/2, 19, 7/2, -253/16, 7/2, 253/16, 38, -6, -13, -2, 11/2, 9, 9, 
  -4, 9, -7, -19/6, 8, -3, 9, -14, 9, 171/8, -125/24, -9/4, 211/16, -27/8, 
  -41/16, 1111/16, 31/4, -2191/48, 23, 20, -6, 63/4, -13/4, -2649/16, 
  -497/16, -1, 5229/32, 26, 481/16, -3/4, -6981/32, -5/4, -263/2, 4645/32, 
  -6837/32, -2737/32, -1093/16, 15/2, 4357/32, 1197/16, -17/2, 1653/32, 
  -107/4, -1349/16, 45/4, -1507/16, -2899/16, -118, 11805/32, -7029/32, 
  -567/16, -1193/16, 15/2, 177/2, 1253/16, 31/2, 2005/32, -107/4, -1117/16, 
  45/4, 847/8, -3067/16, -7005/32, 13037/32, -151/2, 105/8, -73/12, -15, 
  -315/16, 73/8, 45/2, 61/8, 433/12, 23, -1351/24, 575/24, -1/8, 67/3, 53/4, 
  -341/12, -15, 1/8, -541/6, -67/3, 541/6, 541/6, -3/2, 4, 567/8, -997/8, 
  -2127/4, -5, 35/8, 543/16, 379/4, 1879/48, -1173/16, -31/4, 43, 1/2, 
  599/24, 67/4, -4181/48, -67/4, 2983/48, -575/24, -28, 2227/48, -1, 3/2, 
  71/16, -20, -3, -13/2, 3, 13/2, -659/24, -28, 2839/48, -1, -23195/96, 
  -85/4, 26699/96, -99/16, -3619/32, 147/16, 149/16, -105/4, 137/48, 333/16, 
  -355/8, 709/48, 1419/8, 355/16, -775/12, 7/24, 56/3, 1011/4, 212/3, -60, 
  -1807/24, 5841/4, 253789/48, -873/16, -2843/32, -441/32, 961/32, 3345/32, 
  54, 2881/48, -457/96, -2433/32, -131/24, -12685/12, 6573/16, 6491/4, 
  68597/48, 81815/16, -873/16, -147/32, 1691/32, 453/16, 1415/96, -3905/96, 
  953/48, 307/16, -36783/32, -2857/96, 3608/3, 19303/16, -9/4, -115/12, 
  -91/8, -63/8, -27/8, 21/8, -7/6, -7/8, -3/4, 3/4, -3/4, 21/4, 555/4, -8, 
  -601/4, 31/4, -35/4, 13/2, 2835/16, 3/2, 3/2, 2, -3/2, 71, 303/2, -37/4, 
  -27/2, 11/4, -213/4, 3/2, -47/4, 213/4, -7/4, 9, 1/4, 1/4, -3/2, 389/64, 
  -475/8, -213/64, -5/4, 1/2, -261/64, 1, 15/4, -477/8, -163/8, -147/4, 1/2, 
  -49/8, 477/8, 49/2, 19/8, -573/32, 3417/64, -1/2, -34285/192, -7187/64, 
  1/2, 67853/192, 1885/32, -15065/96, 69/32, -13/8, -2405/64, 11/4, 2201/64, 
  -7/2, 5/2, 25973/192, 693/32, -13025/64, -693/32, 6551/96, 867/64, 
  -1041/32, 7/4, 133/4, -133/4, -41/24, 31/24, -89/24, 1543/96, 295/24, 
  -809/32, 41/24, 5/12, -1/2, -9/2, 5/2, 5, 59/4, 31/4, -11/2, 3/4, 19/2, 
  -13/4, -123/8, -3/2, -3/2, -1, 3/2, 1, -315/2, -327/2, 8, -3/4, -1/2, 
  627/4, 3/4, -1/2, 4, 1/2, -1/4, 1/4, 1/4, 5/12, 3/4, 1/4, 1/2, 1/2, -9/8, 
  -35/12, -43/2, -7, -1, -3/4, 7/4, 113/48, 41/12, 3/8, -1/4, 47/24, 13/2, 
  1/4, 1/8, -28/3, 1/8, -1/4, 31/4, 13/24, -17/8, -3/4, -587/144, 
  -104083/6000, -1/2, -11861/45000, -51/8, -11/2, -1/4, 33/4, 6047/1800, 
  2353/144, 1/4, -9/4, -7, -1/6, 59/8, 953/144, 10699/600, 75/8, -11/4, 7/6, 
  -3181/144, 3, 1/2, -89/6, 4, -1, 1/2, 725/32, 65/64, -13/4, -715/192, 
  927/32, 341/96, -421/32, 29/8, -14/3, 77/4, -1/4, 413/192, -37/8, 
  -5275/192, 3887/96, -1297/48, 1/4, -55/24, 245/24, -5/4, -1307/32, 1205/96, 
  10157/96, 143/4, 212, 419/8, -22703/288, 10894367/120000, -1117/8, 125/32, 
  7/2, 177/4, -419/8, -10963/24, 22415/288, 27504623/18000, -9834367/120000, 
  1121/8, 291517/3600, -77/32, -175/4, 10963/24, 2838957/2500, 
  -27504623/18000, -291517/3600, -2838957/2500, 3/4, -9/4, 1, -7/2, 71/4, 
  -3/4, -91/12, 23/4, 1/2, -23/16, 5/16, -1, -7, -59/6, -1/4, 23/16, 1, -1/4, 
  -9/4, -39/16, -213/8, 1375/24, 409/8, -9/4, 21/4, 147/16, -1183/24, 3, 
  -1083/64, 17/4, -5427/64, -205/16, -5/8, 5913/32, 321/16, -69/8, -11, 
  1429/32, -41/4, -709/16, 1/4, -85/8, -93/4, -1239/16, 2359/32, -3073/64, 
  1097/64, 3817/32, 97/8, 3355/64, -193/8, -5485/64, -247/32, -7229/64, 
  -6113/64, -147, -39/8, -15/4, -73/8, 1847/72, -37/6, -323/18, 11/6, 27, 
  155/8, -163/6, 331/24, 1045/36, -1, -1, 177/8, 3/4, 39/8, -236/9, 9/8, 
  -226/9, 4789/72, 41/6, -211/8, -5, -487/9, -1/4, 1079/36, 75/8, 1433/24, 
  -3577/72, -11/8, 1, 2, 9/8, -2, -9/4, 7/16, -69/16, -49/16, -3/4, -13/4, 
  -4, -9/8, -11/8, -71/16, 2, 61/2, -23/2, 537/32, 869/144, 985/24, -389/96, 
  -1945/288, -985/24, -1715/48, 23/32, 23, -1389/32, -79/6, 15223/288, 
  -73/24, 2401/96, -1/2, -97/24, -37133/576, 8095/144, 1/2, 63589/576, 
  -32413/576, -1785/64, 1559/64, -73/24, -49949/576, -11/24, -2487/64, 
  977/32, 3109/64, 36797/576, 149, -265/16, -1405/96, 21/4, 1243/72, 
  4175/192, 1243/576, -719/24, -1327/108, 13/2, 611/96, -24425/1728, 
  13685/576, 1011/8, -9/2, 23305/864, -39/2, 343/16, -52969/96, 131/2, 
  -1351/288, -5811/32, -31/8, -29/18, 27355/96, 214687/144, 3239/72, 
  12925/24, -223/8, -7, 96649/24, -7/2, -7/6, -23/6, -21/8, -157/18, 1/12, 
  433/72, 394/27, 161/8, 1/6, 2239/216, -385/18, -1/4, -35/4, -5929/216, 
  -63/2, -21/4, -85/24, 967/8, 65/4, -8, -37/4, 141523/576, 767159/10000, 
  103747/3600, -1464377/11250, 1677/32, -402, 4843/50, 385733/576, 
  4234513/12000, -254807711/360000, -1791/32, 2863/60, -2608093/14400, 27/4, 
  -90931/288, 2763377/30000, 268373/1600, -1374407/14400, -7890077/11250, 
  -371/2, -168, -79/8, -45, -1243/32, 111/16, 775/4, 79/8, -111/16, 2047/16, 
  -649/4, -2047/16, 6551/16, -13/2, -2755/4, -3527/8, 5389/8, -5589/32, 
  -33/4, -4145/32, -155/4, 1183/32, 6067/16, 16159/32, 7465/16, 4717/4, 
  1375/48, 49/2, -2351/16, 17969/192, -3929/24, -8933/64, -11501/8, 
  -19371/32, 77, -17/24, -7493/32, 967/4, 7493/32, -5785/24, 83399/96, -65/8, 
  -77939/96, 1/2, 16993/16, -168, -13081/12, 365/32, -281/8, 105/8, 177/8, 
  -469/32, 1121/64, 16513/192, 46147/48, 40251/64, 2065/48, 13709/8, 
  -1863/16, 95029/96, -142449/32, -413/4, -19/2, -455/72, 1176647/30000, 14, 
  105803/3600, 5/4, -275/48, -150497/3600, 383/48, -1/2, -2151/32, -1931/32, 
  103/4, -23/32, -707/32, -8461/32, 1683/8, -5/2, -4475/16, -219/4, -4441/8, 
  -14527/32, -507, 9609/32, -4725/4, -70655/192, 22501/96, 317/16, 
  -1515661/1000, -959/24, -3/2, -26869/64, -141/4, 70655/192, 1033727/300, 
  4817483/3000, 26869/64, -8832341/2400, -2197/32, 949/96, -61/4, 2665/96, 
  619/6, 9997/192, 2383/16, -5/12, -8137/96, -9, 23369/48, 1421/32, -9805/32, 
  21833/96, 59699/64, -913/16, -2863/144, -11/8, 76895/576, -25429961/180000, 
  -4559561/40000, 841/16, -233/24, -407171/4800, -35/2, -2921/192, 
  -8234659/60000, 5890033/120000, -217643/1600, -75523/100, 521/3, -4055/9, 
  -4199/8, -5063/36, -14308253/360000, 3013109/15000, -1179/2, 565/4, 
  4829/36, 1771/4, 16527/16, -5584709/2500, -567918397/180000, -1263407/1200, 
  930772/1875, 1127/96, 2675/12, 39, -10355/48, -8/3, -45/2, -22529/24, 
  -313/16, -158/3, -35/16, -3491/4, 561/16, 175/8, 5977/48, 47/4, -133/4, 
  70201/64, 1657/16, 107/8, 11075/24, -127/4, -56401/64, -22223/192, 
  -11875/24, 611/192, -16315/48, -257345/48, 215/24, 65157/16, 1979/24, 
  20197/96, 4041/64, -15/2, -57479/192, -3011/24, 5168617/40000, -18923/32, 
  81/8, 114179/288, 4605/8, 263677/576, 21947/24, -13412987/4000, 
  -26233021/14400, 471900679/60000, 1/2, -1/2, -1/2, 111/4, 111/4, 1/4, 1/4, 
  -1/2, 1/2, 111/8, -335/12, -1/8, 335/12, 1/8, -1/8, 1/4, 147/16, 7/6, 
  -143/16, 1/4, -1/4, -147/16, -1/8, 1/6, 1/8, 1/8, -1/4, -145/16, -1/8, 
  -131/16, 111/8, -111/8, 1/2, 1/2, -1, -1/2, -441/16, -147/8, 441/16, 147/8, 
  147/4, 147/16, -147/8, -147/16, -147/16, 147/16, 147/16, -147/16, -147/16, 
  -111/4, -1/12, 667/24, 1/8, 1/8, -1/4, 1/8, -129/16, -137/16, -1/8, -1/8, 
  147/8, 147/16, -449/16, -147/8, -111/4, -147/8, 151/8, 147/16, -147/16, 
  1/6, 1/8, 1/8, -1/4, -145/16, -1/8, 147/8, -2/3, -1/8, -37/2, 1/2, 11/8, 
  -1/8, -147/8, 1/2, -1/4, 1/2, -1/2, -147/8, 1/2, 149/8, 3/4, 37, 147/8, 
  -157/8, -147/8, 147/8, -1/2, 1/4, -111/8, 337/24, 1/8, 1/8, 3/8, -145/16, 
  -1/8, -139/16, 1/2, 139/16, -111/8, 337/24, 1/8, 1/8, 3/8, -141/16, -1/8, 
  147/16, 109/8, -239/48, 1/8, -147/16, 135/16, -109/8, -1/8, -147/16, 1/4, 
  145/16, -1/4, 1/8, 1/2, 1/2, -1/2, -147/8, 169/6, 7/8, -227/24, 3/8, 
  143/16, 71/4, 413/24, -15/8, -1/2, 1/4, -137/16, 1/8, 147/8, -1/2, -437/16, 
  1/2, 143/16, 147/16, 437/24, -1/8, -1/8, 1/4, -149/16, 1/8, -147/16, -1, 
  147/16, 1/4, 369/16, -227/48, -3/8, -1/2, -1/2, 1/2, -67/16, 321/16, 
  -423/8, -1/4, -47/36, 817/72, 91/36, -1/4, -17413/1152, 1/4, 211/144, 
  -247/144, 2, -1383/32, 85/24, -17764093/180000, 37984327/1440000, -17/4, 
  5/2, 29/4, -35/72, 130175/1152, 12155981/96000, -19/96, -83953271/720000, 
  -1/4, -1/4, -1093/48, -1093/48, -7/16, 12521/384, 475/48, 7/16, -8149/192, 
  -4967/384, 7/16, -8233/192, 475/48, -511/192, 1315/128, 62/3, -8149/192, 
  -191/48, 7/8, -12521/192, 1259/64, 1259/64, 5845/192, 1315/64, -75767/4608, 
  1141/48, 145/384, -1315/128, 1315/64, 4799/384, -1315/128, 134633/2304, 
  887/1152, 519011/4608, -36395/4608, -7/16, -251885/2304, -1315/128, 
  -134633/2304, -12521/384, -279565/4608, 186089/2304, 12521/384, 7/8, 
  -12521/192, 7/8, -8149/192, -191/48, 1259/64, 1259/64, -7/8, 8233/96, 
  2045/192, -1259/64, -1315/64, -1/4, -1/4, -7/2, -11/8, -3/2, -3/8, 3, 21/2, 
  9/8, -1/2, -11/8, 1, -3/8, 33/16, -11/32, -151/16, 13/16, 69/8, 151/8, 
  -13/16, -151/16, 139/8, 15/16, -143/12, -15/16, -131/24, -139/4, -15/16, 
  143/12, 139/8, 111/4, 139/8, 15/16, -143/12, -15/16, -131/24, -139/4, 
  -15/16, 143/12, 139/8, 181/16, -181/16, -139/8, 33/16, 311/48, 139/8, 
  -17581/1152, 32389/576, 66260009/720000, -4657/1200, -481/225, 3, 111/4, 
  -115/16, -67/16, 163/16, 67/16, -3, 115/8, 67/16, -163/16, -115/16, 
  -111/16, 111/16, 3/8, 227/16, -187/48, -107/16, 3/8, 41/3, -151/48, 
  -707/48, 43/48, 1/2, -1/2, 11/8, -7/8, -383/16, -7/4, -111/4, 573/32, 
  559/24, -191/32, -559/24, -191/16, -137/32, 5/4, 11/2, 43/8, 5429/192, 
  5323/64, 4337/64, 573/32, 571/24, -191/32, -571/24, -191/16, -93/32, 5/4, 
  37/8, 43/8, 5429/192, 3791/64, 4465/64, -111/4, 1/2, -1/2, -181/64, 81/64, 
  -131/16, -81/64, -39/8, 1/2, -3/2, -181/64, 81/64, -181/32, -81/64, 
  -237/32, 1/2, 3, -15/2, -1/2, -357/8, -20053/144, 21/16, 19991/288, 
  160217/1152, -28979/1152, 1035/8, 3539/144, -993/32, -33, -230861/288, 
  -784927/36000, -43189253/40000, -1/2, -3, 15/2, 1/2, 67/144, 67/144, 
  77/144, -930487/6912, -25705/3456, 250580731/1080000, 7531/1350, 
  -28247137/540000, 67/16, 80795/2304, -16063/512, -1429/192, -193219/2304, 
  8835/64, 1001/96, -887/1152, -423491/2304, 36395/4608, -1429/192, 
  86353/768, -1001/96, -5647/96, 191/64, -1/2, 983/72, 1/2, -91/18, -143/18, 
  1/2, -619/72, 1/2, -2981/72, -1/2, 91/18, 143/18, -1/2, 619/72, 1/2, 7/8, 
  -12521/192, 7/8, -8149/192, -191/48, 1259/64, 1259/64, -1093/48, -7/8, 
  8233/96, 2045/192, -8149/192, -1315/64, 12689/384, -132887/4608, 1213/48, 
  -8317/192, 1827/128, 1093/48, 1661/192, 4799/384, -1315/64, 133625/2304, 
  12689/384, 887/1152, 491747/4608, -36395/4608, -8317/192, -238253/2304, 
  -133625/2304, -28987/384, -343501/4608, 232421/2304, 8149/192, 12689/384, 
  -119063/4608, 2497/48, -8317/192, 1315/128, 1093/48, 1661/192, 4799/384, 
  -1315/64, 133625/2304, 12689/384, 887/1152, 491747/4608, -36395/4608, 
  -8317/192, -238253/2304, -133625/2304, -28987/384, -343501/4608, 
  232421/2304, 8149/192, -1/2, 1/2, -1/2, 1/2, -3/32, 14, -1/8, -19/16, 9/32, 
  13/4, -1/2, -1/4, 1847/32, -14, 1/8, -28, 19/16, -1/32, -13/4, 9/8, 
  -893/32, -14, -47/16, 19/16, -1/4, -13/4, 1/2, 15/8, -459/8, 17/16, 28, 
  15/32, -13/8, -59/32, 14, -19/16, 28, -19/16, 1/4, 13/4, -127/4, -197/16, 
  51/2, 1403/48, -305/8, 127/4, -51/2, -187/8, 401/16, 69/4, -401/16, 49/8, 
  187/4, -401/16, -69/4, -187/8, -3/8, -157/8, -8/3, 157/8, 73/24, 75/4, 
  71/16, -13/12, -147/8, 959/48, -421/48, 145/16, -959/48, -127/4, -149/16, 
  75/4, 2819/48, -303/8, 127/4, -75/4, -181/16, 67/4, 127/4, -111/4, 213/16, 
  -93/8, -3/8, -81/4, -8/3, 81/4, 73/24, 57/4, 147/8, -305/24, -111/8, 
  743/48, 109/24, -41/16, -743/48, 111/4, -3/8, 13/8, -3/4, 1037/32, 11/8, 
  -1309/64, 3/4, 1861/64, -7/2, 7/2, 1/2, -1, 389/16, 1/2, 279/32, -1/8, 
  451/32, -9/2, 9/2, 1/2, -1, 469/16, 1/2, 87/32, -1/8, 611/32, 573/32, 
  1021/96, 1/2, -1079/32, -3673/96, -221/16, -93/32, 17/8, 639/32, 4, 
  1733/192, -1037/32, 169/2, 5569/64, 573/32, 1021/96, 1/2, -191/32, 
  -3721/96, -221/16, -93/32, 17/8, 579/32, 4, 7955/192, -1101/32, 967/16, 
  5689/64, 553/16, 3/2, -3/2, 1, -2, -221/32, 81/32, -355/32, -81/32, 
  -433/32, 129/8, -3001/72, -157/12, 1921/72, -129/8, 1309/36, 157/12, 
  653/72, 383/72, -67/144, 67/144, -129/8, 3001/72, 1999/144, 5117/72, 
  383/72, -381/8, -42323/432, 5687/144, 17507/288, 462859/3456, -16787/1152, 
  1059/8, -29/48, 1901/864, -26, -779287/1728, -53467/864, 
  -1331598571/2160000, -81929/5400, -1108862483/1080000, -129/8, 3001/72, 
  157/12, -1921/72, 129/8, -1309/36, -157/12, -653/72, -383/72, 67/144, 
  -67/144, -67/144, -7/2, 131/16, -99/8, -131/16, -147/16, 25/8, -1/16, 
  263/48, -494103613/2880000, 12608109/320000, -251/16, -34531/288, 
  -9409/192, 87/8, 147/16, -14303/192, 129839/768, 225754763/1440000, 
  -147/16, 4105/72, -84013271/480000, 155801/2304, -1/4, 131701/4608, 1/2, 
  -413/24, -1/8, -230639/2304, -21407/1152, -278957/2304, 142091/4608, -1/4, 
  -1/4, 305411/2304, 1/4, -155801/2304, -12521/384, -218773/4608, -147/8, 
  48305/288, 12521/384, 429061/4608, -178175/2304, 12521/384, -8233/192, 
  -19/32, 1, -17/16, 107/16, 2, 91/4, -95/4, -137/4, 1/4, -1/2, -335/12, 
  21/8, 335/12, -17/8, 3/8, 1/4, 147/16, 383/48, -133/48, -3/4, -1/4, 
  -139/16, 3/8, 147/4, 9/4, 573/64, 191/32, 2479/48, -521/64, -2479/48, 
  -217/32, -85/64, 1/8, -3871/192, 131/6, 15/8, 25/8, 9997/384, 3993/128, 
  969/32, 8827/384, 10021/384, -1, -1/3, -1/6, -381/16, -35/32, 20423/576, 
  -1157/768, -15635/2304, 1057/16, 3827/288, 37109/576, -103/8, 1/3, 
  -327497/1152, -58063/1728, -674788571/4320000, 1106167/21600, 
  -1108862483/2160000, 1883/96, -1481/96, -1883/96, -147/16, 1955/96, 
  -887/1152, -425603/2304, 35819/4608, -1/8, -149/16, -2929/192, 103009/768, 
  147/16, -2549/96, -6001/96, -145/16, -3225/64, -1/8, 147/8, 887/576, 
  170759/1152, -39943/2304, -191927/1152, 36395/2304, -147/16, -106079/576, 
  -191927/2304, 862183/4608, 1/4, 204449/2304, -147/8, 12997/192, -6049/48, 
  6721/192, -1865/32, -3193/192, -147/16, -887/1152, -191927/2304, 
  36395/4608, 1/4, 1/4, 204449/2304, 147/16, -701/8, -3193/192, -1/4, -1/4, 
  -2/9, 1/2, 1/4, 17/8, 65/72, -1/4, -1/4, -1/4, -65/72, 1/4, 1/8, 1/8, 
  -3807/32, -37937/288, -1/4, -5/8, 11507/96, 191/16, 1/8, 1/8, 3/8, 
  -481/144, -1/8, -1, 1371/16, 1/16, -21/8, 46109/288, -24123/512, -85/16, 
  -594479/10000, -38104327/960000, 17/8, 1/4, 23/4, 4719/64, 47887/576, -7/2, 
  -43/4, -73/4, -36841/576, -129743/2304, 133271/1152, -61428173/1440000, 
  -153537191/720000, 147/8, 4559/72, -14705/144, -1/8, -2875/144, 
  84133271/1440000, 248489813/1440000, 2911/144, -9/8, 1371/16, 1/16, -31/16, 
  -24155/512, -38224327/2880000, 17/8, 1/4, 14381/192, -7/2, -7/8, 
  -71959/576, -129311/2304, -77/48, 112049089/960000, -37744327/2880000, 
  41/2, 4505/72, 12245/192, -27/8, 47777/576, 89329/60000, 
  -140364667/1440000, -18035/288, 83773271/1440000, 145721/1152, 17171/2304, 
  1175/384, 79993/288, 203549/2304, -39851/1536, -179723/4608, -1/8, 
  -46907/288, 1/2, -641267/2304, -219919/768, 121259/2304, -3/4, -5/4, 
  243059/1152, 3/4, -145721/1152, -102425/2304, -325321/2304, -15059/384, 
  121/8, 331837/1152, 316523/2304, 335023/2304, -195389/1152, 14209/384, -4, 
  -29989/384, 147/16, -154793/2304, -46727/1152, -178577/2304, -23413/4608, 
  -1/8, -1/8, -1/4, 159/16, 160283/2304, 391/12, 1/4, 1275/64, -147/16, 
  177977/2304, 467/16, 13985/384, -3/4, 135/16, 71161/2304, 355/384, 571/192, 
  -161/16, 2, -2657/128, -441/16, -147/8, -887/384, -643265/2304, 
  -192887/1152, 36395/1536, 100427/2304, 1/8, 37/2, -1/4, 658115/2304, 
  100255/288, -52091/2304, -1/8, -217949/1152, 188057/1152, 53575/576, 
  177145/2304, 721/96, -119/4, -386485/1152, -134129/1152, -187453/2304, 
  210263/1152, -11017/384, 6, 7481/192, -147/8, -743/576, -192311/1152, 
  37259/2304, 75/4, -1/4, 743/576, 99967/288, -36971/2304, -1/4, -1/8, 
  -217805/1152, 441/8, -3/4, 2007/32, 11/8, -177401/1152, -134129/1152, 
  -298621/2304, 210695/1152, -147/4, 307/8, 12821/192, -1, 54, -163/16, 
  -11/4, -189/8, -19/16, -19/16, 1, -53/32, -407/32, -61/4, 59, 3977/48, 
  -459/8, 141/8, -43/4, 229/16, 99/4, -290/3, -139/4, 53/8, 95/32, 19/32, 
  -3/2, 195/64, 6187/64, 875/96, -643/16, -223/8, -789/32, -401/32, 191/8, 
  65/8, -19/32, 19/32, 1/2, -15/64, -1047/64, 677/96, -959/16, -2569/12, 
  1841/32, 101/16, -135/8, -77/32, -69/32, 9041/96, 179/8, 14, 28, 211/8, 
  1157/32, 7/4, -997/16, -499/8, 39/2, -147/16, 1/4, -1/4, -185/4, -677/8, 
  733/8, 677/8, -17/8, -363/8, 17/8, -3/8, 93/2, 105/4, -27/16, -4075/48, 
  91/16, 3/4, -1/4, 27/16, -3/8, -475/8, -10751/576, -26233/288, 1471/24, 
  -52707509/360000, 49/4, 82, 46289/1200, -515/12, -181/8, -147/8, 962/225, 
  147/8, 3/4, -1183/48, 25, -17/8, -3/8, 7/4, -3/8, 97/16, -85/16, 3/8, 3/8, 
  163/8, 8339/1152, 41245/576, -2095/48, 53570009/720000, 13/8, -179/8, 
  -2579/150, 827/24, 2, 147/16, -481/225, -147/16, -477/8, -961/16, 275/3, 
  961/16, 1/8, -769/24, -1/8, 1/8, 479/8, 6, -187/16, -1853/48, 91/16, -1/4, 
  -1/4, 187/16, 1/8, -1331/16, -56147/1152, -32389/576, 3409/48, 
  -27005009/720000, 111/4, 445/4, 24191/600, -1043/24, -449/16, -441/16, 
  481/225, 441/16, -111/16, -847/16, 111/16, 847/16, 121/2, 6, -105/16, 
  -2381/48, 35/12, -1/8, -1/4, 135/16, 1/8, 3/8, 30085/1152, -32389/576, 
  -151/48, -64025009/720000, 7/8, 1049/16, 17891/600, -17/4, -459/16, 
  1735/48, 481/225, -1, 53/48, -1/8, -3/8, -33/8, 3/8, 17/4, 5/8, -5/8, 
  125/16, -3/8, -33/8, -4, 17/8, -73/16, -1/8, -3/2, 573/64, 2365/96, 3/4, 
  -183/64, -4847/96, -197/32, -101/64, 5/2, 2237/96, 17/8, -1749/64, -289/32, 
  -1, 24061/384, 149/4, 2507/64, 85/64, -5/8, 2471/384, -17/8, -24397/384, 
  105/16, 1023/64, -11011/384, 133/2, 1/2, -1/2, 1/2, -1, -3, 1, -31/24, 
  -4355/128, 341/192, 14843/384, 3/8, 103/96, -9/4, -6671/384, -17/4, 
  -2895/128, -4835/64, -22915/384, 1/2, -9/2, 1, -1327/64, -4579/128, 
  -171/32, 15035/384, 3/4, -101/96, -9/4, -4559/384, -17/4, -15671/384, 
  -4675/64, -24451/384, 41/16, 13/18, -13/16, -13/18, -7/4, -29/8, -153/8, 
  971/48, 5519/72, 17/16, 2045/72, -381/16, 1111/108, -35/32, 12863/576, 
  185843/6912, -6035/2304, 1057/16, 3827/288, 86455/1728, 7/4, -103/8, 
  381/16, 231299/3456, -55417/576, -3575/576, -1012926587/1080000, 
  -24493/2304, -763/16, 109363/10800, 69217/1728, 105/8, -266851/3456, 
  -28764131/80000, 1295651491/1440000, -119651/21600, 328935929/720000, 
  -151/72, -41/16, 41/18, 41/18, 25/16, -41/18, 1, 361/8, 3850877/6912, 
  40033/1152, -16039/288, -1874348761/2160000, 17123/1152, -846743/6912, 
  1284541/28800, 41966077/360000, -218767/1800, 2804683/6912, 
  34167641/240000, 277140001/360000, -3216401/45000, 322579003/360000, 
  -41/16, 41/18, 41/16, -41/18, 29/8, 3, 8719/54, -129/16, -4421/27, -17/16, 
  -4421/27, -139/8, -887/1152, -173447/2304, 35819/4608, 1/8, 1/2, 
  206465/2304, 1/8, -1787/96, -6145/96, 715/64, -9/4, 2121/32, 1/8, -31/8, 
  8503/768, -37864327/1440000, 9/2, -5/8, 299/24, -29/4, -259/18, 
  -129167/1152, -304141/5625, -1/4, -1/4, -2599/288, -29/72, 1/4, 1/2, 
  84133271/720000, 1/4, 29/72, -1/4, -147/8, -311/1152, -181895/2304, 
  35819/4608, 49/12, 1/8, 3/8, -1/4, 153581/2304, 1/8, -5/48, -1/8, 3/8, 3/2, 
  735/16, -3/4, 10565/192, 147/8, 11/8, 215/48, -3/8, -443/16, -379/16, 
  -1351/48, -67/4, 5/4, 1/2, 95/16, -7/8, -441/16, 305/8, 297/8, -241/8, 
  -153/16, -19/32, 19/16, 1/2, -1, -15/64, -1143/64, 663/32, -959/16, 
  -5135/24, -337/24, 1841/32, -1/8, 139/16, -25, -2, -39/16, 217/8, -225/16, 
  13045/48, 20963/48, -1841/16, -135/8, 4, 319/16, 109/4, -7291/24, -1/2, 
  -37/8, 211/8, 1157/32, 7/4, -1/4, 11/32, -155/48, -1/8, 203/48, -1677/16, 
  -1857/16, -7/2, -343/32, -1469/48, 3/4, 817/8, 175/2, 321/16, 4, -147/16, 
  1/4, -1/2, 143/16, -1/2, 3/2, 151/8, -111/4, 1/2, 1003/24, -21/8, -337/24, 
  17/8, -3/8, 1, -5/8, -55/4, 769/48, -9/4, 3/8, -1/2, 3/4, 11/4, 1/2, 19/16, 
  43/12, -147/4, 7/8, -323/48, 3/8, -327/16, 395/16, 235/8, 14, -1/2, 3/4, 
  -99/16, 1/8, 425/16, -3/4, -275/8, 3/4, 125/16, 1/4, -1/8, -5/8, -17/4, 
  5/8, -573/64, -1559/384, -171/64, 547/384, -193/32, 227/48, 61/64, -1/8, 
  -993/128, 3/4, 37/8, -3/2, -17/8, -5983/192, -2737/64, -1175/64, -3/8, 3/2, 
  -41/24, -41/48, 41/27, -121/54, -43/48, 215/108, 7/4, 29/12, 17/48, 
  1151/48, 561877/2304, 45325/3456, -11711/576, -506299933/1440000, 
  -9661/2304, -1059/16, -879721/21600, -68797/1728, 13, -17/24, 340807/6912, 
  175081673/2160000, 484478299/864000, 69719/1350, 195322787/432000, 131/8, 
  -147/4, -15415/96, 147/4, 13843/96, -4309/96, 147/4, 4145/24, 2737/96, 
  -753/16, 14699/96, -10181/96, -133/32, -593/32, -5/24, -18293/256, 
  8351413/19200, 354507299/1440000, 88056433/2880000, -13/4, -1019/1152, 
  -40813/576, -619/36, -104661259/720000, -19460003/240000, 1/4, 20299/900, 
  10687/450, 337/48, -2501/900, -39/100, -325/48, 9/4, 5/2, 
  277464401/1440000, -9/2, 31/12, 19549/576, 29/4, -14107/384, 
  298625917/720000, 6391703/19200, 10921/144, -303019813/720000, -2, 
  770627/576, 24067/288, -13/24, -48784327/1440000, 17/4, -29/4, -745453/576, 
  -332796479/720000, -20286971/1440000, 1231/96, 2201783/5760, 35773/768, 
  73597/2304, 151/24, -441157/2304, -31345/768, 91105/576, -266623/2304, 
  -685/48, 349669/2304, -1315/128, -46525/768, -291581/2304, 33799/288, 
  -98209279/1440000, -298693/4608, 287303/1152, 5/4, 167759/2304, -1, 
  -13813/96, -12794387/180000, -165239/4608, 141119/2304, -5303/192, -4, 
  -1230485/1152, -18145/576, -3121/1152, 2510043973/1440000, 
  -186164183/2880000, 157655/2304, 1940717/7200, -2209/32, -39869/192, 
  147845/128, -40814657/240000, -7435597/4500, -4263737/19200, 
  150313013/720000, -39, 115/4, 149/4, -23399/64, -9395/64, 17/32, 101/3, 
  571/96, -101/3, -311/48, 419/32, 17/4, 1/16, 43/8, 14993/1152, 32389/576, 
  126143759/720000, 306647/4800, -481/225, -357/8, -10841/72, 21/16, 
  19991/288, 173249/1152, -28979/1152, 587/4, 1621/72, -3601/96, -403/8, 
  -905863/1152, -32389/576, -81958549/720000, 4657/1200, -387933677/360000, 
  190, -3107/16, -190, -99/16, -573/8, 13015/192, 573/8, -11827/192, 
  4597/192, 573/8, -3809/48, -3409/192, 753/32, -14699/192, 10181/192, 
  133/64, 727/64, -5/16, -8315/576, -21881939/115200, 18167/288, 745/288, 
  21038939/115200, -16705/576, -1/2, 71573/576, 7/8, -12521/192, -1513/8, 
  -45973/192, -479/48, 1259/64, 13419/64, 1093/24, -7/8, 8233/96, -41875/192, 
  4967/192, -1315/64, -38897/1152, -90167/2304, 687655/4608, 90167/2304, 
  -532067/4608, 119873/768, 90167/2304, -365239/1536, -281825/2304, -8835/64, 
  8835/64, 8835/64, 1705/32, 188195/1152, 147/4, -2099/576, 43219/512, 
  180895/4608, -863/8, -107663/1152, 123647/2304, 21/2, 161281/384, -5171/64, 
  -178213/384, 17/1152, 172679/2304, 107177/4608, -172679/2304, -107245/4608, 
  -19571/256, -172679/2304, 81655/1536, 176105/2304, 8835/64, -8835/64, 
  -8835/64, -30353/1152, -182039/2304, 95479/4608, 182039/2304, 25933/4608, 
  235879/2304, -149351/2304, -671615/4608, 176969/2304, -9433/64, 573/8, 
  3865/192, -28097/192, 379/64, -1, -8, 1, 133/64, -27/8, 25/8, -583/64, 
  1523/64, 7/4, 573/32, 1799/64, 1, 16213/1152, -74226899/360000, 
  -31823/2304, -93/32, 3/2, 296861/1152, 4, -3149/32, -29179327/720000, 
  -33979/192, -2935/64, -133/2, -2065/1152, 241139/2304, -60319/4608, 
  -241139/2304, 68579/4608, -261653/2304, 292613/2304, 12733/192, -1491/64, 
  -81/32, -8887/1152, 239987/2304, 138977/4608, -239987/2304, -103429/4608, 
  -272021/2304, 302405/2304, -565/96, 1861/32, -41/32, -41/16, 37/24, 
  -17665/1152, -674425/2304, 43103/1536, 41/16, 49/48, -178205/4608, 
  -1513/32, 5865353/6912, 25815139/57600, 20351/384, -7236587/16875, 
  86361683/2880000, 775/8, -888893/28800, -1362761/3456, 31/2, -8453375/6912, 
  -1571006399/8640000, 5028448429/8640000, 7594367/21600, 
  -6994602887/8640000, -887/576, 547867/2304, 39943/2304, -547867/2304, 
  -4163/256, 178397/6912, -1836565/13824, 1168974799/4320000, 
  -9760507/172800, -1590149/2304, 21881939/38400, 1259153/1536, 
  325464677/2160000, -21038939/38400, 41/48, -13/24, 887/1152, -547867/4608, 
  -36395/4608, -214705/2304, -41/48, -5/16, 1665905/4608, 9, 119/72, 19/2, 
  -3551/288, 217/32, -3, -3, -29/4, -9/8, -225/32, 3, 3/4, -7/8, 12521/192, 
  475/24, 7/8, -8149/96, -595/192, 3/8, -8233/96, 475/24, 1675/96, 1315/64, 
  -7/4, 12521/96, -15/4, 24823/288, -61/18, -1259/32, -1259/32, 9/4, 
  -8233/48, -6863/288, 1259/32, 1315/32, 569/16, 1631/32, 7/4, -899/32, 
  -5341/288, -10631/288, -119/2, -259/8, 39/32, -159/4, -15, 1/4, -1129/72, 
  -197/8, -7/2, 2861/32, 9/4, 38863/576, 14745437/60000, -76821827/720000, 
  -13/16, -151/8, -6823/96, -175/4, -13/3, -130031/576, -36471943/144000, 
  1451/144, 83953271/360000, -55/4, 36491/2304, 5810599/288000, 2549/256, 
  16564279/360000, 28817771/480000, 43/4, -208639/7200, 9371/900, -3, 17/48, 
  -533/900, -49157/7200, -173/48, 3/4, -6, -185/36, -13/2, 1139/48, 
  -5083/144, 2, 2, 9/2, 3/4, 1775/144, -2, -1/2, -19/4, 12473/768, 
  2402921/57600, 677/256, 11143879/240000, 30727771/480000, 11/4, 
  -53167/2400, 3607/300, -1, -593/144, -1861/450, -2207/7200, 485/144, 1/4, 
  -15/4, 35683/2304, 3036521/57600, -227/16, 97298989/720000, 
  -31474327/720000, 11/2, -50867/2400, 9017/288, -17/2, 81167/2304, 
  -175521901/720000, -4927883/57600, -10733/1800, 84480071/720000, -1/2, 
  13387/288, -17285/192, -127991/1152, 31417/384, -1959/64, -1591/128, -1/2, 
  -22289/1152, -1006351/32000, -55615249/480000, 807/64, -17/8, -14141/576, 
  -83/4, 57475/384, -241811801/1440000, -45868409/288000, -12449/144, 
  22891691/120000, -1959/64, -1591/128, -1/2, -1163/192, -978351/32000, 
  -13369327/1440000, 807/64, -17/8, -12845/576, -83/4, -3131/144, 
  -238751801/1440000, -28456909/96000, -12773/144, 50662577/240000, 
  157973/900, 1/2, -71849/225, 3377/72, 43141/300, 397/8, 520661/2304, 
  317990813/270000, -16487/288, 1117651903/1440000, 6626453/160000, -1095/8, 
  -133073/10800, 15229/864, 133/4, 687409/2304, -5132373919/4320000, 
  3177830323/1440000, 2445947/7200, 15878643/16000, 129/8, 278783431/240000, 
  -157/12, 1211/24, -129/8, -841850293/360000, 157/12, -5627/72, 
  847350293/720000, 34909/1536, -269089/4608, -83045/2304, 70957/4608, 
  -78541/4608, 227/24, -386617/4608, 136241/1152, -111833/4608, 227447/2304, 
  -71921/1536, 172127/4608, -35/8, 60115/512, -60949/1536, -11693/384, 5/8, 
  449861/4608, -81364279/1440000, -298693/4608, 387221/2304, 19/8, 
  140807/2304, -71/4, -208957/1152, 81008029/1440000, -155033/2304, -371/12, 
  -438247/4608, -4, -537061/512, -47137/2304, -6901/1152, 3194936/1875, 
  -181784183/2880000, 175079/4608, 4798793/28800, -60275/2304, -88915/768, 
  5234029/4608, -632324009/2880000, -959447041/576000, -11864497/115200, 
  711996427/2880000, -18301/1536, 220801/4608, 69557/2304, -72013/4608, 
  81229/4608, -217/12, 286969/4608, -124169/1152, 112889/4608, -136247/2304, 
  71921/1536, -172127/4608, 35/8, -145369/1536, -9/8, -271105/2304, 
  10417/288, -97/48, -97/2304, 675/16, 1515/64, 99959/576, -20161/1152, -2, 
  13219/576, 13175/2304, -2501/192, 58969/1152, 1315/64, -26557/1536, 
  -362785/4608, -84101/2304, -26413/4608, 127733/2304, -1543/48, 435217/4608, 
  159665/1152, 24673/4608, -150647/2304, 317483/4608, 144479/4608, -1277/192, 
  -348467/4608, 1315/64, 815/1152, -124273/1536, -109733/2304, -4759/4608, 
  -12865/96, 25835/4608, -272995/4608, 147569/1152, 487847/4608, 
  -151511/2304, -15721/384, 540323/4608, 286765/4608, -67249/512, -8149/192, 
  -553/64, 3/8, 601/64, -1/2, -51/4, 29/8, -55/8, -509/24, 3/2, -5039/192, 
  -29/4, -2269/192, -601/32, 150257/2304, 3/4, 41285/256, -87769279/1440000, 
  -424261/4608, -1073/64, -13/2, 152207/2304, -4, -126151/576, 9715203/80000, 
  -357/512, -459443/2304, -336487/2304, 79429/1152, -118787/2304, -3/2, 
  -402445/4608, -191/3, -177/16, 186989/2304, 59/8, 383/8, 13/4, 915293/4608, 
  222389/2304, 718981/4608, -365579/2304, -203047/4608, 50143/1152, 
  -115043/2304, -3/2, -182197/4608, -1573/24, -275/16, 186413/2304, 59/8, 
  341/8, 13/4, 713645/4608, 220949/2304, 672229/4608, -388619/2304, 
  -258823/4608, 863/1152, 309749/4608, -16939/4608, -4967/1152, -766447/4608, 
  -1301/4608, 245629/2304, -863/1152, -699347/4608, 16939/4608, 990647/4608, 
  64933/768, -4, -1296841/1152, -24457/576, 4439/1152, 1272358549/720000, 
  -194924183/2880000, 57/8, 770567/7200, -231805/2304, -2187/64, 
  1396961/1152, -325688567/1440000, -159857611/96000, -5784361/57600, 
  132402217/480000, -26545/576, -49927/384, 1282235/13824, 103661/2304, 
  585389933/1440000, -21179/1152, 695647/6912, -40183489/345600, 
  -415343683/1440000, 4303807/172800, -533297/1536, -341241673/2160000, 
  -815497723/960000, 320844071/4320000, -2723898349/2880000, -17617/1152, 
  55757/512, -27563/4608, -8519/1152, -889391/4608, 101867/4608, 245629/2304, 
  17617/1152, -589907/4608, 27563/4608, -216581/4608, 44047/2304, 5131/48, 
  21029/384, 1045/16, 4093/32, 595/8, -103/4, -17723/24, -23063/16, -293/96, 
  -2677/16, 3668/3, 15513/32, 199/2, -607/16, 1711/12, -17/2, 39067/576, 
  -17105/96, -143729/1152, 359/16, 197/12, 31/16, 39, -112501/576, 26245/96, 
  110491/576, -14455/48, 19981/384, 743/32, 16009/96, 36097/48, 7721/384, 
  4307/24, 5239/384, 127/32, -70475/96, -9143/32, -1411/16, -11017/128, 
  -35929/192, -1811/16, 17179/64, 103145/768, -539/32, -62911/96, -10217/12, 
  -62887/384, 3189/32, 46099/384, -1507/32, 61325/96, 2703/16, -1427/16, 
  88133/384, -5353/192, -16049/48, 12611/64, 235969/768, -3203/288, -25/2, 
  1117/144, 25/2, 323/96, -625/288, -511/24, -167/32, -137/24, -29567/1152, 
  -17867/288, -118223759/720000, -218383/7200, 3941/600, 1073/32, 66535/576, 
  -231/64, -37031/576, -143491/1152, 27875/1152, -17009/144, -1255/576, 
  9247/576, 9457/288, 6212425/6912, 472363/3456, -134421163/432000, 
  -2511397/21600, 167554561/216000, 191/72, -221/12, -749/288, 221/12, -5/96, 
  -41/24, 7/3, -771/64, -313/24, 24361/576, -77/24, -4363/576, -555/16, 
  4069/96, -873/8, -1895/32, -6911/96, -1093/32, 741/16, 29/8, -1497/32, 
  -7/2, 1733/192, -611/32, 583/8, 5569/64, -14633/288, -869/16, 29999/288, 
  869/16, -2561/48, 11669/288, 313/12, -805/16, -209/24, -38009/1152, 
  -27337/576, -134108759/720000, -1927841/14400, 1027/75, -561/32, 25/48, 
  1261/96, -25/48, 211/48, 11609/288, 313/12, -2669/48, -209/24, 221359/1152, 
  791/576, -96293753/240000, -1869641/14400, 587017/7200, 565/32, -441/64, 
  -13559/576, 389/32, -11173/576, 8831/576, -3229/288, 1097/32, -16255/192, 
  -6913/576, -11417/144, 1691/96, 281/4, -42323/432, 1829/36, 9929/288, 
  404971/3456, -1523/1152, -987/4, -1553/48, -65707/864, 64, -584131/1728, 
  -64969/864, 346316429/2160000, -81929/5400, -1461144983/1080000, 251/2, 
  17957/72, 273/16, -37187/288, -242657/1152, 27875/1152, -16627/72, 
  -3763/144, 10909/96, 3865/72, 572597/384, -288167/576, 88781183/240000, 
  -185149/900, 205278677/360000, 325/4, -11035/144, -103/4, -613/18, 
  6523/144, -467/18, -149/8, 14461/72, 6559/144, -7261/24, -22651/72, -21/16, 
  -61/16, -679/144, 7/16, -623/216, 7/4, -13/12, -31/16, -31/9, -1363/432, 
  -5/4, -1/16, -6247/4608, -74605/1152, -527/81, 2328336107/4320000, 
  19241917/259200, 3542876807/8640000, -53/3, -583/12, -103/4, -6623/144, 
  -1519/72, 1603/72, -1559/72, 2927/216, 4229/54, 3875/72, -3248443/27648, 
  -138657123/640000, 3614269/57600, 1370588567/8640000, -32/3, -61/4, 
  -2071/72, 53/3, 2171/216, 1933/36, 2867/72, 2979/128, -102265/1024, 
  159761/4608, 796447/6912, 1533931/9216, 147/16, 1713/64, 45749/1152, 
  41173/1152, -7655/768, 439554137/5760000, 35699279/5760000, 1/2, -89/2, 
  495973/6400, 283243/1536, 23/8, -147/16, 719675/2304, -2282743/57600, 
  -40167869/160000, 139/16, -774923/2304, 1/2, 18037933/240000, -143789/2304, 
  -7891/2304, -394745/1152, 212111/9216, 531731/2304, -46187/4608, 
  167717/2304, 967169/4608, 43373/288, -178115/768, -3/4, -3/4, -199691/1152, 
  3/4, 143789/2304, 12521/384, -260819/4608, -507/8, 6361/96, -164327/1152, 
  -12521/384, 62615/4608, 132401/2304, -12521/384, 8233/192, 1193/96, 147/4, 
  887/1152, 263579/2304, -147/4, -40519/4608, -292211/2304, 36971/4608, -1/8, 
  697/64, -225377/2304, 2197/64, 229253/2304, 1/2, 1/4, -947/96, -3/8, 
  -4529/96, 573/8, -997/32, -6097/96, 12367/192, -573/8, -6443/96, -1103/64, 
  -3121/384, -28031/1152, -270227/2304, 257671/4608, 288953/2304, 
  -145547/4608, 1/8, 1/4, 241991/2304, -1/2, -262151/2304, 1/8, -7/2, 
  11005/384, -14233/128, 6241/96, -1311/128, -2881/384, -1/4, 41/16, 49/48, 
  1/2, 2782061/6912, 41545/1152, 629/48, -307533443/1080000, -18049/576, 
  -1/8, -78637/900, -1362427/6912, -1/8, -41/16, -17/16, -1071145/3456, 
  -295651783/2880000, 5418365/13824, 186401/43200, -11430241/28800, -59/8, 
  -96701/4608, 27/8, 22025/768, -351943613/2880000, 57/16, 
  -308027173/1920000, 39664327/960000, -1963/128, -1/2, -243/16, 
  -144031/1536, -6239/64, 3/2, 37/4, 83/8, -3/2, 75/8, -244607/4608, 
  83869/576, -22171/1152, 40898731/96000, 143217191/720000, 187/128, 
  47183/1536, -12401/2304, 4583/384, 35555/1152, -114827021/720000, 
  -276747313/1440000, -32467/2304, 1315/128, 1669/32, 8867/64, -5385/64, 
  -3/2, -57823/192, -403919/576, -163651/768, -3253/16, -12863/32, -1199/16, 
  21047/32, 589001/576, 1657/8, 254, -29743/48, -99/4, -2381/64, 98329/576, 
  131255/1152, 55397/192, 281799137/480000, 3657/64, -4867/36, -286153/576, 
  -107/16, -31979/576, -27626213/160000, -59174663/360000, 1961/36, 
  84133271/1440000, 175/16, -1683/16, 3/8, -21/8, 99299/2304, 
  7574671/1440000, -85/16, 584239691/2880000, -35944327/960000, -15/2, -5/4, 
  135/16, 208069/1800, 49099/576, 14, -73/8, -107/16, 62/9, 129815/576, 
  43433/384, -1057909/11250, -164652191/720000, 215/16, 27/4, -547/6, -9/4, 
  -2777/144, -82093271/360000, 84073271/480000, 2669/144, -1/4, -717/64, 
  -3295/128, 3/4, -3175/192, -43693/768, 36229327/1440000, 397/64, -17/12, 
  -463/128, -39/4, 733/64, 3279/128, -9/8, 19177/576, 40354301/160000, 
  361802507/1440000, -413/64, -47/24, 39745/1152, 39/4, -713/48, 
  -47087389/240000, -23839099/60000, -17789/576, 29017757/240000, 409/16, 
  -1022551/2304, -40429/1152, -18191/576, 460912087/720000, 2784789/80000, 
  -1131/16, 59069/800, 16945/576, -7/4, 81/4, -409/16, -13435/24, 
  13385827/720000, 7175/576, 1274527819/1440000, -1284789/80000, 1131/16, 
  4309/48, 8869/192, -41/2, 2312311/2304, 16116753/20000, -718137331/480000, 
  -1169171/7200, -18944027/24000, -542185/4608, 36865/2304, -887/384, 
  -178613/576, -361277/2304, 36203/1536, 361931/4608, -2, -1/8, 209831/1152, 
  -47/4, 654371/2304, 260639/768, -119195/2304, 1/4, -1, -250475/1152, -1/8, 
  214553/1152, 517705/4608, 31525/288, 100297/2304, 112680643/720000, -219/8, 
  -428029/1152, -10091147/57600, -170767/2304, 215837/1152, -7153/384, 
  -962/225, 4, 22933/384, 573/32, 22871/384, -9/8, 119993/1152, 194717/2304, 
  1/8, -732707/4608, -4559/96, -197/32, -89/32, 25/8, -153395/2304, 37/8, 
  2549/96, 29/8, 53/8, -135847/4608, 29411/192, -1/2, 82307/384, 329/384, 
  2803/64, -4111/48, -3/8, 7919/192, 97/8, -418279/4608, 169/8, 3845/32, 
  867/16, 137/2, 343/16, 1382671/2304, 46285/1152, -33167/576, 
  -2451681473/2880000, 18689/768, -385/8, -4450285/6912, -4919309/28800, 
  21371/288, 7467523169/8640000, -26467/1152, 531/4, 216091/1200, 32825/432, 
  -209/8, -343/16, -33629/576, 402563/7500, 37049/576, 1045648937/1440000, 
  -62195/2304, 1228835/13824, -3496967/67500, -195822557/160000, 
  -280387/4800, -1248155/2304, 7770247/22500, 14487943/160000, 
  -6486392263/8640000, -105407359/240000, -569/32, 8611/96, 9787/24, 
  25719/32, -175223/1152, -110737/96, -29801/48, 36079/384, 30671/96, 
  24805/576, -237/32, 7175/96, -16565/24, 115291/192, 26053/24, -21317/96, 
  171/4, -113/4, -59705/96, -2, 279013/1152, -4537/9, -55386339/32000, 
  -65533/288, -154984519/1440000, -2009/24, -14909/32, 24003/32, 198281/384, 
  3403/32, 480187/2304, 61800637/180000, 99971/576, 29971/384, 9395/96, 
  -1671/64, 1683/32, -49, -137/24, -11885/96, 49, 6031/192, 1709/24, 13/32, 
  1999/64, 69/8, -10925/576, 229/12, -1011/32, -23/8, 5/12, 49993/384, 
  -26501/384, -151543/1152, 6301/128, -2251/64, -82303/1152, -43/12, 
  -15103/576, -31/24, 7093/144, -571/16, -2721/32, -12763/288, -141/2, 
  1565/32, 140935/576, -21/16, -31757/576, -282545/1152, 9875/1152, 2629/48, 
  -235729/864, -14297/288, -13/576, 1605803/6912, 1357/2304, -2983/16, 
  4513/96, -205949/1728, 375/8, 183/32, 311837/768, 181169/1152, -613/36, 
  1396684433/1440000, 56435/2304, 17603/256, -2860067/17280, 
  -210963299/864000, -317063/2700, 649283/2304, 714256031/720000, 
  -20427943/160000, -456571007/432000, 105407359/240000, -27/4, -281/48, 
  21/4, -637/144, 367/24, 1369/72, -10723/432, -357/16, -241/24, -6979/432, 
  -1165/144, 11/16, 35/16, 3937/216, 119/4, -491/12, -3125495/4608, 
  -65077/1152, 26999/256, 2719087723/2880000, -69821827/720000, -597655/1728, 
  141187/900, 5793151517/8640000, -2665487/16200, 1341217/4608, 
  -19210201/180000, -3437436307/2160000, -5013083929/25920000, 
  -401567707/720000, -1465/64, -22309/288, -60131/1152, 97583/2304, 
  164576063/1920000, -374396113/5760000, 707/16, 198723/6400, 
  -15783793/115200, 1/4, -266149/768, -5419481/90000, 38163089/1440000, 
  13106153/57600, 372762071/1440000, -2985/64, 2675/72, -4408177/30000, 
  -1036997/2304, -168959893/720000, 968417593/2880000, 1617/64, 44783/3600, 
  241649/2304, -63/4, 8651/24, 54862567/180000, -17476949/120000, 10579/192, 
  196154327/720000, 56723/1536, 377411/2304, 867/8, -155899/1536, 79465/1536, 
  1328701/9216, -166115/4608, -292403/2304, 508457/2304, -56279/2304, 
  841285/4608, -1441/12, -1054717/4608, 1315/128, 24133/1536, -1583/16, 7/2, 
  272717/576, 365175529/1440000, -2360449/4608, -38183/2304, 45/8, 
  -222755/2304, 17, -208567/4608, -30068113/180000, -118061/768, 
  -626801/2304, -102601/192, -4613/64, 6749965/6912, 38879939/115200, 
  7675/2304, -605929693/1080000, 231577741/5760000, -66859/4608, 
  -710461/38400, -5319823/13824, 334873/2304, -1388575/6912, 
  2617402751/8640000, 19578391463/8640000, 87636593/172800, 
  -322085437/2160000, 67447/1152, 282011/2304, -925135/4608, -282011/2304, 
  218449/1536, -93125/256, -37/24, 807637/2304, -19/12, -118903/1152, 
  30035/576, 3897497/240000, -1640791/14400, 481/225, -3427/1152, 
  -4137997/4608, -24821/288, 544033/4608, 725203/1536, -83347/1536, 
  1236587/3456, -21476617/172800, -27938674193/8640000, -137735393/172800, 
  -121531/128, -103731761/115200, -7979715311/2880000, -5185867403/8640000, 
  -2080587403/1440000, 85/16, -56653/2304, -17897771/480000, -2563/128, 
  200681/57600, -1707/128, -3643/1152, 324089/14400, -83941/2304, -4041/128, 
  3613/64, 400997/4608, -79/8, -204353/4608, 914825/4608, 1849349671/5760000, 
  -23467/128, -33/8, 39679/4608, 47, 487817/2304, 32764481/96000, 
  425138783/1152000, -53647/4608, 1033918207/2880000, 2252401/1536, 
  -3923/288, -8743/768, 2187848513/2880000, 312193/9216, 27/16, 
  9619193/28800, 840151/4608, 1259/128, -2252401/1536, 13168339/240000, 
  -578462597/720000, -42910597/115200, -29697517/720000, 12659/576, 
  -293483/144, -160212517/48000, -606233/1152, -52658273/1440000, 
  145151531/480000, 15911/16, 97999/32, 22445/96, -7537/6, 153515/192, 
  3023312119/1440000, -1746517/15000, -20099/24, -904998961/1440000, 2607/64, 
  -3803/288, 539/24, -100345/2304, 21962627/288000, -39452021/720000, 
  -1911/64, 61/24, 3121/480, 41/4, -391/2304, -262791071/1440000, 
  -57598507/240000, -5609/320, 238401271/360000, -3295/24, -4401593/3456, 
  111950453/864000, 2065/18, 3515741/34560, -45959467/288000, 3421/8, 
  -2049563/21600, -5353/288, -869/4, 5166401/3456, 187752957/160000, 
  -26554081/43200, 1292737/4320, -87651509/54000, 17219/384, -871199/9216, 
  -193/24, -169201/4608, 294541/3072, 34649/4608, -427445/1728, 64303/1728, 
  1892045089/5760000, -705287/32400, 105403/9216, 76978369/1440000, 
  1171950247/8640000, 4177767821/51840000, 236424221/960000, -190121/4608, 
  -1273/144, -505/12, -134503/1536, 69304279/1440000, 333301/4608, 
  536951/2304, 9, -106199/2304, 22/3, 287123/576, -23808029/1440000, 
  105194381/480000, 243433/7200, 9681103/115200, -2015/1152, 14445623/13824, 
  -2320577/13824, 312751/4608, -39180314237/8640000, 17655187/320000, 
  -2091065/13824, -258671627/345600, 25523637899/8640000, 75763909/86400, 
  -26062607/13824, 559076597/960000, 142458631/69120, 346434581/960000, 
  -9504891721/8640000, -29495/144, 2046043/9216, 589/24, 611603/2304, 
  -1100281/9216, -352311641/2880000, 9285191/6912, -7981/108, 
  -3651519077/1920000, -9989827/32400, -286865/1024, -258635117/960000, 
  9399209267/3456000, 97000358341/51840000, -131533409/57600}}
