{{1, 2, 1, 1, 1, -1/2, -2, -2, 3/2, 2, -3, -4, -1/2, -3, -2, 3, 3/2, -2, 3/2, 
  -3, -4, -1, -3/2, -7/2, 1, 3/2, -1/2, -3/2, -3/2, -7/2, 1/2, 3/2, 1/2, 3/2, 
  3/2, 2, -4, -3, -4, 3, 3, -3/2, 3/2, 1, 1, -5/2, -1, 1, -1, -5/2, 2, 2, -4, 
  -4, -1, -2, -1, 1, -1, 1, 3/4, -1/2, 2, -4, -2, 1, 1, 3/2, 3/4, 11/4, -1/2, 
  -3/4, 1/2, -1, -1/2, -1, -1/2, 1, -1/4, -1/4, -3/4, -1/2, 7/8, 1/4, -25/2, 
  -3, -3/2, -1/2, -6, -6, 27/2, 6, -15/2, 9/2, 6, -6, 15/4, -24, -3, 51, 3, 
  -27, 9, -9, -45/2, -12, 51/2, -15/2, 2, -5/2, 25/2, -8, 3/2, -2, -9, 9/2, 
  13, 7, -6, -57/4, 1, 45/2, 7/4, 21/4, 27/4, -4, -25/4, -5, 9/4, -75/4, 
  87/4, 53/4, 47/4, -39/4, -51/4, -11/2, 57/2, 127/4, 21/4, 9, 1/4, -137/4, 
  5/4, -65/4, -51/2, 87/4, 37/2, 47/4, -37/4, -11/2, 135/4, 33/4, 1/4, 
  -143/4, 5/4, 5/4, -21, -15/4, 83/4, 37/2, -3/2, -1/2, -9/4, 1/4, -3/4, 
  -9/4, -5/4, 1/4, 3/2, -10, 15/4, 23/4, -1, -29/4, -11/4, -11/4, 1/4, 3, -3, 
  -6, 6, 3/4, 16, 11/2, -69/2, -11/2, 37/2, -5, 4, 9, -5, 4, 4, 61/4, 6, -5, 
  -51/4, -3/2, -1/4, 5, -4, -29/4, -3, 23, -1, -7/2, 5/4, -11/4, -5, -1/2, 
  -2, 1/4, -53/4, -3/2, -5/8, -3/4, 73/4, -1, 37/4, -45/8, 11/12, 13/12, 
  -1/12, 13/6, 3/2, 5/2, -5/12, -9/8, -1, -2/3, 4/3, -8/3, 6, 6, -4, -75/4, 
  7/2, -49/4, -45/4, 7/4, 3, 25/4, -9/2, 18, -27/2, -59/4, -14, 9/4, 9, 11/2, 
  -6, -12, -2, 99/4, -1/2, 25/4, 27/4, -31/4, -9, -4, -18, 75/4, 17, 14, -6, 
  19/4, 13/4, 6, -19/2, 51/4, -2, -47/4, -45/4, -5/2, 5/4, 5/2, 12, -51/2, 
  27/2, -57/4, -3, 3/4, 59/4, -51/4, -17/4, 6, -19/4, -27/4, 53/4, -27/4, 
  5/2, -53/4, 25/4, -27/4, 5/4, 23/4, 17/2, 8, -77/4, 3/2, 7/4, 27, -5/2, 
  -11/2, 9, 3, -91/8, -13, -2, -4, -2, -2, -2, 1, 3, 3, -1, -2, 2, 4, 1, 2, 
  2, -2, -1, 2, -1, -3/8, -3/8, 2, 4, 2, 27/8, 1, 11/8, -3/8, 5/8, 5/8, 27/8, 
  3/8, -11/8, 3/4, -5/8, -11/8, -3/8, -2, 4, 2, 4, -2, -2, 5/8, -5/8, -3/8, 
  -1, -3/2, 11/8, 3/2, 9/4, 2, 27/8, -3/2, -1, 3, 2, 3/2, 3/2, 3/2, 2, 1/16, 
  -5/8, -1, 2, 3/2, 3/2, -5/8, 1/16, -31/16, -5/8, 1/2, -1/16, -1/2, 1, 1/2, 
  1/2, 1, 1, -1, 5/16, -3/8, -1/2, 7/16, 5/8, 9/16, 3/4, -9/16, -1/16, 3, 
  59/4, 19/2, 9/4, 5/4, 3/4, -15/8, 11/2, 121/16, -117/8, -121/16, 73/8, 
  3/16, -121/16, 55/16, -163/16, -33/16, 33/16, 33/16, 77/2, -19/4, -337/4, 
  19/4, 183/4, -45/2, 45/2, 141/4, 121/8, -85/2, 83/4, -33/8, 1/4, 5/4, 
  -59/4, 1/2, -43/4, 37/4, 25/4, -17/4, -29/4, -13/2, -1/2, 7/2, -3/8, -93/8, 
  9/16, -61/16, 9/4, -9/4, 9/16, 101/8, -9/2, 7, -215/16, 7/4, -57/8, 77/16, 
  23/8, 31/16, -16, -293/16, -61/16, -155/16, -39/16, 287/16, 11/2, 11/2, 
  35/4, -215/16, 1/2, -57/8, 75/16, 31/16, -333/16, -43/16, -39/16, 357/16, 
  11/2, -75/16, 125/16, 45/16, 5/4, -39/4, 9/4, 5/4, 5/4, 9/4, 15/16, 5/4, 
  41/16, 9/4, -5/16, -1/3, -3, -4/3, 91/6, 23, 3/2, 91/6, 3/2, -41/16, 
  -51/16, 7/8, 85/16, 27/16, 7/16, 75/16, -3/2, 3/2, 39/16, -53/16, -5/16, 
  -41/2, 371/8, -215/8, -3/4, 69/8, -21/2, -15, 12, 3/4, -29/8, -19/4, 
  -181/8, -121/16, 15/2, 159/8, -5/8, -4, -91/8, 71/8, 11/8, 33/16, -11/8, 
  83/16, -5/16, -81/4, 41/16, 9/8, 3/8, -21/8, 79/16, 21/8, -19/8, -3/8, 
  53/16, -47/16, 203/16, 3, 29/16, 61/8, 3/4, -135/8, -33/16, -81/8, 4, 
  -35/36, 101/144, -3/4, 145/144, -41/36, -107/48, -1/8, -145/48, 25/72, 
  -25/48, -3/4, 13/48, 7/18, -11/9, -1/2, 19/18, 1, -11/2, -121/16, 3/2, 
  401/16, -109/16, 359/16, 15/2, 25/8, 157/16, -107/8, 81/16, -43/2, 85/4, 
  257/16, 20, 11/8, -73/16, -73/8, -27/4, -3/2, -23/8, -9/4, 11/2, 209/16, 
  97/16, -621/16, 61/8, -139/16, -9/2, 89/16, 57/8, 113/8, -33/16, 311/16, 
  -567/16, -245/16, -20, 55/4, -77/8, -121/16, -55/4, 207/16, -251/8, 4, 
  85/4, 213/8, 77/8, 19/16, -41/8, -77/4, 337/8, -183/8, 429/16, 57/2, 45/16, 
  -77/4, 59/24, 631/16, -11/2, 131/16, 63/8, -139/8, 147/16, 9/8, 147/8, 
  -109/16, 29/16, -9/2, -35/16, -23/8, -8, 707/48, -12, 157/16, -333/8, -1/4, 
  21/8, -3, 53/3, -63/2, 9, 23/6, -23/6, 377/96, -3/32, 3/32, -89/12, 1, 
  113/12, -577/96, 599/96, 907/96, 29/6, 23/3, -35/6, -23/3, 1, -29/6, 26/3, 
  -17/3, 599/96, 979/96, 23/3, -23/3, -29/6, 26/3, -497/96, -17/3, 91/12, 
  979/96, -11/32, 1967/96, -1967/96, -2015/96, 3/32, -3/32, -3/32, -1/2, -1, 
  -1, -1/2, 1, -1/2, 1, -1, -1/2, -1/2, 653/576, 35/16, 1121/96, 433/576, 
  -791/96, 871/192, -347/48, -611/48, -431/96, -1475/288, 545/144, 845/288, 
  -509/144, 35/16, -2231/576, -367/24, 277/64, 1727/192, 431/96, 853/192, 
  -347/48, -605/48, -431/96, -167/72, 185/72, 3157/576, -367/24, -2437/192, 
  1727/192, 185/72, 853/192, -1529/288, 799/96, -211/48, 3/8, 3/8, 1, -1, 
  3/2, 1/8, -2, -3/2, -7/8, 3/8, 7/8, 7/8, 1/8, -7/8, -3/2, 7/8, -3/4, -7/8, 
  -1/8, 3/8, 1, -1, -1, 7/8, -7/8, 3/8, -23/6, 1/2, -787/576, 1/32, -7/32, 
  -1781/192, -3/32, -253/144, 3/32, -167/72, 185/72, 23/64, -147/16, 
  -1289/192, -1/2, -23/64, -1/2, 185/72, 853/192, -1529/288, -2951/288, 1/16, 
  1/16, -431/96, -2725/576, 589/96, -623/96, -1/16, -1/2, 3/32, -601/48, 
  547/48, 329/24, -1, -3/32, -799/48, 2581/576, -4627/576, 617/96, 6167/576, 
  293/24, -409/48, -61/4, 461/288, -479/288, -1/2, 1, -1/2, 1/2, 95/6, 43/3, 
  -1, -95/6, 3013/576, -553/96, 617/96, 6203/576, 559/48, -409/48, -249/16, 
  461/288, -479/288, 1/2, 43/3, -95/6, -1/16, -571/144, 559/48, -115/12, 
  -249/16, -1/4, -317/288, 43/6, -1/2, -1/16, 25/64, 565/96, -73/32, 3/64, 
  3/16, -1/4, 3/8, -3/16, -407/144, -5/8, 3949/576, 143/96, -129/32, 
  -1267/192, -881/96, -1489/576, -637/96, 613/576, 643/192, 139/576, 
  -877/192, -1189/288, 73/32, -3/4, 4189/576, -3/4, -97/144, -3/16, -7/48, 
  -595/72, 51/8, 287/24, -51/8, -1967/192, 1967/192, 1919/192, -3/64, 3/64, 
  3/64, 1475/288, -293/48, -845/288, 293/48, -35/16, 449/48, -817/48, 
  -553/288, 553/288, 2129/96, 3/32, -1, -19/8, 15/4, 19/8, -11/4, 1559/192, 
  19/8, -1895/192, -1031/192, 91/64, -91/64, -91/64, -5795/288, 509/48, 
  10493/288, -509/48, -261/16, 79/48, 289/48, -3335/288, -19/4, 4343/288, 
  -3017/96, 85/32, 3/2, 147/64, -703/96, 535/576, -5765/576, 79/32, -1171/96, 
  -1199/48, 221/576, 55/4, 21/32, 389/96, 2185/576, 823/96, 449/96, -253/72, 
  4853/576, 25/16, -19/32, 721/16, 16921/576, -409/48, 889/192, -515/144, 
  -605/48, -431/96, 3/2, 109/64, 583/96, 193/576, -245/576, -59/32, -1171/96, 
  -2425/96, -517/576, 51/4, 5/4, -311/32, 4165/576, 425/48, 485/96, 985/288, 
  -1909/576, -487/96, 251/64, 2651/288, -59/32, 2479/576, 577/32, -5435/576, 
  -1567/192, -769/288, -145/18, 4165/576, 1031/144, 485/96, 23/576, -487/96, 
  131/18, -461/144, 577/32, 1639/576, -1567/192, 697/576, 391/144, -395/144, 
  -16597/576, 2141/576, 57/64, 63/64, 3/32, -143/192, -67/96, -43/48, 29/8, 
  199/48, -367/192, -17161/576, -6659/144, 923/144, 22483/576, 9/16, -47/16, 
  485/96, -5/32, -2917/576, -269/96, -149/96, -1385/576, 95/16, 409/48, 
  1241/576, -183/32, 1103/288, 249/32, -1085/288, -2219/576, -1555/144, 
  -151/48, -149/96, -1385/576, 5081/576, 749/96, 1241/576, -197/32, 1103/288, 
  249/32, -1085/288, -2477/288, -151/48, -2177/576, 193/72, 749/96, 1169/576, 
  -197/32, 1553/288, 65/8, -1175/288, -65/36, 1345/72, -325/24, -1061/72, 
  65/36, 2749/160, 1709/384, -10/9, 15001/1440, 184693/11520, -41/64, 
  2941/360, -589/96, 2387/480, -421/480, -1295/384, -2507/480, 1217/128, 
  -3031/360, 7391/768, -283/240, 43973/11520, -969/256, 29/24, -31/24, 
  -425/24, -601/24, -163/24, 407/24, -1949/240, 553/96, -1669/360, 4607/5760, 
  -937/768, -601/24, 407/24, 58621/2880, 1475/576, -211/288, -845/576, 
  139/288, -35/32, 1183/576, -1363/96, 427/576, 1309/96, 31/16, -401/96, 
  -175/96, -2033/576, -871/192, 3611/576, 3/32, 18419/576, -1567/288, 
  -1003/48, 55/12, -3/32, 6325/576, -371/32, -9727/576, 371/32, 205/32, 9/32, 
  227/24, -677/96, -2005/48, -139/16, -9/32, 1565/96, 167/288, 11165/576, 
  19/8, -2879/288, -1549/144, -433/576, 443/64, 3433/288, -1789/192, -143/24, 
  -85/64, 51/32, -463/288, 383/48, -33/16, -37/6, 43/16, 3/32, -185/32, 
  547/48, 415/16, -1, -3/32, -799/48, 823/288, -385/32, 1727/288, -47/64, 
  -2393/576, -257/48, 5/288, 1183/192, 131/24, 1/32, -667/576, -1247/288, 
  -275/576, 9/16, -25/64, 2965/288, 2327/576, 5/8, -51/64, 13/16, 37/18, 
  3155/576, -227/144, 15/32, 7/12, 65/36, -125/12, -325/24, -9/4, 337/24, 
  1/16, 4525/288, -71/12, 5/2, 509/96, -14/9, 199/144, 1, 19/8, 1/4, 
  -953/144, -953/576, -37/4, -955/96, -5687/192, -85/9, 179/8, -91/64, 5/3, 
  -1325/576, 1553/192, -193/96, 1385/576, -91/16, -305/32, -853/192, 
  1511/576, 317/18, 8425/192, -163/144, -5329/192, -133/576, 487/64, 
  -1949/576, -1, -27/8, -21/8, 1889/144, -127/576, 11/4, 955/96, 5087/192, 
  59/72, -191/8, 91/64, -7/24, 5429/576, -1841/192, 193/96, -5129/576, 
  3535/288, 16, 2101/192, -1831/576, -403/144, -9403/192, -121/16, 3157/192, 
  -4201/576, -761/64, 5419/576, 5795/576, 1723/576, 3/16, -10493/576, 
  -3475/576, 261/32, 42593/2880, -223/144, -28811/960, 11261/384, -45/32, 
  -1003/192, 4163/576, -27467/2304, 551/96, 337/288, -2509/576, -875/288, 
  -659/96, 355/144, 11539/576, 9775/288, -1481/192, -5953/192, 1333/288, 
  835/96, -77/9, -267/64, 691/288, 2221/288, 4439/1440, -23/18, 8657/720, 
  -4123/128, 1331/576, 6137/1152, -821/720, 183769/11520, -1201/128}}
