{{1, 4, -1, 0, -4, 0, 0, 0, 4, 2, 0, -1, 3/2, 0, 0, 0, -7, -2, 0, 2, -1, 0, 
  0, 9, -1, 0, 8/3, 32/3, -8/3, 0, -27/2, -1/3, 27/2, 23/2, -21/2, -1/6, 0, 
  -39/4, 43/12, -7/4, -1, -121/12, -1, 0, 0, 15/4, 63/4, -2/3, 0, -63/4, -1, 
  -16, 0, -1, 257/12, 8/3, 18, 7/3, -4/3, -27/2, -97/6, -3, 27/2, -281/12, 
  67/12, -13/12, 103/6, -41/4, 0, 0, -9/2, -83/12, 43/12, 23/12, 91/12, -1/3, 
  0, 0, 45/4, 19/6, -95/12, 0, -27/4, -1, -3/2, 0, -13/12, -175/12, -23/3, 2, 
  1, 79/12, -1, -1/2, -3/2, 15/2, 1, 1/2, -2, -2, 0, 3, 3, 2, 14, -3, 3, 0, 
  -4, 8/3, -4/3, -11/3, 2, -15/2, 5/2, -1, -13/2, 1, -1, -1, 3/2, -2, 1, 
  -3/2, -4, 67/12, -3, 15, -133/12, 0, -5/3, -2, 544/3, 74/3, -158, 163/6, 
  -503/6, -101/6, 163/2, -103/6, -227/6, 13/2, 19/3, -5/3, -3, 17/4, 55/4, 
  -2/3, 7/2, 3, 0, 7/4, 0, -41/4, 0, -1/3, 39/4, -3, -3/2, 0, -11/2, -19/2, 
  -43/12, 5/2, 11, 1/2, -3/2, 11/2, -1/2, 1/2, 0, 0, 37/12, 109/12, -1/3, 0, 
  0, -109/12, 0, 0, 1/2, -8, -1/2, -1/2, 0, -1913/18, 0, 553/36, 604/9, 59/9, 
  185/2, 544/3, -125/4, -158, 32/3, -1961/18, 121/36, 493/6, 40/3, 0, 47/36, 
  47/36, -89/18, -89/18, -27/4, -145/18, 89/18, 27/4, 0, 0, 0, 0, 0, 1/2, -2, 
  0, -14, 0, 0, 11/2, -23/2, -43/4, 103/4, -11, 1/2, -1, 0, -1/2, -233/3, 
  -113/6, 173/6, 49/12, 47/12, -89/6, -81/4, 75/4, -7/2, 5, -2, 27/2, -48, 
  23/2, 26, 91/6, 3/2, -19/12, -37/12, -3/2, 0, 344/3, 217/12, -103, -22, 0, 
  0, 219/4, 98, -45, -125, -3/2, -7, 3/2, 0, 6, 0, 1, 0, 0, -7, -2, 0, 5/2, 
  -7/4, 0, 0, -1/4, 83/12, 4, -1/4, -11/2, -1/4, -3/8, 0, -127/6, 13/4, -1/4, 
  -76/9, -371/18, 653/72, -1/4, 127/4, -1/9, -127/4, -53/2, 7, 34/9, 0, 
  123/8, -157/18, 71/24, 3, 983/36, 3, 0, 0, -95/8, -673/24, 169/36, 0, 
  673/24, 13/4, 86/3, 0, 13/4, -2639/72, -67/9, -58/3, -739/72, -139/36, 
  127/4, 1411/36, 25/4, -127/4, 761/18, -235/18, 65/9, -2117/72, 209/8, 0, 0, 
  73/12, 53/18, -74/9, -289/36, -787/72, 157/72, 0, 0, -311/24, 97/72, 118/9, 
  0, 55/8, 3, 35/8, 0, 799/72, 905/36, 587/72, -25/4, -13/4, -533/36, 13/4, 
  13/8, 35/8, -215/24, -3, -11/8, 1/2, 5/2, 5/2, 0, -4, -4, -3, 0, 2, -10, 7, 
  -1, 5/2, -1/2, -11/2, 0, 9/2, -77/18, 41/36, 353/72, -6, 95/6, -31/4, 3, 
  247/16, -13/4, 3, 3, -31/8, 233/48, -13/4, 37/8, 12, -871/72, 11/3, -163/6, 
  245/9, -1, 53/18, 4, -2665/9, -233/36, 779/3, -1787/36, 531/4, 487/18, 
  -1357/12, 211/8, 7/6, 7/6, 2089/36, -41/3, 139/18, 41/9, 5/2, -47/12, -10, 
  -223/72, -247/24, -5/2, 0, -2/3, 0, 35/3, -1, 19/72, -283/24, 25/4, 33/8, 
  0, 109/12, 605/48, 449/144, -57/8, -109/6, -9/8, 35/8, -37/12, 9/8, -11/8, 
  0, 0, -121/18, -425/36, 157/72, 0, 0, 425/36, 0, 0, -11/8, 31/3, 11/8, 
  11/8, 1/2, 6023/36, -2, -4255/72, -7597/72, 403/72, -1963/12, -2665/9, 
  6053/72, 785/3, -1667/144, 7115/36, -2581/72, -1793/12, -5819/144, 0, 
  -133/36, -35/9, 485/36, 239/18, 127/8, 1381/72, -499/36, -127/8, -7/36, 0, 
  0, 7/36, 0, 0, -5/4, 7/2, 7, 1, 18, 0, 0, -21/4, 199/8, 167/12, -107/2, 
  1465/48, -11/4, 29/6, 0, 1/4, 4763/36, 3305/72, -1735/36, -2803/144, 
  -151/18, 1123/36, 273/8, -731/24, 87/8, -67/4, 7, -331/8, 1777/24, 
  -1697/48, -179/12, -6263/144, -31/8, 703/144, 1261/144, 31/8, 0, -3229/18, 
  -365/18, 967/6, 313/12, -7/12, 0, -1975/16, -741/4, 187/2, 4727/16, -7/18, 
  0, 8/9, 0, -7/18, -7/9, 0, 61/18, 0, -7/18, 0, 7/18, -7/18, 7/18, -1/9, 
  7/18, -11/9, 0, -11/18, 7/18, 0, 11/6, -7/6, -7/9, 7/36, 7/36, -1/3, -4/9, 
  1/2, -65/36, 0, 7/36, 0, 5/2, -9/4, 7/18, 133/36, 37/8, -1, -1/9, 23/18, 
  25/18, 29/18, -25/36, -7/36, 65/36, -7/18, -7/36, 0, -5/2, -91/36, 7/48, 
  -29/18, -103/72, -101/72, 1/2, 19/36, -25/4, -8/9, -47/36, 0, 8/9, 199/36, 
  97/48, 19/12, -263/72, -289/72, 0, 25/36, 73/6, 0, -14/9, 91/36, 799/144, 
  89/9, 1/24, -25/6, 91/36, -835/48, 77/36, 439/24, 1181/72, -7/36, -7/18, 
  -7/36, -7/36, -7/36, -2, -65/36, 7/36, 2, 1/2, 163/36, 13/48, -13/36, 
  -25/18, -49/24, 0, -2, -227/36, -41/24, 241/36, 137/36, 1/2, -209/72, 29/6, 
  -77/12, 0, 7/36, -181/36, 0, 2, -11/36, -163/16, -9/2, 65/36, 0, 7/36, 
  667/72, 349/24, -157/72, 0, 7/36, -1019/72, 0, -1/4, 247/72, -47/6, -9/8, 
  -31/8, 943/72, 79/16, 7/18, 377/36, 7/36, -73/4, -1577/72, -205/36, 73/4, 
  -193/18, 253/48, -427/48, 47/24, -47/6, 23/6, 23/6, 7/36, 7/36, 0, 7/36, 
  -73/24, -467/72, 0, 73/24, 2, 2, -127/48, -127/48, -9/8, -239/72, 353/144, 
  9/8, -2, -2, 2, 7/18, 1/2, -7/18, -55/18, -55/18, -8/9, 0, 7/18, -1/2, 
  -55/18, -5/18, -8/9, -7/9, -23/6, -47/36, -1/4, 32/9, 11/36, 2/3, 55/18, 
  55/18, 0, -55/18, -55/18, 0, -55/9, 1, 1, 55/18, 0, -7/9, 7/18, -55/18, 0, 
  7/9, 55/18, 0, 11/9, -7/18, -25/36, -7/6, -32/3, 37/9, 257/6, -10/3, -1/2, 
  0, 44/3, 8/3, 61/9, -101/6, -3, -27/2, -307/9, 1/3, -1/3, 0, -91/9, 53/18, 
  0, -1/18, -1/18, 1/18, -5/18, 55/18, -1/3, -13/18, -7/36, 17/9, -11/36, 
  13/36, 73/18, -85/36, 23/9, -25/36, -23/36, 13/2, 205/36, 23/9, -97/12, 
  -125/24, 13/2, 79/12, -28/9, -223/144, -8/9, 283/72, 149/24, -55/18, -2, 0, 
  91/18, -55/18, -281/72, -9/8, 55/18, -139/72, 157/72, -9/8, 139/72, 389/72, 
  3, -73/12, -605/72, 7/36, -7/18, -7/36, 7/36, 7/36, 47/18, -53/36, -7/2, 
  -46/9, -55/18, -5/6, -121/72, 8/3, -127/36, -31/9, -103/36, 0, 13/4, 19/9, 
  47/18, 13/48, 11/9, 17/72, 77/72, 47/6, 1195/18, -350/9, -75, 1127/36, 
  209/9, -4991/144, -83/4, -683/72, -1097/72, 0, -49/36, -49/36, 0, 0, 
  -178/9, 697/144, -77/18, 353/72, 647/72, 23/18, -25/36, -239/72, -19/16, 
  -7/24, 0, -8/9, -1/6, 0, 13/18, 287/36, 23/6, -305/36, -95/18, 3/2, 3/2, 0, 
  0, -2, -55/36, -4/3, 1/24, 17/72, -7/36, 55/36, 11/72, 7/36, 127/36, 10/3, 
  -67/18, -59/12, -1207/36, 3, 1967/36, 2819/144, -5/9, 799/12, 1195/18, 
  -1949/36, -78, -6241/144, -4783/72, 6455/144, 2753/24, -409/48, 0, 61/24, 
  17/6, -307/36, -593/72, -73/8, -203/18, 107/12, 73/8, -47/24, -1, 5/4, 
  47/24, -5/4, 0, -97/24, -55/18, 13/4, 49/36, 253/36, 179/12, -28/9, 
  -169/36, -55/12, -43/9, 29/18, -7/18, 25/2, 0, 0, 1/9, 43/18, 31/9, 
  -1081/36, 0, 0, -53/8, -239/48, 103/8, -1439/144, 14/9, -43/18, -1/4, 
  -1/18, -911/36, -281/36, 17/4, -383/144, -135/16, 127/36, -149/144, 
  -43/144, -89/48, -311/72, 31/18, 265/12, 527/72, -115/36, 53/24, -287/24, 
  1021/48, 113/6, -1279/144, 9/8, -407/144, -197/48, -9/8, -5/8, 1375/144, 
  493/12, -325/24, -1565/36, 2095/144, 385/144, 161/48, -385/144, 31/36, 
  167/3, 3979/48, -3055/72, -2255/16}, {0, 0, 0, 1, 0, -1, -2, 2, 0, 0, -2, 
  -2, 2, -1, -1, 1, -1, 0, 3, 4, -4, 3/2, -1, 1/2, 2, 3, 0, -3, 3/2, 1, -3/2, 
  -4, 3/2, 9/2, 3, -3, -1/4, 23/4, 1/4, -23/4, 1/4, -13/4, 0, -1/2, -1/4, 
  19/4, -5/2, -15/2, 1/4, 1, 3/2, 19/4, -1/4, 5/4, -5, 0, -2, 5, 2, 3/2, 
  15/4, 9/4, -3/2, 9/2, 3/4, -27/4, -33/4, -5/4, -1/4, -5/8, 1/2, 33/8, 5/8, 
  13/4, -31/8, -15/4, 1, 3/4, -1/2, -11/8, -5/8, -3/4, 0, 1/4, 3/2, -3/8, 
  -53/8, -19/8, 47/8, -2, -7/4, 39/8, 7/4, -7/8, 5/4, -5/4, 0, -7/8, 0, 0, 1, 
  1, -1, 0, 3, 1, -1, -2, 0, 0, 0, -3/2, 0, 9/2, 0, 0, -5, -3/2, 0, 0, -17/4, 
  -11/2, -3/2, 5/4, 0, 19/4, -1, -9, -25/4, 6, -4, 2, -151/3, -173/6, 38/3, 
  -23/2, 145/6, 17, -29/6, -43/12, 11, 0, -11, -9, 1, 1/3, -9, -1/3, 8, -3/2, 
  1/8, 143/24, 1/2, 2/3, -1/3, -16/3, -77/24, 1/3, 3/4, -3/8, 1/2, -17/8, 
  -3/2, -15/4, -7/2, -3/4, 5/4, -17/8, 3/4, -7/8, -1/6, 3/8, 1, -53/24, 
  -15/4, 1/2, 1/8, 35/24, -1/2, 1/6, -5/4, 17/8, 17/24, 7/8, 3/4, 425/12, 
  -3/4, 13/2, -67/2, -167/12, -103/12, -661/12, -1067/36, 38/3, -599/72, 
  292/9, 1547/36, 80/9, -385/72, -1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 1/4, 
  -1/2, 1/2, 1/2, -1/2, 1, -4, 0, 2, -2, 1/2, 3, 0, 16/3, -101/6, -31/3, 
  23/12, 16/3, 26/3, -2, -8/3, 305/12, 47/4, -16/3, 9/8, 0, 0, 0, -5/2, 13/6, 
  -19/4, 0, -9/4, 101/12, 301/8, 62/3, -5/24, -13/4, 9/2, 29/4, 11/4, -1/2, 
  -445/12, -19/2, 71/4, 305/12, -1/2, 1/2, -4, -213/4, 5/4, 905/8, 0, 0, 0, 
  -3/2, 0, 3, 0, 9/2, -4, 0, -1/2, 7/2, 2, -2, 3, 3, -1/2, 1/2, 0, -5, -5, 5, 
  -5/2, 5/2, -11/2, -13/2, -9/2, 0, 9/2, -5/2, -1/2, 15/2, 5, -8, -15, -3, 3, 
  1/8, -7, -1/8, 7, -1/8, 51/8, 0, 1/2, 15/8, -9, 13/8, 17/2, -15/8, -3/8, 
  -9/2, -155/8, -11/8, -47/8, 45/8, 0, 3/2, -45/8, -3/2, -1/2, -27/8, -17/8, 
  3/2, -41/8, -13/4, 65/8, 237/8, 15/4, 3/8, 1/4, 0, -13/4, -1/4, -19/8, 
  23/8, 19/8, -1, -5/8, 1/8, 5/8, -1/4, 5/8, -1/8, -3/8, -13/4, 1/8, 111/8, 
  25/4, -41/4, 33/4, 61/8, -29/2, -63/8, 3, -27/8, 37/8, 1/4, 13/4, 0, 0, 0, 
  -3/2, -3/2, 2, 0, -1, -4, -3, -2, 0, 1, 0, -1, 9/2, 2, 0, -2, 7/2, 0, -20, 
  0, 0, 11, 29/4, 0, 0, 71/8, 10, 29/4, -31/8, 0, -93/8, 3/2, 81/2, 109/8, 
  -7, 4, -3, 1427/18, 1735/36, -343/18, 69/4, -404/9, -51/2, 541/36, 577/36, 
  -1/3, -1/3, -91/6, 1, 95/6, 47/4, 3/2, -19/72, 175/24, 19/72, -211/24, 
  -5/4, 5/8, -191/36, 1/4, 163/72, 19/18, 457/72, 733/72, -5/9, -11/8, 1/8, 
  0, 5, 31/8, 105/8, 12, 11/8, -27/8, 63/8, -11/8, 13/4, 7/36, -1/8, 13/24, 
  107/36, 19/8, -7/4, -13/8, -49/18, 7/4, -7/36, 27/8, -63/8, -55/18, -13/4, 
  -25/8, -4201/72, 5/8, -65/18, 209/4, 229/12, 1523/72, 6761/72, 2705/72, 
  -523/18, 1109/72, -181/3, -329/6, -1957/36, 179/9, 1/2, -8/9, 1/6, -7/18, 
  7/6, 7/8, 11/8, -1, -11/8, 17/9, -7/6, -3/2, -7/18, 3/2, -9/2, 9, -1, 0, 
  -9/2, 3, -5/4, -15/4, 0, -95/18, 593/18, 3077/72, -73/18, -82/9, -188/9, 7, 
  53/9, -374/9, -129/8, 527/72, 85/12, 1/2, 1/3, 9/8, 13/12, -161/36, 473/24, 
  0, 27/8, -1027/72, -277/4, -3761/36, 361/36, 27/4, -11, -65/4, -21/4, 3/2, 
  586/9, 61/4, -129/4, -1781/36, 5/3, -3/2, 1/8, 661/8, 7/2, -2185/8, 1/9, 
  1/4, -1/9, -1/4, 1/9, 2/9, -1/2, -1/9, -1/2, 1/9, -1/2, -1/9, -7/18, -1/9, 
  -1/9, 5/36, -2/9, -2, -1/9, -67/36, 5/4, 1/3, 1/12, -16/9, -1/18, -1/18, 
  1/6, 1/18, 0, -197/144, -9/4, -47/36, 3/2, -11/2, 1/9, -1/9, 55/36, -1/9, 
  -1/2, -1/9, 5/18, 5/36, 1/9, 1/18, 1/18, 197/144, 31/36, -7/36, -5/4, 15/4, 
  23/36, -1/6, -25/36, -167/144, 73/24, 0, 7/18, -21/16, -5/36, 7/18, -1/2, 
  -175/36, 31/36, 2/9, -7/12, -1/144, -151/72, -9/4, -101/36, 11/2, 3/2, 
  -341/144, 31/36, 1/3, -11/12, 73/48, -53/24, -23/36, -22/3, -7/6, 457/48, 
  179/24, 1/18, 1/9, 1/18, 1/18, 1/18, 0, -1/18, -1/18, 0, 0, 13/36, 1/3, 
  -1/36, -25/18, 3/16, 5/4, 0, -197/144, -191/72, -323/144, 197/144, 0, 
  181/72, -1/18, -185/72, 3/4, -1/18, -13/9, -3/4, 0, -197/144, -349/144, 
  45/8, 197/144, -2, -157/72, 271/72, 5/6, -19/8, 3/4, 221/72, -17/18, -3/4, 
  5, -185/72, 27/8, -2, 31/4, -163/72, 2/9, -1/9, 167/72, -1/18, -9/4, 47/48, 
  23/36, 1/2, 163/72, -19/48, -175/72, -61/9, 25/144, -1/18, -1/18, -1/18, 
  -1/18, 1/8, 5/72, 0, -1/18, -1/8, 0, 0, 0, 1/18, 1/18, 11/8, 103/72, 0, 
  -11/8, 0, 0, 0, -1/9, 0, 1/9, -197/144, -269/144, 1/9, 1/4, -1/9, 0, 
  -161/144, 2/9, 1/9, 2/9, -31/48, 4/9, 0, 161/144, -4/9, -1/3, 197/144, 
  197/144, 1/4, -197/144, -125/144, -1/4, -233/72, 1/4, -5/4, 197/144, 1/4, 
  17/36, -1/9, -197/144, -1/2, -17/36, 197/144, 1/4, 17/36, 49/36, -17/18, 
  5/6, 8/9, -151/36, -21/4, 5/9, 0, 3/4, -67/36, -2/9, -29/12, 47/36, 33/4, 
  55/36, 179/36, -2/9, 2/9, -1/4, 26/9, -1/9, -1/2, -1/9, -10/9, 1/18, 2/9, 
  161/144, 1/6, 5/18, 11/36, 65/144, -1/18, -7/18, 161/144, -169/144, 53/144, 
  1/18, -101/144, 20/9, 73/144, 305/144, -277/288, -83/24, 7/72, 2005/288, 
  -4/9, -1/9, 5/18, 8/9, 173/72, -197/144, -1/4, 1/2, 197/144, -197/144, 
  -763/144, 19/8, 197/144, -647/144, -475/144, 19/8, 575/144, 691/144, -1/2, 
  -7/2, -763/144, -1/18, 1/9, 1/18, -1/18, -1/18, 205/144, 1/36, -17/16, 
  -277/144, -197/144, -71/96, 39/16, -49/144, -575/288, -289/144, -71/48, 
  1/4, 269/144, -61/12, -1/18, -365/144, 29/36, 10/3, 35/144, 341/36, 
  -515/36, -955/36, -3/2, 109/144, -265/36, 221/12, 511/36, -1859/144, 
  -631/72, 1/4, 7/18, 5/36, -1/4, 1/4, 77/18, -5/3, -83/18, -283/144, 271/72, 
  53/288, 1/18, -11/72, -13/32, -1/8, 7/8, 347/288, -61/48, -17/8, -53/288, 
  415/288, 845/288, 629/288, -431/288, -1/4, -1/4, -1/4, -1/4, 0, -197/288, 
  -71/96, 7/24, 17/72, -23/72, 89/288, -25/72, 23/72, 197/288, 71/96, 
  -181/288, 5/36, 203/9, -1/8, 7/6, -1343/72, -31/9, -605/72, -2299/72, 
  -1187/144, 73/4, -1393/144, 1351/72, 2473/288, 385/144, -283/48, 1/8, 
  13/24, -1/6, -17/72, -59/72, -5/4, -37/36, 3/4, 9/8, 125/96, 13/96, -7/4, 
  -185/96, 7/4, 5/72, -515/288, -205/144, 45/16, -151/36, 167/144, -421/144, 
  8/9, 1/9, -197/96, -451/288, 197/144, 1169/144, -49/18, 1/4, 1/4, 7/6, 2/9, 
  73/144, 41/9, -1/4, -1/4, 3/4, -1879/144, -88/9, 497/288, 59/18, 77/9, 
  -15/4, -115/48, 1259/96, 929/144, -625/144, -151/72, -1141/576, -5/6, 
  1045/576, 335/192, -1259/576, 14/9, 181/288, -2227/192, -641/72, 1/18, 
  -143/72, 655/144, 1699/72, 12, -137/36, -3/2, 871/288, 1151/288, 7/8, 7/4, 
  -1997/576, -1655/96, -223/24, 605/48, 431/64, -59/576, -51/64, 419/576, 
  -25/12, 545/576, -5599/192, -23/8, 6257/48}}
