{{1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1/2, 0, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 
  -1/2, 0, 0, 0, -1/2, 0, 3/8, 7/8, -3/8, 1/2, 0, -7/8, 0, -1/2, 0, 7/8, 1/2, 
  0, -7/8, 0, 1/8, 0, -5/16, 0, 3/8, 0, 3/8, 0, -9/16, 0, -11/64, 19/128, -1, 
  -1, 0, 0, 7/4, -9/4, 0, -143/12, 1/2, 0, 0, -2, 2, 1/4, 0, -1/2, -1/2, -1, 
  1/2, 1/2, -1/2, 35/18, 49/36, -41/36, 2, 0, -2, -1, -1, 2, 7/4, -2, -2, 
  22/3, -5/36, -51/16, -865/192, -409/192, -35/8, -19/32, -179/24, 0, 
  -847/96, 3/16, -161/24, 41/24, 0, 0, 41/24, -13/3, 0, 0, -41/180, 107/180, 
  -7/360, 37/360, -21/40, 47/360, 127/360, -389/720, -21/40, 1/4, 1/4, 0, 
  -43/32, 0, 91/64, 1/4, 0, -5/8, 0, 1/4, 1, -11/72, -5/72, -77/72, 1/4, 
  -45/16, -5/16, -395/96, 5/32, 0, -179/48, 1/8, -449/1152, -1/4, 0, -1/8, 0, 
  0, 41/24, 3/4, -37/16, -3/4, -13/3, 9/8, 0, -117/32, -1/8, 3/10, -1/16, 
  -527/1440, 0, 0, 29/80, 0, 1, 0, -7/20, 61/36, -4957/864, -245/96, 0, 0, 2, 
  -2, -7/5, 109/90, 47/180, 59/72, 815/36, -1403/192, 1137/32, 355/96, 
  -199/240, -521/144, 169/120, -343/360, -3/2, -6145/3456, 55/288, -155/576, 
  1957/1728, -1/2, 0, 3/8, 0, -3/8, 3/2, -21/4, -191/16, -11/6, 33/8, 3/8, 
  -541/360, -106/45, 89/60, 3473/1440, 3/4, 21491/1152, -95/192, -69/64, 
  35809/1728, 0, 0, 25/8, 21/4, -373/360, 85/72, -313/288, 0, 51923/1728, 
  23/4, -3671/720, -1/2, -13/12, 0, 0, 0, -5/12, 7/12, 1/3, 5/12, 0, 2/3, 0, 
  0, 0, 0, 19/12, 17/8, -1/2, 18047/10368, 5/2, 11/8, 5/12, 39215/10368, 0, 
  -11/6, -17/16, 1/12, -19883/5184, 0, 9/16, 9/16, 0, -37/24, 0, 9/16, 0, 
  -9/16, 9/4, 0, -9/8, -9/8, 0, -49/12, 0, -9/8, 0, -9/8, 9/4, 0, 23/16, 0, 
  -5/16, -5/4, 5/16, -1/4, 0, 33/16, 0, -23641/10368, 23663/20736, 0, -2, 0, 
  5/16, 5/4, -5/16, 3/4, 0, -19/8, 0, 17809/10368, -54335/20736, 0, 1/2, 0, 
  -3/8, -7/8, 3/8, -1/2, 0, 7/8, 0, 9/8, 9/8, 1/2, 0, -7/8, -1/2, 0, 7/8, 0, 
  9/8, 1/8, 0, -5/32, 0, -1/4, -1/4, 0, 0, 0, 17/32, 0, 0, -115/24, 
  66085/6912, -1279/288, 39647/20736, -61453/41472, -6521/27648, 47423/5184, 
  35/12, 19/12, 0, -35/36, -4535/1296, -38591/3456, 0, 0, -15/8, -5/12, -9/8, 
  -649/120, -61/24, 31/12, 9/4, -109/360, 959/96, -23/8, -61/24, -2, -1, -2, 
  0, -9/8, -9/8, 1, -1, -1, 13/144, -17/36, 131/60, -67/360, -393/160, 
  -43/480, -26449/20736, -293693/20736, 19517/10368, -5/6, 11/9, 0, -81/8, 
  47/12, 19/4, 0, 0, 0, -1, 13/4, 1, 17/36, 1247/180, 47/18, 37/4, 221/12, 
  -3, 0, 0, 3, -3, -1931/720, -13921/5184, -37/6, -47/8, 65567/10368, 
  155143/20736, 89/16, 11/24, -47/8, 31/8, 11507/5184, -15/8, -41/24, 0, 
  1523/192, 7/24, -119/180, 43/90, 401/720, 151/90, 2333/1152, -80189/6912, 
  52925/10368, 176249/20736, 14915/20736, 9169/5184, 43/9, 371/72, 
  -63119/10368, -477833/41472, -11/36, -157/72, 103/72, 119/36, 
  -350717/41472, 3/2, -157/72, -21/8, 119/36, 77405/20736, -155/16, -279/16, 
  199/48, 13/8, -181/108, 1/4, 0, 9/16, 41/24, 71/48, 1331/96, 727/24, 
  -1331/192, -1369/48, -1373/96, 287/180, 35/72, -379/720, 91/90, -53/48, 8, 
  1279/96, 317/192, -2059/192, -58507/5184, 15/2, 1075/96, -47/48, 1/12, 
  16945/10368, 0, 32/3, -391/96, 1/3, 26233/10368, 0, 0, 0, 0, 0, -41/24, 
  -9/8, 0, 0, 0, -41/24, -9/8, 1427/64, -1331/64, -1427/96, -1427/96, -1, 
  1843/96, -9/8, -1427/96, 1235/96, 1427/96, -221/720, 67/120, -23/80, 
  -29/40, -221/240, -547/720, 19/144, 269/360, 287/360, -223/720, -95/144, 
  17/45, -1/360, 221/720, -59/6, -227/72, 0, 72133/3456, 33/8, -197/18, 
  52607/10368, 0, -103645/20736, 0, 5885/2304, -142973/13824, 57487/41472, 
  325433/41472, 81925/41472, 3/8, 251/48, 0, -15/16, -143/48, -223/192, 
  151/24, 17/32, -131/64, -1/4, -6643/20736, 615/64, -36763/13824, 
  6521/27648, 1/8, 0, 1/4, 0, -15/32, -41/48, -41/48, -1475/128, -1, 
  -1319/128, 5/8, 13/6, 1267/128, 13/6, 1286665/41472, -1471243/41472, 
  -11441/1536, 0, -71/480, -83/720, -133/1440, -31/720, 1/4, 67/80, 3/8, 
  -43/288, 0, -91745/6912, -11/6, 0, 327941/103680, 5/24, -763/360, 
  -58861/6912, 113981/6912, -25853/10368, 43847/5760, -1079/108, 115/18, 
  -29/72, 3547/25920, 142405/20736, 1525/64, 1037/64, 0, -35/18, -35/18, 
  1331/32, -193/72, 4, 262853/103680, -161/360, -391/180, 65/8, -673/144, 
  -6085/192, 3305/128, -777/16, -589/32, -361/1440, -27/16, 27/16, 27/16, 
  497/96, 493/720, 359/144, 20177/10368, -326113/20736, 230117/10368, 
  -364399/20736, -30577/1728, 227/36, 0, -677/72, 41/12, 250013/13824, 
  -1507/64, -617/144, 898189/20736, -1039423/20736, -32467/2592, 151/180, 
  43/18, -377/72, -4159/720, 556661/103680, -1583/64, -3307/72, -7927/384, 
  88/3, -130483/2592, 1467/64, 1, -41/32, -21/4, 71/48, -193/240, 1223/720, 
  -179/180, -1494403/10368, -1241/32, -989/720}, 
 {0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -7/12, 0, 1/3, -1/3, -1/3, 0, -1/3, 7/6, 
  5/6, -2/3, 1, -1/3, 3/4, -3/2, 1/6, 1/2, -13/6, -5/4, 11/12, 1/2, 1, 3/4, 
  -7/6, -1, -5/4, 7/6, 1/2, 1/2, -5/6, -1/12, 29/24, -1/2, -3/4, -1/2, -3/4, 
  3/4, 1/12, -5/32, -11/192, 0, 0, 1, 0, 7/4, -1/4, -1/4, -110/9, 1, 1/2, 
  1/2, -1/2, 3/4, 1/2, 4/3, -2/3, -2/3, 0, 0, 0, 2/3, -19/9, -55/36, -127/36, 
  15/2, 3/2, -3, -13/3, 2, 3, -7/3, -5/2, -3/2, 25/9, 65/36, -77/24, 
  -853/144, 5/9, -13/2, 7/12, -40/9, 3/4, -110/9, -5/8, -205/36, -89/24, 
  -1/2, 2/3, -89/24, -149/36, 1/4, 0, -983/360, 149/90, 971/180, 136/45, 
  -697/120, -1/180, 439/180, 1349/720, -317/120, 0, -2, 29/12, 49/48, 17/4, 
  -155/96, -1/2, 1/2, -13/12, -1/6, 2/3, 1/12, -59/36, -217/72, -229/72, 1/2, 
  -103/24, -1/24, -745/144, -19/48, -3/2, -89/36, 1/3, -835/1152, -1, 5/3, 
  7/6, -17/24, 3/2, -119/24, -3/2, 3/2, 1, -67/18, -3/2, -1/6, -463/64, -1/2, 
  127/60, -1/24, 767/1440, 4/3, -11/12, -707/240, -1/2, -2, 0, 251/60, 25/18, 
  -173/48, -1171/144, -2, -2/3, 1/2, 0, -217/120, -1621/360, 1541/360, 
  -107/72, 12791/288, -181/72, 1255/36, -25/9, -839/60, 1091/144, 571/120, 
  343/360, -2/3, 181/24, -2101/576, 45/8, 29/16, 11/6, -11/4, -11/12, -5/2, 
  -13/12, -3, -1/4, -367/32, -167/36, 1/8, 11/3, -4079/360, 767/90, 161/60, 
  1027/90, -3/2, 6349/192, -65/144, -127/24, -533/192, 1, -41/12, -1, 733/36, 
  -2867/360, 137/72, -221/288, 2/3, 1955/72, -41/6, 27011/720, 0, -43/36, 
  -3/2, 0, 0, 7/36, 7/36, -7/18, -43/36, 0, 43/18, 0, 3/2, 0, 0, 71/72, 
  13/12, 0, 4873/864, 8/3, 5/4, -7/36, 6685/864, 0, -83/72, -11/24, 7/36, 
  -4969/432, 0, 19/24, 19/24, -1, -25/18, 0, 19/24, 0, -19/24, 5/2, 0, 
  -17/12, -17/12, 1, -175/36, 0, -17/12, 0, -13/12, 5/2, -1/2, 5/24, -1/24, 
  3/4, 3/4, -5/12, 1, 7/6, -1/6, -1/6, 691/864, 7261/1728, 1/2, -5/6, 5/8, 
  -3/4, -3/4, 5/12, -13/6, -5/3, -1/8, 5/6, -1087/864, -10093/1728, -1, 1/3, 
  -3/4, 3/2, -1/6, -1/2, 13/6, 5/4, -11/12, -1/2, 13/12, 13/12, -1, -3/4, 
  7/6, 1, 5/4, -7/6, -1/2, 13/12, -3/4, 1/8, 13/24, -11/16, 1/3, 0, 7/4, 
  5/12, -7/24, -17/24, 1/3, 1/6, -749/144, 619/64, -863/192, 7885/1728, 
  -6775/1728, -833/1152, 5725/432, 77/36, -11/36, 0, -17/18, -28301/864, 
  -6133/288, 0, 0, -37/24, 7/36, -1/4, -341/45, -13/18, 47/18, 3/2, -92/45, 
  3143/288, -83/24, -211/72, -23/8, -1, -2, -1, -1/4, -11/4, 1/4, -3/2, -1/4, 
  13/72, -77/72, 487/180, 131/180, -743/240, 89/240, 42209/864, -827/864, 
  -7045/432, 43/18, 22/9, 0, -283/24, 32/9, 5, 1/2, -1, 0, -3/8, 5/8, 5/8, 
  77/72, 207/20, 29/9, 41/4, 173/9, -15/4, -1/2, -1/2, 7/8, -9/8, -1607/360, 
  1159/432, -337/72, -15/4, 8317/864, -277/27, 37/8, 133/36, -157/48, 3, 
  1853/864, -4/3, 101/24, 0, 1763/144, 71/72, -481/180, -421/180, 19/720, 
  437/120, 1157/72, 4237/288, -7861/432, -4933/216, -2407/216, -1951/432, 
  52/9, 341/36, -4585/864, 20509/1728, -11/18, -97/9, -5/9, 55/9, 11485/1728, 
  -3, -145/36, 7/2, 157/36, -4453/864, -305/24, -1361/48, 329/72, 101/8, 
  77/32, 13/4, 19/6, -35/24, -265/24, -13/9, 877/36, 3553/72, -1745/144, 
  -1217/24, -1763/72, 449/90, 39/8, -41/720, -22/5, -53/16, 211/16, 665/36, 
  -611/288, -1337/72, -5759/432, 301/24, 146/9, -767/144, -391/72, 1499/864, 
  -19/12, 2345/144, -83/36, -301/72, -1195/864, 11/3, -3, -11/3, -19/12, 
  25/12, 59/8, -7/12, 1/2, -19/12, -2/3, 59/8, 3/2, 1757/48, -1739/48, 
  -443/18, -877/36, -1/8, 115/4, -1/2, -443/18, 859/36, 877/36, -139/720, 
  121/40, -191/240, -889/360, -309/40, -3863/720, -217/144, 2161/360, 
  1123/360, 269/360, -379/144, -121/360, 1081/360, 139/720, -677/72, 49/36, 
  -85/24, 1537/96, -133/24, -599/96, 6517/864, -5/4, -3667/864, 7/12, 
  929/144, 3965/576, -8813/1728, -1933/432, -6209/1728, -5/8, 1667/144, 
  -1/48, 5/24, -133/18, -23/18, 263/36, -49/48, -125/48, -7/4, -863/1728, 
  4543/576, 79/96, 833/1152, 5/4, -37/12, -5/3, 41/48, 7/24, 13/48, 229/48, 
  -1643/96, 11/16, -1891/96, -1, 49/36, 1879/96, 173/72, 39383/864, 
  -76813/1728, -395/72, 1/2, -679/480, -253/180, -91/720, 31/720, -1/3, 
  -491/240, -25/24, 589/288, 7/6, -3229/192, 68/9, 1/4, -4793/8640, 13/6, 
  -671/180, 2645/96, -4949/288, 6409/432, -1313/90, -61/48, 1, -19/18, 
  10259/2160, 4361/1728, 5477/288, 2455/96, -8/3, -26/9, -8/9, 1745/24, 
  -103/36, 1/4, 68431/8640, 2687/720, -8771/720, 221/18, -245/48, -12077/192, 
  1331/48, -406/9, -53/3, 8509/360, -11/4, 19/8, 21/8, -1091/96, -3163/720, 
  715/144, 6901/864, -3671/108, 27599/1728, -19777/864, 1555/144, -17/36, 
  145/24, -29/9, -5/2, -1061/576, -1583/48, -185/72, 5465/108, -45667/864, 
  -275/864, 296/45, 1295/72, -967/72, -4837/240, -86749/4320, -1451/48, 
  -23279/288, -4943/144, 6685/144, -28187/864, 573/16, 71/12, 9/4, -961/36, 
  185/24, 131/80, 5197/720, -241/180, -165743/864, -989/24, -24751/720}, 
 {0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 2/3, 0, -1/6, 1/6, 1/6, 0, 1/6, 0, -5/6, 
  2/3, 0, 4/3, -5/6, -1/2, -3/2, 1/2, 1, 3/2, 1/2, -2/3, 0, -5/6, -1/6, 0, 
  3/2, 1/6, -2/3, 0, 7/8, -1/3, -31/24, 1/4, 7/12, 0, 25/24, 0, -1/4, 1/16, 
  5/96, 0, 0, -1, 0, 5/2, -2, -5/6, -245/18, 0, -1/2, -1/2, -4/3, 13/6, 1/2, 
  -5/3, 1/3, 4/3, 0, 0, 0, -1/3, 20/9, -13/36, -109/36, -13/2, -5/2, 2, 13/6, 
  0, -13/6, -1/3, 4/3, 0, -131/18, -5/36, -5/2, -629/144, 709/144, -29/6, 
  71/24, 5/18, 0, -251/72, -1/4, 31/9, 203/72, 1/2, -7/12, 203/72, -20/9, 
  5/6, 0, -23/30, 187/60, -11/60, 1/60, -137/360, -16/15, 91/60, 683/720, 
  -1217/360, 0, -1/4, -29/12, -1/24, -19/12, 5/48, 1/6, -1/4, -2/3, 1/6, 2/3, 
  -1/4, -13/18, 107/72, -13/72, 0, -11/8, -5/12, -91/72, 7/24, 2/3, 127/72, 
  -1/3, -263/144, 0, -7/4, 7/6, 19/24, -7/6, 275/72, 0, -5/12, 0, -113/36, 0, 
  1/2, 83/48, 0, -9/40, -1/8, 2029/1440, -2/3, 3/4, -1157/720, 1/2, 0, -1, 
  -101/45, 64/9, -2185/216, -1453/72, 2, 5/6, 4/3, 1/3, -2387/360, -187/360, 
  2147/360, 65/72, -35/4, -1585/144, 487/24, 1037/72, 1067/360, 583/144, 
  -329/360, 301/360, -17/12, -2041/864, -563/48, 949/144, -1409/432, 11/6, 
  11/4, 10/3, 2, -4/3, 0, -5, 21/8, -2/9, 4, -5/9, -7/40, 239/40, 11/5, 
  3497/720, 0, -421/96, 791/144, -217/48, 802/27, -1, 43/12, -1/6, -199/36, 
  71/60, -19/24, 139/32, -2/3, 15767/432, 15/2, 10087/720, 0, 10/9, 0, -3/2, 
  0, -19/9, -19/9, 38/9, 10/9, 0, -20/9, 0, 0, 0, 3/2, 1/18, -1/4, 0, 
  5885/2592, 5/2, 13/12, 19/9, -2899/2592, 0, -8/9, 5/12, -19/9, 127/1296, 
  -1, 3/2, 2, 1, -46/9, 0, 3/2, 0, -2, 5/3, 1, -23/12, -29/12, -1, 17/18, 0, 
  -23/12, 0, 3/4, 5/3, 0, -7/6, 1/24, 1/4, 65/24, -1/6, -1/2, -5/4, -1/2, 
  1/3, 1907/2592, -11755/5184, 0, 3/4, -17/24, -1/4, -65/24, 1/6, 1/2, 23/12, 
  -1/12, -1, 469/2592, 24571/5184, 0, -4/3, 5/6, 1/2, 3/2, -1/2, -1, -3/2, 
  -1/2, 2/3, -1/4, -3/4, 0, 5/6, 1/6, 0, -3/2, -1/6, 2/3, -3/4, 0, -1/8, 
  7/24, 3/4, -1/6, 0, -7/4, 1/6, 1/12, -5/24, -1/6, -1/12, -205/144, 
  2671/1728, -235/288, -12331/5184, 70565/10368, 4129/6912, 6677/1296, 34/9, 
  -11/18, -1/2, -17/18, 1471/324, -5909/864, 0, 0, -1/3, -10/9, -23/12, 
  -92/45, -16/9, 61/18, 13/4, -73/90, 1835/144, -121/24, -157/36, -35/12, 
  -1/4, -2, 1, -4/3, 7/6, 2/3, -5/12, -2/3, 13/72, -77/72, 1193/360, 
  -401/360, -337/180, -4/5, -69103/5184, -101459/5184, 24851/2592, -20/9, 
  22/9, 0, -355/24, 47/18, 3, -1/2, 1/2, -1/2, -13/12, 31/12, 23/12, 77/72, 
  263/90, 17/9, 38/3, 425/18, -3/2, 1/2, 1/2, 29/12, -13/4, -58/45, 
  1259/1296, 113/36, 19/6, -9307/2592, -5459/5184, 4/3, -247/36, -113/12, 
  41/12, -4327/1296, 5/4, -239/72, 0, 13/144, 10/9, -239/360, -97/80, 
  -1727/720, 421/180, -779/96, -55427/1728, 17147/2592, 137231/5184, 
  91205/5184, -3635/1296, -11/4, 31/18, 18055/2592, -86375/10368, 7/18, 80/9, 
  65/18, -61/18, -136883/10368, 0, 43/18, 1/2, -25/18, 38243/5184, 6, 11/2, 
  67/18, -71/4, -1001/54, -59/12, -17/6, 7/3, 683/72, -103/18, 7/72, 5/18, 
  23/144, -13/18, -241/72, 6/5, 7/144, -29/240, -989/180, 203/144, -107/8, 
  215/72, 697/36, 1375/144, -6035/648, -35/6, 77/72, 109/18, 169/18, 
  11719/2592, 2/3, 31/36, -653/72, 74/9, 55711/2592, -10/3, 11/4, 10/3, 
  17/12, -23/12, -443/72, 10/3, -1/2, 17/12, 7/12, -443/72, 17/12, 5/48, 
  43/48, -55/72, 5/72, -1/4, 215/72, 11/4, -55/72, -101/72, -5/72, 1127/720, 
  221/120, -47/40, -419/80, -37/60, -211/720, 39/16, 479/120, 11/360, -8/15, 
  -11/144, -37/60, 739/120, -1037/720, -205/72, 79/36, 27/8, 2383/864, 71/24, 
  -163/144, -10171/2592, 5/4, 75605/5184, -5/6, -1307/192, -53939/3456, 
  89737/10368, 116783/10368, 69067/10368, 0, -601/72, 1/24, 1/3, 385/72, 
  -545/144, 13/36, 29/24, 23/48, 3/2, 107699/5184, 2575/288, -93445/3456, 
  -4129/6912, -1/4, 71/24, -13/24, -11/12, 11/12, -11/144, -569/144, -29/96, 
  -41/24, -1/96, 0, 197/72, -1/32, 19/36, 62767/10368, -75301/10368, 
  -1735/384, 0, -1529/1440, -13/40, -31/60, 1237/720, 1/6, 1139/720, 13/8, 
  821/288, -17/12, -16595/1728, -155/36, 7/3, 108167/25920, 17/36, -188/45, 
  -47827/1728, 59075/1728, -28883/2592, 5063/480, -3889/216, 425/36, -131/36, 
  -39731/6480, 5311/5184, 4721/144, 1993/48, 25/12, -5/9, -101/36, -23/24, 
  -97/36, 1/6, 316031/25920, 929/720, -7577/720, -11/6, -43/16, 151/16, 
  497/32, -91/3, -437/24, -3269/720, -7/6, 1, 3/4, -607/96, 2669/720, -55/48, 
  58307/2592, 25433/5184, 75467/2592, -167113/5184, -467/216, 103/36, -17/3, 
  -217/18, 53/36, 110291/3456, 11/48, -227/18, 60931/5184, -79369/5184, 
  -479/81, 232/45, 259/144, -365/36, -1997/720, -73/25920, -365/48, 841/72, 
  -101/288, -115/36, -80999/1296, -11/48, -35/8, 1/6, 343/36, -77/24, 
  241/240, -1367/240, 151/60, -187741/2592, 467/24, -17957/720}, 
 {0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -13/12, 0, 1/12, 2/3, 2/3, 0, -1/12, 1/6, 
  5/6, -2/3, 0, -4/3, 5/4, 1, 5/3, -1, -1/6, -11/4, -13/12, 3/2, 0, 5/4, 1/3, 
  0, -11/4, -1/3, 3/2, 0, -13/12, 2/3, 41/24, -1/2, 1/4, 0, -5/2, 0, 13/12, 
  -1/8, -5/48, 0, 0, 1, -1, -19/4, 49/4, -5/12, 101/3, -1, 1/2, 1/2, 59/6, 
  -101/12, 1/2, 13/3, 4/3, -13/6, 0, 0, 0, -4/3, -46/9, -91/36, -109/36, 7/2, 
  1/2, -1, 5/3, 0, 0, -1/3, 1/2, 5/2, 9/2, -91/36, 55/12, 495/32, -845/96, 
  53/6, -1/48, 29/12, 0, 653/48, 0, -4/3, 25/8, -1/2, 1/6, 25/8, 247/36, 5/3, 
  1/2, 787/360, -113/45, -439/180, -193/90, 81/40, -61/180, -401/180, 
  -1351/720, 503/120, 0, 1/2, 29/12, 1/12, -3/4, -17/24, 1/2, -1, 11/12, 
  -1/6, -4/3, 1/12, 85/36, -73/72, -193/72, 0, 3, 5/6, 69/8, -5/6, 1/2, 
  -55/24, 1/3, 4937/1152, 0, 13/6, -11/6, -29/24, -1/2, 27/8, 1/2, 97/24, 0, 
  88/9, 0, -13/6, -391/192, 0, -2/15, -13/24, -3133/1440, -2/3, 1/12, 
  773/240, -1/2, 2, 0, -73/20, 217/18, 1037/108, 241/6, -2, -5/3, -65/6, 
  85/6, -39/40, -361/360, -2239/360, 157/72, -14495/288, 623/32, -11131/144, 
  -1021/48, 89/15, -1117/144, -589/120, -2177/360, 17/6, 11807/1728, 
  13441/576, -3659/288, 7045/864, -19/6, -11/4, -47/12, 1/2, 23/12, 1, 79/4, 
  529/96, 67/36, -109/8, -5/2, 1021/360, -733/90, 191/60, 103/360, 1, -215/6, 
  -521/96, 499/32, 25391/1728, 0, -53/12, -73/12, -587/36, 1423/360, 5/72, 
  -2141/288, 2/3, 48995/864, -92/3, -25669/720, 0, -13/4, 0, 0, -3/2, 9/4, 
  9/4, -9/2, -13/4, 0, 13/2, 0, 0, 3/2, 0, -35/8, -7/4, 0, -26551/5184, 
  -19/2, -37/12, -9/4, -37135/5184, 0, 161/24, -13/24, 9/4, 17911/2592, -1, 
  -29/8, -21/8, 1, 19/2, -1, -29/8, 2, 21/8, -43/6, 1, 65/12, 53/12, -1, 
  101/12, 1, 65/12, -2, 11/4, -43/6, 0, -23/24, -1/24, -1/2, -11/4, 7/12, 0, 
  5/3, -7/12, -7/6, -15211/5184, 6065/10368, 0, 11/4, 9/8, 1/2, 11/4, -7/12, 
  -1/6, -19/6, 41/24, 11/6, 17587/5184, 10351/10368, 0, 4/3, -5/4, -1, -5/3, 
  1, 1/6, 11/4, 13/12, -3/2, -7/4, -11/4, 0, -5/4, -1/3, 0, 11/4, 1/3, -3/2, 
  -11/4, 0, 1/8, -7/12, -17/16, 1/3, 0, 7/4, -1/3, 23/24, 5/12, -2/3, -1/3, 
  205/48, -8945/3456, -65/72, -15535/10368, -162517/20736, 28015/13824, 
  -46639/2592, -37/4, 15/4, -1/2, -17/18, 61117/2592, 40639/1728, 0, 0, 63/8, 
  17/4, 59/12, 158/15, 47/6, -91/6, -8, 293/45, -2665/96, 99/8, 95/8, 145/24, 
  7/2, 6, -1, 43/12, 13/12, -65/12, 5/3, 83/12, 13/72, -77/72, -28/5, 43/90, 
  1627/240, -61/240, -602569/10368, 458539/10368, 158933/5184, 13/2, 22/9, 0, 
  533/24, -18, -16, 1/2, 0, 1, 113/24, -395/24, -115/24, 77/72, -3107/180, 
  -67/9, -299/12, -152/3, 35/4, -1/2, -1/2, -337/24, 101/8, 2323/360, 
  -21043/2592, 127/24, 7/4, -25903/5184, 11371/10368, -17/2, 283/24, 913/48, 
  -13/6, 3331/1296, 3, -21/8, 1/2, -407/32, -211/72, 97/90, 953/360, 
  2359/720, -1759/360, -11575/576, 14539/3456, 111989/5184, -33859/10368, 
  21455/10368, 16291/2592, 13/18, 89/36, 29863/5184, -168401/20736, 7/18, 
  -137/18, -26/9, 10/9, 601099/20736, 1, -85/36, 1/2, -77/36, 167573/10368, 
  -13/3, 449/48, -47/12, 413/24, 16847/864, 7/4, 7/6, -23/8, -5/24, -2/3, 
  -623/48, -491/12, 203/32, 469/18, 989/48, -203/45, -28/9, -1061/720, 
  127/45, -31/48, 733/48, -961/48, -267/8, -97/32, 43501/1296, 55/8, -605/48, 
  -595/48, -227/24, -43217/5184, 8/3, -461/48, 267/16, -233/24, -153917/5184, 
  5/3, -3/2, -5/3, -7/12, 13/12, -35/24, 7/4, 1/2, -7/12, -1/6, -35/24, 17/6, 
  -2783/96, 2039/96, 835/48, 313/16, 51/8, -3493/144, 1/4, 859/48, -455/48, 
  -313/16, -679/720, -59/40, 719/240, 101/60, 643/120, 2737/720, 11/144, 
  721/360, -197/360, -61/360, 149/144, 179/360, -719/360, 859/720, 205/24, 
  -1/18, -61/24, -8657/1728, -131/24, -47/36, -18559/5184, -5/4, 
  -145093/10368, 25/12, -13495/1152, 45067/6912, 339703/20736, -36739/20736, 
  110701/20736, 0, 59/8, -7/48, 19/12, -23/8, 203/32, -47/12, -101/24, 
  -253/96, 3/4, -308101/10368, -697/32, 275777/6912, -28015/13824, 1/4, -7/3, 
  4/3, 59/48, -4/3, -79/48, -43/48, 2327/192, 317/48, 3343/192, -1/4, 
  -391/72, -2471/192, -97/72, -1129463/20736, 1389125/20736, 2257/2304, 0, 
  107/160, 181/90, 479/720, -869/720, -1/3, -57/80, -37/24, -515/288, 8/3, 
  154489/3456, 31/6, 13/6, 665627/51840, 121/36, 1319/180, -46237/3456, 
  -72619/3456, -173909/5184, -89941/2880, 23423/432, -469/18, -251/36, 
  -380471/12960, -269729/10368, -1819/24, -897/8, 5/6, 70/9, 203/18, -625/16, 
  305/36, -80/3, 609611/51840, -8213/720, 3649/720, -187/36, 793/144, 
  13223/192, -2839/64, 7559/72, 2005/48, -2233/180, 13/6, -25/8, -23/8, 
  1165/96, 1397/720, -77/144, -103729/5184, 243323/10368, -249839/2592, 
  580121/10368, -2779/864, -425/36, 91/24, 859/36, 20/3, -262315/6912, 
  829/32, 2533/72, -879875/10368, 1063361/10368, -126455/2592, -4/45, -55/18, 
  221/72, 2389/720, -1401643/51840, 969/32, 23233/288, 7325/192, -343/12, 
  167351/1296, -1847/96, 5/6, -19/6, 293/36, -59/24, -149/80, 1597/720, 
  -1381/180, 1658987/5184, 585/16, 33989/720}, 
 {0, 0, 0, 0, 1, -16/17, 15/17, -2/17, -12/17, -2/17, 0, -29/204, 0, 29/204, 
  29/102, 29/102, 0, 19/204, -161/102, 10/17, -8/17, -15/17, -25/17, 89/204, 
  179/68, 419/204, -7/4, 59/102, -89/68, -97/51, 89/102, -15/17, 89/204, 
  299/204, 15/17, -89/68, -299/204, 89/102, -15/34, -149/408, 193/204, 7/12, 
  -29/136, -1/102, 15/34, -443/408, -45/68, 59/102, 1/272, -35/408, 0, 0, 0, 
  0, -449/68, 967/68, -7/204, 6761/204, -10/17, 39/68, 39/68, 758/51, 
  -2071/204, -19/68, 98/51, 29/51, -77/102, 0, 0, 0, -29/51, -199/153, 
  739/306, 3479/612, 87/34, 29/34, -29/17, -32/51, -30/17, 31/51, 227/102, 
  -5/6, 7/34, 161/17, -943/306, 1229/204, 20531/1632, -16211/1632, 2207/204, 
  -2503/816, 757/204, -45/68, 13343/816, 31/34, 0, 1465/612, 0, 1/6, 
  1465/612, 4535/612, 961/204, 0, 1543/408, -163/34, -2281/408, -59/17, 
  3559/612, 121/136, -217/51, -1177/306, 4609/612, 0, 151/68, 1, -299/408, 
  -565/204, 151/204, 50/51, -29/68, 83/68, -2/17, -151/102, 97/204, 367/153, 
  233/306, 2051/1224, -15/34, 2177/408, 115/102, 467/68, -241/408, 47/51, 
  -77/102, 4/17, 83123/19584, 15/17, 149/204, -164/51, 59/408, 1/51, 593/306, 
  45/34, 2135/408, -15/17, 5237/612, 45/34, -59/51, -3661/3264, 15/34, 
  -749/408, 37/816, -6125/2448, -23/102, -13/102, 7297/1224, -6/17, 31/17, 
  -15/17, -361/153, -43/9, 7328/459, 2689/68, -63/34, -55/51, -794/51, 
  1072/51, 8729/1224, 7567/1224, -14939/1224, 259/612, -22885/544, 
  19075/1632, -177677/2448, -1109/272, 21755/2448, -15901/1224, -3499/1224, 
  -5803/1224, 617/204, -8275/29376, 204547/9792, -90929/4896, 52813/14688, 
  -196/51, -33/68, -286/51, -31/34, 214/51, 45/17, 1097/68, 4857/544, 
  3941/612, -1227/136, -4069/1224, 2239/204, -5481/272, -233/102, 
  -62065/4896, 45/34, -4687/144, 365/96, 8005/544, -219619/29376, 0, 
  -535/204, -1961/204, -283/17, 1285/136, 319/204, -6703/816, -4/17, 
  -22315/14688, -1573/51, -10633/153, 0, -421/204, 1/17, 1/17, 6/17, 325/204, 
  433/204, -583/102, -553/204, -11/34, 679/102, -49/34, 3/17, 18/17, 3/17, 
  -1145/408, -56/51, 0, -500737/88128, -899/102, -307/102, -427/204, 
  -472441/88128, -15/34, 2105/408, -301/408, 613/204, 273073/44064, -15/34, 
  -1529/408, -1349/408, 15/34, 163/17, 0, -1529/408, 15/34, 1349/408, 
  -659/102, 1/2, 547/102, 251/51, -13/34, 1339/204, 12/17, 547/102, -37/34, 
  157/102, -659/102, 15/34, 121/408, -5/17, -179/136, -236/51, 35/51, 1/17, 
  149/204, 49/51, -65/102, -72733/88128, 6439/10368, -15/34, 269/204, 89/204, 
  179/136, 236/51, -47/51, 155/102, -109/68, 151/408, 113/102, 2741/5184, 
  -113783/176256, 15/17, 25/17, -89/204, -179/68, -419/204, 7/4, -59/102, 
  89/68, 97/51, -89/102, -56/51, -157/102, 15/17, -89/204, -299/204, -15/17, 
  89/68, 299/204, -89/102, -157/102, 45/68, 0, -1013/816, -89/272, 29/204, 0, 
  15/17, -41/51, 145/408, 955/816, -29/102, -29/204, 1585/272, -510791/58752, 
  41471/9792, -61609/176256, -2531815/352512, -220355/235008, -728617/44064, 
  -1597/204, 607/204, -15/34, 37/36, 816823/44064, 724345/29376, -2/17, 
  -12/17, 1443/136, 607/204, 1357/204, 15221/1224, 245/34, -453/34, -9, 
  301/68, -14233/544, 709/68, 4175/408, 139/24, 195/68, 100/17, -39/68, 
  659/204, 659/204, -379/51, 61/51, 1039/204, -247/2448, 1267/1224, 
  -2203/306, 305/306, 33599/4896, 183/544, -5290483/176256, 6129433/176256, 
  695015/88128, 241/102, -335/153, -2/17, 2107/102, -871/51, -240/17, 39/68, 
  -1/17, 11/17, 3025/408, -7897/408, -2345/408, -1267/1224, -1199/68, -68/9, 
  -4927/204, -10187/204, 535/68, -39/68, -39/68, -8135/408, 2071/136, 
  16453/2448, -130837/44064, 971/408, 43/102, -255145/88128, 674053/176256, 
  -733/102, 499/51, 4729/272, -1333/204, 75487/22032, 359/204, -1465/612, 0, 
  -20593/1632, -3461/1224, 4325/1224, 12779/2448, 5413/1224, -3007/408, 
  -73333/9792, 1535929/58752, 819575/88128, -2803801/176256, -2215507/176256, 
  234301/44064, -241/153, -1372/153, -529079/88128, -1395467/352512, 677/612, 
  -1307/306, -533/153, 889/612, 8285113/352512, 45/17, -823/612, -227/68, 
  22/153, 552455/176256, -307/204, 12775/816, -611/102, 2313/136, 
  431717/14688, 335/102, 185/102, -343/136, -755/612, 283/51, -271/48, 
  -2211/68, 4621/1632, 6277/612, 12485/816, -3095/408, -11551/2448, -215/408, 
  566/51, -197/306, 3059/272, -17465/816, -11641/408, 2647/1632, 
  1095791/44064, 989/408, -12445/816, -6493/816, -4321/408, -1062023/88128, 
  277/204, -12431/816, 4589/272, -4727/408, -3080651/88128, 623/408, 
  -331/272, -185/102, -185/204, 185/204, -355/612, -57/34, 0, -185/204, -1/6, 
  -355/612, -157/204, -35899/1632, 17707/1632, 2921/272, 12607/816, 1331/136, 
  -44429/2448, 105/68, 2921/272, -479/816, -12607/816, -2731/1224, -593/136, 
  695/204, 17723/2448, 2531/272, 1625/306, -49/48, -3091/408, -1039/612, 
  -59/272, 1171/612, 973/816, -1303/136, 1433/612, 1465/136, -4747/1224, 
  -193/102, -398759/29376, 577/408, 25775/4896, -127705/88128, 0, 
  -2988727/176256, 81/68, -19813/19584, 1671289/117504, -1415483/352512, 
  -3996409/352512, -1789169/352512, 75/136, 2765/816, 151/816, -23/408, 
  -437/204, 3645/544, -334/51, -13/34, -879/544, 7/68, -322067/10368, 
  -74581/3264, 4778915/117504, 220355/235008, -15/17, -213/136, 1159/408, 
  5/136, -109/48, -1663/1224, -241/1224, 1091/192, 6509/816, 55631/3264, 
  15/17, -3155/1224, -34387/3264, -3293/1224, -943465/20736, 21723335/352512, 
  76283/39168, -15/34, 1789/612, 1363/816, 601/544, -113/36, -5/204, 
  -505/1224, -247/408, -6139/1224, 109/68, 1886767/58752, 53/34, 1231/204, 
  509017/176256, 2401/1224, 3575/408, 656201/58752, -1956889/58752, 
  -943703/88128, -36437/3264, 270515/7344, -3524/153, -695/612, 
  -177853/44064, -1533911/176256, -4799/68, -3215/34, 73/408, 3547/612, 
  4537/612, -4333/272, 2803/306, -7471/204, -1805207/176256, -11449/816, 
  54971/2448, -3835/1224, 12805/1224, 55751/1088, -126019/3264, 113473/1224, 
  6617/272, -93917/4896, 325/816, -827/272, -749/272, 15499/816, -601/1224, 
  -245/102, -2913775/88128, 3668153/176256, -1511917/22032, 12165755/176256, 
  -79/27, -3659/612, 433/136, 3007/153, 3785/612, -5369017/117504, 8265/544, 
  12349/306, -12099173/176256, 17943443/176256, -1564985/44064, -12635/1224, 
  -49991/2448, 51415/2448, 934/51, 914167/176256, 1439/96, 308017/4896, 
  110735/3264, -7525/816, 6225439/44064, -5347/1632, -563/408, -8297/1632, 
  230/51, -1267/204, -233/68, 377/816, -813/136, 27624281/88128, 2755/136, 
  49991/612}}
