{{1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17/4, -15/4, 0, 0, -2, 0, 0, 0, 0, 
  0, 0, 0, 0, -4, -24, 0, 0, 0, -10, 0, 0, 0, 0, 11, 0, 0, 0, 0, 8, 0, 0, 0, 
  0, 0, 0, 0, 17/4, -1, 17/4, 0, 0, 0, 0, 2, 2, -21/4, 47/4, 13/2, 13/2, 0, 
  1, 0, 0, 0, -3/2, 0, 0, -9/2, -1/2, 3, 9/2, 0, -1/2, 9/2, 5/2, 1/3, 0, 
  -1/3, -2, -2, 5/3, 2, 0, 0, -3, 0, 8, 0, 0, 8, 0, 0, -2, 2, 2, 23/4, -21/4, 
  23/4, 1, 0, 0, -3, 1, 2, -4, -1, 0, -2, 2, 0, 3/2, 3, 7/2, 2, 2, 3, -2, 0, 
  -3, 0, 1, -4, 53/4, -143/4, 9/2, 4, -9/2, -9, -5/2, 29/4, -1, 0, 1, -23/4, 
  0, -8, 75/8, -2, 0, -5/2, 5, 8, 0, 5/4, 9/2, -5, -8, 0, -3/2, 1/8, 83/8, 
  1/8, -5/3, -5/8, 25/8, -1/8, -115/8, -1/8, 3, 5/4, 23/12, -1, -49/12, 
  -19/24, 5/2, -1/4, -103/48, -47/24, -8/3, -5/6, 29/12, 17/24, -101/48, 
  -19/48, 0, 61/24, 197/48, 8/3, 31/16, -425/48, -17/24, 95/24, 5/24, -27/8, 
  -25/12, 221/24, 5/24, -25/12, -31/24, -31/16, 3/8, 1, 9/16, 67/48, -16/3, 
  1/6, 211/48, 115/24, 0, -347/48, 463/48, -45/8, 0, 6, 0, -5/2, 8, 8, -6, 
  -1/2, 1/4, -75/4, -101/12, -1/2, 101/12, 1/4, 173/12, 699/8, 61/4, -31/4, 
  143/16, 949/24, -19/16, -451/48, -59/8, -207/8, -995/24, 17/8, 225/8, 26, 
  207/8, -737/24, -51/2, 155/4, 207/8, -51/2, -461/8, 21/16, -5/6, -37/6, 
  15/16, 47/48, 23/16, -21/16, -49/8, 3/2, -179/48, -353/48, 163/12, 
  -1135/48, -41/8, -41/8, 17/16, -9/16, -17/16, -19/16, 11/2, 41/32, 11/4, 
  65/8, 255/32, -7/32, -107/16, -259/32, -39/4, -7/32, -259/32, -29/96, 
  -101/24, -101/24, 101/12, 325/72, -101/24, 113/24, -47/9, 245/24, 93/8, 
  -715/72, -89/8, -17/12, 425/24, -1111/48, -1, -15/8, -355/6, -787/24, 
  1319/48, 3677/48, 191/24, 75/16, -45/8, -251/48, -269/48, 17/3, -47/24, 
  -199/48, 175/48, 1/4, 103/48, 77/48, -97/48, 89/24, -15/16, -23/8, -101/24, 
  283/16, 101/24, -325/16, -419/48, 8/3, -115/12, -155/8, -261/16, -199/16, 
  11/16, 241/16, 33/4, 177/8, -103/8, -1615/48, 325/12, -395/8, 1565/16, 
  -939/32, -287/8, 523/32, 81/2, -991/96, -1081/48, 9/16, 19/16, 443/48, 
  215/12, -59/8, 889/48, 9/8, -53/4, 9/8, 16/3, 1, 0, 121/12, -139/12, -76/3, 
  0, -33/8, -109/12, 115/12, 52/3, 0, 1/2, 1/4, -71/4, 1/4, 61/6, 19/8, 
  -31/8, -1/8, 111/4, -1/8, -97/6, -33/8, -25/24, -55/32, -33/16, 27/16, 
  -3/2, 5/16, 43/48, 205/48, 16/3, -11/4, -241/48, -17/16, 293/96, -149/96, 
  3/4, -29/8, -769/96, -16/3, 191/32, 789/32, 17/16, -371/48, -9/16, 757/96, 
  185/48, -359/24, -9/16, 185/48, 39/16, 41/16, -17/32, -23/16, -19/32, -7/4, 
  4, -9/32, -23/8, -51/16, 41/12, 281/96, -763/96, 4, 1, 0, -13/2, 0, 121/12, 
  -52/3, -76/3, 23/2, 7/4, -1, -17/8, 331/8, 101/6, 7/4, -101/6, -17/8, 
  -373/12, -895/8, -647/12, -365/12, -375/32, -1031/24, -587/96, 191/32, 
  21/8, 1193/24, 255/4, 691/24, -227/6, -151/3, -1193/24, 923/24, 1205/24, 
  -1685/24, -1193/24, 1205/24, 1729/12, -11/48, 17/4, 69/32, -11/48, -571/96, 
  1/48, 11/48, 9/2, -79/12, 1/12, 85/12, -961/96, 1723/96, -139/48, -139/48, 
  -37/48, 49/48, 37/48, 25/48, -17/4, -59/48, -57/8, -15/2, -259/48, -35/48, 
  25/6, 247/48, 71/4, -35/48, 247/48, -713/144, 505/48, 505/48, -101/6, 
  -5657/432, 101/16, -559/48, 6485/432, -709/48, -293/16, 9041/432, 275/16, 
  85/24, -941/24, 1667/32, 7/4, -63/4, 6557/48, 127/2, -9719/96, -16709/96, 
  -133/12, -53/32, 227/96, 197/96, 19/48, -137/96, -37/24, 821/288, -551/288, 
  -1/16, -253/288, -22/9, -11/32, 157/72, 1027/144, 1, 101/8, -2033/96, 
  -101/16, 2329/96, 797/96, -299/32, 415/48, 2783/96, 1589/96, 351/32, 
  -11/16, -1349/96, -61/4, -1237/48, 863/48, 999/16, -1477/48, 1591/32, 
  -4697/48, 241/6, 1573/32, -231/16, -4135/96, 2297/144, 1829/96, -49/48, 
  -25/48, -2989/144, -1583/96, 229/24, -631/72, 23/12, 8/3, -25/32, -8/3, 
  -5/4, 13/32, -3/32, -1/2, -25/32, 23/8, -3/32, -25/32, -343/96, -137/12, 
  -8/3, 329/32, 68/3, 5/4, 27/8, 27/4, 8/3, -539/96, -12, -5/4, -3/32, -3/32, 
  -9/32, 59/8, -3/32, -9/32, -269/32, -41/16, 3/32, 85/32, -7/16, -107/8, 
  3/32, -7/16, 1255/96, 27/8, -3/32, 3/32, -3/8, 9/32, -53/32, 8/3, 67/24, 
  121/32, -5/4, -17/48, 17/48, -9/8, 161/96, 139/48, -8/3, -129/32, -529/48, 
  5/4, 323/96, 43/96, -367/96, -179/96, 6, 43/96, -179/96, -119/96, 23/12, 
  8/3, -1171/864, -8/3, -1, -407/96, -247/48, 33/16, 223/48, 167/96, -3/2, 0, 
  5/2, 0, -137/12, 16/3, 1171/864, 68/3, -11/4, -3/2, 3/2, 21/8, -159/8, 
  -101/16, -3/2, 101/16, 21/8, 443/16, -407/96, -247/48, 1737/32, 1229/24, 
  6221/96, -223/96, 29/96, 1489/96, 313/32, 29/6, 301/16, -273/32, -677/16, 
  -1769/32, -457/48, 557/32, 65/4, -515/32, -545/32, 711/32, 65/4, -545/32, 
  -1969/24, -35/24, 9/32, -9/32, -265/96, 265/96, 265/96, 265/96, -35/24, 
  -395/288, -8/3, 17/72, 2087/288, 5/4, 67/32, 3/32, -2, -55/32, -8, 3/32, 
  -55/32, 109/36, -101/24, -101/24, 101/16, 5669/864, -101/48, 29/6, 
  -6713/864, 49/6, 247/24, -10871/864, -29/3, -17/8, 1279/96, -1715/96, -9/8, 
  173/48, -3145/48, -493/32, 435/8, 521/8, -377/24, 3/32, 131/96, 3/8, -9/32, 
  53/32, -8/3, -67/24, -121/32, 5/4, -101/16, 5741/864, 101/48, -6137/864, 
  757/864, 3653/864, -33/16, -12151/864, -3137/864, -1877/864, -29/12, 
  2273/864, 27/4, 349/48, -577/96, -749/32, 299/32, -1511/96, 2549/96, 
  -2053/144, -3469/288, 493/72, 1321/144, -95/18, -91/24, 35/24, 539/72, 
  25/6, -41/24, 29/36}, {0, 1, 97/35, -97/35, -39/5, 1, 138/35, -37/7, 37/7, 
  39/5, 2, 0, 103/70, 2, 103/70, 18/5, -34/35, 34/35, -69/35, 246/35, -69/35, 
  -62/35, 138/35, -3/2, -67/35, 583/140, 249/140, 0, 171/140, -11/5, 823/140, 
  8/5, -331/70, -53/140, 599/140, 108/35, -108/35, -171/70, 11/2, -183/35, 
  -18/5, 1247/140, 1177/140, 453/140, -181/35, -132/35, 753/140, 811/70, 
  23/14, -132/35, 811/70, 513/70, 83/70, -76/35, 381/140, -243/140, 83/140, 
  101/70, 11/28, 69/28, 47/140, 435/56, -2781/280, 3/7, 4, 0, -4, 97/35, 
  -39/5, -39/5, -4, -103/35, -4, -103/35, -867/35, -1537/35, -178/7, -137/35, 
  -853/70, -848/35, 101/70, 33/70, 386/35, 1126/35, 818/35, -169/35, -102/5, 
  -156/5, -1126/35, 221/35, 1298/35, -1489/35, -1126/35, 1298/35, 454/7, 
  -128/35, 9/5, 2787/280, -153/70, 335/56, -153/70, 128/35, 3/7, -31/35, 
  32/5, 251/70, -3179/280, 8693/280, 257/20, 257/20, 153/70, -153/70, 
  -153/70, -128/35, -19/10, 153/140, -191/35, -103/35, -459/140, 153/140, 
  153/35, 253/140, 103/70, 153/140, 253/140, 1411/420, -37/21, -171/70, 
  647/105, -719/35, -839/70, 4201/210, 334/35, -599/70, -762/35, 265/7, 
  171/35, -2617/70, 2621/35, 529/10, -2229/28, -2423/20, -3859/140, -261/35, 
  1591/140, 1293/140, 433/56, -1889/280, 299/40, 167/30, -167/30, -171/140, 
  586/105, 1121/420, 41/7, 221/105, -569/105, 6/7, 127/14, -123/70, -751/35, 
  -17/14, 153/35, 543/35, -493/70, -799/70, 459/70, 41/10, -6/7, -2131/70, 
  116/7, 593/14, -831/35, 1207/56, -35177/280, 4259/140, 599/14, -153/140, 
  -1024/35, 1781/420, 1663/280, 153/70, 128/35, -361/105, -951/280, -153/70, 
  3277/420, -131/20, 0, -3/2, -433/70, 433/70, 1437/70, -5/2, -999/70, 
  477/70, -477/70, -891/70, -3, 0, -103/28, -197/28, -103/28, -703/105, 
  717/140, -717/140, 133/20, -1791/140, 133/20, 129/35, -999/70, 265/168, 
  611/280, -11/6, -142/105, 0, -97/35, 2549/840, -2243/420, -55/42, 521/210, 
  -307/210, -1693/420, -5147/840, 5147/840, 331/35, -10621/840, 4499/840, 
  143/21, -3117/280, -6659/840, -1861/210, 1493/420, 871/84, -1551/280, 
  -2468/105, -6847/420, 871/84, -2468/105, -5461/420, 829/280, 17/28, 
  -248/35, 197/56, -3329/840, 2791/420, 83/210, -9047/840, -803/105, -31/70, 
  -2399/336, 14957/1680, 114/35, -12, 0, 10, -433/70, 891/70, 1437/70, 
  -233/35, 0, 309/35, 1467/70, -188/21, 0, 188/21, 309/35, 9629/210, 
  11849/140, 5041/70, -127/35, 4357/280, 12997/420, 181/40, 1087/168, 
  -2549/140, -1569/28, -18887/420, -377/20, 4523/140, 1782/35, 1569/28, 
  -3863/420, -2503/35, 6887/70, 1569/28, -2503/35, -15283/140, 493/280, 
  -65/42, -13717/1680, 41/40, -2189/240, -59/280, -493/280, 114/35, 67/70, 
  -1389/280, -491/120, 18869/1680, -7667/240, -3581/280, -3581/280, -41/40, 
  -59/280, 41/40, 839/280, -9/7, 671/560, 793/70, 1/7, 7109/560, 671/560, 
  -3219/280, -5049/560, 23/10, 671/560, -5049/560, -29221/5040, -94/21, 
  -94/21, 188/21, 5731/630, -94/21, 2617/210, -24653/1260, 682/21, 111/7, 
  -2617/90, -551/70, 349/21, 19319/420, -55417/840, -559/35, 19219/280, 
  -2777/21, -42757/420, 106037/840, 39103/168, 187/3, 2151/280, -362/35, 
  -1213/168, -20149/1680, 2831/336, -26339/1680, -14909/2520, 1343/360, 
  97/35, -5039/2520, -12043/2520, -7033/840, 1558/315, 27079/2520, 19/7, 
  -94/21, -2027/280, 94/21, -1007/280, 20137/840, 205/42, -4577/420, 
  -1851/140, 1313/280, 2419/280, -417/56, 123/56, -108/7, 1661/35, -583/28, 
  -18647/280, 640/21, -12611/560, 80519/560, -5445/112, -4677/70, 5013/560, 
  1557/35, -7067/5040, -1409/560, 59/280, -839/280, -11647/2520, 17317/1680, 
  -207/70, 8657/1260, 103/140, 671/70, 103/140, -253/105, 0, 1/2, -23/210, 
  23/210, -2413/210, 3/2, 339/20, 151/105, -151/105, 559/210, 1, 0, 103/35, 
  503/70, 103/35, -113/105, -181/20, 181/20, -999/140, 351/70, -999/140, 
  422/105, 339/20, -2917/1680, -17/280, 173/56, -61/70, 0, 331/280, -701/840, 
  -577/420, -124/105, 73/35, 397/168, -27/140, 4943/1680, -4943/1680, 
  -457/35, 1233/112, 2801/1680, -191/105, -81/560, -9217/560, 206/35, 
  6679/840, -1699/280, -284/105, 9767/840, 488/21, -1699/280, 9767/840, 
  1303/280, -1161/280, 429/560, 265/56, -757/560, 1223/280, -809/140, -79/80, 
  891/140, 6, -146/105, 613/480, 859/3360, -261/140, 0, 11, 0, -8, -23/210, 
  26/21, -2413/210, 1329/70, 0, 0, -1133/140, -3971/140, 376/21, 0, -376/21, 
  -1133/140, -439/210, -1653/140, -11531/210, 11923/210, -549/560, -22/21, 
  -12713/1680, -1667/560, 951/140, 1721/420, -6/35, 2767/60, -1627/210, 
  104/21, -1721/420, -2683/420, 8117/420, -799/12, -1721/420, 8117/420, 
  -3977/210, -83/840, -73/35, 1541/1120, -83/840, 16411/3360, 127/840, 
  83/840, -261/140, 89/30, 1079/315, -95/84, -491/3360, 9413/3360, 1355/336, 
  1355/336, 83/840, 127/840, -83/840, -293/840, 113/70, 943/840, -681/140, 
  163/140, -698/105, 943/840, 6527/840, 389/105, -267/35, 943/840, 389/105, 
  21359/7560, 235/21, 235/21, -376/21, -11504/945, 47/7, -8021/420, 
  37633/1890, -143/42, 299/70, 3253/1890, -341/28, -806/105, -2633/420, 
  3569/560, 121/7, -10929/560, -763/120, 918/35, 379/1680, -7409/240, 
  -30337/840, -741/560, 2423/1680, 1811/1680, 19063/3360, -1541/672, 
  24547/3360, 991/2160, -43171/15120, -537/280, 1379/432, 149/135, 321/112, 
  -5689/3780, -8549/945, -289/140, 94/7, 3211/1680, -47/7, 3037/1680, 
  1993/336, -1567/560, 941/105, -13981/1680, -727/1680, 163/560, 657/280, 
  -6737/1680, 729/35, -2729/168, 29/840, 15023/2520, -1219/840, -2087/1120, 
  -57563/3360, 6287/840, 1431/112, -3407/280, -2281/1680, -359/1080, 
  -91771/10080, -127/840, 293/840, 84601/7560, -31663/3360, 1679/210, 
  -261923/15120, -253/210, -146/105, 103/280, 146/105, 13/70, -241/560, 
  -241/560, 0, -171/560, -57/20, -241/560, -171/560, 2747/1680, 89/15, 
  146/105, -1427/280, -422/105, -13/70, -927/140, -146/35, -146/105, 
  2801/840, 128/35, 13/70, -241/560, -241/560, -171/560, -43/20, -241/560, 
  -171/560, 2577/560, 1613/280, 241/560, -597/112, 447/280, 3/4, 241/560, 
  447/280, -10691/1680, -927/140, -241/560, 241/560, -103/140, 171/560, 
  241/560, -146/105, -2129/1680, -1733/560, 13/70, 89/168, -89/168, 949/140, 
  -4219/1680, -857/840, 146/105, 13/7, 10301/840, -13/70, -1417/240, 
  -167/1680, 3473/1680, -233/1680, -1201/140, -167/1680, -233/1680, 991/1680, 
  -253/210, -146/105, 1381/1512, 146/105, 127/70, 4771/1680, 437/120, 
  -103/140, -437/120, 73/336, 0, -3, 0, 2, 89/15, -292/105, -1381/1512, 
  -422/105, -127/70, 0, 0, 309/140, 249/28, -47/7, 0, 47/7, 309/140, -115/7, 
  4771/1680, 437/120, -14137/560, 211/84, -106801/1680, 2747/1680, -241/1680, 
  -5689/840, -73/112, -83/21, -2937/280, 3541/560, 1893/80, -3043/560, 
  6509/840, -1917/112, -165/14, 5021/560, 4229/560, 10573/560, -165/14, 
  4229/560, 4465/84, 943/420, -31/144, 31/144, 421/210, -421/210, -421/210, 
  -421/210, 943/420, 12893/15120, 146/105, -239/15120, -30929/15120, -13/70, 
  -107/560, 241/560, 87/140, 519/560, 27/7, 241/560, 519/560, -485/378, 
  -94/21, -94/21, 47/7, 37579/15120, -47/21, 2873/420, -12563/3024, 
  -1321/210, -124/21, 112901/15120, 3473/420, -27/70, -17483/1680, 
  23119/1680, -971/140, -4549/840, 7933/168, 5169/560, -5087/140, -6749/140, 
  269/21, 241/560, -899/336, 103/140, -171/560, -241/560, 146/105, 2129/1680, 
  1733/560, -13/70, -47/7, -3553/3024, 47/21, 2111/2160, -26543/3024, 
  -1457/3780, -341/140, 6154/945, 35/432, -3347/15120, 43/21, 181/432, 
  -216/35, -1399/2520, 21247/5040, 5569/560, -447/80, 613/105, -8027/840, 
  10889/1512, 905/432, -24529/15120, -57451/7560, 40/189, 2183/504, -943/420, 
  -5849/3780, 599/210, -2141/420, 1031/216}}
