{{1, -2, 4, -2, 1, -1, 1, 1, -2, 1, -2, 1, 2, -2, 1, -2, -2, -1/2, 4/3, 
  -10/3, -1/2, -8/9, 2/3, 8/3, 43/18, -17/6, 2/3, 13/6, 1/2, -1/3, 1/3, 
  359/126, 2/7, 5/3, -4/9, -1/3, -19/6, 4/9, -2/7, -2/3, -88/63, -2/7, 
  197/126, -3/14, 4/9, -2/9, 4/3, -4/9, -195/28, -25/12, 1/4, 4/9, -2/7, 
  38/63, 113/126, 4/9, 4/3, 8/9, -1, -5/3, -557/84, -215/28, -2/9, -25/12, 
  -41/12, 323/126, 7/12, 101/14, 91/36, -1/28, -2/9, -4/9, 2/21, 5/3, 17/42, 
  4/3, 4/3, 2/21, -1/3, -1/3, -223/108, 1/3, -209/84, -181/84, -49/36, 
  67/252, -1/4, 215/84, 17/12, 1/4, 52/21, 1/4, 439/756, -1/3, -101/42, 
  -13/12, 5/84, -1/4, -3, -3, 53/6, -53/7, 2, -1, -3, 35/12, 3/2, -16/7, -10, 
  8, -1, -3, -13/12, 4, 3/2, -51/7, 1, 1/2, -11/2, -1/2, -11/2, 6, -6, -8/3, 
  -16/3, 269/252, -8/3, -10, -16/3, 14/3, 269/252, 269/252, -4, -52/3, 
  -314/7, -3, 709/63, -1/2, -1, -1/2, -5, -1/2, -12, -12, -2/3, -47, -7/2, 
  106/3, -7613/126, -212/7, 34/3, -13/14, -130/3, -1238/7, -27/2, -1, 12, 
  -15/14, 9, -13/14, 1, 20/3, 771/14, 7/2, -11555/63, -2957/21, 10319/63, 
  8923/42, -1, 6, 12, 7, 2, 2, 20/3, 813/14, 7/2, 1765/21, -11597/63, 
  -1671/7, 20071/126, 19160/63, -1/3, -4/3, 1949/252, 4/3, 201/28, -1739/252, 
  -215/28, -73/36, -901/252, -53/12, -121/18, -3/4, -4/3, -1139/252, -149/21, 
  9/4, 101/14, 527/252, 5/3, 209/36, 3/4, 517/252, -1/28, 23/12, 1/2, -1/3, 
  -85/6, -3929/126, -4192/189, 241/12, 69725/756, 27/4, -1/6, 13, 3929/63, 
  14717/189, 1235/42, -223/12, -36431/378, -27/4, -3929/126, -10525/189, 
  -14165/252, 3137/756, 965/36, 2/9, -20/9, 3/2, 1/2, -79/4, 14/9, -27/4, 
  -2/3, -1/2, -55/18, -1/2, -4/63, 4/63, -14/9, -4, -67/63, 5/6, 7/6, 14/3, 
  -1/2, -743/252, 10/3, -3/2, 1709/252, 1, -196/9, -10757/126, 92/3, 
  29833/252, -27/4, 15/2, 1933/126, -7438/189, -183/4, -5239/63, -6547/84, 
  -515/378, 19/3, 7940/63, 13/4, 7513/126, 2224/21, -2861/84, 5, -5659/28, 
  74825/504, 5659/28, 208165/504, -74825/504, -208165/504, -76/3, 119/3, 
  1107/28, -635/6, -17359/84, -32, 2213/84, -727/12, 4549/126, -8/7, -872/21, 
  -15133/126, 12, 7519/42, 16645/126, -275/2, 71845/504, -38/3, -72781/504, 
  -1/2, 136681/504, -106/3, -136681/504, 9661/126, 212/7, 3, 31/2, 51, 
  3845/42, 4255/63, 1, -13/3, -257/4, -67127/252, -49/4, -2105/21, 3355/126, 
  -607/7, -9469/72, -164215/504, -1, -125/3, -942/7, -1655/84, 3303/28, 
  278/3, 2579/7, 27, 970/7, 12263/84, -1511/12, -545/42, 32/3, 872/21, 
  7913/63, 58/3, -138, -14, -18, -71845/504, 179/6, 748/7, 11/2, -159373/504, 
  901/36, 4735/36, -14803/126, -8875/84, 2, -1/2, -1, -7/12, 2/3, 5/4, 7/12, 
  154223/7560, -35131/1008, -11/18, 10/9, 10/9, 26/9, 43/36, -25/12, 
  -779/2520, -32/9, -5071/504, 4/3, -84067/3024, 12331/3780, 64/9, 
  294547/7560, 403/63, -39905/1512, -68/3, -149579/1512, -27/4, 46387/756, 
  174389/45360, -226027/3024, -44234/567, -9830/567, -11281/7560, 8/9, 2, 
  10049/1890, -25/18, -7295/1512, 8131/7560, -2/9, -4145/1512, 5/12, 
  32329/3024, 91814/2835, -23041/3024, -143795/9072, -110651/2268, 
  -11701/7560, 2, 2, 7319/1890, 3/2, -5027/1512, 12961/7560, -2/9, 
  -5783/1512, 5/12, 3367/432, 81104/2835, -24193/3024, -133967/9072, 
  -116591/2268, -8/9, -10/9, 10/9, -11281/7560, 8/9, 10049/1890, -8/9, 
  -5783/1512, 12541/7560, -8/9, -6035/1512, -1/6, 32329/3024, 271843/22680, 
  -23041/3024, -143795/9072, -126425/9072, 11701/7560, -8/9, -6539/1512, 
  -1/6, -29219/7560, 231523/22680, 4357/1512, -140771/9072, -67499/2268, 
  17/18, -11641/1080, 17/6, 40661/1512, 3/4, -80611/945, -17/6, 24431/1008, 
  -3/4, -154615/3024, 6661/7560, -8/9, -9839/1890, 8/9, 5027/1512, 4/9, -4/3, 
  -6857/720, -14/9, -1189/1008, 7/12, -30245/756, 11701/7560, -8/9, 
  -7319/1890, 8/9, 8051/1512, 4/9, -4/3, -7817/720, -14/9, -5221/1008, 7/12, 
  -28733/756, 12331/3780, 64/9, 294547/7560, 403/63, -39905/1512, -68/3, 
  -149579/1512, -27/4, 46387/756, 174389/45360, -226027/3024, -44234/567, 
  -9830/567, 10231/3780, 64/9, 3551/126, 676/63, -1, -68/3, -148445/1512, 
  -27/4, -90509/3780, -22171/45360, -71831/1512, -178637/2268, -634733/9072, 
  -11701/7560, 8/9, 11099/1890, -8/9, -6539/1512, 12121/3780, -16/9, 
  -6287/756, -1/3, 94807/15120, 251683/11340, -11303/3024, -142283/4536, 
  -400957/9072, 13/9, 15737/840, -32/189, -13/9, -38813/1260, 631/378, 
  869/72, -907/72, -384523/7560, 955/72, 69779/1512, -27/8, 77/24, 947/126, 
  -14/3, -28617/560, -2575/252, 45533/1008, -19511/1512, 413/72, 
  1391639/15120, 67/24, -725651/15120, 153457/7560, 19237/378, 74623/7560, 
  48899/3024, 7/9, -11701/2520, 38/9, 10529/630, -1, -797/72, 13/9, -1/3, 
  -35939/2520, -70/9, 248771/5040, 4/3, -48541/1008, -133/36, 17/12, 
  -95173/5040, -1/3, 11765/168, -13/12, -10891/1008, 1/9, 9391/3780, 4/3, 
  3551/252, -4267/756, -2/7, -107/8, -3881/72, -27/8, 121537/3024, -4/3, 
  -8005/216, -18833/504, -1087/168, 119/8, 47743/3024, 27/8, -10831/432, 
  14615/756, 4717/252, 115259/3024, -6029/504, 11/18, 11701/2520, -25/9, 
  -10349/630, 19/6, 5939/504, -11/18, -11911/3780, 59/18, 6017/756, -1/6, 
  17023/1080, 59033/2835, -19/3, -920699/15120, -6967/252, 5573/144, 
  -461273/22680, 593/36, 892567/7560, 37/6, -435997/11340, 14177/360, 
  52625/756, 111067/5040, 12725/3024, -2, -1, -11/18, -11701/3780, 59/18, 
  5639/756, -1/6, -29219/7560, 90661/5670, -19/3, -32909/3780, -5917/252, 
  -895/504, -479543/22680, 593/36, 900127/7560, 37/6, -20135/567, 14177/360, 
  200227/1512, 108547/5040, -2399/378, 1/9, 11701/7560, -4/3, -10889/1890, 
  -7/9, 4859/1512, -13/9, -11701/3780, 19/9, 5939/756, 6191/945, -1/3, 
  -2909/270, -1331159/45360, -1/3, 1369/378, 73739/3024, 1063/72, 
  882689/22680, -103/36, 40801/1512, 27/8, -5189/7560, 915919/45360, 
  578057/9072, -11395/3024, 49411/11340, -10553/252, -88147/9072, 10639/1512, 
  39299/7560, -173713/22680, 134/315, 105673/22680, -10015/1512, 
  -28627/22680, 11/6, -5881/648, 5/12, 1124/81, 54697/1890, -66373/4536, 
  -20023/3024, -124883/3024, -203/36, 277/12, 1209263/9072, 27/4, 
  -813017/45360, 113378/567, 131693/3024, -246563/3024, -43/9, 259009/2160, 
  10775/1008, -124471/1008, -1906127/90720, -449/18, -366917/3360, -43/6, 
  -1928339/12960, -81593/2160, 360247/4320, 2932729/90720, 4050163/90720, 
  10021/7560, -8/9, -8, -20773/3780, -46/9, 7061/1512, -6871/7560, 8/9, 
  -29353/1512, -13/6, -32329/3024, -223393/5670, -47927/3024, 26027/9072, 
  10369/162, 39509/7560, -166783/22680, -2203/2520, 166783/22680, -235/54, 
  -7151/11340, 2/3, -4748/567, -1/6, 74485/4536, -74485/4536, -25169/3024, 
  -7/9, 10/3, 772/189, 2/3, -436/189, 43/36, -25/12, -2119/2520, -10/3, 
  -1471/504, 4/3, -31889/1008, -72161/1680, 22/3, 294487/7560, 38231/560, 
  -63851/1512, -281/12, -44237/336, -27/4, 40297/3024, -601451/22680, 
  -107843/1008, -410819/9072, 139451/4536, 14219/3780, -183733/22680, -2, 
  11881/3780, 149713/22680, -145/21, 436/405, 23/18, -14011/1134, -1/3, 
  251423/9072, 5378/405, -234317/9072, -56549/2268, -145715/9072, 40559/7560, 
  -103093/22680, -2, -23657/3780, 69073/22680, 193/216, 391/405, 23/18, 
  -14389/1134, -1/3, 60539/3240, 5648/405, -58523/2268, -55793/2268, 
  -110611/4536, -5/36, 47227/756, 47227/1512, -47227/1512, -37/36, 
  -47227/1512, -10/9, 192091/2268, 47227/504, 10/9, -910045/4536, 
  525863/4536, -1/18, 1266089/30240, -383107/5040, -3681499/30240, 
  241541/3024, -51661/6048, -149/36, -1173929/30240, -25499/2592, 
  830489/30240, 67/3, 62437/648, 27/4, 43525/1512, -102691/7560, 
  3187523/90720, 5071/63, 42205/756, -49141/6048, -149/36, -1340/63, 
  -42059/2592, -937/252, 67/3, 61951/648, 27/4, 2835709/30240, -54391/7560, 
  34019/1296, 20473/252, 48331/504, 39509/7560, 72131/756, 29/9, 
  -435509/7560, -194765/3024, 125479/1008, -7151/11340, 151/6, 4552313/30240, 
  79/12, 2348189/22680, 114179/756, -360247/4320, -7867429/90720, 
  -888373/90720, -118807/3240, -68/9, 6121/432, -14/9, -5861/504, -47/18, 
  25/12, -7469681/45360, 28/9, 62009/432, -4/3, -80027/756, 3506513/45360, 5, 
  -69467/1890, -238297/15120, 55429/432, 149/6, 3344497/30240, 27/4, 
  577793/15120, 236653/2835, -764243/10080, -2158631/90720, 590707/90720, 
  -14219/3780, 44543/4536, 92/9, 27679/945, 5927/1080, -28339/1512, -436/405, 
  -175/9, -212773/2520, -77/12, 1587611/45360, -697/22680, -90043/1512, 
  -1138843/22680, 117053/9072, -40559/7560, 50339/4536, 92/9, 104057/3780, 
  14507/1080, 5027/1512, -391/405, -175/9, -210043/2520, -77/12, 
  -1002349/11340, -100237/22680, 94699/3024, -1163413/22680, -224683/2268, 
  8/3, 5689/504, -2/3, -6241/7560, 7/9, 20773/3780, -7/9, -5549/1512, -11/12, 
  35/12, 139919/5040, 59/3, 21461/1008, 1/12, 18595/378, -11701/2520, 8/3, 
  3083/210, 4/9, -5401/2520, 5/36, -535/504, 1352989/7560, 5159/36, 
  296279/3780, 3013859/11340, -144629/5670, 11701/270, -7115/756, -80/9, 
  -1128433/7560, -53149/1890, 197273/2520, -377129/7560, 218/9, 98831/756, 
  47/9, -109339/22680, 271597/7560, 2107471/45360, 241748/2835, 11701/756, 
  -80/9, -83389/1890, -339329/7560, 218/9, 99587/756, 47/9, -6586/945, 
  -13579/22680, 31756/945, 637051/45360, 258607/11340, 18, 18, 1, 141/2, 
  21/4, -53, 7613/84, 318/7, -17, 39/28, 65, 1857/7, 81/4, 21361/7560, -8/9, 
  -26, -7349/1890, -335/18, 9167/1512, -18211/7560, -82/9, -154255/1512, 
  -89/12, -32329/3024, 668266/2835, 590785/3024, -2202877/9072, -577597/2268, 
  2, -82/9, -26, -403/18, -2, -36481/7560, -82/9, -156649/1512, -89/12, 
  -206011/1890, 653146/2835, 55987/189, -2181709/9072, -369809/1134, 
  -8267/1080, 13/3, 30461/2520, 208259/7560, -25/3, -113/10, -557/28, 
  107/504, -277/12, -3322/35, 275/12, 11083/140, -27/4, 35/6, 4261/7560, 
  -253819/22680, -65095/504, 23879/2520, 26809/216, -7291/810, -2/3, 
  1056551/15120, 1/6, -1741/2268, 1223/756, -241/108, 1/36, 4795/216, -35/9, 
  -8399/252, -43385/648, 1163/84, 311/24, 356963/7560, 27/8, -13672/189, 
  13/3, 7961/120, 1187369/6480, -31733/432, -365/24, -32819/840, -27/8, 
  -6719/3780, -190817/5040, 1525/63, -7699/945, 107063/3024, 542771/11340, 
  112/9, 36779/2520, -560117/15120, 8/3, 5342/315, 1577/108, -869/72, 5/2, 
  6197/630, -1235/72, -93535/1512, -77/24, -105779/3780, 185933/3024, 5, 
  203969/15120, -7367/72, -45533/1008, 3228563/90720, -143/72, -312907/2160, 
  -67/24, 2230493/90720, -20507/2160, -19237/378, 133193/1890, -48899/3024, 
  -11701/840, 8, 659/12, -32/3, -64921/1260, 3, -11071/1260, 61/9, 
  36751/1260, 1/4, 5/9, 7667/945, 123023/11340, 2/3, -120479/2520, 5717/168, 
  407471/7560, -53891/3240, -779/72, -2375489/15120, -5459/72, 
  -2280701/22680, -648833/7560, -51913/420, -1384253/45360, 7025/56, 
  7291/3780, -17/3, 3803/252, 2041/420, -25/3, -3047/252, -7669/378, -1, 
  2347/72, 327647/2520, -3283/72, -4619/24, 81/8, -329/24, -126001/3780, 
  10439/1512, 78049/1512, 34325/168, 26009/168, 36167/7560, -10/3, 
  -671467/3024, -13/6, -28169/756, -113087/504, 36199/1512, 46975/1512, 
  -61/6, -2725/252, 148495/4536, 137/36, 277/12, 124559/2268, 27/4, 
  63577/1512, -1201339/15120, -477343/9072, 184351/1512, 252863/1512, 
  -39509/3780, 211769/11340, 94/3, 251347/7560, 55597/7560, -40877/1512, 
  7151/5670, 485/9, 535825/9072, 49/3, 1062457/22680, 210353/5040, 
  -6116347/22680, -72341/1512, 7215107/22680, 172189/7560, -312169/11340, 4, 
  -579/28, -1187/35, -37573/7560, 439573/22680, 97/36, 403001/3780, 376/9, 
  4833343/22680, 2771/70, -73189/3780, -226267/9072, -29423/504, 22633/540, 
  857369/5670, -12, -31177/210, -925409/5670, 80551/756, -3156661/22680, 
  20/3, 84875/648, -5/3, -1536203/4536, 106/3, 1536203/4536, -113023/1512, 
  -212/7, 3887/1890, -297637/9072, -475/12, -13613/168, 1600547/45360, 
  11539/1080, -171257/11340, 2905/72, 2069051/15120, -2075/72, -842141/45360, 
  363173/11340, 1640897/11340, 419467/9072, 174179/1296, 16421/540, 36, 
  172423/1512, -119381/1890, -361993/2268, -367/4, -3681571/9072, -27, 
  -111673/756, -202403/1620, -42557/3024, -339079/9072, 8641/162, 
  -109597/11340, -910313/5670, 41/3, 86921/1080, 2083871/22680, 261809/3024, 
  3792881/30240, -509/36, -33373/2592, 1/4, 11234213/30240, -285529/1134, 
  -8879023/30240, 8067407/45360, 1486441/15120}}
