{{1, 4, 4, -4, 14/9, -2, -14/9, 40/9, 40/9, -8/3, 2/9, -4/3, 28/27, 14/27, 
  -4/9, -2, -28/27, 4/9, -2/27, 5/9, 4, -68/3, 1148/27, 356/27, -44/3, -68/3, 
  -2756/27, 4/3, 2756/27, 1148/27, -20/3, 356/27, 2756/27, -16/3, -5764/27, 
  20/3, 2612/27, 373/54, 9/2, -77/6, 77/6, 9, -25/3, -8, 8, 466/27, -466/27, 
  9/2, 599/54, -8, -599/54, 709/27, 205/27, -316/9, 316/9, 92/9, -92/9, 
  -80/3, 34/3, -3674/27, -80/3, 31/3, -3674/27, -704/45, 178/27, 298/27, 
  -88/3, 2476/81, 1378/27, -164/9, -704/45, -2756/27, 164/9, 1378/27, 76/9, 
  178/27, -76/9, 298/27, 11146/27, -11146/27, -76/3, 2476/81, -24448/81, 
  -38/5, 3940/27, -154/27, 125/27, -34/3, -1378/27, -2756/81, 1378/27, 
  3008/81, 574/27, 1486/27, -4/9, -2864/81, 178/27, 20/9, 1378/27, 1378/81, 
  -7376/81, -3008/81, -1486/27, 16/9, 5872/81, -20/9, 2648/81, -3008/81, 
  -26/9, -28/9, 26/9, 28/9, 700/81, 4/3, -556/81, -4/3, 28/9, 466/81, 322/81, 
  -430/81, 844/81, 8/3, 538/81, -466/81, -137/81, -430/81, -12913/81, -52/15, 
  -1378/81, 24035/81, -196/45, 2756/81, -11122/81, -1378/81, 1970/27, 584/27, 
  -15692/81, -82/3, 9782/81, -82/27, 116/9, 3985/18, 2659/81, -14831/54, 
  -4099/81, 1438/27, -5231/27, 80/9, 13333/81, -46/9, -514/27, -4568/81, 
  3674/81, 24448/27, 472/15, -4039/3, -3940/9, -364/27, 26576/27, -377/54, 
  35795/27, 20933/162, -26576/27, -20933/162, 37361/27, 166/5, 33109/81, 
  -49732/27, -33109/81, -1970/3, -472/9, 25634/27, 41/9, -3985/6, -2659/27, 
  57754/81, 5237/9, 514/9, 26908/81, 1540/27, -20, -26908/81, -1756/27, 
  -12484/27, 914/27, 6, 113/27, 1852/9, 1934/27, 77/6, 9, -47/3, 4/3, 12, 
  1378/27, -10, -1378/27, -32/3, -628/27, -1234/27, -142/27, -1198/27, 
  -1504/27, 1450/27, 1504/27, 28/3, -689/9, -13580/27, 196/15, 689/27, 
  14048/27, 1378/27, 2644/9, 28, -1292/3, -44/3, 4913/54, 2659/27, 598/3, 
  719/27, -2780/27, -26/3, -2/3, 8, 826/27, 40/3, -574/27, -905/54, 419/54, 
  -4025/3, -383/54, 26065/27, 22445/162, -24841/81, 29, -352/45, 49682/81, 
  -29, -24841/81, 10870/27, 242/27, -10870/27, 184/9, -295/54, 80/3, 295/54, 
  -2306/27, 12260/81, -3, 6, -6, -6, -10, 10, 782/27, -902/27, -313/27, 
  304/27, 740/27, -69913/486, -250/27, 67969/486, -569/54, -479/27, 281/18, 
  677/54, 2, 28/27, -6035/486, -70/27, 382/27, 46/27, -6500/243, -2540/243, 
  -139/27, 4646/243, 299/27, 28/27, -202/27, -2320/243, -70/27, 44/3, 46/27, 
  -12751/81, -7220/243, 2/3, -5/3, 4, 322/81, -397/27, -52/81, 520/27, -28/9, 
  175/54, 2/27, 80/27, 4/3, 14/9, -50/27, -69089/1458, 23881/243, 64666/729, 
  -220/27, 21503/486, 77/27, 69913/1458, -20207/486, 2, -44/9, 58/9, -44/9, 
  97/9, 58/9, -49/18, -187/9, 49/18, -613/9, -116/9, -136/9, 50800/27, 
  -1069/9, -122/3, -2797502/729, -3854842/729, -11, 2506570/729, -613/9, 
  -136/9, -100246/81, -11, 252646/81, -116/9, -1069/9, 25/3, -122/3, 
  100246/81, -2788025/729, -6222220/729, -58/3, 3971734/729, -425/12, 
  -3634/135, 2294/27, 4054/135, -2021/27, 2003/108, 91/12, 9/8, 1817/45, 
  12700/27, -12700/27, -1189/9, 345011/324, -41/2, 318583/1458, -346523/324, 
  3839533/2916, -171925/162, -4898687/5832, 2747/135, 1817/45, -70675/324, 
  887/135, 70675/324, -446/9, -1189/9, 333539/324, -41/2, -1393769/2916, 
  -1733179/1620, -2347405/2916, -165829/162, 3483167/5832, -232/27, 232/27, 
  -26, 26, 40/3, -345011/243, -28/3, 1837/27, 40/3, -345011/243, -19/3, 
  1837/27, 23686/135, 193/9, 117206731/10206, -2321/27, -2466091/486, 
  59628139/5832, 815480/243, 388/27, -818000/243, 114506893/10206, -35, 
  -148456099/20412, 55/18, -2499199/486, -4553743/3240, 73866305/13608, 
  66948214/10935, 846592/243, 816758/243, 388/27, -1003162/243, -819278/243, 
  52190/81, 114335659/10206, -35, -148113631/20412, 55/18, -1110179/648, 
  -2499199/486, 41548/135, 73784657/13608, 66948214/10935, -44/27, 
  -238813/486, 2939885/729, -3599/45, 870073/243, -2958272/729, -1044133/486, 
  58/27, 6112601/6804, 1705/54, -33134299/40824, 991/18, 238813/162, 
  -577099/324, 1781/18, -3884887/3888, -19031237/6804, 1913/54, 
  60975679/13608, -1171/36, 47277989/174960, 23529817/5832, 347174677/34992, 
  -150536075/40824, -17030938/2187, -613/18, -664/27, -48056/81, -180181/486, 
  -299/27, 124256/81, 87476/243, -58/9, -1087/27, 96125/162, 722/27, 
  -90518/243, -464/27, -445/18, 48056/81, -1258780/729, 5/27, -3246944/729, 
  -51415/81, -2/3, -48334/81, -1571/54, 253502/243, 871/54, 2144435/729, 
  -4010/243, 2216/243, -54490/81, -758/243, -322/27, 2177/405, -208279/972, 
  1745/81, 219871/972, -2164/243, -22/3, -73594/1215, -215947/972, -154/27, 
  -5561/486, -9387389/43740, -367/27, 81401/972, -4272737/8748, 1/3, 
  -154955/486, -4699/810, 1565486/2187, 2447/486, -373303/972, -9419/54, 
  -1331/972, -4156583/8748, 4160/243, 238813/486, 676381/1458, 13931/135, 
  -336638/243, 274141/162, -12961/135, 287645/162, -1575605/729, -23804/27, 
  -697829/756, 221/27, 669010417/40824, -217/27, -142522645/10206, -128/3, 
  1151/27, -20496371/34992, -21834371/5832, -88691129/87480, 6821897/5832, 
  -2173057/43740, 128961643/20412, 340/27, -33860089/10206, -104/27, 
  31540247/21870, 35077307/21870, 31229/486, -238813/81, -7157153/972, 
  -6301/270, 12780749/1296, -18279511/19440, 1132931/189, -2699/27, 
  -212529523/13608, -109/2, -673730549/58320, -14225657/2916, 
  303868565/69984, 106728851/6804, -1174980757/349920, -477626/81, 
  3117319/972, -99301/270, 808793351/174960, 7916159/3888, 44930305/17496, 
  13028179/1134, -767/54, -149205010/5103, 1747/12, 50196883/29160, 
  -1751231/324, -78539591/8748, 4397369/5103, 67568659/3645, 
  -1840836889/174960, 2248729/324, 806/135, 2339172649/174960, -135949/108, 
  12700/27, 24125681/4536, 497/27, 323615/324, 131/4, -63831763/7776, 
  -327590/729, -3870151/2916, -348401/324, 1210031/1458, 29/2, 187/9, 
  52190/81, 721/18, -128390/81, 3146/81, -1604/27, -106729/162, 2716/27, 
  22660/81, 1960871/1458, 2680307/729, 30353/54, -3190741/1458, -100952/27, 
  -2028125/486, 6848/135, 290752/243, 3396073/486, 207346/81, -49027943/3402, 
  674/9, 275778383/10206, -3244/27, 3361079/5832, 1850303/1944, 
  -150793981/29160, -92023387/40824, -15287731/3645, -238813/162, 
  14732788/1215, -650/3, 1136539/108, -14794717/1215, -2017591/324, 
  5880985/2268, -19877/135, -9230587/13608, 12569/54, 28548241/2916, 
  -76844183/9720, -492262973/58320, -193129717/40824, 9513350317/349920, 
  2174670649/174960, -22955017/4860, 194/27, -2280552319/87480, 
  22929817/4860, 2386433989/174960, -64570699/40824, 3572/135, 7519541/10206, 
  -3203/54, 209966851/23328, -2499199/972, -966196349/116640, 71700683/20412, 
  33474107/10935, 113/9, -113/9, 115/54, -115/54, -345011/729, 2, 41306/243, 
  -1334539/2916, -2218/27, 1199707/972, 869149/972, -50059/108, -397709/504, 
  -121/6, -36701717/10206, 746/27, 1218750713/174960, -8095421/5832, 
  -250199861/17496, -48110075/40824, 16979621/3645, -5/9, 5/9, 13/9, -22/27, 
  545803/1944, -1157029/1296, 249149449/233280, 29/27, 3775777/10206, 
  -545803/1944, 5987897/11664, -81099839/139968, -3775777/10206, 
  -10685911/21870, 22/27, -6217513/2916, 241/27, 697337/2916, -29/27, 31/18, 
  -594937/1458, -58/27, -10081/36, -15/2, 16684/729, -1039343/729, -85/9, 
  -113567/243, -163/54, -10871/729, -1043717/729, -85/9, -112109/243, 
  -163/54, -9413/729, 41306/243, 2922325/2916, -1963/27, 2676338/729, 
  2498923/2916, -244804/243, -397709/504, -409/27, -56417759/20412, 746/27, 
  1047788693/174960, -8043013/5832, -239997011/17496, -27321163/13608, 
  16869401/3645, 41306/243, 2922325/2916, -1963/27, 105979/81, 2527327/2916, 
  -130643/243, -397709/504, -409/27, -56386385/20412, 746/27, 
  950371493/174960, -8063533/5832, -248799683/17496, -27420703/13608, 
  16925266/3645, 6, -6, 20653/243, -1189/27, 276631/486, -653/54, 1189/27, 
  -224290/243, 653/54, 130643/486, -397709/1008, -965/108, -25009379/81648, 
  965/108, 3576488/5103, 373/27, -373/27, 1125710993/349920, -8237213/11664, 
  -3506004823/349920, 8271773/11664, 238029383/34992, -100332847/81648, 
  -160/27, 240671759/81648, 62/27, 17089841/7290, -16979621/7290, -7348/243, 
  -31, 1583399/972, 403/27, -1583399/972, -181/27, -35/27, 519401/486, 
  -340/27, 184493/108, 113/27, -31229/486, -22/27, 41306/243, 1646687/5832, 
  -68, 105979/81, 9271409/5832, -130643/243, 29/27, -397709/504, -325/18, 
  -132810725/40824, 788/27, -876251/1944, 5342299/11664, 2293/27, 
  485807365/139968, -62625079/11664, -7713899639/699840, 17111321/40824, 
  176/9, 161587681/40824, -788/27, -1363935061/174960, 38951797/11664, 
  12969487127/699840, -7223723/10206, -50892023/7290, 2674489/2916, 
  -113180/243, 1081/27, -3907873/972, 232309/486, 4439/6, -48548407/81648, 
  319/36, 5894867/5103, -145/9, -916193393/349920, 8511101/11664, 
  219696167/34992, 199167359/81648, -16788341/7290, -20653/243, -116177/243, 
  1081/27, -105979/162, 235081/486, 130643/486, -49194031/81648, 319/36, 
  5912633/5103, -145/9, -880805513/349920, 8441981/11664, 238006055/34992, 
  199354847/81648, -17008781/7290, -20653/243, -2945509/5832, 1274/27, 
  -105979/162, -821225/1944, -76/9, 130643/486, 1358911/1458, 397709/1008, 
  823/108, 2741503/13608, 13/27, 2006239/2916, -43/3, -32/27, 
  -1048616033/349920, 7965271/5832, 4773608593/699840, -655/81, -2/3, 
  21811889/81648, 220/27, -2179969/2916, -92/27, -68450299/21870, -4, 
  20207/486, -41306/243, 2218/27, -805537/1458, 397709/504, 121/6, 
  36701717/10206, -746/27, -922731113/174960, 8095421/5832, 267975863/17496, 
  48110075/40824, -16979621/3645, 41306/243, -1334539/2916, -2218/27, 
  1199707/972, 869149/972, -50059/108, -397709/504, -121/6, -36701717/10206, 
  746/27, 1218750713/174960, -8095421/5832, -250199861/17496, 
  -48110075/40824, 16979621/3645, -33637/324, 16242881/7290, 91241/108, 
  -16242881/7290, -120043/162, 3481777/1512, -2687/405, -7356365/40824, 
  3871/243, -5465149861/699840, -80/27, 5465149861/699840, -10634141/8748, 
  -3674/243, -635/9, -673/27, 25400/27, -4871089/5832, -329302579/58320, 
  8858809/2430, 72041/972, -72041/486, 72041/972, 5058041/2916, 160/27, 
  -1225999/972, -62/27, 7348/243, 44/27, -545803/1944, -58/27, 
  -3775777/10206, 545803/1944, 213625703/69984, 3775777/10206, 
  -213625703/69984, 44/27, -1836733/3888, -47/18, -58/27, 23/36, 
  1836733/3888, 37/18, 1485877/2916, -23/36, -1485877/2916, 176/27, 
  -1330091/25920, -232/27, -3775351/3888, -725274425/139968, 
  1831142291/349920, -41306/243, -6101165/7776, 1963/27, -80567711/23328, 
  -19974857/23328, 2613079/2592, 397709/504, 409/27, 56417759/20412, -746/27, 
  -455749493/174960, 3105307/1944, 841530623/69984, 27321163/13608, 
  -3567442/1215, -41306/243, -6044141/7776, 1963/27, -105979/81, 
  -20579225/23328, 130643/243, 392837/504, 409/27, 28234867/10206, -746/27, 
  -1113080521/349920, 3155239/1944, 231023681/17496, 27365137/13608, 
  -17629243/4860, -41306/243, 1334539/2916, 1289/18, -981739/648, -5509/3888, 
  -141022009/233280, 397709/504, 305/18, 16462970/5103, -746/27, 
  -1169628443/174960, 10202945/11664, 694232909/46656, 2341229/1512, 
  -18238363/4374, -109/54, 36365/2916, 265/18, -36365/2916, 59/54, 80/27, 
  -190451/486, -29/18, 2532541/2916, -17/6, -93011/243, -41306/243, 
  1334539/2916, 4670/27, -1199707/972, -869149/972, 50059/108, 397709/504, 
  2017/54, 36701717/10206, -746/27, -1218750713/174960, 8095421/5832, 
  250199861/17496, 48110075/40824, -16979621/3645, 41306/243, 2922325/2916, 
  26/27, 2676338/729, 2498923/2916, -930604/243, -397709/504, 3637/54, 
  -56417759/20412, 1592/27, 1047788693/174960, 25527011/5832, 
  -101222699/17496, -27096631/13608, -1809589/3645, 41306/243, 3220243/2916, 
  26/27, 274951/81, 2566693/2916, -1323359/243, -387965/504, 3637/54, 
  -56335355/20412, 1592/27, 585391973/174960, 25462751/5832, -16395851/17496, 
  -27230191/13608, -13656134/3645, -751489/1944, 91003409/29160, 1817/270, 
  521149/324, -91003409/29160, -2375405/1944, 8983973/4536, -23209/810, 
  13765775/20412, 10486/243, -10266209791/1399680, 29/18, 
  11288793391/1399680, -126596507/61236, 296525971/1399680, 322/81, 
  11657/810, -238531/1944, 10147/810, 230803/1944, -566/243, -20080/243, 
  -2184272/2187, -21577/810, -17654555/17496, 35939/486, 1813331/4374, 
  1967857/1944, -7007611/11664, -1963/27, 864307289/233280, 365731/432, 
  -523195969/233280, 4364965/13608, -421/27, -116856983/40824, 422/27, 
  4342816273/699840, -6780889/3888, -19266202901/1399680, -78137639/40824, 
  8272609459/1399680, -325289/486, 58517647/14580, -1817/135, 222325/108, 
  -58517647/14580, -1350347/972, 7522615/4536, 15148/405, 33438541/40824, 
  8461/243, -489901481/69984, 349529/486, 520532657/69984, -135673871/61236, 
  701594051/699840, -321425/486, 11721659/2916, -1817/135, 552136/243, 
  -11721659/2916, -86983/54, 22820657/13608, 15148/405, 32680105/40824, 
  8461/243, -166034995/23328, 1747633/2430, 181599187/23328, 
  -134672297/61236, 616794211/699840, 855265/1458, 388/27, -510254/729, 
  -388/27, 55081/486, 308/27, -308/27, 7721809/11664, 160/27, 3866269/3888, 
  -56/27, 7348/243, 41306/243, 1144/9, 359243/243, 1876387/5832, -25400/27, 
  -10584367/13608, -8227/54, -124139/1944, 2360/27, 1235844443/174960, 
  241429879/81648, 57408881/8640, -7349/54, 134885663/408240, -3566035/2916, 
  -2775151/2916, 9721829/5832, 28518487/13608, 7238517701/1224720, 41306/243, 
  -2644039/2916, 359243/243, 27708055/13608, 1349458793/174960, -72041/1944, 
  72041/972, -72041/1944, -5058041/5832, 9198173/5832, 7/9, -136483/648, 
  -1741993/11664, -11843/135, -63747203/77760, 1741993/11664, 80125163/77760, 
  26069915/20412, -463/54, -8328130/1701, 2317/54, 2487073/43740, 
  2466091/972, 19966808/10935, -39316871/11664, 181321/729, 200/9, 
  327380/729, -200/9, -169567/243, -21829043/2916, -8/27, 19068955/2916, 
  -14/27, 284451901/29160, -80/9, -312052781/29160, -487801/5832, -3674/81, 
  -224378/243, 229/9, 448756/243, -229/9, -224378/243, -21809225/2916, -8/27, 
  19049137/2916, -14/27, 9750451/810, -80/27, -9750451/810, -501193/5832, 
  -3674/243, 44/27, 197507/486, -543073/432, 3061/30, -2058083/486, 
  3416519/1944, 195796/81, -58/27, -13639237/27216, -337/54, 13007767/3402, 
  -1841/27, -445277/648, 3368531/1944, -3428/27, -82822903/9720, 
  10960645/2916, 792354161/77760, 10360711/81648, -1447/36, -363136913/81648, 
  1085/27, 120730963/19440, -7879019/1944, -5117103611/233280, 
  49841453/81648, 33998222/3645, 20653/243, 3120937/2916, 4213/54, 
  1076437/486, -974275/648, -3499/54, -1085057/486, 2753941/5832, 
  -130643/243, -128239/336, -1043/108, -76575311/40824, -857/27, 
  -76880333/40824, 589/27, 905/27, 356896853/349920, 2062573/729, 1102/27, 
  8229794179/699840, -1582301/432, -8231664599/699840, 78955909/40824, 
  1381/36, -68428559/40824, -52/9, -2812956649/349920, 3902365/1458, 
  8574397387/699840, -2654255/81648, -1898699/405, 41306/243, 3015061/5832, 
  -6929/90, 276631/243, 6895649/5832, 13519/270, -448580/243, -550595/324, 
  130643/243, -397709/504, 82/27, -476276/5103, 31753/405, 122676251/40824, 
  788/27, -2951/243, 1151503703/174960, -96273061/19440, -317/9, 
  -14027819731/699840, 19948481/3888, 8231664599/699840, -95663369/81648, 
  -26017/1620, -309341989/122472, 89/243, 18539545999/1399680, -3771445/1458, 
  -8575213867/699840, 765443153/244944, 1895864/405, -20653/243, 
  3643033/1944, 719/27, -105979/162, -3611749/1944, 130643/486, 3472757/9072, 
  5873/108, 39045775/40824, -2417/54, -2288185193/349920, 989255/486, 
  2192304379/699840, -202580191/81648, -13126216/3645, 2852773/5832, -35/9, 
  -224378/243, -2787973/2916, 35/9, 448756/243, 2723173/5832, -224378/243, 
  49/18, -10166395/1944, 439/54, 33259273/5832, -14/9, 305/54, -8050675/5832, 
  2493547/1296, 2348433181/233280, -2497387/1296, -675468727/77760, 
  -8954348/5103, -340/27, 116303741/81648, 131/27, -8342393/3645, 
  8287283/3645, -31229/486, 1709323/648, 36078979/11664, 33907/405, 
  2996509969/349920, -5031539/648, -2027224957/349920, -25891757/13608, 
  44885/486, 183328459/13608, 823/54, 6089206157/699840, 62996195/17496, 
  11239619/640, -50987717/5832, -2368187749/1399680, 840335/216, 
  -3483245/1458, 23966/135, 609400339/349920, -3132011/2916, 
  -490809277/349920, -280836335/40824, 55/3, 186100825/10206, -2318/27, 
  65594371/69984, 8242433/5832, -2107669049/349920, 39023399/27216, 
  -16895203/2187, 1466261/1944, -334475153/58320, -26947/405, 
  -668563129/233280, 25924907/6480, 206614609/233280, -17105365/2268, 
  -43694/1215, -81360781/20412, -3259/243, 677882533/58320, -3950011/34992, 
  -28415832181/1399680, 79982731/122472, 3186164269/1399680, -2839/162, 
  122/3, -56324/81, -449/162, 56324/81, -5716/243, 2573/54, 2021845/2916, 
  -1855/27, 694003/1944, -16255727/11664, 4726867/1728, 707753/3402, 
  -713927/2187, 4846759/1944, 42137509/11664, 1793/135, -250835431/233280, 
  -69206165/11664, -20479027/8640, 42307895/5832, -1454/27, -320986171/20412, 
  4087/54, -260599061/34992, 3023911/1944, 1385102723/87480, -65828465/81648, 
  -19863001/10935, 1194065/972, -521003929/58320, 1541/15, -8488705/972, 
  137311639/14580, 1480760/243, -29632957/13608, 23801/162, 90980081/81648, 
  -184225/972, -1336059119/174960, 101271383/19440, 103049057/17496, 
  1390808735/244944, -5226422869/279936, -2292234289/349920, 45950833/14580, 
  2460471259/174960, -45950833/14580, -2628708229/349920, 6862099/11664, 
  -6937/270, -9629/1296, 221/9, 259781323/93312, -400/27, -392265547/93312, 
  934811/11664, -18370/243}}
