{{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 40, -4, 0, 
  0, 224/3, -40, 128/3, 104/3, 0, 68/3, 0, -112/9, -43/2, 44/3, -16/3, -32, 
  -4, 85/6, -44/3, 236/9, 0, 224/3, 16, -368/9, -23/9, -32/9, 0, -592/27, 
  -1301/27, 0, -1024/27, 4060/27, -32/9, 688/27, -1984/27, 199/27, 5, 
  -212/27, 296/27, -2245/54, -125/6, 941/54, -1040/27, 908/27, -275/27, 
  -268/9, -8/9, 42, 500/27, -982/27, -10/3, 1000/81, 5, 1015/81, -112/81, 
  -2245/54, -1327/81, 995/54, 0, 352/81, -592/27, -266/27, -892/27, -6236/81, 
  0, -1120/27, 14656/81, 0, 704/81, 350/9, 5543/162, 2296/81, 2366/81, 
  -7312/81, -620/81, -5450/81, 5/3, 1186/81, 0, 160, 0, 0, -42, 98, -8, 0, 4, 
  -42, 0, -36, -44, 0, 80, 0, -18, 2, 148, 0, 0, -148, -352/3, 74, 1687/12, 
  0, 0, -34, 136/3, 4, 0, -35/9, 2, -148/3, 88/3, -673/6, 0, 224, 0, 68/3, 0, 
  -112/9, -34, 55, -4/3, 214/3, 3230/3, 1807, -14920/3, 863/6, -1663/3, -854, 
  8680/3, 1141/18, -4, 10/3, -7, -8/3, -503/9, 284/9, 533/18, 1120/9, -749/6, 
  -703/18, 0, -10, 136/9, -224/9, 0, -221/9, -499/6, 0, -84, -160/9, 86, 
  -1771/27, -995/9, 10, -544/9, 14959/27, -32/9, 10, -193/27, 3331/27, 
  -7504/27, -208/27, 33, -25411/54, 664/27, -87275/108, 11180/27, 21646/27, 
  75640/27, 30374/27, -10153/27, -133544/27, -2570/27, -34219/54, -94835/108, 
  29710/9, -2348/27, -5, 230/27, 2144/27, 2245/54, 631/27, -1055/54, 446/27, 
  -3728/27, 2521/27, -448/27, -43, 463/2, -306, 1256/3, 76, 1589/18, -1897/4, 
  6563/9, 1411/12, 68, -575/9, 1381/3, 169/6, 110, -11591/18, -21175/36, 
  5836/3, 7585/18, 5585/9, 5557/6, -23120/9, -284/3, -134, -4225/9, 3455/18, 
  -4822/9, 1265/2, -2668/3, -1409, -1/18, -352/3, -2, 2/9, 328/3, -24, 16, 
  -37/3, 4, 4, 4/9, 100/9, 68/9, 80, -184/3, 244/3, -6, -1, -319/9, 12, 
  -134/3, -82/3, 82/9, 328/3, 16, -400/3, -72, -2185/72, 190/9, -412/3, 
  -1208/3, 137/4, 1519/12, -34/3, -976951/1296, 125/4, -9248/81, 10, 
  -77083/324, -1016615/864, 949/4, 10061/648, -850/9, -198143/648, -6589/324, 
  16/3, 2921/36, 208/3, 163/9, -326665/432, 464/3, -4831/54, 8, -29299/108, 
  1075471/2592, -10, -3421/216, 328/3, 23311/216, 0, -4, -5129/162, 0, 
  2825/162, 1013543/2592, -2779/24, -60389/648, 202/9, 59309/648, 
  3027077/2592, -5725/72, 2287/24, 274/9, 22787/72, 6519299/5832, 
  59323405/15552, 104267/144, -13306481/5832, -7775699/2592, 331469/243, 
  36029/144, -4561385/23328, 16/3, -1357897/2592, 4169/36, -757/216, 
  -1644049/3888, 620/3, -12521/108, -148/3, -149/9, -64321/216, -31591/108, 
  31195/108, -4085/32, 7180121/46656, -7066049/23328, 155189/324, 
  -19955029/15552, -36545/48, 332093/3888, 13724441/23328, 840251/2592, 
  -321641/972, 3351259/20736, 1416941/3456, 332777/576, -4085/32, 
  17799533/46656, -6996929/23328, 2248631/2592, -344623/648, 3377/72, 
  332093/3888, 14540057/23328, 166433/324, -321641/972, -5918417/3888, 
  17371301/62208, 3135781/1944, -2210285/10368, -28577969/15552, 1/18, 
  243887/1296, -8402117/23328, 1/18, -702985/648, 1/18, 418013/2592, 
  13447529/23328, 749815/648, -323153/972, 2170105/3888, -2292475/62208, 
  -2940625/3888, -4157/10368, 8940163/15552, -179473/864, 27986317/139968, 
  -7066049/23328, 1/18, 3125057/7776, -195724927/139968, 1/18, -4196347/3888, 
  0, 297947/1458, 13980185/23328, -24569/432, 187255897/139968, 4354477/3888, 
  0, -295433/972, 552797/23328, 0, 588725/5832, -40414193/559872, 
  222507305/559872, 5148637/11664, 82754993/93312, -2940193/5832, 
  -112423495/93312, 32216275/279936, 5847835/5184, -11001149/23328, 
  -8954743/46656, 30912685/93312, 20700071/23328, -34868101/15552, 
  -8939299/23328, 0, -120, 0, 3266473/7776, 2, 191/54, 3264661/648, 
  -3232669/648, -3251737/1296, 3151369/1296, 3289897/1296, -3267553/1296, 
  3264121/1296, -3707/54, 6, 2, 2, -2, -3220609/2592, -3199873/2592, 
  -3614593/2592, 3563041/2592, 3594145/2592, -3284833/2592, 0, 3417601/2592, 
  3407233/2592, -16586597/3888, 3270289/1296, 3387865/3888, -3326/9, 
  3246601/972, -3309457/1944, -3317665/3888, 1838/9, 376/9, 16/9, 91/9, 
  -3221221/1944, 3336889/3888, 212/3, -32, 2180/9, 31/3, 725/9, -31/3, 
  -133/3, -96, -4, -725/9, -839/3, -865/54, -29201/216, 2023/72, 5/9, 
  22541/108, 773/36, -1463/54, 451/27, -1075/8, 55733/216, 35/4, 
  -376585/1296, -376585/1296, -3396817/2592, 3204145/1296, 3200929/864, 
  1351073/864, 990379/648, 1248881/864, 3341281/864, -3088873/2592, 
  -1007947/648, -367513/2592, -6507373/2592, -919943/1944, 0, -3, 
  66205855/3888, 933535/648, -12148319497/559872, 966599/1944, 3894817/2592, 
  -310831745/279936, 12, -62405995/279936, -36564473/7776, -141698795/93312, 
  -3372651299/2239488, -1478863/2592, 1335475499/186624, -36564473/7776, 
  -120459971/93312, -3438263459/2239488, -1478863/2592, 1338848843/186624, 
  -16829705/3888, 188739305/93312, 1421908333/746496, -436591/2592, 
  3500252789/1119744, 898422329/69984, -1791566003/373248, -4886747/432, 
  7335317267/373248, -3461626045/139968, 1815303151/746496, 51022919/2916, 
  -40218308815/746496, -2492435/729, 3614/9, -4613/36, -2278/9, -29539/36, 
  -170635003/46656, 1531879139/139968, 4546484509/746496, -191640631/23328, 
  6704857427/746496, -104673145/46656, 80829625/8748, -1787045555/373248, 
  -179955895/23328, 7840787195/373248, 68719085/15552, 309760613/139968, 
  -1386580307/746496, -17873509/23328, 9168243779/746496, -696793/648, 
  -773/36, -57505/54, 3124/3, -19105/54, -1418047/2592, 9265/72, 53917/216, 
  -7843/9, 29737/216, -544807/162, 1104287/1296, 967499/216, 86923/81, 7/18, 
  -244289/144, 7318175/7776, 2617849/62208, -16303381/11664, -18403471/7776, 
  -273113041/62208, -255919/1944, -4894429/10368, 31379761/7776, 
  48316985/10368, -2797679/2592, 8945023/5184, 39715105/62208, 
  -10349143/5184, 3277645/3456, 13412639/15552, 0, -38463383/7776, 
  -42253645/31104, -26299523/7776, -1502330431/2239488, 389425261/746496, 0, 
  -1635629/2592, -4079681/10368, 0, 16624483/3888, 2121112061/279936, 
  53576353/82944, 8754497/10368, -438045707/373248, -1277573/7776, 
  -137287501/62208, 1514771939/139968, 7712141/1728, 25258276295/2239488, 
  -1791545267/746496, 33904283/31104, -1369086685/139968, 
  -11392015427/746496, 4295/9, -15628061/3888, -3033615671/2239488, 
  4205027507/373248, 15293731427/746496, -12223909139/746496, 1294415/1296, 
  -2475307/5832, 6779201/23328, -445339/288, 710929/1296, -41851/72, 
  -667454/243, -14975297/23328, -1114609/1296, 1322297/972, 59351005/7776, 
  -13524233/62208, -28734359/3888, -6756185/3456, 109444145/15552, 89/18, 
  384235/1296, 5336887/23328, -2227/54, -703499/1296, 493/27, 164941/2592, 
  -76200391/23328, 646547/1296, 8354729/1944, -22167581/3888, 
  -374620967/62208, 35708671/7776, 56380883/10368, -170414173/15552, 
  -3186346/243, 35007731/3888, 3277225/1296, -3112921/1296, -3624097/5184, 
  -3412129/5184, 3372193/1728, -3243169/1728, -2894113/1728, 2522785/2592, 
  3019873/2592, -26755/108, 3194545/1944, -4093753/3888, -3014437/1944, 
  3599563/3888, -20872237/23328, 13255175/1728, -9012877/972, 17186005/15552, 
  -10989707/1944, 448996345/279936, 213079057/373248, -17666/9, 
  -234371401/373248, 9169459/1296, -38159359/93312, -5549114935/1119744, 
  118063/1296, 388874161/186624, 5080757/729, -458257733/69984, 
  1577981747/373248, 64529233/11664, -6946227059/373248, 158807063/15552, 
  1367244875/279936, -6438365/972, -79838579/23328, 13025594471/1119744, 
  13832693/5184, -6796613/15552, 51131933/15552}, 
 {0, 1, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 
  0, 0, 0, -1/3, -1/4, 2/3, -1/12, 0, -1/12, 0, 1/18, 5/8, -1/12, -1/3, -1/4, 
  0, -5/6, 1/12, 2/9, 0, -1/3, -1/2, 11/18, 7/36, -1/18, 0, -43/27, 185/216, 
  0, 29/27, -95/108, -1/18, -119/108, 1/54, 31/108, 1/24, -83/108, 43/54, 
  -43/216, 1, -115/216, 25/108, -67/108, -55/54, 2/9, -19/18, 11/24, 23/27, 
  -53/216, -1/36, 46/81, 1/24, -56/81, -22/81, -43/216, 211/648, -115/216, 0, 
  -26/81, -43/27, 49/108, 65/108, 109/81, 0, 55/54, -199/162, 0, 103/162, 
  -4/9, 179/162, -115/162, -245/162, 32/81, -77/324, -499/648, 29/36, 16/81, 
  0, 1, 1, -1/12, 0, 1/6, 0, 0, 0, -1/4, 0, -1/4, -1/4, 0, 1/2, 0, 0, 0, 
  -1/4, -1/2, 0, 1/4, 37/48, -25/24, -71/48, 0, 0, -1/4, 1/3, 0, 0, -1/72, 0, 
  -1/3, -1/6, -1/24, 3, -5/2, -1/2, 1/12, 1, 5/9, 0, -31/12, -5/6, -2/3, 
  -41/12, -1067/24, 223/12, 10/3, 113/24, 405/16, -85/8, 233/144, 5/18, 
  -7/36, -1/18, -13/12, -3/2, 25/36, -101/144, -239/144, 79/36, 35/48, 0, 
  -1/12, 1/9, 1/9, 0, 23/72, -55/96, 0, -2/3, -16/9, 2/3, 125/108, 67/36, 
  1/12, 5/9, -205/54, 17/18, 1/12, -151/108, -223/54, 197/108, 167/108, 
  23/48, 1723/432, 95/54, 25283/864, 887/432, -4105/216, -2443/216, -373/108, 
  -15241/432, 1927/108, -931/864, 1669/432, 29219/864, -38/3, -2077/864, 
  -1/24, 83/108, 67/54, 43/216, 1/108, 91/216, -43/108, -121/54, -163/216, 
  49/54, 1/8, -37/8, -27/8, 323/48, -1/8, -29/24, 2827/288, -331/48, 
  -745/288, 1/2, -25/18, -79/24, 101/96, 23/16, 923/144, 4085/144, -10, 
  -145/144, 185/144, -1063/48, 979/144, -47/16, -1, -19/36, -151/18, 74/9, 
  217/48, -203/96, -97/8, 1/36, -5/6, 0, -1/9, 1/3, -1/2, 1/2, 1/24, 1/36, 
  1/36, 1/36, -5/72, -1/24, 1/2, -1/3, 1/12, -1/9, 0, 5/18, 0, -1/6, -1/12, 
  -1/24, 1/3, 0, -5/6, -1/4, 215/576, -1/9, 27/4, -7/6, -143/288, -95/36, 
  1/6, 9035/576, -17/96, 293/144, 0, 853/144, 2729/128, -233/96, 43/288, 
  25/36, 1967/288, -7/18, -9/4, -323/192, 1/3, -635/576, 8219/576, -4/3, 
  1271/576, 1/2, 3325/576, -2585/384, -3/2, -7/576, -1/6, -1225/576, 0, 1/36, 
  43/72, 0, -41/72, -8179/1152, 607/576, 367/288, -5/18, -361/288, 
  -25369/1152, 547/576, -409/288, -5/18, -2377/288, -1711/72, -489913/6912, 
  -23617/1728, 130841/2592, 66359/1152, -9241/324, -8651/1728, 16007/3456, 
  -9/4, 4399/384, -193/64, -31/576, 38327/5184, 5/4, 137/36, 1/6, 901/576, 
  1937/432, 433/72, -7559/1728, 8675/3456, -1523/768, 7181/1152, -153/16, 
  154061/6912, 24793/1728, -7939/5184, -133901/10368, -21509/3456, 9223/1296, 
  -53213/27648, -112513/13824, -25265/2304, 8675/3456, -48343/6912, 
  24295/3456, -56321/3456, 5821/576, -191/288, -7939/5184, -139469/10368, 
  -193/18, 9223/1296, 169091/5184, -54571/9216, -87847/2592, 30329/4608, 
  789251/20736, -1/36, -4273/864, 20929/3456, -1/36, 2137/108, -1/36, 
  -7451/3456, -125717/10368, -17981/864, 9151/1296, -62803/5184, 46351/27648, 
  81115/5184, -43333/13824, -253609/20736, 43615/10368, -87599/20736, 
  7181/1152, -1/36, -35287/3456, 518645/20736, -1/36, 52979/2592, 0, 
  -7387/1944, -125645/10368, 14111/5184, -1471501/62208, -108919/5184, 0, 
  8527/1296, -43243/31104, 0, -18389/7776, 146143/82944, -590599/82944, 
  -138103/15552, -646877/41472, 80827/7776, 3187937/124416, -471959/124416, 
  -511927/20736, 362059/31104, 259261/62208, -306265/41472, -576341/31104, 
  950195/20736, 253033/31104, 0, -3/4, -3/4, -30721/3456, 0, 1/108, 
  -91687/864, 30589/288, 91927/1728, -93271/1728, -91015/1728, 30589/576, 
  -91759/1728, -13/108, 0, 1/36, 1/36, -1/36, 30637/1152, 30509/1152, 
  3269/128, -30125/1152, -30125/1152, 30941/1152, 0, -30029/1152, 
  -29965/1152, 153257/1728, -30605/576, -30721/1728, -13/8, -30577/432, 
  30637/864, 30901/1728, 25/12, -17/72, -35/72, -1/72, 30535/864, 
  -30721/1728, -1/3, 1/36, -4/9, -1/24, -5/36, 1/24, 5/72, 13/36, -1/36, 
  5/36, 5/9, -43/864, 715/3456, -5/128, 13/18, -1627/1728, 221/576, 25/864, 
  7/432, 83/384, -1639/3456, 1/18, 6607/1728, 6607/1728, 89383/3456, 
  -91567/1728, -92071/1152, -34295/1152, -28327/864, -34583/1152, 
  -91315/1152, 91423/3456, 28255/864, 6583/3456, 176491/3456, 8683/864, 0, 
  -1/36, -1934399/5184, -13843/288, 102261293/248832, -8443/864, -29261/1152, 
  2835661/124416, 0, 451535/124416, 359035/3456, 1313431/41472, 
  28775023/995328, 6497/384, -11257031/82944, 359035/3456, 1105615/41472, 
  29543983/995328, 6497/384, -11316503/82944, 478333/5184, -1758109/41472, 
  -13176161/331776, 8291/1152, -27168553/497664, -8539369/31104, 
  13393471/165888, 413215/1728, -21727477/55296, 33206057/62208, 
  -18233/110592, -53081/144, 359273291/331776, 10523/144, -5/6, 133/48, 1/72, 
  2083/144, 536297/6912, -14539327/62208, -46358161/331776, 598181/3456, 
  -58288799/331776, 983017/20736, -769331/3888, 13387711/165888, 561461/3456, 
  -70036807/165888, -1890647/20736, -3122557/62208, 9806047/331776, 
  56287/3456, -83214479/331776, 9527/288, 307/288, 8299/576, -27/4, 
  19019/1728, 5563/1152, -2167/576, -4445/576, 59/12, 1951/1728, 18145/288, 
  -401/24, -27001/288, -24529/864, 5/36, 77921/1728, -203681/10368, 
  -36149/27648, 18061/576, 500593/10368, 869071/9216, 10537/2592, 
  112187/13824, -897239/10368, -1324735/13824, 26531/1152, -255493/6912, 
  -166079/9216, 276589/6912, -249457/13824, -357965/20736, 0, 376625/3456, 
  1100611/41472, 248627/3456, 9018203/995328, -3893857/331776, 0, 
  197633/10368, 164159/13824, 0, -241027/2592, -17955421/124416, 
  -2628493/331776, -305471/13824, 3240439/165888, 48971/10368, 1314985/27648, 
  -14407999/62208, -634949/6912, -252089251/995328, 13388863/331776, 
  -998845/41472, 12896201/62208, 34850117/110592, -125/12, 442975/5184, 
  47613715/995328, -35195423/165888, -47126245/110592, 108861791/331776, 
  -46555/1728, 3557/576, -24583/3456, 14687/432, -19469/1728, 31123/3456, 
  72073/1296, 145145/10368, 9193/432, -17455/1296, -437941/2592, 
  128597/27648, 799427/5184, 367829/13824, -3093341/20736, 5/72, -419/72, 
  1745/3456, -43/216, 16973/3456, -61/216, -2761/1152, 580507/10368, 
  -7025/1728, -227209/2592, 2496437/20736, 3439087/27648, -426185/5184, 
  -509323/4608, 4604899/20736, 10309/36, -341923/1728, -91615/1728, 
  91423/1728, 29069/2304, 28685/2304, -79975/2304, 91799/2304, 96919/2304, 
  -36589/1152, -30589/1152, 473/1728, -30625/864, 31441/1728, 2515/72, 
  -61381/3456, 32039/3456, -384037/2304, 5783/27, -394151/20736, 319093/2592, 
  -4126181/124416, 260011/165888, 370/9, 993581/165888, -840389/5184, 
  399227/41472, 48583619/497664, -5611/576, -1795423/27648, -262771/1728, 
  4313419/31104, -12189199/165888, -61405/576, 6749239/18432, -187927/864, 
  -13357813/124416, 102821/864, 115063/1728, -117138247/497664, -484627/6912, 
  164873/6912, -546481/13824}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 15/4, -15/4, -1/2, 0, 0, -10/3, 15/4, -35/6, -37/12, 0, 
  -11/4, 0, 2/9, 15/8, -4/3, 2/3, 3/2, -1/2, -3/4, 7/3, -29/18, 0, -10/3, 
  -7/6, 41/18, 41/72, 13/36, 0, 91/54, 100/27, 0, 5/27, -625/54, 13/36, 
  -145/216, 161/27, 55/108, -1/3, 179/216, -91/108, 1045/432, 1, -557/432, 
  28/27, -77/54, 503/216, 83/36, 5/18, -167/48, -82/27, 251/108, 2/9, 
  -287/324, -1/3, -41/81, 7/162, 1045/432, 77/324, -557/432, 0, 25/81, 91/54, 
  -13/54, 169/54, 4889/648, 0, 59/108, -1205/81, 0, -49/81, -43/18, 
  -3233/1296, -161/324, -214/81, 1985/324, 353/648, 3131/648, -1/72, 
  -679/648, 0, -13, 0, -1/3, 15/4, -41/6, -2, 0, 1, 11/4, 0, 15/4, 7/4, 0, 
  -15/2, 3, 0, 0, -55/4, 0, 0, 55/4, 751/48, -145/24, -617/48, 0, 0, 1, 
  -35/12, 1, 0, -131/36, 1/2, 31/6, -11/3, 499/48, 0, -10, 3, -9/4, -4, 
  -25/9, 2, -15/4, 2/3, -20/3, -232/3, -1609/12, 4363/12, 1/8, 229/6, 491/8, 
  -1631/8, -283/144, -1/18, -55/36, -2/9, 19/12, 103/24, -95/36, -149/144, 
  -1283/144, 529/36, 27/16, 0, 2/3, -35/36, 10/9, 0, 25/36, 173/24, 0, 13/3, 
  14/9, -23/6, 1163/108, 557/72, -2/3, 8/9, -5255/108, -7/18, -2/3, -359/216, 
  -2689/216, 4279/216, 193/54, -29/24, 2117/54, -245/108, 14873/216, 
  -14893/432, -12703/216, -44929/216, -8335/108, 17837/432, 9769/27, 
  1319/864, 2333/54, 13961/216, -1877/8, 3107/864, 1/3, -143/216, -157/27, 
  -1045/432, 47/216, 557/432, -11/54, 1339/108, -2329/216, -7/108, 10, 
  -439/16, 81/2, -361/12, -45/8, -243/16, 4577/144, -819/16, -2215/288, -2, 
  569/72, -122/3, -151/24, -147/8, 1721/36, 521/9, -899/8, -13229/288, 
  -4387/144, -551/8, 24853/144, -383/48, 9/2, 1753/72, -2663/144, 1685/36, 
  -697/24, 3149/48, 341/4, 0, 23/3, -11/4, -3/4, -83/12, 9/4, -3/2, 25/24, 
  -17/36, -17/36, 3/4, -1/72, -55/72, -5, -5/6, -53/12, 131/36, -1/2, 173/36, 
  3, 1/12, 11/3, -197/72, -83/12, -3/2, 55/6, 19/4, 55/36, -7/72, 173/24, 
  76/3, -197/72, -3641/288, 19/6, 745111/10368, 21/8, 19189/1296, -7/2, 
  58093/2592, 841271/6912, -587/48, -49553/5184, 43/18, 213443/5184, 
  1645/648, -1/3, -3163/192, -31/24, 2915/576, 282829/3456, -161/24, 
  18979/1728, -45/8, 42563/1728, -900727/20736, -1, 971/216, -85/24, 
  -11783/864, 0, -89/36, -313/324, 0, 202/81, -837863/20736, 581/72, 
  86957/5184, -181/72, -87497/5184, -2436245/20736, 85/48, -4933/576, -1/72, 
  -20735/576, -5357921/46656, -47877301/124416, -272009/3456, 11189393/46656, 
  2186321/6912, -260537/1944, -87167/3456, 4617113/186624, -1/3, 
  1101785/20736, -3371/192, 373/108, 1454737/31104, -32/3, 19007/864, -4/3, 
  4019/576, 57487/1728, 18289/864, -62711/1728, 88319/6912, -6314393/373248, 
  5665721/186624, -3355/72, 16888789/124416, 283817/3456, -309869/31104, 
  -11681873/186624, -32921/768, 253949/7776, -3370339/165888, -976493/27648, 
  -95611/1536, 88319/6912, -16055981/373248, 5135225/186624, -1821175/20736, 
  123877/2592, -2305/576, -309869/31104, -10952657/186624, -4274/81, 
  253949/7776, 4085765/31104, -14461277/497664, -2432377/15552, 
  1664429/82944, 22204313/124416, 0, -214661/10368, 6379385/186624, 0, 
  582365/5184, 0, -304637/20736, -11651201/186624, -630257/5184, 260645/7776, 
  -1554289/31104, 2049763/497664, 2247589/31104, -54979/82944, 
  -6454363/124416, 434683/20736, -26238013/1119744, 5665721/186624, 0, 
  -848855/20736, 163674415/1119744, 0, 1155163/10368, 0, -297755/11664, 
  -11839121/186624, 42767/10368, -168177553/1119744, -1226395/10368, 0, 
  268781/7776, 164515/186624, 0, -379709/46656, 53101385/4478976, 
  -191120129/4478976, -3916669/93312, -70218953/746496, 2247589/46656, 
  75439879/746496, -24309955/2239488, -13073713/124416, 8609405/186624, 
  5449135/373248, -23943733/746496, -15444719/186624, 27564949/124416, 
  6454363/186624, 0, 39/4, 0, -2445385/62208, 0, -59/36, -2520265/5184, 
  2461225/5184, 2470153/10368, -2425225/10368, -2496937/10368, 2516089/10368, 
  -2486569/10368, 323/36, 3/2, -11/9, -11/9, 11/9, 2428681/20736, 
  2633737/20736, 2769673/20736, -2710345/20736, -2648137/20736, 
  2471017/20736, 0, -2593993/20736, -2696521/20736, 12596285/31104, 
  -2487865/10368, -2566345/31104, 2105/72, -2475625/7776, 2430265/15552, 
  2505433/31104, -215/18, -325/72, -55/72, 1/9, 2453377/15552, 
  -2482537/31104, -73/12, 145/36, -67/3, -25/24, -265/36, 25/24, 275/72, 
  319/36, 17/36, 265/36, 227/9, 275/144, 1585/192, 1201/576, 0, -4151/288, 
  -719/96, 389/144, -245/72, 1681/192, -11263/576, 2/9, 226129/10368, 
  226129/10368, 2529049/20736, -2460937/10368, -2444857/6912, -978793/6912, 
  -739975/5184, -917065/6912, -2535025/6912, 2436025/20736, 761719/5184, 
  236065/20736, 4911385/20736, 715031/15552, 0, 61/72, -44948395/31104, 
  -905215/5184, 9448870945/4478976, -796247/15552, -2928073/20736, 
  239338985/2239488, 3, 43627171/2239488, 24414077/62208, 106939859/746496, 
  2597360555/17915904, 1401007/20736, -1033048499/1492992, 24414077/62208, 
  87456683/746496, 2514699947/17915904, 1401007/20736, -1025144051/1492992, 
  11929637/31104, -142122401/746496, -1056929893/5971968, 426703/20736, 
  -2791984685/8957952, -686795033/559872, 1333850555/2985984, 423227/384, 
  -5374901915/2985984, 2683348453/1119744, -1275330583/5971968, 
  -41655611/23328, 29191069687/5971968, 3537193/11664, -208/9, 297/32, 
  703/72, 23899/288, 125267371/373248, -1160407739/1119744, 
  -3462181141/5971968, 153539455/186624, -4666968923/5971968, 
  81210073/373248, -31335455/34992, 1329807035/2985984, 143879071/186624, 
  -5714169347/2985984, -51754733/124416, -257910245/1119744, 
  1035454811/5971968, 17866525/186624, -6763815371/5971968, 569767/5184, 
  587/72, 149683/1728, -521/8, 49921/1728, 969271/20736, -91/16, -4379/216, 
  3845/72, -419/864, 858059/2592, -805457/10368, -788159/1728, -655289/5184, 
  0, 687887/3456, -5493191/62208, -3219697/497664, 13085629/93312, 
  14100247/62208, 215224201/497664, 133393/15552, 4274557/82944, 
  -24431593/62208, -37306937/82944, 2293655/20736, -6119287/41472, 
  -31365913/497664, 7312327/41472, -233477/3072, -7877783/124416, 0, 
  25879403/62208, 30364069/248832, 18520355/62208, 1051667815/17915904, 
  -253337701/5971968, 0, 503759/6912, 3481073/82944, 0, -11216041/31104, 
  -1630868741/2239488, -47374969/663552, -7450865/82944, 345268307/2985984, 
  698045/62208, 106937989/497664, -1151745275/1119744, -5881549/13824, 
  -19348096175/17915904, 1333850555/5971968, -22449371/248832, 
  1070605141/1119744, 8700251723/5971968, -3643/72, 11128043/31104, 
  3583954079/17915904, -3075090683/2985984, -11709545579/5971968, 
  8906153243/5971968, -1080641/10368, 332053/11664, -5454041/186624, 
  3216077/20736, -154835/3456, 49097/1152, 1975193/7776, 12815441/186624, 
  9943/128, -754889/7776, -42727915/62208, 8282273/497664, 22466579/31104, 
  4179241/27648, -80289725/124416, -1/3, -303037/10368, -525055/186624, 
  1045/432, 413443/10368, -557/432, -183901/20736, 54790327/186624, 
  -257929/10368, -6731909/15552, 15807911/31104, 289710575/497664, 
  -27046369/62208, -44200859/82944, 122980033/124416, 305717/243, 
  -26861651/31104, -2524441/10368, 2385625/10368, 2705737/41472, 
  2657353/41472, -2490313/13824, 2479465/13824, 2127721/13824, 
  -2053993/20736, -2295913/20736, 3545/288, -2460505/15552, 3050185/31104, 
  2239645/15552, -2534107/31104, 8654125/186624, -10006679/13824, 861257/972, 
  -19379989/124416, 7262483/15552, -270182689/2239488, -149685865/2985984, 
  1225/6, 205042273/2985984, -6266749/10368, 22490503/746496, 
  4168319167/8957952, -508711/10368, -255995065/1492992, -1870207/2916, 
  363110921/559872, -1194073499/2985984, -51461593/93312, 5076672539/2985984, 
  -107722559/124416, -1109730323/2239488, 19865417/31104, 61703993/186624, 
  -9178674863/8957952, -11532845/41472, 6818717/124416, -34359173/124416}, 
 {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 15, -2, 0, 
  0, 28, -15, 16, 13, 0, 8, 0, -14/3, -15/2, 5, -2, -12, -2, 9/2, -5, 31/3, 
  0, 28, 6, -46/3, -5/6, -4/3, 0, -74/9, -323/18, 0, -128/9, 503/9, -4/3, 
  181/18, -248/9, 26/9, 11/6, -53/18, 37/9, -571/36, -15/2, 251/36, -130/9, 
  109/9, -89/18, -32/3, -1/3, 181/12, 67/9, -247/18, -11/9, 125/27, 11/6, 
  131/27, -14/27, -571/36, -355/54, 251/36, 0, 44/27, -74/9, -11/3, -107/9, 
  -1529/54, 0, -140/9, 1805/27, 0, 88/27, 15, 1397/108, 287/27, 292/27, 
  -914/27, -161/54, -688/27, 5/6, 301/54, 0, 60, 0, 0, -15, 36, -4, 0, 2, 
  -16, 0, -13, -17, 0, 30, 0, -6, 0, 55, 0, 0, -55, -41, 51/2, 203/4, 0, 0, 
  -13, 17, 2, 0, -17/6, 1, -18, 10, -41, 0, 84, 0, 8, 0, -14/3, -12, 17, -2, 
  26, 375, 1285/2, -1838, 107/2, -387/2, -1189/4, 1071, 143/6, -2, 0, -3, -1, 
  -131/6, 37/3, 35/3, 277/6, -87/2, -89/6, 0, -11/3, 17/3, -28/3, 0, -59/6, 
  -31, 0, -94/3, -20/3, 97/3, -206/9, -251/6, 11/3, -68/3, 1841/9, -4/3, 
  11/3, -49/18, 829/18, -1879/18, -23/9, 37/3, -5761/36, 83/9, -20411/72, 
  2561/18, 2603/9, 9314/9, 3538/9, -1460/9, -16450/9, -319/9, -7927/36, 
  -22187/72, 7331/6, -605/18, -11/6, 59/18, 268/9, 571/36, 163/18, -251/36, 
  55/9, -463/9, 305/9, -56/9, -27/2, 76, -102, 637/4, 55/2, 145/4, -4175/24, 
  539/2, 521/12, 26, -125/6, 337/2, 9, 71/2, -2717/12, -381/2, 733, 1775/12, 
  1307/6, 1317/4, -2848/3, -35, -51, -351/2, 811/12, -590/3, 463/2, -2507/8, 
  -1051/2, 0, -44, -1, 0, 41, -9, 6, -4, 2, 2, 1/2, 4, 5/2, 30, -24, 29, -3, 
  -1, -12, 6, -17, -10, 3, 41, 6, -50, -27, -185/16, 15/2, -103/2, -152, 
  101/8, 1015/24, -3, -220439/864, 105/8, -2089/54, 3, -16889/216, 
  -230839/576, 715/8, 1645/432, -34, -42631/432, -847/108, 2, 79/3, 55/2, 
  137/24, -73829/288, 119/2, -2161/72, 3/2, -820/9, 245543/1728, -4, 
  -743/144, 83/2, 5069/144, 0, -2, -611/54, 0, 323/54, 230263/1728, -689/16, 
  -13093/432, 15/2, 12877/432, 686149/1728, -489/16, 1601/48, 23/2, 4895/48, 
  1470439/3888, 13446293/10368, 23467/96, -2960233/3888, -1751795/1728, 
  74389/162, 2711/32, -985177/15552, 2, -101219/576, 118/3, -167/144, 
  -372209/2592, 79, -2581/72, -20, -175/24, -1609/16, -7055/72, 1747/18, 
  -8309/192, 1643233/31104, -1607977/15552, 8777/54, -4530749/10368, 
  -24691/96, 74701/2592, 3055489/15552, 185315/1728, -72013/648, 
  777923/13824, 323405/2304, 74953/384, -8309/192, 4007221/31104, 
  -1606249/15552, 169757/576, -26245/144, 797/48, 74701/2592, 3290497/15552, 
  1556/9, -72013/648, -1335613/2592, 3792061/41472, 704345/1296, 
  -473101/6912, -6431665/10368, 0, 53263/864, -1936405/15552, 0, -17707/48, 
  0, 97117/1728, 2984641/15552, 56591/144, -72229/648, 484505/2592, 
  -385955/41472, -662549/2592, -40669/6912, 2016803/10368, -40489/576, 
  6224117/93312, -1607977/15552, 0, 687377/5184, -44492087/93312, 0, 
  -946771/2592, 0, 66313/972, 3119425/15552, -1703/96, 42201761/93312, 
  982825/2592, 0, -64813/648, 127165/15552, 0, 130081/3888, -8283049/373248, 
  51473185/373248, 1155821/7776, 18688105/62208, -662549/3888, 
  -25362983/62208, 6175235/186624, 3943153/10368, -2436637/15552, 
  -2023751/31104, 6933173/62208, 4666999/15552, -7856309/10368, 
  -2016803/15552, 0, -45, 0, 731249/5184, 0, 7/6, 733985/432, -725921/432, 
  -731177/864, 706121/864, 739817/864, -735209/864, 733769/864, -151/6, 3, 1, 
  1, -1, -724409/1728, -717497/1728, -821177/1728, 804761/1728, 815129/1728, 
  -736505/1728, 0, 772793/1728, 769337/1728, -3735949/2592, 735353/864, 
  764945/2592, -859/6, 729953/648, -745721/1296, -740105/2592, 245/3, 31/2, 
  1/2, 25/6, -725525/1296, 751985/2592, 27, -12, 181/2, 4, 30, -4, -17, -36, 
  -2, -30, -207/2, -23/4, -807/16, 179/16, 0, 619/8, 57/8, -37/4, 11/2, 
  -791/16, 1547/16, 15/4, -89609/864, -89609/864, -769193/1728, 717569/864, 
  719081/576, 102691/192, 222839/432, 31249/64, 753545/576, -689273/1728, 
  -227159/432, -85217/1728, -1468649/1728, -208663/1296, 0, -3/2, 
  14932259/2592, 193631/432, -2757922577/373248, 219031/1296, 887705/1728, 
  -69739417/186624, 6, -14328755/186624, -8245813/5184, -31795219/62208, 
  -764888827/1492992, -313583/1728, 303211459/124416, -8245813/5184, 
  -27067243/62208, -781463803/1492992, -313583/1728, 304115779/124416, 
  -3798781/2592, 42361729/62208, 320900117/497664, -85775/1728, 
  799188445/746496, 202483201/46656, -412451851/248832, -122155/32, 
  1662312427/248832, -779074373/93312, 455641895/497664, 11454655/1944, 
  -9115505927/497664, -1124999/972, 467/3, -1049/24, -601/6, -2233/8, 
  -38445539/31104, 344998075/93312, 1012107077/497664, -43045055/15552, 
  1527291307/497664, -23540561/31104, 18212687/5832, -411332107/248832, 
  -40440095/15552, 1776823699/248832, 15497653/10368, 69050509/93312, 
  -320624299/497664, -3951629/15552, 2072099227/497664, -150659/432, 31/8, 
  -27859/72, 773/2, -2717/24, -332807/1728, 685/16, 12443/144, -647/2, 
  2705/48, -62125/54, 253663/864, 217687/144, 75191/216, 0, -159271/288, 
  1642039/5184, 570737/41472, -3620813/7776, -4144631/5184, -61182473/41472, 
  -56801/1296, -1095965/6912, 7039769/5184, 10878169/6912, -628999/1728, 
  2019119/3456, 8687897/41472, -2351231/3456, 754541/2304, 3085183/10368, 0, 
  -8676355/5184, -9564965/20736, -5946115/5184, -353031479/1492992, 
  88116245/497664, 0, -347405/1728, -859441/6912, 0, 3755549/2592, 
  481573501/186624, 4150307/18432, 1896241/6912, -100522723/248832, 
  -274381/5184, -30822053/41472, 340721275/93312, 1738037/1152, 
  5648675263/1492992, -412451851/497664, 7615291/20736, -307059845/93312, 
  -2568769819/497664, 159, -3528547/2592, -634955695/1492992, 
  959012299/248832, 3447771451/497664, -2770363243/497664, 284677/864, 
  -604001/3888, 1536265/15552, -879395/1728, 171421/864, -1903/9, 
  -609499/648, -3198265/15552, -257689/864, 319585/648, 13336709/5184, 
  -3244033/41472, -6438859/2592, -1596953/2304, 24648217/10368, 11/6, 
  88139/864, 1478879/15552, -571/36, -56893/288, 251/36, 32957/1728, 
  -17669999/15552, 53149/288, 1885933/1296, -5006581/2592, -84666319/41472, 
  8169971/5184, 12736675/6912, -38583581/10368, -713915/162, 7837675/2592, 
  737225/864, -696617/864, -826649/3456, -780569/3456, 771353/1152, 
  -728249/1152, -651065/1152, 544985/1728, 678329/1728, -2263/24, 
  716345/1296, -934721/2592, -673901/1296, 818351/2592, -5077637/15552, 
  2983423/1152, -1004371/324, 3797117/10368, -2480611/1296, 101119505/186624, 
  53516057/248832, -659, -54961169/248832, 2062705/864, -8702087/62208, 
  -1256146031/746496, -2857/864, 84334745/124416, 9131993/3888, 
  -103019605/46656, 361014475/248832, 14624177/7776, -1577389195/248832, 
  35888575/10368, 305850595/186624, -2942861/1296, -18004999/15552, 
  2958062527/746496, 3058141/3456, -1423021/10368, 11887729/10368}, 
 {0, 0, 0, 0, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 
  0, 1, -1, -5/3, -1/4, 4/3, -2/3, 0, -1/4, 0, -1/18, 9/8, -5/12, 1/12, -1/2, 
  0, -5/4, 5/12, -35/36, 0, -5/3, -4/3, 20/9, 23/36, -1/9, 0, -50/27, 
  343/216, 0, 70/27, -301/108, -1/9, -103/108, -37/54, -19/108, 1/12, -47/54, 
  25/27, -17/54, 4/3, -185/216, 14/27, -185/108, -133/108, 17/18, -10/9, 
  -1/3, 35/54, -2/27, -1/18, 56/81, 1/12, -125/162, -43/162, -17/54, 107/648, 
  -185/216, 0, -55/81, -50/27, 26/27, 125/108, 899/324, 0, 67/27, -292/81, 0, 
  58/81, -13/9, 505/648, -197/162, -191/324, -5/81, 2/81, 23/324, 37/108, 
  1/162, 0, 0, 1, -1/4, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 
  -1/4, -1/2, 0, 1/4, 163/48, -13/4, -223/48, 0, 0, -1/2, 2/3, 0, 0, -11/72, 
  0, -1/6, -5/6, 95/48, 6, -19/2, -5/2, -1/12, 3, 16/9, 9/4, -43/12, -29/12, 
  -15/2, 17/6, -589/8, 267/4, 79/12, 19/12, 665/16, -937/24, 1003/144, -1/6, 
  -3/4, -1/6, -2, -53/18, 23/18, -127/144, -649/144, 77/12, 251/144, 0, -1/6, 
  2/9, 5/9, 0, 91/72, 1/6, 0, -4/3, -37/18, 4/3, 269/54, 137/36, 1/6, 4/9, 
  -1513/108, 26/9, 1/6, -401/108, -901/108, 121/27, 61/27, 49/48, 287/108, 
  59/27, 42535/864, 1957/432, -6929/216, -8555/216, 71/54, -18923/432, 
  7037/108, -2669/864, -287/216, 43207/864, -153/4, 301/864, -1/12, 47/54, 
  89/54, 17/54, 7/54, 161/216, -23/27, -191/54, -311/216, 52/27, 11/8, 
  -299/16, -31/4, 52/3, -1/8, -1237/144, 479/32, -2093/144, -553/96, 1, 
  -145/36, -371/24, 1/6, 47/16, 235/36, 10949/288, -619/24, 521/288, 
  1765/144, -1771/48, 3317/144, -185/16, -2, -17/36, -791/72, 196/9, 139/16, 
  -50/3, -25/2, 1/36, 1/3, 0, -1/9, -5/6, -1/2, 1/2, 1/12, 1/36, 1/36, 1/36, 
  -5/72, -1/24, 3/4, -5/12, 1/6, -1/9, 0, 5/18, 0, -11/24, -1/24, -1/24, 
  -5/6, 0, 1/3, -1/4, 119/144, -49/144, 61/4, -1/3, -125/72, -269/72, 17/24, 
  103759/5184, -9/8, 3011/1296, -1/8, 11461/1296, 84863/3456, -181/24, 
  5209/2592, 161/72, 14609/2592, -1181/1296, -5, -275/288, 2/3, -289/96, 
  28201/1728, -14/3, 2377/864, 3/2, 7361/864, -75559/10368, -23/8, -35/54, 
  -13/12, -131/108, 0, 1/36, 133/81, 0, -433/324, -84791/10368, 553/144, 
  209/2592, -133/144, -263/2592, -272693/10368, 499/144, -635/288, -133/144, 
  -2675/288, -718037/23328, -5264941/62208, -25807/1728, 1475669/23328, 
  692203/10368, -37139/972, -10615/1728, 319481/93312, -5, 48443/3456, 
  -971/288, -79/108, 123673/15552, 1, 1313/432, 5/6, 101/32, 2095/864, 
  3805/432, -1259/864, 10567/3456, -235553/186624, 825281/93312, -30977/2592, 
  1559533/62208, 27559/1728, -25145/15552, -1592633/93312, -54931/10368, 
  36545/3888, -145771/82944, -153413/13824, -28375/2304, 10567/3456, 
  -1354133/186624, 911681/93312, -66209/3456, 1051/72, -107/96, -25145/15552, 
  -1713593/93312, -5917/432, 36545/3888, 651665/15552, -1285973/248832, 
  -336661/7776, 438725/41472, 3004175/62208, -1/36, -31457/5184, 
  844937/93312, -1/36, 6581/288, -1/36, -24557/10368, -1351361/93312, 
  -20425/864, 36113/3888, -207535/15552, -86741/248832, 309013/15552, 
  -166123/41472, -1003573/62208, 53507/10368, -1902757/559872, 825281/93312, 
  -1/36, -402673/31104, 16004311/559872, -1/36, 369515/15552, 0, 
  -44773/11664, -1506233/93312, 23371/5184, -13305577/559872, -373043/15552, 
  0, 31505/3888, -280229/93312, 0, -7027/2916, 354593/2239488, 
  -22110041/2239488, -435517/46656, -5696801/373248, 308149/23328, 
  11786191/373248, -944107/1119744, -2095097/62208, 1547717/93312, 
  975349/186624, -3909001/373248, -2234441/93312, 3602821/62208, 
  1001845/93312, 0, 0, -3/4, -353017/31104, 0, 1/108, -351949/2592, 
  352189/2592, 352885/5184, -359077/5184, -347989/5184, 352621/5184, 
  -353461/5184, 23/108, 0, 1/36, 1/36, -1/36, 351973/10368, 350821/10368, 
  351397/10368, -348229/10368, -348229/10368, 349957/10368, 0, -351685/10368, 
  -351109/10368, 1765193/15552, -353053/5184, -353017/15552, -127/36, 
  -351721/3888, 353341/7776, 353557/15552, 37/9, -5/18, -19/36, -11/72, 
  351883/7776, -353017/15552, -5/12, 1/36, -4/9, -1/12, -5/36, 1/12, 1/9, 
  13/36, -1/36, 5/36, 5/9, -17/432, 425/1728, -5/192, 13/18, -1025/864, 
  151/288, 35/432, -19/216, 49/192, -797/1728, 1/6, 30049/5184, 30049/5184, 
  344749/10368, -349933/5184, -352285/3456, -44311/1152, -28315/648, 
  -43159/1152, -349081/3456, 339925/10368, 28189/648, 27529/10368, 
  677989/10368, 93431/7776, 0, -1/36, -7665055/15552, -159151/2592, 
  1196791165/2239488, -89327/7776, -353413/10368, 25951301/1119744, 0, 
  11284183/1119744, 4294625/31104, 15448535/373248, 334406687/8957952, 
  221359/10368, -131721767/746496, 4294625/31104, 13211375/373248, 
  352948127/8957952, 221359/10368, -133018055/746496, 1858037/15552, 
  -20623997/373248, -152931505/2985984, 101263/10368, -327003929/4478976, 
  -104078597/279936, 158190575/1492992, 545743/1728, -756052175/1492992, 
  404165185/559872, -7275931/2985984, -5642105/11664, 4217517307/2985984, 
  545077/5832, -197/36, 589/144, 59/18, 2095/144, 18580531/186624, 
  -176024183/559872, -539666785/2985984, 21288295/93312, -689897231/2985984, 
  11335825/186624, -18810191/69984, 158138735/1492992, 19857511/93312, 
  -819167351/1492992, -7151429/62208, -37157897/559872, 114866063/2985984, 
  1902205/93312, -964269311/2985984, 110521/2592, -533/72, 20707/864, 
  -535/24, 13987/864, 49783/10368, -541/144, -5381/432, 257/16, -209/108, 
  107063/1296, -112709/5184, -103103/864, -43579/1296, 5/36, 95875/1728, 
  -700379/31104, -304009/248832, 1791859/46656, 1809367/31104, 
  29278849/248832, 61021/7776, 208213/41472, -3417421/31104, -4973921/41472, 
  315659/10368, -994165/20736, -6468625/248832, 1091677/20736, -391781/13824, 
  -1598153/62208, 0, 4490879/31104, 4582513/124416, 2960591/31104, 
  163053307/8957952, -49433905/2985984, 0, 249661/10368, 533369/41472, 0, 
  -1933321/15552, -214914467/1119744, -3719317/331776, -1095545/41472, 
  41080631/1492992, 136673/31104, 15023677/248832, -172960439/559872, 
  -264415/2304, -2970682067/8957952, 158149103/2985984, -3428099/124416, 
  150216457/559872, 1220424959/2985984, -349/24, 3529963/31104, 
  696223811/8957952, -407333231/1492992, -1666420895/2985984, 
  1260039887/2985984, -176975/5184, 20503/1458, -927233/93312, 402565/10368, 
  -119093/5184, 8957/576, 315989/3888, 972713/93312, 153035/5184, 
  -119903/3888, -6868051/31104, 3143033/248832, 3110453/15552, 201035/4608, 
  -12250187/62208, 1/9, -36733/5184, -450955/93312, -17/54, 2705/432, 
  -131/216, -28429/10368, 7428535/93312, -2795/576, -879641/7776, 
  4877377/31104, 41361599/248832, -3300217/31104, -5967683/41472, 
  17714347/62208, 715331/1944, -3968579/15552, -351445/5184, 350293/5184, 
  329797/20736, 303301/20736, -241285/6912, 352069/6912, 387589/6912, 
  -473221/10368, -347653/10368, 259/864, -352153/7776, 359497/15552, 
  346123/7776, -175865/7776, 2310769/93312, -1497431/6912, 1050529/3888, 
  -1174741/62208, 1263923/7776, -41875933/1119744, 5651771/1492992, 1019/18, 
  9602077/1492992, -1108339/5184, 6155563/373248, 568319011/4478976, 
  -44779/5184, -63021877/746496, -9175151/46656, 51108077/279936, 
  -139967951/1492992, -6622681/46656, 720763631/1492992, -17729537/62208, 
  -161016899/1119744, 1188499/7776, 7645901/93312, -1346633243/4478976, 
  -1908377/20736, 2489657/62208, -402937/7776}, 
 {0, 0, 0, 0, 0, 1, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 3/4, 
  0, 0, 1, 1/3, -3/4, 4/3, 1/3, 0, 1/4, 0, -1/18, 3/8, 1/12, -5/12, -1/2, 0, 
  -3/4, -1/12, 19/36, 0, 1/3, -1/3, 2/9, 5/36, -1/9, 0, -50/27, 73/216, 0, 
  22/27, 89/108, -1/9, -103/108, -43/54, 35/108, 1/12, -47/54, 25/27, 
  -61/108, 5/6, -77/216, -1/27, -35/108, -139/108, -1/18, -10/9, 11/12, 
  65/54, -31/54, -1/18, 56/81, 1/12, -49/81, -43/162, -61/108, 161/648, 
  -77/216, 0, -25/81, -50/27, 11/27, 19/108, 125/324, 0, 19/27, 71/81, 0, 
  58/81, -1/9, 937/648, -77/162, -377/324, -44/81, -25/81, -463/324, 29/36, 
  55/162, 0, 4, 3, -1/12, -1/2, 7/6, 0, 0, 0, -1/2, 0, -1, -1, 0, 3/2, 0, 0, 
  0, -1/4, -1/2, 0, 1/4, -17/16, -1/6, 11/48, 0, 0, -1/2, 2/3, 0, 0, 7/72, 0, 
  -7/6, 1/6, -103/48, 3, -1/2, -1/2, 5/12, 1, 4/9, -1/4, -25/12, -11/12, 1/6, 
  41/6, -235/8, -137/4, 29/6, -5/12, 247/16, 431/24, 427/144, 5/18, -1/36, 
  -1/18, -7/6, -37/18, 1, -73/144, -55/144, 13/36, 61/144, 0, -1/6, 2/9, 
  -1/9, 0, 1/72, -59/24, 0, -4/3, -37/18, 4/3, -1/54, 29/36, 1/6, 1/9, 
  305/108, 8/9, 1/6, -131/108, -289/108, -32/27, 34/27, 31/48, -109/108, 
  59/27, 19369/864, 2785/432, -3041/216, 4069/216, 383/54, -19235/432, 
  -3751/108, -1409/864, -467/216, 23497/864, 793/36, -2723/864, -1/12, 47/54, 
  89/54, 61/108, 25/54, 53/216, -8/27, -143/54, -137/216, 22/27, -7/8, 3/16, 
  -25/4, 83/6, -1/8, -41/144, 1561/288, 275/144, -79/288, 1, -73/36, 55/24, 
  97/24, 41/16, -17/36, 7469/288, 245/24, 1913/288, 865/144, -685/48, 
  -2767/144, -127/48, -2, -47/36, -611/72, -1/18, 367/48, -827/48, -22, 1/36, 
  1/3, 0, -1/9, 7/6, -5/2, 1/2, 1/12, 1/36, 1/36, 1/36, -5/72, -1/24, 5/4, 
  -11/12, 1/6, -1/9, 0, 5/18, 0, -5/24, -7/24, -1/24, 7/6, 0, -11/3, -3/4, 
  13/288, 5/144, 15/4, -13/3, -25/144, -29/18, -1/24, 50209/5184, 3/16, 
  1211/1296, 1/8, 5323/1296, 37649/3456, 1/48, 2527/2592, -1/72, 9515/2592, 
  -947/1296, -2, -17/72, 2/3, -83/48, 12775/1728, 4/3, 563/432, 1/2, 803/216, 
  -30217/10368, -9/8, -245/864, 5/12, -1039/864, 0, 1/36, 43/81, 0, -235/324, 
  -37577/10368, -55/288, -349/2592, -7/144, 619/2592, -124715/10368, 17/288, 
  -221/288, -7/144, -1613/288, -327329/23328, -2375635/62208, -12217/1728, 
  741683/23328, 325381/10368, -17213/972, -5017/1728, 262007/93312, -2, 
  25013/3456, -83/72, -317/864, 50935/15552, 4, 809/432, -1/6, 7/16, 
  1591/864, 2041/432, -643/432, 4969/3456, -87143/186624, 331055/93312, 
  -14687/2592, 653755/62208, 12889/1728, -10727/15552, -742007/93312, 
  -30253/10368, 17591/3888, 10379/82944, -70091/13824, -13201/2304, 
  4969/3456, -639155/186624, 417455/93312, -30671/3456, 559/96, -29/96, 
  -10727/15552, -780023/93312, -2761/432, 17591/3888, 349247/15552, 
  -1004939/248832, -165391/7776, 214859/41472, 1465049/62208, -1/36, 
  -17777/5184, 254483/93312, -1/36, 2905/288, -1/36, -7043/10368, 
  -682175/93312, -8983/864, 17159/3888, -132601/15552, 507925/248832, 
  152323/15552, -159301/41472, -503011/62208, 25517/10368, -1308883/559872, 
  331055/93312, -1/36, -223483/31104, 6863857/559872, -1/36, 172703/15552, 0, 
  -20095/11664, -655607/93312, 13669/5184, -6119815/559872, -172181/15552, 0, 
  16007/3888, -138155/93312, 0, -10985/5832, 2283455/2239488, 
  -6627143/2239488, -265003/46656, -2901311/373248, 151459/23328, 
  6722017/373248, -4511365/1119744, -1012631/62208, 752459/93312, 
  587539/186624, -1757335/373248, -1107119/93312, 1716907/62208, 
  501283/93312, 0, -3, -9/4, -174295/31104, 0, 1/108, -172579/2592, 
  172819/2592, 173515/5184, -182299/5184, -168619/5184, 172819/5184, 
  -171499/5184, -67/108, 0, 1/36, 1/36, -1/36, 175195/10368, 174043/10368, 
  133147/10368, -155899/10368, -155899/10368, 183547/10368, 0, -154171/10368, 
  -153595/10368, 865751/15552, -172387/5184, -174295/15552, -163/36, 
  -172999/3888, 172675/7776, 176779/15552, 83/18, -5/18, -37/36, 7/72, 
  172189/7776, -174295/15552, -5/12, 1/36, -4/9, -1/12, -5/36, 1/12, 1/9, 
  13/36, -1/36, 5/36, 5/9, -17/432, 425/1728, -5/192, 13/18, -1457/864, 
  295/288, 35/432, -19/216, 49/192, -797/1728, 1/18, 8575/5184, 8575/5184, 
  160915/10368, -173299/5184, -176611/3456, -6755/384, -3355/162, 
  -21769/1152, -167527/3456, 178699/10368, 6683/324, 7927/10368, 
  318907/10368, 46217/7776, 0, -1/36, -4057009/15552, -102145/2592, 
  508149379/2239488, -42113/7776, -119611/10368, 17020763/1119744, 0, 
  1402633/1119744, 2288399/31104, 7472825/373248, 153040865/8957952, 
  135841/10368, -56645657/746496, 2288399/31104, 6368801/373248, 
  160820321/8957952, 135841/10368, -57418361/746496, 962699/15552, 
  -10032851/373248, -77717839/2985984, 67585/10368, -113755751/4478976, 
  -48163955/279936, 63218705/1492992, 258145/1728, -362328113/1492992, 
  185831215/559872, 65717147/2985984, -2593571/11664, 2018273797/2985984, 
  288919/5832, 163/36, 283/144, -29/9, 961/144, 9475501/186624, 
  -82918553/559872, -279404191/2985984, 9877465/93312, -326008817/2985984, 
  5553199/186624, -8550983/69984, 63166865/1492992, 9286489/93312, 
  -392355977/1492992, -3585035/62208, -17120207/559872, 43769969/2985984, 
  792307/93312, -471350273/2985984, 64207/2592, 317/144, 785/108, 175/24, 
  2921/432, -13703/10368, -665/288, -2545/864, -155/48, 155/864, 24079/648, 
  -55937/5184, -49265/864, -45101/2592, 5/36, 46933/1728, -399365/31104, 
  -164599/248832, 944293/46656, 937609/31104, 14667007/248832, 25831/7776, 
  159163/41472, -1707187/31104, -2429423/41472, 148565/10368, -531187/20736, 
  -3203695/248832, 526027/20736, -147563/13824, -749039/62208, 0, 
  2383889/31104, 2023039/124416, 1497713/31104, 23630725/8957952, 
  -27145423/2985984, 0, 156595/10368, 398423/41472, 0, -1007455/15552, 
  -91121933/1119744, 111893/331776, -670295/41472, 12695945/1492992, 
  137951/31104, 7459267/248832, -82374233/559872, -133009/2304, 
  -1485600941/8957952, 63177233/2985984, -2199149/124416, 73565527/559872, 
  585927425/2985984, -151/24, 1775089/31104, 289614269/8957952, 
  -187865873/1492992, -794449505/2985984, 608553521/2985984, -96713/5184, 
  57661/23328, -433007/93312, 210001/10368, -25799/5184, 2005/288, 
  114191/3888, 935327/93312, 94535/5184, 11911/3888, -3520447/31104, 
  730727/248832, 1440863/15552, 23125/4608, -5975585/62208, 1/9, -17257/5184, 
  -12061/93312, -61/108, 1231/864, -23/216, -18115/10368, 3187825/93312, 
  -1175/576, -411839/7776, 2509873/31104, 19015409/248832, -1423897/31104, 
  -2837429/41472, 8765161/62208, 358589/1944, -1997453/15552, -172363/5184, 
  172651/5184, 139195/20736, 154171/20736, -139387/6912, 172987/6912, 
  201595/6912, -292987/10368, -184699/10368, 259/864, -173431/7776, 
  180775/15552, 167401/7776, -10813/972, 355879/93312, -751145/6912, 
  557581/3888, -323179/62208, 679517/7776, -28632451/1119744, 
  8738501/1492992, 443/18, 923107/1492992, -597013/5184, 2695909/373248, 
  249087229/4478976, -63589/5184, -41655931/746496, -4738061/46656, 
  23507903/279936, -58207505/1492992, -2662447/46656, 330491249/1492992, 
  -9443867/62208, -69529973/1119744, 1042397/15552, 3635897/93312, 
  -688557365/4478976, -1003175/20736, 1623911/62208, -428869/31104}, 
 {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 0, 0, 0, 
  16/3, -3, 4/3, 10/3, 0, 8/3, 0, -8/9, -3, 4/3, 1/3, 0, 0, 2/3, -4/3, 22/9, 
  0, 16/3, 4/3, -28/9, -4/9, -4/9, 0, -68/27, -109/27, 0, -56/27, 368/27, 
  -4/9, 26/27, -176/27, 11/27, 0, -37/27, 34/27, -143/54, -2/3, 73/54, -4/27, 
  64/27, -49/27, -20/9, -7/9, 23/6, 67/27, -74/27, 0, 74/81, 0, 32/81, 28/81, 
  -143/54, -35/81, 73/54, 0, 8/81, -68/27, -4/27, -94/27, -628/81, 0, -68/27, 
  1364/81, 0, 40/81, 8/3, 421/162, 158/81, 220/81, -608/81, -61/81, -415/81, 
  4/27, 95/81, 0, 8, 0, 0, -4, 8, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -1, 
  -1, 0, 1, -44/3, 8, 44/3, 0, 0, 0, 2/3, 0, 0, 8/9, 0, -8/3, 8/3, -22/3, 0, 
  16, 0, 8/3, 0, -8/9, -5, 2, -2/3, 26/3, -182/3, 331/3, -1040/3, -40/3, 
  115/3, -61, 563/3, 61/9, 2/3, 8/3, 0, -2/3, -28/9, 16/9, 14/9, 104/9, -16, 
  -28/9, 0, 0, 2/9, -16/9, 0, -22/9, -23/6, 0, 0, -32/9, 0, -347/27, -73/9, 
  0, -32/9, 1523/27, -4/9, 0, 226/27, 389/27, -743/27, -146/27, -2, 1513/54, 
  158/27, -8437/108, -491/27, 1406/27, 5504/27, -1580/27, -1436/27, -9304/27, 
  349/54, 1951/54, -5485/108, 2035/9, -347/54, 0, 37/27, 22/27, 143/54, 
  143/27, -85/54, 4/27, -28/27, -13/27, -20/27, -8, 26, 4, 58/3, -1/2, 
  991/18, -105/4, 454/9, 67/6, 0, 83/9, 134/3, 5/6, -2, 137/18, -443/36, 
  446/3, 31/9, -566/9, 347/6, -1267/9, 95/3, 0, -38/9, -83/18, -713/9, -17/2, 
  257/6, -27, 1/18, -8/3, 0, -2/9, 17/3, -1, -1, 1/3, 0, 0, 1/18, -1/9, 
  -1/18, 5, -5/3, -7/3, 0, 0, 4/9, 0, -1/3, 1/3, -1/9, 17/3, -1, -20/3, -3, 
  115/72, 13/18, 20/3, -4/3, 9/4, 31/6, -5/3, -7979/324, 31/12, -1234/81, 1, 
  173/162, -15175/216, 11/4, 3361/162, -35/9, -2450/81, -2171/324, -8/3, 
  2009/72, -7/3, -1757/72, -2887/54, 7/3, -2657/216, -5, -475/216, 19493/648, 
  -1, -1361/216, 5/3, 1829/216, 0, 0, 1361/162, 0, -1649/162, 15187/648, 
  -41/8, -1937/81, 25/18, 1991/81, 38317/648, -233/72, 4, 25/18, 92/9, 
  165695/2916, 787079/3888, 295/6, -133879/1458, -112375/648, 9016/243, 
  431/36, -110437/5832, -8/3, -11525/648, 1961/72, -1649/216, -38669/972, 
  8/3, -2261/54, -8/3, -1709/72, -2905/108, 1529/54, 7339/216, -427/72, 
  177805/11664, -93175/5832, 2861/162, -368201/3888, -1829/36, 7399/972, 
  145543/5832, 22261/648, -2038/243, 142781/5184, 6529/864, 2771/72, -427/72, 
  359617/11664, -85831/5832, 29341/648, -8309/648, 89/36, 7399/972, 
  151591/5832, 6289/324, -2038/243, 493/486, 101491/15552, 21245/486, 
  18575/2592, -111791/1944, -1/18, 4667/648, -12440/729, -1/18, -10733/162, 
  -1/18, 8005/648, 135067/5832, 25447/324, -2146/243, -41/486, 115963/15552, 
  -4832/243, -57505/2592, 13951/1944, -2143/216, 644165/34992, -93175/5832, 
  -1/18, 7421/972, -3414191/34992, -1/18, -116659/1944, 0, 30289/1458, 
  152887/5832, 331/27, 4081607/34992, 67451/972, 0, -1786/243, -63095/5832, 
  0, -11611/2916, -1675111/139968, 5451295/139968, 29717/2916, 1409959/23328, 
  -9718/729, 208429/23328, -1316749/69984, 2447/144, -36697/5832, 9965/1458, 
  210653/23328, 52931/2916, -331985/3888, -14059/2916, 0, -6, 0, 22601/1944, 
  0, -1/27, 22811/162, -22871/162, -22559/324, 19787/324, 24035/324, 
  -22817/324, 23513/324, -104/27, 0, 0, 0, 0, -22565/648, -22565/648, 
  -27749/648, 25733/648, 25733/648, -22061/648, 0, 25157/648, 25157/648, 
  -114085/972, 23105/324, 22385/972, -4/9, 22709/243, -23033/486, -21953/972, 
  77/18, -23/18, -23/18, 8/9, -22979/486, 22493/972, -14/3, 1, -31/18, -4/3, 
  -5/9, 4/3, 7/3, 1, 0, 5/9, 7/6, 11/108, 883/432, -5/144, 13/9, -1711/216, 
  209/72, 217/108, -101/54, 33/16, -703/432, 0, -1817/324, -1817/324, 
  -24413/648, 22631/324, 20753/216, 8773/216, 5711/162, 7393/216, 24905/216, 
  -19697/648, -5693/162, -2465/648, -52481/648, -15151/486, 0, 0, -23293/243, 
  -3001/162, -117894377/139968, 15151/486, 30917/648, -2284837/69984, 0, 
  -342695/69984, 22781/486, -757699/23328, -26455267/559872, -1607/648, 
  12330331/46656, 22781/486, -394075/23328, -19984771/559872, -1607/648, 
  11708179/46656, -14639/486, 954841/23328, 6573869/186624, 6745/648, 
  46439413/279936, 7398451/17496, -14327155/93312, -36079/108, 
  41219923/93312, -32831105/34992, 27980015/186624, 511300/729, 
  -199558415/186624, -21761/1458, 179/18, -40/9, -134/9, -242/9, 
  -639287/11664, 10965547/34992, 22770461/186624, -1712297/5832, 
  25823059/186624, -738569/11664, 787961/2187, -14337523/93312, 
  -1583345/5832, 41150107/93312, 401809/3888, 4561051/34992, 
  -10902931/186624, -385715/5832, 47034307/186624, -7609/324, 2075/36, 
  -9293/216, 314/3, -3107/216, -19709/648, -2299/72, 5837/216, -539/9, 
  -2221/216, -44743/324, 13145/648, 4817/27, 6005/81, 5/18, -1115/12, 
  34423/1944, 156263/15552, -33671/729, -125681/1944, -2279567/15552, 
  11471/972, -102665/2592, 213881/1944, 383269/2592, -23743/648, -1993/324, 
  191423/15552, -5041/162, 8873/864, -35797/1944, 0, 33925/972, -159149/7776, 
  -43129/1944, -11340263/559872, -1870675/186624, 0, 5123/648, 11975/2592, 0, 
  -48971/1944, 9329015/34992, 1309937/20736, 32377/2592, -5052691/93312, 
  34967/1944, -1081835/15552, 10856683/34992, 50437/432, 167299303/559872, 
  -14332339/186624, -121817/7776, -8375345/34992, -74368579/186624, 187/9, 
  -115339/3888, -102043831/559872, 25704403/93312, 103068067/186624, 
  -65073427/186624, 27863/648, -217847/5832, 76111/5832, -14227/432, 
  16823/324, -2653/144, -146551/972, 184343/5832, -10951/648, 27274/243, 
  332479/3888, -431215/15552, -222883/972, -119641/864, 485341/3888, 1/18, 
  9457/648, -30577/1458, -143/54, -16135/1296, 50/27, -379/648, -637853/5832, 
  703/81, 83791/486, -329357/7776, -3225055/15552, 635365/3888, 456145/2592, 
  -366523/1944, -87668/243, 240043/972, 22667/324, -22487/324, -26993/1296, 
  -17777/1296, 18689/432, -23045/432, -24197/432, 11909/648, 21341/648, 
  545/216, 11665/243, -22331/972, -50611/972, 94193/3888, 166165/5832, 
  80767/432, -98845/486, 708701/3888, 36119/486, -5735179/69984, 
  5088401/93312, -748/9, -5558057/93312, -15365/648, -158399/23328, 
  -43565135/279936, -21181/324, -2452027/46656, 498617/5832, -2445761/8748, 
  12011419/93312, 792953/2916, -43415611/93312, -502891/7776, 2318759/8748, 
  -431789/1944, -1643861/11664, 41885629/279936, 115357/1296, -219547/3888, 
  1352113/15552}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 5/4, -5/4, -1/2, 0, 0, -5/3, 5/4, -5/3, -7/6, 3/2, -19/12, -3, -11/9, 
  5/8, 1/12, 1/12, 5/2, 1/2, -1/12, 11/12, -5/36, 0, -5/3, -2/3, 11/9, 5/36, 
  -11/18, 1/2, -13/54, 163/54, -3, -50/27, -55/108, 43/18, -385/108, 55/27, 
  541/216, -11/12, 103/216, -41/108, 1643/432, 17/12, -535/432, 62/27, 
  55/108, -157/108, -1/18, -10/9, -47/16, 47/54, 737/216, 4/9, -175/324, 
  -11/12, -541/324, 13/81, 1643/432, 202/81, -535/432, 1/2, -59/162, 41/54, 
  13/54, 1/6, 185/324, -3/2, -79/54, -109/81, 1, -67/162, -25/6, -4627/1296, 
  317/324, 727/324, -26/81, 487/648, 3973/648, -139/108, -857/648, 1, -6, 0, 
  -3, 5/4, -5/2, 0, -3/2, -3/2, 9/4, 3/2, 1, 7/4, 0, -5/2, 1, 0, 0, -19/4, 0, 
  0, 19/4, 283/48, 3/2, -199/48, 3/2, -3/2, 2, -31/12, -3/2, -3, -137/72, 
  -5/4, 25/12, 17/12, 203/48, 0, -5, -1, -13/12, -2, -2/9, 1/4, -5/4, -5/12, 
  -5/6, -178/3, -1085/12, 271/4, -163/8, 104/3, 349/8, -1045/24, -3137/144, 
  3/2, 25/12, 1, 23/6, 53/9, -53/9, -367/144, -721/144, 19/12, 227/144, 1/2, 
  1, -31/36, -17/18, -3/2, 37/72, 35/12, 3/2, 11/3, 5/18, -37/6, 425/216, 
  535/72, -17/6, -17/9, -1907/216, -11/18, 5/3, -55/54, -2807/216, -151/216, 
  571/108, -85/24, 2225/108, -19/108, 6523/216, -7541/432, -9317/216, 
  -6983/216, -6725/108, -29903/432, 7517/108, 4309/864, 1633/54, 8005/216, 
  -2207/72, 349/864, 11/12, 5/216, -128/27, -1643/432, -1085/216, 535/432, 
  -61/54, 1085/108, 145/54, -163/54, 19/8, -55/16, 115/8, -217/6, -15/8, 
  623/144, 459/16, 4477/144, 557/96, -7/4, -413/72, -371/24, -3/2, -11/8, 
  271/9, 220/9, -26/3, -7471/288, -5237/144, -369/8, 5411/144, 263/48, 11, 
  3023/72, 443/144, -302/9, -491/8, 3733/48, 327/4, 0, 16/3, -5/12, -7/8, 
  -61/12, 3/4, -1/2, 1/6, -77/36, -23/36, 13/12, -2/9, -17/36, -15/4, 5/12, 
  -2, 113/36, -19/24, 193/72, 1, 43/24, 25/24, -10/9, -61/12, -1/2, 35/6, 
  13/4, 2155/576, -125/144, 115/8, 59/2, -335/288, -535/96, 5/24, 30715/1152, 
  -67/32, -397/144, 3/8, 4301/288, 50417/2304, -1831/96, 3109/192, 253/72, 
  -1799/192, -479/144, -9/4, 1177/72, -125/24, -5683/288, 8035/1152, -181/24, 
  -761/288, -51/8, 1873/144, -3481/768, -15/8, -3515/576, -61/8, 2393/576, 
  -3/2, -77/36, 703/72, 9/2, -179/24, -1795/256, 4339/576, -7139/576, 
  -329/144, 8471/576, -21499/768, 1177/192, -305/64, -257/144, -5083/576, 
  -13867/576, -3548563/41472, -18317/3456, 363133/5184, 1114751/20736, 
  -38615/648, -2291/384, -27433/6912, -9/4, 309629/20736, 913/72, -3611/576, 
  -39065/10368, -23/2, -801/32, -1/6, -4603/288, 2473/1728, 10625/288, 
  1303/216, 881/256, 13595/4608, 5615/768, -21157/1296, 387979/41472, 
  24293/3456, -4787/10368, -392365/20736, 156193/20736, 42755/2592, 
  413515/55296, -545185/27648, -21421/4608, 817/256, 5989/13824, 47911/6912, 
  -390163/20736, 127283/5184, -467/192, 26317/10368, -331693/20736, 
  -21995/1296, 31091/2592, 960515/10368, -165017/55296, -310615/5184, 
  391499/27648, 2582567/41472, 0, -7243/1152, 82027/6912, 0, 96167/5184, 0, 
  -1849/2304, -397789/20736, -67385/5184, 40523/2592, -310879/10368, 
  200519/55296, 294811/10368, -370757/27648, -1117093/41472, 3829/768, 
  153637/41472, 5615/768, 0, -993125/62208, 187699/13824, 0, 641911/31104, 
  -1/4, 2017/972, -400237/20736, 15283/1152, 765523/124416, -500701/31104, 
  3/2, 42563/2592, -574331/62208, -3/2, -121055/15552, -1112057/165888, 
  60785/165888, -555227/31104, -2977471/248832, 294811/15552, 
  19403425/248832, -1910935/248832, -6342869/124416, 1300955/62208, 
  2225665/124416, -659153/82944, -2296337/62208, 99257/1536, 1117093/62208, 
  -3/4, 9/2, 0, -37343/2304, 0, 11/12, -112981/576, 114997/576, 112837/1152, 
  -107173/1152, -121285/1152, 116005/1152, -114613/1152, -1/4, 0, -5/36, 
  -8/9, 25/18, 35887/768, 113549/2304, 126925/2304, -44047/768, -42703/768, 
  13477/256, -3, -114269/2304, -40127/768, 189523/1152, -108949/1152, 
  -13429/384, 101/6, -4191/32, 36599/576, 42199/1152, -101/12, -43/18, 
  -41/36, 133/72, 35507/576, -38527/1152, -2, 67/36, -59/8, -1/6, -85/36, 
  1/6, 29/18, 103/36, 23/36, 85/36, 595/72, 71/144, 461/192, 349/576, 0, 
  -755/288, -347/96, 53/144, -59/72, 613/192, -4195/576, -7/4, 76679/3456, 
  76679/3456, 115621/2304, -116485/1152, -108581/768, -487549/6912, 
  -12605/192, -545917/6912, -381911/2304, 112741/2304, 13453/192, 88295/6912, 
  685519/6912, 8603/1728, -3/4, 155/144, -11561513/10368, -150713/1728, 
  344798453/497664, -12731/1728, -47311/768, 10307341/248832, 7/4, 
  3663215/248832, 747863/2304, 5533231/82944, 109094215/1990656, 182441/6912, 
  -39446063/165888, 744407/2304, 5200039/82944, 129930439/1990656, 
  223913/6912, -40978511/165888, 2519839/10368, -7364437/82944, 
  -56986889/663552, 91625/6912, -70805617/995328, -29589493/62208, 
  61974679/331776, 148327/384, -33604607/36864, 101531513/124416, 
  -15308129/221184, -996475/2592, 1749332099/663552, 62075/324, -83/4, 
  1493/288, 295/36, 7195/288, 7246487/41472, -52927303/124416, 
  -172693369/663552, 4825403/20736, -336597431/663552, 44653/512, 
  -2347667/7776, 61684375/331776, 4406939/20736, -331149823/331776, 
  -7891139/41472, -5116417/124416, 47157943/663552, -585343/20736, 
  -381768935/663552, 25519/576, -2653/288, 3985/96, 65/6, 16313/864, 
  33707/2304, -2021/192, -4277/576, 703/144, -3559/1728, 2810/27, 
  -112657/3456, -27523/192, -21713/864, 0, 67657/1152, -830657/20736, 
  122305/18432, 166315/3456, 1861057/20736, 25307359/165888, 109519/5184, 
  -252293/27648, -3387583/20736, -1489781/9216, 152801/6912, -495539/4608, 
  -1291717/55296, 1381705/13824, -2149025/27648, -2961545/41472, 1/4, 
  758729/2304, 5657947/82944, 448277/2304, 69563219/1990656, 
  -25746697/663552, -3/2, 806449/20736, 486071/27648, 3, -2928377/10368, 
  -67670797/248832, 1613291/663552, -838775/27648, 12882319/331776, 
  390395/20736, 4323169/55296, -51961351/124416, -828035/4608, 
  -882319387/1990656, 61974679/663552, -5339149/82944, 43430585/124416, 
  130594765/221184, -161/9, 2302225/10368, -221488565/1990656, 
  -170659799/331776, -170285485/221184, 521982071/663552, -10067/384, 
  51011/1728, -49927/6912, 1123615/20736, -206593/10368, 27341/864, 
  140747/2592, 242149/20736, 527053/10368, -13691/2592, -8193523/20736, 
  1087117/55296, 2870057/10368, 192223/9216, -13694975/41472, -11/12, 
  -2173/384, -114785/6912, 1643/432, 186439/10368, -535/432, -36235/6912, 
  1969859/20736, -138115/10368, -673763/5184, 3271217/10368, 11672675/55296, 
  -3470533/20736, -1522615/9216, 22844011/41472, 17989/36, -394645/1152, 
  -112709/1152, 111941/1152, 37999/1536, 134989/4608, -44559/512, 
  337895/4608, 97997/1536, -18415/768, -89357/2304, 533/288, -37471/576, 
  44959/1152, 35027/576, -4309/128, 2219633/20736, -479171/1536, 18593/54, 
  3003013/41472, 2051965/5184, -32271845/248832, -2311901/331776, 196/3, 
  -487243/331776, -4680341/10368, 2805203/82944, 196359563/995328, 
  -169385/3456, -2900789/18432, -1789961/5184, 10054249/62208, 
  -54736087/331776, -709445/10368, 10619701/12288, -9182443/13824, 
  -33648943/248832, 140689/576, 957835/20736, -646255867/995328, 
  -355609/4608, -6493/512, -673267/4608}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 15/4, -15/4, -1/2, 0, 0, -23/3, 15/4, -11/3, 
  -19/6, -3/2, -11/12, 3, 5/18, 15/8, -29/12, 7/12, 13/4, 0, -5/3, 17/12, 
  -17/9, 0, -23/3, -4/3, 35/9, -1/36, 37/18, -1/2, 46/27, 1051/216, 3, 
  160/27, -1975/108, -17/18, -97/27, 431/54, -115/108, 5/24, -1/108, -23/27, 
  775/216, 5/2, -503/216, 317/108, -473/108, 127/54, 59/18, -7/36, -41/24, 
  -191/108, 473/216, 1/36, -85/81, 5/24, -109/81, 16/81, 775/216, 1253/648, 
  -503/216, -1/2, 115/162, 46/27, -31/108, 73/36, 1531/162, 3/2, 323/54, 
  -1624/81, -1, -62/81, -137/36, -361/324, -178/81, -1003/162, 733/81, 
  263/324, 2959/648, 47/108, -91/81, -1, -14, 0, -1, 15/4, -15/2, 0, 3/2, 
  3/2, 11/4, -3/2, 4, 13/4, 0, -15/2, 3, 0, 0, -55/4, 0, 0, 55/4, 649/48, -6, 
  -613/48, -3/2, 3/2, 13/4, -13/3, 3/2, 3, 49/72, 5/4, 55/12, -73/12, 473/48, 
  0, -23, 0, -5/12, 2, 5/18, 7/4, -15/4, 37/12, -35/6, -1351/12, -1419/8, 
  2419/4, -203/8, 1429/24, 1299/16, -8287/24, 163/144, 1/2, -5/12, 1/3, 1/2, 
  47/9, -32/9, -277/144, -1435/144, 51/4, 401/144, -1/2, 3/4, -13/9, 73/18, 
  3/2, 115/72, 49/6, -3/2, 32/3, 10/9, -29/3, -149/108, 503/36, 17/12, 40/9, 
  -2933/54, 91/18, -37/12, 757/108, -283/27, 3451/108, -371/108, -97/24, 
  19031/432, -37/27, 58117/864, -17681/432, -17801/216, -73967/216, 
  -12869/108, 39355/432, 65033/108, 12793/864, 27857/432, 84805/864, -3652/9, 
  7537/864, -5/24, -107/108, -385/54, -775/216, -169/108, 503/216, 25/108, 
  320/27, -2405/216, 131/54, 45/8, -349/16, 107/2, -2009/48, -45/8, 883/72, 
  5377/96, -18743/144, -2759/96, -41/4, 163/18, -965/24, -61/12, -53/2, 
  7903/144, 5777/72, -5329/24, -13945/288, -12227/144, -1419/16, 47951/144, 
  1387/48, 27/2, 1795/36, -1021/36, 2557/36, -227/4, 12623/96, 1049/8, 0, 
  28/3, -1/4, 3/8, -103/12, 9/4, -3/2, 5/6, -53/36, -107/36, -3/4, 13/36, 
  -7/18, -25/4, 43/12, -19/3, 167/36, 5/8, -5/72, -1, 73/24, 83/24, 23/36, 
  -103/12, -3/2, 65/6, 23/4, 647/288, -257/144, 73/4, 89/3, -343/144, 
  -329/48, 11/24, 38821/864, -71/16, 5383/432, -3/8, 1471/216, 49765/576, 
  -329/16, -3311/432, 487/72, 9953/432, 413/108, -9/4, -4013/288, -61/12, 
  2585/288, 16319/288, -185/12, 941/96, 3/4, 1027/96, -55861/1728, -7/8, 
  1099/288, -22/3, -2389/288, 3/2, -17/36, -82/27, -9/2, 451/108, 
  -50021/1728, 2747/288, 332/27, 91/144, -5699/432, -140111/1728, 893/96, 
  -20/3, -269/144, -2101/144, -77561/972, -2772875/10368, -46229/864, 
  519113/3888, 1090259/5184, -5876/81, -4889/288, 216239/15552, -9/4, 
  171905/5184, -5141/288, 859/288, 93899/2592, -69/4, 1427/72, 29/6, 
  3857/288, 4673/216, 13/12, -20381/864, 4829/576, -435899/31104, 
  343103/15552, -4847/162, 1030583/10368, 48227/864, -15709/2592, 
  -547031/15552, -139355/5184, 9493/648, -88295/4608, -167941/6912, 
  -49021/1152, 4973/576, -915047/31104, 345407/15552, -317071/5184, 
  81367/2592, -43/12, -23485/2592, -639767/15552, -19255/648, 12409/648, 
  188437/2592, -460523/41472, -121241/1296, 24439/6912, 1151095/10368, 0, 
  -4237/432, 413825/15552, 0, 51685/648, 0, -24875/1728, -485867/15552, 
  -56563/648, 10987/648, -64541/2592, -156059/41472, 115751/2592, 31133/2304, 
  -326405/10368, 24217/1728, -1523311/93312, 343103/15552, 0, -310355/15552, 
  10143181/93312, 0, 292841/3888, 1/4, -64687/3888, -560279/15552, -4189/864, 
  -10136551/93312, -626857/7776, -3/2, 8221/648, 47009/15552, 3/2, -1277/486, 
  1960127/373248, -13846535/373248, -2323/96, -1311733/20736, 115751/3888, 
  3366101/62208, 1286303/186624, -1911953/31104, 359503/15552, 190961/31104, 
  -1385563/62208, -789409/15552, 1479607/10368, 326405/15552, 3/4, 21/2, 0, 
  -120163/5184, 0, -47/36, -125905/432, 121561/432, 123925/864, -120973/864, 
  -122773/864, 127501/864, -124177/864, 269/36, 0, -71/36, -11/9, 13/18, 
  123007/1728, 126271/1728, 149263/1728, -135175/1728, -138199/1728, 
  118831/1728, 3, -138403/1728, -137659/1728, 638129/2592, -125881/864, 
  -130243/2592, 32, -124141/648, 125293/1296, 114565/2592, -211/12, -32/9, 
  7/36, -293/72, 63551/648, -123259/2592, -17/3, 109/36, -527/24, -5/6, 
  -265/36, 5/6, 65/18, 319/36, 53/36, 265/36, 1789/72, 227/144, 2173/192, 
  -659/576, 0, -5243/288, -323/96, 365/144, -167/72, 2053/192, -12691/576, 
  -7/12, 4901/288, 4901/288, 133933/1728, -117733/864, -123661/576, 
  -158443/1728, -74099/864, -122059/1728, -42217/192, 114205/1728, 76475/864, 
  2557/576, 248933/1728, 39425/1296, 3/4, 221/144, -649693/864, -4363/144, 
  531293815/373248, -45869/1296, -153319/1728, 11587607/186624, -7/4, 
  2225917/186624, 1023185/5184, 5062517/62208, 142764125/1492992, 12611/576, 
  -57916469/124416, 1030961/5184, 4197533/62208, 135442589/1492992, 9155/576, 
  -57355589/124416, 185885/864, -6942215/62208, -54070483/497664, -29/64, 
  -168475211/746496, -36193235/46656, 80691917/248832, 197495/288, 
  -277308269/248832, 143708299/93312, -133852753/497664, -2258933/1944, 
  1484346673/497664, 168553/972, -217/6, 647/72, 835/36, 3175/72, 
  6166777/31104, -60373661/93312, -157480099/497664, 8054101/15552, 
  -237052397/497664, 4058923/31104, -6773789/11664, 80401613/248832, 
  7632037/15552, -293359973/248832, -2615803/10368, -13798451/93312, 
  64632365/497664, 1122679/15552, -337945661/497664, 23389/432, 1063/144, 
  29981/288, -3859/24, 8063/864, 82381/1728, -1613/96, -857/32, 16777/144, 
  -12527/864, 11017/48, -923/16, -40631/144, -179/3, 0, 8999/96, 
  -260761/5184, -136711/41472, 303281/3888, 715289/5184, 10662527/41472, 
  2809/2592, 261719/6912, -1190285/5184, -1946003/6912, 133039/1728, 
  -281257/3456, -1311631/41472, 375053/3456, -281573/6912, -388057/10368, 
  -1/4, 1108595/5184, 1508435/20736, 877925/5184, 74681857/1492992, 
  -11901139/497664, 3/2, 98737/5184, 63355/6912, -3, -41651/216, 
  -91084259/186624, -10242397/165888, -254635/6912, 21158645/248832, 
  -8213/5184, 5326435/41472, -59295389/93312, -298891/1152, 
  -938853497/1492992, 80691917/497664, -333419/6912, 53477635/93312, 
  448909181/497664, -1975/72, 89741/432, 218122121/1492992, 
  -167994605/248832, -609187229/497664, 455158829/497664, -48971/864, 
  210611/7776, -332447/15552, 48185/648, -123787/2592, 94117/1728, 
  296093/1296, 728507/15552, 64673/1296, -14351/81, -1020919/2592, 
  -14617/41472, 1082605/2592, 152945/768, -3943981/10368, 5/24, -4915/216, 
  -430195/15552, 775/216, 255485/5184, -503/216, -1979/1728, 3742801/15552, 
  -119257/2592, -363223/1296, 3011383/10368, 15523709/41472, -99251/324, 
  -2395685/6912, 6161903/10368, 484981/648, -1331441/2592, -125845/864, 
  114469/864, 150511/3456, 136303/3456, -126343/1152, 41093/384, 82639/1152, 
  -73975/1728, -121087/1728, 6437/288, -122395/1296, 170563/2592, 27361/324, 
  -276605/5184, 462313/15552, -519469/1152, 695231/1296, -375893/3456, 
  35291/144, -10223311/186624, -14478943/248832, 677/6, 14069767/248832, 
  -788651/2592, 679297/62208, 205698553/746496, 4093/96, -4710295/124416, 
  -5625751/15552, 20992745/46656, -67372061/248832, -3410959/7776, 
  263639885/248832, -2411089/5184, -58829819/186624, 1155155/2592, 
  1802419/7776, -448556669/746496, -479945/3456, -304369/10368, 
  -4626169/20736}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -15, 15, -2, 0, 0, 80/3, -15, 50/3, 38/3, 0, 8, 0, -40/9, -6, 11/3, 
  -7/3, -10, 0, 3, -17/3, 83/9, 0, 80/3, 16/3, -128/9, -8/9, -8/9, 0, 
  -184/27, -440/27, 0, -400/27, 1348/27, -8/9, 226/27, -640/27, 70/27, 3/2, 
  -80/27, 92/27, -721/54, -19/3, 166/27, -350/27, 353/27, -134/27, -94/9, 
  -8/9, 79/6, 170/27, -617/54, -1, 340/81, 3/2, 292/81, -64/81, -721/54, 
  -397/81, 166/27, 0, 160/81, -184/27, -107/27, -316/27, -2081/81, 0, 
  -424/27, 4924/81, 0, 248/81, 112/9, 1739/162, 844/81, 803/81, -2440/81, 
  -209/81, -3499/162, 0, 382/81, 0, 56, 0, 0, -13, 30, -4, 0, 2, -15, 0, -11, 
  -15, 0, 30, 0, -6, 0, 55, 0, 0, -55, -124/3, 21, 275/6, 0, 0, -11, 52/3, 2, 
  0, -49/18, 1, -49/3, 28/3, -449/12, 0, 80, 0, 8, 0, -40/9, -7, 14, -13/3, 
  70/3, 367, 1133/2, -4948/3, 29, -393/2, -1019/4, 2929/3, 137/9, -2, 0, -2, 
  0, -176/9, 98/9, 85/9, 358/9, -127/3, -107/9, 0, -3, 52/9, -80/9, 0, 
  -169/18, -86/3, 0, -26, -40/9, 27, -643/27, -332/9, 3, -208/9, 5047/27, 
  -8/9, 3, -10/27, 1141/27, -2515/27, -97/27, 9, -18401/108, 148/27, 
  -56731/216, 3797/27, 13805/54, 25165/27, 10433/27, -8141/54, -44276/27, 
  -713/27, -23417/108, -59659/216, 9829/9, -752/27, -3/2, 89/27, 770/27, 
  721/54, 127/27, -166/27, 161/27, -1328/27, 961/27, -184/27, -29/2, 257/4, 
  -74, 1385/12, 55/2, 985/36, -3691/24, 2201/9, 87/2, 22, -227/9, 953/6, 
  22/3, 49/2, -8185/36, -12947/72, 1999/3, 1211/9, 3583/18, 1165/4, -7562/9, 
  -20, -43, -1330/9, 1283/18, -1651/9, 184, -1493/6, -923/2, 0, -112/3, -1, 
  0, 103/3, -9, 6, -29/6, 2, 2, 1, 7/2, 2, 25, -67/3, 88/3, -3, -5/2, -19/2, 
  6, -79/6, -65/6, 5/2, 103/3, 6, -130/3, -23, -197/16, 79/12, -73, -428/3, 
  271/24, 1405/36, -11/6, -328193/1296, 299/24, -4499/162, 7/2, -27101/324, 
  -322849/864, 2203/24, -5939/648, -191/6, -55999/648, -881/324, 9, 1535/144, 
  79/3, 2993/144, -101735/432, 191/3, -9475/432, 1, -40781/432, 330329/2592, 
  5/2, -589/432, 109/3, 13237/432, 0, -2, -2953/162, 0, 2053/162, 
  322633/2592, -1967/48, -9613/648, 89/12, 10801/648, 978427/2592, -537/16, 
  2195/72, 137/12, 7361/72, 528571/1458, 19039547/15552, 32435/144, 
  -4344751/5832, -2457605/2592, 111781/243, 35281/432, -1246567/23328, 9, 
  -151093/864, 3791/144, 1499/432, -494567/3888, 75, -322/27, -58/3, 449/144, 
  -769/9, -3185/27, 34069/432, -35929/864, 2101651/46656, -2301151/23328, 
  103819/648, -6119687/15552, -34127/144, 96991/3888, 4471111/23328, 
  232253/2592, -108595/972, 842045/20736, 491771/3456, 104041/576, 
  -35929/864, 5449663/46656, -2314975/23328, 26759/96, -27031/144, 1097/72, 
  96991/3888, 4830535/23328, 18599/108, -108595/972, -2101471/3888, 
  5787427/62208, 1060067/1944, -816571/10368, -9578545/15552, 0, 40211/648, 
  -2791417/23328, 0, -36967/108, 0, 129955/2592, 4306951/23328, 77347/216, 
  -108487/972, 760721/3888, -786893/62208, -997859/3888, 93077/10368, 
  3108779/15552, -175757/2592, 8083703/139968, -2301151/23328, 0, 
  1069625/7776, -60769853/139968, 0, -334387/972, 0, 173615/2916, 
  4550599/23328, -37453/1296, 54982775/139968, 1369741/3888, 0, -97507/972, 
  424027/23328, 0, 27335/729, -8860087/559872, 66783583/559872, 
  1731467/11664, 25498903/93312, -997859/5832, -40325297/93312, 
  13272533/279936, 6095143/15552, -3783259/23328, -3353867/46656, 
  10542215/93312, 7100215/23328, -11558555/15552, -3108779/23328, 0, -42, 0, 
  1092227/7776, 0, 5/3, 1099319/648, -1083335/648, -1095215/1296, 
  1072319/1296, 1093487/1296, -1100831/1296, 1095431/1296, -74/3, 3, 1, 1, 
  -1, -1089167/2592, -1078799/2592, -1218767/2592, 1182911/2592, 
  1198463/2592, -1083551/2592, 0, 1152671/2592, 1147487/2592, -5589115/3888, 
  1101191/1296, 1142771/3888, -1246/9, 1093199/972, -1116095/1944, 
  -1097519/3888, 697/9, 46/3, 1/3, 77/18, -1089581/1944, 1123331/3888, 86/3, 
  -12, 90, 29/6, 30, -29/6, -107/6, -36, -2, -30, -103, -73/12, -831/16, 
  529/48, 0, 2009/24, 33/8, -131/12, 47/6, -791/16, 4585/48, 5/2, 
  -132203/1296, -132203/1296, -1152671/2592, 1064003/1296, 1089311/864, 
  154189/288, 339233/648, 15389/32, 1118879/864, -1033439/2592, -344417/648, 
  -119495/2592, -2174543/2592, -296497/1944, 0, -3/2, 23826029/3888, 
  304193/648, -4058611655/559872, 308161/1944, 1291775/2592, 
  -102891919/279936, 6, -20290181/279936, -13263379/7776, -47911261/93312, 
  -1140590797/2239488, -479441/2592, 447820069/186624, -13263379/7776, 
  -41215237/93312, -1185677773/2239488, -479441/2592, 450820453/186624, 
  -5918059/3888, 64277119/93312, 492539555/746496, -146225/2592, 
  1143115483/1119744, 301428259/69984, -608933437/373248, -184165/48, 
  2503580509/373248, -1149683147/139968, 624843521/746496, 17067085/2916, 
  -13795274273/746496, -1761269/1458, 1366/9, -1403/36, -835/9, -1093/4, 
  -58888649/46656, 517238629/139968, 1543163315/746496, -64344641/23328, 
  2319842461/746496, -35263355/46656, 53653051/17496, -607347133/373248, 
  -60565505/23328, 2684492629/373248, 23323039/15552, 97667623/139968, 
  -474053917/746496, -5603315/23328, 3135223789/746496, -239639/648, -201/8, 
  -153307/432, 693/2, -16235/144, -427097/2592, 3223/48, 29425/432, -1223/4, 
  2971/48, -723041/648, 94543/324, 319345/216, 420803/1296, 0, -230269/432, 
  2491525/7776, 484991/62208, -5354795/11664, -6210857/7776, -90490151/62208, 
  -52195/972, -1449707/10368, 10539215/7776, 16215055/10368, -957457/2592, 
  3190475/5184, 13353431/62208, -3591131/5184, 1143995/3456, 4994887/15552, 
  0, -13890661/7776, -14572619/31104, -9268945/7776, -523011857/2239488, 
  145748003/746496, 0, -544051/2592, -1382263/10368, 0, 5984081/3888, 
  711887527/279936, 5478469/27648, 2890807/10368, -147206581/373248, 
  -524143/7776, -45999515/62208, 510768997/139968, 2602055/1728, 
  8506548073/2239488, -608933437/746496, 12299101/31104, -467013683/139968, 
  -3869793901/746496, 923/6, -10970003/7776, -843945337/2239488, 
  1435776637/373248, 5200689997/746496, -4176738013/746496, 433033/1296, 
  -1624111/11664, 2237215/23328, -342287/648, 240889/1296, -169849/864, 
  -894679/972, -5376907/23328, -23095/81, 441217/972, 2579425/972, 
  -4715167/62208, -9664345/3888, -2212919/3456, 37621243/15552, 3/2, 
  31487/324, 2592653/23328, -721/54, -41875/216, 166/27, 54611/2592, 
  -26139509/23328, 38917/216, 2767759/1944, -15545729/7776, -125447689/62208, 
  6003253/3888, 19096825/10368, -58621979/15552, -2146249/486, 11789425/3888, 
  1103207/1296, -1040567/1296, -1224671/5184, -1150943/5184, 1147487/1728, 
  -1089023/1728, -1005503/1728, 895343/2592, 1038623/2592, -2359/24, 
  1071815/1944, -1397435/3888, -1000697/1944, 152455/486, -8069711/23328, 
  4527541/1728, -765086/243, 4038143/15552, -3993757/1944, 172809911/279936, 
  64951967/373248, -1915/3, -67428263/373248, 3300517/1296, -13687913/93312, 
  -1884399497/1119744, 14861/1296, 139990679/186624, 28209007/11664, 
  -149598361/69984, 537852589/373248, 21321371/11664, -2365706317/373248, 
  57037399/15552, 433310569/279936, -17396891/7776, -6710719/5832, 
  4522795105/1119744, 4763563/5184, -2811355/15552, 8541617/7776}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, -5, -1, 0, 
  0, -4, 5, -8, -4, 0, -4, 0, 2/3, 5/2, -2, 1, 1, -1, -1/2, 4, -7/3, 0, -4, 
  -4/3, 8/3, 5/6, 2/3, 0, 2, 9/2, 0, 4/9, -139/9, 2/3, 1/6, 64/9, 1/3, -1/3, 
  7/6, -1, 25/12, 5/6, -5/4, 5/9, -20/9, 61/18, 10/3, 1, -49/12, -38/9, 2, 
  2/9, -1, -1/3, -1/9, 0, 25/12, -11/18, -5/4, 0, 8/27, 2, -2/9, 121/27, 
  59/6, 0, 10/9, -535/27, 0, -2/3, -5/3, -29/12, -29/27, -97/27, 202/27, 
  7/18, 83/18, 23/54, -17/18, 0, -16, 0, 0, 5, -8, -4, 0, 2, 3, 0, 5, 1, 0, 
  -10, 0, 0, 2, -18, 0, 0, 18, 23, -9, -69/4, 0, 0, 0, -3, 2, 0, -37/6, 1, 7, 
  -6, 55/4, 0, -12, 0, -4, 0, 2/3, 3, -5, 1, -10, -102, -169, 458, 8, 49, 
  157/2, -258, 13/3, -2/3, -10/3, -1, 4/3, 23/6, -2, 0, -61/6, 133/6, 7/6, 0, 
  2/3, -1, 4/3, 0, -1/6, 37/4, 0, 10/3, 2, -7/3, 16, 15/2, -2/3, 4/3, -193/3, 
  2/3, -2/3, -29/6, -29/2, 51/2, 16/3, -1/3, 169/3, -3, 280/3, -293/6, 
  -143/2, -2383/9, -919/9, 991/18, 4106/9, 5/9, 361/6, 778/9, -5333/18, 
  49/18, 1/3, -5/6, -20/3, -25/12, 11/6, 5/4, -2/9, 139/9, -137/9, -2/9, 
  33/2, -169/4, 123/2, -33, -15/2, -89/6, 469/12, -215/3, -65/4, 0, 19/2, 
  -109/2, -125/12, -27, 64, 679/8, -259/2, -379/6, -36, -177/2, 214, -43/3, 
  1, 119/6, -101/4, 193/3, -55/2, 711/8, 90, 0, 8, -2, -3/2, -7, 3, -2, 3/2, 
  1, 1, 3/2, -2, -1, -5, -3, -4, 0, -1, 9, 6, -5/2, 9/2, -4, -7, -2, 10, 5, 
  2, -11/12, 35/6, 18, -7/2, -143/8, 11/2, 84749/864, 35/6, 1267/54, -9/2, 
  6515/216, 99661/576, -53/4, -8743/432, 43/6, 28885/432, 121/27, -1/3, 
  -1523/48, 7/2, 701/48, 34415/288, -9/2, 2561/144, -13/2, 4693/144, 
  -108557/1728, -5/2, 323/36, 1/2, -1591/72, 0, -3, -241/54, 0, 313/54, 
  -99085/1728, 59/6, 13279/432, -65/12, -13495/432, -284935/1728, -3/4, 
  -193/16, -17/12, -2525/48, -625147/3888, -5631815/10368, -33311/288, 
  1309603/3888, 784417/1728, -29311/162, -10213/288, 593107/15552, -1/3, 
  128051/1728, -1523/48, 269/36, 188939/2592, -20/3, 3241/72, -4, 781/48, 
  7249/144, 1283/72, -2767/48, 10309/576, -817075/31104, 653011/15552, 
  -13705/216, 2068103/10368, 34679/288, -39559/2592, -1371163/15552, 
  -116065/1728, 28447/648, -453761/13824, -11687/256, -11709/128, 10309/576, 
  -2019919/31104, 575251/15552, -214741/1728, 13135/216, -85/16, -39559/2592, 
  -1250203/15552, -7745/108, 28447/648, 421207/2592, -1771711/41472, 
  -274619/1296, 182431/6912, 2528719/10368, 0, -24463/864, 730771/15552, 0, 
  70103/432, 0, -37951/1728, -1395355/15552, -77399/432, 29527/648, 
  -167351/2592, 187265/41472, 252047/2592, 19663/6912, -696941/10368, 
  50969/1728, -3404735/93312, 653011/15552, 0, -285871/5184, 19893029/93312, 
  0, 412415/2592, 0, -9766/243, -1386715/15552, 781/864, -21393755/93312, 
  -444095/2592, 0, 30895/648, 96113/15552, 0, -37285/3888, 7663459/373248, 
  -23487691/373248, -441671/7776, -8548003/62208, 252047/3888, 7642205/62208, 
  -2659217/186624, -17627/128, 974383/15552, 481121/31104, -2753855/62208, 
  -1705129/15552, 3180839/10368, 696941/15552, 0, 12, 0, -275915/5184, 0, 
  -3/2, -284411/432, 280523/432, 280739/864, -277283/864, -283331/864, 
  282899/864, -282899/864, 19/2, 3, 0, 0, 0, 275987/1728, 289811/1728, 
  307091/1728, -307955/1728, -297587/1728, 280307/1728, 0, -290675/1728, 
  -297587/1728, 1434655/2592, -283907/864, -291467/2592, 104/3, -279803/648, 
  281315/1296, 283475/2592, -35/3, -6, -1, 5/6, 277319/1296, -288875/2592, 
  -8, 5, -61/2, -3/2, -10, 3/2, 9/2, 12, -1, 10, 69/2, 11/4, 157/16, 63/16, 
  0, -149/8, -87/8, 15/4, -9/2, 173/16, -393/16, 5/4, 19763/864, 19763/864, 
  284339/1728, -281243/864, -278483/576, -11867/64, -83117/432, -11403/64, 
  -285875/576, 278147/1728, 84413/432, 24875/1728, 559283/1728, 87277/1296, 
  0, -1/2, -4553477/2592, -102773/432, 1071945803/373248, -95053/1296, 
  -330419/1728, 27228787/186624, 6, 4817297/186624, 2436355/5184, 
  12036193/62208, 289112185/1492992, 159941/1728, -116554129/124416, 
  2436355/5184, 9630505/62208, 273722617/1492992, 159941/1728, 
  -115043569/124416, 1256443/2592, -15847771/62208, -114302519/497664, 
  47333/1728, -325194703/746496, -77821795/46656, 143018281/248832, 
  142939/96, -587856073/248832, 308702039/93312, -110724125/497664, 
  -4823029/1944, 3164868029/497664, 182953/486, -65/3, 101/8, 23/3, 939/8, 
  13585121/31104, -130374937/93312, -392883527/497664, 17610797/15552, 
  -493061641/497664, 9115211/31104, -7203053/5832, 142645033/248832, 
  16423661/15552, -622653697/248832, -5726311/10368, -31492471/93312, 
  108878857/497664, 2259335/15552, -740009305/497664, 63821/432, 137/6, 
  16205/144, -79, 2189/48, 105965/1728, -97/12, -1007/36, 815/12, 53/72, 
  97045/216, -88483/864, -90541/144, -78055/432, 0, 80605/288, -613045/5184, 
  -518171/41472, 1524383/7776, 1588493/5184, 24901283/41472, 9053/1296, 
  566351/6912, -2754083/5184, -4265827/6912, 259069/1728, -625001/3456, 
  -3731411/41472, 779129/3456, -22919/256, -682609/10368, 0, 2606365/5184, 
  3334919/20736, 1935937/5184, 105248909/1492992, -23396663/497664, 0, 
  54533/576, 402331/6912, 0, -1129097/2592, -183124183/186624, 
  -5852755/55296, -874651/6912, 38595601/248832, 55495/5184, 12321431/41472, 
  -129643993/93312, -657943/1152, -2202572965/1492992, 143018281/497664, 
  -2252569/20736, 119904407/93312, 969047257/497664, -445/6, 292387/648, 
  500293237/1492992, -331825129/248832, -1306803001/497664, 970633033/497664, 
  -126451/864, 11803/486, -629683/15552, 39823/192, -46235/864, 14845/288, 
  223357/648, 1664923/15552, 93869/864, -79279/648, -4595681/5184, 
  467755/41472, 2539765/2592, 474547/2304, -8788555/10368, -1/3, -36239/864, 
  93787/15552, 25/12, 45109/864, -5/4, -18911/1728, 6103805/15552, 
  -25987/864, -775759/1296, 1667287/2592, 33029221/41472, -2975339/5184, 
  -5014681/6912, 13261223/10368, 139402/81, -3062713/2592, -285491/864, 
  271955/864, 304211/3456, 265043/3456, -272339/1152, 281843/1152, 
  234611/1152, -244595/1728, -254387/1728, 103/8, -277859/1296, 344603/2592, 
  250319/1296, -281909/2592, 184223/15552, -1123525/1152, 392827/324, 
  -2723471/10368, 714721/1296, -22628699/186624, -15484643/248832, 859/3, 
  24053003/248832, -212701/288, 1723805/62208, 458692565/746496, -67925/864, 
  -26629907/124416, -3239147/3888, 43038931/46656, -127586377/248832, 
  -5999291/7776, 556027657/248832, -10861525/10368, -134217073/186624, 
  2169331/2592, 7294267/15552, -966601285/746496, -1340191/3456, 
  789679/10368, -3688411/10368}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
  0, 0, 0, 0, 0, 0, -5, 5, -2, 0, 0, 32/3, -5, 14/3, 14/3, 0, 4/3, 0, -16/9, 
  -5/2, 5/3, -1/3, -7, -2, 17/6, 1/3, 35/9, 0, 32/3, 8/3, -56/9, 1/9, -8/9, 
  0, -94/27, -403/54, 0, -112/27, 628/27, -8/9, 181/27, -352/27, 77/54, 1, 
  -43/54, 47/27, -929/108, -25/6, 367/108, -197/27, 101/27, -62/27, -22/9, 
  10/9, 77/12, 71/27, -401/54, -2/3, 169/81, 1, 265/81, -28/81, -929/108, 
  -821/162, 367/108, 0, 16/81, -94/27, -26/27, -73/27, -866/81, 0, -136/27, 
  2080/81, 0, 122/81, 26/3, 2155/324, 295/81, 362/81, -1216/81, -265/162, 
  -2095/162, 13/9, 467/162, 0, 24, 0, 0, -5, 16, -4, 0, 2, -7, 0, -5, -9, 0, 
  10, 0, 0, -2, 19, 0, 0, -19, -16/3, 7, 199/12, 0, 0, -8, 25/3, 2, 0, 
  -85/18, 1, -19/3, 4/3, -173/12, 0, 32, 0, 4/3, 0, -16/9, -1, 5, -7/3, 10/3, 
  174, 799/3, -2296/3, 52, -93, -249/2, 1306/3, 451/18, -2, -10/3, -3, -4/3, 
  -107/9, 62/9, 137/18, 184/9, -41/6, -151/18, 0, -2, 25/9, -32/9, 0, -97/18, 
  -73/6, 0, -18, -22/9, 19, -17/54, -367/18, 2, -64/9, 4073/54, -8/9, 2, 
  -190/27, 959/54, -2411/54, 65/27, 9, -1637/27, 85/27, -2471/27, 3049/54, 
  6677/54, 11440/27, 4835/27, -3623/54, -20552/27, -2729/108, -5359/54, 
  -3248/27, 9335/18, -2021/108, -1, 61/54, 356/27, 929/108, 437/54, -367/108, 
  62/27, -563/27, 455/54, -40/27, 7/2, 33/4, -83/2, 272/3, 15/2, -38/9, 
  -1081/12, 2041/18, 31/2, 16, -103/18, 329/6, 1/2, 13, -838/9, -4577/72, 
  1955/6, 997/18, 2251/18, 269/2, -7573/18, -239/6, -31, -1733/18, 601/36, 
  -535/9, 259/2, -4151/24, -260, 0, -64/3, -1, 0, 61/3, -3, 2, -5/6, 2, 2, 
  1/2, 3/2, 1/2, 15, -37/3, 40/3, -3, -1/2, -7/2, 6, -73/6, -23/6, 1/2, 61/3, 
  2, -70/3, -13, -27/4, 31/12, -57/2, -278/3, 14/3, 905/72, 7/6, 
  -215377/2592, 31/3, -575/162, -3/2, -17815/648, -183665/1728, 575/12, 
  -27169/1296, -65/6, 331/1296, 181/324, 1, -2545/144, 131/6, 3479/144, 
  -50947/864, 187/6, -1285/432, 9/2, -13601/432, 181633/5184, -7/2, 791/108, 
  167/6, 107/216, 0, -2, -2125/162, 0, 1873/162, 183233/5184, -239/12, 
  15721/1296, 5/12, -18529/1296, 589187/5184, -37/2, 1711/144, 53/12, 
  3025/144, 1259423/11664, 11447491/31104, 15697/288, -2517023/11664, 
  -1339861/5184, 73991/486, 20969/864, -327023/46656, 1, -90101/1728, 
  -1297/144, 881/108, -183175/7776, 46, 6235/216, -34/3, 2471/144, -2647/144, 
  -13375/216, 3073/432, -21833/1728, 788063/93312, -1453823/46656, 33709/648, 
  -3164035/31104, -16897/288, 39011/7776, 2600615/46656, 41461/5184, 
  -71507/1944, 144613/41472, 374827/6912, 50819/1152, -21833/1728, 
  2235179/93312, -1559231/46656, 15931/192, -4943/72, 895/144, 39011/7776, 
  3070631/46656, 5477/108, -71507/1944, -1663691/7776, 2404187/124416, 
  690439/3888, -520427/20736, -6169595/31104, 0, 45347/2592, -1925999/46656, 
  0, -41281/432, 0, 72107/5184, 2396711/46656, 39989/432, -71291/1944, 
  556363/7776, -498277/124416, -667435/7776, 124261/20736, 2274865/31104, 
  -103981/5184, 2486299/279936, -1453823/46656, 0, 668443/15552, 
  -32460505/279936, 0, -758843/7776, 0, 12157/1458, 2681831/46656, 
  -43025/2592, 22015111/279936, 727811/7776, 0, -59699/1944, 639515/46656, 0, 
  179933/11664, 6564337/1119744, 34285079/1119744, 1162867/23328, 
  13352399/186624, -667435/11664, -32689729/186624, 6681445/559872, 
  4261223/31104, -2420219/46656, -3123925/93312, 6568699/186624, 
  4944605/46656, -7172467/31104, -2274865/46656, 0, -18, 0, 697519/15552, 0, 
  -1/6, 724879/1296, -719263/1296, -723799/2592, 675415/2592, 748855/2592, 
  -730279/2592, 726823/2592, -53/6, 3, 1, 1, -1, -717319/5184, -696583/5184, 
  -831367/5184, 811495/5184, 842599/5184, -747559/5184, 0, 776935/5184, 
  766567/5184, -3728003/7776, 725815/2592, 775279/7776, -670/9, 722791/1944, 
  -745255/3888, -692551/7776, 427/9, 22/3, 7/3, 41/18, -727219/3888, 
  751951/7776, 26/3, -4, 30, 5/6, 10, -5/6, -35/6, -12, -2, -10, -35, -19/12, 
  -297/16, 295/48, 0, 599/24, 15/8, -29/12, -7/6, -289/16, 1759/48, 15/4, 
  -132799/2592, -132799/2592, -777799/5184, 712351/2592, 696871/1728, 
  111709/576, 230599/1296, 102413/576, 762631/1728, -665047/5184, 
  -238375/1296, -119911/5184, -1463407/5184, -155585/3888, 0, -3/2, 
  19133857/7776, 134617/1296, -2655603487/1119744, 167249/3888, 909991/5184, 
  -67454567/559872, 6, -18320653/559872, -10847687/15552, -32704829/186624, 
  -776966549/4478976, -226345/5184, 296771597/373248, -10847687/15552, 
  -29810597/186624, -852988181/4478976, -226345/5184, 303085997/373248, 
  -4500911/7776, 44060591/186624, 351413851/1492992, -56713/5184, 
  706725395/2239488, 198211127/139968, -453306245/746496, -117637/96, 
  1819008677/746496, -725023195/279936, 625980841/1492992, 9660497/5832, 
  -10191941065/1492992, -336796/729, 781/9, -1135/72, -493/9, -2083/24, 
  -42613357/93312, 344336837/279936, 1005026347/1492992, -38386657/46656, 
  1832357861/1492992, -23322079/93312, 2122100/2187, -451626629/746496, 
  -36372673/46656, 1965214589/746496, 16205675/31104, 49583243/279936, 
  -360818405/1492992, -1029043/46656, 2257801205/1492992, -146917/1296, 76/3, 
  -61777/432, 173, -521/16, -364801/5184, 121/6, 3043/108, -529/4, 2155/72, 
  -239057/648, 272423/2592, 199193/432, 110051/1296, 0, -131849/864, 
  1702217/15552, -624089/124416, -3283951/23328, -4142065/15552, 
  -56734735/124416, -108079/3888, -505243/20736, 6971191/15552, 
  10439519/20736, -543449/5184, 2557885/10368, 7846399/124416, 
  -2744749/10368, 1040107/6912, 4771205/31104, 0, -11225129/15552, 
  -10603627/62208, -7152629/15552, -449834617/4478976, 126021979/1492992, 0, 
  -313979/5184, -643127/20736, 0, 4869817/7776, 482555423/559872, 
  2661677/55296, 1465655/20736, -98943629/746496, -484355/15552, 
  -29523955/124416, 337976069/279936, 1768891/3456, 5512816145/4478976, 
  -453306245/1492992, 9927149/62208, -297289291/279936, -2606475125/1492992, 
  41, -2085589/3888, 309610591/4478976, 1068732485/746496, 
  3460090709/1492992, -3066781733/1492992, 235427/2592, -246919/2916, 
  1380383/46656, -878059/5184, 207071/2592, -78265/864, -617135/1944, 
  -1723655/46656, -208049/2592, 404651/1944, 15235357/15552, -5482871/124416, 
  -6298265/7776, -1798159/6912, 26895143/31104, 1, 72859/2592, 2668969/46656, 
  -929/108, -63487/864, 367/108, 43531/5184, -17654065/46656, 62965/864, 
  1705523/3888, -5903561/7776, -80893433/124416, 8501143/15552, 
  11908205/20736, -43735603/31104, -345857/243, 7546565/7776, 729415/2592, 
  -688807/2592, -867367/10368, -885799/10368, 862759/3456, -719335/3456, 
  -627175/3456, 397927/5184, 664615/5184, -881/24, 711127/3888, -911359/7776, 
  -671923/3888, 812053/7776, -10511443/46656, 3030689/3456, -492031/486, 
  -984797/31104, -3338213/3888, 151737583/559872, 58967383/746496, -179, 
  -35987935/746496, 2600327/2592, -14284777/186624, -1311103105/2239488, 
  -103847/2592, 106667719/373248, 10105651/11664, -86935943/139968, 
  398935589/746496, 12353287/23328, -1724773733/746496, 46068809/31104, 
  244628285/559872, -6176735/7776, -14147375/46656, 3536308241/2239488, 
  2578883/10368, 124573/31104, 13846691/31104}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1/4, -1/4, 0, 
  0, 0, -7/6, 1/4, 1/12, -5/12, 0, 1/4, 0, 7/36, -5/8, -7/24, -1/6, 0, 0, 
  3/4, 7/24, -25/72, 0, -7/6, 1/6, 2/9, -43/144, 5/36, 0, 71/54, -103/108, 0, 
  -19/54, 133/216, 5/36, 299/432, 83/54, -175/432, 0, 145/216, -71/108, 
  -37/432, -1, 233/432, -10/27, -25/216, 443/432, 4/9, 31/72, -55/48, 
  -145/216, 445/432, 0, -145/324, 0, 59/81, 47/162, -37/432, -35/81, 233/432, 
  0, 20/81, 71/54, -10/27, -37/54, -1615/1296, 0, -23/108, 631/648, 0, 
  -91/162, -29/72, -2221/1296, 89/324, 821/648, 481/324, 215/324, 1117/648, 
  -125/144, -89/162, 0, -1, 0, 1/2, -1/4, -1/2, 0, 0, 0, 1/4, 0, 1/4, 1/4, 
  1/3, -1/6, 0, 0, 0, 1/4, 0, -1, 1/4, -167/48, 1, 95/48, 0, 0, 0, -1/12, 0, 
  0, 2/9, 0, 1/3, -7/12, -13/48, -1, -13/6, 8/3, 19/36, -11/6, -47/36, -1/3, 
  61/36, 5/4, 5/3, 125/12, 283/6, -21/2, -5/4, -191/24, -53/2, 71/24, -41/9, 
  -1/6, 7/12, 1/3, 0, 143/144, -2/9, 25/72, 29/36, -15/4, -7/144, 0, 0, 
  -1/36, 7/18, 0, -125/72, 61/96, 0, 0, 13/9, 0, 865/432, -67/24, 0, 25/9, 
  305/432, -61/36, 0, 7/432, 781/216, 179/54, -241/216, -3/16, -2887/432, 
  -133/108, -12421/432, 637/432, 4459/216, 1441/216, 991/108, 16369/432, 
  -557/54, 29/432, -4069/432, -16567/432, 119/72, 1919/432, 0, -145/216, 
  -32/27, 37/432, 121/216, -233/432, 10/27, 163/54, 5/432, -173/108, -2, 
  331/48, 13/8, -55/6, -1/24, -1211/144, -1855/144, 371/36, 1033/144, 0, 
  145/72, 53/6, -61/32, -3/16, -1283/144, -9301/288, -61/24, 1181/288, 
  623/72, 143/6, -283/36, -25/12, 0, 211/72, 1441/144, -85/18, -101/48, 
  -673/96, 133/6, 0, -1/6, 0, 0, -7/12, 1/4, 1/4, -17/48, 1/36, 1/36, 0, 
  -1/72, -1/72, -17/8, 5/24, 19/24, -1/9, 0, 1/18, 0, 41/48, 1/48, 1/72, 
  -7/12, 1/4, 5/6, 1/4, -373/1152, -13/72, -17/6, 2/3, 77/576, 275/96, 1/3, 
  -4193/384, -109/192, -533/144, -1/4, -1133/288, -45769/2304, 1/64, 
  2033/576, 61/72, -6443/576, -13/36, 7/12, 6859/1152, 5/12, -3319/1152, 
  -15683/1152, -1/24, -3917/1152, 1, -4831/1152, 16099/2304, 15/16, 
  -1903/1152, -17/24, 4987/1152, 0, 1/36, 11/12, 0, -49/36, 15251/2304, 
  443/1152, -2845/576, -19/72, 3121/576, 43097/2304, 173/384, 263/192, 
  -19/72, 4847/576, 44401/2592, 2495555/41472, 46165/3456, -179353/5184, 
  -1095799/20736, 11269/648, 1547/384, -101837/20736, 7/12, -165685/20736, 
  7531/1152, -1495/1152, -83519/10368, -5/24, -439/48, 7/12, -4087/1152, 
  -4849/864, -293/144, 24049/3456, -1547/768, 139649/41472, -82061/20736, 
  8717/1296, -955223/41472, -48613/3456, 18619/10368, 171397/20736, 
  171751/20736, -11827/2592, 208405/55296, 118505/27648, 49289/4608, 
  -1547/768, 322853/41472, -95693/20736, 286091/20736, -48107/10368, 131/192, 
  18619/10368, 175045/20736, 5039/648, -11827/2592, -162355/10368, 
  113267/18432, 123263/5184, -143971/27648, -1139899/41472, 0, 859/288, 
  -79367/20736, 0, -24661/1296, 0, 5569/2304, 177853/20736, 110065/5184, 
  -11467/2592, 74327/10368, -50135/55296, -109475/10368, 46381/27648, 
  293537/41472, -7735/2304, 663325/124416, -82061/20736, 0, 332131/62208, 
  -3130207/124416, 0, -34583/1944, 0, 8231/1944, 157765/20736, 101/1152, 
  3565877/124416, 615725/31104, 0, -11371/2592, -51245/62208, 0, 16279/15552, 
  -1485845/497664, 3369869/497664, 195355/31104, 3794975/248832, 
  -109475/15552, -2807273/248832, 333989/82944, 1926301/124416, 
  -598483/62208, -129461/124416, 457889/82944, 731437/62208, -160979/4608, 
  -293537/62208, 0, 3/4, 0, 42373/6912, 0, 1/36, 42709/576, -14183/192, 
  -42973/1152, 46477/1152, 40909/1152, -14327/384, 42709/1152, 5/36, 0, 1/36, 
  1/36, -1/36, -42709/2304, -42965/2304, -13511/768, 40021/2304, 40021/2304, 
  -41653/2304, 0, 41621/2304, 41749/2304, -214169/3456, 4765/128, 42757/3456, 
  9/8, 42469/864, -42949/1728, -41989/3456, -133/48, 31/144, 103/144, 2/9, 
  -42661/1728, 42565/3456, 35/24, -2/9, 5/12, 17/48, 5/36, -17/48, -83/144, 
  -7/18, -1/36, -5/36, -5/18, -37/576, -257/768, 127/2304, 0, 1555/1152, 
  -101/384, -241/576, 457/288, -257/768, -769/2304, -1/3, 833/3456, 833/3456, 
  -41461/2304, 42013/1152, 45061/768, 125021/6912, 11837/576, 130733/6912, 
  127783/2304, -44485/2304, -11693/576, -3247/6912, -248951/6912, -1691/192, 
  0, -1/36, 1736689/10368, 102049/1728, -137221181/497664, 5089/576, 
  37717/2304, -4054885/248832, 0, -334775/248832, -304397/6912, 
  -1755535/82944, -34759135/1990656, -134113/6912, 4908493/55296, 
  -304397/6912, -1389127/82944, -32288095/1990656, -134113/6912, 
  4816813/55296, -503351/10368, 2355493/82944, 14378993/663552, -67969/6912, 
  40850137/995328, 11658457/62208, -15367087/331776, -186661/1152, 
  78538895/331776, -48202169/124416, -12733925/663552, 725263/2592, 
  -416913659/663552, -2972/81, -149/48, -553/288, 317/72, -3791/288, 
  -1907519/41472, 19520263/124416, 21082955/221184, -2640083/20736, 
  19958213/221184, -1361365/41472, 2208433/15552, -15360175/331776, 
  -2418323/20736, 82713175/331776, 2445643/41472, 5527957/124416, 
  -9914575/663552, -379625/20736, 33684565/221184, -4217/192, -7793/576, 
  -6887/384, 6, -29137/3456, -13571/2304, 1053/128, 12023/1152, -121/72, 
  -10541/3456, -70333/1728, 18085/1728, 13315/192, 33317/1728, 0, 
  -39911/1152, 273961/20736, 108301/55296, -239581/10368, -682169/20736, 
  -11601359/165888, -3185/5184, -266195/27648, 1271423/20736, 623165/9216, 
  -126193/6912, 79615/4608, 239239/18432, -295661/13824, 216073/27648, 
  133477/41472, 0, -332243/6912, -1375835/82944, -251351/6912, 
  -2560235/1990656, 593915/221184, 0, -426569/20736, -356911/27648, 0, 
  416905/10368, 22797097/248832, 4884893/663552, 646447/27648, 
  -3447367/331776, -23347/20736, -629659/18432, 19490887/124416, 285035/4608, 
  347526547/1990656, -15367087/663552, 796277/82944, -17838449/124416, 
  -136803839/663552, 409/36, -232381/5184, -117074563/1990656, 
  13666789/110592, 185139743/663552, -43308805/221184, 22805/1152, 
  36997/10368, 94829/20736, -178201/10368, 35879/10368, -63029/6912, 
  -104113/2592, -439081/20736, -109147/5184, 26959/2592, 1003465/10368, 
  295283/55296, -1026991/10368, -153487/9216, 3739729/41472, 0, 3383/576, 
  -33143/20736, -37/432, -145681/20736, 233/432, 8867/6912, -734819/20736, 
  22187/10368, 341461/5184, -2631007/41472, -1636277/18432, 135775/2592, 
  703435/9216, -5268035/41472, -11005/54, 491591/3456, 14167/384, -4701/128, 
  -12871/1536, -30677/4608, 91007/4608, -126943/4608, -44021/1536, 
  57397/2304, 44021/2304, -289/1152, 42229/1728, -42949/3456, -19595/864, 
  81275/6912, 444091/20736, 535369/4608, -16897/108, 1405747/41472, 
  -257597/5184, 1958237/248832, -109147/331776, -253/6, -3300413/331776, 
  787561/10368, 204973/82944, -56251283/995328, 63937/3456, 6610717/165888, 
  230647/2592, -7383199/62208, 12290527/331776, 919733/10368, 
  -72268511/331776, 676871/6912, 23914153/248832, -32395/432, -63895/1296, 
  125326687/995328, 25249/512, -156473/13824, 473455/27648}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1/4, -3/4, 0, 
  0, 0, -1/6, 1/4, -5/12, -5/12, 0, -1/12, 0, 7/36, 1/8, -1/24, -1/6, -1/4, 
  0, 1/6, 1/24, -25/72, 0, -1/6, -1/6, 5/9, -13/144, -1/36, 0, 10/27, 25/216, 
  0, 35/54, -137/216, -1/36, 5/432, 19/27, -127/432, 1/24, 13/54, -5/27, 
  -17/216, -1/4, 19/216, 5/108, -79/216, 65/432, 1/9, 13/72, -7/12, -37/216, 
  199/432, -1/36, -17/162, 1/24, 77/324, -13/162, -17/216, -223/648, 19/216, 
  0, -16/81, 10/27, 29/108, 47/108, 251/1296, 0, 67/108, -575/648, 0, -7/162, 
  -1/24, -335/648, -101/162, 17/648, 355/324, 121/648, 421/648, -65/432, 
  -143/648, 0, -1, 0, 1/6, 1/4, -5/6, 0, 0, 0, 1/4, 0, 1/4, 1/4, 1, -1/2, 0, 
  0, 0, 1/4, 0, -1, 1/4, -3/16, -2/3, -31/48, 0, 0, -1/4, 1/6, 0, 0, 1/18, 0, 
  1/3, -1/12, 29/48, 0, -1/2, 3, 5/12, -3/2, -47/36, -1/2, -1/4, 7/12, 5/3, 
  38/3, 137/24, 10, 15/4, -25/3, -47/16, -139/24, -61/72, -1/18, -1/36, 1/9, 
  -1/3, 25/144, 0, -5/72, -31/36, 7/36, 55/144, 0, -1/12, 1/18, 1/18, 0, 
  -11/72, 67/96, 0, -2/3, 11/18, 2/3, 1105/432, -19/36, 1/12, 65/18, 
  -1315/432, -55/36, 1/12, -275/432, 41/27, 305/216, -175/216, 23/48, 
  -1145/216, -28/27, 463/864, 1273/432, 541/216, -1403/216, 1381/108, 
  4591/432, 257/27, -347/216, -1673/216, -5045/864, -9, 427/216, -1/24, 
  -13/54, -7/54, 17/216, 13/54, -19/216, -23/108, 71/108, -79/432, -47/108, 
  -1/2, 23/16, -11/4, -125/48, -3/8, -425/36, -1289/288, 133/72, 121/36, 1/2, 
  47/36, -5/6, -73/96, 23/16, -301/72, -2455/288, -61/6, 671/288, 857/72, 
  39/16, 67/72, -31/8, -1, -14/9, 157/72, 97/36, 145/48, -833/48, 117/8, 0, 
  -1/6, 0, 0, -7/12, 1/4, 1/4, -17/48, 1/36, 1/36, 0, -1/72, -1/72, -5/8, 
  -31/24, 19/24, -1/9, 0, 1/18, 0, 5/48, 37/48, 1/72, -7/12, 1/4, 5/6, 1/4, 
  -679/1152, -1/72, -79/24, -17/6, -121/576, 1, 1/12, -2585/576, 25/192, 
  1/16, 0, -137/48, -5819/1152, 111/64, -109/288, 13/72, -809/288, 23/48, 
  11/12, -329/1152, 19/24, 1721/1152, -1429/576, 7/12, -29/1152, 7/8, 
  -3139/1152, 1393/1152, 11/16, -253/1152, 11/12, 1621/1152, 0, 1/36, -49/72, 
  0, 41/72, 1937/1152, 41/1152, 5/96, -7/72, 5/96, 6515/1152, -217/384, 
  13/96, -7/72, 1123/288, 25213/5184, 361933/20736, 5531/1728, -3445/288, 
  -153437/10368, 704/81, 241/192, -2807/10368, 11/12, -33647/10368, 343/1152, 
  155/1152, -4645/5184, 11/24, 35/32, 1/12, 953/1152, -1331/1728, -1627/288, 
  2509/3456, -83/128, 9773/20736, -10559/10368, 3419/1296, -89755/20736, 
  -5819/1728, 893/5184, 1093/384, 13253/10368, -2825/1296, -18733/27648, 
  31795/13824, 5857/2304, -83/128, 27641/20736, -12479/10368, 42049/10368, 
  -27221/10368, -1/96, 893/5184, 8717/3456, 4261/1296, -2825/1296, 
  -60353/5184, 84415/27648, 28681/2592, -48401/13824, -243107/20736, 0, 
  317/384, -7207/5184, 0, -26335/5184, 0, 145/384, 9761/3456, 12101/2592, 
  -2861/1296, 25381/5184, -10915/9216, -25297/5184, 42623/13824, 83497/20736, 
  -133/128, 51397/62208, -10559/10368, 0, 37843/15552, -333391/62208, 0, 
  -154631/31104, 0, 2113/3888, 9197/3456, -757/576, 96341/20736, 77815/15552, 
  0, -3245/1296, 20753/31104, 0, 9329/7776, -24515/248832, 33371/248832, 
  48317/15552, 411961/124416, -25297/7776, -1209427/124416, 523061/124416, 
  520079/62208, -142145/31104, -112249/62208, 3581/1536, 184685/31104, 
  -91291/6912, -83497/31104, 0, 3/4, 0, 9631/3456, 0, 1/36, 9751/288, 
  -9671/288, -9883/576, 11059/576, 9139/576, -9791/576, 9607/576, 11/36, 0, 
  1/36, 1/36, -1/36, -9751/1152, -3293/384, -8663/1152, 9559/1152, 9559/1152, 
  -10375/1152, 0, 1023/128, 9271/1152, -48875/1728, 9743/576, 9823/1728, 
  -13/8, 9679/432, -9775/864, -9583/1728, -49/48, -17/144, 199/144, 1/18, 
  -9703/864, 9727/1728, 35/24, -2/9, 5/12, 17/48, 5/36, -17/48, -83/144, 
  -7/18, -1/36, -5/36, -5/18, -37/576, -257/768, 127/2304, 0, 1555/1152, 
  -101/384, -241/576, 457/288, -257/768, -769/2304, -1/9, -605/1728, 
  -605/1728, -9575/1152, 3161/192, 32077/1152, 31087/3456, 2965/288, 
  32887/3456, 28417/1152, -10351/1152, -2957/288, -581/3456, -52753/3456, 
  -1465/864, 0, -1/36, 704999/5184, 26675/864, -107925/1024, 1705/864, 
  8119/1152, -318853/41472, 0, -36503/41472, -133979/3456, -150539/13824, 
  -2569879/331776, -33419/3456, 2918797/82944, -133979/3456, -15403/1536, 
  -2846359/331776, -33419/3456, 2981005/82944, -162733/5184, 208081/13824, 
  1364153/110592, -19787/3456, 604139/55296, 805543/10368, -1043431/55296, 
  -13901/192, 19859093/165888, -3079469/20736, -5596391/331776, 45601/432, 
  -12366449/36864, -2611/108, -29/48, 55/144, 131/72, -847/144, -178759/6912, 
  1454611/20736, 16038011/331776, -176939/3456, 17930965/331776, 
  -308119/20736, 272621/5184, -1042279/55296, -163451/3456, 7186319/55296, 
  595361/20736, 257683/20736, -717575/110592, -12641/3456, 26305381/331776, 
  -2963/288, -6803/576, -1151/384, -73/24, -15385/3456, -811/384, 3349/384, 
  1517/1152, 49/36, -2555/3456, -20449/1728, 14051/3456, 2449/96, 5603/1728, 
  0, -3383/288, 70931/10368, -8669/27648, -48451/5184, -156979/10368, 
  -2402017/82944, -5101/2592, -20449/13824, 291085/10368, 14935/512, 
  -25955/3456, 31027/2304, 160379/27648, -84385/6912, 74627/13824, 
  121541/20736, 0, -138029/3456, -422821/41472, -82733/3456, -229363/331776, 
  1391915/331776, 0, -113299/10368, -100613/13824, 0, 173429/5184, 
  526669/13824, -299537/331776, 154949/13824, -190703/55296, -29729/10368, 
  -396719/27648, 1447123/20736, 65825/2304, 2935987/36864, -1043431/110592, 
  376471/41472, -1439585/20736, -31914533/331776, 293/72, -298739/10368, 
  -1018441/110592, 10027861/165888, 42917573/331776, -33538453/331776, 
  3881/576, 30767/10368, 15935/10368, -247937/20736, -2095/2592, -13145/6912, 
  -14129/1296, -50863/3456, -67979/10368, -787/1296, 1198061/20736, 
  29159/9216, -121573/2592, -5465/4608, 510007/10368, 1/24, 2317/1152, 
  6211/2592, -17/216, -90283/20736, 19/216, 4345/3456, -42391/3456, 
  3445/5184, 31423/1296, -1684903/41472, -972523/27648, 419549/20736, 
  49609/1536, -1461577/20736, -20279/216, 113261/1728, 1079/64, -9647/576, 
  -9031/2304, -8135/2304, 8071/768, -29045/2304, -2765/256, 12439/1152, 
  3341/384, -289/1152, 9655/864, -9727/1728, -15887/1728, 35053/6912, 
  23473/3456, 131119/2304, -11167/144, -24727/20736, -122791/2592, 
  629165/41472, -117457/18432, -43/3, 16963/6144, 294581/5184, -13999/13824, 
  -4397747/165888, 26879/1728, 2405395/82944, 11281/216, -222545/5184, 
  965167/55296, 49609/1728, -17739149/165888, 372971/4608, 657431/20736, 
  -53381/1728, -39419/2304, 12545333/165888, 15425/768, 30013/6912, 
  126197/27648}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
  -1, 0, 0, 0, 0, 4/3, -1, 1/3, 5/6, 0, 2/3, 0, -2/9, -1/2, 1/3, -1/6, -1/2, 
  0, 1/6, -1/3, 11/18, 0, 4/3, 1/3, -7/9, -1/9, -1/9, 0, -14/27, -28/27, 0, 
  -14/27, 92/27, -1/9, 8/27, -44/27, 2/27, 1/12, -11/54, 7/27, -79/108, -1/3, 
  19/54, -29/54, 16/27, -29/54, -5/9, -1/9, 11/12, 19/27, -71/108, -1/18, 
  20/81, 1/12, 14/81, 1/81, -79/108, -25/162, 19/54, 0, 2/81, -14/27, -5/54, 
  -23/27, -311/162, 0, -17/27, 341/81, 0, 13/81, 2/3, 221/324, 38/81, 
  113/162, -152/81, -23/162, -427/324, 0, 23/81, 0, 2, 0, 0, -1, 2, 0, 0, 0, 
  -1/2, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11/3, 7/4, 41/12, 0, 0, 
  -1/2, 2/3, 0, 0, 2/9, 0, -2/3, 2/3, -11/6, 0, 4, 0, 2/3, 0, -2/9, -1/2, 1, 
  -1/6, 5/3, 15, 205/6, -314/3, 5/2, -15/2, -77/4, 170/3, 22/9, 0, 1/3, 0, 
  -1/6, -10/9, 11/18, 7/18, 23/9, -11/3, -11/18, 0, -1/6, 2/9, -4/9, 0, 
  -11/18, -23/24, 0, -4/3, -5/9, 4/3, -127/54, -19/9, 1/6, -8/9, 715/54, 
  -1/9, 1/6, 10/27, 157/54, -325/54, -31/54, 1/3, -751/108, 23/27, -3713/216, 
  371/54, 829/54, 3229/54, 421/27, -380/27, -2812/27, -97/108, -955/108, 
  -3545/216, 1237/18, -157/108, -1/12, 11/54, 22/27, 79/108, 49/54, -19/54, 
  11/54, -22/27, 13/54, -5/27, -2, 13/2, -23/4, 101/24, 0, 143/36, -259/24, 
  607/36, 4, 1, -23/18, 67/6, 5/24, 9/4, -365/36, -1895/144, 479/12, 217/36, 
  58/9, 71/4, -923/18, 5/6, -2, -38/9, -7/36, -149/9, 31/4, -515/48, -63/4, 
  0, -5/3, 0, 0, 5/3, 0, 0, 5/24, 0, 0, 0, 0, 0, 5/4, -5/12, -13/12, 0, 0, 0, 
  0, 1/24, 5/24, 0, 5/3, 0, -5/3, -1, -37/64, 7/24, -13/4, -16/3, 47/96, 
  37/18, -5/12, -8447/648, 115/96, -317/324, 1/4, -1573/324, -8095/432, 
  503/96, -257/324, -17/12, -1255/324, 17/324, 1/2, -35/576, 2/3, 979/576, 
  -2507/216, 7/3, -1781/1728, 0, -8443/1728, 8027/1296, 7/8, 943/1728, 5/3, 
  1313/1728, 0, 0, -439/324, 0, 295/324, 8095/1296, -463/192, -121/324, 
  11/24, 175/324, 24745/1296, -161/64, 47/36, 11/24, 191/36, 464933/23328, 
  240169/3888, 1609/144, -234989/5832, -61487/1296, 5966/243, 895/216, 
  -35773/11664, 1/2, -3895/432, 445/576, 583/1728, -11849/1944, 5/2, -59/432, 
  -2/3, 403/576, -985/288, -2725/432, 5087/1728, -913/432, 82271/46656, 
  -64465/11664, 10729/1296, -299023/15552, -1693/144, 305/243, 126121/11664, 
  5279/1296, -2875/486, 10801/5184, 12833/1728, 5159/576, -913/432, 
  251927/46656, -61441/11664, 1009/72, -2009/192, 13/18, 305/243, 
  129145/11664, 247/27, -2875/486, -53713/1944, 54161/15552, 13711/486, 
  -23521/5184, -489647/15552, 0, 20267/5184, -314209/46656, 0, -14671/864, 0, 
  2995/1296, 28297/2916, 3785/216, -2929/486, 36535/3888, 355/7776, 
  -3205/243, 3335/5184, 159841/15552, -4457/1296, 357793/139968, 
  -64465/11664, 0, 122441/15552, -2970667/139968, 0, -269435/15552, 0, 
  17567/5832, 129145/11664, -1285/648, 1273535/69984, 68315/3888, 0, 
  -2749/486, 16069/11664, 0, 20101/11664, -72641/139968, 897203/139968, 
  41399/5832, 303515/23328, -6410/729, -1009091/46656, 110507/139968, 
  160177/7776, -101605/11664, -169795/46656, 141889/23328, 364961/23328, 
  -294863/7776, -159841/23328, 0, -3/2, 0, 28433/3888, 0, 0, 28505/324, 
  -28505/324, -14185/324, 6755/162, 3634/81, -28505/648, 28829/648, -1, 0, 0, 
  0, 0, -28343/1296, -28343/1296, -30935/1296, 30071/1296, 30071/1296, 
  -28235/1296, 0, 29639/1296, 29639/1296, -142813/1944, 28649/648, 
  28433/1944, -5/9, 28433/486, -28649/972, -28217/1944, 85/72, -5/24, -5/24, 
  2/9, -28541/972, 28433/1944, -5/12, 0, 0, -5/24, 0, 5/24, 5/24, 0, 0, 0, 0, 
  5/96, 25/128, 25/384, 0, -235/192, 45/64, 25/96, -25/48, 25/128, 25/384, 0, 
  -3563/648, -3563/648, -29531/1296, 7079/162, 27569/432, 3977/144, 4555/162, 
  3691/144, 29489/432, -26777/1296, -4555/162, -3707/1296, -57659/1296, 
  -7069/972, 0, 0, 1237099/3888, 6605/324, -106814765/279936, 7555/972, 
  32015/1296, -2411413/139968, 0, -760439/139968, -690005/7776, 
  -310459/11664, -29758015/1119744, -10889/1296, 11767471/93312, 
  -690005/7776, -268045/11664, -31254031/1119744, -10889/1296, 
  11850667/93312, -305225/3888, 835535/23328, 12977297/373248, -2753/1296, 
  30347737/559872, 16193207/69984, -15221071/186624, -4783/24, 
  65217487/186624, -7786745/17496, 13126811/373248, 440839/1458, 
  -360657371/373248, -358837/5832, 349/72, -29/18, -67/18, -37/3, 
  -1520045/23328, 6870047/34992, 40888289/373248, -104237/729, 
  61221391/373248, -916445/23328, 11652035/69984, -15221071/186624, 
  -391919/2916, 69995719/186624, 597655/7776, 5498243/139968, 
  -11734639/373248, -69895/5832, 81536671/373248, -3925/162, 661/96, 
  -18797/1728, 129/4, -1723/192, -10835/1296, 103/192, 10505/1728, -155/8, 
  -767/576, -144337/2592, 67685/5184, 4145/54, 30853/1296, 0, -32113/864, 
  30593/1944, 1057/3888, -143549/5832, -156725/3888, -18364/243, -13781/3888, 
  -30521/5184, 274937/3888, 419005/5184, -23935/1296, 163159/5184, 5915/486, 
  -187231/5184, 33929/1728, 265901/15552, 0, -720929/7776, -46111/1944, 
  -241039/3888, -15961367/1119744, 4023281/373248, 0, -12811/1296, 
  -28243/5184, 0, 623909/7776, 38226473/279936, 156223/13824, 66259/5184, 
  -4167307/186624, -2809/972, -299333/7776, 6790343/34992, 66221/864, 
  226459867/1119744, -15221071/373248, 297091/15552, -11919851/69984, 
  -99860863/373248, 33/4, -1139783/15552, -27242707/1119744, 36787615/186624, 
  134676607/373248, -108902671/373248, 12727/648, -527795/46656, 59497/11664, 
  -332845/10368, 33211/2592, -23243/3456, -119677/1944, -98531/23328, 
  -11951/5184, 36899/972, 4401019/31104, -118997/15552, -1067839/7776, 
  -1214/27, 3953185/31104, 1/12, 21061/5184, -54037/46656, -79/108, 
  -16697/3456, 19/54, 2435/1296, -551651/11664, 3083/864, 278527/3888, 
  -6359609/62208, -6483059/62208, 2436679/31104, 944339/10368, 
  -3044077/15552, -56083/243, 308011/1944, 28505/648, -28289/648, 
  -30629/2592, -26021/2592, 26525/864, -28523/864, -25211/864, 23519/1296, 
  27587/1296, 25/192, 28433/972, -28433/1944, -237589/7776, 465053/31104, 
  -496309/23328, 3689/27, -161269/972, 93881/7776, -103519/972, 
  3782645/139968, 912149/186624, -33, -1043549/186624, 86791/648, 
  -131987/11664, -50954873/559872, -907/162, 1829635/46656, 725287/5832, 
  -15722233/139968, 14081617/186624, 582047/5832, -62119825/186624, 
  11585267/62208, 50360125/559872, -1770833/15552, -5324255/93312, 
  232093193/1119744, 126613/2592, -10619/972, 6455485/124416}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 5/4, -5/4, 
  -1/2, 0, 0, -7/3, 5/4, -4/3, -13/12, 0, -3/4, 0, -1/9, 5/8, -7/12, 1/6, 
  5/4, 0, -1/2, 7/12, -4/9, 0, -7/3, -1/2, 23/18, 1/36, 13/36, 0, 17/27, 
  371/216, 0, 23/27, -503/108, 13/36, -38/27, 133/54, 25/108, -5/24, 19/108, 
  -17/54, 193/108, 11/12, -43/54, 139/108, -109/108, 11/54, 29/36, -7/18, 
  -17/12, -11/54, 337/216, 5/36, -32/81, -5/24, -239/324, 13/162, 193/108, 
  691/648, -43/54, 0, -2/81, 17/27, 19/108, 67/108, 184/81, 0, 131/108, 
  -1715/324, 0, -47/162, -37/18, -925/648, -25/162, -46/81, 689/324, 133/324, 
  1865/648, -43/108, -53/81, 0, -5, 0, -1, 5/4, -5/2, 0, 0, 0, 5/4, 0, 5/4, 
  5/4, 0, -5/2, 1, 0, 0, -19/4, 0, 0, 19/4, 233/48, -9/8, -203/48, 0, 0, 5/4, 
  -5/3, 0, 0, -11/36, 0, 5/3, -7/6, 169/48, 0, -7, 0, -1/4, 0, -1/9, 1/2, 
  -5/4, 2/3, -5/3, -421/12, -1457/24, 1909/12, -73/8, 463/24, 447/16, -741/8, 
  -805/144, 1/2, 5/12, 1/3, 13/12, 25/9, -85/36, -161/144, -539/144, 43/12, 
  157/144, 0, 5/12, -5/9, 7/9, 0, 19/36, 133/48, 0, 10/3, 7/18, -10/3, 
  77/108, 43/9, -5/12, 8/9, -428/27, 10/9, -5/12, 161/108, -551/108, 851/108, 
  29/108, -19/12, 5593/432, -25/54, 19877/864, -4981/432, -6103/216, 
  -19225/216, -4027/108, 3407/432, 4288/27, 3389/864, 7843/432, 24197/864, 
  -3707/36, 2729/864, 5/24, -19/108, -155/54, -193/108, -173/108, 43/54, 
  -49/108, 142/27, -469/216, -7/108, 2, -101/16, 121/8, -865/48, -15/8, 
  -17/36, 571/32, -3109/144, -407/96, -5/2, 43/36, -167/12, -79/48, -51/8, 
  2657/144, 3143/144, -221/4, -4763/288, -3331/144, -487/16, 12259/144, 
  263/48, 5, 197/9, -379/72, 181/18, -209/8, 3985/96, 433/8, 0, 11/3, -1/6, 
  -1/8, -41/12, 3/4, -1/2, 3/8, -8/9, -8/9, 1/12, 1/36, -2/9, -5/2, 1, 
  -31/12, 17/9, -1/24, 49/72, 0, 4/3, 5/4, -1/9, -41/12, -1/2, 25/6, 9/4, 
  733/576, -23/36, 31/4, 85/6, -293/288, -151/36, 1/6, 126359/5184, -107/96, 
  3643/1296, 0, 10775/1296, 122359/3456, -839/96, 5399/2592, 89/36, 
  17443/2592, -17/162, -1, 103/192, -29/12, -2137/576, 37517/1728, -67/12, 
  3199/1728, -5/4, 15773/1728, -122807/10368, -1/2, -767/1728, -43/12, 
  -3889/1728, 0, -8/9, 1315/648, 0, -757/648, -121591/10368, 2293/576, 
  991/2592, -7/18, -73/2592, -374005/10368, 643/192, -875/288, -8/9, 
  -2887/288, -417431/11664, -7278317/62208, -35485/1728, 1703413/23328, 
  311713/3456, -43717/972, -13423/1728, 445801/93312, -1, 174001/10368, 
  -83/64, -1415/1728, 171185/15552, -7, -55/54, 7/6, -1033/576, 1763/216, 
  2929/216, -11729/1728, 13783/3456, -671245/186624, 908329/93312, -2243/144, 
  2241593/62208, 37537/1728, -34237/15552, -1771777/93312, -8803/1152, 
  41881/3888, -263339/82944, -196909/13824, -12559/768, 13783/3456, 
  -1911745/186624, 878953/93312, -275879/10368, 94811/5184, -431/288, 
  -34237/15552, -1811521/93312, -21281/1296, 41881/3888, 873901/15552, 
  -1900597/248832, -415169/7776, 310189/41472, 3719989/62208, 0, -4079/648, 
  1100083/93312, 0, 41705/1296, 0, -47389/10368, -1702009/93312, -86143/2592, 
  43285/3888, -309917/15552, 456827/248832, 389681/15552, -91523/41472, 
  -1239791/62208, 66755/10368, -2703737/559872, 908329/93312, 0, 
  -140941/10368, 22502483/559872, 0, 42083/1296, 0, -3806/729, 
  -1801153/93312, 17755/5184, -19640945/559872, -170243/5184, 0, 40225/3888, 
  -201469/93312, 0, -92935/23328, 1944577/2239488, -24615577/2239488, 
  -693437/46656, -9623809/373248, 389681/23328, 16908743/373248, 
  -4764419/1119744, -2412353/62208, 1489693/93312, 1510619/186624, 
  -3863261/373248, -2798515/93312, 4426757/62208, 1239791/93312, 0, 15/4, 0, 
  -418361/31104, 0, -1/4, -434489/2592, 426281/2592, 428441/5184, 
  -418937/5184, -434921/5184, 439889/5184, -430169/5184, 29/12, 0, -23/36, 
  -23/36, 23/36, 420809/10368, 436937/10368, 484169/10368, -469193/10368, 
  -469193/10368, 432473/10368, 0, -452489/10368, -460553/10368, 
  2201317/15552, -428369/5184, -458105/15552, 1055/72, -429269/3888, 
  430889/7776, 426353/15552, -64/9, -151/72, -61/72, -5/9, 426245/7776, 
  -434345/15552, -29/12, 29/18, -57/8, -3/8, -85/36, 3/8, 131/72, 103/36, 
  8/9, 85/36, 577/72, 37/72, 349/96, -43/288, 0, -799/144, -79/48, 61/72, 
  -23/18, 353/96, -2171/288, -7/12, 58649/5184, 58649/5184, 447233/10368, 
  -421961/5184, -424337/3456, -184145/3456, -132629/2592, -170369/3456, 
  -447077/3456, 417425/10368, 138461/2592, 48785/10368, 848237/10368, 
  98407/7776, 0, 55/72, -9913517/15552, -137903/2592, 1567877081/2239488, 
  -113095/7776, -508073/10368, 40933417/1119744, 0, 8223107/1119744, 
  5549371/31104, 19004539/373248, 449301715/8957952, 210623/10368, 
  -173801371/746496, 5549371/31104, 16523539/373248, 464326675/8957952, 
  210623/10368, -174980875/746496, 2422843/15552, -25623721/373248, 
  -197979581/2985984, 71231/10368, -427182853/4478976, -118250557/279936, 
  242580067/1492992, 71387/192, -1004724163/1492992, 447000245/559872, 
  -255517919/2985984, -6406585/11664, 5565297983/2985984, 1448011/11664, 
  -523/36, 167/48, 565/72, 3749/144, 23748131/186624, -203861203/559872, 
  -610444013/2985984, 24556451/93312, -952057219/2985984, 13914617/186624, 
  -5206759/17496, 241460323/1492992, 23046611/93312, -1079766763/1492992, 
  -9326485/62208, -36838369/559872, 190597891/2985984, 1770377/93312, 
  -1259253619/2985984, 97151/2592, -103/288, 61075/1728, -133/4, 15505/1728, 
  184295/10368, -1159/192, -13645/1728, 1997/72, -3199/1728, 280541/2592, 
  -73223/2592, -124567/864, -176537/5184, 0, 97903/1728, -991975/31104, 
  80551/248832, 2106209/46656, 2445479/31104, 35325233/248832, 53951/7776, 
  461693/41472, -4207073/31104, -6302041/41472, 369823/10368, -1330067/20736, 
  -5007425/248832, 1439723/20736, -165119/4608, -2166091/62208, 0, 
  5778025/31104, 5796509/124416, 3811759/31104, 217882031/8957952, 
  -63129533/2985984, 0, 27301/1152, 547273/41472, 0, -624839/3888, 
  -279262549/1119744, -5589617/331776, -1151497/41472, 57402331/1492992, 
  234733/31104, 17795117/248832, -201232915/559872, -1034357/6912, 
  -3346682743/8957952, 242580067/2985984, -5012203/124416, 182110853/559872, 
  1522799731/2985984, -1129/72, 563737/3888, 215458471/8957952, 
  -578546275/1492992, -2039159827/2985984, 1683966019/2985984, -162781/5184, 
  788947/46656, -886729/93312, 271031/5184, -32761/1728, 23819/1152, 
  341425/3888, 1841221/93312, 8089/288, -171337/3888, -4181035/15552, 
  2385625/248832, 3796465/15552, 794753/13824, -15046015/62208, -5/24, 
  -23221/2592, -789647/93312, 193/108, 89819/5184, -43/54, -26717/10368, 
  9698435/93312, -39367/2592, -1071325/7776, 3189163/15552, 48864871/248832, 
  -1190675/7776, -7284919/41472, 23810723/62208, 837559/1944, -4601755/15552, 
  -434561/5184, 412961/5184, 471641/20736, 478553/20736, -458393/6912, 
  427193/6912, 359609/6912, -297833/10368, -399353/10368, 913/144, 
  -423977/7776, 521177/15552, 389849/7776, -449843/15552, 3715457/93312, 
  -1782199/6912, 600175/1944, -906749/62208, 1689619/7776, -73182593/1119744, 
  -25314113/1492992, 373/6, 26052473/1492992, -1358177/5184, 6401999/373248, 
  739195127/4478976, -51863/5184, -58220153/746496, -2841937/11664, 
  57079315/279936, -216040147/1492992, -7935833/46656, 945820435/1492992, 
  -23800255/62208, -170924587/1119744, 6984881/31104, 4743755/46656, 
  -1862752423/4478976, -1751245/20736, 387565/62208, -7056109/62208}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -5, 5, -1, 0, 
  0, 23/3, -5, 37/6, 25/6, 0, 10/3, 0, -23/18, -5/2, 5/12, -5/6, -5/2, 0, 
  5/6, -17/12, 113/36, 0, 23/3, 5/3, -38/9, -37/72, -7/18, 0, -58/27, 
  -143/27, 0, -103/27, 1801/108, -7/18, 377/216, -208/27, 101/216, 1/3, 
  -61/54, 29/27, -95/27, -5/3, 49/27, -169/54, 359/108, -487/216, -22/9, 
  -23/36, 17/4, 347/108, -659/216, -2/9, 106/81, 1/3, 49/81, -19/81, -95/27, 
  -55/81, 49/27, 0, 34/81, -58/27, -23/27, -118/27, -6073/648, 0, -227/54, 
  6745/324, 0, 77/81, 13/4, 985/324, 232/81, 1169/324, -1523/162, -251/324, 
  -503/81, -19/72, 439/324, 0, 18, 0, 0, -5, 10, -2, 0, 1, -5, 0, -3, -5, 0, 
  10, 0, -2, 0, 18, 0, 0, -18, -217/12, 9, 205/12, 0, 0, -3, 16/3, 1, 0, 
  -11/9, 1/2, -29/6, 11/6, -73/6, 0, 23, 0, 10/3, 0, -23/18, -5/2, 5, -1/3, 
  25/3, 102, 553/3, -3071/6, -5, -54, -84, 901/3, 67/72, 0, 5/3, 0, -1/3, 
  -379/72, 26/9, 143/72, 923/72, -55/3, -113/36, 0, -2/3, 16/9, -23/9, 0, 
  -44/9, -413/48, 0, -19/3, -13/9, 41/6, -2435/216, -98/9, 2/3, -55/9, 
  14069/216, -7/18, 2/3, 325/216, 394/27, -3211/108, -289/108, 5/6, -1466/27, 
  49/27, -10793/108, 2275/54, 2209/27, 31693/108, 5773/54, -5059/108, 
  -27487/54, -1007/432, -6497/108, -4993/54, 12079/36, -2981/432, -1/3, 
  35/27, 230/27, 95/27, 7/27, -49/27, 35/27, -847/54, 2819/216, -89/54, 
  -17/2, 45/2, -1, 97/6, 9, 1451/72, -565/12, 5617/72, 243/16, 6, -193/18, 
  685/12, -3/16, -1, -1289/18, -8329/144, 2647/12, 317/9, 3073/72, 191/2, 
  -17827/72, 169/24, -23/2, -328/9, 889/36, -598/9, 38, -1405/48, -126, 0, 
  -34/3, -7/12, -5/8, 31/3, -3, 2, -17/12, 11/12, 11/12, 5/3, 11/24, -1/24, 
  15/2, -49/6, 9, -5/4, -71/24, 5/8, 3, -47/12, -41/12, -1/8, 31/3, 2, -40/3, 
  -7, -113/48, -1/12, -21, -47, 79/24, 1927/144, 2/3, -471515/5184, 125/24, 
  -2239/324, 1/2, -43505/1296, -448267/3456, 295/12, -8753/2592, -37/12, 
  -87961/2592, 31/1296, 5/2, 793/288, 115/12, 2557/288, -140981/1728, 62/3, 
  -5603/864, -1/4, -31747/864, 444419/10368, 1/4, -29/216, 23/2, 5083/432, 0, 
  -13/12, -1297/162, 0, 401/81, 450067/10368, -553/48, -9607/2592, 7/12, 
  16087/2592, 1370569/10368, -177/16, 2549/288, 31/12, 11819/288, 
  2939569/23328, 26313929/62208, 45371/576, -6161413/23328, -3416759/10368, 
  158107/972, 50035/1728, -1841029/93312, 5/2, -215839/3456, 1993/288, 
  277/216, -671261/15552, 99/4, -895/432, -41/6, 1117/288, -8057/288, 
  -20369/432, 22787/864, -50611/3456, 2725309/186624, -3173821/93312, 
  36913/648, -8305865/62208, -47567/576, 127081/15552, 6289717/93312, 
  312791/10368, -154597/3888, 992783/82944, 689417/13824, 145597/2304, 
  -50611/3456, 7491073/186624, -3260221/93312, 111187/1152, -9863/144, 
  1319/288, 127081/15552, 6840949/93312, 13705/216, -154597/3888, 
  -3022237/15552, 9314737/248832, 1536389/7776, -1369417/41472, 
  -13741957/62208, 0, 126469/5184, -3676885/93312, 0, -100739/864, 0, 
  168217/10368, 5959669/93312, 104545/864, -154165/3888, 1105481/15552, 
  -1580879/248832, -1431089/15552, 373127/41472, 4460351/62208, 
  -249599/10368, 11129777/559872, -3173821/93312, 0, 1618001/31104, 
  -82258187/559872, 0, -1861981/15552, 0, 119395/5832, 6389941/93312, 
  -69883/5184, 72808325/559872, 1901329/15552, 0, -139405/3888, 878809/93312, 
  0, 324991/23328, -14687437/2239488, 86101861/2239488, 2453057/46656, 
  34778509/373248, -1431089/23328, -57896219/373248, 27390839/1119744, 
  8919949/62208, -5793241/93312, -4825427/186624, 15293177/373248, 
  10184707/93312, -16485089/62208, -4460351/93312, 0, -27/2, 0, 
  1562537/31104, 0, 7/9, 1583417/2592, -1551161/2592, -1578233/5184, 
  1567001/5184, 1546265/5184, -1586153/5184, 1575209/5184, -88/9, 3/2, 5/12, 
  5/12, -5/12, -1590473/10368, -1566281/10368, -1732169/10368, 1629353/10368, 
  1660457/10368, -1504073/10368, 0, 1658729/10368, 1646633/10368, 
  -8004493/15552, 1588457/5184, 1619561/15552, -355/9, 1577765/3888, 
  -1606817/7776, -1524089/15552, 449/18, 19/6, -11/6, 41/18, -1590185/7776, 
  1598825/15552, 17/2, -37/12, 715/24, 17/12, 10, -17/12, -61/12, -12, 
  -11/12, -10, -811/24, -31/16, -3445/192, 841/192, 0, 939/32, -7/32, -57/16, 
  65/24, -1055/64, 5977/192, 0, -171341/5184, -171341/5184, -1663337/10368, 
  1511705/5184, 1587593/3456, 24339/128, 15367/81, 190667/1152, 1594409/3456, 
  -1478441/10368, -30815/162, -152045/10368, -3106949/10368, -432787/7776, 0, 
  -2/3, 34702247/15552, 517427/2592, -5697892433/2239488, 436027/7776, 
  1769321/10368, -143748457/1119744, 3, -26389667/1119744, -19375057/31104, 
  -68148547/373248, -1591396795/8957952, -773891/10368, 628396963/746496, 
  -19375057/31104, -58617019/373248, -1676504251/8957952, -773891/10368, 
  633705955/746496, -8547313/15552, 91824673/373248, 701780309/2985984, 
  -280835/10368, 1584256093/4478976, 434655289/279936, -822152395/1492992, 
  -807137/576, 3534375595/1492992, -1666257413/559872, 623821415/2985984, 
  25293079/11664, -19489715399/2985984, -2545319/5832, 851/18, -1577/144, 
  -539/18, -1651/16, -84703499/186624, 749275507/559872, 2288970245/2985984, 
  -94601891/93312, 3232658923/2985984, -50803985/186624, 77468611/69984, 
  -820814923/1492992, -89162579/93312, 3793441555/1492992, 33187285/62208, 
  142947805/559872, -633289579/2985984, -8979041/93312, 4458206683/2985984, 
  -375689/2592, -71/8, -95231/864, 1415/12, -1591/32, -524339/10368, 893/48, 
  1229/54, -587/6, 743/36, -510325/1296, 520249/5184, 453727/864, 
  158975/1296, 0, -338875/1728, 3577459/31104, 861269/248832, -7757351/46656, 
  -8841131/31104, -129607469/248832, -81601/3888, -1930169/41472, 
  15202553/31104, 23260789/41472, -1460335/10368, 4582043/20736, 
  20151677/248832, -5087387/20736, 1600121/13824, 7045675/62208, 0, 
  -20286055/31104, -20479685/124416, -13352383/31104, -695187047/8957952, 
  209344853/2985984, 0, -881257/10368, -2301085/41472, 0, 8670533/15552, 
  995586619/1119744, 7061539/110592, 4512925/41472, -200967427/1492992, 
  -815953/31104, -65796713/248832, 741592819/559872, 3700037/6912, 
  12470248831/8957952, -822152395/2985984, 17718175/124416, 
  -689579693/559872, -5566911835/2985984, 457/8, -3948473/7776, 
  -1575848047/8957952, 1988037259/1492992, 7512645883/2985984, 
  -5892801451/2985984, 661843/5184, -553687/11664, 3089149/93312, 
  -2086301/10368, 322657/5184, -99803/1728, -654233/1944, -7533445/93312, 
  -445195/5184, 608341/3888, 30018995/31104, -8610757/248832, 
  -14059183/15552, -3076373/13824, 54436297/62208, 1/3, 168641/5184, 
  3085967/93312, -95/27, -12727/216, 49/27, 99545/10368, -36260843/93312, 
  93581/1728, 3901825/7776, -22323689/31104, -180668947/248832, 
  16472429/31104, 27739087/41472, -83024081/62208, -1554437/972, 
  17092867/15552, 1583849/5184, -1493129/5184, -1742393/20736, 
  -1568441/20736, 1590329/6912, -1565993/6912, -1564265/6912, 1464041/10368, 
  1599977/10368, -3623/96, 1548929/7776, -1969481/15552, -1476839/7776, 
  881587/7776, -10975637/93312, 6539527/6912, -4490765/3888, 5460149/62208, 
  -5793967/7776, 257814593/1119744, 71300249/1492992, -1403/6, 
  -86033681/1492992, 4863127/5184, -22726151/373248, -2733656207/4478976, 
  19115/5184, 225728105/746496, 20411525/23328, -214812697/279936, 
  732314539/1492992, 31281389/46656, -3334165675/1492992, 82534537/62208, 
  630928063/1119744, -1484957/1944, -42138901/93312, 6347778055/4478976, 
  7279021/20736, -6567445/62208, 2869439/7776}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 
  5/3, 0, -5/6, 1/6, 0, -2/3, 0, -5/18, 0, -1/12, 1/6, -3/2, -1, 1/3, 13/12, 
  23/36, 0, 5/3, 1/3, -8/9, 17/72, -1/18, 0, -10/27, -20/27, 0, -25/27, 
  211/108, -1/18, 371/216, -40/27, 95/216, 1/6, 5/54, 5/27, -44/27, -5/6, 
  29/54, -91/54, 41/108, 59/216, 2/9, 19/36, 7/12, -43/108, -293/216, -1/9, 
  22/81, 1/6, 64/81, -7/81, -44/27, -115/81, 29/54, 0, 10/81, -10/27, -8/27, 
  4/9, -139/648, 0, -53/54, 475/324, 0, 17/81, 7/4, 343/324, 52/81, 71/324, 
  -305/162, -101/324, -337/162, 101/216, 157/324, 0, 2, 0, 0, 0, 2, -2, 0, 1, 
  -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53/12, -1/2, -1/6, 0, 0, -2, 4/3, 
  1, 0, -49/18, 1/2, 1/6, -7/6, -1/6, 0, 5, 0, -2/3, 0, -5/18, 1/2, 0, -1/3, 
  -5/3, 18, 73/3, -461/6, 15, -11, -23/2, 133/3, 529/72, -2/3, -5/3, -1, 0, 
  -145/72, 11/9, 137/72, 185/72, 23/6, -65/36, 0, -1/3, 4/9, -5/9, 0, -25/18, 
  -35/48, 0, -11/3, -1/9, 25/6, 847/216, -29/9, 1/3, -13/9, 599/216, -1/18, 
  1/3, -641/216, 22/27, -517/108, 209/108, 13/6, -29/27, 1/27, 49/108, 
  103/54, 352/27, 4291/108, 1039/54, -325/108, -4117/54, -2669/432, 
  -1055/108, -457/54, 667/12, -1727/432, -1/6, 2/27, 44/27, 44/27, 67/27, 
  -29/54, 14/27, -73/54, -367/216, -23/54, 5, -17/2, 5, 173/12, 0, -343/72, 
  -51/4, 751/72, -3/16, 4, 17/18, 1/12, -119/48, -7/2, -131/18, 767/144, 
  589/12, -35/18, 1603/72, 23/2, -3721/72, -325/24, -15/2, -172/9, -77/36, 
  11/9, 51/2, -1009/48, -85/2, 0, -10/3, -3/4, -3/8, 10/3, 0, 0, 5/12, 3/4, 
  3/4, 1/2, -1/8, -1/8, 5/2, -23/6, 4/3, -3/4, -3/8, 11/8, 3, -41/12, 5/12, 
  -7/8, 10/3, 0, -10/3, -2, -21/16, 5/12, -17/3, -53/3, 1/24, -335/144, 5/3, 
  47371/5184, 115/24, 1973/324, -3/2, 3313/1296, 85883/3456, 113/12, 
  -28247/2592, -11/12, 52817/2592, 1705/1296, 1/6, -3881/288, 73/12, 
  2827/288, 35941/1728, 20/3, 3811/864, -3/4, 2219/864, -101683/10368, -5/4, 
  979/216, 41/6, -2963/432, 0, -5/4, -365/81, 0, 721/162, -84803/10368, 
  -127/48, 30623/2592, -5/4, -32351/2592, -217625/10368, -87/16, -157/288, 
  3/4, -3283/288, -498881/23328, -4402585/62208, -12035/576, 1112117/23328, 
  741415/10368, -16187/972, -8003/1728, 916373/93312, 1/6, 1213/128, 
  -3257/288, 889/216, 242221/15552, 115/12, 8663/432, -23/6, 2443/288, 
  345/32, -3719/432, -13507/864, 7715/3456, -1057229/186624, 437645/93312, 
  -502/81, 2104921/62208, 12263/576, -49913/15552, -1139333/93312, 
  -185479/10368, 16133/3888, -680767/82944, -5785/13824, -37541/2304, 
  7715/3456, -2486993/186624, 268301/93312, -57113/3456, 425/432, -7/288, 
  -49913/15552, -722885/93312, -647/72, 16133/3888, -29251/15552, 
  -2350721/248832, -160309/7776, 99545/41472, 1559789/62208, 0, -21941/5184, 
  306533/93312, 0, 20987/864, 0, -30953/10368, -1324229/93312, -963/32, 
  17861/3888, -47761/15552, 391039/248832, 130177/15552, 41225/41472, 
  -164119/62208, 40303/10368, -4910977/559872, 437645/93312, 0, 
  -195601/31104, 19242427/559872, 0, 362501/15552, 0, -56519/5832, 
  -1122053/93312, -18037/5184, -27041941/559872, -432665/15552, 0, 
  25709/3888, 467671/93312, 0, 10837/23328, 17661533/2239488, 
  -23005301/2239488, -251569/46656, -8758685/373248, 130177/23328, 
  -1530677/373248, -4462951/1119744, -519965/62208, 620969/93312, 
  -580901/186624, -1689337/373248, -684827/93312, 2215633/62208, 
  164119/93312, 0, -3/2, 0, -156121/31104, 0, -1/2, -160585/2592, 
  155401/2592, 154969/5184, -176569/5184, -143737/5184, 155401/5184, 
  -155401/5184, 1/2, 3/2, 1/4, 1/4, -1/4, 150217/10368, 181321/10368, 
  139849/10368, -156265/10368, -125161/10368, 146761/10368, 0, -142441/10368, 
  -157993/10368, 789677/15552, -159145/5184, -156121/15552, -107/18, 
  -153205/3888, 148129/7776, 169945/15552, 143/18, -2/3, -2/3, 7/9, 
  147265/7776, -156121/15552, -5/6, 3/4, -1/8, -5/12, 0, 5/12, 5/12, 0, -3/4, 
  0, 1/8, 17/48, -117/64, 475/192, 0, 83/96, -69/32, 31/48, -37/24, -93/64, 
  427/192, 5/4, -31283/5184, -31283/5184, 134665/10368, -158857/5184, 
  -167209/3456, -9547/1152, -9193/648, -11531/1152, -141961/3456, 
  180457/10368, 8869/648, -18467/10368, 289381/10368, 82211/7776, 0, -1/2, 
  858953/15552, -142435/2592, 594445201/2239488, -88043/7776, -140713/10368, 
  17754473/1119744, 3, -1764317/1119744, -733663/31104, 5914883/373248, 
  135407483/8957952, 203059/10368, -61119587/746496, -733663/31104, 
  3055355/373248, 73068155/8957952, 203059/10368, -55592867/746496, 
  113441/15552, -7313441/373248, -35933077/2985984, 77491/10368, 
  -216586397/4478976, -42270713/279936, 31171211/1492992, 28523/192, 
  -171414635/1492992, 195961477/559872, 137904089/2985984, -3949271/11664, 
  734760583/2985984, 16819/5832, 275/18, -23/144, -106/9, 721/48, 
  4012507/186624, -66270995/559872, -228300613/2985984, 12954067/93312, 
  7034965/2985984, 5078401/186624, -9026375/69984, 31077899/1492992, 
  11807107/93312, -163668563/1492992, -2464037/62208, -31282493/559872, 
  15229739/2985984, 3509809/93312, -237700763/2985984, 46537/2592, 373/24, 
  -4673/864, 103/4, 509/96, 8803/10368, 67/48, -17/108, -52/3, 35/4, 
  53453/1296, -26249/5184, -64655/864, -43885/1296, 0, 81371/1728, 
  -303827/31104, -1224805/248832, 1162207/46656, 866683/31104, 
  17200189/248832, -18115/3888, 776905/41472, -1579801/31104, -2593925/41472, 
  206447/10368, 84221/20736, -2891149/248832, 74275/20736, 149303/13824, 
  1060765/62208, 0, -610345/31104, 858181/124416, 54143/31104, 
  -53851673/8957952, 17665643/2985984, 0, 169913/10368, 514925/41472, 0, 
  281219/15552, -86584019/1119744, -1834339/110592, -978029/41472, 
  16770563/1492992, -94639/31104, 7823161/248832, -68354963/559872, 
  -329845/6912, -1300833599/8957952, 31171211/2985984, 492913/124416, 
  73464013/559872, 477865499/2985984, -295/24, 26279/3888, 
  1022529839/8957952, -72912971/1492992, -669168059/2985984, 
  254182763/2985984, -115523/5184, -171853/11664, -439373/93312, 
  248269/10368, 30655/5184, -14021/1728, 41197/1944, 2345045/93312, 
  61691/5184, 82939/3888, -981667/31104, -1792555/248832, 1507919/15552, 
  -128795/13824, -2856497/62208, 1/6, -28369/5184, 1593137/93312, -44/27, 
  -449/144, 29/54, -15529/10368, 1983739/93312, 1699/192, -549377/7776, 
  347365/31104, 19212323/248832, -1133533/31104, -3164735/41472, 
  2760553/62208, 167569/972, -1873715/15552, -160585/5184, 157993/5184, 
  120121/20736, 52153/20736, -76345/6912, 157993/6912, 133225/6912, 
  -262825/10368, -138985/10368, -533/96, -154177/7776, 156121/15552, 
  120319/7776, -51857/7776, -5024459/93312, -557879/6912, 477613/3888, 
  -5123077/62208, -288001/7776, 26835263/1119744, 3804839/1492992, 257/6, 
  25088977/1492992, 75385/5184, -3600377/373248, 191906383/4478976, 
  -194491/5184, -2964649/746496, -1007251/23328, 33936953/279936, 
  -34120043/1492992, -4578877/46656, 153969131/1492992, 2284543/62208, 
  -116908271/1119744, 206879/3888, 6050645/93312, -46071911/4478976, 
  -1202669/20736, 1732949/62208, 87751/15552}, 
 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1/4, -3/4, 0, 
  0, 0, -4/3, 3/4, -1/3, -5/6, 0, -1/12, 0, 13/18, -3/8, 1/6, -1/12, 1/4, 0, 
  2/3, -1/6, -31/36, -1, -1/3, 0, 13/9, -25/72, -2/9, 0, 91/54, -25/54, 0, 
  14/27, -11/27, -2/9, 107/216, 79/54, -107/108, -1/12, 161/216, -91/108, 
  145/432, -5/6, 163/432, 67/108, -5/54, 179/216, -1/9, 25/36, -71/48, 
  -47/54, 143/108, 1/18, -179/324, -1/12, 89/162, 17/81, 145/432, -103/324, 
  163/432, 0, -20/81, 91/54, 23/54, 5/27, -529/648, 0, 8/27, -167/324, 0, 
  -49/81, -19/36, -2513/1296, -305/324, 101/81, 197/81, 407/648, 1421/648, 
  -7/8, -409/648, 0, -2, 0, 1/2, 1/4, -3/2, 1, 0, -1/2, 3/4, 0, 1/4, 3/4, 1, 
  -1/2, 0, 0, 0, 1/4, 0, -1, 1/4, -109/48, -1/2, 13/48, 0, 0, 2/3, -11/12, 
  -1/2, 0, 77/72, -5/12, -1/12, 5/6, 25/48, -3, -1, 6, 5/12, -9/2, -25/9, 
  -7/4, 3/4, 17/12, 29/6, 25/6, 191/6, 139/12, -15/8, -19/3, -35/2, -53/8, 
  -589/144, -1/6, 5/12, 1/3, -1/6, 59/72, -1/9, 7/144, -83/144, -23/12, 
  67/144, 0, 1/6, 1/36, -2/9, 0, 11/72, 61/48, 0, 5/6, 37/18, -7/12, 191/108, 
  -163/72, -1/6, 115/18, -233/108, -85/18, -1/6, 379/216, 1523/216, 265/216, 
  -221/54, -1/12, -347/108, -245/108, -8927/432, -1519/432, 3047/216, 
  -1387/216, 413/108, 15587/432, 1267/108, 581/864, -365/108, -12551/432, 
  -365/24, 4997/864, 1/12, -143/216, -40/27, -145/432, -1/216, -163/432, 
  -29/54, 223/108, 101/216, -13/27, -33/8, 163/16, -61/8, 2/3, -3/8, 
  -1721/144, -103/12, 1181/144, 605/96, -4/3, 245/72, 59/24, -7/48, 71/12, 
  37/18, -889/36, -27, 1663/288, 203/144, 31/2, 1147/144, 187/48, 19/12, 
  397/72, 1489/144, -53/18, -31/4, -259/12, 211/4, 0, 2/3, -1/12, -1/8, 
  -17/12, 1/4, 1/4, -11/24, 1/9, 1/9, 1/6, -1/18, -1/18, -5/4, 1/12, 3/4, 
  -7/36, -1/8, 37/72, -7/6, 2/3, 2/3, -5/18, -17/12, 1/4, 5/3, 3/4, 155/288, 
  -5/36, 61/24, 19/2, -37/144, 505/288, 1/6, -16199/10368, -103/48, 
  -8639/1296, 1/6, 5695/2592, -117895/6912, -16/3, 57997/5184, 13/18, 
  -86023/5184, -739/324, -1/6, 2729/192, -59/24, -6937/576, -48173/3456, 
  -25/8, -9533/1728, -11/24, 1379/1728, 163847/20736, -1/6, -4081/864, -21/8, 
  2951/432, 0, 4/9, 3325/648, 0, -3847/648, 118567/20736, 623/288, 
  -61849/5184, -5/9, 64765/5184, 250453/20736, 295/96, 365/576, -1/18, 
  3439/576, 379669/46656, 4998437/124416, 48265/3456, -500401/46656, 
  -305281/6912, -4955/1944, 7663/3456, -1118857/186624, -1/6, -46921/20736, 
  2665/192, -3685/864, -389633/31104, -17/4, -18739/864, 5/6, -6745/576, 
  -16079/1728, 11683/864, 23905/1728, -7375/6912, 2065849/373248, 
  -275017/186624, 59/48, -3191669/124416, -49633/3456, 70669/31104, 
  353953/186624, 31067/2304, 6467/7776, 1426067/165888, -86627/27648, 
  16603/1536, -7375/6912, 3568141/373248, -370057/186624, 196247/20736, 
  3697/648, 173/576, 70669/31104, 181153/186624, 1295/648, 6467/7776, 
  616283/31104, 2252461/497664, 21401/15552, 235427/82944, -570169/124416, 0, 
  -1415/10368, -25969/186624, 0, -89413/5184, 0, 73741/20736, 687889/186624, 
  117661/5184, 6035/7776, -139039/31104, 365485/497664, 8947/31104, 
  -437677/82944, -502789/124416, -38603/20736, 8202557/1119744, 
  -275017/186624, 0, -52241/20736, -29708783/1119744, 0, -139079/10368, 0, 
  79705/11664, 196705/186624, 71057/10368, 45357473/1119744, 187403/10368, 0, 
  1859/7776, -1154867/186624, 0, -102707/46656, -26624089/4478976, 
  42268177/4478976, 40469/93312, 12314521/746496, 8947/46656, 
  13848937/746496, -1199341/2239488, -698335/124416, -24493/186624, 
  2064721/373248, 237701/746496, -538577/186624, -1470149/124416, 
  502789/186624, 0, 3/2, 0, 24161/62208, 0, 1/36, 27257/5184, -24089/5184, 
  -31577/10368, 77369/10368, 473/10368, -30569/10368, 23801/10368, 23/36, 
  -3/4, -7/72, -7/72, 37/72, -33737/20736, -29129/20736, 13495/20736, 
  1769/20736, -12055/20736, -24233/20736, 0, 16169/20736, 1769/20736, 
  -139597/31104, 28121/10368, 27617/31104, 41/18, 26969/7776, -30857/15552, 
  -10121/31104, -359/72, -7/72, 101/72, 17/72, -33341/15552, 25889/31104, 
  5/3, -5/36, 3/8, 11/24, 5/36, -11/24, -49/72, -7/18, -1/9, -5/36, -17/72, 
  -5/72, -23/32, 83/288, 0, 347/144, -49/48, -41/72, 65/36, -19/32, -53/288, 
  -1/3, 64399/10368, 64399/10368, -13865/20736, 15593/10368, 60809/6912, 
  -33703/6912, -24961/5184, -21991/6912, 23537/6912, -51017/20736, 
  27121/5184, 57631/20736, -65129/20736, -113743/15552, 0, 37/72, 
  -8432173/31104, 191183/5184, -143821697/4478976, 120007/15552, 
  -24151/20736, -10905961/2239488, -2/3, 10061725/2239488, 5248955/62208, 
  2210765/746496, 51449141/17915904, -253535/20736, 6246931/1492992, 
  5248955/62208, 5215349/746496, 169160501/17915904, -253535/20736, 
  -5532269/1492992, 1359371/31104, -3380543/746496, -74981563/5971968, 
  -144383/20736, 172745869/8957952, 9300265/559872, 50510117/2985984, 
  -9985/1152, -246939461/2985984, -110279141/1119744, -191774665/5971968, 
  2465179/23328, 1777533673/5971968, 456745/11664, -623/72, -67/96, 56/9, 
  -1199/288, 7728685/373248, 1230523/1119744, -28611211/5971968, 
  -6266111/186624, -487785605/5971968, -713345/373248, 298093/8748, 
  50510117/2985984, -4876799/186624, -304793885/2985984, -1064411/124416, 
  37732501/1119744, 59112581/5971968, -4242605/186624, -317073557/5971968, 
  9769/5184, -2939/144, -28589/1728, -43/24, -3107/1728, -130727/20736, 
  697/96, 9169/864, 19/9, -2401/432, -18073/2592, 1573/10368, 37663/1728, 
  35785/5184, 0, -34903/3456, -78953/62208, 2350529/497664, -475085/93312, 
  -43991/62208, -9180377/497664, 112099/15552, -1161389/82944, 256505/62208, 
  771433/82944, -131719/20736, -1023433/41472, 666473/497664, 688345/41472, 
  -15833/1024, -3123209/124416, 0, 5111021/62208, 1654267/248832, 
  2324045/62208, 227062201/17915904, -84461755/5971968, 0, -49151/6912, 
  -567937/82944, 0, -2195323/31104, -13018931/2239488, 7138265/663552, 
  1049473/82944, 8180237/2985984, 474611/62208, -2568629/497664, 
  2707963/1119744, -18139/13824, 133650127/17915904, 50510117/5971968, 
  -4906517/248832, -2490869/1119744, 108674837/5971968, 545/72, 
  1248707/31104, -1505834047/17915904, -154898789/2985984, 
  -101476853/5971968, 456898757/5971968, 61369/10368, 361535/23328, 
  486697/186624, 260063/20736, -11477/3456, -5923/1152, -41005/7776, 
  -4068721/186624, -26651/1152, -20111/7776, -3559969/62208, 7373903/497664, 
  219137/31104, -10937/27648, -4259579/124416, -1/12, 55937/10368, 
  -729049/186624, 145/432, -72593/10368, 163/432, -19219/20736, 
  -1461383/186624, 30881/10368, 368173/15552, 215095/3888, -8301583/497664, 
  -117307/62208, 1027867/82944, 8560495/124416, -23191/972, 602731/31104, 
  24521/10368, -22793/10368, 37687/41472, 169015/41472, -151735/13824, 
  -25865/13824, 48055/13824, 36905/20736, 64553/20736, -185/144, 25889/15552, 
  -25889/31104, 10831/15552, 13685/31104, 12617923/186624, 40783/13824, 
  -31289/1944, 9175229/124416, 1680629/15552, -107226655/2239488, 
  6405257/2985984, -93/4, -49149569/2985984, -1138315/10368, 11842009/746496, 
  161276257/8957952, 242519/10368, -38568583/1492992, -2027137/46656, 
  -37129393/559872, -74899973/2985984, 4271177/93312, 220033733/2985984, 
  -19825805/124416, 140996923/2239488, 296591/31104, -4623757/186624, 
  -902714369/8957952, 449773/41472, 1558163/124416, -4428665/124416}}
