{{1, 1, -1, -1, -1, 1, 2, -1, 1, 2, 67/27, -2, -6, 1, -40/27, -1, -83/54, 
  8/9, 65/18, 83/108, 19/27, 1, -73/27, 3, 19/27, -73/27, 19/54, -19/27, 
  167/108, 73/27, -2, 3/2, -6, -526/27, 256/27, 61/27, 2, -2, 526/27, 
  -256/27, -61/27, 2099/216, 625/108, 169/108, 2087/216, -80/27, -94/27, 
  -283/54, 85/9, -475/18, 19115/1242, 43/18, 191/108, 61/54, -323/12, 
  -235/27, -572/27, 907/108, 3436/81, 94/27, -172/27, -9211/108, -1853/54, 
  17365/324, 208/27, 32/27, -2509/108, 16717/324, 140/27, 1223/18, -727/72, 
  94/27, -785/108, -1079/108, -5521/216, -2353/216, -149/54, 259/108, 11/4, 
  593/72, 19/18, 35/18, -167/54, 23/9, -203/54, 35/18, 5/9, -77/27, 191/27, 
  217/18, 283/54, -973/54, 616/27, -353/1242, -943/54, -775/108, -2215/216, 
  1589/216, 47/27, 34/9, -34/9, -581/27, -89/108, -95/54, 95/54, 51/4, 
  -95/54, 95/54, 43/54, 79/414, 79/414, 517/216, 719/216, -719/216, 719/216, 
  -719/216, 30787/324, -1/2, -12599/162, -1493/54, 2, 283/27, -2, 6821/216, 
  8594/81, -119/2, -10513/108, -3017/72, 145/108, -76/27, -52/27, -187/108, 
  1/2, 1877/216, -62/27, 383/36, 28/27, 4031/216, -61/54, 61/27, 101/108, 
  -61/27, -106/27, -7/3, -34/9, 1283/108, -251/9, 19/54, 85/92, -79/414, 
  10489/621, 68/27, -719/216, -101/108, 719/216, 43/18, 29/108, 71/27, 
  -317/6, 5179/108, 3182/207, -94/27, 6901/54, -3151/36, 83059/648, 2897/108, 
  -2195257/4968, -55043/216, -10315/36, -797/4, 1/2, -1/2, 1056427/3726, 
  1063879/3726, 2471/72, -1889/36, 779/36, -374/3, 9853/108, 26893/414, 
  3059/72, 5033/36, -9235/108, -7505/138, 5633/72, 2209/27, -1073/54, 
  -757/108, -56/9, 1/2, -784/207, -1198/207, 451/144, -167/18, -127/9, 
  -2461/27, -3182/207, 94/27, -2305/108, -1555/54, 1555/54, -11497/216, 
  -60157/216, 3110/27, 2236/9, -242/3, -16021/54, 24695/324, -451/54, 
  3809/54, 360083/1863, 1, -415270/1863, -2, 3500711/29808, 2275/36, 
  -751/648, -385/12, -17753/216, -239/36, -271/108, -157/27, 569/54, 
  -149/216, 8297/216, -29/6, -61/18, 473/108, -7793/2484, 9641/2484, 1, 
  -1407/92, -433/54, 967/108, 127/9, -2029/216, -4183/72, 52/27, 1451/54, 
  533/12, 71/2484, 43135/2484, -1261/216, -63/8, 63/8, -94/27, -11105/108, 
  32923/432, 6901/54, -35441/108, 5565299/29808, 29599/108, -113837/432, 
  -8221/216, -83911/1656, -20945/432, 2065/414, 18487/108, -3667/552, 
  -154541/3726, 17717/432, 26477/828, -7/2, -7/2, 7/2, 7/2, -14/27, -14/27, 
  -14/27, 161/54, -133/54, -161/27, 161/54, -133/54, -161/27, -14/27, 
  -121/54, 3, -3, 2353/288, -161/54, -20/27, 161/54, -1081/18, -1309/16, 
  80/27, 6089/72, 134/9, 1081/36, 10925/432, -161/54, -1871/72, -107/18, 
  10925/432, -1871/72, 11105/864, -10925/432, -143/216, 5501/216, 3, -20/9, 
  -3, 155/54, -163/6, -3353/216, -15, 15, -155/54, 163/6, 3353/216, 
  -22801/432, 14557/432, 179/48, -5921/216, 691/432, 827/108, 649/288, 
  -5011/432, 8021/432, -27613/3312, -2899/108, -5981/432, 2, 1433/108, 27/2, 
  15713/432, 409/432, -20155/648, -48431/432, 12920/81, 7103/432, 2509/9, 
  371567/1296, 12211/108, 30187/648, -9407/216, -2239/18, -76847/648, 
  39907/648, -2779/18, -86945/432, -87/16, -39601/432, -1109/144, 13381/144, 
  6725/72, 85655/432, 92069/432, -33889/432, -97157/432, -4645/216, -5251/72, 
  -7495/108, 95/8, 13393/216, 413/108, -7495/108, 16633/216, 2975/216, 
  -517/144, -39239/864, -649/288, 14215/288, 48533/864, -317/48, -46775/6624, 
  647/1656, 12653/144, 92311/864, -2, -91813/864, -27/2, -169/216, -8861/432, 
  8861/432, 19043/432, 8623/864, 10115/864, -10115/864, -5687/108, 10115/864, 
  -10115/864, -10657/288, 317/96, 48583/9936, 48583/9936, -26363/864, 
  -3191/96, 3191/96, -3191/96, 3191/96, 26701/2592, 7/2, -100147/2592, 
  -4159/108, -15, 18769/216, 15, -127835/864, -38189/1296, 46279/288, 
  77567/1296, -21839/432, -36523/864, 7685/108, 581/72, -28645/432, -7/2, 
  -463/27, 15629/432, 1573/144, -850/27, -10445/216, 2731/216, -3451/216, 
  -223/72, 3451/216, -19187/864, -2839/288, 11117/432, -67/864, 11573/432, 
  399/32, 209/24, 107251/6624, -48583/9936, -39941/3312, -8335/432, 3191/96, 
  589/216, -3191/96, -2899/108, -4373/432, 2, 1031/108, 27/2, -654013/648, 
  -3727/432, 79753/96, -136679/4968, 75/2, 186515/1296, -8705/864, 
  -7652291/29808, -1647163/2592, 17764499/29808, -382901/1728, -139535/1296, 
  -68843/1296, -17/4, 7/2, -580433/1656, -605273/1656, -3599/288, -5339/144, 
  11495/144, 31241/108, 224483/648, -92753/552, -85/4, -10343/48, 752219/432, 
  14179/216, -3599/36, -33545/216, 4781/72, 19607/432, -67433/432, -7/2, 
  17299/2484, 54559/2484, -347/54, 5831/216, 15731/216, -27005/16, 
  136679/4968, -75/2, -254173/432, -75785/144, 85523/144, 144001/648, 
  -81545/1296, 515/432, 22895/324, 67879/864, 124951/5184, 187675/864, 
  -1501/27, 20165/48, -2631971/6624, -7, 1706233/6624, 15, -674027/3726, 
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  -574525/648, -336937/19872, -115033/9936, -8, 124901/3312, 34583/864, 
  -7793/216, -15731/216, 13459/864, -146/27, 9193/144, 28235/54, 652867/864, 
  13/1242, -323843/9936, 11623/864, 8191/288, -8191/288, 75/2, 312667/1296, 
  -22573/144, 186515/1296, -244817/162, -3556049/14904, 12134977/5184, 
  -3922/27, 758459/1296, 803453/6624, 6547/108, 670073/6624, -793729/648, 
  -557515/19872, -36778121/178848, 632671/2592, 8953/4968, 4, 4, -4, -4, 
  808109/119232, 900845/119232, 49/27, 808109/119232, 49/27, 35/27, 
  -1130477/119232, -900845/119232, 8/9, 146/27, -1130477/119232, 8/9, 146/27, 
  35/27, 4302131/238464, -1555793/119232, -4/9, 1405/192, -226001/4416, 
  -781613/59616, 6, -26813/864, 1878161/119232, 85/27, -17317/1728, 
  25273/216, 521261/2484, 459245/59616, -8153/48, -40/3, -25273/432, 
  -38785/864, 1223213/119232, 24611/432, 11/3, -38785/864, 24611/432, 
  -2753/864, 33367/864, -235/216, -82663/1728, -226001/4416, -781613/59616, 
  13/18, 6, 1837/72, 2771/108, 516691/59616, 59539/96, 685/207, 685/207, -9, 
  -83/108, 1948679/59616, 36, -36, -1837/72, -2771/108, -516691/59616, 
  -59539/96, -685/207, -685/207, 9, 83/108, -1948679/59616, 23941/288, 
  1465013/39744, -238043/3312, -1252331/119232, 366353/13248, 459889/39744, 
  8496779/119232, 4015/144, 9914629/238464, -4814525/238464, -803473/26496, 
  -2146885/238464, 3570869/59616, 10955315/59616, 21739103/79488, 
  -965143/1152, -2687873/238464, 140357/29808, 251915/19872, 7031219/238464, 
  -8311/1728, -2246759/59616, -5369699/238464, -1810679/59616, 3799/54, 
  -28096877/79488, -79565/2592, -605/32, 7793767/29808, 176927/7452, 
  52707367/79488, -8649023/59616, -32648951/59616, -40953491/59616, 
  -1723021/14904, -23625989/59616, 3920875/119232, 4482607/14904, 310940/621, 
  -25772165/59616, 5555695/14904, 21858485/59616, 23726221/119232, 
  14903831/59616, -1722221/119232, -37285549/119232, -14101/144, 
  -38688257/119232, -15404413/29808, 5955385/119232, 50804695/119232, 
  514345/59616, 9560935/59616, 17733019/119232, -1051027/119232, 
  -8924203/59616, 1321/108, 17733019/119232, -11070379/59616, -606667/59616, 
  21869/79488, 13448207/119232, 803473/26496, -4983751/59616, 
  -30706937/238464, -89149135/238464, -21107/1728, 293346317/238464, 
  311737/13248, -140357/29808, 92909/13248, -27188917/238464, -359581/2944, 
  2246759/59616, 17821339/119232, 1810679/59616, 695/192, 80135/1728, 
  -80135/1728, -10813/216, -3501493/238464, -3504805/238464, 3504805/238464, 
  1607/27, -3504805/238464, 3504805/238464, -189455/238464, 50557009/119232, 
  -681661/119232, -681661/119232, -9, 10078849/238464, 10678321/238464, 
  -10678321/238464, -83/108, 10678321/238464, -10678321/238464, 
  1948679/59616, -113521/288, -15/2, 161609/384, 25201/108, 36, -524557/1728, 
  -36, 388057/864, -67300961/158976, -82784407/238464, 2098069/13248, 
  654799/1863, 10093753/119232, -19038913/119232, -2479/216, 10661027/59616, 
  15/2, -103261/864, -3454649/119232, 660523/13248, 160699/864, 503/16, 
  -32413/1728, 6425/288, 511/216, -6425/288, 8441/108, 43123/1728, 
  -14897/576, -817/24, 3441701/59616, 176555/1152, 1865653/10368, 
  -965143/1152, -1946063/39744, 181961/13248, 310427/19872, 4250833/238464, 
  -10678321/238464, -181/72, 10678321/238464, 7031219/238464, -13399/1728, 
  -2246759/59616, -4667555/238464, -1810679/59616, 54424253/238464, 
  300741817/119232, -945169/14904, 2733623/29808, -3185759/3726, 
  994697/59616, -3269/72, -1925945/3726, 75462203/79488, -233594275/238464, 
  25582361/238464, -8349313/119232, -2245505/3456, -196863857/238464, 
  26785327/79488, -95946193/59616, 134273893/158976, 883595/864, 
  81448961/119232, 56983205/119232, -15/2, -16867723/119232, 
  -12575371/119232, -26934121/238464, 12721741/26496, 48341029/79488, 
  -1995637/29808, -93260087/39744, 2602729/59616, -710827/3726, 
  2660935/119232, -169310369/39744, 9660499/59616, 2142031/119232, 
  -707369/59616, -30409/432, -9396125/119232, 129943/324, 15/2, 30119/4968, 
  -148729/4968, -635/432, -9389/432, -11893825/119232, 47069387/29808, 
  -994697/59616, 3269/72, 29726647/29808, -397283/19872, 239795/432, 
  -1157425/2592, -207523/864, 397283/59616, 397283/59616, 100609157/119232, 
  -230627287/476928, -93998305/119232, 14392321/29808, 637558411/476928, 
  -156496627/119232, 23203187/39744, -110340035/158976, -17251123/119232, 15, 
  14758655/79488, -36, 7312847/158976, 153798997/238464, 189606839/158976, 
  -908215/1472, -33147179/119232, -1411793/14904, -12818977/79488, 
  -12846119/59616, 2465875/29808, 18407057/79488, 10935829/59616, 148217/384, 
  -144863/1728, 682147601/238464, 911093/13248, 370597/39744, 21, 
  -6017761/59616, -5814097/238464, 5185463/59616, 11893825/119232, 
  -7040879/238464, 305719/2208, -771731/3456, -805003/3456, -2203675/3456, 
  -13643/39744, 943387/19872, -39401/1728, -87217/1728, 87217/1728, -3917/72, 
  -9256211/238464, 928261/3456, -3522899/10368, -1925945/3726, 
  3399599/119232, -397283/59616, 1031171855/476928, 19930307/52992, 
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  6042587/59616, -25494053/119232, 141385867/79488, -2232787/238464, 
  -84635519/44712, -1380131/2592, -1064965/59616, 3, -3/2, -3/2, -3, -9, 9, 
  3/2, 3/2, -3/2, 4268935/238464, 941647/79488, 28/27, -1/18, -3/2, 
  48950/1863, 4156051/238464, 28/27, 652307/238464, 3, -10534535/238464, 
  -54539/1863, -56/27, -639059/238464, -950663/238464, -1136135/238464, 
  -35/27, -950663/238464, -35/27, 665555/238464, -7/9, 1122887/238464, 
  1136135/238464, 31/54, -13/9, 1122887/238464, 31/54, -1010003/238464, -7/9, 
  -2761/288, 1222247/119232, 11/54, -1184711/238464, 11657/432, 
  8761939/238464, 665555/238464, -435/16, -3, 3436081/238464, 
  -1308359/119232, -25/27, 1356935/238464, -9158665/119232, -6326227/59616, 
  -550739/79488, 7987597/79488, 394285/238464, 5941333/238464, 
  3840697/238464, -1308359/238464, -6078229/238464, -13/18, 3840697/238464, 
  -6078229/238464, 665555/238464, -2761/288, -1173433/119232, 11/54, 
  2292199/119232, 12305/432, 16279/864, -1079693/119232, -12193/432, 1/18, 
  -156473/59616, 59395/96, 11723/2484, 2528831/59616, -17/2, -5/2, -7, -17/2, 
  5/2, 7, -326167/39744, 1972723/2592, 4982/621, 70657/1472, 1291447/119232, 
  -894097/648, -31651/2484, -10780879/119232, -22375/59616, -287/36, 
  -117457/119232, -1238495/2592, -5485/2484, -5485/2484, 2393591/59616, 
  83/108, -3231803/119232, 3, 14, 14, -27, 3, 14, -14, 27, 22375/59616, 
  287/36, 117457/119232, 1238495/2592, 5485/2484, 5485/2484, -2393591/59616, 
  -83/108, 3231803/119232, -7481/48, 336477355/476928, -10489213/119232, 
  4146061/39744, -815773/14904, 3647459/59616, -415/288, -12483799/238464, 
  -4923131/59616, -6709/432, 37369/864, 10549229/238464, -2590027/238464, 
  -6065/96, -1010969/59616, 42227099/119232, -68737313/238464, 
  31398937/119232, 871573/238464, -967271/238464, 665713/119232, 
  -10552427/238464, -4615229/238464, 599021/13248, 10391243/238464, 
  2256695/59616, -2047/36, -279241/1472, 112913/1296, 381/16, -3043025/14904, 
  2249999/9936, -130578179/59616, 15908477/79488, 263579/1242, 
  19222063/26496, 346057/9936, 36076387/119232, 3837899/238464, -581363/3312, 
  -672049/1656, 39295651/119232, -760211/3312, -76844303/238464, 
  -17151901/59616, -2360095/14904, 6261731/59616, 19503973/59616, 6599/432, 
  426235/3726, 10196563/39744, 2746519/79488, -21090887/119232, 
  3012031/238464, -3180781/39744, -16055153/238464, 836989/238464, 
  338557/4416, -1027/72, -16055153/238464, 457789/4416, -789127/238464, 
  -7155089/79488, -8779111/79488, 2590027/238464, 7713391/59616, 
  3496925/238464, -18700997/79488, 3901573/39744, -6393901/9936, 
  -956005/119232, 967271/238464, -5240417/238464, 17299285/238464, 
  3683879/59616, -599021/13248, -10255765/119232, -1726315/39744, -36073/864, 
  -53689/864, 53689/864, 367/18, 1318057/238464, 1132585/238464, 
  -1132585/238464, -353/18, 1132585/238464, -1132585/238464, 8823563/238464, 
  -9510037/26496, 686101/238464, 686101/238464, 2393591/59616, 
  -3373429/238464, -3545653/238464, 3545653/238464, 83/108, -3545653/238464, 
  3545653/238464, -3231803/119232, 34775699/119232, 9/2, -38983457/119232, 
  -4622/27, -27, 52874995/238464, 27, -107405983/238464, 37515523/79488, 
  3175469/9936, -15181397/238464, -9077173/29808, -2387005/79488, 
  5956237/79488, 16/3, -7847665/79488, -9/2, 38354459/238464, -779053/119232, 
  -2332871/29808, -44786915/238464, -2413/432, 2761/288, -793/72, -11/54, 
  793/72, 3821/288, 6235/144, -26557/864, -29303/864, -184/9, 
  44622779/119232, -45741545/119232, -42369653/119232, 3406453/119232, 
  -181661/19872, 16897/119232, -1149973/238464, 3545653/238464, 13/18, 
  -3545653/238464, -10552427/238464, -4443005/238464, 599021/13248, 
  10219019/238464, -493/108, -814817333/476928, -530695579/476928, 
  93231017/476928, -7844387/17664, 2729659/29808, -88778831/119232, 
  8183465/119232, 353851/59616, -73886047/119232, -1395791/119232, 
  -115771/3726, -45483341/59616, 135817043/119232, 16543/552, 23921533/39744, 
  234518323/119232, -26183561/119232, 9992617/59616, 106422445/26496, 
  595431535/238464, -32831443/59616, 601330729/238464, 94613459/79488, 
  -93925/288, -50171713/238464, -276972485/238464, 9/2, 1090901/26496, 
  375509/26496, -1350911/119232, -73018849/158976, -569356081/476928, 
  -577235/14904, 154121693/59616, 1747799/29808, 724249/7452, 
  -25333045/238464, 220211779/119232, -1345325/7452, -4211831/238464, 
  180485/29808, 3547/144, 4163065/238464, 72287/324, -9/2, -22915/2484, 
  44153/2484, -251/216, 1205/432, 14860235/238464, 65397713/119232, 
  1395791/119232, 115771/3726, 53971675/59616, -16977079/13248, 
  -793813/39744, 184529/2592, 184529/2592, -397283/119232, -397283/119232, 
  -70482001/238464, -63725741/119232, 84525145/238464, -19899767/238464, 
  -234333403/238464, 3478075/9936, -89281415/79488, 2765/81, 4353967/79488, 
  -9, -4529521/238464, 27, -4519171/119232, -578016713/476928, 
  -5526365/238464, 526055821/476928, 194829871/238464, -20563757/158976, 
  7693657/39744, 5371073/29808, -908821/14904, -9203653/39744, 19253/432, 
  180787/648, 102187/288, -94468921/39744, -947729/19872, -20443/19872, -18, 
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  6137255/119232, -1271743/19872, -916003/2592, 916003/2592, 512111/1296, 
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