{{1, 1, 1, 2, 1, -4, 4, 15/2, -1, -3, -1, 5, 4, -2, -3, -1, -27/4, 11/4, 
  47/4, -15/4, -4, 3, -1, 11/4, -15/4, 3/2, -11/4, 35/8, -11/4, 9/2, 5, 5, 
  613/106, 1995/424, 9, 9, 749/424, 203/106, -6, -12, -5, -102157/424, 
  -5325/848, 6311/424, 56747/848, -6819/212, -78021/848, -54203/848, -9, 
  -26401/848, 27249/848, 26401/848, -4077/848, -10, -18, 12635/848, 
  -9935/848, -10, -12, 15107/848, -1543/424, -17025/848, 134979/848, 
  -104701/424, 27915/848, 10, -12, 20619/424, -5269/212, -13465/212, -1, 
  1765/212, 1995/424, 8, 27/2, -1258/53, -5931/848, 9271/424, 7181/424, 
  -659/53, -839/106, 3201/424, 6765/424, 1157/106, 21/4, -12, 368215/1696, 
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  8845/848, -434707/1696, 133707/848, -26401/848, -53677/848, -28549/424, 
  -13477/424, -751/8, 487/424, 487/424, 31965/1696, -2929/424, 6, -48593/848, 
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  -707/106, 48133/1696, 5, -7687/424, 828649/3392, 60247/848, -5/2, -2355/8, 
  -7/2, 5, -8, -3, 5, 2353/212, 76819/636, -31421/159, 77/53, 1397/212, 
  4557/212, -751/212, 28883/212, 30145/212, -16291/106, -29191/212, 333/106, 
  -737/106, 255/106, -217/53, 3285/212, -77/53, 30145/212, -2649/212, 
  -29191/212, -3/2, 227/106, -2639/212, -28999/212, -227/106, -863/53, 
  5943/848, -5965/424, 21593/1696, 5897/424, 1209/848, 8913/848, -8037/848, 
  897/1696, -1251/848, 1677/848, -12, -807/53, -1899/1696, -7661/424, 
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  1677/848, -6, -13567/424, -1899/1696, 1887/53, 8949/848, -254/53, 3163/424, 
  8827/848, -2353/424, 1009/212, 121/848, -15/8, 10, -497/40, 309/40, -15/8, 
  309/40, 21/40, 21/80, -977/80, -8, 105/8, 21/80, -8, 34819/848, -15139/848, 
  -157187/1696, -466969/1696, 194263/848, 26375/848, -14503/848, -1863/424, 
  -14987/1696, 29/1696, -5/2, -14291/848, -2777/848, 5/2, -165563/848, 
  3586/53, 199055/3392, 167683/848, -102157/848, -14563/848, -14503/848, 
  -23467/1696, -14291/848, -3601/424, 5/2, 5071/424, 14185/424, 21/32, 
  85021/424, -103429/848, 909/424, -1543/1272, -10/3, 7/2, 56785/636, 
  -169103/3816, -6555/424, 35087/848, -27879/848, 4, 51417/424, -50197/212, 
  2, -76227/848, -2, -21/4, 3/2, -5/2, -1/4, 47919/424, 4, -13/4, 3/2, 
  77/106, 3/4, 1397/424, 9/4, 1267/212, 29191/424, -77/106, 15/4, -2649/424, 
  -29191/424, 3/4, 1/2, -3/4, 613/53, -143/212, -77/106, 252919/1272, 
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  3755/424, -2563/106, -5645/424, 10685/424, 4603/424, -4, 13281/848, 
  -265/32, -3419/848, -3/2, 3, 13/8, -89/20, 309/40, 21/40, -107/20, 85/8, 
  -13291/424, 39053/848, 3407/212, -34451/848, 5/2, 5177/424, -14185/424, 
  5919/424, 131607/848, -105973/848, -5, -5, -109789/212, -5, -6, -43143/106, 
  -475205/2544, -803225/2544, 183413/636, -5/2, 104701/212, 104257/212, 
  171491/7632, -470599/7632, -460147/1272, 2111823/1696, 1156939/1272, 
  1778765/3816, -1662661/3816, 7071/212, 2115523/1696, 10553/106, 
  1797683/3816, -103255/424, -347/40, 15683027/25440, 14581373/12720, 
  -2870275/2544, -11982737/12720, 17, -154457/530, -134979/848, 9, -5, 
  18933/848, 186267/212, 2139879/1696, -204755/424, 127547/212, 5/2, 
  -61447/848, -6797/106, 65283/848, -614975/3392, -15991/3392, 10, 
  122509/424, 7885/53, -102205/1696, 1424393/1696, -211531/1696, -6311/848, 
  1145349/848, -916289/848, 4289/848, -6, 3053/848, 1147/212, -6275/848, 
  -1782481/3180, 1654383/4240, 4654163/6360, 33/2, 1654383/4240, 
  -5234657/3180, 4654163/6360, 269087/530, -21/80, 320595/424, -186633/1696, 
  -2216745/1696, -102159/424, -33005/1696, -1203167/848, -2151465/1696, 
  -313299/848, 259273/212, 7813/424, -507921/424, 181515/848, -453029/848, 
  1297685/848, 55118021/76320, -608740/477, -69619/1696, -6425/212, 
  -36153/848, -1677809/15264, -1703/212, 13431/424, -76037/1696, -15, -10, 
  41/5, -267/20, 1293721/2120, 4822501/4240, -101646469/95400, -1276349/4240, 
  -1308561/2120, 255715/848, 17426789/25440, 158529/848, 37527623/76320, 
  1096901/1696, 154411/848, -2426117/3816, 10648583/76320, 367869/1696, 
  -2099187/2120, 266543/3180, 13047431/16960, 2627965/5088, -2236343/3180, 
  -18275/1696, -9647/53, -69277/1696, 52195/1696, 3, 127441/212, 
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  133359/212, -5652481/12720, 180807/424, 536183/1060, -543990991/228960, 
  49443/1060, -23937/106, 522687/2120, -486119/848, -8243017/50880, 
  1126871/3392, 592473/1696, -200057/424, -1373701/16960, 57147/424, 
  -1176963/16960, 380975/1696, -29165/212, -821879/1696, -387759/1696, -15/2, 
  35035/1696, -64331/424, -162983/1696, 2277/1696, -12, -3309/424, 32143/848, 
  -86047/848, 225341/1696, -716847/3392, 22763/53, -231567/1060, 437253/530, 
  -4, 12, 20, 20, -32642185/30528, 159533/848, 38727523/38160, 831389/4240, 
  -252911/212, 5400283/5088, -328617/1696, -52177291/76320, 727985/848, 
  106457639/76320, 7621735/5088, -328617/1696, -31427387/38160, 727985/848, 
  15441881/7632, 86997/16960, -617633/5088, -86997/16960, -4735163/25440, 
  -333721/2544, 87435087/84800, -1252123/3392, 601417/5088, 6251711/16960, 
  212143/3816, 1001/53, 11772803/15264, -4754/53, -413/424, 923363/2544, 
  10/3, -195815/1908, 6, -78851/424, 84313/954, 90695/1272, 116125187/30528, 
  1480537/5088, 5/2, 1061237/12720, 14503/848, -272899/8480, -275543/3180, 
  42873/1696, 14487757/12720, -383203/720, -13119159/8480, -16367/424, 
  44933/1272, 5/3, -14488393/12720, 383203/360, 1886939/2120, 6019/159, 
  -383203/720, -44993/424, 44993/848, 5117/424, -5049/424, -2021/159, 15/2, 
  11483/1272, -3215/424, 6205/2544, 26627/2544, -46199/636, -21245/848, 
  7357389/4240, 338789/45, 125465/212, 589357/2544, -12367293/8480, 
  -266370607/19080, -12429149/12720, 12295637/1908, -35717/848, 715645/3392, 
  12236113/10176, -33563/2544, -5, 252483/8480, -267209/25440, 
  -3984859/25440, -109099/848, -835419/1696, 402807/1696, -9437/106, 
  91473/3392, -24831/1696, 54639/848, -388723/848, -15/2, -129113/1696, 
  637011/1696, 4195401/3392, 15104/53, -277027/1696, 77/106, 3216/53, 
  -3469/424, -11137/106, 5193/424, 29191/424, -13601447/25440, -58987/848, 
  15313/159, -13257/848, 21579223/152640, -971/3392, 24191/424, 
  -1658161/30528, -77/53, -3/2, -4413/212, -201/20, -35354011/101760, 
  -29191/212, 91813/424, 289/106, 193/20, 7309271/10176, -91813/424, 
  -38262763/101760, -258027/848, 566429011/1526400, 10777157/8480, 77/53, 
  215289/530, -1219011/4240, 29191/212, 1292361/4240, -537405701/254400, 
  -598039/848, -106957/265, 614810921/508800, -77/106, 366767/1696, 
  15687/848, -71131/7632, -62778631/152640, -29635/424, -68857/1272, 
  48112973/152640, 150415/636, -1500795/3392, 60915/212, 7477321/19080, 
  -101824487/152640, -1632211/3392, -59817/212, -96968075/30528, 
  -3236881/12720, 655580953/152640, -5/2, 56689/265, 115102553/30528, 
  4748531/12720, -706711693/91584, 143233/4240, 224146187/91584, 
  -2303529/4240, -385039/5088, 728133/2120, 350705/1696, 9783/106, 5, 
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  -204327/1696, -14503/424, -2105/53, 118851/848, 73973/1696, 5/2, 
  -68465/848, 18973/848, -5/2, 35063/848, 27575/212, -175627/848, -54991/848, 
  117421/848, 67/10, 21/10, -257/10, -7736/53, 7557799/5088, -486183/4240, 
  -35238851/38160, -5/2, 618429/848, 7841845/7632, -217545/848, 
  31672753/25440, -1389769/4240, 193309/106, -1006097/8480, 3644563/127200, 
  -320383/1060, -4716253/3392, 174983/1696, -5/2, 30074/265, 22890349/127200, 
  430031/1696, 4582225/3392, -16626031/63600, -120407057/10176, 
  -39029107/25440, 8466411/4240, 540683/2120, -1498857343/457920, 
  15826481/6360, -39865/96, -139131739/50880, -5736457/15264, 13156929/16960, 
  318555/848, 3079419/8480, 1151387/5088, -233445/848, -10507591/7632, 
  130527/848, 444443629/152640, 1302123/2120, -3764023/1696, 263803/8480, 
  -800969617/254400, 2762319/16960, 1114109/4240, -2759/4, -15101943/4240, 
  -2021035/3392, -7330351/12720, 1947373/25440, -185717429/30528, 
  12697737/4240, 2653049891/152640, -3151029/4240, -324664731/16960, 
  20259/424, -42694767/42400, -11063669/16960, -45802037/16960, 
  15959973/10600, -1220839/4240, 450353521/763200, 34380511/16960, 
  -10367401/25440, -914852117/381600, 1329361/2120, -562422211/763200, 
  -94991033/50880, -1336121/1060, 186890669/76320, 722690/477, -425099/4240, 
  -102558113/38160, -4670527/6360, 4237763/1696, -427733759/30528, 
  1545139/3180, 2332752919/152640, -2457923/4240, -556997663/57240, 
  1845593/25440, 3537179/7950, -35705977/50880, -11288465/2544, 
  13468007/31800, -4321001/12720, -409459103/254400, 89975261/30528, 
  -696347/424, 212380013/286200, -9/2, -9/2, -9/2, -9, -9/2, 4/3, 9/2, -14, 
  -179/12, 52/3, 71/2, 52/3, -14, 4/3, -14, 104/3, 71/2, 3/2, 3/2, 5/4, 
  233/48, -17/8, -335/48, 73/12, 107/12, -125/12, -257/12, 159/4, 77/4, 
  1861/96, -233/48, -465/32, -19/2, -3/2, 73/12, -125/12, 159/4, -1861/96, 
  -465/32, -2879/192, -1651/64, -3/4, 121/24, -33/4, 385/24, 509/192, 
  118366985/1770624, -101/192, 43/192, 59310955/590208, 11060209/590208, 
  365/192, 325/64, -73849/2544, 11060209/590208, -325/64, 6, 6, -6, -6, -6, 
  6, -3, -3, 3, 3, 3, -3, -12411113/442656, 38824471/885312, -12, -63/4, 
  -1303/32, -1555/96, -209/4, -489/16, -1265/48, -209/4, 229/6, 
  445627343/1770624, 36444893/1770624, -6, 6889217/147552, -2848059/49184, 
  -363157/5088, -11979761/147552, -57/2, -32024627/1770624, 
  -74546545/1770624, 21, 42, -233931/848, -509/96, 509/96, 101/48, 605/16, 
  100673/212, 509/48, -210389315/1770624, 236617307/1770624, 2687/48, 
  752650/4611, -9937823/36888, 2147739/24592, 1539217/5088, 9661163/36888, 
  57/2, 52500251/1770624, -83191067/1770624, -52500251/1770624, -145/8, 
  -23632501/295104, 17/24, 49/4, -17/4, -19063067/55332, -8844281/442656, 
  129/4, 48, -3359/48, -282998737/442656, -188442949/1770624, -101/48, 
  9091315/147552, 40/3, -713079/1696, 181/12, 104171/212, 17/4, 
  -76343905/221328, -129/4, 122509/424, -509/48, -91840181/1770624, 
  -33067/318, -2543/48, 1651487/221328, 1348731/98368, -79092985/442656, 
  2203945/221328, -5037531/98368, -177/4, 1220515/30528, -138796315/442656, 
  -11844521/590208, -5814737/221328, 224847907/885312, 174955681/1770624, 
  -4639819/61056, -477001/5088, -7527713/61056, -505/24, -24, -24, -88, 42, 
  -130729385/295104, 1568345/5088, 152235095/147552, 132057353/295104, -27/4, 
  -26022179/590208, 823043/5088, -12607283/295104, 827961511/1770624, 
  -1742083/5088, 27637739/1770624, 7142671/61056, 343593/1696, 
  13122233/61056, 24292181/55332, -3, 5/2, 3, -11323/192, -70271273/295104, 
  -1061/192, -38214335/590208, -11060209/196736, -269/192, 245/192, 1323/32, 
  -311748653/1770624, 205959763/1770624, 103/96, 143/4, -509/64, 307/192, 
  -108528379/1770624, 113711393/590208, 237/64, 8693/192, 247/96, 
  713079/1696, 8370541/590208, -2687/96, -104171/212, 17/4, -997/36, 
  -11765/288, -997/36, -233/24, 671/24, 569/48, 31759885/196736, 43/64, 
  -10240083/49184, 11060209/196736, -581/48, -723/64, -277/16, 
  1418939/442656, -9879793/196736, 373/16, -6, 121/4, 79/4, 1121/12, 
  -1241/12, 701/64, 377/48, -20831539/30528, -115389305/590208, -101/64, 
  259/48, -653/48, 277934797/442656, 365/48, 161/8, 39/4, 195/4, -75/4, 
  -67/288, 39/4, 158170981/1770624, -2283828499/1106640, 2928415657/1106640, 
  -186295411/73776, 87149527/13833, 15999397/13833, -206994109/55332, 
  697824823/491840, -60249919/50880, -342115127/4426560, 56290819/50880, 
  140952311/18444, 15643607/6148, -31393267/6148, -15631311/3074, 
  16100839/13833, 186295411/73776, -60249919/50880, -32731943/27666, 
  56290819/50880, -653/32, 141090641/18444, 75872675/55332, 
  -1973767053/491840, -141118307/18444, -8533/192, -33709/1044, 
  162582179/1770624, -2204527/49184, 88934543/885312, 7166563/110664, 
  2557/96, 156874051/590208, 230991679/1770624, 2939/192, 21246637/196736, 
  -313515787/1770624, -107022685/1770624, -64748183/590208, 85/8, -8447/192, 
  -1719179/15264, -5480749/55332, -971167/295104, 8699959/110664, 
  10945973/885312, 2879/96, 21642229/110664, 93787445/885312, 2209/192, 
  3243085/20352, -114390233/1770624, -8345557/147552, -784511/6784, 371/8, 
  66234377/885312, -5480749/55332, 33865631/1770624, 8447/192, 
  21642229/110664, 149766719/1770624, 2209/192, 29585815/885312, 
  -240310235/1770624, -51876253/885312, -6407609/61056, -73576271/442656, 
  217/32, -403/16, 25073/1920, 30709/1920, -10957/160, 217/32, 25073/1920, 
  -10957/160, 1627/160, -3927/640, 38519/1920, -1745/48, 65/32, -3927/640, 
  -1745/48, 509/96, -72894011/1770624, 11947/159, 11033429/73776, -305/48, 
  1029359645/1770624, 101/96, -130267/5088, -3011/192, -112326323/1770624, 
  204925/1696, -3319337/33408, 196712891/1770624, 18474445/61056, -997/96, 
  33868849/590208, 567816829/1770624, 5485/192, 143144803/442656, 
  -1322423/2544, -240859697/590208, -138847351/442656, 738419/1696, 
  26764057/1770624, 204925/1696, 55268999/885312, 3011/192, 33868849/590208, 
  57004679/1770624, 5485/192, 33540661/885312, -1594981/5088, 1034963/27666, 
  -309798601/885312, 317177/848, -509/96, 101/96, -20779/576, 
  -61037345/1770624, -18117163/590208, -9445/288, -4259/96, 71941/1272, 
  -60217193/221328, 1252698221/5311872, 5089/288, 137622929/1770624, 
  -57806687/885312, -5778971/295104, 5993/576, -43/96, -16740961/295104, 
  -365/96, -1861/96, 3308272907/5311872, 1162678199/590208, -429/32, 
  -2026725497/5311872, -3844535/98368, 233/48, -17395141/98368, -267/32, 
  349/32, 3/2, 2119802963/5311872, -211/8, 11, 81/8, -62791145/49184, -91/24, 
  348556609/110664, -47/8, -1025346967/885312, -19292193/33920, 
  63073953/49184, 15052753/98368, -490862453/885312, 19470273/33920, -77/212, 
  -6701/1272, -4, 16909/1696, 545586869/110664, 2709389681/3541248, 
  92091859/73776, -10069281131/4426560, -22417454027/8853120, 
  17786499181/8853120, 3271/636, 23555876/4611, -693327239/221328, 
  -1914729143/983680, -35267723/9222, -2617/96, -238393225/1770624, 
  -17279377/1770624, 304187/7632, 19596755/1770624, 581/96, -43/192, 
  -79132415/1770624, 301295/590208, -365/192, 119/6, -8453417/295104, 
  11060209/295104, -47281525/295104, -3/2, -152049205/885312, 
  -11650417/196736, -55/3, -277/16, 641935/5088, -11060209/147552, 221/16, 
  -3/2, -355/96, 2241/160, -1241/32, -3259/48, -1943/48, 303/32, 1843/480, 
  -3035/96, 287/6, 3109/24, -509/192, 15159569/442656, 146913/1696, 
  -23960435/1770624, 101/192, -377/96, -12428723/590208, 172828879/1770624, 
  1165/96, -509/96, 2925013/885312, -294247/1272, -442153015/1770624, 305/48, 
  -49130885/98368, -101/96, 394471/1272, 244/3, 5, -5737/48, 5863/48, 
  -427/48, -3359/48, 43/48, -523/48, 541/16, 957361/848, 569/48, 2171/48, 
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