{{1, -1, -1, 3, -3, -3, 0, 3, 2, -7/2, -5, -2, 7/2, 2, -2, -2, -1, -1, 1, 
  4/3, -13/3, 3, -9/2, -1, -1, -4, 1, -5/3, 1/6, -2, 0, 4/9, -4/9, -2/9, 
  26/9, -3/2, 2/9, -77/36, -4/9, 4/9, 0, 1/2, 1/3, -1/3, 1/3, -3/2, 41/12, 
  3/2, -9/2, -19/36, -2/9, -7/9, 1/9, 71/36, -17/36, 3/4, -1/9, 1/9, 5/9, 
  -5/2, -17/36, 5/2, -2, -77/36, 23/36, -10/9, 89/18, 3/8, 17/36, 5/18, -5/4, 
  -1, 1/3, -5/9, -13/18, 5/9, 7/18, -239/144, -3/2, -95/36, -43/144, 19/18, 
  3/2, 45/16, 1/3, 163/144, -17/36, -217/144, -19/9, -239/144, -3/2, -95/36, 
  -13/36, -17/18, 3/2, 45/16, -4/27, 7/72, 113/72, 8/9, -23/36, 4/9, -77/72, 
  -7/9, 7/9, -1/9, 19/288, -583/96, -8/27, 3/2, -265/192, 427/576, -371/576, 
  -19/27, 19/288, -295/96, -265/192, 427/576, -371/576, 0, 0, 0, 0, 0, 
  85/108, -73/72, -1237/432, 115/288, -55/108, 41/36, 5/36, 85/108, -155/216, 
  -1237/432, -245/288, -55/108, 41/36, 5/36, -143/108, 8/9, 65/48, -32/9, 
  1423/288, 37/96, -4, 43/8, 1/6, -5/9, -23/36, 5/9, 17/36, -1/9, -7/72, 
  -3/2, -119/96, -161/72, -1901/288, -4/9, 3/2, 21/8, 1, -305/192, 529/576, 
  -157/192, -923/1152, 881/576, -19/54, 443/288, 593/96, 109/192, -329/128, 
  -49/128, 91/64, -265/384, -9/64, 121/384, -89/576, -85/576, -1001/576, 
  33/16, -15/128, 0, 5/2, -7/9, -4/27, 3/4, 7/9, 5/12, 619/288, 2/3, -31/144, 
  -1375/576, -2/3, 113/144, 137/576, -71/72, 37/54, -2677/1152, -10091/2304, 
  -7/4, -91/108, 9065/2304, 7211/2304, -1649/864, -9923/2304, -817/288, 5/54, 
  7285/2304, 23/8, -997/1152, -35/18, 383/2304, 7/18, -11/8, 109/256, 7/18, 
  1/54, 1445/1152, 2239/2304, 85/432, -1091/768, -2239/2304, 83/36, 
  1031/2304, -179/96, 37/54, -1813/1152, -677/288, -7/8, -25/36, 931/256, 
  6727/2304, -1649/864, -607/128, -1033/288, 5/54, 5557/2304, 7/4, -997/1152, 
  -4381/2304, 383/2304, 7/18, -9/8, 109/256, 7/18, 235/108, -3433/864, 
  701/288, -5/2, 2857/1728, 649/576, -68863/6912, 4003/1152, -10397/2304, 
  -37/96, -14899/6912, 19525/6912, 719/256, -43/8, 1553/1152, -43/108, 
  89/288, 17657/9216, 103/432, 1291/4608, -1693/1152, -35/144, 1483/9216, 
  37/36, 103/108, -41/72, -761/288, -565/144, 119/864, -2/27, -175/256, 
  -26561/13824, 3/8, -7901/4608, 12097/9216, 29/512, 461/1728, -409/576, 
  119/576, -19/72, -103/108, -13/72, 77/24, 247/72, 1613/576, -7975/1728, 
  -153/128, 227/1728, -311/1152, 815/1728, -371/512, -275/576, 487/3072, 
  -4/3, 1283/1152, 319/1152, 1955/576, -4231/1152, -5/128, -17657/9216, 0, 
  1693/1152, -4/3, 53/24, -325/1152, -31/108, 499/864, 10931/3072, 8275/3072, 
  199/432, 16385/13824, -2339/1536, -863/384, -35/144, -9973/9216, 
  -7733/9216, 25/36, 25/36, -7/18, -15/8, 47/144, -17/6, -61/96, 3297/1024, 
  -1415/576, 1411/27648, -989/1152, 117/32, 293/864, 89/9, -8629/6912, 
  7231/27648, -22253/6912, -81/32, -63751/13824, -24467/3072, -86249/27648, 
  4613/4608, 8945/2304, 7/18, 31/108, -73/108, -343/432, -35165/9216, 
  -8269/2304, -2/9, 19721/13824, 19645/3072, 37189/9216, -125/864, 
  120851/27648, -21/16, 2765/1728, -46921/13824, -145/1152, -7/18, 
  76429/13824, 29423/3072, -25/32, 47/144, -41/288, -15289/3072, -74941/4608, 
  -119/288, -3007/1728, -93191/27648, -1415/576, 27335/9216, -2285/1152, 
  -14329/2304, 31/16, 293/864, 40333/13824, 188785/9216, -8629/6912, 
  29231/4608, -22253/6912, -57/32, -63751/13824, -37087/3072, -86249/27648, 
  2135/1536, 8945/2304, 7/18, 73/108, 1693/1728, -401/864, 763/1152, 
  62543/9216, 97/108, -35345/3456, 21791/3072, -103/576, 29509/4608, 
  -457/384, -5237/864, 54413/13824, -54317/9216, 60535/3456, -4243/3072, 
  -216179/9216, -12937/6912, -79813/3072, -42563/2304, 33637/2304, 
  591781/13824, 153389/9216, 74855/13824, 9859/13824, 10543/4608, 
  -116653/6912, -35737/2304, 210499/13824, 8497/1152, -6221/1728, 491/36, 
  52057/6912, 196511/9216, 36203/3072, 6619/2304, -75181/4608, -37/128, 
  -127081/6912, 134279/3072, -33461/3072, 99217/4608, -32585/512, 98425/4608, 
  361/64, 177841/9216, 616631/6912, 12553/768, -30875/2304, 204403/4608, 
  -23489/4608, -269941/9216, -129/32, -82061/1536, -135697/9216, 921601/9216, 
  307933/4608, -282325/9216, 282325/9216, -41/216, 797/576, 2417/1024, 
  113/864, -3185/4608, -245/128, 25/96, 59/1024, 61/144, 19/27, -959/576, 
  -2411/1152, -1, -1/3, 911/384, 2027/1152, -137/96, -257/64, -2497/288, 
  71/96, 1495/576, 2, -2/9, -2915/2304, -1241/1152, -26693/13824, 9/8, 
  -11357/4608, -5/4, 14257/9216, 157/512, -19/192, -143/128, 6289/2048, 
  -1283/864, 24851/9216, -507/256, 7/6, -9269/18432, -67/576, 131/108, 
  1237/1728, -18631/2304, -207917/18432, -3857/1728, -13843/4608, 
  -26521/9216, 839/1728, 277123/27648, -1727/576, 16675/3456, 414307/27648, 
  46675/2048, -26341/6912, 675815/55296, -53795/3456, -138347/13824, 
  -14915/768, -223999/27648, 3985/512, -1331/1728, 953/288, 20755/4608, 
  757/1728, -29705/9216, -59197/18432, -277/576, -83/6144, 3361/432, 
  -87683/9216, -137957/6144, -38401/3456, -456403/18432, -5117/576, 
  347641/27648, 42383/4608, 26517/2048, 22789/1152, -5/128, 86101/18432, 0, 
  -109627/18432, 28941/1024, -517981/18432, 25231/2048, 452503/6144, 
  1128217/18432, -31/216, 155/1728, 35641/18432, 2417/1024, 1/32, 
  23953/27648, 9277/18432, -245/128, -1/432, -6559/18432, -3811/3072, 9/32, 
  1587/2048, 11/24, -7/36, -701/1728, -33979/9216, -19471/6144, -1, 11/108, 
  103/1152, 7937/2048, 11279/6144, -227/864, 56345/27648, 19183/9216, 
  -1217/864, -186463/55296, -493/192, 82877/27648, 29423/6144, 39/16, 
  445/1728, -17389/6144, -1749/1024, -12691/6912, -245381/55296, 
  -14521/13824, -13061/3072, -17/8, -18331/9216, 12115/6144, 13133/6144, 
  445/512, -1099/9216, 7/36, 31/108, -4031/3456, -42241/18432, -1223/1728, 
  3119/1536, 96337/18432, 23/64, 851/4608, -16661/6144, -73/576, 
  -21647/18432, 7/36, -47/36, 103079/27648, 121129/18432, 1, -31/192, 
  48691/13824, -34459/27648, -97993/18432, 989/1728, -118351/27648, 
  -234035/55296, 161/576, 129161/27648, -457/576, -5237/1728, 47629/6912, 
  15079/2048, -5125/2048, 8149/768, 87019/13824, -42055/9216, -18767/6912, 
  -119701/13824, -4945/384, 33637/4608, 20125/1152, 126733/18432, 2947/27648, 
  -1385/1536, -34303/27648, -116653/13824, -57877/9216, 33389/3456, 
  8497/2304, -31/216, 1883/1728, -3443/6144, -4/9, 127/864, -37351/27648, 
  52417/18432, 4/9, -23/144, 99/2048, -13301/6144, -41/144, -47231/13824, 
  5603/4608, 823/432, 14317/1536, -4037/4608, -103/108, -129257/27648, 
  -37/192, -355073/27648, 1095571/55296, -55/2048, 956453/55296, 
  -281665/55296, 115159/6912, 194629/27648, 17803/1152, 2751019/55296, 
  14357/2304, -5/384, 1881/2048, -17657/9216, 0, -3057/2048, 1693/1152, 
  821/27648, -12091/18432, 79871/55296, 1145/1152, -43/16, -1677451/55296, 
  1891/18432, 3418621/55296, 186281/6144, -361/18432, 361/18432, 1, -1, -1, 
  1, 1, 0, 7/9, -7/9, 16/9, -23/18, -1/9, 34/9, 5/3, 3, 1, -35/6, -35/6, 
  -16/9, 37/36, -16/9, 37/36, 1, 1, -2, -1, 1, 1, 1, -1, -299/144, 289/144, 
  -51/16, 947/432, -1807/432, -163/144, 11/9, -11/9, -43/9, 59/18, 4/9, -4/9, 
  3, -2, -13/2, 2, 16/9, 49/18, 15/2, 461/54, 5/16, -617/108, 0, 58/9, -5/16, 
  0, -41/16, -515/432, 1525/144, 193/432, 341/144, -253/48, 19/9, -34/9, 
  -32/9, 37/18, 5, -13/2, -25/9, 2, -19/18, -2, -1/9, 1/9, -325/54, 23/108, 
  421/18, -1871/144, 227/144, -565/144, -565/144, -2095/432, -5/3, 19/6, 
  83/18, -73/9, -31/9, 89/18, 5/2, 5/2, -7/18, 44/9, 1, -34/81, 11/12, 
  -179/36, -1/3, 17/6, 13/18, 13/9, -65/12, -10/3, 5/12, -5/12, -23/36, 
  -19/36, -41/36, -43/36, -12, -163/12, -34/27, 11/4, -179/12, 16/9, -37/36, 
  4/3, -4/3, -8/3, 17/3, 16/9, -37/36, 14/3, -85/6, 4/3, -13/3, 3/4, 20/9, 
  -11/3, -25/18, 11/3, -5/6, -1891/288, 83/18, 2137/288, -83/18, -715/288, 
  -13/18, 133/72, -1, 599/96, -649/96, 4933/288, 37/72, 103/36, -1, -53/8, 0, 
  5/3, 71/8, -1333/72, 5/36, 34/9, 0, -25/27, -3695/864, 727/288, 2791/288, 
  113/24, -455/144, 4105/864, 2443/288, -9409/288, -271/48, 34/9, 4/3, 
  -221/144, 31/18, 1237/144, -2095/432, -3/2, 23/18, -1/4, 16/9, -71/405, 
  5293/1440, 757/1440, -281/810, -25/9, -571/240, 25/9, -2017/720, 1597/288, 
  83/72, -9109/5184, 79/18, -1367/576, -79/18, 917/144, 59/64, 79/18, 
  -325/48, 26/9, 1159/1080, 467/960, 1049/2880, -503/1080, 29/18, 22843/2880, 
  -29/18, -82213/2880, 589/1080, 12041/2880, -7591/2880, -3/4, -41/12, 
  -2401/1296, -1369/48, 4825/144, -451/288, 13/18, 737/288, -13/18, -755/288, 
  -13/432, -569/216, 149/48, -31/18, 31/18, -1/2, -127/144, -15/64, 95/72, 0, 
  -325/144, 15/64, 0, -1/4, -215/864, -17/48, 287/144, -5/16, -41/32, 
  -1283/864, 1637/288, 44/27, -19/72, 439/24, -241/288, 145/144, -101/36, 
  2897/144, 1213/576, -7391/576, -4039/864, 0, 299/288, -1793/1728, -5/18, 
  83/36, -67/9, -5/12, -1/12, 128/135, 44/9, -6607/1440, -44/9, 617/1440, 
  -265/96, 427/288, -371/288, 0, 0, 13/27, 83/36, 37/18, 11/4, -35/12, 5/4, 
  -709/1080, -229/320, -30589/2880, -35/36, 17/9, -13961/4320, 5789/2880, 
  -3271/320, -35/18, 37/36, -35/12, 137/72, -19/6, 209/108, -44/27, 127/216, 
  137/72, -38/27, 353/216, 4/3, -17/24, -569/216, -34/9, -23/12, 125/16, 
  311/72, 23/12, -1505/432, -13/24, -61/36, -419/216, -73/12, -1, 335/432, 
  23/4, 169/72, 43/36, -7/4, -143/72, 1/2, 197/432, 2081/864, -457/128, 
  -3935/288, -6913/1152, 835/144, 859/288, -8035/864, 457/1024, 4789/864, 
  -53119/9216, -535/288, -6863/1728, 3, -58517/6912, -576299/18432, 
  -1313/576, -27755/4608, 7/4, -1/2, 859/288, 1727/864, -4411/864, -689/288, 
  679/64, -25187/2304, -855/1024, 9109/4608, -126743/55296, 17/4, -315/64, 
  17/36, 1619/192, -17/36, -2491/576, -2/9, -4103/1152, -21/4, 685/144, 
  -161/36, -151/48, 21/4, 69/8, -613/864, -24461/1152, -5971/128, 203/216, 
  -1463/576, -1645/288, 14851/576, 8321/576, 6359/128, 25453/1152, 
  332975/9216, 1075/576, 556801/9216, 101545/9216, -313/864, -29917/2304, 
  -54025/2048, -809/216, 132737/9216, 61337/2048, 2237/144, 27227/9216, 
  -145/18, 28613/2304, 318905/18432, 2273/3072, 8561/768, 0, 19123/2304, -1, 
  -3385/864, 217445/6912, 2488085/55296, 5971/128, 6787/432, 902285/27648, 
  6590065/55296, 787/864, 94579/9216, 1579/144, -4153/864, -301/576, 
  57239/1728, 3/2, -109/128, -1/2, -61087/2304, -1795277/55296, -337583/9216, 
  162413/9216, 37895/4608, 307/96, 437/1728, 49421/864, 9/4, -45007/2304, 
  -101545/9216, 43/2, -2561/576, -2, 1/4, 6, 1/2, 4, 361/288, 815/216, 
  -165/16, 73/144, -515/288, 1333/288, -5/144, -17/18, -655/432, 1087/864, 
  -8473/432, 135/8, 42529/3456, -81/128, 59/576, 527/432, -241/54, 
  -10313/864, 3229/144, -1865/1728, 13561/1536, 527/432, 4229/864, -5435/864, 
  -647/144, 28211/1152, 56491/4608, 176641/27648, -2419/3072, 379/4608, 
  11723/1728, -2111/64, 7177/576, 4025/55296, -38599/9216, 25849/1536, 
  122773/3456, -298181/6912, 1703/576, 7/48, 1111/192, -7/48, -10655/576, 
  41/432, -1901/1152, -9/4, -31/9, 4807/1152, 481/72, -2263/1152, 9/4, 
  89/128, -457/72, 229/96, -851/108, -295/192, 3205/96, -19351/576, 1345/192, 
  2221/384, 5/32, 299/576, 164849/2304, 2225/864, -1423/96, -1099/96, 
  8387/288, -24019/864, 781069/6912, -487/12, 10342601/165888, -644465/82944, 
  1759/576, 63/32, 76831/864, -18811/768, 1801109/20736, -41030977/165888, 
  -4443391/165888, 769/192, -3617411/20736, 124847/5184, -847/864, 917/27, 
  -709/864, -1753637/13824, -3095/216, 808079/27648, 3397/288, -28055/3456, 
  -4972133/82944, 1687655/13824, 363961/41472, -51983/3072, 10591433/165888, 
  -11675/4608, -390205/41472, 4049/1536, -10267/288, -2291329/20736, 
  2242801/13824, 38289773/165888, -674747/27648, 12044761/82944, 
  1353023/41472, -20183389/82944, -4344625/165888, 2245249/20736, 
  -596887/20736, -15278047/55296, -2277445/41472, 596887/20736, 17587/7776, 
  -20789/3888, -265/108, 3079/864, -22/135, 29/144, 113/1440, 25/144, 
  -421/480, 1591/810, -7393/2880, 37943/2880, 4097/288, -2509/144, 
  -20063/12960, 1789/288, 1/320, -7637/576, 15161/2880, 7693/576, -3847/576, 
  191/64, -127/64, 0, 23/16, -264635/82944, 273221/41472, -13279/9216, 3/2, 
  5291/3456, -1014991/248832, -19/9, 187787/27648, -29/18, -29651/6912, 
  -9127/13824, -2/3, 28223/6912, 757/1152, 5797/19440, -42691/77760, 
  -1657/135, -17191/12960, 61249/8640, 2918911/82944, 39307/38880, 
  23221/6480, 8, -124219/38880, -66031/2880, -8, 2731/240, 459643/25920, 
  -2639/270, -20147/1728, 2949781/110592, 23710217/3317760, -17100649/663552, 
  56399/24576, -4475441/1105920, -9234061/1658880, -24709379/1105920, 
  -1051447/124416, 983/96, 233/9, 2186797/110592, -99859063/3317760, 
  -19271785/663552, -180983/221184, 22538801/1105920, -8279699/1658880, 
  165285863/3317760, 8479/2592, 17513/12960, -15697/1728, 5548/405, 
  40477/2880, -629005/82944, -37/8, 18655567/1658880, -2578423/1658880, 
  987409/1105920, 71034913/3317760, -535601/552960, 298681/207360, 
  37651663/1658880, 2165/216, -119/864, 671/288, -943/864, -135/16, -25/9, 
  1381/1152, -5/8, 497/270, 55/18, -673/480, -55/18, 4909/1440, -679/540, 
  -1111/1440, -20479/1440, -337/72, 53/9, -12017/4320, 277/96, -43/120, 
  -1085/192, -5831/360, -2735/288, 5755/576, -139/64, -1277/576, 19/4, 43/72, 
  -115/16, -125/24, -264635/82944, 67739/4320, -685/108, -175979/18432, 
  3763/1728, 454453/27648, 20455/2304, -109933/2880, 2134763/92160, 319/6, 
  25729/6480, 14513/5184, 77/90, 16177/2880, -225805/82944, 11455567/1658880, 
  48411443/3317760, 78240673/3317760, -37795/331776, 1418627/82944, -171/64, 
  -1483/1152, 39/16, 35/12, 13/18, -7/9, 13/36, 7/9, -13/12, 41/16, -727/144, 
  1309/432, 935/432, 721/432, -247/144, 55/16, -809/432, 175/36, 31/18, 
  -2533/432, 989/216, 1831/432, -7/36, -112/27, 89/54, -457/1296, -1955/72, 
  2065/72, -7/8, 569/144, -565/432, -601/432, 23/9, -67/72, 247/144, 
  -685/216, -3/8, 791/432, 1289/144, -4/9, -4225/432, -113/72, 599/432, 4, 
  -197/72, 4/9, -457/512, -23365/4608, -8353/1152, -5, 6461/3456, 6461/864, 
  3263/3456, 3263/864, -197/1728, -197/432, -1015/1728, 10123/2304, 
  47659/4608, -1393/864, -289/72, -170071/18432, 1021/288, -32467/18432, 
  -271/192, -43/108, -2717/864, 802897/55296, -17/8, 271/288, 521801/55296, 
  -270601/55296, -37/144, 41575/6144, 67/32, -13/108, -60811/13824, 
  -243571/110592, -43/108, -920119/55296, -2454427/55296, -323/288, 
  1667/6144, -131/288, 7327/864, -502691/55296, 3475/512, 710839/55296, 
  32999/4608, -6143/55296, 893/1536, -39887/36864, 360745/18432, 
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  -17801/27648, -1, 19123/1536, 579/128, -293/864, 10259/1728, 9419/1536, 
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  -4044589/82944, 9243935/55296, -5454215/41472, 5/128, -151/36, 0, 
  436643/18432, 1825/1728, 1/3, -881/3456, -337/64, 193/1152, 947/192, 
  97/384, 8/27, 39/8, -23/16, 34199/576, 1123/576, 2336981/41472, -337/48, 
  2165/576, -103/8, 1943/3456, 32085089/165888, -22770505/165888, -283/216, 
  41/4, -8155/2304, -379/216, -1825/1728, 2183/1728, -31/12, 257/864, 
  -5543/3456, 23/36, -931/1728, 4403/2304, -239/192, 198797/1728, 
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  -1691/768, 1207/192, 11227/2304, -5755/2304, -705925/18432, 2629513/55296, 
  915107/4608, 1721/768, 77/256, 187/128, 1057/1728, -1646933/41472, 19/96, 
  26699873/82944, -42161/13824, -469/576, -7921187/27648, 151/576, 8/27, 
  1549373/41472, -1507565/41472, -11/8, -653/432, -9461147/27648, 
  12312919/55296, 1123/576, 70315483/165888, -343/48, 2165/576, 
  1434029/41472, -23/8, 1943/3456, -11961611/55296, -22770505/165888, 
  -283/216, 1297/216, -8155/2304, -379/216, -1057/1728, 3961277/20736, 
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  32744173/82944, -271/576, -6031253/41472, 37468651/82944, 3001/144, 
  58607897/165888, -7170661/18432, -13640267/55296, -1570991/4608, 
  -3292589/41472, 11027707/165888, 2498957/41472, -6257189/41472, 
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  -6746501/18432, -2333105/27648, 450557/55296, 10282105/82944, 
  -1827955/55296, -77/256, -2581783/41472, 1902641/27648, -451/576, 
  -3581/288, 617/576, 3581/288, -635/576, 2363/3456, -23368361/165888, 9/4, 
  -219/128, 22361093/165888, 9001/1152, 2/9, 24390817/165888, 
  -31461961/165888, -24741989/165888, -1/8, 31069129/165888, 1271/432, 
  28927/1152, -151/18, 467/432, -24391/1152, -7/12, -1511/1728, 
  24656609/82944, 2730181/165888, -263/432, -27415661/82944, -2837/576, 
  -26032625/165888, 62154343/165888, 32697821/165888, -33117403/165888, 
  -313/192, -2267/144, 151/9, 39/64, 16003/1152, -187/576, -24736697/165888, 
  -295975/5184, 32769821/165888, -1128191/6912, 5/64, -151/18, 0, 
  6836275/165888, -107/108, -1669/6912, -1606145/41472, 2842643/10368, 25/8, 
  523/432, -1003/576, 28465501/82944, -10326767/41472, -3493/1152, 
  8134979/27648, -834539/3072, 661/1152, -7815599/27648, 863/1152, 
  -23875363/41472, -11/2, 1531919/41472, -1491521/41472, 33935791/27648, 
  -857333/41472, 11291167/27648, 20725/6912, 19/8, -11163607/20736, 
  -86627/6912, -107/216, -1448333/41472, 107/108, 45245/6912, 1690253/20736, 
  -33514231/41472, 29/16, 4025/864, -34038265/82944, 38298139/82944, 
  -394105/5184, 115907/384, 1800167/20736, 4068035/13824, 5062297/4608, 
  2746667/10368, -2265689/41472, -71718605/82944, 1266937/10368, 
  -23445667/41472, -23115799/41472, -1386175/4608, 3278077/41472, 
  34417925/41472, -77/256, -111923/6912, -2009419/9216, 942301/20736, 
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  -18396799/55296, 18396799/55296, -1097/1728, -34889/2304, -25015/1152, 
  -601/1728, 4637/2304, 25015/1152, 19/192, 12781/1152, 5/72, 25/72, 
  -841171/6144, -905297/6144, 25/4, -1981/3456, 16693765/165888, 
  28053743/165888, 2051/1152, 892789/13824, -1523/1152, 2039/1728, 
  -1284643/27648, -35705111/165888, 18029/5184, 2331299/82944, 
  -3029809/18432, 91/108, 32973961/165888, -9305/9216, -149/108, 515/576, 
  -940823/41472, 2424581/82944, -113/6, -691/1728, 25958165/82944, 
  -8642585/82944, 53/27, -9575533/27648, -15/32, 50731573/165888, 
  10841437/82944, 33416473/55296, -133815551/165888, -3719953/20736, 
  8610487/41472, 570359/9216, -79194703/82944, 56619289/165888, 
  12140729/165888, 6088493/41472, -1115765/6912, 401/48, -13914979/55296, 
  12301547/55296, -254425/10368, -152705/82944, -166920901/165888, 
  5354257/27648, 153420731/165888, 16528145/165888, 77/128, -461795/41472, 
  5498923/10368, -169/192, 17857685/165888, -922847/20736, -5507/1152, 
  1565/3456, -1049467/41472, 1201117/41472, -1345/384, -15815429/165888, 
  1187/384, 25/72, -16954189/165888, -1298309/41472, -605603/82944, 
  -1981/3456, -1261489/13824, 26736155/165888, 2051/1152, 22168831/82944, 
  -1523/1152, 2039/1728, -807311/82944, -1117673/6144, 18029/5184, 
  -10563311/55296, -3029809/18432, 91/108, 32331913/165888, -9305/9216, 
  -149/108, 433/1728, -12018395/82944, -803831/18432, -2932451/82944, 
  -733/3456, 5141005/82944, -2281297/41472, 2717/1152, -11288141/165888, 
  1463/1152, 7384913/165888, 26904337/55296, 12594071/165888, 
  -17613391/82944, -42505279/82944, 36073/1296, -29421731/82944, 
  135506699/165888, 16515365/27648, -119153167/165888, 25337825/165888, 
  2133385/165888, 2747767/82944, -2757839/55296, 3301639/18432, -430439/6912, 
  -8658731/20736, 4141591/82944, 3945541/10368, -85194923/82944, 
  1573859/55296, 30839/10368, -474269/13824, 2483083/55296, 1/18, -1/6, 1/6, 
  -1/18, -2/27, -1733717/82944, 1136321/82944, -21/4, -7/54, 34298225/331776, 
  -27581/1296, -1/8, -3036217/36864, 31/72, 1572437/82944, -1387787/41472, 
  15/2, 2/27, -33487217/331776, 50590729/331776, 3036217/36864, -3/8, 
  1514837/82944, -3, -43529993/331776, 3/4, 265/1728, -659/864, -31/12, 
  1103/1728, 671/432, 29/6, -191/1728, 167/96, -77/192, 2/27, -361/1728, 
  -503/864, 77/192, 2085317/82944, -33290033/331776, 329265/4096, 34231/6912, 
  -12918275/110592, 9/4, -361/1728, 5407/6912, 1007/384, -179/864, 
  -19529/6912, -29/6, 77/192, 77/96, 1711781/82944, -32384513/331776, 
  335281/4096, 31099/82944, -32290249/331776, 35/4, -5/256, -5/128, 0, 0, 
  -1030805/82944, 26339/1296, 89/6, 21/4, -107/216, 461/6912, -335/18432, 
  47/144, 1295/1152, -14363/27648, -14143/6144, -47/144, -6433/3456, 
  -32359/18432, 10691/4608, 1645/1152, 48209/18432, 61/288, -5/8, -4/27, 
  460171/27648, 2/27, 5508865/165888, 3/4, 2905591/165888, -3/8, 1/2, 
  1578581/82944, 96169135/331776, 22736885/331776, 4513805/55296, 
  -24614465/82944, -5/8, -67/108, 33825509/331776, -160745/41472, 269/216, 
  -1452629/82944, 107/216, 6392285/82944, -12507433/331776, 655/192, 
  -365/1728, -4516603/20736, 16192331/165888, -857/64, 85/108, 
  83360153/331776, -3692567/36864, -59/192, -16089941/110592, -6099989/41472, 
  -2821/288, 15560095/41472, -277427/110592, -1716347/41472, 
  -20726207/331776, -127661737/331776, 4338611/41472, -910529/82944, 
  -378335/331776, 2316277/331776, -10076567/55296, 31485383/82944, 
  -7347137/82944, -175398733/331776, -28003715/82944, -6375881/82944, 
  11774465/331776, -24317/9216, 4043417/20736, -32767187/331776, 23201/9216, 
  -17266841/165888, 2814679/36864, 29074697/165888, -9059/4608, 
  -153768037/331776, 2664587/331776, 14739703/82944, -64365121/165888, 
  13101025/165888, 45719447/55296, 8007031/27648, 202339/165888, 1811/1536, 
  5976805/331776, -6079/3072, -1193213/27648, -3157/3072, -1592317/82944, 
  6956939/165888, -10907/3072, 10907/3072, -107/216, -215/864, 
  -1097417/18432, 13097891/82944, 87/128, -1108469/41472, 52407745/110592, 
  -13240265/82944, -199/128, 133231843/331776, -139382561/331776, 379/1152, 
  -125970371/331776, 1592861/27648, -20610167/27648, -15/4, -4/27, 
  1626935/41472, -171310105/331776, 59532745/55296, -81460793/165888, 
  71702371/82944, 3/4, 224428231/331776, 48651115/82944, 6, 1578581/82944, 
  1485869/27648, -514213735/331776, 22736885/331776, -146140963/331776, 
  -24614465/82944, -755/216, -67/108, 215788841/331776, -160745/41472, 
  269/216, -1452629/82944, 107/216, 6687653/82944, 135574507/331776, 
  -103904933/165888, -365/1728, -2379133/20736, -53162927/41472, 
  12767909/27648, 85/108, -148413127/331776, 111853295/165888, -59/192, 
  49327681/165888, -6099989/41472, -2479979/41472, 18661541/9216, 
  12991043/82944, 2349797/10368, 26485795/27648, -11694625/6912, 
  16114573/82944, -4883953/9216, -49327681/165888, 4338611/41472, 
  -35163779/27648, -32280307/41472, -56834075/331776, 247107959/165888, 
  -20713555/331776, 31485383/82944, 21115573/41472, -37363747/110592, 
  -28003715/82944, -6645077/82944, -187598963/331776, 74924885/82944, 
  3358519/27648, 166007875/165888, -67572007/165888, 49398821/331776, 
  -92715533/331776, 10931431/165888, -27840457/20736, -78651451/165888, 
  -14480789/41472, 68446195/82944, -1936175/110592, 23905543/165888, 
  181051639/165888, 85631113/331776, -5386705/41472, 35721821/165888, 
  -5481497/9216, -58120123/331776, 15777347/165888, 11078459/165888, 
  6476647/13824, -24832241/82944, -5850035/20736, 8771765/55296, 
  -8771765/55296, -113/384, -4139/576, -3581/288, 67/192, 539/384, 3581/288, 
  -539/576, 5723/1152, 77/1152, 11/216, -353407/27648, -831721/6144, -15/4, 
  227/576, -8399195/110592, 2181289/18432, -605/576, 9311539/110592, 403/64, 
  1358549/82944, 5678753/55296, -30176329/165888, 4/27, 16477457/331776, 
  -60830471/331776, -9312499/110592, -3/4, 1693397/82944, 30592201/165888, 
  17185637/331776, 9/8, 1763/3456, 103685/6912, 21983/1152, -151/18, 
  7123/3456, -43273/6912, -9517/384, -2533/3456, -4405/1152, 47/288, 
  -107/216, -85273/10368, 3962065/13824, 18048283/55296, 577/1152, 
  214667/41472, -1050481/9216, -1319/3456, 25155845/165888, 1817/1152, 
  2014469/82944, -12128731/165888, -135364415/165888, 6264355/110592, 
  59667901/165888, -106022117/331776, -1392623/41472, 22682845/18432, 
  -30646369/331776, -23313427/41472, 541/1728, -7921/768, -265/48, 151/9, 
  -47/1728, 1287/128, 6721/384, -31/192, -187/576, 11101037/82944, 
  23350861/165888, -71096873/82944, 8334409/110592, -126797/82944, 
  -51900637/110592, -31559425/82944, 1001243/768, -14124113/331776, 
  -38172079/41472, 5/128, -2371/576, -151/18, 0, 0, -55297507/165888, 
  140730355/165888, 10289627/82944, -20057197/82944, -8720591/27648, 1/18, 
  1/6, 1/9, 1/18, 1/6, -1/9, -1/6, -1/6, -1/18, -1/18, -145/2304, 
  -3476593/165888, 1048193/82944, -15/4, -2/27, -546121/41472, 
  40476811/331776, -3721/162, 31688387/331776, -35769737/331776, 3/8, 
  -3029015/36864, 1564679/82944, -3407075/20736, 6, 1567217/82944, 
  -42924289/331776, 94736609/331776, -31568885/331776, 19104605/82944, 
  3031063/36864, 1040783/6912, -3, 1513223/82944, -131226205/331776, 
  -13531129/110592, 3/4, 11036767/82944, 265/1728, -2351/1728, -109/72, 
  361/1728, -1705/1728, 1139/864, 181/72, 179/864, 3913/1728, 395/192, 
  -77/192, -77/192, -6092621/82944, 25086977/331776, -841/288, -11/4, 
  351319/3072, -11841797/55296, -451/48, -2787217/82944, 43753855/331776, 
  11935/18432, 7632113/165888, 49934233/165888, -1543/288, 22061/6912, 
  20938321/331776, -119962013/331776, -110821/27648, -2744639/55296, 
  -4543/18432, -6734345/82944, -4765691/41472, -1100837/165888, 
  69946133/165888, -398927/165888, -273391/10368, -10912351/82944, -361/1728, 
  8387/6912, 3277/2304, -1297/6912, -17905/6912, -173/72, 77/192, 77/192, 
  6097841/82944, -29266817/331776, -20299/9216, -1/3, -46307/384, 
  3054875/18432, 11173/3072, 6489977/165888, -9009979/165888, 
  -7109861/165888, -46556105/165888, 9655/4608, -7080163/110592, 
  30966293/82944, 1127399/20736, -3194831/55296, 23429197/82944, 
  -24676139/165888, 281167/10368, -5/256, -5/256, 0, 0, 5566513/165888, 
  -917783/82944, 19/12, -18151117/331776, 1439321/82944, 21378941/165888, 
  36161/3072, -10762939/41472, -4490909/27648, 10907/3072, 21/4, -10907/3072, 
  -3/2, 3/2, 3/2, -1/4, -4/9, 4/9, -13/9, -35/12, 23/18, 35/12, -13/9, 23/18, 
  35/12, 0, -3/2, -5/4, -5/3, 1/3, 13/9, -35/12, -23/18, 35/12, 0, 5/4, 
  -113/18, 89/18, 211/18, -59/9, 169/36, -29/24, 13/18, 85/24, 29/12, 11/9, 
  1/9, -26/9, 35/12, 23/9, -35/12, -13/9, 0, 23/18, -5/4, 0, 55/36, -55/36, 
  -37/12, -5/6, -20/9, -103/36, -3/2, -47/24, 35/12, -35/12, 35/12, 35/6, 
  -23/18, 23/18, 23/18, -1/36, -2/9, 2/9, 1, -1/24, 0, -25/18, 17/36, -5/4, 
  -31/24, -1/9, -17/36, 1, -29/24, 0, -3/2, -3/2, 7/4, 3/2, -1/4, -3/2, -3/2, 
  1/4, -3739/144, 3739/144, 0, 0, 0, -119/96, 4037/288, 173/96, -4037/288, 
  307/288, -3461/288, 86/9, 3821/288, -77/9, -2915/864, 4039/864, -53/32, 2, 
  5/8, 1, -13/6, 13/6, 7/9, -53/24, 2/9, 53/24, 73/18, -25/18, 11/12, -29/24, 
  977/384, 5387/288, -22775/1152, -5387/288, 4961/288, 977/384, -4/3, 4/3, 
  -1/6, -35/8, 7/4, 35/8, 4/9, -103/36, 29/24, -5/12, 13/9, 3619/144, -49/18, 
  -3619/144, 23/18, 23/12, 16/9, 125/18, 0, 1915/72, -305/108, 20125/576, 
  -61/3, 29/216, -2149/48, -35/18, 29/72, -461/96, 244/9, 128/9, 271/72, 
  -28/9, 5/4, 49865/1296, -167/144, 17/36, 1313/288, -2389/864, -1645/288, 
  2639/864, -925/288, 253/96, 238925/10368, -31/288, 17/72, -1801/288, 
  227327/10368, 19/18, 5/18, -35/9, -17/24, 23/9, 17/24, 11/18, 29/24, -28/9, 
  397/576, 8179/1152, -82657/5184, -263279/10368, 31/288, -15745/5184, 
  -235/288, 17/72, -49/18, 131/36, 1/18, -35/8, 73/36, 35/8, 1/18, 5/12, 
  -1/18, 203/576, 169/108, -221015/5184, 253/216, 17375/576, -421/36, 
  100495/2592, -16985/576, -65/96, 17/36, 47543/1296, -361/18, -3017/864, 
  -185/72, -46891/2592, -3, -31/144, 17/36, -13/9, -3/4, 23/18, 185/18, 
  26395/648, -2351/144, 17/36, -11/3, 25/36, -775/48, 1489/432, -185/72, 
  125719/4860, -167551/8640, -61639/8640, -217/27, 85/8, 29/8, -83869/4860, 
  37519/2160, 17491/2160, -1523/144, 1/3, -15611/810, 13111/960, -3521/960, 
  40321/1728, 3683/432, -11/72, 149/18, -8/3, -113/18, 145/36, 143/9, 103/12, 
  -281/36, -103/12, 79/18, -13/8, 175/36, -45/8, -3/8, 49/18, -83/36, -89/36, 
  23/2, -22/9, -23/2, -1/4, -5/12, -49/12, -38/3, -5/12, 3625/1944, 
  -1008167/23328, 409/7776, 3625/1944, 568/81, -281/24, 21/8, 25/8, 179/36, 
  10877309/746496, 7, 169/9, -8886653/186624, 9669221/746496, 
  23762843/746496, 13897/1944, 60305771/4478976, 25503101/2239488, 
  -8900477/746496, 65/9, -17/12, -32/9, -47/6, 55/12, 23/18, 25/8, 
  -10877309/373248, 89/18, 10877309/746496, 63/8, 2611/72, -7366013/248832, 
  7725437/373248, 35/6, 35/6, -35/6, -35/6, -35/3, -35/6, 35/6, 35/6, 
  599/240, -20921/5760, 39671/5760, -35/12, -35/12, 35/12, -12275/5184, 
  1201/240, 43/4, -22199/5760, -43/4, -39751/5760, 7901/2160, 22517/17280, 
  -37067/17280, 461/72, -4, 31/18, -31/18, -55/18, 53/12, 11/36, -53/12, 
  -53/18, 13/9, 59/24, 41/12, -31/72, 31/72, 47/72, 22/3, 37/72, -22/3, 
  49/72, 77/72, 33/4, 373/24, 154111/41472, 90689/41472, -425/72, 
  -36227971/13188096, -36227971/6594048, 36227971/13188096, -22/27, 32/9, 
  97/72, -10/9, 445/72, -375245/13824, -1418761/82944, -1147903/41472, 
  -1828873/82944, 8/3, -13/9, -120509/2592, 23/18, -747767/82944, 
  -375245/13824, -10877309/746496, -1015561/82944, -26963/5184, -671/72, 
  13/18, -21887/15552, 5215/864, -7463/864, 10/9, -10/9, -29089/15552, 
  -1127/576, -2191/864, 1127/576, 7271/864, 1127/576, -1127/576, 
  -29089/15552, -3583/864, 7007/864, -1/4, -35/18, 35/18, -3, -17/12, 23/12, 
  17/12, 7/6, 3/8, 37/24, -29/24, -26/9, 26/9, -3, -17/12, 23/12, 17/12, 
  34/9, -49/9, 31/24, -5/12, 13/9, -1607/576, -11/6, 1607/576, 7/18, 
  2231/576, 16/9, 2873/576, -169/864, -5941/864, 95/864, 241625/5184, 
  673/144, 17/36, -6025/1728, 629/54, 92837/1728, 15/8, 347/576, 2281/1728, 
  2909/1728, 745/192, -5303/1728, 4829/1728, 745/192, -5591/1728, 11885/1728, 
  161489/20736, 323/192, 17/144, 0, -13/9, 13/9, -5/18, -5/4, -43/18, 5/4, 
  4/9, -197/72, -21/8, 29/24, 1274423/466560, -13157/51840, 2465159/233280, 
  61441/25920, -1552829/233280, 24169/2592, -98785/46656, 3155/2592, -13/9, 
  13/9, -6, -5/4, 215/12, 5/4, 5/9, 10/9, -53/24, 5/12, 25277/7776, 
  -1859/576, -737/1728, 13399/3888, 18535/432, -935/192, -18535/432, 
  4577/1728, -72595/1728, 15, 11749/432, -151/9, 3421/3888, -6761/432, 
  -881/64, 614/27, 16789/1728, 461249/20736, -50549/1728, 17/144, 4853/432, 
  -7369/216, -25/24, -15/8, 13/9, -5339/288, -61/18, 5339/288, 35/18, 
  -593/48, 50/9, 619/144, 1/3, -80/9, -1619/144, -29/9, -145/9, 5/72, 457/36, 
  227/72, -3985/72, -123/16, 139/9, -53/24, -463/6, 9317/1152, 39677/1152, 
  -3451/144, 1/18, 3451/144, -1/18, 2737/288, -1733/144, -4321/288, -595/144, 
  337/32, -1709/144, -1387/96, -53/72, 53/16, -6821/1152, -1571/144, 
  -1571/144, 1571/144, -22639/6912, 33125/2304, 139/108, 14/3, 118063/6912, 
  -221303/6912, 151/72, 20615/432, -487/72, 8303/6912, 21619/1728, 
  -44693/576, -2035/144, 159665/6912, 12173/2304, -66103/768, 39785/2304, 
  156751/3456, 977/192, 34615/1152, -95/9, -17399/1152, -82757/864, 8509/288, 
  -123/16, -3817/72, -46469/1152, 17743/384, 479689/3456, 3385/144, 
  -39677/1152, -349/576, 3505/96, 159/64, -3505/96, -613/576, -20855/1152, 
  49/3, 773/32, 74/9, -32971/1152, 2917/144, 371/9, -19/2, -1685/144, 
  -4037/576, 59173/2304, 162185/6912, 1625/192, -6277/192, -6533/576, 
  -20855/1152, -210427/6912, 9737/288, -2201/144, -2317/768, -343/288, 
  6413/576, 49639/3456, -68609/6912, 11123/1152, 7513/864, 14/3, -97/16, 
  5281/144, -6, -4249/144, -44525/1152, 47977/1152, 66103/768, 1571/72, 
  -156751/3456, 79/9, 3245/288, 4125677/55296, -332183/5184, 
  -13543879/165888, -47717/1296, -19239/1024, -196301/10368, -3443/1152, 
  -4612247/165888, 13/3, 306209/10368, 3347/3456, 1565533/27648, 
  -312221/10368, -4741783/165888, 4612247/165888, -4612247/165888, 1/3, 
  -3389/576, -49283/1296, -233/48, -661/72, 1333/144, 229133/5184, 
  938959/10368, 883/144, -179933/3456, 47717/1296, -47717/1296, 
  1669865/165888, 4638359/165888, 4638359/165888, 49283/1296, 
  -4638359/165888, -14/3, 3454247/82944, -252551/2592, -4006907/27648, -3, 
  135971/10368, 1531595/55296, -1811323/82944, -1334353/55296, -1145215/9216, 
  -2315129/55296, -32665/5184, 47329003/331776, 236267/165888, -118055/5184, 
  -3800299/110592, -46891/2592, 35065/5184, -3, 118055/5184, 18379435/331776, 
  -36181/5184, -3410933/165888, 118055/5184, 10928363/331776, -30265/5184, 
  -542167/27648, 236267/165888, -91703/10368, 3793399/82944, 4612247/165888, 
  -449/64, 2411711/82944, -98267/648, -15745/5184, -182561/3456, 
  -9253535/41472, 17/72, -10488695/82944, -7866583/82944, -5796649/27648, 
  9517487/82944, -1695977/165888, 10511/1728, 142625/20736, 96349/10368, 
  -3239/576, -94591/5184, -2551/576, 5489/1152, -876013/18432, 215587/2592, 
  3215279/82944, -248699/20736, -7830097/165888, 26413/1296, 28059659/165888, 
  2096171/55296, 2711/1728, 52471/5184, -46979/1296, -4283/576, -163/144, 
  9409/576, 556519/10368, 145145/1296, -1175/288, -2026/27, -228269/10368, 
  43559/1296, -1609/96, -172295/5184, -185/72, 365725/27648, -375011/36864, 
  -61219/2592, -1706093/82944, -224569/2592, 6, -8998511/82944, 17/36, 
  -7792471/82944, 5173/18432, -116143/2304, 4638359/82944, -23605183/331776, 
  -8741/7290, 651672451/118692864, -694296809/39564288, 24043/25920, 
  -25300099/1119744, -200093/25920, 4729/432, -601118083/118692864, -73/108, 
  -127/108, 14351578679/237385728, 10/27, -881365123/237385728, 
  -59224195/2239488, 11909/14580, 274575331/7418304, 773/9, -2503/12960, 
  355980509/7418304, 53513/12960, -4409/192, -283367395/7418304, -1205/144, 
  127/216, -465675245/7418304, 103/27, -224227027/14836608, 
  147100301/14836608, 23353/4860, 881/72, 709/12, -117997/8640, -737/72, 
  181307/8640, -41851/576, -23305085/82944, -41/144, 83499889/497664, 
  -6001/144, -5713/48, 4007/72, -112758233/497664, -69129841/248832, 
  -13054589/746496, -28820861/2239488, 13054589/746496, 28820861/2239488, 
  -3625/972, 2711683/746496, -7799165/124416, -28820861/2239488, 
  7799165/124416, -647355005/118692864, 723423511/79128576, 1008167/7776, 
  -6015619/1119744, -409/2592, -239/216, 18722429/237385728, 157/108, 
  -10151549/746496, -239/108, 21215107/2239488, 157/54, -1/3, 8886653/186624, 
  -9564773/248832, -33696413/7418304, 32/3, -23990939/248832, 
  -44607907/7418304, -10675/648, -239/216, -1480893721/237385728, 
  -18985085/746496, 8274941/373248, 239/216, 101825011/14836608, -943/108, 
  7013501/248832, -7725437/373248, 13054589/746496, 2831712589/118692864, 
  -1004769559/39564288, -13054589/746496, -2923010633/59346432, 4637/1944, 
  -2711683/746496, 340899803/6594048, 28820861/2239488, -7799165/124416, 
  4068989/976896, -29/8, -36227971/6594048, 50749637/79128576, -15259/4860, 
  -59/72, -16/9, 60721/8640, -7/24, -51671/8640, 25903/1728, 23726717/248832, 
  -871/432, -19641725/497664, 1819/144, -769/144, 131/24, 124930265/1492992, 
  50026877/746496, -1723/324, -539/72, -709/12, 8149/576, 47/8, -7667/576, 
  70127/1728, 65475197/746496, 2449/432, -19641725/497664, 6319/144, 
  12071/144, 743/72, 84342251/1492992, 83326187/746496, 12345677/373248, 
  2050317901/118692864, -2130153751/79128576, -9447821/373248, 
  804274999/59346432, 34249/1944, -2711683/746496, 16772805727/237385728, 
  27161981/1119744, -55695467/746496, -177/128, 2276949307/79128576, 
  2333/288, -67/9, -13925915/373248, 3291515/373248, 908891/124416, 
  -1879/2160, 299/72, -16/9, -2201/5760, -259/72, 557/1920, 1782071/82944, 
  -46/3, 3397/216, 36424061/1492992, 2095447/82944, 8/9, 497/27, 
  16113149/1492992, -551/144, 36227971/6594048, -43/2, -36227971/6594048, 
  -36227971/13188096, 36227971/13188096, -2590409/93312, 340/3, 482609/93312, 
  -340/3, 174491/124416, -35/3, -715/12, 35/6, -27278735/26376192, 215/4, 
  -181139855/13188096, -181139855/26376192, 35/6, 211/3, 247316093/8792064, 
  -35/6, -35/6, -35/3, -131187581/4396032, 35/6, 15059069/8792064, 59/144, 
  839/72, 16/9, -3091/384, -293/24, 18727/1152, -158359/82944, 124/3, 
  51575/82944, 32069501/1492992, 274825/82944, -613/12, -433417/82944, 
  95988221/1492992, 7573/144, -2579/2160, -105641/2592, -1225/36, 
  -5083/17280, -1039223/82944, -76187/17280, -65047/82944, 3928195/746496, 
  516983/82944, 32069501/1492992, 2212951/82944, 273/8, 1079/108, 
  71561213/1492992, -111/16, 154111/41472, -193996675/8792064, 90689/41472, 
  -859/18, -949/72, -36227971/13188096, 76341763/3297024, 28/9, 
  -36227971/13188096, -181139855/26376192, -37439/7776, 6091/432, -7475/432, 
  751/576, -3199/576, -10/9, 29663/7776, -1127/288, -4615/432, 1127/288, 
  6431/432, -5/6, 10/9, -2, -10/9, 671/576, 5857/576, 1/4, 10/9, 8455/3888, 
  -19/12, -5329/288, -1/12, 1637/96, 237305/5184, 10/9, 277/144, -23/36, 
  2149/864, -71/72, 20821/1728, 85637/1728, 439/72, -32/9, 85/18, 131/18, 
  28/3, -28/9, 1274423/466560, -23/18, 9883/51840, 2763239/233280, 
  49921/25920, 24169/2592, 23/18, -23/18, -31/24, 1274423/466560, 
  -1889789/349920, 102043/51840, 196033/139968, -56639/25920, 
  -14769743/2799360, 44141/3888, 1878101/349920, -1807/1944, 1889789/349920, 
  -29/24, 537377/69984, 687539/233280, 29/24, -485/288, 6817/864, 869/864, 
  433705/82944, 16268669/248832, -5/12, -16268669/248832, 67/18, -341/36, 
  61/12, 413/432, 17911/432, 47/432, -17911/432, 3359/432, 650281/82944, 
  15957629/248832, -16/9, -15957629/248832, -50083/1728, 151/9, 5377/432, 
  -7/24, -421/36, 3029/2592, -7277/432, 30235/864, 2909/108, -29449/864, 
  3141233/82944, 15957629/248832, -21685/864, -15898877/248832, 5285/432, 
  16/9, -4733/108, -1/12, -25/36, 878909/174960, 1313/4860, 2, -3155/1944, 
  -878909/174960, -1626017/174960, 3155/1944, -1417/864, -18367/432, 419/96, 
  18367/432, -3761/864, 321629/233280, 926177/116640, 138961/46656, 
  -3155/2592, 63907/1728, -151/9, -14053/432, -183025/46656, 151/9, 
  2401/2592, 4626661/349920, -926177/69984, 3403/288, -374728/10935, 
  -2921/288, -10275559/559872, 133519/8748, 25449097/699840, -16693/7776, 
  -4626661/349920, 860567/34992, 2684849/69984, -3105911/349920, 
  -794957/69984, 926177/174960, -17/3, -167/18, -809537/87480, 259/18, 
  381857/174960, -821/288, 3605/288, 799/288, -3605/288, 491/288, 5383/1728, 
  -335/432, -125/64, -32795/2304, 4645/288, 323/384, 2021/64, -4523/1152, 
  -2021/64, 4961/1152, -2149/1728, -24404899/82944, -158693/13824, 
  -2657/1728, 27175685/82944, 1241/576, 25368641/82944, -13330811/41472, 
  -8224091/27648, 10061645/27648, -247/144, -25987/1152, 33763/1152, 991/864, 
  653/18, 25/288, 24563945/82944, 3538243/82944, -2178833/9216, 
  6822337/20736, -5047/864, -83845/82944, 153991/3456, -3220303/82944, 
  55441/20736, 1, 8977/864, 8977/864, -887987/10368, -3133/12960, 1043/2880, 
  -679/192, 7241/25920, -2981/2160, 127/72, 1384913/165888, -4475/1152, 
  37/36, -29/48, -2/9, -5/18, 3, 457/1728, -877/864, -63/64, -977/768, 37/24, 
  -3493/1152, -527879/13824, 249629/6912, 7409/3456, 16421/648, -353/1152, 
  1285/1728, -22690723/82944, -17833883/110592, -799/1728, 26705353/82944, 
  -3625/576, 24599465/82944, -56142941/331776, -28966361/82944, 
  48811615/165888, 433/1728, 140525/4608, -12393023/110592, 1237/1728, 
  -689771/10368, -5237/576, 2336945/9216, 24422425/82944, -25982269/82944, 
  11492543/82944, -5/64, 4764155/110592, -299/576, -2169533/18432, 
  -1499903/155520, -115/192, 130097/17280, 115/192, 121973/17280, 
  19091/155520, 88831/17280, -169181/17280, 1443103/155520, 9/640, 
  -53263/17280, 3711/256, -1859/256, -233/256, 1145207/933120, 
  1265876489/7464960, -434465509/1399680, 2824737997/22394880, 233669/25920, 
  141247/25920, 36271/768, 7555/1152, -11719/1440, -21761/576, 133/30, 
  -2819/2592, -23043953/331776, 47316491/1492992, 413/288, 14613871/110592, 
  -635/96, 2604793/36864, -346731809/2985984, -25100605/331776, 
  27546245/331776, -3311/1296, -55277/1728, 5774291/82944, 913/432, 
  491375/6912, 1039/288, 317233/4096, -9658637/331776, 208152149/2985984, 
  -10729/3456, -8544505/373248, 174439/3456, -281017/23328, -7888715/373248, 
  1459/576, -2113/576, 1123/576, -3515/3456, 27671753/165888, 2501/192, 
  -515/384, -26317445/165888, -3925/1152, -25901185/165888, 26656393/165888, 
  26479013/165888, -28797673/165888, -3713/1728, -1631/288, 2215/1728, 
  7966055/27648, -26104649/82944, -29766991/41472, 2635909/124416, 1/3, 
  -3389/576, 16/9, 5/36, 341/64, -17/36, 709/2160, -1665071/82944, 5797/384, 
  229/640, -16507/864, 30589/5760, -7327/1152, -46291805/1492992, 45/64, 
  2629/384, 17221/8640, 1728293/82944, -95/6, -27107/17280, -1487677/82944, 
  24799/5760, 9270967/55296, -7732945/55296, 156495235/746496, 8823875/55296, 
  211/8, -24651221/165888, -61364365/373248, -29607637/82944, -18721/15552, 
  1/3, -2143/864, -1/3, 6647/864, 913/972, 29/24, 1355/216, -29/24, 
  -14233/1728, -69/256, 0, -31/192, 119/576, 443/576, -1193/1152, 31/18, 
  3887/1152, -27661/13824, -26647/3456, -23478433/165888, 30803017/165888, 
  39845/13824, -31069129/165888, -607/384, 9691/3456, 3545/3456, 24301/2304, 
  48407/1152, 908701/27648, 197/108, -541/144, 115/48, 161489/20736, 323/192, 
  17/144, -457/1728, -2255/864, 63/64, -391/288, -4835/2304, -3/2, 3955/2304, 
  -65/18, -899/256, -5815/1152, 4135/384, -5183/1152, 23489/10368, -1467/128, 
  -7025/384, -2205715/41472, 1953/128, -22854041/165888, 29147957/165888, 
  1940107/41472, -27266309/165888, 253/108, -11129/1728, 601/216, 
  -30151/6912, -184057/3456, -870109/27648, 359/192, -3785/288, -3019/288, 
  -793/192, 187/36, 3019/288, 2501/576, 763/96, -1199/576, 44111/2304, 
  -3287/288, 335/18, -8259/256, 169/96, 9409/576, -5029/2304, 63/16, 
  1619/288, -467/24, 4595/1152, 1/6, -8893/384, -1/6, 5521/288, -509/256, 
  1/3, -80/9, 22639/6912, -8977/1728, 8977/1728, 8977/1728, -17419/6912, 
  -38281/3456, 17419/6912, 15617/1152, 8357/768, -14485/2304, -15617/1152, 
  3385/1728, -83846731/165888, -988765/110592, -4541/864, 158998333/165888, 
  1087477/110592, 94/9, -4161263/9216, -3397/576, -798077/4608, -1769/1536, 
  2438107/110592, -9805/4608, -5661373/165888, -764809/4608, 264961/2304, 
  1171433335/1327104, -30761/1536, 90784759/165888, 146353/1152, 
  1150175767/663552, 1110966775/1327104, -10165/3456, -2587/9216, 
  3095359/73728, 22381/3456, 1132169/36864, -3103585/73728, -6553/1152, 
  -504335/18432, 103/32, 6319/1728, 1655/144, -289621/13824, -4179187/110592, 
  656509/18432, -3720799999/1990656, -2380332235/1990656, -4375625207/995328, 
  2391509227/995328, -839/3072, -5377843/221184, -5/2, -1384661/36864, 
  4091831/110592, 1079015/36864, -3736048519/1990656, -1135673651/995328, 
  -2175504361/497664, 10656455171/3981312, 925229/110592, -3031/144, 
  -2729941/110592, 1045180555/3981312, 467/24, -10165/3456, 34270525/124416, 
  -1375/48, -4061/1152, -15727831/331776, -14446205/110592, 14239/3456, 
  -209530697/995328, -179/18, -17425/1728, 420781117/663552, 4813/288, 
  -1506701/2592, 1511823925/995328, 107482337/165888, -3667965247/1990656, 
  -2360823115/995328, -7466905871/995328, 2371505611/995328, 
  -34767325/124416, 170555111/55296, -2915/2304, -6756365/331776, 
  -3402625615/1990656, 130379047/497664, -727531297/331776, 
  -2326066555/995328, -4186806377/497664, 196455001/55296, -84695659/27648, 
  -20773/1152, 459816905/248832, 7283772403/1990656, 98/3, -91/384, 
  18589/576, -733/1152, -18589/576, 1117/384, 173/128, -71140351/165888, 
  615953/13824, -11489/3456, 2901533/6144, 2471/384, 76469731/165888, 
  -92870519/165888, -8590247/18432, 83691155/165888, 8699/3456, 14593/768, 
  22745/1152, -407/128, -787/128, 893/1152, 74579443/165888, 8153521/331776, 
  -2956517/6144, 53744599/110592, -128825/2304, -98159/27648, 10243/256, 
  -25424557/331776, -466981/27648, -5659/1152, 1777497913/995328, -10, 
  -8977/1728, 2053080137/331776, -1816843411/995328, -8977/1728, 
  -227822693/36864, -6115/1728, 18497/3456, -2401137355/1990656, 5659/1152, 
  -115511245/24576, -48780905/20736, 33457/3456, -29609/1728, 34931/3456, 
  -10534221673/3981312, -819/128, -24308857/10368, 5076323245/1327104, 
  38281/3456, -76195/3456, 8269464251/3981312, 1409518877/442368, 2579/216, 
  1131985495/1327104, 5849/256, 14485/2304, -1131985495/1327104, -2617/1728, 
  85290511/165888, 244093/6912, 18509/3456, -81803099/82944, -500525/13824, 
  -3547/384, 8711611/18432, 5245/1152, -68437355/248832, 32432885/663552, 
  -198337/73728, 47922245/82944, 4882553/165888, -200349637/995328, 
  350472181/248832, -295922947/497664, -1850640991/663552, -388522099/663552, 
  -11653/2304, -933529/36864, -1510363/110592, -3050191/165888, 
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  0, 0, 0, 0, 0, 0, 1/144, -13/288, 683/1152, 0, 5/64, 0, -119/512, 0, 
  61/1024, 0, 3/128, -3/128, -217/576, -421/1152, -9/128, -21/1024, 7/64, 
  -15/128, 0, 0, -361/1152, 0, -1/128, 13/1024, 21/1024, 0, 63/512, 123/512, 
  15/128, 0, -61/1024, -61/1024, 0, 0, 0, 0, 0, 0, 0, 141/1024, 0, 57/1024, 
  0, 0, -73/576, 0, -193/2304, 731/3072, 833/2304, 0, -37/4608, -1089/1024, 
  -6547/9216, -15/512, 27/256, 0, 0, 0, 155/1152, 119/1024, 3/256, 0, 67/512, 
  127/1024, 129/1024, 0, -271/1024, -3/64, 0, 253/4608, 0, 0, -629/4608, 
  9/1024, 0, 0, 41/288, 3305/9216, -9/512, 0, 173/1152, 59/9216, 0, 7/9216, 
  0, -27/256, 0, -73/576, -629/4608, 117/1024, -193/2304, 1643/4608, 
  833/2304, 0, -37/4608, -1197/1024, -6547/9216, -15/512, 27/256, 0, 0, 
  -91/288, 0, -407/1152, 291/1024, 0, 911/576, 21/1024, 0, -5299/4608, 0, 
  23/96, 23/4608, -9/1024, -175/384, 935/9216, 333/1024, -669/256, 1151/3072, 
  2519/768, -515/2304, -125/4608, 9/1024, 465/512, -367/4608, -2831/4608, 
  -523/2304, -27/256, -5827/4608, 27/128, 109/576, -839/1152, 841/2304, 
  -553/9216, 333/1024, -3257/2304, 3367/4608, 9/128, 1895/2304, 4193/9216, 
  -51/1024, -5489/4608, -175/4608, -2003/4608, -65/64, -139/1024, -161/288, 
  1/256, 1633/2304, -337/4608, 2395/4608, 1511/9216, 0, -1111/4608, -93/1024, 
  -9323/9216, -2155/4608, 1511/9216, -1511/9216, 0, 1/128, 21/1024, 0, 
  83/512, 15/128, 0, -117/1024, 0, 0, 13/64, 1/128, 0, 0, -35/128, -1/128, 0, 
  9/64, 0, -73/576, -13/64, 0, 0, 257/2304, 27/128, 1801/4608, 0, -69/512, 0, 
  -1159/1024, -15/512, 0, 17/256, 117/2048, 0, -89/1024, 57/256, 0, 387/2048, 
  0, 0, -143/1152, 11/128, -9/2048, 0, 1777/4608, 225/1024, 0, 1025/9216, 0, 
  -821/1152, -2651/9216, 15/2048, -2815/2304, -1055/18432, 3031/1152, 
  -29/4608, -1/256, -14201/9216, 93/512, 0, -37/256, 147/512, 0, 363/1024, 
  -57/2048, 0, -737/2048, -41/144, 1991/3072, -195/2048, -541/1152, 
  -4897/6144, 1081/576, -7129/9216, -333/512, -67255/18432, 45/128, 23/128, 
  -495/2048, -1/64, 801/2048, -11279/9216, 437/6144, -7205/18432, 1699/6144, 
  -11027/18432, 0, -1/256, 5/2048, 21/1024, 0, 59/1024, 393/2048, 15/128, 0, 
  65/2048, -1/1024, 0, -61/2048, 0, 0, 41/576, 53/1024, -9/2048, 0, 0, 1/256, 
  -119/2048, 9/2048, 0, -105/1024, 77/1024, 0, 1019/18432, 0, -1213/9216, 
  9/2048, 0, -1/18, 2461/18432, -9/1024, -29/2304, 5377/18432, 1805/4608, 
  -123/1024, 0, -143/1024, -1923/2048, -1557/2048, -15/512, -15/1024, 0, 0, 
  5/192, -77/2048, 0, -175/1536, -179/2048, 0, 93/512, 397/2048, 0, 
  -135/2048, 0, -113/1152, -635/9216, 69/2048, 0, 0, -727/4608, 2623/9216, 
  363/2048, 0, 3187/9216, -3733/18432, 0, -1117/9216, 0, 23/192, -115/2304, 
  -37/2048, -9/2048, -827/2304, 69/512, 203/1024, -3341/2304, 2435/4608, 
  2537/1152, -515/4608, -9/128, 9/2048, 4193/9216, 51/512, -7657/9216, 
  -523/4608, 15/1024, -1369/2304, 27/256, 0, -31/768, 251/2048, 0, 0, 
  293/3072, -275/2048, 0, 0, -205/2048, 325/2048, 5/144, -109/4608, 
  -413/4608, 17/144, -367/768, 575/4608, -139/576, 3491/9216, 3/64, 
  1435/3072, -3283/18432, -3/2048, -2541/2048, -4123/18432, -733/768, 
  -4157/9216, -11/128, 381/2048, -13/256, 7/384, -179/2048, -21/1024, 1/64, 
  187/2048, -15/128, 763/9216, 3529/18432, 3985/18432, -83/1152, 0, 235/2048, 
  -2443/6144, -3439/6144, -3977/18432, -1661/18432, 1661/18432, 0, 0, 0, 0, 
  0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 41/16, 0, 
  -15/8, 0, -41/16, 19/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -37/144, -865/144, -145/144, -649/144, 239/144, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 11/4, 0, 0, 0, 0, 0, 0, 0, 3/4, 3/2, 0, 0, 0, 0, 0, 0, 1/2, 
  11/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17/4, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -3/8, 3/16, 0, 0, 0, 0, -3/4, 9/16, 0, -9/8, -2, 0, 0, 0, 
  -5/12, 0, 5/2, 31/6, 0, 0, 0, 3/4, 25/9, 0, 0, 0, -569/144, 0, 3/8, 299/72, 
  53/18, 163/144, 239/144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/32, 0, 
  -57/64, 0, 49/64, 0, 1/8, -137/64, 0, 9/8, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -123/64, 0, 
  45/32, 0, 75/64, -33/32, 0, 0, 0, 0, 5/48, 0, 0, 0, 0, 0, 0, -109/288, 0, 
  0, 0, 577/576, -2057/576, -265/288, -3/4, -901/288, 1273/576, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 
  0, 0, 0, 1, -5/4, 11/4, 0, 0, 0, -1/2, 4/9, 0, 0, 0, -1/2, 1/4, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141/128, 0, -57/128, 0, 
  0, 0, 141/1024, 0, 57/1024, 0, -7/64, 0, -79/128, -2367/2048, -87/64, 
  -63/512, 0, 0, 0, 0, 0, 0, -7/64, 47/128, 169/1024, -63/512, -1001/2048, 0, 
  0, 0, 0, 0, 0, 0, -131/128, 0, 0, 49/64, 0, 0, -1/16, 0, -513/128, -63/128, 
  0, -9/32, 0, 211/64, 63/64, 243/128, 537/128, 195/1024, 3/16, -147/1024, 
  309/1024, 0, -31/64, -525/2048, 0, -939/1024, 2781/2048, 0, 1891/1024, 0, 
  55/64, -363/2048, 2443/1024, 63/256, -33/32, 15/256, 0, 0, 1109/384, 
  9611/2048, 63/128, 0, 6403/1024, 5647/2048, 0, 1547/1024, 0, 373/288, 
  1187/576, -1927/576, 0, 111/128, 0, -973/384, -12691/2048, -195/1024, 
  245/1024, 195/512, 25/16, -185/576, 1001/144, 0, -27/256, -309/1024, 1/2, 
  -205/576, 0, 0, 0, 0, 0, 0, 0, 0, -5/48, 0, 0, 5/48, 0, 0, 0, 0, 0, 
  -3845/1152, 831/128, 15/64, 0, 0, 0, 0, 7/64, 63/512, 0, 0, 0, 0, 443/192, 
  -13489/4608, -3845/9216, 831/1024, 15/512, 7/64, -41/64, -2653/576, 
  27575/18432, -3497/3072, 63/512, 4333/384, -6167/2304, 0, 0, 0, 0, 0, 0, 
  -395/384, 0, 0, 109/1152, 0, -971/1152, 0, -109/1152, 0, 7/32, 0, 225/64, 
  0, -355/576, 7/192, 505/384, 5/32, -1225/576, 11371/768, 0, 0, 0, 0, 
  -635/144, 20251/2304, 5323/288, 176375/55296, -374879/27648, 385/192, 
  -17/48, 2129/288, -863/768, 94799/6912, -3147487/55296, -696481/55296, 
  55/64, -230921/6912, -1519/1728, 0, 2533/1152, 0, 287/1536, 0, -52681/3072, 
  0, -155/192, -228107/27648, 25945/4608, 253981/13824, 127283/9216, 
  176375/55296, -2765/1536, -164233/13824, 3125/1536, -2965/1152, 
  -130579/6912, 25975/4608, 2774243/55296, 137975/9216, 550759/27648, 
  119897/13824, -1883191/27648, -659887/55296, 127987/6912, -29629/6912, 
  -1082321/18432, -179707/13824, 29629/6912, 0, 0, 0, 0, 0, -3/16, 0, 3/16, 
  0, 0, 0, 0, -3/32, -3/16, 0, -25/32, 0, -133/64, 0, 201/64, -163/64, 
  -453/64, -35/64, 25/32, -101/16, -149/3072, -419/384, 5591/3072, 0, 
  -1045/1536, 821/3072, 0, -12871/3072, 0, 4465/1536, 2329/1536, 0, -745/192, 
  605/384, 0, 0, 0, 0, 0, -4501/1024, 0, -11/4, 0, 0, 155/64, 0, 0, 21/64, 0, 
  1205/3072, -4031/12288, 7343/24576, 4229/24576, -751/8192, -3379/8192, 
  -7411/12288, 30295/8192, -1195/1024, -257/32, 0, 79081/12288, 79151/24576, 
  -32905/8192, -27105/8192, -53965/8192, 26273/4096, -231851/24576, 0, 0, 0, 
  0, 0, 977/1536, 0, -6731/12288, 7343/12288, -19787/24576, -5167/8192, 
  -3379/4096, -37/384, -5713/4096, 0, 0, 0, 0, 0, 43/48, 685/1152, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 3/8, 0, 0, -7/32, 0, 41/64, 0, 17/32, -37/64, 25/64, 
  103/64, -5/8, -65/32, 7/16, 11/2, -149/3072, 0, 149/768, -63/2048, 0, 
  -1471/3072, -45/256, 0, 1237/6144, 0, 0, 0, 0, 0, 1265/1536, -7499/12288, 
  -19787/24576, -8367/8192, 2053/4096, -2273/1024, 199/192, 1585/1152, 3/16, 
  -11/4, 0, 0, 0, 0, 0, 0, 0, 0, -7/16, 53/144, 0, 0, 0, 0, 0, -1/4, 137/144, 
  11/8, -1/4, -1/4, 37/72, 0, 0, 0, 1/8, 0, 0, 0, -1/4, 1/8, 0, 0, 0, 0, 1/4, 
  0, -3/8, 0, 1/8, -1/4, 1/8, 0, -141/512, -621/512, -57/128, 0, 0, 0, 0, 0, 
  0, 0, 0, 163/256, 63/512, 0, -37/128, 453/2048, 0, -427/2048, 0, 0, 
  -389/512, 295/2048, 0, 0, 2375/2048, 1169/2048, 0, 1397/2048, 0, 0, 
  -365/256, -109/4096, 0, -2397/2048, -1237/2048, 0, -2895/2048, 0, 389/512, 
  2187/2048, 63/512, 3865/2048, 113/512, 5291/2048, 27/32, -435/4096, 
  2421/2048, 2209/4096, 3345/2048, -563/1024, -195/4096, -3501/2048, 73/1024, 
  0, 45/512, -67/128, 0, 55/192, 77/512, 0, 0, -485/384, 907/4096, 423/1024, 
  0, 757/2048, 3109/4096, 0, 2041/2048, 0, -17/96, -35/256, 0, 0, 261/128, 
  37/2048, -2367/2048, -13/1024, -105/64, 21/64, -63/512, 15/256, 0, 0, 0, 0, 
  0, 67/192, 0, 0, 59/24, -2685/4096, 0, -7321/6144, 8159/4096, 0, 2825/768, 
  0, -23/48, 1891/2304, 0, 175/192, -5065/4608, -701/2048, 667/128, 
  -80033/36864, -4861/768, 515/1152, 13/64, 0, -4769/2304, -23/512, 
  1825/2304, 523/1152, 0, 2603/1152, -27/64, -13/48, 8107/4608, 0, -263/128, 
  -3575/18432, -7659/8192, 4499/3072, -104227/36864, -25/64, -5075/2304, 
  -721/576, 463/2048, 6107/4608, -15065/36864, -57137/36864, 4823/2304, 
  21/256, 343/256, 13/64, -4409/2304, -11533/18432, 0, -22057/36864, 
  9475/73728, 0, 929/1152, 757/1024, 132323/36864, 2551/2304, 6241/18432, 0, 
  -6241/18432, 0, 1/16, -357/4096, 0, -1571/2048, 1485/4096, 0, 1671/2048, 0, 
  0, 345/512, 805/256, 189/512, 0, 12611/2048, 12029/4096, 0, 3825/2048, 0, 
  1703/1152, 111/256, 0, 3631/2304, -291/512, -1291/288, 69/128, 0, 2457/512, 
  15/128, 0, -123/64, -2277/512, -63/128, 0, -709/256, -4893/2048, 0, 
  -2169/1024, 0, -415/1536, -2513/1024, 1555/4096, 2713/2048, -4593/2048, 
  -1393/768, 2047/768, 1475/1024, 69523/6144, -123/256, 91/64, 18213/4096, 
  195/1024, -501/2048, -435/1024, 9/64, 7009/2304, 2149/4096, 11293/18432, 
  -7441/3072, 15/512, 309/1024, -13423/9216, 0, 3845/4608, -831/512, -15/256, 
  31/48, 0, 0, 0, 0, 0, -2441/2304, 0, 1603/1024, 0, 18823/6144, 0, 229/96, 
  -3769/4096, -6989/2304, -63719/18432, -7489/3072, 7907/12288, 99/1024, 
  20641/9216, -9/64, 0, 1/64, 0, 1225/2304, 0, 0, 0, -277/2304, -58667/9216, 
  -19/72, 380539/36864, -4819/1536, 797/256, -12611/36864, -7539/1024, 
  -18331/36864, 5/128, 63/1024, -1225/2304, 11251/3072, -225/128, 199/36, 
  -30247/9216, 0, 0, 0, 0, 0, -1333/1152, 2957/3072, 30179/18432, 
  151955/18432, -705499/110592, 5739/4096, 531/2048, -5/64, -487/768, 
  353/288, 8815/4608, -52555/13824, 569923/27648, -3480661/110592, 
  -841465/73728, 4075/36864, -33/512, 809/576, -269051/13824, -16561/6912, 
  672035/221184, -1759/4096, 21/512, 91/576, -1643/27648, 0, 497/384, 
  -398099/110592, 0, -5473/3072, 57479/13824, -141/256, 0, -53945/18432, 
  -131069/110592, 0, -42035/9216, 0, -1885/1152, 29833/36864, 27829/36864, 0, 
  1973/3072, -36581/9216, -45757/36864, 156121/18432, 188969/18432, 
  6365/1536, 515/1152, -7319/12288, 0, -100025/36864, -7409/2048, 
  -820717/110592, 523/1152, 213/2048, 140671/36864, -333/2048, -539/384, 
  591623/55296, 11117/55296, 4471/9216, -1033399/55296, -46109/55296, 
  12417/2048, 2607889/110592, 8383/4608, -598979/110592, -53729/6912, 21/256, 
  1462355/110592, 2794993/221184, -2670173/110592, 106613/36864, 7751/36864, 
  -466009/73728, 7999/36864, -810851/110592, 43471/27648, 591967/55296, 
  -69659/55296, -269051/13824, 461953/110592, -114013/55296, -58767/8192, 
  9767/36864, -104863/55296, 91/576, 34615/18432, 0, 371/2304, -193/4608, 0, 
  1343/6144, -2345/4608, 0, -173411/36864, 0, 0, -7235/2304, -162899/110592, 
  0, 0, 20773/3072, 225781/55296, 0, 61589/6144, 0, 3859/768, -52747/18432, 
  -2765/6144, -76375/18432, -716597/110592, -288403/36864, 11219/6144, 
  2449/3072, 286601/36864, -351/2048, 0, -539/2304, -19385/13824, 0, 
  74419/18432, 1888667/221184, 0, 247019/36864, 0, 287/288, -1968551/110592, 
  132161/55296, -72707/18432, 300259/55296, 98773/36864, 2154373/110592, 
  -2113/1536, -5675069/221184, -39139/36864, -7/24, 11251/6912, -29629/27648, 
  -973/768, -6405835/221184, 1554521/55296, 65753/55296, -7940873/221184, 
  -409225/55296, 29629/27648, 6437/864, 0, -80408955/2249728, 0, -293/768, 
  21/512, 0, 277/384, 15/64, 0, -117/512, 0, 0, 0, 0, 0, 185238535/553992192, 
  -31747033585/7201898496, 20013680041/1950514176, 0, 0, 0, 0, 401/768, 
  -415/384, 189/512, 0, 0, 0, 0, 953/34816, 0, 351707/2663424, 141/512, 0, 
  24519425/92332032, 99/256, 0, -86880415/276996096, 0, 7381/313344, 
  -2969971/5326848, 0, -2250209/5326848, -489888625/200052736, 1883/2048, 
  1298783951/1107984384, 7180208249/1800474624, -8118245/11541504, 
  -10427819/10653696, 24519210515/3901028352, -63/1024, 
  -2653580597/14403796992, -81553980601/15604113408, 878255383/300079104, 
  1338302473/3901028352, -10615/2048, -127736112635/11703085056, 
  80062429745/3901028352, 0, -5299/8704, 185/3072, -147/2048, 0, 
  -30581083/10653696, -4669/6144, -1545/2048, 0, 1761718711/369328128, 
  -379/2048, 0, -1676881645/1107984384, 0, 15089/156672, 24072083/21307392, 
  4893/8192, 63/1024, 2647151/5326848, 21410200819/4801265664, 14443/24576, 
  -869673977/1107984384, -71276195063/14403796992, 7495/16384, 
  -10427819/10653696, -12039733627/917889024, -473/512, 
  2118692141/4801265664, 129997631471/10402742272, -275301829/553992192, 
  1338302473/3901028352, -12280875513/1300342784, 3468510145/3600949248, 
  80062429745/3901028352, 4939/17408, 0, 1399717/5326848, 20417/12288, 
  323353129/92332032, -835/1536, -2910963457/1107984384, 5841967/3551232, 
  4659/4096, 725527117/211820544, 134305/8192, -59585577551/14403796992, 
  3682022219/975257088, -103533/4096, -426764395613/15604113408, 
  -104029336081/3901028352, 0, -1151/768, 15/512, 0, 1151/768, 63/256, 0, 
  57/512, 0, 0, -57897/34816, -165/512, -63/2048, 0, 9378191/7102464, 
  -13417/49152, 0, -26242855/369328128, 0, 20219/313344, 38846677/14204928, 
  -2065/16384, -13507127/21307392, -6440447797/1600421888, 
  120156409/138498048, -25666543/14204928, 3259747449/2600685568, 
  6109827199/7201898496, 158922733427/31208226816, 0, 2941/6144, -3865/1024, 
  0, 0, 168395/24576, 18543/16384, 0, -72715/16384, 0, -8821/104448, 
  15097/8192, -21807/8192, 16898267/7102464, 210359/49152, 
  -523225909/369328128, -29057009/7102464, -34111003655/4801265664, 
  -86686770411/5201371136, -9/64, -76819/16384, -106599/16384, 33/32, 
  78315/8192, -187369/147456, -9207/16384, -769033/73728, -6603/512, -1/8, 
  -222635/16384, -707573/147456, -131287/156672, 8207263/21307392, 
  176848261/92332032, 47933737/69249024, 0, 13456381/5326848, 
  604256863/112529664, 79057721/26477568, 9848923/69249024, 
  -573557631263/46812340224, -419955647335/23406170112, 
  -6829581113/1200316416, 491787549779/46812340224, 491787549779/46812340224, 
  0, -32519/39168, 558655/313344, -131287/78336, 0, 8035669/5326848, 
  6334543/10653696, 0, 1304723/1923584, 0, 0, 1195/2176, -18197017/3551232, 
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  94873639/138498048, 0, 50071/156672, 211965725/42614784, 
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  2317/1152, 211/384, -1483/2304, 13/48, -3149/2304, 283/64, -2839/2304, 0, 
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  -221/384, 35/36, 329/384, -1727/2304, -9301/4608, -109/288, -155/384, 
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  0, -119/64, -219/128, 55/192, 1475/384, -9/16, 0, 247/192, -55/192, 0, 
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  -48419/9216, -34259/6144, 79729/4608, 9/128, 0, -7/64, 89989/18432, 0, 0, 
  0, 43/576, 0, -43/576, 0, 0, 0, 0, -335/192, 0, -1711/576, 0, 0, 0, 39/128, 
  -292871/18432, 140225/18432, 0, 0, -103/256, 0, 0, -265/576, 13/12, 0, 
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  12935/18432, 104953/4608, 265/576, 107/2304, -269/576, 1819/2304, 
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  124417/2048, -4087/2304, -97633/18432, -700421/18432, -139/64, 
  -357911/18432, -45089/3072, 276595/6144, 20473/1024, -730595/18432, 
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  0, 0, -92185/18432, 0, 0, -129929/18432, 306191/18432, 95705/18432, 0, 
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  67001/18432, 0, 37147/3072, 0, 130457/18432, -232585/6144, -101105/18432, 
  321239/18432, 0, -11/288, 0, 0, 107/1152, 0, 124657/18432, -42887/9216, 
  -96577/18432, 86377/4608, 17/64, 0, -9/32, 11533/18432, 0, -59/2304, 
  -2941/4608, -213427/9216, 0, 0, 0, -31253/2304, 202255/9216, 0, 
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  15/32, 67673/9216, -68933/2304, -3/16, -71963/9216, 3547/2304, 
  -108119/4608, -415483/4608, -200947/9216, -5101/4608, 507193/9216, 
  -86101/9216, 22799/512, 22799/512, 103705/4608, 8389/4608, -101417/3072, 
  2839/2304, 60955/9216, 20105/9216, -34949/2304, 52033/1152, 228227/9216, 
  -28367/512, -216521/4608, 528997/18432, -528997/18432, 0, 131/576, 
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  143/1536, 0, 13041/1024, 0, -69989/18432, -8951/1536, -808799/18432, 
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  -26207/6144, -99037/18432, 1801/4608, -105643/9216, 91/48, 34195/6144, 
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  452399/18432, 8081/18432, 127885/9216, -371963/9216, -1739/2304, 9341/1024, 
  -489589/6144, 41447/9216, 1133051/18432, -160105/18432, 116777/2048, 
  -2087/4608, 109249/18432, -656537/18432, -809/768, 641/768, 1799/192, 
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  0, 0, 0, 0, -3841/9216, -91/192, 0, 0, -92681/36864, 467/1536, 0, 
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  0, -25/256, -25/128, 11/128, 11/64, -127/768, -335/1536, -13/24, 0, 0, 
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  0, 43367/36864, -1319/1536, 65/96, 22163/4608, -29101/12288, -42499/2304, 
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  24455/2048, -4105/192, 37237/4608, 1303801/36864, 206065/9216, -965/1024, 
  741517/36864, -2747/3072, 133/72, -380765/12288, 2245/1024, -46717/18432, 
  98941/12288, -305471/18432, 1217/4608, 498121/12288, 50379/4096, 
  157981/18432, 270233/6144, -252959/18432, -1089415/18432, -243929/9216, 
  -45137/3072, 357/512, 744709/36864, -16753/9216, 397081/18432, -579/1024, 
  -8069/6144, -126259/18432, -45/1024, 45/1024, 0, -167/2304, -6791/6144, 
  -56653/4608, 0, -2891/4608, -614411/36864, 54283/4608, 0, -618415/36864, 
  64205/4096, 0, 585863/36864, 3241/3072, 129955/2304, 0, 0, 1241/1536, 
  590917/36864, -1566479/18432, 357157/18432, -397643/9216, 0, -360397/12288, 
  -406541/9216, 0, 3841/9216, 3241/3072, 4687625/36864, -145189/36864, 
  1213213/36864, 15479/1152, 0, 0, -1973567/36864, -100243/18432, 0, 
  -3841/9216, 0, 13885/9216, -298393/36864, 539981/18432, 0, -1165/1152, 
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  -1319/1536, -22475/1536, -1347577/9216, -63517/4608, 3391/1152, 
  -24797/2048, 520391/4608, -148457/9216, -89003/4608, 84883/6144, 
  -1111/9216, 307957/3072, 141655/2304, 122239/36864, -1014299/9216, 
  794291/36864, -4105/192, -111521/3072, 909725/36864, 206065/9216, 
  -13217/9216, 1170845/36864, -89461/4608, 12913/9216, -75593/18432, 
  96817/18432, -453505/36864, -50151/4096, -77233/18432, 1756031/18432, 
  347437/18432, 10585/1024, -166657/2304, 960185/36864, -21829/18432, 
  -1490339/18432, -52081/4096, 1743/256, -404069/18432, 198859/9216, 
  -153325/36864, 23693/18432, -83669/18432, -108707/4608, 125887/3072, 
  243869/9216, -341459/18432, 341459/18432, 0, 35/288, 79/288, 0, -5/128, 
  -79/288, 0, -95/1152, 0, 0, -4249/9216, 13009/2048, 0, 0, 19553/4096, 
  -88789/18432, 0, -124541/36864, 0, 3841/9216, -132667/18432, 306191/18432, 
  0, -171881/36864, 495205/36864, 42527/12288, 0, 3841/9216, -306191/18432, 
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  -193/288, 0, 0, 685/1152, -143735/9216, -43255/2048, 0, 577/512, 
  84473/9216, 0, -156121/18432, 0, 3409/9216, 157381/18432, 1027993/18432, 
  -176657/36864, -517681/18432, 616249/36864, -7657/9216, -591011/6144, 
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  11/64, 1091/3072, 281495/18432, 83699/1152, -483955/36864, -11107/512, 
  956539/36864, 223/4608, -396553/3072, 540467/36864, 104543/1152, 9/128, 
  17/64, 0, -7/64, -9/32, 64409/6144, -1651651/18432, 33583/1536, 46207/1024, 
  342269/9216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/64, -7709/18432, -91/192, 0, 
  0, -1639/4608, -12723/4096, 467/1536, -100567/36864, 32615/12288, 0, 
  89591/36864, 3391/9216, 13127/1152, 0, 3409/9216, 109141/36864, 
  -246181/12288, 93205/36864, -209915/18432, -89591/36864, -100675/9216, 0, 
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  13/24, 0, -13/24, 0, -13/24, -13/24, 0, 0, -1031/3072, -10229/36864, -5/48, 
  0, 5035/3072, 16795/3072, 55/96, -6931/9216, -167525/36864, -2171/6144, 
  -193/576, -530227/18432, 143/96, -9/128, -118037/36864, 1378325/36864, 
  -4787/9216, 12077/4608, 2171/6144, 53627/4608, 89513/9216, -131/512, 
  -15373/384, 293/6144, 437/9216, 26129/2304, 0, -341/768, -341/768, 25/256, 
  425/768, 175/384, -11/128, -11/128, 1175/3072, -93887/12288, 7619/3072, 
  13/24, -4187/2304, 55859/9216, -3823/3072, 2533/2048, 21623/9216, 
  1229/4608, 808903/18432, -5023/1536, 61493/36864, -412889/9216, 
  -11795/6144, -2773/4608, -21961/768, 81769/4608, -437/9216, -25/256, 
  -25/256, 11/128, 11/128, 25609/3072, -2989/1536, -13/24, -336677/36864, 
  1129/3072, -125423/4608, 3941/3072, 56081/2048, 174019/9216, 45/1024, 0, 
  -45/1024, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, 1/4, 0, 0, 1/4, 1/2, 0, 0, 0, 0, 0, 
  -1/4, 0, 1/4, -1/2, -5/4, 0, 0, 0, 0, 0, 13/24, 0, -1/8, -13/12, 0, 0, 0, 
  1/4, 0, -1/4, 0, 1/2, 0, -3/4, 1/2, 0, 0, 0, 0, 0, 0, 1/6, 13/24, 1/4, 
  -1/4, -3/4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -13/24, 0, 0, 0, 0, 
  -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 25/144, -25/144, -3/4, 3/4, -3/4, 0, -79/288, 
  0, 79/288, 0, 79/288, 0, -79/288, 0, 0, 0, 0, 0, 23/24, 0, 0, 0, 0, -1/8, 
  0, 1/8, 0, 0, -1/12, 13/24, -491/384, -25/288, 3235/1152, 25/288, -881/576, 
  -491/384, 0, 0, 0, -3/8, 0, 3/8, 0, 0, 7/8, 3/4, 0, -25/144, 0, 25/144, 0, 
  1/2, 0, -1/2, 3/4, 21/8, 0, -943/576, 0, 0, 467/288, 0, 1/8, 45/32, 7/12, 
  -7/16, 29/24, 5/6, 0, 1013/576, 0, 0, 0, 0, 0, 0, 0, 0, 409/576, 0, 0, 
  -301/288, 5245/6912, 0, 0, 0, -1/8, 0, 1/8, 0, -13/24, 0, 217/576, 
  -491/384, -2291/1152, -1033/576, 0, -10385/6912, 0, 0, 0, 0, 0, -3/8, 0, 
  3/8, 0, -3/4, 0, -97/576, 0, 25/144, 0, -1375/576, 0, 1303/576, -2291/1152, 
  193/288, 0, 1517/576, 703/144, -167/288, -5/24, -2483/576, -1/6, 0, 0, 0, 
  -9/4, 0, 1/6, 177/64, -1/3, 0, 1/2, -1/4, 595/144, -269/144, -5/24, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 1/16, 1/3, 0, 0, 0, 63/64, -5/4, 0, -11/6, -3/2, 0, 0, 
  0, 1/2, 0, -1/2, 0, 31/24, 0, 25/24, -23/24, 0, 0, 0, 3/4, 0, -3/4, 0, 5/4, 
  0, -107/24, -1/4, 0, -5/16, -1/16, 0, 0, 0, 0, 1/8, 1/3, 1411/3072, -1/2, 
  17/12, 125/768, 2011/3072, -859/3072, 1/2, 26773/18432, -3197/9216, 
  -899/3072, 0, 17/4, 0, 0, -17/12, 0, 1/8, -1411/1536, -17/12, 1411/3072, 
  -13/8, -23/24, -2185/3072, 385/512, 1/2, 1/2, -1/2, -1/2, -1, -1/2, 1/2, 
  1/2, 0, 0, 0, -1/4, -1/4, 1/4, 113/64, 0, 1/4, 0, -1/4, 0, 0, 0, 0, -29/24, 
  2/3, 0, 0, 0, 1/2, 0, -1/2, 0, 0, -53/24, -3/4, 0, 0, 0, 3/4, 0, -3/4, 0, 
  0, -7/4, -19/8, 3433/1536, -2345/1536, -17/24, -60541/54272, -60541/27136, 
  60541/54272, 0, 0, 0, 0, 0, -5521/1536, 5201/3072, -2041/1536, 4433/3072, 
  0, 0, 119/48, 0, -2897/3072, -5521/1536, -1411/3072, 8017/3072, 145/64, 
  3/8, 5/6, 0, 0, 0, 0, 0, 0, -43/576, 0, 43/576, 0, 43/576, -43/576, 0, 0, 
  0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 13/24, 0, 0, 0, 0, 0, 0, 0, 0, -3/8, 
  3/4, 0, -43/576, 0, 43/576, 0, -101/576, 0, 101/576, 0, 0, 0, 679/288, 1/6, 
  0, 851/192, -41/288, -299/384, 11/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29/1152, 
  1/12, 0, -5/3, 0, 0, 0, 0, 0, 0, 0, 0, -19/24, -13/24, 1015/1152, -293/384, 
  0, -17/144, -55/32, 1/288, -17/72, -1/288, 0, 0, 0, 0, 0, 0, 0, 0, -51/8, 
  -3/4, 0, 0, 0, 0, -79/144, 0, 79/144, 0, -1085/576, 0, 511/288, 0, 0, 
  -23/48, 0, 9/4, 0, -2069/1152, -7/3, 0, -61/48, 67/24, 5/24, -11/24, 0, 
  25/288, 0, -25/288, 0, -3/16, 0, 3/16, 0, 0, -3/16, 0, 0, 19/24, 1/4, 
  -19/24, 191/2304, -3/16, 11/12, 13/24, -97/2304, 211/384, 635/384, 61/144, 
  0, -61/144, 0, -43/288, -1/16, 115/288, -41/48, -259/288, 3/16, 331/288, 
  -7/24, -3/16, -563/384, -3/16, -3/16, 3/16, -899/2304, 563/768, 17/36, 0, 
  515/2304, -23537/6912, -17/8, -5011/1728, 17/8, 2479/2304, 143/1728, 
  -6869/3456, -3/16, -803/2304, 3211/1152, -19147/6912, 7097/1728, 
  17141/6912, -491/192, -1357/1152, 0, 3235/1152, -24551/6912, -2873/576, 
  -3/16, -9/8, -851/384, 427/384, 3007/6912, 9/16, -635/384, 0, -67/96, 0, 
  67/96, 0, 2221/1152, 1/4, -1241/576, 2/3, 3425/1152, -3/16, -1789/576, 
  -1/6, 3/16, 0, -2267/768, 12107/6912, 0, 2137/384, 0, 2221/1152, 
  -7895/2304, -2417/576, 5/48, 3511/2304, -269/2304, -4349/1152, -3305/1152, 
  -3041/1728, -491/384, 9235/3456, 0, 1561/432, 17/16, 0, -9/16, -779/384, 
  -6683/2304, 26059/6912, 3/8, -17141/6912, 0, 217/288, 66509/9216, 
  3095/3456, -249959/27648, -21571/3456, -1993/4608, -409/576, 491/384, 
  -92263/27648, 301/288, 1525/6912, -12919/6912, 34957/4608, -1525/6912, 
  -117479/27648, 92263/27648, -92263/27648, 0, -457/576, -19699/3456, 0, 
  7/24, 0, 433/288, 86921/6912, -7/24, -15841/2304, 21571/3456, -21571/3456, 
  65329/27648, 92263/27648, 92263/27648, 19699/3456, -92263/27648, 0, 
  1993/13824, -407/72, -142411/13824, -1/6, 221/108, 2311/3072, -51941/13824, 
  -95443/27648, -60947/4608, -38569/9216, -1427/1152, 681103/55296, 
  -11933/27648, -437/384, -144889/55296, -3923/576, -1549/1152, -1/6, 
  437/384, 231683/55296, 1549/1152, -43397/27648, 437/384, 168755/55296, 
  -4403/1152, -27665/13824, -11933/27648, -941/288, 49121/13824, 92263/27648, 
  -13/12, 224033/13824, -137/288, -10385/6912, -115/24, -158503/6912, 0, 
  -206713/13824, -163571/13824, -47003/1536, 158503/13824, -65329/27648, 0, 
  775/576, 29411/13824, 0, -1403/1152, 0, 1333/1152, -190889/27648, -17/12, 
  47119/13824, -1807/1152, -242453/27648, 1291/1152, 419167/27648, 
  183631/27648, 0, 7/128, -19699/3456, 0, 965/576, 0, 5245/1152, 47545/3456, 
  -1061/576, -1547/192, -757/576, 24595/3456, -19/96, -28333/3456, -5/24, 
  4489/4608, -106519/55296, -3331/576, -3437/1536, -475/576, 0, 
  -158503/13824, 0, -171059/13824, -1261/9216, -34561/3456, 92263/13824, 
  -366523/55296, 0, 331901/488448, -254045/54272, 0, -24701/4608, 0, -1/16, 
  -331901/488448, -1/3, 0, 13859273/976896, 0, -291197/976896, -52093/9216, 
  0, 179261/30528, 50/3, 0, 329539/30528, 0, -63/64, -179261/30528, 5/4, 0, 
  -369395/30528, -1/6, -85133/61056, 114995/61056, 0, 9/4, 25/2, 0, -9/4, 0, 
  -63/64, -23049/1024, 9/2, 3727/2048, -109/16, 17/48, 13/2, -156277/6144, 
  -16045/3072, -2179/3072, -7555/9216, 2179/3072, 7555/9216, 0, 3197/3072, 
  -387/512, -7555/9216, 387/512, -482179/488448, 594665/325632, 15/16, 
  -9341/4608, 3/16, -1/8, 400771/976896, -1/3, -385/1024, -1/4, 7805/9216, 
  -2/3, -1/2, 131/768, -2011/1024, -100579/30528, 0, 859/1024, 70051/30528, 
  -3/2, -1/8, -610535/976896, 3709/3072, 257/512, 1/8, 130925/61056, -1/6, 
  -119/3072, -1411/1536, 2179/3072, 2579891/488448, -594665/162816, 
  -2179/3072, -2181943/244224, 0, -3197/3072, -100571/27136, 7555/9216, 
  -387/512, -6447/108544, 2/3, -60541/27136, 307003/325632, 0, -3/4, 0, 0, 
  3/4, 0, 33/64, 8451/1024, -5/6, -131/2048, 169/48, -147/16, -5/2, 
  19213/2048, 20611/3072, 0, -13/4, -25/2, 0, 73/12, 0, 89/64, 37891/3072, 
  -131/12, -131/2048, -41/48, 463/48, -41/6, 74261/6144, -7403/3072, 
  4147/1536, 2579891/488448, -594665/325632, -3763/1536, -65335/244224, 7/4, 
  -3197/3072, -22111/976896, 2179/4608, -3221/3072, 411/128, -3237691/325632, 
  21/16, 47/24, -805/1536, 869/1536, -283/512, 0, 0, 0, 0, 0, 0, 315/1024, 
  -5/8, -3/4, 5251/6144, 3675/1024, 0, 0, -1021/6144, 3/16, 60541/27136, -5, 
  -60541/27136, -60541/54272, 60541/54272, 283/128, 51/2, -187/128, -51/2, 
  -1937/1536, -1, -13, 1/2, -248433/108544, 25/2, -302705/54272, 
  -302705/108544, 1/2, 31/2, 632457/108544, -1/2, -1/2, -1, -252553/54272, 
  1/2, -127351/108544, 0, 1/4, 0, 0, -1/4, 0, -9329/3072, 97/8, 2897/3072, 
  3715/6144, -91/1024, -25/2, 2075/1024, 74243/6144, 203/16, 0, 227/48, 
  -15/2, 0, -9809/3072, 0, -10481/3072, 20477/3072, 12625/3072, 3715/6144, 
  9233/3072, 187/24, 5/3, 17409/2048, 49/48, 3433/1536, -724343/108544, 
  -2345/1536, -21/2, -29/24, -60541/54272, 162301/13568, -5/6, -60541/54272, 
  -302705/108544, 0, 0, 0, -29/576, 29/576, 0, 0, -43/288, 0, 43/288, 0, 0, 
  0, 0, 0, 307/576, -307/576, 1/4, 0, 0, -9/4, 0, 9/4, 0, 679/288, 0, -25/12, 
  0, 1147/288, -7/24, -109/192, -427/384, -3/8, 0, 1/2, 1/2, -5/2, 5/6, 
  1015/1152, 0, -293/384, 0, -17/144, 1/288, 0, 0, -13/24, 1015/1152, -55/48, 
  -293/384, -1825/864, -17/144, 1349/1152, -1/432, 1549/864, 1/432, 55/48, 
  13/24, 4831/864, 511/432, -13/24, 0, 0, 0, -219/1024, 1155/1024, 0, 
  -1155/1024, -5/6, 5/6, 13/12, 0, -79/144, 0, 79/144, 0, -219/1024, 
  1155/1024, 0, -1155/1024, -1901/576, 0, 919/288, 1/24, 13/12, 0, 85/48, 0, 
  0, 0, -18755/9216, 1155/1024, 0, -1155/1024, -77/48, 0, 31/12, 5/2, 7/4, 
  55/24, -427/432, 0, 1/216, -55/24, -275/432, -1/216, 0, 79/144, 0, -79/144, 
  0, 55/32, 563/288, 17/72, 1/288, 1229/576, 0, -583/288, 1/72, 0, 0, -35/12, 
  -2815/864, 0, -4273/864, 0, 5369/1152, 1405/432, 4201/864, 5/864, 35/12, 
  2833/432, 727/864, -179/54, -2851/864, 563/432, -10/3, -1/2, -347/216, -1, 
  923/432, 0, -79/288, 0, 79/288, 0, 0, 0, 0, 2105/2304, -1039/1152, 0, 
  -359/576, 0, 359/576, 0, 0, 15311/1024, -16247/13824, 0, -135013/9216, 0, 
  -127289/9216, 38765/1024, 124577/9216, -320063/9216, 0, 469/256, -67/384, 
  0, -193/96, 0, -42403/3072, 246161/27648, 116297/9216, -58499/1536, 
  413/1152, -1909/1536, 1145/1152, -43571/9216, -683/576, 0, 15/16, 15/16, 
  2621/96, 0, 0, 0, 0, 0, 0, -203/18432, 539/384, -199/192, 13/48, 0, 0, 0, 
  0, 0, 0, 491/768, -241/384, 0, 1357/1152, 191827/27648, 0, -3451/2304, 0, 
  0, 103057/9216, -426397/18432, 0, -90629/9216, 0, -42235/3072, 
  1049491/18432, 34555/3072, -281617/6912, 0, -1543/2304, -658025/55296, 0, 
  977/256, 0, -155881/9216, 220709/6912, 118465/9216, -90343/1728, -9/64, 
  15621/2048, 1135/576, -41155/2304, 0, 43/576, 0, -43/576, 0, 0, 0, 0, 0, 0, 
  0, -17173/2304, -521/2304, -2215/768, -899/576, -77837/18432, 33235/3072, 
  -117203/18432, 12199/9216, 0, -41/192, -67/384, 0, -49/128, 0, 0, 
  24353/4096, 11387/6144, 0, -115897/36864, 0, -140873/36864, 277979/36864, 
  85433/36864, -339119/36864, 0, -8599/2304, 1343/1536, 0, 415/768, 0, 
  39991/36864, -3759/4096, -525587/36864, 1993/576, -5947/1024, 971/1152, 
  -12833/9216, -5089/4608, 0, 0, 0, 0, -137785/18432, -79/192, 0, 11537/2048, 
  0, 136745/18432, -291023/18432, -34099/6144, 298607/18432, 0, 0, 0, 
  -130477/9216, 90877/9216, 36313/512, 785/1536, 0, 79/576, 0, 0, -79/576, 0, 
  0, -8299/9216, 161/384, 0, 367/288, 0, 31/384, -2723/6144, -223/576, 
  -79/384, 0, -23575/9216, -5/2, 0, 10039/9216, 0, -10101/2048, 52723/18432, 
  -105865/9216, -187433/18432, 17/16, 90089/18432, 102149/4608, 308467/9216, 
  0, 0, 0, 0, 0, 0, -13/24, 0, 13/24, 0, -25/256, 11/128, 0, 0, 0, 0, 0, 0, 
  -103/72, 0, 129929/18432, -306191/18432, 109/72, 306191/18432, 0, 0, 0, 
  -2057/1152, -7/576, -12283/4608, 0, 0, 0, -29/1152, 1/12, 0, 0, 0, 0, 
  -377/288, -2183/2304, 0, -491/768, 241/384, -967/2304, 0, 0, 0, 0, 67/384, 
  0, 1717/1152, 0, 10257/2048, -342335/18432, -1813/1152, 339119/18432, 0, 0, 
  0, -3439/1152, 389/192, 11995/4608, 0, 235/288, 25/288, 0, -13/12, -25/288, 
  0, 77/288, 0, -3353/2304, 445/288, 0, 2647/2304, -409/288, 353/1152, 
  -6713/2304, 3/16, 1327/1152, -35/24, -491/384, 0, 3235/1152, 0, -881/576, 
  21/256, 0, 0, 899/2304, -15/32, 15/32, 15/32, -4969/2304, 385/576, 
  4969/2304, 413/1152, 4715/2304, -8423/2304, -413/1152, 0, 452351/18432, 
  -76321/110592, 0, -836279/18432, 106777/110592, 0, 32165/1536, 0, 
  27709/4608, -437/1536, 254935/110592, -1793/1536, 222977/55296, 34399/4608, 
  719/4608, -2510249/147456, 1665/512, -1484297/55296, -21889/4608, 
  -300657/8192, -2322569/147456, 0, -10981/4608, -16183/24576, 0, 
  137557/36864, 15337/24576, 0, -25111/18432, 0, 0, 0, -7133/2304, 
  -596303/110592, -73331/18432, 5154091/73728, 9202549/221184, 
  20552725/110592, -9386293/110592, 8161/4608, -70997/73728, 0, -5621/4096, 
  33793/36864, -61481/36864, 4768667/73728, 4842275/110592, 10310725/55296, 
  -1570055/16384, 108155/36864, -3/16, -45011/36864, -6697541/442368, 35/24, 
  0, -148163/9216, 0, 0, 433471/110592, -452809/110592, 0, 738199/110592, 0, 
  -15/16, 186093/8192, 101/32, 110071/4608, -3706991/36864, -142789/6144, 
  5188651/73728, 9093109/110592, 49464331/110592, -9412213/110592, 
  142523/9216, -1586927/13824, 1243/768, 166601/110592, 13113985/221184, 
  -403469/55296, 1160879/36864, 9851269/110592, 30150259/55296, 
  -4607773/55296, 6288881/55296, -257/128, -2903795/55296, -29499193/221184, 
  9/16, 0, -359/576, 0, 359/576, 0, 0, 387295/18432, 7283/13824, 0, 
  -308227/18432, 0, -126409/6144, 965425/18432, 34227/2048, -109957/2048, 0, 
  4783/2304, 21/128, 0, -451/576, 0, -151337/6144, 1015385/36864, 35595/2048, 
  -9014905/110592, 155/2304, -1027/3072, 841/2304, -900517/36864, 10429/9216, 
  0, -2462117/36864, 0, -15/32, -12060953/36864, 2273359/36864, -15/32, 
  34367551/110592, -3/16, -15/64, 9561973/221184, 0, 66783127/221184, 
  3283549/18432, 15/64, -15/64, 15/32, 13134589/147456, 419/384, 
  3261077/18432, -57416089/442368, -97/576, -15/64, -31423781/442368, 
  -29920273/147456, -15/64, -3347689/147456, -3419/2304, 8423/2304, 
  3347689/147456, 0, -471455/18432, 235/432, 0, 49805/1024, -11327/13824, 0, 
  -427087/18432, 0, 14849/1024, 2443331/221184, 5723/73728, -395327/13824, 
  -251813/55296, 1449851/110592, -861637/9216, 82189/3072, 27058511/221184, 
  13723255/221184, -223/1536, 60515/36864, -254935/110592, 1017/2048, 
  -295421/55296, -33715/4608, 2676085/73728, 2004589/110592, -27653/4096, 
  -6865037/147456, -105/32, 1484297/55296, 29641/4608, 2942357/110592, 
  2322569/147456, 0, -445831/9216, 80831/12288, 3145/110592, 0, 600431/9216, 
  -1059889/110592, 0, -120619/4608, 0, 113377/9216, -36144487/221184, 
  -407851/221184, -518483/55296, 1152365/9216, -75031/110592, -852997/9216, 
  15645895/55296, 122222291/221184, 13619575/221184, 122249/6144, 
  -150811/13824, 1434155/55296, -73961/6144, -151895/55296, -3911/576, 
  4026397/73728, -18080965/442368, 15336971/36864, -6733165/49152, 
  -96515/6144, 4300459/442368, 37271/1152, -10439557/442368, 0, -2441/192, 
  2621/192, 2531/96, 2531/96, 2531/96, -2441/192, -2531/48, 2531/96, 2531/96, 
  2531/96, -2441/192, -2711/192, -2171/192, -89/36, -655/1152, 2621/96, 
  1441/144, 13/6, 0, 0, 0, -2441/192, -9229/1152, -847/576, -13/48, 
  -2531/192, -13087/576, -9197/2304, -2041/2304, -241/384, 7535/1152, 
  -17843/2304, -32977/2304, 71/96, 2839/1152, -1789/2304, 5963/288, 
  13897/576, 13/6, 0, 83/192, 0, 83/192, 0, -2441/192, -9229/1152, -847/576, 
  -13/48, -2531/192, -3287/288, -9197/2304, 3655/2304, -83/192, -241/384, 
  7535/1152, 103645/2304, -32977/2304, -4991/96, 2839/1152, -479/2304, 
  -8543/144, 0, -83/384, 0, 83/384, 0, 0, -83/384, 0, 1273/576, -13/16, 0, 
  -1267/2304, 0, -15/32, 3347/128, -223/384, -2531/96, -103/144, 4711/2304, 
  -875/2304, -3451/128, -2839/2304, 15/8, -15/32, 13/8, 0, 2621/96, -4927/96, 
  -4279/384, 2531/48, 1243/24, 8897/384, -2531/48, -2621/192, 11471/576, 
  5999/192, 13/6, 0, 439/128, -17387/1152, 0, -2965/1152, 0, -33809/3072, 
  -1121/96, -131999/2304, -607/288, -7361/2304, 102863/4608, -163/288, 
  12751/576, -1789/2304, -3647/1152, 315203/9216, -12055/1152, -3179/256, 0, 
  -469/1152, 377/64, 0, -4147/2304, 0, -33809/3072, -15/32, -947/1152, 
  -38665/1152, 0, 1231/3072, -71/256, 109225/2304, 4331/2048, -2065/4608, 
  1055/2304, -15/32, 3019/96, -11305/1152, -2531/48, 1191/128, -7673/256, 
  -1573/192, -78919/1152, -2975/576, 0, 0, 0, 0, 0, -491/768, 241/384, 15/32, 
  -11155/6912, 24115/6912, -8399/3456, 8399/3456, -1/4, -1/4, 23/36, -8/9, 
  -4/9, -23/36, -391/288, 391/288, -25/18, -41/36, -16/9, -391/288, 25/36, 
  391/144, 15/32, 0, 0, 0, 1, 0, 446123/18432, -376847/18432, -1147/4608, 
  5447285/110592, -831/512, -15/256, 63/128, -1369/768, -779/128, 
  -161596979/1105920, 9059/2304, 165180809/1105920, 308675/55296, -8399/1728, 
  0, -485/768, 0, 65435/27648, 358651301/1658880, 0, 527/576, 0, -275/192, 
  359906291/1658880, -42967/1536, 882415841/3317760, 42937/2304, 
  -3337241/138240, -361835681/829440, -623198851/1105920, 358952801/1658880, 
  955/768, 71273/17280, -125447/27648, -360063941/1658880, 991/1152, 
  2231911/138240, -336779069/1658880, -29820767/51840, 301749557/1658880, 
  -286033/276480, 119/384, 678067/69120, 0, 151/576, 64474553/1105920, 
  -354442721/3317760, 0, -14747/9216, -72182257/122880, 0, 8581/4608, 0, 
  -823/768, -658241/18432, 355910081/829440, 10459/6144, 54285629/46080, 
  -21601/12288, -3340601/138240, -357871073/663552, -217813051/368640, 
  360066731/1658880, 403/1152, -77797457/552960, 67794265/331776, 
  -15113/9216, 218327971/368640, 3229/2304, 16917397/276480, 
  -724278899/1658880, -327938189/552960, 258875491/1105920, 92500421/1105920, 
  -321944729/3317760, -3445/1536, 27600253/1658880, -15/32, 0, 41/48, 
  29411/27648, 0, -607/768, 0, 0, 391579/18432, -423863/55296, 0, 
  -295235/18432, 0, -383339/18432, 196475/3072, 308267/18432, -3171509/55296, 
  0, -463/144, -7765/6144, 0, 41/288, 0, -408659/18432, 31162777/184320, 
  320147/18432, -121347221/552960, 287/384, -57073/55296, 305/288, 
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