{{1, -2, 2, -3/2, 2, 6, -5, -3, 3, -9/2, 6, -1, -3, -1, 2, 3, -3/2, 4/3, 3, 
  2, 3/2, 2, -6, -1, 1, 1, 1, -1/2, -2/3, -1/2, 5/2, -5, -9/2, 6, 36, 9/2, 
  -6, -36, -29/4, 10, -23/4, 9, 11/2, -791/36, 389/60, -683/108, 9, -10, -3, 
  -7/4, 137/20, -4, -437/20, -25/2, 7, 5, 123/20, 3, -377/20, -237/20, -9/4, 
  723/40, 3/2, -17, 437/40, 677/20, 207/10, 205/4, -1529/120, -1571/45, 
  -155/108, 11/2, 1/2, 5, -35/2, 3/2, 19/2, -1017/40, -671/120, 53/2, 
  2231/120, 177/10, -611/45, -1471/120, -754/45, -88/27, -9/2, 5, 3/2, -31/4, 
  -77/40, 19/2, 1157/40, 19/4, 1, 7/2, -1083/40, -24, 24, 93, -9, -24, 77/2, 
  -41/3, 136, -108, -1354/5, 24, 331/20, -37, 43/3, 38/3, -136, -27583/90, 
  102, 1354/5, -331/20, -6199/54, -43/3, 27583/90, 6199/54, 3, -3/2, 9, 1, 
  -6, -5, -3, 3/2, -8, 2, 3, 5, -3, -15/2, 6, 2, 4, 1/2, 13/40, -13/3, -7/2, 
  -197/40, 5, -29/3, 437/40, 29/4, -5, 1/2, 3, -3/2, -221/40, -131/180, 
  -65/6, 1489/360, 155/108, -3, -33, -113/20, 1111/60, 195/4, 217/20, -19, 
  187, -131/30, -2957/20, -7447/20, 1113/40, 5449/180, 2039/60, -86087/180, 
  -9883/54, 5/4, 99/10, -1111/60, 15/4, -217/20, -3, -67/4, -199/30, -163/20, 
  23/20, -3, -5449/180, -749/60, 2479/90, 1169/108, -9, -3/2, -1, 15/2, 6, 
  -3/2, 21, 17, -18, -20, -4, 4, 3, -9, -3, 12, 69/2, -42, -159, -21, -27, 
  -531/10, 27, -32, -37/4, -1, 109/2, 3, -37/2, 1073/5, 16/3, -172, -5918/15, 
  1213/40, 611/36, 961/60, -83011/180, -4519/27, 25, 1, -105/4, -6, -21/2, 
  -1491/10, -611/60, 83, 14951/60, 24, 18, 8713/180, -27, -2, 5, -3/2, -9/2, 
  -5, -15, 9, 15, -3, 101/8, -19, -3/2, 1/2, 3/2, -1/2, -17, 1, 14, 17, -14, 
  -1, 67/4, -7/4, -9, 9/4, 3/4, 93/8, -9/2, 1, 1, 17/2, 8, -1/2, -7, -7, 
  17/2, -1/2, -7, -9, 7, 1/2, -93/2, 3, 1147/16, 35/16, -27, 111/16, 173/8, 
  581/24, 17/2, -1/2, -7, -17/2, 7, 1/2, -21/2, 1/2, -5, 113/8, -9/16, -33/2, 
  339/8, -2, -55/16, 17/2, -1/2, 3/2, -1/2, -7, 17/2, -1/2, -7, -1/2, -17/2, 
  7, 1/2, -29/4, 3/4, 5/2, 1/2, -17/2, 125/16, 1/2, 381/16, -4, -21/2, 9, 
  19/6, -19/4, -1/2, -7/4, -1/4, -19/48, 1/4, 1, -89/8, 41/4, -1, 25/12, 1/2, 
  2, -1/2, -2, -2553/16, -1449/8, 207/2, 27/4, 9/2, 2553/16, -9, -27/4, -9, 
  35/4, 1449/8, 3195/8, -207/2, -9/2, 9, -9/4, -67/4, -3123/8, 9/4, 981/8, 
  -82, -2991/8, -981/8, 18, 88, 2991/8, -18, -63/16, -153/8, 1361/16, 39/8, 
  -201/4, -38167/108, -2511781/3600, 681509/6480, -351/8, 177/8, 53/4, 
  -929/16, 48417/200, 201/4, -33909/400, 117/8, -61/4, 7/4, -10573/50, -23/8, 
  -183/4, -499/25, -133651/600, 7/4, -309869/800, 49/4, 61/6, 69011/600, 
  156319/800, -2411/60, 8263/400, 232801/1800, 818221/7200, 298579/10800, 
  -18055/648, -1559/16, -55/2, -181/16, 3017/16, 533/16, -80, 141501/800, 
  -202747/2400, -1087/4, -137153/2400, -17993/600, -3133949/10800, 
  -3243241/7200, 539347/5400, 75833/810, 369/16, -197/16, -7, 965/8, 
  -75049/800, -161/2, -59851/800, 2, 23/8, -49/2, 93799/800, 23/16, -5/4, 
  -5/2, 7/4, 1/2, -19/2, 15/2, 693/2, -419/2, -2465/4, 15/2, 1/2, 7, 346, 
  405/8, -3, -1065/2, -437/8, 2179/12, -2537/8, -3155/8, 195/2, -247/2, -60, 
  5957/30, -3, -345, 17357/400, 266249/675, 1205/2, -20047/144, -5443/24, 
  11229/32, 853789/2700, 3383/16, -23873/120, -37207/400, -3901763/8100, 
  28291/144, 438247/5400, 29243/324, -3/2, 8, -6, 91/16, -205/16, -3837/16, 
  -124/3, -297/8, 715/4, 51/2, 8573/48, 3/2, 7/2, -8, 3, -555/16, -35/16, 22, 
  3789/16, 1445/24, -2461/16, -8573/48, 1, 12, 12, -151/8, -9, 869/16, 7/16, 
  1, -249/16, -271/16, -13, 17, -57019/800, 14, 73/2, -138499/800, -75/2, 
  -18, 64/3, 40499/800, 1, -215/4, 41/24, 11/4, 1095/16, 29/8, -27, 
  59133/800, -938561/10800, 4133/180, -1122671/21600, 7/16, 212287/6480, -17, 
  1, 14, -17, 1, 14, 1, -9/4, -1/4, -103/12, 3/4, 28/3, 5/2, 1/4, 13/12, 
  -3/4, -3/4, 1917/4, 12617/200, 122051/600, -12021/16, 170359/400, 6397/24, 
  -48989/96, -279683/300, -69621/100, 38909/120, 19539/200, 235733/5400, 
  -4090831/3600, 690571/2700, 221197/3240, -1235/16, -7667/200, -130451/600, 
  787/16, -198359/400, 33/4, 2455/48, 107519/400, 175859/400, -363/20, 
  -1535/24, 141467/270, 2992831/3600, -22199/135, -143951/1620, 877/4, 89/8, 
  15, -5407/16, -333/16, 121, -139, -2287/16, 241/8, 175/3, 69/4, -21/4, 3, 
  -549/16, -9, -17/8, 6277/16, -491/2, -99, -5987/16, 5089/8, -2425/8, 
  6307/8, -10869/40, 567/8, 4787/8, 1299/16, -17/4, -15937/16, -1651/16, 
  2185/6, -14851/25, -820, -605/8, 26801/60, 48929/1200, 5124083/5400, 
  1364731/3600, 811771/5400, -1295879/6480, -1245/4, -145/8, 13/2, -1615/8, 
  109/4, 505/2, 224183/200, -104651/600, -3881/16, -1550723/1200, 2009/6, 
  -29/4, -12787/16, 141941/540, -603/8, 647/12, -85/3, 1, -217619/2700, 
  -647/12, -308867/3600, 85/3, 233473/5400, 1947/100, 899507/8100, 
  378959/3600, -25667/1080, -4933/162, -3, 4, 1, -851/48, -95/16, -161/8, 
  343/8, 23/2, 3/4, 1/2, 851/48, 95/8, -351/8, -3/4, -95/16, 3, 9, -41/48, 
  77/4, -7/6, 161/8, -925/16, -23/2, -1/2, 41/48, 569/100, 1/6, 7949/400, 
  -1247/50, 5/6, 4441/150, -25/6, -83303/1200, -1808/75, -4, -12, -49/48, 
  2569/48, -97/3, -317/24, 511/16, 439/48, 2795/24, 1117/16, 11/2, -7/48, 
  -39/2, 13/6, 949/16, 7/48, -136/25, -13/6, -8149/400, 1247/50, -141/16, 15, 
  -1/6, -7441/150, 10, 3683/75, -25/3, -49/96, 39/4, -449/16, -100031/2400, 
  209/12, -949/32, -1777/48, 511/32, 7/6, 3658/75, -65/6, -5462/75, 25/2, 
  6941/300, -10991/300, -2863/400, 17611/1200, 5/6, -5/4, 23/12, 17/2, -1/2, 
  -7, -17/2, 7, 1/2, -9, -1829/25, 25/2, 279/16, -20, 43789/400, 1/2, 
  7241/100, -25/2, 7191/100, 5/4, -14717/2400, 41/48, -31483/2400, 7/6, 
  -161/8, 124033/2400, 23/2, 1/2, 14717/1200, 217619/2700, 865/16, 
  105443/1440, -61/2, 851/48, -187619/4320, -215639/2400, -3/4, -14717/2400, 
  -899507/8100, -11567/144, 517543/21600, 4933/162, -17/2, -8, 1/2, 7, 7, 
  -17/2, 1/2, 7, 9, -7, -1/2, 9895/96, -1264/25, 4141/100, -5939/24, 
  144347/2400, 459/4, 139/24, 166091/2400, 6897/100, -4297/32, 7303/100, 
  119987/2700, -52381/900, -2324519/10800, -12539/324, -17/2, 1/2, 7, 17/2, 
  -7, -1/2, 10, 1829/25, -19/2, -3425/48, -14717/1200, 160/3, -2333/24, 1/2, 
  -7241/100, 25/2, -2815/48, -5/4, -17/2, 1/2, 7, 17/2, -7, -1/2, 1/6, 
  7441/150, -1, 1804/75, -25/6, 49/96, 14717/2400, -39/4, -1039/24, 
  14219/400, 323/12, 949/32, -159167/2400, -511/32, -7/6, -3658/75, 25/3, 
  5/12, -4683/160, 10991/300, -30893/600, -1367/160, -5/6, -23/12, 
  217619/2700, 647/12, -85/3, -899507/8100, 4933/162, -217619/2700, -647/12, 
  -308867/3600, 85/3, 233473/5400, 1947/100, 899507/8100, 378959/3600, 
  -25667/1080, -4933/162, 2969/48, -3091/300, 1, -1273/16, 379/75, 79/3, 
  -40511/1200, 217619/2700, 315383/3600, -233473/5400, 561/25, 216269/2700, 
  202391/3600, -1275583/16200, -4933/162, 2, -233/16, -169/16, 637601/10800, 
  643109/3600, -16379/1296, -2/3, 7471/120, 1/3, -3733/50, -1/3, -5587/75, 
  22473/200, 4255/96, 805/16, -115/4, -15/8, -5/4, -4255/96, 5/2, 15/8, -5/2, 
  59/24, 805/16, 1775/16, -115/4, -5/4, 5/2, -5/8, -83/24, -1735/16, 5/8, 
  851/4, -402821/10800, 483/2, -138, -9, -6, -851/4, 297683/5400, -1347/50, 
  9, -38509/2160, 49/48, 308867/3600, -2569/48, 308867/3600, 97/3, 
  -12469/200, -14741/300, -511/16, -439/48, -669931/10800, -13393/144, 
  -253463/2160, -31607/1080, 655/48, 379067/3600, -367/24, -4347/16, 
  -18018/25, 621/4, 27/4, -655/48, -164023/900, 655/24, 35361/50, 11081/144, 
  851/48, 934601/10800, 1777/24, 154517/3600, -239/6, -237523/5400, 
  -1997/100, -851/48, -1991389/16200, -221009/3600, 26477/1080, 47159/1296, 
  317/16, 1/4, -25/2, -1777/24, -813/16, 239/6, 1/2, -317/16, 11/4, 29/2, 
  797/16, -3, 217619/2700, 647/12, 308867/3600, -85/3, -233473/5400, 
  -1947/100, -899507/8100, -378959/3600, 25667/1080, 4933/162, -49/48, 
  2569/48, -97/3, -317/24, 511/16, 439/48, 2795/24, 1117/16, 11/2, -4175/24, 
  -39/2, 335/3, 4313/8, 4175/24, -811/25, -362/3, -100037/200, 2597/50, 
  575/12, -6407/600, 287/32, -118, 3803/2400, 317/6, -44273/4800, 
  315277/4800, 18987/400, -225187/4800, 8609/400, 2431553/7200, 2672639/4800, 
  -328799/5400, -21001/216, 891/32, -351/32, -33/4, 8095/96, -304567/1600, 
  -667/12, 146317/1600, -7/2, 125/16, -9/2, 251617/1600, 69/32, 1955/48, 
  6577/400, 68753/600, 301/12, 300639/1600, -91/3, -523/48, -14729/300, 
  -609967/4800, 1873/48, 4691/2400, -275371/3600, 606749/14400, 
  1294571/21600, 118601/6480, 4373/48, 367/150, 101/16, -2657/16, 
  -12311/1200, 199/3, -219133/2400, 262967/2400, 70687/400, -49817/2400, 
  3761/120, 3280589/10800, 3157933/7200, -110351/1080, -73193/810, -297/16, 
  117/16, 11/2, -5411/48, 92189/800, 413/6, -10739/800, -71/12, 15439/600, 
  101/6, -416623/2400, -30653/1200, 421/16, -37/2, -1905/16, -179/12, 937/16, 
  -303/4, 885/16, 4121/48, -447/16, -20693/300, 858013/21600, -15669/200, 
  -482423/2160, -1349161/21600, 73303/1200, -6107/600, -13963/400, -23/3, 
  -667043/10800, 26, -4907/600, -641/16, -20/3, -3231/100, 19/12, -7441/600, 
  -5/4, -213/2, 697/12, 29183/300, -1, 201257/1200, 1/3, -448297/2400, 
  -67119/400, 1/2, 7391/400, 3/2, -7391/400, -1, -7491/400, 22173/400, 1/2, 
  -5/2, -21973/400, 2, -153/16, -103/32, 24657/400, 7/12, 1/2, -22173/400, 
  22173/400, 32139/800, 22173/400, 1805/48, 39857/600, 20341/600, 7735/24, 
  9427/240, -614/3, -154309/600, -179/3, -15527/40, 255043/1200, -92381/480, 
  -4435/54, 1107839/7200, 4822729/21600, 11999/324, 19/6, 7441/600, -5/2, 
  -245/4, -1/4, 247/6, 112559/600, -3, -67519/600, -4/3, 71921/480, 
  22473/200, -5393/32, 70839/800, 125/4, 5499/16, -24257/400, -3461/24, 34, 
  -8605/96, -2873/16, -134861/800, 419/4, 1783/96, 19/4, 5329/32, 
  -230081/1200, -426247/1350, -867/2, -181037/3600, 389/2, -2813/32, 
  248821/540, 134589/800, -1699/96, 48569/480, 1678891/4050, 82447/450, 
  -1620623/4320, -42137/324, -8905/96, -348589/2400, -109/4, -207/16, 
  7427/75, 563/12, -49/96, 23533/48, 25567/96, 2645/24, -14702/75, -273/4, 
  -18869/48, 365/16, 511/32, 8617/96, 119789/1200, 580037/5400, 1217/48, 
  616063/3600, -245/4, -577261/1200, -1229719/2700, 49781/480, 1055297/2400, 
  34737/800, -945193/8100, -1041751/3600, 5163881/21600, 23669/648, -7565/96, 
  -108953/2400, -1/2, 1421/16, 15991/300, -80/3, -457/48, 732551/4800, 83/6, 
  -217/3, 13661/1200, 48, 9, -3199/48, -27, 503/16, 10049/96, -25237/800, 
  -322081/2700, -14513/48, -168131/1800, 581/4, -52701/1600, 1125973/5400, 
  189173/2880, 784697/43200, 23783/300, 753059/4050, 79651/3600, 
  -8439739/32400, -22405/324, 17/2, -1/2, -7, 17/2, -1/2, -7, -1/2, -3907/32, 
  37811/800, 119/4, 2359/8, -30157/400, -517/4, -20489/400, -2639/32, 
  -19461/800, 2791/96, -62989/2400, -1899577/10800, -504901/3600, 155441/864, 
  64915/1296, -19/12, 7441/600, 5/4, -14717/2400, 213/2, 14717/2400, -697/12, 
  -82727/800, 1/6, -96883/1200, 1/6, -22373/300, 14717/2400, 138821/800, 
  -14717/2400, 22373/240, -1169/4, -3583/80, -61603/600, 24233/48, 
  -5062253/14400, -747/4, 2945/12, 1300813/2160, 813167/1600, -166/3, 
  -49373/800, -310261/2700, 10013153/14400, 629591/21600, 3883/72, -827/48, 
  38509/1200, 66853/600, 467/24, 1472939/4800, -13, 939/50, -65123/270, 
  -5455667/14400, 321223/5400, 10471/2400, -1215857/3600, -7133881/14400, 
  10323973/64800, 78847/1296, -941/8, -339/16, -11, 1457/8, 519/16, -887/16, 
  329/4, 6605/48, -7, -100/3, 155/8, -1227277/21600, -196271/900, -1117/48, 
  50983/2592, 1/4, 128077/600, 301319/2700, -4931/24, -212203/900, 385/3, 
  1733/48, -10662667/21600, 210627/400, 549/8, 116609/1200, -4974083/32400, 
  -127315/288, 22162993/21600, -11079889/32400, -12381/32, -1673/32, 5, 
  5253/8, 491/8, -4073/16, 517483/1600, 29411/48, 633/16, -7597/60, 
  -3341/300, -942623/1440, -1599539/4800, 563/1728, 59587/288, 751/4, 
  -70573/1200, 6541/600, 11115/32, 320269/2400, -838/3, -936437/1200, 
  394087/2400, -181141/800, 460001/600, -864829/2400, -921049/5400, 
  5716067/7200, -769829/2400, 4533629/8100}}
