{{1, 1, 1, 1, 1, -1, 1, 1, 2, 1, -1, 2, 3/4, -3/4, 5/4, -1/2, -5/4, -3/4, 
  3/4, 3/4, 2, 2, 1, 1, 1, -1, -1, 2, 2, -1, 1, 1, -3, -1, -29/9, -35/16, 
  1309/288, 35/16, -127/96, 307/72, 71/16, -11/96, -25/24, 1, 1, 2, -1, -2, 
  37/72, 71/16, 67/24, -25/24, -2, 1, 2, -14/3, -1, -17/16, -15/8, 1/2, 
  61/64, 37/64, -1/2, -19/16, 39/16, -11/72, -47/16, 113/192, 47/24, 17/16, 
  -23/16, -21/8, 67/64, -151/192, -3/2, 1/8, 229/48, 41/64, -19/16, 53/16, 
  21/8, -53/16, 89/48, 15/8, -1, -11/6, -37/64, 1, 245/192, -17/48, 283/72, 
  97/96, -15/8, -11/6, -89/48, 79/48, 21/8, 13/4, 63/64, -67/96, -25/24, 
  -173/48, 13/8, 139/48, -169/48, -21/8, 163/96, 169/48, 571/144, 123/32, 
  -953/288, -163/64, 41/64, -65/24, -107/24, 165/32, 805/192, -295/192, 
  65/24, -107/32, -571/144, -107/96, 21/8, 1601/288, 893/192, -131/192, 
  23/72, -401/96, -137/96, 175/48, -131/48, -21/8, 7/48, 131/48, -1, -1/2, 
  -1/2, 3/2, 51/64, 1/2, -1/2, -19/64, 2, 3, -2, -13/64, -1, 1, 15/8, -3/2, 
  -1621/576, 75/32, 149/96, -19/12, 31/12, 153/64, -7/24, 107/24, 1/12, 
  -421/96, -107/24, 1/2, -1/2, -1/2, 1/2, 1, 3, -2, -1, 1, -1/2, -1/2, 3/2, 
  1, -7/6, 31/12, 9/4, -7/24, 1, -23/12, -17/12, -25/24, 23/12, 1/2, -1/2, 
  -1, 13/64, 1/2, 19/64, 1, 1/2, -109/64, -1/2, -3/32, 1, -13/64, -1/2, 
  -49/24, -11/8, 3/2, 253/72, -3/64, -1, -371/192, 53/24, 215/48, -293/576, 
  -43/32, 11/192, -41/24, 95/192, 61/24, -13/6, -11/8, -1829/576, 595/192, 
  51/32, -1/3, 215/48, 29/192, -53/24, 85/24, 11/8, -289/96, -85/24, 181/18, 
  -709/72, -463/72, -1/8, 91/36, -19/3, -58/3, 193/12, -109/72, -55/8, 
  -137/6, -317/144, 1139/384, -223/288, -131/144, 335/96, 1223/96, -509/48, 
  -2143/96, -289/72, 137/72, -949/72, -181/36, -67/12, 9/8, 521/72, 1133/72, 
  65/16, -13/18, 157/48, -113/24, 23/4, -59/24, -341/144, -419/48, 37/12, 1, 
  67/24, -17/8, 127/144, -107/192, -5/32, -67/24, 359/72, -101/192, -103/36, 
  -199/144, 913/288, 163/48, 59/72, 59/48, -463/96, -1175/288, -7/6, 
  -2483/288, 745/96, 757/96, 619/144, -2201/288, 221/36, -121/36, 23/96, 
  -15/16, 37/48, 743/72, -37/48, 29/4, 29/4, -29/4, 29/8, 29/8, -39/8, -5/4, 
  5/4, 11/72, -319/72, -43/12, -125/18, -125/18, -1/12, 21/4, -181/36, 11/72, 
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  1127/72, -29/2, 515/72, -1247/72, 311/48, -1591/36, -1879/48, 787/24, 
  991/12, -3949/72, 3053/144, 1325/48, 547/6, -49/12, -311/72, -239/48, 9/16, 
  1367/288, 1535/96, 577/96, -371/72, -1229/96, -809/96, 107/8, -235/48, 
  -137/96, -197/24, 293/16, 1, -29/3, -1435/72, -1, 151/9, 563/24, -13/6, 
  115/4, 509/24, -64/3, -229/12, 227/12, -143/24, -383/24, -67/6, 65/8, 1, 
  -11/36, -1, -1, 23/6, 23/3, 509/24, -3/2, -229/12, 47/36, 91/6, 11/2, 
  -137/4, -97/6, 67/12, -17/4, -17/2, -623/144, 1133/192, 1097/96, 3/64, 
  -67/12, 341/36, 55/4, -3053/576, -47/9, -2/3, 61/32, 587/144, 469/96, 
  43/48, -65/48, -51/16, -3439/288, -7/3, -11/9, 17/4, -677/96, -511/48, 
  -841/288, 595/72, 4837/288, 171/16, -1003/96, 83/8, -2947/288, -1739/96, 
  13/48, 407/48, 191/24, -31/2, -407/48, -17/3, 231/32, 23/48, 89/6, -275/32, 
  -55/6, -17/6, -1/4, 215/64, 23/96, 89/12, 41/64, -55/12, 63/32, -11/3, 
  545/96, -1/2, -95/32, -139/64, 14/3, 743/192, 95/32, -743/192, -317/192, 
  -1/3, -373/288, 3/64, -971/96, -139/64, 743/192, 95/32, -743/192, 965/192, 
  -1/3, -373/288, 3/64, -779/96, -1109/144, 619/288, 443/48, 361/144, 
  -149/48, 43/48, 505/72, -311/32, 31/48, 11/16, 13/24, -589/36, -21/16, 
  -13/24, 41/6, -697/192, -1601/288, -1141/288, 55/192, 137/96, -167/24, 
  2371/576, 95/96, 1/8, -1/96, -49/144, 9/32, 1/96, -355/72, -67/16, -3/2, 
  -43/72, 137/72, 3/2, 28/9, 5/6, -331/72, -265/144, 13/72, 10/3, 47/36, 
  -343/48, -7, -197/18, -899/72, 67/18, 139/36, 141/16, 19/3, -31/6, 185/24, 
  7, -37/12, -185/24, 1, 1153/144, 21/2, -1/2, -1583/192, -551/64, -1/2, 
  91/96, -3, -259/16, 421/72, 1195/96, -161/64, 2, -13/2, -989/144, 25/4, 
  127/16, 7631/576, -113/576, -275/96, 187/72, -2647/96, -925/192, 461/48, 
  -243/16, -1867/288, 1003/96, 893/48, -23/12, 1/2, -7/3, -17/6, -1/2, 31/6, 
  -1/4, 199/64, 1189/192, 1/2, -215/32, 47/96, -599/192, -23/48, -23/96, 
  -1/2, -1/9, 1859/192, 3/4, -13/2, 2041/576, -3259/384, 167/192, -115/384, 
  22/9, -145/16, 41/24, 965/384, 425/192, -75/64, 551/192, 51/64, 3359/576, 
  -145/192, -1349/192, -173/96, 953/576, -1429/192, 1157/192, -1645/576, 
  17/12, 3523/576, -1621/192, -155/16, -17/9, -307/576, 1601/288, -1465/576, 
  -245/48, 205/96, 41/6, 329/64, -5573/576, -569/96, 301/192, 3/16, -167/24, 
  2299/576, 259/96, 1/8, 835/144, -1903/576, -3449/288, -511/288, 631/192, 
  -247/96, -1415/288, 563/64, 181/96, -85/96, 169/96, 31/72, 77/32, -169/96, 
  151/36, -1927/576, -3/4, -5047/576, -161/24, -7831/1152, 1499/288, 
  2591/384, -563/72, -85/48, -5465/576, 12659/1152, 2947/576, -755/144, 
  -707/288, 1297/144, 191/48, -157/32, 259/48, -911/96, -737/72, 43/288, 
  325/32, 19/16, -179/16, -187/144, 995/288, 169/96, 61/48, 223/576, 481/96, 
  287/72, 415/96, 671/144, -43/16, -625/48, -161/16, 401/32, 625/48, -665/72, 
  1111/192, 3/4, 1739/192, 1565/144, 1417/128, -63/32, -3047/192, 665/72, 
  -1151/144, 119/64, -17137/1152, 1271/576, -1079/288, -57/16, -365/144, 
  -65/8, 25/72, 29/6, 461/96, 607/144, -4, -173/16, 2029/96, 835/16, 
  1489/144, 3287/192, 2201/288, -1607/96, -1991/96, -181/32, -695/72, 
  -819/64, 557/96, -65/16, 213/32, 47/2, 157/32, -213/32, -1/2, 49/16, 17/3, 
  1/2, -457/96, -47/32, -215/32, 505/96, -23/48, 33/8, -491/32, -1967/288, 
  -117/32, 1483/96, 1/2, 127/24, -17/8, -5/2, -5/2, 191/48, 1021/192, -7/2, 
  -241/192, -25/3, 1967/288, 65/8, 1727/576, 251/144, 4909/288, -1447/96, 
  -1601/144, -5101/288, 79/24, 277/32, -455/32, 2371/288, 239/32, 1/4, 
  3101/144, 95/72, -1093/96, -815/96, 25/16, 3/8, 101/48, 69/32, -19/16, 
  -49/16, -3/8, -253/96, 3/2, 1, 3/2, 23/32, -9/32, -1, -1, 65/24, -7/48, 
  -137/48, -65/24, 1, 57/32, -1, -1, -7/48, -25/32, -29/24, -41/48, -3/2, 
  -3/2, -3/2, -3/2, 3/2, -3/2, -3/2, -3, -3/2, 3/2, -3, 41/48, 3/8, 41/48, 
  19/48, 1/48, -41/48, -41/48, -41/48, -3/8, -1/48, 41/48, -41/48, -3/4, 
  -71/24, -245/96, -1/48, 49/24, 47/12, 41/48, 3/4, 85/32, -41/48, 3/8, 3/8, 
  7/8, 7/8, 1/48, -17/48, -7/8, -1/48, -3/8, -3/8, 3/8, -1/4, -3/4, -143/48, 
  -101/32, -1/16, 37/24, 197/48, 1/16, 1/4, 3/4, 265/96, -1/4, 41/48, 3/4, 
  83/48, 79/48, 1/48, -41/48, -29/24, -59/48, 41/48, -41/48, -3/4, -19/48, 
  41/48, -3/2, -1, -3/2, -23/32, 9/32, -2, -2, -65/24, -65/48, 65/48, 65/24, 
  -3/2, -1, -9/32, -2, -2, 3/2, -65/48, -23/32, 137/24, 113/48, 49/18, 11/16, 
  -1, -379/72, -93/32, 127/96, -271/72, -55/16, 5/6, 25/24, 31/48, -17/48, 
  -1, -31/48, -3/2, -1, -9/32, -73/72, -55/16, -145/96, 25/24, 3/2, -17/48, 
  -23/32, 241/48, 65/48, 17/24, 3/2, 1/2, 199/192, -11/32, -1/2, -113/192, 
  -7/12, 83/144, 131/96, -49/192, -47/48, -17/24, -53/24, 3/4, 149/192, 
  49/12, 35/24, -13/48, -37/24, -303/64, 47/48, 17/24, -3/4, -163/32, -17/24, 
  -3/2, -1, 11/32, -5/32, -2, -209/48, 25/16, 217/96, 41/48, 3/2, -65/48, 
  -3/4, -415/96, -25/48, 23/32, 113/48, 37/24, -53/96, -185/48, 113/48, 3/4, 
  9/32, -113/48, -41/24, -9/8, 133/96, -1/32, -5/6, 41/24, 39/16, -217/96, 
  -5/4, 5/6, -41/24, 41/32, 41/24, -5/24, -3/4, -133/96, -73/96, -1/24, 1/48, 
  25/12, 77/96, -83/48, 4/3, 3/4, 19/24, -4/3, 3/2, 2, 3/2, -5/2, -165/64, 
  -3/2, 1, 37/64, -3, -9/2, 3/2, 4, 27/64, 3/2, -3/2, -15/8, 3/2, 1, 
  2341/576, -23/32, -199/96, 5/4, -47/12, -943/192, 5/8, -149/48, 13/48, 
  109/48, 149/48, 3/2, -3/2, -3/2, -9/2, 1, 4, 3/2, -3/2, -3/2, 1, -1/2, 
  73/32, 8/3, -47/12, -145/32, 5/8, 61/48, -35/96, 49/48, -109/48, 1, -91/64, 
  27/64, -1, 155/64, -27/32, -1, 27/64, -7/24, 11/8, 35/24, -7/32, -113/192, 
  -17/24, -119/48, -367/192, 335/192, 281/192, 17/24, -217/192, -17/24, -2/3, 
  3/8, -175/192, 37/96, 25/24, -71/48, -139/64, 17/24, -17/24, -3/8, -25/24, 
  17/24, 41/48, 3/4, 71/24, 245/96, 1/48, -49/24, -47/12, -91/16, -67/12, 
  -85/32, 91/16, -1267/72, -223/48, -235/16, 139/18, -1181/288, 119/48, 
  -299/72, 965/96, 339/16, 255/8, -665/24, 6445/288, 2425/96, 1793/48, 
  -283/48, -1/16, 17/16, 3/2, -35/144, -535/96, -247/96, 83/192, 1/16, 
  -2815/1152, -221/48, 2717/576, 1591/1152, 5/18, 45/64, -49/64, -461/192, 
  3/32, 31/48, -365/192, 3479/576, 13/12, -6727/576, 607/192, 1207/64, 17/16, 
  -269/144, 61/36, 277/288, 271/192, 149/48, -7/16, 115/48, 113/96, -5/8, 
  -215/48, 407/48, 121/48, 215/48, -41/48, -3/4, -71/24, -245/96, -1/48, 
  49/24, 47/12, 91/16, 67/12, 85/32, -91/16, 181/18, 111/8, 13, -91/18, 
  -1673/144, -803/96, 13/9, -117/8, -29/12, -23/2, 77/12, -149/9, 73/96, 
  -55/8, 211/48, -131/48, 17/16, 4/3, 41/48, 127/48, -7/32, -41/48, 131/48, 
  -2353/1152, 1/48, -109/48, 1129/1152, 41/48, -39/64, -1229/576, -209/192, 
  -7/288, -41/48, 509/192, 1241/576, 1/12, 2273/576, -509/192, -251/64, 
  -41/48, 137/36, -275/72, -275/144, -159/64, -109/96, 41/48, 23/48, 35/48, 
  41/48, -881/144, 35/32, -41/48, -87/8, -87/8, 87/8, -29/12, -19/6, -3/4, 
  -7/4, -7/4, 77/24, 37/24, 7/4, -19/24, 67/12, 67/12, -67/12, -11/48, 
  319/48, 43/8, 125/12, 125/12, 1/8, -63/8, 181/24, -11/48, 3/2, -13/6, 
  125/12, 217/24, -181/24, 521/48, 269/12, -91/8, -43/2, 463/18, -113/6, 
  577/16, -833/144, 2705/72, -1153/96, 4799/72, 2393/48, -925/16, -507/4, 
  4121/48, -7421/144, -1719/32, -6713/48, 577/48, 445/36, 133/16, 113/8, 
  -805/144, -485/96, -695/96, 1051/144, 115/48, -163/32, -423/16, 695/48, 
  -327/16, -53/12, -111/4, 259/48, 29/2, 1363/48, 1/2, -80/3, -1149/32, 
  113/32, -345/8, -493/16, 33, 229/8, -373/12, 109/12, 643/24, 467/24, 
  -195/16, -3/2, 11/24, 1/2, -241/32, -23/2, -493/16, 13/4, 229/8, -47/24, 
  -1085/48, -239/32, 631/12, 1205/48, -33/8, 17/8, 67/12, 33/8, -7/12, 
  -1267/192, -37/24, 33/8, -4937/1152, -329/48, 257/1152, 2489/1152, 161/288, 
  -25/16, -781/288, -11/6, 7/16, 11/6, 3649/576, 2/3, -1/288, -67/48, 227/64, 
  1049/144, 277/144, -703/144, -2239/192, -1595/192, 917/192, -1001/144, 
  751/144, 2059/192, -1/3, -107/24, -79/16, 941/96, 107/24, 17/6, -231/64, 
  -23/96, -89/12, 953/192, 55/12, 1/2, 69/64, -1/2, -69/64, -1/2, -1/2, 
  37/64, 2051/576, -45/32, -83/32, 11/24, 767/576, -1/2, -1/2, -47/24, 
  -63/64, 11/6, -545/192, 63/32, 89/64, -11/3, -593/192, -63/32, 593/192, 
  371/192, -2/3, 1/72, 11/64, 889/96, 89/64, -593/192, -63/32, 593/192, 
  -719/192, -2/3, 1/72, 11/64, 697/96, 17/9, -551/288, -407/96, 109/96, 
  233/64, -127/72, 491/96, -107/96, -1/8, -103/96, 685/72, 103/96, 71/72, 
  331/96, -9/8, -449/288, -61/48, 43/24, -17/72, 485/96, 487/96, -3/4, 
  -41/48, 391/144, 71/24, 41/48, 935/192, -9/8, -601/192, 13/18, 485/96, 
  679/192, -3/4, -37/64, 535/144, 11/4, -31/64, 23/6, 355/72, 51/16, 1, 
  -41/12, 199/144, -1, 461/288, 1/6, 49/9, -245/72, -1265/288, -11/8, 
  -181/72, 123/16, 27/4, 203/12, 655/72, -3557/288, -79/36, -389/48, -415/48, 
  113/24, -319/24, -139/12, 445/48, 319/24, -3/2, -109/8, -331/16, 7165/576, 
  587/32, 3/2, 425/192, 9/2, 171/8, -1789/144, -839/48, 631/192, -3, 63/16, 
  305/36, 141/16, -143/8, -16681/576, -5671/288, 965/96, -1019/144, 451/12, 
  1307/64, -183/16, 63/16, 3145/144, 157/96, -443/24, -215/48, -37/64, 
  -433/192, 37/64, 157/64, 157/192, 239/96, 785/192, -367/192, -253/64, 
  -287/192, 683/192, -367/192, -77/384, -37/16, 481/128, 77/384, 89/64, 
  -391/96, 11/6, 13/32, -11/6, -203/64, 7/192, 325/192, -173/192, 5/96, 
  995/192, -287/192, 967/96, 1/2, -2197/192, 213/64, 729/64, -1391/576, 
  2065/576, 1183/576, 1009/192, -89/32, 41/24, 793/192, 1811/576, -865/96, 
  -39/64, -41/24, 299/192, -71/192, 2495/576, 397/144, 2459/576, -5035/576, 
  17/48, -115/96, 335/192, 149/192, 301/192, -31/48, 1051/144, -21/16, 31/48, 
  43/36, 733/288, 1/2, 247/72, 95/72, 1141/576, -41/36, -217/192, 11/9, 
  1301/576, 221/18, -1109/288, -5551/576, 553/144, -125/72, -33/4, -17/12, 
  157/32, -35/12, 761/96, 445/32, -445/144, -5629/288, -7/6, 1789/96, -1/12, 
  -161/72, -299/144, 163/288, -331/288, -43/24, -41/24, -28/9, -1163/288, 
  43/24, 25/16, 73/48, -83/24, -25/16, -1/2, 2711/576, -89/32, -1453/192, 
  -1199/144, -811/64, 341/64, 1667/96, -5383/576, -2455/1152, 605/96, 
  12149/576, 1915/384, 2591/288, 953/64, -3799/576, -301/192, 119/48, 
  -415/24, 1201/192, -14261/576, 47/3, 14809/576, -1315/64, -3901/64, 
  -4279/144, -18347/576, -635/72, 10049/288, 521/16, -14/3, 3995/144, 445/48, 
  -1695/64, 35/4, 515/192, -215/36, -135/8, 985/192, -23/6, 1/4, -49/32, 
  -17/6, -1/4, 457/192, 47/64, 215/64, -505/192, 23/96, -3/2, 423/64, 
  1631/576, 1357/384, -2501/384, -1/4, -21/16, 17/16, 5/4, -1/12, -569/144, 
  -965/192, 253/96, 103/48, 7/2, -4453/1152, -19/4, 517/288, 313/288, 
  -5039/576, 391/48, 1601/288, 5489/576, -433/192, -917/192, 1411/192, 
  -2371/576, -763/192, -1/8, -1927/144, -23/144, 1643/192, 225/64, -263/96}}
