{{1, 0, 0, 1/2, -1, 1/2, 1, 8/3, -25/6, 1/2, 11/6, -4/3, 1/2, -1/8, -15/8, 
  1/8, -1/2, 25/12, -5/6, 1/3, 53/24, -1/3, -2/3, 43/24, 15/8, -43/24, 
  -27/16, -1/2, 5/8, -19/6, 1/3, 133/24, 9/8, -101/48, 1/4, 3/4, 5/2, -3/4, 
  -65/24, 1/4, -1/4, 1/8, 1/8, 9/8, -5/4, 1/24, 4/3, 5/8, 3/4, -2/3, 1, 
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  -29/24, -73/48, -7/8, 7/8, -79/48, 1/4, 41/12, 1/12, -15/16, 1/4, 5/12, 
  -2/3, 1/4, 2/3, 3/8, -17/8, 7/4, -3/8, 15/8, -3/2, -5/8, 1, 21/8, -79/24, 
  -2, -1, 73/24, -7/4, 1/2, 97/24, -1/2, -1, 5/8, -2, -5/8, 2, -5/8, 23/24, 
  2, -23/24, -23/24, 1/4, -17/12, 7/6, -1/4, 17/12, -7/6, -5/12, 5/12, 7/4, 
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  1/2, -1/2, 4/3, -7/6, 3/4, -29/12, -1, -1, 1, 3/2, -1/2, 1/4, 8/3, 17/12, 
  -1/4, 29/12, 2/3, -17/12, 1/2, 17/12, -29/12, 29/12, 29/12, 41/24, 25/4, 
  -35/24, 263/36, 3/2, -263/36, -25/36, -29/12, -2, -19/6, 1, 67/36, -1/2, 
  4/3, 4/3, -1/6, -5/6, 5/6, 3/2, 31/24, 5/18, 43/24, 11/6, -8/3, -5/4, -1/2, 
  5/4, -1745/72, -1/4, 1/4, 5/24, 1/2, 1/2, -1/2, -23/12, 1/2, 17/12, -29/12, 
  29/12, 1/2, 79/12, -5/6, 19/12, -5/6, 2/3, -1/4, -1/6, 11/12, -52, 547/12, 
  -160/3, 1/4, -7/6, -3/2, -1, 1, -1, -7/18, 11/6, -7/12, 1/2, -7/2, 1, 
  41/24, 41/24, -133/24, -5/3, 17/12, -17/12, -17/12, -17/24, 7/24, 7/3, -1, 
  -25/8, 2, -1/6, 89/9, -97/9, -25/4, 35/24, -1/12, -539/72, 13/12, 109/9, 
  1331/72, 263/72, -89/9, 1565/72, -1/2, -11/6, -275/72, 1/12, 503/72, 
  -13/12, -109/9, -1331/72, 1/6, 5/6, -5/6, -3/2, -1/6, -401/36, 401/36, 
  395/36, 11/4, -17/12, 7/9, -1/2, -419/36, -3/8, 131/12, 55/24, 19/6, 
  -131/12, 1/2, -2, 1/2, 1/2, -5/6, -1/2, 1/2, -17/12, -3/4, -19/12, 29/12, 
  25/12, -35/24, -17/12, 1/6, 5/4, 53/48, 59/24, 7/12, -12883/288, 5/6, 
  13435/288, -41/72, 11/72, 49/18, -13/24, -113/48, -31/72, -5/8, 1/36, 
  77/144, 5/36, -1/9, -1/4, 31/36, 1/9, -1, -35/24, -31/8, 1/24, 29/8, 35/16, 
  71/24, -59/24, -7/288, -407/36, -209/72, 1235/72, 4765/144, -5/8, -29/24, 
  23/16, 9/8, 1/4, 7/8, -9/8, 71/48, -1/24, 865/72, -7/24, 25/16, 9/8, -1/16, 
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  -991/48, 117/8, 20827/288, 70/3, -19495/288, 1/4, -7/6, 11/12, -25, 587/24, 
  -203/8, -5/4, 809/24, 31/12, -203/8, -25/12, 1/4, 49/2, -1561/48, 929/24, 
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  13621/288, -23/6, 5/18, 13/3, -1/2, -32/9, 211/36, -17/6, 19/12, -7/18, 
  -289/72, 13/36, 205/72, -145/72, -55/12, 521/72, 1/36, 11/18, 445/72, -1/3, 
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  -23/48, 5/72, 17/48, 1/2, 19/72, 5/72, 5/36, 77/72, 23/16, 7/4, 1/2, 
  -199/48, -31/16, 205/48, -1/2, -41/72, 167/72, 41/36, 2, -13/36, -101/24, 
  13/8, -5/36, -29/24, 5/36, -1/3, 29/24, 31/36, 1/3, -1, 10/3, 109/72, 
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  -167/24, 4729/72, -443/36, -197/2, -9605/72, -3/4, -7/24, 5/4, -97/24, 
  -419/72, 1421/72, 1/4, -19/12, -3/2, 503/72, 1/3, 11/4, 85/12, -83/18, 
  -1093/72, 1015/72, 1039/24, 1985/72, -3/4, 7/2, 3/4, -11/4, 1/2, -39/4, 
  -16/3, 707/72, 311/18, 1/12, 5/12, -7/8, 83/18, -5/12, -83/18, -2/3, 5/12, 
  -395/72, -5/12, -3/4, -1/2, 1/2, -1/9, 46/9, 7/18, -1/8, -9/8, 37/24, -8/3, 
  -7/6, 9/8, -35/8, 41/24, -19/12, 221/72, 19/12, 35/12, -5/8, 2, 5/8, -2, 
  5/12, 187/18, -17/24, -187/18, -359/36, -59/24, 9/4, 13/12, 5/2, 3/4, 
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  11/48, -5/4, 11/24, -25/24, -7/12, -17/8, 9/8, 55/16, 29/12, 1/8, -55/16, 
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  7/6, -13/24, 145/6, 2/3, -545/24, -1/8, -33, 781/24, 6361/288, 203/8, 
  -6349/288, -809/24, 6385/288, 16/9, -8/3, 17/12, -73/36, 25/12, -289/72, 
  1/4, 9/4, -7/6, -9/2, 137/36, 151/36, 7/36, 4/9, 5, -1/6, -5/6, 3/8, 
  -43/48, -5/72, 31/48, -3/8, 43/48, -31/72, -31/48, 1/2, 13/24, 5/8, -31/16, 
  -8/3, 61/48, -5/8, -41/72, 233/72, 41/72, 3/8, -4/9, 53/72, 73/72, 19/36, 
  53/24, -29/12, 1/2, -59/24, 13/6, 7/24, -749/72, -9/2, 391/18, 47/12, 
  163/9, -205/18, 517/36, -1063/72, -109/6, 38, 1015/36, -1/4, 17/12, -7/6, 
  1/4, -17/12, 7/6, 1/3, -5/6, -5/8, -41/12, 7/24, 5/6, 41/12, 17/12, -7/12, 
  91/24, 7/12, 13/12, 0, 11/48, -3/32, 1/16, -25/96, 3/4, -9/8, 79/48, -9/8, 
  -49/48, -5/4, -41/24, -1/8, 49/48, 5/4, -1, 5/12, -35/48, -5/24, 25/24, 
  17/8, -9/8, -7/16, -5/4, 11/24, -25/24, -7/12, -163/2, 12379/72, 4357/18, 
  1807/18, 2933/96, 2383/36, 9953/288, -925/24, -27505/288, -35/6, -139/3, 
  -6251/144, -949/36, 4241/48, -5/18, -3437/72, -1, 523/72, -523/72, -2, 
  6407/288, 2689/72, 5/24, -301/8, 3215/288, -5/6, 583/8, 227/18, -721/36, 
  10327/72, -211/18, -2066/9, -329/48, -1597/12, -681/16, 158/9, 27085/144, 
  -1/6, 254/3, -491/3, -599/4, 247/24, 493/48, 3035/96, 203/12, -4085/96, 
  -1/6, -127/3, -133/24, -491/3, -519/8, -5/6, -203/8, 49/24, -365/12, 
  -133/8, -313/2, -1909/36, -59041/72, -9167/6, -15413/18, 2513/36, 2015/18, 
  -9427/72, 1127/9, 1201/36, 2065/24, 18275/36, 4427/12, 9/4, -37/8, 
  13939/72, 2201/9, 13385/72, 225/16, -5/12, 439/144, -58/3, -11/12, -755/12, 
  107/36, -967/18, 1261/48, 3199/12, 13153/144, -995/18, -27379/72, 5/6, 
  973/18, -3/2, -1231/72, -23705/288, -79/12, 79/12, -3/4, -215/4, -17/6, 
  649/12, -329/6, 0, -4579/72, 0, 32/3, -173/24, 13/12, 29/6, -83/12, 469/72, 
  2381/18, 475/12, -8239/36, 280/3, 197/12, 3197/72, -5083/72, 427/8, -521/9, 
  -367/9, 67, -215/18, -5/72, -25/3, -953/24, -15/4, -961/36, 4373/72, 0, 
  4579/72, 0, -239/9, 239/9, -1/6, -5/6, -4519/72, 3/2, 49/9, 391/36, 
  -119/18, -5215/72, -445/36, -31/12, 59/36, 739/24, -31/8, -227/24, -15/4, 
  137/24, -73/8, 37/12, 115/12, 13/6, -41/3, -523/72, 523/72, 523/72, 2, 1, 
  -2, -2, 523/144, -523/144, -523/144, 73/48, 371/72, -4/3, -643/144, 105/16, 
  583/72, 811/144, -1/24, 733/24, -733/24, -367/12, -1, 61/16, 41/12, -61/16, 
  45/16, 13/24, -221/144, -349/72, -89/24, 221/144, -17/24, 41/8, -49/8, 
  -41/8, 17/8, -1/6, 38/3, 85/3, 1021/72, -16993/108, -59443/8640, -5644/135, 
  -15709/180, 11153/270, 163/36, 193/9, -193/9, -193/12, 47/18, 17/12, 
  967/36, 1/9, -365/36, -38/3, -649/36, 461/36, 2/3, -349/72, -55/24, 
  -665/72, -29/12, 41/12, -35/12, -338881/8640, -1/2, -3/2, 61181/720, 3/2, 
  -2, 105139/4320, -22277/8640, 10883/270, 37523/360, -5374/135, 11/2, 
  803/72, 25/12, -1103/72, -49/12, -12383/90, 12383/90, 12383/90, 78563/1080, 
  -70033/1080, -79013/1440, 2639/32, -1/4, -2655/32, -2627/90, -69653/2160, 
  575/36, 1/2, -539/36, 23429/1080, -3, -1795/48, -493/48, 247/48, -793/288, 
  -13/48, -7, -875/144, 1127/96, 203/12, 227/48, -3409/288, 3185/72, 
  -1511/288, -2177/288, 35/12, -1273/72, 13543/72, -2909/18, 5, 472/3, -1/12, 
  33115/144, 7571/36, -1439/96, 1793/36, -61811/288, 11/8, 2273/18, -67/24, 
  -1525/24, -1/24, -743/12, 1319/24, -15341/96, 3251/24, 1049/16, -5119/72, 
  -49063/288, 9/4, -4/3, -31/24, 5/2, 244/9, 545/72, -13865/288, -1213/36, 
  12341/288, -289/72, -179/36, 335/144, -1289/48, -41/72, 2735/72, -299/72, 
  -2/9, 292/9, -1519/72, -403/72, 73/18, -299/6, 5/6, 2857/36, 59/6, -299/24, 
  -38, 26, -3919/72, -197/6, 449/18, 245/9, 23/4, 5/18, -581/72, -181/36, 
  593/72, -6259/144, 257/3, -65/36, -25/36, 29/8, -4549/72, 5/4, 19/12, 
  31/36, -34487/1296, 161/72, -4/3, -9/4, 109/24, 29/9, -59/6, -80/9, -5/2, 
  313/72, 443/18, -311/72, 257/72, -251/24, 475/72, -31/24, -5/8, 27/8, 
  -505/36, 5/8, 41/72, 505/36, -41/72, -1/2, -57/16, 1253/72, 431/144, 
  179/48, 19/72, 91/288, 53/36, -71/1296, -263/1296, 11/18, -3/8, 169/144, 
  19/18, 23/24, 281/144, 33/16, -7/8, -137/144, -13/72, -89/72, -107/36, 
  5/18, 317/72, 221/144, 1, 149/9, -10/3, -517/24, 7/6, -527/72, 343/12, 
  -195/8, 35/9, 679/72, 385/72, -15, -187/144, 61/72, 67/144, 101/24, 79/36, 
  -203/96, -37/144, 31/144, -185/18, 805/648, -2655/64, 851/48, 23339/864, 
  -6933/320, -27/8, -11381/120, -769/144, -25/24, 204877/2160, 3/4, 611/72, 
  5, 61811/864, -4997/8640, 46817/1080, 37013/360, -5374/135, 5/2, -37/16, 
  121/72, 77/16, -2479/40, -9/4, 77963/1440, -266059/4320, -1/4, 1277/20, 
  -1/4, 263899/4320, 5/2, 46627/720, 5/9, 1907/216, 437/72, -1/3, -209/72, 
  -19/36, -7/18, 27/8, 94/9, 619/144, -121/9, -661/24, -5513/144, -104/9, 
  1451/12, 10655/144, 517/216, -1267/432, -207/8, -241/4, 6869/48, -22349/96, 
  -18755/144, 3031/96, 12463/144, -7495/9, -8597/36, 4069/18, 74249/72, 
  -302753/1440, 15973/144, 75623/288, 10607/144, -324317/1440, 89/6, 
  -643/144, -124/3, 4757/144, 2311/144, 619/12, 463/72, 3647/144, -71/3, 
  -326/9, 155/12, -355/36, 385/9, 21515/72, 129/8, 187/24, -2545/36, 1277/16, 
  143993/576, 31231/288, -64325/1728, 71075/864, 196633/2160, -365/864, 
  -455/12, -22771/180, 455/24, 51859/720, 21421/180, 123427/144, -5834/9, 
  96707/576, -39/8, 43357/720, 1, -43357/720, -2749/40, -375925/432, 
  145835/216, -4877/96, -40709/192, -45/8, -3305/16, 10757/54, 321155/576, 
  27103/144, 1328743/8640, -305459/2880, -11923/48, 299081/1728, 343999/4320, 
  -3/2, 0, 0, -3/4, 31/12, 4/3, -53/12, -11/6, 11/6, 11/6, 11/6, 11/6, 19/3, 
  -8/3, -11/6, 43/12, 41/6, -2, 1/2, -1/4, 19/4, 8/3, -17/4, -1/4, 0, 5/6, 
  -4/3, 3/4, -1/4, 0, 0, -11/6, -11/12, 16/3, 5/2, 0, 5/3, 19/24, -1, -65/24, 
  -49/48, -55/24, 139/48, 79/24, -13/48, -1/8, -1/16, -19/24, -17/48, 1/8, 
  59/24, 5/24, -1/12, 31/48, 1/12, 1/6, 37/48, 11/24, -67/48, -149/48, 47/48, 
  1/8, -35/24, 91/24, -3/8, 281/48, 161/48, -7/4, -127/24, -1/4, -1/12, 
  -41/24, 3/4, 9/8, -1/4, 1/4, 0, 1/16, 11/24, -5/8, -11/24, 9/16, 23/24, 
  -15/8, -25/48, 91/48, 5, -7/16, -55/24, -7/16, 79/24, 139/48, -5/16, 11/24, 
  19/16, 1/8, -35/24, -1/3, 7/48, -113/48, -49/48, 25/8, 71/48, -3/16, 5/16, 
  11/24, -7/6, -35/16, 65/48, -31/48, -23/12, 121/48, 35/24, 1/48, 53/48, 
  5/16, -7/16, -25/24, -1/8, -5/24, 1/3, -1/8, -1/3, -1/8, 17/24, -7/12, 1/8, 
  -25/48, -11/24, -1/48, 35/24, 5/24, -1/3, -15/16, -1/8, 5/16, 1/3, 85/48, 
  7/12, -1/6, -3/16, 1/6, 1/3, -5/16, 11/24, 19/16, 5/16, -23/12, -19/16, 
  35/24, 7/48, -101/48, -49/48, 149/48, 71/48, -1/8, 17/24, -7/12, 1/8, 
  -17/24, 7/12, 5/24, -5/24, -7/8, 2/3, 2/3, 5/24, -2/3, 3/8, -1/12, -5/6, 
  1/12, 1/6, -31/12, -4/3, 53/12, 31/12, 4/3, -53/12, -3/4, -31/12, -7/12, 
  53/12, -29/24, -53/24, 1/4, 53/24, 97/6, 1, -1/4, -1, -79/12, -53/48, 
  53/48, 5/6, 8, -38/3, 23/4, 11/6, -4/3, -11/3, 85/12, -5/12, -79/12, 
  281/48, 11/16, -5/6, -51/4, 71/8, 0, 29/8, -5/6, -7/6, -3/2, 13/4, 1/4, 0, 
  209/64, 661/144, -661/144, -32/9, 8677/288, -4769/144, -7/9, 1213/288, 
  -29/18, -11/6, 23/6, 6, -2831/96, -32/9, 1721/576, -7507/288, -7/9, 
  -589/144, -32/9, 10045/288, -4385/144, -7/9, -443/288, 47/24, -4/3, -17/8, 
  -11/2, 7/8, -29/8, -1, 11/6, 11/6, 59/72, -41/9, -1/2, 41/9, 7/6, 607/72, 
  2, 7/6, -10/3, 235/32, -1439/288, 17/8, -3/4, -17/8, 29/8, -29/8, -29/8, 
  1/12, -69/8, -397/36, 7/18, 1175/18, 29/24, 437/36, -617/72, 245/36, 
  -413/24, -11/6, -11/2, 17/24, 21/4, -37/12, -41/4, -443/36, 1/12, 1085/72, 
  -373/18, -79/6, 1195/72, -29/24, -2005/72, 263/72, 299/72, 24, 29/8, 2/3, 
  25/12, -3/2, 65/24, 1/4, 0, -647/96, 1361/144, -1361/144, -4663/288, -4/3, 
  11/6, -11/6, 905/144, 1/12, 5/12, 3137/144, -5/12, -3/4, -3/4, -2065/144, 
  109/32, 89/72, 5767/288, 35/24, -11/24, 1/4, 11/24, 707/18, 1/4, -1/4, 
  -1/3, -3/2, -11/6, -1, 5/6, 2903/120, 787/432, -787/432, -787/432, 787/144, 
  4828/135, -787/144, 967/216, 1363/144, 2843/120, 4693/135, -21173/720, 
  17/24, -1/4, -17/24, 29/24, -29/24, -79/12, 79/24, -79/24, 5/3, 79/6, 
  -57/8, -13/24, 1/6, 43/6, -2/3, -7, 623/12, -407/8, -11/3, 453/8, 11/6, 
  1/2, -11/3, 21/4, 13/12, -139/24, -7/12, 57/8, -1009/144, 1009/144, 
  -1009/144, -32/9, 1801/288, -6185/288, -7/9, -625/72, -32/9, 8365/288, 
  -4/3, -7/9, -2767/96, 6635/288, -5731/288, 7/2, -953/144, 13/18, -11/6, 
  -1/3, 6, -2671/96, -32/9, 8293/288, -4/3, 161/36, -2911/96, -469/72, 
  -41/36, 41/36, -43/8, 7/6, 607/72, 2, -17/8, 17/8, 17/8, -301/72, -74/9, 
  931/72, 98/9, -635/36, 23/24, -41/9, -1/2, 41/9, 9/8, -7/6, -325/72, 23/24, 
  -31/24, 451/72, 26/9, -1247/72, -337/12, 73/2, 217/3, -1/6, -58/9, 127/4, 
  115/9, -655/8, 5/2, 147/8, -1/3, -118/9, -2821/72, 13/72, 509/72, 99/4, 
  -391/12, -1333/24, 8/3, 21/4, 17/12, -35/4, -529/72, -5/2, -145/8, 1/3, 
  118/9, 2821/72, -1/12, -5/12, -3137/144, 5/12, 3/4, 1/12, 1523/48, 
  -1523/48, -1519/48, -3305/144, 2981/144, 401/18, -7/18, 1/2, 11/6, -11/6, 
  1459/48, 1/12, -4553/144, -7/6, -367/72, 4553/144, 943/144, 355/432, 5/6, 
  -787/432, 1, -11/6, 5/6, -1, -679/144, 787/144, 787/432, -787/432, 
  -787/216, 11/12, 1219/432, -787/432, -787/432, 23/24, 841/144, 25/24, 
  38399/1080, -937/144, 8/3, -23/48, -11/24, -155/48, 155/48, 47/48, -91/24, 
  -3/8, -31/12, 1/2, 14191/288, -587/48, -16357/288, -55/3, 583/48, 41/72, 
  181/144, 11/24, -367/144, -185/48, 125/48, 1/18, -17/8, 43/8, -65/18, 
  3041/96, -505/18, 145/32, 41/32, 2/3, 1, 2, -7/6, 1/2, -2, 7/6, 1, -37/48, 
  517/288, 283/144, -653/288, -995/288, 8/3, 131/48, -61/24, -15/16, 65/48, 
  -83/48, -103/24, 73/24, -49/24, 1/2, 521/96, 4385/144, 547/144, -3137/72, 
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  1/4, 29/24, -1/3, 1/6, 55/4, -5/6, -251/24, 2/3, 2/3, 5/6, -12, -103/16, 
  79/12, -59/48, 51/4, 9/16, 11/6, 1/2, -11/6, -1/2, -11/3, 11/6, 607/12, 
  -317/6, -11/6, 160/3, 2/3, -1397/24, -37/48, 225/4, 25/48, 187/24, -13/6, 
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  61/24, 9/8, -11/12, -1, 27/16, -221/48, -83/48, -64/3, -12031/288, 251/48, 
  -245/24, 23/12, -2515/144, -497/144, 1841/288, 505/72, 2515/144, -643/72, 
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  227/288, 17/24, -457/72, 665/72, -119/48, 253/24, -35/48, 391/72, -1681/72, 
  97/12, 109/9, -749/96, -1843/9, 4229/72, 7577/36, 39839/144, 19/12, 39/8, 
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  99223/2160, -83/24, -483/10, -1219/432, -65581/1080, -1, 787/432, 1459/30, 
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  8713/270, 237389/4320, -787/108, 17/12, -5/24, -43/24, -29/12, -7/24, 
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  73/72, -25/24, 289/144, 245/48, -9/8, -77/8, 9/4, 479/144, -313/16, 
  -511/144, 1753/576, 301/144, 2527/144, -601/144, -1/8, -13/16, 43/72, 
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  -5/12, -4, -17/24, 7/24, -49/12, -7/24, -13/24, 0, -77/32, 3/64, 79/32, 
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  11/6, -1237/864, 787/432, 1237/432, 27631/1440, -787/432, -7/6, 10/3, 
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  -14537/288, 26299/720, -2135/288, -1133/48, 1133/48, 857/96, 425/288, 1, 
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  -293/108, -409/216, 1321/32, -25037/864, -2903/120, -60481/4320, 
  -208919/8640, -150133/8640, 5/8, 152293/8640, 35713/4320, -8689/2160, 
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  52007/1440, -79/24, -56747/1440, -11/12, -127, -17/144, 491/2, 1801/8, 
  215/12, -425/24, -145/2, -75/2, 1697/24, -4/3, -103/3, -359/144, 491/2, 
  3367/24, -13/12, 6347/144, 2/3, 527/12, 2725/144, 8143/36, 3241/72, 
  204223/144, 2298, 175529/144, -1657/36, -13/2, -1627/72, 44/3, 6275/72, 
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  827/72, 16087/288, -3349/12960, 10369/540, -10369/540, 10369/540, 
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  -3829/18, 5543/64, 57773/144, -287/2, -36887/144, -1393/24, 73/12, 4577/48, 
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  6731/288, 17/3, 2575/72, -14639/288, 16/9, 209/64, 45/16, -595/24, 
  -661/144, 2921/144, -2921/144, 1009/144, 67/36, -1681/288, 12971/288, 
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  1013/12960, -1735/144, -1901/216, -61/96, 1008517/38880, 463879/19440, 
  35507/6480, -104299/12960, -411041/38880, -1471/40, -11/6, 2, 5/6, -61/8, 
  21803/720, 4081/432, -2785/432, -787/432, 1205/288, 107999/2160, 
  29887/1080, 147221/4320, -52139/2160, -1171/288, 1/2, 1171/288, 49/8, 
  -12763/288, -1991/36, 5983/144, 107/9, 19007/288, 30713/1620, 
  -1432501/19440, 24118/135, 1172671/8640, 13367/432, 27847/270, 209921/2160, 
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  -2981/144, -335/18, -25321/288, 4621/96, 569/12, -389/6, -4, -4945/96, 
  13/6, 1591/48, 5/3, 257/72, -1669/48, -4867/810, 2107/120, 1/36, 
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  -327307/38880, 2057381/38880, 4073989/139968, -1741721/116640, -7741/3240, 
  97849/12960, 307361/38880, 496711/8640, 11/2, -355/432, -10/3, 2083/432, 
  -203999/2160, -1003/72, -787/432, 787/108, 3935/432, -4648/45, 
  -507841/8640, -11747/432, -324091/1440, -7559/2160, -97/12, -31913/864, 
  -55/24, -13861/4320, -229/10, -5/48, 23941/360, -23941/360, -47957/720, 
  -13399/2592, -473/864, 3103/648, 6601/864, -83071/12960, 1099/540, 
  -78563/2160, 65083/2160, 79313/2880, -7477/192, 1/8, 7525/192, 2627/180, 
  337553/4320, -472847/4320, -107449/1080, -24001/432, 667747/4320, 
  70013/2880, -397333/8640, -3/8, 390853/8640, -11669/2160, -29711/12960, 
  11587/3240, 301/648, 18707/12960, -24209/6480, -2239/288, -20647/4320, 
  4518611/233280, 258599/6480, -248291/10935, -624571/19440, 27761/6480, 
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  3989/72, 9/2, -868/3, 397/72, 2315/8, -18133/72, -701/72, 373, 5/2, 
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  -55697/6480, 111259/6480, -64501073/1399680, -13813/576, 173/16, 
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  9989/120, 1325/54, -2096/135, -127769/2160, -10079/120, 289/27, 161/72, 
  109/9, -319/144, 5465/288, 379/48, -55/72, 41/36, -5543/144, -437/72, 
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  1301/72, -7127/72, 15287/144, -23/8, -773/144, 703/144, 1081/72, -119/24, 
  177/16, 3541/144, 371/144, -1781/288, -781/72, 1025/144, 77/9, 32291/4320, 
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  24317071/699840, -2641499/116640, -109663/2160, -645661/8640, 5/8, 
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  -101/9, 941/72, 25/4, -83/24, 1/12, 713/72, -13/12, -523/36, -1631/72, 
  -311/72, 101/9, -937/36, 1/2, 11/6, 323/72, -1/12, -677/72, 13/12, 523/36, 
  1631/72, -1/6, -1/3, 1/3, 1/2, 1/6, 467/36, -467/36, -461/36, -11/4, 17/12, 
  5/9, 1/2, 485/36, 3/8, -143/12, -55/24, -19/6, 149/12, 0, 9/2, 0, 0, 1/3, 
  0, 0, 29/12, -1/4, 13/12, -35/12, -13/12, 53/24, 5/3, -37/24, -1, -2/3, 
  -53/24, -5/6, 19099/288, -5/6, -19723/288, 83/72, -23/72, -355/72, 13/24, 
  4, -83/72, 83/24, -17/18, 7/36, -35/36, -35/36, 0, 35/36, 35/36, 0, 53/24, 
  31/8, -11/12, -29/8, -5/2, -65/24, 59/24, 2119/288, 419/36, -32/9, 
  -1355/72, -3335/72, 7/8, 29/24, -15/8, -7/8, 0, -7/8, 7/8, 5/24, 2/3, 
  -2057/144, -1/3, -3/8, -9/4, -9/4, 0, 9/4, 9/4, 0, -5/4, -139/6, 59/24, 
  799/24, -47/24, 29/3, 25, 677/24, -153/8, -29599/288, -409/12, 27547/288, 
  -1/4, 7/6, -11/12, 73/2, -863/24, 295/8, 5/4, -1169/24, -31/12, 303/8, 
  25/12, -1/4, -133/4, 1097/24, -1325/24, 8011/288, 125/3, -12943/144, 5/4, 
  -13/6, -1/4, 17/12, 7/6, 1/2, -3/8, -25/12, -19783/288, 37/12, 5/9, -31/12, 
  -1/2, 56/9, -221/18, 13/2, -5/2, -7/9, 499/72, 2/9, -493/72, 151/72, 
  109/24, -365/72, 11/36, 2/9, -307/72, 5/6, 1/6, 37/72, 17/12, -28/9, 6, 
  -109/72, -119/72, -15/8, 53/24, 119/72, -7/4, 23/8, 29/18, 35/36, -29/18, 
  -35/36, -3, 53/36, 91/72, -22/9, -49/18, 41/48, -35/72, -41/48, 0, 11/72, 
  -35/72, -25/72, -35/72, -23/16, -7/4, -1/2, 181/48, 33/16, -181/48, 1/2, 
  35/72, -161/72, -35/36, -11/4, 29/72, 125/24, -13/8, -101/72, 47/24, 
  -35/36, -11/12, -47/24, 35/36, 11/12, 0, -49/12, -79/72, 91/24, 149/72, 
  4/9, -1/6, -409/72, -13/8, 217/36, 11/24, 38/3, 113/12, 89/24, -5221/72, 
  581/36, 893/8, 10445/72, 3/4, 7/24, -5/4, 103/24, 467/72, -865/36, -1/4, 
  1/12, 3/2, -425/72, -1/3, -11/4, -28/3, 271/36, 1225/72, -1291/72, -593/12, 
  -1961/72, 3/4, -7/2, -3/4, 11/4, -1/2, 9, 16/3, -701/72, -148/9, -1/12, 
  -1/6, 7/8, -199/36, 1/6, 199/36, 1/6, -1/6, 461/72, 1/6, 1/4, 1/2, -1/2, 
  7/9, -217/36, 5/18, 1/8, 3/4, -37/24, 79/24, 7/6, -3/4, 17/4, -23/24, 5/6, 
  -269/72, -5/6, -17/12, 5/8, -2, -5/8, 2, -5/12, -835/72, 17/24, 835/72, 
  104/9, 61/12, -9/2, -61/12, 0, 3/8, 5/24, 0, -3/8, 0, 0, 137/48, -31/16, 
  -83/48, 17/16, -13/24, -137/48, 9/4, 91/48, 0, -13/48, 13/24, 13/48, 5/4, 
  -9/4, -23/4, -19/6, 9/4, 23/4, 0, 101/48, 5/12, 13/12, -43/12, -13/12, 3/4, 
  -13/6, 17/12, -1/4, 17/12, -7/6, 13/24, -107/3, -2/3, 821/24, 1/8, 95/2, 
  -1129/24, -9283/288, -295/8, 9271/288, 1157/24, -9307/288, -28/9, 67/12, 
  -35/12, 121/36, -17/4, 499/72, 3/4, -155/24, 7/6, 19/4, -233/36, -35/18, 
  -13/36, 7/18, -17/4, 2/3, -1/6, -3/8, 25/48, 35/72, -7/48, 3/8, -25/48, 
  -35/72, 7/48, 0, -13/24, -5/8, 37/16, 23/12, -85/48, 5/8, 35/72, -173/72, 
  -35/72, -7/8, 35/72, 7/72, -35/36, -77/72, -53/24, 29/12, -1/2, 59/24, 
  -13/6, -7/24, 725/72, 9/2, -803/36, -47/12, -703/36, 413/36, -124/9, 
  1195/72, 53/3, -353/8, -1075/36, 1/4, -17/12, 7/6, -1/4, 17/12, -7/6, -1/3, 
  7/12, 5/8, 47/12, -7/24, -7/12, -47/12, -11/12, 1/3, -109/24, -1/3, -7/12, 
  1/8, -11/48, -1/8, 1/16, 11/48, -9/4, 9/4, -7/12, 9/4, 17/6, 0, 17/6, -9/4, 
  -17/6, 0, 5/2, -83/48, -47/24, 19/48, -13/24, -5/2, 9/4, 41/16, 0, -13/48, 
  13/24, 13/48, 112, -17065/72, -2933/9, -2821/18, -3737/96, -1667/18, 
  -15149/288, 1243/24, 38563/288, 77/6, 305/6, 3863/144, 769/36, -987/16, 
  -5/9, 4517/72, 2, -1627/72, 1627/72, 0, -5987/288, -2875/72, 31/24, 315/8, 
  -7187/288, 5/6, -199/2, -541/36, 1123/36, -3643/18, 149/9, 23239/72, 26/3, 
  1109/6, 63, -475/18, -38503/144, 1/6, -422/3, 749/3, 459/2, -769/24, 
  -295/48, -4463/96, -757/24, 4709/96, 1/6, 211/3, 991/24, 749/3, 83, 5/6, 
  149/8, -55/24, 361/6, 319/8, 931/4, 2707/36, 42407/36, 6295/3, 83669/72, 
  -872/9, -2747/18, 6719/36, -6473/36, -1441/36, -1571/12, -25343/36, 
  -12121/24, -9/4, 23/8, -20173/72, -11831/36, -18149/72, -81/4, 1/6, -37/36, 
  325/12, 17/12, 272/3, -245/36, 1333/18, -433/12, -2219/6, -4651/36, 
  2887/36, 38761/72, -5/6, -2867/36, 3/2, 1921/72, 35003/288, 109/12, 
  -109/12, 1/4, 297/4, 19/3, -889/12, 223/3, -1/2, 2069/36, 1/2, -56/3, 
  143/24, -7/12, -16/3, 83/12, -79/72, -3113/18, -727/12, 10069/36, -182/3, 
  -163/12, -3281/72, 5389/72, -325/6, 1273/18, 917/18, -321/4, -37/18, 
  -631/72, 95/6, 1103/24, -9/2, 395/18, -4853/72, 1/2, -2069/36, -1/2, 
  9271/288, -9271/288, 1/6, -1/6, 2057/36, 0, -289/36, -487/36, 331/36, 
  6505/72, 469/36, 11/2, -29/9, -1447/24, 33/4, 551/24, 6, -407/24, 253/24, 
  -73/12, -311/24, -11/12, 463/24, 1627/72, -1627/72, -1627/72, 0, 0, 0, 0, 
  -1627/144, 1627/144, 1627/144, -205/48, -1121/72, 4/3, 1675/144, -61/16, 
  -1651/72, -1627/144, 1/24, -1177/24, 1177/24, 589/12, 0, -35/16, -35/12, 
  35/16, -35/16, -7/24, 539/144, 427/72, 35/24, -539/144, 35/24, -31/8, 31/8, 
  35/8, -25/8, -53/24, -44/3, -671/24, -293/36, 543607/1728, -408109/17280, 
  -130229/8640, 92987/1440, 130229/8640, -223/36, -461/18, 461/18, 229/12, 
  -77/18, -17/12, -1207/36, 2/9, 817/72, 44/3, 1355/72, -1333/72, -2/3, 
  481/72, 55/24, 605/72, -1/12, -35/12, 35/12, 1309337/17280, 0, 0, 
  -486659/2880, 0, 0, -826283/8640, 632029/17280, 130229/8640, -111647/1440, 
  -130229/8640, -33/4, -923/72, -13/12, 1151/72, 13/12, 46517/360, 
  -46517/360, -46517/360, -156631/2160, 122471/2160, 158071/2880, -4757/64, 
  0, 4757/64, 37577/1440, 128551/4320, -695/36, 0, 695/36, -69101/4320, 3, 
  2521/48, 295/48, -265/48, 7117/288, 37/48, 169/8, 3587/144, -3671/96, 
  -757/24, -323/48, 8005/288, -10885/144, 2279/288, 2549/288, -35/12, 
  1909/72, -19777/72, 7957/36, -5, -637/3, -17/12, -11635/36, -10409/36, 
  1967/96, -4393/72, 91091/288, -11/8, -6361/36, 67/24, 2155/24, 1/24, 505/6, 
  -1835/24, 21641/96, -4475/24, -747/8, 6763/72, 68131/288, -9/2, -25/24, 
  1/6, 0, -2687/72, -221/18, 20867/288, 3341/72, -18299/288, 499/72, 86/9, 
  -929/144, 9029/192, 35/72, -3587/72, 317/72, 49/72, -31867/576, 2713/72, 
  109/18, -65/9, 97/2, 25/8, -2887/36, -197/24, 311/24, 307/6, -145/6, 
  4897/72, 247/8, -3833/72, -374/9, -99/8, -61/36, 3295/144, 259/36, 
  -1115/72, 3485/72, -9883/96, 25/18, -8/9, -45/8, 2027/36, 3/4, -17/12, 
  -43/36, 40187/1296, -275/72, -7/4, 9/2, -115/24, -19/18, 329/24, 140/9, 0, 
  -199/18, -845/18, 373/36, 113/36, 199/12, -1237/72, 31/24, 1/4, -27/8, 
  1715/72, -1/4, -35/72, -1715/72, 35/72, 7/4, 173/16, -979/36, -1487/144, 
  -485/48, -11/36, -7/18, -265/72, -115/1296, 179/324, -193/144, 15/8, 25/72, 
  -127/72, -127/48, -29/9, -15/8, 9/4, 29/9, -35/72, 67/144, 373/72, 14/9, 
  -89/18, -539/144, -1, -277/18, 10/3, 263/12, -7/6, 413/72, -707/24, 183/8, 
  -161/36, -667/72, -373/72, 111/8, 241/144, -31/72, -193/144, -85/12, 
  -157/36, 51/8, 451/144, -121/144, 197/18, 115/1296, 84527/1152, -233/12, 
  -14969/864, -48397/1920, 27/4, 36829/480, 1693/144, 13/24, -503923/8640, 
  -9, -2119/144, 0, -33155/864, 597469/17280, 125549/8640, -109157/1440, 
  -130229/8640, -19/4, 71/12, 203/72, -137/16, 13829/240, 9/2, -142291/2880, 
  542333/8640, 0, -14639/240, -9/2, -542333/8640, 0, -11023/180, 1/9, 
  -4939/432, -575/72, 1/3, 371/72, -19/18, -155/72, -13/4, -49/36, -407/72, 
  -95/36, 479/12, 8477/144, 365/36, -1075/6, -15401/144, -451/216, 949/432, 
  3351/32, 1023/16, -2171/12, 32663/96, 24023/144, -4411/96, -1033/9, 
  84101/72, 46145/144, -23545/72, -105347/72, 761791/2880, -74491/576, 
  -112499/288, -64229/576, 59389/180, -299/24, 1639/144, 5797/192, -6019/72, 
  -3775/144, -265/3, -1099/72, -42581/576, 269/12, 51233/576, -117/8, 
  1073/72, -7297/144, -22361/72, -19, -403/24, 964/9, -1279/16, -537529/1152, 
  -41047/288, -63797/3456, -339961/1728, 142051/1080, 242677/1728, 14345/192, 
  38927/360, -5773/192, -119153/1440, -33257/360, -180181/144, 30155/36, 
  -85837/384, 57/8, -1792/45, 0, 1792/45, 13979/240, 546463/432, 
  -1416085/1728, 241/3, 253805/1152, 43/8, 4941/16, -30871/108, -961381/1152, 
  -42085/144, -1144901/17280, -44087/5760, 2355/16, -1011055/3456, 
  1338307/8640, 0, -3/2, 0, 0, -11/6, -11/6, 19/6, 11/6, -11/6, -11/6, -11/6, 
  -11/6, -19/3, 41/12, 11/6, -13/3, -41/6, 2, -5/4, 1/4, -19/4, -41/12, 19/4, 
  1/4, 0, -1/12, 19/12, -5/4, 1/4, 0, 0, 11/6, 11/12, -16/3, -5/2, -1/4, 
  -11/12, -2/3, 1/4, 19/12, 61/48, 55/24, -10/3, -79/24, 5/24, 1/8, 5/16, 
  19/24, -1/12, -1/8, -65/24, -5/24, 1/12, -17/24, -1/12, -1/6, -49/48, 
  -11/24, 91/48, 85/24, -5/3, -1/8, 35/24, -109/24, 11/8, -139/24, -121/24, 
  3/2, 37/6, 3/4, 5/6, 13/12, -3/2, -3/2, 1/4, -1/4, 0, -5/16, -11/24, 21/16, 
  11/24, -1, -23/24, 15/8, 7/12, -47/24, -5, 11/16, 55/24, 0, -79/24, -71/24, 
  1/16, -11/24, -3/4, -1/8, 35/24, 1/3, 5/48, 29/12, 7/12, -27/8, -37/24, 
  7/16, -9/16, -11/24, 35/48, 21/8, -7/6, 43/48, 23/12, -71/24, -35/24, 
  11/12, -25/24, -11/8, 3/8, 17/12, 1/8, 5/24, -1/3, 1/8, 1/3, 1/8, -17/24, 
  7/12, -1/8, 37/48, 11/24, -5/12, -35/24, -5/24, 1/3, 19/16, 1/8, -3/4, 
  -1/3, -11/6, -7/12, 1/6, 1/8, -1/6, -1/3, 1/16, -11/24, -3/4, -1/16, 23/12, 
  3/4, -35/24, 5/48, 13/6, 7/12, -19/6, -37/24, 1/8, -17/24, 7/12, -1/8, 
  17/24, -7/12, -5/24, 5/24, 7/8, -2/3, -2/3, -5/24, 2/3, -3/8, 1/12, 5/6, 
  -1/12, -1/6, 11/6, 11/6, -19/6, -11/6, -11/6, 19/6, 0, 11/6, 11/6, -19/6, 
  41/24, 41/24, 0, -41/24, -1399/96, 0, 0, 0, 109/12, 5/3, -5/3, -5/6, -87/8, 
  1135/96, -81/32, -11/6, 4/3, 11/3, -239/24, 5/12, 109/12, -95/12, -5/4, 
  5/6, 125/8, -257/32, -71/32, -35/8, 1/12, 29/12, 3/2, -11/4, -1/4, 0, 27/8, 
  239/576, -239/576, 56/9, -5141/144, 8671/288, -8/9, 83/288, 19/9, 11/6, 
  -11/3, -20/3, 1739/48, 56/9, 275/72, 19187/576, -8/9, -527/576, 56/9, 
  -5825/144, 7687/288, -8/9, 1451/288, -11/24, 19/12, 23/8, 17/4, -1/8, 35/8, 
  -1/2, -11/6, -11/6, -35/72, 35/9, 0, -35/9, -7/6, -523/72, -3/2, -7/6, 
  25/12, -371/32, 2495/288, -23/8, 0, 23/8, -35/8, 35/8, 35/8, -1/12, -21/16, 
  3439/144, 73/36, -6337/144, -35/24, -1729/288, 2417/288, -293/36, 331/48, 
  11/6, 11/2, -47/24, -19/4, 13/3, 39/4, 2497/288, -1/12, -1421/72, 1127/36, 
  203/12, -7639/288, 35/24, 6829/288, -1433/288, -347/72, 21/16, -35/8, 
  -17/12, -19/12, 3/2, -209/24, -1/4, 0, 959/96, -2359/288, 2359/288, 
  1309/72, 4/3, -11/6, 11/6, -1447/288, -1/12, -1/6, -6631/288, 1/6, 1/4, 1, 
  3647/288, -197/32, -1943/288, -1657/72, -41/24, -1/24, 0, 1/24, -12125/288, 
  -1/4, 1/4, 1/3, 11/4, 11/6, 0, -11/6, -116921/3840, -1979/864, 1979/864, 
  1979/864, -1979/288, -784529/17280, 1979/288, -2663/432, -3347/288, 
  -116921/3840, -784529/17280, 429923/11520, 1/24, 0, -1/24, -35/24, 35/24, 
  109/12, -109/24, 109/24, -5/3, -109/6, 63/8, 5/3, -1/6, -217/24, 2/3, 71/8, 
  -1741/24, 281/4, 11/3, -631/8, -11/6, -1/2, 11/3, -65/8, -13/12, 101/12, 
  7/12, -39/4, 2917/576, -2917/576, 2917/576, 56/9, 259/36, 9713/288, -8/9, 
  -383/288, 56/9, -4997/144, -9/4, -8/9, 1663/48, -17839/576, 16415/576, 
  -8/3, 2789/576, -8/9, 11/6, 7/6, -20/3, 1699/48, 56/9, -4961/144, -9/4, 
  -62/9, 1663/48, 385/72, 35/36, -35/36, 35/8, -7/6, -523/72, -3/2, 23/8, 
  -23/8, -23/8, 217/72, 68/9, -367/18, -92/9, 1591/72, -29/24, 35/9, 0, 
  -35/9, -21/8, 7/6, 313/72, -17/24, 1/24, -403/72, 319/144, 1151/72, 
  1603/48, -137/4, -3277/48, 1/6, 3031/144, -883/16, -341/18, 2257/32, -3, 
  -589/32, 5/6, 559/36, 9319/288, -787/288, -521/72, -505/16, 191/6, 7213/96, 
  -19/6, -19/4, -11/12, 33/4, -155/288, 3, 581/32, -5/6, -559/36, -9319/288, 
  1/12, 1/6, 6631/288, -1/6, -1/4, -1/12, -3277/96, 3277/96, 3269/96, 
  6967/288, -6319/288, -467/18, -5/18, -1/2, -11/6, 11/6, -3149/96, -1/12, 
  9679/288, 7/6, -119/288, -9751/288, -2507/288, -1979/864, -11/6, 1979/864, 
  -9/4, 11/6, -11/6, 0, 1979/288, -1979/288, -1979/864, 1979/864, 1979/432, 
  -1/6, -1979/864, 1979/864, 1979/864, -29/24, -1943/288, -13/24, 
  -776609/17280, 2135/288, -11/3, 11/48, 11/24, 269/48, -19/6, -13/6, 91/24, 
  3/8, 17/6, -1/2, -20263/288, 355/24, 22627/288, 2027/96, -329/24, -83/72, 
  -181/144, -11/24, 673/144, 31/8, -23/6, 55/36, 43/24, -205/24, 187/36, 
  -1769/48, 7747/288, -83/96, 233/96, -2/3, 0, -19/8, 8/3, 0, 0, -8/3, 0, 
  25/48, -1873/288, -379/144, 1961/288, 2159/288, -11/3, -107/48, 49/24, 
  37/16, -61/24, 5/3, 103/24, -61/24, 85/24, -1/2, -1553/96, -4217/144, 
  1639/288, 6469/144, 3317/36, -9/16, 9/16, 11/24, 7/8, -71/24, 0, -43/48, 
  -23/12, 71/24, 35/24, -3253/288, 291/32, 755/48, -809/96, -707/36, 49/108, 
  29/24, 7/24, 0, -29/24, -7/24, -1/6, -145/8, 5/6, 163/12, -2/3, -2/3, 
  -11/6, 357/32, 71/8, -109/12, 2/3, -365/32, 0, -11/6, -1/2, 11/6, 1/2, 
  11/3, -11/6, -859/12, 443/6, 11/6, -223/3, -2/3, 1949/24, 25/48, -78, 
  -1/12, -199/24, 19/6, -5/32, -603/8, 251/3, 1663/24, 395/16, -1925/288, 
  -1/16, 11/24, 1/3, -73/24, -9/8, 5/3, 1, -31/16, 23/3, 13/6, 2267/96, 
  17383/288, -125/64, 1909/96, -37/24, 5167/576, -667/576, 233/36, 611/288, 
  -5167/576, -167/288, -28/9, 221/36, -13/4, -263/288, -2197/576, 349/64, 
  -275/72, -149/64, 125/48, 5827/288, -47/24, -5/72, 6181/576, 2957/576, 7, 
  1105/32, -2005/192, -359/288, -127/144, -11/24, 5/12, 251/72, 43/24, -31/4, 
  755/144, -1567/48, -4/3, -141/32, 4799/144, 7/6, -23/12, -2285/288, -35/36, 
  2285/288, 35/36, 2, -53/36, 1733/288, 22/9, 83/36, -5/16, 26/9, -7/4, 3/8, 
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  -2/9, 235/72, -5/6, -1/6, -61/72, -13/12, 77/18, -26/3, 169/72, 119/72, 
  1/24, -17/8, -119/72, 7/4, -23/8, -29/18, -35/36, 29/18, 35/36, 3, -53/36, 
  -91/72, 22/9, 49/18, -41/48, 35/72, 41/48, 0, -11/72, 35/72, 25/72, 35/72, 
  23/16, 7/4, 1/2, -181/48, -33/16, 181/48, -1/2, -35/72, 161/72, 35/36, 
  11/4, -29/72, -125/24, 13/8, 101/72, -47/24, 35/36, 17/12, 47/24, -35/36, 
  -17/12, 0, 49/12, 115/72, -103/24, -185/72, -17/18, 1/6, 409/72, 13/8, 
  -217/36, -11/24, -38/3, -113/12, -89/24, 5221/72, -581/36, -893/8, 
  -10445/72, -3/4, -7/24, 5/4, -103/24, -467/72, 865/36, 1/4, -1/12, -3/2, 
  425/72, 1/3, 11/4, 28/3, -271/36, -1225/72, 1291/72, 593/12, 1961/72, -3/4, 
  7/2, 3/4, -11/4, 1/2, -9, -16/3, 701/72, 148/9, 1/12, 1/6, -7/8, 199/36, 
  -1/6, -199/36, -1/6, 1/6, -461/72, -1/6, -1/4, -1/2, 1/2, -7/9, 217/36, 
  -5/18, -1/8, -3/4, 37/24, -79/24, -7/6, 3/4, -17/4, 23/24, -5/6, 269/72, 
  5/6, 17/12, -5/8, 2, 5/8, -2, 5/12, 835/72, -17/24, -835/72, -104/9, 
  -61/12, 9/2, 61/12, 0, -3/8, -5/24, 0, 3/8, 0, 0, -137/48, 31/16, 83/48, 
  -17/16, 13/24, 137/48, -9/4, -91/48, 0, 13/48, -13/24, -13/48, -3/4, 9/4, 
  25/4, 19/6, -9/4, -25/4, 0, -125/48, -5/12, -13/12, 49/12, 13/12, -3/4, 
  13/6, -17/12, 1/4, -17/12, 7/6, -13/24, 107/3, 2/3, -821/24, -1/8, -95/2, 
  1129/24, 9283/288, 295/8, -9271/288, -1157/24, 9307/288, 77/18, -31/4, 
  47/12, -163/36, 71/12, -667/72, -3/4, 223/24, -7/6, -15/4, 317/36, 19/36, 
  13/36, -7/18, 13/4, -2/3, 1/6, 3/8, -25/48, -35/72, 7/48, -3/8, 25/48, 
  35/72, -7/48, 0, 13/24, 5/8, -37/16, -23/12, 85/48, -5/8, -35/72, 173/72, 
  35/72, 7/8, -35/72, -7/72, 35/36, 77/72, 53/24, -29/12, 1/2, -59/24, 13/6, 
  7/24, -725/72, -9/2, 803/36, 47/12, 703/36, -413/36, 124/9, -1195/72, 
  -53/3, 353/8, 1075/36, -1/4, 17/12, -7/6, 1/4, -17/12, 7/6, 1/3, -7/12, 
  -5/8, -47/12, 7/24, 7/12, 47/12, 11/12, -1/3, 109/24, 1/3, 7/12, 0, 11/48, 
  0, -3/16, -11/48, 9/4, -9/4, 7/12, -9/4, -17/6, 0, -17/6, 9/4, 17/6, 0, 
  -5/2, 83/48, 47/24, -19/48, 13/24, 5/2, -9/4, -41/16, 0, 13/48, -13/24, 
  -13/48, -112, 17065/72, 2933/9, 2821/18, 3737/96, 1667/18, 15149/288, 
  -1243/24, -38563/288, -107/6, -142/3, -2975/144, -673/36, 2617/48, 5/9, 
  -5333/72, -2, 1627/72, -1627/72, 0, 5987/288, 2875/72, -31/24, -315/8, 
  7187/288, -5/6, 199/2, 541/36, -1123/36, 3643/18, -149/9, -23239/72, -26/3, 
  -1109/6, -63, 475/18, 38503/144, -1/6, 422/3, -749/3, -459/2, 769/24, 
  295/48, 4463/96, 757/24, -4709/96, -1/6, -211/3, -991/24, -749/3, -83, 
  -5/6, -153/8, 67/24, -361/6, -315/8, -931/4, -2707/36, -42407/36, -6295/3, 
  -83669/72, 872/9, 2747/18, -6719/36, 6473/36, 1441/36, 1571/12, 25343/36, 
  12121/24, 9/4, -23/8, 20173/72, 11831/36, 18149/72, 81/4, -1/6, 37/36, 
  -325/12, -17/12, -272/3, 245/36, -1333/18, 433/12, 2219/6, 4651/36, 
  -2887/36, -38761/72, 5/6, 2867/36, -3/2, -1921/72, -35003/288, -109/12, 
  109/12, -1/4, -297/4, -22/3, 889/12, -223/3, 1/2, -1445/36, -1/2, 77/3, 
  -143/24, 7/12, 41/6, -77/12, 7/72, 3455/18, 799/12, -9787/36, 48, 27/4, 
  2885/72, -5959/72, 739/12, -668/9, -917/18, 321/4, 103/18, 631/72, -131/6, 
  -1043/24, 27/2, -401/18, 4169/72, -1/2, 1445/36, 1/2, -8971/288, 8971/288, 
  -1/6, 1/6, -1433/36, 0, 331/36, 487/36, -373/36, -7303/72, -469/36, -49/6, 
  125/36, 2023/24, -49/4, -791/24, -27/4, 629/24, -329/24, 85/12, 419/24, 
  2/3, -589/24, -1627/72, 1627/72, 1627/72, 0, 0, 0, 0, 1627/144, -1627/144, 
  -1627/144, 205/48, 1121/72, -4/3, -1675/144, 61/16, 1651/72, 1627/144, 
  -1/24, 1165/24, -1165/24, -583/12, 0, 35/16, 35/12, -35/16, 35/16, 7/24, 
  -539/144, -427/72, -35/24, 539/144, -35/24, 35/8, -35/8, -35/8, 25/8, 
  53/24, 44/3, 671/24, 293/36, -774619/1728, 918481/17280, 607841/8640, 
  -34703/1440, -607841/8640, 223/36, 461/18, -461/18, -229/12, 77/18, 17/12, 
  1207/36, -2/9, -817/72, -44/3, -1355/72, 1333/72, 2/3, -481/72, -55/24, 
  -605/72, 1/12, 35/12, -41/12, -1690253/17280, 0, 0, 660551/2880, 0, 0, 
  1379927/8640, -1142401/17280, -607841/8640, 53363/1440, 607841/8640, 39/4, 
  1031/72, 13/12, -1295/72, -13/12, -50753/360, 50753/360, 50753/360, 
  153499/2160, -151019/2160, -154939/2880, 16739/192, 0, -16739/192, 
  -41813/1440, -121099/4320, 731/36, 0, -731/36, 97649/4320, -3, -2521/48, 
  -295/48, 265/48, -7117/288, -37/48, -169/8, -3587/144, 3671/96, 757/24, 
  323/48, -8005/288, 10885/144, -2279/288, -2549/288, 35/12, -1909/72, 
  19777/72, -7957/36, 5, 637/3, 17/12, 11635/36, 10409/36, -1967/96, 4393/72, 
  -91091/288, 11/8, 6361/36, -67/24, -2155/24, -1/24, -505/6, 1835/24, 
  -21641/96, 4475/24, 747/8, -6763/72, -68131/288, 9/2, 25/24, -1/6, 0, 
  2687/72, 221/18, -20867/288, -3341/72, 18299/288, -667/72, -235/18, 
  1529/144, -13169/192, -35/72, 4463/72, -317/72, -49/72, 43231/576, 
  -3721/72, -109/18, 86/9, -467/12, -107/24, 2497/36, 65/24, -311/24, 
  -745/12, 31/3, -4897/72, -421/24, 5255/72, 374/9, 127/8, 61/36, -4351/144, 
  -259/36, 1319/72, -3365/72, 10471/96, -25/18, 8/9, 53/8, -1403/36, -3/4, 
  17/12, 43/36, -51443/1296, 359/72, 7/12, -9/2, 187/24, 32/9, -437/24, 
  -385/18, 0, 587/36, 1181/18, -517/36, -71/9, -265/12, 1903/72, -31/24, 
  -1/4, 27/8, -1715/72, 1/4, 35/72, 1715/72, -35/72, -7/4, -173/16, 979/36, 
  1487/144, 485/48, 19/72, 43/72, 32/9, -773/1296, 265/324, 193/144, -15/8, 
  -25/72, 127/72, 127/48, 29/9, 15/8, -9/4, -29/9, 35/72, -67/144, -373/72, 
  -14/9, 89/18, 539/144, 1, 277/18, -10/3, -263/12, 7/6, -413/72, 707/24, 
  -183/8, 161/36, 667/72, 373/72, -111/8, -241/144, 31/72, 193/144, 221/24, 
  145/36, -9, -373/144, 49/144, -197/18, 1421/1296, -25429/384, 233/12, 
  3341/864, 100913/1920, -27/4, -8107/160, -1693/144, -13/24, 148927/8640, 9, 
  2119/144, 0, 16379/864, -1107841/17280, -603161/8640, 50873/1440, 
  607841/8640, 8, -55/6, -245/72, 137/16, -15241/240, -9/2, 139159/2880, 
  -596297/8640, 0, 16051/240, 9/2, 596297/8640, 0, 6041/90, -1/9, 3355/432, 
  575/72, -1/3, -371/72, 13/18, 131/72, 1/2, 49/36, 653/72, 61/18, -479/12, 
  -8477/144, -365/36, 1075/6, 15401/144, 895/216, -2725/432, -3319/32, 
  -1023/16, 2171/12, -32663/96, -24023/144, 4411/96, 1033/9, -84101/72, 
  -46145/144, 23545/72, 105347/72, -758659/2880, 81895/576, 112499/288, 
  56825/576, -119837/360, 383/24, -1639/144, -3553/192, 9667/72, 3775/144, 
  358/3, 1711/72, 71777/576, -139/6, -80861/576, 149/24, -1073/72, 10021/144, 
  20441/72, 19, 547/24, -3325/36, 1583/16, 536809/1152, 34567/288, 
  136409/3456, 525181/1728, -390469/1080, -390889/1728, -20261/192, 
  -40283/360, 7657/192, 162917/1440, 30833/360, 179689/144, -20921/36, 
  78581/384, -57/8, 8227/180, 0, -8227/180, -15391/240, -545539/432, 
  906769/1728, -713/6, -201293/1152, -55/8, -4613/16, 30703/108, 937813/1152, 
  38845/144, -15271/17280, 495443/5760, -3833/48, 1472107/3456, 
  -3219343/8640, 0, 0, -3/2, 1/4, 19/12, 19/12, -19/6, -11/6, 11/6, 11/6, 
  11/6, 11/6, 19/3, -11/3, -11/6, 55/12, 41/6, -2, 1, -3/4, 19/4, 19/6, 
  -19/4, -1/4, -1/2, 1/3, -31/12, 0, 1/4, -1/2, 1/2, -11/6, -17/12, 16/3, 
  5/2, 0, 2/3, 11/12, 0, -19/12, -61/48, -55/24, 10/3, 79/24, -5/24, -1/8, 
  -5/16, -19/24, 1/12, 1/8, 65/24, 5/24, -1/12, 17/24, 1/12, 1/6, 49/48, 
  11/24, -115/48, -85/24, 13/6, 1/8, -35/24, 115/24, -11/8, 139/24, 115/24, 
  -3/2, -37/6, -7/4, -7/12, -1/12, 5/4, 1/4, 1/4, -1/4, -1/2, 5/16, 11/24, 
  -21/16, -11/24, 1, 23/24, -15/8, -7/12, 47/24, 5, -11/16, -55/24, 0, 79/24, 
  71/24, -1/16, 11/24, 3/4, 1/8, -35/24, -5/6, -5/48, -29/12, -13/12, 27/8, 
  37/24, -7/16, 9/16, 11/24, -35/48, -21/8, 7/6, -43/48, -23/12, 71/24, 
  35/24, -11/12, 25/24, 11/8, -3/8, -17/12, -1/8, -5/24, 1/3, -1/8, -1/3, 
  -1/8, 17/24, -7/12, 1/8, -37/48, -11/24, 5/12, 35/24, 5/24, -1/3, -19/16, 
  -1/8, 3/4, 1/3, 11/6, 7/12, -1/6, -1/8, 1/6, 1/3, -1/16, 11/24, 3/4, 1/16, 
  -23/12, -3/4, 35/24, -5/48, -13/6, -7/12, 19/6, 37/24, -1/8, 17/24, -7/12, 
  1/8, -17/24, 7/12, 5/24, -5/24, -7/8, 2/3, 2/3, 5/24, -2/3, 3/8, -1/12, 
  -5/6, 1/12, 1/6, -19/12, -19/12, 19/6, 19/12, 19/12, -19/6, 0, -19/12, 
  -19/12, 19/6, -35/24, -35/24, 0, 35/24, 1051/96, 0, 0, 0, -109/12, -5/3, 
  5/3, 5/6, 87/8, -787/96, -35/32, 11/6, -4/3, -11/3, 239/24, -5/12, -109/12, 
  95/12, 5/4, -5/6, -125/8, 149/32, 187/32, 47/8, -1/3, -35/12, -3/2, 4, 
  -1/4, 1/2, -95/12, -2507/576, 2507/576, -77/9, 5351/144, -6763/288, 11/9, 
  -1259/288, -22/9, -11/6, 4, 22/3, -603/16, -77/9, -301/36, -20135/576, 
  11/9, 2795/576, -77/9, 6035/144, -5851/288, 11/9, -2627/288, 17/24, -31/12, 
  -35/8, -19/4, 5/8, -47/8, 0, 11/6, 11/6, 53/72, -35/9, 0, 35/9, 7/6, 
  541/72, 3/2, 7/6, -11/6, 371/32, -2495/288, 35/8, 0, -35/8, 47/8, -47/8, 
  -47/8, 1/12, 137/16, -4483/144, -73/36, 1117/144, 47/24, 541/288, 
  -1733/288, 293/36, 29/48, -11/6, -11/2, 47/24, 19/4, -55/12, -39/4, 
  -1669/288, 1/12, 1421/72, -1127/36, -203/12, 4507/288, -47/24, -5641/288, 
  821/288, 347/72, -141/16, 47/8, 7/6, 31/12, -3/2, 347/24, -1/4, 1/2, 
  -959/96, 1315/288, -1315/288, -131/9, -4/3, 11/6, -11/6, 403/288, 1/12, 
  1/6, 5587/288, -1/6, -1/4, -1, -2603/288, 205/32, 2987/288, 349/18, 65/24, 
  -5/24, 0, 5/24, 11441/288, -1/4, 1/4, 1/6, -9/4, -11/6, 0, 11/6, 
  44743/1280, 4679/864, -4679/864, -4679/864, 4679/288, 724301/17280, 
  -4679/288, 5363/432, 6047/288, 44743/1280, 724301/17280, -589847/11520, 
  35/24, 0, -35/24, 71/24, -71/24, -109/12, 109/24, -109/24, 5/3, 109/6, 
  -63/8, -5/3, 1/6, 217/24, -2/3, -71/8, 1741/24, -281/4, -11/3, 631/8, 11/6, 
  1/2, -11/3, 65/8, 13/12, -101/12, -1/12, 39/4, -1657/576, 1657/576, 
  -1657/576, -77/9, -293/18, -11321/288, 11/9, 2651/288, -77/9, 5147/144, 
  67/12, 11/9, -571/16, 19891/576, -18467/576, 17/6, -1529/576, 11/9, -11/6, 
  -3/2, 22/3, -587/16, -77/9, 5111/144, 61/12, 233/36, -571/16, -403/72, 
  -35/36, 35/36, -37/8, 7/6, 541/72, 3/2, -35/8, 35/8, 35/8, -235/72, -68/9, 
  761/36, 92/9, -1591/72, 53/24, -35/9, 0, 35/9, 39/8, -7/6, -403/72, -7/24, 
  35/24, 493/72, -1363/144, -1151/72, -1255/48, 137/4, 2233/48, -1/6, 
  -4075/144, 999/16, 341/18, -749/32, 4, 505/32, -7/3, -559/36, -6331/288, 
  1831/288, 521/72, 389/16, -191/6, -6169/96, 19/6, 19/4, 17/12, -33/4, 
  1631/288, -4, -497/32, 17/6, 559/36, 6331/288, -1/12, -1/6, -5587/288, 1/6, 
  1/4, 1/12, 2929/96, -2929/96, -2921/96, -5923/288, 5275/288, 467/18, 5/18, 
  1/2, 11/6, -11/6, 2801/96, 1/12, -8635/288, -2/3, 1163/288, 8707/288, 
  5207/288, 4679/864, 11/6, -4679/864, 17/4, -11/6, 11/6, 0, -4679/288, 
  4679/288, 4679/864, -4679/864, -4679/432, 1/6, 4679/864, -4679/864, 
  -4679/864, 41/24, 4643/288, 13/24, 690461/17280, -4835/288, 25/6, 1/48, 
  -11/24, -293/48, 35/12, 13/6, -103/24, -3/8, -31/12, 1/2, 20335/288, 
  -355/24, -22627/288, -1703/96, 329/24, 167/72, 157/144, 11/24, -1153/144, 
  -89/24, 6, -97/36, -35/24, 269/24, -229/36, 613/16, -6319/288, -293/96, 
  -625/96, 2/3, 0, 19/8, -35/12, 0, 0, 35/12, 0, -13/48, 1945/288, 379/144, 
  -2033/288, -2159/288, 25/6, 119/48, -49/24, -37/16, 61/24, -13/6, -115/24, 
  61/24, -91/24, 1/2, 1601/96, 3245/144, -2755/288, -5533/144, -701/9, 9/16, 
  -9/16, -11/24, -7/8, 71/24, 0, 43/48, 23/12, -71/24, -35/24, 3253/288, 
  -175/32, -755/48, 461/96, 1153/72, -11/54, -29/24, -19/24, 0, 29/24, 19/24, 
  1/6, 145/8, -5/6, -163/12, 2/3, 2/3, 11/6, -241/32, -71/8, 109/12, -2/3, 
  249/32, 0, 11/6, 1/2, -11/6, -1/2, -11/3, 11/6, 859/12, -443/6, -11/6, 
  223/3, 2/3, -1949/24, -25/48, 78, 1/12, 199/24, -19/6, -111/32, 603/8, 
  -251/3, -1663/24, -279/16, 1925/288, -7/16, -11/24, 1/6, 97/24, 9/8, -13/6, 
  -1, 39/16, -23/3, -13/6, -1871/96, -17383/288, -269/192, -1015/32, 25/24, 
  -43/576, 3271/576, -140/9, -2735/288, 43/576, 2435/288, 77/18, -311/36, 
  55/12, 2351/288, 241/576, -209/64, 359/72, -197/192, -181/48, -9235/288, 
  35/24, 17/72, -2401/576, -1697/576, -193/12, -3803/96, 361/192, 2627/288, 
  151/144, 11/24, -7/12, -335/72, -35/24, 125/12, -1019/144, 539/16, 14/3, 
  47/96, -4949/144, -7/6, 23/12, 2357/288, 35/36, -2357/288, -35/36, -2, 
  53/36, -1805/288, -22/9, -83/36, 5/16, -26/9, 7/4, -3/8, 0, 35/12, 3/8, 
  -5/6, -26/9, 313/144, 35/18, -377/144, -7/6, -1/8, 133/48, -133/36, -1/8, 
  1/8, 35/36, -737/288, -35/36, -5/8, 25/18, -149/288, -85/36, -23/36, 47/24, 
  0, -29/6, -47/24, 0, 29/6, 0, -27/8, 313/288, 27/4, -313/288, -625/288, 
  35/24, 623/288, 569/72, -221/48, 991/96, 13/12, 307/72, -1759/72, 1301/96, 
  523/36, -1217/96, -26209/144, 19133/288, 57337/288, 72295/288, 11/6, 37/8, 
  -77/48, -59/24, -1, -33/8, 115/24, 82/9, 155/18, 5215/288, -1705/72, 
  -6301/96, -15/8, -673/72, -227/72, 59/12, -369/32, -7/6, 217/36, 265/24, 
  -1369/96, -53/9, 7441/288, 25999/288, -18235/288, -3007/32, -4055/72, 
  -161/48, -49/24, -1/12, 85/24, 97/24, 1/6, -1, 161/48, 2983/144, 19/12, 
  -3365/144, -4021/96, -1/24, -1/12, 1/3, -373/72, 1/12, 373/72, 1/12, -1/12, 
  397/72, 1/12, 1/8, 1/4, -1/4, 7/18, -391/72, 5/36, 1/24, 5/24, -3/16, 
  205/36, 13/12, -5/24, 1321/144, -5/24, 1/3, 3851/288, -1/3, -13/24, 1/16, 
  -11/24, -3/4, -1/16, 23/12, 3/4, -35/24, 7/48, -8123/288, 1/2, 7835/288, 
  8291/288, 11/12, -317/1728, -77/32, 317/1728, 2317/576, 77/32, 101/1728, 
  31/8, -31/6, -41/12, 11/6, -25/6, -11/6, 4679/864, 11/6, -4679/864, 
  1101521/17280, -49/12, -134549/1920, -4679/864, -3005063/34560, 0, 
  4679/864, 44743/640, 4679/288, 4679/432, -4679/864, -4679/432, 
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