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  59/16, 21/8, 1/4, -39/8, -23/16, 1/8, 27/16, -3/8, 5/24, -185/48, -11/3, 
  13/16, -19/24, -61/48, -5/12, 29/24, 17/48, 5/24, -5/4, -103/16, -123/16, 
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  15/16, 3/4, -5/12, 25/24, 1/24, 0, 0, -13/8, 123/16, 0, -5/8, 17/4, 
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  0, 0, 1, 0, 0, 0, 0, 0, 0, -7/2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -9/4, 3/4, 
  -3, 3, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 3/4, 25/8, 
  -25/12, 17/12, -4/3, 1, 1/2, -11/3, -4/3, 1/2, -7/6, 2, 1, 1/2, 15/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55/12, 0, -55/12, 0, 0, -61/6, 0, 0, 0, 0, 
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  1, 0, -2/3, -1, -4, 0, 0, -10/3, 3, -1/3, 0, 4, 14/3, -12, 23/3, -6, -1/2, 
  25/3, 0, 0, -22, -3/2, 161/6, 22, -3, -2, -2, 3, 23, 0, 0, 0, 0, 0, 8, 4, 
  -1/2, -3/2, 2, -10, 0, 2/3, 0, 0, 7/3, 7/3, -2/3, 5/3, -5/3, 4/3, 0, 0, -1, 
  0, 0, 0, 0, 0, -1, -3, 1/2, -11/2, -5/2, -3/2, -33/8, 65/8, 49/8, -9/8, 
  41/8, -3/2, 17/8, -3/2, 1/2, -7/2, -23/4, -41/4, 53/4, 29/6, -29/4, 23/4, 
  -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 57/2, -1/2, 53, 49/2, 0, 2, 2, 1/2, 
  1/2, -75/2, -67/2, -2, 9, 0, -11/8, 3, 45/8, -3/2, -9/2, 3/4, -51/4, 0, 12, 
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  81/8, 39/4, 21/4, 3/2, 3/4, 7/2, -9/4, 17/4, 19/4, 13/4, 17/4, -14/3, 
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  0, 1/4, 5/3, -3/4, -23/96, -5/8, -37/24, -1/4, -251/96, 79/32, 11/6, 11/12, 
  -7/6, -25/16, -923/96, 317/48, 173/24, -1/4, 7/4, -7/4, 5/4, -5/4, 19/12, 
  -8/3, -301/96, -11/12, -337/48, -18, 111/16, 1183/96, -107/24, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 19/3, 123/16, 0, -155/48, 0, -19/3, -819/16, 
  131/12, 243/8, 0, -15/16, 0, -7/16, -1/2, 0, 0, 0, -395/48, 0, 0, 55/6, 
  1/2, -11/4, 9/4, 157/24, 21/8, 0, 0, -69/16, -13/4, 0, -1/2, 0, 9/2, -1/4, 
  0, 69/16, 67/16, -1/2, -65/16, -15/16, 2/3, -1, 0, -4/3, -5/3, 1/2, -1, 
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  -3, 19/6, 4, -26/3, -21/2, 17/4, -5/4, -1/2, 9/4, -1/4, -1/12, -109/16, 
  9/2, 3, -15/4, -5/4, -5/4, -93/2, -10, -1/2, 121/12, 9/4, 203/12, -1/12, 
  -101/16, -41/16, -14, 45/16, 1/2, -9/2, 6, -1/4, -7/4, 1/4, -5/4, 5/2, 1/4, 
  77/12, 7/4, -77/12, -1/3, 34/3, 0, -45/4, -19/4, -33/4, 5/4, 43/2, 79/4, 
  -7/8, -35/3, -71/4, -9/2, -21/4, 71/3, 3/2, 19/12, -8, -3/4, -23/12, 39/8, 
  -1/4, 59/4, -9/2, 77/12, 6, 0, -49/12, 79/12, 0, -53/12, 0, 19/12, -115/12, 
  11/3, 13/4, -131/12, -53/6, 29/12, 173/4, -51/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 3, 14/3, -1/4, 2, -2/9, 0, -1/2, 79/6, 25/36, 9/2, -107/12, 9/4, 
  -23/9, -155/12, -61/36, 149/12, -25/36, 299/36, 25/36, -7/4, -31/6, -11/2, 
  -3/2, 0, 3/2, -13/8, 0, 1, -27/2, 1/4, -5/12, -1/3, -89/80, -5/36, 1/2, 
  -5/8, -2/3, 5/8, 1/6, -87/80, -127/80, -119/80, 323/720, 11/2, -9/2, -6, 0, 
  0, 0, 0, -7/80, -3/2, 137/80, 0, 47/4, -9/2, -723/80, 17, 0, -8, 3/4, 
  -221/12, -3/4, -9/4, -1/2, -11/4, 1/2, 145/16, -1/2, 15/16, 8/3, -7/12, 
  -275/48, -13/6, -21/8, 39/8, 1/2, 27/8, -9, 5/16, 0, 105/16, 91/16, 95/16, 
  71/4, 61/4, 27/8, -9, 7, 3/8, 9/8, -7, -9/8, 15/8, 1/4, 25/6, 63/8, -31/6, 
  -181/4, 115/16, -23/12, -211/8, 1/2, 595/24, 1295/48, -57/4, -791/36, 
  163/12, -101/8, -1211/48, 1/6, 565/16, 6005/96, 211/16, 385/24, -533/144, 
  -969/16, -83/24, 1/2, -673/24, 1/6, 457/16, 6407/96, 117/16, 113/8, 
  -533/144, -2659/48, -83/24, -71/8, -49/16, 41/8, 23/6, -109/8, 0, 0, 0, 0, 
  9, -9, -1/2, 13/6, -8/3, -5/2, 26/9, 0, 9, 0, 0, -357/40, 3, -93/40, 0, -9, 
  0, 0, 0, 5/2, 21/2, 1/4, -9/4, 2, 5/12, -20/3, -59/36, 7/8, -5/6, 5/12, 0, 
  -25/4, -123/8, -5/12, 85/12, 5/12, 15/4, 81/8, -15/4, 0, -1/6, 7/2, -21/2, 
  0, 7/3, -31/2, 0, -35/12, 1/4, 0, -13/12, 11/2, -17/12, 49/3, 119/12, 7/12, 
  7/4, 35/12, -1/3, 1/6, 7/4, 123/4, 1/12, 12, -11/2, 3/4, -99/4, -275/12, 
  -23/12, -21/4, -27, 0, 51/4, 27/4, 0, -5/2, -10, -1/2, 33/4, 10, 5/8, 
  -23/4, -1/8, -1/12, 185/24, 4, 1/24, -209/24, 131/12, -5/12, -163/24, 
  35/12, 1/2, 15/8, 89/8, -6, -89/8, 33/8, -155/24, -77/8, 197/24, 49/12, 
  15/4, -15/4, -6, 1/4, 149/12, 253/24, -491/16, -4691/96, -257/24, -125/16, 
  -7/8, 13/8, -41/48, -31/8, 1933/48, 415/72, 35/8, 13/48, -97/72, 55/2, 
  117/8, -13/12, -329/24, 65/36, -51/2, 5/4, 0, -9, 0, 9, 0, 0, 229/80, 15/8, 
  -13/24, -357/40, 13/24, -1/48, -35/8, 41/24, 43/144, 0, 9, 0, -27/4, 0, 0, 
  0, 0, 5/4, 21/4, 0, -3, -21/4, 1/2, 7/4, -1/2, 0, -55/12, -21/4, -5/12, 
  10/3, 5/12, -5/4, -123/8, 5/2, 123/8, -5/4, 85/12, 123/8, -35/6, 81/8, 
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  -17/12, -1/4, 0, -17/4, 17/8, -5/12, 77/12, 5/12, 15/4, 0, -5, -13/4, 0, 0, 
  39/4, 31/2, -1/2, -2, -27/2, 7/4, 13/4, -7/4, -5/12, -43/12, -64/3, 5/4, 
  27/4, -31/12, 5/12, 8, 7/6, 5/6, 15/4, -33/2, -485/8, -23/2, 9, 17/2, 
  -67/12, 319/6, 157/12, -41/6, 4, 187/4, 1, -75/4, -7, 0, -3/4, -1/2, 0, 
  -13/24, 35/8, 1/2, 77/32, -3/4, -1/2, -7/24, 5/12, 389/192, 37/96, 9/8, 
  5/24, 1/3, 67/32, -67/8, -259/96, -557/48, 33/8, -5/12, -261/64, -53/96, 
  -1/3, 25/6, 11, -27/4, -17/12, 0, 0, 0, 0, 205/24, -125/24, 107/16, 
  -117/32, 91/16, 23/4, 1823/72, 341/16, -17/3, -1/4, 19/40, 117/8, 5/6, 
  587/80, 1/24, 11/24, -23/8, -413/240, 0, -19/72, 0, 0, 15/16, 21/4, -1/4, 
  -165/32, -237/32, 1/4, 3/8, 1/8, -5/24, -10/3, 5/8, 147/32, -61/24, -5/12, 
  -29/24, 0, -25/16, -123/8, 351/32, 259/16, -9/4, 5/24, 265/48, -1267/96, 
  -5/24, 5/8, 327/8, -53/32, -235/24, -81/4, 0, 11/8, -5/8, -1/2, 5/8, 11/6, 
  1/2, -13/24, -43/24, 3/4, 29/24, -31/12, 2/3, 7/24, -13/24, 0, 31/8, -47/8, 
  -7/2, -59/8, -15/8, -155/24, 47/12, 37/6, 10/3, -11/8, -15/8, -3/8, 1/4, 
  -9/8, -1/4, -87/8, -35/6, 115/16, 2911/96, 0, 91/16, -23/2, 349/48, 557/72, 
  -697/48, 11/3, 23/2, -317/48, -11/3, 23/2, 265/16, 25/4, -67/6, -827/48, 
  83/24, -123/4, -93/4, 743/48, 27, -1/12, -9/4, -25/2, -1/2, -47/8, 5/24, 
  1/8, -9/80, 53/4, -1/6, 1231/120, 3/8, 91/48, 13/12, -3, -331/144, 1/12, 
  343/72, 89/4, 19/12, -43/18, -3/2, -79/18, -39/4, 33/4, 0, 0, -107/24, 
  -101/24, -21/4, 23/8, 14, 61/8, -29/8, -101/12, 1, -3/8, 8/3, 67/24, 
  -295/48, -40/3, 195/16, 13/6, 19/8, 95/16, -23/12, -26/3, 137/24, 123/8, 
  79/24, -33/2, 11/8, 413/24, 11/4, 277/24, -39/4, -117/8, -27/4, 45/2, 23/2, 
  -27/8, 0, 0, 1, -3/2, -1/8, 19/24, -35/48, 1/2, -15/8, -3/8, 0, 0, 0, 0, 0, 
  0, -1/2, 0, 0, 0, 0, 1/8, 5/4, 11/2, 0, -1/4, -85/24, 0, 5/3, 0, -1/4, 
  -245/24, -7/24, 499/16, 14309/288, 11/24, 95/16, -155/72, -1/4, 65/48, 
  1/54, -681/16, 47/216, 16/9, -53/48, -73/108, -103/8, -415/24, -13/2, 
  241/24, 115/18, 133/108, 293/8, 123/4, -59/4, -201/8, 0, -13/20, -5/6, 
  13/20, 5/6, 1/4, 23/12, 1/4, -1/3, -17/48, -11/12, -19/48, -179/72, 77/240, 
  29/144, -1/8, 7/5, 10, -25/8, -3/16, 11/4, -155/48, -709/60, 245/48, 63/16, 
  143/8, 31/8, -57/4, -361/24, -3, 1/8, -7/2, -11/2, 3/8, 5, 11/2, -1/2, 5/2, 
  1/4, -3/4, 65/8, 47/8, 301/48, 41/12, -53/48, 47/24, -11/4, -347/48, -4/3, 
  -3/4, 13, 27/2, 14, -35/4, -145/24, -17, -17, 187/24, -3/8, -165/8, 9/2, 
  1/8, 35/6, 649/48, -91/16, -537/32, -641/48, 439/16, 2407/48, 117/8, 
  -317/48, -427/36, 889/48, 1601/144, -259/6, 307/48, -275/24, 157/16, 
  569/32, -21/2, -519/16, -873/32, 87/4, -635/48, 209/48, 31/16, 23/12, 
  -159/16, 123/4, -385/16, 109/12, -81/4, 0, -3/2, 0, 3/2, 0, -1/4, 1453/240, 
  15/2, 1/12, -58/15, -7/12, -7/48, -15/2, 73/120, 49/144, 0, 4, 21/2, 0, 
  13/4, 1, -5/2, -123/4, 5/2, 81/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, -4, 0, 1, 6, -1, 4/3, 
  0, 1/3, 0, 0, 0, -4, -6, -2, 0, -32, 4, 24, 0, 0, 0, 5, 1, 0, 3/4, -5/4, 8, 
  3/2, 0, 0, 3/2, -4, 8, -1, 0, 0, -16, 2, -6, -16, 0, 0, 0, 9, 0, 13/2, 9/4, 
  -14/3, 31/6, 7/4, -43/12, -385/8, 45/8, 969/8, 35/4, 0, 0, 0, 0, 0, 0, -60, 
  317/4, 47/12, -179/6, 45, 3, 137/4, 335/12, 0, -1/2, 0, 1, 399/8, 5/3, 
  -391/8, 0, 0, 0, -359/2, 0, 0, 359/2, -45/2, 135/4, 161/6, -63, -233/20, 0, 
  1103/12, 3, 2, -17/12, 0, -157/20, 0, -2543/40, 2163/40, -7059/40, -103/40, 
  7059/40, 3937/20, 1619/24, 0, 157/40, 0, 7457/40, -407/8, 0, -1, 0, 5/4, 0, 
  0, 0, 16/3, -2, 0, 0, 0, 0, 0, -1, 15/2, -5/3, -7/4, 0, 0, 237/8, 133/8, 
  -121/8, 0, 85/4, 145/12, 0, -85/4, 0, 0, 4, 12, -22, 1, 2, 0, 0, 0, 0, -2, 
  -1/2, 23/2, 1361/24, -3765/32, -641/48, 1, 1/6, -11/12, 0, 0, -5/4, 1, 9/2, 
  0, 43/12, 0, 0, 0, -31/12, 0, 0, -37/12, 0, 15, 0, 0, 5, 1199/24, -2021/48, 
  -2417/16, -5125/96, 1603/48, -2/3, -427/12, -125/4, 1/4, -25/12, 160/3, 
  1829/48, -461/16, -1335/16, 733/24, 0, 370/3, 0, 1/2, -11/6, 0, 145/6, 
  -1/2, 23, -117/8, 52, -143/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2/3, -21/4, 
  11/4, 35/6, 37/2, 0, 0, -5/4, -2/3, 19/4, -21/4, 0, 0, 3/2, 5/4, 1/2, 4, 
  13/6, 3/2, 11/8, -1, 13/3, -12, 0, 0, 2563/6, -1969/12, 199/12, -3053/16, 
  2563/12, -1921/24, 199/24, -3069/16, 13447/48, 9391/24, -1105/48, 
  -13337/48, -12277/48, 1949/24, 9199/24, -1033/48, -13165/48, -11525/24, 0, 
  1, 0, 0, 1, 0, 11385/16, 2617/4, -1/2, 2285/4, 10845/16, 159/2, -343/6, 
  3021/4, 1131/40, -113/20, -369/10, 0, -4359/40, 27, 3469/40, 3877/40, -7/6, 
  23/16, 603/8, 27/16, 23/4, -57/4, 16/3, -507/32, 1655/72, -35/12, -43/3, 
  -641/8, 1193/72, 131/6, -45/8, 0, -77/6, 43/12, -49/8, -599/72, 145/24, 
  1/2, -5/3, -7/12, 5/12, 323/120, 1/36, -19/20, -117/4, 0, -19/9, -123/8, 0, 
  265/48, 0, 19/9, -31/2, 79/6, 135/8, -41/4, -1/4, -33, 10, 59/4, 37/12, 
  -509/24, 11/8, -33/4, 931/24, -295/72, 6, 125/12, 305/24, -35/4, 1/4, 
  -29/2, -11/4, -145/16, -1537/16, 1201/16, -1, 65/6, -1045/48, 7/12, 21/16, 
  467/8, -739/16, 1045/48, -231/8, 0, -115, -341/2, -1/4, 583/12, 5/4, 1/4, 
  465/4, -50/3, -19/12, 115, 682/3, -109/6, -251/2, -341/6, 15/4, 3/2, 
  -273/8, -125/4, 267/8, -55/12, 25/8, 275/8, 20/3, 0, 161/4, -253/6, 0, 
  -109/8, -1369/18, -281/12, 1369/18, 865/24, 2173/72, 6, 241/72, 13/18, 
  719/18, -171/2, -2035/24, 107/72, 409/8, 1, 212/5, -13, -17/6, -212/5, 
  11/6, -471/40, -343/20, 7257/80, 1979/360, -497/8, -25/4, 585/16, 847/12, 
  9/8, 39/16, -11/8, -9, 11/8, 169/16, -41/8, 7/8, 34/3, 51/16, 85/4, -85/4, 
  -79/4, 11/16, -7/12, -151/8, 0, 9, 0, -18, 0, -9, 0, 1/6, -37/24, 35/48, 
  -85/72, 11/6, 3/2, -821/144, 469/24, 35/16, -83/24, 0, -211/12, 293/12, 
  -23/2, -3707/36, 45/4, -323/8, -15/2, -1/2, 8/3, -43/24, -133/24, -31/60, 
  373/72, -45/4, 499/72, 67/4, -199/16, -2237/36, -109/8, 43/2, 1121/48, 
  6277/144, -35/3, -1721/36, -1037/24, 2657/48, 3211/72, 473/24, -5/24, 
  871/96, -87/8, -127/24, -329/32, 28/3, 193/24, -715/48, -81/32, 361/24, 0, 
  73/12, -569/12, 73/6, 3041/36, -21, 167/8, 1099/16, 163/24, -139/8, -1/2, 
  -4/3, 31/12, 1/12, -103/120, -199/36, 159/20, 47/40, -25/2, 51/2, -31/8, 
  -625/48, 151/16, 12, 217/24, -23/3, 241/48, 135/2, -873/16, -2119/32, 0, 
  -337/24, 205/24, -91/8, -2485/36, 269/24, -1085/24, -709/48, 1/4, 
  -2681/480, 135/16, -5/2, 2153/80, 29/8, -79/24, 10561/960, 293/48, 9/4, 
  13273/480, 105/2, -167/8, -9407/320, 2057/48, 5/24, 47/6, 305/32, 187/12, 
  1383/32, -227/16, -65/24, -5293/192, -5933/192, 65/24, -293/4, -3823/96, 
  7463/96, 5009/48, 89/24, -1, -307/8, -371/8, -125/32, -977/32, -33/2, 
  263/12, 985/24, 6401/96, -62/3, 379/32, 93/16, 221/96, -1283/96, 997/96, 
  3/4, -11/4, 1/4, 5/3, 257/48, -17/12, -19/20, -117/4, -2, 569/24, 1/12, 2, 
  -545/24, -11/18, 0, 11/12, 443/24, 0, 1, -17/24, -13/8, -35/3, 1/3, -7/4, 
  -1, -303/16, -5/24, 93/8, 15/16, -11/3, 15/4, 13/24, -659/48, -59/12, 
  287/16, 131/8, -4/3, -347/16, 11/2, -1/8, 641/36, 3793/72, 229/8, 1283/36, 
  -27/4, 1693/72, -269/9, -544/9, -751/36, -273/16, 3907/96, 91/3, 277/24, 
  259/8, -2965/24, 187/16, -1729/144, 725/4, 163/12, -8513/48, 263/96, 
  1437/8, 3071/48, -135/4, -1, 111/8, 2819/24, 13/3, 218/15, -16/3, -538/15, 
  -9617/60, -451/30, 17467/360, -51/8, -1717/8, -157/24, 373/3, 314/3, 3/4, 
  -23/5, 19/16, -19/8, 21/10, 1/4, 87/80, 827/240, -467/120, -1231/120, 1/2, 
  -383/15, -70/3, -361/24, -249/80, -239/24, -65/4, -997/18, -907/20, 961/36, 
  13, 1141/48, -1331/48, -215/16, -423/8, 199/32, -403/24, 2641/72, 155/3, 
  -251/12, 759/8, -3731/96, 5/6, 4573/24, 33659/48, 8075/24, -6847/72, 
  2411/144, -2269/36, -415/72, 1067/4, 1257/16, -79/24, -18395/72, 103/2, 
  -1/2, 291/40, 219/4, -5/6, -3479/80, 23/6, 2887/240, -941/20, 533/20, 
  -7469/720, 1677/40, 29/4, 63/8, -1891/120, -124, 11/8, 6757/90, 2377/72, 
  -2395/48, -18323/160, 727/48, -577/60, 37213/360, 5767/24, 1717/360, 29/4, 
  -367/12, 257/4, -6703/40, 747/4, -423/4, -4, -5/4, 0, -1267/8, -5683/16, 0, 
  0, 118, 5299/24, -189/2, 6473/40, -143/4, -2, -359/8, 3031/96, -301/3, 
  -117/16, 927/40, 529/40, -12081/80, -3503/96, -1217/8, -9161/96, -3757/96, 
  12659/192, 555/8, -1359/8, -5825/24, 17707/120, 833/4, -1637/24, -139/8, 
  -119/4, 20/3, 21, 133/3, 341/8, -3399/16, 197/2, 3541/48, -557/8, 
  -49231/48, 6259/24, 11563/48, 3309/8, 2, 18445/48, -2763/80, -467/8, 
  -439/80, 1197/8, 40229/480, -1663/48, -54769/480, -2397/32, -7967/48, 
  87431/96, 2725/12, -1657/48, -1675/4, -57/40, -1401/16, 137/4, -351/8, 
  -1631/24, -3613/24, 7467/80, 42511/240, 1273/12, -427/20, -149/8, 153/5, 
  797/12, 1025/4, -28/3, -361/6, -5527/48, -769/8, 501/16, 20239/48, 
  110437/96, 5697/16, -9099/32, -4009/24, -39/8, 6021/80, -2673/40, -6673/80, 
  -2405/8, -44843/48, -18713/48, -727/4, -1589/16, -5857/80, -103/60, 317/48, 
  -107/16, -709/3, -36687/32, 22751/240, 259133/320, -18009/16, 8159/16, 
  -33393/80, -99047/160, -497219/160, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/2, 
  0, -1/4, 3/4, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/4, 3/4, 0, -1/4, 1/4, 
  0, 0, 0, 0, 0, 1/4, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, -5/8, 0, 
  1/4, 1/4, 0, 0, -1/4, 1, -1/2, -3/8, 0, 1/2, -1/4, 0, 0, -1/2, -1/2, 1/4, 
  1/2, 1/4, -1/2, 0, -1, 1/4, 1, 0, 0, 0, -1/2, 1/2, 0, 0, -1/4, 0, 0, -1/2, 
  -3/2, 1/4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/8, 3/4, 1/8, 
  -5/8, 1/2, -7/8, 0, 0, 0, 1/4, -1/2, 0, 0, 0, 1/4, -3/8, 0, 0, 0, 0, 0, 
  -5/4, -3/4, 1, -3/8, 7/24, 1, 23/24, -5/8, 19/8, 0, 3/8, -47/24, 0, 0, 1/8, 
  0, 9/16, -1/4, 0, -1/4, 0, 1/8, 0, 0, 0, 5/8, 0, 3/4, -3/2, 1/8, -9/16, 
  3/16, 5/48, -11/24, 5/48, -13/16, -23/48, -5/48, -5/48, 0, -25/16, 0, 
  -17/16, 9/8, -3/16, -5/48, 67/48, 77/48, 5/48, 15/16, 0, 0, -15/16, 0, 5/4, 
  -1/4, -5/4, -1/8, -5/8, 3/8, -5/24, -2/3, -11/12, -1/2, 7/12, 0, 17/24, 
  7/12, 5/24, 15/8, -5/4, 0, -7/4, 9/4, -3/8, -7/6, 67/24, 23/24, -13/12, 
  15/8, 0, 0, -15/8, 0, 5/4, 0, -1, 1/2, -1, -11/12, 0, -1/6, 0, 0, 17/24, 
  11/12, 5/24, 0, -5/4, 0, 1/2, -1/4, 67/24, 7/6, -17/12, 0, -15/8, 5/8, 0, 
  -1/2, 1/4, 0, -11/24, 0, -7/12, -1/8, 1/8, -9/16, 3/16, -5/48, 5/48, 1/12, 
  5/48, 0, -5/8, 0, 1/4, 67/48, -23/48, 7/8, -3/16, 1/12, 0, 0, -1/2, -3/2, 
  0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
  -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, -1, 3, 
  0, 0, 1/2, 1, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, -5, -5, 0, 0, 0, 0, 0, -1, 
  -1/2, -1, -2, 0, 0, 0, 0, 4, 0, 0, 0, -1/8, -1/8, 1/4, 0, 0, 0, 0, -1/4, 
  3/4, -3/2, -1/2, 0, 0, 0, 0, 0, 0, -1, 0, 3/4, -3/4, -7/4, 1/2, 0, 0, 0, 0, 
  5/4, 0, 0, 0, -3/4, 0, -1/4, 3/4, 3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, -1/8, 0, 1/8, 0, -1/8, 0, 0, 0, 
  3/4, -1/2, -2, 0, 0, 0, 0, 0, 0, 0, -7/2, -1/4, 0, 3/4, 0, -13/4, 0, 3/2, 
  1/4, 0, 0, 0, 0, 2, -3, 1/2, 2, -5, 1, -1/2, -2, 2, 4, -1, -1/2, 0, 5/4, 1, 
  -2, 1/4, 0, 3/4, 0, 3, -1/4, -1, -1, 0, 0, -1, 0, 0, -1/2, 4, 3/4, -3/4, 
  -3/4, 6, 0, 0, 0, -3/2, 3/2, 0, 3/4, -1/2, -6, 1/4, -1/4, 1/4, -1/2, -3/4, 
  0, 0, 5/4, -9/4, 0, 0, 0, 0, 0, 0, 0, -25/8, 13/8, 9/2, -13/8, -9/4, 7/2, 
  9/4, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 0, -3/2, -5/4, 9/4, 0, 
  0, 0, 3/4, -5/4, -1/2, 0, -5/4, -2, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 3/4, -2, -2, 0, 0, 0, 6, 9/2, -1, -7, 3, 9/2, 2, -7, -2, -1, 21/4, 
  -1, 3/4, 2, -3, -17/4, 1, 1/4, -3, 4, 4, 7, -5/2, 3, -2, -9/2, -7, 5/2, 
  1/4, 0, 1, -5/2, 5/4, 0, 35/4, -35/4, 1/4, 7, -3/2, 10, -1/2, -7, 0, -13/4, 
  13/4, 13/8, 9/2, -1/2, -9/4, -17/4, 0, 0, 0, 0, -1/4, -1/2, -1/4, 1, 0, 
  -1/4, 7/4, 0, -1/2, -11/4, 1, -1/2, -1/2, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -3/4, 1/12, -1/4, 0, 0, 0, 0, 1/4, 0, -1/4, -1/4, 0, 1/6, 1/6, 
  1/2, 0, -1/2, 1/4, 0, 0, 0, -1/6, 1/2, -1/4, 1/6, 0, 0, 0, 3/4, 0, -1/2, 0, 
  0, -2, -3/4, 1/2, 2, 0, -3/4, -1/4, -5/8, 0, -1/4, 1/4, 0, -1/12, -15/4, 1, 
  28/9, 21/8, 0, 1/2, 0, -3/4, 0, -1/2, 0, -1/2, -1/2, -7/18, 1/2, 0, -3, 
  27/8, 0, -3/2, 0, 5/8, 7/2, -5, -10, 0, 1/2, 0, 0, -3/4, 0, -11, -31/4, 
  -7/4, -19/2, -33/4, -1/8, -3/8, 0, 9/4, 6, -3/4, 0, -3/4, -29/8, 0, 3/8, 0, 
  -11/8, -55/8, -3/4, 11/8, 3/4, -3/8, 53/8, 23/4, 7/8, 11/2, 53/8, -35/8, 
  -33/8, 3/8, 0, -55/8, 0, 0, 31/4, -3/8, 1/4, 0, 87/8, -9/8, -35/8, -31/8, 
  -15/4, 11/4, -11/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/4, -1/16, 1, 
  23/8, 0, -13/16, 13/16, -43/8, -9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 3/4, 5/8, -9/8, -11/8, 0, 0, 0, 0, 0, 3/8, -3/4, -1, -57/8, 9/4, 
  0, 0, -1, -3/4, 3/8, -3/4, 1/2, 1/4, 15/8, 3/4, 51/8, 5/8, -3/4, 3/8, 5/8, 
  -3/2, 5/4, 15/8, 0, 0, 1/2, -1/4, 0, 0, -1/2, 0, 0, 0, 0, 9/4, 3/4, -9/8, 
  -3/2, 0, 0, 0, -5/4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, 0, 1/6, 0, 0, 
  0, 0, 1/2, 1/6, 0, -1/3, 0, -1/6, 0, 0, 0, 0, 0, 1/3, 0, 0, -1/6, 0, 0, 0, 
  1/4, -1/2, 0, 0, 1/4, 0, 0, -2/3, 3/2, -7/12, 1/6, -7/2, -11/2, -17/12, 
  -25/12, 0, 9/2, 17/6, 7/2, 13/2, -3/4, -169/36, -1, 5/8, -7/4, -5/8, 0, 
  1/4, 3, -11/8, 9/4, 1/12, -1/6, 11/2, 17/12, 17/6, 5/8, -11/2, -17/6, 
  -10/3, -12, -7/4, 145/18, 43/8, 0, 17/6, 23/4, 3, 17/6, -11/8, -13/4, 
  -17/6, -1/12, -17/6, -17/2, 41/9, 3, 0, 1/4, 1, -1/2, 1/2, 1/2, -1, -1/4, 
  -1/2, -49/12, -5, -3/2, 29/9, 4, 5/2, 11/4, 1, -1/2, -21/8, -7/2, -7/4, 3, 
  -3, 5/4, -7/8, 5/8, -5, -1/8, -3/2, -13/4, 1, -2, 1, -1/8, -1/2, 23/4, 
  15/2, 17, 7/4, 0, -9/2, -9/8, -2, -5/4, 3/2, 3/2, -1/2, 2, 2, -1, 5/2, 
  -7/2, 3/4, -9/4, 19/4, 7/8, 3/2, 7/2, -1, 2, -3/2, 5/8, -3/2, -27/4, -13/2, 
  -23/2, -11/4, 3/4, -3/4, 35/4, 3/4, 0, -11/4, 0, 5/2, 0, 1, -11/4, -19/2, 
  13/4, -1/4, 5/4, 3/2, -5/8, 3/4, 13/4, -47/8, -1/8, 1/2, 1/8, 17/2, 11/4, 
  0, 9/4, -13, -55/4, 3, 13, -21/4, -15/8, 21/4, -35/8, -7/8, 25/4, -41/4, 
  -21/2, -3/2, 3/4, 1/8, -55/4, 1/4, 0, -3/8, 27/4, 39/8, -77/4, -3/2, -3/2, 
  25/8, 29/4, 7/4, -95/8, 11/2, 3/2, -63/8, 25/8, 0, -1/4, 69/8, 15/4, -5/4, 
  -3/4, 0, 31/4, 0, 1, 3/4, 3/2, -67/8, 47/4, 0, 15/2, 7/8, -27/4, -33/8, 
  -15/8, 1/8, -17/8, -55/4, 0, 17/8, -1/8, -1, 115/8, 6, 9/8, -9/4, 69/4, 
  -21/4, -49/8, -23/8, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 105/8, -135/8, -83/4, 
  7/2, 0, 0, -95/4, 105/8, -33/8, -83/4, -37/4, 0, -27/8, 13/16, -119/16, 
  -19/4, 0, 17/8, 17/16, 0, 0, 0, -27/8, 13/8, 47/16, -17/8, 0, 17/8, -45/16, 
  0, -13/16, 17/8, 49/8, 31/8, -35/4, 0, 0, 0, 67/16, -5/4, -11/8, -35/8, 
  11/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 4, 1/4, -5/4, 0, 0, 0, 0, 0, 0, 0, 
  2, 1/8, 7/4, 1/8, 0, -1/2, -5/8, 0, -1/8, -1/2, -5/8, 3/4, 0, 0, 1/8, 5/4, 
  5/8, -3/4, -3/4, 0, 0, 0, 0, 0, 1/8, 1/2, 13/8, 0, -4, -1/4, 3/4, -1/4, 
  -3/4, -3/2, 3/8, -9/4, 9/4, 1/2, 1/2, -7/8, -1/2, 0, 0, 1/2, 1/2, 2, 3/2, 
  11/4, 7/2, -3/2, -1, -3/4, -7/4, 0, 0, 0, 33/8, 0, 0, 11/4, -33/8, -3/2, 
  -1/8, -1/4, 1/4, -1/2, 3/4, 1/2, 7/6, -3/4, -13/8, 3/8, -2, -3/2, -3/4, 
  53/12, 9/4, 0, 0, 0, -5/4, 0, 3/4, -5/8, -5/48, 11/12, 0, 1/3, 5/24, 5/48, 
  0, 35/16, 0, 7/12, -1/2, 5/48, -67/24, -73/48, -5/48, -15/16, 0, 15/16, 
  5/2, -3/2, -3/2, 3/2, 9/4, -5/2, -3/4, -1/4, -1/8, -113/4, -3/2, 221/8, 
  -13/24, 14, -1, -3/2, -3/2, -3/4, 31/8, 33/16, -3/4, -1/8, -19/8, -1/8, 
  7/4, 3/2, -3/2, 11/24, -13/24, 337/24, 0, 0, -5/8, -3/4, -1/2, 115/48, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, -6, 0, -3/4, 0, 0, 
  -1/4, -8, 3/2, 107/8, 0, 3/4, 0, 3/4, 0, 0, 1/4, 1/4, 17/2, 0, -3/4, 0, 0, 
  0, 0, 1/4, 8, -3/4, 0, -61/8, 3/4, 1/2, 1, 3, -5/8, 9/8, -1/8, -11/4, 
  143/12, 249/8, 5/4, 2, -1375/48, -1/8, 25/8, 5/3, -5/8, 1105/12, -89/48, 
  -235/3, 1/4, -27/8, 0, 37/18, 0, 0, -3, -1, 0, -37/12, 5, -1/4, 15/8, -3/8, 
  -5/48, 3/4, -5/24, 7/8, 3/8, 1/12, 5/48, 0, 197/48, -21/8, 37/24, -9/4, 
  3/8, 5/48, -11/8, -31/16, -5/48, -53/48, 27/8, 0, 65/144, 0, 3/4, -1/4, 
  -1/2, -1, -1/4, 9/2, 3/8, -1/2, -1/4, -3/4, 11/4, -97/8, -785/24, 3/8, 
  -15/8, 689/24, 0, 11/8, -23/4, 37/24, -61/24, 1, -1/48, -2261/24, -25/12, 
  3785/48, -89/48, 27/4, 0, -53/48, 0, 0, 1/2, -1/2, -3/4, 37/8, -1/2, 1/8, 
  1/24, 11/4, 5/4, -197/6, 1/2, -11/24, -15/8, 343/12, 0, -1, -27/4, -1/4, 
  -13/24, 3/8, 277/6, -2263/24, -37/12, 3781/48, -11/8, 27/4, -3/8, -73/48, 
  0, 0, 0, 3/4, 7/2, -7/2, -29/8, 11/8, -3, -15/2, 0, -17/4, -75/4, 0, -3/2, 
  25/8, -3/4, 71/16, -31/8, 1/8, -31/16, 7/2, -109/8, 7/2, -169/8, -17/4, 5, 
  -8, -99/4, -12, 5/4, -1/8, 25/8, -47/8, 23/16, -47/16, 3/2, -3/2, -109/8, 
  7/2, -5, 3/2, -2, -8, -19/4, -12, -3/2, 19/8, -73/16, -2/3, -515/24, 77/4, 
  0, 51/4, 689/24, -25/4, 0, -1/4, -1/8, 3/8, -1/12, -13/8, -73/24, -1/6, 
  137/24, 1/4, -77/24, 19/3, -3/8, 73/12, -1/2, -1/4, 29/16, -3/8, -35/16, 0, 
  7/32, 1/4, 0, 47/32, 19/32, -1/4, -77/32, -3/8, -403/96, -13/24, 17/12, 
  -739/96, 85/24, 1/12, -1/8, -3/4, -569/48, -187/16, 1/12, 99/8, 3/8, 0, 
  263/24, -11/3, 1/4, 21/4, 3/8, -1/4, 0, 0, 1/8, 29/32, 0, 61/32, -29/32, 0, 
  -65/32, 1/8, 851/96, 3/8, -1/4, -635/96, 1/8, -3/8, -1/12, 11/2, 1/4, 
  -59/12, 3/4, -159/16, 145/24, 11, 173/24, 9, -13/6, -11/12, 17/16, 21/4, 0, 
  -23/16, 0, 0, 29/32, 57/32, -29/32, -57/32, 1/8, 839/96, 3/8, -3/8, 
  -623/96, 3/8, -3/8, -1/12, 45/8, 1/4, 0, 29/16, -163/16, -9/8, 17/2, 0, 
  7/24, 9, -3, -5/12, -71/24, 7, 0, 31/48, 0, 3/2, -123/8, -1/8, -17/4, 93/4, 
  1/8, -63/8, 0, 0, 0, 0, 0, 0, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17/4, 5/8, 
  69/2, 123/16, -51/8, -133/48, -269/24, 23/4, -61/32, -33/16, -93/4, 209/32, 
  15, 0, 0, 0, -13/16, 83/8, 5/8, 9/16, 49/2, 3/8, -13/6, -133/48, -545/48, 
  23/4, -487/32, -67/16, -12, 641/96, 177/16, 1/8, 5/8, 17/8, 0, -1/4, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 3/4, -15/4, -15/8, 5/2, 
  49/12, -25/24, -25/8, -25/16, -3/2, 27/4, -1/16, -21/8, 0, 0, 0, 0, 0, 0, 
  0, 0, 4, 0, -21/8, 0, 0, 0, -4, 5/4, 0, -9/4, 1/2, 1, -1/2, 0, -13/6, 
  -143/48, 5/3, 119/48, -5/24, 11/12, 51/16, 5/24, -5/4, 0, 7/4, 0, -1/2, 
  97/24, 0, -79/24, -67/24, 0, 0, 0, -1, 0, -131/32, 5/4, -41/32, 55/32, 
  41/32, 3/2, 11/12, -383/96, 205/48, 137/32, 5/24, 7/24, 0, 3/4, 0, 0, 
  -35/12, -3/4, 0, 0, 3/8, -1/8, -1/4, 1/4, 0, 25/32, 57/32, 219/32, -57/32, 
  19/24, 0, 431/96, 5/8, -839/96, -2/3, 1/6, -7/4, -9/4, 7/4, -11/4, -1/2, 
  103/24, 9/4, -151/24, -13/6, 3/8, 3/2, -3/8, 0, 0, 1/4, 0, 0, -1/4, 0, 
  -5/4, 0, 1, -1/2, 5/4, 5/3, 17/16, -11/12, 5/4, 0, -1/2, -11/12, 0, -5/4, 
  0, 9/4, -1/2, -1, 1/2, 0, 11/12, -1/8, -59/24, -25/24, 7/4, 13/12, -1, 
  5/24, 11/24, 1/6, 359/24, 5/24, 5/4, 0, 0, -7/4, 0, 1/2, -67/24, -7/8, 
  49/24, 5/12, 47/48, 0, 0, -15/8, 0, -67/32, 1/8, -41/32, -135/32, 49/32, 
  -311/96, -5/8, 0, 1217/96, 0, 1/12, 0, -5/8, 0, -1/8, -3/16, 0, 11/24, 
  -5/48, -5/48, 5/48, 0, 0, 5/8, 0, 23/48, 3/16, 0, -67/48, -1/12, 0, 0, 0, 
  0, 0, 0, 3/4, -1/2, -5/4, 3/4, -3/4, 1/4, -15/16, -1/8, -1/3, 5/24, 0, 
  -105/8, 9/8, -1/4, 41/24, -3/8, 11/24, -5/24, -3/8, -5/24, 0, 0, 9/8, 
  -15/8, 1/4, -89/24, -13/8, 1/4, 31/16, -3/16, 5/24, -2219/48, 35/24, 17/16, 
  23/48, -31/16, 0, -35/48, -13/16, -1/12, -15/8, 79/16, 0, 11/16, -3, 3/16, 
  17/16, -67/48, 121/48, 19/16, -15/16, 0, 0, 15/16, 5/8, -1/16, -27/8, 
  133/32, 3, -41/16, 113/32, -5/2, 0, 3/8, -3/8, 17/8, 203/96, -101/8, -1/2, 
  -1031/96, -31/32, 0, -17/8, -13/8, -161/24, -73/16, 0, -93/8, -7/8, -3/8, 
  -15/8, 1, 45/16, 43/8, -181/32, -53/16, -3/16, 7/3, 41/48, 9/2, -1357/48, 
  -709/48, 629/96, 169/24, -667/48, 1549/48, -547/24, -23/16, 15/8, 0, 
  263/24, 3/8, 3/16, 767/48, -17/16, -1025/48, -977/24, -5, 0, 0, 105/8, 0, 
  1/4, 1/4, -1/8, 7/8, -1/4, -5/16, -9/8, 7/16, -5/48, -1/3, 0, 1/4, 11/24, 
  -1/8, 7/24, -3/16, 0, -5/48, -5/24, -5/48, 0, 0, -197/48, -8, 0, 335/48, 
  9/8, 1/8, -1/4, 3/16, 0, 103/24, -5/24, 1/3, 115/48, 7/8, -5/24, 5/16, 
  25/48, 5/24, 11/12, 37/8, 0, -17/16, 9/8, -3/16, 1/16, -17/48, 59/48, 
  -65/48, 15/16, 0, 0, -15/16, 0, -5/8, 13/8, 1/8, 131/16, -2, 1/16, 33/4, 
  -3/16, 5/48, -49/48, 11/24, -37/48, 91/12, 5/48, -21/16, -43/32, -3/16, 
  17/8, -77/16, 3/16, -61/96, 17/8, -281/24, 21/16, 1/8, 0, 63/16, 0, -5/8, 
  0, 1/2, -1/4, 0, 17/8, 11/24, -1/4, -17/12, -13/16, -5/48, -3/16, -19/16, 
  -5/48, 0, 5/8, 0, 0, -1/4, -1/2, -91/48, 89/48, 37/24, 0, 1/16, -5/8, 0, 
  9/8, -1/4, -1/2, 1/4, 0, 11/24, 0, -1/24, -1/3, 0, 35/48, -1/2, 5/48, 0, 
  5/48, 11/24, 5/48, -5/8, 0, 0, 1/8, 0, -1/2, 1/4, 0, 37/48, 193/48, -23/48, 
  -7/12, 5/24, -11/12, -37/6, -5/24, 5/4, 0, -1/2, 0, -97/24, 0, 31/16, 
  67/24, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, -2, 0, 0, 1, 0, 0, 1/2, 0, 0, 
  1/2, 0, 0, 1/6, 0, -11/12, 0, 0, -7/12, 11/12, 5/12, 0, 0, 5/6, -1/3, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, 0, 5/3, 0, 0, 2, 0, 0, -4, 0, 
  0, -29/6, 0, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 0, 1, 0, 2/3, 0, 0, -1, 2, 8/9, 
  0, 0, -8/9, 0, 0, 0, 0, -16/9, 0, -44/9, -1/4, 43/18, -1/2, 1/2, -2, 0, 0, 
  1, 2, 4, -2, 0, 0, 0, -5, -5, 0, 0, 0, 0, 0, -1, 0, -25/9, 0, 29/9, 0, 
  -7/9, 0, 2, 1, 16, 6, 0, -15, 0, 0, -226, 63, -229, -28, -8, 8, -16, -5/2, 
  29/2, 8, 15/2, 0, -1, 1/2, 3/2, -2, 0, 7/2, 0, -1, 31/5, 7/10, 3/10, -2, 
  1/6, -1/2, 20/3, -8, 1, -1, 4, 4, 0, 0, 0, 0, 3, 2, 1, 5, 7/12, -5/6, 0, 0, 
  0, 0, 8, 0, 0, 1, -17/4, -11/4, 0, -11/12, 0, -5/6, -11/12, -79/36, -1/3, 
  0, 2, 0, -91/36, 1/6, 4, 0, -2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 2, 3, -1, -1, -29/6, 0, 0, 0, 0, 0, 0, 0, 23/18, -9/4, 0, 
  2, 0, 2, -4, -2, 0, 2, 0, 6, 29/9, 0, 74/9, -19/4, 0, 0, 0, -4, 4, 2, 0, 0, 
  0, 47/9, 0, 38/9, 74/9, 1097/40, -19337/40, -541, 481, 26, 20, -14, 2, -5, 
  1, -23, 3, -1, 0, 1, -7, -7, -23/10, -51/10, 61/10, -79/10, 971/40, -231/8, 
  729/10, 429, 16, 12, -8, 10, -1, 0, 0, 4, -23/20, 69/20, -23/20, 17/10, -8, 
  -1, 4, 0, -3, 7/12, -1, 7/12, 6, 38/3, -8, -2, -7/2, 0, 3, 0, 7/12, 3, 0, 
  -15/2, 1/2, 8, 0, 2, 4, 0, 11/6, 0, 0, 0, 0, 0, 0, 0, 0, 73/18, -1/12, 
  1/12, 0, 1/3, 0, 0, 0, -1093/48, 1093/48, 0, 0, 0, -5/4, 5/4, 0, -1, 0, 0, 
  0, 3/8, 0, 0, 0, 1/2, 1/2, -1/2, -3/4, -2/3, 0, -1/4, 0, 0, -1/8, -3/2, 
  -3/2, 3/2, 0, 0, -3/2, -3/2, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 7/4, 1/4, -1, 
  -1/2, 0, 7/8, 2, 0, 0, -3, 17/24, -3/4, -3/4, 3/4, -1/2, -2/3, -31/12, 1/2, 
  -19/8, 0, 25/24, -1/4, 0, -41/24, 0, 0, 0, 0, 0, -9/8, 7/8, 0, 33/8, -13/8, 
  -107/24, 13/8, 9/4, 9/8, 0, 0, 0, 0, 0, 9/8, 5/4, -1/4, -61/24, 0, 0, 0, 
  -1/4, -123/16, 5/8, 81/16, -3/4, -3/4, 3/4, 0, 7/12, 3/2, -9/4, -7/8, 0, 
  2/3, 0, 0, -2/3, -3/4, 3/4, -3/4, -2/3, 0, 1/2, 1/4, -1, -23/12, -359/48, 
  359/48, 0, 1/2, 13/4, 0, 3/2, -3/8, -1, 5/12, -9/8, 2, 9/8, 3/4, 1/6, -3/8, 
  0, 0, 0, -1, -3/4, 2, 0, 0, 0, 0, 1/12, 19/9, -5/4, -13/36, -2/9, 0, 28/9, 
  0, -28/9, -28/9, 127/2, -1319/40, -4, -2, -3, -3/4, 19/2, -13/8, -13/4, 
  7/4, 2, 1, 0, 5/4, 17/4, 0, 0, 0, 49/20, -1/5, 5/6, 0, 409/48, -179/16, 
  3/2, -3/4, 0, 1, 0, 3/8, 3/4, -3/2, -1/12, 0, 0, 1/12, 53/8, 5/3, 0, 3/8, 
  3/8, 0, -2, 2, 0, -7/8, 5/8, 7/2, 0, 193/6, -355/48, 143/16, 1/2, 1/6, 
  -1/2, -3/4, 0, -1/4, -3/2, 53/12, 2/3, 61/24, -421/48, -1/4, 1057/96, 3/8, 
  0, 0, 0, 3/2, 0, 0, 0, 4978/9, -494/3, -551/2, -551/2, 0, 0, 0, 0, 0, 
  -73/18, 9/4, 1/12, -1/12, -1/2, 0, 1, -1, -1/4, 0, 0, -1/4, -9/4, 0, 0, 0, 
  0, 0, -1729/3, -4408/9, 9994/9, -1729/3, 0, 7619/18, 0, -1/8, 0, 1058, 0, 
  0, 1/4, 9567/16, 3377/144, -3/4, 3/4, -37/9, 46/9, 37/2, -37/2, 185/36, 
  659/36, 5/6, -103/16, -313/48, 71/4, 55/8, -1155/16, -1619/144, 13/4, 
  -13/4, -3/2, -1/3, 443/96, -1261/96, 1261/96, 13/8, 277/96, -9/4, 7/4, 
  -9/4, 0, 9/4, 0, -1, 0, 1/8, 0, 5/4, -5/4, -3/8, 0, -1/8, 0, 0, 0, 0, -1/4, 
  1391/216, 95/48, -493/108, 3/8, -3/8, -3/8, 0, 0, 0, 0, 0, 5, 11/6, 5/8, 
  131/24, 9/4, 9/4, -9/4, 17/12, 20/3, 1/2, 22/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 3/4, 9/4, 9/4, -9/4, 3/4, -35/12, 3/4, 25/12, 0, 0, 0, 0, 
  0, 0, -5/8, 0, 1, 0, 213/440, 0, -333/440, 0, -3/4, 1/2, 2, 0, 0, 0, 0, 0, 
  -4, -1069/220, 1, 647/110, 2, -11/2, 1, 3/2, -2, -13/40, -11/40, 2, -51/20, 
  0, 53/80, 1/2, 2, 5/2, 0, 1/2, 7/2, -3, 5/2, 2, -3/2, -4, -1, -1, -3, 9/2, 
  39/8, 7, -239/80, -1/2, -217/24, -29/3, -9/8, -51/8, 9/4, -325/48, -13/8, 
  -113/24, -1/12, -5/4, -49/6, -1, -29/12, -1/6, -1/4, 0, -1/2, 17/12, -2, 
  7/8, -295/24, 1/2, -89/24, 0, 0, -1/4, 5/4, 0, -41/24, 13/24, 0, 3/4, -1, 
  0, 1/4, 0, 3/4, -1/2, 0, -1/4, -13/8, -67/12, -19/6, 9/4, 131/12, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/3, 0, 0, 1/3, 0, 0, 0, 0, 1/4, 7/8, 1/4, -1, -25/24, 0, 
  -5/3, -3/4, 23/12, 85/24, -91/12, 7/6, -3/4, -1/2, 23/12, -3/4, 103/12, 0, 
  0, 0, 3/2, 0, 0, 5/2, 7/8, -9/4, -2, 283/24, 277/24, -283/24, -17/4, -5, 0, 
  5, 19/6, -283/48, 1873/24, 20/3, 703/24, -455/32, 7, 9/2, -11/4, -7/2, 
  13/3, -145/36, 641/48, -15/4, -46/9, 0, 0, 0, 0, 0, -35/36, 263/36, 35/36, 
  0, -29/9, 0, 68/9, 29/9, -2083/9, 135/8, 0, 757/24, -22463/72, -787/24, 
  1/2, -19165/72, -211/24, -487/48, -667/48, 307/48, -47639/144, -391/24, 
  -30469/72, -1, 635/4, 47/12, 5, 15/2, -319/48, 1705/24, 28/3, 23/4, 6, 0, 
  -49/6, -67/12, 9/2, -7/4, 7/2, -17/12, 59/12, -55/8, 1367/96, 2/3, 23/12, 
  -439/24, 0, 1381/96, 1/6, 37/96, -439/24, -671/96, 1381/96, 229/32, -13/4, 
  -3, 11/2, 3, -31/9, -39/4, 257/48, 11/2, 47/12, -181/36, -1/8, 7/2, 5, 
  -1/4, -14/3, 0, 0, 0, 0, 0, 3/8, 0, -23/6, -5/2, 10/3, 5/2, -3/4, 0, 0, 0, 
  0, 0, -1/4, 7/4, -1/4, -1/4, -9/2, 0, -103/18, -2, 103/18, 103/18, 241/36, 
  -7/2, -8495/36, 1541/72, 0, 3833/72, -1/2, -24625/72, -3851/72, 47/12, 
  22/3, 3/4, -4349/18, 967/72, 0, 483/8, 3/2, -24995/72, -493/8, 85/12, 
  121/18, 7, -17/36, -197/6, -19/2, -11/4, 37/2, -43/2, -25/2, -2, 11/4, 
  -45/2, 1/4, 19/2, 27/4, -3/4, 5/2, 33/4, -73/4, -1/4, -1/4, 13/2, -61/16, 
  13/20, -3/4, -5069/30, -266107/720, -30073/120, -1519/10, 25033/120, 
  3367/12, 28211/30, -110201/60, -67/12, -5701/72, -410213/360, -32827/120, 
  7187/20, -5111/8, 199931/720, -7/4, 53721/40, -3049/60, -171/2, 1841/30, 
  911/4, -15997/15, -790/3, 3095/8, -216773/720, -38, 19, -10, -2, -19/2, 
  171/4, 5, -175/4, -13, -19/2, 83/2, 5, -71/2, 37, 12, -103/8, -93/4, 18, 
  -89/4, 22, 199/8, -75/4, -99/4, 67/8, -4, -19/4, 45/4, -17/4, 0, -1, 25/4, 
  0, -257/16, 1, -1/2, 245/16, 0, 0, 0, -9/2, -141/16, -15/2, 31/2, 169/16, 
  1/4, 29/4, 5/4, -13, -8, 1/4, 57/16, -3/4, 9/2, 5/4, -13, -129/10, 8, 77/4, 
  -117/10, 121/20, 283/20, 34/5, -151/40, 15/4, 507/20, -101/10, -521/20, 
  -983/40, -48/5, -167/5, 55/2, 37, 729/20, 279/20, 97/10, -333/20, -529/20, 
  -467/40, -19523/576, 39/4, 2, -39/4, -7/2, 7, 727/192, -7/3, 1/4, -1/4, -7, 
  109/8, -5/4, -43/6, -1/4, 3/4, 1/4, 141/8, -491/24, -165/8, -31/8, -275/24, 
  -41/6, 45/8, 0, -3/4, -7/8, 5/24, 37/4, 0, -14201/576, 7/6, 10, -305/288, 
  425/192, -2323/288, -17411/576, 2899/288, -17/6, 425/192, 449/48, 
  -17411/576, -203/16, 1, -33/4, 53/8, -1/2, -29/4, 19/8, -14153/576, -61/24, 
  -41/12, 83/12, 319/288, -2371/288, 2371/288, 3, -5/8, 5/8, 1, -5/8, -5/4, 
  -37/8, 0, -3/4, -9/8, -7/6, -7, 11/6, 8, -13/4, -1/2, 1/8, 1, 0, -5/8, 
  -1/4, 5/8, 3/4, 47/8, 0, 23/4, 19/4, 0, 83/4, -235/12, -83/4, -1/2, 
  -353/192, -7/4, -223/12, -67/12, 21/4, 0, -3/4, 223/24, -8351/72, 97/16, 
  29363/288, -485/64, -31559/288, -27185/288, -190/9, 1069/144, -1/2, 
  8275/96, 13/32, 2063/24, -257/32, -193/8, -901/48, 343/48, 2839/96, 
  2773/96, -901/48, -727/96, 2839/96, 617/32, 190/9, 3/4, 0, 17/8, -1/4, 1/2, 
  -11/8, -6, 15/8, 5/4, 3/2, -1177/144, -1, 3/4, -4, 5/2, 0, 0, 8827/96, 1/4, 
  357/32, -41/4, 649/8, -257/32, -1157/96, -421/48, 983/96, 1121/96, -211/32, 
  0, 0, 0, -3/4, 23/12, -3/8, 0, 1/2, 1, 11/4, -1, 0, 0, -1, 0, -2, 0, 0, 2, 
  -1/2, -15/8, 39/16, 5/2, 3/2, -5/2, -3/2, 0, -71/8, -551/72, -15/8, 3/4, 
  -3/4, 9/4, -13337/576, -359/12, -1, 2045/48, 0, 0, 0, -105/8, 63/4, 4, 
  13697/36, 3/8, 0, -33821/72, 0, 0, 3503/12, 13/4, 1739/6, -23/12, -2, 0, 
  1447/8, 4375/24, -1, -3503/12, -61/2, -99/4, -13153/72, 109/4, 1/2, 
  -499/48, 13/2, 499/48, -7, 339/16, 45/4, -989/144, -507/16, 278/9, -9/4, 
  -39/8, -1927/72, 9/8, 0, 703/24, -244/9, 0, -32117/48, 1/8, -189/8, -1/8, 
  -9/4, -237/8, -475/24, 511/8, 475/24, -137/4, 463/4, 233/16, -1193/12, 
  -1427/16, 1901/72, -9/4, 1/2, -911/48, -9/8, 1/4, -21/2, -1/4, 21/2, 0, 
  115/8, 227/16, -17/4, -1433/16, -29/8, -15/4, -11/2, -919/48, 3/8, 895/48, 
  -2221/48, -791/48, 11/96, -71/16, 1513/48, 0, 61081/1728, 169/96, 0, 
  2159/48, 25/16, -19201/216, 9/16, -5/2, -63781/1728, 12877/2592, 1/4, 
  39541/576, -9637/2592, -26557/864, -39215/1728, 287/8, 82811/1296, 2057/48, 
  -12905/576, 3355/864, -28567/648, 1/16, 27835/2592, 1/4, 1/4, -8665/2592, 
  -5/16, 32677/1728, 287/8, -15413/2592, 2057/48, -10001/1728, -14705/576, 
  -823/24, 51107/2592, 15/8, 0, 0, 5/8, -5/2, -19/4, 0, 0, -3/8, 0, -1/2, 
  7/4, 0, 103/4, 0, 0, 0, 3/2, 0, 7/4, -159/4, -4, 159/4, 9/4, 281/8, 149/8, 
  -419/8, -79/4, 639/8, 3/4, -825/8, -1045/24, -3/4, 0, 0, -7/8, 159/8, 11/8, 
  -21, 0, 0, -39/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/16, 1283/144, -1247/144, 
  -11/16, 21/8, -743/432, -113/24, -385/72, 385/72, 493/216, 0, 0, 0, 17/16, 
  -797/432, 25/48, -14/3, 103/54, 49/12, 7/6, 29/12, -199/192, 371/64, 1/4, 
  11/16, -25/12, -11/12, -1133/192, -13/16, -5/48, 0, 0, 3/4, 0, -3/4, 0, 
  1/3, 0, 5/8, 0, -1/3, -5/8, 3/4, 27/32, 0, 193/96, 0, 9/4, 27/8, -3/4, 
  -27/32, -3/4, -9/4, 0, 0, -19/9, -9/4, 0, 41/18, 9/4, 0, -1/2, -31/8, 
  -51/8, -1/3, -373/24, -16, 0, -35/3, 115/24, 13/4, -11/8, 623/24, 1025/24, 
  515/192, -239/48, 775/192, -35/24, -417/16, -53/8, -1/6, 307/96, -1085/96, 
  -323/192, -251/32, -125/48, -31/6, -25/6, -9/2, -29/4, -12, 1, -3/4, 8/3, 
  0, 107/6, 7/8, 107/24, 13/24, 25/8, -235/48, 257/64, 433/24, -1133/192, 
  -53/24, 19/4, -107/12, -1/24, 139/96, -941/96, 987/64, -63/32, 43/16, 1/8, 
  35/8, -187/48, -9/8, 1/16, -127/8, 7/24, 155/24, 1477/192, -1/24, -479/96, 
  -103/96, 277/96, -863/192, 421/96, 0, 0, 19/128, 1601/72, -499/128, 
  -1601/72, 0, 0, -3/4, 0, 3/4, 0, 0, 299/48, 37/192, -983/64, 3/2, -17/8, 
  2147/192, 0, 173/24, 49/192, 0, 0, 299/48, -21/16, -343/48, -239/16, 3/2, 
  -17/8, 2147/192, 0, 241/64, -281/48, -797/192, 49/192, 0, -11/48, 0, 0, 0, 
  11/48, -1/3, 0, -5/8, 0, 1/3, 5/8, 0, 55/8, 3/8, 3/2, 125/8, -3/2, -55/8, 
  0, -91/8, 241/12, -495/16, 0, 5/2, 0, -3/8, 0, 0, 0, -137/12, 0, 9/8, 0, 
  1/2, 123/16, -11, -501/16, 367/24, 3/4, -8/3, 155/48, -9/4, -1/4, 21/8, 
  111/8, 13/6, -81/16, -3/4, -3/4, 3/2, 11/4, 57/4, -9/2, -15/4, 3/4, 16/3, 
  0, 3, -55/12, -7/8, 1/2, -9/16, 5/2, 55/48, 207/16, -31/24, -65/16, -65/16, 
  2/3, -217/48, 139/48, -239/48, 67/16, 3/2, 0, 69/32, 31/16, -1/2, -179/48, 
  -33/2, 3/4, -289/48, 93/8, 9/8, -69/32, -115/96, -31/48, 289/96, -119/96, 
  13/12, -10679/144, 7283/48, -9911/48, 2075/48, -5, 425/384, -701/96, 
  -3261/64, -245/32, 7/12, 6849/64, -593/8, 0, 0, 0, -45/8, -769/24, 563/12, 
  -1021/8, -1292/9, -929/48, -26335/72, -5021/36, 18365/144, 1127/8, 469/24, 
  -562/9, -27/2, 445/72, 677/72, -361/72, 667/36, 29/36, -733/144, 727/48, 
  -641/9, 1753/144, -12389/144, 1549/8, -161/48, 33/4, -121/4, 43/8, 3/2, 
  35/8, -415/72, 157/24, -1, 2347/16, 9583/36, 0, -77/24, -28007/144, 275/24, 
  -2461/36, -31/8, -13/12, 19613/48, 9/2, 77/24, -1465/72, 127/24, 10787/144, 
  2147/16, 19115/72, -7271/48, 1557/8, -26963/144, 557/24, -7795/72, -3/8, 
  -1/4, 30607/108, 41/8, -3/2, 7171/27, 3/2, -244/9, 6511/48, 599/108, 
  -7247/48, 133/24, -28439/144, 35/12, -105833/432, -5/8, 23597/192, 131/96, 
  -3807/64, 183/32, 0, -251/48, 285/32, -24083/192, -815/32, 287, 379/32, 
  -2189/8, 0, -3607/32, -515/48, 361037/6912, 4703/32, 0, 0, -167/48, 
  -4703/32, -1/12, -383357/6912, -2259/16, -155527/2304, 4717/32, 
  174215/2304, -23/192, 1169/96, 343/24, -1011/64, -1345/32, -9/2, 3431/192, 
  -1141/96, 1145/32, -11/24, 175139/1728, 1795/64, -160567/2304, 1239/32, 
  171911/2304, 3/16, 289/24, 343/24, 401/16, -263/12, -15/8, 749/64, 
  -1141/96, 2455/96, -11/24, -57337/432, 549/64, 476489/2304, 1743/32, 
  -463129/2304, 1, 1/2, -1/4, -1/4, 2, -1, -1/2, 737/36, 0, 0, -247177/2160, 
  -1/4, 60371/1080, 1/8, 0, 62407/864, 1375/48, 1/12, 247177/2160, 
  -30343/540, -63535/864, -1/4, 3/2, 7/12, -5/8, -5/8, 19/6, 0, 129/16, 
  463/16, -37/24, -419/16, 250057/2160, -21/8, -55331/1080, -15/8, 19/8, 
  -29/8, -5/8, -11/4, 477/16, 5/4, -421/16, -19/8, 127/24, 5/8, -841/16, 
  -5/3, 0, 3905/72, 363/16, 225/16, -887/48, -24695/72, -1913/36, -1505/48, 
  2623/24, -3887/72, -13/2, 5813/72, 0, 47/12, -1141/24, 59/4, 9/8, -1631/48, 
  -3/2, 7295/72, -227/12, 1, -47/12, 571/9, -5, 4181/18, -1145/72, -3535/24, 
  -8239/72, -151/24, 3101/24, 5123/36, -95/8, 5321/48, 2489/48, -20297/144, 
  -1921/48, -75/16, 5285/48, 13/2, 34001/144, -1849/72, 0, -6841/72, -145/24, 
  3, 3245/36, -11/8, 2411/24, 2485/48, -1591/18, -613/16, 7381/72, 483/16, 
  277/24, 3233/9, -739/48, 17/2, -213/4, -51/2, -111/4, 1016999/2880, 
  133979/120, 2736661/1440, 773/4, 51/8, 90097/120, -138161/240, -6307/16, 
  -325349/480, 3/2, -13/8, -43/8, -151559/80, -93/16, -1439003/720, -889/16, 
  11/2, 11/4, 13/4, -5/2, -47/4, -19, 29/2, 49/4, -19/4, -25/4, 319/8, 79/4, 
  -217/4, 115/4, 13/2, -45/8, 17, -19/4, -19/4, -33/4, 319/8, -255/8, 79/4, 
  -5/8, -171/4, 147/8, -47/4, 41/4, 223/4, -3/2, 27/8, -137/8, 7/2, -43, 10, 
  3/2, -9/2, 33/2, 21/2, 281/8, 95/4, 5/4, 221/16, 27/8, 31/4, -21/4, 
  -107/16, 51/8, -10, -65/8, -7/8, 11/8, -1/4, 5069/240, 1623/80, 407/16, 
  43/4, 187/40, 567/40, -89/160, -2887/80, -6129/160, -47/3, 5/4, 97/10, 
  -429/160, 463/48, -79/96, 13/3, -17/8, -951/16, 1/12, 31/24, 515/16, 5/6, 
  8613/160, 5671/120, -1089/160, -24491/720, 471/16, 4825/96, 137/6, 
  -2567/96, 255/16, -105/16, 299/48, 1/2, 1375/32, 677/48, -725/32, 221/8, 
  69/8, -2773/32, -245/16, -105/32, 1/16, -601/32, 125/32, -3/16, -103/48, 
  1387/48, 1009/32, 1351/48, 24131/576, -14369/288, -49631/576, 3/2, 
  -291023/5184, -2647/192, -103645/1728, -180763/1296, -14809/3456, 7/8, 
  -13975/144, -370523/5184, -1/8, -4739/144, 528311/5184, -33791/3456, 
  47365/1728, 48299/648, -3103/192, -226945/3456, -329447/2592, 1607/3456, 
  36785/1728, -467/4, -392003/5184, -25/72, -97271/10368, -4775/144, -1/16, 
  572147/5184, -29039/3456, -67/16, 196193/2592, -3103/192, -122711/3456, 
  -176131/1296, 70079/3456, -35803/1728, -467/4, -212705/5184, -25/72, 
  -1451759/10368, -71/9, 34079/576, 367577/5184, -327257/3456, 1/4, -1/4, 
  -1/4, -8133/160, -3/2, 8073/160, -2, 5/8, 3/8, 8143/160, 11/16, -1/8, 47/8, 
  1475/96, -7/6, 209/16, 7/24, -3, -1441/96, -3551/160, 59/72, -177/8, 
  -6529/96, 73/8, 247/96, 51/16, -3/4, -39, 43/3, -1/4, 363/8, 1, 371/8, 
  255/8, -153/4, -359/8, 4, -159/4, 391/12, -107/6, 77/4, -1/4, 57/4, 1/4, 
  1/8, 239/8, 7/4, -349/8, 3, -113/4, 3/2, -107/4, 57/8, -1/4, -9/4, 1/4, 
  19/4, -1, 1/8, 1661/48, 2, 1/2, -1/2, -1/8, -11/8, 3/2, 1/8, -225/16, 
  473/16, 353/16, 59/24, -25/24, 1099/48, -31/12, -41/32, -1/16, -25/32, 
  57/32, -3/16, -93/16, -401/12, 3/4, 1001/32, 533/12, -107/32, 183/8, 95/8, 
  -7189/96, -205/16, -161/16, 0, -257/16, 201/16, 0, 311/48, 119077/2592, 
  967/96, 109751/3456, -26753/5184, -62303/3456, 27227/288, 43073/288, 
  -444241/5184, -5309/36, -43777/192, -129/8, 6689/24, -211/48, -371/192, 
  -89/12, 661/48, -21379/96, -39/32, -199/32, -1003/24, 181/16, 1/16, 
  -4819/288, -1531/48, 0, 0, 0, 0, 7091/288, 0, 0, 0, 0, 0, -7/8, 6871/144, 
  -1345/384, -3/16, 1697/192, -5/16, -683/128, 2969/64, -119/32, 2305/64, 
  -651/16, -3/16, 3/16, 217/16, 5/8, -565/48, -1319/96, 1297/128, 149/96, 
  -5411/384, 10/3, -4547/144, 3475/192, -49/8, 1105/384, 31/16, 381/128, 
  -1031/192, -25/16, 235, 21691/96, -2, -25669/96, -8671/32, -973/96, 
  -5423/24, 353/96, 6413/24, -49/8, 1330193/3456, 2125/6, 289/96, -55915/96, 
  -213703/1152, 7/4, 10307/48, -2, 15/8, -12937/48, -5/3, -5605/24, 353/96, 
  1105/4, -49/8, 557885/3456, 1076/3, -85/12, -65383/96, -218887/1152, -3/4, 
  -19/8, 13/8, 0, 0, 69/80, 0, 0, -9/2, 0, 0, -1133/12, 2327/12, 106847/1440, 
  -583/48, 9/2, 1/4, -42617/2160, 52109/288, -13/12, -161513/4320, 9/8, 2, 
  -15421/216, 1513/48, 1/18, 42617/2160, 2359/144, -151123/4320, -56971/288, 
  293/48, 67399/2592, 415/96, 107591/3456, 1205/162, -62015/3456, 81/40, 
  479267/2880, 696257/5184, -79291/1440, 0, -9/2, 0, 1/8, 861/40, 1/2, 
  -641/40, 0, 9/2, 0, -631/40, 0, 0, 0, -21/4, -1/8, 1/2, 121/16, -5/48, 
  29/12, 125/72, 13993/432, 5/24, 3/4, 0, 15/16, 123/16, -56483/432, 
  -509/432, 5/48, -3/4, -60493/108, -5/48, -15/16, -81/16, -4229/216, 15/16, 
  0, 878/9, 73/8, 21/4, 19/8, -824/9, -1, -25/16, -59/24, 0, 0, 1355/24, 
  -53/24, 5575/72, -1157/12, -25/48, -5/12, 1465/16, -1/8, -878/9, -137/6, 
  -123/8, -23/6, 9/4, 15/4, -10967/72, -339/4, -95/48, 353/24, 89/6, 27/2, 0, 
  295/72, -27/8, 41/4, 14, -3/4, -195/8, -14, 7/8, 113/8, -1/8, 1/8, -115/12, 
  -3/4, 125/12, 23, -44/3, -3/8, -37/24, -1609/24, 1/4, -5/2, -17/2, -3/2, 
  11/2, -1, 63/8, 0, 6, 23/8, -3/2, -3/2, 0, -71965/1296, 31/144, 73/32, 
  108373/2592, 257/144, -81/32, 167803/2592, 1/4, 319/96, 4213/144, 
  -19105/324, -211/16, -76165/2592, 1/6, 4843/144, -26393/144, -697903/2592, 
  53963/5184, 1865/144, -103/8, 1528999/5184, -635/288, 14611/648, -4015/144, 
  215191/1728, 207/16, -995/72, 0, 0, 0, 1/8, -841/32, 3/8, -117/32, 693/32, 
  125/32, -355/96, -1/3, -2189/96, 1/12, 0, 0, 0, 0, 0, 581/24, -221/16, 
  -1351/48, -719/48, 0, 109/8, 5/4, 0, -9/4, 1/2, 1, -1/2, 0, -13/6, 85/16, 
  142/27, -365/144, -5/24, 11/12, -691/72, 5/24, -5/4, 0, 7/4, 0, -1/2, 
  97/24, 0, -731/216, -67/24, 0, 0, 0, 3/4, -17/8, 1/4, 0, 0, 69/8, 67/48, 
  -13/8, -3/2, -1525/108, -1/8, 17/48, 1/4, -3/4, 743/144, 1213/1320, 
  101/108, -215/144, 23/48, 8647/216, -791/432, -5/48, -167/144, -5/2, 11/9, 
  39/16, 65/24, 1, -117/16, -26/3, -95/8, -15/2, 103/4, 757/48, -41/4, 
  -241/48, 9/2, 37/8, -1/8, 805/24, -1057/16, -115/2, 879/16, 13/8, 8, 449/6, 
  -599/12, 63/16, 215/24, 1411/48, 133/16, 6587/480, -68/3, 1679/48, 10/3, 
  -995/16, -481/4, -125/24, -105/4, -833/48, 9/4, 479/48, -10/3, 55/12, -1/2, 
  0, -43/64, 39/8, 0, 3751/192, -61/8, 139/24, 13/12, 1/12, -1159/64, 125/12, 
  -1/6, 11/48, 4/3, -79/8, -271/16, 25/192, 953/96, 27/16, 11/12, 625/48, 
  155/48, 31/48, -5/6, 27/8, -3/2, 15/16, 0, 0, -3751/32, -83/128, 3679/32, 
  0, -1529/72, -3751/32, 0, 3/4, 3751/32, -13/4, -955541/3456, -47683/96, 
  635/16, 0, -1, 18681/32, 0, 955541/3456, 18323/48, 168703/1152, -7465/16, 
  -214423/1152, 359/16, 0, -359/16, 59/48, 0, 351/16, 0, 0, -31/16, 867/16, 
  1/8, -345/16, -3/8, 1/3, -305/16, -317/16, 5/8, -41/2, -1371/16, 175/4, 
  305/16, 63/2, 0, 1, 0, 243/32, 43/16, 37/16, 109/24, -169/16, -77/48, 
  -11/12, 347/48, 1/16, -499/24, -5/24, -149/48, 0, -1/16, -123/16, 65/6, 
  2705/96, -349/24, 41/48, 545/96, -63/8, 31/48, -15/16, 81/16, -95/8, 15/16, 
  0, -1063/216, -2003/108, 13/8, -5/4, 58337/432, -347/27, 0, -593/216, -1/4, 
  -1/3, 21337/216, -7/24, -2771/216, 1061/54, 935/216, 7/12, -35/24, 
  -8039/432, -1/4, 695/108, -29831/216, -7/2, -158/27, 61/9, 1, 2485/216, 
  -9395/108, -163/108, 6131/108, 38/9, 21/4, 3/8, -443/72, 0, 0, -845/192, 
  -35/96, -9/32, -4169/64, 229/96, 29/32, 3/8, 1/4, -299/96, 191/48, 7069/48, 
  -947/96, -1/4, -3/8, 5/24, 1336871/6912, 18461/64, -1/8, 454817/6912, 
  -1041/8, -143/16, -19531/96, 257/16, -8179/48, -73/12, -860891/3456, 23/8, 
  51/2, 5621/32, -135/8, 7/12, -19/12, -1/4, -23/24, -37/24, -17/8, -1/8, 
  2251/96, 1, 215/96, -155/96, -41/32, 125/32, 29/24, -803/96, -7/24, -7/12, 
  421/144, 31/12, -3/8, 577/72, 17/8, -94463/6480, 164179/864, 5599/3240, 
  -192061/2592, 77/144, -185/24, -9, -67903/864, 45/8, 0, -787/8, -193/24, 3, 
  1447/18, 43/8, -75/16, -25/8, 47/16, 0, 295/8, -1/12, -1571/48, -97/48, 
  643/48, -1/12, 23/24, 361/48, 1/12, 104, 101/4, 0, 107/8, 37/8, -11/8, 
  16391/72, 161/2, 29/48, -2443/24, -133/12, 0, 3/8, -193/18, 17/8, -21/2, 
  -13/8, -9419/10, 29/16, -709/96, -64385/144, -69/8, 2763031/2880, 1451/16, 
  2131/60, -48457/144, 222053/720, 188939/720, 100583/90, -191981/720, 
  -293/48, -1/4, 137/24, 0, -5/4, 1/8, 27/8, -77/8, 1221/32, -71/8, 
  -41027/96, -419/32, 41357/96, -3/4, -11/8, -527609/480, 167/24, 482683/480, 
  17/4, 132991/120, -3, 1847/32, -1/8, 43321/96, -705/32, -42263/96, 
  490889/480, -341/12, -478243/480, -125311/120, -619/48, 333/16, 189/4, 
  1961/48, -525/16, 57/8, -73/32, -29/4, 41393/96, -37/32, -40655/96, -17/4, 
  507749/480, 383/12, 7/8, -473533/480, -53/16, 13/4, -63743/60, -145/8, 
  93/4, -29/4, -533/96, 279/16, -41945/96, 383/32, 41519/96, -514679/480, 
  -13/3, 160681/160, 123961/120, 319/48, -429/16, -271/8, -1043/48, 191/8, 
  5/4, -2, 659/160, 1/8, 2569/160, -41/8, 41573/96, -141/32, -40937/96, 
  55/48, 845/96, -3097/240, 521369/480, -4747/240, -157451/160, -11/24, 
  -49/12, -63583/60, -19/6, 7/4, -121/40, 0, -157/12, 217/16, 39/2, -3, 
  67/40, 901/48, 685/24, 5/8, 0, -67/4, -173/24, 0, 0, 36401/648, -1129/144, 
  -41/32, -50765/648, 211/144, 41/32, -653/48, -311/96, -5113/216, 
  92269/1296, -13889/864, -361/24, 1/12, -5005/216, 414451/7776, 109141/864, 
  9/4, -829/384, -1211/1728, 135/16, -840937/15552, -817/72, -52295/864, 
  6199/216, -1292491/10368, 43/8, -51/2, 31381/432, 15, -1/2, -455/16, 
  -45/16, 235/16, 53/16, -1/8, 1193/60, 11/6, 61/32, 3463/96, -13/32, 347/96, 
  -1/12, -3959/96, -1/3, 13/8, 5/8, -39/2, 1/8, 715/48, -21/8, -19729/480, 
  473/32, 47/6, 367/40, -19/12, 17, 15/2, -55/48, -21/8, -1/8, -45/8, 1/2, 
  1/4, 125/8, 0, 51/16, 7/4, -55/16, 1, 167/24, 229/48, -323/48, -1055/48, 
  -2/3, -7/12, -79/6, -5/24, 19/2, 21/2, -113/8, -5, -1/8, -293/12, -87/8, 
  -7/4, 385/24, -15/2, 3/2, 57/8, -1/8, -3129/32, 0, -1/2, 2565/32, 13/8, 
  1367/72, 29/8, -3077/32, 15/4, -871085/3456, -1957/6, -177/16, 7131/16, 
  177703/1152, 1/8, 475/4, -13/8, 93/32, -3557/96, -3/8, -577/96, -4307/32, 
  57/16, 235/96, 77/16, -25273/192, -1/6, 29629/192, 7/12, -121/48, 
  -41891/384, 11/8, 7327/27, 17267/48, -529/48, 11651/192, 89/96, -20407/48, 
  245/6, -11/4, 0, -213343/1152, -125/6, 0, 0, -3, 0, 3, 0, 0, -1229/160, 
  1/4, -17/32, -211/160, 121/32, -311/96, -7/8, 2683/480, 1/12, 0, 10, 0, 
  -13/2, 1, 1261/15, -9857/48, -81343/1440, 15887/720, -7, 0, 1, 37/4, 0, 0, 
  -1087/36, 0, 0, 26093/32, 0, -18991/72, 0, -1/3, 0, 1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 59/33, 483/220, 0, 0, 0, 481/144, -333/440, 4703/15, 14, 239/80, 
  -31/2, 7/2, 119/80, 0, -19/4, -1/2, 0, 0, 0, 0, 0, -4/3, -16, -7/3, 0, 0, 
  0, 0, 0, 0, 0, 92/9, -3659/144, 0, 7/8, -1889/36, 1/4, 19/12, -11/12, 0, 
  21653/24, 2249/72, -7/8, -3/4, 5/2, -1, 11/6, -13/12, -20045/18, -241/6, 
  -7159/6, 15067/12, 484769/192, 586721/192, 2755/18, -44375/27, 0, 0, 0, 0, 
  -1/3, 0, 2, 0, 0, -8, -18973/648, -671/18, 1/3, 0, 0, 0, 0, -3431/3, 
  -1117/36, -20725/18, -5225/6, -74249/72, 1, -47/6, 22933/18, 22933/18, 
  26173/32, 0, 49685/54, 0, -22325/18, -1444/9, -564379/192, 0, 0, 0, 
  -571/36, -17/18, -110/3, 1/6, -4, 4, 0, -2, 0, 0, 0, -8, 1/3, -115/18, 
  -7/12, -8, -16, -17155/648, -20395/648, 4, -677/18, 5/2, 67/36, 2083/288, 
  0, 0, 0, 3517/72, 3/4, 899/288, -2, 0, 639/220, 6327/7040, 0, 0, 0, 0, 
  -613/40, 60265/168, 9/4, 1/2, 1/2, 0, 169/48, 0, 0, -3/2, -1/2, 0, 1/2, 2, 
  0, -169/48, 0, 0, 3/2, 0, -1/4, -409/7040, -639/220, -898/165, -591/110, 
  -6327/7040, 5641/7040, 999/3520, 0, 0, -63/16, 2331/880, -29/18, -47/36, 
  -1/2, 0, 19417/7040, -1, 43/6, 2, 0, 179/60, 0, 0, 0, 0, 3261/3520, 0, 
  -29/9, 0, -66191/7920, -1714429/90, 899603/200, 1169959/1200, -587/40, 
  29/20, 737/40, -61609/168, 569/80, 13/2, 33/4, -167/80, 1451579/600, 
  2959809/400, -1658623/450, 1657948/225, 280849/80, 50, 22/3, -7, 11, 
  -1161/80, -1, 0, 1/2, -3, -6, -233/20, -37/15, -5/2, -7/2, -109/16, 181/48, 
  112139/5184, 69749/5184, 11/4, 479/8, -1, -19/3, -265/48, -541/48, 
  -1085/48, -191/96, -241/96, 3, -3/2, 27/2, 0, -5/4, 3/2, 25/12, 4, 37/6, 
  -1759/96, 0, 0, -2623/96, 8, 121/48, -763/48, 335/16, 4/3, 0, 7/2, 1/4, 
  -55/192, -1165/192, -1/96, -47/96, -137/6, 3/2, 0, -3/4, -143/24, -29/3, 
  -3/4, -3/2, -97/12, 0, -103/36, -2162801/5184, -8977/1080, -1/6, 0, -58/9, 
  -601/36, 2743201/8640, 58/9, 66653/1728, 32093/1728, 0, 0, -2, 
  -2226305/5184, -3/4, 1/2, -8257/1080, -15/4, 28/3, 305/18, 419137/1080, 8, 
  2319617/5184, -2056961/5184, 2203625/5184, 2177705/5184, 2174465/5184, 5, 
  2, 0, 8977/1080, -5/2, -2, 76/9, -389/36, -13195/32, -109/36, -13067/32, 
  -90977/4320, 43/144, -7627/144, 12677/288, -9685/288, 6, 2, -2, -3617/16, 
  -1615/96, -3/8, 35873/288, 41593/288, -907/288, -40/9, 57245/1728, 
  43421/1728, 48605/1728, 34781/1728, 44/3, 0, -1/2, 0, 0, -419677/1080, 0, 
  -421837/1080, 0, -11/2, 104851/3, 463/20, -1487/60, 7536667/672, 
  165894977/3360, 333279/200, 389151999/5600, -455569/672, 1603937/120, 
  -1424807/40, -335329/120, 5963/144, 5267/60, 2147/60, -153/32, -2321/72, 
  7/8, -17893/864, 9073/864, -1879/144, 197/24, -849/20, 1533/40, -73/2, 
  313/12, 827/20, -7/6, 7/12, 1, -5/12, -3553/72, 2003/144, 7/6, 5, 8, 
  3541/72, 3/4, -1511/144, -3, -7/6, -7/12, 5, -5/2, -13, -11/12, 1, -4, -2, 
  3553/72, -2147/144, -3475/72, 1/6, 44411263/190080, 833473/396, 
  8244653/1760, 542489/594, 907627/440, 1463/144, 69/8, -13/4, -9/8, 4/3, 
  -406, -7247/9, -2, 14215/9, 7877/24, -6541/12, -109159/72, 350281/144, 
  85645/144, 0, 0, -1048/9, -667/48, 331/96, 9/4, -23293/48, 0, 0, 0, 0, 7/8, 
  -3/2, 107/6, -41/16, 1/4, 27/16, 0, -47/36, -3/2, 65/36, 97/4, 3, -4, 
  -147/4, 95/18, 983/18, 811/12, -143/6, -17863/16, -9211/144, -7, 15/2, 
  13/2, 9/2, -121/12, 33/8, 1807/32, 249/8, -1313/48, -233/8, 0, 0, 0, 0, 
  9/4, 359/6, -1/8, 0, -359/6, 15/2, -1159/36, -37/3, -71/6, 755/18, 
  -1251/20, 259/120, 3587/40, -43841/180, -797/36, -3679/96, -89/4, 
  -20291/576, 157/6, 25597/432, 4, -25597/432, -17/8, 22723/432, 25103/864, 
  -3679/192, -33959/864, -103/24, 39011/864, 7/2, 277/40, -7/2, 355/4, 
  -703/20, 2969/80, -251/240, -1009/80, -14941/120, 6991/144, -1, -297/80, 1, 
  -7337/80, 459/16, -101/64, 247/192, 157/576, 13481/576, 707/24, 749/864, 
  1/2, -749/864, -5135/96, 1703/72, 407/48, -7/8, 13481/576, 175/6, 
  -63497/864, 857/1728, 13193/576, 49543/1728, -49043/864, 0, 0, 0, 0, -3/2, 
  15673/648, 0, 361/192, -8/3, -7/2, 84487/108, 7/6, 10, 13/8, -119/24, -9/2, 
  0, 0, -83/24, -3/2, -3/8, 2/9, -13/12, -319/36, -44/3, 1187/48, -102583/72, 
  -4613/72, 0, 89/24, -31/9, 0, 3514/495, 127/16, -179/16, 5/12, 617/24, 0, 
  -3, 0, 6327/7040, 0, -3/4, 3/2, 93161/5280, -77/8, 1999/1584, -5779/1320, 
  -431/72, 17/288, 0, 13/3, -167/18, 3/2, -16/3, 3205/4, -3339/2, 
  -14421839/1800, -18279709/1800, 76058629/3600, 21773377/1800, 5295101/1200, 
  33, -19933/48, -14305/96, 253/4, 13969/96, -1193/4, 74/3, 46513/480, -29, 
  -69499/480, 0, 239/6, 371/8, 1, -343/12, -1/4, 311/48, 3/4, -109/2, 
  -1459/48, -3/20, 1147/20, 51/5, 1817/30, 729/10, -1901/15, -4641/80, 
  -1417/96, 733/24, 7069/192, 175/32, 50353/2592, 101/24, 11/12, -141/64, 
  13/6, -5021/2592, 1375/192, 1/2, 283/96, -188413/5184, 32789/1728, 319/12, 
  -70739/3456, -13393/576, 29323/864, 569/576, 59/2, -35957/3456, -1, -11/24, 
  13/4, -2639/120, -2/3, 21403/216, -3/4, 5/2, -105053/216, 7/2, 4379/960, 
  -7/12, -5/4, 8537/960, -661/32, 1925/96, 1273/32, 1261/64, -509/32, -7/6, 
  367/24, 21/2, -13/8, 25/24, -351/16, 885/32, 1935/32, 3139/96, -865/48, 
  -1555/96, 199/96, -997/9, -1659/16, 3, 11/24, -49/256, 3/4, -3907/256, 
  2259179/20736, -877327/6912, -876055/10368, -104741/5184, 1764115/20736, 
  2082491/20736, -960595/6912, -1508003/20736, -811565/5184, 380731/5184, 0, 
  3/8, -65/24, -49/12, 0, 4837/144, -345523/864, 0, 0, -83011/864, 11/48, 
  3/4, 83983/864, 702047/4320, -2067421/2880, -153521/1728, 6219/40, 
  -41177/1728, 0, 1, 0, 47/48, 211/12, -2590937/2160, 65596559/10800, 
  349499/432, 133373/144, -2519785/1728, -107/48, -1282769/20736, -277/24, 
  -35/8, 36524531/21600, 2592377/2160, -12196367/7200, -65412509/10800, 2/3, 
  13/6, -4831/9, -93/4, -307/12, 3263153/20736, 2706707/10368, 602671/6912, 
  7, -427/72, 4838141/6912, 10880489/20736, 2209601/10368, -2255945/6912, 
  1/2, -55619/400, 1/4, 56219/400, -15/8, -595567/10800, -1143707/8640, 
  -184525/216, 819833/1728, 136295953/43200, -239171/5400, 258887/900, 
  712657/2160, -4820513/21600, -125583583/43200, -11/4, 82091/1200, 0, 
  -86291/1200, -167/48, 4073/216, -313/192, -34427/144, 2401/216, 40809/64, 
  1093151/1728, -2185/384, -432271/576, 5089/432, 123131/192, 1096367/1728, 
  -6065/384, -262423/576, 1783/432, -1853521/3456, 88673291/103680, 
  -9472199/20736, -6656141/4320, 41262019/103680, 4339/192, 651/16, -9485/54, 
  111/2, 185833/432, 2221/48, -94123/432, -7/8, 7385/192, 1/8, -1767/16, 
  23866231/311040, 1937995/10368, -143762999/311040, 334333/10368, 
  -426827/5184, -71951/10368, -184681/10368, 32251853/155520, 17/8, 
  -200513/5184, -11/8, -22933/10368, -2156077/155520, -821461/1728, 1361/108, 
  24599/54, -68827/432, -57473/432, -189727/864, 497/216, 180985/288, 
  83741/216, -221627/288, 176891/1152, -4051/96, -23075/108, -24479/108, 
  1231051/1728, 386777/3456, 219/32, 1301/96, -143263/864, 1188443/1728, 0, 
  0, -3, 0, -107953/480, 640663/1728, 8661/40, 10955/432, -107953/960, 
  -6769813/17280, 8921/80, 414947/720, 2550217/4320, -6298157/28800, 
  -7367479/103680, -204043/103680, -1307249/1728, 1327102679/518400, 0, 
  -115/18, 0, -47/18, 115/18, 26840331/400, -64537/30, 3893621/720, 
  -126659/120, 26034589/600, -46773/80, -14924047/720, 4849/64, -12251/576, 
  -19/12, 11/8, 12379/192, 13/8, -197/12, 50141/480, 2967/64, 283/4, 
  -32179/480, -49951/480, 61511/960, 1201/48, -75409/384, 7/6, -115361/576, 
  158731/288, -19501/64, -460403/576, -139705/288, 83, -7879/32, -14305/48, 
  -887/64, -7603/96, -77803/288, -159775/288, 8229/320, 1774399/2880, 
  755057/1440, -91/3, -21/4, 1413/40, -347/24, -1411/80, -1319/40, 
  -1617739/31104, 458713/15552, 355177/1152, -245/24, -181219/7776, 223/24, 
  110977/576, 23/6, 7761/32, -513/16, 13781/72, -16199/48, -49019/288, 
  -131/24, 2609/192, 3709/72, 1/48, 16439/144, 623/16, -27251/72, 181675/144, 
  2317/36, 11/6, -43657/1728, -161/96, 29/16, -12073/144, -145/48, 
  1923875/5184, -1439315/5184, 6725/96, 2275391/2592, -1/4, -322873/720, 
  50131/240, 29/24, 152779/480, -279/16, -11/8, -1017863/864, -132809/720, 
  -425/144, 64643/144, 865771/2160, -145957/480, 1260905/864, -16067/27, 0, 
  -7/4, 41/16, -368539/1296, -1034533/2592, 199727/20736, 0, 85/288, 
  380297/1152, 0, 7/4, 219/16, 1174615/1296, -347/36, -81/8, 1293/8, 
  -14491/18, -223/3, -24419/144, -653/24, -199/36, 40949/288, 1713/8, 
  -43439/144, -57127/96, 92347/288, 2651/144, -139/12, -41705/288, -23/2, 
  -56569/384, -15527/192, 481/96, -341177/2304, 156431/1728, 893275/6912, 
  -3501/64, -2689/96, 8571/16, -2789/96, 374329/2304, 91957/1728, 
  -791563/6912, -22237/48, 605/72, 0, 71684/135, -103465/144, 11/8, 
  -239831/540, 3/16, -133, 257149/864, -27/4, -4337/48, -71684/135, 
  157715/144, 53084/135, -248161/864, -13603/36, -45/8, -5881/72, 297/16, 
  5279/144, -51/8, 817/4, 24833/432, 467/4, 3401/96, 1369/18, -2509/72, 
  -3493/54, 0, 522193/1296, 770639/1728, -1183/96, -5390999/10368, -30973/54, 
  252709/3456, -1999399/2592, -8761/144, 3849335/5184, 6253/144, 
  2573963/10368, 688733/1728, 10405/108, -3084371/5184, -225223/1152, -3/2, 
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  -17/2, 1/2, 0, -45/4, -3/4, 0, 0, 0, 0, 0, 13/2, 55/8, -83/4, 0, 35/72, 
  13/36, 11/4, 43/8, -12, 83/36, 4, -19/2, 553/72, -4, 0, 1/2, 0, -15/2, 0, 
  0, -8, 0, 0, 0, 0, 0, 0, 0, -1/4, 5/4, -1/8, -5/4, 3, -15/4, -13/2, -15/8, 
  0, -3/2, 0, 0, 2, -2, 0, 0, 0, 0, -1/2, 0, -1/4, 0, 0, -1/4, -1/2, 0, -1/4, 
  0, 0, 3/4, 0, 0, 0, 0, 0, 1/4, -5, -2, 2, -3, -2, 6, -6, 5, -1/2, -7, 2, 0, 
  19, 0, -23, -19, 0, 0, 0, 0, -19, 3/2, -12, 0, 0, -3/2, 0, 8, 3/2, -15/2, 
  0, -2, 6, 0, 0, 0, -2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 
  -5/2, 3/2, -3/2, -105/8, 105/8, 121/8, 27/8, 129/8, 1/2, -7/8, -27/2, 0, 0, 
  0, 0, -5/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, -3/2, -3/2, -6, 
  -17/4, 0, 3/2, 3/2, -1/2, 3/2, -15/2, -9/2, -3/2, 9, 0, 1, 0, 1, 3/2, -9/2, 
  -9/4, 6, 0, -15/4, 21/4, 0, -25/4, -3, -15/4, 17/4, 3, -9/4, 1, 0, -5/2, 0, 
  3/2, 9/4, 0, -13/4, -15/4, 5/4, -3/4, 5, -9/4, 1/2, -3/2, -1/2, 1/2, 3/2, 
  -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 3/4, -49/16, 19/8, 47/8, 
  19/144, -19/4, -19/72, -1/4, -1/16, -1/8, 0, -1/16, 0, 5, 3, -13/4, -1/2, 
  -3, -55/2, 1/2, 15/2, 1/4, 0, 7, -2, -27/4, 59/16, 9/8, -2, 539/144, -41/8, 
  -1, 17/16, -27/4, 3/4, -23/8, 35/16, -6, -5/2, -119/16, -117/16, 547/144, 
  129/8, -733/144, 7/8, 31/16, 7/8, 21/8, 71/144, -13/8, 53/16, -47/144, 
  -56/9, -715/144, -3/16, -9/4, 1/2, -3/4, 3/4, 29/8, 1, 67/16, -17/8, 71/16, 
  5/2, 5/16, -715/72, -575/144, 1, 0, 3, 0, 3/4, 0, 0, 0, 0, 5, 0, 0, 1/4, 
  7/8, 27/16, 1/16, -7/16, -1/32, -7/8, -189/16, 17/8, 81/8, -3/16, 3/16, 
  1/4, 59/16, 7/4, -3/32, -103/32, 9/16, -43/16, -3/4, 9/32, 5/2, -13/16, 
  127/32, -83/32, 73/16, -69/32, 0, 3/8, 15/8, 1, 0, 0, 3/4, -7/2, -7/4, 
  -7/32, -15/8, -11/16, 0, 33/16, -5/16, -1/24, 1/8, 0, -7/24, 1/12, 9/4, 
  1/8, -1/24, -1/8, -1/12, 1/4, 0, 1/12, 5/4, 27/4, -1/2, -1, 5/2, -7/8, 
  -3/2, -3/8, -17/24, 1, 0, 0, 11/24, 11/8, 3, 1/2, 3/4, -3/4, 0, -1/2, 
  -11/8, 1/4, 3/2, 5/4, -1/2, 1/2, 5/4, 0, 3/4, 3/2, -3/4, 0, -1/2, -11/8, 
  -1, 3/2, 11/4, -3/4, -1/4, 3/2, 1/4, -5/4, -1/4, 5/4, -2, -1/4, -1/4, 5/4, 
  1/4, 0, -12, -4, -3/4, -25/4, 3/4, 1, -3, -3, 3, 9/4, 1/4, 15, 15/4, 
  -115/4, -23, -3/4, 19/4, 0, 3/4, -15/4, 0, -53/4, 3, -4, -37/2, 0, 0, -9/4, 
  0, 3/4, 0, 0, 5, -3/4, -11/4, -1, -27/4, -3/4, -85/4, 2, -3/4, 1/2, 1/2, 
  -1, 6, 0, 1/4, -1/2, 5/4, 0, 0, -7/4, -3, -5/2, -1/4, 0, 1/12, 7/12, 3/4, 
  -1/6, -5/12, -3/4, 0, 1/4, 0, 17/12, -1/2, -2/3, 8/3, -4/3, -5/12, 1/2, 
  19/8, 13/12, 17/24, 0, 0, 5/8, 0, 0, -1/2, -3/4, 5/4, -3/4, -15/8, -25/36, 
  -1, -5/2, 5/2, 5/2, -3/2, 45/8, 25/12, -43/8, -109/36, 0, 3/4, 5/4, 3/2, 0, 
  0, 0, 9/4, 0, -25/8, 0, 0, 0, -17/8, 1/4, 1, 4, 3/4, 55/4, -3/4, -9/4, 1/2, 
  11/4, 1, 53/16, 69/4, -13/16, -5/4, -7/2, -37/16, 3/4, -21/8, -3/8, -3/2, 
  27/8, -15/4, -139/16, -3/4, 69/16, 87/16, -49/16, 9/4, 23/4, -7/8, 5/4, 1, 
  3/8, 3/8, -3, -9/8, 3/8, 1/4, -11/8, 3/8, -11/8, -7/4, -5/16, 13/16, -15/8, 
  -1, 13/6, -31/16, -3/4, 47/16, -1, 13/8, 103/48, 1/4, -3/8, -421/96, -3/2, 
  -39/16, -23/16, 541/96, 35/16, 5/8, 31/12, 1/4, 5/4, -403/96, -11/8, -35/8, 
  -23/16, 475/96, 35/16, 5/4, 11/16, -5/4, -51/16, 21/8, 0, 0, 0, 0, 0, 0, 
  -1/2, -5/2, 3/2, 3/4, 43/36, 0, 0, 0, 0, -19/2, 0, 15/2, 0, 0, 0, 0, 1/8, 
  1/4, 0, -1/4, 3/4, -3/4, 0, 0, 77/24, 1/3, -1/4, -515/216, 1/8, -7/4, 
  -27/8, 0, 3/2, -1/8, 3/2, 27/8, -3/2, 0, 1/4, -1/2, 0, 3/4, 1/2, 2, 5/4, 
  3/4, -1, 0, -1/4, 0, -5/4, -5/2, -19/8, 0, 0, -1/4, 0, -1/4, 5/4, 27/4, 
  15/4, 3/2, -3/2, 3/4, -19/4, -5, -1/2, -3/4, -27/2, 0, 33/4, 27/4, 1/4, 0, 
  1/2, 1/4, 1, -1/2, -11/8, -1, 7/8, -3/4, -21/8, 1/2, 21/8, 17/8, -7/2, 
  11/8, 9/8, -23/4, -7/8, 7/8, 29/8, -3/2, -29/8, 5/8, -19/8, -17/8, 31/8, 1, 
  -3/4, 3/4, -3/2, -1/4, -2/3, -13/24, 7/16, 89/32, 5/12, -3/16, 1/4, 0, 
  21/8, 5/4, -199/32, -5/12, -3/4, -9/8, 1/8, 181/48, 7/16, 1/6, -71/24, 
  -1/2, -67/8, 1/12, 0, 0, 0, 0, 0, -3/8, 1, 1/4, -9/16, -5/4, 13/16, 0, 
  -1/24, 31/16, 7/72, 0, 0, 0, 0, 0, 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 0, 
  1/2, 0, -1/8, 1/4, 0, -1/4, 0, 1/8, 1/4, -27/8, 1/4, 27/8, -1/2, 3/4, 27/8, 
  -1, 27/8, -27/8, -27/8, -59/144, 5/48, -1/2, -1, -5/4, 1, -1/2, 1/2, -1/3, 
  3/4, 1/8, 19/24, 0, 2/3, -15/8, -3/8, 1, 3/2, -7/24, 21/8, 0, -17/4, -39/8, 
  -1/4, 3/2, -51/8, 6, -1/8, 79/8, -103/8, -33/4, 109/32, 21, -1/4, 23/16, 
  -3, -5/4, 131/16, -93/8, 0, -7/8, 1/2, 1/2, 1/8, 2, -23, -39/8, 113/8, 
  -77/4, -13/4, 147/8, 9, -23/8, -27/8, 105/4, 7, -89/8, -37/4, -19/32, 
  -63/32, -1/4, -7/8, 61/32, 9/2, 3/4, 35/32, 0, 67/32, 5/8, 39/16, -547/72, 
  -5/16, -25/16, -25/16, -3, -305/32, 3, 9/16, 727/288, 9/8, -13/16, 83/12, 
  -31/16, 31/16, 343/144, -1/6, -11/4, -17/144, 0, -1/2, 0, 27/32, -323/96, 
  5/8, 7/8, 21/32, -5/8, 77/32, -1/8, -23/32, -13/16, 7/32, 91/32, 0, -1, 
  -49/16, 3/4, 1/32, -1/6, 17/4, 0, 257/144, 0, 3/8, -9/16, 0, 45/32, -11/16, 
  -79/32, -7/8, 5/8, -1/8, 7/32, 0, 7/32, -43/64, -11/4, -1/8, 5/32, -1/2, 
  29/16, -27/8, -23/32, 59/16, -3/4, -5/32, 11/16, 177/64, 3/32, -5/4, 81/8, 
  -15/32, -5/4, -27/4, 1/2, 1, 3/2, -7/12, -7/4, -5/3, 1/8, -3/8, -7/4, -7/6, 
  1, 31/12, -5/8, 3/8, 5/6, 1/2, 13/12, -13/4, 17/24, -9/4, -5/4, -1, 55/24, 
  -19/24, -11/24, -13/8, 3/8, 3/8, -1, -9/8, 1/8, 1/4, 1/8, -3/16, -167/96, 
  0, 15/16, 1/2, -7/4, -7/8, 401/96, 0, -1/2, 1/8, 0, -3/4, -5/4, 3/8, 5/8, 
  1, 1/4, -81/16, -25/16, 7/2, 11, 1/3, 3/4, -3/4, -5/4, -1/2, 7/6, -1/8, -2, 
  9/8, 31/48, 9/4, -47/48, -7/8, -41/24, -21/16, 23/18, -1/3, 31/24, 3/4, 
  5/12, -25/24, 5/8, -13/6, 0, 3/2, 0, -1/4, 9/8, -3/8, 0, -23/8, -7/2, -7/4, 
  4, 17/8, -7/8, 1/8, 7/8, 3/4, 21/8, 23/4, 3/4, -13/8, -19/8, -5/4, 7/4, 
  -5/2, -3/4, 27/8, 1/2, -13/4, -1/4, -2, -3, 27/8, 11/4, -11/4, 0, 39/8, 
  -123/8, -27/8, -7/8, -3/8, -69/8, 1023/64, 21/16, -13/8, -35/32, -1/2, 1/2, 
  7/16, -1/8, 3, -1/4, 0, 3/4, 5/4, 21/2, 0, -5/8, -1, -1/8, 7/8, -11/16, 
  15/8, -1/2, 3/4, -4, 1/2, 1/8, 1/4, 3/8, 13/8, 1/24, 7/16, -1157/288, 1/12, 
  -19/16, 1/36, 3/8, -21/8, -65/72, 581/96, 5/72, 25/72, 9/8, -1/36, -1/4, 
  29/18, 9/8, 5/24, -4/3, 7/36, 141/16, 67/16, -29/9, -91/8, -1/2, 7/4, -1/8, 
  -7/4, 5/8, 0, -5/8, -1/3, 25/16, 33/8, -25/16, 1/8, 71/72, -53/16, 1/36, 
  13/8, -77/8, 1, -5/8, 23/4, -9/8, 11/8, 83/16, -1, -131/48, 43/8, -59/8, 
  -33/8, 15/8, -3/4, -1/4, -3/8, 0, 3/4, 15/8, -1/4, -7/8, -13/4, -1/8, 5/8, 
  -1/2, 3/4, 19/8, 17/8, -17/8, -3/2, -13/8, 1/2, 9/8, -1/2, 45/8, 13/4, 7/8, 
  -9/4, 5/8, -63/8, -5/4, 7/8, 3/2, -21/4, 21/8, 1/2, 4/3, -15/16, -15/16, 
  17/32, 17/16, 33/16, -185/48, -11/8, 1/4, 19/16, -179/32, -9/4, 359/48, 
  -1/8, 47/16, -13/8, 105/32, 0, 9/16, -133/32, 5/16, -71/32, -7/16, -37/32, 
  27/16, -29/16, 27/4, 19/16, -15/8, -27/4, 0, 0, 0, 0, 0, 0, -8/3, 3/4, 
  -13/16, 19/6, 13/16, -1/2, -43/24, -125/48, 79/72, 1/2, -1/2, 0, 0, -1, 0, 
  1/2, -27/4, 1, 27/4, -12, 0, 97/6, 0, 161/8, 0, 0, 0, 71/6, -1/4, 9/2, 
  93/2, 1, 3, 0, 0, 0, -71/6, -1/2, 9, 93/2, 3/4, -62/3, -56/3, -11, -9/2, 
  -1/2, 0, 0, -24, 0, 0, -24, 4, -15/2, 0, -15, 0, 0, 0, 0, 8, -4, 4, -1, 0, 
  -39/8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, -9, -4, 0, 0, -6, 
  -12, 0, 0, 0, 0, 0, 0, 2, -3/2, 307/8, -104/3, -181/4, 340/9, 351/4, 
  -165/4, -1973/72, 635/9, -15/8, -17/3, 0, 0, 0, 0, -9/4, 7/4, -15/4, 15/2, 
  33/4, 0, -17/2, -15/4, 3/2, -1/2, -1/2, 0, 137/4, 0, -141/4, 0, 0, 0, 3/2, 
  0, 0, -3/2, 49/4, -135/2, 8, 32, -15, 0, 223/6, 0, 0, 0, 0, 9, 0, -545/8, 
  15/8, -105, -13/2, 105, 889/8, 575/24, 0, -9/2, 0, 497/4, -63/4, 4, 0, 0, 
  0, 0, -13/24, 5/3, -19/2, 6, 401/16, 39, -61/4, -5/2, -3/2, 2, 0, 0, 2, 
  -15/4, -19/12, 37/16, -261/8, -15/4, -175/8, 11/4, 9/2, -29/8, 7, 19, 7, 
  13/2, 55/2, -12, 1/4, -23/8, 7/4, 7/2, -6, 0, 0, 21/2, 0, -259/8, 
  15151/288, 3863/144, -61/24, 0, 0, -295/24, -5/6, 3/4, 31/6, 0, 0, 6, 0, 0, 
  2, 151/144, 0, 31/2, -5279/144, 0, 0, 0, 0, 0, -617/8, -149/16, -247/16, 
  7607/96, 473/48, 21/8, 145/4, 223/4, -67/8, -761/36, -219/4, 153/4, 287/8, 
  1047/16, 487/24, 0, 0, -43/16, -29/64, -2299/128, -20, 2067/128, 157/64, 0, 
  399/128, 0, -343/128, 0, 0, 0, 15/8, 73/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -11/4, 0, 0, 0, 0, 1/8, 0, 0, 0, 0, 0, -9/2, 0, 5/2, 19/2, -5/8, 0, 10, -6, 
  0, 0, 135/4, 18, 7/4, 93/4, 159/8, 19, -17/8, 93/4, 13/8, 395/16, 35/4, 
  -221/16, 171/8, -9/2, 395/16, 15/4, -221/16, 101/4, 0, -1, 0, 0, 0, 0, 
  -717/16, -45/4, 1737/16, 451/8, -825/16, -577/8, 2165/16, 429/8, -9/8, 
  531/8, 21/4, 0, -63/8, 0, 153/8, -405/8, 59/8, 55/16, 13/8, 31/16, 133/16, 
  11/8, -59/8, -25/3, -1361/144, 73/36, 155/18, -523/24, 661/144, 1105/144, 
  63/8, -85/96, 5/2, 1/8, -503/96, -17/8, 17/16, -1/16, 2, -3/2, -9/16, 
  -37/4, -109/24, -91/16, 0, 5/6, -29/12, -27/8, 17/48, 17/16, -1/32, 29/12, 
  -9/4, 7/4, 45/8, -9/8, -39/8, 23/4, 21/8, 11, -19/12, 4, 7/8, -49/8, -29/8, 
  -8, 5/2, 53/12, -1/2, -63/4, 1/4, 1/4, -1/2, 21/4, -105/8, 61/4, -1/4, 3/2, 
  119/8, 0, 17/8, 20, 89/8, -119/8, -26, 0, -11/2, -45/4, 1/4, 15/4, -5/4, 
  3/4, 69/4, 25/8, -3/4, 11/2, 73/4, -4, -12, -7, 0, -3/2, 9/2, -3/4, -15/4, 
  -163/24, -43/4, -77/12, 63/8, -21/4, 12, 177/4, 8, -53/4, -97/16, 983/48, 
  97/16, -275/48, 49/6, 0, -151/24, -7/12, -1/2, -397/48, -61/16, 239/24, 
  319/24, -2, 69/2, -4, 5, -69/2, -3, -25/4, -611/24, 539/8, 901/144, -21, 
  33/8, 97/8, 967/48, 15/4, 3/8, -15/4, -9/8, 13/4, -5/4, 15/4, 13/4, -29/4, 
  -29/8, 9/2, -9/2, -3, 11/16, -35/16, 1/8, 0, 0, 0, 0, 0, 0, 0, 3/16, -1/2, 
  -17/48, -31/12, 149/144, -29/72, -1309/144, 13/2, 1105/216, 1885/216, 23/3, 
  283/48, -3/4, 127/16, -5/4, 7/4, 27/16, 27/8, -7/32, -3, 11/4, 225/32, 9/2, 
  -485/144, -103/48, -121/48, 37/2, 27/16, -87/4, 69/8, -71/16, -207/16, 
  51/8, 63/32, -203/16, -9/4, 309/16, -175/8, 19/4, -61/16, 69/16, 2381/64, 
  29/4, 1591/288, -37/3, 1703/144, -2479/288, 4637/288, 407/18, -111/16, 
  679/48, -19/4, 53/16, -1/8, -9/8, -29/8, 113/4, -215/16, -129/4, 13/16, -2, 
  15/16, -45/16, 217/8, 239/72, 127/16, -115/8, 17/12, -27/4, -3/4, -211/16, 
  161/16, 41/32, -129/32, 43/16, 57/8, 47/8, -187/16, -605/32, -1/12, 397/32, 
  -3/2, -53/48, 13/12, 3/2, 67/36, -247/72, -3/32, -55/8, -41/16, 0, 179/32, 
  -3/4, -33/32, 493/144, -61/8, 131/48, -799/32, -65/24, -109/32, 775/36, 
  1045/144, 49/8, 365/16, 51/32, -39/4, -6, -63/32, -39/8, 413/192, 
  18583/576, 17/32, 2681/72, -1033/96, 4639/288, -5531/144, 85/24, -229/32, 
  31/64, 17/8, 227/64, -413/128, 119/128, -593/32, -29/8, 635/64, 33/16, 
  -943/128, 115/16, -315/128, 511/64, -51/32, -9/16, 13/4, -9/4, -79/16, 
  -109/8, -29/48, -91/16, 0, 0, -5/6, -1/24, -1/12, 5/8, 1/12, -7/12, 0, 2/3, 
  0, 0, 7/24, 0, -1/2, -1/24, 0, 13/4, 275/16, 1/4, -4, 3/16, 67/24, -27/8, 
  -21/4, 81/16, 3/2, 53/16, -21/2, 1/24, 181/16, 9, -1/8, -3/4, -1/4, 7/4, 
  -7/8, 0, 33/8, 1/8, -13/8, 15/4, -59/8, -793/96, -5, -43/8, 121/4, 97/8, 
  375/32, 183/16, -29/2, -111/16, 287/16, -343/32, -37/4, 199/32, 337/16, -1, 
  9/8, 21/2, -5, -12, 3, 81/8, -47/4, 6, 131/36, -5/8, -131/4, 9/4, 443/12, 
  103/4, 13/16, 49/4, 23/32, -161/8, -113/8, 939/64, -4, -643/96, 487/32, 
  199/24, 0, -223/12, -29/4, 75/4, 24, -347/16, -13/4, 155/24, -423/16, 
  -13/9, -147/16, 1561/48, 313/16, -609/32, -24, 619/64, 91/16, -273/16, 
  635/32, -19/8, 135/16, -869/32, 1/2, -32/3, -451/24, -661/48, 1427/96, 
  -3/16, 2185/24, -71/48, 211/6, 599/48, -137/12, -265/16, 41/3, 1, -3/8, 3, 
  15/2, 395/16, -9/2, -151/16, -413/24, -9, 1147/144, -17/8, -1, -29/2, 0, 
  -145/4, 1, -19/6, -1/2, 23/12, -199/96, 59/24, 439/24, 199/12, 1063/96, 
  -101/18, -115/4, -87/4, 1189/24, 441/8, 9/4, -27/4, 109/4, -1/2, 0, -379/8, 
  317/16, 0, 0, 53/8, -475/4, 1189/12, -783/4, 7/8, 0, -727/16, -373/32, 
  1543/96, 139/8, 2563/32, -65/4, -147/16, -187/8, 121/48, 1501/64, -363/32, 
  887/48, 629/24, -201/4, 309/8, 257/4, 423/8, -235/8, 133/4, 57/8, -49/4, 
  -21/2, 169/8, 699/16, -903/16, -153/2, 23/2, -235/4, -637/8, 431/16, 
  829/16, 519/8, 0, 319/8, -483/8, 5/4, 639/16, 57, 439/32, -675/16, 
  -9499/576, -5429/288, 1381/128, 419/128, 4727/128, 267/16, 1025/128, 
  -273/32, -15/16, -53/4, 0, 67/8, -2453/72, 861/16, -245/36, 10979/144, 
  -291/8, 69/4, -203/8, 113/24, 69/8, 1431/32, -759/16, -745/64, 75/16, 
  5023/64, 16527/128, 16401/128, -4057/384, -1891/288, -91405/1152, 1403/16, 
  111/8, -771/16, -43/6, -3487/48, -399/8, -323/24, -563/16, 11, 369/16, 
  -565/16, 17/16, -33/16, 3221/96, -2815/64, -703/64, 6195/64, -731/32, 
  2787/16, -2233/16, -5829/32, -84659/192, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 1/2, 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, -1/2, 1/2, 1/2, -1/2, 0, 0, 0, 1/8, -1/4, 0, 1/8, -1/4, 0, 1/4, 
  1/8, 1/4, 0, -1/4, -1/4, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/8, 0, 0, 0, 0, -1/4, 0, 1/4, 1/8, 0, 0, 0, -1/4, 0, 1/2, 0, 0, -3/4, 0, 
  1/4, 0, 0, 0, 0, 0, 0, 0, 1/8, 0, -1/8, -1/8, 0, 1/8, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 7/8, 3/2, 1/2, 0, 0, 0, 0, 0, 0, -1/8, 1/8, 0, -1/8, -1/8, 5/8, 0, 
  -3/8, 1/8, 1/4, 0, 0, -1/4, 1/16, 0, -1/4, 0, 1/2, -1/8, 0, 0, 0, -1/8, 
  -1/4, -1/2, 3/8, -1/4, 5/16, 1/16, 1/16, 0, -5/16, 3/16, 1/16, 1/16, -1/16, 
  1/4, 11/16, 3/4, 7/16, 0, -3/16, -1/16, -5/16, -9/16, 1/16, -5/16, -3/4, 
  -3/8, 5/16, 0, 0, 1/2, 1/2, -5/8, -1/8, 1/8, 1/8, 0, 0, -1/4, 1/4, 0, 1/8, 
  -1/4, -1/8, 1/8, 5/4, 3/2, 1, -5/4, -3/8, -1/4, -13/8, -3/8, 0, 3/8, -3/2, 
  -3/4, 1/8, 0, 0, 0, 1/2, 0, 0, 0, -1/2, -1/4, 0, 0, 1/8, -1/4, -1/8, 0, 
  1/2, 3/2, -1/2, 0, -13/8, -1/4, 0, -3/2, 1/8, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 
  0, -1/4, -1/16, 1/16, 1/16, 3/16, 0, 1/16, 0, 1/4, 3/4, -1/4, -3/16, 7/16, 
  -3/8, -3/16, -1/4, -3/4, -3/8, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1/2, 0, 0, -1/2, -1, 0, 0, -2, 0, 0, 3/2, 0, 
  0, 0, -3/2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, -10, 
  -13, 0, 10, 12, 1, 12, 0, 0, -5/2, -13, -6, 0, -48, 0, -1/2, 0, 0, 0, 0, 
  1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 
  -11/2, 0, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -5/2, -1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 
  0, 0, 0, 3/2, 0, 1, -1, 0, 0, -95/24, -1/8, 5/6, 49/24, 0, 41/24, -1, 0, 0, 
  1, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -3/2, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 0, 2, 5/4, 2, -3, -6, 3, 3, 
  53/4, 79/4, -3, -45/4, 0, 79/16, 79/16, 0, -79/8, 0, 69/16, 0, -14, -69/16, 
  -79/16, -79/16, 69/8, 0, -79/16, 0, 59/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -13/4, 3/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -2, -1, 3/2, 
  -1/2, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13/3, 0, -19/12, 43/12, 0, 
  -25/12, -7/4, -1, 1, -2, 0, 0, 1, -3/2, 1/2, 0, -3/2, 0, 0, 0, 0, 1, 0, 
  -3/2, 0, 1, 0, -3/2, 9, -4, 55/16, -6, 159/16, 0, -37/2, -267/16, 11, 
  293/16, 0, 175/8, 271/16, -2, -409/16, -24, -101/8, -281/16, 26, 173/16, 0, 
  1/2, 0, 0, 1/2, -3/2, -11/2, 11/2, 0, -11/2, 0, -5, 1/4, 11/2, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1/4, 1, 3/2, 1/4, -1, 0, 0, 
  -1/4, -1/2, -1/2, -1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 1, 1/4, -1/4, -1/2, 0, 0, 
  0, 0, 4/3, 0, -1/8, 0, 1/4, 1/4, -1/4, -1/8, 9/8, -5/8, 1/12, 0, 0, 1/4, 0, 
  -1/4, 0, -19/24, 0, 1/12, 19/24, 1/2, -5/2, 1/4, -3/4, -1/4, 3/4, 1/4, 
  -1/4, 7/2, 3/4, -3/4, -1, 1/8, 0, 1/2, 1/8, -1/4, 0, -1/4, 1/8, -1/4, 
  -11/6, -1/4, 19/18, 43/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7/36, 0, 1/8, -3/4, 
  29/8, 0, 5/4, -3/4, 0, -1, 1, 1, 0, -3/8, 0, 0, 39/8, 0, 11/2, 6, 1/4, 
  11/2, 6, 3/8, 5/8, 3/2, -9/8, -1/4, -11/4, 1/2, 1/8, -9/8, 1/8, -1/8, 
  -19/8, -65/8, -7/8, 5/2, 65/8, -1/8, 69/8, 71/8, -55/8, -25/4, -15/8, 
  -15/4, 7/8, 3/2, -1/8, 0, -7/8, 0, 0, 71/8, 0, -25/4, 0, -1/8, 0, -41/8, 
  9/8, 0, 0, 0, -3/8, 7/8, -1/2, -7/8, -7/8, 1/2, 5/8, 0, 0, 0, 0, 0, 0, 
  1/16, 1/16, 0, -5/8, 0, 0, 0, 1/8, -5/8, 0, 0, 0, 1/2, 1/4, 1/4, 0, 0, 
  -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9/8, -17/8, -5, 
  -29/8, -3/4, 0, 0, 1, 1/4, -1/8, 7/4, 3/2, 0, 13/4, 19/8, -1/4, -21/8, 
  -3/4, -17/8, 7/8, 1/2, 3/8, -5/8, 0, -3/4, 0, 3/4, 0, 0, 3/4, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -7/4, -9/4, 0, 0, 0, -27/16, 0, 0, 5/4, 5/8, 
  -19/24, 9/8, 5/8, -1/3, 13/8, -9/8, -10/3, 17/8, 5/24, 7/4, -13/12, 15/16, 
  -19/24, -1/6, 0, 13/8, 5/4, -5/8, 4/3, -1/6, 9/8, -13/24, 1/4, 0, 0, 0, 0, 
  1/4, 1/2, -1/4, -3/8, -7/24, -19/24, -1/6, -13/24, 25/24, -7/6, -13/3, 
  -1/3, -23/12, 0, 31/12, 17/12, 17/12, 7, 3/4, -61/18, -8/3, 3/8, 1, -67/24, 
  0, 0, 0, 0, 0, 0, 1/2, 11/6, 1/3, 5/3, 5/8, -11/6, -7/6, -13/6, -16/3, 1, 
  71/18, 13/24, 0, 2/3, 11/6, 0, 7/6, 0, -11/6, -7/6, 0, -7/6, -7/2, 22/9, 
  5/3, 1/8, 0, 0, 1/2, 0, -1/4, 0, -1/4, 1/8, -7/6, -11/6, 0, 31/36, 5/3, -2, 
  -9/8, 35/8, -1/8, -13/2, 19/4, 25/4, -1/4, -7/4, 15/4, 1/8, 0, 17/4, 1/8, 
  -1/8, -55/8, 1/8, -1/2, 61/8, 19/16, 11/4, 49/4, 21/4, -21/4, 1/4, -7/8, 
  -139/8, -1/4, 7/4, 27/4, -15/8, -39/16, -1/2, -7/2, -9/8, 15/2, 3/4, -85/8, 
  0, 3/8, -63/8, -3/8, 1/8, 51/4, -1/8, 1/2, -149/16, -19/16, -11/4, -95/8, 
  1/2, 9/2, -49/4, 0, 1, 0, 1/8, 1/8, -169/16, 0, 45/8, -1/16, 1/4, -175/16, 
  5/8, 275/16, 0, -1/8, 235/16, 1/8, 3/4, 7/4, 1/4, -11/8, -9, 3/8, -17/4, 
  -1, -1/2, -23/8, -4, -7/4, 2, 4, 7/8, 71/8, 33/2, -1/8, -6, -7/2, 7/2, 8, 
  15/4, 7/4, -1/4, -7/4, 5/8, 0, -3/8, 7/4, 33/2, 21/4, -23/4, 3/2, -1/2, 
  5/8, 9/8, 31/8, -11/8, -9/4, -41/8, -37/4, 3/4, 2, -7/4, -27/4, -3, -7/4, 
  1/8, 5/8, 0, -1/4, 0, -3/2, -39/8, -31/4, 5/8, 31/8, 43/8, 3/4, -41/8, 
  15/8, -1/4, -65/8, -7/4, 5/8, 65/8, -3/8, 73/8, 71/4, -59/8, -25/2, 49/8, 
  -31/8, 3/4, -27/8, 15/8, -1/8, 0, 1/8, 0, -3/4, 0, 0, 0, 0, 0, 0, 1/8, 1/8, 
  -7/16, 0, 0, 1/4, 0, 0, 1/8, -5/16, -1/8, 1/16, 3/8, 1/16, -1/8, 1/4, 0, 
  -1/8, -1/8, -1/8, 0, 1/16, 0, 0, 0, 1/4, 0, -1/8, -1/8, 5/8, 1/16, 0, 0, 
  -9/8, 0, 0, 0, -1/8, 1/16, 1/8, 1/8, -21/16, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 0, 1/4, 0, -1/4, -1/8, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 31/8, 3/4, 
  -31/8, 1/2, -9/8, -9/2, -3/4, -1/2, -1/2, 5/8, 0, 3/2, 1, -3/2, -1/2, 1/2, 
  -3, -1/4, 1/2, 3/2, 7/2, 5/2, -3/4, -2, -3/2, 0, -1/2, 0, -3/2, -1/4, 1/2, 
  3/2, 1/4, 13/8, 0, 0, 19/8, 0, -13/4, -3/2, -17/8, 13/8, -3/2, 1/8, -31/8, 
  -1/2, 7/8, 0, 0, -1/2, -3/8, -1/2, 0, 0, 3/16, 0, 1/2, 0, -1/8, 1/16, 1/4, 
  1/16, -3/2, -1/4, 0, -3/16, 1/2, 5/16, -1/16, -3/16, 3/2, -5/16, 1/2, 0, 0, 
  0, 0, -1/2, 0, -1/4, 0, 107/8, -1/4, -123/8, 0, -15/2, -1/2, 0, 0, 0, 3/4, 
  5/16, 0, 1/4, 3/8, 0, -7/8, -7/8, 7/8, -5/8, 0, -15/2, 0, 0, -1/8, 0, 0, 
  5/16, 1, 1, 0, 0, -1, -1, -2, -1/2, 1/2, 1/2, 1/2, 1, 2, 1/2, -1/2, -1, 
  1/16, -11/8, -19/16, -1/8, -7/16, 9/8, -3/32, 53/32, -43/16, 77/32, 43/16, 
  -1/16, 29/32, -57/32, 7/8, 3/16, 0, -53/32, 0, 43/16, -5/8, 0, 1/8, -1/8, 
  3/32, 0, -53/32, 43/16, -65/32, 0, -17/8, 7/8, 0, 1/2, 1, 7/8, -7/8, -1/2, 
  0, -13/2, -99/8, 1/8, 1/8, 191/16, 0, 107/24, -5/2, -1, -407/12, 5/16, 
  617/24, 1/2, -71/24, 3/4, -14/9, -3/2, 1/8, -31/24, 0, 1/2, 17/6, 3/2, 3/2, 
  -1, -1/8, 3/16, 0, -7/8, -13/8, 1/8, 1/8, 5/16, -3/8, 35/48, -107/24, 
  -21/8, -9/4, 1/8, 5/16, 7/2, 33/16, -7/16, 13/16, 143/24, 3/4, -503/144, 
  -3/2, 1, 2, -3/4, 0, 1/2, 1/2, 0, 1, 3/8, -5/4, 11/8, 45/8, 11, -1, -5/8, 
  -95/8, -3/8, -11/3, -107/12, -15/8, -1/8, 9/8, 3/16, 449/12, 9/4, -1249/48, 
  1/16, 107/12, 0, -19/16, 3/2, 0, 5/2, -3/4, -3/4, 1/4, 9/8, -1/8, -15/8, 
  11/8, 5/4, 91/8, -9/8, 1/2, -5/8, -93/8, 0, -5/2, -49/6, 0, 0, 1/4, 
  -367/24, 883/24, 7/4, -1255/48, -5/8, 107/12, 3/8, -31/16, 0, -1/4, 1/8, 
  -71/16, -3/4, -33/16, 253/64, -2, -9/4, 211/32, -3/8, 3, 65/8, 1/4, 0, 
  73/8, -23/16, 941/64, -11/8, 125/64, -51/32, 7/8, -99/32, -7/4, -27/8, 
  121/32, -3, 27/8, 141/16, 17/8, -15/16, 3/16, 73/8, -43/16, 345/64, -45/64, 
  1/4, -29/4, -99/32, -1/8, 57/8, -25/32, -9/8, 27/8, -85/16, 17/8, 15/16, 
  45/16, -239/16, 29/4, -75/8, -11/8, -13/16, 1129/32, 101/16, -73/4, 1, -1, 
  -1/8, 1/8, -2, 11/4, 3/4, 11/8, -27/4, -3/8, -2, -25/16, -1/8, 77/16, 
  15/16, -47/16, 9/16, 3/8, -23/16, -3/2, -59/32, 0, 1, -15/32, -17/16, -1/2, 
  -15/16, -1/8, 1, 0, -1, 5, -3/8, 1/8, 1/4, -1/8, -11/16, -15/16, 9/8, 
  149/32, 1/8, 1/8, 193/32, -3/2, -3/8, -87/32, -3/8, 5/8, 3/2, 1/2, -63/32, 
  15/16, -1/2, 81/32, -15/16, 0, -9/16, -9/8, 3/32, 0, 5/2, 11/2, 0, 1, 3/8, 
  -55/8, -3/8, -11/8, -93/16, -27/16, -21/16, 137/32, 65/16, 193/32, -9/16, 
  -45/16, -5/16, -111/32, 0, -13/16, -3/2, 3/2, 15/16, -9/16, -15/16, -15/16, 
  -5/8, 19/32, 0, 1/8, 5, -3/8, 1, 3/8, -59/8, -3/8, -1/2, -47/32, -27/16, 
  -1/2, 121/32, 0, 27/8, 193/32, -7/16, -39/16, 21/8, -135/32, -3/4, 3/16, 
  -3/4, 1/16, 1/8, 0, -1/16, -7/8, 0, 3/4, 1/8, 0, -3/8, 1/2, 0, -1/4, -1/8, 
  -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 3/16, -5/32, -5/32, -1/16, -7/8, 0, 
  -5/16, 0, -27/16, -21/16, 9/16, 27/16, 21/8, 0, 0, 0, 1/2, 1/8, -5/32, 
  -1/2, -1/16, 1/8, -7/8, 0, -1/4, 0, -31/16, -43/32, 1/2, 13/8, 3, 0, 0, 0, 
  0, 0, -1, 0, 1/4, 1/2, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 
  0, 0, 0, -1/4, 1/8, -1/4, 3/2, 0, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0, -11/32, -1/2, 11/32, 1/8, 0, 7/32, 
  -1/8, 1/2, 3/2, -1, -3/2, 1/2, -7/8, -3/2, 7/8, 3/8, -3/2, 3/2, 3/2, -3/4, 
  -2, -27/8, -5/4, 17/16, 13/8, 15/16, -1/2, 0, 1, -5/32, 89/32, -1/8, 1/2, 
  -1/4, 1/4, -3/2, 0, 3/4, 1/4, -1/4, 3/2, 1/8, 1/4, 13/8, 0, 3/2, 33/8, 
  -9/16, -7/8, -15/16, -1, -7/8, -139/32, -75/32, -61/16, 3/4, 71/32, -3/4, 
  13/8, -67/8, -1, 5/4, 3/8, -9/8, 65/8, 1/2, -5/4, 3/4, 3/4, -3/4, 1/2, 
  -75/32, 0, 0, 75/32, 0, 0, 0, -1/2, 0, 1/2, -1, 59/32, -1/4, -1/2, -3/2, 
  1/2, 2, 3/2, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 1/4, 55/32, 0, -11/8, -9/8, 7/8, 
  -1/8, -5/8, 1/8, -31/4, -1/8, -1/2, -3/2, 0, 1, 3/2, -1/2, 3/8, -1/8, 
  -13/8, -1/4, 5/16, 3/2, -3/2, 1/8, -9/4, -3/8, 0, 21/16, -7/16, 15/16, 
  27/8, 0, -1/2, 77/16, 0, 1/8, 1/2, 1/2, 3/4, 1/4, -1/16, -1/4, 0, 13/16, 
  -5/16, -1/16, -1/4, -1/2, -5/4, -3/4, -3/16, 3/16, -1/4, -5/16, 0, 1/4, 
  1/2, 3/4, 3/8, 1/2, 0, 1, -1/2, 3/4, 1, 1/4, -7/8, -5/16, 1/2, 1/4, 5/8, 
  1/2, 121/32, -3/8, 1, 3/8, -1/8, -1/2, -3/8, -1/4, -1/8, 0, 0, -9/8, 
  -77/24, -3/4, 5/8, -11/8, 1/2, 3/16, -1/16, -1/8, 809/48, -3/4, -19/16, 
  19/16, 19/16, 0, 9/16, 15/16, 1/8, 1/8, 205/48, -3/4, -9/16, 7/8, 3/16, 
  3/16, 21/16, 3/16, 1/16, -11/16, 3/4, 3/8, 3/16, -15/32, 3/32, -13/32, 
  41/8, 73/8, -55/32, 75/64, -111/64, 1/8, 3/8, -1/4, -35/32, -3, -91/32, 
  -35/32, -15/64, -51/64, -1/4, 3/2, 1/8, 49/32, 59/32, 1/8, 29/8, 15/32, 
  1/4, 1/4, 17/16, 257/32, 59/8, -991/64, -501/64, -1/16, -35/32, -3/32, 
  73/8, -173/16, -631/64, 709/32, -77/16, -103/32, 121/8, 39/4, -15/32, -2, 
  -9/4, 1673/64, 93/8, 3/16, 33/8, 191/16, -3359/64, -285/32, -37/4, 9/4, 
  3/8, 219/8, 1/2, -43/32, 0, -1/2, 47/32, 0, -1/16, -1/8, 1/16, -7/16, 0, 
  1/4, 19/8, 0, -1/4, 5/8, -1/16, 0, -3/16, 1/2, -1/16, 0, -1/2, 3/32, -5/8, 
  1/4, 39/16, -1/4, -1/4, -5/8, 1/16, 1, 91/32, 0, 5/8, -1/16, 0, -3/8, 1/16, 
  -5/16, -1/8, 3/4, -27/16, 3/4, 3/16, -13/8, -3/16, -25/16, -9/16, 15/16, 
  7/16, -1/16, -3/4, -3/8, 9/16, 0, 0, -1/32, -1/4, -5/16, -1/32, 5/16, 0, 
  -1/16, -1/16, 0, -1/4, -1/32, -1/8, -1/16, 0, -5/8, -43/32, -1/2, 3/4, 
  3/16, 1/2, 1/32, 11/16, 0, 17/16, 3/8, -3/8, 0, 0, 0, -1/4, 0, 0, 0, 0, 
  1/2, 1/4, -1/16, 1/16, -1/16, 1/16, 1/16, 0, -1/4, -3/4, 0, 1/4, 1/16, 
  21/16, 1/16, 1/16, 3/4, 3/16, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 1/4, -3/4, 0, 
  1/4, -57/32, 0, -1/16, -1/4, 1/16, 47/32, -1/16, -1/4, -3/4, 0, 0, 3/4, 0, 
  -1/4, 0, 3/16, -21/32, -11/16, 7/8, -1/8, 0, 15/32, 1/8, -1/2, -3/4, 1/2, 
  -3/4, 7/8, 3/2, 9/16, -3/8, 3/2, -3/2, 5/18, -1, 1/2, 0, 0, 0, 0, 0, 0, 
  -5/18, 0, 1, -31/12, 0, 0, 3/2, 0, 0, 1/2, 0, 1/2, 0, 0, -2, 0, -2, -1, 0, 
  0, 0, 0, 1/2, 1/4, 0, 0, 0, 0, 19/12, 0, 1, 0, -3/4, 14/3, -1, 0, 1, -1/2, 
  2, 21, 3/2, -5, 3/2, -13/2, 2, 2, 0, 0, 0, 0, -11/2, 0, 37/8, -35/8, 0, 0, 
  0, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, 3/2, 5, 0, 0, 0, -1/36, 67/12, 5/12, 1/36, 
  -5/18, 1, 67/12, -13/6, -5/9, 0, -35/36, 0, 7/4, 0, 49/18, -1, 0, 0, 0, 
  5/2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -31/12, -5/9, 0, 16/9, -1, 
  -14/9, 0, 0, 0, 0, 9/2, -23/2, 0, -17/2, 0, 4719/8, -327/2, 4805/8, -1, 
  -79/4, 1/2, 3, -79/8, 37/8, 79/8, 79/8, 0, 3/2, 6, -15/2, -79/8, 0, 79/8, 
  0, 16, -61/8, -9, -353/24, 2, 0, -5/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 
  6, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 6, 37/12, 19/6, 4, -5/2, -1, 0, -41/8, 7/8, 0, 0, 0, 
  -3/4, 0, 3/4, 16/3, -27/4, 8, -86, 22, 2, -3/2, 5/4, 5/4, 0, 0, 0, 0, 0, 0, 
  13/6, 0, 17/18, 0, 0, 49/18, 0, 2, 0, 0, 4, 0, 6, 0, 61/9, 2, 37/9, -49/18, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 61/9, -2, 64/9, 10/9, -2585/32, 40153/32, 
  11359/8, -10129/8, -715/8, -87/2, 0, 79/2, 157/4, 57/4, -79/4, 5/2, 0, 0, 
  7/8, 23/8, -115/8, 15/2, 371/24, -487/8, 2261/24, -2681/32, 2653/32, 
  -2557/16, -8751/8, 41/4, 137/4, -79/4, -309/4, -5/2, 0, 0, 169/8, 51/8, 
  -111/8, 51/8, -803/24, 0, 0, 0, 0, -14, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 
  0, 8, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -49/72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 1/4, -1/4, -1/2, -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, 11/4, -5/4, -1/2, 0, 0, 1/2, 97/24, -1/2, 
  -51/8, -23/8, 31/6, -1, 1, 0, 0, 0, -3, -13/3, 139/8, 7, 77/24, 1, 0, -1, 
  0, 0, 14, 113/96, -41/8, -7/4, -5/8, -3/2, -1/2, -7/8, 3/2, -13/6, 0, 1, 0, 
  -1/4, -13/8, 0, 47/8, 99/32, -47/32, -1/4, -1/8, 0, -1/4, 0, 0, -1/8, 0, 
  -1/4, 1/4, 0, 57/16, 0, -117/16, 1/4, 1/8, 0, 1/4, -1/2, 0, 0, 0, -1/4, 
  -27/16, 1/8, 27/16, 1/4, 25/24, -1, -1/4, 7/4, 31/8, 0, -10/3, 0, 7/8, 0, 
  -1/2, -7/8, -1/4, 1/2, 3/4, -61/36, 0, 1/8, 0, -1/8, -1/3, 1/8, -1/8, -1/2, 
  -1/2, -7/4, 0, 1/4, 0, -1/4, 7/3, 0, 1/4, 0, -1/4, 4/3, 0, 0, 0, 0, -1/2, 
  -3/4, 3/4, 0, 0, 0, 0, 3/4, 14/9, -1/2, -65/36, -10/9, 0, 14/9, 0, -14/9, 
  -14/9, -1375/8, 3013/32, -1/4, 9/2, 5/4, -79/16, -9/4, 0, 79/16, 1/4, -3/2, 
  15/4, 1/4, 75/16, -5/4, 0, 0, 0, -107/4, 49/16, 0, -2, -1/8, 1/8, -11/4, 
  -3/4, 3/2, -1, 0, 0, 0, 13/4, 0, 0, -3/2, 0, 7/8, 5/4, 0, 0, 0, 2, -4, 4, 
  -7/2, 0, 0, 0, 1, -3/8, 1/8, -1/8, -1/2, 0, 0, 0, -2, 3/4, 7/2, 7/8, 5/4, 
  0, 1/8, 0, 17/16, 0, 1, 0, 0, -3/2, 0, 0, 0, 3275/9, -325/3, -725/4, 
  -725/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/36, 
  0, 1/2, -2275/6, -5809/18, 6575/9, -2275/6, 0, 10025/36, 0, 0, 0, 2075/3, 
  0, 0, 0, -24323/144, -15/16, 0, 0, 0, 0, -11, 11, 0, -11, 1/2, -11/16, 
  -15/16, -37/8, -25/8, 439/16, 125/16, 0, 0, 0, 0, 0, 1/8, -1/8, -1/4, 0, 0, 
  1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2009/108, 
  -173/48, -578/27, 0, 0, 0, 2585/4, 386, 41/8, 5/2, 151/12, -127/2, 173/96, 
  37/16, -73/72, 95/24, 7/8, 95/24, 79/16, -203/48, 95/24, -107/18, 0, 0, 
  53/8, -9/32, 5/32, 43/8, 0, 0, 0, -17/48, 0, 197/48, 0, 0, 129/32, -25/12, 
  -3/4, -31/6, 3/2, -323/48, -133/24, 17/6, 19/24, -2585/4, 58577/24, 2699/2, 
  -773/2, -31217/12, -2585/4, 0, -386, 0, 0, 19045/44, -386, -3738/11, 
  -3466/3, -2705/2, 1/2, 31277/12, -6869/6, 0, 1/2, 4831/3, 1, 0, -19089/44, 
  1, 26491/44, 30, 326/3, -5/2, 59/6, 41, -68951/960, -39841/480, -35, 
  108311/960, 27, -40263/640, -55/4, -85, -179/4, -35, 551/6, 116, 39, 
  -2611/12, -3, 697/12, 23/4, 36, -199/3, 23, 463/8, 79/8, -27, -13993/1920, 
  -79/12, -7/12, 31/8, 32/3, 215/24, -27/8, 1, 1349/288, 79/36, -283/48, 
  143/24, -5/16, 89/12, 271/72, -1/8, -37/24, 1/2, 59/8, -163/18, 13/4, 1/2, 
  37/8, 1, -175/24, 5/4, 0, -3/16, -21/16, 0, 0, 0, 13/8, 2, 9/8, -31/8, 
  -95/16, 11/4, 2, 1/2, -31/8, -85/16, -1/4, -1/4, 0, -1/2, 1/4, 0, 0, 0, 0, 
  0, 0, 0, -5/8, -21/8, 0, 23/8, 2, 0, 0, 0, 0, 0, 1/8, 0, 1/4, -3/4, 1/8, 
  -1/2, 5/16, 3/4, 889/96, -97/12, 3/2, 49/16, -31/24, 11/2, 5/12, 25/4, 
  23/8, 13/12, 1/2, -5/8, -13/12, 0, 21/8, 21/8, -1/2, -83/24, -1/2, -1/2, 
  1/2, -1, -8/9, -1/2, 8/9, 61/36, -3/4, -244/9, 97/36, -1/4, 1/16, 7/4, 3/2, 
  0, -2, -31/12, -131/36, -3/16, 0, -19/72, 0, 0, 0, 0, 6, -1009/36, 1009/36, 
  1081/36, 1, -25/9, 0, 7/9, 16/9, 5585/72, 533/24, -5/2, 5/4, 1871/18, -2, 
  1/2, 5147/72, -61/36, -3/4, -23/36, 3/4, 7145/72, -97/36, 30515/288, 0, 
  -1103/32, -1/2, 1, 23/36, -3/4, -109/4, 29/36, -15/8, 73/72, 0, 53/72, 
  -73/36, 11/8, -1/8, -23/4, 7/8, 179/36, -11/4, -3/16, 0, 13/8, 1/8, 1/2, 
  -1/16, 5/8, 0, 1/8, 9/16, -1/16, 9/16, -3/4, -5/4, 1/4, 5/4, 1/36, -7/4, 
  -23/16, -3/4, 5/4, 173/72, 0, 1/2, 0, -1/2, 11/3, 0, 0, 0, 0, 0, 0, 0, 
  -7/6, -7/4, -1/4, 7/4, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, 3/4, -1, 1/2, -937/36, 
  7/2, 1009/36, 955/36, 146/9, 3/2, 4453/72, 559/72, -1/2, 17/9, 0, 3845/36, 
  -95/36, 13/4, -7/3, 1/2, 5753/72, 1391/72, -7/2, -53/4, 0, 2231/18, 25/2, 
  35/12, 28/9, 1, -121/36, 29/2, 1161/16, -9/2, 41/2, -27/8, 23/8, -159/4, 
  -73/8, -469/8, -593/8, 191/4, 597/8, 51/4, -1/4, 627/16, -44, 0, 0, 79/2, 
  1/4, -121/3, -41, 26353/64, 549227/576, 58769/96, 5937/16, -46205/96, 
  -16679/24, -118727/48, 61009/12, 12103/96, 81541/288, 3512233/1152, 
  140065/192, -7449/8, 1713, -940739/1152, 57/2, -117071/32, 3803/48, 1355/8, 
  -23519/192, -4943/8, 562781/192, 33253/48, -16459/16, 965897/1152, -9/4, 
  123/2, -177/2, -295/8, -123/4, 775/8, 177/4, -775/8, -375/8, -123/4, 98, 
  177/4, -100, -69/8, -33/8, -443/16, 87/2, 447/16, -103/8, 459/8, 1753/16, 
  -73, -1757/16, 265/8, 0, -97/16, -2, 129/16, 0, 0, 185/4, 0, -20, 0, -11/8, 
  20, 0, 0, 0, 0, -215/16, -331/8, 34, 231/16, 0, -1, 0, -253/4, 1, 0, 133/8, 
  0, 169/8, -135/8, 889/8, 4205/48, -275/6, -2201/16, 1237/24, -1891/48, 
  -739/8, 1055/48, 1849/96, -59/12, -4069/24, -8947/96, 2599/16, 3919/24, 
  1371/16, 9931/48, -3305/32, -10475/48, -5471/24, -1873/16, -2099/48, 
  9407/48, 445/3, 2957/48, 55/192, -7, 0, 7, 0, -7, -1/64, 0, 0, 0, 11/2, 
  -37/8, 5/4, 11/2, 0, 0, 0, 221/8, -221/8, -285/8, 7/8, -65/8, -17/2, -1/8, 
  2, -2, 0, 2, -2, -5, 21/64, 0, -1/4, -2, 1/64, 33/16, 55/192, -33/16, -2, 
  1/64, 15/8, 55/192, -15/8, 1, -1/4, -7, 5/4, 11/2, 5/4, 5/64, 0, 1, 5/4, 0, 
  1/16, -1/16, 0, 0, 0, 0, 0, -5/4, -19/4, 0, 0, 0, 0, 11/2, -7/4, -11/2, 0, 
  0, 0, 0, 0, 0, 0, 0, 5/4, 19/4, -1, 4, -1/4, 1, 155/4, -155/4, -155/4, 0, 
  -521/64, -1/2, -113/4, -15/2, 2, 8, -33/4, 101/8, -917/32, 29/16, 195/8, 
  -31/64, -33, 47/16, 5/2, 13/16, 0, -15/16, -1/16, -7/8, -19/16, 169/16, 
  1/8, -2, -5/16, 10, 1/8, -29/16, -5/16, -3/16, -5/2, 0, 0, 0, 0, 1/2, 0, 0, 
  0, 0, 1/2, -13/16, 2, 1/2, 1, -1/2, 0, 0, -15/16, -1/4, -1/16, 1/2, -7/8, 
  -19/16, 3/16, 1/8, 13/16, 37/16, 1/16, 0, 0, 0, 0, 0, 0, 0, -3/2, 0, -1/4, 
  1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/16, 1/2, 0, -1/2, 0, 0, -11/8, 71/8, 
  -3/8, 0, 0, 0, 907/192, 75/16, 0, -7/16, 0, 0, 0, 83/16, -31/8, 73/144, 
  1083/4, 17/12, 1/4, -11675/36, 0, 0, -355/4, 265/12, -1075/12, 239/12, 3/4, 
  0, -1691/24, -1651/24, 0, 177/2, -67/2, -45/4, 5023/72, 137/12, 7, 163/8, 
  -181/16, -163/8, 69/16, -157/8, -163/8, 115/16, 87/8, -111/8, 0, -31/8, 
  49/4, 9/8, -19/36, -275/72, 1841/144, 1/4, 6641/36, 0, -3/4, 1/2, 1/2, 
  93/8, 51/8, -57/2, -51/8, 135/8, -169/4, -51/8, 153/4, 489/16, -107/8, 0, 
  -35/8, 235/16, 9/8, -1/2, 17/8, 5/4, -17/8, -3/4, -2, -51/8, -13/2, 495/16, 
  -5/4, 0, 3/2, 225/16, 9/8, -5/16, -39/8, 15/16, 3/16, -13/16, 77/16, 1/2, 
  61/24, 0, -1/4, -7/16, -1/4, 43/6, -7/8, -7/8, -29/12, -179/144, 0, -10, 
  737/144, 391/24, 389/48, -3/8, 85/36, -7/16, 907/192, -73/6, -1411/144, 0, 
  -47/36, 0, 0, 173/36, 0, 23/3, -3/8, 139/36, -7/16, -151/48, 955/192, 
  61/16, -1609/144, 1/2, 0, 0, 0, 0, 5/8, 0, 0, -1/8, 0, 0, 0, 0, -63/8, 
  -1/4, -1/4, 0, 0, 0, 0, 61/4, 0, -61/4, 0, -49/4, -61/8, 181/8, 7, -489/16, 
  0, 141/4, 121/8, 0, 0, 0, 0, -61/8, 0, 7, 0, 0, 31/4, 0, 1/4, -1/4, -1/2, 
  -1/2, 1/4, 1/4, 1/4, -77/48, 2009/72, -2009/72, -109/48, -95/24, -2009/216, 
  4/3, -289/9, 289/9, 289/27, 0, 0, 0, 107/144, -991/108, 203/144, 29/24, 
  2231/216, -15/8, 95/48, 41/32, 439/96, -11/32, -1/12, 17/16, -71/32, 
  -3085/288, -463/144, 35/16, 451/288, -1/4, 0, 701/192, 61/16, -701/192, 
  -61/16, 1/4, 0, 11/8, 0, -1/4, -11/8, 43/32, 9/32, 19/4, 37/96, -25/24, 
  -93/64, -1381/192, -39/32, -57/32, -193/48, 97/64, 3/2, 25/48, 64511/72, 
  -109/48, 10371/16, -6256/9, 18499/48, -1189/6, -5/4, 281/16, -8123/96, 3/4, 
  1163/48, 45/4, -227/48, 371/4, -97/6, -127/8, -87/32, -281/96, 97/32, 
  -121/48, 583/48, -5/3, 59/96, -5951/576, 843/64, 191/48, 103/96, -1291/288, 
  367/72, 281/48, -157/288, -53/48, 41/24, 17/8, 157/48, 17/12, 29/12, -5/2, 
  -403/96, 1331/72, -205/48, -143/48, -187/36, -101/32, -167/12, -57/32, 
  -163/48, 307/96, 49/48, -133/96, 377/64, 8375/576, 173/48, 443/144, -35/48, 
  13/72, 647/144, -439/96, -1/8, -913/96, -57/32, 59/16, 85/24, -23/4, 4, 
  345/64, 455/32, 85/24, 19/24, -469/96, -75/32, 6731/576, 25/144, -1/4, 0, 
  -11/128, -7/48, 11/128, 7/48, -27/16, 0, -1277/192, -103/16, 221/192, 
  111/16, 1/32, -1/8, -3/16, -31/32, 69/32, 0, 137/32, 1/16, -25/8, 231/32, 
  -23/32, 0, -1/8, 53/16, 1/8, -43/8, 69/32, 0, 137/32, 1/16, -159/16, 0, 
  283/32, 231/32, 0, 0, 0, 0, 0, 0, -31/16, 0, -15/8, -7/4, 1/4, -95/24, 
  7/32, -25/32, -53/16, 29/16, 43/8, -85/32, -25/16, 3/16, 55/32, -29/16, 
  223/16, 0, 0, 0, 0, 0, 1/2, 0, -7/8, 0, 0, 1/4, -3/4, 27/16, -335/32, 
  -19/16, -223/32, -5/8, 0, 469/32, 17/16, 1, 0, -145/32, 1/4, -27/16, -1/4, 
  7/4, 31/8, 127/12, 8, 7/4, 71/24, -137/32, 0, -5/6, 11/24, -7/4, 33/32, 
  83/48, 1/2, 11/24, 35/24, 443/48, -557/192, -49/12, -55/48, 305/192, -25/2, 
  5/16, -143/12, 1691/192, -1, -9/32, 85/96, 3/8, 53/16, 49/12, -43/8, 
  -15/32, -10/3, -27/16, 209/192, -85/96, 19/32, -7/2, 293/96, 1/32, -301/72, 
  4927/144, -8489/144, 31267/576, -1891/576, 23/8, -67/24, -1/32, 1649/96, 
  3/16, 0, -79/32, 565/48, 0, 0, 0, -23/8, 591/8, -79/8, 2123/32, 6983/144, 
  301/32, 9235/72, 103/18, -5287/72, -317/8, -661/8, 1481/72, 445/32, 718/9, 
  -869/72, 535/144, -433/144, 5/9, 29/36, -883/72, 2735/144, -487/72, 
  5341/144, -34891/576, -283/24, -6, 5299/576, -7/2, -49/18, 3/16, -217/144, 
  -1/6, 5/2, -9065/144, -851/12, -1/2, -26/9, 5873/192, -73/24, 1253/36, 
  103/24, 61/12, -28547/288, -31/12, -19/48, -1105/144, -7/6, -6043/144, 
  -10241/144, -217/3, 9353/144, -9985/192, 7601/192, -229/24, 17323/576, 
  -1/12, 3/8, -1099/16, -7/3, -5/4, -5345/72, 3/4, 37/36, -10223/144, 
  -307/48, 9317/144, -49/24, 8273/192, -1/6, 39877/576, -3/4, -335/32, 7/32, 
  435/32, -3/16, 0, -3/4, -1/16, 395/96, 3/8, -7/16, -1/16, 0, 0, 839/48, 
  5/32, -1693/216, -205/48, 1/8, -1/4, 0, 181/48, 0, 1189/216, 353/48, 
  -4333/288, -247/48, 4421/288, -83/32, -7/4, -5/16, -59/32, -35/8, -1/2, 
  -85/32, 7/16, 61/16, 1/8, 3311/864, 955/96, -4063/288, -107/6, 4313/288, 
  1/4, -3/2, -5/16, -5/8, -9/2, -3/8, -109/32, 7/16, 61/16, 1/8, 2449/108, 
  991/96, -4297/288, -431/24, 4097/288, 1/8, -5/8, -1/8, 5/8, -11/8, -1/8, 
  5/8, 47/72, 0, 0, -125/72, 0, 363/16, 0, 0, -47/32, -77/24, 1/4, 143/72, 
  -1079/48, 247/288, 0, -1/8, -11/4, -21/4, 0, -3/2, 3/8, -1/8, 1/8, 15/8, 
  45/8, 347/72, 7/24, -1085/48, -3/4, -1/8, -21/4, 5/8, 1/8, 1/8, -5/8, 25/4, 
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  -545/72, -113/4, -869/24, -59/36, 161/32, 1445/36, -5/4, 3/4, 119/6, 
  -65/32, -315/16, 185/32, 7/2, -5009/72, -47/4, 11/6, -13/4, -689/72, 
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  85/72, 0, 1951/72, 1/6, 0, -1655/36, 0, -215/8, -449/48, 1655/36, 135/16, 
  -1843/72, 1069/48, 5, -13873/72, -327/16, 57/2, 51/8, -5/2, -2, 
  -488327/1152, -531613/192, -2588701/576, -1483/2, 79/16, -188801/96, 
  290251/192, 32369/32, 331607/192, 217/4, -3/16, -53/16, 908267/192, 
  -785/32, 2696449/576, 645/2, -9/8, 39/8, -47/4, -1/4, 11, 15/4, -5/8, 
  59/16, -79/8, 301/8, 353/16, -45, -97, -17/8, 23/16, 17/8, 153/16, -79/8, 
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  -1/8, -5/2, -327/32, 9/2, 105/16, -51/8, 0, 5/2, 41/4, 42, -301/8, -52, 0, 
  20, 0, 165/16, 2, 643/16, 71/16, -199/8, -165/16, 0, -341/8, 0, 3727/192, 
  -37223/192, 163/64, 49/8, -1969/48, -6527/96, 6557/128, 10699/48, 
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  0, 167/16, 0, 0, -223/16, 0, -147/16, -1673/96, 145/16, 2579/288, -131/16, 
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  -109/16, 7/16, -1749/32, 4, -355/32, -7/16, 349/32, 391/32, 5/16, -9/32, 
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  -22297/1152, -983/96, 11/8, 49/48, -65/18, 0, -6077/384, -437/36, 1241/96, 
  119/12, 11509/1152, 13/64, 67/96, -23689/1152, -971/96, -1153/96, 61/48, 
  -329/72, -1/24, 1733/288, -6053/384, -9/16, -781/72, 1241/96, 7/2, 
  11581/1152, 13/64, -35/32, -23725/1152, -43/32, -413/32, 61/48, -65/18, 
  -1/24, -683/36, -6161/384, 677/96, -841/72, -205/48, 0, 0, 0, 159/8, 0, 
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  7/4, -5/8, -381/16, 3/8, -185/8, -127/4, 397/16, 111/4, -75/16, -9/4, 
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  47/32, -11/32, -19/16, 215/16, -603/16, 0, 459/32, 865/16, -309/32, 
  -245/16, 7/16, -1559/32, 13/8, -8, -1, 41/4, 17/2, 1, -3, -13957/1152, 
  -1/8, 15/32, 39511/1152, 55/32, 1229/96, -37/24, -22933/288, 55/12, 903/32, 
  1/32, -381/16, -3/32, 7/32, 9/32, 5/32, 361/16, -3/32, -15/16, 27/32, 7/16, 
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  1/16, 17/16, -1/16, -47/16, -11/32, 1/32, -323/32, 5/32, -3/16, 3/16, 
  21/16, 1, -29/6, 19/32, -211/32, -57/8, -41/32, -1/4, -1/32, 37/32, -1/8, 
  11/8, -13/16, -171/16, -135/32, -17/16, -117/4, -421/16, 3/16, 229/8, 
  173/8, 7/16, 117/4, -1/16, -157/8, -1/8, -8561/216, 55/12, 163/8, 557/48, 
  -1775/72, -1/4, -53/2, 3/16, 0, 173/8, 0, 61/2, -1/16, -79/4, -1/8, 
  -4783/432, 13/3, 469/16, 665/48, -1901/72, 0, 0, 2, 0, 0, 1/4, 0, 0, 0, 0, 
  0, 1421/48, -2389/96, -5233/288, 53/8, 0, 1/4, 531/16, -289/12, 5/4, 
  -6397/288, -3/4, 7/4, 26/3, -69/4, -31/18, -531/16, 1621/96, 4883/96, 
  811/96, -7/2, -10861/1152, -1/8, 15/32, 17821/1152, 55/32, -91/96, 
  -1055/192, -151/72, 13/3, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, -35/48, 
  -11/12, 0, 23/32, -65/32, 49/16, 19/48, 0, -2299/432, 4183/72, 1/4, 
  1645/432, 41/48, 151/48, 51/16, -4567/54, -19/54, 3/16, -2/3, 773/432, 
  -1/6, -83/48, -51/16, -407/216, 23/48, 0, -1067/36, 33/4, 0, -7/8, 1097/36, 
  -119/12, -5/8, 3/8, 1/2, 0, -189/8, 0, -869/36, 509/12, 5/8, -1/8, -531/16, 
  0, 1067/36, -15, -39/8, -11/4, 49/6, 3/4, 3875/72, 349/12, -71/48, -10/3, 
  25/4, 33/4, 0, 59/72, -27/8, 9/8, 9/4, 0, -13/4, -9/4, 0, 17/8, 0, -1/4, 
  -67/8, 0, -7/8, 103/8, 9/2, 3/4, 5/8, 157/8, -1/2, -1/2, 33/8, -1/2, -33/8, 
  0, 11/8, 1/2, -11/4, 11/8, 0, 1, 3/2, 713/72, 1/96, -9/16, -335/144, 
  -19/96, -13/16, -299/144, -1/8, -5/2, 1/3, -1657/288, -49/96, 2261/144, 
  -5/8, -5/12, 39643/2592, -37/96, -6109/288, 81/32, 1/4, -8/9, -1/96, 
  -767/144, 7/24, 13723/864, 17/4, -17/16, 0, 0, 0, -5/4, 173/32, 0, 23/16, 
  -29/4, 1/16, 15/4, 0, 309/16, 1/8, 0, 0, 0, 0, 0, -209/16, -49/16, -41/32, 
  511/32, 0, -177/32, 0, 0, 1/2, 0, -1/2, 0, 0, 0, 13/18, -3739/432, 445/72, 
  1/8, 0, -53/32, -1/8, 1/2, 3/2, -1, -3/2, 1/2, -7/8, -3/2, 11201/864, 3/8, 
  -3/2, 3/2, 3/2, 499/144, -397/96, 1/4, 3/32, -93/32, 43/16, -5/72, -1/4, 
  -1003/288, 128155/432, -1/8, -83/72, 0, -53/144, -24983/144, 106657/528, 
  -127363/864, 8089/18, 47/72, -14687/432, -201617/864, -41/144, 27521/96, 
  467/48, -50141/144, 36805/288, -1163/12, -1/4, 371/32, 875/96, -195/16, 
  61/32, -379/12, 1865/192, -755/32, 2041/192, 15/4, -27/8, -19/16, 1025/32, 
  -181/16, -3199/96, -179/96, -21/8, -201/8, 115/4, 22, -251/16, 141/32, 
  435/16, 461/4, -26549/1280, -10783/96, -21/16, -199/24, -2465/96, -63/16, 
  -1993/48, -1211/16, 9539/96, 1853/24, 1913/48, 29/16, 71/24, 0, -47/32, 
  -139/16, -143/96, 77/32, 189/32, -39/16, -359/48, 0, 129/32, -4513/576, 
  35/16, -1/4, 0, 23/8, 121/72, -65/16, -67/32, -7085/288, 9/16, -101/32, 
  263/32, 41/9, 9/16, -217/288, -7/32, -3/4, -13/16, 1/4, 0, 201/16, 11/128, 
  -205/16, 1, 7/48, 209/16, 0, 701/192, -217/16, 0, 16721/864, 317/48, 
  -1183/32, 53/16, 0, -259/96, 0, -15425/864, 149/24, 7897/144, -995/96, 
  -5147/288, -29/4, 0, 29/4, 0, 1, -29/4, 0, 0, 737/32, 165/16, 0, 965/32, 0, 
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  -1/2, 3/8, 109/32, 601/96, -3/4, -15/32, 43/48, -73/16, 11/16, 0, -207/32, 
  -331/96, -457/48, 1/8, 305/192, 1/4, 5/16, -3/16, 175/32, 141/32, 347/32, 
  17/32, 29/32, -535/96, -53/64, -3/16, 3/16, 81/32, -21/16, 0, 307/432, 
  -385/432, -1, 3/2, -11629/288, 343/216, -9/8, 199/216, 3/8, 1/4, -295/8, 
  7/4, 241/108, -127/27, -289/216, -5/8, -1, 3911/432, 3/8, 247/432, 2197/96, 
  -59/24, 775/432, 125/18, 9/8, -1067/108, 13769/432, -151/27, -6977/432, 
  365/144, 49/12, -9/8, -29/48, 3, -3/2, -119/32, 9/32, 9/16, -65/32, -3/16, 
  15/16, 1/4, -3/8, 5/2, 1/8, -381/32, 7/16, -1/4, 5/8, 1/4, -5357/432, 
  301/96, 19/16, 3643/432, 67/96, -11/16, -1175/48, -19/16, -5/48, -1/4, 
  -6487/864, 7/16, -7/16, -67/48, -15/4, 0, -25/8, 3/4, 3/4, 9/8, -7/8, 9/8, 
  -1/32, -11/8, -37/16, -7/2, 5/16, -15/4, 0, -17/16, 0, 0, 103/24, 43/12, 0, 
  -7/6, -1/2, 4205/216, -9869/288, 107/288, 1453/144, -25/24, -61/12, -1/8, 
  1243/144, 3/4, 0, 649/24, 61/24, -17/4, -3625/72, -2, 27/8, 19/8, 11/8, 
  1/8, -19/2, 0, 1369/96, 105/16, 187/32, -1/4, -1/8, -153/32, 1/8, -80/3, 
  119/8, -3/2, 69/8, 1/4, -1, -3193/36, -63/2, -667/48, 433/12, -343/24, 3/2, 
  -3/8, 1177/72, -13/8, -51/32, -29/64, 7081/3, 27/32, -227/64, 572075/576, 
  65/16, -2462125/1152, -5939/16, -2693/32, 1154255/1152, -1034231/1152, 
  -789497/1152, -3525241/1152, 898757/1152, -297/16, -3/4, -5/2, 3/4, 21/16, 
  -11/4, -1/16, -1805/32, 457/8, -217/8, 213661/192, -1227/64, -106391/96, 
  -9/8, 7/2, 575861/192, 615/32, -31205/12, -3, -564617/192, 119/32, 3137/32, 
  55/4, -214567/192, 907/64, 107141/96, -573149/192, -171/32, 250063/96, 
  562049/192, 341/32, 163/32, 207/32, -451/32, -555/32, 493/32, -559/32, 
  -221/16, -214603/192, 295/32, 213529/192, 15/16, -558329/192, 423/16, 
  41/16, 244093/96, -2, 17/8, 552869/192, -19/8, -67/8, -493/32, 17/2, -23/2, 
  212599/192, -1267/64, -105251/96, 556517/192, 33/16, -249199/96, 
  -541493/192, 295/32, 39/32, -967/32, 765/32, 1015/32, -3/32, 83/16, 
  -4687/128, 149/32, -3557/32, -67/16, -213235/192, 1055/64, 106697/96, 
  -65/16, 707/128, 3519/64, -558719/192, 6155/32, 62155/24, 125/16, -79/16, 
  553385/192, 13/8, -3/4, 1753/96, 3/2, -169/32, -223/16, -95/16, 33/16, 
  -2647/48, 15/32, 55/16, 21/8, 0, -503/32, -175/8, -3/2, -5/2, -1123/144, 
  7/48, 25/16, 215/144, 25/96, 15/16, -397/144, 29/8, 5/72, -1715/288, 
  -43/144, -209/36, 1/8, -31/72, -3007/1296, 19/18, -1/8, 1057/48, -245/36, 
  7/16, -5639/432, 1/24, -47/9, 37/72, -1339/108, -51/16, -3/16, 881/72, 
  21/8, -3, 53/8, 9/8, -67/8, 15/8, 17/8, -23/32, 0, -3/16, 19/8, -9/16, 
  -37/8, -1/4, 159/16, 1/4, 1, -9/8, -9/2, 1, -221/8, -1/4, 115/16, 153/32, 
  -89/32, 11/12, 0, -29/4, 3/4, -11/32, 3/2, 1/4, 29/8, -3/4, 3, 49/4, 5/4, 
  -1, -3/8, -2, -9/8, -7/8, -479/32, -77/16, -331/32, 3/4, 0, 135/32, 1/8, 
  -5/2, 19/8, -23/2, 1/4, 13/8, -2, -1/2, 131/8, 29/8, 13/4, 3/2, -37/8, -1, 
  85/16, 1/16, 1, -87/16, 0, -3/2, 0, 93/16, 0, 1877/54, 85/24, 15/16, 
  -643/24, 4099/144, 5/4, -229/16, 3/32, -57/16, -57/16, 3/32, 3/16, 12, 
  15/8, -13/8, 1/8, 287/16, 1/16, -115/32, -7/8, -3/32, 169/16, -61/32, 
  -3971/216, 449/96, 95/4, -367/32, 1/16, -71/24, -33/32, -19/16, -3, 
  -1703/72, 11/16, 3, 0, 0, 0, 0, 0, -1, 31/96, 0, -7/16, 61/48, 15/16, 25/8, 
  0, 25/24, 1/8, 0, 0, 0, 1, 0, -1459/48, 817/32, -41/18, -33/32, 1, 3, -1, 
  -433/96, -3, -7/3, -775/36, 0, 11/2, 4275/8, 9/4, -6475/36, 3/2, 0, 0, 0, 
  0, 0, 9/2, -5/6, -7/8, 0, 7/3, -43/8, 27293/44, 28487/66, -9/2, 0, -3/2, 
  -8351/72, -36809/44, -160081/192, 1, -81287/1920, -53/4, -41/4, 
  -81287/1920, 0, 1183/16, 0, 55/8, 0, -137/12, 0, 5, -5, 0, 0, 0, -183/8, 0, 
  9/2, 0, 0, 0, 148/9, -39/16, 0, 0, 5, 0, -1, -1, 0, -236363/96, -15/4, 0, 
  -1/16, 7/2, -2, 0, 1/16, -26375/36, -775/36, -28075/36, 19825/24, 19975/12, 
  24125/12, 3625/36, -57875/54, 5/18, -1, 13/6, 5/18, 0, -1, 0, 0, 13/6, 0, 
  6415/288, 43/4, 0, -529/36, -41/8, -9, -3/2, -2999/4, -721/36, -27259/36, 
  -6875/12, -24175/36, 1/4, 0, 30175/36, 30175/36, 4275/8, 0, 65375/108, 0, 
  -29375/36, -950/9, -46325/24, -5/18, 1, -279/4, -23/36, 0, -5/4, 0, -2, 0, 
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  0, -2083/96, 0, 0, 0, 59/16, 1/16, 35/32, 0, 0, 353725/198, -74721/704, 
  529/36, 49/8, -9, -197/3, -6437/6720, -18611519/20160, -5293/48, -1, -2, 
  -47/8, -181/8, 0, 97/6, 0, 1, 61/6, -31/6, -9/8, 239/12, 337/16, 0, 0, 0, 
  105143/36, 1, 2065779/3520, -2843921/792, -849731/396, -840149/396, 
  41369/704, 460549/3520, 110427/352, 19/3, 1031/12, 1883/8, 617141/264, 
  -11687/4, -73/18, -105203/36, -10087/4, -1576551/704, 3/2, 0, 155879/72, 
  155609/72, 12623/12, 0, 0, 2986, 0, 270473/352, 23/3, -48599/18, -2627/4, 
  -994063/792, 37057901/720, -57881963/4800, -8306251/3200, 2136677/6720, 
  27479/240, 9863/320, 25969919/20160, -83399/640, 227/4, -6893/48, 
  49649/128, -20534297/3200, -32266659/1600, 73453387/7200, -71473387/3600, 
  -18594607/1920, 73/2, 24, -1713/8, -1189/8, -175847/1920, 48, 0, -805/4, 
  -12, -23/4, 335173/1440, -234283/1440, 237347/2880, -306493/960, 
  112619/5760, -1999/96, -2353/288, -2137/288, 5/24, -585/32, -1/6, -7, 
  223/8, 29/8, 29/8, -479/32, 613/32, 0, 0, 21/8, 0, 59/48, 0, -7/8, -35/6, 
  11/2, -35/3, -25/6, -5, -83/3, 0, -253/16, -33/8, -33/8, 0, 0, 0, -389/96, 
  391/96, 811/96, 287/32, -207/32, 0, 0, 0, 3/4, 5/2, -7/8, -11/48, 0, -7/4, 
  0, -1/36, 25199/216, -5561/288, 0, -67/12, -245/18, -278/9, -28579/432, 
  86/9, -10499/432, -15395/432, -4, 0, -5/9, 25319/216, 0, 0, -5561/288, 0, 
  73/6, 278/9, -4991/48, -4, -25319/216, 25319/216, -25103/216, -26615/216, 
  -25319/216, 0, 0, 0, 5561/288, 0, 0, 319/12, -28/9, 971/6, -7/6, 983/6, 
  9899/144, 99/16, 497/8, -13/2, -169/16, 6, 1/2, 1/2, 69/8, -55/16, -1/16, 
  -601/16, -8, 229/32, -86/9, -14627/432, -19523/432, -12899/432, -15203/432, 
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  -163057465/5376, -714877831/5376, -180243/40, -5031401117/26880, 
  9568457/5376, -3465809/96, 3072839/32, 242243/32, 671/16, 17587/42, 
  99271/336, -11227/96, 15/4, 0, 12379/96, 3667/32, -731/16, -83701/1008, 
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  35/16, 0, 0, 0, 59/16, 1/16, -9/4, -10, 0, 0, 2, 3/2, 0, 0, 0, -8, 0, 
  59/16, -35/16, -59/16, -1/16, 74994523/31680, 1266843/176, 394501/44, 
  316829/99, 525917/132, 9/4, -17/8, -1, 3/4, -275/16, -6575/24, -9635/18, 
  22, 25157/24, 2311/12, -314, -71303/72, -46057/72, 44671/144, -47/12, 
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  13/4, -1/2, -39/4, 1/8, 12, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, -65/12, -230/9, 
  -10/3, 20/3, 644/9, 563/8, 27/2, -57, 779/24, -145/8, 13/32, 1/8, 55/192, 
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  -4231/192, 0, -21/2, 0, 693/8, 77/8, 509/8, 25/4, -457/8, -571/16, 
  -1553/48, 0, 21/4, 0, -577/8, 39/8, 3075/64, -3075/64, -3331/64, -907/192, 
  -137/16, 19831/576, 0, -19831/576, 9/16, -15/4, 3/8, 0, -907/192, -137/16, 
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  9/8, 3/2, -7/4, -11/8, 13/4, 9/8, -23/8, 5/4, 17/4, 0, 1/4, 0, 0, -5/8, 0, 
  1/2, 1/4, 0, 1/4, -5/8, -5/8, -5/8, 3/4, 7/8, 3/4, -1/8, 0, -9/8, -3/4, 
  1/4, 0, 1/2, 1/8, 7/8, -85/16, -31/16, 31/8, 41/8, 3/8, -1/8, 0, 3/4, -9/8, 
  -1/8, 1/4, 0, 1/2, 1/8, -3/8, -85/16, -33/16, 31/8, 43/8, 0, 0, 1, 0, 0, 0, 
  3/4, -3/4, 5/4, -1/4, 1/8, -9/8, 0, -1/2, 0, -1/2, 0, 0, 3/4, 1/2, 13/8, 
  1/4, -7/4, -1/4, -9/4, 27/8, 3/2, -19/8, -27/4, 0, 0, 0, 0, 1/4, 0, -3, 0, 
  0, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, 0, -1/2, 0, 1/8, -1/4, 0, 13/8, 
  -1/2, -3/2, 3/8, 0, -13/8, -1/4, -1/4, 27/8, -1/4, -27/8, 1/2, -17/8, 
  -27/8, 23/8, 19/8, -27/8, 27/8, 27/8, 1/4, -1/4, 0, 3/4, -1/16, -7/8, 
  -11/8, -17/16, 5/8, 1/8, 0, -1/4, -17/16, -3/4, -1/4, 3/8, 0, -5/8, -27/8, 
  1/8, 19/8, 7/8, 27/8, -7/8, -1/8, -1/8, 1, -1/8, 7/16, -5/8, 5/8, -13/16, 
  -1/4, 7/8, 1/2, -1/2, -5/8, 13/16, 1, -5/4, -1/8, -7/8, 1/2, 1/2, -3/2, 
  -11/4, -5/2, 7/4, -3/8, 3/2, 11/8, -1/4, 5/8, 15/8, -5/8, 1/4, -1/8, -1/2, 
  -3/8, 5/4, 3/8, -1, -1/8, -15/8, 1/2, 1/4, -1/4, 0, 0, -1/2, 0, 0, 5/4, 
  -3/4, -1, 1/4, -27/8, 1/2, 21/8, 27/8, 1/4, -1/4, 0, -1/4, -1/4, 0, 0, 1/2, 
  0, 1/8, 0, -1/4, 5/8, 1/4, -5/8, -1/8, -1/4, 3/8, -5/8, 1/8, -1/8, 1/4, 
  -27/8, 1/4, 27/8, -1/2, 19/8, -37/8, 3/8, 7/4, 27/8, -27/8, 17/8, 21/32, 
  -15/32, 0, -11/8, 7/16, 5/8, 21/32, 7/16, -3/4, -1/8, 0, -3/8, 0, 5/16, 0, 
  -1/8, -1/4, 0, 1/2, -1/2, -3/4, 0, 17/8, -1/16, -13/16, 1/8, -5/8, -3/4, 
  21/16, 0, -3/8, 3/16, 1, -1/4, 0, -7/16, -1/2, 5/8, 1/4, -13/8, 3/4, 0, 
  3/8, 29/8, -3/2, -11/16, -37/16, 5/16, -1/8, 1/2, -15/8, 5/2, 47/16, -3/8, 
  -1/4, -1, 3/8, 7/8, -19/8, -27/16, -47/16, 75/16, 1, 9/16, 59/16, -85/16, 
  -27/16, 9/8, 27/16, -33/16, -9/8, 1/8, 1/8, 0, -1/2, -1/16, 0, 3/4, -5/64, 
  -23/64, -1/4, 0, 3/4, 0, -1/2, -3/8, 3/16, 1/8, -1/2, 1/2, 1/8, -5/8, -3/8, 
  1/4, -5/8, 7/8, -1/4, 5/8, -5/8, 0, 1/8, -3/16, 1/2, -3/8, -3/16, -3/4, 
  3/8, 11/16, -1/16, 1/8, 0, -1/8, -1/16, 5/16, 1/2, -1, 27/16, 0, -3/8, 3/2, 
  -1/16, 1/4, -9/16, -5/16, -5/8, -1/4, 0, -1/8, 3/8, 19/16, -1/4, 1/8, 
  -15/16, 3/8, 7/8, -25/16, 27/16, 1, 11/8, -1, -23/16, -37/16, 5/4, 13/16, 
  3, -27/16, 33/16, -3, 3/8, -1/4, 0, 0, -1/4, 0, -3/8, 1/16, 5/16, 0, 0, 
  1/4, 0, -7/16, -1/4, 5/16, -1/8, -53/16, -33/16, 15/16, 1, 43/16, 0, -1/16, 
  0, 27/8, -33/16, -1/4, 1/8, -1/8, 0, 0, -1/4, 0, -3/8, 5/16, 0, -3/8, 1/2, 
  5/8, -3/4, -1/8, -1/2, 1, 0, 1/8, -27/16, 0, 1/4, -11/8, 59/16, 5/4, 
  -19/16, 0, 27/16, -27/8, 1/8, -1/8, 0, -1/8, -1/8, 0, 0, 1/4, 0, 1/16, 0, 
  0, -3/16, -1/2, 0, 13/16, 3/16, -1/8, -5/8, 0, -23/16, 9/16, 1/4, -1/8, 
  -27/16, 0, -3/8, 27/16, 0, -1/4, -1/8, 23/16, 0, -3/2, -7/4, 3/8, -3/8, 0, 
  11/8, 1/4, 1/4, -27/16, 1/2, -27/16, 17/8, 27/8, 9/16, -19/8, 27/8, -27/8, 
  0, 0, 2, -1, 0, 3, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -3, 0, 1, 0, 0, 0, 0, 0, -9/2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
  0, 0, 0, 2, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -10, 
  -17/4, -27/8, 27/8, 9/2, 0, 0, 0, 0, 0, 1/2, -1, 0, 0, -3, 3, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37/2, 9/4, 10, 17/2, -1/2, 0, 
  45/4, 3/4, 0, 0, 0, 0, 0, -9/2, -33/2, 251/8, -1/8, 5/12, 31/24, -13/2, 
  -95/8, 33/2, -17/12, -21/4, 12, -319/24, 5, 0, 0, -1/2, 15/2, 0, 0, 8, 0, 
  0, 0, 0, 0, 0, 0, 1/4, -21/8, 1/8, 21/8, 2, -1, 21/4, 15/8, 0, -9/4, 0, 0, 
  0, 0, 1/2, 0, 2, -1/2, -1, 0, 1/2, 1/4, 0, 3, 0, 2, 1/2, -1/4, 0, -1/2, 0, 
  -1/4, 0, 0, 0, -14/3, 8, 0, 0, 3/2, 1, -3, 2, -2, 2, 2, 0, 0, -9/2, 0, 
  11/2, 9/2, 0, 0, 0, 0, 9/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
  5/2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1/2, 17/2, 0, 0, -45/4, 
  45/4, 45/4, 9/4, 9/4, -3, -9/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -1/4, 0, 0, 3/2, -6, 3/2, 9/2, 10, 0, -3, -3, 0, -3/2, 27/4, -19/2, 
  3, -3/4, 0, -5/2, 0, -1/2, 0, 0, 3, -15/2, 0, 9/2, -9/4, 1, 3, -3/4, 9/2, 
  -19/4, -9/2, 0, -1/2, 1/2, 3/2, -1/2, -1, -4, 3/2, 17/4, -3/4, -1, 3/4, 
  -21/4, 0, 1, 1, -1, -5/4, -1, 7/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/4, 0, 0, 39/8, -59/16, -19/2, -25/48, 59/8, 25/24, 1/4, 1/16, 1/8, 0, 
  1/16, 0, -103/12, -13/2, 9/2, 1/2, 27/4, -5, 1/2, -15/2, -1/2, 0, 29/4, 1, 
  0, -43/8, -65/16, 17/4, -55/6, 251/16, 97/8, -45/16, 9, -5/8, -7/32, 
  -145/32, 9, 3/4, 15, 333/16, -281/96, -377/16, 247/48, -5/4, -77/32, 
  -65/32, -53/8, 73/48, 9/2, -111/16, 517/96, 32/3, 235/48, 9/16, 11/4, -5/4, 
  0, -3/8, -15/2, 0, -129/32, 39/8, -69/8, -15/4, 1/2, 1669/96, 199/24, -1, 
  0, -3, 0, -3/4, 0, 0, 0, 0, -9, 0, 0, -1/4, -5/4, -27/16, -3/16, 9/8, 1/32, 
  5/4, 189/16, -31/8, -81/8, 3/16, -3/16, -5/2, -51/16, -15/4, 3/32, 83/32, 
  -9/16, 87/16, 9/2, -5/32, -21/4, 7/16, -99/32, 67/32, -121/16, 77/32, 0, 
  -3/8, -15/8, 2, 0, 0, -1/8, 1/2, 9/4, 11/32, 15/8, -105/16, 0, 13/16, 
  73/16, 5/12, -1/12, -1/8, -1/12, -7/8, 5/12, -7/4, -7/12, -1/4, 7/12, -1/6, 
  -11/8, -13/8, -3/4, 5/12, 0, 5/2, -3/2, 3/4, 1, -7/4, 11/12, 1/3, 0, 7/8, 
  -1, -9/4, -23/24, -5/4, -1/2, 3/2, 0, -1/4, -19/16, -1/4, 1/4, -1/4, -1, 
  -5/4, -11/4, 0, -1/2, -1, 3/2, 0, -1/4, -19/16, 7/16, 1/4, -19/16, 1/2, 
  1/4, -1/4, 0, 3/4, 0, -3/4, 11/2, 0, 1/2, -3/4, -1/2, 1, 5, 0, 21/4, 27/4, 
  -15/4, -3/2, -9/2, 15/4, -31/8, 1/2, 15/4, 45/8, -13/8, 23/8, 27/8, 1, -2, 
  0, -1/4, 15/8, 1/4, 35/8, -33/8, 25/8, 27/8, 0, 2, -3/2, 0, -9/4, 0, -2, 
  -1/2, 9/4, 9/4, 5, 53/8, 1/4, 29/8, 15/8, 3/4, -1/2, -1, 1/4, 0, 0, -1/4, 
  1/2, -3/2, 0, 0, -1/2, -2, -17/2, 0, 0, 0, -7/12, -1, 3/4, -1/4, 3/2, 1/6, 
  3/2, -9/4, -7/4, 5/4, 3/4, -1/2, 1/4, -1/4, -5/4, -71/24, 2/3, 55/24, 0, 0, 
  -2, 0, 0, 2, 1/2, -3/4, 1/2, 739/240, 19/12, 1/2, 39/8, -3/2, -39/8, 1, 
  -741/80, -351/80, 2029/240, 1553/240, -1/2, -7/4, -2, -1, 0, 0, 0, -351/80, 
  0, 551/80, 0, 0, 0, 311/80, -1, 3, 5, 3/4, 73/4, 0, 0, 5/4, 5/4, 2, -67/8, 
  -5/2, -33/8, -1/2, 1/2, 113/8, -3/4, -13/8, -35/8, 0, 0, 6, 57/8, -9/4, 
  -9/8, -93/8, -57/8, -69/4, -57/4, 1/2, 45/4, 6, 3/8, -27/8, -6, 0, 7/8, 
  -1/8, 1, 7/8, 1, -3/8, -9/16, -1/2, 25/16, -7/2, 47/16, 21/16, 5/4, -2, 
  15/4, -9/16, -25/16, 3/4, 113/32, 45/16, -1/32, 27/16, -7/16, -161/32, 
  -21/8, 1/2, -3/8, 3/4, 69/32, 13/4, -3/32, 51/16, -7/16, -145/32, -21/8, 
  -5/4, 31/16, 5/4, 5/2, -59/16, 0, 0, 0, 0, 0, 0, 1, 3/2, -1, -17/4, -1/12, 
  0, 0, 0, 0, 1637/120, 0, -1337/120, 0, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 
  1/2, 0, 0, -91/24, -4/3, 1/2, 43/18, 0, 5/2, 27/8, -3/8, -23/8, 1/8, -9/4, 
  -27/8, 9/4, 0, -1/4, -2, 0, -3/4, 3/4, 1/2, -15/8, -2, 7/4, 0, -1/4, 0, 
  5/4, 1/2, 4, 0, 0, -1, -1/4, 1/4, -9/4, -27/4, -45/8, 17/4, 25/8, -1/4, 
  29/4, 3/8, 1, 17/4, 27/4, -75/8, -43/8, 0, -1/4, -1/4, -5/4, 0, -3/4, 5/4, 
  7/8, 1, -5/8, 7/8, -9/8, -9/4, -7/2, 11/8, 4, -7/8, 1/8, 1, 1/4, -7/8, 
  -33/8, 3/2, 33/8, -5/8, 9/4, 1/8, -47/8, -11/8, -1/4, 1/4, 1/4, -9/8, 
  29/48, -1/12, -77/32, -71/48, -7/24, 19/32, -7/8, 1/8, -15/8, -55/48, 
  577/96, 7/8, 7/8, 5/4, 7/24, -241/48, -9/16, 1/3, 10/3, 1/3, 11/8, -1/3, 0, 
  0, 0, 0, 0, 3/8, -153/80, -5/8, -1/8, 143/80, -1/8, 5/8, 29/16, -169/48, 
  -31/24, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, 0, -1/2, 0, 1/8, 
  -1/4, 0, 3/8, 0, -1/4, -1/4, 27/8, -1/4, -27/8, 1/2, -17/8, -27/8, 19/8, 
  -27/8, 27/8, 27/8, 13/48, 145/48, -1/2, 9/8, 15/8, -15/8, 1/12, 0, 17/24, 
  -7/12, -1/4, -2/9, 1/4, -11/12, 67/24, -5/8, -20/9, -9/8, 7/72, -17/4, 
  37/8, 95/24, 9/4, 1/4, 1/4, 7/4, 0, -5/4, -5, 5/2, 1/2, 127/32, -3/8, 1/4, 
  -11/16, 0, 7/4, -13/8, -15/4, 0, 7/4, 3/4, -1, -7/4, 3/2, 61/4, 11, -23/4, 
  -12, 5/4, -39/2, -2, 9/2, -9/2, -61/4, 13, 19/2, 0, 23/32, 91/32, 5/8, 9/8, 
  -33/16, -33/8, -9/8, -25/16, 1/8, -41/32, -11/8, -15/4, 1421/192, 7/32, 
  1/16, 39/16, 19/4, 433/32, -17/4, -57/32, -197/48, -3/2, 5/4, -621/64, 
  161/32, -5/2, -139/48, 55/32, 33/4, -163/48, -33/4, 1/2, 0, 7/32, 13/32, 
  -11/8, 41/32, -23/16, -17/32, -87/32, 1, 51/32, -19/16, 3/32, -1047/160, 0, 
  3/8, 541/80, -7/16, -15/32, 1/2, -967/120, 0, -173/48, 0, -5/16, 9/16, 0, 
  -51/32, 25/16, 175/32, 11/4, -1/8, -21/16, -7/32, 0, -9/32, -245/64, 23/8, 
  1/4, -15/32, 7/16, -35/16, 27/8, -1/32, -189/16, 3/4, 11/32, -33/16, 
  243/64, -3/32, 13/8, -81/8, 219/32, 29/8, 27/4, -1/2, -1/8, -15/8, 1/3, 
  31/16, 7/4, 0, 5/8, 1/8, -1/24, -4/3, -49/24, 1/2, 9/8, 7/12, -3/4, -31/24, 
  9/4, -35/48, 103/24, 15/8, -3/4, -11/3, -13/24, 19/8, -19/6, -65/8, -7/2, 
  85/24, 0, 5/4, -15/16, -9/8, 45/32, 17/16, 0, -39/32, -1/2, 5/4, 37/16, 
  -103/32, 0, 1/2, -7/8, 0, -1/2, 21/16, -1/4, 1/8, -9/16, -7/8, 81/16, 
  27/16, -51/16, -17/4, -1/4, 0, -1/2, 5/8, 7/8, -5/8, 0, 263/80, 3/2, 5/8, 
  -323/80, -3/8, 5/2, 11/16, 61/48, -53/24, 1/4, -29/24, 1/2, -1/4, 4/3, 
  -11/16, 25/12, -27/4, -25/16, 27/4, 1/4, 21/8, -5/2, 0, 19/8, 9/4, 11/8, 
  -71/16, -3/4, 3/2, -7/8, 1/4, 3/2, 0, -19/4, -13/8, 15/8, -1/8, 5/2, -9/8, 
  4, 103/16, -27/8, 25/16, 17/8, -9/16, -35/8, 3/4, -11/4, 3/4, 35/16, 27/8, 
  -27/16, 9/16, 0, 1, -1, 1/4, -39/64, -21/16, 1/2, 23/16, -9/8, 1/2, 5/16, 
  -1/4, 0, 1/4, 0, -3/4, 0, -1/4, -1/2, 1/2, 2, 1/8, -7/8, 0, 5/8, 1/4, 1, 
  1/8, -1/2, 1/2, -1/2, 5/4, -67/48, 7/12, 41/32, 157/48, -5/24, 17/32, -1/8, 
  -1/4, 5/2, -1/16, -641/96, -1/6, -1/8, -3/2, 1/8, 5/8, -35/18, -11/8, -1/3, 
  149/72, -5/8, -125/16, -89/16, 343/72, 99/8, 3/4, -143/40, -5/4, 143/40, 
  1/2, -1/2, 3/8, 1, -1/2, -71/12, 1, 1/2, -115/48, 269/60, -5/24, -7/4, 
  269/20, -17/8, 3/8, -139/16, 3/2, -27/16, -511/80, 13/16, 5/2, -13/2, 5, 
  43/8, -19/8, -119/8, 1/8, 15/8, 9/4, -7/8, -3, -3, 7/4, -19/8, -3/4, -1/8, 
  -2, -3/4, -41/8, -13/2, -9/8, 3/4, 9/8, 13/2, -3/4, -3/2, -63/8, -13/2, 
  -13/8, 7/2, 43/8, 15/2, -3/8, -33/8, 7/4, -2, -7/4, -7/4, 3/2, 13/16, 
  55/32, -23/16, -7/16, 93/32, 41/16, -3/16, -5/8, -25/16, 105/32, 15/16, 
  -11/2, 7/8, -15/4, -19/32, -23/16, 0, 105/32, 73/16, -23/16, 95/32, -15/16, 
  -141/32, -3/2, 21/32, -27/4, -65/32, 97/16, 27/4, 0, 0, 0, 0, 0, 1/4, 
  1987/720, 1/8, 1/2, -3607/720, -1/2, 3/8, 25/16, 3889/720, -25/24, -1/2, 
  1/2, 0, 0, 1, 0, -1/2, 27/4, -1, -27/4, 6, 0, 17/2, 0, -145/8, 0, 0, 0, 
  -15, 3/4, -9/2, -69, 0, -2, 0, 0, 0, 15, 0, -9, -69, -3/4, -14, 0, 19, 9/2, 
  0, 0, 0, -1, 0, 0, 0, 0, 7, 0, 15, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7/8, 0, 0, 0, 
  2, 0, 0, 1, -6, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 
  0, -11/2, 1/4, -64, 255/4, 529/8, -841/12, -162, 669/8, 1451/24, -2065/24, 
  15/8, -33/4, 0, 0, 0, 0, 63/4, -12, 57/8, 3, -41/4, -1, 7/4, 33/8, -1, 1, 
  1/2, 0, -139/8, 0, 147/8, 0, 0, 0, -3, 0, 0, 3, -47/4, 135/4, -91/4, -18, 
  671/20, 0, -785/12, 0, 0, 0, 0, -341/20, 0, 3851/40, -51/40, 5853/40, 
  561/40, -5853/40, -3169/20, -1073/24, 0, 341/40, 0, -6919/40, 177/8, 0, 0, 
  0, 0, 0, 67/24, -3, 29/2, -1, -593/16, -59, 29/2, 9/2, 3/2, -3/4, 0, 0, -2, 
  15/4, 9/4, 31/8, 135/16, -21/16, 261/8, 13/2, 3/2, 129/8, -20, -19/2, -11, 
  -13/2, -3/2, 0, -1/2, 23/8, -7/4, 1, -11/2, 0, 0, 0, 0, 34, 121/48, 349/12, 
  67/24, 0, 0, 379/24, 3/2, -1, -31/6, 0, 0, -23/4, 0, 0, -2, -121/48, 0, 
  -15/2, 1553/48, 0, 0, 0, 0, 0, 225/2, 5/16, -2361/16, -1623/16, -13/8, 
  -5/2, -135/2, -661/8, 37/4, 121/24, 293/4, 277/16, -817/16, -399/8, 113/8, 
  0, 0, 203/16, -3/64, 1163/128, 36, -1507/128, -125/64, 0, -239/128, 0, 
  183/128, 0, 0, 0, -15/8, -31/4, 0, 0, 0, 0, 0, -5/6, 3/8, 37/4, 0, 11/4, 0, 
  0, 0, -5/6, -7/4, 7/8, 0, 0, 0, 0, 11/2, 0, 0, 0, 27/4, 3/2, -3/2, 3/2, 0, 
  0, -161/4, -55/4, 111/2, -615/16, -185/8, -79/8, 123/4, -567/16, -3, 
  -177/16, -27/16, 107/8, -203/4, -85/16, -177/16, -27/16, 107/8, -905/16, 0, 
  0, 0, 0, 0, 0, 36, 495/8, 315/8, 1197/16, 81/4, -171/16, 171/8, 1189/16, 
  486/5, -1383/40, -1427/10, 0, 1107/10, 0, -1467/10, -457/20, -45/4, -35/16, 
  23/8, -21/4, -745/48, 0, 49/8, 633/32, 77/3, 11/24, -113/6, 313/16, -51/16, 
  -523/48, 39/8, 415/96, -13/8, 23/8, 191/32, -1/4, -11/16, -9/16, -3/4, 7/8, 
  29/16, 491/30, 137/12, 1047/80, 0, -5/6, 9/4, 27/8, -5/48, -39/16, 1/32, 
  -9/4, 9/4, -13/2, -45/8, 27/8, 15/8, -13/2, -9/8, -4, 13/12, 7/2, 27/8, 
  3/2, -31/8, 29/16, -5, 9/8, 55/16, -13/24, -1/4, 7/2, -1, 53/16, 45/16, 
  -233/16, 1, -1, -309/16, 0, -145/16, -67/8, 51/16, 309/16, 11, 0, 9/4, 9/4, 
  0, -11/4, 3/4, -3/4, -57/4, -127/12, 3/2, -9/4, 55/4, 13/4, 137/8, -16, 
  -3/2, 21/4, -39/4, -3/2, 21/2, 67/24, -5/8, 179/12, -49/8, -21/4, -12, 
  -43/4, 0, 101/8, 123/16, -313/16, -123/16, 79/16, -81/8, 0, 95/12, -1/2, 
  97/4, 499/48, -997/48, -22/3, 211/12, 1, -244/5, 11, -3, 244/5, 2, 43/10, 
  223/10, -21427/240, 973/240, 205/8, -17/4, -239/16, -1045/48, 1/2, 3/4, 
  15/4, 27/8, -21/4, -53/8, -3, -17/4, -79/8, 9/4, -3/4, 3/4, 3/4, 23/16, 
  3/2, -31/16, 0, 0, 0, 0, 0, 0, 0, -1, 7/16, 1/6, 143/16, -49/48, -25/6, 
  397/24, -365/48, -1277/144, 175/36, -31/2, 9/16, 15/4, -247/16, -1, 2, 
  -31/16, 37/16, 21/32, 15/8, -29/16, -439/32, -1147/240, 119/16, 125/16, 
  -143/12, -151/16, -41/16, 39/2, -37/4, -49/48, 181/16, -62/3, 103/96, 
  401/16, 383/16, -585/16, -61/4, -135/8, 151/16, -383/32, 315/64, -11/2, 
  -1465/96, 247/16, -79/24, -383/24, -1457/96, -2111/96, 57/16, -101/16, 
  -11/4, -51/16, 7/4, -21/8, 159/16, -381/16, 267/16, 99/16, -3/16, 3/4, 
  -5/16, 19/16, -148/15, -167/24, -1227/80, 661/40, -3/2, -27/4, 33/16, 
  203/16, -53/16, 23/32, 73/32, -17/16, 67/32, -181/16, 291/16, 361/16, 
  -77/12, -173/32, 9/4, 19/16, -9/4, 25/8, -367/48, 5/48, -15/32, 1137/80, 
  57/16, 9/8, -1667/160, 3/16, 153/32, -3047/960, 19/4, -11, 5833/160, 
  483/32, 117/32, -28073/960, -1655/96, -91/8, -633/16, -311/32, 187/16, 
  763/16, 129/32, 177/16, 87/16, -1121/24, -63/32, -565/12, 347/8, -395/48, 
  487/24, -65/4, 491/32, -503/64, -23/8, -195/64, -243/128, -251/128, 787/32, 
  2, -859/64, -81/16, 1339/128, -337/32, 1367/128, -199/64, 109/16, -5/16, 
  -3/2, 11/8, 149/16, 409/16, 53/16, 1047/80, 0, 0, 9/8, -3/4, 0, -49/24, 0, 
  7/12, 71/24, 65/24, 0, 0, -17/12, -7/6, 2, 1/2, 1/24, -2, 9/8, 7/2, -9/8, 
  0, 25/12, 27/8, 13/8, 14, -17/8, -117/16, -65/16, -7/8, 71/16, 11/24, 1, 
  13/8, 5/8, -11/4, 5/8, 3/4, -15/2, -5/4, 35/8, -47/8, 95/32, 369/16, 0, 
  -23/2, -199/8, -27/4, -671/32, -61/16, 157/4, 11, -441/16, 253/16, 131/4, 
  -569/32, -493/32, 2, -15/8, 33/8, 3, 353/30, -2, -623/30, -413/30, 7/30, 
  389/40, -13/8, -55/16, 27/8, -79/16, -67/16, -17/16, -241/20, -63/32, 4, 
  1723/160, -75/64, 471/80, 213/20, -797/40, -1217/80, -1/4, 77/5, 11/4, 
  -61/16, -1007/80, 23/8, 11/4, -11/4, 3883/240, 97/12, 59/16, -15/4, -95/16, 
  17/8, -87/16, -99/64, 1, 15/2, -9/16, -25/4, 383/32, -571/32, 3/2, 91/4, 
  1263/32, 763/32, -697/32, -175/16, 537/32, 85/8, 23/48, -1025/48, 4/3, 
  -605/24, -2009/48, -1/2, 549/20, -9/4, -9/2, -611/40, 3, 167/30, 3017/120, 
  -11/120, -739/40, -1321/60, 39/2, 65/8, 1607/120, 93/2, 0, -1029/40, -45/8, 
  -155/32, 387/20, -51/32, -2327/120, -139/15, -2399/96, -101/40, 29, 33/2, 
  -91, -4869/40, 9/2, 0, -69/2, 69/4, 0, 125/16, -213/4, 0, 0, -343/4, 
  1227/8, -609/4, 14649/40, 53/4, 0, 1293/32, 235/16, -415/32, 239/32, 
  -23221/160, 6221/120, 261/40, 593/32, -2653/24, -1691/64, 457/16, -1319/64, 
  91/8, 207/4, -457/4, -8299/120, -187/8, 2141/16, -139/8, 9/8, -21/2, 6, 
  -73/2, -135/16, 781/12, 285/4, 625/48, 1469/16, 389/4, -563/8, -555/4, 
  -261/16, 0, 1249/32, 3213/40, -293/8, -7127/80, -119/4, -1591/160, 793/24, 
  17801/960, -1523/96, -3313/128, -351/128, 2805/128, 311/8, -12729/128, 
  3141/160, -319/16, -7, 0, 65/4, 1171/48, -517/40, 10333/240, 475/48, 
  107/10, -27/8, 191/20, -9/8, -65/4, -1299/32, 491/16, 1253/64, 1/4, 
  -207/64, -17683/128, 3615/128, 18431/128, 457/24, -54185/384, -2519/16, 
  -8359/60, 12567/80, -8679/80, 3431/48, 237/32, -359/24, -2317/32, 149/32, 
  457/40, 3769/240, 109/4, -11/4, -5477/96, 1183/64, 56797/960, -2171/20, 
  -6207/32, 1599/16, 10871/80, 14439/160, -142219/320, 0, 0, -1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/8, -1/8, -1/8, 0, 1/8, 0, 0, 0, 0, 1/2, -1/2, -1/2, 1/2, 0, 0, 0, -1/8, 
  1/4, 0, -1/8, 1/4, 0, -1/4, -1/8, -1/4, 0, 1/4, 1/4, -1/8, 0, 0, 0, 1/8, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 0, 1/4, 0, -1/4, 0, 0, 0, 0, 
  1/4, 0, -3/8, -1/8, -1/8, 7/8, 0, -1/4, 1/8, 1/8, 0, 0, 0, 0, 0, -1/8, 0, 
  1/8, 1/8, 0, -1/8, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 1/4, 0, -3/8, -1/8, 1/8, 
  0, 0, 0, 0, 1/8, -1/8, 0, 1/8, 0, -5/8, 0, 3/8, -1/8, -3/16, 0, 0, 1/8, 
  -1/16, 1/16, 3/16, 0, -3/8, 3/16, -1/8, -1/16, 1/16, 1/8, 3/16, 5/16, -3/8, 
  1/4, -3/16, 0, -1/16, 0, 7/16, -3/16, -1/16, -1/8, 1/8, -5/16, -1, -3/4, 
  -3/8, 5/16, 3/16, 1/8, 7/8, 3/8, -1/16, 5/8, 3/4, -7/16, -5/8, 0, 0, -3/8, 
  -1/2, 3/8, 1/8, 0, -1/8, 0, 0, 1/4, -1/4, -1/8, -1/4, 3/8, 1/4, 0, -5/4, 
  -3/2, -9/8, 5/4, 3/8, 11/8, 11/4, -3/4, -9/8, 5/4, 3/2, -7/8, -5/4, 0, 0, 
  0, -1/2, 0, 0, 0, 3/8, 1/4, 1/8, -1/8, -1/4, 1/4, 1/4, 0, -1/2, -3/2, 1/2, 
  0, 11/4, 1/4, -9/8, 3/2, -5/4, 0, 0, -1/4, 0, 0, 0, 3/16, 0, 0, 1/4, 1/16, 
  0, -1/8, -1/8, 0, -1/8, 1/16, -1/4, -3/4, 1/4, 3/4, -7/16, 3/8, 3/16, 
  -5/16, 3/4, -7/16, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
  -2, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, 1, 0, 0, 0, 0, 0, -3/2, 0, 0, 0, 0, 
  -7/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 3/2, 0, 0, 0, 0, -1/2, 0, -2, 0, 0, 
  4, 0, 0, 0, 0, 0, -2, 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, 0, 11/2, 3/2, 5/2, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -3/2, 0, 0, -1/2, 0, 0, 0, 0, 
  0, 0, 1/4, 1/4, 0, 0, 1/4, -1/4, 0, 2, 0, 0, 0, 0, 0, 0, -3/2, 0, -1, 1, 0, 
  0, 13/8, 13/8, 0, -35/8, 0, 5/8, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 1/2, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 1/2, 0, -3/4, 0, 3/4, 1/8, 0, 0, -3/4, 1/2, 0, 5, 25/4, -5/4, -9/2, 
  0, 27/32, 27/32, 0, -27/16, 0, 25/32, 0, -3/4, -25/32, -27/32, -27/32, 
  25/16, 0, -27/32, 0, 23/32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9/4, -3/2, -3/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 7/4, -2, 5/4, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -13/8, -9/8, 0, -7/8, 0, -5/8, 7/4, 1, -1, 2, 0, 0, 
  -1, 1, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 3/2, 0, -1/2, 0, 3/2, 0, -3/4, 
  19/32, 3/4, 59/32, 0, -47/8, -179/32, 5/4, 189/32, 0, 93/16, 159/32, -3/4, 
  -209/32, 0, -67/16, -161/32, 3/4, 117/32, 1, -3/2, 0, 0, -3/2, 1, 6, -6, 0, 
  6, 0, 9/2, 0, -21/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/2, 
  3/4, 0, 0, -7/2, 7/4, 2, 0, 0, 0, 1/2, 1/2, 1/4, 1/4, -1/4, -1/4, -1/4, 
  -1/4, -1/2, 1/4, 1/4, 0, 0, 0, 0, 0, -9/4, 3/8, 1/8, 0, -1/4, -1/4, 1/4, 
  1/8, -31/24, 23/24, -9/8, 0, 0, -1/4, 0, 3/8, 0, 23/24, 0, -1/12, -23/24, 
  0, 7/2, -1/4, 7/8, -1/8, -3/4, 1/4, -1/4, -31/8, 1/4, 1/4, 3/8, -1/8, 0, 
  -1/2, -1/8, 1/4, 0, 1/4, -1/8, 11/12, 19/6, 1/4, -13/6, -17/8, 0, 0, 0, 0, 
  0, 1/8, 0, 0, 0, 1/12, 0, -1/8, 1/4, 2, -1/2, 3/8, 1, 0, -3/8, 3/8, 3/8, 0, 
  1/2, 0, 0, 23/16, 0, -25/4, -59/8, 0, -25/4, -59/8, 0, 0, -9/8, 3/8, 13/4, 
  13/4, -1/2, 0, -1/8, -1/8, -3/8, 2, 45/8, -9/8, -17/8, -45/8, 1/8, -27/4, 
  -49/8, 49/8, 19/4, 25/8, 21/4, -5/8, -3, 1/8, 0, -9/8, 0, 0, -49/8, 0, 
  19/4, 0, 25/8, 0, 23/8, -15/8, 0, 0, 0, 3/8, -7/8, 1/2, 7/8, 7/8, -1/2, 
  -5/8, 0, 0, 0, 0, 0, 0, -1/16, -1/16, 0, 5/8, 0, 0, 0, -1/8, 5/8, 0, 0, 0, 
  -1/2, -1/4, -1/4, 0, 0, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 21/8, 3, 57/8, 9/4, 0, 3/4, 0, -15/8, -1/8, 0, -35/8, -7/2, 0, -19/8, 
  -13/8, 11/4, 25/4, 7/4, 11/8, -15/8, -1, -1/4, 9/8, 0, 7/4, 0, -13/8, 0, 0, 
  -7/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7/4, 15/4, 1/8, 1/4, -1/8, 
  27/16, 0, 0, -2, -5/8, 23/24, -9/8, -19/24, 1/3, -13/8, 9/8, 5/8, -19/12, 
  2/3, -5/8, -2/3, -15/16, 23/24, 1/6, 0, -13/8, -5/2, 5/8, -5/8, 1/6, 0, 
  -1/3, -1/4, 0, 0, 0, 0, -1/4, -1/2, 1/4, 1/2, 7/24, 23/24, 1/6, 7/8, -9/4, 
  2/3, 11/3, 0, 3/2, -1/2, -11/12, -1/4, -11/12, -71/12, 1/2, 13/6, 9/4, 
  -3/4, 1/4, 9/4, 0, 0, 0, 0, 0, 0, 1/3, -1/6, 0, -1, -3/4, 1/6, 1/2, 11/6, 
  16/3, 0, -13/3, -7/4, 0, -1/2, -1/6, 0, -1/2, 0, 1/6, 1/2, 0, 1, 13/6, 
  -11/6, -2, -1/8, 0, 0, -1/2, 0, 1/4, 0, 1/4, 0, 1, 19/6, 0, -25/12, -2, 
  -3/4, -3/4, 19/8, 25/16, -7/4, 17/8, 33/16, -41/16, -5/4, 13/8, 0, 1/4, 
  17/16, -1/4, 1/8, -27/16, 1/4, 11/16, 33/16, -5/8, 11/8, 73/16, 21/16, 
  -13/4, -13/16, 11/16, -75/16, -1/8, 1, 43/16, -25/16, -61/32, 1/2, -2, 
  -15/16, 53/16, 5/8, -57/16, 0, -3/8, -15/8, 3/8, -1/8, 51/16, -1/4, -11/16, 
  -107/32, 5/8, -11/8, -17/4, 1, 21/8, -59/16, 0, -13/16, -5/16, 1/4, -1/8, 
  -83/32, 0, 7/4, 1/16, -1/4, -67/32, 7/8, 163/32, 0, 1/8, 109/32, -1/8, 
  -3/8, 1/8, -25/8, 7/8, 49/8, -1/2, 51/8, 1/4, 1/4, 7/4, 3/4, -9/4, 17/8, 
  -3/4, -31/8, -13/2, -55/4, -33/8, 19/4, 4, -5/2, -8, -15/4, 1/4, 1/8, -9/4, 
  -3/8, 0, 1/4, 5/4, -55/4, -45/4, 19/4, -1/2, 9/8, 7/4, -7/2, -11/2, 35/8, 
  5/4, 25/8, 33/4, -3/4, -1, 7/4, 13/2, 1, -1/4, -1/8, 7/4, 0, -1/8, 0, 1/2, 
  25/8, 37/4, -1/2, -1, -17/8, -3/4, 27/8, -11/4, 1/8, 45/8, -9/4, -3/8, 
  -45/8, 1/4, -7, -49/4, 51/8, 19/2, -19/4, 67/8, -3/4, -3/8, -5/2, 1/8, 0, 
  -1/8, 0, 3/4, 0, 0, 0, 0, 0, 0, -1/8, -1/8, 7/16, 0, 0, -1/4, 0, 0, -1/8, 
  5/16, 1/8, -1/16, -3/8, -1/16, 1/8, -1/4, 0, 1/8, 1/4, 1/8, 0, -1/16, 0, 0, 
  0, -1/4, 0, 1/8, 1/4, -5/8, -1/16, 0, 0, 9/8, 0, 0, 0, 1/8, -1/16, -1/8, 
  -1/8, 21/16, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/8, 0, 0, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -7/4, -41/8, -7/4, 41/8, 0, 21/8, 57/8, 0, 1, 1, 
  -1, 0, -9/4, -3/2, 7/2, 9/4, -1/2, 17/4, -7/4, -3, -2, -9/2, -9/4, 0, 0, 
  7/2, 0, 13/8, 0, 9/4, -7/4, -13/8, -2, -1/8, -25/8, 0, 0, -13/8, 0, 27/4, 
  7/2, 11/8, -7/2, 7/2, 3/8, 41/8, -1/8, -7/8, 0, 0, 9/16, 3/8, 3/8, 1/8, 0, 
  -3/16, 0, -7/16, -1/16, 1/4, -1/16, -5/16, 3/4, 3/2, 5/16, 0, 1/4, -13/8, 
  -11/16, 1/16, -5/8, -3/2, 5/8, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, -61/4, 0, 
  135/8, 1/2, 69/8, 0, 0, 0, 0, -5/8, 0, 0, -1/8, 3/8, 1/4, 1/2, -1/8, -5/8, 
  1/2, 1/2, 67/8, 0, 0, 0, 0, 0, 0, -3/4, -3/4, -1/4, -1/4, 5/4, 1, 2, 1/4, 
  -1/2, -1/2, -1/2, -5/4, -1, 3/4, 1/2, 0, -9/8, 15/16, -3/8, 9/16, 9/8, 
  -31/16, 3/32, -45/32, 7/16, -111/32, 17/8, 1/8, -19/32, 71/32, -15/8, 
  -3/16, 0, 45/32, 0, -7/16, 9/16, 0, -1/16, 3/16, -3/32, 0, 45/32, -7/16, 
  85/32, 0, -5/8, -15/8, 0, -3/8, -2, -11/16, 1/2, 1/8, 0, 121/16, 129/8, 
  -3/16, -1/4, -223/16, 1/8, -127/24, 19/8, 19/16, 1009/24, 15/16, -32, -1/2, 
  127/24, 17/16, -29/48, 0, -3/16, 47/24, 0, -3/8, -19/8, -1, -5/4, 3/4, 
  -1/4, -3/16, 0, 13/16, 13/8, -5/16, -1/4, -7/16, 7/16, 1/12, 127/24, 45/16, 
  1, 1/8, -7/8, -27/8, -3/16, 7/16, -55/24, -127/24, 7/8, 73/24, 0, -7/4, 
  -7/2, -1/2, 0, -1/4, 0, 0, -1, -1/4, 7/4, 5/8, -27/4, -107/8, 1, -1/4, 
  107/8, 7/16, 16/3, 127/12, 2, -3/2, -17/16, -3/4, -545/12, -1, 517/16, 
  -37/24, -127/12, -5/16, 187/48, 0, 0, -13/4, -1/2, 3/8, 5/8, -3/4, 0, 9/8, 
  5/8, -3/4, -113/8, 5/8, -1/4, -1/4, 109/8, 0, 4, 133/12, 0, 3/8, -5/16, 
  291/16, -1093/24, -15/8, 523/16, 5/8, -127/12, -7/16, 169/48, 0, 0, -1/8, 
  -25/32, -3/8, 7/16, -151/64, 55/32, -7/8, 89/32, 3/4, -11/16, 15/8, -1/2, 
  0, -45/32, 1/2, -231/64, 3/32, -187/64, -81/32, 1/2, -67/32, -1/4, -53/16, 
  -15/16, -5/4, -5/8, -1/8, 3/4, -3/16, -3/4, -45/32, 27/32, -93/64, -171/64, 
  -1/4, -3/2, -67/32, -1/8, -13/32, 3/32, 0, -5/8, -27/16, 3/4, 3/16, -37/32, 
  79/32, 19/8, -125/32, 45/16, 11/8, -13/4, 77/16, 45/16, -3/4, 1/2, 3/8, 
  -1/8, 11/8, -1, -25/8, -7/8, 23/4, 1/4, -1/8, 67/16, -1/8, -29/16, -3/16, 
  23/16, 3/4, -9/8, -5/4, 0, 27/32, 0, -3/4, -5/32, 33/32, 1/8, 1/32, 1/4, 
  -15/16, 0, 1/4, -91/16, 11/4, -1/4, -1/4, 1/2, -15/8, -123/32, -17/8, 
  -15/8, 1/8, -1/4, -91/32, 1, 0, 77/16, 3/4, 1/2, 0, -3/8, 25/16, -17/32, 
  1/4, -35/32, 17/32, 1/8, -15/32, 3/4, 9/8, 0, -7/4, -81/16, 0, -1/2, -1/8, 
  47/8, 1/8, -1/4, 4, -99/32, 45/16, -15/8, -37/16, -91/32, 19/16, 37/16, 
  -1/2, 63/16, -1/4, 0, 0, -1, -17/32, 39/32, 17/32, -7/32, 3/8, 7/8, 0, 1/8, 
  -77/16, 3/8, -3/8, -1/8, 6, 1/8, 3/8, 47/16, -99/32, 1/2, -9/4, 1/8, -21/8, 
  -91/32, 7/16, 31/16, -27/8, 75/16, 3/4, -7/8, -7/8, -1/16, -1/8, 0, 1/16, 
  7/8, 0, -3/4, -1/8, 0, 1/4, -3/8, 1/8, 1/4, -9/8, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -5/8, -3/16, 5/32, 13/32, 3/16, 3/4, 0, 3/16, -1/8, 19/16, 21/16, -7/16, 
  -39/16, -15/8, 0, 0, 0, -3/8, -1/8, 5/32, 1/4, 5/16, 0, 3/4, 0, 1/8, -1/8, 
  27/16, 43/32, -3/8, -19/8, -9/4, 0, 0, 0, 0, 0, 3/4, 1/4, -1/2, -5/8, 1/4, 
  -1/4, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/4, -1/8, 1/4, 
  -3/2, 0, 3/2, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 0, 0, 0, 0, 0, 0, 
  -1/2, 0, 1/2, 0, 0, 0, -5/4, 1/2, 5/4, -1/4, 0, 3/2, 1/4, -1/2, -3/2, 1, 
  3/2, -1/2, 2, 3/2, -2, -3/2, 3/2, -3/2, -3/2, 7/4, 11/8, 107/32, 9/4, 
  -47/32, -79/32, 3/32, 0, 0, -9/16, 5/4, 0, 1/4, -9/8, 1/4, -1/2, 3/2, 0, 
  -19/8, 0, 0, -3/2, 0, -1/8, -25/8, 0, -1, -109/32, 39/32, 93/32, -7/32, 
  3/4, 11/8, 21/4, 43/16, 21/16, -5/8, -39/16, 21/8, -11/8, 21/2, -3/2, -5/4, 
  -15/4, 7/8, -55/8, 7/8, -5/8, 19/8, 5/8, 7/4, -3/8, 43/16, -1/8, 1/8, 
  -41/16, 0, 0, 0, 1/2, 0, -3/2, 5/4, -5/8, 13/8, 1/2, 3/2, -1/2, -7/4, -3/2, 
  0, 0, 1/2, 0, -1/2, 0, 0, 0, -1/8, -5/16, 1/4, 7/8, 1/8, -1/2, 1/4, 3/8, 
  1/4, 35/4, 1/4, 1/2, 3/2, 0, -1, -3/2, 1/2, -3/2, 0, 11/4, 1/4, -9/8, -3/2, 
  3/2, -5/4, 25/16, -17/32, 0, -51/32, -21/32, 1/32, -15/4, 0, 3/8, -13/16, 
  1/8, -3/16, -5/8, -1/2, -9/16, -3/8, 0, 1/4, 0, -7/8, 3/8, 1/8, 3/16, 5/8, 
  3/4, 3/4, 1/16, -3/16, 3/8, -1/4, -1/16, -1/4, 0, -3/4, 7/16, 0, 0, -7/4, 
  -1/4, -9/16, -3/8, -5/8, 1/2, -1/16, -3/16, -1/8, 5/8, -3/8, -47/8, 3/4, 
  -7/8, -1/16, -1/8, 1/4, 1/4, -1/16, 1/4, -1/8, 0, 33/16, 97/24, 9/16, 
  -15/16, 3/8, -5/16, -1/16, 0, 1/8, -315/16, -1/2, 21/16, -37/16, -19/16, 
  1/8, 1/4, 1/2, -3/8, -5/16, -91/24, 3/4, 11/16, -27/16, -3/16, -5/4, -15/8, 
  7/4, 17/16, -5/8, -3/4, 7/16, 5/8, -3/32, -3/8, -37/64, -11/64, -45/32, 
  9/64, -15/32, -95/64, -1/8, -1/32, 5/8, 15/32, 167/64, -87/32, -1/64, 
  43/64, -77/64, 3/8, -15/32, -33/32, 19/32, 3/64, -1/4, 11/32, 3/32, -5/16, 
  -1/4, -29/64, -1/32, 11/32, 73/64, -21/32, 0, 3/16, -3/8, -45/32, -7/2, 
  -55/16, -233/64, 3/8, -51/32, 315/64, -67/32, 11/16, 7/4, 9/4, -75/32, 
  -101/32, -3/16, -15/32, -189/32, 75/16, -165/32, 5/32, -9/4, 7/16, -55/32, 
  -3/8, 11/16, 0, 1/4, -13/16, 0, 3/16, 1/8, -1/16, 5/16, 0, -3/16, -15/8, 0, 
  1/8, -5/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/16, 3/8, -1/2, -41/16, -1/16, 
  -1/2, 1/4, 1/8, 1/2, 0, -3/4, -9/4, 0, -1, 3/4, 1/8, 1/4, -1/8, 15/16, 1/8, 
  -9/16, 25/8, -3/4, -3/8, 1/2, 3/16, 3/2, 9/8, -15/16, -7/16, -1/4, 3/4, 
  -7/16, 1/4, 0, 0, 1/32, 3/16, 5/16, 1/32, -3/16, 0, 0, 1/16, 0, 3/16, 1/32, 
  3/16, 1/8, -1/16, 9/16, 43/32, 9/16, -3/4, -3/16, -13/8, -1/32, -1/8, 0, 
  -13/8, 7/16, 3/8, 0, 0, 0, 1/4, 0, 0, 0, 0, -3/8, -1/4, -1/16, -1/16, 1/8, 
  -1/16, -1/8, 0, 1/4, 3/4, 0, -1/4, 0, -15/8, -1/8, 17/16, -3/4, 11/8, 0, 0, 
  1/4, 0, -1/4, 0, 0, 0, -3/16, 7/4, 0, -1/4, 9/8, -1/16, 1/8, 5/16, -1/8, 
  -3/4, 1/16, 1/4, 3/4, 0, 0, -3/4, 0, 1/4, 0, -3/4, 35/16, 1/2, -13/16, 1/4, 
  0, -9/8, -1/4, 1/2, 3/4, -1/2, 3/4, -2, -3/2, 17/16, 3/2, -3/2, 3/2, 5/6, 
  1/2, 3/2, 0, 0, 0, 0, 0, 0, -5/6, 0, -1/2, 23/6, 0, 0, -3, 0, 0, 5/2, 0, 
  -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5/6, 0, 0, 0, 0, 1/2, 7/4, -1, 0, 
  1/2, -7/4, 1, 0, -1, 0, 0, 0, -5/3, 7/4, -5/3, 7/4, -11/2, -1, 0, 0, 0, 0, 
  11/2, 0, -25/8, 47/8, 0, 0, 0, 0, 0, 0, 5/4, 0, 0, 0, 0, 0, -5/3, -7/4, 
  1/2, 1, 0, 0, -23/6, 23/6, 0, -5/6, -1/2, -23/6, 23/3, 1, 0, 0, 0, 5/6, 0, 
  -5/6, 0, 0, 0, 0, -5/2, 0, 1/2, -7/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23/6, 
  1, 0, -3, 0, 1, 0, 0, 0, -1/2, 5/4, -3, 1/4, -5/2, 0, -501/16, 19/2, 
  -559/16, 5/2, -27/8, 1, 6, -27/16, -27/16, 27/16, 27/16, 0, 0, 3/2, 0, 
  -27/16, 0, 27/16, 0, 2, -121/80, -17/10, -179/80, 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, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9/4, -1/2, -7/2, 5, 1, 0, 25/8, -23/8, 
  0, 0, 0, -5/4, 0, -1/2, 7/2, 25/4, -13/2, 1/2, 5, -1, 3, -7/4, -7/4, 0, 0, 
  0, 0, 0, 0, -1/2, 0, 0, 0, -5, -5/6, -1/2, -2, 0, 1/2, -9/2, 0, 0, 0, -3, 
  0, -1/3, 5/6, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -4/3, 8/3, 1009/160, 
  -11449/160, -1353/16, 1063/16, 117/16, -33/4, 0, 27/4, 31/8, 7/8, -25/8, 
  1/4, 0, 0, 27/16, 3/16, -47/16, 13/10, 203/80, -753/80, 1197/80, 1097/160, 
  11/32, 461/80, 1073/16, 29/8, 29/8, -27/8, -27/8, -1/4, 0, 0, -3/16, 97/80, 
  -201/80, 97/80, -371/80, 0, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 65/24, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 1/4, 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, -9/8, 3, 1/8, 0, 0, -1/8, -35/8, 1/8, 47/8, 
  -23/24, -83/12, 1, -1, 0, 0, 0, 2, 13/4, -19/8, 3/4, -9/8, -1, 0, 1, 0, 0, 
  3/4, -191/96, 29/8, 53/8, 3/4, 5/4, 2/3, 47/24, -7/4, 7/2, 0, -7/6, 0, 1/4, 
  47/24, 0, -47/8, -119/32, 67/32, 1/4, 1/8, 0, 1/4, -1/2, 0, 1/8, 0, 1/4, 
  -2/3, 0, 37/16, 0, 23/16, -1/4, -1/8, 0, -1/4, 3/4, 0, 0, 0, 3/4, 27/16, 
  -3/4, -27/16, 1/8, -29/8, 3/8, 1/4, -25/12, -41/8, 1/4, 3, 0, -25/24, 0, 
  1/2, 25/24, -5/4, -5/2, -1/4, 29/12, 0, -1/8, 0, 1/8, 0, -1/8, 1/8, 0, 1/2, 
  7/4, 0, -1/4, 0, 1/4, -5/2, 0, -1/4, 0, 1/4, -1/2, 0, 0, -1, 0, 1/2, 3/4, 
  -3/4, 0, 0, 0, 0, -17/12, -8/3, 5/4, 8/3, 1, 0, -7/6, 0, 7/6, 7/6, 137/16, 
  -433/160, 3/2, -1/2, 1/8, -27/32, -1/2, 0, 27/32, -1/4, 0, 9/4, -1/4, 
  35/32, -1/8, 0, 0, 0, -361/80, 117/160, 0, 0, 1/8, -1/8, 5/2, 0, -3/2, 3/2, 
  0, 0, 0, -9/4, 1/2, 0, 9/4, -1/4, 9/8, -7/4, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 
  0, 3/8, -1/8, 1/8, 1/4, 0, -1/4, 0, 7/2, -1/4, -4, 9/8, -7/4, 0, -1/8, 0, 
  -25/16, 0, -7/4, 1/2, 0, 5/4, -1/2, 0, 0, -1310/3, 130, 435/2, 435/2, -1/2, 
  0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, -65/24, 3/4, 
  0, 455, 1160/3, -2630/3, 455, 0, -2005/6, 0, 0, 0, -830, 0, 0, 0, 5423/24, 
  -45/16, 0, 0, 0, 0, 12, -12, 0, 12, -5/4, 0, 0, 53/8, 5, -257/8, -35/4, 0, 
  0, 0, 0, 0, -1/8, 1/8, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -209/24, 23/6, 187/18, 0, 0, 0, -2001/2, -598, -47/8, 
  11/24, -125/6, -11/4, -75/32, -47/16, 25/8, -47/8, -73/8, -41/8, -35/16, 
  517/48, -13/2, 22/3, 0, 0, -53/8, 25/32, -21/32, -43/8, 0, 0, 0, -29/16, 0, 
  -31/16, 0, 0, -131/32, 29/16, 0, 31/4, -1/2, 59/16, 59/12, -1, 19/24, 
  2001/2, -90755/24, -50243/24, 598, 16103/4, 2001/2, 0, 598, 0, 0, 
  -36812/55, 598, 57759/110, 42787/24, 16753/8, 0, -12098/3, 42559/24, 1/2, 
  0, -19939/8, -1, 0, 73679/110, -1, -51072/55, 9/8, -15/4, -4, 19/2, -1, 
  -37/20, -27/10, 1, 17/20, 0, -69/20, 1/8, 1, 9/8, 15/8, 11/8, 21/8, -9/8, 
  -19/4, 0, 31/8, -25/4, -5/8, 17/8, 1, 93/16, 93/16, 1/4, -247/80, 211/16, 
  -15/8, -71/6, -269/16, -39/8, 39/8, -77/48, -715/96, 71/48, 147/16, -37/8, 
  -109/48, -21/2, -25/6, 19/8, 21/8, -1/2, -11, 91/6, -17/4, -1/2, -95/24, 
  -3/2, 215/24, -5/4, 0, 1/16, 31/16, 0, 0, 0, -13/8, -2, -9/8, 31/8, 75/16, 
  -11/4, -2, -1/4, 31/8, 61/16, 1/4, 1/4, 0, 1/2, -7/6, 0, 0, 0, 0, 0, 0, 0, 
  5/8, 23/8, 0, -23/8, -7/2, 0, 0, 0, 0, 0, -1/8, 0, -1/4, 11/12, -1/8, 9/16, 
  1/16, -21/16, -995/96, 39/4, -21/16, -29/16, 21/8, -47/12, -15/8, -115/24, 
  -29/8, -1/4, -1/2, 1/2, 1/4, 0, -25/8, -25/8, 3/4, 25/8, -77/48, 19/48, 
  77/48, -3/2, -13/6, -1/2, 13/6, -29/12, 293/96, 815/24, -149/48, 1/4, 
  -1/16, -1/2, 1/2, -1/4, 0, 11/4, 71/12, 3/16, 0, -11/24, 0, -5/4, 0, 5/4, 
  0, 55/4, -55/4, -55/4, 0, 3, -1/2, -3, -3, -391/4, -16, 4, 415/24, 
  -3271/24, -379/24, -9/4, -287/3, 143/48, -67/96, -227/96, -557/96, 
  -12409/96, 11/3, -14963/96, -5/4, 5155/96, 47/24, 3/2, 11/12, 293/96, 
  781/24, 83/48, 11/8, 109/24, 1/2, -97/24, -1/3, -7/8, -11/8, 2, -1/8, 
  -23/6, 11/4, 3/16, 0, -29/8, -1/8, -1/2, 1/16, -17/8, 0, -1/8, -9/16, 1/16, 
  -33/16, -3/4, -3/4, -1/2, 3/4, 29/12, 5/4, -9/16, 1/2, 3/4, -47/24, 0, 
  -1/2, 0, 1/2, -3, 0, 0, 0, 0, 0, 0, 0, 1/2, 9/4, 14/3, -9/4, -1, 0, -1/2, 
  0, 1/2, 1/2, 0, 3/4, 0, -3/4, 1/2, 0, 47/4, -13/2, -47/4, -47/4, -17/2, 
  -1/2, -359/4, -9, 1/2, 143/24, 0, -3023/24, -179/24, -83/12, -19/6, -3/2, 
  -1111/12, -12, 23/4, 395/24, -1/2, -3323/24, -359/24, -9/4, -23/6, -1/2, 
  23/6, -11/3, 49/32, 31/16, 57/8, -11/4, -15/16, -6, 7/2, -243/16, -547/32, 
  9, 531/32, 81/16, 1/4, 349/32, -219/16, 0, 0, 199/16, -7/4, -989/160, 
  -195/16, -7897/480, -69707/1440, -901/30, -1481/80, 4973/240, 2765/96, 
  33319/240, -139849/480, -191/8, -287/9, -1071329/5760, -41723/960, 304/5, 
  -2971/32, 340309/5760, 29/16, 33467/160, -58/15, -197/16, 5851/960, 249/8, 
  -158869/960, -4769/96, 425/8, -326707/5760, -67/8, 81/8, -14, -83/16, 
  -81/16, 1467/64, 7, -1467/64, -137/16, -81/16, 1467/64, 7, -1515/64, 51/16, 
  13/16, -253/32, 51/16, 93/16, -163/16, 241/16, 187/8, -197/16, -799/32, 
  83/16, 0, -27/32, -3/4, 51/32, 0, 0, 119/8, 0, -161/16, 0, -29/16, 161/16, 
  0, 0, 0, 0, -205/32, -47/4, 165/16, 213/32, 0, 3/16, 0, -163/8, -3/16, 0, 
  99/16, 0, 83/16, -71/16, 41/2, 3089/160, -121/16, -843/32, 547/160, 
  -1763/160, -2129/160, 1257/160, 1483/320, 19/16, -4041/160, -177/80, 
  957/40, 3827/160, 379/40, 4429/160, -345/16, -337/16, -2411/80, -329/20, 
  -291/80, 891/40, 693/40, 439/80, -55/192, 5, 0, -5, 0, 5, 1/64, 0, 0, 0, 
  -6, 57/8, -3/2, -25/4, 0, 0, 0, -15/4, 15/4, 15/4, -3/4, -23/2, -5, 3/4, 0, 
  0, 0, 0, 0, 0, -21/64, 0, -1, -1, -1/64, 15/16, -55/192, -15/16, -1, -1/64, 
  9/8, -55/192, -9/8, 5/4, 0, 19/4, -1, -5, 5/4, -21/64, -9/4, -1, 1/4, 0, 
  -1/16, 1/16, 0, 0, 0, 0, 0, 7/4, 29/4, 0, 0, 0, -1/4, -6, 3/2, 6, 0, 0, 0, 
  0, 0, 0, 0, 0, -7/4, -29/4, 3/2, -33/4, 0, 0, 15/2, -15/2, -15/2, 0, 
  673/64, -3, -55/4, -3/4, 3, 0, 8, -91/8, 19/16, 25/8, -2, -89/64, 89/8, 
  -19/8, 1/4, 171/32, 0, 15/16, 1/16, 7/8, 59/16, -25/4, -1/8, -3, 5/16, 
  -91/16, -1/8, -51/16, 5/16, 3/16, -1/4, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, -1/4, 
  -171/32, -11/2, -1/4, 7/4, 2, 0, 0, 15/16, 0, 1/16, 1, 7/8, 59/16, -3/16, 
  -1/8, 19/16, -53/16, -1/16, 0, 0, 0, 0, 0, 0, 0, 7/2, 0, -7/4, -2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 17/8, 0, 0, 0, 0, 0, 0, -33/4, 0, 0, 0, 0, -1093/192, 
  -69/8, 0, 7/16, 0, 0, 0, -97/16, 91/16, 47/24, -3949/12, -91/16, -1/4, 
  1133/3, 1/4, 0, 1279/12, -133/6, 429/4, -101/4, -17/4, 0, 272/3, 90, 0, 
  -319/3, 991/24, 177/8, -1097/12, -153/8, -41/8, -12, 119/16, 12, -37/16, 
  295/16, 25/2, -37/8, -213/16, 133/8, 0, 15/8, -133/8, 0, -7/12, 239/24, 
  -239/16, -1/4, -3935/16, 3/4, 63/16, -3/4, 0, -59/4, -51/8, 31, 51/8, 
  -65/4, 401/8, 47/8, -339/8, -283/8, 61/4, 0, 13/4, -61/4, 0, 1/4, -19/8, 
  -3/4, 19/8, 1/2, 23/4, 45/8, 23/4, -283/8, 1/2, 0, -9/4, -119/8, 0, -7/16, 
  45/8, -11/16, 9/16, 9/16, -81/16, -1/2, -221/48, 0, 1/4, 7/16, -1/4, 
  -71/12, 7/8, 7/8, 215/48, 5/144, 0, 97/16, -743/144, -47/3, -277/24, 3/8, 
  -43/36, 7/16, -1093/192, 341/48, 313/36, 0, 7/72, 0, 0, -403/72, 0, 
  -533/48, 3/8, -22/9, 7/16, 11/24, -997/192, -59/8, 707/72, -7/8, 0, 0, 0, 
  0, -7/8, 0, 0, 0, 0, 0, 0, 0, 87/8, 1/4, 1/4, 0, -1/2, 0, 0, -85/4, 0, 
  85/4, 0, 131/8, 85/8, -231/8, -39/4, 631/16, 0, -783/16, -87/4, 0, 0, 0, 0, 
  85/8, 0, -39/4, 0, 0, -85/8, 0, -1/4, 0, 1/2, 1/2, -1/4, 0, 0, 47/48, 
  -209/16, 209/16, 199/48, 229/48, 209/48, -23/12, 187/12, -187/12, -187/36, 
  0, 0, 0, -47/144, 215/48, -299/144, -23/12, -187/36, -3/4, -79/48, -21/16, 
  -151/64, 169/64, -11/16, -93/32, 17/4, 153/32, 55/192, -83/32, -13/96, 1/4, 
  0, -227/64, -87/16, 227/64, 87/16, -3/16, 0, -1/16, 0, 3/16, 1/16, -63/32, 
  39/32, -35/8, 87/32, 2/3, 45/64, 427/64, 59/32, -39/32, 37/24, -49/64, 0, 
  277/48, -4189/3, 115/48, -16025/16, 1082, -28657/48, 1253/4, 5/4, -23/8, 
  -727/32, 7/8, -13/2, -5/2, 103/16, 8/3, 5/16, 53/48, 83/32, 131/12, 335/48, 
  409/192, -219/32, 919/192, 95/32, 557/192, -1007/64, -95/16, 399/32, 
  -113/48, -1105/64, -229/12, -15/32, 35/16, -67/24, -5/8, -61/16, -89/12, 
  -23/8, 47/8, 17/32, -115/6, 305/16, 79/16, 19/12, 79/32, 737/48, 41/96, 
  1429/192, 19/96, -785/192, 165/32, -935/192, -3305/192, -91/16, 55/6, 8/3, 
  397/192, -197/12, 87/32, -1/16, 1039/96, 41/96, -45/16, -115/24, 17/16, 
  -27/8, -887/192, -599/64, -45/8, -79/96, 143/32, 139/48, -2467/96, -631/96, 
  1/4, 0, 11/128, 7/48, -11/128, -7/48, 27/16, 0, 419/64, 141/16, -3/64, 
  -137/16, -1/32, 1/8, 15/16, -57/32, -103/32, 0, 1/32, -1/8, 127/16, 11/32, 
  23/32, 0, 1/8, -45/16, -1/8, 7/8, -103/32, 0, 1/32, -1/8, 165/16, 0, 
  -91/32, 11/32, 0, 0, 0, 0, 0, 0, 15/8, 0, 9/16, 3, -3/16, 15/16, -7/32, 
  81/32, 45/16, -25/16, -7/8, 119/32, -5/4, -1/8, -77/32, 73/16, -33/2, 0, 0, 
  0, 0, 0, -3/4, 0, -9/8, 0, 0, -1/4, 1, -27/16, 143/16, -353/32, 39/16, 1/2, 
  -13/16, -417/32, -5/16, -7/4, 0, 39/4, 7/16, 27/16, 5/8, -19/4, -33/8, 
  -115/8, -21/4, -1/4, -29/8, 127/32, 17/8, 1/2, -25/16, 21/8, -29/32, -7/6, 
  -2, -7/12, -235/96, -631/96, 95/64, 599/96, 229/96, -3/64, 509/48, 1/2, 
  125/8, -1547/192, 0, 9/32, -103/96, -19/8, -45/16, -655/96, 7/8, -15/32, 
  587/96, 59/8, 13/64, 103/96, 63/32, 491/96, -89/24, -51/32, 169/48, 
  -917/24, 3287/48, -5009/64, 925/64, 5/6, 101/32, 1/32, -69/4, -3/16, 0, 
  641/96, -299/96, 0, 0, 0, 53/8, -503/12, 29/3, -151/2, -1737/32, -9/2, 
  -1315/8, -149/4, 2251/32, 1285/24, 295/6, -611/48, -55/2, -959/16, 31/16, 
  -57/8, 195/16, -11/6, -81/32, 91/6, -94/3, 767/96, -167/4, 5615/64, 503/32, 
  59/8, -1523/64, -5/6, 4/3, 1/16, -43/48, 91/24, -1, 3401/48, 1513/16, 1/2, 
  25/6, -7187/192, 1/16, -979/24, -29/16, -69/16, 430/3, 89/12, -31/16, 
  89/48, 115/24, 535/12, 1179/16, 4645/48, -3511/48, 15037/192, -9091/192, 
  117/16, -9361/192, -127/48, -1/8, 1141/12, 163/24, 3/4, 4781/48, -1/2, 
  -205/48, 1187/16, 215/48, -3517/48, 25/8, -9811/192, 31/24, -19393/192, 
  5/48, 553/32, 17/32, -677/32, 3/16, 0, 1/2, 1/16, -1447/96, -3/8, 339/16, 
  1/16, -83/4, 0, -629/24, -5/32, 2833/288, 69/4, -1/4, 1/4, 0, -67/4, 0, 
  -2497/288, -109/6, 127/96, 153/8, -347/96, 123/32, 7/2, 11/16, 59/32, 35/8, 
  3/8, 89/32, -13/16, -61/16, 3/8, 199/72, -119/32, 1/96, 845/96, -335/96, 
  -1/4, 4, 11/16, 11/8, 9/2, 1/4, 105/32, -13/16, -61/16, 3/8, -9653/288, 
  -131/32, 2071/96, 857/96, -2207/96, 0, 3/8, 0, -3/8, 25/8, 0, -3/8, -1/12, 
  0, 0, -1171/60, 0, -1427/480, 0, 0, 47/32, 55/32, -1/4, 289/15, 1457/480, 
  115/96, 0, 1/8, 89/24, 125/16, 0, 125/48, -1/4, -85/32, -139/32, -155/48, 
  -139/32, 433/30, -83/24, 3637/480, 1/8, 0, 125/16, -3/8, 0, -139/32, 3/8, 
  -203/32, 0, -245/16, 3/8, 169/32, 15/2, 0, 257/24, -5/16, 85/32, -9/2, 
  -1095/8, -103/12, 411/32, 805/24, -203/24, -109/16, -129/8, 2, -17/3, 
  -545/24, 47/8, 663/32, -39/8, -21/4, 435/8, 213/32, -7/12, 17/3, 209/24, 
  -169/16, 359/4, 11, -791/16, -547/16, 29/12, 321/4, 641/8, -49/8, 117/4, 
  433/48, -1253/16, -191/16, -65, 929/48, 241/16, 7201/48, 145/16, 0, 
  -1415/48, 73/24, 0, 665/12, 0, 507/16, 433/48, -665/12, -199/16, 1199/48, 
  -1153/48, -45/8, 1725/8, 1007/48, -19/4, -21/2, 1/8, 13/16, 250099/5760, 
  23671/160, 195299/720, 1229/32, -9/4, 51709/480, -80357/960, -1731/32, 
  -40337/480, -237/32, -3/16, 119/32, -251369/960, 115/32, -827231/2880, 
  -1743/64, -3/2, -3/8, 13/16, -3/8, -2, 2, 47/16, 35/32, 11/8, 23/4, 181/16, 
  -125/16, -1459/64, -5/8, -23/16, 1/2, 271/32, 11/8, -187/16, 11/16, 181/16, 
  -21/32, -125/16, -117/32, -1479/64, 41/32, -1, 147/16, 19/8, 1/8, 7/16, 
  -301/32, 7/8, 25/16, -25/8, 0, -7/16, 75/8, 109/8, -295/32, -27/2, 0, 
  161/16, 0, 29/4, 1/4, 365/32, -3/8, -45/4, -29/4, 0, -181/16, 0, 3013/320, 
  -4941/160, -117/64, 109/16, 3/40, 757/160, 27/5, 1717/80, -3059/640, 
  -121/32, -9/32, -367/160, 1219/160, 15/16, -1459/128, -27/32, 0, -251/16, 
  0, 0, 179/16, 0, 1159/160, 3149/160, 259/480, -4507/480, 43/4, 115/8, 
  235/16, -30, 21/8, -181/16, -27/4, -9/8, -39/16, 13/8, 1/2, 21/2, -55/8, 
  181/16, 13/16, 241/16, 13/16, -77/4, -241/16, 0, -15/32, -167/16, -1/8, 
  21/32, 805/96, 0, 175/96, -1/2, 527/72, 27/64, 1267/96, 16501/1152, 
  769/192, -11/8, -61/48, -2929/288, 3/8, -295/384, 8257/288, -2233/192, 
  -725/48, 1187/1152, -13/64, 1519/192, 15637/1152, 793/192, 629/48, -49/48, 
  -3181/288, 1/8, -4321/576, -751/384, 33/16, 8449/288, -2257/192, -53/8, 
  2411/1152, -13/64, 1979/192, 14377/1152, -1355/192, 155/12, -49/48, 
  -3145/288, 1/8, 1469/576, -211/384, 1235/96, 8377/288, -1979/192, 0, 0, 0, 
  -3549/160, 0, 3369/160, 0, 87/8, 0, 3029/160, 25/8, 0, 1/4, 17/2, 3/8, 
  73/16, -1/4, 3, -81/8, -6859/480, -43/24, -49/8, -191/8, 163/16, -5, 5/4, 
  -1/8, -191/8, 9/4, 3/8, 25, -1/4, 185/8, 227/8, -47/2, -219/8, -5/8, -75/4, 
  203/8, -203/8, 4, 0, 9/4, 0, 0, 227/8, 0, -219/8, 0, -27/2, 0, -203/8, 
  -7/2, -7/4, 123/8, 1/4, -61/8, 7/2, 19/8, -265/8, -7/2, 1, -1, -1, 15/4, 
  -33/8, 1/2, -11/8, -75/4, -1, -65/8, -25/4, -17/4, 35/8, -77/16, -31/16, 
  21/8, 81/16, 0, -343/16, -87/8, 0, -19/16, -17/2, 11/2, 205/8, -1/8, 81/16, 
  -67/16, 17/4, 3/2, -57/4, -4, 0, 51/8, 7597/1152, 1/8, -1907/192, 
  -41683/1152, 1307/192, 65/4, 41/48, 14269/288, -57/8, -709/16, -7/32, 
  625/16, -7/32, -1/4, -1/4, -1/16, -169/4, -7/32, 35/16, -3/4, 3/32, 1/32, 
  -167/64, -155/32, 0, 0, 0, 0, -175/64, 0, 0, 0, 0, 0, -1/16, 173/32, 
  -101/32, 1/16, 73/32, -1/16, 7/8, -23/8, 5/32, 47/4, -3/16, 0, 0, -25/32, 
  21/8, 93/32, -41/32, 19/2, 55/16, -73/32, 3/8, 7/16, -29/16, -11/8, -15/32, 
  47/16, 439/16, 139/16, 1, 379/8, 659/16, -3/16, -629/16, -141/4, -103/16, 
  -185/4, 1/16, 139/4, 1/4, 5111/72, 565/16, -201/16, -475/8, -377/48, 1/8, 
  323/8, -3/16, 0, -141/4, 0, -189/4, 1/16, 279/8, 1/4, 3481/144, 553/16, 
  -95/4, -491/8, -293/48, 0, 0, -5/2, 0, 0, 29/60, 0, 0, 0, 0, 0, -34, 215/8, 
  10307/480, -159/16, 0, -1/2, -4579/240, 2227/96, -3/4, 111/20, 1/2, -9/4, 
  -431/48, 2281/96, 31/24, 4579/240, -683/24, -10753/240, 241/96, 53/8, 
  10117/1152, 1/8, -1907/192, -21145/1152, 1307/192, 911/480, 6317/960, 
  6907/288, -3431/480, 0, 0, 0, 0, 2021/480, 0, -2141/480, 0, 0, 0, 
  -2021/480, 0, 43/48, 11/12, 0, -11/32, 41/32, -11/16, -19/48, 0, 2155/288, 
  -10135/144, -1/2, -1801/288, -49/48, -19/6, -51/16, 7655/72, -3/16, 5/48, 
  119/48, -1265/48, 1/6, 7/4, 51/16, 39/16, -7/4, 0, 107/3, -8, 0, 3/4, 
  -443/12, 31/3, 17/16, 3/4, -7/8, 0, 361/12, 0, 1373/48, -1273/24, -29/16, 
  1/4, 2065/48, 1/8, -107/3, 415/24, 39/8, 31/8, -305/24, -25/16, -133/2, 
  -285/8, 235/48, 23/12, -211/24, -39/8, 75/16, -139/48, 0, 5/4, 33/8, 0, -2, 
  -33/8, 0, 3/4, 0, 1/8, 11/2, 0, 31/8, -39/8, -9/2, -3/8, 3/8, -87/4, 1/4, 
  0, -19/4, 0, 19/4, 0, 0, -1/2, 35/8, 0, 0, 0, -1, -4517/288, -1/96, 39/32, 
  2755/288, 19/96, -11/32, 161/144, 1/8, 51/16, 2/3, -389/72, -23/96, 
  -2303/144, 5/8, 1/24, -11447/432, -1813/72, 2159/144, -163/96, 1/4, 
  7499/288, 1/96, 85/18, -7/24, 163/36, -9/4, 49/48, 0, 0, 0, 3/4, -325/32, 
  -1/4, -59/32, 307/32, 27/32, -63/16, -1/2, -295/16, -1/4, 0, 0, 0, 0, 0, 
  217/16, -157/32, -107/16, -529/32, 0, 83/16, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 
  -61/72, 201/32, -491/144, -1/4, 0, 179/96, 1/4, -1/2, -3/2, 1, 3/2, -1/2, 
  2, 3/2, -1315/144, -3/2, 3/2, -3/2, -3/2, -35/16, 187/32, 1/4, -9/32, 
  61/32, 5/8, -11/16, 0, 2057/288, -22519/48, 1/4, 79/72, -1/4, -29/36, 
  19591/72, -274199/880, 22451/96, -11195/16, -305/144, 229/8, 11639/32, 
  121/144, -14303/32, -515/24, 25825/48, -6299/32, 7529/48, 1/4, -81/32, 
  53/96, 99/32, -21/32, -401/96, -325/64, -63/32, 2387/192, 47/16, -1/4, 
  7/16, -57/16, -87/8, -17/48, -377/24, -1, -7/8, 49/8, -29/8, 25/4, -379/48, 
  -245/24, -1109/96, -1889/480, -423/32, 63/16, 127/12, 115/24, -15, 1099/96, 
  259/24, 343/96, -197/16, -95/24, -15/16, 19/48, 0, 33/32, 513/64, 43/12, 
  -45/32, 47/192, -1/8, 149/16, 0, -171/32, -91/96, 5/4, 1/2, 1/16, -125/32, 
  -25/32, -23/32, 277/64, 479/24, -9/8, 61/16, -269/32, -65/12, -25/16, 
  -35/96, 3/8, 17/16, 5/8, -1/4, 0, -303/16, -11/128, 307/16, -3/4, -7/48, 
  -315/16, 1/4, -195/64, 319/16, 0, -3131/72, -2043/32, 215/8, -83/16, 0, 
  1643/32, -1/4, 3059/72, 1429/32, -445/48, -1013/32, -845/48, 137/16, 0, 
  -137/16, 0, -3/4, 137/16, -1/4, 0, -259/16, 435/32, 0, -73/4, 0, 17/16, 
  1033/32, -149/16, -9/16, 61/8, -951/32, 429/16, -1001/32, 129/8, 9/16, 
  -11/8, -73/32, -547/96, 5/2, 53/32, 1/32, 1/4, -3/16, 0, 193/32, -1/32, 
  17/6, -1/4, 1/64, -5/16, 3/2, 3/16, -9/4, 53/16, -121/16, -35/32, 1/32, 
  605/96, 37/64, -5/8, -3/16, -23/4, 5/8, 0, -763/144, -67/36, 1/8, -9/8, 
  6985/144, -155/24, 1/2, 2/9, 0, -1/8, 6319/144, -1/8, -1087/144, 727/72, 
  469/144, 1/8, 1/8, -1463/144, 0, 395/144, -539/18, 103/24, -259/72, 
  -467/48, -17/16, 1367/144, -577/16, 1423/288, 1453/72, -143/96, -11/3, 
  1/16, 95/32, 0, 1, 17/4, -9/32, -39/32, 3/8, 9/16, 7/32, 1/8, 1/4, -51/16, 
  -9/8, 103/4, -13/16, -1/8, -5/8, 1/8, 6955/288, 451/16, -5/16, -97/36, 
  -215/32, 11/16, 61/16, 13/16, -113/8, 1/4, -341/18, -23/16, 7/16, 61/4, 2, 
  0, 197/48, 1/2, -3/8, -137/48, 5/8, -5/8, 137/96, -5/8, 79/32, 731/96, 
  -27/32, 65/16, 9/4, -115/24, 0, 0, -109/16, -133/24, 0, 47/24, 7/16, 
  -1087/90, 1769/36, -2059/720, -161/9, 11/6, 89/12, 3/16, -247/32, -19/8, 0, 
  -239/8, -4/3, 11/4, 1387/24, 15/8, -63/16, -39/8, 9/16, -1/8, 63/8, 0, 
  -69/4, -49/16, -9/8, 3/8, 1/4, 7/2, -1/4, 109/4, -761/48, 3/2, -155/16, 
  17/4, 1, 929/8, 106/3, 221/16, -45, 237/16, -3/2, -13/8, -19/4, 1/8, 79/32, 
  -197/64, -61361/480, -25/32, -1/4, -2615/36, -35/16, 764951/5760, 1285/64, 
  159/80, -80741/1152, 370657/5760, 364111/5760, 1081901/5760, -366919/5760, 
  65/16, -3/4, 4, 7/8, 3/16, 11/16, 1/16, -17/8, 391/64, 91/32, -17203/192, 
  441/64, 3823/48, 1/16, -5/4, -172579/960, 65/16, 9703/60, 15/16, 
  160669/960, -279/32, 1537/64, -13/16, 17737/192, -817/64, -569/6, 
  166879/960, -27/8, -83369/480, -158989/960, -19/2, 23/8, 26, 567/32, -3/2, 
  -45/32, 161/32, 115/32, 14983/192, -5/2, -13831/192, 3/16, 178399/960, 
  -11/32, -9/32, -84299/480, -2, 9/16, -168139/960, -47/32, -5/16, 45/32, 
  -329/32, 209/32, -16315/192, 1561/64, 6923/96, -181519/960, 317/32, 
  77519/480, 184819/960, 5, -419/32, -273/16, -679/32, 13/16, -9/32, 9/8, 
  -17/5, -295/32, -527/80, 27/16, 16585/192, -433/64, -895/12, 0, 1/128, 
  769/80, 180409/960, 1809/80, -74399/480, 55/32, -37/16, -160189/960, 5/16, 
  7/8, 1883/320, -3/2, -10, 231/32, 339/16, -15/8, -1193/160, 505/32, 127/16, 
  -3/4, 0, -17/4, 77/16, 3/2, 7/4, 4241/288, 29/48, -55/32, -2489/288, 
  -25/96, -1/32, 155/48, -63/16, -11/24, 1211/72, 19/16, 179/24, -1/8, -5/24, 
  11/64, 2701/288, 1/8, -5783/576, 35/36, -1/16, 4805/432, -19/24, -269/36, 
  5/24, -821/96, 51/16, 3/16, -115/36, -29/8, 2, -165/16, -39/16, 129/16, 
  7/16, -11/8, 127/80, 0, 23/32, 173/32, -23/32, 69/16, 0, -219/16, 0, -3/4, 
  -27/4, -33/4, -1, 153/8, 0, -1359/160, -147/32, 29/8, -93/80, -7/8, 11/2, 
  -3/4, 41/16, 4, -1/8, -7, 7/4, -2, -11, -1/4, 37/16, 31/4, -5/16, 7/8, 1/4, 
  227/16, 153/16, 79/16, -1/2, 0, -199/16, -1/4, 8, 5/2, 83/8, -11/4, -13/8, 
  -17/2, -33/8, -99/8, 0, -49/8, 13/4, 49/8, 3/4, -83/8, -1/16, -1/2, 21/2, 
  -1/4, -1, 0, -89/8, 1/4, -3599/72, -61/2, -11/16, 1017/16, 95/48, -7/8, 
  739/32, -3/32, 103/32, 77/32, -3/32, -85/32, -171/8, 7/16, 39/16, 3/8, 
  -495/16, 1/4, 303/16, 9/8, -1/4, -541/32, -7/32, 5029/144, 1247/32, 
  -269/16, 393/16, 1/4, -77/2, 19/16, 15/4, 3, -599/48, -111/32, -3, 0, 0, 0, 
  0, 0, 5/8, -4103/1440, 0, -19/32, -1567/1440, 15/32, -59/16, 0, 101/45, 
  -1/4, 0, 0, 0, -1, 0, 3263/90, -2953/96, -1379/240, 6427/1440, -1, -3, 1, 
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  -9/2, -1, 7/8, 0, -1, 27/8, -31750/33, -221159/330, 9/2, 0, 1, 539/3, 
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  -1/2, -3/4, -1/24, 19/8, 125/24, -2, -5/2, -1/12, 15/8, -43/24, -39/8, 
  47/24, -7/6, 9/8, 43/12, 139/24, 13/12, -53/24, -5/4, 19/4, 9/4, 41/24, 
  15/8, -3/8, 47/24, 3/2, -81/16, -119/48, 0, 81/16, 1/2, -29/8, -5, 377/48, 
  0, -1/2, 2, 0, 0, -7/4, 13/8, -1/2, 9/8, 17/8, -49/16, 33/16, 1/2, -5/2, 
  1/2, 1/4, 0, -25/8, -5/4, 13/4, -1/4, -257/40, -2, 7/8, 191/20, -17/8, -6, 
  -91/24, -75/16, 391/72, -1/2, -113/48, -3/16, 1, 20/3, 3/4, 107/48, 49/16, 
  -13/4, -11/4, -1/4, -3/2, 7/4, 0, -29/4, -7, -7/4, 21/2, 1/8, -17/4, 19/8, 
  13/4, -3/2, 45/8, 81/8, 29/4, -57/8, -5/2, -9/4, 41/8, 5/8, 55/16, 23/8, 
  95/8, 27/4, -25/8, -15/8, -1/2, -59/8, 13/8, 27/16, -7/4, 1/4, 51/16, 13/8, 
  -9/8, 1/8, 11/4, -105/64, 17/16, 0, -83/32, 25/8, 11/24, -7/16, 1/8, 0, 
  -1/4, 0, 3/4, 1, -5/4, 7/4, -15/8, -19/4, -1/8, 1/3, 5/16, -1/2, 0, -9/8, 
  -5/4, 1/2, -7/8, 5/4, -5/8, 19/6, -5/6, -71/16, -1031/144, 1/3, 1/16, 
  -1/36, 1, -15/2, -5/6, 231/16, 1/4, 37/36, 35/8, 13/24, -1, 133/72, 11/8, 
  7/12, -33/8, 17/24, 135/16, -13/16, -97/36, -9/4, -5/4, 157/20, 3/2, 
  -157/20, -1/4, 1/8, -33/16, -7/6, 11/4, 245/16, -23/8, 3/4, 197/36, 
  -513/40, -5/72, 19/8, -3153/80, 4, -3/2, 473/16, -1, 9, 1253/80, -7, 
  -379/48, 29/16, -105/4, 31/8, 11, 7, -1/2, -19/4, -3, 7/4, 27/4, 4, -17/4, 
  2, 2, 21/8, 19/4, 3/2, 21/2, 115/8, 9/2, -11/2, -15/4, -51/4, 27/8, 21/4, 
  13, -3/4, -8, -1/2, -55/4, -57/4, 13/2, 35/4, -51/8, 17/8, 5, 5/4, -37/24, 
  -2, 11/16, 71/48, 3/2, -129/16, -119/24, 21/8, 15/8, 5/2, -133/16, -13/4, 
  239/24, -2, 23/2, 17/16, -9/4, 0, -23/4, 7/4, 93/16, -53/16, 1, 31/16, 
  19/4, 17/8, 19/4, -11/2, -21/4, -7/4, 0, 0, 0, 0, 0, 3/8, -1171/120, 1/2, 
  -3/4, 1741/120, 7/8, -9/4, -43/12, -3629/240, 257/72, 1/2, -3/8, 0, 0, 
  -9/8, 0, -2, -19/4, 73/16, 7/4, -6, 2, 439/48, 0, 157/16, 0, 0, 0, 95/3, 6, 
  3, 48, 0, 3, 0, 0, -1, -95/3, 3, 6, 48, -3, -35/6, 8/3, -17/2, -3, -1/2, 0, 
  0, 1, 0, 0, -1, 0, -7/2, 0, -15/2, 0, 0, 0, 9/16, 0, 0, 0, -1/2, 0, -7/16, 
  0, 1/6, 1/6, 0, 0, 1, 0, 0, 0, 0, 3/2, 0, 0, 3/2, 0, 0, 0, -4, 0, -4, 0, 
  -8, 0, -4, 0, 8, 0, 0, -15/4, -233/8, 577/8, -57/2, -323/4, 2351/36, 241/2, 
  1, 245/72, 1483/36, -3/2, -149/24, -1, 0, -27/8, -1/2, 45/2, -21, 33/8, 
  -21/2, -75/2, 0, 12, 33/8, 1/2, -1/2, -1/2, 0, 65/4, 0, -69/4, -1/2, 1/2, 
  0, -111/4, 0, 1/2, 111/4, 23/2, 9/2, 55/4, 9/4, -173/20, 0, 5281/24, 0, 0, 
  0, 0, 199/10, 0, -19121/80, 3151/80, -2088/5, -31/5, 2088/5, 17699/40, 
  361/3, 0, -199/20, 0, 19247/40, -605/8, 0, 0, 0, 0, 0, -115/144, 37/9, 
  -94/3, 4207/96, 2063/96, 65, -125/24, -89/12, -1, 1, 0, 0, 5/4, -3, 19/48, 
  -73/4, -43/8, -85/16, -141/4, -181/8, -5/8, -117/8, 255/8, 19/6, 71/6, 8, 
  7/3, 0, 5/4, -17/8, 10/3, 37/6, 13/2, 0, 0, -7/3, 1/2, -60, 29717/288, 
  -2057/144, -65/48, 0, 0, -505/144, -89/36, 0, 17/4, 0, 0, 11/4, 0, 0, 2, 
  4679/2304, 165/128, 349/32, -66751/2304, 0, 295/256, 0, -267/128, -959/256, 
  -319/6, -251/16, -1053/16, 1919/32, -383/48, 33/8, 61/4, 16, -111/8, 74/9, 
  -679/12, 663/16, 223/16, 3779/48, -325/24, 0, 0, -1193/96, 37/384, 
  -1733/768, -227/6, 941/768, 571/384, 0, 1553/768, 0, -1289/768, 0, 0, 
  133/48, 3/2, -277/48, 1/2, 0, 0, -101/12, 1/4, 0, 1/2, 0, 0, 11/4, 0, 0, 
  1/4, 0, 0, 1/2, 0, 0, 5/2, 1/4, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 5/2, -161/2, 
  -37/2, -111/4, 17/4, -161/4, -49/4, -123/4, -6, -143/8, -183/8, 99/8, 
  -57/2, 25/2, -143/8, -227/8, 99/8, -27/2, 3, 0, 0, 0, -9/2, 0, -651/8, -99, 
  -69/2, -1035/8, -507/8, 171/8, 57/2, -793/8, -1098/5, 6129/40, 3171/10, 0, 
  -1233/5, 0, 1638/5, -729/20, 373/24, 75/8, 25/8, -265/48, 217/16, 157/8, 
  -509/24, -749/48, 949/144, 895/72, 254/9, 691/24, 349/144, 1247/144, 
  -113/8, -47/288, 1261/576, -4, -1073/144, -9/2, 31/16, -5/6, 5, -15/4, 
  -101/24, -23143/480, -101/12, -2117/60, -7/4, 13/12, -23/12, -19/8, -7/48, 
  29/16, -1/32, -5/12, -37/12, 5, 35/24, 11/4, 29/4, 11, 25, -7/2, -209/6, 0, 
  -151/4, -59/4, -2, -175/16, 17/8, 123/8, 209/16, -55/24, 1/4, -7/2, 1, 
  -177/8, -81/8, 233/8, 1/2, 7/2, 193/8, -1/4, 11/4, 135/8, -225/8, -24, 
  -1/2, 0, 9/8, 45/2, 3/4, -13/4, -3, 5/4, 207/8, -49/4, -1/4, -9/8, -377/8, 
  61/8, -57/2, 25, 0, -3, -21/4, 0, 6, 23/12, 15/4, 9/4, -11/8, 9/8, 147/8, 
  -51/4, -8, -77/8, 241/16, 457/48, -241/16, 197/48, -25/2, 0, 161/8, 1/2, 
  -42, 397/48, 625/16, -151/24, -74/3, -4, 5471/40, 15/2, 12, -5471/40, -8, 
  93/80, -19591/240, 19647/80, 2399/360, -155/2, 875/16, 209/4, 280/3, 
  -179/16, -3/2, -6, -15/2, 8, 11, 81/8, 6, 111/8, -69/8, 87/4, -87/4, -87/4, 
  -3/2, -21/4, 2, 0, 0, 0, 0, 0, 3/4, 0, -35/48, 3/4, -77/48, -47/12, 25/144, 
  -185/36, -1265/144, 31/8, -1027/216, -781/216, 259/24, 767/288, -6, 307/24, 
  -2, -15/4, 39/8, -27/4, 5/6, -29/4, 57/8, 319/16, 7003/320, -3335/288, 
  -16/3, 773/48, 27/4, 127/48, -43/48, 117/8, -47/48, -17/4, 71/12, -187/96, 
  -691/48, -81/4, 47/4, 701/24, 415/16, -677/48, 68/3, -939/64, 371/24, 
  905/288, -137/3, -395/36, 7867/288, 931/288, 4231/288, -37/16, 109/48, 5, 
  73/8, -7/8, 37/8, -321/16, 23, -61/4, 129/8, 19/12, -5, 51/16, -31/24, 
  7619/240, 2015/144, 307/10, -2611/80, 773/48, -1/2, -49/24, -51/8, 75/16, 
  -165/32, 137/96, -19/48, 461/96, 103/8, -229/12, -277/32, 407/288, 
  4007/576, -9/2, -497/72, 13/4, -7, 497/48, -395/72, 1/12, -2521/80, 
  -903/256, 1/2, 27733/1280, -11/8, 16/3, 65651/5760, -637/128, -295/48, 
  -3307/80, -67/6, -1473/128, 524203/11520, 38975/2304, 305/24, 161/8, 
  -97/32, -34/3, 11/16, -551/32, -11/2, 1183/192, 25577/576, -281/96, 
  1901/36, 193/96, 5237/288, -8683/144, 217/12, -25/4, 905/128, 11/2, 
  -1597/384, 2393/768, 6353/768, -1657/48, -21/4, 2993/192, 227/16, 
  -4079/256, 267/32, -6329/768, 2507/192, -75/32, -7/4, 8, -23/4, -53/4, 
  -4051/64, -827/96, -2027/60, 7/8, 0, -2/3, -1/6, 0, 7/6, 0, -2/3, 1/6, 
  -11/12, 0, 0, 1, 23/24, -113/12, -1/6, 1/6, 1/4, -11/2, -9/4, 47/8, -23/8, 
  -5/6, -25/8, -59/8, -291/8, 19/8, -217/16, -165/16, 5, 181/16, 11/6, -11/8, 
  -5/4, -1, 19/8, -5/2, -3/2, 83/8, 7/4, -23/4, 133/8, -57/16, -677/48, -4, 
  173/4, 81/8, -373/8, 343/16, 33/2, -211/8, -127/4, -115/8, -53/16, 21, 
  21/16, 141/16, 1, -25/4, -185/16, -12, -57/40, 8, 309/5, 4289/80, -913/40, 
  -1441/45, 9, 279/16, -377/8, -23/8, -49/8, 19/16, 1301/40, 95/32, -49/8, 
  -2447/80, 163/64, -1083/80, -13741/480, 7999/160, 719/20, 5/8, -488/15, -5, 
  59/8, 2521/80, -101/16, -31/4, 61/24, -1519/40, -1279/72, -287/48, -47/12, 
  69/8, -47/32, 195/16, 261/64, 15/2, -8, -171/32, 8, -343/16, 201/8, -2, 
  -971/24, -4103/48, -1781/48, 659/16, 71/4, 361/48, -175/8, -19/12, -35/12, 
  -527/24, 275/6, 271/12, 2, -1197/20, 6, 18, 2593/40, -12, -359/20, 
  -8501/120, -559/40, 17633/360, 279/5, -89/4, -77/2, -291/20, 63/8, -15/4, 
  583/10, 8, -17/48, -12497/240, 425/48, 1191/20, 5621/120, 1849/24, 
  -2423/360, -55/4, -15/2, 2521/48, 24969/80, 21/4, -175/8, 24, 11/2, 0, 
  385/8, 151/2, -37/4, -9, -1309/8, -105, 455/48, -85509/80, -9/2, -3, 
  -1075/48, -523/16, -61/24, -1295/48, 52187/240, -19033/320, 99279/1280, 
  -41579/768, 31979/192, 11727/128, 117/4, -72, 1775/48, -901/16, 3481/16, 
  9283/80, 1383/16, -1415/8, -9/4, 75/4, 3/8, -9/8, 223/8, -87/4, -837/16, 
  -403/4, 331/48, -121/8, -77/16, 2377/16, 93/2, 249/8, 0, -769/16, 
  -17373/80, 21/16, 2499/20, -1417/16, 16697/240, -3973/64, 122197/5760, 
  125579/1152, -26069/768, -19669/256, -21045/256, -35/32, 18789/256, 
  -2297/40, 149/4, 247/8, -57/8, -133/24, 4187/1152, 6293/320, -2282/45, 
  117029/1152, 1219/60, 99/8, -1471/40, -211/12, 53/8, 10307/192, -1787/96, 
  -8989/384, -967/48, -14135/384, 8931/256, -3053/768, 53443/768, -107/72, 
  137543/2304, 8233/48, 58439/320, -272131/1280, 127171/3840, -10805/192, 
  2643/16, 199/2, 901/48, -1749/16, 181/10, -6449/80, -513/8, 45/4, 
  63659/192, 5945/48, -50609/240, -1159/240, 5071/32, -73, -10489/40, 
  -154323/640, 151799/240, 0, 0, 0, -1/2, 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, 1/2, 1/4, -1/4, 0, 0, 0, 0, 0, 
  -1, 1, 1, -1/2, 0, 0, 1/2, 1/8, -1/4, 0, 1/8, -1/4, 0, 1/4, 1/8, 1/4, 0, 
  -1/4, -1/4, 1/8, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 0, 0, 
  0, 0, -1/4, 0, 1/4, -3/8, 0, 0, 0, -1/4, 0, 1/2, 0, 1/2, -3/2, 3/4, 3/4, 
  -5/4, -1/4, 1/2, 0, 0, 0, 0, 1/8, 0, -1/8, -1/8, 0, 1/8, 0, 0, 0, 0, 0, 
  1/2, 0, 1/2, -1/2, -3/8, -1/2, 1/2, 0, -1/2, 0, 0, 0, 0, -1/8, 1/8, 0, 
  -1/8, 3/8, 5/8, 1/2, -3/8, -3/8, 1/4, 0, 0, -1/4, 1/16, 0, -1/4, 0, 1/2, 
  -1/8, 0, 1/4, -1/8, -1/8, -1/4, -3/8, 3/8, -1/4, 5/16, 1/16, 1/16, 0, 
  -11/16, 3/16, 5/16, 5/16, -5/16, 5/8, 25/16, 1, -3/16, -1, -3/16, -3/16, 
  -19/16, -9/16, 1/16, -3/16, -1/4, 5/8, 11/16, 0, 0, 1/2, 1/2, -5/8, -1/8, 
  1/8, 1/8, 0, 0, -1/4, 1/4, 1/2, 5/8, -3/4, -5/8, 3/8, 11/4, 2, 3/4, -9/4, 
  -3/8, -5/2, -31/8, 11/8, 7/4, -11/8, -1/2, 5/4, 7/8, 0, 0, 0, 1/2, 0, 0, 0, 
  -1/2, -1/4, 0, 1/2, 5/8, -1/4, -5/8, 0, 2, 2, -3/2, -1, -31/8, 1/4, 7/4, 
  -1/2, 7/8, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 0, -1/4, -1/16, 1/16, 5/16, 3/16, 
  0, 1/16, -1/4, 3/4, 1, -3/4, -17/16, 5/16, -3/8, -3/16, 3/8, -1/4, 5/8, 0, 
  0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 
  0, 0, -1/2, -1, -1/2, 1, 0, 0, 0, 0, -1, 3, 0, 0, 0, -3/2, 0, 0, 0, 0, 0, 
  1, 0, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0, -1, 0, 0, 2, 0, 1, 0, 0, 0, 0, -1/2, 
  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, 0, 0, 0, 0, 0, 0, 1/2, -1/4, 0, 0, 0, 0, 0, -1/2, 1/4, 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, 1, -1, 0, 0, 11/6, -1/2, -7/6, -3/2, -1/3, 17/6, -4, 
  -1/3, 0, 0, 0, 0, 0, 0, 7/6, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/4, 0, -1/2, 
  0, 1/4, -1/4, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 
  0, 0, 1/4, 0, 0, 0, -1, -1, -7/4, -11/4, 1, 5/4, 0, -19/16, -19/16, 0, 
  19/8, 0, -17/16, 0, 0, 9/16, 19/16, 19/16, -17/8, 0, 19/16, 0, -15/16, 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, 
  1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 7/6, 3/2, 
  1/3, 2/3, 1/2, 1/3, -11/6, 11/6, 0, -7/6, 0, 0, 7/6, 0, -1/2, 0, 1/4, -1/4, 
  0, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1, -3/16, 0, -35/16, 1, 3, 31/16, 
  -1, -49/16, 0, -31/8, -43/16, 0, 69/16, 0, 13/8, 45/16, 0, -9/16, 0, 0, 0, 
  0, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 0, 
  0, 0, 0, 0, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 1/4, 0, 0, 
  1/4, 1/2, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 19/6, -3/2, -1/8, 0, 1/4, 1/4, 
  -1/4, -1/8, -1/6, 1/3, 5/3, 0, 0, 1/4, 0, -3/4, 0, -3/4, 0, 19/12, 3/4, 
  -1/2, -5/2, 3/4, 3/4, 1/2, 3/4, -3/2, 1/4, 3/2, -5/4, 1/4, 1/4, 1/8, 0, 
  1/2, 1/8, -1/4, 0, -1/4, 1/8, -2/3, -4/3, -1/4, 31/36, 11/24, 0, 0, 0, 0, 
  0, 0, 0, 1/2, 0, -7/18, 0, -3/8, 1/4, -7/4, 1, -5/4, -7/4, 0, 0, 0, 0, 0, 
  -7/8, 0, 0, -5/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1/4, -3/4, -1/8, 
  3/8, 0, 0, 0, 1/8, 0, -1/8, 0, 0, -1/8, 0, -1/4, -1/2, 1/4, 1/8, -1/8, 0, 
  0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/8, 1/8, 0, 0, 0, -3/8, 11/8, -1/2, -7/8, 
  -13/8, 1/2, 9/8, 0, 0, 0, 0, 0, 0, 1/16, 1/16, 0, -9/8, 0, 0, 0, 3/16, 
  -9/8, 0, 0, 0, 1/2, 3/8, -3/8, 1/2, -3/4, -3/8, 1/2, 0, 0, 0, 0, 0, 0, 1/8, 
  1/8, 0, -1/4, 0, 0, 0, 0, 0, 0, 3/2, 0, -3/2, 0, -3/2, -1/8, 0, 1/4, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/8, 0, -1/4, 0, 0, 0, -1/2, 0, 0, 1/4, 
  -1/2, 0, 0, 0, 0, 0, 0, -3/4, 0, 0, 0, 0, 0, -2, -3, -1/4, -3/4, 1/4, -7/6, 
  0, 0, 21/8, 0, -3/4, 5/2, 4/3, -19/12, 3/2, -1, 1/3, 7/6, 5/6, 0, 2/3, 1/6, 
  -3/4, 7/12, 0, 3/2, 79/24, 0, 5/12, 7/12, 0, 1/3, 5/24, 0, 0, 0, 0, 1/4, 
  1/2, -1/4, -7/8, -7/6, -3/4, 7/12, 23/12, 11/6, 0, -4/3, 7/12, 5/12, 1, 
  -5/12, -7/6, 1/2, 17/12, -2, -5/18, 1/6, 11/8, -3/2, -1/48, 0, 0, 0, 0, 
  -1/4, -1/4, -7/12, -7/6, -7/12, 5/6, 11/8, 7/6, 1/6, -7/6, -7/4, -1/2, 
  17/9, 19/48, 0, -5/12, -7/6, 0, 1/3, 0, 11/12, 1/6, 1/4, -1/12, 1/3, 5/36, 
  1/12, 1/8, 0, 0, 1/2, 0, -3/4, 0, -1/4, 1/8, -1/12, -5/6, 0, 17/36, 1/12, 
  0, -9/8, -11/8, 15/8, 21/8, -1/4, 1/4, 3/2, 5/4, 1/4, -1/8, -3/4, -2, 3/8, 
  -1/8, 11/8, -1/8, 1/2, -17/8, -17/16, -1/4, -9/4, -1/2, 7/4, 0, 9/8, 15/8, 
  0, -1/4, -3/4, 11/8, -5/16, -1, 1/2, 1/8, -2, -1/4, 11/8, 0, 3/8, 17/8, 
  -3/8, 1/8, -5/4, 1/8, -1/2, 25/16, 17/16, 1/4, 15/8, -3/4, -3/2, 5/4, 0, 
  -1, 5/4, -1/8, 1/8, 29/16, 0, -5/8, -1/16, 1/4, 15/16, -7/8, -43/16, 0, 
  -1/8, -35/16, 1/8, -11/8, 11/4, -3/2, 11/4, -11/4, -11/8, 1, -1/4, -3/8, 0, 
  0, 0, 1/8, 0, -1/8, 0, 0, -1/8, 0, -1/2, -1, 1/2, 1/4, -1/4, -1/2, 0, 3/2, 
  0, -1, 5/4, 0, -3/2, 0, -3/4, 0, -1, 3/2, -1, -7/8, 3/2, 0, -3/2, -3/4, 
  9/4, 9/4, -1/2, -9/4, 1/4, 1/8, -1, 0, -3/4, 0, 3/4, 0, -3/4, -11/8, -3/4, 
  9/4, 7/8, 0, 1/2, -1/2, 0, 0, 3/2, 0, -1, 5/4, 0, -11/8, 0, -1/4, -1, 7/8, 
  3/2, 1/2, -1/8, 0, 1/8, 0, -3/4, 0, 0, 0, 0, 0, 0, 1/8, 0, -7/16, 0, 0, 
  1/4, 0, 0, 0, -5/16, -1/8, 1/16, 3/8, 1/16, -1/8, 1/4, -1/16, -3/16, -5/8, 
  -1/8, 0, 1/16, 0, 0, 0, 1/4, -1/16, -1/4, -5/8, 5/8, 1/16, 0, 1/16, -9/8, 
  0, 0, 0, -1/8, 1/16, 1/8, 3/16, -37/16, 0, -9/8, 0, 0, -3/4, 0, 0, 0, 0, 0, 
  0, 0, 0, -7/16, 0, 0, 0, 0, 0, 0, -1/8, 1/8, 0, 1/8, 0, 1/4, -5/16, -9/16, 
  3/8, 0, 1/8, 0, -3/16, 0, 1, 0, -1/2, 0, 11/16, 11/8, 0, 0, 0, 0, 0, 0, 
  1/8, 0, -1/16, 1/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1, 0, 1/2, -1/2, 0, 0, 0, 0, 
  -2, 0, 1/4, -1/4, 0, -1/2, 0, -7/4, 0, 0, 0, -5/8, -3/8, -1/2, 0, 0, 3/16, 
  0, 7/8, -1/4, -5/8, 1/16, 1/8, -37/16, -2, -1/4, 0, -5/16, 9/4, 15/16, 
  -1/16, 11/16, 1/2, -11/16, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 1/4, -1/2, 7/8, 
  -7/4, 1, 0, 0, 0, 0, 1/2, 1/4, 0, 1/2, 0, -1/2, -2, 0, 17/8, -15/8, -7/4, 
  13/8, 0, 0, 0, 0, 0, 1/4, 1, 1, 0, 0, -3/2, -1, -5/2, 1/2, 3/2, 1/2, 1/2, 
  3/2, 0, -5/2, -1/2, 1, 11/6, -5/4, -5/2, -1/4, -2/3, 7/4, -1/12, -11/24, 
  5/16, 7/48, -3/16, -5/16, -5/12, -55/48, 29/16, 1/6, 0, 11/24, 0, -5/16, 
  -3/4, 0, 1/4, -3/8, 1/12, 0, 11/24, -5/16, -5/48, 0, 27/16, 29/16, 0, 1/2, 
  -1/4, 3/4, -5/4, -9/8, -1/4, -3/2, -21/8, 7/8, 9/8, 31/16, 1/8, 37/12, 1/4, 
  -25/8, -23/4, -41/16, 7/6, 5/4, -133/48, -23/8, 113/144, 17/16, 1/4, 
  -31/24, 0, 1/2, 41/12, 0, 3/2, -7/4, -1/8, 3/16, 1/4, -5/4, -19/8, 11/8, 
  3/8, 13/16, -3/4, -29/16, -77/24, -27/8, 5/2, 7/8, 23/16, 5/2, -21/16, 
  -7/16, 125/48, 91/48, -11/4, -169/144, 21/16, 0, 0, 0, 0, 1/4, 0, 0, 5/2, 
  1, 1/2, 0, 1/4, 5/8, -5/2, -3/8, -5/4, -3/4, -197/48, -151/24, -9/4, 4, 
  13/4, 21/16, 33/4, -7/8, -71/48, 41/48, 14/3, 11/8, -47/24, -3/4, 0, 0, 0, 
  -15/8, -1, 21/8, -3/8, 1/2, 0, 19/8, 15/8, -21/8, 5/4, -3/8, -15/8, 0, 
  -3/4, -151/24, 0, 6, 3/8, 7/24, 35/4, -15/8, -95/48, -5/8, 25/6, 3/4, 
  -29/24, -1/4, 3/4, 1/8, 7/16, -1/4, 17/16, -59/64, -5/4, 1/4, -41/32, 
  -15/8, 0, -7/8, 5/4, 0, -1/2, 1/16, -83/64, -7/8, -75/64, 17/32, -1/8, 
  53/32, -1/8, 15/4, 97/32, 1/2, -13/8, -37/16, -3/8, -7/16, 7/16, -1/2, 
  17/16, -79/64, -53/64, 1/4, 1/2, 53/32, -5/4, 15/8, 51/32, -9/8, -13/8, 
  -7/16, -3/8, 7/16, 1/16, -11/16, -1/2, -1, 11/8, -17/16, 21/32, -43/16, 0, 
  1, -1, -1/8, 1/8, -9/4, 1/2, 1/4, 23/8, -9/8, -13/8, 0, -21/8, 15/8, 5/8, 
  7/4, 1/8, 5/8, -5/4, 1, 1, 1/2, 0, 1, 7/32, -5/8, -1/2, 11/32, -1/8, -1/2, 
  0, -7/8, 21/16, 3/8, 9/8, 1, -1/2, 3/8, 9/4, 29/8, 91/32, -21/8, 1/8, 
  -17/8, -29/8, -5/2, -53/16, 5/2, 1, -3/2, 1/2, 3/4, -1/4, -1/2, -71/32, 
  1/4, 0, 47/32, -11/8, -11/8, 0, 3/4, 29/16, 0, 2, 5/8, -3/4, -9/8, -3/8, 
  -1/4, 3/2, 1/8, 31/32, 2, -5/8, -9/8, -5/4, -11/8, -33/16, 0, 5/2, 1/2, 0, 
  -1/4, -15/32, 1/4, 15/32, -7/8, -1/8, 0, 1, 9/16, -1, 3/2, 5/8, -3/2, -9/8, 
  -1/2, -1/4, 3/2, -1/2, -5/32, 0, 3/2, -5/8, -1/2, 1/8, 11/8, -37/16, -3/4, 
  21/8, 5/4, 1/16, 1/8, -1/16, -1/16, -7/8, 1/16, 3/4, 1/8, 0, -3/8, 1/2, 
  -1/2, 0, 9/8, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 3/16, -5/32, -5/32, -1/16, 
  -7/8, 5/32, -9/32, 1/2, -39/16, -21/16, 21/16, 47/16, 1/8, 0, 0, 0, 1/2, 
  1/8, -5/32, -1/2, -1/16, 1/8, -13/16, 5/32, -1/4, 1/2, -43/16, -43/32, 5/4, 
  93/32, 1/2, 0, 0, 0, 0, -1/4, -1, 0, 9/8, 1, -3/8, 5/4, 1/4, 1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, 15/32, -9/32, -3/8, 15/16, 15/16, -15/16, 
  -33/16, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 15/32, 0, -17/16, 0, -1/2, 0, 1/32, 
  0, 0, 1/2, 0, -1/2, 0, 0, 0, 1/4, -1/2, -1/4, 5/8, 0, -7/8, -5/8, 3/2, 2, 
  -3, -2, 3/2, -29/8, -2, 29/8, 17/8, -1/2, 1/2, 1/2, 0, -1/2, 1/4, -1/2, 
  31/32, -9/8, -15/32, 0, 0, 7/8, -1/4, -17/16, -5/8, -1, -1/2, -2, -2, 1/8, 
  17/8, 0, 0, 1/2, -1/2, 1/2, -1/2, 0, 0, 0, -15/32, 0, 15/32, -5/2, 1/2, 
  11/8, 0, -3/16, 2, -9/8, 3/4, -1/4, -13/4, -1/4, 9/4, -7/4, 3/4, 3, 11/8, 
  7/8, -3/4, -3/8, 0, 1/2, 0, 0, -1/2, -1/2, 0, 0, 0, -1/2, 0, 1/4, 1/4, 1/2, 
  -1, -2, -2, 3/2, 9/4, 1/2, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 1/2, -1/4, -1/2, 
  -5/2, -1/4, 17/8, -5/8, -11/8, -9/8, 7/8, -5/8, -3/2, -2, 0, 7/2, 2, -2, 
  17/8, -1, -31/8, 3/4, 2, 1/2, -1/2, 7/8, -3/4, 3/8, 0, 39/32, -5/16, 
  -15/32, -7/8, 0, -1/2, 7/16, 0, 7/8, 3/4, 1/2, 3/4, 1/4, -1/16, -1/4, 0, 
  17/16, -13/16, -5/16, 0, -3/4, -3/4, -1, 7/16, 3/16, -1/2, 9/16, 7/8, 1/4, 
  -1/2, 1/4, -5/8, -1/2, 0, 0, 0, 3/4, 15/8, 1, -7/8, -5/16, 9/8, 1/2, -1/2, 
  1/2, -9/8, -5/4, 1, 3/8, -1/8, -5/4, -3/8, -1/8, -1/8, 1/2, 0, -1/4, 
  -91/48, -3/4, 11/8, -3, 5/8, 17/16, -1/16, -1/8, -5/48, 0, -21/16, 45/16, 
  47/16, -1/2, -13/16, -3/16, 1/2, 1/4, -1/6, -1, -9/16, 3/4, 3/16, 37/16, 
  43/16, -15/16, -27/16, 15/16, 1/4, -5/8, -3/16, -7/32, 7/32, 23/32, -9/16, 
  -1/2, -23/16, -33/64, 47/64, 1/8, 1/8, -3/8, -31/32, 17/16, 65/32, 13/32, 
  81/64, 17/64, -3/4, 1/2, 3/4, -103/32, 5/32, 5/8, -1/8, 7/32, 3/8, 1/4, 
  -5/16, -87/32, -9/4, -11/64, 71/64, -1/16, -19/32, 5/32, -1/2, 5/2, 189/64, 
  17/32, 15/16, 21/32, 13/16, -15/4, -31/32, -3, -3, 5/64, 3, 3/16, 17/8, 
  79/16, -91/64, 75/32, 9/8, 3/4, -5/8, -2, 1/2, 1/4, 0, -1/2, -1/8, 0, 
  -1/16, -1/8, 1/16, -7/16, 0, 1/4, -1/4, 0, -1/4, 5/4, -1/16, 1/2, -3/16, 
  3/4, -1/16, 1/4, -1/2, -13/16, 3/2, 1/4, 17/16, -1/4, -1/4, -5/8, 1/16, 1, 
  -9/16, 0, 3/2, 7/16, -1, -3/8, 5/16, -23/16, -1/8, 3/8, -5/4, 1, 9/16, 
  -5/8, -3/16, -35/16, -31/16, 51/16, 15/16, 1/16, -1/4, 5/8, -17/16, 0, 0, 
  -1/32, -1/4, -5/16, -1/32, 5/16, 0, -1/16, -1/16, 1/32, -1/4, 0, -1/8, 
  -5/16, 9/32, -5/4, -51/32, 1/8, 3/4, 3/16, 65/32, 1/32, 1/16, -1/32, 15/16, 
  -5/8, -3/8, 0, 0, 0, -1/4, 0, 0, 5/32, 0, 1/2, 3/32, -1/16, 1/16, -5/16, 
  7/32, 5/16, 0, -3/4, -1, 0, 3/4, 17/32, 9/4, -1/4, -41/32, 1/4, -11/16, 0, 
  0, -1/4, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 1/4, -3/16, 0, -5/16, -3/4, 5/16, 
  -1/8, -1/16, -3/4, -1, 0, 1, 1, 0, -3/4, 0, 17/16, -5/4, -21/16, 11/8, 
  -5/8, 0, 21/16, 5/8, -3/2, -7/4, 3/2, -1/4, 29/8, 2, -29/16, -17/8, 1/2, 
  -1/2, -16/9, 0, 5/2, 0, 0, 0, 0, 0, 0, 16/9, 0, 0, -8/3, 0, 0, -3/2, 0, 0, 
  3/2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -16/9, 0, 0, 0, 0, 2/3, 1/2, 
  1/2, -1/2, 1, -7/6, 1, 0, -1, 0, 0, 4, 43/12, 1, 43/12, 1, 5/2, -1, 0, 0, 
  0, 0, -3, 0, 13/8, -23/8, 0, 0, 0, 0, 0, -3, 13/8, 9/2, 0, 0, 0, 0, 43/12, 
  -1, -5/2, 1, 0, 0, 8/3, -8/3, 0, 16/9, 0, 8/3, -16/3, 1/18, 3/2, 0, 0, 
  -16/9, 0, 16/9, 0, 0, 0, 0, 5/2, 0, 0, 3, 0, 0, 0, 0, 0, 3/2, -2, 0, 0, 0, 
  -8/3, 1/18, 3/2, 13/18, 3/2, 1/18, 9/2, 3/2, 3/2, -2, 1/2, 11/2, 1, 1/2, 0, 
  -1441/8, 101/2, -1451/8, -2, 19/4, -3/2, -4, 19/8, 7/8, -19/8, -19/8, 0, 
  -2, -3, 5/2, 19/8, 0, -19/8, 0, 4, 133/40, 1/5, -479/120, 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, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, -11/6, 5/6, -2, 3/2, -1/2, 0, 
  -13/8, 15/8, 0, -1/2, 0, -13/8, -7/2, -1, 2/3, -2, 6, -9, 0, -1, -3/2, 7/8, 
  7/8, 0, 0, 5/24, 0, 0, 0, 5/6, 0, 0, 0, 0, 16/9, 0, 2, 0, 0, 4, 0, 0, 0, 
  13/18, 3/2, 2/9, -16/9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13/18, 3/2, 31/18, 
  31/18, 2101/80, -30801/80, -3515/8, 3069/8, 203/8, 23/2, 0, -19/2, -21/4, 
  -1/4, 23/4, 1/2, 0, 0, -11/8, -35/8, 15/8, -21/20, 53/120, -281/40, 
  1427/120, 1953/80, -353/16, 2019/40, 2731/8, -21/4, -21/4, 19/4, 13/4, 1/2, 
  0, 0, 19/8, 9/40, 33/40, 9/40, -1061/120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, -385/36, 2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/16, -3/16, 3/4, -1/2, -1/2, 0, 0, 0, 0, 0, 
  0, 0, 0, -1/2, -1/4, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/2, -9/4, -1/4, 
  -1/8, -1/8, 1/4, 79/12, -1/4, -11/3, 10/3, 4, 9/5, 0, 0, 0, -4/3, 3, 85/12, 
  41/4, -5, -10/3, 0, 0, 0, 0, 0, 4/3, -7/16, -13/4, -13/4, -5, -3/2, 7/6, 
  -19/24, 1, -107/24, 0, 29/24, 0, -3/4, -43/24, 0, 31/8, 35/32, -107/32, 
  -1/4, -1/8, 0, -1/4, -1/8, 0, -1/8, 0, -1/8, 17/24, 0, 19/32, 31/8, -91/32, 
  1/4, 1/8, 0, 1/4, 1/8, 0, 0, 0, 0, -19/16, 0, 7/16, -1/4, -23/12, 1, 7/4, 
  13/6, 31/8, -5/4, -115/24, 0, 13/12, 0, -3/2, -13/12, -1/4, 0, 1/4, -47/36, 
  0, 1/8, 0, -1/8, 7/12, 3/16, -3/16, 1/4, -1/2, -1, 0, 1/4, 0, -1/4, 5/12, 
  0, 1/4, 0, -3/8, -7/12, 0, -1/2, 5/4, 1, -1/2, -3/4, 3/4, 0, 0, 0, 0, 5/3, 
  49/36, 0, -67/36, -7/18, 0, -5/36, 0, 41/36, -49/36, 52, -2157/80, -7/4, 
  3/2, 1/4, 19/16, -1/4, 0, -19/16, 3/8, 3/2, -1/4, 1/4, -23/16, -1/4, 0, 0, 
  0, -41/20, -1/80, 0, 0, -1/16, 1/16, 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, -1/8, -1/16, 3/16, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 1/16, 0, -1/32, 0, 0, 0, 0, 0, 0, 0, 0, 8384/9, -832/3, -464, 
  -464, 1/2, -1/4, 1/2, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  3/2, 367/36, -5/2, 0, -2912/3, -7424/9, 16832/9, -2912/3, 0, 6416/9, 0, 0, 
  0, 5312/3, -1/2, 1/4, 0, -307/18, -9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 
  -3/4, -1/8, 1/4, -9/8, -5/8, 0, 0, 0, 0, -1/32, 3/32, -3/32, -1/4, 1/32, 
  -1/8, 1/4, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 0, 
  -68/27, -61/24, -131/54, 0, 0, 0, 576, 338, 11/3, -17/6, 16, 11/2, 37/12, 
  15/4, -35/18, -17/6, 3/2, 41/3, 1/3, -87/16, 131/12, -113/36, -1/8, 0, 
  35/8, 7/32, 81/32, 43/12, 0, 0, -1/8, 37/96, 35/8, 227/96, 0, -43/12, 
  155/48, -71/48, 0, -35/6, -1, -85/24, 13/3, 67/24, 13/4, -576, 2144, 
  7151/6, -338, -137429/60, -2889/5, 0, -338, 0, -9/5, 105783/275, -338, 
  -81408/275, -10149/10, -1190, 0, 45883/20, -10079/10, -11/4, 0, 42581/30, 
  47/15, 0, -210741/550, -4/3, 146363/275, 13/4, 16/3, 0, 74/3, -5, -103/6, 
  -217/24, 5, 73/6, 0, -461/16, 5/4, 5, 21/4, 31/4, 101/3, 47/2, -31/4, 
  -152/3, 1, 365/12, 31/4, -35/4, -551/12, -4/3, -31/8, -31/8, 4/3, 661/48, 
  -157/16, 643/96, 89/12, 277/12, 1/24, -7/4, -7/6, -53/72, -413/72, -29/4, 
  13/6, 311/48, 187/12, -53/36, -10, -19/12, 11/4, 277/12, -611/72, 41/12, 
  19/8, -1/3, 1/4, -39/8, 11/12, 0, -1/32, -31/32, 0, 0, 0, 3, 25/16, -29/16, 
  -3, -9/16, 101/24, 25/16, -9/4, -3, -1/8, -1/4, -1/4, 0, -3/8, 7/12, 5/96, 
  0, 11/12, -37/96, 0, 0, 0, -3, -91/48, 103/48, 3, -17/16, 5/48, 0, -29/24, 
  -5/48, 0, 1/8, 0, 1/8, -17/24, 1/4, -1, -3/16, 1/2, -73/48, 41/24, -9/8, 
  83/24, -11/6, -59/12, -55/24, -53/12, 3/2, 5/12, -3/2, -3/2, -5/12, 1, 
  13/4, 9/4, -11/4, -8/3, -1/4, -1/4, 1/4, 3/4, 17/9, -1/2, -17/9, 14/9, 1/8, 
  -199/72, 47/36, -1/8, -3/32, -1/2, -3/2, 0, 1, -7/6, -101/72, -1/4, 1/8, 
  133/72, 0, 1/4, 0, 1/2, 15/4, 127/36, -163/36, 2/9, -5/4, -20/9, 1/2, 11/9, 
  13/18, 229/72, 25/6, 3/8, -43/24, 197/36, -19/48, 1/2, 965/144, -29/36, 
  7/8, 145/72, -1/8, 1073/144, -5/9, 3919/288, 0, -205/32, 1/2, -3/4, -77/36, 
  5/8, -5/8, -14/9, -1/8, -199/72, 1/4, 19/72, 5/18, -1/8, -1/8, 5/4, 1/8, 
  -11/9, -11/4, -7/32, 0, 3/2, 0, 1/2, 3/32, 5/8, 1/32, 0, 19/32, 3/32, 
  17/32, 3/4, 7/4, 1, -7/4, -131/72, -1/4, 3/2, 0, -13/8, 31/72, 0, 1/2, 0, 
  -5/8, -1/6, 0, 0, 1/4, 3/4, 0, 0, 0, -5/6, -2, -1, 2, 1/2, 0, -1/4, 0, 1/4, 
  -7/4, 0, -3/4, 0, 7/8, 1/2, 5, 34/9, 1/2, -34/9, 35/36, 5/18, 0, 245/72, 
  37/9, 5/8, 83/72, 1/4, 127/36, -229/144, 25/6, 4, -1/2, -23/72, 55/18, 
  19/8, 157/24, -1, -103/36, -419/48, 7/3, 11/9, -5/4, -13/18, -73/12, -24, 
  13/4, 1/2, -15/8, -19/8, 25/4, 19/8, 81/8, 31/4, -13/2, -29/4, -1/4, -1/4, 
  -103/16, 7, 0, 0, -59/8, -7/8, 29/60, 7/2, -10101/80, -845677/2880, 
  -2759/15, -2307/20, 17347/120, 10189/48, 89321/120, -352481/240, -77/3, 
  -24013/288, -2698441/2880, -102307/480, 23507/80, -1059/2, 10889/45, -5/4, 
  85843/80, -3587/120, -201/4, 21329/480, 1469/8, -412961/480, -5105/24, 
  2563/8, -372889/1440, -17/4, -11, 23/2, 55/8, 11/2, -249/16, -23/4, 249/16, 
  67/8, 11/2, -223/16, -23/4, 223/16, 27/8, 21/8, 75/16, -13/2, -97/16, 5/8, 
  -79/8, -235/16, 21/4, 205/16, -29/8, 0, -7/16, 1/8, 7/16, 0, 0, -31/4, 0, 
  55/8, 0, -9/8, -55/8, 0, 0, 0, -1, 25/16, 59/8, -9/2, -33/16, 0, 3/2, 0, 
  85/8, -1, 0, -7/2, 0, -15/4, 31/8, -11/4, -1291/240, -11/3, 59/16, 413/60, 
  1397/240, 21/40, -1693/240, -1727/480, 7/6, -493/120, -2953/480, 251/80, 
  481/120, 587/80, 2419/240, 45/32, -979/48, -673/60, -809/80, -1487/240, 
  1259/240, 733/60, 1733/240, -17/96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 1/32, 0, 1/32, 
  -17/96, -1/32, 0, 0, -1/16, -17/96, 1/16, 0, 0, 0, 0, 0, 0, 1/4, 1/4, -1/8, 
  1/4, 1/32, 1/32, -1/32, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, -1, 0, 0, 0, 0, 
  0, 1/8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -13/8, 0, 0, 0, 0, 0, 0, 
  0, 165/32, 1/2, -165/32, 13/8, 165/32, 165/32, 1/2, -11/16, 0, 9/32, -7/32, 
  1/2, 15/32, -1/8, 1/16, -3/8, 5/32, -9/32, 1/16, -15/32, 5/32, 9/32, -1/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/16, 0, 0, 0, 0, 0, 0, 9/32, 0, -7/32, 1/4, 
  1/2, 15/32, 1/32, 1/16, 1/32, -1/32, -3/32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -15/2, 0, 0, 0, 0, 0, -1, 3/4, 0, 0, 0, 
  0, 31/8, 95/16, 0, 1/4, 0, 0, 0, 11/16, -7/8, -439/144, 2555/4, 209/24, 
  7/4, -14089/18, -1/2, 3/2, -25/12, 377/24, -11/12, -169/24, -101/4, 0, 
  -4/3, -17/6, 0, 13/12, -275/12, 147/8, 25/9, 155/24, 37/8, -3/2, -23/2, 
  3/2, 55/8, -45/4, 3/2, 121/8, 23/4, -1/8, 0, 2, 1/2, 1/4, 55/36, -55/36, 1, 
  1/4, 257/18, 5/8, 15/8, -5/8, 0, 41/8, 0, -27/2, 0, 67/8, -103/8, 0, 71/4, 
  61/8, -1/4, 0, 17/8, 11/8, 1/4, -1, 0, 3, 0, -2, -23/8, 0, 31/4, 61/8, 9/8, 
  0, 1/2, 9/8, 1/4, 1/2, -17/16, 27/16, -19/32, -27/16, 9/8, 3/4, -2263/192, 
  1/32, -1/4, -1/4, 0, 553/24, -15/16, -7/8, 2287/192, -2353/288, 0, 
  -2339/64, 2353/288, 2365/96, -2359/192, -1/4, 2407/144, 1/4, 31/8, 
  -1909/96, -2407/144, 0, -2353/288, 0, 0, 2479/288, 0, -2275/192, -1/4, 
  5255/288, 1/4, -2653/192, 27/8, 73/16, -5201/288, 1/2, 0, 0, 0, 0, 9/32, 0, 
  0, 1/4, 1/2, 0, 0, -1/4, -7/32, -1/4, -5/4, 1, 7/4, -1/2, 0, 1/4, 0, -1/4, 
  0, -1/8, -1/8, 1/8, 1/4, -45/16, 0, 27/8, 1/4, 0, 0, 0, 0, -1/8, 0, -1/16, 
  0, 0, 3/8, -1/2, 1/2, 1/2, -3/4, -1/2, 1/4, 0, 0, -41/24, -34/9, 34/9, 
  41/24, -107/48, 34/27, 43/48, -131/36, 131/36, 131/108, 0, 0, 0, 41/72, 
  34/27, 41/72, 43/48, 131/108, 73/48, 25/16, 181/96, 57/32, 3/16, 31/16, 
  37/12, -475/96, 2371/288, -871/288, 61/24, -889/288, -1/32, 0, 299/128, 
  213/32, -299/128, -213/32, -61/96, 0, 499/128, -1/32, 61/96, -499/128, 
  75/32, 45/32, 349/96, -517/96, -173/48, -45/64, -1445/192, -71/32, -9/32, 
  59/8, 49/64, -13/8, -10, 56947/72, 89/48, 3479/6, -221939/360, 16075/48, 
  -3507/20, 1/4, -17/4, -1507/96, -17/4, 209/48, 9/4, 17/3, -161/24, -53/6, 
  139/24, -41/12, 1357/96, -413/96, -43/16, -1825/96, -11/32, -1/24, 
  -1985/288, 9/16, 61/12, -155/48, 3373/288, -433/72, 405/32, 763/288, 7/6, 
  3, 9/4, 287/48, -19/12, -49/12, -11/4, -199/24, -751/144, 169/48, -73/12, 
  13/36, -143/48, -97/16, 83/96, -27/16, 47/32, -41/32, -115/24, 53/32, 
  395/72, 107/24, -83/9, 323/48, -239/36, 5207/288, 229/96, -1/4, -3/8, 
  83/96, 1/12, 119/48, -1/4, 9/8, 13/32, -135/16, 211/48, -205/96, 169/32, 
  -313/96, 4577/288, 499/288, -5/32, 0, -3/32, 1/12, 3/32, -1/12, -4/3, 0, 
  -567/128, -245/24, -193/128, 67/8, 1/24, -1/8, -247/192, 65/64, -5/48, 
  1/16, 29/64, 5/16, -1, -89/64, -55/96, 0, -1/8, -11/12, 1/8, 5/8, -5/48, 
  1/16, 29/64, 5/16, -29/64, 0, 81/64, -89/64, 0, 0, 0, -5/32, 0, 0, -11/8, 
  0, -767/128, -115/24, 13/12, 149/384, 5/24, 17/24, 11/12, -9/16, -5/8, 
  -19/48, 11/16, -1/16, 33/16, -11/12, 7/2, 0, 0, 0, -1/16, 0, 49/32, 0, 3/8, 
  0, -23/32, 1/2, 1/2, 19/16, -35/8, 25/8, 175/32, -3/4, -3/2, 93/16, 5/16, 
  0, 3/4, -131/16, 1/2, -7/16, -3/4, -1/2, -5/4, 2/3, 3/2, 1/4, 29/12, 
  -167/48, 2, -5/12, 65/48, -1, 85/32, 23/8, 1, -35/24, 5/2, 29/12, -279/64, 
  65/48, -13/48, 67/64, -59/32, 1/32, -47/96, 131/192, 11/8, -1/4, 19/32, 
  3/2, -11/12, 21/16, 5/8, -187/96, 125/48, 0, -13/64, -19/32, -37/16, 
  -11/48, -217/96, 13/16, -13/9, 401/144, -601/144, 2465/576, -1505/576, 
  49/48, -595/384, -3/16, 83/192, 7/16, -3/8, 923/192, 25/32, 0, -1/2, -1/8, 
  -7/4, 317/48, -19/24, 93/8, 149/72, 9/32, 665/72, 52/9, 575/144, 1/8, 
  -551/48, -47/72, 225/16, 1675/72, 523/144, 11/4, -31/12, -1/6, -1/24, 
  -623/144, 151/72, 5/24, 611/144, -2681/576, -3/8, 0, 1625/576, -49/48, 
  -19/36, 1/4, -1/18, 5/6, -9/4, -385/144, -217/48, 1, -239/72, 407/192, 
  -1/4, 163/36, 43/48, -11/24, -3127/288, -23/24, 83/24, -23/36, -11/12, 
  -329/144, -535/144, -391/48, 523/144, -1243/192, 1111/192, -1/4, 3353/576, 
  -1/16, 7/8, -307/48, 1/24, -3, -983/144, 2, -113/72, -499/144, 2, 577/144, 
  1/24, 463/192, -2/3, 5675/576, -7/12, 367/64, -9/16, -503/64, -9/32, 0, 
  -41/32, -3/32, -1283/192, 15/32, 19, 3/32, -311/16, -1/4, -71/96, 7/32, 
  7109/6912, 1151/96, 1/2, -1/4, -11/32, -1199/96, 1/4, -4229/6912, -10, 
  -34183/2304, 1049/96, 32855/2304, -37/64, -7/32, -15/16, -7/64, -29/32, 
  -9/8, 5/64, 23/32, 9/32, -1/8, 16601/1728, 1201/192, -29431/2304, -67/16, 
  34007/2304, 1/4, -3/4, -15/16, -17/8, -17/16, -1, -55/64, 23/32, 7/32, 
  -1/8, -1757/864, 1291/192, 13481/2304, -69/16, -11641/2304, 3/8, -3/2, 
  -3/8, 3/2, -67/16, -3/8, 3/2, 1/18, 0, 0, -8363/1440, 0, -2813/960, 0, 
  -1/4, 25/48, -215/192, 1/2, 7283/1440, 1141/320, 25/144, -1, -1/8, 1/48, 
  21/32, 0, 37/96, 1, -21/64, -99/64, -67/96, 61/64, 8483/1440, -97/48, 
  1181/320, -25/8, -3/8, 21/32, 3/2, 3/8, -111/64, -3/2, 313/64, 3/8, -19/32, 
  -3/2, 211/192, -9/16, 1/8, 155/72, -11/8, -2, -1/32, 229/72, 137/72, 8, 
  77/24, -229/144, 35/16, 1345/144, 1/2, 73/24, -15/8, 11/8, 3/2, -97/32, 
  -5/4, 131/72, 5/4, 41/12, -41/12, 817/144, 43/16, 269/72, -121/36, 37/12, 
  -137/144, -35/24, -157/24, -157/36, -21/16, -305/48, -137/48, 403/144, 
  67/16, 69/4, 107/24, -95/8, -2851/144, -245/36, 0, 185/72, -47/24, 0, 
  -401/72, 0, -13/8, -221/48, 365/72, 101/16, -5/72, 193/16, -47/8, -1913/72, 
  -467/48, -7/2, 119/12, -65/6, -37/6, 942157/5760, 821063/960, 4011563/2880, 
  1619/8, 3/16, 288337/480, -445091/960, -9899/32, -487987/960, -147/16, 
  25/16, -55/8, -1390927/960, -109/32, -4146473/2880, -283/4, -1/24, 37/24, 
  0, 1/4, 55/24, -5/4, 31/24, 95/48, 23/8, -203/24, -277/24, 67/6, 247/16, 0, 
  39/16, 17/24, -199/48, 23/8, -1/8, -29/12, -277/24, 15/8, 67/6, 25/4, 
  223/16, -13/8, 2, -25/16, -173/24, -1/8, -1/2, 49/32, 1/4, 127/24, -1/3, 0, 
  1/2, -3/2, -7, 5/6, 11, 0, -7, -5/16, -49/16, 1, -5, -17/16, 43/6, 49/16, 
  0, 37/4, 1/4, -243/320, -3319/960, -161/64, 37/8, -127/60, -4621/480, 
  -6193/1920, 1487/120, 7079/640, -163/16, 3/32, -821/120, -13853/1920, -4, 
  927/128, 103/16, 0, -29/4, 0, 0, 29/4, 0, 1603/160, 3229/480, -1559/160, 
  -12127/1440, 53/8, 55/16, 1, -33/4, -27/4, -57/8, -15/4, 3/2, 19/16, 23/4, 
  103/16, 73/4, 111/8, -137/16, -89/8, -3/4, 0, 3/4, 3/4, 0, 13/32, 1/2, 
  13/8, -19/32, -67/192, -13/8, -1/192, 15/8, 11261/576, -13/16, 3247/192, 
  -3439/1152, -15077/384, -2, 5/48, -4897/576, -3/4, 423/128, 5941/576, 
  15557/384, -2155/192, 7435/1152, 3/16, 21259/384, -2755/1152, -15029/384, 
  2179/192, 17/48, -5305/576, -1/8, 15917/1152, 111/128, -9/16, 6193/576, 
  14981/384, 11/16, 5743/1152, 3/16, 15973/384, -1099/1152, -14101/384, 
  1639/192, 17/48, -3613/576, -1/8, 32765/1152, -109/128, -1183/192, 
  4609/576, 5361/128, 0, 0, 0, -1113/160, 0, 1143/160, 0, 1/2, 0, 853/160, 
  7/4, 3/8, 1, 17/16, -3/2, 5/8, 1, -7/8, -3/8, 769/160, 275/72, 5/4, 11/16, 
  1/4, 9/16, -1, 1/2, -17/16, 0, -3/2, 17/16, 1, -1/2, 5/4, 13/16, -3/4, 
  121/16, 7, -3/8, -205/16, -6, 0, 0, 0, 0, 5/4, 0, -5/8, 0, 5/4, 0, -9/8, 
  7/16, 0, 0, 2, 2, 0, 0, 27/2, 0, 0, 0, 0, 3/2, 17/8, 1/2, -93/8, -17/4, 
  -11/2, -7/4, 5/4, 77/4, 1/4, 1/4, 0, -3/2, -1/2, 0, 0, 3/2, 0, 25/16, -3/2, 
  -25/16, 0, -3/2, -25/16, 0, -1/2, 0, 3/4, 1/4, 0, 5/16, -559/1152, -3/32, 
  -16549/384, -3437/1152, 14485/384, -45/8, -19/12, 12229/576, 69/16, 
  -747/64, 5/32, 193/16, 11/32, 11/64, 15/16, 1, -325/32, 1/4, -11/32, 3/8, 
  -1/2, -1/32, 19/32, -3/16, 0, 0, 0, 0, 9/32, 0, 0, 0, 0, 0, 1/16, -9/8, 
  443/384, 0, -503/192, 0, 563/384, 35/64, -1/4, 23/64, -9/8, 0, 0, 0, -7/4, 
  89/48, 9/4, -1001/384, 21/32, 1481/384, 7/4, -11/8, 55/64, 3, -827/384, 0, 
  -463/128, -35/64, 1/8, 175/16, 323/32, 3/16, -381/32, -371/32, -9/32, 
  -191/16, -11/32, 23/2, -3/4, 52217/3456, 559/24, -119/32, -3223/96, 
  -19063/1152, -1/2, 11, 3/16, 0, -23/2, 0, -135/16, -11/32, 183/16, -3/4, 
  12581/3456, 583/24, -55/16, -2923/96, -20215/1152, 0, 0, 79/32, 0, 0, 
  1797/40, -1/8, 0, 0, 0, 0, 61/48, -587/192, -24373/1440, 11/16, 3/8, -1/4, 
  -7831/480, -667/192, 3, -60497/2880, -2, -3, -7/24, -263/192, -149/72, 
  7891/480, -289/192, -22819/960, 221/48, -11/16, -559/1152, -3/32, 
  -16549/384, -4157/1152, 14485/384, 5193/320, 18319/960, 10987/576, 
  -4173/320, 0, 0, 0, 0, 6653/320, 0, -6303/320, 0, 3/8, 0, -7013/320, 5/8, 
  -17/16, -11/12, 0, 17/24, -13/24, 11/16, 19/48, 0, -5779/864, 15617/144, 
  5/4, 251/27, 27/16, 55/16, 51/16, -23405/108, -107/48, -19/48, -67/24, 
  -12127/48, -1/6, 23/48, -15/16, 49/24, 85/48, 0, -65/72, 45/8, 0, -7/8, 
  -145/18, -145/24, -5/4, 75/8, 3/8, 0, -17/24, 0, 97/72, 41/4, -33/4, -1/2, 
  -43/48, 1/8, 47/72, -61/6, -31/8, 29/4, 205/24, -2, 19/18, 19/24, 373/48, 
  1/24, 8/3, 1/2, -47/8, 23/36, 13/8, -1/4, -2, 0, -1/8, 2, 0, 3/8, 0, -1/2, 
  5/4, 0, -29/8, -9/4, 9, 7/4, 1/4, 8, -5/4, 0, 7/4, 0, -7/4, 0, 13/8, 1, 3, 
  -5/8, 0, 0, 0, -3469/288, 1/32, -15/32, 2953/144, -7/32, 19/32, -1987/288, 
  -1/8, 2, -17/96, -4207/288, 13/48, 3157/288, -23/8, 103/96, -4531/2592, 
  -1109/144, -13037/576, -113/96, 1, 2813/192, 0, -619/72, -7/96, 21547/1728, 
  -1/4, 1/6, 0, 0, 0, 0, -5/16, 1/2, 79/32, 7/16, -83/32, 1/4, 7/4, -57/32, 
  9/8, 0, -1/2, 0, 1/2, 0, 3/4, 45/16, 3/2, -71/16, -1/2, -59/16, 0, 0, 1/2, 
  0, -1/2, 0, 0, 0, 55/36, 16/27, -127/288, 5/8, 0, 29/48, -5/8, 3/2, 2, 
  -7/2, -2, 2, -29/8, -2, 2621/432, 17/8, -1/2, 1/2, 1/2, 79/144, -13/12, 0, 
  5/24, -1/24, 5/16, -11/36, -1/8, -83/16, 115277/432, -1/4, -151/72, -1/4, 
  49/16, -118571/720, 2342083/13200, -58921/432, 28997/72, 623/288, 587/108, 
  -898061/4320, -16/9, 62741/240, 4807/480, -218129/720, 161287/1440, 
  -14343/160, -1/4, 11/16, 85/48, -7/16, 13/6, -167/12, 25/192, -61/12, 
  2617/192, 7/2, -11/8, 31/48, -15/32, 313/48, -371/96, -1045/96, 43/8, 73/8, 
  19/8, -11, -103/48, -329/48, 223/24, 1157/96, -397/24, -2069/96, -65/16, 
  -125/12, 1853/96, 115/48, 47/8, -757/48, 1103/96, 13/3, 43/4, -91/48, 
  -21/16, 0, -4/3, -193/24, -203/96, 1/24, 55/24, 11/16, 7/24, 0, 139/48, 
  1213/144, -45/16, -9/4, -1, 101/32, -3793/288, -7/8, -47/16, 511/36, 11/16, 
  -5/2, 97/16, 809/72, 3/2, 727/288, -29/16, -15/8, -3/16, 5/32, 0, -181/32, 
  3/32, 173/32, 1, -1/12, -165/32, -1, 235/128, 149/32, 0, -38393/3456, 
  -2413/96, 231/32, 197/32, 0, 835/24, 1, 40121/3456, 947/48, 1747/1152, 
  -2845/96, -10063/1152, 19/16, 0, -19/16, 0, 1, 19/16, 0, 5/32, 5/2, -99/16, 
  0, -201/32, 0, -205/96, 4, 5/16, 563/128, -59/16, 75/4, 231/32, -6, 
  -201/16, -5/8, -3/8, 5/12, 23/32, 13/8, -115/48, 1/24, 5/4, 3/16, 0, 75/32, 
  13/6, -7/12, 5/8, -347/192, 1/8, 11/16, 13/16, 9/2, -39/16, -175/32, 45/32, 
  -3/32, -71/8, -37/64, 11/16, -1/16, 131/16, 7/16, 0, 77/36, -53/72, -1, 
  3/2, -433/864, 101/36, -9/8, 25/9, 1, 1/2, -583/144, 1, 85/108, -61/108, 
  -275/72, -9/8, -9/8, -437/432, 5/8, -55/54, 251/864, 13/24, 31/18, 5/3, 
  5/4, -61/36, 97/72, -137/144, 26/27, -2, 97/48, 33/8, -179/144, -33/16, 0, 
  3/64, 9/16, 15/32, 29/64, -29/32, -15/32, 1/4, -1, -2, 57/32, 219/32, 
  43/32, -1/4, 23/8, -1/8, 71135/6912, 4315/192, 19/16, -1135/6912, -391/96, 
  -39/16, -1745/96, -19/16, -1289/96, -3/4, -51383/3456, -19/16, -13/16, 
  577/48, -11/8, 0, 49/96, 0, 15/8, -61/96, -7/4, -1/8, -4/3, 1/4, -107/32, 
  -5/32, 103/32, -3/4, -4, 13/6, -1/2, 0, -61/96, 41/24, 0, -63/16, -5/4, 
  8843/4320, -1099/144, 153/80, 39/8, 0, -119/24, 1/16, 421/72, 13/4, 0, 7/3, 
  -31/12, -19/8, -187/36, -1, 75/16, -9/4, -33/16, 1/8, -23/4, 0, 41/24, 
  -3/2, -9/8, -1/2, -3/8, 7/16, 3/8, -29/24, 293/48, -2, 15/8, 33/8, -23/8, 
  -37/18, -19/12, -395/48, -19/12, -367/48, 1/2, 5/4, -41/144, -3/4, -5/32, 
  -123/64, -695831/960, 31/32, 317/64, -179531/576, 5/4, 3866903/5760, 
  1605/16, 2057/80, -84257/288, 192917/720, 291277/1440, 2688229/2880, 
  -335143/1440, 3/4, -1/4, -21/4, -5/4, 19/48, -5/12, -1/16, -7/16, -493/32, 
  11/4, -7883/24, 85/64, 63463/192, -5/24, 13/16, -409631/480, -157/32, 
  189571/240, -1, 414791/480, 0, -251/16, -3/4, 15667/48, 127/64, -62695/192, 
  413771/480, 135/32, -380477/480, -412811/480, 21/4, 25/32, -99/8, -255/32, 
  73/16, -35/16, 1/16, 9/16, 31877/96, 53/32, -15877/48, 7/16, 411251/480, 
  -49/16, -1/16, -378197/480, 0, 7/24, -408911/480, 35/8, -1/24, 35/16, 21/8, 
  -31/16, -31691/96, -371/64, 63823/192, -409001/480, -125/32, 11881/15, 
  403421/480, -51/16, 43/8, 173/32, 241/32, -79/16, 3/32, 1/24, -2677/1920, 
  15/16, 57/80, 9/16, 31637/96, 71/64, -63667/192, -7/4, -193/128, 3637/960, 
  408941/480, 13/40, -380537/480, 117/16, -7/16, -410801/480, -25/8, -3/4, 
  -1127/480, 2, 109/16, -1, -61/8, -3/16, 1337/240, -177/32, -45/16, 1/8, 
  3/2, 67/16, -3/8, -1/2, -1, 3061/288, -7/8, 47/32, -1055/96, 17/32, -15/32, 
  -5/36, -5/8, -11/48, 3331/288, -109/48, -49/36, 5/8, -71/48, 11155/1296, 
  791/96, -1/8, 11231/384, -1387/576, 19/16, -12329/1728, 9/8, 557/144, 
  71/48, 79523/3456, -51/16, -15/16, 451/288, 17/8, 0, 0, 15/16, 0, -15/16, 
  7/8, 429/80, 0, -31/32, 15/32, 47/32, -7/8, -1/8, -3/32, 1/2, 1, 33/8, 
  19/4, 1, 13/8, -1/4, -557/40, -109/16, 55/8, 871/120, -3, -33/16, -3/16, 
  -35/4, -7/2, 1/2, -1/2, 0, 0, -5/4, -2, -13/16, -3/4, 13/16, -21/8, 1/2, 
  -41/8, -123/8, -71/8, 3/2, 0, 93/8, 5/8, -7/8, -9/2, -23/8, 2, 21/8, 43/8, 
  11/2, 1/4, -15/4, 5, -2, -4, -1, -153/32, 1/16, 1, 149/32, 0, 1/2, -1/16, 
  -137/32, -1, -30185/3456, -1253/48, 9/8, 3229/96, 22807/1152, -1/2, 169/32, 
  3/32, -15/32, 1/8, 3/32, 45/32, -191/32, -15/16, 33/8, -19/32, -549/64, 
  -15/32, 379/64, -33/8, 43/32, -3239/384, 9/32, 13889/864, 2209/96, -55/8, 
  525/64, -9/32, -2899/96, -59/32, -9/2, -4, -14599/1152, 41/8, 1, 0, 0, 0, 
  0, 0, 1/2, 2211/160, 0, -17/32, -2191/160, -15/32, -5/8, 0, 903/80, 9/8, 0, 
  1/4, 0, 3/4, 0, -7363/480, 659/192, -17461/2880, 5963/480, 23/8, 4, -3, 
  -85/16, -1, 11/6, -496/9, 0, -11/8, 1368, 3/2, -4144/9, -2, 0, 0, 0, 0, 
  1/8, 51/16, -5/3, 51/16, 1/8, -11/6, -1/8, 5954/11, 308578/825, -3, 0, 2, 
  -8981/90, -203453/275, 117949/480, -3, -619/48, -1/4, -51/8, -619/48, 0, 
  19/16, 0, 55/8, 0, -301/48, 0, -1, -43/6, 0, 0, 0, -121/16, 0, 25/4, 0, 0, 
  0, 217/18, 33/16, 0, 0, 1, 0, 1/2, 1/2, 0, 17147/24, -3/4, 0, -1/16, 0, 0, 
  0, 1/16, -16880/9, -496/9, -17968/9, 6344/3, 12784/3, 15440/3, 2320/9, 
  -74080/27, -16/9, 0, 16/3, -16/9, 0, 0, 0, 0, 16/3, 0, 5009/144, 9/8, 0, 
  -428/9, -61/8, -6, 2, -34705/18, -1855/36, -1936, -4400/3, -15472/9, -1/8, 
  0, 19312/9, 19312/9, 1368, 1/6, 41840/27, 0, -18800/9, -2432/9, -14824/3, 
  16/9, 0, -72, -16/9, 0, -16/9, 0, -2, 0, -9/2, 0, 0, 3/2, -32/3, 0, 0, 
  -38/9, 0, 0, 0, 5009/144, 5009/144, 0, 9/8, -2, 0, -265/48, 0, 0, 0, 11/16, 
  1/16, -37/32, 0, 0, 3886667/2475, -59051/550, 428/9, -35/8, -6, -214/3, 
  -409/168, 55031/180, 343/48, 0, -9/8, -5/2, -97/24, -17/48, 91/48, -107/32, 
  0, 5/6, -5/6, -17/16, 241/48, 385/96, -1/8, -11/8, 127/48, 115361/45, -3/2, 
  531713/1100, -62296211/19800, -4641722/2475, -18364679/9900, 218291/3300, 
  35042/275, 151421/550, 5/3, 286/3, 2037/10, 1701014/825, -115391/45, -11/4, 
  -115421/45, -22311/10, -2145237/1100, 5/8, 0, 683953/360, 682693/360, 
  68648/75, 3, 0, 314699/120, -23/4, 747013/1100, 49/3, -107119/45, -8893/15, 
  -2733388/2475, -22591477/1440, 8679331/2400, 313543/400, 16957/168, 347/12, 
  27/8, -38381/180, -359/16, 2, -2185/48, 3853/80, 3229479/1600, 
  29189503/4800, -21334423/7200, 21971623/3600, 34963/12, -17/4, 0, -459/8, 
  -429/8, -631/48, -11/8, 0, -403/8, -15/4, -7/4, 5087/360, -19693/720, 
  1879/45, -1297/30, 6539/720, -39/8, -14333/576, -10577/576, -51/32, 
  -1181/96, -5/6, -43/6, 43/6, -61/96, -61/96, -163/48, 199/48, 0, -233/96, 
  -533/96, 0, 65/32, 287/96, 121/24, 5/6, 43/12, 503/48, 1/6, -1, 503/48, 0, 
  -109/96, 61/96, 61/96, 0, 0, 0, 1/12, -1171/192, -41/192, 115/48, -5/96, 0, 
  179/48, 0, -85/32, 463/96, -17/32, -33/32, -151/48, 241/96, 0, 0, 
  71051/1728, -26261/1440, 0, -8/3, -125/9, -217/9, 149681/8640, -14/9, 
  -5755/1728, -4603/1728, 3, -3, 32/9, 64907/1728, -3/4, 0, -26261/1440, 5/4, 
  149/9, 217/9, 2861/240, -2, -64907/1728, 64907/1728, -64907/1728, 
  -66635/1728, -64907/1728, -4, -2, 0, 26261/1440, 2, -3/2, 23/3, 1/9, 
  365/32, 7/6, 333/32, 33991/1440, -21/16, -29/16, -151/32, -41/32, 7, 1, 1, 
  643/48, 89/32, -1/16, -605/96, -629/96, -19/32, 14/9, -3067/1728, 
  3269/1728, -2203/1728, 14501/1728, 1, 4, 1/2, 0, -3, -3581/240, -3, 
  -3701/240, -11, -3/2, 670087/24, 913/120, -1971/80, 858503/96, 
  18943249/480, 536237/400, 66649597/1200, -3361/6, 641519/60, -569189/20, 
  -22463/10, -185/16, 1961/105, 45001/1680, -2587/96, 3/4, 0, 809/32, 651/32, 
  173/16, -884/63, 1319/1680, 53021/1680, -491/48, 1085/48, 119/240, 0, 0, 0, 
  0, -11/16, -37/16, 0, 0, 0, 11/16, 1/16, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  11/16, 37/16, -11/16, -1/16, 46556839/19800, 1585411/176, 58227327/4400, 
  793195/198, 3234989/550, -9/4, 0, 15/8, 233/16, -289/8, -17053/24, -5435/4, 
  379/12, 95527/36, 6119/12, -9527/12, -183479/72, 97/6, 57667/72, -433/72, 
  -307/36, -1601/8, 265/48, -1/32, 1/8, -859, 1/4, 475/36, 3/2, 0, 0, -55/48, 
  -7/4, -19/48, 0, 7/48, 57/8, -4/3, -31/8, 2/3, -33/4, -137/9, 1, 80/9, 
  -1189/72, 0, 115/36, 1/2, 223/12, -991/72, 1, 13/2, 9/4, -3/2, -31/12, 
  13/4, -7/32, -45/4, -5/16, 27/2, 1/2, -1/4, -23/4, -1/2, -1/2, 8, 0, 5, 
  -17/2, -13/12, 59/9, 13/6, -83/12, 341/18, 711/5, 173/40, -711/5, -2143/15, 
  -1915/16, 3/8, 1/8, -17/96, -1/8, -5009/96, 0, 5009/96, 0, -5009/96, 
  -2503/48, 3/16, 2509/48, 0, -2509/48, 0, -199/20, 0, 3861/16, -3207/80, 
  1049/5, 31/10, -1049/5, -17609/80, -1501/24, 0, 199/40, 0, -19537/80, 
  611/16, 265/32, -265/32, -265/32, -31/8, -95/16, 233/576, 0, -233/576, 
  -9/32, -3/4, 5/16, 0, -31/8, -95/16, 5987/1152, -247/1152, -31/8, 
  -6593/1152, 5987/1152, 0, 0, 0, 0, -931/288, -8407/576, -365/72, 49/96, 
  331/24, -1089/32, 70465/54, -379/48, -5/6, -17/48, 127/144, -1915/96, 
  -315/8, -7/8, 251/192, 5/96, -85/64, 1747/3, 4063/12, 509023/270, 
  -12139/20, 57485/48, 31298/27, -84827/216, 14/3, -249/16, 290833/360, 17/2, 
  627929/825, -85/8, 1/4, -1/8, -41/6, -5/4, 35/48, -225/16, -295514/825, 0, 
  0, 7/24, -612559/3300, -80321/240, 5249543/7920, 738701/2200, -71909/144, 
  1217/18, -4523/8, -47395/72, 2807/8, -1339/4, 350471/360, 19421/32, -1349, 
  -94067627/14400, -15120499/1800, 251560051/14400, 17833477/1800, 
  8329477/2400, -139/24, 1961/12, 569/24, -53/4, -1097/24, 2003/12, 3/2, 
  -5191/96, -7/8, 4351/96, 2/3, -6673/96, -25/2, 31/4, 2879/32, 0, -491/48, 
  0, 19, 213/16, -12767/480, 1949/240, -83347/2880, -29057/1440, 263/36, 
  415/9, 70823/2880, 175/24, 3469/64, -19643/576, 3323/288, -5665/576, 0, 0, 
  -19/192, 4459/288, -881/1152, -14585/1152, 64/9, -1379/1152, 3997/1152, 
  -777301/2304, -21/16, 11437/384, -1675/192, -777949/2304, -255437/3840, 
  -19/16, 341887/3840, 0, 0, 31/48, -4039/120, 7/24, 276787/1728, -337/384, 
  -761/64, -85805/108, 0, -59/640, 0, 751/384, 28439/1920, 403/16, 251/32, 
  9839/192, -1945/64, 275/96, 95/48, -413/32, -37/3, 59/16, -1187/288, 
  1837/96, -4657/192, 5123/192, -529/16, 497/32, 665/288, 1/8, 1/6, 
  133861/240, 1205/192, 3203/1152, 17201/2304, 119/6, 5503/2304, 
  -109885/2304, 360137/1152, 24317/360, 377/72, -92735/2304, -105763/2304, 
  360497/1152, 13259/96, 169/36, 213217/1280, 0, 0, 141/64, 89/64, -1/8, 
  76609/576, -1411319/1728, 3/8, -2, -285835/1728, -425/128, 1379/96, 
  18241/108, -10133/320, 5951/120, 35201/288, -1431941/8640, -183649/1728, 0, 
  1637/192, 0, 913/384, -1799/192, 1361/120, 664113/1600, 782881/6912, 
  48493/864, -407471/3456, -16/9, -10693/6912, 1/4, -7/12, 659963/4800, 
  -1361/120, -1055597/7200, -665313/1600, 161/36, 0, 643/72, 3/2, 1/4, 
  -138203/6912, -63971/3456, 34739/2304, 0, 107/18, -93995/2304, 
  -162539/6912, -65339/3456, 8123/256, 0, 150853/7200, 0, -158053/7200, 
  -1/12, 35759/2400, -4991/320, 193/144, 2327/144, 566561/2400, 33959/2400, 
  445411/7200, -7921/720, -451561/7200, -852617/4800, 0, -89489/7200, 0, 
  80489/7200, -2, -325/54, -2281/288, 7/6, 77/108, -675/64, -30793/1728, 
  -2857/576, 8867/576, 107/54, -899/64, -29113/1728, -2209/576, 4307/576, 
  -185/108, 750709/6912, -484333/34560, -30727/2304, -34/5, -3687557/34560, 
  -191/64, -33/16, -14855/864, -9/8, 16133/864, 19/16, -9401/864, 0, -197/64, 
  1/16, 69/16, -3179813/103680, 11749/2304, -690023/103680, -10207/1152, 
  379/288, 4487/1152, 8083/1152, -7201/12960, 0, -5/18, 1/16, 8983/1152, 
  163391/51840, -286115/3456, 12865/864, 103537/768, 4543/432, -521/108, 
  -208961/6912, 11569/1728, 860909/6912, 18329/576, -13111/256, 3727/384, 
  33/2, 4063/1728, -42863/1728, 485233/6912, -15895/3456, 125/8, 227/16, 
  -41081/1728, 447701/6912, 0, 0, 1/2, -3/2, -2347/720, -3133/216, -2767/720, 
  7837/864, -7387/1440, -146077/4320, -2947/1440, 41129/1440, 263279/8640, 
  11159053/172800, -280511/11520, -283787/11520, 1247/576, 399469/6400, 0, 
  -5/36, 0, 59/36, 26/9, 171472847/3200, -1634851/960, 12357701/2880, 
  -401279/480, 332778511/9600, -104621/240, -23845991/1440, -1251/64, 325/64, 
  0, 0, -819/64, -1/16, 25/4, -18697/240, -47/4, -1085/48, 2017/160, 1329/80, 
  -17431/840, -95/3, -23/12, 1/16, 85/64, -825/32, 141/4, 1933/32, 1193/32, 
  0, 1393/32, 171/8, -155/32, -481/48, 3115/96, 857/32, 2603/40, -12717/160, 
  -21197/160, 0, 0, 411/5, 0, -1487/10, 203/20, -7237/1728, -5293/1728, 
  -3/32, 0, -5009/864, 0, 2547/64, -1165/72, 6649/16, -1/16, 46403/144, 
  -26695/48, -31973/96, 7123/288, 365/96, 4471/144, -2459/144, 11429/72, 
  -613/48, -174323/288, 24191/288, 7/4, -119/288, 2491/192, 63/32, 185/72, 
  15/8, -11/32, 924793/1152, -154817/480, -161/288, 806387/576, 1/3, 
  -69523/120, -14771/160, -41/12, 535703/960, 5/2, 935/144, -141731/432, 
  -23811/80, -2455/144, 2393/4, 3144697/4320, -553799/960, 346271/432, 
  -136997/216, -5/8, -7/8, 19/48, -324503/1152, -38959/135, -369847/1152, 
  -121/96, -79/96, 31635/64, 107/192, 7/8, 107/48, 2437631/1728, -59/12, 
  -7/8, -107/36, 2395/72, -157/24, -767/72, -95/16, 127/6, -121/144, -329/72, 
  293/32, 1775/144, -4381/576, 659/144, -79/16, -3947/576, -47/24, 1619/384, 
  -2395/192, -15/32, -409819/6912, -1195/192, 269465/2304, -341/192, -59/32, 
  1273/96, 15/32, 519499/6912, 13/2, -281401/2304, -197/12, -407/144, 0, 
  4741/1440, -9/16, -3/8, 1787/120, 3/2, 39/16, -2329/96, 827/96, -7/8, 
  -4381/1440, 247/48, -719/40, 5699/288, -29/6, 79/24, -149/144, 28/3, 
  815/144, -185/24, 31/24, 1091/432, -61/24, -79/16, 551/36, -2855/144, 
  -2455/216, 4, -11677/864, -241/48, 15/32, 152863/3456, 91/12, -9851/384, 
  -7511/288, -79/96, 19147/576, 1/8, -403867/3456, 13/8, 4835/144, 
  -23803/576, -15535/1152, 1, -31, -15/8, -3, 1439/40, 2, -121/32, 419/40, 
  -40319/160, 165/32, 505/16, -271/16, 3, -139/3, 2, 19/24, -23/18, -135/32, 
  23/18, 329/96, -251/48, -203/54, -847/96, -55/48, -803/144, 803/144, 
  313/432, 4751/3456, 14603/288, 18283/864, -15719/288, -32801/1152, 
  -8399/576, -3/32, 77/48, -7/16, -5629/384, 5629/384, 5/8, 0, 0, 0, 0, 
  -293/72, -2081/216, -67187/2880, 371/48, -3/8, 3175/432, -1919/288, 
  9695/24, -113561/288, 1723/288, 330959/864, -211/72, 843581/4320, 
  667477/2160, -15712/27, 47267/540, -71/6, 947/96, 45/16, -5638291/6912, 
  357728471/237600, 4114139/3840, -583/32, 125/96, -971/192, 31/16, 
  18031127/34560, -161375531/95040, -74385031/34560, 947/192, 
  110985329/59400, -7/12, 289097/800, -183127321/475200, 43/24, 
  -100842061/105600, -37/16, 13/6, 4714487/17280, -1186361/2880, -421/144, 
  -1275289/3600, 238506137/475200, 174761527/158400, 5717329/8640, 
  -20212777/475200, -191/24, 68717/1440, -3512987/26400, 28049/72, 
  -11430389/79200, -115121/288, 49/6, 401/192, 62003/576, 55/64, 224329/1440, 
  -4288769/4950, 157463/240, 735139/2880, 79243/180, 18719/480, 
  -25922237/4800, 282674891/28800, 2611573/2880, 32853463/5760, -697953/640, 
  -60264311/28800, 64991039/9600, 5734687/5760, 216013/288, 2011/192, -70, 
  -13/16, 1099/48, 679/48, -281/16, 10367/96, 3341/96, 167/24, -737/96, -9/8, 
  229/24, -69/32, 83/4, 67/10, -21067/576, -4129/240, 5593/480, 583/96, 
  239/48, -311/80, 14723/1440, -26323/1920, -6877/960, 13229/1152, -4199/960, 
  -34933/960, 7157/1152, 565/576, -124367/5760, -15/128, 559/288, -35/32, 
  -126259/3456, 13643/576, 19961/384, -127/16, -35/24, -2221/144, 1, 
  24295/3456, -17827/60, -76291/1152, 1543/144, 33443/1152, 1/6, -103/96, 
  15197/1920, 7/3, -1963/1920, -11/8, -251/48, -1963/384, 15857/1920, 
  2599/1152, 817/32, 328961/3456, -2191/384, -602557/1152, 692569/864, 
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  9/4, 0, 0, -1/2, 0, 1/6, 0, 0, 5/4, 27/4, 0, 5/4, -3/2, -13/12, 0, -11/4, 
  1, 5/3, 1, -5/4, 0, 1/6, 6, 0, 0, 3/2, 1/4, -1/6, 19/16, 0, 1/4, -1/2, 
  119/72, 0, 53/24, 2, 0, -899/72, 3/2, 7/8, -1/6, -5/16, -221/16, 11/24, 
  221/16, 0, 0, 3, 13/3, -2, 1/6, -1, 1, -13/3, 5, 2, -5, 4/3, 8/3, 4, -57/8, 
  -37/4, 33/4, 3/2, 11/8, -67/4, -1/2, 55/6, -1/2, -45/8, 0, -2/3, -13/4, 
  -95/24, 0, 0, 121/24, -1/2, -3/4, -97/8, 0, 13/3, 5/4, 0, -47/12, -103/12, 
  -3/2, -1/3, 0, 13/24, 16/3, -1/6, 9/4, -67/12, 4/3, -8/3, -39/8, 15/4, 0, 
  0, 0, 13/36, 17/12, -1/6, 0, 0, 0, 1/2, 0, 3/4, -4, -50/3, -1/4, -2, 2/9, 
  1/12, 0, 41/12, 1/18, 0, -10/3, -1, -5/12, -47/12, 13/12, 47/12, 9/8, 
  79/72, 1/18, -2, 131/12, 1/72, -91/6, -5/4, 3/2, -3/8, -1/2, 1, 9/2, -5/6, 
  29/12, -5/6, -7/80, 5/18, -19/12, -11/8, 29/12, 11/8, -5/6, 159/80, 
  137/240, -117/80, -211/720, -17/4, 0, 1/2, 3, 0, 0, 1/4, 99/80, -3/2, 
  -69/80, 23/4, 0, -9/2, -109/80, 23/4, 8, 12, 3/4, 149/12, -3/4, -9/4, -4, 
  3, 9/2, -119/8, 1/4, -11/8, 28/3, 5/6, 523/24, -16/3, -21/8, 39/8, 1/2, 
  27/8, 15, -7/8, -6, -129/8, -81/8, -31/8, -32, -45/4, 11/2, 67/4, -11/2, 
  3/8, 39/8, 11/2, -9/8, 2/3, -1/2, 143/36, 14/9, 23/36, -377/36, -11/9, 7/9, 
  -629/72, 2, -73/54, -29/12, 113/72, 955/72, -245/72, -337/72, -295/36, 2, 
  20/3, 2861/216, 15/8, 545/72, -26/9, -6331/432, -67/18, -3, -94/9, 2, 
  269/72, 3923/216, 13/8, 1003/72, -26/9, -6607/432, -67/18, -1/2, 77/18, 
  -5/4, 58/9, 235/72, 0, 0, 0, 0, 0, 0, -5/6, 43/6, -5/3, 13/6, -7/9, 0, 0, 
  0, -5, -1/40, 3, -39/40, 0, 0, 0, 0, -1, -3/2, 3/4, 0, -5/4, 3/2, 7/3, 
  29/12, -7/9, -67/24, -8/3, -4/3, 1, -11/8, -57/8, -7/3, 17/12, 4/3, 21/8, 
  27/4, -21/8, 0, 1/6, -3, -3/4, 3/2, -41/6, 3/2, -9/2, 31/6, 5/2, 0, -35/12, 
  -5/2, -16/3, -17/6, 7/12, -1/3, 11/4, 23/6, 7/12, -1/6, 6, 57/4, 47/3, 12, 
  -45/4, 4, -1/2, -65/6, -23/6, -3, -81/4, 0, 21/2, 27/4, 1/2, -11/4, -5/8, 
  -5/4, 33/8, 5/8, 3/4, -11/8, 0, -7/6, -125/24, -35/8, -11/12, 79/12, 19/3, 
  2/3, 67/24, -11/12, 0, 13/4, 17/4, -15/4, -17/4, 1/2, -71/12, -5/4, -1/12, 
  13/6, 3/4, -3/4, -3, 3/2, -191/108, -41/36, -133/144, -1931/432, 5/36, 
  -111/16, -5/16, 3, -25/12, 299/108, 133/216, -1/216, 19/4, 5/12, 851/432, 
  1867/144, 247/48, 25/36, -127/16, 301/432, -769/48, 67/48, 0, 0, 0, 0, 0, 
  -13/12, 7/80, 0, 59/48, -9/10, -13/48, 25/12, 13/12, -1/12, -5/9, 0, 0, 0, 
  0, 0, 0, 0, 0, -7/8, 3/8, -1/2, 5/2, -3/8, 1, -13/8, -1/2, 1, 25/12, -3/8, 
  -7/3, -29/24, 4/3, 5/8, -57/8, -13/4, 57/8, 21/8, 17/12, 57/8, -49/24, 
  27/4, -27/4, -27/4, -1, -55/24, 1/2, -2, 45/8, -19/8, 0, -5/8, 7/3, -37/12, 
  -1/3, -4/3, 0, 1, -5, 25/4, -7/3, 19/3, 4/3, 5/2, 0, -35/8, -15/4, 1, 1/8, 
  -4, 11/8, -31/8, 2, 17/4, 5/4, 3, 37/8, -7/3, 73/12, 101/24, 1/4, -37/2, 
  -49/24, -2/3, -31/4, 133/12, 8/3, 19/4, -11/8, -107/4, -25/2, -51/8, -3/4, 
  -247/24, 61/3, 541/24, 11/24, 15/8, 129/4, 19/4, -107/8, -29/4, 1, -9/16, 
  -17/16, -1, -107/96, 1/16, 3, 5/16, -13/8, -5/2, 5/48, 5/6, 685/192, 
  353/96, 3/2, 2/3, 1/6, 5, 53/8, 169/96, -71/96, 4, -5/6, -37/64, -655/96, 
  -2/3, 53/24, 131/8, -8, 25/6, 0, 0, -29/72, 1/2, 1637/216, -871/144, 
  113/18, -797/144, 1/16, -617/144, 305/144, 425/72, 533/144, -1/12, -261/80, 
  -7/16, -103/48, 3/40, 5/48, 7/6, 79/48, -1/60, 0, -29/36, 0, 1/2, -25/32, 
  3/8, 1/2, -17/64, -289/64, -39/16, 63/16, 35/16, 7/12, 29/24, 3/2, 257/64, 
  -217/48, -4/3, -35/12, -1/2, 113/32, -57/8, -105/64, 315/32, -35/8, -7/12, 
  205/96, -1195/192, -5/12, -21/8, 21, -241/64, -17/6, -27/2, 1, 1/16, -2, 
  5/3, -3/2, 31/8, 3/2, -7/3, 17/48, 1/4, -97/24, -91/24, 4/3, -5/12, 5/4, 0, 
  4, -5, -27/4, -67/8, -4, -41/6, 25/4, 193/24, 5/2, 1/8, -3/8, -3/8, -11/4, 
  -9/8, -2, 25/54, 245/144, 113/18, 4181/432, -11/12, -9/16, -4, 19/144, 
  -133/72, -2663/432, 3/4, 4, 281/144, 1/6, 19/16, 1133/144, 23/48, 289/144, 
  -451/48, -17/6, -57/4, -587/48, 373/48, 149/8, 53/18, 9/16, 7/16, -101/18, 
  -9/8, 17/12, 5/12, -1351/240, -1/16, -5/144, 533/120, 5/48, 1/3, 29/24, 
  -5/2, -43/36, -53/18, 175/24, 89/16, 37/6, -20/3, -3, -217/24, -6, 8, 0, 0, 
  -5/12, -11/12, -3/8, -1, 7, -25/4, 1/8, -19/3, -11/8, -5/2, -161/48, 31/12, 
  37/48, 25/3, 99/16, 35/6, 7/8, -23/16, -10/3, -367/48, 11/48, 57/8, -79/24, 
  -53/4, 33/8, 131/48, -213/16, 347/24, 6, -33/8, -27/8, 57/4, -7/2, -27/8, 
  0, -3/4, -9/16, 53/16, 0, -13/24, 49/24, 0, 1/4, 0, 1/72, 55/72, 0, -5/36, 
  0, -1/8, 25/8, 0, 9/8, 0, 0, 5/8, -15/16, 2, 0, 3/4, 5/12, 0, -29/12, 0, 
  -3, 221/108, 29/24, 1069/144, 137/27, -5/24, -17/16, -41/72, 0, 73/12, 
  -373/216, -4403/432, -29/216, 25/36, -37/12, 37/108, -47/36, -635/72, 
  -209/48, -223/144, 131/18, 227/108, 451/24, 971/48, -637/72, -73/4, -13/6, 
  4/5, 65/24, -4/5, -13/24, 7/12, 23/24, -17/24, 25/48, 47/48, -47/48, 
  -17/12, -11/18, 121/240, 5/9, 21/4, -337/40, 1/2, -25/2, 93/16, 23/4, 
  -439/48, 401/120, 49/48, 145/48, 69/8, -13/8, -16, -59/24, -3/2, 0, 0, 7/4, 
  13/2, -13/2, -15/4, -67/8, -5/2, 23/8, -2, -13/8, 13/8, -613/48, -41/12, 
  -97/48, 14/3, 21/8, 317/48, -8/3, -25/4, 9/4, 43/4, 9, -7, 187/24, -17/4, 
  -95/8, -13/24, -3/8, -111/8, 9/2, 1, -1039/432, -41/72, -131/18, -245/432, 
  113/72, 487/72, 2201/216, 19/8, 245/144, 77/12, 125/16, -32/3, -2123/216, 
  -377/144, -19/24, 167/144, 317/24, -3/4, -1157/144, -1307/72, 25/12, 
  -121/24, -25/6, 511/36, 119/144, -215/36, 57/4, 65/8, -53/144, -27/2, 0, 0, 
  0, 0, 0, -41/12, 47/120, 9/8, 275/48, 13/20, -49/48, 43/6, 47/24, -22/15, 
  -125/36, 0, -7/4, 3/4, -1, 13/4, 1, 5/4, -57/4, -21/4, 27/2, -3, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 
  3/2, 0, -7, 1, 0, -4, 0, -20/3, 7/2, 5/3, -15/2, -8, 0, 0, -8/3, 0, -4/3, 
  79, 1/2, 539/16, -7/16, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, -1, 
  0, 4, -44, 4, -16, -4, 0, 0, 0, 0, 0, 7/2, -3/4, -28/3, -305/12, 0, 19/3, 
  -251/8, -455/8, 38, 35, 0, 0, 3/4, 0, 7/2, 0, -30, 57/2, -15/4, -27/4, 
  111/4, 0, 23/4, -15/4, 0, 0, -3/2, 5, -783/8, 5/6, 783/8, 0, 0, 0, 15/2, 0, 
  0, -15/2, -95/4, -171/4, 389/12, 35/2, -919/20, 0, 731/12, 0, -3/2, 1/2, 0, 
  709/20, 0, -4069/40, -1431/40, -3957/40, -849/40, 3957/40, 4397/40, 493/12, 
  0, -709/40, 0, 5231/40, -9/8, 0, 35/12, 0, -3, 0, 0, 0, 32/3, 0, 0, 8, 0, 
  0, 1/4, 353/12, -17/3, -1/3, -3/2, 0, 0, 159/16, -105/16, 27/2, 0, -411/8, 
  -1355/24, -5, 451/8, -1/2, 2, -1/2, -23/24, 13/8, -5/2, -7, 5/2, 3/2, -5/2, 
  6, -2, 2, 4, -463/32, -4429/48, 3259/96, 473/144, 7/144, -3/4, 0, 0, 1/4, 
  247/36, -23/18, 0, -1, -28, 0, 0, -869/48, 1, 0, -359/48, 8, 0, 0, -2, -4, 
  -3679/96, 169/96, 19261/96, 179/16, 2641/96, -4/3, 253/12, 117/4, -3, 
  -31/3, -1267/48, -3791/48, 697/48, -297/8, 1429/48, -1085/32, 44, 0, 
  -7477/384, 12961/256, 0, 18917/768, -14027/384, -101/96, 5979/256, 31/3, 
  -8723/256, 0, 0, -1/12, 0, 0, -3/4, 0, 0, 5/12, 0, 0, 0, 0, -13/8, -11/2, 
  1/2, 0, 0, 0, -1, 0, -1/2, 0, 1/4, 0, -1/2, 0, 11/6, -1/2, -7/4, 0, 8/3, 0, 
  -11, 11, 8627/36, -59/12, -6283/36, -3007/48, 7439/72, 229/24, -5095/72, 
  -2311/48, 7/48, 6703/144, 517/48, -1549/48, -2161/48, 116/3, 5983/144, 
  -683/48, -467/16, -41, 0, 0, 0, 0, 1/2, 0, 1235/12, 139/2, -817/24, 157/2, 
  1091/12, 0, -1757/24, 1093/6, 303/40, 1137/40, 57/40, -75/2, 1113/40, 27, 
  -1443/40, -1259/40, -7/3, -12, 79/8, 41/16, 215/16, -145/8, 23/3, 145/32, 
  187/72, -4/3, -463/24, -613/8, 1439/144, 779/48, 27/8, -1/2, -23695/1728, 
  395/144, 329/144, 553/144, -533/144, 1/6, 391/24, -17/24, 1/3, 47/60, 
  29/18, 251/40, 7/8, 0, -221/36, -57/8, 10/3, 217/96, -1/4, 191/36, -41/8, 
  175/48, 45/4, -7, -63/4, 35/4, -99/8, 93/2, 73/4, -167/24, 29/2, -7/2, 
  305/24, -25/4, 61/4, -55/4, -2, -63/4, 7/4, 29/4, -5/3, -1027/16, -4273/48, 
  635/16, -9/4, -551/72, 11953/144, -7/12, 1223/16, 937/12, 5/16, -11953/144, 
  -159/4, 0, 131/12, -79, -1/6, -67/4, 1, 2, 101/4, 27/4, -5/3, -131/12, 
  573/4, 63/4, -55/4, -257/4, -9/8, 3/8, 99/4, 139/8, -141/8, 89/24, -17/2, 
  -145/4, -35/12, -6, 1/4, 71/12, -8, -23/6, 109/48, 185/48, -109/48, -1/48, 
  697/48, -6, 419/48, 7/9, 667/16, -967/48, -385/12, -511/48, 1241/48, 
  -11/12, 327/10, -7, 13/12, -327/10, -1/6, -833/40, -5029/120, 6341/80, 
  3031/180, -141/8, 21/8, 69/16, 197/24, 15/8, 357/16, 47/8, -69/2, -79/8, 
  99/16, -331/8, -51/8, 287/12, 313/16, -4, 4, 11/2, 25/9, 11/4, -125/72, 0, 
  0, 0, 0, 0, 0, 0, 1/3, -49/48, 2, -1/9, 73/12, 4/3, -209/72, 443/24, 41/48, 
  115/12, -1, -27055/864, 3487/144, 761/72, -75/8, -509/72, -823/72, 9/4, 
  -7/6, 89/16, -5/48, -7/12, -67/240, -25/36, -57/8, -1793/144, 209/16, 
  473/32, -484/9, -83/8, 35/8, -1423/96, 8989/288, 95/12, -17/72, -2783/48, 
  1883/96, 457/36, 2507/48, -89/12, 1325/96, 81/16, 223/24, -301/32, -451/48, 
  209/24, -1099/96, 41/4, 503/24, 9/2, 833/27, -487/36, -515/24, -185/24, 
  1373/72, 251/36, 407/24, 133/18, -197/8, 29/6, -379/24, 113/24, -31/12, 
  623/60, -11/18, 229/40, -237/20, -227/24, -13/8, -1/16, -1465/96, 43/32, 
  -7, 101/24, -1/3, 311/48, 121/4, -1133/32, -647/16, -1, -16745/1728, 
  625/36, 761/72, -791/72, -533/72, -413/36, -197/48, 15/4, -5699/240, -8, 
  -163/16, 373/160, 85/16, -47/6, -3587/960, 7/3, 35/12, 1631/120, -23/16, 
  -445/32, 3527/960, 229/12, 11/3, 2293/192, 1197/64, 1925/192, -3427/64, 
  -205/32, -20/3, -89/3, -3079/96, 71/12, 1, -11959/192, 2281/192, 2995/48, 
  -385/48, -5/2, 11845/384, 173/144, -3451/1152, -90817/2304, -1829/256, 
  -265/48, -3205/144, 15599/576, 277/48, -40043/2304, 1067/576, 4009/2304, 
  -59/64, -1495/576, 7/12, 131/24, -3/8, -3/4, 19/48, 3/2, 271/40, 7/8, 2, 
  185/24, 0, -37/18, -199/24, 19/72, -1/12, 0, 77/8, -7/6, 1, 1/24, -1/12, 
  9/2, 0, 0, -41/16, 135/16, -37/24, -57/8, -7/4, 4, 145/16, 239/24, 287/12, 
  -97/12, -1/2, -51/8, 0, 9/2, 9, -31/6, -175/36, 11/8, 345/16, 457/48, -12, 
  1997/144, 5/3, -1801/72, -1241/144, -587/72, -31279/432, -89/12, 1361/144, 
  235/3, -371/24, 653/48, 44/3, -439/9, 97/12, -1667/72, -1723/48, -181/48, 
  743/48, 383/24, -5/3, -127/16, 2447/48, 43/3, 617/120, -10/3, 1241/240, 
  -17779/240, -617/120, 1969/90, 203/16, -5789/48, 47/24, 727/8, 571/8, 29/8, 
  59/20, 1/2, -73/4, -49/20, 103/8, -359/80, -151/160, 2443/240, 243/80, 
  -25/12, -19403/1080, 98/9, -127/72, 6811/360, -61/12, 335/72, -7, -1757/90, 
  -53/24, 117/16, 638/27, 17/18, -4507/288, -3677/144, 203/32, -1985/72, 
  -1033/72, 365/12, 1213/72, 71/4, -917/72, 4, 487/18, 9677/108, 58/3, 
  -5587/144, -74/9, -2935/54, 265/24, 907/72, -191/24, 5/2, -61/3, 27/2, 
  -109/6, 389/20, -3/4, 91/12, 893/80, 5/6, 8051/240, 1171/60, -909/80, 
  -4471/360, 601/40, 29/2, 75/8, -1103/120, -125/2, 37/4, 7729/360, -857/24, 
  -785/144, -121399/2160, -31/24, -5689/240, 10909/360, 13549/216, 1213/80, 
  -37/4, 13/4, 97/8, 523/20, -87/4, -345/8, 2, -133/4, 0, -4197/16, -683/16, 
  9/2, 0, 6785/48, 3381/16, 445/4, 1709/40, 7, 5/4, -1279/48, 115/3, -81/2, 
  1861/48, -13/5, -2361/80, -5513/80, 581/96, -145/16, 17447/1152, -5095/96, 
  3317/64, -881/24, -917/8, -233/8, 4907/40, 1465/12, 225/8, 167/8, -135/8, 
  -77/6, -21/4, -517/6, 559/16, -53/3, 4519/48, -403/12, -499/8, -75559/144, 
  2581/48, 2687/9, 1819/16, 0, 2135/24, -10209/80, -655/16, 6543/80, 561/4, 
  -52871/960, -273/16, -171817/2880, -124577/576, 33475/768, 691207/2304, 
  4995/256, -40501/288, -36209/768, 663/80, 49/8, 13, 21/16, 293/24, -169/12, 
  1063/40, -5737/240, -209/24, -8299/180, -73, 89/30, 2983/36, 449/4, 
  3739/144, 6907/192, -10407/128, -1265/16, 15805/384, 34851/256, 22591/768, 
  -109469/768, -1865/32, 20717/768, 2285/32, 27461/160, 153/20, 15257/160, 
  -4383/16, -1805/12, -797/6, 3461/72, 89/4, 19/80, -1167/80, -35/12, -35/8, 
  -15683/288, -520379/1152, -53431/1920, 152171/480, -36401/96, -2827/16, 
  -41119/80, -140977/320, -1760119/1920, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 3/4, 0, 3/2, -3/2, 0, 3/2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 1/4, 0, 0, 1/2, 0, 0, 0, -3/8, 0, 3/8, 0, 3/8, 3/4, 0, 27/8, 
  5/4, -7/4, -27/8, 1/8, -1/4, 1/2, 7/8, 0, 1/4, 1/2, -1/2, -7/8, -1/2, 0, 0, 
  0, -1, 0, 2, 0, -5/4, 0, 1/8, 1/2, 0, 5/4, 13/8, 0, 29/8, 25/8, -11/8, 
  -47/8, -17/8, 0, -1, 0, 0, 1, 0, 1/4, 0, -1/4, 5/16, 1/8, -5/16, -1/8, 1/8, 
  1/16, -1/4, -7/16, -17/16, 19/16, 0, 0, 1/4, -1/16, -1/2, -13/16, 0, 0, 
  17/16, 9/8, 7/4, 0, -1, 0, 1/4, 0, -3/4, 3/8, 0, 1/12, 0, 2/3, -5/4, 9/8, 
  0, -1/2, -5/12, 0, 1/4, -3/16, -3/8, 0, 1/4, 0, 7/16, 0, 1/8, -1, 0, -1/4, 
  1/32, -1/4, -47/32, -17/16, 5/8, 11/8, 1/2, 7/12, -1/24, 7/12, 53/32, 
  91/96, -1/3, -1/3, 1/4, 5/4, 9/4, 33/32, 21/16, -25/16, -7/12, -131/96, 
  -49/24, 1/3, -49/32, -5/2, 7/16, 41/32, 1/2, 0, -3/4, 1/2, -3/4, -1/4, 1, 
  -2/3, 29/48, -1/12, -25/16, 47/48, -1/2, -7/12, 17/48, 2/3, -7/8, 23/16, 
  9/2, 53/16, 0, -25/8, -13/12, -275/48, -91/48, 25/12, -25/16, -5, 7/8, 
  37/16, 0, 0, -1/4, 1/8, 1/2, 7/16, -1/12, 0, -1/48, 1, -1/2, -7/12, 37/48, 
  2/3, 0, 0, 9/2, -9/8, 17/16, -275/48, -19/24, 17/12, -5, 37/16, 0, -1/8, 
  1/16, 1/4, 1/4, -1/24, -1/4, -13/96, 3/16, 5/8, -3/8, 1/2, -1/3, 1/3, 
  -25/48, -1/96, 0, 0, 9/4, -9/16, -67/48, 103/96, 9/16, -25/16, -77/96, 
  -5/2, 7/16, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 
  -1, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 
  0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -4, -1/2, 3, 5, 3/2, 
  7/2, 0, 0, -3/2, -2, -3, 0, -10, 0, -1/2, 0, -2, 0, 0, -5/2, 0, 0, 0, 0, 
  1/2, 2, 0, 3/2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -1, 0, 0, 14, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7/4, 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, 0, 0, 0, 0, 0, 0, -1/8, -1/8, 0, -1/2, 9/8, 0, -9/8, 0, 0, 0, 1/2, 0, 0, 
  1/4, 0, 0, 0, -3/4, 0, 3/2, -3/2, 0, 0, 3/4, 0, -3/2, 3/2, -3/2, 0, 0, 0, 
  1, -3/2, 0, 0, 0, 2, 0, 0, -7/4, 0, -1/4, 1/4, 3/2, -7/2, -17/4, 1, 1/2, 
  103/8, 113/8, 1/4, -101/8, 0, 17/8, 11/8, -3/2, -17/4, 0, 27/8, 0, -9/4, 
  -25/8, -17/8, -17/8, 15/4, 1/2, -17/8, 0, 13/8, 0, 0, 0, 0, 0, 0, 0, 0, 
  3/4, 0, -1/2, 0, -3/4, -1/2, 0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 
  -31/24, 0, -67/24, -3/4, 3/2, 0, 0, 21/16, -1/4, -31/16, 0, 0, 0, 0, 0, 
  3/2, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 3/4, -3/4, 0, 0, -3/2, 1/2, 
  -1/2, -1/2, 0, -1/2, -5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/4, 0, 5/2, -1/8, 
  0, 3/8, -3/4, 0, 3/2, -3/2, 0, 0, 1, -1/4, 0, 1, -1/2, -1/4, 0, 5/2, 3/2, 
  -7/4, 31/8, 5/4, 37/8, -1/2, -121/8, -51/4, 3/4, 63/4, -3/2, 109/8, 23/2, 
  3/4, -15, -7/2, -77/8, -47/4, 17/4, 7, 0, -3/4, -1/2, 0, 5/4, 3/2, 13/4, 
  -13/4, 0, 13/4, -3/4, 9/2, 1/2, -19/4, -31/24, -1/8, 9/8, 55/24, 21/16, 
  -1/8, -31/16, -7/8, 0, 0, 0, 0, -3/4, -1/16, -1/4, 7/16, -1, 0, -1/4, 1, 
  3/2, 1/4, -1, -3/16, 5/16, -5/4, 0, -3/2, 0, -1/8, -5/8, 0, 0, 0, 9/4, 
  -3/8, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 3/4, 0, 1/4, -7/4, 0, -29/12, 19/12, 
  -5/8, 0, -1/2, -1/4, 0, 0, 0, -1/8, 1/2, 11/6, 1/8, 0, 3/2, 0, 7/8, 5/8, 0, 
  0, 0, -3/4, -3/8, 0, -1, 0, -1/2, 3/4, 3/8, 0, 7/8, 0, 0, 91/24, 7, -7/4, 
  -121/18, -113/24, -1/4, 1/2, 1, 3/8, 0, 0, 1/4, 1/2, -1/2, -53/36, -1/2, 0, 
  1/4, 41/8, 0, 1/4, 0, 0, 5/8, -5/8, -5/8, 1/8, 1/2, 1/4, -1/8, 17/8, 0, 
  -13/4, -4, 3/4, -13/4, -4, 7/8, 5/8, 0, -3/4, 13/4, 1/4, 0, 1/4, -3/2, 0, 
  -1/8, -3/8, 5/4, -17/8, 5/8, -5/4, -1/4, -3/8, -3/4, 5/4, 3/4, 9/8, 4, 3/8, 
  -2, -1/8, 0, -17/8, 0, 1/2, -3/8, -3/8, -1/8, 1, 39/8, -9/8, -1/4, 7/8, 
  1/8, -1/8, 1/8, 0, 0, 0, 0, -41/24, 0, 4/3, 11/24, -11/12, 11/24, -11/12, 
  11/12, 11/24, -1/6, -1/6, 0, -4/3, 11/24, 0, 1/8, 77/96, -79/32, 0, 0, 0, 
  0, 0, 0, 0, -1, 0, -1/2, 0, 0, 0, 0, 0, 0, 7/16, 7/16, 0, 9/8, 0, 0, 0, 0, 
  0, -9/8, 1/4, -3/8, -19/8, -3/4, 0, 0, 1, 1/4, -1/8, 21/8, 43/32, 3/32, 
  -33/8, -13/8, 13/4, -15/4, -19/32, 25/8, 9/8, 21/8, -17/8, -11/4, -1/4, 
  -3/4, 1/2, 13/8, 0, 0, -1/4, 0, 0, 0, 0, 27/32, 3/4, -9/8, -3/4, 0, 0, 0, 
  -1, 2, 0, 0, 0, 0, 0, 0, 1/8, 0, 0, 0, -3/8, 0, 47/24, 1/6, 0, 0, 0, 11/6, 
  1/4, 0, -13/6, 0, -1/4, -11/12, 0, 0, 0, 0, 35/24, -5/12, 0, -13/12, 0, 
  -1/4, 0, -3/8, -1/2, 0, 0, -11/8, 0, -49/24, -2, 23/24, 103/24, 7/24, 
  -13/12, 1/4, -19/24, -17/24, 5/8, 5/4, 19/12, 13/12, -13/3, -3/8, 169/72, 
  23/6, 1/2, 11/8, 89/24, 0, 69/32, 9/4, -11/8, -19/16, -1/3, 31/12, 5/4, 
  7/6, 7/3, 3/4, -3/4, -7/3, -2/3, 28/3, 11/8, -205/36, -143/24, 0, 1/12, 
  125/32, 9/4, 19/12, -11/8, -47/16, -19/12, 1/3, -1/12, 43/12, -53/18, 
  -29/6, 0, 0, 1, 7/8, 1/2, 0, 5/4, 7/8, 0, 37/24, 55/8, -11/8, -563/72, 
  -167/24, 1/4, 9/4, 89/16, -11/16, -61/8, -1/8, 19/16, -4, -3/4, 107/16, 
  21/8, -19/8, -15/4, 7/8, -3/2, -97/16, 3/8, -1/16, 119/16, 23/16, 17/8, 
  171/16, 85/16, -9/4, 5/8, 1/16, -181/16, -7/2, -1/4, 4, 3/8, -19/8, -7/8, 
  -1/2, -3/4, 19/8, -1/8, -273/16, -7/4, 69/8, 27/4, -25/8, 3/2, 183/16, 
  -7/8, -5/16, -183/16, -13/16, -13/8, -187/16, 15/16, 19/8, -233/16, -7/4, 
  69/16, 119/16, 25/8, 3/2, -51/8, -7/8, 35/8, 5/8, -2, -45/8, -1/8, 181/16, 
  -11/8, -2, 19/2, 5/2, -1/4, 11/4, -25/8, 0, 3/2, 0, 33/8, -2, -1/2, -9/8, 
  -33/8, -17/4, 35/8, 33/8, -13/4, 1/8, -11/8, -19/4, 3/2, 3/8, 3/2, -17/8, 
  -1/8, 7/4, -1/2, -17/4, 9/8, 0, -5/8, 37/8, -7/4, -33/4, 5/8, 1/2, 3/4, 
  9/4, -17/8, -43/8, 13/4, -1/2, -3/8, 17/4, 0, 35/8, 1/2, -5/8, -51/8, -7/4, 
  0, 3/2, -1, 1/4, 3/4, -1/2, 13/8, 43/8, 0, 49/8, 5/8, -9/4, -9/2, 1/8, 1/2, 
  7/8, -17/4, -1/8, -7/8, -3/8, 0, -9/8, 0, 5/8, -11/4, 37/4, -7/8, -3/8, 
  9/4, 0, 23/24, -107/48, -1/4, -1/8, -11/12, 11/6, -11/12, 11/12, -11/12, 
  11/48, -43/24, -43/24, 2, 11/12, -11/12, -29/24, 11/48, -107/48, -43/24, 
  61/48, 0, -5/6, 85/48, -143/96, -173/96, 0, -55/96, -55/32, 0, 0, 1, -5/6, 
  1, 45/32, -3/4, 0, -55/96, -13/3, 0, 85/48, -235/48, 281/96, 251/96, 
  -155/48, -11/12, 11/12, 11/12, 49/48, -1/6, -139/96, 77/96, -11/16, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/16, 1/4, -3/2, 0, 0, 0, 0, 0, 0, 0, 15/32, 
  -5/8, 19/32, 1/8, 0, -59/32, -59/32, 0, 1/8, 13/32, -5/8, -61/32, 0, 0, 
  -1/8, -35/32, 5/8, 93/32, 11/16, 0, 0, 0, 0, 0, -13/8, 15/32, 13/8, -23/32, 
  -51/16, 3/4, -3/8, 3/4, 3/8, 1/2, -9/8, 1/8, -3/4, -1/2, -1/2, 5/8, -3/16, 
  0, 1, -3/2, -7/4, 5/4, -1/2, -1/4, -1/4, 1/2, 4, 1/4, -3/4, -2, -27/16, 0, 
  7/4, 0, 0, 1/4, -7/4, 1/2, -3/4, 5/2, 3/32, -1/4, -15/8, 1/2, -19/6, 
  -43/32, 29/8, 11/4, -17/8, 31/32, -3/2, 17/24, 17/8, 0, 0, 1/4, -49/32, 0, 
  3/2, -5/8, -5/6, 1/12, -1/4, -1/12, 2/3, 1/3, -1/4, 1, -9/2, -5/6, 1/2, 
  7/12, 265/96, 119/96, -1/3, 25/32, 5, -41/32, -31/8, -9/16, -1, 9/16, 7/4, 
  31/8, -3/4, 39/16, 45/32, -11/2, 29/16, 37/8, -1/12, 41/16, 31/8, -9/16, 0, 
  -9/32, -29/32, -139/64, -9/32, -1/2, 43/16, 45/32, 5/4, 13/16, -11/8, 2/3, 
  -1/12, 85/48, 0, 0, 31/32, -9/32, 17/16, -289/192, 0, 0, -2, -2, 0, -3, 0, 
  -5/4, 15/4, 0, 0, 0, 9/2, -1/4, 0, -3/2, 1/4, 0, 1/8, 47/16, 1/4, 0, 0, 
  -11/8, -5/4, -1/2, 19/4, 0, -1/4, 0, -1/4, 0, -1/8, 9/8, -3/16, 7/4, 0, 
  13/16, 17/16, 0, 0, -3/8, 11/8, 5/4, 1/4, -3/8, -23/8, -1/4, -7/32, 5/4, 
  403/32, -13/8, -3, -2, -9/8, 23/24, -95/16, 25/16, 5/8, -77/12, 0, -7/8, 
  -313/24, 21/4, 2669/96, 505/96, -497/24, 69/32, 19/4, -5/8, -2273/288, -2, 
  1/4, 87/32, -25/32, 1/2, 89/48, 207/32, -5/4, -9/4, -3, -1/3, 1/16, -11/12, 
  -105/16, 15/16, -1/3, 1/3, -1/4, -5/24, 15/8, -101/48, -6, 41/8, 7/12, 
  -61/32, 87/32, -1/3, -217/96, -5/4, -3/8, 1027/288, -9/4, -5/4, -133/32, 
  -1/8, -3/4, -51/16, -25/8, 3/8, -3/8, 0, 79/16, 7/4, -15/8, -91/24, 1/2, 
  -13/8, 83/12, -9/16, 11/16, 11/4, -43/24, 181/24, -9/8, 11/24, -1429/48, 
  -8/3, 333/16, -161/48, -6, 0, 547/48, 7/4, 1/4, -41/16, -1/8, -3/4, -29/8, 
  -1/2, 1/2, 97/48, 7/4, 1/2, -79/24, -1/2, -2/3, -13/8, 83/12, -1/4, 1/2, 
  37/16, -1/4, 47/12, 0, 223/24, -501/16, -23/12, 1081/48, 7/8, -6, 1/2, 
  177/16, 0, 0, 0, -25/32, 3/2, -29/16, 61/32, -19/32, -2, 139/32, 0, -5/16, 
  7/4, 0, -1/2, 103/32, -11/16, 135/32, -55/32, -25/32, -1/8, 15/8, -185/32, 
  7/16, -197/32, 93/32, -17/8, 27/16, 19/16, 3/4, 1/4, 1/2, 103/32, -123/32, 
  7/16, 9/16, 3/2, -5, -185/32, 15/16, 43/8, 9/8, -19/8, 27/16, -37/8, 3/4, 
  -9/16, 107/32, -231/32, 37/24, -1417/96, 91/16, 21/16, 457/32, 491/48, 
  -103/16, 1/2, -11/4, 9/4, 0, -7/6, 71/16, -43/48, 2/3, 59/48, 0, -137/48, 
  413/48, -17/8, 199/24, -153/16, -105/16, -3/2, 9/4, -3/8, -2, -53/32, -3/8, 
  1/2, 51/32, 7/16, -9/4, -33/16, 1, -25/48, 53/48, -7/6, -133/48, 97/48, 
  -37/48, 0, 1/4, -239/24, -99/16, -151/48, 33/16, 9/8, 0, 26/3, 97/24, 
  57/16, 47/8, -5/2, -37/16, 9/4, 0, -53/32, 7/16, -1, 87/32, -7/16, 1, 
  -17/16, 0, 349/96, -9/16, 2, -19/6, 1/8, 0, 13/48, 5/4, 0, -7/48, 43/16, 
  -81/16, 97/48, -19/16, 14/3, 23/8, -127/48, -259/48, 15/8, 27/4, 0, -7/2, 
  -7/4, 1/4, 7/16, 13/16, -7/16, -17/16, 0, 253/96, -9/16, 1/2, -19/6, 9/8, 
  0, 13/48, 5/4, 0, 1, 127/32, -75/16, -1/8, 11/16, 1, 1/48, 33/8, -3/4, 
  -265/48, 79/48, 63/8, -29/8, -241/48, 7/8, -25/24, -163/96, -77/96, 7/6, 
  17/32, 77/96, 7/6, 0, -1/2, 0, 0, 0, 35/48, -2, -7/4, 11/24, -11/12, 11/24, 
  -11/24, -11/24, 11/24, 11/24, 11/24, -17/48, 79/96, 61/24, 1061/192, 
  355/192, -1/16, 229/192, 65/64, -1/3, -57/16, -815/96, -337/96, 361/48, 
  131/16, -11/24, 11/24, 11/24, -1/4, -11/32, 61/24, -9/8, 309/64, 1, 55/32, 
  229/192, -13/48, -1/3, -947/96, -253/32, -527/192, 625/64, 421/48, -9/8, 
  5/8, 1/32, 0, -55/32, 0, 2, 0, 0, 0, 0, -3/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 
  -23/8, 9/2, 1/16, -15/8, 119/32, 43/96, -77/24, -3/32, -423/32, -183/32, 
  267/32, 445/32, -17/16, 0, 0, 0, 0, 0, 0, 0, 1, 7/16, 0, -7/16, 0, 0, 0, 
  5/16, 0, -1/4, 1/8, 3/4, -1/8, -1/2, 1/2, -1/12, -161/96, -13/96, 89/96, 
  -7/6, 1/12, 67/32, 2/3, 0, 9/2, -9/8, -9/2, 9/8, -67/24, -9/2, 47/12, 
  67/24, -5, 5, 5, -3/4, -1/2, 7/8, -43/32, 15/16, -9/8, -7/16, -1, 1/12, 
  -17/48, 235/96, 69/32, 2/3, -5/48, 0, 0, -9/2, 0, 19/6, 1/4, 3/4, 5, -5/8, 
  -1, 5/2, 3/32, 3/4, -5/4, 13/16, 3/2, -17/16, 7/3, -7/4, -269/96, -79/32, 
  -77/48, -4/3, 233/96, 3/8, 63/16, -89/16, -225/32, 19/4, 43/48, -39/16, 
  163/24, -67/48, -9/16, 21/8, -3/16, -3/4, 0, -69/32, -1, 0, 69/32, 0, 0, 
  1/4, -1/8, -1/2, -3/4, -133/96, 73/32, 23/48, 0, -9/2, 9/8, 227/48, 5, 0, 
  1/4, -1/8, -3/4, 1/8, 1/2, -1/2, 1/12, -1/2, 425/96, 127/96, 1, 41/48, 1/8, 
  2/3, 1/6, -2/3, 161/48, 2/3, 0, -9/2, 0, 9/8, 9/2, -9/8, 67/24, 65/32, 
  -577/96, -19/24, -17/192, 5, -5, 37/16, -1/2, -15/16, -3/16, 21/16, -15/16, 
  -11/16, -5/48, 1, 0, 35/12, 1, -37/48, 0, 3/2, 1/4, -13/8, -1/2, -1/4, 
  1/24, -1/3, -179/96, 1/3, 0, 0, -9/4, -9/4, -19/96, 25/16, 0, -5/48, 89/96, 
  0, 3/4, 5/2, -7/16, 3/4, 1/2, -25/16, 1/32, -3/2, -7/4, 3/16, -3/4, -5/8, 
  5/4, -7/6, 43/24, 1/2, -109/32, -9/16, -5/4, 41/48, -2, 2/3, -2/3, 5/8, 
  1/48, 0, -1/2, 7/16, 119/32, 1/2, 389/96, 1/16, 11/8, -3/2, -1/2, 2/3, 
  -773/48, 23/48, -25/16, 215/96, 63/32, 1/2, 11/12, 3/4, -2/3, 9/8, -19/4, 
  -9/4, -73/32, 29/16, 25/16, 1/2, 419/96, -31/48, -7/4, 1/32, 5/2, -7/16, 
  -33/32, 1/8, 1/4, -85/64, 169/64, 109/32, -69/64, -5/64, -7/8, 0, -5/32, 
  -11/16, 7/8, 17/192, -193/32, 43/64, 25/48, 7/16, 0, 3/32, -45/32, 149/96, 
  -87/64, 0, 15/32, -15/16, -1/16, 3/4, 149/64, 73/32, 11/32, -205/32, 
  -167/64, -1/2, 217/96, 37/48, 107/32, -839/48, -1235/192, 1517/192, -41/48, 
  -565/96, 3995/192, 127/96, 13/8, -41/16, -27/4, 1595/192, 175/32, 25/16, 
  149/96, 401/32, -3691/192, -1417/96, -41/32, 15/2, -7/16, 173/32, 1/4, 
  -33/32, -3/8, -5/4, 45/32, 3/8, 3/4, -3/8, 1/4, -1/3, 23/24, 1/4, 35/32, 
  -55/48, -5/8, 23/96, 1/2, 0, -1/3, 25/48, 1/96, 0, 0, -221/96, -39/8, 3/4, 
  85/12, 17/8, -3/8, -51/16, 1/2, 1/2, 353/96, -5/12, -281/96, -137/24, 
  19/32, -7/6, 1/8, 145/96, 2/3, 49/48, 207/32, 9/4, -27/32, -7/8, -25/16, 
  -17/4, -527/96, 17/6, 161/48, 27/32, -5/2, 7/16, 5/32, -1/4, -29/96, 11/24, 
  3/8, 185/192, 19/48, 3/8, 235/192, -1/2, 1/12, 27/64, 23/96, 277/192, 
  55/64, 1/3, 89/192, -25/12, -197/48, -139/64, 1/48, 25/16, 929/192, -7/12, 
  103/192, -89/192, 401/96, -7/16, -7/12, 0, 0, 1/8, -1/16, -1/4, 1/4, -1/8, 
  1/24, 1, 19/96, -13/8, -1/12, 3/8, -25/32, -1/3, 0, 0, -9/4, 0, 9/16, 
  -61/16, 23/24, 323/96, 133/48, 5/2, -39/32, 0, 1/8, -1/16, -3/8, 1/16, 1/4, 
  -1/4, 1/24, 0, -35/96, -11/48, -1/4, -65/48, -1, 1/3, -1/4, 7/48, 17/12, 
  1/3, 0, -9/4, 1/4, 7/16, 9/4, -1/2, -9/16, -1/2, 71/48, -25/48, -137/24, 
  163/48, 7/6, -1/12, 89/48, -2/3, 0, -2, 9/8, -5/2, 67/24, 9/2, 45/32, 
  -67/24, 5, -5, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9/2, 0, 0, 1, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/36, 0, -1/2, -1/2, -1/2, 0, 0, 
  0, 0, 0, 0, 4, 0, -4, 0, 3, 6, 25/12, 0, 25/12, 0, 0, -5, -1/2, 0, 3/2, 
  1/2, 0, -7/8, 0, 0, -1, 5/2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 25/12, 0, 0, 4, 
  1, 1/36, -3, -3, -1/36, 0, 0, -3, -3, 23/9, 0, 35/36, 0, -17/36, 0, -1/2, 
  1/2, 0, 0, 0, 1, 0, 0, 1, 3/2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32/9, 0, 
  -119/18, 1, 32/9, 0, -3/2, 1/2, -1, 3, -5/2, -5/4, -9/2, 0, 1181/4, -85, 
  1161/4, -13/2, -17/2, 7/4, -27/4, -17/4, 5/2, 17/4, 17/4, 0, -1/2, 5/2, 1, 
  -17/4, 0, 17/4, 0, -3, -19/20, -11/5, 67/60, 0, 0, 1/2, 0, 0, 3/2, -5/2, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 1/2, 1/2, 1/2, 1, -5/2, 2, 1, 
  -1/2, -1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 9, 0, 
  -1/2, 0, 0, 0, -1/2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, -19, 4, -4, 0, 25/24, 
  73/24, -7/8, 1/2, -1, 0, 0, 0, -1/2, -1, -17/18, 0, 0, -2, 0, 2, 0, 0, 4, 
  1, -6, 0, -173/18, -2, 91/18, 2, 0, 0, -1, 0, 0, -2, 0, 0, 0, -101/18, 2, 
  41/9, 59/9, -1573/40, 3111/5, 2843/4, -2521/4, -171/4, -31/2, -2, 29/2, 
  53/4, 23/4, -35/4, 3/2, -1/2, 0, 9/4, -3/4, -25/4, -13/40, -19/60, -17/20, 
  29/60, -3593/80, 753/16, -6663/80, -2159/4, 9, 31/2, -17/2, -79/4, -1/2, 0, 
  0, 15/4, -7/20, 27/40, -7/20, 343/60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -1/2, 1/2, 3, 1, 0, 0, -3, 0, 0, 0, 0, 0, 1/4, -3/10, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -107/32, 99/32, 0, 0, -13/8, 0, 0, 0, 0, 1/4, 
  0, -1/4, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, -1/2, 0, 0, 
  1/2, 1/2, -1/2, 0, 0, 0, 0, 1/4, 0, 0, -1/4, -1/4, -3/4, 23/4, 3/2, -1/4, 
  0, 9/4, 3/2, 0, 0, 9/4, -59/24, 1/4, 1/4, -1/4, -5/2, 2/3, 31/12, 0, 3/4, 
  -1/4, 29/24, -1/4, -1/4, -19/24, -1/12, 0, 0, 0, -3/8, 1/2, 1/8, -13/8, 
  -11/8, 1/4, -11/8, 1/4, 25/16, 31/48, 0, 0, 0, 0, 3/8, -1/2, -1/8, 13/8, 
  9/8, 0, 0, 0, -1/4, -57/16, 1/8, 27/8, 1/4, 1/4, -1/4, 2, -1/12, -3/2, 1/4, 
  -3/2, 0, 17/24, 0, -19/8, -17/24, 3/8, 0, 9/8, 29/6, 0, -3/16, 1/4, -29/16, 
  13/12, -5/96, 29/96, 0, 0, -5/8, 1/2, 3/8, 0, -7/8, -67/12, 0, 27/16, -1/4, 
  -29/16, -37/12, -3/8, 0, 0, 0, -5/4, -9/8, 13/8, 3/4, 0, 0, 0, -7/24, 
  -67/18, 0, 89/36, 23/18, 0, -2/9, 0, 2/9, 2/9, -167/2, 7479/160, -7/4, 5/2, 
  -5/8, -17/8, 1/2, 1/2, 13/16, -13/16, 0, 1, 3/4, 11/8, -7/8, -1/8, 1/4, 
  -1/8, 3/10, -3/10, 0, 0, 33/32, -41/32, -1/2, -7/4, 0, -3/4, 0, 3/8, 3/4, 
  1/2, 0, 0, 0, 3/2, 17/8, -1/4, 0, 3/8, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 185/48, 
  -37/96, -185/96, 3/4, 19/12, -5/24, -9/8, 0, -1/4, 1/2, 17/8, -1/4, 1/4, 
  -37/32, -1/4, 43/192, 3/8, 0, 0, 0, -1/2, 0, 0, 0, 1529/60, -15/2, -251/20, 
  -251/20, 0, 0, 0, 0, 0, 0, 27/32, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, -27/32, 
  0, 0, 0, 0, 0, -105/4, -2687/120, 1513/30, -105/4, 3/8, 287/15, -1/4, 1/4, 
  -3/10, 238/5, 0, 0, 0, 56065/576, 471/64, 0, 0, 0, 0, 13/2, -13/2, 0, 13/2, 
  -3/4, 465/64, 471/64, -59/32, -117/32, -83/64, 475/64, 0, 0, 0, 0, 107/192, 
  -305/192, 65/192, 11/12, 145/192, -23/16, -5/8, 0, 1/4, -1/4, 0, 1, 0, 1/8, 
  0, 5/4, -5/4, -3/8, 0, -1/8, 0, 0, 0, 0, 0, -1619/108, -139/64, 16885/864, 
  0, 0, 0, -14, -17/2, 0, 0, 0, -22, 1/6, -1/4, -13/3, -3/4, -3/4, 3/4, 
  13/12, -35/48, -1/4, 13/6, 0, -1/12, 0, 0, 0, 0, -5/24, 0, 0, 0, 0, 0, 0, 
  0, 0, -3/4, -3/4, -3/4, 3/4, -1/4, 217/24, 3/4, -5/6, 14, -213/4, -29, 
  17/2, 337/6, 14, 0, 33/4, -1, 0, -52/5, 35/4, 143/20, 283/12, 233/8, 0, 
  -683/12, 319/12, 13/8, 0, -73/2, 0, -5/2, 213/20, 0, -243/20, 7, 105/4, 0, 
  -7/2, 59/4, -5313/320, -3273/160, -53/4, 9713/320, 9, -4447/640, -5, 
  -105/4, -61/4, -14, 63/4, 227/8, 67/4, -89/2, -1/2, -29/8, -7, 49/4, 89/8, 
  7/2, 193/8, 87/8, -17/4, -9779/640, 5/2, 251/96, -13/12, 1/4, -5/8, -3/4, 
  25/48, -17/8, -23/12, 19/12, -41/8, -43/48, 1/4, 8/3, 19/6, -5/8, 9/8, 0, 
  -29/12, -3/4, 21/8, -71/24, -7/4, 31/12, 0, -21/16, 397/96, -245/96, 
  -41/48, 1/32, 23/32, 0, -31/48, -41/48, 0, 17/8, 0, -209/48, -9/8, 0, 
  31/48, 31/24, -7/8, -3/16, -1/16, 1/12, -1/2, 0, 0, 1/2, 0, 0, 0, 0, -3/8, 
  11/8, 0, -19/8, -1/2, 0, 0, 1/2, 1/2, 9/16, 1/4, -1/16, -1/12, 0, -4/3, 
  3/4, 35/24, -199/48, 99/16, 77/24, 1/4, -11/8, -283/24, 5/4, 67/6, 0, -1/4, 
  13/4, -1/2, -1/2, 21/8, 29/16, -7/4, -23/8, 11/8, 3/4, 3/4, -3/4, -2, 
  -11/8, 0, 7/8, -29/6, 3/8, 97/4, -35/6, 89/16, -499/192, 19/8, 1/4, 0, 
  -5/4, 137/24, 245/36, -1/48, 39/16, 253/72, 0, 0, 0, 0, -6, 1889/72, 
  -1985/72, -2033/72, -1, 83/18, 0, -107/18, -65/18, -4925/72, -1153/24, 0, 
  -1847/96, -10819/144, 625/48, 0, -755/24, 29/6, -19/8, -7/4, -3/8, 
  -1307/24, 35/6, -979/16, 0, 1415/48, 3/4, 2, 7/4, 15/8, 25, 7/3, 3/16, 
  35/16, 3/2, -97/48, 59/12, 11/16, -9/16, 19/4, -121/48, 2/3, 5/12, 97/192, 
  4/3, -17/12, -91/24, 0, 659/192, -41/12, -1015/192, -91/24, 163/192, 
  659/192, -177/64, -27/8, 1/8, 0, 3/8, -46/9, -7/8, -59/16, -7/4, 199/48, 
  -245/72, 187/24, 33/16, -9/8, -43/16, -229/24, 0, 0, 0, 0, 0, 3/8, 0, 
  -25/12, 3/8, 0, 1/8, 3/4, 0, 0, 0, 3/2, 0, -3/4, -3/16, -1/4, 25/16, 1/4, 
  -1/2, 1889/72, 0, -1889/72, -1925/72, -212/9, 0, -3205/72, -2347/72, 0, 
  -10669/288, -1/4, -8063/144, 4727/144, -81/8, -8, -3/4, -4289/72, -3107/72, 
  0, -2663/96, -3/4, -9835/144, 1033/48, -7/24, -379/144, 1, -11/36, -2, 
  171/4, 53/48, 217/8, -215/12, -481/48, -355/24, 93/8, -701/16, -4925/96, 
  269/12, 5021/96, 245/16, -3/4, 363/16, -393/16, 0, -3/8, 51/2, -1/8, 
  -697/480, -439/16, 25159/120, 113711/240, 24383/80, 15063/80, -19063/80, 
  -5615/16, -98669/80, 12827/5, 685/12, 6847/48, 2907779/1920, 58319/160, 
  -72739/160, 27543/32, -769139/1920, 271/16, -294771/160, 1429/40, 605/8, 
  -19331/320, -4963/16, 29589/20, 10457/32, -16491/32, 805457/1920, -128/3, 
  185/6, -433/12, -95/8, -709/48, 4565/64, 427/24, -4565/64, -541/24, 
  -709/48, 14107/192, 427/24, -14011/192, 1049/48, 457/48, -947/48, 143/48, 
  1781/96, -1681/48, 2213/48, 7123/96, -1667/48, -613/8, 427/24, -21/16, 
  -205/48, -5/16, 181/48, 3/2, -11/8, 119/4, -1, -255/16, 11/8, -3/4, 255/16, 
  1/8, -1/4, 1/8, 0, -39/4, -369/16, 299/16, 21/2, -7/4, -35/16, 13/8, 
  -713/16, 9/4, 1/2, 23/2, -1, 145/16, -87/8, 587/32, 8867/480, 85/24, 
  -701/32, -827/240, -7369/480, -2689/160, 4241/480, 1819/960, -1/6, 
  -7343/480, 181/160, 937/40, 7571/480, 513/80, 4057/480, -425/24, 259/48, 
  -10141/480, -581/80, 413/60, 7357/480, 91/30, 1357/240, -973/288, 9/4, 0, 
  -9/4, 0, 9/4, -305/192, 1/2, 1/4, -1/4, -13/4, 43/8, -1/4, -13/4, -1/4, 0, 
  1/4, 7/4, -7/4, -7/4, -3/4, 0, -3/4, 3/2, 1, 0, 0, 0, 0, 0, -45/64, -1/4, 
  3, -1019/192, 305/192, 821/192, -1117/288, -437/192, -7/2, 305/192, 145/32, 
  -1117/288, -137/32, 7/4, -2, 9/4, -1, -3, 23/24, -41/64, -27/8, -91/16, 
  43/8, -59/192, -139/192, 139/192, 1/2, -5/8, 5/8, 0, -5/8, -1/8, 4, 0, 
  -3/4, -9/8, 3/4, -13/4, 1, 19/4, -1/4, -1/16, 1/8, 7/16, 0, -5/8, 0, 5/8, 
  1/8, -4, -1, 3/2, -1/4, 1, -7/2, 7/2, 7/2, -3/16, -223/64, 0, 15/4, 0, -1, 
  1, 1/4, 67/16, -2651/192, -7/8, 2351/192, 135/64, -2615/192, -2999/192, 
  -5/4, 193/24, -3/16, 487/64, -463/192, 63/8, -277/192, -47/96, -437/96, 
  -193/96, 291/64, 1001/192, -437/96, -545/192, 291/64, 103/64, 5/4, 9/8, 0, 
  0, 0, -11/24, 3/4, -5/4, 1/2, 3/2, 0, -55/6, 2, 0, 1, -1/2, 1/4, 1/4, 
  1525/192, -5/4, 917/192, -9/2, 25/24, -277/192, -451/192, -37/32, 589/192, 
  -5/192, -333/64, 0, 0, 0, -39/8, 23/12, -3/8, 0, -3/2, 1/2, -1/4, 1, 0, 0, 
  -1/2, 0, -1, 0, 3/2, 1, 33/8, -15/8, 7/4, -31/8, 9/16, 31/8, -9/16, 0, 
  309/32, -71/32, 93/32, 9/32, -9/32, 27/32, -10969/1728, -923/288, -3/8, 
  121/24, 0, 0, 0, -97/64, 313/64, 1, -791/72, -1/4, 0, -137/30, 0, -1/4, 
  869/16, -847/16, 2521/48, -2123/48, 59/8, 0, 2193/32, 6619/96, 0, -869/16, 
  1435/12, 915/16, -20341/288, -3187/48, -131/32, 649/16, 127/16, -649/16, 
  -123/32, 1253/64, -1307/32, -1239/64, -467/64, -165/64, -27/32, -65/64, 
  133/64, 9/8, 0, -449/288, -4015/288, 0, -16325/192, -47/16, 1095/64, 55/16, 
  -11/32, -51/16, 537/16, 167/8, -537/16, -283/16, 499/32, -1083/32, -247/8, 
  -607/64, -309/16, -27/32, 503/32, 861/64, 9/32, -3/4, 167/16, 5/4, -167/16, 
  -1/2, 17/32, -1083/32, -221/16, -727/64, 27/32, -45/32, 3/8, 655/64, 27/32, 
  3/4, -311/48, -1255/288, 493/192, 667/288, 265/48, 0, 77759/3456, -103/192, 
  0, 25/6, 35/12, -42241/864, -123/32, -341/96, -76391/3456, 71801/5184, 
  3/32, 81287/1152, -73259/5184, -83519/1728, 51335/3456, 85/24, -55655/2592, 
  5, -10483/1728, 75965/1728, 128131/5184, -1/2, 72881/5184, 3/32, 3/2, 
  -65159/5184, -1, 64619/3456, 85/24, -148939/5184, 5, 73853/3456, 
  -9727/1728, -781/144, 83663/2592, 7/4, 0, 0, 13/8, -5/2, -3/16, 0, 0, 
  47/16, 0, -7/4, 7/4, 0, 163/32, 0, 0, -31/16, 5/4, 1/4, 5/4, -177/16, -7/2, 
  177/16, 9/4, 83/16, 155/32, -14, -67/16, 783/64, 9/32, -2311/64, -703/32, 
  -9/32, 0, 0, -5/8, 177/32, 11/8, -145/32, 0, 0, -217/32, 0, 0, 1/2, 0, 
  -3/2, 0, -3/4, 5/4, 49/8, -6557/288, 823/36, -23/4, -451/64, 3481/432, 
  99/32, 17209/576, -17209/576, -16885/1728, 0, 0, 0, -117/32, 6989/864, 
  -217/96, 317/96, -17533/1728, -7/12, 35/4, -5/12, -805/192, -137/64, -1/8, 
  -1/4, 13/12, -317/96, -439/192, 1/4, 313/96, 0, -11/48, -1/4, 1/2, 1/4, 
  -1/2, 2/3, 0, -1/4, 0, -2/3, 1/4, -1/4, 195/64, 0, -503/192, -557/48, -3/8, 
  -1, 1/4, -345/64, 575/96, 7/8, 71/32, 0, -289/36, 1/4, -14, 28/9, -35/4, 
  13/24, 5/4, 67/8, -5/4, 11/24, 497/48, 1, -23/8, 1013/48, -35/12, -7/6, 1, 
  3241/96, 559/24, 379/64, -375/16, -133/64, -19/24, -3167/96, -101/12, 
  19/24, -23/8, -581/24, 91/64, 283/48, -419/96, 1/6, -13/8, 3/2, -61/16, 
  -119/24, -1/4, 1/4, -5/3, 1/16, 121/48, -1/4, 35/12, -5/12, 7/3, -55/96, 
  1637/192, 323/32, -333/64, -13/24, 23/3, -141/16, 19/24, -89/16, 237/32, 
  877/192, 107/24, 3/32, 1/2, 403/48, 143/96, -57/16, 59/48, -35/16, -17/12, 
  319/48, -643/192, 19/24, -4, 247/48, -197/48, 923/192, 145/24, 0, -7/48, 
  -269/384, 131/36, 317/384, -131/36, 0, 13/8, 1/4, -1/2, -1/4, 1/2, 0, 
  349/192, -1237/384, -709/384, -1/2, -5/24, 2213/384, 0, 1991/96, 4519/384, 
  0, 23/16, 349/192, -7/2, -231/64, -17/8, -1/2, -5/24, 2209/384, 0, 
  5557/384, 485/192, 505/128, 4571/384, -5/4, -11/48, 0, 0, 5/4, 11/48, -2/3, 
  0, 1/4, 0, 2/3, -1/4, 0, 67/16, 27/8, -31/16, 17/8, 1/2, -31/16, 0, 
  -107/16, 157/16, 131/64, 0, 7/32, 0, -9/32, 0, 0, 0, -23/32, 0, 75/32, 0, 
  0, 57/16, -265/16, -671/32, 61/4, -1/4, -11/6, 1961/96, 5/4, 0, 3/16, 
  329/16, 47/24, -27/8, 1/4, 3/4, -1/2, 1/8, 59/8, 3/2, 5/4, -1/4, 35/12, 
  -7/8, -3/2, -19/6, -1/4, 103/96, 17/32, -469/96, -2, 121/24, 7/6, 13/24, 
  43/8, -7/6, -25/48, -61/48, 235/48, -55/12, -73/32, 0, -235/192, -1/32, 
  -11/4, -25/8, -3, -1/4, 7/8, 99/16, -1/2, 331/192, -121/192, 127/48, 
  -79/192, 355/192, 7/3, -2945/144, 1903/48, -1237/32, 503/96, 23/8, 
  4847/768, 39/64, -4205/384, -491/96, 25/16, -2139/128, 87/8, 0, 0, 0, 
  -57/16, -11191/96, 1627/96, -709/32, -13177/288, -21/4, -1603/18, 6233/288, 
  17899/288, 977/48, 5279/48, -1591/144, 119/4, -20869/144, -301/72, 
  -679/144, 469/144, -13/18, -79/72, 203/12, -817/144, 367/72, -553/16, 
  1377/32, 61/8, 4, -1007/96, -7/2, -1/2, 25/16, -201/16, 5/2, 1/2, 571/16, 
  1993/48, 0, -107/48, -119/288, 1, -4033/144, -53/24, -47/24, 2765/48, 0, 
  -41/48, -835/48, 11/4, 2999/144, 665/16, 2177/48, -1943/48, 3529/96, 
  -2735/288, 3/2, -9079/288, -79/12, -1/4, 5507/144, 11/32, -7/4, 1295/48, 2, 
  -275/72, 973/24, 355/48, -1961/48, 19/6, -2123/288, 0, -14965/288, -3/2, 
  1987/384, -139/64, -1625/384, 239/192, 11/12, 4577/576, 5/192, -2483/128, 
  -869/192, 617/48, 467/192, -211/16, 0, -1727/192, 63/32, -100049/13824, 
  179/64, -11/24, 0, -293/64, -179/64, 1/3, 46481/13824, -1/192, -57941/4608, 
  625/64, 45445/4608, 739/384, 479/64, 41/24, -211/384, -1561/192, -87/32, 
  191/128, -413/192, 745/192, -61/48, 11707/3456, 11303/384, -49301/4608, 
  -587/64, 47173/4608, 1/2, 79/8, 41/24, -29/48, -127/24, -3/4, 8179/1152, 
  -413/192, 97/64, -61/48, -34075/1728, 2983/128, 15691/4608, -519/64, 
  -23195/4608, -23/24, 3/8, -7/24, -1/8, 47/16, 23/24, -3/8, -1553/288, 0, 0, 
  -24961/960, -1/2, 124651/5760, 1/8, 0, 1303/144, -1897/384, -1/3, 
  24961/960, -131881/5760, -13/6, -77/32, 1/2, 89/96, 335/64, -13/8, 125/192, 
  1/4, -439/128, -1149/128, -629/192, 111/128, 20081/960, -279/32, 
  -128641/5760, -145/32, -17/12, 319/64, -1/2, -53/24, -1361/128, 9/8, 
  275/128, 17/12, -951/64, 1/2, 6377/384, 79/8, 0, -5555/144, 351/32, 293/32, 
  -19/4, -11725/144, 6175/144, 595/96, 587/48, 4583/144, -15/2, -13757/144, 
  0, -73/8, 865/48, 327/32, 801/32, -41/4, 1/2, 5719/144, -809/96, -1/2, 
  95/8, -6605/144, -61/8, 4007/72, 2617/72, -133/6, 1915/144, 809/48, 
  1163/24, 8201/144, -37/8, -7/8, -1025/48, -8639/144, 11/6, -603/4, -805/48, 
  -35, 6767/36, 2783/72, 0, -425/36, 457/24, 11/4, 2425/72, -11/8, 277/24, 
  -1997/96, -2353/72, -9/8, 149/9, -3641/96, -29/3, 1985/9, 1379/48, 731/72, 
  -953/48, 349/72, 79/16, -452239/1920, -1341403/960, -180983/80, -11705/32, 
  45/16, -158099/160, 59663/80, 8061/16, 275569/320, 737/32, 0, -29/32, 
  142507/60, -77/8, 753317/320, 9417/64, 113/72, 49/6, -673/144, -23/8, 
  143/144, 2, 2207/144, 1873/144, -7/2, 23/9, 7045/288, -3151/144, 
  -13663/192, 17/8, 67/24, -121/72, 1039/48, -7/2, -4561/96, 19/36, 7045/288, 
  517/32, -3151/144, 23/24, -4545/64, -703/32, 71/48, 13/4, 177/16, -1, 
  39/16, -125/16, 11/8, -199/32, -7/2, 3/2, -43/16, 55/8, 185/8, -109/8, 
  -219/8, -1/4, 63/4, -3, 417/32, -2, 787/32, 95/16, -297/16, -373/32, -3/4, 
  -187/8, 69/32, 1093/320, -7433/480, -193/64, -35/16, -2449/480, -617/240, 
  927/80, 7331/240, -13897/1920, 181/96, -3/16, 2989/480, 1153/120, 641/48, 
  -371/128, -1613/96, 25/12, -251/16, 0, -35/12, 115/16, 5/6, 507/80, 
  30053/1920, 593/160, -52279/5760, 663/32, 1143/128, -185/16, -4151/128, 
  253/16, 91/16, 5/2, -45/16, 27/8, -63/16, -103/16, -79/8, -9/2, -13/6, 
  63/16, -41/16, -7/16, -31/8, 43/16, 5/16, 27/16, 733/192, 71/18, 59/32, 
  27463/1152, -53/8, -32341/1152, -1/2, -480973/10368, -379/192, -91337/3456, 
  -253195/20736, 295417/6912, -1/4, -2845/288, 4385/648, 0, -32831/6912, 
  -5287/1296, -339301/6912, 87281/3456, 89671/20736, -217/192, -515747/6912, 
  -249271/20736, 311041/6912, -22889/864, -3295/288, 7735/1296, 31/72, 
  -495757/20736, -11519/6912, -15/8, 3727/2592, -339301/6912, -245/64, 
  72283/20736, -217/192, -301045/6912, -223891/20736, 316621/6912, -3427/108, 
  -3295/288, 33479/2592, 31/72, -1497901/20736, 6985/6912, 23479/1152, 
  -15875/2592, -524995/6912, 1/4, -1/4, 3, -2369/160, -3/2, 1919/160, -15/8, 
  25/4, 3/8, 2799/160, 7/8, 5/12, 15/8, 401/128, -4/3, 131/32, 13/24, 1, 
  -449/128, -73/10, -7/18, -37/4, -1111/128, 107/16, 75/128, -3/2, 21/8, 
  -153/16, 17/4, -31/8, 187/16, 5/4, 159/32, 329/32, -39/8, -287/32, 335/32, 
  -177/16, -87/16, -807/32, 239/16, -1/4, 17/4, 1/4, -25/8, 315/32, 7/4, 
  -245/32, -3/2, -53/4, 3/2, -53/4, -61/8, 3/4, 9/8, -19/4, -51/8, -1, -11/8, 
  -43/12, 1, -1/2, 1/2, 11/8, 3/2, -2, -11/8, 9/4, 35/8, 10, -10/3, 49/24, 
  -73/12, 7/3, 39/16, 39/16, -5, -47/16, -19/16, 29/16, -53/32, 9/32, -1/8, 
  41/16, 51/16, -9/8, 213/32, -15/4, -23/16, 13/2, -1, -45/4, -7, 1, 229/64, 
  212189/20736, -3/2, 291541/6912, -33149/20736, -308845/6912, 1595/128, 
  6305/288, -36517/1296, -5587/288, -9373/1152, -251/192, 4021/288, 1/64, 
  491/384, -23/288, 77/72, -965/192, -31/288, -1337/192, -229/72, 377/144, 
  7/32, -229/72, -55/12, 0, 0, -11/24, -11/24, 1/4, 0, 0, 0, -11/24, 0, 11/8, 
  127/12, -2589/256, -1/32, 2647/128, -5/32, -2577/256, 1045/384, 35/72, 
  1721/384, -131/36, -3/16, 3/16, 683/144, -1/4, 355/432, -1/24, 8237/768, 
  79/64, -10025/768, -305/144, -1453/144, -209/128, 437/144, 6727/768, 
  -45/32, 8543/256, 259/384, -17/16, 653/96, 1915/192, -281/96, -1379/192, 
  -3779/192, -1129/192, -811/96, 307/192, 107/6, 11/48, 170491/6912, 2119/48, 
  185/64, -10673/192, -132101/2304, 1, 247/24, -281/96, 1/4, -1805/96, -3/4, 
  -1105/96, 307/192, 1657/96, 11/48, 170095/6912, 2053/48, -35/6, -13181/192, 
  -141893/2304, 13/4, -19/8, -89/32, 0, 0, 1377/80, 0, 0, 0, 0, 0, -1993/96, 
  12271/384, 1153/720, -229/24, 0, 5/12, -12883/2880, 13771/384, -25/12, 
  -151217/5760, 5/8, -4/3, -6047/288, 6923/384, -1/9, 12883/2880, 901/384, 
  -79517/5760, -3737/96, 741/64, 20381/20736, -63/32, 263029/6912, 
  60487/20736, -308269/6912, 659/120, 125857/5760, -10489/1296, -80477/5760, 
  0, 0, 0, -15/8, 5783/640, 1/2, -6323/640, 0, 0, 0, -6403/640, 0, 1/4, 
  -39/32, -3/8, 0, 1/4, 17/16, -1/3, -31/24, 13/18, -439/54, 2/3, -1/24, 
  -1/4, 79/16, 129/16, -545/864, -487/432, 7/12, -55/32, -186443/2880, -1/3, 
  -123/32, -67/8, -241/216, 55/32, 0, 2453/144, -1143/64, 3/8, 7/8, 
  -2315/144, 7/8, 31/16, -37/24, -9/8, 0, 757/32, 229/192, 2363/144, 
  -2761/96, -5/3, -7/48, 2621/96, 0, -2453/144, 889/24, -93/8, -89/12, 
  -183/16, 49/8, -13205/288, -379/96, 2065/96, -27/32, -1801/96, 121/8, 0, 
  -6413/288, -27/8, -1/8, 225/32, -1/2, -39/4, -225/32, 5/8, 79/8, -1/8, 0, 
  -19/6, -9/32, -35/48, -125/24, -649/48, 0, 17/12, -421/48, 0, 31/8, 
  -177/16, 35/8, 159/16, -1/2, -173/16, 3/2, 9, -3/4, -9/16, 7/16, 0, 
  69551/5184, -55/288, 21/16, -142225/5184, 449/144, -31/16, 59503/2592, 5/8, 
  37/48, 731/576, 42065/5184, 527/576, -49549/2592, 37/48, 1415/576, 
  -26873/1728, -203795/5184, 277249/10368, -377/72, -359/192, 371285/10368, 
  143/576, 75811/2592, -1631/576, 107117/3456, 463/48, -97/144, 0, 0, 0, 0, 
  -177/16, -57/32, -55/16, 145/32, 49/16, -37/48, 73/48, -631/96, -37/48, 0, 
  0, 0, 0, 0, 1163/192, -39/32, -641/64, -1273/192, 0, 369/32, 0, -1/4, 1/8, 
  3/4, -1/8, -1/2, 1/2, -1/12, -21/32, 9833/864, -185/48, -7/6, 1/12, 
  115/288, 2/3, 0, 9/2, -9/8, -9/2, 9/8, -67/24, -9/2, -16669/1728, 67/24, 
  -5, 5, 5, 0, 149/32, -127/64, 1/2, -3/16, 103/16, -1/2, 39/32, 1/4, 
  -1123/432, 1/2, 5/12, 0, 0, 293/48, -7/15, 841/216, -407/36, 13/24, 
  28753/864, -3577/864, -1/6, -1109/96, -149/48, 23/9, 287/288, 13/4, -5/8, 
  7/32, 57/16, -71/32, 31/16, 299/24, 371/96, -65/4, -253/16, 41/16, 3, 
  41/16, 217/12, -951/32, -1745/48, 2501/96, -7/4, -247/16, 1997/48, 47/12, 
  -71/32, 457/96, 331/24, 2921/96, 62297/3840, -421/24, 167/96, -171/16, 
  -857/32, -85/4, -575/32, -1523/48, 131/12, 1291/48, 111/8, 7/12, 27/32, 
  3/4, -1/2, 323/64, 199/96, 29/16, 1037/192, -51/16, 19/12, -43/12, 5/12, 
  961/192, 175/48, 37/24, 1/3, -13/12, -559/32, -501/32, 161/192, 239/8, 
  -9/8, 1/3, 59/3, 17/96, -7/12, -47/48, 217/16, 7/8, -65/32, 0, 11/48, 
  -1309/192, 205/384, 1117/192, 0, -97/18, -575/64, 0, -1/4, 733/192, 7/24, 
  -276763/6912, -12323/192, 2165/96, 1/2, 7/4, 1223/16, 0, 285403/6912, 
  5603/96, 111821/2304, -4317/64, -163781/2304, 163/32, 3/4, -163/32, 59/48, 
  0, 219/32, -2, 0, 275/16, 117/4, -5/8, -557/32, -3/8, 2/3, -361/16, -81/16, 
  -1/4, -713/32, -1125/16, 665/32, 337/16, 657/16, 1/4, -25/32, 1, 23/192, 
  35/16, -9/4, -35/24, -3/8, 2/3, -1/12, 17/24, -151/24, -77/48, -2/3, 31/24, 
  -1/4, 1/4, 15/16, 191/12, 3665/192, -125/8, 1/3, 179/192, -2303/96, -17/24, 
  25/32, -13/8, -361/16, -11/4, 1/2, -703/108, -2813/432, -3/32, -1, 
  3485/432, -11605/864, -21/8, 77/216, 2, -7/6, 1447/48, 149/48, -1919/432, 
  4559/432, 427/216, 2/3, -49/24, 197/144, 0, -139/216, -3043/216, -15/8, 
  -913/432, 67/4, -25/8, 167/432, -18295/864, 629/864, 3193/144, -371/96, 
  -49/8, -13/8, 3305/288, 4, -1/2, 461/128, 355/192, 11/16, -889/384, -47/64, 
  3/16, -7/12, 0, 19/48, -4181/576, 1021/64, -85/192, -11/24, -23/16, -1/24, 
  143005/13824, 5061/128, -57/16, -47813/13824, -23/2, -139/192, -677/48, 
  -55/96, -1711/192, -1/12, -153685/6912, 269/32, 337/96, -35/24, -165/16, 
  -13/6, 257/64, -5/32, 127/24, 5/192, -3/2, -1/2, 247/64, 7/32, 49/48, 5/8, 
  17/16, 31/16, 1/24, -1453/192, 5/48, 13/6, -1187/64, -325/32, -33/8, 
  919/96, 15/8, -497/240, 15161/288, -54559/4320, -40861/1728, 503/32, 
  325/32, -267/32, -6499/144, 37/16, 0, -77/6, 1025/48, 2, 275/9, 5/16, 
  -15/8, -33/8, -3/8, 0, 15/8, -67/96, -271/96, 277/48, 367/96, 1/3, 35/48, 
  -461/96, -1/3, 787/48, -2005/48, -9/2, -6, 17/32, -13/8, 10927/144, 
  2419/96, -541/32, -49/2, 2875/96, 5, -25/8, 3263/288, 3/4, -57/16, 63/32, 
  1138031/960, -1/8, -601/192, 96049/192, -23/16, -687087/640, -11717/64, 
  -19007/480, 183883/384, -840167/1920, -647761/1920, -2887171/1920, 
  749509/1920, -31/3, 7/8, 425/48, -7/8, -31/72, -163/144, 95/144, -4303/96, 
  1425/64, -245/32, 17347/32, -91/48, -8719/16, 107/144, 799/288, 736061/480, 
  355/12, -155563/120, -7/16, -719671/480, -755/96, 13805/192, 11/8, 
  -25307/48, -497/96, 100867/192, -243537/160, -269/96, 411783/320, 
  240217/160, 251/96, 373/16, 7595/192, -3187/192, -1573/48, 6, -39/8, 
  -169/32, -17429/32, 135/32, 4353/8, -2, -29059/20, 1787/96, 37/32, 
  601307/480, -43/16, 43/16, 693701/480, -87/32, -9/16, -41/16, 47/96, 93/8, 
  4231/8, 343/32, -17163/32, 28859/20, -229/24, -610387/480, -340303/240, 
  869/48, -781/32, -1161/32, -583/48, 449/16, 1/16, 89/32, -949/160, -237/32, 
  -871/40, -47/32, -17163/32, 41/8, 8731/16, 13/24, -413/384, 641/120, 
  -57413/40, 2623/60, 616177/480, -379/96, -1/24, 229847/160, 113/48, 0, 
  -1031/960, 9/2, -751/96, 359/32, 495/32, -29/16, -4879/480, -67/48, 637/48, 
  43/16, -1/2, -415/16, -629/48, -5, -1/2, -55205/5184, -569/288, 31/16, 
  36971/5184, -107/144, -23/16, -1397/576, -5/48, -961/288, -48995/5184, 
  -119/48, -401/288, -37/48, -991/288, -6613/3888, 103297/5184, 65/24, 
  -297899/6912, -12145/3456, 739/192, -587639/31104, -235/288, -8089/432, 
  1091/288, -1424837/20736, -655/96, -937/96, 48289/1728, 187/16, 3/4, 
  -267/32, -21/8, 131/32, 15/8, 1/2, 2807/480, 19/16, -43/16, 361/48, -23/16, 
  5/48, -49/24, -595/96, 37/48, -1, -15/32, 17/16, 15/8, -9/8, -31/8, 
  -1607/480, -2821/384, -35/6, -2589/640, -1909/96, 303/32, 467/32, 1823/96, 
  -41/16, -3/2, 9/4, -21/32, 2, -1, 155/32, 5/8, 71/8, -13/8, 3, 11/12, 
  829/96, 239/48, -659/96, -5/6, -5/12, -1217/96, -2/3, 21/4, 97/16, -53/4, 
  -225/32, 63/8, -247/48, -31/16, 89/16, -71/48, -25/4, 7/4, 35/8, 9/8, 
  -263/192, -29/24, -1/4, -85/64, -3/8, 39/32, -257/96, -337/192, -1/8, 
  -27643/6912, -737/32, -97/96, 2091/64, 58997/2304, 3/2, 309/64, -39/32, 
  -11/16, -437/192, -41/24, -39/16, -385/32, 17/8, -107/48, -149/64, 
  -10663/1152, 107/48, 6769/384, 101/48, 161/576, 6683/768, -173/48, 
  38917/1728, 799/16, -2561/192, -1337/384, 247/288, -4825/96, 3827/576, 
  -29/24, -9, -133349/2304, 511/144, 10, 0, 0, 0, 0, 0, -1/2, -547/960, -3/8, 
  -73/16, 1057/960, 81/16, -5/48, 23/16, 1491/320, -37/48, 0, 0, -1/2, 1/4, 
  1, 17197/960, -11375/384, -79601/5760, 30439/2880, 0, 9, -9/4, -59/16, -10, 
  0, -29/20, 0, 0, 2929/80, 0, -383/30, 0, 0, -1/2, 0, 1, 0, 0, 0, 0, 0, 0, 
  0, -179/12, -623/60, 0, 0, 0, 167/72, 353/20, -135141/320, 19/2, -4541/640, 
  -9/2, 7/2, -6461/640, 0, 185/32, 9/8, 0, 0, 0, 0, 0, -25/6, 0, 17/16, 0, 0, 
  0, 0, 0, 0, 0, -169/9, -193/8, -1/2, 27/8, -5/2, 9/2, -1/2, 3/2, 0, 
  -40025/32, 15/8, -27/8, 15/16, 1/2, 0, 0, -15/16, -3113/60, -29/20, 
  -1079/20, 571/10, 18267/160, 4415/32, 427/60, -3322/45, 0, 0, 3, 0, 0, 0, 
  0, 0, 3, 0, -90421/2592, 9/32, 0, 0, 0, 0, 0, -9479/180, 19/30, -9299/180, 
  -163/4, -231/5, 121/24, 1/8, 3503/60, 3533/60, 2929/80, 0, 7571/180, 0, 
  -1651/30, -293/60, -12823/96, 0, 0, 0, 11/12, 0, 55/36, 0, -2, -1/2, -3, 
  3/2, 0, 0, 3, 0, 0, 85/6, 0, 0, -1/2, -90421/2592, -90421/2592, 0, 9/32, 0, 
  0, 191/64, 0, -1/2, 1/2, 173/144, -15/16, 329/24, 0, -1/2, -3521/90, 
  573/320, 0, 0, 0, 0, 4409/2240, -1089167/2240, -585/32, 1/3, 1/8, 0, 
  1333/96, 0, 0, -41/8, -1/3, 0, 7/6, 167/48, 0, -1579/48, 0, 0, 17/8, 
  -707/12, -13/4, -4083/320, 14087/180, 4211/90, 4163/90, -599/960, 
  -1453/320, -1059/160, -3, 3, 7/8, -1981/40, 2149/36, 17/9, 355/6, 237/4, 
  14403/320, -5/24, -25/8, -1673/36, -1349/36, -119/5, 0, 0, -779/12, 0, 
  -3161/160, 3, 583/9, 149/12, 7441/360, 4928569/192, -9719193/1600, 
  -4138453/3200, 112071/2240, 2607/80, 3167/320, 1225807/2240, -19111/640, 
  69/4, -305/32, 47301/640, -10349531/3200, -12038999/1200, 24032879/4800, 
  -23807879/2400, -3048351/640, 100/3, 65/4, -177/4, -97/4, -17501/640, 35/2, 
  0, -38, -11, -9/4, 3483/80, -20747/480, 8909/960, -21891/320, -7127/1920, 
  281/24, 127675/10368, 24589/10368, -1/16, 17/64, -1/6, -25/6, -713/96, 
  863/48, 767/48, 743/192, -449/64, 9/2, 23/8, -57/16, 0, -15/16, 41/8, 
  17/16, 13/6, 25/12, 61/24, 31/6, -1, 61/24, 0, -777/16, -1957/96, -2179/96, 
  0, 0, 7/8, 207/32, -8497/384, -4835/384, -1511/192, -397/64, 41/16, 17/8, 
  0, -19/16, 5/48, -25/16, -1/16, -17/8, 7/2, 0, 1/36, -507949/10368, 
  -121201/2880, 0, 3, 155/9, 338/9, 575851/17280, -137/9, 209779/3456, 
  157939/3456, 4, 0, -2, -507949/10368, 0, 0, -121201/2880, 0, -547/36, 
  -338/9, 24481/180, -4, 507949/10368, -507949/10368, 497581/10368, 
  414637/10368, 518317/10368, 0, 0, 0, 121201/2880, 0, 0, -146/9, 64/9, 
  -6409/72, 265/18, -6445/72, 14557/360, 151/8, -10739/288, 20809/576, 
  -2639/576, 13, 11/2, 2, -6923/72, -2157/64, -75/16, 54659/576, 53023/576, 
  503/24, 137/9, 262387/3456, 324595/3456, 257203/3456, 284851/3456, 5, 0, 
  5/4, 0, -2, -25111/180, 0, -25201/180, 0, -17/4, -378681/8, -1977/80, 
  1199/20, -27289739/1792, -599587193/8960, -905027/400, -4218031723/44800, 
  1670563/1792, -2903419/160, 7727487/160, 605563/160, 329/8, -89659/1120, 
  -67659/1120, -441/16, -15/8, 27/8, 1303/48, 747/16, -341/8, 3013/336, 
  117283/2240, -107543/2240, 517/24, -737/16, -341/60, 0, 0, 0, 0, -101/144, 
  323/12, -1/2, 1/2, 1/2, 101/144, -15/16, -1247/48, 0, 0, -1/2, 0, -5/2, 
  1/2, 0, 0, 0, -1, 101/144, -317/12, -173/144, 15/16, -68479/1728, 
  -18437/720, 117109/720, -1526/135, 39883/540, 1199/48, -167/16, -7/4, 3/8, 
  8/3, -487/12, -10141/360, 1/2, 67, 395/24, -5/12, -4829/120, 331249/960, 
  -28973/2880, 0, 0, 469/144, -2185/288, -439/576, 55/16, 2387/120, 0, 0, 
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  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 
  -1/4, -1/4, -1/2, 0, 0, 1/4, 1, 1, 0, -1/9, -1/4, 0, 47/36, -37/24, -5/12, 
  -1/2, 5/2, 31/24, -5/2, 7/12, -2, 3, 1/9, 0, 0, -1/4, 47/36, 0, -11/12, 
  -11/12, -1/2, -21/8, 17/12, -3/2, 0, 0, 0, 5/3, -5/3, 0, 0, -13/3, -1, 0, 
  8/3, 0, 0, 0, 0, -5/12, 17/12, 17/12, 0, 17/12, 8/3, 5/3, 13/6, 0, 1/2, 0, 
  -5/6, 4/3, 13/6, 7/12, -25/12, 0, 4/3, 1/2, -1/3, -1/6, 4/3, 0, 0, -1/2, 0, 
  0, 0, 0, 1/4, 3/4, 3/2, 0, -2, 5/8, -5/4, 1/4, -5/8, 1, 2, 0, 1/2, 1/2, 
  -3/2, -1/2, 1/8, -1/2, -1/8, 1/4, -1/6, -3/8, 5/8, -1/6, 3/4, -3/2, 5/6, 
  -25/8, -5/8, -13/12, -3/4, 5/4, -4/3, 0, 0, 1/6, -5/8, -1/2, -3/2, 0, -4/3, 
  -5/6, 1, 1/6, 9/8, 0, -7/24, 0, 0, 7/8, 8, 0, -1/4, 0, -5/6, 73/24, -83/24, 
  5/4, 13/6, -17/8, -5/12, -4/3, -17/12, 0, 31/6, -91/24, -13/8, -31/3, 
  109/24, 31/6, 5/4, -1/2, -3/2, -1/4, 31/48, -1/2, -5/6, 41/24, -19/16, 
  59/24, -1, -9/8, 7/48, -55/48, 4/3, 23/16, 37/24, 17/48, 0, 0, 119/48, 
  -1/4, 17/12, 1/16, 2, 0, -119/48, -43/24, 0, -3/8, 0, -1/2, 1/2, 3/8, 0, 
  1/8, 3/16, -1/4, -1/2, -3/16, 1/8, 3/8, 1/8, 0, -1/48, -3/16, 1/8, -5/48, 
  0, 0, -5/48, 1/8, 0, 13/4, 13/16, 0, -27/8, -19/16, -1/8, -7, -37/16, 15/4, 
  15/4, 3/8, -3/2, -1/2, -1/2, -1/8, -17/24, 5/16, 17/24, -5/16, 0, 0, 
  -13/48, -3/16, 0, -11/48, -1/8, 0, -5/48, 1/8, 0, 53/24, -95/48, 1/8, 
  -10/3, 15/16, 1, -41/6, -51/16, 53/12, 33/8, -7/12, -15/4, -7/8, 1/12, 0, 
  -29/72, -11/24, 11/24, -1/18, 11/12, -11/24, -11/24, 0, 1/18, 0, 0, 0, 
  -1/8, -1/8, -1/4, -1/18, -29/18, 7/9, 635/144, 65/48, 115/72, 19/9, -19/4, 
  -61/24, 29/24, 59/48, -113/48, -25/12, 3/8, -1, -115/72, 7/9, 73/24, 
  169/48, -15/8, 95/36, 19/9, -87/16, -61/24, -61/24, 173/144, 53/48, -37/48, 
  7/48, -11/24, 29/72, 11/24, 11/24, 0, 0, 0, -1/18, 0, 0, 0, 0, -1/4, 1/8, 
  -5/8, -21/8, -3/8, 281/48, -13/24, -119/48, 34/9, -1/4, -35/48, -11/72, 
  -43/16, -1/8, 3, 59/16, 1, 1/24, 0, -11/16, -19/24, -23/12, 1/9, 55/72, 
  11/24, 1/2, -11/48, 23/24, 0, 0, 17/24, -3/8, 1/3, -53/24, 3/8, -7/12, 3/2, 
  1/4, -5/6, -23/12, 3/8, 11/2, 65/24, -19/4, 13/6, 29/24, -19/3, -4/3, 
  -23/24, -1/2, 107/24, 1/2, -7/2, 29/12, 1/2, -119/24, -35/24, 1/8, -1/8, 
  -1/8, 0, -17/24, 3/8, 0, -41/48, 59/24, -13/24, 39/16, 1/2, 5/6, 29/24, 
  29/16, -119/48, -223/48, -4/3, -37/16, 0, 23/12, 1/2, 0, -35/24, -5/6, 
  -1/8, 23/24, 5/6, 17/24, -5/3, -15/4, 19/48, 23/24, 71/24, -3/16, -1/4, -3, 
  -41/24, 5/6, 115/16, 17/16, -41/48, 7/2, 1/2, -47/16, -4/3, -25/24, 3/8, 
  5/6, 1/2, -7/4, 7/4, -4/3, 8/3, -17/24, 0, 23/8, -1/8, -5/6, -1/8, 5/6, 
  1/8, 1, -1/4, 13/6, 1/2, -1, -4/3, 1/4, -17/24, 3/8, -1/4, 3/2, 1/4, 11/12, 
  7/12, -17/8, -5/6, 35/24, 1/2, -2, -5/4, -1/8, 0, -17/24, 3/8, -1/2, 53/24, 
  -3/8, 3/4, -3/2, -1/4, 5/6, 29/24, -49/8, -5/6, -5/8, 5, 1/2, -4/3, 5/12, 
  83/24, -23/8, -2/3, 23/24, 1/2, -83/24, -1/2, 5/2, -35/24, 59/24, -35/8, 
  -5/3, -1/8, 1/8, -1/2, 5/6, -15/16, -1/4, -5/6, 9/16, 1/4, -19/16, 13/16, 
  11/48, 17/48, 3/16, -5/12, 59/48, -9/16, 29/48, -2/3, -5/12, 1/16, 3/16, 
  25/12, -13/16, 3/16, -181/48, 7/8, 17/16, -1/6, 17/24, -5/6, 35/24, -1/4, 
  59/24, -29/12, -9/8, 4/3, 4/3, 1/8, 37/24, 0, 5/12, -25/24, -31/24, 3/16, 
  -25/12, 11/6, 3/8, 95/48, -13/8, -9/16, -2/3, 2/3, 5/6, -103/48, 31/12, 
  -5/12, -4/3, 3, 2/3, 1/2, 65/48, 1/4, -29/48, -21/16, 1/2, -1, -77/48, 
  29/12, 1/2, -3/16, -1/16, 1/4, 0, 0, 1/16, 17/16, -43/48, -49/16, -17/16, 
  125/24, 99/32, -141/32, 0, -1/8, 0, 33/16, 9/8, 3/16, -209/48, 65/16, 0, 
  -47/48, 5/16, 0, -5/12, 43/48, -5/16, 19/12, -61/48, 5/16, -23/12, 3/8, 
  3/4, 2/3, -29/48, -5/12, -19/48, 17/48, 59/48, -31/48, -9/16, 0, 2/3, 
  -11/48, 37/48, 0, 5/12, 49/48, 47/48, -3/16, -3/8, -79/48, -1, -41/48, 0, 
  9/16, -3/2, -95/48, -29/48, 71/24, 175/48, -17/6, 7/4, 35/24, -37/12, -2/3, 
  -29/12, -49/24, -1/4, -19/48, 1/16, -1/2, 13/3, 113/48, -5/12, -23/12, 
  -5/16, 1/16, -1/4, 9/16, 0, -47/72, 29/72, -1/3, 121/48, -11/72, 47/48, 
  -55/48, -9/16, 5/6, 83/72, -167/48, 2/9, 2, -4/3, -3/16, 1/12, 137/144, 
  -5/8, 7/48, 1/2, -37/48, 1/36, -13/6, 3/16, -1/6, 1/4, 11/48, 1/24, -17/48, 
  3/16, -25/48, 3/4, 17/48, -5/6, -1/12, 17/48, 395/144, -47/24, -65/48, 4/3, 
  -11/24, 181/144, 0, -1/24, 23/48, 1/4, -11/48, -5/4, -31/48, -65/48, 19/6, 
  19/16, 0, -1/16, 3/16, 0, -17/48, 3/16, -1/6, 53/48, -3/16, 7/24, -3/4, 
  -1/8, 5/12, 29/48, -5/6, -139/48, 17/48, 43/48, 63/16, 1/16, -2/3, 31/12, 
  91/48, -51/16, -2, 0, -11/48, 5/8, -1/2, -35/48, -1/4, 1/4, 7/4, 5/6, 
  19/16, -3/8, -31/12, 9/16, -3/16, -13/6, -29/24, 25/6, 4/3, 23/24, 7/16, 
  -5/2, 1/16, -29/12, -1/2, 163/48, 35/24, -1/8, 1/8, 0, -2, 0, 0, 0, 0, 0, 
  7/2, 1, 3/2, 0, 0, -3/2, 0, 0, -5/2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 
  -3/2, 0, 7/2, 0, -3/2, 0, 0, 0, 1, 5, -5/2, 5, 0, 0, 0, 1, 0, 0, 0, 0, -1, 
  0, 0, -2, -1, -16, 0, 0, 0, 0, 0, 0, 0, 1, 2/3, 0, 0, -2/3, 1, 0, -2, 0, 
  1/2, 0, 0, 1/2, -1/8, 0, 0, 1, -7/2, -5/2, 1/2, 0, 0, 11/3, 5/3, 0, 0, 0, 
  -11/3, -5/2, 8/3, 4/3, 5/3, 1/3, 0, 4/3, 0, -1/3, 0, 0, 0, 2/3, 0, 1/2, 2, 
  0, 0, 0, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 7/4, 0, 0, 4, 0, -1/24, 3/4, -7/12, 
  8/3, -23/24, 0, 1/12, 8/3, 0, -5/8, 5/2, 5/2, -1/4, 0, 0, -13/6, -2/3, 0, 
  -137/24, 7/8, 13/6, 0, 13/12, -79/12, 0, 0, 3/4, 5/6, -1/2, 0, 5/3, -3/4, 
  0, 1/2, 0, -3/4, -16/3, -4/3, 0, 0, 0, 0, 0, 0, 0, -1/3, 0, 1, 0, -4/3, 0, 
  0, 0, -1, -1, 1/3, 2, 22/3, -1, -5/6, 0, 0, -4/3, 0, 0, 8/3, 0, -10/3, 0, 
  0, 4/3, 0, 9/8, -9/4, -3/4, -5/12, 27/8, 7/8, 3/2, -3/4, -3, 27/8, -23/6, 
  8, -1, -1, -5/6, 0, 0, 0, 0, 0, 0, 0, 2/3, 0, 0, -1/6, -7/6, -5/3, 7/6, 
  -7/6, -2/3, 1, -31/6, 0, 0, 1/18, 0, -10/9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -5/6, 13/12, 27/4, 15/4, -19/3, 5/4, -5/4, -15/4, -5, 1, 
  -1/2, 1/2, -1/6, 0, 0, -1/4, 0, 0, 45/2, 0, 61/2, 8, 1/2, 0, 0, -1/2, 0, 
  -93/4, -35/4, 0, 3/4, 1/2, -4, 0, -2, 0, 0, -6, 27/2, -1/4, -22/3, 15/2, 0, 
  -11, -3/2, -15/2, 13/2, 15/2, 0, -23/12, 0, 3, -1/4, -3/4, 11/2, 0, -21/2, 
  -9/4, -3, 5/3, 13, 0, 13/12, -13/36, 17/12, -1/6, 7/36, 2/3, -4/3, -1/12, 
  1, -1/2, -2/3, 2/3, 2/3, 0, 1, -2/3, 3/2, -1/2, 0, -1, 0, -2/3, 0, 4/3, 
  -7/16, 0, 7/8, 0, 5/12, 0, 1/8, 5/12, 1/8, 0, 0, -1/4, 0, -1/2, 115/4, 0, 
  1, 0, 1, -53/4, -3/4, 7/4, 3/2, -29/6, 4/3, -77/24, 167/48, -5/12, 0, 15/4, 
  4/3, 257/96, 53/32, 0, 0, -10/3, 29/16, -259/96, 0, -7/48, 5/6, -49/96, 
  37/32, -7/2, 17/8, 4/3, -35/16, 5/96, 23/48, 15/16, 5/6, 3/4, -3/4, -59/24, 
  11/8, -7/2, 5/6, 11/96, 4/3, 37/24, 7/2, -5/2, 311/96, 133/48, 0, -2/3, 0, 
  25/24, 0, -1/18, 2/3, 0, -25/24, 0, -67/72, 0, 0, 29/24, 1/4, -5/6, -29/32, 
  5/24, -19/12, -25/16, 97/48, 3/8, 0, -17/32, 0, 31/32, 7/4, 5/8, -5/24, 0, 
  -25/32, -35/16, -15/8, 17/16, -5/2, 131/24, -101/24, 8/3, -4/3, 1/16, 0, 
  -125/96, -77/24, 11/12, 1, 0, -19/24, 0, -5/24, 149/96, 133/96, 0, 109/96, 
  175/96, 0, -1/6, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/3, 0, 0, 0, 0, 1/2, -3/4, 0, 
  11/6, 1/2, 4, 1/3, -5/6, -1/2, -1, -1/2, -5/3, -2, -1/4, -1/4, -2, -3/4, 
  -7/12, -19/16, 1/4, 7/4, 5/4, -131/72, -1/4, -11/24, -2, -1/4, 845/72, -2, 
  -13/8, -7/12, 5/16, 73/16, 37/24, -49/16, 1/4, -1/4, -3/4, -121/24, 13/3, 
  27/4, -125/72, 3/4, 125/24, -2, -41/12, 5/2, -4/3, -8/3, 0, 109/16, 61/8, 
  -35/4, 0, -21/16, 65/4, 1/2, -49/6, -3/4, 147/16, 0, -71/24, -3/8, 51/16, 
  0, 0, -169/48, 1/2, 0, 151/16, 0, -77/24, -3/8, -3/2, 139/48, 295/48, 3/2, 
  1/4, 0, -13/48, -91/48, -3/4, -13/4, 147/16, -211/48, 2, 157/24, -35/12, 0, 
  0, 0, -13/36, -25/6, 1/6, 0, 0, 0, -4/3, 1/3, 79/36, 4, 41/3, 0, 2, -1/18, 
  0, -1/4, -13/3, -23/36, 1/4, 16/3, 3/4, -11/36, 37/12, -7/9, -10/3, -37/24, 
  -137/72, -23/36, 7/4, -13/6, 31/24, 29/4, -13/144, -67/48, 1/8, -511/72, 
  -7/8, -599/36, -211/216, -1057/432, 149/144, -1663/2160, -77/108, 949/432, 
  -7/72, -88/27, 23/72, 185/144, -57/80, 487/720, -193/2160, -841/2160, 
  743/72, -1/4, -1, -5/4, -1/18, 0, 149/144, -17/80, 59/48, -179/240, 
  -353/144, -9/8, 253/48, 2713/720, 239/72, -17/3, -29/3, 0, -41/3, 0, 0, 
  10/3, -23/12, -37/12, 89/12, -19/4, 5/3, -26/3, -5/2, -83/6, 16/3, 0, 0, 0, 
  0, -7, 15/4, 17/4, 23/4, 59/12, 17/3, 17, 13/2, 3/2, -10, 0, 0, 0, 0, 0, 
  -1/6, 5/24, -143/36, -19/18, -5/36, 391/72, 8/9, -5/18, 487/144, -4/3, 
  -565/432, 3/2, -125/72, -677/72, 263/72, 419/144, 187/36, -17/12, -419/96, 
  -6191/864, 19/96, -793/144, 13/6, 7733/864, 277/72, 13/6, 131/18, -17/12, 
  -29/288, -9359/864, -259/96, -1709/144, 13/6, 8069/864, 277/72, 9/2, 
  -121/36, -5/4, -107/18, 199/144, 1/9, -7/4, 0, -5/18, 0, -1, -833/216, 
  -1/108, 59/72, 23/12, 98/27, 13/18, 0, -1, -121/72, -3059/1080, 71/24, 
  2249/1080, -85/36, -1, 3/2, -1, 5/6, 23/24, -3/4, 0, 1, -1, -13/6, -29/12, 
  17/18, 71/24, 8/3, 4/3, -5/6, -4/3, -1/2, 13/6, 41/24, -4/3, -1/8, 1/8, 
  -1/8, 1/12, -1, 13/2, 3/4, -9/4, 17/3, -21/4, 9/2, -41/12, -5/2, -5/6, 7/2, 
  5/2, 5, 9/2, -49/12, 19/12, -5/2, -17/4, -5/6, 1, -27/4, 0, -20/3, -11/4, 
  5/2, -7/2, -10, 31/12, 5/2, -1/4, 0, 5/2, 3/4, -5/8, -5/12, 2, 3/8, 5/6, 
  -11/4, -3/8, -1/6, 7/12, -1/4, 13/12, 161/24, 95/24, 9/8, -191/24, -89/24, 
  -2/3, -65/24, 79/24, 0, -23/12, 17/8, 17/12, -17/8, 1/4, 11/6, -1/8, 97/12, 
  1/12, -1, 1, 1, -5/4, 389/432, 7/9, -115/288, 1591/864, -5/72, 559/96, 
  7/48, -25/8, 89/48, -911/432, 1901/864, -17/54, -101/24, -17/48, -761/432, 
  83/48, 107/48, -1/2, -277/144, -337/432, 55/48, -65/144, -1/6, 0, 7/4, 0, 
  -1/4, 751/432, 1811/720, -1/8, -143/216, -653/360, 1/12, -89/48, -205/144, 
  161/216, 307/432, 1/4, 0, -11/24, 0, -11/48, 1/2, 0, 0, 17/24, -3/8, 7/12, 
  -53/24, 3/8, -5/6, 3/2, 1/4, -5/6, -23/12, 3/8, 13/6, 29/24, -4/3, -23/24, 
  -1/2, 71/24, 1/2, -2, 29/12, 1/2, -35/24, 1/8, -1/8, -1/8, 1/12, -2, -3/2, 
  5/3, -59/12, 5/2, -2/9, 11/8, -13/6, 19/6, 1/3, 17/6, 0, -5/6, 61/24, -2, 
  13/6, -8/3, -4/3, -1/8, -3/2, -1/8, 1/4, -5/6, 5/8, 67/8, -33/8, 27/8, 
  -67/8, -2, 49/12, -65/16, -123/8, 13/6, -15/2, -17/6, 11/12, 73/4, 259/24, 
  1/3, 31/4, -139/12, -8/3, -11/6, -61/6, -3/4, 3/2, 11, 99/4, 179/24, 73/6, 
  -127/6, -161/24, 19/6, 9/4, -16, -5/4, 3/2, -5/6, 7/8, 19/16, 5/6, -35/32, 
  5/8, -59/24, 13/8, 9/8, 15/8, -19/24, -11/12, -383/192, -359/96, -11/8, 
  -2/3, -1/4, -51/16, -5/4, -443/96, -283/96, -1, 11/12, -229/64, 649/96, 
  2/3, 83/24, -27/8, 3/2, -77/24, 1, 0, 29/72, -7/12, -1163/216, 865/144, 
  -1733/288, 2545/288, 407/96, 593/144, -59/18, -1955/288, -551/144, 391/432, 
  1339/240, 7/16, 875/432, -1897/720, -151/144, -13/12, -34/9, 293/2160, 
  -29/72, 221/216, 0, -5/12, 73/96, -3/8, -5/12, 113/64, -241/192, 17/16, 
  -25/8, -19/16, -3/8, -29/24, -35/24, -25/64, 179/24, 4/3, 37/12, 5/12, 
  -233/96, -1/2, -97/192, -151/96, 3/2, 3/8, 145/96, 265/64, 11/24, 23/12, 
  9/8, 177/64, -35/12, -1/4, -5/6, -5/16, 15/8, -13/8, 29/24, -3, -5/4, 13/6, 
  -11/48, 7/24, 39/8, 79/24, -4/3, 1/24, -13/6, 0, -4/3, 1, 139/24, 19/8, 
  13/8, 11/3, -10/3, -163/24, -13/6, -1/4, 25/16, 1/2, 7/16, 1/4, 3/2, 
  -95/432, -185/144, -1067/288, -5335/864, 11/12, 149/96, 4, 7/72, 55/48, 
  1489/864, -3/4, -4, -77/36, -1/6, -17/16, -1109/144, -35/48, -289/144, 
  133/16, 65/24, -1, 101/48, 91/48, -11/16, -65/18, -43/48, -5/16, 565/72, 
  85/48, -289/144, 833/432, 1553/240, 95/48, -1367/432, -3379/720, 19/24, 
  -113/48, -299/144, 719/432, -73/432, 65/18, -83/48, 17/16, -443/72, 27/16, 
  119/48, 149/48, 15/16, -3, -13/8, 0, -27/32, -37/96, 3/8, 19/6, -31/24, 
  67/12, -7/8, 35/8, 5/4, 25/12, 223/48, -41/24, -79/12, -97/12, -97/24, 
  -65/12, -7/4, 53/12, 10/3, 679/96, 415/96, 1, -23/24, 49/24, 9/8, -371/96, 
  805/96, -155/24, -109/24, -73/48, -1/4, -41/8, 4/3, 5/16, 0, 29/24, 257/48, 
  -369/32, 0, 19/24, -29/12, 0, -1/4, 0, -1/72, -77/36, 0, 5/36, 0, -19/72, 
  -73/9, 0, -53/72, 0, 0, -1/4, 113/48, -109/48, 0, -23/12, 19/24, 0, 29/12, 
  0, 5/2, -851/432, -7/8, -1613/288, -1381/864, 1/6, 209/96, 49/72, -1/8, 
  -265/48, 527/432, 5653/864, 5/216, -85/72, 145/48, -149/216, 103/72, 
  311/36, 185/48, 235/144, -431/72, -97/54, 11/24, -191/48, 5/24, -7/8, 
  607/216, -499/360, -625/216, 539/360, 7/36, -571/432, -199/144, 43/36, 
  -281/432, -335/216, 61/48, 19/16, 95/432, -361/1080, -307/432, -389/144, 
  8521/1440, -49/16, 193/16, -1555/288, -233/48, 2375/288, -2393/720, 35/32, 
  -173/72, 1255/144, -569/48, 41/8, -175/72, 25/8, 0, 9/8, -11/12, -11/2, 
  49/12, 7/3, 173/24, 35/24, -17/8, 5/3, 19/24, -19/12, 173/24, -1/8, 14/3, 
  -13/3, -41/12, -53/24, 8/3, 43/24, 10/3, -19/8, -13/4, -1/2, -5/4, -21/4, 
  59/8, -13/24, 27/8, 35/8, -29/8, -2/3, 595/432, 5/18, 1691/288, -1277/864, 
  -71/72, -1987/288, -319/108, 41/48, -133/72, -751/144, -611/96, 643/72, 
  803/216, 101/36, 11/12, 113/288, -763/96, 3/4, -509/288, 2189/288, 20/3, 
  143/96, 29/8, -3131/288, -137/144, 1429/288, 1, -623/96, -199/36, -1/4, 
  8/27, 0, -37/216, 0, -1/8, 247/432, -917/3240, -17/24, -329/108, 
  -10091/6480, 209/144, -73/16, -511/144, 9121/3240, 2089/432, -11/27, 19/12, 
  -3/4, 53/24, -19/6, -35/48, -25/12, -1, 11/2, 1/4, 1, 1, 0, 9/16, 0, 1, 
  -3/2, 8, 0, 0, 0, 0, 0, -1, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -1/2, 
  1/4, 16, -1, -1, 18, 0, 29/6, -7/2, -4/3, 15/2, 9/2, 0, -27/16, 0, 0, 0, 
  -23, -9/2, -155/16, 7/16, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -3/2, 0, 0, 0, 0, 
  0, 0, -4, 24, 0, 11, 8, 0, -4, 0, 0, 6, -43/24, -611/24, 28/3, 31/3, 0, 
  -49/12, 363/8, 589/24, 0, 25/3, 0, 0, -5/4, 43/8, -1/8, -1, 27, -24, 33/8, 
  21/2, -39/2, -2, -15/2, 33/8, 0, 1/2, -1/2, -5, 839/8, -1/3, -851/8, 0, 
  -1/2, 1/6, 7, -1/2, 0, -7, 243/8, 219/8, -697/24, 0, 8951/360, -28/3, 
  1481/216, 0, 2, -2/3, 11, -877/45, -11, 110687/1440, 74903/1440, 2151/40, 
  4153/360, -7013/120, -48103/720, -9649/432, -91/18, 877/90, 9/2, 
  -62699/720, -2575/144, 0, -35/12, 1/6, 5/2, 5/6, 0, 0, -32/3, 0, 0, -20/3, 
  0, 0, 1/4, -71/12, 23/3, -5/12, 5/2, 0, 0, -3/2, -107/16, 59/16, 0, 545/24, 
  617/24, 25/6, -533/24, -1/2, 1/2, 4, -457/24, 31/8, 5/2, 35/4, -1/2, -1/2, 
  19/2, -13/4, 3/2, -45/4, 1, -703/96, 1411/24, 1829/96, -197/144, 41/144, 
  3/4, 0, 0, -1, -1/36, 29/18, 1/12, 2/3, 286/9, -401/96, 0, 2097/256, 
  257/128, 0, 967/256, -8, -327/256, 43/96, -447/128, 95/256, 617/32, 
  -1049/96, -17281/96, -33/8, 787/96, 4/3, -65/4, -209/12, 5/2, -5/6, 287/48, 
  3763/48, -305/48, 319/12, 679/48, 1213/32, -43, 0, 5749/384, -9251/768, 0, 
  -3493/768, 9227/384, 437/96, -6299/256, -28/3, 4179/256, -1/6, -89/48, 
  57/16, 0, 0, 1, -1/6, -163/24, 1/8, 1/2, 0, 0, 0, 1/3, 0, 9/4, 1/2, 0, 0, 
  1/2, 0, -23/12, -1/2, 3, 0, 0, 0, -4/3, 0, 0, 0, -8/3, 0, 11, -11, 
  -2209/18, 61/4, 1535/18, 607/12, -1615/36, 61/8, 941/36, 409/12, -349/48, 
  -1685/72, 61/16, 385/24, 1483/48, -1229/48, -1469/72, 293/16, 275/24, 
  657/16, 0, 0, 7/2, -7, 1/2, 9/4, -1595/48, -163/8, -85/12, -977/16, 
  -1451/48, 591/16, 377/12, -6431/48, 331/15, -37/30, -976/15, -1201/72, 
  409/60, -65/8, -257/30, -3104/45, 13/6, 11/24, -3, 7/48, 41/48, 95/8, 
  -15/2, -19/32, -37/12, 4/3, 107/8, 8, -203/48, -35/16, 19/8, 7/12, 
  14503/1728, -167/144, -353/144, -241/72, 551/144, -391/216, -4217/216, 
  1001/144, -1/2, 11053/4320, -221/108, -1429/120, -17/8, 0, 7/3, -1/2, 
  -25/9, 41/32, 5/24, -35/12, -17/24, 235/48, 5/24, 9/2, 109/8, -31/4, 
  133/12, -44, -37/3, 127/12, -95/8, 23/6, -145/12, -63/16, -47/4, 119/8, 
  123/16, -3/8, 1/12, -47/4, 13/12, 883/16, 827/16, -627/16, -3/4, 497/72, 
  -8497/144, 5/6, -961/16, -433/12, 1795/48, 8533/144, 49/24, -1/12, -127/3, 
  115/8, -61/12, 265/6, -7/24, 3/4, 5/12, -17/3, -5/6, 127/3, -183/4, 
  -533/12, -271/24, 257/8, 31/8, -47/8, -277/8, -83/8, 109/4, -217/48, 
  167/16, 357/8, 191/48, 43/8, 123/8, -1/24, 0, -139/24, -4661/144, -43/16, 
  4661/144, 391/48, 99/16, 6, -2807/144, -13/9, -2855/144, -1043/48, 9/4, 
  3215/144, -427/48, -1351/432, -452/45, 43/12, 76/27, 389/90, 109/144, 
  4913/480, 25657/720, -28739/540, -8203/1080, -1633/144, 2507/48, 653/32, 
  5731/864, -599/48, -163/8, -45/8, 143/4, 203/24, -245/24, 38, 45/8, -157/6, 
  -141/8, 59/8, -59/8, -59/8, -35/18, -11/4, 295/144, -1/12, 0, -4/3, 0, 3/4, 
  1/2, 1/2, -1/6, -3/16, -1/2, -1/18, -245/36, -4/3, -253/72, -353/72, 
  431/144, -115/72, 23/12, 15919/864, -3523/144, -713/72, 215/18, 527/72, 
  1955/144, -389/48, -1607/216, 161/216, 13/144, 53/8, 64501/8640, 1027/216, 
  109/16, 3143/144, 65/16, -189/32, 757/36, 125/8, -61/16, 169/32, -7633/288, 
  -57/8, -811/72, 271/24, -383/96, 233/36, -617/48, 20/3, -259/96, -1141/32, 
  -263/24, 281/32, 619/48, -31/24, 2005/96, -109/24, -29/6, -13/6, -1034/27, 
  583/36, 485/24, 221/36, -1391/72, 7/144, 2213/48, -6575/144, 131/48, 
  -527/216, 412/27, -245/36, 49/18, -8083/270, -19/108, 527/60, 233/360, 
  -97/72, 11/8, -19/16, 307/96, 403/96, 65/8, -11/12, -13/12, 17/48, 109/96, 
  -461/96, -13/3, 7/6, 17585/1728, -1313/72, -713/72, 973/72, 551/72, 
  1937/144, -187/24, -89/144, 10229/480, -667/768, 205/24, -103853/11520, 
  -127/24, 89/12, -831/640, -5249/1152, -163/72, -1027/480, -965/144, 
  -5921/1152, -141847/11520, 1361/2304, -17/6, -1393/192, -449/64, -1073/192, 
  10613/192, -275/96, 19/3, 493/32, 889/48, -145/24, -89/12, 3767/192, 
  3763/192, -989/48, -769/48, 19/12, -1911/128, -215/144, 1507/1152, 
  86833/2304, -25/768, 257/48, 1229/72, -14807/576, -295/48, 10307/2304, 
  3499/576, -5761/2304, 273/64, 1477/576, 17/144, -2795/432, 13/12, -35/24, 
  -1559/576, -31/9, -1309/120, -1/4, -2, -193/24, 0, 11/6, 63/8, 1/18, 0, 0, 
  -193/24, -283/72, -37/24, 1/6, -4/3, -599/36, 0, 0, -1/32, -97/12, 85/32, 
  31/3, 14/3, -4, -127/32, -799/96, -49/2, 29/6, 99/8, 97/8, 0, -101/8, 0, 
  49/8, 65/18, -7/6, -425/16, -127/12, 197/16, -907/48, -299/36, 205/8, 
  209/16, 523/144, 6467/216, 49/12, -2867/144, -343/8, 61/8, 5/96, -119/18, 
  1955/72, -79/12, 9143/288, 217/12, 49/16, -431/32, -433/96, -767/108, 
  7487/288, -7/96, -569/108, -28439/1080, 35/36, -70369/4320, -16699/4320, 
  28439/1080, 23467/2160, -8411/288, 511/96, 365/24, 17/48, -103/24, 19/16, 
  -1841/360, -1, 3199/144, 227/45, -1735/96, 29/10, -1033/1440, -3209/240, 
  -2801/720, 95/216, 20549/1080, -145/18, -4075/432, -7207/240, 1391/144, 
  -527/72, 121/12, 72299/2160, 1085/216, -137/24, -4391/108, -235/36, 
  7759/288, 11059/288, -761/96, 461/18, 679/36, -1045/24, -1411/72, -1369/96, 
  1667/72, -17/6, -811/72, -37291/864, 923/96, 6695/288, 7/36, 25861/864, 
  -11/2, -689/144, 109/3, -667/24, 461/24, 459/16, 2725/216, -89/40, 3/2, 
  -7037/432, 1/180, 403/144, -74797/2160, -13687/540, 6707/1080, 5779/1080, 
  -82937/2160, -89/24, -673/48, 9803/540, -41/8, -2873/432, -4601/1080, 33, 
  499/96, 201089/4320, 2731/288, 34049/1080, -34081/1080, -50201/864, 
  -52013/2160, 21/4, -13/4, 909/16, 2239/80, -12, 567/8, 0, 42, -3/2, 1123/8, 
  1517/8, 33/4, 9, -3481/16, -5095/16, -2475/16, -32647/240, -9/2, -7, 
  2777/96, -7885/96, 2231/96, -1063/32, 289/5, 137233/2880, 333827/3840, 
  8771/768, -17717/576, -5291/128, -91/48, 2333/192, 613/96, 293/48, -943/72, 
  -893/20, -249/4, -4525/144, -219/16, 31/4, 26/3, 0, 5441/48, -229/24, 
  -2117/24, -557/8, 589/16, 23/16, 30799/144, -679/8, -11861/144, 117/4, 1/3, 
  -1837/32, 2477/30, -101/12, -50491/720, -1343/24, 28311/320, -6533/192, 
  -10137/640, 40361/384, -4075/768, -414895/2304, 33791/768, 335/144, 
  12305/768, -877/40, 263/72, 63/2, -69/8, -2225/24, 6223/384, 17201/1440, 
  331367/2880, 61859/1152, 13769/360, 581/8, 6421/360, -6151/72, -211/24, 
  -2515/144, -21755/192, -1025/128, 4967/48, -5173/384, -120881/768, 
  144961/768, 158837/768, -1423/48, -33967/256, 629/288, -83563/960, 
  -65543/3840, -1803137/11520, 3559/64, -823/96, 3929/48, 4525/288, -319/32, 
  5533/180, 307/60, 337/12, -5, -4883/72, 74785/576, 53891/1440, 
  -279713/2880, 12321/32, 2785/16, 52769/160, -155789/1920, -155737/2880, 0, 
  0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3/2, -3/2, -3/4, 
  0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 2, 0, 1/8, -3/8, -1/2, 0, 5/8, 3/8, -1/8, 
  -1/8, 3/8, 0, 0, 0, 1, 0, -1, 0, 9/8, 0, 0, -1/2, 0, -1/2, -1, 0, -5/2, -2, 
  1, 7/2, 3/2, 0, 1, 0, 0, -5/4, 0, -1/4, 0, 3/8, -1/2, -1/4, 1/2, 1/4, 1/2, 
  0, -1/4, 0, 3/4, -3/4, -1/12, 0, -1/24, 1/8, 3/8, 3/8, 4/3, 1/2, -15/8, 0, 
  -3/8, 0, 1, 0, -3/8, -5/24, 7/8, -1/4, 0, 3/4, 1/8, -7/6, 3/8, 5/24, 1/2, 
  0, 1/24, 0, -1/4, 3/16, 7/16, 0, -5/16, 0, -1/2, 0, -1/2, 1, 0, 5/24, 5/24, 
  5/24, 11/8, 23/16, -17/24, -19/16, -1/2, -13/24, 1/24, -13/24, -13/16, 
  -29/48, 1/3, 1/3, -5/24, -43/48, 1/16, -2/3, -1/16, 19/16, 13/24, 5/6, 
  41/48, -1/3, 21/16, 9/16, -5/8, -15/16, -5/12, 1/8, 5/6, 1/6, 7/12, 1/3, 
  -1, 2/3, -7/12, 1/12, 7/4, -17/24, 5/12, 7/12, -5/6, -2/3, 7/6, 11/24, 1/8, 
  -31/12, -1, 19/8, 7/6, 17/12, 5/24, -7/3, 15/8, 9/8, -5/4, -9/4, -1/12, 
  1/8, 7/24, 13/24, -3/8, -5/12, 1/12, -1/6, 1/12, -1, 5/12, 7/12, -9/8, 
  -2/3, 1/3, 7/8, 1/8, 19/12, -7/6, 17/12, -3/8, -5/3, 9/8, -9/4, 1/16, 7/48, 
  13/48, -3/16, -5/24, 1/24, 5/24, 13/48, -3/16, -17/24, 17/48, -1/2, 1/3, 
  -1/3, 7/12, 7/48, 0, 3/16, 1/16, 19/24, 11/16, -7/6, -31/24, 19/16, 7/24, 
  9/16, -5/8, 0, 0, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 
  1/2, -1, 0, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15/2, 13/2, -1/2, -15/2, 
  -11/2, 0, -11/2, 0, 0, 0, 17/2, 6, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/2, -2, 0, 0, 0, -5/2, 0, 0, 1/2, -2, 0, 0, 5/2, 0, 0, 0, 0, 0, 0, -77/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, 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, 0, 0, 0, 0, 0, 
  5/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 
  0, 0, 0, -1/2, 0, 0, 0, 7/4, -1/2, 0, 0, 1, 3/2, -3/4, 0, 0, 0, 0, 1/2, 0, 
  3/2, -3/2, 0, -2, 0, 0, 0, 0, 3/2, 9/8, 1, -1, -1, 1/2, -4, -21/8, 3/8, 3, 
  15/8, 0, 9/32, 9/32, 0, -9/16, -3/2, -45/32, 0, 8, -3/32, -9/32, -9/32, 
  3/16, -1/2, -9/32, 0, -3/32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/4, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, 31/24, 0, 67/24, -1/2, -3/4, 0, -5/8, 
  -23/16, 1/4, 33/16, 0, 0, 1/4, -31/24, 0, -3/2, 43/24, 0, 3/4, 0, -7/24, 
  3/4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3/2, 3/2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 2, 0, -3, 0, 0, -1, 0, 0, 0, 7/4, -2, 0, 0, 0, -1/2, 3/4, 0, 
  0, 1, -1/4, -17/2, 0, 41/32, 17/2, -7/32, 4, 9/4, -21/32, -17/2, -69/32, 1, 
  5/16, 1/32, 0, -31/32, 15, 1/16, -7/32, -16, 75/32, 0, 0, 0, 0, -3/2, -3/4, 
  -3/4, 3/4, 0, -3/4, 3/4, -9/4, 0, 7/4, 31/24, 1/8, -9/8, -35/12, -23/16, 
  1/8, 33/16, 7/8, 0, 31/24, -1, -1/8, 25/24, 1/16, -1/6, -23/48, 0, 0, 0, 0, 
  0, 0, 0, 3/16, -5/16, 1/2, 0, 1/8, 0, -1, 3/8, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -3/4, 0, -3/4, 3/2, 0, 1/2, -3/4, 3/4, -3/8, 7/8, -1/4, 
  1/4, 0, -7/8, -25/24, 5/8, -19/24, 7/24, 0, -1/8, 0, -3/4, -3/8, 1/2, 0, 0, 
  1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0, -19/12, -7/4, 1, 91/36, 7/6, 
  5/8, -3/8, -3/2, 1/2, 1/2, 0, 5/8, -3/8, -1/8, 65/72, 3/8, 0, -5/2, 13/8, 
  0, 7/4, 0, 0, 0, 0, 0, 1/4, -1/2, -7/4, 1/2, 39/16, -3/4, 3/4, 3/4, 0, 3/4, 
  3/4, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 0, 0, 3/8, -3/4, 0, 0, 3/4, -3/8, 0, 3/4, 
  -3/4, -3/8, 1, -7/8, -1, -1, 0, 1/8, 0, -1/8, -1/4, 3/8, 1/4, 1/8, -11/4, 
  -7/8, 5/2, 1, -13/8, -1/8, 1/8, -1/8, 0, 0, 0, 0, 11/24, 0, -7/12, -11/24, 
  11/12, -11/24, 11/12, -11/12, -11/24, 11/48, 11/48, 0, 29/24, -11/24, 5/16, 
  -1/8, -59/96, 53/32, 1/8, 7/24, -1/8, 0, 0, 0, 0, 11/12, 0, 3/8, 11/24, 
  11/12, 11/24, -11/12, -11/12, 11/24, -11/24, -11/24, 0, -3/4, 11/24, 
  -11/12, 11/24, -7/6, -41/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/8, -7/32, 
  -3/32, 3/8, 1/8, 0, 1/2, 7/32, -1/8, -1/8, -3/2, 3/2, 3/2, 1/8, 1/8, -3/8, 
  -5/8, -5/4, -1, 5/4, -1/2, -2/3, 2, -1, -27/32, 5/8, -1/4, 9/8, 0, 0, 0, 1, 
  -2, 0, 0, 0, 0, 0, 0, -1/8, -1/8, 0, 0, -1/6, 0, -2, -5/6, 0, 0, 0, 7/12, 
  23/12, 0, -1/2, 0, -7/24, 4/3, -1/8, 0, 0, 0, 5/12, 5/6, 0, -1/4, 0, -1/8, 
  0, 3/4, 1/2, 0, -1, 5/4, 0, -5/12, 5/6, 5/6, -29/12, -5/12, 17/12, 15/8, 
  7/12, 11/12, -3/8, -1, -5/3, -13/6, -13/12, 1/2, 11/9, -7/6, -3/8, -1/2, 
  -7/6, -3/4, -85/32, -7/4, 1/8, 35/16, 1/3, -17/12, -2, -7/12, -13/6, -3/8, 
  3/2, 13/6, 31/12, 5/6, -1/2, -25/36, 7/6, 3/4, -29/12, -165/32, -7/4, 
  -19/6, -3/8, 75/16, 13/6, -1/3, 17/12, 5/6, -7/36, 13/6, 1/2, -9/8, -1, -2, 
  -1/2, -1/2, 1/2, 0, 0, -1/12, -3/2, 1, 55/18, 11/3, -1/2, -19/8, 9/16, 9/4, 
  7/4, 3/2, 23/8, 17/16, -1, -35/16, -2, 1, 53/16, -11/8, 1/2, -1/2, -5/8, 
  -5/4, -5/2, -13/8, 3/2, -5/8, -1/2, -1, 45/16, -1, -19/4, 13/4, 3/2, 13/16, 
  -29/16, -15/32, 3/8, -3, -5/16, 37/16, 3/2, 25/4, 5/8, -57/8, -63/8, 15/4, 
  -2, -11/8, 9/8, 15/8, 145/32, 7/4, 1/2, 37/16, -17/16, 1/2, 3/2, 5/8, 
  -11/8, -15/8, -3/2, -3/2, -5/32, 5/8, -1/4, -1/4, 2, -13/32, -1/2, 11/32, 
  11/8, 17/8, 23/32, -13/4, 0, -3/8, -3/8, 0, -9/8, 0, -7/8, 0, 0, 3/8, 3/4, 
  0, 0, -3/4, -3/8, 0, 3/4, 0, -3/8, 9/8, -1/4, -3/8, -9/8, 0, 5/4, 0, -9/4, 
  0, 1, -25/8, 9/8, 17/8, 9/8, 0, 0, 0, -3/8, 3/2, -3/8, 0, -3/4, -9/8, 0, 
  -17/8, -7/8, 3/8, 17/8, 0, 0, 3/4, 3/2, 0, -3/4, 0, -7/4, -9/4, 0, -5/2, 0, 
  1, 3/2, -1/2, -3/4, -1/4, 0, 1/2, 1/4, 1/4, 1/4, 9/8, 0, -1/4, 3/2, -17/8, 
  0, -5/2, -2, 0, -23/24, 119/48, 3/8, -5/8, 11/12, -11/6, 11/12, -11/12, 
  11/12, -17/48, 49/24, 55/24, -1/4, -11/12, 11/12, 41/24, -17/48, 107/48, 
  55/24, 35/48, 0, 43/48, -35/24, 125/96, 119/96, 0, 73/96, 51/32, 0, 0, -1, 
  43/48, -13/8, -57/32, 3/4, 0, 73/96, 211/48, 0, 2/3, 61/12, -29/96, 
  -245/96, -23/24, 11/12, -11/12, -11/12, -23/24, 11/48, 157/96, -59/96, 
  -3/8, 23/24, 0, -1/4, -35/12, -1/8, -11/12, -11/12, 11/12, 11/6, -11/12, 
  -5/6, -7/6, -7/6, 5/8, -11/12, 11/6, -11/12, -1/4, 23/12, 17/12, 0, -47/32, 
  35/48, -329/96, -33/16, 0, 47/96, 37/96, 0, 25/48, -45/32, -95/48, 77/96, 
  -1, 0, -25/48, 107/96, 55/16, -31/32, -11/24, 11/12, 11/12, -11/12, -11/6, 
  11/12, 115/48, -47/96, -101/48, -35/96, 19/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 3/16, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0, 0, 1, 0, 0, 3/16, -3/2, -11/8, 
  -1/2, 0, -1/2, 11/8, 0, 17/24, -23/24, -3/32, 0, 1/4, -1/2, -5/24, 11/32, 
  -5/4, -3/4, 1/8, -77/96, 9/8, -11/24, -5/6, -1/3, 1/2, -5/24, -7/48, 0, -1, 
  -1/8, 3/4, -1/12, 5/24, 7/8, -2/3, -1/3, 5/24, 5/24, -1/8, 1/8, -3/8, 
  -13/24, -73/48, -9/16, 1/3, -15/16, -9/8, 15/16, 9/4, 9/16, 0, -9/16, -1/4, 
  -9/4, 1/4, -15/8, -131/96, 13/8, -3/4, -1/8, 1/8, -5/8, -7/4, 9/16, -1/4, 
  9/32, -17/16, 33/32, 9/32, 5/12, -43/24, -131/96, -7/24, -1/12, 5/8, -2/3, 
  1/8, 7/24, 1/3, -1/6, -9/16, 9/32, -2, 35/96, 0, 0, 2, 2, 0, 1/4, 0, -1, 
  -13/4, 0, 0, 0, -1, 1/2, 0, 3/4, 0, 0, -3, -3, 0, 0, 0, 3/4, -1/4, 0, 1/2, 
  0, 0, 0, 0, 0, 1/8, -13/16, 3/16, 1/16, 0, -7/8, -7/8, 0, 0, 3/8, -3/8, 
  1/4, 0, 3/8, 9/8, 0, 7/32, -11/12, -303/32, 37/24, 19/8, 17/8, 9/8, 13/8, 
  61/8, -25/24, -5/8, 11/12, 0, -5/2, 19/3, -35/8, -361/96, -83/48, 245/48, 
  -49/32, 9/8, 3/4, 733/288, 13/16, -23/24, -67/48, 25/32, -5/12, -41/24, 
  -183/32, 17/12, 17/8, 3, 1/3, -1/16, 7/8, 35/8, -7/6, 1/3, -1/3, 5/24, 3/4, 
  2, 11/6, 5/2, -39/8, -13/24, 11/48, -67/48, 1/3, 13/48, -19/8, 3/4, 
  -175/144, 9/8, 7/16, 97/32, 1/4, 1/2, 9/4, 7/4, -1/8, 3/8, -1/8, -45/16, 
  -15/8, -3/4, -7/4, -3/4, 13/8, -3/4, 17/24, 341/96, 9/2, 4/3, -13/3, 3/4, 
  -25/24, 383/96, 5/6, -229/48, 101/96, -57/16, 1/4, -283/96, -7/16, -1/24, 
  25/16, 1/4, 23/24, 19/8, 1/2, -5/12, 1/16, -15/8, -11/24, -15/8, 1/2, 2/3, 
  13/8, -1/2, 25/24, -2, 77/16, 1/8, -25/12, 0, -41/48, 177/32, 1/4, -311/48, 
  -29/24, -65/16, 0, -239/96, 0, 0, 0, 49/16, -9/8, -21/16, -27/32, -19/16, 
  -1/4, 15/8, 0, 17/8, 23/8, 0, 0, -3/8, -1, 49/32, -31/16, 137/32, 9/2, 0, 
  -29/8, -7/8, -79/16, 23/8, 0, 9/4, 33/8, 0, -3/8, 1/16, -3/8, -5/4, 61/32, 
  101/32, -1, -1/2, -29/8, 11/8, -1, 1/16, 1, 9/4, 3/8, 0, -1/2, 11/24, 5/16, 
  11/3, -433/48, -61/8, -25/16, -73/16, 79/12, -1/4, -5/12, 17/6, -29/12, 0, 
  13/12, -19/4, -13/12, -2/3, 11/12, 0, 97/48, -265/48, 9/8, -239/48, 79/12, 
  71/24, 7/4, -3/2, -1, 3/4, 4/3, 3/8, -5/12, -107/96, 1/24, 29/12, 155/96, 
  -1, -7/48, -59/48, 2/3, 67/96, -7/24, 7/12, 0, 0, 583/96, 239/96, 25/12, 
  -7/16, 1/8, 0, -167/48, -109/48, -37/16, -5/32, 7/4, 31/16, -9/8, 0, 91/48, 
  -3/4, 1, -241/96, 3/4, -1, 59/96, 0, -5/2, 9/16, -19/8, 49/32, -3/8, 0, 
  5/12, 5/8, 0, -13/16, -77/32, -3/32, -9/16, 35/16, -25/16, 19/16, 27/16, 
  19/8, -17/16, -45/32, 0, 23/16, 3/8, -1/6, -3/4, -55/96, 3/4, 71/96, 0, -1, 
  9/16, -1/4, 33/32, -5/4, 0, 5/12, 1/8, 0, -25/12, -295/96, -15/32, 5/6, 
  43/48, -1, 91/48, 1/16, 3/16, 15/8, -19/8, -335/96, 19/8, 53/16, -5/4, 
  53/48, 187/96, 95/96, -59/48, -57/32, -95/96, -1/6, 0, 1/2, 0, 0, 0, 
  -47/48, 13/8, 1/4, -11/24, 11/12, -11/24, 11/24, 11/24, -11/24, -11/24, 
  -11/24, 2/3, -35/32, -259/96, -1211/192, -379/192, -1/2, -319/192, 
  -217/192, 1/3, 227/96, -13/24, 19/24, -265/96, -1/4, 11/24, -11/24, -11/24, 
  11/16, 1/96, -259/96, 5/6, -349/64, -1, -75/32, -319/192, 1/4, 1/3, 29/6, 
  -37/32, -19/192, -1003/192, -1/3, 3/4, -143/48, -37/24, -1/8, -41/96, 0, 
  -5/2, 0, 0, 0, 1/8, 53/48, 3/8, 11/24, 11/24, 11/24, 11/24, -11/24, -11/24, 
  -11/12, 11/24, 11/8, -51/8, 9/4, 31/4, -33/8, -191/192, 1513/192, 9/4, 
  55/12, 71/16, -71/16, -81/16, 3/8, 11/24, 11/24, -11/24, -11/12, 11/24, 
  1/48, 31/48, -5/48, -63/64, 3, 257/96, -47/48, -1/2, 1/16, 905/192, 1/8, 
  7/24, 5/12, -2/3, -13/24, 3/8, -5/12, -1/24, 11/8, -17/32, -7/8, 13/12, 
  -1/12, -23/12, -2/3, 3/8, 1/8, 29/24, -1/8, -19/12, 1, -1/8, -71/24, -11/8, 
  9/8, -9/8, -9/8, -1/8, 5/12, -17/12, -7/96, -55/32, -25/24, 61/96, 5/12, 
  -1/12, -19/48, -139/48, -81/32, -2/3, -1/12, 0, -1/4, -1/8, 0, -11/8, 0, 
  -1/2, -9/8, 1/8, 5/6, -23/24, -3/32, -19/24, 7/16, -55/96, -3/16, 71/96, 
  -13/6, 23/24, 7/4, 3/2, 75/32, 4/3, -43/48, -23/24, -13/24, 101/24, 41/32, 
  -95/24, -7/6, 5/12, -89/24, 17/8, -25/12, 1/8, 59/24, 1/8, 0, 17/16, 1, 0, 
  -17/16, -1/4, -1/8, -13/8, -13/24, 3/8, 1, -15/32, -13/12, 1/4, -7/8, -1/8, 
  -19/12, 3/4, -9/8, -1/8, -3/8, -5/12, 3/4, 13/24, -3/8, 5/12, -1/12, 5/12, 
  -181/48, -41/32, -5/12, -1/8, -3/4, -2/3, -1/4, 17/24, -29/24, -2/3, -3/8, 
  -1/8, 1/3, -17/24, 1/8, 13/12, -11/8, -83/48, 163/96, -1/2, -125/96, -9/8, 
  9/8, -9/4, 5/12, 1/4, 3/16, -143/96, -1/2, 91/96, -13/16, -17/16, 0, 
  -21/32, -1, 7/12, 0, -3/16, -5/24, 41/24, 1/2, 5/24, -1/24, 1/3, 71/48, 
  -1/3, 0, 0, 5/16, -1/16, 13/24, -19/16, 0, -9/16, -13/24, 0, -3/8, -9/16, 
  5/8, -3/8, -5/12, 19/16, 11/32, 4/3, 1/8, -5/16, 43/48, 7/12, -23/16, 
  13/12, -7/4, -5/12, 43/48, 3/8, 17/12, -7/6, 2, -2/3, 2/3, -9/8, -7/24, 0, 
  5/12, -5/16, 15/8, -5/8, -9/4, -29/16, -31/24, 47/48, 1/2, -2/3, 73/12, 
  -17/48, 43/24, 17/48, -79/48, -5/12, -11/12, 1/12, 2/3, -11/8, -59/48, 
  -1/16, 23/12, 3/16, -19/16, -5/8, -7/12, 79/48, 2, -9/16, -9/16, 5/8, 5/4, 
  -3/16, 1/32, -175/96, -15/32, -9/16, 83/96, 85/32, 269/96, 0, 3/8, 1/4, 
  -5/16, 15/16, -23/8, -51/32, -21/32, 7/4, 0, 13/16, 0, 59/48, 91/32, 0, 
  21/16, 53/48, -1/48, -1/4, -79/96, -3/32, -43/48, 85/48, 145/96, 1/2, 
  -175/48, -31/96, -1/2, -805/96, -239/96, 211/96, -59/48, -175/48, 1495/96, 
  397/48, -161/96, 5/48, -3/16, -101/96, -49/48, -19/16, 209/32, -83/24, 
  689/96, -31/3, -35/16, -27/16, 5/8, 75/16, -5/24, 47/48, 3/8, 65/48, -4/3, 
  -3/8, -23/24, 17/48, -3/16, 1/3, -13/12, -5/24, -29/16, 61/48, 17/24, 1/6, 
  -1/2, 0, 1/3, -1/12, -7/48, 0, 0, 47/48, 109/48, -19/24, -39/8, -41/16, 
  7/24, 65/24, -1/2, -5/12, -1/6, 5/12, 41/12, 75/16, -7/24, 13/12, -1/4, 
  -7/4, -2/3, -23/24, -23/12, 1/16, 11/24, -25/16, 19/16, 85/24, 19/6, 
  -115/48, -31/12, -11/16, 9/16, -5/8, -1/16, 5/24, 13/96, -47/96, -1/2, 
  -257/192, -41/96, -7/24, -85/64, 1/2, -1/8, -33/64, -11/32, -313/192, 
  -215/192, -1/3, -107/192, 15/32, -23/32, 101/192, 29/24, -19/16, -533/192, 
  59/96, 115/192, 107/192, -61/48, 5/8, 1/12, -1/16, -1/16, -7/48, -13/48, 
  1/8, -5/24, -21/64, -1/24, -25/48, 95/192, 29/8, 1/8, -3/8, 349/192, 1/3, 
  1/16, -3/16, -1/16, 1/16, -19/24, 613/192, 37/48, -5/3, -289/192, -9/16, 
  19/16, -1/16, -7/48, -5/24, 1/3, 13/48, -3/16, 5/24, -1/24, 0, -11/24, 
  11/48, 7/24, 35/48, 7/8, -1/3, 5/24, -5/24, -3/2, -1/3, -5/16, -1/16, -5/8, 
  -55/48, 1/16, 3/8, 19/24, 5/12, -31/48, 5/12, 79/32, -127/48, -13/12, 1/12, 
  1/12, 2/3, -3/8, -11/16, -19/12, 9/16, -1, 1/8, 115/48, 11/8, -9/8, 9/8, 0, 
  0, 1/2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 
  1, 0, 0, 0, -1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0, -9/2, -2, 
  9/2, 0, 0, -12, -1/2, 0, -1/2, 0, 0, 9/2, 0, 0, -3/2, -1/2, 0, 7/8, 0, 0, 
  0, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 1, 0, 0, -1/2, 0, 0, -9/2, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -13/9, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0, 
  1/2, 0, 0, 7/6, 0, 0, 0, -1/2, 0, 0, -13/9, -3/2, 8/9, 0, -13/9, -3/2, 3/2, 
  3/2, 1/2, 7/4, 1/2, 1/2, -1/2, -1, 849/16, -14, 675/16, -1/2, -9/8, 33/4, 
  23/4, -9/16, -165/16, 9/16, 9/16, 0, -1/2, -1/2, 5/2, -9/16, 3, 9/16, 0, 
  -2, 117/80, 2/5, 63/80, 0, 0, 0, 5/3, 1, 0, 0, -1/2, -1/2, -13/6, 0, 0, 0, 
  0, 0, 0, 0, 0, 1/2, 1/2, -1/2, -1/2, -1/2, -2, 0, -1/2, 0, 0, -1, 1, 4/3, 
  3, 1/2, 4/3, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -3, 0, 0, 0, 1/2, 0, 
  0, -2, 0, 1/2, 0, 0, 0, 0, 0, 0, 121/2, -17, 9/2, -3/2, -17/24, -65/24, 
  7/8, 1/2, 1/8, -2, 1/8, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, -1/2, 0, 0, 
  8/9, 0, -58/9, 0, 0, 0, 1/2, 1/2, 0, 1, 1, -7/6, 0, 8/9, 0, -89/18, -89/18, 
  -683/80, 8483/80, 2085/16, -1723/16, -33/16, -13/4, 0, 11/4, -117/8, 7/8, 
  -13/8, 5/4, 0, 1/2, 137/16, -71/16, -29/16, 19/60, -51/80, 241/80, -469/80, 
  -309/80, 143/16, -381/20, -1621/16, 79/8, -61/8, -9/8, 321/8, -3/4, -3/2, 
  0, -233/16, -7/240, -23/80, -7/240, 307/80, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, 
  5/3, 1, 0, 0, 13/6, 0, 0, 0, 0, 1/2, 7/2, 0, -2, 0, 0, 5/2, -3, -8/3, 0, 0, 
  0, 0, 0, 0, 0, -2/3, 0, 0, -2/3, 0, 0, 0, 0, 0, 121/32, -121/32, 0, 0, 
  11/8, 0, 0, 0, 0, -1/4, 0, 1/4, -103/48, 0, 0, 1/8, 0, 0, 0, 0, 0, 0, 0, 
  2/3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, -3/4, 4, 1/4, 
  -1/4, -15/4, 0, 0, 0, 3/2, -3, -8, 7/2, 0, 0, 0, 5, 2, -13/4, -11/4, -15/4, 
  3/4, -7/4, -3/4, -1/2, 1/2, 1/12, 0, 0, 0, 0, -1/2, 1/4, 9/4, 1/2, 7/8, 
  3/2, -3/4, -17/16, 23/16, -1/12, 0, 0, 0, 0, 1/2, -1/4, -9/4, -1/2, 1/16, 
  -13/24, -5/16, 0, -1/4, 0, 1/16, 0, 0, 0, -19/4, -1, 4, 5/2, -3/2, 3/2, 
  -5/4, -1/2, 7/2, 5/4, 1/2, 0, -1/2, -7/6, 0, -7/4, -1/4, 5/4, -1/6, 11/96, 
  -35/96, 0, -1/2, 3/8, 1/2, 0, 0, 0, 7/6, -5/8, -23/16, -1/4, 17/16, 13/6, 
  -41/16, 0, 1/2, -1/8, 1/2, 1, -1, 0, 5/12, 25/24, -2/3, -5/12, 1/36, 0, 
  -19/36, 5/18, 4, -35/36, 1, -1/36, 29/9, -221/16, 36/5, -13/4, 3, 0, -9/32, 
  0, 3/8, 55/32, -1/16, 5/2, -9/4, 0, 9/32, 0, 5/24, -25/24, 1/24, 107/80, 
  -7/480, 0, 0, -39/32, 101/96, 0, 0, 0, 1, -1/6, 157/48, -15/8, 0, 0, 0, 0, 
  -1, 0, 0, -1/12, 67/48, -73/48, 0, 0, 0, 0, 0, 0, 0, 0, -221/48, 43/96, 
  143/96, 13/24, -13/12, -13/24, 11/12, 0, 0, 0, 0, 0, -5/2, 43/32, 0, 
  11/192, 33/16, 0, 0, 0, 0, 0, 3/4, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, -4/3, 0, 
  -27/32, 0, -4/3, 0, -5/3, 0, 0, 0, 0, 1/4, 0, 27/32, -1/3, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2819/96, -63/16, 0, -4/3, 0, 0, -3/2, 
  5/6, 0, -3/2, -5/6, -99/32, -63/16, 41/16, 79/16, -155/32, -235/48, 0, 
  -2/3, 0, 0, -73/192, 307/192, -211/192, -43/24, -203/192, 25/16, 7/8, 0, 
  -1/4, 1/4, 0, -1/2, 5/6, 209/48, 7/24, 1/8, -7/24, 13/16, -4/3, -121/48, 
  5/8, -1/6, 0, 0, 0, 95/54, 33/32, -1997/864, 0, 0, 0, 0, 0, 0, 0, 0, 193/4, 
  -2/3, 0, 5/48, 0, 0, 0, -4/3, 299/48, 0, -19/6, 0, 1/12, 0, 0, 0, 0, 5/24, 
  -1/12, 0, 0, 0, 0, -2/3, 0, 0, 5/12, 0, 0, 0, 0, -19/2, -5/6, -21/8, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 403/220, 0, -1163/220, 0, 0, 0, 0, 0, -7/4, 1/2, 0, 
  0, 3/2, -403/220, 1/2, 279/110, -165/8, -349/4, -1/2, 7/2, -129/4, 
  17161/320, 2499/40, 57/2, -27481/320, -45/2, 28689/640, 133/8, 64, 301/8, 
  193/8, -485/8, -161/2, -193/8, 599/4, 4, -197/4, -141/8, -225/8, 431/8, 
  -15, -427/16, 85/16, 16, -6967/640, -2, -1249/96, -65/8, 0, 37/8, 41/8, 
  -161/48, 1/4, -47/24, -4/3, 13/4, -361/48, 0, 37/12, -8/3, -7/4, -5/2, 0, 
  15/8, 13/4, -1/2, -5/4, -5/2, -1/4, 0, 21/16, -101/96, 109/96, 41/48, 
  -9/32, -15/32, 0, 29/48, 31/48, 0, -11/4, 0, 69/16, 3/4, 0, -77/48, -13/24, 
  1, 1/16, 19/16, 9/8, 5/32, -7/8, 0, -13/32, 1/32, -11/24, -1/32, 0, -3/16, 
  -17/16, 0, 11/4, 9/16, 89/24, 0, 19/16, -31/24, -1/2, 29/48, -25/48, -3/4, 
  0, -3/8, -5/12, 1/4, 35/6, -41/6, -19/16, 0, -2, 11/2, -5/6, 45/8, 0, -3/2, 
  -6, 0, 9/4, -15/4, -55/16, 3/4, 27/4, -1/2, 5/6, 5/6, -5/6, 7/4, 5/4, 0, 
  -5/4, 7/6, 5/12, -95/16, 7/6, -103/16, 613/192, -5/2, -3/2, 0, 1, -19/24, 
  -23/72, 11/24, -57/16, -173/72, -3/4, -3/4, 7/4, -1/8, 0, -44/9, 56/9, 
  44/9, 0, -8/9, 0, 20/9, 8/9, 2501/144, 269/24, -81/32, 1345/96, 883/72, 
  -751/96, 0, 113/12, -7/6, 4/3, 5/6, -5/12, 697/48, -7/6, 889/48, 0, 
  -473/48, 5/6, -7/4, -3/4, 5/12, -83/16, -7/6, -9/4, -3, -7/4, 23/6, -7/12, 
  -9/4, -3/2, -9/4, 31/12, -7/12, -55/24, -151/192, -4/3, -29/24, 53/12, 0, 
  -773/192, 7/24, 901/192, 53/12, -157/192, -773/192, -25/64, 3, 3/2, 0, 
  -3/2, 145/72, 4, 19/4, 3/2, -307/48, -95/72, -65/12, -23/16, 17/8, 17/16, 
  89/24, -1/2, -11/6, 3/8, -7/8, -23/24, 119/48, 17/24, 29/12, 7/4, 0, -9/4, 
  0, -1, 9/4, 11/8, -7/4, -1, 13/24, 71/48, -7/12, -71/48, 0, 0, -35/9, 0, 
  35/9, 35/9, 31/9, 0, 1741/144, 587/72, -129/32, 5567/288, 1/4, 82/9, 
  -4217/288, 5/2, 3/2, 0, 2021/144, 763/72, -93/32, 1513/96, 2, 877/72, 
  -955/96, -55/24, -397/144, 1/4, 31/9, 25/8, 107/32, 13/3, 1/2, 53/12, 
  31/12, 145/24, 27/8, -9/8, -103/24, -53/12, 139/24, -7/2, 2/3, 89/32, 
  -41/8, 1/8, 1/24, 23/16, -49/16, 139/80, 7/2, 43031/960, 252661/2880, 
  25369/480, 383/10, -22039/480, -6047/96, -24773/120, 68597/160, -265/32, 
  2497/288, 175567/720, 61967/960, -12677/160, 2247/16, -86119/1440, 13/8, 
  -37561/120, 187/15, 275/16, -3001/240, -797/16, 79477/320, 2743/48, 
  -2655/32, 90157/1440, 7/24, -197/24, 151/12, 17/16, 83/24, 349/32, -145/24, 
  -349/32, 137/48, 83/24, 637/96, -145/24, -709/96, 13/3, -71/24, -671/96, 
  -379/24, 415/96, 7/3, -49/24, 71/96, 26/3, -197/32, -449/48, 23/16, 431/96, 
  -1/16, -359/96, -5/3, 7/4, -2/3, 2/3, -583/48, -23/24, -53/48, 583/48, 
  -5/24, 25/24, 1/12, -19/6, -175/96, -37/16, 53/8, 223/96, 25/8, 133/24, 
  -7/12, 25/48, -281/48, -7/24, -11/6, 11/12, 55/24, 187/48, -871/96, 
  -601/120, 25/16, 511/48, -2329/160, -77/30, 1123/60, 2609/240, 541/480, 
  7/16, 2899/120, 10627/240, -869/40, -5791/240, -1701/80, -8837/240, 779/96, 
  225/4, 7019/160, 1737/80, 3121/240, -7983/160, -783/20, -789/40, 285/64, 
  -3/4, -1/4, 3/4, 0, -3/4, 49/96, 1/6, 337/72, -107/24, 3/4, -3/4, 0, 3/4, 
  -91/24, 1/6, 89/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35/288, -4/3, 
  -7/4, 299/576, -121/96, 511/576, 983/192, -1087/576, -5/6, -121/96, -13/96, 
  983/192, -67/96, 0, 1, -3/4, 3/4, 7/4, -1/12, 77/288, 23/24, 127/48, 25/24, 
  107/576, 559/576, -559/576, 319/72, 161/48, 217/144, 1/4, -59/48, -5/16, 
  -121/24, 1/4, -17/3, 97/48, -3/4, 3/4, -3/4, -7/4, -31/9, -49/48, -43/16, 
  -23/48, 0, -85/144, -1/12, 9/16, 67/48, 121/24, 0, 0, 0, 0, 0, 0, 0, 3/16, 
  59/32, 0, 0, 0, 0, 0, 0, -5/16, 9791/576, -1/4, -10223/576, -59/32, 
  10223/576, 10655/576, 0, 97/96, 3/16, -2099/192, 361/192, -35/3, 427/192, 
  401/96, 455/96, -173/96, -341/64, -623/192, 455/96, -169/192, -341/64, 
  -145/64, 0, -19/24, 0, 0, 0, -13/24, -5/12, 11/8, -1/12, -25/24, 5/4, 
  -3/32, 0, 0, 0, 0, -1/4, -1/4, -753/64, -1, -827/192, -6, -13/3, 427/192, 
  -83/192, 43/32, -43/192, 11/192, 283/64, 1/4, -3, -7/4, 1595/864, 101/288, 
  43/16, -3/4, 0, 0, 0, 0, 1/4, 5/2, 0, 11/4, 0, 3/2, -3/2, 0, -1673/288, 
  25/32, -217/96, 11/4, -9/16, -9/4, 9/16, -2/3, -83/16, -65/48, -27/16, 
  -9/32, 9/32, -27/32, -71/432, 245/288, 3/8, -109/16, 1/6, -13/6, 55/24, 
  83/96, 1/32, -2, 425/12, 0, 0, -99/4, 0, 5/8, -4, 141/16, -17/12, 121/48, 
  -69/8, -1, -379/16, -1213/48, 1, 19/4, -547/24, -91/16, 3379/144, 689/48, 
  45/8, -141/8, -79/8, 53/3, 53/12, -469/32, 573/32, 1297/96, 157/32, 475/48, 
  27/32, -109/24, -529/48, 0, 0, 17/4, 121/24, 0, 1739/96, 31/16, -203/24, 
  -31/16, 27/32, 7/4, -261/16, -49/4, 785/48, 32/3, -71/16, 531/32, 57/4, 
  53/32, 857/48, 27/32, -25/2, -361/24, 27/32, 29/12, -75/16, -17/4, 227/48, 
  2, -91/16, 531/32, 59/4, 125/32, -7/16, 45/32, -25/12, -671/48, 9/32, 
  -29/24, 161/24, 1507/288, -165/64, -523/288, -13/4, 0, -16607/1152, 
  149/192, 0, -103/16, -47/48, 9529/288, 111/32, 143/96, 17231/1152, 
  -15545/1728, -3/32, -17519/384, 15383/1728, 17375/576, -7703/1152, -37/8, 
  7283/864, -385/48, -385/864, -16609/576, -2417/216, -5/16, -16121/1728, 
  -3/32, -7/16, 12215/1728, 3/4, -15251/1152, -37/8, 33499/1728, -385/48, 
  -14309/1152, -511/864, 31/144, -36955/1728, -1/3, -1/12, 1, -17/12, 17/4, 
  383/192, 1/6, -19/12, -145/96, 1/2, -1/6, -19/6, 0, -521/192, 0, -1/8, 
  9/16, -47/48, -3/8, -2/3, 97/48, 5/2, -53/48, -3/4, 11/16, -31/96, 1/16, 
  -13/48, -157/96, -9/32, 337/32, 121/16, 9/32, 1/3, -5/4, 1/3, -97/96, 
  -23/12, -3/32, -5/6, 31/12, 37/16, -1/2, 0, -1/8, 0, 1/8, 0, 1/2, -1/2, 
  -55/16, 841/288, -217/72, 55/16, 103/32, -623/432, -13/16, -2321/576, 
  2321/576, 1997/1728, 1/3, 1/6, -1, 25/12, -1165/864, 11/6, -55/48, 
  1997/1728, -2/3, 35/48, -1/3, 2099/192, 275/64, 0, 0, -1/3, -1081/96, 
  -25/64, 0, -43/32, 0, 11/48, 0, -5/12, 0, 5/12, -2/3, -11/48, 0, 0, 2/3, 0, 
  0, -7/64, 0, 461/64, 559/48, -5/16, -5/48, 0, 73/64, -541/96, -5/48, 
  -37/32, 0, -25/36, 5/12, 0, 413/72, -5/12, 1/2, -3/4, -967/48, 385/8, -8/3, 
  43/48, 23/4, 7/8, -461/8, 251/48, 493/48, -5/12, -2927/96, -85/8, -917/192, 
  1127/48, 499/192, 13/12, 947/48, 17/6, -2/3, 99/16, -1045/96, -251/192, 
  -53/6, 29/96, 4/3, -103/24, 0, -289/48, -29/24, 0, 0, 2/3, 285/16, 461/48, 
  0, -185/48, 1/4, -109/96, 5/4, -881/192, -23/96, 331/192, 13/12, -59/24, 
  145/48, -2/3, 113/24, -181/96, 1081/192, -349/48, -245/96, -5/12, -469/96, 
  -13/16, 7/6, 13/96, -3/8, 13/12, -15/8, 1081/192, -2/3, 221/96, -367/96, 
  103/32, -579/64, -9/4, 0, 7/48, 53/96, -589/144, -65/96, 589/144, 0, -13/8, 
  0, 5/12, 0, -5/12, 0, -409/192, 1291/384, -41/384, 0, 1/12, -539/384, 0, 
  -1453/96, -953/384, 0, -23/16, -409/192, 23/8, 271/64, -19/16, 0, 1/12, 
  -535/384, 0, -1123/384, -461/192, -491/128, -351/128, 803/432, 73/288, 
  -7/48, 0, -803/432, 11/288, 2/3, 13/8, 0, 0, -2/3, 0, 0, -17/12, -155/48, 
  205/64, 249/64, 0, -1/16, 0, 583/96, -995/96, -145/48, -5/24, -7/32, 
  255/64, 1/96, -9/16, 0, 1/12, -13/32, -533/192, -5/12, 0, -1/8, 1/4, 
  367/32, 121/24, -275/24, 0, -1/4, -165/16, -5/12, 1/2, 3/16, 19/32, -1/4, 
  -1/16, 0, 1/8, 0, -5/2, -45/8, 0, 0, 0, 1/4, 11/4, 5/12, -1/2, 5/12, 19/96, 
  59/96, 383/96, -19/24, -7/3, -9/16, -311/96, -157/32, 37/48, -29/8, 11/32, 
  -743/96, 115/24, 53/32, 0, -125/192, 121/96, 125/48, 7/3, -21/16, 0, 
  -109/32, -59/16, 5/48, 29/192, -73/192, -31/16, -5/64, -205/192, -137/96, 
  625/144, -775/96, 289/24, -37/12, 0, -401/768, -27/64, 1771/384, 503/96, 
  -27/16, 9047/384, -751/48, 1/2, 1/4, 1/4, 5, 1675/48, -653/96, 103/32, 
  3769/144, 151/48, 2269/144, -2479/288, -467/18, -3, -155/6, 535/288, 
  -601/32, 4955/144, 109/144, 121/96, 7/24, -5/6, -5/4, -757/144, -17/8, 1/2, 
  895/96, -99/8, -13/12, -3/4, 41/12, 0, 0, -5/2, 49/24, 3/4, 0, -755/96, 
  -127/12, 0, 127/48, 245/36, 11/24, 409/72, 7/6, 101/96, -727/48, 39/8, 
  -55/24, 89/24, 3/4, -625/144, -1307/96, -101/8, 827/96, -629/48, 121/18, 
  41/24, 415/36, 7/6, -5/12, -1637/144, 157/32, 2, -41/4, -5/4, -197/288, 
  -479/32, -13/8, 851/96, -11/24, 65/9, 1/8, 2395/144, 1/2, 381/128, 457/192, 
  -851/128, -257/192, -11/12, -4523/576, -11/192, 443/384, 983/192, 721/48, 
  -533/192, -279/16, 3/4, 1/64, -31/16, 71551/13824, 2993/192, 11/24, 0, 
  303/64, -2993/192, -1/3, -52255/13824, -2719/192, -78917/4608, 2279/192, 
  79861/4608, 323/384, -213/64, -97/48, -59/384, 1327/192, 73/32, -297/128, 
  563/192, -523/192, 85/48, 7195/3456, -8405/384, -82661/4608, 3007/192, 
  74677/4608, -1/16, -269/48, -97/48, -49/48, 185/48, 7/8, -8629/1152, 
  563/192, -11/64, 85/48, 11369/1728, -1957/128, -6245/4608, 2779/192, 
  -2411/4608, -45/16, -269/48, 7/2, 31/16, -455/96, 187/48, 151/48, 
  -1303/144, 5/8, -3/4, 264437/8640, 29/12, -40151/1920, -3/8, 0, -10475/864, 
  3131/384, 1/3, -271997/8640, 44701/1920, 7979/864, 13/32, 7/4, 1003/288, 
  -935/192, 51/16, -1817/576, -41/16, -461/384, 467/128, 65/576, -211/384, 
  -233957/8640, 309/32, 14687/640, 33/32, 25/3, -983/192, -73/24, -41/12, 
  679/128, -65/48, -357/128, -131/12, 741/64, 5, -595/384, -103/12, -81/32, 
  697/36, -205/32, -77/48, 151/48, 5425/288, -713/36, 13/8, 11/48, -3929/288, 
  19/32, 7397/288, 0, 165/32, -191/12, -187/32, -85/24, 133/48, -1/2, 
  -545/144, 45/16, 1/2, -3, 5573/288, 3/32, -2141/144, -659/72, -101/32, 
  -5185/288, -219/16, -629/48, -3049/144, -3/8, 405/32, 69/4, 3019/144, 
  -211/48, 1143/32, 1183/96, 147/8, -13223/288, -1427/144, 3, -1261/288, 
  -371/24, -3/4, -719/72, 1/8, -13/96, 501/32, 647/72, -5/16, 1285/288, 35/3, 
  9/4, -15683/288, -3/32, 49/18, -553/48, 1/36, -13/9, -24451/5760, 
  -40679/160, -1067009/2880, -991/16, 1, -77521/480, 60979/480, 1477/16, 
  78863/480, 0, 0, -41/8, 50167/120, -43/8, 1092479/2880, 449/16, -59/72, 
  95/24, -77/36, 1, 847/144, -1/2, -397/72, -1541/288, -53/16, -427/72, 
  -313/288, 125/18, -1063/96, -11/8, -14/3, 83/36, 265/96, -53/16, 457/96, 
  -697/144, -313/288, -19/16, 125/18, -917/96, -349/32, 35/4, 193/48, 
  -1069/72, 191/144, 1, -181/48, 361/24, 7/4, 301/288, -157/72, -9/8, 85/24, 
  -99/8, 121/24, -715/288, -101/12, -8/3, 667/48, -17/24, -177/32, 19/24, 
  89/48, -11/72, 97/144, 191/32, 185/48, -163/12, 43/96, -599/480, 13361/480, 
  695/96, -35/8, 289/40, 5089/240, 317/960, -4351/120, -7681/320, 277/48, 
  13/24, 2259/160, 2989/320, -9/4, -1603/192, -5/48, -2477/864, 491/72, -1/6, 
  2321/216, -419/72, -2113/288, -923/1440, -8191/2880, -21793/4320, 
  26713/8640, -181/36, -2243/192, 407/48, 3035/192, -79/16, -65/16, 11/16, 
  31/16, 23/8, 83/24, 67/48, 19/2, 71/16, -143/24, -87/16, 13/16, 0, 11/16, 
  -13/16, 0, -185/96, -881/192, -217/36, -89/48, -2197/128, 28/3, 3211/128, 
  0, 107821/3456, 215/96, 25327/1152, 25907/2304, -74753/2304, 0, 4637/288, 
  22445/3456, 0, 138959/6912, -24497/3456, 73073/2304, -22187/1152, 
  -31165/6912, 4/3, 128719/2304, 59765/6912, -78665/2304, 17609/1152, 
  4603/288, 16621/3456, -41/36, 26899/2304, 130175/6912, 11/16, -31669/3456, 
  74513/2304, 71/96, -26017/6912, 4/3, 27499/768, 52601/6912, -84557/2304, 
  25853/1152, 4603/288, -13703/3456, -41/36, 39209/768, 111599/6912, 
  -6943/384, 5747/3456, 127799/2304, 7/12, 1/2, -19/18, 1587/160, 217/48, 
  -361/80, 349/288, -833/96, 149/96, -13273/1440, 59/36, 211/432, 37/9, 
  -481/192, -1877/864, -109/24, -323/288, 0, -85/192, 4319/2160, 77/216, 5/2, 
  177/64, -173/48, 353/192, 15/8, 53/144, 805/96, 13/12, 83/12, -613/96, 
  -307/48, -331/72, -739/96, -31/16, 239/48, -31/6, -349/48, 16/3, 117/8, 
  -55/16, -41/72, 13/12, 37/24, 7/16, -697/96, -41/8, 103/24, 115/12, 29/4, 
  -167/24, 137/24, 109/12, 0, 0, 17/6, 29/6, 0, 0, 41/6, 0, 0, 0, 0, -5/6, 
  23/24, 17/24, -89/24, 15/8, -7/3, 13/6, 3/4, 20/3, -4/3, -1/8, 0, 11/8, 
  1/8, 0, -15/16, -45/32, -9/32, 15/8, 9/8, -15/16, 3, 45/32, -9/4, -33/16, 
  -17/16, 0, 41/16, 17/16, 0, -61/32, 16561/6912, 25/16, -26827/768, 
  -40517/6912, 83405/2304, -3097/192, -1843/96, 121391/3456, 6271/288, 
  -8681/1152, 83/64, 269/288, -3/64, -457/384, 5/288, -181/144, -575/64, 
  -5/288, 803/192, 185/36, -391/288, 59/48, 95/192, -377/96, 11/48, -11/48, 
  0, 0, -689/192, -11/24, 11/48, 11/48, 0, -11/24, -21/8, -59/96, 611/256, 
  3/32, -705/128, 3/32, 671/256, -785/128, -4/9, -1471/384, 761/144, 0, 0, 
  -487/288, -1/6, -317/864, 1/12, -947/768, 95/64, -1657/768, 437/144, 
  745/72, -2411/384, -455/144, -889/768, 3/32, -1761/256, 179/384, 0, 521/96, 
  1223/192, 299/96, 83/64, 243/64, -137/192, -523/96, -193/192, -23/12, 
  -11/48, 9595/6912, 1039/48, 851/192, -1379/64, -63557/2304, -53/24, 95/16, 
  299/96, -3/2, 259/96, 3/2, -229/96, -193/192, -37/32, -11/48, -72593/6912, 
  363/16, 149/16, -949/192, -62021/2304, 37/12, 79/16, 589/192, -1/9, 5/3, 
  -12319/4320, 0, 5/36, 0, 11/6, 11/24, 199/96, -10259/384, 45587/8640, 14/3, 
  1/2, 833/432, -112393/8640, -33025/1152, -19/4, 315403/17280, -359/72, 
  -23/24, 16193/864, -3431/1152, -49/27, 103753/8640, 221/1152, 27781/5760, 
  2147/72, -1511/144, 67777/6912, 65/32, -154507/6912, -74573/6912, 
  65629/2304, 152527/17280, -336023/17280, 1721/3456, 108503/17280, -17/72, 
  0, -13/24, 55/36, -17243/17280, -443/48, -30007/17280, 125/72, 1/2, -41/24, 
  -62497/17280, 1/2, -5/24, -1/24, 3/8, 0, 21/16, -1/2, 1/3, 31/24, -73/72, 
  155/24, -2/3, -1/3, 5/24, -17/24, 3/8, -373/48, 4/9, -13/24, 25/48, 
  3655/288, 1/3, 15/8, 17/16, -7/12, -7/16, -1/3, -41/72, 637/192, -3/8, 
  5/16, -17/9, 33/4, -5/2, 9/8, 7/8, 1/3, -367/48, -229/192, -241/144, 13/24, 
  3/4, -7/24, -331/48, 0, 11/18, -217/24, -1/8, 16/3, -43/16, -11/8, 
  1781/144, 97/32, -2, 25/24, 521/96, -9/8, -5/4, 949/288, 5/16, 7/4, -5/32, 
  0, 41/24, 5/32, -3/8, -83/24, 3/8, 0, -1/6, 9/32, 1/24, 131/24, 29/3, 0, 
  -35/24, 1, 0, -11/4, 33/16, -67/24, -15/16, 1/8, 23/4, 3/8, -395/48, 9/8, 
  9/16, 9/16, 0, -22091/1728, 13/36, -59/96, 41731/1728, -1001/288, 95/96, 
  -4021/216, -3/8, 7/48, -1417/576, -13937/1728, -367/576, 1067/108, -7/12, 
  -2437/576, 16621/5184, -6787/1728, -65077/3456, -289/144, -97/64, 
  30799/3456, -103/576, -29921/1728, 2077/576, 53801/3456, 7/12, 8/9, 1/12, 
  -11/24, -13/24, 0, 23/3, 167/96, 283/96, -71/16, -75/32, -7/48, -27/16, 
  101/64, 7/12, -1/6, -1/2, 41/48, 1/2, 1/16, -421/96, -313/96, 835/192, 
  161/24, -1/2, -31/16, 1/8, 17/24, 5/12, -5/4, -13/24, 3/8, -5/12, -1/24, 
  33/32, -1151/432, 307/144, 13/12, -1/12, -17/16, -2/3, 3/8, 1/8, 17/24, 
  -1/8, -13/12, 1, -1/8, -1045/1728, -11/8, 9/8, -9/8, -9/8, 11/12, -1/2, 
  191/64, -5/12, 7/24, -41/8, 1/18, -63/32, 5/24, -577/108, -1/2, -61/36, 0, 
  5/24, -1/3, -1993/440, -233/216, 28/9, -11/18, -2749/432, 2083/432, 7/36, 
  9/4, 101/24, 551/144, -121/72, -3/4, 23/12, -91/32, -59/12, 3/16, -241/48, 
  985/24, -881/96, 163/16, -1105/48, 3, -35/4, -25/12, 25/6, -2171/96, 
  -269/16, 3887/96, 9/4, -155/8, 227/6, 205/12, 367/96, -253/96, -5, 
  -5705/96, 50327/1280, 3539/48, 1633/96, 83/6, -335/24, -315/16, 1493/96, 
  1435/48, -291/4, -2957/96, -383/24, 11/24, -221/48, -3/4, 5/12, -1595/192, 
  491/96, -8/3, 311/192, 7/4, 5/8, 23/6, -11/24, -411/64, -1/12, -7/6, -1/3, 
  13/24, 1175/48, 77/24, -451/192, -1739/96, 15/8, -13/24, -179/16, 31/48, 
  1/3, -11/32, 65/32, -3/2, 21/16, 0, -11/48, -391/192, -37/96, 583/192, 0, 
  877/144, 169/192, 0, 0, 439/192, -7/24, 105965/6912, -3733/192, -937/48, 
  -5/12, -2, 347/48, 0, -105965/6912, 525/32, 109133/2304, -519/64, 
  -64157/2304, -67/16, -695/432, 157/48, -553/288, 0, -205/48, 107/48, 0, 
  -147/16, -7/4, 1/2, 1007/96, -49/48, -2/3, 189/32, 71/48, 0, 107/8, 153/32, 
  -227/16, -205/32, -97/32, -5/24, 5/48, -5/6, -5/192, 37/24, 29/16, 85/16, 
  -73/48, -1/12, 1/12, 1, 335/96, -97/48, 2/3, -1/16, 5/24, 23/24, -1/8, 
  -363/32, -1013/192, 275/24, -13/24, 311/192, 1405/96, 7/16, -15/16, 19/16, 
  -19/32, 55/32, -5/12, 373/96, 1301/288, 11/32, 11/12, -139/72, 2299/288, 
  23/8, 67/72, -17/8, 13/12, -647/72, -155/48, -29/72, -37/6, -19/18, -2/3, 
  29/12, -53/36, 0, 389/144, 15163/864, 49/6, 151/144, -809/72, 13/4, 
  -79/144, -1001/288, 1/16, -1069/144, 689/288, 13/16, 3/4, -131/32, -25/16, 
  5/12, -913/384, -467/192, -53/96, 1435/384, 57/64, -23/96, 7/12, 1/8, 
  -59/48, 3959/576, -137/64, 139/192, 17/24, 5/4, 5/12, -19187/13824, 
  3691/384, 7/2, 60571/13824, 259/96, 211/192, -1105/96, 67/96, -2011/192, 
  -7/24, -158173/6912, 1/8, -11/12, 1559/96, 17/16, 113/36, -2087/576, 1/32, 
  -229/36, 1127/576, 199/18, 5/12, -499/144, -3/32, 337/288, 2729/576, 
  -1327/288, -15/16, 23/24, 31/18, 1/12, -149/36, 5683/576, 5/4, 155/36, 
  -365/36, -61/8, -67697/25920, -19679/864, 16081/960, 6349/1296, -487/72, 
  -2, 69/16, 622/27, -1/2, 3/4, -271/96, -499/32, -11/12, -1309/144, -49/48, 
  1/48, 7/48, 49/48, -3/4, 19/8, 67/96, -13/16, -55/8, -109/24, -1/3, -35/48, 
  53/16, 1/3, -47/96, 403/32, -1/8, 1/3, 43/32, 35/24, -6223/288, -227/48, 
  509/48, 299/48, -67/32, -9/8, 5/8, -2467/288, -3/8, -43/12, 125/24, 
  200893/960, -7/8, 175/48, 4603/72, 39/8, -1036319/5760, -1025/32, 
  -1657/160, 5729/72, -100357/1440, -10579/360, -367901/1440, 70609/1440, 
  109/48, 1/8, -89/24, 5/4, 5/9, 35/18, -13/18, 55/12, 835/48, 7/2, 
  21443/192, -23/32, -21151/192, -85/72, -997/288, 74357/320, 173/48, 
  -55223/240, -11/8, -236341/960, 103/32, 423/32, -5/8, -6901/64, 167/32, 
  11003/96, -232111/960, -439/96, 210677/960, 74167/320, 67/32, -1/48, 
  -2923/192, 779/64, 445/96, -67/24, 85/48, -43/16, -19157/192, -85/12, 
  18937/192, 9/8, -222061/960, 187/24, 95/144, 105221/480, 97/16, -103/72, 
  73357/320, -577/144, -61/36, 53/24, -35/24, -139/96, 22075/192, -23/12, 
  -20179/192, 209131/960, 245/24, -74919/320, -212741/960, -163/48, 3, 137/8, 
  -1287/64, -389/96, 5/12, -7/16, 6803/960, 239/96, 1599/80, -287/96, 
  -6729/64, -113/32, 19351/192, -53/24, 183/64, -6283/480, -235601/960, 
  -8759/240, 1131/5, 103/48, 5/2, 80367/320, -13/24, 5/6, 41/30, 1/8, 19/32, 
  -95/48, -121/16, -23/16, 29/40, 493/48, 97/12, 9/8, 5/4, 529/96, -9/8, 9/8, 
  5/12, 17777/1728, 223/96, -197/96, -14291/1728, 79/96, 157/96, 1481/576, 
  -13/16, 505/96, 21071/1728, 215/72, 617/288, 7/12, 467/96, 36229/5184, 
  48653/5184, -17/6, 200009/6912, 169/128, -763/192, -92749/10368, 13/32, 
  2171/144, -1453/288, 201329/6912, -45/8, 133/24, -4117/192, -3, 19/48, 
  499/96, 203/48, -137/32, -37/8, -5/12, -8761/2880, -19/16, 33/32, -745/192, 
  -199/96, 13/16, 11/12, 307/192, -7/12, 257/288, 343/48, -365/48, -109/32, 
  53/48, 39/4, -3323/960, -259/192, 6239/576, 5977/1440, 593/72, 59/12, 
  -147/16, -1123/96, 5/2, 5/4, -43/24, -3/32, -65/24, 9/16, -281/96, 9/16, 
  -69/16, 53/48, -17/6, 11/8, -115/48, 13/16, 5, 11/12, 5/12, 323/48, 2/3, 
  -17/8, -1/16, 163/24, 73/32, -19/3, -77/24, -3/16, -109/24, 16/3, -31/12, 
  11/8, 10/3, -25/24, -347/64, 61/48, 101/48, 477/64, -107/48, 37/24, 299/96, 
  -793/192, 1/8, -39331/6912, -1861/96, -63/32, 1429/64, 69797/2304, -5/4, 
  203/64, 21/16, -35/96, 239/64, 173/96, 229/96, 37/96, -71/48, 143/48, 
  557/192, -695/1152, -217/96, -1699/384, -23/12, -467/576, -2079/256, 
  -11/32, -10739/1728, 651/32, 907/64, 1817/128, -55/72, -1933/96, -4829/576, 
  -5/24, -1/4, -66821/2304, -425/288, -9/4, -17/108, 0, 55/216, 0, -7/72, 
  5/12, 113077/25920, 3/8, -2269/864, -153577/25920, -2645/288, -13/16, 
  -25/16, 4543/6480, 7/12, 29/108, 7/12, -113/144, 3/4, -11/16, 
  -112207/25920, 30709/1152, -13991/17280, -107513/25920, 5/12, 1/4, 19/6, 
  -343/288, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 
  -74/33, -669/220, 0, -19/4, 0, -55/18, -833/220, -33097/480, -4, 15727/640, 
  43/8, 1, 15727/640, 27/4, 7/2, -9/8, 0, 3/16, 0, -7/16, 0, 1, 0, -17/16, 0, 
  0, 1/8, 0, -5/2, -3/4, 1/3, 29/9, -97/32, 1/2, -19/8, 0, -2, 1/2, 3/2, -6, 
  -20435/96, 0, 19/8, -39/8, 0, 0, -8/3, 157/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 1, 8179/288, 49/48, 0, 0, 0, 0, 0, -3, -1/2, 0, 0, 
  0, -17/24, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1/2, 
  3/2, 0, 1, 0, 0, 1, 0, -7/3, -1/6, 1, 5/2, 8179/288, 8179/288, -1/2, 49/48, 
  0, 0, -193/96, -1/6, 1/2, -1/2, 10/9, 39/8, 7/192, 0, 1/2, -2863/330, 
  1797/220, 0, 0, 0, 0, 39437/2240, -702613/6720, 171/8, 0, 5/8, 0, -261/32, 
  -3/16, 0, 67/96, 0, 0, 3, -7/48, 0, 65/6, -1/8, 0, -17/48, 0, 9/2, 167/11, 
  2863/330, 1201/110, 1817/165, -1797/220, -75/11, 29/110, 0, 0, 0, 1953/220, 
  3, -1, 0, 0, -637/55, -95/24, 25/8, 0, -10, -527/60, 0, 5/2, 0, 0, 
  1087/220, 0, -8/9, 0, -109/990, 1269221/288, -878587/800, -2316887/9600, 
  -405117/2240, -1451/20, -6129/320, -1000067/6720, 57877/640, -313/8, 303/8, 
  -111607/640, -194557/300, -15504881/9600, 4967083/7200, -6346783/3600, 
  -452863/640, -104/3, -109/4, 1105/8, 793/8, 39807/640, -279/8, -53/8, 
  1107/8, 5, 1/8, -14937/160, 54319/480, -61393/960, 62847/320, -83011/1920, 
  -83/16, -26467/1152, -15769/1152, -47/32, -23/16, 3, 1, 83/96, -43/4, 
  -125/12, -1825/192, 509/192, -9/2, -293/96, 931/96, -77/48, 37/48, 107/96, 
  -99/32, -3, -1/2, -95/24, -3/2, -1, -95/24, 0, 263/24, 341/32, 543/32, 0, 
  -1/4, -7/8, 463/96, 2831/384, 1693/384, 1633/192, 589/192, -49/16, 43/48, 
  17/8, -1/96, -227/96, -49/96, 11/48, -7/48, -269/48, 0, 0, 99655/3456, 
  138127/4320, 0, 0, -16/9, -58/9, -61751/5760, 16/9, -86297/3456, 
  -44825/3456, 0, 3, 0, 99655/3456, 0, 0, 138127/4320, 0, 16/9, 58/9, 
  -16477/270, 0, -103111/3456, 98503/3456, -99655/3456, -94471/3456, 
  -97927/3456, 0, 0, 31/12, -138127/4320, 0, 0, 16/9, -26/9, 727/36, -34/9, 
  745/36, -18299/540, 173/32, 9677/288, 5471/576, 2849/576, -7, -3, 1/2, 
  18695/288, -2357/192, -25/12, -38429/576, -33925/576, 289/192, -16/9, 
  -92441/3456, -113177/3456, -90713/3456, -94169/3456, -9/2, 0, 17/6, 3, 0, 
  16477/270, 3, 8171/135, 3, -23/6, -391769/48, 7517/240, -1319/60, 
  -13802321/5376, -312552347/26880, -943141/2400, -2193285517/134400, 
  1174781/5376, -500837/160, 1332441/160, 103249/160, 169/32, -36693/280, 
  -102143/1680, 15215/192, 0, -19/8, -5509/64, -13165/192, -93/32, 3677/224, 
  78263/4480, -842329/13440, 2579/48, -65/24, -25207/240, 0, 0, 0, 0, -29/18, 
  -41/96, 1/2, -1/2, -3/2, 29/18, 39/8, -475/96, 0, 0, 1/2, 0, 1/2, 0, -22/3, 
  0, 0, 0, 29/18, -71/96, -22/9, -133/24, -18859/2970, -3340/99, 
  781139/15840, -12335/594, 202909/5940, 827/96, 229/48, 43/48, 611/48, -8/3, 
  481/24, -6, 0, 79/24, -75/8, 11/2, -193/24, -10535/96, 89/96, 0, 0, 241/48, 
  -965/288, 1285/576, -179/48, -419/24, 0, 0, 7/8, 19/12, -307/48, -73/48, 
  13/6, -1/12, 0, 1/48, 0, -1/2, 5/18, 1/3, -43/4, -5/4, 0, 37/4, -163/96, 
  -53/6, 17/3, -11/6, 1405/32, -541/96, 2, -1, -35/4, -3/2, 229/24, -127/24, 
  -1715/192, -893/24, 329/32, 121/3, 3/4, 3/4, 35/4, -3/4, -23/32, 77/12, 
  343/48, -81/8, -35/6, -81/8, -1073/72, 101/12, 211/24, 52/9, -12247/240, 
  -15101/720, 2543/60, 6778/135, 91/48, 31/6, 53/16, 887/192, -199/48, 
  -8035/192, -1/2, 8131/192, 0, -8035/192, -3949/96, 59/24, 4195/96, -1/6, 
  -4171/96, -349/36, 6763/360, 119/12, -12415/288, -34871/1440, -10033/240, 
  -1807/180, 1181/30, 66013/1440, 8101/864, 503/72, -6823/720, -167/24, 
  55619/1440, 4159/288, 193/64, -193/64, -193/64, 61/864, -305/288, 
  -11909/1152, -3/16, 12053/1152, 513/64, 7/6, 395/96, 8/3, 61/864, -197/288, 
  69073/2304, -11429/2304, 223/864, 9373/2304, 62401/2304, 5/36, 3, -13/18, 
  17/36, 0, 12187/1728, 0, -83/384, 16/3, 0, 1615/72, 2/3, -7/4, -5/12, 9/2, 
  0, 10/3, 0, -1633/288, 0, -25/192, -4/9, 0, -869/216, 107/36, -865/144, 
  31661/432, 685/216, 0, 175/12, 539/48, 0, -12821/660, 745/96, -197/16, 
  287/48, -415/24, 0, -503/48, 0, 2769/440, 1/12, -23/8, 83/8, 109/110, 1/2, 
  16429/1584, 1553/330, -59/18, -221/36, 0, 39/8, -617/72, -5/3, -39/8, 
  -6895/48, 1407/4, 52699049/28800, 8656733/3600, -35346773/7200, 
  -9864569/3600, -1076711/1200, -823/24, -3769/32, 4167/64, -155/24, 
  -18229/192, -3761/24, 117/16, 310099/3840, -65/8, -170857/3840, 25/24, 
  2803/16, 7333/48, 333/16, -3593/16, 47/12, 8045/96, 199/48, -617/4, 
  -9101/96, 3457/160, 747/10, 54649/480, 88721/960, -109/15, -86987/480, 
  -109591/960, 9331/192, 1063/128, -6065/96, 81/64, 379/108, 317/288, -7/8, 
  -1487/128, -4/3, -16237/3456, 17531/2304, 0, -5189/2304, -162629/6912, 
  882035/13824, 73/16, 27547/768, -32213/2304, 899675/13824, -15727/4608, 
  1/24, 49801/4608, -3619/216, 625/144, -305/24, -1034/45, 4/3, -6961/1152, 
  89/128, 0, -19141/1152, 535/108, 14981/1440, 695/288, 2731/384, 499/320, 
  -707/192, 1049/192, 13243/128, -11/32, -1015/192, -2/3, 1313/96, 71/8, 
  -5/4, -469/96, 89/8, -6941/384, 4983/128, -2213/96, -10/3, 4645/576, 
  -355/24, 1469/72, -1105/72, 0, -5029/1152, 313/4608, 0, 5411/4608, 
  211169/13824, -1784237/13824, 235033/2304, 5191/432, 4337/4608, 
  66413/13824, -1757309/13824, 497471/4608, 5591/216, -2489/192, 7/24, 
  151/32, -1921/288, -47/192, 1, -49799/6912, -75139/6912, -49/32, 0, 
  6583/2304, 5929/576, 0, -7987/2304, -156367/17280, 5983463/34560, 
  -44485/6912, -661547/17280, -47555/768, -23/8, 24037/6912, 53/48, 
  -1469/576, -16189/6912, 89629/2880, -4136119/7200, 1696459/13824, 
  -319/3456, -239321/6912, 0, -62977/13824, -5/6, -1/72, -998111/5400, 
  -89629/2880, 963947/4800, 4142119/7200, 1/6, 0, 56/3, 0, 23/4, -29143/1536, 
  -156151/6912, 8551/4608, -3/4, -35/36, -183983/4608, -392143/13824, 
  -87895/6912, 98879/4608, -421/72, -98717/7200, 95/24, 96617/7200, -1/72, 
  29441/21600, 7007/960, 5537/576, -6569/144, -3353843/10800, -34609/21600, 
  -2624299/43200, -2491/120, 677983/14400, 5708771/21600, 5/6, 27773/3600, 
  -5/2, -23449/1800, -389/144, 491/54, -185/64, 3043/288, 1687/864, -153/4, 
  -4027/108, -185/128, 27139/576, 5383/1728, -1027/24, -8363/216, -395/384, 
  15307/576, -12449/1728, 1547819/13824, -4406401/69120, 115/1536, 
  209573/8640, -3260429/69120, 4373/384, -503/288, -5237/432, -33/2, 
  15493/864, 145/96, -1501/864, 25/4, -2435/1152, 1/3, 59/288, 
  -2622811/207360, -1102975/13824, 11590799/207360, -94283/6912, -34081/1728, 
  56347/6912, 121247/6912, -518821/12960, -33/8, -3721/432, 87/16, 
  81395/6912, 63637/103680, -425905/6912, 3587/216, 383849/4608, -86639/3456, 
  -18307/864, -142075/13824, 3047/432, 1329731/13824, -3007/384, 
  -18043/13824, -76861/6912, 2401/288, -42547/1728, -7715/864, 16965/512, 
  19531/6912, -827/288, -957/32, -26365/1728, 418711/13824, -11/4, -29/6, 
  3/4, 1/4, 65761/8640, -4373/64, 28573/4320, 7523/432, 62521/17280, 
  33431/640, 27493/8640, -2587/30, -336983/4320, 1470333/12800, -504149/7680, 
  -1157857/69120, 20587/432, -109376489/345600, -15/4, 245/72, 91/24, -29/72, 
  -253/36, -100200757/6400, 295009/480, -3621683/2880, 9171/40, 
  -195110341/19200, 24897/160, 13980331/2880, 7555/1152, -19057/1152, 65/12, 
  13/6, 7699/1152, -145/24, -1, 17703/320, -497/128, 599/12, -39611/960, 
  -34693/320, 93883/2240, 6063/32, 791/64, 1063/648, 793/384, -52555/576, 
  1903/288, 57565/576, 54347/576, -3, 1533/64, 1327/72, -3223/192, 165/32, 
  10277/192, 52843/576, 1603/1440, -85907/960, -203911/2880, 3, -2093/108, 
  -469/180, -77/144, 1877/1440, 13453/270, -153647/10368, -166001/10368, 
  -16553/864, 10853/216, -65767/5184, -12361/1296, -21797/3456, -37/12, 
  -89/12, -63/64, 421/32, -767/96, -1421/48, 49/12, 2921/192, -1655/192, 
  -2/3, -15/4, -141/32, 101/6, -211/4, 81/64, -23/24, 57245/3456, -49/72, 
  593/288, 2143/144, -551/288, 138977/3456, -7713/256, -1865/576, 
  -40727/1152, 391/432, -1757/480, -111611/2160, 238/27, -163/1440, -845/576, 
  31/12, 37399/576, -62083/8640, 221/216, 899/96, 300349/8640, 3217/720, 
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  -21/8, -25/8, -107/24, 63/16, -1/3, 5/3, 109/24, 1/3, -7/8, -69/16, 11/8, 
  -27/16, 47/12, 6, 5/16, -73/24, 27/8, -27/8, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 
  0, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, -2, 0, -1, 0, 0, 0, 1, 
  0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 27/8, 0, 0, 0, 0, 0, -1/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/2, -3/2, -3/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7/4, -3/4, -23/8, 5/2, 27/8, 7/6, 
  -5/4, -1/2, 0, 7/6, -1/2, -5/4, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -13/6, 0, 13/6, 0, 0, 13/3, 0, 0, 0, 0, 8/3, 2/3, 0, 1/3, 0, 
  3/2, -1/2, -2/3, 0, 1/6, 0, 3/2, 7/6, 7/6, 3/2, 0, 0, -1/2, 0, 1/3, 1/2, 2, 
  0, 0, -35/18, 0, 2/3, 0, 3/2, -1/3, -3, 2/3, -2, 0, 4/3, 0, 0, -15/2, 3/4, 
  47/6, 15/2, 3/2, 1, 5/4, -3/2, 15/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/3, 1, 1, -5/3, -5/3, 1/3, -5/6, 5/6, -2/3, 0, 0, -1, -1, 0, 0, 0, 0, 1, 
  2, 1/2, -3/2, 0, 0, 9/2, -9/2, -9/2, 0, -3/2, -1, 0, 0, -1/4, 7/4, 23/8, 
  41/8, -9/8, -29/12, 29/8, -23/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 
  -45/2, -1/2, -40, -35/2, 0, -5/2, -5/2, 0, 1/2, 45/2, 35/2, 5/2, 0, 0, 7/2, 
  0, -5/2, 0, 0, -3/4, 9/4, 0, -3/2, 6, -5, -13/2, -21/4, -3/4, -1/2, 3/4, 0, 
  1/2, -7/4, 1/2, 7/4, -1, -2, -21/4, 9/4, -21/4, -3/4, -1/2, -1, 0, -5/4, 
  -13/4, -5/2, -5/2, 17/6, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 
  -1/4, 0, -7/24, 1/8, 7/12, -5/8, -1/4, 5/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 3/4, 0, 0, 0, 0, -1/2, 0, 0, 2/3, -2, 5/6, 39/8, 4/3, 8, 0, 0, 7/12, 
  -1/8, 1/2, 0, -1/4, -35/24, 15/8, -7/4, 5/8, -5/8, 1/4, 7/6, -23/16, -5/3, 
  -25/24, 13/12, -13/8, 155/16, -1/8, -11/4, 1/4, -1/4, 3/4, 0, 0, -17/12, 
  25/12, -17/12, 5/6, 49/24, 7, -69/16, 3/2, 201/16, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -79/24, -3, 0, 167/96, 0, 79/24, 315/16, -131/24, -81/8, 0, 
  21/32, 0, 21/32, 0, 0, 0, 0, 353/96, 0, 0, -13/3, -1/2, 5/2, -2, -97/48, 
  -37/16, 0, 0, 119/32, 27/8, 0, 1/4, 0, -17/4, 0, 0, -119/32, -203/32, 1/4, 
  115/32, 95/32, 1/6, 0, -1/12, -1/3, 1/9, 5/18, -5/6, -1/3, 2, 13/12, 0, 
  15/2, 85/36, -1/2, 5/18, -1/2, -2, -1/4, -3/4, 1, 3/2, 7/12, 1/2, -23/12, 
  -11/4, 169/36, 13/3, -143/36, 1/2, -1/2, -1, 1, 1/6, 19/4, -2, -9/4, 4, 
  -1/4, 1/2, 17/4, 5, -1/2, -14/3, -1, -91/12, 1/6, 9/2, -1/4, 25/4, 5/2, 
  1/2, 9/4, -4, 1/4, 3/2, -1/4, 0, 9/2, -1/4, -11/2, -3/2, 11/2, 5/3, 19/3, 
  0, 21/4, 11/2, 3, -3/4, -13, -47/4, -5/8, 115/12, 5, -3/4, -9/8, 13/6, 3, 
  -7/6, -5/4, 3/4, 7/3, 17/8, 1/2, -15/4, -45/8, 25/6, 3, 0, 5/3, -37/6, 0, 
  10/3, 0, -5/12, 101/12, -37/12, -5/2, 16/3, 125/12, -7/3, -19/2, 11/4, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -59/6, 0, -1, 1/36, 1/6, -1, -31/12, 
  -11/36, -9/4, 0, 1/4, 5/18, 13/12, 35/36, -25/12, 14/9, -1/9, -11/36, 3/4, 
  0, -5/3, -1/12, 0, -3/4, -7/4, 0, -1/2, 19, -1/4, -5/12, 11/12, 107/60, 
  53/36, -1/2, 9/2, -11/12, -9/2, 17/12, -103/20, -127/30, 377/60, 1027/180, 
  -35/4, 9/4, 5/4, -1/4, 0, 0, 0, -17/5, 3/4, 103/20, 0, -45/4, 9/4, 109/10, 
  -69/4, 2, 5, 3/4, 103/12, 0, 0, 1/2, 3, 3/2, -8, -3/2, -1/2, -7/3, -25/12, 
  133/12, 11/6, -13/8, 33/8, 0, 0, 33/4, 9/2, -3/2, -6, -35/4, -5, -79/4, 
  -13, -1/4, 23/2, -15, 3/8, 81/8, 15, 0, -1/4, 1/8, -121/48, -13/4, 103/48, 
  47/8, -33/8, 119/96, 83/16, -1/2, -57/16, -353/24, 15/2, 3083/288, -43/6, 
  23/16, 3/2, 5/12, -139/32, -293/32, -1/32, -227/96, 163/144, 1459/192, 
  217/96, 1/4, 15/4, 5/12, -91/32, -349/32, 1/32, -2, 163/144, 307/64, 
  217/96, 47/16, 23/8, -17/16, -277/96, -25/16, 0, 0, 0, 0, -9, 9, 1/2, 1/6, 
  -1/6, -9/2, 25/9, 0, -9, 0, 0, 481/30, -3/2, -707/60, 0, 9, 0, 0, 0, -7/4, 
  -21/4, -1/4, 1/2, -1/4, -1/3, 10/3, 55/36, -5/2, 2/3, -1/2, 0, 4, 6, 1/3, 
  -47/12, -1/3, -9/4, -27/8, 9/4, 0, -1/6, -15/4, 21/4, 0, -23/12, 33/4, 0, 
  7/12, -5/4, 0, 5/12, -11/4, 5/6, -125/12, -35/6, -5/12, -5/4, -31/12, 
  -1/12, 1/6, -3/4, -12, 4/3, 9/2, 25/4, 0, 59/4, 34/3, 11/6, 9/2, 27/4, 
  -27/4, -9/2, 0, 0, 7/4, 39/8, 3/8, -41/8, -39/8, 1/4, 27/8, -5/8, 1/24, 
  -71/12, -19/8, -1/12, 169/24, 13/24, 11/24, 61/12, -107/24, -1/2, -9/8, 
  -13/8, 3, 13/8, -15/8, 47/12, 41/8, -55/24, -67/24, -4, 4, 4, -1/4, -55/16, 
  -23/4, 85/32, 351/32, 67/12, 57/32, 0, -11/8, 37/48, 29/12, -287/64, 
  -109/36, 1/2, -11/48, 19/36, -10, -3/8, 5/6, 11/3, -77/72, 43/8, -3/4, 0, 
  9, 0, -9, 0, 0, -161/80, -1, 31/48, 701/80, -49/48, 5/48, 101/48, -53/24, 
  -145/144, 0, -9, 0, 27/4, 0, 0, 0, 0, -7/8, -21/8, 0, 5/2, 21/8, -1/4, 
  -13/8, 1/4, 0, 61/24, 21/8, 1/3, -5/3, -1/3, 7/8, 6, -9/4, -6, 11/8, 
  -47/12, -6, 73/24, -27/8, 27/8, 27/8, 0, -1/8, -17/8, 0, -1/2, 3/2, -1/3, 
  3/4, -1/3, -2/3, -1/6, 13/12, 1/2, 0, 5/2, -21/8, 1/3, -31/12, -1/3, -9/4, 
  27/8, 9/4, 0, 0, 0, -43/8, -31/4, 1/4, 3/2, 73/8, -5/8, -21/8, 1/4, 1/3, 
  23/12, 32/3, -1, -5, 13/6, -1/3, -7/2, -7/12, -2/3, -9/4, 61/8, 189/8, 
  65/8, -7, -7, 29/12, -545/24, -187/24, 47/12, -9/2, -53/4, 25/4, 35/4, 0, 
  0, 5/4, 5/16, 0, -1/24, -25/8, -1/4, -27/32, 1/2, 1/2, 7/12, -1/3, 23/16, 
  -7/12, -1, -1/6, -7/24, 1, 37/8, 19/12, 25/8, -31/8, 1/3, 9/16, 23/12, 
  7/24, -7/2, -81/32, 81/8, -25/12, -27/4, 0, 0, 0, -11/8, 125/48, -27/32, 
  -31/32, 5/32, -5/2, -1679/144, -513/64, 31/12, 1/4, -69/10, -117/16, 5/24, 
  17/80, -17/24, -5/12, 5/3, -67/10, 0, -4/9, 0, 0, -21/32, -21/8, 1/4, 
  239/64, 223/64, -1, 7/8, 3/4, 1/6, 5/3, -5/8, -243/64, 17/6, 1/3, 25/24, 0, 
  41/32, 6, -517/64, -145/16, 13/8, -1/6, -271/96, 1993/192, 1/6, -5/8, 
  -123/8, 285/64, 119/24, 27/4, 0, -3/8, 3/8, 11/24, -1/8, -43/24, -3/4, 
  11/24, 5/6, 1/8, -1/12, 2/3, -7/12, -5/24, 1/24, -1/8, -19/8, 7/2, 11/4, 
  17/2, 23/8, 23/8, -17/4, -47/8, -1/2, -31/24, -19/4, -17/8, 11/8, 0, 1/4, 
  29/16, 73/24, -13/32, -179/32, 0, -29/32, 3/2, -185/48, -137/36, 181/192, 
  -11/6, -3/2, 163/48, 11/6, -49/8, -11/8, -1/8, 16/3, 25/12, -5/3, 12, 19/8, 
  -29/6, -27/4, 1/12, 7/4, 47/8, 2/3, 37/8, -9/8, -1/8, 101/80, -51/8, -9/16, 
  -1903/240, 61/48, 79/48, -37/48, 31/24, -89/144, -1/12, -37/12, -5/8, -1, 
  113/24, 1, 53/24, -12, -31/4, 27/4, 0, 55/24, 5/12, 21/8, -5/8, -63/8, 
  -21/4, 1, 125/24, 1/8, 3/8, -17/24, -1/12, 19/6, 199/24, -87/8, -47/24, 
  -11/4, -35/8, 11/6, 23/6, 77/24, -6, -77/24, -1/8, -27/8, -143/12, -5, 
  -41/6, 8, 5/2, 27/8, -75/8, -1/2, 0, 0, 0, -1/8, 5/16, 1/8, -5/24, -17/48, 
  -1/2, 0, 3/8, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 0, 0, -1/2, -17/8, 0, 0, 
  29/24, 0, -1/3, 0, 1/4, 95/48, 5/12, -89/32, -2899/288, -1/4, -1/32, 5/9, 
  -1/4, -55/48, -61/108, 869/192, -17/108, -11/36, 43/48, 11/27, 13/2, 17/9, 
  3/4, -121/24, -47/24, -23/27, -31/2, -81/8, 115/18, 23/2, 0, -41/40, 31/24, 
  41/40, -31/24, -1/4, -61/48, -25/24, -43/48, -65/16, 79/48, 17/48, 61/144, 
  157/40, 73/144, 1/8, 49/10, -9/8, 15/8, -21/8, -9/4, 31/12, -319/60, -23/6, 
  -4/3, -16, 161/8, 115/8, 19/3, -23/2, -1/8, 25/8, 15/4, -1/8, -5, -17/4, 
  1/8, -7/8, -1/8, 3/4, -13/2, -21/8, -14/3, -4/3, 47/24, -43/24, 7/8, 41/6, 
  7/6, -5/8, -17/2, -41/4, -1, 71/8, 179/24, 61/8, 125/8, -41/6, 25/4, 4, 
  -25/4, -1/8, -1, -175/24, 13/32, 47/32, 179/24, -45/32, -33/4, -25/16, 
  157/48, 1609/288, -1397/192, -1745/288, 319/96, -155/48, 613/96, -99/32, 
  -53/32, 21/4, 375/32, 129/32, -35/4, 913/192, -71/24, -531/64, -71/96, 
  -29/32, -12, 121/32, 205/48, 27/4, 0, 3/2, 0, -3/2, 0, 1/4, -2341/720, -3, 
  19/48, 1261/720, -7/48, -151/48, 137/48, 769/360, 329/144, 0, -13/4, -21/4, 
  0, -7/2, -1/2, 7/4, 12, -11/4, -27/4, 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, 1/2, 0, 0, 2, 0, -1, 0, 0, 
  -2/3, 0, -1/6, 0, 0, 0, 0, 0, 0, 0, 16, 0, -12, 0, 0, 1, 0, -1, 1/2, -4, 0, 
  -4, -3/2, 0, 5/2, -3/2, 0, 0, 0, 0, 0, 8, 0, 4, 8, 0, 0, 0, -9/2, 0, 16, 
  41/2, 49/12, 5, -7/4, 0, 31/4, 189/8, -157/4, 99/8, 0, 0, 0, 0, 0, 0, 
  147/4, -129/4, 9/2, 93/4, -19, -1/2, -217/12, 5/2, 0, 0, 0, -1/2, -3/2, 
  -5/6, 1, 0, 0, 0, 369/2, 0, 0, -369/2, 45/4, 117/4, -143/12, -18, -162/5, 
  0, -27/2, 0, -1, 1/3, 0, -78/5, 0, 1241/20, -911/20, 807/5, -41/5, -807/5, 
  -762/5, 25/2, 0, 39/5, 0, -1677/10, 97/2, 0, 1/2, 0, -5/8, 0, 0, 0, -14/3, 
  2, 0, 0, 0, 0, 0, 0, -15/4, 5/6, 3/4, 0, 0, -297/16, 57/8, -18, 0, -217/8, 
  -547/24, 0, 217/8, 0, 0, 0, -7, 11, -1, 0, 0, 0, 1/2, 0, 1, 1/2, -21/2, 
  -4717/96, 8359/96, 41/32, 0, -1/12, 5/6, 0, 0, 0, 0, -9/4, 0, 5/6, 0, 0, 0, 
  -5/8, 0, 0, 25/8, 0, -14, 0, 0, -2, -1327/96, 2285/96, 3879/32, 1901/96, 
  -1579/96, 7/12, 7/6, -7/2, -1/4, 13/2, -1511/48, -2353/48, 65/16, 815/16, 
  -445/48, 0, -185/3, 0, 0, 13/6, 0, -65/6, 0, -23/2, 43/16, -26, 89/16, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -7/18, 1/3, 37/6, -35/12, -11/2, 0, 0, 3/4, 
  -7/18, -1, 2/3, 0, 0, -5/4, -3/4, -1/2, 0, 2/3, 0, 1, 1, 0, 1, 0, 0, 
  -1189/12, 203/3, 1637/24, 301/4, -1189/24, 185/6, 1637/48, 301/4, -1913/48, 
  -2791/48, 161/12, 4601/96, 4457/48, -1139/48, -2599/48, 56/3, 4429/96, 
  5387/48, 0, 0, 0, 0, -1/2, 0, -2445/16, -371/8, -1467/32, -963/16, 
  -2373/16, 193/16, -253/96, -1011/16, 1623/20, 347/20, -2303/20, 0, 2973/20, 
  -27/2, -3773/20, -1669/20, 13/12, -9/2, -271/8, -11/4, -43/48, 57/8, 
  -59/12, 103/8, 115/24, 17/6, 31/4, 365/16, -4, -263/24, 123/8, 0, 1, 
  -23/48, 23/8, 347/144, -71/24, -1/2, -5/12, 5/3, -1/3, 273/20, 25/18, 69/5, 
  117/8, 0, -1/9, 6, 0, -271/96, 0, 1/9, 53/8, -22/3, -45/8, 47/8, -3, 35/2, 
  -27/4, 5/4, 97/12, 205/12, -3, -3/2, -479/24, -1, -7/4, -133/36, 3, -11/18, 
  1/4, 45/4, 1/2, 79/4, 73/4, -197/4, 5/4, -59/12, 5/12, -5/12, -11, -29/2, 
  257/4, -5/12, -15, 0, 401/4, 119/2, 1/4, -247/4, 0, 1/4, -187/2, 127/36, 
  5/3, -401/4, -217/4, 123/4, 209/2, -21/4, -3/2, 9/4, 45/2, 73/4, -45/2, 
  355/24, 13/8, -61/2, -383/24, -15/4, -91/4, -179/12, 0, 73/8, 1991/72, 
  -47/3, -1991/72, 109/24, -725/72, -3, 277/72, -19/36, 70/9, 737/24, -35/4, 
  -355/72, 17/24, -1, -198/5, -32, -13/12, 198/5, 25/12, 139/40, 1603/30, 
  -9307/120, 49/360, 449/8, -111/4, -301/8, -217/4, 91/8, -9/8, 2, 33/8, -3, 
  -11/2, 37/8, -5/2, -89/12, -7/2, -133/8, 133/8, 133/8, 7/8, -41/96, 11/16, 
  0, -9, 0, 18, 0, 9, 0, -5/24, 13/12, -109/48, 89/72, -3/8, -17/12, 545/72, 
  -2465/144, -113/36, 497/72, 0, 11/4, -34/3, 5, 3527/72, -5, 505/32, -7/16, 
  1/2, -5/24, -31/24, -31/6, -117/20, 71/18, 21/4, 71/144, -99/8, 373/32, 
  298/9, 95/8, -13, -587/96, -10819/288, 115/12, 1679/72, 695/48, -5465/96, 
  -229/144, 547/48, -11/24, -101/24, 95/16, 143/24, -37/48, -115/24, -89/12, 
  21/16, 223/48, -121/8, 0, 23/4, 569/24, -35/6, -2915/72, 17/2, -115/16, 
  -719/16, 157/96, 189/16, 1/2, 23/12, -35/12, -1/6, -407/30, 11/18, -351/20, 
  337/40, 13/3, -127/8, 3, 307/96, -73/32, -15/2, -35/24, 17/6, 275/96, 
  -195/8, 559/32, 689/32, 0, 23/8, -113/24, 39/8, 2371/72, -121/24, 493/32, 
  -23/16, -1/4, 469/30, -111/16, 5/8, -5209/160, -11/8, 71/24, -3371/240, 
  -37/12, -97/24, -949/60, 173/32, 559/32, 267/80, -1337/32, -7/24, 
  -3311/192, -79/64, -2423/192, -1803/64, 299/32, 29/12, 3383/192, 1733/192, 
  -55/24, 1121/24, 253/192, -3109/64, -499/8, 607/48, 1, 45/4, 381/16, 
  151/64, 141/64, 5/32, -71/6, -967/48, -6491/192, 133/12, -869/64, -443/64, 
  1597/192, 1381/96, 635/192, -3/4, -1/2, 2, 23/12, 227/12, 0, 69/5, 117/8, 
  1, -47/12, -11/18, -11/12, 89/36, 2/9, -1/6, 71/36, 5/36, 0, -1/2, -11/36, 
  1/2, 107/6, 7/36, 1/36, 13/8, 51/8, 29/12, -33/4, -29/4, 17/6, -19/8, -1/3, 
  247/12, 1/12, 7/4, 0, 17/36, -4, 11/36, 1/8, -839/36, -473/18, -9/2, 
  -53/36, 33/8, -259/18, 130/9, 79/9, 1021/72, 215/32, 809/96, -59/3, 
  -1039/48, -99/8, 112/3, -403/64, 673/72, 3/16, -877/96, 2809/48, 659/96, 
  -381/8, -4549/192, -43/32, 1, -73/12, -367/24, 1/3, 239/120, -1/3, 53/10, 
  332/15, -179/120, -313/360, 31/12, 251/12, -29/24, -15/2, -73/8, -3/8, 
  -259/40, -13/16, 15/4, 703/80, -13/8, 27/5, 219/80, -3559/240, -141/20, 
  -1/2, 74/5, 35/3, 25/48, 561/80, 41/48, 11, 1835/72, 12727/480, -103/9, 
  -27/16, -5/2, 499/48, 45/32, 5/32, -21/16, 179/96, -3491/288, -425/96, 
  169/48, -329/32, -265/48, 7/12, -371/24, -13405/96, -1807/96, 25/576, 
  -2137/144, -143/18, 2759/288, -1955/48, -329/12, 523/24, 18373/288, 
  -455/48, 1/2, 243/20, -30, -10/3, 1103/40, 31/12, -733/40, 2677/60, 
  -491/60, -499/45, -698/15, 27/4, -3, 509/20, 41/2, -5/8, -7747/360, 
  -529/36, 511/96, 2401/480, -337/96, 2531/720, -38209/720, -45161/576, 
  139/720, 0, -145/12, -135/4, 1037/40, -107/4, 96, 0, 2, 0, 451/16, -119/16, 
  0, 0, -41/8, -52/3, 105/2, 3499/20, 25/2, 13/4, 251/32, 2149/96, 2995/64, 
  -1165/96, -2813/40, -12143/120, 8399/80, 159/4, 2569/24, 4781/96, -307/24, 
  -2647/192, 83/8, 741/8, 985/8, -21307/180, -2615/24, 123/8, -121/8, 15/2, 
  -10/3, 6, -11/6, -353/12, 17/9, -187/24, -243/8, 561/16, 6661/24, -7603/48, 
  -13969/96, -1317/16, 0, -3709/96, 2271/40, -65/4, -437/40, 253/4, 
  -64727/960, 6127/144, 48197/960, -8825/192, 4921/48, -377/3, 1077/32, 
  -1171/192, 5027/96, 207/10, 697/16, 5/16, 351/16, 809/12, 461/8, -3859/40, 
  -273/5, -59/2, -639/40, -525/8, -501/40, 229/48, -413/8, 523/24, 3169/48, 
  49/24, 63/8, -229/16, -6163/96, -17227/48, -6235/48, 5449/192, 3931/32, 
  -2411/32, 4631/480, 999/5, -1661/160, -389/48, 18629/96, 973/48, 309/32, 
  569/96, 2489/40, -4283/360, 40/3, 1/4, 11777/192, 34255/192, -286439/1440, 
  -108267/320, 2169/32, 127/2, 9251/40, 45031/320, 108437/320, 0, 0, 0, 0, 0, 
  0, -3/2, 0, 0, 0, -3/2, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/4, 
  -3/4, 0, 1/4, -1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 3/8, 3/8, 0, 0, 0, 0, 0, 3/8, -3/8, 0, 0, 0, -1/4, 1/4, 0, 0, 1/4, 1/4, 
  -1/4, -1/4, -1/4, 0, 0, 1/2, -1/4, -1/2, 0, 0, 0, 1/2, -1/4, 0, 1/4, 1/4, 
  0, 0, 1/2, 1, -1/2, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/8, -1/2, 
  -1/4, -1/2, 1/8, 1/4, -3/8, 3/8, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 7/8, 3/8, -3/4, 1/8, -1/3, -3/4, -7/24, 1/4, -11/8, 0, -1/8, 
  25/24, 0, 0, -1/16, 0, -5/16, 1/8, 0, 1/8, 0, -1/8, 0, 0, 0, -7/16, 0, 
  -1/2, 7/8, -1/16, 7/16, -1/16, -1/12, 11/48, -1/12, 1/2, 13/48, 1/12, 1/12, 
  0, 1, 0, 5/8, -11/16, 1/16, 1/12, -19/24, -5/6, -1/12, -9/16, 0, 0, 9/16, 
  0, -7/8, 1/8, 7/8, 0, 3/8, -1/8, 1/6, 11/24, 11/24, 1/8, -7/24, 0, -7/24, 
  -7/24, -1/6, -9/8, 7/8, 0, 9/8, -11/8, 1/8, 7/12, -19/12, -5/12, 13/24, 
  -9/8, 0, 0, 9/8, 0, -7/8, 0, 3/4, -1/4, 5/8, 11/24, 0, -1/24, 0, 0, -7/24, 
  -11/24, -1/6, 0, 7/8, 0, -1/2, 1/4, -19/12, -17/24, 17/24, 0, 9/8, -7/16, 
  0, 3/8, -1/8, 0, 11/48, 0, 17/48, 1/16, -1/16, 5/16, -1/16, 1/12, -1/12, 
  -1/24, -1/12, 0, 7/16, 0, -1/4, -19/24, 13/48, -7/16, 1/16, 1/12, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 0, 3/2, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -3/2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, -3, 0, 0, 
  3/2, 0, 0, 0, 0, 0, 0, 0, 0, -5/2, -1, 0, 0, -1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 
  0, 1, 0, 1, 1, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, -1/4, 0, 
  0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 
  1/2, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -1/8, -1/8, 1/4, 0, -1/8, 0, 1/8, 0, 0, 0, -1/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 2, 1/4, -3/2, -3/4, 0, 7/4, 0, -3/2, -1/4, 0, 0, 0, 0, 
  -1/2, 21/2, 1/2, 5/2, -13/2, -10, 1, -5/2, 13/2, 15/2, 10, -6, 0, 15/8, 
  17/8, 1/2, -5, 0, 5/8, 0, -21/2, 15/8, -19/8, -19/8, 9/4, 0, -19/8, 0, 
  -5/8, 0, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, -7/4, 0, 0, -1/8, 1/4, 
  -1/4, -3/2, 5/4, 0, 0, -5/4, 5/4, 0, 0, 0, 0, 0, 0, 0, 3/4, -3/8, -9/4, 
  3/8, 5/8, -5/4, -3/4, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 
  1, 0, 0, 0, 0, -1/4, 3/4, 1/2, 0, 3/4, 1, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, -3, -3/2, 1/2, 5/2, -3/2, -3/2, -1, 
  5/2, -5/2, 1/2, 71/8, 10, 11/8, 5/2, -19/2, -79/8, -10, 29/8, -3/2, 39/4, 
  55/8, -1, -57/8, 3/2, -29/4, -67/8, 1, 83/8, 3/4, -3/2, 0, 0, -1/8, -1, 
  1/2, -1/2, -5/4, 9/4, -1/4, 3/8, -3/4, -1, 0, 13/8, -13/8, -3/8, -9/4, 
  -3/4, 5/8, 15/8, 0, 0, 0, 0, 1/8, 3/8, 1/8, -1/4, 0, 0, 0, 0, -1/2, 1/4, 
  1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, -1/4, 3/4, 0, 0, 
  0, 0, -1/4, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, 
  -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 3/8, 3/8, 0, 0, 0, 
  0, 7/12, 3/8, -3/8, -5/18, 1/3, 0, -1/4, 0, 1/4, 0, 1/2, 0, 1/4, 1/4, 2/9, 
  -1/4, 0, -15/4, 8, 0, 15, 0, -1/4, 1/2, -1/2, 3/2, 0, -1/2, 0, 0, 13/2, 0, 
  5/4, 3/8, 0, 1/4, 11/8, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 7/8, 1/4, 
  7/16, -7/8, -7/16, 1, -3/8, -23/16, -1, 9/8, 5/8, 7/8, -9/8, 0, 0, 1/4, 0, 
  0, -5/8, 3/16, -1/4, 0, -1/2, 9/16, 1/4, 0, 15/8, -11/8, 11/8, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 5/8, 1/8, -1/2, -9/8, 0, 3/16, -3/16, 39/16, 
  9/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, -3/8, 7/8, 9/8, 
  0, 0, 0, 0, 0, 3/8, 0, 5/4, 7/8, 0, 0, 0, -1/4, 0, 0, -3/8, -1, -1/8, 0, 
  1/4, -1/4, 7/8, 3/4, -3/8, -1/2, 5/8, -9/8, -5/8, 0, 3/8, -1/4, -1/8, 0, 0, 
  -1/8, 0, 0, 0, 0, -9/8, -3/8, 9/16, 3/8, 0, 0, 0, -1/4, -1/2, 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, 0, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, 0, 1/2, -1, 1/2, -1/4, 5/6, 
  1, 5/12, 7/12, 0, -1, -5/6, -5/6, -2/3, 1/4, 19/36, -1/3, -3/8, 5/8, -1/3, 
  0, -1/8, -3/2, 11/16, -5/4, -1/6, -1/3, -1, -5/12, -5/6, -3/8, 1, 5/6, 7/6, 
  2/3, 5/8, -5/9, 1/3, 0, -5/6, -9/8, -3/2, -5/6, 11/16, -1/4, 5/6, 1/6, 5/6, 
  2/3, -1/18, 1/3, 0, -1/4, -1/2, 1/2, -1/4, -1/2, 1/4, 1/4, 1/2, 19/12, 1, 
  1, -11/36, -5/12, -7, -10, 45/4, 23/2, -67/8, 21, 63/4, -91/4, -14, 4, 3/4, 
  -1/4, -3/4, 1/8, 0, -23/2, -1, -6, 11, 47/8, 7, 73/4, 57/4, -18, 29/4, 
  -49/8, -79/4, 3/4, 19/2, 45/4, -11, -43/4, 1/4, -53/2, -29/2, 59/4, 17, -4, 
  -5/8, 9/8, 4, -5/8, 0, 14, 1, 6, -57/4, -49/8, -19/2, -75/4, -21/2, 21, 
  -47/4, -5/8, 13/2, 33/4, -5/8, 0, -11/8, 0, -11/8, 0, -1, -11/8, 1, 29/8, 
  1/8, -7/8, 15/8, 5/8, 0, 0, -1/16, 1/8, -7/8, -1/8, -3/2, 0, 0, 0, 5/8, 
  1/2, 7/16, -5/8, -7/16, 1, 13/8, -11/16, -1, 5/4, 17/4, 7/2, -5/4, 0, -1/8, 
  1/2, -7/16, 0, 9/16, 1/4, 9/8, 11/16, -1, 0, 0, -3/8, 0, -7/8, 5/16, 0, 
  -3/4, -5/4, 0, -7/8, -15/4, -13/4, 7/8, 0, 0, -5/8, 0, -1/2, -3/8, 0, -5/4, 
  -1/2, 0, 1/8, -3/4, 15/16, 3/2, -9/8, -1/8, 3/4, 1/2, -5/16, -3/4, 7/16, 1, 
  -1, -3/4, -5/4, 9/8, 1/4, -1/16, -9/8, -1/8, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 
  0, -97/16, 93/16, 71/8, -11/8, 0, 0, 83/8, -97/16, 3/16, 71/8, 17/4, 0, 
  23/16, -3/16, 47/16, 27/16, 0, -21/16, -9/8, 0, 0, 0, 23/16, -3/8, -7/4, 
  5/8, 0, -21/16, 9/16, 0, 3/16, -33/16, -9/4, -27/16, 53/16, 0, 0, 0, 
  -25/16, 5/8, 5/8, 31/16, -11/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, -31/8, 
  -1/8, 5/4, 0, 0, 0, 0, 0, 0, 0, -7/16, -1/16, -21/16, -1/16, 0, -5/8, 3/16, 
  0, 1/16, 7/16, 5/16, -3/8, 0, 0, -1/16, -15/16, -5/16, 3/8, 1/2, 0, 0, 0, 
  0, 0, -1/16, -7/16, -13/16, -3/8, 13/4, -1/4, -1/2, -1/4, 1/2, 0, 3/8, 9/8, 
  0, 1/8, 1/8, -1/8, 1/4, 0, 0, 1/2, 1/2, -1, 0, -1/4, -1/4, 0, -1/4, -1/4, 
  0, 0, 3/4, 0, 0, 0, 0, -1/4, 0, 0, 1/8, -3/8, -1/8, 1/4, 1/4, -1/4, 5/12, 
  9/8, 5/8, -5/8, 7/4, 1, 1/2, -59/24, -9/8, 0, 0, 0, 7/8, 0, -3/8, 5/16, 
  1/12, -11/24, 0, -5/48, -1/6, -1/12, 0, -23/16, 0, -17/48, 1/4, -1/12, 
  19/12, 11/12, 1/12, 9/16, 0, -9/16, -3/4, 3/4, 3/4, -3/4, -9/8, 3/4, 3/8, 
  1/8, 1/8, -17/8, 1/4, 19/16, -1/24, 13/8, 0, 3/4, 3/4, 3/8, -9/16, -19/32, 
  3/8, 1/8, 5/4, 1/8, -5/8, -5/4, 1/16, -5/12, -1/24, 7/6, 0, 0, 3/16, 3/8, 
  3/8, -73/96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 9/8, 0, -3/4, 0, 0, 0, 0, 0, 0, 0, -1/8, -11/8, 0, 3/8, 0, 0, 0, 
  0, 0, -9/8, 0, 0, 3/4, 0, -1/4, -1/2, -1/4, 5/16, -13/16, 3/8, 5/4, 23/12, 
  -7/8, -17/16, -3/4, -29/24, 1/4, 0, -7/3, 1/2, 7/6, 23/24, -1/6, -1/8, 1/8, 
  0, -353/144, 0, 0, 1/2, 1/2, 0, 25/12, -7/4, 1/8, -19/16, 1/8, 1/12, -1/4, 
  1/6, -7/8, -3/16, -1/6, -1/12, 0, -35/48, -1/4, -43/48, 3/8, -1/8, -1/12, 
  1, 3/4, 1/12, 11/48, -1/8, 0, -77/144, 0, -3/8, 3/8, -1/8, 1/2, 1/8, -9/4, 
  -3/16, 0, -1/4, 1/8, -1, -7/4, 11/12, 1/2, 5/8, 23/24, 0, -13/8, -1/4, 
  -37/48, 29/24, -5/8, 1/6, 1/3, 5/3, 0, 35/48, -1/4, 0, 37/24, 0, 0, 0, 
  -1/8, 5/8, -9/4, -3/8, -1/8, -5/6, -1, -7/8, 11/12, 3/8, 5/12, 5/8, 23/24, 
  0, 0, 5/8, 1/8, -11/12, -1/8, 5/6, 5/8, 29/12, 1/6, 7/8, -1/4, 1/8, 7/4, 0, 
  0, 0, 1, -7/2, 37/16, 41/8, -63/8, -5/2, 291/16, 0, 19/4, 91/4, 0, 0, 35/8, 
  -19/2, 149/16, 91/16, 6, 5, 0, -11/8, 27/4, 139/16, 129/8, -2, 67/4, 43/2, 
  4, -7/2, 13/4, 35/8, -55/16, 27/16, 63/8, 0, -8, -11/8, 6, 333/16, -25/8, 
  0, 67/4, -21/4, 4, 15/4, 67/16, -11, 47/6, -413/24, -109/4, -27/8, 59/4, 
  41/24, -35/4, 0, 1/8, 0, -1/8, 1/24, -1/4, -5/48, 5/24, -5/12, -1/4, -7/48, 
  -1/6, 1/4, -1/24, 19/16, 3/16, -3/8, 3/4, 3/8, 0, 0, -1/8, 0, -21/64, 
  -9/16, 1/8, -17/64, 1/8, 13/48, 13/48, 1/24, -5/12, -1/12, 13/48, 1/8, 0, 
  -25/24, 7/32, -37/24, -243/64, -1/4, 0, 7/12, 49/48, 7/16, 75/32, -1, 
  -7/16, 0, 0, 1/16, -3/16, 0, 21/64, 3/16, 0, -25/64, -1/8, 5/24, -3/16, 
  -1/4, -41/24, -1/16, 3/8, -19/48, -1/4, -1/4, 19/48, -5/16, -21/32, -41/24, 
  -219/64, -13/24, 1, 29/24, 7/48, 11/16, 75/32, -1/4, -11/16, 0, 0, -3/16, 
  9/64, 3/16, -9/64, -1/8, -1/24, -3/16, -1/8, -23/24, 3/16, 3/8, -19/48, 0, 
  -1/4, 0, 1/16, -17/32, 9/16, -83/64, 0, -1/48, 1, 11/8, 19/48, -7/12, 
  47/32, 0, -65/48, 0, -1, 93/16, -3/16, 19/8, -153/16, 3/16, 15/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, 5/16, -423/32, -93/32, 
  23/8, 193/96, 505/96, -23/8, 57/32, 27/32, 225/32, -105/32, -9/2, 0, 0, 0, 
  3/16, -73/16, 5/16, -1/16, -279/32, -1/8, 49/48, 193/96, 29/6, -23/8, 
  219/32, 65/32, 19/8, -137/48, -21/8, -1/16, -5/16, -33/16, 0, 1/16, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/16, -3/8, 15/4, 15/16, -5/2, 
  -149/48, 43/48, 47/16, 51/32, -27/8, -45/8, 33/32, 9/2, 0, 0, 0, 0, 0, 0, 
  0, 0, -23/8, 0, 35/16, 0, 0, 0, 23/8, -7/8, 0, 13/8, -1/4, -3/4, 1/4, 0, 
  4/3, 31/48, -13/12, -19/48, 1/6, -11/24, -13/16, -1/6, 7/8, 0, -11/8, 0, 
  1/2, -59/24, 0, 25/12, 19/12, 0, 0, 0, 9/8, 0, 23/16, -1/2, -25/64, -23/16, 
  25/64, 0, -11/24, 5/48, -13/24, 13/16, -1/6, 5/48, 0, -1, 0, 0, 35/24, 0, 
  0, 0, 0, 1/8, -3/8, -1/8, 0, 3/16, 9/64, -3/16, -9/64, -17/24, 1/8, 1/3, 
  1/8, -7/12, 7/12, -5/6, 15/8, 1, -5/4, 5/4, 1/2, -43/12, -1, 29/24, 41/24, 
  0, 3/8, 0, 3/8, 0, 5/16, 0, 0, -5/16, 0, 7/8, 0, -3/4, 1/4, -5/4, -11/24, 
  9/16, 5/6, -7/8, 0, 1/2, 11/24, 0, 7/8, 0, -13/8, 1/4, 3/4, -1/4, 0, 
  -11/24, 1/8, 59/48, 7/12, -5/8, -25/24, -3/16, -1/6, -5/12, -1/3, 17/24, 
  -1/6, -7/8, 0, 0, 11/8, 0, -1/2, 19/12, 7/16, -29/24, -1/3, -5/96, 0, 0, 
  9/8, 0, 1/16, -1/16, -25/64, -1/8, 17/64, 5/48, 5/16, 0, 11/24, 0, 13/48, 
  0, 7/16, 0, 1/16, 1/16, 0, -11/48, 1/12, 1/12, -1/12, 0, 0, -7/16, 0, 
  -13/48, -1/16, 0, 19/24, -1/12, 0, 0, 0, 0, 0, 0, -3/8, 1/4, 5/8, -1/2, 
  5/16, -3/16, 13/16, -1/4, 7/24, 5/24, 0, -15/16, -1/2, 1/8, -11/12, 1/8, 
  -5/12, 1/6, 1/4, 1/6, 0, 0, -3/4, -7/16, -1/8, 95/48, 9/8, -1/16, -13/16, 
  1/16, -1/6, -7/12, -53/48, -5/8, 5/12, 13/16, 0, 1/12, 3/8, -1/12, 9/8, 
  -9/8, 0, -1/2, 43/16, -1/16, -1/2, 19/24, -29/12, -5/8, 9/16, 0, 0, -9/16, 
  -7/4, 13/8, -163/32, 13/8, 71/16, 363/64, 7/4, 143/64, 0, 7/4, -11/4, -7/4, 
  199/48, 17/16, 85/32, 205/24, 5/2, 0, 19/8, 7/4, 551/48, 7, 0, 43/8, 2, 
  3/16, 21/16, 123/32, 49/8, 11/4, -135/16, -49/16, 1/16, -59/12, 17/12, 
  59/16, -1553/96, -143/24, 799/48, -449/24, -19/12, 767/24, 1031/24, -13/16, 
  -21/16, 0, 65/6, 25/4, -1/16, 239/48, 27/4, -1001/48, -101/24, -13/4, 0, 0, 
  87/8, 0, -1/16, -1/8, 1/16, -9/16, 1/8, 1/8, 5/8, -3/16, 1/12, 1/6, 0, 
  -1/4, -11/48, 1/16, -25/48, 1/16, 0, 1/12, -5/24, 1/12, 0, 0, -5/12, 1/8, 
  0, 55/96, -7/16, -1/16, 0, -1/16, 0, 29/48, 5/48, -11/48, -89/48, -1/2, 
  1/6, -1/8, -5/12, -1/6, -7/12, 9/8, 0, 5/8, -11/16, 1/16, 1/8, 1/12, 
  -17/24, 11/24, -9/16, 0, 0, 9/16, 0, 7/16, -11/16, -1/16, -105/32, 9/8, 0, 
  -103/32, 1/16, -1/12, 61/96, -11/48, 61/96, -271/96, -1/12, 25/32, 21/32, 
  7/32, -7/4, 37/16, -1/16, 17/24, -19/16, 451/96, -25/32, 15/16, 0, -15/8, 
  0, 7/16, 0, -3/8, 1/8, 0, -27/16, -11/48, 1/8, 61/48, 3/8, 1/12, 1/16, 9/8, 
  1/12, 0, -7/16, 0, 0, 1/4, 21/32, -1/3, -19/12, -83/96, 0, 15/16, 7/16, 0, 
  -13/16, 1/8, 3/8, -1/8, 0, -11/48, 0, 11/24, 1/6, 0, -19/48, 1/4, -1/12, 0, 
  -1/48, -5/12, -1/12, 7/16, 0, 0, -1/16, 0, 1/4, -1/4, 0, -13/24, -71/48, 
  19/48, 29/48, -1/6, 11/24, 11/6, 1/6, -7/8, 0, 1/2, 0, 59/24, 0, -15/16, 
  -19/12, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 
  0, -1/2, 0, 0, -1/3, 0, 1/6, 0, 0, 1/3, -1/6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -1, 0, -1, 0, 0, 0, 0, 2, 5/2, 0, 0, 17/12, 
  0, 0, 0, 0, -5/2, -2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 
  0, 0, 0, 0, -5/9, 0, 0, 0, 0, 0, 0, 0, 0, -5/2, -1, -1/2, -1, 1/2, 0, 0, 0, 
  2, 2, 0, 0, 0, 0, 0, 1, 0, -5/9, 0, 1/9, 0, -5/9, 0, -1/2, -1/2, -1, 17/2, 
  0, -3/2, 0, 0, 81/4, -1/2, 75/4, 4, -17/2, -3, -3, -13/4, 13/4, 7/4, 9/4, 
  0, -1/2, 0, 3, -15/4, 0, 13/4, 0, -1, -273/20, -33/20, 19/10, 0, -1/3, 0, 
  -10/3, 3, 0, 0, -3/2, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/3, 1/12, 0, 0, 0, 0, 
  -3, 0, 0, 0, 2, 3/2, 0, 1/6, 0, 1/12, 1/6, 0, 1, 0, -1/2, 0, 1, -1/2, -1, 
  0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 17/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10/3, 0, 0, -1/2, 1, 1/2, 0, -1/2, 
  0, 0, 1/9, 0, -23/9, 0, -2, 0, 0, 1, -1, -1/2, 0, 0, 0, 1/9, 0, -23/9, 
  -23/9, -397/80, 3557/80, 171/4, -177/4, -11/4, -37, 2, 19, 23/2, 1/2, -10, 
  13/2, -1/2, 0, 17/4, -53/4, -39/4, 33/5, 149/20, -59/20, 361/20, 49/80, 
  75/16, -39/20, -123/4, 31/2, 31/2, -17/2, 2, -11/2, 0, 0, 29/4, 33/10, 
  -99/10, 33/10, -203/20, 3, 1/2, -3/2, 1, 0, -1/3, 0, -1/3, 0, -13/3, 3, 
  7/2, 7/2, 0, -3, 0, -1/3, 1, 0, 3, -1, -3, 0, -2, -2, 0, -1/3, 0, 0, 0, 0, 
  0, 0, 0, 0, 1, -1/4, 1/4, 1/2, -1, 0, 0, 0, 455/48, -443/48, 0, 0, 0, 0, 0, 
  1, 1/4, 0, 0, 0, -3/16, 0, 0, 0, -1/2, -1, 1/2, 1, 4/3, 0, 3/4, 0, 0, 3/8, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/2, 1/2, 33/4, 10, -5/4, 
  0, -1/4, -1/2, 0, 0, 21/2, 0, 0, 0, 0, 0, -1/8, 13/8, 0, 3/2, 0, -5/8, 1/8, 
  0, 9/8, 0, 0, 0, 0, 0, 1/2, 1/4, 0, -3/2, 3/8, 13/6, -3/8, -5/8, -5/12, 0, 
  0, 0, 0, 0, -3/4, -3/4, 3/4, 4/3, 0, 0, 0, 1/8, 3, -1/8, -27/16, 0, 0, 0, 
  0, -5/8, -17/8, 0, 3/2, 0, -1/2, 0, 0, 1/2, 1/4, -3/4, -1/4, -1/3, 0, -3/4, 
  -1/8, 3/4, 11/12, 151/48, -151/48, 0, 0, -1/4, -1/2, -1/2, 1/4, 1/2, 1/12, 
  1/8, -5/4, -1/8, -3/8, -11/12, 3/16, 0, 0, 0, 1/2, 1/2, -5/4, -1/4, 0, 0, 
  0, -13/12, -5/18, 1, 7/9, 2/9, 0, -7/9, 0, 7/9, 7/9, -17/2, 297/40, -5, 20, 
  -1, -21/8, 1, 3/8, 35/8, -1/8, 5/2, -10, 0, 15/8, 7/4, 0, 0, 0, -193/20, 
  33/20, 2/3, 0, -173/48, 75/16, 0, 0, 0, 0, 0, -3/16, -3/8, 0, 1/6, 0, 0, 
  -1/6, 1/4, -1/3, 0, -3/16, -3/16, 0, 0, 0, 0, 1/2, 1/2, 0, 0, -317/24, 
  143/48, -55/16, 0, -1/3, 0, 3/8, 0, 0, 0, 5/6, 1/3, -13/24, 179/48, 1/8, 
  -409/96, -3/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -9/8, 
  -1/4, 1/4, 3/2, 0, -1/4, 1/4, 3/4, 0, 0, 3/4, 9/8, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 1/8, 0, 0, 0, 0, -1/4, -367/32, -241/96, -11/4, 11/4, 33/8, 
  9/8, 0, 0, 9/8, 5/8, -9/4, 57/32, -47/32, -1/16, -17/8, 73/32, -7/32, -7/4, 
  7/4, 2, 1, -253/96, 599/96, -527/96, -3/8, -83/96, 5/8, -5/8, 3/4, 0, -3/4, 
  1, 1/4, 0, -1/16, 0, -5/8, 5/8, 3/16, 0, 1/16, 0, 0, 0, 0, 1/4, -551/216, 
  -11/32, 389/216, -9/8, 9/8, 9/8, 0, 0, 0, 0, 0, -5, -7/24, 1/8, 1/2, 0, 0, 
  0, -7/12, 3/8, 1/4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 29/110, 0, 91/110, 0, 
  1/4, 0, 0, 0, 0, 0, 0, 0, 2, 489/440, -1/2, -201/110, 5/2, -7/2, -10, 19, 
  -5/2, -32/5, -181/20, 5/2, 39/10, 0, -607/40, 8, 5/2, 21/2, 0, 33/2, 41/2, 
  15/2, -121/4, 5/2, 7, -9/2, -25/2, -35/4, -3/2, 19/2, 75/8, -1, -71/10, 
  -7/8, -13/16, 3/8, 3/8, -1, -1/8, 51/16, -9/8, -3/16, -7/12, 0, 7/8, 1/4, 
  -1, -7/6, 0, 0, 1/2, 5/4, 0, -1/2, 5/4, 3/4, 9/2, 0, 0, 0, 0, 0, 41/48, 
  -13/48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/8, 8/3, 53/24, -5/8, -17/4, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/6, 0, 0, -1/6, 0, 0, 0, 0, -1/8, -1/2, -1/8, 1/4, 5/8, 
  0, 23/24, 0, -13/12, -47/24, 47/24, -13/12, 0, 0, -3/2, 0, -13/3, 0, 0, 0, 
  0, 0, 0, -7/4, -7/8, 0, 3/2, -179/72, -83/72, 179/72, 3/4, 1/2, -5/3, -1/2, 
  1/3, 71/144, -1/2, -1/6, -37/3, 187/32, -7/4, -3/4, 1/2, 3/4, -4/3, 
  145/144, -125/24, 15/8, 421/144, 0, 0, 0, 0, 0, 167/36, -191/36, -167/36, 
  0, -1/9, 0, -5/9, 1/9, 19/36, -259/48, 0, -83/12, 61/36, 181/24, -1/6, 
  307/48, 1/6, 287/144, 155/144, -335/144, 323/72, 2/3, 2497/288, -7/12, 
  -1927/288, 1/72, -1/2, 1/6, 419/144, 1/6, -5/6, -1, 5/12, 0, 13/12, -13/12, 
  -5/4, -1/4, 17/24, -11/12, -41/12, 15/8, -583/96, -1/3, 1/24, 91/12, 0, 
  -569/96, 2/3, 13/96, 91/12, 307/96, -569/96, -81/32, 1/2, 1/4, -1, -1/4, 
  241/144, 9/4, -71/24, -1, -5/24, 373/144, -9/8, -7/4, -7/4, 1/8, 31/24, 0, 
  0, 0, 0, 0, -3/16, 0, 4/3, 1/2, 35/18, -1/2, 1/4, 0, 0, 0, 0, 0, 1/8, -7/8, 
  1/8, 1, 3/2, 0, 77/36, 0, -77/36, -77/36, 1/18, 1, 41/36, -481/144, 0, 
  -19/9, 1/4, -71/18, 161/72, 1/4, 2, -1/4, -29/36, -761/144, 0, -5/12, -3/4, 
  -185/36, 25/24, -25/12, -65/36, -11/4, 1/18, -5, -9/4, -87/8, -1/2, 3, 1/2, 
  -9, 27/4, -26, -879/16, 77/4, 783/16, 39/4, 1/2, 155/8, -77/4, 1/8, 1/8, 
  25/4, -19/16, -64/5, -41/4, 7027/480, 18851/720, 9373/240, 66/5, -9073/240, 
  -1225/24, -1439/15, 3509/30, -517/48, -1021/72, 21049/360, 3041/120, 
  -114/5, 377/8, 2899/1440, 63/4, -917/10, 137/60, 53/4, -269/240, -77/2, 
  4319/60, 601/24, -129/8, -17737/1440, -10, 16, -12, -55/4, -8, 1965/32, 6, 
  -1965/32, -47/4, -8, 1841/32, 6, -2065/32, 11/2, -7/2, -17, -15/4, 279/16, 
  -33/4, 23, 1137/16, -29, -527/8, 13/8, 7/4, 15/4, 7/8, 15/4, 0, 1/2, 11, 0, 
  -275/16, -1/2, 23/4, 283/16, 0, 0, 0, -3, -71/16, -61/4, 41/2, 87/16, -1/8, 
  15/2, -5/8, -39/4, -79/8, -1/8, 31/16, 3/8, 3, 3/2, 271/8, 233/10, -155/8, 
  -163/4, 961/40, -107/20, -303/10, -77/20, 67/40, -9/2, -1239/20, -189/5, 
  1247/20, 1173/20, 609/20, 1891/20, -287/8, -205/2, -3631/40, -853/20, 
  -723/20, 2847/40, 709/10, 1219/40, 1037/72, 1, -3/4, -1, 0, 3/2, -115/96, 
  -7/12, -1/8, 1/8, -9/4, 5/2, 1, -23/12, 1/8, -3/2, -1/8, -13/2, 35/6, 13/2, 
  0, 125/24, 53/24, 0, 0, -1/4, 1/2, 17/12, 1/4, 0, 3197/288, 11/12, -13/4, 
  175/288, -101/96, 887/288, 959/72, -1319/288, 7/6, -101/96, -193/48, 
  959/72, 87/16, 0, 3/2, 5/4, 1/4, -11/4, -3/8, 2717/288, 5/6, 101/24, 
  -17/24, 151/288, 695/288, -1199/288, -3/2, 5/16, -5/16, -2, 5/16, 9/16, 
  15/8, 0, 3/8, 9/16, 7/3, -9/4, -1/6, 3/2, 13/8, 3/8, -1/16, -1/4, 0, 5/16, 
  1/2, -5/16, -1/16, -17/8, 0, 3, 0, 0, -11, 31/3, 11, 1/4, -59/96, 0, 
  161/24, 101/24, 0, 0, 0, -8/3, 7343/144, 0, -7145/144, 61/32, 7379/144, 
  6173/144, 9/2, -989/144, 1/4, -3377/96, 1/32, -847/24, 81/32, 573/32, 
  383/48, -271/32, -1175/96, -95/24, 383/48, -35/16, -1175/96, -259/32, -9/2, 
  -3/8, -1/4, -1/2, 3/4, 0, 1/4, 19/8, -1/2, -3/8, -1/2, 1043/144, -1, -3/2, 
  1/4, 1/4, 0, 0, -3653/96, 0, -171/32, 1/8, -263/8, 81/32, 503/96, 179/48, 
  -47/32, -377/96, 89/32, 0, 0, 0, 3/8, -23/24, 3/16, 0, 1/2, -1/2, -1/4, 
  -1/4, 0, 0, 1/2, 0, 1, 0, 0, -1, 1/4, 15/16, 137/32, -3/4, -3/4, 3/4, 3/4, 
  0, 41/16, -25/16, 9/16, -3/8, 3/8, -9/8, 35/144, -5/6, 1/2, -419/24, 0, 0, 
  0, 39/32, -15/16, -7/8, 0, 3/8, 0, -9/4, 0, 0, -17/8, 13/2, -41/24, 211/24, 
  17/8, 0, 17/16, 55/48, 0, 17/8, 193/24, 49/4, -85/144, -349/24, -5/4, 
  159/16, 19/16, -159/16, 1/16, 33/32, -171/16, -9/32, 83/32, -9/32, 9/8, 
  39/32, -39/32, 0, 0, 1/8, -23/16, 0, 525/32, -7/16, 157/96, 7/16, 9/8, 
  -11/8, 73/8, 3, -73/8, -13/8, -25/16, -55/8, 3/8, 113/32, 1/8, 9/8, 23/16, 
  -117/32, 9/8, -1/4, 5, -1/2, -5, 3/4, 29/16, -27/4, -15/8, 125/32, 19/16, 
  15/8, 7/8, -55/32, 3/8, -413/48, 215/12, 295/48, 77/96, 29/16, -647/48, 0, 
  1871/216, -101/96, 0, -431/24, -9/16, -8461/864, -7/8, 5/4, -3499/432, 
  4535/324, -1/8, 3059/72, -2389/162, -15125/432, 10717/432, -119/8, 
  -32585/648, -389/24, -19/144, 7315/216, 131717/2592, 3/16, 15251/1296, 
  -1/8, -9/16, -9961/648, 3/8, 1871/216, -119/8, -56225/2592, -389/24, 
  23441/864, 269/144, 37/24, 7855/324, -9/8, 0, 0, -5/16, 5/4, 15/4, 0, 0, 
  1/8, 0, 1/4, -7/8, 0, -23/8, 0, 0, -1/8, -3/8, 0, -7/8, -35/8, 2, 35/8, 
  -9/8, 17/8, 21/8, -77/16, -11/8, 15/32, -3/8, -73/16, -269/48, 3/8, 0, 0, 
  7/16, 35/16, -11/16, -7/8, 0, 0, -35/16, 0, 0, 0, 0, 0, 0, 0, 0, -15/16, 
  -497/144, 479/144, 23/16, 13/32, 227/432, 11/8, 281/144, -281/144, 
  -389/432, 0, 0, 0, 0, 335/432, 1/8, 31/24, -389/432, -7/24, 0, -7/48, 5/16, 
  -1/4, 1/8, 1/16, -7/48, -13/16, -1/16, 1/16, -5/16, 0, 0, 0, 0, 0, 0, 
  -7/24, 0, 1/8, 0, 7/24, -1/8, 0, 3/64, 0, -199/192, 0, 0, 0, 0, -3/64, 3/4, 
  0, 0, 0, -125/36, 0, 0, 125/36, 0, 0, -5/2, 75/8, -73/8, 35/12, 415/12, 19, 
  -3/4, 29/4, -473/24, 23/8, -1/8, 5/8, -77/8, -29/24, -91/64, 71/32, 7/24, 
  -4, -47/48, -1/6, -5/48, -185/16, -43/8, -7/16, 3/16, 7/12, 0, 0, 7/8, 0, 
  -1/4, 0, 7/24, -5/8, 13/8, -1/8, 1/2, 1/6, -1/8, 31/32, -7/8, -43/32, 5/32, 
  7/24, 7/16, 13/12, -7/24, 4/3, 107/32, -3, -5/8, 15/8, -1/8, 0, 15/32, 0, 
  1/2, 5/2, 5/12, -5/48, -1/6, -7/24, -49/48, -1/2, 37/32, -21/8, -5, 0, 0, 
  9/64, -341/36, 111/64, 341/36, 0, 0, 0, 0, 0, 0, 0, -239/96, -157/192, 
  875/192, 0, 21/16, 265/192, 0, -31/24, 1637/192, 0, 0, -239/96, 3/16, 
  271/96, 31/16, 0, 21/16, 265/192, 0, -193/64, 305/96, 1181/192, 1637/192, 
  0, 11/96, 0, 0, 0, -11/96, 7/24, 0, -1/8, 0, -7/24, 1/8, 0, 1/4, 1/16, 
  -5/8, -33/16, 0, 9/16, 0, 5/2, -29/12, 47/32, 0, -17/16, 0, -1/4, 0, 0, 0, 
  133/48, 0, 3/4, 0, 1/8, -3, -27/8, 209/32, 7/64, 0, 17/24, 263/48, 0, -1/4, 
  -21/16, 75/32, -5/6, 27/16, 0, -3/4, 0, -5/2, -7/4, 0, 0, 0, -17/12, 0, 0, 
  13/6, 1/8, 0, -17/32, -3/4, -55/32, -15/16, -13/24, 29/16, 77/48, 5/12, 
  169/96, 23/96, 157/32, 13/32, 0, 0, -119/64, -65/32, 0, -11/16, 5/2, 0, 
  155/48, -1/8, 0, 119/64, 469/192, 13/16, -325/192, -175/192, 5/48, 95/36, 
  -113/48, 2797/576, 299/576, 23/36, 79/384, 349/96, 131/32, 11/4, -1/24, 
  -1997/48, 4285/192, 0, 0, 0, 21/8, -143/24, -1/24, 25/16, -1133/288, 
  197/64, -67/9, 19/72, 1531/144, 155/24, 71/6, -109/72, 119/32, -1649/144, 
  119/36, -5/8, -15/16, 1/12, 35/144, -13/18, 25/12, -269/144, 23/24, 
  -273/64, 49/144, -11/8, -197/192, -23/36, 0, -19/16, -8/3, 11/48, 0, 
  -35/16, -55/16, 0, 65/48, 2953/576, -145/72, -95/144, 5/6, -5/48, -509/96, 
  13/8, -29/24, -43/24, 47/48, -253/72, -71/16, -17/4, 155/48, -2501/576, 
  265/576, -433/72, 61/576, 7/36, 1/4, -635/144, 5/4, 11/8, -457/48, -3/2, 
  -359/144, -245/48, 17/16, 131/48, 5/12, 3073/576, -53/72, 847/576, 31/36, 
  -717/32, -55/96, 227/48, -63/32, 0, 281/96, -133/32, 639/32, 319/32, 
  -423/8, -151/32, 775/16, 0, 3931/192, 241/48, -13085/6912, -1567/96, 0, 0, 
  119/96, 1567/96, 1/6, 14957/6912, 1291/96, 50383/2304, -1579/96, 
  -55775/2304, -145/192, -203/32, -289/48, 1409/192, 1751/96, 31/16, 73/192, 
  467/96, -1625/96, 1/24, -37697/1728, 455/96, 52399/2304, -377/64, 
  -57791/2304, -5/16, -145/24, -289/48, -19/8, 431/48, 7/8, 653/192, 467/96, 
  -1159/96, 1/24, 13727/864, 293/24, -60929/2304, -849/64, 53809/2304, -7/16, 
  1/16, 1/16, -3/16, -1/16, 7/16, -1/16, -170/9, 0, 0, 282091/4320, 1/8, 
  -3953/135, -1/16, 0, -7217/216, -89/96, -1/6, -282091/4320, 31039/1080, 
  7283/216, 1/8, -3/4, -41/24, -13/8, 5/16, -8/3, -3/8, -37/32, -75/32, 
  29/48, 57/32, -287131/4320, 1/4, 32329/1080, 1, -5/4, -5/16, 0, 23/16, 
  -85/32, -5/16, -19/32, 5/4, 5/16, 0, 2209/96, 0, 0, -10/9, -1/2, 67/32, 
  173/64, -167/36, 247/72, 143/24, 49/12, 19/9, -169/32, -1093/144, 0, 1/4, 
  7/6, -1/4, 259/32, 317/64, 0, 233/36, 13/12, 0, -1/4, -1171/144, -197/32, 
  53/36, 841/144, 8/3, 62/9, 131/24, 251/48, 917/72, 1/4, -19/4, -19/3, 
  -1513/144, 5/3, -125/8, -233/48, -9, 1435/144, 365/144, 0, 47/36, 143/24, 
  -3/2, 31/9, 11/16, -8/3, -175/24, -151/36, 5/4, -173/36, -599/48, -131/24, 
  1999/144, 151/48, 55/8, 479/8, 15/2, 39/4, 102473/2880, -21929/240, 
  -135653/1440, -49/8, 99/8, -19087/240, 4477/60, 899/16, 52237/480, -79/4, 
  -11/8, -253/16, 3313/20, -565/16, 87379/720, 151/16, -7, 51/2, -181/8, 7, 
  297/8, 6, -14, -11/8, 89/16, -39/4, -627/16, -55/4, -1813/32, -47/8, 
  -31/16, 59/8, -119/8, 89/16, -391/16, 231/8, -627/16, 509/16, -55/4, -17, 
  -1801/32, -197/16, 49/16, -115/8, -735/8, 0, -207/16, 205/8, 12, 1197/16, 
  -30, 0, 27/2, -405/16, 3, -1373/16, -151/4, -7/8, 293/16, -3, -41/8, 55/8, 
  309/16, -83/16, 55/4, 85/16, 7/16, -79/2, 5/16, -1363/240, -5641/80, 
  -201/16, 11/4, -1693/80, -737/20, 2683/160, 9339/80, 1303/160, 19/12, 
  11/16, -383/20, -1717/160, 85/48, 1169/96, -110/3, 17/16, 413/32, -1/6, 
  -31/48, -397/32, -5/12, -1051/80, -13877/960, 1037/120, 32321/2880, -10, 
  197/192, 65/16, 959/192, 3/8, 15/4, -49/6, -1, -173/32, 137/24, 1/32, 
  -71/8, -15/4, 1919/96, 41/8, 17/16, 1/16, 5/2, -17/16, 0, 47/48, -1123/96, 
  -181/16, -593/48, -6775/576, 2783/144, 16261/576, 0, -44503/2592, 553/96, 
  -1199/216, 647299/10368, 52637/864, -1/8, 5387/144, 123575/2592, 1/8, 
  1689/128, -121469/2592, -24847/432, 7943/864, -460579/10368, 649/96, 
  -14137/216, 594103/10368, 51395/864, -49537/1728, 2279/48, 128837/2592, 
  65/72, -12917/648, 1801/128, 15/8, -124355/2592, -24901/432, -19/32, 
  -459607/10368, 649/96, -11321/216, 629851/10368, 21337/432, -21037/1728, 
  2279/48, 94205/2592, 65/72, 14723/5184, 1331/384, -9331/576, -87293/2592, 
  -49741/1728, -1/8, 1/8, 1/8, 871/80, 3/4, -373/40, 1, -121/32, -3/16, 
  -97/10, -43/16, 1/8, 1, 73/192, 43/48, -1/32, -25/48, 0, 169/192, 161/240, 
  -53/72, 7/8, 1543/192, 25/16, -367/192, 1/4, 7/16, 155/16, -5/3, 7/16, 
  -143/16, -7/8, -147/16, -79/8, 15/2, 69/8, -95/16, 9, 21/4, 275/48, 3/4, 
  1/8, -3/2, -1/8, -1/16, -73/8, -7/8, 8, -3/2, 161/16, -3/4, 11/8, 11/8, 
  -1/4, 3/2, -3/4, -3, 1/2, 1/8, -141/8, -1/2, 1/8, -1/8, -1/8, -1/8, -5/8, 
  -1/8, 39/8, -37/2, -5/4, 11/24, -11/12, -23/3, -1/3, 5/8, -1/16, -61/16, 
  -5/8, 0, -3/4, 26/3, -3/8, -65/32, -131/12, 13/32, 19/8, 2, 1255/96, -13/8, 
  145/16, 0, -47/16, -145/16, 0, 29/96, 137137/10368, -223/48, 23209/432, 
  -216661/10368, -5449/108, -26375/576, -8015/144, 217121/5184, 15569/288, 
  2911/64, 227/32, -2089/32, 169/96, 145/192, 775/192, -1031/192, 893/24, 
  7/16, 87/32, 3169/192, -47/32, -1/32, 1043/96, 941/48, 0, 0, 0, 0, -223/96, 
  0, 0, 0, 0, 0, 0, -923/48, 193/384, 3/16, 67/192, 1/16, -109/128, -2033/96, 
  31/16, -49/3, 1051/64, 0, 0, -83/32, 1/8, 57/32, 329/48, -241/128, -509/96, 
  -61/384, -73/24, 7285/576, -19/2, 3, -433/384, 17/16, 1363/128, 505/96, 
  1/8, -4321/96, -669/16, 1/4, 6355/96, 2837/48, -91/48, 3959/96, -235/96, 
  -1791/32, 55/16, -171197/3456, -1757/48, -41/8, 3871/48, 51319/1152, -1/2, 
  -1191/32, 1/4, -1/2, 5615/96, 13/24, 1453/32, -235/96, -5753/96, 55/16, 
  -29573/3456, -1889/48, -69/32, 5851/48, 53911/1152, 3/8, 19/16, 2, 0, 0, 
  -5341/480, 0, 0, 9/2, 0, 0, -7/48, -6769/96, -689/720, -13/48, -9/2, -1/4, 
  -53207/2160, -19021/288, -1/12, 129577/4320, 3/16, 9/4, 754/27, 577/96, 
  -25/18, 53207/2160, -7723/288, 13337/4320, 3325/36, 35/96, 248593/10368, 
  23/48, 1459/27, -285241/10368, -10907/216, 3193/320, -46927/720, 
  -323563/5184, 11429/1440, 0, 9/2, 0, -1/16, -2813/480, -1/4, -127/480, 0, 
  -9/2, 0, 323/480, 0, 0, 0, 21/8, 1/8, 3/16, -41/32, 1/12, -29/24, -131/144, 
  53/48, -1/6, 19/48, 0, -9/16, -3, -79/72, 17/48, -1/12, 3/8, 961/96, 1/12, 
  9/16, 27/16, 1/144, -9/16, 0, -61/72, -15/16, -21/8, -19/16, -67/36, -23/8, 
  25/32, 13/6, 9/16, 0, 7/8, 53/48, 121/144, 239/48, 25/96, 19/48, 65/48, 
  1/4, 61/72, 167/24, 6, 43/24, -13/4, -29/8, -89/144, -97/12, 13/12, 17/16, 
  -79/12, -27/8, 27/8, -65/144, 0, 1/4, 1/2, 3/8, -7/16, -1/2, -7/16, 3/16, 
  1/16, -1/8, -41/24, 3/8, -23/24, 19/12, 23/24, 3/8, 29/24, 67/12, -1/4, 
  3/4, -19/8, 1/4, 31/8, 1/2, -15/8, 0, -2, -5/4, 3/4, 3/4, 0, 54127/2592, 
  -19/72, -7/64, -36469/1296, 1/72, 19/64, -26657/2592, -3/16, -7/48, 
  -3265/288, 60931/2592, 551/96, -26047/2592, -25/48, -3967/288, 78829/5184, 
  2059/81, 209669/5184, -1283/288, 25/8, -75163/2592, 313/288, 8375/1296, 
  3391/288, -57373/1728, -15/4, 863/144, 0, 0, 0, -1/8, 59/16, -1/4, 35/64, 
  -33/8, -15/64, 25/48, 23/48, -7/48, 13/48, 0, 0, 0, 0, 0, -299/48, 53/32, 
  363/64, 107/24, 0, -55/32, -7/8, 0, 13/8, -1/4, -3/4, 1/4, 0, 4/3, 7/16, 
  229/864, 41/192, 1/6, -11/24, 151/144, -1/6, 7/8, 0, -11/8, 0, 1/2, -59/24, 
  0, -463/864, 19/12, 0, 0, 0, 0, 19/16, 1/4, 0, 1/8, -9/4, 1/12, 5/8, 0, 
  265/432, 1/4, -5/6, -1/2, 0, -59/24, -103/440, 97/432, -133/144, -1/12, 
  1855/432, 367/216, 1/12, 19/48, -25/24, 7/144, -79/144, 1/4, 1/2, 259/16, 
  57/8, -3, 83/8, 47/8, -19/4, -57/4, -189/8, -23/16, -39/4, -3/2, 529/24, 
  -459/16, -2701/48, 18, -107/4, -255/4, 2279/24, 545/6, -241/16, -93/8, 
  -27/2, 253/8, 2039/80, -19/8, 395/48, 99/4, 863/48, 179/8, -9/4, 41/16, 
  -69/16, 83/24, 71/8, 7/24, 0, 1/4, 0, 13/32, 5/2, -1/8, -35/64, 1, -7/12, 
  -13/24, -1/24, -3/8, -49/48, -13/24, -5/24, 7/48, -41/48, 103/32, 61/48, 
  175/64, -29/16, -7/48, 41/24, 19/12, 1/12, 7/8, 93/32, 43/16, -9/16, 0, 0, 
  4423/192, 7/64, -4183/192, 0, 323/36, 4423/192, 0, 0, -4423/192, 13/8, 
  75815/3456, 4093/64, -121/64, 0, 1/2, -1177/16, 0, -75815/3456, -253/6, 
  -42697/1152, 9701/192, 44875/1152, -75/16, 0, 75/16, -59/96, 0, -67/16, 0, 
  0, 405/32, -111/32, -1/16, -429/64, 3/16, -7/24, -221/32, 17/8, 1/8, 
  -255/32, -33/16, 133/64, 221/32, 177/32, 0, -9/8, 0, -183/64, -45/32, 
  25/32, 9/8, 11/32, 1/12, 11/24, -5/24, 23/24, -47/48, 1/6, -7/24, 0, 9/16, 
  3, 169/48, -1091/192, -39/64, -1/12, -551/192, -93/16, 1/12, 9/16, -27/16, 
  -59/32, -9/16, 0, -55/48, -11/72, -9/8, 5/8, -1055/144, -5/6, -1/16, 
  259/144, -1/4, 7/24, -1/6, 1/3, -139/72, 59/72, 43/72, -13/24, 19/24, 
  145/72, 1/4, -55/72, 1483/864, -1/4, -1/9, 203/216, -3/4, -1/72, -55/48, 
  -191/216, 17/18, -445/432, -17/8, -3/4, 761/216, 0, 0, -37/192, 7/96, 
  -57/64, 3407/192, -137/96, 37/64, -1/2, 1/4, -1/48, -251/96, -1393/64, 
  439/96, 0, 11/16, -1/6, -165995/6912, -119/4, -3/8, -70109/6912, 485/16, 
  105/32, 97/3, -15/2, 2587/96, 79/24, 154847/3456, -23/32, -257/32, -931/32, 
  13/2, -7/24, -11/48, 1/2, 11/48, 95/48, 5/4, 1/8, -167/24, -3/4, 31/192, 
  16/3, -61/64, -11/16, 109/48, -193/48, -5/48, 7/24, 17/32, -17/4, 3/16, 
  -99/16, -11/16, -95933/6480, -10385/216, 99467/25920, 6971/2592, -113/96, 
  81/8, 27/4, 12697/432, -13/2, 0, 59/24, 137/24, -5/4, 293/72, -11/4, -9/32, 
  -23/8, 29/32, 0, -13/8, 1/24, 95/48, -17/24, 55/48, 1/6, -5/12, 25/48, 
  -1/6, -61/12, -137/12, 0, -15/2, -13/8, 3/8, 443/36, 149/24, 1/4, -33/4, 
  59/24, 0, -19/8, 155/144, -29/8, -17/16, 43/16, 11917/160, 17/16, -157/96, 
  -1/18, 85/8, -147983/2880, -113/16, -2357/240, 2437/288, 2467/1440, 
  25231/1440, -23791/360, -23449/1440, -491/48, 1/2, 95/24, 0, 7/2, -13/4, 
  -23/16, -217/16, 1155/32, -123/8, 5759/192, -41/16, -7001/192, -7/2, 
  109/16, 34961/240, 1079/24, -2699/30, -19/4, -2146/15, 119/16, 1813/32, 
  31/8, -6127/192, 383/32, 209/12, -5759/60, 35/6, 24719/480, 1246/15, 1/6, 
  -31/32, 1117/64, -923/96, -245/32, 5/16, -219/16, -77/8, -4211/192, 35/8, 
  3521/192, 7/2, -3341/240, 935/48, -21/4, -1729/120, 9/4, -7/2, -1349/240, 
  127/4, -43/4, -3/8, -109/48, -37/32, 5195/192, 489/64, -3053/192, 
  -1249/240, 121/24, -817/40, 19079/240, 1643/96, -5, -1361/64, -295/96, 
  609/32, 11/16, 39/8, -2673/160, 35/16, -1687/40, -9/2, -5855/192, 31/4, 
  5033/192, -311/48, 161/96, 5609/240, -8651/240, 1019/15, 1227/40, 181/24, 
  -191/24, -4189/240, 23/6, -9/8, 67/40, 0, -439/48, -297/32, 497/64, -5/2, 
  -529/40, 295/48, 91/24, -1/4, 0, -397/32, -97/12, 0, 0, -56341/2592, 
  497/144, -25/64, 75403/2592, -119/144, 25/64, 147/32, 5/48, 1799/216, 
  -55477/2592, 2861/432, 353/48, 13/48, 3625/432, -49091/31104, -3967/216, 
  -5/8, -34993/576, 1897/1728, -93/32, -246679/15552, 211/36, 1009/54, 
  -4855/432, -9691/10368, -89/32, 265/32, -2567/108, -9/2, 1/4, 85/16, 
  -21/32, -77/16, 13/32, 1/8, -659/120, -2/3, 25/64, -67/48, -77/64, -23/48, 
  17/48, 97/24, -1/48, -13/16, -171/32, 1/4, -1/16, 31/4, 19/16, 1513/240, 
  225/64, -137/192, -4567/960, 427/96, -29/8, -47/8, 1/6, 9/2, 1/8, 1/2, 1/8, 
  -1/8, -3, 5/8, 17/32, 27/8, -13/32, -7/8, -37/24, 187/48, 167/24, -5/48, 
  7/12, 7/24, -281/48, 1/6, 25/8, 7/4, -17/16, 21/8, 3/8, -53/12, -7/4, 
  -101/16, 31/24, -7/4, 3/8, 7/4, 1/16, 4003/192, -1/4, 1/4, -2647/192, 
  -13/16, -39/16, -33/16, 3703/192, -15/8, 94067/3456, 3889/96, 69/32, 
  -10967/192, -55567/1152, -1/8, -4327/192, 7/16, 1/64, 1525/96, -3/16, 
  -73/192, 4693/192, 9/32, 29/48, -81/32, 2173/96, -5/48, -797/32, -41/48, 
  401/192, 7453/384, -5/16, -48775/1728, -1913/48, -21/8, 461/192, -1/6, 
  8437/192, -3203/192, -3/8, 0, 51751/1152, 625/96, 0, 0, 3, 0, -3, 0, 0, 
  1987/720, -1/8, -49/64, -161/360, -55/64, 5/48, 7/16, 1147/720, 13/48, 0, 
  -37/4, 0, 6, -1/2, 559/360, 3647/48, 32969/2880, -107/30, 25/4, 0, -1, 
  -97/32, 0, 0, -1, 0, 0, 1/4, 0, 1/4, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 
  -31/132, -21/55, 0, 0, 0, 29/36, 91/110, -9589/240, -22, -471/40, -13/2, 
  -1, -451/40, 0, 101/4, 1/4, 0, 0, 0, 0, 0, 2, 8, 7/6, 0, 0, 0, 0, 0, 0, 0, 
  7/9, 3247/144, 0, -7/8, 21/2, -1, -1/3, 2/3, 0, -1303/24, -9/2, 7/8, -1/16, 
  0, 0, -1/3, 19/48, 0, -1, 0, 0, 3/4, 1/4, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, 0, 
  0, 3, -230369/5184, 341/48, -2/3, 0, 0, 0, 0, 0, -2, 0, 0, 1, 0, 35/12, 0, 
  0, -1/2, 0, 0, 0, 0, 0, -1/12, 0, 0, 0, 1, 1, 0, -1/2, 1, -1, 0, 1/2, 0, 0, 
  0, 3, -2/3, 1/3, 1/3, 3, 6, -245921/5184, -230369/5184, -3/2, 413/48, -5/2, 
  1, 181/96, 0, 0, 0, -381/16, 1/16, -1885/288, 1/2, 0, -179/165, -1729/1760, 
  0, 0, 0, 0, 2039/140, -581/12, -97/4, 0, 0, 0, -193/48, 0, 0, -1, 0, 0, 0, 
  0, 0, 193/48, 0, 0, 1, 0, 0, -6169/1760, 179/165, 424/165, 422/165, 
  1729/1760, 761/1760, -273/880, 0, 0, -7/4, -637/220, 0, 1, 0, 0, 3881/1760, 
  0, -31/12, -1/2, 0, -37/60, 0, 0, 0, 0, 853/880, 0, -1/9, 0, 7517/1980, 
  1875107/1440, -100359/200, -165679/2400, 12661/140, 159/10, 187/20, 971/12, 
  -281/40, 15/2, -227/4, 3087/40, -342673/2400, -1265437/2400, 2067479/7200, 
  -1748879/3600, -22529/160, -18, -5/3, -55/2, -43/2, -731/40, 5, 0, -61/2, 
  -15/2, -19/2, 5573/120, -271/24, 1177/60, -693/20, -2381/120, -193/48, 
  97729/2592, 115171/2592, 1/2, -95/32, 0, 2, 193/48, 55/8, 277/24, -193/96, 
  193/96, -3, -1, -19/8, 0, 1/2, 1, -23/12, 0, -1, 17/2, 0, 0, 25/2, -8, 
  -193/48, 23/24, -395/24, 0, 0, -3/4, 0, -931/192, 59/64, 193/96, -193/96, 
  131/12, 1, 0, -1/2, 15/4, 29/24, -1/2, -1, -5/24, -3/4, 0, -36743/1296, 
  444377/4320, -11/4, 0, -2/9, -14/9, -296233/2880, 2/9, 28363/1728, 
  37867/1728, 0, 0, 10/3, -34151/1296, 3/4, -5/2, 437537/4320, 15/4, 2/9, 
  14/9, -387797/4320, -2, 30911/1296, -48191/1296, 38039/1296, 36095/1296, 
  43871/1296, -5, -2, 0, -451937/4320, 5/2, 2, 2/9, -10/9, -527/96, -11/9, 
  -527/96, -50419/540, -2041/144, -235/8, -12085/288, 3965/288, -5/2, -1, 0, 
  1507/24, 15055/288, 17/16, -379/96, -3635/96, -2345/96, -2/9, 27979/1728, 
  27115/1728, 28843/1728, 30571/1728, -37/6, 0, 7/4, 0, 0, 420197/4320, 0, 
  420197/4320, 0, 5/4, -31769/12, -441/20, -1639/15, -42655/48, -894209/240, 
  -12961/100, -132143/25, 79/12, -125221/120, 107971/40, 30077/120, 
  -1087/144, 99247/420, 36641/210, -19829/864, 11/2, -7/8, 20405/864, 
  3701/288, 853/144, -859/42, -60191/560, 77751/560, -163/2, 959/12, 1581/20, 
  2/3, -1/3, -1/3, 0, 397/16, -2221/144, -2/3, -5/2, -3, -1175/48, 1/16, 
  487/36, 0, 2/3, 1/3, 0, 1, 6, 1/6, -1/3, 0, 1, -397/16, 2293/144, 389/16, 
  -11/48, 248939/15840, 22563/176, 494677/7920, 2147/33, 48781/1485, -251/18, 
  -33/8, -8, -41/4, -7/6, 13/4, -1/2, 1/2, -1, -25/12, 415/24, -6, -1297/32, 
  -1123/96, 0, 0, 0, 211/48, -221/96, -5/8, -193/48, 0, 0, 0, 0, -7/16, -1, 
  -41/12, 1, 1/16, -9/16, 0, 95/72, 0, -113/72, -13, -2, 11/3, 49/4, 19/24, 
  -437/36, 49/36, 131/36, 10609/288, 245/32, 7/4, -9/4, -7/4, -3/4, 37/12, 
  -7/8, -737/32, -57/4, 535/48, 105/8, 0, 0, 0, 0, -9/8, -123/2, 1/16, 0, 
  123/2, -15/4, -377/36, 23/6, 53/12, 121/18, -1057/40, 1457/60, 204/5, 
  12727/240, -1057/48, 745/48, 71/8, 1193/72, -167/24, 222161/3456, -3/2, 
  -222161/3456, -1/8, 226481/3456, 236309/3456, 745/96, -221189/3456, 11/24, 
  219461/3456, -7/4, 21/20, 7/4, -289/4, 1499/40, -2653/40, 1097/120, 717/10, 
  4027/60, -155/6, 1/2, -1/40, -1/2, 6253/80, -457/16, -441/64, 1355/192, 
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  9/8, 7/8, 0, 3/2, 1/2, 0, 0, -1/2, -3/8, 15/16, 3/8, -7/16, 0, -2/3, 7/4, 
  0, -1/12, 0, 0, -25/48, 0, 0, 1, 5/16, -27/8, -29/8, -5/8, 21/8, -19/12, 
  -1/8, 1/3, 3/4, -1/2, 19/8, -23/8, 1/6, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/2, -25/8, -21/4, 41/8, 21/8, 2, 67/12, -61/12, -5/6, 7/4, 
  21/4, -21/4, -13/12, 0, -1/2, -33/8, -21/4, 11/4, 53/8, -21/8, 13/6, 67/12, 
  -181/24, -5/6, 0, 21/4, 0, 11/8, 0, 9/2, -9/2, -9/2, -9/2, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 3, 21/8, -1/2, -5/2, -3, -23/3, -67/24, 71/12, 4, -21/8, 
  -21/4, 21/4, 47/24, 0, -3/2, 27/4, 1/2, -5, -55/8, 11/2, 9/2, 3/2, -27/4, 
  9/4, 47/8, 0, 0, 11/8, 21/8, 1/2, -11/2, -21/8, -7/4, 33/8, 5/4, -1/2, 
  -91/24, -21/8, 89/16, 157/24, -69/16, 2/3, 29/12, -275/48, -1/6, -11/8, 
  -21/8, 25/4, 21/8, -39/8, 29/12, 21/8, -71/12, -25/24, 0, 0, 0, 0, -11/8, 
  -21/8, 0, 1/2, 7/4, 9/16, 17/4, 11/16, 1/2, 29/12, 37/48, -203/48, -269/48, 
  -1/6, -7/16, 0, 7/8, 21/8, 0, -25/24, 1/2, 0, -1/2, 1/2, 1/8, -3/4, -3, 0, 
  3/8, 69/16, 1/8, -27/16, -7/6, 13/24, 3/8, 127/24, 119/48, -29/24, 5/6, 
  -1/3, -21/8, -1/6, 0, 1/2, -2, 9/8, -21/8, 1/6, 0, -1/6, -1/6, 0, -3/2, 0, 
  -1/2, 1/4, 3/8, 3/4, 31/16, -1/4, 2/3, -1/3, -39/16, -1/6, 0, -11/8, -21/8, 
  -3/4, 33/8, 1/2, 5/8, 11/3, -83/16, -19/24, 11/8, 21/8, -39/8, -37/24, 0, 
  0, -11/8, -21/8, -1/2, 11/2, 21/8, 5/4, -33/8, -3/4, 1/2, 29/12, -81/16, 
  -109/24, -1/2, 6, 7/8, -1/6, 1/4, 41/24, -15/8, -1/12, 11/8, 21/8, -25/4, 
  -21/8, 39/8, -25/24, 23/12, -11/4, -1/3, 0, 0, 1/2, 1/2, 1/2, -3/8, -13/16, 
  0, 3/16, -19/48, -1/2, 5/24, -5/48, -21/16, -1/4, 11/8, -21/16, 29/24, 
  -1/12, -1/4, -7/8, 1, 5/2, -1/8, -13/16, -37/8, 1/2, 41/16, -5/12, 0, -1/2, 
  133/48, 5/4, 11/4, -23/24, -21/8, 1/6, 1/6, -1/2, 7/12, 0, 1/4, 1/8, -19/8, 
  -21/16, -15/8, 11/4, 63/16, 25/8, -57/16, -21/16, -1/12, 37/12, -1/12, 
  -71/12, 91/24, -1/4, -17/12, 49/24, 5/24, 1/2, 11/8, 21/16, -11/8, -21/8, 
  21/16, -1, -29/24, 17/24, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -9/16, 1/16, 5/8, 
  3/8, 0, 0, 0, 0, 19/48, 9/8, 0, -31/48, -7/16, 0, 5/48, 0, 0, -1/4, 1/2, 
  11/16, 13/8, -11/16, -11/16, -11/4, 3/16, 11/8, 1/12, 5/12, -1/4, -17/48, 
  23/24, 11/8, -29/48, -21/16, 0, 1/12, -5/24, 7/24, 0, 1/4, 1/2, -5/8, 
  21/16, -7/8, 3/16, -31/8, -1/2, -1/8, 21/16, -7/12, -41/24, -53/24, 21/8, 
  257/48, -107/48, 5/12, 25/24, -17/12, -1/12, -3/4, -1/2, -21/16, -5/4, 
  25/8, -21/16, 11/6, 5/6, 17/12, -13/12, 0, 0, 0, 0, 0, -11/8, -21/8, -1/4, 
  55/16, 3/8, 11/8, -31/16, -21/16, 1/2, 29/12, -85/24, -17/24, 49/24, -1/6, 
  11/24, 1/4, 39/16, -11/8, -3/16, 21/16, 13/24, 0, -49/24, -11/24, 0, 0, 0, 
  1/2, 25/16, -21/16, 3/2, -3/16, -15/8, -1/2, -15/8, 17/24, 1/2, -31/8, 
  -3/8, 1/6, 1/3, 17/6, 0, -1/2, -25/16, 21/16, 9/4, -39/16, 11/4, -17/24, 1, 
  -31/12, 0, 0, 0, 0, -11/16, -21/16, -1/4, 11/4, 21/16, 7/8, -33/16, -5/8, 
  1/4, 29/24, -1/2, -35/16, -53/24, 5/4, 45/8, -3/16, -1/12, 11/12, 23/24, 
  -67/16, -1/4, 0, -11/16, -21/16, -1/2, 1, -21/16, 3/4, 39/16, 1/2, 157/48, 
  21/8, -67/16, -29/48, -47/16, -2/3, -29/12, 193/48, 1/6, 11/8, 21/8, -39/8, 
  0, -29/12, -21/8, 35/8, 25/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
  0, 0, 0, 0, -1, -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, 0, -2, -1, 2, -1, 0, 0, 0, 1, 1, 0, -4, 
  0, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 21/8, 0, 0, 0, 1/2, 0, 3/2, 1/2, 0, 0, 
  -36, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21/8, -9/8, -9/4, 9/4, 
  3/2, 0, -211/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -17/8, 
  1/2, 0, 1/3, -1/2, 0, 0, 1/3, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/3, 1/2, 1/3, 0, 1, 2/3, 0, 0, 0, 0, 16/3, 4/3, 0, 0, 0, 
  0, 0, 0, 0, -13/6, 2, -3/2, 0, -13/6, 2, 0, 0, 1/2, 0, 2/3, -1/2, -2, 0, 
  -2, 0, 0, 4/3, 0, 0, -8/3, 0, -2/3, 0, 0, -4/3, 0, 0, 3, -3/4, -13/3, -3, 
  -3/2, -1, -3/4, 3/2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/3, 0, 0, 
  5/3, 5/3, -7/3, 5/6, -5/6, 2/3, 1, 39/2, 1, 0, -11/3, -37/3, 37/3, -37/3, 
  -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -3/2, -13/4, -15/4, -35/4, 
  -1/3, -17/4, 11/4, -5/4, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 39/2, 1/2, 41/2, 
  1, 1/2, -2, -2, -1/2, -1/2, -39/2, -1, 2, 0, 0, -75/16, 0, -99/16, 0, 0, 
  -15/4, 33/4, 0, -9/2, 21/8, -9/16, -6, 9/8, 27/4, -81/8, -27/4, 0, -7/4, 
  -7/2, 15/4, 7/2, -2, 57/8, -45/16, -73/8, 9/8, -21/4, 3, -4, 0, 5/4, 29/12, 
  5/2, 1, -5/2, -1, 0, 0, 1/4, 0, -6, 6, 6, -1/2, 0, 0, 0, 0, 0, 1/4, 0, 
  -1/12, 0, 1/6, -1/4, 0, 1/2, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, -9/4, 0, 
  0, 0, 0, 1/4, 0, 0, 7/12, -1, 1/6, -21/8, 97/24, 1/2, 0, 0, 1/6, 3/16, 
  7/16, 0, 0, -5/12, 3/4, -15/16, 0, -1/4, 1/2, -5/48, -7/8, -5/6, 17/12, 
  1/6, -17/8, 111/16, 15/8, 1/4, 1/2, 0, 1/2, -5/2, 19/8, -5/6, 1/6, 41/48, 
  1/6, 17/24, 11/4, -43/16, 47/16, 9/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 35/12, 21/16, -1/2, -83/96, 1/8, -35/12, -63/8, 31/12, 0, 0, -33/32, 0, 
  -33/32, 0, 3/8, -1/8, 0, 163/96, 0, -9/8, -2/3, -3/2, 11/8, -5/8, -179/48, 
  51/16, 0, 0, -163/32, -25/8, 1/4, -1/4, 0, 3, -1/4, -1/8, 163/32, 99/32, 
  1/4, -63/32, 1/32, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 
  -1/2, -1/4, 1/4, 0, 1/2, -3/4, -1/2, 31/12, -4, 1, 1/4, 2, 3/4, 0, -1/2, 0, 
  1/12, 13/16, -1/2, 1/4, -1, 1/4, 3/4, 63/4, -5, 0, 21/4, -1/2, 91/12, 1/12, 
  17/16, 45/16, -29/4, -73/16, 0, 1/2, 1, 1/2, -23/2, -67, 207/4, 55/2, -1/2, 
  -67/12, -12, 67/12, 4/3, 8/3, 0, 3/2, 29/4, -6, -9/8, 43/4, 17, -1/2, 
  -31/3, -17/4, 15/2, 0, 41/6, 0, 53/12, 3/2, 9/8, -23/6, -1/2, 1/4, 47/4, 0, 
  31/12, 0, 0, -5/12, 29/3, 9/4, 5/12, -3/2, -1/12, -67/6, -11/12, 1/2, 
  29/12, -53/12, 1/12, 75/4, -13/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 4, 
  -2/3, 0, 1, -7/36, -5/12, 0, -6, 7/18, -1/2, 19/3, -1, 35/36, 7, -20/9, -7, 
  -23/9, -239/36, 7/18, 1/2, 1/12, 19/3, 16/3, 121/12, -329/24, -14, 355/6, 
  -401/12, 115, 301/18, -625/36, 127/72, 199/15, 179/18, 23/36, 34, -173/72, 
  -34, 127/72, -537/10, -1777/60, 1403/30, 7121/180, -113/2, 1/2, -1/2, 1, 
  65/12, -65/12, -35/3, -317/10, 163/24, 457/10, -67/3, -35/2, 725/24, 
  -153/10, -247/4, -3, -7, 0, 2/3, 0, 0, 2, 0, -3/2, -5, -29/4, -31/4, -8/3, 
  5/6, 43/6, 2/3, 0, 0, 0, 0, 15/4, 27/4, 9/4, 6, -3/4, -6, -19/2, -29/4, 
  -9/2, 23/4, 0, 0, 0, 0, 0, 0, -5/8, 13/6, 3, -7/2, 29/8, 4, -17/12, 13/16, 
  -5/4, 83/48, 73/6, -61/12, -625/36, 25/4, 75/16, 40/3, -7/12, -501/32, 
  -2419/96, -91/32, -271/48, 29/36, 725/32, 1/8, 17/8, 139/12, -7/12, 
  -645/32, -2371/96, 91/32, -133/16, 29/36, 861/32, 1/8, 9/8, -7/2, -35/8, 
  5/6, 61/16, 0, 19, 0, 0, 9, -9, 457/9, -1031/12, 33/4, -191/2, 325/18, 
  -23/2, 9, 23/2, 349/4, 473/30, -207/4, -3151/60, 23/2, -9, -19/2, 0, 1/2, 
  11/4, 21/4, 0, -1, 5/4, -2/3, -29/6, -5/18, 4, 1/3, 1/6, -1/2, -11/4, 
  -21/8, 2/3, 29/12, -1/6, 0, 0, 0, 0, -7/12, 5/4, -21/4, -3/4, 1/6, -5/4, 
  21/4, 59/12, -21/4, 0, -5/12, 17/4, 2/3, 43/6, -65/12, -1/12, 1/2, -23/12, 
  -1/6, 7/12, -5/4, 21/4, -67/12, -21/2, 17/4, 1/4, -43/4, 47/12, 1/6, 0, 0, 
  0, 0, 0, -1/4, 0, 19/8, 7/8, 11/8, -19/8, -5/8, -11/8, 0, 1/3, 17/12, 29/8, 
  23/24, -5/3, -13/6, -1/12, -25/12, 19/12, 0, -5/4, -3, 7/4, 3, -1/2, 4/3, 
  1, -253/48, -1/12, 1, -1, -1, -3/4, 1, 31/6, 351/32, 365/32, -119/24, 
  287/32, -7/24, -21/4, 23/48, -337/72, -755/96, 65/12, -149/24, 5/48, 
  -43/24, 137/24, 19/8, -5/6, -7/24, 23/24, -1/2, 1/3, -2, -9, -7, 9, 9, 
  -137/18, -303/80, 13/8, 257/144, 49/40, -367/144, -23/48, -49/24, -20/3, 
  -731/144, 2, 9, -7/4, -27/4, 9/4, 0, 0, 0, 11/8, 21/8, 1/2, -11/2, -21/8, 
  -1, 33/8, 1/2, -1/2, -91/24, -21/8, 2/3, 29/12, -1/6, -11/8, -21/8, 25/4, 
  21/8, -39/8, 29/12, 21/8, -25/24, 0, 0, 0, 1/2, 41/8, 21/8, 1, -11/2, 21/4, 
  1/2, -7/2, -2/3, 47/12, -1/3, 5/3, 1/4, -1/2, 11/4, -13/8, 2/3, -29/12, 
  -1/6, 0, 0, 0, 0, -1/2, -1/2, 51/8, 31/4, 13/4, 1, -139/8, -51/8, -21/8, 
  37/8, 2/3, -47/12, -38/3, -9/4, 43/2, 10/3, 5/6, 11/2, -23/3, -1/3, -1, 
  -59/8, -41/4, 45/8, 159/8, -15/2, 7/3, 221/24, -251/24, -7/6, 0, -1/8, 1/4, 
  -1/4, 0, -1/2, -27/8, -15/16, 1/2, -115/48, 5/2, -11/4, 165/32, 21/8, 9/8, 
  31/24, 1/12, -51/32, -107/48, 1/8, -1/12, 1/6, -25/16, 37/8, -91/48, 
  -21/32, -21/8, -1/12, -99/32, 163/48, 1/12, 1/4, -59/8, 21/4, -17/12, 0, 0, 
  0, -1/8, -101/24, -19/48, -53/32, 27/32, -31/32, 85/24, 101/9, 341/96, 
  -27/8, -73/9, -5969/120, 117/16, 1147/72, 7589/120, -19/144, -1/3, -29/12, 
  -1247/20, 0, -44/9, 0, -1/4, 33/32, 21/8, -1/4, -163/64, 205/64, 5/8, -1, 
  -13/16, -13/24, -29/12, -7/8, 271/64, 101/12, 1/6, 7/12, 1/4, -121/32, 
  -21/8, 313/64, -35/8, -3/8, 13/24, 67/96, -289/192, -1/24, 11/4, 21/4, 
  3/64, -25/12, 0, -1/2, 2, 9/4, -25/24, 1/8, -5, -21/8, 2/3, -17/6, -17/8, 
  25/8, 37/12, -1/6, 23/24, -11/8, -1/8, -9/8, -1/4, 4, 9/2, 19/8, 17/12, 
  -1/12, -10/3, -7/24, 1/2, -1/2, -1/2, -1/2, 0, 9/8, 11/8, -17/6, -223/32, 
  -1439/96, 0, -19/32, 7, 115/48, 41/9, 611/96, 11/6, -7, -53/16, -11/6, 
  41/8, -167/16, -23/8, -85/12, 539/48, 61/24, -21/4, 23/4, 49/48, 0, 4, 
  -11/4, -55/8, -241/24, -23/2, -65/24, -457/18, -97/80, 8, 3667/144, 
  653/120, -35/144, 2267/48, -31/24, -23/3, -1249/144, -4, -17/72, 13/8, 
  -7/3, 89/72, 3, 233/72, 21/4, -21/4, 0, 0, 29/24, 1/12, -21/8, -1/8, -2, 
  53/8, -2, 157/24, 19/8, 5/4, 53/24, 5/6, -107/48, -373/24, -73/16, -5/3, 
  11/8, 127/16, 13/24, 13/24, 79/24, 21/8, 19/12, -29/8, 31/8, 229/24, 67/8, 
  1/3, -77/8, -13/8, 0, 3, 13/8, 0, 0, 1/2, -29/8, 65/16, 0, -1/24, -41/24, 
  0, -1/8, 0, 0, 0, 0, 0, 0, 0, 7/8, 0, 0, 0, 0, -3/8, 3/4, 9/4, 0, -1/8, 
  -25/12, 0, 1/12, 0, 3/2, 2/3, -2/3, -531/32, -1327/96, 11/24, 37/32, 25/24, 
  0, -83/48, -109/216, 513/32, 29/108, -25/24, 11/48, -157/216, -57/8, 103/9, 
  61/8, 59/8, -317/72, 19/216, 11/2, -43/4, -11/36, 1/2, -67/18, -299/20, 
  653/72, 299/20, -385/72, 283/36, 317/48, -5/24, -1859/144, -541/12, 
  1087/144, 19/48, -731/72, 147/5, 731/144, -181/12, 2603/40, 97/4, 61/3, 
  -771/16, -33/4, -17/12, -377/60, -691/48, -14/3, -481/8, 315/4, 41/4, 
  733/24, -1/2, 0, 33/8, -5, -15/4, -1/8, 23/4, 9, 0, -5, 1, -15/8, 31/8, 
  -157/48, -89/12, -157/48, -4/3, -5/4, 353/48, 1/3, -13/4, 77/8, -15/2, 
  -25/8, -1/2, 14/3, -69/8, 4, -17/12, -5/2, -5/2, 5/2, -5/8, 103/48, 143/24, 
  171/32, 241/32, -37/6, -523/32, -523/24, -47/16, -45/16, -293/36, -71/32, 
  355/36, 469/24, 163/48, -115/24, -45/32, -221/32, -21/4, 13/32, 441/32, 
  53/8, 25/32, 55/12, -379/32, 2/3, 101/32, 21/4, -161/32, -211/48, 0, -23/6, 
  -3/2, 23/12, 3/2, 23/12, 242/9, 6607/720, 29/8, -5065/144, -1753/180, 
  257/144, -2375/48, -47/12, 8177/360, 1333/144, 23/6, 17/4, 21/4, -121/12, 
  -3/2, 1/2, -11/4, -21/4, 39/4, 0, 0, 0, 0, -7, 0, 1, -5/2, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -4, -2, 1, -1, 0, 0, 
  2/3, 0, 1/6, 0, 28, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, -1, 0, 0, 0, 4, 
  -3/2, -3/2, 0, -3/2, 0, 0, 0, 0, 0, -4, 0, -2, -8, 0, 0, 0, 9, 6, 23, 
  337/2, 7/6, 2, 0, 0, 191/4, 59/8, -161/4, -9, 0, 0, 0, -235/2, 0, 0, -75/4, 
  21, 0, 57/4, 33, 0, -12, 0, 0, 1/2, 0, 1/2, 513/8, -1/6, -509/8, 0, -1/2, 
  0, -466, 219/2, 0, 466, 9, 9/2, -31/3, 0, -709/20, 0, -983/2, 0, 1, -29/24, 
  -108, -671/20, 108, 1339/10, -3623/20, 12423/40, -249/40, -12423/40, 
  -24681/80, -2551/16, 269/12, 671/40, -269/12, -10069/40, 1277/8, 0, -1/4, 
  0, 3/2, 0, 0, 0, -4/3, 0, 0, -4, 0, 0, 0, 0, 15/4, 1/6, -1/2, 0, 0, 333/16, 
  3, 0, 0, 557/8, 1687/24, 5/2, -557/8, 0, 0, 0, 9, -11, 1, -5/2, 0, 0, 0, 
  -14, 22, 9/2, -17/2, 2845/96, 1559/96, 577/32, 0, 1/12, -5/6, 0, 0, 0, 0, 
  9/4, 0, 2/3, 44/3, 172/3, 0, -1/4, 0, 0, 5/4, 0, 113/4, -3, 0, -7/4, 
  1183/96, -2645/96, -16859/32, 157/96, 577/96, 1/6, -5/3, -3, 3/2, 1, 
  1007/48, 13135/48, 397/16, 135/16, 577/48, 6, 104/3, 0, 0, 1/3, 0, -5/3, 0, 
  11, 43/8, 18, 25/8, 0, -7/12, 0, 0, 0, 0, 0, -25/12, 0, 0, 0, 0, 0, 35/12, 
  11/2, -149/4, 0, -5/4, 0, 1, 0, -67/4, 0, 1, 5/4, 0, 0, 4/3, 0, 0, 0, 8/3, 
  0, 0, 0, -686/3, 763/12, 805/6, 1199/16, -343/3, 763/24, 805/12, 1199/16, 
  -1703/24, -1241/12, 691/48, 1867/24, 1805/24, -1831/48, -1265/12, 163/48, 
  1853/24, 4993/48, 0, 0, 0, -3/2, 1/2, 0, -3285/16, -1989/8, 109/8, 
  -3897/16, -3285/16, 19/16, -437/24, -5293/16, -223/10, -366/5, -1061/5, 
  3049/6, -1013/10, -3743/12, -1517/10, 3662/5, 2/3, 5/2, -53/4, 51/8, 
  -371/16, 33/4, -4/3, 139/16, -47/12, 1/6, 57/4, 141/4, -17/4, -32/3, -3, 
  1/8, 107/24, -53/48, -61/24, -151/72, 27/8, 146/9, -1105/36, -3791/72, 1/3, 
  1157/10, 88/9, 5969/60, -117/8, 0, 79/36, -21/8, -5/3, 67/96, 1/8, -79/36, 
  -35/8, 13/12, 0, -23/8, 195/8, 1/4, 51/8, -69/2, -5, 67/24, -65/16, 1, 
  19/12, 51/8, 41/4, 11/4, -57/8, 0, -1/4, -39/4, -1/2, 641/16, 1145/16, 
  -765/16, 1, 6, -1073/16, -1/12, -649/16, -359/8, 523/16, 1077/16, 121/8, 0, 
  -397/2, -153/2, 267/4, 677/6, -59/4, -1/4, 823/4, -111/4, 13/12, 397/2, 
  769/12, -319/6, -431/2, 149/12, 3/2, 3, -195/8, -169/4, 159/8, -85/6, -9/4, 
  301/8, 28/3, -3, 77/2, -7/3, 0, -7/4, -322/9, -103/8, 322/9, 117/8, 53/18, 
  3, -1603/72, 7/36, -79/9, -301/12, -749/48, 1465/72, 53/12, 487/36, 
  -5737/40, -46, -3487/72, 5737/40, 2513/72, -729/20, -679/120, -6187/240, 
  8941/180, 154, -1329/4, -2031/16, -245/2, 337/4, -213/16, -49/2, 225/8, 26, 
  -181/16, 209/8, 49/2, -1315/48, -205/16, 83/4, -83/4, -83/4, -1, -11/12, 
  45/16, 0, 9, 77/4, -18, -77/4, -9, 0, -5/12, 1/6, -21/16, 7/18, -23/12, 
  -1/6, 193/72, -277/24, -49/24, -1/2, 1/4, 101/12, 47/12, -97/12, -1393/36, 
  85/12, -353/48, 31/16, 1517/18, -2753/36, -1007/144, -1711/12, 67/10, 
  1139/36, 3/2, 421/144, 35/8, -337/32, 409/18, 199/8, 37/4, 2231/96, 
  -3377/288, -233/24, -1601/72, 1207/48, 2309/96, 37/144, -1687/48, 37/12, 
  -431/48, 57/4, -23/6, -11/12, 29/12, -23/24, 3/2, -16/3, -89/16, -9/4, 
  -275/12, -463/24, 161/12, 406/9, -121/12, 75/16, 743/16, -249/16, -199/16, 
  -92/9, 463/36, 1007/72, -70/3, -6107/60, 65/9, -1571/15, 8399/60, -7/3, 
  75/8, -5/8, 413/96, 61/32, 29/4, 71/24, -10/3, 199/96, 77/8, -71/32, 17/32, 
  1/4, 101/12, -1/3, -97/12, -2119/72, 27/4, -353/48, 3, -79/3, 9547/80, 
  19/2, 929/24, 13919/480, -259/16, 23/12, -15641/480, -146/3, -46/3, 
  -4881/80, 153/16, 5437/96, 5287/160, -319/8, -7/3, 179/192, -1229/64, 
  1307/192, 10355/64, -375/32, 19/12, 1375/192, 985/192, -11/24, -73/3, 
  8369/192, 2459/64, -15/4, -577/48, 13/8, -27/2, -319/16, -155/64, 235/64, 
  -43/32, 215/24, 92/3, 4811/192, -227/24, 1337/64, 395/64, -889/192, 
  -923/64, -95/192, -55/6, -1763/72, 289/72, 577/12, 851/6, 1, 5969/60, 
  -117/8, -1, -109/8, 0, 13/12, 343/24, -7/18, 5/12, 0, -127/8, 235/6, 
  -401/12, 0, 0, 233/2, 0, 0, 1/4, -45/8, 59/24, 7, 39/4, -4, -17/4, -127/24, 
  -41/6, 19/6, -1/8, 3/8, 0, 1/8, 0, -2467/72, 1277/72, 1847/72, 356/9, 
  203/18, 25/36, 1763/72, -1535/72, 47/72, 701/72, 137/32, 215/32, 46/3, 
  -535/24, -357/8, 961/24, -1099/96, -173/9, 3/8, 41/12, 3377/48, 1969/96, 
  -53/4, -1585/96, -79/32, 914/9, 20/3, 347/12, -689/6, 4567/120, 33/2, 
  -4347/20, -6217/120, -4477/120, 21361/360, -23/3, -379/12, 237/8, 23/8, 
  5/3, -287/8, -4107/40, 19/8, 725/12, 494/5, -1715/48, 2623/40, 5787/80, 
  -40037/240, -4411/40, 701/36, 2233/20, -193/12, -2779/144, -33281/240, 
  -1591/144, -175/12, -208/9, 9081/80, 781/36, -127/16, -1241/48, -101/12, 
  13/2, 463/16, -21/8, 715/24, 2219/72, -267/8, -79/4, -1367/32, 323/12, 
  -2/3, -293/4, -20603/96, -3639/32, 9649/288, -485/36, 3839/288, 721/72, 
  -5585/48, 401/12, 14/3, 6527/72, -1309/48, 967/36, -1843/60, 135/4, 82/9, 
  -2497/30, -391/72, 41/15, 73/5, 22799/120, -8573/180, 752/5, -215/4, 461/8, 
  -2536/15, -176, 19/36, -87011/360, 1541/72, 15679/288, 482899/1440, 
  5615/288, -539/40, 4379/360, -27955/96, 137/45, 0, -29/12, 42, -17167/20, 
  -9, -291, 0, 103/4, 0, 509/16, 1877/16, 0, 0, -505/8, 203/24, -90, 11783/5, 
  -9, 7/2, -311/32, -1429/96, 263/32, -39/32, -26593/80, -751/80, -43223/80, 
  -489/16, -563/2, -5873/96, -569/24, 787/48, 1095/32, -1287/8, -4045/16, 
  10037/40, 2503/12, 4801/16, -9/4, -33/2, -26/3, 0, -849/4, -1349/8, 
  4191/16, 1803/8, 661/16, 15/2, 8177/24, -2489/12, -10783/48, 495/16, 0, 
  -16139/96, 21021/80, 253/2, -9551/40, 799/2, -121621/960, -365/24, 
  71171/960, 29165/192, -133/3, -7295/24, 4855/32, 7549/48, -3017/96, 
  5969/40, -1057/2, -229/16, -351/16, 3331/12, -1325/8, -9107/40, -2457/40, 
  -493/2, -24071/120, 977/8, 33131/120, -653/8, -133/8, -1511/48, -2519/24, 
  569/24, 3767/48, 693/16, -14735/96, 2969/24, 7515/16, 15037/96, -38833/96, 
  -12123/32, -121649/160, 6829/10, -38473/160, 3015/16, 19057/96, 3185/24, 
  803/96, 3481/96, -4849/20, 183/5, 709/6, -29/2, -33419/64, 6889/192, 
  410731/480, 26439/320, 14121/32, -2897/16, 636/5, 287533/320, -363199/320, 
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  0, 0, 1/2, -1/2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 5/8, -1/2, 0, -1/2, 1/8, 
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  -1/2, -1/2, 0, -1, 1/4, -1/4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 
  1/2, 1/2, 1, 1/2, -1/2, -1/2, 0, 0, 0, -1/4, -1/2, 1/4, 1/8, 1/4, 0, 0, 
  -3/8, 0, 0, 0, 0, 0, -3/4, -7/8, 0, 1/2, 0, 5/6, 3/4, 7/24, -1/4, 7/8, 0, 
  0, -25/24, 0, 1/4, 1/16, -1/4, 1/8, -1/16, 0, -1/4, 0, 1/4, 0, 0, 1/8, 
  5/16, 1/8, 0, -3/4, -5/16, -1/2, 0, -1/6, -11/48, -1/6, 0, 11/48, 1/24, 
  1/24, -1/8, -5/16, 0, 5/16, 5/8, 0, 1/6, 11/48, -11/48, -1/24, 0, 0, 0, 0, 
  -1/4, 7/8, 7/8, -7/8, -5/8, -3/8, 0, 1/12, -17/24, -11/24, 7/8, 1/6, 1/4, 
  13/24, -17/24, -1/12, 0, -5/8, 0, 5/8, 5/4, 0, -1/3, 11/24, -11/24, 1/3, 0, 
  0, 0, 0, 0, 7/8, 1/4, -3/4, 1/8, -7/8, -11/24, 0, 19/24, 0, 1/4, 13/24, 
  -13/24, -1/12, 0, -7/8, 0, 5/8, 0, 11/24, -7/24, 1/6, 0, 0, 7/16, 1/4, 
  -3/8, 1/16, -1/8, -11/48, 1/8, -11/48, -1/16, -5/16, -1/4, 0, 1/24, -1/24, 
  1/6, 1/12, 0, -7/16, 0, 5/16, 17/48, 1/6, 5/16, 0, -1/12, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 0, 3/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -3/2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, -3, 0, 0, 3/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 
  0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 1/2, 
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  0, 0, 0, 0, 1/2, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, -1/8, -1/8, 1/4, 0, 0, 0, 0, 0, 0, -1, -1/2, 0, 0, 
  0, 0, 0, -1, -1/2, 0, 0, 0, -1/2, 0, -3/2, -1, 0, 0, 0, 0, 0, 11/2, -3/4, 
  5/2, -7/2, -9/2, 5/4, -5/2, 9/2, 11/2, 9/2, -21/4, 0, 7/8, 7/8, 0, -7/4, 0, 
  -3/8, 1/2, -11/2, 17/8, -11/8, -3/8, 5/4, 0, -11/8, 1/2, 3/8, 0, 0, 0, 0, 
  0, 0, 5/4, -5/4, 0, 0, 0, 0, 0, 0, 0, 13/8, -1/2, 1/2, 1/2, 0, -1/4, 1/4, 
  -1/4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 9/4, -5/8, -3/8, -1/2, -3/4, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 1/2, 3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 
  -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 
  0, 3, 3, -1/2, -7/2, 3/2, 3, 1, -7/2, -5/2, 0, 35/8, 9/2, -3/8, 5/2, -5, 
  -51/8, -9/2, 35/8, 3/2, 23/4, 23/8, -5/2, -31/8, -3/2, -21/4, -33/8, 5/2, 
  35/8, 0, 0, 0, 0, 5/8, 1, 1/4, -1/4, 3/4, 1, -1/4, 7/8, 0, -1, 0, -13/8, 
  13/8, -1/4, 9/4, 3/4, -3/8, -11/8, 3/4, 0, -3/4, 3/4, -11/8, 9/8, -5/8, 
  3/2, 0, 0, 0, 0, 0, 0, 0, -3/8, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/2, -1/2, 1/2, 0, 
  0, 1/2, -1/4, -1/2, -1/2, 1/4, 0, 0, 0, 1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 
  -1/2, 0, 0, 0, 1/2, 0, 0, 7/6, 7/2, 0, -49/18, -7/3, 0, 5/8, -1/2, 0, 1, 
  1/2, 0, 1/8, 1/8, -2/9, -1/8, 0, -15/4, 43/8, 0, 27/4, 0, 0, 0, 0, 0, -1/8, 
  -1/2, -1/4, -1/8, 23/8, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 
  0, 0, 3/8, 9/8, 1/4, -7/16, -7/8, 1/16, -7/4, -9/8, 23/16, 11/8, 0, 1/2, 0, 
  0, 0, 5/8, 1/4, -3/8, -1/4, -5/8, 5/16, 5/4, -11/4, -1/8, 3/16, 17/8, -3/2, 
  -15/8, 11/8, -11/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -5/8, 5/16, -17/16, -9/8, 3/2, 3, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9/8, 15/16, 
  3/16, -7/4, -3/4, 5/8, -9/4, -15/16, 7/4, 9/8, 0, 0, 0, 1/2, -1/4, 5/8, 
  -1/4, 0, 1/4, 3/8, 0, 0, 0, 0, 27/16, -1/4, 3/16, -3, 1/2, -1/2, -1/2, 3/2, 
  1/2, 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, 0, 0, 0, -1/2, -1/2, -1/2, -1/4, 0, 1/2, 1/2, 0, 1, 
  -1/2, -1/2, -1, 1/4, -7/3, -7/2, -7/6, -4/3, 0, 9/2, 7/3, 7/3, 7/6, 0, 
  -7/9, 7/3, 0, 0, 7/3, 0, 5/16, 1, -11/16, 1, -1/3, 11/6, 7/2, 7/6, 7/3, 0, 
  -7/2, -7/3, -7/6, 7/3, 0, -35/18, -7/3, 0, 1/3, 61/16, 1, 7/3, -11/16, 
  -5/2, -7/3, 1/3, -1/3, -7/6, -4/9, -7/3, 0, 0, 1, 1/4, 1/4, -1/2, 1/2, 
  -1/2, 1/2, -4/3, 13/4, -1/4, -53/18, -7/3, -2, -13/4, 49/8, 9/2, -43/8, 6, 
  21/4, -35/4, -4, 11/8, 0, -1/8, 0, -1/8, 0, -23/4, -1, -35/8, 9/2, 27/8, 2, 
  33/4, 17/2, -4, 35/8, -17/4, -15/2, 7/8, 9/2, 19/4, -43/8, -19/4, 0, -11, 
  -21/4, 55/8, 13/2, -13/8, -1/8, -1/8, 7/8, 1/4, 0, 33/4, 1, 5, -33/4, 
  -27/8, -9/2, -19/2, -49/8, 13/2, -27/4, -1/8, 35/8, 11/8, -5/8, -3/2, 
  -15/8, 13/8, 7/8, 0, 2, -4, -1/2, 11/4, -1/8, 3/8, 7/4, -1/4, 0, -3/8, 
  1/16, 0, 19/8, 0, 1/2, 0, 0, 3/8, -1/8, 1/2, -7/16, 5/8, 1/16, -7/4, -15/8, 
  7/16, 11/8, 1/2, -1, -3/2, -1/2, 0, 3/4, 1/2, -7/16, 1/2, -5/16, -1, -13/8, 
  17/16, 5/4, 0, -1/4, -3/4, -3/8, -3/2, 1/16, 0, 5/4, 19/8, 0, -1/2, 1/2, 
  3/2, 1/2, 0, 0, -1/2, 1/2, -1/4, 3/8, 0, 3/4, 1/2, 0, -1/4, -15/4, 3/16, 
  3/4, 1/2, 3/4, 13/8, 1/2, -9/16, -9/8, -3/16, -19/8, -7/4, 15/8, 21/8, -3, 
  1/4, 7/16, 7/2, 1/2, 0, 0, 11/4, 0, 0, 0, 0, 0, 0, 0, 81/16, 7/16, -43/8, 
  5/8, 0, 0, -39/8, 81/16, 53/16, -43/8, -9/4, 0, -5/16, -1/8, -3/4, -5/16, 
  0, 15/16, 17/16, 0, 0, 0, -5/16, -3/4, 37/16, 5/8, 0, 15/16, 1/4, 0, 5/8, 
  75/16, -7/8, 13/16, -1/16, 0, 0, 0, -13/8, 0, 1, -17/16, -29/16, 0, 0, 0, 
  -3/2, 0, 0, 0, 0, 0, 0, 31/8, 5/8, -19/8, 2, 0, 0, 0, -6, -3, 6, 0, 11/16, 
  11/16, 19/16, -3/16, 0, -3/4, -23/16, 0, -19/16, -11/16, -17/16, 5/4, 0, 0, 
  19/16, -1/16, 5/16, -5/4, 3/4, 0, 0, 0, 0, 0, 71/16, -1/16, -87/16, 0, 5/2, 
  0, -1/4, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 0, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -3/8, 0, 1/4, 0, 0, 0, -1/4, 0, 3/2, -1/8, 3/16, -7/8, -3/4, 1/2, 
  -49/24, -19/16, 3/4, 7/8, -1/2, -17/16, -1/4, 4/3, 1/2, 0, 0, -1/8, -3/4, 
  0, 1/4, -3/16, 7/24, 11/24, 1/8, -31/48, -1/12, -1/24, 1/8, 3/4, 0, -7/48, 
  1/8, -1/6, -7/12, 7/48, 1/24, 0, 0, 0, -2, -9/8, -3/4, 9/8, 9/8, 2, -3/8, 
  3, 1/16, -1/2, -5/8, 19/16, -5/6, 1/4, 2, -9/8, 0, -9/16, 3/4, -1/4, -9/16, 
  1/4, 7/8, 1/16, -5/8, 5/8, 7/16, -1/12, -5/6, 5/6, 0, 0, 1/2, -9/16, 0, 
  -1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/4, -5/8, 0, -1/4, 0, 0, 0, 0, 0, 0, 5/8, 1/8, 3/8, 0, -5/8, 0, 0, 0, 0, 
  -1/4, 5/8, 0, 0, 1/4, 0, 7/16, 1/4, 117/16, 7/16, 15/16, 0, -21/8, -7/24, 
  -17/4, 13/16, 5/2, -7/24, 1/8, -1/8, -103/24, 1/2, 631/48, 41/48, -53/6, 
  5/16, 0, 0, -11/18, 0, -1/8, 5/8, -11/16, -1/4, -1/3, 73/16, 5/8, 21/16, 0, 
  1/24, 1, 5/24, -5/2, -5/16, -1/3, -1/24, 1/8, 13/24, 3/8, -23/48, -7/2, 0, 
  -1/6, -19/8, 5/16, 1/24, -7/6, 0, 0, 49/18, 0, -13/8, -57/16, -5/4, -1/2, 
  -9/8, -1/2, 3/16, 1/8, 0, 37/8, 31/8, 1/2, -17/12, -7/8, -3, 7/6, 5/8, 
  49/16, 1/2, -47/48, 19/24, -1/2, -7/6, -769/48, -13/24, 75/8, -71/48, 0, 0, 
  10/3, 0, -3/4, -2, -5/4, -5/8, -9/8, 1/4, -1/4, 49/12, 31/8, 9/4, -5/3, -1, 
  1/12, -3, 25/24, 3/4, 21/8, 5/8, -1/2, -23/24, 0, 8/3, -257/16, 5/24, 
  109/12, -3/8, 0, 0, 31/8, 0, 0, 0, 5/8, -1, -1, 65/16, -31/8, -5/2, 79/8, 
  0, 13/4, 35/4, 0, 0, 15/8, -17/4, 47/8, 7/2, 85/16, 35/16, 0, -21/8, 1, -1, 
  39/8, 0, 15/2, 43/4, 0, -1, 13/8, 15/8, -5/2, 19/8, 23/4, 0, -19/4, -21/8, 
  17/4, 8, -25/8, 0, 15/2, -4, 0, 3/2, -17/8, 23/16, 1/6, -8/3, -37/4, -5/8, 
  1/8, 8/3, -15/4, -1/4, 7/8, -5/8, 0, 1/3, -1, 11/48, -1/12, 31/24, 0, 
  -83/48, 55/24, 0, 91/24, -23/8, -33/16, 1/4, 0, -1/4, 0, 19/32, 1/8, -1/4, 
  51/64, 1/16, 5/8, 25/64, 0, -17/24, -25/48, 1/12, -7/48, -1/6, 7/24, 0, 0, 
  -227/96, 5/4, -1/3, -81/64, 0, 0, 115/96, 11/12, 1/4, 0, 0, -1/4, 0, 0, 
  11/32, -1/16, 0, -47/64, 1/16, 0, 25/64, 0, -5/96, 3/16, -1/8, 1/48, 1/16, 
  0, -1/24, 9/8, 0, -91/48, 67/32, 15/8, 59/24, -49/64, 103/24, -75/32, 
  -59/24, -115/48, 1/2, 0, 0, -1/2, 0, 3/8, -1/16, -49/64, 1/16, 25/64, 0, 
  7/96, 3/16, 0, -17/48, 1/16, 0, -1/24, 1, 0, -1, 9/8, 7/4, 3/16, -105/64, 
  0, 121/48, -67/32, -11/8, -73/48, -11/12, 5/8, 0, 11/12, 0, 17/8, -15/16, 
  1/16, -7/2, 59/16, -1/16, -11/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -1/2, 7/8, -25/8, 27/32, 15/32, -13/8, -163/96, -259/96, 17/8, 
  -53/16, -55/32, 55/32, 53/16, 0, 0, 0, 0, -1/8, 53/16, -25/8, -3/16, 
  -55/32, 0, -31/48, -163/96, -23/24, 17/8, -37/8, -111/32, 57/16, 151/96, 
  -11/8, -5/16, -119/16, 87/16, -3/2, 59/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 31/16, -121/8, -7/4, 153/16, 17/4, 95/12, 61/6, -99/16, 
  255/32, 33/8, -33/8, -255/32, 0, 0, 0, 0, 0, 0, -3/4, 11/2, 3/2, 127/16, 
  25/4, -103/16, 3/4, 0, 3/4, -163/16, 7/8, 1/2, -13/8, -3/8, 3/4, -1/8, 
  -1/4, -4/3, -47/96, 49/48, 11/96, 1/3, 11/24, 5/32, -1/12, -7/8, 0, 3/2, 0, 
  -5/8, 19/12, 0, -4/3, -17/24, 0, 0, 0, -7/8, 1/4, -1/2, 11/16, 33/64, 1, 
  -33/64, 1/4, 11/24, -13/24, -23/96, -39/32, -1/12, 5/24, 0, 7/8, 0, 0, 
  -17/24, 0, 0, 0, 0, 1/2, -1/8, 3/16, -1/2, -1, -33/64, 0, 25/64, -2/3, 1/8, 
  1/96, -7/32, 29/24, 1/6, 71/96, -1/2, -3/2, 1/4, -29/16, -5/8, 11/6, 3/2, 
  -1/12, -4/3, 1/2, 0, -1/2, -1/4, 0, -13/32, 0, 0, 13/32, 0, -7/8, -1/4, 
  3/4, -1/8, 9/8, 43/48, 1/32, -23/24, 7/8, 0, -5/8, -17/24, 0, -7/8, -1/2, 
  13/8, 1/8, -3/4, 3/8, 1/4, 11/24, 1/4, 11/96, -19/48, -1/8, 7/6, -7/16, 
  -1/12, 1/6, -7/24, 1/24, -1/12, 7/8, 0, 0, -3/2, 0, 5/8, -17/24, 1/2, 
  -5/48, 1/12, 1/12, 0, 0, 0, 1/4, 3/8, 1/16, 49/64, 1/4, -29/64, -19/24, 
  -7/16, 0, -23/24, 0, 7/24, 0, -7/16, -1/8, 5/16, 0, 1/8, 11/48, 1/24, 
  -1/12, -1/24, 0, 0, 7/16, 0, -1/6, 0, 0, -17/48, 1/12, 0, 0, 0, 0, 0, -1/4, 
  -9/8, -23/16, 3/8, -1/2, 5/16, -11/16, -1/2, -1/16, 1/3, 25/24, -1/4, 
  -45/32, -1/8, 5/8, 25/24, 0, -1/12, 1/12, -3/8, -1/6, 0, 1/4, 5/4, 9/16, 
  -3/4, 13/48, 5/4, 5/16, -3/8, 0, -1/12, -157/24, 5/48, -1/2, -13/24, -3/16, 
  -1/4, -11/24, 0, -1/24, -1/8, 5/16, 0, -5/16, -9/8, 0, 1/2, -11/48, 35/48, 
  -3/8, 0, 0, 0, 0, -1/2, 13/16, -53/16, 1/16, 29/16, 253/64, 5/2, 99/64, 0, 
  1/2, -9/8, -1/2, 77/48, -17/16, 5/16, 97/48, 35/32, 0, 13/8, 1/2, 29/6, 
  15/4, 0, 13/8, 5/4, -3/16, -21/16, -35/16, 13/16, 7/2, 91/32, 33/16, 0, 
  -23/6, 115/48, 41/16, 55/48, -7/6, -215/96, -145/24, -91/24, 211/24, 
  433/24, -1/8, 17/16, 0, 71/48, 0, 0, 35/24, 21/16, 23/48, -97/24, -15/8, 0, 
  0, 45/8, -1/8, 11/32, 1/8, 3/16, 1/32, -1/8, -1/8, -3/8, 1/16, 1/24, -5/12, 
  -1/8, 1/4, 23/48, 5/16, 1/12, 0, 0, 1/24, -1/24, -1/12, 0, 0, -47/96, 
  15/16, 1/8, -25/96, 3/16, -5/16, 1/8, 0, -1/4, -25/96, -5/48, 19/24, 17/48, 
  -1/16, 1/3, 0, -5/6, -1/12, 11/24, 5/16, 0, 5/16, 5/8, 0, -1, -19/48, 
  -11/48, 13/24, 0, 0, 0, 0, 1/8, -3/16, 1/8, -7/16, 23/32, -27/16, 5/16, 
  23/32, 0, 1/12, -55/96, 5/48, -121/96, 37/96, -1/24, -23/32, -3/16, -49/32, 
  19/16, -27/16, 0, -35/96, 7/4, -169/96, 23/32, -11/8, 0, 11/8, -3/4, -7/16, 
  -1/4, 3/8, -13/16, -1/8, 17/4, 11/48, -1/8, -95/24, 59/16, -1/12, -3/16, 
  -25/16, 1/24, 3/4, 7/16, 0, 3/4, -5/16, -115/32, 55/48, -95/48, 257/96, 0, 
  0, -7/16, -1/4, 13/16, 3/16, -3/8, 1/16, 1/8, 11/48, 0, -7/12, -1/6, -1/2, 
  35/96, -1/8, -1/24, 1/8, 1/48, 37/96, -1/24, -7/16, 0, -1/2, 0, 0, -1/8, 
  5/16, 1/4, 47/48, 139/96, -37/48, -17/48, -1/3, -11/24, -83/96, 1/12, 7/8, 
  0, -5/8, 0, -19/12, 0, 5/8, 17/24, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -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, 6, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 
  -1/2, 0, 0, 7/12, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 
  0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 14/9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1/2, 
  -1, 0, -1/2, 0, 0, -1, -1, 10/3, 0, 0, 0, 0, 1, 0, 14/9, 0, -28/9, 0, 14/9, 
  0, 3/2, 3/2, -1, 7/2, 0, -1/2, 0, -1/2, -7/4, 1/2, -33/4, 0, -9/2, -1, -5, 
  -7/4, 15/4, 11/4, 7/4, -1/2, 1/2, 0, 1, -7/4, 3/2, 3/4, -1, -1, -21/4, 
  -5/4, 1/2, 0, 0, 0, 10/3, -1, 0, 0, 1/2, 1/2, 35/6, 0, 0, -3, 0, 0, 0, 0, 
  0, -1/2, 0, 0, 0, 0, 1, 0, 0, 0, -1/2, -1/2, 0, 1/3, 0, -1/2, 1/3, 0, 0, 0, 
  0, 1/2, 0, 0, -1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 7/12, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1, 
  0, -1/2, -1/2, 0, 0, -28/9, 0, 163/18, 0, 0, 0, 0, 1, -1, -1/2, 0, -1/3, 0, 
  -28/9, 0, 95/9, 95/9, 343/80, -463/80, -61/4, 13/4, 13/4, -13, 0, 9, 9/2, 
  7/2, -5, 5/2, -1/2, 3/2, 7/4, -23/4, -17/4, 3, 13/4, -11/4, 33/4, -51/80, 
  47/16, -59/20, 77/4, 11/2, 19/2, -9/2, -2, -5/2, -5/2, -1, 15/4, 3/2, -9/2, 
  3/2, -7/4, -1, 0, 1/2, 0, 0, 0, 0, 0, 1, 7/3, -1, -1, 7/2, -4/3, -3, 0, 0, 
  0, 0, -2, 2, 1, -3, 1, 2, 0, -2/3, 0, 0, 0, 0, 0, -1/8, -1/4, 0, 0, 0, 0, 
  0, 0, 5/2, -5/2, -1/2, -167/48, 161/48, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/4, 
  -417/16, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/8, 0, -5/2, 3/2, 9, 9/2, -11/4, 0, 0, 0, 0, -1/8, 11/2, 
  0, 0, 0, 0, 0, -1/8, 1/8, 0, 3/4, 0, 3/4, -5/8, 0, -3/8, 0, 0, 0, 0, 0, 
  1/8, 3/8, 0, -1/2, 1/4, -37/24, 3/4, 3/8, -13/12, 0, 0, 0, 0, 0, -1/8, 
  -3/8, 0, 1/2, -1/4, 0, 1/4, 0, -21/16, 0, 0, 0, 0, 0, 0, 1/8, -1/8, 0, 3/4, 
  0, 1/4, 5/8, 0, -1/4, 0, 0, 0, 7/3, 1/4, 5/4, 11/8, -9/4, -2/3, -19/48, 
  19/48, 0, -1/2, -1, 1/2, 0, 0, -1/2, -7/3, 0, 7/4, -5/8, -3/8, 11/12, 
  529/48, 0, 1/2, 0, -1/2, 0, 1/2, 0, -11/12, 3/4, 11/12, -2/3, -49/18, 0, 
  20/9, 7/9, 0, 7/9, -1, -5/18, -7/9, 3/2, 107/40, -5, 9, 0, -7/8, 0, -7/4, 
  -3/8, 19/8, 5/2, -9/2, 0, 7/8, 0, 1/8, 1/4, -1/8, -17/4, 3/4, 0, 0, 65/48, 
  -41/16, 0, 0, 0, 0, 0, -169/16, 389/24, 0, 0, 0, 0, 0, 0, 0, 0, -1/16, 
  51/16, 0, 0, 0, 0, 0, 0, 0, 0, 107/24, -35/48, 23/16, 0, 0, 0, -97/36, 0, 
  0, 0, 0, 0, 1/8, -77/48, -3/8, 71/32, 7/48, 0, 0, 0, 0, 0, -23/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 27/16, 0, 0, 0, 0, 0, 0, 0, 1/4, -1/4, 0, -27/16, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 691/12, 39/16, 
  0, 0, 0, 0, 17/8, -17/8, 5/8, 2, 3/4, 3/4, 39/16, -21/8, -35/16, -51/16, 
  45/8, 11/4, -11/4, -2, 0, 151/96, -281/96, 245/96, -1/4, 17/96, -3/8, -3/8, 
  0, 0, 0, 1/2, -1/4, 0, -1/16, 0, -13/8, 13/8, 421/16, 0, 9/16, 0, 0, 1, -1, 
  -3/2, -373/54, -1/4, 2957/432, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/12, 0, 1/4, 
  0, 0, 0, -1/6, 5/4, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/4, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 127/110, 0, 
  -126/55, 0, 0, 0, 0, 0, 1, 1/2, 0, 0, -2, -201/55, 1/2, 637/110, 5/2, 
  -11/2, -9/2, 47/2, -5/2, -59/10, -327/40, 5/2, 17/5, 0, -1319/80, 53/8, 
  5/2, 73/8, 0, 18, 19, 2, -67/2, 5/2, 21/2, -5/2, -7, -11, 3/2, 6, 4, -5/2, 
  -23/80, -1/4, -3/8, -3/2, 0, -1/2, 1/2, 11/16, -3/4, 3/4, -1/6, 0, -3/4, 0, 
  -1/2, -1/3, 0, 0, 0, 1/2, 0, 5/8, -3/8, 0, 7/8, 0, 0, 0, 0, 0, -41/48, 
  13/48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, -17/12, -5/24, 3/8, -1/4, 0, 0, 
  0, 0, 7/4, 0, -7/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/8, -9/8, -1/4, -3/2, 9/8, 
  0, 1/6, -1/4, -1/6, -1/6, 1/6, -1/6, 0, 0, 0, -1/2, -2/3, 0, 0, 0, 0, 0, 0, 
  9/8, 11/8, 0, -3/8, -3/4, -3/4, 3/4, -7/2, -7/2, 0, 7/2, -7/3, -3/8, 
  265/24, -7/3, 19/3, -119/32, 15/4, 15/4, 0, -19/4, 4/3, 179/144, 1/3, -5/8, 
  -97/144, 0, 0, 1, 0, 0, 109/9, -121/9, -109/9, 0, 28/9, 0, -40/9, -28/9, 
  -545/18, -827/48, 0, -13/48, -2579/72, -2/3, 0, -1099/48, 7/3, -25/8, 
  -25/8, 3/8, -493/16, 7/3, -1461/32, 0, 2305/96, -3/4, 7/2, 7/2, -3/8, 
  181/24, 7/3, 5/2, 11/2, 1, -10/3, -5/6, 3, 3/4, -17/8, -5/6, 5/3, 3/2, 
  211/96, -1/6, 11/24, -49/12, 0, 365/96, -11/12, -61/96, -49/12, -175/96, 
  365/96, 29/32, -13/4, -15/4, 0, 15/4, -493/144, -2, -53/12, 0, 71/24, 
  -265/144, 7/4, 7/4, 3/4, -7/8, -61/24, 0, -10, 0, 0, 10/3, -7/16, -10/3, 
  -17/6, 0, 0, 0, 0, 0, -1, 5/3, 1, 1, -11/8, 23/24, 25/24, 2, -3, 0, 100/9, 
  0, -100/9, -100/9, -181/18, 0, -349/18, -1553/144, 0, -2711/144, 1/4, 
  -1183/72, 161/9, -13/2, -7, 0, -202/9, -1921/144, 0, -325/48, -3/4, 
  -2087/72, 35/6, 4/3, -95/72, 15/4, 31/9, -4, -45/4, 1/8, 13/2, 3/2, -1/4, 
  -9, 3, -41/4, -443/16, 37/4, 395/16, 9/4, 7/2, 43/4, -16, -17/8, -1/2, 
  23/2, -25/16, -79/16, -17/4, 227/480, -383/40, 531/80, 7/10, -711/80, 
  -65/8, -61/10, -126/5, 143/48, -39/2, -764/15, -141/80, 603/40, -67/2, 
  3571/160, 31/2, 707/40, -133/10, 49/4, 537/80, -8, -1183/80, -11/2, 113/4, 
  -5033/160, -11/2, 25/2, -18, -39/4, -25/4, 1169/32, 9, -1169/32, -33/4, 
  -25/4, 1029/32, 9, -1109/32, 17/4, -5/4, -12, 9/4, 155/16, -13/4, 35/4, 
  593/16, -22, -273/8, 1, -5/4, 5/4, 19/8, 7/4, -3, 15/8, 45/4, 4, -109/16, 
  -13/8, -13/4, 109/16, -7/8, -13/4, -5/8, -6, -15/16, -69/8, 35/2, 35/16, 
  27/8, 31/8, -1/2, -59/4, -15/2, 1/8, -53/16, -3/8, 5/2, 43/8, 197/16, 
  147/16, -51/8, -243/16, 77/8, -13/16, -183/16, -25/16, 15/32, -1, -379/16, 
  -29/2, 51/2, 355/16, 11, 601/16, -229/16, -151/4, -569/16, -19, -15, 
  477/16, 28, 101/8, -2069/288, 5/4, 1/4, -5/4, -1/4, 1, -1/12, 17/24, 
  -167/24, 149/24, -11/4, 11/4, 7/4, -1, -19/8, 0, 25/8, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -169/36, 1/3, 3, 203/288, 5/6, -581/288, -1649/288, 
  581/288, -11/12, 5/6, 97/48, -1649/288, -77/16, 0, -2, 5/4, -1, -1, -1/4, 
  -16/9, -19/12, -65/24, 101/24, 83/288, -389/288, 461/288, 67/6, 363/16, 
  -445/48, 0, 433/48, -191/48, -13/8, 0, 93/8, 145/48, 11/4, -11/4, 0, 1, 
  -71/8, 139/24, -793/48, 3/2, -3/4, -335/48, 0, 347/48, 25/16, 43/8, 0, 0, 
  0, 0, 0, 0, 0, -3/8, -5/8, 0, 0, 0, 0, 0, 0, -11/8, -4813/288, 1, 5605/288, 
  13/8, -5317/288, -5893/288, 0, -451/144, -3/8, 1463/96, -31/32, 191/12, 
  -25/32, -101/16, -197/48, 47/24, 491/96, 155/96, -197/48, -109/96, 491/96, 
  157/32, 0, 4/9, 0, 0, 0, 0, 13/8, -17/8, 1, -9/8, -1, 7/16, 0, 0, 0, 0, 0, 
  0, 1775/96, 0, 101/32, 43/4, 65/4, -25/32, -11/32, -77/48, 47/96, 71/32, 
  -23/32, 0, 0, 0, 591/8, -6233/144, 257/48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -5/2, 0, 0, -125/3, 159/8, 3629/96, -2, 9/8, 2, -9/8, 0, 3/2, 61/16, 3/2, 
  9/16, -9/16, 27/16, 1247/96, 85/6, -3/4, 203/24, 0, 0, 0, -13/3, 449/96, 
  -1/4, -1, 0, 0, -1, 0, 0, 115/4, -251/8, 319/12, -86/3, 43/8, -1, 26, 86/3, 
  1, -115/4, 1163/24, 75/8, -535/18, -205/12, 25/16, 55/8, -65/16, -55/8, 
  5/2, -1/16, -229/32, 13/4, -1/2, -13/2, -27/16, 63/16, 35/4, 0, 0, -21/16, 
  -19/4, 0, -709/12, -1/4, 65/8, 1/4, -27/16, 23/8, 75/8, 1/8, -75/8, -3, 
  9/8, -309/32, -11/2, -15/4, -117/8, -27/16, 193/16, 231/16, -27/16, 3/4, 
  27/8, -1, -27/8, 1/4, -47/8, -273/32, 9/4, -31/8, 39/8, -45/16, -17/8, 
  213/16, -9/16, 71/12, -5/3, -83/48, -197/96, -155/48, 83/48, 0, 
  -41617/1728, 131/96, 0, 22/3, 1/8, 19427/432, 9/16, -3/8, 41833/1728, 
  -47719/2592, 3/16, -42925/576, 48205/2592, 43471/864, -57745/1728, 45/8, 
  62515/1296, 197/24, 1301/96, -30745/864, -58951/1296, -1/8, -47287/2592, 
  3/16, 1/4, 49177/2592, -1/8, -42157/1728, 45/8, 87473/2592, 197/24, 
  -51067/1728, 1073/96, 155/12, -82667/2592, 1/2, 3, -3, -35/16, 101/4, 
  -227/16, -3, 23/4, -9/16, 0, 23/8, -1/8, 0, 231/16, 0, 0, 2, 3, 0, 13/8, 
  -25/8, -5/4, 25/8, -3/8, -21/8, 11/16, -27/16, 2, 33/2, 9/16, -737/32, 
  -77/8, -9/16, 3, -3, -7/16, 25/16, 1/16, -1/4, -3, 1/4, -3, 0, 0, 0, 0, 0, 
  0, 0, 0, 5/4, -1573/144, 100/9, -1, -19/16, 989/216, 3/16, 3281/288, 
  -3281/288, -2957/864, 0, 0, 0, -5/4, 1897/432, -2/3, 13/48, -2957/864, 
  -1/12, 0, -1/24, -35/32, -7/32, 0, 0, -1/24, -3/8, 3/32, 0, -1/8, 0, 0, 0, 
  -1/4, 0, 1/4, -1/12, 0, 0, 0, 1/12, 0, 0, 33/64, 0, 67/192, 0, -3/16, 
  -1/16, 0, -33/64, 0, -1/16, 0, 0, 56/9, 1/4, 0, -56/9, -1/4, 0, -5/2, 2, 
  -69/8, 10/3, 209/12, 17/2, -5/4, 23/2, -89/12, 15/8, -1/4, 4, 141/32, 
  35/96, -515/64, 33/32, 1/3, -373/32, -193/48, -1/12, 77/48, -11/8, -117/32, 
  -29/16, 1/8, 1/6, 0, 0, -3/4, 0, 0, 0, 1/12, -1/4, 7/4, 0, 1/4, -1/6, 
  13/16, -41/32, 17/32, -5/4, -9/32, 1/3, 7/16, -145/48, -1/12, 89/48, -1/4, 
  -103/32, -29/16, 1/8, -1/4, -3/16, -25/32, 11/8, -33/32, -25/8, 1/3, 77/48, 
  -197/96, -1/12, -13/24, 53/32, 7/16, -109/32, -11/4, 0, 0, -19/16, 161/36, 
  -11/16, -161/36, 0, 0, 0, 1/4, 0, -1/4, 0, -1/96, 47/64, -211/192, 0, 
  -17/16, -115/64, 0, 19/24, -129/64, 0, 0, -1/96, 1/2, -7/96, -29/16, 0, 
  -17/16, -115/64, 0, 45/64, -353/96, 175/64, -129/64, 7/8, -371/288, 0, 0, 
  -7/8, 1235/288, 1/12, 0, 0, 0, -1/12, 0, 0, -3/8, -17/16, -3/2, -7/16, 0, 
  11/16, 0, -107/12, 41/3, 3/4, 0, 21/16, -21/8, -7/8, 0, 0, 0, -21/16, 
  -19/8, 21/8, 0, 0, 21/16, 21/16, -115/16, 257/64, 0, 1/6, 701/96, -1/4, 0, 
  21/16, 5/2, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/3, 0, 1/4, 1/3, 1/4, 3/16, 
  15/32, -7/16, -7/8, -13/32, -1/48, -7/16, 25/48, 7/48, 179/96, -1/12, 1/8, 
  -59/32, 0, 0, 167/64, 63/32, -3/8, -3/32, -5/8, 0, -71/48, 5/8, 1/16, 
  -167/64, -319/192, -5/32, 217/192, 13/192, 7/12, -1325/144, 881/48, 
  -1521/64, 345/64, 0, -611/384, -517/96, -955/192, 57/16, -41/24, 985/64, 
  -293/24, 0, 0, 0, 3/4, -1727/48, 107/48, -77/4, -4667/144, -437/64, -338/9, 
  2743/144, 4985/144, 121/24, 877/24, 23/36, 207/16, -6901/144, -14/9, 
  -55/16, 209/48, 3/4, 9/8, 619/72, -113/16, -1/8, -715/48, 1561/64, 13/8, 1, 
  -385/64, 0, 0, 35/16, -9/8, -1/16, 0, 769/48, 1057/48, 0, -11/12, 
  -7609/576, -1/4, -953/72, -7/3, -23/24, 3451/96, -59/8, 13/12, -37/12, 
  -1/16, 1577/144, 1165/48, 607/24, -947/48, 4811/192, -6937/576, 3/4, 
  -11105/576, -7/3, -1/8, 3659/144, -105/16, 1/8, 407/16, 1, 13/72, 405/16, 
  -179/48, -923/48, 25/24, -6217/576, -1/4, -21695/576, -1/2, 685/64, 55/96, 
  -2753/192, -69/32, 0, -97/32, 89/32, -1455/64, -7/32, 137/4, 83/32, 
  -565/16, 0, -229/16, -121/48, 23921/6912, 1541/96, 0, 0, -41/96, -1541/96, 
  1/3, -32273/6912, -1265/96, -18451/2304, 1631/96, 17795/2304, 143/64, 
  743/96, 187/48, -865/192, -889/96, -5/16, -215/64, -479/96, 919/96, 25/12, 
  21227/1728, 1343/192, -17875/2304, 541/96, 18947/2304, 9/8, 15/2, 187/48, 
  -9, -3, 5/8, -355/64, -479/96, 211/32, 25/12, -6733/432, 1589/192, 
  56573/2304, 937/96, -57805/2304, 221/48, -385/16, -1259/48, 893/48, 985/48, 
  -221/48, 285/16, 8831/144, 0, 0, -133957/4320, -121/24, 132971/2160, 1/16, 
  0, -3217/216, -1159/96, -1/3, 133957/4320, -160871/2160, 3853/216, -5/16, 
  47/12, 97/8, 159/16, 259/48, 227/24, -1/8, -1097/96, -627/32, -439/48, 
  625/96, 120637/4320, -107/16, -161411/2160, -13/16, 43/8, 137/16, 8, 
  1411/48, -607/32, -447/16, -587/96, -43/8, -397/48, -25/2, -933/32, -7/24, 
  0, -349/18, 55/16, -71/16, -425/64, -2519/72, 184/9, 317/48, 145/24, 161/9, 
  5/4, -5729/144, 0, -13/2, 28/3, 33/16, 47/16, -441/64, -1/2, 1235/72, 
  -1/48, 1/2, 13/2, -2825/144, 5/4, 214/9, 1697/144, -61/6, -425/144, 113/48, 
  1159/48, 511/18, -11/16, 53/8, 157/48, -2137/72, -65/12, -407/8, -739/48, 
  -187/16, 9905/144, 1921/144, 0, -301/72, 113/48, -1/4, 1003/72, -3/16, 
  121/24, 29/12, -895/72, -7/2, 229/72, -487/48, 5/6, 10493/144, 383/48, 
  13/8, 151/8, 5/2, 5/4, 6679/240, 533/120, 482/15, 9/2, 39/8, 51/80, -17/40, 
  7, 3007/80, -35/2, -1/4, -61/16, -2149/240, -89/8, -1493/60, 49/8, -2, 
  51/4, -55/8, 2, 121/8, 0, -27/4, -7/8, 39/16, 2, -187/16, -41/4, -1361/32, 
  43/8, -17/16, 5/4, -61/8, 39/16, -193/16, 141/8, -187/16, 47/16, -41/4, 
  -35/4, -1053/32, -11/16, 39/16, -61/8, -267/8, 0, -123/16, 207/16, 7, 
  477/16, -11, -7/2, 55/8, -201/16, 57/4, -543/16, -103/4, 31/8, 23/16, 21/8, 
  -79/8, 31/8, 259/16, -15/16, 1/4, 49/16, 127/16, -175/8, -89/16, -79/48, 
  -889/32, 5/8, -17/4, -187/16, -129/8, 465/64, 787/16, -25/8, 20/3, 11/16, 
  -137/16, -347/64, 239/48, 347/48, -113/6, -1649/144, -745/96, 0, 529/36, 
  769/96, -359/144, 6931/240, 4897/480, -5063/240, -7189/360, 1/48, 53/2, 
  227/16, -555/16, 2, 51/16, 99/16, 3/2, -17/32, -65/16, -145/32, -55/8, 
  -103/16, 107/96, 59/16, 5/4, 0, -13/4, -5/4, 0, -13/6, 145/96, 131/48, 
  187/24, -1511/576, -1001/144, 1205/576, 0, 180599/5184, -119/48, 
  58879/1728, -149023/10368, -274349/3456, 0, -2183/144, -207721/5184, 0, 
  -12985/1152, 224245/5184, 275645/3456, -38593/1728, 223591/10368, -125/48, 
  395743/3456, -123043/10368, -273269/3456, 54289/1728, -923/48, 
  -195025/5184, -7/36, 236021/10368, -9241/1152, 0, 219433/5184, 275645/3456, 
  -13/8, 232339/10368, -125/48, 310637/3456, -162679/10368, -259193/3456, 
  46093/1728, -923/48, -180193/5184, -7/36, 428825/10368, -5017/1152, 
  -1715/576, 203629/5184, 265595/3456, -9/8, 9/8, 1/6, -2407/80, 52/3, 117/5, 
  -505/24, 407/96, -7/3, 1791/40, -395/16, -301/36, 1/2, 221/32, 605/144, 
  3095/96, -797/72, 0, -13/8, -2177/240, -179/36, -13/3, -279/16, -7/16, 
  -17/8, -5/8, -341/48, -381/8, -1/2, 995/48, 377/8, -107/8, 2309/48, 809/24, 
  -2681/48, -42, 109/4, 41/8, 55/4, -153/4, 11/8, -259/24, -1/2, 253/24, 
  3/16, 833/24, -101/8, -40, 35/6, 13/48, 49/4, -239/8, 5/8, 0, 3/4, 3/2, 
  13/4, 0, 0, -13/12, 0, 0, 0, 0, -1/2, -3/4, 3/8, 13/4, 39/8, 13/2, 2/3, 
  2/3, -10/3, -1/6, -1/2, 0, 3/2, 1/2, 0, 39/16, 7/2, 9/16, -193/32, -63/16, 
  83/32, -51/8, -7/2, 209/32, 63/16, -1/4, 0, -7/4, 1/4, 0, 19/8, 
  -76783/10368, 175/48, -312149/3456, -2705/10368, 258545/3456, 95/9, 
  1573/72, 50737/5184, -1439/72, -1505/64, -155/32, 26, -103/96, 11/192, 
  -49/16, 41/24, -545/32, -3/16, -105/32, -157/24, -29/32, -169/96, -715/96, 
  -377/48, 0, 0, 0, 0, -341/96, 0, 0, 0, 0, 0, 5/24, -601/48, -7/128, -3/16, 
  -5/64, -3/16, 17/128, 1703/192, -2, 1295/192, -22/3, 0, 0, -13/32, 1/8, 
  -35/96, -137/24, 85/128, -41/32, 179/128, 77/24, -7/36, 1135/192, -79/24, 
  -25/128, -3/16, -47/128, -37/64, 0, 175/8, 1955/96, 49/16, -2467/96, 
  -661/32, 45/32, -56/3, 31/96, 87/4, -23/8, 125837/3456, 381/16, -269/16, 
  -1743/32, -22195/1152, -3/8, 413/24, 49/16, 13/8, -953/48, -7/8, -61/3, 
  31/96, 1135/48, -23/8, 60281/3456, 433/16, -623/32, -2371/32, -23347/1152, 
  -857/24, 1093/48, 337/48, 0, -4, -30103/480, 0, 0, -9/2, 0, 0, -431/48, 
  6355/144, 33647/480, -113/48, 9/2, -457/18, -15803/1080, 5843/144, 285/8, 
  141613/2160, -959/144, 191/4, 6953/432, 4337/288, -325/36, 15803/1080, 
  -13087/144, -77647/2160, 7253/144, -625/16, -349591/10368, -43/24, 
  -334037/3456, 235111/10368, 315905/3456, 32381/480, 32123/1440, 
  -235211/5184, -52733/1440, 23/4, -9/2, -23/4, -93/16, -859/480, -11/12, 
  5149/480, -23/4, 9/2, -3/4, 6529/480, 0, -1/8, -5/8, -21/8, 0, -3/8, 19/32, 
  1/24, 47/24, -1/36, -157/48, -1/12, -1/24, 1/8, 5/8, 21/16, -463/144, 3/8, 
  -1/6, -5/8, -5165/144, 1/24, 0, 0, 1/2, 0, 0, 175/18, -215/32, 21/8, 2, 
  -433/72, -9/8, -121/32, -59/12, 45/16, 0, 6, -187/96, 143/36, -355/24, 
  503/96, 1/6, 43/3, 1/8, -175/18, 307/24, -21/8, 17/24, 51/8, -2, -148/9, 
  247/48, -7/48, -9/2, -251/48, 0, 0, -211/36, 0, -21/8, -31/16, -1/2, 5/16, 
  31/16, 11/16, 37/16, -3/16, 0, 77/24, -9/16, -13/6, -35/6, -71/24, 0, 5/12, 
  -55/12, 0, 2, -9/8, 17/8, -9/8, -1/8, -2, 0, 191/16, -1, -9/8, -9/8, 0, 
  -55549/2592, 95/144, -73/64, 95411/2592, -67/18, 45/64, -18905/1296, 3/16, 
  17/24, 1555/288, -28787/1296, -155/32, 20525/1296, -7/24, 2149/288, 
  -4871/648, -739/324, -28255/648, -1141/288, 47/16, 98405/5184, -319/288, 
  -33103/2592, -1609/288, 27331/1728, -7/8, -257/144, 0, -11/4, 11/4, 0, 
  -683/32, 1/16, 149/64, 331/16, 39/64, -17/24, 7/48, -175/24, 7/24, 0, 0, 
  -9/4, 0, 1, 157/8, 5/8, -1939/192, -485/24, 0, 27/16, 7/8, 1/2, -13/8, 
  -1/8, 3/4, -3/8, -1/4, -4/3, -19/32, 1807/432, -595/192, 1/3, 11/24, 
  -11/288, -1/12, -7/8, 0, 3/2, 0, -5/8, 19/12, 0, -3749/864, -17/24, 0, 0, 
  0, -1/8, 3/16, -5/32, -1/4, 15/8, -2, -1/8, -3/4, 1/8, -31/432, 1/2, 
  -35/24, -1/4, 1/8, 7/48, 1051/440, -835/432, 493/144, -5/24, 4427/432, 
  -455/432, -1/24, -7/12, -17/8, -28/9, 89/72, 1/8, 5/4, 55/8, -47/16, -15/2, 
  -59/8, -39/8, 83/8, 323/16, 7/4, -107/8, -13/2, 7/4, 563/24, 3, -359/12, 
  -41/2, -33/4, -149/4, 847/24, 235/6, -37/8, 15/4, 53/16, 115/16, -2467/160, 
  -39/8, 49/12, 9/16, 671/24, 45/8, -47/16, 17/16, 99/8, 131/48, 49/16, 
  -1/24, -11/16, -1/4, 1/4, -39/8, -49/32, -3/8, 235/64, -5/8, 35/24, 25/24, 
  1/24, 61/16, -11/48, -7/12, -1/24, 1/6, -1/12, -61/16, 13/96, 311/64, 
  -21/16, -1/6, 847/96, 11/48, 1/24, 1/8, 0, 0, 0, 0, 0, -185/16, 15/16, 
  161/16, 0, -125/36, -169/16, 0, 0, 185/16, -13/8, -81881/3456, -1273/32, 
  1337/64, -1/4, -1, 5929/96, 0, 81881/3456, 951/32, 1585/1152, -4915/96, 
  -25651/1152, 327/16, 1/8, -327/16, 443/288, 0, 311/16, 0, 0, -1065/32, 
  -27/16, -21/16, 317/64, -75/16, -1/12, 229/16, -14, 0, 411/32, -27/16, 
  1227/64, -229/16, 27/8, -1/8, 1, -1/2, 159/64, 69/32, -25/32, -23/32, 
  13/32, -5/24, -11/24, 29/24, -29/96, 5/3, 1/12, -19/48, 1/8, -1, -21/16, 
  -29/24, 1091/192, -273/64, -1/6, 227/192, -237/32, 5/48, 0, 0, -5/2, 0, 
  -1/4, -109/24, -1/24, -11/16, 1/8, 2419/144, -1285/144, 3/16, -27/16, 0, 
  1/3, 667/48, 49/24, -79/36, 83/12, -7/24, -1/12, -13/6, -37/18, 0, 145/72, 
  -11777/864, -13/8, -61/24, 37/8, -1/2, -373/144, -94/9, 29/16, 1355/144, 
  -37/48, 1/2, 0, 77/72, 0, 1/4, 151/64, 107/96, 65/64, 893/192, 209/96, 
  -45/64, 1/8, 0, -25/24, 31/32, 1129/96, -235/96, -1/8, 3/8, 1/24, 
  129059/6912, 5245/192, 43/8, -6031/6912, -227/16, 1/32, -1513/96, 5/2, 
  -1903/96, -49/24, -88283/3456, 115/32, -63/32, 81/4, -1/2, 547/72, 445/48, 
  11/16, -1427/144, -691/48, 353/24, 1/4, -2515/96, -15/16, -2773/576, 
  575/24, -1/192, 3/8, 701/48, 35/8, -5/24, -547/72, -619/288, 17/6, 91/48, 
  -409/144, -153/16, 67267/12960, 27371/864, -1131959/25920, 15533/1296, 
  -2123/288, -89/24, 35/8, 18859/864, 1/2, 0, -137/24, 23/12, -3/8, 823/72, 
  5/2, 65/32, 2, -29/32, 0, 3, -11/48, -217/96, -11/48, -233/96, 1/3, 11/12, 
  -11/96, -1/3, 119/24, -221/24, 0, -1/4, 1/16, 7/8, 1805/72, -301/48, 
  -135/16, -11/8, 383/48, 0, 1/2, 193/36, -1, -29/8, 69/8, -5479/480, 5/8, 
  -13/12, -397/24, 19/4, 1823/120, 1/8, 293/240, -883/32, 3603/160, 
  15757/480, 4553/120, -14323/480, -113/24, 1/4, 41/12, 0, 1, -13/8, 5/16, 
  -179/32, 485/16, -63/8, -285/64, -61/8, 175/64, -1, 21/16, -17/20, 131/12, 
  3863/240, -13/4, -53/120, 37/32, 167/4, 33/8, 2915/192, 8, -115/8, -167/80, 
  -215/24, -7313/240, -1507/120, 91/48, 3/4, 377/64, 157/48, -3, -287/32, 
  -351/32, -9/2, 977/64, 37/16, -767/64, 1, 2659/40, 625/48, -23/16, 
  -7699/120, 31/16, -1, -15809/240, 43/4, -13/4, 85/32, 695/96, -25/4, 
  839/64, 15/64, 127/64, -2999/40, -1543/96, 2159/120, 25919/240, -707/96, 
  3/8, -271/64, 989/48, 65/8, 11/16, 17/16, -367/64, -19/32, -491/32, -53/16, 
  225/64, -3/4, -447/64, -115/48, 19/6, 865/96, 6681/160, 2461/96, 
  -17381/480, -19/24, -29/12, -2299/40, 19/6, 1/2, 29/32, 0, -37/6, -87/16, 
  351/64, -11/4, -85/16, 281/48, 125/24, -7/8, 0, -15/4, -73/24, 0, 1/4, 
  55711/2592, -113/144, 33/64, -63721/2592, 115/72, -33/64, 527/288, -19/24, 
  -83/54, 26735/1296, -935/432, -481/144, 7/24, -637/432, 56465/7776, 655/48, 
  -13/8, 8873/128, -4699/1728, 15/32, 198475/15552, -145/36, 1079/216, 
  1471/432, 448837/10368, 29/32, 55/32, -1043/864, 0, -21/4, -311/16, 433/32, 
  319/16, -249/32, -1/4, 4267/480, 1, 71/64, 77/48, -395/64, 19/24, -65/48, 
  -1037/48, -7/24, 667/48, 343/96, 25/8, -79/6, 103/8, 153/16, 1003/480, 
  -217/32, -2575/192, -351/160, 3263/96, 25/4, -33/8, -571/96, 0, 3/4, -5/4, 
  3/16, -13/8, 0, -21/16, -13/32, -33/8, 29/32, -3/4, 37/24, 169/96, 107/48, 
  877/96, -1/12, -7/24, -29/96, 1/12, 0, -37/8, -23/16, -49/16, -5/8, 13/6, 
  37/8, 23/16, -13/6, 1/2, 0, -1/2, -43/16, 1, 11/8, 77/8, -55/16, -43/16, 
  -87/16, 39/16, 103/16, 15/8, -112877/3456, -1003/32, 95/32, 5845/96, 
  24931/1152, -3/4, 151/16, 19/16, 55/64, -235/96, 15/8, 99/64, -249/32, 
  -25/32, 35/24, 79/32, -907/64, -4/3, 1163/192, -11/24, -95/96, -1105/128, 
  25/16, 4775/216, 217/8, -259/16, 143/192, -31/48, -3569/96, 221/32, 21/8, 
  0, -25795/1152, -181/96, 0, 23/6, -3, -23/3, 3, 23/6, 1/4, -28043/1440, 
  1/8, 7787/192, 6437/360, -1737/64, -19/24, -11/16, -20689/720, 7/24, -23/6, 
  37/4, 115/12, -6, 1, 30203/1440, -7117/144, -11521/960, -3881/480, -25/4, 
  0, 5/4, 23/8, 0, 0, 0, 3/4, 0, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -20/33, -347/220, 0, 0, 0, -14/9, -126/55, 197/80, -9, -877/80, -35/8, 
  -5/2, -877/80, -1/2, 159/16, -1/4, 0, 0, 0, 9, 0, 1, -8, -7/6, -8, 0, 0, 0, 
  0, -3/4, -11/6, -70/9, 2657/144, 0, 185/36, 0, -44/9, 1/2, 0, 0, 127/8, 0, 
  211/36, -121/48, 0, 0, -2/3, 35/16, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 1/2, 0, -1, 42961/648, -539/48, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 
  0, -11/12, 0, 0, -1, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 
  1/2, 0, 0, 0, -1, 0, 14/3, 0, -1, -2, 42961/648, 42637/648, 1/2, -539/48, 
  -5/2, 0, -5/8, 0, 0, 0, 383/48, 121/48, -4523/288, 1/2, 0, -122/165, 
  1197/440, 0, 0, 0, 0, 1023/280, -27/56, -95/16, 0, 0, 0, 15/16, 0, 0, -7/2, 
  0, 0, 0, 0, 0, -15/16, 0, 0, 7/2, 0, 0, 673/440, 122/165, 74/55, 236/165, 
  -1197/440, -1197/440, 189/220, 0, 0, 0, 441/55, 0, 1/2, 0, 0, -673/440, 0, 
  7/12, 0, 1/2, -71/60, 0, 0, 0, 0, 501/220, 0, 28/9, 0, -12367/990, 
  -248441/480, 2273/100, 11467/800, 22777/280, 343/20, 319/40, 2183/56, 
  -627/80, 11/8, -759/16, 783/16, 60879/800, 162201/800, -133517/2400, 
  250517/1200, 20571/160, -1, -7/3, -65/2, -33/2, -1067/80, 5, 1, -67/2, 
  -11/2, -51/8, 6947/240, -1561/120, 3097/120, -1003/40, -2921/240, 15/16, 
  -336317/5184, -332267/5184, 7/4, 125/12, 0, 1, -15/16, -253/48, -127/16, 
  15/32, -15/32, 1, -7/2, -15, -133/6, 7/4, 7/2, 83/8, 0, -1/2, -35/24, 0, 0, 
  -35/24, 16, 15/16, 7/16, 761/48, 0, -2/3, -5/4, 0, 433/192, -77/192, 
  -15/32, 15/32, -119/12, 7/2, 0, -7/4, -79/48, -7/4, -7/4, -7/2, 41/8, 0, 0, 
  139529/5184, 1939/1080, 0, 0, 56/9, 140/9, 88241/2880, -56/9, 25169/1728, 
  -5071/1728, 0, 0, 0, 139529/5184, 3/4, 0, 1939/1080, 15/4, -56/9, -140/9, 
  214949/4320, 3, -126569/5184, 164585/5184, -139529/5184, -134345/5184, 
  -157673/5184, -5, -2, -13/4, -1939/1080, 5/2, 2, -56/9, 28/9, -12541/288, 
  56/9, -12397/288, -5063/2160, -3397/144, 5857/144, -2587/288, -3373/288, 
  1/2, 1/2, 3/2, -8035/144, -671/288, 177/16, 7/96, 965/32, 1811/288, 56/9, 
  35921/1728, 10865/1728, 36785/1728, 7409/1728, 6, 0, 5, 0, 0, -217109/4320, 
  0, -219269/4320, 0, -6, 2017/4, -21/2, -155/4, 31807/224, 820293/1120, 
  2008/75, 5670053/5600, -8205/224, 7133/40, -20409/40, -941/40, 367/144, 
  4813/56, 3069/56, -17723/864, 1/2, -85/36, 18155/864, 3827/288, 37/16, 
  -1769/168, -3733/112, 5927/112, -111/4, 103/4, 77/2, 0, 0, 0, 0, -383/48, 
  -4379/144, 0, 5, 1, 383/48, 121/48, 511/18, 0, 0, 0, 0, -2, -19/2, -25/3, 
  0, 0, 0, 383/48, 4139/144, -133/16, -35/16, -251/33, -17603/176, 
  -1690639/7920, -1179/22, -171682/1485, -236/9, -13/8, -23/2, -337/4, -1/3, 
  3/2, 2, 0, -1/2, -215/12, -41/8, -11/2, 727/3, 5/2, 0, 0, 0, -11/16, 
  167/96, 3/8, -17/6, 0, 0, 0, 0, 857/16, -7/2, 0, -7/16, 0, 0, 0, 2/9, 1/6, 
  -2/9, 39/4, 7/2, 0, -21/2, 31/48, 31/4, 3/2, 9/4, -298/3, 37/12, -15/4, 
  -27/4, 5, 15/4, -19/3, -5/4, 371/32, -69/8, -319/48, 39/4, 0, 0, -5, 0, 
  27/16, 451/3, -3545/48, 5, -451/3, -3, 337/18, -89/6, 13/3, -182/9, 
  -8389/60, 819/40, 17363/120, 2961/40, 1585/6, -113/24, -25/8, -2477/288, 
  -19/24, -43501/432, 1/2, 43501/432, 1, -43231/432, -88217/864, -113/48, 
  86813/864, 13/24, -86597/864, 65/2, 561/40, -129/4, -803/6, 4547/40, 
  -41819/240, 359/80, 42209/240, 25111/160, 10247/96, -83/6, -561/80, 163/12, 
  9809/80, -1295/16, 15/16, -15/16, -15/16, -1229/96, -167/12, -48745/1728, 
  3/8, 48745/1728, -979/96, 0, 487/48, -233/36, -1229/96, -167/12, 
  199733/3456, -47125/3456, -1265/96, -971/3456, 208445/3456, 0, 0, 0, 0, 0, 
  -17339/1296, 0, 15/64, 2/3, 0, 29/6, 1/12, 2, -1/4, -1/6, 0, 2, 0, 
  -853/144, 0, -7/8, -1/18, 0, -7/18, -44/3, 31/12, -9601/72, -59/36, 0, 
  35/8, -245/288, 0, 1763/15840, 27/16, 3/4, -13/24, -41/24, 0, -2, 0, 
  1197/440, 0, 481/24, -3/2, -63/110, -111/16, -15539/1584, -4247/660, 55/4, 
  109/9, 0, -2807/72, -1687/72, -1, 2807/72, 31/6, -1163/16, -999353/4800, 
  -367867/1200, 1519327/2400, 917177/2400, 437903/4800, 4, -6639/16, 
  -7699/32, 101/4, 7787/32, -3589/8, 13/3, 83881/480, 43/4, -80743/480, -7/2, 
  19/8, 437/8, -83/4, -4, 61/8, 199/8, -13, -229/4, -73/4, 9/32, -359/8, 
  -2439/80, -6913/80, -11159/120, 4921/30, 6117/80, -2605/192, 18143/128, 
  -1775/192, -625/64, -35893/2592, 71/48, 5/6, -305/64, -1/6, 2623/324, 
  23/12, 0, -167/192, 1757/162, -17177/6912, 11/4, 337829/3456, 141/32, 
  -30209/6912, 5449/2304, 107/24, 638359/6912, -38/3, -5933/144, 17/4, 
  3111/40, 1/6, -125/96, -7/4, 0, -263/96, 12, -224/5, 431/18, -5/4, 
  -5171/240, -373/64, 2645/192, 118561/384, -71/64, -203/64, -1/12, 7/8, 2/3, 
  -3/4, -7/8, -321/32, -33389/384, 50449/384, -147/32, -677/96, -13/32, 
  -191/48, -451/18, -871/48, 0, 0, 161/768, 0, 787/768, -1542749/20736, 
  -414833/6912, 5759447/20736, 30733/2592, 1445057/20736, -1557005/20736, 
  -460625/6912, 2787127/10368, -45263/2592, 667327/10368, 0, 227/48, 
  -601/144, 7/8, 0, -130645/576, -61/54, 5/16, 0, 2/3, -155/288, 0, 47/24, 
  745997/8640, -78151/5760, -544873/1728, 166337/8640, -186265/1152, 0, 
  -4261/192, 12, 349/288, 4597/192, -381859/1440, -17080241/21600, 
  1138247/2304, 454159/1728, -1016411/3456, 0, 172049/20736, 3/4, 9/8, 
  -4683197/21600, 381859/1440, 1563929/7200, 17064041/21600, -7/3, 0, 
  -1043/24, 0, -25/6, -88001/20736, -37001/10368, 449057/6912, 5/4, 31/144, 
  152743/6912, 830887/20736, -173801/10368, 173441/6912, 191/8, -17191/1200, 
  -149/24, 4747/400, 9/8, -55099/2700, -97517/17280, -9925/54, 18713/3456, 
  -41241997/86400, -180121/10800, -2252329/14400, 339697/4320, 5829187/43200, 
  27068167/86400, 2/3, 8741/2400, -13, -797/800, -245/48, -758/27, -223/48, 
  -475/36, 1549/216, 4895/64, 123749/1728, -223/96, -53135/576, -227/432, 
  16517/192, 133517/1728, -259/96, -33359/576, 367/27, 813373/6912, 
  14540833/103680, -2403403/20736, -1048393/4320, -18648463/103680, 
  -14203/192, 235/16, -64603/432, 57/8, 9035/54, 545/48, -16909/108, 203/24, 
  40741/576, 1471/144, -389/48, -17477497/311040, -2217503/20736, 
  -23598487/311040, 109319/10368, -68887/5184, -317545/10368, -131891/10368, 
  -2574899/38880, -1855/72, -157177/5184, 113/24, 424777/10368, 
  -11296001/155520, -572255/3456, 23129/432, 2077493/6912, -47407/576, 
  4319/864, -876917/6912, 23993/864, 2757733/6912, 150785/1728, -50223/256, 
  156223/1152, 2525/32, -74611/864, -66227/432, 652777/6912, 157337/3456, 
  8423/96, 965/96, -120331/864, 60065/6912, 0, 37/2, 0, 0, -5419/480, 
  58001/864, 57769/720, -21403/432, -5419/960, -151021/4320, 57589/1440, 
  66583/960, 378017/8640, 3404281/19200, 13542763/103680, 372841/103680, 
  -924089/3456, -164474123/518400, 0, -20/9, -251/12, 11/9, 20/9, 
  4459159/4800, 4739/120, 1977/20, 4529/240, 2880689/4800, -23/240, 
  -10883/40, 9469/192, -745/192, 0, 487/24, 3015/64, -135/16, -745/24, 
  28909/96, 5353/192, -917/16, 2189/32, 9749/96, 3139/448, -9331/48, 79/3, 
  3577/432, 71075/576, 26009/288, 1137/16, -1169/288, -27605/288, 4, 8183/96, 
  2845/48, -301/32, -443/48, 31327/288, -25793/288, 97/120, 156001/1440, 
  232261/1440, -4, -7655/24, 1013/30, 26113/144, 106477/480, -1259/5, 
  1057613/15552, 861809/15552, -8323/96, 791/6, 423385/7776, -29981/432, 
  -214793/576, -7/12, 7/4, 347/32, -275/48, 155/16, -29/32, 17/24, -667/32, 
  653/96, -1/12, -19/24, -255/16, -4, 459/4, 27/32, -7/48, 33013/1728, 9/32, 
  85/48, -2315/144, -27/16, 117389/2592, -67193/10368, 487/64, -19577/648, 
  -73/9, -25453/240, 63523/240, 1183/72, 40637/480, 5615/288, 1/8, -2449/24, 
  -5943/80, -44/9, 901/16, -50567/160, -3547/160, 813/8, 5633/96, 0, -7/8, 
  7/16, 46747/1296, 562393/10368, -7809647/20736, 1/2, -329/576, 183/32, 
  13/48, 7/8, 21/8, -15691/324, -23/72, 0, 283/16, -987/8, 509/48, -805/32, 
  1961/48, 1/16, 6013/288, 3175/96, -509/16, -1779/32, 9763/192, -268/9, 
  -75/16, -4583/576, 205/24, -1695/128, 897/64, 145/48, -1090487/6912, 
  -91109/1728, 2215487/6912, -2327/192, -311/32, 4915/48, -307/96, 
  1021175/6912, 29125/864, -2336039/6912, -4397/48, 349/144, 0, 42071/1080, 
  -39775/288, -2441/48, -1048349/4320, 273/32, -175/24, 11705/216, 749/32, 
  -217/12, -42071/1080, 5239/144, 481439/4320, -20347/432, 14527/144, 3/4, 
  1417/36, 9/4, 1739/144, -33/4, 61/3, -11053/432, -41/12, 253/24, -695/18, 
  -2101/288, 36881/864, 0, 13975/2592, -21829/864, 91/24, 182891/10368, 
  27715/864, -37981/3456, -63977/648, -2413/288, 555277/5184, 673/72, 
  -1921205/10368, -5743/864, 64559/1728, -469633/5184, -21907/1152, -271/24, 
  2345/48, 23/2, -463/48, -6509/120, 331/16, 251/48, -2481/80, 23017/240, 
  461/16, -1125/16, 1379/16, -1019/32, 3769/48, -27/8, 63/16, -863/72, 
  -511/64, 445/36, 275/64, -289/48, -547/432, 1189/192, 25/12, 3641/288, 
  -3641/288, 1877/864, 12725/1152, 69433/864, 197/72, -20083/216, 
  -32197/1152, -34199/1728, 49/96, 237/32, -171/16, -12581/384, 12581/384, 
  59/48, 0, 1/4, 9/2, -1/4, -125/16, -1075/108, 251/320, 37/2, 0, 3443/864, 
  13/72, 673/72, -1397/288, -1/24, 2743/72, 1/12, 355/144, 2783/288, 731/24, 
  -1/4, -1/8, 409/96, -35/48, 1326533/20736, -10212011/95040, 3542407/20736, 
  109/24, 8147/288, -619517/5184, -31/8, -1489973/20736, 245405/2376, 
  -88805/6912, 666767/5184, -45049813/285120, -1517/36, 9077473/86400, 
  -17571/440, 2753/72, 660773/11880, -56/9, 1715/24, -13007/240, 13121/1440, 
  -281/18, -11714023/86400, 15873719/35200, -125737/1485, 1024909/8640, 
  -126328241/316800, -3/2, 1381/288, -184303/10560, 10633/576, 
  -1036091/31680, -7507/576, -87/8, -3745/192, 4765/576, 499/48, -31/288, 
  -39317/10560, 3215/576, -573/32, 589/32, 703/120, -85627/400, 579099/1600, 
  17287/240, 14957/80, -85501/960, -16463/200, 678981/3200, 12501/160, 
  13075/384, -81/4, 1915/12, 397/24, -479/24, -525/8, 1069/24, -5169/32, 
  -655/4, 701/32, -115/24, -221/36, 4825/144, -223/24, -161/8, 6229/240, 
  6715/72, 1351/30, -6713/240, 325/24, -61/8, -97/16, 51341/960, 32141/960, 
  -1925/96, -2093/80, 865/48, -8869/192, -149/64, -8711/480, -17387/960, 
  -1/12, -3/64, -7/4, -73493/2592, 164363/5184, 224909/3456, 1/4, 581/36, 
  -32723/864, 0, 19267/2592, -177721/5184, -75119/864, 29213/864, 
  269143/5184, 155/18, -145/16, 1721/120, -911/144, -31897/960, 745/36, 
  -5/12, 797/96, 22889/480, 91/18, 31/6, 5405/48, -1417/192, -255/32, 341/32, 
  1/2, 283/48, -303/32, 23/8, -9073/48, -561/32, -25/48, 127/32, -337/32, 
  1/16, 335/64, -395/64, -195/32, 97/64, 545/192, -3/8, -3641/192, 155/24, 
  -1277453/20736, -64295/1728, 657193/2592, -55/16, -185/144, -193765/5184, 
  77/24, -118051/6912, -2057/64, 654871/10368, 265/6, 26113/1152, 457/18, 
  172999/8640, -7987/288, -495/16, -143233/2160, -1237/288, -143/3, 
  -37963/864, -1649/80, 1291/144, -172999/8640, 44413/576, 981479/4320, 
  51821/1728, -28439/576, 445219/20736, 2665/288, -13/16, -99125/2304, 
  287177/20736, 0, 51307/1296, 187661/10368, -3389/432, 155/72, 486871/10368, 
  3881/288, -3/8, 324127/20736, -5/8, 361/72, 755827/21600, -60499/576, 
  113/144, 215407/4320, 359/144, 61447/4320, 175831/1728, -79439/2160, 
  269/27, -1459/48, 4402447/10800, -215/16, -2015531/10800, -11/8, -119/24, 
  2893/24, -479/48, -415/48, 11263/288, 727/64, -253/48, -1615/144, 2021/288, 
  197/16, -21671/576, 38/9, -145/16, 1915/64, 14/9, -461/18, -248317/10368, 
  1015/36, 787/24, -40025/10368, -8417/288, 43259/576, 197/64, -650995/10368, 
  -9443/288, 29494897/311040, 490633/3456, -3193271/155520, -4234223/20736, 
  -56011/11520, -106193/2304, 15017/432, -155/24, 208439/2304, 4715/864, 
  -3391/384, 4927/48, 1685/144, -274745/1728, -1745/96, -1066295/6912, 
  -369/8, 59627/2304, 328961/1728, 2267/64, -457/18, -25103/1080, 661/18, 
  1433/24, 266951/4320, -5995/144, 108683/4320, 1118/27, 281231/2160, 
  -4937/108, 26183/1080, -11779/144, -115919/4320, -16231/2160, 3223/72, 
  259/72, 14879/320, 113423/960, 4417/180, 322877/4800, -476/45, 2653/40, 
  -91679/2400, -5699/96, -6073/720, 98893/224, 2619187/67200, -3124691/4800, 
  302291/5600, 3183251/13440, 1675/72, -8331/80, 1175/48, -2801/288, 
  32681/480, 3167/288, -1567/12, -715/18, 301/15, 17029/144, 985997/8640, 
  2529767/17280, -91763/4320, -152035/1728, 3952/135, -579/32, 24667/192, 
  -13219/192, 33797/448, 129/16, -17687/2688, 319/48, 9355/72, -20713/192, 
  -2897/48, -50760859/362880, 2363579/17280, -61034807/362880, 106379/1620, 
  -682049/5184, 8077/128, 40097/576, 9/2, 1577/96, -12185/576, -6727/384, 
  -817/18, 6011/288, 25501/576, -2819/144, 136769/10368, 659/24, 675839/1728, 
  -141161/5184, -11671/1152, -7061/144, 13099/720, -133/12, 2435/72, 
  6863/180, -70/9, 163/5, -55153/480, -71077/576, 35527/720, -58931/360, 
  437/12, -1789/36, 7077/40, -3029/48, -9/16, 3124399/38880, -661/48, 
  -108067/864, -4974799/38880, 1726/27, 103507/960, 377143/2880, 
  9682231/38880, -41167/720, -5744309/47520, 3560123/76032, 181843009/285120, 
  -24680087/95040, 311570993/1140480, 0, -27/64, 1229/192, -105/4, 13/16, 
  11553/20, 0, 0, 42961/324, 41665/324, 20377/2160, -15173/2160, 189, 0, 
  -14/3, -92561/2880, -719/48, 325/72, 0, -37/2, 0, 2, 427/440, 17779/1080, 
  -56/9, -289/18, -167/330, -56417/3960, -26567/480, -63/220, -427/440, 
  14/55, 1975/48, 158533/2592, 155185/2592, 60, -117/16, -31113/20, 
  17263/528, 1535609/23760, 83431/2880, 166477/8640, -1225/144, 212759/4320, 
  -7, -20743/264, -301553/2376, 30407/1296, -21893/864, -963/8, 
  1403723/10368, 3521/30, 66781/480, 159259/480, 1121/96, 12455/96, 2723/128, 
  66157/1728, -191/64, -79441/1728, 725833/10800, 518357/4320, -42557/216, 
  -1179337/8640, -34003/144, 181/18, 487/48, 247/8, 1553/144, 16465357/77760, 
  35501/288, -41046419/155520, -2218907/10368, 10603/120, -722659/3456, 
  -6527/48, 2684549/6912, 25493/576, -6559/144, -968485/1728, -1247/24, 
  872833/1728, 293651/1728, -48241/480, 8495/864, 13525/72, -150485/864, 
  -3184789/21600, -97079003/190080, 836557/8640, -79599307/79200, 
  392485/1728, 12175393/95040, -160113643/190080, -248669/864, 
  34794349/95040, -18457/480, 2074873/23760, 196261/960, -205507/4320, 
  -2282257/23760, 12159929/16800, -251243/5600, -74782943/50400, 
  -9617911/33600, 521041/960, 70114/135, 45587/8640, -1246667/4320, 
  -91111/864, 717341/8640, 66845083/362880, -80437/3456, -28350401/45360, 
  -405643/3240, -9654731/45360, -622225/10368, -87533/432, 936055/10368, 
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  49/4, 59/4, 9, -14, 199/24, -209/24, -209/12, -29/24, -5, -25/2, 8, 31/4, 
  0, -1, 1/16, 13/16, 1, 25/48, 11/16, -13/4, -21/32, 7/4, 13/4, 19/48, -5/6, 
  -57/16, -163/48, -9/4, -2/3, -7/24, -99/16, -37/8, -113/48, 2, -31/8, 5/6, 
  73/16, 377/48, 19/24, -7/8, -253/32, 85/8, -155/24, -27/4, 0, 29/72, -1/2, 
  -2761/432, 997/144, -1601/288, 1549/288, 9/32, 707/144, -251/144, -95/18, 
  -659/144, 1/3, 221/40, 7/16, 11/6, -187/80, -1/24, -17/12, -89/48, 211/80, 
  0, 1, 0, -1/2, 27/32, -3/8, -1/4, 133/64, 137/64, 21/8, -71/16, -5/2, 
  -7/12, -29/24, -15/8, -321/64, 131/24, 4/3, 73/24, 1/2, -109/32, 15/4, 
  -35/64, -293/32, 35/8, 7/12, -151/96, 1795/192, 5/12, 39/16, -87/8, 541/64, 
  97/48, 27/4, -1, 11/16, 17/8, -7/4, 15/8, -43/12, -3/2, 59/24, -53/48, 
  -5/8, 15/4, 91/24, -19/12, 13/24, -5/6, 0, -29/8, 5, 61/8, 19/2, 15/4, 
  43/8, -109/12, -139/12, -7/4, -59/24, -9/2, -15/8, 19/8, 0, 9/4, -5/108, 
  -155/144, -1655/288, -7615/864, 11/12, 31/32, 4, -23/72, 115/72, 2087/432, 
  -3/4, -4, -43/18, -1/6, -27/16, -1115/144, -11/48, -289/144, 457/48, 65/24, 
  15/2, 173/48, -163/48, -41/8, -103/36, -9/16, -15/16, 187/36, 7/8, -29/24, 
  -13/24, 611/120, 3/16, 35/144, -461/120, -9/16, -43/48, -9/8, 8/3, 29/16, 
  103/36, -157/24, 27/16, -73/12, 91/24, 3, 193/24, -15/2, -8, 27/4, 0, 
  -5/24, -25/12, 3/8, 3/8, -19/2, 39/8, 0, 191/24, 11/8, 23/8, 245/48, 
  -35/24, -5/24, -35/6, -9, -167/24, -19/8, 7/8, 101/24, 313/48, 253/48, 
  -15/4, -107/24, 1, -25/8, -245/48, 157/16, -233/24, -21/8, 23/8, 27/8, 
  -99/8, -7/8, 0, 0, 5/8, -65/16, 29/8, 1/8, 25/24, -67/24, -1/2, -3/16, 3/8, 
  -1/72, 17/72, 0, 5/36, 0, 1/8, 3/2, 0, -11/8, 0, 0, -3/8, 31/16, -7/8, 0, 
  -13/8, -49/24, 0, 8/3, 0, 13/4, -131/108, -7/6, -2093/288, -4465/864, 7/24, 
  47/32, 35/72, 0, -313/48, 223/216, 4115/432, 53/216, -35/72, 157/48, 
  -29/54, 19/18, 163/18, 179/48, 235/144, -269/36, -215/108, -289/24, 
  -557/48, 31/4, 77/8, 13/6, 3/20, -65/24, -3/20, 13/24, -5/6, -4/3, 1/6, 
  -7/48, 1/2, 59/48, 83/48, 4/3, -9/5, -13/16, -41/8, 319/40, 1/8, 101/8, 
  -25/4, -11/2, 391/48, -49/15, -31/48, -65/48, -51/8, 1/8, 125/8, 29/24, 
  -45/4, -1/8, 1/8, -3/2, -51/8, 53/8, 13/4, 65/8, 3/4, -23/8, 11/4, 1/2, 
  -3/4, 311/24, 91/24, 35/24, -139/24, -25/8, -109/24, 19/6, 11/2, -19/8, 
  -79/8, -7/8, 51/8, -97/24, 0, 35/2, -35/24, 9, 27/4, -9, -9/8, 113/54, 
  -29/36, 1943/288, -329/864, -5/72, -1651/288, -1679/216, -29/16, -127/72, 
  -287/48, -7, 479/48, 2797/432, 55/18, 59/48, -325/288, -977/96, 3/4, 
  1369/288, 3383/288, 19/24, 215/48, 85/24, -1067/72, -5/36, 1387/288, -15/2, 
  -175/32, 1/18, 27/4, 0, 0, 0, 0, 0, 11/3, 71/720, 0, -269/48, -59/180, 
  37/48, -341/48, -19/6, 113/180, 161/48, 0, 7/4, -3/4, 1, -3, -1, -5/4, 
  15/2, 5, -27/4, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 15/2, -3/2, 0, 1, -1, 0, -4, 0, 7, -7/2, -3/2, 15/2, 
  8, 0, 0, 0, 0, 0, -47, -1/2, -283/16, 7/16, 0, 0, -1, 0, 0, -1/2, 4, -4, 2, 
  0, 0, -5/2, 0, 0, 0, 0, 0, -4, 32, 0, 14, 4, 0, 0, 0, 0, 0, -2, -27/2, 
  133/12, 11, -7/4, 9/2, 509/8, 251/8, -505/8, 171/8, 0, 0, -3/4, 0, -7/2, 0, 
  129/4, -30, -9/2, 145/4, -2, 1/2, -104/3, -5/2, 0, 0, 1, -5, 807/8, -5/6, 
  -807/8, 0, 0, 0, -15/2, 0, 0, 15/2, 45/2, 45, -127/6, -18, 162/5, 0, -47/2, 
  0, 3/2, -1/2, 0, -132/5, 0, 2009/20, 561/20, 543/5, 76/5, -543/5, -603/5, 
  -61/2, 0, 66/5, 0, -1403/10, 9/2, 0, -35/12, 0, 3, 0, 0, 0, -38/3, 2, 0, 
  -8, 0, 0, 1/4, -53/3, 17/3, 1/3, 3/2, 0, 0, -183/16, 15/16, -135/8, 0, 25, 
  161/6, 5, -129/4, 5/2, -2, 1/2, 71/24, -45/8, 5/2, 7, -5/2, -1/2, -5/2, -6, 
  2, 2, -4, -319/96, 12793/96, 785/32, -401/144, -7/144, 3/4, 0, 0, 0, 
  -65/18, 23/18, 0, 1/4, 28, 0, 0, 31/8, -1, 0, 53/8, -8, 0, 0, 2, 4, 
  1067/96, -193/96, -2267/32, 2195/96, -835/96, 19/12, -16/3, -47/4, 11/4, 
  13/2, 187/48, 1277/48, -77/16, 1193/16, 299/48, 1085/32, -44, 0, 6517/384, 
  -7457/256, 0, -13157/768, 11147/384, 101/96, -5275/256, -31/3, 6483/256, 0, 
  0, 1/12, 0, 0, 3/4, 0, 0, -5/12, 0, 7/18, -1/3, -37/6, 13/8, 11/2, -1/2, 0, 
  0, 7/18, 3/2, -2/3, 1/2, 0, -1/4, 0, -1/2, 0, -4/3, 0, 0, -1, -10/3, -1, 
  11, -11, -1961/9, 899/12, 7381/36, 5707/48, -832/9, 827/24, 6193/72, 
  4915/48, -503/24, -478/9, 779/48, 2419/48, 2717/24, -2171/48, -433/9, 
  1739/48, 757/16, 1903/16, 0, 0, 0, 0, -1/2, 0, -4265/48, -493/8, 257/48, 
  -1211/16, -4121/48, 45/16, 2677/48, -7181/48, -861/40, -411/10, 1451/40, 
  75/2, -2121/40, -27, 2721/40, 1993/40, 37/12, 105/8, -33/4, -15/16, 
  -725/48, 125/8, -131/12, -6, -97/48, 23/6, 179/8, 619/16, -79/8, -359/24, 
  135/8, 1/2, 23731/1728, -359/144, -365/144, -661/144, 605/144, -2/3, -47/3, 
  7/12, -1/3, -22/5, -3/2, -54/5, -7/8, 0, 47/9, 15/4, -10/3, -169/96, 1/4, 
  -79/18, 23/8, -139/48, -45/8, 59/8, 89/8, -21/4, 5, -73/2, -67/12, 527/24, 
  -41/8, -9/4, -167/6, 11/4, -51/4, 367/36, -7, 11/18, -2, -17/4, 11/12, 
  1207/16, 3469/48, -1295/16, 11/4, 605/72, -11305/144, 7/12, -1127/16, 
  -715/12, 1503/16, 11305/144, -53/4, 0, -85/6, 31, 5/12, 17, -5/4, -2, -14, 
  139/18, 13/6, 85/6, -237/4, -16, 10, 113/4, 15/8, 21/8, -63/8, -145/8, 0, 
  23/12, 31/8, 89/8, -35/24, 3/4, 5, -137/12, 0, 61/12, -1021/48, -1061/48, 
  1021/48, 865/48, -263/48, 6, -207/16, -49/36, -177/16, -19/16, -287/24, 
  829/48, 27/16, -1/12, -703/20, 4, -1/12, 703/20, 1/6, 1897/80, 661/15, 
  -21431/240, -1427/80, 325/16, 27, -109/16, -301/16, -45/8, -45/2, -65/8, 
  69/2, 93/8, -15/2, 361/8, 61/8, -613/24, -181/8, -2, 2, 2, -16/9, -61/16, 
  133/144, 0, 0, 0, 0, 0, 0, 0, -17/24, 17/24, -77/48, 113/72, -41/8, -29/12, 
  173/72, -2473/144, 59/36, 143/36, 1, 20215/864, -3631/144, -851/72, 63/8, 
  635/72, 425/36, 7/16, 5/3, -25/4, 7/24, 25/12, 179/240, -11/12, 45/8, 
  347/36, -105/16, -301/32, 6961/144, 109/8, -29/8, 1273/96, -12085/288, 
  -31/6, 1033/144, 925/24, -4577/96, -383/72, -227/12, 175/24, -119/6, 
  291/16, -77/12, 407/48, 445/48, -221/48, -133/32, 29/96, -595/32, -7/2, 
  -6151/216, 239/18, 545/24, 203/24, -1499/72, -1805/144, 443/48, -367/18, 
  73/16, -13/3, 91/6, -55/12, 4/3, 553/120, 2, -1/5, 223/40, 19/24, -41/8, 
  7/16, 865/96, 141/32, 57/8, -19/12, 1/12, 65/24, -61/4, 621/32, 303/16, 1, 
  13793/1728, -1403/72, -215/18, 94/9, 167/18, 607/72, -45/16, -4, 308/15, 
  29/16, 43/4, -131/160, -45/8, 227/24, -649/240, -13/48, -89/24, -1757/120, 
  -139/32, 481/32, -733/120, -1065/32, -103/24, -1217/192, -845/64, 
  -2369/192, 1347/64, 315/32, 95/12, 6629/192, 8087/192, -157/24, 71/6, 
  8209/192, -1489/64, -1317/16, -143/48, 7/2, -8557/384, 205/144, 1147/1152, 
  71953/2304, -195/256, 211/48, 3115/144, -12791/576, -307/48, 22835/2304, 
  1723/576, 23135/2304, 363/64, 3673/576, -4/3, -55/12, 1/4, 1/2, -179/24, 
  -13/12, -113/10, -7/8, -2, -179/24, 11/18, 71/36, 641/72, -13/72, 1/4, 
  -71/36, -835/72, 7/6, -1, 5/9, 1/2, -5, -7/36, -1/36, 53/16, -149/16, 
  91/24, 13/4, -1/4, -11/6, -161/16, -293/24, -215/12, 91/12, 107/8, 89/8, 
  -17/36, -121/8, -11/36, 127/24, 193/36, -13/8, -365/16, -499/48, 51/4, 
  -2015/144, -43/24, 941/36, 1277/144, 2447/288, 43631/864, 5/12, -5537/144, 
  -1667/24, 1043/24, -97/6, -55/6, 592/9, -427/48, 5213/72, 2495/96, 
  -1667/48, -1451/48, -641/96, 8/3, 165/16, -407/48, -46/3, -421/30, 10/3, 
  -1357/240, 3773/240, 421/30, -839/120, -225/16, 1127/48, 145/24, -63/4, 
  -75/4, -25/8, 21/10, 1/4, 87/8, -261/160, -49/8, 99/40, -559/480, -871/240, 
  407/240, 19/12, 7361/1080, -527/36, 1469/144, -7079/720, -239/48, -425/72, 
  26/3, 3521/360, 257/72, -69/8, -6995/432, 445/72, 1069/288, 2435/144, 
  -9/32, 4663/144, 1517/144, -1091/48, -755/36, -561/32, 1559/72, -7/2, 
  -821/36, -78073/864, -1895/96, 5095/144, 29/9, 33937/864, -427/48, 
  -1811/144, 243/8, -4/3, 1843/48, 347/48, 56/3, -127/5, 21/4, -73/12, 
  -871/80, -5/6, -2449/80, -299/20, 1999/240, 1109/120, -289/30, -8, -31/8, 
  -309/20, 32, -79/8, -1117/90, 845/24, 1579/288, 196241/4320, 247/96, 
  2121/80, -8683/360, -20321/432, -12739/720, 39/4, 13/2, 81/4, 583/40, 
  -11/4, 309/8, 0, 115/2, 0, 1611/8, 149/2, -9/2, 0, -1691/16, -3327/16, 
  -171/2, -661/5, -15, -5/4, 1379/96, -3929/96, 3001/48, -207/32, 2371/80, 
  15341/240, 727/10, 83/16, 299/48, -3385/384, 397/24, -1045/48, 2503/48, 
  1987/16, -67/4, -86177/720, -6895/48, 33/2, -23, 3, 29/3, 6, 2119/24, 
  -2225/48, 797/72, -459/16, 42, 845/16, 65371/144, -5627/24, -3110/9, -25, 
  0, -7373/96, 4779/40, -35/16, -3751/80, -213/4, 48187/960, 1673/144, 
  3841/320, 18875/192, 30053/768, -599263/2304, 17333/256, 38287/288, 
  24065/768, -603/40, 185/16, 103/16, -21/16, -731/24, -223/16, -13/20, 
  749/40, 93/2, 11531/360, 635/8, -3137/120, -3373/36, -267/8, -787/144, 
  -19195/192, 3639/128, 1671/16, 6707/384, -25291/256, -7999/768, 16151/256, 
  539/24, -24541/768, -351/32, -6451/480, -5169/80, -19739/160, 4075/48, 
  6523/96, 4219/48, -3653/288, 503/32, -873/80, 3919/180, -265/24, 3, 
  15143/288, 243443/1152, -724699/5760, -248209/960, 7411/32, 1115/4, 
  7957/20, 53369/320, 14461/640, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 
  0, 0, 0, -1/2, 1/4, -3/2, 3/2, 0, -3/2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 0, 0, -1/2, 0, 0, 0, 1/4, 0, -1/4, 0, -1/4, -1/2, 0, 
  -3, -5/4, 3/2, 3, 0, 1/4, -1/2, -3/4, 0, -1/4, -1/2, 1/2, 3/4, 1/2, 0, 0, 
  0, 1, 0, -2, 0, 5/4, 0, -1/8, -1/2, 0, -1, -11/8, 0, -29/8, -25/8, 11/8, 
  43/8, 17/8, 0, 1, 0, 0, -1, 0, -1/4, 0, 1/4, -5/16, -1/8, 5/16, 1/8, 0, 
  -1/16, 1/8, 5/16, 17/16, -17/16, 0, 0, -1/4, 1/16, 1/2, 11/16, 0, 0, 
  -17/16, 0, -1/4, 0, 1, 0, -1/4, 0, 3/4, -3/8, 0, 1/24, 0, -19/24, 1, -7/8, 
  0, 1/2, 13/24, 0, -3/16, 3/16, 3/8, -1/16, -1/4, 0, -7/16, 0, -3/16, 1, 0, 
  1/4, 1/32, 1/4, 45/32, 7/8, -5/8, -11/8, -1/2, -7/12, 1/24, -7/12, -39/32, 
  -73/96, 1/3, 1/3, -1/4, -3/2, -3/2, -37/32, -3/16, 7/4, 7/12, 149/96, 
  71/48, -1/3, 55/32, 7/4, -11/8, -47/32, -1/2, 0, 3/4, -3/8, 3/4, 1/4, -1, 
  2/3, -29/48, 1/12, 27/16, -41/48, 1/2, 7/12, -23/48, -2/3, 9/8, -17/16, -3, 
  -61/16, -1/8, 7/2, 11/6, 245/48, 25/48, -71/24, 47/16, 7/2, -11/4, -51/16, 
  0, 0, 1/4, 0, -1/2, -7/16, 1/12, 0, 7/48, -1, 1/2, 7/12, -43/48, -2/3, 0, 
  0, -3, 1, -17/16, 245/48, 2/3, -55/24, 7/2, -51/16, 0, 1/8, 0, -1/4, -1/4, 
  1/24, 1/4, 19/96, -3/16, -5/8, 3/8, -1/2, 1/3, -1/3, 25/48, 7/96, 0, 0, 
  -3/2, 1/2, 73/48, -127/96, -9/16, 7/4, 17/96, 7/4, -11/8, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1, -3/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 
  -1/2, 0, 0, 0, -2, -3, -1/2, 2, 4, 1/2, 5/2, 1/2, 0, -1/2, -2, -2, -3/2, 
  -6, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1/2, -2, 0, -1/2, 1, -1, 0, 0, 0, 
  0, 1/2, 0, 0, 0, 0, 0, 1, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 0, 
  -9/8, 0, 9/8, 0, 0, -1/4, -1/2, 0, 0, -1/4, 0, 0, 0, 1/2, 0, 0, 3/2, 0, 0, 
  -1/2, 0, 3/2, -3/2, 3/2, 0, 0, 0, -1, 3/2, 0, 0, 0, -2, 0, 0, -1, 0, 9/2, 
  7/8, 1, -9/4, -4, 5/4, -2, 5/8, 37/8, 2, 9/8, -1/2, 71/32, 87/32, 1/2, 
  -71/16, 0, -3/32, 0, -6, 27/32, -71/32, -71/32, 45/16, -1/2, -71/32, 0, 
  19/32, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 3/2, 0, 0, -1/4, 0, 0, 0, 0, 
  0, 0, 0, 0, -1/4, 0, 31/24, 0, 67/24, 1/4, -1, 0, 0, -21/16, 1/4, 31/16, 0, 
  0, 0, 0, 0, -3/2, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/4, 0, 0, 0, 3/2, 
  -1/2, 1/2, 1/2, 0, 1/2, 5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/4, 0, -19/8, 
  -1/8, 0, -1/2, 1/2, 0, 0, 3/2, 0, 0, -1, -3/4, 0, 1/2, 1/2, -1/2, 0, -1, 1, 
  -1, 111/32, 2, 95/32, 2, -13/4, -155/32, 2, -11/32, 0, 107/16, 143/32, -1, 
  -209/32, -3, -49/16, -177/32, 3, 181/32, -1, 3/2, 0, 0, -1/4, -1, -4, 4, 0, 
  -4, 3/4, -9/2, -3/4, 19/4, 31/24, 1/8, -9/8, -55/24, -21/16, 1/8, 31/16, 
  7/8, 0, 0, 0, 0, 3/4, 1/16, 1/4, -7/16, 0, -7/4, 0, 0, -1/2, 1/4, 1/4, 
  3/16, -5/16, 1/2, 0, 1, 0, -1/2, 1/2, 0, 0, 0, -5/4, 1, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -3/4, 0, -1/4, 3/2, 0, 31/12, -5/3, 1/2, 0, 1/2, 1/4, 0, 0, 0, 
  -1/8, -1/2, -5/3, 1/8, 0, -1, 0, -3/2, -3/4, 0, 0, 0, 5/4, 1, 0, 0, 0, 1/2, 
  -1/2, -1/4, 0, -3/4, 0, 0, -23/6, -21/4, 3/2, 205/36, 8/3, 1/4, -1/2, -1, 
  -1/4, 0, 0, -1/4, -1/2, 1/2, 13/9, 1/2, 0, -5/2, 27/8, 0, 37/8, 0, 0, 0, 0, 
  0, -1/8, -1/2, -1/4, 1/8, 59/16, 0, 17/4, 43/8, 0, 17/4, 43/8, 0, 0, 0, 0, 
  -35/8, 0, 0, 0, 17/8, 0, 0, 3/8, -1, 5/2, -1/2, 1, 1/8, 1/4, -3/8, -15/8, 
  -5/8, -13/8, -37/8, -1, 13/8, 0, 0, 5/2, 0, -1/2, -3/4, 3/8, 1/4, -1, 
  -21/4, 9/8, 1/2, -3/4, -1/8, 1/8, -1/8, 0, 0, 0, 0, 41/24, 0, -4/3, -11/24, 
  11/12, -11/24, 11/12, -11/12, -11/24, 1/6, 1/6, 0, 19/12, -11/24, 0, -1/8, 
  -77/96, 71/32, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1/2, 0, 0, 0, 0, 0, 0, -9/16, 
  -9/16, 0, -7/8, 0, 0, 0, 0, 0, 3/8, 0, -9/8, 21/8, 0, 0, 0, -1/4, 0, 0, 
  -9/8, -11/32, -3/32, 23/8, 9/8, -27/8, 13/8, 3/32, -5/2, -1/2, -9/4, 21/8, 
  9/4, 1/4, 1/4, -1/2, -1, 0, 0, 3/4, 0, 0, 0, 0, -27/32, -3/4, 9/8, 3/4, 0, 
  0, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1/8, 0, 0, 0, 1/8, 0, -5/3, 1/24, 0, 0, 0, 
  -7/6, -1/2, 0, 11/6, 0, 0, 23/24, 0, 0, 0, 0, -25/24, 5/24, 0, 11/12, 0, 
  1/4, 0, 3/8, 1/2, 0, 0, 9/8, 0, 53/24, 7/4, -7/6, -101/24, 1/24, 13/6, 2, 
  13/12, 2/3, -3/4, -3, -13/6, -13/6, 11/12, 1, 11/36, -8/3, -3/4, -1/2, 
  -8/3, 0, -69/32, -9/4, 11/8, 19/16, 1/3, -13/6, -3, -4/3, -8/3, -1, 5/2, 
  8/3, 4/3, -11/3, -1/2, 43/18, 8/3, 0, -2/3, -181/32, -9/4, -13/6, 11/8, 
  75/16, 13/6, -1/3, 2/3, 1/3, 7/18, 8/3, 0, 0, -1, -5/8, -1/2, 0, -1, -7/8, 
  0, -23/24, -41/8, 11/8, 487/72, 115/24, -7/2, -6, 41/16, 21/4, -1, 21/2, 
  19/2, -61/16, -7, -23/16, -5/2, 19/8, 77/16, -3/4, 1, -33/8, -5/8, -23/8, 
  2, 1, 5/2, 25/4, 5, -5, 33/16, -21/8, -75/8, 29/8, 9/2, 81/16, -91/16, 
  -109/32, 7/8, -12, -83/16, 137/16, 15/2, 45/8, 7/4, -33/4, -79/8, 11/4, -1, 
  31/8, 9/8, 13/4, -29/32, -13/8, -9/2, -87/16, -81/16, 13/2, 1/4, 7/4, 
  -13/8, -5/2, -27/8, -3/2, -75/32, 7/8, 0, -5/8, 2, -99/32, -1/2, 125/32, 
  11/8, 15/8, 69/32, -19/8, 0, -11/4, 17/4, 1/8, -3/2, -1/8, -25/4, 0, 0, 
  3/8, 31/8, 5, -37/8, -31/8, 17/4, 1/4, 11/8, 51/8, -5/8, -7/8, -1/4, 21/8, 
  7/8, 0, 3/8, 5, -1, 0, 5/8, -9/2, 7/4, 87/8, 1/2, 0, -1, -23/8, 13/8, 47/8, 
  -17/4, 0, 3/2, -39/8, 0, -17/4, -17/8, -7/8, 17/4, 0, 0, -17/8, 1, 1/4, 
  -3/4, 0, -1/4, -53/8, 0, -25/4, -3/2, 3/2, 7/2, 3/8, -5/8, -5/8, 5, 1/4, 
  5/8, 3/8, 1/8, -9/8, -7/8, -3/8, 23/8, -41/4, 1/8, 1/4, -2, 0, -23/24, 
  107/48, 1/4, 1/8, 11/12, -11/6, 11/12, -11/12, 11/12, -11/48, 43/24, 43/24, 
  -1, -11/12, 11/12, 29/24, -11/48, 107/48, 43/24, -13/48, 0, 5/6, -73/48, 
  143/96, 149/96, 0, 55/96, 47/32, 0, 0, -1, 5/6, -1, -45/32, 3/4, 0, 55/96, 
  49/12, 0, -37/48, 235/48, -137/96, -251/96, 71/48, 11/12, -11/12, -11/12, 
  -49/48, 1/6, 139/96, -77/96, 11/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 
  -1/16, -1/4, 3/2, 0, 0, 0, 0, 0, 0, 0, -19/32, 5/8, -23/32, -1/8, 0, 59/32, 
  59/32, 0, -1/8, -17/32, 5/8, 61/32, 0, 0, 1/8, 43/32, -5/8, -93/32, -13/16, 
  0, 0, 0, 0, 0, 13/8, -19/32, -13/8, 23/32, 53/16, -1/4, 7/8, -1/4, -7/8, 0, 
  3/8, -9/8, 0, 1/8, 1/8, -1/8, 3/16, 0, 0, 1/2, -1/2, -3/2, 0, -1/4, 3/4, 0, 
  -1/4, 7/2, 0, 0, 11/16, 0, -5/2, 0, 0, -3/4, 5/2, 0, 7/8, -11/8, -3/32, 
  1/4, 11/8, -1/2, 19/24, 11/32, -3, -3/2, 9/8, -27/32, 1, -23/24, -15/8, 0, 
  0, -1/4, 31/32, 0, -3/2, 5/8, 5/6, -1/12, 1/4, 1/12, -2/3, -1/3, 1/4, 1/4, 
  3, 5/6, -1/2, -7/12, -295/96, -125/96, 1/3, -47/32, -7/2, 47/32, 23/8, 
  9/16, 1, -9/16, -7/4, -23/8, 3/4, -31/16, -49/32, 35/4, -21/16, -8, 1/12, 
  -63/16, -23/8, 9/16, 0, 9/32, 9/32, 99/64, 9/32, 5/8, -31/16, -49/32, -3/2, 
  -13/16, 11/8, -11/12, 1/12, -157/48, 0, 0, -23/32, 9/32, -17/16, 169/192, 
  0, 0, 2, 2, 0, 2, 0, 0, -4, 0, 0, 0, -5/2, 3/2, 0, 1/2, 0, 0, 7/8, -23/8, 
  0, 0, 0, 23/16, 25/16, 0, -77/16, 0, 0, 0, 0, 0, 1/8, -19/16, 3/16, -33/16, 
  0, -13/16, -9/8, 0, 0, 3/8, -23/16, -25/16, 0, 3/8, 43/16, 0, 7/32, -5/4, 
  -327/32, 13/8, 25/8, 2, 9/8, -121/48, -9/16, -33/16, -5/8, 235/24, 1/8, 
  -5/4, 199/24, -11/2, -3205/96, -187/96, 1385/48, -69/32, -9/8, 5/2, 
  1633/288, 1/2, -1/4, -69/32, 25/32, -1/2, -109/48, -195/32, 5/4, 19/8, 3, 
  1/3, -1/16, 11/12, 83/16, -21/16, 1/3, -1/3, 1/4, -5/24, 1/4, 119/48, 15/4, 
  -11/2, -7/12, 75/32, -29/32, 1/3, 203/96, 5/8, 9/4, -1145/288, 3/4, 5/4, 
  133/32, -3/8, 3/4, 45/16, 17/8, -3/8, 1/2, 0, -69/16, -5/4, 55/16, 193/24, 
  -1/2, 3/2, -125/12, 9/16, 7/8, 3/2, 13/6, -83/12, 1, -7/12, 859/24, 19/6, 
  -173/6, 77/24, 7/4, 0, -103/12, -1/4, -1/4, 41/16, -3/8, 1/2, 19/8, 5/8, 
  -5/8, -73/48, -5/4, -1/4, 187/24, 3/8, 11/12, 3/2, -61/6, 1/4, -1/2, 39/16, 
  1/4, -127/24, 0, -697/48, 112/3, 73/24, -365/12, -9/8, 7/4, -1/2, -37/4, 0, 
  0, 0, -5/16, -19/8, 5/8, 35/8, -13/4, -5/4, 115/16, 0, 7/2, 9, 0, 0, 23/8, 
  -31/8, 13/2, 31/16, 71/16, 35/8, 0, -7/4, 3/4, 3/16, 25/4, 0, 51/8, 19/2, 
  0, -15/8, 3/4, 23/8, -5/16, 47/16, 37/8, -1, -29/8, -7/4, 5/2, 97/16, 
  -17/8, 1, 51/8, -3/2, 0, 35/16, -1/8, -109/16, 161/24, -47/6, -29/2, 
  -45/16, 123/16, 101/24, -23/4, -1/2, 11/4, -9/4, 0, 25/24, -65/16, 85/48, 
  -7/24, -65/48, -1/4, 41/12, -473/48, 19/8, -377/48, 69/8, 71/16, 39/16, 
  -9/4, -31/16, 1/2, 5/4, 3/8, -1/2, -53/32, -15/32, 9/4, 9/4, -1, 43/48, 
  -53/48, 13/24, 163/48, -139/48, 37/48, 1/8, 0, 553/48, 219/32, 169/48, 
  -133/32, -11/8, 0, -401/48, -125/48, -29/8, -101/32, 11/4, 27/8, -3/4, 0, 
  53/32, -21/32, 1, -93/32, 21/32, -1, 5/4, -1/8, -457/96, 9/16, -17/8, 
  85/24, -1/8, 3/8, -1/48, -3/2, -1/4, 11/24, -7/4, 183/32, -121/48, 7/32, 
  -227/48, -77/16, 103/48, 205/48, -19/8, -189/32, 1/4, 21/8, 1/4, -1/4, 
  -21/32, -1, 21/32, 5/4, -1/8, -337/96, 9/16, -3/8, 79/24, -9/8, 3/8, -1/48, 
  -7/4, -1/4, -1, -113/32, 171/32, 1/8, -33/32, -1, 1/24, -97/16, 3/8, 
  211/48, -85/48, -225/32, 4, 193/48, -11/4, 25/24, 163/96, 77/96, -7/6, 
  -21/32, -77/96, -25/24, 0, 1/2, 0, 0, 0, -41/48, 7/8, 1/4, -11/24, 11/12, 
  -11/24, 11/24, 11/24, -11/24, -11/24, -11/24, 17/48, -67/96, -61/24, 
  -1109/192, -355/192, -1/16, -229/192, -57/64, 1/3, 59/16, 449/96, 163/96, 
  -295/48, -65/16, 11/24, -11/24, -11/24, 1/4, 15/32, -61/24, 9/8, -325/64, 
  -1, -59/32, -229/192, 19/48, 1/3, 755/96, 131/32, 167/192, -537/64, -55/12, 
  9/8, -5/8, -1/32, 0, 55/32, 0, -2, 0, 0, 0, 0, 3/4, 1/4, 0, 0, 0, 0, 0, 0, 
  0, 0, 23/8, -9/2, 1/16, 15/8, -115/32, -79/96, 31/12, 3/32, 423/32, 141/32, 
  -297/32, -357/32, 65/16, 0, 0, 0, 0, 0, 0, 0, -1, -13/16, 0, 7/16, 0, 0, 0, 
  1/16, 0, 1/4, 0, -3/4, 0, 1/2, -1/2, 1/12, 185/96, 1/96, -113/96, 7/6, 
  -1/12, -75/32, -2/3, 0, -3, 1, 3, -1, 73/24, 3, -97/24, -73/24, 7/2, -7/2, 
  -7/2, 1/4, 1/2, -41/32, 23/32, -3/4, 33/32, 1/4, 1/2, -1/12, 35/48, 
  -307/96, -77/32, -2/3, 5/48, 0, 7/8, 3, 0, -19/6, 0, -5/4, -7/2, 1, 9/8, 
  -11/8, -3/32, -3/4, 29/32, -1, -65/32, 5/4, -65/24, 9/8, 125/96, 55/32, 
  125/48, 19/12, -161/96, -11/8, -29/16, 87/16, 125/32, -5, -43/48, 13/16, 
  -25/6, 109/48, -41/16, -3/8, 45/16, 1/4, 0, 45/32, 1, 0, -45/32, 0, 0, 
  -1/4, 0, 1/2, 5/4, -11/96, -77/32, 7/48, 0, 3, -1, -101/48, -7/2, 0, -1/4, 
  0, 3/4, 0, -1/2, 1/2, -1/12, 5/8, -353/96, -139/96, -5/4, -35/48, -1/8, 
  -2/3, -5/12, 2/3, -233/48, -2/3, 0, 3, 0, -1, -3, 1, -73/24, -57/32, 
  517/96, 2/3, -271/192, -7/2, 7/2, -51/16, 1/2, 35/32, 3/16, -9/8, 37/32, 
  1/2, 11/48, -1, 0, -185/48, -1, 37/48, 0, -1, -1/4, 13/8, 1/2, 1/4, -1/24, 
  1/3, 185/96, -1/3, 0, 0, 5/4, 3/2, 31/96, -7/4, 0, -25/48, -89/96, 0, -1/4, 
  -7/4, 11/8, -1/4, -1/2, 25/16, -1/32, 3/2, 25/16, 1/16, 3/4, 9/16, -5/4, 
  31/24, -5/3, -1/2, 147/32, 5/16, 5/4, -2/3, 2, -11/12, 2/3, -7/8, -7/48, 0, 
  1/2, -3/16, -29/32, -1/2, -371/96, 5/8, -11/8, 13/8, 1/2, -2/3, 515/24, 
  -47/48, 33/16, -293/96, -69/32, -1/2, -11/12, 3/4, 13/24, -11/8, 27/8, 3/2, 
  85/32, -9/16, -7/4, -5/4, -341/96, 35/24, 21/8, -39/32, -7/4, 11/8, 55/32, 
  -15/16, 3/8, -81/32, 1/8, 43/16, 91/32, 15/16, 51/16, 0, 9/8, -7/16, 
  -19/16, 13/48, -3/8, -11/32, 415/96, 27/16, 0, 3/2, 1, 91/24, 5, 0, 15/8, 
  7/4, 1/16, -1/2, -7/32, 9/2, 19/4, -11/2, -79/32, 1/2, -25/6, -1/48, 11/4, 
  -575/96, -539/96, 631/48, -215/24, -85/48, 377/24, 473/24, -5/2, 27/16, 
  9/2, 215/24, 13/8, -7/4, 335/48, -85/16, -79/6, -61/12, -95/16, -21/4, 
  11/8, 119/8, -1/4, 29/32, 3/8, 5/4, -43/32, -3/8, -3/4, 7/16, -1/4, 1/3, 
  -23/24, -1/4, -45/32, 55/48, 5/8, -11/96, -1/2, 0, 1/3, -13/48, -7/96, 0, 
  0, 299/96, 81/16, -3/4, -47/6, -29/16, 3/8, 27/8, -1/2, -1/2, -317/96, 
  5/12, 317/96, 187/48, -27/32, 7/6, -1/8, -121/96, -2/3, -61/48, -123/32, 
  -3/2, 27/32, -21/16, 7/4, 17/4, 449/96, -43/12, -143/48, -49/32, 7/4, 
  -11/8, 33/32, 1/4, 29/96, -11/24, -3/8, -197/192, -19/48, -3/8, -235/192, 
  1/2, -1/12, -27/64, -23/96, -277/192, -59/64, -1/3, -89/192, 35/24, 113/48, 
  115/64, 1/24, -7/4, -881/192, 7/12, 29/192, 89/192, -329/96, 11/8, 25/48, 
  0, 0, -1/8, 0, 1/4, -1/4, 0, -1/24, -1, -7/96, 13/8, 1/12, -3/8, 21/32, 
  1/3, 0, 0, 3/2, 0, -1/2, 65/16, -13/12, -353/96, -67/48, -7/4, 93/32, 0, 
  -1/8, 0, 3/8, 0, -1/4, 1/4, -1/24, 0, -19/96, 11/48, 1/4, 53/48, 1, -1/3, 
  1/4, -7/48, -65/48, -1/3, 0, 3/2, -1/4, -1/2, -3/2, 1/2, 1/2, 1/2, -77/48, 
  19/48, 193/48, -10/3, -7/6, 1/12, -29/48, 2/3, 0, 5/4, -1, 7/4, -73/24, -3, 
  23/32, 73/24, -7/2, 7/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 
  1/2, 0, 0, 0, 0, 0, 0, -7/2, 0, 7/2, 0, 1, 4, -5/3, 0, -5/3, 0, 0, 7/2, 
  1/2, 0, -3/2, -1/2, 0, 7/8, 0, 0, 0, -5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -5/3, 0, 0, -7/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -19/9, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -1, 0, 0, -1, -1/2, 2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -19/9, 0, 
  29/9, 0, -19/9, 0, 3/2, -1/2, 3/2, 17/4, -7/2, -1, -5/2, 0, 2943/16, -99/2, 
  2949/16, 3/2, -71/8, 7/4, 13/4, -71/16, -11/16, 71/16, 71/16, 0, 0, 3/2, 
  1/2, -71/16, 0, 71/16, 0, -2, -613/80, -11/10, 379/240, 0, 0, 0, 0, 0, -1, 
  3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, -1/2, -1/2, -1/2, -1, 1/2, 
  -2, 0, 1/2, 1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 6, 0, 
  1, 0, 0, 0, 1/2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1/2, -25/2, 4, 7/2, -1/2, 
  3/8, -13/8, 7/8, -3/2, 1, 0, 0, 0, 1, 1, 0, 0, 10/3, 0, 0, -2, 0, 0, -4, 
  -1, 0, 0, 29/9, 0, -73/9, 0, 2, -1, 1, 0, 0, 3, 0, 0, 0, 29/9, 0, -73/9, 
  -73/9, -2201/80, 30901/80, 7075/16, -6277/16, -479/16, -95/4, 0, 73/4, 
  89/8, 29/8, -87/8, 13/4, 0, 0, 47/16, -57/16, -131/16, 17/5, 857/240, 
  -49/80, 1343/240, -1933/80, 499/16, -1949/40, -5411/16, 85/8, 97/8, -71/8, 
  -89/8, -13/4, 0, 0, 89/16, 121/80, -393/80, 121/80, -89/240, 0, 0, 0, -3/2, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -5/2, -1, 0, 0, 3, 0, 0, 
  0, 0, 0, 0, 3/20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 107/32, -99/32, 0, 0, 
  15/8, 0, 0, 0, 0, -1/4, 0, 1/4, -3/8, 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, 1/4, -11/4, 3, 29/4, 15/4, 
  -11/2, 1/2, -3/2, -1/2, 0, 0, 6, 13/6, 0, 0, 0, 2, -13/12, -19/6, -1/4, -1, 
  1/4, -19/24, 1/4, -1/8, 5/24, 1/12, 0, 0, 0, 1/4, -1/2, 0, 3/2, 7/4, -1/4, 
  11/8, -1/4, -27/16, 1/48, 0, 0, 0, 0, -1/4, 1/2, 0, -3/2, -7/4, 0, 0, 0, 
  1/8, 15/8, -1/8, -27/16, 0, 0, 0, -7/4, 11/12, 3, 0, 3/4, 0, -7/24, 0, 
  15/8, 7/24, 3/4, 3/2, -1/4, -8/3, 0, 1/8, -1/4, 15/8, -2/3, 5/96, -29/96, 
  0, 0, 1/8, -1/2, -1/4, 0, 3/4, 19/6, 0, -25/16, 1/4, 27/16, 5/3, 3/8, 0, 0, 
  0, 1, 3/4, -5/4, -1/2, 0, 0, 0, 13/12, 53/18, -3/4, -53/18, -5/9, 0, -5/9, 
  0, 5/9, 5/9, -851/16, 2467/80, -9/4, 7, 0, -71/32, 1/2, -1/2, 113/32, 9/16, 
  3/2, -9/4, -1/2, 87/32, 1, 1/8, -1/4, 1/8, -323/80, 121/160, 0, 0, -33/32, 
  41/32, 0, 2, 0, 1/4, 0, -3/8, -3/4, 0, -3/4, 1/4, 0, -3/4, -5/2, 0, 0, 
  -3/8, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, -185/48, 37/96, 185/96, 0, -13/12, 
  -19/24, 9/8, 0, 0, 0, -5/2, 0, -1/4, 37/32, 1/4, -91/192, -3/8, 0, 0, 0, 0, 
  0, 0, 0, -511/30, 5, 42/5, 42/5, 0, 0, 0, 0, 0, 0, -27/32, 0, 0, 0, 0, 0, 
  0, 0, 0, 1/4, 0, 27/32, 0, 0, 0, 0, 0, 35/2, 893/60, -1009/30, 35/2, -3/8, 
  -191/15, 1/4, -1/4, 3/20, -159/5, 0, 0, 0, -11749/64, -637/192, 0, 0, 0, 0, 
  -8, 8, 0, -8, 5/4, -297/64, -351/64, -45/32, 49/32, 715/64, -243/64, 0, 0, 
  0, 0, -107/192, 305/192, -65/192, -11/12, -145/192, 23/16, 5/8, 0, -1/4, 
  1/4, 0, -1, 0, -1/8, 0, -5/4, 5/4, 3/8, 0, 1/8, 0, 0, 0, 0, 0, 959/216, 
  99/64, -5213/864, 0, 0, 0, 0, 0, 0, 0, 0, -47/4, -19/24, 1/8, 7/3, 0, 0, 0, 
  -19/12, -11/12, 1/4, -9/4, 0, 1/12, 0, 0, 0, 0, 5/24, 0, 0, 0, 0, 0, 0, 0, 
  0, 1/2, 0, 0, 0, 0, -31/3, -1, -13/12, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 0, 
  39/55, -1/4, -161/220, 1/4, 0, 0, 0, -5/4, -13/8, 0, 5/4, 0, 5/2, 9/220, 
  1/4, -389/220, 61/8, 33/4, -3, 47/2, 27/4, -4187/320, -3457/160, -23/4, 
  6507/320, 6, -9273/640, -19/8, -71/4, -49/8, -49/8, 95/4, 59/2, 73/8, 
  -431/8, 2, 155/8, 3/4, 25/8, -133/8, 3, 131/16, 87/16, -3, 1659/640, -19/8, 
  -23/48, 55/24, 3/8, 7/4, 0, -17/48, 13/6, 29/16, -19/12, 39/8, 37/24, 1/4, 
  -11/4, -19/6, 0, -1/2, 1/2, 3/2, 15/8, -21/8, 35/12, 7/8, -85/24, 0, 21/16, 
  -65/32, 1/32, 41/48, -1/32, -23/32, 0, 5/16, 23/16, 0, -5/2, 0, 193/48, 1, 
  0, -5/16, -17/12, 7/8, 5/16, -3/16, 23/24, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 
  1/4, -3/2, 0, 5/2, 1/2, 0, 0, -1/2, -1/2, -9/16, -1/4, 3/16, -1/12, 0, 
  13/12, -1/2, -13/12, 97/16, -355/48, -25/12, 0, 7/8, 299/24, -1, -13/2, 0, 
  1/2, -11/4, 0, 1/4, -17/8, -9/16, 5/2, 21/8, -19/8, 71/72, -25/72, -71/72, 
  3, 11/4, 7/6, -11/4, 8/3, -251/144, -497/16, 19/6, -89/16, 499/192, -13/4, 
  -2, 0, 3, -61/24, -157/36, 1/48, -39/16, -79/36, 0, 0, 0, 0, 0, -305/36, 
  353/36, 305/36, 0, -29/9, 0, 41/9, 29/9, 13205/144, 701/24, 0, 133/96, 
  4031/36, 29/6, 2/3, 3515/48, -19/6, 361/144, 421/144, 515/144, 14789/144, 
  -11/3, 35267/288, 7/12, -13049/288, -109/72, -3, -13/6, -491/144, -1403/48, 
  -13/6, -13/8, -127/24, -3/2, 95/24, -2/3, -13/8, 13/8, -7/3, 89/24, 5/12, 
  -5/12, -97/192, -4/3, 31/24, 91/24, 0, -659/192, 67/24, 1015/192, 91/24, 
  -163/192, -659/192, 137/64, 13/4, 7/4, 0, -9/4, 53/36, 7/4, 89/16, 5/4, 
  -289/48, 5/36, -187/24, -29/16, 9/8, 39/16, 137/24, 0, 0, 0, 0, 0, -3/8, 0, 
  8/3, 1/4, -35/18, -3/4, -1/2, 0, 0, 0, -3/2, 0, 3/4, -3/16, 1/4, -19/16, 1, 
  0, -341/36, 0, 341/36, 341/36, 91/9, -5/2, 11557/144, 1751/72, 0, 4607/288, 
  1/4, 3511/36, -185/18, 29/4, 9, 1/2, 11717/144, 1831/72, 0, 1165/96, 3/4, 
  917/9, -71/12, -7/6, 155/144, -9/4, 11/18, -1/4, 797/32, -53/12, -17/4, 
  217/24, 173/24, -305/24, -13/2, -59/4, -299/12, 193/12, 287/12, -7/8, 3/2, 
  475/32, -75/4, 0, 3/8, 137/16, -27/16, -1009/120, -23/8, 124477/960, 
  843997/2880, 88123/480, 4649/40, -69373/480, -19949/96, -22829/30, 
  777877/480, 4175/96, 27265/288, 2747281/2880, 222179/960, -45899/160, 533, 
  -770351/2880, 6, -46269/40, 364/15, 817/16, -17039/480, -3021/16, 
  890287/960, 10483/48, -10199/32, 763613/2880, 439/24, 415/24, -275/12, 
  -249/16, -223/24, 1065/32, 281/24, -1065/32, -685/48, -223/24, 2797/96, 
  281/24, -3061/96, -119/12, -53/6, -1145/96, 65/6, 1117/96, 121/12, 31/3, 
  3365/96, -551/24, -1091/32, 175/48, 21/16, 185/96, 17/16, 79/96, -3/2, 
  11/8, 87/8, 1, -233/16, -11/8, 19/16, 233/16, -1/8, 1/4, -1/8, -5/2, 
  -155/32, -229/16, 17, 179/32, 7/4, 25/4, -13/8, -177/16, -117/16, -1/2, 
  11/4, 1, 63/8, -9/16, 467/32, 2113/240, -343/48, -147/8, 5363/480, 319/240, 
  -1011/80, 107/120, 58/15, -137/48, -6547/240, -4021/480, 563/20, 773/30, 
  789/80, 5149/120, -391/24, -122/3, -16603/480, -1173/80, -4039/240, 
  3987/160, 1481/60, 121/15, 973/288, -9/2, 0, 9/2, 0, -9/2, 305/192, -1/2, 
  -1/4, 1/4, 4, -13/2, -1/4, 17/4, 1/4, 0, -1/4, 1/2, -1/2, -1/2, 5/2, 7/2, 
  3/4, -5/2, 0, 0, 0, 0, 0, 0, 45/64, 1/4, -7/4, 635/192, -305/192, -437/192, 
  1117/288, 53/192, 3/2, -305/192, -81/32, 1117/288, 73/32, -1/4, 7/4, -4, 
  1/4, 13/2, 7/24, 25/64, 3/8, 75/16, -21/8, 59/192, 139/192, -139/192, -1/2, 
  5/8, -5/8, 0, 5/8, 3/8, -5/2, 0, 3/4, 9/8, -1/2, 17/4, -1/2, -21/4, 1/4, 
  1/16, -1/8, -7/16, 0, 5/8, 0, -5/8, -3/8, 5/2, 0, 5/4, 0, 0, -1, 1, 1, 
  3/16, 231/64, 5/2, 2, -3/2, -5/2, 0, 0, -9/16, 3227/192, -2, -2459/192, 
  -183/64, 2603/192, 3179/192, 0, -397/96, 3/16, -487/64, 463/192, -63/8, 
  373/192, -55/96, 437/96, 337/96, -291/64, -1205/192, 437/96, 833/192, 
  -291/64, -103/64, 0, -9/8, 0, 0, 0, -13/24, -3/4, 5/4, -1/2, -3/2, -1/2, 
  505/96, -1, 1/4, 1/4, 1/4, -1/4, -1/4, -1525/192, 1, -917/192, 3/4, -25/24, 
  373/192, 451/192, 37/32, -661/192, -91/192, 333/64, 0, 0, 0, 39/8, -23/12, 
  3/8, 0, 1/2, -1/2, -1/4, -1/4, 0, 0, 1/2, 0, 1, 0, -3/2, -1, -33/8, 15/8, 
  -39/16, 23/8, -9/16, -23/8, 9/16, 0, -221/32, 103/32, -69/32, -9/32, 9/32, 
  -27/32, 11923/1728, 977/288, 3/8, -121/24, 0, 0, 0, 193/64, -385/64, -19/8, 
  81/4, 3/8, 0, -257/40, 0, 1/4, -1385/16, 547/16, -4031/48, 1897/48, 7/2, 0, 
  -2601/32, -8075/96, 0, 1385/16, -227/3, -705/16, 24185/288, 1979/48, 
  149/32, -487/16, -71/8, 487/16, 135/32, -1569/64, 967/32, 1335/64, 875/64, 
  21/64, 27/32, -127/64, -93/64, 0, 0, -77/32, 451/32, 0, 11695/64, 27/8, 
  -3149/192, -27/8, 27/32, 121/16, -381/16, -201/8, 381/16, 281/16, -1043/32, 
  787/32, 329/8, 1503/64, 217/16, 27/32, -487/32, -589/64, 27/32, 1/2, 
  -111/16, -1, 111/16, 1/2, -117/32, 795/32, 167/16, 1647/64, 5/32, 45/32, 
  -3/8, -423/64, 9/32, -9/8, 287/48, 1363/288, -421/192, -775/288, -217/48, 
  0, -71495/3456, 103/192, 0, -25/6, -13/6, 40729/864, 115/32, 317/96, 
  71423/3456, -67697/5184, -3/32, -76319/1152, 71747/5184, 79415/1728, 
  -39023/3456, -85/24, 47663/2592, -5, 11437/1728, -70241/1728, -117979/5184, 
  1/2, -68777/5184, -3/32, -3/2, 61703/5184, 1, -52307/3456, -85/24, 
  134899/5184, -5, -65429/3456, 11329/1728, 395/72, -79559/2592, -15/8, 0, 0, 
  -13/8, 5/2, 5/16, 0, 0, -43/16, 0, 7/4, -7/4, 0, -235/32, 0, 0, 31/16, 
  -5/4, -1/4, -5/4, 237/16, 7/2, -237/16, -9/4, -153/16, -215/32, 153/8, 
  103/16, -1343/64, -9/32, 2799/64, 767/32, 9/32, 0, 0, 5/8, -237/32, -11/8, 
  217/32, 0, 0, 269/32, 0, 0, -1, 0, 1, 0, 5/4, -5/4, -79/16, 1999/288, 
  -1013/144, 65/16, 335/64, -601/216, -59/32, -5537/576, 5537/576, 5213/1728, 
  0, 0, 0, 91/32, -2215/864, 203/96, -209/96, 5213/1728, -19/24, -13/2, 
  -19/48, 17/3, 23/16, 1/8, 1/16, -19/48, -119/48, 31/16, 1/16, -3/2, 0, 
  11/48, 0, -1/2, 0, 1/2, -19/24, 0, 1/8, 0, 19/24, -1/8, 0, -147/64, 0, 
  1067/192, 583/48, -3/8, -1/8, 0, 201/64, -949/96, -1/8, -23/32, 0, 23/9, 
  1/2, 0, 13/9, -1/2, 1/8, -9/4, 59/16, -175/8, 1/6, 997/48, 21/2, -15/8, 
  1151/48, -529/48, -197/48, -5/8, -469/12, -283/12, -151/24, 103/4, 13/8, 
  31/24, 3005/96, 159/16, -2/3, 209/48, 305/24, -5/3, -305/48, 11/6, 19/12, 
  25/8, 0, 11/4, 175/24, -1/4, 0, 19/24, 85/24, -20/3, -1/8, -11/4, 1/6, 
  -109/24, 5/24, -221/24, -289/32, 113/16, 31/24, -355/48, 173/16, -19/24, 
  109/16, -175/32, -91/12, -295/48, -9/16, -5/8, -187/24, -89/48, 31/8, 7/96, 
  11/4, 17/12, -53/8, 119/24, -19/24, 247/48, -325/96, 107/24, -43/8, 
  -211/24, 0, 7/48, 269/384, -131/36, -317/384, 131/36, 0, -13/8, 0, 1/2, 0, 
  -1/2, 0, -349/192, 1261/384, 829/384, 0, 5/24, -2237/384, 0, -565/32, 
  -1413/128, 0, -23/16, -349/192, 29/8, 231/64, 11/4, 0, 5/24, -2233/384, 0, 
  -3205/384, -485/192, -793/128, -4291/384, 5/4, 11/48, 0, 0, -5/4, -11/48, 
  19/24, 0, -1/8, 0, -19/24, 1/8, 0, -39/8, -7/2, 9/4, -11/4, 0, 11/8, 0, 
  63/8, -45/4, 65/64, 0, -7/32, 0, 9/32, 0, 0, 0, 39/32, 0, -75/32, 0, -7/8, 
  -15/8, 71/4, 77/4, -515/32, 0, 11/6, -1841/96, -1/2, 1, -3/16, -445/32, 
  -25/12, 27/16, 0, 1/4, 0, 9/4, -15/2, 0, 0, 0, -35/12, 5/4, 1/2, 13/6, 5/8, 
  -89/96, -13/32, 485/96, 7/4, -241/48, -11/12, -19/12, -287/48, 25/24, 
  -55/16, 29/24, -371/48, 163/24, 41/32, 0, 95/192, 1/32, 23/8, 41/8, 29/8, 
  0, -37/24, -17/2, 1/8, -191/192, 517/192, -179/48, 61/64, -607/192, 
  -265/96, 4009/144, -5243/96, 38711/576, -8447/576, -23/36, -2143/768, 
  -39/64, 5569/384, 491/96, -25/16, 6025/384, -1091/96, 0, 0, 0, 45/16, 
  6227/96, -1817/96, 1267/32, 10099/144, 211/32, 1171/9, 5777/288, 
  -20771/288, -317/8, -2545/48, 1123/72, -795/32, 11663/144, 175/36, 169/32, 
  -87/16, 17/12, 289/144, -529/36, 761/48, -883/144, 3739/96, -4723/64, 
  -1561/144, -43/8, 1355/64, 23/36, 0, -63/16, 395/48, -11/3, 0, -4811/96, 
  -617/8, 0, 71/24, 20879/576, 19/72, 4715/144, 13/6, 229/96, -11167/96, 0, 
  -47/48, 629/48, -11/3, -4027/144, -5183/96, -653/8, 5291/96, -38035/576, 
  23999/576, -125/72, 26831/576, 101/36, 1/2, -11389/144, -3/32, 3/2, -279/4, 
  -2, 1987/288, -1695/32, -287/48, 5303/96, -19/6, 24431/576, -37/72, 
  49325/576, 17/9, -5299/384, 163/64, 5009/384, -239/192, -11/12, -4793/576, 
  -5/192, 3211/128, 869/192, -1355/48, -467/192, 441/16, 0, 3263/192, -63/32, 
  -28607/13824, -2689/192, 11/24, 0, 293/64, 2689/192, -1/3, 83327/13824, 
  2213/192, 10789/4608, -3763/192, 2731/4608, -643/384, -379/64, -47/24, 
  -53/384, 1249/192, 79/32, -503/128, 461/192, -505/192, 73/48, -32483/3456, 
  -12583/384, 3301/4608, 1975/192, -8789/4608, -1/2, -127/16, -47/24, 11/48, 
  11/3, 3/4, -11419/1152, 461/192, -17/64, 73/48, 52631/1728, -10229/384, 
  -125627/4608, 1771/192, 124363/4608, 13/12, -1/2, 1/6, 1/4, -37/16, -13/12, 
  1/2, 1369/288, 0, 0, 71851/2880, 1/2, -11543/640, -1/8, 0, -1285/144, 
  -379/384, 1/3, -71851/2880, 38039/1920, 205/72, 77/32, -1/2, 47/96, 
  -203/64, 13/8, -121/192, -1/4, 115/128, 233/128, 553/192, 493/128, 
  -58891/2880, 311/32, 99677/5760, 161/32, 31/24, -187/64, 5/8, 7/3, 445/128, 
  -5/4, 377/128, -31/24, 739/64, -5/8, -3397/384, -69/8, 0, 1073/72, -419/32, 
  -37/4, 191/32, 4073/36, -509/36, 479/96, -1177/48, -569/72, 207/32, 
  1501/36, 0, 33/4, -115/24, -359/32, -25/2, 403/32, 0, -5003/144, 707/96, 0, 
  -17/2, 1511/72, 147/32, -11729/144, -1679/72, 1789/48, 461/72, -167/12, 
  -3005/48, -9931/144, 21/4, -83/6, 205/24, 5009/72, 127/24, 1323/16, -11/4, 
  485/16, -5767/36, -2029/72, 0, 763/36, -743/48, -11/4, -791/18, 11/8, 
  -535/24, 683/96, 3083/72, 69/8, -449/18, 2069/96, 163/24, -15131/72, 
  -227/12, 233/36, 1133/48, -67/18, -35/8, -622957/5760, -25559/30, 
  -3974033/2880, -1787/8, 23/4, -286837/480, 110879/240, 649/2, 252131/480, 
  131/16, -9/8, -129/16, 233207/160, -277/16, 4112543/2880, 2995/32, -275/72, 
  161/24, -383/36, 4, 2557/144, -1/2, -1045/72, -2063/288, 1/16, 403/36, 
  -3355/288, -643/72, -3211/96, -7/8, -103/24, 319/72, -965/96, 1/16, 
  -275/96, 2957/144, -3355/288, -37/16, -643/72, -2021/96, -937/32, 111/8, 
  1/48, -69/4, -643/16, 1/2, -61/8, 357/16, 25/4, 1129/32, -81/8, -1, 63/8, 
  -171/8, 47/4, -1377/32, -23, 1/4, 119/8, 23/8, -99/32, 17/4, 77/8, -4, 
  17/16, 55/32, 3/4, -409/16, -69/32, -77/240, -14939/480, 21/16, 15/4, 
  -539/60, -4211/240, 2669/320, 5749/120, -2269/480, -55/24, 3/4, -4373/480, 
  -7963/960, -73/24, 403/96, -259/24, -25/12, 151/8, 0, 35/12, -71/8, -5/6, 
  -1693/160, -33961/1920, -989/240, 6547/640, -695/32, -1367/128, 75/8, 
  3543/128, -20, -81/16, 59/16, 39/16, -69/16, -15/4, 61/8, 55/8, 109/16, 
  341/48, -29/16, -31/8, 1/16, 151/16, 31/8, 0, -33/16, -541/192, -257/72, 
  -47/32, -24631/1152, 37/6, 29413/1152, 0, 445765/10368, 331/192, 
  84101/3456, 180619/20736, -275005/6912, -1/8, 2809/288, -1253/648, 1/8, 
  52127/6912, -5513/1296, 323209/6912, -79289/3456, -53167/20736, 217/192, 
  475463/6912, 182743/20736, -290629/6912, 18245/864, 3223/288, -3955/1296, 
  -17/36, 467569/20736, 41183/6912, 1/8, -18523/2592, 328393/6912, 205/64, 
  -33187/20736, 217/192, 275017/6912, 154771/20736, -290161/6912, 5567/216, 
  3223/288, -24407/2592, -17/36, 1396273/20736, 23543/6912, -22855/1152, 
  -433/2592, 493927/6912, -1/4, 1/4, -3, 677/40, 3/2, -1209/80, 15/8, -4, 
  -3/8, -817/40, 0, -7/24, -2, -545/128, 29/24, -141/32, -13/24, 0, 553/128, 
  4543/480, 5/24, 41/4, 1999/128, -29/4, -19/128, 19/16, -5/2, 187/16, -5, 
  15/4, -227/16, -5/4, -275/32, -349/32, 67/8, 383/32, -359/32, 277/16, 
  41/16, 667/32, -315/16, 1/4, -5, -1/4, 25/8, -335/32, -7/4, 341/32, 3/2, 
  49/4, -3/2, 121/8, 49/8, -1/4, -21/8, 15/4, 43/8, 1/2, 1/8, 157/12, -1/2, 
  1/8, -1/8, -1/8, -9/8, 13/8, 1, -13/8, 29/8, -69/8, 59/24, -1/6, 7/3, -4/3, 
  -3/8, -1/16, 23/16, 3/8, 0, 21/16, 119/32, -9/32, -81/16, -3, -1/4, -35/8, 
  -103/32, 149/16, 49/16, -9/4, 0, 37/4, 9/4, 0, -173/64, -326453/20736, 3/2, 
  -266377/6912, 187805/20736, 282385/6912, -4945/384, -5423/288, 3461/162, 
  6313/288, 27985/1152, 251/192, -8557/288, -9/64, -503/384, 25/144, 
  -263/288, 4793/192, -5/288, 1001/192, 961/288, -673/288, -7/32, 527/576, 
  65/96, 0, 0, 11/24, 11/24, -101/64, 0, 0, 0, 11/24, 0, -11/8, -581/96, 
  1725/256, 5/32, -1803/128, 1/32, 1753/256, -745/384, -35/72, -1757/384, 
  1021/288, 0, 0, -1213/288, 1/8, -1007/864, 19/24, -5933/768, -19/64, 
  6113/768, 485/144, 2969/288, 125/128, -527/144, -3367/768, 33/32, 
  -6791/256, -1135/384, 1/8, -2321/96, -4891/192, 281/96, 4439/192, 6683/192, 
  1321/192, 2359/96, -307/192, -809/24, -11/48, -444875/6912, -129/2, 259/64, 
  17545/192, 61189/2304, -9/8, -625/24, 281/96, -1/4, 3257/96, 3/4, 2701/96, 
  -307/192, -3181/96, -11/48, -310559/6912, -507/8, 637/48, 20149/192, 
  69829/2304, -13/4, 19/8, 49/32, 0, 0, -3137/240, 0, 0, 0, 0, 0, 2945/96, 
  -13903/384, -17687/1440, 61/6, 0, -2/3, 39631/2880, -15451/384, 7/3, 
  93209/5760, -5/8, 5/6, 6443/288, -2237/128, -1/12, -39631/2880, 5179/384, 
  15101/640, 907/32, -701/64, -157973/20736, 63/32, -237865/6912, 
  94169/20736, 281809/6912, -309/160, -119509/5760, -38/81, 81449/5760, 0, 0, 
  0, 15/8, -15953/1920, -1/2, 18053/1920, 0, 0, 0, 17813/1920, 0, -1/4, 
  65/96, 3/8, 1/8, -9/16, -11/8, 1/3, 31/24, -227/144, 1787/144, -2/3, 7/48, 
  1/4, -179/48, -39/8, -79/32, 43/24, -7/12, 233/96, 352919/2880, 1/3, 
  305/96, 83/16, -451/144, -221/96, 0, -3991/144, 735/64, -3/8, -7/8, 
  4333/144, 11/4, -31/16, -53/24, 7/8, 0, -2651/96, -229/192, -1775/72, 
  1143/32, 31/6, 7/48, -3469/96, 1/8, 3991/144, -133/6, 27/4, 79/24, 31/16, 
  -23/4, 17161/288, 581/32, -1723/96, -59/32, 985/96, -55/8, 27/8, 3973/288, 
  0, -3/2, -253/32, 1/2, 43/4, 253/32, -5/8, -37/4, 1/8, -1/8, 14/3, 9/32, 
  -49/48, -5/12, 529/48, 3/8, -7/6, 937/48, -1/4, -23/8, 151/16, -27/8, 
  -133/16, 1/2, 121/16, -1, -15/2, 3/2, 9/16, 9/16, 0, -34181/5184, 55/288, 
  -3/2, 105559/5184, -449/144, 17/8, -59503/2592, -5/8, -37/48, -587/576, 
  -12689/5184, -815/576, 53437/2592, -49/48, -1487/576, 179687/5184, 
  275381/5184, -287509/10368, 367/144, -49/192, -565109/10368, -143/576, 
  -64633/2592, 1631/576, -54745/3456, -89/24, 13/36, 0, 0, 0, -1/8, 401/32, 
  61/32, 31/8, -53/8, -13/4, 55/48, -73/48, 859/96, 37/48, 0, 0, 0, 0, 0, 
  -1595/192, 33/8, 791/64, 1189/192, 0, -47/4, 0, 1/4, 0, -3/4, 0, 1/2, -1/2, 
  1/12, -5/32, -2903/432, 109/32, 7/6, -1/12, 203/288, -2/3, 0, -3, 1, 3, -1, 
  73/24, 3, 4187/1728, -73/24, 7/2, -7/2, -7/2, -1/4, -409/96, 159/64, -1/2, 
  3/16, -103/16, 0, -47/32, 1/4, 527/432, -1/2, -2/3, -1/4, 1/4, -107/144, 
  -14261/2640, -1303/432, 155/18, -2/3, -23201/864, 4133/864, 1/6, 1165/288, 
  29/48, -571/144, -1139/288, 35/48, 9/8, 345/32, -27/16, -93/16, 0, -883/96, 
  43/48, 9/16, -8, -33/16, -63/8, -19/16, 731/48, -383/32, -76/3, 121/12, 
  -23/2, -255/8, 2239/48, 124/3, -297/32, 5/3, -131/24, 1027/48, -27577/3840, 
  -353/48, 949/96, 167/8, 787/48, -23/4, -101/16, 37/12, 1013/48, 7/16, 
  31/16, 13/24, -63/32, -3/4, 1/2, -21/4, -317/96, -27/16, -611/96, 55/16, 
  -19/12, 43/12, -7/24, -311/96, -37/12, -37/24, -11/24, 31/48, 89/4, 55/4, 
  -43/24, -1541/48, 25/16, -31/48, -953/48, -139/96, 1/3, -15/32, -339/32, 
  -9/16, 55/32, 0, -11/48, 2653/192, -205/384, -2461/192, 0, 97/18, 1039/64, 
  0, 0, -2269/192, -7/24, 495419/6912, 17701/192, -689/24, -1/2, -7/4, 
  -5417/48, 0, -498875/6912, -635/8, -21757/2304, 18551/192, 87901/2304, 
  -211/32, -3/4, 211/32, -59/48, 0, -259/32, 2, 0, -151/8, -1017/32, 5/8, 20, 
  3/8, -19/24, 385/16, 97/16, 1/8, 815/32, 261/4, -199/8, -361/16, -1071/32, 
  -1/4, 23/32, -1, -139/192, -13/8, 31/16, 89/48, 17/16, -1/6, 1/12, -29/24, 
  93/16, 29/8, 2/3, -5/12, 1/4, 1/2, -9/8, -839/48, -3059/192, 543/32, -7/12, 
  49/192, 2563/96, 11/24, -47/32, 29/16, 461/32, 31/16, -1/2, 673/96, 665/72, 
  -21/32, 1, -8339/288, 403/32, 21/8, -71/72, -2, 31/24, -5699/144, -113/48, 
  197/36, -1687/144, -145/72, -25/24, 23/12, 283/144, 1/4, 149/144, 
  32141/864, 3, 343/144, -683/54, 25/8, -97/36, 2819/96, -1027/864, -979/36, 
  5831/864, 35/8, -1/4, -9227/864, -1, 1/2, -337/128, -427/192, -1/2, 
  685/384, 31/64, -3/8, 7/12, 0, -19/48, 4325/576, -1673/64, 133/192, 1/3, 
  27/16, 7/24, -450509/13824, -22235/384, 69/16, -30875/13824, 373/24, 
  163/192, 809/32, 31/96, 3695/192, -1/24, 160829/6912, -117/32, -187/96, 
  -23/2, 105/16, 13/6, -599/192, 21/32, -121/24, -11/64, 11/8, 5/8, 
  -1183/192, -23/32, -35/24, -35/96, -3/4, -37/16, -7/24, 459/64, -5/48, 
  -13/6, 3341/192, 151/32, 33/8, -757/96, -15/8, 1046/135, -511/9, 
  13039/2160, 51049/1728, -487/32, -47/32, 301/32, 11087/288, -97/16, 0, 23, 
  -743/48, -9/4, -5887/144, -33/16, 19/8, 71/16, 0, 0, -33/4, 67/96, 713/96, 
  -169/48, -511/96, -1/3, -35/48, 209/96, 1/3, -413/16, 1153/48, 3, 9/8, 
  -17/32, 7/4, -14297/144, -1057/32, 1625/96, 1705/48, -1927/96, -7/2, 7/8, 
  -2191/288, -9/4, -5/16, 85/32, 231287/320, 13/16, 1/48, 21343/72, 49/8, 
  -3810413/5760, -911/8, -15307/480, 192421/576, -857183/2880, -582899/2880, 
  -2815339/2880, 671081/2880, -29/48, -13/4, -383/48, 11/4, 37/18, -161/144, 
  -95/144, 193/96, 75/2, -179/16, 67069/192, -733/96, -67579/192, -193/72, 
  137/288, 296249/320, 407/48, -382567/480, -11/4, -899477/960, 253/48, 
  3125/96, 93/16, -67685/192, 235/12, 5665/16, -886207/960, -523/96, 
  740149/960, 875077/960, -323/96, -585/32, -2525/192, 5539/192, 1031/96, 
  63/32, -303/32, -93/16, -66487/192, 21/16, 65107/192, 21/8, -861517/960, 
  599/48, -31/16, 121279/160, 11/2, -15/8, 285469/320, 81/8, -33/8, -173/32, 
  -53/24, -577/32, 67789/192, -35/4, -64903/192, 850357/960, 1199/48, 
  -46829/60, -272019/320, -49/24, 597/32, 35/8, -395/48, -13/32, 1/2, 33/16, 
  -2169/320, 61/16, -1701/80, -109/32, -66973/192, 141/32, 65803/192, -59/12, 
  287/96, 3787/480, -878347/960, 12667/480, 187151/240, 205/24, -23/6, 
  866797/960, 1/3, 0, 2321/480, -3, -671/96, -169/8, -159/32, 31/16, 
  -2471/240, 2525/96, -29/24, 11/16, 1/2, 203/32, -55/12, 7/2, 1/2, 
  20267/5184, 593/288, -7/4, -3977/5184, 149/144, 5/4, 1253/576, 11/48, 
  105/32, 8387/5184, 323/144, 185/288, 37/48, 301/96, -109163/15552, 
  -122071/5184, -65/24, 293639/6912, 10369/3456, -787/192, 661727/31104, 
  211/288, 7519/432, -979/288, 1157741/20736, 283/96, 883/96, -44137/1728, 
  -157/16, -3/4, 325/32, 3, -165/32, -9/4, -3/8, -3209/480, -19/16, 19/8, 
  -893/96, 13/8, -29/48, 43/24, 919/96, -25/48, 1, -31/32, 71/16, -15/8, 
  -5/16, 31/8, 1387/240, 1393/384, 419/96, 4579/1920, 1921/96, -433/32, 
  -521/32, -793/48, 149/16, 13/8, -5/8, 5/32, -2, 11/16, -123/32, -1, 
  -125/16, 2, -27/8, -13/24, -997/96, -173/48, 1067/96, 13/12, 5/12, 1253/96, 
  2/3, -61/8, -105/16, 113/8, 129/32, -17/2, 349/48, 73/16, -151/16, 17/48, 
  11/8, 19/8, -7/8, -9/8, 1367/192, 29/24, 1/4, -283/64, 3/8, 1/32, 257/96, 
  1537/192, 1/8, 231179/6912, 4225/96, 55/96, -12017/192, -9541/2304, -13/8, 
  -867/64, 39/32, 1/2, 539/192, 41/24, 3, 639/32, -5/2, 119/48, 157/64, 
  21931/1152, -101/48, -10357/384, -113/48, -251/576, 3109/768, 5/3, 
  -93203/1728, -3257/48, 3677/192, -2323/384, -211/288, 7487/96, -3917/576, 
  59/24, 6, 62005/2304, -1229/288, -7, 0, 0, 0, 0, 0, 1/2, 6427/2880, 3/8, 
  19/4, -4717/2880, -21/4, 11/48, -23/16, -10343/2880, 37/48, 0, 0, 1/2, 0, 
  -1, -82747/2880, 14219/384, 112157/5760, -4367/320, 0, -6, 2, 1/32, 7, 0, 
  11/10, 0, 0, -981/40, 0, 127/15, 0, 0, 1/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 
  31/44, 87/220, 0, 0, 0, -91/72, -161/220, -60047/240, -13, -7859/640, 
  -35/8, 5/2, -6579/640, 0, 329/16, -9/8, 0, 0, 0, 0, 0, 10/3, 0, -17/16, 0, 
  0, 0, 0, 0, 0, 0, 77/9, 397/32, 1/2, -27/8, 0, -9/2, 1/2, -1/2, 0, 
  -75497/96, 0, 27/8, -15/16, 0, 0, 0, 15/16, 521/15, 11/10, 361/10, 
  -3059/80, -12311/160, -2971/32, -143/30, 2221/45, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 12737/324, 147/32, 0, 0, 0, 0, 0, 536/15, -17/30, 521/15, 329/12, 
  311/10, -33/8, -1/8, -2359/60, -1187/30, -981/40, 0, -5033/180, 0, 
  4447/120, 463/120, 2855/32, 0, 0, 0, 0, 0, 0, 0, 2, 1/2, 3, -3/2, 0, 0, 0, 
  0, 0, -16/3, 0, 0, 1/2, 12737/324, 12737/324, 0, 147/32, 0, 0, -407/64, 0, 
  1/2, -1/2, -443/144, 15/16, -1507/192, 0, 1/2, 83/110, 3059/3520, 0, 0, 0, 
  0, 7431/2240, -667729/2240, -349/16, 0, -3/8, 0, -809/96, 0, 0, 41/8, 0, 0, 
  -1, -69/16, 0, 961/48, 0, 0, -17/8, 0, 7/2, 4179/3520, -83/110, -133/110, 
  -129/110, -3059/3520, 989/3520, 483/1760, 0, 0, -7/8, 1127/440, -1, -17/6, 
  0, -1, 7789/3520, -5/8, 25/8, 0, -37/4, -2/5, 0, 0, 0, 0, 3297/1760, 0, 
  -29/9, 0, 27773/3960, 23268289/1440, -603849/160, -1567921/1920, 
  247369/2240, 1623/80, -327/320, 821449/2240, -14169/640, 109/8, -881/16, 
  65083/640, -1942043/960, -4050303/640, 4601273/1440, -4502633/720, 
  -1957409/640, -17/2, -33/4, -437/8, -341/8, -8259/640, 7, 0, -409/8, -7/2, 
  -49/8, 8081/160, -2485/96, 29783/960, -16217/320, -63929/1920, -515/48, 
  -200791/10368, -118441/10368, 17/16, -397/64, -1, 10/3, 389/96, -359/24, 
  -311/24, -229/64, 163/192, -9/2, -23/8, 33/16, 0, -49/16, -41/8, -9/16, 1, 
  -5/3, -215/48, -9/2, 3, -215/48, 0, 1385/48, 1619/96, 1841/96, 0, 0, -7/8, 
  -535/96, 6937/384, 3667/384, 421/64, -25/192, -41/16, -17/8, 0, 19/16, 
  -35/48, 33/16, 1/16, 17/8, -5/2, 3/4, 0, 1196041/10368, -4261/960, 73/12, 
  0, -58/9, -154/9, -782327/17280, 58/9, -186347/3456, -117227/3456, 0, 0, 
  -16/3, 1237513/10368, 0, -1/2, -8821/960, 0, 58/9, 154/9, -97753/720, 6, 
  -1196041/10368, 1196041/10368, -1258249/10368, -1113097/10368, 
  -1206409/10368, 0, 0, 0, 9301/960, 0, 0, 58/9, -38/9, 6277/48, -67/9, 
  6277/48, 761/360, -289/32, 13097/288, -7327/576, 4871/576, -10, -4, -1/2, 
  26225/288, 979/64, 75/16, -54569/576, -47515/576, -2629/192, -58/9, 
  -208619/3456, -222443/3456, -208619/3456, -194795/3456, -4, 0, -5/4, 0, 0, 
  94753/720, 0, 94753/720, 0, 17/4, -1423571/48, -2069/120, -1571/40, 
  -51366583/5376, -1127161949/26880, -1137329/800, -7929522019/134400, 
  3105779/5376, -5462497/480, 4843487/160, 379263/160, 171/32, 88373/1120, 
  75483/1120, -6731/192, 0, -27/8, 5963/192, 4817/192, -63/32, -5101/336, 
  -59471/2240, 136011/2240, -1153/48, 1193/48, 6733/240, 0, 0, 0, 0, 371/144, 
  -1459/96, 1/2, -1/2, -1/2, -371/144, 15/16, 1369/96, 0, 0, 1/2, 0, 2, -1/2, 
  0, 0, 0, 1, -371/144, 1411/96, 443/144, -15/16, -282917/95040, 
  -181979/7920, -2377813/15840, -5513/5940, -92432/1485, -1273/96, 115/16, 1, 
  27/4, -19/6, 817/24, 2281/120, 1/2, -173/4, -461/24, -25/12, 2617/120, 
  -668657/960, 2021/320, 0, 0, -335/48, 3001/288, 439/576, -55/16, -837/40, 
  0, 0, 1/2, 0, -7/8, 23/8, -2, 5/8, 1/16, -9/16, 0, 107/72, 1/3, -113/72, 
  -55/4, -11/4, 4/3, 51/4, -31/96, -623/18, -461/18, 28/9, 186367/576, 
  -713/64, 9/4, -3, -19/2, -2, 301/24, -101/12, -1321/192, -1033/24, 255/32, 
  479/12, 0, 0, 15/2, 0, -27/32, 5/2, 1/8, -15/2, -5/2, -15/2, -647/18, 73/6, 
  37/6, 485/18, -4931/80, -1423/40, 803/40, 14217/160, 809/32, 361/96, 33/16, 
  1549/288, -33/16, -5923/108, 0, 5923/108, 0, -5923/108, -87757/1728, 
  337/192, 91753/1728, 1/2, -93049/1728, -7/2, 1303/40, 7/2, -1461/16, 
  -1973/80, -2697/40, -1383/80, 3819/80, 6259/80, 75/8, 1, -1303/80, -1, 
  12049/160, 277/32, 1221/128, -1221/128, -1221/128, -12085/1728, -1265/288, 
  -37327/1728, -3/16, 37543/1728, 1117/192, 1, 409/96, 27/8, -12085/1728, 
  -1229/288, 46247/864, -39271/3456, -11761/1728, 24955/3456, 44159/864, 0, 
  0, 0, 0, 0, -16487/5184, 0, -1661/384, 19/3, -1, -134/45, 19/24, -63/4, 
  -5/8, 349/24, 0, 4, 0, -307/64, 0, 15/32, -19/36, 1/12, 617/72, 221/24, 
  2089/144, 21415/48, 5/72, 0, 47/4, 227/48, 0, -4999/1320, 493/32, -91/8, 
  221/48, -493/24, 0, -67/12, 0, 2179/3520, 0, 3/4, 145/24, -1921/880, 59/16, 
  13879/1584, 2111/330, -833/72, -187/72, 0, 25/6, -367/36, -2, -17/12, 
  -30085/48, 44343/32, 19382909/2880, 1566337/180, -6493837/360, 
  -5912549/576, -1396837/384, -667/24, -34457/96, -42829/192, 775/24, 
  45773/192, -3131/8, -27/16, 188259/1280, 149/8, -170297/1280, 3/2, -11/2, 
  813/16, -353/16, 127/16, 5, 993/32, -1, -85, -2245/96, -39/80, -169/5, 
  -3307/96, -6225/64, -7909/80, 86249/480, 36011/320, 1649/64, -6597/128, 
  -14593/192, 87/64, -10651/2592, 389/288, -7/8, -2237/128, -19/12, 
  -131527/10368, -8539/2304, 1/4, 30133/2304, 29419/20736, 617989/13824, 
  49/96, 244027/6912, -4067/2304, 649525/13824, 5839/4608, -533/96, 
  30689/13824, -14, 11/24, -189/16, -911/120, 19/12, -32969/5760, 1/32, -1/4, 
  -1591/1152, 2, 217/1920, 7/12, 85/32, 297/640, 145/192, 217/192, 12253/384, 
  -889/64, 145/64, -19/24, 293/48, 329/12, -11/8, -517/48, 805/96, -435/128, 
  -5371/384, -3823/96, 263/96, 11203/576, -1225/96, 1393/72, -4379/144, 0, 
  -7057/1152, 22675/4608, 0, 84785/4608, -950143/41472, -142609/4608, 
  641231/5184, 7421/324, -737777/41472, -1348555/41472, -125209/4608, 
  4881043/41472, 42707/1296, -41449/1296, 0, -3/8, -853/192, -1/32, 0, 
  -11521/1152, -283/96, -65/32, 0, 11707/2880, 1255/128, 0, -18997/2880, 
  -361951/5760, 96383/640, 10301/1152, -28517/360, -64099/1440, 0, 373/384, 
  0, -73/128, -1549/384, 854161/2880, -4528211/3200, 63959/864, -43927/576, 
  503699/3456, 29/36, -93839/41472, 25/72, 11/6, -12098633/28800, 
  -855281/2880, 6011359/14400, 40731899/28800, 1, -2/3, 3463/24, -5/3, 55/12, 
  -2488225/41472, -1324309/20736, -494375/13824, -9/2, 1/16, -2874937/13824, 
  -6452833/41472, -1177033/20736, 1095553/13824, 0, 317617/7200, -1/4, 
  -315817/7200, 11/6, 3573/200, 342511/11520, 119423/576, -83711/768, 
  -13498393/19200, 7619/600, -1774159/28800, -117763/1440, 1524359/28800, 
  4530691/6400, 3/4, -146321/7200, 0, 147221/7200, -4/3, 5189/216, 
  -4165/1152, 44447/576, 7615/864, -19493/96, -171611/864, -2245/2304, 
  287099/1152, 13399/1728, -62105/288, -179585/864, -1639/768, 157459/1152, 
  -30641/1728, 2048473/6912, -51736807/207360, 3734563/41472, 6559429/17280, 
  -25974023/207360, -6329/384, -1607/96, 44003/864, -16, -23101/432, 443/96, 
  24625/432, 49/24, 8671/1152, -59/16, 1411/96, -33257207/622080, 
  -4741405/41472, 50054803/622080, -101651/20736, 3911/5184, -95357/20736, 
  198743/20736, -13524143/155520, 11/8, -2957/648, 5/16, 182651/20736, 
  -10711471/311040, -225905/3456, 5321/864, 70429/864, 26533/1728, -3109/216, 
  2093/216, 7697/1728, 10409/144, -5687/216, 199645/1728, -445399/6912, 
  -449/288, 4265/432, 46013/1728, -42983/1152, -167675/6912, -3965/288, 
  -2675/96, 5575/216, -36239/3456, 0, 0, 3/2, 0, 6967/120, -6475/72, 
  -14903/320, 9607/864, 6967/240, 68023/480, -15943/640, -269659/1440, 
  -1567039/8640, 35777917/172800, 11820023/207360, -5017309/207360, 
  1072993/6912, -768797083/1036800, 0, 35/18, 0, 23/9, -35/18, 
  -364861399/6400, 945283/480, -13030421/2880, 201517/240, -709054487/19200, 
  9583/20, 50908657/2880, 40453/1152, -14263/1152, -1/3, 7/2, 29605/1152, 
  -35/16, -341/24, 276499/960, 2141/128, -745/12, 58159/960, 110911/960, 
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  11/72, -9/8, 55/48, 1/2, -1, -83/72, 167/48, -23/144, -27/16, 4/3, 3/16, 
  1/4, -5/36, 1/12, -31/48, -1/16, 13/48, -1/36, 29/12, -3/16, 17/48, -1/16, 
  -11/48, 0, 7/16, -3/16, 1/4, -11/16, -1/4, 1, -3/4, -17/48, -11/4, 43/16, 
  1, -4/3, 13/12, -17/12, 0, 0, -5/16, 3/16, 0, 15/16, 1, 5/12, -37/16, -4/3, 
  0, 0, 0, 0, 7/16, -3/16, 1/4, -9/8, 3/16, -1/2, 11/16, 1/4, -1/2, -29/48, 
  1, 23/8, -31/48, -7/8, -2, -1/2, 2/3, -17/6, -5/3, 17/16, 2, 0, 9/16, 
  -3/16, 1/2, -1/8, -3/16, -1/2, -15/16, -1, -77/48, 3/8, -3/16, -5/12, -1/4, 
  7/3, 29/24, -83/48, -4/3, -5/8, 3/8, 15/8, 0, 19/12, -3/8, -51/16, -23/24, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -1, 
  0, 0, 0, 0, 0, 0, 3/2, 0, -7/2, 0, 0, 0, 0, 0, 0, -5, 5/2, 0, 0, 0, 0, -2, 
  0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/2, 0, 0, 0, 0, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/3, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 0, 
  0, 0, 0, 0, -4, 0, 1/8, -1, 1/8, -8/3, 0, 0, 0, -8/3, 0, 0, -3/2, -5/2, 0, 
  0, 0, 13/6, 2/3, 0, 137/24, -7/8, 0, 0, 0, 0, 0, 0, -1/12, -1, 1/3, 0, -2, 
  2/3, 0, 0, 0, 3/4, 28/3, 7/3, 0, 0, 0, 0, 0, 0, 0, -2/3, 0, -1, 0, 17/6, 0, 
  0, 0, 1, 1, -1/3, -1, -25/3, 1, 0, 0, 0, 7/3, 0, 0, -14/3, 0, 7/3, 0, 0, 
  -7/3, 0, 0, 9/4, 0, -13/12, -9/4, -9/4, -1, 0, 3, -9/4, 23/6, 1/2, 1, 0, 
  -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, -1, 3/2, 1/2, -3/2, 3/2, 1/2, 0, 0, 
  -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/6, 
  -7/12, -31/4, -3/4, 35/6, 1/4, -1/4, 19/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 
  -21, -4, -137/4, -53/4, 0, 5/2, 5/2, 0, 4, 21, 53/4, -5/2, 0, 0, 3/2, 0, 
  3/2, 0, 0, 6, -33/2, 0, 21/2, -39/4, 0, 15, 15/4, 6, -21/4, -6, 0, 2, 0, 
  -2, 0, 0, -23/4, 0, 25/2, 9/2, 5/4, -1/2, -19/2, 0, -2/3, 23/18, -2, 3/2, 
  -11/18, -5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2/3, 0, -4/3, 1, 
  0, -2, 0, -1/2, 0, 1/8, -1/2, 1/8, 0, 0, -9/4, 0, -2, 17/4, 0, -9/4, 0, 
  1/2, 3/4, 1/4, 0, -5/3, 5, -4/3, 17/8, -107/24, -7/4, 0, -3/8, -4/3, 
  -63/16, -19/16, 0, 0, 10/3, 0, 5/16, 0, 1, -1, 25/48, -9/8, 11/3, -41/24, 
  -4/3, 9/8, 0, -1/8, -9/8, -1, 5/8, -1/4, 13/4, -2, 11/3, -5/6, -85/48, 
  -4/3, -37/24, -9/4, 33/16, -9/16, -33/16, 0, 2/3, 0, -25/24, 0, 1/18, 0, 0, 
  0, 0, 0, 0, 0, -7/12, 3/16, 1, 67/96, -1/4, 1/3, -9/8, -29/48, 0, 0, 21/32, 
  0, -11/32, -49/8, -3/4, 1/4, 0, -29/96, 21/16, 9/4, -35/48, 3, -23/4, 17/4, 
  -29/12, 13/8, 1/16, 0, 67/32, 33/8, -1/2, -1/2, 0, 1/8, -3/8, 1/4, -75/32, 
  -43/32, -1/4, -19/32, -89/32, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 
  0, 0, 11/4, -3/2, -13/12, 0, -4, 7/12, 5/4, 5/3, -5/4, 0, 11/12, 2, -3/4, 
  0, 2, 1/2, 1/12, 7/16, 0, -1/2, -3/4, 119/72, -3/4, 35/24, 2, 0, -953/72, 
  2, 9/8, 1/12, -17/16, -77/16, -7/24, 73/16, 0, 0, 1, 13/3, -2, 1/6, -1, 
  11/4, -13/3, -17/12, 2, 17/12, 7/3, 14/3, 0, -9/8, 11/4, 21/2, 23/8, -37/8, 
  -19, -7/8, 29/3, -5, -93/8, 0, 121/12, 0, -41/24, 3/2, 9/8, 61/24, -7/8, 
  1/4, -53/8, 0, 61/12, 0, 0, -5/3, -35/6, -3/2, -17/6, 0, -23/24, 5/6, 17/6, 
  13/4, 1/6, 41/6, -1/6, -21/8, -5/2, 0, 0, 0, 13/36, -1/12, -1/6, 0, 0, 0, 
  1/2, 0, 1/4, -5, -80/3, 0, -2, 5/36, 1/6, 0, 7/2, 2/9, 0, -23/6, -5/4, 
  -7/6, -4, 11/6, 4, 29/24, 43/72, 2/9, -11/4, 7/6, 13/72, -67/12, -5/4, 3/2, 
  -9/8, -1/2, 1, 7/2, -5/6, 29/12, -5/6, 39/80, 19/18, -19/12, -1/8, 29/12, 
  1/8, -5/6, -23/80, -43/80, 29/80, 1147/720, -2, 0, -3/2, 1, 0, 0, 1/4, 
  -3/80, -3/2, 93/80, 23/4, -5/4, -9/2, 113/80, -3/2, 9, 14, 0, 80/3, 0, 0, 
  -4, 6, 9/2, -23, 3/4, -11/4, 28/3, 4/3, 95/3, -16/3, 0, 0, 0, 0, 24, 3, 
  -27/4, -24, -63/4, -6, -50, -23, 6, 26, 0, 0, 0, 0, 0, 19/24, -1/2, 313/72, 
  121/72, 73/72, -269/36, -167/144, 67/144, -449/72, 2, 67/27, -11/48, 
  149/72, 1559/144, -299/72, -175/72, -457/144, 9/4, 19/6, 3857/864, 5/8, 
  739/144, -461/144, -6695/864, -509/144, -3, -46/9, 9/4, 179/72, 8159/864, 
  3/8, 859/72, -461/144, -7085/864, -509/144, -7/2, 697/144, 7/4, 1027/144, 
  91/72, 0, 0, 0, 0, 0, 0, -5/6, 43/6, -5/3, 2/3, -1/18, 0, 0, 0, -5, 
  221/120, 3, -581/120, 0, 0, 0, 0, -1, -5/4, 3/4, 0, -2, 3/2, 7/3, 29/12, 
  -7/9, -73/24, -8/3, -4/3, 1, 1, -3/8, -7/3, -4/3, 4/3, 0, 0, 0, 0, 1/6, 
  -11/2, -3/4, 3/2, -73/12, 11/2, -9/2, 11/3, 1, 1/4, -41/12, -5/2, -16/3, 
  -29/6, 19/12, -13/12, 11/4, 7/3, 7/12, -1/6, 11/2, 3/4, 107/12, 3/2, -5/2, 
  9/2, 19/2, -13/12, -10/3, 0, 0, -5/8, 0, 0, 1/2, -11/4, -11/8, -5/4, 35/8, 
  11/8, 3/4, -13/8, 0, -7/6, -73/12, -49/8, -7/6, 173/24, 79/12, 2/3, 53/12, 
  -19/24, 0, 7/4, -9/4, -9/4, 9/4, 1/2, -29/12, 1/4, -113/24, 2/3, 1, -1, -1, 
  3/2, -611/432, -8/9, 65/144, -1351/864, -17/72, -93/16, 1/16, 3, -103/48, 
  827/432, -1871/864, 85/108, 21/4, 23/48, 779/432, -35/144, -59/48, 25/36, 
  73/48, 373/432, 29/48, 17/16, 0, 0, 0, 0, 0, -13/12, -37/40, -3/8, 35/48, 
  9/80, -7/48, 103/48, 37/16, -19/48, -145/144, 0, 0, 0, 0, 0, 0, 0, 0, -7/8, 
  3/8, -1/2, 9/4, -3/8, 1, -11/8, -1/2, 1, 25/12, -3/8, -7/3, -29/24, 4/3, 
  5/8, -3/8, -5/2, 3/8, 15/8, -19/12, 3/8, 23/24, 0, 0, 0, -1, 15/8, 1, -2, 
  6, -1/2, 0, -15/8, 7/3, -79/24, -7/12, -1/3, 1/4, 1, -59/24, 15/8, -7/3, 
  55/24, 4/3, -3/8, 3/8, -3/4, -9/8, 1, -3/8, -11/2, -1/8, -31/8, 21/4, 17/2, 
  17/4, -29/4, -5/2, -7/3, 91/12, 119/24, -5/4, -89/4, 79/12, -2/3, -31/4, 
  133/12, 8/3, 9/4, 11/2, 3/4, -23/4, -13/2, 5/2, -151/24, -95/12, 137/12, 
  143/24, 1/2, -1, 1, 3/4, 0, 1, 1/16, -11/16, -1, 95/48, -17/16, 15/4, 
  -17/32, -2, -21/8, -25/48, 5/6, 41/32, 17/6, 13/8, 2/3, 1/6, 73/16, 25/8, 
  31/6, 17/16, 1/8, -5/6, -83/32, -157/24, -2/3, -7/2, 27/32, -1/8, 29/6, 
  -1/4, 0, -29/72, 1/2, 409/108, -1033/144, 697/144, -1981/288, -11/8, 
  -653/144, 467/144, 1493/288, 587/144, -1/12, -533/80, -7/16, -47/24, 
  139/40, -1/12, 7/6, 33/16, -877/240, 0, -43/36, 0, 1/2, -29/32, 3/8, 1/2, 
  -97/64, 271/64, -11/4, 107/16, 23/8, 7/12, 29/24, 11/8, 105/64, -223/48, 
  -4/3, -67/24, -1/2, 75/32, -3/8, -57/64, -61/32, -35/8, -7/12, -95/96, 
  -655/192, -5/12, -21/16, 3/4, -265/64, 89/48, 0, 1, -1/16, -2, 43/24, -3, 
  25/8, 3/2, -7/3, 23/48, 1/8, -65/24, -35/12, 4/3, -7/24, 7/8, -1/8, 1, 
  -27/8, -49/8, -11/16, -5/8, -17/6, 59/8, 335/48, 11/6, 1/2, -3/4, -1/2, 
  -1/2, 0, -2, 47/432, 83/144, 163/36, 5203/864, -11/12, -27/16, -4, -1/18, 
  -131/144, -2275/864, 3/4, 4, 163/72, 1/6, 15/16, 1079/144, 5/48, 271/144, 
  -475/48, -71/24, -3/4, -23/12, -113/48, -13/8, 53/18, 17/16, 3/16, -101/18, 
  -3/4, 17/12, 5/12, -131/30, 11/16, 67/144, 493/240, 35/48, 49/48, -1/48, 
  -43/16, -215/144, -53/18, 83/72, -15/16, 37/6, 95/144, -3, -173/72, 3/4, 
  5/4, 0, 0, 65/24, 29/24, -3/8, -1, 49/8, -45/8, 5/8, -61/12, -9/8, -5/2, 
  -239/48, 31/12, 97/48, 85/12, 83/16, 35/6, 5/4, -7/16, -77/24, -181/48, 
  -37/48, 3/8, 97/48, -1, 1/2, 5/48, -173/16, 101/24, 41/8, -5/4, 0, 89/16, 
  5/4, 0, 0, -3/8, 45/16, -7/4, 0, -61/24, 35/12, 0, 3/4, 0, 1/72, 1/72, 0, 
  -5/36, 0, -1/8, -1/4, 0, 13/8, 0, 0, 1/4, -33/16, 3/2, 0, 17/8, 17/12, 0, 
  -8/3, 0, -3, 947/432, 35/24, 979/144, 1093/864, -1/3, -47/16, -13/24, 0, 
  295/48, -743/432, -6835/864, -71/216, 19/24, -151/48, 143/216, -67/72, 
  -26/3, -155/48, -223/144, 113/18, 403/216, 11/3, 101/48, -119/72, 19/8, 
  -13/6, -49/40, 59/24, 49/40, -7/24, 7/12, 79/48, -1/8, 13/48, -29/24, 
  -89/48, -71/48, -215/144, 71/30, 145/144, 21/4, -251/40, -1, -53/4, 93/16, 
  5, -25/3, 143/120, 35/24, 15/8, -15/4, 11/8, -3/2, 25/24, -3/4, 0, 27/8, 
  5/2, 13/2, -9, -19/4, -65/8, -37/8, 21/8, -2, -45/8, 7/8, -919/48, -29/3, 
  -79/48, 14/3, 13/4, 623/48, -8/3, -31/4, -29/8, -1/2, -17/8, 0, 155/12, 
  49/8, -21/4, -31/6, -19/4, -5, 19/4, 1, -73/108, 89/144, -199/36, 2597/864, 
  73/144, 343/72, 595/432, 1/8, 17/9, 59/12, 73/32, -223/24, -331/432, 
  -211/72, -29/48, -67/144, 767/96, -3/4, 85/144, -1241/288, -73/24, -211/96, 
  -203/48, 1469/288, 7/18, -197/36, 3/4, 35/8, 667/144, 0, 0, 0, 0, 0, 0, 
  -41/12, -449/720, 1/2, 251/48, -61/720, -7/48, 311/48, 55/16, 1417/720, 
  -457/144, 0, -7/4, 3/4, -1, 11/4, 1, 5/4, -3/4, -15/4, 0, 1, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 3/2, 0, 
  -1, 1, 0, 2, 0, -19/3, 7/2, 4/3, -15/2, 24, 0, -8, 0, 0, 0, 15, 1/2, 91/16, 
  -7/16, 0, 0, 0, 0, 1, 0, 0, 4, -2, 3/2, 0, 0, 3/2, 0, 0, 0, 0, 4, -24, 0, 
  -10, -4, 0, 0, 0, 0, 0, -13/4, 21/2, -28/3, -6, 0, -33/4, -551/8, -91/8, 
  103/4, -145/8, 0, 0, 3/4, 0, -10, 0, -57/4, 33/2, 0, 123/8, 297/8, 0, 
  -105/8, 0, 0, 0, -1/2, 5, -795/8, 5/6, 795/8, 0, 0, 0, 13, 0, 1/2, -13, 
  -45/4, -63/4, 107/12, 0, -101/10, 0, 25/2, 0, -3/2, 1/2, 0, 397/20, 0, 
  -354/5, -389/20, -3081/40, -267/40, 3081/40, 3411/40, 79/4, 0, -397/40, 0, 
  4053/40, -27/8, 0, 35/12, 0, -3, 0, 0, 0, 32/3, 0, 0, 8, 0, 0, -1/2, 59/12, 
  -17/3, -1/3, -3/2, 0, 0, 129/16, 111/16, 0, 0, -95/8, -173/24, -5, 177/8, 
  -5/2, 2, -1/2, 73/24, 37/8, -5/2, -7, 5/2, 0, 1/2, 6, -2, 7/2, -5, 
  -1385/96, -6883/96, -861/32, 233/144, 7/144, -3/4, 0, 0, 1/4, 1/36, -23/18, 
  0, -3/4, -28, 0, 0, 163/8, -5/2, 0, -23/8, 8, 9/4, 0, 9/2, 7/4, -1379/96, 
  -83/96, -4349/32, -1121/96, -893/96, -4/3, 67/12, 11/2, -3, 1, -691/48, 
  3907/48, 217/16, -651/16, -875/48, -1085/32, 44, 0, -5365/384, 1249/256, 0, 
  4901/768, -8459/384, -101/96, 4251/256, 31/3, -3923/256, 0, 0, 1/2, 0, 0, 
  -3/4, 0, 0, -5/2, 0, 0, 0, 0, -13/8, -11/2, 1/2, 0, -1/4, 0, -1, 0, -1/2, 
  0, 9/4, 1/4, 0, 0, 7/3, 0, 0, 0, 14/3, 0, -11, 11, 1106/9, -653/12, 
  -2075/18, -2215/48, 809/18, -653/24, -1481/36, -1423/48, 505/48, 497/18, 
  -725/48, -701/24, -1243/48, 353/12, 407/18, -1469/48, -209/8, -38, 0, 0, 0, 
  0, 0, 0, 1691/48, 49/2, -185/48, 251/4, 1007/48, -117/4, -2389/48, 1319/12, 
  2619/40, 2601/40, -2829/40, -75/2, 3969/40, 27, -4979/40, -3387/40, -7/3, 
  -13/4, 19/8, -37/16, 75/16, -11, 23/3, 151/16, 155/24, -4/3, -135/8, 
  -123/16, 31/8, 83/24, -23/8, -1/2, -15991/1728, 557/144, 365/144, 499/144, 
  -587/144, 1/6, 191/12, -1/3, 1/3, 9/40, 43/18, 523/40, 7/8, 0, -149/36, 
  -3/8, 10/3, -71/96, -1/4, 119/36, -5/8, -209/48, 0, -33/8, -325/16, 13/2, 
  -167/16, 463/8, 137/8, 293/48, 395/16, 0, -23/48, 47/16, 139/4, -119/8, 
  -59/16, 0, 2, 11, -5/3, -817/16, -2701/48, 713/16, -1, -587/72, 8677/144, 
  -5/6, 923/16, 130/3, -713/16, -8677/144, 1/4, 0, 86/3, -53/4, -1/6, 
  -409/12, 1, 7/4, 27/4, 33/8, -5/12, -86/3, 181/6, 98/3, 4, -203/12, -21/8, 
  27/8, 153/8, 97/8, -21/2, 95/24, -6, -203/8, -43/6, -15/2, -19/2, -11/6, 0, 
  11/3, 1477/48, 307/48, -1477/48, -161/16, -349/48, -6, 961/48, 31/36, 
  281/16, 913/48, -13/12, -1069/48, 295/48, -11/12, 537/20, 13/2, 13/12, 
  -537/20, -1/6, -1273/80, -677/20, 591/10, 10727/720, -207/16, -99/4, 35/8, 
  251/16, 41/8, 369/16, 59/8, -33, -95/8, 47/16, -44, -59/8, 421/24, 335/16, 
  -11/2, 11/2, 11/2, 409/144, 55/16, -89/72, 0, 0, 0, 0, 0, 0, 0, 1/3, 2/3, 
  1/16, -1/9, 91/24, 4/3, 109/18, 29/48, -97/24, 41/12, -1, -11359/864, 
  3811/144, 797/72, -89/8, -545/72, -1709/144, 7/4, -7/6, 43/8, 1/12, -17/6, 
  -27/5, 19/36, -9/8, -1835/144, -27/16, 373/32, -1727/72, -37/8, -13/8, 
  -535/96, 4861/288, 101/12, 155/36, -551/48, 1835/96, -7/72, 509/48, 
  -101/12, 823/48, -123/16, 289/24, -67/6, -673/48, -187/48, -3/4, 283/96, 
  61/32, 5/2, 2945/108, -257/18, -527/24, -131/24, 1427/72, 511/72, -1763/48, 
  5861/144, 29/4, 29/6, -185/12, 13/3, -13/12, -407/120, -17/9, -443/40, 
  41/5, 29/8, -13/8, 29/16, -169/96, -229/32, -93/8, 83/24, 5/12, 35/48, 
  41/16, -101/32, 105/32, -1, -9545/1728, 353/18, 797/72, -977/72, -587/72, 
  -1277/144, 27/8, 15/4, -1043/60, -19/8, -89/8, -731/160, 25/4, -47/6, 
  839/160, 103/48, 7/4, 1051/240, 317/32, -65/32, 3593/480, 129/32, 11/3, 
  -1579/192, -43/64, 1277/192, 2917/64, -289/32, -20/3, -3815/192, -7265/192, 
  71/12, 91/6, -961/192, 533/64, 559/16, 905/48, -5/2, 5461/384, -205/144, 
  -8995/1152, -79585/2304, 507/256, -301/48, -2827/144, 15275/576, 331/48, 
  -19883/2304, -5143/576, -15863/2304, -121/64, -1099/576, 7/12, 61/12, 0, 0, 
  649/48, 23/12, 543/40, 7/8, 2, 61/8, 0, -71/36, -199/24, 13/72, -1/6, 0, 
  77/8, -7/6, 1, 1/4, -1, 4, 0, 0, -59/16, 147/16, -49/24, -35/4, -3, 5, 
  169/16, 37/3, 431/12, -209/24, -151/8, -155/8, 0, 151/8, 0, -31/6, -175/36, 
  7/4, 387/16, 475/48, -57/4, 1925/144, 17/12, -1963/72, -1187/144, -317/72, 
  -24209/864, -41/12, 1675/72, 1079/24, -647/24, 277/96, 431/48, -2909/72, 
  385/48, -401/18, -1097/96, 11/3, 1657/96, 89/24, -5/3, -955/48, 203/48, 
  43/3, 4097/240, -10/3, 4303/240, -857/240, -3917/240, -67/360, 991/48, 
  -155/16, -661/48, 11/4, 149/24, 29/8, -171/40, -13/32, -13, 247/80, 13/2, 
  -187/80, 1811/480, 289/240, -643/240, -25/12, -2789/1080, 527/36, -433/72, 
  9941/720, 59/12, 443/72, -139/12, -8863/720, -157/72, 111/16, 6095/432, 
  -1223/144, -1951/288, -3227/144, 1/8, -3529/144, -257/144, 1103/48, 395/36, 
  121/8, -7805/288, 9/2, 491/36, 16163/432, -65/8, -11981/288, -2957/144, 
  -16037/432, 1087/48, -1427/72, -2801/48, 371/24, 245/48, -875/24, -109/6, 
  143/5, -9/2, 91/12, 2249/80, 5/6, 2521/80, 2233/60, -947/80, -991/45, 
  98/15, 39/2, -27/2, 241/20, 37/4, 37/4, -1043/360, -457/12, -815/144, 
  -165659/4320, -113/24, -2019/80, 2833/90, 35233/864, 12671/720, -37/4, 1, 
  -651/8, -2221/20, 51/2, -131/8, 0, -249/4, 0, -2049/16, -1023/8, 9/2, 0, 
  2021/16, 3543/16, 117/4, 4417/40, 9, -27/4, -469/48, 7025/96, -4049/96, 
  23/2, -2317/40, -6073/80, -1131/20, -193/16, 403/16, 15829/384, -13/6, 
  41/6, -1493/96, -863/16, 507/16, 2601/40, 2039/24, 553/16, 63/8, -297/16, 
  -91/6, 0, -265/3, 607/48, 281/12, 1631/48, -89/2, -421/8, -17921/72, 
  8809/48, 26603/144, -395/16, 0, 1259/24, -8277/80, -355/16, 1537/40, 42, 
  -72643/960, -52/3, 23633/960, -22675/192, 26899/768, 405151/2304, 
  -15965/256, -2483/36, 19231/768, 1479/80, -28, -65/4, 21/16, 1517/24, 
  -189/16, -2521/40, -903/20, -347/16, -2471/90, -635/8, 1279/60, 5807/72, 
  15/2, 31/144, 26323/192, -1199/128, -1975/16, -12011/384, 26323/256, 
  6247/768, 21457/256, 4369/96, -57923/768, -1399/32, -17507/160, 2969/20, 
  9141/160, 1807/16, 685/48, -3257/48, -1769/144, -75/16, 3627/80, -2781/80, 
  169/24, -1/4, 4051/288, -153875/1152, 37097/1920, 46837/320, -9727/32, 
  -3601/16, -22987/80, -14681/320, -98147/1920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 7/4, -3/2, 0, 3/2, 0, 0, 0, 1, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/2, 
  5/4, -5/4, -5/2, 0, -1/4, 1/2, 1/2, 0, 1/4, 1/2, -1/2, -1/4, -1/2, 0, 0, 0, 
  -1, 0, 2, 0, -5/4, 0, 1/8, 1/2, 0, 1/2, 7/8, 0, 29/8, 25/8, -11/8, -35/8, 
  -17/8, 0, -1, 0, 0, 9/8, 0, 1/4, 0, -1/4, 5/16, 1/8, -5/16, -1/8, -1/4, 
  1/16, 1/8, -1/16, -17/16, 17/16, 0, 0, 1/4, -1/16, -1/2, -7/16, 0, 0, 
  13/16, 0, 1/4, 0, -1, 0, 1/4, 0, -3/4, 3/8, 0, -7/24, 0, 25/24, -1/2, 5/8, 
  0, -1/2, -19/24, 0, 1/8, -3/16, -3/8, 1/8, 1/4, 0, 7/16, 0, 3/8, -1, 0, 
  -1/4, -3/32, -1/4, -37/32, -7/8, 5/8, 1, 1/2, 7/12, -1/24, 7/12, 23/32, 
  55/96, -1/3, -1/3, 1/4, 25/16, 15/16, 35/32, 0, -23/16, -7/12, -143/96, 
  -7/6, 1/3, -55/32, -19/16, 19/16, 47/32, 1/2, 0, -3/4, 0, -3/4, -1/4, 1, 
  -2/3, 29/48, -1/12, -29/16, 29/48, -1/2, -7/12, 35/48, 2/3, -11/8, 13/16, 
  15/8, 55/16, 1/2, -23/8, -11/6, -203/48, 11/48, 77/24, -47/16, -19/8, 19/8, 
  51/16, 0, 0, -1/4, -3/8, 1/2, 7/16, -1/12, 0, -13/48, 1, -1/2, -7/12, 
  55/48, 2/3, 0, 0, 15/8, -5/8, 13/16, -203/48, -1/6, 61/24, -19/8, 51/16, 0, 
  -1/8, -3/16, 1/4, 1/4, -1/24, -1/4, -31/96, 3/16, 5/8, -3/8, 1/2, -1/3, 
  1/3, -25/48, -19/96, 0, 0, 15/16, -5/16, -67/48, 139/96, 9/16, -23/16, 
  -5/96, -19/16, 19/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 
  1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1, -1/2, 0, 2, 0, 1, 
  0, 1/2, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, 2, 0, 
  0, -1, 3/2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 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, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 3/2, 0, -3/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 
  0, 0, 0, 0, -3/2, 3/2, -3/2, 0, 0, 0, 1, -3/2, 0, 0, 0, 2, 0, 0, -1/4, 0, 
  -7/4, -1, -1/2, 1, 5/4, 0, 1/2, 55/8, 43/8, -5/4, -67/8, 0, -11/16, -11/16, 
  0, 11/8, 0, 23/16, 0, 7/4, -27/16, 11/16, 11/16, -1/8, 1/2, 11/16, 0, 9/16, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 
  1/4, 0, -31/24, 0, -67/24, 1/2, 1/4, 0, 0, 21/16, -1/4, -33/16, 0, 0, 0, 0, 
  0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, 1/2, -1/2, 
  -1/2, 0, -1/2, -5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5/4, 0, 3, 1, 0, -1/2, 0, 
  0, 0, -1, 0, 0, 1, 1/2, 0, -3/4, -1/2, -1/2, 0, 1, 1/2, -1/4, -31/16, -5/4, 
  -3/16, -1/2, -47/8, -67/16, -3/4, 157/16, -1/2, 9/4, 47/16, 1/4, -49/16, 
  1/2, -3, -21/16, -1/4, -15/16, 0, 0, 0, 0, 5/4, 3/2, 7/4, -7/4, 0, 7/4, 
  -3/4, 4, 3/4, -7/2, -31/24, -1/8, 9/8, 55/24, 21/16, -1/8, -33/16, -7/8, 0, 
  0, 0, 0, -3/4, -1/16, -1/4, 9/16, 0, 0, 0, 0, 0, 0, 0, -3/16, 5/16, -1/2, 
  0, -5/8, 0, 3/4, -3/4, 0, 0, 0, 7/8, -7/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, 
  0, 1/4, -1, 0, -7/3, 17/12, -1/4, 0, -1/2, -1/4, 0, 0, 0, 1/4, 1/2, 7/6, 
  -1/4, 0, 5/8, 0, 5/4, 3/4, 0, 0, 0, -7/8, -7/8, 0, 0, 0, -1/2, 0, 0, 0, 
  1/2, 0, 0, 10/3, 15/4, -5/4, -40/9, -5/3, -1/4, 1/2, 1, 0, 0, 1/2, 1/4, 
  1/2, -1/2, -25/36, -1/2, 0, 5/4, 3/8, 0, -3/2, 0, 0, -1/8, 1/8, 1/8, 1/8, 
  1/2, 1/4, -1/8, -9/8, 0, -7/4, -7/4, 0, -7/4, -7/4, 0, 0, 0, 0, 3/2, 0, 0, 
  0, -1, 0, 0, -5/8, 9/8, -1/2, 1/2, -9/8, 1/8, 1/8, -5/8, 9/8, 1/2, -1/4, 
  9/4, 3/4, 1/4, 0, 0, -1/2, 0, 1/2, -1/4, -3/8, -3/8, 1, 9/4, -9/8, -5/8, 
  3/4, 1/8, -1/8, 1/8, 0, 0, 0, 0, -35/24, 0, 4/3, 11/24, -11/12, 11/24, 
  -11/12, 11/12, 11/24, -7/24, -7/24, 0, -19/12, 11/24, 0, 1/8, 59/96, 
  -59/32, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1/2, 0, 0, 0, 0, 0, 0, 13/16, 13/16, 
  0, 7/8, 0, 0, 0, 0, 0, 0, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 3/8, -5/32, 3/32, 
  -5/4, 1/4, 11/8, -1/2, 5/32, 1, 1/8, 17/8, -17/8, -17/8, -1/4, 0, 1/2, 1/2, 
  0, 0, -3/4, 0, 0, 0, 0, 27/32, 3/4, -9/8, -3/2, 0, 0, 0, -1, 2, 0, 0, 0, 0, 
  0, 0, 1/8, 0, 0, 0, 0, 0, 7/6, -1/6, 0, 0, 0, 11/12, 5/4, 0, -11/6, 0, 1/8, 
  -4/3, 0, 0, 0, 0, 11/12, 1/6, 0, -11/12, 0, -1/4, 0, -3/8, -1/2, 0, 0, 
  -5/8, 0, -53/24, -13/8, 37/24, 83/24, -7/24, -5/3, -15/8, -5/6, -5/12, 3/4, 
  5/2, 5/3, 5/3, -1/24, -7/8, -5/9, 5/3, 3/4, 3/8, 5/3, 0, 69/32, 9/4, -11/8, 
  -23/16, -7/12, 7/6, 5/2, 5/6, 5/3, 3/4, -2, -5/3, -5/6, 5/3, 3/8, -25/18, 
  -5/3, 0, 2/3, 165/32, 9/4, 5/3, -11/8, -71/16, -5/3, 7/12, -2/3, -5/6, 1/9, 
  -5/3, 0, 0, 1, 1/8, 1/2, -1/2, 1/2, 7/8, 1/2, 23/24, 29/8, -11/8, -343/72, 
  -91/24, 7/4, 27/8, 33/16, -33/16, -7/2, -43/8, -73/16, -7/4, 15/4, 67/16, 
  5/2, -19/8, -19/4, 3/4, -1, -9/16, 3/8, 31/16, 45/16, 5/16, -5/8, 43/16, 
  1/16, 5/4, -7/8, 17/16, 15/16, -27/8, -9/4, 3/8, 13/4, -11/16, -5/8, 11/2, 
  13/8, -9/4, -27/8, -171/16, -7/4, 33/4, 73/8, -11/4, 1, 71/16, -7/8, 
  -37/16, -51/8, 5/16, 9/8, -61/16, 61/16, -15/8, -129/16, -7/4, 51/16, 
  53/16, 25/8, 3/2, -21/16, -7/8, 17/8, 5/8, -2, -9/16, 5/8, 11/4, -11/8, 
  -15/8, 39/16, 19/8, 0, 9/8, -11/8, 0, 5/4, 0, 9/4, 0, 0, -5/8, -11/8, -1, 
  2, 11/8, -11/8, 1/8, -9/8, -13/8, 1/2, -3/4, 1, 0, 3/4, 0, -1/2, -1, 9/8, 
  0, -5/8, 29/8, -3/2, -17/4, -5/8, 0, 0, 1, -3/8, -5/2, 13/8, 0, 1/4, 9/4, 
  0, 3, 3/4, -1, -3, 0, 0, 1/4, -1, 1/4, 3/4, 0, 2, 25/8, 0, 37/8, -1/2, 
  -11/8, -25/8, 0, 1/2, 3/4, -1, -1/8, -3/4, -3/8, 1/2, -7/8, -1/8, 1/8, 
  -11/4, 39/8, 0, 7/4, 17/8, 0, 23/24, -119/48, -1/4, -1/8, -11/12, 11/6, 
  -11/12, 11/12, -11/12, 11/48, -49/24, -13/6, 1/4, 11/12, -11/12, -41/24, 
  11/48, -107/48, -13/6, -35/48, 0, -23/24, 61/48, -155/96, -125/96, 0, 
  -61/96, -41/32, 0, 0, 1, -23/24, 1, 45/32, -3/4, 0, -61/96, -95/24, 0, 
  -11/48, -241/48, -7/96, 257/96, 13/48, -11/12, 11/12, 11/12, 61/48, -7/24, 
  -163/96, 59/96, -3/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/16, 1/4, -1/2, 
  0, 0, 0, 0, 0, 0, 0, 27/32, -5/8, 31/32, 1/8, 0, -61/32, -61/32, 0, 1/8, 
  25/32, -5/8, -59/32, 0, 0, -1/8, -51/32, 5/8, 67/32, 13/16, 0, 0, 0, 0, 0, 
  -13/8, 27/32, 13/8, -25/32, -13/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/16, 
  0, 0, 0, 1/2, 1, 0, 0, -1/2, 0, 0, -7/4, 0, 0, -3/16, 0, 5/4, 0, 0, 1/2, 
  -5/4, 0, -3/4, 9/8, 3/32, -1/4, 0, 1/2, 5/24, 5/32, 3/2, 5/8, -5/8, 35/32, 
  -15/8, 23/24, 5/4, 0, 0, 1/4, -17/32, 0, 3/2, -5/8, -5/6, 1/12, -1/4, 
  -25/48, 2/3, 1/3, -1/4, -11/16, -15/8, -25/48, 1/2, 7/12, 277/96, 107/96, 
  -1/3, 47/32, 19/8, -47/32, -19/8, -9/16, -1, 9/16, 7/4, 19/8, -3/4, 35/16, 
  53/32, -3, 9/16, 3/2, -1/3, 19/16, 19/8, -9/16, 0, -9/32, 43/32, -63/64, 
  -9/32, -1/2, 37/16, 53/32, 5/4, -5/16, -11/8, 2/3, -1/3, 25/48, 0, 0, 
  19/32, -9/32, 17/16, -61/192, 0, 0, -2, -2, 0, -5/4, 0, 1/2, 15/4, 0, 0, 0, 
  7/4, -5/4, 0, -1/2, 0, 0, 5/4, 11/4, 0, 0, 0, -17/16, 1/16, 0, 7/16, 0, 0, 
  0, 0, 0, -1/8, 13/16, -3/16, 7/16, 0, 13/16, 5/4, 0, 0, -3/8, 17/16, -1/16, 
  0, -3/8, -21/16, 0, -7/32, 5/4, 307/32, -13/8, -5/2, -2, -11/8, -17/48, 
  -83/16, 2, 9/8, -79/24, 1/8, 17/8, -37/6, 41/8, 1393/96, 121/96, -695/48, 
  69/32, 1/4, -33/16, -1327/288, -1/2, 1/4, 55/32, -25/32, 1/2, 73/48, 
  159/32, -5/4, -7/4, -3, -1/3, 5/16, -11/12, -75/16, 3/2, -7/12, 1/3, -1/4, 
  7/48, -9/8, -61/24, -9/4, 41/8, 7/12, -61/32, 19/32, -1/3, -155/96, 1/4, 
  -15/8, 785/288, -3/4, -5/4, -133/32, -3/8, -3/4, -45/16, -13/8, 3/8, -3/8, 
  0, 69/16, 19/8, -9/16, -19/6, 5/8, -19/8, 103/24, -9/16, -37/16, -13/4, 
  -107/48, 215/48, -9/8, 5/6, -791/48, -59/48, 341/24, -65/24, 0, -1/16, 
  301/48, 1/4, 1/4, -33/16, -3/8, -3/4, -7/4, -1/2, 1/2, 13/48, 19/8, 1/2, 
  -35/12, -1/2, -2/3, -19/8, 25/6, -1/4, 1/2, -55/16, -1/4, 59/48, 0, 307/48, 
  -859/48, 37/48, 385/24, 11/8, 0, 1/2, 115/16, 0, 0, 0, -9/32, 3/2, -5/4, 
  7/32, 81/32, 1/4, -47/32, 0, -45/16, -37/8, 0, 0, 1/32, 33/16, -3/32, 
  -29/32, -11/32, -1, 1/8, -21/32, 5/16, -73/32, -145/32, -3/8, -63/16, 
  -97/16, 1/4, 1, -7/16, 1/32, -27/32, 1/4, 0, 1, -3/8, -21/32, -25/16, 
  -23/16, 1, -9/8, -63/16, -15/8, 1/4, -21/16, 15/32, 61/32, -37/12, 233/96, 
  195/16, 11/4, -11/32, 29/48, -1/16, 1/2, -11/4, 9/4, 0, -7/6, 79/16, 
  -13/48, 2/3, -19/48, 0, -173/48, 395/48, -7/4, 175/24, -31/4, -59/16, 
  -49/16, 21/8, 41/16, -1/2, -11/8, -3/8, 1/2, 49/32, 17/32, -9/4, -13/8, 1, 
  -17/96, 53/48, -2/3, -13/12, 67/48, -31/48, 0, 0, -215/24, -99/32, -157/48, 
  33/32, 5/8, 0, 121/24, 107/48, 3, 41/32, -23/8, -11/4, 3/4, 0, -61/32, 
  23/32, -1, 81/32, -23/32, 1, -5/8, 0, 35/12, -9/16, 21/8, -83/48, 1/8, 0, 
  7/48, 0, 0, -19/48, 27/16, -63/32, 85/48, -63/32, 97/24, 9/8, -121/48, 
  -175/48, 5/4, 117/32, 0, -3/2, -1/4, 1/4, 23/32, 3/8, -23/32, -5/8, 0, 
  23/12, -9/16, 1/2, -83/48, 9/8, 0, 7/48, 0, 0, 1, 67/32, -51/32, -1/8, 
  -3/32, 1, 7/48, 19/8, -9/8, -169/48, 85/48, 153/32, -27/8, -133/48, 19/8, 
  -7/6, -187/96, -83/96, 31/24, 41/32, 83/96, 2/3, 0, -1/2, 0, 0, 0, 47/48, 
  -7/8, -1/8, 11/24, -11/12, 11/24, -11/24, -11/24, 11/24, 11/24, 11/24, 
  -17/48, 67/96, 137/48, 1313/192, 379/192, 5/16, 259/192, 35/64, -1/3, 
  -49/16, -143/96, -157/96, 241/48, 27/16, -11/24, 11/24, 11/24, -1/4, 
  -11/32, 137/48, -9/8, 381/64, 1, 69/32, 259/192, -43/48, -1/3, -503/96, 
  -27/32, -95/192, 475/64, 97/48, -9/8, 5/8, 1/32, 0, 13/32, 0, 2, 0, 0, 0, 
  0, -7/8, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, -23/8, 9/2, -7/16, -15/8, 107/32, 
  5/3, -107/96, -3/32, -143/32, -57/32, 153/32, 93/32, -29/16, 0, 0, 0, 0, 0, 
  0, 0, 1, 53/32, 0, -1/2, 0, 0, 0, -101/32, 0, -1/4, -3/8, 3/4, 3/8, -1/2, 
  1/2, -1/12, -173/96, 35/96, 101/96, -7/6, 1/12, 71/32, 2/3, 0, 15/8, -5/8, 
  -15/8, 5/8, -67/24, -15/8, 41/12, 67/24, -19/8, 19/8, 19/8, 0, -1/2, 25/32, 
  -3/32, 11/8, 19/32, -7/8, -1/2, 1/12, -1/96, 295/96, 53/32, 2/3, 1/48, 0, 
  -5/8, -15/8, 0, 67/24, 0, 7/8, 19/8, -5/8, -1, 9/8, 3/32, 3/4, 3/32, 3/8, 
  13/32, -5/8, 7/3, -9/8, -73/48, -43/32, -65/48, -4/3, 113/96, 15/8, 23/16, 
  -81/16, -105/32, 4, 7/48, -13/16, 25/6, -97/48, 43/16, 0, -47/16, 0, 0, 
  -33/32, -1, 0, 33/32, 0, 0, 1/4, 3/8, -1/2, -5/4, 35/96, 49/32, -1/48, 0, 
  -15/8, 5/8, 53/48, 19/8, 0, 1/4, 3/8, -3/4, -3/8, 1/2, -1/2, 1/12, -1/2, 
  425/96, 151/96, 1, -25/48, 1/8, 2/3, 1/6, -11/12, 101/48, 2/3, 0, -15/8, 0, 
  5/8, 15/8, -5/8, 67/24, 45/32, -433/96, 1/12, 427/192, 19/8, -19/8, 51/16, 
  -1/2, -15/32, -3/16, 7/4, 7/32, -9/8, 47/96, 1, 0, 53/48, 1, -31/48, 0, 
  5/8, 1/4, -13/8, -1/2, -1/4, 1/24, -1/3, -161/96, 1/3, 0, 0, -7/8, -15/16, 
  -55/96, 23/16, 0, 37/48, 65/96, 0, 1/4, 19/16, -19/16, 1/4, 1/2, -25/16, 
  -15/32, -3/2, -9/8, -3/16, -3/4, -1/2, 5/4, -7/6, 29/12, 1/2, -67/32, 
  -5/16, -5/4, 41/48, -2, 2/3, -2/3, 3/4, 19/48, 0, -1/2, -1/16, -17/32, 1/2, 
  281/96, 3/8, 11/8, -13/8, -1/2, 2/3, -151/12, 11/48, -37/16, 257/96, 55/32, 
  1/2, 19/24, -13/8, -19/24, 13/8, -35/16, -15/16, -75/32, 11/8, 23/16, 5/4, 
  263/96, -10/3, -23/8, 39/32, 19/16, -19/16, -55/32, 1/2, -7/32, 69/64, 
  33/64, 7/32, -43/64, -15/64, -7/8, 0, -23/32, 1/4, 3/4, -97/192, -59/32, 
  25/64, -247/96, 0, 0, -37/32, -23/32, -193/96, -241/64, 0, -41/32, -21/16, 
  -1/16, 5/16, 27/64, -21/16, -17/32, 73/32, 97/64, -1/2, 343/96, 29/96, 
  5/32, 47/96, 397/192, -1075/192, 113/24, -73/96, -1207/192, -1241/96, 
  83/32, -5/4, -45/16, -373/192, 17/32, 23/16, -221/48, 217/32, 185/192, 
  -205/96, 97/32, 57/16, -19/16, -197/32, 1/4, -33/32, -3/8, -5/4, 49/32, 
  3/8, 3/4, -1/2, 1/4, -1/3, 23/24, 1/4, 61/32, -55/48, -5/8, -19/96, 1/2, 0, 
  -1/3, 25/48, 19/96, 0, 0, -245/96, -19/8, 3/4, 35/6, 23/16, -3/8, -43/16, 
  1/2, 1/2, 143/96, -5/12, -353/96, -187/48, 15/32, -7/6, 1/8, 145/96, 2/3, 
  61/48, 71/32, 15/16, -17/32, 27/16, -23/16, -17/4, -371/96, 37/12, 143/48, 
  37/32, -19/16, 19/16, -21/32, -1/4, -29/96, 25/48, 3/8, 257/192, 11/24, 
  3/8, 259/192, -1/2, 1/12, 29/64, 23/96, 295/192, 75/64, 1/3, 95/192, -7/12, 
  -19/24, -87/64, -11/48, 23/16, 743/192, -31/48, -113/192, -95/192, 239/96, 
  -19/16, -1/3, 0, 0, 1/8, 3/16, -1/4, 1/4, 9/32, 1/24, 1, -13/48, -13/8, 
  -1/12, 3/8, -3/8, -1/3, 0, 0, -15/16, 0, 5/16, -107/32, 73/48, 179/96, 
  53/96, 19/16, -69/32, 0, 1/8, 3/16, -3/8, -3/16, 1/4, -1/4, 1/24, 0, 55/96, 
  -11/48, -1/4, -11/12, -1, 1/3, -1/4, 7/48, 77/48, 1/3, 0, -15/16, 1/4, 
  11/16, 15/16, -1/2, -5/16, -1/2, 71/48, -13/48, -43/12, 59/24, 7/6, -1/12, 
  17/48, -2/3, 0, -11/16, 5/8, -19/16, 67/24, 15/8, -37/32, -67/24, 19/8, 
  -19/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 
  0, 5/2, 0, -5/2, 0, 0, 1, 5/3, 0, 5/3, 0, 0, -5/2, 1/2, 0, 3/2, 1/2, 0, 
  -7/8, 0, 0, 0, 3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/3, 0, 0, 5/2, 1, 0, 0, 
  0, 0, 0, 0, 0, 0, 10/9, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 1, 0, 0, 1, 0, 
  -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10/9, 0, -20/9, 0, 10/9, 0, 0, 2, -4, 
  -5/2, -1/2, 5/4, -1, 0, -1267/8, 44, -1333/8, -1/2, 11/4, 3/4, 1/4, 11/8, 
  -7/8, -11/8, -11/8, 0, -1/2, 1/2, 3/2, 11/8, 0, -11/8, 0, -2, 113/40, 
  -3/10, 41/120, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1/2, 
  -1/2, 1/2, 1/2, 1/2, 1, -1/2, 0, 0, -1/2, -1/2, 0, 0, 0, 1/2, 0, 0, 0, 
  -1/2, 0, 0, 0, 0, 0, -1/2, 0, 3, 0, -3/2, 0, 0, 0, -1/2, 0, 0, 2, 0, 0, 0, 
  0, 0, 0, 0, 0, 2, 0, -5/2, 0, -19/24, 29/24, -7/8, 1/2, 0, 0, 0, -1, -3/2, 
  0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 1, 0, 0, -20/9, 0, 55/9, 0, 0, 0, -1, 0, 0, 
  -3, 0, 0, 1, -20/9, 0, 55/9, 55/9, 447/16, -5477/16, -3187/8, 2709/8, 
  223/8, 10, 0, -6, -3, 7/2, 5, -5/2, 0, 0, -11/8, 29/8, 31/8, -27/40, 
  -197/120, 69/40, -743/120, 343/16, -281/16, 315/8, 2507/8, -19/4, -17/4, 
  11/4, 1/2, 5/2, 0, 0, -37/8, -21/40, 6/5, -21/40, 749/120, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -7/2, 0, 5, 0, 0, 0, -1/2, -1, 3/2, 1, 0, 0, -3, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -125/32, 117/32, 0, 0, 
  -15/8, 0, 0, 0, 0, 1/4, 0, -1/4, 3/8, 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, 7/4, 1/2, -2, -1, 3/4, 
  0, 0, 0, 0, 0, -7/4, -17/12, 0, 0, 0, -1/4, 11/6, 7/6, -1, 0, -1/4, 5/12, 
  -1/4, 1/2, 5/12, -1/12, 0, 0, 0, 0, 1/2, -1/4, -5/4, -7/4, 1/4, -11/8, 1/4, 
  33/16, -13/48, 0, 0, 0, 0, 0, -1/2, 1/4, 5/4, 7/4, 0, 0, 0, 0, -3/16, 0, 0, 
  0, 0, 0, 1/4, -5/3, -1, 1, -5/4, 0, -1/12, 0, -1, 1/12, 0, 0, 0, 5/3, 0, 0, 
  1/4, -3/2, 1/6, -23/96, 47/96, 0, 0, -1/8, 1/2, 0, 0, -1/2, -5/3, 0, 21/16, 
  -1/4, -25/16, -7/6, -3/8, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0, -5/6, -35/18, 
  0, 35/18, 5/9, 0, 5/9, 0, -1/18, -5/9, 373/8, -359/16, 5/4, -5/2, 1/8, 
  11/16, -1/4, 1/2, -2, 1/16, -1/2, 5/4, 0, -11/16, -1/8, -1/8, 1/4, -1/8, 
  83/40, -21/80, 0, 0, 43/32, -51/32, 0, -1, 0, -3/4, 0, 3/8, 3/4, 0, 1/4, 
  -1, 0, 7/4, 1/2, 0, 0, 3/8, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 233/48, -79/96, 
  -131/96, 1/4, 19/12, 25/24, -9/8, 0, 0, 0, 1/2, 0, 1/4, -47/32, -1/4, 
  193/192, 3/8, 0, 0, -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27/32, 
  0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, -27/32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 16715/192, 243/64, 0, 0, 0, 0, 7/2, -7/2, 0, 7/2, 0, 
  189/64, 243/64, -23/32, -117/32, -135/64, 359/64, 0, 0, 0, 0, 101/192, 
  -359/192, 119/192, 11/12, 151/192, -25/16, -5/8, 0, 1/4, -1/4, 0, 1, 0, 
  1/8, 0, 5/4, -5/4, -3/8, 0, -1/8, 0, 0, 0, 0, 0, -511/108, -63/64, 
  4925/864, 0, 0, 0, 0, 0, 0, 0, 0, -5/2, 2/3, 0, -31/12, 0, 0, 0, 4/3, 
  -41/24, 0, 5/4, 0, -1/12, 0, 0, 0, 0, -5/24, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 
  0, 0, 0, 0, 155/24, 1, 1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -91/110, 0, 
  63/55, 0, 0, 0, 0, 0, 1, 0, 0, 0, -5/2, 18/55, 0, 47/55, -7/4, -5/4, 1, 
  -9/2, 7/4, 123/40, 111/40, -7/4, -53/40, 0, 151/40, 1/4, 1/4, -3/2, -5/4, 
  -21/4, -9/2, 1/2, 63/8, -1/2, -101/8, -39/8, 3, 19, -1/2, 15/4, 7/4, 1/4, 
  -31/5, 2, 41/48, 17/24, 0, -1/2, 1/4, 29/48, -29/12, -65/16, 4/3, -5, 
  29/24, 0, 7/2, 8/3, 1/4, -1/2, 0, 3/4, -3/4, 3, -8/3, -7/4, 23/12, 0, 
  -21/16, 17/96, 119/96, -41/48, 1/32, 23/32, 0, -17/48, -79/48, 0, 3, 0, 
  -65/16, -1, 0, 29/48, 5/3, -7/8, -9/16, 13/16, -29/24, 3/2, 0, 0, -3/2, 0, 
  0, 0, 0, 3/4, 5/4, 0, -3, 0, 0, 0, 0, 1/2, 9/16, 1/4, -9/16, -5/12, 0, 
  1/24, 1/2, -1/6, -79/16, 289/48, 5/6, 0, -3/4, -191/24, 1, 11/4, 0, -3/4, 
  5/2, 0, 0, 3/4, -9/16, -9/4, -3/4, 3, 0, 0, 0, -5/2, -5/2, 0, 5/2, -5/3, 0, 
  769/48, -5/3, 99/16, -553/192, 5/2, 3/2, 0, -5/2, 37/24, 35/72, 7/24, 
  41/16, 77/72, 0, 0, 0, 0, 0, 193/18, -235/18, -193/18, 0, 20/9, 0, -41/9, 
  -20/9, -6743/144, -913/48, 0, -913/96, -443/9, 85/24, 0, -817/24, 5/3, 
  -5/2, -5/2, 0, -761/16, 5/3, -1997/32, 0, 2747/96, 0, 5/2, 5/2, 0, 649/48, 
  5/3, 3/2, 7/2, 1, -10/3, 5/6, 3/2, -3/4, 5/2, -43/12, -1/6, 5/12, 163/192, 
  4/3, 11/24, -25/6, 0, 713/192, -37/24, -1009/192, -25/6, 145/192, 713/192, 
  -51/64, -2, -3/2, 0, 2, -205/72, -3/2, -5, -1/2, 283/48, -37/72, 187/24, 
  21/16, -9/8, -33/16, -89/24, 0, 0, 0, 0, 0, 3/8, 0, -13/6, 0, 0, 1/2, 0, 0, 
  1, 0, 1, -1, -3/4, 15/16, -1/4, 9/16, -3/2, 0, 323/36, 0, -323/36, -323/36, 
  -283/36, 0, -5275/144, -1927/144, 0, -5831/288, 0, -2855/72, 257/18, -5, 
  -5, 0, -5687/144, -2339/144, 0, -1369/96, -1, -1643/36, 199/24, 35/12, 
  -11/144, 2, -10/9, -11/4, -319/16, 395/48, 129/8, -295/24, -397/48, 17/24, 
  23/2, -137/16, -983/96, -7/3, 887/96, 137/16, -1, 9/8, -37/16, 0, -3/8, 
  71/8, -1/8, 1337/480, -159/16, -10889/96, -37531/144, -7319/48, -795/8, 
  5597/48, 8555/48, 7879/12, -66215/48, -1631/48, -6089/72, -487597/576, 
  -38543/192, 8361/32, -15229/32, 16735/72, 135/16, 15873/16, -1585/48, 
  -191/4, 3875/96, 2507/16, -152209/192, -18487/96, 9219/32, -70231/288, 
  -383/12, 1/12, -1/12, 23/4, 29/48, 715/64, -5/24, -715/64, 1/3, 29/48, 
  2845/192, -5/24, -2653/192, 767/48, 457/48, -67/24, -337/48, -67/96, 
  -1159/48, 605/48, 1003/96, -71/48, -211/16, 14/3, -21/16, -71/24, -3/16, 
  47/24, 3/2, -11/8, 19/2, -1, 13/16, 11/8, -27/8, -13/16, 1/8, -1/4, 1/8, 2, 
  -23/16, -47/16, -25/16, 19/16, -7/4, -79/16, 13/8, -263/16, 11/2, 1/2, 
  19/8, -1, 5/16, -9/4, 3/32, 2093/480, 31/6, 9/32, -241/30, -3751/480, 
  49/160, 2039/480, -479/960, 23/24, 3943/480, 1459/160, -197/40, -3691/480, 
  -193/80, -8117/480, -13/48, 1063/48, 4511/480, 381/80, 1069/120, -4007/480, 
  -281/30, -347/240, -2543/576, 15/4, 0, -15/4, 0, 15/4, -37/24, 1/2, 1/4, 
  -1/4, 1/4, 1/4, -2, -7/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -23/16, -1/4, 3, -149/192, 37/24, -73/192, -2831/576, 457/192, 1, 37/24, 
  11/32, -2831/576, -3/32, -1, -5/4, 15/4, -3/4, -9/2, -37/24, -5/8, 3/8, 
  -85/16, 17/8, -53/192, -169/192, 169/192, 1/2, -5/8, 5/8, 0, -5/8, -1/8, 
  9/2, 0, -3/4, -9/8, -1, -3/4, 7/4, 7/2, -1/4, 7/16, 1/8, 21/16, 1/4, -5/8, 
  0, 5/8, 3/8, -23/4, 0, 0, 0, 0, 0, 0, 0, -3/16, -37/16, 0, 0, 0, 0, 0, 0, 
  13/16, -3149/192, 1/4, 3293/192, 29/16, -3389/192, -3629/192, 1/4, 299/48, 
  -3/16, 685/64, -469/192, 11, -319/192, -617/96, -467/96, 227/96, 361/64, 
  155/192, -467/96, 169/192, 361/64, 157/64, -1/4, 9/8, 0, 0, 0, 19/24, 3/4, 
  -5/4, 1/2, 3/2, -1/4, -353/48, 0, 0, 0, 0, 1/4, 1/4, 2119/192, -1/2, 
  911/192, 1/2, 25/6, -319/192, -553/192, -47/32, 319/192, 193/192, -351/64, 
  0, 0, 0, -39/8, 23/12, -3/8, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, -1/2, 0, 5/4, 
  1/2, 33/8, -15/8, 9/4, -19/8, 9/16, 19/8, -9/16, 0, 145/32, 13/32, 57/32, 
  9/32, -9/32, 27/32, -377/864, -59/288, -3/8, 317/48, 0, 0, 0, -181/64, 
  293/64, 2, -535/24, 0, 0, 281/24, 0, -1/4, 549/16, -261/16, 1511/48, 
  -325/48, 47/4, 0, 1597/32, 5063/96, 0, -549/16, 515/12, 237/16, -14933/288, 
  -1265/48, -103/32, 325/16, 143/16, -325/16, -183/32, 801/64, -659/32, 
  -955/64, -343/64, -393/64, -27/32, 235/64, 465/64, 0, 0, -73/32, -239/32, 
  0, -15713/192, -11/4, 739/64, 11/4, -27/32, -27/16, 279/16, 125/8, -279/16, 
  -223/16, 363/32, -567/32, -47/2, -555/64, -269/16, -27/32, 459/32, 905/64, 
  -27/32, -3/4, 81/16, 5/4, -81/16, -1/2, 97/32, -567/32, -227/16, -699/64, 
  43/32, -45/32, 0, 835/64, -9/32, 15/16, -95/12, -1507/288, 511/192, 
  811/288, 119/24, 0, 43721/3456, -97/192, 0, 251/48, 23/12, -25141/864, 
  -125/32, -305/96, -44945/3456, 33011/5184, 3/32, 41993/1152, -32525/5184, 
  -39653/1728, 14921/3456, 53/12, -9737/2592, 105/16, -67/432, 36635/1728, 
  33379/5184, -1/2, 35063/5184, 3/32, 3/2, -23777/5184, -1, 34253/3456, 
  53/12, -71197/5184, 105/16, 26099/3456, 61/216, -187/144, 1339/81, 5/4, 0, 
  0, 13/8, -5/2, -17/32, 0, 0, 21/16, 0, -7/4, 7/4, 0, 27/8, 0, 0, -1/16, 
  7/4, 1/4, 5/4, -65/16, -7/2, 65/16, 9/4, 39/16, 43/32, -45/8, -25/16, 
  699/64, 9/32, -1523/64, -387/32, -9/32, 0, 0, -5/8, 65/32, 11/8, -71/32, 0, 
  0, -109/32, 0, 0, 5/8, 0, -5/8, 0, -7/8, 7/8, 7/2, -2125/288, 269/36, -7/2, 
  -207/64, 1265/432, 23/32, 5249/576, -5249/576, -4925/1728, 0, 0, 0, -69/32, 
  2449/864, -169/96, 101/96, -4925/1728, 2/3, 17/4, 1/3, -421/96, -121/32, 0, 
  0, 1/3, 11/48, -7/32, 0, 5/4, 0, -11/48, 0, 1/2, 0, -1/2, 2/3, 0, 0, 0, 
  -2/3, 0, 0, 99/64, 0, -1211/192, -541/48, 3/8, 1/8, 0, -153/64, 691/96, 
  1/8, 23/32, 0, 149/72, -1/2, 0, -455/72, 1/2, -1/8, 7/4, 1/2, 79/8, 29/24, 
  -595/48, -31/4, 5/8, 85/48, 185/24, 13/24, 1/2, 1273/48, 1289/96, 367/96, 
  -321/16, -11/16, -7/6, -2339/96, -25/4, 2/3, -155/48, -85/12, -173/96, 
  203/48, -7/3, -4/3, -17/8, 0, 1/8, -29/12, 0, 0, -2/3, -17/12, 5/3, 0, 2, 
  -1/6, 67/24, 241/96, 503/96, 211/32, -23/8, -7/6, 145/48, -45/8, 2/3, 
  -61/16, 217/32, -121/96, 163/48, 21/16, 1/2, 103/24, 439/96, -25/8, 13/12, 
  5/8, -7/6, 2, -473/96, 2/3, -113/24, 221/48, -221/96, 129/32, 59/48, 0, 
  -7/48, -103/192, 599/144, 127/192, -599/144, 0, 13/8, 0, -1/2, 0, 1/2, 0, 
  397/192, -991/384, -427/384, 0, -7/48, 455/384, 0, 811/96, 53/384, 0, 
  23/16, 397/192, -23/8, -247/64, 1/2, 0, -7/48, 451/384, 0, 1015/384, 
  485/192, -73/128, 35/128, -5/4, -11/48, 0, 0, 5/4, 11/48, -2/3, 0, 0, 0, 
  2/3, 0, 0, 3, 11/4, -19/8, -1/2, 0, 3/2, 0, -9, 65/8, -117/64, 0, 7/32, 0, 
  -11/32, 0, 0, 0, 9/32, 0, -111/32, 0, 5/8, 3/16, -241/16, -103/8, 435/32, 
  0, -7/12, 1607/96, 1/2, -7/8, 3/16, 279/32, 17/24, 0, 0, -5/8, 0, 0, 19/4, 
  0, 0, 0, 19/24, -7/8, -1/2, 1/3, -1/2, 5/96, -19/32, -323/96, -41/16, 
  55/48, 13/24, 25/12, 151/24, -19/24, 77/16, -83/96, 919/96, -31/6, -41/32, 
  0, -83/192, -41/32, -17/8, -29/8, -3/8, 0, 29/12, 19/4, -1/8, 179/192, 
  -115/192, 155/48, -49/64, 397/192, 235/96, -1795/144, 2417/96, -2181/64, 
  1759/192, 0, -1163/768, 33/64, -3571/384, -503/96, 19/16, -4891/384, 
  707/96, 0, 0, 0, -9/16, -4319/96, 1049/96, -545/32, -6571/144, -205/32, 
  -2191/36, 451/288, 13355/288, 31/2, 1819/48, -691/72, 707/32, -3631/72, 
  -10/9, -25/8, 329/96, 0, 0, 725/72, -9/2, 7/4, -1061/48, 2293/64, 7/2, 7/4, 
  -2095/192, 0, 0, 121/32, -193/32, 5/8, 0, 735/32, 3643/96, 0, -19/12, 
  -10013/576, 3/8, -2399/144, -5/3, -175/96, 5219/96, -43/8, 199/96, -751/96, 
  5/8, 1777/144, 1003/32, 3911/96, -2465/96, 6703/192, -11621/576, -3/8, 
  -15625/576, -5/3, -1/4, 5377/144, -173/32, -7/4, 3275/96, 2, -853/288, 
  2959/96, 149/96, -2465/96, 31/24, -10685/576, 0, -27199/576, -1/2, 
  2101/384, -137/64, -1283/384, 293/192, 11/12, 4991/576, 23/192, -1653/128, 
  -995/192, 563/48, 521/192, -161/16, 0, -1607/192, 55/32, 40181/13824, 
  259/192, -11/24, 0, -315/64, -259/192, 7/12, -84533/13824, -341/192, 
  83081/4608, 1153/192, -85657/4608, 673/384, 437/64, 7/3, -361/384, 
  -1687/192, -71/32, 141/128, -599/192, 907/192, -37/48, 20081/3456, 
  8761/384, 91145/4608, -1561/192, -82201/4608, 1/2, 147/16, 7/3, -11/48, 
  -275/48, -3/4, 8953/1152, -599/192, 147/64, -37/48, -29861/1728, 6155/384, 
  135977/4608, -1309/192, -134713/4608, -23/24, 3/8, -7/24, -1/8, 1/2, 23/24, 
  -3/8, 275/288, 0, 0, -67489/2880, -1/2, 137353/5760, 1/8, 0, 3677/288, 
  -611/384, -7/12, 67489/2880, -141883/5760, -2359/288, -77/32, 1/2, 307/96, 
  565/64, -13/8, 595/192, 1/4, -301/128, -1343/128, -871/192, -35/128, 
  53569/2880, -331/32, -140803/5760, -105/32, -17/12, 549/64, -1/2, -53/24, 
  -1579/128, 9/8, 25/128, 17/12, -2735/192, 1/2, 1425/128, 17/3, 0, -347/18, 
  323/32, 11/4, -183/32, -3835/72, 367/18, -179/96, 421/48, 451/36, -111/32, 
  -5023/144, 0, -45/8, 137/12, 271/32, 27/4, -287/32, 0, 2645/144, -443/96, 
  0, 47/8, -2851/144, -83/32, 5897/144, 2179/144, -487/48, 1283/144, 635/48, 
  739/24, 5611/144, -23/16, -77/12, -683/48, -2885/72, 47/24, -229/4, -51/8, 
  -389/16, 3265/36, 2339/144, 0, -151/36, 367/24, 11/4, 1535/72, -11/8, 
  139/24, -1325/96, -1463/72, -7/8, 89/18, -1547/96, -43/24, 8129/72, 67/6, 
  73/36, -935/48, 97/72, 47/16, 116437/1152, 141469/192, 338833/288, 5735/32, 
  -43/16, 49669/96, -4853/12, -4551/16, -83557/192, -219/32, 3/4, 155/32, 
  -20115/16, 5, -694667/576, -4327/64, 149/72, 1/24, 893/144, -21/8, 
  -1567/144, 1, 2153/144, 617/72, -45/16, -401/72, 4291/288, -235/144, 
  -2065/192, 1, 133/24, -193/72, 359/24, -45/16, -2143/96, -101/9, 4291/288, 
  259/32, -235/144, 187/12, -927/64, -525/32, -85/48, 31/8, 487/16, -1/2, 
  79/16, -129/16, -21/8, -817/32, 13/4, 1, -83/16, 57/8, 41/8, 355/16, 11/8, 
  -1/4, -11/8, -17/8, 191/32, -5/2, 299/32, 71/16, -147/16, -147/32, -3/4, 
  3/2, -51/32, 817/320, 119/15, -265/64, 25/16, 1649/480, 157/15, 357/320, 
  -1583/120, 167/1920, -323/96, -5/8, 4111/480, 8291/960, 169/24, -859/128, 
  19/96, 25/12, -169/16, 0, -35/12, 137/16, 5/6, 189/20, 7723/640, -591/160, 
  -50627/5760, 315/32, 1667/128, -37/8, -2139/128, 203/16, 187/16, 13/8, 
  -51/16, -125/16, -109/16, -27/8, -379/16, -93/8, 275/24, 12, -13/8, 0, 
  -15/8, 13/8, 0, 27/16, 1009/192, 169/36, 71/32, 15841/1152, -23/3, 
  -24775/1152, 0, -291667/10368, -97/48, -67451/3456, -251323/20736, 
  130951/6912, 0, -3805/288, -38153/5184, 0, -111599/6912, 41393/5184, 
  -141571/6912, 59939/3456, 138343/20736, -149/96, -275861/6912, 
  -215215/20736, 143119/6912, -20713/1728, -4291/288, -26741/5184, 43/72, 
  -216379/20736, -91151/6912, -7/4, 51311/5184, -143299/6912, -57/64, 
  125491/20736, -149/96, -146659/6912, -196963/20736, 161803/6912, 
  -31783/1728, -4291/288, 15001/5184, 43/72, -938371/20736, -65735/6912, 
  15745/1152, 5411/5184, -291373/6912, 1/4, -1/4, 3, -1667/160, -3/2, 
  1727/160, -15/8, -33/8, 3/8, 1857/160, 7/4, 5/12, -23/8, 85/128, -4/3, 
  5/32, 13/24, 0, -181/128, -83/20, -19/36, -8, -883/128, 4, 47/128, -15/8, 
  21/8, -133/16, 1, -31/8, 141/16, 5/4, 183/32, 305/32, -29/4, -303/32, 
  -5/32, -25/16, -13/16, -379/32, 179/16, -1/4, 1, 1/4, -25/8, 291/32, 7/4, 
  -257/32, -3/2, 3/4, 3/2, -57/8, -37/8, 0, 0, -9/2, -7, 0, 0, -40/3, 0, 0, 
  0, 0, 1, -3, -9/8, 21/2, 11/8, 13/2, -7/3, -1/3, -175/12, 4/3, 1/2, 0, 
  -13/4, -1/2, 0, 1/16, -33/32, 9/32, -9/16, 29/16, 2, -11/16, 33/32, -5/8, 
  5/8, 2, 0, -11/2, -2, 0, 41/64, 88349/20736, -39/32, 137155/6912, 
  -15041/20736, -154027/6912, 5917/384, 5939/288, -124189/5184, -6331/288, 
  -15079/1152, -323/192, 5875/288, 5/64, 473/384, -7/144, 479/288, -2195/192, 
  -5/36, -719/192, -1519/288, 269/144, 7/32, -511/288, -121/48, 0, 0, -11/24, 
  -11/24, 29/32, 0, 0, 0, -11/24, 0, 11/8, 409/48, -463/256, -3/32, 433/128, 
  -3/32, -275/256, 2467/384, 167/288, 2015/384, -1489/288, 0, 0, 449/144, 0, 
  -203/432, -97/96, 1055/768, -23/64, -1163/768, -485/144, -3077/288, 
  369/128, 491/144, 253/768, -3/32, 1165/256, -467/384, 0, 1253/96, 2533/192, 
  -317/96, -3965/192, -4673/192, -283/192, -1255/96, 277/192, 1015/48, 5/48, 
  294665/6912, 19, -313/64, -7735/192, 58889/2304, 1, 623/48, -317/96, 1/4, 
  -2243/96, -3/4, -1573/96, 277/192, 2005/96, 5/48, 225365/6912, 139/8, 
  -499/48, -10939/192, 53129/2304, 13/4, -19/8, 17/16, 0, 0, -127/240, 0, 0, 
  0, 0, 0, -1217/96, 11549/384, 11533/1440, -43/6, 0, 5/12, 28451/2880, 
  12685/384, -25/12, -11879/640, 5/8, -1/3, -6305/288, 3817/384, 1/36, 
  -28451/2880, -289/384, 26869/5760, -137/4, 553/64, -71059/20736, -27/16, 
  108643/6912, 49759/20736, -153451/6912, -463/320, 126661/5760, 13133/5184, 
  -69731/5760, 0, 0, 0, -15/8, 8687/1920, 1/2, -11807/1920, 0, 0, 0, 
  -3107/1920, 0, 1/4, -29/96, -3/8, 0, 5/16, -1/4, -1/3, -31/24, 35/36, 
  -77/12, 2/3, 1/3, -1/4, 107/48, 33/16, 925/288, -41/48, 7/12, -143/96, 
  -31471/576, -1/3, -197/96, -19/8, 25/48, 113/96, 0, 1471/144, -367/64, 3/8, 
  7/8, -1057/144, -57/8, 31/16, -29/12, -3/8, 0, 1595/96, 229/192, 361/36, 
  -427/32, 7/48, -1/48, 2017/96, 1/8, -1471/144, 337/24, -9/4, -151/24, 
  -3/16, 7/4, -8989/288, -273/32, 613/96, -61/32, -757/96, 19/8, 5/16, 
  -2083/288, 0, 7/8, 93/32, -1/2, -13/2, -93/32, 5/8, 45/8, -1/8, 0, -41/12, 
  -9/32, -17/48, -23/24, -565/48, 0, 49/24, -373/48, 0, 19/8, -97/16, 23/8, 
  79/16, -1/2, -73/16, 5/8, 75/8, -7/4, -9/16, -9/16, 0, 27791/5184, -55/288, 
  7/8, -71827/5184, 503/144, -3/2, 22349/1296, 5/8, 17/96, 1349/576, 
  5003/5184, 269/576, -11621/1296, 31/48, 2033/576, -116723/5184, 
  -113255/5184, 109543/10368, 257/144, 121/192, 236123/10368, 161/576, 
  41593/2592, -2177/576, -53669/3456, 43/48, -65/72, 0, 0, 0, 0, -299/32, 
  -65/32, -3, 101/16, 21/8, -17/96, 85/48, -31/6, -31/48, 0, 0, 0, 0, 0, 
  851/192, -7/8, -553/64, -901/192, 0, 49/8, 0, -1/4, -3/8, 3/4, 3/8, -1/2, 
  1/2, -1/12, -17/32, 1051/216, -257/96, -7/6, 1/12, 25/288, 2/3, 0, 15/8, 
  -5/8, -15/8, 5/8, -67/24, -15/8, -2531/1728, 67/24, -19/8, 19/8, 19/8, 1/4, 
  81/32, -143/64, 1/2, -11/16, 67/16, 0, 43/32, -1/4, 257/54, 7/8, -5/6, 
  -1/4, -1/4, 17/36, 11147/2640, 37/27, -269/72, 2/3, 15281/864, -4115/864, 
  -1/6, -805/288, -7/16, -17/36, 671/288, -41/48, -9/8, -191/32, 3, 95/32, 
  3/16, 181/24, 31/96, 1/8, -37/16, -9/8, 7, 1, -149/48, 31/32, 263/24, 
  -587/96, 17/4, 283/16, -527/24, -325/12, 199/32, 89/96, -5/3, -245/96, 
  617/120, -1/48, -553/96, -51/8, -1529/96, -105/16, -133/32, -23/24, 49/48, 
  175/16, 3/8, -5/12, 43/32, 3/4, -1/2, 169/32, 59/24, 31/16, 209/96, -27/16, 
  1/48, -43/12, 5/12, 95/24, 7/48, 31/24, 1/3, -7/12, -125/8, -17/2, 265/96, 
  1049/48, -45/16, 7/12, 797/48, 85/96, -1/3, 23/32, 213/32, 39/16, -55/32, 
  0, 11/48, -1417/192, 71/192, 1225/192, 0, -851/144, -659/64, 0, 0, 
  1177/192, 7/24, -359249/6912, -6985/192, 563/24, 1/2, 7/4, 2795/48, 0, 
  360977/6912, 30, -94145/2304, -9203/192, 40097/2304, 159/32, 3/4, -159/32, 
  59/48, 0, 191/32, -2, 0, 279/16, 465/32, -5/8, -117/8, -3/8, 2/3, -135/8, 
  -67/16, 0, -717/32, -543/16, 20, 129/8, 621/32, 1/4, -17/32, 1, 55/192, 
  1/2, -45/16, -109/24, 29/16, 1/6, -1/12, -11/48, -21/4, 1/8, -2/3, 1/6, 
  -1/4, -11/16, 27/16, 173/12, 1889/192, -435/32, 7/12, -349/192, -1999/96, 
  -11/24, 47/32, -19/8, -279/32, -31/16, 1/2, -93/16, -201/32, 1/32, -1, 
  485/36, -3073/288, -21/8, -5/8, 2, -7/6, 6301/288, 155/48, -251/144, 
  131/16, 67/48, 2/3, -8/3, 109/72, 0, -565/288, -10127/432, -9/2, -119/48, 
  179/16, -27/8, -71/144, -1577/144, 47/32, 4877/288, -425/96, -9/2, -9/16, 
  2125/288, 1, -1/2, 491/128, 445/192, 9/8, -1099/384, -29/64, -1/4, -7/12, 
  0, 95/96, -4955/576, 873/64, -151/192, -7/12, -21/16, -1/6, 325247/13824, 
  8705/384, -65/16, 66857/13824, -581/48, -163/192, -149/16, -7/96, 
  -1253/192, 1/6, 43057/6912, 41/32, 163/96, 7/8, -37/16, -13/6, 857/192, 
  3/32, 127/24, -131/64, -3/2, -1/2, 575/192, -5/32, 7/12, 17/8, 3/2, 43/32, 
  7/6, -485/192, -1/48, 13/6, -6277/576, -173/96, -33/8, 1967/288, 15/8, 
  16907/4320, 10103/288, -58807/4320, -34471/1728, 1907/288, 173/96, -153/32, 
  -2035/72, 33/16, 0, -11/2, 713/48, 2, 2989/144, 35/16, -1, -13/16, -5/4, 0, 
  1/4, -67/96, -251/96, 193/48, 337/96, 7/12, 47/48, -233/96, -7/12, 97/16, 
  -847/48, -15/8, -9/16, 9/32, -9/8, 8015/144, 513/32, -1439/96, -865/48, 
  1159/96, 19/8, -15/8, 1345/288, 5/4, -1/4, 55/32, -40177/64, -1/8, 
  -241/192, -142519/576, -85/16, 656399/1152, 5823/64, 85/3, -83509/288, 
  37133/144, 52939/288, 492949/576, -60247/288, -13/3, 5/2, 269/48, -19/8, 
  -85/72, 5/9, 113/144, -2263/96, -555/64, 113/32, -57839/192, -35/96, 
  58025/192, 269/144, 61/288, -147929/192, 61/12, 2847/4, 33/16, 50689/64, 
  -617/96, 1889/192, -43/16, 19691/64, -743/96, -7439/24, 148333/192, 253/96, 
  -134473/192, -148459/192, 257/96, 219/32, 2843/192, -2629/192, -875/96, 
  9/16, 33/32, 19/32, 57431/192, 3/16, -57737/192, -7/4, 152467/192, -109/96, 
  67/32, -67879/96, -37/16, 25/16, -151415/192, -261/32, 43/16, 23/8, 223/48, 
  185/32, -59129/192, 55/32, 57587/192, -152431/192, -449/48, 1415/2, 
  150785/192, -41/24, -317/32, -71/8, 1075/96, 229/32, -3/8, 17/32, 203/320, 
  -161/32, 159/160, 23/32, 58247/192, -9/32, -57545/192, 155/48, -1109/384, 
  -679/480, 154555/192, -361/120, -22581/32, -451/96, 5/6, -152671/192, 5/48, 
  0, -809/960, 15/8, 191/96, 117/16, 37/8, -19/8, -1201/480, -115/12, 289/48, 
  -23/16, -1/2, -225/32, 25/48, -19/8, -1/2, -13445/5184, -587/288, 19/8, 
  -1189/5184, -143/144, -15/8, -563/192, 47/96, -397/96, -20357/5184, 
  -359/144, -223/96, -31/48, -407/96, 77555/15552, 41575/5184, 71/24, 
  -127709/6912, 1109/3456, 763/192, -161669/31104, -307/288, -2945/216, 
  1297/288, -395855/20736, 41/96, -709/96, 38059/1728, 105/16, 3/4, -189/32, 
  -7/4, 157/32, 1, 1/2, 2411/480, 19/16, -25/8, 55/48, -1, -47/96, -23/12, 
  -221/48, 31/48, -1, 41/32, 9/16, 15/8, 23/16, -31/8, -1453/240, -2389/384, 
  -19/12, 769/1920, -1201/96, 253/32, 337/32, 197/24, -101/16, -3/2, 11/8, 
  3/32, 2, 11/16, 147/32, -1/4, 113/16, -3/4, 3, -23/24, 1255/96, 395/48, 
  -431/96, -5/6, -5/12, -1577/96, -2/3, 25/4, 29/16, -85/8, -121/32, 55/8, 
  -133/48, -9/16, 71/16, -167/48, 13/8, -19/8, -17/8, 9/8, -551/192, -4/3, 
  -1/4, -5/64, -3/8, -9/32, -263/96, -913/192, -1/8, -151169/6912, -1477/96, 
  125/96, 4505/192, -85193/2304, 3/2, 443/64, -45/32, -9/8, -1103/192, 
  -91/48, -9/8, -339/32, 5/4, -271/96, -147/64, -11257/1152, 205/96, 
  5731/384, 95/48, 341/576, -3343/768, -137/48, 72161/1728, 1139/48, 
  -2981/192, -1091/384, 137/144, -3209/96, 4799/576, -79/48, -15/4, 
  56489/2304, 583/144, 19/4, 0, 0, 0, 0, 0, -1/2, -6733/2880, -3/8, -33/8, 
  9703/2880, 37/8, 47/96, 23/16, -6073/2880, -31/48, 0, 0, -1/2, -3/4, 1, 
  36973/2880, -11705/384, -32863/5760, 7919/960, 0, 15/4, -5/4, -35/96, 
  -19/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 10/33, 
  73/110, 0, 0, 0, 25/18, 63/55, 20581/96, 1/2, 39/20, 2, 3, 39/20, 0, 
  -209/32, 9/8, 0, 0, 0, 0, 0, -10/3, 0, 17/16, 0, 0, 0, 0, 0, 0, 0, -50/9, 
  -299/16, -1/2, 27/8, 1/2, 9/2, 0, 0, 0, 32069/48, -3/8, -27/8, 15/16, 0, 0, 
  0, -15/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -13967/1296, -203/32, 0, 0, 0, 0, 0, -3/2, 5/3, 0, 0, 0, 53/24, 1/8, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1/2, -3, 3/2, 0, 0, 0, 0, 0, 
  10/3, 0, 0, -1/2, -13967/1296, -13967/1296, 0, -203/32, 9/2, 0, 159/64, 0, 
  -1/2, 1/2, 569/144, -15/16, 1079/96, 0, -1/2, 61/165, -1197/880, 0, 0, 0, 
  0, 319/70, 101281/420, 233/32, 0, 1/8, 0, 145/32, 0, 0, 69/8, 0, 0, 3/2, 
  151/48, 0, -161/24, 0, 0, -13/8, 0, -5/2, -1553/880, -61/165, -37/55, 
  -118/165, 1197/880, 537/880, -189/440, 0, 0, 0, -441/110, 3/2, 7/3, 0, 0, 
  -207/880, 59/24, -25/8, 0, 19/2, 37/15, 0, 0, 0, 0, -1051/440, 0, 20/9, 0, 
  -4349/990, -20264699/1440, 2593481/800, 864827/1200, -702/35, -49/20, 
  -21/20, -54683/210, 9/20, -13/4, 401/32, -259/10, 8532701/4800, 
  26392819/4800, -19732589/7200, 19629089/3600, 53189/20, 38/3, 41/4, 8, 8, 
  -14/5, 5/2, 0, 33/4, -4, 17/4, -1871/480, -67/12, -847/120, 183/40, 169/10, 
  97/16, 90217/10368, 38863/10368, 49/16, 181/64, 3/2, -10/3, -23/96, 49/8, 
  33/8, 781/192, 391/192, 9/2, -123/8, 97/16, 0, 19/16, -13/8, -163/16, -3/2, 
  5/3, 377/48, 4, 0, 377/48, 0, -103/12, -225/32, -299/32, 0, 0, 7/8, 425/96, 
  -953/128, -611/128, -781/192, 143/192, 41/16, -13/8, 0, 11/16, 89/48, 
  21/16, -19/16, 13/8, -3/8, 0, 0, -563575/10368, -26353/2880, 0, 0, 40/9, 
  100/9, 618113/17280, -40/9, 89705/3456, 34409/3456, 0, 0, 0, -563575/10368, 
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  -563575/10368, 563575/10368, 480631/10368, 573943/10368, 7, 4, 0, 
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  105065/3456, 91241/3456, 4, 0, 11/4, 0, 0, -56887/720, 0, -56887/720, 0, 
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  34185013/672, -342575/672, 469853/48, -417407/16, -32613/16, 211/16, 
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  -41231/1584, 592787/7920, -9895/594, 117067/2970, 481/24, -81/16, 13/8, 
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  -1759/192, 0, 0, 323/48, -2203/288, -457/576, 57/16, 71/3, 0, 0, -1/2, 0, 
  7/8, 25/8, -1, -1/16, 0, 0, 0, 1/18, -1/3, -2/9, 29/4, 5/2, 0, -8, 79/96, 
  39/8, -19/8, 0, -26657/192, 887/192, -3/2, 7/2, 19/2, 3/2, -277/24, 89/12, 
  1567/192, 901/24, -277/32, -425/12, 0, 0, -10, 0, 27/32, -28/3, -1/8, 9, 
  28/3, 15/4, 709/36, -55/6, -17/12, -130/9, 2159/80, 647/40, -39/5, 
  -9293/160, -57/32, -221/48, -37/16, -3695/576, 37/16, 12023/864, 0, 
  -12023/864, 0, 12023/864, 20545/1728, -209/96, -24973/1728, -1/2, 
  26269/1728, 7/2, -421/20, -7/2, 1103/16, 1907/80, 3191/80, 89/10, -1293/40, 
  -989/20, 5, -1, 421/40, 1, -7771/160, -159/32, -477/128, 477/128, 477/128, 
  229/432, 95/288, 4015/432, 3/16, -4069/432, -1495/192, -11/8, -487/96, 
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  -67061/3456, 0, 0, 0, 0, 0, 29807/5184, 0, 863/384, -16/3, 0, -69/4, -2/3, 
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  5076969/1600, 1015/24, -4879/32, -4571/64, -229/24, 14401/192, -7613/48, 
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  2074151/41472, 1121557/41472, 16183/4608, -2011717/41472, -68665/2592, 
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  91/48, 1007/128, 0, -209/96, 170569/5760, -52707/640, -26635/1152, 
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  0, -61/12, 1287679/41472, 719167/20736, 322745/13824, 15/4, -97/36, 
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  27243331/57600, 216/25, 2299151/28800, 78007/1440, -570217/9600, 
  -26528891/57600, -3/4, 26219/7200, 0, -36119/7200, 53/12, -2329/108, 
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  -477455/3456, 27856153/207360, -1921441/41472, -3329971/17280, 
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  1817/288, -4589/432, -51089/1728, 69127/2304, 91121/6912, 5513/288, 
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  22403/2880, -11947/864, -4867/960, -141823/1920, 29603/5760, 163261/1440, 
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  472698037/1036800, 0, -185/72, 0, -121/72, 185/72, 1571755/32, -156049/96, 
  1128949/288, -17381/24, 1526749/48, -26737/64, -8753359/576, 22853/1152, 
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  51/8, -471/80, -695/36, 3959/240, -153/5, 1765/64, -31/48, 251/20, 
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  -9517/288, -227/144, -1131377/20736, 11773/288, 0, 997375/41472, -7/4, 
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  -7669/128, 5/12, 20761/2880, 1879/128, -121/12, -144041/5760, 79/24, 
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  284221/1440, 72223/2880, 27395449/456192}}
